1,1,9,0,1.014768," ","integrate(x/(x^2-1)^(3/4),x, algorithm=""fricas"")","2 \, {\left(x^{2} - 1\right)}^{\frac{1}{4}}"," ",0,"2*(x^2 - 1)^(1/4)","A",0
2,1,10,0,0.469654," ","integrate((3*x^2+1)/(x^3+x-1)^(1/2),x, algorithm=""fricas"")","2 \, \sqrt{x^{3} + x - 1}"," ",0,"2*sqrt(x^3 + x - 1)","A",0
3,1,10,0,0.489529," ","integrate((x^8-1)/(x^4-1)^(1/2)/(x^8-2*x^4+1),x, algorithm=""fricas"")","-\frac{x}{\sqrt{x^{4} - 1}}"," ",0,"-x/sqrt(x^4 - 1)","A",0
4,1,9,0,0.442202," ","integrate(x/(x^2-1)^(1/3),x, algorithm=""fricas"")","\frac{3}{4} \, {\left(x^{2} - 1\right)}^{\frac{2}{3}}"," ",0,"3/4*(x^2 - 1)^(2/3)","A",0
5,1,9,0,0.436935," ","integrate(x/(x^2-1)^(1/4),x, algorithm=""fricas"")","\frac{2}{3} \, {\left(x^{2} - 1\right)}^{\frac{3}{4}}"," ",0,"2/3*(x^2 - 1)^(3/4)","A",0
6,1,9,0,0.428910," ","integrate(x*(x^2-1)^(1/4),x, algorithm=""fricas"")","\frac{2}{5} \, {\left(x^{2} - 1\right)}^{\frac{5}{4}}"," ",0,"2/5*(x^2 - 1)^(5/4)","A",0
7,1,9,0,0.448743," ","integrate(x*(x^2-1)^(1/3),x, algorithm=""fricas"")","\frac{3}{8} \, {\left(x^{2} - 1\right)}^{\frac{4}{3}}"," ",0,"3/8*(x^2 - 1)^(4/3)","A",0
8,1,9,0,0.461708," ","integrate(x*(x^2-1)^(2/3),x, algorithm=""fricas"")","\frac{3}{10} \, {\left(x^{2} - 1\right)}^{\frac{5}{3}}"," ",0,"3/10*(x^2 - 1)^(5/3)","A",0
9,1,9,0,0.437118," ","integrate(x*(x^2-1)^(3/4),x, algorithm=""fricas"")","\frac{2}{7} \, {\left(x^{2} - 1\right)}^{\frac{7}{4}}"," ",0,"2/7*(x^2 - 1)^(7/4)","A",0
10,1,9,0,0.437595," ","integrate(x/(x^2+1)^(1/3),x, algorithm=""fricas"")","\frac{3}{4} \, {\left(x^{2} + 1\right)}^{\frac{2}{3}}"," ",0,"3/4*(x^2 + 1)^(2/3)","A",0
11,1,9,0,0.420614," ","integrate(x/(x^2+1)^(1/4),x, algorithm=""fricas"")","\frac{2}{3} \, {\left(x^{2} + 1\right)}^{\frac{3}{4}}"," ",0,"2/3*(x^2 + 1)^(3/4)","A",0
12,1,9,0,0.446245," ","integrate(x*(x^2+1)^(1/4),x, algorithm=""fricas"")","\frac{2}{5} \, {\left(x^{2} + 1\right)}^{\frac{5}{4}}"," ",0,"2/5*(x^2 + 1)^(5/4)","A",0
13,1,9,0,0.433924," ","integrate(x*(x^2+1)^(1/3),x, algorithm=""fricas"")","\frac{3}{8} \, {\left(x^{2} + 1\right)}^{\frac{4}{3}}"," ",0,"3/8*(x^2 + 1)^(4/3)","A",0
14,1,9,0,0.440127," ","integrate(x*(x^2+1)^(3/4),x, algorithm=""fricas"")","\frac{2}{7} \, {\left(x^{2} + 1\right)}^{\frac{7}{4}}"," ",0,"2/7*(x^2 + 1)^(7/4)","A",0
15,1,9,0,0.444401," ","integrate(x^2/(x^3-1)^(1/4),x, algorithm=""fricas"")","\frac{4}{9} \, {\left(x^{3} - 1\right)}^{\frac{3}{4}}"," ",0,"4/9*(x^3 - 1)^(3/4)","A",0
16,1,9,0,0.484149," ","integrate(x^2*(x^3-1)^(1/4),x, algorithm=""fricas"")","\frac{4}{15} \, {\left(x^{3} - 1\right)}^{\frac{5}{4}}"," ",0,"4/15*(x^3 - 1)^(5/4)","A",0
17,1,9,0,0.474343," ","integrate(x^2*(x^3-1)^(3/4),x, algorithm=""fricas"")","\frac{4}{21} \, {\left(x^{3} - 1\right)}^{\frac{7}{4}}"," ",0,"4/21*(x^3 - 1)^(7/4)","A",0
18,1,9,0,0.434123," ","integrate(x^2/(x^3+1)^(1/2),x, algorithm=""fricas"")","\frac{2}{3} \, \sqrt{x^{3} + 1}"," ",0,"2/3*sqrt(x^3 + 1)","A",0
19,1,9,0,0.454857," ","integrate(x^2/(x^3+1)^(1/4),x, algorithm=""fricas"")","\frac{4}{9} \, {\left(x^{3} + 1\right)}^{\frac{3}{4}}"," ",0,"4/9*(x^3 + 1)^(3/4)","A",0
20,1,9,0,0.449978," ","integrate(x^2*(x^3+1)^(1/4),x, algorithm=""fricas"")","\frac{4}{15} \, {\left(x^{3} + 1\right)}^{\frac{5}{4}}"," ",0,"4/15*(x^3 + 1)^(5/4)","A",0
21,1,9,0,0.431636," ","integrate(x^2*(x^3+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{4} \, {\left(x^{3} + 1\right)}^{\frac{4}{3}}"," ",0,"1/4*(x^3 + 1)^(4/3)","A",0
22,1,9,0,0.424464," ","integrate(x^2*(x^3+1)^(1/2),x, algorithm=""fricas"")","\frac{2}{9} \, {\left(x^{3} + 1\right)}^{\frac{3}{2}}"," ",0,"2/9*(x^3 + 1)^(3/2)","A",0
23,1,9,0,0.427644," ","integrate(x^2*(x^3+1)^(2/3),x, algorithm=""fricas"")","\frac{1}{5} \, {\left(x^{3} + 1\right)}^{\frac{5}{3}}"," ",0,"1/5*(x^3 + 1)^(5/3)","A",0
24,1,9,0,0.439829," ","integrate(x^2*(x^3+1)^(3/4),x, algorithm=""fricas"")","\frac{4}{21} \, {\left(x^{3} + 1\right)}^{\frac{7}{4}}"," ",0,"4/21*(x^3 + 1)^(7/4)","A",0
25,1,9,0,0.478806," ","integrate((3*x^2+1)*(x^3+x)^(1/3),x, algorithm=""fricas"")","\frac{3}{4} \, {\left(x^{3} + x\right)}^{\frac{4}{3}}"," ",0,"3/4*(x^3 + x)^(4/3)","A",0
26,1,11,0,0.458514," ","integrate(1/x^2/(x^4-1)^(3/4),x, algorithm=""fricas"")","\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}"," ",0,"(x^4 - 1)^(1/4)/x","A",0
27,1,9,0,0.429368," ","integrate(x^3/(x^4-1)^(1/3),x, algorithm=""fricas"")","\frac{3}{8} \, {\left(x^{4} - 1\right)}^{\frac{2}{3}}"," ",0,"3/8*(x^4 - 1)^(2/3)","A",0
28,1,9,0,0.431626," ","integrate(x^3*(x^4-1)^(1/3),x, algorithm=""fricas"")","\frac{3}{16} \, {\left(x^{4} - 1\right)}^{\frac{4}{3}}"," ",0,"3/16*(x^4 - 1)^(4/3)","A",0
29,1,9,0,0.444820," ","integrate(x^3*(x^4-1)^(2/3),x, algorithm=""fricas"")","\frac{3}{20} \, {\left(x^{4} - 1\right)}^{\frac{5}{3}}"," ",0,"3/20*(x^4 - 1)^(5/3)","A",0
30,1,9,0,0.463628," ","integrate(x^3*(x^4-1)^(3/4),x, algorithm=""fricas"")","\frac{1}{7} \, {\left(x^{4} - 1\right)}^{\frac{7}{4}}"," ",0,"1/7*(x^4 - 1)^(7/4)","A",0
31,1,11,0,0.446310," ","integrate((x^4-1)/x^2/(x^4+1)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{x^{4} + 1}}{x}"," ",0,"sqrt(x^4 + 1)/x","A",0
32,1,9,0,0.442476," ","integrate(x^3/(x^4+1)^(1/3),x, algorithm=""fricas"")","\frac{3}{8} \, {\left(x^{4} + 1\right)}^{\frac{2}{3}}"," ",0,"3/8*(x^4 + 1)^(2/3)","A",0
33,1,9,0,0.411343," ","integrate(x^3*(x^4+1)^(1/4),x, algorithm=""fricas"")","\frac{1}{5} \, {\left(x^{4} + 1\right)}^{\frac{5}{4}}"," ",0,"1/5*(x^4 + 1)^(5/4)","A",0
34,1,9,0,0.459146," ","integrate(x^3*(x^4+1)^(1/3),x, algorithm=""fricas"")","\frac{3}{16} \, {\left(x^{4} + 1\right)}^{\frac{4}{3}}"," ",0,"3/16*(x^4 + 1)^(4/3)","A",0
35,1,9,0,0.475431," ","integrate(x^3*(x^4+1)^(2/3),x, algorithm=""fricas"")","\frac{3}{20} \, {\left(x^{4} + 1\right)}^{\frac{5}{3}}"," ",0,"3/20*(x^4 + 1)^(5/3)","A",0
36,1,9,0,0.455022," ","integrate(x^4*(x^5-1)^(2/3),x, algorithm=""fricas"")","\frac{3}{25} \, {\left(x^{5} - 1\right)}^{\frac{5}{3}}"," ",0,"3/25*(x^5 - 1)^(5/3)","A",0
37,1,9,0,0.444105," ","integrate(x^4*(x^5+1)^(2/3),x, algorithm=""fricas"")","\frac{3}{25} \, {\left(x^{5} + 1\right)}^{\frac{5}{3}}"," ",0,"3/25*(x^5 + 1)^(5/3)","A",0
38,1,9,0,0.430017," ","integrate(x^5/(x^6-1)^(1/3),x, algorithm=""fricas"")","\frac{1}{4} \, {\left(x^{6} - 1\right)}^{\frac{2}{3}}"," ",0,"1/4*(x^6 - 1)^(2/3)","A",0
39,1,9,0,0.450641," ","integrate(x^5*(x^6-1)^(1/4),x, algorithm=""fricas"")","\frac{2}{15} \, {\left(x^{6} - 1\right)}^{\frac{5}{4}}"," ",0,"2/15*(x^6 - 1)^(5/4)","A",0
40,1,9,0,0.460454," ","integrate(x^5*(x^6-1)^(1/3),x, algorithm=""fricas"")","\frac{1}{8} \, {\left(x^{6} - 1\right)}^{\frac{4}{3}}"," ",0,"1/8*(x^6 - 1)^(4/3)","A",0
41,1,9,0,0.441413," ","integrate(x^5*(x^6-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{9} \, {\left(x^{6} - 1\right)}^{\frac{3}{2}}"," ",0,"1/9*(x^6 - 1)^(3/2)","A",0
42,1,9,0,0.448147," ","integrate(x^5*(x^6-1)^(3/4),x, algorithm=""fricas"")","\frac{2}{21} \, {\left(x^{6} - 1\right)}^{\frac{7}{4}}"," ",0,"2/21*(x^6 - 1)^(7/4)","A",0
43,1,11,0,0.424525," ","integrate((x^6-2)/x^3/(x^6+1)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{x^{6} + 1}}{x^{2}}"," ",0,"sqrt(x^6 + 1)/x^2","A",0
44,1,9,0,0.471790," ","integrate(x^5/(x^6+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{4} \, {\left(x^{6} + 1\right)}^{\frac{2}{3}}"," ",0,"1/4*(x^6 + 1)^(2/3)","A",0
45,1,9,0,0.473575," ","integrate(x^5*(x^6+1)^(1/4),x, algorithm=""fricas"")","\frac{2}{15} \, {\left(x^{6} + 1\right)}^{\frac{5}{4}}"," ",0,"2/15*(x^6 + 1)^(5/4)","A",0
46,1,9,0,0.457367," ","integrate(x^5*(x^6+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{8} \, {\left(x^{6} + 1\right)}^{\frac{4}{3}}"," ",0,"1/8*(x^6 + 1)^(4/3)","A",0
47,1,12,0,0.458461," ","integrate((x^3-4)/x^2/(x^3-1)^(3/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(x^{3} - 1\right)}^{\frac{1}{4}}}{x}"," ",0,"-4*(x^3 - 1)^(1/4)/x","A",0
48,1,25,0,0.480812," ","integrate(1/x/(x^3+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{3} \, \log\left(\sqrt{x^{3} + 1} + 1\right) + \frac{1}{3} \, \log\left(\sqrt{x^{3} + 1} - 1\right)"," ",0,"-1/3*log(sqrt(x^3 + 1) + 1) + 1/3*log(sqrt(x^3 + 1) - 1)","B",0
49,1,12,0,0.473643," ","integrate((x^3+4)/x^2/(x^3+1)^(3/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(x^{3} + 1\right)}^{\frac{1}{4}}}{x}"," ",0,"-4*(x^3 + 1)^(1/4)/x","A",0
50,1,10,0,0.454858," ","integrate((3*x^2+2)*(x^3+x)^(1/3)/(x^2+1),x, algorithm=""fricas"")","\frac{3}{2} \, {\left(x^{3} + x\right)}^{\frac{1}{3}} x"," ",0,"3/2*(x^3 + x)^(1/3)*x","A",0
51,1,22,0,0.474382," ","integrate((-2+x)/(-1+x)/(x^3-x^2)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{3} - x^{2}\right)}^{\frac{3}{4}}}{x^{2} - x}"," ",0,"4*(x^3 - x^2)^(3/4)/(x^2 - x)","A",0
52,1,18,0,0.449628," ","integrate((2+x)/(1+x)/(x^3+x^2)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{3} + x^{2}\right)}^{\frac{3}{4}}}{x^{2} + x}"," ",0,"4*(x^3 + x^2)^(3/4)/(x^2 + x)","A",0
53,1,12,0,0.460004," ","integrate(1/x^2/(x^4+1)^(3/4),x, algorithm=""fricas"")","-\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}"," ",0,"-(x^4 + 1)^(1/4)/x","A",0
54,1,12,0,0.450225," ","integrate((x^4+3)/x^4/(x^4+1)^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{x^{4} + 1}}{x^{3}}"," ",0,"-sqrt(x^4 + 1)/x^3","A",0
55,1,12,0,0.450793," ","integrate((4*x^3-1)/(2*x^4-2*x-1)^(1/2),x, algorithm=""fricas"")","\sqrt{2 \, x^{4} - 2 \, x - 1}"," ",0,"sqrt(2*x^4 - 2*x - 1)","A",0
56,1,12,0,0.450262," ","integrate((x^5-4)/x^2/(x^5+1)^(3/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{5} + 1\right)}^{\frac{1}{4}}}{x}"," ",0,"4*(x^5 + 1)^(1/4)/x","A",0
57,1,12,0,0.463673," ","integrate((x^5+4)/x^2/(x^5-1)^(3/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{5} - 1\right)}^{\frac{1}{4}}}{x}"," ",0,"4*(x^5 - 1)^(1/4)/x","A",0
58,1,25,0,0.530983," ","integrate((5*x^3+2)/(x^3+1)^(1/2)/(x^5+x^2+1),x, algorithm=""fricas"")","\arctan\left(\frac{{\left(x^{5} + x^{2} - 1\right)} \sqrt{x^{3} + 1}}{2 \, {\left(x^{4} + x\right)}}\right)"," ",0,"arctan(1/2*(x^5 + x^2 - 1)*sqrt(x^3 + 1)/(x^4 + x))","B",0
59,1,10,0,0.448418," ","integrate(1/x/(x^6-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, \arctan\left(\sqrt{x^{6} - 1}\right)"," ",0,"1/3*arctan(sqrt(x^6 - 1))","A",0
60,1,12,0,0.461188," ","integrate((x^6-2)/x^2/(x^6+1)^(3/4),x, algorithm=""fricas"")","\frac{2 \, {\left(x^{6} + 1\right)}^{\frac{1}{4}}}{x}"," ",0,"2*(x^6 + 1)^(1/4)/x","A",0
61,1,25,0,0.454720," ","integrate(1/x/(x^6+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{6} \, \log\left(\sqrt{x^{6} + 1} + 1\right) + \frac{1}{6} \, \log\left(\sqrt{x^{6} + 1} - 1\right)"," ",0,"-1/6*log(sqrt(x^6 + 1) + 1) + 1/6*log(sqrt(x^6 + 1) - 1)","B",0
62,1,12,0,0.437924," ","integrate((x^6+2)/x^2/(x^6-1)^(3/4),x, algorithm=""fricas"")","\frac{2 \, {\left(x^{6} - 1\right)}^{\frac{1}{4}}}{x}"," ",0,"2*(x^6 - 1)^(1/4)/x","A",0
63,1,34,0,0.514799," ","integrate((2*x^6-1)/(x^6+1)^(1/2)/(x^6-x^2+1),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(\frac{x^{6} + x^{2} - 2 \, \sqrt{x^{6} + 1} x + 1}{x^{6} - x^{2} + 1}\right)"," ",0,"1/2*log((x^6 + x^2 - 2*sqrt(x^6 + 1)*x + 1)/(x^6 - x^2 + 1))","B",0
64,1,25,0,0.596880," ","integrate((2*x^6+1)/(x^6-1)^(1/2)/(x^6+x^2-1),x, algorithm=""fricas"")","-\frac{1}{2} \, \arctan\left(\frac{2 \, \sqrt{x^{6} - 1} x}{x^{6} - x^{2} - 1}\right)"," ",0,"-1/2*arctan(2*sqrt(x^6 - 1)*x/(x^6 - x^2 - 1))","B",0
65,1,11,0,0.428885," ","integrate((3*x^2-1)/(x^3-x)^(1/3),x, algorithm=""fricas"")","\frac{3}{2} \, {\left(x^{3} - x\right)}^{\frac{2}{3}}"," ",0,"3/2*(x^3 - x)^(2/3)","A",0
66,1,11,0,0.443423," ","integrate((3*x^2-1)*(x^3-x)^(1/3),x, algorithm=""fricas"")","\frac{3}{4} \, {\left(x^{3} - x\right)}^{\frac{4}{3}}"," ",0,"3/4*(x^3 - x)^(4/3)","A",0
67,1,35,0,0.460911," ","integrate((-x^3+x+2)/(x^3+x+1)^(1/2)/(x^3-x^2+x+1),x, algorithm=""fricas"")","\log\left(\frac{x^{3} + x^{2} + 2 \, \sqrt{x^{3} + x + 1} x + x + 1}{x^{3} - x^{2} + x + 1}\right)"," ",0,"log((x^3 + x^2 + 2*sqrt(x^3 + x + 1)*x + x + 1)/(x^3 - x^2 + x + 1))","B",0
68,1,34,0,0.494809," ","integrate((x^4+1)/(-x^4+1)/(x^4+x^2-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(\frac{x^{4} + 2 \, x^{2} + 2 \, \sqrt{x^{4} + x^{2} - 1} x - 1}{x^{4} - 1}\right)"," ",0,"1/2*log((x^4 + 2*x^2 + 2*sqrt(x^4 + x^2 - 1)*x - 1)/(x^4 - 1))","B",0
69,1,12,0,0.438383," ","integrate((x^3-4)/x^4/(x^3-1)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(x^{3} - 1\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"-4/3*(x^3 - 1)^(3/4)/x^3","A",0
70,1,12,0,0.462364," ","integrate((x^3-1)^(1/3)/x^5,x, algorithm=""fricas"")","\frac{{\left(x^{3} - 1\right)}^{\frac{4}{3}}}{4 \, x^{4}}"," ",0,"1/4*(x^3 - 1)^(4/3)/x^4","A",0
71,1,12,0,0.468484," ","integrate((x^3-1)^(2/3)/x^6,x, algorithm=""fricas"")","\frac{{\left(x^{3} - 1\right)}^{\frac{5}{3}}}{5 \, x^{5}}"," ",0,"1/5*(x^3 - 1)^(5/3)/x^5","A",0
72,1,12,0,0.446149," ","integrate((x^3+1)^(1/3)/x^5,x, algorithm=""fricas"")","-\frac{{\left(x^{3} + 1\right)}^{\frac{4}{3}}}{4 \, x^{4}}"," ",0,"-1/4*(x^3 + 1)^(4/3)/x^4","A",0
73,1,12,0,0.457250," ","integrate((x^3+1)^(2/3)/x^6,x, algorithm=""fricas"")","-\frac{{\left(x^{3} + 1\right)}^{\frac{5}{3}}}{5 \, x^{5}}"," ",0,"-1/5*(x^3 + 1)^(5/3)/x^5","A",0
74,1,22,0,0.452163," ","integrate((x^3-2)*(x^3+1)^(3/2)/x^6,x, algorithm=""fricas"")","\frac{2 \, {\left(x^{6} + 2 \, x^{3} + 1\right)} \sqrt{x^{3} + 1}}{5 \, x^{5}}"," ",0,"2/5*(x^6 + 2*x^3 + 1)*sqrt(x^3 + 1)/x^5","A",0
75,1,12,0,0.450878," ","integrate((x^3+4)/x^4/(x^3+1)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(x^{3} + 1\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"-4/3*(x^3 + 1)^(3/4)/x^3","A",0
76,1,12,0,0.438982," ","integrate(1/x^2/(x^3+x)^(1/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(x^{3} + x\right)}^{\frac{2}{3}}}{4 \, x^{2}}"," ",0,"-3/4*(x^3 + x)^(2/3)/x^2","A",0
77,1,17,0,0.487546," ","integrate((x^2+1)*(x^2+3)/x^6/(x^3+x)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(x^{3} + x\right)}^{\frac{3}{4}} {\left(x^{2} + 1\right)}}{7 \, x^{6}}"," ",0,"-4/7*(x^3 + x)^(3/4)*(x^2 + 1)/x^6","A",0
78,1,17,0,0.462855," ","integrate((x^3+x)^(1/3)/x^4,x, algorithm=""fricas"")","-\frac{3 \, {\left(x^{3} + x\right)}^{\frac{1}{3}} {\left(x^{2} + 1\right)}}{8 \, x^{3}}"," ",0,"-3/8*(x^3 + x)^(1/3)*(x^2 + 1)/x^3","A",0
79,1,12,0,0.460790," ","integrate(1/x^4/(x^4-1)^(1/4),x, algorithm=""fricas"")","\frac{{\left(x^{4} - 1\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"1/3*(x^4 - 1)^(3/4)/x^3","A",0
80,1,12,0,0.475862," ","integrate((x^4-1)^(3/4)/x^8,x, algorithm=""fricas"")","\frac{{\left(x^{4} - 1\right)}^{\frac{7}{4}}}{7 \, x^{7}}"," ",0,"1/7*(x^4 - 1)^(7/4)/x^7","A",0
81,1,17,0,0.447184," ","integrate((x^4-1)/x^2/(x^3+x)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{x^{3} + x} {\left(x^{2} + 1\right)}}{3 \, x^{2}}"," ",0,"2/3*sqrt(x^3 + x)*(x^2 + 1)/x^2","A",0
82,1,12,0,0.431266," ","integrate(1/x^4/(x^4+1)^(1/4),x, algorithm=""fricas"")","-\frac{{\left(x^{4} + 1\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"-1/3*(x^4 + 1)^(3/4)/x^3","A",0
83,1,12,0,0.471723," ","integrate((x^4-3)*(x^4+1)^(1/3)/x^5,x, algorithm=""fricas"")","\frac{3 \, {\left(x^{4} + 1\right)}^{\frac{4}{3}}}{4 \, x^{4}}"," ",0,"3/4*(x^4 + 1)^(4/3)/x^4","A",0
84,1,12,0,0.442157," ","integrate((x^2-1)*(x^2+1)*(x^4+1)^(1/2)/x^4,x, algorithm=""fricas"")","\frac{{\left(x^{4} + 1\right)}^{\frac{3}{2}}}{3 \, x^{3}}"," ",0,"1/3*(x^4 + 1)^(3/2)/x^3","A",0
85,1,12,0,0.453238," ","integrate((x^4-3)*(x^4+1)^(2/3)/x^6,x, algorithm=""fricas"")","\frac{3 \, {\left(x^{4} + 1\right)}^{\frac{5}{3}}}{5 \, x^{5}}"," ",0,"3/5*(x^4 + 1)^(5/3)/x^5","A",0
86,1,12,0,0.446102," ","integrate((x^4+1)^(3/4)/x^8,x, algorithm=""fricas"")","-\frac{{\left(x^{4} + 1\right)}^{\frac{7}{4}}}{7 \, x^{7}}"," ",0,"-1/7*(x^4 + 1)^(7/4)/x^7","A",0
87,1,12,0,0.452853," ","integrate((x^4-1)^(2/3)*(x^4+3)/x^6,x, algorithm=""fricas"")","\frac{3 \, {\left(x^{4} - 1\right)}^{\frac{5}{3}}}{5 \, x^{5}}"," ",0,"3/5*(x^4 - 1)^(5/3)/x^5","A",0
88,1,12,0,0.442524," ","integrate((x^4+1)^(1/3)*(x^4+3)/x^9,x, algorithm=""fricas"")","-\frac{3 \, {\left(x^{4} + 1\right)}^{\frac{4}{3}}}{8 \, x^{8}}"," ",0,"-3/8*(x^4 + 1)^(4/3)/x^8","A",0
89,1,12,0,0.456977," ","integrate(1/x^2/(x^4+x)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{x^{4} + x}}{3 \, x^{2}}"," ",0,"-2/3*sqrt(x^4 + x)/x^2","A",0
90,1,17,0,0.449308," ","integrate((x^3+1)/x^6/(x^4+x)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(x^{4} + x\right)}^{\frac{3}{4}} {\left(x^{3} + 1\right)}}{21 \, x^{6}}"," ",0,"-4/21*(x^4 + x)^(3/4)*(x^3 + 1)/x^6","A",0
91,1,17,0,0.461398," ","integrate((x^3-2)*(x^4+x)^(1/3)/(x^3+1)^2,x, algorithm=""fricas"")","-\frac{3 \, {\left(x^{4} + x\right)}^{\frac{1}{3}} x}{2 \, {\left(x^{3} + 1\right)}}"," ",0,"-3/2*(x^4 + x)^(1/3)*x/(x^3 + 1)","A",0
92,1,14,0,0.442573," ","integrate((x^4+x^2)^(1/4)/x^2/(x^2+1),x, algorithm=""fricas"")","-\frac{2 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}}}{x}"," ",0,"-2*(x^4 + x^2)^(1/4)/x","A",0
93,1,12,0,0.427323," ","integrate((x^5-6)*(x^5-1)^(2/3)/x^11,x, algorithm=""fricas"")","-\frac{3 \, {\left(x^{5} - 1\right)}^{\frac{5}{3}}}{5 \, x^{10}}"," ",0,"-3/5*(x^5 - 1)^(5/3)/x^10","A",0
94,1,12,0,0.481588," ","integrate((x^5-4)*(x^5+1)^(3/4)/x^8,x, algorithm=""fricas"")","\frac{4 \, {\left(x^{5} + 1\right)}^{\frac{7}{4}}}{7 \, x^{7}}"," ",0,"4/7*(x^5 + 1)^(7/4)/x^7","A",0
95,1,12,0,0.476390," ","integrate((x^5-1)^(3/4)*(x^5+4)/x^8,x, algorithm=""fricas"")","\frac{4 \, {\left(x^{5} - 1\right)}^{\frac{7}{4}}}{7 \, x^{7}}"," ",0,"4/7*(x^5 - 1)^(7/4)/x^7","A",0
96,1,12,0,0.479665," ","integrate((x^5+1)^(2/3)*(x^5+6)/x^11,x, algorithm=""fricas"")","-\frac{3 \, {\left(x^{5} + 1\right)}^{\frac{5}{3}}}{5 \, x^{10}}"," ",0,"-3/5*(x^5 + 1)^(5/3)/x^10","A",0
97,1,17,0,0.453309," ","integrate((x^4-3)*(x^4+1)/x^6/(x^5+x)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{5} + x\right)}^{\frac{3}{4}} {\left(x^{4} + 1\right)}}{7 \, x^{6}}"," ",0,"4/7*(x^5 + x)^(3/4)*(x^4 + 1)/x^6","A",0
98,1,14,0,0.452310," ","integrate((x^2-1)*(x^5+x^3)^(1/4)/x^2/(x^2+1),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}}}{x}"," ",0,"4*(x^5 + x^3)^(1/4)/x","A",0
99,1,35,0,0.567233," ","integrate((3*a*x^5-2*b)/(a*x^5+b)^(1/2)/(a*x^5+x^2+b),x, algorithm=""fricas"")","\arctan\left(\frac{{\left(a x^{5} - x^{2} + b\right)} \sqrt{a x^{5} + b}}{2 \, {\left(a x^{6} + b x\right)}}\right)"," ",0,"arctan(1/2*(a*x^5 - x^2 + b)*sqrt(a*x^5 + b)/(a*x^6 + b*x))","B",0
100,1,16,0,0.458493," ","integrate(1/x^4/(x^6-1)^(1/2),x, algorithm=""fricas"")","\frac{x^{3} + \sqrt{x^{6} - 1}}{3 \, x^{3}}"," ",0,"1/3*(x^3 + sqrt(x^6 - 1))/x^3","A",0
101,1,12,0,0.454990," ","integrate((x^6-1)^(1/3)/x^9,x, algorithm=""fricas"")","\frac{{\left(x^{6} - 1\right)}^{\frac{4}{3}}}{8 \, x^{8}}"," ",0,"1/8*(x^6 - 1)^(4/3)/x^8","A",0
102,1,16,0,0.467154," ","integrate((x^6-1)^(1/2)/x^10,x, algorithm=""fricas"")","\frac{x^{9} + {\left(x^{6} - 1\right)}^{\frac{3}{2}}}{9 \, x^{9}}"," ",0,"1/9*(x^9 + (x^6 - 1)^(3/2))/x^9","A",0
103,1,16,0,0.442285," ","integrate(1/x^4/(x^6+1)^(1/2),x, algorithm=""fricas"")","-\frac{x^{3} + \sqrt{x^{6} + 1}}{3 \, x^{3}}"," ",0,"-1/3*(x^3 + sqrt(x^6 + 1))/x^3","A",0
104,1,12,0,0.474306," ","integrate(1/x^5/(x^6+1)^(1/3),x, algorithm=""fricas"")","-\frac{{\left(x^{6} + 1\right)}^{\frac{2}{3}}}{4 \, x^{4}}"," ",0,"-1/4*(x^6 + 1)^(2/3)/x^4","A",0
105,1,12,0,0.459697," ","integrate((x^6-2)/x^4/(x^6+1)^(1/4),x, algorithm=""fricas"")","\frac{2 \, {\left(x^{6} + 1\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"2/3*(x^6 + 1)^(3/4)/x^3","A",0
106,1,16,0,0.465220," ","integrate((x^6+1)^(1/2)/x^10,x, algorithm=""fricas"")","-\frac{x^{9} + {\left(x^{6} + 1\right)}^{\frac{3}{2}}}{9 \, x^{9}}"," ",0,"-1/9*(x^9 + (x^6 + 1)^(3/2))/x^9","A",0
107,1,12,0,0.477408," ","integrate((x^6-2)*(x^6+1)^(3/4)/x^8,x, algorithm=""fricas"")","\frac{2 \, {\left(x^{6} + 1\right)}^{\frac{7}{4}}}{7 \, x^{7}}"," ",0,"2/7*(x^6 + 1)^(7/4)/x^7","A",0
108,1,12,0,0.457203," ","integrate((x^6-1)^(1/3)*(x^6+1)/x^5,x, algorithm=""fricas"")","\frac{{\left(x^{6} - 1\right)}^{\frac{4}{3}}}{4 \, x^{4}}"," ",0,"1/4*(x^6 - 1)^(4/3)/x^4","A",0
109,1,12,0,0.453291," ","integrate((x^6+2)/x^4/(x^6-1)^(1/4),x, algorithm=""fricas"")","\frac{2 \, {\left(x^{6} - 1\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"2/3*(x^6 - 1)^(3/4)/x^3","A",0
110,1,12,0,0.479767," ","integrate((x^6-1)^(3/4)*(x^6+2)/x^8,x, algorithm=""fricas"")","\frac{2 \, {\left(x^{6} - 1\right)}^{\frac{7}{4}}}{7 \, x^{7}}"," ",0,"2/7*(x^6 - 1)^(7/4)/x^7","A",0
111,1,12,0,0.455190," ","integrate((2*x^5-3)/x^3/(x^6+x)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{6} + x\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"4/3*(x^6 + x)^(3/4)/x^3","A",0
112,1,22,0,0.461132," ","integrate((x^4+x)^(1/3)*(x^6-x^3-2)/x^6,x, algorithm=""fricas"")","\frac{3 \, {\left(x^{6} + 2 \, x^{3} + 1\right)} {\left(x^{4} + x\right)}^{\frac{1}{3}}}{7 \, x^{5}}"," ",0,"3/7*(x^6 + 2*x^3 + 1)*(x^4 + x)^(1/3)/x^5","A",0
113,1,36,0,0.496376," ","integrate(x*(x^6+2)/(x^6-1)^(1/2)/(x^6-x^4-1),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(\frac{x^{6} + x^{4} - 2 \, \sqrt{x^{6} - 1} x^{2} - 1}{x^{6} - x^{4} - 1}\right)"," ",0,"1/2*log((x^6 + x^4 - 2*sqrt(x^6 - 1)*x^2 - 1)/(x^6 - x^4 - 1))","B",0
114,1,12,0,0.456214," ","integrate((x^8-1)/x^4/(x^4-1)^(1/2),x, algorithm=""fricas"")","\frac{{\left(x^{4} - 1\right)}^{\frac{3}{2}}}{3 \, x^{3}}"," ",0,"1/3*(x^4 - 1)^(3/2)/x^3","A",0
115,1,12,0,0.474988," ","integrate((x^8-1)*(x^8+1)^(1/2)/x^7,x, algorithm=""fricas"")","\frac{{\left(x^{8} + 1\right)}^{\frac{3}{2}}}{6 \, x^{6}}"," ",0,"1/6*(x^8 + 1)^(3/2)/x^6","A",0
116,1,70,0,0.561462," ","integrate((2*x^2+x+2)/(-1+2*x)/(x^4+x)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(-2 \, x^{3} - 2 \, \sqrt{x^{4} + x} x - 1\right) + \frac{2}{3} \, \log\left(-\frac{10 \, x^{3} - 6 \, x^{2} - 6 \, \sqrt{x^{4} + x} {\left(x + 1\right)} + 12 \, x + 1}{8 \, x^{3} - 12 \, x^{2} + 6 \, x - 1}\right)"," ",0,"1/3*log(-2*x^3 - 2*sqrt(x^4 + x)*x - 1) + 2/3*log(-(10*x^3 - 6*x^2 - 6*sqrt(x^4 + x)*(x + 1) + 12*x + 1)/(8*x^3 - 12*x^2 + 6*x - 1))","B",0
117,1,15,0,0.497130," ","integrate((x^2-1)/(x^2+1)/(x^4+x^2+1)^(1/2),x, algorithm=""fricas"")","-\arctan\left(\frac{x}{\sqrt{x^{4} + x^{2} + 1}}\right)"," ",0,"-arctan(x/sqrt(x^4 + x^2 + 1))","A",0
118,1,34,0,0.483176," ","integrate((x^4-1)/(x^4+1)/(x^4+x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(\frac{x^{4} + 2 \, x^{2} - 2 \, \sqrt{x^{4} + x^{2} + 1} x + 1}{x^{4} + 1}\right)"," ",0,"1/2*log((x^4 + 2*x^2 - 2*sqrt(x^4 + x^2 + 1)*x + 1)/(x^4 + 1))","B",0
119,1,72,0,0.527795," ","integrate((2*x^4+2*x^2-1)/(2*x^2+1)/(x^6-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(x^{3} + \sqrt{x^{6} - 1}\right) + \frac{1}{6} \, \log\left(-\frac{10 \, x^{6} + 6 \, x^{4} + 12 \, x^{2} + 6 \, \sqrt{x^{6} - 1} {\left(x^{3} - x\right)} - 1}{8 \, x^{6} + 12 \, x^{4} + 6 \, x^{2} + 1}\right)"," ",0,"1/3*log(x^3 + sqrt(x^6 - 1)) + 1/6*log(-(10*x^6 + 6*x^4 + 12*x^2 + 6*sqrt(x^6 - 1)*(x^3 - x) - 1)/(8*x^6 + 12*x^4 + 6*x^2 + 1))","B",0
120,1,14,0,0.443355," ","integrate(x^3/(x^2-1)^(3/4),x, algorithm=""fricas"")","\frac{2}{5} \, {\left(x^{2} + 4\right)} {\left(x^{2} - 1\right)}^{\frac{1}{4}}"," ",0,"2/5*(x^2 + 4)*(x^2 - 1)^(1/4)","A",0
121,1,19,0,0.461087," ","integrate((3+x)/(-1+x)^2/(x^2-1)^(1/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(x^{2} - 1\right)}^{\frac{2}{3}}}{2 \, {\left(x^{2} - 2 \, x + 1\right)}}"," ",0,"-3/2*(x^2 - 1)^(2/3)/(x^2 - 2*x + 1)","A",0
122,1,14,0,0.476061," ","integrate(x^3/(x^2+1)^(2/3),x, algorithm=""fricas"")","\frac{3}{8} \, {\left(x^{2} + 1\right)}^{\frac{1}{3}} {\left(x^{2} - 3\right)}"," ",0,"3/8*(x^2 + 1)^(1/3)*(x^2 - 3)","A",0
123,1,14,0,0.452102," ","integrate(1/x^2/(x^3-x)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(x^{3} - x\right)}^{\frac{2}{3}}}{4 \, x^{2}}"," ",0,"3/4*(x^3 - x)^(2/3)/x^2","A",0
124,1,19,0,0.466325," ","integrate((x^3-x)^(1/3)/x^4,x, algorithm=""fricas"")","\frac{3 \, {\left(x^{3} - x\right)}^{\frac{1}{3}} {\left(x^{2} - 1\right)}}{8 \, x^{3}}"," ",0,"3/8*(x^3 - x)^(1/3)*(x^2 - 1)/x^3","A",0
125,1,16,0,0.468495," ","integrate((x^2-1)/(x^2+1)/(x^3+x)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{x^{3} + x}}{x^{2} + 1}"," ",0,"-2*sqrt(x^3 + x)/(x^2 + 1)","A",0
126,1,14,0,0.429732," ","integrate(1/x/(x^3+x^2)^(1/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{2 \, x^{2}}"," ",0,"-3/2*(x^3 + x^2)^(2/3)/x^2","A",0
127,1,14,0,0.467142," ","integrate((2+x)/x^2/(x^3+x^2)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(x^{3} + x^{2}\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"-4/3*(x^3 + x^2)^(3/4)/x^3","A",0
128,1,14,0,0.450267," ","integrate((a*x^3-2*b)*(a*x^3+b)^(1/2)/x^4,x, algorithm=""fricas"")","\frac{2 \, {\left(a x^{3} + b\right)}^{\frac{3}{2}}}{3 \, x^{3}}"," ",0,"2/3*(a*x^3 + b)^(3/2)/x^3","A",0
129,1,19,0,0.465249," ","integrate((x^2+x+1)/(-1+x)^2/(x^4-1)^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{x^{4} - 1}}{2 \, {\left(x^{2} - 2 \, x + 1\right)}}"," ",0,"-1/2*sqrt(x^4 - 1)/(x^2 - 2*x + 1)","A",0
130,1,19,0,0.451956," ","integrate((x^4-1)/x^2/(x^3-x)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{x^{3} - x} {\left(x^{2} - 1\right)}}{3 \, x^{2}}"," ",0,"2/3*sqrt(x^3 - x)*(x^2 - 1)/x^2","A",0
131,1,14,0,0.458848," ","integrate(1/x^2/(x^4-x)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{x^{4} - x}}{3 \, x^{2}}"," ",0,"2/3*sqrt(x^4 - x)/x^2","A",0
132,1,14,0,0.456903," ","integrate(1/x^3/(x^4-x)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{4} - x\right)}^{\frac{3}{4}}}{9 \, x^{3}}"," ",0,"4/9*(x^4 - x)^(3/4)/x^3","A",0
133,1,19,0,0.447395," ","integrate((x^3-1)/x^6/(x^4-x)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{4} - x\right)}^{\frac{3}{4}} {\left(x^{3} - 1\right)}}{21 \, x^{6}}"," ",0,"4/21*(x^4 - x)^(3/4)*(x^3 - 1)/x^6","A",0
134,1,19,0,0.456137," ","integrate((x^4-x)^(1/4)/x^5,x, algorithm=""fricas"")","\frac{4 \, {\left(x^{4} - x\right)}^{\frac{1}{4}} {\left(x^{3} - 1\right)}}{15 \, x^{4}}"," ",0,"4/15*(x^4 - x)^(1/4)*(x^3 - 1)/x^4","A",0
135,1,19,0,0.466327," ","integrate((x^3+2)*(x^4-x)^(1/3)/(x^3-1)^2,x, algorithm=""fricas"")","-\frac{3 \, {\left(x^{4} - x\right)}^{\frac{1}{3}} x}{2 \, {\left(x^{3} - 1\right)}}"," ",0,"-3/2*(x^4 - x)^(1/3)*x/(x^3 - 1)","A",0
136,1,19,0,0.478964," ","integrate((x^4-x)^(1/2)/x^6,x, algorithm=""fricas"")","\frac{2 \, \sqrt{x^{4} - x} {\left(x^{3} - 1\right)}}{9 \, x^{5}}"," ",0,"2/9*sqrt(x^4 - x)*(x^3 - 1)/x^5","A",0
137,1,20,0,0.489330," ","integrate(x/(x^4+x)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(-2 \, x^{3} - 2 \, \sqrt{x^{4} + x} x - 1\right)"," ",0,"1/3*log(-2*x^3 - 2*sqrt(x^4 + x)*x - 1)","A",0
138,1,16,0,0.439486," ","integrate((x^3-2)/(x^3+1)/(x^4+x)^(1/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(x^{4} + x\right)}^{\frac{2}{3}}}{x^{3} + 1}"," ",0,"-3*(x^4 + x)^(2/3)/(x^3 + 1)","A",0
139,1,14,0,0.454044," ","integrate((x^2-1)/x/(x^4+x^2)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}}}{2 \, x^{2}}"," ",0,"3/2*(x^4 + x^2)^(2/3)/x^2","A",0
140,1,14,0,0.467045," ","integrate(1/x^2/(x^4+x^2)^(1/4),x, algorithm=""fricas"")","-\frac{2 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"-2/3*(x^4 + x^2)^(3/4)/x^3","A",0
141,1,19,0,0.454536," ","integrate((x^4+x^2)^(1/4)/x^4,x, algorithm=""fricas"")","-\frac{2 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{2} + 1\right)}}{5 \, x^{3}}"," ",0,"-2/5*(x^4 + x^2)^(1/4)*(x^2 + 1)/x^3","A",0
142,1,19,0,0.469463," ","integrate((x^2-1)*(x^4+x^2)^(1/3)/x^3,x, algorithm=""fricas"")","\frac{3 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{2} + 1\right)}}{4 \, x^{2}}"," ",0,"3/4*(x^4 + x^2)^(1/3)*(x^2 + 1)/x^2","A",0
143,1,14,0,0.449685," ","integrate(1/x/(x^4+x^3)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(x^{4} + x^{3}\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"-4/3*(x^4 + x^3)^(3/4)/x^3","A",0
144,1,22,0,0.454576," ","integrate((1+x)*(x^4+x^3)^(1/4)/x^4,x, algorithm=""fricas"")","-\frac{4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{2} + 2 \, x + 1\right)}}{9 \, x^{3}}"," ",0,"-4/9*(x^4 + x^3)^(1/4)*(x^2 + 2*x + 1)/x^3","A",0
145,1,35,0,0.475006," ","integrate((2*x^4-x-2)/(x^4+x+1)/(x^4+x^2+x+1)^(1/2),x, algorithm=""fricas"")","\log\left(\frac{x^{4} + 2 \, x^{2} - 2 \, \sqrt{x^{4} + x^{2} + x + 1} x + x + 1}{x^{4} + x + 1}\right)"," ",0,"log((x^4 + 2*x^2 - 2*sqrt(x^4 + x^2 + x + 1)*x + x + 1)/(x^4 + x + 1))","B",0
146,1,14,0,0.459660," ","integrate((x^4+3)/x^3/(x^5-x)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{5} - x\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"4/3*(x^5 - x)^(3/4)/x^3","A",0
147,1,19,0,0.471779," ","integrate((x^4-1)*(x^4+3)/x^6/(x^5-x)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{5} - x\right)}^{\frac{3}{4}} {\left(x^{4} - 1\right)}}{7 \, x^{6}}"," ",0,"4/7*(x^5 - x)^(3/4)*(x^4 - 1)/x^6","A",0
148,1,16,0,0.465153," ","integrate((x^4-3)/(x^4+1)/(x^5+x)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(x^{5} + x\right)}^{\frac{3}{4}}}{x^{4} + 1}"," ",0,"-4*(x^5 + x)^(3/4)/(x^4 + 1)","A",0
149,1,19,0,0.451673," ","integrate((2*x^3-1)*(x^5+x^2)^(1/3)/x^3,x, algorithm=""fricas"")","\frac{3 \, {\left(x^{5} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)}}{4 \, x^{2}}"," ",0,"3/4*(x^5 + x^2)^(1/3)*(x^3 + 1)/x^2","A",0
150,1,14,0,0.439804," ","integrate((x^2-1)/x/(x^5+x^3)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"4/3*(x^5 + x^3)^(3/4)/x^3","A",0
151,1,24,0,0.437316," ","integrate((x^4-1)*(x^5+x^3)^(1/4)/x^4,x, algorithm=""fricas"")","\frac{4 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + 2 \, x^{2} + 1\right)}}{9 \, x^{3}}"," ",0,"4/9*(x^5 + x^3)^(1/4)*(x^4 + 2*x^2 + 1)/x^3","A",0
152,1,16,0,0.433919," ","integrate(x^2/(x^6-1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{3} \, \log\left(-x^{3} + \sqrt{x^{6} - 1}\right)"," ",0,"-1/3*log(-x^3 + sqrt(x^6 - 1))","A",0
153,1,16,0,0.461063," ","integrate(x^2/(x^6+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{3} \, \log\left(-x^{3} + \sqrt{x^{6} + 1}\right)"," ",0,"-1/3*log(-x^3 + sqrt(x^6 + 1))","A",0
154,1,19,0,0.456533," ","integrate((x^5-1)*(2*x^5+3)/x^6/(x^6-x)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{6} - x\right)}^{\frac{3}{4}} {\left(x^{5} - 1\right)}}{7 \, x^{6}}"," ",0,"4/7*(x^6 - x)^(3/4)*(x^5 - 1)/x^6","A",0
155,1,14,0,0.467906," ","integrate(1/x^3/(x^6+x^2)^(1/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(x^{6} + x^{2}\right)}^{\frac{2}{3}}}{8 \, x^{4}}"," ",0,"-3/8*(x^6 + x^2)^(2/3)/x^4","A",0
156,1,14,0,0.471095," ","integrate((x^4-1)/x^2/(x^6+x^2)^(1/4),x, algorithm=""fricas"")","\frac{2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"2/3*(x^6 + x^2)^(3/4)/x^3","A",0
157,1,19,0,0.468122," ","integrate((x^4-1)*(x^6+x^2)^(1/4)/x^4,x, algorithm=""fricas"")","\frac{2 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)}}{5 \, x^{3}}"," ",0,"2/5*(x^6 + x^2)^(1/4)*(x^4 + 1)/x^3","A",0
158,1,25,0,0.489344," ","integrate((1+(x^2+1)^(1/2))^(1/2)/(x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{\sqrt{x^{2} + 1} + 1} {\left(\sqrt{x^{2} + 1} - 1\right)}}{x}"," ",0,"2*sqrt(sqrt(x^2 + 1) + 1)*(sqrt(x^2 + 1) - 1)/x","A",0
159,1,17,0,0.458532," ","integrate((x^2-2*x-2)/(x^2+x+1)/(x^3-1)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{x^{3} - 1}}{x^{2} + x + 1}"," ",0,"-2*sqrt(x^3 - 1)/(x^2 + x + 1)","A",0
160,1,17,0,0.467209," ","integrate((a*x^2+b)/x/(a*x^3-b*x)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{a x^{3} - b x}}{x}"," ",0,"2*sqrt(a*x^3 - b*x)/x","A",0
161,1,17,0,0.497812," ","integrate((2*x^2-2*x-1)/(2*x^2+1)/(x^4+x)^(1/2),x, algorithm=""fricas"")","-\arctan\left(\frac{2 \, x - 1}{2 \, \sqrt{x^{4} + x}}\right)"," ",0,"-arctan(1/2*(2*x - 1)/sqrt(x^4 + x))","A",0
162,1,30,0,0.473128," ","integrate((x^4+1)/(x^4-1)/(x^4-x^2-1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \arctan\left(\frac{2 \, \sqrt{x^{4} - x^{2} - 1} x}{x^{4} - 2 \, x^{2} - 1}\right)"," ",0,"-1/2*arctan(2*sqrt(x^4 - x^2 - 1)*x/(x^4 - 2*x^2 - 1))","A",0
163,1,40,0,0.449843," ","integrate(x/(x^4-4*x^3+6*x^2-4*x+1)^(1/5),x, algorithm=""fricas"")","\frac{5 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}^{\frac{4}{5}} {\left(x + 5\right)}}{6 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}}"," ",0,"5/6*(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)^(4/5)*(x + 5)/(x^3 - 3*x^2 + 3*x - 1)","B",0
164,1,15,0,0.458520," ","integrate((x^6-2)/x^4/(x^6+x^4+1)^(1/4),x, algorithm=""fricas"")","\frac{2 \, {\left(x^{6} + x^{4} + 1\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"2/3*(x^6 + x^4 + 1)^(3/4)/x^3","A",0
165,1,15,0,0.444978," ","integrate((x^8+1)/x^4/(x^8+x^4-1)^(1/4),x, algorithm=""fricas"")","\frac{{\left(x^{8} + x^{4} - 1\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"1/3*(x^8 + x^4 - 1)^(3/4)/x^3","A",0
166,1,15,0,0.438159," ","integrate((x^8-1)/x^4/(x^8+x^4+1)^(1/4),x, algorithm=""fricas"")","\frac{{\left(x^{8} + x^{4} + 1\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"1/3*(x^8 + x^4 + 1)^(3/4)/x^3","A",0
167,1,18,0,0.437792," ","integrate((x^2+1)/(x^2-1)/(x^3-x)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{x^{3} - x}}{x^{2} - 1}"," ",0,"-2*sqrt(x^3 - x)/(x^2 - 1)","A",0
168,1,16,0,0.433769," ","integrate(1/(x^2+1)/(x^3+x)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(x^{3} + x\right)}^{\frac{2}{3}}}{2 \, {\left(x^{2} + 1\right)}}"," ",0,"3/2*(x^3 + x)^(2/3)/(x^2 + 1)","A",0
169,1,16,0,0.427659," ","integrate(1/x/(x^3-x^2)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{2 \, x^{2}}"," ",0,"3/2*(x^3 - x^2)^(2/3)/x^2","A",0
170,1,16,0,0.458853," ","integrate(x^2/(a*x^3-b)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{a x^{3} - b}}{3 \, a}"," ",0,"2/3*sqrt(a*x^3 - b)/a","A",0
171,1,16,0,0.467151," ","integrate(x^2*(a*x^3-b)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(a x^{3} - b\right)}^{\frac{3}{2}}}{9 \, a}"," ",0,"2/9*(a*x^3 - b)^(3/2)/a","A",0
172,1,16,0,0.456155," ","integrate((a*x^3-b)^(1/2)*(a*x^3+2*b)/x^4,x, algorithm=""fricas"")","\frac{2 \, {\left(a x^{3} - b\right)}^{\frac{3}{2}}}{3 \, x^{3}}"," ",0,"2/3*(a*x^3 - b)^(3/2)/x^3","A",0
173,1,16,0,0.454891," ","integrate(1/x^2/(x^4-x^2)^(1/4),x, algorithm=""fricas"")","\frac{2 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"2/3*(x^4 - x^2)^(3/4)/x^3","A",0
174,1,21,0,0.444132," ","integrate((x^4-x^2)^(1/4)/x^4,x, algorithm=""fricas"")","\frac{2 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} {\left(x^{2} - 1\right)}}{5 \, x^{3}}"," ",0,"2/5*(x^4 - x^2)^(1/4)*(x^2 - 1)/x^3","A",0
175,1,21,0,0.480571," ","integrate((x^2+1)*(x^4-x^2)^(1/3)/x^3,x, algorithm=""fricas"")","\frac{3 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{2} - 1\right)}}{4 \, x^{2}}"," ",0,"3/4*(x^4 - x^2)^(1/3)*(x^2 - 1)/x^2","A",0
176,1,16,0,0.425681," ","integrate(1/x/(x^4-x^3)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{4} - x^{3}\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"4/3*(x^4 - x^3)^(3/4)/x^3","A",0
177,1,24,0,0.435301," ","integrate((-1+x)*(x^4-x^3)^(1/4)/x^4,x, algorithm=""fricas"")","\frac{4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(x^{2} - 2 \, x + 1\right)}}{9 \, x^{3}}"," ",0,"4/9*(x^4 - x^3)^(1/4)*(x^2 - 2*x + 1)/x^3","A",0
178,1,19,0,0.450115," ","integrate((x^4-x^3)^(1/4)/x^3,x, algorithm=""fricas"")","\frac{4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(x - 1\right)}}{5 \, x^{2}}"," ",0,"4/5*(x^4 - x^3)^(1/4)*(x - 1)/x^2","A",0
179,1,16,0,0.447281," ","integrate(x*(2*x^2+1)*(2*x^4+2*x^2-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, {\left(2 \, x^{4} + 2 \, x^{2} - 1\right)}^{\frac{3}{2}}"," ",0,"1/6*(2*x^4 + 2*x^2 - 1)^(3/2)","A",0
180,1,21,0,0.457504," ","integrate((2*x^3+1)*(x^5-x^2)^(1/3)/x^3,x, algorithm=""fricas"")","\frac{3 \, {\left(x^{5} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} - 1\right)}}{4 \, x^{2}}"," ",0,"3/4*(x^5 - x^2)^(1/3)*(x^3 - 1)/x^2","A",0
181,1,21,0,0.473491," ","integrate((x^4-1)/x^2/(x^5-x^3)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{5} - x^{3}\right)}^{\frac{3}{4}} {\left(x^{2} - 1\right)}}{7 \, x^{4}}"," ",0,"4/7*(x^5 - x^3)^(3/4)*(x^2 - 1)/x^4","A",0
182,1,26,0,0.481342," ","integrate((x^4-1)*(x^5-x^3)^(1/4)/x^4,x, algorithm=""fricas"")","\frac{4 \, {\left(x^{5} - x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} - 2 \, x^{2} + 1\right)}}{9 \, x^{3}}"," ",0,"4/9*(x^5 - x^3)^(1/4)*(x^4 - 2*x^2 + 1)/x^3","A",0
183,1,15,0,0.461950," ","integrate((2*x^4-2*x^2-1)/x^2/(x^2+1)/(x^6+1)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{x^{6} + 1}}{x^{3} + x}"," ",0,"sqrt(x^6 + 1)/(x^3 + x)","A",0
184,1,16,0,0.465563," ","integrate(1/x^3/(x^6-x^2)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(x^{6} - x^{2}\right)}^{\frac{2}{3}}}{8 \, x^{4}}"," ",0,"3/8*(x^6 - x^2)^(2/3)/x^4","A",0
185,1,16,0,0.470198," ","integrate((x^4+1)/x^2/(x^6-x^2)^(1/4),x, algorithm=""fricas"")","\frac{2 \, {\left(x^{6} - x^{2}\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"2/3*(x^6 - x^2)^(3/4)/x^3","A",0
186,1,21,0,0.448707," ","integrate((x^4+1)*(x^6-x^2)^(1/4)/x^4,x, algorithm=""fricas"")","\frac{2 \, {\left(x^{6} - x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}{5 \, x^{3}}"," ",0,"2/5*(x^6 - x^2)^(1/4)*(x^4 - 1)/x^3","A",0
187,1,21,0,0.451524," ","integrate((x^8-1)/x^4/(x^6-x^2)^(1/4),x, algorithm=""fricas"")","\frac{2 \, {\left(x^{6} - x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 1\right)}}{7 \, x^{5}}"," ",0,"2/7*(x^6 - x^2)^(3/4)*(x^4 - 1)/x^5","A",0
188,1,18,0,0.469287," ","integrate((x^8+1)/(-x^8+1)^(1/4)/(x^8-1),x, algorithm=""fricas"")","\frac{{\left(-x^{8} + 1\right)}^{\frac{3}{4}} x}{x^{8} - 1}"," ",0,"(-x^8 + 1)^(3/4)*x/(x^8 - 1)","A",0
189,1,18,0,0.447837," ","integrate(1/(x^8-x^2)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, \arctan\left(\frac{\sqrt{x^{8} - x^{2}}}{x}\right)"," ",0,"1/3*arctan(sqrt(x^8 - x^2)/x)","A",0
190,1,55,0,1.773358," ","integrate((1+(x^2+1)^(1/2))^(1/2)/(x^2+1),x, algorithm=""fricas"")","-\frac{1}{2} \, \arctan\left(\frac{4 \, {\left(x^{4} - 12 \, x^{2} + {\left(5 \, x^{2} - 3\right)} \sqrt{x^{2} + 1} + 3\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{x^{5} - 46 \, x^{3} + 17 \, x}\right)"," ",0,"-1/2*arctan(4*(x^4 - 12*x^2 + (5*x^2 - 3)*sqrt(x^2 + 1) + 3)*sqrt(sqrt(x^2 + 1) + 1)/(x^5 - 46*x^3 + 17*x))","B",0
191,1,40,0,0.486229," ","integrate((-1+x)/(2+x)/(x^3-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, \arctan\left(\frac{{\left(x^{3} - 12 \, x^{2} - 6 \, x - 10\right)} \sqrt{x^{3} - 1}}{6 \, {\left(x^{4} - x^{3} - x + 1\right)}}\right)"," ",0,"1/3*arctan(1/6*(x^3 - 12*x^2 - 6*x - 10)*sqrt(x^3 - 1)/(x^4 - x^3 - x + 1))","B",0
192,1,25,0,0.484922," ","integrate((x^2-2*x-2)/(x^2+2)/(x^3-1)^(1/2),x, algorithm=""fricas"")","\log\left(\frac{x^{2} + 2 \, x - 2 \, \sqrt{x^{3} - 1}}{x^{2} + 2}\right)"," ",0,"log((x^2 + 2*x - 2*sqrt(x^3 - 1))/(x^2 + 2))","A",0
193,1,15,0,0.460783," ","integrate((x^2-2*x-2)/(x^2+2*x)/(x^3-1)^(1/2),x, algorithm=""fricas"")","\arctan\left(\frac{x^{2} + 2}{2 \, \sqrt{x^{3} - 1}}\right)"," ",0,"arctan(1/2*(x^2 + 2)/sqrt(x^3 - 1))","A",0
194,1,20,0,0.459195," ","integrate((2*x^2+2*x-1)/(-1+x)/x/(x^4-x)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{x^{4} - x}}{x^{2} - x}"," ",0,"-2*sqrt(x^4 - x)/(x^2 - x)","A",0
195,1,19,0,0.538452," ","integrate((2*x^2+2*x-1)/(2*x^2+1)/(x^4-x)^(1/2),x, algorithm=""fricas"")","-\arctan\left(\frac{2 \, x + 1}{2 \, \sqrt{x^{4} - x}}\right)"," ",0,"-arctan(1/2*(2*x + 1)/sqrt(x^4 - x))","A",0
196,1,25,0,0.483006," ","integrate((2*x^2-2*x-1)/(-1+2*x)/(x^4+x)^(1/2),x, algorithm=""fricas"")","\log\left(\frac{2 \, x^{2} + 2 \, \sqrt{x^{4} + x} + 1}{2 \, x - 1}\right)"," ",0,"log((2*x^2 + 2*sqrt(x^4 + x) + 1)/(2*x - 1))","A",0
197,1,19,0,0.455513," ","integrate((2*x^2-2*x-1)/(x^2-x+1)/(x^4+x)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{x^{4} + x}}{x^{2} - x + 1}"," ",0,"-2*sqrt(x^4 + x)/(x^2 - x + 1)","A",0
198,1,20,0,0.439279," ","integrate(1/(1+x)/(x^4+x^3)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{4} + x^{3}\right)}^{\frac{3}{4}}}{x^{3} + x^{2}}"," ",0,"4*(x^4 + x^3)^(3/4)/(x^3 + x^2)","A",0
199,1,34,0,0.503422," ","integrate((2*x^4+1)/(2*x^4-1)/(2*x^4-x^2-1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \arctan\left(\frac{2 \, \sqrt{2 \, x^{4} - x^{2} - 1} x}{2 \, x^{4} - 2 \, x^{2} - 1}\right)"," ",0,"-1/2*arctan(2*sqrt(2*x^4 - x^2 - 1)*x/(2*x^4 - 2*x^2 - 1))","A",0
200,1,47,0,0.480652," ","integrate((2*x^4-1)/(2*x^4+2*x^2+1)/(2*x^4+3*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(\frac{2 \, x^{4} + 4 \, x^{2} - 2 \, \sqrt{2 \, x^{4} + 3 \, x^{2} + 1} x + 1}{2 \, x^{4} + 2 \, x^{2} + 1}\right)"," ",0,"1/2*log((2*x^4 + 4*x^2 - 2*sqrt(2*x^4 + 3*x^2 + 1)*x + 1)/(2*x^4 + 2*x^2 + 1))","B",0
201,1,27,0,0.459266," ","integrate((-x^5+x^4-1)^(1/4)*(x^5-4)/x^6,x, algorithm=""fricas"")","\frac{4 \, {\left(x^{5} - x^{4} + 1\right)} {\left(-x^{5} + x^{4} - 1\right)}^{\frac{1}{4}}}{5 \, x^{5}}"," ",0,"4/5*(x^5 - x^4 + 1)*(-x^5 + x^4 - 1)^(1/4)/x^5","A",0
202,1,17,0,0.461496," ","integrate((x^8+1)*(x^8-2*x^4-1)^(1/2)/x^7,x, algorithm=""fricas"")","\frac{{\left(x^{8} - 2 \, x^{4} - 1\right)}^{\frac{3}{2}}}{6 \, x^{6}}"," ",0,"1/6*(x^8 - 2*x^4 - 1)^(3/2)/x^6","A",0
203,1,15,0,0.464082," ","integrate(x^2*(x^3-2)*(x^3+1)^(1/2)/(4*x^9+13*x^6+12*x^3+4),x, algorithm=""fricas"")","\frac{1}{3} \, \arctan\left(\frac{2 \, {\left(x^{3} + 1\right)}^{\frac{3}{2}}}{x^{3}}\right)"," ",0,"1/3*arctan(2*(x^3 + 1)^(3/2)/x^3)","A",0
204,-1,0,0,0.000000," ","integrate(1/(x^2-1)/(x^3-x)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
205,1,18,0,0.448006," ","integrate(1/(x^3-1)/(x^4-x)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(x^{4} - x\right)}^{\frac{3}{4}}}{3 \, {\left(x^{3} - 1\right)}}"," ",0,"-4/3*(x^4 - x)^(3/4)/(x^3 - 1)","A",0
206,1,38,0,0.496181," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/(a*x^2+b^2)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{b + \sqrt{a x^{2} + b^{2}}} {\left(b - \sqrt{a x^{2} + b^{2}}\right)}}{a x}"," ",0,"-2*sqrt(b + sqrt(a*x^2 + b^2))*(b - sqrt(a*x^2 + b^2))/(a*x)","B",0
207,1,33,0,0.460327," ","integrate(1/x/(x^2+1)^(1/4),x, algorithm=""fricas"")","\arctan\left({\left(x^{2} + 1\right)}^{\frac{1}{4}}\right) - \frac{1}{2} \, \log\left({\left(x^{2} + 1\right)}^{\frac{1}{4}} + 1\right) + \frac{1}{2} \, \log\left({\left(x^{2} + 1\right)}^{\frac{1}{4}} - 1\right)"," ",0,"arctan((x^2 + 1)^(1/4)) - 1/2*log((x^2 + 1)^(1/4) + 1) + 1/2*log((x^2 + 1)^(1/4) - 1)","A",0
208,1,17,0,0.449999," ","integrate((-5+2*x)/(x^2-4*x+4)^(1/4),x, algorithm=""fricas"")","\frac{2}{3} \, {\left(x^{2} - 4 \, x + 4\right)}^{\frac{1}{4}} {\left(2 \, x - 7\right)}"," ",0,"2/3*(x^2 - 4*x + 4)^(1/4)*(2*x - 7)","A",0
209,1,19,0,0.436811," ","integrate(x^5*(x^3+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{28} \, {\left(4 \, x^{6} + x^{3} - 3\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}}"," ",0,"1/28*(4*x^6 + x^3 - 3)*(x^3 + 1)^(1/3)","A",0
210,1,19,0,0.447834," ","integrate((3*x^2+1)*(x^3-x)^(1/3)/x^2,x, algorithm=""fricas"")","\frac{3 \, {\left(x^{3} - x\right)}^{\frac{1}{3}} {\left(x^{2} - 1\right)}}{2 \, x}"," ",0,"3/2*(x^3 - x)^(1/3)*(x^2 - 1)/x","A",0
211,1,22,0,0.431944," ","integrate(1/(-1+x)/(x^3-x^2)^(1/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2} - x}"," ",0,"-3*(x^3 - x^2)^(2/3)/(x^2 - x)","A",0
212,1,19,0,0.440726," ","integrate(1/x^2/(x^3+x^2)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}} {\left(3 \, x - 2\right)}}{10 \, x^{3}}"," ",0,"3/10*(x^3 + x^2)^(2/3)*(3*x - 2)/x^3","A",0
213,1,21,0,0.451002," ","integrate((2*x^2+3)*(2*x^3+x)^(1/2)/(2*x^2+1)^2,x, algorithm=""fricas"")","\frac{2 \, \sqrt{2 \, x^{3} + x} x}{2 \, x^{2} + 1}"," ",0,"2*sqrt(2*x^3 + x)*x/(2*x^2 + 1)","A",0
214,1,19,0,0.448336," ","integrate(1/x^6/(x^4-1)^(3/4),x, algorithm=""fricas"")","\frac{{\left(4 \, x^{4} + 1\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{5 \, x^{5}}"," ",0,"1/5*(4*x^4 + 1)*(x^4 - 1)^(1/4)/x^5","A",0
215,1,25,0,0.442783," ","integrate(1/x^4/(x^4+1)^(5/4),x, algorithm=""fricas"")","-\frac{{\left(4 \, x^{4} + 1\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}}}{3 \, {\left(x^{7} + x^{3}\right)}}"," ",0,"-1/3*(4*x^4 + 1)*(x^4 + 1)^(3/4)/(x^7 + x^3)","A",0
216,1,19,0,0.445715," ","integrate(1/x^6/(x^4+1)^(3/4),x, algorithm=""fricas"")","\frac{{\left(4 \, x^{4} - 1\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{5 \, x^{5}}"," ",0,"1/5*(4*x^4 - 1)*(x^4 + 1)^(1/4)/x^5","A",0
217,1,19,0,0.469309," ","integrate((x^4-1)/x^6/(x^4+1)^(3/4),x, algorithm=""fricas"")","-\frac{{\left(9 \, x^{4} - 1\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{5 \, x^{5}}"," ",0,"-1/5*(9*x^4 - 1)*(x^4 + 1)^(1/4)/x^5","A",0
218,1,42,0,0.494318," ","integrate((x^2+1)/(-x^2+1)/(x^4+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(\frac{x^{4} + 2 \, \sqrt{2} \sqrt{x^{4} + 1} x + 2 \, x^{2} + 1}{x^{4} - 2 \, x^{2} + 1}\right)"," ",0,"1/4*sqrt(2)*log((x^4 + 2*sqrt(2)*sqrt(x^4 + 1)*x + 2*x^2 + 1)/(x^4 - 2*x^2 + 1))","B",0
219,1,28,0,0.496900," ","integrate((2*x^2+2*x-1)/(1+2*x)/(x^4-x)^(1/2),x, algorithm=""fricas"")","\log\left(-\frac{2 \, x^{2} + 2 \, \sqrt{x^{4} - x} + 1}{2 \, x + 1}\right)"," ",0,"log(-(2*x^2 + 2*sqrt(x^4 - x) + 1)/(2*x + 1))","A",0
220,1,19,0,0.453187," ","integrate(1/x^5/(x^4+x)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{x^{4} + x} {\left(2 \, x^{3} - 1\right)}}{9 \, x^{5}}"," ",0,"2/9*sqrt(x^4 + x)*(2*x^3 - 1)/x^5","A",0
221,1,19,0,0.439473," ","integrate((x^3-1)/x^6/(x^4+x)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(x^{4} + x\right)}^{\frac{3}{4}} {\left(11 \, x^{3} - 3\right)}}{63 \, x^{6}}"," ",0,"-4/63*(x^4 + x)^(3/4)*(11*x^3 - 3)/x^6","A",0
222,1,19,0,0.468869," ","integrate((2*x^3+1)/x^6/(x^4+x)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(x^{4} + x\right)}^{\frac{3}{4}} {\left(10 \, x^{3} + 3\right)}}{63 \, x^{6}}"," ",0,"-4/63*(x^4 + x)^(3/4)*(10*x^3 + 3)/x^6","A",0
223,1,18,0,0.432829," ","integrate((x^2-1)/(x^2+1)/(x^4+x^2)^(1/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}}}{x^{3} + x}"," ",0,"-3*(x^4 + x^2)^(2/3)/(x^3 + x)","A",0
224,1,18,0,0.446017," ","integrate(1/(x^2+1)/(x^4+x^2)^(1/4),x, algorithm=""fricas"")","\frac{2 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{x^{3} + x}"," ",0,"2*(x^4 + x^2)^(3/4)/(x^3 + x)","A",0
225,1,24,0,0.449310," ","integrate(1/(-1+x)/(x^4-x^3)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(x^{4} - x^{3}\right)}^{\frac{3}{4}}}{x^{3} - x^{2}}"," ",0,"-4*(x^4 - x^3)^(3/4)/(x^3 - x^2)","A",0
226,1,26,0,0.451545," ","integrate(1/x/(x^4+x^3)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, x^{3} + \sqrt{x^{4} + x^{3}} {\left(2 \, x - 1\right)}\right)}}{3 \, x^{3}}"," ",0,"2/3*(2*x^3 + sqrt(x^4 + x^3)*(2*x - 1))/x^3","A",0
227,1,19,0,0.450300," ","integrate(1/x^2/(x^4+x^3)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{4} + x^{3}\right)}^{\frac{3}{4}} {\left(4 \, x - 3\right)}}{21 \, x^{4}}"," ",0,"4/21*(x^4 + x^3)^(3/4)*(4*x - 3)/x^4","A",0
228,1,21,0,0.478639," ","integrate((1+2*x)/(x^4+2*x^3+x^2+3)^(1/2),x, algorithm=""fricas"")","\log\left(x^{2} + x + \sqrt{x^{4} + 2 \, x^{3} + x^{2} + 3}\right)"," ",0,"log(x^2 + x + sqrt(x^4 + 2*x^3 + x^2 + 3))","A",0
229,1,19,0,0.459881," ","integrate((2*x^4-1)/x^8/(x^4-1)^(1/4),x, algorithm=""fricas"")","\frac{{\left(10 \, x^{4} - 3\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}}}{21 \, x^{7}}"," ",0,"1/21*(10*x^4 - 3)*(x^4 - 1)^(3/4)/x^7","A",0
230,1,25,0,0.441209," ","integrate((2*x^4+1)/x^4/(x^4+1)^(5/4),x, algorithm=""fricas"")","\frac{{\left(2 \, x^{4} - 1\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}}}{3 \, {\left(x^{7} + x^{3}\right)}}"," ",0,"1/3*(2*x^4 - 1)*(x^4 + 1)^(3/4)/(x^7 + x^3)","A",0
231,1,19,0,0.478783," ","integrate((4*x^3+1)*(2*x^4+2*x+1)/(x^4+x)^(1/2),x, algorithm=""fricas"")","\frac{2}{3} \, {\left(2 \, x^{4} + 2 \, x + 3\right)} \sqrt{x^{4} + x}"," ",0,"2/3*(2*x^4 + 2*x + 3)*sqrt(x^4 + x)","A",0
232,1,20,0,0.462171," ","integrate((x^2-1)/(x^2+1)/(x^5+x^3)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} + x^{2}}"," ",0,"-4*(x^5 + x^3)^(3/4)/(x^4 + x^2)","A",0
233,1,26,0,0.466195," ","integrate(1/x^10/(x^6-1)^(1/2),x, algorithm=""fricas"")","\frac{2 \, x^{9} + {\left(2 \, x^{6} + 1\right)} \sqrt{x^{6} - 1}}{9 \, x^{9}}"," ",0,"1/9*(2*x^9 + (2*x^6 + 1)*sqrt(x^6 - 1))/x^9","A",0
234,1,26,0,0.450472," ","integrate((x^6+1)/x^10/(x^6-1)^(1/2),x, algorithm=""fricas"")","\frac{5 \, x^{9} + {\left(5 \, x^{6} + 1\right)} \sqrt{x^{6} - 1}}{9 \, x^{9}}"," ",0,"1/9*(5*x^9 + (5*x^6 + 1)*sqrt(x^6 - 1))/x^9","A",0
235,1,18,0,0.454951," ","integrate((3*x^4-1)/(x^4+1)/(x^6+x^2)^(1/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(x^{6} + x^{2}\right)}^{\frac{2}{3}}}{x^{5} + x}"," ",0,"-3*(x^6 + x^2)^(2/3)/(x^5 + x)","A",0
236,1,18,0,0.457308," ","integrate((x^4-1)/(x^4+1)/(x^6+x^2)^(1/4),x, algorithm=""fricas"")","-\frac{2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} + x}"," ",0,"-2*(x^6 + x^2)^(3/4)/(x^5 + x)","A",0
237,1,21,0,0.435139," ","integrate(x^2*(2*x^2+3)*(2*x^6+x^2+1)/(x^2+1)^2/(x^6+x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{x^{6} + x^{2} + 1} x^{3}}{x^{2} + 1}"," ",0,"sqrt(x^6 + x^2 + 1)*x^3/(x^2 + 1)","A",0
238,1,58,0,0.455153," ","integrate(1/(x^3+x^2-5*x+3)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(\frac{2 \, x + \sqrt{x^{3} + x^{2} - 5 \, x + 3} - 2}{x - 1}\right) + \frac{1}{2} \, \log\left(-\frac{2 \, x - \sqrt{x^{3} + x^{2} - 5 \, x + 3} - 2}{x - 1}\right)"," ",0,"-1/2*log((2*x + sqrt(x^3 + x^2 - 5*x + 3) - 2)/(x - 1)) + 1/2*log(-(2*x - sqrt(x^3 + x^2 - 5*x + 3) - 2)/(x - 1))","B",0
239,1,18,0,0.479280," ","integrate((-1+x)/(1+x)/(x^3+x^2+x)^(1/2),x, algorithm=""fricas"")","\arctan\left(\frac{x^{2} + 1}{2 \, \sqrt{x^{3} + x^{2} + x}}\right)"," ",0,"arctan(1/2*(x^2 + 1)/sqrt(x^3 + x^2 + x))","A",0
240,1,29,0,0.451504," ","integrate((x^2-1)/(x^2+1)/(x^3+x^2+x)^(1/2),x, algorithm=""fricas"")","\log\left(\frac{x^{2} + 2 \, x - 2 \, \sqrt{x^{3} + x^{2} + x} + 1}{x^{2} + 1}\right)"," ",0,"log((x^2 + 2*x - 2*sqrt(x^3 + x^2 + x) + 1)/(x^2 + 1))","A",0
241,1,18,0,0.487344," ","integrate((x^2-1)/(x^2+1)/(x^4+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} x}{\sqrt{x^{4} + 1}}\right)"," ",0,"-1/2*sqrt(2)*arctan(sqrt(2)*x/sqrt(x^4 + 1))","A",0
242,1,42,0,0.504680," ","integrate((x^2+1)/(x^2-1)/(x^4+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(\frac{x^{4} - 2 \, \sqrt{2} \sqrt{x^{4} + 1} x + 2 \, x^{2} + 1}{x^{4} - 2 \, x^{2} + 1}\right)"," ",0,"1/4*sqrt(2)*log((x^4 - 2*sqrt(2)*sqrt(x^4 + 1)*x + 2*x^2 + 1)/(x^4 - 2*x^2 + 1))","B",0
243,1,136,0,0.529222," ","integrate((-3*x^5+2)/(x^5+1)^(1/2)/(x^5-a*x^2+1),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{x^{10} + 6 \, a x^{7} + a^{2} x^{4} + 2 \, x^{5} + 6 \, a x^{2} + 4 \, {\left(x^{6} + a x^{3} + x\right)} \sqrt{x^{5} + 1} \sqrt{a} + 1}{x^{10} - 2 \, a x^{7} + a^{2} x^{4} + 2 \, x^{5} - 2 \, a x^{2} + 1}\right)}{2 \, \sqrt{a}}, -\frac{\sqrt{-a} \arctan\left(\frac{{\left(x^{5} + a x^{2} + 1\right)} \sqrt{x^{5} + 1} \sqrt{-a}}{2 \, {\left(a x^{6} + a x\right)}}\right)}{a}\right]"," ",0,"[1/2*log((x^10 + 6*a*x^7 + a^2*x^4 + 2*x^5 + 6*a*x^2 + 4*(x^6 + a*x^3 + x)*sqrt(x^5 + 1)*sqrt(a) + 1)/(x^10 - 2*a*x^7 + a^2*x^4 + 2*x^5 - 2*a*x^2 + 1))/sqrt(a), -sqrt(-a)*arctan(1/2*(x^5 + a*x^2 + 1)*sqrt(x^5 + 1)*sqrt(-a)/(a*x^6 + a*x))/a]","B",0
244,1,138,0,0.528097," ","integrate((3*x^5+2)/(x^5-1)^(1/2)/(x^5-a*x^2-1),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{x^{10} + 6 \, a x^{7} + a^{2} x^{4} - 2 \, x^{5} - 6 \, a x^{2} - 4 \, {\left(x^{6} + a x^{3} - x\right)} \sqrt{x^{5} - 1} \sqrt{a} + 1}{x^{10} - 2 \, a x^{7} + a^{2} x^{4} - 2 \, x^{5} + 2 \, a x^{2} + 1}\right)}{2 \, \sqrt{a}}, \frac{\sqrt{-a} \arctan\left(\frac{{\left(x^{5} + a x^{2} - 1\right)} \sqrt{x^{5} - 1} \sqrt{-a}}{2 \, {\left(a x^{6} - a x\right)}}\right)}{a}\right]"," ",0,"[1/2*log((x^10 + 6*a*x^7 + a^2*x^4 - 2*x^5 - 6*a*x^2 - 4*(x^6 + a*x^3 - x)*sqrt(x^5 - 1)*sqrt(a) + 1)/(x^10 - 2*a*x^7 + a^2*x^4 - 2*x^5 + 2*a*x^2 + 1))/sqrt(a), sqrt(-a)*arctan(1/2*(x^5 + a*x^2 - 1)*sqrt(x^5 - 1)*sqrt(-a)/(a*x^6 - a*x))/a]","B",0
245,1,151,0,0.506677," ","integrate((3*x^5+2)/(x^5-1)^(1/2)/(a*x^5-x^2-a),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{a^{2} x^{10} + 6 \, a x^{7} - 2 \, a^{2} x^{5} + x^{4} - 6 \, a x^{2} - 4 \, {\left(a x^{6} + x^{3} - a x\right)} \sqrt{x^{5} - 1} \sqrt{a} + a^{2}}{a^{2} x^{10} - 2 \, a x^{7} - 2 \, a^{2} x^{5} + x^{4} + 2 \, a x^{2} + a^{2}}\right)}{2 \, \sqrt{a}}, \frac{\sqrt{-a} \arctan\left(\frac{{\left(a x^{5} + x^{2} - a\right)} \sqrt{x^{5} - 1} \sqrt{-a}}{2 \, {\left(a x^{6} - a x\right)}}\right)}{a}\right]"," ",0,"[1/2*log((a^2*x^10 + 6*a*x^7 - 2*a^2*x^5 + x^4 - 6*a*x^2 - 4*(a*x^6 + x^3 - a*x)*sqrt(x^5 - 1)*sqrt(a) + a^2)/(a^2*x^10 - 2*a*x^7 - 2*a^2*x^5 + x^4 + 2*a*x^2 + a^2))/sqrt(a), sqrt(-a)*arctan(1/2*(a*x^5 + x^2 - a)*sqrt(x^5 - 1)*sqrt(-a)/(a*x^6 - a*x))/a]","B",0
246,1,147,0,0.535205," ","integrate((3*x^5-2)/(x^5+1)^(1/2)/(a*x^5-x^2+a),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{a^{2} x^{10} + 6 \, a x^{7} + 2 \, a^{2} x^{5} + x^{4} + 6 \, a x^{2} - 4 \, {\left(a x^{6} + x^{3} + a x\right)} \sqrt{x^{5} + 1} \sqrt{a} + a^{2}}{a^{2} x^{10} - 2 \, a x^{7} + 2 \, a^{2} x^{5} + x^{4} - 2 \, a x^{2} + a^{2}}\right)}{2 \, \sqrt{a}}, \frac{\sqrt{-a} \arctan\left(\frac{{\left(a x^{5} + x^{2} + a\right)} \sqrt{x^{5} + 1} \sqrt{-a}}{2 \, {\left(a x^{6} + a x\right)}}\right)}{a}\right]"," ",0,"[1/2*log((a^2*x^10 + 6*a*x^7 + 2*a^2*x^5 + x^4 + 6*a*x^2 - 4*(a*x^6 + x^3 + a*x)*sqrt(x^5 + 1)*sqrt(a) + a^2)/(a^2*x^10 - 2*a*x^7 + 2*a^2*x^5 + x^4 - 2*a*x^2 + a^2))/sqrt(a), sqrt(-a)*arctan(1/2*(a*x^5 + x^2 + a)*sqrt(x^5 + 1)*sqrt(-a)/(a*x^6 + a*x))/a]","B",0
247,1,22,0,0.465709," ","integrate((2*x^4-2*x^2-1)/(x^4-x^2+1)/(x^6+1)^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{x^{6} + 1} x}{x^{4} - x^{2} + 1}"," ",0,"-sqrt(x^6 + 1)*x/(x^4 - x^2 + 1)","A",0
248,1,119,0,0.689239," ","integrate((4*x^5-1)/(x^5-a*x+1)/(x^6+x)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-\frac{x^{10} + 6 \, a x^{6} + 2 \, x^{5} + a^{2} x^{2} - 4 \, \sqrt{x^{6} + x} {\left(x^{5} + a x + 1\right)} \sqrt{a} + 6 \, a x + 1}{x^{10} - 2 \, a x^{6} + 2 \, x^{5} + a^{2} x^{2} - 2 \, a x + 1}\right)}{2 \, \sqrt{a}}, \frac{\sqrt{-a} \arctan\left(\frac{2 \, \sqrt{x^{6} + x} \sqrt{-a}}{x^{5} + a x + 1}\right)}{a}\right]"," ",0,"[1/2*log(-(x^10 + 6*a*x^6 + 2*x^5 + a^2*x^2 - 4*sqrt(x^6 + x)*(x^5 + a*x + 1)*sqrt(a) + 6*a*x + 1)/(x^10 - 2*a*x^6 + 2*x^5 + a^2*x^2 - 2*a*x + 1))/sqrt(a), sqrt(-a)*arctan(2*sqrt(x^6 + x)*sqrt(-a)/(x^5 + a*x + 1))/a]","A",0
249,1,129,0,0.637479," ","integrate((4*x^5-1)/(a*x^5+a-x)/(x^6+x)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-\frac{a^{2} x^{10} + 2 \, a^{2} x^{5} + 6 \, a x^{6} - 4 \, {\left(a x^{5} + a + x\right)} \sqrt{x^{6} + x} \sqrt{a} + a^{2} + 6 \, a x + x^{2}}{a^{2} x^{10} + 2 \, a^{2} x^{5} - 2 \, a x^{6} + a^{2} - 2 \, a x + x^{2}}\right)}{2 \, \sqrt{a}}, \frac{\sqrt{-a} \arctan\left(\frac{2 \, \sqrt{x^{6} + x} \sqrt{-a}}{a x^{5} + a + x}\right)}{a}\right]"," ",0,"[1/2*log(-(a^2*x^10 + 2*a^2*x^5 + 6*a*x^6 - 4*(a*x^5 + a + x)*sqrt(x^6 + x)*sqrt(a) + a^2 + 6*a*x + x^2)/(a^2*x^10 + 2*a^2*x^5 - 2*a*x^6 + a^2 - 2*a*x + x^2))/sqrt(a), sqrt(-a)*arctan(2*sqrt(x^6 + x)*sqrt(-a)/(a*x^5 + a + x))/a]","A",0
250,1,21,0,0.450965," ","integrate(x^3*(x^2-1)^(2/3),x, algorithm=""fricas"")","\frac{3}{80} \, {\left(5 \, x^{4} - 2 \, x^{2} - 3\right)} {\left(x^{2} - 1\right)}^{\frac{2}{3}}"," ",0,"3/80*(5*x^4 - 2*x^2 - 3)*(x^2 - 1)^(2/3)","A",0
251,1,21,0,0.442488," ","integrate(x^3*(x^2-1)^(3/4),x, algorithm=""fricas"")","\frac{2}{77} \, {\left(7 \, x^{4} - 3 \, x^{2} - 4\right)} {\left(x^{2} - 1\right)}^{\frac{3}{4}}"," ",0,"2/77*(7*x^4 - 3*x^2 - 4)*(x^2 - 1)^(3/4)","A",0
252,1,35,0,0.466076," ","integrate(1/x/(x^2+1)^(3/4),x, algorithm=""fricas"")","-\arctan\left({\left(x^{2} + 1\right)}^{\frac{1}{4}}\right) - \frac{1}{2} \, \log\left({\left(x^{2} + 1\right)}^{\frac{1}{4}} + 1\right) + \frac{1}{2} \, \log\left({\left(x^{2} + 1\right)}^{\frac{1}{4}} - 1\right)"," ",0,"-arctan((x^2 + 1)^(1/4)) - 1/2*log((x^2 + 1)^(1/4) + 1) + 1/2*log((x^2 + 1)^(1/4) - 1)","A",0
253,1,21,0,0.434968," ","integrate(x^3*(x^2+1)^(3/4),x, algorithm=""fricas"")","\frac{2}{77} \, {\left(7 \, x^{4} + 3 \, x^{2} - 4\right)} {\left(x^{2} + 1\right)}^{\frac{3}{4}}"," ",0,"2/77*(7*x^4 + 3*x^2 - 4)*(x^2 + 1)^(3/4)","A",0
254,1,21,0,0.441015," ","integrate(x^5*(x^3-1)^(1/3),x, algorithm=""fricas"")","\frac{1}{28} \, {\left(4 \, x^{6} - x^{3} - 3\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}"," ",0,"1/28*(4*x^6 - x^3 - 3)*(x^3 - 1)^(1/3)","A",0
255,1,21,0,0.453027," ","integrate(x^5*(x^3-1)^(3/4),x, algorithm=""fricas"")","\frac{4}{231} \, {\left(7 \, x^{6} - 3 \, x^{3} - 4\right)} {\left(x^{3} - 1\right)}^{\frac{3}{4}}"," ",0,"4/231*(7*x^6 - 3*x^3 - 4)*(x^3 - 1)^(3/4)","A",0
256,1,21,0,0.442903," ","integrate(x^8/(x^3+1)^(1/4),x, algorithm=""fricas"")","\frac{4}{693} \, {\left(21 \, x^{6} - 24 \, x^{3} + 32\right)} {\left(x^{3} + 1\right)}^{\frac{3}{4}}"," ",0,"4/693*(21*x^6 - 24*x^3 + 32)*(x^3 + 1)^(3/4)","A",0
257,1,21,0,0.445237," ","integrate(x^5*(x^3+1)^(2/3),x, algorithm=""fricas"")","\frac{1}{40} \, {\left(5 \, x^{6} + 2 \, x^{3} - 3\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}"," ",0,"1/40*(5*x^6 + 2*x^3 - 3)*(x^3 + 1)^(2/3)","A",0
258,1,21,0,0.467353," ","integrate(1/x^2/(x^3-x^2)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}} {\left(3 \, x + 2\right)}}{10 \, x^{3}}"," ",0,"3/10*(x^3 - x^2)^(2/3)*(3*x + 2)/x^3","A",0
259,1,21,0,0.438916," ","integrate(x^7*(x^4+1)^(2/3),x, algorithm=""fricas"")","\frac{3}{160} \, {\left(5 \, x^{8} + 2 \, x^{4} - 3\right)} {\left(x^{4} + 1\right)}^{\frac{2}{3}}"," ",0,"3/160*(5*x^8 + 2*x^4 - 3)*(x^4 + 1)^(2/3)","A",0
260,1,21,0,0.465025," ","integrate(1/x^5/(x^4-x)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{x^{4} - x} {\left(2 \, x^{3} + 1\right)}}{9 \, x^{5}}"," ",0,"2/9*sqrt(x^4 - x)*(2*x^3 + 1)/x^5","A",0
261,1,21,0,0.448656," ","integrate((x^3+1)/x^6/(x^4-x)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{4} - x\right)}^{\frac{3}{4}} {\left(11 \, x^{3} + 3\right)}}{63 \, x^{6}}"," ",0,"4/63*(x^4 - x)^(3/4)*(11*x^3 + 3)/x^6","A",0
262,1,22,0,0.437659," ","integrate((x^2+1)/(x^2-1)/(x^4-x^2)^(1/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}}}{x^{3} - x}"," ",0,"-3*(x^4 - x^2)^(2/3)/(x^3 - x)","A",0
263,1,22,0,0.458196," ","integrate(1/(x^2-1)/(x^4-x^2)^(1/4),x, algorithm=""fricas"")","-\frac{2 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{x^{3} - x}"," ",0,"-2*(x^4 - x^2)^(3/4)/(x^3 - x)","A",0
264,1,21,0,0.458515," ","integrate(1/x^4/(x^4+x^2)^(1/4),x, algorithm=""fricas"")","\frac{2 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}} {\left(4 \, x^{2} - 3\right)}}{21 \, x^{5}}"," ",0,"2/21*(x^4 + x^2)^(3/4)*(4*x^2 - 3)/x^5","A",0
265,1,23,0,0.470793," ","integrate((-1+2*x)/(x^4-2*x^3+x^2-3)^(1/2),x, algorithm=""fricas"")","\log\left(x^{2} - x + \sqrt{x^{4} - 2 \, x^{3} + x^{2} - 3}\right)"," ",0,"log(x^2 - x + sqrt(x^4 - 2*x^3 + x^2 - 3))","A",0
266,1,23,0,0.473231," ","integrate((-1+2*x)/(x^4-2*x^3+x^2+4)^(1/2),x, algorithm=""fricas"")","\log\left(x^{2} - x + \sqrt{x^{4} - 2 \, x^{3} + x^{2} + 4}\right)"," ",0,"log(x^2 - x + sqrt(x^4 - 2*x^3 + x^2 + 4))","A",0
267,1,23,0,0.465348," ","integrate((-1+2*x)/(x^4-2*x^3+x^2+13)^(1/2),x, algorithm=""fricas"")","\log\left(x^{2} - x + \sqrt{x^{4} - 2 \, x^{3} + x^{2} + 13}\right)"," ",0,"log(x^2 - x + sqrt(x^4 - 2*x^3 + x^2 + 13))","A",0
268,1,21,0,0.424405," ","integrate(1/x^2/(x^4-x^3)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{4} - x^{3}\right)}^{\frac{3}{4}} {\left(4 \, x + 3\right)}}{21 \, x^{4}}"," ",0,"4/21*(x^4 - x^3)^(3/4)*(4*x + 3)/x^4","A",0
269,1,19,0,0.459543," ","integrate((x^4-1)/x^8/(2*x^4-1)^(1/4),x, algorithm=""fricas"")","-\frac{{\left(2 \, x^{4} - 1\right)}^{\frac{3}{4}} {\left(x^{4} + 3\right)}}{21 \, x^{7}}"," ",0,"-1/21*(2*x^4 - 1)^(3/4)*(x^4 + 3)/x^7","A",0
270,1,24,0,0.451158," ","integrate((x^2+1)/(x^2-1)/(x^5-x^3)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(x^{5} - x^{3}\right)}^{\frac{3}{4}}}{x^{4} - x^{2}}"," ",0,"-4*(x^5 - x^3)^(3/4)/(x^4 - x^2)","A",0
271,1,22,0,0.457151," ","integrate((3*x^4+1)/(x^4-1)/(x^6-x^2)^(1/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(x^{6} - x^{2}\right)}^{\frac{2}{3}}}{x^{5} - x}"," ",0,"-3*(x^6 - x^2)^(2/3)/(x^5 - x)","A",0
272,1,22,0,0.449946," ","integrate((x^4+1)/(x^4-1)/(x^6-x^2)^(1/4),x, algorithm=""fricas"")","-\frac{2 \, {\left(x^{6} - x^{2}\right)}^{\frac{3}{4}}}{x^{5} - x}"," ",0,"-2*(x^6 - x^2)^(3/4)/(x^5 - x)","A",0
273,1,21,0,0.451544," ","integrate(1/x^7/(x^6+x^2)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(x^{6} + x^{2}\right)}^{\frac{2}{3}} {\left(3 \, x^{4} - 2\right)}}{40 \, x^{8}}"," ",0,"3/40*(x^6 + x^2)^(2/3)*(3*x^4 - 2)/x^8","A",0
274,1,22,0,0.446045," ","integrate((x^3-1)^(1/3)/x^8,x, algorithm=""fricas"")","\frac{{\left(3 \, x^{6} + x^{3} - 4\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{28 \, x^{7}}"," ",0,"1/28*(3*x^6 + x^3 - 4)*(x^3 - 1)^(1/3)/x^7","A",0
275,1,25,0,0.468536," ","integrate((a*x^2+b)/(a*x^2-b)/(a*x^3-b*x)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{a x^{3} - b x}}{a x^{2} - b}"," ",0,"-2*sqrt(a*x^3 - b*x)/(a*x^2 - b)","A",0
276,1,167,0,0.506825," ","integrate((a*x^3-2*b)/(a*x^3+b)^(1/2)/(a*x^3-c*x^2+b),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{a^{2} x^{6} + 6 \, a c x^{5} + c^{2} x^{4} + 2 \, a b x^{3} + 6 \, b c x^{2} + b^{2} - 4 \, {\left(a x^{4} + c x^{3} + b x\right)} \sqrt{a x^{3} + b} \sqrt{c}}{a^{2} x^{6} - 2 \, a c x^{5} + c^{2} x^{4} + 2 \, a b x^{3} - 2 \, b c x^{2} + b^{2}}\right)}{2 \, \sqrt{c}}, \frac{\sqrt{-c} \arctan\left(\frac{{\left(a x^{3} + c x^{2} + b\right)} \sqrt{a x^{3} + b} \sqrt{-c}}{2 \, {\left(a c x^{4} + b c x\right)}}\right)}{c}\right]"," ",0,"[1/2*log((a^2*x^6 + 6*a*c*x^5 + c^2*x^4 + 2*a*b*x^3 + 6*b*c*x^2 + b^2 - 4*(a*x^4 + c*x^3 + b*x)*sqrt(a*x^3 + b)*sqrt(c))/(a^2*x^6 - 2*a*c*x^5 + c^2*x^4 + 2*a*b*x^3 - 2*b*c*x^2 + b^2))/sqrt(c), sqrt(-c)*arctan(1/2*(a*x^3 + c*x^2 + b)*sqrt(a*x^3 + b)*sqrt(-c)/(a*c*x^4 + b*c*x))/c]","B",0
277,1,169,0,0.522380," ","integrate((a*x^3-2*b)/(a*x^3+b)^(1/2)/(a*x^3+c*x^2+b),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-c} \log\left(\frac{a^{2} x^{6} - 6 \, a c x^{5} + c^{2} x^{4} + 2 \, a b x^{3} - 6 \, b c x^{2} + b^{2} - 4 \, {\left(a x^{4} - c x^{3} + b x\right)} \sqrt{a x^{3} + b} \sqrt{-c}}{a^{2} x^{6} + 2 \, a c x^{5} + c^{2} x^{4} + 2 \, a b x^{3} + 2 \, b c x^{2} + b^{2}}\right)}{2 \, c}, \frac{\arctan\left(\frac{{\left(a x^{3} - c x^{2} + b\right)} \sqrt{a x^{3} + b} \sqrt{c}}{2 \, {\left(a c x^{4} + b c x\right)}}\right)}{\sqrt{c}}\right]"," ",0,"[-1/2*sqrt(-c)*log((a^2*x^6 - 6*a*c*x^5 + c^2*x^4 + 2*a*b*x^3 - 6*b*c*x^2 + b^2 - 4*(a*x^4 - c*x^3 + b*x)*sqrt(a*x^3 + b)*sqrt(-c))/(a^2*x^6 + 2*a*c*x^5 + c^2*x^4 + 2*a*b*x^3 + 2*b*c*x^2 + b^2))/c, arctan(1/2*(a*x^3 - c*x^2 + b)*sqrt(a*x^3 + b)*sqrt(c)/(a*c*x^4 + b*c*x))/sqrt(c)]","B",0
278,-2,0,0,0.000000," ","integrate((x^2+1)/(x^2-1)/(x^2+2)/(x^4-3)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
279,1,24,0,0.434609," ","integrate((x^4-4)*(x^4+1)^(3/4)/x^12,x, algorithm=""fricas"")","-\frac{{\left(27 \, x^{8} - x^{4} - 28\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}}}{77 \, x^{11}}"," ",0,"-1/77*(27*x^8 - x^4 - 28)*(x^4 + 1)^(3/4)/x^11","A",0
280,1,40,0,0.606810," ","integrate((x^4-1)^(1/2)*(x^4+1)/x^2/(x^4+x^2-1),x, algorithm=""fricas"")","\frac{x \arctan\left(\frac{2 \, \sqrt{x^{4} - 1} x}{x^{4} - x^{2} - 1}\right) + 2 \, \sqrt{x^{4} - 1}}{2 \, x}"," ",0,"1/2*(x*arctan(2*sqrt(x^4 - 1)*x/(x^4 - x^2 - 1)) + 2*sqrt(x^4 - 1))/x","A",0
281,1,22,0,0.459181," ","integrate((x^4-1)*(x^4+x^2+1)/x^4/(x^4+1)^(1/2),x, algorithm=""fricas"")","\frac{{\left(x^{4} + 3 \, x^{2} + 1\right)} \sqrt{x^{4} + 1}}{3 \, x^{3}}"," ",0,"1/3*(x^4 + 3*x^2 + 1)*sqrt(x^4 + 1)/x^3","A",0
282,1,22,0,0.470879," ","integrate((x^3-4)*(x^4+x^3-1)/x^6/(x^3-1)^(3/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(5 \, x^{4} + x^{3} - 1\right)} {\left(x^{3} - 1\right)}^{\frac{1}{4}}}{5 \, x^{5}}"," ",0,"-4/5*(5*x^4 + x^3 - 1)*(x^3 - 1)^(1/4)/x^5","A",0
283,1,132,0,0.565054," ","integrate((3*x^4+1)/(x^4-a*x-1)/(x^5-x)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{x^{8} + 6 \, a x^{5} + a^{2} x^{2} - 2 \, x^{4} - 4 \, \sqrt{x^{5} - x} {\left(x^{4} + a x - 1\right)} \sqrt{a} - 6 \, a x + 1}{x^{8} - 2 \, a x^{5} + a^{2} x^{2} - 2 \, x^{4} + 2 \, a x + 1}\right)}{2 \, \sqrt{a}}, \frac{\sqrt{-a} \arctan\left(\frac{\sqrt{x^{5} - x} {\left(x^{4} + a x - 1\right)} \sqrt{-a}}{2 \, {\left(a x^{5} - a x\right)}}\right)}{a}\right]"," ",0,"[1/2*log((x^8 + 6*a*x^5 + a^2*x^2 - 2*x^4 - 4*sqrt(x^5 - x)*(x^4 + a*x - 1)*sqrt(a) - 6*a*x + 1)/(x^8 - 2*a*x^5 + a^2*x^2 - 2*x^4 + 2*a*x + 1))/sqrt(a), sqrt(-a)*arctan(1/2*sqrt(x^5 - x)*(x^4 + a*x - 1)*sqrt(-a)/(a*x^5 - a*x))/a]","B",0
284,1,146,0,0.523814," ","integrate((3*x^4+1)/(a*x^4-a-x)/(x^5-x)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{a^{2} x^{8} - 2 \, a^{2} x^{4} + 6 \, a x^{5} - 4 \, {\left(a x^{4} - a + x\right)} \sqrt{x^{5} - x} \sqrt{a} + a^{2} - 6 \, a x + x^{2}}{a^{2} x^{8} - 2 \, a^{2} x^{4} - 2 \, a x^{5} + a^{2} + 2 \, a x + x^{2}}\right)}{2 \, \sqrt{a}}, \frac{\sqrt{-a} \arctan\left(\frac{{\left(a x^{4} - a + x\right)} \sqrt{x^{5} - x} \sqrt{-a}}{2 \, {\left(a x^{5} - a x\right)}}\right)}{a}\right]"," ",0,"[1/2*log((a^2*x^8 - 2*a^2*x^4 + 6*a*x^5 - 4*(a*x^4 - a + x)*sqrt(x^5 - x)*sqrt(a) + a^2 - 6*a*x + x^2)/(a^2*x^8 - 2*a^2*x^4 - 2*a*x^5 + a^2 + 2*a*x + x^2))/sqrt(a), sqrt(-a)*arctan(1/2*(a*x^4 - a + x)*sqrt(x^5 - x)*sqrt(-a)/(a*x^5 - a*x))/a]","B",0
285,1,22,0,0.461990," ","integrate((x^5+4)*(x^5+x^4-1)/x^6/(x^5-1)^(3/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{5} + 5 \, x^{4} - 1\right)} {\left(x^{5} - 1\right)}^{\frac{1}{4}}}{5 \, x^{5}}"," ",0,"4/5*(x^5 + 5*x^4 - 1)*(x^5 - 1)^(1/4)/x^5","A",0
286,1,22,0,0.467895," ","integrate((x^5-4)*(x^5+x^4+1)/x^6/(x^5+1)^(3/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{5} + 5 \, x^{4} + 1\right)} {\left(x^{5} + 1\right)}^{\frac{1}{4}}}{5 \, x^{5}}"," ",0,"4/5*(x^5 + 5*x^4 + 1)*(x^5 + 1)^(1/4)/x^5","A",0
287,1,29,0,0.465147," ","integrate((x^6-1)^(1/2)/x^16,x, algorithm=""fricas"")","\frac{2 \, x^{15} + {\left(2 \, x^{12} + x^{6} - 3\right)} \sqrt{x^{6} - 1}}{45 \, x^{15}}"," ",0,"1/45*(2*x^15 + (2*x^12 + x^6 - 3)*sqrt(x^6 - 1))/x^15","A",0
288,1,22,0,0.531878," ","integrate((2*x^4-2*x^2-1)/(2*x^4+1)/(x^6+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \arctan\left(\frac{2 \, \sqrt{x^{6} + 1} x}{2 \, x^{2} - 1}\right)"," ",0,"1/2*arctan(2*sqrt(x^6 + 1)*x/(2*x^2 - 1))","A",0
289,1,123,0,0.663674," ","integrate((4*x^5+1)/(x^5-a*x-1)/(x^6-x)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-\frac{x^{10} + 6 \, a x^{6} - 2 \, x^{5} + a^{2} x^{2} - 4 \, \sqrt{x^{6} - x} {\left(x^{5} + a x - 1\right)} \sqrt{a} - 6 \, a x + 1}{x^{10} - 2 \, a x^{6} - 2 \, x^{5} + a^{2} x^{2} + 2 \, a x + 1}\right)}{2 \, \sqrt{a}}, \frac{\sqrt{-a} \arctan\left(\frac{2 \, \sqrt{x^{6} - x} \sqrt{-a}}{x^{5} + a x - 1}\right)}{a}\right]"," ",0,"[1/2*log(-(x^10 + 6*a*x^6 - 2*x^5 + a^2*x^2 - 4*sqrt(x^6 - x)*(x^5 + a*x - 1)*sqrt(a) - 6*a*x + 1)/(x^10 - 2*a*x^6 - 2*x^5 + a^2*x^2 + 2*a*x + 1))/sqrt(a), sqrt(-a)*arctan(2*sqrt(x^6 - x)*sqrt(-a)/(x^5 + a*x - 1))/a]","A",0
290,1,137,0,0.671141," ","integrate((4*x^5+1)/(a*x^5-a-x)/(x^6-x)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-\frac{a^{2} x^{10} - 2 \, a^{2} x^{5} + 6 \, a x^{6} - 4 \, {\left(a x^{5} - a + x\right)} \sqrt{x^{6} - x} \sqrt{a} + a^{2} - 6 \, a x + x^{2}}{a^{2} x^{10} - 2 \, a^{2} x^{5} - 2 \, a x^{6} + a^{2} + 2 \, a x + x^{2}}\right)}{2 \, \sqrt{a}}, \frac{\sqrt{-a} \arctan\left(\frac{2 \, \sqrt{x^{6} - x} \sqrt{-a}}{a x^{5} - a + x}\right)}{a}\right]"," ",0,"[1/2*log(-(a^2*x^10 - 2*a^2*x^5 + 6*a*x^6 - 4*(a*x^5 - a + x)*sqrt(x^6 - x)*sqrt(a) + a^2 - 6*a*x + x^2)/(a^2*x^10 - 2*a^2*x^5 - 2*a*x^6 + a^2 + 2*a*x + x^2))/sqrt(a), sqrt(-a)*arctan(2*sqrt(x^6 - x)*sqrt(-a)/(a*x^5 - a + x))/a]","A",0
291,1,22,0,0.475959," ","integrate((x^6+2)*(x^6-x^4-1)/x^6/(x^6-1)^(3/4),x, algorithm=""fricas"")","\frac{2 \, {\left(x^{6} - 5 \, x^{4} - 1\right)} {\left(x^{6} - 1\right)}^{\frac{1}{4}}}{5 \, x^{5}}"," ",0,"2/5*(x^6 - 5*x^4 - 1)*(x^6 - 1)^(1/4)/x^5","A",0
292,1,22,0,0.438642," ","integrate((x^6-2)*(x^6-x^4+1)/x^6/(x^6+1)^(3/4),x, algorithm=""fricas"")","\frac{2 \, {\left(x^{6} - 5 \, x^{4} + 1\right)} {\left(x^{6} + 1\right)}^{\frac{1}{4}}}{5 \, x^{5}}"," ",0,"2/5*(x^6 - 5*x^4 + 1)*(x^6 + 1)^(1/4)/x^5","A",0
293,1,40,0,0.835879," ","integrate((x^6-1)^(1/2)*(2*x^6+1)/x^2/(x^6+x^2-1),x, algorithm=""fricas"")","\frac{x \arctan\left(\frac{2 \, \sqrt{x^{6} - 1} x}{x^{6} - x^{2} - 1}\right) + 2 \, \sqrt{x^{6} - 1}}{2 \, x}"," ",0,"1/2*(x*arctan(2*sqrt(x^6 - 1)*x/(x^6 - x^2 - 1)) + 2*sqrt(x^6 - 1))/x","A",0
294,1,62,0,0.462180," ","integrate((-2*x^7-x^5+x^3-1)^(2/3)*(2*x^7+x^5-x^3+1)*(8*x^7+2*x^5-3)/x^9,x, algorithm=""fricas"")","\frac{3 \, {\left(4 \, x^{14} + 4 \, x^{12} - 3 \, x^{10} - 2 \, x^{8} + 4 \, x^{7} + x^{6} + 2 \, x^{5} - 2 \, x^{3} + 1\right)} {\left(-2 \, x^{7} - x^{5} + x^{3} - 1\right)}^{\frac{2}{3}}}{8 \, x^{8}}"," ",0,"3/8*(4*x^14 + 4*x^12 - 3*x^10 - 2*x^8 + 4*x^7 + x^6 + 2*x^5 - 2*x^3 + 1)*(-2*x^7 - x^5 + x^3 - 1)^(2/3)/x^8","B",0
295,1,144,0,1.129356," ","integrate(x^4*(4*x^5+9)/(x^6+x)^(1/2)/(x^9-a*x^5-a),x, algorithm=""fricas"")","\left[\frac{\log\left(-\frac{x^{18} + 6 \, a x^{14} + a^{2} x^{10} + 6 \, a x^{9} + 2 \, a^{2} x^{5} - 4 \, {\left(x^{13} + a x^{9} + a x^{4}\right)} \sqrt{x^{6} + x} \sqrt{a} + a^{2}}{x^{18} - 2 \, a x^{14} + a^{2} x^{10} - 2 \, a x^{9} + 2 \, a^{2} x^{5} + a^{2}}\right)}{2 \, \sqrt{a}}, \frac{\sqrt{-a} \arctan\left(\frac{2 \, \sqrt{x^{6} + x} \sqrt{-a} x^{4}}{x^{9} + a x^{5} + a}\right)}{a}\right]"," ",0,"[1/2*log(-(x^18 + 6*a*x^14 + a^2*x^10 + 6*a*x^9 + 2*a^2*x^5 - 4*(x^13 + a*x^9 + a*x^4)*sqrt(x^6 + x)*sqrt(a) + a^2)/(x^18 - 2*a*x^14 + a^2*x^10 - 2*a*x^9 + 2*a^2*x^5 + a^2))/sqrt(a), sqrt(-a)*arctan(2*sqrt(x^6 + x)*sqrt(-a)*x^4/(x^9 + a*x^5 + a))/a]","A",0
296,1,139,0,0.672859," ","integrate(x^4*(5*x^4+9)/(x^5+x)^(1/2)/(a*x^9-x^4-1),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{a^{2} x^{18} + 6 \, a x^{13} + 6 \, a x^{9} + x^{8} + 2 \, x^{4} - 4 \, {\left(a x^{13} + x^{8} + x^{4}\right)} \sqrt{x^{5} + x} \sqrt{a} + 1}{a^{2} x^{18} - 2 \, a x^{13} - 2 \, a x^{9} + x^{8} + 2 \, x^{4} + 1}\right)}{2 \, \sqrt{a}}, \frac{\sqrt{-a} \arctan\left(\frac{{\left(a x^{9} + x^{4} + 1\right)} \sqrt{x^{5} + x} \sqrt{-a}}{2 \, {\left(a x^{9} + a x^{5}\right)}}\right)}{a}\right]"," ",0,"[1/2*log((a^2*x^18 + 6*a*x^13 + 6*a*x^9 + x^8 + 2*x^4 - 4*(a*x^13 + x^8 + x^4)*sqrt(x^5 + x)*sqrt(a) + 1)/(a^2*x^18 - 2*a*x^13 - 2*a*x^9 + x^8 + 2*x^4 + 1))/sqrt(a), sqrt(-a)*arctan(1/2*(a*x^9 + x^4 + 1)*sqrt(x^5 + x)*sqrt(-a)/(a*x^9 + a*x^5))/a]","B",0
297,1,132,0,1.128564," ","integrate(x^4*(4*x^5+9)/(x^6+x)^(1/2)/(a*x^9-x^5-1),x, algorithm=""fricas"")","\left[\frac{\log\left(-\frac{a^{2} x^{18} + 6 \, a x^{14} + 6 \, a x^{9} + x^{10} + 2 \, x^{5} - 4 \, {\left(a x^{13} + x^{9} + x^{4}\right)} \sqrt{x^{6} + x} \sqrt{a} + 1}{a^{2} x^{18} - 2 \, a x^{14} - 2 \, a x^{9} + x^{10} + 2 \, x^{5} + 1}\right)}{2 \, \sqrt{a}}, \frac{\sqrt{-a} \arctan\left(\frac{2 \, \sqrt{x^{6} + x} \sqrt{-a} x^{4}}{a x^{9} + x^{5} + 1}\right)}{a}\right]"," ",0,"[1/2*log(-(a^2*x^18 + 6*a*x^14 + 6*a*x^9 + x^10 + 2*x^5 - 4*(a*x^13 + x^9 + x^4)*sqrt(x^6 + x)*sqrt(a) + 1)/(a^2*x^18 - 2*a*x^14 - 2*a*x^9 + x^10 + 2*x^5 + 1))/sqrt(a), sqrt(-a)*arctan(2*sqrt(x^6 + x)*sqrt(-a)*x^4/(a*x^9 + x^5 + 1))/a]","A",0
298,1,23,0,0.454777," ","integrate(x^5*(-2*x^3+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{45} \, {\left(6 \, x^{6} - x^{3} - 1\right)} \sqrt{-2 \, x^{3} + 1}"," ",0,"1/45*(6*x^6 - x^3 - 1)*sqrt(-2*x^3 + 1)","A",0
299,1,97,0,0.487546," ","integrate((2+x)/(-1+x)/(x^3+3*x-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \log\left(\frac{x^{6} + 18 \, x^{5} + 15 \, x^{4} + 52 \, x^{3} - 4 \, \sqrt{3} {\left(x^{4} + 3 \, x^{3} + 3 \, x^{2} - x\right)} \sqrt{x^{3} + 3 \, x - 1} - 9 \, x^{2} - 6 \, x + 1}{x^{6} - 6 \, x^{5} + 15 \, x^{4} - 20 \, x^{3} + 15 \, x^{2} - 6 \, x + 1}\right)"," ",0,"1/6*sqrt(3)*log((x^6 + 18*x^5 + 15*x^4 + 52*x^3 - 4*sqrt(3)*(x^4 + 3*x^3 + 3*x^2 - x)*sqrt(x^3 + 3*x - 1) - 9*x^2 - 6*x + 1)/(x^6 - 6*x^5 + 15*x^4 - 20*x^3 + 15*x^2 - 6*x + 1))","B",0
300,1,51,0,0.509083," ","integrate((-1+2*x)/(1+x)/(x^3-x^2-x)^(1/2),x, algorithm=""fricas"")","\arctan\left(\frac{\sqrt{x^{3} - x^{2} - x} {\left(x^{3} - 5 \, x^{2} - 5 \, x - 1\right)}}{2 \, {\left(2 \, x^{4} - x^{3} - 3 \, x^{2} - x\right)}}\right)"," ",0,"arctan(1/2*sqrt(x^3 - x^2 - x)*(x^3 - 5*x^2 - 5*x - 1)/(2*x^4 - x^3 - 3*x^2 - x))","B",0
301,1,23,0,0.458750," ","integrate(x^5/(a*x^3+b)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{a x^{3} + b} {\left(a x^{3} - 2 \, b\right)}}{9 \, a^{2}}"," ",0,"2/9*sqrt(a*x^3 + b)*(a*x^3 - 2*b)/a^2","A",0
302,1,23,0,0.457489," ","integrate(1/x^4/(x^4-x^2)^(1/4),x, algorithm=""fricas"")","\frac{2 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}} {\left(4 \, x^{2} + 3\right)}}{21 \, x^{5}}"," ",0,"2/21*(x^4 - x^2)^(3/4)*(4*x^2 + 3)/x^5","A",0
303,1,63,0,0.496559," ","integrate(1/x/(a*x^4+b)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{a x^{4} - 2 \, \sqrt{a x^{4} + b} \sqrt{b} + 2 \, b}{x^{4}}\right)}{4 \, \sqrt{b}}, \frac{\sqrt{-b} \arctan\left(\frac{\sqrt{a x^{4} + b} \sqrt{-b}}{b}\right)}{2 \, b}\right]"," ",0,"[1/4*log((a*x^4 - 2*sqrt(a*x^4 + b)*sqrt(b) + 2*b)/x^4)/sqrt(b), 1/2*sqrt(-b)*arctan(sqrt(a*x^4 + b)*sqrt(-b)/b)/b]","A",0
304,1,23,0,0.481948," ","integrate(1/x^7/(x^6-x^2)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(x^{6} - x^{2}\right)}^{\frac{2}{3}} {\left(3 \, x^{4} + 2\right)}}{40 \, x^{8}}"," ",0,"3/40*(x^6 - x^2)^(2/3)*(3*x^4 + 2)/x^8","A",0
305,1,20,0,0.466892," ","integrate((x^3-1)^(1/2)/x,x, algorithm=""fricas"")","\frac{2}{3} \, \sqrt{x^{3} - 1} - \frac{2}{3} \, \arctan\left(\sqrt{x^{3} - 1}\right)"," ",0,"2/3*sqrt(x^3 - 1) - 2/3*arctan(sqrt(x^3 - 1))","A",0
306,1,24,0,0.450409," ","integrate((x^3-1)*(x^3+1)^(1/3)/x^8,x, algorithm=""fricas"")","-\frac{{\left(5 \, x^{6} + 3 \, x^{3} - 2\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{14 \, x^{7}}"," ",0,"-1/14*(5*x^6 + 3*x^3 - 2)*(x^3 + 1)^(1/3)/x^7","A",0
307,1,34,0,0.431540," ","integrate((x^3+1)^(1/2)/x,x, algorithm=""fricas"")","\frac{2}{3} \, \sqrt{x^{3} + 1} - \frac{1}{3} \, \log\left(\sqrt{x^{3} + 1} + 1\right) + \frac{1}{3} \, \log\left(\sqrt{x^{3} + 1} - 1\right)"," ",0,"2/3*sqrt(x^3 + 1) - 1/3*log(sqrt(x^3 + 1) + 1) + 1/3*log(sqrt(x^3 + 1) - 1)","A",0
308,1,24,0,0.465066," ","integrate((x^3-1)^(1/3)*(x^3+1)/x^8,x, algorithm=""fricas"")","\frac{{\left(5 \, x^{6} - 3 \, x^{3} - 2\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{14 \, x^{7}}"," ",0,"1/14*(5*x^6 - 3*x^3 - 2)*(x^3 - 1)^(1/3)/x^7","A",0
309,1,24,0,0.465039," ","integrate((x^3-1)^(2/3)*(x^3+2)/x^9,x, algorithm=""fricas"")","\frac{{\left(7 \, x^{6} - 2 \, x^{3} - 5\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{20 \, x^{8}}"," ",0,"1/20*(7*x^6 - 2*x^3 - 5)*(x^3 - 1)^(2/3)/x^8","A",0
310,1,22,0,0.426851," ","integrate((x^3+1)^(2/3)*(x^3+2)/x^9,x, algorithm=""fricas"")","-\frac{{\left(x^{6} + 6 \, x^{3} + 5\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{20 \, x^{8}}"," ",0,"-1/20*(x^6 + 6*x^3 + 5)*(x^3 + 1)^(2/3)/x^8","A",0
311,1,24,0,0.443004," ","integrate(1/x^6/(x^3+x)^(1/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(9 \, x^{4} - 6 \, x^{2} + 5\right)} {\left(x^{3} + x\right)}^{\frac{2}{3}}}{80 \, x^{6}}"," ",0,"-3/80*(9*x^4 - 6*x^2 + 5)*(x^3 + x)^(2/3)/x^6","A",0
312,1,18,0,0.457304," ","integrate((2*x^2-x-2)/(-1+x)/x/(x^3-x^2)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(2 \, x - 1\right)}}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{4}}}"," ",0,"4*(2*x - 1)/(x^3 - x^2)^(1/4)","A",0
313,1,47,0,0.498495," ","integrate((2+x)/(-1+x)/(x^3-x^2-x)^(1/2),x, algorithm=""fricas"")","\arctan\left(\frac{\sqrt{x^{3} - x^{2} - x} {\left(x^{3} - 5 \, x^{2} + 5 \, x + 1\right)}}{2 \, {\left(x^{4} - 3 \, x^{3} + x^{2} + 2 \, x\right)}}\right)"," ",0,"arctan(1/2*sqrt(x^3 - x^2 - x)*(x^3 - 5*x^2 + 5*x + 1)/(x^4 - 3*x^3 + x^2 + 2*x))","A",0
314,1,24,0,0.472895," ","integrate((x^2+3)*(x^3+x^2+1)/x^6/(x^3+x)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(7 \, x^{3} + 3 \, x^{2} + 3\right)} {\left(x^{3} + x\right)}^{\frac{3}{4}}}{21 \, x^{6}}"," ",0,"-4/21*(7*x^3 + 3*x^2 + 3)*(x^3 + x)^(3/4)/x^6","A",0
315,1,27,0,0.454255," ","integrate((x^3-1)^(1/3)*(2*x^3-1)/x^11,x, algorithm=""fricas"")","\frac{{\left(3 \, x^{9} + x^{6} - 6 \, x^{3} + 2\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{20 \, x^{10}}"," ",0,"1/20*(3*x^9 + x^6 - 6*x^3 + 2)*(x^3 - 1)^(1/3)/x^10","A",0
316,1,24,0,0.465097," ","integrate((x^3-1)^(1/3)*(2*x^3-1)/x^8,x, algorithm=""fricas"")","\frac{{\left(11 \, x^{6} - 15 \, x^{3} + 4\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{28 \, x^{7}}"," ",0,"1/28*(11*x^6 - 15*x^3 + 4)*(x^3 - 1)^(1/3)/x^7","A",0
317,1,24,0,0.469368," ","integrate((x^2+3)*(2*x^3-x^2-1)/x^6/(x^3+x)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(14 \, x^{3} - 3 \, x^{2} - 3\right)} {\left(x^{3} + x\right)}^{\frac{3}{4}}}{21 \, x^{6}}"," ",0,"-4/21*(14*x^3 - 3*x^2 - 3)*(x^3 + x)^(3/4)/x^6","A",0
318,1,40,0,0.486073," ","integrate((a*x^3+2*b)/(a*x^3-b)^(1/2)/(a*x^3+x^2-b),x, algorithm=""fricas"")","\arctan\left(\frac{{\left(a x^{3} - x^{2} - b\right)} \sqrt{a x^{3} - b}}{2 \, {\left(a x^{4} - b x\right)}}\right)"," ",0,"arctan(1/2*(a*x^3 - x^2 - b)*sqrt(a*x^3 - b)/(a*x^4 - b*x))","B",0
319,1,24,0,0.433355," ","integrate((x^4-4)*(x^4-1)^(3/4)/x^12,x, algorithm=""fricas"")","-\frac{{\left(5 \, x^{8} + 23 \, x^{4} - 28\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}}}{77 \, x^{11}}"," ",0,"-1/77*(5*x^8 + 23*x^4 - 28)*(x^4 - 1)^(3/4)/x^11","A",0
320,1,34,0,0.434768," ","integrate((x^4+1)^(1/2)/x,x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{x^{4} + 1} - \frac{1}{4} \, \log\left(\sqrt{x^{4} + 1} + 1\right) + \frac{1}{4} \, \log\left(\sqrt{x^{4} + 1} - 1\right)"," ",0,"1/2*sqrt(x^4 + 1) - 1/4*log(sqrt(x^4 + 1) + 1) + 1/4*log(sqrt(x^4 + 1) - 1)","A",0
321,1,24,0,0.457618," ","integrate((x^4-x)^(1/4)/x^8,x, algorithm=""fricas"")","\frac{4 \, {\left(4 \, x^{6} + x^{3} - 5\right)} {\left(x^{4} - x\right)}^{\frac{1}{4}}}{135 \, x^{7}}"," ",0,"4/135*(4*x^6 + x^3 - 5)*(x^4 - x)^(1/4)/x^7","A",0
322,1,24,0,0.462302," ","integrate((x^4+x)^(1/4)/x^8,x, algorithm=""fricas"")","\frac{4 \, {\left(4 \, x^{6} - x^{3} - 5\right)} {\left(x^{4} + x\right)}^{\frac{1}{4}}}{135 \, x^{7}}"," ",0,"4/135*(4*x^6 - x^3 - 5)*(x^4 + x)^(1/4)/x^7","A",0
323,1,41,0,0.515231," ","integrate((x^2+2)/(x^2-1)/(x^4-x^2-1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \arctan\left(\frac{2 \, \sqrt{x^{4} - x^{2} - 1} {\left(x^{3} - 2 \, x\right)}}{x^{6} - 5 \, x^{4} + 5 \, x^{2} + 1}\right)"," ",0,"-1/2*arctan(2*sqrt(x^4 - x^2 - 1)*(x^3 - 2*x)/(x^6 - 5*x^4 + 5*x^2 + 1))","A",0
324,1,24,0,0.464985," ","integrate((x^3+4)*(x^4-x^3-1)/x^6/(x^3+1)^(3/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(5 \, x^{4} - x^{3} - 1\right)} {\left(x^{3} + 1\right)}^{\frac{1}{4}}}{5 \, x^{5}}"," ",0,"-4/5*(5*x^4 - x^3 - 1)*(x^3 + 1)^(1/4)/x^5","A",0
325,1,24,0,0.476819," ","integrate((x^3+4)*(x^4-x^3-1)/x^8/(x^3+1)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(7 \, x^{4} - 3 \, x^{3} - 3\right)} {\left(x^{3} + 1\right)}^{\frac{3}{4}}}{21 \, x^{7}}"," ",0,"-4/21*(7*x^4 - 3*x^3 - 3)*(x^3 + 1)^(3/4)/x^7","A",0
326,1,24,0,0.441099," ","integrate((x^3-4)*(x^4-x^3+1)/x^8/(x^3-1)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(7 \, x^{4} - 3 \, x^{3} + 3\right)} {\left(x^{3} - 1\right)}^{\frac{3}{4}}}{21 \, x^{7}}"," ",0,"-4/21*(7*x^4 - 3*x^3 + 3)*(x^3 - 1)^(3/4)/x^7","A",0
327,1,26,0,0.465447," ","integrate(x/(x^4+x^3)^(1/2),x, algorithm=""fricas"")","-\log\left(-\frac{2 \, x^{2} + x - 2 \, \sqrt{x^{4} + x^{3}}}{x}\right)"," ",0,"-log(-(2*x^2 + x - 2*sqrt(x^4 + x^3))/x)","A",0
328,1,16,0,0.454127," ","integrate(1/x/(1+x)/(x^4+x^3)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(4 \, x + 1\right)}}{3 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}"," ",0,"-4/3*(4*x + 1)/(x^4 + x^3)^(1/4)","A",0
329,1,24,0,0.462690," ","integrate((x^3+4)*(2*x^4-x^3-1)/x^6/(x^3+1)^(3/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(10 \, x^{4} - x^{3} - 1\right)} {\left(x^{3} + 1\right)}^{\frac{1}{4}}}{5 \, x^{5}}"," ",0,"-4/5*(10*x^4 - x^3 - 1)*(x^3 + 1)^(1/4)/x^5","A",0
330,1,24,0,0.477002," ","integrate((x^4-3)*(x^4-x^3+1)/x^6/(x^5+x)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{5} + x\right)}^{\frac{3}{4}} {\left(3 \, x^{4} - 7 \, x^{3} + 3\right)}}{21 \, x^{6}}"," ",0,"4/21*(x^5 + x)^(3/4)*(3*x^4 - 7*x^3 + 3)/x^6","A",0
331,1,20,0,0.466583," ","integrate((x^6-1)^(1/2)/x,x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{x^{6} - 1} - \frac{1}{3} \, \arctan\left(\sqrt{x^{6} - 1}\right)"," ",0,"1/3*sqrt(x^6 - 1) - 1/3*arctan(sqrt(x^6 - 1))","A",0
332,1,34,0,0.480916," ","integrate((x^6-1)/x/(x^6+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{x^{6} + 1} + \frac{1}{6} \, \log\left(\sqrt{x^{6} + 1} + 1\right) - \frac{1}{6} \, \log\left(\sqrt{x^{6} + 1} - 1\right)"," ",0,"1/3*sqrt(x^6 + 1) + 1/6*log(sqrt(x^6 + 1) + 1) - 1/6*log(sqrt(x^6 + 1) - 1)","A",0
333,1,34,0,0.457722," ","integrate((x^6+1)^(1/2)/x,x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{x^{6} + 1} - \frac{1}{6} \, \log\left(\sqrt{x^{6} + 1} + 1\right) + \frac{1}{6} \, \log\left(\sqrt{x^{6} + 1} - 1\right)"," ",0,"1/3*sqrt(x^6 + 1) - 1/6*log(sqrt(x^6 + 1) + 1) + 1/6*log(sqrt(x^6 + 1) - 1)","A",0
334,1,24,0,0.493714," ","integrate((x^6-1)^(1/3)*(x^6+1)/x^15,x, algorithm=""fricas"")","\frac{{\left(5 \, x^{12} - 3 \, x^{6} - 2\right)} {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{28 \, x^{14}}"," ",0,"1/28*(5*x^12 - 3*x^6 - 2)*(x^6 - 1)^(1/3)/x^14","A",0
335,1,24,0,0.485563," ","integrate((x^5-x^3+1)*(2*x^5-3)/x^6/(x^6+x)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{6} + x\right)}^{\frac{3}{4}} {\left(3 \, x^{5} - 7 \, x^{3} + 3\right)}}{21 \, x^{6}}"," ",0,"4/21*(x^6 + x)^(3/4)*(3*x^5 - 7*x^3 + 3)/x^6","A",0
336,1,24,0,0.484020," ","integrate((x^6-2)*(x^6-x^4+1)/x^8/(x^6+1)^(1/4),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, x^{6} - 7 \, x^{4} + 3\right)} {\left(x^{6} + 1\right)}^{\frac{3}{4}}}{21 \, x^{7}}"," ",0,"2/21*(3*x^6 - 7*x^4 + 3)*(x^6 + 1)^(3/4)/x^7","A",0
337,1,24,0,0.490782," ","integrate((x^6-1)^(1/3)*(2*x^6-1)/x^15,x, algorithm=""fricas"")","\frac{{\left(11 \, x^{12} - 15 \, x^{6} + 4\right)} {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{56 \, x^{14}}"," ",0,"1/56*(11*x^12 - 15*x^6 + 4)*(x^6 - 1)^(1/3)/x^14","A",0
338,1,53,0,0.477784," ","integrate(x^2*(x^3-2)*(x^3+1)^(1/2)/(x^9+3*x^3+1),x, algorithm=""fricas"")","\frac{1}{9} \, \sqrt{3} \log\left(\frac{x^{9} + 6 \, x^{6} + 3 \, x^{3} - 2 \, \sqrt{3} {\left(x^{6} + x^{3}\right)} \sqrt{x^{3} + 1} + 1}{x^{9} + 3 \, x^{3} + 1}\right)"," ",0,"1/9*sqrt(3)*log((x^9 + 6*x^6 + 3*x^3 - 2*sqrt(3)*(x^6 + x^3)*sqrt(x^3 + 1) + 1)/(x^9 + 3*x^3 + 1))","B",0
339,1,151,0,1.187467," ","integrate(x^4*(4*x^5-9)/(x^6-x)^(1/2)/(x^9-a*x^5+a),x, algorithm=""fricas"")","\left[\frac{\log\left(-\frac{x^{18} + 6 \, a x^{14} + a^{2} x^{10} - 6 \, a x^{9} - 2 \, a^{2} x^{5} - 4 \, {\left(x^{13} + a x^{9} - a x^{4}\right)} \sqrt{x^{6} - x} \sqrt{a} + a^{2}}{x^{18} - 2 \, a x^{14} + a^{2} x^{10} + 2 \, a x^{9} - 2 \, a^{2} x^{5} + a^{2}}\right)}{2 \, \sqrt{a}}, \frac{\sqrt{-a} \arctan\left(\frac{2 \, \sqrt{x^{6} - x} \sqrt{-a} x^{4}}{x^{9} + a x^{5} - a}\right)}{a}\right]"," ",0,"[1/2*log(-(x^18 + 6*a*x^14 + a^2*x^10 - 6*a*x^9 - 2*a^2*x^5 - 4*(x^13 + a*x^9 - a*x^4)*sqrt(x^6 - x)*sqrt(a) + a^2)/(x^18 - 2*a*x^14 + a^2*x^10 + 2*a*x^9 - 2*a^2*x^5 + a^2))/sqrt(a), sqrt(-a)*arctan(2*sqrt(x^6 - x)*sqrt(-a)*x^4/(x^9 + a*x^5 - a))/a]","A",0
340,1,146,0,0.699948," ","integrate(x^4*(5*x^4-9)/(x^5-x)^(1/2)/(a*x^9-x^4+1),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{a^{2} x^{18} + 6 \, a x^{13} - 6 \, a x^{9} + x^{8} - 2 \, x^{4} - 4 \, {\left(a x^{13} + x^{8} - x^{4}\right)} \sqrt{x^{5} - x} \sqrt{a} + 1}{a^{2} x^{18} - 2 \, a x^{13} + 2 \, a x^{9} + x^{8} - 2 \, x^{4} + 1}\right)}{2 \, \sqrt{a}}, \frac{\sqrt{-a} \arctan\left(\frac{{\left(a x^{9} + x^{4} - 1\right)} \sqrt{x^{5} - x} \sqrt{-a}}{2 \, {\left(a x^{9} - a x^{5}\right)}}\right)}{a}\right]"," ",0,"[1/2*log((a^2*x^18 + 6*a*x^13 - 6*a*x^9 + x^8 - 2*x^4 - 4*(a*x^13 + x^8 - x^4)*sqrt(x^5 - x)*sqrt(a) + 1)/(a^2*x^18 - 2*a*x^13 + 2*a*x^9 + x^8 - 2*x^4 + 1))/sqrt(a), sqrt(-a)*arctan(1/2*(a*x^9 + x^4 - 1)*sqrt(x^5 - x)*sqrt(-a)/(a*x^9 - a*x^5))/a]","B",0
341,1,138,0,1.155931," ","integrate(x^4*(4*x^5-9)/(x^6-x)^(1/2)/(a*x^9-x^5+1),x, algorithm=""fricas"")","\left[\frac{\log\left(-\frac{a^{2} x^{18} + 6 \, a x^{14} - 6 \, a x^{9} + x^{10} - 2 \, x^{5} - 4 \, {\left(a x^{13} + x^{9} - x^{4}\right)} \sqrt{x^{6} - x} \sqrt{a} + 1}{a^{2} x^{18} - 2 \, a x^{14} + 2 \, a x^{9} + x^{10} - 2 \, x^{5} + 1}\right)}{2 \, \sqrt{a}}, \frac{\sqrt{-a} \arctan\left(\frac{2 \, \sqrt{x^{6} - x} \sqrt{-a} x^{4}}{a x^{9} + x^{5} - 1}\right)}{a}\right]"," ",0,"[1/2*log(-(a^2*x^18 + 6*a*x^14 - 6*a*x^9 + x^10 - 2*x^5 - 4*(a*x^13 + x^9 - x^4)*sqrt(x^6 - x)*sqrt(a) + 1)/(a^2*x^18 - 2*a*x^14 + 2*a*x^9 + x^10 - 2*x^5 + 1))/sqrt(a), sqrt(-a)*arctan(2*sqrt(x^6 - x)*sqrt(-a)*x^4/(a*x^9 + x^5 - 1))/a]","A",0
342,1,31,0,0.478153," ","integrate((x^12+1)/x^16/(x^6-1)^(1/2),x, algorithm=""fricas"")","\frac{23 \, x^{15} + {\left(23 \, x^{12} + 4 \, x^{6} + 3\right)} \sqrt{x^{6} - 1}}{45 \, x^{15}}"," ",0,"1/45*(23*x^15 + (23*x^12 + 4*x^6 + 3)*sqrt(x^6 - 1))/x^15","A",0
343,1,42,0,0.464171," ","integrate((-1+x)/(-3+x)/(1+x)/(x^2-2*x-2)^(1/4),x, algorithm=""fricas"")","\arctan\left({\left(x^{2} - 2 \, x - 2\right)}^{\frac{1}{4}}\right) - \frac{1}{2} \, \log\left({\left(x^{2} - 2 \, x - 2\right)}^{\frac{1}{4}} + 1\right) + \frac{1}{2} \, \log\left({\left(x^{2} - 2 \, x - 2\right)}^{\frac{1}{4}} - 1\right)"," ",0,"arctan((x^2 - 2*x - 2)^(1/4)) - 1/2*log((x^2 - 2*x - 2)^(1/4) + 1) + 1/2*log((x^2 - 2*x - 2)^(1/4) - 1)","A",0
344,1,42,0,0.471749," ","integrate(1/(-1+x)/(x^2-2*x+2)^(1/4),x, algorithm=""fricas"")","\arctan\left({\left(x^{2} - 2 \, x + 2\right)}^{\frac{1}{4}}\right) - \frac{1}{2} \, \log\left({\left(x^{2} - 2 \, x + 2\right)}^{\frac{1}{4}} + 1\right) + \frac{1}{2} \, \log\left({\left(x^{2} - 2 \, x + 2\right)}^{\frac{1}{4}} - 1\right)"," ",0,"arctan((x^2 - 2*x + 2)^(1/4)) - 1/2*log((x^2 - 2*x + 2)^(1/4) + 1) + 1/2*log((x^2 - 2*x + 2)^(1/4) - 1)","A",0
345,1,42,0,0.446821," ","integrate(1/(1+x)/(x^2+2*x+2)^(1/4),x, algorithm=""fricas"")","\arctan\left({\left(x^{2} + 2 \, x + 2\right)}^{\frac{1}{4}}\right) - \frac{1}{2} \, \log\left({\left(x^{2} + 2 \, x + 2\right)}^{\frac{1}{4}} + 1\right) + \frac{1}{2} \, \log\left({\left(x^{2} + 2 \, x + 2\right)}^{\frac{1}{4}} - 1\right)"," ",0,"arctan((x^2 + 2*x + 2)^(1/4)) - 1/2*log((x^2 + 2*x + 2)^(1/4) + 1) + 1/2*log((x^2 + 2*x + 2)^(1/4) - 1)","A",0
346,1,35,0,0.449150," ","integrate(1/x/(x^3+1)^(1/4),x, algorithm=""fricas"")","\frac{2}{3} \, \arctan\left({\left(x^{3} + 1\right)}^{\frac{1}{4}}\right) - \frac{1}{3} \, \log\left({\left(x^{3} + 1\right)}^{\frac{1}{4}} + 1\right) + \frac{1}{3} \, \log\left({\left(x^{3} + 1\right)}^{\frac{1}{4}} - 1\right)"," ",0,"2/3*arctan((x^3 + 1)^(1/4)) - 1/3*log((x^3 + 1)^(1/4) + 1) + 1/3*log((x^3 + 1)^(1/4) - 1)","A",0
347,1,64,0,0.492219," ","integrate(1/x/(a*x^3-b)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b} \log\left(\frac{a x^{3} - 2 \, \sqrt{a x^{3} - b} \sqrt{-b} - 2 \, b}{x^{3}}\right)}{3 \, b}, \frac{2 \, \arctan\left(\frac{\sqrt{a x^{3} - b}}{\sqrt{b}}\right)}{3 \, \sqrt{b}}\right]"," ",0,"[-1/3*sqrt(-b)*log((a*x^3 - 2*sqrt(a*x^3 - b)*sqrt(-b) - 2*b)/x^3)/b, 2/3*arctan(sqrt(a*x^3 - b)/sqrt(b))/sqrt(b)]","A",0
348,1,25,0,0.446641," ","integrate(x^5/(a*x^3-b)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(a x^{3} + 2 \, b\right)} \sqrt{a x^{3} - b}}{9 \, a^{2}}"," ",0,"2/9*(a*x^3 + 2*b)*sqrt(a*x^3 - b)/a^2","A",0
349,1,36,0,0.492365," ","integrate((1+x)/(-1+x)/(x^4-x^2+1)^(1/2),x, algorithm=""fricas"")","\log\left(\frac{2 \, x^{2} - 3 \, x - \sqrt{x^{4} - x^{2} + 1} + 2}{x^{2} - 2 \, x + 1}\right)"," ",0,"log((2*x^2 - 3*x - sqrt(x^4 - x^2 + 1) + 2)/(x^2 - 2*x + 1))","A",0
350,1,48,0,0.459903," ","integrate((x^4-1)*(x^4+1)/(x^4+x^2+1)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(3 \, x^{5} + 2 \, x^{3} + 3 \, x\right)} \sqrt{x^{4} + x^{2} + 1}}{3 \, {\left(x^{8} + 2 \, x^{6} + 3 \, x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"-1/3*(3*x^5 + 2*x^3 + 3*x)*sqrt(x^4 + x^2 + 1)/(x^8 + 2*x^6 + 3*x^4 + 2*x^2 + 1)","A",0
351,1,48,0,0.458071," ","integrate(x^2*(x^3-4)/(x^3-1)^(3/4)/(x^4-x^3+1),x, algorithm=""fricas"")","-2 \, \arctan\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{4}}}{x}\right) - \log\left(\frac{x + {\left(x^{3} - 1\right)}^{\frac{1}{4}}}{x}\right) + \log\left(-\frac{x - {\left(x^{3} - 1\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-2*arctan((x^3 - 1)^(1/4)/x) - log((x + (x^3 - 1)^(1/4))/x) + log(-(x - (x^3 - 1)^(1/4))/x)","A",0
352,1,27,0,0.496801," ","integrate((1+2*x)/(x^4+2*x^3-3*x^2-4*x-4)^(1/2),x, algorithm=""fricas"")","\log\left(x^{2} + x + \sqrt{x^{4} + 2 \, x^{3} - 3 \, x^{2} - 4 \, x - 4} - 2\right)"," ",0,"log(x^2 + x + sqrt(x^4 + 2*x^3 - 3*x^2 - 4*x - 4) - 2)","A",0
353,1,64,0,0.457496," ","integrate(1/x/(a*x^4-b)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b} \log\left(\frac{a x^{4} - 2 \, \sqrt{a x^{4} - b} \sqrt{-b} - 2 \, b}{x^{4}}\right)}{4 \, b}, \frac{\arctan\left(\frac{\sqrt{a x^{4} - b}}{\sqrt{b}}\right)}{2 \, \sqrt{b}}\right]"," ",0,"[-1/4*sqrt(-b)*log((a*x^4 - 2*sqrt(a*x^4 - b)*sqrt(-b) - 2*b)/x^4)/b, 1/2*arctan(sqrt(a*x^4 - b)/sqrt(b))/sqrt(b)]","A",0
354,1,36,0,0.531492," ","integrate((2*x^6-1)/(x^6+1)/(x^6-2*x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{2 \, \sqrt{2} \sqrt{x^{6} - 2 \, x^{2} + 1} x}{x^{6} - 4 \, x^{2} + 1}\right)"," ",0,"-1/4*sqrt(2)*arctan(2*sqrt(2)*sqrt(x^6 - 2*x^2 + 1)*x/(x^6 - 4*x^2 + 1))","A",0
355,1,36,0,0.498533," ","integrate((2*x^6+1)/(x^6-1)/(x^6-2*x^2-1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{2 \, \sqrt{2} \sqrt{x^{6} - 2 \, x^{2} - 1} x}{x^{6} - 4 \, x^{2} - 1}\right)"," ",0,"-1/4*sqrt(2)*arctan(2*sqrt(2)*sqrt(x^6 - 2*x^2 - 1)*x/(x^6 - 4*x^2 - 1))","A",0
356,1,26,0,0.446773," ","integrate(x^8*(x^3-1)^(1/3),x, algorithm=""fricas"")","\frac{1}{140} \, {\left(14 \, x^{9} - 2 \, x^{6} - 3 \, x^{3} - 9\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}"," ",0,"1/140*(14*x^9 - 2*x^6 - 3*x^3 - 9)*(x^3 - 1)^(1/3)","A",0
357,1,26,0,0.460082," ","integrate(x^8*(x^3+1)^(1/4),x, algorithm=""fricas"")","\frac{4}{1755} \, {\left(45 \, x^{9} + 5 \, x^{6} - 8 \, x^{3} + 32\right)} {\left(x^{3} + 1\right)}^{\frac{1}{4}}"," ",0,"4/1755*(45*x^9 + 5*x^6 - 8*x^3 + 32)*(x^3 + 1)^(1/4)","A",0
358,1,26,0,0.457805," ","integrate(1/x^6/(x^3-x)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(9 \, x^{4} + 6 \, x^{2} + 5\right)} {\left(x^{3} - x\right)}^{\frac{2}{3}}}{80 \, x^{6}}"," ",0,"3/80*(9*x^4 + 6*x^2 + 5)*(x^3 - x)^(2/3)/x^6","A",0
359,1,26,0,0.454441," ","integrate(1/x^3/(x^3-x^2)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}} {\left(9 \, x^{2} + 6 \, x + 5\right)}}{40 \, x^{4}}"," ",0,"3/40*(x^3 - x^2)^(2/3)*(9*x^2 + 6*x + 5)/x^4","A",0
360,1,26,0,0.474309," ","integrate((x^2-3)*(x^3-x^2+1)/x^6/(x^3-x)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(7 \, x^{3} - 3 \, x^{2} + 3\right)} {\left(x^{3} - x\right)}^{\frac{3}{4}}}{21 \, x^{6}}"," ",0,"-4/21*(7*x^3 - 3*x^2 + 3)*(x^3 - x)^(3/4)/x^6","A",0
361,1,25,0,0.504945," ","integrate((x^2+1)/(x^2-1)/(x^3-x^2-x)^(1/2),x, algorithm=""fricas"")","\arctan\left(\frac{x^{2} - 2 \, x - 1}{2 \, \sqrt{x^{3} - x^{2} - x}}\right)"," ",0,"arctan(1/2*(x^2 - 2*x - 1)/sqrt(x^3 - x^2 - x))","A",0
362,1,25,0,0.444638," ","integrate((x^3-1)/x^3/(x^3+1)/(x^4+x)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{4} + x\right)}^{\frac{3}{4}} {\left(7 \, x^{3} + 1\right)}}{9 \, {\left(x^{6} + x^{3}\right)}}"," ",0,"4/9*(x^4 + x)^(3/4)*(7*x^3 + 1)/(x^6 + x^3)","A",0
363,1,26,0,0.436169," ","integrate((x^4-x^2)^(1/4)/x^6,x, algorithm=""fricas"")","\frac{2 \, {\left(4 \, x^{4} + x^{2} - 5\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}}}{45 \, x^{5}}"," ",0,"2/45*(4*x^4 + x^2 - 5)*(x^4 - x^2)^(1/4)/x^5","A",0
364,1,26,0,0.495337," ","integrate((-1+2*x)/(x^4-2*x^3+x+1)^(1/2),x, algorithm=""fricas"")","\log\left(2 \, x^{2} - 2 \, x + 2 \, \sqrt{x^{4} - 2 \, x^{3} + x + 1} - 1\right)"," ",0,"log(2*x^2 - 2*x + 2*sqrt(x^4 - 2*x^3 + x + 1) - 1)","A",0
365,1,18,0,0.466263," ","integrate((1+x)/(-1+x)/x/(x^4-x^3)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(7 \, x - 1\right)}}{3 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}"," ",0,"-4/3*(7*x - 1)/(x^4 - x^3)^(1/4)","A",0
366,1,26,0,0.465321," ","integrate((x^4+3)*(x^4-x^3-1)/x^6/(x^5-x)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{5} - x\right)}^{\frac{3}{4}} {\left(3 \, x^{4} - 7 \, x^{3} - 3\right)}}{21 \, x^{6}}"," ",0,"4/21*(x^5 - x)^(3/4)*(3*x^4 - 7*x^3 - 3)/x^6","A",0
367,1,26,0,0.496762," ","integrate((x^4+3)*(x^4+x^3-1)/x^6/(x^5-x)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{5} - x\right)}^{\frac{3}{4}} {\left(3 \, x^{4} + 7 \, x^{3} - 3\right)}}{21 \, x^{6}}"," ",0,"4/21*(x^5 - x)^(3/4)*(3*x^4 + 7*x^3 - 3)/x^6","A",0
368,1,127,0,0.537935," ","integrate((3*x^4-1)/(x^4-a*x+1)/(x^5+x)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{x^{8} + 6 \, a x^{5} + a^{2} x^{2} + 2 \, x^{4} - 4 \, \sqrt{x^{5} + x} {\left(x^{4} + a x + 1\right)} \sqrt{a} + 6 \, a x + 1}{x^{8} - 2 \, a x^{5} + a^{2} x^{2} + 2 \, x^{4} - 2 \, a x + 1}\right)}{2 \, \sqrt{a}}, \frac{\sqrt{-a} \arctan\left(\frac{\sqrt{x^{5} + x} {\left(x^{4} + a x + 1\right)} \sqrt{-a}}{2 \, {\left(a x^{5} + a x\right)}}\right)}{a}\right]"," ",0,"[1/2*log((x^8 + 6*a*x^5 + a^2*x^2 + 2*x^4 - 4*sqrt(x^5 + x)*(x^4 + a*x + 1)*sqrt(a) + 6*a*x + 1)/(x^8 - 2*a*x^5 + a^2*x^2 + 2*x^4 - 2*a*x + 1))/sqrt(a), sqrt(-a)*arctan(1/2*sqrt(x^5 + x)*(x^4 + a*x + 1)*sqrt(-a)/(a*x^5 + a*x))/a]","A",0
369,1,137,0,0.527222," ","integrate((3*x^4-1)/(a*x^4+a-x)/(x^5+x)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{a^{2} x^{8} + 2 \, a^{2} x^{4} + 6 \, a x^{5} - 4 \, {\left(a x^{4} + a + x\right)} \sqrt{x^{5} + x} \sqrt{a} + a^{2} + 6 \, a x + x^{2}}{a^{2} x^{8} + 2 \, a^{2} x^{4} - 2 \, a x^{5} + a^{2} - 2 \, a x + x^{2}}\right)}{2 \, \sqrt{a}}, \frac{\sqrt{-a} \arctan\left(\frac{{\left(a x^{4} + a + x\right)} \sqrt{x^{5} + x} \sqrt{-a}}{2 \, {\left(a x^{5} + a x\right)}}\right)}{a}\right]"," ",0,"[1/2*log((a^2*x^8 + 2*a^2*x^4 + 6*a*x^5 - 4*(a*x^4 + a + x)*sqrt(x^5 + x)*sqrt(a) + a^2 + 6*a*x + x^2)/(a^2*x^8 + 2*a^2*x^4 - 2*a*x^5 + a^2 - 2*a*x + x^2))/sqrt(a), sqrt(-a)*arctan(1/2*(a*x^4 + a + x)*sqrt(x^5 + x)*sqrt(-a)/(a*x^5 + a*x))/a]","A",0
370,1,53,0,0.499356," ","integrate((x^6-1)^(1/2)*(x^6+2)/x^3/(x^6-x^4-1),x, algorithm=""fricas"")","\frac{x^{2} \log\left(\frac{x^{6} + x^{4} - 2 \, \sqrt{x^{6} - 1} x^{2} - 1}{x^{6} - x^{4} - 1}\right) + 2 \, \sqrt{x^{6} - 1}}{2 \, x^{2}}"," ",0,"1/2*(x^2*log((x^6 + x^4 - 2*sqrt(x^6 - 1)*x^2 - 1)/(x^6 - x^4 - 1)) + 2*sqrt(x^6 - 1))/x^2","B",0
371,1,42,0,0.861736," ","integrate((-x^6+1)^(1/2)*(2*x^6+1)/x^2/(x^6-x^2-1),x, algorithm=""fricas"")","-\frac{x \arctan\left(\frac{2 \, \sqrt{-x^{6} + 1} x}{x^{6} + x^{2} - 1}\right) - 2 \, \sqrt{-x^{6} + 1}}{2 \, x}"," ",0,"-1/2*(x*arctan(2*sqrt(-x^6 + 1)*x/(x^6 + x^2 - 1)) - 2*sqrt(-x^6 + 1))/x","A",0
372,1,25,0,0.463907," ","integrate(1/x^4/(x^3-1)^(1/2),x, algorithm=""fricas"")","\frac{x^{3} \arctan\left(\sqrt{x^{3} - 1}\right) + \sqrt{x^{3} - 1}}{3 \, x^{3}}"," ",0,"1/3*(x^3*arctan(sqrt(x^3 - 1)) + sqrt(x^3 - 1))/x^3","A",0
373,1,65,0,0.453132," ","integrate((x^2-2*x-2)/(x^2-x+3)/(x^3-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(\frac{x^{4} + 14 \, x^{3} - 4 \, \sqrt{2} \sqrt{x^{3} - 1} {\left(x^{2} + 3 \, x - 1\right)} + 7 \, x^{2} - 6 \, x - 7}{x^{4} - 2 \, x^{3} + 7 \, x^{2} - 6 \, x + 9}\right)"," ",0,"1/4*sqrt(2)*log((x^4 + 14*x^3 - 4*sqrt(2)*sqrt(x^3 - 1)*(x^2 + 3*x - 1) + 7*x^2 - 6*x - 7)/(x^4 - 2*x^3 + 7*x^2 - 6*x + 9))","B",0
374,1,26,0,0.483518," ","integrate((x^2-2*x-2)/(x^2+3*x-1)/(x^3-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(x^{2} - x + 3\right)}}{4 \, \sqrt{x^{3} - 1}}\right)"," ",0,"1/2*sqrt(2)*arctan(1/4*sqrt(2)*(x^2 - x + 3)/sqrt(x^3 - 1))","A",0
375,1,27,0,0.468523," ","integrate((x^3-1)^(1/2)/x^4,x, algorithm=""fricas"")","\frac{x^{3} \arctan\left(\sqrt{x^{3} - 1}\right) - \sqrt{x^{3} - 1}}{3 \, x^{3}}"," ",0,"1/3*(x^3*arctan(sqrt(x^3 - 1)) - sqrt(x^3 - 1))/x^3","A",0
376,1,44,0,0.468005," ","integrate(1/x^4/(x^3+1)^(1/2),x, algorithm=""fricas"")","\frac{x^{3} \log\left(\sqrt{x^{3} + 1} + 1\right) - x^{3} \log\left(\sqrt{x^{3} + 1} - 1\right) - 2 \, \sqrt{x^{3} + 1}}{6 \, x^{3}}"," ",0,"1/6*(x^3*log(sqrt(x^3 + 1) + 1) - x^3*log(sqrt(x^3 + 1) - 1) - 2*sqrt(x^3 + 1))/x^3","A",0
377,1,44,0,0.481220," ","integrate((1+x)/(-2+x)/(x^3+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(\frac{x^{3} + 12 \, x^{2} - 6 \, \sqrt{x^{3} + 1} {\left(x + 1\right)} - 6 \, x + 10}{x^{3} - 6 \, x^{2} + 12 \, x - 8}\right)"," ",0,"1/3*log((x^3 + 12*x^2 - 6*sqrt(x^3 + 1)*(x + 1) - 6*x + 10)/(x^3 - 6*x^2 + 12*x - 8))","B",0
378,1,44,0,0.467577," ","integrate((x^3+1)^(1/2)/x^4,x, algorithm=""fricas"")","-\frac{x^{3} \log\left(\sqrt{x^{3} + 1} + 1\right) - x^{3} \log\left(\sqrt{x^{3} + 1} - 1\right) + 2 \, \sqrt{x^{3} + 1}}{6 \, x^{3}}"," ",0,"-1/6*(x^3*log(sqrt(x^3 + 1) + 1) - x^3*log(sqrt(x^3 + 1) - 1) + 2*sqrt(x^3 + 1))/x^3","A",0
379,1,48,0,0.510130," ","integrate((1+x)/(-1+2*x)/(x^4+x)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(\frac{10 \, x^{3} - 6 \, x^{2} - 6 \, \sqrt{x^{4} + x} {\left(x + 1\right)} + 12 \, x + 1}{8 \, x^{3} - 12 \, x^{2} + 6 \, x - 1}\right)"," ",0,"1/3*log((10*x^3 - 6*x^2 - 6*sqrt(x^4 + x)*(x + 1) + 12*x + 1)/(8*x^3 - 12*x^2 + 6*x - 1))","B",0
380,1,27,0,0.510901," ","integrate((-1+x)/(x^4-4*x^3+4*x^2-5)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(x^{2} - 2 \, x + \sqrt{x^{4} - 4 \, x^{3} + 4 \, x^{2} - 5}\right)"," ",0,"1/2*log(x^2 - 2*x + sqrt(x^4 - 4*x^3 + 4*x^2 - 5))","A",0
381,1,27,0,0.502508," ","integrate((2+x)/(x^4+8*x^3+16*x^2+13)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(x^{2} + 4 \, x + \sqrt{x^{4} + 8 \, x^{3} + 16 \, x^{2} + 13}\right)"," ",0,"1/2*log(x^2 + 4*x + sqrt(x^4 + 8*x^3 + 16*x^2 + 13))","A",0
382,1,63,0,0.497499," ","integrate(x/(a*x^4+b)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-2 \, a x^{4} - 2 \, \sqrt{a x^{4} + b} \sqrt{a} x^{2} - b\right)}{4 \, \sqrt{a}}, -\frac{\sqrt{-a} \arctan\left(\frac{\sqrt{-a} x^{2}}{\sqrt{a x^{4} + b}}\right)}{2 \, a}\right]"," ",0,"[1/4*log(-2*a*x^4 - 2*sqrt(a*x^4 + b)*sqrt(a)*x^2 - b)/sqrt(a), -1/2*sqrt(-a)*arctan(sqrt(-a)*x^2/sqrt(a*x^4 + b))/a]","A",0
383,1,25,0,0.481781," ","integrate(1/x^7/(x^6-1)^(1/2),x, algorithm=""fricas"")","\frac{x^{6} \arctan\left(\sqrt{x^{6} - 1}\right) + \sqrt{x^{6} - 1}}{6 \, x^{6}}"," ",0,"1/6*(x^6*arctan(sqrt(x^6 - 1)) + sqrt(x^6 - 1))/x^6","A",0
384,1,27,0,0.445365," ","integrate((x^6-1)^(1/2)/x^7,x, algorithm=""fricas"")","\frac{x^{6} \arctan\left(\sqrt{x^{6} - 1}\right) - \sqrt{x^{6} - 1}}{6 \, x^{6}}"," ",0,"1/6*(x^6*arctan(sqrt(x^6 - 1)) - sqrt(x^6 - 1))/x^6","A",0
385,1,45,0,0.483819," ","integrate((x^6-1)/x^7/(x^6+1)^(1/2),x, algorithm=""fricas"")","-\frac{3 \, x^{6} \log\left(\sqrt{x^{6} + 1} + 1\right) - 3 \, x^{6} \log\left(\sqrt{x^{6} + 1} - 1\right) - 2 \, \sqrt{x^{6} + 1}}{12 \, x^{6}}"," ",0,"-1/12*(3*x^6*log(sqrt(x^6 + 1) + 1) - 3*x^6*log(sqrt(x^6 + 1) - 1) - 2*sqrt(x^6 + 1))/x^6","A",0
386,1,44,0,0.463903," ","integrate((x^6+1)^(1/2)/x^7,x, algorithm=""fricas"")","-\frac{x^{6} \log\left(\sqrt{x^{6} + 1} + 1\right) - x^{6} \log\left(\sqrt{x^{6} + 1} - 1\right) + 2 \, \sqrt{x^{6} + 1}}{12 \, x^{6}}"," ",0,"-1/12*(x^6*log(sqrt(x^6 + 1) + 1) - x^6*log(sqrt(x^6 + 1) - 1) + 2*sqrt(x^6 + 1))/x^6","A",0
387,1,27,0,0.468503," ","integrate((x^6+2)*(x^12+x^8-2*x^6+1)/x^10/(x^6-1)^(3/4),x, algorithm=""fricas"")","\frac{2 \, {\left(x^{12} + 9 \, x^{8} - 2 \, x^{6} + 1\right)} {\left(x^{6} - 1\right)}^{\frac{1}{4}}}{9 \, x^{9}}"," ",0,"2/9*(x^12 + 9*x^8 - 2*x^6 + 1)*(x^6 - 1)^(1/4)/x^9","A",0
388,1,28,0,0.535003," ","integrate((2*x^2+2*x-1)/(3*x^2-x+1)/(x^4-x)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(x^{2} - 3 \, x - 1\right)}}{4 \, \sqrt{x^{4} - x}}\right)"," ",0,"1/2*sqrt(2)*arctan(1/4*sqrt(2)*(x^2 - 3*x - 1)/sqrt(x^4 - x))","A",0
389,1,29,0,0.446125," ","integrate((x^3+1)/x^3/(x^3-1)/(x^4-x)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(x^{4} - x\right)}^{\frac{3}{4}} {\left(7 \, x^{3} - 1\right)}}{9 \, {\left(x^{6} - x^{3}\right)}}"," ",0,"-4/9*(x^4 - x)^(3/4)*(7*x^3 - 1)/(x^6 - x^3)","A",0
390,1,68,0,0.544092," ","integrate((2*x^2-2*x-1)/(x^2+3*x-1)/(x^4+x)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(-\frac{17 \, x^{4} + 6 \, x^{3} + 4 \, \sqrt{2} \sqrt{x^{4} + x} {\left(3 \, x^{2} + x + 1\right)} + 7 \, x^{2} + 10 \, x + 1}{x^{4} + 6 \, x^{3} + 7 \, x^{2} - 6 \, x + 1}\right)"," ",0,"1/4*sqrt(2)*log(-(17*x^4 + 6*x^3 + 4*sqrt(2)*sqrt(x^4 + x)*(3*x^2 + x + 1) + 7*x^2 + 10*x + 1)/(x^4 + 6*x^3 + 7*x^2 - 6*x + 1))","B",0
391,1,27,0,0.443892," ","integrate((x^2-1)/x^2/(x^2+1)/(x^4+x^2)^(1/4),x, algorithm=""fricas"")","\frac{2 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}} {\left(7 \, x^{2} + 1\right)}}{3 \, {\left(x^{5} + x^{3}\right)}}"," ",0,"2/3*(x^4 + x^2)^(3/4)*(7*x^2 + 1)/(x^5 + x^3)","A",0
392,1,30,0,0.508485," ","integrate((-1+2*x)/(x^4-2*x^3+9*x^2-8*x)^(1/2),x, algorithm=""fricas"")","\log\left(-x^{2} + x - \sqrt{x^{4} - 2 \, x^{3} + 9 \, x^{2} - 8 \, x} - 4\right)"," ",0,"log(-x^2 + x - sqrt(x^4 - 2*x^3 + 9*x^2 - 8*x) - 4)","A",0
393,1,45,0,0.494910," ","integrate((-a+2*x)/(-a*x+x^2+b-1)/(-a*x+x^2+b)^(1/4),x, algorithm=""fricas"")","2 \, \arctan\left({\left(-a x + x^{2} + b\right)}^{\frac{1}{4}}\right) - \log\left({\left(-a x + x^{2} + b\right)}^{\frac{1}{4}} + 1\right) + \log\left({\left(-a x + x^{2} + b\right)}^{\frac{1}{4}} - 1\right)"," ",0,"2*arctan((-a*x + x^2 + b)^(1/4)) - log((-a*x + x^2 + b)^(1/4) + 1) + log((-a*x + x^2 + b)^(1/4) - 1)","A",0
394,1,29,0,0.460772," ","integrate((x^3-4)*(x^3-1)^(2/3)/x^12,x, algorithm=""fricas"")","-\frac{{\left(39 \, x^{9} + 26 \, x^{6} + 95 \, x^{3} - 160\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{440 \, x^{11}}"," ",0,"-1/440*(39*x^9 + 26*x^6 + 95*x^3 - 160)*(x^3 - 1)^(2/3)/x^11","A",0
395,1,63,0,0.479062," ","integrate((x^2+2*x-2)/(x^2-3*x-1)/(x^3+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(\frac{x^{4} + 10 \, x^{3} - 4 \, \sqrt{2} \sqrt{x^{3} + 1} {\left(x^{2} + x + 3\right)} + 7 \, x^{2} + 6 \, x + 17}{x^{4} - 6 \, x^{3} + 7 \, x^{2} + 6 \, x + 1}\right)"," ",0,"1/4*sqrt(2)*log((x^4 + 10*x^3 - 4*sqrt(2)*sqrt(x^3 + 1)*(x^2 + x + 3) + 7*x^2 + 6*x + 17)/(x^4 - 6*x^3 + 7*x^2 + 6*x + 1))","B",0
396,1,28,0,0.489697," ","integrate((x^2+2*x-2)/(2*x^2-x+3)/(x^3+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, x^{2} - 3 \, x + 1\right)}}{4 \, \sqrt{x^{3} + 1}}\right)"," ",0,"1/2*sqrt(2)*arctan(1/4*sqrt(2)*(2*x^2 - 3*x + 1)/sqrt(x^3 + 1))","A",0
397,1,66,0,0.510574," ","integrate((x^2+2*x-2)/(3*x^2-4*x+2)/(x^3+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \log\left(\frac{9 \, x^{4} - 4 \, \sqrt{3} \sqrt{x^{3} + 1} {\left(3 \, x^{2} - 2 \, x + 4\right)} + 28 \, x^{2} - 16 \, x + 28}{9 \, x^{4} - 24 \, x^{3} + 28 \, x^{2} - 16 \, x + 4}\right)"," ",0,"1/6*sqrt(3)*log((9*x^4 - 4*sqrt(3)*sqrt(x^3 + 1)*(3*x^2 - 2*x + 4) + 28*x^2 - 16*x + 28)/(9*x^4 - 24*x^3 + 28*x^2 - 16*x + 4))","B",0
398,1,29,0,0.474510," ","integrate((x^3-1)*(x^3+1)^(1/3)/x^11,x, algorithm=""fricas"")","\frac{{\left(12 \, x^{9} - 4 \, x^{6} - 9 \, x^{3} + 7\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{70 \, x^{10}}"," ",0,"1/70*(12*x^9 - 4*x^6 - 9*x^3 + 7)*(x^3 + 1)^(1/3)/x^10","A",0
399,1,29,0,0.467596," ","integrate((x^3-1)^(1/3)*(x^3+1)/x^11,x, algorithm=""fricas"")","\frac{{\left(12 \, x^{9} + 4 \, x^{6} - 9 \, x^{3} - 7\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{70 \, x^{10}}"," ",0,"1/70*(12*x^9 + 4*x^6 - 9*x^3 - 7)*(x^3 - 1)^(1/3)/x^10","A",0
400,1,42,0,0.447309," ","integrate((3*x^3+x^2-2*x-1)/(x^3-3*x^2+3*x-1)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(135 \, x^{3} + 245 \, x^{2} + 158 \, x + 47\right)} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{3}{4}}}{585 \, {\left(x^{2} - 2 \, x + 1\right)}}"," ",0,"4/585*(135*x^3 + 245*x^2 + 158*x + 47)*(x^3 - 3*x^2 + 3*x - 1)^(3/4)/(x^2 - 2*x + 1)","A",0
401,1,37,0,0.459137," ","integrate((x^3-3*x^2+3*x-1)^(1/4)*(3*x^3+x^2-2*x-1),x, algorithm=""fricas"")","\frac{4}{4389} \, {\left(693 \, x^{4} + 154 \, x^{3} - 1029 \, x^{2} - 549 \, x + 731\right)} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}"," ",0,"4/4389*(693*x^4 + 154*x^3 - 1029*x^2 - 549*x + 731)*(x^3 - 3*x^2 + 3*x - 1)^(1/4)","A",0
402,1,56,0,27.704963," ","integrate((a*x^3-2*b)*(a*x^3+b)^(1/2)/x^2/(a*x^3-x^2+b),x, algorithm=""fricas"")","\frac{x \log\left(\frac{a x^{3} + x^{2} - 2 \, \sqrt{a x^{3} + b} x + b}{a x^{3} - x^{2} + b}\right) + 2 \, \sqrt{a x^{3} + b}}{x}"," ",0,"(x*log((a*x^3 + x^2 - 2*sqrt(a*x^3 + b)*x + b)/(a*x^3 - x^2 + b)) + 2*sqrt(a*x^3 + b))/x","A",0
403,1,50,0,0.472806," ","integrate(1/(x^4+1)^(1/4),x, algorithm=""fricas"")","-\frac{1}{2} \, \arctan\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{4} \, \log\left(\frac{x + {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{4} \, \log\left(-\frac{x - {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-1/2*arctan((x^4 + 1)^(1/4)/x) + 1/4*log((x + (x^4 + 1)^(1/4))/x) - 1/4*log(-(x - (x^4 + 1)^(1/4))/x)","A",0
404,1,28,0,0.535433," ","integrate((2*x^2-2*x-1)/(4*x^2+2*x+1)/(x^4+x)^(1/2),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{2} + 4 \, x - 1\right)}}{6 \, \sqrt{x^{4} + x}}\right)"," ",0,"-1/3*sqrt(3)*arctan(1/6*sqrt(3)*(2*x^2 + 4*x - 1)/sqrt(x^4 + x))","A",0
405,1,31,0,0.522370," ","integrate((x^4+x)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{x^{4} + x} x + \frac{1}{6} \, \log\left(-2 \, x^{3} - 2 \, \sqrt{x^{4} + x} x - 1\right)"," ",0,"1/3*sqrt(x^4 + x)*x + 1/6*log(-2*x^3 - 2*sqrt(x^4 + x)*x - 1)","A",0
406,1,95,0,3.027808," ","integrate(1/(x^4-x^2)^(1/4),x, algorithm=""fricas"")","-\frac{1}{2} \, \arctan\left(\frac{2 \, {\left({\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} + {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}\right)}}{x}\right) + \frac{1}{2} \, \log\left(\frac{2 \, x^{3} + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \, \sqrt{x^{4} - x^{2}} x - x + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{x}\right)"," ",0,"-1/2*arctan(2*((x^4 - x^2)^(1/4)*x^2 + (x^4 - x^2)^(3/4))/x) + 1/2*log((2*x^3 + 2*(x^4 - x^2)^(1/4)*x^2 + 2*sqrt(x^4 - x^2)*x - x + 2*(x^4 - x^2)^(3/4))/x)","B",0
407,-1,0,0,0.000000," ","integrate((a*x^2+2*b)/(a*x^2+b)^(1/4)/(x^4-a*x^2-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
408,1,31,0,0.848289," ","integrate((-1+2*x)/(x^4-2*x^3+3*x^2-2*x-2)^(1/2),x, algorithm=""fricas"")","\log\left(-x^{2} + x - \sqrt{x^{4} - 2 \, x^{3} + 3 \, x^{2} - 2 \, x - 2} - 1\right)"," ",0,"log(-x^2 + x - sqrt(x^4 - 2*x^3 + 3*x^2 - 2*x - 2) - 1)","A",0
409,1,29,0,0.608820," ","integrate((-1+2*x)/(x^4-2*x^3+5*x^2-4*x-4)^(1/2),x, algorithm=""fricas"")","\log\left(x^{2} - x + \sqrt{x^{4} - 2 \, x^{3} + 5 \, x^{2} - 4 \, x - 4} + 2\right)"," ",0,"log(x^2 - x + sqrt(x^4 - 2*x^3 + 5*x^2 - 4*x - 4) + 2)","A",0
410,1,29,0,0.515677," ","integrate(1/x^4/(x^4+x^3)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{4} + x^{3}\right)}^{\frac{3}{4}} {\left(128 \, x^{3} - 96 \, x^{2} + 84 \, x - 77\right)}}{1155 \, x^{6}}"," ",0,"4/1155*(x^4 + x^3)^(3/4)*(128*x^3 - 96*x^2 + 84*x - 77)/x^6","A",0
411,1,67,0,0.487247," ","integrate(x/(a*x^4-b)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(2 \, a x^{4} + 2 \, \sqrt{a x^{4} - b} \sqrt{a} x^{2} - b\right)}{4 \, \sqrt{a}}, -\frac{\sqrt{-a} \arctan\left(\frac{\sqrt{-a} x^{2}}{\sqrt{a x^{4} - b}}\right)}{2 \, a}\right]"," ",0,"[1/4*log(2*a*x^4 + 2*sqrt(a*x^4 - b)*sqrt(a)*x^2 - b)/sqrt(a), -1/2*sqrt(-a)*arctan(sqrt(-a)*x^2/sqrt(a*x^4 - b))/a]","A",0
412,1,29,0,0.641362," ","integrate((x^3+1)^(2/3)*(2*x^6-x^3+1)/x^12,x, algorithm=""fricas"")","-\frac{{\left(227 \, x^{9} + 142 \, x^{6} - 45 \, x^{3} + 40\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{440 \, x^{11}}"," ",0,"-1/440*(227*x^9 + 142*x^6 - 45*x^3 + 40)*(x^3 + 1)^(2/3)/x^11","A",0
413,1,71,0,0.667603," ","integrate((x^4+3)*(-x^5+x)^(1/2)/(x^8-x^6-2*x^4+1),x, algorithm=""fricas"")","-\frac{1}{2} \, \arctan\left(\frac{\sqrt{-x^{5} + x} {\left(x^{4} + x^{3} - 1\right)}}{2 \, {\left(x^{6} - x^{2}\right)}}\right) + \frac{1}{2} \, \log\left(-\frac{x^{4} - x^{3} - 2 \, \sqrt{-x^{5} + x} x - 1}{x^{4} + x^{3} - 1}\right)"," ",0,"-1/2*arctan(1/2*sqrt(-x^5 + x)*(x^4 + x^3 - 1)/(x^6 - x^2)) + 1/2*log(-(x^4 - x^3 - 2*sqrt(-x^5 + x)*x - 1)/(x^4 + x^3 - 1))","B",0
414,1,29,0,0.660459," ","integrate((x^16-1)/x^8/(x^4-1)^(1/2),x, algorithm=""fricas"")","\frac{{\left(3 \, x^{12} + 5 \, x^{8} - 5 \, x^{4} - 3\right)} \sqrt{x^{4} - 1}}{21 \, x^{7}}"," ",0,"1/21*(3*x^12 + 5*x^8 - 5*x^4 - 3)*sqrt(x^4 - 1)/x^7","A",0
415,1,28,0,0.546098," ","integrate(((-1+x)^(3/2)+(1+x)^(3/2))/(-1+x)^(3/2)/(1+x)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, {\left({\left(x + 1\right)} \sqrt{x - 1} + \sqrt{x + 1} {\left(x - 1\right)}\right)}}{x^{2} - 1}"," ",0,"-2*((x + 1)*sqrt(x - 1) + sqrt(x + 1)*(x - 1))/(x^2 - 1)","A",0
416,1,68,0,0.514399," ","integrate((1+x)/(-1+x)/(x^3+x^2+x)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \log\left(\frac{x^{4} + 20 \, x^{3} - 4 \, \sqrt{3} \sqrt{x^{3} + x^{2} + x} {\left(x^{2} + 4 \, x + 1\right)} + 30 \, x^{2} + 20 \, x + 1}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right)"," ",0,"1/6*sqrt(3)*log((x^4 + 20*x^3 - 4*sqrt(3)*sqrt(x^3 + x^2 + x)*(x^2 + 4*x + 1) + 30*x^2 + 20*x + 1)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1))","B",0
417,1,68,0,0.496322," ","integrate((x^2-1)/(x^2-x+1)/(x^3+x^2+x)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(\frac{x^{4} + 14 \, x^{3} - 4 \, \sqrt{2} \sqrt{x^{3} + x^{2} + x} {\left(x^{2} + 3 \, x + 1\right)} + 19 \, x^{2} + 14 \, x + 1}{x^{4} - 2 \, x^{3} + 3 \, x^{2} - 2 \, x + 1}\right)"," ",0,"1/4*sqrt(2)*log((x^4 + 14*x^3 - 4*sqrt(2)*sqrt(x^3 + x^2 + x)*(x^2 + 3*x + 1) + 19*x^2 + 14*x + 1)/(x^4 - 2*x^3 + 3*x^2 - 2*x + 1))","B",0
418,1,66,0,0.528589," ","integrate((-1+x)/(1+x)/(x^4+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(-\frac{3 \, x^{4} + 4 \, x^{3} + 2 \, \sqrt{2} \sqrt{x^{4} + 1} {\left(x^{2} + x + 1\right)} + 6 \, x^{2} + 4 \, x + 3}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right)"," ",0,"1/4*sqrt(2)*log(-(3*x^4 + 4*x^3 + 2*sqrt(2)*sqrt(x^4 + 1)*(x^2 + x + 1) + 6*x^2 + 4*x + 3)/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1))","B",0
419,1,68,0,0.496319," ","integrate((1+x)/(-1+x)/(x^4+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(-\frac{3 \, x^{4} - 4 \, x^{3} - 2 \, \sqrt{2} \sqrt{x^{4} + 1} {\left(x^{2} - x + 1\right)} + 6 \, x^{2} - 4 \, x + 3}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right)"," ",0,"1/4*sqrt(2)*log(-(3*x^4 - 4*x^3 - 2*sqrt(2)*sqrt(x^4 + 1)*(x^2 - x + 1) + 6*x^2 - 4*x + 3)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1))","B",0
420,1,73,0,0.511419," ","integrate((1+x)/(-1+x)/(x^4+x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \log\left(-\frac{7 \, x^{4} - 4 \, x^{3} - 2 \, \sqrt{3} \sqrt{x^{4} + x^{2} + 1} {\left(2 \, x^{2} - x + 2\right)} + 12 \, x^{2} - 4 \, x + 7}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right)"," ",0,"1/6*sqrt(3)*log(-(7*x^4 - 4*x^3 - 2*sqrt(3)*sqrt(x^4 + x^2 + 1)*(2*x^2 - x + 2) + 12*x^2 - 4*x + 7)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1))","B",0
421,1,38,0,0.487145," ","integrate((x^2+1)/(x^2-1)/(x^4+x^3-x^2-x+1)^(1/2),x, algorithm=""fricas"")","\log\left(-\frac{x^{2} + 2 \, x - 2 \, \sqrt{x^{4} + x^{3} - x^{2} - x + 1} - 1}{x^{2} - 1}\right)"," ",0,"log(-(x^2 + 2*x - 2*sqrt(x^4 + x^3 - x^2 - x + 1) - 1)/(x^2 - 1))","A",0
422,1,40,0,0.496557," ","integrate(x/(x^4+2*x^3-3*x^2-11*x+11)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(2 \, x^{3} + 6 \, x^{2} + 2 \, \sqrt{x^{4} + 2 \, x^{3} - 3 \, x^{2} - 11 \, x + 11} {\left(x + 2\right)} - 15\right)"," ",0,"1/3*log(2*x^3 + 6*x^2 + 2*sqrt(x^4 + 2*x^3 - 3*x^2 - 11*x + 11)*(x + 2) - 15)","A",0
423,1,38,0,0.489947," ","integrate((1+x)/(x^4+2*x^3-3*x^2-5*x+2)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(2 \, x^{3} + 2 \, \sqrt{x^{4} + 2 \, x^{3} - 3 \, x^{2} - 5 \, x + 2} {\left(x - 1\right)} - 6 \, x + 3\right)"," ",0,"1/3*log(2*x^3 + 2*sqrt(x^4 + 2*x^3 - 3*x^2 - 5*x + 2)*(x - 1) - 6*x + 3)","A",0
424,1,40,0,0.512613," ","integrate(x/(x^4+2*x^3-3*x^2+3*x-3)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(2 \, x^{3} + 6 \, x^{2} + 2 \, \sqrt{x^{4} + 2 \, x^{3} - 3 \, x^{2} + 3 \, x - 3} {\left(x + 2\right)} - 1\right)"," ",0,"1/3*log(2*x^3 + 6*x^2 + 2*sqrt(x^4 + 2*x^3 - 3*x^2 + 3*x - 3)*(x + 2) - 1)","A",0
425,1,58,0,0.502065," ","integrate((-x^6+1)^(1/2)*(x^6+2)/x^3/(x^6+x^4-1),x, algorithm=""fricas"")","\frac{x^{2} \log\left(-\frac{x^{6} - x^{4} + 2 \, \sqrt{-x^{6} + 1} x^{2} - 1}{x^{6} + x^{4} - 1}\right) + 2 \, \sqrt{-x^{6} + 1}}{2 \, x^{2}}"," ",0,"1/2*(x^2*log(-(x^6 - x^4 + 2*sqrt(-x^6 + 1)*x^2 - 1)/(x^6 + x^4 - 1)) + 2*sqrt(-x^6 + 1))/x^2","A",0
426,1,83,0,0.883633," ","integrate(x^(1/2)/(x^2-2)^(3/4),x, algorithm=""fricas"")","-\frac{1}{2} \, \arctan\left(\frac{{\left(x^{2} - 2\right)}^{\frac{3}{4}} x^{\frac{3}{2}} - {\left(x^{2} - 2\right)}^{\frac{5}{4}} \sqrt{x}}{2 \, {\left(x^{3} - 2 \, x\right)}}\right) + \frac{1}{2} \, \log\left(-x^{2} - {\left(x^{2} - 2\right)}^{\frac{1}{4}} x^{\frac{3}{2}} - \sqrt{x^{2} - 2} x - {\left(x^{2} - 2\right)}^{\frac{3}{4}} \sqrt{x} + 1\right)"," ",0,"-1/2*arctan(1/2*((x^2 - 2)^(3/4)*x^(3/2) - (x^2 - 2)^(5/4)*sqrt(x))/(x^3 - 2*x)) + 1/2*log(-x^2 - (x^2 - 2)^(1/4)*x^(3/2) - sqrt(x^2 - 2)*x - (x^2 - 2)^(3/4)*sqrt(x) + 1)","B",0
427,1,51,0,0.471303," ","integrate((a+x)/(2*a*x+x^2+2*b-1)/(2*a*x+x^2+2*b)^(1/4),x, algorithm=""fricas"")","\arctan\left({\left(2 \, a x + x^{2} + 2 \, b\right)}^{\frac{1}{4}}\right) - \frac{1}{2} \, \log\left({\left(2 \, a x + x^{2} + 2 \, b\right)}^{\frac{1}{4}} + 1\right) + \frac{1}{2} \, \log\left({\left(2 \, a x + x^{2} + 2 \, b\right)}^{\frac{1}{4}} - 1\right)"," ",0,"arctan((2*a*x + x^2 + 2*b)^(1/4)) - 1/2*log((2*a*x + x^2 + 2*b)^(1/4) + 1) + 1/2*log((2*a*x + x^2 + 2*b)^(1/4) - 1)","A",0
428,1,106,0,0.502112," ","integrate(1/(a*x^2+b*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-8 \, a^{2} x^{2} - 8 \, a b x - 4 \, \sqrt{a x^{2} + b x + c} {\left(2 \, a x + b\right)} \sqrt{a} - b^{2} - 4 \, a c\right)}{2 \, \sqrt{a}}, -\frac{\sqrt{-a} \arctan\left(\frac{\sqrt{a x^{2} + b x + c} {\left(2 \, a x + b\right)} \sqrt{-a}}{2 \, {\left(a^{2} x^{2} + a b x + a c\right)}}\right)}{a}\right]"," ",0,"[1/2*log(-8*a^2*x^2 - 8*a*b*x - 4*sqrt(a*x^2 + b*x + c)*(2*a*x + b)*sqrt(a) - b^2 - 4*a*c)/sqrt(a), -sqrt(-a)*arctan(1/2*sqrt(a*x^2 + b*x + c)*(2*a*x + b)*sqrt(-a)/(a^2*x^2 + a*b*x + a*c))/a]","A",0
429,1,31,0,0.476710," ","integrate(x^11*(x^3-1)^(1/3),x, algorithm=""fricas"")","\frac{1}{1820} \, {\left(140 \, x^{12} - 14 \, x^{9} - 18 \, x^{6} - 27 \, x^{3} - 81\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}"," ",0,"1/1820*(140*x^12 - 14*x^9 - 18*x^6 - 27*x^3 - 81)*(x^3 - 1)^(1/3)","A",0
430,1,73,0,0.477683," ","integrate((x^2-2*x-1)/(3*x^2+2*x+1)/(x^3-x)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \log\left(\frac{9 \, x^{4} + 36 \, x^{3} - 4 \, \sqrt{3} \sqrt{x^{3} - x} {\left(3 \, x^{2} + 4 \, x - 1\right)} + 10 \, x^{2} - 20 \, x + 1}{9 \, x^{4} + 12 \, x^{3} + 10 \, x^{2} + 4 \, x + 1}\right)"," ",0,"1/6*sqrt(3)*log((9*x^4 + 36*x^3 - 4*sqrt(3)*sqrt(x^3 - x)*(3*x^2 + 4*x - 1) + 10*x^2 - 20*x + 1)/(9*x^4 + 12*x^3 + 10*x^2 + 4*x + 1))","B",0
431,1,33,0,0.466243," ","integrate((x^2-1)*(-x^4-4*x^3-5*x^2-4*x-1)^(1/2)/(x^2+x+1)/(x^2+3*x+1)^2,x, algorithm=""fricas"")","\frac{\sqrt{-x^{4} - 4 \, x^{3} - 5 \, x^{2} - 4 \, x - 1}}{x^{2} + 3 \, x + 1}"," ",0,"sqrt(-x^4 - 4*x^3 - 5*x^2 - 4*x - 1)/(x^2 + 3*x + 1)","A",0
432,1,38,0,0.469928," ","integrate((x^4-1)/x^3/(x^4+1)^(1/2),x, algorithm=""fricas"")","-\frac{x^{2} \log\left(-x^{2} + \sqrt{x^{4} + 1}\right) - x^{2} - \sqrt{x^{4} + 1}}{2 \, x^{2}}"," ",0,"-1/2*(x^2*log(-x^2 + sqrt(x^4 + 1)) - x^2 - sqrt(x^4 + 1))/x^2","A",0
433,1,30,0,0.472515," ","integrate((x^3-1)/x^6/(x^3+1)/(x^4+x)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(20 \, x^{6} + 5 \, x^{3} - 1\right)} {\left(x^{4} + x\right)}^{\frac{3}{4}}}{21 \, {\left(x^{9} + x^{6}\right)}}"," ",0,"-4/21*(20*x^6 + 5*x^3 - 1)*(x^4 + x)^(3/4)/(x^9 + x^6)","A",0
434,1,37,0,0.515895," ","integrate((x^4+x)^(1/2)/x^3,x, algorithm=""fricas"")","\frac{x^{2} \log\left(-2 \, x^{3} - 2 \, \sqrt{x^{4} + x} x - 1\right) - 2 \, \sqrt{x^{4} + x}}{3 \, x^{2}}"," ",0,"1/3*(x^2*log(-2*x^3 - 2*sqrt(x^4 + x)*x - 1) - 2*sqrt(x^4 + x))/x^2","A",0
435,1,31,0,0.447902," ","integrate(1/x^8/(x^4+x^2)^(1/4),x, algorithm=""fricas"")","\frac{2 \, {\left(128 \, x^{6} - 96 \, x^{4} + 84 \, x^{2} - 77\right)} {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{1155 \, x^{9}}"," ",0,"2/1155*(128*x^6 - 96*x^4 + 84*x^2 - 77)*(x^4 + x^2)^(3/4)/x^9","A",0
436,1,33,0,0.505732," ","integrate((1-2*x)/(x^4-2*x^3-4*x^2+5*x+5)^(1/2),x, algorithm=""fricas"")","\log\left(-2 \, x^{2} + 2 \, x + 2 \, \sqrt{x^{4} - 2 \, x^{3} - 4 \, x^{2} + 5 \, x + 5} + 5\right)"," ",0,"log(-2*x^2 + 2*x + 2*sqrt(x^4 - 2*x^3 - 4*x^2 + 5*x + 5) + 5)","A",0
437,1,31,0,0.466291," ","integrate(1/x^4/(x^4-x^3)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{4} - x^{3}\right)}^{\frac{3}{4}} {\left(128 \, x^{3} + 96 \, x^{2} + 84 \, x + 77\right)}}{1155 \, x^{6}}"," ",0,"4/1155*(x^4 - x^3)^(3/4)*(128*x^3 + 96*x^2 + 84*x + 77)/x^6","A",0
438,1,33,0,0.489554," ","integrate((1+2*x)/(x^4+2*x^3-2*x^2-3*x-4)^(1/2),x, algorithm=""fricas"")","\log\left(2 \, x^{2} + 2 \, x + 2 \, \sqrt{x^{4} + 2 \, x^{3} - 2 \, x^{2} - 3 \, x - 4} - 3\right)"," ",0,"log(2*x^2 + 2*x + 2*sqrt(x^4 + 2*x^3 - 2*x^2 - 3*x - 4) - 3)","A",0
439,-1,0,0,0.000000," ","integrate((a*x^3+4*b)/(a*x^3+b)^(1/4)/(-a*x^3+x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
440,1,29,0,0.635908," ","integrate(x^8/(x^6-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{x^{6} - 1} x^{3} - \frac{1}{6} \, \log\left(-x^{3} + \sqrt{x^{6} - 1}\right)"," ",0,"1/6*sqrt(x^6 - 1)*x^3 - 1/6*log(-x^3 + sqrt(x^6 - 1))","A",0
441,1,34,0,0.552452," ","integrate((x^6-1)^(1/2)/x^4,x, algorithm=""fricas"")","-\frac{x^{3} \log\left(-x^{3} + \sqrt{x^{6} - 1}\right) + x^{3} + \sqrt{x^{6} - 1}}{3 \, x^{3}}"," ",0,"-1/3*(x^3*log(-x^3 + sqrt(x^6 - 1)) + x^3 + sqrt(x^6 - 1))/x^3","A",0
442,1,29,0,0.507556," ","integrate(x^2*(x^6-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{x^{6} - 1} x^{3} + \frac{1}{6} \, \log\left(-x^{3} + \sqrt{x^{6} - 1}\right)"," ",0,"1/6*sqrt(x^6 - 1)*x^3 + 1/6*log(-x^3 + sqrt(x^6 - 1))","A",0
443,1,29,0,0.552214," ","integrate(x^8/(x^6+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{x^{6} + 1} x^{3} + \frac{1}{6} \, \log\left(-x^{3} + \sqrt{x^{6} + 1}\right)"," ",0,"1/6*sqrt(x^6 + 1)*x^3 + 1/6*log(-x^3 + sqrt(x^6 + 1))","A",0
444,1,34,0,0.571581," ","integrate((x^6+1)^(1/2)/x^4,x, algorithm=""fricas"")","-\frac{x^{3} \log\left(-x^{3} + \sqrt{x^{6} + 1}\right) + x^{3} + \sqrt{x^{6} + 1}}{3 \, x^{3}}"," ",0,"-1/3*(x^3*log(-x^3 + sqrt(x^6 + 1)) + x^3 + sqrt(x^6 + 1))/x^3","A",0
445,1,30,0,0.680681," ","integrate((x^6+1)/x^6/(x^3+1)/(x^4+x)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(53 \, x^{6} + 8 \, x^{3} - 3\right)} {\left(x^{4} + x\right)}^{\frac{3}{4}}}{63 \, {\left(x^{9} + x^{6}\right)}}"," ",0,"4/63*(53*x^6 + 8*x^3 - 3)*(x^4 + x)^(3/4)/(x^9 + x^6)","A",0
446,1,35,0,0.699377," ","integrate(x*(x^6+x)^(1/2),x, algorithm=""fricas"")","\frac{1}{5} \, \sqrt{x^{6} + x} x^{2} + \frac{1}{10} \, \log\left(2 \, x^{5} + 2 \, \sqrt{x^{6} + x} x^{2} + 1\right)"," ",0,"1/5*sqrt(x^6 + x)*x^2 + 1/10*log(2*x^5 + 2*sqrt(x^6 + x)*x^2 + 1)","A",0
447,-1,0,0,0.000000," ","integrate((a*c*x^6-2*b*c)/(a*x^6+b)^(1/4)/(-c^4*x^4+a*x^6+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
448,1,28,0,0.665692," ","integrate(1/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{2}{3} \, {\left(x^{2} - \sqrt{x^{2} + 1} x - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}}"," ",0,"-2/3*(x^2 - sqrt(x^2 + 1)*x - 1)*sqrt(x + sqrt(x^2 + 1))","A",0
449,1,44,0,0.648774," ","integrate((x^2+1)^(1/4)/x,x, algorithm=""fricas"")","2 \, {\left(x^{2} + 1\right)}^{\frac{1}{4}} - \arctan\left({\left(x^{2} + 1\right)}^{\frac{1}{4}}\right) - \frac{1}{2} \, \log\left({\left(x^{2} + 1\right)}^{\frac{1}{4}} + 1\right) + \frac{1}{2} \, \log\left({\left(x^{2} + 1\right)}^{\frac{1}{4}} - 1\right)"," ",0,"2*(x^2 + 1)^(1/4) - arctan((x^2 + 1)^(1/4)) - 1/2*log((x^2 + 1)^(1/4) + 1) + 1/2*log((x^2 + 1)^(1/4) - 1)","A",0
450,1,31,0,0.482585," ","integrate((x^3-1)^(1/2)/x^7,x, algorithm=""fricas"")","\frac{x^{6} \arctan\left(\sqrt{x^{3} - 1}\right) + \sqrt{x^{3} - 1} {\left(x^{3} - 2\right)}}{12 \, x^{6}}"," ",0,"1/12*(x^6*arctan(sqrt(x^3 - 1)) + sqrt(x^3 - 1)*(x^3 - 2))/x^6","A",0
451,1,159,0,0.569256," ","integrate((a*x^2-b)/(a*x^2+c*x+b)/(a*x^3+b*x)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-c} \log\left(\frac{a^{2} x^{4} - 6 \, a c x^{3} - 6 \, b c x + {\left(2 \, a b + c^{2}\right)} x^{2} + b^{2} - 4 \, \sqrt{a x^{3} + b x} {\left(a x^{2} - c x + b\right)} \sqrt{-c}}{a^{2} x^{4} + 2 \, a c x^{3} + 2 \, b c x + {\left(2 \, a b + c^{2}\right)} x^{2} + b^{2}}\right)}{2 \, c}, \frac{\arctan\left(\frac{\sqrt{a x^{3} + b x} {\left(a x^{2} - c x + b\right)} \sqrt{c}}{2 \, {\left(a c x^{3} + b c x\right)}}\right)}{\sqrt{c}}\right]"," ",0,"[-1/2*sqrt(-c)*log((a^2*x^4 - 6*a*c*x^3 - 6*b*c*x + (2*a*b + c^2)*x^2 + b^2 - 4*sqrt(a*x^3 + b*x)*(a*x^2 - c*x + b)*sqrt(-c))/(a^2*x^4 + 2*a*c*x^3 + 2*b*c*x + (2*a*b + c^2)*x^2 + b^2))/c, arctan(1/2*sqrt(a*x^3 + b*x)*(a*x^2 - c*x + b)*sqrt(c)/(a*c*x^3 + b*c*x))/sqrt(c)]","A",0
452,1,43,0,0.511328," ","integrate((-1+x)/(x^4-4*x^3+6*x^2-x-2)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(2 \, x^{3} - 6 \, x^{2} + 2 \, \sqrt{x^{4} - 4 \, x^{3} + 6 \, x^{2} - x - 2} {\left(x - 1\right)} + 6 \, x + 1\right)"," ",0,"1/3*log(2*x^3 - 6*x^2 + 2*sqrt(x^4 - 4*x^3 + 6*x^2 - x - 2)*(x - 1) + 6*x + 1)","A",0
453,1,31,0,0.463250," ","integrate((x^6-1)^(1/2)/x^13,x, algorithm=""fricas"")","\frac{x^{12} \arctan\left(\sqrt{x^{6} - 1}\right) + \sqrt{x^{6} - 1} {\left(x^{6} - 2\right)}}{24 \, x^{12}}"," ",0,"1/24*(x^12*arctan(sqrt(x^6 - 1)) + sqrt(x^6 - 1)*(x^6 - 2))/x^12","A",0
454,1,78,0,0.558512," ","integrate((2*x^4-2*x^2-1)/(x^4-3*x^2+2)/(x^6+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{8} \, \sqrt{2} \log\left(-\frac{17 \, x^{8} - 6 \, x^{6} + 13 \, x^{4} - 4 \, \sqrt{2} \sqrt{x^{6} + 1} {\left(3 \, x^{5} - x^{3} + 2 \, x\right)} + 4 \, x^{2} + 4}{x^{8} - 6 \, x^{6} + 13 \, x^{4} - 12 \, x^{2} + 4}\right)"," ",0,"1/8*sqrt(2)*log(-(17*x^8 - 6*x^6 + 13*x^4 - 4*sqrt(2)*sqrt(x^6 + 1)*(3*x^5 - x^3 + 2*x) + 4*x^2 + 4)/(x^8 - 6*x^6 + 13*x^4 - 12*x^2 + 4))","B",0
455,1,81,0,0.516912," ","integrate((k*x-1)/(k*x+1)/((1-x)*x*(-k^2*x+1))^(1/2),x, algorithm=""fricas"")","\frac{\arctan\left(\frac{\sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 2 \, {\left(k^{2} + k + 1\right)} x + 1\right)}}{2 \, {\left({\left(k^{3} + k^{2}\right)} x^{3} - {\left(k^{3} + k^{2} + k + 1\right)} x^{2} + {\left(k + 1\right)} x\right)}}\right)}{k + 1}"," ",0,"arctan(1/2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 2*(k^2 + k + 1)*x + 1)/((k^3 + k^2)*x^3 - (k^3 + k^2 + k + 1)*x^2 + (k + 1)*x))/(k + 1)","B",0
456,1,87,0,0.524165," ","integrate((k*x+1)/(k*x-1)/((1-x)*x*(-k^2*x+1))^(1/2),x, algorithm=""fricas"")","\frac{\arctan\left(\frac{\sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 2 \, {\left(k^{2} - k + 1\right)} x + 1\right)}}{2 \, {\left({\left(k^{3} - k^{2}\right)} x^{3} - {\left(k^{3} - k^{2} + k - 1\right)} x^{2} + {\left(k - 1\right)} x\right)}}\right)}{k - 1}"," ",0,"arctan(1/2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 2*(k^2 - k + 1)*x + 1)/((k^3 - k^2)*x^3 - (k^3 - k^2 + k - 1)*x^2 + (k - 1)*x))/(k - 1)","B",0
457,1,30,0,0.549083," ","integrate((x^2-1)*(x^4+1)^(1/2)/x^2/(x^2+1),x, algorithm=""fricas"")","\frac{\sqrt{2} x \arctan\left(\frac{\sqrt{2} x}{\sqrt{x^{4} + 1}}\right) + \sqrt{x^{4} + 1}}{x}"," ",0,"(sqrt(2)*x*arctan(sqrt(2)*x/sqrt(x^4 + 1)) + sqrt(x^4 + 1))/x","A",0
458,1,34,0,0.453827," ","integrate((x^3+1)/x^6/(x^3-1)/(x^4-x)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(20 \, x^{6} - 5 \, x^{3} - 1\right)} {\left(x^{4} - x\right)}^{\frac{3}{4}}}{21 \, {\left(x^{9} - x^{6}\right)}}"," ",0,"-4/21*(20*x^6 - 5*x^3 - 1)*(x^4 - x)^(3/4)/(x^9 - x^6)","A",0
459,1,35,0,0.520722," ","integrate((x^4-x)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{x^{4} - x} x + \frac{1}{6} \, \log\left(2 \, x^{3} - 2 \, \sqrt{x^{4} - x} x - 1\right)"," ",0,"1/3*sqrt(x^4 - x)*x + 1/6*log(2*x^3 - 2*sqrt(x^4 - x)*x - 1)","A",0
460,1,33,0,0.475868," ","integrate(1/x^8/(x^4-x^2)^(1/4),x, algorithm=""fricas"")","\frac{2 \, {\left(128 \, x^{6} + 96 \, x^{4} + 84 \, x^{2} + 77\right)} {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{1155 \, x^{9}}"," ",0,"2/1155*(128*x^6 + 96*x^4 + 84*x^2 + 77)*(x^4 - x^2)^(3/4)/x^9","A",0
461,1,31,0,0.513239," ","integrate((-1+x)/(x^4-4*x^3+2*x^2+4*x-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(x^{2} - 2 \, x + \sqrt{x^{4} - 4 \, x^{3} + 2 \, x^{2} + 4 \, x - 1} - 1\right)"," ",0,"1/2*log(x^2 - 2*x + sqrt(x^4 - 4*x^3 + 2*x^2 + 4*x - 1) - 1)","A",0
462,1,60,0,0.483030," ","integrate((x^4-x^3)^(1/4)/(-1+x)/x,x, algorithm=""fricas"")","2 \, \arctan\left(\frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \log\left(\frac{x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \log\left(-\frac{x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"2*arctan((x^4 - x^3)^(1/4)/x) + log((x + (x^4 - x^3)^(1/4))/x) - log(-(x - (x^4 - x^3)^(1/4))/x)","A",0
463,1,33,0,0.477322," ","integrate((x^3-2)/x/(x^6-1)^(1/2),x, algorithm=""fricas"")","-\frac{4}{3} \, \arctan\left(-x^{3} + \sqrt{x^{6} - 1}\right) - \frac{1}{3} \, \log\left(-x^{3} + \sqrt{x^{6} - 1}\right)"," ",0,"-4/3*arctan(-x^3 + sqrt(x^6 - 1)) - 1/3*log(-x^3 + sqrt(x^6 - 1))","A",0
464,1,33,0,0.480975," ","integrate((x^3+1)/x/(x^6-1)^(1/2),x, algorithm=""fricas"")","\frac{2}{3} \, \arctan\left(-x^{3} + \sqrt{x^{6} - 1}\right) - \frac{1}{3} \, \log\left(-x^{3} + \sqrt{x^{6} - 1}\right)"," ",0,"2/3*arctan(-x^3 + sqrt(x^6 - 1)) - 1/3*log(-x^3 + sqrt(x^6 - 1))","A",0
465,1,33,0,0.457594," ","integrate((2*x^3-1)/x/(x^6-1)^(1/2),x, algorithm=""fricas"")","-\frac{2}{3} \, \arctan\left(-x^{3} + \sqrt{x^{6} - 1}\right) - \frac{2}{3} \, \log\left(-x^{3} + \sqrt{x^{6} - 1}\right)"," ",0,"-2/3*arctan(-x^3 + sqrt(x^6 - 1)) - 2/3*log(-x^3 + sqrt(x^6 - 1))","A",0
466,1,33,0,0.480409," ","integrate((2*x^3+1)/x/(x^6-1)^(1/2),x, algorithm=""fricas"")","\frac{2}{3} \, \arctan\left(-x^{3} + \sqrt{x^{6} - 1}\right) - \frac{2}{3} \, \log\left(-x^{3} + \sqrt{x^{6} - 1}\right)"," ",0,"2/3*arctan(-x^3 + sqrt(x^6 - 1)) - 2/3*log(-x^3 + sqrt(x^6 - 1))","A",0
467,1,33,0,0.472568," ","integrate((4*x^3+1)/x/(x^6-1)^(1/2),x, algorithm=""fricas"")","\frac{2}{3} \, \arctan\left(-x^{3} + \sqrt{x^{6} - 1}\right) - \frac{4}{3} \, \log\left(-x^{3} + \sqrt{x^{6} - 1}\right)"," ",0,"2/3*arctan(-x^3 + sqrt(x^6 - 1)) - 4/3*log(-x^3 + sqrt(x^6 - 1))","A",0
468,1,34,0,0.471889," ","integrate((x^6+1)/x^6/(x^3-1)/(x^4-x)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(53 \, x^{6} - 8 \, x^{3} - 3\right)} {\left(x^{4} - x\right)}^{\frac{3}{4}}}{63 \, {\left(x^{9} - x^{6}\right)}}"," ",0,"-4/63*(53*x^6 - 8*x^3 - 3)*(x^4 - x)^(3/4)/(x^9 - x^6)","A",0
469,-1,0,0,0.000000," ","integrate(x*(5*a*x^3+8*b)/(a*x^3+b)^(1/4)/(x^8-a*x^3-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
470,1,26,0,0.459270," ","integrate((x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{2}{3} \, {\left(2 \, x - \sqrt{x^{2} + 1}\right)} \sqrt{x + \sqrt{x^{2} + 1}}"," ",0,"2/3*(2*x - sqrt(x^2 + 1))*sqrt(x + sqrt(x^2 + 1))","A",0
471,1,250,0,0.651546," ","integrate((a*b-x^2)/(x*(-a+x)*(-b+x))^(1/2)/(a*b-(a+b+d)*x+x^2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{a^{2} b^{2} - 2 \, {\left(a + b - 3 \, d\right)} x^{3} + x^{4} + {\left(a^{2} + 4 \, a b + b^{2} - 6 \, {\left(a + b\right)} d + d^{2}\right)} x^{2} + 4 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left(a b - {\left(a + b - d\right)} x + x^{2}\right)} \sqrt{d} - 2 \, {\left(a^{2} b + a b^{2} - 3 \, a b d\right)} x}{a^{2} b^{2} - 2 \, {\left(a + b + d\right)} x^{3} + x^{4} + {\left(a^{2} + 4 \, a b + b^{2} + 2 \, {\left(a + b\right)} d + d^{2}\right)} x^{2} - 2 \, {\left(a^{2} b + a b^{2} + a b d\right)} x}\right)}{2 \, \sqrt{d}}, -\frac{\sqrt{-d} \arctan\left(\frac{\sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left(a b - {\left(a + b - d\right)} x + x^{2}\right)} \sqrt{-d}}{2 \, {\left(a b d x - {\left(a + b\right)} d x^{2} + d x^{3}\right)}}\right)}{d}\right]"," ",0,"[1/2*log((a^2*b^2 - 2*(a + b - 3*d)*x^3 + x^4 + (a^2 + 4*a*b + b^2 - 6*(a + b)*d + d^2)*x^2 + 4*sqrt(a*b*x - (a + b)*x^2 + x^3)*(a*b - (a + b - d)*x + x^2)*sqrt(d) - 2*(a^2*b + a*b^2 - 3*a*b*d)*x)/(a^2*b^2 - 2*(a + b + d)*x^3 + x^4 + (a^2 + 4*a*b + b^2 + 2*(a + b)*d + d^2)*x^2 - 2*(a^2*b + a*b^2 + a*b*d)*x))/sqrt(d), -sqrt(-d)*arctan(1/2*sqrt(a*b*x - (a + b)*x^2 + x^3)*(a*b - (a + b - d)*x + x^2)*sqrt(-d)/(a*b*d*x - (a + b)*d*x^2 + d*x^3))/d]","B",0
472,1,299,0,0.862109," ","integrate((a*b-x^2)/(x*(-a+x)*(-b+x))^(1/2)/(a*b*d-(a*d+b*d+1)*x+d*x^2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{a^{2} b^{2} d^{2} + d^{2} x^{4} - 2 \, {\left({\left(a + b\right)} d^{2} - 3 \, d\right)} x^{3} + {\left({\left(a^{2} + 4 \, a b + b^{2}\right)} d^{2} - 6 \, {\left(a + b\right)} d + 1\right)} x^{2} + 4 \, {\left(a b d + d x^{2} - {\left({\left(a + b\right)} d - 1\right)} x\right)} \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} \sqrt{d} + 2 \, {\left(3 \, a b d - {\left(a^{2} b + a b^{2}\right)} d^{2}\right)} x}{a^{2} b^{2} d^{2} + d^{2} x^{4} - 2 \, {\left({\left(a + b\right)} d^{2} + d\right)} x^{3} + {\left({\left(a^{2} + 4 \, a b + b^{2}\right)} d^{2} + 2 \, {\left(a + b\right)} d + 1\right)} x^{2} - 2 \, {\left(a b d + {\left(a^{2} b + a b^{2}\right)} d^{2}\right)} x}\right)}{2 \, \sqrt{d}}, -\frac{\sqrt{-d} \arctan\left(\frac{{\left(a b d + d x^{2} - {\left({\left(a + b\right)} d - 1\right)} x\right)} \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} \sqrt{-d}}{2 \, {\left(a b d x - {\left(a + b\right)} d x^{2} + d x^{3}\right)}}\right)}{d}\right]"," ",0,"[1/2*log((a^2*b^2*d^2 + d^2*x^4 - 2*((a + b)*d^2 - 3*d)*x^3 + ((a^2 + 4*a*b + b^2)*d^2 - 6*(a + b)*d + 1)*x^2 + 4*(a*b*d + d*x^2 - ((a + b)*d - 1)*x)*sqrt(a*b*x - (a + b)*x^2 + x^3)*sqrt(d) + 2*(3*a*b*d - (a^2*b + a*b^2)*d^2)*x)/(a^2*b^2*d^2 + d^2*x^4 - 2*((a + b)*d^2 + d)*x^3 + ((a^2 + 4*a*b + b^2)*d^2 + 2*(a + b)*d + 1)*x^2 - 2*(a*b*d + (a^2*b + a*b^2)*d^2)*x))/sqrt(d), -sqrt(-d)*arctan(1/2*(a*b*d + d*x^2 - ((a + b)*d - 1)*x)*sqrt(a*b*x - (a + b)*x^2 + x^3)*sqrt(-d)/(a*b*d*x - (a + b)*d*x^2 + d*x^3))/d]","B",0
473,1,37,0,0.522319," ","integrate((k*x^2-1)/(k*x^2+1)/((-x^2+1)*(-k^2*x^2+1))^(1/2),x, algorithm=""fricas"")","\frac{\arctan\left(\frac{\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1}}{{\left(k + 1\right)} x}\right)}{k + 1}"," ",0,"arctan(sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)/((k + 1)*x))/(k + 1)","A",0
474,1,37,0,0.524434," ","integrate((k*x^2+1)/(k*x^2-1)/((-x^2+1)*(-k^2*x^2+1))^(1/2),x, algorithm=""fricas"")","\frac{\arctan\left(\frac{\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1}}{{\left(k - 1\right)} x}\right)}{k - 1}"," ",0,"arctan(sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)/((k - 1)*x))/(k - 1)","A",0
475,1,36,0,0.471559," ","integrate((k^2*x^2-2*k^2*x+1)/x/((1-x)*x*(-k^2*x+1))^(1/2)/(k^2*x-1),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x}}{k^{2} x^{2} - x}"," ",0,"-2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)/(k^2*x^2 - x)","A",0
476,1,34,0,0.458200," ","integrate(1/x^7/(x^3-1)^(1/2),x, algorithm=""fricas"")","\frac{3 \, x^{6} \arctan\left(\sqrt{x^{3} - 1}\right) + {\left(3 \, x^{3} + 2\right)} \sqrt{x^{3} - 1}}{12 \, x^{6}}"," ",0,"1/12*(3*x^6*arctan(sqrt(x^3 - 1)) + (3*x^3 + 2)*sqrt(x^3 - 1))/x^6","A",0
477,1,52,0,0.452832," ","integrate(1/x^7/(x^3+1)^(1/2),x, algorithm=""fricas"")","-\frac{3 \, x^{6} \log\left(\sqrt{x^{3} + 1} + 1\right) - 3 \, x^{6} \log\left(\sqrt{x^{3} + 1} - 1\right) - 2 \, {\left(3 \, x^{3} - 2\right)} \sqrt{x^{3} + 1}}{24 \, x^{6}}"," ",0,"-1/24*(3*x^6*log(sqrt(x^3 + 1) + 1) - 3*x^6*log(sqrt(x^3 + 1) - 1) - 2*(3*x^3 - 2)*sqrt(x^3 + 1))/x^6","A",0
478,1,49,0,0.445979," ","integrate((x^3+1)^(1/2)/x^7,x, algorithm=""fricas"")","\frac{x^{6} \log\left(\sqrt{x^{3} + 1} + 1\right) - x^{6} \log\left(\sqrt{x^{3} + 1} - 1\right) - 2 \, {\left(x^{3} + 2\right)} \sqrt{x^{3} + 1}}{24 \, x^{6}}"," ",0,"1/24*(x^6*log(sqrt(x^3 + 1) + 1) - x^6*log(sqrt(x^3 + 1) - 1) - 2*(x^3 + 2)*sqrt(x^3 + 1))/x^6","A",0
479,1,34,0,0.459939," ","integrate((x^3+1)/x^7/(x^3-1)^(1/2),x, algorithm=""fricas"")","\frac{7 \, x^{6} \arctan\left(\sqrt{x^{3} - 1}\right) + {\left(7 \, x^{3} + 2\right)} \sqrt{x^{3} - 1}}{12 \, x^{6}}"," ",0,"1/12*(7*x^6*arctan(sqrt(x^3 - 1)) + (7*x^3 + 2)*sqrt(x^3 - 1))/x^6","A",0
480,1,99,0,0.582689," ","integrate((x^3-1)^(1/2)*(x^3+2)/x^2/(2*x^3-4*x^2-2),x, algorithm=""fricas"")","\frac{\sqrt{2} x \log\left(-\frac{x^{6} + 12 \, x^{5} + 4 \, x^{4} - 2 \, x^{3} - 4 \, \sqrt{2} {\left(x^{4} + 2 \, x^{3} - x\right)} \sqrt{x^{3} - 1} - 12 \, x^{2} + 1}{x^{6} - 4 \, x^{5} + 4 \, x^{4} - 2 \, x^{3} + 4 \, x^{2} + 1}\right) + 4 \, \sqrt{x^{3} - 1}}{4 \, x}"," ",0,"1/4*(sqrt(2)*x*log(-(x^6 + 12*x^5 + 4*x^4 - 2*x^3 - 4*sqrt(2)*(x^4 + 2*x^3 - x)*sqrt(x^3 - 1) - 12*x^2 + 1)/(x^6 - 4*x^5 + 4*x^4 - 2*x^3 + 4*x^2 + 1)) + 4*sqrt(x^3 - 1))/x","B",0
481,1,34,0,0.446946," ","integrate(x^5*(a*x^3+b)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, a^{2} x^{6} + a b x^{3} - 2 \, b^{2}\right)} \sqrt{a x^{3} + b}}{45 \, a^{2}}"," ",0,"2/45*(3*a^2*x^6 + a*b*x^3 - 2*b^2)*sqrt(a*x^3 + b)/a^2","A",0
482,1,34,0,0.457915," ","integrate((x^4-3)*(x^4+1)^(1/3)*(x^4+x^3+1)/x^8,x, algorithm=""fricas"")","\frac{3 \, {\left(4 \, x^{8} + 7 \, x^{7} + 8 \, x^{4} + 7 \, x^{3} + 4\right)} {\left(x^{4} + 1\right)}^{\frac{1}{3}}}{28 \, x^{7}}"," ",0,"3/28*(4*x^8 + 7*x^7 + 8*x^4 + 7*x^3 + 4)*(x^4 + 1)^(1/3)/x^7","A",0
483,1,34,0,0.461811," ","integrate((x^4-3)*(x^4+1)^(2/3)*(x^4+x^3+1)/x^9,x, algorithm=""fricas"")","\frac{3 \, {\left(5 \, x^{8} + 8 \, x^{7} + 10 \, x^{4} + 8 \, x^{3} + 5\right)} {\left(x^{4} + 1\right)}^{\frac{2}{3}}}{40 \, x^{8}}"," ",0,"3/40*(5*x^8 + 8*x^7 + 10*x^4 + 8*x^3 + 5)*(x^4 + 1)^(2/3)/x^8","A",0
484,1,34,0,0.445108," ","integrate((x^4-1)^(2/3)*(x^4+3)*(2*x^4-x^3-2)/x^9,x, algorithm=""fricas"")","\frac{3 \, {\left(5 \, x^{8} - 4 \, x^{7} - 10 \, x^{4} + 4 \, x^{3} + 5\right)} {\left(x^{4} - 1\right)}^{\frac{2}{3}}}{20 \, x^{8}}"," ",0,"3/20*(5*x^8 - 4*x^7 - 10*x^4 + 4*x^3 + 5)*(x^4 - 1)^(2/3)/x^8","A",0
485,1,34,0,0.478019," ","integrate((x^5-1)^(3/4)*(x^5+4)*(x^5-x^4-1)/x^12,x, algorithm=""fricas"")","\frac{4 \, {\left(7 \, x^{10} - 11 \, x^{9} - 14 \, x^{5} + 11 \, x^{4} + 7\right)} {\left(x^{5} - 1\right)}^{\frac{3}{4}}}{77 \, x^{11}}"," ",0,"4/77*(7*x^10 - 11*x^9 - 14*x^5 + 11*x^4 + 7)*(x^5 - 1)^(3/4)/x^11","A",0
486,1,34,0,0.466758," ","integrate((x^5+1)^(2/3)*(x^5+x^3+1)*(2*x^5-3)/x^9,x, algorithm=""fricas"")","\frac{3 \, {\left(5 \, x^{10} + 8 \, x^{8} + 10 \, x^{5} + 8 \, x^{3} + 5\right)} {\left(x^{5} + 1\right)}^{\frac{2}{3}}}{40 \, x^{8}}"," ",0,"3/40*(5*x^10 + 8*x^8 + 10*x^5 + 8*x^3 + 5)*(x^5 + 1)^(2/3)/x^8","A",0
487,1,34,0,0.460439," ","integrate((x^5-1)^(2/3)*(x^5+x^3-1)*(2*x^5+3)/x^9,x, algorithm=""fricas"")","\frac{3 \, {\left(5 \, x^{10} + 8 \, x^{8} - 10 \, x^{5} - 8 \, x^{3} + 5\right)} {\left(x^{5} - 1\right)}^{\frac{2}{3}}}{40 \, x^{8}}"," ",0,"3/40*(5*x^10 + 8*x^8 - 10*x^5 - 8*x^3 + 5)*(x^5 - 1)^(2/3)/x^8","A",0
488,1,34,0,0.483322," ","integrate((x^5-4)*(x^5+1)^(3/4)*(2*x^5-x^4+2)/x^12,x, algorithm=""fricas"")","\frac{4 \, {\left(14 \, x^{10} - 11 \, x^{9} + 28 \, x^{5} - 11 \, x^{4} + 14\right)} {\left(x^{5} + 1\right)}^{\frac{3}{4}}}{77 \, x^{11}}"," ",0,"4/77*(14*x^10 - 11*x^9 + 28*x^5 - 11*x^4 + 14)*(x^5 + 1)^(3/4)/x^11","A",0
489,1,34,0,0.467864," ","integrate((x^5+1)^(2/3)*(2*x^5-3)*(4*x^5+3*x^3+4)/x^9,x, algorithm=""fricas"")","\frac{3 \, {\left(5 \, x^{10} + 6 \, x^{8} + 10 \, x^{5} + 6 \, x^{3} + 5\right)} {\left(x^{5} + 1\right)}^{\frac{2}{3}}}{10 \, x^{8}}"," ",0,"3/10*(5*x^10 + 6*x^8 + 10*x^5 + 6*x^3 + 5)*(x^5 + 1)^(2/3)/x^8","A",0
490,1,34,0,0.446950," ","integrate(1/x^13/(x^6-1)^(1/2),x, algorithm=""fricas"")","\frac{3 \, x^{12} \arctan\left(\sqrt{x^{6} - 1}\right) + {\left(3 \, x^{6} + 2\right)} \sqrt{x^{6} - 1}}{24 \, x^{12}}"," ",0,"1/24*(3*x^12*arctan(sqrt(x^6 - 1)) + (3*x^6 + 2)*sqrt(x^6 - 1))/x^12","A",0
491,1,52,0,0.448452," ","integrate((x^6-1)/x^13/(x^6+1)^(1/2),x, algorithm=""fricas"")","\frac{7 \, x^{12} \log\left(\sqrt{x^{6} + 1} + 1\right) - 7 \, x^{12} \log\left(\sqrt{x^{6} + 1} - 1\right) - 2 \, {\left(7 \, x^{6} - 2\right)} \sqrt{x^{6} + 1}}{48 \, x^{12}}"," ",0,"1/48*(7*x^12*log(sqrt(x^6 + 1) + 1) - 7*x^12*log(sqrt(x^6 + 1) - 1) - 2*(7*x^6 - 2)*sqrt(x^6 + 1))/x^12","A",0
492,1,49,0,0.462613," ","integrate((x^6+1)^(1/2)/x^13,x, algorithm=""fricas"")","\frac{x^{12} \log\left(\sqrt{x^{6} + 1} + 1\right) - x^{12} \log\left(\sqrt{x^{6} + 1} - 1\right) - 2 \, {\left(x^{6} + 2\right)} \sqrt{x^{6} + 1}}{48 \, x^{12}}"," ",0,"1/48*(x^12*log(sqrt(x^6 + 1) + 1) - x^12*log(sqrt(x^6 + 1) - 1) - 2*(x^6 + 2)*sqrt(x^6 + 1))/x^12","A",0
493,1,34,0,0.450482," ","integrate((x^6+1)/x^13/(x^6-1)^(1/2),x, algorithm=""fricas"")","\frac{7 \, x^{12} \arctan\left(\sqrt{x^{6} - 1}\right) + {\left(7 \, x^{6} + 2\right)} \sqrt{x^{6} - 1}}{24 \, x^{12}}"," ",0,"1/24*(7*x^12*arctan(sqrt(x^6 - 1)) + (7*x^6 + 2)*sqrt(x^6 - 1))/x^12","A",0
494,1,34,0,0.461356," ","integrate((x^6-1)^(1/3)*(x^6+1)*(x^6+x^3-1)/x^8,x, algorithm=""fricas"")","\frac{{\left(4 \, x^{12} + 7 \, x^{9} - 8 \, x^{6} - 7 \, x^{3} + 4\right)} {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{28 \, x^{7}}"," ",0,"1/28*(4*x^12 + 7*x^9 - 8*x^6 - 7*x^3 + 4)*(x^6 - 1)^(1/3)/x^7","A",0
495,1,34,0,0.491659," ","integrate((x^6-1)^(3/4)*(x^6+2)*(x^6-x^4-1)/x^12,x, algorithm=""fricas"")","\frac{2 \, {\left(7 \, x^{12} - 11 \, x^{10} - 14 \, x^{6} + 11 \, x^{4} + 7\right)} {\left(x^{6} - 1\right)}^{\frac{3}{4}}}{77 \, x^{11}}"," ",0,"2/77*(7*x^12 - 11*x^10 - 14*x^6 + 11*x^4 + 7)*(x^6 - 1)^(3/4)/x^11","A",0
496,1,34,0,0.473923," ","integrate((x^6-2)*(x^6+1)^(3/4)*(x^6-x^4+1)/x^12,x, algorithm=""fricas"")","\frac{2 \, {\left(7 \, x^{12} - 11 \, x^{10} + 14 \, x^{6} - 11 \, x^{4} + 7\right)} {\left(x^{6} + 1\right)}^{\frac{3}{4}}}{77 \, x^{11}}"," ",0,"2/77*(7*x^12 - 11*x^10 + 14*x^6 - 11*x^4 + 7)*(x^6 + 1)^(3/4)/x^11","A",0
497,1,36,0,0.498991," ","integrate((3*x^2-2*x)/(x^6-2*x^5+x^4+4*x^3-4*x^2+5)^(1/2),x, algorithm=""fricas"")","\log\left(x^{3} - x^{2} + \sqrt{x^{6} - 2 \, x^{5} + x^{4} + 4 \, x^{3} - 4 \, x^{2} + 5} + 2\right)"," ",0,"log(x^3 - x^2 + sqrt(x^6 - 2*x^5 + x^4 + 4*x^3 - 4*x^2 + 5) + 2)","A",0
498,1,29,0,0.452127," ","integrate((5*x^6-2)/x/(x^6-1)^(1/2)/(x^6+2),x, algorithm=""fricas"")","\frac{2}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} \sqrt{x^{6} - 1}\right) - \frac{1}{3} \, \arctan\left(\sqrt{x^{6} - 1}\right)"," ",0,"2/3*sqrt(3)*arctan(1/3*sqrt(3)*sqrt(x^6 - 1)) - 1/3*arctan(sqrt(x^6 - 1))","A",0
499,1,29,0,0.466184," ","integrate((10*x^6-1)/x/(x^6-1)^(1/2)/(4*x^6-1),x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} \sqrt{x^{6} - 1}\right) + \frac{1}{3} \, \arctan\left(\sqrt{x^{6} - 1}\right)"," ",0,"1/3*sqrt(3)*arctan(2/3*sqrt(3)*sqrt(x^6 - 1)) + 1/3*arctan(sqrt(x^6 - 1))","A",0
500,1,77,0,1.146025," ","integrate((x^2+x+2)/x^2/(x^2+1)^(3/4),x, algorithm=""fricas"")","\frac{x \arctan\left(\frac{2 \, {\left({\left(x^{2} + 1\right)}^{\frac{3}{4}} + {\left(x^{2} + 1\right)}^{\frac{1}{4}}\right)}}{x^{2}}\right) + x \log\left(\frac{x^{2} - 2 \, {\left(x^{2} + 1\right)}^{\frac{3}{4}} + 2 \, \sqrt{x^{2} + 1} - 2 \, {\left(x^{2} + 1\right)}^{\frac{1}{4}} + 2}{x^{2}}\right) - 4 \, {\left(x^{2} + 1\right)}^{\frac{1}{4}}}{2 \, x}"," ",0,"1/2*(x*arctan(2*((x^2 + 1)^(3/4) + (x^2 + 1)^(1/4))/x^2) + x*log((x^2 - 2*(x^2 + 1)^(3/4) + 2*sqrt(x^2 + 1) - 2*(x^2 + 1)^(1/4) + 2)/x^2) - 4*(x^2 + 1)^(1/4))/x","B",0
501,1,93,0,7.784401," ","integrate((-3+2*x)/(x^2-x)^(1/4)/(x^3-x+1),x, algorithm=""fricas"")","\arctan\left(\frac{2 \, {\left({\left(x^{2} - x\right)}^{\frac{1}{4}} x^{2} + {\left(x^{2} - x\right)}^{\frac{3}{4}}\right)}}{x^{3} - x + 1}\right) + \log\left(-\frac{x^{3} - 2 \, {\left(x^{2} - x\right)}^{\frac{1}{4}} x^{2} + 2 \, \sqrt{x^{2} - x} x + x - 2 \, {\left(x^{2} - x\right)}^{\frac{3}{4}} - 1}{x^{3} - x + 1}\right)"," ",0,"arctan(2*((x^2 - x)^(1/4)*x^2 + (x^2 - x)^(3/4))/(x^3 - x + 1)) + log(-(x^3 - 2*(x^2 - x)^(1/4)*x^2 + 2*sqrt(x^2 - x)*x + x - 2*(x^2 - x)^(3/4) - 1)/(x^3 - x + 1))","B",0
502,1,45,0,0.467959," ","integrate((x^2-1)*(x^3+x)^(1/2)/(x^2+1)/(x^2+x+1)^2,x, algorithm=""fricas"")","\frac{{\left(x^{2} + x + 1\right)} \arctan\left(\frac{x^{2} - x + 1}{2 \, \sqrt{x^{3} + x}}\right) + 2 \, \sqrt{x^{3} + x}}{2 \, {\left(x^{2} + x + 1\right)}}"," ",0,"1/2*((x^2 + x + 1)*arctan(1/2*(x^2 - x + 1)/sqrt(x^3 + x)) + 2*sqrt(x^3 + x))/(x^2 + x + 1)","A",0
503,1,66,0,0.484572," ","integrate((x^3-2)*(2*x^3+x^2+2)^(1/2)/(x^3+1)/(x^3+x^2+1),x, algorithm=""fricas"")","\arctan\left(\frac{\sqrt{2 \, x^{3} + x^{2} + 2} {\left(x^{3} + 1\right)}}{2 \, x^{4} + x^{3} + 2 \, x}\right) + \log\left(\frac{x^{3} + x^{2} - \sqrt{2 \, x^{3} + x^{2} + 2} x + 1}{x^{3} + 1}\right)"," ",0,"arctan(sqrt(2*x^3 + x^2 + 2)*(x^3 + 1)/(2*x^4 + x^3 + 2*x)) + log((x^3 + x^2 - sqrt(2*x^3 + x^2 + 2)*x + 1)/(x^3 + 1))","A",0
504,1,172,0,0.529533," ","integrate((a*x^2+b)/(a*x^2+c*x-b)/(a*x^3-b*x)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-c} \log\left(\frac{a^{2} x^{4} - 6 \, a c x^{3} + 6 \, b c x - {\left(2 \, a b - c^{2}\right)} x^{2} + b^{2} - 4 \, \sqrt{a x^{3} - b x} {\left(a x^{2} - c x - b\right)} \sqrt{-c}}{a^{2} x^{4} + 2 \, a c x^{3} - 2 \, b c x - {\left(2 \, a b - c^{2}\right)} x^{2} + b^{2}}\right)}{2 \, c}, \frac{\arctan\left(\frac{\sqrt{a x^{3} - b x} {\left(a x^{2} - c x - b\right)} \sqrt{c}}{2 \, {\left(a c x^{3} - b c x\right)}}\right)}{\sqrt{c}}\right]"," ",0,"[-1/2*sqrt(-c)*log((a^2*x^4 - 6*a*c*x^3 + 6*b*c*x - (2*a*b - c^2)*x^2 + b^2 - 4*sqrt(a*x^3 - b*x)*(a*x^2 - c*x - b)*sqrt(-c))/(a^2*x^4 + 2*a*c*x^3 - 2*b*c*x - (2*a*b - c^2)*x^2 + b^2))/c, arctan(1/2*sqrt(a*x^3 - b*x)*(a*x^2 - c*x - b)*sqrt(c)/(a*c*x^3 - b*c*x))/sqrt(c)]","A",0
505,1,29,0,0.430041," ","integrate(x*(x^4-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{x^{4} - 1} x^{2} + \frac{1}{4} \, \log\left(-x^{2} + \sqrt{x^{4} - 1}\right)"," ",0,"1/4*sqrt(x^4 - 1)*x^2 + 1/4*log(-x^2 + sqrt(x^4 - 1))","A",0
506,1,41,0,0.493237," ","integrate((x^4-x)^(1/2)/x^3,x, algorithm=""fricas"")","\frac{x^{2} \log\left(-2 \, x^{3} - 2 \, \sqrt{x^{4} - x} x + 1\right) - 2 \, \sqrt{x^{4} - x}}{3 \, x^{2}}"," ",0,"1/3*(x^2*log(-2*x^3 - 2*sqrt(x^4 - x)*x + 1) - 2*sqrt(x^4 - x))/x^2","A",0
507,1,37,0,0.498537," ","integrate(x^3*(x^4+x)^(1/2),x, algorithm=""fricas"")","\frac{1}{12} \, {\left(2 \, x^{4} + x\right)} \sqrt{x^{4} + x} + \frac{1}{24} \, \log\left(2 \, x^{3} - 2 \, \sqrt{x^{4} + x} x + 1\right)"," ",0,"1/12*(2*x^4 + x)*sqrt(x^4 + x) + 1/24*log(2*x^3 - 2*sqrt(x^4 + x)*x + 1)","A",0
508,1,35,0,0.485263," ","integrate((1+x)/(x^4+4*x^3+13*x^2+18*x+16)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(2 \, x^{2} + 4 \, x + 2 \, \sqrt{x^{4} + 4 \, x^{3} + 13 \, x^{2} + 18 \, x + 16} + 9\right)"," ",0,"1/2*log(2*x^2 + 4*x + 2*sqrt(x^4 + 4*x^3 + 13*x^2 + 18*x + 16) + 9)","A",0
509,1,157,0,2.960362," ","integrate((x^5-1)^(1/2)*(3*x^5+2)/x^2/(x^5-a*x^2-1),x, algorithm=""fricas"")","\left[\frac{\sqrt{a} x \log\left(-\frac{x^{10} + 6 \, a x^{7} + a^{2} x^{4} - 2 \, x^{5} - 6 \, a x^{2} - 4 \, {\left(x^{6} + a x^{3} - x\right)} \sqrt{x^{5} - 1} \sqrt{a} + 1}{x^{10} - 2 \, a x^{7} + a^{2} x^{4} - 2 \, x^{5} + 2 \, a x^{2} + 1}\right) + 4 \, \sqrt{x^{5} - 1}}{2 \, x}, \frac{\sqrt{-a} x \arctan\left(\frac{2 \, \sqrt{x^{5} - 1} \sqrt{-a} x}{x^{5} + a x^{2} - 1}\right) + 2 \, \sqrt{x^{5} - 1}}{x}\right]"," ",0,"[1/2*(sqrt(a)*x*log(-(x^10 + 6*a*x^7 + a^2*x^4 - 2*x^5 - 6*a*x^2 - 4*(x^6 + a*x^3 - x)*sqrt(x^5 - 1)*sqrt(a) + 1)/(x^10 - 2*a*x^7 + a^2*x^4 - 2*x^5 + 2*a*x^2 + 1)) + 4*sqrt(x^5 - 1))/x, (sqrt(-a)*x*arctan(2*sqrt(x^5 - 1)*sqrt(-a)*x/(x^5 + a*x^2 - 1)) + 2*sqrt(x^5 - 1))/x]","A",0
510,1,39,0,0.504413," ","integrate(x*(x^6-x)^(1/2),x, algorithm=""fricas"")","\frac{1}{5} \, \sqrt{x^{6} - x} x^{2} + \frac{1}{10} \, \log\left(-2 \, x^{5} + 2 \, \sqrt{x^{6} - x} x^{2} + 1\right)"," ",0,"1/5*sqrt(x^6 - x)*x^2 + 1/10*log(-2*x^5 + 2*sqrt(x^6 - x)*x^2 + 1)","A",0
511,1,146,0,3.978777," ","integrate((x^5+1)*(4*x^5-1)/x/(x^5-a*x+1)/(x^6+x)^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{a} x \log\left(-\frac{x^{10} + 6 \, a x^{6} + 2 \, x^{5} + a^{2} x^{2} - 4 \, \sqrt{x^{6} + x} {\left(x^{5} + a x + 1\right)} \sqrt{a} + 6 \, a x + 1}{x^{10} - 2 \, a x^{6} + 2 \, x^{5} + a^{2} x^{2} - 2 \, a x + 1}\right) + 4 \, \sqrt{x^{6} + x}}{2 \, x}, \frac{\sqrt{-a} x \arctan\left(\frac{2 \, \sqrt{x^{6} + x} \sqrt{-a}}{x^{5} + a x + 1}\right) + 2 \, \sqrt{x^{6} + x}}{x}\right]"," ",0,"[1/2*(sqrt(a)*x*log(-(x^10 + 6*a*x^6 + 2*x^5 + a^2*x^2 - 4*sqrt(x^6 + x)*(x^5 + a*x + 1)*sqrt(a) + 6*a*x + 1)/(x^10 - 2*a*x^6 + 2*x^5 + a^2*x^2 - 2*a*x + 1)) + 4*sqrt(x^6 + x))/x, (sqrt(-a)*x*arctan(2*sqrt(x^6 + x)*sqrt(-a)/(x^5 + a*x + 1)) + 2*sqrt(x^6 + x))/x]","A",0
512,1,29,0,0.476405," ","integrate(1/(x-(x^2-1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{2}{3} \, {\left(x^{2} + \sqrt{x^{2} - 1} x + 1\right)} \sqrt{x - \sqrt{x^{2} - 1}}"," ",0,"2/3*(x^2 + sqrt(x^2 - 1)*x + 1)*sqrt(x - sqrt(x^2 - 1))","A",0
513,1,33,0,0.483918," ","integrate((x^2+1)/(x^2+2*x-1)/(x^3-x^2-x)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(x^{2} - 4 \, x - 1\right)}}{6 \, \sqrt{x^{3} - x^{2} - x}}\right)"," ",0,"1/3*sqrt(3)*arctan(1/6*sqrt(3)*(x^2 - 4*x - 1)/sqrt(x^3 - x^2 - x))","A",0
514,1,61,0,0.457440," ","integrate((x^3+2)*(x^3+x^2-1)^(1/2)/(x^3-1)^2,x, algorithm=""fricas"")","\frac{{\left(x^{3} - 1\right)} \log\left(\frac{x^{3} + 2 \, x^{2} - 2 \, \sqrt{x^{3} + x^{2} - 1} x - 1}{x^{3} - 1}\right) - 2 \, \sqrt{x^{3} + x^{2} - 1} x}{2 \, {\left(x^{3} - 1\right)}}"," ",0,"1/2*((x^3 - 1)*log((x^3 + 2*x^2 - 2*sqrt(x^3 + x^2 - 1)*x - 1)/(x^3 - 1)) - 2*sqrt(x^3 + x^2 - 1)*x)/(x^3 - 1)","A",0
515,1,64,0,0.470976," ","integrate((x^2+2)/(x^2-2)/(x^3+2*x^2-2*x)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(\frac{x^{4} + 16 \, x^{3} - 4 \, \sqrt{2} \sqrt{x^{3} + 2 \, x^{2} - 2 \, x} {\left(x^{2} + 4 \, x - 2\right)} + 28 \, x^{2} - 32 \, x + 4}{x^{4} - 4 \, x^{2} + 4}\right)"," ",0,"1/4*sqrt(2)*log((x^4 + 16*x^3 - 4*sqrt(2)*sqrt(x^3 + 2*x^2 - 2*x)*(x^2 + 4*x - 2) + 28*x^2 - 32*x + 4)/(x^4 - 4*x^2 + 4))","A",0
516,1,225,0,0.508265," ","integrate((2+x)/(-1+x)/(a*x^2+x^3+3*x-1)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{2 \, {\left(4 \, a + 9\right)} x^{5} + x^{6} + {\left(8 \, a^{2} + 24 \, a + 15\right)} x^{4} + 4 \, {\left(6 \, a + 13\right)} x^{3} - {\left(8 \, a + 9\right)} x^{2} - 4 \, {\left({\left(2 \, a + 3\right)} x^{3} + x^{4} + 3 \, x^{2} - x\right)} \sqrt{a x^{2} + x^{3} + 3 \, x - 1} \sqrt{a + 3} - 6 \, x + 1}{x^{6} - 6 \, x^{5} + 15 \, x^{4} - 20 \, x^{3} + 15 \, x^{2} - 6 \, x + 1}\right)}{2 \, \sqrt{a + 3}}, \frac{\sqrt{-a - 3} \arctan\left(\frac{{\left({\left(2 \, a + 3\right)} x^{2} + x^{3} + 3 \, x - 1\right)} \sqrt{a x^{2} + x^{3} + 3 \, x - 1} \sqrt{-a - 3}}{2 \, {\left({\left(a + 3\right)} x^{4} + {\left(a^{2} + 3 \, a\right)} x^{3} + 3 \, {\left(a + 3\right)} x^{2} - {\left(a + 3\right)} x\right)}}\right)}{a + 3}\right]"," ",0,"[1/2*log((2*(4*a + 9)*x^5 + x^6 + (8*a^2 + 24*a + 15)*x^4 + 4*(6*a + 13)*x^3 - (8*a + 9)*x^2 - 4*((2*a + 3)*x^3 + x^4 + 3*x^2 - x)*sqrt(a*x^2 + x^3 + 3*x - 1)*sqrt(a + 3) - 6*x + 1)/(x^6 - 6*x^5 + 15*x^4 - 20*x^3 + 15*x^2 - 6*x + 1))/sqrt(a + 3), sqrt(-a - 3)*arctan(1/2*((2*a + 3)*x^2 + x^3 + 3*x - 1)*sqrt(a*x^2 + x^3 + 3*x - 1)*sqrt(-a - 3)/((a + 3)*x^4 + (a^2 + 3*a)*x^3 + 3*(a + 3)*x^2 - (a + 3)*x))/(a + 3)]","B",0
517,1,221,0,0.526968," ","integrate((-2+x)/(1+x)/(a*x^2+x^3+3*x+1)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{2 \, {\left(4 \, a - 9\right)} x^{5} + x^{6} + {\left(8 \, a^{2} - 24 \, a + 15\right)} x^{4} + 4 \, {\left(6 \, a - 13\right)} x^{3} + {\left(8 \, a - 9\right)} x^{2} - 4 \, {\left({\left(2 \, a - 3\right)} x^{3} + x^{4} + 3 \, x^{2} + x\right)} \sqrt{a x^{2} + x^{3} + 3 \, x + 1} \sqrt{a - 3} + 6 \, x + 1}{x^{6} + 6 \, x^{5} + 15 \, x^{4} + 20 \, x^{3} + 15 \, x^{2} + 6 \, x + 1}\right)}{2 \, \sqrt{a - 3}}, \frac{\sqrt{-a + 3} \arctan\left(\frac{{\left({\left(2 \, a - 3\right)} x^{2} + x^{3} + 3 \, x + 1\right)} \sqrt{a x^{2} + x^{3} + 3 \, x + 1} \sqrt{-a + 3}}{2 \, {\left({\left(a - 3\right)} x^{4} + {\left(a^{2} - 3 \, a\right)} x^{3} + 3 \, {\left(a - 3\right)} x^{2} + {\left(a - 3\right)} x\right)}}\right)}{a - 3}\right]"," ",0,"[1/2*log((2*(4*a - 9)*x^5 + x^6 + (8*a^2 - 24*a + 15)*x^4 + 4*(6*a - 13)*x^3 + (8*a - 9)*x^2 - 4*((2*a - 3)*x^3 + x^4 + 3*x^2 + x)*sqrt(a*x^2 + x^3 + 3*x + 1)*sqrt(a - 3) + 6*x + 1)/(x^6 + 6*x^5 + 15*x^4 + 20*x^3 + 15*x^2 + 6*x + 1))/sqrt(a - 3), sqrt(-a + 3)*arctan(1/2*((2*a - 3)*x^2 + x^3 + 3*x + 1)*sqrt(a*x^2 + x^3 + 3*x + 1)*sqrt(-a + 3)/((a - 3)*x^4 + (a^2 - 3*a)*x^3 + 3*(a - 3)*x^2 + (a - 3)*x))/(a - 3)]","B",0
518,1,312,0,0.852469," ","integrate(x*(3*a*b-2*(a+b)*x+x^2)/(x*(-a+x)*(-b+x))^(1/2)/(-a*b*d+(a+b)*d*x-d*x^2+x^3),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{a^{2} b^{2} d^{2} + 6 \, d x^{5} + x^{6} + {\left(a^{2} + 4 \, a b + b^{2}\right)} d^{2} x^{2} - {\left(6 \, {\left(a + b\right)} d - d^{2}\right)} x^{4} - 2 \, {\left(a^{2} b + a b^{2}\right)} d^{2} x + 2 \, {\left(3 \, a b d - {\left(a + b\right)} d^{2}\right)} x^{3} - 4 \, {\left(a b d x - {\left(a + b\right)} d x^{2} + d x^{3} + x^{4}\right)} \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} \sqrt{d}}{a^{2} b^{2} d^{2} - 2 \, d x^{5} + x^{6} + {\left(a^{2} + 4 \, a b + b^{2}\right)} d^{2} x^{2} + {\left(2 \, {\left(a + b\right)} d + d^{2}\right)} x^{4} - 2 \, {\left(a^{2} b + a b^{2}\right)} d^{2} x - 2 \, {\left(a b d + {\left(a + b\right)} d^{2}\right)} x^{3}}\right)}{2 \, \sqrt{d}}, \frac{\sqrt{-d} \arctan\left(\frac{{\left(a b d - {\left(a + b\right)} d x + d x^{2} + x^{3}\right)} \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} \sqrt{-d}}{2 \, {\left(a b d x^{2} - {\left(a + b\right)} d x^{3} + d x^{4}\right)}}\right)}{d}\right]"," ",0,"[1/2*log((a^2*b^2*d^2 + 6*d*x^5 + x^6 + (a^2 + 4*a*b + b^2)*d^2*x^2 - (6*(a + b)*d - d^2)*x^4 - 2*(a^2*b + a*b^2)*d^2*x + 2*(3*a*b*d - (a + b)*d^2)*x^3 - 4*(a*b*d*x - (a + b)*d*x^2 + d*x^3 + x^4)*sqrt(a*b*x - (a + b)*x^2 + x^3)*sqrt(d))/(a^2*b^2*d^2 - 2*d*x^5 + x^6 + (a^2 + 4*a*b + b^2)*d^2*x^2 + (2*(a + b)*d + d^2)*x^4 - 2*(a^2*b + a*b^2)*d^2*x - 2*(a*b*d + (a + b)*d^2)*x^3))/sqrt(d), sqrt(-d)*arctan(1/2*(a*b*d - (a + b)*d*x + d*x^2 + x^3)*sqrt(a*b*x - (a + b)*x^2 + x^3)*sqrt(-d)/(a*b*d*x^2 - (a + b)*d*x^3 + d*x^4))/d]","B",0
519,1,285,0,1.774252," ","integrate((3*a*b*x-2*(a+b)*x^2+x^3)/(x*(-a+x)*(-b+x))^(1/2)/(-a*b+(a+b)*x-x^2+d*x^3),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{d^{2} x^{6} + 6 \, d x^{5} - {\left(6 \, {\left(a + b\right)} d - 1\right)} x^{4} + a^{2} b^{2} + 2 \, {\left(3 \, a b d - a - b\right)} x^{3} + {\left(a^{2} + 4 \, a b + b^{2}\right)} x^{2} - 4 \, {\left(d x^{4} + a b x - {\left(a + b\right)} x^{2} + x^{3}\right)} \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} \sqrt{d} - 2 \, {\left(a^{2} b + a b^{2}\right)} x}{d^{2} x^{6} - 2 \, d x^{5} + {\left(2 \, {\left(a + b\right)} d + 1\right)} x^{4} + a^{2} b^{2} - 2 \, {\left(a b d + a + b\right)} x^{3} + {\left(a^{2} + 4 \, a b + b^{2}\right)} x^{2} - 2 \, {\left(a^{2} b + a b^{2}\right)} x}\right)}{2 \, \sqrt{d}}, \frac{\sqrt{-d} \arctan\left(\frac{{\left(d x^{3} + a b - {\left(a + b\right)} x + x^{2}\right)} \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} \sqrt{-d}}{2 \, {\left(a b d x^{2} - {\left(a + b\right)} d x^{3} + d x^{4}\right)}}\right)}{d}\right]"," ",0,"[1/2*log((d^2*x^6 + 6*d*x^5 - (6*(a + b)*d - 1)*x^4 + a^2*b^2 + 2*(3*a*b*d - a - b)*x^3 + (a^2 + 4*a*b + b^2)*x^2 - 4*(d*x^4 + a*b*x - (a + b)*x^2 + x^3)*sqrt(a*b*x - (a + b)*x^2 + x^3)*sqrt(d) - 2*(a^2*b + a*b^2)*x)/(d^2*x^6 - 2*d*x^5 + (2*(a + b)*d + 1)*x^4 + a^2*b^2 - 2*(a*b*d + a + b)*x^3 + (a^2 + 4*a*b + b^2)*x^2 - 2*(a^2*b + a*b^2)*x))/sqrt(d), sqrt(-d)*arctan(1/2*(d*x^3 + a*b - (a + b)*x + x^2)*sqrt(a*b*x - (a + b)*x^2 + x^3)*sqrt(-d)/(a*b*d*x^2 - (a + b)*d*x^3 + d*x^4))/d]","B",0
520,1,34,0,0.456417," ","integrate((x^2-1)*((x^2+1)^2)^(1/2)/(x^2+1)/(x^4+1),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(\frac{x^{4} + 4 \, x^{2} - 2 \, \sqrt{2} {\left(x^{3} + x\right)} + 1}{x^{4} + 1}\right)"," ",0,"1/4*sqrt(2)*log((x^4 + 4*x^2 - 2*sqrt(2)*(x^3 + x) + 1)/(x^4 + 1))","A",0
521,1,40,0,0.454501," ","integrate((-1+x)/(x^4-12*x^3+14*x^2+4*x-7)^(1/2),x, algorithm=""fricas"")","-\log\left(-\frac{x^{2} - 6 \, x - \sqrt{x^{4} - 12 \, x^{3} + 14 \, x^{2} + 4 \, x - 7} + 5}{x - 1}\right)"," ",0,"-log(-(x^2 - 6*x - sqrt(x^4 - 12*x^3 + 14*x^2 + 4*x - 7) + 5)/(x - 1))","A",0
522,1,36,0,0.442147," ","integrate((k^2*x^4-2*k^2*x^2+1)/x^2/((-x^2+1)*(-k^2*x^2+1))^(1/2)/(k^2*x^2-1),x, algorithm=""fricas"")","-\frac{\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1}}{k^{2} x^{3} - x}"," ",0,"-sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)/(k^2*x^3 - x)","A",0
523,1,29,0,0.470043," ","integrate((x^6-2)/x/(x^6-1)^(1/2)/(x^6+2),x, algorithm=""fricas"")","\frac{2}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} \sqrt{x^{6} - 1}\right) - \frac{1}{3} \, \arctan\left(\sqrt{x^{6} - 1}\right)"," ",0,"2/9*sqrt(3)*arctan(1/3*sqrt(3)*sqrt(x^6 - 1)) - 1/3*arctan(sqrt(x^6 - 1))","A",0
524,1,46,0,0.447158," ","integrate((x^3+2)*(x^6+x^3+1)/x/(x^3+1)^(1/2),x, algorithm=""fricas"")","\frac{2}{45} \, {\left(3 \, x^{6} + 11 \, x^{3} + 23\right)} \sqrt{x^{3} + 1} - \frac{2}{3} \, \log\left(\sqrt{x^{3} + 1} + 1\right) + \frac{2}{3} \, \log\left(\sqrt{x^{3} + 1} - 1\right)"," ",0,"2/45*(3*x^6 + 11*x^3 + 23)*sqrt(x^3 + 1) - 2/3*log(sqrt(x^3 + 1) + 1) + 2/3*log(sqrt(x^3 + 1) - 1)","A",0
525,1,38,0,0.487470," ","integrate((3*x^2+4*x)/(x^6+4*x^5+4*x^4+2*x^3+4*x^2-5)^(1/2),x, algorithm=""fricas"")","\log\left(x^{3} + 2 \, x^{2} + \sqrt{x^{6} + 4 \, x^{5} + 4 \, x^{4} + 2 \, x^{3} + 4 \, x^{2} - 5} + 1\right)"," ",0,"log(x^3 + 2*x^2 + sqrt(x^6 + 4*x^5 + 4*x^4 + 2*x^3 + 4*x^2 - 5) + 1)","A",0
526,1,465,0,1.214418," ","integrate(x^2*(p*x^5+q)^(1/2)*(3*p*x^5-2*q)/(b*x^6+a*(p*x^5+q)^3),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a b} \log\left(\frac{a^{2} p^{6} x^{30} + 6 \, a^{2} p^{5} q x^{25} + 15 \, a^{2} p^{4} q^{2} x^{20} - 6 \, a b p^{3} x^{21} + 20 \, a^{2} p^{3} q^{3} x^{15} - 18 \, a b p^{2} q x^{16} + 15 \, a^{2} p^{2} q^{4} x^{10} - 18 \, a b p q^{2} x^{11} + b^{2} x^{12} + 6 \, a^{2} p q^{5} x^{5} - 6 \, a b q^{3} x^{6} + a^{2} q^{6} - 4 \, {\left(a p^{4} x^{23} + 4 \, a p^{3} q x^{18} + 6 \, a p^{2} q^{2} x^{13} - b p x^{14} + 4 \, a p q^{3} x^{8} - b q x^{9} + a q^{4} x^{3}\right)} \sqrt{p x^{5} + q} \sqrt{-a b}}{a^{2} p^{6} x^{30} + 6 \, a^{2} p^{5} q x^{25} + 15 \, a^{2} p^{4} q^{2} x^{20} + 2 \, a b p^{3} x^{21} + 20 \, a^{2} p^{3} q^{3} x^{15} + 6 \, a b p^{2} q x^{16} + 15 \, a^{2} p^{2} q^{4} x^{10} + 6 \, a b p q^{2} x^{11} + b^{2} x^{12} + 6 \, a^{2} p q^{5} x^{5} + 2 \, a b q^{3} x^{6} + a^{2} q^{6}}\right)}{6 \, a b}, \frac{\sqrt{a b} \arctan\left(\frac{{\left(a p^{3} x^{15} + 3 \, a p^{2} q x^{10} + 3 \, a p q^{2} x^{5} - b x^{6} + a q^{3}\right)} \sqrt{p x^{5} + q} \sqrt{a b}}{2 \, {\left(a b p^{2} x^{13} + 2 \, a b p q x^{8} + a b q^{2} x^{3}\right)}}\right)}{3 \, a b}\right]"," ",0,"[-1/6*sqrt(-a*b)*log((a^2*p^6*x^30 + 6*a^2*p^5*q*x^25 + 15*a^2*p^4*q^2*x^20 - 6*a*b*p^3*x^21 + 20*a^2*p^3*q^3*x^15 - 18*a*b*p^2*q*x^16 + 15*a^2*p^2*q^4*x^10 - 18*a*b*p*q^2*x^11 + b^2*x^12 + 6*a^2*p*q^5*x^5 - 6*a*b*q^3*x^6 + a^2*q^6 - 4*(a*p^4*x^23 + 4*a*p^3*q*x^18 + 6*a*p^2*q^2*x^13 - b*p*x^14 + 4*a*p*q^3*x^8 - b*q*x^9 + a*q^4*x^3)*sqrt(p*x^5 + q)*sqrt(-a*b))/(a^2*p^6*x^30 + 6*a^2*p^5*q*x^25 + 15*a^2*p^4*q^2*x^20 + 2*a*b*p^3*x^21 + 20*a^2*p^3*q^3*x^15 + 6*a*b*p^2*q*x^16 + 15*a^2*p^2*q^4*x^10 + 6*a*b*p*q^2*x^11 + b^2*x^12 + 6*a^2*p*q^5*x^5 + 2*a*b*q^3*x^6 + a^2*q^6))/(a*b), 1/3*sqrt(a*b)*arctan(1/2*(a*p^3*x^15 + 3*a*p^2*q*x^10 + 3*a*p*q^2*x^5 - b*x^6 + a*q^3)*sqrt(p*x^5 + q)*sqrt(a*b)/(a*b*p^2*x^13 + 2*a*b*p*q*x^8 + a*b*q^2*x^3))/(a*b)]","B",0
527,1,37,0,0.434313," ","integrate(x^8/(a*x^3-b)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, a^{2} x^{6} + 4 \, a b x^{3} + 8 \, b^{2}\right)} \sqrt{a x^{3} - b}}{45 \, a^{3}}"," ",0,"2/45*(3*a^2*x^6 + 4*a*b*x^3 + 8*b^2)*sqrt(a*x^3 - b)/a^3","A",0
528,1,37,0,0.447176," ","integrate(x^5*(a*x^3-b)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, a^{2} x^{6} - a b x^{3} - 2 \, b^{2}\right)} \sqrt{a x^{3} - b}}{45 \, a^{2}}"," ",0,"2/45*(3*a^2*x^6 - a*b*x^3 - 2*b^2)*sqrt(a*x^3 - b)/a^2","A",0
529,1,123,0,0.507283," ","integrate((a*x^3+2*b)/(a*x^3-b)^(1/2)/(2*a*x^3-3*x^2-2*b),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{3} \sqrt{2} \log\left(\frac{4 \, a^{2} x^{6} + 36 \, a x^{5} - 8 \, a b x^{3} + 9 \, x^{4} - 36 \, b x^{2} - 4 \, \sqrt{3} \sqrt{2} {\left(2 \, a x^{4} + 3 \, x^{3} - 2 \, b x\right)} \sqrt{a x^{3} - b} + 4 \, b^{2}}{4 \, a^{2} x^{6} - 12 \, a x^{5} - 8 \, a b x^{3} + 9 \, x^{4} + 12 \, b x^{2} + 4 \, b^{2}}\right)"," ",0,"1/12*sqrt(3)*sqrt(2)*log((4*a^2*x^6 + 36*a*x^5 - 8*a*b*x^3 + 9*x^4 - 36*b*x^2 - 4*sqrt(3)*sqrt(2)*(2*a*x^4 + 3*x^3 - 2*b*x)*sqrt(a*x^3 - b) + 4*b^2)/(4*a^2*x^6 - 12*a*x^5 - 8*a*b*x^3 + 9*x^4 + 12*b*x^2 + 4*b^2))","B",0
530,1,62,0,0.515342," ","integrate((x^4-1)*(x^4+1)^(1/2)*(x^4+x^2+1)/x^4/(x^4-x^2+1),x, algorithm=""fricas"")","\frac{3 \, x^{3} \log\left(-\frac{x^{4} + x^{2} - 2 \, \sqrt{x^{4} + 1} x + 1}{x^{4} - x^{2} + 1}\right) + {\left(x^{4} + 6 \, x^{2} + 1\right)} \sqrt{x^{4} + 1}}{3 \, x^{3}}"," ",0,"1/3*(3*x^3*log(-(x^4 + x^2 - 2*sqrt(x^4 + 1)*x + 1)/(x^4 - x^2 + 1)) + (x^4 + 6*x^2 + 1)*sqrt(x^4 + 1))/x^3","A",0
531,-1,0,0,0.000000," ","integrate((2*a*x^2+3*b*x+4*c)/(a*x^2+b*x+c)^(1/4)/(x^4-a*x^2-b*x-c),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
532,1,55,0,0.466829," ","integrate((x^3+2)*(x^6+x^3+1)/x^4/(x^3+1)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(3 \, x^{3} \log\left(\sqrt{x^{3} + 1} + 1\right) - 3 \, x^{3} \log\left(\sqrt{x^{3} + 1} - 1\right) - {\left(x^{6} + 7 \, x^{3} - 3\right)} \sqrt{x^{3} + 1}\right)}}{9 \, x^{3}}"," ",0,"-2/9*(3*x^3*log(sqrt(x^3 + 1) + 1) - 3*x^3*log(sqrt(x^3 + 1) - 1) - (x^6 + 7*x^3 - 3)*sqrt(x^3 + 1))/x^3","A",0
533,1,38,0,0.468164," ","integrate((x^3-1)^(1/2)*(2*x^6+x^3-2)/x^10,x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, x^{9} \arctan\left(\sqrt{x^{3} - 1}\right) - {\left(3 \, x^{6} + x^{3} - 1\right)} \sqrt{x^{3} - 1}\right)}}{9 \, x^{9}}"," ",0,"2/9*(3*x^9*arctan(sqrt(x^3 - 1)) - (3*x^6 + x^3 - 1)*sqrt(x^3 - 1))/x^9","A",0
534,1,29,0,0.646112," ","integrate((13*x^6-4)/x/(x^6-1)^(1/2)/(4*x^6-1),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} \sqrt{x^{6} - 1}\right) + \frac{4}{3} \, \arctan\left(\sqrt{x^{6} - 1}\right)"," ",0,"-1/6*sqrt(3)*arctan(2/3*sqrt(3)*sqrt(x^6 - 1)) + 4/3*arctan(sqrt(x^6 - 1))","A",0
535,-1,0,0,0.000000," ","integrate((2*a*x^3-b)/(a*x^3+b-x)/(a*x^6+b*x^3)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
536,-1,0,0,0.000000," ","integrate(x^3*(2*a*x^5+b)/(a*x^6+b*x)^(1/4)/(a*x^10+b*x^5-1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
537,1,44,0,0.573077," ","integrate((x^3+1)^(1/4)/x,x, algorithm=""fricas"")","\frac{4}{3} \, {\left(x^{3} + 1\right)}^{\frac{1}{4}} - \frac{2}{3} \, \arctan\left({\left(x^{3} + 1\right)}^{\frac{1}{4}}\right) - \frac{1}{3} \, \log\left({\left(x^{3} + 1\right)}^{\frac{1}{4}} + 1\right) + \frac{1}{3} \, \log\left({\left(x^{3} + 1\right)}^{\frac{1}{4}} - 1\right)"," ",0,"4/3*(x^3 + 1)^(1/4) - 2/3*arctan((x^3 + 1)^(1/4)) - 1/3*log((x^3 + 1)^(1/4) + 1) + 1/3*log((x^3 + 1)^(1/4) - 1)","A",0
538,1,459,0,1.680679," ","integrate((a*p*x^3+3*b*p*x^2-2*a*q)/(p*x^3+q)^(1/2)/(a^2*c*x^2+d*p*x^3+2*a*b*c*x+b^2*c+d*q),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-c d} \log\left(-\frac{6 \, a^{2} c d p x^{5} - d^{2} p^{2} x^{6} - b^{4} c^{2} + 6 \, b^{2} c d q - {\left(a^{4} c^{2} - 12 \, a b c d p\right)} x^{4} - d^{2} q^{2} - 2 \, {\left(2 \, a^{3} b c^{2} - 3 \, b^{2} c d p + d^{2} p q\right)} x^{3} - 6 \, {\left(a^{2} b^{2} c^{2} - a^{2} c d q\right)} x^{2} + 4 \, {\left(a d p x^{4} - 3 \, a^{2} b c x^{2} - b^{3} c - {\left(a^{3} c - b d p\right)} x^{3} + b d q - {\left(3 \, a b^{2} c - a d q\right)} x\right)} \sqrt{p x^{3} + q} \sqrt{-c d} - 4 \, {\left(a b^{3} c^{2} - 3 \, a b c d q\right)} x}{2 \, a^{2} c d p x^{5} + d^{2} p^{2} x^{6} + b^{4} c^{2} + 2 \, b^{2} c d q + {\left(a^{4} c^{2} + 4 \, a b c d p\right)} x^{4} + d^{2} q^{2} + 2 \, {\left(2 \, a^{3} b c^{2} + b^{2} c d p + d^{2} p q\right)} x^{3} + 2 \, {\left(3 \, a^{2} b^{2} c^{2} + a^{2} c d q\right)} x^{2} + 4 \, {\left(a b^{3} c^{2} + a b c d q\right)} x}\right)}{2 \, c d}, \frac{\sqrt{c d} \arctan\left(-\frac{{\left(a^{2} c x^{2} - d p x^{3} + 2 \, a b c x + b^{2} c - d q\right)} \sqrt{p x^{3} + q} \sqrt{c d}}{2 \, {\left(a c d p x^{4} + b c d p x^{3} + a c d q x + b c d q\right)}}\right)}{c d}\right]"," ",0,"[-1/2*sqrt(-c*d)*log(-(6*a^2*c*d*p*x^5 - d^2*p^2*x^6 - b^4*c^2 + 6*b^2*c*d*q - (a^4*c^2 - 12*a*b*c*d*p)*x^4 - d^2*q^2 - 2*(2*a^3*b*c^2 - 3*b^2*c*d*p + d^2*p*q)*x^3 - 6*(a^2*b^2*c^2 - a^2*c*d*q)*x^2 + 4*(a*d*p*x^4 - 3*a^2*b*c*x^2 - b^3*c - (a^3*c - b*d*p)*x^3 + b*d*q - (3*a*b^2*c - a*d*q)*x)*sqrt(p*x^3 + q)*sqrt(-c*d) - 4*(a*b^3*c^2 - 3*a*b*c*d*q)*x)/(2*a^2*c*d*p*x^5 + d^2*p^2*x^6 + b^4*c^2 + 2*b^2*c*d*q + (a^4*c^2 + 4*a*b*c*d*p)*x^4 + d^2*q^2 + 2*(2*a^3*b*c^2 + b^2*c*d*p + d^2*p*q)*x^3 + 2*(3*a^2*b^2*c^2 + a^2*c*d*q)*x^2 + 4*(a*b^3*c^2 + a*b*c*d*q)*x))/(c*d), sqrt(c*d)*arctan(-1/2*(a^2*c*x^2 - d*p*x^3 + 2*a*b*c*x + b^2*c - d*q)*sqrt(p*x^3 + q)*sqrt(c*d)/(a*c*d*p*x^4 + b*c*d*p*x^3 + a*c*d*q*x + b*c*d*q))/(c*d)]","B",0
539,1,46,0,0.475239," ","integrate((x^3-1)*(x^6-1)^(1/2)/x^7/(x^3+1),x, algorithm=""fricas"")","\frac{6 \, x^{6} \arctan\left(-x^{3} + \sqrt{x^{6} - 1}\right) - 4 \, x^{6} - \sqrt{x^{6} - 1} {\left(4 \, x^{3} - 1\right)}}{6 \, x^{6}}"," ",0,"1/6*(6*x^6*arctan(-x^3 + sqrt(x^6 - 1)) - 4*x^6 - sqrt(x^6 - 1)*(4*x^3 - 1))/x^6","A",0
540,1,45,0,0.659310," ","integrate((x^3+1)*(x^6-1)^(1/2)/x^7/(x^3-1),x, algorithm=""fricas"")","\frac{6 \, x^{6} \arctan\left(-x^{3} + \sqrt{x^{6} - 1}\right) + 4 \, x^{6} + \sqrt{x^{6} - 1} {\left(4 \, x^{3} + 1\right)}}{6 \, x^{6}}"," ",0,"1/6*(6*x^6*arctan(-x^3 + sqrt(x^6 - 1)) + 4*x^6 + sqrt(x^6 - 1)*(4*x^3 + 1))/x^6","A",0
541,1,44,0,0.530209," ","integrate((x^6+1)^(1/4)/x,x, algorithm=""fricas"")","\frac{2}{3} \, {\left(x^{6} + 1\right)}^{\frac{1}{4}} - \frac{1}{3} \, \arctan\left({\left(x^{6} + 1\right)}^{\frac{1}{4}}\right) - \frac{1}{6} \, \log\left({\left(x^{6} + 1\right)}^{\frac{1}{4}} + 1\right) + \frac{1}{6} \, \log\left({\left(x^{6} + 1\right)}^{\frac{1}{4}} - 1\right)"," ",0,"2/3*(x^6 + 1)^(1/4) - 1/3*arctan((x^6 + 1)^(1/4)) - 1/6*log((x^6 + 1)^(1/4) + 1) + 1/6*log((x^6 + 1)^(1/4) - 1)","A",0
542,1,43,0,0.534495," ","integrate((x^12+1)/x^4/(x^6-1)^(1/2),x, algorithm=""fricas"")","-\frac{x^{3} \log\left(-x^{3} + \sqrt{x^{6} - 1}\right) - 2 \, x^{3} - {\left(x^{6} + 2\right)} \sqrt{x^{6} - 1}}{6 \, x^{3}}"," ",0,"-1/6*(x^3*log(-x^3 + sqrt(x^6 - 1)) - 2*x^3 - (x^6 + 2)*sqrt(x^6 - 1))/x^3","A",0
543,1,57,0,0.525515," ","integrate(1/x^10/(x^3+1)^(1/2),x, algorithm=""fricas"")","\frac{15 \, x^{9} \log\left(\sqrt{x^{3} + 1} + 1\right) - 15 \, x^{9} \log\left(\sqrt{x^{3} + 1} - 1\right) - 2 \, {\left(15 \, x^{6} - 10 \, x^{3} + 8\right)} \sqrt{x^{3} + 1}}{144 \, x^{9}}"," ",0,"1/144*(15*x^9*log(sqrt(x^3 + 1) + 1) - 15*x^9*log(sqrt(x^3 + 1) - 1) - 2*(15*x^6 - 10*x^3 + 8)*sqrt(x^3 + 1))/x^9","A",0
544,1,39,0,0.591418," ","integrate((x^3-1)/x^6/(x^3+x^2)^(1/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(19071 \, x^{5} - 12714 \, x^{4} + 10595 \, x^{3} - 3600 \, x^{2} + 3300 \, x - 3080\right)} {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{52360 \, x^{7}}"," ",0,"-3/52360*(19071*x^5 - 12714*x^4 + 10595*x^3 - 3600*x^2 + 3300*x - 3080)*(x^3 + x^2)^(2/3)/x^7","A",0
545,1,55,0,0.561029," ","integrate((x^3-2)*(x^3+1)^(1/2)*(2*x^3+x^2+2)/x^4/(x^3+x^2+1),x, algorithm=""fricas"")","-\frac{3 \, x^{3} \arctan\left(\frac{2 \, \sqrt{x^{3} + 1} x}{x^{3} - x^{2} + 1}\right) - 2 \, {\left(2 \, x^{3} - 3 \, x^{2} + 2\right)} \sqrt{x^{3} + 1}}{3 \, x^{3}}"," ",0,"-1/3*(3*x^3*arctan(2*sqrt(x^3 + 1)*x/(x^3 - x^2 + 1)) - 2*(2*x^3 - 3*x^2 + 2)*sqrt(x^3 + 1))/x^3","A",0
546,1,111,0,0.569654," ","integrate((x^4-1)*(x^4+x^2+1)^(1/2)/(x^4+1)/(x^4-x^2+1),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(-\frac{x^{8} + 14 \, x^{6} + 19 \, x^{4} - 4 \, \sqrt{2} {\left(x^{5} + 3 \, x^{3} + x\right)} \sqrt{x^{4} + x^{2} + 1} + 14 \, x^{2} + 1}{x^{8} - 2 \, x^{6} + 3 \, x^{4} - 2 \, x^{2} + 1}\right) + \frac{1}{2} \, \log\left(-\frac{x^{4} + 2 \, x^{2} + 2 \, \sqrt{x^{4} + x^{2} + 1} x + 1}{x^{4} + 1}\right)"," ",0,"1/4*sqrt(2)*log(-(x^8 + 14*x^6 + 19*x^4 - 4*sqrt(2)*(x^5 + 3*x^3 + x)*sqrt(x^4 + x^2 + 1) + 14*x^2 + 1)/(x^8 - 2*x^6 + 3*x^4 - 2*x^2 + 1)) + 1/2*log(-(x^4 + 2*x^2 + 2*sqrt(x^4 + x^2 + 1)*x + 1)/(x^4 + 1))","B",0
547,1,67,0,0.793019," ","integrate((x^4+x^2+x+1)^(1/2)*(2*x^4-x-2)/(x^4+x+1)^2,x, algorithm=""fricas"")","\frac{{\left(x^{4} + x + 1\right)} \log\left(\frac{x^{4} + 2 \, x^{2} - 2 \, \sqrt{x^{4} + x^{2} + x + 1} x + x + 1}{x^{4} + x + 1}\right) - 2 \, \sqrt{x^{4} + x^{2} + x + 1} x}{2 \, {\left(x^{4} + x + 1\right)}}"," ",0,"1/2*((x^4 + x + 1)*log((x^4 + 2*x^2 - 2*sqrt(x^4 + x^2 + x + 1)*x + x + 1)/(x^4 + x + 1)) - 2*sqrt(x^4 + x^2 + x + 1)*x)/(x^4 + x + 1)","A",0
548,1,154,0,2.430547," ","integrate((x^4-1)*(3*x^4+1)/x/(x^4-a*x-1)/(x^5-x)^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{a} x \log\left(-\frac{x^{8} + 6 \, a x^{5} + a^{2} x^{2} - 2 \, x^{4} - 4 \, \sqrt{x^{5} - x} {\left(x^{4} + a x - 1\right)} \sqrt{a} - 6 \, a x + 1}{x^{8} - 2 \, a x^{5} + a^{2} x^{2} - 2 \, x^{4} + 2 \, a x + 1}\right) + 4 \, \sqrt{x^{5} - x}}{2 \, x}, \frac{\sqrt{-a} x \arctan\left(\frac{2 \, \sqrt{x^{5} - x} \sqrt{-a}}{x^{4} + a x - 1}\right) + 2 \, \sqrt{x^{5} - x}}{x}\right]"," ",0,"[1/2*(sqrt(a)*x*log(-(x^8 + 6*a*x^5 + a^2*x^2 - 2*x^4 - 4*sqrt(x^5 - x)*(x^4 + a*x - 1)*sqrt(a) - 6*a*x + 1)/(x^8 - 2*a*x^5 + a^2*x^2 - 2*x^4 + 2*a*x + 1)) + 4*sqrt(x^5 - x))/x, (sqrt(-a)*x*arctan(2*sqrt(x^5 - x)*sqrt(-a)/(x^4 + a*x - 1)) + 2*sqrt(x^5 - x))/x]","A",0
549,1,39,0,0.441378," ","integrate(1/x^19/(x^6-1)^(1/2),x, algorithm=""fricas"")","\frac{15 \, x^{18} \arctan\left(\sqrt{x^{6} - 1}\right) + {\left(15 \, x^{12} + 10 \, x^{6} + 8\right)} \sqrt{x^{6} - 1}}{144 \, x^{18}}"," ",0,"1/144*(15*x^18*arctan(sqrt(x^6 - 1)) + (15*x^12 + 10*x^6 + 8)*sqrt(x^6 - 1))/x^18","A",0
550,1,37,0,0.440511," ","integrate(x^14/(x^6-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{24} \, {\left(2 \, x^{9} + 3 \, x^{3}\right)} \sqrt{x^{6} - 1} - \frac{1}{8} \, \log\left(-x^{3} + \sqrt{x^{6} - 1}\right)"," ",0,"1/24*(2*x^9 + 3*x^3)*sqrt(x^6 - 1) - 1/8*log(-x^3 + sqrt(x^6 - 1))","A",0
551,1,39,0,0.454126," ","integrate((x^6-1)^(1/2)/x^19,x, algorithm=""fricas"")","\frac{3 \, x^{18} \arctan\left(\sqrt{x^{6} - 1}\right) + {\left(3 \, x^{12} + 2 \, x^{6} - 8\right)} \sqrt{x^{6} - 1}}{144 \, x^{18}}"," ",0,"1/144*(3*x^18*arctan(sqrt(x^6 - 1)) + (3*x^12 + 2*x^6 - 8)*sqrt(x^6 - 1))/x^18","A",0
552,1,37,0,0.478040," ","integrate(x^8*(x^6-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{24} \, {\left(2 \, x^{9} - x^{3}\right)} \sqrt{x^{6} - 1} + \frac{1}{24} \, \log\left(-x^{3} + \sqrt{x^{6} - 1}\right)"," ",0,"1/24*(2*x^9 - x^3)*sqrt(x^6 - 1) + 1/24*log(-x^3 + sqrt(x^6 - 1))","A",0
553,1,53,0,0.511327," ","integrate((x^6-1)/(x^4+1)^(1/2)/(x^6+1),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} x}{\sqrt{x^{4} + 1}}\right) + \frac{1}{3} \, \log\left(\frac{x^{4} + x^{2} - 2 \, \sqrt{x^{4} + 1} x + 1}{x^{4} - x^{2} + 1}\right)"," ",0,"-1/6*sqrt(2)*arctan(sqrt(2)*x/sqrt(x^4 + 1)) + 1/3*log((x^4 + x^2 - 2*sqrt(x^4 + 1)*x + 1)/(x^4 - x^2 + 1))","A",0
554,1,37,0,0.437546," ","integrate(x^14/(x^6+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{24} \, {\left(2 \, x^{9} - 3 \, x^{3}\right)} \sqrt{x^{6} + 1} - \frac{1}{8} \, \log\left(-x^{3} + \sqrt{x^{6} + 1}\right)"," ",0,"1/24*(2*x^9 - 3*x^3)*sqrt(x^6 + 1) - 1/8*log(-x^3 + sqrt(x^6 + 1))","A",0
555,1,57,0,0.447223," ","integrate((x^6-1)/x^19/(x^6+1)^(1/2),x, algorithm=""fricas"")","-\frac{33 \, x^{18} \log\left(\sqrt{x^{6} + 1} + 1\right) - 33 \, x^{18} \log\left(\sqrt{x^{6} + 1} - 1\right) - 2 \, {\left(33 \, x^{12} - 22 \, x^{6} + 8\right)} \sqrt{x^{6} + 1}}{288 \, x^{18}}"," ",0,"-1/288*(33*x^18*log(sqrt(x^6 + 1) + 1) - 33*x^18*log(sqrt(x^6 + 1) - 1) - 2*(33*x^12 - 22*x^6 + 8)*sqrt(x^6 + 1))/x^18","A",0
556,1,68,0,0.517449," ","integrate((x^6+1)/(x^4+1)^(1/2)/(-x^6+1),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{2} \log\left(\frac{x^{4} + 2 \, \sqrt{2} \sqrt{x^{4} + 1} x + 2 \, x^{2} + 1}{x^{4} - 2 \, x^{2} + 1}\right) + \frac{1}{3} \, \arctan\left(\frac{2 \, \sqrt{x^{4} + 1} x}{x^{4} - x^{2} + 1}\right)"," ",0,"1/12*sqrt(2)*log((x^4 + 2*sqrt(2)*sqrt(x^4 + 1)*x + 2*x^2 + 1)/(x^4 - 2*x^2 + 1)) + 1/3*arctan(2*sqrt(x^4 + 1)*x/(x^4 - x^2 + 1))","B",0
557,1,68,0,0.518901," ","integrate((x^6+1)/(x^4+1)^(1/2)/(x^6-1),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{2} \log\left(\frac{x^{4} - 2 \, \sqrt{2} \sqrt{x^{4} + 1} x + 2 \, x^{2} + 1}{x^{4} - 2 \, x^{2} + 1}\right) - \frac{1}{3} \, \arctan\left(\frac{2 \, \sqrt{x^{4} + 1} x}{x^{4} - x^{2} + 1}\right)"," ",0,"1/12*sqrt(2)*log((x^4 - 2*sqrt(2)*sqrt(x^4 + 1)*x + 2*x^2 + 1)/(x^4 - 2*x^2 + 1)) - 1/3*arctan(2*sqrt(x^4 + 1)*x/(x^4 - x^2 + 1))","B",0
558,1,154,0,4.039049," ","integrate((x^5-1)*(4*x^5+1)/x/(x^5-a*x-1)/(x^6-x)^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{a} x \log\left(-\frac{x^{10} + 6 \, a x^{6} - 2 \, x^{5} + a^{2} x^{2} - 4 \, \sqrt{x^{6} - x} {\left(x^{5} + a x - 1\right)} \sqrt{a} - 6 \, a x + 1}{x^{10} - 2 \, a x^{6} - 2 \, x^{5} + a^{2} x^{2} + 2 \, a x + 1}\right) + 4 \, \sqrt{x^{6} - x}}{2 \, x}, \frac{\sqrt{-a} x \arctan\left(\frac{2 \, \sqrt{x^{6} - x} \sqrt{-a}}{x^{5} + a x - 1}\right) + 2 \, \sqrt{x^{6} - x}}{x}\right]"," ",0,"[1/2*(sqrt(a)*x*log(-(x^10 + 6*a*x^6 - 2*x^5 + a^2*x^2 - 4*sqrt(x^6 - x)*(x^5 + a*x - 1)*sqrt(a) - 6*a*x + 1)/(x^10 - 2*a*x^6 - 2*x^5 + a^2*x^2 + 2*a*x + 1)) + 4*sqrt(x^6 - x))/x, (sqrt(-a)*x*arctan(2*sqrt(x^6 - x)*sqrt(-a)/(x^5 + a*x - 1)) + 2*sqrt(x^6 - x))/x]","A",0
559,1,57,0,0.443163," ","integrate((x^3+2)*(x^6+x^3+1)/x^7/(x^3+1)^(1/2),x, algorithm=""fricas"")","-\frac{9 \, x^{6} \log\left(\sqrt{x^{3} + 1} + 1\right) - 9 \, x^{6} \log\left(\sqrt{x^{3} + 1} - 1\right) - 2 \, {\left(4 \, x^{6} - 3 \, x^{3} - 2\right)} \sqrt{x^{3} + 1}}{12 \, x^{6}}"," ",0,"-1/12*(9*x^6*log(sqrt(x^3 + 1) + 1) - 9*x^6*log(sqrt(x^3 + 1) - 1) - 2*(4*x^6 - 3*x^3 - 2)*sqrt(x^3 + 1))/x^6","A",0
560,1,172,0,0.654771," ","integrate((4*x^6-x)/(x^5+1)/(a*x^5+a-x)/(x^6+x)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(x^{5} + 1\right)} \sqrt{a} \log\left(-\frac{a^{2} x^{10} + 2 \, a^{2} x^{5} + 6 \, a x^{6} - 4 \, {\left(a x^{5} + a + x\right)} \sqrt{x^{6} + x} \sqrt{a} + a^{2} + 6 \, a x + x^{2}}{a^{2} x^{10} + 2 \, a^{2} x^{5} - 2 \, a x^{6} + a^{2} - 2 \, a x + x^{2}}\right) + 4 \, \sqrt{x^{6} + x}}{2 \, {\left(x^{5} + 1\right)}}, \frac{{\left(x^{5} + 1\right)} \sqrt{-a} \arctan\left(\frac{2 \, \sqrt{x^{6} + x} \sqrt{-a}}{a x^{5} + a + x}\right) + 2 \, \sqrt{x^{6} + x}}{x^{5} + 1}\right]"," ",0,"[1/2*((x^5 + 1)*sqrt(a)*log(-(a^2*x^10 + 2*a^2*x^5 + 6*a*x^6 - 4*(a*x^5 + a + x)*sqrt(x^6 + x)*sqrt(a) + a^2 + 6*a*x + x^2)/(a^2*x^10 + 2*a^2*x^5 - 2*a*x^6 + a^2 - 2*a*x + x^2)) + 4*sqrt(x^6 + x))/(x^5 + 1), ((x^5 + 1)*sqrt(-a)*arctan(2*sqrt(x^6 + x)*sqrt(-a)/(a*x^5 + a + x)) + 2*sqrt(x^6 + x))/(x^5 + 1)]","A",0
561,1,167,0,12.674791," ","integrate((x^6+x^3+2)/x/(x^6+1)^(1/4)/(x^9-4*x^6+5*x^3-4),x, algorithm=""fricas"")","\frac{1}{6} \, \arctan\left(\frac{2 \, {\left({\left(x^{6} + 1\right)}^{\frac{3}{4}} {\left(x^{3} - 1\right)} + {\left(x^{9} - 3 \, x^{6} + 3 \, x^{3} - 1\right)} {\left(x^{6} + 1\right)}^{\frac{1}{4}}\right)}}{x^{12} - 4 \, x^{9} + 5 \, x^{6} - 4 \, x^{3}}\right) + \frac{1}{6} \, \log\left(-\frac{x^{12} - 4 \, x^{9} + 7 \, x^{6} - 4 \, x^{3} - 2 \, {\left(x^{6} + 1\right)}^{\frac{3}{4}} {\left(x^{3} - 1\right)} + 2 \, {\left(x^{6} - 2 \, x^{3} + 1\right)} \sqrt{x^{6} + 1} - 2 \, {\left(x^{9} - 3 \, x^{6} + 3 \, x^{3} - 1\right)} {\left(x^{6} + 1\right)}^{\frac{1}{4}} + 2}{x^{12} - 4 \, x^{9} + 5 \, x^{6} - 4 \, x^{3}}\right)"," ",0,"1/6*arctan(2*((x^6 + 1)^(3/4)*(x^3 - 1) + (x^9 - 3*x^6 + 3*x^3 - 1)*(x^6 + 1)^(1/4))/(x^12 - 4*x^9 + 5*x^6 - 4*x^3)) + 1/6*log(-(x^12 - 4*x^9 + 7*x^6 - 4*x^3 - 2*(x^6 + 1)^(3/4)*(x^3 - 1) + 2*(x^6 - 2*x^3 + 1)*sqrt(x^6 + 1) - 2*(x^9 - 3*x^6 + 3*x^3 - 1)*(x^6 + 1)^(1/4) + 2)/(x^12 - 4*x^9 + 5*x^6 - 4*x^3))","B",0
562,1,14,0,0.425170," ","integrate((1024*x^10-16640*x^9+112000*x^8-401440*x^7+820340*x^6-954733*x^5+615255*x^4-225810*x^3+47250*x^2-5265*x+243)^(1/5),x, algorithm=""fricas"")","\frac{4}{3} \, x^{3} - \frac{13}{2} \, x^{2} + 3 \, x"," ",0,"4/3*x^3 - 13/2*x^2 + 3*x","A",0
563,-1,0,0,0.000000," ","integrate((2*a*x^8-b*x^3)/(a*x^6-b*x)^(1/4)/(a*x^10-b*x^5-1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
564,-1,0,0,0.000000," ","integrate(x^5*(10*a*x^3-7*b)/(a*x^6-b*x^3)^(1/4)/(a*x^10-b*x^7-1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
565,1,37,0,1.169535," ","integrate(1/x/(-a/b^2+a^2*x^2/b^2)^(1/2)/(a*x^2+b*x*(-a/b^2+a^2*x^2/b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{a x^{2} + b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}}} b}{a x}"," ",0,"2*sqrt(a*x^2 + b*x*sqrt((a^2*x^2 - a)/b^2))*b/(a*x)","A",0
566,1,224,0,1.357634," ","integrate((a*b-2*a*x+x^2)/(x*(-a+x)*(-b+x))^(1/2)/(a*d-(b+d)*x+x^2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{a^{2} d^{2} - 2 \, {\left(b - 3 \, d\right)} x^{3} + x^{4} + {\left(b^{2} - 6 \, {\left(a + b\right)} d + d^{2}\right)} x^{2} + 4 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left(a d + {\left(b - d\right)} x - x^{2}\right)} \sqrt{d} + 2 \, {\left(3 \, a b d - a d^{2}\right)} x}{a^{2} d^{2} - 2 \, {\left(b + d\right)} x^{3} + x^{4} + {\left(b^{2} + 2 \, {\left(a + b\right)} d + d^{2}\right)} x^{2} - 2 \, {\left(a b d + a d^{2}\right)} x}\right)}{2 \, \sqrt{d}}, \frac{\sqrt{-d} \arctan\left(-\frac{\sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left(a d + {\left(b - d\right)} x - x^{2}\right)} \sqrt{-d}}{2 \, {\left(a b d x - {\left(a + b\right)} d x^{2} + d x^{3}\right)}}\right)}{d}\right]"," ",0,"[1/2*log((a^2*d^2 - 2*(b - 3*d)*x^3 + x^4 + (b^2 - 6*(a + b)*d + d^2)*x^2 + 4*sqrt(a*b*x - (a + b)*x^2 + x^3)*(a*d + (b - d)*x - x^2)*sqrt(d) + 2*(3*a*b*d - a*d^2)*x)/(a^2*d^2 - 2*(b + d)*x^3 + x^4 + (b^2 + 2*(a + b)*d + d^2)*x^2 - 2*(a*b*d + a*d^2)*x))/sqrt(d), sqrt(-d)*arctan(-1/2*sqrt(a*b*x - (a + b)*x^2 + x^3)*(a*d + (b - d)*x - x^2)*sqrt(-d)/(a*b*d*x - (a + b)*d*x^2 + d*x^3))/d]","B",0
567,1,231,0,1.654002," ","integrate((a*b-2*a*x+x^2)/(x*(-a+x)*(-b+x))^(1/2)/(a-(b*d+1)*x+d*x^2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{d^{2} x^{4} - 2 \, {\left(b d^{2} - 3 \, d\right)} x^{3} + {\left(b^{2} d^{2} - 6 \, {\left(a + b\right)} d + 1\right)} x^{2} + a^{2} - 4 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left(d x^{2} - {\left(b d - 1\right)} x - a\right)} \sqrt{d} + 2 \, {\left(3 \, a b d - a\right)} x}{d^{2} x^{4} - 2 \, {\left(b d^{2} + d\right)} x^{3} + {\left(b^{2} d^{2} + 2 \, {\left(a + b\right)} d + 1\right)} x^{2} + a^{2} - 2 \, {\left(a b d + a\right)} x}\right)}{2 \, \sqrt{d}}, \frac{\sqrt{-d} \arctan\left(\frac{\sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left(d x^{2} - {\left(b d - 1\right)} x - a\right)} \sqrt{-d}}{2 \, {\left(a b d x - {\left(a + b\right)} d x^{2} + d x^{3}\right)}}\right)}{d}\right]"," ",0,"[1/2*log((d^2*x^4 - 2*(b*d^2 - 3*d)*x^3 + (b^2*d^2 - 6*(a + b)*d + 1)*x^2 + a^2 - 4*sqrt(a*b*x - (a + b)*x^2 + x^3)*(d*x^2 - (b*d - 1)*x - a)*sqrt(d) + 2*(3*a*b*d - a)*x)/(d^2*x^4 - 2*(b*d^2 + d)*x^3 + (b^2*d^2 + 2*(a + b)*d + 1)*x^2 + a^2 - 2*(a*b*d + a)*x))/sqrt(d), sqrt(-d)*arctan(1/2*sqrt(a*b*x - (a + b)*x^2 + x^3)*(d*x^2 - (b*d - 1)*x - a)*sqrt(-d)/(a*b*d*x - (a + b)*d*x^2 + d*x^3))/d]","B",0
568,1,68,0,0.528382," ","integrate((x^3-2)*(x^3-x^2+1)^(1/2)/(x^3+1)^2,x, algorithm=""fricas"")","\frac{{\left(x^{3} + 1\right)} \arctan\left(\frac{\sqrt{x^{3} - x^{2} + 1} {\left(x^{3} - 2 \, x^{2} + 1\right)}}{2 \, {\left(x^{4} - x^{3} + x\right)}}\right) - 2 \, \sqrt{x^{3} - x^{2} + 1} x}{2 \, {\left(x^{3} + 1\right)}}"," ",0,"1/2*((x^3 + 1)*arctan(1/2*sqrt(x^3 - x^2 + 1)*(x^3 - 2*x^2 + 1)/(x^4 - x^3 + x)) - 2*sqrt(x^3 - x^2 + 1)*x)/(x^3 + 1)","A",0
569,1,407,0,0.998312," ","integrate((a^2*b-a*(2*a-b)*x-(-a+2*b)*x^2+x^3)/(x*(-a+x)*(-b+x))^(1/2)/(-a^3+(3*a^2+b*d)*x-(3*a+d)*x^2+x^3),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{a^{6} - 6 \, {\left(a - d\right)} x^{5} + x^{6} + {\left(15 \, a^{2} - 6 \, {\left(3 \, a + b\right)} d + d^{2}\right)} x^{4} - 2 \, {\left(10 \, a^{3} + b d^{2} - 9 \, {\left(a^{2} + a b\right)} d\right)} x^{3} + {\left(15 \, a^{4} + b^{2} d^{2} - 6 \, {\left(a^{3} + 3 \, a^{2} b\right)} d\right)} x^{2} - 4 \, {\left(a^{4} - {\left(4 \, a - d\right)} x^{3} + x^{4} + {\left(6 \, a^{2} - {\left(a + b\right)} d\right)} x^{2} - {\left(4 \, a^{3} - a b d\right)} x\right)} \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} \sqrt{d} - 6 \, {\left(a^{5} - a^{3} b d\right)} x}{a^{6} - 2 \, {\left(3 \, a + d\right)} x^{5} + x^{6} + {\left(15 \, a^{2} + 2 \, {\left(3 \, a + b\right)} d + d^{2}\right)} x^{4} - 2 \, {\left(10 \, a^{3} + b d^{2} + 3 \, {\left(a^{2} + a b\right)} d\right)} x^{3} + {\left(15 \, a^{4} + b^{2} d^{2} + 2 \, {\left(a^{3} + 3 \, a^{2} b\right)} d\right)} x^{2} - 2 \, {\left(3 \, a^{5} + a^{3} b d\right)} x}\right)}{2 \, \sqrt{d}}, \frac{\sqrt{-d} \arctan\left(\frac{{\left(a^{3} + {\left(3 \, a - d\right)} x^{2} - x^{3} - {\left(3 \, a^{2} - b d\right)} x\right)} \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} \sqrt{-d}}{2 \, {\left(a^{2} b d x + {\left(2 \, a + b\right)} d x^{3} - d x^{4} - {\left(a^{2} + 2 \, a b\right)} d x^{2}\right)}}\right)}{d}\right]"," ",0,"[1/2*log((a^6 - 6*(a - d)*x^5 + x^6 + (15*a^2 - 6*(3*a + b)*d + d^2)*x^4 - 2*(10*a^3 + b*d^2 - 9*(a^2 + a*b)*d)*x^3 + (15*a^4 + b^2*d^2 - 6*(a^3 + 3*a^2*b)*d)*x^2 - 4*(a^4 - (4*a - d)*x^3 + x^4 + (6*a^2 - (a + b)*d)*x^2 - (4*a^3 - a*b*d)*x)*sqrt(a*b*x - (a + b)*x^2 + x^3)*sqrt(d) - 6*(a^5 - a^3*b*d)*x)/(a^6 - 2*(3*a + d)*x^5 + x^6 + (15*a^2 + 2*(3*a + b)*d + d^2)*x^4 - 2*(10*a^3 + b*d^2 + 3*(a^2 + a*b)*d)*x^3 + (15*a^4 + b^2*d^2 + 2*(a^3 + 3*a^2*b)*d)*x^2 - 2*(3*a^5 + a^3*b*d)*x))/sqrt(d), sqrt(-d)*arctan(1/2*(a^3 + (3*a - d)*x^2 - x^3 - (3*a^2 - b*d)*x)*sqrt(a*b*x - (a + b)*x^2 + x^3)*sqrt(-d)/(a^2*b*d*x + (2*a + b)*d*x^3 - d*x^4 - (a^2 + 2*a*b)*d*x^2))/d]","B",0
570,1,441,0,1.223630," ","integrate((a^2*b-a*(2*a-b)*x-(-a+2*b)*x^2+x^3)/(x*(-a+x)*(-b+x))^(1/2)/(-a^3*d+(3*a^2*d+b)*x-(3*a*d+1)*x^2+d*x^3),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{a^{6} d^{2} + d^{2} x^{6} - 6 \, {\left(a d^{2} - d\right)} x^{5} + {\left(15 \, a^{2} d^{2} - 6 \, {\left(3 \, a + b\right)} d + 1\right)} x^{4} - 2 \, {\left(10 \, a^{3} d^{2} - 9 \, {\left(a^{2} + a b\right)} d + b\right)} x^{3} + {\left(15 \, a^{4} d^{2} + b^{2} - 6 \, {\left(a^{3} + 3 \, a^{2} b\right)} d\right)} x^{2} - 4 \, {\left(a^{4} d + d x^{4} - {\left(4 \, a d - 1\right)} x^{3} + {\left(6 \, a^{2} d - a - b\right)} x^{2} - {\left(4 \, a^{3} d - a b\right)} x\right)} \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} \sqrt{d} - 6 \, {\left(a^{5} d^{2} - a^{3} b d\right)} x}{a^{6} d^{2} + d^{2} x^{6} - 2 \, {\left(3 \, a d^{2} + d\right)} x^{5} + {\left(15 \, a^{2} d^{2} + 2 \, {\left(3 \, a + b\right)} d + 1\right)} x^{4} - 2 \, {\left(10 \, a^{3} d^{2} + 3 \, {\left(a^{2} + a b\right)} d + b\right)} x^{3} + {\left(15 \, a^{4} d^{2} + b^{2} + 2 \, {\left(a^{3} + 3 \, a^{2} b\right)} d\right)} x^{2} - 2 \, {\left(3 \, a^{5} d^{2} + a^{3} b d\right)} x}\right)}{2 \, \sqrt{d}}, \frac{\sqrt{-d} \arctan\left(\frac{{\left(a^{3} d - d x^{3} + {\left(3 \, a d - 1\right)} x^{2} - {\left(3 \, a^{2} d - b\right)} x\right)} \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} \sqrt{-d}}{2 \, {\left(a^{2} b d x + {\left(2 \, a + b\right)} d x^{3} - d x^{4} - {\left(a^{2} + 2 \, a b\right)} d x^{2}\right)}}\right)}{d}\right]"," ",0,"[1/2*log((a^6*d^2 + d^2*x^6 - 6*(a*d^2 - d)*x^5 + (15*a^2*d^2 - 6*(3*a + b)*d + 1)*x^4 - 2*(10*a^3*d^2 - 9*(a^2 + a*b)*d + b)*x^3 + (15*a^4*d^2 + b^2 - 6*(a^3 + 3*a^2*b)*d)*x^2 - 4*(a^4*d + d*x^4 - (4*a*d - 1)*x^3 + (6*a^2*d - a - b)*x^2 - (4*a^3*d - a*b)*x)*sqrt(a*b*x - (a + b)*x^2 + x^3)*sqrt(d) - 6*(a^5*d^2 - a^3*b*d)*x)/(a^6*d^2 + d^2*x^6 - 2*(3*a*d^2 + d)*x^5 + (15*a^2*d^2 + 2*(3*a + b)*d + 1)*x^4 - 2*(10*a^3*d^2 + 3*(a^2 + a*b)*d + b)*x^3 + (15*a^4*d^2 + b^2 + 2*(a^3 + 3*a^2*b)*d)*x^2 - 2*(3*a^5*d^2 + a^3*b*d)*x))/sqrt(d), sqrt(-d)*arctan(1/2*(a^3*d - d*x^3 + (3*a*d - 1)*x^2 - (3*a^2*d - b)*x)*sqrt(a*b*x - (a + b)*x^2 + x^3)*sqrt(-d)/(a^2*b*d*x + (2*a + b)*d*x^3 - d*x^4 - (a^2 + 2*a*b)*d*x^2))/d]","B",0
571,1,93,0,0.527399," ","integrate((2*x^2-3*x)/(x^3+2*x-2)/(3*x^4+2*x^2-2*x)^(1/2),x, algorithm=""fricas"")","\frac{1}{8} \, \sqrt{2} \log\left(-\frac{49 \, x^{6} + 36 \, x^{4} - 36 \, x^{3} + 4 \, \sqrt{2} {\left(5 \, x^{4} + 2 \, x^{2} - 2 \, x\right)} \sqrt{3 \, x^{4} + 2 \, x^{2} - 2 \, x} + 4 \, x^{2} - 8 \, x + 4}{x^{6} + 4 \, x^{4} - 4 \, x^{3} + 4 \, x^{2} - 8 \, x + 4}\right)"," ",0,"1/8*sqrt(2)*log(-(49*x^6 + 36*x^4 - 36*x^3 + 4*sqrt(2)*(5*x^4 + 2*x^2 - 2*x)*sqrt(3*x^4 + 2*x^2 - 2*x) + 4*x^2 - 8*x + 4)/(x^6 + 4*x^4 - 4*x^3 + 4*x^2 - 8*x + 4))","B",0
572,1,471,0,3.908617," ","integrate((a*p*x^4-3*b*p*x^2+4*a*q*x)/(p*x^3+q)^(1/2)/(a^2*c*x^4+2*a*b*c*x^2+d*p*x^3+b^2*c+d*q),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-c d} \log\left(\frac{a^{4} c^{2} x^{8} - 6 \, a^{2} c d p x^{7} - 12 \, a b c d p x^{5} + {\left(4 \, a^{3} b c^{2} + d^{2} p^{2}\right)} x^{6} + b^{4} c^{2} - 6 \, b^{2} c d q + 6 \, {\left(a^{2} b^{2} c^{2} - a^{2} c d q\right)} x^{4} + d^{2} q^{2} - 2 \, {\left(3 \, b^{2} c d p - d^{2} p q\right)} x^{3} + 4 \, {\left(a b^{3} c^{2} - 3 \, a b c d q\right)} x^{2} - 4 \, {\left(a^{3} c x^{6} + 3 \, a^{2} b c x^{4} - a d p x^{5} - b d p x^{3} + b^{3} c - b d q + {\left(3 \, a b^{2} c - a d q\right)} x^{2}\right)} \sqrt{p x^{3} + q} \sqrt{-c d}}{a^{4} c^{2} x^{8} + 2 \, a^{2} c d p x^{7} + 4 \, a b c d p x^{5} + {\left(4 \, a^{3} b c^{2} + d^{2} p^{2}\right)} x^{6} + b^{4} c^{2} + 2 \, b^{2} c d q + 2 \, {\left(3 \, a^{2} b^{2} c^{2} + a^{2} c d q\right)} x^{4} + d^{2} q^{2} + 2 \, {\left(b^{2} c d p + d^{2} p q\right)} x^{3} + 4 \, {\left(a b^{3} c^{2} + a b c d q\right)} x^{2}}\right)}{2 \, c d}, \frac{\sqrt{c d} \arctan\left(\frac{{\left(a^{2} c x^{4} + 2 \, a b c x^{2} - d p x^{3} + b^{2} c - d q\right)} \sqrt{p x^{3} + q} \sqrt{c d}}{2 \, {\left(a c d p x^{5} + b c d p x^{3} + a c d q x^{2} + b c d q\right)}}\right)}{c d}\right]"," ",0,"[-1/2*sqrt(-c*d)*log((a^4*c^2*x^8 - 6*a^2*c*d*p*x^7 - 12*a*b*c*d*p*x^5 + (4*a^3*b*c^2 + d^2*p^2)*x^6 + b^4*c^2 - 6*b^2*c*d*q + 6*(a^2*b^2*c^2 - a^2*c*d*q)*x^4 + d^2*q^2 - 2*(3*b^2*c*d*p - d^2*p*q)*x^3 + 4*(a*b^3*c^2 - 3*a*b*c*d*q)*x^2 - 4*(a^3*c*x^6 + 3*a^2*b*c*x^4 - a*d*p*x^5 - b*d*p*x^3 + b^3*c - b*d*q + (3*a*b^2*c - a*d*q)*x^2)*sqrt(p*x^3 + q)*sqrt(-c*d))/(a^4*c^2*x^8 + 2*a^2*c*d*p*x^7 + 4*a*b*c*d*p*x^5 + (4*a^3*b*c^2 + d^2*p^2)*x^6 + b^4*c^2 + 2*b^2*c*d*q + 2*(3*a^2*b^2*c^2 + a^2*c*d*q)*x^4 + d^2*q^2 + 2*(b^2*c*d*p + d^2*p*q)*x^3 + 4*(a*b^3*c^2 + a*b*c*d*q)*x^2))/(c*d), sqrt(c*d)*arctan(1/2*(a^2*c*x^4 + 2*a*b*c*x^2 - d*p*x^3 + b^2*c - d*q)*sqrt(p*x^3 + q)*sqrt(c*d)/(a*c*d*p*x^5 + b*c*d*p*x^3 + a*c*d*q*x^2 + b*c*d*q))/(c*d)]","B",0
573,1,46,0,0.430805," ","integrate((x^12+1)/x^10/(x^6-1)^(1/2),x, algorithm=""fricas"")","-\frac{3 \, x^{9} \log\left(-x^{3} + \sqrt{x^{6} - 1}\right) - 2 \, x^{9} - {\left(2 \, x^{6} + 1\right)} \sqrt{x^{6} - 1}}{9 \, x^{9}}"," ",0,"-1/9*(3*x^9*log(-x^3 + sqrt(x^6 - 1)) - 2*x^9 - (2*x^6 + 1)*sqrt(x^6 - 1))/x^9","A",0
574,1,45,0,0.493370," ","integrate((x^2-1)/(x^2+1)/(x^20+5*x^16+10*x^12+10*x^8+5*x^4+1)^(1/10),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(x^{20} + 5 \, x^{16} + 10 \, x^{12} + 10 \, x^{8} + 5 \, x^{4} + 1\right)}^{\frac{1}{10}} x}{x^{4} + 1}\right)"," ",0,"-1/2*sqrt(2)*arctan(sqrt(2)*(x^20 + 5*x^16 + 10*x^12 + 10*x^8 + 5*x^4 + 1)^(1/10)*x/(x^4 + 1))","A",0
575,-1,0,0,0.000000," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/(a*x^2+b^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
576,1,60,0,0.821594," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(4 \, x^{4} + 4 \, \sqrt{x^{4} + 1} x^{2} + 2 \, {\left(\sqrt{2} x^{3} + \sqrt{2} \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 1\right)"," ",0,"1/4*sqrt(2)*log(4*x^4 + 4*sqrt(x^4 + 1)*x^2 + 2*(sqrt(2)*x^3 + sqrt(2)*sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1)","A",0
577,1,58,0,0.504329," ","integrate(1/x^3/(x^2+1)^(3/4),x, algorithm=""fricas"")","\frac{6 \, x^{2} \arctan\left({\left(x^{2} + 1\right)}^{\frac{1}{4}}\right) + 3 \, x^{2} \log\left({\left(x^{2} + 1\right)}^{\frac{1}{4}} + 1\right) - 3 \, x^{2} \log\left({\left(x^{2} + 1\right)}^{\frac{1}{4}} - 1\right) - 4 \, {\left(x^{2} + 1\right)}^{\frac{1}{4}}}{8 \, x^{2}}"," ",0,"1/8*(6*x^2*arctan((x^2 + 1)^(1/4)) + 3*x^2*log((x^2 + 1)^(1/4) + 1) - 3*x^2*log((x^2 + 1)^(1/4) - 1) - 4*(x^2 + 1)^(1/4))/x^2","A",0
578,1,57,0,0.519950," ","integrate(1/x^4/(x^3+1)^(1/4),x, algorithm=""fricas"")","-\frac{2 \, x^{3} \arctan\left({\left(x^{3} + 1\right)}^{\frac{1}{4}}\right) - x^{3} \log\left({\left(x^{3} + 1\right)}^{\frac{1}{4}} + 1\right) + x^{3} \log\left({\left(x^{3} + 1\right)}^{\frac{1}{4}} - 1\right) + 4 \, {\left(x^{3} + 1\right)}^{\frac{3}{4}}}{12 \, x^{3}}"," ",0,"-1/12*(2*x^3*arctan((x^3 + 1)^(1/4)) - x^3*log((x^3 + 1)^(1/4) + 1) + x^3*log((x^3 + 1)^(1/4) - 1) + 4*(x^3 + 1)^(3/4))/x^3","A",0
579,1,57,0,0.453051," ","integrate((x^3+1)^(1/4)/x^4,x, algorithm=""fricas"")","-\frac{2 \, x^{3} \arctan\left({\left(x^{3} + 1\right)}^{\frac{1}{4}}\right) + x^{3} \log\left({\left(x^{3} + 1\right)}^{\frac{1}{4}} + 1\right) - x^{3} \log\left({\left(x^{3} + 1\right)}^{\frac{1}{4}} - 1\right) + 4 \, {\left(x^{3} + 1\right)}^{\frac{1}{4}}}{12 \, x^{3}}"," ",0,"-1/12*(2*x^3*arctan((x^3 + 1)^(1/4)) + x^3*log((x^3 + 1)^(1/4) + 1) - x^3*log((x^3 + 1)^(1/4) - 1) + 4*(x^3 + 1)^(1/4))/x^3","A",0
580,1,43,0,0.484634," ","integrate(x^3*(x^4-x)^(1/2),x, algorithm=""fricas"")","\frac{1}{12} \, {\left(2 \, x^{4} - x\right)} \sqrt{x^{4} - x} + \frac{1}{24} \, \log\left(2 \, x^{3} - 2 \, \sqrt{x^{4} - x} x - 1\right)"," ",0,"1/12*(2*x^4 - x)*sqrt(x^4 - x) + 1/24*log(2*x^3 - 2*sqrt(x^4 - x)*x - 1)","A",0
581,1,146,0,1.748808," ","integrate((x^4+1)*(3*x^4-1)/x/(x^4-a*x+1)/(x^5+x)^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{a} x \log\left(-\frac{x^{8} + 6 \, a x^{5} + a^{2} x^{2} + 2 \, x^{4} - 4 \, \sqrt{x^{5} + x} {\left(x^{4} + a x + 1\right)} \sqrt{a} + 6 \, a x + 1}{x^{8} - 2 \, a x^{5} + a^{2} x^{2} + 2 \, x^{4} - 2 \, a x + 1}\right) + 4 \, \sqrt{x^{5} + x}}{2 \, x}, \frac{\sqrt{-a} x \arctan\left(\frac{2 \, \sqrt{x^{5} + x} \sqrt{-a}}{x^{4} + a x + 1}\right) + 2 \, \sqrt{x^{5} + x}}{x}\right]"," ",0,"[1/2*(sqrt(a)*x*log(-(x^8 + 6*a*x^5 + a^2*x^2 + 2*x^4 - 4*sqrt(x^5 + x)*(x^4 + a*x + 1)*sqrt(a) + 6*a*x + 1)/(x^8 - 2*a*x^5 + a^2*x^2 + 2*x^4 - 2*a*x + 1)) + 4*sqrt(x^5 + x))/x, (sqrt(-a)*x*arctan(2*sqrt(x^5 + x)*sqrt(-a)/(x^4 + a*x + 1)) + 2*sqrt(x^5 + x))/x]","A",0
582,1,115,0,0.514303," ","integrate((x^5+x^2+1)^(1/2)*(3*x^5-2)/(x^5+1)/(x^5-x^2+1),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \log\left(\frac{x^{10} + 14 \, x^{7} + 2 \, x^{5} + 17 \, x^{4} - 4 \, \sqrt{2} {\left(x^{6} + 3 \, x^{3} + x\right)} \sqrt{x^{5} + x^{2} + 1} + 14 \, x^{2} + 1}{x^{10} - 2 \, x^{7} + 2 \, x^{5} + x^{4} - 2 \, x^{2} + 1}\right) + \log\left(\frac{x^{5} + 2 \, x^{2} + 2 \, \sqrt{x^{5} + x^{2} + 1} x + 1}{x^{5} + 1}\right)"," ",0,"1/2*sqrt(2)*log((x^10 + 14*x^7 + 2*x^5 + 17*x^4 - 4*sqrt(2)*(x^6 + 3*x^3 + x)*sqrt(x^5 + x^2 + 1) + 14*x^2 + 1)/(x^10 - 2*x^7 + 2*x^5 + x^4 - 2*x^2 + 1)) + log((x^5 + 2*x^2 + 2*sqrt(x^5 + x^2 + 1)*x + 1)/(x^5 + 1))","B",0
583,1,57,0,0.461426," ","integrate((x^6+1)^(1/4)/x^7,x, algorithm=""fricas"")","-\frac{2 \, x^{6} \arctan\left({\left(x^{6} + 1\right)}^{\frac{1}{4}}\right) + x^{6} \log\left({\left(x^{6} + 1\right)}^{\frac{1}{4}} + 1\right) - x^{6} \log\left({\left(x^{6} + 1\right)}^{\frac{1}{4}} - 1\right) + 4 \, {\left(x^{6} + 1\right)}^{\frac{1}{4}}}{24 \, x^{6}}"," ",0,"-1/24*(2*x^6*arctan((x^6 + 1)^(1/4)) + x^6*log((x^6 + 1)^(1/4) + 1) - x^6*log((x^6 + 1)^(1/4) - 1) + 4*(x^6 + 1)^(1/4))/x^6","A",0
584,1,256,0,48.310924," ","integrate((-1+x)^2*(5*x^3+5*x^2-8*x-10)/((1+x)/(x^2-2))^(3/4)/(x^2-2)/(x^6-4*x^5+4*x^4+4*x^3-11*x^2+7*x-3),x, algorithm=""fricas"")","-\arctan\left(\frac{2 \, {\left({\left(x^{3} - x^{2} - 2 \, x + 2\right)} \left(\frac{x + 1}{x^{2} - 2}\right)^{\frac{3}{4}} + {\left(x^{5} - 3 \, x^{4} + x^{3} + 5 \, x^{2} - 6 \, x + 2\right)} \left(\frac{x + 1}{x^{2} - 2}\right)^{\frac{1}{4}}\right)}}{x^{6} - 4 \, x^{5} + 4 \, x^{4} + 4 \, x^{3} - 11 \, x^{2} + 7 \, x - 3}\right) + \log\left(\frac{x^{6} - 4 \, x^{5} + 4 \, x^{4} + 4 \, x^{3} - 11 \, x^{2} - 2 \, {\left(x^{3} - x^{2} - 2 \, x + 2\right)} \left(\frac{x + 1}{x^{2} - 2}\right)^{\frac{3}{4}} + 2 \, {\left(x^{4} - 2 \, x^{3} - x^{2} + 4 \, x - 2\right)} \sqrt{\frac{x + 1}{x^{2} - 2}} - 2 \, {\left(x^{5} - 3 \, x^{4} + x^{3} + 5 \, x^{2} - 6 \, x + 2\right)} \left(\frac{x + 1}{x^{2} - 2}\right)^{\frac{1}{4}} + 9 \, x - 1}{x^{6} - 4 \, x^{5} + 4 \, x^{4} + 4 \, x^{3} - 11 \, x^{2} + 7 \, x - 3}\right)"," ",0,"-arctan(2*((x^3 - x^2 - 2*x + 2)*((x + 1)/(x^2 - 2))^(3/4) + (x^5 - 3*x^4 + x^3 + 5*x^2 - 6*x + 2)*((x + 1)/(x^2 - 2))^(1/4))/(x^6 - 4*x^5 + 4*x^4 + 4*x^3 - 11*x^2 + 7*x - 3)) + log((x^6 - 4*x^5 + 4*x^4 + 4*x^3 - 11*x^2 - 2*(x^3 - x^2 - 2*x + 2)*((x + 1)/(x^2 - 2))^(3/4) + 2*(x^4 - 2*x^3 - x^2 + 4*x - 2)*sqrt((x + 1)/(x^2 - 2)) - 2*(x^5 - 3*x^4 + x^3 + 5*x^2 - 6*x + 2)*((x + 1)/(x^2 - 2))^(1/4) + 9*x - 1)/(x^6 - 4*x^5 + 4*x^4 + 4*x^3 - 11*x^2 + 7*x - 3))","B",0
585,-1,0,0,0.000000," ","integrate(x^2*(9*a*x+10*b)/(a*x^3+b*x^2)^(1/4)/(x^10-a*x-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
586,1,1459,0,1.029224," ","integrate((x^16-1)/(x^4+1)^(1/2)/(x^16+1),x, algorithm=""fricas"")","\frac{1}{8} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\sqrt{2} + 2}} \arctan\left(\frac{{\left(4 \, x^{10} + 4 \, x^{6} - 2 \, \sqrt{2} {\left(x^{14} + x^{10} + x^{6} + x^{2}\right)} - {\left(x^{16} + 4 \, x^{12} + 4 \, x^{8} + 4 \, x^{4} - 2 \, \sqrt{2} {\left(x^{12} + 2 \, x^{8} + x^{4}\right)} + 1\right)} \sqrt{\sqrt{2} + 2}\right)} \sqrt{{\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 2}} \sqrt{\sqrt{2} \sqrt{\sqrt{2} + 2}} - 2 \, {\left({\left(2 \, x^{13} + 4 \, x^{9} + 4 \, x^{5} - \sqrt{2} {\left(x^{13} + 3 \, x^{9} + 3 \, x^{5} + x\right)} + 2 \, x\right)} \sqrt{x^{4} + 1} \sqrt{\sqrt{2} + 2} - 2 \, {\left(x^{11} + 2 \, x^{7} + x^{3} - \sqrt{2} {\left(x^{11} + x^{7} + x^{3}\right)}\right)} \sqrt{x^{4} + 1}\right)} \sqrt{\sqrt{2} \sqrt{\sqrt{2} + 2}}}{2 \, {\left(x^{16} + 1\right)}}\right) - \frac{1}{8} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{-\sqrt{2} + 2}} \arctan\left(\frac{2 \, {\left(2 \, x^{11} + 4 \, x^{7} + 2 \, x^{3} + 2 \, \sqrt{2} {\left(x^{11} + x^{7} + x^{3}\right)} + {\left(2 \, x^{13} + 4 \, x^{9} + 4 \, x^{5} + \sqrt{2} {\left(x^{13} + 3 \, x^{9} + 3 \, x^{5} + x\right)} + 2 \, x\right)} \sqrt{-\sqrt{2} + 2}\right)} \sqrt{x^{4} + 1} \sqrt{\sqrt{2} \sqrt{-\sqrt{2} + 2}} + {\left(4 \, x^{10} + 4 \, x^{6} + 2 \, \sqrt{2} {\left(x^{14} + x^{10} + x^{6} + x^{2}\right)} + {\left(x^{16} + 4 \, x^{12} + 4 \, x^{8} + 4 \, x^{4} + 2 \, \sqrt{2} {\left(x^{12} + 2 \, x^{8} + x^{4}\right)} + 1\right)} \sqrt{-\sqrt{2} + 2}\right)} \sqrt{{\left(3 \, \sqrt{2} + 4\right)} \sqrt{-\sqrt{2} + 2}} \sqrt{\sqrt{2} \sqrt{-\sqrt{2} + 2}}}{2 \, {\left(x^{16} + 1\right)}}\right) - \frac{1}{32} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\sqrt{2} + 2}} \log\left(\frac{2 \, {\left(4 \, x^{11} + 6 \, x^{7} + 4 \, x^{3} - \sqrt{2} {\left(3 \, x^{11} + 4 \, x^{7} + 3 \, x^{3}\right)}\right)} \sqrt{x^{4} + 1} \sqrt{\sqrt{2} + 2} - 2 \, {\left(2 \, x^{13} + 4 \, x^{9} + 4 \, x^{5} - \sqrt{2} {\left(x^{13} + 3 \, x^{9} + 3 \, x^{5} + x\right)} + 2 \, x\right)} \sqrt{x^{4} + 1} + {\left(x^{16} + 8 \, x^{12} + 12 \, x^{8} + 8 \, x^{4} - \sqrt{2} {\left(x^{16} + 6 \, x^{12} + 8 \, x^{8} + 6 \, x^{4} + 1\right)} - 2 \, {\left(3 \, x^{14} + 7 \, x^{10} + 7 \, x^{6} + 3 \, x^{2} - \sqrt{2} {\left(2 \, x^{14} + 5 \, x^{10} + 5 \, x^{6} + 2 \, x^{2}\right)}\right)} \sqrt{\sqrt{2} + 2} + 1\right)} \sqrt{\sqrt{2} \sqrt{\sqrt{2} + 2}}}{x^{16} + 1}\right) + \frac{1}{32} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\sqrt{2} + 2}} \log\left(\frac{2 \, {\left(4 \, x^{11} + 6 \, x^{7} + 4 \, x^{3} - \sqrt{2} {\left(3 \, x^{11} + 4 \, x^{7} + 3 \, x^{3}\right)}\right)} \sqrt{x^{4} + 1} \sqrt{\sqrt{2} + 2} - 2 \, {\left(2 \, x^{13} + 4 \, x^{9} + 4 \, x^{5} - \sqrt{2} {\left(x^{13} + 3 \, x^{9} + 3 \, x^{5} + x\right)} + 2 \, x\right)} \sqrt{x^{4} + 1} - {\left(x^{16} + 8 \, x^{12} + 12 \, x^{8} + 8 \, x^{4} - \sqrt{2} {\left(x^{16} + 6 \, x^{12} + 8 \, x^{8} + 6 \, x^{4} + 1\right)} - 2 \, {\left(3 \, x^{14} + 7 \, x^{10} + 7 \, x^{6} + 3 \, x^{2} - \sqrt{2} {\left(2 \, x^{14} + 5 \, x^{10} + 5 \, x^{6} + 2 \, x^{2}\right)}\right)} \sqrt{\sqrt{2} + 2} + 1\right)} \sqrt{\sqrt{2} \sqrt{\sqrt{2} + 2}}}{x^{16} + 1}\right) - \frac{1}{32} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{-\sqrt{2} + 2}} \log\left(-\frac{2 \, {\left(2 \, x^{13} + 4 \, x^{9} + 4 \, x^{5} + \sqrt{2} {\left(x^{13} + 3 \, x^{9} + 3 \, x^{5} + x\right)} + {\left(4 \, x^{11} + 6 \, x^{7} + 4 \, x^{3} + \sqrt{2} {\left(3 \, x^{11} + 4 \, x^{7} + 3 \, x^{3}\right)}\right)} \sqrt{-\sqrt{2} + 2} + 2 \, x\right)} \sqrt{x^{4} + 1} + {\left(x^{16} + 8 \, x^{12} + 12 \, x^{8} + 8 \, x^{4} + \sqrt{2} {\left(x^{16} + 6 \, x^{12} + 8 \, x^{8} + 6 \, x^{4} + 1\right)} + 2 \, {\left(3 \, x^{14} + 7 \, x^{10} + 7 \, x^{6} + 3 \, x^{2} + \sqrt{2} {\left(2 \, x^{14} + 5 \, x^{10} + 5 \, x^{6} + 2 \, x^{2}\right)}\right)} \sqrt{-\sqrt{2} + 2} + 1\right)} \sqrt{\sqrt{2} \sqrt{-\sqrt{2} + 2}}}{x^{16} + 1}\right) + \frac{1}{32} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{-\sqrt{2} + 2}} \log\left(-\frac{2 \, {\left(2 \, x^{13} + 4 \, x^{9} + 4 \, x^{5} + \sqrt{2} {\left(x^{13} + 3 \, x^{9} + 3 \, x^{5} + x\right)} + {\left(4 \, x^{11} + 6 \, x^{7} + 4 \, x^{3} + \sqrt{2} {\left(3 \, x^{11} + 4 \, x^{7} + 3 \, x^{3}\right)}\right)} \sqrt{-\sqrt{2} + 2} + 2 \, x\right)} \sqrt{x^{4} + 1} - {\left(x^{16} + 8 \, x^{12} + 12 \, x^{8} + 8 \, x^{4} + \sqrt{2} {\left(x^{16} + 6 \, x^{12} + 8 \, x^{8} + 6 \, x^{4} + 1\right)} + 2 \, {\left(3 \, x^{14} + 7 \, x^{10} + 7 \, x^{6} + 3 \, x^{2} + \sqrt{2} {\left(2 \, x^{14} + 5 \, x^{10} + 5 \, x^{6} + 2 \, x^{2}\right)}\right)} \sqrt{-\sqrt{2} + 2} + 1\right)} \sqrt{\sqrt{2} \sqrt{-\sqrt{2} + 2}}}{x^{16} + 1}\right)"," ",0,"1/8*sqrt(2)*sqrt(sqrt(2)*sqrt(sqrt(2) + 2))*arctan(1/2*((4*x^10 + 4*x^6 - 2*sqrt(2)*(x^14 + x^10 + x^6 + x^2) - (x^16 + 4*x^12 + 4*x^8 + 4*x^4 - 2*sqrt(2)*(x^12 + 2*x^8 + x^4) + 1)*sqrt(sqrt(2) + 2))*sqrt((3*sqrt(2) - 4)*sqrt(sqrt(2) + 2))*sqrt(sqrt(2)*sqrt(sqrt(2) + 2)) - 2*((2*x^13 + 4*x^9 + 4*x^5 - sqrt(2)*(x^13 + 3*x^9 + 3*x^5 + x) + 2*x)*sqrt(x^4 + 1)*sqrt(sqrt(2) + 2) - 2*(x^11 + 2*x^7 + x^3 - sqrt(2)*(x^11 + x^7 + x^3))*sqrt(x^4 + 1))*sqrt(sqrt(2)*sqrt(sqrt(2) + 2)))/(x^16 + 1)) - 1/8*sqrt(2)*sqrt(sqrt(2)*sqrt(-sqrt(2) + 2))*arctan(1/2*(2*(2*x^11 + 4*x^7 + 2*x^3 + 2*sqrt(2)*(x^11 + x^7 + x^3) + (2*x^13 + 4*x^9 + 4*x^5 + sqrt(2)*(x^13 + 3*x^9 + 3*x^5 + x) + 2*x)*sqrt(-sqrt(2) + 2))*sqrt(x^4 + 1)*sqrt(sqrt(2)*sqrt(-sqrt(2) + 2)) + (4*x^10 + 4*x^6 + 2*sqrt(2)*(x^14 + x^10 + x^6 + x^2) + (x^16 + 4*x^12 + 4*x^8 + 4*x^4 + 2*sqrt(2)*(x^12 + 2*x^8 + x^4) + 1)*sqrt(-sqrt(2) + 2))*sqrt((3*sqrt(2) + 4)*sqrt(-sqrt(2) + 2))*sqrt(sqrt(2)*sqrt(-sqrt(2) + 2)))/(x^16 + 1)) - 1/32*sqrt(2)*sqrt(sqrt(2)*sqrt(sqrt(2) + 2))*log((2*(4*x^11 + 6*x^7 + 4*x^3 - sqrt(2)*(3*x^11 + 4*x^7 + 3*x^3))*sqrt(x^4 + 1)*sqrt(sqrt(2) + 2) - 2*(2*x^13 + 4*x^9 + 4*x^5 - sqrt(2)*(x^13 + 3*x^9 + 3*x^5 + x) + 2*x)*sqrt(x^4 + 1) + (x^16 + 8*x^12 + 12*x^8 + 8*x^4 - sqrt(2)*(x^16 + 6*x^12 + 8*x^8 + 6*x^4 + 1) - 2*(3*x^14 + 7*x^10 + 7*x^6 + 3*x^2 - sqrt(2)*(2*x^14 + 5*x^10 + 5*x^6 + 2*x^2))*sqrt(sqrt(2) + 2) + 1)*sqrt(sqrt(2)*sqrt(sqrt(2) + 2)))/(x^16 + 1)) + 1/32*sqrt(2)*sqrt(sqrt(2)*sqrt(sqrt(2) + 2))*log((2*(4*x^11 + 6*x^7 + 4*x^3 - sqrt(2)*(3*x^11 + 4*x^7 + 3*x^3))*sqrt(x^4 + 1)*sqrt(sqrt(2) + 2) - 2*(2*x^13 + 4*x^9 + 4*x^5 - sqrt(2)*(x^13 + 3*x^9 + 3*x^5 + x) + 2*x)*sqrt(x^4 + 1) - (x^16 + 8*x^12 + 12*x^8 + 8*x^4 - sqrt(2)*(x^16 + 6*x^12 + 8*x^8 + 6*x^4 + 1) - 2*(3*x^14 + 7*x^10 + 7*x^6 + 3*x^2 - sqrt(2)*(2*x^14 + 5*x^10 + 5*x^6 + 2*x^2))*sqrt(sqrt(2) + 2) + 1)*sqrt(sqrt(2)*sqrt(sqrt(2) + 2)))/(x^16 + 1)) - 1/32*sqrt(2)*sqrt(sqrt(2)*sqrt(-sqrt(2) + 2))*log(-(2*(2*x^13 + 4*x^9 + 4*x^5 + sqrt(2)*(x^13 + 3*x^9 + 3*x^5 + x) + (4*x^11 + 6*x^7 + 4*x^3 + sqrt(2)*(3*x^11 + 4*x^7 + 3*x^3))*sqrt(-sqrt(2) + 2) + 2*x)*sqrt(x^4 + 1) + (x^16 + 8*x^12 + 12*x^8 + 8*x^4 + sqrt(2)*(x^16 + 6*x^12 + 8*x^8 + 6*x^4 + 1) + 2*(3*x^14 + 7*x^10 + 7*x^6 + 3*x^2 + sqrt(2)*(2*x^14 + 5*x^10 + 5*x^6 + 2*x^2))*sqrt(-sqrt(2) + 2) + 1)*sqrt(sqrt(2)*sqrt(-sqrt(2) + 2)))/(x^16 + 1)) + 1/32*sqrt(2)*sqrt(sqrt(2)*sqrt(-sqrt(2) + 2))*log(-(2*(2*x^13 + 4*x^9 + 4*x^5 + sqrt(2)*(x^13 + 3*x^9 + 3*x^5 + x) + (4*x^11 + 6*x^7 + 4*x^3 + sqrt(2)*(3*x^11 + 4*x^7 + 3*x^3))*sqrt(-sqrt(2) + 2) + 2*x)*sqrt(x^4 + 1) - (x^16 + 8*x^12 + 12*x^8 + 8*x^4 + sqrt(2)*(x^16 + 6*x^12 + 8*x^8 + 6*x^4 + 1) + 2*(3*x^14 + 7*x^10 + 7*x^6 + 3*x^2 + sqrt(2)*(2*x^14 + 5*x^10 + 5*x^6 + 2*x^2))*sqrt(-sqrt(2) + 2) + 1)*sqrt(sqrt(2)*sqrt(-sqrt(2) + 2)))/(x^16 + 1))","B",0
587,-1,0,0,0.000000," ","integrate((x^16-1)/(x^4-1)^(1/2)/(x^16-x^8+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
588,1,57,0,0.783797," ","integrate((x^2+x*(x^2-1)^(1/2))^(1/2)/x/(x^2-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \log\left(-4 \, x^{2} - 2 \, \sqrt{x^{2} + \sqrt{x^{2} - 1} x} {\left(\sqrt{2} x + \sqrt{2} \sqrt{x^{2} - 1}\right)} - 4 \, \sqrt{x^{2} - 1} x + 1\right)"," ",0,"1/2*sqrt(2)*log(-4*x^2 - 2*sqrt(x^2 + sqrt(x^2 - 1)*x)*(sqrt(2)*x + sqrt(2)*sqrt(x^2 - 1)) - 4*sqrt(x^2 - 1)*x + 1)","A",0
589,1,44,0,0.476066," ","integrate(x^6*(x^4+x)^(1/2),x, algorithm=""fricas"")","\frac{1}{72} \, {\left(8 \, x^{7} + 2 \, x^{4} - 3 \, x\right)} \sqrt{x^{4} + x} + \frac{1}{48} \, \log\left(-2 \, x^{3} - 2 \, \sqrt{x^{4} + x} x - 1\right)"," ",0,"1/72*(8*x^7 + 2*x^4 - 3*x)*sqrt(x^4 + x) + 1/48*log(-2*x^3 - 2*sqrt(x^4 + x)*x - 1)","A",0
590,1,41,0,0.500734," ","integrate((-1+x)*(1+x)^3/(x^2+1)^2/(x^4+x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(x^{2} + 1\right)} \arctan\left(\frac{x}{\sqrt{x^{4} + x^{2} + 1}}\right) - 2 \, \sqrt{x^{4} + x^{2} + 1}}{x^{2} + 1}"," ",0,"-((x^2 + 1)*arctan(x/sqrt(x^4 + x^2 + 1)) - 2*sqrt(x^4 + x^2 + 1))/(x^2 + 1)","A",0
591,1,39,0,0.498051," ","integrate((x^2-1)/(x^2+1)/(x^4-x^3-x^2-x+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(x^{2} + 6 \, x + 1\right)}}{6 \, \sqrt{x^{4} - x^{3} - x^{2} - x + 1}}\right)"," ",0,"-1/3*sqrt(3)*arctan(1/6*sqrt(3)*(x^2 + 6*x + 1)/sqrt(x^4 - x^3 - x^2 - x + 1))","A",0
592,1,44,0,0.491524," ","integrate((3*x^2-2*x-1)/(x^6-2*x^5-x^4+4*x^3-x^2-2*x-3)^(1/2),x, algorithm=""fricas"")","\log\left(-x^{3} + x^{2} + x - \sqrt{x^{6} - 2 \, x^{5} - x^{4} + 4 \, x^{3} - x^{2} - 2 \, x - 3} - 1\right)"," ",0,"log(-x^3 + x^2 + x - sqrt(x^6 - 2*x^5 - x^4 + 4*x^3 - x^2 - 2*x - 3) - 1)","A",0
593,1,52,0,0.467944," ","integrate((x^2-x)/(x^6-2*x^5+x^4-2*x^3+4*x^2-2*x)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(-\frac{x^{4} - x^{3} + \sqrt{x^{6} - 2 \, x^{5} + x^{4} - 2 \, x^{3} + 4 \, x^{2} - 2 \, x} x - x + 1}{x - 1}\right)"," ",0,"1/3*log(-(x^4 - x^3 + sqrt(x^6 - 2*x^5 + x^4 - 2*x^3 + 4*x^2 - 2*x)*x - x + 1)/(x - 1))","A",0
594,1,85,0,2.327137," ","integrate((x^4-1)^(1/4)/x^2,x, algorithm=""fricas"")","\frac{x \arctan\left(2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 2 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} x\right) + x \log\left(2 \, x^{4} + 2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 2 \, \sqrt{x^{4} - 1} x^{2} + 2 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} x - 1\right) - 4 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{4 \, x}"," ",0,"1/4*(x*arctan(2*(x^4 - 1)^(1/4)*x^3 + 2*(x^4 - 1)^(3/4)*x) + x*log(2*x^4 + 2*(x^4 - 1)^(1/4)*x^3 + 2*sqrt(x^4 - 1)*x^2 + 2*(x^4 - 1)^(3/4)*x - 1) - 4*(x^4 - 1)^(1/4))/x","B",0
595,1,49,0,0.471542," ","integrate((x^4-1)*(x^4+1)^(1/4)/x,x, algorithm=""fricas"")","\frac{1}{5} \, {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(x^{4} - 4\right)} + \frac{1}{2} \, \arctan\left({\left(x^{4} + 1\right)}^{\frac{1}{4}}\right) + \frac{1}{4} \, \log\left({\left(x^{4} + 1\right)}^{\frac{1}{4}} + 1\right) - \frac{1}{4} \, \log\left({\left(x^{4} + 1\right)}^{\frac{1}{4}} - 1\right)"," ",0,"1/5*(x^4 + 1)^(1/4)*(x^4 - 4) + 1/2*arctan((x^4 + 1)^(1/4)) + 1/4*log((x^4 + 1)^(1/4) + 1) - 1/4*log((x^4 + 1)^(1/4) - 1)","A",0
596,1,66,0,0.431477," ","integrate(1/(x^4+4*x+3)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \sqrt{2} \log\left(-\frac{\sqrt{3} \sqrt{2} {\left(x^{2} - x - 2\right)} + 2 \, x^{2} + \sqrt{x^{4} + 4 \, x + 3} {\left(\sqrt{3} \sqrt{2} + 3\right)} - 2 \, x - 4}{x^{2} + 2 \, x + 1}\right)"," ",0,"1/6*sqrt(3)*sqrt(2)*log(-(sqrt(3)*sqrt(2)*(x^2 - x - 2) + 2*x^2 + sqrt(x^4 + 4*x + 3)*(sqrt(3)*sqrt(2) + 3) - 2*x - 4)/(x^2 + 2*x + 1))","A",0
597,1,109,0,0.525636," ","integrate((x^4+1)*(x^4+2*x^2-1)^(1/2)/(x^4-1)/(x^4+x^2-1),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(-\frac{x^{8} + 16 \, x^{6} + 30 \, x^{4} - 4 \, \sqrt{2} {\left(x^{5} + 4 \, x^{3} - x\right)} \sqrt{x^{4} + 2 \, x^{2} - 1} - 16 \, x^{2} + 1}{x^{8} - 2 \, x^{4} + 1}\right) + \frac{1}{2} \, \log\left(\frac{x^{4} + 3 \, x^{2} + 2 \, \sqrt{x^{4} + 2 \, x^{2} - 1} x - 1}{x^{4} + x^{2} - 1}\right)"," ",0,"1/4*sqrt(2)*log(-(x^8 + 16*x^6 + 30*x^4 - 4*sqrt(2)*(x^5 + 4*x^3 - x)*sqrt(x^4 + 2*x^2 - 1) - 16*x^2 + 1)/(x^8 - 2*x^4 + 1)) + 1/2*log((x^4 + 3*x^2 + 2*sqrt(x^4 + 2*x^2 - 1)*x - 1)/(x^4 + x^2 - 1))","B",0
598,1,64,0,0.527314," ","integrate((x^4-x^2+x-1)^(1/2)*(2*x^4-x+2)/(x^4+x-1)^2,x, algorithm=""fricas"")","-\frac{{\left(x^{4} + x - 1\right)} \arctan\left(\frac{2 \, \sqrt{x^{4} - x^{2} + x - 1} x}{x^{4} - 2 \, x^{2} + x - 1}\right) + 2 \, \sqrt{x^{4} - x^{2} + x - 1} x}{2 \, {\left(x^{4} + x - 1\right)}}"," ",0,"-1/2*((x^4 + x - 1)*arctan(2*sqrt(x^4 - x^2 + x - 1)*x/(x^4 - 2*x^2 + x - 1)) + 2*sqrt(x^4 - x^2 + x - 1)*x)/(x^4 + x - 1)","A",0
599,1,193,0,0.519839," ","integrate((3*x^5+x)/(x^4-1)/(a*x^4-a-x)/(x^5-x)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(x^{4} - 1\right)} \sqrt{a} \log\left(\frac{a^{2} x^{8} - 2 \, a^{2} x^{4} + 6 \, a x^{5} - 4 \, {\left(a x^{4} - a + x\right)} \sqrt{x^{5} - x} \sqrt{a} + a^{2} - 6 \, a x + x^{2}}{a^{2} x^{8} - 2 \, a^{2} x^{4} - 2 \, a x^{5} + a^{2} + 2 \, a x + x^{2}}\right) + 4 \, \sqrt{x^{5} - x}}{2 \, {\left(x^{4} - 1\right)}}, \frac{{\left(x^{4} - 1\right)} \sqrt{-a} \arctan\left(\frac{{\left(a x^{4} - a + x\right)} \sqrt{x^{5} - x} \sqrt{-a}}{2 \, {\left(a x^{5} - a x\right)}}\right) + 2 \, \sqrt{x^{5} - x}}{x^{4} - 1}\right]"," ",0,"[1/2*((x^4 - 1)*sqrt(a)*log((a^2*x^8 - 2*a^2*x^4 + 6*a*x^5 - 4*(a*x^4 - a + x)*sqrt(x^5 - x)*sqrt(a) + a^2 - 6*a*x + x^2)/(a^2*x^8 - 2*a^2*x^4 - 2*a*x^5 + a^2 + 2*a*x + x^2)) + 4*sqrt(x^5 - x))/(x^4 - 1), ((x^4 - 1)*sqrt(-a)*arctan(1/2*(a*x^4 - a + x)*sqrt(x^5 - x)*sqrt(-a)/(a*x^5 - a*x)) + 2*sqrt(x^5 - x))/(x^4 - 1)]","A",0
600,-2,0,0,0.000000," ","integrate((x^6+x^2+1)^(1/2)*(2*x^6-1)/(x^6+1)/(2*x^6-x^2+2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero","F(-2)",0
601,1,184,0,0.633270," ","integrate((4*x^6+x)/(x^5-1)/(a*x^5-a-x)/(x^6-x)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(x^{5} - 1\right)} \sqrt{a} \log\left(-\frac{a^{2} x^{10} - 2 \, a^{2} x^{5} + 6 \, a x^{6} - 4 \, {\left(a x^{5} - a + x\right)} \sqrt{x^{6} - x} \sqrt{a} + a^{2} - 6 \, a x + x^{2}}{a^{2} x^{10} - 2 \, a^{2} x^{5} - 2 \, a x^{6} + a^{2} + 2 \, a x + x^{2}}\right) + 4 \, \sqrt{x^{6} - x}}{2 \, {\left(x^{5} - 1\right)}}, \frac{{\left(x^{5} - 1\right)} \sqrt{-a} \arctan\left(\frac{2 \, \sqrt{x^{6} - x} \sqrt{-a}}{a x^{5} - a + x}\right) + 2 \, \sqrt{x^{6} - x}}{x^{5} - 1}\right]"," ",0,"[1/2*((x^5 - 1)*sqrt(a)*log(-(a^2*x^10 - 2*a^2*x^5 + 6*a*x^6 - 4*(a*x^5 - a + x)*sqrt(x^6 - x)*sqrt(a) + a^2 - 6*a*x + x^2)/(a^2*x^10 - 2*a^2*x^5 - 2*a*x^6 + a^2 + 2*a*x + x^2)) + 4*sqrt(x^6 - x))/(x^5 - 1), ((x^5 - 1)*sqrt(-a)*arctan(2*sqrt(x^6 - x)*sqrt(-a)/(a*x^5 - a + x)) + 2*sqrt(x^6 - x))/(x^5 - 1)]","A",0
602,1,60,0,0.499067," ","integrate((6*x^4-1)*(2*x^5+x)^(1/2)/(2*x^4+1)/(4*x^8+4*x^4-x^2+1),x, algorithm=""fricas"")","-\frac{1}{2} \, \arctan\left(\frac{2 \, x^{4} - x + 1}{2 \, \sqrt{2 \, x^{5} + x}}\right) + \frac{1}{2} \, \log\left(\frac{2 \, x^{4} + x - 2 \, \sqrt{2 \, x^{5} + x} + 1}{2 \, x^{4} - x + 1}\right)"," ",0,"-1/2*arctan(1/2*(2*x^4 - x + 1)/sqrt(2*x^5 + x)) + 1/2*log((2*x^4 + x - 2*sqrt(2*x^5 + x) + 1)/(2*x^4 - x + 1))","A",0
603,1,21,0,0.440902," ","integrate((1+(1+x)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{4}{15} \, {\left(3 \, x + \sqrt{x + 1} + 1\right)} \sqrt{\sqrt{x + 1} + 1}"," ",0,"4/15*(3*x + sqrt(x + 1) + 1)*sqrt(sqrt(x + 1) + 1)","A",0
604,1,67,0,0.907490," ","integrate((1+(x^2+1)^(1/2))^(1/2)/x,x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \log\left(-\frac{x^{2} - 2 \, {\left(\sqrt{2} \sqrt{x^{2} + 1} + \sqrt{2}\right)} \sqrt{\sqrt{x^{2} + 1} + 1} + 4 \, \sqrt{x^{2} + 1} + 4}{x^{2}}\right) + 2 \, \sqrt{\sqrt{x^{2} + 1} + 1}"," ",0,"1/2*sqrt(2)*log(-(x^2 - 2*(sqrt(2)*sqrt(x^2 + 1) + sqrt(2))*sqrt(sqrt(x^2 + 1) + 1) + 4*sqrt(x^2 + 1) + 4)/x^2) + 2*sqrt(sqrt(x^2 + 1) + 1)","A",0
605,1,28,0,0.432457," ","integrate(1/(1+(x^2-6*x+9)^(1/4)),x, algorithm=""fricas"")","2 \, {\left(x^{2} - 6 \, x + 9\right)}^{\frac{1}{4}} - 2 \, \log\left({\left(x^{2} - 6 \, x + 9\right)}^{\frac{1}{4}} + 1\right)"," ",0,"2*(x^2 - 6*x + 9)^(1/4) - 2*log((x^2 - 6*x + 9)^(1/4) + 1)","A",0
606,1,91,0,0.455775," ","integrate(x^2/(x^2-2)/(x^2-1)^(3/4),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(x^{2} - 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{4} \, \sqrt{2} \log\left(-\frac{x^{4} - 2 \, \sqrt{2} {\left(x^{2} - 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{x^{2} - 1} x^{2} - 4 \, \sqrt{2} {\left(x^{2} - 1\right)}^{\frac{3}{4}} x + 4 \, x^{2} - 4}{x^{4} - 4 \, x^{2} + 4}\right)"," ",0,"-1/2*sqrt(2)*arctan(sqrt(2)*(x^2 - 1)^(1/4)/x) + 1/4*sqrt(2)*log(-(x^4 - 2*sqrt(2)*(x^2 - 1)^(1/4)*x^3 + 4*sqrt(x^2 - 1)*x^2 - 4*sqrt(2)*(x^2 - 1)^(3/4)*x + 4*x^2 - 4)/(x^4 - 4*x^2 + 4))","B",0
607,1,52,0,0.493301," ","integrate((x^2-1)*(x^4+1)^(1/2)/(x^2+1)^3,x, algorithm=""fricas"")","-\frac{\sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \arctan\left(\frac{\sqrt{2} x}{\sqrt{x^{4} + 1}}\right) + 2 \, \sqrt{x^{4} + 1} x}{4 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"-1/4*(sqrt(2)*(x^4 + 2*x^2 + 1)*arctan(sqrt(2)*x/sqrt(x^4 + 1)) + 2*sqrt(x^4 + 1)*x)/(x^4 + 2*x^2 + 1)","A",0
608,1,49,0,0.517977," ","integrate((5*x^2-46*x+77)/(-23*x^2+82*x-23)/(x^4-3*x^3-21*x^2+83*x-60)^(1/2),x, algorithm=""fricas"")","\frac{1}{42} \, \sqrt{21} \sqrt{2} \arctan\left(\frac{2 \, \sqrt{21} \sqrt{2} \sqrt{x^{4} - 3 \, x^{3} - 21 \, x^{2} + 83 \, x - 60}}{19 \, x^{2} - 86 \, x + 103}\right)"," ",0,"1/42*sqrt(21)*sqrt(2)*arctan(2*sqrt(21)*sqrt(2)*sqrt(x^4 - 3*x^3 - 21*x^2 + 83*x - 60)/(19*x^2 - 86*x + 103))","A",0
609,1,65,0,0.456083," ","integrate((-1+x)*(x^4+x^3)^(1/4)/x/(1+x),x, algorithm=""fricas"")","{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} - \frac{7}{2} \, \arctan\left(\frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{7}{4} \, \log\left(\frac{x + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{7}{4} \, \log\left(-\frac{x - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"(x^4 + x^3)^(1/4) - 7/2*arctan((x^4 + x^3)^(1/4)/x) - 7/4*log((x + (x^4 + x^3)^(1/4))/x) + 7/4*log(-(x - (x^4 + x^3)^(1/4))/x)","A",0
610,1,44,0,0.428780," ","integrate((x^4-1)*(x^4+x^3)^(1/4)/x^8,x, algorithm=""fricas"")","\frac{4 \, {\left(22748 \, x^{6} - 5687 \, x^{5} - 39955 \, x^{4} + 960 \, x^{3} - 780 \, x^{2} + 663 \, x + 13923\right)} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{348075 \, x^{7}}"," ",0,"4/348075*(22748*x^6 - 5687*x^5 - 39955*x^4 + 960*x^3 - 780*x^2 + 663*x + 13923)*(x^4 + x^3)^(1/4)/x^7","A",0
611,1,150,0,0.551175," ","integrate((4*x^4-4*x^2+4*x-1)/((-2*x^2+1)/(2*x^2+1))^(1/2)/(2*x^2+1)/(4*x^4-8*x^3+12*x^2-4*x-1),x, algorithm=""fricas"")","\frac{1}{24} \, \sqrt{6} \log\left(-\frac{16 \, x^{8} - 64 \, x^{7} - 32 \, x^{6} + 160 \, x^{5} + 8 \, x^{4} - 80 \, x^{3} + 40 \, x^{2} + 4 \, \sqrt{6} {\left(8 \, x^{7} - 24 \, x^{6} + 20 \, x^{5} - 20 \, x^{4} + 26 \, x^{3} - 14 \, x^{2} + 9 \, x - 5\right)} \sqrt{-\frac{2 \, x^{2} - 1}{2 \, x^{2} + 1}} - 88 \, x + 49}{16 \, x^{8} - 64 \, x^{7} + 160 \, x^{6} - 224 \, x^{5} + 200 \, x^{4} - 80 \, x^{3} - 8 \, x^{2} + 8 \, x + 1}\right)"," ",0,"1/24*sqrt(6)*log(-(16*x^8 - 64*x^7 - 32*x^6 + 160*x^5 + 8*x^4 - 80*x^3 + 40*x^2 + 4*sqrt(6)*(8*x^7 - 24*x^6 + 20*x^5 - 20*x^4 + 26*x^3 - 14*x^2 + 9*x - 5)*sqrt(-(2*x^2 - 1)/(2*x^2 + 1)) - 88*x + 49)/(16*x^8 - 64*x^7 + 160*x^6 - 224*x^5 + 200*x^4 - 80*x^3 - 8*x^2 + 8*x + 1))","B",0
612,1,43,0,0.451739," ","integrate((x^4-3)*(x^4-2*x^3+1)*(x^4-x^3+1)/x^6/(x^4+1)/(x^5+x)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{8} - 7 \, x^{7} - 14 \, x^{6} + 2 \, x^{4} - 7 \, x^{3} + 1\right)} {\left(x^{5} + x\right)}^{\frac{3}{4}}}{7 \, {\left(x^{10} + x^{6}\right)}}"," ",0,"4/7*(x^8 - 7*x^7 - 14*x^6 + 2*x^4 - 7*x^3 + 1)*(x^5 + x)^(3/4)/(x^10 + x^6)","A",0
613,1,42,0,0.462886," ","integrate(x^20/(x^6-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{144} \, {\left(8 \, x^{15} + 10 \, x^{9} + 15 \, x^{3}\right)} \sqrt{x^{6} - 1} - \frac{5}{48} \, \log\left(-x^{3} + \sqrt{x^{6} - 1}\right)"," ",0,"1/144*(8*x^15 + 10*x^9 + 15*x^3)*sqrt(x^6 - 1) - 5/48*log(-x^3 + sqrt(x^6 - 1))","A",0
614,1,42,0,0.455534," ","integrate(x^14*(x^6-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{144} \, {\left(8 \, x^{15} - 2 \, x^{9} - 3 \, x^{3}\right)} \sqrt{x^{6} - 1} + \frac{1}{48} \, \log\left(-x^{3} + \sqrt{x^{6} - 1}\right)"," ",0,"1/144*(8*x^15 - 2*x^9 - 3*x^3)*sqrt(x^6 - 1) + 1/48*log(-x^3 + sqrt(x^6 - 1))","A",0
615,1,42,0,0.448011," ","integrate(x^20/(x^6+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{144} \, {\left(8 \, x^{15} - 10 \, x^{9} + 15 \, x^{3}\right)} \sqrt{x^{6} + 1} + \frac{5}{48} \, \log\left(-x^{3} + \sqrt{x^{6} + 1}\right)"," ",0,"1/144*(8*x^15 - 10*x^9 + 15*x^3)*sqrt(x^6 + 1) + 5/48*log(-x^3 + sqrt(x^6 + 1))","A",0
616,1,321,0,1.160826," ","integrate((-4*x^6+x)/(x^6+x)^(1/2)/(x^10+2*x^5-a*x^2+1),x, algorithm=""fricas"")","-\frac{1}{a^{3}}^{\frac{1}{4}} \arctan\left(\frac{2 \, \sqrt{x^{6} + x} {\left(a^{3} \frac{1}{a^{3}}^{\frac{3}{4}} x + {\left(a x^{5} + a\right)} \frac{1}{a^{3}}^{\frac{1}{4}}\right)} + {\left(2 \, {\left(a^{3} x^{6} + a^{3} x\right)} \frac{1}{a^{3}}^{\frac{3}{4}} + {\left(a x^{10} + 2 \, a x^{5} + a^{2} x^{2} + a\right)} \frac{1}{a^{3}}^{\frac{1}{4}}\right)} \sqrt{a \sqrt{\frac{1}{a^{3}}}}}{x^{10} + 2 \, x^{5} - a x^{2} + 1}\right) + \frac{1}{4} \, \frac{1}{a^{3}}^{\frac{1}{4}} \log\left(-\frac{{\left(a^{2} x^{10} + 2 \, a^{2} x^{5} + a^{3} x^{2} + a^{2}\right)} \frac{1}{a^{3}}^{\frac{3}{4}} + 2 \, \sqrt{x^{6} + x} {\left(x^{5} + a^{2} \sqrt{\frac{1}{a^{3}}} x + 1\right)} + 2 \, {\left(a x^{6} + a x\right)} \frac{1}{a^{3}}^{\frac{1}{4}}}{2 \, {\left(x^{10} + 2 \, x^{5} - a x^{2} + 1\right)}}\right) - \frac{1}{4} \, \frac{1}{a^{3}}^{\frac{1}{4}} \log\left(\frac{{\left(a^{2} x^{10} + 2 \, a^{2} x^{5} + a^{3} x^{2} + a^{2}\right)} \frac{1}{a^{3}}^{\frac{3}{4}} - 2 \, \sqrt{x^{6} + x} {\left(x^{5} + a^{2} \sqrt{\frac{1}{a^{3}}} x + 1\right)} + 2 \, {\left(a x^{6} + a x\right)} \frac{1}{a^{3}}^{\frac{1}{4}}}{2 \, {\left(x^{10} + 2 \, x^{5} - a x^{2} + 1\right)}}\right)"," ",0,"-(a^(-3))^(1/4)*arctan((2*sqrt(x^6 + x)*(a^3*(a^(-3))^(3/4)*x + (a*x^5 + a)*(a^(-3))^(1/4)) + (2*(a^3*x^6 + a^3*x)*(a^(-3))^(3/4) + (a*x^10 + 2*a*x^5 + a^2*x^2 + a)*(a^(-3))^(1/4))*sqrt(a*sqrt(a^(-3))))/(x^10 + 2*x^5 - a*x^2 + 1)) + 1/4*(a^(-3))^(1/4)*log(-1/2*((a^2*x^10 + 2*a^2*x^5 + a^3*x^2 + a^2)*(a^(-3))^(3/4) + 2*sqrt(x^6 + x)*(x^5 + a^2*sqrt(a^(-3))*x + 1) + 2*(a*x^6 + a*x)*(a^(-3))^(1/4))/(x^10 + 2*x^5 - a*x^2 + 1)) - 1/4*(a^(-3))^(1/4)*log(1/2*((a^2*x^10 + 2*a^2*x^5 + a^3*x^2 + a^2)*(a^(-3))^(3/4) - 2*sqrt(x^6 + x)*(x^5 + a^2*sqrt(a^(-3))*x + 1) + 2*(a*x^6 + a*x)*(a^(-3))^(1/4))/(x^10 + 2*x^5 - a*x^2 + 1))","B",0
617,1,264,0,1.218379," ","integrate((4*x^6-x)/(x^6+x)^(1/2)/(a*x^10+2*a*x^5-x^2+a),x, algorithm=""fricas"")","\frac{\arctan\left(\frac{2 \, \sqrt{x^{6} + x} {\left(a^{\frac{1}{4}} x + \frac{a x^{5} + a}{a^{\frac{1}{4}}}\right)} + {\left(\frac{a^{2} x^{10} + 2 \, a^{2} x^{5} + a x^{2} + a^{2}}{a^{\frac{1}{4}}} + \frac{2 \, {\left(a^{2} x^{6} + a^{2} x\right)}}{a^{\frac{3}{4}}}\right)} \sqrt{\frac{1}{a^{\frac{3}{2}}}}}{a x^{10} + 2 \, a x^{5} - x^{2} + a}\right)}{a^{\frac{1}{4}}} - \frac{\log\left(-\frac{2 \, \sqrt{x^{6} + x} {\left(x^{5} + \frac{x}{\sqrt{a}} + 1\right)} + \frac{2 \, {\left(x^{6} + x\right)}}{a^{\frac{1}{4}}} + \frac{a x^{10} + 2 \, a x^{5} + x^{2} + a}{a^{\frac{3}{4}}}}{2 \, {\left(a x^{10} + 2 \, a x^{5} - x^{2} + a\right)}}\right)}{4 \, a^{\frac{1}{4}}} + \frac{\log\left(-\frac{2 \, \sqrt{x^{6} + x} {\left(x^{5} + \frac{x}{\sqrt{a}} + 1\right)} - \frac{2 \, {\left(x^{6} + x\right)}}{a^{\frac{1}{4}}} - \frac{a x^{10} + 2 \, a x^{5} + x^{2} + a}{a^{\frac{3}{4}}}}{2 \, {\left(a x^{10} + 2 \, a x^{5} - x^{2} + a\right)}}\right)}{4 \, a^{\frac{1}{4}}}"," ",0,"arctan((2*sqrt(x^6 + x)*(a^(1/4)*x + (a*x^5 + a)/a^(1/4)) + ((a^2*x^10 + 2*a^2*x^5 + a*x^2 + a^2)/a^(1/4) + 2*(a^2*x^6 + a^2*x)/a^(3/4))*sqrt(a^(-3/2)))/(a*x^10 + 2*a*x^5 - x^2 + a))/a^(1/4) - 1/4*log(-1/2*(2*sqrt(x^6 + x)*(x^5 + x/sqrt(a) + 1) + 2*(x^6 + x)/a^(1/4) + (a*x^10 + 2*a*x^5 + x^2 + a)/a^(3/4))/(a*x^10 + 2*a*x^5 - x^2 + a))/a^(1/4) + 1/4*log(-1/2*(2*sqrt(x^6 + x)*(x^5 + x/sqrt(a) + 1) - 2*(x^6 + x)/a^(1/4) - (a*x^10 + 2*a*x^5 + x^2 + a)/a^(3/4))/(a*x^10 + 2*a*x^5 - x^2 + a))/a^(1/4)","B",0
618,1,58,0,0.440964," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1)^(1/2),x, algorithm=""fricas"")","4 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 2 \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) + 2 \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right)"," ",0,"4*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 2*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) + 2*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1)","A",0
619,-1,0,0,0.000000," ","integrate((2*a*x-3*b)/(a*x^2-b*x)^(1/4)/(x^3-a*x+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
620,1,88,0,0.647095," ","integrate((x^3-4)*(x^3-x^2+2)^(1/2)/(x^3+2)/(x^3+x^2+2),x, algorithm=""fricas"")","\sqrt{2} \arctan\left(\frac{\sqrt{2} \sqrt{x^{3} - x^{2} + 2} {\left(x^{3} - 3 \, x^{2} + 2\right)}}{4 \, {\left(x^{4} - x^{3} + 2 \, x\right)}}\right) - \arctan\left(\frac{\sqrt{x^{3} - x^{2} + 2} {\left(x^{3} - 2 \, x^{2} + 2\right)}}{2 \, {\left(x^{4} - x^{3} + 2 \, x\right)}}\right)"," ",0,"sqrt(2)*arctan(1/4*sqrt(2)*sqrt(x^3 - x^2 + 2)*(x^3 - 3*x^2 + 2)/(x^4 - x^3 + 2*x)) - arctan(1/2*sqrt(x^3 - x^2 + 2)*(x^3 - 2*x^2 + 2)/(x^4 - x^3 + 2*x))","B",0
621,1,62,0,0.573557," ","integrate(x^2*(x^4-1)^(1/4),x, algorithm=""fricas"")","\frac{1}{4} \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} - \frac{1}{8} \, \arctan\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{16} \, \log\left(\frac{x + {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{16} \, \log\left(-\frac{x - {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"1/4*(x^4 - 1)^(1/4)*x^3 - 1/8*arctan((x^4 - 1)^(1/4)/x) - 1/16*log((x + (x^4 - 1)^(1/4))/x) + 1/16*log(-(x - (x^4 - 1)^(1/4))/x)","A",0
622,1,62,0,0.469296," ","integrate(x^2*(x^4+1)^(1/4),x, algorithm=""fricas"")","\frac{1}{4} \, {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + \frac{1}{8} \, \arctan\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{16} \, \log\left(\frac{x + {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{16} \, \log\left(-\frac{x - {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"1/4*(x^4 + 1)^(1/4)*x^3 + 1/8*arctan((x^4 + 1)^(1/4)/x) + 1/16*log((x + (x^4 + 1)^(1/4))/x) - 1/16*log(-(x - (x^4 + 1)^(1/4))/x)","A",0
623,1,51,0,0.579663," ","integrate((a*x^3-b)*(x^4+x)^(1/2)/x^3,x, algorithm=""fricas"")","-\frac{{\left(a - 2 \, b\right)} x^{2} \log\left(2 \, x^{3} - 2 \, \sqrt{x^{4} + x} x + 1\right) - 2 \, {\left(a x^{3} + 2 \, b\right)} \sqrt{x^{4} + x}}{6 \, x^{2}}"," ",0,"-1/6*((a - 2*b)*x^2*log(2*x^3 - 2*sqrt(x^4 + x)*x + 1) - 2*(a*x^3 + 2*b)*sqrt(x^4 + x))/x^2","A",0
624,1,1118,0,4.905254," ","integrate(1/(x^4-2)/(x^4+x^2)^(1/4),x, algorithm=""fricas"")","-\frac{1}{4} \, {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \arctan\left(-\frac{{\left(196 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 2\right)} \sqrt{\sqrt{2} + 2} + \sqrt{2} {\left(2 \, \sqrt{x^{4} + x^{2}} {\left(10 \, x^{3} + \sqrt{2} {\left(x^{3} - 10 \, x\right)} - 2 \, x\right)} + {\left(19 \, x^{5} + 16 \, x^{3} - \sqrt{2} {\left(3 \, x^{5} + 18 \, x^{3} + 10 \, x\right)} - 2 \, x\right)} \sqrt{\sqrt{2} + 2}\right)} \sqrt{-{\left(132 \, \sqrt{2} - 193\right)} \sqrt{\sqrt{2} + 2}} + 196 \, {\left(x^{4} + 2 \, x^{2} - \sqrt{2} {\left(x^{4} + x^{2}\right)}\right)} {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}}\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}}}{98 \, {\left(x^{5} - 2 \, x\right)}}\right) - \frac{1}{4} \, {\left(-\sqrt{2} + 2\right)}^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{2} {\left(2 \, \sqrt{x^{4} + x^{2}} {\left(10 \, x^{3} - \sqrt{2} {\left(x^{3} - 10 \, x\right)} - 2 \, x\right)} + {\left(19 \, x^{5} + 16 \, x^{3} + \sqrt{2} {\left(3 \, x^{5} + 18 \, x^{3} + 10 \, x\right)} - 2 \, x\right)} \sqrt{-\sqrt{2} + 2}\right)} \sqrt{{\left(132 \, \sqrt{2} + 193\right)} \sqrt{-\sqrt{2} + 2}} {\left(-\sqrt{2} + 2\right)}^{\frac{1}{4}} + 196 \, {\left({\left(x^{4} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{2} + \sqrt{2} {\left(x^{2} + 1\right)} + 2\right)} \sqrt{-\sqrt{2} + 2} + {\left(x^{4} + 2 \, x^{2} + \sqrt{2} {\left(x^{4} + x^{2}\right)}\right)} {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}}\right)} {\left(-\sqrt{2} + 2\right)}^{\frac{1}{4}}}{98 \, {\left(x^{5} - 2 \, x\right)}}\right) - \frac{1}{16} \, {\left(-\sqrt{2} + 2\right)}^{\frac{1}{4}} \log\left(\frac{4 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}} {\left(11 \, x^{2} + \sqrt{2} {\left(6 \, x^{2} + 11\right)} + 12\right)} + 2 \, {\left(34 \, x^{4} + 46 \, x^{2} + \sqrt{2} {\left(23 \, x^{4} + 34 \, x^{2}\right)}\right)} {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} \sqrt{-\sqrt{2} + 2} + {\left(56 \, x^{5} + 92 \, x^{3} + 2 \, \sqrt{x^{4} + x^{2}} {\left(34 \, x^{3} + \sqrt{2} {\left(23 \, x^{3} + 34 \, x\right)} + 46 \, x\right)} \sqrt{-\sqrt{2} + 2} + \sqrt{2} {\left(35 \, x^{5} + 68 \, x^{3} + 22 \, x\right)} + 24 \, x\right)} {\left(-\sqrt{2} + 2\right)}^{\frac{1}{4}}}{x^{5} - 2 \, x}\right) + \frac{1}{16} \, {\left(-\sqrt{2} + 2\right)}^{\frac{1}{4}} \log\left(\frac{4 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}} {\left(11 \, x^{2} + \sqrt{2} {\left(6 \, x^{2} + 11\right)} + 12\right)} + 2 \, {\left(34 \, x^{4} + 46 \, x^{2} + \sqrt{2} {\left(23 \, x^{4} + 34 \, x^{2}\right)}\right)} {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} \sqrt{-\sqrt{2} + 2} - {\left(56 \, x^{5} + 92 \, x^{3} + 2 \, \sqrt{x^{4} + x^{2}} {\left(34 \, x^{3} + \sqrt{2} {\left(23 \, x^{3} + 34 \, x\right)} + 46 \, x\right)} \sqrt{-\sqrt{2} + 2} + \sqrt{2} {\left(35 \, x^{5} + 68 \, x^{3} + 22 \, x\right)} + 24 \, x\right)} {\left(-\sqrt{2} + 2\right)}^{\frac{1}{4}}}{x^{5} - 2 \, x}\right) - \frac{1}{16} \, {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \log\left(\frac{4 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}} {\left(11 \, x^{2} - \sqrt{2} {\left(6 \, x^{2} + 11\right)} + 12\right)} + 2 \, {\left(34 \, x^{4} + 46 \, x^{2} - \sqrt{2} {\left(23 \, x^{4} + 34 \, x^{2}\right)}\right)} {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} \sqrt{\sqrt{2} + 2} + {\left(56 \, x^{5} + 92 \, x^{3} + 2 \, \sqrt{x^{4} + x^{2}} {\left(34 \, x^{3} - \sqrt{2} {\left(23 \, x^{3} + 34 \, x\right)} + 46 \, x\right)} \sqrt{\sqrt{2} + 2} - \sqrt{2} {\left(35 \, x^{5} + 68 \, x^{3} + 22 \, x\right)} + 24 \, x\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}}}{x^{5} - 2 \, x}\right) + \frac{1}{16} \, {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \log\left(\frac{4 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}} {\left(11 \, x^{2} - \sqrt{2} {\left(6 \, x^{2} + 11\right)} + 12\right)} + 2 \, {\left(34 \, x^{4} + 46 \, x^{2} - \sqrt{2} {\left(23 \, x^{4} + 34 \, x^{2}\right)}\right)} {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} \sqrt{\sqrt{2} + 2} - {\left(56 \, x^{5} + 92 \, x^{3} + 2 \, \sqrt{x^{4} + x^{2}} {\left(34 \, x^{3} - \sqrt{2} {\left(23 \, x^{3} + 34 \, x\right)} + 46 \, x\right)} \sqrt{\sqrt{2} + 2} - \sqrt{2} {\left(35 \, x^{5} + 68 \, x^{3} + 22 \, x\right)} + 24 \, x\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}}}{x^{5} - 2 \, x}\right)"," ",0,"-1/4*(sqrt(2) + 2)^(1/4)*arctan(-1/98*(196*(x^4 + x^2)^(3/4)*(x^2 - sqrt(2)*(x^2 + 1) + 2)*sqrt(sqrt(2) + 2) + sqrt(2)*(2*sqrt(x^4 + x^2)*(10*x^3 + sqrt(2)*(x^3 - 10*x) - 2*x) + (19*x^5 + 16*x^3 - sqrt(2)*(3*x^5 + 18*x^3 + 10*x) - 2*x)*sqrt(sqrt(2) + 2))*sqrt(-(132*sqrt(2) - 193)*sqrt(sqrt(2) + 2)) + 196*(x^4 + 2*x^2 - sqrt(2)*(x^4 + x^2))*(x^4 + x^2)^(1/4))*(sqrt(2) + 2)^(1/4)/(x^5 - 2*x)) - 1/4*(-sqrt(2) + 2)^(1/4)*arctan(-1/98*(sqrt(2)*(2*sqrt(x^4 + x^2)*(10*x^3 - sqrt(2)*(x^3 - 10*x) - 2*x) + (19*x^5 + 16*x^3 + sqrt(2)*(3*x^5 + 18*x^3 + 10*x) - 2*x)*sqrt(-sqrt(2) + 2))*sqrt((132*sqrt(2) + 193)*sqrt(-sqrt(2) + 2))*(-sqrt(2) + 2)^(1/4) + 196*((x^4 + x^2)^(3/4)*(x^2 + sqrt(2)*(x^2 + 1) + 2)*sqrt(-sqrt(2) + 2) + (x^4 + 2*x^2 + sqrt(2)*(x^4 + x^2))*(x^4 + x^2)^(1/4))*(-sqrt(2) + 2)^(1/4))/(x^5 - 2*x)) - 1/16*(-sqrt(2) + 2)^(1/4)*log((4*(x^4 + x^2)^(3/4)*(11*x^2 + sqrt(2)*(6*x^2 + 11) + 12) + 2*(34*x^4 + 46*x^2 + sqrt(2)*(23*x^4 + 34*x^2))*(x^4 + x^2)^(1/4)*sqrt(-sqrt(2) + 2) + (56*x^5 + 92*x^3 + 2*sqrt(x^4 + x^2)*(34*x^3 + sqrt(2)*(23*x^3 + 34*x) + 46*x)*sqrt(-sqrt(2) + 2) + sqrt(2)*(35*x^5 + 68*x^3 + 22*x) + 24*x)*(-sqrt(2) + 2)^(1/4))/(x^5 - 2*x)) + 1/16*(-sqrt(2) + 2)^(1/4)*log((4*(x^4 + x^2)^(3/4)*(11*x^2 + sqrt(2)*(6*x^2 + 11) + 12) + 2*(34*x^4 + 46*x^2 + sqrt(2)*(23*x^4 + 34*x^2))*(x^4 + x^2)^(1/4)*sqrt(-sqrt(2) + 2) - (56*x^5 + 92*x^3 + 2*sqrt(x^4 + x^2)*(34*x^3 + sqrt(2)*(23*x^3 + 34*x) + 46*x)*sqrt(-sqrt(2) + 2) + sqrt(2)*(35*x^5 + 68*x^3 + 22*x) + 24*x)*(-sqrt(2) + 2)^(1/4))/(x^5 - 2*x)) - 1/16*(sqrt(2) + 2)^(1/4)*log((4*(x^4 + x^2)^(3/4)*(11*x^2 - sqrt(2)*(6*x^2 + 11) + 12) + 2*(34*x^4 + 46*x^2 - sqrt(2)*(23*x^4 + 34*x^2))*(x^4 + x^2)^(1/4)*sqrt(sqrt(2) + 2) + (56*x^5 + 92*x^3 + 2*sqrt(x^4 + x^2)*(34*x^3 - sqrt(2)*(23*x^3 + 34*x) + 46*x)*sqrt(sqrt(2) + 2) - sqrt(2)*(35*x^5 + 68*x^3 + 22*x) + 24*x)*(sqrt(2) + 2)^(1/4))/(x^5 - 2*x)) + 1/16*(sqrt(2) + 2)^(1/4)*log((4*(x^4 + x^2)^(3/4)*(11*x^2 - sqrt(2)*(6*x^2 + 11) + 12) + 2*(34*x^4 + 46*x^2 - sqrt(2)*(23*x^4 + 34*x^2))*(x^4 + x^2)^(1/4)*sqrt(sqrt(2) + 2) - (56*x^5 + 92*x^3 + 2*sqrt(x^4 + x^2)*(34*x^3 - sqrt(2)*(23*x^3 + 34*x) + 46*x)*sqrt(sqrt(2) + 2) - sqrt(2)*(35*x^5 + 68*x^3 + 22*x) + 24*x)*(sqrt(2) + 2)^(1/4))/(x^5 - 2*x))","B",0
625,-1,0,0,0.000000," ","integrate((a*x^3-4*b)/(a*x^3-b)^(1/4)/(-a*x^3+x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
626,1,180,0,0.517673," ","integrate((3*x^5-x)/(x^4+1)/(a*x^4+a-x)/(x^5+x)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(x^{4} + 1\right)} \sqrt{a} \log\left(\frac{a^{2} x^{8} + 2 \, a^{2} x^{4} + 6 \, a x^{5} - 4 \, {\left(a x^{4} + a + x\right)} \sqrt{x^{5} + x} \sqrt{a} + a^{2} + 6 \, a x + x^{2}}{a^{2} x^{8} + 2 \, a^{2} x^{4} - 2 \, a x^{5} + a^{2} - 2 \, a x + x^{2}}\right) + 4 \, \sqrt{x^{5} + x}}{2 \, {\left(x^{4} + 1\right)}}, \frac{{\left(x^{4} + 1\right)} \sqrt{-a} \arctan\left(\frac{{\left(a x^{4} + a + x\right)} \sqrt{x^{5} + x} \sqrt{-a}}{2 \, {\left(a x^{5} + a x\right)}}\right) + 2 \, \sqrt{x^{5} + x}}{x^{4} + 1}\right]"," ",0,"[1/2*((x^4 + 1)*sqrt(a)*log((a^2*x^8 + 2*a^2*x^4 + 6*a*x^5 - 4*(a*x^4 + a + x)*sqrt(x^5 + x)*sqrt(a) + a^2 + 6*a*x + x^2)/(a^2*x^8 + 2*a^2*x^4 - 2*a*x^5 + a^2 - 2*a*x + x^2)) + 4*sqrt(x^5 + x))/(x^4 + 1), ((x^4 + 1)*sqrt(-a)*arctan(1/2*(a*x^4 + a + x)*sqrt(x^5 + x)*sqrt(-a)/(a*x^5 + a*x)) + 2*sqrt(x^5 + x))/(x^4 + 1)]","A",0
627,1,51,0,0.730520," ","integrate((x^3-1)*(x^6-1)^(1/2)/x^10,x, algorithm=""fricas"")","\frac{6 \, x^{9} \arctan\left(-x^{3} + \sqrt{x^{6} - 1}\right) - 2 \, x^{9} - {\left(2 \, x^{6} + 3 \, x^{3} - 2\right)} \sqrt{x^{6} - 1}}{18 \, x^{9}}"," ",0,"1/18*(6*x^9*arctan(-x^3 + sqrt(x^6 - 1)) - 2*x^9 - (2*x^6 + 3*x^3 - 2)*sqrt(x^6 - 1))/x^9","A",0
628,-1,0,0,0.000000," ","integrate((x^6+1)/(x^5-x^3)^(1/4)/(-x^6+x^3+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
629,-1,0,0,0.000000," ","integrate((x^6+1)/(x^5-x^3)^(1/4)/(-x^6+x^3+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
630,-1,0,0,0.000000," ","integrate(x*(5*a*x+6*b)/(a*x^3+b*x^2)^(1/4)/(x^6-a*x-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
631,1,195,0,0.694197," ","integrate((x^5-1)^(1/2)*(3*x^5+2)/(x^10-a*x^4-2*x^5+1),x, algorithm=""fricas"")","-\frac{\arctan\left(\frac{a^{\frac{1}{4}} x}{\sqrt{x^{5} - 1}}\right)}{a^{\frac{1}{4}}} - \frac{\log\left(\frac{x^{10} + a x^{4} - 2 \, x^{5} + 2 \, \sqrt{x^{5} - 1} {\left(a^{\frac{3}{4}} x^{3} + \frac{a x^{6} - a x}{a^{\frac{3}{4}}}\right)} + \frac{2 \, {\left(a x^{7} - a x^{2}\right)}}{\sqrt{a}} + 1}{x^{10} - a x^{4} - 2 \, x^{5} + 1}\right)}{4 \, a^{\frac{1}{4}}} + \frac{\log\left(\frac{x^{10} + a x^{4} - 2 \, x^{5} - 2 \, \sqrt{x^{5} - 1} {\left(a^{\frac{3}{4}} x^{3} + \frac{a x^{6} - a x}{a^{\frac{3}{4}}}\right)} + \frac{2 \, {\left(a x^{7} - a x^{2}\right)}}{\sqrt{a}} + 1}{x^{10} - a x^{4} - 2 \, x^{5} + 1}\right)}{4 \, a^{\frac{1}{4}}}"," ",0,"-arctan(a^(1/4)*x/sqrt(x^5 - 1))/a^(1/4) - 1/4*log((x^10 + a*x^4 - 2*x^5 + 2*sqrt(x^5 - 1)*(a^(3/4)*x^3 + (a*x^6 - a*x)/a^(3/4)) + 2*(a*x^7 - a*x^2)/sqrt(a) + 1)/(x^10 - a*x^4 - 2*x^5 + 1))/a^(1/4) + 1/4*log((x^10 + a*x^4 - 2*x^5 - 2*sqrt(x^5 - 1)*(a^(3/4)*x^3 + (a*x^6 - a*x)/a^(3/4)) + 2*(a*x^7 - a*x^2)/sqrt(a) + 1)/(x^10 - a*x^4 - 2*x^5 + 1))/a^(1/4)","B",0
632,1,242,0,0.779571," ","integrate((x^5-1)^(1/2)*(3*x^5+2)/(a*x^10-2*a*x^5-x^4+a),x, algorithm=""fricas"")","-\frac{1}{a^{3}}^{\frac{1}{4}} \arctan\left(\frac{a^{2} \frac{1}{a^{3}}^{\frac{3}{4}} x}{\sqrt{x^{5} - 1}}\right) - \frac{1}{4} \, \frac{1}{a^{3}}^{\frac{1}{4}} \log\left(\frac{a x^{10} - 2 \, a x^{5} + x^{4} + 2 \, \sqrt{x^{5} - 1} {\left(a \frac{1}{a^{3}}^{\frac{1}{4}} x^{3} + {\left(a^{3} x^{6} - a^{3} x\right)} \frac{1}{a^{3}}^{\frac{3}{4}}\right)} + 2 \, {\left(a^{2} x^{7} - a^{2} x^{2}\right)} \sqrt{\frac{1}{a^{3}}} + a}{a x^{10} - 2 \, a x^{5} - x^{4} + a}\right) + \frac{1}{4} \, \frac{1}{a^{3}}^{\frac{1}{4}} \log\left(\frac{a x^{10} - 2 \, a x^{5} + x^{4} - 2 \, \sqrt{x^{5} - 1} {\left(a \frac{1}{a^{3}}^{\frac{1}{4}} x^{3} + {\left(a^{3} x^{6} - a^{3} x\right)} \frac{1}{a^{3}}^{\frac{3}{4}}\right)} + 2 \, {\left(a^{2} x^{7} - a^{2} x^{2}\right)} \sqrt{\frac{1}{a^{3}}} + a}{a x^{10} - 2 \, a x^{5} - x^{4} + a}\right)"," ",0,"-(a^(-3))^(1/4)*arctan(a^2*(a^(-3))^(3/4)*x/sqrt(x^5 - 1)) - 1/4*(a^(-3))^(1/4)*log((a*x^10 - 2*a*x^5 + x^4 + 2*sqrt(x^5 - 1)*(a*(a^(-3))^(1/4)*x^3 + (a^3*x^6 - a^3*x)*(a^(-3))^(3/4)) + 2*(a^2*x^7 - a^2*x^2)*sqrt(a^(-3)) + a)/(a*x^10 - 2*a*x^5 - x^4 + a)) + 1/4*(a^(-3))^(1/4)*log((a*x^10 - 2*a*x^5 + x^4 - 2*sqrt(x^5 - 1)*(a*(a^(-3))^(1/4)*x^3 + (a^3*x^6 - a^3*x)*(a^(-3))^(3/4)) + 2*(a^2*x^7 - a^2*x^2)*sqrt(a^(-3)) + a)/(a*x^10 - 2*a*x^5 - x^4 + a))","B",0
633,1,238,0,0.706872," ","integrate((x^5+1)^(1/2)*(3*x^5-2)/(a*x^10+2*a*x^5-x^4+a),x, algorithm=""fricas"")","-\frac{1}{a^{3}}^{\frac{1}{4}} \arctan\left(\frac{a^{2} \frac{1}{a^{3}}^{\frac{3}{4}} x}{\sqrt{x^{5} + 1}}\right) - \frac{1}{4} \, \frac{1}{a^{3}}^{\frac{1}{4}} \log\left(\frac{a x^{10} + 2 \, a x^{5} + x^{4} + 2 \, \sqrt{x^{5} + 1} {\left(a \frac{1}{a^{3}}^{\frac{1}{4}} x^{3} + {\left(a^{3} x^{6} + a^{3} x\right)} \frac{1}{a^{3}}^{\frac{3}{4}}\right)} + 2 \, {\left(a^{2} x^{7} + a^{2} x^{2}\right)} \sqrt{\frac{1}{a^{3}}} + a}{a x^{10} + 2 \, a x^{5} - x^{4} + a}\right) + \frac{1}{4} \, \frac{1}{a^{3}}^{\frac{1}{4}} \log\left(\frac{a x^{10} + 2 \, a x^{5} + x^{4} - 2 \, \sqrt{x^{5} + 1} {\left(a \frac{1}{a^{3}}^{\frac{1}{4}} x^{3} + {\left(a^{3} x^{6} + a^{3} x\right)} \frac{1}{a^{3}}^{\frac{3}{4}}\right)} + 2 \, {\left(a^{2} x^{7} + a^{2} x^{2}\right)} \sqrt{\frac{1}{a^{3}}} + a}{a x^{10} + 2 \, a x^{5} - x^{4} + a}\right)"," ",0,"-(a^(-3))^(1/4)*arctan(a^2*(a^(-3))^(3/4)*x/sqrt(x^5 + 1)) - 1/4*(a^(-3))^(1/4)*log((a*x^10 + 2*a*x^5 + x^4 + 2*sqrt(x^5 + 1)*(a*(a^(-3))^(1/4)*x^3 + (a^3*x^6 + a^3*x)*(a^(-3))^(3/4)) + 2*(a^2*x^7 + a^2*x^2)*sqrt(a^(-3)) + a)/(a*x^10 + 2*a*x^5 - x^4 + a)) + 1/4*(a^(-3))^(1/4)*log((a*x^10 + 2*a*x^5 + x^4 - 2*sqrt(x^5 + 1)*(a*(a^(-3))^(1/4)*x^3 + (a^3*x^6 + a^3*x)*(a^(-3))^(3/4)) + 2*(a^2*x^7 + a^2*x^2)*sqrt(a^(-3)) + a)/(a*x^10 + 2*a*x^5 - x^4 + a))","B",0
634,1,51,0,1.359686," ","integrate(1/(1+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{2} x \arctan\left(\frac{\sqrt{2} \sqrt{\sqrt{x^{2} + 1} + 1}}{x}\right) + 2 \, \sqrt{\sqrt{x^{2} + 1} + 1} {\left(\sqrt{x^{2} + 1} - 1\right)}}{x}"," ",0,"(sqrt(2)*x*arctan(sqrt(2)*sqrt(sqrt(x^2 + 1) + 1)/x) + 2*sqrt(sqrt(x^2 + 1) + 1)*(sqrt(x^2 + 1) - 1))/x","A",0
635,1,48,0,0.538155," ","integrate(x^6*(x^4-x)^(1/2),x, algorithm=""fricas"")","\frac{1}{72} \, {\left(8 \, x^{7} - 2 \, x^{4} - 3 \, x\right)} \sqrt{x^{4} - x} + \frac{1}{48} \, \log\left(2 \, x^{3} - 2 \, \sqrt{x^{4} - x} x - 1\right)"," ",0,"1/72*(8*x^7 - 2*x^4 - 3*x)*sqrt(x^4 - x) + 1/48*log(2*x^3 - 2*sqrt(x^4 - x)*x - 1)","A",0
636,1,46,0,0.527820," ","integrate((x^2-1)*(x^4-x^3)^(1/4)/x^8,x, algorithm=""fricas"")","\frac{4 \, {\left(5248 \, x^{6} + 1312 \, x^{5} + 820 \, x^{4} + 615 \, x^{3} - 21255 \, x^{2} - 663 \, x + 13923\right)} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{348075 \, x^{7}}"," ",0,"4/348075*(5248*x^6 + 1312*x^5 + 820*x^4 + 615*x^3 - 21255*x^2 - 663*x + 13923)*(x^4 - x^3)^(1/4)/x^7","A",0
637,1,42,0,0.517675," ","integrate((x^3-1)*(x^6-1)^(1/2)/x/(x^3+1),x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{x^{6} - 1} + \frac{2}{3} \, \arctan\left(-x^{3} + \sqrt{x^{6} - 1}\right) + \frac{2}{3} \, \log\left(-x^{3} + \sqrt{x^{6} - 1}\right)"," ",0,"1/3*sqrt(x^6 - 1) + 2/3*arctan(-x^3 + sqrt(x^6 - 1)) + 2/3*log(-x^3 + sqrt(x^6 - 1))","A",0
638,1,42,0,0.671693," ","integrate((x^3+1)*(x^6-1)^(1/2)/x/(x^3-1),x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{x^{6} - 1} + \frac{2}{3} \, \arctan\left(-x^{3} + \sqrt{x^{6} - 1}\right) - \frac{2}{3} \, \log\left(-x^{3} + \sqrt{x^{6} - 1}\right)"," ",0,"1/3*sqrt(x^6 - 1) + 2/3*arctan(-x^3 + sqrt(x^6 - 1)) - 2/3*log(-x^3 + sqrt(x^6 - 1))","A",0
639,-1,0,0,0.000000," ","integrate((a*x^4+2*b)/(a*x^4+b)^(1/4)/(x^8-2*a*x^4-2*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
640,-1,0,0,0.000000," ","integrate((a*x^4+2*b)/(a*x^4+b)^(1/4)/(x^8-2*a*x^4-2*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
641,-1,0,0,0.000000," ","integrate((x^6-1)*(x^6+1)/(x^7-x^4+x)^(1/4)/(x^12+3*x^6+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
642,1,28,0,1.050045," ","integrate((1+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(x^{2} + \sqrt{x^{2} + 1} - 1\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{3 \, x}"," ",0,"2/3*(x^2 + sqrt(x^2 + 1) - 1)*sqrt(sqrt(x^2 + 1) + 1)/x","A",0
643,1,43,0,2.602276," ","integrate((1+(x^2+1)^(1/2))^(1/2)/x^2,x, algorithm=""fricas"")","-\frac{\sqrt{2} x \arctan\left(\frac{\sqrt{2} \sqrt{\sqrt{x^{2} + 1} + 1}}{x}\right) + 2 \, \sqrt{\sqrt{x^{2} + 1} + 1}}{2 \, x}"," ",0,"-1/2*(sqrt(2)*x*arctan(sqrt(2)*sqrt(sqrt(x^2 + 1) + 1)/x) + 2*sqrt(sqrt(x^2 + 1) + 1))/x","A",0
644,1,110,0,0.883349," ","integrate(1/x/(a*x^2+b)^(3/4),x, algorithm=""fricas"")","2 \, \frac{1}{b^{3}}^{\frac{1}{4}} \arctan\left(\sqrt{b^{2} \sqrt{\frac{1}{b^{3}}} + \sqrt{a x^{2} + b}} b^{2} \frac{1}{b^{3}}^{\frac{3}{4}} - {\left(a x^{2} + b\right)}^{\frac{1}{4}} b^{2} \frac{1}{b^{3}}^{\frac{3}{4}}\right) - \frac{1}{2} \, \frac{1}{b^{3}}^{\frac{1}{4}} \log\left(b \frac{1}{b^{3}}^{\frac{1}{4}} + {\left(a x^{2} + b\right)}^{\frac{1}{4}}\right) + \frac{1}{2} \, \frac{1}{b^{3}}^{\frac{1}{4}} \log\left(-b \frac{1}{b^{3}}^{\frac{1}{4}} + {\left(a x^{2} + b\right)}^{\frac{1}{4}}\right)"," ",0,"2*(b^(-3))^(1/4)*arctan(sqrt(b^2*sqrt(b^(-3)) + sqrt(a*x^2 + b))*b^2*(b^(-3))^(3/4) - (a*x^2 + b)^(1/4)*b^2*(b^(-3))^(3/4)) - 1/2*(b^(-3))^(1/4)*log(b*(b^(-3))^(1/4) + (a*x^2 + b)^(1/4)) + 1/2*(b^(-3))^(1/4)*log(-b*(b^(-3))^(1/4) + (a*x^2 + b)^(1/4))","B",0
645,1,91,0,0.634655," ","integrate((-7+x)/(-11+5*x)/(x^4-3*x^3-21*x^2+83*x-60)^(1/2),x, algorithm=""fricas"")","\frac{1}{36} \, \sqrt{3} \sqrt{2} \log\left(-\frac{1057 \, x^{4} - 6796 \, x^{3} - 12 \, \sqrt{3} \sqrt{2} \sqrt{x^{4} - 3 \, x^{3} - 21 \, x^{2} + 83 \, x - 60} {\left(29 \, x^{2} - 106 \, x + 41\right)} + 9078 \, x^{2} + 9236 \, x - 11279}{625 \, x^{4} - 5500 \, x^{3} + 18150 \, x^{2} - 26620 \, x + 14641}\right)"," ",0,"1/36*sqrt(3)*sqrt(2)*log(-(1057*x^4 - 6796*x^3 - 12*sqrt(3)*sqrt(2)*sqrt(x^4 - 3*x^3 - 21*x^2 + 83*x - 60)*(29*x^2 - 106*x + 41) + 9078*x^2 + 9236*x - 11279)/(625*x^4 - 5500*x^3 + 18150*x^2 - 26620*x + 14641))","B",0
646,1,38,0,1.046501," ","integrate((x^6-2)*(x^6-1)^(1/2)/x/(x^6+2),x, algorithm=""fricas"")","-\frac{2}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} \sqrt{x^{6} - 1}\right) + \frac{1}{3} \, \sqrt{x^{6} - 1} + \frac{1}{3} \, \arctan\left(\sqrt{x^{6} - 1}\right)"," ",0,"-2/3*sqrt(3)*arctan(1/3*sqrt(3)*sqrt(x^6 - 1)) + 1/3*sqrt(x^6 - 1) + 1/3*arctan(sqrt(x^6 - 1))","A",0
647,1,75,0,0.609622," ","integrate((x^6-x^2-1)^(1/2)*(2*x^6+1)/(x^6-1)/(2*x^6+x^2-2),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{3} \sqrt{2} \arctan\left(\frac{2 \, \sqrt{3} \sqrt{2} \sqrt{x^{6} - x^{2} - 1} x}{2 \, x^{6} - 5 \, x^{2} - 2}\right) + \frac{1}{2} \, \arctan\left(\frac{2 \, \sqrt{x^{6} - x^{2} - 1} x}{x^{6} - 2 \, x^{2} - 1}\right)"," ",0,"-1/4*sqrt(3)*sqrt(2)*arctan(2*sqrt(3)*sqrt(2)*sqrt(x^6 - x^2 - 1)*x/(2*x^6 - 5*x^2 - 2)) + 1/2*arctan(2*sqrt(x^6 - x^2 - 1)*x/(x^6 - 2*x^2 - 1))","A",0
648,-1,0,0,0.000000," ","integrate(x*(5*a*x^3-8*b)/(a*x^3-b)^(1/4)/(x^8-a*x^3+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
649,1,331,0,100.272587," ","integrate((-9*x^3-x^2+16*x+2)/((1+x)/(x^2-2))^(1/4)/(x^2-2)/(x^9-x^8-5*x^7+5*x^6+9*x^5-9*x^4-7*x^3+7*x^2+2*x-3),x, algorithm=""fricas"")","-\arctan\left(\frac{2 \, {\left({\left(x^{3} - x^{2} - 2 \, x + 2\right)} \left(\frac{x + 1}{x^{2} - 2}\right)^{\frac{3}{4}} + {\left(x^{7} - x^{6} - 4 \, x^{5} + 4 \, x^{4} + 5 \, x^{3} - 5 \, x^{2} - 2 \, x + 2\right)} \left(\frac{x + 1}{x^{2} - 2}\right)^{\frac{1}{4}}\right)}}{x^{9} - x^{8} - 5 \, x^{7} + 5 \, x^{6} + 9 \, x^{5} - 9 \, x^{4} - 7 \, x^{3} + 7 \, x^{2} + 2 \, x - 3}\right) + \log\left(-\frac{x^{9} - x^{8} - 5 \, x^{7} + 5 \, x^{6} + 9 \, x^{5} - 9 \, x^{4} - 7 \, x^{3} + 7 \, x^{2} + 2 \, {\left(x^{3} - x^{2} - 2 \, x + 2\right)} \left(\frac{x + 1}{x^{2} - 2}\right)^{\frac{3}{4}} + 2 \, {\left(x^{5} - x^{4} - 3 \, x^{3} + 3 \, x^{2} + 2 \, x - 2\right)} \sqrt{\frac{x + 1}{x^{2} - 2}} + 2 \, {\left(x^{7} - x^{6} - 4 \, x^{5} + 4 \, x^{4} + 5 \, x^{3} - 5 \, x^{2} - 2 \, x + 2\right)} \left(\frac{x + 1}{x^{2} - 2}\right)^{\frac{1}{4}} + 2 \, x - 1}{x^{9} - x^{8} - 5 \, x^{7} + 5 \, x^{6} + 9 \, x^{5} - 9 \, x^{4} - 7 \, x^{3} + 7 \, x^{2} + 2 \, x - 3}\right)"," ",0,"-arctan(2*((x^3 - x^2 - 2*x + 2)*((x + 1)/(x^2 - 2))^(3/4) + (x^7 - x^6 - 4*x^5 + 4*x^4 + 5*x^3 - 5*x^2 - 2*x + 2)*((x + 1)/(x^2 - 2))^(1/4))/(x^9 - x^8 - 5*x^7 + 5*x^6 + 9*x^5 - 9*x^4 - 7*x^3 + 7*x^2 + 2*x - 3)) + log(-(x^9 - x^8 - 5*x^7 + 5*x^6 + 9*x^5 - 9*x^4 - 7*x^3 + 7*x^2 + 2*(x^3 - x^2 - 2*x + 2)*((x + 1)/(x^2 - 2))^(3/4) + 2*(x^5 - x^4 - 3*x^3 + 3*x^2 + 2*x - 2)*sqrt((x + 1)/(x^2 - 2)) + 2*(x^7 - x^6 - 4*x^5 + 4*x^4 + 5*x^3 - 5*x^2 - 2*x + 2)*((x + 1)/(x^2 - 2))^(1/4) + 2*x - 1)/(x^9 - x^8 - 5*x^7 + 5*x^6 + 9*x^5 - 9*x^4 - 7*x^3 + 7*x^2 + 2*x - 3))","B",0
650,1,45,0,1.357825," ","integrate((7*x^8-1)/(x^8+1)/(3*x^16-x^9+6*x^8+x^2-x+3)^(1/2),x, algorithm=""fricas"")","\log\left(-\frac{x^{8} - 2 \, x + 2 \, \sqrt{3 \, x^{16} - x^{9} + 6 \, x^{8} + x^{2} - x + 3} + 1}{x^{8} + 1}\right)"," ",0,"log(-(x^8 - 2*x + 2*sqrt(3*x^16 - x^9 + 6*x^8 + x^2 - x + 3) + 1)/(x^8 + 1))","A",0
651,1,43,0,1.427961," ","integrate((1+(x^2+1)^(1/2))^(1/2)/x^2/(x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{2} x \arctan\left(\frac{\sqrt{2} \sqrt{\sqrt{x^{2} + 1} + 1}}{x}\right) - 2 \, \sqrt{\sqrt{x^{2} + 1} + 1}}{2 \, x}"," ",0,"1/2*(sqrt(2)*x*arctan(sqrt(2)*sqrt(sqrt(x^2 + 1) + 1)/x) - 2*sqrt(sqrt(x^2 + 1) + 1))/x","A",0
652,1,106,0,0.458901," ","integrate(x/(x+(1+(1+x)^(1/2))^(1/2)),x, algorithm=""fricas"")","\frac{4}{5} \, \sqrt{5} \log\left(\frac{2 \, x^{2} - \sqrt{5} {\left(3 \, x + 1\right)} - {\left(\sqrt{5} {\left(x + 2\right)} - 5 \, x\right)} \sqrt{x + 1} + {\left(\sqrt{5} {\left(x + 2\right)} + {\left(\sqrt{5} {\left(2 \, x - 1\right)} - 5\right)} \sqrt{x + 1} - 5 \, x\right)} \sqrt{\sqrt{x + 1} + 1} + 3 \, x + 3}{x^{2} - x - 1}\right) + x - 4 \, \sqrt{\sqrt{x + 1} + 1}"," ",0,"4/5*sqrt(5)*log((2*x^2 - sqrt(5)*(3*x + 1) - (sqrt(5)*(x + 2) - 5*x)*sqrt(x + 1) + (sqrt(5)*(x + 2) + (sqrt(5)*(2*x - 1) - 5)*sqrt(x + 1) - 5*x)*sqrt(sqrt(x + 1) + 1) + 3*x + 3)/(x^2 - x - 1)) + x - 4*sqrt(sqrt(x + 1) + 1)","B",0
653,1,94,0,0.472286," ","integrate((a+2*x)/(a*x+x^2+b)^(1/4)/(2*a*x+2*x^2+2*b-1),x, algorithm=""fricas"")","-\frac{1}{2} \cdot 8^{\frac{3}{4}} \arctan\left(\frac{1}{8} \cdot 8^{\frac{3}{4}} \sqrt{2 \, \sqrt{2} + 4 \, \sqrt{a x + x^{2} + b}} - \frac{1}{4} \cdot 8^{\frac{3}{4}} {\left(a x + x^{2} + b\right)}^{\frac{1}{4}}\right) - \frac{1}{8} \cdot 8^{\frac{3}{4}} \log\left(8^{\frac{1}{4}} + 2 \, {\left(a x + x^{2} + b\right)}^{\frac{1}{4}}\right) + \frac{1}{8} \cdot 8^{\frac{3}{4}} \log\left(-8^{\frac{1}{4}} + 2 \, {\left(a x + x^{2} + b\right)}^{\frac{1}{4}}\right)"," ",0,"-1/2*8^(3/4)*arctan(1/8*8^(3/4)*sqrt(2*sqrt(2) + 4*sqrt(a*x + x^2 + b)) - 1/4*8^(3/4)*(a*x + x^2 + b)^(1/4)) - 1/8*8^(3/4)*log(8^(1/4) + 2*(a*x + x^2 + b)^(1/4)) + 1/8*8^(3/4)*log(-8^(1/4) + 2*(a*x + x^2 + b)^(1/4))","B",0
654,1,65,0,0.463836," ","integrate(1/x^7/(x^3+1)^(1/4),x, algorithm=""fricas"")","\frac{10 \, x^{6} \arctan\left({\left(x^{3} + 1\right)}^{\frac{1}{4}}\right) - 5 \, x^{6} \log\left({\left(x^{3} + 1\right)}^{\frac{1}{4}} + 1\right) + 5 \, x^{6} \log\left({\left(x^{3} + 1\right)}^{\frac{1}{4}} - 1\right) + 4 \, {\left(5 \, x^{3} - 4\right)} {\left(x^{3} + 1\right)}^{\frac{3}{4}}}{96 \, x^{6}}"," ",0,"1/96*(10*x^6*arctan((x^3 + 1)^(1/4)) - 5*x^6*log((x^3 + 1)^(1/4) + 1) + 5*x^6*log((x^3 + 1)^(1/4) - 1) + 4*(5*x^3 - 4)*(x^3 + 1)^(3/4))/x^6","A",0
655,1,63,0,0.461666," ","integrate((x^3+1)^(1/4)/x^7,x, algorithm=""fricas"")","\frac{6 \, x^{6} \arctan\left({\left(x^{3} + 1\right)}^{\frac{1}{4}}\right) + 3 \, x^{6} \log\left({\left(x^{3} + 1\right)}^{\frac{1}{4}} + 1\right) - 3 \, x^{6} \log\left({\left(x^{3} + 1\right)}^{\frac{1}{4}} - 1\right) - 4 \, {\left(x^{3} + 4\right)} {\left(x^{3} + 1\right)}^{\frac{1}{4}}}{96 \, x^{6}}"," ",0,"1/96*(6*x^6*arctan((x^3 + 1)^(1/4)) + 3*x^6*log((x^3 + 1)^(1/4) + 1) - 3*x^6*log((x^3 + 1)^(1/4) - 1) - 4*(x^3 + 4)*(x^3 + 1)^(1/4))/x^6","A",0
656,1,103,0,0.463521," ","integrate((a*x^3+b)^(1/2)*(a*x^3+2*b)/x,x, algorithm=""fricas"")","\left[\frac{2}{3} \, b^{\frac{3}{2}} \log\left(\frac{a x^{3} - 2 \, \sqrt{a x^{3} + b} \sqrt{b} + 2 \, b}{x^{3}}\right) + \frac{2}{9} \, {\left(a x^{3} + 7 \, b\right)} \sqrt{a x^{3} + b}, \frac{4}{3} \, \sqrt{-b} b \arctan\left(\frac{\sqrt{a x^{3} + b} \sqrt{-b}}{b}\right) + \frac{2}{9} \, {\left(a x^{3} + 7 \, b\right)} \sqrt{a x^{3} + b}\right]"," ",0,"[2/3*b^(3/2)*log((a*x^3 - 2*sqrt(a*x^3 + b)*sqrt(b) + 2*b)/x^3) + 2/9*(a*x^3 + 7*b)*sqrt(a*x^3 + b), 4/3*sqrt(-b)*b*arctan(sqrt(a*x^3 + b)*sqrt(-b)/b) + 2/9*(a*x^3 + 7*b)*sqrt(a*x^3 + b)]","A",0
657,1,55,0,0.456387," ","integrate((x^3+1)*(x^6-1)^(1/2)/x^13/(x^3-1),x, algorithm=""fricas"")","\frac{42 \, x^{12} \arctan\left(-x^{3} + \sqrt{x^{6} - 1}\right) + 32 \, x^{12} + {\left(32 \, x^{9} + 21 \, x^{6} + 16 \, x^{3} + 6\right)} \sqrt{x^{6} - 1}}{72 \, x^{12}}"," ",0,"1/72*(42*x^12*arctan(-x^3 + sqrt(x^6 - 1)) + 32*x^12 + (32*x^9 + 21*x^6 + 16*x^3 + 6)*sqrt(x^6 - 1))/x^12","A",0
658,1,55,0,0.508780," ","integrate((x^4+x)^(1/2)*(a*x^6-b)/x^6,x, algorithm=""fricas"")","\frac{3 \, a x^{5} \log\left(-2 \, x^{3} - 2 \, \sqrt{x^{4} + x} x - 1\right) + 2 \, {\left(3 \, a x^{6} + 2 \, b x^{3} + 2 \, b\right)} \sqrt{x^{4} + x}}{18 \, x^{5}}"," ",0,"1/18*(3*a*x^5*log(-2*x^3 - 2*sqrt(x^4 + x)*x - 1) + 2*(3*a*x^6 + 2*b*x^3 + 2*b)*sqrt(x^4 + x))/x^5","A",0
659,-1,0,0,0.000000," ","integrate((5*a*x^3-7*b*x)/(a*x^3-b*x)^(1/4)/(x^7-a*x^2+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
660,1,231,0,0.723192," ","integrate((3*x^5+x)/(x^5-x)^(1/2)/(x^8-2*x^4-a*x^2+1),x, algorithm=""fricas"")","\frac{1}{a^{3}}^{\frac{1}{4}} \arctan\left(\frac{\sqrt{x^{5} - x} a \frac{1}{a^{3}}^{\frac{1}{4}}}{x^{4} - 1}\right) - \frac{1}{4} \, \frac{1}{a^{3}}^{\frac{1}{4}} \log\left(\frac{x^{8} - 2 \, x^{4} + a x^{2} + 2 \, \sqrt{x^{5} - x} {\left(a^{3} \frac{1}{a^{3}}^{\frac{3}{4}} x + {\left(a x^{4} - a\right)} \frac{1}{a^{3}}^{\frac{1}{4}}\right)} + 2 \, {\left(a^{2} x^{5} - a^{2} x\right)} \sqrt{\frac{1}{a^{3}}} + 1}{x^{8} - 2 \, x^{4} - a x^{2} + 1}\right) + \frac{1}{4} \, \frac{1}{a^{3}}^{\frac{1}{4}} \log\left(\frac{x^{8} - 2 \, x^{4} + a x^{2} - 2 \, \sqrt{x^{5} - x} {\left(a^{3} \frac{1}{a^{3}}^{\frac{3}{4}} x + {\left(a x^{4} - a\right)} \frac{1}{a^{3}}^{\frac{1}{4}}\right)} + 2 \, {\left(a^{2} x^{5} - a^{2} x\right)} \sqrt{\frac{1}{a^{3}}} + 1}{x^{8} - 2 \, x^{4} - a x^{2} + 1}\right)"," ",0,"(a^(-3))^(1/4)*arctan(sqrt(x^5 - x)*a*(a^(-3))^(1/4)/(x^4 - 1)) - 1/4*(a^(-3))^(1/4)*log((x^8 - 2*x^4 + a*x^2 + 2*sqrt(x^5 - x)*(a^3*(a^(-3))^(3/4)*x + (a*x^4 - a)*(a^(-3))^(1/4)) + 2*(a^2*x^5 - a^2*x)*sqrt(a^(-3)) + 1)/(x^8 - 2*x^4 - a*x^2 + 1)) + 1/4*(a^(-3))^(1/4)*log((x^8 - 2*x^4 + a*x^2 - 2*sqrt(x^5 - x)*(a^3*(a^(-3))^(3/4)*x + (a*x^4 - a)*(a^(-3))^(1/4)) + 2*(a^2*x^5 - a^2*x)*sqrt(a^(-3)) + 1)/(x^8 - 2*x^4 - a*x^2 + 1))","B",0
661,1,202,0,0.730407," ","integrate((3*x^5+x)/(x^5-x)^(1/2)/(a*x^8-2*a*x^4-x^2+a),x, algorithm=""fricas"")","\frac{\arctan\left(\frac{\sqrt{x^{5} - x}}{{\left(x^{4} - 1\right)} a^{\frac{1}{4}}}\right)}{a^{\frac{1}{4}}} - \frac{\log\left(\frac{a x^{8} - 2 \, a x^{4} + x^{2} + 2 \, \sqrt{x^{5} - x} {\left(a^{\frac{1}{4}} x + \frac{a x^{4} - a}{a^{\frac{1}{4}}}\right)} + a + \frac{2 \, {\left(a x^{5} - a x\right)}}{\sqrt{a}}}{a x^{8} - 2 \, a x^{4} - x^{2} + a}\right)}{4 \, a^{\frac{1}{4}}} + \frac{\log\left(\frac{a x^{8} - 2 \, a x^{4} + x^{2} - 2 \, \sqrt{x^{5} - x} {\left(a^{\frac{1}{4}} x + \frac{a x^{4} - a}{a^{\frac{1}{4}}}\right)} + a + \frac{2 \, {\left(a x^{5} - a x\right)}}{\sqrt{a}}}{a x^{8} - 2 \, a x^{4} - x^{2} + a}\right)}{4 \, a^{\frac{1}{4}}}"," ",0,"arctan(sqrt(x^5 - x)/((x^4 - 1)*a^(1/4)))/a^(1/4) - 1/4*log((a*x^8 - 2*a*x^4 + x^2 + 2*sqrt(x^5 - x)*(a^(1/4)*x + (a*x^4 - a)/a^(1/4)) + a + 2*(a*x^5 - a*x)/sqrt(a))/(a*x^8 - 2*a*x^4 - x^2 + a))/a^(1/4) + 1/4*log((a*x^8 - 2*a*x^4 + x^2 - 2*sqrt(x^5 - x)*(a^(1/4)*x + (a*x^4 - a)/a^(1/4)) + a + 2*(a*x^5 - a*x)/sqrt(a))/(a*x^8 - 2*a*x^4 - x^2 + a))/a^(1/4)","B",0
662,1,334,0,1.223233," ","integrate((4*x^6+x)/(x^6-x)^(1/2)/(x^10-2*x^5-a*x^2+1),x, algorithm=""fricas"")","-\frac{1}{a^{3}}^{\frac{1}{4}} \arctan\left(-\frac{2 \, \sqrt{x^{6} - x} {\left(a^{3} \frac{1}{a^{3}}^{\frac{3}{4}} x + {\left(a x^{5} - a\right)} \frac{1}{a^{3}}^{\frac{1}{4}}\right)} - {\left(2 \, {\left(a^{3} x^{6} - a^{3} x\right)} \frac{1}{a^{3}}^{\frac{3}{4}} + {\left(a x^{10} - 2 \, a x^{5} + a^{2} x^{2} + a\right)} \frac{1}{a^{3}}^{\frac{1}{4}}\right)} \sqrt{a \sqrt{\frac{1}{a^{3}}}}}{x^{10} - 2 \, x^{5} - a x^{2} + 1}\right) - \frac{1}{4} \, \frac{1}{a^{3}}^{\frac{1}{4}} \log\left(\frac{{\left(a^{2} x^{10} - 2 \, a^{2} x^{5} + a^{3} x^{2} + a^{2}\right)} \frac{1}{a^{3}}^{\frac{3}{4}} + 2 \, \sqrt{x^{6} - x} {\left(x^{5} + a^{2} \sqrt{\frac{1}{a^{3}}} x - 1\right)} + 2 \, {\left(a x^{6} - a x\right)} \frac{1}{a^{3}}^{\frac{1}{4}}}{2 \, {\left(x^{10} - 2 \, x^{5} - a x^{2} + 1\right)}}\right) + \frac{1}{4} \, \frac{1}{a^{3}}^{\frac{1}{4}} \log\left(-\frac{{\left(a^{2} x^{10} - 2 \, a^{2} x^{5} + a^{3} x^{2} + a^{2}\right)} \frac{1}{a^{3}}^{\frac{3}{4}} - 2 \, \sqrt{x^{6} - x} {\left(x^{5} + a^{2} \sqrt{\frac{1}{a^{3}}} x - 1\right)} + 2 \, {\left(a x^{6} - a x\right)} \frac{1}{a^{3}}^{\frac{1}{4}}}{2 \, {\left(x^{10} - 2 \, x^{5} - a x^{2} + 1\right)}}\right)"," ",0,"-(a^(-3))^(1/4)*arctan(-(2*sqrt(x^6 - x)*(a^3*(a^(-3))^(3/4)*x + (a*x^5 - a)*(a^(-3))^(1/4)) - (2*(a^3*x^6 - a^3*x)*(a^(-3))^(3/4) + (a*x^10 - 2*a*x^5 + a^2*x^2 + a)*(a^(-3))^(1/4))*sqrt(a*sqrt(a^(-3))))/(x^10 - 2*x^5 - a*x^2 + 1)) - 1/4*(a^(-3))^(1/4)*log(1/2*((a^2*x^10 - 2*a^2*x^5 + a^3*x^2 + a^2)*(a^(-3))^(3/4) + 2*sqrt(x^6 - x)*(x^5 + a^2*sqrt(a^(-3))*x - 1) + 2*(a*x^6 - a*x)*(a^(-3))^(1/4))/(x^10 - 2*x^5 - a*x^2 + 1)) + 1/4*(a^(-3))^(1/4)*log(-1/2*((a^2*x^10 - 2*a^2*x^5 + a^3*x^2 + a^2)*(a^(-3))^(3/4) - 2*sqrt(x^6 - x)*(x^5 + a^2*sqrt(a^(-3))*x - 1) + 2*(a*x^6 - a*x)*(a^(-3))^(1/4))/(x^10 - 2*x^5 - a*x^2 + 1))","B",0
663,1,280,0,1.374757," ","integrate((4*x^6+x)/(x^6-x)^(1/2)/(a*x^10-2*a*x^5-x^2+a),x, algorithm=""fricas"")","-\frac{\arctan\left(-\frac{2 \, \sqrt{x^{6} - x} {\left(a^{\frac{1}{4}} x + \frac{a x^{5} - a}{a^{\frac{1}{4}}}\right)} - {\left(\frac{a^{2} x^{10} - 2 \, a^{2} x^{5} + a x^{2} + a^{2}}{a^{\frac{1}{4}}} + \frac{2 \, {\left(a^{2} x^{6} - a^{2} x\right)}}{a^{\frac{3}{4}}}\right)} \sqrt{\frac{1}{a^{\frac{3}{2}}}}}{a x^{10} - 2 \, a x^{5} - x^{2} + a}\right)}{a^{\frac{1}{4}}} - \frac{\log\left(\frac{2 \, \sqrt{x^{6} - x} {\left(x^{5} + \frac{x}{\sqrt{a}} - 1\right)} + \frac{2 \, {\left(x^{6} - x\right)}}{a^{\frac{1}{4}}} + \frac{a x^{10} - 2 \, a x^{5} + x^{2} + a}{a^{\frac{3}{4}}}}{2 \, {\left(a x^{10} - 2 \, a x^{5} - x^{2} + a\right)}}\right)}{4 \, a^{\frac{1}{4}}} + \frac{\log\left(\frac{2 \, \sqrt{x^{6} - x} {\left(x^{5} + \frac{x}{\sqrt{a}} - 1\right)} - \frac{2 \, {\left(x^{6} - x\right)}}{a^{\frac{1}{4}}} - \frac{a x^{10} - 2 \, a x^{5} + x^{2} + a}{a^{\frac{3}{4}}}}{2 \, {\left(a x^{10} - 2 \, a x^{5} - x^{2} + a\right)}}\right)}{4 \, a^{\frac{1}{4}}}"," ",0,"-arctan(-(2*sqrt(x^6 - x)*(a^(1/4)*x + (a*x^5 - a)/a^(1/4)) - ((a^2*x^10 - 2*a^2*x^5 + a*x^2 + a^2)/a^(1/4) + 2*(a^2*x^6 - a^2*x)/a^(3/4))*sqrt(a^(-3/2)))/(a*x^10 - 2*a*x^5 - x^2 + a))/a^(1/4) - 1/4*log(1/2*(2*sqrt(x^6 - x)*(x^5 + x/sqrt(a) - 1) + 2*(x^6 - x)/a^(1/4) + (a*x^10 - 2*a*x^5 + x^2 + a)/a^(3/4))/(a*x^10 - 2*a*x^5 - x^2 + a))/a^(1/4) + 1/4*log(1/2*(2*sqrt(x^6 - x)*(x^5 + x/sqrt(a) - 1) - 2*(x^6 - x)/a^(1/4) - (a*x^10 - 2*a*x^5 + x^2 + a)/a^(3/4))/(a*x^10 - 2*a*x^5 - x^2 + a))/a^(1/4)","B",0
664,1,60,0,0.611905," ","integrate(1/(-5+2*x)^2/(x^2-4*x+4)^(1/4),x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(2 \, x - 5\right)} \log\left(\frac{2 \, x + 2 \, \sqrt{2} {\left(x^{2} - 4 \, x + 4\right)}^{\frac{1}{4}} - 3}{2 \, x - 5}\right) - 4 \, {\left(x^{2} - 4 \, x + 4\right)}^{\frac{1}{4}}}{4 \, {\left(2 \, x - 5\right)}}"," ",0,"1/4*(sqrt(2)*(2*x - 5)*log((2*x + 2*sqrt(2)*(x^2 - 4*x + 4)^(1/4) - 3)/(2*x - 5)) - 4*(x^2 - 4*x + 4)^(1/4))/(2*x - 5)","A",0
665,1,112,0,0.582936," ","integrate((x^3-2)*(x^3+1)^(1/2)*(2*x^3-x^2+2)/x^4/(x^3-3*x^2+1),x, algorithm=""fricas"")","\frac{15 \, \sqrt{3} x^{3} \log\left(-\frac{x^{6} + 18 \, x^{5} + 9 \, x^{4} + 2 \, x^{3} - 4 \, \sqrt{3} {\left(x^{4} + 3 \, x^{3} + x\right)} \sqrt{x^{3} + 1} + 18 \, x^{2} + 1}{x^{6} - 6 \, x^{5} + 9 \, x^{4} + 2 \, x^{3} - 6 \, x^{2} + 1}\right) + 4 \, {\left(2 \, x^{3} + 15 \, x^{2} + 2\right)} \sqrt{x^{3} + 1}}{6 \, x^{3}}"," ",0,"1/6*(15*sqrt(3)*x^3*log(-(x^6 + 18*x^5 + 9*x^4 + 2*x^3 - 4*sqrt(3)*(x^4 + 3*x^3 + x)*sqrt(x^3 + 1) + 18*x^2 + 1)/(x^6 - 6*x^5 + 9*x^4 + 2*x^3 - 6*x^2 + 1)) + 4*(2*x^3 + 15*x^2 + 2)*sqrt(x^3 + 1))/x^3","B",0
666,1,103,0,0.481323," ","integrate((a*x^3-b)*(a*x^3+b)^(1/2)/x,x, algorithm=""fricas"")","\left[\frac{1}{3} \, b^{\frac{3}{2}} \log\left(\frac{a x^{3} + 2 \, \sqrt{a x^{3} + b} \sqrt{b} + 2 \, b}{x^{3}}\right) + \frac{2}{9} \, \sqrt{a x^{3} + b} {\left(a x^{3} - 2 \, b\right)}, -\frac{2}{3} \, \sqrt{-b} b \arctan\left(\frac{\sqrt{a x^{3} + b} \sqrt{-b}}{b}\right) + \frac{2}{9} \, \sqrt{a x^{3} + b} {\left(a x^{3} - 2 \, b\right)}\right]"," ",0,"[1/3*b^(3/2)*log((a*x^3 + 2*sqrt(a*x^3 + b)*sqrt(b) + 2*b)/x^3) + 2/9*sqrt(a*x^3 + b)*(a*x^3 - 2*b), -2/3*sqrt(-b)*b*arctan(sqrt(a*x^3 + b)*sqrt(-b)/b) + 2/9*sqrt(a*x^3 + b)*(a*x^3 - 2*b)]","A",0
667,1,61,0,0.503440," ","integrate(x^2/(x^4-1)/(x^4+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{8} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} x}{\sqrt{x^{4} + 1}}\right) + \frac{1}{16} \, \sqrt{2} \log\left(\frac{x^{4} - 2 \, \sqrt{2} \sqrt{x^{4} + 1} x + 2 \, x^{2} + 1}{x^{4} - 2 \, x^{2} + 1}\right)"," ",0,"1/8*sqrt(2)*arctan(sqrt(2)*x/sqrt(x^4 + 1)) + 1/16*sqrt(2)*log((x^4 - 2*sqrt(2)*sqrt(x^4 + 1)*x + 2*x^2 + 1)/(x^4 - 2*x^2 + 1))","A",0
668,1,61,0,0.501686," ","integrate((x^4+1)^(1/2)/(x^4-1),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} x}{\sqrt{x^{4} + 1}}\right) + \frac{1}{8} \, \sqrt{2} \log\left(\frac{x^{4} - 2 \, \sqrt{2} \sqrt{x^{4} + 1} x + 2 \, x^{2} + 1}{x^{4} - 2 \, x^{2} + 1}\right)"," ",0,"-1/4*sqrt(2)*arctan(sqrt(2)*x/sqrt(x^4 + 1)) + 1/8*sqrt(2)*log((x^4 - 2*sqrt(2)*sqrt(x^4 + 1)*x + 2*x^2 + 1)/(x^4 - 2*x^2 + 1))","A",0
669,1,49,0,0.476998," ","integrate((a*x^3+b)*(x^4+x)^(1/2),x, algorithm=""fricas"")","-\frac{1}{24} \, {\left(a - 4 \, b\right)} \log\left(-2 \, x^{3} - 2 \, \sqrt{x^{4} + x} x - 1\right) + \frac{1}{12} \, {\left(2 \, a x^{4} + {\left(a + 4 \, b\right)} x\right)} \sqrt{x^{4} + x}"," ",0,"-1/24*(a - 4*b)*log(-2*x^3 - 2*sqrt(x^4 + x)*x - 1) + 1/12*(2*a*x^4 + (a + 4*b)*x)*sqrt(x^4 + x)","A",0
670,1,95,0,1.063162," ","integrate((x^4+x^2)^(1/4),x, algorithm=""fricas"")","\frac{1}{2} \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x - \frac{1}{8} \, \arctan\left(\frac{2 \, {\left({\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x^{2} + {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x}\right) + \frac{1}{8} \, \log\left(\frac{2 \, x^{3} + 2 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \, \sqrt{x^{4} + x^{2}} x + x + 2 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{x}\right)"," ",0,"1/2*(x^4 + x^2)^(1/4)*x - 1/8*arctan(2*((x^4 + x^2)^(1/4)*x^2 + (x^4 + x^2)^(3/4))/x) + 1/8*log((2*x^3 + 2*(x^4 + x^2)^(1/4)*x^2 + 2*sqrt(x^4 + x^2)*x + x + 2*(x^4 + x^2)^(3/4))/x)","B",0
671,1,65,0,0.508507," ","integrate((x^4-1)*(x^4+1)^(1/2)/(x^4+3*x^2+1)^2,x, algorithm=""fricas"")","-\frac{\sqrt{3} {\left(x^{4} + 3 \, x^{2} + 1\right)} \arctan\left(\frac{2 \, \sqrt{3} \sqrt{x^{4} + 1} x}{x^{4} - 3 \, x^{2} + 1}\right) + 6 \, \sqrt{x^{4} + 1} x}{12 \, {\left(x^{4} + 3 \, x^{2} + 1\right)}}"," ",0,"-1/12*(sqrt(3)*(x^4 + 3*x^2 + 1)*arctan(2*sqrt(3)*sqrt(x^4 + 1)*x/(x^4 - 3*x^2 + 1)) + 6*sqrt(x^4 + 1)*x)/(x^4 + 3*x^2 + 1)","A",0
672,1,49,0,0.440870," ","integrate(1/x^8/(x^4+x^3)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(262144 \, x^{7} - 196608 \, x^{6} + 172032 \, x^{5} - 157696 \, x^{4} + 147840 \, x^{3} - 140448 \, x^{2} + 134596 \, x - 129789\right)} {\left(x^{4} + x^{3}\right)}^{\frac{3}{4}}}{4023459 \, x^{10}}"," ",0,"4/4023459*(262144*x^7 - 196608*x^6 + 172032*x^5 - 157696*x^4 + 147840*x^3 - 140448*x^2 + 134596*x - 129789)*(x^4 + x^3)^(3/4)/x^10","A",0
673,1,47,0,0.509099," ","integrate((1+4*x)/(x^4+2*x^3+3*x^2-2*x+1)^(1/2),x, algorithm=""fricas"")","\log\left(x^{4} + 3 \, x^{3} + 5 \, x^{2} + \sqrt{x^{4} + 2 \, x^{3} + 3 \, x^{2} - 2 \, x + 1} {\left(x^{2} + 2 \, x + 2\right)} + 2 \, x\right)"," ",0,"log(x^4 + 3*x^3 + 5*x^2 + sqrt(x^4 + 2*x^3 + 3*x^2 - 2*x + 1)*(x^2 + 2*x + 2) + 2*x)","A",0
674,1,144,0,7.661521," ","integrate(1/(x^4-1)^(1/4)/(3*x^4+1),x, algorithm=""fricas"")","-\frac{1}{8} \, \sqrt{2} \arctan\left(\frac{2 \, {\left(2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} x\right)}}{3 \, x^{4} + 1}\right) + \frac{1}{16} \, \sqrt{2} \log\left(-\frac{73 \, x^{8} - 58 \, x^{4} + 4 \, \sqrt{2} {\left(13 \, x^{5} - x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + 8 \, \sqrt{2} {\left(7 \, x^{7} - 3 \, x^{3}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + 16 \, {\left(5 \, x^{6} - x^{2}\right)} \sqrt{x^{4} - 1} + 1}{9 \, x^{8} + 6 \, x^{4} + 1}\right)"," ",0,"-1/8*sqrt(2)*arctan(2*(2*sqrt(2)*(x^4 - 1)^(1/4)*x^3 + sqrt(2)*(x^4 - 1)^(3/4)*x)/(3*x^4 + 1)) + 1/16*sqrt(2)*log(-(73*x^8 - 58*x^4 + 4*sqrt(2)*(13*x^5 - x)*(x^4 - 1)^(3/4) + 8*sqrt(2)*(7*x^7 - 3*x^3)*(x^4 - 1)^(1/4) + 16*(5*x^6 - x^2)*sqrt(x^4 - 1) + 1)/(9*x^8 + 6*x^4 + 1))","B",0
675,-1,0,0,0.000000," ","integrate((a*x^4-3*b)/(a*x^4-x^3+b)/(a*x^5+b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
676,1,47,0,0.577479," ","integrate(x^20*(x^6-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{1152} \, {\left(48 \, x^{21} - 8 \, x^{15} - 10 \, x^{9} - 15 \, x^{3}\right)} \sqrt{x^{6} - 1} + \frac{5}{384} \, \log\left(-x^{3} + \sqrt{x^{6} - 1}\right)"," ",0,"1/1152*(48*x^21 - 8*x^15 - 10*x^9 - 15*x^3)*sqrt(x^6 - 1) + 5/384*log(-x^3 + sqrt(x^6 - 1))","A",0
677,1,57,0,0.542427," ","integrate((x^3-1)*(x^6-1)^(1/2)/x^4/(x^3+1),x, algorithm=""fricas"")","-\frac{4 \, x^{3} \arctan\left(-x^{3} + \sqrt{x^{6} - 1}\right) + x^{3} \log\left(-x^{3} + \sqrt{x^{6} - 1}\right) - x^{3} - \sqrt{x^{6} - 1}}{3 \, x^{3}}"," ",0,"-1/3*(4*x^3*arctan(-x^3 + sqrt(x^6 - 1)) + x^3*log(-x^3 + sqrt(x^6 - 1)) - x^3 - sqrt(x^6 - 1))/x^3","A",0
678,1,62,0,0.704491," ","integrate((x^6+1)/(x^4-x^2+1)^(1/2)/(-x^6+1),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{2} \arctan\left(\frac{2 \, \sqrt{2} \sqrt{x^{4} - x^{2} + 1} x}{x^{4} - 3 \, x^{2} + 1}\right) + \frac{1}{3} \, \log\left(\frac{x + \sqrt{x^{4} - x^{2} + 1}}{x^{2} - 1}\right)"," ",0,"1/6*sqrt(2)*arctan(2*sqrt(2)*sqrt(x^4 - x^2 + 1)*x/(x^4 - 3*x^2 + 1)) + 1/3*log((x + sqrt(x^4 - x^2 + 1))/(x^2 - 1))","A",0
679,1,47,0,0.497265," ","integrate((x^6-2)*(x^6-1)^(1/2)/x^7/(x^6+2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{6} \arctan\left(\frac{1}{3} \, \sqrt{3} \sqrt{x^{6} - 1}\right) - 3 \, x^{6} \arctan\left(\sqrt{x^{6} - 1}\right) + \sqrt{x^{6} - 1}}{6 \, x^{6}}"," ",0,"1/6*(2*sqrt(3)*x^6*arctan(1/3*sqrt(3)*sqrt(x^6 - 1)) - 3*x^6*arctan(sqrt(x^6 - 1)) + sqrt(x^6 - 1))/x^6","A",0
680,-1,0,0,0.000000," ","integrate(x*(5*a*x-6*b)/(a*x^3-b*x^2)^(1/4)/(x^6-a*x+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
681,1,65,0,0.609476," ","integrate((x^3+1)^(1/2)*(x^6+2*x^3+2)/x/(x^6-1),x, algorithm=""fricas"")","\frac{5}{6} \, \sqrt{2} \log\left(\frac{x^{3} - 2 \, \sqrt{2} \sqrt{x^{3} + 1} + 3}{x^{3} - 1}\right) + \frac{2}{3} \, \sqrt{x^{3} + 1} + \frac{2}{3} \, \log\left(\sqrt{x^{3} + 1} + 1\right) - \frac{2}{3} \, \log\left(\sqrt{x^{3} + 1} - 1\right)"," ",0,"5/6*sqrt(2)*log((x^3 - 2*sqrt(2)*sqrt(x^3 + 1) + 3)/(x^3 - 1)) + 2/3*sqrt(x^3 + 1) + 2/3*log(sqrt(x^3 + 1) + 1) - 2/3*log(sqrt(x^3 + 1) - 1)","A",0
682,1,199,0,0.582672," ","integrate((x^4-1)*(x^4+1)^(1/2)/(x^8+1),x, algorithm=""fricas"")","-\frac{1}{4} \cdot 2^{\frac{3}{4}} \arctan\left(\frac{2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)} + 2^{\frac{1}{4}} {\left(x^{8} + 4 \, x^{4} + 1\right)}\right)} + 4 \, \sqrt{x^{4} + 1} {\left(2^{\frac{3}{4}} x^{3} + 2^{\frac{1}{4}} {\left(x^{5} + x\right)}\right)}}{2 \, {\left(x^{8} + 1\right)}}\right) - \frac{1}{16} \cdot 2^{\frac{3}{4}} \log\left(-\frac{2^{\frac{3}{4}} {\left(x^{8} + 4 \, x^{4} + 1\right)} + 4 \, {\left(x^{5} + \sqrt{2} x^{3} + x\right)} \sqrt{x^{4} + 1} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}}{x^{8} + 1}\right) + \frac{1}{16} \cdot 2^{\frac{3}{4}} \log\left(\frac{2^{\frac{3}{4}} {\left(x^{8} + 4 \, x^{4} + 1\right)} - 4 \, {\left(x^{5} + \sqrt{2} x^{3} + x\right)} \sqrt{x^{4} + 1} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}}{x^{8} + 1}\right)"," ",0,"-1/4*2^(3/4)*arctan(1/2*(2^(3/4)*(2*2^(3/4)*(x^6 + x^2) + 2^(1/4)*(x^8 + 4*x^4 + 1)) + 4*sqrt(x^4 + 1)*(2^(3/4)*x^3 + 2^(1/4)*(x^5 + x)))/(x^8 + 1)) - 1/16*2^(3/4)*log(-(2^(3/4)*(x^8 + 4*x^4 + 1) + 4*(x^5 + sqrt(2)*x^3 + x)*sqrt(x^4 + 1) + 4*2^(1/4)*(x^6 + x^2))/(x^8 + 1)) + 1/16*2^(3/4)*log((2^(3/4)*(x^8 + 4*x^4 + 1) - 4*(x^5 + sqrt(2)*x^3 + x)*sqrt(x^4 + 1) + 4*2^(1/4)*(x^6 + x^2))/(x^8 + 1))","B",0
683,1,199,0,0.624387," ","integrate((x^8-1)/(x^4+1)^(1/2)/(x^8+1),x, algorithm=""fricas"")","-\frac{1}{4} \cdot 2^{\frac{3}{4}} \arctan\left(\frac{2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)} + 2^{\frac{1}{4}} {\left(x^{8} + 4 \, x^{4} + 1\right)}\right)} + 4 \, \sqrt{x^{4} + 1} {\left(2^{\frac{3}{4}} x^{3} + 2^{\frac{1}{4}} {\left(x^{5} + x\right)}\right)}}{2 \, {\left(x^{8} + 1\right)}}\right) - \frac{1}{16} \cdot 2^{\frac{3}{4}} \log\left(-\frac{2^{\frac{3}{4}} {\left(x^{8} + 4 \, x^{4} + 1\right)} + 4 \, {\left(x^{5} + \sqrt{2} x^{3} + x\right)} \sqrt{x^{4} + 1} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}}{x^{8} + 1}\right) + \frac{1}{16} \cdot 2^{\frac{3}{4}} \log\left(\frac{2^{\frac{3}{4}} {\left(x^{8} + 4 \, x^{4} + 1\right)} - 4 \, {\left(x^{5} + \sqrt{2} x^{3} + x\right)} \sqrt{x^{4} + 1} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}}{x^{8} + 1}\right)"," ",0,"-1/4*2^(3/4)*arctan(1/2*(2^(3/4)*(2*2^(3/4)*(x^6 + x^2) + 2^(1/4)*(x^8 + 4*x^4 + 1)) + 4*sqrt(x^4 + 1)*(2^(3/4)*x^3 + 2^(1/4)*(x^5 + x)))/(x^8 + 1)) - 1/16*2^(3/4)*log(-(2^(3/4)*(x^8 + 4*x^4 + 1) + 4*(x^5 + sqrt(2)*x^3 + x)*sqrt(x^4 + 1) + 4*2^(1/4)*(x^6 + x^2))/(x^8 + 1)) + 1/16*2^(3/4)*log((2^(3/4)*(x^8 + 4*x^4 + 1) - 4*(x^5 + sqrt(2)*x^3 + x)*sqrt(x^4 + 1) + 4*2^(1/4)*(x^6 + x^2))/(x^8 + 1))","B",0
684,1,226,0,0.766386," ","integrate((x^4-2)^(1/2)*(x^4+2)/(x^8-6*x^4+4),x, algorithm=""fricas"")","\frac{1}{4} \cdot 2^{\frac{3}{4}} \arctan\left(\frac{2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} {\left(x^{6} - 2 \, x^{2}\right)} + 2^{\frac{1}{4}} {\left(x^{8} - 2 \, x^{4} + 4\right)}\right)} - 4 \, \sqrt{x^{4} - 2} {\left(2^{\frac{3}{4}} x^{3} + 2^{\frac{1}{4}} {\left(x^{5} - 2 \, x\right)}\right)}}{2 \, {\left(x^{8} - 6 \, x^{4} + 4\right)}}\right) - \frac{1}{16} \cdot 2^{\frac{3}{4}} \log\left(\frac{2^{\frac{3}{4}} {\left(x^{8} - 2 \, x^{4} + 4\right)} + 4 \, {\left(x^{5} + \sqrt{2} x^{3} - 2 \, x\right)} \sqrt{x^{4} - 2} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} - 2 \, x^{2}\right)}}{x^{8} - 6 \, x^{4} + 4}\right) + \frac{1}{16} \cdot 2^{\frac{3}{4}} \log\left(-\frac{2^{\frac{3}{4}} {\left(x^{8} - 2 \, x^{4} + 4\right)} - 4 \, {\left(x^{5} + \sqrt{2} x^{3} - 2 \, x\right)} \sqrt{x^{4} - 2} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} - 2 \, x^{2}\right)}}{x^{8} - 6 \, x^{4} + 4}\right)"," ",0,"1/4*2^(3/4)*arctan(1/2*(2^(3/4)*(2*2^(3/4)*(x^6 - 2*x^2) + 2^(1/4)*(x^8 - 2*x^4 + 4)) - 4*sqrt(x^4 - 2)*(2^(3/4)*x^3 + 2^(1/4)*(x^5 - 2*x)))/(x^8 - 6*x^4 + 4)) - 1/16*2^(3/4)*log((2^(3/4)*(x^8 - 2*x^4 + 4) + 4*(x^5 + sqrt(2)*x^3 - 2*x)*sqrt(x^4 - 2) + 4*2^(1/4)*(x^6 - 2*x^2))/(x^8 - 6*x^4 + 4)) + 1/16*2^(3/4)*log(-(2^(3/4)*(x^8 - 2*x^4 + 4) - 4*(x^5 + sqrt(2)*x^3 - 2*x)*sqrt(x^4 - 2) + 4*2^(1/4)*(x^6 - 2*x^2))/(x^8 - 6*x^4 + 4))","B",0
685,-1,0,0,0.000000," ","integrate((a*x^4-2*b)/(a*x^4-b)^(1/4)/(2*x^8+a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
686,1,78,0,0.548881," ","integrate(1/x^2/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{2 \, x \arctan\left(\sqrt{x + \sqrt{x^{2} + 1}}\right) + x \log\left(\sqrt{x + \sqrt{x^{2} + 1}} + 1\right) - x \log\left(\sqrt{x + \sqrt{x^{2} + 1}} - 1\right) + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} {\left(x - \sqrt{x^{2} + 1}\right)}}{2 \, x}"," ",0,"1/2*(2*x*arctan(sqrt(x + sqrt(x^2 + 1))) + x*log(sqrt(x + sqrt(x^2 + 1)) + 1) - x*log(sqrt(x + sqrt(x^2 + 1)) - 1) + 2*sqrt(x + sqrt(x^2 + 1))*(x - sqrt(x^2 + 1)))/x","A",0
687,1,100,0,0.887204," ","integrate((-1+k^(1/2)*x)/(1+k^(1/2)*x)/((-x^2+1)*(-k^2*x^2+1))^(1/2),x, algorithm=""fricas"")","\frac{\arctan\left(-\frac{\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1} {\left({\left(k^{3} + k^{2} - k - 1\right)} x - 2 \, {\left({\left(k^{2} - k\right)} x^{2} + k - 1\right)} \sqrt{k}\right)}}{4 \, k^{3} x^{4} - {\left(k^{4} + 4 \, k^{3} - 2 \, k^{2} + 4 \, k + 1\right)} x^{2} + 4 \, k}\right)}{k - 1}"," ",0,"arctan(-sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)*((k^3 + k^2 - k - 1)*x - 2*((k^2 - k)*x^2 + k - 1)*sqrt(k))/(4*k^3*x^4 - (k^4 + 4*k^3 - 2*k^2 + 4*k + 1)*x^2 + 4*k))/(k - 1)","B",0
688,1,100,0,0.723379," ","integrate((1+k^(1/2)*x)/(-1+k^(1/2)*x)/((-x^2+1)*(-k^2*x^2+1))^(1/2),x, algorithm=""fricas"")","-\frac{\arctan\left(\frac{\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1} {\left({\left(k^{3} + k^{2} - k - 1\right)} x + 2 \, {\left({\left(k^{2} - k\right)} x^{2} + k - 1\right)} \sqrt{k}\right)}}{4 \, k^{3} x^{4} - {\left(k^{4} + 4 \, k^{3} - 2 \, k^{2} + 4 \, k + 1\right)} x^{2} + 4 \, k}\right)}{k - 1}"," ",0,"-arctan(sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)*((k^3 + k^2 - k - 1)*x + 2*((k^2 - k)*x^2 + k - 1)*sqrt(k))/(4*k^3*x^4 - (k^4 + 4*k^3 - 2*k^2 + 4*k + 1)*x^2 + 4*k))/(k - 1)","B",0
689,1,234,0,0.523203," ","integrate((2+x)/(-1+x)/(-a*x^2+x^3+3*x-1)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a + 3} \log\left(-\frac{2 \, {\left(4 \, a - 9\right)} x^{5} - x^{6} - {\left(8 \, a^{2} - 24 \, a + 15\right)} x^{4} + 4 \, {\left(6 \, a - 13\right)} x^{3} - {\left(8 \, a - 9\right)} x^{2} - 4 \, {\left({\left(2 \, a - 3\right)} x^{3} - x^{4} - 3 \, x^{2} + x\right)} \sqrt{-a x^{2} + x^{3} + 3 \, x - 1} \sqrt{-a + 3} + 6 \, x - 1}{x^{6} - 6 \, x^{5} + 15 \, x^{4} - 20 \, x^{3} + 15 \, x^{2} - 6 \, x + 1}\right)}{2 \, {\left(a - 3\right)}}, \frac{\arctan\left(-\frac{{\left({\left(2 \, a - 3\right)} x^{2} - x^{3} - 3 \, x + 1\right)} \sqrt{-a x^{2} + x^{3} + 3 \, x - 1} \sqrt{a - 3}}{2 \, {\left({\left(a - 3\right)} x^{4} - {\left(a^{2} - 3 \, a\right)} x^{3} + 3 \, {\left(a - 3\right)} x^{2} - {\left(a - 3\right)} x\right)}}\right)}{\sqrt{a - 3}}\right]"," ",0,"[-1/2*sqrt(-a + 3)*log(-(2*(4*a - 9)*x^5 - x^6 - (8*a^2 - 24*a + 15)*x^4 + 4*(6*a - 13)*x^3 - (8*a - 9)*x^2 - 4*((2*a - 3)*x^3 - x^4 - 3*x^2 + x)*sqrt(-a*x^2 + x^3 + 3*x - 1)*sqrt(-a + 3) + 6*x - 1)/(x^6 - 6*x^5 + 15*x^4 - 20*x^3 + 15*x^2 - 6*x + 1))/(a - 3), arctan(-1/2*((2*a - 3)*x^2 - x^3 - 3*x + 1)*sqrt(-a*x^2 + x^3 + 3*x - 1)*sqrt(a - 3)/((a - 3)*x^4 - (a^2 - 3*a)*x^3 + 3*(a - 3)*x^2 - (a - 3)*x))/sqrt(a - 3)]","A",0
690,1,234,0,0.515706," ","integrate((-2+x)/(1+x)/(-a*x^2+x^3+3*x+1)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a - 3} \log\left(-\frac{2 \, {\left(4 \, a + 9\right)} x^{5} - x^{6} - {\left(8 \, a^{2} + 24 \, a + 15\right)} x^{4} + 4 \, {\left(6 \, a + 13\right)} x^{3} + {\left(8 \, a + 9\right)} x^{2} - 4 \, {\left({\left(2 \, a + 3\right)} x^{3} - x^{4} - 3 \, x^{2} - x\right)} \sqrt{-a x^{2} + x^{3} + 3 \, x + 1} \sqrt{-a - 3} - 6 \, x - 1}{x^{6} + 6 \, x^{5} + 15 \, x^{4} + 20 \, x^{3} + 15 \, x^{2} + 6 \, x + 1}\right)}{2 \, {\left(a + 3\right)}}, \frac{\arctan\left(-\frac{{\left({\left(2 \, a + 3\right)} x^{2} - x^{3} - 3 \, x - 1\right)} \sqrt{-a x^{2} + x^{3} + 3 \, x + 1} \sqrt{a + 3}}{2 \, {\left({\left(a + 3\right)} x^{4} - {\left(a^{2} + 3 \, a\right)} x^{3} + 3 \, {\left(a + 3\right)} x^{2} + {\left(a + 3\right)} x\right)}}\right)}{\sqrt{a + 3}}\right]"," ",0,"[-1/2*sqrt(-a - 3)*log(-(2*(4*a + 9)*x^5 - x^6 - (8*a^2 + 24*a + 15)*x^4 + 4*(6*a + 13)*x^3 + (8*a + 9)*x^2 - 4*((2*a + 3)*x^3 - x^4 - 3*x^2 - x)*sqrt(-a*x^2 + x^3 + 3*x + 1)*sqrt(-a - 3) - 6*x - 1)/(x^6 + 6*x^5 + 15*x^4 + 20*x^3 + 15*x^2 + 6*x + 1))/(a + 3), arctan(-1/2*((2*a + 3)*x^2 - x^3 - 3*x - 1)*sqrt(-a*x^2 + x^3 + 3*x + 1)*sqrt(a + 3)/((a + 3)*x^4 - (a^2 + 3*a)*x^3 + 3*(a + 3)*x^2 + (a + 3)*x))/sqrt(a + 3)]","A",0
691,1,92,0,2.581586," ","integrate((x^4-1)*(x^4+1)^(1/4)/x^2,x, algorithm=""fricas"")","\frac{3 \, x \arctan\left(2 \, {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 2 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x\right) + 3 \, x \log\left(-2 \, x^{4} + 2 \, {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} - 2 \, \sqrt{x^{4} + 1} x^{2} + 2 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x - 1\right) + 4 \, {\left(x^{4} + 4\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{16 \, x}"," ",0,"1/16*(3*x*arctan(2*(x^4 + 1)^(1/4)*x^3 + 2*(x^4 + 1)^(3/4)*x) + 3*x*log(-2*x^4 + 2*(x^4 + 1)^(1/4)*x^3 - 2*sqrt(x^4 + 1)*x^2 + 2*(x^4 + 1)^(3/4)*x - 1) + 4*(x^4 + 4)*(x^4 + 1)^(1/4))/x","B",0
692,-1,0,0,0.000000," ","integrate((a*x^2+2*b)/(a*x^2+b)^(1/4)/(x^4-2*a*x^2-2*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
693,1,73,0,0.616365," ","integrate((x^4-x^3)^(1/4)/x,x, algorithm=""fricas"")","{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} - \frac{1}{2} \, \arctan\left(\frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{4} \, \log\left(\frac{x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{4} \, \log\left(-\frac{x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"(x^4 - x^3)^(1/4) - 1/2*arctan((x^4 - x^3)^(1/4)/x) - 1/4*log((x + (x^4 - x^3)^(1/4))/x) + 1/4*log(-(x - (x^4 - x^3)^(1/4))/x)","A",0
694,1,56,0,0.460316," ","integrate((x^3-1)*(x^6-1)^(1/2)/x^13,x, algorithm=""fricas"")","-\frac{6 \, x^{12} \arctan\left(-x^{3} + \sqrt{x^{6} - 1}\right) - 8 \, x^{12} - {\left(8 \, x^{9} - 3 \, x^{6} - 8 \, x^{3} + 6\right)} \sqrt{x^{6} - 1}}{72 \, x^{12}}"," ",0,"-1/72*(6*x^12*arctan(-x^3 + sqrt(x^6 - 1)) - 8*x^12 - (8*x^9 - 3*x^6 - 8*x^3 + 6)*sqrt(x^6 - 1))/x^12","A",0
695,-2,0,0,0.000000," ","integrate((x^3+2)*(-x^4+x)^(1/3)/(x^6-x^5-x^4-2*x^3+x^2+1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
696,-2,0,0,0.000000," ","integrate((x^3+2)*(-x^4+x)^(1/3)/(x^6-x^5-x^4-2*x^3+x^2+1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
697,1,65,0,0.486825," ","integrate(1/(x^8+2*x^4+1)^(1/8),x, algorithm=""fricas"")","-\frac{1}{2} \, \arctan\left(\frac{{\left(x^{8} + 2 \, x^{4} + 1\right)}^{\frac{1}{8}}}{x}\right) + \frac{1}{4} \, \log\left(\frac{x + {\left(x^{8} + 2 \, x^{4} + 1\right)}^{\frac{1}{8}}}{x}\right) - \frac{1}{4} \, \log\left(-\frac{x - {\left(x^{8} + 2 \, x^{4} + 1\right)}^{\frac{1}{8}}}{x}\right)"," ",0,"-1/2*arctan((x^8 + 2*x^4 + 1)^(1/8)/x) + 1/4*log((x + (x^8 + 2*x^4 + 1)^(1/8))/x) - 1/4*log(-(x - (x^8 + 2*x^4 + 1)^(1/8))/x)","A",0
698,1,69,0,0.501945," ","integrate(1/x/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-2 \, \sqrt{x + \sqrt{x^{2} + 1}} {\left(x - \sqrt{x^{2} + 1}\right)} + 2 \, \arctan\left(\sqrt{x + \sqrt{x^{2} + 1}}\right) - \log\left(\sqrt{x + \sqrt{x^{2} + 1}} + 1\right) + \log\left(\sqrt{x + \sqrt{x^{2} + 1}} - 1\right)"," ",0,"-2*sqrt(x + sqrt(x^2 + 1))*(x - sqrt(x^2 + 1)) + 2*arctan(sqrt(x + sqrt(x^2 + 1))) - log(sqrt(x + sqrt(x^2 + 1)) + 1) + log(sqrt(x + sqrt(x^2 + 1)) - 1)","A",0
699,1,269,0,0.852849," ","integrate((k^2*x^2-2*x+1)/((1-x)*x*(-k^2*x+1))^(1/2)/(-1+2*x+(k^2-2)*x^2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-k^{2} + 2} \log\left(\frac{{\left(k^{4} - 4 \, k^{2} + 4\right)} x^{4} - 4 \, {\left(2 \, k^{4} - 5 \, k^{2} + 2\right)} x^{3} + 2 \, {\left(4 \, k^{4} - 5 \, k^{2} - 4\right)} x^{2} - 4 \, \sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left({\left(k^{2} - 2\right)} x^{2} - 2 \, {\left(k^{2} - 1\right)} x + 1\right)} \sqrt{-k^{2} + 2} - 4 \, {\left(2 \, k^{2} - 3\right)} x + 1}{{\left(k^{4} - 4 \, k^{2} + 4\right)} x^{4} + 4 \, {\left(k^{2} - 2\right)} x^{3} - 2 \, {\left(k^{2} - 4\right)} x^{2} - 4 \, x + 1}\right)}{2 \, {\left(k^{2} - 2\right)}}, \frac{\arctan\left(\frac{\sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left({\left(k^{2} - 2\right)} x^{2} - 2 \, {\left(k^{2} - 1\right)} x + 1\right)} \sqrt{k^{2} - 2}}{2 \, {\left({\left(k^{4} - 2 \, k^{2}\right)} x^{3} - {\left(k^{4} - k^{2} - 2\right)} x^{2} + {\left(k^{2} - 2\right)} x\right)}}\right)}{\sqrt{k^{2} - 2}}\right]"," ",0,"[-1/2*sqrt(-k^2 + 2)*log(((k^4 - 4*k^2 + 4)*x^4 - 4*(2*k^4 - 5*k^2 + 2)*x^3 + 2*(4*k^4 - 5*k^2 - 4)*x^2 - 4*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*((k^2 - 2)*x^2 - 2*(k^2 - 1)*x + 1)*sqrt(-k^2 + 2) - 4*(2*k^2 - 3)*x + 1)/((k^4 - 4*k^2 + 4)*x^4 + 4*(k^2 - 2)*x^3 - 2*(k^2 - 4)*x^2 - 4*x + 1))/(k^2 - 2), arctan(1/2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*((k^2 - 2)*x^2 - 2*(k^2 - 1)*x + 1)*sqrt(k^2 - 2)/((k^4 - 2*k^2)*x^3 - (k^4 - k^2 - 2)*x^2 + (k^2 - 2)*x))/sqrt(k^2 - 2)]","A",0
700,1,110,0,0.542668," ","integrate(1/x/(a*x^3+b)^(3/4),x, algorithm=""fricas"")","\frac{4}{3} \, \frac{1}{b^{3}}^{\frac{1}{4}} \arctan\left(\sqrt{b^{2} \sqrt{\frac{1}{b^{3}}} + \sqrt{a x^{3} + b}} b^{2} \frac{1}{b^{3}}^{\frac{3}{4}} - {\left(a x^{3} + b\right)}^{\frac{1}{4}} b^{2} \frac{1}{b^{3}}^{\frac{3}{4}}\right) - \frac{1}{3} \, \frac{1}{b^{3}}^{\frac{1}{4}} \log\left(b \frac{1}{b^{3}}^{\frac{1}{4}} + {\left(a x^{3} + b\right)}^{\frac{1}{4}}\right) + \frac{1}{3} \, \frac{1}{b^{3}}^{\frac{1}{4}} \log\left(-b \frac{1}{b^{3}}^{\frac{1}{4}} + {\left(a x^{3} + b\right)}^{\frac{1}{4}}\right)"," ",0,"4/3*(b^(-3))^(1/4)*arctan(sqrt(b^2*sqrt(b^(-3)) + sqrt(a*x^3 + b))*b^2*(b^(-3))^(3/4) - (a*x^3 + b)^(1/4)*b^2*(b^(-3))^(3/4)) - 1/3*(b^(-3))^(1/4)*log(b*(b^(-3))^(1/4) + (a*x^3 + b)^(1/4)) + 1/3*(b^(-3))^(1/4)*log(-b*(b^(-3))^(1/4) + (a*x^3 + b)^(1/4))","B",0
701,1,115,0,0.529972," ","integrate((a*x^3-b)*(a*x^3+b)^(1/2)/x^4,x, algorithm=""fricas"")","\left[\frac{a \sqrt{b} x^{3} \log\left(\frac{a x^{3} - 2 \, \sqrt{a x^{3} + b} \sqrt{b} + 2 \, b}{x^{3}}\right) + 2 \, {\left(2 \, a x^{3} + b\right)} \sqrt{a x^{3} + b}}{6 \, x^{3}}, \frac{a \sqrt{-b} x^{3} \arctan\left(\frac{\sqrt{a x^{3} + b} \sqrt{-b}}{b}\right) + {\left(2 \, a x^{3} + b\right)} \sqrt{a x^{3} + b}}{3 \, x^{3}}\right]"," ",0,"[1/6*(a*sqrt(b)*x^3*log((a*x^3 - 2*sqrt(a*x^3 + b)*sqrt(b) + 2*b)/x^3) + 2*(2*a*x^3 + b)*sqrt(a*x^3 + b))/x^3, 1/3*(a*sqrt(-b)*x^3*arctan(sqrt(a*x^3 + b)*sqrt(-b)/b) + (2*a*x^3 + b)*sqrt(a*x^3 + b))/x^3]","A",0
702,1,269,0,0.563739," ","integrate((k^2*x^2-2*x+1)/(k^2*x^2-2*x^2+2*x-1)/(k^2*x^3-k^2*x^2-x^2+x)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-k^{2} + 2} \log\left(\frac{{\left(k^{4} - 4 \, k^{2} + 4\right)} x^{4} - 4 \, {\left(2 \, k^{4} - 5 \, k^{2} + 2\right)} x^{3} + 2 \, {\left(4 \, k^{4} - 5 \, k^{2} - 4\right)} x^{2} - 4 \, \sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left({\left(k^{2} - 2\right)} x^{2} - 2 \, {\left(k^{2} - 1\right)} x + 1\right)} \sqrt{-k^{2} + 2} - 4 \, {\left(2 \, k^{2} - 3\right)} x + 1}{{\left(k^{4} - 4 \, k^{2} + 4\right)} x^{4} + 4 \, {\left(k^{2} - 2\right)} x^{3} - 2 \, {\left(k^{2} - 4\right)} x^{2} - 4 \, x + 1}\right)}{2 \, {\left(k^{2} - 2\right)}}, \frac{\arctan\left(\frac{\sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left({\left(k^{2} - 2\right)} x^{2} - 2 \, {\left(k^{2} - 1\right)} x + 1\right)} \sqrt{k^{2} - 2}}{2 \, {\left({\left(k^{4} - 2 \, k^{2}\right)} x^{3} - {\left(k^{4} - k^{2} - 2\right)} x^{2} + {\left(k^{2} - 2\right)} x\right)}}\right)}{\sqrt{k^{2} - 2}}\right]"," ",0,"[-1/2*sqrt(-k^2 + 2)*log(((k^4 - 4*k^2 + 4)*x^4 - 4*(2*k^4 - 5*k^2 + 2)*x^3 + 2*(4*k^4 - 5*k^2 - 4)*x^2 - 4*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*((k^2 - 2)*x^2 - 2*(k^2 - 1)*x + 1)*sqrt(-k^2 + 2) - 4*(2*k^2 - 3)*x + 1)/((k^4 - 4*k^2 + 4)*x^4 + 4*(k^2 - 2)*x^3 - 2*(k^2 - 4)*x^2 - 4*x + 1))/(k^2 - 2), arctan(1/2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*((k^2 - 2)*x^2 - 2*(k^2 - 1)*x + 1)*sqrt(k^2 - 2)/((k^4 - 2*k^2)*x^3 - (k^4 - k^2 - 2)*x^2 + (k^2 - 2)*x))/sqrt(k^2 - 2)]","A",0
703,1,134,0,10.071930," ","integrate((2+x)/x/(x^4+1)^(1/4),x, algorithm=""fricas"")","\frac{1}{4} \, \arctan\left(2 \, {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 2 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x\right) - \frac{1}{2} \, \arctan\left(\frac{2 \, {\left({\left(x^{4} + 1\right)}^{\frac{3}{4}} + {\left(x^{4} + 1\right)}^{\frac{1}{4}}\right)}}{x^{4}}\right) + \frac{1}{4} \, \log\left(2 \, x^{4} + 2 \, {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 2 \, \sqrt{x^{4} + 1} x^{2} + 2 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x + 1\right) + \frac{1}{2} \, \log\left(-\frac{x^{4} - 2 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} + 2 \, \sqrt{x^{4} + 1} - 2 \, {\left(x^{4} + 1\right)}^{\frac{1}{4}} + 2}{x^{4}}\right)"," ",0,"1/4*arctan(2*(x^4 + 1)^(1/4)*x^3 + 2*(x^4 + 1)^(3/4)*x) - 1/2*arctan(2*((x^4 + 1)^(3/4) + (x^4 + 1)^(1/4))/x^4) + 1/4*log(2*x^4 + 2*(x^4 + 1)^(1/4)*x^3 + 2*sqrt(x^4 + 1)*x^2 + 2*(x^4 + 1)^(3/4)*x + 1) + 1/2*log(-(x^4 - 2*(x^4 + 1)^(3/4) + 2*sqrt(x^4 + 1) - 2*(x^4 + 1)^(1/4) + 2)/x^4)","B",0
704,1,68,0,0.472538," ","integrate(x^6*(x^4+1)^(1/4),x, algorithm=""fricas"")","\frac{1}{32} \, {\left(4 \, x^{7} + x^{3}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}} - \frac{3}{64} \, \arctan\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{3}{128} \, \log\left(\frac{x + {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{3}{128} \, \log\left(-\frac{x - {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"1/32*(4*x^7 + x^3)*(x^4 + 1)^(1/4) - 3/64*arctan((x^4 + 1)^(1/4)/x) - 3/128*log((x + (x^4 + 1)^(1/4))/x) + 3/128*log(-(x - (x^4 + 1)^(1/4))/x)","A",0
705,1,93,0,1.333293," ","integrate((x^4-x)^(1/4)/x^2,x, algorithm=""fricas"")","\frac{x \arctan\left(2 \, {\left(x^{4} - x\right)}^{\frac{1}{4}} x^{2} + 2 \, {\left(x^{4} - x\right)}^{\frac{3}{4}}\right) + x \log\left(-2 \, x^{3} - 2 \, {\left(x^{4} - x\right)}^{\frac{1}{4}} x^{2} - 2 \, \sqrt{x^{4} - x} x - 2 \, {\left(x^{4} - x\right)}^{\frac{3}{4}} + 1\right) - 4 \, {\left(x^{4} - x\right)}^{\frac{1}{4}}}{3 \, x}"," ",0,"1/3*(x*arctan(2*(x^4 - x)^(1/4)*x^2 + 2*(x^4 - x)^(3/4)) + x*log(-2*x^3 - 2*(x^4 - x)^(1/4)*x^2 - 2*sqrt(x^4 - x)*x - 2*(x^4 - x)^(3/4) + 1) - 4*(x^4 - x)^(1/4))/x","B",0
706,1,91,0,1.368628," ","integrate(x*(x^4-x)^(1/4),x, algorithm=""fricas"")","\frac{1}{3} \, {\left(x^{4} - x\right)}^{\frac{1}{4}} x^{2} - \frac{1}{12} \, \arctan\left(2 \, {\left(x^{4} - x\right)}^{\frac{1}{4}} x^{2} + 2 \, {\left(x^{4} - x\right)}^{\frac{3}{4}}\right) + \frac{1}{12} \, \log\left(2 \, x^{3} - 2 \, {\left(x^{4} - x\right)}^{\frac{1}{4}} x^{2} + 2 \, \sqrt{x^{4} - x} x - 2 \, {\left(x^{4} - x\right)}^{\frac{3}{4}} - 1\right)"," ",0,"1/3*(x^4 - x)^(1/4)*x^2 - 1/12*arctan(2*(x^4 - x)^(1/4)*x^2 + 2*(x^4 - x)^(3/4)) + 1/12*log(2*x^3 - 2*(x^4 - x)^(1/4)*x^2 + 2*sqrt(x^4 - x)*x - 2*(x^4 - x)^(3/4) - 1)","B",0
707,1,55,0,0.496392," ","integrate((a*x^3-b)*(x^4-x)^(1/2)/x^3,x, algorithm=""fricas"")","\frac{{\left(a + 2 \, b\right)} x^{2} \log\left(2 \, x^{3} - 2 \, \sqrt{x^{4} - x} x - 1\right) + 2 \, {\left(a x^{3} + 2 \, b\right)} \sqrt{x^{4} - x}}{6 \, x^{2}}"," ",0,"1/6*((a + 2*b)*x^2*log(2*x^3 - 2*sqrt(x^4 - x)*x - 1) + 2*(a*x^3 + 2*b)*sqrt(x^4 - x))/x^2","A",0
708,1,81,0,0.474755," ","integrate((x^4-x^3)^(1/4)/x^2,x, algorithm=""fricas"")","\frac{2 \, x \arctan\left(\frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + x \log\left(\frac{x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - x \log\left(-\frac{x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}"," ",0,"(2*x*arctan((x^4 - x^3)^(1/4)/x) + x*log((x + (x^4 - x^3)^(1/4))/x) - x*log(-(x - (x^4 - x^3)^(1/4))/x) - 4*(x^4 - x^3)^(1/4))/x","A",0
709,1,50,0,0.488413," ","integrate(x/(x^4+6*x^3-11*x^2+18*x-17)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \log\left(2 \, x^{4} + 24 \, x^{3} + 68 \, x^{2} + 2 \, \sqrt{x^{4} + 6 \, x^{3} - 11 \, x^{2} + 18 \, x - 17} {\left(x^{2} + 9 \, x + 17\right)} + 11\right)"," ",0,"1/4*log(2*x^4 + 24*x^3 + 68*x^2 + 2*sqrt(x^4 + 6*x^3 - 11*x^2 + 18*x - 17)*(x^2 + 9*x + 17) + 11)","A",0
710,1,77,0,0.598746," ","integrate((x^4-x^2-x-1)^(1/2)*(2*x^4+x+2)/(x^4-x-1)/(x^4+x^2-x-1),x, algorithm=""fricas"")","-\sqrt{2} \arctan\left(\frac{2 \, \sqrt{2} \sqrt{x^{4} - x^{2} - x - 1} x}{x^{4} - 3 \, x^{2} - x - 1}\right) + \arctan\left(\frac{2 \, \sqrt{x^{4} - x^{2} - x - 1} x}{x^{4} - 2 \, x^{2} - x - 1}\right)"," ",0,"-sqrt(2)*arctan(2*sqrt(2)*sqrt(x^4 - x^2 - x - 1)*x/(x^4 - 3*x^2 - x - 1)) + arctan(2*sqrt(x^4 - x^2 - x - 1)*x/(x^4 - 2*x^2 - x - 1))","A",0
711,1,109,0,0.468234," ","integrate(1/x/(a*x^4+b)^(3/4),x, algorithm=""fricas"")","\frac{1}{b^{3}}^{\frac{1}{4}} \arctan\left(\sqrt{b^{2} \sqrt{\frac{1}{b^{3}}} + \sqrt{a x^{4} + b}} b^{2} \frac{1}{b^{3}}^{\frac{3}{4}} - {\left(a x^{4} + b\right)}^{\frac{1}{4}} b^{2} \frac{1}{b^{3}}^{\frac{3}{4}}\right) - \frac{1}{4} \, \frac{1}{b^{3}}^{\frac{1}{4}} \log\left(b \frac{1}{b^{3}}^{\frac{1}{4}} + {\left(a x^{4} + b\right)}^{\frac{1}{4}}\right) + \frac{1}{4} \, \frac{1}{b^{3}}^{\frac{1}{4}} \log\left(-b \frac{1}{b^{3}}^{\frac{1}{4}} + {\left(a x^{4} + b\right)}^{\frac{1}{4}}\right)"," ",0,"(b^(-3))^(1/4)*arctan(sqrt(b^2*sqrt(b^(-3)) + sqrt(a*x^4 + b))*b^2*(b^(-3))^(3/4) - (a*x^4 + b)^(1/4)*b^2*(b^(-3))^(3/4)) - 1/4*(b^(-3))^(1/4)*log(b*(b^(-3))^(1/4) + (a*x^4 + b)^(1/4)) + 1/4*(b^(-3))^(1/4)*log(-b*(b^(-3))^(1/4) + (a*x^4 + b)^(1/4))","B",0
712,1,81,0,0.494333," ","integrate(1/x/(a*x^4+b)^(1/4),x, algorithm=""fricas"")","-\frac{\arctan\left(\frac{\sqrt{\sqrt{a x^{4} + b} + \sqrt{b}}}{b^{\frac{1}{4}}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} - \frac{\log\left({\left(a x^{4} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}\right)}{4 \, b^{\frac{1}{4}}} + \frac{\log\left({\left(a x^{4} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}\right)}{4 \, b^{\frac{1}{4}}}"," ",0,"-arctan(sqrt(sqrt(a*x^4 + b) + sqrt(b))/b^(1/4) - (a*x^4 + b)^(1/4)/b^(1/4))/b^(1/4) - 1/4*log((a*x^4 + b)^(1/4) + b^(1/4))/b^(1/4) + 1/4*log((a*x^4 + b)^(1/4) - b^(1/4))/b^(1/4)","B",0
713,1,110,0,0.490600," ","integrate(1/x/(a*x^5+b)^(3/4),x, algorithm=""fricas"")","\frac{4}{5} \, \frac{1}{b^{3}}^{\frac{1}{4}} \arctan\left(\sqrt{b^{2} \sqrt{\frac{1}{b^{3}}} + \sqrt{a x^{5} + b}} b^{2} \frac{1}{b^{3}}^{\frac{3}{4}} - {\left(a x^{5} + b\right)}^{\frac{1}{4}} b^{2} \frac{1}{b^{3}}^{\frac{3}{4}}\right) - \frac{1}{5} \, \frac{1}{b^{3}}^{\frac{1}{4}} \log\left(b \frac{1}{b^{3}}^{\frac{1}{4}} + {\left(a x^{5} + b\right)}^{\frac{1}{4}}\right) + \frac{1}{5} \, \frac{1}{b^{3}}^{\frac{1}{4}} \log\left(-b \frac{1}{b^{3}}^{\frac{1}{4}} + {\left(a x^{5} + b\right)}^{\frac{1}{4}}\right)"," ",0,"4/5*(b^(-3))^(1/4)*arctan(sqrt(b^2*sqrt(b^(-3)) + sqrt(a*x^5 + b))*b^2*(b^(-3))^(3/4) - (a*x^5 + b)^(1/4)*b^2*(b^(-3))^(3/4)) - 1/5*(b^(-3))^(1/4)*log(b*(b^(-3))^(1/4) + (a*x^5 + b)^(1/4)) + 1/5*(b^(-3))^(1/4)*log(-b*(b^(-3))^(1/4) + (a*x^5 + b)^(1/4))","B",0
714,1,47,0,0.464900," ","integrate((2*x^3+1)*(x^6-1)^(1/2)/x,x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{x^{6} - 1} {\left(x^{3} + 1\right)} - \frac{2}{3} \, \arctan\left(-x^{3} + \sqrt{x^{6} - 1}\right) + \frac{1}{3} \, \log\left(-x^{3} + \sqrt{x^{6} - 1}\right)"," ",0,"1/3*sqrt(x^6 - 1)*(x^3 + 1) - 2/3*arctan(-x^3 + sqrt(x^6 - 1)) + 1/3*log(-x^3 + sqrt(x^6 - 1))","A",0
715,-2,0,0,0.000000," ","integrate((x^3-2)*(x^4+x^3+x)^(1/3)/(x^6+x^5+x^4+2*x^3+x^2+1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
716,-2,0,0,0.000000," ","integrate((x^3-2)*(x^4+x^3+x)^(1/3)/(x^6+x^5+x^4+2*x^3+x^2+1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
717,1,110,0,0.472212," ","integrate(1/x/(a*x^6+b)^(3/4),x, algorithm=""fricas"")","\frac{2}{3} \, \frac{1}{b^{3}}^{\frac{1}{4}} \arctan\left(\sqrt{b^{2} \sqrt{\frac{1}{b^{3}}} + \sqrt{a x^{6} + b}} b^{2} \frac{1}{b^{3}}^{\frac{3}{4}} - {\left(a x^{6} + b\right)}^{\frac{1}{4}} b^{2} \frac{1}{b^{3}}^{\frac{3}{4}}\right) - \frac{1}{6} \, \frac{1}{b^{3}}^{\frac{1}{4}} \log\left(b \frac{1}{b^{3}}^{\frac{1}{4}} + {\left(a x^{6} + b\right)}^{\frac{1}{4}}\right) + \frac{1}{6} \, \frac{1}{b^{3}}^{\frac{1}{4}} \log\left(-b \frac{1}{b^{3}}^{\frac{1}{4}} + {\left(a x^{6} + b\right)}^{\frac{1}{4}}\right)"," ",0,"2/3*(b^(-3))^(1/4)*arctan(sqrt(b^2*sqrt(b^(-3)) + sqrt(a*x^6 + b))*b^2*(b^(-3))^(3/4) - (a*x^6 + b)^(1/4)*b^2*(b^(-3))^(3/4)) - 1/6*(b^(-3))^(1/4)*log(b*(b^(-3))^(1/4) + (a*x^6 + b)^(1/4)) + 1/6*(b^(-3))^(1/4)*log(-b*(b^(-3))^(1/4) + (a*x^6 + b)^(1/4))","B",0
718,-1,0,0,0.000000," ","integrate((a*x^4-2*b)/(a*x^4+b)^(1/4)/(x^8+a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
719,-1,0,0,0.000000," ","integrate((a*x^4-2*b)/(a*x^4+b)^(1/4)/(x^8+a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
720,-1,0,0,0.000000," ","integrate(x^2/(a*x^4+b)^(3/4)/(a^2*x^8+b^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
721,1,98,0,2.053578," ","integrate(1/(-1+x)/(-x^(1/2)+x)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(x - 1\right)} \log\left(-\frac{17 \, x^{2} + 4 \, {\left(\sqrt{2} {\left(3 \, x + 5\right)} \sqrt{x} - \sqrt{2} {\left(7 \, x + 1\right)}\right)} \sqrt{x - \sqrt{x}} - 16 \, {\left(3 \, x + 1\right)} \sqrt{x} + 46 \, x + 1}{x^{2} - 2 \, x + 1}\right) - 8 \, \sqrt{x - \sqrt{x}} {\left(\sqrt{x} + 1\right)}}{4 \, {\left(x - 1\right)}}"," ",0,"1/4*(sqrt(2)*(x - 1)*log(-(17*x^2 + 4*(sqrt(2)*(3*x + 5)*sqrt(x) - sqrt(2)*(7*x + 1))*sqrt(x - sqrt(x)) - 16*(3*x + 1)*sqrt(x) + 46*x + 1)/(x^2 - 2*x + 1)) - 8*sqrt(x - sqrt(x))*(sqrt(x) + 1))/(x - 1)","B",0
722,1,102,0,0.642781," ","integrate(1/(1+2*x)/(2*x^2+2*x+1)^(1/4),x, algorithm=""fricas"")","-\frac{1}{4} \cdot 8^{\frac{3}{4}} \arctan\left(\frac{1}{8} \cdot 8^{\frac{3}{4}} \sqrt{2 \, \sqrt{2} + 4 \, \sqrt{2 \, x^{2} + 2 \, x + 1}} - \frac{1}{4} \cdot 8^{\frac{3}{4}} {\left(2 \, x^{2} + 2 \, x + 1\right)}^{\frac{1}{4}}\right) - \frac{1}{16} \cdot 8^{\frac{3}{4}} \log\left(8^{\frac{1}{4}} + 2 \, {\left(2 \, x^{2} + 2 \, x + 1\right)}^{\frac{1}{4}}\right) + \frac{1}{16} \cdot 8^{\frac{3}{4}} \log\left(-8^{\frac{1}{4}} + 2 \, {\left(2 \, x^{2} + 2 \, x + 1\right)}^{\frac{1}{4}}\right)"," ",0,"-1/4*8^(3/4)*arctan(1/8*8^(3/4)*sqrt(2*sqrt(2) + 4*sqrt(2*x^2 + 2*x + 1)) - 1/4*8^(3/4)*(2*x^2 + 2*x + 1)^(1/4)) - 1/16*8^(3/4)*log(8^(1/4) + 2*(2*x^2 + 2*x + 1)^(1/4)) + 1/16*8^(3/4)*log(-8^(1/4) + 2*(2*x^2 + 2*x + 1)^(1/4))","B",0
723,1,117,0,0.630393," ","integrate((a*x^3+b)^(1/2)*(a*x^3+2*b)/x^4,x, algorithm=""fricas"")","\left[\frac{2 \, {\left(a \sqrt{b} x^{3} \log\left(\frac{a x^{3} - 2 \, \sqrt{a x^{3} + b} \sqrt{b} + 2 \, b}{x^{3}}\right) + \sqrt{a x^{3} + b} {\left(a x^{3} - b\right)}\right)}}{3 \, x^{3}}, \frac{2 \, {\left(2 \, a \sqrt{-b} x^{3} \arctan\left(\frac{\sqrt{a x^{3} + b} \sqrt{-b}}{b}\right) + \sqrt{a x^{3} + b} {\left(a x^{3} - b\right)}\right)}}{3 \, x^{3}}\right]"," ",0,"[2/3*(a*sqrt(b)*x^3*log((a*x^3 - 2*sqrt(a*x^3 + b)*sqrt(b) + 2*b)/x^3) + sqrt(a*x^3 + b)*(a*x^3 - b))/x^3, 2/3*(2*a*sqrt(-b)*x^3*arctan(sqrt(a*x^3 + b)*sqrt(-b)/b) + sqrt(a*x^3 + b)*(a*x^3 - b))/x^3]","A",0
724,-1,0,0,0.000000," ","integrate((p*x^3-2*q)*(p*x^3+q)^(1/2)/x^2/(a*p*x^3+b*x^2+a*q),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
725,1,50,0,0.506081," ","integrate((-1+2*x)/(x^4-10*x^3-3*x^2+4*x-8)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(x^{4} - 18 \, x^{3} + 89 \, x^{2} + \sqrt{x^{4} - 10 \, x^{3} - 3 \, x^{2} + 4 \, x - 8} {\left(x^{2} - 13 \, x + 38\right)} - 76 \, x - 90\right)"," ",0,"1/2*log(x^4 - 18*x^3 + 89*x^2 + sqrt(x^4 - 10*x^3 - 3*x^2 + 4*x - 8)*(x^2 - 13*x + 38) - 76*x - 90)","A",0
726,1,53,0,0.511022," ","integrate((-1+x)/(x^4-8*x^3+12*x^2-16*x+4)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \log\left(-x^{4} + 12 \, x^{3} - 44 \, x^{2} - \sqrt{x^{4} - 8 \, x^{3} + 12 \, x^{2} - 16 \, x + 4} {\left(x^{2} - 8 \, x + 14\right)} + 56 \, x - 36\right)"," ",0,"1/4*log(-x^4 + 12*x^3 - 44*x^2 - sqrt(x^4 - 8*x^3 + 12*x^2 - 16*x + 4)*(x^2 - 8*x + 14) + 56*x - 36)","A",0
727,-1,0,0,0.000000," ","integrate((p*x^5+q)^(1/2)*(3*p*x^5-2*q)/x^2/(a*p*x^5+b*x^2+a*q),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
728,1,223,0,0.803004," ","integrate(x^2*(4*x^5-1)/(x^5+1)^2/(a*x^5+a-x)/(x^6+x)^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(a x^{10} + 2 \, a x^{5} + a\right)} \sqrt{a} \log\left(-\frac{a^{2} x^{10} + 2 \, a^{2} x^{5} + 6 \, a x^{6} - 4 \, {\left(a x^{5} + a + x\right)} \sqrt{x^{6} + x} \sqrt{a} + a^{2} + 6 \, a x + x^{2}}{a^{2} x^{10} + 2 \, a^{2} x^{5} - 2 \, a x^{6} + a^{2} - 2 \, a x + x^{2}}\right) + 4 \, {\left(3 \, a x^{5} + 3 \, a + x\right)} \sqrt{x^{6} + x}}{6 \, {\left(x^{10} + 2 \, x^{5} + 1\right)}}, \frac{3 \, {\left(a x^{10} + 2 \, a x^{5} + a\right)} \sqrt{-a} \arctan\left(\frac{2 \, \sqrt{x^{6} + x} \sqrt{-a}}{a x^{5} + a + x}\right) + 2 \, {\left(3 \, a x^{5} + 3 \, a + x\right)} \sqrt{x^{6} + x}}{3 \, {\left(x^{10} + 2 \, x^{5} + 1\right)}}\right]"," ",0,"[1/6*(3*(a*x^10 + 2*a*x^5 + a)*sqrt(a)*log(-(a^2*x^10 + 2*a^2*x^5 + 6*a*x^6 - 4*(a*x^5 + a + x)*sqrt(x^6 + x)*sqrt(a) + a^2 + 6*a*x + x^2)/(a^2*x^10 + 2*a^2*x^5 - 2*a*x^6 + a^2 - 2*a*x + x^2)) + 4*(3*a*x^5 + 3*a + x)*sqrt(x^6 + x))/(x^10 + 2*x^5 + 1), 1/3*(3*(a*x^10 + 2*a*x^5 + a)*sqrt(-a)*arctan(2*sqrt(x^6 + x)*sqrt(-a)/(a*x^5 + a + x)) + 2*(3*a*x^5 + 3*a + x)*sqrt(x^6 + x))/(x^10 + 2*x^5 + 1)]","A",0
729,1,59,0,0.690424," ","integrate((x^4-x)^(1/2)*(a*x^6-b)/x^6,x, algorithm=""fricas"")","\frac{3 \, a x^{5} \log\left(2 \, x^{3} - 2 \, \sqrt{x^{4} - x} x - 1\right) + 2 \, {\left(3 \, a x^{6} - 2 \, b x^{3} + 2 \, b\right)} \sqrt{x^{4} - x}}{18 \, x^{5}}"," ",0,"1/18*(3*a*x^5*log(2*x^3 - 2*sqrt(x^4 - x)*x - 1) + 2*(3*a*x^6 - 2*b*x^3 + 2*b)*sqrt(x^4 - x))/x^5","A",0
730,-1,0,0,0.000000," ","integrate((p*x^6-2*q)*(p*x^6+q)^(1/2)/x^3/(a*p*x^6+b*x^4+a*q),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
731,1,52,0,0.505577," ","integrate(2*(p*x^6-2*q)*(p*x^6+q)^(1/2)*(a*p*x^6+b*x^4+a*q)/x^11,x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, a p^{2} x^{12} + 5 \, b p x^{10} + 6 \, a p q x^{6} + 5 \, b q x^{4} + 3 \, a q^{2}\right)} \sqrt{p x^{6} + q}}{15 \, x^{10}}"," ",0,"2/15*(3*a*p^2*x^12 + 5*b*p*x^10 + 6*a*p*q*x^6 + 5*b*q*x^4 + 3*a*q^2)*sqrt(p*x^6 + q)/x^10","A",0
732,1,61,0,0.516404," ","integrate(1/x^3/(x^8-16*x^6+96*x^4-256*x^2+256)^(1/8),x, algorithm=""fricas"")","\frac{x^{2} \arctan\left(-\frac{1}{2} \, x + \frac{1}{2} \, {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}}\right) + {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}}}{8 \, x^{2}}"," ",0,"1/8*(x^2*arctan(-1/2*x + 1/2*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8)) + (x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8))/x^2","A",0
733,-1,0,0,0.000000," ","integrate(x^3*(8*a*x^3+5*b)/(a*x^4+b*x)^(1/4)/(a*x^8+b*x^5-2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
734,1,44,0,0.479116," ","integrate((-y^4-x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, {\left(y^{4} - 1\right)} \arctan\left(\frac{\sqrt{-y^{4} - x^{2} + 1}}{x}\right) + \frac{1}{2} \, \sqrt{-y^{4} - x^{2} + 1} x"," ",0,"1/2*(y^4 - 1)*arctan(sqrt(-y^4 - x^2 + 1)/x) + 1/2*sqrt(-y^4 - x^2 + 1)*x","A",0
735,1,345,0,1.139267," ","integrate((k^2*x^2-2*k^2*x+1)/((1-x)*x*(-k^2*x+1))^(1/2)/(-a-b*x+(a*k^2+b*k^2)*x^2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a^{2} - a b} \log\left(\frac{{\left(a^{2} + 2 \, a b + b^{2}\right)} k^{4} x^{4} - 2 \, {\left(4 \, a^{2} + 5 \, a b + b^{2}\right)} k^{2} x^{3} + {\left(6 \, {\left(a^{2} + a b\right)} k^{2} + 8 \, a^{2} + 8 \, a b + b^{2}\right)} x^{2} - 4 \, {\left({\left(a + b\right)} k^{2} x^{2} - {\left(2 \, a + b\right)} x + a\right)} \sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} \sqrt{-a^{2} - a b} + a^{2} - 2 \, {\left(4 \, a^{2} + 3 \, a b\right)} x}{{\left(a^{2} + 2 \, a b + b^{2}\right)} k^{4} x^{4} - 2 \, {\left(a b + b^{2}\right)} k^{2} x^{3} + 2 \, a b x - {\left(2 \, {\left(a^{2} + a b\right)} k^{2} - b^{2}\right)} x^{2} + a^{2}}\right)}{2 \, {\left(a^{2} + a b\right)}}, \frac{\arctan\left(\frac{{\left({\left(a + b\right)} k^{2} x^{2} - {\left(2 \, a + b\right)} x + a\right)} \sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} \sqrt{a^{2} + a b}}{2 \, {\left({\left(a^{2} + a b\right)} k^{2} x^{3} - {\left({\left(a^{2} + a b\right)} k^{2} + a^{2} + a b\right)} x^{2} + {\left(a^{2} + a b\right)} x\right)}}\right)}{\sqrt{a^{2} + a b}}\right]"," ",0,"[-1/2*sqrt(-a^2 - a*b)*log(((a^2 + 2*a*b + b^2)*k^4*x^4 - 2*(4*a^2 + 5*a*b + b^2)*k^2*x^3 + (6*(a^2 + a*b)*k^2 + 8*a^2 + 8*a*b + b^2)*x^2 - 4*((a + b)*k^2*x^2 - (2*a + b)*x + a)*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*sqrt(-a^2 - a*b) + a^2 - 2*(4*a^2 + 3*a*b)*x)/((a^2 + 2*a*b + b^2)*k^4*x^4 - 2*(a*b + b^2)*k^2*x^3 + 2*a*b*x - (2*(a^2 + a*b)*k^2 - b^2)*x^2 + a^2))/(a^2 + a*b), arctan(1/2*((a + b)*k^2*x^2 - (2*a + b)*x + a)*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*sqrt(a^2 + a*b)/((a^2 + a*b)*k^2*x^3 - ((a^2 + a*b)*k^2 + a^2 + a*b)*x^2 + (a^2 + a*b)*x))/sqrt(a^2 + a*b)]","B",0
736,-1,0,0,0.000000," ","integrate((a*b*c-(a+b+c)*x^2+2*x^3)/(x*(-a+x)*(-b+x)*(-c+x))^(1/2)/(-a*b*c*d+(a*b*d+a*c*d+b*c*d-1)*x-(a+b+c)*d*x^2+d*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
737,1,70,0,0.573428," ","integrate(x^6*(x^4-1)^(1/4),x, algorithm=""fricas"")","\frac{1}{32} \, {\left(4 \, x^{7} - x^{3}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} - \frac{3}{64} \, \arctan\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{3}{128} \, \log\left(\frac{x + {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{3}{128} \, \log\left(-\frac{x - {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"1/32*(4*x^7 - x^3)*(x^4 - 1)^(1/4) - 3/64*arctan((x^4 - 1)^(1/4)/x) - 3/128*log((x + (x^4 - 1)^(1/4))/x) + 3/128*log(-(x - (x^4 - 1)^(1/4))/x)","A",0
738,1,72,0,0.588202," ","integrate((-1+2*x)*(x^4+x^3)^(1/4)/x,x, algorithm=""fricas"")","\frac{1}{4} \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(4 \, x - 3\right)} - \frac{7}{8} \, \arctan\left(\frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{7}{16} \, \log\left(\frac{x + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{7}{16} \, \log\left(-\frac{x - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"1/4*(x^4 + x^3)^(1/4)*(4*x - 3) - 7/8*arctan((x^4 + x^3)^(1/4)/x) - 7/16*log((x + (x^4 + x^3)^(1/4))/x) + 7/16*log(-(x - (x^4 + x^3)^(1/4))/x)","A",0
739,1,180,0,0.606535," ","integrate((x^4-2*x^3+x^2-1)^(1/2)*(x^4-x^3+1)/(x^4-2*x^3-1)/(2*x^4-4*x^3-x^2-2),x, algorithm=""fricas"")","\frac{1}{8} \, \sqrt{3} \sqrt{2} \log\left(-\frac{4 \, x^{8} - 16 \, x^{7} + 60 \, x^{6} - 88 \, x^{5} + 41 \, x^{4} + 16 \, x^{3} - 4 \, \sqrt{3} \sqrt{2} {\left(2 \, x^{5} - 4 \, x^{4} + 5 \, x^{3} - 2 \, x\right)} \sqrt{x^{4} - 2 \, x^{3} + x^{2} - 1} - 44 \, x^{2} + 4}{4 \, x^{8} - 16 \, x^{7} + 12 \, x^{6} + 8 \, x^{5} - 7 \, x^{4} + 16 \, x^{3} + 4 \, x^{2} + 4}\right) + \frac{1}{2} \, \log\left(-\frac{x^{4} - 2 \, x^{3} + 2 \, x^{2} + 2 \, \sqrt{x^{4} - 2 \, x^{3} + x^{2} - 1} x - 1}{x^{4} - 2 \, x^{3} - 1}\right)"," ",0,"1/8*sqrt(3)*sqrt(2)*log(-(4*x^8 - 16*x^7 + 60*x^6 - 88*x^5 + 41*x^4 + 16*x^3 - 4*sqrt(3)*sqrt(2)*(2*x^5 - 4*x^4 + 5*x^3 - 2*x)*sqrt(x^4 - 2*x^3 + x^2 - 1) - 44*x^2 + 4)/(4*x^8 - 16*x^7 + 12*x^6 + 8*x^5 - 7*x^4 + 16*x^3 + 4*x^2 + 4)) + 1/2*log(-(x^4 - 2*x^3 + 2*x^2 + 2*sqrt(x^4 - 2*x^3 + x^2 - 1)*x - 1)/(x^4 - 2*x^3 - 1))","B",0
740,1,134,0,0.481104," ","integrate(x^2/(a*x^4+b)^(3/4),x, algorithm=""fricas"")","-\frac{1}{a^{3}}^{\frac{1}{4}} \arctan\left(\frac{a^{2} x \sqrt{\frac{a^{2} \sqrt{\frac{1}{a^{3}}} x^{2} + \sqrt{a x^{4} + b}}{x^{2}}} \frac{1}{a^{3}}^{\frac{3}{4}} - {\left(a x^{4} + b\right)}^{\frac{1}{4}} a^{2} \frac{1}{a^{3}}^{\frac{3}{4}}}{x}\right) + \frac{1}{4} \, \frac{1}{a^{3}}^{\frac{1}{4}} \log\left(\frac{a \frac{1}{a^{3}}^{\frac{1}{4}} x + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{4} \, \frac{1}{a^{3}}^{\frac{1}{4}} \log\left(-\frac{a \frac{1}{a^{3}}^{\frac{1}{4}} x - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-(a^(-3))^(1/4)*arctan((a^2*x*sqrt((a^2*sqrt(a^(-3))*x^2 + sqrt(a*x^4 + b))/x^2)*(a^(-3))^(3/4) - (a*x^4 + b)^(1/4)*a^2*(a^(-3))^(3/4))/x) + 1/4*(a^(-3))^(1/4)*log((a*(a^(-3))^(1/4)*x + (a*x^4 + b)^(1/4))/x) - 1/4*(a^(-3))^(1/4)*log(-(a*(a^(-3))^(1/4)*x - (a*x^4 + b)^(1/4))/x)","B",0
741,-1,0,0,0.000000," ","integrate(1/(a*x^4+b)^(1/4)/(a*x^8-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
742,-1,0,0,0.000000," ","integrate((a*x^8-b)/(a*x^8+b)^(1/4)/(a*x^8-c*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
743,1,124,0,75.476624," ","integrate((2*x^5-3)*(x^10+x^6+2*x^5+1)/x^6/(x^5-x^3+1)/(x^6+x)^(1/4),x, algorithm=""fricas"")","-\frac{2 \, {\left(21 \, x^{6} \arctan\left(\frac{2 \, {\left({\left(x^{6} + x\right)}^{\frac{1}{4}} x^{2} + {\left(x^{6} + x\right)}^{\frac{3}{4}}\right)}}{x^{5} - x^{3} + 1}\right) - 21 \, x^{6} \log\left(\frac{x^{5} + x^{3} - 2 \, {\left(x^{6} + x\right)}^{\frac{1}{4}} x^{2} + 2 \, \sqrt{x^{6} + x} x - 2 \, {\left(x^{6} + x\right)}^{\frac{3}{4}} + 1}{x^{5} - x^{3} + 1}\right) - 2 \, {\left(x^{6} + x\right)}^{\frac{3}{4}} {\left(3 \, x^{5} + 7 \, x^{3} + 3\right)}\right)}}{21 \, x^{6}}"," ",0,"-2/21*(21*x^6*arctan(2*((x^6 + x)^(1/4)*x^2 + (x^6 + x)^(3/4))/(x^5 - x^3 + 1)) - 21*x^6*log((x^5 + x^3 - 2*(x^6 + x)^(1/4)*x^2 + 2*sqrt(x^6 + x)*x - 2*(x^6 + x)^(3/4) + 1)/(x^5 - x^3 + 1)) - 2*(x^6 + x)^(3/4)*(3*x^5 + 7*x^3 + 3))/x^6","B",0
744,1,61,0,0.976523," ","integrate((x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{x^{2} + \sqrt{x^{4} + 1}} x - \frac{1}{4} \, \sqrt{2} \arctan\left(-\frac{{\left(\sqrt{2} x^{2} - \sqrt{2} \sqrt{x^{4} + 1}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{2 \, x}\right)"," ",0,"1/2*sqrt(x^2 + sqrt(x^4 + 1))*x - 1/4*sqrt(2)*arctan(-1/2*(sqrt(2)*x^2 - sqrt(2)*sqrt(x^4 + 1))*sqrt(x^2 + sqrt(x^4 + 1))/x)","A",0
745,1,76,0,0.679756," ","integrate((x^2-x-1)/(x^2+1)/(x^3-x)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \arctan\left(\frac{x^{2} - 2 \, x - 1}{2 \, \sqrt{x^{3} - x}}\right) + \frac{3}{8} \, \log\left(\frac{x^{4} + 8 \, x^{3} + 2 \, x^{2} - 4 \, \sqrt{x^{3} - x} {\left(x^{2} + 2 \, x - 1\right)} - 8 \, x + 1}{x^{4} + 2 \, x^{2} + 1}\right)"," ",0,"1/4*arctan(1/2*(x^2 - 2*x - 1)/sqrt(x^3 - x)) + 3/8*log((x^4 + 8*x^3 + 2*x^2 - 4*sqrt(x^3 - x)*(x^2 + 2*x - 1) - 8*x + 1)/(x^4 + 2*x^2 + 1))","A",0
746,1,76,0,0.513079," ","integrate((x^2+x-1)/(x^2+1)/(x^3-x)^(1/2),x, algorithm=""fricas"")","\frac{3}{4} \, \arctan\left(\frac{x^{2} - 2 \, x - 1}{2 \, \sqrt{x^{3} - x}}\right) + \frac{1}{8} \, \log\left(\frac{x^{4} + 8 \, x^{3} + 2 \, x^{2} - 4 \, \sqrt{x^{3} - x} {\left(x^{2} + 2 \, x - 1\right)} - 8 \, x + 1}{x^{4} + 2 \, x^{2} + 1}\right)"," ",0,"3/4*arctan(1/2*(x^2 - 2*x - 1)/sqrt(x^3 - x)) + 1/8*log((x^4 + 8*x^3 + 2*x^2 - 4*sqrt(x^3 - x)*(x^2 + 2*x - 1) - 8*x + 1)/(x^4 + 2*x^2 + 1))","A",0
747,1,76,0,0.743179," ","integrate((7*x^2+x-7)/(x^2+1)/(x^3-x)^(1/2),x, algorithm=""fricas"")","\frac{15}{4} \, \arctan\left(\frac{x^{2} - 2 \, x - 1}{2 \, \sqrt{x^{3} - x}}\right) + \frac{13}{8} \, \log\left(\frac{x^{4} + 8 \, x^{3} + 2 \, x^{2} - 4 \, \sqrt{x^{3} - x} {\left(x^{2} + 2 \, x - 1\right)} - 8 \, x + 1}{x^{4} + 2 \, x^{2} + 1}\right)"," ",0,"15/4*arctan(1/2*(x^2 - 2*x - 1)/sqrt(x^3 - x)) + 13/8*log((x^4 + 8*x^3 + 2*x^2 - 4*sqrt(x^3 - x)*(x^2 + 2*x - 1) - 8*x + 1)/(x^4 + 2*x^2 + 1))","A",0
748,1,193,0,3.103453," ","integrate(1/(-2+x)/(x^3-x^2)^(1/4),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{2 \, {\left(\sqrt{2} {\left(x^{3} - x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \, \sqrt{2} {\left(x^{3} - x^{2}\right)}^{\frac{3}{4}}\right)}}{x^{3} - 4 \, x^{2} + 4 \, x}\right) + \frac{1}{8} \, \sqrt{2} \log\left(-\frac{x^{5} + 56 \, x^{4} - 40 \, x^{3} - 8 \, \sqrt{2} {\left(x^{3} - x^{2}\right)}^{\frac{3}{4}} {\left(3 \, x^{2} + 4 \, x - 4\right)} - 32 \, x^{2} - 4 \, \sqrt{2} {\left(x^{4} + 12 \, x^{3} - 12 \, x^{2}\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{4}} + 16 \, {\left(x^{3} + 4 \, x^{2} - 4 \, x\right)} \sqrt{x^{3} - x^{2}} + 16 \, x}{x^{5} - 8 \, x^{4} + 24 \, x^{3} - 32 \, x^{2} + 16 \, x}\right)"," ",0,"1/4*sqrt(2)*arctan(2*(sqrt(2)*(x^3 - x^2)^(1/4)*x^2 + 2*sqrt(2)*(x^3 - x^2)^(3/4))/(x^3 - 4*x^2 + 4*x)) + 1/8*sqrt(2)*log(-(x^5 + 56*x^4 - 40*x^3 - 8*sqrt(2)*(x^3 - x^2)^(3/4)*(3*x^2 + 4*x - 4) - 32*x^2 - 4*sqrt(2)*(x^4 + 12*x^3 - 12*x^2)*(x^3 - x^2)^(1/4) + 16*(x^3 + 4*x^2 - 4*x)*sqrt(x^3 - x^2) + 16*x)/(x^5 - 8*x^4 + 24*x^3 - 32*x^2 + 16*x))","B",0
749,1,54,0,0.478077," ","integrate((a*x^3+b)*(x^4-x)^(1/2),x, algorithm=""fricas"")","\frac{1}{24} \, {\left(a + 4 \, b\right)} \log\left(2 \, x^{3} - 2 \, \sqrt{x^{4} - x} x - 1\right) + \frac{1}{12} \, {\left(2 \, a x^{4} - {\left(a - 4 \, b\right)} x\right)} \sqrt{x^{4} - x}"," ",0,"1/24*(a + 4*b)*log(2*x^3 - 2*sqrt(x^4 - x)*x - 1) + 1/12*(2*a*x^4 - (a - 4*b)*x)*sqrt(x^4 - x)","A",0
750,1,63,0,0.556558," ","integrate((2*x^2-x-2)/(x^2+1)/(x^4+x^2+1)^(1/2),x, algorithm=""fricas"")","2 \, \arctan\left(\frac{\sqrt{x^{4} + x^{2} + 1}}{x}\right) + \frac{1}{4} \, \log\left(\frac{5 \, x^{4} + 2 \, x^{2} - 4 \, \sqrt{x^{4} + x^{2} + 1} {\left(x^{2} - 1\right)} + 5}{x^{4} + 2 \, x^{2} + 1}\right)"," ",0,"2*arctan(sqrt(x^4 + x^2 + 1)/x) + 1/4*log((5*x^4 + 2*x^2 - 4*sqrt(x^4 + x^2 + 1)*(x^2 - 1) + 5)/(x^4 + 2*x^2 + 1))","A",0
751,-1,0,0,0.000000," ","integrate(x^3*(9*a*x^4-5*b)/(a*x^5-b*x)^(1/4)/(a*x^9-b*x^5-2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
752,1,89,0,0.530551," ","integrate((x^2+1)/(x^2-1)/(x^3+x^2+x)^(1/2),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{3} \log\left(\frac{x^{4} + 20 \, x^{3} - 4 \, \sqrt{3} \sqrt{x^{3} + x^{2} + x} {\left(x^{2} + 4 \, x + 1\right)} + 30 \, x^{2} + 20 \, x + 1}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right) + \frac{1}{2} \, \arctan\left(\frac{x^{2} + 1}{2 \, \sqrt{x^{3} + x^{2} + x}}\right)"," ",0,"1/12*sqrt(3)*log((x^4 + 20*x^3 - 4*sqrt(3)*sqrt(x^3 + x^2 + x)*(x^2 + 4*x + 1) + 30*x^2 + 20*x + 1)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)) + 1/2*arctan(1/2*(x^2 + 1)/sqrt(x^3 + x^2 + x))","A",0
753,-1,0,0,0.000000," ","integrate((a*b*c-(a+b+c)*x^2+2*x^3)/(x*(-a+x)*(-b+x)*(-c+x))^(1/2)/(-a*b*c+(a*b+a*c+b*c-d)*x-(a+b+c)*x^2+x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
754,1,138,0,0.483801," ","integrate((a*x^3-b)*(a*x^3+b)^(1/2)/x^7,x, algorithm=""fricas"")","\left[\frac{5 \, a^{2} \sqrt{b} x^{6} \log\left(\frac{a x^{3} - 2 \, \sqrt{a x^{3} + b} \sqrt{b} + 2 \, b}{x^{3}}\right) - 2 \, {\left(3 \, a b x^{3} - 2 \, b^{2}\right)} \sqrt{a x^{3} + b}}{24 \, b x^{6}}, \frac{5 \, a^{2} \sqrt{-b} x^{6} \arctan\left(\frac{\sqrt{a x^{3} + b} \sqrt{-b}}{b}\right) - {\left(3 \, a b x^{3} - 2 \, b^{2}\right)} \sqrt{a x^{3} + b}}{12 \, b x^{6}}\right]"," ",0,"[1/24*(5*a^2*sqrt(b)*x^6*log((a*x^3 - 2*sqrt(a*x^3 + b)*sqrt(b) + 2*b)/x^3) - 2*(3*a*b*x^3 - 2*b^2)*sqrt(a*x^3 + b))/(b*x^6), 1/12*(5*a^2*sqrt(-b)*x^6*arctan(sqrt(a*x^3 + b)*sqrt(-b)/b) - (3*a*b*x^3 - 2*b^2)*sqrt(a*x^3 + b))/(b*x^6)]","A",0
755,1,136,0,0.621842," ","integrate((a*x^3+b)^(1/2)*(a*x^3+2*b)/x^7,x, algorithm=""fricas"")","\left[\frac{a^{2} \sqrt{b} x^{6} \log\left(\frac{a x^{3} - 2 \, \sqrt{a x^{3} + b} \sqrt{b} + 2 \, b}{x^{3}}\right) - 2 \, {\left(3 \, a b x^{3} + 2 \, b^{2}\right)} \sqrt{a x^{3} + b}}{12 \, b x^{6}}, \frac{a^{2} \sqrt{-b} x^{6} \arctan\left(\frac{\sqrt{a x^{3} + b} \sqrt{-b}}{b}\right) - {\left(3 \, a b x^{3} + 2 \, b^{2}\right)} \sqrt{a x^{3} + b}}{6 \, b x^{6}}\right]"," ",0,"[1/12*(a^2*sqrt(b)*x^6*log((a*x^3 - 2*sqrt(a*x^3 + b)*sqrt(b) + 2*b)/x^3) - 2*(3*a*b*x^3 + 2*b^2)*sqrt(a*x^3 + b))/(b*x^6), 1/6*(a^2*sqrt(-b)*x^6*arctan(sqrt(a*x^3 + b)*sqrt(-b)/b) - (3*a*b*x^3 + 2*b^2)*sqrt(a*x^3 + b))/(b*x^6)]","A",0
756,-1,0,0,0.000000," ","integrate((3*a*b*c*x-2*(a*b+a*c+b*c)*x^2+(a+b+c)*x^3)/(x*(-a+x)*(-b+x)*(-c+x))^(1/2)/(a*b*c-(a*b+a*c+b*c)*x+(a+b+c)*x^2+(-1+d)*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
757,-1,0,0,0.000000," ","integrate(x*(3*a*b*c-2*(a*b+a*c+b*c)*x+(a+b+c)*x^2)/(x*(-a+x)*(-b+x)*(-c+x))^(1/2)/(-a*b*c*d+(a*b+a*c+b*c)*d*x-(a+b+c)*d*x^2+(-1+d)*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
758,1,110,0,2.743504," ","integrate((x^4-x^2)^(1/4),x, algorithm=""fricas"")","\frac{1}{2} \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x - \frac{1}{8} \, \arctan\left(\frac{2 \, {\left({\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} + {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}\right)}}{x}\right) + \frac{1}{8} \, \log\left(-\frac{2 \, x^{3} - 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \, \sqrt{x^{4} - x^{2}} x - x - 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{x}\right)"," ",0,"1/2*(x^4 - x^2)^(1/4)*x - 1/8*arctan(2*((x^4 - x^2)^(1/4)*x^2 + (x^4 - x^2)^(3/4))/x) + 1/8*log(-(2*x^3 - 2*(x^4 - x^2)^(1/4)*x^2 + 2*sqrt(x^4 - x^2)*x - x - 2*(x^4 - x^2)^(3/4))/x)","B",0
759,1,102,0,2.557206," ","integrate(x^2*(x^4+x^2)^(1/4),x, algorithm=""fricas"")","\frac{1}{16} \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} {\left(4 \, x^{3} + x\right)} + \frac{3}{64} \, \arctan\left(\frac{2 \, {\left({\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x^{2} + {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x}\right) + \frac{3}{64} \, \log\left(-\frac{2 \, x^{3} - 2 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \, \sqrt{x^{4} + x^{2}} x + x - 2 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{x}\right)"," ",0,"1/16*(x^4 + x^2)^(1/4)*(4*x^3 + x) + 3/64*arctan(2*((x^4 + x^2)^(1/4)*x^2 + (x^4 + x^2)^(3/4))/x) + 3/64*log(-(2*x^3 - 2*(x^4 + x^2)^(1/4)*x^2 + 2*sqrt(x^4 + x^2)*x + x - 2*(x^4 + x^2)^(3/4))/x)","B",0
760,1,92,0,0.662422," ","integrate((2*x^4-1)*(2*x^4+3*x^2+1)^(1/2)/(2*x^4+2*x^2+1)^2,x, algorithm=""fricas"")","\frac{{\left(2 \, x^{4} + 2 \, x^{2} + 1\right)} \log\left(\frac{2 \, x^{4} + 4 \, x^{2} - 2 \, \sqrt{2 \, x^{4} + 3 \, x^{2} + 1} x + 1}{2 \, x^{4} + 2 \, x^{2} + 1}\right) - 2 \, \sqrt{2 \, x^{4} + 3 \, x^{2} + 1} x}{4 \, {\left(2 \, x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"1/4*((2*x^4 + 2*x^2 + 1)*log((2*x^4 + 4*x^2 - 2*sqrt(2*x^4 + 3*x^2 + 1)*x + 1)/(2*x^4 + 2*x^2 + 1)) - 2*sqrt(2*x^4 + 3*x^2 + 1)*x)/(2*x^4 + 2*x^2 + 1)","A",0
761,1,168,0,1.259343," ","integrate((2*x^4-2*x^3+x^2-2)^(1/2)*(2*x^4-x^3+2)/(x^4-x^3-1)/(2*x^4-2*x^3-x^2-2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \log\left(-\frac{4 \, x^{8} - 8 \, x^{7} + 32 \, x^{6} - 28 \, x^{5} + 9 \, x^{4} + 8 \, x^{3} - 4 \, \sqrt{2} {\left(2 \, x^{5} - 2 \, x^{4} + 3 \, x^{3} - 2 \, x\right)} \sqrt{2 \, x^{4} - 2 \, x^{3} + x^{2} - 2} - 28 \, x^{2} + 4}{4 \, x^{8} - 8 \, x^{7} + 4 \, x^{5} - 7 \, x^{4} + 8 \, x^{3} + 4 \, x^{2} + 4}\right) + \log\left(-\frac{x^{4} - x^{3} + x^{2} + \sqrt{2 \, x^{4} - 2 \, x^{3} + x^{2} - 2} x - 1}{x^{4} - x^{3} - 1}\right)"," ",0,"1/2*sqrt(2)*log(-(4*x^8 - 8*x^7 + 32*x^6 - 28*x^5 + 9*x^4 + 8*x^3 - 4*sqrt(2)*(2*x^5 - 2*x^4 + 3*x^3 - 2*x)*sqrt(2*x^4 - 2*x^3 + x^2 - 2) - 28*x^2 + 4)/(4*x^8 - 8*x^7 + 4*x^5 - 7*x^4 + 8*x^3 + 4*x^2 + 4)) + log(-(x^4 - x^3 + x^2 + sqrt(2*x^4 - 2*x^3 + x^2 - 2)*x - 1)/(x^4 - x^3 - 1))","B",0
762,1,132,0,0.615853," ","integrate((a*x^2-b)/(a*x^2+b)/(a^2*x^4+b^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{1}{4} \, \sqrt{2} \sqrt{-\frac{1}{a b}} \log\left(\frac{a^{2} x^{4} + 2 \, \sqrt{2} \sqrt{a^{2} x^{4} + b^{2}} a b x \sqrt{-\frac{1}{a b}} - 2 \, a b x^{2} + b^{2}}{a^{2} x^{4} + 2 \, a b x^{2} + b^{2}}\right), \frac{1}{2} \, \sqrt{2} \sqrt{\frac{1}{a b}} \arctan\left(\frac{\sqrt{2} \sqrt{a^{2} x^{4} + b^{2}} \sqrt{\frac{1}{a b}}}{2 \, x}\right)\right]"," ",0,"[1/4*sqrt(2)*sqrt(-1/(a*b))*log((a^2*x^4 + 2*sqrt(2)*sqrt(a^2*x^4 + b^2)*a*b*x*sqrt(-1/(a*b)) - 2*a*b*x^2 + b^2)/(a^2*x^4 + 2*a*b*x^2 + b^2)), 1/2*sqrt(2)*sqrt(1/(a*b))*arctan(1/2*sqrt(2)*sqrt(a^2*x^4 + b^2)*sqrt(1/(a*b))/x)]","A",0
763,-1,0,0,0.000000," ","integrate((a*x^4+3*b)/(a*x^4-x^3-b)/(a*x^5-b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
764,1,47,0,0.561507," ","integrate((x^3-1)*(x^6-1)^(1/2)/x,x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{x^{6} - 1} {\left(x^{3} - 2\right)} + \frac{2}{3} \, \arctan\left(-x^{3} + \sqrt{x^{6} - 1}\right) + \frac{1}{6} \, \log\left(-x^{3} + \sqrt{x^{6} - 1}\right)"," ",0,"1/6*sqrt(x^6 - 1)*(x^3 - 2) + 2/3*arctan(-x^3 + sqrt(x^6 - 1)) + 1/6*log(-x^3 + sqrt(x^6 - 1))","A",0
765,-2,0,0,0.000000," ","integrate(x*(3+4*x)*(x^3-2*x-1)^(1/3)/(x^6-8*x^2-8*x-2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
766,-2,0,0,0.000000," ","integrate(x*(3+4*x)*(x^3-2*x-1)^(1/3)/(x^6-8*x^2-8*x-2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
767,-2,0,0,0.000000," ","integrate((3+2*x)*(x^3+x+1)^(2/3)/(x^6+x^4+x^3+x^2+2*x+1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
768,-2,0,0,0.000000," ","integrate((3+2*x)*(x^3+x+1)^(2/3)/(x^6+x^4+x^3+x^2+2*x+1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
769,-2,0,0,0.000000," ","integrate((x^3+2)*(-x^4+x^3+x)^(1/3)/(x^6-x^5+x^4-2*x^3+x^2+1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
770,-2,0,0,0.000000," ","integrate((x^3+2)*(-x^4+x^3+x)^(1/3)/(x^6-x^5+x^4-2*x^3+x^2+1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
771,-2,0,0,0.000000," ","integrate((x^2+3)*(x^3+x^2+1)^(2/3)/(x^6+x^5-x^4+x^3-2*x^2-1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
772,-2,0,0,0.000000," ","integrate((x^2+3)*(x^3+x^2+1)^(2/3)/(x^6+x^5-x^4+x^3-2*x^2-1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
773,-1,0,0,0.000000," ","integrate((a*x^8+b)/(-a*x^8+b)^(1/4)/(a*x^8+c*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
774,-2,0,0,0.000000," ","integrate(x*(x^8-x^3+2)^(1/3)*(5*x^8-6)/(x^16+4*x^8+x^6+4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
775,1,349,0,22.596886," ","integrate((a*b+a*c-2*a*x-b*c+x^2)/((-a+x)*(-b+x)*(-c+x))^(1/2)/(b*c+a*d-(b+c+d)*x+x^2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{b^{2} c^{2} - 6 \, a b c d + a^{2} d^{2} - 2 \, {\left(b + c - 3 \, d\right)} x^{3} + x^{4} + {\left(b^{2} + 4 \, b c + c^{2} - 6 \, {\left(a + b + c\right)} d + d^{2}\right)} x^{2} - 4 \, \sqrt{-a b c - {\left(a + b + c\right)} x^{2} + x^{3} + {\left(a b + {\left(a + b\right)} c\right)} x} {\left(b c - a d - {\left(b + c - d\right)} x + x^{2}\right)} \sqrt{d} - 2 \, {\left(b^{2} c + b c^{2} + a d^{2} - 3 \, {\left(a b + {\left(a + b\right)} c\right)} d\right)} x}{b^{2} c^{2} + 2 \, a b c d + a^{2} d^{2} - 2 \, {\left(b + c + d\right)} x^{3} + x^{4} + {\left(b^{2} + 4 \, b c + c^{2} + 2 \, {\left(a + b + c\right)} d + d^{2}\right)} x^{2} - 2 \, {\left(b^{2} c + b c^{2} + a d^{2} + {\left(a b + {\left(a + b\right)} c\right)} d\right)} x}\right)}{2 \, \sqrt{d}}, \frac{\sqrt{-d} \arctan\left(-\frac{\sqrt{-a b c - {\left(a + b + c\right)} x^{2} + x^{3} + {\left(a b + {\left(a + b\right)} c\right)} x} {\left(b c - a d - {\left(b + c - d\right)} x + x^{2}\right)} \sqrt{-d}}{2 \, {\left(a b c d + {\left(a + b + c\right)} d x^{2} - d x^{3} - {\left(a b + {\left(a + b\right)} c\right)} d x\right)}}\right)}{d}\right]"," ",0,"[1/2*log((b^2*c^2 - 6*a*b*c*d + a^2*d^2 - 2*(b + c - 3*d)*x^3 + x^4 + (b^2 + 4*b*c + c^2 - 6*(a + b + c)*d + d^2)*x^2 - 4*sqrt(-a*b*c - (a + b + c)*x^2 + x^3 + (a*b + (a + b)*c)*x)*(b*c - a*d - (b + c - d)*x + x^2)*sqrt(d) - 2*(b^2*c + b*c^2 + a*d^2 - 3*(a*b + (a + b)*c)*d)*x)/(b^2*c^2 + 2*a*b*c*d + a^2*d^2 - 2*(b + c + d)*x^3 + x^4 + (b^2 + 4*b*c + c^2 + 2*(a + b + c)*d + d^2)*x^2 - 2*(b^2*c + b*c^2 + a*d^2 + (a*b + (a + b)*c)*d)*x))/sqrt(d), sqrt(-d)*arctan(-1/2*sqrt(-a*b*c - (a + b + c)*x^2 + x^3 + (a*b + (a + b)*c)*x)*(b*c - a*d - (b + c - d)*x + x^2)*sqrt(-d)/(a*b*c*d + (a + b + c)*d*x^2 - d*x^3 - (a*b + (a + b)*c)*d*x))/d]","B",0
776,1,379,0,29.888796," ","integrate((a*b+a*c-2*a*x-b*c+x^2)/((-a+x)*(-b+x)*(-c+x))^(1/2)/(a+b*c*d-(b*d+c*d+1)*x+d*x^2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{b^{2} c^{2} d^{2} + d^{2} x^{4} - 6 \, a b c d - 2 \, {\left({\left(b + c\right)} d^{2} - 3 \, d\right)} x^{3} + {\left({\left(b^{2} + 4 \, b c + c^{2}\right)} d^{2} - 6 \, {\left(a + b + c\right)} d + 1\right)} x^{2} + a^{2} - 4 \, \sqrt{-a b c - {\left(a + b + c\right)} x^{2} + x^{3} + {\left(a b + {\left(a + b\right)} c\right)} x} {\left(b c d + d x^{2} - {\left({\left(b + c\right)} d - 1\right)} x - a\right)} \sqrt{d} - 2 \, {\left({\left(b^{2} c + b c^{2}\right)} d^{2} - 3 \, {\left(a b + {\left(a + b\right)} c\right)} d + a\right)} x}{b^{2} c^{2} d^{2} + d^{2} x^{4} + 2 \, a b c d - 2 \, {\left({\left(b + c\right)} d^{2} + d\right)} x^{3} + {\left({\left(b^{2} + 4 \, b c + c^{2}\right)} d^{2} + 2 \, {\left(a + b + c\right)} d + 1\right)} x^{2} + a^{2} - 2 \, {\left({\left(b^{2} c + b c^{2}\right)} d^{2} + {\left(a b + {\left(a + b\right)} c\right)} d + a\right)} x}\right)}{2 \, \sqrt{d}}, \frac{\sqrt{-d} \arctan\left(-\frac{\sqrt{-a b c - {\left(a + b + c\right)} x^{2} + x^{3} + {\left(a b + {\left(a + b\right)} c\right)} x} {\left(b c d + d x^{2} - {\left({\left(b + c\right)} d - 1\right)} x - a\right)} \sqrt{-d}}{2 \, {\left(a b c d + {\left(a + b + c\right)} d x^{2} - d x^{3} - {\left(a b + {\left(a + b\right)} c\right)} d x\right)}}\right)}{d}\right]"," ",0,"[1/2*log((b^2*c^2*d^2 + d^2*x^4 - 6*a*b*c*d - 2*((b + c)*d^2 - 3*d)*x^3 + ((b^2 + 4*b*c + c^2)*d^2 - 6*(a + b + c)*d + 1)*x^2 + a^2 - 4*sqrt(-a*b*c - (a + b + c)*x^2 + x^3 + (a*b + (a + b)*c)*x)*(b*c*d + d*x^2 - ((b + c)*d - 1)*x - a)*sqrt(d) - 2*((b^2*c + b*c^2)*d^2 - 3*(a*b + (a + b)*c)*d + a)*x)/(b^2*c^2*d^2 + d^2*x^4 + 2*a*b*c*d - 2*((b + c)*d^2 + d)*x^3 + ((b^2 + 4*b*c + c^2)*d^2 + 2*(a + b + c)*d + 1)*x^2 + a^2 - 2*((b^2*c + b*c^2)*d^2 + (a*b + (a + b)*c)*d + a)*x))/sqrt(d), sqrt(-d)*arctan(-1/2*sqrt(-a*b*c - (a + b + c)*x^2 + x^3 + (a*b + (a + b)*c)*x)*(b*c*d + d*x^2 - ((b + c)*d - 1)*x - a)*sqrt(-d)/(a*b*c*d + (a + b + c)*d*x^2 - d*x^3 - (a*b + (a + b)*c)*d*x))/d]","B",0
777,1,92,0,0.496129," ","integrate((k^2*x^2-1)/((1-x)*x*(-k^2*x+1))^(1/2)/(k^2*x^2+1),x, algorithm=""fricas"")","\frac{\arctan\left(\frac{\sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 2 \, {\left(k^{2} + 1\right)} x + 1\right)} \sqrt{k^{2} + 1}}{2 \, {\left({\left(k^{4} + k^{2}\right)} x^{3} - {\left(k^{4} + 2 \, k^{2} + 1\right)} x^{2} + {\left(k^{2} + 1\right)} x\right)}}\right)}{\sqrt{k^{2} + 1}}"," ",0,"arctan(1/2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 2*(k^2 + 1)*x + 1)*sqrt(k^2 + 1)/((k^4 + k^2)*x^3 - (k^4 + 2*k^2 + 1)*x^2 + (k^2 + 1)*x))/sqrt(k^2 + 1)","A",0
778,1,638,0,48.153081," ","integrate((a*(a*b+a*c-3*b*c)+(-2*a^2+a*b+a*c+3*b*c)*x+(a-2*b-2*c)*x^2+x^3)/((-a+x)*(-b+x)*(-c+x))^(1/2)/(-a^3-b*c*d+(3*a^2+b*d+c*d)*x-(3*a+d)*x^2+x^3),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{a^{6} - 6 \, a^{3} b c d + b^{2} c^{2} d^{2} - 6 \, {\left(a - d\right)} x^{5} + x^{6} + {\left(15 \, a^{2} - 6 \, {\left(3 \, a + b + c\right)} d + d^{2}\right)} x^{4} - 2 \, {\left(10 \, a^{3} + {\left(b + c\right)} d^{2} - 3 \, {\left(3 \, a^{2} + 3 \, a b + {\left(3 \, a + b\right)} c\right)} d\right)} x^{3} + {\left(15 \, a^{4} + {\left(b^{2} + 4 \, b c + c^{2}\right)} d^{2} - 6 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, {\left(a^{2} + a b\right)} c\right)} d\right)} x^{2} - 4 \, {\left(a^{4} - a b c d - {\left(4 \, a - d\right)} x^{3} + x^{4} + {\left(6 \, a^{2} - {\left(a + b + c\right)} d\right)} x^{2} - {\left(4 \, a^{3} - {\left(a b + {\left(a + b\right)} c\right)} d\right)} x\right)} \sqrt{-a b c - {\left(a + b + c\right)} x^{2} + x^{3} + {\left(a b + {\left(a + b\right)} c\right)} x} \sqrt{d} - 2 \, {\left(3 \, a^{5} + {\left(b^{2} c + b c^{2}\right)} d^{2} - 3 \, {\left(a^{3} b + {\left(a^{3} + 3 \, a^{2} b\right)} c\right)} d\right)} x}{a^{6} + 2 \, a^{3} b c d + b^{2} c^{2} d^{2} - 2 \, {\left(3 \, a + d\right)} x^{5} + x^{6} + {\left(15 \, a^{2} + 2 \, {\left(3 \, a + b + c\right)} d + d^{2}\right)} x^{4} - 2 \, {\left(10 \, a^{3} + {\left(b + c\right)} d^{2} + {\left(3 \, a^{2} + 3 \, a b + {\left(3 \, a + b\right)} c\right)} d\right)} x^{3} + {\left(15 \, a^{4} + {\left(b^{2} + 4 \, b c + c^{2}\right)} d^{2} + 2 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, {\left(a^{2} + a b\right)} c\right)} d\right)} x^{2} - 2 \, {\left(3 \, a^{5} + {\left(b^{2} c + b c^{2}\right)} d^{2} + {\left(a^{3} b + {\left(a^{3} + 3 \, a^{2} b\right)} c\right)} d\right)} x}\right)}{2 \, \sqrt{d}}, \frac{\sqrt{-d} \arctan\left(-\frac{{\left(a^{3} - b c d + {\left(3 \, a - d\right)} x^{2} - x^{3} - {\left(3 \, a^{2} - {\left(b + c\right)} d\right)} x\right)} \sqrt{-a b c - {\left(a + b + c\right)} x^{2} + x^{3} + {\left(a b + {\left(a + b\right)} c\right)} x} \sqrt{-d}}{2 \, {\left(a^{2} b c d - {\left(2 \, a + b + c\right)} d x^{3} + d x^{4} + {\left(a^{2} + 2 \, a b + {\left(2 \, a + b\right)} c\right)} d x^{2} - {\left(a^{2} b + {\left(a^{2} + 2 \, a b\right)} c\right)} d x\right)}}\right)}{d}\right]"," ",0,"[1/2*log((a^6 - 6*a^3*b*c*d + b^2*c^2*d^2 - 6*(a - d)*x^5 + x^6 + (15*a^2 - 6*(3*a + b + c)*d + d^2)*x^4 - 2*(10*a^3 + (b + c)*d^2 - 3*(3*a^2 + 3*a*b + (3*a + b)*c)*d)*x^3 + (15*a^4 + (b^2 + 4*b*c + c^2)*d^2 - 6*(a^3 + 3*a^2*b + 3*(a^2 + a*b)*c)*d)*x^2 - 4*(a^4 - a*b*c*d - (4*a - d)*x^3 + x^4 + (6*a^2 - (a + b + c)*d)*x^2 - (4*a^3 - (a*b + (a + b)*c)*d)*x)*sqrt(-a*b*c - (a + b + c)*x^2 + x^3 + (a*b + (a + b)*c)*x)*sqrt(d) - 2*(3*a^5 + (b^2*c + b*c^2)*d^2 - 3*(a^3*b + (a^3 + 3*a^2*b)*c)*d)*x)/(a^6 + 2*a^3*b*c*d + b^2*c^2*d^2 - 2*(3*a + d)*x^5 + x^6 + (15*a^2 + 2*(3*a + b + c)*d + d^2)*x^4 - 2*(10*a^3 + (b + c)*d^2 + (3*a^2 + 3*a*b + (3*a + b)*c)*d)*x^3 + (15*a^4 + (b^2 + 4*b*c + c^2)*d^2 + 2*(a^3 + 3*a^2*b + 3*(a^2 + a*b)*c)*d)*x^2 - 2*(3*a^5 + (b^2*c + b*c^2)*d^2 + (a^3*b + (a^3 + 3*a^2*b)*c)*d)*x))/sqrt(d), sqrt(-d)*arctan(-1/2*(a^3 - b*c*d + (3*a - d)*x^2 - x^3 - (3*a^2 - (b + c)*d)*x)*sqrt(-a*b*c - (a + b + c)*x^2 + x^3 + (a*b + (a + b)*c)*x)*sqrt(-d)/(a^2*b*c*d - (2*a + b + c)*d*x^3 + d*x^4 + (a^2 + 2*a*b + (2*a + b)*c)*d*x^2 - (a^2*b + (a^2 + 2*a*b)*c)*d*x))/d]","B",0
779,1,244,0,0.513406," ","integrate((a*x^3-2*c)*(a*x^3+b*x^2+c)^(1/2)/(a*x^3+c)^2,x, algorithm=""fricas"")","\left[-\frac{4 \, \sqrt{a x^{3} + b x^{2} + c} b x - {\left(a x^{3} + c\right)} \sqrt{b} \log\left(\frac{a^{2} x^{6} + 8 \, a b x^{5} + 8 \, b^{2} x^{4} + 2 \, a c x^{3} + 8 \, b c x^{2} - 4 \, {\left(a x^{4} + 2 \, b x^{3} + c x\right)} \sqrt{a x^{3} + b x^{2} + c} \sqrt{b} + c^{2}}{a^{2} x^{6} + 2 \, a c x^{3} + c^{2}}\right)}{4 \, {\left(a b x^{3} + b c\right)}}, -\frac{2 \, \sqrt{a x^{3} + b x^{2} + c} b x - {\left(a x^{3} + c\right)} \sqrt{-b} \arctan\left(\frac{{\left(a x^{3} + 2 \, b x^{2} + c\right)} \sqrt{a x^{3} + b x^{2} + c} \sqrt{-b}}{2 \, {\left(a b x^{4} + b^{2} x^{3} + b c x\right)}}\right)}{2 \, {\left(a b x^{3} + b c\right)}}\right]"," ",0,"[-1/4*(4*sqrt(a*x^3 + b*x^2 + c)*b*x - (a*x^3 + c)*sqrt(b)*log((a^2*x^6 + 8*a*b*x^5 + 8*b^2*x^4 + 2*a*c*x^3 + 8*b*c*x^2 - 4*(a*x^4 + 2*b*x^3 + c*x)*sqrt(a*x^3 + b*x^2 + c)*sqrt(b) + c^2)/(a^2*x^6 + 2*a*c*x^3 + c^2)))/(a*b*x^3 + b*c), -1/2*(2*sqrt(a*x^3 + b*x^2 + c)*b*x - (a*x^3 + c)*sqrt(-b)*arctan(1/2*(a*x^3 + 2*b*x^2 + c)*sqrt(a*x^3 + b*x^2 + c)*sqrt(-b)/(a*b*x^4 + b^2*x^3 + b*c*x)))/(a*b*x^3 + b*c)]","A",0
780,1,219,0,0.504367," ","integrate((a^2*x^2-b)/(a^2*x^2+2*a*b*x+b)/(a^2*x^3+b*x)^(1/2),x, algorithm=""fricas"")","\left[\frac{1}{4} \, \sqrt{2} \sqrt{-\frac{1}{a b}} \log\left(\frac{a^{4} x^{4} - 12 \, a^{3} b x^{3} - 12 \, a b^{2} x + 2 \, {\left(2 \, a^{2} b^{2} + a^{2} b\right)} x^{2} + 4 \, \sqrt{2} {\left(a^{3} b x^{2} - 2 \, a^{2} b^{2} x + a b^{2}\right)} \sqrt{a^{2} x^{3} + b x} \sqrt{-\frac{1}{a b}} + b^{2}}{a^{4} x^{4} + 4 \, a^{3} b x^{3} + 4 \, a b^{2} x + 2 \, {\left(2 \, a^{2} b^{2} + a^{2} b\right)} x^{2} + b^{2}}\right), \frac{1}{2} \, \sqrt{2} \sqrt{\frac{1}{a b}} \arctan\left(\frac{\sqrt{2} {\left(a^{2} x^{2} - 2 \, a b x + b\right)} \sqrt{\frac{1}{a b}}}{4 \, \sqrt{a^{2} x^{3} + b x}}\right)\right]"," ",0,"[1/4*sqrt(2)*sqrt(-1/(a*b))*log((a^4*x^4 - 12*a^3*b*x^3 - 12*a*b^2*x + 2*(2*a^2*b^2 + a^2*b)*x^2 + 4*sqrt(2)*(a^3*b*x^2 - 2*a^2*b^2*x + a*b^2)*sqrt(a^2*x^3 + b*x)*sqrt(-1/(a*b)) + b^2)/(a^4*x^4 + 4*a^3*b*x^3 + 4*a*b^2*x + 2*(2*a^2*b^2 + a^2*b)*x^2 + b^2)), 1/2*sqrt(2)*sqrt(1/(a*b))*arctan(1/4*sqrt(2)*(a^2*x^2 - 2*a*b*x + b)*sqrt(1/(a*b))/sqrt(a^2*x^3 + b*x))]","A",0
781,1,651,0,89.103449," ","integrate((a*(a*b+a*c-3*b*c)+(-2*a^2+a*b+a*c+3*b*c)*x+(a-2*b-2*c)*x^2+x^3)/((-a+x)*(-b+x)*(-c+x))^(1/2)/(-b*c-a^3*d+(3*a^2*d+b+c)*x-(3*a*d+1)*x^2+d*x^3),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{a^{6} d^{2} + d^{2} x^{6} - 6 \, a^{3} b c d - 6 \, {\left(a d^{2} - d\right)} x^{5} + {\left(15 \, a^{2} d^{2} - 6 \, {\left(3 \, a + b + c\right)} d + 1\right)} x^{4} + b^{2} c^{2} - 2 \, {\left(10 \, a^{3} d^{2} - 3 \, {\left(3 \, a^{2} + 3 \, a b + {\left(3 \, a + b\right)} c\right)} d + b + c\right)} x^{3} + {\left(15 \, a^{4} d^{2} + b^{2} + 4 \, b c + c^{2} - 6 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, {\left(a^{2} + a b\right)} c\right)} d\right)} x^{2} - 4 \, {\left(a^{4} d + d x^{4} - {\left(4 \, a d - 1\right)} x^{3} - a b c + {\left(6 \, a^{2} d - a - b - c\right)} x^{2} - {\left(4 \, a^{3} d - a b - {\left(a + b\right)} c\right)} x\right)} \sqrt{-a b c - {\left(a + b + c\right)} x^{2} + x^{3} + {\left(a b + {\left(a + b\right)} c\right)} x} \sqrt{d} - 2 \, {\left(3 \, a^{5} d^{2} + b^{2} c + b c^{2} - 3 \, {\left(a^{3} b + {\left(a^{3} + 3 \, a^{2} b\right)} c\right)} d\right)} x}{a^{6} d^{2} + d^{2} x^{6} + 2 \, a^{3} b c d - 2 \, {\left(3 \, a d^{2} + d\right)} x^{5} + {\left(15 \, a^{2} d^{2} + 2 \, {\left(3 \, a + b + c\right)} d + 1\right)} x^{4} + b^{2} c^{2} - 2 \, {\left(10 \, a^{3} d^{2} + {\left(3 \, a^{2} + 3 \, a b + {\left(3 \, a + b\right)} c\right)} d + b + c\right)} x^{3} + {\left(15 \, a^{4} d^{2} + b^{2} + 4 \, b c + c^{2} + 2 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, {\left(a^{2} + a b\right)} c\right)} d\right)} x^{2} - 2 \, {\left(3 \, a^{5} d^{2} + b^{2} c + b c^{2} + {\left(a^{3} b + {\left(a^{3} + 3 \, a^{2} b\right)} c\right)} d\right)} x}\right)}{2 \, \sqrt{d}}, \frac{\sqrt{-d} \arctan\left(-\frac{{\left(a^{3} d - d x^{3} + {\left(3 \, a d - 1\right)} x^{2} - b c - {\left(3 \, a^{2} d - b - c\right)} x\right)} \sqrt{-a b c - {\left(a + b + c\right)} x^{2} + x^{3} + {\left(a b + {\left(a + b\right)} c\right)} x} \sqrt{-d}}{2 \, {\left(a^{2} b c d - {\left(2 \, a + b + c\right)} d x^{3} + d x^{4} + {\left(a^{2} + 2 \, a b + {\left(2 \, a + b\right)} c\right)} d x^{2} - {\left(a^{2} b + {\left(a^{2} + 2 \, a b\right)} c\right)} d x\right)}}\right)}{d}\right]"," ",0,"[1/2*log((a^6*d^2 + d^2*x^6 - 6*a^3*b*c*d - 6*(a*d^2 - d)*x^5 + (15*a^2*d^2 - 6*(3*a + b + c)*d + 1)*x^4 + b^2*c^2 - 2*(10*a^3*d^2 - 3*(3*a^2 + 3*a*b + (3*a + b)*c)*d + b + c)*x^3 + (15*a^4*d^2 + b^2 + 4*b*c + c^2 - 6*(a^3 + 3*a^2*b + 3*(a^2 + a*b)*c)*d)*x^2 - 4*(a^4*d + d*x^4 - (4*a*d - 1)*x^3 - a*b*c + (6*a^2*d - a - b - c)*x^2 - (4*a^3*d - a*b - (a + b)*c)*x)*sqrt(-a*b*c - (a + b + c)*x^2 + x^3 + (a*b + (a + b)*c)*x)*sqrt(d) - 2*(3*a^5*d^2 + b^2*c + b*c^2 - 3*(a^3*b + (a^3 + 3*a^2*b)*c)*d)*x)/(a^6*d^2 + d^2*x^6 + 2*a^3*b*c*d - 2*(3*a*d^2 + d)*x^5 + (15*a^2*d^2 + 2*(3*a + b + c)*d + 1)*x^4 + b^2*c^2 - 2*(10*a^3*d^2 + (3*a^2 + 3*a*b + (3*a + b)*c)*d + b + c)*x^3 + (15*a^4*d^2 + b^2 + 4*b*c + c^2 + 2*(a^3 + 3*a^2*b + 3*(a^2 + a*b)*c)*d)*x^2 - 2*(3*a^5*d^2 + b^2*c + b*c^2 + (a^3*b + (a^3 + 3*a^2*b)*c)*d)*x))/sqrt(d), sqrt(-d)*arctan(-1/2*(a^3*d - d*x^3 + (3*a*d - 1)*x^2 - b*c - (3*a^2*d - b - c)*x)*sqrt(-a*b*c - (a + b + c)*x^2 + x^3 + (a*b + (a + b)*c)*x)*sqrt(-d)/(a^2*b*c*d - (2*a + b + c)*d*x^3 + d*x^4 + (a^2 + 2*a*b + (2*a + b)*c)*d*x^2 - (a^2*b + (a^2 + 2*a*b)*c)*d*x))/d]","B",0
782,1,85,0,0.450899," ","integrate((x^2-1)*(x^4+1)^(1/2)/x^5,x, algorithm=""fricas"")","\frac{x^{4} \log\left(-x^{2} + \sqrt{x^{4} + 1} + 1\right) - 2 \, x^{4} \log\left(-x^{2} + \sqrt{x^{4} + 1}\right) - x^{4} \log\left(-x^{2} + \sqrt{x^{4} + 1} - 1\right) - 2 \, x^{4} - \sqrt{x^{4} + 1} {\left(2 \, x^{2} - 1\right)}}{4 \, x^{4}}"," ",0,"1/4*(x^4*log(-x^2 + sqrt(x^4 + 1) + 1) - 2*x^4*log(-x^2 + sqrt(x^4 + 1)) - x^4*log(-x^2 + sqrt(x^4 + 1) - 1) - 2*x^4 - sqrt(x^4 + 1)*(2*x^2 - 1))/x^4","A",0
783,1,73,0,0.435875," ","integrate((x^2-1)*(x^4+1)^(1/2)/x^3,x, algorithm=""fricas"")","\frac{x^{2} \log\left(2 \, x^{4} + x^{2} - \sqrt{x^{4} + 1} {\left(2 \, x^{2} + 1\right)} + 1\right) - x^{2} \log\left(-x^{2} + \sqrt{x^{4} + 1} + 1\right) + x^{2} + \sqrt{x^{4} + 1} {\left(x^{2} + 1\right)}}{2 \, x^{2}}"," ",0,"1/2*(x^2*log(2*x^4 + x^2 - sqrt(x^4 + 1)*(2*x^2 + 1) + 1) - x^2*log(-x^2 + sqrt(x^4 + 1) + 1) + x^2 + sqrt(x^4 + 1)*(x^2 + 1))/x^2","A",0
784,1,65,0,0.455399," ","integrate((2*x^3+1)*(x^6-1)^(1/2)/x^7,x, algorithm=""fricas"")","\frac{2 \, x^{6} \arctan\left(-x^{3} + \sqrt{x^{6} - 1}\right) - 4 \, x^{6} \log\left(-x^{3} + \sqrt{x^{6} - 1}\right) - 4 \, x^{6} - \sqrt{x^{6} - 1} {\left(4 \, x^{3} + 1\right)}}{6 \, x^{6}}"," ",0,"1/6*(2*x^6*arctan(-x^3 + sqrt(x^6 - 1)) - 4*x^6*log(-x^3 + sqrt(x^6 - 1)) - 4*x^6 - sqrt(x^6 - 1)*(4*x^3 + 1))/x^6","A",0
785,1,62,0,0.467091," ","integrate((2*x^3+1)*(x^6-1)^(1/2)/x^4,x, algorithm=""fricas"")","-\frac{4 \, x^{3} \arctan\left(-x^{3} + \sqrt{x^{6} - 1}\right) + x^{3} \log\left(-x^{3} + \sqrt{x^{6} - 1}\right) + x^{3} - \sqrt{x^{6} - 1} {\left(2 \, x^{3} - 1\right)}}{3 \, x^{3}}"," ",0,"-1/3*(4*x^3*arctan(-x^3 + sqrt(x^6 - 1)) + x^3*log(-x^3 + sqrt(x^6 - 1)) + x^3 - sqrt(x^6 - 1)*(2*x^3 - 1))/x^3","A",0
786,1,11793,0,2.279830," ","integrate((a^6*x^6+b^6)/(a^2*x^3-b^2*x)^(1/2)/(a^6*x^6-b^6+c*x^3),x, algorithm=""fricas"")","-\frac{1}{12} \, \sqrt{\frac{2}{3}} \sqrt{\frac{1}{6}} \sqrt{-\frac{54 \, a^{2} b^{2} - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c + 3 \, \sqrt{\frac{1}{3}} c \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}}{c}} \log\left(\frac{648 \, a^{6} x^{6} - 1944 \, a^{4} b^{2} x^{4} + 1944 \, a^{2} b^{4} x^{2} - 648 \, b^{6} - 648 \, c x^{3} + 2 \, {\left(a^{4} c x^{5} - 2 \, a^{2} b^{2} c x^{3} + b^{4} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} + \sqrt{\frac{2}{3}} \sqrt{\frac{1}{6}} {\left({\left(a^{4} c x^{4} - 2 \, a^{2} b^{2} c x^{2} + b^{4} c\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} \sqrt{a^{2} x^{3} - b^{2} x} - 18 \, {\left(3 \, a^{6} b^{2} x^{4} - 6 \, a^{4} b^{4} x^{2} + 3 \, a^{2} b^{6} + a^{2} c x^{3} - b^{2} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 3 \, \sqrt{\frac{1}{3}} {\left({\left(a^{4} c x^{4} - 2 \, a^{2} b^{2} c x^{2} + b^{4} c\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 18 \, {\left(a^{2} c x^{3} - b^{2} c x\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}} - 324 \, {\left(3 \, a^{4} b^{2} x^{3} - 3 \, a^{2} b^{4} x + 2 \, c x^{2}\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{-\frac{54 \, a^{2} b^{2} - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c + 3 \, \sqrt{\frac{1}{3}} c \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}}{c}} - 36 \, {\left(3 \, a^{6} b^{2} x^{5} - 6 \, a^{4} b^{4} x^{3} + 3 \, a^{2} b^{6} x + a^{2} c x^{4} - b^{2} c x^{2}\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} + 6 \, \sqrt{\frac{1}{3}} {\left(18 \, a^{2} c x^{4} - 18 \, b^{2} c x^{2} + {\left(a^{4} c x^{5} - 2 \, a^{2} b^{2} c x^{3} + b^{4} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}\right)} \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}}{324 \, {\left(a^{6} x^{6} - b^{6} + c x^{3}\right)}}\right) + \frac{1}{12} \, \sqrt{\frac{2}{3}} \sqrt{\frac{1}{6}} \sqrt{-\frac{54 \, a^{2} b^{2} - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c + 3 \, \sqrt{\frac{1}{3}} c \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}}{c}} \log\left(\frac{648 \, a^{6} x^{6} - 1944 \, a^{4} b^{2} x^{4} + 1944 \, a^{2} b^{4} x^{2} - 648 \, b^{6} - 648 \, c x^{3} + 2 \, {\left(a^{4} c x^{5} - 2 \, a^{2} b^{2} c x^{3} + b^{4} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} - \sqrt{\frac{2}{3}} \sqrt{\frac{1}{6}} {\left({\left(a^{4} c x^{4} - 2 \, a^{2} b^{2} c x^{2} + b^{4} c\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} \sqrt{a^{2} x^{3} - b^{2} x} - 18 \, {\left(3 \, a^{6} b^{2} x^{4} - 6 \, a^{4} b^{4} x^{2} + 3 \, a^{2} b^{6} + a^{2} c x^{3} - b^{2} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 3 \, \sqrt{\frac{1}{3}} {\left({\left(a^{4} c x^{4} - 2 \, a^{2} b^{2} c x^{2} + b^{4} c\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 18 \, {\left(a^{2} c x^{3} - b^{2} c x\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}} - 324 \, {\left(3 \, a^{4} b^{2} x^{3} - 3 \, a^{2} b^{4} x + 2 \, c x^{2}\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{-\frac{54 \, a^{2} b^{2} - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c + 3 \, \sqrt{\frac{1}{3}} c \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}}{c}} - 36 \, {\left(3 \, a^{6} b^{2} x^{5} - 6 \, a^{4} b^{4} x^{3} + 3 \, a^{2} b^{6} x + a^{2} c x^{4} - b^{2} c x^{2}\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} + 6 \, \sqrt{\frac{1}{3}} {\left(18 \, a^{2} c x^{4} - 18 \, b^{2} c x^{2} + {\left(a^{4} c x^{5} - 2 \, a^{2} b^{2} c x^{3} + b^{4} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}\right)} \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}}{324 \, {\left(a^{6} x^{6} - b^{6} + c x^{3}\right)}}\right) - \frac{1}{12} \, \sqrt{\frac{2}{3}} \sqrt{\frac{1}{6}} \sqrt{-\frac{54 \, a^{2} b^{2} - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c - 3 \, \sqrt{\frac{1}{3}} c \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}}{c}} \log\left(\frac{648 \, a^{6} x^{6} - 1944 \, a^{4} b^{2} x^{4} + 1944 \, a^{2} b^{4} x^{2} - 648 \, b^{6} - 648 \, c x^{3} + 2 \, {\left(a^{4} c x^{5} - 2 \, a^{2} b^{2} c x^{3} + b^{4} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} + \sqrt{\frac{2}{3}} \sqrt{\frac{1}{6}} {\left({\left(a^{4} c x^{4} - 2 \, a^{2} b^{2} c x^{2} + b^{4} c\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} \sqrt{a^{2} x^{3} - b^{2} x} - 18 \, {\left(3 \, a^{6} b^{2} x^{4} - 6 \, a^{4} b^{4} x^{2} + 3 \, a^{2} b^{6} + a^{2} c x^{3} - b^{2} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} \sqrt{a^{2} x^{3} - b^{2} x} - 3 \, \sqrt{\frac{1}{3}} {\left({\left(a^{4} c x^{4} - 2 \, a^{2} b^{2} c x^{2} + b^{4} c\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 18 \, {\left(a^{2} c x^{3} - b^{2} c x\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}} - 324 \, {\left(3 \, a^{4} b^{2} x^{3} - 3 \, a^{2} b^{4} x + 2 \, c x^{2}\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{-\frac{54 \, a^{2} b^{2} - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c - 3 \, \sqrt{\frac{1}{3}} c \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}}{c}} - 36 \, {\left(3 \, a^{6} b^{2} x^{5} - 6 \, a^{4} b^{4} x^{3} + 3 \, a^{2} b^{6} x + a^{2} c x^{4} - b^{2} c x^{2}\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} - 6 \, \sqrt{\frac{1}{3}} {\left(18 \, a^{2} c x^{4} - 18 \, b^{2} c x^{2} + {\left(a^{4} c x^{5} - 2 \, a^{2} b^{2} c x^{3} + b^{4} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}\right)} \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}}{324 \, {\left(a^{6} x^{6} - b^{6} + c x^{3}\right)}}\right) + \frac{1}{12} \, \sqrt{\frac{2}{3}} \sqrt{\frac{1}{6}} \sqrt{-\frac{54 \, a^{2} b^{2} - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c - 3 \, \sqrt{\frac{1}{3}} c \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}}{c}} \log\left(\frac{648 \, a^{6} x^{6} - 1944 \, a^{4} b^{2} x^{4} + 1944 \, a^{2} b^{4} x^{2} - 648 \, b^{6} - 648 \, c x^{3} + 2 \, {\left(a^{4} c x^{5} - 2 \, a^{2} b^{2} c x^{3} + b^{4} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} - \sqrt{\frac{2}{3}} \sqrt{\frac{1}{6}} {\left({\left(a^{4} c x^{4} - 2 \, a^{2} b^{2} c x^{2} + b^{4} c\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} \sqrt{a^{2} x^{3} - b^{2} x} - 18 \, {\left(3 \, a^{6} b^{2} x^{4} - 6 \, a^{4} b^{4} x^{2} + 3 \, a^{2} b^{6} + a^{2} c x^{3} - b^{2} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} \sqrt{a^{2} x^{3} - b^{2} x} - 3 \, \sqrt{\frac{1}{3}} {\left({\left(a^{4} c x^{4} - 2 \, a^{2} b^{2} c x^{2} + b^{4} c\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 18 \, {\left(a^{2} c x^{3} - b^{2} c x\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}} - 324 \, {\left(3 \, a^{4} b^{2} x^{3} - 3 \, a^{2} b^{4} x + 2 \, c x^{2}\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{-\frac{54 \, a^{2} b^{2} - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c - 3 \, \sqrt{\frac{1}{3}} c \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}}{c}} - 36 \, {\left(3 \, a^{6} b^{2} x^{5} - 6 \, a^{4} b^{4} x^{3} + 3 \, a^{2} b^{6} x + a^{2} c x^{4} - b^{2} c x^{2}\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} - 6 \, \sqrt{\frac{1}{3}} {\left(18 \, a^{2} c x^{4} - 18 \, b^{2} c x^{2} + {\left(a^{4} c x^{5} - 2 \, a^{2} b^{2} c x^{3} + b^{4} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}\right)} \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}}{324 \, {\left(a^{6} x^{6} - b^{6} + c x^{3}\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{162 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} - \frac{a^{2} b^{2}}{9 \, c} - \frac{1}{2} \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}} \log\left(\frac{162 \, a^{6} x^{6} - 972 \, a^{4} b^{2} x^{4} + 972 \, a^{2} b^{4} x^{2} - 162 \, b^{6} - 162 \, c x^{3} - {\left(a^{4} c x^{5} - 2 \, a^{2} b^{2} c x^{3} + b^{4} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} + 18 \, {\left(3 \, a^{6} b^{2} x^{5} - 6 \, a^{4} b^{4} x^{3} + 3 \, a^{2} b^{6} x + a^{2} c x^{4} - b^{2} c x^{2}\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} + 3 \, \sqrt{-\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{162 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} - \frac{a^{2} b^{2}}{9 \, c} - \frac{1}{2} \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}} {\left({\left(a^{4} c x^{4} - 2 \, a^{2} b^{2} c x^{2} + b^{4} c\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} \sqrt{a^{2} x^{3} - b^{2} x} - 18 \, {\left(3 \, a^{6} b^{2} x^{4} - 6 \, a^{4} b^{4} x^{2} + 3 \, a^{2} b^{6} + a^{2} c x^{3} - b^{2} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 324 \, {\left(3 \, a^{4} b^{2} x^{3} - 3 \, a^{2} b^{4} x + c x^{2}\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)}}{162 \, {\left(a^{6} x^{6} - b^{6} + c x^{3}\right)}}\right) - \frac{1}{2} \, \sqrt{-\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{162 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} - \frac{a^{2} b^{2}}{9 \, c} - \frac{1}{2} \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}} \log\left(\frac{162 \, a^{6} x^{6} - 972 \, a^{4} b^{2} x^{4} + 972 \, a^{2} b^{4} x^{2} - 162 \, b^{6} - 162 \, c x^{3} - {\left(a^{4} c x^{5} - 2 \, a^{2} b^{2} c x^{3} + b^{4} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} + 18 \, {\left(3 \, a^{6} b^{2} x^{5} - 6 \, a^{4} b^{4} x^{3} + 3 \, a^{2} b^{6} x + a^{2} c x^{4} - b^{2} c x^{2}\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} - 3 \, \sqrt{-\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{162 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} - \frac{a^{2} b^{2}}{9 \, c} - \frac{1}{2} \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}} {\left({\left(a^{4} c x^{4} - 2 \, a^{2} b^{2} c x^{2} + b^{4} c\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} \sqrt{a^{2} x^{3} - b^{2} x} - 18 \, {\left(3 \, a^{6} b^{2} x^{4} - 6 \, a^{4} b^{4} x^{2} + 3 \, a^{2} b^{6} + a^{2} c x^{3} - b^{2} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 324 \, {\left(3 \, a^{4} b^{2} x^{3} - 3 \, a^{2} b^{4} x + c x^{2}\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)}}{162 \, {\left(a^{6} x^{6} - b^{6} + c x^{3}\right)}}\right)"," ",0,"-1/12*sqrt(2/3)*sqrt(1/6)*sqrt(-(54*a^2*b^2 - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*c + 3*sqrt(1/3)*c*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))/c)*log(1/324*(648*a^6*x^6 - 1944*a^4*b^2*x^4 + 1944*a^2*b^4*x^2 - 648*b^6 - 648*c*x^3 + 2*(a^4*c*x^5 - 2*a^2*b^2*c*x^3 + b^4*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2 + sqrt(2/3)*sqrt(1/6)*((a^4*c*x^4 - 2*a^2*b^2*c*x^2 + b^4*c)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*sqrt(a^2*x^3 - b^2*x) - 18*(3*a^6*b^2*x^4 - 6*a^4*b^4*x^2 + 3*a^2*b^6 + a^2*c*x^3 - b^2*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*sqrt(a^2*x^3 - b^2*x) + 3*sqrt(1/3)*((a^4*c*x^4 - 2*a^2*b^2*c*x^2 + b^4*c)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*sqrt(a^2*x^3 - b^2*x) + 18*(a^2*c*x^3 - b^2*c*x)*sqrt(a^2*x^3 - b^2*x))*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2) - 324*(3*a^4*b^2*x^3 - 3*a^2*b^4*x + 2*c*x^2)*sqrt(a^2*x^3 - b^2*x))*sqrt(-(54*a^2*b^2 - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*c + 3*sqrt(1/3)*c*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))/c) - 36*(3*a^6*b^2*x^5 - 6*a^4*b^4*x^3 + 3*a^2*b^6*x + a^2*c*x^4 - b^2*c*x^2)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1)) + 6*sqrt(1/3)*(18*a^2*c*x^4 - 18*b^2*c*x^2 + (a^4*c*x^5 - 2*a^2*b^2*c*x^3 + b^4*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1)))*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))/(a^6*x^6 - b^6 + c*x^3)) + 1/12*sqrt(2/3)*sqrt(1/6)*sqrt(-(54*a^2*b^2 - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*c + 3*sqrt(1/3)*c*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))/c)*log(1/324*(648*a^6*x^6 - 1944*a^4*b^2*x^4 + 1944*a^2*b^4*x^2 - 648*b^6 - 648*c*x^3 + 2*(a^4*c*x^5 - 2*a^2*b^2*c*x^3 + b^4*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2 - sqrt(2/3)*sqrt(1/6)*((a^4*c*x^4 - 2*a^2*b^2*c*x^2 + b^4*c)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*sqrt(a^2*x^3 - b^2*x) - 18*(3*a^6*b^2*x^4 - 6*a^4*b^4*x^2 + 3*a^2*b^6 + a^2*c*x^3 - b^2*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*sqrt(a^2*x^3 - b^2*x) + 3*sqrt(1/3)*((a^4*c*x^4 - 2*a^2*b^2*c*x^2 + b^4*c)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*sqrt(a^2*x^3 - b^2*x) + 18*(a^2*c*x^3 - b^2*c*x)*sqrt(a^2*x^3 - b^2*x))*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2) - 324*(3*a^4*b^2*x^3 - 3*a^2*b^4*x + 2*c*x^2)*sqrt(a^2*x^3 - b^2*x))*sqrt(-(54*a^2*b^2 - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*c + 3*sqrt(1/3)*c*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))/c) - 36*(3*a^6*b^2*x^5 - 6*a^4*b^4*x^3 + 3*a^2*b^6*x + a^2*c*x^4 - b^2*c*x^2)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1)) + 6*sqrt(1/3)*(18*a^2*c*x^4 - 18*b^2*c*x^2 + (a^4*c*x^5 - 2*a^2*b^2*c*x^3 + b^4*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1)))*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))/(a^6*x^6 - b^6 + c*x^3)) - 1/12*sqrt(2/3)*sqrt(1/6)*sqrt(-(54*a^2*b^2 - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*c - 3*sqrt(1/3)*c*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))/c)*log(1/324*(648*a^6*x^6 - 1944*a^4*b^2*x^4 + 1944*a^2*b^4*x^2 - 648*b^6 - 648*c*x^3 + 2*(a^4*c*x^5 - 2*a^2*b^2*c*x^3 + b^4*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2 + sqrt(2/3)*sqrt(1/6)*((a^4*c*x^4 - 2*a^2*b^2*c*x^2 + b^4*c)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*sqrt(a^2*x^3 - b^2*x) - 18*(3*a^6*b^2*x^4 - 6*a^4*b^4*x^2 + 3*a^2*b^6 + a^2*c*x^3 - b^2*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*sqrt(a^2*x^3 - b^2*x) - 3*sqrt(1/3)*((a^4*c*x^4 - 2*a^2*b^2*c*x^2 + b^4*c)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*sqrt(a^2*x^3 - b^2*x) + 18*(a^2*c*x^3 - b^2*c*x)*sqrt(a^2*x^3 - b^2*x))*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2) - 324*(3*a^4*b^2*x^3 - 3*a^2*b^4*x + 2*c*x^2)*sqrt(a^2*x^3 - b^2*x))*sqrt(-(54*a^2*b^2 - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*c - 3*sqrt(1/3)*c*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))/c) - 36*(3*a^6*b^2*x^5 - 6*a^4*b^4*x^3 + 3*a^2*b^6*x + a^2*c*x^4 - b^2*c*x^2)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1)) - 6*sqrt(1/3)*(18*a^2*c*x^4 - 18*b^2*c*x^2 + (a^4*c*x^5 - 2*a^2*b^2*c*x^3 + b^4*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1)))*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))/(a^6*x^6 - b^6 + c*x^3)) + 1/12*sqrt(2/3)*sqrt(1/6)*sqrt(-(54*a^2*b^2 - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*c - 3*sqrt(1/3)*c*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))/c)*log(1/324*(648*a^6*x^6 - 1944*a^4*b^2*x^4 + 1944*a^2*b^4*x^2 - 648*b^6 - 648*c*x^3 + 2*(a^4*c*x^5 - 2*a^2*b^2*c*x^3 + b^4*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2 - sqrt(2/3)*sqrt(1/6)*((a^4*c*x^4 - 2*a^2*b^2*c*x^2 + b^4*c)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*sqrt(a^2*x^3 - b^2*x) - 18*(3*a^6*b^2*x^4 - 6*a^4*b^4*x^2 + 3*a^2*b^6 + a^2*c*x^3 - b^2*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*sqrt(a^2*x^3 - b^2*x) - 3*sqrt(1/3)*((a^4*c*x^4 - 2*a^2*b^2*c*x^2 + b^4*c)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*sqrt(a^2*x^3 - b^2*x) + 18*(a^2*c*x^3 - b^2*c*x)*sqrt(a^2*x^3 - b^2*x))*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2) - 324*(3*a^4*b^2*x^3 - 3*a^2*b^4*x + 2*c*x^2)*sqrt(a^2*x^3 - b^2*x))*sqrt(-(54*a^2*b^2 - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*c - 3*sqrt(1/3)*c*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))/c) - 36*(3*a^6*b^2*x^5 - 6*a^4*b^4*x^3 + 3*a^2*b^6*x + a^2*c*x^4 - b^2*c*x^2)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1)) - 6*sqrt(1/3)*(18*a^2*c*x^4 - 18*b^2*c*x^2 + (a^4*c*x^5 - 2*a^2*b^2*c*x^3 + b^4*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1)))*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))/(a^6*x^6 - b^6 + c*x^3)) + 1/2*sqrt(-1/162*a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) - 1/9*a^2*b^2/c - 1/2*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*log(1/162*(162*a^6*x^6 - 972*a^4*b^2*x^4 + 972*a^2*b^4*x^2 - 162*b^6 - 162*c*x^3 - (a^4*c*x^5 - 2*a^2*b^2*c*x^3 + b^4*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2 + 18*(3*a^6*b^2*x^5 - 6*a^4*b^4*x^3 + 3*a^2*b^6*x + a^2*c*x^4 - b^2*c*x^2)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1)) + 3*sqrt(-1/162*a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) - 1/9*a^2*b^2/c - 1/2*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*((a^4*c*x^4 - 2*a^2*b^2*c*x^2 + b^4*c)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*sqrt(a^2*x^3 - b^2*x) - 18*(3*a^6*b^2*x^4 - 6*a^4*b^4*x^2 + 3*a^2*b^6 + a^2*c*x^3 - b^2*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*sqrt(a^2*x^3 - b^2*x) + 324*(3*a^4*b^2*x^3 - 3*a^2*b^4*x + c*x^2)*sqrt(a^2*x^3 - b^2*x)))/(a^6*x^6 - b^6 + c*x^3)) - 1/2*sqrt(-1/162*a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) - 1/9*a^2*b^2/c - 1/2*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*log(1/162*(162*a^6*x^6 - 972*a^4*b^2*x^4 + 972*a^2*b^4*x^2 - 162*b^6 - 162*c*x^3 - (a^4*c*x^5 - 2*a^2*b^2*c*x^3 + b^4*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2 + 18*(3*a^6*b^2*x^5 - 6*a^4*b^4*x^3 + 3*a^2*b^6*x + a^2*c*x^4 - b^2*c*x^2)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1)) - 3*sqrt(-1/162*a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) - 1/9*a^2*b^2/c - 1/2*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*((a^4*c*x^4 - 2*a^2*b^2*c*x^2 + b^4*c)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*sqrt(a^2*x^3 - b^2*x) - 18*(3*a^6*b^2*x^4 - 6*a^4*b^4*x^2 + 3*a^2*b^6 + a^2*c*x^3 - b^2*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*sqrt(a^2*x^3 - b^2*x) + 324*(3*a^4*b^2*x^3 - 3*a^2*b^4*x + c*x^2)*sqrt(a^2*x^3 - b^2*x)))/(a^6*x^6 - b^6 + c*x^3))","B",0
787,1,11793,0,2.316258," ","integrate((a^6*x^6+b^6)/(a^2*x^3-b^2*x)^(1/2)/(a^6*x^6-b^6+c*x^3),x, algorithm=""fricas"")","-\frac{1}{12} \, \sqrt{\frac{2}{3}} \sqrt{\frac{1}{6}} \sqrt{-\frac{54 \, a^{2} b^{2} - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c + 3 \, \sqrt{\frac{1}{3}} c \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}}{c}} \log\left(\frac{648 \, a^{6} x^{6} - 1944 \, a^{4} b^{2} x^{4} + 1944 \, a^{2} b^{4} x^{2} - 648 \, b^{6} - 648 \, c x^{3} + 2 \, {\left(a^{4} c x^{5} - 2 \, a^{2} b^{2} c x^{3} + b^{4} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} + \sqrt{\frac{2}{3}} \sqrt{\frac{1}{6}} {\left({\left(a^{4} c x^{4} - 2 \, a^{2} b^{2} c x^{2} + b^{4} c\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} \sqrt{a^{2} x^{3} - b^{2} x} - 18 \, {\left(3 \, a^{6} b^{2} x^{4} - 6 \, a^{4} b^{4} x^{2} + 3 \, a^{2} b^{6} + a^{2} c x^{3} - b^{2} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 3 \, \sqrt{\frac{1}{3}} {\left({\left(a^{4} c x^{4} - 2 \, a^{2} b^{2} c x^{2} + b^{4} c\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 18 \, {\left(a^{2} c x^{3} - b^{2} c x\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}} - 324 \, {\left(3 \, a^{4} b^{2} x^{3} - 3 \, a^{2} b^{4} x + 2 \, c x^{2}\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{-\frac{54 \, a^{2} b^{2} - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c + 3 \, \sqrt{\frac{1}{3}} c \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}}{c}} - 36 \, {\left(3 \, a^{6} b^{2} x^{5} - 6 \, a^{4} b^{4} x^{3} + 3 \, a^{2} b^{6} x + a^{2} c x^{4} - b^{2} c x^{2}\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} + 6 \, \sqrt{\frac{1}{3}} {\left(18 \, a^{2} c x^{4} - 18 \, b^{2} c x^{2} + {\left(a^{4} c x^{5} - 2 \, a^{2} b^{2} c x^{3} + b^{4} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}\right)} \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}}{324 \, {\left(a^{6} x^{6} - b^{6} + c x^{3}\right)}}\right) + \frac{1}{12} \, \sqrt{\frac{2}{3}} \sqrt{\frac{1}{6}} \sqrt{-\frac{54 \, a^{2} b^{2} - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c + 3 \, \sqrt{\frac{1}{3}} c \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}}{c}} \log\left(\frac{648 \, a^{6} x^{6} - 1944 \, a^{4} b^{2} x^{4} + 1944 \, a^{2} b^{4} x^{2} - 648 \, b^{6} - 648 \, c x^{3} + 2 \, {\left(a^{4} c x^{5} - 2 \, a^{2} b^{2} c x^{3} + b^{4} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} - \sqrt{\frac{2}{3}} \sqrt{\frac{1}{6}} {\left({\left(a^{4} c x^{4} - 2 \, a^{2} b^{2} c x^{2} + b^{4} c\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} \sqrt{a^{2} x^{3} - b^{2} x} - 18 \, {\left(3 \, a^{6} b^{2} x^{4} - 6 \, a^{4} b^{4} x^{2} + 3 \, a^{2} b^{6} + a^{2} c x^{3} - b^{2} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 3 \, \sqrt{\frac{1}{3}} {\left({\left(a^{4} c x^{4} - 2 \, a^{2} b^{2} c x^{2} + b^{4} c\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 18 \, {\left(a^{2} c x^{3} - b^{2} c x\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}} - 324 \, {\left(3 \, a^{4} b^{2} x^{3} - 3 \, a^{2} b^{4} x + 2 \, c x^{2}\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{-\frac{54 \, a^{2} b^{2} - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c + 3 \, \sqrt{\frac{1}{3}} c \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}}{c}} - 36 \, {\left(3 \, a^{6} b^{2} x^{5} - 6 \, a^{4} b^{4} x^{3} + 3 \, a^{2} b^{6} x + a^{2} c x^{4} - b^{2} c x^{2}\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} + 6 \, \sqrt{\frac{1}{3}} {\left(18 \, a^{2} c x^{4} - 18 \, b^{2} c x^{2} + {\left(a^{4} c x^{5} - 2 \, a^{2} b^{2} c x^{3} + b^{4} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}\right)} \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}}{324 \, {\left(a^{6} x^{6} - b^{6} + c x^{3}\right)}}\right) - \frac{1}{12} \, \sqrt{\frac{2}{3}} \sqrt{\frac{1}{6}} \sqrt{-\frac{54 \, a^{2} b^{2} - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c - 3 \, \sqrt{\frac{1}{3}} c \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}}{c}} \log\left(\frac{648 \, a^{6} x^{6} - 1944 \, a^{4} b^{2} x^{4} + 1944 \, a^{2} b^{4} x^{2} - 648 \, b^{6} - 648 \, c x^{3} + 2 \, {\left(a^{4} c x^{5} - 2 \, a^{2} b^{2} c x^{3} + b^{4} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} + \sqrt{\frac{2}{3}} \sqrt{\frac{1}{6}} {\left({\left(a^{4} c x^{4} - 2 \, a^{2} b^{2} c x^{2} + b^{4} c\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} \sqrt{a^{2} x^{3} - b^{2} x} - 18 \, {\left(3 \, a^{6} b^{2} x^{4} - 6 \, a^{4} b^{4} x^{2} + 3 \, a^{2} b^{6} + a^{2} c x^{3} - b^{2} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} \sqrt{a^{2} x^{3} - b^{2} x} - 3 \, \sqrt{\frac{1}{3}} {\left({\left(a^{4} c x^{4} - 2 \, a^{2} b^{2} c x^{2} + b^{4} c\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 18 \, {\left(a^{2} c x^{3} - b^{2} c x\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}} - 324 \, {\left(3 \, a^{4} b^{2} x^{3} - 3 \, a^{2} b^{4} x + 2 \, c x^{2}\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{-\frac{54 \, a^{2} b^{2} - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c - 3 \, \sqrt{\frac{1}{3}} c \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}}{c}} - 36 \, {\left(3 \, a^{6} b^{2} x^{5} - 6 \, a^{4} b^{4} x^{3} + 3 \, a^{2} b^{6} x + a^{2} c x^{4} - b^{2} c x^{2}\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} - 6 \, \sqrt{\frac{1}{3}} {\left(18 \, a^{2} c x^{4} - 18 \, b^{2} c x^{2} + {\left(a^{4} c x^{5} - 2 \, a^{2} b^{2} c x^{3} + b^{4} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}\right)} \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}}{324 \, {\left(a^{6} x^{6} - b^{6} + c x^{3}\right)}}\right) + \frac{1}{12} \, \sqrt{\frac{2}{3}} \sqrt{\frac{1}{6}} \sqrt{-\frac{54 \, a^{2} b^{2} - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c - 3 \, \sqrt{\frac{1}{3}} c \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}}{c}} \log\left(\frac{648 \, a^{6} x^{6} - 1944 \, a^{4} b^{2} x^{4} + 1944 \, a^{2} b^{4} x^{2} - 648 \, b^{6} - 648 \, c x^{3} + 2 \, {\left(a^{4} c x^{5} - 2 \, a^{2} b^{2} c x^{3} + b^{4} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} - \sqrt{\frac{2}{3}} \sqrt{\frac{1}{6}} {\left({\left(a^{4} c x^{4} - 2 \, a^{2} b^{2} c x^{2} + b^{4} c\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} \sqrt{a^{2} x^{3} - b^{2} x} - 18 \, {\left(3 \, a^{6} b^{2} x^{4} - 6 \, a^{4} b^{4} x^{2} + 3 \, a^{2} b^{6} + a^{2} c x^{3} - b^{2} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} \sqrt{a^{2} x^{3} - b^{2} x} - 3 \, \sqrt{\frac{1}{3}} {\left({\left(a^{4} c x^{4} - 2 \, a^{2} b^{2} c x^{2} + b^{4} c\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 18 \, {\left(a^{2} c x^{3} - b^{2} c x\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}} - 324 \, {\left(3 \, a^{4} b^{2} x^{3} - 3 \, a^{2} b^{4} x + 2 \, c x^{2}\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{-\frac{54 \, a^{2} b^{2} - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c - 3 \, \sqrt{\frac{1}{3}} c \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}}{c}} - 36 \, {\left(3 \, a^{6} b^{2} x^{5} - 6 \, a^{4} b^{4} x^{3} + 3 \, a^{2} b^{6} x + a^{2} c x^{4} - b^{2} c x^{2}\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} - 6 \, \sqrt{\frac{1}{3}} {\left(18 \, a^{2} c x^{4} - 18 \, b^{2} c x^{2} + {\left(a^{4} c x^{5} - 2 \, a^{2} b^{2} c x^{3} + b^{4} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}\right)} \sqrt{\frac{972 \, a^{4} b^{4} + 36 \, {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} a^{2} b^{2} c - {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}}{324 \, {\left(a^{6} x^{6} - b^{6} + c x^{3}\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{162 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} - \frac{a^{2} b^{2}}{9 \, c} - \frac{1}{2} \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}} \log\left(\frac{162 \, a^{6} x^{6} - 972 \, a^{4} b^{2} x^{4} + 972 \, a^{2} b^{4} x^{2} - 162 \, b^{6} - 162 \, c x^{3} - {\left(a^{4} c x^{5} - 2 \, a^{2} b^{2} c x^{3} + b^{4} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} + 18 \, {\left(3 \, a^{6} b^{2} x^{5} - 6 \, a^{4} b^{4} x^{3} + 3 \, a^{2} b^{6} x + a^{2} c x^{4} - b^{2} c x^{2}\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} + 3 \, \sqrt{-\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{162 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} - \frac{a^{2} b^{2}}{9 \, c} - \frac{1}{2} \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}} {\left({\left(a^{4} c x^{4} - 2 \, a^{2} b^{2} c x^{2} + b^{4} c\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} \sqrt{a^{2} x^{3} - b^{2} x} - 18 \, {\left(3 \, a^{6} b^{2} x^{4} - 6 \, a^{4} b^{4} x^{2} + 3 \, a^{2} b^{6} + a^{2} c x^{3} - b^{2} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 324 \, {\left(3 \, a^{4} b^{2} x^{3} - 3 \, a^{2} b^{4} x + c x^{2}\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)}}{162 \, {\left(a^{6} x^{6} - b^{6} + c x^{3}\right)}}\right) - \frac{1}{2} \, \sqrt{-\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{162 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} - \frac{a^{2} b^{2}}{9 \, c} - \frac{1}{2} \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}} \log\left(\frac{162 \, a^{6} x^{6} - 972 \, a^{4} b^{2} x^{4} + 972 \, a^{2} b^{4} x^{2} - 162 \, b^{6} - 162 \, c x^{3} - {\left(a^{4} c x^{5} - 2 \, a^{2} b^{2} c x^{3} + b^{4} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} + 18 \, {\left(3 \, a^{6} b^{2} x^{5} - 6 \, a^{4} b^{4} x^{3} + 3 \, a^{2} b^{6} x + a^{2} c x^{4} - b^{2} c x^{2}\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} - 3 \, \sqrt{-\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{162 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} - \frac{a^{2} b^{2}}{9 \, c} - \frac{1}{2} \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}} {\left({\left(a^{4} c x^{4} - 2 \, a^{2} b^{2} c x^{2} + b^{4} c\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} \sqrt{a^{2} x^{3} - b^{2} x} - 18 \, {\left(3 \, a^{6} b^{2} x^{4} - 6 \, a^{4} b^{4} x^{2} + 3 \, a^{2} b^{6} + a^{2} c x^{3} - b^{2} c x\right)} {\left(\frac{a^{4} b^{4} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} c^{2}} + \frac{18 \, a^{2} b^{2}}{c} + 81 \, {\left(-\frac{a^{6} b^{6}}{729 \, c^{3}} - \frac{1}{1458 \, c} + \frac{\sqrt{4 \, a^{6} b^{6} + c^{2}}}{1458 \, c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 324 \, {\left(3 \, a^{4} b^{2} x^{3} - 3 \, a^{2} b^{4} x + c x^{2}\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)}}{162 \, {\left(a^{6} x^{6} - b^{6} + c x^{3}\right)}}\right)"," ",0,"-1/12*sqrt(2/3)*sqrt(1/6)*sqrt(-(54*a^2*b^2 - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*c + 3*sqrt(1/3)*c*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))/c)*log(1/324*(648*a^6*x^6 - 1944*a^4*b^2*x^4 + 1944*a^2*b^4*x^2 - 648*b^6 - 648*c*x^3 + 2*(a^4*c*x^5 - 2*a^2*b^2*c*x^3 + b^4*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2 + sqrt(2/3)*sqrt(1/6)*((a^4*c*x^4 - 2*a^2*b^2*c*x^2 + b^4*c)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*sqrt(a^2*x^3 - b^2*x) - 18*(3*a^6*b^2*x^4 - 6*a^4*b^4*x^2 + 3*a^2*b^6 + a^2*c*x^3 - b^2*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*sqrt(a^2*x^3 - b^2*x) + 3*sqrt(1/3)*((a^4*c*x^4 - 2*a^2*b^2*c*x^2 + b^4*c)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*sqrt(a^2*x^3 - b^2*x) + 18*(a^2*c*x^3 - b^2*c*x)*sqrt(a^2*x^3 - b^2*x))*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2) - 324*(3*a^4*b^2*x^3 - 3*a^2*b^4*x + 2*c*x^2)*sqrt(a^2*x^3 - b^2*x))*sqrt(-(54*a^2*b^2 - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*c + 3*sqrt(1/3)*c*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))/c) - 36*(3*a^6*b^2*x^5 - 6*a^4*b^4*x^3 + 3*a^2*b^6*x + a^2*c*x^4 - b^2*c*x^2)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1)) + 6*sqrt(1/3)*(18*a^2*c*x^4 - 18*b^2*c*x^2 + (a^4*c*x^5 - 2*a^2*b^2*c*x^3 + b^4*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1)))*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))/(a^6*x^6 - b^6 + c*x^3)) + 1/12*sqrt(2/3)*sqrt(1/6)*sqrt(-(54*a^2*b^2 - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*c + 3*sqrt(1/3)*c*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))/c)*log(1/324*(648*a^6*x^6 - 1944*a^4*b^2*x^4 + 1944*a^2*b^4*x^2 - 648*b^6 - 648*c*x^3 + 2*(a^4*c*x^5 - 2*a^2*b^2*c*x^3 + b^4*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2 - sqrt(2/3)*sqrt(1/6)*((a^4*c*x^4 - 2*a^2*b^2*c*x^2 + b^4*c)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*sqrt(a^2*x^3 - b^2*x) - 18*(3*a^6*b^2*x^4 - 6*a^4*b^4*x^2 + 3*a^2*b^6 + a^2*c*x^3 - b^2*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*sqrt(a^2*x^3 - b^2*x) + 3*sqrt(1/3)*((a^4*c*x^4 - 2*a^2*b^2*c*x^2 + b^4*c)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*sqrt(a^2*x^3 - b^2*x) + 18*(a^2*c*x^3 - b^2*c*x)*sqrt(a^2*x^3 - b^2*x))*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2) - 324*(3*a^4*b^2*x^3 - 3*a^2*b^4*x + 2*c*x^2)*sqrt(a^2*x^3 - b^2*x))*sqrt(-(54*a^2*b^2 - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*c + 3*sqrt(1/3)*c*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))/c) - 36*(3*a^6*b^2*x^5 - 6*a^4*b^4*x^3 + 3*a^2*b^6*x + a^2*c*x^4 - b^2*c*x^2)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1)) + 6*sqrt(1/3)*(18*a^2*c*x^4 - 18*b^2*c*x^2 + (a^4*c*x^5 - 2*a^2*b^2*c*x^3 + b^4*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1)))*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))/(a^6*x^6 - b^6 + c*x^3)) - 1/12*sqrt(2/3)*sqrt(1/6)*sqrt(-(54*a^2*b^2 - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*c - 3*sqrt(1/3)*c*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))/c)*log(1/324*(648*a^6*x^6 - 1944*a^4*b^2*x^4 + 1944*a^2*b^4*x^2 - 648*b^6 - 648*c*x^3 + 2*(a^4*c*x^5 - 2*a^2*b^2*c*x^3 + b^4*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2 + sqrt(2/3)*sqrt(1/6)*((a^4*c*x^4 - 2*a^2*b^2*c*x^2 + b^4*c)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*sqrt(a^2*x^3 - b^2*x) - 18*(3*a^6*b^2*x^4 - 6*a^4*b^4*x^2 + 3*a^2*b^6 + a^2*c*x^3 - b^2*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*sqrt(a^2*x^3 - b^2*x) - 3*sqrt(1/3)*((a^4*c*x^4 - 2*a^2*b^2*c*x^2 + b^4*c)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*sqrt(a^2*x^3 - b^2*x) + 18*(a^2*c*x^3 - b^2*c*x)*sqrt(a^2*x^3 - b^2*x))*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2) - 324*(3*a^4*b^2*x^3 - 3*a^2*b^4*x + 2*c*x^2)*sqrt(a^2*x^3 - b^2*x))*sqrt(-(54*a^2*b^2 - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*c - 3*sqrt(1/3)*c*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))/c) - 36*(3*a^6*b^2*x^5 - 6*a^4*b^4*x^3 + 3*a^2*b^6*x + a^2*c*x^4 - b^2*c*x^2)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1)) - 6*sqrt(1/3)*(18*a^2*c*x^4 - 18*b^2*c*x^2 + (a^4*c*x^5 - 2*a^2*b^2*c*x^3 + b^4*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1)))*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))/(a^6*x^6 - b^6 + c*x^3)) + 1/12*sqrt(2/3)*sqrt(1/6)*sqrt(-(54*a^2*b^2 - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*c - 3*sqrt(1/3)*c*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))/c)*log(1/324*(648*a^6*x^6 - 1944*a^4*b^2*x^4 + 1944*a^2*b^4*x^2 - 648*b^6 - 648*c*x^3 + 2*(a^4*c*x^5 - 2*a^2*b^2*c*x^3 + b^4*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2 - sqrt(2/3)*sqrt(1/6)*((a^4*c*x^4 - 2*a^2*b^2*c*x^2 + b^4*c)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*sqrt(a^2*x^3 - b^2*x) - 18*(3*a^6*b^2*x^4 - 6*a^4*b^4*x^2 + 3*a^2*b^6 + a^2*c*x^3 - b^2*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*sqrt(a^2*x^3 - b^2*x) - 3*sqrt(1/3)*((a^4*c*x^4 - 2*a^2*b^2*c*x^2 + b^4*c)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*sqrt(a^2*x^3 - b^2*x) + 18*(a^2*c*x^3 - b^2*c*x)*sqrt(a^2*x^3 - b^2*x))*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2) - 324*(3*a^4*b^2*x^3 - 3*a^2*b^4*x + 2*c*x^2)*sqrt(a^2*x^3 - b^2*x))*sqrt(-(54*a^2*b^2 - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*c - 3*sqrt(1/3)*c*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))/c) - 36*(3*a^6*b^2*x^5 - 6*a^4*b^4*x^3 + 3*a^2*b^6*x + a^2*c*x^4 - b^2*c*x^2)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1)) - 6*sqrt(1/3)*(18*a^2*c*x^4 - 18*b^2*c*x^2 + (a^4*c*x^5 - 2*a^2*b^2*c*x^3 + b^4*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1)))*sqrt((972*a^4*b^4 + 36*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*a^2*b^2*c - (a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))/(a^6*x^6 - b^6 + c*x^3)) + 1/2*sqrt(-1/162*a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) - 1/9*a^2*b^2/c - 1/2*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*log(1/162*(162*a^6*x^6 - 972*a^4*b^2*x^4 + 972*a^2*b^4*x^2 - 162*b^6 - 162*c*x^3 - (a^4*c*x^5 - 2*a^2*b^2*c*x^3 + b^4*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2 + 18*(3*a^6*b^2*x^5 - 6*a^4*b^4*x^3 + 3*a^2*b^6*x + a^2*c*x^4 - b^2*c*x^2)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1)) + 3*sqrt(-1/162*a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) - 1/9*a^2*b^2/c - 1/2*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*((a^4*c*x^4 - 2*a^2*b^2*c*x^2 + b^4*c)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*sqrt(a^2*x^3 - b^2*x) - 18*(3*a^6*b^2*x^4 - 6*a^4*b^4*x^2 + 3*a^2*b^6 + a^2*c*x^3 - b^2*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*sqrt(a^2*x^3 - b^2*x) + 324*(3*a^4*b^2*x^3 - 3*a^2*b^4*x + c*x^2)*sqrt(a^2*x^3 - b^2*x)))/(a^6*x^6 - b^6 + c*x^3)) - 1/2*sqrt(-1/162*a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) - 1/9*a^2*b^2/c - 1/2*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*log(1/162*(162*a^6*x^6 - 972*a^4*b^2*x^4 + 972*a^2*b^4*x^2 - 162*b^6 - 162*c*x^3 - (a^4*c*x^5 - 2*a^2*b^2*c*x^3 + b^4*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2 + 18*(3*a^6*b^2*x^5 - 6*a^4*b^4*x^3 + 3*a^2*b^6*x + a^2*c*x^4 - b^2*c*x^2)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1)) - 3*sqrt(-1/162*a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) - 1/9*a^2*b^2/c - 1/2*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*((a^4*c*x^4 - 2*a^2*b^2*c*x^2 + b^4*c)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))^2*sqrt(a^2*x^3 - b^2*x) - 18*(3*a^6*b^2*x^4 - 6*a^4*b^4*x^2 + 3*a^2*b^6 + a^2*c*x^3 - b^2*c*x)*(a^4*b^4*(-I*sqrt(3) + 1)/((-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*c^2) + 18*a^2*b^2/c + 81*(-1/729*a^6*b^6/c^3 - 1/1458/c + 1/1458*sqrt(4*a^6*b^6 + c^2)/c^2)^(1/3)*(I*sqrt(3) + 1))*sqrt(a^2*x^3 - b^2*x) + 324*(3*a^4*b^2*x^3 - 3*a^2*b^4*x + c*x^2)*sqrt(a^2*x^3 - b^2*x)))/(a^6*x^6 - b^6 + c*x^3))","B",0
788,1,220,0,0.566042," ","integrate((-3*x^5+x)/(x^5+x)^(1/2)/(x^8+2*x^4-a*x^2+1),x, algorithm=""fricas"")","-\frac{1}{a^{3}}^{\frac{1}{4}} \arctan\left(\frac{\sqrt{x^{5} + x} a \frac{1}{a^{3}}^{\frac{1}{4}}}{x^{4} + 1}\right) + \frac{1}{4} \, \frac{1}{a^{3}}^{\frac{1}{4}} \log\left(\frac{x^{8} + 2 \, x^{4} + a x^{2} + 2 \, \sqrt{x^{5} + x} {\left(a^{3} \frac{1}{a^{3}}^{\frac{3}{4}} x + {\left(a x^{4} + a\right)} \frac{1}{a^{3}}^{\frac{1}{4}}\right)} + 2 \, {\left(a^{2} x^{5} + a^{2} x\right)} \sqrt{\frac{1}{a^{3}}} + 1}{x^{8} + 2 \, x^{4} - a x^{2} + 1}\right) - \frac{1}{4} \, \frac{1}{a^{3}}^{\frac{1}{4}} \log\left(\frac{x^{8} + 2 \, x^{4} + a x^{2} - 2 \, \sqrt{x^{5} + x} {\left(a^{3} \frac{1}{a^{3}}^{\frac{3}{4}} x + {\left(a x^{4} + a\right)} \frac{1}{a^{3}}^{\frac{1}{4}}\right)} + 2 \, {\left(a^{2} x^{5} + a^{2} x\right)} \sqrt{\frac{1}{a^{3}}} + 1}{x^{8} + 2 \, x^{4} - a x^{2} + 1}\right)"," ",0,"-(a^(-3))^(1/4)*arctan(sqrt(x^5 + x)*a*(a^(-3))^(1/4)/(x^4 + 1)) + 1/4*(a^(-3))^(1/4)*log((x^8 + 2*x^4 + a*x^2 + 2*sqrt(x^5 + x)*(a^3*(a^(-3))^(3/4)*x + (a*x^4 + a)*(a^(-3))^(1/4)) + 2*(a^2*x^5 + a^2*x)*sqrt(a^(-3)) + 1)/(x^8 + 2*x^4 - a*x^2 + 1)) - 1/4*(a^(-3))^(1/4)*log((x^8 + 2*x^4 + a*x^2 - 2*sqrt(x^5 + x)*(a^3*(a^(-3))^(3/4)*x + (a*x^4 + a)*(a^(-3))^(1/4)) + 2*(a^2*x^5 + a^2*x)*sqrt(a^(-3)) + 1)/(x^8 + 2*x^4 - a*x^2 + 1))","B",0
789,1,75,0,0.495785," ","integrate((-2*x^8+1)^(1/2)*(2*x^8-1)*(2*x^8+1)/x^7/(2*x^8+x^4-1),x, algorithm=""fricas"")","\frac{3 \, x^{6} \log\left(-\frac{2 \, x^{8} - x^{4} - 2 \, \sqrt{-2 \, x^{8} + 1} x^{2} - 1}{2 \, x^{8} + x^{4} - 1}\right) + 2 \, {\left(2 \, x^{8} - 3 \, x^{4} - 1\right)} \sqrt{-2 \, x^{8} + 1}}{12 \, x^{6}}"," ",0,"1/12*(3*x^6*log(-(2*x^8 - x^4 - 2*sqrt(-2*x^8 + 1)*x^2 - 1)/(2*x^8 + x^4 - 1)) + 2*(2*x^8 - 3*x^4 - 1)*sqrt(-2*x^8 + 1))/x^6","A",0
790,1,190,0,0.588258," ","integrate((3*x^5-x)/(x^5+x)^(1/2)/(a*x^8+2*a*x^4-x^2+a),x, algorithm=""fricas"")","\frac{\arctan\left(\frac{\sqrt{x^{5} + x}}{{\left(x^{4} + 1\right)} a^{\frac{1}{4}}}\right)}{a^{\frac{1}{4}}} - \frac{\log\left(\frac{a x^{8} + 2 \, a x^{4} + x^{2} + 2 \, \sqrt{x^{5} + x} {\left(a^{\frac{1}{4}} x + \frac{a x^{4} + a}{a^{\frac{1}{4}}}\right)} + a + \frac{2 \, {\left(a x^{5} + a x\right)}}{\sqrt{a}}}{a x^{8} + 2 \, a x^{4} - x^{2} + a}\right)}{4 \, a^{\frac{1}{4}}} + \frac{\log\left(\frac{a x^{8} + 2 \, a x^{4} + x^{2} - 2 \, \sqrt{x^{5} + x} {\left(a^{\frac{1}{4}} x + \frac{a x^{4} + a}{a^{\frac{1}{4}}}\right)} + a + \frac{2 \, {\left(a x^{5} + a x\right)}}{\sqrt{a}}}{a x^{8} + 2 \, a x^{4} - x^{2} + a}\right)}{4 \, a^{\frac{1}{4}}}"," ",0,"arctan(sqrt(x^5 + x)/((x^4 + 1)*a^(1/4)))/a^(1/4) - 1/4*log((a*x^8 + 2*a*x^4 + x^2 + 2*sqrt(x^5 + x)*(a^(1/4)*x + (a*x^4 + a)/a^(1/4)) + a + 2*(a*x^5 + a*x)/sqrt(a))/(a*x^8 + 2*a*x^4 - x^2 + a))/a^(1/4) + 1/4*log((a*x^8 + 2*a*x^4 + x^2 - 2*sqrt(x^5 + x)*(a^(1/4)*x + (a*x^4 + a)/a^(1/4)) + a + 2*(a*x^5 + a*x)/sqrt(a))/(a*x^8 + 2*a*x^4 - x^2 + a))/a^(1/4)","B",0
791,-1,0,0,0.000000," ","integrate(x^5*(9*a*x^2+7*b)/(a*x^5+b*x^3)^(1/4)/(a*x^9+b*x^7-2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
792,1,27,0,0.464145," ","integrate(x^2/(x^2+1)/(1024*x^10-16640*x^9+112000*x^8-401440*x^7+820340*x^6-954733*x^5+615255*x^4-225810*x^3+47250*x^2-5265*x+243)^(1/5),x, algorithm=""fricas"")","\frac{1}{170} \, \arctan\left(x\right) - \frac{13}{340} \, \log\left(x^{2} + 1\right) - \frac{1}{187} \, \log\left(4 \, x - 1\right) + \frac{9}{110} \, \log\left(x - 3\right)"," ",0,"1/170*arctan(x) - 13/340*log(x^2 + 1) - 1/187*log(4*x - 1) + 9/110*log(x - 3)","A",0
793,1,2025,0,1.526274," ","integrate((x^2-2*x+1)^(1/3)/(x^2+2),x, algorithm=""fricas"")","\frac{1}{8} \cdot 18^{\frac{1}{6}} 4^{\frac{2}{3}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) \log\left(-\frac{24 \, {\left(18^{\frac{1}{6}} 4^{\frac{2}{3}} \sqrt{2} {\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{3}} {\left(x - 1\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) + 2 \cdot 18^{\frac{1}{6}} 4^{\frac{2}{3}} {\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{3}} {\left(x - 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) - 18^{\frac{1}{3}} 4^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 1\right)} - 6 \, {\left(x^{2} - 2 \, x + 1\right)}^{\frac{2}{3}}\right)}}{x^{2} - 2 \, x + 1}\right) - \frac{1}{2} \cdot 18^{\frac{1}{6}} 4^{\frac{2}{3}} \arctan\left(-\frac{6 \cdot 18^{\frac{5}{6}} 4^{\frac{1}{3}} \sqrt{2} {\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{3}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) - \sqrt{6} {\left(18^{\frac{5}{6}} 4^{\frac{1}{3}} \sqrt{2} {\left(x - 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) + 2 \cdot 18^{\frac{5}{6}} 4^{\frac{1}{3}} {\left(x - 1\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)\right)} \sqrt{-\frac{18^{\frac{1}{6}} 4^{\frac{2}{3}} \sqrt{2} {\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{3}} {\left(x - 1\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) + 2 \cdot 18^{\frac{1}{6}} 4^{\frac{2}{3}} {\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{3}} {\left(x - 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) - 18^{\frac{1}{3}} 4^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 1\right)} - 6 \, {\left(x^{2} - 2 \, x + 1\right)}^{\frac{2}{3}}}{x^{2} - 2 \, x + 1}} - 12 \, {\left(18 \, {\left(x - 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) - 18^{\frac{5}{6}} 4^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{3}}\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) - 72 \, \sqrt{2} {\left(x - 1\right)}}{72 \, {\left(3 \, {\left(x - 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)^{2} - 2 \, x + 2\right)}}\right) \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) - \frac{1}{4} \, {\left(18^{\frac{1}{6}} 4^{\frac{2}{3}} \sqrt{3} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) - 18^{\frac{1}{6}} 4^{\frac{2}{3}} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)\right)} \arctan\left(\frac{72 \cdot 18^{\frac{5}{6}} 4^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} + \sqrt{2}\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)^{3} - 6 \cdot 18^{\frac{5}{6}} 4^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{3}} {\left(14 \, \sqrt{3} + 17 \, \sqrt{2}\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) + 432 \, {\left(\sqrt{3} {\left(x - 1\right)} - 2 \, \sqrt{2} {\left(x - 1\right)}\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)^{2} - \sqrt{3} {\left(12 \cdot 18^{\frac{5}{6}} 4^{\frac{1}{3}} {\left(2 \, \sqrt{3} {\left(x - 1\right)} + \sqrt{2} {\left(x - 1\right)}\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)^{3} - 18^{\frac{5}{6}} 4^{\frac{1}{3}} {\left(14 \, \sqrt{3} {\left(x - 1\right)} + 17 \, \sqrt{2} {\left(x - 1\right)}\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) - {\left(12 \cdot 18^{\frac{5}{6}} 4^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} {\left(x - 1\right)} - 2 \, x + 2\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)^{2} - 18^{\frac{5}{6}} 4^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} {\left(x - 1\right)} + 2 \, x - 2\right)}\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)\right)} \sqrt{-\frac{18^{\frac{1}{6}} 4^{\frac{2}{3}} {\left(\sqrt{3} \sqrt{2} {\left(x - 1\right)} - 2 \, x + 2\right)} {\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{3}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) - 18^{\frac{1}{6}} 4^{\frac{2}{3}} {\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} {\left(x - 1\right)} + \sqrt{2} {\left(x - 1\right)}\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) - 2 \cdot 18^{\frac{1}{3}} 4^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 1\right)} - 12 \, {\left(x^{2} - 2 \, x + 1\right)}^{\frac{2}{3}}}{x^{2} - 2 \, x + 1}} - 6 \, {\left(12 \cdot 18^{\frac{5}{6}} 4^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} - 2\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)^{2} - 864 \, {\left(x - 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)^{3} - 18^{\frac{5}{6}} 4^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} + 2\right)} + 72 \, {\left(2 \, \sqrt{3} \sqrt{2} {\left(x - 1\right)} + 5 \, x - 5\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) + 108 \, \sqrt{3} {\left(x - 1\right)} + 144 \, \sqrt{2} {\left(x - 1\right)}}{36 \, {\left(144 \, {\left(x - 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)^{4} - 120 \, {\left(x - 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)^{2} + x - 1\right)}}\right) - \frac{1}{4} \, {\left(18^{\frac{1}{6}} 4^{\frac{2}{3}} \sqrt{3} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) + 18^{\frac{1}{6}} 4^{\frac{2}{3}} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)\right)} \arctan\left(\frac{72 \cdot 18^{\frac{5}{6}} 4^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} - \sqrt{2}\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)^{3} - 6 \cdot 18^{\frac{5}{6}} 4^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{3}} {\left(14 \, \sqrt{3} - 17 \, \sqrt{2}\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) + 432 \, {\left(\sqrt{3} {\left(x - 1\right)} + 2 \, \sqrt{2} {\left(x - 1\right)}\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)^{2} - \sqrt{3} {\left(12 \cdot 18^{\frac{5}{6}} 4^{\frac{1}{3}} {\left(2 \, \sqrt{3} {\left(x - 1\right)} - \sqrt{2} {\left(x - 1\right)}\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)^{3} - 18^{\frac{5}{6}} 4^{\frac{1}{3}} {\left(14 \, \sqrt{3} {\left(x - 1\right)} - 17 \, \sqrt{2} {\left(x - 1\right)}\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) - {\left(12 \cdot 18^{\frac{5}{6}} 4^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} {\left(x - 1\right)} + 2 \, x - 2\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)^{2} - 18^{\frac{5}{6}} 4^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} {\left(x - 1\right)} - 2 \, x + 2\right)}\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)\right)} \sqrt{\frac{18^{\frac{1}{6}} 4^{\frac{2}{3}} {\left(\sqrt{3} \sqrt{2} {\left(x - 1\right)} + 2 \, x - 2\right)} {\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{3}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) - 18^{\frac{1}{6}} 4^{\frac{2}{3}} {\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} {\left(x - 1\right)} - \sqrt{2} {\left(x - 1\right)}\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) + 2 \cdot 18^{\frac{1}{3}} 4^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 1\right)} + 12 \, {\left(x^{2} - 2 \, x + 1\right)}^{\frac{2}{3}}}{x^{2} - 2 \, x + 1}} - 6 \, {\left(12 \cdot 18^{\frac{5}{6}} 4^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} + 2\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)^{2} + 864 \, {\left(x - 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)^{3} - 18^{\frac{5}{6}} 4^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} - 2\right)} + 72 \, {\left(2 \, \sqrt{3} \sqrt{2} {\left(x - 1\right)} - 5 \, x + 5\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) + 108 \, \sqrt{3} {\left(x - 1\right)} - 144 \, \sqrt{2} {\left(x - 1\right)}}{36 \, {\left(144 \, {\left(x - 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)^{4} - 120 \, {\left(x - 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)^{2} + x - 1\right)}}\right) + \frac{1}{16} \, {\left(18^{\frac{1}{6}} 4^{\frac{2}{3}} \sqrt{3} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) - 18^{\frac{1}{6}} 4^{\frac{2}{3}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)\right)} \log\left(\frac{48 \, {\left(18^{\frac{1}{6}} 4^{\frac{2}{3}} {\left(\sqrt{3} \sqrt{2} {\left(x - 1\right)} + 2 \, x - 2\right)} {\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{3}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) - 18^{\frac{1}{6}} 4^{\frac{2}{3}} {\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} {\left(x - 1\right)} - \sqrt{2} {\left(x - 1\right)}\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) + 2 \cdot 18^{\frac{1}{3}} 4^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 1\right)} + 12 \, {\left(x^{2} - 2 \, x + 1\right)}^{\frac{2}{3}}\right)}}{x^{2} - 2 \, x + 1}\right) - \frac{1}{16} \, {\left(18^{\frac{1}{6}} 4^{\frac{2}{3}} \sqrt{3} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) + 18^{\frac{1}{6}} 4^{\frac{2}{3}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right)\right)} \log\left(-\frac{48 \, {\left(18^{\frac{1}{6}} 4^{\frac{2}{3}} {\left(\sqrt{3} \sqrt{2} {\left(x - 1\right)} - 2 \, x + 2\right)} {\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{3}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) - 18^{\frac{1}{6}} 4^{\frac{2}{3}} {\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} {\left(x - 1\right)} + \sqrt{2} {\left(x - 1\right)}\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} - 3\right)\right) - 2 \cdot 18^{\frac{1}{3}} 4^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 1\right)} - 12 \, {\left(x^{2} - 2 \, x + 1\right)}^{\frac{2}{3}}\right)}}{x^{2} - 2 \, x + 1}\right)"," ",0,"1/8*18^(1/6)*4^(2/3)*cos(2/3*arctan(2*sqrt(2) - 3))*log(-24*(18^(1/6)*4^(2/3)*sqrt(2)*(x^2 - 2*x + 1)^(1/3)*(x - 1)*sin(2/3*arctan(2*sqrt(2) - 3)) + 2*18^(1/6)*4^(2/3)*(x^2 - 2*x + 1)^(1/3)*(x - 1)*cos(2/3*arctan(2*sqrt(2) - 3)) - 18^(1/3)*4^(1/3)*(x^2 - 2*x + 1) - 6*(x^2 - 2*x + 1)^(2/3))/(x^2 - 2*x + 1)) - 1/2*18^(1/6)*4^(2/3)*arctan(-1/72*(6*18^(5/6)*4^(1/3)*sqrt(2)*(x^2 - 2*x + 1)^(1/3)*cos(2/3*arctan(2*sqrt(2) - 3)) - sqrt(6)*(18^(5/6)*4^(1/3)*sqrt(2)*(x - 1)*cos(2/3*arctan(2*sqrt(2) - 3)) + 2*18^(5/6)*4^(1/3)*(x - 1)*sin(2/3*arctan(2*sqrt(2) - 3)))*sqrt(-(18^(1/6)*4^(2/3)*sqrt(2)*(x^2 - 2*x + 1)^(1/3)*(x - 1)*sin(2/3*arctan(2*sqrt(2) - 3)) + 2*18^(1/6)*4^(2/3)*(x^2 - 2*x + 1)^(1/3)*(x - 1)*cos(2/3*arctan(2*sqrt(2) - 3)) - 18^(1/3)*4^(1/3)*(x^2 - 2*x + 1) - 6*(x^2 - 2*x + 1)^(2/3))/(x^2 - 2*x + 1)) - 12*(18*(x - 1)*cos(2/3*arctan(2*sqrt(2) - 3)) - 18^(5/6)*4^(1/3)*(x^2 - 2*x + 1)^(1/3))*sin(2/3*arctan(2*sqrt(2) - 3)) - 72*sqrt(2)*(x - 1))/(3*(x - 1)*cos(2/3*arctan(2*sqrt(2) - 3))^2 - 2*x + 2))*sin(2/3*arctan(2*sqrt(2) - 3)) - 1/4*(18^(1/6)*4^(2/3)*sqrt(3)*cos(2/3*arctan(2*sqrt(2) - 3)) - 18^(1/6)*4^(2/3)*sin(2/3*arctan(2*sqrt(2) - 3)))*arctan(1/36*(72*18^(5/6)*4^(1/3)*(x^2 - 2*x + 1)^(1/3)*(2*sqrt(3) + sqrt(2))*cos(2/3*arctan(2*sqrt(2) - 3))^3 - 6*18^(5/6)*4^(1/3)*(x^2 - 2*x + 1)^(1/3)*(14*sqrt(3) + 17*sqrt(2))*cos(2/3*arctan(2*sqrt(2) - 3)) + 432*(sqrt(3)*(x - 1) - 2*sqrt(2)*(x - 1))*cos(2/3*arctan(2*sqrt(2) - 3))^2 - sqrt(3)*(12*18^(5/6)*4^(1/3)*(2*sqrt(3)*(x - 1) + sqrt(2)*(x - 1))*cos(2/3*arctan(2*sqrt(2) - 3))^3 - 18^(5/6)*4^(1/3)*(14*sqrt(3)*(x - 1) + 17*sqrt(2)*(x - 1))*cos(2/3*arctan(2*sqrt(2) - 3)) - (12*18^(5/6)*4^(1/3)*(sqrt(3)*sqrt(2)*(x - 1) - 2*x + 2)*cos(2/3*arctan(2*sqrt(2) - 3))^2 - 18^(5/6)*4^(1/3)*(sqrt(3)*sqrt(2)*(x - 1) + 2*x - 2))*sin(2/3*arctan(2*sqrt(2) - 3)))*sqrt(-(18^(1/6)*4^(2/3)*(sqrt(3)*sqrt(2)*(x - 1) - 2*x + 2)*(x^2 - 2*x + 1)^(1/3)*cos(2/3*arctan(2*sqrt(2) - 3)) - 18^(1/6)*4^(2/3)*(x^2 - 2*x + 1)^(1/3)*(2*sqrt(3)*(x - 1) + sqrt(2)*(x - 1))*sin(2/3*arctan(2*sqrt(2) - 3)) - 2*18^(1/3)*4^(1/3)*(x^2 - 2*x + 1) - 12*(x^2 - 2*x + 1)^(2/3))/(x^2 - 2*x + 1)) - 6*(12*18^(5/6)*4^(1/3)*(x^2 - 2*x + 1)^(1/3)*(sqrt(3)*sqrt(2) - 2)*cos(2/3*arctan(2*sqrt(2) - 3))^2 - 864*(x - 1)*cos(2/3*arctan(2*sqrt(2) - 3))^3 - 18^(5/6)*4^(1/3)*(x^2 - 2*x + 1)^(1/3)*(sqrt(3)*sqrt(2) + 2) + 72*(2*sqrt(3)*sqrt(2)*(x - 1) + 5*x - 5)*cos(2/3*arctan(2*sqrt(2) - 3)))*sin(2/3*arctan(2*sqrt(2) - 3)) + 108*sqrt(3)*(x - 1) + 144*sqrt(2)*(x - 1))/(144*(x - 1)*cos(2/3*arctan(2*sqrt(2) - 3))^4 - 120*(x - 1)*cos(2/3*arctan(2*sqrt(2) - 3))^2 + x - 1)) - 1/4*(18^(1/6)*4^(2/3)*sqrt(3)*cos(2/3*arctan(2*sqrt(2) - 3)) + 18^(1/6)*4^(2/3)*sin(2/3*arctan(2*sqrt(2) - 3)))*arctan(1/36*(72*18^(5/6)*4^(1/3)*(x^2 - 2*x + 1)^(1/3)*(2*sqrt(3) - sqrt(2))*cos(2/3*arctan(2*sqrt(2) - 3))^3 - 6*18^(5/6)*4^(1/3)*(x^2 - 2*x + 1)^(1/3)*(14*sqrt(3) - 17*sqrt(2))*cos(2/3*arctan(2*sqrt(2) - 3)) + 432*(sqrt(3)*(x - 1) + 2*sqrt(2)*(x - 1))*cos(2/3*arctan(2*sqrt(2) - 3))^2 - sqrt(3)*(12*18^(5/6)*4^(1/3)*(2*sqrt(3)*(x - 1) - sqrt(2)*(x - 1))*cos(2/3*arctan(2*sqrt(2) - 3))^3 - 18^(5/6)*4^(1/3)*(14*sqrt(3)*(x - 1) - 17*sqrt(2)*(x - 1))*cos(2/3*arctan(2*sqrt(2) - 3)) - (12*18^(5/6)*4^(1/3)*(sqrt(3)*sqrt(2)*(x - 1) + 2*x - 2)*cos(2/3*arctan(2*sqrt(2) - 3))^2 - 18^(5/6)*4^(1/3)*(sqrt(3)*sqrt(2)*(x - 1) - 2*x + 2))*sin(2/3*arctan(2*sqrt(2) - 3)))*sqrt((18^(1/6)*4^(2/3)*(sqrt(3)*sqrt(2)*(x - 1) + 2*x - 2)*(x^2 - 2*x + 1)^(1/3)*cos(2/3*arctan(2*sqrt(2) - 3)) - 18^(1/6)*4^(2/3)*(x^2 - 2*x + 1)^(1/3)*(2*sqrt(3)*(x - 1) - sqrt(2)*(x - 1))*sin(2/3*arctan(2*sqrt(2) - 3)) + 2*18^(1/3)*4^(1/3)*(x^2 - 2*x + 1) + 12*(x^2 - 2*x + 1)^(2/3))/(x^2 - 2*x + 1)) - 6*(12*18^(5/6)*4^(1/3)*(x^2 - 2*x + 1)^(1/3)*(sqrt(3)*sqrt(2) + 2)*cos(2/3*arctan(2*sqrt(2) - 3))^2 + 864*(x - 1)*cos(2/3*arctan(2*sqrt(2) - 3))^3 - 18^(5/6)*4^(1/3)*(x^2 - 2*x + 1)^(1/3)*(sqrt(3)*sqrt(2) - 2) + 72*(2*sqrt(3)*sqrt(2)*(x - 1) - 5*x + 5)*cos(2/3*arctan(2*sqrt(2) - 3)))*sin(2/3*arctan(2*sqrt(2) - 3)) + 108*sqrt(3)*(x - 1) - 144*sqrt(2)*(x - 1))/(144*(x - 1)*cos(2/3*arctan(2*sqrt(2) - 3))^4 - 120*(x - 1)*cos(2/3*arctan(2*sqrt(2) - 3))^2 + x - 1)) + 1/16*(18^(1/6)*4^(2/3)*sqrt(3)*sin(2/3*arctan(2*sqrt(2) - 3)) - 18^(1/6)*4^(2/3)*cos(2/3*arctan(2*sqrt(2) - 3)))*log(48*(18^(1/6)*4^(2/3)*(sqrt(3)*sqrt(2)*(x - 1) + 2*x - 2)*(x^2 - 2*x + 1)^(1/3)*cos(2/3*arctan(2*sqrt(2) - 3)) - 18^(1/6)*4^(2/3)*(x^2 - 2*x + 1)^(1/3)*(2*sqrt(3)*(x - 1) - sqrt(2)*(x - 1))*sin(2/3*arctan(2*sqrt(2) - 3)) + 2*18^(1/3)*4^(1/3)*(x^2 - 2*x + 1) + 12*(x^2 - 2*x + 1)^(2/3))/(x^2 - 2*x + 1)) - 1/16*(18^(1/6)*4^(2/3)*sqrt(3)*sin(2/3*arctan(2*sqrt(2) - 3)) + 18^(1/6)*4^(2/3)*cos(2/3*arctan(2*sqrt(2) - 3)))*log(-48*(18^(1/6)*4^(2/3)*(sqrt(3)*sqrt(2)*(x - 1) - 2*x + 2)*(x^2 - 2*x + 1)^(1/3)*cos(2/3*arctan(2*sqrt(2) - 3)) - 18^(1/6)*4^(2/3)*(x^2 - 2*x + 1)^(1/3)*(2*sqrt(3)*(x - 1) + sqrt(2)*(x - 1))*sin(2/3*arctan(2*sqrt(2) - 3)) - 2*18^(1/3)*4^(1/3)*(x^2 - 2*x + 1) - 12*(x^2 - 2*x + 1)^(2/3))/(x^2 - 2*x + 1))","B",0
794,1,1132,0,0.739802," ","integrate((x^2+2*x+1)^(1/3)/(x^2+3),x, algorithm=""fricas"")","\frac{1}{36} \cdot 36^{\frac{2}{3}} 12^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) \log\left(-\frac{144 \, {\left(36^{\frac{2}{3}} 12^{\frac{1}{6}} \sqrt{3} {\left(x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}} {\left(x + 1\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) + 3 \cdot 36^{\frac{2}{3}} 12^{\frac{1}{6}} {\left(x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}} {\left(x + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 3 \cdot 36^{\frac{1}{3}} 12^{\frac{1}{3}} {\left(x^{2} + 2 \, x + 1\right)} - 36 \, {\left(x^{2} + 2 \, x + 1\right)}^{\frac{2}{3}}\right)}}{x^{2} + 2 \, x + 1}\right) - \frac{1}{9} \cdot 36^{\frac{2}{3}} 12^{\frac{1}{6}} \arctan\left(-\frac{6 \cdot 36^{\frac{1}{3}} 12^{\frac{5}{6}} \sqrt{3} {\left(x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 18 \, {\left(24 \, {\left(x + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 36^{\frac{1}{3}} 12^{\frac{5}{6}} {\left(x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}}\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 108 \, \sqrt{3} {\left(x + 1\right)} - {\left(36^{\frac{1}{3}} 12^{\frac{5}{6}} \sqrt{3} {\left(x + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) + 3 \cdot 36^{\frac{1}{3}} 12^{\frac{5}{6}} {\left(x + 1\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)\right)} \sqrt{-\frac{36^{\frac{2}{3}} 12^{\frac{1}{6}} \sqrt{3} {\left(x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}} {\left(x + 1\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) + 3 \cdot 36^{\frac{2}{3}} 12^{\frac{1}{6}} {\left(x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}} {\left(x + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 3 \cdot 36^{\frac{1}{3}} 12^{\frac{1}{3}} {\left(x^{2} + 2 \, x + 1\right)} - 36 \, {\left(x^{2} + 2 \, x + 1\right)}^{\frac{2}{3}}}{x^{2} + 2 \, x + 1}}}{108 \, {\left(4 \, {\left(x + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{2} - 3 \, x - 3\right)}}\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - \frac{1}{18} \, {\left(36^{\frac{2}{3}} 12^{\frac{1}{6}} \sqrt{3} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) + 36^{\frac{2}{3}} 12^{\frac{1}{6}} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)\right)} \arctan\left(\frac{6 \cdot 36^{\frac{1}{3}} 12^{\frac{5}{6}} \sqrt{3} {\left(x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 18 \, {\left(24 \, {\left(x + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) + 36^{\frac{1}{3}} 12^{\frac{5}{6}} {\left(x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}}\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) + 108 \, \sqrt{3} {\left(x + 1\right)} - {\left(36^{\frac{1}{3}} 12^{\frac{5}{6}} \sqrt{3} {\left(x + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 3 \cdot 36^{\frac{1}{3}} 12^{\frac{5}{6}} {\left(x + 1\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)\right)} \sqrt{-\frac{36^{\frac{2}{3}} 12^{\frac{1}{6}} \sqrt{3} {\left(x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}} {\left(x + 1\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 3 \cdot 36^{\frac{2}{3}} 12^{\frac{1}{6}} {\left(x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}} {\left(x + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 3 \cdot 36^{\frac{1}{3}} 12^{\frac{1}{3}} {\left(x^{2} + 2 \, x + 1\right)} - 36 \, {\left(x^{2} + 2 \, x + 1\right)}^{\frac{2}{3}}}{x^{2} + 2 \, x + 1}}}{108 \, {\left(4 \, {\left(x + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{2} - 3 \, x - 3\right)}}\right) + \frac{1}{18} \, {\left(36^{\frac{2}{3}} 12^{\frac{1}{6}} \sqrt{3} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 36^{\frac{2}{3}} 12^{\frac{1}{6}} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)\right)} \arctan\left(\frac{36^{\frac{1}{3}} 12^{\frac{5}{6}} \sqrt{3} {\left(x + 1\right)} \sqrt{\frac{2 \cdot 36^{\frac{2}{3}} 12^{\frac{1}{6}} \sqrt{3} {\left(x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}} {\left(x + 1\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) + 3 \cdot 36^{\frac{1}{3}} 12^{\frac{1}{3}} {\left(x^{2} + 2 \, x + 1\right)} + 36 \, {\left(x^{2} + 2 \, x + 1\right)}^{\frac{2}{3}}}{x^{2} + 2 \, x + 1}} - 6 \cdot 36^{\frac{1}{3}} 12^{\frac{5}{6}} \sqrt{3} {\left(x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}} - 216 \, {\left(x + 1\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)}{216 \, {\left(x + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)}\right) - \frac{1}{72} \, {\left(36^{\frac{2}{3}} 12^{\frac{1}{6}} \sqrt{3} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) + 36^{\frac{2}{3}} 12^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)\right)} \log\left(\frac{576 \, {\left(2 \cdot 36^{\frac{2}{3}} 12^{\frac{1}{6}} \sqrt{3} {\left(x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}} {\left(x + 1\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) + 3 \cdot 36^{\frac{1}{3}} 12^{\frac{1}{3}} {\left(x^{2} + 2 \, x + 1\right)} + 36 \, {\left(x^{2} + 2 \, x + 1\right)}^{\frac{2}{3}}\right)}}{x^{2} + 2 \, x + 1}\right) + \frac{1}{72} \, {\left(36^{\frac{2}{3}} 12^{\frac{1}{6}} \sqrt{3} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 36^{\frac{2}{3}} 12^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)\right)} \log\left(-\frac{576 \, {\left(36^{\frac{2}{3}} 12^{\frac{1}{6}} \sqrt{3} {\left(x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}} {\left(x + 1\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 3 \cdot 36^{\frac{2}{3}} 12^{\frac{1}{6}} {\left(x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}} {\left(x + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 3 \cdot 36^{\frac{1}{3}} 12^{\frac{1}{3}} {\left(x^{2} + 2 \, x + 1\right)} - 36 \, {\left(x^{2} + 2 \, x + 1\right)}^{\frac{2}{3}}\right)}}{x^{2} + 2 \, x + 1}\right)"," ",0,"1/36*36^(2/3)*12^(1/6)*cos(2/3*arctan(sqrt(3) + 2))*log(-144*(36^(2/3)*12^(1/6)*sqrt(3)*(x^2 + 2*x + 1)^(1/3)*(x + 1)*sin(2/3*arctan(sqrt(3) + 2)) + 3*36^(2/3)*12^(1/6)*(x^2 + 2*x + 1)^(1/3)*(x + 1)*cos(2/3*arctan(sqrt(3) + 2)) - 3*36^(1/3)*12^(1/3)*(x^2 + 2*x + 1) - 36*(x^2 + 2*x + 1)^(2/3))/(x^2 + 2*x + 1)) - 1/9*36^(2/3)*12^(1/6)*arctan(-1/108*(6*36^(1/3)*12^(5/6)*sqrt(3)*(x^2 + 2*x + 1)^(1/3)*cos(2/3*arctan(sqrt(3) + 2)) - 18*(24*(x + 1)*cos(2/3*arctan(sqrt(3) + 2)) - 36^(1/3)*12^(5/6)*(x^2 + 2*x + 1)^(1/3))*sin(2/3*arctan(sqrt(3) + 2)) - 108*sqrt(3)*(x + 1) - (36^(1/3)*12^(5/6)*sqrt(3)*(x + 1)*cos(2/3*arctan(sqrt(3) + 2)) + 3*36^(1/3)*12^(5/6)*(x + 1)*sin(2/3*arctan(sqrt(3) + 2)))*sqrt(-(36^(2/3)*12^(1/6)*sqrt(3)*(x^2 + 2*x + 1)^(1/3)*(x + 1)*sin(2/3*arctan(sqrt(3) + 2)) + 3*36^(2/3)*12^(1/6)*(x^2 + 2*x + 1)^(1/3)*(x + 1)*cos(2/3*arctan(sqrt(3) + 2)) - 3*36^(1/3)*12^(1/3)*(x^2 + 2*x + 1) - 36*(x^2 + 2*x + 1)^(2/3))/(x^2 + 2*x + 1)))/(4*(x + 1)*cos(2/3*arctan(sqrt(3) + 2))^2 - 3*x - 3))*sin(2/3*arctan(sqrt(3) + 2)) - 1/18*(36^(2/3)*12^(1/6)*sqrt(3)*cos(2/3*arctan(sqrt(3) + 2)) + 36^(2/3)*12^(1/6)*sin(2/3*arctan(sqrt(3) + 2)))*arctan(1/108*(6*36^(1/3)*12^(5/6)*sqrt(3)*(x^2 + 2*x + 1)^(1/3)*cos(2/3*arctan(sqrt(3) + 2)) - 18*(24*(x + 1)*cos(2/3*arctan(sqrt(3) + 2)) + 36^(1/3)*12^(5/6)*(x^2 + 2*x + 1)^(1/3))*sin(2/3*arctan(sqrt(3) + 2)) + 108*sqrt(3)*(x + 1) - (36^(1/3)*12^(5/6)*sqrt(3)*(x + 1)*cos(2/3*arctan(sqrt(3) + 2)) - 3*36^(1/3)*12^(5/6)*(x + 1)*sin(2/3*arctan(sqrt(3) + 2)))*sqrt(-(36^(2/3)*12^(1/6)*sqrt(3)*(x^2 + 2*x + 1)^(1/3)*(x + 1)*sin(2/3*arctan(sqrt(3) + 2)) - 3*36^(2/3)*12^(1/6)*(x^2 + 2*x + 1)^(1/3)*(x + 1)*cos(2/3*arctan(sqrt(3) + 2)) - 3*36^(1/3)*12^(1/3)*(x^2 + 2*x + 1) - 36*(x^2 + 2*x + 1)^(2/3))/(x^2 + 2*x + 1)))/(4*(x + 1)*cos(2/3*arctan(sqrt(3) + 2))^2 - 3*x - 3)) + 1/18*(36^(2/3)*12^(1/6)*sqrt(3)*cos(2/3*arctan(sqrt(3) + 2)) - 36^(2/3)*12^(1/6)*sin(2/3*arctan(sqrt(3) + 2)))*arctan(1/216*(36^(1/3)*12^(5/6)*sqrt(3)*(x + 1)*sqrt((2*36^(2/3)*12^(1/6)*sqrt(3)*(x^2 + 2*x + 1)^(1/3)*(x + 1)*sin(2/3*arctan(sqrt(3) + 2)) + 3*36^(1/3)*12^(1/3)*(x^2 + 2*x + 1) + 36*(x^2 + 2*x + 1)^(2/3))/(x^2 + 2*x + 1)) - 6*36^(1/3)*12^(5/6)*sqrt(3)*(x^2 + 2*x + 1)^(1/3) - 216*(x + 1)*sin(2/3*arctan(sqrt(3) + 2)))/((x + 1)*cos(2/3*arctan(sqrt(3) + 2)))) - 1/72*(36^(2/3)*12^(1/6)*sqrt(3)*sin(2/3*arctan(sqrt(3) + 2)) + 36^(2/3)*12^(1/6)*cos(2/3*arctan(sqrt(3) + 2)))*log(576*(2*36^(2/3)*12^(1/6)*sqrt(3)*(x^2 + 2*x + 1)^(1/3)*(x + 1)*sin(2/3*arctan(sqrt(3) + 2)) + 3*36^(1/3)*12^(1/3)*(x^2 + 2*x + 1) + 36*(x^2 + 2*x + 1)^(2/3))/(x^2 + 2*x + 1)) + 1/72*(36^(2/3)*12^(1/6)*sqrt(3)*sin(2/3*arctan(sqrt(3) + 2)) - 36^(2/3)*12^(1/6)*cos(2/3*arctan(sqrt(3) + 2)))*log(-576*(36^(2/3)*12^(1/6)*sqrt(3)*(x^2 + 2*x + 1)^(1/3)*(x + 1)*sin(2/3*arctan(sqrt(3) + 2)) - 3*36^(2/3)*12^(1/6)*(x^2 + 2*x + 1)^(1/3)*(x + 1)*cos(2/3*arctan(sqrt(3) + 2)) - 3*36^(1/3)*12^(1/3)*(x^2 + 2*x + 1) - 36*(x^2 + 2*x + 1)^(2/3))/(x^2 + 2*x + 1))","B",0
795,1,332,0,6.234239," ","integrate(1/(-1+x)/(x^3+x)^(1/4),x, algorithm=""fricas"")","\frac{1}{4} \cdot 2^{\frac{3}{4}} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)} {\left(x^{3} + x\right)}^{\frac{1}{4}} + 16 \cdot 2^{\frac{1}{4}} {\left(x^{3} + x\right)}^{\frac{3}{4}} {\left(x + 1\right)} + 2^{\frac{3}{4}} {\left(4 \cdot 2^{\frac{3}{4}} \sqrt{x^{3} + x} {\left(x^{2} + 2 \, x + 1\right)} + 2^{\frac{1}{4}} {\left(x^{4} + 12 \, x^{3} + 6 \, x^{2} + 12 \, x + 1\right)}\right)}}{2 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}}\right) - \frac{1}{16} \cdot 2^{\frac{3}{4}} \log\left(\frac{2^{\frac{3}{4}} {\left(x^{4} + 12 \, x^{3} + 6 \, x^{2} + 12 \, x + 1\right)} + 4 \, \sqrt{2} {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)} {\left(x^{3} + x\right)}^{\frac{1}{4}} + 8 \cdot 2^{\frac{1}{4}} \sqrt{x^{3} + x} {\left(x^{2} + 2 \, x + 1\right)} + 16 \, {\left(x^{3} + x\right)}^{\frac{3}{4}} {\left(x + 1\right)}}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right) + \frac{1}{16} \cdot 2^{\frac{3}{4}} \log\left(-\frac{2^{\frac{3}{4}} {\left(x^{4} + 12 \, x^{3} + 6 \, x^{2} + 12 \, x + 1\right)} - 4 \, \sqrt{2} {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)} {\left(x^{3} + x\right)}^{\frac{1}{4}} + 8 \cdot 2^{\frac{1}{4}} \sqrt{x^{3} + x} {\left(x^{2} + 2 \, x + 1\right)} - 16 \, {\left(x^{3} + x\right)}^{\frac{3}{4}} {\left(x + 1\right)}}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right)"," ",0,"1/4*2^(3/4)*arctan(1/2*(4*2^(3/4)*(x^3 + 3*x^2 + 3*x + 1)*(x^3 + x)^(1/4) + 16*2^(1/4)*(x^3 + x)^(3/4)*(x + 1) + 2^(3/4)*(4*2^(3/4)*sqrt(x^3 + x)*(x^2 + 2*x + 1) + 2^(1/4)*(x^4 + 12*x^3 + 6*x^2 + 12*x + 1)))/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)) - 1/16*2^(3/4)*log((2^(3/4)*(x^4 + 12*x^3 + 6*x^2 + 12*x + 1) + 4*sqrt(2)*(x^3 + 3*x^2 + 3*x + 1)*(x^3 + x)^(1/4) + 8*2^(1/4)*sqrt(x^3 + x)*(x^2 + 2*x + 1) + 16*(x^3 + x)^(3/4)*(x + 1))/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)) + 1/16*2^(3/4)*log(-(2^(3/4)*(x^4 + 12*x^3 + 6*x^2 + 12*x + 1) - 4*sqrt(2)*(x^3 + 3*x^2 + 3*x + 1)*(x^3 + x)^(1/4) + 8*2^(1/4)*sqrt(x^3 + x)*(x^2 + 2*x + 1) - 16*(x^3 + x)^(3/4)*(x + 1))/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1))","B",0
796,1,141,0,0.501763," ","integrate((x^4-1)/(x^3+x)^(1/2)/(x^4+1),x, algorithm=""fricas"")","-\frac{1}{2} \cdot 2^{\frac{3}{4}} \arctan\left(\frac{2^{\frac{1}{4}} \sqrt{x^{3} + x}}{x^{2} + 1}\right) - \frac{1}{8} \cdot 2^{\frac{3}{4}} \log\left(\frac{x^{4} + 4 \, x^{2} + 2 \, \sqrt{2} {\left(x^{3} + x\right)} + 2 \, \sqrt{x^{3} + x} {\left(2^{\frac{3}{4}} x + 2^{\frac{1}{4}} {\left(x^{2} + 1\right)}\right)} + 1}{x^{4} + 1}\right) + \frac{1}{8} \cdot 2^{\frac{3}{4}} \log\left(\frac{x^{4} + 4 \, x^{2} + 2 \, \sqrt{2} {\left(x^{3} + x\right)} - 2 \, \sqrt{x^{3} + x} {\left(2^{\frac{3}{4}} x + 2^{\frac{1}{4}} {\left(x^{2} + 1\right)}\right)} + 1}{x^{4} + 1}\right)"," ",0,"-1/2*2^(3/4)*arctan(2^(1/4)*sqrt(x^3 + x)/(x^2 + 1)) - 1/8*2^(3/4)*log((x^4 + 4*x^2 + 2*sqrt(2)*(x^3 + x) + 2*sqrt(x^3 + x)*(2^(3/4)*x + 2^(1/4)*(x^2 + 1)) + 1)/(x^4 + 1)) + 1/8*2^(3/4)*log((x^4 + 4*x^2 + 2*sqrt(2)*(x^3 + x) - 2*sqrt(x^3 + x)*(2^(3/4)*x + 2^(1/4)*(x^2 + 1)) + 1)/(x^4 + 1))","B",0
797,1,90,0,0.529497," ","integrate((x^3+1)/(x^3-1)/(x^4+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{2} \log\left(-\frac{3 \, x^{4} - 4 \, x^{3} - 2 \, \sqrt{2} \sqrt{x^{4} + 1} {\left(x^{2} - x + 1\right)} + 6 \, x^{2} - 4 \, x + 3}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right) + \frac{2}{3} \, \arctan\left(\frac{\sqrt{x^{4} + 1}}{x^{2} + 2 \, x + 1}\right)"," ",0,"1/12*sqrt(2)*log(-(3*x^4 - 4*x^3 - 2*sqrt(2)*sqrt(x^4 + 1)*(x^2 - x + 1) + 6*x^2 - 4*x + 3)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)) + 2/3*arctan(sqrt(x^4 + 1)/(x^2 + 2*x + 1))","A",0
798,1,101,0,4.643224," ","integrate((-1+x)/x/(x^4+1)^(1/4),x, algorithm=""fricas"")","\frac{1}{2} \, \arctan\left(\frac{{\left(x^{4} + 1\right)}^{\frac{3}{4}} {\left(x + 1\right)} + {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(x^{2} + x\right)}}{x^{4} - x^{2} + 1}\right) + \frac{1}{2} \, \log\left(-\frac{x^{4} + x^{3} + {\left(x^{4} + 1\right)}^{\frac{3}{4}} {\left(x + 1\right)} + \sqrt{x^{4} + 1} {\left(x^{2} + x + 1\right)} + {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(x^{3} + x^{2} + x + 1\right)} + x + 1}{x^{2}}\right)"," ",0,"1/2*arctan(((x^4 + 1)^(3/4)*(x + 1) + (x^4 + 1)^(1/4)*(x^2 + x))/(x^4 - x^2 + 1)) + 1/2*log(-(x^4 + x^3 + (x^4 + 1)^(3/4)*(x + 1) + sqrt(x^4 + 1)*(x^2 + x + 1) + (x^4 + 1)^(1/4)*(x^3 + x^2 + x + 1) + x + 1)/x^2)","B",0
799,1,142,0,0.478043," ","integrate(x^2/(a*x^4-b)^(3/4),x, algorithm=""fricas"")","-\frac{1}{a^{3}}^{\frac{1}{4}} \arctan\left(\frac{a^{2} \sqrt{\frac{a^{2} \sqrt{\frac{1}{a^{3}}} x^{2} + \sqrt{a x^{4} - b}}{x^{2}}} \frac{1}{a^{3}}^{\frac{3}{4}} x - {\left(a x^{4} - b\right)}^{\frac{1}{4}} a^{2} \frac{1}{a^{3}}^{\frac{3}{4}}}{x}\right) + \frac{1}{4} \, \frac{1}{a^{3}}^{\frac{1}{4}} \log\left(\frac{a \frac{1}{a^{3}}^{\frac{1}{4}} x + {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{4} \, \frac{1}{a^{3}}^{\frac{1}{4}} \log\left(-\frac{a \frac{1}{a^{3}}^{\frac{1}{4}} x - {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-(a^(-3))^(1/4)*arctan((a^2*sqrt((a^2*sqrt(a^(-3))*x^2 + sqrt(a*x^4 - b))/x^2)*(a^(-3))^(3/4)*x - (a*x^4 - b)^(1/4)*a^2*(a^(-3))^(3/4))/x) + 1/4*(a^(-3))^(1/4)*log((a*(a^(-3))^(1/4)*x + (a*x^4 - b)^(1/4))/x) - 1/4*(a^(-3))^(1/4)*log(-(a*(a^(-3))^(1/4)*x - (a*x^4 - b)^(1/4))/x)","B",0
800,1,121,0,0.501467," ","integrate((x^4+6)*(x^5+x^4-2*x)^(1/2)/(x^4-2)/(x^4-x^3-2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \log\left(\frac{x^{8} + 14 \, x^{7} + 17 \, x^{6} - 4 \, x^{4} - 28 \, x^{3} - 4 \, \sqrt{2} {\left(x^{5} + 3 \, x^{4} - 2 \, x\right)} \sqrt{x^{5} + x^{4} - 2 \, x} + 4}{x^{8} - 2 \, x^{7} + x^{6} - 4 \, x^{4} + 4 \, x^{3} + 4}\right) + \log\left(\frac{x^{4} + 2 \, x^{3} + 2 \, \sqrt{x^{5} + x^{4} - 2 \, x} x - 2}{x^{4} - 2}\right)"," ",0,"1/2*sqrt(2)*log((x^8 + 14*x^7 + 17*x^6 - 4*x^4 - 28*x^3 - 4*sqrt(2)*(x^5 + 3*x^4 - 2*x)*sqrt(x^5 + x^4 - 2*x) + 4)/(x^8 - 2*x^7 + x^6 - 4*x^4 + 4*x^3 + 4)) + log((x^4 + 2*x^3 + 2*sqrt(x^5 + x^4 - 2*x)*x - 2)/(x^4 - 2))","B",0
801,-2,0,0,0.000000," ","integrate((x^2-3)*(x^3-x^2+1)^(2/3)/(x^6+x^5+x^4-x^3-2*x^2+1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
802,-2,0,0,0.000000," ","integrate((x^2-3)*(x^3-x^2+1)^(2/3)/(x^6+x^5+x^4-x^3-2*x^2+1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
803,1,45,0,0.461805," ","integrate((x^6-1)^(1/2)*(2*x^6-1)^2/x/(4*x^6-1),x, algorithm=""fricas"")","\frac{1}{36} \, {\left(4 \, x^{6} - 13\right)} \sqrt{x^{6} - 1} - \frac{1}{24} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} \sqrt{x^{6} - 1}\right) + \frac{1}{3} \, \arctan\left(\sqrt{x^{6} - 1}\right)"," ",0,"1/36*(4*x^6 - 13)*sqrt(x^6 - 1) - 1/24*sqrt(3)*arctan(2/3*sqrt(3)*sqrt(x^6 - 1)) + 1/3*arctan(sqrt(x^6 - 1))","A",0
804,-2,0,0,0.000000," ","integrate(1/(x^3+x)^(1/3)/(a*x^6+b),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
805,-2,0,0,0.000000," ","integrate(1/(x^3+x)^(1/3)/(a*x^6+b),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
806,-1,0,0,0.000000," ","integrate((a*x^4-b)/(a*x^4-2*x^2+b)/(a*x^6+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
807,-1,0,0,0.000000," ","integrate((x^5+4)*(x^10+x^8-2*x^5+1)^(1/2)/x^9,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
808,1,583,0,32.464112," ","integrate((x^6+1)*(x^6+x^3-1)^(2/3)/(x^12-x^6+1),x, algorithm=""fricas"")","\frac{1}{18} \cdot 4^{\frac{1}{6}} \sqrt{3} \left(-1\right)^{\frac{1}{3}} \arctan\left(\frac{4^{\frac{1}{6}} {\left(6 \cdot 4^{\frac{2}{3}} \sqrt{3} \left(-1\right)^{\frac{2}{3}} {\left(x^{31} - 14 \, x^{28} - 75 \, x^{25} + 82 \, x^{22} + 293 \, x^{19} - 132 \, x^{16} - 293 \, x^{13} + 82 \, x^{10} + 75 \, x^{7} - 14 \, x^{4} - x\right)} {\left(x^{6} + x^{3} - 1\right)}^{\frac{2}{3}} - 12 \, \sqrt{3} \left(-1\right)^{\frac{1}{3}} {\left(3 \, x^{32} + 49 \, x^{29} - 51 \, x^{26} - 344 \, x^{23} + 99 \, x^{20} + 609 \, x^{17} - 99 \, x^{14} - 344 \, x^{11} + 51 \, x^{8} + 49 \, x^{5} - 3 \, x^{2}\right)} {\left(x^{6} + x^{3} - 1\right)}^{\frac{1}{3}} + 4^{\frac{1}{3}} \sqrt{3} {\left(x^{36} + 54 \, x^{33} - 129 \, x^{30} - 846 \, x^{27} + 258 \, x^{24} + 2502 \, x^{21} - 169 \, x^{18} - 2502 \, x^{15} + 258 \, x^{12} + 846 \, x^{9} - 129 \, x^{6} - 54 \, x^{3} + 1\right)}\right)}}{6 \, {\left(x^{36} - 54 \, x^{33} - 489 \, x^{30} + 270 \, x^{27} + 2922 \, x^{24} - 54 \, x^{21} - 4921 \, x^{18} + 54 \, x^{15} + 2922 \, x^{12} - 270 \, x^{9} - 489 \, x^{6} + 54 \, x^{3} + 1\right)}}\right) + \frac{1}{36} \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(\frac{3 \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{7} + 4 \, x^{4} - x\right)} {\left(x^{6} + x^{3} - 1\right)}^{\frac{2}{3}} - 4^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{12} + 18 \, x^{9} + 17 \, x^{6} - 18 \, x^{3} + 1\right)} - 6 \, {\left(3 \, x^{8} + 5 \, x^{5} - 3 \, x^{2}\right)} {\left(x^{6} + x^{3} - 1\right)}^{\frac{1}{3}}}{x^{12} - x^{6} + 1}\right) - \frac{1}{72} \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(\frac{6 \cdot 4^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(3 \, x^{20} - 5 \, x^{17} - 12 \, x^{14} + 11 \, x^{11} + 12 \, x^{8} - 5 \, x^{5} - 3 \, x^{2}\right)} {\left(x^{6} + x^{3} - 1\right)}^{\frac{1}{3}} - 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{24} - 18 \, x^{21} - 2 \, x^{18} + 72 \, x^{15} + 3 \, x^{12} - 72 \, x^{9} - 2 \, x^{6} + 18 \, x^{3} + 1\right)} - 12 \, {\left(x^{19} - 5 \, x^{16} - 2 \, x^{13} + 11 \, x^{10} + 2 \, x^{7} - 5 \, x^{4} - x\right)} {\left(x^{6} + x^{3} - 1\right)}^{\frac{2}{3}}}{x^{24} - 2 \, x^{18} + 3 \, x^{12} - 2 \, x^{6} + 1}\right)"," ",0,"1/18*4^(1/6)*sqrt(3)*(-1)^(1/3)*arctan(1/6*4^(1/6)*(6*4^(2/3)*sqrt(3)*(-1)^(2/3)*(x^31 - 14*x^28 - 75*x^25 + 82*x^22 + 293*x^19 - 132*x^16 - 293*x^13 + 82*x^10 + 75*x^7 - 14*x^4 - x)*(x^6 + x^3 - 1)^(2/3) - 12*sqrt(3)*(-1)^(1/3)*(3*x^32 + 49*x^29 - 51*x^26 - 344*x^23 + 99*x^20 + 609*x^17 - 99*x^14 - 344*x^11 + 51*x^8 + 49*x^5 - 3*x^2)*(x^6 + x^3 - 1)^(1/3) + 4^(1/3)*sqrt(3)*(x^36 + 54*x^33 - 129*x^30 - 846*x^27 + 258*x^24 + 2502*x^21 - 169*x^18 - 2502*x^15 + 258*x^12 + 846*x^9 - 129*x^6 - 54*x^3 + 1))/(x^36 - 54*x^33 - 489*x^30 + 270*x^27 + 2922*x^24 - 54*x^21 - 4921*x^18 + 54*x^15 + 2922*x^12 - 270*x^9 - 489*x^6 + 54*x^3 + 1)) + 1/36*4^(2/3)*(-1)^(1/3)*log((3*4^(2/3)*(-1)^(1/3)*(x^7 + 4*x^4 - x)*(x^6 + x^3 - 1)^(2/3) - 4^(1/3)*(-1)^(2/3)*(x^12 + 18*x^9 + 17*x^6 - 18*x^3 + 1) - 6*(3*x^8 + 5*x^5 - 3*x^2)*(x^6 + x^3 - 1)^(1/3))/(x^12 - x^6 + 1)) - 1/72*4^(2/3)*(-1)^(1/3)*log((6*4^(1/3)*(-1)^(2/3)*(3*x^20 - 5*x^17 - 12*x^14 + 11*x^11 + 12*x^8 - 5*x^5 - 3*x^2)*(x^6 + x^3 - 1)^(1/3) - 4^(2/3)*(-1)^(1/3)*(x^24 - 18*x^21 - 2*x^18 + 72*x^15 + 3*x^12 - 72*x^9 - 2*x^6 + 18*x^3 + 1) - 12*(x^19 - 5*x^16 - 2*x^13 + 11*x^10 + 2*x^7 - 5*x^4 - x)*(x^6 + x^3 - 1)^(2/3))/(x^24 - 2*x^18 + 3*x^12 - 2*x^6 + 1))","B",0
809,1,583,0,33.073921," ","integrate((x^6+1)*(x^6+x^3-1)^(2/3)/(x^12-x^6+1),x, algorithm=""fricas"")","\frac{1}{18} \cdot 4^{\frac{1}{6}} \sqrt{3} \left(-1\right)^{\frac{1}{3}} \arctan\left(\frac{4^{\frac{1}{6}} {\left(6 \cdot 4^{\frac{2}{3}} \sqrt{3} \left(-1\right)^{\frac{2}{3}} {\left(x^{31} - 14 \, x^{28} - 75 \, x^{25} + 82 \, x^{22} + 293 \, x^{19} - 132 \, x^{16} - 293 \, x^{13} + 82 \, x^{10} + 75 \, x^{7} - 14 \, x^{4} - x\right)} {\left(x^{6} + x^{3} - 1\right)}^{\frac{2}{3}} - 12 \, \sqrt{3} \left(-1\right)^{\frac{1}{3}} {\left(3 \, x^{32} + 49 \, x^{29} - 51 \, x^{26} - 344 \, x^{23} + 99 \, x^{20} + 609 \, x^{17} - 99 \, x^{14} - 344 \, x^{11} + 51 \, x^{8} + 49 \, x^{5} - 3 \, x^{2}\right)} {\left(x^{6} + x^{3} - 1\right)}^{\frac{1}{3}} + 4^{\frac{1}{3}} \sqrt{3} {\left(x^{36} + 54 \, x^{33} - 129 \, x^{30} - 846 \, x^{27} + 258 \, x^{24} + 2502 \, x^{21} - 169 \, x^{18} - 2502 \, x^{15} + 258 \, x^{12} + 846 \, x^{9} - 129 \, x^{6} - 54 \, x^{3} + 1\right)}\right)}}{6 \, {\left(x^{36} - 54 \, x^{33} - 489 \, x^{30} + 270 \, x^{27} + 2922 \, x^{24} - 54 \, x^{21} - 4921 \, x^{18} + 54 \, x^{15} + 2922 \, x^{12} - 270 \, x^{9} - 489 \, x^{6} + 54 \, x^{3} + 1\right)}}\right) + \frac{1}{36} \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(\frac{3 \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{7} + 4 \, x^{4} - x\right)} {\left(x^{6} + x^{3} - 1\right)}^{\frac{2}{3}} - 4^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{12} + 18 \, x^{9} + 17 \, x^{6} - 18 \, x^{3} + 1\right)} - 6 \, {\left(3 \, x^{8} + 5 \, x^{5} - 3 \, x^{2}\right)} {\left(x^{6} + x^{3} - 1\right)}^{\frac{1}{3}}}{x^{12} - x^{6} + 1}\right) - \frac{1}{72} \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(\frac{6 \cdot 4^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(3 \, x^{20} - 5 \, x^{17} - 12 \, x^{14} + 11 \, x^{11} + 12 \, x^{8} - 5 \, x^{5} - 3 \, x^{2}\right)} {\left(x^{6} + x^{3} - 1\right)}^{\frac{1}{3}} - 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{24} - 18 \, x^{21} - 2 \, x^{18} + 72 \, x^{15} + 3 \, x^{12} - 72 \, x^{9} - 2 \, x^{6} + 18 \, x^{3} + 1\right)} - 12 \, {\left(x^{19} - 5 \, x^{16} - 2 \, x^{13} + 11 \, x^{10} + 2 \, x^{7} - 5 \, x^{4} - x\right)} {\left(x^{6} + x^{3} - 1\right)}^{\frac{2}{3}}}{x^{24} - 2 \, x^{18} + 3 \, x^{12} - 2 \, x^{6} + 1}\right)"," ",0,"1/18*4^(1/6)*sqrt(3)*(-1)^(1/3)*arctan(1/6*4^(1/6)*(6*4^(2/3)*sqrt(3)*(-1)^(2/3)*(x^31 - 14*x^28 - 75*x^25 + 82*x^22 + 293*x^19 - 132*x^16 - 293*x^13 + 82*x^10 + 75*x^7 - 14*x^4 - x)*(x^6 + x^3 - 1)^(2/3) - 12*sqrt(3)*(-1)^(1/3)*(3*x^32 + 49*x^29 - 51*x^26 - 344*x^23 + 99*x^20 + 609*x^17 - 99*x^14 - 344*x^11 + 51*x^8 + 49*x^5 - 3*x^2)*(x^6 + x^3 - 1)^(1/3) + 4^(1/3)*sqrt(3)*(x^36 + 54*x^33 - 129*x^30 - 846*x^27 + 258*x^24 + 2502*x^21 - 169*x^18 - 2502*x^15 + 258*x^12 + 846*x^9 - 129*x^6 - 54*x^3 + 1))/(x^36 - 54*x^33 - 489*x^30 + 270*x^27 + 2922*x^24 - 54*x^21 - 4921*x^18 + 54*x^15 + 2922*x^12 - 270*x^9 - 489*x^6 + 54*x^3 + 1)) + 1/36*4^(2/3)*(-1)^(1/3)*log((3*4^(2/3)*(-1)^(1/3)*(x^7 + 4*x^4 - x)*(x^6 + x^3 - 1)^(2/3) - 4^(1/3)*(-1)^(2/3)*(x^12 + 18*x^9 + 17*x^6 - 18*x^3 + 1) - 6*(3*x^8 + 5*x^5 - 3*x^2)*(x^6 + x^3 - 1)^(1/3))/(x^12 - x^6 + 1)) - 1/72*4^(2/3)*(-1)^(1/3)*log((6*4^(1/3)*(-1)^(2/3)*(3*x^20 - 5*x^17 - 12*x^14 + 11*x^11 + 12*x^8 - 5*x^5 - 3*x^2)*(x^6 + x^3 - 1)^(1/3) - 4^(2/3)*(-1)^(1/3)*(x^24 - 18*x^21 - 2*x^18 + 72*x^15 + 3*x^12 - 72*x^9 - 2*x^6 + 18*x^3 + 1) - 12*(x^19 - 5*x^16 - 2*x^13 + 11*x^10 + 2*x^7 - 5*x^4 - x)*(x^6 + x^3 - 1)^(2/3))/(x^24 - 2*x^18 + 3*x^12 - 2*x^6 + 1))","B",0
810,-2,0,0,0.000000," ","integrate((5*x^7-2)*(2*x^8+x^3+2*x)^(1/3)/(4*x^14+8*x^7+x^4+4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
811,-2,0,0,0.000000," ","integrate((5*x^7-2)*(2*x^8+x^3+2*x)^(1/3)/(4*x^14+8*x^7+x^4+4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
812,1,57,0,0.452578," ","integrate(1/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(a^{2} x^{2} - \sqrt{a^{2} x^{2} + b^{2}} a x - b^{2}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}{3 \, a b^{2}}"," ",0,"-2/3*(a^2*x^2 - sqrt(a^2*x^2 + b^2)*a*x - b^2)*sqrt(a*x + sqrt(a^2*x^2 + b^2))/(a*b^2)","A",0
813,1,75,0,0.473262," ","integrate(x^10*(x^4-1)^(1/4),x, algorithm=""fricas"")","\frac{1}{384} \, {\left(32 \, x^{11} - 4 \, x^{7} - 7 \, x^{3}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} - \frac{7}{256} \, \arctan\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{7}{512} \, \log\left(\frac{x + {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{7}{512} \, \log\left(-\frac{x - {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"1/384*(32*x^11 - 4*x^7 - 7*x^3)*(x^4 - 1)^(1/4) - 7/256*arctan((x^4 - 1)^(1/4)/x) - 7/512*log((x + (x^4 - 1)^(1/4))/x) + 7/512*log(-(x - (x^4 - 1)^(1/4))/x)","A",0
814,1,75,0,0.456436," ","integrate(x^10*(x^4+1)^(1/4),x, algorithm=""fricas"")","\frac{1}{384} \, {\left(32 \, x^{11} + 4 \, x^{7} - 7 \, x^{3}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}} + \frac{7}{256} \, \arctan\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{7}{512} \, \log\left(\frac{x + {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{7}{512} \, \log\left(-\frac{x - {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"1/384*(32*x^11 + 4*x^7 - 7*x^3)*(x^4 + 1)^(1/4) + 7/256*arctan((x^4 + 1)^(1/4)/x) + 7/512*log((x + (x^4 + 1)^(1/4))/x) - 7/512*log(-(x - (x^4 + 1)^(1/4))/x)","A",0
815,-1,0,0,0.000000," ","integrate((x^2+1)/(x^4-x^2+1)/(x^4+x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
816,-1,0,0,0.000000," ","integrate(1/(a*x^4-b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
817,-1,0,0,0.000000," ","integrate(1/(a*x^4-b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
818,1,148,0,2.455633," ","integrate((-x^2+1)/x/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{8 \, a^{2} x^{4} + 8 \, a b x^{3} + 8 \, a b x + {\left(8 \, a^{2} + b^{2} + 4 \, a c\right)} x^{2} - 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(2 \, a x^{2} + b x + 2 \, a\right)} \sqrt{a} + 8 \, a^{2}}{x^{2}}\right)}{2 \, \sqrt{a}}, \frac{\sqrt{-a} \arctan\left(\frac{2 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} \sqrt{-a}}{2 \, a x^{2} + b x + 2 \, a}\right)}{a}\right]"," ",0,"[1/2*log((8*a^2*x^4 + 8*a*b*x^3 + 8*a*b*x + (8*a^2 + b^2 + 4*a*c)*x^2 - 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(2*a*x^2 + b*x + 2*a)*sqrt(a) + 8*a^2)/x^2)/sqrt(a), sqrt(-a)*arctan(2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*sqrt(-a)/(2*a*x^2 + b*x + 2*a))/a]","A",0
819,1,231,0,0.911796," ","integrate(x^2*(3*x^4-1)/(x^4+1)^2/(a*x^4+a-x)/(x^5+x)^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(a x^{8} + 2 \, a x^{4} + a\right)} \sqrt{a} \log\left(\frac{a^{2} x^{8} + 2 \, a^{2} x^{4} + 6 \, a x^{5} - 4 \, {\left(a x^{4} + a + x\right)} \sqrt{x^{5} + x} \sqrt{a} + a^{2} + 6 \, a x + x^{2}}{a^{2} x^{8} + 2 \, a^{2} x^{4} - 2 \, a x^{5} + a^{2} - 2 \, a x + x^{2}}\right) + 4 \, {\left(3 \, a x^{4} + 3 \, a + x\right)} \sqrt{x^{5} + x}}{6 \, {\left(x^{8} + 2 \, x^{4} + 1\right)}}, \frac{3 \, {\left(a x^{8} + 2 \, a x^{4} + a\right)} \sqrt{-a} \arctan\left(\frac{{\left(a x^{4} + a + x\right)} \sqrt{x^{5} + x} \sqrt{-a}}{2 \, {\left(a x^{5} + a x\right)}}\right) + 2 \, {\left(3 \, a x^{4} + 3 \, a + x\right)} \sqrt{x^{5} + x}}{3 \, {\left(x^{8} + 2 \, x^{4} + 1\right)}}\right]"," ",0,"[1/6*(3*(a*x^8 + 2*a*x^4 + a)*sqrt(a)*log((a^2*x^8 + 2*a^2*x^4 + 6*a*x^5 - 4*(a*x^4 + a + x)*sqrt(x^5 + x)*sqrt(a) + a^2 + 6*a*x + x^2)/(a^2*x^8 + 2*a^2*x^4 - 2*a*x^5 + a^2 - 2*a*x + x^2)) + 4*(3*a*x^4 + 3*a + x)*sqrt(x^5 + x))/(x^8 + 2*x^4 + 1), 1/3*(3*(a*x^8 + 2*a*x^4 + a)*sqrt(-a)*arctan(1/2*(a*x^4 + a + x)*sqrt(x^5 + x)*sqrt(-a)/(a*x^5 + a*x)) + 2*(3*a*x^4 + 3*a + x)*sqrt(x^5 + x))/(x^8 + 2*x^4 + 1)]","A",0
820,1,118,0,40.657385," ","integrate((x^4-3)*(x^8-x^7-x^6+2*x^4-x^3+1)/x^6/(x^4-x^3+1)/(x^5+x)^(1/4),x, algorithm=""fricas"")","\frac{7 \, x^{6} \arctan\left(\frac{{\left(x^{5} + x\right)}^{\frac{3}{4}} x - {\left(x^{5} + x\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)}}{2 \, {\left(x^{5} + x\right)}}\right) + 7 \, x^{6} \log\left(-\frac{x^{4} + x^{3} + 2 \, {\left(x^{5} + x\right)}^{\frac{1}{4}} x^{2} + 2 \, \sqrt{x^{5} + x} x + 2 \, {\left(x^{5} + x\right)}^{\frac{3}{4}} + 1}{x^{4} - x^{3} + 1}\right) + 4 \, {\left(x^{5} + x\right)}^{\frac{3}{4}} {\left(x^{4} + 1\right)}}{7 \, x^{6}}"," ",0,"1/7*(7*x^6*arctan(1/2*((x^5 + x)^(3/4)*x - (x^5 + x)^(1/4)*(x^4 + 1))/(x^5 + x)) + 7*x^6*log(-(x^4 + x^3 + 2*(x^5 + x)^(1/4)*x^2 + 2*sqrt(x^5 + x)*x + 2*(x^5 + x)^(3/4) + 1)/(x^4 - x^3 + 1)) + 4*(x^5 + x)^(3/4)*(x^4 + 1))/x^6","B",0
821,1,38,0,0.449636," ","integrate((x^2+1)/(1+(1+x)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{4}{3465} \, {\left(350 \, x^{2} - {\left(315 \, x^{2} + 40 \, x + 1091\right)} \sqrt{x + 1} - 8 \, x + 2374\right)} \sqrt{\sqrt{x + 1} + 1}"," ",0,"-4/3465*(350*x^2 - (315*x^2 + 40*x + 1091)*sqrt(x + 1) - 8*x + 2374)*sqrt(sqrt(x + 1) + 1)","A",0
822,1,47,0,0.543099," ","integrate((-1+2*x)/(1+x)/(-a^2*x^2+(1+x)^6)^(1/2),x, algorithm=""fricas"")","\frac{\arctan\left(\frac{\sqrt{x^{6} + 6 \, x^{5} + 15 \, x^{4} - {\left(a^{2} - 15\right)} x^{2} + 20 \, x^{3} + 6 \, x + 1}}{a x}\right)}{a}"," ",0,"arctan(sqrt(x^6 + 6*x^5 + 15*x^4 - (a^2 - 15)*x^2 + 20*x^3 + 6*x + 1)/(a*x))/a","A",0
823,1,56,0,0.465149," ","integrate(x/(a^2*x^2-b)^(1/2)/(a*x+(a^2*x^2-b)^(1/2))^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(3 \, a^{2} x^{2} - 3 \, \sqrt{a^{2} x^{2} - b} a x - 4 \, b\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}}}{15 \, a^{2} b}"," ",0,"-4/15*(3*a^2*x^2 - 3*sqrt(a^2*x^2 - b)*a*x - 4*b)*(a*x + sqrt(a^2*x^2 - b))^(3/4)/(a^2*b)","A",0
824,1,44,0,0.449512," ","integrate((a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, a x - \sqrt{a^{2} x^{2} + b^{2}}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}{3 \, a}"," ",0,"2/3*(2*a*x - sqrt(a^2*x^2 + b^2))*sqrt(a*x + sqrt(a^2*x^2 + b^2))/a","A",0
825,1,102,0,1.595760," ","integrate(1/(1+x^(1/2))/(-x^(1/2)+x)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \log\left(-\frac{17 \, x^{2} - 4 \, {\left(\sqrt{2} {\left(3 \, x + 5\right)} \sqrt{x} - \sqrt{2} {\left(7 \, x + 1\right)}\right)} \sqrt{x - \sqrt{x}} - 16 \, {\left(3 \, x + 1\right)} \sqrt{x} + 46 \, x + 1}{x^{2} - 2 \, x + 1}\right) + \log\left(-4 \, \sqrt{x - \sqrt{x}} {\left(2 \, \sqrt{x} - 1\right)} - 8 \, x + 8 \, \sqrt{x} - 1\right)"," ",0,"1/2*sqrt(2)*log(-(17*x^2 - 4*(sqrt(2)*(3*x + 5)*sqrt(x) - sqrt(2)*(7*x + 1))*sqrt(x - sqrt(x)) - 16*(3*x + 1)*sqrt(x) + 46*x + 1)/(x^2 - 2*x + 1)) + log(-4*sqrt(x - sqrt(x))*(2*sqrt(x) - 1) - 8*x + 8*sqrt(x) - 1)","B",0
826,1,89,0,0.499690," ","integrate(x/(x^2-1)/(x^3+x^2+x)^(1/2),x, algorithm=""fricas"")","\frac{1}{24} \, \sqrt{3} \log\left(\frac{x^{4} + 20 \, x^{3} - 4 \, \sqrt{3} \sqrt{x^{3} + x^{2} + x} {\left(x^{2} + 4 \, x + 1\right)} + 30 \, x^{2} + 20 \, x + 1}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right) - \frac{1}{4} \, \arctan\left(\frac{x^{2} + 1}{2 \, \sqrt{x^{3} + x^{2} + x}}\right)"," ",0,"1/24*sqrt(3)*log((x^4 + 20*x^3 - 4*sqrt(3)*sqrt(x^3 + x^2 + x)*(x^2 + 4*x + 1) + 30*x^2 + 20*x + 1)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)) - 1/4*arctan(1/2*(x^2 + 1)/sqrt(x^3 + x^2 + x))","A",0
827,-1,0,0,0.000000," ","integrate((-a*b*c+2*a*(b+c)*x-(3*a+b+c)*x^2+2*x^3)/(x*(-a+x)*(-b+x)*(-c+x))^(1/2)/(a*d+(b*c-d)*x-(b+c)*x^2+x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
828,1,154,0,0.486545," ","integrate((a*x^3+3*b)/x/(a*x^3-b)/(a*x^3+b)^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{2} \sqrt{b} \log\left(\frac{a x^{3} - 2 \, \sqrt{2} \sqrt{a x^{3} + b} \sqrt{b} + 3 \, b}{a x^{3} - b}\right) + 3 \, \sqrt{b} \log\left(\frac{a x^{3} + 2 \, \sqrt{a x^{3} + b} \sqrt{b} + 2 \, b}{x^{3}}\right)}{3 \, b}, \frac{2 \, {\left(2 \, \sqrt{2} b \sqrt{-\frac{1}{b}} \arctan\left(\frac{\sqrt{2} b \sqrt{-\frac{1}{b}}}{\sqrt{a x^{3} + b}}\right) - 3 \, \sqrt{-b} \arctan\left(\frac{\sqrt{a x^{3} + b} \sqrt{-b}}{b}\right)\right)}}{3 \, b}\right]"," ",0,"[1/3*(2*sqrt(2)*sqrt(b)*log((a*x^3 - 2*sqrt(2)*sqrt(a*x^3 + b)*sqrt(b) + 3*b)/(a*x^3 - b)) + 3*sqrt(b)*log((a*x^3 + 2*sqrt(a*x^3 + b)*sqrt(b) + 2*b)/x^3))/b, 2/3*(2*sqrt(2)*b*sqrt(-1/b)*arctan(sqrt(2)*b*sqrt(-1/b)/sqrt(a*x^3 + b)) - 3*sqrt(-b)*arctan(sqrt(a*x^3 + b)*sqrt(-b)/b))/b]","A",0
829,1,293,0,0.886228," ","integrate((-a*x^3+2*c)*(a*x^3+b*x^2+c)^(1/2)/(c+(-3+b)*x^2+a*x^3)/(c+(-2+b)*x^2+a*x^3),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \log\left(\frac{a^{2} x^{6} + 2 \, {\left(a b + 6 \, a\right)} x^{5} + 2 \, a c x^{3} + {\left(b^{2} + 12 \, b + 4\right)} x^{4} + 2 \, {\left(b + 6\right)} c x^{2} - 4 \, \sqrt{2} {\left(a x^{4} + {\left(b + 2\right)} x^{3} + c x\right)} \sqrt{a x^{3} + b x^{2} + c} + c^{2}}{a^{2} x^{6} + 2 \, {\left(a b - 2 \, a\right)} x^{5} + 2 \, a c x^{3} + {\left(b^{2} - 4 \, b + 4\right)} x^{4} + 2 \, {\left(b - 2\right)} c x^{2} + c^{2}}\right) + \frac{1}{2} \, \sqrt{3} \log\left(\frac{a^{2} x^{6} + 2 \, {\left(a b + 9 \, a\right)} x^{5} + 2 \, a c x^{3} + {\left(b^{2} + 18 \, b + 9\right)} x^{4} + 2 \, {\left(b + 9\right)} c x^{2} + 4 \, \sqrt{3} {\left(a x^{4} + {\left(b + 3\right)} x^{3} + c x\right)} \sqrt{a x^{3} + b x^{2} + c} + c^{2}}{a^{2} x^{6} + 2 \, {\left(a b - 3 \, a\right)} x^{5} + 2 \, a c x^{3} + {\left(b^{2} - 6 \, b + 9\right)} x^{4} + 2 \, {\left(b - 3\right)} c x^{2} + c^{2}}\right)"," ",0,"1/2*sqrt(2)*log((a^2*x^6 + 2*(a*b + 6*a)*x^5 + 2*a*c*x^3 + (b^2 + 12*b + 4)*x^4 + 2*(b + 6)*c*x^2 - 4*sqrt(2)*(a*x^4 + (b + 2)*x^3 + c*x)*sqrt(a*x^3 + b*x^2 + c) + c^2)/(a^2*x^6 + 2*(a*b - 2*a)*x^5 + 2*a*c*x^3 + (b^2 - 4*b + 4)*x^4 + 2*(b - 2)*c*x^2 + c^2)) + 1/2*sqrt(3)*log((a^2*x^6 + 2*(a*b + 9*a)*x^5 + 2*a*c*x^3 + (b^2 + 18*b + 9)*x^4 + 2*(b + 9)*c*x^2 + 4*sqrt(3)*(a*x^4 + (b + 3)*x^3 + c*x)*sqrt(a*x^3 + b*x^2 + c) + c^2)/(a^2*x^6 + 2*(a*b - 3*a)*x^5 + 2*a*c*x^3 + (b^2 - 6*b + 9)*x^4 + 2*(b - 3)*c*x^2 + c^2))","B",0
830,-1,0,0,0.000000," ","integrate((-a*b*c+2*a*(b+c)*x-(3*a+b+c)*x^2+2*x^3)/(x*(-a+x)*(-b+x)*(-c+x))^(1/2)/(a+(b*c*d-1)*x-(b+c)*d*x^2+d*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
831,1,88,0,0.752865," ","integrate((x^3-1)/(x^3+1)/(x^4+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{2} \log\left(-\frac{3 \, x^{4} + 4 \, x^{3} + 2 \, \sqrt{2} \sqrt{x^{4} + 1} {\left(x^{2} + x + 1\right)} + 6 \, x^{2} + 4 \, x + 3}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right) - \frac{2}{3} \, \arctan\left(\frac{\sqrt{x^{4} + 1}}{x^{2} - 2 \, x + 1}\right)"," ",0,"1/12*sqrt(2)*log(-(3*x^4 + 4*x^3 + 2*sqrt(2)*sqrt(x^4 + 1)*(x^2 + x + 1) + 6*x^2 + 4*x + 3)/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1)) - 2/3*arctan(sqrt(x^4 + 1)/(x^2 - 2*x + 1))","A",0
832,1,99,0,2.067413," ","integrate(x^4*(x^4-x)^(1/4),x, algorithm=""fricas"")","\frac{1}{24} \, {\left(4 \, x^{5} - x^{2}\right)} {\left(x^{4} - x\right)}^{\frac{1}{4}} - \frac{1}{32} \, \arctan\left(2 \, {\left(x^{4} - x\right)}^{\frac{1}{4}} x^{2} + 2 \, {\left(x^{4} - x\right)}^{\frac{3}{4}}\right) + \frac{1}{32} \, \log\left(2 \, x^{3} - 2 \, {\left(x^{4} - x\right)}^{\frac{1}{4}} x^{2} + 2 \, \sqrt{x^{4} - x} x - 2 \, {\left(x^{4} - x\right)}^{\frac{3}{4}} - 1\right)"," ",0,"1/24*(4*x^5 - x^2)*(x^4 - x)^(1/4) - 1/32*arctan(2*(x^4 - x)^(1/4)*x^2 + 2*(x^4 - x)^(3/4)) + 1/32*log(2*x^3 - 2*(x^4 - x)^(1/4)*x^2 + 2*sqrt(x^4 - x)*x - 2*(x^4 - x)^(3/4) - 1)","A",0
833,1,80,0,0.677083," ","integrate((x^4-x^3)^(1/4),x, algorithm=""fricas"")","\frac{1}{8} \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(4 \, x - 1\right)} - \frac{3}{16} \, \arctan\left(\frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{3}{32} \, \log\left(\frac{x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{3}{32} \, \log\left(-\frac{x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"1/8*(x^4 - x^3)^(1/4)*(4*x - 1) - 3/16*arctan((x^4 - x^3)^(1/4)/x) - 3/32*log((x + (x^4 - x^3)^(1/4))/x) + 3/32*log(-(x - (x^4 - x^3)^(1/4))/x)","A",0
834,1,75,0,0.787958," ","integrate((-x^4-x^3+2)^(1/2)*(2*x^4+x^3+4)/(x^4+x^3-3*x^2-2)/(x^4+x^3-x^2-2),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{2 \, \sqrt{3} \sqrt{-x^{4} - x^{3} + 2} x}{x^{4} + x^{3} + 3 \, x^{2} - 2}\right) + \frac{1}{2} \, \arctan\left(\frac{2 \, \sqrt{-x^{4} - x^{3} + 2} x}{x^{4} + x^{3} + x^{2} - 2}\right)"," ",0,"-1/2*sqrt(3)*arctan(2*sqrt(3)*sqrt(-x^4 - x^3 + 2)*x/(x^4 + x^3 + 3*x^2 - 2)) + 1/2*arctan(2*sqrt(-x^4 - x^3 + 2)*x/(x^4 + x^3 + x^2 - 2))","A",0
835,1,1918,0,0.582584," ","integrate((a*x^4+b*x^3)^(1/4)/x/(a*x+x^2+b),x, algorithm=""fricas"")","2 \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{a + \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(a^{4} - 8 \, a^{2} b + 16 \, b^{2} - \frac{a^{7} - 12 \, a^{5} b + 48 \, a^{3} b^{2} - 64 \, a b^{3}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}\right)} \sqrt{\frac{a + \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}} - {\left({\left(a^{4} - 8 \, a^{2} b + 16 \, b^{2}\right)} x - \frac{{\left(a^{7} - 12 \, a^{5} b + 48 \, a^{3} b^{2} - 64 \, a b^{3}\right)} x}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}\right)} \sqrt{\frac{a + \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}} \sqrt{\frac{\sqrt{2} {\left(a^{2} - 4 \, b\right)} x^{2} \sqrt{\frac{a + \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}} + 2 \, \sqrt{a x^{4} + b x^{3}}}{x^{2}}}\right)} \sqrt{\sqrt{2} \sqrt{\frac{a + \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}}}}{8 \, b x}\right) - 2 \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{a - \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(a^{4} - 8 \, a^{2} b + 16 \, b^{2} + \frac{a^{7} - 12 \, a^{5} b + 48 \, a^{3} b^{2} - 64 \, a b^{3}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}\right)} \sqrt{\frac{a - \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}} - {\left({\left(a^{4} - 8 \, a^{2} b + 16 \, b^{2}\right)} x + \frac{{\left(a^{7} - 12 \, a^{5} b + 48 \, a^{3} b^{2} - 64 \, a b^{3}\right)} x}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}\right)} \sqrt{\frac{a - \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}} \sqrt{\frac{\sqrt{2} {\left(a^{2} - 4 \, b\right)} x^{2} \sqrt{\frac{a - \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}} + 2 \, \sqrt{a x^{4} + b x^{3}}}{x^{2}}}\right)} \sqrt{\sqrt{2} \sqrt{\frac{a - \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}}}}{8 \, b x}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{a + \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(\frac{\frac{\sqrt{2} {\left(a^{4} - 8 \, a^{2} b + 16 \, b^{2}\right)} x \sqrt{\sqrt{2} \sqrt{\frac{a + \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}}}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}} + 2 \, {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{a + \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(-\frac{\frac{\sqrt{2} {\left(a^{4} - 8 \, a^{2} b + 16 \, b^{2}\right)} x \sqrt{\sqrt{2} \sqrt{\frac{a + \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}}}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}} - 2 \, {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{a - \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(\frac{\frac{\sqrt{2} {\left(a^{4} - 8 \, a^{2} b + 16 \, b^{2}\right)} x \sqrt{\sqrt{2} \sqrt{\frac{a - \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}}}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}} + 2 \, {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{a - \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(-\frac{\frac{\sqrt{2} {\left(a^{4} - 8 \, a^{2} b + 16 \, b^{2}\right)} x \sqrt{\sqrt{2} \sqrt{\frac{a - \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}}}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}} - 2 \, {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"2*sqrt(2)*sqrt(sqrt(2)*sqrt((a + (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)))*arctan(-1/8*sqrt(2)*(sqrt(2)*(a*x^4 + b*x^3)^(1/4)*(a^4 - 8*a^2*b + 16*b^2 - (a^7 - 12*a^5*b + 48*a^3*b^2 - 64*a*b^3)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))*sqrt((a + (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)) - ((a^4 - 8*a^2*b + 16*b^2)*x - (a^7 - 12*a^5*b + 48*a^3*b^2 - 64*a*b^3)*x/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))*sqrt((a + (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2))*sqrt((sqrt(2)*(a^2 - 4*b)*x^2*sqrt((a + (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)) + 2*sqrt(a*x^4 + b*x^3))/x^2))*sqrt(sqrt(2)*sqrt((a + (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)))/(b*x)) - 2*sqrt(2)*sqrt(sqrt(2)*sqrt((a - (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)))*arctan(1/8*sqrt(2)*(sqrt(2)*(a*x^4 + b*x^3)^(1/4)*(a^4 - 8*a^2*b + 16*b^2 + (a^7 - 12*a^5*b + 48*a^3*b^2 - 64*a*b^3)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))*sqrt((a - (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)) - ((a^4 - 8*a^2*b + 16*b^2)*x + (a^7 - 12*a^5*b + 48*a^3*b^2 - 64*a*b^3)*x/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))*sqrt((a - (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2))*sqrt((sqrt(2)*(a^2 - 4*b)*x^2*sqrt((a - (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)) + 2*sqrt(a*x^4 + b*x^3))/x^2))*sqrt(sqrt(2)*sqrt((a - (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)))/(b*x)) + 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((a + (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)))*log((sqrt(2)*(a^4 - 8*a^2*b + 16*b^2)*x*sqrt(sqrt(2)*sqrt((a + (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)))/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3) + 2*(a*x^4 + b*x^3)^(1/4))/x) - 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((a + (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)))*log(-(sqrt(2)*(a^4 - 8*a^2*b + 16*b^2)*x*sqrt(sqrt(2)*sqrt((a + (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)))/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3) - 2*(a*x^4 + b*x^3)^(1/4))/x) - 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((a - (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)))*log((sqrt(2)*(a^4 - 8*a^2*b + 16*b^2)*x*sqrt(sqrt(2)*sqrt((a - (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)))/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3) + 2*(a*x^4 + b*x^3)^(1/4))/x) + 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((a - (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)))*log(-(sqrt(2)*(a^4 - 8*a^2*b + 16*b^2)*x*sqrt(sqrt(2)*sqrt((a - (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)))/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3) - 2*(a*x^4 + b*x^3)^(1/4))/x)","B",0
836,1,1918,0,0.547186," ","integrate((a*x^4+b*x^3)^(1/4)/x/(a*x+x^2+b),x, algorithm=""fricas"")","2 \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{a + \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(a^{4} - 8 \, a^{2} b + 16 \, b^{2} - \frac{a^{7} - 12 \, a^{5} b + 48 \, a^{3} b^{2} - 64 \, a b^{3}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}\right)} \sqrt{\frac{a + \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}} - {\left({\left(a^{4} - 8 \, a^{2} b + 16 \, b^{2}\right)} x - \frac{{\left(a^{7} - 12 \, a^{5} b + 48 \, a^{3} b^{2} - 64 \, a b^{3}\right)} x}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}\right)} \sqrt{\frac{a + \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}} \sqrt{\frac{\sqrt{2} {\left(a^{2} - 4 \, b\right)} x^{2} \sqrt{\frac{a + \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}} + 2 \, \sqrt{a x^{4} + b x^{3}}}{x^{2}}}\right)} \sqrt{\sqrt{2} \sqrt{\frac{a + \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}}}}{8 \, b x}\right) - 2 \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{a - \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(a^{4} - 8 \, a^{2} b + 16 \, b^{2} + \frac{a^{7} - 12 \, a^{5} b + 48 \, a^{3} b^{2} - 64 \, a b^{3}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}\right)} \sqrt{\frac{a - \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}} - {\left({\left(a^{4} - 8 \, a^{2} b + 16 \, b^{2}\right)} x + \frac{{\left(a^{7} - 12 \, a^{5} b + 48 \, a^{3} b^{2} - 64 \, a b^{3}\right)} x}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}\right)} \sqrt{\frac{a - \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}} \sqrt{\frac{\sqrt{2} {\left(a^{2} - 4 \, b\right)} x^{2} \sqrt{\frac{a - \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}} + 2 \, \sqrt{a x^{4} + b x^{3}}}{x^{2}}}\right)} \sqrt{\sqrt{2} \sqrt{\frac{a - \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}}}}{8 \, b x}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{a + \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(\frac{\frac{\sqrt{2} {\left(a^{4} - 8 \, a^{2} b + 16 \, b^{2}\right)} x \sqrt{\sqrt{2} \sqrt{\frac{a + \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}}}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}} + 2 \, {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{a + \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(-\frac{\frac{\sqrt{2} {\left(a^{4} - 8 \, a^{2} b + 16 \, b^{2}\right)} x \sqrt{\sqrt{2} \sqrt{\frac{a + \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}}}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}} - 2 \, {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{a - \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(\frac{\frac{\sqrt{2} {\left(a^{4} - 8 \, a^{2} b + 16 \, b^{2}\right)} x \sqrt{\sqrt{2} \sqrt{\frac{a - \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}}}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}} + 2 \, {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{a - \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(-\frac{\frac{\sqrt{2} {\left(a^{4} - 8 \, a^{2} b + 16 \, b^{2}\right)} x \sqrt{\sqrt{2} \sqrt{\frac{a - \frac{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{a^{4} - 8 \, a^{2} b + 16 \, b^{2}}}}}{\sqrt{a^{6} - 12 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}} - 2 \, {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"2*sqrt(2)*sqrt(sqrt(2)*sqrt((a + (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)))*arctan(-1/8*sqrt(2)*(sqrt(2)*(a*x^4 + b*x^3)^(1/4)*(a^4 - 8*a^2*b + 16*b^2 - (a^7 - 12*a^5*b + 48*a^3*b^2 - 64*a*b^3)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))*sqrt((a + (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)) - ((a^4 - 8*a^2*b + 16*b^2)*x - (a^7 - 12*a^5*b + 48*a^3*b^2 - 64*a*b^3)*x/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))*sqrt((a + (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2))*sqrt((sqrt(2)*(a^2 - 4*b)*x^2*sqrt((a + (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)) + 2*sqrt(a*x^4 + b*x^3))/x^2))*sqrt(sqrt(2)*sqrt((a + (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)))/(b*x)) - 2*sqrt(2)*sqrt(sqrt(2)*sqrt((a - (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)))*arctan(1/8*sqrt(2)*(sqrt(2)*(a*x^4 + b*x^3)^(1/4)*(a^4 - 8*a^2*b + 16*b^2 + (a^7 - 12*a^5*b + 48*a^3*b^2 - 64*a*b^3)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))*sqrt((a - (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)) - ((a^4 - 8*a^2*b + 16*b^2)*x + (a^7 - 12*a^5*b + 48*a^3*b^2 - 64*a*b^3)*x/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))*sqrt((a - (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2))*sqrt((sqrt(2)*(a^2 - 4*b)*x^2*sqrt((a - (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)) + 2*sqrt(a*x^4 + b*x^3))/x^2))*sqrt(sqrt(2)*sqrt((a - (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)))/(b*x)) + 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((a + (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)))*log((sqrt(2)*(a^4 - 8*a^2*b + 16*b^2)*x*sqrt(sqrt(2)*sqrt((a + (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)))/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3) + 2*(a*x^4 + b*x^3)^(1/4))/x) - 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((a + (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)))*log(-(sqrt(2)*(a^4 - 8*a^2*b + 16*b^2)*x*sqrt(sqrt(2)*sqrt((a + (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)))/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3) - 2*(a*x^4 + b*x^3)^(1/4))/x) - 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((a - (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)))*log((sqrt(2)*(a^4 - 8*a^2*b + 16*b^2)*x*sqrt(sqrt(2)*sqrt((a - (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)))/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3) + 2*(a*x^4 + b*x^3)^(1/4))/x) + 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((a - (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)))*log(-(sqrt(2)*(a^4 - 8*a^2*b + 16*b^2)*x*sqrt(sqrt(2)*sqrt((a - (a^4 - 8*a^2*b + 16*b^2)/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3))/(a^4 - 8*a^2*b + 16*b^2)))/sqrt(a^6 - 12*a^4*b + 48*a^2*b^2 - 64*b^3) - 2*(a*x^4 + b*x^3)^(1/4))/x)","B",0
837,1,82,0,0.467851," ","integrate(x^2*(x^6-4)/(x^6-1)^(1/2)/(x^6+2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \sqrt{2} \log\left(\frac{25 \, x^{6} - 2 \, \sqrt{3} \sqrt{2} {\left(5 \, x^{6} - 2\right)} - 2 \, \sqrt{x^{6} - 1} {\left(5 \, \sqrt{3} \sqrt{2} x^{3} - 12 \, x^{3}\right)} - 10}{x^{6} + 2}\right) - \frac{1}{3} \, \log\left(-x^{3} + \sqrt{x^{6} - 1}\right)"," ",0,"1/6*sqrt(3)*sqrt(2)*log((25*x^6 - 2*sqrt(3)*sqrt(2)*(5*x^6 - 2) - 2*sqrt(x^6 - 1)*(5*sqrt(3)*sqrt(2)*x^3 - 12*x^3) - 10)/(x^6 + 2)) - 1/3*log(-x^3 + sqrt(x^6 - 1))","A",0
838,1,137,0,79.300718," ","integrate((x^5-1)*(x^5+x^3-1)*(2*x^5+3)/x^6/(x^5-x^3-1)/(x^6-x)^(1/4),x, algorithm=""fricas"")","-\frac{2 \, {\left(21 \, x^{6} \arctan\left(\frac{2 \, {\left({\left(x^{6} - x\right)}^{\frac{1}{4}} x^{2} + {\left(x^{6} - x\right)}^{\frac{3}{4}}\right)}}{x^{5} - x^{3} - 1}\right) - 21 \, x^{6} \log\left(-\frac{x^{5} + x^{3} - 2 \, {\left(x^{6} - x\right)}^{\frac{1}{4}} x^{2} + 2 \, \sqrt{x^{6} - x} x - 2 \, {\left(x^{6} - x\right)}^{\frac{3}{4}} - 1}{x^{5} - x^{3} - 1}\right) - 2 \, {\left(x^{6} - x\right)}^{\frac{3}{4}} {\left(3 \, x^{5} + 14 \, x^{3} - 3\right)}\right)}}{21 \, x^{6}}"," ",0,"-2/21*(21*x^6*arctan(2*((x^6 - x)^(1/4)*x^2 + (x^6 - x)^(3/4))/(x^5 - x^3 - 1)) - 21*x^6*log(-(x^5 + x^3 - 2*(x^6 - x)^(1/4)*x^2 + 2*sqrt(x^6 - x)*x - 2*(x^6 - x)^(3/4) - 1)/(x^5 - x^3 - 1)) - 2*(x^6 - x)^(3/4)*(3*x^5 + 14*x^3 - 3))/x^6","B",0
839,1,86,0,0.476294," ","integrate((x^3+1)^(1/2)*(x^6+2*x^3+2)/x^7/(x^6-1),x, algorithm=""fricas"")","\frac{10 \, \sqrt{2} x^{6} \log\left(\frac{x^{3} - 2 \, \sqrt{2} \sqrt{x^{3} + 1} + 3}{x^{3} - 1}\right) + 15 \, x^{6} \log\left(\sqrt{x^{3} + 1} + 1\right) - 15 \, x^{6} \log\left(\sqrt{x^{3} + 1} - 1\right) + 2 \, {\left(5 \, x^{3} + 2\right)} \sqrt{x^{3} + 1}}{12 \, x^{6}}"," ",0,"1/12*(10*sqrt(2)*x^6*log((x^3 - 2*sqrt(2)*sqrt(x^3 + 1) + 3)/(x^3 - 1)) + 15*x^6*log(sqrt(x^3 + 1) + 1) - 15*x^6*log(sqrt(x^3 + 1) - 1) + 2*(5*x^3 + 2)*sqrt(x^3 + 1))/x^6","A",0
840,1,3547,0,1.527375," ","integrate((x^5+x^2-1)^(1/2)*(3*x^5+2)/(x^10-2*x^5+x^4+1),x, algorithm=""fricas"")","\frac{1}{16} \cdot 2^{\frac{1}{4}} \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} \log\left(\frac{x^{10} + 4 \, x^{7} - 2 \, x^{5} + 5 \, x^{4} + 2^{\frac{1}{4}} \sqrt{x^{5} + x^{2} - 1} {\left(2 \, x^{3} + \sqrt{2} {\left(x^{6} + x^{3} - x\right)}\right)} \sqrt{2 \, \sqrt{2} + 4} - 4 \, x^{2} + 4 \, \sqrt{2} {\left(x^{7} + x^{4} - x^{2}\right)} + 1}{x^{10} - 2 \, x^{5} + x^{4} + 1}\right) - \frac{1}{16} \cdot 2^{\frac{1}{4}} \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} \log\left(\frac{x^{10} + 4 \, x^{7} - 2 \, x^{5} + 5 \, x^{4} - 2^{\frac{1}{4}} \sqrt{x^{5} + x^{2} - 1} {\left(2 \, x^{3} + \sqrt{2} {\left(x^{6} + x^{3} - x\right)}\right)} \sqrt{2 \, \sqrt{2} + 4} - 4 \, x^{2} + 4 \, \sqrt{2} {\left(x^{7} + x^{4} - x^{2}\right)} + 1}{x^{10} - 2 \, x^{5} + x^{4} + 1}\right) + \frac{1}{4} \cdot 2^{\frac{3}{4}} \sqrt{2 \, \sqrt{2} + 4} \arctan\left(\frac{4 \, x^{26} - 4 \, x^{23} - 20 \, x^{21} - 56 \, x^{20} + 16 \, x^{18} - 56 \, x^{17} + 40 \, x^{16} + 168 \, x^{15} + 4 \, x^{14} - 24 \, x^{13} + 112 \, x^{12} - 28 \, x^{11} - 168 \, x^{10} - 4 \, x^{9} + 16 \, x^{8} - 56 \, x^{7} + 20 \, x^{6} + 56 \, x^{5} - 4 \, x^{3} + \sqrt{x^{5} + x^{2} - 1} {\left(2^{\frac{3}{4}} {\left(x^{25} + 7 \, x^{22} - 5 \, x^{20} + 10 \, x^{19} - 28 \, x^{17} - 6 \, x^{16} + 10 \, x^{15} - 30 \, x^{14} - 7 \, x^{13} + 42 \, x^{12} + 12 \, x^{11} - 7 \, x^{10} + 30 \, x^{9} + 7 \, x^{8} - 28 \, x^{7} - 6 \, x^{6} + 5 \, x^{5} - 10 \, x^{4} + 7 \, x^{2} - \sqrt{2} {\left(3 \, x^{22} + 10 \, x^{19} - 12 \, x^{17} + 4 \, x^{16} - 30 \, x^{14} - 6 \, x^{13} + 18 \, x^{12} - 8 \, x^{11} + x^{10} + 30 \, x^{9} + 6 \, x^{8} - 12 \, x^{7} + 4 \, x^{6} - 10 \, x^{4} + 3 \, x^{2}\right)} - 1\right)} + 2 \cdot 2^{\frac{1}{4}} {\left(2 \, x^{22} + 2 \, x^{19} - 8 \, x^{17} + 10 \, x^{16} - 6 \, x^{14} + 18 \, x^{13} + 12 \, x^{12} - 20 \, x^{11} + 8 \, x^{10} + 6 \, x^{9} - 18 \, x^{8} - 8 \, x^{7} + 10 \, x^{6} - 2 \, x^{4} + 2 \, x^{2} + \sqrt{2} {\left(x^{22} - 4 \, x^{19} - 4 \, x^{17} - 12 \, x^{16} + 12 \, x^{14} - 12 \, x^{13} + 6 \, x^{12} + 24 \, x^{11} - 5 \, x^{10} - 12 \, x^{9} + 12 \, x^{8} - 4 \, x^{7} - 12 \, x^{6} + 4 \, x^{4} + x^{2}\right)}\right)}\right)} \sqrt{2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(2 \, x^{26} + 6 \, x^{23} - 10 \, x^{21} + 4 \, x^{20} - 24 \, x^{18} + 4 \, x^{17} + 20 \, x^{16} - 12 \, x^{15} + 2 \, x^{14} + 36 \, x^{13} - 8 \, x^{12} - 22 \, x^{11} + 12 \, x^{10} - 2 \, x^{9} - 24 \, x^{8} + 4 \, x^{7} + 10 \, x^{6} - 4 \, x^{5} + 6 \, x^{3} + \sqrt{2} {\left(x^{26} - x^{23} - 5 \, x^{21} - 14 \, x^{20} + 4 \, x^{18} - 14 \, x^{17} + 10 \, x^{16} + 42 \, x^{15} + x^{14} - 6 \, x^{13} + 28 \, x^{12} - 7 \, x^{11} - 42 \, x^{10} - x^{9} + 4 \, x^{8} - 14 \, x^{7} + 5 \, x^{6} + 14 \, x^{5} - x^{3} - x\right)} - 2 \, x\right)} + 4 \, \sqrt{2} {\left(x^{26} + 3 \, x^{23} - 5 \, x^{21} + 2 \, x^{20} - 12 \, x^{18} + 2 \, x^{17} + 10 \, x^{16} - 6 \, x^{15} + x^{14} + 18 \, x^{13} - 4 \, x^{12} - 11 \, x^{11} + 6 \, x^{10} - x^{9} - 12 \, x^{8} + 2 \, x^{7} + 5 \, x^{6} - 2 \, x^{5} + 3 \, x^{3} - x\right)} + {\left(24 \, x^{23} + 16 \, x^{20} - 96 \, x^{18} - 48 \, x^{17} - 48 \, x^{15} - 48 \, x^{14} + 144 \, x^{13} + 96 \, x^{12} - 8 \, x^{11} + 48 \, x^{10} + 48 \, x^{9} - 96 \, x^{8} - 48 \, x^{7} - 16 \, x^{5} + 24 \, x^{3} - \sqrt{x^{5} + x^{2} - 1} {\left(2^{\frac{3}{4}} {\left(x^{25} + 7 \, x^{22} - 5 \, x^{20} + 2 \, x^{19} - 28 \, x^{17} - 14 \, x^{16} + 10 \, x^{15} - 6 \, x^{14} - 15 \, x^{13} + 42 \, x^{12} + 28 \, x^{11} - 15 \, x^{10} + 6 \, x^{9} + 15 \, x^{8} - 28 \, x^{7} - 14 \, x^{6} + 5 \, x^{5} - 2 \, x^{4} + 7 \, x^{2} - \sqrt{2} {\left(x^{22} - 2 \, x^{19} - 4 \, x^{17} + 4 \, x^{16} + 6 \, x^{14} + 14 \, x^{13} + 6 \, x^{12} - 8 \, x^{11} + 3 \, x^{10} - 6 \, x^{9} - 14 \, x^{8} - 4 \, x^{7} + 4 \, x^{6} + 2 \, x^{4} + x^{2}\right)} - 1\right)} + 2 \cdot 2^{\frac{1}{4}} {\left(2 \, x^{22} + 6 \, x^{19} - 8 \, x^{17} - 2 \, x^{16} - 18 \, x^{14} - 10 \, x^{13} + 12 \, x^{12} + 4 \, x^{11} - 4 \, x^{10} + 18 \, x^{9} + 10 \, x^{8} - 8 \, x^{7} - 2 \, x^{6} - 6 \, x^{4} + 2 \, x^{2} + \sqrt{2} {\left(x^{22} - 4 \, x^{17} - 8 \, x^{16} - 8 \, x^{13} + 6 \, x^{12} + 16 \, x^{11} - x^{10} + 8 \, x^{8} - 4 \, x^{7} - 8 \, x^{6} + x^{2}\right)}\right)}\right)} \sqrt{2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2 \, x^{26} + 10 \, x^{23} - 10 \, x^{21} + 4 \, x^{20} - 40 \, x^{18} - 28 \, x^{17} + 20 \, x^{16} - 12 \, x^{15} - 30 \, x^{14} + 60 \, x^{13} + 56 \, x^{12} - 26 \, x^{11} + 12 \, x^{10} + 30 \, x^{9} - 40 \, x^{8} - 28 \, x^{7} + 10 \, x^{6} - 4 \, x^{5} + 10 \, x^{3} + \sqrt{2} {\left(x^{26} + 3 \, x^{23} - 5 \, x^{21} - 2 \, x^{20} - 12 \, x^{18} - 18 \, x^{17} + 10 \, x^{16} + 6 \, x^{15} - 19 \, x^{14} + 18 \, x^{13} + 36 \, x^{12} - 15 \, x^{11} - 6 \, x^{10} + 19 \, x^{9} - 12 \, x^{8} - 18 \, x^{7} + 5 \, x^{6} + 2 \, x^{5} + 3 \, x^{3} - x\right)} - 2 \, x\right)} + 16 \, \sqrt{2} {\left(x^{23} - 4 \, x^{18} - 4 \, x^{17} - 4 \, x^{14} + 6 \, x^{13} + 8 \, x^{12} - x^{11} + 4 \, x^{9} - 4 \, x^{8} - 4 \, x^{7} + x^{3}\right)}\right)} \sqrt{\frac{x^{10} + 4 \, x^{7} - 2 \, x^{5} + 5 \, x^{4} + 2^{\frac{1}{4}} \sqrt{x^{5} + x^{2} - 1} {\left(2 \, x^{3} + \sqrt{2} {\left(x^{6} + x^{3} - x\right)}\right)} \sqrt{2 \, \sqrt{2} + 4} - 4 \, x^{2} + 4 \, \sqrt{2} {\left(x^{7} + x^{4} - x^{2}\right)} + 1}{x^{10} - 2 \, x^{5} + x^{4} + 1}} - 4 \, x}{4 \, {\left(x^{26} + 9 \, x^{23} - 5 \, x^{21} + 2 \, x^{20} - 36 \, x^{18} - 30 \, x^{17} + 10 \, x^{16} - 6 \, x^{15} - 31 \, x^{14} + 54 \, x^{13} + 60 \, x^{12} - 17 \, x^{11} + 6 \, x^{10} + 31 \, x^{9} - 36 \, x^{8} - 30 \, x^{7} + 5 \, x^{6} - 2 \, x^{5} + 9 \, x^{3} - x\right)}}\right) + \frac{1}{4} \cdot 2^{\frac{3}{4}} \sqrt{2 \, \sqrt{2} + 4} \arctan\left(-\frac{4 \, x^{26} - 4 \, x^{23} - 20 \, x^{21} - 56 \, x^{20} + 16 \, x^{18} - 56 \, x^{17} + 40 \, x^{16} + 168 \, x^{15} + 4 \, x^{14} - 24 \, x^{13} + 112 \, x^{12} - 28 \, x^{11} - 168 \, x^{10} - 4 \, x^{9} + 16 \, x^{8} - 56 \, x^{7} + 20 \, x^{6} + 56 \, x^{5} - 4 \, x^{3} - \sqrt{x^{5} + x^{2} - 1} {\left(2^{\frac{3}{4}} {\left(x^{25} + 7 \, x^{22} - 5 \, x^{20} + 10 \, x^{19} - 28 \, x^{17} - 6 \, x^{16} + 10 \, x^{15} - 30 \, x^{14} - 7 \, x^{13} + 42 \, x^{12} + 12 \, x^{11} - 7 \, x^{10} + 30 \, x^{9} + 7 \, x^{8} - 28 \, x^{7} - 6 \, x^{6} + 5 \, x^{5} - 10 \, x^{4} + 7 \, x^{2} - \sqrt{2} {\left(3 \, x^{22} + 10 \, x^{19} - 12 \, x^{17} + 4 \, x^{16} - 30 \, x^{14} - 6 \, x^{13} + 18 \, x^{12} - 8 \, x^{11} + x^{10} + 30 \, x^{9} + 6 \, x^{8} - 12 \, x^{7} + 4 \, x^{6} - 10 \, x^{4} + 3 \, x^{2}\right)} - 1\right)} + 2 \cdot 2^{\frac{1}{4}} {\left(2 \, x^{22} + 2 \, x^{19} - 8 \, x^{17} + 10 \, x^{16} - 6 \, x^{14} + 18 \, x^{13} + 12 \, x^{12} - 20 \, x^{11} + 8 \, x^{10} + 6 \, x^{9} - 18 \, x^{8} - 8 \, x^{7} + 10 \, x^{6} - 2 \, x^{4} + 2 \, x^{2} + \sqrt{2} {\left(x^{22} - 4 \, x^{19} - 4 \, x^{17} - 12 \, x^{16} + 12 \, x^{14} - 12 \, x^{13} + 6 \, x^{12} + 24 \, x^{11} - 5 \, x^{10} - 12 \, x^{9} + 12 \, x^{8} - 4 \, x^{7} - 12 \, x^{6} + 4 \, x^{4} + x^{2}\right)}\right)}\right)} \sqrt{2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(2 \, x^{26} + 6 \, x^{23} - 10 \, x^{21} + 4 \, x^{20} - 24 \, x^{18} + 4 \, x^{17} + 20 \, x^{16} - 12 \, x^{15} + 2 \, x^{14} + 36 \, x^{13} - 8 \, x^{12} - 22 \, x^{11} + 12 \, x^{10} - 2 \, x^{9} - 24 \, x^{8} + 4 \, x^{7} + 10 \, x^{6} - 4 \, x^{5} + 6 \, x^{3} + \sqrt{2} {\left(x^{26} - x^{23} - 5 \, x^{21} - 14 \, x^{20} + 4 \, x^{18} - 14 \, x^{17} + 10 \, x^{16} + 42 \, x^{15} + x^{14} - 6 \, x^{13} + 28 \, x^{12} - 7 \, x^{11} - 42 \, x^{10} - x^{9} + 4 \, x^{8} - 14 \, x^{7} + 5 \, x^{6} + 14 \, x^{5} - x^{3} - x\right)} - 2 \, x\right)} + 4 \, \sqrt{2} {\left(x^{26} + 3 \, x^{23} - 5 \, x^{21} + 2 \, x^{20} - 12 \, x^{18} + 2 \, x^{17} + 10 \, x^{16} - 6 \, x^{15} + x^{14} + 18 \, x^{13} - 4 \, x^{12} - 11 \, x^{11} + 6 \, x^{10} - x^{9} - 12 \, x^{8} + 2 \, x^{7} + 5 \, x^{6} - 2 \, x^{5} + 3 \, x^{3} - x\right)} + {\left(24 \, x^{23} + 16 \, x^{20} - 96 \, x^{18} - 48 \, x^{17} - 48 \, x^{15} - 48 \, x^{14} + 144 \, x^{13} + 96 \, x^{12} - 8 \, x^{11} + 48 \, x^{10} + 48 \, x^{9} - 96 \, x^{8} - 48 \, x^{7} - 16 \, x^{5} + 24 \, x^{3} + \sqrt{x^{5} + x^{2} - 1} {\left(2^{\frac{3}{4}} {\left(x^{25} + 7 \, x^{22} - 5 \, x^{20} + 2 \, x^{19} - 28 \, x^{17} - 14 \, x^{16} + 10 \, x^{15} - 6 \, x^{14} - 15 \, x^{13} + 42 \, x^{12} + 28 \, x^{11} - 15 \, x^{10} + 6 \, x^{9} + 15 \, x^{8} - 28 \, x^{7} - 14 \, x^{6} + 5 \, x^{5} - 2 \, x^{4} + 7 \, x^{2} - \sqrt{2} {\left(x^{22} - 2 \, x^{19} - 4 \, x^{17} + 4 \, x^{16} + 6 \, x^{14} + 14 \, x^{13} + 6 \, x^{12} - 8 \, x^{11} + 3 \, x^{10} - 6 \, x^{9} - 14 \, x^{8} - 4 \, x^{7} + 4 \, x^{6} + 2 \, x^{4} + x^{2}\right)} - 1\right)} + 2 \cdot 2^{\frac{1}{4}} {\left(2 \, x^{22} + 6 \, x^{19} - 8 \, x^{17} - 2 \, x^{16} - 18 \, x^{14} - 10 \, x^{13} + 12 \, x^{12} + 4 \, x^{11} - 4 \, x^{10} + 18 \, x^{9} + 10 \, x^{8} - 8 \, x^{7} - 2 \, x^{6} - 6 \, x^{4} + 2 \, x^{2} + \sqrt{2} {\left(x^{22} - 4 \, x^{17} - 8 \, x^{16} - 8 \, x^{13} + 6 \, x^{12} + 16 \, x^{11} - x^{10} + 8 \, x^{8} - 4 \, x^{7} - 8 \, x^{6} + x^{2}\right)}\right)}\right)} \sqrt{2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2 \, x^{26} + 10 \, x^{23} - 10 \, x^{21} + 4 \, x^{20} - 40 \, x^{18} - 28 \, x^{17} + 20 \, x^{16} - 12 \, x^{15} - 30 \, x^{14} + 60 \, x^{13} + 56 \, x^{12} - 26 \, x^{11} + 12 \, x^{10} + 30 \, x^{9} - 40 \, x^{8} - 28 \, x^{7} + 10 \, x^{6} - 4 \, x^{5} + 10 \, x^{3} + \sqrt{2} {\left(x^{26} + 3 \, x^{23} - 5 \, x^{21} - 2 \, x^{20} - 12 \, x^{18} - 18 \, x^{17} + 10 \, x^{16} + 6 \, x^{15} - 19 \, x^{14} + 18 \, x^{13} + 36 \, x^{12} - 15 \, x^{11} - 6 \, x^{10} + 19 \, x^{9} - 12 \, x^{8} - 18 \, x^{7} + 5 \, x^{6} + 2 \, x^{5} + 3 \, x^{3} - x\right)} - 2 \, x\right)} + 16 \, \sqrt{2} {\left(x^{23} - 4 \, x^{18} - 4 \, x^{17} - 4 \, x^{14} + 6 \, x^{13} + 8 \, x^{12} - x^{11} + 4 \, x^{9} - 4 \, x^{8} - 4 \, x^{7} + x^{3}\right)}\right)} \sqrt{\frac{x^{10} + 4 \, x^{7} - 2 \, x^{5} + 5 \, x^{4} - 2^{\frac{1}{4}} \sqrt{x^{5} + x^{2} - 1} {\left(2 \, x^{3} + \sqrt{2} {\left(x^{6} + x^{3} - x\right)}\right)} \sqrt{2 \, \sqrt{2} + 4} - 4 \, x^{2} + 4 \, \sqrt{2} {\left(x^{7} + x^{4} - x^{2}\right)} + 1}{x^{10} - 2 \, x^{5} + x^{4} + 1}} - 4 \, x}{4 \, {\left(x^{26} + 9 \, x^{23} - 5 \, x^{21} + 2 \, x^{20} - 36 \, x^{18} - 30 \, x^{17} + 10 \, x^{16} - 6 \, x^{15} - 31 \, x^{14} + 54 \, x^{13} + 60 \, x^{12} - 17 \, x^{11} + 6 \, x^{10} + 31 \, x^{9} - 36 \, x^{8} - 30 \, x^{7} + 5 \, x^{6} - 2 \, x^{5} + 9 \, x^{3} - x\right)}}\right)"," ",0,"1/16*2^(1/4)*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2)*log((x^10 + 4*x^7 - 2*x^5 + 5*x^4 + 2^(1/4)*sqrt(x^5 + x^2 - 1)*(2*x^3 + sqrt(2)*(x^6 + x^3 - x))*sqrt(2*sqrt(2) + 4) - 4*x^2 + 4*sqrt(2)*(x^7 + x^4 - x^2) + 1)/(x^10 - 2*x^5 + x^4 + 1)) - 1/16*2^(1/4)*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2)*log((x^10 + 4*x^7 - 2*x^5 + 5*x^4 - 2^(1/4)*sqrt(x^5 + x^2 - 1)*(2*x^3 + sqrt(2)*(x^6 + x^3 - x))*sqrt(2*sqrt(2) + 4) - 4*x^2 + 4*sqrt(2)*(x^7 + x^4 - x^2) + 1)/(x^10 - 2*x^5 + x^4 + 1)) + 1/4*2^(3/4)*sqrt(2*sqrt(2) + 4)*arctan(1/4*(4*x^26 - 4*x^23 - 20*x^21 - 56*x^20 + 16*x^18 - 56*x^17 + 40*x^16 + 168*x^15 + 4*x^14 - 24*x^13 + 112*x^12 - 28*x^11 - 168*x^10 - 4*x^9 + 16*x^8 - 56*x^7 + 20*x^6 + 56*x^5 - 4*x^3 + sqrt(x^5 + x^2 - 1)*(2^(3/4)*(x^25 + 7*x^22 - 5*x^20 + 10*x^19 - 28*x^17 - 6*x^16 + 10*x^15 - 30*x^14 - 7*x^13 + 42*x^12 + 12*x^11 - 7*x^10 + 30*x^9 + 7*x^8 - 28*x^7 - 6*x^6 + 5*x^5 - 10*x^4 + 7*x^2 - sqrt(2)*(3*x^22 + 10*x^19 - 12*x^17 + 4*x^16 - 30*x^14 - 6*x^13 + 18*x^12 - 8*x^11 + x^10 + 30*x^9 + 6*x^8 - 12*x^7 + 4*x^6 - 10*x^4 + 3*x^2) - 1) + 2*2^(1/4)*(2*x^22 + 2*x^19 - 8*x^17 + 10*x^16 - 6*x^14 + 18*x^13 + 12*x^12 - 20*x^11 + 8*x^10 + 6*x^9 - 18*x^8 - 8*x^7 + 10*x^6 - 2*x^4 + 2*x^2 + sqrt(2)*(x^22 - 4*x^19 - 4*x^17 - 12*x^16 + 12*x^14 - 12*x^13 + 6*x^12 + 24*x^11 - 5*x^10 - 12*x^9 + 12*x^8 - 4*x^7 - 12*x^6 + 4*x^4 + x^2)))*sqrt(2*sqrt(2) + 4) - 2*sqrt(2)*(2*x^26 + 6*x^23 - 10*x^21 + 4*x^20 - 24*x^18 + 4*x^17 + 20*x^16 - 12*x^15 + 2*x^14 + 36*x^13 - 8*x^12 - 22*x^11 + 12*x^10 - 2*x^9 - 24*x^8 + 4*x^7 + 10*x^6 - 4*x^5 + 6*x^3 + sqrt(2)*(x^26 - x^23 - 5*x^21 - 14*x^20 + 4*x^18 - 14*x^17 + 10*x^16 + 42*x^15 + x^14 - 6*x^13 + 28*x^12 - 7*x^11 - 42*x^10 - x^9 + 4*x^8 - 14*x^7 + 5*x^6 + 14*x^5 - x^3 - x) - 2*x) + 4*sqrt(2)*(x^26 + 3*x^23 - 5*x^21 + 2*x^20 - 12*x^18 + 2*x^17 + 10*x^16 - 6*x^15 + x^14 + 18*x^13 - 4*x^12 - 11*x^11 + 6*x^10 - x^9 - 12*x^8 + 2*x^7 + 5*x^6 - 2*x^5 + 3*x^3 - x) + (24*x^23 + 16*x^20 - 96*x^18 - 48*x^17 - 48*x^15 - 48*x^14 + 144*x^13 + 96*x^12 - 8*x^11 + 48*x^10 + 48*x^9 - 96*x^8 - 48*x^7 - 16*x^5 + 24*x^3 - sqrt(x^5 + x^2 - 1)*(2^(3/4)*(x^25 + 7*x^22 - 5*x^20 + 2*x^19 - 28*x^17 - 14*x^16 + 10*x^15 - 6*x^14 - 15*x^13 + 42*x^12 + 28*x^11 - 15*x^10 + 6*x^9 + 15*x^8 - 28*x^7 - 14*x^6 + 5*x^5 - 2*x^4 + 7*x^2 - sqrt(2)*(x^22 - 2*x^19 - 4*x^17 + 4*x^16 + 6*x^14 + 14*x^13 + 6*x^12 - 8*x^11 + 3*x^10 - 6*x^9 - 14*x^8 - 4*x^7 + 4*x^6 + 2*x^4 + x^2) - 1) + 2*2^(1/4)*(2*x^22 + 6*x^19 - 8*x^17 - 2*x^16 - 18*x^14 - 10*x^13 + 12*x^12 + 4*x^11 - 4*x^10 + 18*x^9 + 10*x^8 - 8*x^7 - 2*x^6 - 6*x^4 + 2*x^2 + sqrt(2)*(x^22 - 4*x^17 - 8*x^16 - 8*x^13 + 6*x^12 + 16*x^11 - x^10 + 8*x^8 - 4*x^7 - 8*x^6 + x^2)))*sqrt(2*sqrt(2) + 4) + 2*sqrt(2)*(2*x^26 + 10*x^23 - 10*x^21 + 4*x^20 - 40*x^18 - 28*x^17 + 20*x^16 - 12*x^15 - 30*x^14 + 60*x^13 + 56*x^12 - 26*x^11 + 12*x^10 + 30*x^9 - 40*x^8 - 28*x^7 + 10*x^6 - 4*x^5 + 10*x^3 + sqrt(2)*(x^26 + 3*x^23 - 5*x^21 - 2*x^20 - 12*x^18 - 18*x^17 + 10*x^16 + 6*x^15 - 19*x^14 + 18*x^13 + 36*x^12 - 15*x^11 - 6*x^10 + 19*x^9 - 12*x^8 - 18*x^7 + 5*x^6 + 2*x^5 + 3*x^3 - x) - 2*x) + 16*sqrt(2)*(x^23 - 4*x^18 - 4*x^17 - 4*x^14 + 6*x^13 + 8*x^12 - x^11 + 4*x^9 - 4*x^8 - 4*x^7 + x^3))*sqrt((x^10 + 4*x^7 - 2*x^5 + 5*x^4 + 2^(1/4)*sqrt(x^5 + x^2 - 1)*(2*x^3 + sqrt(2)*(x^6 + x^3 - x))*sqrt(2*sqrt(2) + 4) - 4*x^2 + 4*sqrt(2)*(x^7 + x^4 - x^2) + 1)/(x^10 - 2*x^5 + x^4 + 1)) - 4*x)/(x^26 + 9*x^23 - 5*x^21 + 2*x^20 - 36*x^18 - 30*x^17 + 10*x^16 - 6*x^15 - 31*x^14 + 54*x^13 + 60*x^12 - 17*x^11 + 6*x^10 + 31*x^9 - 36*x^8 - 30*x^7 + 5*x^6 - 2*x^5 + 9*x^3 - x)) + 1/4*2^(3/4)*sqrt(2*sqrt(2) + 4)*arctan(-1/4*(4*x^26 - 4*x^23 - 20*x^21 - 56*x^20 + 16*x^18 - 56*x^17 + 40*x^16 + 168*x^15 + 4*x^14 - 24*x^13 + 112*x^12 - 28*x^11 - 168*x^10 - 4*x^9 + 16*x^8 - 56*x^7 + 20*x^6 + 56*x^5 - 4*x^3 - sqrt(x^5 + x^2 - 1)*(2^(3/4)*(x^25 + 7*x^22 - 5*x^20 + 10*x^19 - 28*x^17 - 6*x^16 + 10*x^15 - 30*x^14 - 7*x^13 + 42*x^12 + 12*x^11 - 7*x^10 + 30*x^9 + 7*x^8 - 28*x^7 - 6*x^6 + 5*x^5 - 10*x^4 + 7*x^2 - sqrt(2)*(3*x^22 + 10*x^19 - 12*x^17 + 4*x^16 - 30*x^14 - 6*x^13 + 18*x^12 - 8*x^11 + x^10 + 30*x^9 + 6*x^8 - 12*x^7 + 4*x^6 - 10*x^4 + 3*x^2) - 1) + 2*2^(1/4)*(2*x^22 + 2*x^19 - 8*x^17 + 10*x^16 - 6*x^14 + 18*x^13 + 12*x^12 - 20*x^11 + 8*x^10 + 6*x^9 - 18*x^8 - 8*x^7 + 10*x^6 - 2*x^4 + 2*x^2 + sqrt(2)*(x^22 - 4*x^19 - 4*x^17 - 12*x^16 + 12*x^14 - 12*x^13 + 6*x^12 + 24*x^11 - 5*x^10 - 12*x^9 + 12*x^8 - 4*x^7 - 12*x^6 + 4*x^4 + x^2)))*sqrt(2*sqrt(2) + 4) - 2*sqrt(2)*(2*x^26 + 6*x^23 - 10*x^21 + 4*x^20 - 24*x^18 + 4*x^17 + 20*x^16 - 12*x^15 + 2*x^14 + 36*x^13 - 8*x^12 - 22*x^11 + 12*x^10 - 2*x^9 - 24*x^8 + 4*x^7 + 10*x^6 - 4*x^5 + 6*x^3 + sqrt(2)*(x^26 - x^23 - 5*x^21 - 14*x^20 + 4*x^18 - 14*x^17 + 10*x^16 + 42*x^15 + x^14 - 6*x^13 + 28*x^12 - 7*x^11 - 42*x^10 - x^9 + 4*x^8 - 14*x^7 + 5*x^6 + 14*x^5 - x^3 - x) - 2*x) + 4*sqrt(2)*(x^26 + 3*x^23 - 5*x^21 + 2*x^20 - 12*x^18 + 2*x^17 + 10*x^16 - 6*x^15 + x^14 + 18*x^13 - 4*x^12 - 11*x^11 + 6*x^10 - x^9 - 12*x^8 + 2*x^7 + 5*x^6 - 2*x^5 + 3*x^3 - x) + (24*x^23 + 16*x^20 - 96*x^18 - 48*x^17 - 48*x^15 - 48*x^14 + 144*x^13 + 96*x^12 - 8*x^11 + 48*x^10 + 48*x^9 - 96*x^8 - 48*x^7 - 16*x^5 + 24*x^3 + sqrt(x^5 + x^2 - 1)*(2^(3/4)*(x^25 + 7*x^22 - 5*x^20 + 2*x^19 - 28*x^17 - 14*x^16 + 10*x^15 - 6*x^14 - 15*x^13 + 42*x^12 + 28*x^11 - 15*x^10 + 6*x^9 + 15*x^8 - 28*x^7 - 14*x^6 + 5*x^5 - 2*x^4 + 7*x^2 - sqrt(2)*(x^22 - 2*x^19 - 4*x^17 + 4*x^16 + 6*x^14 + 14*x^13 + 6*x^12 - 8*x^11 + 3*x^10 - 6*x^9 - 14*x^8 - 4*x^7 + 4*x^6 + 2*x^4 + x^2) - 1) + 2*2^(1/4)*(2*x^22 + 6*x^19 - 8*x^17 - 2*x^16 - 18*x^14 - 10*x^13 + 12*x^12 + 4*x^11 - 4*x^10 + 18*x^9 + 10*x^8 - 8*x^7 - 2*x^6 - 6*x^4 + 2*x^2 + sqrt(2)*(x^22 - 4*x^17 - 8*x^16 - 8*x^13 + 6*x^12 + 16*x^11 - x^10 + 8*x^8 - 4*x^7 - 8*x^6 + x^2)))*sqrt(2*sqrt(2) + 4) + 2*sqrt(2)*(2*x^26 + 10*x^23 - 10*x^21 + 4*x^20 - 40*x^18 - 28*x^17 + 20*x^16 - 12*x^15 - 30*x^14 + 60*x^13 + 56*x^12 - 26*x^11 + 12*x^10 + 30*x^9 - 40*x^8 - 28*x^7 + 10*x^6 - 4*x^5 + 10*x^3 + sqrt(2)*(x^26 + 3*x^23 - 5*x^21 - 2*x^20 - 12*x^18 - 18*x^17 + 10*x^16 + 6*x^15 - 19*x^14 + 18*x^13 + 36*x^12 - 15*x^11 - 6*x^10 + 19*x^9 - 12*x^8 - 18*x^7 + 5*x^6 + 2*x^5 + 3*x^3 - x) - 2*x) + 16*sqrt(2)*(x^23 - 4*x^18 - 4*x^17 - 4*x^14 + 6*x^13 + 8*x^12 - x^11 + 4*x^9 - 4*x^8 - 4*x^7 + x^3))*sqrt((x^10 + 4*x^7 - 2*x^5 + 5*x^4 - 2^(1/4)*sqrt(x^5 + x^2 - 1)*(2*x^3 + sqrt(2)*(x^6 + x^3 - x))*sqrt(2*sqrt(2) + 4) - 4*x^2 + 4*sqrt(2)*(x^7 + x^4 - x^2) + 1)/(x^10 - 2*x^5 + x^4 + 1)) - 4*x)/(x^26 + 9*x^23 - 5*x^21 + 2*x^20 - 36*x^18 - 30*x^17 + 10*x^16 - 6*x^15 - 31*x^14 + 54*x^13 + 60*x^12 - 17*x^11 + 6*x^10 + 31*x^9 - 36*x^8 - 30*x^7 + 5*x^6 - 2*x^5 + 9*x^3 - x))","B",0
841,1,34,0,0.454262," ","integrate(1/x/(x^2+x)^(1/2)/(x^2+x*(x^2+x)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{4 \, \sqrt{x^{2} + \sqrt{x^{2} + x} x} {\left(4 \, x + 4 \, \sqrt{x^{2} + x} - 3\right)}}{15 \, x^{2}}"," ",0,"4/15*sqrt(x^2 + sqrt(x^2 + x)*x)*(4*x + 4*sqrt(x^2 + x) - 3)/x^2","A",0
842,1,47,0,0.522798," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(a x^{2} - b^{2} + \sqrt{a x^{2} + b^{2}} b\right)} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{3 \, a x}"," ",0,"2/3*(a*x^2 - b^2 + sqrt(a*x^2 + b^2)*b)*sqrt(b + sqrt(a*x^2 + b^2))/(a*x)","A",0
843,1,78,0,0.477137," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1)^(1/2)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","2 \, \sqrt{x + \sqrt{x^{2} + 1}} {\left(x - \sqrt{x^{2} + 1}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) + \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right)"," ",0,"2*sqrt(x + sqrt(x^2 + 1))*(x - sqrt(x^2 + 1))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) + log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1)","A",0
844,1,213,0,0.537388," ","integrate((a*x-b)/(a*x+b)/(a^2*x^3+b^2*x)^(1/2),x, algorithm=""fricas"")","\left[\frac{1}{4} \, \sqrt{2} \sqrt{-\frac{1}{a b}} \log\left(\frac{a^{4} x^{4} - 12 \, a^{3} b x^{3} + 6 \, a^{2} b^{2} x^{2} - 12 \, a b^{3} x + b^{4} + 4 \, \sqrt{2} {\left(a^{3} b x^{2} - 2 \, a^{2} b^{2} x + a b^{3}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{-\frac{1}{a b}}}{a^{4} x^{4} + 4 \, a^{3} b x^{3} + 6 \, a^{2} b^{2} x^{2} + 4 \, a b^{3} x + b^{4}}\right), -\frac{1}{2} \, \sqrt{2} \sqrt{\frac{1}{a b}} \arctan\left(\frac{2 \, \sqrt{2} \sqrt{a^{2} x^{3} + b^{2} x} a b \sqrt{\frac{1}{a b}}}{a^{2} x^{2} - 2 \, a b x + b^{2}}\right)\right]"," ",0,"[1/4*sqrt(2)*sqrt(-1/(a*b))*log((a^4*x^4 - 12*a^3*b*x^3 + 6*a^2*b^2*x^2 - 12*a*b^3*x + b^4 + 4*sqrt(2)*(a^3*b*x^2 - 2*a^2*b^2*x + a*b^3)*sqrt(a^2*x^3 + b^2*x)*sqrt(-1/(a*b)))/(a^4*x^4 + 4*a^3*b*x^3 + 6*a^2*b^2*x^2 + 4*a*b^3*x + b^4)), -1/2*sqrt(2)*sqrt(1/(a*b))*arctan(2*sqrt(2)*sqrt(a^2*x^3 + b^2*x)*a*b*sqrt(1/(a*b))/(a^2*x^2 - 2*a*b*x + b^2))]","A",0
845,1,213,0,0.519042," ","integrate((a*x+b)/(a*x-b)/(a^2*x^3+b^2*x)^(1/2),x, algorithm=""fricas"")","\left[\frac{1}{4} \, \sqrt{2} \sqrt{\frac{1}{a b}} \log\left(\frac{a^{4} x^{4} + 12 \, a^{3} b x^{3} + 6 \, a^{2} b^{2} x^{2} + 12 \, a b^{3} x + b^{4} - 4 \, \sqrt{2} {\left(a^{3} b x^{2} + 2 \, a^{2} b^{2} x + a b^{3}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{\frac{1}{a b}}}{a^{4} x^{4} - 4 \, a^{3} b x^{3} + 6 \, a^{2} b^{2} x^{2} - 4 \, a b^{3} x + b^{4}}\right), \frac{1}{2} \, \sqrt{2} \sqrt{-\frac{1}{a b}} \arctan\left(\frac{2 \, \sqrt{2} \sqrt{a^{2} x^{3} + b^{2} x} a b \sqrt{-\frac{1}{a b}}}{a^{2} x^{2} + 2 \, a b x + b^{2}}\right)\right]"," ",0,"[1/4*sqrt(2)*sqrt(1/(a*b))*log((a^4*x^4 + 12*a^3*b*x^3 + 6*a^2*b^2*x^2 + 12*a*b^3*x + b^4 - 4*sqrt(2)*(a^3*b*x^2 + 2*a^2*b^2*x + a*b^3)*sqrt(a^2*x^3 + b^2*x)*sqrt(1/(a*b)))/(a^4*x^4 - 4*a^3*b*x^3 + 6*a^2*b^2*x^2 - 4*a*b^3*x + b^4)), 1/2*sqrt(2)*sqrt(-1/(a*b))*arctan(2*sqrt(2)*sqrt(a^2*x^3 + b^2*x)*a*b*sqrt(-1/(a*b))/(a^2*x^2 + 2*a*b*x + b^2))]","A",0
846,1,213,0,0.511281," ","integrate((a*x^3-b*x^2)/(a*x^3+b*x^2)/(a^2*x^3+b^2*x)^(1/2),x, algorithm=""fricas"")","\left[\frac{1}{4} \, \sqrt{2} \sqrt{-\frac{1}{a b}} \log\left(\frac{a^{4} x^{4} - 12 \, a^{3} b x^{3} + 6 \, a^{2} b^{2} x^{2} - 12 \, a b^{3} x + b^{4} + 4 \, \sqrt{2} {\left(a^{3} b x^{2} - 2 \, a^{2} b^{2} x + a b^{3}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{-\frac{1}{a b}}}{a^{4} x^{4} + 4 \, a^{3} b x^{3} + 6 \, a^{2} b^{2} x^{2} + 4 \, a b^{3} x + b^{4}}\right), -\frac{1}{2} \, \sqrt{2} \sqrt{\frac{1}{a b}} \arctan\left(\frac{2 \, \sqrt{2} \sqrt{a^{2} x^{3} + b^{2} x} a b \sqrt{\frac{1}{a b}}}{a^{2} x^{2} - 2 \, a b x + b^{2}}\right)\right]"," ",0,"[1/4*sqrt(2)*sqrt(-1/(a*b))*log((a^4*x^4 - 12*a^3*b*x^3 + 6*a^2*b^2*x^2 - 12*a*b^3*x + b^4 + 4*sqrt(2)*(a^3*b*x^2 - 2*a^2*b^2*x + a*b^3)*sqrt(a^2*x^3 + b^2*x)*sqrt(-1/(a*b)))/(a^4*x^4 + 4*a^3*b*x^3 + 6*a^2*b^2*x^2 + 4*a*b^3*x + b^4)), -1/2*sqrt(2)*sqrt(1/(a*b))*arctan(2*sqrt(2)*sqrt(a^2*x^3 + b^2*x)*a*b*sqrt(1/(a*b))/(a^2*x^2 - 2*a*b*x + b^2))]","A",0
847,1,58,0,0.522497," ","integrate((2+5*x)/(x^4+2*x^3+5*x^2+20*x-12)^(1/2),x, algorithm=""fricas"")","\log\left(x^{5} + 3 \, x^{4} + 8 \, x^{3} + 24 \, x^{2} + \sqrt{x^{4} + 2 \, x^{3} + 5 \, x^{2} + 20 \, x - 12} {\left(x^{3} + 2 \, x^{2} + 4 \, x + 8\right)} + 16 \, x + 16\right)"," ",0,"log(x^5 + 3*x^4 + 8*x^3 + 24*x^2 + sqrt(x^4 + 2*x^3 + 5*x^2 + 20*x - 12)*(x^3 + 2*x^2 + 4*x + 8) + 16*x + 16)","A",0
848,1,64,0,0.490131," ","integrate((x^3-1)*(x^6-1)^(1/2)/x^7,x, algorithm=""fricas"")","-\frac{2 \, x^{6} \arctan\left(-x^{3} + \sqrt{x^{6} - 1}\right) + 2 \, x^{6} \log\left(-x^{3} + \sqrt{x^{6} - 1}\right) + 2 \, x^{6} + \sqrt{x^{6} - 1} {\left(2 \, x^{3} - 1\right)}}{6 \, x^{6}}"," ",0,"-1/6*(2*x^6*arctan(-x^3 + sqrt(x^6 - 1)) + 2*x^6*log(-x^3 + sqrt(x^6 - 1)) + 2*x^6 + sqrt(x^6 - 1)*(2*x^3 - 1))/x^6","A",0
849,1,54,0,0.467923," ","integrate((x^6-1)^(1/2)*(2*x^6-1)^2/x^7/(4*x^6-1),x, algorithm=""fricas"")","-\frac{\sqrt{3} x^{6} \arctan\left(\frac{2}{3} \, \sqrt{3} \sqrt{x^{6} - 1}\right) + x^{6} \arctan\left(\sqrt{x^{6} - 1}\right) - {\left(2 \, x^{6} + 1\right)} \sqrt{x^{6} - 1}}{6 \, x^{6}}"," ",0,"-1/6*(sqrt(3)*x^6*arctan(2/3*sqrt(3)*sqrt(x^6 - 1)) + x^6*arctan(sqrt(x^6 - 1)) - (2*x^6 + 1)*sqrt(x^6 - 1))/x^6","A",0
850,1,248,0,5.357399," ","integrate((x^4-2)/(x^4+1)^(1/4)/(2*x^8+x^4-1),x, algorithm=""fricas"")","-\frac{4 \cdot 3^{\frac{3}{4}} {\left(x^{4} + 1\right)} \arctan\left(\frac{6 \cdot 3^{\frac{3}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 6 \cdot 3^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{3}{4}} x + 3^{\frac{3}{4}} {\left(2 \cdot 3^{\frac{3}{4}} \sqrt{x^{4} + 1} x^{2} + 3^{\frac{1}{4}} {\left(4 \, x^{4} + 1\right)}\right)}}{3 \, {\left(2 \, x^{4} - 1\right)}}\right) - 3^{\frac{3}{4}} {\left(x^{4} + 1\right)} \log\left(\frac{6 \, \sqrt{3} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 6 \cdot 3^{\frac{1}{4}} \sqrt{x^{4} + 1} x^{2} + 3^{\frac{3}{4}} {\left(4 \, x^{4} + 1\right)} + 6 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x}{2 \, x^{4} - 1}\right) + 3^{\frac{3}{4}} {\left(x^{4} + 1\right)} \log\left(\frac{6 \, \sqrt{3} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} - 6 \cdot 3^{\frac{1}{4}} \sqrt{x^{4} + 1} x^{2} - 3^{\frac{3}{4}} {\left(4 \, x^{4} + 1\right)} + 6 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x}{2 \, x^{4} - 1}\right) - 24 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x}{24 \, {\left(x^{4} + 1\right)}}"," ",0,"-1/24*(4*3^(3/4)*(x^4 + 1)*arctan(1/3*(6*3^(3/4)*(x^4 + 1)^(1/4)*x^3 + 6*3^(1/4)*(x^4 + 1)^(3/4)*x + 3^(3/4)*(2*3^(3/4)*sqrt(x^4 + 1)*x^2 + 3^(1/4)*(4*x^4 + 1)))/(2*x^4 - 1)) - 3^(3/4)*(x^4 + 1)*log((6*sqrt(3)*(x^4 + 1)^(1/4)*x^3 + 6*3^(1/4)*sqrt(x^4 + 1)*x^2 + 3^(3/4)*(4*x^4 + 1) + 6*(x^4 + 1)^(3/4)*x)/(2*x^4 - 1)) + 3^(3/4)*(x^4 + 1)*log((6*sqrt(3)*(x^4 + 1)^(1/4)*x^3 - 6*3^(1/4)*sqrt(x^4 + 1)*x^2 - 3^(3/4)*(4*x^4 + 1) + 6*(x^4 + 1)^(3/4)*x)/(2*x^4 - 1)) - 24*(x^4 + 1)^(3/4)*x)/(x^4 + 1)","B",0
851,1,51,0,0.466367," ","integrate((10*x^8-x^2)/(x^6-1)^(1/2)/(4*x^6-1),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{4}{3} \, \sqrt{3} \sqrt{x^{6} - 1} x^{3} - \frac{1}{3} \, \sqrt{3} {\left(4 \, x^{6} - 1\right)}\right) - \frac{5}{6} \, \log\left(-x^{3} + \sqrt{x^{6} - 1}\right)"," ",0,"1/6*sqrt(3)*arctan(4/3*sqrt(3)*sqrt(x^6 - 1)*x^3 - 1/3*sqrt(3)*(4*x^6 - 1)) - 5/6*log(-x^3 + sqrt(x^6 - 1))","A",0
852,1,66,0,0.444554," ","integrate((x^2+1)/(x^2-1)/(2*x^2+1)^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{3} {\left(2 \, x^{2} + 1\right)} \log\left(\frac{2 \, \sqrt{3} \sqrt{2 \, x^{2} + 1} x - 5 \, x^{2} - 1}{x^{2} - 1}\right) - 3 \, \sqrt{2 \, x^{2} + 1} x}{9 \, {\left(2 \, x^{2} + 1\right)}}"," ",0,"1/9*(sqrt(3)*(2*x^2 + 1)*log((2*sqrt(3)*sqrt(2*x^2 + 1)*x - 5*x^2 - 1)/(x^2 - 1)) - 3*sqrt(2*x^2 + 1)*x)/(2*x^2 + 1)","A",0
853,1,132,0,0.468097," ","integrate((a*x^2+b)^(3/4)/x,x, algorithm=""fricas"")","-2 \, {\left(b^{3}\right)}^{\frac{1}{4}} \arctan\left(-\frac{{\left(b^{3}\right)}^{\frac{1}{4}} {\left(a x^{2} + b\right)}^{\frac{1}{4}} b^{2} - \sqrt{\sqrt{a x^{2} + b} b^{4} + \sqrt{b^{3}} b^{3}} {\left(b^{3}\right)}^{\frac{1}{4}}}{b^{3}}\right) - \frac{1}{2} \, {\left(b^{3}\right)}^{\frac{1}{4}} \log\left({\left(a x^{2} + b\right)}^{\frac{1}{4}} b^{2} + {\left(b^{3}\right)}^{\frac{3}{4}}\right) + \frac{1}{2} \, {\left(b^{3}\right)}^{\frac{1}{4}} \log\left({\left(a x^{2} + b\right)}^{\frac{1}{4}} b^{2} - {\left(b^{3}\right)}^{\frac{3}{4}}\right) + \frac{2}{3} \, {\left(a x^{2} + b\right)}^{\frac{3}{4}}"," ",0,"-2*(b^3)^(1/4)*arctan(-((b^3)^(1/4)*(a*x^2 + b)^(1/4)*b^2 - sqrt(sqrt(a*x^2 + b)*b^4 + sqrt(b^3)*b^3)*(b^3)^(1/4))/b^3) - 1/2*(b^3)^(1/4)*log((a*x^2 + b)^(1/4)*b^2 + (b^3)^(3/4)) + 1/2*(b^3)^(1/4)*log((a*x^2 + b)^(1/4)*b^2 - (b^3)^(3/4)) + 2/3*(a*x^2 + b)^(3/4)","B",0
854,1,92,0,0.510035," ","integrate((x^2-x+1)/(x^2-1)/(x^3+x)^(1/2),x, algorithm=""fricas"")","\frac{3}{8} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(x^{2} - 2 \, x + 1\right)}}{4 \, \sqrt{x^{3} + x}}\right) + \frac{1}{16} \, \sqrt{2} \log\left(\frac{x^{4} + 12 \, x^{3} - 4 \, \sqrt{2} \sqrt{x^{3} + x} {\left(x^{2} + 2 \, x + 1\right)} + 6 \, x^{2} + 12 \, x + 1}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right)"," ",0,"3/8*sqrt(2)*arctan(1/4*sqrt(2)*(x^2 - 2*x + 1)/sqrt(x^3 + x)) + 1/16*sqrt(2)*log((x^4 + 12*x^3 - 4*sqrt(2)*sqrt(x^3 + x)*(x^2 + 2*x + 1) + 6*x^2 + 12*x + 1)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1))","A",0
855,1,41,0,0.518577," ","integrate((2*x^2-1)/(x^2+1)/(x^4-x^2-1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \arctan\left(\frac{2 \, \sqrt{x^{4} - x^{2} - 1} {\left(2 \, x^{3} + x\right)}}{x^{6} - 5 \, x^{4} - 5 \, x^{2} - 1}\right)"," ",0,"-1/2*arctan(2*sqrt(x^4 - x^2 - 1)*(2*x^3 + x)/(x^6 - 5*x^4 - 5*x^2 - 1))","A",0
856,-1,0,0,0.000000," ","integrate(1/(a*x^4-2*b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
857,-1,0,0,0.000000," ","integrate(1/(a*x^4-2*b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
858,1,135,0,1.187841," ","integrate((c*x^2-2*b)/(c*x^2-b)/(a*x^4+c*x^2-b)^(1/4),x, algorithm=""fricas"")","\frac{2 \, \arctan\left(\frac{\frac{x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} + c x^{2} - b}}{x^{2}}}}{a^{\frac{1}{4}}} - \frac{{\left(a x^{4} + c x^{2} - b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}}{x}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} + c x^{2} - b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} + c x^{2} - b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}}"," ",0,"2*arctan((x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 + c*x^2 - b))/x^2)/a^(1/4) - (a*x^4 + c*x^2 - b)^(1/4)/a^(1/4))/x)/a^(1/4) + 1/2*log((a^(1/4)*x + (a*x^4 + c*x^2 - b)^(1/4))/x)/a^(1/4) - 1/2*log(-(a^(1/4)*x - (a*x^4 + c*x^2 - b)^(1/4))/x)/a^(1/4)","B",0
859,1,130,0,0.899334," ","integrate((a*x^3-4*b)/(a*x^3-b)/(c*x^4-a*x^3+b)^(1/4),x, algorithm=""fricas"")","\frac{4 \, \arctan\left(\frac{\frac{x \sqrt{\frac{\sqrt{c} x^{2} + \sqrt{c x^{4} - a x^{3} + b}}{x^{2}}}}{c^{\frac{1}{4}}} - \frac{{\left(c x^{4} - a x^{3} + b\right)}^{\frac{1}{4}}}{c^{\frac{1}{4}}}}{x}\right)}{c^{\frac{1}{4}}} + \frac{\log\left(\frac{c^{\frac{1}{4}} x + {\left(c x^{4} - a x^{3} + b\right)}^{\frac{1}{4}}}{x}\right)}{c^{\frac{1}{4}}} - \frac{\log\left(-\frac{c^{\frac{1}{4}} x - {\left(c x^{4} - a x^{3} + b\right)}^{\frac{1}{4}}}{x}\right)}{c^{\frac{1}{4}}}"," ",0,"4*arctan((x*sqrt((sqrt(c)*x^2 + sqrt(c*x^4 - a*x^3 + b))/x^2)/c^(1/4) - (c*x^4 - a*x^3 + b)^(1/4)/c^(1/4))/x)/c^(1/4) + log((c^(1/4)*x + (c*x^4 - a*x^3 + b)^(1/4))/x)/c^(1/4) - log(-(c^(1/4)*x - (c*x^4 - a*x^3 + b)^(1/4))/x)/c^(1/4)","B",0
860,-2,0,0,0.000000," ","integrate((a*x^6-b)/(a*x^6+b)/(a*x^6+a^3*x^3-b)^(1/3),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
861,-2,0,0,0.000000," ","integrate((a*x^6-b)/(a*x^6+b)/(a*x^6+a^3*x^3-b)^(1/3),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
862,1,130,0,0.591075," ","integrate((-x^4+1)^(1/2)*(x^4+1)/(4*x^8-7*x^4+4),x, algorithm=""fricas"")","-\frac{1}{8} \, \arctan\left(-\frac{4 \, x^{8} - 7 \, x^{4} - 4 \, {\left(2 \, x^{5} + x^{3} - 2 \, x\right)} \sqrt{-x^{4} + 1} + 4}{4 \, x^{8} + 8 \, x^{6} - 7 \, x^{4} - 8 \, x^{2} + 4}\right) + \frac{1}{16} \, \log\left(\frac{4 \, x^{8} - 8 \, x^{6} - 7 \, x^{4} + 8 \, x^{2} - 4 \, {\left(2 \, x^{5} - x^{3} - 2 \, x\right)} \sqrt{-x^{4} + 1} + 4}{4 \, x^{8} - 7 \, x^{4} + 4}\right)"," ",0,"-1/8*arctan(-(4*x^8 - 7*x^4 - 4*(2*x^5 + x^3 - 2*x)*sqrt(-x^4 + 1) + 4)/(4*x^8 + 8*x^6 - 7*x^4 - 8*x^2 + 4)) + 1/16*log((4*x^8 - 8*x^6 - 7*x^4 + 8*x^2 - 4*(2*x^5 - x^3 - 2*x)*sqrt(-x^4 + 1) + 4)/(4*x^8 - 7*x^4 + 4))","B",0
863,-1,0,0,0.000000," ","integrate(x^4/(a*x^4-b)^(1/4)/(a*x^8-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
864,1,2463,0,1.578459," ","integrate((x+(x^2+1)^(1/2))^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1),x, algorithm=""fricas"")","-\sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} \log\left({\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} - 4 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 3 i \, \sqrt{2} - 3 \, \sqrt{4 i \, \sqrt{2} - 2} + 2\right)} \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} \log\left(-{\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} - 4 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 3 i \, \sqrt{2} - 3 \, \sqrt{4 i \, \sqrt{2} - 2} + 2\right)} \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} \log\left({\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} - {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} - {\left({\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 1\right)} {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} + 2 i \, \sqrt{2} - 2 \, \sqrt{4 i \, \sqrt{2} - 2} + 6\right)} \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(-{\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} - {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} - {\left({\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 1\right)} {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} + 2 i \, \sqrt{2} - 2 \, \sqrt{4 i \, \sqrt{2} - 2} + 6\right)} \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(\frac{1}{4} \, {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 2 \, {\left({\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 1\right)} {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 4 i \, \sqrt{2} - 4 \, \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} + 2 i \, \sqrt{2} - 2 \, \sqrt{4 i \, \sqrt{2} - 2} - 8\right)} \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(-\frac{1}{4} \, {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 2 \, {\left({\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 1\right)} {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 4 i \, \sqrt{2} - 4 \, \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} + 2 i \, \sqrt{2} - 2 \, \sqrt{4 i \, \sqrt{2} - 2} - 8\right)} \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(\frac{1}{4} \, {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 2 \, {\left({\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 1\right)} {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 4 i \, \sqrt{2} - 4 \, \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} + 2 i \, \sqrt{2} - 2 \, \sqrt{4 i \, \sqrt{2} - 2} - 8\right)} \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(-\frac{1}{4} \, {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 2 \, {\left({\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 1\right)} {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 4 i \, \sqrt{2} - 4 \, \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} + 2 i \, \sqrt{2} - 2 \, \sqrt{4 i \, \sqrt{2} - 2} - 8\right)} \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right)"," ",0,"-sqrt(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))*log((2*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 - 4*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 3*I*sqrt(2) - 3*sqrt(4*I*sqrt(2) - 2) + 2)*sqrt(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))*log(-(2*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 - 4*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 3*I*sqrt(2) - 3*sqrt(4*I*sqrt(2) - 2) + 2)*sqrt(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))*log((2*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 - (-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) - ((1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1)*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) + 2*I*sqrt(2) - 2*sqrt(4*I*sqrt(2) - 2) + 6)*sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))*log(-(2*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 - (-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) - ((1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1)*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) + 2*I*sqrt(2) - 2*sqrt(4*I*sqrt(2) - 2) + 6)*sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(1/4*(2*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 2*((1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1)*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8)*((I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 4*I*sqrt(2) - 4*sqrt(4*I*sqrt(2) - 2) + 4) + 2*I*sqrt(2) - 2*sqrt(4*I*sqrt(2) - 2) - 8)*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(-1/4*(2*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 2*((1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1)*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8)*((I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 4*I*sqrt(2) - 4*sqrt(4*I*sqrt(2) - 2) + 4) + 2*I*sqrt(2) - 2*sqrt(4*I*sqrt(2) - 2) - 8)*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(1/4*(2*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 2*((1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1)*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8)*((I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 4*I*sqrt(2) - 4*sqrt(4*I*sqrt(2) - 2) + 4) + 2*I*sqrt(2) - 2*sqrt(4*I*sqrt(2) - 2) - 8)*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(-1/4*(2*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 2*((1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1)*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8)*((I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 4*I*sqrt(2) - 4*sqrt(4*I*sqrt(2) - 2) + 4) + 2*I*sqrt(2) - 2*sqrt(4*I*sqrt(2) - 2) - 8)*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))","B",0
865,1,2463,0,1.568166," ","integrate((x+(x^2+1)^(1/2))^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1),x, algorithm=""fricas"")","-\sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} \log\left({\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} - 4 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 3 i \, \sqrt{2} - 3 \, \sqrt{4 i \, \sqrt{2} - 2} + 2\right)} \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} \log\left(-{\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} - 4 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 3 i \, \sqrt{2} - 3 \, \sqrt{4 i \, \sqrt{2} - 2} + 2\right)} \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} \log\left({\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} - {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} - {\left({\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 1\right)} {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} + 2 i \, \sqrt{2} - 2 \, \sqrt{4 i \, \sqrt{2} - 2} + 6\right)} \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(-{\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} - {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} - {\left({\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 1\right)} {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} + 2 i \, \sqrt{2} - 2 \, \sqrt{4 i \, \sqrt{2} - 2} + 6\right)} \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(\frac{1}{4} \, {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 2 \, {\left({\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 1\right)} {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 4 i \, \sqrt{2} - 4 \, \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} + 2 i \, \sqrt{2} - 2 \, \sqrt{4 i \, \sqrt{2} - 2} - 8\right)} \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(-\frac{1}{4} \, {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 2 \, {\left({\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 1\right)} {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 4 i \, \sqrt{2} - 4 \, \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} + 2 i \, \sqrt{2} - 2 \, \sqrt{4 i \, \sqrt{2} - 2} - 8\right)} \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(\frac{1}{4} \, {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 2 \, {\left({\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 1\right)} {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 4 i \, \sqrt{2} - 4 \, \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} + 2 i \, \sqrt{2} - 2 \, \sqrt{4 i \, \sqrt{2} - 2} - 8\right)} \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(-\frac{1}{4} \, {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 2 \, {\left({\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 1\right)} {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 4 i \, \sqrt{2} - 4 \, \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} + 2 i \, \sqrt{2} - 2 \, \sqrt{4 i \, \sqrt{2} - 2} - 8\right)} \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right)"," ",0,"-sqrt(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))*log((2*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 - 4*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 3*I*sqrt(2) - 3*sqrt(4*I*sqrt(2) - 2) + 2)*sqrt(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))*log(-(2*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 - 4*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 3*I*sqrt(2) - 3*sqrt(4*I*sqrt(2) - 2) + 2)*sqrt(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))*log((2*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 - (-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) - ((1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1)*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) + 2*I*sqrt(2) - 2*sqrt(4*I*sqrt(2) - 2) + 6)*sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))*log(-(2*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 - (-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) - ((1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1)*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) + 2*I*sqrt(2) - 2*sqrt(4*I*sqrt(2) - 2) + 6)*sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(1/4*(2*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 2*((1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1)*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8)*((I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 4*I*sqrt(2) - 4*sqrt(4*I*sqrt(2) - 2) + 4) + 2*I*sqrt(2) - 2*sqrt(4*I*sqrt(2) - 2) - 8)*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(-1/4*(2*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 2*((1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1)*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8)*((I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 4*I*sqrt(2) - 4*sqrt(4*I*sqrt(2) - 2) + 4) + 2*I*sqrt(2) - 2*sqrt(4*I*sqrt(2) - 2) - 8)*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(1/4*(2*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 2*((1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1)*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8)*((I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 4*I*sqrt(2) - 4*sqrt(4*I*sqrt(2) - 2) + 4) + 2*I*sqrt(2) - 2*sqrt(4*I*sqrt(2) - 2) - 8)*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(-1/4*(2*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 2*((1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1)*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8)*((I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 4*I*sqrt(2) - 4*sqrt(4*I*sqrt(2) - 2) + 4) + 2*I*sqrt(2) - 2*sqrt(4*I*sqrt(2) - 2) - 8)*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))","B",0
866,1,151,0,0.536923," ","integrate((a*x^3-b)^(1/2)/x/(a*x^3+2*b),x, algorithm=""fricas"")","\left[-\frac{\sqrt{3} \sqrt{-b} \log\left(\frac{a x^{3} - 2 \, \sqrt{3} \sqrt{a x^{3} - b} \sqrt{-b} - 4 \, b}{a x^{3} + 2 \, b}\right) + \sqrt{-b} \log\left(\frac{a x^{3} + 2 \, \sqrt{a x^{3} - b} \sqrt{-b} - 2 \, b}{x^{3}}\right)}{6 \, b}, \frac{\sqrt{3} \sqrt{b} \arctan\left(\frac{\sqrt{3} \sqrt{a x^{3} - b}}{3 \, \sqrt{b}}\right) - \sqrt{b} \arctan\left(\frac{\sqrt{a x^{3} - b}}{\sqrt{b}}\right)}{3 \, b}\right]"," ",0,"[-1/6*(sqrt(3)*sqrt(-b)*log((a*x^3 - 2*sqrt(3)*sqrt(a*x^3 - b)*sqrt(-b) - 4*b)/(a*x^3 + 2*b)) + sqrt(-b)*log((a*x^3 + 2*sqrt(a*x^3 - b)*sqrt(-b) - 2*b)/x^3))/b, 1/3*(sqrt(3)*sqrt(b)*arctan(1/3*sqrt(3)*sqrt(a*x^3 - b)/sqrt(b)) - sqrt(b)*arctan(sqrt(a*x^3 - b)/sqrt(b)))/b]","A",0
867,1,158,0,0.775139," ","integrate((4*a*x^3-b)/x/(a*x^3-b)^(1/2)/(a*x^3+2*b),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{3} b \sqrt{-\frac{1}{b}} \log\left(\frac{a x^{3} + 2 \, \sqrt{3} \sqrt{a x^{3} - b} b \sqrt{-\frac{1}{b}} - 4 \, b}{a x^{3} + 2 \, b}\right) - \sqrt{-b} \log\left(\frac{a x^{3} + 2 \, \sqrt{a x^{3} - b} \sqrt{-b} - 2 \, b}{x^{3}}\right)}{6 \, b}, -\frac{3 \, \sqrt{3} \sqrt{b} \arctan\left(\frac{\sqrt{3} \sqrt{b}}{\sqrt{a x^{3} - b}}\right) + \sqrt{b} \arctan\left(\frac{\sqrt{a x^{3} - b}}{\sqrt{b}}\right)}{3 \, b}\right]"," ",0,"[1/6*(3*sqrt(3)*b*sqrt(-1/b)*log((a*x^3 + 2*sqrt(3)*sqrt(a*x^3 - b)*b*sqrt(-1/b) - 4*b)/(a*x^3 + 2*b)) - sqrt(-b)*log((a*x^3 + 2*sqrt(a*x^3 - b)*sqrt(-b) - 2*b)/x^3))/b, -1/3*(3*sqrt(3)*sqrt(b)*arctan(sqrt(3)*sqrt(b)/sqrt(a*x^3 - b)) + sqrt(b)*arctan(sqrt(a*x^3 - b)/sqrt(b)))/b]","A",0
868,1,106,0,0.580751," ","integrate((x^4+6*x^2+1)^(1/2)/(-1+x)/(1+x)^3,x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(x^{2} + 2 \, x + 1\right)} \log\left(\frac{3 \, x^{4} + 4 \, x^{3} - 2 \, \sqrt{2} \sqrt{x^{4} + 6 \, x^{2} + 1} {\left(x^{2} + 2 \, x + 1\right)} + 18 \, x^{2} + 4 \, x + 3}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right) + 4 \, \sqrt{x^{4} + 6 \, x^{2} + 1}}{16 \, {\left(x^{2} + 2 \, x + 1\right)}}"," ",0,"1/16*(sqrt(2)*(x^2 + 2*x + 1)*log((3*x^4 + 4*x^3 - 2*sqrt(2)*sqrt(x^4 + 6*x^2 + 1)*(x^2 + 2*x + 1) + 18*x^2 + 4*x + 3)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)) + 4*sqrt(x^4 + 6*x^2 + 1))/(x^2 + 2*x + 1)","A",0
869,1,93,0,0.588165," ","integrate((a*x^4+b)^(1/4)/x,x, algorithm=""fricas"")","b^{\frac{1}{4}} \arctan\left(\frac{b^{\frac{3}{4}} \sqrt{\sqrt{a x^{4} + b} + \sqrt{b}} - {\left(a x^{4} + b\right)}^{\frac{1}{4}} b^{\frac{3}{4}}}{b}\right) - \frac{1}{4} \, b^{\frac{1}{4}} \log\left({\left(a x^{4} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}\right) + \frac{1}{4} \, b^{\frac{1}{4}} \log\left({\left(a x^{4} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}\right) + {\left(a x^{4} + b\right)}^{\frac{1}{4}}"," ",0,"b^(1/4)*arctan((b^(3/4)*sqrt(sqrt(a*x^4 + b) + sqrt(b)) - (a*x^4 + b)^(1/4)*b^(3/4))/b) - 1/4*b^(1/4)*log((a*x^4 + b)^(1/4) + b^(1/4)) + 1/4*b^(1/4)*log((a*x^4 + b)^(1/4) - b^(1/4)) + (a*x^4 + b)^(1/4)","A",0
870,-1,0,0,0.000000," ","integrate(1/(a*x^4-2*b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
871,-1,0,0,0.000000," ","integrate(1/(a*x^4-2*b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
872,-1,0,0,0.000000," ","integrate(x^6/(a*x^4+b)^(3/4)/(a^2*x^8+b^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
873,1,39,0,0.548645," ","integrate((x^3+x^2*(x^2-1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{x^{3} + \sqrt{x^{2} - 1} x^{2}} {\left(4 \, x^{2} - \sqrt{x^{2} - 1} x - 2\right)}}{15 \, x}"," ",0,"2/15*sqrt(x^3 + sqrt(x^2 - 1)*x^2)*(4*x^2 - sqrt(x^2 - 1)*x - 2)/x","A",0
874,-1,0,0,0.000000," ","integrate((-a+x)*(-b+x)*(-a*b+x^2)/x/(x*(-a+x)*(-b+x))^(1/2)/(a*b-(a+b+d)*x+x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
875,1,2070,0,0.650425," ","integrate(1/(a^3*x^2+b)/(a^3*x^3-b*x^2)^(1/3),x, algorithm=""fricas"")","\sqrt{3} \left(-\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(-\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} b^{2} x - {\left(a^{6} b^{5} + a^{3} b^{6}\right)} x \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} \left(-\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{2}{3}} - {\left(a^{3} b x^{2} - {\left(a^{6} b^{4} + a^{3} b^{5}\right)} x^{2} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} \left(-\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, \sqrt{3} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} b \left(-\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} + \sqrt{3} x}{3 \, x}\right) + \sqrt{3} \left(\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} b^{2} x + {\left(a^{6} b^{5} + a^{3} b^{6}\right)} x \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} \left(\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{2}{3}} - {\left(a^{3} b x^{2} + {\left(a^{6} b^{4} + a^{3} b^{5}\right)} x^{2} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} \left(\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, \sqrt{3} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} b \left(\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} + \sqrt{3} x}{3 \, x}\right) + \frac{1}{2} \, \left(-\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} \log\left(-\frac{{\left(a^{3} b^{2} x - {\left(a^{6} b^{5} + a^{3} b^{6}\right)} x \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} \left(-\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, \left(\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} \log\left(-\frac{{\left(a^{3} b^{2} x + {\left(a^{6} b^{5} + a^{3} b^{6}\right)} x \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} \left(\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{4} \, \left(-\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(a^{3} b^{2} x - {\left(a^{6} b^{5} + a^{3} b^{6}\right)} x \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} \left(-\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{2}{3}} - {\left(a^{3} b x^{2} - {\left(a^{6} b^{4} + a^{3} b^{5}\right)} x^{2} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} \left(-\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - \frac{1}{4} \, \left(\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(a^{3} b^{2} x + {\left(a^{6} b^{5} + a^{3} b^{6}\right)} x \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} \left(\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{2}{3}} - {\left(a^{3} b x^{2} + {\left(a^{6} b^{4} + a^{3} b^{5}\right)} x^{2} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} \left(\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"sqrt(3)*(-((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) + 1)/(a^3*b^3 + b^4))^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*(-((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) + 1)/(a^3*b^3 + b^4))^(1/3)*sqrt(((a^3*b^2*x - (a^6*b^5 + a^3*b^6)*x*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)))*(a^3*x^3 - b*x^2)^(1/3)*(-((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) + 1)/(a^3*b^3 + b^4))^(2/3) - (a^3*b*x^2 - (a^6*b^4 + a^3*b^5)*x^2*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)))*(-((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) + 1)/(a^3*b^3 + b^4))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) - 2*sqrt(3)*(a^3*x^3 - b*x^2)^(1/3)*b*(-((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) + 1)/(a^3*b^3 + b^4))^(1/3) + sqrt(3)*x)/x) + sqrt(3)*(((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) - 1)/(a^3*b^3 + b^4))^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*(((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) - 1)/(a^3*b^3 + b^4))^(1/3)*sqrt(((a^3*b^2*x + (a^6*b^5 + a^3*b^6)*x*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)))*(a^3*x^3 - b*x^2)^(1/3)*(((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) - 1)/(a^3*b^3 + b^4))^(2/3) - (a^3*b*x^2 + (a^6*b^4 + a^3*b^5)*x^2*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)))*(((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) - 1)/(a^3*b^3 + b^4))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) - 2*sqrt(3)*(a^3*x^3 - b*x^2)^(1/3)*b*(((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) - 1)/(a^3*b^3 + b^4))^(1/3) + sqrt(3)*x)/x) + 1/2*(-((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) + 1)/(a^3*b^3 + b^4))^(1/3)*log(-((a^3*b^2*x - (a^6*b^5 + a^3*b^6)*x*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)))*(-((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) + 1)/(a^3*b^3 + b^4))^(2/3) - (a^3*x^3 - b*x^2)^(1/3))/x) + 1/2*(((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) - 1)/(a^3*b^3 + b^4))^(1/3)*log(-((a^3*b^2*x + (a^6*b^5 + a^3*b^6)*x*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)))*(((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) - 1)/(a^3*b^3 + b^4))^(2/3) - (a^3*x^3 - b*x^2)^(1/3))/x) - 1/4*(-((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) + 1)/(a^3*b^3 + b^4))^(1/3)*log(((a^3*b^2*x - (a^6*b^5 + a^3*b^6)*x*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)))*(a^3*x^3 - b*x^2)^(1/3)*(-((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) + 1)/(a^3*b^3 + b^4))^(2/3) - (a^3*b*x^2 - (a^6*b^4 + a^3*b^5)*x^2*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)))*(-((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) + 1)/(a^3*b^3 + b^4))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) - 1/4*(((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) - 1)/(a^3*b^3 + b^4))^(1/3)*log(((a^3*b^2*x + (a^6*b^5 + a^3*b^6)*x*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)))*(a^3*x^3 - b*x^2)^(1/3)*(((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) - 1)/(a^3*b^3 + b^4))^(2/3) - (a^3*b*x^2 + (a^6*b^4 + a^3*b^5)*x^2*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)))*(((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) - 1)/(a^3*b^3 + b^4))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2)","B",0
876,1,2070,0,0.690042," ","integrate(1/(a^3*x^2+b)/(a^3*x^3-b*x^2)^(1/3),x, algorithm=""fricas"")","\sqrt{3} \left(-\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(-\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} b^{2} x - {\left(a^{6} b^{5} + a^{3} b^{6}\right)} x \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} \left(-\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{2}{3}} - {\left(a^{3} b x^{2} - {\left(a^{6} b^{4} + a^{3} b^{5}\right)} x^{2} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} \left(-\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, \sqrt{3} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} b \left(-\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} + \sqrt{3} x}{3 \, x}\right) + \sqrt{3} \left(\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} b^{2} x + {\left(a^{6} b^{5} + a^{3} b^{6}\right)} x \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} \left(\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{2}{3}} - {\left(a^{3} b x^{2} + {\left(a^{6} b^{4} + a^{3} b^{5}\right)} x^{2} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} \left(\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, \sqrt{3} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} b \left(\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} + \sqrt{3} x}{3 \, x}\right) + \frac{1}{2} \, \left(-\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} \log\left(-\frac{{\left(a^{3} b^{2} x - {\left(a^{6} b^{5} + a^{3} b^{6}\right)} x \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} \left(-\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, \left(\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} \log\left(-\frac{{\left(a^{3} b^{2} x + {\left(a^{6} b^{5} + a^{3} b^{6}\right)} x \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} \left(\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{4} \, \left(-\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(a^{3} b^{2} x - {\left(a^{6} b^{5} + a^{3} b^{6}\right)} x \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} \left(-\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{2}{3}} - {\left(a^{3} b x^{2} - {\left(a^{6} b^{4} + a^{3} b^{5}\right)} x^{2} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} \left(-\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - \frac{1}{4} \, \left(\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(a^{3} b^{2} x + {\left(a^{6} b^{5} + a^{3} b^{6}\right)} x \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} \left(\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{2}{3}} - {\left(a^{3} b x^{2} + {\left(a^{6} b^{4} + a^{3} b^{5}\right)} x^{2} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} \left(\frac{{\left(a^{3} b^{3} + b^{4}\right)} \sqrt{-\frac{1}{a^{9} b^{5} + 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} + b^{4}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"sqrt(3)*(-((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) + 1)/(a^3*b^3 + b^4))^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*(-((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) + 1)/(a^3*b^3 + b^4))^(1/3)*sqrt(((a^3*b^2*x - (a^6*b^5 + a^3*b^6)*x*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)))*(a^3*x^3 - b*x^2)^(1/3)*(-((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) + 1)/(a^3*b^3 + b^4))^(2/3) - (a^3*b*x^2 - (a^6*b^4 + a^3*b^5)*x^2*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)))*(-((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) + 1)/(a^3*b^3 + b^4))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) - 2*sqrt(3)*(a^3*x^3 - b*x^2)^(1/3)*b*(-((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) + 1)/(a^3*b^3 + b^4))^(1/3) + sqrt(3)*x)/x) + sqrt(3)*(((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) - 1)/(a^3*b^3 + b^4))^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*(((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) - 1)/(a^3*b^3 + b^4))^(1/3)*sqrt(((a^3*b^2*x + (a^6*b^5 + a^3*b^6)*x*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)))*(a^3*x^3 - b*x^2)^(1/3)*(((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) - 1)/(a^3*b^3 + b^4))^(2/3) - (a^3*b*x^2 + (a^6*b^4 + a^3*b^5)*x^2*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)))*(((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) - 1)/(a^3*b^3 + b^4))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) - 2*sqrt(3)*(a^3*x^3 - b*x^2)^(1/3)*b*(((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) - 1)/(a^3*b^3 + b^4))^(1/3) + sqrt(3)*x)/x) + 1/2*(-((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) + 1)/(a^3*b^3 + b^4))^(1/3)*log(-((a^3*b^2*x - (a^6*b^5 + a^3*b^6)*x*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)))*(-((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) + 1)/(a^3*b^3 + b^4))^(2/3) - (a^3*x^3 - b*x^2)^(1/3))/x) + 1/2*(((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) - 1)/(a^3*b^3 + b^4))^(1/3)*log(-((a^3*b^2*x + (a^6*b^5 + a^3*b^6)*x*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)))*(((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) - 1)/(a^3*b^3 + b^4))^(2/3) - (a^3*x^3 - b*x^2)^(1/3))/x) - 1/4*(-((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) + 1)/(a^3*b^3 + b^4))^(1/3)*log(((a^3*b^2*x - (a^6*b^5 + a^3*b^6)*x*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)))*(a^3*x^3 - b*x^2)^(1/3)*(-((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) + 1)/(a^3*b^3 + b^4))^(2/3) - (a^3*b*x^2 - (a^6*b^4 + a^3*b^5)*x^2*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)))*(-((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) + 1)/(a^3*b^3 + b^4))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) - 1/4*(((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) - 1)/(a^3*b^3 + b^4))^(1/3)*log(((a^3*b^2*x + (a^6*b^5 + a^3*b^6)*x*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)))*(a^3*x^3 - b*x^2)^(1/3)*(((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) - 1)/(a^3*b^3 + b^4))^(2/3) - (a^3*b*x^2 + (a^6*b^4 + a^3*b^5)*x^2*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)))*(((a^3*b^3 + b^4)*sqrt(-1/(a^9*b^5 + 2*a^6*b^6 + a^3*b^7)) - 1)/(a^3*b^3 + b^4))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2)","B",0
877,1,51,0,0.561816," ","integrate((x^4-1)^(1/2)/(x^4+1),x, algorithm=""fricas"")","\frac{1}{2} \, \arctan\left(\frac{\sqrt{x^{4} - 1} x}{x^{2} + 1}\right) + \frac{1}{4} \, \log\left(\frac{x^{4} + 2 \, x^{2} - 2 \, \sqrt{x^{4} - 1} x - 1}{x^{4} + 1}\right)"," ",0,"1/2*arctan(sqrt(x^4 - 1)*x/(x^2 + 1)) + 1/4*log((x^4 + 2*x^2 - 2*sqrt(x^4 - 1)*x - 1)/(x^4 + 1))","A",0
878,1,118,0,1.569859," ","integrate(x^2*(x^4-x^2)^(1/4),x, algorithm=""fricas"")","\frac{1}{16} \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} {\left(4 \, x^{3} - x\right)} - \frac{3}{64} \, \arctan\left(\frac{2 \, {\left({\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} + {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}\right)}}{x}\right) + \frac{3}{64} \, \log\left(-\frac{2 \, x^{3} - 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \, \sqrt{x^{4} - x^{2}} x - x - 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{x}\right)"," ",0,"1/16*(x^4 - x^2)^(1/4)*(4*x^3 - x) - 3/64*arctan(2*((x^4 - x^2)^(1/4)*x^2 + (x^4 - x^2)^(3/4))/x) + 3/64*log(-(2*x^3 - 2*(x^4 - x^2)^(1/4)*x^2 + 2*sqrt(x^4 - x^2)*x - x - 2*(x^4 - x^2)^(3/4))/x)","B",0
879,1,70,0,0.506130," ","integrate(x/(x^4-2*x^3+3*x^2+4*x+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \log\left(2 \, x^{6} - 12 \, x^{5} + 36 \, x^{4} - 56 \, x^{3} + 42 \, x^{2} + 2 \, \sqrt{x^{4} - 2 \, x^{3} + 3 \, x^{2} + 4 \, x + 1} {\left(x^{4} - 5 \, x^{3} + 12 \, x^{2} - 14 \, x + 7\right)} - 13\right)"," ",0,"1/6*log(2*x^6 - 12*x^5 + 36*x^4 - 56*x^3 + 42*x^2 + 2*sqrt(x^4 - 2*x^3 + 3*x^2 + 4*x + 1)*(x^4 - 5*x^3 + 12*x^2 - 14*x + 7) - 13)","A",0
880,1,70,0,0.643792," ","integrate(x/(x^4+2*x^3+3*x^2-4*x+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \log\left(2 \, x^{6} + 12 \, x^{5} + 36 \, x^{4} + 56 \, x^{3} + 42 \, x^{2} + 2 \, {\left(x^{4} + 5 \, x^{3} + 12 \, x^{2} + 14 \, x + 7\right)} \sqrt{x^{4} + 2 \, x^{3} + 3 \, x^{2} - 4 \, x + 1} - 13\right)"," ",0,"1/6*log(2*x^6 + 12*x^5 + 36*x^4 + 56*x^3 + 42*x^2 + 2*(x^4 + 5*x^3 + 12*x^2 + 14*x + 7)*sqrt(x^4 + 2*x^3 + 3*x^2 - 4*x + 1) - 13)","A",0
881,1,120,0,0.493474," ","integrate((2*x^4-3*x^2+3)/(x^2-1)^(1/4)/(x^4-3*x^2+2),x, algorithm=""fricas"")","\frac{10 \, \sqrt{2} {\left(x^{2} - 1\right)} \arctan\left(\frac{\sqrt{2} {\left(x^{2} - 1\right)}^{\frac{1}{4}}}{x}\right) + 5 \, \sqrt{2} {\left(x^{2} - 1\right)} \log\left(-\frac{x^{4} - 2 \, \sqrt{2} {\left(x^{2} - 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{x^{2} - 1} x^{2} - 4 \, \sqrt{2} {\left(x^{2} - 1\right)}^{\frac{3}{4}} x + 4 \, x^{2} - 4}{x^{4} - 4 \, x^{2} + 4}\right) + 32 \, {\left(x^{2} - 1\right)}^{\frac{3}{4}} x}{8 \, {\left(x^{2} - 1\right)}}"," ",0,"1/8*(10*sqrt(2)*(x^2 - 1)*arctan(sqrt(2)*(x^2 - 1)^(1/4)/x) + 5*sqrt(2)*(x^2 - 1)*log(-(x^4 - 2*sqrt(2)*(x^2 - 1)^(1/4)*x^3 + 4*sqrt(x^2 - 1)*x^2 - 4*sqrt(2)*(x^2 - 1)^(3/4)*x + 4*x^2 - 4)/(x^4 - 4*x^2 + 4)) + 32*(x^2 - 1)^(3/4)*x)/(x^2 - 1)","B",0
882,-1,0,0,0.000000," ","integrate(x^2/(a*x^4-b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
883,-1,0,0,0.000000," ","integrate(x^2/(a*x^4-b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
884,1,134,0,0.607731," ","integrate((x^3+4*b)/(x^3+b)/(a*x^4-x^3-b)^(1/4),x, algorithm=""fricas"")","\frac{4 \, \arctan\left(\frac{\frac{x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} - x^{3} - b}}{x^{2}}}}{a^{\frac{1}{4}}} - \frac{{\left(a x^{4} - x^{3} - b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}}{x}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} - x^{3} - b\right)}^{\frac{1}{4}}}{x}\right)}{a^{\frac{1}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} - x^{3} - b\right)}^{\frac{1}{4}}}{x}\right)}{a^{\frac{1}{4}}}"," ",0,"4*arctan((x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 - x^3 - b))/x^2)/a^(1/4) - (a*x^4 - x^3 - b)^(1/4)/a^(1/4))/x)/a^(1/4) + log((a^(1/4)*x + (a*x^4 - x^3 - b)^(1/4))/x)/a^(1/4) - log(-(a^(1/4)*x - (a*x^4 - x^3 - b)^(1/4))/x)/a^(1/4)","B",0
885,-1,0,0,0.000000," ","integrate((a*x^5+4*b)/(a*x^5-b)/(a*x^5+c*x^4-b)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
886,1,66,0,0.779971," ","integrate((-2*x^6+x^2+1)^(1/2)*(4*x^6+1)/(2*x^6-4*x^2-1)/(2*x^6-2*x^2-1),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{3} \arctan\left(\frac{2 \, \sqrt{3} \sqrt{-2 \, x^{6} + x^{2} + 1} x}{2 \, x^{6} + 2 \, x^{2} - 1}\right) + \frac{1}{4} \, \arctan\left(\frac{2 \, \sqrt{-2 \, x^{6} + x^{2} + 1} x}{2 \, x^{6} - 1}\right)"," ",0,"-1/4*sqrt(3)*arctan(2*sqrt(3)*sqrt(-2*x^6 + x^2 + 1)*x/(2*x^6 + 2*x^2 - 1)) + 1/4*arctan(2*sqrt(-2*x^6 + x^2 + 1)*x/(2*x^6 - 1))","A",0
887,1,242,0,5.247677," ","integrate(x^4/(x^4-1)^(1/4)/(x^8-1),x, algorithm=""fricas"")","-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{4} - 1\right)} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} - 1\right)}^{\frac{3}{4}} x + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{4} - 1} x^{2} + 2^{\frac{1}{4}} {\left(3 \, x^{4} - 1\right)}\right)}}{2 \, {\left(x^{4} + 1\right)}}\right) - 2^{\frac{3}{4}} {\left(x^{4} - 1\right)} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{4} - 1} x^{2} + 2^{\frac{3}{4}} {\left(3 \, x^{4} - 1\right)} + 4 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} x}{x^{4} + 1}\right) + 2^{\frac{3}{4}} {\left(x^{4} - 1\right)} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{4} - 1} x^{2} - 2^{\frac{3}{4}} {\left(3 \, x^{4} - 1\right)} + 4 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} x}{x^{4} + 1}\right) + 16 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} x}{32 \, {\left(x^{4} - 1\right)}}"," ",0,"-1/32*(4*2^(3/4)*(x^4 - 1)*arctan(1/2*(4*2^(3/4)*(x^4 - 1)^(1/4)*x^3 + 4*2^(1/4)*(x^4 - 1)^(3/4)*x + 2^(3/4)*(2*2^(3/4)*sqrt(x^4 - 1)*x^2 + 2^(1/4)*(3*x^4 - 1)))/(x^4 + 1)) - 2^(3/4)*(x^4 - 1)*log((4*sqrt(2)*(x^4 - 1)^(1/4)*x^3 + 4*2^(1/4)*sqrt(x^4 - 1)*x^2 + 2^(3/4)*(3*x^4 - 1) + 4*(x^4 - 1)^(3/4)*x)/(x^4 + 1)) + 2^(3/4)*(x^4 - 1)*log((4*sqrt(2)*(x^4 - 1)^(1/4)*x^3 - 4*2^(1/4)*sqrt(x^4 - 1)*x^2 - 2^(3/4)*(3*x^4 - 1) + 4*(x^4 - 1)^(3/4)*x)/(x^4 + 1)) + 16*(x^4 - 1)^(3/4)*x)/(x^4 - 1)","B",0
888,1,242,0,5.193817," ","integrate(1/(x^4+1)^(1/4)/(x^8-1),x, algorithm=""fricas"")","\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{4} + 1\right)} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{3}{4}} x + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{4} + 1} x^{2} + 2^{\frac{1}{4}} {\left(3 \, x^{4} + 1\right)}\right)}}{2 \, {\left(x^{4} - 1\right)}}\right) - 2^{\frac{3}{4}} {\left(x^{4} + 1\right)} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{4} + 1} x^{2} + 2^{\frac{3}{4}} {\left(3 \, x^{4} + 1\right)} + 4 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x}{x^{4} - 1}\right) + 2^{\frac{3}{4}} {\left(x^{4} + 1\right)} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{4} + 1} x^{2} - 2^{\frac{3}{4}} {\left(3 \, x^{4} + 1\right)} + 4 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x}{x^{4} - 1}\right) - 16 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x}{32 \, {\left(x^{4} + 1\right)}}"," ",0,"1/32*(4*2^(3/4)*(x^4 + 1)*arctan(1/2*(4*2^(3/4)*(x^4 + 1)^(1/4)*x^3 + 4*2^(1/4)*(x^4 + 1)^(3/4)*x + 2^(3/4)*(2*2^(3/4)*sqrt(x^4 + 1)*x^2 + 2^(1/4)*(3*x^4 + 1)))/(x^4 - 1)) - 2^(3/4)*(x^4 + 1)*log((4*sqrt(2)*(x^4 + 1)^(1/4)*x^3 + 4*2^(1/4)*sqrt(x^4 + 1)*x^2 + 2^(3/4)*(3*x^4 + 1) + 4*(x^4 + 1)^(3/4)*x)/(x^4 - 1)) + 2^(3/4)*(x^4 + 1)*log((4*sqrt(2)*(x^4 + 1)^(1/4)*x^3 - 4*2^(1/4)*sqrt(x^4 + 1)*x^2 - 2^(3/4)*(3*x^4 + 1) + 4*(x^4 + 1)^(3/4)*x)/(x^4 - 1)) - 16*(x^4 + 1)^(3/4)*x)/(x^4 + 1)","B",0
889,1,243,0,5.517421," ","integrate((2*x^4-1)/(x^4-1)^(1/4)/(x^8-1),x, algorithm=""fricas"")","-\frac{12 \cdot 2^{\frac{3}{4}} {\left(x^{4} - 1\right)} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} - 1\right)}^{\frac{3}{4}} x + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{4} - 1} x^{2} + 2^{\frac{1}{4}} {\left(3 \, x^{4} - 1\right)}\right)}}{2 \, {\left(x^{4} + 1\right)}}\right) - 3 \cdot 2^{\frac{3}{4}} {\left(x^{4} - 1\right)} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{4} - 1} x^{2} + 2^{\frac{3}{4}} {\left(3 \, x^{4} - 1\right)} + 4 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} x}{x^{4} + 1}\right) + 3 \cdot 2^{\frac{3}{4}} {\left(x^{4} - 1\right)} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{4} - 1} x^{2} - 2^{\frac{3}{4}} {\left(3 \, x^{4} - 1\right)} + 4 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} x}{x^{4} + 1}\right) + 16 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} x}{32 \, {\left(x^{4} - 1\right)}}"," ",0,"-1/32*(12*2^(3/4)*(x^4 - 1)*arctan(1/2*(4*2^(3/4)*(x^4 - 1)^(1/4)*x^3 + 4*2^(1/4)*(x^4 - 1)^(3/4)*x + 2^(3/4)*(2*2^(3/4)*sqrt(x^4 - 1)*x^2 + 2^(1/4)*(3*x^4 - 1)))/(x^4 + 1)) - 3*2^(3/4)*(x^4 - 1)*log((4*sqrt(2)*(x^4 - 1)^(1/4)*x^3 + 4*2^(1/4)*sqrt(x^4 - 1)*x^2 + 2^(3/4)*(3*x^4 - 1) + 4*(x^4 - 1)^(3/4)*x)/(x^4 + 1)) + 3*2^(3/4)*(x^4 - 1)*log((4*sqrt(2)*(x^4 - 1)^(1/4)*x^3 - 4*2^(1/4)*sqrt(x^4 - 1)*x^2 - 2^(3/4)*(3*x^4 - 1) + 4*(x^4 - 1)^(3/4)*x)/(x^4 + 1)) + 16*(x^4 - 1)^(3/4)*x)/(x^4 - 1)","B",0
890,1,90,0,0.513862," ","integrate((x^8+1)/(x^4+1)^(1/2)/(x^8-1),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{2} {\left(x^{4} + 1\right)} \arctan\left(\frac{\sqrt{2} x}{\sqrt{x^{4} + 1}}\right) - \sqrt{2} {\left(x^{4} + 1\right)} \log\left(\frac{x^{4} - 2 \, \sqrt{2} \sqrt{x^{4} + 1} x + 2 \, x^{2} + 1}{x^{4} - 2 \, x^{2} + 1}\right) + 8 \, \sqrt{x^{4} + 1} x}{16 \, {\left(x^{4} + 1\right)}}"," ",0,"-1/16*(2*sqrt(2)*(x^4 + 1)*arctan(sqrt(2)*x/sqrt(x^4 + 1)) - sqrt(2)*(x^4 + 1)*log((x^4 - 2*sqrt(2)*sqrt(x^4 + 1)*x + 2*x^2 + 1)/(x^4 - 2*x^2 + 1)) + 8*sqrt(x^4 + 1)*x)/(x^4 + 1)","A",0
891,1,247,0,0.600581," ","integrate((x^12-1)/(x^4+1)^(1/2)/(x^12+1),x, algorithm=""fricas"")","-\frac{4 \cdot 3^{\frac{3}{4}} {\left(x^{4} + 1\right)} \arctan\left(\frac{3^{\frac{3}{4}} {\left(2 \cdot 3^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)} + 3^{\frac{1}{4}} {\left(x^{8} + 5 \, x^{4} + 1\right)}\right)} + 6 \, \sqrt{x^{4} + 1} {\left(3^{\frac{3}{4}} x^{3} + 3^{\frac{1}{4}} {\left(x^{5} + x\right)}\right)}}{3 \, {\left(x^{8} - x^{4} + 1\right)}}\right) + 3^{\frac{3}{4}} {\left(x^{4} + 1\right)} \log\left(-\frac{3^{\frac{3}{4}} {\left(x^{8} + 5 \, x^{4} + 1\right)} + 6 \, {\left(x^{5} + \sqrt{3} x^{3} + x\right)} \sqrt{x^{4} + 1} + 6 \cdot 3^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}}{x^{8} - x^{4} + 1}\right) - 3^{\frac{3}{4}} {\left(x^{4} + 1\right)} \log\left(\frac{3^{\frac{3}{4}} {\left(x^{8} + 5 \, x^{4} + 1\right)} - 6 \, {\left(x^{5} + \sqrt{3} x^{3} + x\right)} \sqrt{x^{4} + 1} + 6 \cdot 3^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}}{x^{8} - x^{4} + 1}\right) + 12 \, \sqrt{x^{4} + 1} x}{36 \, {\left(x^{4} + 1\right)}}"," ",0,"-1/36*(4*3^(3/4)*(x^4 + 1)*arctan(1/3*(3^(3/4)*(2*3^(3/4)*(x^6 + x^2) + 3^(1/4)*(x^8 + 5*x^4 + 1)) + 6*sqrt(x^4 + 1)*(3^(3/4)*x^3 + 3^(1/4)*(x^5 + x)))/(x^8 - x^4 + 1)) + 3^(3/4)*(x^4 + 1)*log(-(3^(3/4)*(x^8 + 5*x^4 + 1) + 6*(x^5 + sqrt(3)*x^3 + x)*sqrt(x^4 + 1) + 6*3^(1/4)*(x^6 + x^2))/(x^8 - x^4 + 1)) - 3^(3/4)*(x^4 + 1)*log((3^(3/4)*(x^8 + 5*x^4 + 1) - 6*(x^5 + sqrt(3)*x^3 + x)*sqrt(x^4 + 1) + 6*3^(1/4)*(x^6 + x^2))/(x^8 - x^4 + 1)) + 12*sqrt(x^4 + 1)*x)/(x^4 + 1)","B",0
892,1,38,0,0.440920," ","integrate((x^2-1)/(x^2+1)^(1/2)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{2}{15} \, {\left(3 \, x^{3} - {\left(3 \, x^{2} - 23\right)} \sqrt{x^{2} + 1} - 19 \, x\right)} \sqrt{x + \sqrt{x^{2} + 1}}"," ",0,"2/15*(3*x^3 - (3*x^2 - 23)*sqrt(x^2 + 1) - 19*x)*sqrt(x + sqrt(x^2 + 1))","A",0
893,1,38,0,0.447166," ","integrate((x^2+1)^(1/2)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{2}{15} \, {\left(3 \, x^{3} - {\left(3 \, x^{2} + 7\right)} \sqrt{x^{2} + 1} + 11 \, x\right)} \sqrt{x + \sqrt{x^{2} + 1}}"," ",0,"2/15*(3*x^3 - (3*x^2 + 7)*sqrt(x^2 + 1) + 11*x)*sqrt(x + sqrt(x^2 + 1))","A",0
894,1,2040,0,0.516731," ","integrate(1/(a^3*x^2-b)/(a^3*x^3-b*x^2)^(1/3),x, algorithm=""fricas"")","-\sqrt{3} \left(\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} b^{2} x - \frac{{\left(a^{6} b^{5} - a^{3} b^{6}\right)} x}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} \left(\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{2}{3}} + {\left(a^{3} b x^{2} - \frac{{\left(a^{6} b^{4} - a^{3} b^{5}\right)} x^{2}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} \left(\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, \sqrt{3} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} b \left(\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} - \sqrt{3} x}{3 \, x}\right) - \sqrt{3} \left(-\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(-\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} b^{2} x + \frac{{\left(a^{6} b^{5} - a^{3} b^{6}\right)} x}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} \left(-\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{2}{3}} + {\left(a^{3} b x^{2} + \frac{{\left(a^{6} b^{4} - a^{3} b^{5}\right)} x^{2}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} \left(-\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, \sqrt{3} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} b \left(-\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} - \sqrt{3} x}{3 \, x}\right) + \frac{1}{2} \, \left(\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} \log\left(-\frac{{\left(a^{3} b^{2} x - \frac{{\left(a^{6} b^{5} - a^{3} b^{6}\right)} x}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} \left(\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, \left(-\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} \log\left(-\frac{{\left(a^{3} b^{2} x + \frac{{\left(a^{6} b^{5} - a^{3} b^{6}\right)} x}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} \left(-\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{4} \, \left(\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(a^{3} b^{2} x - \frac{{\left(a^{6} b^{5} - a^{3} b^{6}\right)} x}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} \left(\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{2}{3}} + {\left(a^{3} b x^{2} - \frac{{\left(a^{6} b^{4} - a^{3} b^{5}\right)} x^{2}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} \left(\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - \frac{1}{4} \, \left(-\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(a^{3} b^{2} x + \frac{{\left(a^{6} b^{5} - a^{3} b^{6}\right)} x}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} \left(-\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{2}{3}} + {\left(a^{3} b x^{2} + \frac{{\left(a^{6} b^{4} - a^{3} b^{5}\right)} x^{2}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} \left(-\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-sqrt(3)*(((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) + 1)/(a^3*b^3 - b^4))^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*(((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) + 1)/(a^3*b^3 - b^4))^(1/3)*sqrt(((a^3*b^2*x - (a^6*b^5 - a^3*b^6)*x/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7))*(a^3*x^3 - b*x^2)^(1/3)*(((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) + 1)/(a^3*b^3 - b^4))^(2/3) + (a^3*b*x^2 - (a^6*b^4 - a^3*b^5)*x^2/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7))*(((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) + 1)/(a^3*b^3 - b^4))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) - 2*sqrt(3)*(a^3*x^3 - b*x^2)^(1/3)*b*(((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) + 1)/(a^3*b^3 - b^4))^(1/3) - sqrt(3)*x)/x) - sqrt(3)*(-((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) - 1)/(a^3*b^3 - b^4))^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*(-((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) - 1)/(a^3*b^3 - b^4))^(1/3)*sqrt(((a^3*b^2*x + (a^6*b^5 - a^3*b^6)*x/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7))*(a^3*x^3 - b*x^2)^(1/3)*(-((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) - 1)/(a^3*b^3 - b^4))^(2/3) + (a^3*b*x^2 + (a^6*b^4 - a^3*b^5)*x^2/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7))*(-((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) - 1)/(a^3*b^3 - b^4))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) - 2*sqrt(3)*(a^3*x^3 - b*x^2)^(1/3)*b*(-((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) - 1)/(a^3*b^3 - b^4))^(1/3) - sqrt(3)*x)/x) + 1/2*(((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) + 1)/(a^3*b^3 - b^4))^(1/3)*log(-((a^3*b^2*x - (a^6*b^5 - a^3*b^6)*x/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7))*(((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) + 1)/(a^3*b^3 - b^4))^(2/3) - (a^3*x^3 - b*x^2)^(1/3))/x) + 1/2*(-((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) - 1)/(a^3*b^3 - b^4))^(1/3)*log(-((a^3*b^2*x + (a^6*b^5 - a^3*b^6)*x/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7))*(-((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) - 1)/(a^3*b^3 - b^4))^(2/3) - (a^3*x^3 - b*x^2)^(1/3))/x) - 1/4*(((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) + 1)/(a^3*b^3 - b^4))^(1/3)*log(((a^3*b^2*x - (a^6*b^5 - a^3*b^6)*x/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7))*(a^3*x^3 - b*x^2)^(1/3)*(((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) + 1)/(a^3*b^3 - b^4))^(2/3) + (a^3*b*x^2 - (a^6*b^4 - a^3*b^5)*x^2/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7))*(((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) + 1)/(a^3*b^3 - b^4))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) - 1/4*(-((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) - 1)/(a^3*b^3 - b^4))^(1/3)*log(((a^3*b^2*x + (a^6*b^5 - a^3*b^6)*x/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7))*(a^3*x^3 - b*x^2)^(1/3)*(-((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) - 1)/(a^3*b^3 - b^4))^(2/3) + (a^3*b*x^2 + (a^6*b^4 - a^3*b^5)*x^2/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7))*(-((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) - 1)/(a^3*b^3 - b^4))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2)","B",0
895,1,2040,0,0.534878," ","integrate(1/(a^3*x^2-b)/(a^3*x^3-b*x^2)^(1/3),x, algorithm=""fricas"")","-\sqrt{3} \left(\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} b^{2} x - \frac{{\left(a^{6} b^{5} - a^{3} b^{6}\right)} x}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} \left(\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{2}{3}} + {\left(a^{3} b x^{2} - \frac{{\left(a^{6} b^{4} - a^{3} b^{5}\right)} x^{2}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} \left(\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, \sqrt{3} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} b \left(\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} - \sqrt{3} x}{3 \, x}\right) - \sqrt{3} \left(-\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(-\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} b^{2} x + \frac{{\left(a^{6} b^{5} - a^{3} b^{6}\right)} x}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} \left(-\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{2}{3}} + {\left(a^{3} b x^{2} + \frac{{\left(a^{6} b^{4} - a^{3} b^{5}\right)} x^{2}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} \left(-\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, \sqrt{3} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} b \left(-\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} - \sqrt{3} x}{3 \, x}\right) + \frac{1}{2} \, \left(\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} \log\left(-\frac{{\left(a^{3} b^{2} x - \frac{{\left(a^{6} b^{5} - a^{3} b^{6}\right)} x}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} \left(\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, \left(-\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} \log\left(-\frac{{\left(a^{3} b^{2} x + \frac{{\left(a^{6} b^{5} - a^{3} b^{6}\right)} x}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} \left(-\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{4} \, \left(\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(a^{3} b^{2} x - \frac{{\left(a^{6} b^{5} - a^{3} b^{6}\right)} x}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} \left(\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{2}{3}} + {\left(a^{3} b x^{2} - \frac{{\left(a^{6} b^{4} - a^{3} b^{5}\right)} x^{2}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} \left(\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} + 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - \frac{1}{4} \, \left(-\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(a^{3} b^{2} x + \frac{{\left(a^{6} b^{5} - a^{3} b^{6}\right)} x}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} \left(-\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{2}{3}} + {\left(a^{3} b x^{2} + \frac{{\left(a^{6} b^{4} - a^{3} b^{5}\right)} x^{2}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}}\right)} \left(-\frac{\frac{a^{3} b^{3} - b^{4}}{\sqrt{a^{9} b^{5} - 2 \, a^{6} b^{6} + a^{3} b^{7}}} - 1}{a^{3} b^{3} - b^{4}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-sqrt(3)*(((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) + 1)/(a^3*b^3 - b^4))^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*(((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) + 1)/(a^3*b^3 - b^4))^(1/3)*sqrt(((a^3*b^2*x - (a^6*b^5 - a^3*b^6)*x/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7))*(a^3*x^3 - b*x^2)^(1/3)*(((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) + 1)/(a^3*b^3 - b^4))^(2/3) + (a^3*b*x^2 - (a^6*b^4 - a^3*b^5)*x^2/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7))*(((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) + 1)/(a^3*b^3 - b^4))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) - 2*sqrt(3)*(a^3*x^3 - b*x^2)^(1/3)*b*(((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) + 1)/(a^3*b^3 - b^4))^(1/3) - sqrt(3)*x)/x) - sqrt(3)*(-((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) - 1)/(a^3*b^3 - b^4))^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*(-((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) - 1)/(a^3*b^3 - b^4))^(1/3)*sqrt(((a^3*b^2*x + (a^6*b^5 - a^3*b^6)*x/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7))*(a^3*x^3 - b*x^2)^(1/3)*(-((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) - 1)/(a^3*b^3 - b^4))^(2/3) + (a^3*b*x^2 + (a^6*b^4 - a^3*b^5)*x^2/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7))*(-((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) - 1)/(a^3*b^3 - b^4))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) - 2*sqrt(3)*(a^3*x^3 - b*x^2)^(1/3)*b*(-((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) - 1)/(a^3*b^3 - b^4))^(1/3) - sqrt(3)*x)/x) + 1/2*(((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) + 1)/(a^3*b^3 - b^4))^(1/3)*log(-((a^3*b^2*x - (a^6*b^5 - a^3*b^6)*x/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7))*(((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) + 1)/(a^3*b^3 - b^4))^(2/3) - (a^3*x^3 - b*x^2)^(1/3))/x) + 1/2*(-((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) - 1)/(a^3*b^3 - b^4))^(1/3)*log(-((a^3*b^2*x + (a^6*b^5 - a^3*b^6)*x/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7))*(-((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) - 1)/(a^3*b^3 - b^4))^(2/3) - (a^3*x^3 - b*x^2)^(1/3))/x) - 1/4*(((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) + 1)/(a^3*b^3 - b^4))^(1/3)*log(((a^3*b^2*x - (a^6*b^5 - a^3*b^6)*x/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7))*(a^3*x^3 - b*x^2)^(1/3)*(((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) + 1)/(a^3*b^3 - b^4))^(2/3) + (a^3*b*x^2 - (a^6*b^4 - a^3*b^5)*x^2/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7))*(((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) + 1)/(a^3*b^3 - b^4))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) - 1/4*(-((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) - 1)/(a^3*b^3 - b^4))^(1/3)*log(((a^3*b^2*x + (a^6*b^5 - a^3*b^6)*x/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7))*(a^3*x^3 - b*x^2)^(1/3)*(-((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) - 1)/(a^3*b^3 - b^4))^(2/3) + (a^3*b*x^2 + (a^6*b^4 - a^3*b^5)*x^2/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7))*(-((a^3*b^3 - b^4)/sqrt(a^9*b^5 - 2*a^6*b^6 + a^3*b^7) - 1)/(a^3*b^3 - b^4))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2)","B",0
896,1,2062,0,0.539761," ","integrate(1/(a*x^2+b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","\sqrt{3} \left(-\frac{a^{2} + {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(-\frac{a^{2} + {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} b^{2} x - {\left(a^{6} b^{5} + a b^{8}\right)} x \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} \left(-\frac{a^{2} + {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{2}{3}} - {\left(a^{3} b x^{2} - {\left(a^{6} b^{4} + a b^{7}\right)} x^{2} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}\right)} \left(-\frac{a^{2} + {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} b \left(-\frac{a^{2} + {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} + \sqrt{3} x}{3 \, x}\right) + \sqrt{3} \left(-\frac{a^{2} - {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(-\frac{a^{2} - {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} b^{2} x + {\left(a^{6} b^{5} + a b^{8}\right)} x \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} \left(-\frac{a^{2} - {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{2}{3}} - {\left(a^{3} b x^{2} + {\left(a^{6} b^{4} + a b^{7}\right)} x^{2} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}\right)} \left(-\frac{a^{2} - {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} b \left(-\frac{a^{2} - {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} + \sqrt{3} x}{3 \, x}\right) + \frac{1}{2} \, \left(-\frac{a^{2} + {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} \log\left(-\frac{{\left(a^{3} b^{2} x - {\left(a^{6} b^{5} + a b^{8}\right)} x \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}\right)} \left(-\frac{a^{2} + {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, \left(-\frac{a^{2} - {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} \log\left(-\frac{{\left(a^{3} b^{2} x + {\left(a^{6} b^{5} + a b^{8}\right)} x \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}\right)} \left(-\frac{a^{2} - {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{4} \, \left(-\frac{a^{2} + {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(a^{3} b^{2} x - {\left(a^{6} b^{5} + a b^{8}\right)} x \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} \left(-\frac{a^{2} + {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{2}{3}} - {\left(a^{3} b x^{2} - {\left(a^{6} b^{4} + a b^{7}\right)} x^{2} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}\right)} \left(-\frac{a^{2} + {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - \frac{1}{4} \, \left(-\frac{a^{2} - {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(a^{3} b^{2} x + {\left(a^{6} b^{5} + a b^{8}\right)} x \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} \left(-\frac{a^{2} - {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{2}{3}} - {\left(a^{3} b x^{2} + {\left(a^{6} b^{4} + a b^{7}\right)} x^{2} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}\right)} \left(-\frac{a^{2} - {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"sqrt(3)*(-(a^2 + (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*(-(a^2 + (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3)*sqrt(((a^3*b^2*x - (a^6*b^5 + a*b^8)*x*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))*(a^3*x^3 + b^2*x^2)^(1/3)*(-(a^2 + (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(2/3) - (a^3*b*x^2 - (a^6*b^4 + a*b^7)*x^2*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))*(-(a^2 + (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3)*b*(-(a^2 + (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3) + sqrt(3)*x)/x) + sqrt(3)*(-(a^2 - (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*(-(a^2 - (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3)*sqrt(((a^3*b^2*x + (a^6*b^5 + a*b^8)*x*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))*(a^3*x^3 + b^2*x^2)^(1/3)*(-(a^2 - (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(2/3) - (a^3*b*x^2 + (a^6*b^4 + a*b^7)*x^2*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))*(-(a^2 - (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3)*b*(-(a^2 - (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3) + sqrt(3)*x)/x) + 1/2*(-(a^2 + (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3)*log(-((a^3*b^2*x - (a^6*b^5 + a*b^8)*x*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))*(-(a^2 + (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(2/3) - (a^3*x^3 + b^2*x^2)^(1/3))/x) + 1/2*(-(a^2 - (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3)*log(-((a^3*b^2*x + (a^6*b^5 + a*b^8)*x*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))*(-(a^2 - (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(2/3) - (a^3*x^3 + b^2*x^2)^(1/3))/x) - 1/4*(-(a^2 + (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3)*log(((a^3*b^2*x - (a^6*b^5 + a*b^8)*x*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))*(a^3*x^3 + b^2*x^2)^(1/3)*(-(a^2 + (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(2/3) - (a^3*b*x^2 - (a^6*b^4 + a*b^7)*x^2*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))*(-(a^2 + (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - 1/4*(-(a^2 - (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3)*log(((a^3*b^2*x + (a^6*b^5 + a*b^8)*x*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))*(a^3*x^3 + b^2*x^2)^(1/3)*(-(a^2 - (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(2/3) - (a^3*b*x^2 + (a^6*b^4 + a*b^7)*x^2*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))*(-(a^2 - (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2)","B",0
897,1,2062,0,0.528651," ","integrate(1/(a*x^2+b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","\sqrt{3} \left(-\frac{a^{2} + {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(-\frac{a^{2} + {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} b^{2} x - {\left(a^{6} b^{5} + a b^{8}\right)} x \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} \left(-\frac{a^{2} + {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{2}{3}} - {\left(a^{3} b x^{2} - {\left(a^{6} b^{4} + a b^{7}\right)} x^{2} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}\right)} \left(-\frac{a^{2} + {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} b \left(-\frac{a^{2} + {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} + \sqrt{3} x}{3 \, x}\right) + \sqrt{3} \left(-\frac{a^{2} - {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(-\frac{a^{2} - {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} b^{2} x + {\left(a^{6} b^{5} + a b^{8}\right)} x \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} \left(-\frac{a^{2} - {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{2}{3}} - {\left(a^{3} b x^{2} + {\left(a^{6} b^{4} + a b^{7}\right)} x^{2} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}\right)} \left(-\frac{a^{2} - {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} b \left(-\frac{a^{2} - {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} + \sqrt{3} x}{3 \, x}\right) + \frac{1}{2} \, \left(-\frac{a^{2} + {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} \log\left(-\frac{{\left(a^{3} b^{2} x - {\left(a^{6} b^{5} + a b^{8}\right)} x \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}\right)} \left(-\frac{a^{2} + {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, \left(-\frac{a^{2} - {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} \log\left(-\frac{{\left(a^{3} b^{2} x + {\left(a^{6} b^{5} + a b^{8}\right)} x \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}\right)} \left(-\frac{a^{2} - {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{4} \, \left(-\frac{a^{2} + {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(a^{3} b^{2} x - {\left(a^{6} b^{5} + a b^{8}\right)} x \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} \left(-\frac{a^{2} + {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{2}{3}} - {\left(a^{3} b x^{2} - {\left(a^{6} b^{4} + a b^{7}\right)} x^{2} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}\right)} \left(-\frac{a^{2} + {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - \frac{1}{4} \, \left(-\frac{a^{2} - {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(a^{3} b^{2} x + {\left(a^{6} b^{5} + a b^{8}\right)} x \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} \left(-\frac{a^{2} - {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{2}{3}} - {\left(a^{3} b x^{2} + {\left(a^{6} b^{4} + a b^{7}\right)} x^{2} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}\right)} \left(-\frac{a^{2} - {\left(a^{5} b^{3} + b^{6}\right)} \sqrt{-\frac{1}{a^{11} b^{3} + 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} + b^{6}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"sqrt(3)*(-(a^2 + (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*(-(a^2 + (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3)*sqrt(((a^3*b^2*x - (a^6*b^5 + a*b^8)*x*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))*(a^3*x^3 + b^2*x^2)^(1/3)*(-(a^2 + (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(2/3) - (a^3*b*x^2 - (a^6*b^4 + a*b^7)*x^2*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))*(-(a^2 + (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3)*b*(-(a^2 + (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3) + sqrt(3)*x)/x) + sqrt(3)*(-(a^2 - (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*(-(a^2 - (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3)*sqrt(((a^3*b^2*x + (a^6*b^5 + a*b^8)*x*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))*(a^3*x^3 + b^2*x^2)^(1/3)*(-(a^2 - (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(2/3) - (a^3*b*x^2 + (a^6*b^4 + a*b^7)*x^2*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))*(-(a^2 - (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3)*b*(-(a^2 - (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3) + sqrt(3)*x)/x) + 1/2*(-(a^2 + (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3)*log(-((a^3*b^2*x - (a^6*b^5 + a*b^8)*x*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))*(-(a^2 + (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(2/3) - (a^3*x^3 + b^2*x^2)^(1/3))/x) + 1/2*(-(a^2 - (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3)*log(-((a^3*b^2*x + (a^6*b^5 + a*b^8)*x*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))*(-(a^2 - (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(2/3) - (a^3*x^3 + b^2*x^2)^(1/3))/x) - 1/4*(-(a^2 + (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3)*log(((a^3*b^2*x - (a^6*b^5 + a*b^8)*x*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))*(a^3*x^3 + b^2*x^2)^(1/3)*(-(a^2 + (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(2/3) - (a^3*b*x^2 - (a^6*b^4 + a*b^7)*x^2*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))*(-(a^2 + (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - 1/4*(-(a^2 - (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3)*log(((a^3*b^2*x + (a^6*b^5 + a*b^8)*x*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))*(a^3*x^3 + b^2*x^2)^(1/3)*(-(a^2 - (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(2/3) - (a^3*b*x^2 + (a^6*b^4 + a*b^7)*x^2*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))*(-(a^2 - (a^5*b^3 + b^6)*sqrt(-1/(a^11*b^3 + 2*a^6*b^6 + a*b^9)))/(a^5*b^3 + b^6))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2)","B",0
898,1,104,0,2.239209," ","integrate(x^7*(x^4-x)^(1/4),x, algorithm=""fricas"")","\frac{1}{288} \, {\left(32 \, x^{8} - 4 \, x^{5} - 7 \, x^{2}\right)} {\left(x^{4} - x\right)}^{\frac{1}{4}} - \frac{7}{384} \, \arctan\left(2 \, {\left(x^{4} - x\right)}^{\frac{1}{4}} x^{2} + 2 \, {\left(x^{4} - x\right)}^{\frac{3}{4}}\right) + \frac{7}{384} \, \log\left(2 \, x^{3} - 2 \, {\left(x^{4} - x\right)}^{\frac{1}{4}} x^{2} + 2 \, \sqrt{x^{4} - x} x - 2 \, {\left(x^{4} - x\right)}^{\frac{3}{4}} - 1\right)"," ",0,"1/288*(32*x^8 - 4*x^5 - 7*x^2)*(x^4 - x)^(1/4) - 7/384*arctan(2*(x^4 - x)^(1/4)*x^2 + 2*(x^4 - x)^(3/4)) + 7/384*log(2*x^3 - 2*(x^4 - x)^(1/4)*x^2 + 2*sqrt(x^4 - x)*x - 2*(x^4 - x)^(3/4) - 1)","A",0
899,-2,0,0,0.000000," ","integrate((x^2+2)*(x^4-x^2-1)^(1/4)*(x^4+x^2+1)/x^6/(x^2+1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
900,1,128,0,0.465912," ","integrate((x^4+x^3)^(1/4)/x^2/(x^2-1),x, algorithm=""fricas"")","\frac{4 \cdot 8^{\frac{3}{4}} x \arctan\left(\frac{8^{\frac{1}{4}} x \sqrt{\frac{\sqrt{2} x^{2} + \sqrt{x^{4} + x^{3}}}{x^{2}}} - 8^{\frac{1}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{2 \, x}\right) - 8^{\frac{3}{4}} x \log\left(\frac{8^{\frac{3}{4}} x + 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 8^{\frac{3}{4}} x \log\left(-\frac{8^{\frac{3}{4}} x - 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 32 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{8 \, x}"," ",0,"1/8*(4*8^(3/4)*x*arctan(1/2*(8^(1/4)*x*sqrt((sqrt(2)*x^2 + sqrt(x^4 + x^3))/x^2) - 8^(1/4)*(x^4 + x^3)^(1/4))/x) - 8^(3/4)*x*log((8^(3/4)*x + 4*(x^4 + x^3)^(1/4))/x) + 8^(3/4)*x*log(-(8^(3/4)*x - 4*(x^4 + x^3)^(1/4))/x) + 32*(x^4 + x^3)^(1/4))/x","B",0
901,-1,0,0,0.000000," ","integrate((2*a*x^4+b)/x^2/(a*x^4+b)^(3/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
902,1,262,0,12.532277," ","integrate((x^2+1)*(x^6+x^2)^(1/4)/x^2/(x^2-1),x, algorithm=""fricas"")","\frac{4 \cdot 2^{\frac{1}{4}} x \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{6} + x^{2}} x + 2^{\frac{1}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) - 2^{\frac{1}{4}} x \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} x + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) + 2^{\frac{1}{4}} x \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} x + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) + 8 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}}{4 \, x}"," ",0,"1/4*(4*2^(1/4)*x*arctan(1/2*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + 2^(3/4)*(2*2^(3/4)*sqrt(x^6 + x^2)*x + 2^(1/4)*(x^5 + 2*x^3 + x)) + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) - 2^(1/4)*x*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 2^(3/4)*(x^5 + 2*x^3 + x) + 4*2^(1/4)*sqrt(x^6 + x^2)*x + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 2^(1/4)*x*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 - 2^(3/4)*(x^5 + 2*x^3 + x) - 4*2^(1/4)*sqrt(x^6 + x^2)*x + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 8*(x^6 + x^2)^(1/4))/x","B",0
903,1,61,0,0.477456," ","integrate((x^3-1)^(1/2)*(x^6-x^3+1)/x^10/(x^3+2),x, algorithm=""fricas"")","-\frac{21 \, \sqrt{3} x^{9} \arctan\left(\frac{1}{3} \, \sqrt{3} \sqrt{x^{3} - 1}\right) - 39 \, x^{9} \arctan\left(\sqrt{x^{3} - 1}\right) + 2 \, {\left(12 \, x^{6} - 5 \, x^{3} + 2\right)} \sqrt{x^{3} - 1}}{72 \, x^{9}}"," ",0,"-1/72*(21*sqrt(3)*x^9*arctan(1/3*sqrt(3)*sqrt(x^3 - 1)) - 39*x^9*arctan(sqrt(x^3 - 1)) + 2*(12*x^6 - 5*x^3 + 2)*sqrt(x^3 - 1))/x^9","A",0
904,1,60,0,0.526629," ","integrate((x^2+x*(x^2+x)^(1/2))^(1/2)/x/(x^2+x)^(1/2),x, algorithm=""fricas"")","\sqrt{2} \log\left(\frac{4 \, x^{2} + 2 \, \sqrt{x^{2} + \sqrt{x^{2} + x} x} {\left(\sqrt{2} x + \sqrt{2} \sqrt{x^{2} + x}\right)} + 4 \, \sqrt{x^{2} + x} x + x}{x}\right)"," ",0,"sqrt(2)*log((4*x^2 + 2*sqrt(x^2 + sqrt(x^2 + x)*x)*(sqrt(2)*x + sqrt(2)*sqrt(x^2 + x)) + 4*sqrt(x^2 + x)*x + x)/x)","A",0
905,1,2012,0,0.681874," ","integrate(1/(a*x^2-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","-\sqrt{3} \left(\frac{a^{2} + \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(\frac{a^{2} + \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} b^{2} x - \frac{{\left(a^{6} b^{5} - a b^{8}\right)} x}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} \left(\frac{a^{2} + \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{2}{3}} + {\left(a^{3} b x^{2} - \frac{{\left(a^{6} b^{4} - a b^{7}\right)} x^{2}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}\right)} \left(\frac{a^{2} + \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} b \left(\frac{a^{2} + \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} - \sqrt{3} x}{3 \, x}\right) - \sqrt{3} \left(\frac{a^{2} - \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(\frac{a^{2} - \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} b^{2} x + \frac{{\left(a^{6} b^{5} - a b^{8}\right)} x}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} \left(\frac{a^{2} - \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{2}{3}} + {\left(a^{3} b x^{2} + \frac{{\left(a^{6} b^{4} - a b^{7}\right)} x^{2}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}\right)} \left(\frac{a^{2} - \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} b \left(\frac{a^{2} - \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} - \sqrt{3} x}{3 \, x}\right) + \frac{1}{2} \, \left(\frac{a^{2} + \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} \log\left(-\frac{{\left(a^{3} b^{2} x - \frac{{\left(a^{6} b^{5} - a b^{8}\right)} x}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}\right)} \left(\frac{a^{2} + \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, \left(\frac{a^{2} - \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} \log\left(-\frac{{\left(a^{3} b^{2} x + \frac{{\left(a^{6} b^{5} - a b^{8}\right)} x}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}\right)} \left(\frac{a^{2} - \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{4} \, \left(\frac{a^{2} + \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(a^{3} b^{2} x - \frac{{\left(a^{6} b^{5} - a b^{8}\right)} x}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} \left(\frac{a^{2} + \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{2}{3}} + {\left(a^{3} b x^{2} - \frac{{\left(a^{6} b^{4} - a b^{7}\right)} x^{2}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}\right)} \left(\frac{a^{2} + \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - \frac{1}{4} \, \left(\frac{a^{2} - \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(a^{3} b^{2} x + \frac{{\left(a^{6} b^{5} - a b^{8}\right)} x}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} \left(\frac{a^{2} - \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{2}{3}} + {\left(a^{3} b x^{2} + \frac{{\left(a^{6} b^{4} - a b^{7}\right)} x^{2}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}\right)} \left(\frac{a^{2} - \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-sqrt(3)*((a^2 + (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*((a^2 + (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3)*sqrt(((a^3*b^2*x - (a^6*b^5 - a*b^8)*x/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))*(a^3*x^3 + b^2*x^2)^(1/3)*((a^2 + (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(2/3) + (a^3*b*x^2 - (a^6*b^4 - a*b^7)*x^2/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))*((a^2 + (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3)*b*((a^2 + (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3) - sqrt(3)*x)/x) - sqrt(3)*((a^2 - (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*((a^2 - (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3)*sqrt(((a^3*b^2*x + (a^6*b^5 - a*b^8)*x/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))*(a^3*x^3 + b^2*x^2)^(1/3)*((a^2 - (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(2/3) + (a^3*b*x^2 + (a^6*b^4 - a*b^7)*x^2/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))*((a^2 - (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3)*b*((a^2 - (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3) - sqrt(3)*x)/x) + 1/2*((a^2 + (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3)*log(-((a^3*b^2*x - (a^6*b^5 - a*b^8)*x/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))*((a^2 + (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(2/3) - (a^3*x^3 + b^2*x^2)^(1/3))/x) + 1/2*((a^2 - (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3)*log(-((a^3*b^2*x + (a^6*b^5 - a*b^8)*x/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))*((a^2 - (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(2/3) - (a^3*x^3 + b^2*x^2)^(1/3))/x) - 1/4*((a^2 + (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3)*log(((a^3*b^2*x - (a^6*b^5 - a*b^8)*x/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))*(a^3*x^3 + b^2*x^2)^(1/3)*((a^2 + (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(2/3) + (a^3*b*x^2 - (a^6*b^4 - a*b^7)*x^2/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))*((a^2 + (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - 1/4*((a^2 - (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3)*log(((a^3*b^2*x + (a^6*b^5 - a*b^8)*x/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))*(a^3*x^3 + b^2*x^2)^(1/3)*((a^2 - (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(2/3) + (a^3*b*x^2 + (a^6*b^4 - a*b^7)*x^2/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))*((a^2 - (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2)","B",0
906,1,2012,0,0.713125," ","integrate(1/(a*x^2-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","-\sqrt{3} \left(\frac{a^{2} + \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(\frac{a^{2} + \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} b^{2} x - \frac{{\left(a^{6} b^{5} - a b^{8}\right)} x}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} \left(\frac{a^{2} + \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{2}{3}} + {\left(a^{3} b x^{2} - \frac{{\left(a^{6} b^{4} - a b^{7}\right)} x^{2}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}\right)} \left(\frac{a^{2} + \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} b \left(\frac{a^{2} + \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} - \sqrt{3} x}{3 \, x}\right) - \sqrt{3} \left(\frac{a^{2} - \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x \left(\frac{a^{2} - \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} b^{2} x + \frac{{\left(a^{6} b^{5} - a b^{8}\right)} x}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} \left(\frac{a^{2} - \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{2}{3}} + {\left(a^{3} b x^{2} + \frac{{\left(a^{6} b^{4} - a b^{7}\right)} x^{2}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}\right)} \left(\frac{a^{2} - \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} b \left(\frac{a^{2} - \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} - \sqrt{3} x}{3 \, x}\right) + \frac{1}{2} \, \left(\frac{a^{2} + \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} \log\left(-\frac{{\left(a^{3} b^{2} x - \frac{{\left(a^{6} b^{5} - a b^{8}\right)} x}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}\right)} \left(\frac{a^{2} + \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, \left(\frac{a^{2} - \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} \log\left(-\frac{{\left(a^{3} b^{2} x + \frac{{\left(a^{6} b^{5} - a b^{8}\right)} x}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}\right)} \left(\frac{a^{2} - \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{4} \, \left(\frac{a^{2} + \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(a^{3} b^{2} x - \frac{{\left(a^{6} b^{5} - a b^{8}\right)} x}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} \left(\frac{a^{2} + \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{2}{3}} + {\left(a^{3} b x^{2} - \frac{{\left(a^{6} b^{4} - a b^{7}\right)} x^{2}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}\right)} \left(\frac{a^{2} + \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - \frac{1}{4} \, \left(\frac{a^{2} - \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(a^{3} b^{2} x + \frac{{\left(a^{6} b^{5} - a b^{8}\right)} x}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} \left(\frac{a^{2} - \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{2}{3}} + {\left(a^{3} b x^{2} + \frac{{\left(a^{6} b^{4} - a b^{7}\right)} x^{2}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}\right)} \left(\frac{a^{2} - \frac{a^{5} b^{3} - b^{6}}{\sqrt{a^{11} b^{3} - 2 \, a^{6} b^{6} + a b^{9}}}}{a^{5} b^{3} - b^{6}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-sqrt(3)*((a^2 + (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*((a^2 + (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3)*sqrt(((a^3*b^2*x - (a^6*b^5 - a*b^8)*x/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))*(a^3*x^3 + b^2*x^2)^(1/3)*((a^2 + (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(2/3) + (a^3*b*x^2 - (a^6*b^4 - a*b^7)*x^2/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))*((a^2 + (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3)*b*((a^2 + (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3) - sqrt(3)*x)/x) - sqrt(3)*((a^2 - (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3)*arctan(1/3*(2*sqrt(3)*b*x*((a^2 - (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3)*sqrt(((a^3*b^2*x + (a^6*b^5 - a*b^8)*x/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))*(a^3*x^3 + b^2*x^2)^(1/3)*((a^2 - (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(2/3) + (a^3*b*x^2 + (a^6*b^4 - a*b^7)*x^2/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))*((a^2 - (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3)*b*((a^2 - (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3) - sqrt(3)*x)/x) + 1/2*((a^2 + (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3)*log(-((a^3*b^2*x - (a^6*b^5 - a*b^8)*x/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))*((a^2 + (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(2/3) - (a^3*x^3 + b^2*x^2)^(1/3))/x) + 1/2*((a^2 - (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3)*log(-((a^3*b^2*x + (a^6*b^5 - a*b^8)*x/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))*((a^2 - (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(2/3) - (a^3*x^3 + b^2*x^2)^(1/3))/x) - 1/4*((a^2 + (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3)*log(((a^3*b^2*x - (a^6*b^5 - a*b^8)*x/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))*(a^3*x^3 + b^2*x^2)^(1/3)*((a^2 + (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(2/3) + (a^3*b*x^2 - (a^6*b^4 - a*b^7)*x^2/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))*((a^2 + (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - 1/4*((a^2 - (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3)*log(((a^3*b^2*x + (a^6*b^5 - a*b^8)*x/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))*(a^3*x^3 + b^2*x^2)^(1/3)*((a^2 - (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(2/3) + (a^3*b*x^2 + (a^6*b^4 - a*b^7)*x^2/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))*((a^2 - (a^5*b^3 - b^6)/sqrt(a^11*b^3 - 2*a^6*b^6 + a*b^9))/(a^5*b^3 - b^6))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2)","B",0
907,1,338,0,1.953537," ","integrate((-a+x)*(-b+x)*(3*a*b-2*(a+b)*x+x^2)/x^2/(x*(-a+x)*(-b+x))^(1/2)/(-a*b+(a+b)*x-x^2+d*x^3),x, algorithm=""fricas"")","\left[\frac{\sqrt{d} x^{2} \log\left(\frac{d^{2} x^{6} + 6 \, d x^{5} - {\left(6 \, {\left(a + b\right)} d - 1\right)} x^{4} + a^{2} b^{2} + 2 \, {\left(3 \, a b d - a - b\right)} x^{3} + {\left(a^{2} + 4 \, a b + b^{2}\right)} x^{2} - 4 \, {\left(d x^{4} + a b x - {\left(a + b\right)} x^{2} + x^{3}\right)} \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} \sqrt{d} - 2 \, {\left(a^{2} b + a b^{2}\right)} x}{d^{2} x^{6} - 2 \, d x^{5} + {\left(2 \, {\left(a + b\right)} d + 1\right)} x^{4} + a^{2} b^{2} - 2 \, {\left(a b d + a + b\right)} x^{3} + {\left(a^{2} + 4 \, a b + b^{2}\right)} x^{2} - 2 \, {\left(a^{2} b + a b^{2}\right)} x}\right) + 4 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}}}{2 \, x^{2}}, \frac{\sqrt{-d} x^{2} \arctan\left(\frac{{\left(d x^{3} + a b - {\left(a + b\right)} x + x^{2}\right)} \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} \sqrt{-d}}{2 \, {\left(a b d x^{2} - {\left(a + b\right)} d x^{3} + d x^{4}\right)}}\right) + 2 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}}}{x^{2}}\right]"," ",0,"[1/2*(sqrt(d)*x^2*log((d^2*x^6 + 6*d*x^5 - (6*(a + b)*d - 1)*x^4 + a^2*b^2 + 2*(3*a*b*d - a - b)*x^3 + (a^2 + 4*a*b + b^2)*x^2 - 4*(d*x^4 + a*b*x - (a + b)*x^2 + x^3)*sqrt(a*b*x - (a + b)*x^2 + x^3)*sqrt(d) - 2*(a^2*b + a*b^2)*x)/(d^2*x^6 - 2*d*x^5 + (2*(a + b)*d + 1)*x^4 + a^2*b^2 - 2*(a*b*d + a + b)*x^3 + (a^2 + 4*a*b + b^2)*x^2 - 2*(a^2*b + a*b^2)*x)) + 4*sqrt(a*b*x - (a + b)*x^2 + x^3))/x^2, (sqrt(-d)*x^2*arctan(1/2*(d*x^3 + a*b - (a + b)*x + x^2)*sqrt(a*b*x - (a + b)*x^2 + x^3)*sqrt(-d)/(a*b*d*x^2 - (a + b)*d*x^3 + d*x^4)) + 2*sqrt(a*b*x - (a + b)*x^2 + x^3))/x^2]","A",0
908,1,218,0,1.878746," ","integrate(1/(x^3+1)/(x^4-x)^(1/4),x, algorithm=""fricas"")","-\frac{1}{3} \cdot 2^{\frac{3}{4}} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{4} - x\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{4} - x} x + 2^{\frac{1}{4}} {\left(3 \, x^{3} - 1\right)}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} - x\right)}^{\frac{3}{4}}}{2 \, {\left(x^{3} + 1\right)}}\right) + \frac{1}{12} \cdot 2^{\frac{3}{4}} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} - x\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(3 \, x^{3} - 1\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{4} - x} x + 4 \, {\left(x^{4} - x\right)}^{\frac{3}{4}}}{x^{3} + 1}\right) - \frac{1}{12} \cdot 2^{\frac{3}{4}} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} - x\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(3 \, x^{3} - 1\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{4} - x} x + 4 \, {\left(x^{4} - x\right)}^{\frac{3}{4}}}{x^{3} + 1}\right)"," ",0,"-1/3*2^(3/4)*arctan(1/2*(4*2^(3/4)*(x^4 - x)^(1/4)*x^2 + 2^(3/4)*(2*2^(3/4)*sqrt(x^4 - x)*x + 2^(1/4)*(3*x^3 - 1)) + 4*2^(1/4)*(x^4 - x)^(3/4))/(x^3 + 1)) + 1/12*2^(3/4)*log((4*sqrt(2)*(x^4 - x)^(1/4)*x^2 + 2^(3/4)*(3*x^3 - 1) + 4*2^(1/4)*sqrt(x^4 - x)*x + 4*(x^4 - x)^(3/4))/(x^3 + 1)) - 1/12*2^(3/4)*log((4*sqrt(2)*(x^4 - x)^(1/4)*x^2 - 2^(3/4)*(3*x^3 - 1) - 4*2^(1/4)*sqrt(x^4 - x)*x + 4*(x^4 - x)^(3/4))/(x^3 + 1))","B",0
909,1,94,0,0.435408," ","integrate(x*(x^4-x^2)^(1/2)/(2*x^2-3),x, algorithm=""fricas"")","\frac{1}{8} \, \sqrt{3} \log\left(\frac{8 \, x^{2} - \sqrt{3} {\left(4 \, x^{2} - 3\right)} - 2 \, \sqrt{x^{4} - x^{2}} {\left(2 \, \sqrt{3} - 3\right)} - 6}{2 \, x^{2} - 3}\right) + \frac{1}{4} \, \sqrt{x^{4} - x^{2}} - \frac{1}{2} \, \log\left(-\frac{x^{2} - \sqrt{x^{4} - x^{2}}}{x}\right)"," ",0,"1/8*sqrt(3)*log((8*x^2 - sqrt(3)*(4*x^2 - 3) - 2*sqrt(x^4 - x^2)*(2*sqrt(3) - 3) - 6)/(2*x^2 - 3)) + 1/4*sqrt(x^4 - x^2) - 1/2*log(-(x^2 - sqrt(x^4 - x^2))/x)","A",0
910,1,87,0,0.533695," ","integrate((x^4-1)*(x^4+1)*(x^4-x^2-1)^(1/2)/(2*x^4-x^2-2)^2/(2*x^4+x^2-2),x, algorithm=""fricas"")","-\frac{\sqrt{3} \sqrt{2} {\left(2 \, x^{4} - x^{2} - 2\right)} \arctan\left(\frac{2 \, \sqrt{3} \sqrt{2} \sqrt{x^{4} - x^{2} - 1} x}{2 \, x^{4} - 5 \, x^{2} - 2}\right) + 4 \, \sqrt{x^{4} - x^{2} - 1} x}{64 \, {\left(2 \, x^{4} - x^{2} - 2\right)}}"," ",0,"-1/64*(sqrt(3)*sqrt(2)*(2*x^4 - x^2 - 2)*arctan(2*sqrt(3)*sqrt(2)*sqrt(x^4 - x^2 - 1)*x/(2*x^4 - 5*x^2 - 2)) + 4*sqrt(x^4 - x^2 - 1)*x)/(2*x^4 - x^2 - 2)","A",0
911,-1,0,0,0.000000," ","integrate((a*x^2+b)/(x^4+a*x^2+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
912,-1,0,0,0.000000," ","integrate((a*x^2+b)/(x^4+a*x^2+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
913,1,162,0,1.340514," ","integrate((a*x^2-b)*(a^2*x^4+b^2)^(1/2)/x^2/(a*x^2+b),x, algorithm=""fricas"")","\left[\frac{\sqrt{2} \sqrt{-a b} x \log\left(\frac{a^{2} x^{4} - 2 \, a b x^{2} - 2 \, \sqrt{2} \sqrt{a^{2} x^{4} + b^{2}} \sqrt{-a b} x + b^{2}}{a^{2} x^{4} + 2 \, a b x^{2} + b^{2}}\right) + 2 \, \sqrt{a^{2} x^{4} + b^{2}}}{2 \, x}, -\frac{\sqrt{2} \sqrt{a b} x \arctan\left(\frac{\sqrt{2} \sqrt{a^{2} x^{4} + b^{2}} \sqrt{a b}}{2 \, a b x}\right) - \sqrt{a^{2} x^{4} + b^{2}}}{x}\right]"," ",0,"[1/2*(sqrt(2)*sqrt(-a*b)*x*log((a^2*x^4 - 2*a*b*x^2 - 2*sqrt(2)*sqrt(a^2*x^4 + b^2)*sqrt(-a*b)*x + b^2)/(a^2*x^4 + 2*a*b*x^2 + b^2)) + 2*sqrt(a^2*x^4 + b^2))/x, -(sqrt(2)*sqrt(a*b)*x*arctan(1/2*sqrt(2)*sqrt(a^2*x^4 + b^2)*sqrt(a*b)/(a*b*x)) - sqrt(a^2*x^4 + b^2))/x]","A",0
914,1,138,0,0.576700," ","integrate((a*x^3+4*b)/(a*x^3+b)/(c*x^4-a*x^3-b)^(1/4),x, algorithm=""fricas"")","\frac{4 \, \arctan\left(\frac{\frac{x \sqrt{\frac{\sqrt{c} x^{2} + \sqrt{c x^{4} - a x^{3} - b}}{x^{2}}}}{c^{\frac{1}{4}}} - \frac{{\left(c x^{4} - a x^{3} - b\right)}^{\frac{1}{4}}}{c^{\frac{1}{4}}}}{x}\right)}{c^{\frac{1}{4}}} + \frac{\log\left(\frac{c^{\frac{1}{4}} x + {\left(c x^{4} - a x^{3} - b\right)}^{\frac{1}{4}}}{x}\right)}{c^{\frac{1}{4}}} - \frac{\log\left(-\frac{c^{\frac{1}{4}} x - {\left(c x^{4} - a x^{3} - b\right)}^{\frac{1}{4}}}{x}\right)}{c^{\frac{1}{4}}}"," ",0,"4*arctan((x*sqrt((sqrt(c)*x^2 + sqrt(c*x^4 - a*x^3 - b))/x^2)/c^(1/4) - (c*x^4 - a*x^3 - b)^(1/4)/c^(1/4))/x)/c^(1/4) + log((c^(1/4)*x + (c*x^4 - a*x^3 - b)^(1/4))/x)/c^(1/4) - log(-(c^(1/4)*x - (c*x^4 - a*x^3 - b)^(1/4))/x)/c^(1/4)","B",0
915,1,125,0,41.586518," ","integrate((x^4-3)*(x^4+1)*(x^4+x^3+1)/x^6/(x^4-x^3+1)/(x^5+x)^(1/4),x, algorithm=""fricas"")","-\frac{2 \, {\left(21 \, x^{6} \arctan\left(\frac{{\left(x^{5} + x\right)}^{\frac{3}{4}} x - {\left(x^{5} + x\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)}}{2 \, {\left(x^{5} + x\right)}}\right) - 21 \, x^{6} \log\left(-\frac{x^{4} + x^{3} - 2 \, {\left(x^{5} + x\right)}^{\frac{1}{4}} x^{2} + 2 \, \sqrt{x^{5} + x} x - 2 \, {\left(x^{5} + x\right)}^{\frac{3}{4}} + 1}{x^{4} - x^{3} + 1}\right) - 2 \, {\left(x^{5} + x\right)}^{\frac{3}{4}} {\left(3 \, x^{4} + 14 \, x^{3} + 3\right)}\right)}}{21 \, x^{6}}"," ",0,"-2/21*(21*x^6*arctan(1/2*((x^5 + x)^(3/4)*x - (x^5 + x)^(1/4)*(x^4 + 1))/(x^5 + x)) - 21*x^6*log(-(x^4 + x^3 - 2*(x^5 + x)^(1/4)*x^2 + 2*sqrt(x^5 + x)*x - 2*(x^5 + x)^(3/4) + 1)/(x^4 - x^3 + 1)) - 2*(x^5 + x)^(3/4)*(3*x^4 + 14*x^3 + 3))/x^6","B",0
916,1,125,0,41.844527," ","integrate((x^4-3)*(x^8+x^6+2*x^4+1)/x^6/(x^4-x^3+1)/(x^5+x)^(1/4),x, algorithm=""fricas"")","-\frac{2 \, {\left(21 \, x^{6} \arctan\left(\frac{{\left(x^{5} + x\right)}^{\frac{3}{4}} x - {\left(x^{5} + x\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)}}{2 \, {\left(x^{5} + x\right)}}\right) - 21 \, x^{6} \log\left(-\frac{x^{4} + x^{3} - 2 \, {\left(x^{5} + x\right)}^{\frac{1}{4}} x^{2} + 2 \, \sqrt{x^{5} + x} x - 2 \, {\left(x^{5} + x\right)}^{\frac{3}{4}} + 1}{x^{4} - x^{3} + 1}\right) - 2 \, {\left(x^{5} + x\right)}^{\frac{3}{4}} {\left(3 \, x^{4} + 7 \, x^{3} + 3\right)}\right)}}{21 \, x^{6}}"," ",0,"-2/21*(21*x^6*arctan(1/2*((x^5 + x)^(3/4)*x - (x^5 + x)^(1/4)*(x^4 + 1))/(x^5 + x)) - 21*x^6*log(-(x^4 + x^3 - 2*(x^5 + x)^(1/4)*x^2 + 2*sqrt(x^5 + x)*x - 2*(x^5 + x)^(3/4) + 1)/(x^4 - x^3 + 1)) - 2*(x^5 + x)^(3/4)*(3*x^4 + 7*x^3 + 3))/x^6","B",0
917,1,132,0,0.473421," ","integrate((a*x^3+b)^(3/4)/x,x, algorithm=""fricas"")","-\frac{4}{3} \, {\left(b^{3}\right)}^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{3} + b\right)}^{\frac{1}{4}} {\left(b^{3}\right)}^{\frac{1}{4}} b^{2} - \sqrt{\sqrt{a x^{3} + b} b^{4} + \sqrt{b^{3}} b^{3}} {\left(b^{3}\right)}^{\frac{1}{4}}}{b^{3}}\right) - \frac{1}{3} \, {\left(b^{3}\right)}^{\frac{1}{4}} \log\left({\left(a x^{3} + b\right)}^{\frac{1}{4}} b^{2} + {\left(b^{3}\right)}^{\frac{3}{4}}\right) + \frac{1}{3} \, {\left(b^{3}\right)}^{\frac{1}{4}} \log\left({\left(a x^{3} + b\right)}^{\frac{1}{4}} b^{2} - {\left(b^{3}\right)}^{\frac{3}{4}}\right) + \frac{4}{9} \, {\left(a x^{3} + b\right)}^{\frac{3}{4}}"," ",0,"-4/3*(b^3)^(1/4)*arctan(-((a*x^3 + b)^(1/4)*(b^3)^(1/4)*b^2 - sqrt(sqrt(a*x^3 + b)*b^4 + sqrt(b^3)*b^3)*(b^3)^(1/4))/b^3) - 1/3*(b^3)^(1/4)*log((a*x^3 + b)^(1/4)*b^2 + (b^3)^(3/4)) + 1/3*(b^3)^(1/4)*log((a*x^3 + b)^(1/4)*b^2 - (b^3)^(3/4)) + 4/9*(a*x^3 + b)^(3/4)","B",0
918,1,141,0,10.755602," ","integrate((3*x^4+3*x+1)/x/(x^4+1)^(1/4),x, algorithm=""fricas"")","{\left(x^{4} + 1\right)}^{\frac{3}{4}} + \frac{3}{4} \, \arctan\left(2 \, {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 2 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x\right) - \frac{1}{4} \, \arctan\left(\frac{2 \, {\left({\left(x^{4} + 1\right)}^{\frac{3}{4}} + {\left(x^{4} + 1\right)}^{\frac{1}{4}}\right)}}{x^{4}}\right) + \frac{3}{4} \, \log\left(2 \, x^{4} + 2 \, {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 2 \, \sqrt{x^{4} + 1} x^{2} + 2 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x + 1\right) + \frac{1}{4} \, \log\left(-\frac{x^{4} - 2 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} + 2 \, \sqrt{x^{4} + 1} - 2 \, {\left(x^{4} + 1\right)}^{\frac{1}{4}} + 2}{x^{4}}\right)"," ",0,"(x^4 + 1)^(3/4) + 3/4*arctan(2*(x^4 + 1)^(1/4)*x^3 + 2*(x^4 + 1)^(3/4)*x) - 1/4*arctan(2*((x^4 + 1)^(3/4) + (x^4 + 1)^(1/4))/x^4) + 3/4*log(2*x^4 + 2*(x^4 + 1)^(1/4)*x^3 + 2*sqrt(x^4 + 1)*x^2 + 2*(x^4 + 1)^(3/4)*x + 1) + 1/4*log(-(x^4 - 2*(x^4 + 1)^(3/4) + 2*sqrt(x^4 + 1) - 2*(x^4 + 1)^(1/4) + 2)/x^4)","B",0
919,1,132,0,0.467169," ","integrate((a*x^4+b)^(3/4)/x,x, algorithm=""fricas"")","-{\left(b^{3}\right)}^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}} {\left(b^{3}\right)}^{\frac{1}{4}} b^{2} - \sqrt{\sqrt{a x^{4} + b} b^{4} + \sqrt{b^{3}} b^{3}} {\left(b^{3}\right)}^{\frac{1}{4}}}{b^{3}}\right) - \frac{1}{4} \, {\left(b^{3}\right)}^{\frac{1}{4}} \log\left({\left(a x^{4} + b\right)}^{\frac{1}{4}} b^{2} + {\left(b^{3}\right)}^{\frac{3}{4}}\right) + \frac{1}{4} \, {\left(b^{3}\right)}^{\frac{1}{4}} \log\left({\left(a x^{4} + b\right)}^{\frac{1}{4}} b^{2} - {\left(b^{3}\right)}^{\frac{3}{4}}\right) + \frac{1}{3} \, {\left(a x^{4} + b\right)}^{\frac{3}{4}}"," ",0,"-(b^3)^(1/4)*arctan(-((a*x^4 + b)^(1/4)*(b^3)^(1/4)*b^2 - sqrt(sqrt(a*x^4 + b)*b^4 + sqrt(b^3)*b^3)*(b^3)^(1/4))/b^3) - 1/4*(b^3)^(1/4)*log((a*x^4 + b)^(1/4)*b^2 + (b^3)^(3/4)) + 1/4*(b^3)^(1/4)*log((a*x^4 + b)^(1/4)*b^2 - (b^3)^(3/4)) + 1/3*(a*x^4 + b)^(3/4)","B",0
920,1,291,0,0.761425," ","integrate((x^2-1)/(x^2+1)/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-2 \, a + c} \log\left(-\frac{{\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} x^{4} + 8 \, {\left(2 \, a b - b c\right)} x^{3} - 2 \, {\left(8 \, a^{2} + b^{2} - 12 \, a c + 4 \, c^{2}\right)} x^{2} + 8 \, a^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(b x^{2} - 2 \, {\left(2 \, a - c\right)} x + b\right)} \sqrt{-2 \, a + c} - b^{2} - 4 \, a c + 8 \, {\left(2 \, a b - b c\right)} x}{x^{4} + 2 \, x^{2} + 1}\right)}{2 \, {\left(2 \, a - c\right)}}, -\frac{\arctan\left(-\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(b x^{2} - 2 \, {\left(2 \, a - c\right)} x + b\right)} \sqrt{2 \, a - c}}{2 \, {\left({\left(2 \, a^{2} - a c\right)} x^{4} + {\left(2 \, a b - b c\right)} x^{3} + {\left(2 \, a c - c^{2}\right)} x^{2} + 2 \, a^{2} - a c + {\left(2 \, a b - b c\right)} x\right)}}\right)}{\sqrt{2 \, a - c}}\right]"," ",0,"[-1/2*sqrt(-2*a + c)*log(-((8*a^2 - b^2 - 4*a*c)*x^4 + 8*(2*a*b - b*c)*x^3 - 2*(8*a^2 + b^2 - 12*a*c + 4*c^2)*x^2 + 8*a^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(b*x^2 - 2*(2*a - c)*x + b)*sqrt(-2*a + c) - b^2 - 4*a*c + 8*(2*a*b - b*c)*x)/(x^4 + 2*x^2 + 1))/(2*a - c), -arctan(-1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(b*x^2 - 2*(2*a - c)*x + b)*sqrt(2*a - c)/((2*a^2 - a*c)*x^4 + (2*a*b - b*c)*x^3 + (2*a*c - c^2)*x^2 + 2*a^2 - a*c + (2*a*b - b*c)*x))/sqrt(2*a - c)]","B",0
921,1,159,0,1.195097," ","integrate((a*x^2+b)*(a^2*x^4+b^2)^(1/2)/x^2/(a*x^2-b),x, algorithm=""fricas"")","\left[\frac{\sqrt{2} \sqrt{a b} x \log\left(\frac{a^{2} x^{4} + 2 \, a b x^{2} - 2 \, \sqrt{2} \sqrt{a^{2} x^{4} + b^{2}} \sqrt{a b} x + b^{2}}{a^{2} x^{4} - 2 \, a b x^{2} + b^{2}}\right) + 2 \, \sqrt{a^{2} x^{4} + b^{2}}}{2 \, x}, \frac{\sqrt{2} \sqrt{-a b} x \arctan\left(\frac{\sqrt{2} \sqrt{a^{2} x^{4} + b^{2}} \sqrt{-a b}}{2 \, a b x}\right) + \sqrt{a^{2} x^{4} + b^{2}}}{x}\right]"," ",0,"[1/2*(sqrt(2)*sqrt(a*b)*x*log((a^2*x^4 + 2*a*b*x^2 - 2*sqrt(2)*sqrt(a^2*x^4 + b^2)*sqrt(a*b)*x + b^2)/(a^2*x^4 - 2*a*b*x^2 + b^2)) + 2*sqrt(a^2*x^4 + b^2))/x, (sqrt(2)*sqrt(-a*b)*x*arctan(1/2*sqrt(2)*sqrt(a^2*x^4 + b^2)*sqrt(-a*b)/(a*b*x)) + sqrt(a^2*x^4 + b^2))/x]","A",0
922,1,132,0,0.469226," ","integrate((a*x^5+b)^(3/4)/x,x, algorithm=""fricas"")","-\frac{4}{5} \, {\left(b^{3}\right)}^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{5} + b\right)}^{\frac{1}{4}} {\left(b^{3}\right)}^{\frac{1}{4}} b^{2} - \sqrt{\sqrt{a x^{5} + b} b^{4} + \sqrt{b^{3}} b^{3}} {\left(b^{3}\right)}^{\frac{1}{4}}}{b^{3}}\right) - \frac{1}{5} \, {\left(b^{3}\right)}^{\frac{1}{4}} \log\left({\left(a x^{5} + b\right)}^{\frac{1}{4}} b^{2} + {\left(b^{3}\right)}^{\frac{3}{4}}\right) + \frac{1}{5} \, {\left(b^{3}\right)}^{\frac{1}{4}} \log\left({\left(a x^{5} + b\right)}^{\frac{1}{4}} b^{2} - {\left(b^{3}\right)}^{\frac{3}{4}}\right) + \frac{4}{15} \, {\left(a x^{5} + b\right)}^{\frac{3}{4}}"," ",0,"-4/5*(b^3)^(1/4)*arctan(-((a*x^5 + b)^(1/4)*(b^3)^(1/4)*b^2 - sqrt(sqrt(a*x^5 + b)*b^4 + sqrt(b^3)*b^3)*(b^3)^(1/4))/b^3) - 1/5*(b^3)^(1/4)*log((a*x^5 + b)^(1/4)*b^2 + (b^3)^(3/4)) + 1/5*(b^3)^(1/4)*log((a*x^5 + b)^(1/4)*b^2 - (b^3)^(3/4)) + 4/15*(a*x^5 + b)^(3/4)","B",0
923,1,69,0,0.504850," ","integrate((2*x^5+3)*(-x^6-2*x^4+x)^(1/2)/(x^5-1)^2,x, algorithm=""fricas"")","-\frac{\sqrt{2} {\left(x^{5} - 1\right)} \arctan\left(\frac{2 \, \sqrt{2} \sqrt{-x^{6} - 2 \, x^{4} + x} x}{x^{5} + 4 \, x^{3} - 1}\right) + 4 \, \sqrt{-x^{6} - 2 \, x^{4} + x} x}{4 \, {\left(x^{5} - 1\right)}}"," ",0,"-1/4*(sqrt(2)*(x^5 - 1)*arctan(2*sqrt(2)*sqrt(-x^6 - 2*x^4 + x)*x/(x^5 + 4*x^3 - 1)) + 4*sqrt(-x^6 - 2*x^4 + x)*x)/(x^5 - 1)","A",0
924,1,154,0,163.997727," ","integrate((x^6-2)*(x^6+1)*(x^6-x^4+1)^(1/4)/x^6/(x^6-2*x^4+1),x, algorithm=""fricas"")","\frac{5 \, x^{5} \arctan\left(\frac{2 \, {\left({\left(x^{6} - x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + {\left(x^{6} - x^{4} + 1\right)}^{\frac{3}{4}} x\right)}}{x^{6} - 2 \, x^{4} + 1}\right) + 5 \, x^{5} \log\left(\frac{x^{6} - 2 \, {\left(x^{6} - x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 2 \, \sqrt{x^{6} - x^{4} + 1} x^{2} - 2 \, {\left(x^{6} - x^{4} + 1\right)}^{\frac{3}{4}} x + 1}{x^{6} - 2 \, x^{4} + 1}\right) + 2 \, {\left(x^{6} + 9 \, x^{4} + 1\right)} {\left(x^{6} - x^{4} + 1\right)}^{\frac{1}{4}}}{5 \, x^{5}}"," ",0,"1/5*(5*x^5*arctan(2*((x^6 - x^4 + 1)^(1/4)*x^3 + (x^6 - x^4 + 1)^(3/4)*x)/(x^6 - 2*x^4 + 1)) + 5*x^5*log((x^6 - 2*(x^6 - x^4 + 1)^(1/4)*x^3 + 2*sqrt(x^6 - x^4 + 1)*x^2 - 2*(x^6 - x^4 + 1)^(3/4)*x + 1)/(x^6 - 2*x^4 + 1)) + 2*(x^6 + 9*x^4 + 1)*(x^6 - x^4 + 1)^(1/4))/x^5","B",0
925,1,132,0,0.460976," ","integrate((a*x^6+b)^(3/4)/x,x, algorithm=""fricas"")","-\frac{2}{3} \, {\left(b^{3}\right)}^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{6} + b\right)}^{\frac{1}{4}} {\left(b^{3}\right)}^{\frac{1}{4}} b^{2} - \sqrt{\sqrt{a x^{6} + b} b^{4} + \sqrt{b^{3}} b^{3}} {\left(b^{3}\right)}^{\frac{1}{4}}}{b^{3}}\right) - \frac{1}{6} \, {\left(b^{3}\right)}^{\frac{1}{4}} \log\left({\left(a x^{6} + b\right)}^{\frac{1}{4}} b^{2} + {\left(b^{3}\right)}^{\frac{3}{4}}\right) + \frac{1}{6} \, {\left(b^{3}\right)}^{\frac{1}{4}} \log\left({\left(a x^{6} + b\right)}^{\frac{1}{4}} b^{2} - {\left(b^{3}\right)}^{\frac{3}{4}}\right) + \frac{2}{9} \, {\left(a x^{6} + b\right)}^{\frac{3}{4}}"," ",0,"-2/3*(b^3)^(1/4)*arctan(-((a*x^6 + b)^(1/4)*(b^3)^(1/4)*b^2 - sqrt(sqrt(a*x^6 + b)*b^4 + sqrt(b^3)*b^3)*(b^3)^(1/4))/b^3) - 1/6*(b^3)^(1/4)*log((a*x^6 + b)^(1/4)*b^2 + (b^3)^(3/4)) + 1/6*(b^3)^(1/4)*log((a*x^6 + b)^(1/4)*b^2 - (b^3)^(3/4)) + 2/9*(a*x^6 + b)^(3/4)","B",0
926,1,56,0,0.899391," ","integrate((1+x)^(1/2)/(x+(1+x)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} - 3\right)} + \frac{7}{8} \, \log\left(4 \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} + 1\right)} + 8 \, x + 8 \, \sqrt{x + 1} + 5\right)"," ",0,"1/2*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) - 3) + 7/8*log(4*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) + 1) + 8*x + 8*sqrt(x + 1) + 5)","A",0
927,1,56,0,0.899268," ","integrate((x+(1+x)^(1/2))^(1/2)/(1+x)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} + 1\right)} + \frac{5}{8} \, \log\left(4 \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} + 1\right)} - 8 \, x - 8 \, \sqrt{x + 1} - 5\right)"," ",0,"1/2*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) + 1) + 5/8*log(4*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) + 1) - 8*x - 8*sqrt(x + 1) - 5)","A",0
928,1,87,0,1.574664," ","integrate((x^2-1)*(1+(x^2+1)^(1/2))^(1/2)/(x^2+1),x, algorithm=""fricas"")","\frac{3 \, x \arctan\left(\frac{4 \, {\left(x^{4} - 12 \, x^{2} + {\left(5 \, x^{2} - 3\right)} \sqrt{x^{2} + 1} + 3\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{x^{5} - 46 \, x^{3} + 17 \, x}\right) + 2 \, {\left(x^{2} + \sqrt{x^{2} + 1} - 1\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{3 \, x}"," ",0,"1/3*(3*x*arctan(4*(x^4 - 12*x^2 + (5*x^2 - 3)*sqrt(x^2 + 1) + 3)*sqrt(sqrt(x^2 + 1) + 1)/(x^5 - 46*x^3 + 17*x)) + 2*(x^2 + sqrt(x^2 + 1) - 1)*sqrt(sqrt(x^2 + 1) + 1))/x","A",0
929,1,90,0,0.703495," ","integrate(1/(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, {\left(x^{3} - \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + \frac{1}{8} \, \sqrt{2} \log\left(4 \, x^{4} + 4 \, \sqrt{x^{4} + 1} x^{2} + 2 \, {\left(\sqrt{2} x^{3} + \sqrt{2} \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 1\right)"," ",0,"-1/2*(x^3 - sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1/8*sqrt(2)*log(4*x^4 + 4*sqrt(x^4 + 1)*x^2 + 2*(sqrt(2)*x^3 + sqrt(2)*sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1)","A",0
930,1,81,0,0.854787," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/x^2,x, algorithm=""fricas"")","\frac{\sqrt{2} x \log\left(4 \, x^{4} + 4 \, \sqrt{x^{4} + 1} x^{2} + 2 \, {\left(\sqrt{2} x^{3} + \sqrt{2} \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 1\right) - 4 \, \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{4 \, x}"," ",0,"1/4*(sqrt(2)*x*log(4*x^4 + 4*sqrt(x^4 + 1)*x^2 + 2*(sqrt(2)*x^3 + sqrt(2)*sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1) - 4*sqrt(x^2 + sqrt(x^4 + 1)))/x","A",0
931,1,61,0,0.446697," ","integrate(1/((-1+x)^(1/2)+2*x^(1/2))^2/(-1+x)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, \sqrt{3} {\left(3 \, x + 1\right)} \arctan\left(\frac{1}{2} \, \sqrt{3} \sqrt{x - 1}\right) - 2 \, \sqrt{3} {\left(3 \, x + 1\right)} \arctan\left(\sqrt{3} \sqrt{x}\right) - 3 \, \sqrt{x - 1} + 6 \, \sqrt{x}\right)}}{9 \, {\left(3 \, x + 1\right)}}"," ",0,"2/9*(2*sqrt(3)*(3*x + 1)*arctan(1/2*sqrt(3)*sqrt(x - 1)) - 2*sqrt(3)*(3*x + 1)*arctan(sqrt(3)*sqrt(x)) - 3*sqrt(x - 1) + 6*sqrt(x))/(3*x + 1)","A",0
932,1,80,0,0.429181," ","integrate(1/(x^2-1)^(1/2)/(3*x^2-4)^2,x, algorithm=""fricas"")","-\frac{12 \, x^{2} + 5 \, {\left(3 \, x^{2} - 4\right)} \log\left(3 \, x^{2} - 3 \, \sqrt{x^{2} - 1} x - 2\right) - 5 \, {\left(3 \, x^{2} - 4\right)} \log\left(x^{2} - \sqrt{x^{2} - 1} x - 2\right) + 12 \, \sqrt{x^{2} - 1} x - 16}{32 \, {\left(3 \, x^{2} - 4\right)}}"," ",0,"-1/32*(12*x^2 + 5*(3*x^2 - 4)*log(3*x^2 - 3*sqrt(x^2 - 1)*x - 2) - 5*(3*x^2 - 4)*log(x^2 - sqrt(x^2 - 1)*x - 2) + 12*sqrt(x^2 - 1)*x - 16)/(3*x^2 - 4)","A",0
933,1,56,0,0.431678," ","integrate(1/x/(x^3+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) - \frac{1}{6} \, \log\left({\left(x^{3} + 1\right)}^{\frac{2}{3}} + {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{3} \, \log\left({\left(x^{3} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"1/3*sqrt(3)*arctan(2/3*sqrt(3)*(x^3 + 1)^(1/3) + 1/3*sqrt(3)) - 1/6*log((x^3 + 1)^(2/3) + (x^3 + 1)^(1/3) + 1) + 1/3*log((x^3 + 1)^(1/3) - 1)","A",0
934,-1,0,0,0.000000," ","integrate(x^2*(3-2*(1+k)*x+k*x^2)/((1-x)*x*(-k*x+1))^(3/4)/(-1+(1+k)*x-k*x^2+d*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
935,-1,0,0,0.000000," ","integrate((a*x^2-b)/(x^4+a*x^2-b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
936,-1,0,0,0.000000," ","integrate((a*x^2-b)/(x^4+a*x^2-b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
937,-2,0,0,0.000000," ","integrate((x^3-x)^(1/3)/(a*x^6+b),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
938,-2,0,0,0.000000," ","integrate((x^3-x)^(1/3)/(a*x^6+b),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
939,-1,0,0,0.000000," ","integrate((a*x^6-2*b)*(a*x^6+b)^(3/4)/x^4/(a*x^6-c*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
940,-1,0,0,0.000000," ","integrate((a*x^8+b)/(a*x^8-b)/(a*x^8+c*x^4-b)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
941,1,387,0,0.514689," ","integrate((x^5+1)^(1/2)*(3*x^5-2)/(x^10+2*x^5+x^4+1),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(x^{5} - x^{2} + 1\right)} \sqrt{x^{5} + 1} + {\left(2 \, x^{6} - \sqrt{2} {\left(x^{5} + x^{2} + 1\right)} \sqrt{x^{5} + 1} + 2 \, x\right)} \sqrt{\frac{x^{10} + 4 \, x^{7} + 2 \, x^{5} + x^{4} + 2 \, \sqrt{2} {\left(x^{6} + x^{3} + x\right)} \sqrt{x^{5} + 1} + 4 \, x^{2} + 1}{x^{10} + 2 \, x^{5} + x^{4} + 1}}}{2 \, {\left(x^{6} + x\right)}}\right) - \frac{1}{2} \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(x^{5} - x^{2} + 1\right)} \sqrt{x^{5} + 1} - {\left(2 \, x^{6} + \sqrt{2} {\left(x^{5} + x^{2} + 1\right)} \sqrt{x^{5} + 1} + 2 \, x\right)} \sqrt{\frac{x^{10} + 4 \, x^{7} + 2 \, x^{5} + x^{4} - 2 \, \sqrt{2} {\left(x^{6} + x^{3} + x\right)} \sqrt{x^{5} + 1} + 4 \, x^{2} + 1}{x^{10} + 2 \, x^{5} + x^{4} + 1}}}{2 \, {\left(x^{6} + x\right)}}\right) - \frac{1}{8} \, \sqrt{2} \log\left(\frac{x^{10} + 4 \, x^{7} + 2 \, x^{5} + x^{4} + 2 \, \sqrt{2} {\left(x^{6} + x^{3} + x\right)} \sqrt{x^{5} + 1} + 4 \, x^{2} + 1}{x^{10} + 2 \, x^{5} + x^{4} + 1}\right) + \frac{1}{8} \, \sqrt{2} \log\left(\frac{x^{10} + 4 \, x^{7} + 2 \, x^{5} + x^{4} - 2 \, \sqrt{2} {\left(x^{6} + x^{3} + x\right)} \sqrt{x^{5} + 1} + 4 \, x^{2} + 1}{x^{10} + 2 \, x^{5} + x^{4} + 1}\right)"," ",0,"-1/2*sqrt(2)*arctan(-1/2*(sqrt(2)*(x^5 - x^2 + 1)*sqrt(x^5 + 1) + (2*x^6 - sqrt(2)*(x^5 + x^2 + 1)*sqrt(x^5 + 1) + 2*x)*sqrt((x^10 + 4*x^7 + 2*x^5 + x^4 + 2*sqrt(2)*(x^6 + x^3 + x)*sqrt(x^5 + 1) + 4*x^2 + 1)/(x^10 + 2*x^5 + x^4 + 1)))/(x^6 + x)) - 1/2*sqrt(2)*arctan(-1/2*(sqrt(2)*(x^5 - x^2 + 1)*sqrt(x^5 + 1) - (2*x^6 + sqrt(2)*(x^5 + x^2 + 1)*sqrt(x^5 + 1) + 2*x)*sqrt((x^10 + 4*x^7 + 2*x^5 + x^4 - 2*sqrt(2)*(x^6 + x^3 + x)*sqrt(x^5 + 1) + 4*x^2 + 1)/(x^10 + 2*x^5 + x^4 + 1)))/(x^6 + x)) - 1/8*sqrt(2)*log((x^10 + 4*x^7 + 2*x^5 + x^4 + 2*sqrt(2)*(x^6 + x^3 + x)*sqrt(x^5 + 1) + 4*x^2 + 1)/(x^10 + 2*x^5 + x^4 + 1)) + 1/8*sqrt(2)*log((x^10 + 4*x^7 + 2*x^5 + x^4 - 2*sqrt(2)*(x^6 + x^3 + x)*sqrt(x^5 + 1) + 4*x^2 + 1)/(x^10 + 2*x^5 + x^4 + 1))","B",0
942,1,100,0,0.690179," ","integrate(1/(2*x+(x^2+1)^(1/2))^2,x, algorithm=""fricas"")","\frac{\sqrt{3} {\left(3 \, x^{2} - 1\right)} \log\left(\frac{3 \, x^{2} - 2 \, \sqrt{3} x + 1}{3 \, x^{2} - 1}\right) + \sqrt{3} {\left(3 \, x^{2} - 1\right)} \log\left(\frac{3 \, x^{2} + 4 \, \sqrt{3} \sqrt{x^{2} + 1} + 7}{3 \, x^{2} - 1}\right) - 24 \, x + 12 \, \sqrt{x^{2} + 1}}{18 \, {\left(3 \, x^{2} - 1\right)}}"," ",0,"1/18*(sqrt(3)*(3*x^2 - 1)*log((3*x^2 - 2*sqrt(3)*x + 1)/(3*x^2 - 1)) + sqrt(3)*(3*x^2 - 1)*log((3*x^2 + 4*sqrt(3)*sqrt(x^2 + 1) + 7)/(3*x^2 - 1)) - 24*x + 12*sqrt(x^2 + 1))/(3*x^2 - 1)","A",0
943,1,142,0,18.597637," ","integrate((a*x^2+x*(a^2*x^2-b)^(1/2))^(1/2)/x/(a^2*x^2-b)^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{2} \log\left(-4 \, a^{2} x^{2} - 4 \, \sqrt{a^{2} x^{2} - b} a x - 2 \, {\left(\sqrt{2} a^{\frac{3}{2}} x + \sqrt{2} \sqrt{a^{2} x^{2} - b} \sqrt{a}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b} x} + b\right)}{2 \, \sqrt{a}}, -\sqrt{2} \sqrt{-\frac{1}{a}} \arctan\left(\frac{\sqrt{2} \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b} x} \sqrt{-\frac{1}{a}}}{2 \, x}\right)\right]"," ",0,"[1/2*sqrt(2)*log(-4*a^2*x^2 - 4*sqrt(a^2*x^2 - b)*a*x - 2*(sqrt(2)*a^(3/2)*x + sqrt(2)*sqrt(a^2*x^2 - b)*sqrt(a))*sqrt(a*x^2 + sqrt(a^2*x^2 - b)*x) + b)/sqrt(a), -sqrt(2)*sqrt(-1/a)*arctan(1/2*sqrt(2)*sqrt(a*x^2 + sqrt(a^2*x^2 - b)*x)*sqrt(-1/a)/x)]","A",0
944,1,1368,0,0.532398," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1),x, algorithm=""fricas"")","-\sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} \arctan\left(\frac{1}{2} \, \sqrt{\sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \, \sqrt{\sqrt{2} + 2} + 2} \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} + \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{2} \sqrt{\sqrt{2} + 2} - \sqrt{2} - 1\right) - \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} \arctan\left(\frac{1}{8} \, \sqrt{-16 \, \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 32 \, \sqrt{x + \sqrt{x^{2} + 1}} + 32 \, \sqrt{\sqrt{2} + 2} + 32} \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} + \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{2} \sqrt{\sqrt{2} + 2} + \sqrt{2} + 1\right) + \frac{1}{16} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{128} \, \sqrt{\sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 32 \, \sqrt{x + \sqrt{x^{2} + 1}} + 8 \, \sqrt{-16 \, \sqrt{2} + 32} + 32} \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} - \frac{1}{16} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 1\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \frac{1}{4} \, \sqrt{2} \sqrt{-16 \, \sqrt{2} + 32} - \sqrt{2} + 1\right) + \frac{1}{16} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{128} \, \sqrt{-\sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 32 \, \sqrt{x + \sqrt{x^{2} + 1}} + 8 \, \sqrt{-16 \, \sqrt{2} + 32} + 32} \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} - \frac{1}{16} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 1\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \frac{1}{4} \, \sqrt{2} \sqrt{-16 \, \sqrt{2} + 32} + \sqrt{2} - 1\right) - \frac{1}{4} \, \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} - 2 \, \sqrt{2}\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \log\left(2 \, \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 2} + 4\right) + \frac{1}{4} \, \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} - 2 \, \sqrt{2}\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \log\left(-2 \, \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 2} + 4\right) - \frac{1}{64} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2}\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{1}{4}} \log\left(\frac{1}{8} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{-16 \, \sqrt{2} + 32} + 4\right) + \frac{1}{64} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2}\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{1}{4}} \log\left(-\frac{1}{8} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{-16 \, \sqrt{2} + 32} + 4\right)"," ",0,"-sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2)*arctan(1/2*sqrt(sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*sqrt(sqrt(2) + 2) + 2)*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2) + sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(2)*sqrt(sqrt(2) + 2) - sqrt(2) - 1) - sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2)*arctan(1/8*sqrt(-16*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 32*sqrt(x + sqrt(x^2 + 1)) + 32*sqrt(sqrt(2) + 2) + 32)*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2) + sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(2)*sqrt(sqrt(2) + 2) + sqrt(2) + 1) + 1/16*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4)*arctan(1/128*sqrt(sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 32*sqrt(x + sqrt(x^2 + 1)) + 8*sqrt(-16*sqrt(2) + 32) + 32)*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4) - 1/16*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 1)*(-16*sqrt(2) + 32)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1/4*sqrt(2)*sqrt(-16*sqrt(2) + 32) - sqrt(2) + 1) + 1/16*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4)*arctan(1/128*sqrt(-sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 32*sqrt(x + sqrt(x^2 + 1)) + 8*sqrt(-16*sqrt(2) + 32) + 32)*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4) - 1/16*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 1)*(-16*sqrt(2) + 32)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1/4*sqrt(2)*sqrt(-16*sqrt(2) + 32) + sqrt(2) - 1) - 1/4*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2)*sqrt(sqrt(2) + 2) - 2*sqrt(2))*(sqrt(2) + 2)^(1/4)*log(2*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 2) + 4) + 1/4*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2)*sqrt(sqrt(2) + 2) - 2*sqrt(2))*(sqrt(2) + 2)^(1/4)*log(-2*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 2) + 4) - 1/64*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2))*(-16*sqrt(2) + 32)^(1/4)*log(1/8*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + sqrt(-16*sqrt(2) + 32) + 4) + 1/64*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2))*(-16*sqrt(2) + 32)^(1/4)*log(-1/8*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + sqrt(-16*sqrt(2) + 32) + 4)","B",0
945,1,1368,0,0.519648," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1),x, algorithm=""fricas"")","-\sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} \arctan\left(\frac{1}{2} \, \sqrt{\sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \, \sqrt{\sqrt{2} + 2} + 2} \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} + \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{2} \sqrt{\sqrt{2} + 2} - \sqrt{2} - 1\right) - \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} \arctan\left(\frac{1}{8} \, \sqrt{-16 \, \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 32 \, \sqrt{x + \sqrt{x^{2} + 1}} + 32 \, \sqrt{\sqrt{2} + 2} + 32} \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} + \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{2} \sqrt{\sqrt{2} + 2} + \sqrt{2} + 1\right) + \frac{1}{16} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{128} \, \sqrt{\sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 32 \, \sqrt{x + \sqrt{x^{2} + 1}} + 8 \, \sqrt{-16 \, \sqrt{2} + 32} + 32} \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} - \frac{1}{16} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 1\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \frac{1}{4} \, \sqrt{2} \sqrt{-16 \, \sqrt{2} + 32} - \sqrt{2} + 1\right) + \frac{1}{16} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{128} \, \sqrt{-\sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 32 \, \sqrt{x + \sqrt{x^{2} + 1}} + 8 \, \sqrt{-16 \, \sqrt{2} + 32} + 32} \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} - \frac{1}{16} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 1\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \frac{1}{4} \, \sqrt{2} \sqrt{-16 \, \sqrt{2} + 32} + \sqrt{2} - 1\right) - \frac{1}{4} \, \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} - 2 \, \sqrt{2}\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \log\left(2 \, \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 2} + 4\right) + \frac{1}{4} \, \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} - 2 \, \sqrt{2}\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \log\left(-2 \, \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 2} + 4\right) - \frac{1}{64} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2}\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{1}{4}} \log\left(\frac{1}{8} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{-16 \, \sqrt{2} + 32} + 4\right) + \frac{1}{64} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2}\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{1}{4}} \log\left(-\frac{1}{8} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{-16 \, \sqrt{2} + 32} + 4\right)"," ",0,"-sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2)*arctan(1/2*sqrt(sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*sqrt(sqrt(2) + 2) + 2)*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2) + sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(2)*sqrt(sqrt(2) + 2) - sqrt(2) - 1) - sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2)*arctan(1/8*sqrt(-16*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 32*sqrt(x + sqrt(x^2 + 1)) + 32*sqrt(sqrt(2) + 2) + 32)*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2) + sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(2)*sqrt(sqrt(2) + 2) + sqrt(2) + 1) + 1/16*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4)*arctan(1/128*sqrt(sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 32*sqrt(x + sqrt(x^2 + 1)) + 8*sqrt(-16*sqrt(2) + 32) + 32)*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4) - 1/16*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 1)*(-16*sqrt(2) + 32)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1/4*sqrt(2)*sqrt(-16*sqrt(2) + 32) - sqrt(2) + 1) + 1/16*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4)*arctan(1/128*sqrt(-sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 32*sqrt(x + sqrt(x^2 + 1)) + 8*sqrt(-16*sqrt(2) + 32) + 32)*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4) - 1/16*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 1)*(-16*sqrt(2) + 32)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1/4*sqrt(2)*sqrt(-16*sqrt(2) + 32) + sqrt(2) - 1) - 1/4*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2)*sqrt(sqrt(2) + 2) - 2*sqrt(2))*(sqrt(2) + 2)^(1/4)*log(2*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 2) + 4) + 1/4*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2)*sqrt(sqrt(2) + 2) - 2*sqrt(2))*(sqrt(2) + 2)^(1/4)*log(-2*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 2) + 4) - 1/64*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2))*(-16*sqrt(2) + 32)^(1/4)*log(1/8*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + sqrt(-16*sqrt(2) + 32) + 4) + 1/64*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2))*(-16*sqrt(2) + 32)^(1/4)*log(-1/8*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + sqrt(-16*sqrt(2) + 32) + 4)","B",0
946,-1,0,0,0.000000," ","integrate((x^2+2*x+1)^(1/3)/(x^3+x^2+x+4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
947,1,73,0,0.522613," ","integrate((x^2-1)*(x^4+1)^(1/2)/(x^2-x+1)/(x^2+x+1)^2,x, algorithm=""fricas"")","\frac{3 \, {\left(x^{2} + x + 1\right)} \arctan\left(\frac{\sqrt{x^{4} + 1}}{x^{2} + 2 \, x + 1}\right) + {\left(x^{2} + x + 1\right)} \arctan\left(\frac{\sqrt{x^{4} + 1}}{x^{2} - 2 \, x + 1}\right) + 2 \, \sqrt{x^{4} + 1}}{4 \, {\left(x^{2} + x + 1\right)}}"," ",0,"1/4*(3*(x^2 + x + 1)*arctan(sqrt(x^4 + 1)/(x^2 + 2*x + 1)) + (x^2 + x + 1)*arctan(sqrt(x^4 + 1)/(x^2 - 2*x + 1)) + 2*sqrt(x^4 + 1))/(x^2 + x + 1)","A",0
948,1,123,0,1.426930," ","integrate(x^4*(x^4-x^2)^(1/4),x, algorithm=""fricas"")","\frac{1}{192} \, {\left(32 \, x^{5} - 4 \, x^{3} - 7 \, x\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} - \frac{7}{256} \, \arctan\left(\frac{2 \, {\left({\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} + {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}\right)}}{x}\right) + \frac{7}{256} \, \log\left(-\frac{2 \, x^{3} - 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \, \sqrt{x^{4} - x^{2}} x - x - 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{x}\right)"," ",0,"1/192*(32*x^5 - 4*x^3 - 7*x)*(x^4 - x^2)^(1/4) - 7/256*arctan(2*((x^4 - x^2)^(1/4)*x^2 + (x^4 - x^2)^(3/4))/x) + 7/256*log(-(2*x^3 - 2*(x^4 - x^2)^(1/4)*x^2 + 2*sqrt(x^4 - x^2)*x - x - 2*(x^4 - x^2)^(3/4))/x)","B",0
949,1,87,0,0.440902," ","integrate(x^4*(x^4+x^3)^(1/4)/(1+x),x, algorithm=""fricas"")","\frac{1}{10240} \, {\left(2048 \, x^{4} - 2432 \, x^{3} + 3040 \, x^{2} - 4180 \, x + 7315\right)} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} - \frac{4389}{4096} \, \arctan\left(\frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{4389}{8192} \, \log\left(\frac{x + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{4389}{8192} \, \log\left(-\frac{x - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"1/10240*(2048*x^4 - 2432*x^3 + 3040*x^2 - 4180*x + 7315)*(x^4 + x^3)^(1/4) - 4389/4096*arctan((x^4 + x^3)^(1/4)/x) - 4389/8192*log((x + (x^4 + x^3)^(1/4))/x) + 4389/8192*log(-(x - (x^4 + x^3)^(1/4))/x)","A",0
950,-1,0,0,0.000000," ","integrate((a*x^3+4*b)*(-a*x^3+x^4-b)/x^4/(a*x^3+b)^(1/4)/(-a*x^3+2*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
951,-1,0,0,0.000000," ","integrate((a*x^2+b)/(a*x^4+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
952,-1,0,0,0.000000," ","integrate((a*x^2+b)/(a*x^4+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
953,1,58,0,0.603480," ","integrate((1-x)/(x^6+2*x^5+x^4-4*x^3-5*x^2+2*x+3)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \log\left(\frac{\sqrt{2} {\left(x^{2} - 1\right)} + \sqrt{x^{6} + 2 \, x^{5} + x^{4} - 4 \, x^{3} - 5 \, x^{2} + 2 \, x + 3}}{x^{3} + x^{2} - x - 1}\right)"," ",0,"1/2*sqrt(2)*log((sqrt(2)*(x^2 - 1) + sqrt(x^6 + 2*x^5 + x^4 - 4*x^3 - 5*x^2 + 2*x + 3))/(x^3 + x^2 - x - 1))","A",0
954,1,120,0,0.733304," ","integrate((3*x^4-1)*(x^8+2*x^4+x^2+1)^(1/2)/(x^4-x+1)^2/(x^4+x+1),x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(x^{4} - x + 1\right)} \log\left(\frac{3 \, x^{8} - 2 \, x^{5} + 6 \, x^{4} + 2 \, \sqrt{2} \sqrt{x^{8} + 2 \, x^{4} + x^{2} + 1} {\left(x^{4} - x + 1\right)} + 3 \, x^{2} - 2 \, x + 3}{x^{8} + 2 \, x^{5} + 2 \, x^{4} + x^{2} + 2 \, x + 1}\right) - 4 \, \sqrt{x^{8} + 2 \, x^{4} + x^{2} + 1}}{8 \, {\left(x^{4} - x + 1\right)}}"," ",0,"1/8*(sqrt(2)*(x^4 - x + 1)*log((3*x^8 - 2*x^5 + 6*x^4 + 2*sqrt(2)*sqrt(x^8 + 2*x^4 + x^2 + 1)*(x^4 - x + 1) + 3*x^2 - 2*x + 3)/(x^8 + 2*x^5 + 2*x^4 + x^2 + 2*x + 1)) - 4*sqrt(x^8 + 2*x^4 + x^2 + 1))/(x^4 - x + 1)","A",0
955,1,177,0,0.639482," ","integrate((a*x^2+b*x+c)^(1/2),x, algorithm=""fricas"")","\left[-\frac{{\left(b^{2} - 4 \, a c\right)} \sqrt{a} \log\left(-8 \, a^{2} x^{2} - 8 \, a b x - 4 \, \sqrt{a x^{2} + b x + c} {\left(2 \, a x + b\right)} \sqrt{a} - b^{2} - 4 \, a c\right) - 4 \, {\left(2 \, a^{2} x + a b\right)} \sqrt{a x^{2} + b x + c}}{16 \, a^{2}}, \frac{{\left(b^{2} - 4 \, a c\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{a x^{2} + b x + c} {\left(2 \, a x + b\right)} \sqrt{-a}}{2 \, {\left(a^{2} x^{2} + a b x + a c\right)}}\right) + 2 \, {\left(2 \, a^{2} x + a b\right)} \sqrt{a x^{2} + b x + c}}{8 \, a^{2}}\right]"," ",0,"[-1/16*((b^2 - 4*a*c)*sqrt(a)*log(-8*a^2*x^2 - 8*a*b*x - 4*sqrt(a*x^2 + b*x + c)*(2*a*x + b)*sqrt(a) - b^2 - 4*a*c) - 4*(2*a^2*x + a*b)*sqrt(a*x^2 + b*x + c))/a^2, 1/8*((b^2 - 4*a*c)*sqrt(-a)*arctan(1/2*sqrt(a*x^2 + b*x + c)*(2*a*x + b)*sqrt(-a)/(a^2*x^2 + a*b*x + a*c)) + 2*(2*a^2*x + a*b)*sqrt(a*x^2 + b*x + c))/a^2]","A",0
956,1,126,0,0.559416," ","integrate((-1+x)/(x^2-2*x-1)/(x^3-x)^(1/2),x, algorithm=""fricas"")","\frac{1}{8} \, \sqrt{2} \log\left(\frac{x^{4} + 12 \, x^{3} + 4 \, \sqrt{2} \sqrt{x^{3} - x} {\left(x^{2} + 2 \, x - 1\right)} + 2 \, x^{2} - 12 \, x + 1}{x^{4} - 4 \, x^{3} + 2 \, x^{2} + 4 \, x + 1}\right) + \frac{1}{4} \, \log\left(\frac{x^{4} + 4 \, x^{3} + 2 \, x^{2} - 4 \, \sqrt{x^{3} - x} {\left(x^{2} + 1\right)} - 4 \, x + 1}{x^{4} - 4 \, x^{3} + 2 \, x^{2} + 4 \, x + 1}\right)"," ",0,"1/8*sqrt(2)*log((x^4 + 12*x^3 + 4*sqrt(2)*sqrt(x^3 - x)*(x^2 + 2*x - 1) + 2*x^2 - 12*x + 1)/(x^4 - 4*x^3 + 2*x^2 + 4*x + 1)) + 1/4*log((x^4 + 4*x^3 + 2*x^2 - 4*sqrt(x^3 - x)*(x^2 + 1) - 4*x + 1)/(x^4 - 4*x^3 + 2*x^2 + 4*x + 1))","B",0
957,1,126,0,0.655851," ","integrate((x^2+3*x-2)/(x^2-2*x-1)/(x^3-x)^(1/2),x, algorithm=""fricas"")","\frac{1}{8} \, \sqrt{2} \log\left(\frac{x^{4} + 12 \, x^{3} + 4 \, \sqrt{2} \sqrt{x^{3} - x} {\left(x^{2} + 2 \, x - 1\right)} + 2 \, x^{2} - 12 \, x + 1}{x^{4} - 4 \, x^{3} + 2 \, x^{2} + 4 \, x + 1}\right) + \frac{3}{4} \, \log\left(\frac{x^{4} + 4 \, x^{3} + 2 \, x^{2} - 4 \, \sqrt{x^{3} - x} {\left(x^{2} + 1\right)} - 4 \, x + 1}{x^{4} - 4 \, x^{3} + 2 \, x^{2} + 4 \, x + 1}\right)"," ",0,"1/8*sqrt(2)*log((x^4 + 12*x^3 + 4*sqrt(2)*sqrt(x^3 - x)*(x^2 + 2*x - 1) + 2*x^2 - 12*x + 1)/(x^4 - 4*x^3 + 2*x^2 + 4*x + 1)) + 3/4*log((x^4 + 4*x^3 + 2*x^2 - 4*sqrt(x^3 - x)*(x^2 + 1) - 4*x + 1)/(x^4 - 4*x^3 + 2*x^2 + 4*x + 1))","B",0
958,1,74,0,0.466050," ","integrate(x*(x^2-3)/(x^2-1)^(2/3)/(x^3-x^2+1),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{2} - 1\right)}^{\frac{1}{3}}}{3 \, x}\right) + \log\left(-\frac{x - {\left(x^{2} - 1\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{2} \, \log\left(\frac{x^{2} + {\left(x^{2} - 1\right)}^{\frac{1}{3}} x + {\left(x^{2} - 1\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^2 - 1)^(1/3))/x) + log(-(x - (x^2 - 1)^(1/3))/x) - 1/2*log((x^2 + (x^2 - 1)^(1/3)*x + (x^2 - 1)^(2/3))/x^2)","A",0
959,1,90,0,0.542481," ","integrate(x^2*(x^4-x^3)^(1/4),x, algorithm=""fricas"")","\frac{1}{1536} \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(384 \, x^{3} - 32 \, x^{2} - 44 \, x - 77\right)} - \frac{77}{1024} \, \arctan\left(\frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{77}{2048} \, \log\left(\frac{x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{77}{2048} \, \log\left(-\frac{x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"1/1536*(x^4 - x^3)^(1/4)*(384*x^3 - 32*x^2 - 44*x - 77) - 77/1024*arctan((x^4 - x^3)^(1/4)/x) - 77/2048*log((x + (x^4 - x^3)^(1/4))/x) + 77/2048*log(-(x - (x^4 - x^3)^(1/4))/x)","A",0
960,1,122,0,0.678867," ","integrate((x^4+3)*(-x^5+x^4+x)^(1/2)/(x^4-1)/(x^4+x^3-1),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \log\left(\frac{x^{8} - 14 \, x^{7} + 17 \, x^{6} - 2 \, x^{4} + 14 \, x^{3} - 4 \, \sqrt{2} {\left(x^{5} - 3 \, x^{4} - x\right)} \sqrt{-x^{5} + x^{4} + x} + 1}{x^{8} + 2 \, x^{7} + x^{6} - 2 \, x^{4} - 2 \, x^{3} + 1}\right) + \log\left(-\frac{x^{4} - 2 \, x^{3} + 2 \, \sqrt{-x^{5} + x^{4} + x} x - 1}{x^{4} - 1}\right)"," ",0,"1/2*sqrt(2)*log((x^8 - 14*x^7 + 17*x^6 - 2*x^4 + 14*x^3 - 4*sqrt(2)*(x^5 - 3*x^4 - x)*sqrt(-x^5 + x^4 + x) + 1)/(x^8 + 2*x^7 + x^6 - 2*x^4 - 2*x^3 + 1)) + log(-(x^4 - 2*x^3 + 2*sqrt(-x^5 + x^4 + x)*x - 1)/(x^4 - 1))","A",0
961,1,221,0,0.733008," ","integrate((a*x^2-b)*(a*x^3+b*x)^(1/2)/(b^2*x+2*(a*b-1)*x^3+a^2*x^5),x, algorithm=""fricas"")","-\frac{1}{2} \cdot 2^{\frac{3}{4}} \arctan\left(\frac{2^{\frac{1}{4}} \sqrt{a x^{3} + b x}}{a x^{2} + b}\right) - \frac{1}{8} \cdot 2^{\frac{3}{4}} \log\left(\frac{a^{2} x^{4} + 2 \, {\left(a b + 1\right)} x^{2} + b^{2} + 2 \, \sqrt{2} {\left(a x^{3} + b x\right)} + 2 \, \sqrt{a x^{3} + b x} {\left(2^{\frac{3}{4}} x + 2^{\frac{1}{4}} {\left(a x^{2} + b\right)}\right)}}{a^{2} x^{4} + 2 \, {\left(a b - 1\right)} x^{2} + b^{2}}\right) + \frac{1}{8} \cdot 2^{\frac{3}{4}} \log\left(\frac{a^{2} x^{4} + 2 \, {\left(a b + 1\right)} x^{2} + b^{2} + 2 \, \sqrt{2} {\left(a x^{3} + b x\right)} - 2 \, \sqrt{a x^{3} + b x} {\left(2^{\frac{3}{4}} x + 2^{\frac{1}{4}} {\left(a x^{2} + b\right)}\right)}}{a^{2} x^{4} + 2 \, {\left(a b - 1\right)} x^{2} + b^{2}}\right)"," ",0,"-1/2*2^(3/4)*arctan(2^(1/4)*sqrt(a*x^3 + b*x)/(a*x^2 + b)) - 1/8*2^(3/4)*log((a^2*x^4 + 2*(a*b + 1)*x^2 + b^2 + 2*sqrt(2)*(a*x^3 + b*x) + 2*sqrt(a*x^3 + b*x)*(2^(3/4)*x + 2^(1/4)*(a*x^2 + b)))/(a^2*x^4 + 2*(a*b - 1)*x^2 + b^2)) + 1/8*2^(3/4)*log((a^2*x^4 + 2*(a*b + 1)*x^2 + b^2 + 2*sqrt(2)*(a*x^3 + b*x) - 2*sqrt(a*x^3 + b*x)*(2^(3/4)*x + 2^(1/4)*(a*x^2 + b)))/(a^2*x^4 + 2*(a*b - 1)*x^2 + b^2))","B",0
962,-2,0,0,0.000000," ","integrate((x^3-2)*(x^3+1)^(2/3)/x^3/(x^6+x^3+2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
963,-2,0,0,0.000000," ","integrate((x^3-2)*(x^3+1)^(2/3)/x^3/(x^6+x^3+2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
964,1,111,0,0.581594," ","integrate((2*x^5-3)*(x^6+2*x^4+x)^(1/2)/(x^5+1)/(x^5+x^3+1),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \log\left(-\frac{x^{10} + 16 \, x^{8} + 32 \, x^{6} + 2 \, x^{5} + 16 \, x^{3} - 4 \, \sqrt{2} {\left(x^{6} + 4 \, x^{4} + x\right)} \sqrt{x^{6} + 2 \, x^{4} + x} + 1}{x^{10} + 2 \, x^{5} + 1}\right) + \log\left(-\frac{x^{5} + 3 \, x^{3} + 2 \, \sqrt{x^{6} + 2 \, x^{4} + x} x + 1}{x^{5} + x^{3} + 1}\right)"," ",0,"1/2*sqrt(2)*log(-(x^10 + 16*x^8 + 32*x^6 + 2*x^5 + 16*x^3 - 4*sqrt(2)*(x^6 + 4*x^4 + x)*sqrt(x^6 + 2*x^4 + x) + 1)/(x^10 + 2*x^5 + 1)) + log(-(x^5 + 3*x^3 + 2*sqrt(x^6 + 2*x^4 + x)*x + 1)/(x^5 + x^3 + 1))","A",0
965,1,6596,0,8.836692," ","integrate((x^6+x^4+x^2-1)^(1/2)*(2*x^6+x^4+1)/(x^12+2*x^10+x^8-2*x^6-x^4+1),x, algorithm=""fricas"")","\frac{1}{32} \cdot 2^{\frac{1}{4}} \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} \log\left(\frac{2 \, {\left(8 \, x^{8} + 8 \, x^{6} + 8 \, x^{4} + 2 \cdot 2^{\frac{1}{4}} {\left(x^{7} + x^{5} + \sqrt{2} x^{3} + x^{3} - x\right)} \sqrt{x^{6} + x^{4} + x^{2} - 1} \sqrt{2 \, \sqrt{2} + 4} - 8 \, x^{2} + \sqrt{2} {\left(x^{12} + 2 \, x^{10} + 5 \, x^{8} + 2 \, x^{6} + 3 \, x^{4} - 4 \, x^{2} + 1\right)}\right)}}{x^{12} + 2 \, x^{10} + x^{8} - 2 \, x^{6} - x^{4} + 1}\right) - \frac{1}{32} \cdot 2^{\frac{1}{4}} \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} \log\left(\frac{2 \, {\left(8 \, x^{8} + 8 \, x^{6} + 8 \, x^{4} - 2 \cdot 2^{\frac{1}{4}} {\left(x^{7} + x^{5} + \sqrt{2} x^{3} + x^{3} - x\right)} \sqrt{x^{6} + x^{4} + x^{2} - 1} \sqrt{2 \, \sqrt{2} + 4} - 8 \, x^{2} + \sqrt{2} {\left(x^{12} + 2 \, x^{10} + 5 \, x^{8} + 2 \, x^{6} + 3 \, x^{4} - 4 \, x^{2} + 1\right)}\right)}}{x^{12} + 2 \, x^{10} + x^{8} - 2 \, x^{6} - x^{4} + 1}\right) + \frac{1}{8} \cdot 2^{\frac{3}{4}} \sqrt{2 \, \sqrt{2} + 4} \arctan\left(\frac{4 \, x^{72} + 48 \, x^{70} + 296 \, x^{68} + 1184 \, x^{66} + 4100 \, x^{64} + 14336 \, x^{62} + 48576 \, x^{60} + 136416 \, x^{58} + 243584 \, x^{56} + 55200 \, x^{54} - 1076416 \, x^{52} - 3184640 \, x^{50} - 3948592 \, x^{48} + 641728 \, x^{46} + 10292800 \, x^{44} + 15128864 \, x^{42} + 3787784 \, x^{40} - 17971776 \, x^{38} - 25671216 \, x^{36} - 5595392 \, x^{34} + 21212056 \, x^{32} + 22744448 \, x^{30} - 89792 \, x^{28} - 16094688 \, x^{26} - 9256416 \, x^{24} + 4023008 \, x^{22} + 6035840 \, x^{20} + 544896 \, x^{18} - 1868656 \, x^{16} - 554560 \, x^{14} + 332224 \, x^{12} + 116192 \, x^{10} - 36524 \, x^{8} - 5232 \, x^{6} + 840 \, x^{4} - 32 \, x^{2} + 4 \, \sqrt{x^{6} + x^{4} + x^{2} - 1} {\left(2^{\frac{3}{4}} {\left(4 \, x^{67} + 44 \, x^{65} + 254 \, x^{63} + 956 \, x^{61} + 2382 \, x^{59} + 3356 \, x^{57} + 350 \, x^{55} - 7792 \, x^{53} - 5766 \, x^{51} + 40296 \, x^{49} + 137174 \, x^{47} + 186756 \, x^{45} + 20238 \, x^{43} - 366284 \, x^{41} - 611162 \, x^{39} - 279864 \, x^{37} + 486370 \, x^{35} + 879240 \, x^{33} + 368218 \, x^{31} - 485916 \, x^{29} - 681958 \, x^{27} - 123804 \, x^{25} + 351834 \, x^{23} + 245984 \, x^{21} - 61090 \, x^{19} - 118680 \, x^{17} - 9422 \, x^{15} + 30876 \, x^{13} + 4842 \, x^{11} - 5236 \, x^{9} + 194 \, x^{7} + 72 \, x^{5} + 34 \, x^{3} - \sqrt{2} {\left(3 \, x^{67} + 33 \, x^{65} + 188 \, x^{63} + 692 \, x^{61} + 1414 \, x^{59} - 98 \, x^{57} - 11242 \, x^{55} - 39830 \, x^{53} - 72700 \, x^{51} - 52668 \, x^{49} + 87784 \, x^{47} + 304536 \, x^{45} + 361362 \, x^{43} + 19402 \, x^{41} - 562182 \, x^{39} - 769994 \, x^{37} - 196922 \, x^{35} + 665266 \, x^{33} + 842764 \, x^{31} + 131812 \, x^{29} - 569670 \, x^{27} - 479358 \, x^{25} + 68762 \, x^{23} + 294150 \, x^{21} + 92604 \, x^{19} - 86324 \, x^{17} - 54576 \, x^{15} + 14160 \, x^{13} + 14126 \, x^{11} - 2090 \, x^{9} - 1674 \, x^{7} + 314 \, x^{5} + 23 \, x^{3} - 3 \, x\right)} - 4 \, x\right)} + 32 \cdot 2^{\frac{1}{4}} {\left(7 \, x^{63} + 70 \, x^{61} + 419 \, x^{59} + 1706 \, x^{57} + 4942 \, x^{55} + 9908 \, x^{53} + 11825 \, x^{51} + 580 \, x^{49} - 28977 \, x^{47} - 58322 \, x^{45} - 45399 \, x^{43} + 29706 \, x^{41} + 111540 \, x^{39} + 100724 \, x^{37} - 20967 \, x^{35} - 131220 \, x^{33} - 100923 \, x^{31} + 30198 \, x^{29} + 100465 \, x^{27} + 45314 \, x^{25} - 34938 \, x^{23} - 41936 \, x^{21} - 1689 \, x^{19} + 16480 \, x^{17} + 5389 \, x^{15} - 3690 \, x^{13} - 1861 \, x^{11} + 586 \, x^{9} + 288 \, x^{7} - 104 \, x^{5} + 7 \, x^{3} - \sqrt{2} {\left(5 \, x^{63} + 50 \, x^{61} + 298 \, x^{59} + 1207 \, x^{57} + 3407 \, x^{55} + 6367 \, x^{53} + 6040 \, x^{51} - 4429 \, x^{49} - 25315 \, x^{47} - 38326 \, x^{45} - 15109 \, x^{43} + 43760 \, x^{41} + 83353 \, x^{39} + 43063 \, x^{37} - 53901 \, x^{35} - 101512 \, x^{33} - 39859 \, x^{31} + 55764 \, x^{29} + 71846 \, x^{27} + 8493 \, x^{25} - 38913 \, x^{23} - 24125 \, x^{21} + 7816 \, x^{19} + 12629 \, x^{17} + 1009 \, x^{15} - 3464 \, x^{13} - 795 \, x^{11} + 596 \, x^{9} + 129 \, x^{7} - 73 \, x^{5} + 5 \, x^{3}\right)}\right)}\right)} \sqrt{2 \, \sqrt{2} + 4} - \sqrt{2} {\left(8 \, {\left(96 \, x^{63} + 960 \, x^{61} + 5440 \, x^{59} + 20640 \, x^{57} + 49056 \, x^{55} + 51360 \, x^{53} - 86656 \, x^{51} - 440800 \, x^{49} - 748192 \, x^{47} - 344896 \, x^{45} + 1050528 \, x^{43} + 2298624 \, x^{41} + 1470048 \, x^{39} - 1480800 \, x^{37} - 3533152 \, x^{35} - 1909504 \, x^{33} + 1775712 \, x^{31} + 3135616 \, x^{29} + 903360 \, x^{27} - 1581856 \, x^{25} - 1461344 \, x^{23} + 115232 \, x^{21} + 733312 \, x^{19} + 220384 \, x^{17} - 187936 \, x^{15} - 105984 \, x^{13} + 26720 \, x^{11} + 22144 \, x^{9} - 3744 \, x^{7} - 1120 \, x^{5} + 96 \, x^{3} + \sqrt{2} {\left(2 \, x^{67} + 22 \, x^{65} + 118 \, x^{63} + 388 \, x^{61} + 242 \, x^{59} - 4208 \, x^{57} - 24094 \, x^{55} - 72564 \, x^{53} - 137454 \, x^{51} - 143968 \, x^{49} + 17718 \, x^{47} + 348676 \, x^{45} + 593306 \, x^{43} + 379088 \, x^{41} - 322846 \, x^{39} - 921236 \, x^{37} - 716514 \, x^{35} + 200860 \, x^{33} + 869330 \, x^{31} + 583276 \, x^{29} - 209930 \, x^{27} - 538448 \, x^{25} - 193674 \, x^{23} + 190852 \, x^{21} + 173798 \, x^{19} - 18704 \, x^{17} - 68382 \, x^{15} - 6708 \, x^{13} + 16990 \, x^{11} + 2096 \, x^{9} - 3418 \, x^{7} + 580 \, x^{5} + 8 \, x^{3} - \sqrt{2} {\left(x^{67} + 11 \, x^{65} + 63 \, x^{63} + 234 \, x^{61} + 817 \, x^{59} + 2980 \, x^{57} + 10977 \, x^{55} + 33730 \, x^{53} + 77885 \, x^{51} + 120232 \, x^{49} + 83383 \, x^{47} - 117086 \, x^{45} - 415651 \, x^{43} - 508756 \, x^{41} - 102871 \, x^{39} + 599162 \, x^{37} + 876907 \, x^{35} + 288542 \, x^{33} - 600475 \, x^{31} - 787586 \, x^{29} - 136717 \, x^{27} + 458364 \, x^{25} + 357051 \, x^{23} - 66490 \, x^{21} - 195937 \, x^{19} - 40496 \, x^{17} + 57109 \, x^{15} + 21718 \, x^{13} - 11153 \, x^{11} - 4332 \, x^{9} + 2219 \, x^{7} - 226 \, x^{5} + 8 \, x^{3} - x\right)} - 2 \, x\right)} - 64 \, \sqrt{2} {\left(x^{63} + 10 \, x^{61} + 58 \, x^{59} + 227 \, x^{57} + 647 \, x^{55} + 1339 \, x^{53} + 1888 \, x^{51} + 1247 \, x^{49} - 1539 \, x^{47} - 5654 \, x^{45} - 7517 \, x^{43} - 3320 \, x^{41} + 5833 \, x^{39} + 12123 \, x^{37} + 8079 \, x^{35} - 3712 \, x^{33} - 11255 \, x^{31} - 6900 \, x^{29} + 3078 \, x^{27} + 6825 \, x^{25} + 2263 \, x^{23} - 2521 \, x^{21} - 2152 \, x^{19} + 321 \, x^{17} + 873 \, x^{15} + 40 \, x^{13} - 227 \, x^{11} - 12 \, x^{9} + 49 \, x^{7} - 13 \, x^{5} + x^{3}\right)}\right)} \sqrt{x^{6} + x^{4} + x^{2} - 1} + {\left(2^{\frac{3}{4}} {\left(2 \, x^{72} + 24 \, x^{70} + 136 \, x^{68} + 460 \, x^{66} + 346 \, x^{64} - 5120 \, x^{62} - 32464 \, x^{60} - 110424 \, x^{58} - 252208 \, x^{56} - 389560 \, x^{54} - 341144 \, x^{52} + 79120 \, x^{50} + 799728 \, x^{48} + 1350768 \, x^{46} + 1111936 \, x^{44} - 74504 \, x^{42} - 1522780 \, x^{40} - 2032504 \, x^{38} - 965272 \, x^{36} + 913656 \, x^{34} + 1874548 \, x^{32} + 1026656 \, x^{30} - 569936 \, x^{28} - 1124264 \, x^{26} - 356512 \, x^{24} + 426616 \, x^{22} + 348824 \, x^{20} - 67920 \, x^{18} - 144192 \, x^{16} + 6448 \, x^{14} + 39840 \, x^{12} - 3832 \, x^{10} - 9558 \, x^{8} + 4384 \, x^{6} - 624 \, x^{4} - 4 \, x^{2} - \sqrt{2} {\left(x^{72} + 12 \, x^{70} + 70 \, x^{68} + 252 \, x^{66} + 797 \, x^{64} + 2888 \, x^{62} + 12884 \, x^{60} + 51176 \, x^{58} + 154948 \, x^{56} + 333264 \, x^{54} + 457924 \, x^{52} + 205280 \, x^{50} - 675088 \, x^{48} - 1778088 \, x^{46} - 1864860 \, x^{44} + 4696 \, x^{42} + 2766982 \, x^{40} + 3558712 \, x^{38} + 879248 \, x^{36} - 2842552 \, x^{34} - 3525414 \, x^{32} - 580552 \, x^{30} + 2245884 \, x^{28} + 1903448 \, x^{26} - 238828 \, x^{24} - 1144976 \, x^{22} - 379236 \, x^{20} + 339296 \, x^{18} + 231128 \, x^{16} - 58328 \, x^{14} - 66100 \, x^{12} + 8808 \, x^{10} + 11425 \, x^{8} - 3332 \, x^{6} + 202 \, x^{4} - 4 \, x^{2} + 1\right)} + 2\right)} + 32 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{68} + 33 \, x^{66} + 192 \, x^{64} + 732 \, x^{62} + 1667 \, x^{60} + 999 \, x^{58} - 7745 \, x^{56} - 31675 \, x^{54} - 60846 \, x^{52} - 50794 \, x^{50} + 47578 \, x^{48} + 198202 \, x^{46} + 236845 \, x^{44} + 22241 \, x^{42} - 317451 \, x^{40} - 411513 \, x^{38} - 79666 \, x^{36} + 350286 \, x^{34} + 387324 \, x^{32} + 18696 \, x^{30} - 277635 \, x^{28} - 192343 \, x^{26} + 56169 \, x^{24} + 131091 \, x^{22} + 30626 \, x^{20} - 42978 \, x^{18} - 24118 \, x^{16} + 7618 \, x^{14} + 7491 \, x^{12} - 833 \, x^{10} - 1325 \, x^{8} + 241 \, x^{6} + 27 \, x^{4} - 3 \, x^{2} - 2 \, \sqrt{2} {\left(x^{68} + 11 \, x^{66} + 65 \, x^{64} + 254 \, x^{62} + 688 \, x^{60} + 1229 \, x^{58} + 1177 \, x^{56} - 159 \, x^{54} - 1409 \, x^{52} + 1268 \, x^{50} + 8391 \, x^{48} + 9600 \, x^{46} - 8210 \, x^{44} - 35643 \, x^{42} - 35291 \, x^{40} + 12263 \, x^{38} + 63145 \, x^{36} + 50646 \, x^{34} - 19181 \, x^{32} - 62618 \, x^{30} - 30972 \, x^{28} + 23959 \, x^{26} + 33055 \, x^{24} + 3647 \, x^{22} - 13803 \, x^{20} - 6372 \, x^{18} + 2797 \, x^{16} + 2316 \, x^{14} - 250 \, x^{12} - 393 \, x^{10} + 43 \, x^{8} - 7 \, x^{6} + 10 \, x^{4} - x^{2}\right)}\right)}\right)} \sqrt{2 \, \sqrt{2} + 4}\right)} \sqrt{\frac{8 \, x^{8} + 8 \, x^{6} + 8 \, x^{4} - 2 \cdot 2^{\frac{1}{4}} {\left(x^{7} + x^{5} + \sqrt{2} x^{3} + x^{3} - x\right)} \sqrt{x^{6} + x^{4} + x^{2} - 1} \sqrt{2 \, \sqrt{2} + 4} - 8 \, x^{2} + \sqrt{2} {\left(x^{12} + 2 \, x^{10} + 5 \, x^{8} + 2 \, x^{6} + 3 \, x^{4} - 4 \, x^{2} + 1\right)}}{x^{12} + 2 \, x^{10} + x^{8} - 2 \, x^{6} - x^{4} + 1}} - 4 \, \sqrt{2} {\left(x^{72} + 12 \, x^{70} + 70 \, x^{68} + 252 \, x^{66} + 289 \, x^{64} - 2192 \, x^{62} - 15608 \, x^{60} - 55392 \, x^{58} - 128904 \, x^{56} - 195392 \, x^{54} - 141296 \, x^{52} + 145968 \, x^{50} + 580196 \, x^{48} + 769168 \, x^{46} + 293368 \, x^{44} - 697024 \, x^{42} - 1316726 \, x^{40} - 756072 \, x^{38} + 603004 \, x^{36} + 1358312 \, x^{34} + 692582 \, x^{32} - 542064 \, x^{30} - 916232 \, x^{28} - 242784 \, x^{26} + 407920 \, x^{24} + 337184 \, x^{22} - 47200 \, x^{20} - 157840 \, x^{18} - 29164 \, x^{16} + 44016 \, x^{14} + 14280 \, x^{12} - 8448 \, x^{10} - 3635 \, x^{8} + 2300 \, x^{6} - 306 \, x^{4} - 4 \, x^{2} + 1\right)} + 32 \, \sqrt{2} {\left(4 \, x^{68} + 44 \, x^{66} + 270 \, x^{64} + 1116 \, x^{62} + 3296 \, x^{60} + 6862 \, x^{58} + 8948 \, x^{56} + 2582 \, x^{54} - 17690 \, x^{52} - 42620 \, x^{50} - 42854 \, x^{48} + 6248 \, x^{46} + 80340 \, x^{44} + 102634 \, x^{42} + 22328 \, x^{40} - 99350 \, x^{38} - 129878 \, x^{36} - 25440 \, x^{34} + 96146 \, x^{32} + 97356 \, x^{30} - 1816 \, x^{28} - 66446 \, x^{26} - 36828 \, x^{24} + 16858 \, x^{22} + 24794 \, x^{20} + 2228 \, x^{18} - 8218 \, x^{16} - 2768 \, x^{14} + 1700 \, x^{12} + 822 \, x^{10} - 272 \, x^{8} - 122 \, x^{6} + 50 \, x^{4} - 4 \, x^{2} - \sqrt{2} {\left(3 \, x^{68} + 33 \, x^{66} + 199 \, x^{64} + 802 \, x^{62} + 2049 \, x^{60} + 2372 \, x^{58} - 4629 \, x^{56} - 28494 \, x^{54} - 65691 \, x^{52} - 75144 \, x^{50} + 8627 \, x^{48} + 186586 \, x^{46} + 305253 \, x^{44} + 151484 \, x^{42} - 254305 \, x^{40} - 526582 \, x^{38} - 293969 \, x^{36} + 265274 \, x^{34} + 530181 \, x^{32} + 214406 \, x^{30} - 247757 \, x^{28} - 311140 \, x^{26} - 30847 \, x^{24} + 151478 \, x^{22} + 79831 \, x^{20} - 33520 \, x^{18} - 37775 \, x^{16} + 2014 \, x^{14} + 9623 \, x^{12} + 260 \, x^{10} - 1531 \, x^{8} + 174 \, x^{6} + 34 \, x^{4} - 3 \, x^{2}\right)}\right)} + 4}{4 \, {\left(x^{72} + 12 \, x^{70} + 66 \, x^{68} + 208 \, x^{66} - 1231 \, x^{64} - 15808 \, x^{62} - 92240 \, x^{60} - 353528 \, x^{58} - 932160 \, x^{56} - 1578120 \, x^{54} - 1110816 \, x^{52} + 2069088 \, x^{50} + 7253380 \, x^{48} + 8954960 \, x^{46} + 771888 \, x^{44} - 14239944 \, x^{42} - 20370430 \, x^{40} - 5559520 \, x^{38} + 18409812 \, x^{36} + 24321040 \, x^{34} + 4205494 \, x^{32} - 17469984 \, x^{30} - 15945008 \, x^{28} + 1564600 \, x^{26} + 10561384 \, x^{24} + 4478760 \, x^{22} - 3021680 \, x^{20} - 2938176 \, x^{18} + 184980 \, x^{16} + 919568 \, x^{14} + 106256 \, x^{12} - 172664 \, x^{10} - 20075 \, x^{8} + 19508 \, x^{6} - 1606 \, x^{4} + 1\right)}}\right) + \frac{1}{8} \cdot 2^{\frac{3}{4}} \sqrt{2 \, \sqrt{2} + 4} \arctan\left(-\frac{4 \, x^{72} + 48 \, x^{70} + 296 \, x^{68} + 1184 \, x^{66} + 4100 \, x^{64} + 14336 \, x^{62} + 48576 \, x^{60} + 136416 \, x^{58} + 243584 \, x^{56} + 55200 \, x^{54} - 1076416 \, x^{52} - 3184640 \, x^{50} - 3948592 \, x^{48} + 641728 \, x^{46} + 10292800 \, x^{44} + 15128864 \, x^{42} + 3787784 \, x^{40} - 17971776 \, x^{38} - 25671216 \, x^{36} - 5595392 \, x^{34} + 21212056 \, x^{32} + 22744448 \, x^{30} - 89792 \, x^{28} - 16094688 \, x^{26} - 9256416 \, x^{24} + 4023008 \, x^{22} + 6035840 \, x^{20} + 544896 \, x^{18} - 1868656 \, x^{16} - 554560 \, x^{14} + 332224 \, x^{12} + 116192 \, x^{10} - 36524 \, x^{8} - 5232 \, x^{6} + 840 \, x^{4} - 32 \, x^{2} - 4 \, \sqrt{x^{6} + x^{4} + x^{2} - 1} {\left(2^{\frac{3}{4}} {\left(4 \, x^{67} + 44 \, x^{65} + 254 \, x^{63} + 956 \, x^{61} + 2382 \, x^{59} + 3356 \, x^{57} + 350 \, x^{55} - 7792 \, x^{53} - 5766 \, x^{51} + 40296 \, x^{49} + 137174 \, x^{47} + 186756 \, x^{45} + 20238 \, x^{43} - 366284 \, x^{41} - 611162 \, x^{39} - 279864 \, x^{37} + 486370 \, x^{35} + 879240 \, x^{33} + 368218 \, x^{31} - 485916 \, x^{29} - 681958 \, x^{27} - 123804 \, x^{25} + 351834 \, x^{23} + 245984 \, x^{21} - 61090 \, x^{19} - 118680 \, x^{17} - 9422 \, x^{15} + 30876 \, x^{13} + 4842 \, x^{11} - 5236 \, x^{9} + 194 \, x^{7} + 72 \, x^{5} + 34 \, x^{3} - \sqrt{2} {\left(3 \, x^{67} + 33 \, x^{65} + 188 \, x^{63} + 692 \, x^{61} + 1414 \, x^{59} - 98 \, x^{57} - 11242 \, x^{55} - 39830 \, x^{53} - 72700 \, x^{51} - 52668 \, x^{49} + 87784 \, x^{47} + 304536 \, x^{45} + 361362 \, x^{43} + 19402 \, x^{41} - 562182 \, x^{39} - 769994 \, x^{37} - 196922 \, x^{35} + 665266 \, x^{33} + 842764 \, x^{31} + 131812 \, x^{29} - 569670 \, x^{27} - 479358 \, x^{25} + 68762 \, x^{23} + 294150 \, x^{21} + 92604 \, x^{19} - 86324 \, x^{17} - 54576 \, x^{15} + 14160 \, x^{13} + 14126 \, x^{11} - 2090 \, x^{9} - 1674 \, x^{7} + 314 \, x^{5} + 23 \, x^{3} - 3 \, x\right)} - 4 \, x\right)} + 32 \cdot 2^{\frac{1}{4}} {\left(7 \, x^{63} + 70 \, x^{61} + 419 \, x^{59} + 1706 \, x^{57} + 4942 \, x^{55} + 9908 \, x^{53} + 11825 \, x^{51} + 580 \, x^{49} - 28977 \, x^{47} - 58322 \, x^{45} - 45399 \, x^{43} + 29706 \, x^{41} + 111540 \, x^{39} + 100724 \, x^{37} - 20967 \, x^{35} - 131220 \, x^{33} - 100923 \, x^{31} + 30198 \, x^{29} + 100465 \, x^{27} + 45314 \, x^{25} - 34938 \, x^{23} - 41936 \, x^{21} - 1689 \, x^{19} + 16480 \, x^{17} + 5389 \, x^{15} - 3690 \, x^{13} - 1861 \, x^{11} + 586 \, x^{9} + 288 \, x^{7} - 104 \, x^{5} + 7 \, x^{3} - \sqrt{2} {\left(5 \, x^{63} + 50 \, x^{61} + 298 \, x^{59} + 1207 \, x^{57} + 3407 \, x^{55} + 6367 \, x^{53} + 6040 \, x^{51} - 4429 \, x^{49} - 25315 \, x^{47} - 38326 \, x^{45} - 15109 \, x^{43} + 43760 \, x^{41} + 83353 \, x^{39} + 43063 \, x^{37} - 53901 \, x^{35} - 101512 \, x^{33} - 39859 \, x^{31} + 55764 \, x^{29} + 71846 \, x^{27} + 8493 \, x^{25} - 38913 \, x^{23} - 24125 \, x^{21} + 7816 \, x^{19} + 12629 \, x^{17} + 1009 \, x^{15} - 3464 \, x^{13} - 795 \, x^{11} + 596 \, x^{9} + 129 \, x^{7} - 73 \, x^{5} + 5 \, x^{3}\right)}\right)}\right)} \sqrt{2 \, \sqrt{2} + 4} - \sqrt{2} {\left(8 \, {\left(96 \, x^{63} + 960 \, x^{61} + 5440 \, x^{59} + 20640 \, x^{57} + 49056 \, x^{55} + 51360 \, x^{53} - 86656 \, x^{51} - 440800 \, x^{49} - 748192 \, x^{47} - 344896 \, x^{45} + 1050528 \, x^{43} + 2298624 \, x^{41} + 1470048 \, x^{39} - 1480800 \, x^{37} - 3533152 \, x^{35} - 1909504 \, x^{33} + 1775712 \, x^{31} + 3135616 \, x^{29} + 903360 \, x^{27} - 1581856 \, x^{25} - 1461344 \, x^{23} + 115232 \, x^{21} + 733312 \, x^{19} + 220384 \, x^{17} - 187936 \, x^{15} - 105984 \, x^{13} + 26720 \, x^{11} + 22144 \, x^{9} - 3744 \, x^{7} - 1120 \, x^{5} + 96 \, x^{3} + \sqrt{2} {\left(2 \, x^{67} + 22 \, x^{65} + 118 \, x^{63} + 388 \, x^{61} + 242 \, x^{59} - 4208 \, x^{57} - 24094 \, x^{55} - 72564 \, x^{53} - 137454 \, x^{51} - 143968 \, x^{49} + 17718 \, x^{47} + 348676 \, x^{45} + 593306 \, x^{43} + 379088 \, x^{41} - 322846 \, x^{39} - 921236 \, x^{37} - 716514 \, x^{35} + 200860 \, x^{33} + 869330 \, x^{31} + 583276 \, x^{29} - 209930 \, x^{27} - 538448 \, x^{25} - 193674 \, x^{23} + 190852 \, x^{21} + 173798 \, x^{19} - 18704 \, x^{17} - 68382 \, x^{15} - 6708 \, x^{13} + 16990 \, x^{11} + 2096 \, x^{9} - 3418 \, x^{7} + 580 \, x^{5} + 8 \, x^{3} - \sqrt{2} {\left(x^{67} + 11 \, x^{65} + 63 \, x^{63} + 234 \, x^{61} + 817 \, x^{59} + 2980 \, x^{57} + 10977 \, x^{55} + 33730 \, x^{53} + 77885 \, x^{51} + 120232 \, x^{49} + 83383 \, x^{47} - 117086 \, x^{45} - 415651 \, x^{43} - 508756 \, x^{41} - 102871 \, x^{39} + 599162 \, x^{37} + 876907 \, x^{35} + 288542 \, x^{33} - 600475 \, x^{31} - 787586 \, x^{29} - 136717 \, x^{27} + 458364 \, x^{25} + 357051 \, x^{23} - 66490 \, x^{21} - 195937 \, x^{19} - 40496 \, x^{17} + 57109 \, x^{15} + 21718 \, x^{13} - 11153 \, x^{11} - 4332 \, x^{9} + 2219 \, x^{7} - 226 \, x^{5} + 8 \, x^{3} - x\right)} - 2 \, x\right)} - 64 \, \sqrt{2} {\left(x^{63} + 10 \, x^{61} + 58 \, x^{59} + 227 \, x^{57} + 647 \, x^{55} + 1339 \, x^{53} + 1888 \, x^{51} + 1247 \, x^{49} - 1539 \, x^{47} - 5654 \, x^{45} - 7517 \, x^{43} - 3320 \, x^{41} + 5833 \, x^{39} + 12123 \, x^{37} + 8079 \, x^{35} - 3712 \, x^{33} - 11255 \, x^{31} - 6900 \, x^{29} + 3078 \, x^{27} + 6825 \, x^{25} + 2263 \, x^{23} - 2521 \, x^{21} - 2152 \, x^{19} + 321 \, x^{17} + 873 \, x^{15} + 40 \, x^{13} - 227 \, x^{11} - 12 \, x^{9} + 49 \, x^{7} - 13 \, x^{5} + x^{3}\right)}\right)} \sqrt{x^{6} + x^{4} + x^{2} - 1} - {\left(2^{\frac{3}{4}} {\left(2 \, x^{72} + 24 \, x^{70} + 136 \, x^{68} + 460 \, x^{66} + 346 \, x^{64} - 5120 \, x^{62} - 32464 \, x^{60} - 110424 \, x^{58} - 252208 \, x^{56} - 389560 \, x^{54} - 341144 \, x^{52} + 79120 \, x^{50} + 799728 \, x^{48} + 1350768 \, x^{46} + 1111936 \, x^{44} - 74504 \, x^{42} - 1522780 \, x^{40} - 2032504 \, x^{38} - 965272 \, x^{36} + 913656 \, x^{34} + 1874548 \, x^{32} + 1026656 \, x^{30} - 569936 \, x^{28} - 1124264 \, x^{26} - 356512 \, x^{24} + 426616 \, x^{22} + 348824 \, x^{20} - 67920 \, x^{18} - 144192 \, x^{16} + 6448 \, x^{14} + 39840 \, x^{12} - 3832 \, x^{10} - 9558 \, x^{8} + 4384 \, x^{6} - 624 \, x^{4} - 4 \, x^{2} - \sqrt{2} {\left(x^{72} + 12 \, x^{70} + 70 \, x^{68} + 252 \, x^{66} + 797 \, x^{64} + 2888 \, x^{62} + 12884 \, x^{60} + 51176 \, x^{58} + 154948 \, x^{56} + 333264 \, x^{54} + 457924 \, x^{52} + 205280 \, x^{50} - 675088 \, x^{48} - 1778088 \, x^{46} - 1864860 \, x^{44} + 4696 \, x^{42} + 2766982 \, x^{40} + 3558712 \, x^{38} + 879248 \, x^{36} - 2842552 \, x^{34} - 3525414 \, x^{32} - 580552 \, x^{30} + 2245884 \, x^{28} + 1903448 \, x^{26} - 238828 \, x^{24} - 1144976 \, x^{22} - 379236 \, x^{20} + 339296 \, x^{18} + 231128 \, x^{16} - 58328 \, x^{14} - 66100 \, x^{12} + 8808 \, x^{10} + 11425 \, x^{8} - 3332 \, x^{6} + 202 \, x^{4} - 4 \, x^{2} + 1\right)} + 2\right)} + 32 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{68} + 33 \, x^{66} + 192 \, x^{64} + 732 \, x^{62} + 1667 \, x^{60} + 999 \, x^{58} - 7745 \, x^{56} - 31675 \, x^{54} - 60846 \, x^{52} - 50794 \, x^{50} + 47578 \, x^{48} + 198202 \, x^{46} + 236845 \, x^{44} + 22241 \, x^{42} - 317451 \, x^{40} - 411513 \, x^{38} - 79666 \, x^{36} + 350286 \, x^{34} + 387324 \, x^{32} + 18696 \, x^{30} - 277635 \, x^{28} - 192343 \, x^{26} + 56169 \, x^{24} + 131091 \, x^{22} + 30626 \, x^{20} - 42978 \, x^{18} - 24118 \, x^{16} + 7618 \, x^{14} + 7491 \, x^{12} - 833 \, x^{10} - 1325 \, x^{8} + 241 \, x^{6} + 27 \, x^{4} - 3 \, x^{2} - 2 \, \sqrt{2} {\left(x^{68} + 11 \, x^{66} + 65 \, x^{64} + 254 \, x^{62} + 688 \, x^{60} + 1229 \, x^{58} + 1177 \, x^{56} - 159 \, x^{54} - 1409 \, x^{52} + 1268 \, x^{50} + 8391 \, x^{48} + 9600 \, x^{46} - 8210 \, x^{44} - 35643 \, x^{42} - 35291 \, x^{40} + 12263 \, x^{38} + 63145 \, x^{36} + 50646 \, x^{34} - 19181 \, x^{32} - 62618 \, x^{30} - 30972 \, x^{28} + 23959 \, x^{26} + 33055 \, x^{24} + 3647 \, x^{22} - 13803 \, x^{20} - 6372 \, x^{18} + 2797 \, x^{16} + 2316 \, x^{14} - 250 \, x^{12} - 393 \, x^{10} + 43 \, x^{8} - 7 \, x^{6} + 10 \, x^{4} - x^{2}\right)}\right)}\right)} \sqrt{2 \, \sqrt{2} + 4}\right)} \sqrt{\frac{8 \, x^{8} + 8 \, x^{6} + 8 \, x^{4} + 2 \cdot 2^{\frac{1}{4}} {\left(x^{7} + x^{5} + \sqrt{2} x^{3} + x^{3} - x\right)} \sqrt{x^{6} + x^{4} + x^{2} - 1} \sqrt{2 \, \sqrt{2} + 4} - 8 \, x^{2} + \sqrt{2} {\left(x^{12} + 2 \, x^{10} + 5 \, x^{8} + 2 \, x^{6} + 3 \, x^{4} - 4 \, x^{2} + 1\right)}}{x^{12} + 2 \, x^{10} + x^{8} - 2 \, x^{6} - x^{4} + 1}} - 4 \, \sqrt{2} {\left(x^{72} + 12 \, x^{70} + 70 \, x^{68} + 252 \, x^{66} + 289 \, x^{64} - 2192 \, x^{62} - 15608 \, x^{60} - 55392 \, x^{58} - 128904 \, x^{56} - 195392 \, x^{54} - 141296 \, x^{52} + 145968 \, x^{50} + 580196 \, x^{48} + 769168 \, x^{46} + 293368 \, x^{44} - 697024 \, x^{42} - 1316726 \, x^{40} - 756072 \, x^{38} + 603004 \, x^{36} + 1358312 \, x^{34} + 692582 \, x^{32} - 542064 \, x^{30} - 916232 \, x^{28} - 242784 \, x^{26} + 407920 \, x^{24} + 337184 \, x^{22} - 47200 \, x^{20} - 157840 \, x^{18} - 29164 \, x^{16} + 44016 \, x^{14} + 14280 \, x^{12} - 8448 \, x^{10} - 3635 \, x^{8} + 2300 \, x^{6} - 306 \, x^{4} - 4 \, x^{2} + 1\right)} + 32 \, \sqrt{2} {\left(4 \, x^{68} + 44 \, x^{66} + 270 \, x^{64} + 1116 \, x^{62} + 3296 \, x^{60} + 6862 \, x^{58} + 8948 \, x^{56} + 2582 \, x^{54} - 17690 \, x^{52} - 42620 \, x^{50} - 42854 \, x^{48} + 6248 \, x^{46} + 80340 \, x^{44} + 102634 \, x^{42} + 22328 \, x^{40} - 99350 \, x^{38} - 129878 \, x^{36} - 25440 \, x^{34} + 96146 \, x^{32} + 97356 \, x^{30} - 1816 \, x^{28} - 66446 \, x^{26} - 36828 \, x^{24} + 16858 \, x^{22} + 24794 \, x^{20} + 2228 \, x^{18} - 8218 \, x^{16} - 2768 \, x^{14} + 1700 \, x^{12} + 822 \, x^{10} - 272 \, x^{8} - 122 \, x^{6} + 50 \, x^{4} - 4 \, x^{2} - \sqrt{2} {\left(3 \, x^{68} + 33 \, x^{66} + 199 \, x^{64} + 802 \, x^{62} + 2049 \, x^{60} + 2372 \, x^{58} - 4629 \, x^{56} - 28494 \, x^{54} - 65691 \, x^{52} - 75144 \, x^{50} + 8627 \, x^{48} + 186586 \, x^{46} + 305253 \, x^{44} + 151484 \, x^{42} - 254305 \, x^{40} - 526582 \, x^{38} - 293969 \, x^{36} + 265274 \, x^{34} + 530181 \, x^{32} + 214406 \, x^{30} - 247757 \, x^{28} - 311140 \, x^{26} - 30847 \, x^{24} + 151478 \, x^{22} + 79831 \, x^{20} - 33520 \, x^{18} - 37775 \, x^{16} + 2014 \, x^{14} + 9623 \, x^{12} + 260 \, x^{10} - 1531 \, x^{8} + 174 \, x^{6} + 34 \, x^{4} - 3 \, x^{2}\right)}\right)} + 4}{4 \, {\left(x^{72} + 12 \, x^{70} + 66 \, x^{68} + 208 \, x^{66} - 1231 \, x^{64} - 15808 \, x^{62} - 92240 \, x^{60} - 353528 \, x^{58} - 932160 \, x^{56} - 1578120 \, x^{54} - 1110816 \, x^{52} + 2069088 \, x^{50} + 7253380 \, x^{48} + 8954960 \, x^{46} + 771888 \, x^{44} - 14239944 \, x^{42} - 20370430 \, x^{40} - 5559520 \, x^{38} + 18409812 \, x^{36} + 24321040 \, x^{34} + 4205494 \, x^{32} - 17469984 \, x^{30} - 15945008 \, x^{28} + 1564600 \, x^{26} + 10561384 \, x^{24} + 4478760 \, x^{22} - 3021680 \, x^{20} - 2938176 \, x^{18} + 184980 \, x^{16} + 919568 \, x^{14} + 106256 \, x^{12} - 172664 \, x^{10} - 20075 \, x^{8} + 19508 \, x^{6} - 1606 \, x^{4} + 1\right)}}\right)"," ",0,"1/32*2^(1/4)*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2)*log(2*(8*x^8 + 8*x^6 + 8*x^4 + 2*2^(1/4)*(x^7 + x^5 + sqrt(2)*x^3 + x^3 - x)*sqrt(x^6 + x^4 + x^2 - 1)*sqrt(2*sqrt(2) + 4) - 8*x^2 + sqrt(2)*(x^12 + 2*x^10 + 5*x^8 + 2*x^6 + 3*x^4 - 4*x^2 + 1))/(x^12 + 2*x^10 + x^8 - 2*x^6 - x^4 + 1)) - 1/32*2^(1/4)*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2)*log(2*(8*x^8 + 8*x^6 + 8*x^4 - 2*2^(1/4)*(x^7 + x^5 + sqrt(2)*x^3 + x^3 - x)*sqrt(x^6 + x^4 + x^2 - 1)*sqrt(2*sqrt(2) + 4) - 8*x^2 + sqrt(2)*(x^12 + 2*x^10 + 5*x^8 + 2*x^6 + 3*x^4 - 4*x^2 + 1))/(x^12 + 2*x^10 + x^8 - 2*x^6 - x^4 + 1)) + 1/8*2^(3/4)*sqrt(2*sqrt(2) + 4)*arctan(1/4*(4*x^72 + 48*x^70 + 296*x^68 + 1184*x^66 + 4100*x^64 + 14336*x^62 + 48576*x^60 + 136416*x^58 + 243584*x^56 + 55200*x^54 - 1076416*x^52 - 3184640*x^50 - 3948592*x^48 + 641728*x^46 + 10292800*x^44 + 15128864*x^42 + 3787784*x^40 - 17971776*x^38 - 25671216*x^36 - 5595392*x^34 + 21212056*x^32 + 22744448*x^30 - 89792*x^28 - 16094688*x^26 - 9256416*x^24 + 4023008*x^22 + 6035840*x^20 + 544896*x^18 - 1868656*x^16 - 554560*x^14 + 332224*x^12 + 116192*x^10 - 36524*x^8 - 5232*x^6 + 840*x^4 - 32*x^2 + 4*sqrt(x^6 + x^4 + x^2 - 1)*(2^(3/4)*(4*x^67 + 44*x^65 + 254*x^63 + 956*x^61 + 2382*x^59 + 3356*x^57 + 350*x^55 - 7792*x^53 - 5766*x^51 + 40296*x^49 + 137174*x^47 + 186756*x^45 + 20238*x^43 - 366284*x^41 - 611162*x^39 - 279864*x^37 + 486370*x^35 + 879240*x^33 + 368218*x^31 - 485916*x^29 - 681958*x^27 - 123804*x^25 + 351834*x^23 + 245984*x^21 - 61090*x^19 - 118680*x^17 - 9422*x^15 + 30876*x^13 + 4842*x^11 - 5236*x^9 + 194*x^7 + 72*x^5 + 34*x^3 - sqrt(2)*(3*x^67 + 33*x^65 + 188*x^63 + 692*x^61 + 1414*x^59 - 98*x^57 - 11242*x^55 - 39830*x^53 - 72700*x^51 - 52668*x^49 + 87784*x^47 + 304536*x^45 + 361362*x^43 + 19402*x^41 - 562182*x^39 - 769994*x^37 - 196922*x^35 + 665266*x^33 + 842764*x^31 + 131812*x^29 - 569670*x^27 - 479358*x^25 + 68762*x^23 + 294150*x^21 + 92604*x^19 - 86324*x^17 - 54576*x^15 + 14160*x^13 + 14126*x^11 - 2090*x^9 - 1674*x^7 + 314*x^5 + 23*x^3 - 3*x) - 4*x) + 32*2^(1/4)*(7*x^63 + 70*x^61 + 419*x^59 + 1706*x^57 + 4942*x^55 + 9908*x^53 + 11825*x^51 + 580*x^49 - 28977*x^47 - 58322*x^45 - 45399*x^43 + 29706*x^41 + 111540*x^39 + 100724*x^37 - 20967*x^35 - 131220*x^33 - 100923*x^31 + 30198*x^29 + 100465*x^27 + 45314*x^25 - 34938*x^23 - 41936*x^21 - 1689*x^19 + 16480*x^17 + 5389*x^15 - 3690*x^13 - 1861*x^11 + 586*x^9 + 288*x^7 - 104*x^5 + 7*x^3 - sqrt(2)*(5*x^63 + 50*x^61 + 298*x^59 + 1207*x^57 + 3407*x^55 + 6367*x^53 + 6040*x^51 - 4429*x^49 - 25315*x^47 - 38326*x^45 - 15109*x^43 + 43760*x^41 + 83353*x^39 + 43063*x^37 - 53901*x^35 - 101512*x^33 - 39859*x^31 + 55764*x^29 + 71846*x^27 + 8493*x^25 - 38913*x^23 - 24125*x^21 + 7816*x^19 + 12629*x^17 + 1009*x^15 - 3464*x^13 - 795*x^11 + 596*x^9 + 129*x^7 - 73*x^5 + 5*x^3)))*sqrt(2*sqrt(2) + 4) - sqrt(2)*(8*(96*x^63 + 960*x^61 + 5440*x^59 + 20640*x^57 + 49056*x^55 + 51360*x^53 - 86656*x^51 - 440800*x^49 - 748192*x^47 - 344896*x^45 + 1050528*x^43 + 2298624*x^41 + 1470048*x^39 - 1480800*x^37 - 3533152*x^35 - 1909504*x^33 + 1775712*x^31 + 3135616*x^29 + 903360*x^27 - 1581856*x^25 - 1461344*x^23 + 115232*x^21 + 733312*x^19 + 220384*x^17 - 187936*x^15 - 105984*x^13 + 26720*x^11 + 22144*x^9 - 3744*x^7 - 1120*x^5 + 96*x^3 + sqrt(2)*(2*x^67 + 22*x^65 + 118*x^63 + 388*x^61 + 242*x^59 - 4208*x^57 - 24094*x^55 - 72564*x^53 - 137454*x^51 - 143968*x^49 + 17718*x^47 + 348676*x^45 + 593306*x^43 + 379088*x^41 - 322846*x^39 - 921236*x^37 - 716514*x^35 + 200860*x^33 + 869330*x^31 + 583276*x^29 - 209930*x^27 - 538448*x^25 - 193674*x^23 + 190852*x^21 + 173798*x^19 - 18704*x^17 - 68382*x^15 - 6708*x^13 + 16990*x^11 + 2096*x^9 - 3418*x^7 + 580*x^5 + 8*x^3 - sqrt(2)*(x^67 + 11*x^65 + 63*x^63 + 234*x^61 + 817*x^59 + 2980*x^57 + 10977*x^55 + 33730*x^53 + 77885*x^51 + 120232*x^49 + 83383*x^47 - 117086*x^45 - 415651*x^43 - 508756*x^41 - 102871*x^39 + 599162*x^37 + 876907*x^35 + 288542*x^33 - 600475*x^31 - 787586*x^29 - 136717*x^27 + 458364*x^25 + 357051*x^23 - 66490*x^21 - 195937*x^19 - 40496*x^17 + 57109*x^15 + 21718*x^13 - 11153*x^11 - 4332*x^9 + 2219*x^7 - 226*x^5 + 8*x^3 - x) - 2*x) - 64*sqrt(2)*(x^63 + 10*x^61 + 58*x^59 + 227*x^57 + 647*x^55 + 1339*x^53 + 1888*x^51 + 1247*x^49 - 1539*x^47 - 5654*x^45 - 7517*x^43 - 3320*x^41 + 5833*x^39 + 12123*x^37 + 8079*x^35 - 3712*x^33 - 11255*x^31 - 6900*x^29 + 3078*x^27 + 6825*x^25 + 2263*x^23 - 2521*x^21 - 2152*x^19 + 321*x^17 + 873*x^15 + 40*x^13 - 227*x^11 - 12*x^9 + 49*x^7 - 13*x^5 + x^3))*sqrt(x^6 + x^4 + x^2 - 1) + (2^(3/4)*(2*x^72 + 24*x^70 + 136*x^68 + 460*x^66 + 346*x^64 - 5120*x^62 - 32464*x^60 - 110424*x^58 - 252208*x^56 - 389560*x^54 - 341144*x^52 + 79120*x^50 + 799728*x^48 + 1350768*x^46 + 1111936*x^44 - 74504*x^42 - 1522780*x^40 - 2032504*x^38 - 965272*x^36 + 913656*x^34 + 1874548*x^32 + 1026656*x^30 - 569936*x^28 - 1124264*x^26 - 356512*x^24 + 426616*x^22 + 348824*x^20 - 67920*x^18 - 144192*x^16 + 6448*x^14 + 39840*x^12 - 3832*x^10 - 9558*x^8 + 4384*x^6 - 624*x^4 - 4*x^2 - sqrt(2)*(x^72 + 12*x^70 + 70*x^68 + 252*x^66 + 797*x^64 + 2888*x^62 + 12884*x^60 + 51176*x^58 + 154948*x^56 + 333264*x^54 + 457924*x^52 + 205280*x^50 - 675088*x^48 - 1778088*x^46 - 1864860*x^44 + 4696*x^42 + 2766982*x^40 + 3558712*x^38 + 879248*x^36 - 2842552*x^34 - 3525414*x^32 - 580552*x^30 + 2245884*x^28 + 1903448*x^26 - 238828*x^24 - 1144976*x^22 - 379236*x^20 + 339296*x^18 + 231128*x^16 - 58328*x^14 - 66100*x^12 + 8808*x^10 + 11425*x^8 - 3332*x^6 + 202*x^4 - 4*x^2 + 1) + 2) + 32*2^(1/4)*(3*x^68 + 33*x^66 + 192*x^64 + 732*x^62 + 1667*x^60 + 999*x^58 - 7745*x^56 - 31675*x^54 - 60846*x^52 - 50794*x^50 + 47578*x^48 + 198202*x^46 + 236845*x^44 + 22241*x^42 - 317451*x^40 - 411513*x^38 - 79666*x^36 + 350286*x^34 + 387324*x^32 + 18696*x^30 - 277635*x^28 - 192343*x^26 + 56169*x^24 + 131091*x^22 + 30626*x^20 - 42978*x^18 - 24118*x^16 + 7618*x^14 + 7491*x^12 - 833*x^10 - 1325*x^8 + 241*x^6 + 27*x^4 - 3*x^2 - 2*sqrt(2)*(x^68 + 11*x^66 + 65*x^64 + 254*x^62 + 688*x^60 + 1229*x^58 + 1177*x^56 - 159*x^54 - 1409*x^52 + 1268*x^50 + 8391*x^48 + 9600*x^46 - 8210*x^44 - 35643*x^42 - 35291*x^40 + 12263*x^38 + 63145*x^36 + 50646*x^34 - 19181*x^32 - 62618*x^30 - 30972*x^28 + 23959*x^26 + 33055*x^24 + 3647*x^22 - 13803*x^20 - 6372*x^18 + 2797*x^16 + 2316*x^14 - 250*x^12 - 393*x^10 + 43*x^8 - 7*x^6 + 10*x^4 - x^2)))*sqrt(2*sqrt(2) + 4))*sqrt((8*x^8 + 8*x^6 + 8*x^4 - 2*2^(1/4)*(x^7 + x^5 + sqrt(2)*x^3 + x^3 - x)*sqrt(x^6 + x^4 + x^2 - 1)*sqrt(2*sqrt(2) + 4) - 8*x^2 + sqrt(2)*(x^12 + 2*x^10 + 5*x^8 + 2*x^6 + 3*x^4 - 4*x^2 + 1))/(x^12 + 2*x^10 + x^8 - 2*x^6 - x^4 + 1)) - 4*sqrt(2)*(x^72 + 12*x^70 + 70*x^68 + 252*x^66 + 289*x^64 - 2192*x^62 - 15608*x^60 - 55392*x^58 - 128904*x^56 - 195392*x^54 - 141296*x^52 + 145968*x^50 + 580196*x^48 + 769168*x^46 + 293368*x^44 - 697024*x^42 - 1316726*x^40 - 756072*x^38 + 603004*x^36 + 1358312*x^34 + 692582*x^32 - 542064*x^30 - 916232*x^28 - 242784*x^26 + 407920*x^24 + 337184*x^22 - 47200*x^20 - 157840*x^18 - 29164*x^16 + 44016*x^14 + 14280*x^12 - 8448*x^10 - 3635*x^8 + 2300*x^6 - 306*x^4 - 4*x^2 + 1) + 32*sqrt(2)*(4*x^68 + 44*x^66 + 270*x^64 + 1116*x^62 + 3296*x^60 + 6862*x^58 + 8948*x^56 + 2582*x^54 - 17690*x^52 - 42620*x^50 - 42854*x^48 + 6248*x^46 + 80340*x^44 + 102634*x^42 + 22328*x^40 - 99350*x^38 - 129878*x^36 - 25440*x^34 + 96146*x^32 + 97356*x^30 - 1816*x^28 - 66446*x^26 - 36828*x^24 + 16858*x^22 + 24794*x^20 + 2228*x^18 - 8218*x^16 - 2768*x^14 + 1700*x^12 + 822*x^10 - 272*x^8 - 122*x^6 + 50*x^4 - 4*x^2 - sqrt(2)*(3*x^68 + 33*x^66 + 199*x^64 + 802*x^62 + 2049*x^60 + 2372*x^58 - 4629*x^56 - 28494*x^54 - 65691*x^52 - 75144*x^50 + 8627*x^48 + 186586*x^46 + 305253*x^44 + 151484*x^42 - 254305*x^40 - 526582*x^38 - 293969*x^36 + 265274*x^34 + 530181*x^32 + 214406*x^30 - 247757*x^28 - 311140*x^26 - 30847*x^24 + 151478*x^22 + 79831*x^20 - 33520*x^18 - 37775*x^16 + 2014*x^14 + 9623*x^12 + 260*x^10 - 1531*x^8 + 174*x^6 + 34*x^4 - 3*x^2)) + 4)/(x^72 + 12*x^70 + 66*x^68 + 208*x^66 - 1231*x^64 - 15808*x^62 - 92240*x^60 - 353528*x^58 - 932160*x^56 - 1578120*x^54 - 1110816*x^52 + 2069088*x^50 + 7253380*x^48 + 8954960*x^46 + 771888*x^44 - 14239944*x^42 - 20370430*x^40 - 5559520*x^38 + 18409812*x^36 + 24321040*x^34 + 4205494*x^32 - 17469984*x^30 - 15945008*x^28 + 1564600*x^26 + 10561384*x^24 + 4478760*x^22 - 3021680*x^20 - 2938176*x^18 + 184980*x^16 + 919568*x^14 + 106256*x^12 - 172664*x^10 - 20075*x^8 + 19508*x^6 - 1606*x^4 + 1)) + 1/8*2^(3/4)*sqrt(2*sqrt(2) + 4)*arctan(-1/4*(4*x^72 + 48*x^70 + 296*x^68 + 1184*x^66 + 4100*x^64 + 14336*x^62 + 48576*x^60 + 136416*x^58 + 243584*x^56 + 55200*x^54 - 1076416*x^52 - 3184640*x^50 - 3948592*x^48 + 641728*x^46 + 10292800*x^44 + 15128864*x^42 + 3787784*x^40 - 17971776*x^38 - 25671216*x^36 - 5595392*x^34 + 21212056*x^32 + 22744448*x^30 - 89792*x^28 - 16094688*x^26 - 9256416*x^24 + 4023008*x^22 + 6035840*x^20 + 544896*x^18 - 1868656*x^16 - 554560*x^14 + 332224*x^12 + 116192*x^10 - 36524*x^8 - 5232*x^6 + 840*x^4 - 32*x^2 - 4*sqrt(x^6 + x^4 + x^2 - 1)*(2^(3/4)*(4*x^67 + 44*x^65 + 254*x^63 + 956*x^61 + 2382*x^59 + 3356*x^57 + 350*x^55 - 7792*x^53 - 5766*x^51 + 40296*x^49 + 137174*x^47 + 186756*x^45 + 20238*x^43 - 366284*x^41 - 611162*x^39 - 279864*x^37 + 486370*x^35 + 879240*x^33 + 368218*x^31 - 485916*x^29 - 681958*x^27 - 123804*x^25 + 351834*x^23 + 245984*x^21 - 61090*x^19 - 118680*x^17 - 9422*x^15 + 30876*x^13 + 4842*x^11 - 5236*x^9 + 194*x^7 + 72*x^5 + 34*x^3 - sqrt(2)*(3*x^67 + 33*x^65 + 188*x^63 + 692*x^61 + 1414*x^59 - 98*x^57 - 11242*x^55 - 39830*x^53 - 72700*x^51 - 52668*x^49 + 87784*x^47 + 304536*x^45 + 361362*x^43 + 19402*x^41 - 562182*x^39 - 769994*x^37 - 196922*x^35 + 665266*x^33 + 842764*x^31 + 131812*x^29 - 569670*x^27 - 479358*x^25 + 68762*x^23 + 294150*x^21 + 92604*x^19 - 86324*x^17 - 54576*x^15 + 14160*x^13 + 14126*x^11 - 2090*x^9 - 1674*x^7 + 314*x^5 + 23*x^3 - 3*x) - 4*x) + 32*2^(1/4)*(7*x^63 + 70*x^61 + 419*x^59 + 1706*x^57 + 4942*x^55 + 9908*x^53 + 11825*x^51 + 580*x^49 - 28977*x^47 - 58322*x^45 - 45399*x^43 + 29706*x^41 + 111540*x^39 + 100724*x^37 - 20967*x^35 - 131220*x^33 - 100923*x^31 + 30198*x^29 + 100465*x^27 + 45314*x^25 - 34938*x^23 - 41936*x^21 - 1689*x^19 + 16480*x^17 + 5389*x^15 - 3690*x^13 - 1861*x^11 + 586*x^9 + 288*x^7 - 104*x^5 + 7*x^3 - sqrt(2)*(5*x^63 + 50*x^61 + 298*x^59 + 1207*x^57 + 3407*x^55 + 6367*x^53 + 6040*x^51 - 4429*x^49 - 25315*x^47 - 38326*x^45 - 15109*x^43 + 43760*x^41 + 83353*x^39 + 43063*x^37 - 53901*x^35 - 101512*x^33 - 39859*x^31 + 55764*x^29 + 71846*x^27 + 8493*x^25 - 38913*x^23 - 24125*x^21 + 7816*x^19 + 12629*x^17 + 1009*x^15 - 3464*x^13 - 795*x^11 + 596*x^9 + 129*x^7 - 73*x^5 + 5*x^3)))*sqrt(2*sqrt(2) + 4) - sqrt(2)*(8*(96*x^63 + 960*x^61 + 5440*x^59 + 20640*x^57 + 49056*x^55 + 51360*x^53 - 86656*x^51 - 440800*x^49 - 748192*x^47 - 344896*x^45 + 1050528*x^43 + 2298624*x^41 + 1470048*x^39 - 1480800*x^37 - 3533152*x^35 - 1909504*x^33 + 1775712*x^31 + 3135616*x^29 + 903360*x^27 - 1581856*x^25 - 1461344*x^23 + 115232*x^21 + 733312*x^19 + 220384*x^17 - 187936*x^15 - 105984*x^13 + 26720*x^11 + 22144*x^9 - 3744*x^7 - 1120*x^5 + 96*x^3 + sqrt(2)*(2*x^67 + 22*x^65 + 118*x^63 + 388*x^61 + 242*x^59 - 4208*x^57 - 24094*x^55 - 72564*x^53 - 137454*x^51 - 143968*x^49 + 17718*x^47 + 348676*x^45 + 593306*x^43 + 379088*x^41 - 322846*x^39 - 921236*x^37 - 716514*x^35 + 200860*x^33 + 869330*x^31 + 583276*x^29 - 209930*x^27 - 538448*x^25 - 193674*x^23 + 190852*x^21 + 173798*x^19 - 18704*x^17 - 68382*x^15 - 6708*x^13 + 16990*x^11 + 2096*x^9 - 3418*x^7 + 580*x^5 + 8*x^3 - sqrt(2)*(x^67 + 11*x^65 + 63*x^63 + 234*x^61 + 817*x^59 + 2980*x^57 + 10977*x^55 + 33730*x^53 + 77885*x^51 + 120232*x^49 + 83383*x^47 - 117086*x^45 - 415651*x^43 - 508756*x^41 - 102871*x^39 + 599162*x^37 + 876907*x^35 + 288542*x^33 - 600475*x^31 - 787586*x^29 - 136717*x^27 + 458364*x^25 + 357051*x^23 - 66490*x^21 - 195937*x^19 - 40496*x^17 + 57109*x^15 + 21718*x^13 - 11153*x^11 - 4332*x^9 + 2219*x^7 - 226*x^5 + 8*x^3 - x) - 2*x) - 64*sqrt(2)*(x^63 + 10*x^61 + 58*x^59 + 227*x^57 + 647*x^55 + 1339*x^53 + 1888*x^51 + 1247*x^49 - 1539*x^47 - 5654*x^45 - 7517*x^43 - 3320*x^41 + 5833*x^39 + 12123*x^37 + 8079*x^35 - 3712*x^33 - 11255*x^31 - 6900*x^29 + 3078*x^27 + 6825*x^25 + 2263*x^23 - 2521*x^21 - 2152*x^19 + 321*x^17 + 873*x^15 + 40*x^13 - 227*x^11 - 12*x^9 + 49*x^7 - 13*x^5 + x^3))*sqrt(x^6 + x^4 + x^2 - 1) - (2^(3/4)*(2*x^72 + 24*x^70 + 136*x^68 + 460*x^66 + 346*x^64 - 5120*x^62 - 32464*x^60 - 110424*x^58 - 252208*x^56 - 389560*x^54 - 341144*x^52 + 79120*x^50 + 799728*x^48 + 1350768*x^46 + 1111936*x^44 - 74504*x^42 - 1522780*x^40 - 2032504*x^38 - 965272*x^36 + 913656*x^34 + 1874548*x^32 + 1026656*x^30 - 569936*x^28 - 1124264*x^26 - 356512*x^24 + 426616*x^22 + 348824*x^20 - 67920*x^18 - 144192*x^16 + 6448*x^14 + 39840*x^12 - 3832*x^10 - 9558*x^8 + 4384*x^6 - 624*x^4 - 4*x^2 - sqrt(2)*(x^72 + 12*x^70 + 70*x^68 + 252*x^66 + 797*x^64 + 2888*x^62 + 12884*x^60 + 51176*x^58 + 154948*x^56 + 333264*x^54 + 457924*x^52 + 205280*x^50 - 675088*x^48 - 1778088*x^46 - 1864860*x^44 + 4696*x^42 + 2766982*x^40 + 3558712*x^38 + 879248*x^36 - 2842552*x^34 - 3525414*x^32 - 580552*x^30 + 2245884*x^28 + 1903448*x^26 - 238828*x^24 - 1144976*x^22 - 379236*x^20 + 339296*x^18 + 231128*x^16 - 58328*x^14 - 66100*x^12 + 8808*x^10 + 11425*x^8 - 3332*x^6 + 202*x^4 - 4*x^2 + 1) + 2) + 32*2^(1/4)*(3*x^68 + 33*x^66 + 192*x^64 + 732*x^62 + 1667*x^60 + 999*x^58 - 7745*x^56 - 31675*x^54 - 60846*x^52 - 50794*x^50 + 47578*x^48 + 198202*x^46 + 236845*x^44 + 22241*x^42 - 317451*x^40 - 411513*x^38 - 79666*x^36 + 350286*x^34 + 387324*x^32 + 18696*x^30 - 277635*x^28 - 192343*x^26 + 56169*x^24 + 131091*x^22 + 30626*x^20 - 42978*x^18 - 24118*x^16 + 7618*x^14 + 7491*x^12 - 833*x^10 - 1325*x^8 + 241*x^6 + 27*x^4 - 3*x^2 - 2*sqrt(2)*(x^68 + 11*x^66 + 65*x^64 + 254*x^62 + 688*x^60 + 1229*x^58 + 1177*x^56 - 159*x^54 - 1409*x^52 + 1268*x^50 + 8391*x^48 + 9600*x^46 - 8210*x^44 - 35643*x^42 - 35291*x^40 + 12263*x^38 + 63145*x^36 + 50646*x^34 - 19181*x^32 - 62618*x^30 - 30972*x^28 + 23959*x^26 + 33055*x^24 + 3647*x^22 - 13803*x^20 - 6372*x^18 + 2797*x^16 + 2316*x^14 - 250*x^12 - 393*x^10 + 43*x^8 - 7*x^6 + 10*x^4 - x^2)))*sqrt(2*sqrt(2) + 4))*sqrt((8*x^8 + 8*x^6 + 8*x^4 + 2*2^(1/4)*(x^7 + x^5 + sqrt(2)*x^3 + x^3 - x)*sqrt(x^6 + x^4 + x^2 - 1)*sqrt(2*sqrt(2) + 4) - 8*x^2 + sqrt(2)*(x^12 + 2*x^10 + 5*x^8 + 2*x^6 + 3*x^4 - 4*x^2 + 1))/(x^12 + 2*x^10 + x^8 - 2*x^6 - x^4 + 1)) - 4*sqrt(2)*(x^72 + 12*x^70 + 70*x^68 + 252*x^66 + 289*x^64 - 2192*x^62 - 15608*x^60 - 55392*x^58 - 128904*x^56 - 195392*x^54 - 141296*x^52 + 145968*x^50 + 580196*x^48 + 769168*x^46 + 293368*x^44 - 697024*x^42 - 1316726*x^40 - 756072*x^38 + 603004*x^36 + 1358312*x^34 + 692582*x^32 - 542064*x^30 - 916232*x^28 - 242784*x^26 + 407920*x^24 + 337184*x^22 - 47200*x^20 - 157840*x^18 - 29164*x^16 + 44016*x^14 + 14280*x^12 - 8448*x^10 - 3635*x^8 + 2300*x^6 - 306*x^4 - 4*x^2 + 1) + 32*sqrt(2)*(4*x^68 + 44*x^66 + 270*x^64 + 1116*x^62 + 3296*x^60 + 6862*x^58 + 8948*x^56 + 2582*x^54 - 17690*x^52 - 42620*x^50 - 42854*x^48 + 6248*x^46 + 80340*x^44 + 102634*x^42 + 22328*x^40 - 99350*x^38 - 129878*x^36 - 25440*x^34 + 96146*x^32 + 97356*x^30 - 1816*x^28 - 66446*x^26 - 36828*x^24 + 16858*x^22 + 24794*x^20 + 2228*x^18 - 8218*x^16 - 2768*x^14 + 1700*x^12 + 822*x^10 - 272*x^8 - 122*x^6 + 50*x^4 - 4*x^2 - sqrt(2)*(3*x^68 + 33*x^66 + 199*x^64 + 802*x^62 + 2049*x^60 + 2372*x^58 - 4629*x^56 - 28494*x^54 - 65691*x^52 - 75144*x^50 + 8627*x^48 + 186586*x^46 + 305253*x^44 + 151484*x^42 - 254305*x^40 - 526582*x^38 - 293969*x^36 + 265274*x^34 + 530181*x^32 + 214406*x^30 - 247757*x^28 - 311140*x^26 - 30847*x^24 + 151478*x^22 + 79831*x^20 - 33520*x^18 - 37775*x^16 + 2014*x^14 + 9623*x^12 + 260*x^10 - 1531*x^8 + 174*x^6 + 34*x^4 - 3*x^2)) + 4)/(x^72 + 12*x^70 + 66*x^68 + 208*x^66 - 1231*x^64 - 15808*x^62 - 92240*x^60 - 353528*x^58 - 932160*x^56 - 1578120*x^54 - 1110816*x^52 + 2069088*x^50 + 7253380*x^48 + 8954960*x^46 + 771888*x^44 - 14239944*x^42 - 20370430*x^40 - 5559520*x^38 + 18409812*x^36 + 24321040*x^34 + 4205494*x^32 - 17469984*x^30 - 15945008*x^28 + 1564600*x^26 + 10561384*x^24 + 4478760*x^22 - 3021680*x^20 - 2938176*x^18 + 184980*x^16 + 919568*x^14 + 106256*x^12 - 172664*x^10 - 20075*x^8 + 19508*x^6 - 1606*x^4 + 1))","B",0
966,1,37,0,0.459054," ","integrate((x^2-x*(x^2-x)^(1/2))^(1/2)/x^3,x, algorithm=""fricas"")","\frac{4 \, \sqrt{x^{2} - \sqrt{x^{2} - x} x} {\left(x - \sqrt{x^{2} - x} - 3\right)}}{15 \, x^{2}}"," ",0,"4/15*sqrt(x^2 - sqrt(x^2 - x)*x)*(x - sqrt(x^2 - x) - 3)/x^2","A",0
967,1,56,0,0.457688," ","integrate(1/x/(x^2+1)^(2/3),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{2} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) - \frac{1}{4} \, \log\left({\left(x^{2} + 1\right)}^{\frac{2}{3}} + {\left(x^{2} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{2} \, \log\left({\left(x^{2} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"-1/2*sqrt(3)*arctan(2/3*sqrt(3)*(x^2 + 1)^(1/3) + 1/3*sqrt(3)) - 1/4*log((x^2 + 1)^(2/3) + (x^2 + 1)^(1/3) + 1) + 1/2*log((x^2 + 1)^(1/3) - 1)","A",0
968,1,56,0,0.454981," ","integrate(1/x/(x^2+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{2} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) - \frac{1}{4} \, \log\left({\left(x^{2} + 1\right)}^{\frac{2}{3}} + {\left(x^{2} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{2} \, \log\left({\left(x^{2} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"1/2*sqrt(3)*arctan(2/3*sqrt(3)*(x^2 + 1)^(1/3) + 1/3*sqrt(3)) - 1/4*log((x^2 + 1)^(2/3) + (x^2 + 1)^(1/3) + 1) + 1/2*log((x^2 + 1)^(1/3) - 1)","A",0
969,1,1437,0,0.639429," ","integrate(1/(x^3-1)/(x^3-x^2)^(1/3),x, algorithm=""fricas"")","\frac{2 \cdot 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \log\left(\frac{12 \, {\left(4 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 12 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} + 6 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - 8 \cdot 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{2} - x\right)} \arctan\left(\frac{12 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} - 6 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} - \sqrt{3} {\left(2 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} - 6 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} x\right)} \sqrt{\frac{4 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 12 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} + 6 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 36 \, {\left(48 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{3} - {\left(12^{\frac{2}{3}} 6^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + 24 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 108 \, \sqrt{3} x}{108 \, {\left(16 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{4} - 16 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} + x\right)}}\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 4 \, {\left(12^{\frac{1}{6}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) + 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{2} - x\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)\right)} \arctan\left(-\frac{12 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} - 6 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} - \sqrt{3} {\left(2 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} + 6 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} x\right)} \sqrt{\frac{4 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) + 12 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} - 6 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 36 \, {\left(48 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{3} + {\left(12^{\frac{2}{3}} 6^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} - 24 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) + 108 \, \sqrt{3} x}{108 \, {\left(16 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{4} - 16 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} + x\right)}}\right) - 4 \, {\left(12^{\frac{1}{6}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{2} - x\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)\right)} \arctan\left(\frac{144 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x \sqrt{-\frac{8 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} - 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{72 \, {\left(2 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} - x\right)}}\right) - {\left(12^{\frac{1}{6}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{2} - x\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) + 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)\right)} \log\left(-\frac{48 \, {\left(8 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} - 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + {\left(12^{\frac{1}{6}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{2} - x\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)\right)} \log\left(\frac{48 \, {\left(4 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) + 12 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} - 6 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - 36 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{36 \, {\left(x^{2} - x\right)}}"," ",0,"1/36*(2*12^(1/6)*6^(2/3)*(x^2 - x)*cos(2/3*arctan(sqrt(3) - 2))*log(12*(4*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) - 12*12^(1/3)*6^(1/3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))^2 + 12^(2/3)*6^(2/3)*x^2 + 6*12^(1/3)*6^(1/3)*(x^3 - x^2)^(1/3)*x + 12*(x^3 - x^2)^(2/3))/x^2) - 8*12^(1/6)*6^(2/3)*(x^2 - x)*arctan(1/108*(12*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 - x^2)^(1/3)*cos(2/3*arctan(sqrt(3) - 2))^2 - 6*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 - x^2)^(1/3) - sqrt(3)*(2*12^(2/3)*6^(2/3)*sqrt(3)*x*cos(2/3*arctan(sqrt(3) - 2))^2 - 6*12^(2/3)*6^(2/3)*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) - 12^(2/3)*6^(2/3)*sqrt(3)*x)*sqrt((4*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) - 12*12^(1/3)*6^(1/3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))^2 + 12^(2/3)*6^(2/3)*x^2 + 6*12^(1/3)*6^(1/3)*(x^3 - x^2)^(1/3)*x + 12*(x^3 - x^2)^(2/3))/x^2) + 36*(48*x*cos(2/3*arctan(sqrt(3) - 2))^3 - (12^(2/3)*6^(2/3)*(x^3 - x^2)^(1/3) + 24*x)*cos(2/3*arctan(sqrt(3) - 2)))*sin(2/3*arctan(sqrt(3) - 2)) - 108*sqrt(3)*x)/(16*x*cos(2/3*arctan(sqrt(3) - 2))^4 - 16*x*cos(2/3*arctan(sqrt(3) - 2))^2 + x))*sin(2/3*arctan(sqrt(3) - 2)) - 4*(12^(1/6)*6^(2/3)*sqrt(3)*(x^2 - x)*cos(2/3*arctan(sqrt(3) - 2)) + 12^(1/6)*6^(2/3)*(x^2 - x)*sin(2/3*arctan(sqrt(3) - 2)))*arctan(-1/108*(12*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 - x^2)^(1/3)*cos(2/3*arctan(sqrt(3) - 2))^2 - 6*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 - x^2)^(1/3) - sqrt(3)*(2*12^(2/3)*6^(2/3)*sqrt(3)*x*cos(2/3*arctan(sqrt(3) - 2))^2 + 6*12^(2/3)*6^(2/3)*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) - 12^(2/3)*6^(2/3)*sqrt(3)*x)*sqrt((4*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) + 12*12^(1/3)*6^(1/3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))^2 + 12^(2/3)*6^(2/3)*x^2 - 6*12^(1/3)*6^(1/3)*(x^3 - x^2)^(1/3)*x + 12*(x^3 - x^2)^(2/3))/x^2) + 36*(48*x*cos(2/3*arctan(sqrt(3) - 2))^3 + (12^(2/3)*6^(2/3)*(x^3 - x^2)^(1/3) - 24*x)*cos(2/3*arctan(sqrt(3) - 2)))*sin(2/3*arctan(sqrt(3) - 2)) + 108*sqrt(3)*x)/(16*x*cos(2/3*arctan(sqrt(3) - 2))^4 - 16*x*cos(2/3*arctan(sqrt(3) - 2))^2 + x)) - 4*(12^(1/6)*6^(2/3)*sqrt(3)*(x^2 - x)*cos(2/3*arctan(sqrt(3) - 2)) - 12^(1/6)*6^(2/3)*(x^2 - x)*sin(2/3*arctan(sqrt(3) - 2)))*arctan(1/72*(144*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) + 12^(2/3)*6^(2/3)*x*sqrt(-(8*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) - 12^(2/3)*6^(2/3)*x^2 - 12*(x^3 - x^2)^(2/3))/x^2) - 2*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 - x^2)^(1/3))/(2*x*cos(2/3*arctan(sqrt(3) - 2))^2 - x)) - (12^(1/6)*6^(2/3)*sqrt(3)*(x^2 - x)*sin(2/3*arctan(sqrt(3) - 2)) + 12^(1/6)*6^(2/3)*(x^2 - x)*cos(2/3*arctan(sqrt(3) - 2)))*log(-48*(8*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) - 12^(2/3)*6^(2/3)*x^2 - 12*(x^3 - x^2)^(2/3))/x^2) + (12^(1/6)*6^(2/3)*sqrt(3)*(x^2 - x)*sin(2/3*arctan(sqrt(3) - 2)) - 12^(1/6)*6^(2/3)*(x^2 - x)*cos(2/3*arctan(sqrt(3) - 2)))*log(48*(4*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) + 12*12^(1/3)*6^(1/3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))^2 + 12^(2/3)*6^(2/3)*x^2 - 6*12^(1/3)*6^(1/3)*(x^3 - x^2)^(1/3)*x + 12*(x^3 - x^2)^(2/3))/x^2) - 36*(x^3 - x^2)^(2/3))/(x^2 - x)","B",0
970,1,1437,0,0.633987," ","integrate(1/(x^3-1)/(x^3-x^2)^(1/3),x, algorithm=""fricas"")","\frac{2 \cdot 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \log\left(\frac{12 \, {\left(4 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 12 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} + 6 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - 8 \cdot 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{2} - x\right)} \arctan\left(\frac{12 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} - 6 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} - \sqrt{3} {\left(2 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} - 6 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} x\right)} \sqrt{\frac{4 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 12 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} + 6 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 36 \, {\left(48 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{3} - {\left(12^{\frac{2}{3}} 6^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + 24 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 108 \, \sqrt{3} x}{108 \, {\left(16 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{4} - 16 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} + x\right)}}\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 4 \, {\left(12^{\frac{1}{6}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) + 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{2} - x\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)\right)} \arctan\left(-\frac{12 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} - 6 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} - \sqrt{3} {\left(2 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} + 6 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} x\right)} \sqrt{\frac{4 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) + 12 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} - 6 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 36 \, {\left(48 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{3} + {\left(12^{\frac{2}{3}} 6^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} - 24 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) + 108 \, \sqrt{3} x}{108 \, {\left(16 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{4} - 16 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} + x\right)}}\right) - 4 \, {\left(12^{\frac{1}{6}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{2} - x\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)\right)} \arctan\left(\frac{144 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x \sqrt{-\frac{8 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} - 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{72 \, {\left(2 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} - x\right)}}\right) - {\left(12^{\frac{1}{6}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{2} - x\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) + 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)\right)} \log\left(-\frac{48 \, {\left(8 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} - 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + {\left(12^{\frac{1}{6}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{2} - x\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)\right)} \log\left(\frac{48 \, {\left(4 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) + 12 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} - 6 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - 36 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{36 \, {\left(x^{2} - x\right)}}"," ",0,"1/36*(2*12^(1/6)*6^(2/3)*(x^2 - x)*cos(2/3*arctan(sqrt(3) - 2))*log(12*(4*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) - 12*12^(1/3)*6^(1/3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))^2 + 12^(2/3)*6^(2/3)*x^2 + 6*12^(1/3)*6^(1/3)*(x^3 - x^2)^(1/3)*x + 12*(x^3 - x^2)^(2/3))/x^2) - 8*12^(1/6)*6^(2/3)*(x^2 - x)*arctan(1/108*(12*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 - x^2)^(1/3)*cos(2/3*arctan(sqrt(3) - 2))^2 - 6*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 - x^2)^(1/3) - sqrt(3)*(2*12^(2/3)*6^(2/3)*sqrt(3)*x*cos(2/3*arctan(sqrt(3) - 2))^2 - 6*12^(2/3)*6^(2/3)*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) - 12^(2/3)*6^(2/3)*sqrt(3)*x)*sqrt((4*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) - 12*12^(1/3)*6^(1/3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))^2 + 12^(2/3)*6^(2/3)*x^2 + 6*12^(1/3)*6^(1/3)*(x^3 - x^2)^(1/3)*x + 12*(x^3 - x^2)^(2/3))/x^2) + 36*(48*x*cos(2/3*arctan(sqrt(3) - 2))^3 - (12^(2/3)*6^(2/3)*(x^3 - x^2)^(1/3) + 24*x)*cos(2/3*arctan(sqrt(3) - 2)))*sin(2/3*arctan(sqrt(3) - 2)) - 108*sqrt(3)*x)/(16*x*cos(2/3*arctan(sqrt(3) - 2))^4 - 16*x*cos(2/3*arctan(sqrt(3) - 2))^2 + x))*sin(2/3*arctan(sqrt(3) - 2)) - 4*(12^(1/6)*6^(2/3)*sqrt(3)*(x^2 - x)*cos(2/3*arctan(sqrt(3) - 2)) + 12^(1/6)*6^(2/3)*(x^2 - x)*sin(2/3*arctan(sqrt(3) - 2)))*arctan(-1/108*(12*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 - x^2)^(1/3)*cos(2/3*arctan(sqrt(3) - 2))^2 - 6*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 - x^2)^(1/3) - sqrt(3)*(2*12^(2/3)*6^(2/3)*sqrt(3)*x*cos(2/3*arctan(sqrt(3) - 2))^2 + 6*12^(2/3)*6^(2/3)*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) - 12^(2/3)*6^(2/3)*sqrt(3)*x)*sqrt((4*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) + 12*12^(1/3)*6^(1/3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))^2 + 12^(2/3)*6^(2/3)*x^2 - 6*12^(1/3)*6^(1/3)*(x^3 - x^2)^(1/3)*x + 12*(x^3 - x^2)^(2/3))/x^2) + 36*(48*x*cos(2/3*arctan(sqrt(3) - 2))^3 + (12^(2/3)*6^(2/3)*(x^3 - x^2)^(1/3) - 24*x)*cos(2/3*arctan(sqrt(3) - 2)))*sin(2/3*arctan(sqrt(3) - 2)) + 108*sqrt(3)*x)/(16*x*cos(2/3*arctan(sqrt(3) - 2))^4 - 16*x*cos(2/3*arctan(sqrt(3) - 2))^2 + x)) - 4*(12^(1/6)*6^(2/3)*sqrt(3)*(x^2 - x)*cos(2/3*arctan(sqrt(3) - 2)) - 12^(1/6)*6^(2/3)*(x^2 - x)*sin(2/3*arctan(sqrt(3) - 2)))*arctan(1/72*(144*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) + 12^(2/3)*6^(2/3)*x*sqrt(-(8*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) - 12^(2/3)*6^(2/3)*x^2 - 12*(x^3 - x^2)^(2/3))/x^2) - 2*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 - x^2)^(1/3))/(2*x*cos(2/3*arctan(sqrt(3) - 2))^2 - x)) - (12^(1/6)*6^(2/3)*sqrt(3)*(x^2 - x)*sin(2/3*arctan(sqrt(3) - 2)) + 12^(1/6)*6^(2/3)*(x^2 - x)*cos(2/3*arctan(sqrt(3) - 2)))*log(-48*(8*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) - 12^(2/3)*6^(2/3)*x^2 - 12*(x^3 - x^2)^(2/3))/x^2) + (12^(1/6)*6^(2/3)*sqrt(3)*(x^2 - x)*sin(2/3*arctan(sqrt(3) - 2)) - 12^(1/6)*6^(2/3)*(x^2 - x)*cos(2/3*arctan(sqrt(3) - 2)))*log(48*(4*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) + 12*12^(1/3)*6^(1/3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))^2 + 12^(2/3)*6^(2/3)*x^2 - 6*12^(1/3)*6^(1/3)*(x^3 - x^2)^(1/3)*x + 12*(x^3 - x^2)^(2/3))/x^2) - 36*(x^3 - x^2)^(2/3))/(x^2 - x)","B",0
971,1,141,0,0.554776," ","integrate((x^3-1)^(1/2)*(x^3+2)*(x^3-x^2-1)^2/x^6/(2*x^3-3*x^2-2),x, algorithm=""fricas"")","\frac{15 \, \sqrt{3} \sqrt{2} x^{5} \log\left(-\frac{4 \, x^{6} + 36 \, x^{5} + 9 \, x^{4} - 8 \, x^{3} - 4 \, \sqrt{3} \sqrt{2} {\left(2 \, x^{4} + 3 \, x^{3} - 2 \, x\right)} \sqrt{x^{3} - 1} - 36 \, x^{2} + 4}{4 \, x^{6} - 12 \, x^{5} + 9 \, x^{4} - 8 \, x^{3} + 12 \, x^{2} + 4}\right) + 8 \, {\left(12 \, x^{6} - 10 \, x^{5} + 15 \, x^{4} - 24 \, x^{3} + 10 \, x^{2} + 12\right)} \sqrt{x^{3} - 1}}{480 \, x^{5}}"," ",0,"1/480*(15*sqrt(3)*sqrt(2)*x^5*log(-(4*x^6 + 36*x^5 + 9*x^4 - 8*x^3 - 4*sqrt(3)*sqrt(2)*(2*x^4 + 3*x^3 - 2*x)*sqrt(x^3 - 1) - 36*x^2 + 4)/(4*x^6 - 12*x^5 + 9*x^4 - 8*x^3 + 12*x^2 + 4)) + 8*(12*x^6 - 10*x^5 + 15*x^4 - 24*x^3 + 10*x^2 + 12)*sqrt(x^3 - 1))/x^5","B",0
972,1,4881,0,1.340732," ","integrate((x^3-3*x^2+3*x-1)^(1/4)/(3*x^3+x^2-2*x-1),x, algorithm=""fricas"")","-\frac{2}{31} \, \sqrt{31} \sqrt{2} {\left(2 \, \sqrt{31} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} - 2 \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{1235586 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 4284\right)}^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{44939806} \sqrt{\frac{1}{31}} {\left(1762583 \, \sqrt{31} {\left(x - 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} + 5662109214 \, \sqrt{31} {\left(x - 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} + 31 \, {\left(1762583 \, {\left(x - 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} + 1069965 \, x - 1069965\right)} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} - 39205917 \, \sqrt{31} {\left(x - 1\right)}\right)} \sqrt{2 \, \sqrt{31} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} - 2 \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{1235586 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 4284} \sqrt{-\frac{{\left(44691 \, {\left(x^{2} - 2 \, x + 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} + 54771730 \, x^{2} + 143589951 \, {\left(x^{2} - 2 \, x + 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} + 3 \, {\left(14897 \, \sqrt{31} {\left(x^{2} - 2 \, x + 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} + 744 \, \sqrt{31} {\left(x^{2} - 2 \, x + 1\right)}\right)} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} - 109543460 \, x + 54771730\right)} \sqrt{2 \, \sqrt{31} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} - 2 \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{1235586 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 4284} - 5572535944 \, \sqrt{x^{3} - 3 \, x^{2} + 3 \, x - 1}}{x^{2} - 2 \, x + 1}} - 89879612 \, {\left(1762583 \, \sqrt{31} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} + 5662109214 \, \sqrt{31} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} + 31 \, \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} {\left(1762583 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} + 1069965 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}\right)} - 39205917 \, \sqrt{31} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}\right)} \sqrt{2 \, \sqrt{31} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} - 2 \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{1235586 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 4284}\right)} {\left(2 \, \sqrt{31} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} - 2 \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{1235586 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 4284\right)}^{\frac{1}{4}}}{186318941083031826816 \, {\left(x - 1\right)}}\right) + \frac{2}{31} \, \sqrt{31} \sqrt{2} {\left(-2 \, \sqrt{31} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} - 2 \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{1235586 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 4284\right)}^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{44939806} \sqrt{2} \sqrt{\frac{1}{31}} {\left(1762583 \, \sqrt{31} {\left(x - 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} + 5662109214 \, \sqrt{31} {\left(x - 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} - 31 \, {\left(1762583 \, {\left(x - 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} + 1069965 \, x - 1069965\right)} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} - 39205917 \, \sqrt{31} {\left(x - 1\right)}\right)} {\left(-2 \, \sqrt{31} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} - 2 \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{1235586 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 4284\right)}^{\frac{3}{4}} \sqrt{-\frac{{\left(44691 \, {\left(x^{2} - 2 \, x + 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} + 54771730 \, x^{2} + 143589951 \, {\left(x^{2} - 2 \, x + 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} - 3 \, {\left(14897 \, \sqrt{31} {\left(x^{2} - 2 \, x + 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} + 744 \, \sqrt{31} {\left(x^{2} - 2 \, x + 1\right)}\right)} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} - 109543460 \, x + 54771730\right)} \sqrt{-2 \, \sqrt{31} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} - 2 \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{1235586 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 4284} - 5572535944 \, \sqrt{x^{3} - 3 \, x^{2} + 3 \, x - 1}}{x^{2} - 2 \, x + 1}} - 89879612 \, \sqrt{2} {\left(1762583 \, \sqrt{31} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} + 5662109214 \, \sqrt{31} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} - 31 \, \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} {\left(1762583 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} + 1069965 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}\right)} - 39205917 \, \sqrt{31} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}\right)} {\left(-2 \, \sqrt{31} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} - 2 \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{1235586 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 4284\right)}^{\frac{3}{4}}}{186318941083031826816 \, {\left(x - 1\right)}}\right) - \frac{1}{62} \, \sqrt{31} \sqrt{2} {\left(2 \, \sqrt{31} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} - 2 \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{1235586 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 4284\right)}^{\frac{1}{4}} \log\left(\frac{\sqrt{2} {\left(1527 \, \sqrt{31} {\left(x - 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} + 5272704 \, \sqrt{31} {\left(x - 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} + 93 \, {\left(509 \, {\left(x - 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} - 122151 \, x + 122151\right)} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} + 1076537 \, \sqrt{31} {\left(x - 1\right)}\right)} {\left(2 \, \sqrt{31} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} - 2 \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{1235586 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 4284\right)}^{\frac{1}{4}} + 11145071888 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}}{31 \, {\left(x - 1\right)}}\right) + \frac{1}{62} \, \sqrt{31} \sqrt{2} {\left(2 \, \sqrt{31} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} - 2 \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{1235586 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 4284\right)}^{\frac{1}{4}} \log\left(-\frac{\sqrt{2} {\left(1527 \, \sqrt{31} {\left(x - 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} + 5272704 \, \sqrt{31} {\left(x - 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} + 93 \, {\left(509 \, {\left(x - 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} - 122151 \, x + 122151\right)} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} + 1076537 \, \sqrt{31} {\left(x - 1\right)}\right)} {\left(2 \, \sqrt{31} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} - 2 \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{1235586 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 4284\right)}^{\frac{1}{4}} - 11145071888 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}}{31 \, {\left(x - 1\right)}}\right) - \frac{1}{62} \, \sqrt{31} \sqrt{2} {\left(-2 \, \sqrt{31} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} - 2 \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{1235586 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 4284\right)}^{\frac{1}{4}} \log\left(\frac{\sqrt{2} {\left(1527 \, \sqrt{31} {\left(x - 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} + 5272704 \, \sqrt{31} {\left(x - 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} - 93 \, {\left(509 \, {\left(x - 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} - 122151 \, x + 122151\right)} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} + 1076537 \, \sqrt{31} {\left(x - 1\right)}\right)} {\left(-2 \, \sqrt{31} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} - 2 \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{1235586 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 4284\right)}^{\frac{1}{4}} + 11145071888 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}}{31 \, {\left(x - 1\right)}}\right) + \frac{1}{62} \, \sqrt{31} \sqrt{2} {\left(-2 \, \sqrt{31} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} - 2 \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{1235586 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 4284\right)}^{\frac{1}{4}} \log\left(-\frac{\sqrt{2} {\left(1527 \, \sqrt{31} {\left(x - 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} + 5272704 \, \sqrt{31} {\left(x - 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} - 93 \, {\left(509 \, {\left(x - 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} - 122151 \, x + 122151\right)} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} + 1076537 \, \sqrt{31} {\left(x - 1\right)}\right)} {\left(-2 \, \sqrt{31} \sqrt{-\frac{3}{31} \, {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} - \frac{6426}{31} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{3969937818 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{31 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} + \frac{6736019}{31}} - 2 \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} - \frac{1235586 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 4284\right)}^{\frac{1}{4}} - 11145071888 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}}{31 \, {\left(x - 1\right)}}\right) + 4 \, {\left(\frac{1}{961} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{961 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - \frac{1071}{961}\right)}^{\frac{1}{4}} \arctan\left(\frac{\sqrt{44939806} \sqrt{\frac{1}{31}} {\left(1762583 \, {\left(x - 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} + 5662109214 \, {\left(x - 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} + 4611683685803 \, x - 4611683685803\right)} {\left(\frac{1}{961} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{961 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - \frac{1071}{961}\right)}^{\frac{3}{4}} \sqrt{\frac{{\left(44691 \, {\left(x^{2} - 2 \, x + 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} + 116943207136 \, x^{2} + 143589951 \, {\left(x^{2} - 2 \, x + 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} - 233886414272 \, x + 116943207136\right)} \sqrt{\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071} + 1393133986 \, \sqrt{x^{3} - 3 \, x^{2} + 3 \, x - 1}}{x^{2} - 2 \, x + 1}} - 44939806 \, {\left(1762583 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} + 5662109214 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} + 4611683685803 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}\right)} {\left(\frac{1}{961} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{961 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - \frac{1071}{961}\right)}^{\frac{3}{4}}}{12117516979905816 \, {\left(x - 1\right)}}\right) + {\left(\frac{1}{961} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{961 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - \frac{1071}{961}\right)}^{\frac{1}{4}} \log\left(\frac{2 \, {\left({\left(1527 \, {\left(x - 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} + 5272704 \, {\left(x - 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} + 4584936749 \, x - 4584936749\right)} {\left(\frac{1}{961} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{961 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - \frac{1071}{961}\right)}^{\frac{1}{4}} + 89879612 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}\right)}}{x - 1}\right) - {\left(\frac{1}{961} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{961 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - \frac{1071}{961}\right)}^{\frac{1}{4}} \log\left(-\frac{2 \, {\left({\left(1527 \, {\left(x - 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)}^{2} + 5272704 \, {\left(x - 1\right)} {\left(\left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{{\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - 1071\right)} + 4584936749 \, x - 4584936749\right)} {\left(\frac{1}{961} \, \left(\frac{4}{9}\right)^{\frac{1}{3}} {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}} + \frac{617793 \, \left(\frac{4}{9}\right)^{\frac{2}{3}}}{961 \, {\left(22469903 \, \sqrt{93} + 389553327\right)}^{\frac{1}{3}}} - \frac{1071}{961}\right)}^{\frac{1}{4}} - 89879612 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}\right)}}{x - 1}\right)"," ",0,"-2/31*sqrt(31)*sqrt(2)*(2*sqrt(31)*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) - 2*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 1235586*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 4284)^(1/4)*arctan(1/186318941083031826816*sqrt(2)*(sqrt(44939806)*sqrt(1/31)*(1762583*sqrt(31)*(x - 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 + 5662109214*sqrt(31)*(x - 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) + 31*(1762583*(x - 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) + 1069965*x - 1069965)*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) - 39205917*sqrt(31)*(x - 1))*sqrt(2*sqrt(31)*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) - 2*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 1235586*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 4284)*sqrt(-((44691*(x^2 - 2*x + 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 + 54771730*x^2 + 143589951*(x^2 - 2*x + 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) + 3*(14897*sqrt(31)*(x^2 - 2*x + 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) + 744*sqrt(31)*(x^2 - 2*x + 1))*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) - 109543460*x + 54771730)*sqrt(2*sqrt(31)*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) - 2*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 1235586*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 4284) - 5572535944*sqrt(x^3 - 3*x^2 + 3*x - 1))/(x^2 - 2*x + 1)) - 89879612*(1762583*sqrt(31)*(x^3 - 3*x^2 + 3*x - 1)^(1/4)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 + 5662109214*sqrt(31)*(x^3 - 3*x^2 + 3*x - 1)^(1/4)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) + 31*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31)*(1762583*(x^3 - 3*x^2 + 3*x - 1)^(1/4)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) + 1069965*(x^3 - 3*x^2 + 3*x - 1)^(1/4)) - 39205917*sqrt(31)*(x^3 - 3*x^2 + 3*x - 1)^(1/4))*sqrt(2*sqrt(31)*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) - 2*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 1235586*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 4284))*(2*sqrt(31)*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) - 2*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 1235586*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 4284)^(1/4)/(x - 1)) + 2/31*sqrt(31)*sqrt(2)*(-2*sqrt(31)*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) - 2*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 1235586*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 4284)^(1/4)*arctan(-1/186318941083031826816*(sqrt(44939806)*sqrt(2)*sqrt(1/31)*(1762583*sqrt(31)*(x - 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 + 5662109214*sqrt(31)*(x - 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) - 31*(1762583*(x - 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) + 1069965*x - 1069965)*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) - 39205917*sqrt(31)*(x - 1))*(-2*sqrt(31)*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) - 2*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 1235586*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 4284)^(3/4)*sqrt(-((44691*(x^2 - 2*x + 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 + 54771730*x^2 + 143589951*(x^2 - 2*x + 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) - 3*(14897*sqrt(31)*(x^2 - 2*x + 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) + 744*sqrt(31)*(x^2 - 2*x + 1))*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) - 109543460*x + 54771730)*sqrt(-2*sqrt(31)*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) - 2*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 1235586*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 4284) - 5572535944*sqrt(x^3 - 3*x^2 + 3*x - 1))/(x^2 - 2*x + 1)) - 89879612*sqrt(2)*(1762583*sqrt(31)*(x^3 - 3*x^2 + 3*x - 1)^(1/4)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 + 5662109214*sqrt(31)*(x^3 - 3*x^2 + 3*x - 1)^(1/4)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) - 31*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31)*(1762583*(x^3 - 3*x^2 + 3*x - 1)^(1/4)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) + 1069965*(x^3 - 3*x^2 + 3*x - 1)^(1/4)) - 39205917*sqrt(31)*(x^3 - 3*x^2 + 3*x - 1)^(1/4))*(-2*sqrt(31)*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) - 2*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 1235586*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 4284)^(3/4))/(x - 1)) - 1/62*sqrt(31)*sqrt(2)*(2*sqrt(31)*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) - 2*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 1235586*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 4284)^(1/4)*log(1/31*(sqrt(2)*(1527*sqrt(31)*(x - 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 + 5272704*sqrt(31)*(x - 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) + 93*(509*(x - 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) - 122151*x + 122151)*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) + 1076537*sqrt(31)*(x - 1))*(2*sqrt(31)*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) - 2*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 1235586*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 4284)^(1/4) + 11145071888*(x^3 - 3*x^2 + 3*x - 1)^(1/4))/(x - 1)) + 1/62*sqrt(31)*sqrt(2)*(2*sqrt(31)*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) - 2*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 1235586*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 4284)^(1/4)*log(-1/31*(sqrt(2)*(1527*sqrt(31)*(x - 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 + 5272704*sqrt(31)*(x - 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) + 93*(509*(x - 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) - 122151*x + 122151)*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) + 1076537*sqrt(31)*(x - 1))*(2*sqrt(31)*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) - 2*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 1235586*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 4284)^(1/4) - 11145071888*(x^3 - 3*x^2 + 3*x - 1)^(1/4))/(x - 1)) - 1/62*sqrt(31)*sqrt(2)*(-2*sqrt(31)*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) - 2*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 1235586*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 4284)^(1/4)*log(1/31*(sqrt(2)*(1527*sqrt(31)*(x - 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 + 5272704*sqrt(31)*(x - 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) - 93*(509*(x - 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) - 122151*x + 122151)*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) + 1076537*sqrt(31)*(x - 1))*(-2*sqrt(31)*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) - 2*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 1235586*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 4284)^(1/4) + 11145071888*(x^3 - 3*x^2 + 3*x - 1)^(1/4))/(x - 1)) + 1/62*sqrt(31)*sqrt(2)*(-2*sqrt(31)*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) - 2*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 1235586*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 4284)^(1/4)*log(-1/31*(sqrt(2)*(1527*sqrt(31)*(x - 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 + 5272704*sqrt(31)*(x - 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) - 93*(509*(x - 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) - 122151*x + 122151)*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) + 1076537*sqrt(31)*(x - 1))*(-2*sqrt(31)*sqrt(-3/31*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 - 6426/31*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 3969937818/31*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) + 6736019/31) - 2*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) - 1235586*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 4284)^(1/4) - 11145071888*(x^3 - 3*x^2 + 3*x - 1)^(1/4))/(x - 1)) + 4*(1/961*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793/961*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071/961)^(1/4)*arctan(1/12117516979905816*(sqrt(44939806)*sqrt(1/31)*(1762583*(x - 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 + 5662109214*(x - 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) + 4611683685803*x - 4611683685803)*(1/961*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793/961*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071/961)^(3/4)*sqrt(((44691*(x^2 - 2*x + 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 + 116943207136*x^2 + 143589951*(x^2 - 2*x + 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) - 233886414272*x + 116943207136)*sqrt((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) + 1393133986*sqrt(x^3 - 3*x^2 + 3*x - 1))/(x^2 - 2*x + 1)) - 44939806*(1762583*(x^3 - 3*x^2 + 3*x - 1)^(1/4)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 + 5662109214*(x^3 - 3*x^2 + 3*x - 1)^(1/4)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) + 4611683685803*(x^3 - 3*x^2 + 3*x - 1)^(1/4))*(1/961*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793/961*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071/961)^(3/4))/(x - 1)) + (1/961*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793/961*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071/961)^(1/4)*log(2*((1527*(x - 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 + 5272704*(x - 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) + 4584936749*x - 4584936749)*(1/961*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793/961*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071/961)^(1/4) + 89879612*(x^3 - 3*x^2 + 3*x - 1)^(1/4))/(x - 1)) - (1/961*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793/961*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071/961)^(1/4)*log(-2*((1527*(x - 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071)^2 + 5272704*(x - 1)*((4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071) + 4584936749*x - 4584936749)*(1/961*(4/9)^(1/3)*(22469903*sqrt(93) + 389553327)^(1/3) + 617793/961*(4/9)^(2/3)/(22469903*sqrt(93) + 389553327)^(1/3) - 1071/961)^(1/4) - 89879612*(x^3 - 3*x^2 + 3*x - 1)^(1/4))/(x - 1))","B",0
973,1,103,0,0.502415," ","integrate((x^2+x+1)*(x^2+2*x)*(-x^4+x^2+2*x+1)^(1/2)/(1+x)^4,x, algorithm=""fricas"")","-\frac{3 \, {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)} \arctan\left(\frac{\sqrt{-x^{4} + x^{2} + 2 \, x + 1} x^{2}}{x^{4} - x^{2} - 2 \, x - 1}\right) - {\left(2 \, x^{4} + 3 \, x^{3} + x^{2} - 4 \, x - 2\right)} \sqrt{-x^{4} + x^{2} + 2 \, x + 1}}{6 \, {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)}}"," ",0,"-1/6*(3*(x^3 + 3*x^2 + 3*x + 1)*arctan(sqrt(-x^4 + x^2 + 2*x + 1)*x^2/(x^4 - x^2 - 2*x - 1)) - (2*x^4 + 3*x^3 + x^2 - 4*x - 2)*sqrt(-x^4 + x^2 + 2*x + 1))/(x^3 + 3*x^2 + 3*x + 1)","A",0
974,1,123,0,8.898855," ","integrate((x^4-x-1)/x/(x^4+1)^(1/4),x, algorithm=""fricas"")","\frac{1}{3} \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} - \frac{1}{2} \, \arctan\left(\frac{{\left(x^{4} + 1\right)}^{\frac{3}{4}} {\left(x - 1\right)} - {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(x^{2} - x\right)}}{x^{4} - x^{2} + 1}\right) + \frac{1}{2} \, \log\left(-\frac{x^{4} - x^{3} - {\left(x^{4} + 1\right)}^{\frac{3}{4}} {\left(x - 1\right)} + \sqrt{x^{4} + 1} {\left(x^{2} - x + 1\right)} - {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(x^{3} - x^{2} + x - 1\right)} - x + 1}{x^{2}}\right)"," ",0,"1/3*(x^4 + 1)^(3/4) - 1/2*arctan(((x^4 + 1)^(3/4)*(x - 1) - (x^4 + 1)^(1/4)*(x^2 - x))/(x^4 - x^2 + 1)) + 1/2*log(-(x^4 - x^3 - (x^4 + 1)^(3/4)*(x - 1) + sqrt(x^4 + 1)*(x^2 - x + 1) - (x^4 + 1)^(1/4)*(x^3 - x^2 + x - 1) - x + 1)/x^2)","B",0
975,1,138,0,0.466223," ","integrate((x^4-x^3)^(1/4)/x^2/(x^2-1),x, algorithm=""fricas"")","\frac{4 \cdot 8^{\frac{3}{4}} x \arctan\left(\frac{8^{\frac{1}{4}} x \sqrt{\frac{\sqrt{2} x^{2} + \sqrt{x^{4} - x^{3}}}{x^{2}}} - 8^{\frac{1}{4}} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{2 \, x}\right) - 8^{\frac{3}{4}} x \log\left(\frac{8^{\frac{3}{4}} x + 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 8^{\frac{3}{4}} x \log\left(-\frac{8^{\frac{3}{4}} x - 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 32 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{8 \, x}"," ",0,"1/8*(4*8^(3/4)*x*arctan(1/2*(8^(1/4)*x*sqrt((sqrt(2)*x^2 + sqrt(x^4 - x^3))/x^2) - 8^(1/4)*(x^4 - x^3)^(1/4))/x) - 8^(3/4)*x*log((8^(3/4)*x + 4*(x^4 - x^3)^(1/4))/x) + 8^(3/4)*x*log(-(8^(3/4)*x - 4*(x^4 - x^3)^(1/4))/x) + 32*(x^4 - x^3)^(1/4))/x","B",0
976,1,110,0,1.741733," ","integrate((x^4-3)/(x^4+1)^(1/3)/(x^4-x^3+1),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(-\frac{2 \, \sqrt{3} {\left(x^{4} + 1\right)}^{\frac{1}{3}} x^{2} - 2 \, \sqrt{3} {\left(x^{4} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(x^{4} - x^{3} + 1\right)}}{3 \, {\left(x^{4} + x^{3} + 1\right)}}\right) + \frac{1}{2} \, \log\left(\frac{x^{4} - x^{3} + 3 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{4} + 1\right)}^{\frac{2}{3}} x + 1}{x^{4} - x^{3} + 1}\right)"," ",0,"-sqrt(3)*arctan(-1/3*(2*sqrt(3)*(x^4 + 1)^(1/3)*x^2 - 2*sqrt(3)*(x^4 + 1)^(2/3)*x + sqrt(3)*(x^4 - x^3 + 1))/(x^4 + x^3 + 1)) + 1/2*log((x^4 - x^3 + 3*(x^4 + 1)^(1/3)*x^2 - 3*(x^4 + 1)^(2/3)*x + 1)/(x^4 - x^3 + 1))","A",0
977,-1,0,0,0.000000," ","integrate((a*x^2+b)/(x^4-a*x^2+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
978,-1,0,0,0.000000," ","integrate((a*x^2+b)/(x^4-a*x^2+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
979,-1,0,0,0.000000," ","integrate((2*a*x^4-b)/x^2/(a*x^4-b)^(3/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
980,1,56,0,0.447889," ","integrate(1/x/(x^6+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{6} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) - \frac{1}{12} \, \log\left({\left(x^{6} + 1\right)}^{\frac{2}{3}} + {\left(x^{6} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{6} \, \log\left({\left(x^{6} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"1/6*sqrt(3)*arctan(2/3*sqrt(3)*(x^6 + 1)^(1/3) + 1/3*sqrt(3)) - 1/12*log((x^6 + 1)^(2/3) + (x^6 + 1)^(1/3) + 1) + 1/6*log((x^6 + 1)^(1/3) - 1)","A",0
981,1,107,0,0.589052," ","integrate((2*x^6-9*x^4+3)/x/(x^2+1)^2/(2*x^2-1)/((-2*x^2+1)/(2*x^2+1))^(1/2)/(2*x^2+1),x, algorithm=""fricas"")","-\frac{8 \, x^{4} + 4 \, x^{2} + 9 \, {\left(2 \, x^{4} + x^{2} - 1\right)} \log\left(\frac{{\left(2 \, x^{2} + 1\right)} \sqrt{-\frac{2 \, x^{2} - 1}{2 \, x^{2} + 1}} - 1}{x^{2}}\right) + 4 \, {\left(2 \, x^{4} - x^{2} - 1\right)} \sqrt{-\frac{2 \, x^{2} - 1}{2 \, x^{2} + 1}} - 4}{6 \, {\left(2 \, x^{4} + x^{2} - 1\right)}}"," ",0,"-1/6*(8*x^4 + 4*x^2 + 9*(2*x^4 + x^2 - 1)*log(((2*x^2 + 1)*sqrt(-(2*x^2 - 1)/(2*x^2 + 1)) - 1)/x^2) + 4*(2*x^4 - x^2 - 1)*sqrt(-(2*x^2 - 1)/(2*x^2 + 1)) - 4)/(2*x^4 + x^2 - 1)","A",0
982,1,151,0,3.948534," ","integrate((2*x^4-1)^(1/4)*(x^8-2)/x^6/(x^4-1)^2,x, algorithm=""fricas"")","\frac{75 \, {\left(x^{9} - x^{5}\right)} \arctan\left(\frac{2 \, {\left({\left(2 \, x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + {\left(2 \, x^{4} - 1\right)}^{\frac{3}{4}} x\right)}}{x^{4} - 1}\right) + 75 \, {\left(x^{9} - x^{5}\right)} \log\left(-\frac{3 \, x^{4} - 2 \, {\left(2 \, x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 2 \, \sqrt{2 \, x^{4} - 1} x^{2} - 2 \, {\left(2 \, x^{4} - 1\right)}^{\frac{3}{4}} x - 1}{x^{4} - 1}\right) + 4 \, {\left(69 \, x^{8} - 56 \, x^{4} - 8\right)} {\left(2 \, x^{4} - 1\right)}^{\frac{1}{4}}}{80 \, {\left(x^{9} - x^{5}\right)}}"," ",0,"1/80*(75*(x^9 - x^5)*arctan(2*((2*x^4 - 1)^(1/4)*x^3 + (2*x^4 - 1)^(3/4)*x)/(x^4 - 1)) + 75*(x^9 - x^5)*log(-(3*x^4 - 2*(2*x^4 - 1)^(1/4)*x^3 + 2*sqrt(2*x^4 - 1)*x^2 - 2*(2*x^4 - 1)^(3/4)*x - 1)/(x^4 - 1)) + 4*(69*x^8 - 56*x^4 - 8)*(2*x^4 - 1)^(1/4))/(x^9 - x^5)","B",0
983,1,185,0,0.455530," ","integrate((a*x^2+b)^(3/4)/x^3,x, algorithm=""fricas"")","-\frac{12 \, \left(\frac{a^{4}}{b}\right)^{\frac{1}{4}} x^{2} \arctan\left(-\frac{\left(\frac{a^{4}}{b}\right)^{\frac{1}{4}} {\left(a x^{2} + b\right)}^{\frac{1}{4}} a^{3} - \sqrt{\sqrt{a x^{2} + b} a^{6} + \sqrt{\frac{a^{4}}{b}} a^{4} b} \left(\frac{a^{4}}{b}\right)^{\frac{1}{4}}}{a^{4}}\right) + 3 \, \left(\frac{a^{4}}{b}\right)^{\frac{1}{4}} x^{2} \log\left(27 \, {\left(a x^{2} + b\right)}^{\frac{1}{4}} a^{3} + 27 \, \left(\frac{a^{4}}{b}\right)^{\frac{3}{4}} b\right) - 3 \, \left(\frac{a^{4}}{b}\right)^{\frac{1}{4}} x^{2} \log\left(27 \, {\left(a x^{2} + b\right)}^{\frac{1}{4}} a^{3} - 27 \, \left(\frac{a^{4}}{b}\right)^{\frac{3}{4}} b\right) + 4 \, {\left(a x^{2} + b\right)}^{\frac{3}{4}}}{8 \, x^{2}}"," ",0,"-1/8*(12*(a^4/b)^(1/4)*x^2*arctan(-((a^4/b)^(1/4)*(a*x^2 + b)^(1/4)*a^3 - sqrt(sqrt(a*x^2 + b)*a^6 + sqrt(a^4/b)*a^4*b)*(a^4/b)^(1/4))/a^4) + 3*(a^4/b)^(1/4)*x^2*log(27*(a*x^2 + b)^(1/4)*a^3 + 27*(a^4/b)^(3/4)*b) - 3*(a^4/b)^(1/4)*x^2*log(27*(a*x^2 + b)^(1/4)*a^3 - 27*(a^4/b)^(3/4)*b) + 4*(a*x^2 + b)^(3/4))/x^2","B",0
984,-1,0,0,0.000000," ","integrate((3-2*(1+k)*x+k*x^2)/((1-x)*x*(-k*x+1))^(1/4)/(-d+d*(1+k)*x-d*k*x^2+x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
985,1,6190,0,1.396667," ","integrate(1/(x^3-3*x^2+3*x-1)^(1/4)/(3*x^3+x^2-2*x-1),x, algorithm=""fricas"")","\frac{2}{31} \, \sqrt{31} \sqrt{2} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} - 2 \, \sqrt{31} \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} - 520\right)}^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(14386551444 \, \sqrt{31} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} - \sqrt{1864509} \sqrt{\frac{1}{31}} {\left(643 \, \sqrt{31} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} {\left(x - 1\right)} - 389166 \, \sqrt{31} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} {\left(x - 1\right)} + 62 \, \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} {\left(643 \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} {\left(x - 1\right)} - 112374 \, x + 112374\right)} + 46529388 \, \sqrt{31} {\left(x - 1\right)}\right)} \sqrt{\frac{{\left(3239 \, {\left(x^{2} - 2 \, x + 1\right)} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} - 551100 \, {\left(x^{2} - 2 \, x + 1\right)} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} - 159338016 \, x^{2} + 2 \, {\left(3239 \, \sqrt{31} {\left(x^{2} - 2 \, x + 1\right)} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} - 1975320 \, \sqrt{31} {\left(x^{2} - 2 \, x + 1\right)}\right)} \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} + 318676032 \, x - 159338016\right)} \sqrt{\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} - 2 \, \sqrt{31} \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} - 520} + 8323168176 \, \sqrt{x^{3} - 3 \, x^{2} + 3 \, x - 1}}{x^{2} - 2 \, x + 1}} - 8707242113928 \, \sqrt{31} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} + 1387194696 \, \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} {\left(643 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} - 112374 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}\right)} + 1041053552285904 \, \sqrt{31} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}\right)} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} - 2 \, \sqrt{31} \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} - 520\right)}^{\frac{1}{4}}}{31037243945331168 \, {\left(x - 1\right)}}\right) - \frac{2}{31} \, \sqrt{31} \sqrt{2} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 2 \, \sqrt{31} \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} - 520\right)}^{\frac{1}{4}} \arctan\left(\frac{\sqrt{1864509} \sqrt{2} \sqrt{\frac{1}{31}} {\left(643 \, \sqrt{31} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} {\left(x - 1\right)} - 389166 \, \sqrt{31} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} {\left(x - 1\right)} - 62 \, \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} {\left(643 \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} {\left(x - 1\right)} - 112374 \, x + 112374\right)} + 46529388 \, \sqrt{31} {\left(x - 1\right)}\right)} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 2 \, \sqrt{31} \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} - 520\right)}^{\frac{1}{4}} \sqrt{\frac{{\left(3239 \, {\left(x^{2} - 2 \, x + 1\right)} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} - 551100 \, {\left(x^{2} - 2 \, x + 1\right)} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} - 159338016 \, x^{2} - 2 \, {\left(3239 \, \sqrt{31} {\left(x^{2} - 2 \, x + 1\right)} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} - 1975320 \, \sqrt{31} {\left(x^{2} - 2 \, x + 1\right)}\right)} \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} + 318676032 \, x - 159338016\right)} \sqrt{\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 2 \, \sqrt{31} \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} - 520} + 8323168176 \, \sqrt{x^{3} - 3 \, x^{2} + 3 \, x - 1}}{x^{2} - 2 \, x + 1}} - 22374108 \, \sqrt{2} {\left(643 \, \sqrt{31} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} - 389166 \, \sqrt{31} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} - 62 \, \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} {\left(643 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} - 112374 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}\right)} + 46529388 \, \sqrt{31} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}\right)} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 2 \, \sqrt{31} \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} - 520\right)}^{\frac{1}{4}}}{31037243945331168 \, {\left(x - 1\right)}}\right) - \frac{1}{62} \, \sqrt{31} \sqrt{2} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 2 \, \sqrt{31} \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} - 520\right)}^{\frac{1}{4}} \log\left(\frac{\sqrt{2} {\left(54235 \, \sqrt{31} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} {\left(x - 1\right)} - 40706304 \, \sqrt{31} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} {\left(x - 1\right)} - 62 \, \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} {\left(54235 \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} {\left(x - 1\right)} - 1596996 \, x + 1596996\right)} + 9774338688 \, \sqrt{31} {\left(x - 1\right)}\right)} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 2 \, \sqrt{31} \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} - 520\right)}^{\frac{3}{4}} + 4644327842208 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}}{3844 \, {\left(x - 1\right)}}\right) + \frac{1}{62} \, \sqrt{31} \sqrt{2} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 2 \, \sqrt{31} \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} - 520\right)}^{\frac{1}{4}} \log\left(-\frac{\sqrt{2} {\left(54235 \, \sqrt{31} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} {\left(x - 1\right)} - 40706304 \, \sqrt{31} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} {\left(x - 1\right)} - 62 \, \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} {\left(54235 \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} {\left(x - 1\right)} - 1596996 \, x + 1596996\right)} + 9774338688 \, \sqrt{31} {\left(x - 1\right)}\right)} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 2 \, \sqrt{31} \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} - 520\right)}^{\frac{3}{4}} - 4644327842208 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}}{3844 \, {\left(x - 1\right)}}\right) - \frac{1}{62} \, \sqrt{31} \sqrt{2} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} - 2 \, \sqrt{31} \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} - 520\right)}^{\frac{1}{4}} \log\left(\frac{\sqrt{2} {\left(54235 \, \sqrt{31} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} {\left(x - 1\right)} - 40706304 \, \sqrt{31} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} {\left(x - 1\right)} + 62 \, \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} {\left(54235 \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} {\left(x - 1\right)} - 1596996 \, x + 1596996\right)} + 9774338688 \, \sqrt{31} {\left(x - 1\right)}\right)} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} - 2 \, \sqrt{31} \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} - 520\right)}^{\frac{3}{4}} + 4644327842208 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}}{3844 \, {\left(x - 1\right)}}\right) + \frac{1}{62} \, \sqrt{31} \sqrt{2} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} - 2 \, \sqrt{31} \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} - 520\right)}^{\frac{1}{4}} \log\left(-\frac{\sqrt{2} {\left(54235 \, \sqrt{31} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} {\left(x - 1\right)} - 40706304 \, \sqrt{31} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} {\left(x - 1\right)} + 62 \, \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} {\left(54235 \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} {\left(x - 1\right)} - 1596996 \, x + 1596996\right)} + 9774338688 \, \sqrt{31} {\left(x - 1\right)}\right)} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} - 2 \, \sqrt{31} \sqrt{-\frac{3}{124} \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} + \frac{390}{31} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{14135940 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{31 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + \frac{74864}{31}} - 520\right)}^{\frac{3}{4}} - 4644327842208 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}}{3844 \, {\left(x - 1\right)}}\right) + 4 \, {\left(-\frac{1}{1922} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} - \frac{18123 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{961 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} - \frac{130}{961}\right)}^{\frac{1}{4}} \arctan\left(-\frac{{\left(7193275722 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} - \sqrt{1864509} {\left(643 \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} {\left(x - 1\right)} - 389166 \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} {\left(x - 1\right)} + 47772394 \, x - 47772394\right)} \sqrt{-\frac{{\left(3239 \, {\left(x^{2} - 2 \, x + 1\right)} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} - 551100 \, {\left(x^{2} - 2 \, x + 1\right)} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} - 112103788 \, x^{2} + 224207576 \, x - 112103788\right)} \sqrt{-\frac{1}{1922} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} - \frac{18123 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{961 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} - \frac{130}{961}} - 67122324 \, \sqrt{x^{3} - 3 \, x^{2} + 3 \, x - 1}}{x^{2} - 2 \, x + 1}} - 4353621056964 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}} {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} + 534432351387276 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}\right)} {\left(-\frac{1}{1922} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} - \frac{18123 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{961 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} - \frac{130}{961}\right)}^{\frac{1}{4}}}{125150177198916 \, {\left(x - 1\right)}}\right) + {\left(-\frac{1}{1922} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} - \frac{18123 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{961 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} - \frac{130}{961}\right)}^{\frac{1}{4}} \log\left(\frac{{\left(54235 \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} {\left(x - 1\right)} - 40706304 \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} {\left(x - 1\right)} + 4178325676 \, x - 4178325676\right)} {\left(-\frac{1}{1922} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} - \frac{18123 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{961 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} - \frac{130}{961}\right)}^{\frac{3}{4}} + 604100916 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}}{x - 1}\right) - {\left(-\frac{1}{1922} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} - \frac{18123 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{961 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} - \frac{130}{961}\right)}^{\frac{1}{4}} \log\left(-\frac{{\left(54235 \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)}^{2} {\left(x - 1\right)} - 40706304 \, {\left(\left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + \frac{36246 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{{\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} + 260\right)} {\left(x - 1\right)} + 4178325676 \, x - 4178325676\right)} {\left(-\frac{1}{1922} \, \left(\frac{1}{18}\right)^{\frac{1}{3}} {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} - \frac{18123 \, \left(\frac{1}{18}\right)^{\frac{2}{3}} {\left(i \, \sqrt{3} + 1\right)}}{961 \, {\left(621503 \, \sqrt{93} - 6210333\right)}^{\frac{1}{3}}} - \frac{130}{961}\right)}^{\frac{3}{4}} - 604100916 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}}{x - 1}\right)"," ",0,"2/31*sqrt(31)*sqrt(2)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) - 2*sqrt(31)*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31) - 520)^(1/4)*arctan(1/31037243945331168*sqrt(2)*(14386551444*sqrt(31)*(x^3 - 3*x^2 + 3*x - 1)^(1/4)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 - sqrt(1864509)*sqrt(1/31)*(643*sqrt(31)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2*(x - 1) - 389166*sqrt(31)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)*(x - 1) + 62*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31)*(643*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)*(x - 1) - 112374*x + 112374) + 46529388*sqrt(31)*(x - 1))*sqrt(((3239*(x^2 - 2*x + 1)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 - 551100*(x^2 - 2*x + 1)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260) - 159338016*x^2 + 2*(3239*sqrt(31)*(x^2 - 2*x + 1)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260) - 1975320*sqrt(31)*(x^2 - 2*x + 1))*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31) + 318676032*x - 159338016)*sqrt((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) - 2*sqrt(31)*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31) - 520) + 8323168176*sqrt(x^3 - 3*x^2 + 3*x - 1))/(x^2 - 2*x + 1)) - 8707242113928*sqrt(31)*(x^3 - 3*x^2 + 3*x - 1)^(1/4)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260) + 1387194696*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31)*(643*(x^3 - 3*x^2 + 3*x - 1)^(1/4)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260) - 112374*(x^3 - 3*x^2 + 3*x - 1)^(1/4)) + 1041053552285904*sqrt(31)*(x^3 - 3*x^2 + 3*x - 1)^(1/4))*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) - 2*sqrt(31)*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31) - 520)^(1/4)/(x - 1)) - 2/31*sqrt(31)*sqrt(2)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 2*sqrt(31)*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31) - 520)^(1/4)*arctan(1/31037243945331168*(sqrt(1864509)*sqrt(2)*sqrt(1/31)*(643*sqrt(31)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2*(x - 1) - 389166*sqrt(31)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)*(x - 1) - 62*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31)*(643*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)*(x - 1) - 112374*x + 112374) + 46529388*sqrt(31)*(x - 1))*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 2*sqrt(31)*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31) - 520)^(1/4)*sqrt(((3239*(x^2 - 2*x + 1)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 - 551100*(x^2 - 2*x + 1)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260) - 159338016*x^2 - 2*(3239*sqrt(31)*(x^2 - 2*x + 1)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260) - 1975320*sqrt(31)*(x^2 - 2*x + 1))*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31) + 318676032*x - 159338016)*sqrt((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 2*sqrt(31)*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31) - 520) + 8323168176*sqrt(x^3 - 3*x^2 + 3*x - 1))/(x^2 - 2*x + 1)) - 22374108*sqrt(2)*(643*sqrt(31)*(x^3 - 3*x^2 + 3*x - 1)^(1/4)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 - 389166*sqrt(31)*(x^3 - 3*x^2 + 3*x - 1)^(1/4)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260) - 62*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31)*(643*(x^3 - 3*x^2 + 3*x - 1)^(1/4)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260) - 112374*(x^3 - 3*x^2 + 3*x - 1)^(1/4)) + 46529388*sqrt(31)*(x^3 - 3*x^2 + 3*x - 1)^(1/4))*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 2*sqrt(31)*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31) - 520)^(1/4))/(x - 1)) - 1/62*sqrt(31)*sqrt(2)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 2*sqrt(31)*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31) - 520)^(1/4)*log(1/3844*(sqrt(2)*(54235*sqrt(31)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2*(x - 1) - 40706304*sqrt(31)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)*(x - 1) - 62*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31)*(54235*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)*(x - 1) - 1596996*x + 1596996) + 9774338688*sqrt(31)*(x - 1))*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 2*sqrt(31)*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31) - 520)^(3/4) + 4644327842208*(x^3 - 3*x^2 + 3*x - 1)^(1/4))/(x - 1)) + 1/62*sqrt(31)*sqrt(2)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 2*sqrt(31)*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31) - 520)^(1/4)*log(-1/3844*(sqrt(2)*(54235*sqrt(31)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2*(x - 1) - 40706304*sqrt(31)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)*(x - 1) - 62*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31)*(54235*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)*(x - 1) - 1596996*x + 1596996) + 9774338688*sqrt(31)*(x - 1))*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 2*sqrt(31)*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31) - 520)^(3/4) - 4644327842208*(x^3 - 3*x^2 + 3*x - 1)^(1/4))/(x - 1)) - 1/62*sqrt(31)*sqrt(2)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) - 2*sqrt(31)*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31) - 520)^(1/4)*log(1/3844*(sqrt(2)*(54235*sqrt(31)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2*(x - 1) - 40706304*sqrt(31)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)*(x - 1) + 62*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31)*(54235*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)*(x - 1) - 1596996*x + 1596996) + 9774338688*sqrt(31)*(x - 1))*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) - 2*sqrt(31)*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31) - 520)^(3/4) + 4644327842208*(x^3 - 3*x^2 + 3*x - 1)^(1/4))/(x - 1)) + 1/62*sqrt(31)*sqrt(2)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) - 2*sqrt(31)*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31) - 520)^(1/4)*log(-1/3844*(sqrt(2)*(54235*sqrt(31)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2*(x - 1) - 40706304*sqrt(31)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)*(x - 1) + 62*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31)*(54235*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)*(x - 1) - 1596996*x + 1596996) + 9774338688*sqrt(31)*(x - 1))*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) - 2*sqrt(31)*sqrt(-3/124*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 + 390/31*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 14135940/31*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 74864/31) - 520)^(3/4) - 4644327842208*(x^3 - 3*x^2 + 3*x - 1)^(1/4))/(x - 1)) + 4*(-1/1922*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) - 18123/961*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) - 130/961)^(1/4)*arctan(-1/125150177198916*(7193275722*(x^3 - 3*x^2 + 3*x - 1)^(1/4)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 - sqrt(1864509)*(643*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2*(x - 1) - 389166*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)*(x - 1) + 47772394*x - 47772394)*sqrt(-((3239*(x^2 - 2*x + 1)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2 - 551100*(x^2 - 2*x + 1)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260) - 112103788*x^2 + 224207576*x - 112103788)*sqrt(-1/1922*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) - 18123/961*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) - 130/961) - 67122324*sqrt(x^3 - 3*x^2 + 3*x - 1))/(x^2 - 2*x + 1)) - 4353621056964*(x^3 - 3*x^2 + 3*x - 1)^(1/4)*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260) + 534432351387276*(x^3 - 3*x^2 + 3*x - 1)^(1/4))*(-1/1922*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) - 18123/961*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) - 130/961)^(1/4)/(x - 1)) + (-1/1922*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) - 18123/961*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) - 130/961)^(1/4)*log(((54235*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2*(x - 1) - 40706304*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)*(x - 1) + 4178325676*x - 4178325676)*(-1/1922*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) - 18123/961*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) - 130/961)^(3/4) + 604100916*(x^3 - 3*x^2 + 3*x - 1)^(1/4))/(x - 1)) - (-1/1922*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) - 18123/961*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) - 130/961)^(1/4)*log(-((54235*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)^2*(x - 1) - 40706304*((1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) + 36246*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) + 260)*(x - 1) + 4178325676*x - 4178325676)*(-1/1922*(1/18)^(1/3)*(621503*sqrt(93) - 6210333)^(1/3)*(-I*sqrt(3) + 1) - 18123/961*(1/18)^(2/3)*(I*sqrt(3) + 1)/(621503*sqrt(93) - 6210333)^(1/3) - 130/961)^(3/4) - 604100916*(x^3 - 3*x^2 + 3*x - 1)^(1/4))/(x - 1))","B",0
986,1,182,0,0.482025," ","integrate((a*x^3+b)^(3/4)/x^4,x, algorithm=""fricas"")","-\frac{12 \, \left(\frac{a^{4}}{b}\right)^{\frac{1}{4}} x^{3} \arctan\left(-\frac{{\left(a x^{3} + b\right)}^{\frac{1}{4}} \left(\frac{a^{4}}{b}\right)^{\frac{1}{4}} a^{3} - \sqrt{\sqrt{a x^{3} + b} a^{6} + \sqrt{\frac{a^{4}}{b}} a^{4} b} \left(\frac{a^{4}}{b}\right)^{\frac{1}{4}}}{a^{4}}\right) + 3 \, \left(\frac{a^{4}}{b}\right)^{\frac{1}{4}} x^{3} \log\left({\left(a x^{3} + b\right)}^{\frac{1}{4}} a^{3} + \left(\frac{a^{4}}{b}\right)^{\frac{3}{4}} b\right) - 3 \, \left(\frac{a^{4}}{b}\right)^{\frac{1}{4}} x^{3} \log\left({\left(a x^{3} + b\right)}^{\frac{1}{4}} a^{3} - \left(\frac{a^{4}}{b}\right)^{\frac{3}{4}} b\right) + 4 \, {\left(a x^{3} + b\right)}^{\frac{3}{4}}}{12 \, x^{3}}"," ",0,"-1/12*(12*(a^4/b)^(1/4)*x^3*arctan(-((a*x^3 + b)^(1/4)*(a^4/b)^(1/4)*a^3 - sqrt(sqrt(a*x^3 + b)*a^6 + sqrt(a^4/b)*a^4*b)*(a^4/b)^(1/4))/a^4) + 3*(a^4/b)^(1/4)*x^3*log((a*x^3 + b)^(1/4)*a^3 + (a^4/b)^(3/4)*b) - 3*(a^4/b)^(1/4)*x^3*log((a*x^3 + b)^(1/4)*a^3 - (a^4/b)^(3/4)*b) + 4*(a*x^3 + b)^(3/4))/x^3","B",0
987,1,253,0,2.021368," ","integrate((x^4+x^2)^(1/4)/x^4/(x^4-1),x, algorithm=""fricas"")","-\frac{20 \cdot 8^{\frac{3}{4}} x^{3} \arctan\left(\frac{16 \cdot 8^{\frac{1}{4}} {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(8^{\frac{3}{4}} {\left(3 \, x^{3} + x\right)} + 8 \cdot 8^{\frac{1}{4}} \sqrt{x^{4} + x^{2}} x\right)} + 4 \cdot 8^{\frac{3}{4}} {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{8 \, {\left(x^{3} - x\right)}}\right) + 5 \cdot 8^{\frac{3}{4}} x^{3} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 8^{\frac{3}{4}} \sqrt{x^{4} + x^{2}} x + 8^{\frac{1}{4}} {\left(3 \, x^{3} + x\right)} + 4 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{x^{3} - x}\right) - 5 \cdot 8^{\frac{3}{4}} x^{3} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x^{2} - 8^{\frac{3}{4}} \sqrt{x^{4} + x^{2}} x - 8^{\frac{1}{4}} {\left(3 \, x^{3} + x\right)} + 4 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{x^{3} - x}\right) - 64 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{2} + 1\right)}}{160 \, x^{3}}"," ",0,"-1/160*(20*8^(3/4)*x^3*arctan(1/8*(16*8^(1/4)*(x^4 + x^2)^(1/4)*x^2 + 2^(3/4)*(8^(3/4)*(3*x^3 + x) + 8*8^(1/4)*sqrt(x^4 + x^2)*x) + 4*8^(3/4)*(x^4 + x^2)^(3/4))/(x^3 - x)) + 5*8^(3/4)*x^3*log((4*sqrt(2)*(x^4 + x^2)^(1/4)*x^2 + 8^(3/4)*sqrt(x^4 + x^2)*x + 8^(1/4)*(3*x^3 + x) + 4*(x^4 + x^2)^(3/4))/(x^3 - x)) - 5*8^(3/4)*x^3*log((4*sqrt(2)*(x^4 + x^2)^(1/4)*x^2 - 8^(3/4)*sqrt(x^4 + x^2)*x - 8^(1/4)*(3*x^3 + x) + 4*(x^4 + x^2)^(3/4))/(x^3 - x)) - 64*(x^4 + x^2)^(1/4)*(x^2 + 1))/x^3","B",0
988,1,102,0,1.511689," ","integrate(x*(x^4-3)/(x^4+1)^(2/3)/(x^4+x^3+1),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{4 \, \sqrt{3} {\left(x^{4} + 1\right)}^{\frac{1}{3}} x^{2} + 2 \, \sqrt{3} {\left(x^{4} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(x^{4} + 1\right)}}{x^{4} - 8 \, x^{3} + 1}\right) + \frac{1}{2} \, \log\left(\frac{x^{4} + x^{3} + 3 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{4} + 1\right)}^{\frac{2}{3}} x + 1}{x^{4} + x^{3} + 1}\right)"," ",0,"-sqrt(3)*arctan((4*sqrt(3)*(x^4 + 1)^(1/3)*x^2 + 2*sqrt(3)*(x^4 + 1)^(2/3)*x + sqrt(3)*(x^4 + 1))/(x^4 - 8*x^3 + 1)) + 1/2*log((x^4 + x^3 + 3*(x^4 + 1)^(1/3)*x^2 + 3*(x^4 + 1)^(2/3)*x + 1)/(x^4 + x^3 + 1))","A",0
989,1,71,0,0.535678," ","integrate((-4*x^4-x^2+2)^(1/2)*(2*x^4+1)/(2*x^4-1)/(2*x^4-x^2-1),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} \sqrt{-4 \, x^{4} - x^{2} + 2} x}{2 \, x^{4} + 2 \, x^{2} - 1}\right) + \frac{1}{2} \, \arctan\left(\frac{\sqrt{-4 \, x^{4} - x^{2} + 2} x}{2 \, x^{4} + x^{2} - 1}\right)"," ",0,"-1/2*sqrt(3)*arctan(sqrt(3)*sqrt(-4*x^4 - x^2 + 2)*x/(2*x^4 + 2*x^2 - 1)) + 1/2*arctan(sqrt(-4*x^4 - x^2 + 2)*x/(2*x^4 + x^2 - 1))","A",0
990,1,192,0,0.482580," ","integrate((a*x^4+b)^(3/4),x, algorithm=""fricas"")","\frac{1}{4} \, {\left(a x^{4} + b\right)}^{\frac{3}{4}} x + \frac{3}{4} \, \left(\frac{b^{4}}{a}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}} \left(\frac{b^{4}}{a}\right)^{\frac{1}{4}} b^{3} - \left(\frac{b^{4}}{a}\right)^{\frac{1}{4}} x \sqrt{\frac{\sqrt{\frac{b^{4}}{a}} a b^{4} x^{2} + \sqrt{a x^{4} + b} b^{6}}{x^{2}}}}{b^{4} x}\right) + \frac{3}{16} \, \left(\frac{b^{4}}{a}\right)^{\frac{1}{4}} \log\left(\frac{27 \, {\left({\left(a x^{4} + b\right)}^{\frac{1}{4}} b^{3} + \left(\frac{b^{4}}{a}\right)^{\frac{3}{4}} a x\right)}}{x}\right) - \frac{3}{16} \, \left(\frac{b^{4}}{a}\right)^{\frac{1}{4}} \log\left(\frac{27 \, {\left({\left(a x^{4} + b\right)}^{\frac{1}{4}} b^{3} - \left(\frac{b^{4}}{a}\right)^{\frac{3}{4}} a x\right)}}{x}\right)"," ",0,"1/4*(a*x^4 + b)^(3/4)*x + 3/4*(b^4/a)^(1/4)*arctan(-((a*x^4 + b)^(1/4)*(b^4/a)^(1/4)*b^3 - (b^4/a)^(1/4)*x*sqrt((sqrt(b^4/a)*a*b^4*x^2 + sqrt(a*x^4 + b)*b^6)/x^2))/(b^4*x)) + 3/16*(b^4/a)^(1/4)*log(27*((a*x^4 + b)^(1/4)*b^3 + (b^4/a)^(3/4)*a*x)/x) - 3/16*(b^4/a)^(1/4)*log(27*((a*x^4 + b)^(1/4)*b^3 - (b^4/a)^(3/4)*a*x)/x)","B",0
991,-1,0,0,0.000000," ","integrate((a*x^4+b)^(3/4)/x^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
992,1,185,0,0.639981," ","integrate((a*x^5+b)^(3/4)/x^6,x, algorithm=""fricas"")","-\frac{12 \, \left(\frac{a^{4}}{b}\right)^{\frac{1}{4}} x^{5} \arctan\left(-\frac{{\left(a x^{5} + b\right)}^{\frac{1}{4}} \left(\frac{a^{4}}{b}\right)^{\frac{1}{4}} a^{3} - \sqrt{\sqrt{a x^{5} + b} a^{6} + \sqrt{\frac{a^{4}}{b}} a^{4} b} \left(\frac{a^{4}}{b}\right)^{\frac{1}{4}}}{a^{4}}\right) + 3 \, \left(\frac{a^{4}}{b}\right)^{\frac{1}{4}} x^{5} \log\left(27 \, {\left(a x^{5} + b\right)}^{\frac{1}{4}} a^{3} + 27 \, \left(\frac{a^{4}}{b}\right)^{\frac{3}{4}} b\right) - 3 \, \left(\frac{a^{4}}{b}\right)^{\frac{1}{4}} x^{5} \log\left(27 \, {\left(a x^{5} + b\right)}^{\frac{1}{4}} a^{3} - 27 \, \left(\frac{a^{4}}{b}\right)^{\frac{3}{4}} b\right) + 4 \, {\left(a x^{5} + b\right)}^{\frac{3}{4}}}{20 \, x^{5}}"," ",0,"-1/20*(12*(a^4/b)^(1/4)*x^5*arctan(-((a*x^5 + b)^(1/4)*(a^4/b)^(1/4)*a^3 - sqrt(sqrt(a*x^5 + b)*a^6 + sqrt(a^4/b)*a^4*b)*(a^4/b)^(1/4))/a^4) + 3*(a^4/b)^(1/4)*x^5*log(27*(a*x^5 + b)^(1/4)*a^3 + 27*(a^4/b)^(3/4)*b) - 3*(a^4/b)^(1/4)*x^5*log(27*(a*x^5 + b)^(1/4)*a^3 - 27*(a^4/b)^(3/4)*b) + 4*(a*x^5 + b)^(3/4))/x^5","B",0
993,1,100,0,2.281343," ","integrate((-3*x^5+2)/(x^5-x^2+1)/(x^6+x)^(1/3),x, algorithm=""fricas"")","\sqrt{3} \arctan\left(-\frac{4 \, \sqrt{3} {\left(x^{6} + x\right)}^{\frac{1}{3}} x + \sqrt{3} {\left(x^{5} + 1\right)} - 2 \, \sqrt{3} {\left(x^{6} + x\right)}^{\frac{2}{3}}}{x^{5} + 8 \, x^{2} + 1}\right) - \frac{1}{2} \, \log\left(\frac{x^{5} - x^{2} + 3 \, {\left(x^{6} + x\right)}^{\frac{1}{3}} x - 3 \, {\left(x^{6} + x\right)}^{\frac{2}{3}} + 1}{x^{5} - x^{2} + 1}\right)"," ",0,"sqrt(3)*arctan(-(4*sqrt(3)*(x^6 + x)^(1/3)*x + sqrt(3)*(x^5 + 1) - 2*sqrt(3)*(x^6 + x)^(2/3))/(x^5 + 8*x^2 + 1)) - 1/2*log((x^5 - x^2 + 3*(x^6 + x)^(1/3)*x - 3*(x^6 + x)^(2/3) + 1)/(x^5 - x^2 + 1))","A",0
994,1,182,0,0.616753," ","integrate((a*x^6+b)^(3/4)/x^7,x, algorithm=""fricas"")","-\frac{12 \, \left(\frac{a^{4}}{b}\right)^{\frac{1}{4}} x^{6} \arctan\left(-\frac{{\left(a x^{6} + b\right)}^{\frac{1}{4}} \left(\frac{a^{4}}{b}\right)^{\frac{1}{4}} a^{3} - \sqrt{\sqrt{a x^{6} + b} a^{6} + \sqrt{\frac{a^{4}}{b}} a^{4} b} \left(\frac{a^{4}}{b}\right)^{\frac{1}{4}}}{a^{4}}\right) + 3 \, \left(\frac{a^{4}}{b}\right)^{\frac{1}{4}} x^{6} \log\left({\left(a x^{6} + b\right)}^{\frac{1}{4}} a^{3} + \left(\frac{a^{4}}{b}\right)^{\frac{3}{4}} b\right) - 3 \, \left(\frac{a^{4}}{b}\right)^{\frac{1}{4}} x^{6} \log\left({\left(a x^{6} + b\right)}^{\frac{1}{4}} a^{3} - \left(\frac{a^{4}}{b}\right)^{\frac{3}{4}} b\right) + 4 \, {\left(a x^{6} + b\right)}^{\frac{3}{4}}}{24 \, x^{6}}"," ",0,"-1/24*(12*(a^4/b)^(1/4)*x^6*arctan(-((a*x^6 + b)^(1/4)*(a^4/b)^(1/4)*a^3 - sqrt(sqrt(a*x^6 + b)*a^6 + sqrt(a^4/b)*a^4*b)*(a^4/b)^(1/4))/a^4) + 3*(a^4/b)^(1/4)*x^6*log((a*x^6 + b)^(1/4)*a^3 + (a^4/b)^(3/4)*b) - 3*(a^4/b)^(1/4)*x^6*log((a*x^6 + b)^(1/4)*a^3 - (a^4/b)^(3/4)*b) + 4*(a*x^6 + b)^(3/4))/x^6","B",0
995,-1,0,0,0.000000," ","integrate((a*x^6+2*b)/(a*x^6-b)^(1/4)/(a*x^6-2*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
996,1,430,0,0.740964," ","integrate((x^4-1)*(x^4+1)^(1/2)/(x^8+3*x^4+1),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \arctan\left(-\frac{x^{8} + 3 \, x^{4} + 2 \, \sqrt{2} {\left(x^{5} - x^{3} + x\right)} \sqrt{x^{4} + 1} - {\left(4 \, \sqrt{x^{4} + 1} x^{3} + \sqrt{2} {\left(x^{8} - 2 \, x^{6} + x^{4} - 2 \, x^{2} + 1\right)}\right)} \sqrt{\frac{x^{8} + 4 \, x^{6} + 3 \, x^{4} + 2 \, \sqrt{2} {\left(x^{5} + x^{3} + x\right)} \sqrt{x^{4} + 1} + 4 \, x^{2} + 1}{x^{8} + 3 \, x^{4} + 1}} + 1}{x^{8} - 4 \, x^{6} + 3 \, x^{4} - 4 \, x^{2} + 1}\right) - \frac{1}{4} \, \sqrt{2} \arctan\left(-\frac{x^{8} + 3 \, x^{4} - 2 \, \sqrt{2} {\left(x^{5} - x^{3} + x\right)} \sqrt{x^{4} + 1} - {\left(4 \, \sqrt{x^{4} + 1} x^{3} - \sqrt{2} {\left(x^{8} - 2 \, x^{6} + x^{4} - 2 \, x^{2} + 1\right)}\right)} \sqrt{\frac{x^{8} + 4 \, x^{6} + 3 \, x^{4} - 2 \, \sqrt{2} {\left(x^{5} + x^{3} + x\right)} \sqrt{x^{4} + 1} + 4 \, x^{2} + 1}{x^{8} + 3 \, x^{4} + 1}} + 1}{x^{8} - 4 \, x^{6} + 3 \, x^{4} - 4 \, x^{2} + 1}\right) - \frac{1}{16} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{8} + 4 \, x^{6} + 3 \, x^{4} + 2 \, \sqrt{2} {\left(x^{5} + x^{3} + x\right)} \sqrt{x^{4} + 1} + 4 \, x^{2} + 1\right)}}{x^{8} + 3 \, x^{4} + 1}\right) + \frac{1}{16} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{8} + 4 \, x^{6} + 3 \, x^{4} - 2 \, \sqrt{2} {\left(x^{5} + x^{3} + x\right)} \sqrt{x^{4} + 1} + 4 \, x^{2} + 1\right)}}{x^{8} + 3 \, x^{4} + 1}\right)"," ",0,"1/4*sqrt(2)*arctan(-(x^8 + 3*x^4 + 2*sqrt(2)*(x^5 - x^3 + x)*sqrt(x^4 + 1) - (4*sqrt(x^4 + 1)*x^3 + sqrt(2)*(x^8 - 2*x^6 + x^4 - 2*x^2 + 1))*sqrt((x^8 + 4*x^6 + 3*x^4 + 2*sqrt(2)*(x^5 + x^3 + x)*sqrt(x^4 + 1) + 4*x^2 + 1)/(x^8 + 3*x^4 + 1)) + 1)/(x^8 - 4*x^6 + 3*x^4 - 4*x^2 + 1)) - 1/4*sqrt(2)*arctan(-(x^8 + 3*x^4 - 2*sqrt(2)*(x^5 - x^3 + x)*sqrt(x^4 + 1) - (4*sqrt(x^4 + 1)*x^3 - sqrt(2)*(x^8 - 2*x^6 + x^4 - 2*x^2 + 1))*sqrt((x^8 + 4*x^6 + 3*x^4 - 2*sqrt(2)*(x^5 + x^3 + x)*sqrt(x^4 + 1) + 4*x^2 + 1)/(x^8 + 3*x^4 + 1)) + 1)/(x^8 - 4*x^6 + 3*x^4 - 4*x^2 + 1)) - 1/16*sqrt(2)*log(4*(x^8 + 4*x^6 + 3*x^4 + 2*sqrt(2)*(x^5 + x^3 + x)*sqrt(x^4 + 1) + 4*x^2 + 1)/(x^8 + 3*x^4 + 1)) + 1/16*sqrt(2)*log(4*(x^8 + 4*x^6 + 3*x^4 - 2*sqrt(2)*(x^5 + x^3 + x)*sqrt(x^4 + 1) + 4*x^2 + 1)/(x^8 + 3*x^4 + 1))","B",0
997,1,413,0,0.911276," ","integrate((k^2*x^2-1)/((1-x)*x*(-k^2*x+1))^(1/2)/(a*k^2*x^2+b*x+a),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a^{2} k^{2} - a^{2} - a b} \log\left(\frac{a^{2} k^{4} x^{4} - 2 \, {\left(4 \, a^{2} k^{4} + {\left(4 \, a^{2} + 3 \, a b\right)} k^{2}\right)} x^{3} + {\left(8 \, a^{2} k^{4} + 2 \, {\left(9 \, a^{2} + 4 \, a b\right)} k^{2} + 8 \, a^{2} + 8 \, a b + b^{2}\right)} x^{2} - 4 \, {\left(a k^{2} x^{2} - {\left(2 \, a k^{2} + 2 \, a + b\right)} x + a\right)} \sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} \sqrt{-a^{2} k^{2} - a^{2} - a b} + a^{2} - 2 \, {\left(4 \, a^{2} k^{2} + 4 \, a^{2} + 3 \, a b\right)} x}{a^{2} k^{4} x^{4} + 2 \, a b k^{2} x^{3} + 2 \, a b x + {\left(2 \, a^{2} k^{2} + b^{2}\right)} x^{2} + a^{2}}\right)}{2 \, {\left(a^{2} k^{2} + a^{2} + a b\right)}}, \frac{\arctan\left(\frac{{\left(a k^{2} x^{2} - {\left(2 \, a k^{2} + 2 \, a + b\right)} x + a\right)} \sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} \sqrt{a^{2} k^{2} + a^{2} + a b}}{2 \, {\left({\left(a^{2} k^{4} + {\left(a^{2} + a b\right)} k^{2}\right)} x^{3} - {\left(a^{2} k^{4} + {\left(2 \, a^{2} + a b\right)} k^{2} + a^{2} + a b\right)} x^{2} + {\left(a^{2} k^{2} + a^{2} + a b\right)} x\right)}}\right)}{\sqrt{a^{2} k^{2} + a^{2} + a b}}\right]"," ",0,"[-1/2*sqrt(-a^2*k^2 - a^2 - a*b)*log((a^2*k^4*x^4 - 2*(4*a^2*k^4 + (4*a^2 + 3*a*b)*k^2)*x^3 + (8*a^2*k^4 + 2*(9*a^2 + 4*a*b)*k^2 + 8*a^2 + 8*a*b + b^2)*x^2 - 4*(a*k^2*x^2 - (2*a*k^2 + 2*a + b)*x + a)*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*sqrt(-a^2*k^2 - a^2 - a*b) + a^2 - 2*(4*a^2*k^2 + 4*a^2 + 3*a*b)*x)/(a^2*k^4*x^4 + 2*a*b*k^2*x^3 + 2*a*b*x + (2*a^2*k^2 + b^2)*x^2 + a^2))/(a^2*k^2 + a^2 + a*b), arctan(1/2*(a*k^2*x^2 - (2*a*k^2 + 2*a + b)*x + a)*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*sqrt(a^2*k^2 + a^2 + a*b)/((a^2*k^4 + (a^2 + a*b)*k^2)*x^3 - (a^2*k^4 + (2*a^2 + a*b)*k^2 + a^2 + a*b)*x^2 + (a^2*k^2 + a^2 + a*b)*x))/sqrt(a^2*k^2 + a^2 + a*b)]","B",0
998,1,58,0,0.451346," ","integrate(1/x/(x^4-1)^(1/3),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{4} - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) + \frac{1}{8} \, \log\left({\left(x^{4} - 1\right)}^{\frac{2}{3}} - {\left(x^{4} - 1\right)}^{\frac{1}{3}} + 1\right) - \frac{1}{4} \, \log\left({\left(x^{4} - 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"1/4*sqrt(3)*arctan(2/3*sqrt(3)*(x^4 - 1)^(1/3) - 1/3*sqrt(3)) + 1/8*log((x^4 - 1)^(2/3) - (x^4 - 1)^(1/3) + 1) - 1/4*log((x^4 - 1)^(1/3) + 1)","A",0
999,1,113,0,0.446519," ","integrate(x^2*(a*x^2-2*b)/(a*x^2-b)^(3/4)/(x^4-4*a*x^2+4*b),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(a x^{2} - b\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{4} \, \sqrt{2} \log\left(-\frac{x^{4} - 2 \, \sqrt{2} {\left(a x^{2} - b\right)}^{\frac{1}{4}} x^{3} + 4 \, a x^{2} + 4 \, \sqrt{a x^{2} - b} x^{2} - 4 \, \sqrt{2} {\left(a x^{2} - b\right)}^{\frac{3}{4}} x - 4 \, b}{x^{4} - 4 \, a x^{2} + 4 \, b}\right)"," ",0,"-1/2*sqrt(2)*arctan(sqrt(2)*(a*x^2 - b)^(1/4)/x) + 1/4*sqrt(2)*log(-(x^4 - 2*sqrt(2)*(a*x^2 - b)^(1/4)*x^3 + 4*a*x^2 + 4*sqrt(a*x^2 - b)*x^2 - 4*sqrt(2)*(a*x^2 - b)^(3/4)*x - 4*b)/(x^4 - 4*a*x^2 + 4*b))","B",0
1000,1,444,0,1.176011," ","integrate((-a*b*x+x^3)/(x*(-a+x)*(-b+x))^(1/2)/(a^2*b^2-2*a*b*(a+b)*x+(a^2+4*a*b+b^2-d)*x^2-2*(a+b)*x^3+x^4),x, algorithm=""fricas"")","\frac{1}{d^{3}}^{\frac{1}{4}} \arctan\left(\frac{\sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} d \frac{1}{d^{3}}^{\frac{1}{4}}}{a b - {\left(a + b\right)} x + x^{2}}\right) - \frac{1}{4} \, \frac{1}{d^{3}}^{\frac{1}{4}} \log\left(\frac{a^{2} b^{2} - 2 \, {\left(a + b\right)} x^{3} + x^{4} + {\left(a^{2} + 4 \, a b + b^{2} + d\right)} x^{2} - 2 \, {\left(a^{2} b + a b^{2}\right)} x + 2 \, {\left(d^{3} \frac{1}{d^{3}}^{\frac{3}{4}} x + {\left(a b d - {\left(a + b\right)} d x + d x^{2}\right)} \frac{1}{d^{3}}^{\frac{1}{4}}\right)} \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} + 2 \, {\left(a b d^{2} x - {\left(a + b\right)} d^{2} x^{2} + d^{2} x^{3}\right)} \sqrt{\frac{1}{d^{3}}}}{a^{2} b^{2} - 2 \, {\left(a + b\right)} x^{3} + x^{4} + {\left(a^{2} + 4 \, a b + b^{2} - d\right)} x^{2} - 2 \, {\left(a^{2} b + a b^{2}\right)} x}\right) + \frac{1}{4} \, \frac{1}{d^{3}}^{\frac{1}{4}} \log\left(\frac{a^{2} b^{2} - 2 \, {\left(a + b\right)} x^{3} + x^{4} + {\left(a^{2} + 4 \, a b + b^{2} + d\right)} x^{2} - 2 \, {\left(a^{2} b + a b^{2}\right)} x - 2 \, {\left(d^{3} \frac{1}{d^{3}}^{\frac{3}{4}} x + {\left(a b d - {\left(a + b\right)} d x + d x^{2}\right)} \frac{1}{d^{3}}^{\frac{1}{4}}\right)} \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} + 2 \, {\left(a b d^{2} x - {\left(a + b\right)} d^{2} x^{2} + d^{2} x^{3}\right)} \sqrt{\frac{1}{d^{3}}}}{a^{2} b^{2} - 2 \, {\left(a + b\right)} x^{3} + x^{4} + {\left(a^{2} + 4 \, a b + b^{2} - d\right)} x^{2} - 2 \, {\left(a^{2} b + a b^{2}\right)} x}\right)"," ",0,"(d^(-3))^(1/4)*arctan(sqrt(a*b*x - (a + b)*x^2 + x^3)*d*(d^(-3))^(1/4)/(a*b - (a + b)*x + x^2)) - 1/4*(d^(-3))^(1/4)*log((a^2*b^2 - 2*(a + b)*x^3 + x^4 + (a^2 + 4*a*b + b^2 + d)*x^2 - 2*(a^2*b + a*b^2)*x + 2*(d^3*(d^(-3))^(3/4)*x + (a*b*d - (a + b)*d*x + d*x^2)*(d^(-3))^(1/4))*sqrt(a*b*x - (a + b)*x^2 + x^3) + 2*(a*b*d^2*x - (a + b)*d^2*x^2 + d^2*x^3)*sqrt(d^(-3)))/(a^2*b^2 - 2*(a + b)*x^3 + x^4 + (a^2 + 4*a*b + b^2 - d)*x^2 - 2*(a^2*b + a*b^2)*x)) + 1/4*(d^(-3))^(1/4)*log((a^2*b^2 - 2*(a + b)*x^3 + x^4 + (a^2 + 4*a*b + b^2 + d)*x^2 - 2*(a^2*b + a*b^2)*x - 2*(d^3*(d^(-3))^(3/4)*x + (a*b*d - (a + b)*d*x + d*x^2)*(d^(-3))^(1/4))*sqrt(a*b*x - (a + b)*x^2 + x^3) + 2*(a*b*d^2*x - (a + b)*d^2*x^2 + d^2*x^3)*sqrt(d^(-3)))/(a^2*b^2 - 2*(a + b)*x^3 + x^4 + (a^2 + 4*a*b + b^2 - d)*x^2 - 2*(a^2*b + a*b^2)*x))","B",0
1001,1,201,0,3.431213," ","integrate((-x^4-1)^(1/4)*(x^4-1)/x^6/(2*x^4+1),x, algorithm=""fricas"")","\frac{30 \, x^{5} \log\left(-\frac{2 \, {\left(2 \, {\left(-x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 2 \, \sqrt{-x^{4} - 1} x^{2} + 2 \, {\left(-x^{4} - 1\right)}^{\frac{3}{4}} x - 1\right)}}{2 \, x^{4} + 1}\right) - 15 i \, x^{5} \log\left(-\frac{2 \, {\left(2 i \, {\left(-x^{4} - 1\right)}^{\frac{1}{4}} x^{3} - 2 \, \sqrt{-x^{4} - 1} x^{2} - 2 i \, {\left(-x^{4} - 1\right)}^{\frac{3}{4}} x - 1\right)}}{2 \, x^{4} + 1}\right) + 15 i \, x^{5} \log\left(-\frac{2 \, {\left(-2 i \, {\left(-x^{4} - 1\right)}^{\frac{1}{4}} x^{3} - 2 \, \sqrt{-x^{4} - 1} x^{2} + 2 i \, {\left(-x^{4} - 1\right)}^{\frac{3}{4}} x - 1\right)}}{2 \, x^{4} + 1}\right) - 8 \, {\left(14 \, x^{4} - 1\right)} {\left(-x^{4} - 1\right)}^{\frac{1}{4}}}{40 \, x^{5}}"," ",0,"1/40*(30*x^5*log(-2*(2*(-x^4 - 1)^(1/4)*x^3 + 2*sqrt(-x^4 - 1)*x^2 + 2*(-x^4 - 1)^(3/4)*x - 1)/(2*x^4 + 1)) - 15*I*x^5*log(-2*(2*I*(-x^4 - 1)^(1/4)*x^3 - 2*sqrt(-x^4 - 1)*x^2 - 2*I*(-x^4 - 1)^(3/4)*x - 1)/(2*x^4 + 1)) + 15*I*x^5*log(-2*(-2*I*(-x^4 - 1)^(1/4)*x^3 - 2*sqrt(-x^4 - 1)*x^2 + 2*I*(-x^4 - 1)^(3/4)*x - 1)/(2*x^4 + 1)) - 8*(14*x^4 - 1)*(-x^4 - 1)^(1/4))/x^5","C",0
1002,1,434,0,1.953027," ","integrate((a*b*x-x^3)/(x*(-a+x)*(-b+x))^(1/2)/(a^2*b^2*d-2*a*b*(a+b)*d*x+(a^2*d+4*a*b*d+b^2*d-1)*x^2-2*(a+b)*d*x^3+d*x^4),x, algorithm=""fricas"")","-\frac{\arctan\left(\frac{\sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}}}{{\left(a b - {\left(a + b\right)} x + x^{2}\right)} d^{\frac{1}{4}}}\right)}{d^{\frac{1}{4}}} + \frac{\log\left(\frac{a^{2} b^{2} d - 2 \, {\left(a + b\right)} d x^{3} + d x^{4} - 2 \, {\left(a^{2} b + a b^{2}\right)} d x + {\left({\left(a^{2} + 4 \, a b + b^{2}\right)} d + 1\right)} x^{2} + 2 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left(d^{\frac{1}{4}} x + \frac{a b d - {\left(a + b\right)} d x + d x^{2}}{d^{\frac{1}{4}}}\right)} + \frac{2 \, {\left(a b d x - {\left(a + b\right)} d x^{2} + d x^{3}\right)}}{\sqrt{d}}}{a^{2} b^{2} d - 2 \, {\left(a + b\right)} d x^{3} + d x^{4} - 2 \, {\left(a^{2} b + a b^{2}\right)} d x + {\left({\left(a^{2} + 4 \, a b + b^{2}\right)} d - 1\right)} x^{2}}\right)}{4 \, d^{\frac{1}{4}}} - \frac{\log\left(\frac{a^{2} b^{2} d - 2 \, {\left(a + b\right)} d x^{3} + d x^{4} - 2 \, {\left(a^{2} b + a b^{2}\right)} d x + {\left({\left(a^{2} + 4 \, a b + b^{2}\right)} d + 1\right)} x^{2} - 2 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left(d^{\frac{1}{4}} x + \frac{a b d - {\left(a + b\right)} d x + d x^{2}}{d^{\frac{1}{4}}}\right)} + \frac{2 \, {\left(a b d x - {\left(a + b\right)} d x^{2} + d x^{3}\right)}}{\sqrt{d}}}{a^{2} b^{2} d - 2 \, {\left(a + b\right)} d x^{3} + d x^{4} - 2 \, {\left(a^{2} b + a b^{2}\right)} d x + {\left({\left(a^{2} + 4 \, a b + b^{2}\right)} d - 1\right)} x^{2}}\right)}{4 \, d^{\frac{1}{4}}}"," ",0,"-arctan(sqrt(a*b*x - (a + b)*x^2 + x^3)/((a*b - (a + b)*x + x^2)*d^(1/4)))/d^(1/4) + 1/4*log((a^2*b^2*d - 2*(a + b)*d*x^3 + d*x^4 - 2*(a^2*b + a*b^2)*d*x + ((a^2 + 4*a*b + b^2)*d + 1)*x^2 + 2*sqrt(a*b*x - (a + b)*x^2 + x^3)*(d^(1/4)*x + (a*b*d - (a + b)*d*x + d*x^2)/d^(1/4)) + 2*(a*b*d*x - (a + b)*d*x^2 + d*x^3)/sqrt(d))/(a^2*b^2*d - 2*(a + b)*d*x^3 + d*x^4 - 2*(a^2*b + a*b^2)*d*x + ((a^2 + 4*a*b + b^2)*d - 1)*x^2))/d^(1/4) - 1/4*log((a^2*b^2*d - 2*(a + b)*d*x^3 + d*x^4 - 2*(a^2*b + a*b^2)*d*x + ((a^2 + 4*a*b + b^2)*d + 1)*x^2 - 2*sqrt(a*b*x - (a + b)*x^2 + x^3)*(d^(1/4)*x + (a*b*d - (a + b)*d*x + d*x^2)/d^(1/4)) + 2*(a*b*d*x - (a + b)*d*x^2 + d*x^3)/sqrt(d))/(a^2*b^2*d - 2*(a + b)*d*x^3 + d*x^4 - 2*(a^2*b + a*b^2)*d*x + ((a^2 + 4*a*b + b^2)*d - 1)*x^2))/d^(1/4)","B",0
1003,1,433,0,1.889281," ","integrate((-a*b*x+x^3)/(x*(-a+x)*(-b+x))^(1/2)/(a^2*b^2*d-2*a*b*(a+b)*d*x+(a^2*d+4*a*b*d+b^2*d-1)*x^2-2*(a+b)*d*x^3+d*x^4),x, algorithm=""fricas"")","\frac{\arctan\left(\frac{\sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}}}{{\left(a b - {\left(a + b\right)} x + x^{2}\right)} d^{\frac{1}{4}}}\right)}{d^{\frac{1}{4}}} - \frac{\log\left(\frac{a^{2} b^{2} d - 2 \, {\left(a + b\right)} d x^{3} + d x^{4} - 2 \, {\left(a^{2} b + a b^{2}\right)} d x + {\left({\left(a^{2} + 4 \, a b + b^{2}\right)} d + 1\right)} x^{2} + 2 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left(d^{\frac{1}{4}} x + \frac{a b d - {\left(a + b\right)} d x + d x^{2}}{d^{\frac{1}{4}}}\right)} + \frac{2 \, {\left(a b d x - {\left(a + b\right)} d x^{2} + d x^{3}\right)}}{\sqrt{d}}}{a^{2} b^{2} d - 2 \, {\left(a + b\right)} d x^{3} + d x^{4} - 2 \, {\left(a^{2} b + a b^{2}\right)} d x + {\left({\left(a^{2} + 4 \, a b + b^{2}\right)} d - 1\right)} x^{2}}\right)}{4 \, d^{\frac{1}{4}}} + \frac{\log\left(\frac{a^{2} b^{2} d - 2 \, {\left(a + b\right)} d x^{3} + d x^{4} - 2 \, {\left(a^{2} b + a b^{2}\right)} d x + {\left({\left(a^{2} + 4 \, a b + b^{2}\right)} d + 1\right)} x^{2} - 2 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left(d^{\frac{1}{4}} x + \frac{a b d - {\left(a + b\right)} d x + d x^{2}}{d^{\frac{1}{4}}}\right)} + \frac{2 \, {\left(a b d x - {\left(a + b\right)} d x^{2} + d x^{3}\right)}}{\sqrt{d}}}{a^{2} b^{2} d - 2 \, {\left(a + b\right)} d x^{3} + d x^{4} - 2 \, {\left(a^{2} b + a b^{2}\right)} d x + {\left({\left(a^{2} + 4 \, a b + b^{2}\right)} d - 1\right)} x^{2}}\right)}{4 \, d^{\frac{1}{4}}}"," ",0,"arctan(sqrt(a*b*x - (a + b)*x^2 + x^3)/((a*b - (a + b)*x + x^2)*d^(1/4)))/d^(1/4) - 1/4*log((a^2*b^2*d - 2*(a + b)*d*x^3 + d*x^4 - 2*(a^2*b + a*b^2)*d*x + ((a^2 + 4*a*b + b^2)*d + 1)*x^2 + 2*sqrt(a*b*x - (a + b)*x^2 + x^3)*(d^(1/4)*x + (a*b*d - (a + b)*d*x + d*x^2)/d^(1/4)) + 2*(a*b*d*x - (a + b)*d*x^2 + d*x^3)/sqrt(d))/(a^2*b^2*d - 2*(a + b)*d*x^3 + d*x^4 - 2*(a^2*b + a*b^2)*d*x + ((a^2 + 4*a*b + b^2)*d - 1)*x^2))/d^(1/4) + 1/4*log((a^2*b^2*d - 2*(a + b)*d*x^3 + d*x^4 - 2*(a^2*b + a*b^2)*d*x + ((a^2 + 4*a*b + b^2)*d + 1)*x^2 - 2*sqrt(a*b*x - (a + b)*x^2 + x^3)*(d^(1/4)*x + (a*b*d - (a + b)*d*x + d*x^2)/d^(1/4)) + 2*(a*b*d*x - (a + b)*d*x^2 + d*x^3)/sqrt(d))/(a^2*b^2*d - 2*(a + b)*d*x^3 + d*x^4 - 2*(a^2*b + a*b^2)*d*x + ((a^2 + 4*a*b + b^2)*d - 1)*x^2))/d^(1/4)","B",0
1004,1,58,0,0.454394," ","integrate(1/x/(x^6-1)^(1/3),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) + \frac{1}{12} \, \log\left({\left(x^{6} - 1\right)}^{\frac{2}{3}} - {\left(x^{6} - 1\right)}^{\frac{1}{3}} + 1\right) - \frac{1}{6} \, \log\left({\left(x^{6} - 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"1/6*sqrt(3)*arctan(2/3*sqrt(3)*(x^6 - 1)^(1/3) - 1/3*sqrt(3)) + 1/12*log((x^6 - 1)^(2/3) - (x^6 - 1)^(1/3) + 1) - 1/6*log((x^6 - 1)^(1/3) + 1)","A",0
1005,-2,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(2*x^6+x^3+2)/x^6/(x^6+x^3+1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1006,-2,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(2*x^6+x^3+2)/x^6/(x^6+x^3+1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1007,1,114,0,0.599526," ","integrate((x^4-1)*(x^4-x^2+1)*(4*x^4-x^2+4)^(1/2)/(x^4+1)/(4*x^8+7*x^4+4),x, algorithm=""fricas"")","-\frac{3}{8} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} \sqrt{4 \, x^{4} - x^{2} + 4} x}{2 \, {\left(x^{4} - x^{2} + 1\right)}}\right) + \frac{1}{2} \, \arctan\left(\frac{\sqrt{4 \, x^{4} - x^{2} + 4} x}{2 \, x^{4} - x^{2} + 2}\right) + \frac{1}{8} \, \log\left(-\frac{2 \, x^{4} + \sqrt{4 \, x^{4} - x^{2} + 4} x + 2}{2 \, x^{4} - x^{2} + 2}\right)"," ",0,"-3/8*sqrt(3)*arctan(1/2*sqrt(3)*sqrt(4*x^4 - x^2 + 4)*x/(x^4 - x^2 + 1)) + 1/2*arctan(sqrt(4*x^4 - x^2 + 4)*x/(2*x^4 - x^2 + 2)) + 1/8*log(-(2*x^4 + sqrt(4*x^4 - x^2 + 4)*x + 2)/(2*x^4 - x^2 + 2))","A",0
1008,1,64,0,0.425325," ","integrate((-3*x^10+x^9-9*x^7+3*x^6-9*x^4+3*x^3-3*x+1)^(1/3),x, algorithm=""fricas"")","\frac{{\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} {\left(210 \, x^{4} - 7 \, x^{3} - 3 \, x^{2} + 681 \, x - 229\right)}}{910 \, {\left(x^{3} + 1\right)}}"," ",0,"1/910*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3)*(210*x^4 - 7*x^3 - 3*x^2 + 681*x - 229)/(x^3 + 1)","A",0
1009,-1,0,0,0.000000," ","integrate(x*(-b+x)*(a*b-2*a*x+x^2)/(-a+x)/(x*(-a+x)*(-b+x))^(1/2)/(a*d+(-b-d)*x+x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1010,1,174,0,0.541242," ","integrate((k^2*x^2+1)/((1-x)*x*(-k^2*x+1))^(1/2)/(k^2*x^2-1),x, algorithm=""fricas"")","\frac{{\left(k - 1\right)} \arctan\left(\frac{\sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 2 \, {\left(k^{2} + k + 1\right)} x + 1\right)}}{2 \, {\left({\left(k^{3} + k^{2}\right)} x^{3} - {\left(k^{3} + k^{2} + k + 1\right)} x^{2} + {\left(k + 1\right)} x\right)}}\right) + {\left(k + 1\right)} \arctan\left(\frac{\sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 2 \, {\left(k^{2} - k + 1\right)} x + 1\right)}}{2 \, {\left({\left(k^{3} - k^{2}\right)} x^{3} - {\left(k^{3} - k^{2} + k - 1\right)} x^{2} + {\left(k - 1\right)} x\right)}}\right)}{2 \, {\left(k^{2} - 1\right)}}"," ",0,"1/2*((k - 1)*arctan(1/2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 2*(k^2 + k + 1)*x + 1)/((k^3 + k^2)*x^3 - (k^3 + k^2 + k + 1)*x^2 + (k + 1)*x)) + (k + 1)*arctan(1/2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 2*(k^2 - k + 1)*x + 1)/((k^3 - k^2)*x^3 - (k^3 - k^2 + k - 1)*x^2 + (k - 1)*x)))/(k^2 - 1)","B",0
1011,1,76,0,0.522239," ","integrate(1/(x^3+1)^(1/3),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{3 \, x}\right) - \frac{1}{3} \, \log\left(-\frac{x - {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{6} \, \log\left(\frac{x^{2} + {\left(x^{3} + 1\right)}^{\frac{1}{3}} x + {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + 1)^(1/3))/x) - 1/3*log(-(x - (x^3 + 1)^(1/3))/x) + 1/6*log((x^2 + (x^3 + 1)^(1/3)*x + (x^3 + 1)^(2/3))/x^2)","A",0
1012,1,126,0,0.699953," ","integrate((x^2+x)/(x^2-2*x-1)/(x^3-x)^(1/2),x, algorithm=""fricas"")","\frac{1}{8} \, \sqrt{2} \log\left(\frac{x^{4} + 12 \, x^{3} - 4 \, \sqrt{2} \sqrt{x^{3} - x} {\left(x^{2} + 2 \, x - 1\right)} + 2 \, x^{2} - 12 \, x + 1}{x^{4} - 4 \, x^{3} + 2 \, x^{2} + 4 \, x + 1}\right) + \frac{1}{4} \, \log\left(\frac{x^{4} + 4 \, x^{3} + 2 \, x^{2} - 4 \, \sqrt{x^{3} - x} {\left(x^{2} + 1\right)} - 4 \, x + 1}{x^{4} - 4 \, x^{3} + 2 \, x^{2} + 4 \, x + 1}\right)"," ",0,"1/8*sqrt(2)*log((x^4 + 12*x^3 - 4*sqrt(2)*sqrt(x^3 - x)*(x^2 + 2*x - 1) + 2*x^2 - 12*x + 1)/(x^4 - 4*x^3 + 2*x^2 + 4*x + 1)) + 1/4*log((x^4 + 4*x^3 + 2*x^2 - 4*sqrt(x^3 - x)*(x^2 + 1) - 4*x + 1)/(x^4 - 4*x^3 + 2*x^2 + 4*x + 1))","B",0
1013,-1,0,0,0.000000," ","integrate(x^2*(3*a*b-2*(a+b)*x+x^2)/(x*(-a+x)*(-b+x))^(3/4)/(-a*b+(a+b)*x-x^2+d*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1014,1,155,0,0.515365," ","integrate(1/x/(x^4-1)^(1/4),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{4} - 1} + 1} - \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} - 1\right) - \frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{4} - 1} + 4} - \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + 1\right) - \frac{1}{8} \, \sqrt{2} \log\left(4 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{4} - 1} + 4\right) + \frac{1}{8} \, \sqrt{2} \log\left(-4 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{4} - 1} + 4\right)"," ",0,"-1/2*sqrt(2)*arctan(sqrt(2)*sqrt(sqrt(2)*(x^4 - 1)^(1/4) + sqrt(x^4 - 1) + 1) - sqrt(2)*(x^4 - 1)^(1/4) - 1) - 1/2*sqrt(2)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*(x^4 - 1)^(1/4) + 4*sqrt(x^4 - 1) + 4) - sqrt(2)*(x^4 - 1)^(1/4) + 1) - 1/8*sqrt(2)*log(4*sqrt(2)*(x^4 - 1)^(1/4) + 4*sqrt(x^4 - 1) + 4) + 1/8*sqrt(2)*log(-4*sqrt(2)*(x^4 - 1)^(1/4) + 4*sqrt(x^4 - 1) + 4)","B",0
1015,1,406,0,0.854646," ","integrate((-a+x)*(-b+x)*(-a*b+x^2)/(x*(-a+x)*(-b+x))^(1/2)/(a^2*b^2-2*a*b*(a+b)*x+(a^2+4*a*b+b^2-d)*x^2-2*(a+b)*x^3+x^4),x, algorithm=""fricas"")","-\frac{\arctan\left(\frac{\sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} d^{\frac{1}{4}}}{a b - {\left(a + b\right)} x + x^{2}}\right)}{d^{\frac{1}{4}}} - \frac{\log\left(\frac{a^{2} b^{2} - 2 \, {\left(a + b\right)} x^{3} + x^{4} + {\left(a^{2} + 4 \, a b + b^{2} + d\right)} x^{2} - 2 \, {\left(a^{2} b + a b^{2}\right)} x + 2 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left(d^{\frac{3}{4}} x + \frac{a b d - {\left(a + b\right)} d x + d x^{2}}{d^{\frac{3}{4}}}\right)} + \frac{2 \, {\left(a b d x - {\left(a + b\right)} d x^{2} + d x^{3}\right)}}{\sqrt{d}}}{a^{2} b^{2} - 2 \, {\left(a + b\right)} x^{3} + x^{4} + {\left(a^{2} + 4 \, a b + b^{2} - d\right)} x^{2} - 2 \, {\left(a^{2} b + a b^{2}\right)} x}\right)}{4 \, d^{\frac{1}{4}}} + \frac{\log\left(\frac{a^{2} b^{2} - 2 \, {\left(a + b\right)} x^{3} + x^{4} + {\left(a^{2} + 4 \, a b + b^{2} + d\right)} x^{2} - 2 \, {\left(a^{2} b + a b^{2}\right)} x - 2 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left(d^{\frac{3}{4}} x + \frac{a b d - {\left(a + b\right)} d x + d x^{2}}{d^{\frac{3}{4}}}\right)} + \frac{2 \, {\left(a b d x - {\left(a + b\right)} d x^{2} + d x^{3}\right)}}{\sqrt{d}}}{a^{2} b^{2} - 2 \, {\left(a + b\right)} x^{3} + x^{4} + {\left(a^{2} + 4 \, a b + b^{2} - d\right)} x^{2} - 2 \, {\left(a^{2} b + a b^{2}\right)} x}\right)}{4 \, d^{\frac{1}{4}}}"," ",0,"-arctan(sqrt(a*b*x - (a + b)*x^2 + x^3)*d^(1/4)/(a*b - (a + b)*x + x^2))/d^(1/4) - 1/4*log((a^2*b^2 - 2*(a + b)*x^3 + x^4 + (a^2 + 4*a*b + b^2 + d)*x^2 - 2*(a^2*b + a*b^2)*x + 2*sqrt(a*b*x - (a + b)*x^2 + x^3)*(d^(3/4)*x + (a*b*d - (a + b)*d*x + d*x^2)/d^(3/4)) + 2*(a*b*d*x - (a + b)*d*x^2 + d*x^3)/sqrt(d))/(a^2*b^2 - 2*(a + b)*x^3 + x^4 + (a^2 + 4*a*b + b^2 - d)*x^2 - 2*(a^2*b + a*b^2)*x))/d^(1/4) + 1/4*log((a^2*b^2 - 2*(a + b)*x^3 + x^4 + (a^2 + 4*a*b + b^2 + d)*x^2 - 2*(a^2*b + a*b^2)*x - 2*sqrt(a*b*x - (a + b)*x^2 + x^3)*(d^(3/4)*x + (a*b*d - (a + b)*d*x + d*x^2)/d^(3/4)) + 2*(a*b*d*x - (a + b)*d*x^2 + d*x^3)/sqrt(d))/(a^2*b^2 - 2*(a + b)*x^3 + x^4 + (a^2 + 4*a*b + b^2 - d)*x^2 - 2*(a^2*b + a*b^2)*x))/d^(1/4)","B",0
1016,1,192,0,0.495777," ","integrate(x^2*(a*x^4-b)/(a*x^4+b)^(3/4),x, algorithm=""fricas"")","\frac{1}{4} \, {\left(a x^{4} + b\right)}^{\frac{1}{4}} x^{3} + \frac{7}{4} \, \left(\frac{b^{4}}{a^{3}}\right)^{\frac{1}{4}} \arctan\left(\frac{a^{2} \left(\frac{b^{4}}{a^{3}}\right)^{\frac{3}{4}} x \sqrt{\frac{a^{2} \sqrt{\frac{b^{4}}{a^{3}}} x^{2} + \sqrt{a x^{4} + b} b^{2}}{x^{2}}} - {\left(a x^{4} + b\right)}^{\frac{1}{4}} a^{2} b \left(\frac{b^{4}}{a^{3}}\right)^{\frac{3}{4}}}{b^{4} x}\right) - \frac{7}{16} \, \left(\frac{b^{4}}{a^{3}}\right)^{\frac{1}{4}} \log\left(\frac{7 \, {\left(a \left(\frac{b^{4}}{a^{3}}\right)^{\frac{1}{4}} x + {\left(a x^{4} + b\right)}^{\frac{1}{4}} b\right)}}{x}\right) + \frac{7}{16} \, \left(\frac{b^{4}}{a^{3}}\right)^{\frac{1}{4}} \log\left(-\frac{7 \, {\left(a \left(\frac{b^{4}}{a^{3}}\right)^{\frac{1}{4}} x - {\left(a x^{4} + b\right)}^{\frac{1}{4}} b\right)}}{x}\right)"," ",0,"1/4*(a*x^4 + b)^(1/4)*x^3 + 7/4*(b^4/a^3)^(1/4)*arctan((a^2*(b^4/a^3)^(3/4)*x*sqrt((a^2*sqrt(b^4/a^3)*x^2 + sqrt(a*x^4 + b)*b^2)/x^2) - (a*x^4 + b)^(1/4)*a^2*b*(b^4/a^3)^(3/4))/(b^4*x)) - 7/16*(b^4/a^3)^(1/4)*log(7*(a*(b^4/a^3)^(1/4)*x + (a*x^4 + b)^(1/4)*b)/x) + 7/16*(b^4/a^3)^(1/4)*log(-7*(a*(b^4/a^3)^(1/4)*x - (a*x^4 + b)^(1/4)*b)/x)","B",0
1017,-1,0,0,0.000000," ","integrate(1/(a*x^4+b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1018,1,483,0,1.467388," ","integrate((-a+x)*(-b+x)*(-a*b+x^2)/(x*(-a+x)*(-b+x))^(1/2)/(a^2*b^2*d-2*a*b*(a+b)*d*x+(a^2*d+4*a*b*d+b^2*d-1)*x^2-2*(a+b)*d*x^3+d*x^4),x, algorithm=""fricas"")","-\frac{1}{d^{3}}^{\frac{1}{4}} \arctan\left(\frac{\sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} d^{2} \frac{1}{d^{3}}^{\frac{3}{4}}}{a b - {\left(a + b\right)} x + x^{2}}\right) - \frac{1}{4} \, \frac{1}{d^{3}}^{\frac{1}{4}} \log\left(\frac{a^{2} b^{2} d - 2 \, {\left(a + b\right)} d x^{3} + d x^{4} - 2 \, {\left(a^{2} b + a b^{2}\right)} d x + {\left({\left(a^{2} + 4 \, a b + b^{2}\right)} d + 1\right)} x^{2} + 2 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left(d \frac{1}{d^{3}}^{\frac{1}{4}} x + {\left(a b d^{3} - {\left(a + b\right)} d^{3} x + d^{3} x^{2}\right)} \frac{1}{d^{3}}^{\frac{3}{4}}\right)} + 2 \, {\left(a b d^{2} x - {\left(a + b\right)} d^{2} x^{2} + d^{2} x^{3}\right)} \sqrt{\frac{1}{d^{3}}}}{a^{2} b^{2} d - 2 \, {\left(a + b\right)} d x^{3} + d x^{4} - 2 \, {\left(a^{2} b + a b^{2}\right)} d x + {\left({\left(a^{2} + 4 \, a b + b^{2}\right)} d - 1\right)} x^{2}}\right) + \frac{1}{4} \, \frac{1}{d^{3}}^{\frac{1}{4}} \log\left(\frac{a^{2} b^{2} d - 2 \, {\left(a + b\right)} d x^{3} + d x^{4} - 2 \, {\left(a^{2} b + a b^{2}\right)} d x + {\left({\left(a^{2} + 4 \, a b + b^{2}\right)} d + 1\right)} x^{2} - 2 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left(d \frac{1}{d^{3}}^{\frac{1}{4}} x + {\left(a b d^{3} - {\left(a + b\right)} d^{3} x + d^{3} x^{2}\right)} \frac{1}{d^{3}}^{\frac{3}{4}}\right)} + 2 \, {\left(a b d^{2} x - {\left(a + b\right)} d^{2} x^{2} + d^{2} x^{3}\right)} \sqrt{\frac{1}{d^{3}}}}{a^{2} b^{2} d - 2 \, {\left(a + b\right)} d x^{3} + d x^{4} - 2 \, {\left(a^{2} b + a b^{2}\right)} d x + {\left({\left(a^{2} + 4 \, a b + b^{2}\right)} d - 1\right)} x^{2}}\right)"," ",0,"-(d^(-3))^(1/4)*arctan(sqrt(a*b*x - (a + b)*x^2 + x^3)*d^2*(d^(-3))^(3/4)/(a*b - (a + b)*x + x^2)) - 1/4*(d^(-3))^(1/4)*log((a^2*b^2*d - 2*(a + b)*d*x^3 + d*x^4 - 2*(a^2*b + a*b^2)*d*x + ((a^2 + 4*a*b + b^2)*d + 1)*x^2 + 2*sqrt(a*b*x - (a + b)*x^2 + x^3)*(d*(d^(-3))^(1/4)*x + (a*b*d^3 - (a + b)*d^3*x + d^3*x^2)*(d^(-3))^(3/4)) + 2*(a*b*d^2*x - (a + b)*d^2*x^2 + d^2*x^3)*sqrt(d^(-3)))/(a^2*b^2*d - 2*(a + b)*d*x^3 + d*x^4 - 2*(a^2*b + a*b^2)*d*x + ((a^2 + 4*a*b + b^2)*d - 1)*x^2)) + 1/4*(d^(-3))^(1/4)*log((a^2*b^2*d - 2*(a + b)*d*x^3 + d*x^4 - 2*(a^2*b + a*b^2)*d*x + ((a^2 + 4*a*b + b^2)*d + 1)*x^2 - 2*sqrt(a*b*x - (a + b)*x^2 + x^3)*(d*(d^(-3))^(1/4)*x + (a*b*d^3 - (a + b)*d^3*x + d^3*x^2)*(d^(-3))^(3/4)) + 2*(a*b*d^2*x - (a + b)*d^2*x^2 + d^2*x^3)*sqrt(d^(-3)))/(a^2*b^2*d - 2*(a + b)*d*x^3 + d*x^4 - 2*(a^2*b + a*b^2)*d*x + ((a^2 + 4*a*b + b^2)*d - 1)*x^2))","B",0
1019,1,155,0,0.732495," ","integrate(1/x/(x^6-1)^(1/4),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{2} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} {\left(x^{6} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{6} - 1} + 1} - \sqrt{2} {\left(x^{6} - 1\right)}^{\frac{1}{4}} - 1\right) - \frac{1}{3} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} {\left(x^{6} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{6} - 1} + 4} - \sqrt{2} {\left(x^{6} - 1\right)}^{\frac{1}{4}} + 1\right) - \frac{1}{12} \, \sqrt{2} \log\left(4 \, \sqrt{2} {\left(x^{6} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{6} - 1} + 4\right) + \frac{1}{12} \, \sqrt{2} \log\left(-4 \, \sqrt{2} {\left(x^{6} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{6} - 1} + 4\right)"," ",0,"-1/3*sqrt(2)*arctan(sqrt(2)*sqrt(sqrt(2)*(x^6 - 1)^(1/4) + sqrt(x^6 - 1) + 1) - sqrt(2)*(x^6 - 1)^(1/4) - 1) - 1/3*sqrt(2)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*(x^6 - 1)^(1/4) + 4*sqrt(x^6 - 1) + 4) - sqrt(2)*(x^6 - 1)^(1/4) + 1) - 1/12*sqrt(2)*log(4*sqrt(2)*(x^6 - 1)^(1/4) + 4*sqrt(x^6 - 1) + 4) + 1/12*sqrt(2)*log(-4*sqrt(2)*(x^6 - 1)^(1/4) + 4*sqrt(x^6 - 1) + 4)","B",0
1020,-2,0,0,0.000000," ","integrate(1/(a*x^3-b*x)^(1/3)/(c*x^6+d),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1021,-2,0,0,0.000000," ","integrate(1/(a*x^3-b*x)^(1/3)/(c*x^6+d),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1022,1,73,0,0.557459," ","integrate((x^2-1)*(-1+x*(-x^4+3*x^2-1)^(1/2)),x, algorithm=""fricas"")","-\frac{1}{3} \, x^{3} + \frac{1}{48} \, {\left(8 \, x^{4} - 18 \, x^{2} - 1\right)} \sqrt{-x^{4} + 3 \, x^{2} - 1} + x - \frac{5}{32} \, \arctan\left(\frac{\sqrt{-x^{4} + 3 \, x^{2} - 1} {\left(2 \, x^{2} - 3\right)}}{2 \, {\left(x^{4} - 3 \, x^{2} + 1\right)}}\right)"," ",0,"-1/3*x^3 + 1/48*(8*x^4 - 18*x^2 - 1)*sqrt(-x^4 + 3*x^2 - 1) + x - 5/32*arctan(1/2*sqrt(-x^4 + 3*x^2 - 1)*(2*x^2 - 3)/(x^4 - 3*x^2 + 1))","A",0
1023,1,2495,0,1.418316," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} \log\left({\left(4 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} + 2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} - {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 4 i \, \sqrt{2} - 4 \, \sqrt{4 i \, \sqrt{2} - 2} - 6\right)} \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(-{\left(4 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} + 2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} - {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 4 i \, \sqrt{2} - 4 \, \sqrt{4 i \, \sqrt{2} - 2} - 6\right)} \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} \log\left({\left(4 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} + 2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 i \, \sqrt{2} - 3 \, \sqrt{4 i \, \sqrt{2} - 2} - 10\right)} \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} \log\left(-{\left(4 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} + 2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 i \, \sqrt{2} - 3 \, \sqrt{4 i \, \sqrt{2} - 2} - 10\right)} \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(\frac{1}{2} \, {\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} - 2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 2\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(-\frac{1}{2} \, {\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} - 2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 2\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(\frac{1}{2} \, {\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} - 2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} + \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 2\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(-\frac{1}{2} \, {\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} - 2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} + \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 2\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right)"," ",0,"-sqrt(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))*log((4*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 + 2*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1) - (2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 4*I*sqrt(2) - 4*sqrt(4*I*sqrt(2) - 2) - 6)*sqrt(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))*log(-(4*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 + 2*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1) - (2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 4*I*sqrt(2) - 4*sqrt(4*I*sqrt(2) - 2) - 6)*sqrt(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))*log((4*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 + 2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*I*sqrt(2) - 3*sqrt(4*I*sqrt(2) - 2) - 10)*sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))*log(-(4*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 + 2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*I*sqrt(2) - 3*sqrt(4*I*sqrt(2) - 2) - 10)*sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(1/2*(2*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1) - 2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - (2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8)*((-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 2) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 4)*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(-1/2*(2*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1) - 2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - (2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8)*((-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 2) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 4)*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(1/2*(2*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1) - 2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - (2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) + sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8)*((-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 2) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 4)*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(-1/2*(2*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1) - 2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - (2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) + sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8)*((-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 2) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 4)*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))","B",0
1024,1,2495,0,1.475032," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} \log\left({\left(4 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} + 2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} - {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 4 i \, \sqrt{2} - 4 \, \sqrt{4 i \, \sqrt{2} - 2} - 6\right)} \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(-{\left(4 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} + 2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} - {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 4 i \, \sqrt{2} - 4 \, \sqrt{4 i \, \sqrt{2} - 2} - 6\right)} \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} \log\left({\left(4 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} + 2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 i \, \sqrt{2} - 3 \, \sqrt{4 i \, \sqrt{2} - 2} - 10\right)} \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} \log\left(-{\left(4 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} + 2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 i \, \sqrt{2} - 3 \, \sqrt{4 i \, \sqrt{2} - 2} - 10\right)} \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(\frac{1}{2} \, {\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} - 2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 2\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(-\frac{1}{2} \, {\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} - 2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 2\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(\frac{1}{2} \, {\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} - 2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} + \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 2\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(-\frac{1}{2} \, {\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} - 2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} + \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 2\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right)"," ",0,"-sqrt(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))*log((4*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 + 2*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1) - (2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 4*I*sqrt(2) - 4*sqrt(4*I*sqrt(2) - 2) - 6)*sqrt(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))*log(-(4*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 + 2*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1) - (2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 4*I*sqrt(2) - 4*sqrt(4*I*sqrt(2) - 2) - 6)*sqrt(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))*log((4*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 + 2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*I*sqrt(2) - 3*sqrt(4*I*sqrt(2) - 2) - 10)*sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))*log(-(4*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 + 2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*I*sqrt(2) - 3*sqrt(4*I*sqrt(2) - 2) - 10)*sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(1/2*(2*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1) - 2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - (2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8)*((-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 2) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 4)*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(-1/2*(2*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1) - 2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - (2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8)*((-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 2) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 4)*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(1/2*(2*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1) - 2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - (2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) + sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8)*((-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 2) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 4)*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(-1/2*(2*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1) - 2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - (2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) + sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8)*((-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 2) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 4)*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))","B",0
1025,1,202,0,0.646066," ","integrate((c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2)/(a^2*x^2+b)^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(\sqrt{c} \log\left(2 \, {\left(a \sqrt{c} x - \sqrt{a^{2} x^{2} + b} \sqrt{c}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}} - 2 \, {\left(a c x - \sqrt{a^{2} x^{2} + b} c\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} + b\right) + 2 \, \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}\right)}}{a}, \frac{4 \, {\left(\sqrt{-c} \arctan\left(\frac{\sqrt{-c} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{c}\right) + \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}\right)}}{a}\right]"," ",0,"[2*(sqrt(c)*log(2*(a*sqrt(c)*x - sqrt(a^2*x^2 + b)*sqrt(c))*sqrt(a*x + sqrt(a^2*x^2 + b))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b))) - 2*(a*c*x - sqrt(a^2*x^2 + b)*c)*sqrt(a*x + sqrt(a^2*x^2 + b)) + b) + 2*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b))))/a, 4*(sqrt(-c)*arctan(sqrt(-c)*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))/c) + sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b))))/a]","A",0
1026,1,89,0,0.537436," ","integrate((x^2-1)^(1/2)/(-I+x)^2,x, algorithm=""fricas"")","-\frac{\sqrt{2} {\left(x - i\right)} \log\left(-x + i \, \sqrt{2} + \sqrt{x^{2} - 1} + i\right) - \sqrt{2} {\left(x - i\right)} \log\left(-x - i \, \sqrt{2} + \sqrt{x^{2} - 1} + i\right) + 2 \, {\left(x - i\right)} \log\left(-x + \sqrt{x^{2} - 1}\right) + 2 \, x + 2 \, \sqrt{x^{2} - 1} - 2 i}{2 \, {\left(x - i\right)}}"," ",0,"-1/2*(sqrt(2)*(x - I)*log(-x + I*sqrt(2) + sqrt(x^2 - 1) + I) - sqrt(2)*(x - I)*log(-x - I*sqrt(2) + sqrt(x^2 - 1) + I) + 2*(x - I)*log(-x + sqrt(x^2 - 1)) + 2*x + 2*sqrt(x^2 - 1) - 2*I)/(x - I)","A",0
1027,1,194,0,0.529305," ","integrate(1/x^3/(a*x^2+b)^(3/4),x, algorithm=""fricas"")","-\frac{12 \, b x^{2} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{2} + b\right)}^{\frac{1}{4}} a b^{5} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{3}{4}} - \sqrt{b^{4} \sqrt{\frac{a^{4}}{b^{7}}} + \sqrt{a x^{2} + b} a^{2}} b^{5} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{3}{4}}}{a^{4}}\right) - 3 \, b x^{2} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \log\left(3 \, b^{2} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} + 3 \, {\left(a x^{2} + b\right)}^{\frac{1}{4}} a\right) + 3 \, b x^{2} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \log\left(-3 \, b^{2} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} + 3 \, {\left(a x^{2} + b\right)}^{\frac{1}{4}} a\right) + 4 \, {\left(a x^{2} + b\right)}^{\frac{1}{4}}}{8 \, b x^{2}}"," ",0,"-1/8*(12*b*x^2*(a^4/b^7)^(1/4)*arctan(-((a*x^2 + b)^(1/4)*a*b^5*(a^4/b^7)^(3/4) - sqrt(b^4*sqrt(a^4/b^7) + sqrt(a*x^2 + b)*a^2)*b^5*(a^4/b^7)^(3/4))/a^4) - 3*b*x^2*(a^4/b^7)^(1/4)*log(3*b^2*(a^4/b^7)^(1/4) + 3*(a*x^2 + b)^(1/4)*a) + 3*b*x^2*(a^4/b^7)^(1/4)*log(-3*b^2*(a^4/b^7)^(1/4) + 3*(a*x^2 + b)^(1/4)*a) + 4*(a*x^2 + b)^(1/4))/(b*x^2)","B",0
1028,1,87,0,0.489470," ","integrate((3*x^3+x^2-2*x-1)^4/(x^3-3*x^2+3*x-1)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(1949108765175 \, x^{12} + 4908866519700 \, x^{11} + 609206533650 \, x^{10} - 9283999210200 \, x^{9} - 8805988591725 \, x^{8} + 3131067556500 \, x^{7} + 9260757242646 \, x^{6} + 4070651298324 \, x^{5} - 2008108342110 \, x^{4} - 2834315032620 \, x^{3} - 1158885626660 \, x^{2} + 32327777464 \, x + 1308401597431\right)} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{3}{4}}}{1179090487575 \, {\left(x^{2} - 2 \, x + 1\right)}}"," ",0,"4/1179090487575*(1949108765175*x^12 + 4908866519700*x^11 + 609206533650*x^10 - 9283999210200*x^9 - 8805988591725*x^8 + 3131067556500*x^7 + 9260757242646*x^6 + 4070651298324*x^5 - 2008108342110*x^4 - 2834315032620*x^3 - 1158885626660*x^2 + 32327777464*x + 1308401597431)*(x^3 - 3*x^2 + 3*x - 1)^(3/4)/(x^2 - 2*x + 1)","A",0
1029,1,191,0,0.518741," ","integrate(1/x^4/(a*x^3+b)^(3/4),x, algorithm=""fricas"")","-\frac{12 \, b x^{3} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{3} + b\right)}^{\frac{1}{4}} a b^{5} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{3}{4}} - \sqrt{b^{4} \sqrt{\frac{a^{4}}{b^{7}}} + \sqrt{a x^{3} + b} a^{2}} b^{5} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{3}{4}}}{a^{4}}\right) - 3 \, b x^{3} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \log\left(b^{2} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} + {\left(a x^{3} + b\right)}^{\frac{1}{4}} a\right) + 3 \, b x^{3} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \log\left(-b^{2} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} + {\left(a x^{3} + b\right)}^{\frac{1}{4}} a\right) + 4 \, {\left(a x^{3} + b\right)}^{\frac{1}{4}}}{12 \, b x^{3}}"," ",0,"-1/12*(12*b*x^3*(a^4/b^7)^(1/4)*arctan(-((a*x^3 + b)^(1/4)*a*b^5*(a^4/b^7)^(3/4) - sqrt(b^4*sqrt(a^4/b^7) + sqrt(a*x^3 + b)*a^2)*b^5*(a^4/b^7)^(3/4))/a^4) - 3*b*x^3*(a^4/b^7)^(1/4)*log(b^2*(a^4/b^7)^(1/4) + (a*x^3 + b)^(1/4)*a) + 3*b*x^3*(a^4/b^7)^(1/4)*log(-b^2*(a^4/b^7)^(1/4) + (a*x^3 + b)^(1/4)*a) + 4*(a*x^3 + b)^(1/4))/(b*x^3)","B",0
1030,1,72,0,0.545725," ","integrate(x/(x^4+10*x^2-96*x-71)^(1/2),x, algorithm=""fricas"")","\frac{1}{8} \, \log\left(x^{8} + 20 \, x^{6} - 128 \, x^{5} + 54 \, x^{4} - 1408 \, x^{3} + 3124 \, x^{2} + {\left(x^{6} + 15 \, x^{4} - 80 \, x^{3} + 27 \, x^{2} - 528 \, x + 781\right)} \sqrt{x^{4} + 10 \, x^{2} - 96 \, x - 71} + 10001\right)"," ",0,"1/8*log(x^8 + 20*x^6 - 128*x^5 + 54*x^4 - 1408*x^3 + 3124*x^2 + (x^6 + 15*x^4 - 80*x^3 + 27*x^2 - 528*x + 781)*sqrt(x^4 + 10*x^2 - 96*x - 71) + 10001)","A",0
1031,1,287,0,14.978491," ","integrate((8+3*x)*(2*x^4-x-2)^(1/4)/x^2/(x^4+x+2),x, algorithm=""fricas"")","\frac{4 \cdot 3^{\frac{1}{4}} x \arctan\left(\frac{6 \cdot 3^{\frac{3}{4}} {\left(2 \, x^{4} - x - 2\right)}^{\frac{1}{4}} x^{3} + 6 \cdot 3^{\frac{1}{4}} {\left(2 \, x^{4} - x - 2\right)}^{\frac{3}{4}} x + 3^{\frac{3}{4}} {\left(2 \cdot 3^{\frac{3}{4}} \sqrt{2 \, x^{4} - x - 2} x^{2} + 3^{\frac{1}{4}} {\left(5 \, x^{4} - x - 2\right)}\right)}}{3 \, {\left(x^{4} + x + 2\right)}}\right) + 3^{\frac{1}{4}} x \log\left(\frac{6 \, \sqrt{3} {\left(2 \, x^{4} - x - 2\right)}^{\frac{1}{4}} x^{3} + 6 \cdot 3^{\frac{1}{4}} \sqrt{2 \, x^{4} - x - 2} x^{2} + 3^{\frac{3}{4}} {\left(5 \, x^{4} - x - 2\right)} + 6 \, {\left(2 \, x^{4} - x - 2\right)}^{\frac{3}{4}} x}{x^{4} + x + 2}\right) - 3^{\frac{1}{4}} x \log\left(\frac{6 \, \sqrt{3} {\left(2 \, x^{4} - x - 2\right)}^{\frac{1}{4}} x^{3} - 6 \cdot 3^{\frac{1}{4}} \sqrt{2 \, x^{4} - x - 2} x^{2} - 3^{\frac{3}{4}} {\left(5 \, x^{4} - x - 2\right)} + 6 \, {\left(2 \, x^{4} - x - 2\right)}^{\frac{3}{4}} x}{x^{4} + x + 2}\right) - 8 \, {\left(2 \, x^{4} - x - 2\right)}^{\frac{1}{4}}}{2 \, x}"," ",0,"1/2*(4*3^(1/4)*x*arctan(1/3*(6*3^(3/4)*(2*x^4 - x - 2)^(1/4)*x^3 + 6*3^(1/4)*(2*x^4 - x - 2)^(3/4)*x + 3^(3/4)*(2*3^(3/4)*sqrt(2*x^4 - x - 2)*x^2 + 3^(1/4)*(5*x^4 - x - 2)))/(x^4 + x + 2)) + 3^(1/4)*x*log((6*sqrt(3)*(2*x^4 - x - 2)^(1/4)*x^3 + 6*3^(1/4)*sqrt(2*x^4 - x - 2)*x^2 + 3^(3/4)*(5*x^4 - x - 2) + 6*(2*x^4 - x - 2)^(3/4)*x)/(x^4 + x + 2)) - 3^(1/4)*x*log((6*sqrt(3)*(2*x^4 - x - 2)^(1/4)*x^3 - 6*3^(1/4)*sqrt(2*x^4 - x - 2)*x^2 - 3^(3/4)*(5*x^4 - x - 2) + 6*(2*x^4 - x - 2)^(3/4)*x)/(x^4 + x + 2)) - 8*(2*x^4 - x - 2)^(1/4))/x","B",0
1032,1,194,0,0.531963," ","integrate(1/x^5/(a*x^4+b)^(3/4),x, algorithm=""fricas"")","-\frac{12 \, b x^{4} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}} a b^{5} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{3}{4}} - \sqrt{b^{4} \sqrt{\frac{a^{4}}{b^{7}}} + \sqrt{a x^{4} + b} a^{2}} b^{5} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{3}{4}}}{a^{4}}\right) - 3 \, b x^{4} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \log\left(3 \, b^{2} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} + 3 \, {\left(a x^{4} + b\right)}^{\frac{1}{4}} a\right) + 3 \, b x^{4} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \log\left(-3 \, b^{2} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} + 3 \, {\left(a x^{4} + b\right)}^{\frac{1}{4}} a\right) + 4 \, {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{16 \, b x^{4}}"," ",0,"-1/16*(12*b*x^4*(a^4/b^7)^(1/4)*arctan(-((a*x^4 + b)^(1/4)*a*b^5*(a^4/b^7)^(3/4) - sqrt(b^4*sqrt(a^4/b^7) + sqrt(a*x^4 + b)*a^2)*b^5*(a^4/b^7)^(3/4))/a^4) - 3*b*x^4*(a^4/b^7)^(1/4)*log(3*b^2*(a^4/b^7)^(1/4) + 3*(a*x^4 + b)^(1/4)*a) + 3*b*x^4*(a^4/b^7)^(1/4)*log(-3*b^2*(a^4/b^7)^(1/4) + 3*(a*x^4 + b)^(1/4)*a) + 4*(a*x^4 + b)^(1/4))/(b*x^4)","B",0
1033,1,194,0,0.532168," ","integrate(1/x^6/(a*x^5+b)^(3/4),x, algorithm=""fricas"")","-\frac{12 \, b x^{5} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{5} + b\right)}^{\frac{1}{4}} a b^{5} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{3}{4}} - \sqrt{b^{4} \sqrt{\frac{a^{4}}{b^{7}}} + \sqrt{a x^{5} + b} a^{2}} b^{5} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{3}{4}}}{a^{4}}\right) - 3 \, b x^{5} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \log\left(3 \, b^{2} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} + 3 \, {\left(a x^{5} + b\right)}^{\frac{1}{4}} a\right) + 3 \, b x^{5} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \log\left(-3 \, b^{2} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} + 3 \, {\left(a x^{5} + b\right)}^{\frac{1}{4}} a\right) + 4 \, {\left(a x^{5} + b\right)}^{\frac{1}{4}}}{20 \, b x^{5}}"," ",0,"-1/20*(12*b*x^5*(a^4/b^7)^(1/4)*arctan(-((a*x^5 + b)^(1/4)*a*b^5*(a^4/b^7)^(3/4) - sqrt(b^4*sqrt(a^4/b^7) + sqrt(a*x^5 + b)*a^2)*b^5*(a^4/b^7)^(3/4))/a^4) - 3*b*x^5*(a^4/b^7)^(1/4)*log(3*b^2*(a^4/b^7)^(1/4) + 3*(a*x^5 + b)^(1/4)*a) + 3*b*x^5*(a^4/b^7)^(1/4)*log(-3*b^2*(a^4/b^7)^(1/4) + 3*(a*x^5 + b)^(1/4)*a) + 4*(a*x^5 + b)^(1/4))/(b*x^5)","B",0
1034,-2,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6-2*x^3+1)/x^6/(x^6-x^3+1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1035,-2,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6-2*x^3+1)/x^6/(x^6-x^3+1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1036,1,191,0,0.520355," ","integrate(1/x^7/(a*x^6+b)^(3/4),x, algorithm=""fricas"")","-\frac{12 \, b x^{6} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{6} + b\right)}^{\frac{1}{4}} a b^{5} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{3}{4}} - \sqrt{b^{4} \sqrt{\frac{a^{4}}{b^{7}}} + \sqrt{a x^{6} + b} a^{2}} b^{5} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{3}{4}}}{a^{4}}\right) - 3 \, b x^{6} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \log\left(b^{2} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} + {\left(a x^{6} + b\right)}^{\frac{1}{4}} a\right) + 3 \, b x^{6} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \log\left(-b^{2} \left(\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} + {\left(a x^{6} + b\right)}^{\frac{1}{4}} a\right) + 4 \, {\left(a x^{6} + b\right)}^{\frac{1}{4}}}{24 \, b x^{6}}"," ",0,"-1/24*(12*b*x^6*(a^4/b^7)^(1/4)*arctan(-((a*x^6 + b)^(1/4)*a*b^5*(a^4/b^7)^(3/4) - sqrt(b^4*sqrt(a^4/b^7) + sqrt(a*x^6 + b)*a^2)*b^5*(a^4/b^7)^(3/4))/a^4) - 3*b*x^6*(a^4/b^7)^(1/4)*log(b^2*(a^4/b^7)^(1/4) + (a*x^6 + b)^(1/4)*a) + 3*b*x^6*(a^4/b^7)^(1/4)*log(-b^2*(a^4/b^7)^(1/4) + (a*x^6 + b)^(1/4)*a) + 4*(a*x^6 + b)^(1/4))/(b*x^6)","B",0
1037,-1,0,0,0.000000," ","integrate((x^4-1)^(1/4)*(x^8-1)/x^6/(x^8+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1038,1,2014,0,0.794975," ","integrate((x^8-1)/(x^4+1)^(1/4)/(x^8+1),x, algorithm=""fricas"")","\frac{1}{16} \cdot 2^{\frac{7}{8}} \sqrt{2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} \sqrt{-2 \, \sqrt{2} + 4} \arctan\left(\frac{2^{\frac{1}{8}} \sqrt{\frac{1}{2}} \sqrt{2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} {\left(2^{\frac{3}{4}} {\left(\sqrt{2} x + 2 \, x\right)} - 2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{\frac{8 \cdot 2^{\frac{1}{4}} x^{2} + 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x\right)} \sqrt{2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} + 8 \, \sqrt{x^{4} + 1}}{x^{2}}} - 4 \, \sqrt{2} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \cdot 2^{\frac{1}{8}} {\left(2^{\frac{3}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} - 2 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} + 8 \, \sqrt{2} x + 8 \, x}{8 \, x}\right) + \frac{1}{16} \cdot 2^{\frac{7}{8}} \sqrt{2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} \sqrt{-2 \, \sqrt{2} + 4} \arctan\left(\frac{2^{\frac{1}{8}} \sqrt{\frac{1}{2}} \sqrt{2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} {\left(2^{\frac{3}{4}} {\left(\sqrt{2} x + 2 \, x\right)} - 2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{\frac{8 \cdot 2^{\frac{1}{4}} x^{2} - 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x\right)} \sqrt{2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} + 8 \, \sqrt{x^{4} + 1}}{x^{2}}} + 4 \, \sqrt{2} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \cdot 2^{\frac{1}{8}} {\left(2^{\frac{3}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} - 2 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} - 8 \, \sqrt{2} x - 8 \, x}{8 \, x}\right) - \frac{1}{16} \cdot 2^{\frac{7}{8}} \sqrt{-2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} \sqrt{-2 \, \sqrt{2} + 4} \arctan\left(\frac{2^{\frac{1}{8}} \sqrt{\frac{1}{2}} \sqrt{-2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} {\left(2^{\frac{3}{4}} {\left(\sqrt{2} x + 2 \, x\right)} + 2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{\frac{8 \cdot 2^{\frac{1}{4}} x^{2} + 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x\right)} \sqrt{-2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} + 8 \, \sqrt{x^{4} + 1}}{x^{2}}} - 4 \, \sqrt{2} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \cdot 2^{\frac{1}{8}} {\left(2^{\frac{3}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} + 2 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{-2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} - 8 \, \sqrt{2} x - 8 \, x}{8 \, x}\right) - \frac{1}{16} \cdot 2^{\frac{7}{8}} \sqrt{-2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} \sqrt{-2 \, \sqrt{2} + 4} \arctan\left(\frac{2^{\frac{1}{8}} \sqrt{\frac{1}{2}} \sqrt{-2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} {\left(2^{\frac{3}{4}} {\left(\sqrt{2} x + 2 \, x\right)} + 2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{\frac{8 \cdot 2^{\frac{1}{4}} x^{2} - 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x\right)} \sqrt{-2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} + 8 \, \sqrt{x^{4} + 1}}{x^{2}}} + 4 \, \sqrt{2} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \cdot 2^{\frac{1}{8}} {\left(2^{\frac{3}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} + 2 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{-2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} + 8 \, \sqrt{2} x + 8 \, x}{8 \, x}\right) - \frac{1}{64} \cdot 2^{\frac{3}{8}} \sqrt{2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} {\left(\sqrt{2} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4\right)} \log\left(\frac{8 \cdot 2^{\frac{1}{4}} x^{2} + 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x\right)} \sqrt{2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} + 8 \, \sqrt{x^{4} + 1}}{2 \, x^{2}}\right) + \frac{1}{64} \cdot 2^{\frac{3}{8}} \sqrt{2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} {\left(\sqrt{2} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4\right)} \log\left(\frac{8 \cdot 2^{\frac{1}{4}} x^{2} - 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x\right)} \sqrt{2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} + 8 \, \sqrt{x^{4} + 1}}{2 \, x^{2}}\right) - \frac{1}{64} \cdot 2^{\frac{3}{8}} \sqrt{-2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} {\left(\sqrt{2} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4\right)} \log\left(\frac{8 \cdot 2^{\frac{1}{4}} x^{2} + 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x\right)} \sqrt{-2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} + 8 \, \sqrt{x^{4} + 1}}{2 \, x^{2}}\right) + \frac{1}{64} \cdot 2^{\frac{3}{8}} \sqrt{-2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} {\left(\sqrt{2} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4\right)} \log\left(\frac{8 \cdot 2^{\frac{1}{4}} x^{2} - 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x\right)} \sqrt{-2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} + 8 \, \sqrt{x^{4} + 1}}{2 \, x^{2}}\right) - \frac{1}{2} \, \arctan\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{4} \, \log\left(\frac{x + {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{4} \, \log\left(-\frac{x - {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"1/16*2^(7/8)*sqrt(2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16)*sqrt(-2*sqrt(2) + 4)*arctan(1/8*(2^(1/8)*sqrt(1/2)*sqrt(2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16)*(2^(3/4)*(sqrt(2)*x + 2*x) - 2*2^(1/4)*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4))*sqrt((8*2^(1/4)*x^2 + 2^(3/8)*(2^(1/4)*(x^4 + 1)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 4*2^(1/4)*(x^4 + 1)^(1/4)*x)*sqrt(2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16) + 8*sqrt(x^4 + 1))/x^2) - 4*sqrt(2)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 2*2^(1/8)*(2^(3/4)*(x^4 + 1)^(1/4)*(sqrt(2) + 2) - 2*2^(1/4)*(x^4 + 1)^(1/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4))*sqrt(2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16) + 8*sqrt(2)*x + 8*x)/x) + 1/16*2^(7/8)*sqrt(2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16)*sqrt(-2*sqrt(2) + 4)*arctan(1/8*(2^(1/8)*sqrt(1/2)*sqrt(2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16)*(2^(3/4)*(sqrt(2)*x + 2*x) - 2*2^(1/4)*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4))*sqrt((8*2^(1/4)*x^2 - 2^(3/8)*(2^(1/4)*(x^4 + 1)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 4*2^(1/4)*(x^4 + 1)^(1/4)*x)*sqrt(2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16) + 8*sqrt(x^4 + 1))/x^2) + 4*sqrt(2)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 2*2^(1/8)*(2^(3/4)*(x^4 + 1)^(1/4)*(sqrt(2) + 2) - 2*2^(1/4)*(x^4 + 1)^(1/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4))*sqrt(2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16) - 8*sqrt(2)*x - 8*x)/x) - 1/16*2^(7/8)*sqrt(-2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16)*sqrt(-2*sqrt(2) + 4)*arctan(1/8*(2^(1/8)*sqrt(1/2)*sqrt(-2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16)*(2^(3/4)*(sqrt(2)*x + 2*x) + 2*2^(1/4)*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4))*sqrt((8*2^(1/4)*x^2 + 2^(3/8)*(2^(1/4)*(x^4 + 1)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) + 4*2^(1/4)*(x^4 + 1)^(1/4)*x)*sqrt(-2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16) + 8*sqrt(x^4 + 1))/x^2) - 4*sqrt(2)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 2*2^(1/8)*(2^(3/4)*(x^4 + 1)^(1/4)*(sqrt(2) + 2) + 2*2^(1/4)*(x^4 + 1)^(1/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4))*sqrt(-2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16) - 8*sqrt(2)*x - 8*x)/x) - 1/16*2^(7/8)*sqrt(-2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16)*sqrt(-2*sqrt(2) + 4)*arctan(1/8*(2^(1/8)*sqrt(1/2)*sqrt(-2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16)*(2^(3/4)*(sqrt(2)*x + 2*x) + 2*2^(1/4)*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4))*sqrt((8*2^(1/4)*x^2 - 2^(3/8)*(2^(1/4)*(x^4 + 1)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) + 4*2^(1/4)*(x^4 + 1)^(1/4)*x)*sqrt(-2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16) + 8*sqrt(x^4 + 1))/x^2) + 4*sqrt(2)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 2*2^(1/8)*(2^(3/4)*(x^4 + 1)^(1/4)*(sqrt(2) + 2) + 2*2^(1/4)*(x^4 + 1)^(1/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4))*sqrt(-2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16) + 8*sqrt(2)*x + 8*x)/x) - 1/64*2^(3/8)*sqrt(2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16)*(sqrt(2)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - 4)*log(1/2*(8*2^(1/4)*x^2 + 2^(3/8)*(2^(1/4)*(x^4 + 1)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 4*2^(1/4)*(x^4 + 1)^(1/4)*x)*sqrt(2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16) + 8*sqrt(x^4 + 1))/x^2) + 1/64*2^(3/8)*sqrt(2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16)*(sqrt(2)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - 4)*log(1/2*(8*2^(1/4)*x^2 - 2^(3/8)*(2^(1/4)*(x^4 + 1)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 4*2^(1/4)*(x^4 + 1)^(1/4)*x)*sqrt(2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16) + 8*sqrt(x^4 + 1))/x^2) - 1/64*2^(3/8)*sqrt(-2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16)*(sqrt(2)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) + 4)*log(1/2*(8*2^(1/4)*x^2 + 2^(3/8)*(2^(1/4)*(x^4 + 1)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) + 4*2^(1/4)*(x^4 + 1)^(1/4)*x)*sqrt(-2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16) + 8*sqrt(x^4 + 1))/x^2) + 1/64*2^(3/8)*sqrt(-2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16)*(sqrt(2)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) + 4)*log(1/2*(8*2^(1/4)*x^2 - 2^(3/8)*(2^(1/4)*(x^4 + 1)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) + 4*2^(1/4)*(x^4 + 1)^(1/4)*x)*sqrt(-2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16) + 8*sqrt(x^4 + 1))/x^2) - 1/2*arctan((x^4 + 1)^(1/4)/x) + 1/4*log((x + (x^4 + 1)^(1/4))/x) - 1/4*log(-(x - (x^4 + 1)^(1/4))/x)","B",0
1039,1,2014,0,0.671816," ","integrate((x^8-1)/(x^4+1)^(1/4)/(x^8+1),x, algorithm=""fricas"")","\frac{1}{16} \cdot 2^{\frac{7}{8}} \sqrt{2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} \sqrt{-2 \, \sqrt{2} + 4} \arctan\left(\frac{2^{\frac{1}{8}} \sqrt{\frac{1}{2}} \sqrt{2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} {\left(2^{\frac{3}{4}} {\left(\sqrt{2} x + 2 \, x\right)} - 2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{\frac{8 \cdot 2^{\frac{1}{4}} x^{2} + 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x\right)} \sqrt{2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} + 8 \, \sqrt{x^{4} + 1}}{x^{2}}} - 4 \, \sqrt{2} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \cdot 2^{\frac{1}{8}} {\left(2^{\frac{3}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} - 2 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} + 8 \, \sqrt{2} x + 8 \, x}{8 \, x}\right) + \frac{1}{16} \cdot 2^{\frac{7}{8}} \sqrt{2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} \sqrt{-2 \, \sqrt{2} + 4} \arctan\left(\frac{2^{\frac{1}{8}} \sqrt{\frac{1}{2}} \sqrt{2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} {\left(2^{\frac{3}{4}} {\left(\sqrt{2} x + 2 \, x\right)} - 2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{\frac{8 \cdot 2^{\frac{1}{4}} x^{2} - 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x\right)} \sqrt{2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} + 8 \, \sqrt{x^{4} + 1}}{x^{2}}} + 4 \, \sqrt{2} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \cdot 2^{\frac{1}{8}} {\left(2^{\frac{3}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} - 2 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} - 8 \, \sqrt{2} x - 8 \, x}{8 \, x}\right) - \frac{1}{16} \cdot 2^{\frac{7}{8}} \sqrt{-2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} \sqrt{-2 \, \sqrt{2} + 4} \arctan\left(\frac{2^{\frac{1}{8}} \sqrt{\frac{1}{2}} \sqrt{-2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} {\left(2^{\frac{3}{4}} {\left(\sqrt{2} x + 2 \, x\right)} + 2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{\frac{8 \cdot 2^{\frac{1}{4}} x^{2} + 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x\right)} \sqrt{-2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} + 8 \, \sqrt{x^{4} + 1}}{x^{2}}} - 4 \, \sqrt{2} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \cdot 2^{\frac{1}{8}} {\left(2^{\frac{3}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} + 2 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{-2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} - 8 \, \sqrt{2} x - 8 \, x}{8 \, x}\right) - \frac{1}{16} \cdot 2^{\frac{7}{8}} \sqrt{-2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} \sqrt{-2 \, \sqrt{2} + 4} \arctan\left(\frac{2^{\frac{1}{8}} \sqrt{\frac{1}{2}} \sqrt{-2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} {\left(2^{\frac{3}{4}} {\left(\sqrt{2} x + 2 \, x\right)} + 2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{\frac{8 \cdot 2^{\frac{1}{4}} x^{2} - 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x\right)} \sqrt{-2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} + 8 \, \sqrt{x^{4} + 1}}{x^{2}}} + 4 \, \sqrt{2} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \cdot 2^{\frac{1}{8}} {\left(2^{\frac{3}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} + 2 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{-2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} + 8 \, \sqrt{2} x + 8 \, x}{8 \, x}\right) - \frac{1}{64} \cdot 2^{\frac{3}{8}} \sqrt{2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} {\left(\sqrt{2} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4\right)} \log\left(\frac{8 \cdot 2^{\frac{1}{4}} x^{2} + 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x\right)} \sqrt{2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} + 8 \, \sqrt{x^{4} + 1}}{2 \, x^{2}}\right) + \frac{1}{64} \cdot 2^{\frac{3}{8}} \sqrt{2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} {\left(\sqrt{2} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4\right)} \log\left(\frac{8 \cdot 2^{\frac{1}{4}} x^{2} - 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x\right)} \sqrt{2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} + 8 \, \sqrt{x^{4} + 1}}{2 \, x^{2}}\right) - \frac{1}{64} \cdot 2^{\frac{3}{8}} \sqrt{-2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} {\left(\sqrt{2} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4\right)} \log\left(\frac{8 \cdot 2^{\frac{1}{4}} x^{2} + 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x\right)} \sqrt{-2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} + 8 \, \sqrt{x^{4} + 1}}{2 \, x^{2}}\right) + \frac{1}{64} \cdot 2^{\frac{3}{8}} \sqrt{-2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} {\left(\sqrt{2} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4\right)} \log\left(\frac{8 \cdot 2^{\frac{1}{4}} x^{2} - 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x\right)} \sqrt{-2 \, \sqrt{2} {\left(3 \, \sqrt{2} + 4\right)} \sqrt{-2 \, \sqrt{2} + 4} + 8 \, \sqrt{2} + 16} + 8 \, \sqrt{x^{4} + 1}}{2 \, x^{2}}\right) - \frac{1}{2} \, \arctan\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{4} \, \log\left(\frac{x + {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{4} \, \log\left(-\frac{x - {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"1/16*2^(7/8)*sqrt(2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16)*sqrt(-2*sqrt(2) + 4)*arctan(1/8*(2^(1/8)*sqrt(1/2)*sqrt(2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16)*(2^(3/4)*(sqrt(2)*x + 2*x) - 2*2^(1/4)*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4))*sqrt((8*2^(1/4)*x^2 + 2^(3/8)*(2^(1/4)*(x^4 + 1)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 4*2^(1/4)*(x^4 + 1)^(1/4)*x)*sqrt(2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16) + 8*sqrt(x^4 + 1))/x^2) - 4*sqrt(2)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 2*2^(1/8)*(2^(3/4)*(x^4 + 1)^(1/4)*(sqrt(2) + 2) - 2*2^(1/4)*(x^4 + 1)^(1/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4))*sqrt(2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16) + 8*sqrt(2)*x + 8*x)/x) + 1/16*2^(7/8)*sqrt(2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16)*sqrt(-2*sqrt(2) + 4)*arctan(1/8*(2^(1/8)*sqrt(1/2)*sqrt(2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16)*(2^(3/4)*(sqrt(2)*x + 2*x) - 2*2^(1/4)*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4))*sqrt((8*2^(1/4)*x^2 - 2^(3/8)*(2^(1/4)*(x^4 + 1)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 4*2^(1/4)*(x^4 + 1)^(1/4)*x)*sqrt(2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16) + 8*sqrt(x^4 + 1))/x^2) + 4*sqrt(2)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 2*2^(1/8)*(2^(3/4)*(x^4 + 1)^(1/4)*(sqrt(2) + 2) - 2*2^(1/4)*(x^4 + 1)^(1/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4))*sqrt(2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16) - 8*sqrt(2)*x - 8*x)/x) - 1/16*2^(7/8)*sqrt(-2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16)*sqrt(-2*sqrt(2) + 4)*arctan(1/8*(2^(1/8)*sqrt(1/2)*sqrt(-2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16)*(2^(3/4)*(sqrt(2)*x + 2*x) + 2*2^(1/4)*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4))*sqrt((8*2^(1/4)*x^2 + 2^(3/8)*(2^(1/4)*(x^4 + 1)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) + 4*2^(1/4)*(x^4 + 1)^(1/4)*x)*sqrt(-2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16) + 8*sqrt(x^4 + 1))/x^2) - 4*sqrt(2)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 2*2^(1/8)*(2^(3/4)*(x^4 + 1)^(1/4)*(sqrt(2) + 2) + 2*2^(1/4)*(x^4 + 1)^(1/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4))*sqrt(-2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16) - 8*sqrt(2)*x - 8*x)/x) - 1/16*2^(7/8)*sqrt(-2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16)*sqrt(-2*sqrt(2) + 4)*arctan(1/8*(2^(1/8)*sqrt(1/2)*sqrt(-2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16)*(2^(3/4)*(sqrt(2)*x + 2*x) + 2*2^(1/4)*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4))*sqrt((8*2^(1/4)*x^2 - 2^(3/8)*(2^(1/4)*(x^4 + 1)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) + 4*2^(1/4)*(x^4 + 1)^(1/4)*x)*sqrt(-2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16) + 8*sqrt(x^4 + 1))/x^2) + 4*sqrt(2)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 2*2^(1/8)*(2^(3/4)*(x^4 + 1)^(1/4)*(sqrt(2) + 2) + 2*2^(1/4)*(x^4 + 1)^(1/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4))*sqrt(-2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16) + 8*sqrt(2)*x + 8*x)/x) - 1/64*2^(3/8)*sqrt(2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16)*(sqrt(2)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - 4)*log(1/2*(8*2^(1/4)*x^2 + 2^(3/8)*(2^(1/4)*(x^4 + 1)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 4*2^(1/4)*(x^4 + 1)^(1/4)*x)*sqrt(2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16) + 8*sqrt(x^4 + 1))/x^2) + 1/64*2^(3/8)*sqrt(2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16)*(sqrt(2)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - 4)*log(1/2*(8*2^(1/4)*x^2 - 2^(3/8)*(2^(1/4)*(x^4 + 1)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 4*2^(1/4)*(x^4 + 1)^(1/4)*x)*sqrt(2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16) + 8*sqrt(x^4 + 1))/x^2) - 1/64*2^(3/8)*sqrt(-2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16)*(sqrt(2)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) + 4)*log(1/2*(8*2^(1/4)*x^2 + 2^(3/8)*(2^(1/4)*(x^4 + 1)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) + 4*2^(1/4)*(x^4 + 1)^(1/4)*x)*sqrt(-2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16) + 8*sqrt(x^4 + 1))/x^2) + 1/64*2^(3/8)*sqrt(-2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16)*(sqrt(2)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) + 4)*log(1/2*(8*2^(1/4)*x^2 - 2^(3/8)*(2^(1/4)*(x^4 + 1)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) + 4*2^(1/4)*(x^4 + 1)^(1/4)*x)*sqrt(-2*sqrt(2)*(3*sqrt(2) + 4)*sqrt(-2*sqrt(2) + 4) + 8*sqrt(2) + 16) + 8*sqrt(x^4 + 1))/x^2) - 1/2*arctan((x^4 + 1)^(1/4)/x) + 1/4*log((x + (x^4 + 1)^(1/4))/x) - 1/4*log(-(x - (x^4 + 1)^(1/4))/x)","B",0
1040,-1,0,0,0.000000," ","integrate((x^4-1)^(1/4)*(x^8-x^4+1)/x^6/(2*x^8+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1041,-1,0,0,0.000000," ","integrate((x^4-1)^(1/4)*(x^8-x^4+1)/x^6/(2*x^8+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1042,1,61,0,0.481671," ","integrate((2*x^4+1)*(2*x^8+1)^(1/2)/x,x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2 \, x^{8} + 1} {\left(x^{4} + 1\right)} + \frac{1}{8} \, \sqrt{2} \log\left(-\sqrt{2} x^{4} - \sqrt{2 \, x^{8} + 1}\right) + \frac{1}{4} \, \log\left(\frac{\sqrt{2 \, x^{8} + 1} - 1}{x^{4}}\right)"," ",0,"1/4*sqrt(2*x^8 + 1)*(x^4 + 1) + 1/8*sqrt(2)*log(-sqrt(2)*x^4 - sqrt(2*x^8 + 1)) + 1/4*log((sqrt(2*x^8 + 1) - 1)/x^4)","A",0
1043,1,59,0,1.048097," ","integrate((x+(1+x)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{1}{12} \, {\left(8 \, x + 2 \, \sqrt{x + 1} - 3\right)} \sqrt{x + \sqrt{x + 1}} + \frac{5}{16} \, \log\left(4 \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} + 1\right)} + 8 \, x + 8 \, \sqrt{x + 1} + 5\right)"," ",0,"1/12*(8*x + 2*sqrt(x + 1) - 3)*sqrt(x + sqrt(x + 1)) + 5/16*log(4*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) + 1) + 8*x + 8*sqrt(x + 1) + 5)","A",0
1044,1,264,0,0.532535," ","integrate((a*x^2+2*b)/x/(a^2*x^2+b^2)^(3/4),x, algorithm=""fricas"")","\left[-\frac{2 \, a \sqrt{b} \arctan\left(\frac{{\left(a^{2} x^{2} + b^{2}\right)}^{\frac{1}{4}}}{\sqrt{b}}\right) - a \sqrt{b} \log\left(\frac{a^{2} x^{2} + 2 \, b^{2} - 2 \, {\left(a^{2} x^{2} + b^{2}\right)}^{\frac{1}{4}} b^{\frac{3}{2}} + 2 \, \sqrt{a^{2} x^{2} + b^{2}} b - 2 \, {\left(a^{2} x^{2} + b^{2}\right)}^{\frac{3}{4}} \sqrt{b}}{x^{2}}\right) - 2 \, {\left(a^{2} x^{2} + b^{2}\right)}^{\frac{1}{4}} b}{a b}, \frac{2 \, a \sqrt{-b} \arctan\left(\frac{{\left(a^{2} x^{2} + b^{2}\right)}^{\frac{1}{4}} \sqrt{-b}}{b}\right) - a \sqrt{-b} \log\left(\frac{a^{2} x^{2} + 2 \, b^{2} - 2 \, {\left(a^{2} x^{2} + b^{2}\right)}^{\frac{1}{4}} \sqrt{-b} b - 2 \, \sqrt{a^{2} x^{2} + b^{2}} b + 2 \, {\left(a^{2} x^{2} + b^{2}\right)}^{\frac{3}{4}} \sqrt{-b}}{x^{2}}\right) + 2 \, {\left(a^{2} x^{2} + b^{2}\right)}^{\frac{1}{4}} b}{a b}\right]"," ",0,"[-(2*a*sqrt(b)*arctan((a^2*x^2 + b^2)^(1/4)/sqrt(b)) - a*sqrt(b)*log((a^2*x^2 + 2*b^2 - 2*(a^2*x^2 + b^2)^(1/4)*b^(3/2) + 2*sqrt(a^2*x^2 + b^2)*b - 2*(a^2*x^2 + b^2)^(3/4)*sqrt(b))/x^2) - 2*(a^2*x^2 + b^2)^(1/4)*b)/(a*b), (2*a*sqrt(-b)*arctan((a^2*x^2 + b^2)^(1/4)*sqrt(-b)/b) - a*sqrt(-b)*log((a^2*x^2 + 2*b^2 - 2*(a^2*x^2 + b^2)^(1/4)*sqrt(-b)*b - 2*sqrt(a^2*x^2 + b^2)*b + 2*(a^2*x^2 + b^2)^(3/4)*sqrt(-b))/x^2) + 2*(a^2*x^2 + b^2)^(1/4)*b)/(a*b)]","A",0
1045,1,395,0,1.158327," ","integrate((-a*b*x+x^3)/(-a+x)/(-b+x)/(x*(-a+x)*(-b+x))^(1/2)/(a*b*d-(a*d+b*d+1)*x+d*x^2),x, algorithm=""fricas"")","\left[\frac{{\left(a b - {\left(a + b\right)} x + x^{2}\right)} \sqrt{d} \log\left(\frac{a^{2} b^{2} d^{2} + d^{2} x^{4} - 2 \, {\left({\left(a + b\right)} d^{2} - 3 \, d\right)} x^{3} + {\left({\left(a^{2} + 4 \, a b + b^{2}\right)} d^{2} - 6 \, {\left(a + b\right)} d + 1\right)} x^{2} - 4 \, {\left(a b d + d x^{2} - {\left({\left(a + b\right)} d - 1\right)} x\right)} \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} \sqrt{d} + 2 \, {\left(3 \, a b d - {\left(a^{2} b + a b^{2}\right)} d^{2}\right)} x}{a^{2} b^{2} d^{2} + d^{2} x^{4} - 2 \, {\left({\left(a + b\right)} d^{2} + d\right)} x^{3} + {\left({\left(a^{2} + 4 \, a b + b^{2}\right)} d^{2} + 2 \, {\left(a + b\right)} d + 1\right)} x^{2} - 2 \, {\left(a b d + {\left(a^{2} b + a b^{2}\right)} d^{2}\right)} x}\right) + 4 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}}}{2 \, {\left(a b - {\left(a + b\right)} x + x^{2}\right)}}, \frac{{\left(a b - {\left(a + b\right)} x + x^{2}\right)} \sqrt{-d} \arctan\left(\frac{{\left(a b d + d x^{2} - {\left({\left(a + b\right)} d - 1\right)} x\right)} \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} \sqrt{-d}}{2 \, {\left(a b d x - {\left(a + b\right)} d x^{2} + d x^{3}\right)}}\right) + 2 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}}}{a b - {\left(a + b\right)} x + x^{2}}\right]"," ",0,"[1/2*((a*b - (a + b)*x + x^2)*sqrt(d)*log((a^2*b^2*d^2 + d^2*x^4 - 2*((a + b)*d^2 - 3*d)*x^3 + ((a^2 + 4*a*b + b^2)*d^2 - 6*(a + b)*d + 1)*x^2 - 4*(a*b*d + d*x^2 - ((a + b)*d - 1)*x)*sqrt(a*b*x - (a + b)*x^2 + x^3)*sqrt(d) + 2*(3*a*b*d - (a^2*b + a*b^2)*d^2)*x)/(a^2*b^2*d^2 + d^2*x^4 - 2*((a + b)*d^2 + d)*x^3 + ((a^2 + 4*a*b + b^2)*d^2 + 2*(a + b)*d + 1)*x^2 - 2*(a*b*d + (a^2*b + a*b^2)*d^2)*x)) + 4*sqrt(a*b*x - (a + b)*x^2 + x^3))/(a*b - (a + b)*x + x^2), ((a*b - (a + b)*x + x^2)*sqrt(-d)*arctan(1/2*(a*b*d + d*x^2 - ((a + b)*d - 1)*x)*sqrt(a*b*x - (a + b)*x^2 + x^3)*sqrt(-d)/(a*b*d*x - (a + b)*d*x^2 + d*x^3)) + 2*sqrt(a*b*x - (a + b)*x^2 + x^3))/(a*b - (a + b)*x + x^2)]","A",0
1046,-1,0,0,0.000000," ","integrate((-1+2*(-1+k)*x+k*x^2)/((1-x)*x*(-k*x+1))^(1/4)/(-1+(3+d)*x-(d*k+3)*x^2+x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1047,1,105,0,0.583466," ","integrate((x^4+1)/(x^3-x)^(1/2)/(x^4-1),x, algorithm=""fricas"")","\frac{2 \, {\left(x^{2} - 1\right)} \arctan\left(\frac{x^{2} - 2 \, x - 1}{2 \, \sqrt{x^{3} - x}}\right) + {\left(x^{2} - 1\right)} \log\left(\frac{x^{4} + 8 \, x^{3} + 2 \, x^{2} - 4 \, \sqrt{x^{3} - x} {\left(x^{2} + 2 \, x - 1\right)} - 8 \, x + 1}{x^{4} + 2 \, x^{2} + 1}\right) - 8 \, \sqrt{x^{3} - x}}{8 \, {\left(x^{2} - 1\right)}}"," ",0,"1/8*(2*(x^2 - 1)*arctan(1/2*(x^2 - 2*x - 1)/sqrt(x^3 - x)) + (x^2 - 1)*log((x^4 + 8*x^3 + 2*x^2 - 4*sqrt(x^3 - x)*(x^2 + 2*x - 1) - 8*x + 1)/(x^4 + 2*x^2 + 1)) - 8*sqrt(x^3 - x))/(x^2 - 1)","A",0
1048,1,115,0,0.808361," ","integrate((x^2+2)*(x^4-5*x^2+4)^(1/2)/x^2/(x^2+2*x-2),x, algorithm=""fricas"")","\frac{\sqrt{3} x \log\left(-\frac{7 \, x^{4} + 4 \, x^{3} + 2 \, \sqrt{3} \sqrt{x^{4} - 5 \, x^{2} + 4} {\left(2 \, x^{2} + x - 4\right)} - 30 \, x^{2} - 8 \, x + 28}{x^{4} + 4 \, x^{3} - 8 \, x + 4}\right) + 4 \, x \log\left(\frac{x^{2} - \sqrt{x^{4} - 5 \, x^{2} + 4} - 2}{x}\right) + 2 \, \sqrt{x^{4} - 5 \, x^{2} + 4}}{2 \, x}"," ",0,"1/2*(sqrt(3)*x*log(-(7*x^4 + 4*x^3 + 2*sqrt(3)*sqrt(x^4 - 5*x^2 + 4)*(2*x^2 + x - 4) - 30*x^2 - 8*x + 28)/(x^4 + 4*x^3 - 8*x + 4)) + 4*x*log((x^2 - sqrt(x^4 - 5*x^2 + 4) - 2)/x) + 2*sqrt(x^4 - 5*x^2 + 4))/x","A",0
1049,1,258,0,1.804669," ","integrate(x^2/(x^4-1)/(x^4+x^2)^(1/4),x, algorithm=""fricas"")","\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{3} + x\right)} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{4} + x^{2}} x + 2^{\frac{1}{4}} {\left(3 \, x^{3} + x\right)}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{3} - x\right)}}\right) - 2^{\frac{3}{4}} {\left(x^{3} + x\right)} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(3 \, x^{3} + x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{4} + x^{2}} x + 4 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{x^{3} - x}\right) + 2^{\frac{3}{4}} {\left(x^{3} + x\right)} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(3 \, x^{3} + x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{4} + x^{2}} x + 4 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{x^{3} - x}\right) + 16 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{16 \, {\left(x^{3} + x\right)}}"," ",0,"1/16*(4*2^(3/4)*(x^3 + x)*arctan(1/2*(4*2^(3/4)*(x^4 + x^2)^(1/4)*x^2 + 2^(3/4)*(2*2^(3/4)*sqrt(x^4 + x^2)*x + 2^(1/4)*(3*x^3 + x)) + 4*2^(1/4)*(x^4 + x^2)^(3/4))/(x^3 - x)) - 2^(3/4)*(x^3 + x)*log((4*sqrt(2)*(x^4 + x^2)^(1/4)*x^2 + 2^(3/4)*(3*x^3 + x) + 4*2^(1/4)*sqrt(x^4 + x^2)*x + 4*(x^4 + x^2)^(3/4))/(x^3 - x)) + 2^(3/4)*(x^3 + x)*log((4*sqrt(2)*(x^4 + x^2)^(1/4)*x^2 - 2^(3/4)*(3*x^3 + x) - 4*2^(1/4)*sqrt(x^4 + x^2)*x + 4*(x^4 + x^2)^(3/4))/(x^3 - x)) + 16*(x^4 + x^2)^(3/4))/(x^3 + x)","B",0
1050,1,106,0,0.619833," ","integrate((x^6-2)*(x^6-1)^(1/2)/x^4/(x^6+2),x, algorithm=""fricas"")","\frac{\sqrt{3} \sqrt{2} x^{3} \log\left(\frac{25 \, x^{6} - 2 \, \sqrt{3} \sqrt{2} {\left(5 \, x^{6} - 2\right)} - 2 \, \sqrt{x^{6} - 1} {\left(5 \, \sqrt{3} \sqrt{2} x^{3} - 12 \, x^{3}\right)} - 10}{x^{6} + 2}\right) - 2 \, x^{3} \log\left(-x^{3} + \sqrt{x^{6} - 1}\right) + 2 \, x^{3} + 2 \, \sqrt{x^{6} - 1}}{6 \, x^{3}}"," ",0,"1/6*(sqrt(3)*sqrt(2)*x^3*log((25*x^6 - 2*sqrt(3)*sqrt(2)*(5*x^6 - 2) - 2*sqrt(x^6 - 1)*(5*sqrt(3)*sqrt(2)*x^3 - 12*x^3) - 10)/(x^6 + 2)) - 2*x^3*log(-x^3 + sqrt(x^6 - 1)) + 2*x^3 + 2*sqrt(x^6 - 1))/x^3","A",0
1051,1,96,0,0.561373," ","integrate((x^6-4)*(x^6-x^4+2)^(5/2)/x^7/(x^6+2)^2,x, algorithm=""fricas"")","-\frac{15 \, {\left(x^{12} + 2 \, x^{6}\right)} \arctan\left(\frac{2 \, \sqrt{x^{6} - x^{4} + 2} x^{2}}{x^{6} - 2 \, x^{4} + 2}\right) - 2 \, {\left(2 \, x^{12} - 14 \, x^{10} - 3 \, x^{8} + 8 \, x^{6} - 28 \, x^{4} + 8\right)} \sqrt{x^{6} - x^{4} + 2}}{12 \, {\left(x^{12} + 2 \, x^{6}\right)}}"," ",0,"-1/12*(15*(x^12 + 2*x^6)*arctan(2*sqrt(x^6 - x^4 + 2)*x^2/(x^6 - 2*x^4 + 2)) - 2*(2*x^12 - 14*x^10 - 3*x^8 + 8*x^6 - 28*x^4 + 8)*sqrt(x^6 - x^4 + 2))/(x^12 + 2*x^6)","A",0
1052,-2,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^3+2)/x^6/(2*x^6+x^3+2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1053,-2,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^3+2)/x^6/(2*x^6+x^3+2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1054,1,102,0,2.292734," ","integrate((x^7+x)/(x^6-1)^(2/3)/(x^6+x^3-1),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{4 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{2} + 2 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(x^{6} - 1\right)}}{x^{6} - 8 \, x^{3} - 1}\right) + \frac{1}{6} \, \log\left(\frac{x^{6} + x^{3} + 3 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{6} - 1\right)}^{\frac{2}{3}} x - 1}{x^{6} + x^{3} - 1}\right)"," ",0,"-1/3*sqrt(3)*arctan((4*sqrt(3)*(x^6 - 1)^(1/3)*x^2 + 2*sqrt(3)*(x^6 - 1)^(2/3)*x + sqrt(3)*(x^6 - 1))/(x^6 - 8*x^3 - 1)) + 1/6*log((x^6 + x^3 + 3*(x^6 - 1)^(1/3)*x^2 + 3*(x^6 - 1)^(2/3)*x - 1)/(x^6 + x^3 - 1))","A",0
1055,1,512,0,0.661430," ","integrate((-x^6+1)^(1/2)*(2*x^6+1)/(x^12-2*x^6+x^4+1),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \arctan\left(-\frac{x^{12} - 2 \, x^{6} + x^{4} + 2 \, \sqrt{2} {\left(x^{7} + x^{3} - x\right)} \sqrt{-x^{6} + 1} - {\left(4 \, \sqrt{-x^{6} + 1} x^{3} - \sqrt{2} {\left(x^{12} + 2 \, x^{8} - 2 \, x^{6} - x^{4} - 2 \, x^{2} + 1\right)}\right)} \sqrt{\frac{x^{12} - 4 \, x^{8} - 2 \, x^{6} + x^{4} + 2 \, \sqrt{2} {\left(x^{7} - x^{3} - x\right)} \sqrt{-x^{6} + 1} + 4 \, x^{2} + 1}{x^{12} - 2 \, x^{6} + x^{4} + 1}} + 1}{x^{12} + 4 \, x^{8} - 2 \, x^{6} + x^{4} - 4 \, x^{2} + 1}\right) - \frac{1}{4} \, \sqrt{2} \arctan\left(-\frac{x^{12} - 2 \, x^{6} + x^{4} - 2 \, \sqrt{2} {\left(x^{7} + x^{3} - x\right)} \sqrt{-x^{6} + 1} - {\left(4 \, \sqrt{-x^{6} + 1} x^{3} + \sqrt{2} {\left(x^{12} + 2 \, x^{8} - 2 \, x^{6} - x^{4} - 2 \, x^{2} + 1\right)}\right)} \sqrt{\frac{x^{12} - 4 \, x^{8} - 2 \, x^{6} + x^{4} - 2 \, \sqrt{2} {\left(x^{7} - x^{3} - x\right)} \sqrt{-x^{6} + 1} + 4 \, x^{2} + 1}{x^{12} - 2 \, x^{6} + x^{4} + 1}} + 1}{x^{12} + 4 \, x^{8} - 2 \, x^{6} + x^{4} - 4 \, x^{2} + 1}\right) - \frac{1}{16} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{12} - 4 \, x^{8} - 2 \, x^{6} + x^{4} + 2 \, \sqrt{2} {\left(x^{7} - x^{3} - x\right)} \sqrt{-x^{6} + 1} + 4 \, x^{2} + 1\right)}}{x^{12} - 2 \, x^{6} + x^{4} + 1}\right) + \frac{1}{16} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{12} - 4 \, x^{8} - 2 \, x^{6} + x^{4} - 2 \, \sqrt{2} {\left(x^{7} - x^{3} - x\right)} \sqrt{-x^{6} + 1} + 4 \, x^{2} + 1\right)}}{x^{12} - 2 \, x^{6} + x^{4} + 1}\right)"," ",0,"1/4*sqrt(2)*arctan(-(x^12 - 2*x^6 + x^4 + 2*sqrt(2)*(x^7 + x^3 - x)*sqrt(-x^6 + 1) - (4*sqrt(-x^6 + 1)*x^3 - sqrt(2)*(x^12 + 2*x^8 - 2*x^6 - x^4 - 2*x^2 + 1))*sqrt((x^12 - 4*x^8 - 2*x^6 + x^4 + 2*sqrt(2)*(x^7 - x^3 - x)*sqrt(-x^6 + 1) + 4*x^2 + 1)/(x^12 - 2*x^6 + x^4 + 1)) + 1)/(x^12 + 4*x^8 - 2*x^6 + x^4 - 4*x^2 + 1)) - 1/4*sqrt(2)*arctan(-(x^12 - 2*x^6 + x^4 - 2*sqrt(2)*(x^7 + x^3 - x)*sqrt(-x^6 + 1) - (4*sqrt(-x^6 + 1)*x^3 + sqrt(2)*(x^12 + 2*x^8 - 2*x^6 - x^4 - 2*x^2 + 1))*sqrt((x^12 - 4*x^8 - 2*x^6 + x^4 - 2*sqrt(2)*(x^7 - x^3 - x)*sqrt(-x^6 + 1) + 4*x^2 + 1)/(x^12 - 2*x^6 + x^4 + 1)) + 1)/(x^12 + 4*x^8 - 2*x^6 + x^4 - 4*x^2 + 1)) - 1/16*sqrt(2)*log(4*(x^12 - 4*x^8 - 2*x^6 + x^4 + 2*sqrt(2)*(x^7 - x^3 - x)*sqrt(-x^6 + 1) + 4*x^2 + 1)/(x^12 - 2*x^6 + x^4 + 1)) + 1/16*sqrt(2)*log(4*(x^12 - 4*x^8 - 2*x^6 + x^4 - 2*sqrt(2)*(x^7 - x^3 - x)*sqrt(-x^6 + 1) + 4*x^2 + 1)/(x^12 - 2*x^6 + x^4 + 1))","B",0
1056,1,58,0,1.143843," ","integrate((x^2+1)^(1/2)/(1+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{3 \, \sqrt{2} x \arctan\left(\frac{\sqrt{2} \sqrt{\sqrt{x^{2} + 1} + 1}}{x}\right) - 2 \, {\left(x^{2} - 2 \, \sqrt{x^{2} + 1} + 2\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{3 \, x}"," ",0,"-1/3*(3*sqrt(2)*x*arctan(sqrt(2)*sqrt(sqrt(x^2 + 1) + 1)/x) - 2*(x^2 - 2*sqrt(x^2 + 1) + 2)*sqrt(sqrt(x^2 + 1) + 1))/x","A",0
1057,1,43,0,0.444780," ","integrate((x^2+1)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{2}{35} \, {\left(5 \, x^{4} + 12 \, x^{2} - {\left(5 \, x^{3} + 13 \, x\right)} \sqrt{x^{2} + 1} - 9\right)} \sqrt{x + \sqrt{x^{2} + 1}}"," ",0,"-2/35*(5*x^4 + 12*x^2 - (5*x^3 + 13*x)*sqrt(x^2 + 1) - 9)*sqrt(x + sqrt(x^2 + 1))","A",0
1058,1,81,0,0.827458," ","integrate(x^2/(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{1}{8} \, {\left(2 \, x^{5} - 2 \, \sqrt{x^{4} + 1} x^{3} - x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + \frac{1}{16} \, \sqrt{2} \arctan\left(-\frac{{\left(\sqrt{2} x^{2} - \sqrt{2} \sqrt{x^{4} + 1}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{2 \, x}\right)"," ",0,"-1/8*(2*x^5 - 2*sqrt(x^4 + 1)*x^3 - x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1/16*sqrt(2)*arctan(-1/2*(sqrt(2)*x^2 - sqrt(2)*sqrt(x^4 + 1))*sqrt(x^2 + sqrt(x^4 + 1))/x)","A",0
1059,1,81,0,0.936147," ","integrate((x^4+1)^(1/2)/(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{1}{8} \, {\left(2 \, x^{5} - 2 \, \sqrt{x^{4} + 1} x^{3} + 3 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} - \frac{5}{16} \, \sqrt{2} \arctan\left(-\frac{{\left(\sqrt{2} x^{2} - \sqrt{2} \sqrt{x^{4} + 1}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{2 \, x}\right)"," ",0,"1/8*(2*x^5 - 2*sqrt(x^4 + 1)*x^3 + 3*x)*sqrt(x^2 + sqrt(x^4 + 1)) - 5/16*sqrt(2)*arctan(-1/2*(sqrt(2)*x^2 - sqrt(2)*sqrt(x^4 + 1))*sqrt(x^2 + sqrt(x^4 + 1))/x)","A",0
1060,1,100,0,1.210407," ","integrate((x^2-3)/(x^2-1)^(1/3)/(x^3+x^2-1),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{\sqrt{3} x^{3} + 2 \, \sqrt{3} {\left(x^{2} - 1\right)}^{\frac{1}{3}} x^{2} + 4 \, \sqrt{3} {\left(x^{2} - 1\right)}^{\frac{2}{3}} x}{x^{3} - 8 \, x^{2} + 8}\right) + \frac{1}{2} \, \log\left(\frac{x^{3} + 3 \, {\left(x^{2} - 1\right)}^{\frac{1}{3}} x^{2} + x^{2} + 3 \, {\left(x^{2} - 1\right)}^{\frac{2}{3}} x - 1}{x^{3} + x^{2} - 1}\right)"," ",0,"-sqrt(3)*arctan((sqrt(3)*x^3 + 2*sqrt(3)*(x^2 - 1)^(1/3)*x^2 + 4*sqrt(3)*(x^2 - 1)^(2/3)*x)/(x^3 - 8*x^2 + 8)) + 1/2*log((x^3 + 3*(x^2 - 1)^(1/3)*x^2 + x^2 + 3*(x^2 - 1)^(2/3)*x - 1)/(x^3 + x^2 - 1))","A",0
1061,1,312,0,0.884945," ","integrate((-a^2*b+a*(2*a+b)*x-3*a*x^2+x^3)/x/(-b+x)/(x*(-a+x)*(-b+x))^(1/2)/(a-(b*d+1)*x+d*x^2),x, algorithm=""fricas"")","\left[\frac{{\left(b x - x^{2}\right)} \sqrt{d} \log\left(\frac{d^{2} x^{4} - 2 \, {\left(b d^{2} - 3 \, d\right)} x^{3} + {\left(b^{2} d^{2} - 6 \, {\left(a + b\right)} d + 1\right)} x^{2} + a^{2} - 4 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left(d x^{2} - {\left(b d - 1\right)} x - a\right)} \sqrt{d} + 2 \, {\left(3 \, a b d - a\right)} x}{d^{2} x^{4} - 2 \, {\left(b d^{2} + d\right)} x^{3} + {\left(b^{2} d^{2} + 2 \, {\left(a + b\right)} d + 1\right)} x^{2} + a^{2} - 2 \, {\left(a b d + a\right)} x}\right) - 4 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}}}{2 \, {\left(b x - x^{2}\right)}}, \frac{{\left(b x - x^{2}\right)} \sqrt{-d} \arctan\left(\frac{\sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left(d x^{2} - {\left(b d - 1\right)} x - a\right)} \sqrt{-d}}{2 \, {\left(a b d x - {\left(a + b\right)} d x^{2} + d x^{3}\right)}}\right) - 2 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}}}{b x - x^{2}}\right]"," ",0,"[1/2*((b*x - x^2)*sqrt(d)*log((d^2*x^4 - 2*(b*d^2 - 3*d)*x^3 + (b^2*d^2 - 6*(a + b)*d + 1)*x^2 + a^2 - 4*sqrt(a*b*x - (a + b)*x^2 + x^3)*(d*x^2 - (b*d - 1)*x - a)*sqrt(d) + 2*(3*a*b*d - a)*x)/(d^2*x^4 - 2*(b*d^2 + d)*x^3 + (b^2*d^2 + 2*(a + b)*d + 1)*x^2 + a^2 - 2*(a*b*d + a)*x)) - 4*sqrt(a*b*x - (a + b)*x^2 + x^3))/(b*x - x^2), ((b*x - x^2)*sqrt(-d)*arctan(1/2*sqrt(a*b*x - (a + b)*x^2 + x^3)*(d*x^2 - (b*d - 1)*x - a)*sqrt(-d)/(a*b*d*x - (a + b)*d*x^2 + d*x^3)) - 2*sqrt(a*b*x - (a + b)*x^2 + x^3))/(b*x - x^2)]","A",0
1062,-1,0,0,0.000000," ","integrate(1/(a^3*x^3+b)/(a^3*x^3-b*x^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1063,-1,0,0,0.000000," ","integrate(1/(a^3*x^3+b)/(a^3*x^3-b*x^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1064,1,189,0,0.460264," ","integrate(x^2*(x^3-4)/(x^3-1)^(3/4)/(x^4+x^3-1),x, algorithm=""fricas"")","2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} x \sqrt{\frac{x^{2} + \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{1}{4}} x + \sqrt{x^{3} - 1}}{x^{2}}} - x - \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{1}{4}}}{x}\right) + 2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} x \sqrt{\frac{x^{2} - \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{1}{4}} x + \sqrt{x^{3} - 1}}{x^{2}}} + x - \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{2} + \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{1}{4}} x + \sqrt{x^{3} - 1}\right)}}{x^{2}}\right) + \frac{1}{2} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{2} - \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{1}{4}} x + \sqrt{x^{3} - 1}\right)}}{x^{2}}\right)"," ",0,"2*sqrt(2)*arctan((sqrt(2)*x*sqrt((x^2 + sqrt(2)*(x^3 - 1)^(1/4)*x + sqrt(x^3 - 1))/x^2) - x - sqrt(2)*(x^3 - 1)^(1/4))/x) + 2*sqrt(2)*arctan((sqrt(2)*x*sqrt((x^2 - sqrt(2)*(x^3 - 1)^(1/4)*x + sqrt(x^3 - 1))/x^2) + x - sqrt(2)*(x^3 - 1)^(1/4))/x) - 1/2*sqrt(2)*log(4*(x^2 + sqrt(2)*(x^3 - 1)^(1/4)*x + sqrt(x^3 - 1))/x^2) + 1/2*sqrt(2)*log(4*(x^2 - sqrt(2)*(x^3 - 1)^(1/4)*x + sqrt(x^3 - 1))/x^2)","B",0
1065,1,204,0,0.501689," ","integrate(x^6/(a*x^4+b)^(3/4),x, algorithm=""fricas"")","\frac{4 \, {\left(a x^{4} + b\right)}^{\frac{1}{4}} x^{3} + 12 \, a \left(\frac{b^{4}}{a^{7}}\right)^{\frac{1}{4}} \arctan\left(\frac{a^{5} x \sqrt{\frac{a^{4} x^{2} \sqrt{\frac{b^{4}}{a^{7}}} + \sqrt{a x^{4} + b} b^{2}}{x^{2}}} \left(\frac{b^{4}}{a^{7}}\right)^{\frac{3}{4}} - {\left(a x^{4} + b\right)}^{\frac{1}{4}} a^{5} b \left(\frac{b^{4}}{a^{7}}\right)^{\frac{3}{4}}}{b^{4} x}\right) - 3 \, a \left(\frac{b^{4}}{a^{7}}\right)^{\frac{1}{4}} \log\left(\frac{3 \, {\left(a^{2} x \left(\frac{b^{4}}{a^{7}}\right)^{\frac{1}{4}} + {\left(a x^{4} + b\right)}^{\frac{1}{4}} b\right)}}{x}\right) + 3 \, a \left(\frac{b^{4}}{a^{7}}\right)^{\frac{1}{4}} \log\left(-\frac{3 \, {\left(a^{2} x \left(\frac{b^{4}}{a^{7}}\right)^{\frac{1}{4}} - {\left(a x^{4} + b\right)}^{\frac{1}{4}} b\right)}}{x}\right)}{16 \, a}"," ",0,"1/16*(4*(a*x^4 + b)^(1/4)*x^3 + 12*a*(b^4/a^7)^(1/4)*arctan((a^5*x*sqrt((a^4*x^2*sqrt(b^4/a^7) + sqrt(a*x^4 + b)*b^2)/x^2)*(b^4/a^7)^(3/4) - (a*x^4 + b)^(1/4)*a^5*b*(b^4/a^7)^(3/4))/(b^4*x)) - 3*a*(b^4/a^7)^(1/4)*log(3*(a^2*x*(b^4/a^7)^(1/4) + (a*x^4 + b)^(1/4)*b)/x) + 3*a*(b^4/a^7)^(1/4)*log(-3*(a^2*x*(b^4/a^7)^(1/4) - (a*x^4 + b)^(1/4)*b)/x))/a","B",0
1066,-1,0,0,0.000000," ","integrate((a*x^4+b*x^2)^(1/4)/x^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1067,1,5805,0,14.500091," ","integrate((x^4+2)^(1/4)*(x^8-4)/x^6/(x^8-2*x^4-4),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{5} \sqrt{2} x^{5} {\left(\sqrt{5} + 2\right)}^{\frac{1}{4}} \arctan\left(-\frac{3205700 \, x^{48} + 37345168 \, x^{44} + 180959952 \, x^{40} + 465140928 \, x^{36} + 664687232 \, x^{32} + 494124288 \, x^{28} + 141907200 \, x^{24} - 6450176 \, x^{20} + 1075200 \, x^{16} + 2797568 \, x^{12} + 1691648 \, x^{8} + 278528 \, x^{4} - 16 \, {\left(95823 \, x^{46} + 1251203 \, x^{42} + 6523442 \, x^{38} + 16526620 \, x^{34} + 19670784 \, x^{30} + 7602736 \, x^{26} - 1179424 \, x^{22} + 1387328 \, x^{18} + 445952 \, x^{14} - 243456 \, x^{10} - 46592 \, x^{6} - 3072 \, x^{2} + \sqrt{5} {\left(48196 \, x^{46} - 196187 \, x^{42} - 3617546 \, x^{38} - 13241892 \, x^{34} - 19800240 \, x^{30} - 11105648 \, x^{26} - 526432 \, x^{22} - 398016 \, x^{18} - 373504 \, x^{14} + 58112 \, x^{10} + 13824 \, x^{6} + 1024 \, x^{2}\right)}\right)} \sqrt{x^{4} + 2} \sqrt{\sqrt{5} + 2} + \sqrt{2} {\left(32 \, {\left(4449 \, x^{45} + 634636 \, x^{41} + 3555644 \, x^{37} + 6358496 \, x^{33} + 2708704 \, x^{29} - 1547296 \, x^{25} + 190272 \, x^{21} + 181376 \, x^{17} - 108800 \, x^{13} + 5632 \, x^{9} + \sqrt{5} {\left(5925 \, x^{45} - 282704 \, x^{41} - 1807476 \, x^{37} - 3570256 \, x^{33} - 2134720 \, x^{29} + 190240 \, x^{25} - 209984 \, x^{21} - 98176 \, x^{17} + 47360 \, x^{13} - 2560 \, x^{9}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{5} + 2} - {\left(2 \, \sqrt{x^{4} + 2} {\left(\sqrt{5} \sqrt{2} {\left(10653 \, x^{46} + 2956548 \, x^{42} + 20110664 \, x^{38} + 50652360 \, x^{34} + 56023600 \, x^{30} + 25198208 \, x^{26} + 3725952 \, x^{22} + 757632 \, x^{18} + 1234176 \, x^{14} - 217088 \, x^{10} - 77824 \, x^{6} - 6144 \, x^{2}\right)} + \sqrt{2} {\left(108077 \, x^{46} - 5431312 \, x^{42} - 40263280 \, x^{38} - 102843464 \, x^{34} - 112864528 \, x^{30} - 50417856 \, x^{26} - 9076224 \, x^{22} - 2229120 \, x^{18} - 2436864 \, x^{14} + 578560 \, x^{10} + 186368 \, x^{6} + 14336 \, x^{2}\right)}\right)} + {\left(\sqrt{5} \sqrt{2} {\left(28915 \, x^{48} - 8366472 \, x^{44} - 80621076 \, x^{40} - 293448080 \, x^{36} - 499554944 \, x^{32} - 380351744 \, x^{28} - 90915392 \, x^{24} - 11139840 \, x^{20} - 17656832 \, x^{16} + 94208 \, x^{12} + 1137664 \, x^{8} + 290816 \, x^{4} + 20480\right)} - \sqrt{2} {\left(190537 \, x^{48} - 17103640 \, x^{44} - 172683372 \, x^{40} - 639099216 \, x^{36} - 1098574144 \, x^{32} - 842361344 \, x^{28} - 201443776 \, x^{24} - 22353664 \, x^{20} - 38754304 \, x^{16} - 204800 \, x^{12} + 2425856 \, x^{8} + 634880 \, x^{4} + 45056\right)}\right)} \sqrt{\sqrt{5} + 2}\right)} {\left(\sqrt{5} + 2\right)}^{\frac{3}{4}} - 8 \, {\left(4 \, {\left(11786 \, x^{45} - 418982 \, x^{41} - 3153502 \, x^{37} - 7711008 \, x^{33} - 7243648 \, x^{29} - 1668480 \, x^{25} + 72544 \, x^{21} - 338048 \, x^{17} + 23296 \, x^{13} + 30720 \, x^{9} + 3584 \, x^{5} + \sqrt{5} {\left(2097 \, x^{45} + 266982 \, x^{41} + 1696566 \, x^{37} + 3848848 \, x^{33} + 3350352 \, x^{29} + 602560 \, x^{25} - 43104 \, x^{21} + 200064 \, x^{17} + 1536 \, x^{13} - 12288 \, x^{9} - 1536 \, x^{5}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{3}{4}} - {\left(12471 \, x^{47} + 710367 \, x^{43} + 2116698 \, x^{39} - 3578860 \, x^{35} - 18142976 \, x^{31} - 16588112 \, x^{27} - 1714848 \, x^{23} - 1272384 \, x^{19} - 446976 \, x^{15} - 139008 \, x^{11} + 70144 \, x^{7} + 11264 \, x^{3} + \sqrt{5} {\left(9172 \, x^{47} - 210451 \, x^{43} - 628290 \, x^{39} + 2143588 \, x^{35} + 8786384 \, x^{31} + 8031184 \, x^{27} + 1024032 \, x^{23} + 498368 \, x^{19} + 118016 \, x^{15} + 44800 \, x^{11} - 33280 \, x^{7} - 5120 \, x^{3}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{5} + 2}\right)} \sqrt{\sqrt{5} + 2} - 256 \, {\left(2073 \, x^{47} + 31642 \, x^{43} + 149420 \, x^{39} + 309672 \, x^{35} + 314176 \, x^{31} + 198976 \, x^{27} + 124608 \, x^{23} + 27520 \, x^{19} - 10496 \, x^{15} + 3584 \, x^{11} + \sqrt{5} {\left(953 \, x^{47} + 10346 \, x^{43} + 54828 \, x^{39} + 165000 \, x^{35} + 269856 \, x^{31} + 208768 \, x^{27} + 52032 \, x^{23} + 5760 \, x^{19} + 6400 \, x^{15} - 1536 \, x^{11}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}} - 8 \, {\left(2 \, \sqrt{5} \sqrt{2} {\left(6759 \, x^{48} + 192756 \, x^{44} + 1338912 \, x^{40} + 3951568 \, x^{36} + 5386016 \, x^{32} + 2908960 \, x^{28} + 366208 \, x^{24} + 417664 \, x^{20} + 157952 \, x^{16} - 25088 \, x^{12} - 9216 \, x^{8}\right)} - \sqrt{x^{4} + 2} {\left(\sqrt{5} \sqrt{2} {\left(12951 \, x^{46} - 734356 \, x^{42} - 4933932 \, x^{38} - 10666960 \, x^{34} - 7733808 \, x^{30} + 208192 \, x^{26} + 222272 \, x^{22} - 739840 \, x^{18} + 166656 \, x^{14} + 22528 \, x^{10} - 5120 \, x^{6}\right)} + \sqrt{2} {\left(3493 \, x^{46} + 2013180 \, x^{42} + 12514388 \, x^{38} + 26406800 \, x^{34} + 18862832 \, x^{30} - 954432 \, x^{26} - 1374912 \, x^{22} + 1328128 \, x^{18} - 426752 \, x^{14} - 55296 \, x^{10} + 11264 \, x^{6}\right)}\right)} \sqrt{\sqrt{5} + 2} + 2 \, \sqrt{2} {\left(19945 \, x^{48} - 252392 \, x^{44} - 2918376 \, x^{40} - 9824736 \, x^{36} - 13811360 \, x^{32} - 6643360 \, x^{28} + 793216 \, x^{24} + 89984 \, x^{20} - 152320 \, x^{16} + 77312 \, x^{12} + 21504 \, x^{8}\right)}\right)} {\left(\sqrt{5} + 2\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{4 \, {\left(x^{6} - 6 \, x^{2} + \sqrt{5} {\left(x^{6} - 2 \, x^{2}\right)}\right)} \sqrt{x^{4} + 2} + {\left(x^{8} - 2 \, x^{4} + \sqrt{5} {\left(x^{8} - 2 \, x^{4} - 4\right)} - 4\right)} \sqrt{\sqrt{5} + 2} + 2 \, {\left({\left(\sqrt{5} \sqrt{2} x^{5} - \sqrt{2} {\left(x^{5} + 4 \, x\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{5} + 2} - 2 \, {\left(\sqrt{5} \sqrt{2} x^{3} - \sqrt{2} {\left(x^{7} - x^{3}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}}\right)} {\left(\sqrt{5} + 2\right)}^{\frac{1}{4}}}{x^{8} - 2 \, x^{4} - 4}} - 4 \, {\left({\left(x^{4} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(60399 \, x^{45} - 2243940 \, x^{41} - 17911864 \, x^{37} - 47674696 \, x^{33} - 51732592 \, x^{29} - 17641088 \, x^{25} - 228224 \, x^{21} - 2926464 \, x^{17} - 241920 \, x^{13} + 77824 \, x^{9} + 57344 \, x^{5} + 6144 \, x\right)} + \sqrt{2} {\left(53127 \, x^{45} + 6673680 \, x^{41} + 45520576 \, x^{37} + 114960072 \, x^{33} + 121770576 \, x^{29} + 42292928 \, x^{25} + 2253056 \, x^{21} + 6572928 \, x^{17} + 80640 \, x^{13} - 283648 \, x^{9} - 141312 \, x^{5} - 14336 \, x\right)}\right)} \sqrt{\sqrt{5} + 2} - {\left(x^{4} + 2\right)}^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(95519 \, x^{47} - 417922 \, x^{43} - 6811916 \, x^{39} - 24252224 \, x^{35} - 38254288 \, x^{31} - 27904608 \, x^{27} - 7052352 \, x^{23} - 93696 \, x^{19} - 1097472 \, x^{15} + 267776 \, x^{11} + 125952 \, x^{7} + 12288 \, x^{3}\right)} + \sqrt{2} {\left(172357 \, x^{47} + 4920726 \, x^{43} + 31853380 \, x^{39} + 88748912 \, x^{35} + 119801296 \, x^{31} + 71833760 \, x^{27} + 10158272 \, x^{23} + 179968 \, x^{19} + 4671232 \, x^{15} - 68096 \, x^{11} - 218112 \, x^{7} - 24576 \, x^{3}\right)}\right)}\right)} {\left(\sqrt{5} + 2\right)}^{\frac{3}{4}} + 32 \, \sqrt{5} {\left(44757 \, x^{48} + 528500 \, x^{44} + 2531006 \, x^{40} + 6388884 \, x^{36} + 9172544 \, x^{32} + 7394272 \, x^{28} + 2846624 \, x^{24} + 106688 \, x^{20} - 75776 \, x^{16} + 115200 \, x^{12} + 15872 \, x^{8} + 1024 \, x^{4}\right)} + 16 \, {\left({\left(91357 \, x^{46} + 1895268 \, x^{42} + 10212936 \, x^{38} + 22875904 \, x^{34} + 22078448 \, x^{30} + 6990272 \, x^{26} + 1117568 \, x^{22} + 2320896 \, x^{18} + 413952 \, x^{14} - 74752 \, x^{10} - 20480 \, x^{6} + \sqrt{5} {\left(47877 \, x^{46} - 154580 \, x^{42} - 2723168 \, x^{38} - 8670208 \, x^{34} - 10594640 \, x^{30} - 3899328 \, x^{26} + 805376 \, x^{22} + 61952 \, x^{18} + 42240 \, x^{14} + 58368 \, x^{10} + 10240 \, x^{6}\right)}\right)} \sqrt{x^{4} + 2} - 2 \, {\left(23987 \, x^{48} + 227560 \, x^{44} + 938350 \, x^{40} + 1981652 \, x^{36} + 1955168 \, x^{32} + 712608 \, x^{28} + 496288 \, x^{24} + 274624 \, x^{20} - 612864 \, x^{16} + 116224 \, x^{12} - 8704 \, x^{8} - 7168 \, x^{4} + 2 \, \sqrt{5} {\left(5352 \, x^{48} + 52677 \, x^{44} + 202941 \, x^{40} + 418518 \, x^{36} + 526744 \, x^{32} + 300896 \, x^{28} - 223888 \, x^{24} - 296544 \, x^{20} + 36992 \, x^{16} - 43520 \, x^{12} + 256 \, x^{8} + 1536 \, x^{4}\right)}\right)} \sqrt{\sqrt{5} + 2}\right)} \sqrt{\sqrt{5} + 2} + 32 \, {\left(2 \, {\left(x^{4} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(11608 \, x^{45} + 30607 \, x^{41} - 58200 \, x^{37} - 138724 \, x^{33} + 244200 \, x^{29} + 571344 \, x^{25} + 243360 \, x^{21} + 38272 \, x^{17} + 128 \, x^{13} + 3584 \, x^{9}\right)} + \sqrt{2} {\left(24419 \, x^{45} + 289341 \, x^{41} + 1254508 \, x^{37} + 2575396 \, x^{33} + 2690040 \, x^{29} + 1562960 \, x^{25} + 649760 \, x^{21} + 125952 \, x^{17} + 20608 \, x^{13} - 7168 \, x^{9}\right)}\right)} - {\left(x^{4} + 2\right)}^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(9667 \, x^{47} + 271524 \, x^{43} + 1604384 \, x^{39} + 3720976 \, x^{35} + 3252512 \, x^{31} - 143712 \, x^{27} - 1076608 \, x^{23} + 108928 \, x^{19} - 15104 \, x^{15} - 39424 \, x^{11} + 3072 \, x^{7}\right)} + \sqrt{2} {\left(27805 \, x^{47} - 275016 \, x^{43} - 3020872 \, x^{39} - 9166816 \, x^{35} - 11334816 \, x^{31} - 4883488 \, x^{27} - 483712 \, x^{23} - 1009280 \, x^{19} - 75520 \, x^{15} + 79360 \, x^{11} - 7168 \, x^{7}\right)}\right)} \sqrt{\sqrt{5} + 2}\right)} {\left(\sqrt{5} + 2\right)}^{\frac{1}{4}} + 16384}{4 \, {\left(60929 \, x^{48} - 8635020 \, x^{44} - 72157788 \, x^{40} - 223468208 \, x^{36} - 314189280 \, x^{32} - 181711040 \, x^{28} - 22351296 \, x^{24} - 8686848 \, x^{20} - 7921152 \, x^{16} + 1174528 \, x^{12} + 500736 \, x^{8} + 77824 \, x^{4} + 4096\right)}}\right) + 4 \, \sqrt{5} \sqrt{2} x^{5} {\left(\sqrt{5} + 2\right)}^{\frac{1}{4}} \arctan\left(\frac{3205700 \, x^{48} + 37345168 \, x^{44} + 180959952 \, x^{40} + 465140928 \, x^{36} + 664687232 \, x^{32} + 494124288 \, x^{28} + 141907200 \, x^{24} - 6450176 \, x^{20} + 1075200 \, x^{16} + 2797568 \, x^{12} + 1691648 \, x^{8} + 278528 \, x^{4} - 16 \, {\left(95823 \, x^{46} + 1251203 \, x^{42} + 6523442 \, x^{38} + 16526620 \, x^{34} + 19670784 \, x^{30} + 7602736 \, x^{26} - 1179424 \, x^{22} + 1387328 \, x^{18} + 445952 \, x^{14} - 243456 \, x^{10} - 46592 \, x^{6} - 3072 \, x^{2} + \sqrt{5} {\left(48196 \, x^{46} - 196187 \, x^{42} - 3617546 \, x^{38} - 13241892 \, x^{34} - 19800240 \, x^{30} - 11105648 \, x^{26} - 526432 \, x^{22} - 398016 \, x^{18} - 373504 \, x^{14} + 58112 \, x^{10} + 13824 \, x^{6} + 1024 \, x^{2}\right)}\right)} \sqrt{x^{4} + 2} \sqrt{\sqrt{5} + 2} + \sqrt{2} {\left(32 \, {\left(4449 \, x^{45} + 634636 \, x^{41} + 3555644 \, x^{37} + 6358496 \, x^{33} + 2708704 \, x^{29} - 1547296 \, x^{25} + 190272 \, x^{21} + 181376 \, x^{17} - 108800 \, x^{13} + 5632 \, x^{9} + \sqrt{5} {\left(5925 \, x^{45} - 282704 \, x^{41} - 1807476 \, x^{37} - 3570256 \, x^{33} - 2134720 \, x^{29} + 190240 \, x^{25} - 209984 \, x^{21} - 98176 \, x^{17} + 47360 \, x^{13} - 2560 \, x^{9}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{5} + 2} + {\left(2 \, \sqrt{x^{4} + 2} {\left(\sqrt{5} \sqrt{2} {\left(10653 \, x^{46} + 2956548 \, x^{42} + 20110664 \, x^{38} + 50652360 \, x^{34} + 56023600 \, x^{30} + 25198208 \, x^{26} + 3725952 \, x^{22} + 757632 \, x^{18} + 1234176 \, x^{14} - 217088 \, x^{10} - 77824 \, x^{6} - 6144 \, x^{2}\right)} + \sqrt{2} {\left(108077 \, x^{46} - 5431312 \, x^{42} - 40263280 \, x^{38} - 102843464 \, x^{34} - 112864528 \, x^{30} - 50417856 \, x^{26} - 9076224 \, x^{22} - 2229120 \, x^{18} - 2436864 \, x^{14} + 578560 \, x^{10} + 186368 \, x^{6} + 14336 \, x^{2}\right)}\right)} + {\left(\sqrt{5} \sqrt{2} {\left(28915 \, x^{48} - 8366472 \, x^{44} - 80621076 \, x^{40} - 293448080 \, x^{36} - 499554944 \, x^{32} - 380351744 \, x^{28} - 90915392 \, x^{24} - 11139840 \, x^{20} - 17656832 \, x^{16} + 94208 \, x^{12} + 1137664 \, x^{8} + 290816 \, x^{4} + 20480\right)} - \sqrt{2} {\left(190537 \, x^{48} - 17103640 \, x^{44} - 172683372 \, x^{40} - 639099216 \, x^{36} - 1098574144 \, x^{32} - 842361344 \, x^{28} - 201443776 \, x^{24} - 22353664 \, x^{20} - 38754304 \, x^{16} - 204800 \, x^{12} + 2425856 \, x^{8} + 634880 \, x^{4} + 45056\right)}\right)} \sqrt{\sqrt{5} + 2}\right)} {\left(\sqrt{5} + 2\right)}^{\frac{3}{4}} - 8 \, {\left(4 \, {\left(11786 \, x^{45} - 418982 \, x^{41} - 3153502 \, x^{37} - 7711008 \, x^{33} - 7243648 \, x^{29} - 1668480 \, x^{25} + 72544 \, x^{21} - 338048 \, x^{17} + 23296 \, x^{13} + 30720 \, x^{9} + 3584 \, x^{5} + \sqrt{5} {\left(2097 \, x^{45} + 266982 \, x^{41} + 1696566 \, x^{37} + 3848848 \, x^{33} + 3350352 \, x^{29} + 602560 \, x^{25} - 43104 \, x^{21} + 200064 \, x^{17} + 1536 \, x^{13} - 12288 \, x^{9} - 1536 \, x^{5}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{3}{4}} - {\left(12471 \, x^{47} + 710367 \, x^{43} + 2116698 \, x^{39} - 3578860 \, x^{35} - 18142976 \, x^{31} - 16588112 \, x^{27} - 1714848 \, x^{23} - 1272384 \, x^{19} - 446976 \, x^{15} - 139008 \, x^{11} + 70144 \, x^{7} + 11264 \, x^{3} + \sqrt{5} {\left(9172 \, x^{47} - 210451 \, x^{43} - 628290 \, x^{39} + 2143588 \, x^{35} + 8786384 \, x^{31} + 8031184 \, x^{27} + 1024032 \, x^{23} + 498368 \, x^{19} + 118016 \, x^{15} + 44800 \, x^{11} - 33280 \, x^{7} - 5120 \, x^{3}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{5} + 2}\right)} \sqrt{\sqrt{5} + 2} - 256 \, {\left(2073 \, x^{47} + 31642 \, x^{43} + 149420 \, x^{39} + 309672 \, x^{35} + 314176 \, x^{31} + 198976 \, x^{27} + 124608 \, x^{23} + 27520 \, x^{19} - 10496 \, x^{15} + 3584 \, x^{11} + \sqrt{5} {\left(953 \, x^{47} + 10346 \, x^{43} + 54828 \, x^{39} + 165000 \, x^{35} + 269856 \, x^{31} + 208768 \, x^{27} + 52032 \, x^{23} + 5760 \, x^{19} + 6400 \, x^{15} - 1536 \, x^{11}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}} + 8 \, {\left(2 \, \sqrt{5} \sqrt{2} {\left(6759 \, x^{48} + 192756 \, x^{44} + 1338912 \, x^{40} + 3951568 \, x^{36} + 5386016 \, x^{32} + 2908960 \, x^{28} + 366208 \, x^{24} + 417664 \, x^{20} + 157952 \, x^{16} - 25088 \, x^{12} - 9216 \, x^{8}\right)} - \sqrt{x^{4} + 2} {\left(\sqrt{5} \sqrt{2} {\left(12951 \, x^{46} - 734356 \, x^{42} - 4933932 \, x^{38} - 10666960 \, x^{34} - 7733808 \, x^{30} + 208192 \, x^{26} + 222272 \, x^{22} - 739840 \, x^{18} + 166656 \, x^{14} + 22528 \, x^{10} - 5120 \, x^{6}\right)} + \sqrt{2} {\left(3493 \, x^{46} + 2013180 \, x^{42} + 12514388 \, x^{38} + 26406800 \, x^{34} + 18862832 \, x^{30} - 954432 \, x^{26} - 1374912 \, x^{22} + 1328128 \, x^{18} - 426752 \, x^{14} - 55296 \, x^{10} + 11264 \, x^{6}\right)}\right)} \sqrt{\sqrt{5} + 2} + 2 \, \sqrt{2} {\left(19945 \, x^{48} - 252392 \, x^{44} - 2918376 \, x^{40} - 9824736 \, x^{36} - 13811360 \, x^{32} - 6643360 \, x^{28} + 793216 \, x^{24} + 89984 \, x^{20} - 152320 \, x^{16} + 77312 \, x^{12} + 21504 \, x^{8}\right)}\right)} {\left(\sqrt{5} + 2\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{4 \, {\left(x^{6} - 6 \, x^{2} + \sqrt{5} {\left(x^{6} - 2 \, x^{2}\right)}\right)} \sqrt{x^{4} + 2} + {\left(x^{8} - 2 \, x^{4} + \sqrt{5} {\left(x^{8} - 2 \, x^{4} - 4\right)} - 4\right)} \sqrt{\sqrt{5} + 2} - 2 \, {\left({\left(\sqrt{5} \sqrt{2} x^{5} - \sqrt{2} {\left(x^{5} + 4 \, x\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{5} + 2} - 2 \, {\left(\sqrt{5} \sqrt{2} x^{3} - \sqrt{2} {\left(x^{7} - x^{3}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}}\right)} {\left(\sqrt{5} + 2\right)}^{\frac{1}{4}}}{x^{8} - 2 \, x^{4} - 4}} + 4 \, {\left({\left(x^{4} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(60399 \, x^{45} - 2243940 \, x^{41} - 17911864 \, x^{37} - 47674696 \, x^{33} - 51732592 \, x^{29} - 17641088 \, x^{25} - 228224 \, x^{21} - 2926464 \, x^{17} - 241920 \, x^{13} + 77824 \, x^{9} + 57344 \, x^{5} + 6144 \, x\right)} + \sqrt{2} {\left(53127 \, x^{45} + 6673680 \, x^{41} + 45520576 \, x^{37} + 114960072 \, x^{33} + 121770576 \, x^{29} + 42292928 \, x^{25} + 2253056 \, x^{21} + 6572928 \, x^{17} + 80640 \, x^{13} - 283648 \, x^{9} - 141312 \, x^{5} - 14336 \, x\right)}\right)} \sqrt{\sqrt{5} + 2} - {\left(x^{4} + 2\right)}^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(95519 \, x^{47} - 417922 \, x^{43} - 6811916 \, x^{39} - 24252224 \, x^{35} - 38254288 \, x^{31} - 27904608 \, x^{27} - 7052352 \, x^{23} - 93696 \, x^{19} - 1097472 \, x^{15} + 267776 \, x^{11} + 125952 \, x^{7} + 12288 \, x^{3}\right)} + \sqrt{2} {\left(172357 \, x^{47} + 4920726 \, x^{43} + 31853380 \, x^{39} + 88748912 \, x^{35} + 119801296 \, x^{31} + 71833760 \, x^{27} + 10158272 \, x^{23} + 179968 \, x^{19} + 4671232 \, x^{15} - 68096 \, x^{11} - 218112 \, x^{7} - 24576 \, x^{3}\right)}\right)}\right)} {\left(\sqrt{5} + 2\right)}^{\frac{3}{4}} + 32 \, \sqrt{5} {\left(44757 \, x^{48} + 528500 \, x^{44} + 2531006 \, x^{40} + 6388884 \, x^{36} + 9172544 \, x^{32} + 7394272 \, x^{28} + 2846624 \, x^{24} + 106688 \, x^{20} - 75776 \, x^{16} + 115200 \, x^{12} + 15872 \, x^{8} + 1024 \, x^{4}\right)} + 16 \, {\left({\left(91357 \, x^{46} + 1895268 \, x^{42} + 10212936 \, x^{38} + 22875904 \, x^{34} + 22078448 \, x^{30} + 6990272 \, x^{26} + 1117568 \, x^{22} + 2320896 \, x^{18} + 413952 \, x^{14} - 74752 \, x^{10} - 20480 \, x^{6} + \sqrt{5} {\left(47877 \, x^{46} - 154580 \, x^{42} - 2723168 \, x^{38} - 8670208 \, x^{34} - 10594640 \, x^{30} - 3899328 \, x^{26} + 805376 \, x^{22} + 61952 \, x^{18} + 42240 \, x^{14} + 58368 \, x^{10} + 10240 \, x^{6}\right)}\right)} \sqrt{x^{4} + 2} - 2 \, {\left(23987 \, x^{48} + 227560 \, x^{44} + 938350 \, x^{40} + 1981652 \, x^{36} + 1955168 \, x^{32} + 712608 \, x^{28} + 496288 \, x^{24} + 274624 \, x^{20} - 612864 \, x^{16} + 116224 \, x^{12} - 8704 \, x^{8} - 7168 \, x^{4} + 2 \, \sqrt{5} {\left(5352 \, x^{48} + 52677 \, x^{44} + 202941 \, x^{40} + 418518 \, x^{36} + 526744 \, x^{32} + 300896 \, x^{28} - 223888 \, x^{24} - 296544 \, x^{20} + 36992 \, x^{16} - 43520 \, x^{12} + 256 \, x^{8} + 1536 \, x^{4}\right)}\right)} \sqrt{\sqrt{5} + 2}\right)} \sqrt{\sqrt{5} + 2} - 32 \, {\left(2 \, {\left(x^{4} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(11608 \, x^{45} + 30607 \, x^{41} - 58200 \, x^{37} - 138724 \, x^{33} + 244200 \, x^{29} + 571344 \, x^{25} + 243360 \, x^{21} + 38272 \, x^{17} + 128 \, x^{13} + 3584 \, x^{9}\right)} + \sqrt{2} {\left(24419 \, x^{45} + 289341 \, x^{41} + 1254508 \, x^{37} + 2575396 \, x^{33} + 2690040 \, x^{29} + 1562960 \, x^{25} + 649760 \, x^{21} + 125952 \, x^{17} + 20608 \, x^{13} - 7168 \, x^{9}\right)}\right)} - {\left(x^{4} + 2\right)}^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(9667 \, x^{47} + 271524 \, x^{43} + 1604384 \, x^{39} + 3720976 \, x^{35} + 3252512 \, x^{31} - 143712 \, x^{27} - 1076608 \, x^{23} + 108928 \, x^{19} - 15104 \, x^{15} - 39424 \, x^{11} + 3072 \, x^{7}\right)} + \sqrt{2} {\left(27805 \, x^{47} - 275016 \, x^{43} - 3020872 \, x^{39} - 9166816 \, x^{35} - 11334816 \, x^{31} - 4883488 \, x^{27} - 483712 \, x^{23} - 1009280 \, x^{19} - 75520 \, x^{15} + 79360 \, x^{11} - 7168 \, x^{7}\right)}\right)} \sqrt{\sqrt{5} + 2}\right)} {\left(\sqrt{5} + 2\right)}^{\frac{1}{4}} + 16384}{4 \, {\left(60929 \, x^{48} - 8635020 \, x^{44} - 72157788 \, x^{40} - 223468208 \, x^{36} - 314189280 \, x^{32} - 181711040 \, x^{28} - 22351296 \, x^{24} - 8686848 \, x^{20} - 7921152 \, x^{16} + 1174528 \, x^{12} + 500736 \, x^{8} + 77824 \, x^{4} + 4096\right)}}\right) + \sqrt{5} \sqrt{2} x^{5} {\left(\sqrt{5} + 2\right)}^{\frac{1}{4}} \log\left(\frac{2 \, {\left(4 \, {\left(x^{6} - 6 \, x^{2} + \sqrt{5} {\left(x^{6} - 2 \, x^{2}\right)}\right)} \sqrt{x^{4} + 2} + {\left(x^{8} - 2 \, x^{4} + \sqrt{5} {\left(x^{8} - 2 \, x^{4} - 4\right)} - 4\right)} \sqrt{\sqrt{5} + 2} + 2 \, {\left({\left(\sqrt{5} \sqrt{2} x^{5} - \sqrt{2} {\left(x^{5} + 4 \, x\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{5} + 2} - 2 \, {\left(\sqrt{5} \sqrt{2} x^{3} - \sqrt{2} {\left(x^{7} - x^{3}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}}\right)} {\left(\sqrt{5} + 2\right)}^{\frac{1}{4}}\right)}}{x^{8} - 2 \, x^{4} - 4}\right) - \sqrt{5} \sqrt{2} x^{5} {\left(\sqrt{5} + 2\right)}^{\frac{1}{4}} \log\left(\frac{2 \, {\left(4 \, {\left(x^{6} - 6 \, x^{2} + \sqrt{5} {\left(x^{6} - 2 \, x^{2}\right)}\right)} \sqrt{x^{4} + 2} + {\left(x^{8} - 2 \, x^{4} + \sqrt{5} {\left(x^{8} - 2 \, x^{4} - 4\right)} - 4\right)} \sqrt{\sqrt{5} + 2} - 2 \, {\left({\left(\sqrt{5} \sqrt{2} x^{5} - \sqrt{2} {\left(x^{5} + 4 \, x\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{5} + 2} - 2 \, {\left(\sqrt{5} \sqrt{2} x^{3} - \sqrt{2} {\left(x^{7} - x^{3}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}}\right)} {\left(\sqrt{5} + 2\right)}^{\frac{1}{4}}\right)}}{x^{8} - 2 \, x^{4} - 4}\right) + 8 \, \sqrt{5} x^{5} {\left(\sqrt{5} - 2\right)}^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(11 \, x^{8} + 22 \, x^{4} + 2 \, {\left(11 \, x^{6} + 14 \, x^{2} + \sqrt{5} {\left(5 \, x^{6} + 6 \, x^{2}\right)}\right)} \sqrt{x^{4} + 2} \sqrt{\sqrt{5} - 2} + \sqrt{5} {\left(5 \, x^{8} + 10 \, x^{4} + 4\right)} + 12\right)} \sqrt{{\left(\sqrt{5} - 1\right)} \sqrt{\sqrt{5} - 2}} {\left(\sqrt{5} - 2\right)}^{\frac{1}{4}} + 4 \, {\left({\left(3 \, x^{5} + \sqrt{5} {\left(x^{5} + 2 \, x\right)} + 2 \, x\right)} {\left(x^{4} + 2\right)}^{\frac{3}{4}} + {\left(7 \, x^{7} + 8 \, x^{3} + \sqrt{5} {\left(3 \, x^{7} + 4 \, x^{3}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{5} - 2}\right)} {\left(\sqrt{5} - 2\right)}^{\frac{1}{4}}}{4 \, {\left(x^{8} - 2 \, x^{4} - 4\right)}}\right) + 2 \, \sqrt{5} x^{5} {\left(\sqrt{5} - 2\right)}^{\frac{1}{4}} \log\left(\frac{4 \, {\left(x^{5} + \sqrt{5} x - x\right)} {\left(x^{4} + 2\right)}^{\frac{3}{4}} + 2 \, {\left(3 \, x^{7} + 2 \, x^{3} + \sqrt{5} {\left(x^{7} + 2 \, x^{3}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{5} - 2} + {\left(2 \, {\left(\sqrt{5} x^{6} + x^{6} + 4 \, x^{2}\right)} \sqrt{x^{4} + 2} + {\left(7 \, x^{8} + 14 \, x^{4} + \sqrt{5} {\left(3 \, x^{8} + 6 \, x^{4} + 4\right)} + 4\right)} \sqrt{\sqrt{5} - 2}\right)} {\left(\sqrt{5} - 2\right)}^{\frac{1}{4}}}{x^{8} - 2 \, x^{4} - 4}\right) - 2 \, \sqrt{5} x^{5} {\left(\sqrt{5} - 2\right)}^{\frac{1}{4}} \log\left(\frac{4 \, {\left(x^{5} + \sqrt{5} x - x\right)} {\left(x^{4} + 2\right)}^{\frac{3}{4}} + 2 \, {\left(3 \, x^{7} + 2 \, x^{3} + \sqrt{5} {\left(x^{7} + 2 \, x^{3}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{5} - 2} - {\left(2 \, {\left(\sqrt{5} x^{6} + x^{6} + 4 \, x^{2}\right)} \sqrt{x^{4} + 2} + {\left(7 \, x^{8} + 14 \, x^{4} + \sqrt{5} {\left(3 \, x^{8} + 6 \, x^{4} + 4\right)} + 4\right)} \sqrt{\sqrt{5} - 2}\right)} {\left(\sqrt{5} - 2\right)}^{\frac{1}{4}}}{x^{8} - 2 \, x^{4} - 4}\right) - 32 \, {\left(2 \, x^{4} - 1\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}}}{160 \, x^{5}}"," ",0,"-1/160*(4*sqrt(5)*sqrt(2)*x^5*(sqrt(5) + 2)^(1/4)*arctan(-1/4*(3205700*x^48 + 37345168*x^44 + 180959952*x^40 + 465140928*x^36 + 664687232*x^32 + 494124288*x^28 + 141907200*x^24 - 6450176*x^20 + 1075200*x^16 + 2797568*x^12 + 1691648*x^8 + 278528*x^4 - 16*(95823*x^46 + 1251203*x^42 + 6523442*x^38 + 16526620*x^34 + 19670784*x^30 + 7602736*x^26 - 1179424*x^22 + 1387328*x^18 + 445952*x^14 - 243456*x^10 - 46592*x^6 - 3072*x^2 + sqrt(5)*(48196*x^46 - 196187*x^42 - 3617546*x^38 - 13241892*x^34 - 19800240*x^30 - 11105648*x^26 - 526432*x^22 - 398016*x^18 - 373504*x^14 + 58112*x^10 + 13824*x^6 + 1024*x^2))*sqrt(x^4 + 2)*sqrt(sqrt(5) + 2) + sqrt(2)*(32*(4449*x^45 + 634636*x^41 + 3555644*x^37 + 6358496*x^33 + 2708704*x^29 - 1547296*x^25 + 190272*x^21 + 181376*x^17 - 108800*x^13 + 5632*x^9 + sqrt(5)*(5925*x^45 - 282704*x^41 - 1807476*x^37 - 3570256*x^33 - 2134720*x^29 + 190240*x^25 - 209984*x^21 - 98176*x^17 + 47360*x^13 - 2560*x^9))*(x^4 + 2)^(3/4)*sqrt(sqrt(5) + 2) - (2*sqrt(x^4 + 2)*(sqrt(5)*sqrt(2)*(10653*x^46 + 2956548*x^42 + 20110664*x^38 + 50652360*x^34 + 56023600*x^30 + 25198208*x^26 + 3725952*x^22 + 757632*x^18 + 1234176*x^14 - 217088*x^10 - 77824*x^6 - 6144*x^2) + sqrt(2)*(108077*x^46 - 5431312*x^42 - 40263280*x^38 - 102843464*x^34 - 112864528*x^30 - 50417856*x^26 - 9076224*x^22 - 2229120*x^18 - 2436864*x^14 + 578560*x^10 + 186368*x^6 + 14336*x^2)) + (sqrt(5)*sqrt(2)*(28915*x^48 - 8366472*x^44 - 80621076*x^40 - 293448080*x^36 - 499554944*x^32 - 380351744*x^28 - 90915392*x^24 - 11139840*x^20 - 17656832*x^16 + 94208*x^12 + 1137664*x^8 + 290816*x^4 + 20480) - sqrt(2)*(190537*x^48 - 17103640*x^44 - 172683372*x^40 - 639099216*x^36 - 1098574144*x^32 - 842361344*x^28 - 201443776*x^24 - 22353664*x^20 - 38754304*x^16 - 204800*x^12 + 2425856*x^8 + 634880*x^4 + 45056))*sqrt(sqrt(5) + 2))*(sqrt(5) + 2)^(3/4) - 8*(4*(11786*x^45 - 418982*x^41 - 3153502*x^37 - 7711008*x^33 - 7243648*x^29 - 1668480*x^25 + 72544*x^21 - 338048*x^17 + 23296*x^13 + 30720*x^9 + 3584*x^5 + sqrt(5)*(2097*x^45 + 266982*x^41 + 1696566*x^37 + 3848848*x^33 + 3350352*x^29 + 602560*x^25 - 43104*x^21 + 200064*x^17 + 1536*x^13 - 12288*x^9 - 1536*x^5))*(x^4 + 2)^(3/4) - (12471*x^47 + 710367*x^43 + 2116698*x^39 - 3578860*x^35 - 18142976*x^31 - 16588112*x^27 - 1714848*x^23 - 1272384*x^19 - 446976*x^15 - 139008*x^11 + 70144*x^7 + 11264*x^3 + sqrt(5)*(9172*x^47 - 210451*x^43 - 628290*x^39 + 2143588*x^35 + 8786384*x^31 + 8031184*x^27 + 1024032*x^23 + 498368*x^19 + 118016*x^15 + 44800*x^11 - 33280*x^7 - 5120*x^3))*(x^4 + 2)^(1/4)*sqrt(sqrt(5) + 2))*sqrt(sqrt(5) + 2) - 256*(2073*x^47 + 31642*x^43 + 149420*x^39 + 309672*x^35 + 314176*x^31 + 198976*x^27 + 124608*x^23 + 27520*x^19 - 10496*x^15 + 3584*x^11 + sqrt(5)*(953*x^47 + 10346*x^43 + 54828*x^39 + 165000*x^35 + 269856*x^31 + 208768*x^27 + 52032*x^23 + 5760*x^19 + 6400*x^15 - 1536*x^11))*(x^4 + 2)^(1/4) - 8*(2*sqrt(5)*sqrt(2)*(6759*x^48 + 192756*x^44 + 1338912*x^40 + 3951568*x^36 + 5386016*x^32 + 2908960*x^28 + 366208*x^24 + 417664*x^20 + 157952*x^16 - 25088*x^12 - 9216*x^8) - sqrt(x^4 + 2)*(sqrt(5)*sqrt(2)*(12951*x^46 - 734356*x^42 - 4933932*x^38 - 10666960*x^34 - 7733808*x^30 + 208192*x^26 + 222272*x^22 - 739840*x^18 + 166656*x^14 + 22528*x^10 - 5120*x^6) + sqrt(2)*(3493*x^46 + 2013180*x^42 + 12514388*x^38 + 26406800*x^34 + 18862832*x^30 - 954432*x^26 - 1374912*x^22 + 1328128*x^18 - 426752*x^14 - 55296*x^10 + 11264*x^6))*sqrt(sqrt(5) + 2) + 2*sqrt(2)*(19945*x^48 - 252392*x^44 - 2918376*x^40 - 9824736*x^36 - 13811360*x^32 - 6643360*x^28 + 793216*x^24 + 89984*x^20 - 152320*x^16 + 77312*x^12 + 21504*x^8))*(sqrt(5) + 2)^(1/4))*sqrt((4*(x^6 - 6*x^2 + sqrt(5)*(x^6 - 2*x^2))*sqrt(x^4 + 2) + (x^8 - 2*x^4 + sqrt(5)*(x^8 - 2*x^4 - 4) - 4)*sqrt(sqrt(5) + 2) + 2*((sqrt(5)*sqrt(2)*x^5 - sqrt(2)*(x^5 + 4*x))*(x^4 + 2)^(3/4)*sqrt(sqrt(5) + 2) - 2*(sqrt(5)*sqrt(2)*x^3 - sqrt(2)*(x^7 - x^3))*(x^4 + 2)^(1/4))*(sqrt(5) + 2)^(1/4))/(x^8 - 2*x^4 - 4)) - 4*((x^4 + 2)^(3/4)*(sqrt(5)*sqrt(2)*(60399*x^45 - 2243940*x^41 - 17911864*x^37 - 47674696*x^33 - 51732592*x^29 - 17641088*x^25 - 228224*x^21 - 2926464*x^17 - 241920*x^13 + 77824*x^9 + 57344*x^5 + 6144*x) + sqrt(2)*(53127*x^45 + 6673680*x^41 + 45520576*x^37 + 114960072*x^33 + 121770576*x^29 + 42292928*x^25 + 2253056*x^21 + 6572928*x^17 + 80640*x^13 - 283648*x^9 - 141312*x^5 - 14336*x))*sqrt(sqrt(5) + 2) - (x^4 + 2)^(1/4)*(sqrt(5)*sqrt(2)*(95519*x^47 - 417922*x^43 - 6811916*x^39 - 24252224*x^35 - 38254288*x^31 - 27904608*x^27 - 7052352*x^23 - 93696*x^19 - 1097472*x^15 + 267776*x^11 + 125952*x^7 + 12288*x^3) + sqrt(2)*(172357*x^47 + 4920726*x^43 + 31853380*x^39 + 88748912*x^35 + 119801296*x^31 + 71833760*x^27 + 10158272*x^23 + 179968*x^19 + 4671232*x^15 - 68096*x^11 - 218112*x^7 - 24576*x^3)))*(sqrt(5) + 2)^(3/4) + 32*sqrt(5)*(44757*x^48 + 528500*x^44 + 2531006*x^40 + 6388884*x^36 + 9172544*x^32 + 7394272*x^28 + 2846624*x^24 + 106688*x^20 - 75776*x^16 + 115200*x^12 + 15872*x^8 + 1024*x^4) + 16*((91357*x^46 + 1895268*x^42 + 10212936*x^38 + 22875904*x^34 + 22078448*x^30 + 6990272*x^26 + 1117568*x^22 + 2320896*x^18 + 413952*x^14 - 74752*x^10 - 20480*x^6 + sqrt(5)*(47877*x^46 - 154580*x^42 - 2723168*x^38 - 8670208*x^34 - 10594640*x^30 - 3899328*x^26 + 805376*x^22 + 61952*x^18 + 42240*x^14 + 58368*x^10 + 10240*x^6))*sqrt(x^4 + 2) - 2*(23987*x^48 + 227560*x^44 + 938350*x^40 + 1981652*x^36 + 1955168*x^32 + 712608*x^28 + 496288*x^24 + 274624*x^20 - 612864*x^16 + 116224*x^12 - 8704*x^8 - 7168*x^4 + 2*sqrt(5)*(5352*x^48 + 52677*x^44 + 202941*x^40 + 418518*x^36 + 526744*x^32 + 300896*x^28 - 223888*x^24 - 296544*x^20 + 36992*x^16 - 43520*x^12 + 256*x^8 + 1536*x^4))*sqrt(sqrt(5) + 2))*sqrt(sqrt(5) + 2) + 32*(2*(x^4 + 2)^(3/4)*(sqrt(5)*sqrt(2)*(11608*x^45 + 30607*x^41 - 58200*x^37 - 138724*x^33 + 244200*x^29 + 571344*x^25 + 243360*x^21 + 38272*x^17 + 128*x^13 + 3584*x^9) + sqrt(2)*(24419*x^45 + 289341*x^41 + 1254508*x^37 + 2575396*x^33 + 2690040*x^29 + 1562960*x^25 + 649760*x^21 + 125952*x^17 + 20608*x^13 - 7168*x^9)) - (x^4 + 2)^(1/4)*(sqrt(5)*sqrt(2)*(9667*x^47 + 271524*x^43 + 1604384*x^39 + 3720976*x^35 + 3252512*x^31 - 143712*x^27 - 1076608*x^23 + 108928*x^19 - 15104*x^15 - 39424*x^11 + 3072*x^7) + sqrt(2)*(27805*x^47 - 275016*x^43 - 3020872*x^39 - 9166816*x^35 - 11334816*x^31 - 4883488*x^27 - 483712*x^23 - 1009280*x^19 - 75520*x^15 + 79360*x^11 - 7168*x^7))*sqrt(sqrt(5) + 2))*(sqrt(5) + 2)^(1/4) + 16384)/(60929*x^48 - 8635020*x^44 - 72157788*x^40 - 223468208*x^36 - 314189280*x^32 - 181711040*x^28 - 22351296*x^24 - 8686848*x^20 - 7921152*x^16 + 1174528*x^12 + 500736*x^8 + 77824*x^4 + 4096)) + 4*sqrt(5)*sqrt(2)*x^5*(sqrt(5) + 2)^(1/4)*arctan(1/4*(3205700*x^48 + 37345168*x^44 + 180959952*x^40 + 465140928*x^36 + 664687232*x^32 + 494124288*x^28 + 141907200*x^24 - 6450176*x^20 + 1075200*x^16 + 2797568*x^12 + 1691648*x^8 + 278528*x^4 - 16*(95823*x^46 + 1251203*x^42 + 6523442*x^38 + 16526620*x^34 + 19670784*x^30 + 7602736*x^26 - 1179424*x^22 + 1387328*x^18 + 445952*x^14 - 243456*x^10 - 46592*x^6 - 3072*x^2 + sqrt(5)*(48196*x^46 - 196187*x^42 - 3617546*x^38 - 13241892*x^34 - 19800240*x^30 - 11105648*x^26 - 526432*x^22 - 398016*x^18 - 373504*x^14 + 58112*x^10 + 13824*x^6 + 1024*x^2))*sqrt(x^4 + 2)*sqrt(sqrt(5) + 2) + sqrt(2)*(32*(4449*x^45 + 634636*x^41 + 3555644*x^37 + 6358496*x^33 + 2708704*x^29 - 1547296*x^25 + 190272*x^21 + 181376*x^17 - 108800*x^13 + 5632*x^9 + sqrt(5)*(5925*x^45 - 282704*x^41 - 1807476*x^37 - 3570256*x^33 - 2134720*x^29 + 190240*x^25 - 209984*x^21 - 98176*x^17 + 47360*x^13 - 2560*x^9))*(x^4 + 2)^(3/4)*sqrt(sqrt(5) + 2) + (2*sqrt(x^4 + 2)*(sqrt(5)*sqrt(2)*(10653*x^46 + 2956548*x^42 + 20110664*x^38 + 50652360*x^34 + 56023600*x^30 + 25198208*x^26 + 3725952*x^22 + 757632*x^18 + 1234176*x^14 - 217088*x^10 - 77824*x^6 - 6144*x^2) + sqrt(2)*(108077*x^46 - 5431312*x^42 - 40263280*x^38 - 102843464*x^34 - 112864528*x^30 - 50417856*x^26 - 9076224*x^22 - 2229120*x^18 - 2436864*x^14 + 578560*x^10 + 186368*x^6 + 14336*x^2)) + (sqrt(5)*sqrt(2)*(28915*x^48 - 8366472*x^44 - 80621076*x^40 - 293448080*x^36 - 499554944*x^32 - 380351744*x^28 - 90915392*x^24 - 11139840*x^20 - 17656832*x^16 + 94208*x^12 + 1137664*x^8 + 290816*x^4 + 20480) - sqrt(2)*(190537*x^48 - 17103640*x^44 - 172683372*x^40 - 639099216*x^36 - 1098574144*x^32 - 842361344*x^28 - 201443776*x^24 - 22353664*x^20 - 38754304*x^16 - 204800*x^12 + 2425856*x^8 + 634880*x^4 + 45056))*sqrt(sqrt(5) + 2))*(sqrt(5) + 2)^(3/4) - 8*(4*(11786*x^45 - 418982*x^41 - 3153502*x^37 - 7711008*x^33 - 7243648*x^29 - 1668480*x^25 + 72544*x^21 - 338048*x^17 + 23296*x^13 + 30720*x^9 + 3584*x^5 + sqrt(5)*(2097*x^45 + 266982*x^41 + 1696566*x^37 + 3848848*x^33 + 3350352*x^29 + 602560*x^25 - 43104*x^21 + 200064*x^17 + 1536*x^13 - 12288*x^9 - 1536*x^5))*(x^4 + 2)^(3/4) - (12471*x^47 + 710367*x^43 + 2116698*x^39 - 3578860*x^35 - 18142976*x^31 - 16588112*x^27 - 1714848*x^23 - 1272384*x^19 - 446976*x^15 - 139008*x^11 + 70144*x^7 + 11264*x^3 + sqrt(5)*(9172*x^47 - 210451*x^43 - 628290*x^39 + 2143588*x^35 + 8786384*x^31 + 8031184*x^27 + 1024032*x^23 + 498368*x^19 + 118016*x^15 + 44800*x^11 - 33280*x^7 - 5120*x^3))*(x^4 + 2)^(1/4)*sqrt(sqrt(5) + 2))*sqrt(sqrt(5) + 2) - 256*(2073*x^47 + 31642*x^43 + 149420*x^39 + 309672*x^35 + 314176*x^31 + 198976*x^27 + 124608*x^23 + 27520*x^19 - 10496*x^15 + 3584*x^11 + sqrt(5)*(953*x^47 + 10346*x^43 + 54828*x^39 + 165000*x^35 + 269856*x^31 + 208768*x^27 + 52032*x^23 + 5760*x^19 + 6400*x^15 - 1536*x^11))*(x^4 + 2)^(1/4) + 8*(2*sqrt(5)*sqrt(2)*(6759*x^48 + 192756*x^44 + 1338912*x^40 + 3951568*x^36 + 5386016*x^32 + 2908960*x^28 + 366208*x^24 + 417664*x^20 + 157952*x^16 - 25088*x^12 - 9216*x^8) - sqrt(x^4 + 2)*(sqrt(5)*sqrt(2)*(12951*x^46 - 734356*x^42 - 4933932*x^38 - 10666960*x^34 - 7733808*x^30 + 208192*x^26 + 222272*x^22 - 739840*x^18 + 166656*x^14 + 22528*x^10 - 5120*x^6) + sqrt(2)*(3493*x^46 + 2013180*x^42 + 12514388*x^38 + 26406800*x^34 + 18862832*x^30 - 954432*x^26 - 1374912*x^22 + 1328128*x^18 - 426752*x^14 - 55296*x^10 + 11264*x^6))*sqrt(sqrt(5) + 2) + 2*sqrt(2)*(19945*x^48 - 252392*x^44 - 2918376*x^40 - 9824736*x^36 - 13811360*x^32 - 6643360*x^28 + 793216*x^24 + 89984*x^20 - 152320*x^16 + 77312*x^12 + 21504*x^8))*(sqrt(5) + 2)^(1/4))*sqrt((4*(x^6 - 6*x^2 + sqrt(5)*(x^6 - 2*x^2))*sqrt(x^4 + 2) + (x^8 - 2*x^4 + sqrt(5)*(x^8 - 2*x^4 - 4) - 4)*sqrt(sqrt(5) + 2) - 2*((sqrt(5)*sqrt(2)*x^5 - sqrt(2)*(x^5 + 4*x))*(x^4 + 2)^(3/4)*sqrt(sqrt(5) + 2) - 2*(sqrt(5)*sqrt(2)*x^3 - sqrt(2)*(x^7 - x^3))*(x^4 + 2)^(1/4))*(sqrt(5) + 2)^(1/4))/(x^8 - 2*x^4 - 4)) + 4*((x^4 + 2)^(3/4)*(sqrt(5)*sqrt(2)*(60399*x^45 - 2243940*x^41 - 17911864*x^37 - 47674696*x^33 - 51732592*x^29 - 17641088*x^25 - 228224*x^21 - 2926464*x^17 - 241920*x^13 + 77824*x^9 + 57344*x^5 + 6144*x) + sqrt(2)*(53127*x^45 + 6673680*x^41 + 45520576*x^37 + 114960072*x^33 + 121770576*x^29 + 42292928*x^25 + 2253056*x^21 + 6572928*x^17 + 80640*x^13 - 283648*x^9 - 141312*x^5 - 14336*x))*sqrt(sqrt(5) + 2) - (x^4 + 2)^(1/4)*(sqrt(5)*sqrt(2)*(95519*x^47 - 417922*x^43 - 6811916*x^39 - 24252224*x^35 - 38254288*x^31 - 27904608*x^27 - 7052352*x^23 - 93696*x^19 - 1097472*x^15 + 267776*x^11 + 125952*x^7 + 12288*x^3) + sqrt(2)*(172357*x^47 + 4920726*x^43 + 31853380*x^39 + 88748912*x^35 + 119801296*x^31 + 71833760*x^27 + 10158272*x^23 + 179968*x^19 + 4671232*x^15 - 68096*x^11 - 218112*x^7 - 24576*x^3)))*(sqrt(5) + 2)^(3/4) + 32*sqrt(5)*(44757*x^48 + 528500*x^44 + 2531006*x^40 + 6388884*x^36 + 9172544*x^32 + 7394272*x^28 + 2846624*x^24 + 106688*x^20 - 75776*x^16 + 115200*x^12 + 15872*x^8 + 1024*x^4) + 16*((91357*x^46 + 1895268*x^42 + 10212936*x^38 + 22875904*x^34 + 22078448*x^30 + 6990272*x^26 + 1117568*x^22 + 2320896*x^18 + 413952*x^14 - 74752*x^10 - 20480*x^6 + sqrt(5)*(47877*x^46 - 154580*x^42 - 2723168*x^38 - 8670208*x^34 - 10594640*x^30 - 3899328*x^26 + 805376*x^22 + 61952*x^18 + 42240*x^14 + 58368*x^10 + 10240*x^6))*sqrt(x^4 + 2) - 2*(23987*x^48 + 227560*x^44 + 938350*x^40 + 1981652*x^36 + 1955168*x^32 + 712608*x^28 + 496288*x^24 + 274624*x^20 - 612864*x^16 + 116224*x^12 - 8704*x^8 - 7168*x^4 + 2*sqrt(5)*(5352*x^48 + 52677*x^44 + 202941*x^40 + 418518*x^36 + 526744*x^32 + 300896*x^28 - 223888*x^24 - 296544*x^20 + 36992*x^16 - 43520*x^12 + 256*x^8 + 1536*x^4))*sqrt(sqrt(5) + 2))*sqrt(sqrt(5) + 2) - 32*(2*(x^4 + 2)^(3/4)*(sqrt(5)*sqrt(2)*(11608*x^45 + 30607*x^41 - 58200*x^37 - 138724*x^33 + 244200*x^29 + 571344*x^25 + 243360*x^21 + 38272*x^17 + 128*x^13 + 3584*x^9) + sqrt(2)*(24419*x^45 + 289341*x^41 + 1254508*x^37 + 2575396*x^33 + 2690040*x^29 + 1562960*x^25 + 649760*x^21 + 125952*x^17 + 20608*x^13 - 7168*x^9)) - (x^4 + 2)^(1/4)*(sqrt(5)*sqrt(2)*(9667*x^47 + 271524*x^43 + 1604384*x^39 + 3720976*x^35 + 3252512*x^31 - 143712*x^27 - 1076608*x^23 + 108928*x^19 - 15104*x^15 - 39424*x^11 + 3072*x^7) + sqrt(2)*(27805*x^47 - 275016*x^43 - 3020872*x^39 - 9166816*x^35 - 11334816*x^31 - 4883488*x^27 - 483712*x^23 - 1009280*x^19 - 75520*x^15 + 79360*x^11 - 7168*x^7))*sqrt(sqrt(5) + 2))*(sqrt(5) + 2)^(1/4) + 16384)/(60929*x^48 - 8635020*x^44 - 72157788*x^40 - 223468208*x^36 - 314189280*x^32 - 181711040*x^28 - 22351296*x^24 - 8686848*x^20 - 7921152*x^16 + 1174528*x^12 + 500736*x^8 + 77824*x^4 + 4096)) + sqrt(5)*sqrt(2)*x^5*(sqrt(5) + 2)^(1/4)*log(2*(4*(x^6 - 6*x^2 + sqrt(5)*(x^6 - 2*x^2))*sqrt(x^4 + 2) + (x^8 - 2*x^4 + sqrt(5)*(x^8 - 2*x^4 - 4) - 4)*sqrt(sqrt(5) + 2) + 2*((sqrt(5)*sqrt(2)*x^5 - sqrt(2)*(x^5 + 4*x))*(x^4 + 2)^(3/4)*sqrt(sqrt(5) + 2) - 2*(sqrt(5)*sqrt(2)*x^3 - sqrt(2)*(x^7 - x^3))*(x^4 + 2)^(1/4))*(sqrt(5) + 2)^(1/4))/(x^8 - 2*x^4 - 4)) - sqrt(5)*sqrt(2)*x^5*(sqrt(5) + 2)^(1/4)*log(2*(4*(x^6 - 6*x^2 + sqrt(5)*(x^6 - 2*x^2))*sqrt(x^4 + 2) + (x^8 - 2*x^4 + sqrt(5)*(x^8 - 2*x^4 - 4) - 4)*sqrt(sqrt(5) + 2) - 2*((sqrt(5)*sqrt(2)*x^5 - sqrt(2)*(x^5 + 4*x))*(x^4 + 2)^(3/4)*sqrt(sqrt(5) + 2) - 2*(sqrt(5)*sqrt(2)*x^3 - sqrt(2)*(x^7 - x^3))*(x^4 + 2)^(1/4))*(sqrt(5) + 2)^(1/4))/(x^8 - 2*x^4 - 4)) + 8*sqrt(5)*x^5*(sqrt(5) - 2)^(1/4)*arctan(1/4*(sqrt(2)*(11*x^8 + 22*x^4 + 2*(11*x^6 + 14*x^2 + sqrt(5)*(5*x^6 + 6*x^2))*sqrt(x^4 + 2)*sqrt(sqrt(5) - 2) + sqrt(5)*(5*x^8 + 10*x^4 + 4) + 12)*sqrt((sqrt(5) - 1)*sqrt(sqrt(5) - 2))*(sqrt(5) - 2)^(1/4) + 4*((3*x^5 + sqrt(5)*(x^5 + 2*x) + 2*x)*(x^4 + 2)^(3/4) + (7*x^7 + 8*x^3 + sqrt(5)*(3*x^7 + 4*x^3))*(x^4 + 2)^(1/4)*sqrt(sqrt(5) - 2))*(sqrt(5) - 2)^(1/4))/(x^8 - 2*x^4 - 4)) + 2*sqrt(5)*x^5*(sqrt(5) - 2)^(1/4)*log((4*(x^5 + sqrt(5)*x - x)*(x^4 + 2)^(3/4) + 2*(3*x^7 + 2*x^3 + sqrt(5)*(x^7 + 2*x^3))*(x^4 + 2)^(1/4)*sqrt(sqrt(5) - 2) + (2*(sqrt(5)*x^6 + x^6 + 4*x^2)*sqrt(x^4 + 2) + (7*x^8 + 14*x^4 + sqrt(5)*(3*x^8 + 6*x^4 + 4) + 4)*sqrt(sqrt(5) - 2))*(sqrt(5) - 2)^(1/4))/(x^8 - 2*x^4 - 4)) - 2*sqrt(5)*x^5*(sqrt(5) - 2)^(1/4)*log((4*(x^5 + sqrt(5)*x - x)*(x^4 + 2)^(3/4) + 2*(3*x^7 + 2*x^3 + sqrt(5)*(x^7 + 2*x^3))*(x^4 + 2)^(1/4)*sqrt(sqrt(5) - 2) - (2*(sqrt(5)*x^6 + x^6 + 4*x^2)*sqrt(x^4 + 2) + (7*x^8 + 14*x^4 + sqrt(5)*(3*x^8 + 6*x^4 + 4) + 4)*sqrt(sqrt(5) - 2))*(sqrt(5) - 2)^(1/4))/(x^8 - 2*x^4 - 4)) - 32*(2*x^4 - 1)*(x^4 + 2)^(1/4))/x^5","B",0
1068,1,5805,0,14.535833," ","integrate((x^4+2)^(1/4)*(x^8-4)/x^6/(x^8-2*x^4-4),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{5} \sqrt{2} x^{5} {\left(\sqrt{5} + 2\right)}^{\frac{1}{4}} \arctan\left(-\frac{3205700 \, x^{48} + 37345168 \, x^{44} + 180959952 \, x^{40} + 465140928 \, x^{36} + 664687232 \, x^{32} + 494124288 \, x^{28} + 141907200 \, x^{24} - 6450176 \, x^{20} + 1075200 \, x^{16} + 2797568 \, x^{12} + 1691648 \, x^{8} + 278528 \, x^{4} - 16 \, {\left(95823 \, x^{46} + 1251203 \, x^{42} + 6523442 \, x^{38} + 16526620 \, x^{34} + 19670784 \, x^{30} + 7602736 \, x^{26} - 1179424 \, x^{22} + 1387328 \, x^{18} + 445952 \, x^{14} - 243456 \, x^{10} - 46592 \, x^{6} - 3072 \, x^{2} + \sqrt{5} {\left(48196 \, x^{46} - 196187 \, x^{42} - 3617546 \, x^{38} - 13241892 \, x^{34} - 19800240 \, x^{30} - 11105648 \, x^{26} - 526432 \, x^{22} - 398016 \, x^{18} - 373504 \, x^{14} + 58112 \, x^{10} + 13824 \, x^{6} + 1024 \, x^{2}\right)}\right)} \sqrt{x^{4} + 2} \sqrt{\sqrt{5} + 2} + \sqrt{2} {\left(32 \, {\left(4449 \, x^{45} + 634636 \, x^{41} + 3555644 \, x^{37} + 6358496 \, x^{33} + 2708704 \, x^{29} - 1547296 \, x^{25} + 190272 \, x^{21} + 181376 \, x^{17} - 108800 \, x^{13} + 5632 \, x^{9} + \sqrt{5} {\left(5925 \, x^{45} - 282704 \, x^{41} - 1807476 \, x^{37} - 3570256 \, x^{33} - 2134720 \, x^{29} + 190240 \, x^{25} - 209984 \, x^{21} - 98176 \, x^{17} + 47360 \, x^{13} - 2560 \, x^{9}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{5} + 2} - {\left(2 \, \sqrt{x^{4} + 2} {\left(\sqrt{5} \sqrt{2} {\left(10653 \, x^{46} + 2956548 \, x^{42} + 20110664 \, x^{38} + 50652360 \, x^{34} + 56023600 \, x^{30} + 25198208 \, x^{26} + 3725952 \, x^{22} + 757632 \, x^{18} + 1234176 \, x^{14} - 217088 \, x^{10} - 77824 \, x^{6} - 6144 \, x^{2}\right)} + \sqrt{2} {\left(108077 \, x^{46} - 5431312 \, x^{42} - 40263280 \, x^{38} - 102843464 \, x^{34} - 112864528 \, x^{30} - 50417856 \, x^{26} - 9076224 \, x^{22} - 2229120 \, x^{18} - 2436864 \, x^{14} + 578560 \, x^{10} + 186368 \, x^{6} + 14336 \, x^{2}\right)}\right)} + {\left(\sqrt{5} \sqrt{2} {\left(28915 \, x^{48} - 8366472 \, x^{44} - 80621076 \, x^{40} - 293448080 \, x^{36} - 499554944 \, x^{32} - 380351744 \, x^{28} - 90915392 \, x^{24} - 11139840 \, x^{20} - 17656832 \, x^{16} + 94208 \, x^{12} + 1137664 \, x^{8} + 290816 \, x^{4} + 20480\right)} - \sqrt{2} {\left(190537 \, x^{48} - 17103640 \, x^{44} - 172683372 \, x^{40} - 639099216 \, x^{36} - 1098574144 \, x^{32} - 842361344 \, x^{28} - 201443776 \, x^{24} - 22353664 \, x^{20} - 38754304 \, x^{16} - 204800 \, x^{12} + 2425856 \, x^{8} + 634880 \, x^{4} + 45056\right)}\right)} \sqrt{\sqrt{5} + 2}\right)} {\left(\sqrt{5} + 2\right)}^{\frac{3}{4}} - 8 \, {\left(4 \, {\left(11786 \, x^{45} - 418982 \, x^{41} - 3153502 \, x^{37} - 7711008 \, x^{33} - 7243648 \, x^{29} - 1668480 \, x^{25} + 72544 \, x^{21} - 338048 \, x^{17} + 23296 \, x^{13} + 30720 \, x^{9} + 3584 \, x^{5} + \sqrt{5} {\left(2097 \, x^{45} + 266982 \, x^{41} + 1696566 \, x^{37} + 3848848 \, x^{33} + 3350352 \, x^{29} + 602560 \, x^{25} - 43104 \, x^{21} + 200064 \, x^{17} + 1536 \, x^{13} - 12288 \, x^{9} - 1536 \, x^{5}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{3}{4}} - {\left(12471 \, x^{47} + 710367 \, x^{43} + 2116698 \, x^{39} - 3578860 \, x^{35} - 18142976 \, x^{31} - 16588112 \, x^{27} - 1714848 \, x^{23} - 1272384 \, x^{19} - 446976 \, x^{15} - 139008 \, x^{11} + 70144 \, x^{7} + 11264 \, x^{3} + \sqrt{5} {\left(9172 \, x^{47} - 210451 \, x^{43} - 628290 \, x^{39} + 2143588 \, x^{35} + 8786384 \, x^{31} + 8031184 \, x^{27} + 1024032 \, x^{23} + 498368 \, x^{19} + 118016 \, x^{15} + 44800 \, x^{11} - 33280 \, x^{7} - 5120 \, x^{3}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{5} + 2}\right)} \sqrt{\sqrt{5} + 2} - 256 \, {\left(2073 \, x^{47} + 31642 \, x^{43} + 149420 \, x^{39} + 309672 \, x^{35} + 314176 \, x^{31} + 198976 \, x^{27} + 124608 \, x^{23} + 27520 \, x^{19} - 10496 \, x^{15} + 3584 \, x^{11} + \sqrt{5} {\left(953 \, x^{47} + 10346 \, x^{43} + 54828 \, x^{39} + 165000 \, x^{35} + 269856 \, x^{31} + 208768 \, x^{27} + 52032 \, x^{23} + 5760 \, x^{19} + 6400 \, x^{15} - 1536 \, x^{11}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}} - 8 \, {\left(2 \, \sqrt{5} \sqrt{2} {\left(6759 \, x^{48} + 192756 \, x^{44} + 1338912 \, x^{40} + 3951568 \, x^{36} + 5386016 \, x^{32} + 2908960 \, x^{28} + 366208 \, x^{24} + 417664 \, x^{20} + 157952 \, x^{16} - 25088 \, x^{12} - 9216 \, x^{8}\right)} - \sqrt{x^{4} + 2} {\left(\sqrt{5} \sqrt{2} {\left(12951 \, x^{46} - 734356 \, x^{42} - 4933932 \, x^{38} - 10666960 \, x^{34} - 7733808 \, x^{30} + 208192 \, x^{26} + 222272 \, x^{22} - 739840 \, x^{18} + 166656 \, x^{14} + 22528 \, x^{10} - 5120 \, x^{6}\right)} + \sqrt{2} {\left(3493 \, x^{46} + 2013180 \, x^{42} + 12514388 \, x^{38} + 26406800 \, x^{34} + 18862832 \, x^{30} - 954432 \, x^{26} - 1374912 \, x^{22} + 1328128 \, x^{18} - 426752 \, x^{14} - 55296 \, x^{10} + 11264 \, x^{6}\right)}\right)} \sqrt{\sqrt{5} + 2} + 2 \, \sqrt{2} {\left(19945 \, x^{48} - 252392 \, x^{44} - 2918376 \, x^{40} - 9824736 \, x^{36} - 13811360 \, x^{32} - 6643360 \, x^{28} + 793216 \, x^{24} + 89984 \, x^{20} - 152320 \, x^{16} + 77312 \, x^{12} + 21504 \, x^{8}\right)}\right)} {\left(\sqrt{5} + 2\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{4 \, {\left(x^{6} - 6 \, x^{2} + \sqrt{5} {\left(x^{6} - 2 \, x^{2}\right)}\right)} \sqrt{x^{4} + 2} + {\left(x^{8} - 2 \, x^{4} + \sqrt{5} {\left(x^{8} - 2 \, x^{4} - 4\right)} - 4\right)} \sqrt{\sqrt{5} + 2} + 2 \, {\left({\left(\sqrt{5} \sqrt{2} x^{5} - \sqrt{2} {\left(x^{5} + 4 \, x\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{5} + 2} - 2 \, {\left(\sqrt{5} \sqrt{2} x^{3} - \sqrt{2} {\left(x^{7} - x^{3}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}}\right)} {\left(\sqrt{5} + 2\right)}^{\frac{1}{4}}}{x^{8} - 2 \, x^{4} - 4}} - 4 \, {\left({\left(x^{4} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(60399 \, x^{45} - 2243940 \, x^{41} - 17911864 \, x^{37} - 47674696 \, x^{33} - 51732592 \, x^{29} - 17641088 \, x^{25} - 228224 \, x^{21} - 2926464 \, x^{17} - 241920 \, x^{13} + 77824 \, x^{9} + 57344 \, x^{5} + 6144 \, x\right)} + \sqrt{2} {\left(53127 \, x^{45} + 6673680 \, x^{41} + 45520576 \, x^{37} + 114960072 \, x^{33} + 121770576 \, x^{29} + 42292928 \, x^{25} + 2253056 \, x^{21} + 6572928 \, x^{17} + 80640 \, x^{13} - 283648 \, x^{9} - 141312 \, x^{5} - 14336 \, x\right)}\right)} \sqrt{\sqrt{5} + 2} - {\left(x^{4} + 2\right)}^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(95519 \, x^{47} - 417922 \, x^{43} - 6811916 \, x^{39} - 24252224 \, x^{35} - 38254288 \, x^{31} - 27904608 \, x^{27} - 7052352 \, x^{23} - 93696 \, x^{19} - 1097472 \, x^{15} + 267776 \, x^{11} + 125952 \, x^{7} + 12288 \, x^{3}\right)} + \sqrt{2} {\left(172357 \, x^{47} + 4920726 \, x^{43} + 31853380 \, x^{39} + 88748912 \, x^{35} + 119801296 \, x^{31} + 71833760 \, x^{27} + 10158272 \, x^{23} + 179968 \, x^{19} + 4671232 \, x^{15} - 68096 \, x^{11} - 218112 \, x^{7} - 24576 \, x^{3}\right)}\right)}\right)} {\left(\sqrt{5} + 2\right)}^{\frac{3}{4}} + 32 \, \sqrt{5} {\left(44757 \, x^{48} + 528500 \, x^{44} + 2531006 \, x^{40} + 6388884 \, x^{36} + 9172544 \, x^{32} + 7394272 \, x^{28} + 2846624 \, x^{24} + 106688 \, x^{20} - 75776 \, x^{16} + 115200 \, x^{12} + 15872 \, x^{8} + 1024 \, x^{4}\right)} + 16 \, {\left({\left(91357 \, x^{46} + 1895268 \, x^{42} + 10212936 \, x^{38} + 22875904 \, x^{34} + 22078448 \, x^{30} + 6990272 \, x^{26} + 1117568 \, x^{22} + 2320896 \, x^{18} + 413952 \, x^{14} - 74752 \, x^{10} - 20480 \, x^{6} + \sqrt{5} {\left(47877 \, x^{46} - 154580 \, x^{42} - 2723168 \, x^{38} - 8670208 \, x^{34} - 10594640 \, x^{30} - 3899328 \, x^{26} + 805376 \, x^{22} + 61952 \, x^{18} + 42240 \, x^{14} + 58368 \, x^{10} + 10240 \, x^{6}\right)}\right)} \sqrt{x^{4} + 2} - 2 \, {\left(23987 \, x^{48} + 227560 \, x^{44} + 938350 \, x^{40} + 1981652 \, x^{36} + 1955168 \, x^{32} + 712608 \, x^{28} + 496288 \, x^{24} + 274624 \, x^{20} - 612864 \, x^{16} + 116224 \, x^{12} - 8704 \, x^{8} - 7168 \, x^{4} + 2 \, \sqrt{5} {\left(5352 \, x^{48} + 52677 \, x^{44} + 202941 \, x^{40} + 418518 \, x^{36} + 526744 \, x^{32} + 300896 \, x^{28} - 223888 \, x^{24} - 296544 \, x^{20} + 36992 \, x^{16} - 43520 \, x^{12} + 256 \, x^{8} + 1536 \, x^{4}\right)}\right)} \sqrt{\sqrt{5} + 2}\right)} \sqrt{\sqrt{5} + 2} + 32 \, {\left(2 \, {\left(x^{4} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(11608 \, x^{45} + 30607 \, x^{41} - 58200 \, x^{37} - 138724 \, x^{33} + 244200 \, x^{29} + 571344 \, x^{25} + 243360 \, x^{21} + 38272 \, x^{17} + 128 \, x^{13} + 3584 \, x^{9}\right)} + \sqrt{2} {\left(24419 \, x^{45} + 289341 \, x^{41} + 1254508 \, x^{37} + 2575396 \, x^{33} + 2690040 \, x^{29} + 1562960 \, x^{25} + 649760 \, x^{21} + 125952 \, x^{17} + 20608 \, x^{13} - 7168 \, x^{9}\right)}\right)} - {\left(x^{4} + 2\right)}^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(9667 \, x^{47} + 271524 \, x^{43} + 1604384 \, x^{39} + 3720976 \, x^{35} + 3252512 \, x^{31} - 143712 \, x^{27} - 1076608 \, x^{23} + 108928 \, x^{19} - 15104 \, x^{15} - 39424 \, x^{11} + 3072 \, x^{7}\right)} + \sqrt{2} {\left(27805 \, x^{47} - 275016 \, x^{43} - 3020872 \, x^{39} - 9166816 \, x^{35} - 11334816 \, x^{31} - 4883488 \, x^{27} - 483712 \, x^{23} - 1009280 \, x^{19} - 75520 \, x^{15} + 79360 \, x^{11} - 7168 \, x^{7}\right)}\right)} \sqrt{\sqrt{5} + 2}\right)} {\left(\sqrt{5} + 2\right)}^{\frac{1}{4}} + 16384}{4 \, {\left(60929 \, x^{48} - 8635020 \, x^{44} - 72157788 \, x^{40} - 223468208 \, x^{36} - 314189280 \, x^{32} - 181711040 \, x^{28} - 22351296 \, x^{24} - 8686848 \, x^{20} - 7921152 \, x^{16} + 1174528 \, x^{12} + 500736 \, x^{8} + 77824 \, x^{4} + 4096\right)}}\right) + 4 \, \sqrt{5} \sqrt{2} x^{5} {\left(\sqrt{5} + 2\right)}^{\frac{1}{4}} \arctan\left(\frac{3205700 \, x^{48} + 37345168 \, x^{44} + 180959952 \, x^{40} + 465140928 \, x^{36} + 664687232 \, x^{32} + 494124288 \, x^{28} + 141907200 \, x^{24} - 6450176 \, x^{20} + 1075200 \, x^{16} + 2797568 \, x^{12} + 1691648 \, x^{8} + 278528 \, x^{4} - 16 \, {\left(95823 \, x^{46} + 1251203 \, x^{42} + 6523442 \, x^{38} + 16526620 \, x^{34} + 19670784 \, x^{30} + 7602736 \, x^{26} - 1179424 \, x^{22} + 1387328 \, x^{18} + 445952 \, x^{14} - 243456 \, x^{10} - 46592 \, x^{6} - 3072 \, x^{2} + \sqrt{5} {\left(48196 \, x^{46} - 196187 \, x^{42} - 3617546 \, x^{38} - 13241892 \, x^{34} - 19800240 \, x^{30} - 11105648 \, x^{26} - 526432 \, x^{22} - 398016 \, x^{18} - 373504 \, x^{14} + 58112 \, x^{10} + 13824 \, x^{6} + 1024 \, x^{2}\right)}\right)} \sqrt{x^{4} + 2} \sqrt{\sqrt{5} + 2} + \sqrt{2} {\left(32 \, {\left(4449 \, x^{45} + 634636 \, x^{41} + 3555644 \, x^{37} + 6358496 \, x^{33} + 2708704 \, x^{29} - 1547296 \, x^{25} + 190272 \, x^{21} + 181376 \, x^{17} - 108800 \, x^{13} + 5632 \, x^{9} + \sqrt{5} {\left(5925 \, x^{45} - 282704 \, x^{41} - 1807476 \, x^{37} - 3570256 \, x^{33} - 2134720 \, x^{29} + 190240 \, x^{25} - 209984 \, x^{21} - 98176 \, x^{17} + 47360 \, x^{13} - 2560 \, x^{9}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{5} + 2} + {\left(2 \, \sqrt{x^{4} + 2} {\left(\sqrt{5} \sqrt{2} {\left(10653 \, x^{46} + 2956548 \, x^{42} + 20110664 \, x^{38} + 50652360 \, x^{34} + 56023600 \, x^{30} + 25198208 \, x^{26} + 3725952 \, x^{22} + 757632 \, x^{18} + 1234176 \, x^{14} - 217088 \, x^{10} - 77824 \, x^{6} - 6144 \, x^{2}\right)} + \sqrt{2} {\left(108077 \, x^{46} - 5431312 \, x^{42} - 40263280 \, x^{38} - 102843464 \, x^{34} - 112864528 \, x^{30} - 50417856 \, x^{26} - 9076224 \, x^{22} - 2229120 \, x^{18} - 2436864 \, x^{14} + 578560 \, x^{10} + 186368 \, x^{6} + 14336 \, x^{2}\right)}\right)} + {\left(\sqrt{5} \sqrt{2} {\left(28915 \, x^{48} - 8366472 \, x^{44} - 80621076 \, x^{40} - 293448080 \, x^{36} - 499554944 \, x^{32} - 380351744 \, x^{28} - 90915392 \, x^{24} - 11139840 \, x^{20} - 17656832 \, x^{16} + 94208 \, x^{12} + 1137664 \, x^{8} + 290816 \, x^{4} + 20480\right)} - \sqrt{2} {\left(190537 \, x^{48} - 17103640 \, x^{44} - 172683372 \, x^{40} - 639099216 \, x^{36} - 1098574144 \, x^{32} - 842361344 \, x^{28} - 201443776 \, x^{24} - 22353664 \, x^{20} - 38754304 \, x^{16} - 204800 \, x^{12} + 2425856 \, x^{8} + 634880 \, x^{4} + 45056\right)}\right)} \sqrt{\sqrt{5} + 2}\right)} {\left(\sqrt{5} + 2\right)}^{\frac{3}{4}} - 8 \, {\left(4 \, {\left(11786 \, x^{45} - 418982 \, x^{41} - 3153502 \, x^{37} - 7711008 \, x^{33} - 7243648 \, x^{29} - 1668480 \, x^{25} + 72544 \, x^{21} - 338048 \, x^{17} + 23296 \, x^{13} + 30720 \, x^{9} + 3584 \, x^{5} + \sqrt{5} {\left(2097 \, x^{45} + 266982 \, x^{41} + 1696566 \, x^{37} + 3848848 \, x^{33} + 3350352 \, x^{29} + 602560 \, x^{25} - 43104 \, x^{21} + 200064 \, x^{17} + 1536 \, x^{13} - 12288 \, x^{9} - 1536 \, x^{5}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{3}{4}} - {\left(12471 \, x^{47} + 710367 \, x^{43} + 2116698 \, x^{39} - 3578860 \, x^{35} - 18142976 \, x^{31} - 16588112 \, x^{27} - 1714848 \, x^{23} - 1272384 \, x^{19} - 446976 \, x^{15} - 139008 \, x^{11} + 70144 \, x^{7} + 11264 \, x^{3} + \sqrt{5} {\left(9172 \, x^{47} - 210451 \, x^{43} - 628290 \, x^{39} + 2143588 \, x^{35} + 8786384 \, x^{31} + 8031184 \, x^{27} + 1024032 \, x^{23} + 498368 \, x^{19} + 118016 \, x^{15} + 44800 \, x^{11} - 33280 \, x^{7} - 5120 \, x^{3}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{5} + 2}\right)} \sqrt{\sqrt{5} + 2} - 256 \, {\left(2073 \, x^{47} + 31642 \, x^{43} + 149420 \, x^{39} + 309672 \, x^{35} + 314176 \, x^{31} + 198976 \, x^{27} + 124608 \, x^{23} + 27520 \, x^{19} - 10496 \, x^{15} + 3584 \, x^{11} + \sqrt{5} {\left(953 \, x^{47} + 10346 \, x^{43} + 54828 \, x^{39} + 165000 \, x^{35} + 269856 \, x^{31} + 208768 \, x^{27} + 52032 \, x^{23} + 5760 \, x^{19} + 6400 \, x^{15} - 1536 \, x^{11}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}} + 8 \, {\left(2 \, \sqrt{5} \sqrt{2} {\left(6759 \, x^{48} + 192756 \, x^{44} + 1338912 \, x^{40} + 3951568 \, x^{36} + 5386016 \, x^{32} + 2908960 \, x^{28} + 366208 \, x^{24} + 417664 \, x^{20} + 157952 \, x^{16} - 25088 \, x^{12} - 9216 \, x^{8}\right)} - \sqrt{x^{4} + 2} {\left(\sqrt{5} \sqrt{2} {\left(12951 \, x^{46} - 734356 \, x^{42} - 4933932 \, x^{38} - 10666960 \, x^{34} - 7733808 \, x^{30} + 208192 \, x^{26} + 222272 \, x^{22} - 739840 \, x^{18} + 166656 \, x^{14} + 22528 \, x^{10} - 5120 \, x^{6}\right)} + \sqrt{2} {\left(3493 \, x^{46} + 2013180 \, x^{42} + 12514388 \, x^{38} + 26406800 \, x^{34} + 18862832 \, x^{30} - 954432 \, x^{26} - 1374912 \, x^{22} + 1328128 \, x^{18} - 426752 \, x^{14} - 55296 \, x^{10} + 11264 \, x^{6}\right)}\right)} \sqrt{\sqrt{5} + 2} + 2 \, \sqrt{2} {\left(19945 \, x^{48} - 252392 \, x^{44} - 2918376 \, x^{40} - 9824736 \, x^{36} - 13811360 \, x^{32} - 6643360 \, x^{28} + 793216 \, x^{24} + 89984 \, x^{20} - 152320 \, x^{16} + 77312 \, x^{12} + 21504 \, x^{8}\right)}\right)} {\left(\sqrt{5} + 2\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{4 \, {\left(x^{6} - 6 \, x^{2} + \sqrt{5} {\left(x^{6} - 2 \, x^{2}\right)}\right)} \sqrt{x^{4} + 2} + {\left(x^{8} - 2 \, x^{4} + \sqrt{5} {\left(x^{8} - 2 \, x^{4} - 4\right)} - 4\right)} \sqrt{\sqrt{5} + 2} - 2 \, {\left({\left(\sqrt{5} \sqrt{2} x^{5} - \sqrt{2} {\left(x^{5} + 4 \, x\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{5} + 2} - 2 \, {\left(\sqrt{5} \sqrt{2} x^{3} - \sqrt{2} {\left(x^{7} - x^{3}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}}\right)} {\left(\sqrt{5} + 2\right)}^{\frac{1}{4}}}{x^{8} - 2 \, x^{4} - 4}} + 4 \, {\left({\left(x^{4} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(60399 \, x^{45} - 2243940 \, x^{41} - 17911864 \, x^{37} - 47674696 \, x^{33} - 51732592 \, x^{29} - 17641088 \, x^{25} - 228224 \, x^{21} - 2926464 \, x^{17} - 241920 \, x^{13} + 77824 \, x^{9} + 57344 \, x^{5} + 6144 \, x\right)} + \sqrt{2} {\left(53127 \, x^{45} + 6673680 \, x^{41} + 45520576 \, x^{37} + 114960072 \, x^{33} + 121770576 \, x^{29} + 42292928 \, x^{25} + 2253056 \, x^{21} + 6572928 \, x^{17} + 80640 \, x^{13} - 283648 \, x^{9} - 141312 \, x^{5} - 14336 \, x\right)}\right)} \sqrt{\sqrt{5} + 2} - {\left(x^{4} + 2\right)}^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(95519 \, x^{47} - 417922 \, x^{43} - 6811916 \, x^{39} - 24252224 \, x^{35} - 38254288 \, x^{31} - 27904608 \, x^{27} - 7052352 \, x^{23} - 93696 \, x^{19} - 1097472 \, x^{15} + 267776 \, x^{11} + 125952 \, x^{7} + 12288 \, x^{3}\right)} + \sqrt{2} {\left(172357 \, x^{47} + 4920726 \, x^{43} + 31853380 \, x^{39} + 88748912 \, x^{35} + 119801296 \, x^{31} + 71833760 \, x^{27} + 10158272 \, x^{23} + 179968 \, x^{19} + 4671232 \, x^{15} - 68096 \, x^{11} - 218112 \, x^{7} - 24576 \, x^{3}\right)}\right)}\right)} {\left(\sqrt{5} + 2\right)}^{\frac{3}{4}} + 32 \, \sqrt{5} {\left(44757 \, x^{48} + 528500 \, x^{44} + 2531006 \, x^{40} + 6388884 \, x^{36} + 9172544 \, x^{32} + 7394272 \, x^{28} + 2846624 \, x^{24} + 106688 \, x^{20} - 75776 \, x^{16} + 115200 \, x^{12} + 15872 \, x^{8} + 1024 \, x^{4}\right)} + 16 \, {\left({\left(91357 \, x^{46} + 1895268 \, x^{42} + 10212936 \, x^{38} + 22875904 \, x^{34} + 22078448 \, x^{30} + 6990272 \, x^{26} + 1117568 \, x^{22} + 2320896 \, x^{18} + 413952 \, x^{14} - 74752 \, x^{10} - 20480 \, x^{6} + \sqrt{5} {\left(47877 \, x^{46} - 154580 \, x^{42} - 2723168 \, x^{38} - 8670208 \, x^{34} - 10594640 \, x^{30} - 3899328 \, x^{26} + 805376 \, x^{22} + 61952 \, x^{18} + 42240 \, x^{14} + 58368 \, x^{10} + 10240 \, x^{6}\right)}\right)} \sqrt{x^{4} + 2} - 2 \, {\left(23987 \, x^{48} + 227560 \, x^{44} + 938350 \, x^{40} + 1981652 \, x^{36} + 1955168 \, x^{32} + 712608 \, x^{28} + 496288 \, x^{24} + 274624 \, x^{20} - 612864 \, x^{16} + 116224 \, x^{12} - 8704 \, x^{8} - 7168 \, x^{4} + 2 \, \sqrt{5} {\left(5352 \, x^{48} + 52677 \, x^{44} + 202941 \, x^{40} + 418518 \, x^{36} + 526744 \, x^{32} + 300896 \, x^{28} - 223888 \, x^{24} - 296544 \, x^{20} + 36992 \, x^{16} - 43520 \, x^{12} + 256 \, x^{8} + 1536 \, x^{4}\right)}\right)} \sqrt{\sqrt{5} + 2}\right)} \sqrt{\sqrt{5} + 2} - 32 \, {\left(2 \, {\left(x^{4} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(11608 \, x^{45} + 30607 \, x^{41} - 58200 \, x^{37} - 138724 \, x^{33} + 244200 \, x^{29} + 571344 \, x^{25} + 243360 \, x^{21} + 38272 \, x^{17} + 128 \, x^{13} + 3584 \, x^{9}\right)} + \sqrt{2} {\left(24419 \, x^{45} + 289341 \, x^{41} + 1254508 \, x^{37} + 2575396 \, x^{33} + 2690040 \, x^{29} + 1562960 \, x^{25} + 649760 \, x^{21} + 125952 \, x^{17} + 20608 \, x^{13} - 7168 \, x^{9}\right)}\right)} - {\left(x^{4} + 2\right)}^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(9667 \, x^{47} + 271524 \, x^{43} + 1604384 \, x^{39} + 3720976 \, x^{35} + 3252512 \, x^{31} - 143712 \, x^{27} - 1076608 \, x^{23} + 108928 \, x^{19} - 15104 \, x^{15} - 39424 \, x^{11} + 3072 \, x^{7}\right)} + \sqrt{2} {\left(27805 \, x^{47} - 275016 \, x^{43} - 3020872 \, x^{39} - 9166816 \, x^{35} - 11334816 \, x^{31} - 4883488 \, x^{27} - 483712 \, x^{23} - 1009280 \, x^{19} - 75520 \, x^{15} + 79360 \, x^{11} - 7168 \, x^{7}\right)}\right)} \sqrt{\sqrt{5} + 2}\right)} {\left(\sqrt{5} + 2\right)}^{\frac{1}{4}} + 16384}{4 \, {\left(60929 \, x^{48} - 8635020 \, x^{44} - 72157788 \, x^{40} - 223468208 \, x^{36} - 314189280 \, x^{32} - 181711040 \, x^{28} - 22351296 \, x^{24} - 8686848 \, x^{20} - 7921152 \, x^{16} + 1174528 \, x^{12} + 500736 \, x^{8} + 77824 \, x^{4} + 4096\right)}}\right) + \sqrt{5} \sqrt{2} x^{5} {\left(\sqrt{5} + 2\right)}^{\frac{1}{4}} \log\left(\frac{2 \, {\left(4 \, {\left(x^{6} - 6 \, x^{2} + \sqrt{5} {\left(x^{6} - 2 \, x^{2}\right)}\right)} \sqrt{x^{4} + 2} + {\left(x^{8} - 2 \, x^{4} + \sqrt{5} {\left(x^{8} - 2 \, x^{4} - 4\right)} - 4\right)} \sqrt{\sqrt{5} + 2} + 2 \, {\left({\left(\sqrt{5} \sqrt{2} x^{5} - \sqrt{2} {\left(x^{5} + 4 \, x\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{5} + 2} - 2 \, {\left(\sqrt{5} \sqrt{2} x^{3} - \sqrt{2} {\left(x^{7} - x^{3}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}}\right)} {\left(\sqrt{5} + 2\right)}^{\frac{1}{4}}\right)}}{x^{8} - 2 \, x^{4} - 4}\right) - \sqrt{5} \sqrt{2} x^{5} {\left(\sqrt{5} + 2\right)}^{\frac{1}{4}} \log\left(\frac{2 \, {\left(4 \, {\left(x^{6} - 6 \, x^{2} + \sqrt{5} {\left(x^{6} - 2 \, x^{2}\right)}\right)} \sqrt{x^{4} + 2} + {\left(x^{8} - 2 \, x^{4} + \sqrt{5} {\left(x^{8} - 2 \, x^{4} - 4\right)} - 4\right)} \sqrt{\sqrt{5} + 2} - 2 \, {\left({\left(\sqrt{5} \sqrt{2} x^{5} - \sqrt{2} {\left(x^{5} + 4 \, x\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{5} + 2} - 2 \, {\left(\sqrt{5} \sqrt{2} x^{3} - \sqrt{2} {\left(x^{7} - x^{3}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}}\right)} {\left(\sqrt{5} + 2\right)}^{\frac{1}{4}}\right)}}{x^{8} - 2 \, x^{4} - 4}\right) + 8 \, \sqrt{5} x^{5} {\left(\sqrt{5} - 2\right)}^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(11 \, x^{8} + 22 \, x^{4} + 2 \, {\left(11 \, x^{6} + 14 \, x^{2} + \sqrt{5} {\left(5 \, x^{6} + 6 \, x^{2}\right)}\right)} \sqrt{x^{4} + 2} \sqrt{\sqrt{5} - 2} + \sqrt{5} {\left(5 \, x^{8} + 10 \, x^{4} + 4\right)} + 12\right)} \sqrt{{\left(\sqrt{5} - 1\right)} \sqrt{\sqrt{5} - 2}} {\left(\sqrt{5} - 2\right)}^{\frac{1}{4}} + 4 \, {\left({\left(3 \, x^{5} + \sqrt{5} {\left(x^{5} + 2 \, x\right)} + 2 \, x\right)} {\left(x^{4} + 2\right)}^{\frac{3}{4}} + {\left(7 \, x^{7} + 8 \, x^{3} + \sqrt{5} {\left(3 \, x^{7} + 4 \, x^{3}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{5} - 2}\right)} {\left(\sqrt{5} - 2\right)}^{\frac{1}{4}}}{4 \, {\left(x^{8} - 2 \, x^{4} - 4\right)}}\right) + 2 \, \sqrt{5} x^{5} {\left(\sqrt{5} - 2\right)}^{\frac{1}{4}} \log\left(\frac{4 \, {\left(x^{5} + \sqrt{5} x - x\right)} {\left(x^{4} + 2\right)}^{\frac{3}{4}} + 2 \, {\left(3 \, x^{7} + 2 \, x^{3} + \sqrt{5} {\left(x^{7} + 2 \, x^{3}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{5} - 2} + {\left(2 \, {\left(\sqrt{5} x^{6} + x^{6} + 4 \, x^{2}\right)} \sqrt{x^{4} + 2} + {\left(7 \, x^{8} + 14 \, x^{4} + \sqrt{5} {\left(3 \, x^{8} + 6 \, x^{4} + 4\right)} + 4\right)} \sqrt{\sqrt{5} - 2}\right)} {\left(\sqrt{5} - 2\right)}^{\frac{1}{4}}}{x^{8} - 2 \, x^{4} - 4}\right) - 2 \, \sqrt{5} x^{5} {\left(\sqrt{5} - 2\right)}^{\frac{1}{4}} \log\left(\frac{4 \, {\left(x^{5} + \sqrt{5} x - x\right)} {\left(x^{4} + 2\right)}^{\frac{3}{4}} + 2 \, {\left(3 \, x^{7} + 2 \, x^{3} + \sqrt{5} {\left(x^{7} + 2 \, x^{3}\right)}\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{5} - 2} - {\left(2 \, {\left(\sqrt{5} x^{6} + x^{6} + 4 \, x^{2}\right)} \sqrt{x^{4} + 2} + {\left(7 \, x^{8} + 14 \, x^{4} + \sqrt{5} {\left(3 \, x^{8} + 6 \, x^{4} + 4\right)} + 4\right)} \sqrt{\sqrt{5} - 2}\right)} {\left(\sqrt{5} - 2\right)}^{\frac{1}{4}}}{x^{8} - 2 \, x^{4} - 4}\right) - 32 \, {\left(2 \, x^{4} - 1\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}}}{160 \, x^{5}}"," ",0,"-1/160*(4*sqrt(5)*sqrt(2)*x^5*(sqrt(5) + 2)^(1/4)*arctan(-1/4*(3205700*x^48 + 37345168*x^44 + 180959952*x^40 + 465140928*x^36 + 664687232*x^32 + 494124288*x^28 + 141907200*x^24 - 6450176*x^20 + 1075200*x^16 + 2797568*x^12 + 1691648*x^8 + 278528*x^4 - 16*(95823*x^46 + 1251203*x^42 + 6523442*x^38 + 16526620*x^34 + 19670784*x^30 + 7602736*x^26 - 1179424*x^22 + 1387328*x^18 + 445952*x^14 - 243456*x^10 - 46592*x^6 - 3072*x^2 + sqrt(5)*(48196*x^46 - 196187*x^42 - 3617546*x^38 - 13241892*x^34 - 19800240*x^30 - 11105648*x^26 - 526432*x^22 - 398016*x^18 - 373504*x^14 + 58112*x^10 + 13824*x^6 + 1024*x^2))*sqrt(x^4 + 2)*sqrt(sqrt(5) + 2) + sqrt(2)*(32*(4449*x^45 + 634636*x^41 + 3555644*x^37 + 6358496*x^33 + 2708704*x^29 - 1547296*x^25 + 190272*x^21 + 181376*x^17 - 108800*x^13 + 5632*x^9 + sqrt(5)*(5925*x^45 - 282704*x^41 - 1807476*x^37 - 3570256*x^33 - 2134720*x^29 + 190240*x^25 - 209984*x^21 - 98176*x^17 + 47360*x^13 - 2560*x^9))*(x^4 + 2)^(3/4)*sqrt(sqrt(5) + 2) - (2*sqrt(x^4 + 2)*(sqrt(5)*sqrt(2)*(10653*x^46 + 2956548*x^42 + 20110664*x^38 + 50652360*x^34 + 56023600*x^30 + 25198208*x^26 + 3725952*x^22 + 757632*x^18 + 1234176*x^14 - 217088*x^10 - 77824*x^6 - 6144*x^2) + sqrt(2)*(108077*x^46 - 5431312*x^42 - 40263280*x^38 - 102843464*x^34 - 112864528*x^30 - 50417856*x^26 - 9076224*x^22 - 2229120*x^18 - 2436864*x^14 + 578560*x^10 + 186368*x^6 + 14336*x^2)) + (sqrt(5)*sqrt(2)*(28915*x^48 - 8366472*x^44 - 80621076*x^40 - 293448080*x^36 - 499554944*x^32 - 380351744*x^28 - 90915392*x^24 - 11139840*x^20 - 17656832*x^16 + 94208*x^12 + 1137664*x^8 + 290816*x^4 + 20480) - sqrt(2)*(190537*x^48 - 17103640*x^44 - 172683372*x^40 - 639099216*x^36 - 1098574144*x^32 - 842361344*x^28 - 201443776*x^24 - 22353664*x^20 - 38754304*x^16 - 204800*x^12 + 2425856*x^8 + 634880*x^4 + 45056))*sqrt(sqrt(5) + 2))*(sqrt(5) + 2)^(3/4) - 8*(4*(11786*x^45 - 418982*x^41 - 3153502*x^37 - 7711008*x^33 - 7243648*x^29 - 1668480*x^25 + 72544*x^21 - 338048*x^17 + 23296*x^13 + 30720*x^9 + 3584*x^5 + sqrt(5)*(2097*x^45 + 266982*x^41 + 1696566*x^37 + 3848848*x^33 + 3350352*x^29 + 602560*x^25 - 43104*x^21 + 200064*x^17 + 1536*x^13 - 12288*x^9 - 1536*x^5))*(x^4 + 2)^(3/4) - (12471*x^47 + 710367*x^43 + 2116698*x^39 - 3578860*x^35 - 18142976*x^31 - 16588112*x^27 - 1714848*x^23 - 1272384*x^19 - 446976*x^15 - 139008*x^11 + 70144*x^7 + 11264*x^3 + sqrt(5)*(9172*x^47 - 210451*x^43 - 628290*x^39 + 2143588*x^35 + 8786384*x^31 + 8031184*x^27 + 1024032*x^23 + 498368*x^19 + 118016*x^15 + 44800*x^11 - 33280*x^7 - 5120*x^3))*(x^4 + 2)^(1/4)*sqrt(sqrt(5) + 2))*sqrt(sqrt(5) + 2) - 256*(2073*x^47 + 31642*x^43 + 149420*x^39 + 309672*x^35 + 314176*x^31 + 198976*x^27 + 124608*x^23 + 27520*x^19 - 10496*x^15 + 3584*x^11 + sqrt(5)*(953*x^47 + 10346*x^43 + 54828*x^39 + 165000*x^35 + 269856*x^31 + 208768*x^27 + 52032*x^23 + 5760*x^19 + 6400*x^15 - 1536*x^11))*(x^4 + 2)^(1/4) - 8*(2*sqrt(5)*sqrt(2)*(6759*x^48 + 192756*x^44 + 1338912*x^40 + 3951568*x^36 + 5386016*x^32 + 2908960*x^28 + 366208*x^24 + 417664*x^20 + 157952*x^16 - 25088*x^12 - 9216*x^8) - sqrt(x^4 + 2)*(sqrt(5)*sqrt(2)*(12951*x^46 - 734356*x^42 - 4933932*x^38 - 10666960*x^34 - 7733808*x^30 + 208192*x^26 + 222272*x^22 - 739840*x^18 + 166656*x^14 + 22528*x^10 - 5120*x^6) + sqrt(2)*(3493*x^46 + 2013180*x^42 + 12514388*x^38 + 26406800*x^34 + 18862832*x^30 - 954432*x^26 - 1374912*x^22 + 1328128*x^18 - 426752*x^14 - 55296*x^10 + 11264*x^6))*sqrt(sqrt(5) + 2) + 2*sqrt(2)*(19945*x^48 - 252392*x^44 - 2918376*x^40 - 9824736*x^36 - 13811360*x^32 - 6643360*x^28 + 793216*x^24 + 89984*x^20 - 152320*x^16 + 77312*x^12 + 21504*x^8))*(sqrt(5) + 2)^(1/4))*sqrt((4*(x^6 - 6*x^2 + sqrt(5)*(x^6 - 2*x^2))*sqrt(x^4 + 2) + (x^8 - 2*x^4 + sqrt(5)*(x^8 - 2*x^4 - 4) - 4)*sqrt(sqrt(5) + 2) + 2*((sqrt(5)*sqrt(2)*x^5 - sqrt(2)*(x^5 + 4*x))*(x^4 + 2)^(3/4)*sqrt(sqrt(5) + 2) - 2*(sqrt(5)*sqrt(2)*x^3 - sqrt(2)*(x^7 - x^3))*(x^4 + 2)^(1/4))*(sqrt(5) + 2)^(1/4))/(x^8 - 2*x^4 - 4)) - 4*((x^4 + 2)^(3/4)*(sqrt(5)*sqrt(2)*(60399*x^45 - 2243940*x^41 - 17911864*x^37 - 47674696*x^33 - 51732592*x^29 - 17641088*x^25 - 228224*x^21 - 2926464*x^17 - 241920*x^13 + 77824*x^9 + 57344*x^5 + 6144*x) + sqrt(2)*(53127*x^45 + 6673680*x^41 + 45520576*x^37 + 114960072*x^33 + 121770576*x^29 + 42292928*x^25 + 2253056*x^21 + 6572928*x^17 + 80640*x^13 - 283648*x^9 - 141312*x^5 - 14336*x))*sqrt(sqrt(5) + 2) - (x^4 + 2)^(1/4)*(sqrt(5)*sqrt(2)*(95519*x^47 - 417922*x^43 - 6811916*x^39 - 24252224*x^35 - 38254288*x^31 - 27904608*x^27 - 7052352*x^23 - 93696*x^19 - 1097472*x^15 + 267776*x^11 + 125952*x^7 + 12288*x^3) + sqrt(2)*(172357*x^47 + 4920726*x^43 + 31853380*x^39 + 88748912*x^35 + 119801296*x^31 + 71833760*x^27 + 10158272*x^23 + 179968*x^19 + 4671232*x^15 - 68096*x^11 - 218112*x^7 - 24576*x^3)))*(sqrt(5) + 2)^(3/4) + 32*sqrt(5)*(44757*x^48 + 528500*x^44 + 2531006*x^40 + 6388884*x^36 + 9172544*x^32 + 7394272*x^28 + 2846624*x^24 + 106688*x^20 - 75776*x^16 + 115200*x^12 + 15872*x^8 + 1024*x^4) + 16*((91357*x^46 + 1895268*x^42 + 10212936*x^38 + 22875904*x^34 + 22078448*x^30 + 6990272*x^26 + 1117568*x^22 + 2320896*x^18 + 413952*x^14 - 74752*x^10 - 20480*x^6 + sqrt(5)*(47877*x^46 - 154580*x^42 - 2723168*x^38 - 8670208*x^34 - 10594640*x^30 - 3899328*x^26 + 805376*x^22 + 61952*x^18 + 42240*x^14 + 58368*x^10 + 10240*x^6))*sqrt(x^4 + 2) - 2*(23987*x^48 + 227560*x^44 + 938350*x^40 + 1981652*x^36 + 1955168*x^32 + 712608*x^28 + 496288*x^24 + 274624*x^20 - 612864*x^16 + 116224*x^12 - 8704*x^8 - 7168*x^4 + 2*sqrt(5)*(5352*x^48 + 52677*x^44 + 202941*x^40 + 418518*x^36 + 526744*x^32 + 300896*x^28 - 223888*x^24 - 296544*x^20 + 36992*x^16 - 43520*x^12 + 256*x^8 + 1536*x^4))*sqrt(sqrt(5) + 2))*sqrt(sqrt(5) + 2) + 32*(2*(x^4 + 2)^(3/4)*(sqrt(5)*sqrt(2)*(11608*x^45 + 30607*x^41 - 58200*x^37 - 138724*x^33 + 244200*x^29 + 571344*x^25 + 243360*x^21 + 38272*x^17 + 128*x^13 + 3584*x^9) + sqrt(2)*(24419*x^45 + 289341*x^41 + 1254508*x^37 + 2575396*x^33 + 2690040*x^29 + 1562960*x^25 + 649760*x^21 + 125952*x^17 + 20608*x^13 - 7168*x^9)) - (x^4 + 2)^(1/4)*(sqrt(5)*sqrt(2)*(9667*x^47 + 271524*x^43 + 1604384*x^39 + 3720976*x^35 + 3252512*x^31 - 143712*x^27 - 1076608*x^23 + 108928*x^19 - 15104*x^15 - 39424*x^11 + 3072*x^7) + sqrt(2)*(27805*x^47 - 275016*x^43 - 3020872*x^39 - 9166816*x^35 - 11334816*x^31 - 4883488*x^27 - 483712*x^23 - 1009280*x^19 - 75520*x^15 + 79360*x^11 - 7168*x^7))*sqrt(sqrt(5) + 2))*(sqrt(5) + 2)^(1/4) + 16384)/(60929*x^48 - 8635020*x^44 - 72157788*x^40 - 223468208*x^36 - 314189280*x^32 - 181711040*x^28 - 22351296*x^24 - 8686848*x^20 - 7921152*x^16 + 1174528*x^12 + 500736*x^8 + 77824*x^4 + 4096)) + 4*sqrt(5)*sqrt(2)*x^5*(sqrt(5) + 2)^(1/4)*arctan(1/4*(3205700*x^48 + 37345168*x^44 + 180959952*x^40 + 465140928*x^36 + 664687232*x^32 + 494124288*x^28 + 141907200*x^24 - 6450176*x^20 + 1075200*x^16 + 2797568*x^12 + 1691648*x^8 + 278528*x^4 - 16*(95823*x^46 + 1251203*x^42 + 6523442*x^38 + 16526620*x^34 + 19670784*x^30 + 7602736*x^26 - 1179424*x^22 + 1387328*x^18 + 445952*x^14 - 243456*x^10 - 46592*x^6 - 3072*x^2 + sqrt(5)*(48196*x^46 - 196187*x^42 - 3617546*x^38 - 13241892*x^34 - 19800240*x^30 - 11105648*x^26 - 526432*x^22 - 398016*x^18 - 373504*x^14 + 58112*x^10 + 13824*x^6 + 1024*x^2))*sqrt(x^4 + 2)*sqrt(sqrt(5) + 2) + sqrt(2)*(32*(4449*x^45 + 634636*x^41 + 3555644*x^37 + 6358496*x^33 + 2708704*x^29 - 1547296*x^25 + 190272*x^21 + 181376*x^17 - 108800*x^13 + 5632*x^9 + sqrt(5)*(5925*x^45 - 282704*x^41 - 1807476*x^37 - 3570256*x^33 - 2134720*x^29 + 190240*x^25 - 209984*x^21 - 98176*x^17 + 47360*x^13 - 2560*x^9))*(x^4 + 2)^(3/4)*sqrt(sqrt(5) + 2) + (2*sqrt(x^4 + 2)*(sqrt(5)*sqrt(2)*(10653*x^46 + 2956548*x^42 + 20110664*x^38 + 50652360*x^34 + 56023600*x^30 + 25198208*x^26 + 3725952*x^22 + 757632*x^18 + 1234176*x^14 - 217088*x^10 - 77824*x^6 - 6144*x^2) + sqrt(2)*(108077*x^46 - 5431312*x^42 - 40263280*x^38 - 102843464*x^34 - 112864528*x^30 - 50417856*x^26 - 9076224*x^22 - 2229120*x^18 - 2436864*x^14 + 578560*x^10 + 186368*x^6 + 14336*x^2)) + (sqrt(5)*sqrt(2)*(28915*x^48 - 8366472*x^44 - 80621076*x^40 - 293448080*x^36 - 499554944*x^32 - 380351744*x^28 - 90915392*x^24 - 11139840*x^20 - 17656832*x^16 + 94208*x^12 + 1137664*x^8 + 290816*x^4 + 20480) - sqrt(2)*(190537*x^48 - 17103640*x^44 - 172683372*x^40 - 639099216*x^36 - 1098574144*x^32 - 842361344*x^28 - 201443776*x^24 - 22353664*x^20 - 38754304*x^16 - 204800*x^12 + 2425856*x^8 + 634880*x^4 + 45056))*sqrt(sqrt(5) + 2))*(sqrt(5) + 2)^(3/4) - 8*(4*(11786*x^45 - 418982*x^41 - 3153502*x^37 - 7711008*x^33 - 7243648*x^29 - 1668480*x^25 + 72544*x^21 - 338048*x^17 + 23296*x^13 + 30720*x^9 + 3584*x^5 + sqrt(5)*(2097*x^45 + 266982*x^41 + 1696566*x^37 + 3848848*x^33 + 3350352*x^29 + 602560*x^25 - 43104*x^21 + 200064*x^17 + 1536*x^13 - 12288*x^9 - 1536*x^5))*(x^4 + 2)^(3/4) - (12471*x^47 + 710367*x^43 + 2116698*x^39 - 3578860*x^35 - 18142976*x^31 - 16588112*x^27 - 1714848*x^23 - 1272384*x^19 - 446976*x^15 - 139008*x^11 + 70144*x^7 + 11264*x^3 + sqrt(5)*(9172*x^47 - 210451*x^43 - 628290*x^39 + 2143588*x^35 + 8786384*x^31 + 8031184*x^27 + 1024032*x^23 + 498368*x^19 + 118016*x^15 + 44800*x^11 - 33280*x^7 - 5120*x^3))*(x^4 + 2)^(1/4)*sqrt(sqrt(5) + 2))*sqrt(sqrt(5) + 2) - 256*(2073*x^47 + 31642*x^43 + 149420*x^39 + 309672*x^35 + 314176*x^31 + 198976*x^27 + 124608*x^23 + 27520*x^19 - 10496*x^15 + 3584*x^11 + sqrt(5)*(953*x^47 + 10346*x^43 + 54828*x^39 + 165000*x^35 + 269856*x^31 + 208768*x^27 + 52032*x^23 + 5760*x^19 + 6400*x^15 - 1536*x^11))*(x^4 + 2)^(1/4) + 8*(2*sqrt(5)*sqrt(2)*(6759*x^48 + 192756*x^44 + 1338912*x^40 + 3951568*x^36 + 5386016*x^32 + 2908960*x^28 + 366208*x^24 + 417664*x^20 + 157952*x^16 - 25088*x^12 - 9216*x^8) - sqrt(x^4 + 2)*(sqrt(5)*sqrt(2)*(12951*x^46 - 734356*x^42 - 4933932*x^38 - 10666960*x^34 - 7733808*x^30 + 208192*x^26 + 222272*x^22 - 739840*x^18 + 166656*x^14 + 22528*x^10 - 5120*x^6) + sqrt(2)*(3493*x^46 + 2013180*x^42 + 12514388*x^38 + 26406800*x^34 + 18862832*x^30 - 954432*x^26 - 1374912*x^22 + 1328128*x^18 - 426752*x^14 - 55296*x^10 + 11264*x^6))*sqrt(sqrt(5) + 2) + 2*sqrt(2)*(19945*x^48 - 252392*x^44 - 2918376*x^40 - 9824736*x^36 - 13811360*x^32 - 6643360*x^28 + 793216*x^24 + 89984*x^20 - 152320*x^16 + 77312*x^12 + 21504*x^8))*(sqrt(5) + 2)^(1/4))*sqrt((4*(x^6 - 6*x^2 + sqrt(5)*(x^6 - 2*x^2))*sqrt(x^4 + 2) + (x^8 - 2*x^4 + sqrt(5)*(x^8 - 2*x^4 - 4) - 4)*sqrt(sqrt(5) + 2) - 2*((sqrt(5)*sqrt(2)*x^5 - sqrt(2)*(x^5 + 4*x))*(x^4 + 2)^(3/4)*sqrt(sqrt(5) + 2) - 2*(sqrt(5)*sqrt(2)*x^3 - sqrt(2)*(x^7 - x^3))*(x^4 + 2)^(1/4))*(sqrt(5) + 2)^(1/4))/(x^8 - 2*x^4 - 4)) + 4*((x^4 + 2)^(3/4)*(sqrt(5)*sqrt(2)*(60399*x^45 - 2243940*x^41 - 17911864*x^37 - 47674696*x^33 - 51732592*x^29 - 17641088*x^25 - 228224*x^21 - 2926464*x^17 - 241920*x^13 + 77824*x^9 + 57344*x^5 + 6144*x) + sqrt(2)*(53127*x^45 + 6673680*x^41 + 45520576*x^37 + 114960072*x^33 + 121770576*x^29 + 42292928*x^25 + 2253056*x^21 + 6572928*x^17 + 80640*x^13 - 283648*x^9 - 141312*x^5 - 14336*x))*sqrt(sqrt(5) + 2) - (x^4 + 2)^(1/4)*(sqrt(5)*sqrt(2)*(95519*x^47 - 417922*x^43 - 6811916*x^39 - 24252224*x^35 - 38254288*x^31 - 27904608*x^27 - 7052352*x^23 - 93696*x^19 - 1097472*x^15 + 267776*x^11 + 125952*x^7 + 12288*x^3) + sqrt(2)*(172357*x^47 + 4920726*x^43 + 31853380*x^39 + 88748912*x^35 + 119801296*x^31 + 71833760*x^27 + 10158272*x^23 + 179968*x^19 + 4671232*x^15 - 68096*x^11 - 218112*x^7 - 24576*x^3)))*(sqrt(5) + 2)^(3/4) + 32*sqrt(5)*(44757*x^48 + 528500*x^44 + 2531006*x^40 + 6388884*x^36 + 9172544*x^32 + 7394272*x^28 + 2846624*x^24 + 106688*x^20 - 75776*x^16 + 115200*x^12 + 15872*x^8 + 1024*x^4) + 16*((91357*x^46 + 1895268*x^42 + 10212936*x^38 + 22875904*x^34 + 22078448*x^30 + 6990272*x^26 + 1117568*x^22 + 2320896*x^18 + 413952*x^14 - 74752*x^10 - 20480*x^6 + sqrt(5)*(47877*x^46 - 154580*x^42 - 2723168*x^38 - 8670208*x^34 - 10594640*x^30 - 3899328*x^26 + 805376*x^22 + 61952*x^18 + 42240*x^14 + 58368*x^10 + 10240*x^6))*sqrt(x^4 + 2) - 2*(23987*x^48 + 227560*x^44 + 938350*x^40 + 1981652*x^36 + 1955168*x^32 + 712608*x^28 + 496288*x^24 + 274624*x^20 - 612864*x^16 + 116224*x^12 - 8704*x^8 - 7168*x^4 + 2*sqrt(5)*(5352*x^48 + 52677*x^44 + 202941*x^40 + 418518*x^36 + 526744*x^32 + 300896*x^28 - 223888*x^24 - 296544*x^20 + 36992*x^16 - 43520*x^12 + 256*x^8 + 1536*x^4))*sqrt(sqrt(5) + 2))*sqrt(sqrt(5) + 2) - 32*(2*(x^4 + 2)^(3/4)*(sqrt(5)*sqrt(2)*(11608*x^45 + 30607*x^41 - 58200*x^37 - 138724*x^33 + 244200*x^29 + 571344*x^25 + 243360*x^21 + 38272*x^17 + 128*x^13 + 3584*x^9) + sqrt(2)*(24419*x^45 + 289341*x^41 + 1254508*x^37 + 2575396*x^33 + 2690040*x^29 + 1562960*x^25 + 649760*x^21 + 125952*x^17 + 20608*x^13 - 7168*x^9)) - (x^4 + 2)^(1/4)*(sqrt(5)*sqrt(2)*(9667*x^47 + 271524*x^43 + 1604384*x^39 + 3720976*x^35 + 3252512*x^31 - 143712*x^27 - 1076608*x^23 + 108928*x^19 - 15104*x^15 - 39424*x^11 + 3072*x^7) + sqrt(2)*(27805*x^47 - 275016*x^43 - 3020872*x^39 - 9166816*x^35 - 11334816*x^31 - 4883488*x^27 - 483712*x^23 - 1009280*x^19 - 75520*x^15 + 79360*x^11 - 7168*x^7))*sqrt(sqrt(5) + 2))*(sqrt(5) + 2)^(1/4) + 16384)/(60929*x^48 - 8635020*x^44 - 72157788*x^40 - 223468208*x^36 - 314189280*x^32 - 181711040*x^28 - 22351296*x^24 - 8686848*x^20 - 7921152*x^16 + 1174528*x^12 + 500736*x^8 + 77824*x^4 + 4096)) + sqrt(5)*sqrt(2)*x^5*(sqrt(5) + 2)^(1/4)*log(2*(4*(x^6 - 6*x^2 + sqrt(5)*(x^6 - 2*x^2))*sqrt(x^4 + 2) + (x^8 - 2*x^4 + sqrt(5)*(x^8 - 2*x^4 - 4) - 4)*sqrt(sqrt(5) + 2) + 2*((sqrt(5)*sqrt(2)*x^5 - sqrt(2)*(x^5 + 4*x))*(x^4 + 2)^(3/4)*sqrt(sqrt(5) + 2) - 2*(sqrt(5)*sqrt(2)*x^3 - sqrt(2)*(x^7 - x^3))*(x^4 + 2)^(1/4))*(sqrt(5) + 2)^(1/4))/(x^8 - 2*x^4 - 4)) - sqrt(5)*sqrt(2)*x^5*(sqrt(5) + 2)^(1/4)*log(2*(4*(x^6 - 6*x^2 + sqrt(5)*(x^6 - 2*x^2))*sqrt(x^4 + 2) + (x^8 - 2*x^4 + sqrt(5)*(x^8 - 2*x^4 - 4) - 4)*sqrt(sqrt(5) + 2) - 2*((sqrt(5)*sqrt(2)*x^5 - sqrt(2)*(x^5 + 4*x))*(x^4 + 2)^(3/4)*sqrt(sqrt(5) + 2) - 2*(sqrt(5)*sqrt(2)*x^3 - sqrt(2)*(x^7 - x^3))*(x^4 + 2)^(1/4))*(sqrt(5) + 2)^(1/4))/(x^8 - 2*x^4 - 4)) + 8*sqrt(5)*x^5*(sqrt(5) - 2)^(1/4)*arctan(1/4*(sqrt(2)*(11*x^8 + 22*x^4 + 2*(11*x^6 + 14*x^2 + sqrt(5)*(5*x^6 + 6*x^2))*sqrt(x^4 + 2)*sqrt(sqrt(5) - 2) + sqrt(5)*(5*x^8 + 10*x^4 + 4) + 12)*sqrt((sqrt(5) - 1)*sqrt(sqrt(5) - 2))*(sqrt(5) - 2)^(1/4) + 4*((3*x^5 + sqrt(5)*(x^5 + 2*x) + 2*x)*(x^4 + 2)^(3/4) + (7*x^7 + 8*x^3 + sqrt(5)*(3*x^7 + 4*x^3))*(x^4 + 2)^(1/4)*sqrt(sqrt(5) - 2))*(sqrt(5) - 2)^(1/4))/(x^8 - 2*x^4 - 4)) + 2*sqrt(5)*x^5*(sqrt(5) - 2)^(1/4)*log((4*(x^5 + sqrt(5)*x - x)*(x^4 + 2)^(3/4) + 2*(3*x^7 + 2*x^3 + sqrt(5)*(x^7 + 2*x^3))*(x^4 + 2)^(1/4)*sqrt(sqrt(5) - 2) + (2*(sqrt(5)*x^6 + x^6 + 4*x^2)*sqrt(x^4 + 2) + (7*x^8 + 14*x^4 + sqrt(5)*(3*x^8 + 6*x^4 + 4) + 4)*sqrt(sqrt(5) - 2))*(sqrt(5) - 2)^(1/4))/(x^8 - 2*x^4 - 4)) - 2*sqrt(5)*x^5*(sqrt(5) - 2)^(1/4)*log((4*(x^5 + sqrt(5)*x - x)*(x^4 + 2)^(3/4) + 2*(3*x^7 + 2*x^3 + sqrt(5)*(x^7 + 2*x^3))*(x^4 + 2)^(1/4)*sqrt(sqrt(5) - 2) - (2*(sqrt(5)*x^6 + x^6 + 4*x^2)*sqrt(x^4 + 2) + (7*x^8 + 14*x^4 + sqrt(5)*(3*x^8 + 6*x^4 + 4) + 4)*sqrt(sqrt(5) - 2))*(sqrt(5) - 2)^(1/4))/(x^8 - 2*x^4 - 4)) - 32*(2*x^4 - 1)*(x^4 + 2)^(1/4))/x^5","B",0
1069,1,3713,0,8.302465," ","integrate((x^4-1)^(1/4)*(2*x^8+x^4-1)/x^6/(x^8-x^4+1),x, algorithm=""fricas"")","-\frac{20 \, \sqrt{6} \sqrt{2} x^{5} \sqrt{-4 \, \sqrt{3} + 8} \arctan\left(-\frac{7560 \, x^{16} - 15120 \, x^{12} + 15048 \, x^{8} - 7488 \, x^{4} + 12 \, \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(30 \, x^{13} + 75 \, x^{9} - 467 \, x^{5} - 7 \, x\right)} + 3 \, \sqrt{2} {\left(15 \, x^{13} - 75 \, x^{9} - 149 \, x^{5} - 4 \, x\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} - 12 \, \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(30 \, x^{15} - 165 \, x^{11} - 227 \, x^{7} + 369 \, x^{3}\right)} + 3 \, \sqrt{2} {\left(15 \, x^{15} + 30 \, x^{11} - 254 \, x^{7} + 213 \, x^{3}\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} + \sqrt{6} {\left(2 \, \sqrt{6} \sqrt{x^{4} - 1} {\left(\sqrt{3} \sqrt{2} {\left(105 \, x^{14} + 240 \, x^{10} - 352 \, x^{6} - 47 \, x^{2}\right)} - 3 \, \sqrt{2} {\left(60 \, x^{14} + 135 \, x^{10} - 191 \, x^{6} + 27 \, x^{2}\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} + \sqrt{6} {\left(2 \, \sqrt{3} \sqrt{2} {\left(120 \, x^{16} + 150 \, x^{12} - 653 \, x^{8} + 381 \, x^{4} + 1\right)} - 3 \, \sqrt{2} {\left(105 \, x^{16} + 240 \, x^{12} - 353 \, x^{8} + 10 \, x^{4} - 1\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} + 24 \, {\left(240 \, x^{13} + 435 \, x^{9} - 883 \, x^{5} - 2 \, \sqrt{3} {\left(60 \, x^{13} + 135 \, x^{9} - 135 \, x^{5} - x\right)} + 3 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + 24 \, {\left(210 \, x^{15} + 360 \, x^{11} - 752 \, x^{7} + 178 \, x^{3} - \sqrt{3} {\left(105 \, x^{15} + 240 \, x^{11} - 240 \, x^{7} - 103 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{42 \, x^{8} - 42 \, x^{4} + \sqrt{6} {\left(3 \, \sqrt{2} x^{5} - \sqrt{3} \sqrt{2} {\left(2 \, x^{5} - x\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{-4 \, \sqrt{3} + 8} - \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{7} - x^{3}\right)} - 3 \, \sqrt{2} {\left(x^{7} - x^{3}\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} - 24 \, \sqrt{3} {\left(x^{8} - x^{4}\right)} + 12 \, {\left(4 \, x^{6} - 2 \, x^{2} - \sqrt{3} {\left(2 \, x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} - 1} + 6}{x^{8} - x^{4} + 1}} - 36 \, \sqrt{3} {\left(105 \, x^{16} - 210 \, x^{12} + 435 \, x^{8} - 330 \, x^{4} + 1\right)} + 144 \, {\left(60 \, x^{14} - 90 \, x^{10} - 22 \, x^{6} + 26 \, x^{2} - 15 \, \sqrt{3} {\left(2 \, x^{14} - 3 \, x^{10} + 3 \, x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} - 1} - 72}{36 \, {\left(225 \, x^{16} - 450 \, x^{12} - 2685 \, x^{8} + 2910 \, x^{4} + 1\right)}}\right) - 20 \, \sqrt{6} \sqrt{2} x^{5} \sqrt{-4 \, \sqrt{3} + 8} \arctan\left(-\frac{7560 \, x^{16} - 15120 \, x^{12} + 15048 \, x^{8} - 7488 \, x^{4} - 12 \, \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(30 \, x^{13} + 75 \, x^{9} - 467 \, x^{5} - 7 \, x\right)} + 3 \, \sqrt{2} {\left(15 \, x^{13} - 75 \, x^{9} - 149 \, x^{5} - 4 \, x\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} + 12 \, \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(30 \, x^{15} - 165 \, x^{11} - 227 \, x^{7} + 369 \, x^{3}\right)} + 3 \, \sqrt{2} {\left(15 \, x^{15} + 30 \, x^{11} - 254 \, x^{7} + 213 \, x^{3}\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} - \sqrt{6} {\left(2 \, \sqrt{6} \sqrt{x^{4} - 1} {\left(\sqrt{3} \sqrt{2} {\left(105 \, x^{14} + 240 \, x^{10} - 352 \, x^{6} - 47 \, x^{2}\right)} - 3 \, \sqrt{2} {\left(60 \, x^{14} + 135 \, x^{10} - 191 \, x^{6} + 27 \, x^{2}\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} + \sqrt{6} {\left(2 \, \sqrt{3} \sqrt{2} {\left(120 \, x^{16} + 150 \, x^{12} - 653 \, x^{8} + 381 \, x^{4} + 1\right)} - 3 \, \sqrt{2} {\left(105 \, x^{16} + 240 \, x^{12} - 353 \, x^{8} + 10 \, x^{4} - 1\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} - 24 \, {\left(240 \, x^{13} + 435 \, x^{9} - 883 \, x^{5} - 2 \, \sqrt{3} {\left(60 \, x^{13} + 135 \, x^{9} - 135 \, x^{5} - x\right)} + 3 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} - 24 \, {\left(210 \, x^{15} + 360 \, x^{11} - 752 \, x^{7} + 178 \, x^{3} - \sqrt{3} {\left(105 \, x^{15} + 240 \, x^{11} - 240 \, x^{7} - 103 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{42 \, x^{8} - 42 \, x^{4} - \sqrt{6} {\left(3 \, \sqrt{2} x^{5} - \sqrt{3} \sqrt{2} {\left(2 \, x^{5} - x\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{-4 \, \sqrt{3} + 8} + \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{7} - x^{3}\right)} - 3 \, \sqrt{2} {\left(x^{7} - x^{3}\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} - 24 \, \sqrt{3} {\left(x^{8} - x^{4}\right)} + 12 \, {\left(4 \, x^{6} - 2 \, x^{2} - \sqrt{3} {\left(2 \, x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} - 1} + 6}{x^{8} - x^{4} + 1}} - 36 \, \sqrt{3} {\left(105 \, x^{16} - 210 \, x^{12} + 435 \, x^{8} - 330 \, x^{4} + 1\right)} + 144 \, {\left(60 \, x^{14} - 90 \, x^{10} - 22 \, x^{6} + 26 \, x^{2} - 15 \, \sqrt{3} {\left(2 \, x^{14} - 3 \, x^{10} + 3 \, x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} - 1} - 72}{36 \, {\left(225 \, x^{16} - 450 \, x^{12} - 2685 \, x^{8} + 2910 \, x^{4} + 1\right)}}\right) + 40 \, \sqrt{6} \sqrt{2} x^{5} \sqrt{\sqrt{3} + 2} \arctan\left(-\frac{1890 \, x^{16} - 3780 \, x^{12} + 3762 \, x^{8} - 1872 \, x^{4} + \sqrt{3} {\left(12 \, {\left(240 \, x^{13} + 435 \, x^{9} - 883 \, x^{5} + 2 \, \sqrt{3} {\left(60 \, x^{13} + 135 \, x^{9} - 135 \, x^{5} - x\right)} + 3 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} - {\left(2 \, \sqrt{6} \sqrt{x^{4} - 1} {\left(\sqrt{3} \sqrt{2} {\left(105 \, x^{14} + 240 \, x^{10} - 352 \, x^{6} - 47 \, x^{2}\right)} + 3 \, \sqrt{2} {\left(60 \, x^{14} + 135 \, x^{10} - 191 \, x^{6} + 27 \, x^{2}\right)}\right)} + \sqrt{6} {\left(2 \, \sqrt{3} \sqrt{2} {\left(120 \, x^{16} + 150 \, x^{12} - 653 \, x^{8} + 381 \, x^{4} + 1\right)} + 3 \, \sqrt{2} {\left(105 \, x^{16} + 240 \, x^{12} - 353 \, x^{8} + 10 \, x^{4} - 1\right)}\right)}\right)} \sqrt{\sqrt{3} + 2} + 12 \, {\left(210 \, x^{15} + 360 \, x^{11} - 752 \, x^{7} + 178 \, x^{3} + \sqrt{3} {\left(105 \, x^{15} + 240 \, x^{11} - 240 \, x^{7} - 103 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{21 \, x^{8} - 21 \, x^{4} + 12 \, \sqrt{3} {\left(x^{8} - x^{4}\right)} + 6 \, {\left(4 \, x^{6} - 2 \, x^{2} + \sqrt{3} {\left(2 \, x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} - 1} + {\left(\sqrt{6} {\left(3 \, \sqrt{2} x^{5} + \sqrt{3} \sqrt{2} {\left(2 \, x^{5} - x\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{7} - x^{3}\right)} + 3 \, \sqrt{2} {\left(x^{7} - x^{3}\right)}\right)}\right)} \sqrt{\sqrt{3} + 2} + 3}{x^{8} - x^{4} + 1}} + 9 \, \sqrt{3} {\left(105 \, x^{16} - 210 \, x^{12} + 435 \, x^{8} - 330 \, x^{4} + 1\right)} + 36 \, {\left(60 \, x^{14} - 90 \, x^{10} - 22 \, x^{6} + 26 \, x^{2} + 15 \, \sqrt{3} {\left(2 \, x^{14} - 3 \, x^{10} + 3 \, x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} - 1} - 6 \, {\left(\sqrt{6} {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(30 \, x^{13} + 75 \, x^{9} - 467 \, x^{5} - 7 \, x\right)} - 3 \, \sqrt{2} {\left(15 \, x^{13} - 75 \, x^{9} - 149 \, x^{5} - 4 \, x\right)}\right)} - \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(30 \, x^{15} - 165 \, x^{11} - 227 \, x^{7} + 369 \, x^{3}\right)} - 3 \, \sqrt{2} {\left(15 \, x^{15} + 30 \, x^{11} - 254 \, x^{7} + 213 \, x^{3}\right)}\right)}\right)} \sqrt{\sqrt{3} + 2} - 18}{9 \, {\left(225 \, x^{16} - 450 \, x^{12} - 2685 \, x^{8} + 2910 \, x^{4} + 1\right)}}\right) + 40 \, \sqrt{6} \sqrt{2} x^{5} \sqrt{\sqrt{3} + 2} \arctan\left(\frac{1890 \, x^{16} - 3780 \, x^{12} + 3762 \, x^{8} - 1872 \, x^{4} + \sqrt{3} {\left(12 \, {\left(240 \, x^{13} + 435 \, x^{9} - 883 \, x^{5} + 2 \, \sqrt{3} {\left(60 \, x^{13} + 135 \, x^{9} - 135 \, x^{5} - x\right)} + 3 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + {\left(2 \, \sqrt{6} \sqrt{x^{4} - 1} {\left(\sqrt{3} \sqrt{2} {\left(105 \, x^{14} + 240 \, x^{10} - 352 \, x^{6} - 47 \, x^{2}\right)} + 3 \, \sqrt{2} {\left(60 \, x^{14} + 135 \, x^{10} - 191 \, x^{6} + 27 \, x^{2}\right)}\right)} + \sqrt{6} {\left(2 \, \sqrt{3} \sqrt{2} {\left(120 \, x^{16} + 150 \, x^{12} - 653 \, x^{8} + 381 \, x^{4} + 1\right)} + 3 \, \sqrt{2} {\left(105 \, x^{16} + 240 \, x^{12} - 353 \, x^{8} + 10 \, x^{4} - 1\right)}\right)}\right)} \sqrt{\sqrt{3} + 2} + 12 \, {\left(210 \, x^{15} + 360 \, x^{11} - 752 \, x^{7} + 178 \, x^{3} + \sqrt{3} {\left(105 \, x^{15} + 240 \, x^{11} - 240 \, x^{7} - 103 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{21 \, x^{8} - 21 \, x^{4} + 12 \, \sqrt{3} {\left(x^{8} - x^{4}\right)} + 6 \, {\left(4 \, x^{6} - 2 \, x^{2} + \sqrt{3} {\left(2 \, x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} - 1} - {\left(\sqrt{6} {\left(3 \, \sqrt{2} x^{5} + \sqrt{3} \sqrt{2} {\left(2 \, x^{5} - x\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{7} - x^{3}\right)} + 3 \, \sqrt{2} {\left(x^{7} - x^{3}\right)}\right)}\right)} \sqrt{\sqrt{3} + 2} + 3}{x^{8} - x^{4} + 1}} + 9 \, \sqrt{3} {\left(105 \, x^{16} - 210 \, x^{12} + 435 \, x^{8} - 330 \, x^{4} + 1\right)} + 36 \, {\left(60 \, x^{14} - 90 \, x^{10} - 22 \, x^{6} + 26 \, x^{2} + 15 \, \sqrt{3} {\left(2 \, x^{14} - 3 \, x^{10} + 3 \, x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} - 1} + 6 \, {\left(\sqrt{6} {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(30 \, x^{13} + 75 \, x^{9} - 467 \, x^{5} - 7 \, x\right)} - 3 \, \sqrt{2} {\left(15 \, x^{13} - 75 \, x^{9} - 149 \, x^{5} - 4 \, x\right)}\right)} - \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(30 \, x^{15} - 165 \, x^{11} - 227 \, x^{7} + 369 \, x^{3}\right)} - 3 \, \sqrt{2} {\left(15 \, x^{15} + 30 \, x^{11} - 254 \, x^{7} + 213 \, x^{3}\right)}\right)}\right)} \sqrt{\sqrt{3} + 2} - 18}{9 \, {\left(225 \, x^{16} - 450 \, x^{12} - 2685 \, x^{8} + 2910 \, x^{4} + 1\right)}}\right) + 5 \, \sqrt{6} {\left(\sqrt{3} \sqrt{2} x^{5} + 2 \, \sqrt{2} x^{5}\right)} \sqrt{-4 \, \sqrt{3} + 8} \log\left(\frac{216 \, {\left(42 \, x^{8} - 42 \, x^{4} + \sqrt{6} {\left(3 \, \sqrt{2} x^{5} - \sqrt{3} \sqrt{2} {\left(2 \, x^{5} - x\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{-4 \, \sqrt{3} + 8} - \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{7} - x^{3}\right)} - 3 \, \sqrt{2} {\left(x^{7} - x^{3}\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} - 24 \, \sqrt{3} {\left(x^{8} - x^{4}\right)} + 12 \, {\left(4 \, x^{6} - 2 \, x^{2} - \sqrt{3} {\left(2 \, x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} - 1} + 6\right)}}{x^{8} - x^{4} + 1}\right) - 5 \, \sqrt{6} {\left(\sqrt{3} \sqrt{2} x^{5} + 2 \, \sqrt{2} x^{5}\right)} \sqrt{-4 \, \sqrt{3} + 8} \log\left(\frac{216 \, {\left(42 \, x^{8} - 42 \, x^{4} - \sqrt{6} {\left(3 \, \sqrt{2} x^{5} - \sqrt{3} \sqrt{2} {\left(2 \, x^{5} - x\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{-4 \, \sqrt{3} + 8} + \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{7} - x^{3}\right)} - 3 \, \sqrt{2} {\left(x^{7} - x^{3}\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} - 24 \, \sqrt{3} {\left(x^{8} - x^{4}\right)} + 12 \, {\left(4 \, x^{6} - 2 \, x^{2} - \sqrt{3} {\left(2 \, x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} - 1} + 6\right)}}{x^{8} - x^{4} + 1}\right) - 10 \, \sqrt{6} {\left(\sqrt{3} \sqrt{2} x^{5} - 2 \, \sqrt{2} x^{5}\right)} \sqrt{\sqrt{3} + 2} \log\left(\frac{432 \, {\left(21 \, x^{8} - 21 \, x^{4} + 12 \, \sqrt{3} {\left(x^{8} - x^{4}\right)} + 6 \, {\left(4 \, x^{6} - 2 \, x^{2} + \sqrt{3} {\left(2 \, x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} - 1} + {\left(\sqrt{6} {\left(3 \, \sqrt{2} x^{5} + \sqrt{3} \sqrt{2} {\left(2 \, x^{5} - x\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{7} - x^{3}\right)} + 3 \, \sqrt{2} {\left(x^{7} - x^{3}\right)}\right)}\right)} \sqrt{\sqrt{3} + 2} + 3\right)}}{x^{8} - x^{4} + 1}\right) + 10 \, \sqrt{6} {\left(\sqrt{3} \sqrt{2} x^{5} - 2 \, \sqrt{2} x^{5}\right)} \sqrt{\sqrt{3} + 2} \log\left(\frac{432 \, {\left(21 \, x^{8} - 21 \, x^{4} + 12 \, \sqrt{3} {\left(x^{8} - x^{4}\right)} + 6 \, {\left(4 \, x^{6} - 2 \, x^{2} + \sqrt{3} {\left(2 \, x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} - 1} - {\left(\sqrt{6} {\left(3 \, \sqrt{2} x^{5} + \sqrt{3} \sqrt{2} {\left(2 \, x^{5} - x\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{7} - x^{3}\right)} + 3 \, \sqrt{2} {\left(x^{7} - x^{3}\right)}\right)}\right)} \sqrt{\sqrt{3} + 2} + 3\right)}}{x^{8} - x^{4} + 1}\right) + 64 \, {\left(x^{4} - 1\right)}^{\frac{5}{4}}}{320 \, x^{5}}"," ",0,"-1/320*(20*sqrt(6)*sqrt(2)*x^5*sqrt(-4*sqrt(3) + 8)*arctan(-1/36*(7560*x^16 - 15120*x^12 + 15048*x^8 - 7488*x^4 + 12*sqrt(6)*(x^4 - 1)^(3/4)*(sqrt(3)*sqrt(2)*(30*x^13 + 75*x^9 - 467*x^5 - 7*x) + 3*sqrt(2)*(15*x^13 - 75*x^9 - 149*x^5 - 4*x))*sqrt(-4*sqrt(3) + 8) - 12*sqrt(6)*(x^4 - 1)^(1/4)*(sqrt(3)*sqrt(2)*(30*x^15 - 165*x^11 - 227*x^7 + 369*x^3) + 3*sqrt(2)*(15*x^15 + 30*x^11 - 254*x^7 + 213*x^3))*sqrt(-4*sqrt(3) + 8) + sqrt(6)*(2*sqrt(6)*sqrt(x^4 - 1)*(sqrt(3)*sqrt(2)*(105*x^14 + 240*x^10 - 352*x^6 - 47*x^2) - 3*sqrt(2)*(60*x^14 + 135*x^10 - 191*x^6 + 27*x^2))*sqrt(-4*sqrt(3) + 8) + sqrt(6)*(2*sqrt(3)*sqrt(2)*(120*x^16 + 150*x^12 - 653*x^8 + 381*x^4 + 1) - 3*sqrt(2)*(105*x^16 + 240*x^12 - 353*x^8 + 10*x^4 - 1))*sqrt(-4*sqrt(3) + 8) + 24*(240*x^13 + 435*x^9 - 883*x^5 - 2*sqrt(3)*(60*x^13 + 135*x^9 - 135*x^5 - x) + 3*x)*(x^4 - 1)^(3/4) + 24*(210*x^15 + 360*x^11 - 752*x^7 + 178*x^3 - sqrt(3)*(105*x^15 + 240*x^11 - 240*x^7 - 103*x^3))*(x^4 - 1)^(1/4))*sqrt((42*x^8 - 42*x^4 + sqrt(6)*(3*sqrt(2)*x^5 - sqrt(3)*sqrt(2)*(2*x^5 - x))*(x^4 - 1)^(3/4)*sqrt(-4*sqrt(3) + 8) - sqrt(6)*(x^4 - 1)^(1/4)*(sqrt(3)*sqrt(2)*(2*x^7 - x^3) - 3*sqrt(2)*(x^7 - x^3))*sqrt(-4*sqrt(3) + 8) - 24*sqrt(3)*(x^8 - x^4) + 12*(4*x^6 - 2*x^2 - sqrt(3)*(2*x^6 - x^2))*sqrt(x^4 - 1) + 6)/(x^8 - x^4 + 1)) - 36*sqrt(3)*(105*x^16 - 210*x^12 + 435*x^8 - 330*x^4 + 1) + 144*(60*x^14 - 90*x^10 - 22*x^6 + 26*x^2 - 15*sqrt(3)*(2*x^14 - 3*x^10 + 3*x^6 - x^2))*sqrt(x^4 - 1) - 72)/(225*x^16 - 450*x^12 - 2685*x^8 + 2910*x^4 + 1)) - 20*sqrt(6)*sqrt(2)*x^5*sqrt(-4*sqrt(3) + 8)*arctan(-1/36*(7560*x^16 - 15120*x^12 + 15048*x^8 - 7488*x^4 - 12*sqrt(6)*(x^4 - 1)^(3/4)*(sqrt(3)*sqrt(2)*(30*x^13 + 75*x^9 - 467*x^5 - 7*x) + 3*sqrt(2)*(15*x^13 - 75*x^9 - 149*x^5 - 4*x))*sqrt(-4*sqrt(3) + 8) + 12*sqrt(6)*(x^4 - 1)^(1/4)*(sqrt(3)*sqrt(2)*(30*x^15 - 165*x^11 - 227*x^7 + 369*x^3) + 3*sqrt(2)*(15*x^15 + 30*x^11 - 254*x^7 + 213*x^3))*sqrt(-4*sqrt(3) + 8) - sqrt(6)*(2*sqrt(6)*sqrt(x^4 - 1)*(sqrt(3)*sqrt(2)*(105*x^14 + 240*x^10 - 352*x^6 - 47*x^2) - 3*sqrt(2)*(60*x^14 + 135*x^10 - 191*x^6 + 27*x^2))*sqrt(-4*sqrt(3) + 8) + sqrt(6)*(2*sqrt(3)*sqrt(2)*(120*x^16 + 150*x^12 - 653*x^8 + 381*x^4 + 1) - 3*sqrt(2)*(105*x^16 + 240*x^12 - 353*x^8 + 10*x^4 - 1))*sqrt(-4*sqrt(3) + 8) - 24*(240*x^13 + 435*x^9 - 883*x^5 - 2*sqrt(3)*(60*x^13 + 135*x^9 - 135*x^5 - x) + 3*x)*(x^4 - 1)^(3/4) - 24*(210*x^15 + 360*x^11 - 752*x^7 + 178*x^3 - sqrt(3)*(105*x^15 + 240*x^11 - 240*x^7 - 103*x^3))*(x^4 - 1)^(1/4))*sqrt((42*x^8 - 42*x^4 - sqrt(6)*(3*sqrt(2)*x^5 - sqrt(3)*sqrt(2)*(2*x^5 - x))*(x^4 - 1)^(3/4)*sqrt(-4*sqrt(3) + 8) + sqrt(6)*(x^4 - 1)^(1/4)*(sqrt(3)*sqrt(2)*(2*x^7 - x^3) - 3*sqrt(2)*(x^7 - x^3))*sqrt(-4*sqrt(3) + 8) - 24*sqrt(3)*(x^8 - x^4) + 12*(4*x^6 - 2*x^2 - sqrt(3)*(2*x^6 - x^2))*sqrt(x^4 - 1) + 6)/(x^8 - x^4 + 1)) - 36*sqrt(3)*(105*x^16 - 210*x^12 + 435*x^8 - 330*x^4 + 1) + 144*(60*x^14 - 90*x^10 - 22*x^6 + 26*x^2 - 15*sqrt(3)*(2*x^14 - 3*x^10 + 3*x^6 - x^2))*sqrt(x^4 - 1) - 72)/(225*x^16 - 450*x^12 - 2685*x^8 + 2910*x^4 + 1)) + 40*sqrt(6)*sqrt(2)*x^5*sqrt(sqrt(3) + 2)*arctan(-1/9*(1890*x^16 - 3780*x^12 + 3762*x^8 - 1872*x^4 + sqrt(3)*(12*(240*x^13 + 435*x^9 - 883*x^5 + 2*sqrt(3)*(60*x^13 + 135*x^9 - 135*x^5 - x) + 3*x)*(x^4 - 1)^(3/4) - (2*sqrt(6)*sqrt(x^4 - 1)*(sqrt(3)*sqrt(2)*(105*x^14 + 240*x^10 - 352*x^6 - 47*x^2) + 3*sqrt(2)*(60*x^14 + 135*x^10 - 191*x^6 + 27*x^2)) + sqrt(6)*(2*sqrt(3)*sqrt(2)*(120*x^16 + 150*x^12 - 653*x^8 + 381*x^4 + 1) + 3*sqrt(2)*(105*x^16 + 240*x^12 - 353*x^8 + 10*x^4 - 1)))*sqrt(sqrt(3) + 2) + 12*(210*x^15 + 360*x^11 - 752*x^7 + 178*x^3 + sqrt(3)*(105*x^15 + 240*x^11 - 240*x^7 - 103*x^3))*(x^4 - 1)^(1/4))*sqrt((21*x^8 - 21*x^4 + 12*sqrt(3)*(x^8 - x^4) + 6*(4*x^6 - 2*x^2 + sqrt(3)*(2*x^6 - x^2))*sqrt(x^4 - 1) + (sqrt(6)*(3*sqrt(2)*x^5 + sqrt(3)*sqrt(2)*(2*x^5 - x))*(x^4 - 1)^(3/4) + sqrt(6)*(x^4 - 1)^(1/4)*(sqrt(3)*sqrt(2)*(2*x^7 - x^3) + 3*sqrt(2)*(x^7 - x^3)))*sqrt(sqrt(3) + 2) + 3)/(x^8 - x^4 + 1)) + 9*sqrt(3)*(105*x^16 - 210*x^12 + 435*x^8 - 330*x^4 + 1) + 36*(60*x^14 - 90*x^10 - 22*x^6 + 26*x^2 + 15*sqrt(3)*(2*x^14 - 3*x^10 + 3*x^6 - x^2))*sqrt(x^4 - 1) - 6*(sqrt(6)*(x^4 - 1)^(3/4)*(sqrt(3)*sqrt(2)*(30*x^13 + 75*x^9 - 467*x^5 - 7*x) - 3*sqrt(2)*(15*x^13 - 75*x^9 - 149*x^5 - 4*x)) - sqrt(6)*(x^4 - 1)^(1/4)*(sqrt(3)*sqrt(2)*(30*x^15 - 165*x^11 - 227*x^7 + 369*x^3) - 3*sqrt(2)*(15*x^15 + 30*x^11 - 254*x^7 + 213*x^3)))*sqrt(sqrt(3) + 2) - 18)/(225*x^16 - 450*x^12 - 2685*x^8 + 2910*x^4 + 1)) + 40*sqrt(6)*sqrt(2)*x^5*sqrt(sqrt(3) + 2)*arctan(1/9*(1890*x^16 - 3780*x^12 + 3762*x^8 - 1872*x^4 + sqrt(3)*(12*(240*x^13 + 435*x^9 - 883*x^5 + 2*sqrt(3)*(60*x^13 + 135*x^9 - 135*x^5 - x) + 3*x)*(x^4 - 1)^(3/4) + (2*sqrt(6)*sqrt(x^4 - 1)*(sqrt(3)*sqrt(2)*(105*x^14 + 240*x^10 - 352*x^6 - 47*x^2) + 3*sqrt(2)*(60*x^14 + 135*x^10 - 191*x^6 + 27*x^2)) + sqrt(6)*(2*sqrt(3)*sqrt(2)*(120*x^16 + 150*x^12 - 653*x^8 + 381*x^4 + 1) + 3*sqrt(2)*(105*x^16 + 240*x^12 - 353*x^8 + 10*x^4 - 1)))*sqrt(sqrt(3) + 2) + 12*(210*x^15 + 360*x^11 - 752*x^7 + 178*x^3 + sqrt(3)*(105*x^15 + 240*x^11 - 240*x^7 - 103*x^3))*(x^4 - 1)^(1/4))*sqrt((21*x^8 - 21*x^4 + 12*sqrt(3)*(x^8 - x^4) + 6*(4*x^6 - 2*x^2 + sqrt(3)*(2*x^6 - x^2))*sqrt(x^4 - 1) - (sqrt(6)*(3*sqrt(2)*x^5 + sqrt(3)*sqrt(2)*(2*x^5 - x))*(x^4 - 1)^(3/4) + sqrt(6)*(x^4 - 1)^(1/4)*(sqrt(3)*sqrt(2)*(2*x^7 - x^3) + 3*sqrt(2)*(x^7 - x^3)))*sqrt(sqrt(3) + 2) + 3)/(x^8 - x^4 + 1)) + 9*sqrt(3)*(105*x^16 - 210*x^12 + 435*x^8 - 330*x^4 + 1) + 36*(60*x^14 - 90*x^10 - 22*x^6 + 26*x^2 + 15*sqrt(3)*(2*x^14 - 3*x^10 + 3*x^6 - x^2))*sqrt(x^4 - 1) + 6*(sqrt(6)*(x^4 - 1)^(3/4)*(sqrt(3)*sqrt(2)*(30*x^13 + 75*x^9 - 467*x^5 - 7*x) - 3*sqrt(2)*(15*x^13 - 75*x^9 - 149*x^5 - 4*x)) - sqrt(6)*(x^4 - 1)^(1/4)*(sqrt(3)*sqrt(2)*(30*x^15 - 165*x^11 - 227*x^7 + 369*x^3) - 3*sqrt(2)*(15*x^15 + 30*x^11 - 254*x^7 + 213*x^3)))*sqrt(sqrt(3) + 2) - 18)/(225*x^16 - 450*x^12 - 2685*x^8 + 2910*x^4 + 1)) + 5*sqrt(6)*(sqrt(3)*sqrt(2)*x^5 + 2*sqrt(2)*x^5)*sqrt(-4*sqrt(3) + 8)*log(216*(42*x^8 - 42*x^4 + sqrt(6)*(3*sqrt(2)*x^5 - sqrt(3)*sqrt(2)*(2*x^5 - x))*(x^4 - 1)^(3/4)*sqrt(-4*sqrt(3) + 8) - sqrt(6)*(x^4 - 1)^(1/4)*(sqrt(3)*sqrt(2)*(2*x^7 - x^3) - 3*sqrt(2)*(x^7 - x^3))*sqrt(-4*sqrt(3) + 8) - 24*sqrt(3)*(x^8 - x^4) + 12*(4*x^6 - 2*x^2 - sqrt(3)*(2*x^6 - x^2))*sqrt(x^4 - 1) + 6)/(x^8 - x^4 + 1)) - 5*sqrt(6)*(sqrt(3)*sqrt(2)*x^5 + 2*sqrt(2)*x^5)*sqrt(-4*sqrt(3) + 8)*log(216*(42*x^8 - 42*x^4 - sqrt(6)*(3*sqrt(2)*x^5 - sqrt(3)*sqrt(2)*(2*x^5 - x))*(x^4 - 1)^(3/4)*sqrt(-4*sqrt(3) + 8) + sqrt(6)*(x^4 - 1)^(1/4)*(sqrt(3)*sqrt(2)*(2*x^7 - x^3) - 3*sqrt(2)*(x^7 - x^3))*sqrt(-4*sqrt(3) + 8) - 24*sqrt(3)*(x^8 - x^4) + 12*(4*x^6 - 2*x^2 - sqrt(3)*(2*x^6 - x^2))*sqrt(x^4 - 1) + 6)/(x^8 - x^4 + 1)) - 10*sqrt(6)*(sqrt(3)*sqrt(2)*x^5 - 2*sqrt(2)*x^5)*sqrt(sqrt(3) + 2)*log(432*(21*x^8 - 21*x^4 + 12*sqrt(3)*(x^8 - x^4) + 6*(4*x^6 - 2*x^2 + sqrt(3)*(2*x^6 - x^2))*sqrt(x^4 - 1) + (sqrt(6)*(3*sqrt(2)*x^5 + sqrt(3)*sqrt(2)*(2*x^5 - x))*(x^4 - 1)^(3/4) + sqrt(6)*(x^4 - 1)^(1/4)*(sqrt(3)*sqrt(2)*(2*x^7 - x^3) + 3*sqrt(2)*(x^7 - x^3)))*sqrt(sqrt(3) + 2) + 3)/(x^8 - x^4 + 1)) + 10*sqrt(6)*(sqrt(3)*sqrt(2)*x^5 - 2*sqrt(2)*x^5)*sqrt(sqrt(3) + 2)*log(432*(21*x^8 - 21*x^4 + 12*sqrt(3)*(x^8 - x^4) + 6*(4*x^6 - 2*x^2 + sqrt(3)*(2*x^6 - x^2))*sqrt(x^4 - 1) - (sqrt(6)*(3*sqrt(2)*x^5 + sqrt(3)*sqrt(2)*(2*x^5 - x))*(x^4 - 1)^(3/4) + sqrt(6)*(x^4 - 1)^(1/4)*(sqrt(3)*sqrt(2)*(2*x^7 - x^3) + 3*sqrt(2)*(x^7 - x^3)))*sqrt(sqrt(3) + 2) + 3)/(x^8 - x^4 + 1)) + 64*(x^4 - 1)^(5/4))/x^5","B",0
1070,1,3713,0,8.380625," ","integrate((x^4-1)^(1/4)*(2*x^8+x^4-1)/x^6/(x^8-x^4+1),x, algorithm=""fricas"")","-\frac{20 \, \sqrt{6} \sqrt{2} x^{5} \sqrt{-4 \, \sqrt{3} + 8} \arctan\left(-\frac{7560 \, x^{16} - 15120 \, x^{12} + 15048 \, x^{8} - 7488 \, x^{4} + 12 \, \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(30 \, x^{13} + 75 \, x^{9} - 467 \, x^{5} - 7 \, x\right)} + 3 \, \sqrt{2} {\left(15 \, x^{13} - 75 \, x^{9} - 149 \, x^{5} - 4 \, x\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} - 12 \, \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(30 \, x^{15} - 165 \, x^{11} - 227 \, x^{7} + 369 \, x^{3}\right)} + 3 \, \sqrt{2} {\left(15 \, x^{15} + 30 \, x^{11} - 254 \, x^{7} + 213 \, x^{3}\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} + \sqrt{6} {\left(2 \, \sqrt{6} \sqrt{x^{4} - 1} {\left(\sqrt{3} \sqrt{2} {\left(105 \, x^{14} + 240 \, x^{10} - 352 \, x^{6} - 47 \, x^{2}\right)} - 3 \, \sqrt{2} {\left(60 \, x^{14} + 135 \, x^{10} - 191 \, x^{6} + 27 \, x^{2}\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} + \sqrt{6} {\left(2 \, \sqrt{3} \sqrt{2} {\left(120 \, x^{16} + 150 \, x^{12} - 653 \, x^{8} + 381 \, x^{4} + 1\right)} - 3 \, \sqrt{2} {\left(105 \, x^{16} + 240 \, x^{12} - 353 \, x^{8} + 10 \, x^{4} - 1\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} + 24 \, {\left(240 \, x^{13} + 435 \, x^{9} - 883 \, x^{5} - 2 \, \sqrt{3} {\left(60 \, x^{13} + 135 \, x^{9} - 135 \, x^{5} - x\right)} + 3 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + 24 \, {\left(210 \, x^{15} + 360 \, x^{11} - 752 \, x^{7} + 178 \, x^{3} - \sqrt{3} {\left(105 \, x^{15} + 240 \, x^{11} - 240 \, x^{7} - 103 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{42 \, x^{8} - 42 \, x^{4} + \sqrt{6} {\left(3 \, \sqrt{2} x^{5} - \sqrt{3} \sqrt{2} {\left(2 \, x^{5} - x\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{-4 \, \sqrt{3} + 8} - \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{7} - x^{3}\right)} - 3 \, \sqrt{2} {\left(x^{7} - x^{3}\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} - 24 \, \sqrt{3} {\left(x^{8} - x^{4}\right)} + 12 \, {\left(4 \, x^{6} - 2 \, x^{2} - \sqrt{3} {\left(2 \, x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} - 1} + 6}{x^{8} - x^{4} + 1}} - 36 \, \sqrt{3} {\left(105 \, x^{16} - 210 \, x^{12} + 435 \, x^{8} - 330 \, x^{4} + 1\right)} + 144 \, {\left(60 \, x^{14} - 90 \, x^{10} - 22 \, x^{6} + 26 \, x^{2} - 15 \, \sqrt{3} {\left(2 \, x^{14} - 3 \, x^{10} + 3 \, x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} - 1} - 72}{36 \, {\left(225 \, x^{16} - 450 \, x^{12} - 2685 \, x^{8} + 2910 \, x^{4} + 1\right)}}\right) - 20 \, \sqrt{6} \sqrt{2} x^{5} \sqrt{-4 \, \sqrt{3} + 8} \arctan\left(-\frac{7560 \, x^{16} - 15120 \, x^{12} + 15048 \, x^{8} - 7488 \, x^{4} - 12 \, \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(30 \, x^{13} + 75 \, x^{9} - 467 \, x^{5} - 7 \, x\right)} + 3 \, \sqrt{2} {\left(15 \, x^{13} - 75 \, x^{9} - 149 \, x^{5} - 4 \, x\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} + 12 \, \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(30 \, x^{15} - 165 \, x^{11} - 227 \, x^{7} + 369 \, x^{3}\right)} + 3 \, \sqrt{2} {\left(15 \, x^{15} + 30 \, x^{11} - 254 \, x^{7} + 213 \, x^{3}\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} - \sqrt{6} {\left(2 \, \sqrt{6} \sqrt{x^{4} - 1} {\left(\sqrt{3} \sqrt{2} {\left(105 \, x^{14} + 240 \, x^{10} - 352 \, x^{6} - 47 \, x^{2}\right)} - 3 \, \sqrt{2} {\left(60 \, x^{14} + 135 \, x^{10} - 191 \, x^{6} + 27 \, x^{2}\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} + \sqrt{6} {\left(2 \, \sqrt{3} \sqrt{2} {\left(120 \, x^{16} + 150 \, x^{12} - 653 \, x^{8} + 381 \, x^{4} + 1\right)} - 3 \, \sqrt{2} {\left(105 \, x^{16} + 240 \, x^{12} - 353 \, x^{8} + 10 \, x^{4} - 1\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} - 24 \, {\left(240 \, x^{13} + 435 \, x^{9} - 883 \, x^{5} - 2 \, \sqrt{3} {\left(60 \, x^{13} + 135 \, x^{9} - 135 \, x^{5} - x\right)} + 3 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} - 24 \, {\left(210 \, x^{15} + 360 \, x^{11} - 752 \, x^{7} + 178 \, x^{3} - \sqrt{3} {\left(105 \, x^{15} + 240 \, x^{11} - 240 \, x^{7} - 103 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{42 \, x^{8} - 42 \, x^{4} - \sqrt{6} {\left(3 \, \sqrt{2} x^{5} - \sqrt{3} \sqrt{2} {\left(2 \, x^{5} - x\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{-4 \, \sqrt{3} + 8} + \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{7} - x^{3}\right)} - 3 \, \sqrt{2} {\left(x^{7} - x^{3}\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} - 24 \, \sqrt{3} {\left(x^{8} - x^{4}\right)} + 12 \, {\left(4 \, x^{6} - 2 \, x^{2} - \sqrt{3} {\left(2 \, x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} - 1} + 6}{x^{8} - x^{4} + 1}} - 36 \, \sqrt{3} {\left(105 \, x^{16} - 210 \, x^{12} + 435 \, x^{8} - 330 \, x^{4} + 1\right)} + 144 \, {\left(60 \, x^{14} - 90 \, x^{10} - 22 \, x^{6} + 26 \, x^{2} - 15 \, \sqrt{3} {\left(2 \, x^{14} - 3 \, x^{10} + 3 \, x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} - 1} - 72}{36 \, {\left(225 \, x^{16} - 450 \, x^{12} - 2685 \, x^{8} + 2910 \, x^{4} + 1\right)}}\right) + 40 \, \sqrt{6} \sqrt{2} x^{5} \sqrt{\sqrt{3} + 2} \arctan\left(-\frac{1890 \, x^{16} - 3780 \, x^{12} + 3762 \, x^{8} - 1872 \, x^{4} + \sqrt{3} {\left(12 \, {\left(240 \, x^{13} + 435 \, x^{9} - 883 \, x^{5} + 2 \, \sqrt{3} {\left(60 \, x^{13} + 135 \, x^{9} - 135 \, x^{5} - x\right)} + 3 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} - {\left(2 \, \sqrt{6} \sqrt{x^{4} - 1} {\left(\sqrt{3} \sqrt{2} {\left(105 \, x^{14} + 240 \, x^{10} - 352 \, x^{6} - 47 \, x^{2}\right)} + 3 \, \sqrt{2} {\left(60 \, x^{14} + 135 \, x^{10} - 191 \, x^{6} + 27 \, x^{2}\right)}\right)} + \sqrt{6} {\left(2 \, \sqrt{3} \sqrt{2} {\left(120 \, x^{16} + 150 \, x^{12} - 653 \, x^{8} + 381 \, x^{4} + 1\right)} + 3 \, \sqrt{2} {\left(105 \, x^{16} + 240 \, x^{12} - 353 \, x^{8} + 10 \, x^{4} - 1\right)}\right)}\right)} \sqrt{\sqrt{3} + 2} + 12 \, {\left(210 \, x^{15} + 360 \, x^{11} - 752 \, x^{7} + 178 \, x^{3} + \sqrt{3} {\left(105 \, x^{15} + 240 \, x^{11} - 240 \, x^{7} - 103 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{21 \, x^{8} - 21 \, x^{4} + 12 \, \sqrt{3} {\left(x^{8} - x^{4}\right)} + 6 \, {\left(4 \, x^{6} - 2 \, x^{2} + \sqrt{3} {\left(2 \, x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} - 1} + {\left(\sqrt{6} {\left(3 \, \sqrt{2} x^{5} + \sqrt{3} \sqrt{2} {\left(2 \, x^{5} - x\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{7} - x^{3}\right)} + 3 \, \sqrt{2} {\left(x^{7} - x^{3}\right)}\right)}\right)} \sqrt{\sqrt{3} + 2} + 3}{x^{8} - x^{4} + 1}} + 9 \, \sqrt{3} {\left(105 \, x^{16} - 210 \, x^{12} + 435 \, x^{8} - 330 \, x^{4} + 1\right)} + 36 \, {\left(60 \, x^{14} - 90 \, x^{10} - 22 \, x^{6} + 26 \, x^{2} + 15 \, \sqrt{3} {\left(2 \, x^{14} - 3 \, x^{10} + 3 \, x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} - 1} - 6 \, {\left(\sqrt{6} {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(30 \, x^{13} + 75 \, x^{9} - 467 \, x^{5} - 7 \, x\right)} - 3 \, \sqrt{2} {\left(15 \, x^{13} - 75 \, x^{9} - 149 \, x^{5} - 4 \, x\right)}\right)} - \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(30 \, x^{15} - 165 \, x^{11} - 227 \, x^{7} + 369 \, x^{3}\right)} - 3 \, \sqrt{2} {\left(15 \, x^{15} + 30 \, x^{11} - 254 \, x^{7} + 213 \, x^{3}\right)}\right)}\right)} \sqrt{\sqrt{3} + 2} - 18}{9 \, {\left(225 \, x^{16} - 450 \, x^{12} - 2685 \, x^{8} + 2910 \, x^{4} + 1\right)}}\right) + 40 \, \sqrt{6} \sqrt{2} x^{5} \sqrt{\sqrt{3} + 2} \arctan\left(\frac{1890 \, x^{16} - 3780 \, x^{12} + 3762 \, x^{8} - 1872 \, x^{4} + \sqrt{3} {\left(12 \, {\left(240 \, x^{13} + 435 \, x^{9} - 883 \, x^{5} + 2 \, \sqrt{3} {\left(60 \, x^{13} + 135 \, x^{9} - 135 \, x^{5} - x\right)} + 3 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + {\left(2 \, \sqrt{6} \sqrt{x^{4} - 1} {\left(\sqrt{3} \sqrt{2} {\left(105 \, x^{14} + 240 \, x^{10} - 352 \, x^{6} - 47 \, x^{2}\right)} + 3 \, \sqrt{2} {\left(60 \, x^{14} + 135 \, x^{10} - 191 \, x^{6} + 27 \, x^{2}\right)}\right)} + \sqrt{6} {\left(2 \, \sqrt{3} \sqrt{2} {\left(120 \, x^{16} + 150 \, x^{12} - 653 \, x^{8} + 381 \, x^{4} + 1\right)} + 3 \, \sqrt{2} {\left(105 \, x^{16} + 240 \, x^{12} - 353 \, x^{8} + 10 \, x^{4} - 1\right)}\right)}\right)} \sqrt{\sqrt{3} + 2} + 12 \, {\left(210 \, x^{15} + 360 \, x^{11} - 752 \, x^{7} + 178 \, x^{3} + \sqrt{3} {\left(105 \, x^{15} + 240 \, x^{11} - 240 \, x^{7} - 103 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{21 \, x^{8} - 21 \, x^{4} + 12 \, \sqrt{3} {\left(x^{8} - x^{4}\right)} + 6 \, {\left(4 \, x^{6} - 2 \, x^{2} + \sqrt{3} {\left(2 \, x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} - 1} - {\left(\sqrt{6} {\left(3 \, \sqrt{2} x^{5} + \sqrt{3} \sqrt{2} {\left(2 \, x^{5} - x\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{7} - x^{3}\right)} + 3 \, \sqrt{2} {\left(x^{7} - x^{3}\right)}\right)}\right)} \sqrt{\sqrt{3} + 2} + 3}{x^{8} - x^{4} + 1}} + 9 \, \sqrt{3} {\left(105 \, x^{16} - 210 \, x^{12} + 435 \, x^{8} - 330 \, x^{4} + 1\right)} + 36 \, {\left(60 \, x^{14} - 90 \, x^{10} - 22 \, x^{6} + 26 \, x^{2} + 15 \, \sqrt{3} {\left(2 \, x^{14} - 3 \, x^{10} + 3 \, x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} - 1} + 6 \, {\left(\sqrt{6} {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(30 \, x^{13} + 75 \, x^{9} - 467 \, x^{5} - 7 \, x\right)} - 3 \, \sqrt{2} {\left(15 \, x^{13} - 75 \, x^{9} - 149 \, x^{5} - 4 \, x\right)}\right)} - \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(30 \, x^{15} - 165 \, x^{11} - 227 \, x^{7} + 369 \, x^{3}\right)} - 3 \, \sqrt{2} {\left(15 \, x^{15} + 30 \, x^{11} - 254 \, x^{7} + 213 \, x^{3}\right)}\right)}\right)} \sqrt{\sqrt{3} + 2} - 18}{9 \, {\left(225 \, x^{16} - 450 \, x^{12} - 2685 \, x^{8} + 2910 \, x^{4} + 1\right)}}\right) + 5 \, \sqrt{6} {\left(\sqrt{3} \sqrt{2} x^{5} + 2 \, \sqrt{2} x^{5}\right)} \sqrt{-4 \, \sqrt{3} + 8} \log\left(\frac{216 \, {\left(42 \, x^{8} - 42 \, x^{4} + \sqrt{6} {\left(3 \, \sqrt{2} x^{5} - \sqrt{3} \sqrt{2} {\left(2 \, x^{5} - x\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{-4 \, \sqrt{3} + 8} - \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{7} - x^{3}\right)} - 3 \, \sqrt{2} {\left(x^{7} - x^{3}\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} - 24 \, \sqrt{3} {\left(x^{8} - x^{4}\right)} + 12 \, {\left(4 \, x^{6} - 2 \, x^{2} - \sqrt{3} {\left(2 \, x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} - 1} + 6\right)}}{x^{8} - x^{4} + 1}\right) - 5 \, \sqrt{6} {\left(\sqrt{3} \sqrt{2} x^{5} + 2 \, \sqrt{2} x^{5}\right)} \sqrt{-4 \, \sqrt{3} + 8} \log\left(\frac{216 \, {\left(42 \, x^{8} - 42 \, x^{4} - \sqrt{6} {\left(3 \, \sqrt{2} x^{5} - \sqrt{3} \sqrt{2} {\left(2 \, x^{5} - x\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{-4 \, \sqrt{3} + 8} + \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{7} - x^{3}\right)} - 3 \, \sqrt{2} {\left(x^{7} - x^{3}\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} - 24 \, \sqrt{3} {\left(x^{8} - x^{4}\right)} + 12 \, {\left(4 \, x^{6} - 2 \, x^{2} - \sqrt{3} {\left(2 \, x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} - 1} + 6\right)}}{x^{8} - x^{4} + 1}\right) - 10 \, \sqrt{6} {\left(\sqrt{3} \sqrt{2} x^{5} - 2 \, \sqrt{2} x^{5}\right)} \sqrt{\sqrt{3} + 2} \log\left(\frac{432 \, {\left(21 \, x^{8} - 21 \, x^{4} + 12 \, \sqrt{3} {\left(x^{8} - x^{4}\right)} + 6 \, {\left(4 \, x^{6} - 2 \, x^{2} + \sqrt{3} {\left(2 \, x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} - 1} + {\left(\sqrt{6} {\left(3 \, \sqrt{2} x^{5} + \sqrt{3} \sqrt{2} {\left(2 \, x^{5} - x\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{7} - x^{3}\right)} + 3 \, \sqrt{2} {\left(x^{7} - x^{3}\right)}\right)}\right)} \sqrt{\sqrt{3} + 2} + 3\right)}}{x^{8} - x^{4} + 1}\right) + 10 \, \sqrt{6} {\left(\sqrt{3} \sqrt{2} x^{5} - 2 \, \sqrt{2} x^{5}\right)} \sqrt{\sqrt{3} + 2} \log\left(\frac{432 \, {\left(21 \, x^{8} - 21 \, x^{4} + 12 \, \sqrt{3} {\left(x^{8} - x^{4}\right)} + 6 \, {\left(4 \, x^{6} - 2 \, x^{2} + \sqrt{3} {\left(2 \, x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} - 1} - {\left(\sqrt{6} {\left(3 \, \sqrt{2} x^{5} + \sqrt{3} \sqrt{2} {\left(2 \, x^{5} - x\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + \sqrt{6} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{7} - x^{3}\right)} + 3 \, \sqrt{2} {\left(x^{7} - x^{3}\right)}\right)}\right)} \sqrt{\sqrt{3} + 2} + 3\right)}}{x^{8} - x^{4} + 1}\right) + 64 \, {\left(x^{4} - 1\right)}^{\frac{5}{4}}}{320 \, x^{5}}"," ",0,"-1/320*(20*sqrt(6)*sqrt(2)*x^5*sqrt(-4*sqrt(3) + 8)*arctan(-1/36*(7560*x^16 - 15120*x^12 + 15048*x^8 - 7488*x^4 + 12*sqrt(6)*(x^4 - 1)^(3/4)*(sqrt(3)*sqrt(2)*(30*x^13 + 75*x^9 - 467*x^5 - 7*x) + 3*sqrt(2)*(15*x^13 - 75*x^9 - 149*x^5 - 4*x))*sqrt(-4*sqrt(3) + 8) - 12*sqrt(6)*(x^4 - 1)^(1/4)*(sqrt(3)*sqrt(2)*(30*x^15 - 165*x^11 - 227*x^7 + 369*x^3) + 3*sqrt(2)*(15*x^15 + 30*x^11 - 254*x^7 + 213*x^3))*sqrt(-4*sqrt(3) + 8) + sqrt(6)*(2*sqrt(6)*sqrt(x^4 - 1)*(sqrt(3)*sqrt(2)*(105*x^14 + 240*x^10 - 352*x^6 - 47*x^2) - 3*sqrt(2)*(60*x^14 + 135*x^10 - 191*x^6 + 27*x^2))*sqrt(-4*sqrt(3) + 8) + sqrt(6)*(2*sqrt(3)*sqrt(2)*(120*x^16 + 150*x^12 - 653*x^8 + 381*x^4 + 1) - 3*sqrt(2)*(105*x^16 + 240*x^12 - 353*x^8 + 10*x^4 - 1))*sqrt(-4*sqrt(3) + 8) + 24*(240*x^13 + 435*x^9 - 883*x^5 - 2*sqrt(3)*(60*x^13 + 135*x^9 - 135*x^5 - x) + 3*x)*(x^4 - 1)^(3/4) + 24*(210*x^15 + 360*x^11 - 752*x^7 + 178*x^3 - sqrt(3)*(105*x^15 + 240*x^11 - 240*x^7 - 103*x^3))*(x^4 - 1)^(1/4))*sqrt((42*x^8 - 42*x^4 + sqrt(6)*(3*sqrt(2)*x^5 - sqrt(3)*sqrt(2)*(2*x^5 - x))*(x^4 - 1)^(3/4)*sqrt(-4*sqrt(3) + 8) - sqrt(6)*(x^4 - 1)^(1/4)*(sqrt(3)*sqrt(2)*(2*x^7 - x^3) - 3*sqrt(2)*(x^7 - x^3))*sqrt(-4*sqrt(3) + 8) - 24*sqrt(3)*(x^8 - x^4) + 12*(4*x^6 - 2*x^2 - sqrt(3)*(2*x^6 - x^2))*sqrt(x^4 - 1) + 6)/(x^8 - x^4 + 1)) - 36*sqrt(3)*(105*x^16 - 210*x^12 + 435*x^8 - 330*x^4 + 1) + 144*(60*x^14 - 90*x^10 - 22*x^6 + 26*x^2 - 15*sqrt(3)*(2*x^14 - 3*x^10 + 3*x^6 - x^2))*sqrt(x^4 - 1) - 72)/(225*x^16 - 450*x^12 - 2685*x^8 + 2910*x^4 + 1)) - 20*sqrt(6)*sqrt(2)*x^5*sqrt(-4*sqrt(3) + 8)*arctan(-1/36*(7560*x^16 - 15120*x^12 + 15048*x^8 - 7488*x^4 - 12*sqrt(6)*(x^4 - 1)^(3/4)*(sqrt(3)*sqrt(2)*(30*x^13 + 75*x^9 - 467*x^5 - 7*x) + 3*sqrt(2)*(15*x^13 - 75*x^9 - 149*x^5 - 4*x))*sqrt(-4*sqrt(3) + 8) + 12*sqrt(6)*(x^4 - 1)^(1/4)*(sqrt(3)*sqrt(2)*(30*x^15 - 165*x^11 - 227*x^7 + 369*x^3) + 3*sqrt(2)*(15*x^15 + 30*x^11 - 254*x^7 + 213*x^3))*sqrt(-4*sqrt(3) + 8) - sqrt(6)*(2*sqrt(6)*sqrt(x^4 - 1)*(sqrt(3)*sqrt(2)*(105*x^14 + 240*x^10 - 352*x^6 - 47*x^2) - 3*sqrt(2)*(60*x^14 + 135*x^10 - 191*x^6 + 27*x^2))*sqrt(-4*sqrt(3) + 8) + sqrt(6)*(2*sqrt(3)*sqrt(2)*(120*x^16 + 150*x^12 - 653*x^8 + 381*x^4 + 1) - 3*sqrt(2)*(105*x^16 + 240*x^12 - 353*x^8 + 10*x^4 - 1))*sqrt(-4*sqrt(3) + 8) - 24*(240*x^13 + 435*x^9 - 883*x^5 - 2*sqrt(3)*(60*x^13 + 135*x^9 - 135*x^5 - x) + 3*x)*(x^4 - 1)^(3/4) - 24*(210*x^15 + 360*x^11 - 752*x^7 + 178*x^3 - sqrt(3)*(105*x^15 + 240*x^11 - 240*x^7 - 103*x^3))*(x^4 - 1)^(1/4))*sqrt((42*x^8 - 42*x^4 - sqrt(6)*(3*sqrt(2)*x^5 - sqrt(3)*sqrt(2)*(2*x^5 - x))*(x^4 - 1)^(3/4)*sqrt(-4*sqrt(3) + 8) + sqrt(6)*(x^4 - 1)^(1/4)*(sqrt(3)*sqrt(2)*(2*x^7 - x^3) - 3*sqrt(2)*(x^7 - x^3))*sqrt(-4*sqrt(3) + 8) - 24*sqrt(3)*(x^8 - x^4) + 12*(4*x^6 - 2*x^2 - sqrt(3)*(2*x^6 - x^2))*sqrt(x^4 - 1) + 6)/(x^8 - x^4 + 1)) - 36*sqrt(3)*(105*x^16 - 210*x^12 + 435*x^8 - 330*x^4 + 1) + 144*(60*x^14 - 90*x^10 - 22*x^6 + 26*x^2 - 15*sqrt(3)*(2*x^14 - 3*x^10 + 3*x^6 - x^2))*sqrt(x^4 - 1) - 72)/(225*x^16 - 450*x^12 - 2685*x^8 + 2910*x^4 + 1)) + 40*sqrt(6)*sqrt(2)*x^5*sqrt(sqrt(3) + 2)*arctan(-1/9*(1890*x^16 - 3780*x^12 + 3762*x^8 - 1872*x^4 + sqrt(3)*(12*(240*x^13 + 435*x^9 - 883*x^5 + 2*sqrt(3)*(60*x^13 + 135*x^9 - 135*x^5 - x) + 3*x)*(x^4 - 1)^(3/4) - (2*sqrt(6)*sqrt(x^4 - 1)*(sqrt(3)*sqrt(2)*(105*x^14 + 240*x^10 - 352*x^6 - 47*x^2) + 3*sqrt(2)*(60*x^14 + 135*x^10 - 191*x^6 + 27*x^2)) + sqrt(6)*(2*sqrt(3)*sqrt(2)*(120*x^16 + 150*x^12 - 653*x^8 + 381*x^4 + 1) + 3*sqrt(2)*(105*x^16 + 240*x^12 - 353*x^8 + 10*x^4 - 1)))*sqrt(sqrt(3) + 2) + 12*(210*x^15 + 360*x^11 - 752*x^7 + 178*x^3 + sqrt(3)*(105*x^15 + 240*x^11 - 240*x^7 - 103*x^3))*(x^4 - 1)^(1/4))*sqrt((21*x^8 - 21*x^4 + 12*sqrt(3)*(x^8 - x^4) + 6*(4*x^6 - 2*x^2 + sqrt(3)*(2*x^6 - x^2))*sqrt(x^4 - 1) + (sqrt(6)*(3*sqrt(2)*x^5 + sqrt(3)*sqrt(2)*(2*x^5 - x))*(x^4 - 1)^(3/4) + sqrt(6)*(x^4 - 1)^(1/4)*(sqrt(3)*sqrt(2)*(2*x^7 - x^3) + 3*sqrt(2)*(x^7 - x^3)))*sqrt(sqrt(3) + 2) + 3)/(x^8 - x^4 + 1)) + 9*sqrt(3)*(105*x^16 - 210*x^12 + 435*x^8 - 330*x^4 + 1) + 36*(60*x^14 - 90*x^10 - 22*x^6 + 26*x^2 + 15*sqrt(3)*(2*x^14 - 3*x^10 + 3*x^6 - x^2))*sqrt(x^4 - 1) - 6*(sqrt(6)*(x^4 - 1)^(3/4)*(sqrt(3)*sqrt(2)*(30*x^13 + 75*x^9 - 467*x^5 - 7*x) - 3*sqrt(2)*(15*x^13 - 75*x^9 - 149*x^5 - 4*x)) - sqrt(6)*(x^4 - 1)^(1/4)*(sqrt(3)*sqrt(2)*(30*x^15 - 165*x^11 - 227*x^7 + 369*x^3) - 3*sqrt(2)*(15*x^15 + 30*x^11 - 254*x^7 + 213*x^3)))*sqrt(sqrt(3) + 2) - 18)/(225*x^16 - 450*x^12 - 2685*x^8 + 2910*x^4 + 1)) + 40*sqrt(6)*sqrt(2)*x^5*sqrt(sqrt(3) + 2)*arctan(1/9*(1890*x^16 - 3780*x^12 + 3762*x^8 - 1872*x^4 + sqrt(3)*(12*(240*x^13 + 435*x^9 - 883*x^5 + 2*sqrt(3)*(60*x^13 + 135*x^9 - 135*x^5 - x) + 3*x)*(x^4 - 1)^(3/4) + (2*sqrt(6)*sqrt(x^4 - 1)*(sqrt(3)*sqrt(2)*(105*x^14 + 240*x^10 - 352*x^6 - 47*x^2) + 3*sqrt(2)*(60*x^14 + 135*x^10 - 191*x^6 + 27*x^2)) + sqrt(6)*(2*sqrt(3)*sqrt(2)*(120*x^16 + 150*x^12 - 653*x^8 + 381*x^4 + 1) + 3*sqrt(2)*(105*x^16 + 240*x^12 - 353*x^8 + 10*x^4 - 1)))*sqrt(sqrt(3) + 2) + 12*(210*x^15 + 360*x^11 - 752*x^7 + 178*x^3 + sqrt(3)*(105*x^15 + 240*x^11 - 240*x^7 - 103*x^3))*(x^4 - 1)^(1/4))*sqrt((21*x^8 - 21*x^4 + 12*sqrt(3)*(x^8 - x^4) + 6*(4*x^6 - 2*x^2 + sqrt(3)*(2*x^6 - x^2))*sqrt(x^4 - 1) - (sqrt(6)*(3*sqrt(2)*x^5 + sqrt(3)*sqrt(2)*(2*x^5 - x))*(x^4 - 1)^(3/4) + sqrt(6)*(x^4 - 1)^(1/4)*(sqrt(3)*sqrt(2)*(2*x^7 - x^3) + 3*sqrt(2)*(x^7 - x^3)))*sqrt(sqrt(3) + 2) + 3)/(x^8 - x^4 + 1)) + 9*sqrt(3)*(105*x^16 - 210*x^12 + 435*x^8 - 330*x^4 + 1) + 36*(60*x^14 - 90*x^10 - 22*x^6 + 26*x^2 + 15*sqrt(3)*(2*x^14 - 3*x^10 + 3*x^6 - x^2))*sqrt(x^4 - 1) + 6*(sqrt(6)*(x^4 - 1)^(3/4)*(sqrt(3)*sqrt(2)*(30*x^13 + 75*x^9 - 467*x^5 - 7*x) - 3*sqrt(2)*(15*x^13 - 75*x^9 - 149*x^5 - 4*x)) - sqrt(6)*(x^4 - 1)^(1/4)*(sqrt(3)*sqrt(2)*(30*x^15 - 165*x^11 - 227*x^7 + 369*x^3) - 3*sqrt(2)*(15*x^15 + 30*x^11 - 254*x^7 + 213*x^3)))*sqrt(sqrt(3) + 2) - 18)/(225*x^16 - 450*x^12 - 2685*x^8 + 2910*x^4 + 1)) + 5*sqrt(6)*(sqrt(3)*sqrt(2)*x^5 + 2*sqrt(2)*x^5)*sqrt(-4*sqrt(3) + 8)*log(216*(42*x^8 - 42*x^4 + sqrt(6)*(3*sqrt(2)*x^5 - sqrt(3)*sqrt(2)*(2*x^5 - x))*(x^4 - 1)^(3/4)*sqrt(-4*sqrt(3) + 8) - sqrt(6)*(x^4 - 1)^(1/4)*(sqrt(3)*sqrt(2)*(2*x^7 - x^3) - 3*sqrt(2)*(x^7 - x^3))*sqrt(-4*sqrt(3) + 8) - 24*sqrt(3)*(x^8 - x^4) + 12*(4*x^6 - 2*x^2 - sqrt(3)*(2*x^6 - x^2))*sqrt(x^4 - 1) + 6)/(x^8 - x^4 + 1)) - 5*sqrt(6)*(sqrt(3)*sqrt(2)*x^5 + 2*sqrt(2)*x^5)*sqrt(-4*sqrt(3) + 8)*log(216*(42*x^8 - 42*x^4 - sqrt(6)*(3*sqrt(2)*x^5 - sqrt(3)*sqrt(2)*(2*x^5 - x))*(x^4 - 1)^(3/4)*sqrt(-4*sqrt(3) + 8) + sqrt(6)*(x^4 - 1)^(1/4)*(sqrt(3)*sqrt(2)*(2*x^7 - x^3) - 3*sqrt(2)*(x^7 - x^3))*sqrt(-4*sqrt(3) + 8) - 24*sqrt(3)*(x^8 - x^4) + 12*(4*x^6 - 2*x^2 - sqrt(3)*(2*x^6 - x^2))*sqrt(x^4 - 1) + 6)/(x^8 - x^4 + 1)) - 10*sqrt(6)*(sqrt(3)*sqrt(2)*x^5 - 2*sqrt(2)*x^5)*sqrt(sqrt(3) + 2)*log(432*(21*x^8 - 21*x^4 + 12*sqrt(3)*(x^8 - x^4) + 6*(4*x^6 - 2*x^2 + sqrt(3)*(2*x^6 - x^2))*sqrt(x^4 - 1) + (sqrt(6)*(3*sqrt(2)*x^5 + sqrt(3)*sqrt(2)*(2*x^5 - x))*(x^4 - 1)^(3/4) + sqrt(6)*(x^4 - 1)^(1/4)*(sqrt(3)*sqrt(2)*(2*x^7 - x^3) + 3*sqrt(2)*(x^7 - x^3)))*sqrt(sqrt(3) + 2) + 3)/(x^8 - x^4 + 1)) + 10*sqrt(6)*(sqrt(3)*sqrt(2)*x^5 - 2*sqrt(2)*x^5)*sqrt(sqrt(3) + 2)*log(432*(21*x^8 - 21*x^4 + 12*sqrt(3)*(x^8 - x^4) + 6*(4*x^6 - 2*x^2 + sqrt(3)*(2*x^6 - x^2))*sqrt(x^4 - 1) - (sqrt(6)*(3*sqrt(2)*x^5 + sqrt(3)*sqrt(2)*(2*x^5 - x))*(x^4 - 1)^(3/4) + sqrt(6)*(x^4 - 1)^(1/4)*(sqrt(3)*sqrt(2)*(2*x^7 - x^3) + 3*sqrt(2)*(x^7 - x^3)))*sqrt(sqrt(3) + 2) + 3)/(x^8 - x^4 + 1)) + 64*(x^4 - 1)^(5/4))/x^5","B",0
1071,-1,0,0,0.000000," ","integrate((-2*a*b+(a+b)*x)/(x^2*(-a+x)*(-b+x))^(1/4)/(a*b*d-(a+b)*d*x+(-1+d)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1072,1,63,0,0.525382," ","integrate((x^3+1)^(1/3)/x,x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) + {\left(x^{3} + 1\right)}^{\frac{1}{3}} - \frac{1}{6} \, \log\left({\left(x^{3} + 1\right)}^{\frac{2}{3}} + {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{3} \, \log\left({\left(x^{3} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"-1/3*sqrt(3)*arctan(2/3*sqrt(3)*(x^3 + 1)^(1/3) + 1/3*sqrt(3)) + (x^3 + 1)^(1/3) - 1/6*log((x^3 + 1)^(2/3) + (x^3 + 1)^(1/3) + 1) + 1/3*log((x^3 + 1)^(1/3) - 1)","A",0
1073,-1,0,0,0.000000," ","integrate((3*a*b-2*(a+b)*x+x^2)/(x*(-a+x)*(-b+x))^(1/4)/(-a*b*d+(a+b)*d*x-d*x^2+x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1074,-1,0,0,0.000000," ","integrate(1/(a^3*x^3-b)/(a^3*x^3-b*x^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1075,-1,0,0,0.000000," ","integrate(1/(a^3*x^3-b)/(a^3*x^3-b*x^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1076,-1,0,0,0.000000," ","integrate((-2*a*b*x^2+(a+b)*x^3)/(x^2*(-a+x)*(-b+x))^(3/4)/(-a*b+(a+b)*x+(-1+d)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1077,1,149,0,0.628041," ","integrate((x^4-1)^(3/4)/(x^4+1),x, algorithm=""fricas"")","-2^{\frac{3}{4}} \arctan\left(\frac{2^{\frac{3}{4}} x \sqrt{\frac{\sqrt{2} x^{2} + \sqrt{x^{4} - 1}}{x^{2}}} - 2^{\frac{3}{4}} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{2 \, x}\right) - \frac{1}{4} \cdot 2^{\frac{3}{4}} \log\left(\frac{2^{\frac{1}{4}} x + {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{4} \cdot 2^{\frac{3}{4}} \log\left(-\frac{2^{\frac{1}{4}} x - {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \arctan\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{4} \, \log\left(\frac{x + {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{4} \, \log\left(-\frac{x - {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-2^(3/4)*arctan(1/2*(2^(3/4)*x*sqrt((sqrt(2)*x^2 + sqrt(x^4 - 1))/x^2) - 2^(3/4)*(x^4 - 1)^(1/4))/x) - 1/4*2^(3/4)*log((2^(1/4)*x + (x^4 - 1)^(1/4))/x) + 1/4*2^(3/4)*log(-(2^(1/4)*x - (x^4 - 1)^(1/4))/x) - 1/2*arctan((x^4 - 1)^(1/4)/x) + 1/4*log((x + (x^4 - 1)^(1/4))/x) - 1/4*log(-(x - (x^4 - 1)^(1/4))/x)","B",0
1078,1,273,0,2.029157," ","integrate((x^4-x^2)^(1/4)/x^4/(x^4-1),x, algorithm=""fricas"")","\frac{20 \cdot 8^{\frac{3}{4}} x^{3} \arctan\left(\frac{16 \cdot 8^{\frac{1}{4}} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(8^{\frac{3}{4}} {\left(3 \, x^{3} - x\right)} + 8 \cdot 8^{\frac{1}{4}} \sqrt{x^{4} - x^{2}} x\right)} + 4 \cdot 8^{\frac{3}{4}} {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{8 \, {\left(x^{3} + x\right)}}\right) + 5 \cdot 8^{\frac{3}{4}} x^{3} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} + 8^{\frac{3}{4}} \sqrt{x^{4} - x^{2}} x + 8^{\frac{1}{4}} {\left(3 \, x^{3} - x\right)} + 4 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{x^{3} + x}\right) - 5 \cdot 8^{\frac{3}{4}} x^{3} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} - 8^{\frac{3}{4}} \sqrt{x^{4} - x^{2}} x - 8^{\frac{1}{4}} {\left(3 \, x^{3} - x\right)} + 4 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{x^{3} + x}\right) - 64 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} {\left(x^{2} - 1\right)}}{160 \, x^{3}}"," ",0,"1/160*(20*8^(3/4)*x^3*arctan(1/8*(16*8^(1/4)*(x^4 - x^2)^(1/4)*x^2 + 2^(3/4)*(8^(3/4)*(3*x^3 - x) + 8*8^(1/4)*sqrt(x^4 - x^2)*x) + 4*8^(3/4)*(x^4 - x^2)^(3/4))/(x^3 + x)) + 5*8^(3/4)*x^3*log((4*sqrt(2)*(x^4 - x^2)^(1/4)*x^2 + 8^(3/4)*sqrt(x^4 - x^2)*x + 8^(1/4)*(3*x^3 - x) + 4*(x^4 - x^2)^(3/4))/(x^3 + x)) - 5*8^(3/4)*x^3*log((4*sqrt(2)*(x^4 - x^2)^(1/4)*x^2 - 8^(3/4)*sqrt(x^4 - x^2)*x - 8^(1/4)*(3*x^3 - x) + 4*(x^4 - x^2)^(3/4))/(x^3 + x)) - 64*(x^4 - x^2)^(1/4)*(x^2 - 1))/x^3","B",0
1079,-2,0,0,0.000000," ","integrate((-x^2+1)^2/(x^2+1)/(x^4+6*x^2+1)^(3/4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
1080,1,382,0,8.124960," ","integrate(1/(1+x)/(x^4+6*x^2+1)^(1/4),x, algorithm=""fricas"")","-\frac{1}{16} \cdot 8^{\frac{3}{4}} \arctan\left(-\frac{8^{\frac{3}{4}} {\left(x^{4} + 6 \, x^{2} + 1\right)}^{\frac{1}{4}} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)} + 4 \cdot 8^{\frac{1}{4}} {\left(x^{4} + 6 \, x^{2} + 1\right)}^{\frac{3}{4}} {\left(x - 1\right)} - 2^{\frac{1}{4}} {\left(8^{\frac{3}{4}} \sqrt{x^{4} + 6 \, x^{2} + 1} {\left(x^{2} - 2 \, x + 1\right)} + 8^{\frac{1}{4}} {\left(3 \, x^{4} - 4 \, x^{3} + 18 \, x^{2} - 4 \, x + 3\right)}\right)}}{2 \, {\left(x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1\right)}}\right) + \frac{1}{64} \cdot 8^{\frac{3}{4}} \log\left(\frac{8^{\frac{3}{4}} {\left(3 \, x^{4} - 4 \, x^{3} + 18 \, x^{2} - 4 \, x + 3\right)} + 8 \, \sqrt{2} {\left(x^{4} + 6 \, x^{2} + 1\right)}^{\frac{1}{4}} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)} + 8 \cdot 8^{\frac{1}{4}} \sqrt{x^{4} + 6 \, x^{2} + 1} {\left(x^{2} - 2 \, x + 1\right)} + 16 \, {\left(x^{4} + 6 \, x^{2} + 1\right)}^{\frac{3}{4}} {\left(x - 1\right)}}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right) - \frac{1}{64} \cdot 8^{\frac{3}{4}} \log\left(-\frac{8^{\frac{3}{4}} {\left(3 \, x^{4} - 4 \, x^{3} + 18 \, x^{2} - 4 \, x + 3\right)} - 8 \, \sqrt{2} {\left(x^{4} + 6 \, x^{2} + 1\right)}^{\frac{1}{4}} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)} + 8 \cdot 8^{\frac{1}{4}} \sqrt{x^{4} + 6 \, x^{2} + 1} {\left(x^{2} - 2 \, x + 1\right)} - 16 \, {\left(x^{4} + 6 \, x^{2} + 1\right)}^{\frac{3}{4}} {\left(x - 1\right)}}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right)"," ",0,"-1/16*8^(3/4)*arctan(-1/2*(8^(3/4)*(x^4 + 6*x^2 + 1)^(1/4)*(x^3 - 3*x^2 + 3*x - 1) + 4*8^(1/4)*(x^4 + 6*x^2 + 1)^(3/4)*(x - 1) - 2^(1/4)*(8^(3/4)*sqrt(x^4 + 6*x^2 + 1)*(x^2 - 2*x + 1) + 8^(1/4)*(3*x^4 - 4*x^3 + 18*x^2 - 4*x + 3)))/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1)) + 1/64*8^(3/4)*log((8^(3/4)*(3*x^4 - 4*x^3 + 18*x^2 - 4*x + 3) + 8*sqrt(2)*(x^4 + 6*x^2 + 1)^(1/4)*(x^3 - 3*x^2 + 3*x - 1) + 8*8^(1/4)*sqrt(x^4 + 6*x^2 + 1)*(x^2 - 2*x + 1) + 16*(x^4 + 6*x^2 + 1)^(3/4)*(x - 1))/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1)) - 1/64*8^(3/4)*log(-(8^(3/4)*(3*x^4 - 4*x^3 + 18*x^2 - 4*x + 3) - 8*sqrt(2)*(x^4 + 6*x^2 + 1)^(1/4)*(x^3 - 3*x^2 + 3*x - 1) + 8*8^(1/4)*sqrt(x^4 + 6*x^2 + 1)*(x^2 - 2*x + 1) - 16*(x^4 + 6*x^2 + 1)^(3/4)*(x - 1))/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1))","B",0
1081,1,79,0,0.500524," ","integrate((1+x)/(x^4-12*x^3+14*x^2+4*x-7)^(1/2),x, algorithm=""fricas"")","\arctan\left(-\frac{x^{2} - 2 \, x - \sqrt{x^{4} - 12 \, x^{3} + 14 \, x^{2} + 4 \, x - 7} + 1}{4 \, {\left(x - 1\right)}}\right) - \log\left(-\frac{x^{2} - 6 \, x - \sqrt{x^{4} - 12 \, x^{3} + 14 \, x^{2} + 4 \, x - 7} + 5}{x - 1}\right)"," ",0,"arctan(-1/4*(x^2 - 2*x - sqrt(x^4 - 12*x^3 + 14*x^2 + 4*x - 7) + 1)/(x - 1)) - log(-(x^2 - 6*x - sqrt(x^4 - 12*x^3 + 14*x^2 + 4*x - 7) + 5)/(x - 1))","A",0
1082,1,112,0,2.408897," ","integrate((x^4+3)/(x^4-1)^(1/3)/(x^4-8*x^3-1),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{3} \arctan\left(-\frac{8 \, \sqrt{3} {\left(x^{4} - 1\right)}^{\frac{1}{3}} x^{2} - 4 \, \sqrt{3} {\left(x^{4} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(x^{4} - 8 \, x^{3} - 1\right)}}{3 \, {\left(x^{4} + 8 \, x^{3} - 1\right)}}\right) + \frac{1}{4} \, \log\left(\frac{x^{4} - 8 \, x^{3} + 12 \, {\left(x^{4} - 1\right)}^{\frac{1}{3}} x^{2} - 6 \, {\left(x^{4} - 1\right)}^{\frac{2}{3}} x - 1}{x^{4} - 8 \, x^{3} - 1}\right)"," ",0,"-1/2*sqrt(3)*arctan(-1/3*(8*sqrt(3)*(x^4 - 1)^(1/3)*x^2 - 4*sqrt(3)*(x^4 - 1)^(2/3)*x + sqrt(3)*(x^4 - 8*x^3 - 1))/(x^4 + 8*x^3 - 1)) + 1/4*log((x^4 - 8*x^3 + 12*(x^4 - 1)^(1/3)*x^2 - 6*(x^4 - 1)^(2/3)*x - 1)/(x^4 - 8*x^3 - 1))","A",0
1083,1,132,0,0.530206," ","integrate((-3+2*x)*(3*x^4+2*x^2-2*x)^(1/2)/(x^3+2*x-2)^2,x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(x^{3} + 2 \, x - 2\right)} \log\left(-\frac{49 \, x^{6} + 36 \, x^{4} - 36 \, x^{3} + 4 \, \sqrt{2} {\left(5 \, x^{4} + 2 \, x^{2} - 2 \, x\right)} \sqrt{3 \, x^{4} + 2 \, x^{2} - 2 \, x} + 4 \, x^{2} - 8 \, x + 4}{x^{6} + 4 \, x^{4} - 4 \, x^{3} + 4 \, x^{2} - 8 \, x + 4}\right) + 8 \, \sqrt{3 \, x^{4} + 2 \, x^{2} - 2 \, x} x}{16 \, {\left(x^{3} + 2 \, x - 2\right)}}"," ",0,"1/16*(sqrt(2)*(x^3 + 2*x - 2)*log(-(49*x^6 + 36*x^4 - 36*x^3 + 4*sqrt(2)*(5*x^4 + 2*x^2 - 2*x)*sqrt(3*x^4 + 2*x^2 - 2*x) + 4*x^2 - 8*x + 4)/(x^6 + 4*x^4 - 4*x^3 + 4*x^2 - 8*x + 4)) + 8*sqrt(3*x^4 + 2*x^2 - 2*x)*x)/(x^3 + 2*x - 2)","A",0
1084,-1,0,0,0.000000," ","integrate((a*x^4-2*b)/x^4/(a*x^4-b)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1085,1,202,0,0.528449," ","integrate((a*x^4-b)^(3/4),x, algorithm=""fricas"")","\frac{1}{4} \, {\left(a x^{4} - b\right)}^{\frac{3}{4}} x - \frac{3}{4} \, \left(\frac{b^{4}}{a}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}} \left(\frac{b^{4}}{a}\right)^{\frac{1}{4}} b^{3} - \left(\frac{b^{4}}{a}\right)^{\frac{1}{4}} x \sqrt{\frac{\sqrt{\frac{b^{4}}{a}} a b^{4} x^{2} + \sqrt{a x^{4} - b} b^{6}}{x^{2}}}}{b^{4} x}\right) - \frac{3}{16} \, \left(\frac{b^{4}}{a}\right)^{\frac{1}{4}} \log\left(\frac{27 \, {\left({\left(a x^{4} - b\right)}^{\frac{1}{4}} b^{3} + \left(\frac{b^{4}}{a}\right)^{\frac{3}{4}} a x\right)}}{x}\right) + \frac{3}{16} \, \left(\frac{b^{4}}{a}\right)^{\frac{1}{4}} \log\left(\frac{27 \, {\left({\left(a x^{4} - b\right)}^{\frac{1}{4}} b^{3} - \left(\frac{b^{4}}{a}\right)^{\frac{3}{4}} a x\right)}}{x}\right)"," ",0,"1/4*(a*x^4 - b)^(3/4)*x - 3/4*(b^4/a)^(1/4)*arctan(-((a*x^4 - b)^(1/4)*(b^4/a)^(1/4)*b^3 - (b^4/a)^(1/4)*x*sqrt((sqrt(b^4/a)*a*b^4*x^2 + sqrt(a*x^4 - b)*b^6)/x^2))/(b^4*x)) - 3/16*(b^4/a)^(1/4)*log(27*((a*x^4 - b)^(1/4)*b^3 + (b^4/a)^(3/4)*a*x)/x) + 3/16*(b^4/a)^(1/4)*log(27*((a*x^4 - b)^(1/4)*b^3 - (b^4/a)^(3/4)*a*x)/x)","B",0
1086,-1,0,0,0.000000," ","integrate((a*x^4-b)^(3/4)/x^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1087,-1,0,0,0.000000," ","integrate(1/(a*x^3-b*x^2)^(1/3)/(a*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1088,-1,0,0,0.000000," ","integrate(1/(a*x^3-b*x^2)^(1/3)/(a*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1089,1,148,0,0.460904," ","integrate((a*x^4+b*x^3)^(1/4)/x^2,x, algorithm=""fricas"")","-\frac{4 \, a^{\frac{1}{4}} x \arctan\left(\frac{a^{\frac{3}{4}} x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} + b x^{3}}}{x^{2}}} - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} a^{\frac{3}{4}}}{a x}\right) - a^{\frac{1}{4}} x \log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + a^{\frac{1}{4}} x \log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 4 \, {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}"," ",0,"-(4*a^(1/4)*x*arctan((a^(3/4)*x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 + b*x^3))/x^2) - (a*x^4 + b*x^3)^(1/4)*a^(3/4))/(a*x)) - a^(1/4)*x*log((a^(1/4)*x + (a*x^4 + b*x^3)^(1/4))/x) + a^(1/4)*x*log(-(a^(1/4)*x - (a*x^4 + b*x^3)^(1/4))/x) + 4*(a*x^4 + b*x^3)^(1/4))/x","B",0
1090,1,196,0,50.531669," ","integrate((x^6+x^4-x^3+1)^(3/4)*(2*x^6+x^3-4)/(x^6-x^3+1)^2,x, algorithm=""fricas"")","-\frac{3 \, {\left(x^{6} - x^{3} + 1\right)} \arctan\left(\frac{2 \, {\left({\left(x^{6} + x^{4} - x^{3} + 1\right)}^{\frac{1}{4}} x^{3} + {\left(x^{6} + x^{4} - x^{3} + 1\right)}^{\frac{3}{4}} x\right)}}{x^{6} - x^{3} + 1}\right) - 3 \, {\left(x^{6} - x^{3} + 1\right)} \log\left(\frac{x^{6} + 2 \, x^{4} - 2 \, {\left(x^{6} + x^{4} - x^{3} + 1\right)}^{\frac{1}{4}} x^{3} - x^{3} + 2 \, \sqrt{x^{6} + x^{4} - x^{3} + 1} x^{2} - 2 \, {\left(x^{6} + x^{4} - x^{3} + 1\right)}^{\frac{3}{4}} x + 1}{x^{6} - x^{3} + 1}\right) + 4 \, {\left(x^{6} + x^{4} - x^{3} + 1\right)}^{\frac{3}{4}} x}{4 \, {\left(x^{6} - x^{3} + 1\right)}}"," ",0,"-1/4*(3*(x^6 - x^3 + 1)*arctan(2*((x^6 + x^4 - x^3 + 1)^(1/4)*x^3 + (x^6 + x^4 - x^3 + 1)^(3/4)*x)/(x^6 - x^3 + 1)) - 3*(x^6 - x^3 + 1)*log((x^6 + 2*x^4 - 2*(x^6 + x^4 - x^3 + 1)^(1/4)*x^3 - x^3 + 2*sqrt(x^6 + x^4 - x^3 + 1)*x^2 - 2*(x^6 + x^4 - x^3 + 1)^(3/4)*x + 1)/(x^6 - x^3 + 1)) + 4*(x^6 + x^4 - x^3 + 1)^(3/4)*x)/(x^6 - x^3 + 1)","B",0
1091,1,245,0,6.364205," ","integrate((2*x^4+1)/(x^4+1)^(1/4)/(x^8-x^4-2),x, algorithm=""fricas"")","\frac{20 \cdot 24^{\frac{3}{4}} {\left(x^{4} + 1\right)} \arctan\left(\frac{3 \cdot 24^{\frac{3}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 12 \cdot 24^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{3}{4}} x + 6^{\frac{1}{4}} \sqrt{3} {\left(24^{\frac{3}{4}} \sqrt{x^{4} + 1} x^{2} + 24^{\frac{1}{4}} {\left(5 \, x^{4} + 2\right)}\right)}}{6 \, {\left(x^{4} - 2\right)}}\right) - 5 \cdot 24^{\frac{3}{4}} {\left(x^{4} + 1\right)} \log\left(\frac{24 \, \sqrt{6} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 24 \cdot 24^{\frac{1}{4}} \sqrt{x^{4} + 1} x^{2} + 24^{\frac{3}{4}} {\left(5 \, x^{4} + 2\right)} + 48 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x}{x^{4} - 2}\right) + 5 \cdot 24^{\frac{3}{4}} {\left(x^{4} + 1\right)} \log\left(\frac{24 \, \sqrt{6} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} - 24 \cdot 24^{\frac{1}{4}} \sqrt{x^{4} + 1} x^{2} - 24^{\frac{3}{4}} {\left(5 \, x^{4} + 2\right)} + 48 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x}{x^{4} - 2}\right) + 192 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x}{576 \, {\left(x^{4} + 1\right)}}"," ",0,"1/576*(20*24^(3/4)*(x^4 + 1)*arctan(1/6*(3*24^(3/4)*(x^4 + 1)^(1/4)*x^3 + 12*24^(1/4)*(x^4 + 1)^(3/4)*x + 6^(1/4)*sqrt(3)*(24^(3/4)*sqrt(x^4 + 1)*x^2 + 24^(1/4)*(5*x^4 + 2)))/(x^4 - 2)) - 5*24^(3/4)*(x^4 + 1)*log((24*sqrt(6)*(x^4 + 1)^(1/4)*x^3 + 24*24^(1/4)*sqrt(x^4 + 1)*x^2 + 24^(3/4)*(5*x^4 + 2) + 48*(x^4 + 1)^(3/4)*x)/(x^4 - 2)) + 5*24^(3/4)*(x^4 + 1)*log((24*sqrt(6)*(x^4 + 1)^(1/4)*x^3 - 24*24^(1/4)*sqrt(x^4 + 1)*x^2 - 24^(3/4)*(5*x^4 + 2) + 48*(x^4 + 1)^(3/4)*x)/(x^4 - 2)) + 192*(x^4 + 1)^(3/4)*x)/(x^4 + 1)","B",0
1092,-1,0,0,0.000000," ","integrate(1/(a*x^4-b*x^2)^(1/4)/(a*x^8+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1093,-1,0,0,0.000000," ","integrate(1/(a*x^4-b*x^2)^(1/4)/(a*x^8+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1094,1,500,0,7.439177," ","integrate((a^4*x^4-b^4)*(a^4*x^4+b^4)^(1/2)/(a^8*x^8+b^8),x, algorithm=""fricas"")","-\frac{1}{2} \, \left(\frac{1}{2}\right)^{\frac{1}{4}} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{1}{4}} \arctan\left(\frac{2 \, {\left(2 \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{4}} a^{4} b^{4} x^{3} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{1}{4}} + \left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(a^{8} b^{4} x^{5} + a^{4} b^{8} x\right)} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{4} x^{4} + b^{4}} + {\left(\left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(a^{12} b^{4} x^{8} + 4 \, a^{8} b^{8} x^{4} + a^{4} b^{12}\right)} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{3}{4}} + 2 \, \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(a^{8} b^{4} x^{6} + a^{4} b^{8} x^{2}\right)} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{1}{4}}\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{1}{a^{4} b^{4}}}}\right)}}{a^{8} x^{8} + b^{8}}\right) - \frac{1}{8} \, \left(\frac{1}{2}\right)^{\frac{1}{4}} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{1}{4}} \log\left(-\frac{4 \, \left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(a^{8} b^{4} x^{6} + a^{4} b^{8} x^{2}\right)} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{3}{4}} + 2 \, {\left(2 \, \sqrt{\frac{1}{2}} a^{4} b^{4} x^{3} \sqrt{\frac{1}{a^{4} b^{4}}} + a^{4} x^{5} + b^{4} x\right)} \sqrt{a^{4} x^{4} + b^{4}} + \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(a^{8} x^{8} + 4 \, a^{4} b^{4} x^{4} + b^{8}\right)} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{1}{4}}}{2 \, {\left(a^{8} x^{8} + b^{8}\right)}}\right) + \frac{1}{8} \, \left(\frac{1}{2}\right)^{\frac{1}{4}} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{1}{4}} \log\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(a^{8} b^{4} x^{6} + a^{4} b^{8} x^{2}\right)} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{3}{4}} - 2 \, {\left(2 \, \sqrt{\frac{1}{2}} a^{4} b^{4} x^{3} \sqrt{\frac{1}{a^{4} b^{4}}} + a^{4} x^{5} + b^{4} x\right)} \sqrt{a^{4} x^{4} + b^{4}} + \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(a^{8} x^{8} + 4 \, a^{4} b^{4} x^{4} + b^{8}\right)} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{1}{4}}}{2 \, {\left(a^{8} x^{8} + b^{8}\right)}}\right)"," ",0,"-1/2*(1/2)^(1/4)*(1/(a^4*b^4))^(1/4)*arctan(2*(2*((1/2)^(1/4)*a^4*b^4*x^3*(1/(a^4*b^4))^(1/4) + (1/2)^(3/4)*(a^8*b^4*x^5 + a^4*b^8*x)*(1/(a^4*b^4))^(3/4))*sqrt(a^4*x^4 + b^4) + ((1/2)^(3/4)*(a^12*b^4*x^8 + 4*a^8*b^8*x^4 + a^4*b^12)*(1/(a^4*b^4))^(3/4) + 2*(1/2)^(1/4)*(a^8*b^4*x^6 + a^4*b^8*x^2)*(1/(a^4*b^4))^(1/4))*sqrt(sqrt(1/2)*sqrt(1/(a^4*b^4))))/(a^8*x^8 + b^8)) - 1/8*(1/2)^(1/4)*(1/(a^4*b^4))^(1/4)*log(-1/2*(4*(1/2)^(3/4)*(a^8*b^4*x^6 + a^4*b^8*x^2)*(1/(a^4*b^4))^(3/4) + 2*(2*sqrt(1/2)*a^4*b^4*x^3*sqrt(1/(a^4*b^4)) + a^4*x^5 + b^4*x)*sqrt(a^4*x^4 + b^4) + (1/2)^(1/4)*(a^8*x^8 + 4*a^4*b^4*x^4 + b^8)*(1/(a^4*b^4))^(1/4))/(a^8*x^8 + b^8)) + 1/8*(1/2)^(1/4)*(1/(a^4*b^4))^(1/4)*log(1/2*(4*(1/2)^(3/4)*(a^8*b^4*x^6 + a^4*b^8*x^2)*(1/(a^4*b^4))^(3/4) - 2*(2*sqrt(1/2)*a^4*b^4*x^3*sqrt(1/(a^4*b^4)) + a^4*x^5 + b^4*x)*sqrt(a^4*x^4 + b^4) + (1/2)^(1/4)*(a^8*x^8 + 4*a^4*b^4*x^4 + b^8)*(1/(a^4*b^4))^(1/4))/(a^8*x^8 + b^8))","B",0
1095,1,500,0,4.857271," ","integrate((a^8*x^8-b^8)/(a^4*x^4+b^4)^(1/2)/(a^8*x^8+b^8),x, algorithm=""fricas"")","-\frac{1}{2} \, \left(\frac{1}{2}\right)^{\frac{1}{4}} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{1}{4}} \arctan\left(\frac{2 \, {\left(2 \, {\left(\left(\frac{1}{2}\right)^{\frac{1}{4}} a^{4} b^{4} x^{3} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{1}{4}} + \left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(a^{8} b^{4} x^{5} + a^{4} b^{8} x\right)} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{4} x^{4} + b^{4}} + {\left(\left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(a^{12} b^{4} x^{8} + 4 \, a^{8} b^{8} x^{4} + a^{4} b^{12}\right)} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{3}{4}} + 2 \, \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(a^{8} b^{4} x^{6} + a^{4} b^{8} x^{2}\right)} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{1}{4}}\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{1}{a^{4} b^{4}}}}\right)}}{a^{8} x^{8} + b^{8}}\right) - \frac{1}{8} \, \left(\frac{1}{2}\right)^{\frac{1}{4}} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{1}{4}} \log\left(-\frac{4 \, \left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(a^{8} b^{4} x^{6} + a^{4} b^{8} x^{2}\right)} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{3}{4}} + 2 \, {\left(2 \, \sqrt{\frac{1}{2}} a^{4} b^{4} x^{3} \sqrt{\frac{1}{a^{4} b^{4}}} + a^{4} x^{5} + b^{4} x\right)} \sqrt{a^{4} x^{4} + b^{4}} + \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(a^{8} x^{8} + 4 \, a^{4} b^{4} x^{4} + b^{8}\right)} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{1}{4}}}{2 \, {\left(a^{8} x^{8} + b^{8}\right)}}\right) + \frac{1}{8} \, \left(\frac{1}{2}\right)^{\frac{1}{4}} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{1}{4}} \log\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(a^{8} b^{4} x^{6} + a^{4} b^{8} x^{2}\right)} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{3}{4}} - 2 \, {\left(2 \, \sqrt{\frac{1}{2}} a^{4} b^{4} x^{3} \sqrt{\frac{1}{a^{4} b^{4}}} + a^{4} x^{5} + b^{4} x\right)} \sqrt{a^{4} x^{4} + b^{4}} + \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(a^{8} x^{8} + 4 \, a^{4} b^{4} x^{4} + b^{8}\right)} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{1}{4}}}{2 \, {\left(a^{8} x^{8} + b^{8}\right)}}\right)"," ",0,"-1/2*(1/2)^(1/4)*(1/(a^4*b^4))^(1/4)*arctan(2*(2*((1/2)^(1/4)*a^4*b^4*x^3*(1/(a^4*b^4))^(1/4) + (1/2)^(3/4)*(a^8*b^4*x^5 + a^4*b^8*x)*(1/(a^4*b^4))^(3/4))*sqrt(a^4*x^4 + b^4) + ((1/2)^(3/4)*(a^12*b^4*x^8 + 4*a^8*b^8*x^4 + a^4*b^12)*(1/(a^4*b^4))^(3/4) + 2*(1/2)^(1/4)*(a^8*b^4*x^6 + a^4*b^8*x^2)*(1/(a^4*b^4))^(1/4))*sqrt(sqrt(1/2)*sqrt(1/(a^4*b^4))))/(a^8*x^8 + b^8)) - 1/8*(1/2)^(1/4)*(1/(a^4*b^4))^(1/4)*log(-1/2*(4*(1/2)^(3/4)*(a^8*b^4*x^6 + a^4*b^8*x^2)*(1/(a^4*b^4))^(3/4) + 2*(2*sqrt(1/2)*a^4*b^4*x^3*sqrt(1/(a^4*b^4)) + a^4*x^5 + b^4*x)*sqrt(a^4*x^4 + b^4) + (1/2)^(1/4)*(a^8*x^8 + 4*a^4*b^4*x^4 + b^8)*(1/(a^4*b^4))^(1/4))/(a^8*x^8 + b^8)) + 1/8*(1/2)^(1/4)*(1/(a^4*b^4))^(1/4)*log(1/2*(4*(1/2)^(3/4)*(a^8*b^4*x^6 + a^4*b^8*x^2)*(1/(a^4*b^4))^(3/4) - 2*(2*sqrt(1/2)*a^4*b^4*x^3*sqrt(1/(a^4*b^4)) + a^4*x^5 + b^4*x)*sqrt(a^4*x^4 + b^4) + (1/2)^(1/4)*(a^8*x^8 + 4*a^4*b^4*x^4 + b^8)*(1/(a^4*b^4))^(1/4))/(a^8*x^8 + b^8))","B",0
1096,-1,0,0,0.000000," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/(a*x^2+b^2)^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1097,1,135,0,1.975124," ","integrate((a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(a^2*x^4+b)^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{2} \log\left(4 \, a^{2} x^{4} + 4 \, \sqrt{a^{2} x^{4} + b} a x^{2} + 2 \, {\left(\sqrt{2} a^{\frac{3}{2}} x^{3} + \sqrt{2} \sqrt{a^{2} x^{4} + b} \sqrt{a} x\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} + b\right)}{4 \, \sqrt{a}}, -\frac{1}{2} \, \sqrt{2} \sqrt{-\frac{1}{a}} \arctan\left(\frac{\sqrt{2} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} \sqrt{-\frac{1}{a}}}{2 \, x}\right)\right]"," ",0,"[1/4*sqrt(2)*log(4*a^2*x^4 + 4*sqrt(a^2*x^4 + b)*a*x^2 + 2*(sqrt(2)*a^(3/2)*x^3 + sqrt(2)*sqrt(a^2*x^4 + b)*sqrt(a)*x)*sqrt(a*x^2 + sqrt(a^2*x^4 + b)) + b)/sqrt(a), -1/2*sqrt(2)*sqrt(-1/a)*arctan(1/2*sqrt(2)*sqrt(a*x^2 + sqrt(a^2*x^4 + b))*sqrt(-1/a)/x)]","A",0
1098,-1,0,0,0.000000," ","integrate(1/(a*x^3-b*x^2)^(1/3)/(a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1099,-1,0,0,0.000000," ","integrate(1/(a*x^3-b*x^2)^(1/3)/(a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1100,-1,0,0,0.000000," ","integrate((a*x^4-b*x^3)^(1/4)/x/(a*x^3+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1101,-1,0,0,0.000000," ","integrate((a*x^4-b*x^3)^(1/4)/x/(a*x^3+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1102,1,206,0,0.493136," ","integrate((a*x^4+b*x^3)^(1/4)/x,x, algorithm=""fricas"")","-\left(\frac{b^{4}}{a^{3}}\right)^{\frac{1}{4}} \arctan\left(\frac{a^{2} \left(\frac{b^{4}}{a^{3}}\right)^{\frac{3}{4}} x \sqrt{\frac{a^{2} \sqrt{\frac{b^{4}}{a^{3}}} x^{2} + \sqrt{a x^{4} + b x^{3}} b^{2}}{x^{2}}} - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} a^{2} b \left(\frac{b^{4}}{a^{3}}\right)^{\frac{3}{4}}}{b^{4} x}\right) + \frac{1}{4} \, \left(\frac{b^{4}}{a^{3}}\right)^{\frac{1}{4}} \log\left(\frac{a \left(\frac{b^{4}}{a^{3}}\right)^{\frac{1}{4}} x + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} b}{x}\right) - \frac{1}{4} \, \left(\frac{b^{4}}{a^{3}}\right)^{\frac{1}{4}} \log\left(-\frac{a \left(\frac{b^{4}}{a^{3}}\right)^{\frac{1}{4}} x - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} b}{x}\right) + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}"," ",0,"-(b^4/a^3)^(1/4)*arctan((a^2*(b^4/a^3)^(3/4)*x*sqrt((a^2*sqrt(b^4/a^3)*x^2 + sqrt(a*x^4 + b*x^3)*b^2)/x^2) - (a*x^4 + b*x^3)^(1/4)*a^2*b*(b^4/a^3)^(3/4))/(b^4*x)) + 1/4*(b^4/a^3)^(1/4)*log((a*(b^4/a^3)^(1/4)*x + (a*x^4 + b*x^3)^(1/4)*b)/x) - 1/4*(b^4/a^3)^(1/4)*log(-(a*(b^4/a^3)^(1/4)*x - (a*x^4 + b*x^3)^(1/4)*b)/x) + (a*x^4 + b*x^3)^(1/4)","B",0
1103,1,207,0,0.492052," ","integrate((a*x-b)*(a*x^4+b*x^3)^(1/4)/x/(a*x+b),x, algorithm=""fricas"")","7 \, \left(\frac{b^{4}}{a^{3}}\right)^{\frac{1}{4}} \arctan\left(\frac{a^{2} \left(\frac{b^{4}}{a^{3}}\right)^{\frac{3}{4}} x \sqrt{\frac{a^{2} \sqrt{\frac{b^{4}}{a^{3}}} x^{2} + \sqrt{a x^{4} + b x^{3}} b^{2}}{x^{2}}} - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} a^{2} b \left(\frac{b^{4}}{a^{3}}\right)^{\frac{3}{4}}}{b^{4} x}\right) - \frac{7}{4} \, \left(\frac{b^{4}}{a^{3}}\right)^{\frac{1}{4}} \log\left(\frac{7 \, {\left(a \left(\frac{b^{4}}{a^{3}}\right)^{\frac{1}{4}} x + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} b\right)}}{x}\right) + \frac{7}{4} \, \left(\frac{b^{4}}{a^{3}}\right)^{\frac{1}{4}} \log\left(-\frac{7 \, {\left(a \left(\frac{b^{4}}{a^{3}}\right)^{\frac{1}{4}} x - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} b\right)}}{x}\right) + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}"," ",0,"7*(b^4/a^3)^(1/4)*arctan((a^2*(b^4/a^3)^(3/4)*x*sqrt((a^2*sqrt(b^4/a^3)*x^2 + sqrt(a*x^4 + b*x^3)*b^2)/x^2) - (a*x^4 + b*x^3)^(1/4)*a^2*b*(b^4/a^3)^(3/4))/(b^4*x)) - 7/4*(b^4/a^3)^(1/4)*log(7*(a*(b^4/a^3)^(1/4)*x + (a*x^4 + b*x^3)^(1/4)*b)/x) + 7/4*(b^4/a^3)^(1/4)*log(-7*(a*(b^4/a^3)^(1/4)*x - (a*x^4 + b*x^3)^(1/4)*b)/x) + (a*x^4 + b*x^3)^(1/4)","B",0
1104,1,112,0,1.810690," ","integrate((3*x^4-1)/(x^4-x+1)/(x^6+x^2)^(1/3),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(-\frac{2 \, \sqrt{3} {\left(x^{6} + x^{2}\right)}^{\frac{1}{3}} x + \sqrt{3} {\left(x^{5} - x^{2} + x\right)} - 2 \, \sqrt{3} {\left(x^{6} + x^{2}\right)}^{\frac{2}{3}}}{3 \, {\left(x^{5} + x^{2} + x\right)}}\right) + \frac{1}{2} \, \log\left(\frac{x^{5} - x^{2} + 3 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{3}} x + x - 3 \, {\left(x^{6} + x^{2}\right)}^{\frac{2}{3}}}{x^{5} - x^{2} + x}\right)"," ",0,"-sqrt(3)*arctan(-1/3*(2*sqrt(3)*(x^6 + x^2)^(1/3)*x + sqrt(3)*(x^5 - x^2 + x) - 2*sqrt(3)*(x^6 + x^2)^(2/3))/(x^5 + x^2 + x)) + 1/2*log((x^5 - x^2 + 3*(x^6 + x^2)^(1/3)*x + x - 3*(x^6 + x^2)^(2/3))/(x^5 - x^2 + x))","A",0
1105,-1,0,0,0.000000," ","integrate(1/(a*x^4-b*x^2)^(1/4)/(a*x^8-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1106,-1,0,0,0.000000," ","integrate(1/(a*x^4-b*x^2)^(1/4)/(a*x^8-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1107,-1,0,0,0.000000," ","integrate((a*x^8-b)/x^2/(a*x^4+b)^(3/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1108,1,142,0,0.622280," ","integrate(x^5*(5*a*x^2-4*b)/(a*x^2-b)^(1/4)/(a*x^10-b*x^8+b),x, algorithm=""fricas"")","-2 \, \left(-\frac{1}{b}\right)^{\frac{1}{4}} \arctan\left(-{\left(a x^{2} - b\right)}^{\frac{1}{4}} x^{2} \left(-\frac{1}{b}\right)^{\frac{1}{4}} + \sqrt{\sqrt{a x^{2} - b} x^{4} - b \sqrt{-\frac{1}{b}}} \left(-\frac{1}{b}\right)^{\frac{1}{4}}\right) + \frac{1}{2} \, \left(-\frac{1}{b}\right)^{\frac{1}{4}} \log\left({\left(a x^{2} - b\right)}^{\frac{1}{4}} x^{2} + b \left(-\frac{1}{b}\right)^{\frac{3}{4}}\right) - \frac{1}{2} \, \left(-\frac{1}{b}\right)^{\frac{1}{4}} \log\left({\left(a x^{2} - b\right)}^{\frac{1}{4}} x^{2} - b \left(-\frac{1}{b}\right)^{\frac{3}{4}}\right)"," ",0,"-2*(-1/b)^(1/4)*arctan(-(a*x^2 - b)^(1/4)*x^2*(-1/b)^(1/4) + sqrt(sqrt(a*x^2 - b)*x^4 - b*sqrt(-1/b))*(-1/b)^(1/4)) + 1/2*(-1/b)^(1/4)*log((a*x^2 - b)^(1/4)*x^2 + b*(-1/b)^(3/4)) - 1/2*(-1/b)^(1/4)*log((a*x^2 - b)^(1/4)*x^2 - b*(-1/b)^(3/4))","B",0
1109,1,84,0,0.431843," ","integrate(1/(x^3+x^2)^(1/3),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) - \log\left(-\frac{x - {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, \log\left(\frac{x^{2} + {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + x^2)^(1/3))/x) - log(-(x - (x^3 + x^2)^(1/3))/x) + 1/2*log((x^2 + (x^3 + x^2)^(1/3)*x + (x^3 + x^2)^(2/3))/x^2)","A",0
1110,-1,0,0,0.000000," ","integrate((a-3*b+2*x)/((-a+x)*(-b+x))^(1/4)/(-a^3+b*d-(-3*a^2+d)*x-3*a*x^2+x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1111,-1,0,0,0.000000," ","integrate((a-3*b+2*x)*(a^2-2*a*x+x^2)/((-a+x)*(-b+x))^(3/4)/(-b+a^3*d+(-3*a^2*d+1)*x+3*a*d*x^2-d*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1112,-1,0,0,0.000000," ","integrate((-1-2*(-1+k)*x+k*x^2)/((1-x)*x*(-k*x+1))^(1/4)/(-1+(d+3*k)*x-(3*k^2+d)*x^2+k^3*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1113,1,79,0,0.499198," ","integrate((x^4+6*x^2+1)^(1/2)/x/(x^2+1),x, algorithm=""fricas"")","2 \, \arctan\left(-\frac{1}{2} \, x^{2} + \frac{1}{2} \, \sqrt{x^{4} + 6 \, x^{2} + 1} - \frac{1}{2}\right) - \frac{1}{2} \, \log\left(x^{4} + 4 \, x^{2} - \sqrt{x^{4} + 6 \, x^{2} + 1} {\left(x^{2} + 1\right)} - 1\right) + \frac{1}{2} \, \log\left(-x^{2} + \sqrt{x^{4} + 6 \, x^{2} + 1} - 1\right)"," ",0,"2*arctan(-1/2*x^2 + 1/2*sqrt(x^4 + 6*x^2 + 1) - 1/2) - 1/2*log(x^4 + 4*x^2 - sqrt(x^4 + 6*x^2 + 1)*(x^2 + 1) - 1) + 1/2*log(-x^2 + sqrt(x^4 + 6*x^2 + 1) - 1)","A",0
1114,-2,0,0,0.000000," ","integrate((x^2-1)*(2*x^4+2*x^2-1)^(1/4)/x^2/(2*x^2-1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
1115,-1,0,0,0.000000," ","integrate(1/(a*x^4+b)^(1/4)/(a*x^4+2*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1116,-1,0,0,0.000000," ","integrate((a*x^4-b*x^2)^(1/4)/x^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1117,-1,0,0,0.000000," ","integrate(1/(a*x^4-b*x^2)^(1/4)/(b*x^8+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1118,-1,0,0,0.000000," ","integrate(1/(a*x^4-b*x^2)^(1/4)/(b*x^8+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1119,1,64,0,1.793498," ","integrate((-1+x)*(x+(1+x)^(1/2))^(1/2)/(1+x)^(1/2),x, algorithm=""fricas"")","\frac{1}{96} \, {\left(2 \, {\left(24 \, x - 89\right)} \sqrt{x + 1} + 8 \, x - 21\right)} \sqrt{x + \sqrt{x + 1}} + \frac{115}{128} \, \log\left(4 \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} + 1\right)} + 8 \, x + 8 \, \sqrt{x + 1} + 5\right)"," ",0,"1/96*(2*(24*x - 89)*sqrt(x + 1) + 8*x - 21)*sqrt(x + sqrt(x + 1)) + 115/128*log(4*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) + 1) + 8*x + 8*sqrt(x + 1) + 5)","A",0
1120,1,64,0,1.190156," ","integrate(x*(x+(1+x)^(1/2))^(1/2)/(1+x)^(1/2),x, algorithm=""fricas"")","\frac{1}{96} \, {\left(2 \, {\left(24 \, x - 41\right)} \sqrt{x + 1} + 8 \, x + 27\right)} \sqrt{x + \sqrt{x + 1}} + \frac{35}{128} \, \log\left(4 \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} + 1\right)} + 8 \, x + 8 \, \sqrt{x + 1} + 5\right)"," ",0,"1/96*(2*(24*x - 41)*sqrt(x + 1) + 8*x + 27)*sqrt(x + sqrt(x + 1)) + 35/128*log(4*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) + 1) + 8*x + 8*sqrt(x + 1) + 5)","A",0
1121,1,64,0,1.200360," ","integrate((1+x)^(1/2)*(x+(1+x)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{1}{96} \, {\left(2 \, {\left(24 \, x + 7\right)} \sqrt{x + 1} + 8 \, x + 75\right)} \sqrt{x + \sqrt{x + 1}} + \frac{45}{128} \, \log\left(4 \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} + 1\right)} - 8 \, x - 8 \, \sqrt{x + 1} - 5\right)"," ",0,"1/96*(2*(24*x + 7)*sqrt(x + 1) + 8*x + 75)*sqrt(x + sqrt(x + 1)) + 45/128*log(4*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) + 1) - 8*x - 8*sqrt(x + 1) - 5)","A",0
1122,1,47,0,0.624074," ","integrate((1+(x^2+1)^(1/2))/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{2}{15} \, {\left(3 \, x^{3} - 5 \, x^{2} - {\left(3 \, x^{2} - 5 \, x + 7\right)} \sqrt{x^{2} + 1} + 11 \, x + 5\right)} \sqrt{x + \sqrt{x^{2} + 1}}"," ",0,"2/15*(3*x^3 - 5*x^2 - (3*x^2 - 5*x + 7)*sqrt(x^2 + 1) + 11*x + 5)*sqrt(x + sqrt(x^2 + 1))","A",0
1123,1,163,0,0.565331," ","integrate(((x^2-4*x+1)^(1/2)+(x^2-4*x+1)^(3/2))/((x^2-4*x+1)^(1/2)+(x^2-4*x+1)^(3/2)-(x^2-4*x+1)^(5/2)),x, algorithm=""fricas"")","\frac{1}{220} \, \sqrt{110} \sqrt{7 \, \sqrt{5} + 17} \log\left(\sqrt{110} \sqrt{7 \, \sqrt{5} + 17} {\left(4 \, \sqrt{5} - 5\right)} + 110 \, x - 220\right) - \frac{1}{220} \, \sqrt{110} \sqrt{7 \, \sqrt{5} + 17} \log\left(-\sqrt{110} \sqrt{7 \, \sqrt{5} + 17} {\left(4 \, \sqrt{5} - 5\right)} + 110 \, x - 220\right) - \frac{1}{220} \, \sqrt{110} \sqrt{-7 \, \sqrt{5} + 17} \log\left(\sqrt{110} {\left(4 \, \sqrt{5} + 5\right)} \sqrt{-7 \, \sqrt{5} + 17} + 110 \, x - 220\right) + \frac{1}{220} \, \sqrt{110} \sqrt{-7 \, \sqrt{5} + 17} \log\left(-\sqrt{110} {\left(4 \, \sqrt{5} + 5\right)} \sqrt{-7 \, \sqrt{5} + 17} + 110 \, x - 220\right)"," ",0,"1/220*sqrt(110)*sqrt(7*sqrt(5) + 17)*log(sqrt(110)*sqrt(7*sqrt(5) + 17)*(4*sqrt(5) - 5) + 110*x - 220) - 1/220*sqrt(110)*sqrt(7*sqrt(5) + 17)*log(-sqrt(110)*sqrt(7*sqrt(5) + 17)*(4*sqrt(5) - 5) + 110*x - 220) - 1/220*sqrt(110)*sqrt(-7*sqrt(5) + 17)*log(sqrt(110)*(4*sqrt(5) + 5)*sqrt(-7*sqrt(5) + 17) + 110*x - 220) + 1/220*sqrt(110)*sqrt(-7*sqrt(5) + 17)*log(-sqrt(110)*(4*sqrt(5) + 5)*sqrt(-7*sqrt(5) + 17) + 110*x - 220)","B",0
1124,1,52,0,0.539437," ","integrate(x^2/(a^2*x^2-b*x)^(1/2)/(a*x^2+x*(a^2*x^2-b*x)^(1/2))^(3/2),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x} {\left(a x - \sqrt{a^{2} x^{2} - b x}\right)}}{b^{2} x}"," ",0,"-4*sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x)*(a*x - sqrt(a^2*x^2 - b*x))/(b^2*x)","A",0
1125,1,313,0,1.007982," ","integrate((a^2*b-a*(2*a+b)*x+3*a*x^2-x^3)/x/(-b+x)/(x*(-a+x)*(-b+x))^(1/2)/(a+(-b*d-1)*x+d*x^2),x, algorithm=""fricas"")","\left[\frac{{\left(b x - x^{2}\right)} \sqrt{d} \log\left(\frac{d^{2} x^{4} - 2 \, {\left(b d^{2} - 3 \, d\right)} x^{3} + {\left(b^{2} d^{2} - 6 \, {\left(a + b\right)} d + 1\right)} x^{2} + a^{2} + 4 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left(d x^{2} - {\left(b d - 1\right)} x - a\right)} \sqrt{d} + 2 \, {\left(3 \, a b d - a\right)} x}{d^{2} x^{4} - 2 \, {\left(b d^{2} + d\right)} x^{3} + {\left(b^{2} d^{2} + 2 \, {\left(a + b\right)} d + 1\right)} x^{2} + a^{2} - 2 \, {\left(a b d + a\right)} x}\right) + 4 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}}}{2 \, {\left(b x - x^{2}\right)}}, -\frac{{\left(b x - x^{2}\right)} \sqrt{-d} \arctan\left(\frac{\sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left(d x^{2} - {\left(b d - 1\right)} x - a\right)} \sqrt{-d}}{2 \, {\left(a b d x - {\left(a + b\right)} d x^{2} + d x^{3}\right)}}\right) - 2 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}}}{b x - x^{2}}\right]"," ",0,"[1/2*((b*x - x^2)*sqrt(d)*log((d^2*x^4 - 2*(b*d^2 - 3*d)*x^3 + (b^2*d^2 - 6*(a + b)*d + 1)*x^2 + a^2 + 4*sqrt(a*b*x - (a + b)*x^2 + x^3)*(d*x^2 - (b*d - 1)*x - a)*sqrt(d) + 2*(3*a*b*d - a)*x)/(d^2*x^4 - 2*(b*d^2 + d)*x^3 + (b^2*d^2 + 2*(a + b)*d + 1)*x^2 + a^2 - 2*(a*b*d + a)*x)) + 4*sqrt(a*b*x - (a + b)*x^2 + x^3))/(b*x - x^2), -((b*x - x^2)*sqrt(-d)*arctan(1/2*sqrt(a*b*x - (a + b)*x^2 + x^3)*(d*x^2 - (b*d - 1)*x - a)*sqrt(-d)/(a*b*d*x - (a + b)*d*x^2 + d*x^3)) - 2*sqrt(a*b*x - (a + b)*x^2 + x^3))/(b*x - x^2)]","A",0
1126,1,65,0,0.480667," ","integrate((x^3+1)^(2/3)/x,x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) + \frac{1}{2} \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} - \frac{1}{6} \, \log\left({\left(x^{3} + 1\right)}^{\frac{2}{3}} + {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{3} \, \log\left({\left(x^{3} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"1/3*sqrt(3)*arctan(2/3*sqrt(3)*(x^3 + 1)^(1/3) + 1/3*sqrt(3)) + 1/2*(x^3 + 1)^(2/3) - 1/6*log((x^3 + 1)^(2/3) + (x^3 + 1)^(1/3) + 1) + 1/3*log((x^3 + 1)^(1/3) - 1)","A",0
1127,-1,0,0,0.000000," ","integrate((2*a*x^2-b)*(a*x^4+b*x^2)^(1/4)/(a*x^2+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1128,1,171,0,0.594048," ","integrate((x^4-1)*(x^4+x^2+1)^(1/2)*(x^8+x^6+3*x^4+x^2+1)/(x^4+1)^3/(x^4-x^2+1),x, algorithm=""fricas"")","\frac{12 \, \sqrt{2} {\left(x^{8} + 2 \, x^{4} + 1\right)} \log\left(-\frac{x^{8} + 14 \, x^{6} + 19 \, x^{4} - 4 \, \sqrt{2} {\left(x^{5} + 3 \, x^{3} + x\right)} \sqrt{x^{4} + x^{2} + 1} + 14 \, x^{2} + 1}{x^{8} - 2 \, x^{6} + 3 \, x^{4} - 2 \, x^{2} + 1}\right) + 31 \, {\left(x^{8} + 2 \, x^{4} + 1\right)} \log\left(-\frac{x^{4} + 2 \, x^{2} + 2 \, \sqrt{x^{4} + x^{2} + 1} x + 1}{x^{4} + 1}\right) + 2 \, {\left(9 \, x^{5} + 2 \, x^{3} + 9 \, x\right)} \sqrt{x^{4} + x^{2} + 1}}{16 \, {\left(x^{8} + 2 \, x^{4} + 1\right)}}"," ",0,"1/16*(12*sqrt(2)*(x^8 + 2*x^4 + 1)*log(-(x^8 + 14*x^6 + 19*x^4 - 4*sqrt(2)*(x^5 + 3*x^3 + x)*sqrt(x^4 + x^2 + 1) + 14*x^2 + 1)/(x^8 - 2*x^6 + 3*x^4 - 2*x^2 + 1)) + 31*(x^8 + 2*x^4 + 1)*log(-(x^4 + 2*x^2 + 2*sqrt(x^4 + x^2 + 1)*x + 1)/(x^4 + 1)) + 2*(9*x^5 + 2*x^3 + 9*x)*sqrt(x^4 + x^2 + 1))/(x^8 + 2*x^4 + 1)","B",0
1129,1,120,0,0.564228," ","integrate((x^6+1)*(x^6+x^3-1)*(x^12+1)^(1/2)/x^7/(x^6-x^3-1),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{6} \log\left(\frac{2 \, x^{12} + 2 \, x^{9} + x^{6} - 2 \, x^{3} - \sqrt{3} \sqrt{x^{12} + 1} {\left(x^{6} + 2 \, x^{3} - 1\right)} + 2}{x^{12} - 2 \, x^{9} - x^{6} + 2 \, x^{3} + 1}\right) + 6 \, x^{6} \log\left(\frac{x^{6} + \sqrt{x^{12} + 1} - 1}{x^{3}}\right) + \sqrt{x^{12} + 1} {\left(x^{6} + 4 \, x^{3} - 1\right)}}{6 \, x^{6}}"," ",0,"1/6*(2*sqrt(3)*x^6*log((2*x^12 + 2*x^9 + x^6 - 2*x^3 - sqrt(3)*sqrt(x^12 + 1)*(x^6 + 2*x^3 - 1) + 2)/(x^12 - 2*x^9 - x^6 + 2*x^3 + 1)) + 6*x^6*log((x^6 + sqrt(x^12 + 1) - 1)/x^3) + sqrt(x^12 + 1)*(x^6 + 4*x^3 - 1))/x^6","A",0
1130,1,50,0,0.533719," ","integrate((d+c*(a*x+b)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{4 \, {\left(3 \, a c^{2} x + 3 \, b c^{2} + \sqrt{a x + b} c d - 2 \, d^{2}\right)} \sqrt{\sqrt{a x + b} c + d}}{15 \, a c^{2}}"," ",0,"4/15*(3*a*c^2*x + 3*b*c^2 + sqrt(a*x + b)*c*d - 2*d^2)*sqrt(sqrt(a*x + b)*c + d)/(a*c^2)","A",0
1131,1,65,0,0.432369," ","integrate((2*x^2+1)/x/(x^2+1)^(2/3),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{2} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) + 3 \, {\left(x^{2} + 1\right)}^{\frac{1}{3}} - \frac{1}{4} \, \log\left({\left(x^{2} + 1\right)}^{\frac{2}{3}} + {\left(x^{2} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{2} \, \log\left({\left(x^{2} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"-1/2*sqrt(3)*arctan(2/3*sqrt(3)*(x^2 + 1)^(1/3) + 1/3*sqrt(3)) + 3*(x^2 + 1)^(1/3) - 1/4*log((x^2 + 1)^(2/3) + (x^2 + 1)^(1/3) + 1) + 1/2*log((x^2 + 1)^(1/3) - 1)","A",0
1132,1,177,0,0.502476," ","integrate(x/((1-x)*x*(-k^2*x+1))^(1/2)/(k^2*x^2-1),x, algorithm=""fricas"")","-\frac{{\left(k - 1\right)} \arctan\left(\frac{\sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 2 \, {\left(k^{2} + k + 1\right)} x + 1\right)}}{2 \, {\left({\left(k^{3} + k^{2}\right)} x^{3} - {\left(k^{3} + k^{2} + k + 1\right)} x^{2} + {\left(k + 1\right)} x\right)}}\right) - {\left(k + 1\right)} \arctan\left(\frac{\sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 2 \, {\left(k^{2} - k + 1\right)} x + 1\right)}}{2 \, {\left({\left(k^{3} - k^{2}\right)} x^{3} - {\left(k^{3} - k^{2} + k - 1\right)} x^{2} + {\left(k - 1\right)} x\right)}}\right)}{4 \, {\left(k^{3} - k\right)}}"," ",0,"-1/4*((k - 1)*arctan(1/2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 2*(k^2 + k + 1)*x + 1)/((k^3 + k^2)*x^3 - (k^3 + k^2 + k + 1)*x^2 + (k + 1)*x)) - (k + 1)*arctan(1/2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 2*(k^2 - k + 1)*x + 1)/((k^3 - k^2)*x^3 - (k^3 - k^2 + k - 1)*x^2 + (k - 1)*x)))/(k^3 - k)","B",0
1133,1,101,0,0.514474," ","integrate((1+x)/(x^2+2*x-1)/(x^3-x)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \sqrt{2 \, \sqrt{2} + 3} \arctan\left(\frac{\sqrt{x^{3} - x} \sqrt{2 \, \sqrt{2} + 3} {\left(2 \, \sqrt{2} - 3\right)}}{x^{2} - x}\right) + \frac{1}{4} \, \sqrt{2} \sqrt{-2 \, \sqrt{2} + 3} \arctan\left(\frac{\sqrt{x^{3} - x} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 3}}{x^{2} - x}\right)"," ",0,"1/4*sqrt(2)*sqrt(2*sqrt(2) + 3)*arctan(sqrt(x^3 - x)*sqrt(2*sqrt(2) + 3)*(2*sqrt(2) - 3)/(x^2 - x)) + 1/4*sqrt(2)*sqrt(-2*sqrt(2) + 3)*arctan(sqrt(x^3 - x)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 3)/(x^2 - x))","A",0
1134,1,87,0,0.514566," ","integrate((x^2-x)/(x^2+2*x-1)/(x^3-x)^(1/2),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{2} \sqrt{2 \, \sqrt{2} + 3} \arctan\left(\frac{\sqrt{x^{3} - x} \sqrt{2 \, \sqrt{2} + 3}}{x^{2} - x}\right) + \frac{1}{4} \, \sqrt{2} \sqrt{-2 \, \sqrt{2} + 3} \arctan\left(\frac{\sqrt{x^{3} - x} \sqrt{-2 \, \sqrt{2} + 3}}{x^{2} - x}\right)"," ",0,"-1/4*sqrt(2)*sqrt(2*sqrt(2) + 3)*arctan(sqrt(x^3 - x)*sqrt(2*sqrt(2) + 3)/(x^2 - x)) + 1/4*sqrt(2)*sqrt(-2*sqrt(2) + 3)*arctan(sqrt(x^3 - x)*sqrt(-2*sqrt(2) + 3)/(x^2 - x))","A",0
1135,1,100,0,1.192201," ","integrate((x^2+3)/(x^2+1)^(1/3)/(x^3+x^2+1),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{\sqrt{3} x^{3} + 2 \, \sqrt{3} {\left(x^{2} + 1\right)}^{\frac{1}{3}} x^{2} + 4 \, \sqrt{3} {\left(x^{2} + 1\right)}^{\frac{2}{3}} x}{x^{3} - 8 \, x^{2} - 8}\right) + \frac{1}{2} \, \log\left(\frac{x^{3} + 3 \, {\left(x^{2} + 1\right)}^{\frac{1}{3}} x^{2} + x^{2} + 3 \, {\left(x^{2} + 1\right)}^{\frac{2}{3}} x + 1}{x^{3} + x^{2} + 1}\right)"," ",0,"-sqrt(3)*arctan((sqrt(3)*x^3 + 2*sqrt(3)*(x^2 + 1)^(1/3)*x^2 + 4*sqrt(3)*(x^2 + 1)^(2/3)*x)/(x^3 - 8*x^2 - 8)) + 1/2*log((x^3 + 3*(x^2 + 1)^(1/3)*x^2 + x^2 + 3*(x^2 + 1)^(2/3)*x + 1)/(x^3 + x^2 + 1))","A",0
1136,1,104,0,0.899653," ","integrate(x/(x^3-1)/(2*x^3-1)^(2/3),x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{3} \arctan\left(-\frac{4 \, \sqrt{3} {\left(2 \, x^{3} - 1\right)}^{\frac{1}{3}} x^{2} - 2 \, \sqrt{3} {\left(2 \, x^{3} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(2 \, x^{3} - 1\right)}}{10 \, x^{3} - 1}\right) + \frac{1}{6} \, \log\left(\frac{x^{3} + 3 \, {\left(2 \, x^{3} - 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(2 \, x^{3} - 1\right)}^{\frac{2}{3}} x - 1}{x^{3} - 1}\right)"," ",0,"1/3*sqrt(3)*arctan(-(4*sqrt(3)*(2*x^3 - 1)^(1/3)*x^2 - 2*sqrt(3)*(2*x^3 - 1)^(2/3)*x + sqrt(3)*(2*x^3 - 1))/(10*x^3 - 1)) + 1/6*log((x^3 + 3*(2*x^3 - 1)^(1/3)*x^2 - 3*(2*x^3 - 1)^(2/3)*x - 1)/(x^3 - 1))","A",0
1137,-1,0,0,0.000000," ","integrate((-1-2*(-1+k)*x+k*x^2)*(k^2*x^2-2*k*x+1)/((1-x)*x*(-k*x+1))^(3/4)/(-d+(3*d*k+1)*x-(3*d*k^2+1)*x^2+d*k^3*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1138,1,385,0,0.709333," ","integrate((x^4-1)/(x^3-x)^(1/2)/(x^4+1),x, algorithm=""fricas"")","-\frac{1}{2} \cdot 2^{\frac{1}{4}} \arctan\left(\frac{\sqrt{x^{3} - x} {\left(2^{\frac{3}{4}} x - 2^{\frac{1}{4}} {\left(x^{2} - 1\right)}\right)} - {\left(2 \, x^{3} - \sqrt{x^{3} - x} {\left(2^{\frac{3}{4}} x + 2^{\frac{1}{4}} {\left(x^{2} - 1\right)}\right)} - 2 \, x\right)} \sqrt{\frac{x^{4} + 4 \, \sqrt{2} {\left(x^{3} - x\right)} + 2 \, \sqrt{x^{3} - x} {\left(2^{\frac{3}{4}} {\left(x^{2} - 1\right)} + 2 \cdot 2^{\frac{1}{4}} x\right)} + 1}{x^{4} + 1}}}{2 \, {\left(x^{3} - x\right)}}\right) - \frac{1}{2} \cdot 2^{\frac{1}{4}} \arctan\left(\frac{\sqrt{x^{3} - x} {\left(2^{\frac{3}{4}} x - 2^{\frac{1}{4}} {\left(x^{2} - 1\right)}\right)} + {\left(2 \, x^{3} + \sqrt{x^{3} - x} {\left(2^{\frac{3}{4}} x + 2^{\frac{1}{4}} {\left(x^{2} - 1\right)}\right)} - 2 \, x\right)} \sqrt{\frac{x^{4} + 4 \, \sqrt{2} {\left(x^{3} - x\right)} - 2 \, \sqrt{x^{3} - x} {\left(2^{\frac{3}{4}} {\left(x^{2} - 1\right)} + 2 \cdot 2^{\frac{1}{4}} x\right)} + 1}{x^{4} + 1}}}{2 \, {\left(x^{3} - x\right)}}\right) - \frac{1}{8} \cdot 2^{\frac{1}{4}} \log\left(\frac{x^{4} + 4 \, \sqrt{2} {\left(x^{3} - x\right)} + 2 \, \sqrt{x^{3} - x} {\left(2^{\frac{3}{4}} {\left(x^{2} - 1\right)} + 2 \cdot 2^{\frac{1}{4}} x\right)} + 1}{x^{4} + 1}\right) + \frac{1}{8} \cdot 2^{\frac{1}{4}} \log\left(\frac{x^{4} + 4 \, \sqrt{2} {\left(x^{3} - x\right)} - 2 \, \sqrt{x^{3} - x} {\left(2^{\frac{3}{4}} {\left(x^{2} - 1\right)} + 2 \cdot 2^{\frac{1}{4}} x\right)} + 1}{x^{4} + 1}\right)"," ",0,"-1/2*2^(1/4)*arctan(1/2*(sqrt(x^3 - x)*(2^(3/4)*x - 2^(1/4)*(x^2 - 1)) - (2*x^3 - sqrt(x^3 - x)*(2^(3/4)*x + 2^(1/4)*(x^2 - 1)) - 2*x)*sqrt((x^4 + 4*sqrt(2)*(x^3 - x) + 2*sqrt(x^3 - x)*(2^(3/4)*(x^2 - 1) + 2*2^(1/4)*x) + 1)/(x^4 + 1)))/(x^3 - x)) - 1/2*2^(1/4)*arctan(1/2*(sqrt(x^3 - x)*(2^(3/4)*x - 2^(1/4)*(x^2 - 1)) + (2*x^3 + sqrt(x^3 - x)*(2^(3/4)*x + 2^(1/4)*(x^2 - 1)) - 2*x)*sqrt((x^4 + 4*sqrt(2)*(x^3 - x) - 2*sqrt(x^3 - x)*(2^(3/4)*(x^2 - 1) + 2*2^(1/4)*x) + 1)/(x^4 + 1)))/(x^3 - x)) - 1/8*2^(1/4)*log((x^4 + 4*sqrt(2)*(x^3 - x) + 2*sqrt(x^3 - x)*(2^(3/4)*(x^2 - 1) + 2*2^(1/4)*x) + 1)/(x^4 + 1)) + 1/8*2^(1/4)*log((x^4 + 4*sqrt(2)*(x^3 - x) - 2*sqrt(x^3 - x)*(2^(3/4)*(x^2 - 1) + 2*2^(1/4)*x) + 1)/(x^4 + 1))","B",0
1139,1,106,0,1.456896," ","integrate((x^2-1)/(x^2+x+1)/(x^4+x^2)^(1/3),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{\sqrt{3} x^{2} + 2 \, \sqrt{3} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} x + 4 \, \sqrt{3} {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}}}{8 \, x^{3} - x^{2} + 8 \, x}\right) - \frac{1}{2} \, \log\left(\frac{x^{3} + x^{2} + 3 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} x + x + 3 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}}}{x^{3} + x^{2} + x}\right)"," ",0,"-sqrt(3)*arctan((sqrt(3)*x^2 + 2*sqrt(3)*(x^4 + x^2)^(1/3)*x + 4*sqrt(3)*(x^4 + x^2)^(2/3))/(8*x^3 - x^2 + 8*x)) - 1/2*log((x^3 + x^2 + 3*(x^4 + x^2)^(1/3)*x + x + 3*(x^4 + x^2)^(2/3))/(x^3 + x^2 + x))","A",0
1140,-1,0,0,0.000000," ","integrate((a*x^4-2*b)*(a*x^4+b)^(3/4)/x^8,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1141,-1,0,0,0.000000," ","integrate((a*x^4-b)^(3/4)*(2*a*x^4-b)/x^8,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1142,1,83,0,1.488929," ","integrate((p*x^2-q)*(a*p*x^2+a*q+b*x)*(p^2*x^4+q^2)^(1/2)/x^4,x, algorithm=""fricas"")","\frac{6 \, b p q x^{3} \log\left(\frac{p x^{2} + q - \sqrt{p^{2} x^{4} + q^{2}}}{x}\right) + {\left(2 \, a p^{2} x^{4} + 3 \, b p x^{3} + 2 \, a q^{2} + 3 \, b q x\right)} \sqrt{p^{2} x^{4} + q^{2}}}{6 \, x^{3}}"," ",0,"1/6*(6*b*p*q*x^3*log((p*x^2 + q - sqrt(p^2*x^4 + q^2))/x) + (2*a*p^2*x^4 + 3*b*p*x^3 + 2*a*q^2 + 3*b*q*x)*sqrt(p^2*x^4 + q^2))/x^3","A",0
1143,1,108,0,2.180403," ","integrate((2*x^3-1)/(x^3+x+1)/(x^5+x^2)^(1/3),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{2 \, \sqrt{3} {\left(x^{5} + x^{2}\right)}^{\frac{1}{3}} x + \sqrt{3} {\left(x^{4} + x^{2} + x\right)} + 2 \, \sqrt{3} {\left(x^{5} + x^{2}\right)}^{\frac{2}{3}}}{3 \, {\left(x^{4} - x^{2} + x\right)}}\right) - \frac{1}{2} \, \log\left(\frac{x^{4} + x^{2} + 3 \, {\left(x^{5} + x^{2}\right)}^{\frac{1}{3}} x + x + 3 \, {\left(x^{5} + x^{2}\right)}^{\frac{2}{3}}}{x^{4} + x^{2} + x}\right)"," ",0,"-sqrt(3)*arctan(1/3*(2*sqrt(3)*(x^5 + x^2)^(1/3)*x + sqrt(3)*(x^4 + x^2 + x) + 2*sqrt(3)*(x^5 + x^2)^(2/3))/(x^4 - x^2 + x)) - 1/2*log((x^4 + x^2 + 3*(x^5 + x^2)^(1/3)*x + x + 3*(x^5 + x^2)^(2/3))/(x^4 + x^2 + x))","A",0
1144,1,104,0,3.209537," ","integrate((3*x^5+2)/(x^5+x^2-1)/(x^6-x)^(1/3),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{4 \, \sqrt{3} {\left(x^{6} - x\right)}^{\frac{1}{3}} x + \sqrt{3} {\left(x^{5} - 1\right)} + 2 \, \sqrt{3} {\left(x^{6} - x\right)}^{\frac{2}{3}}}{x^{5} - 8 \, x^{2} - 1}\right) - \frac{1}{2} \, \log\left(\frac{x^{5} + x^{2} + 3 \, {\left(x^{6} - x\right)}^{\frac{1}{3}} x + 3 \, {\left(x^{6} - x\right)}^{\frac{2}{3}} - 1}{x^{5} + x^{2} - 1}\right)"," ",0,"-sqrt(3)*arctan((4*sqrt(3)*(x^6 - x)^(1/3)*x + sqrt(3)*(x^5 - 1) + 2*sqrt(3)*(x^6 - x)^(2/3))/(x^5 - 8*x^2 - 1)) - 1/2*log((x^5 + x^2 + 3*(x^6 - x)^(1/3)*x + 3*(x^6 - x)^(2/3) - 1)/(x^5 + x^2 - 1))","A",0
1145,1,80,0,0.490489," ","integrate((x^6-1)^(1/2)*(2*x^6-1)^2/x^4/(4*x^6-1),x, algorithm=""fricas"")","-\frac{\sqrt{3} x^{3} \arctan\left(\frac{4}{3} \, \sqrt{3} \sqrt{x^{6} - 1} x^{3} - \frac{1}{3} \, \sqrt{3} {\left(4 \, x^{6} - 1\right)}\right) - 5 \, x^{3} \log\left(-x^{3} + \sqrt{x^{6} - 1}\right) - 4 \, x^{3} - 2 \, {\left(x^{6} + 2\right)} \sqrt{x^{6} - 1}}{12 \, x^{3}}"," ",0,"-1/12*(sqrt(3)*x^3*arctan(4/3*sqrt(3)*sqrt(x^6 - 1)*x^3 - 1/3*sqrt(3)*(4*x^6 - 1)) - 5*x^3*log(-x^3 + sqrt(x^6 - 1)) - 4*x^3 - 2*(x^6 + 2)*sqrt(x^6 - 1))/x^3","A",0
1146,-1,0,0,0.000000," ","integrate((x^4+1)/(x^4-1)^(1/4)/(x^8+x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1147,1,1200,0,19.623304," ","integrate((2*x^4-1)/(x^4-1)^(1/4)/(2*x^8-x^4-2),x, algorithm=""fricas"")","\frac{1}{68} \, \sqrt{17} {\left(-79 \, \sqrt{17} + 487\right)}^{\frac{1}{4}} \arctan\left(-\frac{{\left(64 \, {\left(107 \, x^{5} + \sqrt{17} {\left(51 \, x^{5} + 14 \, x\right)} + 190 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{-79 \, \sqrt{17} + 487} - \sqrt{2} {\left(32 \, {\left(14 \, x^{6} + 5 \, x^{2} + \sqrt{17} {\left(2 \, x^{6} + 3 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} + {\left(40 \, x^{8} - 7 \, x^{4} + \sqrt{17} {\left(8 \, x^{8} + x^{4} - 6\right)} - 22\right)} \sqrt{-79 \, \sqrt{17} + 487}\right)} \sqrt{-{\left(3071 \, \sqrt{17} - 15081\right)} \sqrt{-79 \, \sqrt{17} + 487}} - 16384 \, {\left(5 \, x^{7} - 14 \, x^{3} - \sqrt{17} {\left(3 \, x^{7} - 2 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} {\left(-79 \, \sqrt{17} + 487\right)}^{\frac{1}{4}}}{262144 \, {\left(2 \, x^{8} - x^{4} - 2\right)}}\right) + \frac{1}{68} \, \sqrt{17} {\left(79 \, \sqrt{17} + 487\right)}^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{2} {\left(32 \, {\left(14 \, x^{6} + 5 \, x^{2} - \sqrt{17} {\left(2 \, x^{6} + 3 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} + {\left(40 \, x^{8} - 7 \, x^{4} - \sqrt{17} {\left(8 \, x^{8} + x^{4} - 6\right)} - 22\right)} \sqrt{79 \, \sqrt{17} + 487}\right)} \sqrt{{\left(3071 \, \sqrt{17} + 15081\right)} \sqrt{79 \, \sqrt{17} + 487}} {\left(79 \, \sqrt{17} + 487\right)}^{\frac{1}{4}} - 64 \, {\left({\left(107 \, x^{5} - \sqrt{17} {\left(51 \, x^{5} + 14 \, x\right)} + 190 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{79 \, \sqrt{17} + 487} - 256 \, {\left(5 \, x^{7} - 14 \, x^{3} + \sqrt{17} {\left(3 \, x^{7} - 2 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} {\left(79 \, \sqrt{17} + 487\right)}^{\frac{1}{4}}}{262144 \, {\left(2 \, x^{8} - x^{4} - 2\right)}}\right) + \frac{1}{272} \, \sqrt{17} {\left(79 \, \sqrt{17} + 487\right)}^{\frac{1}{4}} \log\left(\frac{4096 \, {\left(89 \, x^{5} + \sqrt{17} {\left(15 \, x^{5} - 26 \, x\right)} - 86 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + 16 \, {\left(1151 \, x^{7} - 1210 \, x^{3} + \sqrt{17} {\left(217 \, x^{7} - 342 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} \sqrt{79 \, \sqrt{17} + 487} + {\left(91136 \, x^{8} - 123008 \, x^{4} + {\left(3335 \, x^{6} - 2538 \, x^{2} + \sqrt{17} {\left(401 \, x^{6} - 934 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} \sqrt{79 \, \sqrt{17} + 487} + 128 \, \sqrt{17} {\left(120 \, x^{8} - 231 \, x^{4} + 74\right)} + 21248\right)} {\left(79 \, \sqrt{17} + 487\right)}^{\frac{1}{4}}}{2 \, x^{8} - x^{4} - 2}\right) - \frac{1}{272} \, \sqrt{17} {\left(79 \, \sqrt{17} + 487\right)}^{\frac{1}{4}} \log\left(\frac{4096 \, {\left(89 \, x^{5} + \sqrt{17} {\left(15 \, x^{5} - 26 \, x\right)} - 86 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + 16 \, {\left(1151 \, x^{7} - 1210 \, x^{3} + \sqrt{17} {\left(217 \, x^{7} - 342 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} \sqrt{79 \, \sqrt{17} + 487} - {\left(91136 \, x^{8} - 123008 \, x^{4} + {\left(3335 \, x^{6} - 2538 \, x^{2} + \sqrt{17} {\left(401 \, x^{6} - 934 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} \sqrt{79 \, \sqrt{17} + 487} + 128 \, \sqrt{17} {\left(120 \, x^{8} - 231 \, x^{4} + 74\right)} + 21248\right)} {\left(79 \, \sqrt{17} + 487\right)}^{\frac{1}{4}}}{2 \, x^{8} - x^{4} - 2}\right) - \frac{1}{272} \, \sqrt{17} {\left(-79 \, \sqrt{17} + 487\right)}^{\frac{1}{4}} \log\left(\frac{4096 \, {\left(89 \, x^{5} - \sqrt{17} {\left(15 \, x^{5} - 26 \, x\right)} - 86 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + 16 \, {\left(1151 \, x^{7} - 1210 \, x^{3} - \sqrt{17} {\left(217 \, x^{7} - 342 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} \sqrt{-79 \, \sqrt{17} + 487} + {\left(91136 \, x^{8} - 123008 \, x^{4} + {\left(3335 \, x^{6} - 2538 \, x^{2} - \sqrt{17} {\left(401 \, x^{6} - 934 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} \sqrt{-79 \, \sqrt{17} + 487} - 128 \, \sqrt{17} {\left(120 \, x^{8} - 231 \, x^{4} + 74\right)} + 21248\right)} {\left(-79 \, \sqrt{17} + 487\right)}^{\frac{1}{4}}}{2 \, x^{8} - x^{4} - 2}\right) + \frac{1}{272} \, \sqrt{17} {\left(-79 \, \sqrt{17} + 487\right)}^{\frac{1}{4}} \log\left(\frac{4096 \, {\left(89 \, x^{5} - \sqrt{17} {\left(15 \, x^{5} - 26 \, x\right)} - 86 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + 16 \, {\left(1151 \, x^{7} - 1210 \, x^{3} - \sqrt{17} {\left(217 \, x^{7} - 342 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} \sqrt{-79 \, \sqrt{17} + 487} - {\left(91136 \, x^{8} - 123008 \, x^{4} + {\left(3335 \, x^{6} - 2538 \, x^{2} - \sqrt{17} {\left(401 \, x^{6} - 934 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} \sqrt{-79 \, \sqrt{17} + 487} - 128 \, \sqrt{17} {\left(120 \, x^{8} - 231 \, x^{4} + 74\right)} + 21248\right)} {\left(-79 \, \sqrt{17} + 487\right)}^{\frac{1}{4}}}{2 \, x^{8} - x^{4} - 2}\right)"," ",0,"1/68*sqrt(17)*(-79*sqrt(17) + 487)^(1/4)*arctan(-1/262144*(64*(107*x^5 + sqrt(17)*(51*x^5 + 14*x) + 190*x)*(x^4 - 1)^(3/4)*sqrt(-79*sqrt(17) + 487) - sqrt(2)*(32*(14*x^6 + 5*x^2 + sqrt(17)*(2*x^6 + 3*x^2))*sqrt(x^4 - 1) + (40*x^8 - 7*x^4 + sqrt(17)*(8*x^8 + x^4 - 6) - 22)*sqrt(-79*sqrt(17) + 487))*sqrt(-(3071*sqrt(17) - 15081)*sqrt(-79*sqrt(17) + 487)) - 16384*(5*x^7 - 14*x^3 - sqrt(17)*(3*x^7 - 2*x^3))*(x^4 - 1)^(1/4))*(-79*sqrt(17) + 487)^(1/4)/(2*x^8 - x^4 - 2)) + 1/68*sqrt(17)*(79*sqrt(17) + 487)^(1/4)*arctan(-1/262144*(sqrt(2)*(32*(14*x^6 + 5*x^2 - sqrt(17)*(2*x^6 + 3*x^2))*sqrt(x^4 - 1) + (40*x^8 - 7*x^4 - sqrt(17)*(8*x^8 + x^4 - 6) - 22)*sqrt(79*sqrt(17) + 487))*sqrt((3071*sqrt(17) + 15081)*sqrt(79*sqrt(17) + 487))*(79*sqrt(17) + 487)^(1/4) - 64*((107*x^5 - sqrt(17)*(51*x^5 + 14*x) + 190*x)*(x^4 - 1)^(3/4)*sqrt(79*sqrt(17) + 487) - 256*(5*x^7 - 14*x^3 + sqrt(17)*(3*x^7 - 2*x^3))*(x^4 - 1)^(1/4))*(79*sqrt(17) + 487)^(1/4))/(2*x^8 - x^4 - 2)) + 1/272*sqrt(17)*(79*sqrt(17) + 487)^(1/4)*log((4096*(89*x^5 + sqrt(17)*(15*x^5 - 26*x) - 86*x)*(x^4 - 1)^(3/4) + 16*(1151*x^7 - 1210*x^3 + sqrt(17)*(217*x^7 - 342*x^3))*(x^4 - 1)^(1/4)*sqrt(79*sqrt(17) + 487) + (91136*x^8 - 123008*x^4 + (3335*x^6 - 2538*x^2 + sqrt(17)*(401*x^6 - 934*x^2))*sqrt(x^4 - 1)*sqrt(79*sqrt(17) + 487) + 128*sqrt(17)*(120*x^8 - 231*x^4 + 74) + 21248)*(79*sqrt(17) + 487)^(1/4))/(2*x^8 - x^4 - 2)) - 1/272*sqrt(17)*(79*sqrt(17) + 487)^(1/4)*log((4096*(89*x^5 + sqrt(17)*(15*x^5 - 26*x) - 86*x)*(x^4 - 1)^(3/4) + 16*(1151*x^7 - 1210*x^3 + sqrt(17)*(217*x^7 - 342*x^3))*(x^4 - 1)^(1/4)*sqrt(79*sqrt(17) + 487) - (91136*x^8 - 123008*x^4 + (3335*x^6 - 2538*x^2 + sqrt(17)*(401*x^6 - 934*x^2))*sqrt(x^4 - 1)*sqrt(79*sqrt(17) + 487) + 128*sqrt(17)*(120*x^8 - 231*x^4 + 74) + 21248)*(79*sqrt(17) + 487)^(1/4))/(2*x^8 - x^4 - 2)) - 1/272*sqrt(17)*(-79*sqrt(17) + 487)^(1/4)*log((4096*(89*x^5 - sqrt(17)*(15*x^5 - 26*x) - 86*x)*(x^4 - 1)^(3/4) + 16*(1151*x^7 - 1210*x^3 - sqrt(17)*(217*x^7 - 342*x^3))*(x^4 - 1)^(1/4)*sqrt(-79*sqrt(17) + 487) + (91136*x^8 - 123008*x^4 + (3335*x^6 - 2538*x^2 - sqrt(17)*(401*x^6 - 934*x^2))*sqrt(x^4 - 1)*sqrt(-79*sqrt(17) + 487) - 128*sqrt(17)*(120*x^8 - 231*x^4 + 74) + 21248)*(-79*sqrt(17) + 487)^(1/4))/(2*x^8 - x^4 - 2)) + 1/272*sqrt(17)*(-79*sqrt(17) + 487)^(1/4)*log((4096*(89*x^5 - sqrt(17)*(15*x^5 - 26*x) - 86*x)*(x^4 - 1)^(3/4) + 16*(1151*x^7 - 1210*x^3 - sqrt(17)*(217*x^7 - 342*x^3))*(x^4 - 1)^(1/4)*sqrt(-79*sqrt(17) + 487) - (91136*x^8 - 123008*x^4 + (3335*x^6 - 2538*x^2 - sqrt(17)*(401*x^6 - 934*x^2))*sqrt(x^4 - 1)*sqrt(-79*sqrt(17) + 487) - 128*sqrt(17)*(120*x^8 - 231*x^4 + 74) + 21248)*(-79*sqrt(17) + 487)^(1/4))/(2*x^8 - x^4 - 2))","B",0
1148,1,565,0,0.613463," ","integrate((2*x^8+x^4-1)/(x^4-1)^(1/4)/(x^8-x^4+1),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{3} \sqrt{2} \arctan\left(\frac{3 \, x^{5} + \sqrt{3} \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} x^{2} + 2 \, \sqrt{x^{4} - 1} x^{3} - \sqrt{3} \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(x^{4} - 3\right)} + {\left(2 \, \sqrt{3} \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{4} + 4 \, x^{5} + 3 \, \sqrt{3} \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} x^{2} + 6 \, \sqrt{x^{4} - 1} x^{3}\right)} \sqrt{-\frac{\sqrt{3} \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} - 2 \, x^{4} + \sqrt{3} \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} x - 3 \, \sqrt{x^{4} - 1} x^{2} + 1}{x^{4}}} - 3 \, x}{5 \, x^{5} - 9 \, x}\right) - \frac{1}{2} \, \sqrt{3} \sqrt{2} \arctan\left(-\frac{3 \, x^{5} - \sqrt{3} \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} x^{2} + 2 \, \sqrt{x^{4} - 1} x^{3} + \sqrt{3} \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(x^{4} - 3\right)} - {\left(2 \, \sqrt{3} \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{4} - 4 \, x^{5} + 3 \, \sqrt{3} \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} x^{2} - 6 \, \sqrt{x^{4} - 1} x^{3}\right)} \sqrt{\frac{\sqrt{3} \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 2 \, x^{4} + \sqrt{3} \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} x + 3 \, \sqrt{x^{4} - 1} x^{2} - 1}{x^{4}}} - 3 \, x}{5 \, x^{5} - 9 \, x}\right) - \frac{1}{8} \, \sqrt{3} \sqrt{2} \log\left(\frac{9 \, {\left(\sqrt{3} \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 2 \, x^{4} + \sqrt{3} \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} x + 3 \, \sqrt{x^{4} - 1} x^{2} - 1\right)}}{x^{4}}\right) + \frac{1}{8} \, \sqrt{3} \sqrt{2} \log\left(-\frac{9 \, {\left(\sqrt{3} \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} - 2 \, x^{4} + \sqrt{3} \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} x - 3 \, \sqrt{x^{4} - 1} x^{2} + 1\right)}}{x^{4}}\right) - \arctan\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \log\left(\frac{x + {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \log\left(-\frac{x - {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-1/2*sqrt(3)*sqrt(2)*arctan((3*x^5 + sqrt(3)*sqrt(2)*(x^4 - 1)^(3/4)*x^2 + 2*sqrt(x^4 - 1)*x^3 - sqrt(3)*sqrt(2)*(x^4 - 1)^(1/4)*(x^4 - 3) + (2*sqrt(3)*sqrt(2)*(x^4 - 1)^(1/4)*x^4 + 4*x^5 + 3*sqrt(3)*sqrt(2)*(x^4 - 1)^(3/4)*x^2 + 6*sqrt(x^4 - 1)*x^3)*sqrt(-(sqrt(3)*sqrt(2)*(x^4 - 1)^(1/4)*x^3 - 2*x^4 + sqrt(3)*sqrt(2)*(x^4 - 1)^(3/4)*x - 3*sqrt(x^4 - 1)*x^2 + 1)/x^4) - 3*x)/(5*x^5 - 9*x)) - 1/2*sqrt(3)*sqrt(2)*arctan(-(3*x^5 - sqrt(3)*sqrt(2)*(x^4 - 1)^(3/4)*x^2 + 2*sqrt(x^4 - 1)*x^3 + sqrt(3)*sqrt(2)*(x^4 - 1)^(1/4)*(x^4 - 3) - (2*sqrt(3)*sqrt(2)*(x^4 - 1)^(1/4)*x^4 - 4*x^5 + 3*sqrt(3)*sqrt(2)*(x^4 - 1)^(3/4)*x^2 - 6*sqrt(x^4 - 1)*x^3)*sqrt((sqrt(3)*sqrt(2)*(x^4 - 1)^(1/4)*x^3 + 2*x^4 + sqrt(3)*sqrt(2)*(x^4 - 1)^(3/4)*x + 3*sqrt(x^4 - 1)*x^2 - 1)/x^4) - 3*x)/(5*x^5 - 9*x)) - 1/8*sqrt(3)*sqrt(2)*log(9*(sqrt(3)*sqrt(2)*(x^4 - 1)^(1/4)*x^3 + 2*x^4 + sqrt(3)*sqrt(2)*(x^4 - 1)^(3/4)*x + 3*sqrt(x^4 - 1)*x^2 - 1)/x^4) + 1/8*sqrt(3)*sqrt(2)*log(-9*(sqrt(3)*sqrt(2)*(x^4 - 1)^(1/4)*x^3 - 2*x^4 + sqrt(3)*sqrt(2)*(x^4 - 1)^(3/4)*x - 3*sqrt(x^4 - 1)*x^2 + 1)/x^4) - arctan((x^4 - 1)^(1/4)/x) + 1/2*log((x + (x^4 - 1)^(1/4))/x) - 1/2*log(-(x - (x^4 - 1)^(1/4))/x)","B",0
1149,-1,0,0,0.000000," ","integrate(1/(a*x^4+b*x^2)^(1/4)/(a*x^8-2*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1150,-1,0,0,0.000000," ","integrate(1/(a*x^4+b*x^2)^(1/4)/(a*x^8-2*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1151,1,161,0,51.694410," ","integrate((x^5+4)*(2*x^5+x^4-2)^(1/4)*(2*x^10+x^8-4*x^5+2)/x^10/(x^5-1),x, algorithm=""fricas"")","\frac{45 \, x^{9} \arctan\left(\frac{{\left(2 \, x^{5} + x^{4} - 2\right)}^{\frac{1}{4}} x^{3} + {\left(2 \, x^{5} + x^{4} - 2\right)}^{\frac{3}{4}} x}{x^{5} - 1}\right) + 45 \, x^{9} \log\left(-\frac{x^{5} + x^{4} - {\left(2 \, x^{5} + x^{4} - 2\right)}^{\frac{1}{4}} x^{3} + \sqrt{2 \, x^{5} + x^{4} - 2} x^{2} - {\left(2 \, x^{5} + x^{4} - 2\right)}^{\frac{3}{4}} x - 1}{x^{5} - 1}\right) + 4 \, {\left(10 \, x^{10} + x^{9} + 43 \, x^{8} - 20 \, x^{5} - x^{4} + 10\right)} {\left(2 \, x^{5} + x^{4} - 2\right)}^{\frac{1}{4}}}{45 \, x^{9}}"," ",0,"1/45*(45*x^9*arctan(((2*x^5 + x^4 - 2)^(1/4)*x^3 + (2*x^5 + x^4 - 2)^(3/4)*x)/(x^5 - 1)) + 45*x^9*log(-(x^5 + x^4 - (2*x^5 + x^4 - 2)^(1/4)*x^3 + sqrt(2*x^5 + x^4 - 2)*x^2 - (2*x^5 + x^4 - 2)^(3/4)*x - 1)/(x^5 - 1)) + 4*(10*x^10 + x^9 + 43*x^8 - 20*x^5 - x^4 + 10)*(2*x^5 + x^4 - 2)^(1/4))/x^9","B",0
1152,1,120,0,0.531304," ","integrate((x^12+1)/(x^4+1)^(1/2)/(x^12-1),x, algorithm=""fricas"")","-\frac{1}{12} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} x}{\sqrt{x^{4} + 1}}\right) + \frac{1}{24} \, \sqrt{2} \log\left(\frac{x^{4} - 2 \, \sqrt{2} \sqrt{x^{4} + 1} x + 2 \, x^{2} + 1}{x^{4} - 2 \, x^{2} + 1}\right) - \frac{1}{6} \, \arctan\left(\frac{2 \, \sqrt{x^{4} + 1} x}{x^{4} - x^{2} + 1}\right) + \frac{1}{6} \, \log\left(\frac{x^{4} + x^{2} - 2 \, \sqrt{x^{4} + 1} x + 1}{x^{4} - x^{2} + 1}\right)"," ",0,"-1/12*sqrt(2)*arctan(sqrt(2)*x/sqrt(x^4 + 1)) + 1/24*sqrt(2)*log((x^4 - 2*sqrt(2)*sqrt(x^4 + 1)*x + 2*x^2 + 1)/(x^4 - 2*x^2 + 1)) - 1/6*arctan(2*sqrt(x^4 + 1)*x/(x^4 - x^2 + 1)) + 1/6*log((x^4 + x^2 - 2*sqrt(x^4 + 1)*x + 1)/(x^4 - x^2 + 1))","A",0
1153,1,440,0,1.186801," ","integrate((-x^6+1)^(1/2)*(2*x^6+1)*(x^12-x^8-2*x^6-x^4+x^2+1)/(x^6-1)/(x^18-3*x^12+2*x^6-1),x, algorithm=""fricas"")","-\frac{1}{12} \, \sqrt{3} \log\left(\frac{16 \, {\left(x^{12} - 5 \, x^{8} - 2 \, x^{6} + x^{4} + 2 \, \sqrt{3} {\left(x^{7} - x^{3} - x\right)} \sqrt{-x^{6} + 1} + 5 \, x^{2} + 1\right)}}{x^{12} + x^{8} - 2 \, x^{6} + x^{4} - x^{2} + 1}\right) + \frac{1}{12} \, \sqrt{3} \log\left(\frac{16 \, {\left(x^{12} - 5 \, x^{8} - 2 \, x^{6} + x^{4} - 2 \, \sqrt{3} {\left(x^{7} - x^{3} - x\right)} \sqrt{-x^{6} + 1} + 5 \, x^{2} + 1\right)}}{x^{12} + x^{8} - 2 \, x^{6} + x^{4} - x^{2} + 1}\right) + \frac{1}{6} \, \arctan\left(\frac{2 \, \sqrt{-x^{6} + 1} x}{x^{6} + x^{2} - 1}\right) + \frac{1}{3} \, \arctan\left(-\frac{\sqrt{-x^{6} + 1} x + {\left(x^{6} - \sqrt{3} \sqrt{-x^{6} + 1} x - x^{2} - 1\right)} \sqrt{\frac{x^{12} - 5 \, x^{8} - 2 \, x^{6} + x^{4} + 2 \, \sqrt{3} {\left(x^{7} - x^{3} - x\right)} \sqrt{-x^{6} + 1} + 5 \, x^{2} + 1}{x^{12} + x^{8} - 2 \, x^{6} + x^{4} - x^{2} + 1}}}{x^{6} + x^{2} - 1}\right) - \frac{1}{3} \, \arctan\left(\frac{\sqrt{-x^{6} + 1} x + {\left(x^{6} + \sqrt{3} \sqrt{-x^{6} + 1} x - x^{2} - 1\right)} \sqrt{\frac{x^{12} - 5 \, x^{8} - 2 \, x^{6} + x^{4} - 2 \, \sqrt{3} {\left(x^{7} - x^{3} - x\right)} \sqrt{-x^{6} + 1} + 5 \, x^{2} + 1}{x^{12} + x^{8} - 2 \, x^{6} + x^{4} - x^{2} + 1}}}{x^{6} + x^{2} - 1}\right)"," ",0,"-1/12*sqrt(3)*log(16*(x^12 - 5*x^8 - 2*x^6 + x^4 + 2*sqrt(3)*(x^7 - x^3 - x)*sqrt(-x^6 + 1) + 5*x^2 + 1)/(x^12 + x^8 - 2*x^6 + x^4 - x^2 + 1)) + 1/12*sqrt(3)*log(16*(x^12 - 5*x^8 - 2*x^6 + x^4 - 2*sqrt(3)*(x^7 - x^3 - x)*sqrt(-x^6 + 1) + 5*x^2 + 1)/(x^12 + x^8 - 2*x^6 + x^4 - x^2 + 1)) + 1/6*arctan(2*sqrt(-x^6 + 1)*x/(x^6 + x^2 - 1)) + 1/3*arctan(-(sqrt(-x^6 + 1)*x + (x^6 - sqrt(3)*sqrt(-x^6 + 1)*x - x^2 - 1)*sqrt((x^12 - 5*x^8 - 2*x^6 + x^4 + 2*sqrt(3)*(x^7 - x^3 - x)*sqrt(-x^6 + 1) + 5*x^2 + 1)/(x^12 + x^8 - 2*x^6 + x^4 - x^2 + 1)))/(x^6 + x^2 - 1)) - 1/3*arctan((sqrt(-x^6 + 1)*x + (x^6 + sqrt(3)*sqrt(-x^6 + 1)*x - x^2 - 1)*sqrt((x^12 - 5*x^8 - 2*x^6 + x^4 - 2*sqrt(3)*(x^7 - x^3 - x)*sqrt(-x^6 + 1) + 5*x^2 + 1)/(x^12 + x^8 - 2*x^6 + x^4 - x^2 + 1)))/(x^6 + x^2 - 1))","B",0
1154,1,65,0,1.109637," ","integrate((x^2-(x^2+1)^(1/2))/(1+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{5 \, \sqrt{2} x \arctan\left(\frac{\sqrt{2} \sqrt{\sqrt{x^{2} + 1} + 1}}{x}\right) - 2 \, {\left(3 \, x^{2} - {\left(x^{2} + 4\right)} \sqrt{x^{2} + 1} + 4\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{5 \, x}"," ",0,"1/5*(5*sqrt(2)*x*arctan(sqrt(2)*sqrt(sqrt(x^2 + 1) + 1)/x) - 2*(3*x^2 - (x^2 + 4)*sqrt(x^2 + 1) + 4)*sqrt(sqrt(x^2 + 1) + 1))/x","A",0
1155,1,68,0,0.427528," ","integrate(1/(-1+x)/(x^2-2*x+2)^(1/3),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{2} - 2 \, x + 2\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) - \frac{1}{4} \, \log\left({\left(x^{2} - 2 \, x + 2\right)}^{\frac{2}{3}} + {\left(x^{2} - 2 \, x + 2\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{2} \, \log\left({\left(x^{2} - 2 \, x + 2\right)}^{\frac{1}{3}} - 1\right)"," ",0,"1/2*sqrt(3)*arctan(2/3*sqrt(3)*(x^2 - 2*x + 2)^(1/3) + 1/3*sqrt(3)) - 1/4*log((x^2 - 2*x + 2)^(2/3) + (x^2 - 2*x + 2)^(1/3) + 1) + 1/2*log((x^2 - 2*x + 2)^(1/3) - 1)","A",0
1156,1,68,0,0.437002," ","integrate(1/(1+x)/(x^2+2*x+2)^(1/3),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{2} + 2 \, x + 2\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) - \frac{1}{4} \, \log\left({\left(x^{2} + 2 \, x + 2\right)}^{\frac{2}{3}} + {\left(x^{2} + 2 \, x + 2\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{2} \, \log\left({\left(x^{2} + 2 \, x + 2\right)}^{\frac{1}{3}} - 1\right)"," ",0,"1/2*sqrt(3)*arctan(2/3*sqrt(3)*(x^2 + 2*x + 2)^(1/3) + 1/3*sqrt(3)) - 1/4*log((x^2 + 2*x + 2)^(2/3) + (x^2 + 2*x + 2)^(1/3) + 1) + 1/2*log((x^2 + 2*x + 2)^(1/3) - 1)","A",0
1157,1,67,0,0.433621," ","integrate((x^3-1)^(2/3)/x,x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) + \frac{1}{2} \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} - \frac{1}{6} \, \log\left({\left(x^{3} - 1\right)}^{\frac{2}{3}} - {\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{3} \, \log\left({\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"-1/3*sqrt(3)*arctan(2/3*sqrt(3)*(x^3 - 1)^(1/3) - 1/3*sqrt(3)) + 1/2*(x^3 - 1)^(2/3) - 1/6*log((x^3 - 1)^(2/3) - (x^3 - 1)^(1/3) + 1) + 1/3*log((x^3 - 1)^(1/3) + 1)","A",0
1158,1,104,0,1.150396," ","integrate((x^2+3)/(x^2+1)^(1/3)/(x^3-x^2-1),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{\sqrt{3} x^{3} - 2 \, \sqrt{3} {\left(x^{2} + 1\right)}^{\frac{1}{3}} x^{2} + 4 \, \sqrt{3} {\left(x^{2} + 1\right)}^{\frac{2}{3}} x}{x^{3} + 8 \, x^{2} + 8}\right) + \frac{1}{2} \, \log\left(\frac{x^{3} - 3 \, {\left(x^{2} + 1\right)}^{\frac{1}{3}} x^{2} - x^{2} + 3 \, {\left(x^{2} + 1\right)}^{\frac{2}{3}} x - 1}{x^{3} - x^{2} - 1}\right)"," ",0,"-sqrt(3)*arctan((sqrt(3)*x^3 - 2*sqrt(3)*(x^2 + 1)^(1/3)*x^2 + 4*sqrt(3)*(x^2 + 1)^(2/3)*x)/(x^3 + 8*x^2 + 8)) + 1/2*log((x^3 - 3*(x^2 + 1)^(1/3)*x^2 - x^2 + 3*(x^2 + 1)^(2/3)*x - 1)/(x^3 - x^2 - 1))","A",0
1159,-1,0,0,0.000000," ","integrate((-2-(-1+k)*(1+k)*x+2*k^2*x^2)/((-x^2+1)*(-k^2*x^2+1))^(1/4)/(-1+d-(3+d)*x-(d*k^2+3)*x^2+(d*k^2-1)*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1160,-1,0,0,0.000000," ","integrate((-2+(-1+k)*(1+k)*x+2*k^2*x^2)/((-x^2+1)*(-k^2*x^2+1))^(1/4)/(1-d-(3+d)*x+(d*k^2+3)*x^2+(d*k^2-1)*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1161,1,162,0,0.658320," ","integrate((x^4-1)^(1/4)/x,x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{4} - 1} + 1} - \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} - 1\right) + \frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{4} - 1} + 4} - \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + 1\right) - \frac{1}{8} \, \sqrt{2} \log\left(4 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{4} - 1} + 4\right) + \frac{1}{8} \, \sqrt{2} \log\left(-4 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{4} - 1} + 4\right) + {\left(x^{4} - 1\right)}^{\frac{1}{4}}"," ",0,"1/2*sqrt(2)*arctan(sqrt(2)*sqrt(sqrt(2)*(x^4 - 1)^(1/4) + sqrt(x^4 - 1) + 1) - sqrt(2)*(x^4 - 1)^(1/4) - 1) + 1/2*sqrt(2)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*(x^4 - 1)^(1/4) + 4*sqrt(x^4 - 1) + 4) - sqrt(2)*(x^4 - 1)^(1/4) + 1) - 1/8*sqrt(2)*log(4*sqrt(2)*(x^4 - 1)^(1/4) + 4*sqrt(x^4 - 1) + 4) + 1/8*sqrt(2)*log(-4*sqrt(2)*(x^4 - 1)^(1/4) + 4*sqrt(x^4 - 1) + 4) + (x^4 - 1)^(1/4)","B",0
1162,1,219,0,1.381951," ","integrate((x^4-x)^(1/2)/(a*x^3-b),x, algorithm=""fricas"")","\left[\frac{\sqrt{-\frac{a - b}{b}} \log\left(-\frac{{\left(a^{2} - 8 \, a b + 8 \, b^{2}\right)} x^{6} + 2 \, {\left(3 \, a b - 4 \, b^{2}\right)} x^{3} + b^{2} + 4 \, {\left({\left(a b - 2 \, b^{2}\right)} x^{4} + b^{2} x\right)} \sqrt{x^{4} - x} \sqrt{-\frac{a - b}{b}}}{a^{2} x^{6} - 2 \, a b x^{3} + b^{2}}\right) + 2 \, \log\left(-2 \, x^{3} - 2 \, \sqrt{x^{4} - x} x + 1\right)}{6 \, a}, \frac{\sqrt{\frac{a - b}{b}} \arctan\left(-\frac{2 \, \sqrt{x^{4} - x} b x \sqrt{\frac{a - b}{b}}}{{\left(a - 2 \, b\right)} x^{3} + b}\right) + \log\left(-2 \, x^{3} - 2 \, \sqrt{x^{4} - x} x + 1\right)}{3 \, a}\right]"," ",0,"[1/6*(sqrt(-(a - b)/b)*log(-((a^2 - 8*a*b + 8*b^2)*x^6 + 2*(3*a*b - 4*b^2)*x^3 + b^2 + 4*((a*b - 2*b^2)*x^4 + b^2*x)*sqrt(x^4 - x)*sqrt(-(a - b)/b))/(a^2*x^6 - 2*a*b*x^3 + b^2)) + 2*log(-2*x^3 - 2*sqrt(x^4 - x)*x + 1))/a, 1/3*(sqrt((a - b)/b)*arctan(-2*sqrt(x^4 - x)*b*x*sqrt((a - b)/b)/((a - 2*b)*x^3 + b)) + log(-2*x^3 - 2*sqrt(x^4 - x)*x + 1))/a]","A",0
1163,1,286,0,2.229335," ","integrate(1/(x^4-1)/(x^4-x^2)^(1/4),x, algorithm=""fricas"")","\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{3} - x\right)} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{4} - x^{2}} x + 2^{\frac{1}{4}} {\left(3 \, x^{3} - x\right)}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{3} + x\right)}}\right) - 2^{\frac{3}{4}} {\left(x^{3} - x\right)} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(3 \, x^{3} - x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{4} - x^{2}} x + 4 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{x^{3} + x}\right) + 2^{\frac{3}{4}} {\left(x^{3} - x\right)} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(3 \, x^{3} - x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{4} - x^{2}} x + 4 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{x^{3} + x}\right) - 16 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{16 \, {\left(x^{3} - x\right)}}"," ",0,"1/16*(4*2^(3/4)*(x^3 - x)*arctan(1/2*(4*2^(3/4)*(x^4 - x^2)^(1/4)*x^2 + 2^(3/4)*(2*2^(3/4)*sqrt(x^4 - x^2)*x + 2^(1/4)*(3*x^3 - x)) + 4*2^(1/4)*(x^4 - x^2)^(3/4))/(x^3 + x)) - 2^(3/4)*(x^3 - x)*log((4*sqrt(2)*(x^4 - x^2)^(1/4)*x^2 + 2^(3/4)*(3*x^3 - x) + 4*2^(1/4)*sqrt(x^4 - x^2)*x + 4*(x^4 - x^2)^(3/4))/(x^3 + x)) + 2^(3/4)*(x^3 - x)*log((4*sqrt(2)*(x^4 - x^2)^(1/4)*x^2 - 2^(3/4)*(3*x^3 - x) - 4*2^(1/4)*sqrt(x^4 - x^2)*x + 4*(x^4 - x^2)^(3/4))/(x^3 + x)) - 16*(x^4 - x^2)^(3/4))/(x^3 - x)","B",0
1164,1,496,0,0.971561," ","integrate((x^4-x^3)^(1/4)/(x^2-2*x-1),x, algorithm=""fricas"")","\sqrt{2} {\left(7 \, \sqrt{2} + 10\right)}^{\frac{1}{4}} \arctan\left(\frac{{\left({\left(3 \, \sqrt{2} x - 4 \, x\right)} \sqrt{7 \, \sqrt{2} + 10} \sqrt{-\frac{{\left(2 \, \sqrt{2} x^{2} - 3 \, x^{2}\right)} \sqrt{7 \, \sqrt{2} + 10} - \sqrt{x^{4} - x^{3}}}{x^{2}}} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \sqrt{7 \, \sqrt{2} + 10} {\left(3 \, \sqrt{2} - 4\right)}\right)} {\left(7 \, \sqrt{2} + 10\right)}^{\frac{1}{4}}}{2 \, x}\right) + \sqrt{2} {\left(-7 \, \sqrt{2} + 10\right)}^{\frac{1}{4}} \arctan\left(\frac{{\left(3 \, \sqrt{2} x + 4 \, x\right)} {\left(-7 \, \sqrt{2} + 10\right)}^{\frac{3}{4}} \sqrt{\frac{{\left(2 \, \sqrt{2} x^{2} + 3 \, x^{2}\right)} \sqrt{-7 \, \sqrt{2} + 10} + \sqrt{x^{4} - x^{3}}}{x^{2}}} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)} {\left(-7 \, \sqrt{2} + 10\right)}^{\frac{3}{4}}}{2 \, x}\right) - \frac{1}{4} \, \sqrt{2} {\left(7 \, \sqrt{2} + 10\right)}^{\frac{1}{4}} \log\left(\frac{{\left(\sqrt{2} x - x\right)} {\left(7 \, \sqrt{2} + 10\right)}^{\frac{1}{4}} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{4} \, \sqrt{2} {\left(7 \, \sqrt{2} + 10\right)}^{\frac{1}{4}} \log\left(-\frac{{\left(\sqrt{2} x - x\right)} {\left(7 \, \sqrt{2} + 10\right)}^{\frac{1}{4}} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{4} \, \sqrt{2} {\left(-7 \, \sqrt{2} + 10\right)}^{\frac{1}{4}} \log\left(\frac{{\left(\sqrt{2} x + x\right)} {\left(-7 \, \sqrt{2} + 10\right)}^{\frac{1}{4}} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{4} \, \sqrt{2} {\left(-7 \, \sqrt{2} + 10\right)}^{\frac{1}{4}} \log\left(-\frac{{\left(\sqrt{2} x + x\right)} {\left(-7 \, \sqrt{2} + 10\right)}^{\frac{1}{4}} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 2 \, \arctan\left(\frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \log\left(\frac{x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \log\left(-\frac{x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"sqrt(2)*(7*sqrt(2) + 10)^(1/4)*arctan(1/2*((3*sqrt(2)*x - 4*x)*sqrt(7*sqrt(2) + 10)*sqrt(-((2*sqrt(2)*x^2 - 3*x^2)*sqrt(7*sqrt(2) + 10) - sqrt(x^4 - x^3))/x^2) - (x^4 - x^3)^(1/4)*sqrt(7*sqrt(2) + 10)*(3*sqrt(2) - 4))*(7*sqrt(2) + 10)^(1/4)/x) + sqrt(2)*(-7*sqrt(2) + 10)^(1/4)*arctan(1/2*((3*sqrt(2)*x + 4*x)*(-7*sqrt(2) + 10)^(3/4)*sqrt(((2*sqrt(2)*x^2 + 3*x^2)*sqrt(-7*sqrt(2) + 10) + sqrt(x^4 - x^3))/x^2) - (x^4 - x^3)^(1/4)*(3*sqrt(2) + 4)*(-7*sqrt(2) + 10)^(3/4))/x) - 1/4*sqrt(2)*(7*sqrt(2) + 10)^(1/4)*log(((sqrt(2)*x - x)*(7*sqrt(2) + 10)^(1/4) + (x^4 - x^3)^(1/4))/x) + 1/4*sqrt(2)*(7*sqrt(2) + 10)^(1/4)*log(-((sqrt(2)*x - x)*(7*sqrt(2) + 10)^(1/4) - (x^4 - x^3)^(1/4))/x) - 1/4*sqrt(2)*(-7*sqrt(2) + 10)^(1/4)*log(((sqrt(2)*x + x)*(-7*sqrt(2) + 10)^(1/4) + (x^4 - x^3)^(1/4))/x) + 1/4*sqrt(2)*(-7*sqrt(2) + 10)^(1/4)*log(-((sqrt(2)*x + x)*(-7*sqrt(2) + 10)^(1/4) - (x^4 - x^3)^(1/4))/x) + 2*arctan((x^4 - x^3)^(1/4)/x) + log((x + (x^4 - x^3)^(1/4))/x) - log(-(x - (x^4 - x^3)^(1/4))/x)","B",0
1165,1,496,0,0.878623," ","integrate((x^4-x^3)^(1/4)/(x^2-2*x-1),x, algorithm=""fricas"")","\sqrt{2} {\left(7 \, \sqrt{2} + 10\right)}^{\frac{1}{4}} \arctan\left(\frac{{\left({\left(3 \, \sqrt{2} x - 4 \, x\right)} \sqrt{7 \, \sqrt{2} + 10} \sqrt{-\frac{{\left(2 \, \sqrt{2} x^{2} - 3 \, x^{2}\right)} \sqrt{7 \, \sqrt{2} + 10} - \sqrt{x^{4} - x^{3}}}{x^{2}}} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \sqrt{7 \, \sqrt{2} + 10} {\left(3 \, \sqrt{2} - 4\right)}\right)} {\left(7 \, \sqrt{2} + 10\right)}^{\frac{1}{4}}}{2 \, x}\right) + \sqrt{2} {\left(-7 \, \sqrt{2} + 10\right)}^{\frac{1}{4}} \arctan\left(\frac{{\left(3 \, \sqrt{2} x + 4 \, x\right)} {\left(-7 \, \sqrt{2} + 10\right)}^{\frac{3}{4}} \sqrt{\frac{{\left(2 \, \sqrt{2} x^{2} + 3 \, x^{2}\right)} \sqrt{-7 \, \sqrt{2} + 10} + \sqrt{x^{4} - x^{3}}}{x^{2}}} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)} {\left(-7 \, \sqrt{2} + 10\right)}^{\frac{3}{4}}}{2 \, x}\right) - \frac{1}{4} \, \sqrt{2} {\left(7 \, \sqrt{2} + 10\right)}^{\frac{1}{4}} \log\left(\frac{{\left(\sqrt{2} x - x\right)} {\left(7 \, \sqrt{2} + 10\right)}^{\frac{1}{4}} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{4} \, \sqrt{2} {\left(7 \, \sqrt{2} + 10\right)}^{\frac{1}{4}} \log\left(-\frac{{\left(\sqrt{2} x - x\right)} {\left(7 \, \sqrt{2} + 10\right)}^{\frac{1}{4}} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{4} \, \sqrt{2} {\left(-7 \, \sqrt{2} + 10\right)}^{\frac{1}{4}} \log\left(\frac{{\left(\sqrt{2} x + x\right)} {\left(-7 \, \sqrt{2} + 10\right)}^{\frac{1}{4}} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{4} \, \sqrt{2} {\left(-7 \, \sqrt{2} + 10\right)}^{\frac{1}{4}} \log\left(-\frac{{\left(\sqrt{2} x + x\right)} {\left(-7 \, \sqrt{2} + 10\right)}^{\frac{1}{4}} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 2 \, \arctan\left(\frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \log\left(\frac{x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \log\left(-\frac{x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"sqrt(2)*(7*sqrt(2) + 10)^(1/4)*arctan(1/2*((3*sqrt(2)*x - 4*x)*sqrt(7*sqrt(2) + 10)*sqrt(-((2*sqrt(2)*x^2 - 3*x^2)*sqrt(7*sqrt(2) + 10) - sqrt(x^4 - x^3))/x^2) - (x^4 - x^3)^(1/4)*sqrt(7*sqrt(2) + 10)*(3*sqrt(2) - 4))*(7*sqrt(2) + 10)^(1/4)/x) + sqrt(2)*(-7*sqrt(2) + 10)^(1/4)*arctan(1/2*((3*sqrt(2)*x + 4*x)*(-7*sqrt(2) + 10)^(3/4)*sqrt(((2*sqrt(2)*x^2 + 3*x^2)*sqrt(-7*sqrt(2) + 10) + sqrt(x^4 - x^3))/x^2) - (x^4 - x^3)^(1/4)*(3*sqrt(2) + 4)*(-7*sqrt(2) + 10)^(3/4))/x) - 1/4*sqrt(2)*(7*sqrt(2) + 10)^(1/4)*log(((sqrt(2)*x - x)*(7*sqrt(2) + 10)^(1/4) + (x^4 - x^3)^(1/4))/x) + 1/4*sqrt(2)*(7*sqrt(2) + 10)^(1/4)*log(-((sqrt(2)*x - x)*(7*sqrt(2) + 10)^(1/4) - (x^4 - x^3)^(1/4))/x) - 1/4*sqrt(2)*(-7*sqrt(2) + 10)^(1/4)*log(((sqrt(2)*x + x)*(-7*sqrt(2) + 10)^(1/4) + (x^4 - x^3)^(1/4))/x) + 1/4*sqrt(2)*(-7*sqrt(2) + 10)^(1/4)*log(-((sqrt(2)*x + x)*(-7*sqrt(2) + 10)^(1/4) - (x^4 - x^3)^(1/4))/x) + 2*arctan((x^4 - x^3)^(1/4)/x) + log((x + (x^4 - x^3)^(1/4))/x) - log(-(x - (x^4 - x^3)^(1/4))/x)","B",0
1166,1,214,0,0.485231," ","integrate(x^6/(a*x^4-b)^(3/4),x, algorithm=""fricas"")","\frac{4 \, {\left(a x^{4} - b\right)}^{\frac{1}{4}} x^{3} - 12 \, a \left(\frac{b^{4}}{a^{7}}\right)^{\frac{1}{4}} \arctan\left(\frac{a^{5} x \sqrt{\frac{a^{4} x^{2} \sqrt{\frac{b^{4}}{a^{7}}} + \sqrt{a x^{4} - b} b^{2}}{x^{2}}} \left(\frac{b^{4}}{a^{7}}\right)^{\frac{3}{4}} - {\left(a x^{4} - b\right)}^{\frac{1}{4}} a^{5} b \left(\frac{b^{4}}{a^{7}}\right)^{\frac{3}{4}}}{b^{4} x}\right) + 3 \, a \left(\frac{b^{4}}{a^{7}}\right)^{\frac{1}{4}} \log\left(\frac{3 \, {\left(a^{2} x \left(\frac{b^{4}}{a^{7}}\right)^{\frac{1}{4}} + {\left(a x^{4} - b\right)}^{\frac{1}{4}} b\right)}}{x}\right) - 3 \, a \left(\frac{b^{4}}{a^{7}}\right)^{\frac{1}{4}} \log\left(-\frac{3 \, {\left(a^{2} x \left(\frac{b^{4}}{a^{7}}\right)^{\frac{1}{4}} - {\left(a x^{4} - b\right)}^{\frac{1}{4}} b\right)}}{x}\right)}{16 \, a}"," ",0,"1/16*(4*(a*x^4 - b)^(1/4)*x^3 - 12*a*(b^4/a^7)^(1/4)*arctan((a^5*x*sqrt((a^4*x^2*sqrt(b^4/a^7) + sqrt(a*x^4 - b)*b^2)/x^2)*(b^4/a^7)^(3/4) - (a*x^4 - b)^(1/4)*a^5*b*(b^4/a^7)^(3/4))/(b^4*x)) + 3*a*(b^4/a^7)^(1/4)*log(3*(a^2*x*(b^4/a^7)^(1/4) + (a*x^4 - b)^(1/4)*b)/x) - 3*a*(b^4/a^7)^(1/4)*log(-3*(a^2*x*(b^4/a^7)^(1/4) - (a*x^4 - b)^(1/4)*b)/x))/a","B",0
1167,-1,0,0,0.000000," ","integrate((a*x^4-b)*(a*x^4+b)^(1/4)/x^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1168,-2,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^3+2)/x^6/(x^6-2*x^3-4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1169,-2,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^3+2)/x^6/(x^6-2*x^3-4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1170,-2,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6-2*x^3+4)/x^6/(x^6+4*x^3-8),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1171,-2,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6-2*x^3+4)/x^6/(x^6+4*x^3-8),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1172,-2,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6-2*x^3+2)/x^6/(x^6+4*x^3-4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1173,-2,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6-2*x^3+2)/x^6/(x^6+4*x^3-4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1174,1,1163,0,16.999325," ","integrate((x^4+2)/(x^4-1)^(1/4)/(x^8-2),x, algorithm=""fricas"")","\frac{1}{8} \, \sqrt{2} {\left(41 \, \sqrt{2} + 58\right)}^{\frac{1}{4}} \arctan\left(-\frac{{\left(196 \, {\left(17 \, x^{5} - \sqrt{2} {\left(12 \, x^{5} - 17 \, x\right)} - 24 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{41 \, \sqrt{2} + 58} + \sqrt{2} {\left(2 \, {\left(8 \, x^{6} - 18 \, x^{2} - \sqrt{2} {\left(9 \, x^{6} - 8 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} + {\left(163 \, x^{8} - 292 \, x^{4} - 2 \, \sqrt{2} {\left(58 \, x^{8} - 103 \, x^{4} + 30\right)} + 86\right)} \sqrt{41 \, \sqrt{2} + 58}\right)} \sqrt{-{\left(782 \, \sqrt{2} - 1107\right)} \sqrt{41 \, \sqrt{2} + 58}} + 196 \, {\left(3 \, x^{7} - 4 \, x^{3} - \sqrt{2} {\left(2 \, x^{7} - 3 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} {\left(41 \, \sqrt{2} + 58\right)}^{\frac{1}{4}}}{98 \, {\left(x^{8} - 2\right)}}\right) + \frac{1}{8} \, \sqrt{2} {\left(-41 \, \sqrt{2} + 58\right)}^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(2 \, {\left(8 \, x^{6} - 18 \, x^{2} + \sqrt{2} {\left(9 \, x^{6} - 8 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} + {\left(163 \, x^{8} - 292 \, x^{4} + 2 \, \sqrt{2} {\left(58 \, x^{8} - 103 \, x^{4} + 30\right)} + 86\right)} \sqrt{-41 \, \sqrt{2} + 58}\right)} \sqrt{{\left(782 \, \sqrt{2} + 1107\right)} \sqrt{-41 \, \sqrt{2} + 58}} {\left(-41 \, \sqrt{2} + 58\right)}^{\frac{1}{4}} + 196 \, {\left({\left(17 \, x^{5} + \sqrt{2} {\left(12 \, x^{5} - 17 \, x\right)} - 24 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{-41 \, \sqrt{2} + 58} + {\left(3 \, x^{7} - 4 \, x^{3} + \sqrt{2} {\left(2 \, x^{7} - 3 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} {\left(-41 \, \sqrt{2} + 58\right)}^{\frac{1}{4}}}{98 \, {\left(x^{8} - 2\right)}}\right) - \frac{1}{32} \, \sqrt{2} {\left(-41 \, \sqrt{2} + 58\right)}^{\frac{1}{4}} \log\left(\frac{4 \, {\left(11 \, x^{5} + \sqrt{2} {\left(6 \, x^{5} - 11 \, x\right)} - 12 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + 2 \, {\left(194 \, x^{7} - 274 \, x^{3} + \sqrt{2} {\left(137 \, x^{7} - 194 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} \sqrt{-41 \, \sqrt{2} + 58} + {\left(126 \, x^{8} - 228 \, x^{4} + 2 \, {\left(468 \, x^{6} - 662 \, x^{2} + \sqrt{2} {\left(331 \, x^{6} - 468 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} \sqrt{-41 \, \sqrt{2} + 58} + \sqrt{2} {\left(91 \, x^{8} - 160 \, x^{4} + 46\right)} + 68\right)} {\left(-41 \, \sqrt{2} + 58\right)}^{\frac{1}{4}}}{x^{8} - 2}\right) + \frac{1}{32} \, \sqrt{2} {\left(-41 \, \sqrt{2} + 58\right)}^{\frac{1}{4}} \log\left(\frac{4 \, {\left(11 \, x^{5} + \sqrt{2} {\left(6 \, x^{5} - 11 \, x\right)} - 12 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + 2 \, {\left(194 \, x^{7} - 274 \, x^{3} + \sqrt{2} {\left(137 \, x^{7} - 194 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} \sqrt{-41 \, \sqrt{2} + 58} - {\left(126 \, x^{8} - 228 \, x^{4} + 2 \, {\left(468 \, x^{6} - 662 \, x^{2} + \sqrt{2} {\left(331 \, x^{6} - 468 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} \sqrt{-41 \, \sqrt{2} + 58} + \sqrt{2} {\left(91 \, x^{8} - 160 \, x^{4} + 46\right)} + 68\right)} {\left(-41 \, \sqrt{2} + 58\right)}^{\frac{1}{4}}}{x^{8} - 2}\right) + \frac{1}{32} \, \sqrt{2} {\left(41 \, \sqrt{2} + 58\right)}^{\frac{1}{4}} \log\left(\frac{4 \, {\left(11 \, x^{5} - \sqrt{2} {\left(6 \, x^{5} - 11 \, x\right)} - 12 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + 2 \, {\left(194 \, x^{7} - 274 \, x^{3} - \sqrt{2} {\left(137 \, x^{7} - 194 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} \sqrt{41 \, \sqrt{2} + 58} + {\left(126 \, x^{8} - 228 \, x^{4} + 2 \, {\left(468 \, x^{6} - 662 \, x^{2} - \sqrt{2} {\left(331 \, x^{6} - 468 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} \sqrt{41 \, \sqrt{2} + 58} - \sqrt{2} {\left(91 \, x^{8} - 160 \, x^{4} + 46\right)} + 68\right)} {\left(41 \, \sqrt{2} + 58\right)}^{\frac{1}{4}}}{x^{8} - 2}\right) - \frac{1}{32} \, \sqrt{2} {\left(41 \, \sqrt{2} + 58\right)}^{\frac{1}{4}} \log\left(\frac{4 \, {\left(11 \, x^{5} - \sqrt{2} {\left(6 \, x^{5} - 11 \, x\right)} - 12 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + 2 \, {\left(194 \, x^{7} - 274 \, x^{3} - \sqrt{2} {\left(137 \, x^{7} - 194 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} \sqrt{41 \, \sqrt{2} + 58} - {\left(126 \, x^{8} - 228 \, x^{4} + 2 \, {\left(468 \, x^{6} - 662 \, x^{2} - \sqrt{2} {\left(331 \, x^{6} - 468 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} \sqrt{41 \, \sqrt{2} + 58} - \sqrt{2} {\left(91 \, x^{8} - 160 \, x^{4} + 46\right)} + 68\right)} {\left(41 \, \sqrt{2} + 58\right)}^{\frac{1}{4}}}{x^{8} - 2}\right)"," ",0,"1/8*sqrt(2)*(41*sqrt(2) + 58)^(1/4)*arctan(-1/98*(196*(17*x^5 - sqrt(2)*(12*x^5 - 17*x) - 24*x)*(x^4 - 1)^(3/4)*sqrt(41*sqrt(2) + 58) + sqrt(2)*(2*(8*x^6 - 18*x^2 - sqrt(2)*(9*x^6 - 8*x^2))*sqrt(x^4 - 1) + (163*x^8 - 292*x^4 - 2*sqrt(2)*(58*x^8 - 103*x^4 + 30) + 86)*sqrt(41*sqrt(2) + 58))*sqrt(-(782*sqrt(2) - 1107)*sqrt(41*sqrt(2) + 58)) + 196*(3*x^7 - 4*x^3 - sqrt(2)*(2*x^7 - 3*x^3))*(x^4 - 1)^(1/4))*(41*sqrt(2) + 58)^(1/4)/(x^8 - 2)) + 1/8*sqrt(2)*(-41*sqrt(2) + 58)^(1/4)*arctan(1/98*(sqrt(2)*(2*(8*x^6 - 18*x^2 + sqrt(2)*(9*x^6 - 8*x^2))*sqrt(x^4 - 1) + (163*x^8 - 292*x^4 + 2*sqrt(2)*(58*x^8 - 103*x^4 + 30) + 86)*sqrt(-41*sqrt(2) + 58))*sqrt((782*sqrt(2) + 1107)*sqrt(-41*sqrt(2) + 58))*(-41*sqrt(2) + 58)^(1/4) + 196*((17*x^5 + sqrt(2)*(12*x^5 - 17*x) - 24*x)*(x^4 - 1)^(3/4)*sqrt(-41*sqrt(2) + 58) + (3*x^7 - 4*x^3 + sqrt(2)*(2*x^7 - 3*x^3))*(x^4 - 1)^(1/4))*(-41*sqrt(2) + 58)^(1/4))/(x^8 - 2)) - 1/32*sqrt(2)*(-41*sqrt(2) + 58)^(1/4)*log((4*(11*x^5 + sqrt(2)*(6*x^5 - 11*x) - 12*x)*(x^4 - 1)^(3/4) + 2*(194*x^7 - 274*x^3 + sqrt(2)*(137*x^7 - 194*x^3))*(x^4 - 1)^(1/4)*sqrt(-41*sqrt(2) + 58) + (126*x^8 - 228*x^4 + 2*(468*x^6 - 662*x^2 + sqrt(2)*(331*x^6 - 468*x^2))*sqrt(x^4 - 1)*sqrt(-41*sqrt(2) + 58) + sqrt(2)*(91*x^8 - 160*x^4 + 46) + 68)*(-41*sqrt(2) + 58)^(1/4))/(x^8 - 2)) + 1/32*sqrt(2)*(-41*sqrt(2) + 58)^(1/4)*log((4*(11*x^5 + sqrt(2)*(6*x^5 - 11*x) - 12*x)*(x^4 - 1)^(3/4) + 2*(194*x^7 - 274*x^3 + sqrt(2)*(137*x^7 - 194*x^3))*(x^4 - 1)^(1/4)*sqrt(-41*sqrt(2) + 58) - (126*x^8 - 228*x^4 + 2*(468*x^6 - 662*x^2 + sqrt(2)*(331*x^6 - 468*x^2))*sqrt(x^4 - 1)*sqrt(-41*sqrt(2) + 58) + sqrt(2)*(91*x^8 - 160*x^4 + 46) + 68)*(-41*sqrt(2) + 58)^(1/4))/(x^8 - 2)) + 1/32*sqrt(2)*(41*sqrt(2) + 58)^(1/4)*log((4*(11*x^5 - sqrt(2)*(6*x^5 - 11*x) - 12*x)*(x^4 - 1)^(3/4) + 2*(194*x^7 - 274*x^3 - sqrt(2)*(137*x^7 - 194*x^3))*(x^4 - 1)^(1/4)*sqrt(41*sqrt(2) + 58) + (126*x^8 - 228*x^4 + 2*(468*x^6 - 662*x^2 - sqrt(2)*(331*x^6 - 468*x^2))*sqrt(x^4 - 1)*sqrt(41*sqrt(2) + 58) - sqrt(2)*(91*x^8 - 160*x^4 + 46) + 68)*(41*sqrt(2) + 58)^(1/4))/(x^8 - 2)) - 1/32*sqrt(2)*(41*sqrt(2) + 58)^(1/4)*log((4*(11*x^5 - sqrt(2)*(6*x^5 - 11*x) - 12*x)*(x^4 - 1)^(3/4) + 2*(194*x^7 - 274*x^3 - sqrt(2)*(137*x^7 - 194*x^3))*(x^4 - 1)^(1/4)*sqrt(41*sqrt(2) + 58) - (126*x^8 - 228*x^4 + 2*(468*x^6 - 662*x^2 - sqrt(2)*(331*x^6 - 468*x^2))*sqrt(x^4 - 1)*sqrt(41*sqrt(2) + 58) - sqrt(2)*(91*x^8 - 160*x^4 + 46) + 68)*(41*sqrt(2) + 58)^(1/4))/(x^8 - 2))","B",0
1175,-1,0,0,0.000000," ","integrate((a*x^8-b)/x^6/(a*x^4+b)^(3/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1176,1,132,0,2.121959," ","integrate(x^(1/2)/(-1+x)/(-x^(1/2)+x)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(x - 1\right)} \log\left(-\frac{17 \, x^{2} - 4 \, {\left(\sqrt{2} {\left(3 \, x + 5\right)} \sqrt{x} - \sqrt{2} {\left(7 \, x + 1\right)}\right)} \sqrt{x - \sqrt{x}} - 16 \, {\left(3 \, x + 1\right)} \sqrt{x} + 46 \, x + 1}{x^{2} - 2 \, x + 1}\right) + 4 \, {\left(x - 1\right)} \log\left(-4 \, \sqrt{x - \sqrt{x}} {\left(2 \, \sqrt{x} - 1\right)} - 8 \, x + 8 \, \sqrt{x} - 1\right) - 8 \, \sqrt{x - \sqrt{x}} {\left(\sqrt{x} + 1\right)}}{4 \, {\left(x - 1\right)}}"," ",0,"1/4*(sqrt(2)*(x - 1)*log(-(17*x^2 - 4*(sqrt(2)*(3*x + 5)*sqrt(x) - sqrt(2)*(7*x + 1))*sqrt(x - sqrt(x)) - 16*(3*x + 1)*sqrt(x) + 46*x + 1)/(x^2 - 2*x + 1)) + 4*(x - 1)*log(-4*sqrt(x - sqrt(x))*(2*sqrt(x) - 1) - 8*x + 8*sqrt(x) - 1) - 8*sqrt(x - sqrt(x))*(sqrt(x) + 1))/(x - 1)","B",0
1177,1,78,0,0.552754," ","integrate(1/x^3/(x^2+1)^(2/3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{2} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{2} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) + x^{2} \log\left({\left(x^{2} + 1\right)}^{\frac{2}{3}} + {\left(x^{2} + 1\right)}^{\frac{1}{3}} + 1\right) - 2 \, x^{2} \log\left({\left(x^{2} + 1\right)}^{\frac{1}{3}} - 1\right) - 3 \, {\left(x^{2} + 1\right)}^{\frac{1}{3}}}{6 \, x^{2}}"," ",0,"1/6*(2*sqrt(3)*x^2*arctan(2/3*sqrt(3)*(x^2 + 1)^(1/3) + 1/3*sqrt(3)) + x^2*log((x^2 + 1)^(2/3) + (x^2 + 1)^(1/3) + 1) - 2*x^2*log((x^2 + 1)^(1/3) - 1) - 3*(x^2 + 1)^(1/3))/x^2","A",0
1178,1,79,0,0.628613," ","integrate((x^2+1)^(2/3)/x^3,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{2} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{2} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) - x^{2} \log\left({\left(x^{2} + 1\right)}^{\frac{2}{3}} + {\left(x^{2} + 1\right)}^{\frac{1}{3}} + 1\right) + 2 \, x^{2} \log\left({\left(x^{2} + 1\right)}^{\frac{1}{3}} - 1\right) - 3 \, {\left(x^{2} + 1\right)}^{\frac{2}{3}}}{6 \, x^{2}}"," ",0,"1/6*(2*sqrt(3)*x^2*arctan(2/3*sqrt(3)*(x^2 + 1)^(1/3) + 1/3*sqrt(3)) - x^2*log((x^2 + 1)^(2/3) + (x^2 + 1)^(1/3) + 1) + 2*x^2*log((x^2 + 1)^(1/3) - 1) - 3*(x^2 + 1)^(2/3))/x^2","A",0
1179,1,65,0,0.649431," ","integrate((x^2+1)^(2/3)/x,x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{2} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) + \frac{3}{4} \, {\left(x^{2} + 1\right)}^{\frac{2}{3}} - \frac{1}{4} \, \log\left({\left(x^{2} + 1\right)}^{\frac{2}{3}} + {\left(x^{2} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{2} \, \log\left({\left(x^{2} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"1/2*sqrt(3)*arctan(2/3*sqrt(3)*(x^2 + 1)^(1/3) + 1/3*sqrt(3)) + 3/4*(x^2 + 1)^(2/3) - 1/4*log((x^2 + 1)^(2/3) + (x^2 + 1)^(1/3) + 1) + 1/2*log((x^2 + 1)^(1/3) - 1)","A",0
1180,1,168,0,0.840298," ","integrate((3+4*x)*(-2*x^4+2*x^2+x)^(1/2)/(1+2*x)/(x^3+2*x+1),x, algorithm=""fricas"")","\frac{2}{5} \, \sqrt{2} \arctan\left(\frac{2 \, \sqrt{2} \sqrt{-2 \, x^{4} + 2 \, x^{2} + x} {\left(4 \, x^{3} - 4 \, x^{2} - x + 1\right)}}{16 \, x^{5} - 16 \, x^{4} - 12 \, x^{3} + 8 \, x^{2} + 4 \, x - 1}\right) - \frac{1}{5} \, \sqrt{2} \arctan\left(\frac{2 \, \sqrt{2} \sqrt{-2 \, x^{4} + 2 \, x^{2} + x} {\left(4 \, x^{2} + 5 \, x + 2\right)}}{32 \, x^{5} + 80 \, x^{4} + 84 \, x^{3} + 40 \, x^{2} + 6 \, x - 1}\right) - \sqrt{3} \arctan\left(\frac{2 \, \sqrt{3} \sqrt{-2 \, x^{4} + 2 \, x^{2} + x} x}{5 \, x^{3} - 2 \, x - 1}\right)"," ",0,"2/5*sqrt(2)*arctan(2*sqrt(2)*sqrt(-2*x^4 + 2*x^2 + x)*(4*x^3 - 4*x^2 - x + 1)/(16*x^5 - 16*x^4 - 12*x^3 + 8*x^2 + 4*x - 1)) - 1/5*sqrt(2)*arctan(2*sqrt(2)*sqrt(-2*x^4 + 2*x^2 + x)*(4*x^2 + 5*x + 2)/(32*x^5 + 80*x^4 + 84*x^3 + 40*x^2 + 6*x - 1)) - sqrt(3)*arctan(2*sqrt(3)*sqrt(-2*x^4 + 2*x^2 + x)*x/(5*x^3 - 2*x - 1))","B",0
1181,1,65,0,0.628756," ","integrate((x^4+1)^(2/3)/x,x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{4} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) + \frac{3}{8} \, {\left(x^{4} + 1\right)}^{\frac{2}{3}} - \frac{1}{8} \, \log\left({\left(x^{4} + 1\right)}^{\frac{2}{3}} + {\left(x^{4} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{4} \, \log\left({\left(x^{4} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"1/4*sqrt(3)*arctan(2/3*sqrt(3)*(x^4 + 1)^(1/3) + 1/3*sqrt(3)) + 3/8*(x^4 + 1)^(2/3) - 1/8*log((x^4 + 1)^(2/3) + (x^4 + 1)^(1/3) + 1) + 1/4*log((x^4 + 1)^(1/3) - 1)","A",0
1182,1,132,0,4.051089," ","integrate((x^4-1)^(1/3)*(x^4+3)/x^2/(x^4-x^3-1),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x \arctan\left(-\frac{14106128635054532 \, \sqrt{3} {\left(x^{4} - 1\right)}^{\frac{1}{3}} x^{2} - 89654043956484782 \, \sqrt{3} {\left(x^{4} - 1\right)}^{\frac{2}{3}} x - \sqrt{3} {\left(35416555940707109 \, x^{4} + 2357401720008016 \, x^{3} - 35416555940707109\right)}}{3 \, {\left(51678794422160641 \, x^{4} + 201291873609016 \, x^{3} - 51678794422160641\right)}}\right) + x \log\left(\frac{x^{4} - x^{3} + 3 \, {\left(x^{4} - 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{4} - 1\right)}^{\frac{2}{3}} x - 1}{x^{4} - x^{3} - 1}\right) + 6 \, {\left(x^{4} - 1\right)}^{\frac{1}{3}}}{2 \, x}"," ",0,"1/2*(2*sqrt(3)*x*arctan(-1/3*(14106128635054532*sqrt(3)*(x^4 - 1)^(1/3)*x^2 - 89654043956484782*sqrt(3)*(x^4 - 1)^(2/3)*x - sqrt(3)*(35416555940707109*x^4 + 2357401720008016*x^3 - 35416555940707109))/(51678794422160641*x^4 + 201291873609016*x^3 - 51678794422160641)) + x*log((x^4 - x^3 + 3*(x^4 - 1)^(1/3)*x^2 - 3*(x^4 - 1)^(2/3)*x - 1)/(x^4 - x^3 - 1)) + 6*(x^4 - 1)^(1/3))/x","A",0
1183,1,189,0,0.542492," ","integrate(x^2*(x^3+4)/(x^3+1)^(3/4)/(x^4+x^3+1),x, algorithm=""fricas"")","2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} x \sqrt{\frac{x^{2} + \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{1}{4}} x + \sqrt{x^{3} + 1}}{x^{2}}} - x - \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{1}{4}}}{x}\right) + 2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} x \sqrt{\frac{x^{2} - \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{1}{4}} x + \sqrt{x^{3} + 1}}{x^{2}}} + x - \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{2} + \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{1}{4}} x + \sqrt{x^{3} + 1}\right)}}{x^{2}}\right) + \frac{1}{2} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{2} - \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{1}{4}} x + \sqrt{x^{3} + 1}\right)}}{x^{2}}\right)"," ",0,"2*sqrt(2)*arctan((sqrt(2)*x*sqrt((x^2 + sqrt(2)*(x^3 + 1)^(1/4)*x + sqrt(x^3 + 1))/x^2) - x - sqrt(2)*(x^3 + 1)^(1/4))/x) + 2*sqrt(2)*arctan((sqrt(2)*x*sqrt((x^2 - sqrt(2)*(x^3 + 1)^(1/4)*x + sqrt(x^3 + 1))/x^2) + x - sqrt(2)*(x^3 + 1)^(1/4))/x) - 1/2*sqrt(2)*log(4*(x^2 + sqrt(2)*(x^3 + 1)^(1/4)*x + sqrt(x^3 + 1))/x^2) + 1/2*sqrt(2)*log(4*(x^2 - sqrt(2)*(x^3 + 1)^(1/4)*x + sqrt(x^3 + 1))/x^2)","B",0
1184,-1,0,0,0.000000," ","integrate(x^2/(a*x^4-b)^(3/4)/(a*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1185,1,431,0,172.648030," ","integrate(1/(a*x^4-b)^(1/4)/(a*x^4+b),x, algorithm=""fricas"")","-\frac{1}{2} \, \left(\frac{1}{2}\right)^{\frac{1}{4}} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}} \arctan\left(\frac{2 \, {\left(2 \, \left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(a x^{4} - b\right)}^{\frac{3}{4}} a b^{3} x \left(\frac{1}{a b^{4}}\right)^{\frac{3}{4}} + 2 \, \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(a x^{4} - b\right)}^{\frac{1}{4}} a b x^{3} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}} + {\left(2 \, \left(\frac{1}{2}\right)^{\frac{1}{4}} \sqrt{a x^{4} - b} a b x^{2} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}} + \left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(3 \, a^{2} b^{3} x^{4} - a b^{4}\right)} \left(\frac{1}{a b^{4}}\right)^{\frac{3}{4}}\right)} \sqrt{\sqrt{\frac{1}{2}} b^{2} \sqrt{\frac{1}{a b^{4}}}}\right)}}{a x^{4} + b}\right) + \frac{1}{8} \, \left(\frac{1}{2}\right)^{\frac{1}{4}} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}} \log\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{3}{4}} \sqrt{a x^{4} - b} a b^{3} x^{2} \left(\frac{1}{a b^{4}}\right)^{\frac{3}{4}} + 4 \, \sqrt{\frac{1}{2}} {\left(a x^{4} - b\right)}^{\frac{1}{4}} a b^{2} x^{3} \sqrt{\frac{1}{a b^{4}}} + 2 \, {\left(a x^{4} - b\right)}^{\frac{3}{4}} x + \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(3 \, a b x^{4} - b^{2}\right)} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}}}{2 \, {\left(a x^{4} + b\right)}}\right) - \frac{1}{8} \, \left(\frac{1}{2}\right)^{\frac{1}{4}} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}} \log\left(-\frac{4 \, \left(\frac{1}{2}\right)^{\frac{3}{4}} \sqrt{a x^{4} - b} a b^{3} x^{2} \left(\frac{1}{a b^{4}}\right)^{\frac{3}{4}} - 4 \, \sqrt{\frac{1}{2}} {\left(a x^{4} - b\right)}^{\frac{1}{4}} a b^{2} x^{3} \sqrt{\frac{1}{a b^{4}}} - 2 \, {\left(a x^{4} - b\right)}^{\frac{3}{4}} x + \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(3 \, a b x^{4} - b^{2}\right)} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}}}{2 \, {\left(a x^{4} + b\right)}}\right)"," ",0,"-1/2*(1/2)^(1/4)*(1/(a*b^4))^(1/4)*arctan(2*(2*(1/2)^(3/4)*(a*x^4 - b)^(3/4)*a*b^3*x*(1/(a*b^4))^(3/4) + 2*(1/2)^(1/4)*(a*x^4 - b)^(1/4)*a*b*x^3*(1/(a*b^4))^(1/4) + (2*(1/2)^(1/4)*sqrt(a*x^4 - b)*a*b*x^2*(1/(a*b^4))^(1/4) + (1/2)^(3/4)*(3*a^2*b^3*x^4 - a*b^4)*(1/(a*b^4))^(3/4))*sqrt(sqrt(1/2)*b^2*sqrt(1/(a*b^4))))/(a*x^4 + b)) + 1/8*(1/2)^(1/4)*(1/(a*b^4))^(1/4)*log(1/2*(4*(1/2)^(3/4)*sqrt(a*x^4 - b)*a*b^3*x^2*(1/(a*b^4))^(3/4) + 4*sqrt(1/2)*(a*x^4 - b)^(1/4)*a*b^2*x^3*sqrt(1/(a*b^4)) + 2*(a*x^4 - b)^(3/4)*x + (1/2)^(1/4)*(3*a*b*x^4 - b^2)*(1/(a*b^4))^(1/4))/(a*x^4 + b)) - 1/8*(1/2)^(1/4)*(1/(a*b^4))^(1/4)*log(-1/2*(4*(1/2)^(3/4)*sqrt(a*x^4 - b)*a*b^3*x^2*(1/(a*b^4))^(3/4) - 4*sqrt(1/2)*(a*x^4 - b)^(1/4)*a*b^2*x^3*sqrt(1/(a*b^4)) - 2*(a*x^4 - b)^(3/4)*x + (1/2)^(1/4)*(3*a*b*x^4 - b^2)*(1/(a*b^4))^(1/4))/(a*x^4 + b))","B",0
1186,1,340,0,1.567517," ","integrate((-a^2*b+a*(2*a+b)*x-3*a*x^2+x^3)/(x*(-a+x)*(-b+x))^(1/2)/(-a^2+2*a*x+(b^2*d-1)*x^2-2*b*d*x^3+d*x^4),x, algorithm=""fricas"")","\frac{\arctan\left(-\frac{\sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}}}{{\left(b x - x^{2}\right)} d^{\frac{1}{4}}}\right)}{d^{\frac{1}{4}}} - \frac{\log\left(\frac{2 \, b d x^{3} - d x^{4} - {\left(b^{2} d + 1\right)} x^{2} - a^{2} + 2 \, a x + 2 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left(\frac{b d x - d x^{2}}{d^{\frac{1}{4}}} + \frac{a d - d x}{d^{\frac{3}{4}}}\right)} - \frac{2 \, {\left(a b d x - {\left(a + b\right)} d x^{2} + d x^{3}\right)}}{\sqrt{d}}}{2 \, b d x^{3} - d x^{4} - {\left(b^{2} d - 1\right)} x^{2} + a^{2} - 2 \, a x}\right)}{4 \, d^{\frac{1}{4}}} + \frac{\log\left(\frac{2 \, b d x^{3} - d x^{4} - {\left(b^{2} d + 1\right)} x^{2} - a^{2} + 2 \, a x - 2 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left(\frac{b d x - d x^{2}}{d^{\frac{1}{4}}} + \frac{a d - d x}{d^{\frac{3}{4}}}\right)} - \frac{2 \, {\left(a b d x - {\left(a + b\right)} d x^{2} + d x^{3}\right)}}{\sqrt{d}}}{2 \, b d x^{3} - d x^{4} - {\left(b^{2} d - 1\right)} x^{2} + a^{2} - 2 \, a x}\right)}{4 \, d^{\frac{1}{4}}}"," ",0,"arctan(-sqrt(a*b*x - (a + b)*x^2 + x^3)/((b*x - x^2)*d^(1/4)))/d^(1/4) - 1/4*log((2*b*d*x^3 - d*x^4 - (b^2*d + 1)*x^2 - a^2 + 2*a*x + 2*sqrt(a*b*x - (a + b)*x^2 + x^3)*((b*d*x - d*x^2)/d^(1/4) + (a*d - d*x)/d^(3/4)) - 2*(a*b*d*x - (a + b)*d*x^2 + d*x^3)/sqrt(d))/(2*b*d*x^3 - d*x^4 - (b^2*d - 1)*x^2 + a^2 - 2*a*x))/d^(1/4) + 1/4*log((2*b*d*x^3 - d*x^4 - (b^2*d + 1)*x^2 - a^2 + 2*a*x - 2*sqrt(a*b*x - (a + b)*x^2 + x^3)*((b*d*x - d*x^2)/d^(1/4) + (a*d - d*x)/d^(3/4)) - 2*(a*b*d*x - (a + b)*d*x^2 + d*x^3)/sqrt(d))/(2*b*d*x^3 - d*x^4 - (b^2*d - 1)*x^2 + a^2 - 2*a*x))/d^(1/4)","B",0
1187,1,80,0,0.559093," ","integrate((k^2*x^4+1)/((-x^2+1)*(-k^2*x^2+1))^(1/2)/(k^2*x^4-1),x, algorithm=""fricas"")","\frac{{\left(k - 1\right)} \arctan\left(\frac{\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1}}{{\left(k + 1\right)} x}\right) + {\left(k + 1\right)} \arctan\left(\frac{\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1}}{{\left(k - 1\right)} x}\right)}{2 \, {\left(k^{2} - 1\right)}}"," ",0,"1/2*((k - 1)*arctan(sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)/((k + 1)*x)) + (k + 1)*arctan(sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)/((k - 1)*x)))/(k^2 - 1)","A",0
1188,-2,0,0,0.000000," ","integrate(x*(k*x-1)*(-1+(-1+2*k)*x)/((1-x)*x*(-k*x+1))^(1/3)/(-1+(4-c)*x+(c*k+b+2*c-6)*x^2+(-2*b*k-2*c*k-c+4)*x^3+(b*k^2+c*k-1)*x^4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1189,1,65,0,0.439509," ","integrate((x^5+1)^(2/3)/x,x, algorithm=""fricas"")","\frac{1}{5} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{5} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) + \frac{3}{10} \, {\left(x^{5} + 1\right)}^{\frac{2}{3}} - \frac{1}{10} \, \log\left({\left(x^{5} + 1\right)}^{\frac{2}{3}} + {\left(x^{5} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{5} \, \log\left({\left(x^{5} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"1/5*sqrt(3)*arctan(2/3*sqrt(3)*(x^5 + 1)^(1/3) + 1/3*sqrt(3)) + 3/10*(x^5 + 1)^(2/3) - 1/10*log((x^5 + 1)^(2/3) + (x^5 + 1)^(1/3) + 1) + 1/5*log((x^5 + 1)^(1/3) - 1)","A",0
1190,1,65,0,0.448991," ","integrate((x^6+1)^(2/3)/x,x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{6} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) + \frac{1}{4} \, {\left(x^{6} + 1\right)}^{\frac{2}{3}} - \frac{1}{12} \, \log\left({\left(x^{6} + 1\right)}^{\frac{2}{3}} + {\left(x^{6} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{6} \, \log\left({\left(x^{6} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"1/6*sqrt(3)*arctan(2/3*sqrt(3)*(x^6 + 1)^(1/3) + 1/3*sqrt(3)) + 1/4*(x^6 + 1)^(2/3) - 1/12*log((x^6 + 1)^(2/3) + (x^6 + 1)^(1/3) + 1) + 1/6*log((x^6 + 1)^(1/3) - 1)","A",0
1191,1,184,0,0.640974," ","integrate((2*x^4-x^2+1)*(-x^6-x^4-x^2+1)^(1/2)/(x^2-1)/(x^2+1)/(x^6+x^4-1),x, algorithm=""fricas"")","-\frac{1}{10} \, \sqrt{2} \arctan\left(\frac{2 \, \sqrt{2} {\left(6 \, x^{7} + x^{5} - 4 \, x^{3} + x\right)} \sqrt{-x^{6} - x^{4} - x^{2} + 1}}{17 \, x^{10} + 11 \, x^{8} - 2 \, x^{6} - 18 \, x^{4} + 9 \, x^{2} - 1}\right) + \frac{1}{5} \, \sqrt{2} \arctan\left(\frac{2 \, \sqrt{2} {\left(x^{7} + x^{3} - 2 \, x\right)} \sqrt{-x^{6} - x^{4} - x^{2} + 1}}{3 \, x^{10} + 3 \, x^{8} + 10 \, x^{6} + 6 \, x^{4} + 11 \, x^{2} - 1}\right) + \frac{1}{2} \, \arctan\left(\frac{2 \, \sqrt{-x^{6} - x^{4} - x^{2} + 1} x}{x^{6} + x^{4} + 2 \, x^{2} - 1}\right)"," ",0,"-1/10*sqrt(2)*arctan(2*sqrt(2)*(6*x^7 + x^5 - 4*x^3 + x)*sqrt(-x^6 - x^4 - x^2 + 1)/(17*x^10 + 11*x^8 - 2*x^6 - 18*x^4 + 9*x^2 - 1)) + 1/5*sqrt(2)*arctan(2*sqrt(2)*(x^7 + x^3 - 2*x)*sqrt(-x^6 - x^4 - x^2 + 1)/(3*x^10 + 3*x^8 + 10*x^6 + 6*x^4 + 11*x^2 - 1)) + 1/2*arctan(2*sqrt(-x^6 - x^4 - x^2 + 1)*x/(x^6 + x^4 + 2*x^2 - 1))","B",0
1192,1,131,0,39.148479," ","integrate((x^8-1)^(1/3)*(5*x^8+3)/x^2/(x^8-x^3-1),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x \arctan\left(-\frac{31069389038531798383012393094747362616575064091434751962020601837507558239516138425325377239789317495328857903057957141206059288722620160721093489516063746612973182 \, \sqrt{3} {\left(x^{8} - 1\right)}^{\frac{1}{3}} x^{2} - 24620142163963087452447726858369178030030967023250856622849105390649652817268567947362178503080085821866784600572345611200568455939022999883192079164797236311980480 \, \sqrt{3} {\left(x^{8} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(14098730908269987597917744450355902431760205999000820135495290627669890741173905802396636062023876418322337000958016148565005886294703209808664629857632230121011200 \, x^{8} - 10874107470985632132635411332166810138488157464908872465909542404240938030050120563415036693669260581591300349715210383562260469902904629389713924681998974970514849 \, x^{3} - 14098730908269987597917744450355902431760205999000820135495290627669890741173905802396636062023876418322337000958016148565005886294703209808664629857632230121011200\right)}}{3 \, {\left(9251742523290005295394971478800280999715753799405283223501747806428870154589708393514732281743754536574942347080177746431157381208775803010963333365470079627264000 \, x^{8} + 18593023077957437622335088497757989323587261757937521068933105807649735373802644792829045589690947122022878904734973629772156491122045777291179450974960411835212831 \, x^{3} - 9251742523290005295394971478800280999715753799405283223501747806428870154589708393514732281743754536574942347080177746431157381208775803010963333365470079627264000\right)}}\right) + x \log\left(\frac{x^{8} - x^{3} + 3 \, {\left(x^{8} - 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{8} - 1\right)}^{\frac{2}{3}} x - 1}{x^{8} - x^{3} - 1}\right) + 6 \, {\left(x^{8} - 1\right)}^{\frac{1}{3}}}{2 \, x}"," ",0,"1/2*(2*sqrt(3)*x*arctan(-1/3*(31069389038531798383012393094747362616575064091434751962020601837507558239516138425325377239789317495328857903057957141206059288722620160721093489516063746612973182*sqrt(3)*(x^8 - 1)^(1/3)*x^2 - 24620142163963087452447726858369178030030967023250856622849105390649652817268567947362178503080085821866784600572345611200568455939022999883192079164797236311980480*sqrt(3)*(x^8 - 1)^(2/3)*x + sqrt(3)*(14098730908269987597917744450355902431760205999000820135495290627669890741173905802396636062023876418322337000958016148565005886294703209808664629857632230121011200*x^8 - 10874107470985632132635411332166810138488157464908872465909542404240938030050120563415036693669260581591300349715210383562260469902904629389713924681998974970514849*x^3 - 14098730908269987597917744450355902431760205999000820135495290627669890741173905802396636062023876418322337000958016148565005886294703209808664629857632230121011200))/(9251742523290005295394971478800280999715753799405283223501747806428870154589708393514732281743754536574942347080177746431157381208775803010963333365470079627264000*x^8 + 18593023077957437622335088497757989323587261757937521068933105807649735373802644792829045589690947122022878904734973629772156491122045777291179450974960411835212831*x^3 - 9251742523290005295394971478800280999715753799405283223501747806428870154589708393514732281743754536574942347080177746431157381208775803010963333365470079627264000)) + x*log((x^8 - x^3 + 3*(x^8 - 1)^(1/3)*x^2 - 3*(x^8 - 1)^(2/3)*x - 1)/(x^8 - x^3 - 1)) + 6*(x^8 - 1)^(1/3))/x","A",0
1193,1,94,0,0.450129," ","integrate((x^8+2)*(x^16-2*x^8+4)^(1/2)/x^9,x, algorithm=""fricas"")","-\frac{2 \, x^{8} \log\left(2 \, x^{16} - 5 \, x^{8} - \sqrt{x^{16} - 2 \, x^{8} + 4} {\left(2 \, x^{8} - 3\right)} + 6\right) - 2 \, x^{8} \log\left(-x^{8} + \sqrt{x^{16} - 2 \, x^{8} + 4} - 2\right) + 5 \, x^{8} - 2 \, \sqrt{x^{16} - 2 \, x^{8} + 4} {\left(x^{8} - 2\right)}}{16 \, x^{8}}"," ",0,"-1/16*(2*x^8*log(2*x^16 - 5*x^8 - sqrt(x^16 - 2*x^8 + 4)*(2*x^8 - 3) + 6) - 2*x^8*log(-x^8 + sqrt(x^16 - 2*x^8 + 4) - 2) + 5*x^8 - 2*sqrt(x^16 - 2*x^8 + 4)*(x^8 - 2))/x^8","A",0
1194,1,93,0,1.243683," ","integrate((x+(1+x)^(1/2))^(1/2)/(1-(1+x)^(1/2)),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} + 5\right)} + \frac{7}{8} \, \log\left(4 \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} + 1\right)} - 8 \, x - 8 \, \sqrt{x + 1} - 5\right) + 2 \, \log\left(\frac{2 \, \sqrt{x + \sqrt{x + 1}} {\left(\sqrt{x + 1} + 1\right)} + 3 \, x + 2 \, \sqrt{x + 1} + 2}{x}\right)"," ",0,"-1/2*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) + 5) + 7/8*log(4*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) + 1) - 8*x - 8*sqrt(x + 1) - 5) + 2*log((2*sqrt(x + sqrt(x + 1))*(sqrt(x + 1) + 1) + 3*x + 2*sqrt(x + 1) + 2)/x)","A",0
1195,1,183,0,0.498510," ","integrate((c+(a*x+b)^(1/2))^(1/2)/(d-(a*x+b)^(1/2)),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(3 \, \sqrt{c + d} d \log\left(-\frac{2 \, c d + d^{2} + a x + 2 \, \sqrt{a x + b} {\left(c + d\right)} + 2 \, {\left(\sqrt{c + d} d + \sqrt{a x + b} \sqrt{c + d}\right)} \sqrt{c + \sqrt{a x + b}} + b}{d^{2} - a x - b}\right) - 2 \, {\left(c + 3 \, d + \sqrt{a x + b}\right)} \sqrt{c + \sqrt{a x + b}}\right)}}{3 \, a}, -\frac{4 \, {\left(3 \, \sqrt{-c - d} d \arctan\left(\frac{\sqrt{c + \sqrt{a x + b}} \sqrt{-c - d}}{c + d}\right) + {\left(c + 3 \, d + \sqrt{a x + b}\right)} \sqrt{c + \sqrt{a x + b}}\right)}}{3 \, a}\right]"," ",0,"[2/3*(3*sqrt(c + d)*d*log(-(2*c*d + d^2 + a*x + 2*sqrt(a*x + b)*(c + d) + 2*(sqrt(c + d)*d + sqrt(a*x + b)*sqrt(c + d))*sqrt(c + sqrt(a*x + b)) + b)/(d^2 - a*x - b)) - 2*(c + 3*d + sqrt(a*x + b))*sqrt(c + sqrt(a*x + b)))/a, -4/3*(3*sqrt(-c - d)*d*arctan(sqrt(c + sqrt(a*x + b))*sqrt(-c - d)/(c + d)) + (c + 3*d + sqrt(a*x + b))*sqrt(c + sqrt(a*x + b)))/a]","A",0
1196,1,70,0,0.515179," ","integrate((a*x^2+b^2)*(b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(5 \, a^{2} x^{4} + 12 \, a b^{2} x^{2} - 9 \, b^{4} + {\left(a b x^{2} + 9 \, b^{3}\right)} \sqrt{a x^{2} + b^{2}}\right)} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{35 \, a x}"," ",0,"2/35*(5*a^2*x^4 + 12*a*b^2*x^2 - 9*b^4 + (a*b*x^2 + 9*b^3)*sqrt(a*x^2 + b^2))*sqrt(b + sqrt(a*x^2 + b^2))/(a*x)","A",0
1197,-1,0,0,0.000000," ","integrate(1/(x+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1198,-1,0,0,0.000000," ","integrate(1/(x+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1199,1,70,0,0.451723," ","integrate(1/(-2+x)/(x^2-4*x-4)^(1/3),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(x^{2} - 4 \, x - 4\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) + \frac{1}{8} \, \log\left({\left(x^{2} - 4 \, x - 4\right)}^{\frac{2}{3}} - 2 \, {\left(x^{2} - 4 \, x - 4\right)}^{\frac{1}{3}} + 4\right) - \frac{1}{4} \, \log\left({\left(x^{2} - 4 \, x - 4\right)}^{\frac{1}{3}} + 2\right)"," ",0,"1/4*sqrt(3)*arctan(1/3*sqrt(3)*(x^2 - 4*x - 4)^(1/3) - 1/3*sqrt(3)) + 1/8*log((x^2 - 4*x - 4)^(2/3) - 2*(x^2 - 4*x - 4)^(1/3) + 4) - 1/4*log((x^2 - 4*x - 4)^(1/3) + 2)","A",0
1200,1,639,0,1.589735," ","integrate((k*x^2-1)/(b*x+a)/((1-x)*x*(-k*x+1))^(1/2)/(a*k*x+b),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a^{2} b^{2} - a b^{3} - {\left(a^{3} b + a^{2} b^{2}\right)} k} \log\left(\frac{a^{2} b^{2} k^{2} x^{4} + a^{2} b^{2} - 2 \, {\left({\left(3 \, a^{3} b + 4 \, a^{2} b^{2}\right)} k^{2} + {\left(4 \, a^{2} b^{2} + 3 \, a b^{3}\right)} k\right)} x^{3} + {\left(8 \, a^{2} b^{2} + 8 \, a b^{3} + b^{4} + {\left(a^{4} + 8 \, a^{3} b + 8 \, a^{2} b^{2}\right)} k^{2} + 4 \, {\left(2 \, a^{3} b + 5 \, a^{2} b^{2} + 2 \, a b^{3}\right)} k\right)} x^{2} - 4 \, {\left(a b k x^{2} + a b - {\left(2 \, a b + b^{2} + {\left(a^{2} + 2 \, a b\right)} k\right)} x\right)} \sqrt{-a^{2} b^{2} - a b^{3} - {\left(a^{3} b + a^{2} b^{2}\right)} k} \sqrt{k x^{3} - {\left(k + 1\right)} x^{2} + x} - 2 \, {\left(4 \, a^{2} b^{2} + 3 \, a b^{3} + {\left(3 \, a^{3} b + 4 \, a^{2} b^{2}\right)} k\right)} x}{a^{2} b^{2} k^{2} x^{4} + a^{2} b^{2} + 2 \, {\left(a^{3} b k^{2} + a b^{3} k\right)} x^{3} + {\left(a^{4} k^{2} + 4 \, a^{2} b^{2} k + b^{4}\right)} x^{2} + 2 \, {\left(a^{3} b k + a b^{3}\right)} x}\right)}{2 \, {\left(a^{2} b^{2} + a b^{3} + {\left(a^{3} b + a^{2} b^{2}\right)} k\right)}}, \frac{\arctan\left(\frac{{\left(a b k x^{2} + a b - {\left(2 \, a b + b^{2} + {\left(a^{2} + 2 \, a b\right)} k\right)} x\right)} \sqrt{a^{2} b^{2} + a b^{3} + {\left(a^{3} b + a^{2} b^{2}\right)} k} \sqrt{k x^{3} - {\left(k + 1\right)} x^{2} + x}}{2 \, {\left({\left({\left(a^{3} b + a^{2} b^{2}\right)} k^{2} + {\left(a^{2} b^{2} + a b^{3}\right)} k\right)} x^{3} - {\left(a^{2} b^{2} + a b^{3} + {\left(a^{3} b + a^{2} b^{2}\right)} k^{2} + {\left(a^{3} b + 2 \, a^{2} b^{2} + a b^{3}\right)} k\right)} x^{2} + {\left(a^{2} b^{2} + a b^{3} + {\left(a^{3} b + a^{2} b^{2}\right)} k\right)} x\right)}}\right)}{\sqrt{a^{2} b^{2} + a b^{3} + {\left(a^{3} b + a^{2} b^{2}\right)} k}}\right]"," ",0,"[-1/2*sqrt(-a^2*b^2 - a*b^3 - (a^3*b + a^2*b^2)*k)*log((a^2*b^2*k^2*x^4 + a^2*b^2 - 2*((3*a^3*b + 4*a^2*b^2)*k^2 + (4*a^2*b^2 + 3*a*b^3)*k)*x^3 + (8*a^2*b^2 + 8*a*b^3 + b^4 + (a^4 + 8*a^3*b + 8*a^2*b^2)*k^2 + 4*(2*a^3*b + 5*a^2*b^2 + 2*a*b^3)*k)*x^2 - 4*(a*b*k*x^2 + a*b - (2*a*b + b^2 + (a^2 + 2*a*b)*k)*x)*sqrt(-a^2*b^2 - a*b^3 - (a^3*b + a^2*b^2)*k)*sqrt(k*x^3 - (k + 1)*x^2 + x) - 2*(4*a^2*b^2 + 3*a*b^3 + (3*a^3*b + 4*a^2*b^2)*k)*x)/(a^2*b^2*k^2*x^4 + a^2*b^2 + 2*(a^3*b*k^2 + a*b^3*k)*x^3 + (a^4*k^2 + 4*a^2*b^2*k + b^4)*x^2 + 2*(a^3*b*k + a*b^3)*x))/(a^2*b^2 + a*b^3 + (a^3*b + a^2*b^2)*k), arctan(1/2*(a*b*k*x^2 + a*b - (2*a*b + b^2 + (a^2 + 2*a*b)*k)*x)*sqrt(a^2*b^2 + a*b^3 + (a^3*b + a^2*b^2)*k)*sqrt(k*x^3 - (k + 1)*x^2 + x)/(((a^3*b + a^2*b^2)*k^2 + (a^2*b^2 + a*b^3)*k)*x^3 - (a^2*b^2 + a*b^3 + (a^3*b + a^2*b^2)*k^2 + (a^3*b + 2*a^2*b^2 + a*b^3)*k)*x^2 + (a^2*b^2 + a*b^3 + (a^3*b + a^2*b^2)*k)*x))/sqrt(a^2*b^2 + a*b^3 + (a^3*b + a^2*b^2)*k)]","B",0
1201,1,384,0,1.278372," ","integrate(x*(-b+x)*(a*b-2*a*x+x^2)/(x*(-a+x)*(-b+x))^(1/2)/(-a^2+2*a*x+(b^2*d-1)*x^2-2*b*d*x^3+d*x^4),x, algorithm=""fricas"")","-\frac{1}{d^{3}}^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} d^{2} \frac{1}{d^{3}}^{\frac{3}{4}}}{b x - x^{2}}\right) - \frac{1}{4} \, \frac{1}{d^{3}}^{\frac{1}{4}} \log\left(\frac{2 \, b d x^{3} - d x^{4} - {\left(b^{2} d + 1\right)} x^{2} - a^{2} + 2 \, a x + 2 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left({\left(b d^{3} x - d^{3} x^{2}\right)} \frac{1}{d^{3}}^{\frac{3}{4}} + {\left(a d - d x\right)} \frac{1}{d^{3}}^{\frac{1}{4}}\right)} - 2 \, {\left(a b d^{2} x - {\left(a + b\right)} d^{2} x^{2} + d^{2} x^{3}\right)} \sqrt{\frac{1}{d^{3}}}}{2 \, b d x^{3} - d x^{4} - {\left(b^{2} d - 1\right)} x^{2} + a^{2} - 2 \, a x}\right) + \frac{1}{4} \, \frac{1}{d^{3}}^{\frac{1}{4}} \log\left(\frac{2 \, b d x^{3} - d x^{4} - {\left(b^{2} d + 1\right)} x^{2} - a^{2} + 2 \, a x - 2 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left({\left(b d^{3} x - d^{3} x^{2}\right)} \frac{1}{d^{3}}^{\frac{3}{4}} + {\left(a d - d x\right)} \frac{1}{d^{3}}^{\frac{1}{4}}\right)} - 2 \, {\left(a b d^{2} x - {\left(a + b\right)} d^{2} x^{2} + d^{2} x^{3}\right)} \sqrt{\frac{1}{d^{3}}}}{2 \, b d x^{3} - d x^{4} - {\left(b^{2} d - 1\right)} x^{2} + a^{2} - 2 \, a x}\right)"," ",0,"-(d^(-3))^(1/4)*arctan(-sqrt(a*b*x - (a + b)*x^2 + x^3)*d^2*(d^(-3))^(3/4)/(b*x - x^2)) - 1/4*(d^(-3))^(1/4)*log((2*b*d*x^3 - d*x^4 - (b^2*d + 1)*x^2 - a^2 + 2*a*x + 2*sqrt(a*b*x - (a + b)*x^2 + x^3)*((b*d^3*x - d^3*x^2)*(d^(-3))^(3/4) + (a*d - d*x)*(d^(-3))^(1/4)) - 2*(a*b*d^2*x - (a + b)*d^2*x^2 + d^2*x^3)*sqrt(d^(-3)))/(2*b*d*x^3 - d*x^4 - (b^2*d - 1)*x^2 + a^2 - 2*a*x)) + 1/4*(d^(-3))^(1/4)*log((2*b*d*x^3 - d*x^4 - (b^2*d + 1)*x^2 - a^2 + 2*a*x - 2*sqrt(a*b*x - (a + b)*x^2 + x^3)*((b*d^3*x - d^3*x^2)*(d^(-3))^(3/4) + (a*d - d*x)*(d^(-3))^(1/4)) - 2*(a*b*d^2*x - (a + b)*d^2*x^2 + d^2*x^3)*sqrt(d^(-3)))/(2*b*d*x^3 - d*x^4 - (b^2*d - 1)*x^2 + a^2 - 2*a*x))","B",0
1202,1,109,0,1.249048," ","integrate((x^4+1)/(x^4-x^2-1)/(x^5-x)^(1/3),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{3} \arctan\left(-\frac{4 \, \sqrt{3} {\left(x^{5} - x\right)}^{\frac{1}{3}} x + \sqrt{3} {\left(x^{4} - 1\right)} - 2 \, \sqrt{3} {\left(x^{5} - x\right)}^{\frac{2}{3}}}{x^{4} + 8 \, x^{2} - 1}\right) + \frac{1}{4} \, \log\left(\frac{x^{4} - x^{2} + 3 \, {\left(x^{5} - x\right)}^{\frac{1}{3}} x - 3 \, {\left(x^{5} - x\right)}^{\frac{2}{3}} - 1}{x^{4} - x^{2} - 1}\right)"," ",0,"-1/2*sqrt(3)*arctan(-(4*sqrt(3)*(x^5 - x)^(1/3)*x + sqrt(3)*(x^4 - 1) - 2*sqrt(3)*(x^5 - x)^(2/3))/(x^4 + 8*x^2 - 1)) + 1/4*log((x^4 - x^2 + 3*(x^5 - x)^(1/3)*x - 3*(x^5 - x)^(2/3) - 1)/(x^4 - x^2 - 1))","A",0
1203,1,82,0,0.461143," ","integrate(x^3/(x^6-1)^(2/3),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x^{2} + 2 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{3 \, x^{2}}\right) - \frac{1}{6} \, \log\left(-\frac{x^{2} - {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}}\right) + \frac{1}{12} \, \log\left(\frac{x^{4} + {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{2} + {\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}}\right)"," ",0,"1/6*sqrt(3)*arctan(1/3*(sqrt(3)*x^2 + 2*sqrt(3)*(x^6 - 1)^(1/3))/x^2) - 1/6*log(-(x^2 - (x^6 - 1)^(1/3))/x^2) + 1/12*log((x^4 + (x^6 - 1)^(1/3)*x^2 + (x^6 - 1)^(2/3))/x^4)","A",0
1204,1,82,0,0.485445," ","integrate(x/(x^6-1)^(1/3),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x^{2} + 2 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{3 \, x^{2}}\right) - \frac{1}{6} \, \log\left(-\frac{x^{2} - {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}}\right) + \frac{1}{12} \, \log\left(\frac{x^{4} + {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{2} + {\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}}\right)"," ",0,"-1/6*sqrt(3)*arctan(1/3*(sqrt(3)*x^2 + 2*sqrt(3)*(x^6 - 1)^(1/3))/x^2) - 1/6*log(-(x^2 - (x^6 - 1)^(1/3))/x^2) + 1/12*log((x^4 + (x^6 - 1)^(1/3)*x^2 + (x^6 - 1)^(2/3))/x^4)","A",0
1205,1,82,0,0.438010," ","integrate(x^3/(x^6+1)^(2/3),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x^{2} + 2 \, \sqrt{3} {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{3 \, x^{2}}\right) - \frac{1}{6} \, \log\left(-\frac{x^{2} - {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}}\right) + \frac{1}{12} \, \log\left(\frac{x^{4} + {\left(x^{6} + 1\right)}^{\frac{1}{3}} x^{2} + {\left(x^{6} + 1\right)}^{\frac{2}{3}}}{x^{4}}\right)"," ",0,"1/6*sqrt(3)*arctan(1/3*(sqrt(3)*x^2 + 2*sqrt(3)*(x^6 + 1)^(1/3))/x^2) - 1/6*log(-(x^2 - (x^6 + 1)^(1/3))/x^2) + 1/12*log((x^4 + (x^6 + 1)^(1/3)*x^2 + (x^6 + 1)^(2/3))/x^4)","A",0
1206,1,82,0,0.477668," ","integrate(x/(x^6+1)^(1/3),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x^{2} + 2 \, \sqrt{3} {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{3 \, x^{2}}\right) - \frac{1}{6} \, \log\left(-\frac{x^{2} - {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}}\right) + \frac{1}{12} \, \log\left(\frac{x^{4} + {\left(x^{6} + 1\right)}^{\frac{1}{3}} x^{2} + {\left(x^{6} + 1\right)}^{\frac{2}{3}}}{x^{4}}\right)"," ",0,"-1/6*sqrt(3)*arctan(1/3*(sqrt(3)*x^2 + 2*sqrt(3)*(x^6 + 1)^(1/3))/x^2) - 1/6*log(-(x^2 - (x^6 + 1)^(1/3))/x^2) + 1/12*log((x^4 + (x^6 + 1)^(1/3)*x^2 + (x^6 + 1)^(2/3))/x^4)","A",0
1207,-1,0,0,0.000000," ","integrate((a*x^8-b)/x^2/(a*x^4-b)^(3/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1208,-1,0,0,0.000000," ","integrate((2*a*x^8-3*b)/x^8/(a*x^4-b)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1209,-1,0,0,0.000000," ","integrate((a^2*x^8-b^2)/x^2/(a*x^4+b)^(3/4)/(a^2*x^8+b^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1210,1,161,0,10.213758," ","integrate((a*x^2+b*x*(-a/b^2+a^2*x^2/b^2)^(1/2))^(1/2)/x/(-a/b^2+a^2*x^2/b^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{2} b \log\left(-4 \, a x^{2} - 4 \, b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}} - 2 \, \sqrt{a x^{2} + b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}}} {\left(\sqrt{2} \sqrt{a} x + \frac{\sqrt{2} b \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}}}{\sqrt{a}}\right)} + 1\right)}{2 \, \sqrt{a}}, -\sqrt{2} b \sqrt{-\frac{1}{a}} \arctan\left(\frac{\sqrt{2} \sqrt{a x^{2} + b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}}} \sqrt{-\frac{1}{a}}}{2 \, x}\right)\right]"," ",0,"[1/2*sqrt(2)*b*log(-4*a*x^2 - 4*b*x*sqrt((a^2*x^2 - a)/b^2) - 2*sqrt(a*x^2 + b*x*sqrt((a^2*x^2 - a)/b^2))*(sqrt(2)*sqrt(a)*x + sqrt(2)*b*sqrt((a^2*x^2 - a)/b^2)/sqrt(a)) + 1)/sqrt(a), -sqrt(2)*b*sqrt(-1/a)*arctan(1/2*sqrt(2)*sqrt(a*x^2 + b*x*sqrt((a^2*x^2 - a)/b^2))*sqrt(-1/a)/x)]","A",0
1211,1,67,0,0.492187," ","integrate((x^2-1)^(2/3)/x,x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{2} - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) + \frac{3}{4} \, {\left(x^{2} - 1\right)}^{\frac{2}{3}} - \frac{1}{4} \, \log\left({\left(x^{2} - 1\right)}^{\frac{2}{3}} - {\left(x^{2} - 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{2} \, \log\left({\left(x^{2} - 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"-1/2*sqrt(3)*arctan(2/3*sqrt(3)*(x^2 - 1)^(1/3) - 1/3*sqrt(3)) + 3/4*(x^2 - 1)^(2/3) - 1/4*log((x^2 - 1)^(2/3) - (x^2 - 1)^(1/3) + 1) + 1/2*log((x^2 - 1)^(1/3) + 1)","A",0
1212,1,95,0,0.924301," ","integrate((-3+x)/(x^2-1)^(1/3)/(x^2+x+2),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(-\frac{4 \, \sqrt{3} {\left(x^{2} - 1\right)}^{\frac{1}{3}} {\left(x + 1\right)} + \sqrt{3} {\left(x - 1\right)} - 2 \, \sqrt{3} {\left(x^{2} - 1\right)}^{\frac{2}{3}}}{8 \, x^{2} + 17 \, x + 7}\right) + \frac{1}{2} \, \log\left(\frac{x^{2} - 3 \, {\left(x^{2} - 1\right)}^{\frac{1}{3}} {\left(x + 1\right)} + x + 3 \, {\left(x^{2} - 1\right)}^{\frac{2}{3}} + 2}{x^{2} + x + 2}\right)"," ",0,"-sqrt(3)*arctan(-(4*sqrt(3)*(x^2 - 1)^(1/3)*(x + 1) + sqrt(3)*(x - 1) - 2*sqrt(3)*(x^2 - 1)^(2/3))/(8*x^2 + 17*x + 7)) + 1/2*log((x^2 - 3*(x^2 - 1)^(1/3)*(x + 1) + x + 3*(x^2 - 1)^(2/3) + 2)/(x^2 + x + 2))","A",0
1213,1,230,0,0.519104," ","integrate((x^2+2)/(x^2-2*x-2)/(x^3-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{27} \cdot 27^{\frac{3}{4}} \sqrt{2} \arctan\left(\frac{\sqrt{x^{3} - 1} {\left(27^{\frac{3}{4}} \sqrt{2} - 9 \cdot 27^{\frac{1}{4}} \sqrt{2}\right)}}{18 \, {\left(x^{2} + x + 1\right)}}\right) - \frac{1}{108} \cdot 27^{\frac{3}{4}} \sqrt{2} \log\left(\frac{2 \, {\left(9 \, x^{4} + 18 \, x^{3} + 54 \, x^{2} + 36 \, \sqrt{3} {\left(x^{3} - 1\right)} + \sqrt{x^{3} - 1} {\left(27^{\frac{3}{4}} \sqrt{2} {\left(x^{2} + 4 \, x - 2\right)} + 9 \cdot 27^{\frac{1}{4}} \sqrt{2} {\left(x^{2} + 2\right)}\right)} - 36 \, x + 36\right)}}{x^{4} - 4 \, x^{3} + 8 \, x + 4}\right) + \frac{1}{108} \cdot 27^{\frac{3}{4}} \sqrt{2} \log\left(\frac{2 \, {\left(9 \, x^{4} + 18 \, x^{3} + 54 \, x^{2} + 36 \, \sqrt{3} {\left(x^{3} - 1\right)} - \sqrt{x^{3} - 1} {\left(27^{\frac{3}{4}} \sqrt{2} {\left(x^{2} + 4 \, x - 2\right)} + 9 \cdot 27^{\frac{1}{4}} \sqrt{2} {\left(x^{2} + 2\right)}\right)} - 36 \, x + 36\right)}}{x^{4} - 4 \, x^{3} + 8 \, x + 4}\right)"," ",0,"1/27*27^(3/4)*sqrt(2)*arctan(1/18*sqrt(x^3 - 1)*(27^(3/4)*sqrt(2) - 9*27^(1/4)*sqrt(2))/(x^2 + x + 1)) - 1/108*27^(3/4)*sqrt(2)*log(2*(9*x^4 + 18*x^3 + 54*x^2 + 36*sqrt(3)*(x^3 - 1) + sqrt(x^3 - 1)*(27^(3/4)*sqrt(2)*(x^2 + 4*x - 2) + 9*27^(1/4)*sqrt(2)*(x^2 + 2)) - 36*x + 36)/(x^4 - 4*x^3 + 8*x + 4)) + 1/108*27^(3/4)*sqrt(2)*log(2*(9*x^4 + 18*x^3 + 54*x^2 + 36*sqrt(3)*(x^3 - 1) - sqrt(x^3 - 1)*(27^(3/4)*sqrt(2)*(x^2 + 4*x - 2) + 9*27^(1/4)*sqrt(2)*(x^2 + 2)) - 36*x + 36)/(x^4 - 4*x^3 + 8*x + 4))","B",0
1214,1,70,0,0.447078," ","integrate((x^3-1)*(x^3+1)^(1/3)/x,x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) + \frac{1}{4} \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} {\left(x^{3} - 3\right)} + \frac{1}{6} \, \log\left({\left(x^{3} + 1\right)}^{\frac{2}{3}} + {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) - \frac{1}{3} \, \log\left({\left(x^{3} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"1/3*sqrt(3)*arctan(2/3*sqrt(3)*(x^3 + 1)^(1/3) + 1/3*sqrt(3)) + 1/4*(x^3 + 1)^(1/3)*(x^3 - 3) + 1/6*log((x^3 + 1)^(2/3) + (x^3 + 1)^(1/3) + 1) - 1/3*log((x^3 + 1)^(1/3) - 1)","A",0
1215,-1,0,0,0.000000," ","integrate((-a*b+2*(a-b)*x+x^2)/(x*(-a+x)*(-b+x))^(1/4)/(-a^3+(3*a^2+b*d)*x-(3*a+d)*x^2+x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1216,-1,0,0,0.000000," ","integrate((x^2-2*x+1)*(-1+2*(-1+k)*x+k*x^2)/((1-x)*x*(-k*x+1))^(3/4)/(-d+(1+3*d)*x-(3*d+k)*x^2+d*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1217,1,120,0,1.289555," ","integrate(x^2/(x^3+x^2+x)^(1/2)/(x^4-1),x, algorithm=""fricas"")","\frac{1}{48} \, \sqrt{3} \log\left(\frac{x^{4} + 20 \, x^{3} - 4 \, \sqrt{3} \sqrt{x^{3} + x^{2} + x} {\left(x^{2} + 4 \, x + 1\right)} + 30 \, x^{2} + 20 \, x + 1}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right) + \frac{1}{8} \, \arctan\left(\frac{x^{2} + 1}{2 \, \sqrt{x^{3} + x^{2} + x}}\right) + \frac{1}{4} \, \log\left(\frac{x^{2} + 2 \, x + 2 \, \sqrt{x^{3} + x^{2} + x} + 1}{x^{2} + 1}\right)"," ",0,"1/48*sqrt(3)*log((x^4 + 20*x^3 - 4*sqrt(3)*sqrt(x^3 + x^2 + x)*(x^2 + 4*x + 1) + 30*x^2 + 20*x + 1)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)) + 1/8*arctan(1/2*(x^2 + 1)/sqrt(x^3 + x^2 + x)) + 1/4*log((x^2 + 2*x + 2*sqrt(x^3 + x^2 + x) + 1)/(x^2 + 1))","A",0
1218,1,120,0,1.001502," ","integrate((x^3+x^2+x)^(1/2)/(x^4-1),x, algorithm=""fricas"")","\frac{1}{16} \, \sqrt{3} \log\left(\frac{x^{4} + 20 \, x^{3} - 4 \, \sqrt{3} \sqrt{x^{3} + x^{2} + x} {\left(x^{2} + 4 \, x + 1\right)} + 30 \, x^{2} + 20 \, x + 1}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right) - \frac{1}{8} \, \arctan\left(\frac{x^{2} + 1}{2 \, \sqrt{x^{3} + x^{2} + x}}\right) + \frac{1}{4} \, \log\left(\frac{x^{2} + 2 \, x + 2 \, \sqrt{x^{3} + x^{2} + x} + 1}{x^{2} + 1}\right)"," ",0,"1/16*sqrt(3)*log((x^4 + 20*x^3 - 4*sqrt(3)*sqrt(x^3 + x^2 + x)*(x^2 + 4*x + 1) + 30*x^2 + 20*x + 1)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)) - 1/8*arctan(1/2*(x^2 + 1)/sqrt(x^3 + x^2 + x)) + 1/4*log((x^2 + 2*x + 2*sqrt(x^3 + x^2 + x) + 1)/(x^2 + 1))","A",0
1219,1,67,0,1.001264," ","integrate((x^4-1)^(2/3)/x,x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{4} - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) + \frac{3}{8} \, {\left(x^{4} - 1\right)}^{\frac{2}{3}} - \frac{1}{8} \, \log\left({\left(x^{4} - 1\right)}^{\frac{2}{3}} - {\left(x^{4} - 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{4} \, \log\left({\left(x^{4} - 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"-1/4*sqrt(3)*arctan(2/3*sqrt(3)*(x^4 - 1)^(1/3) - 1/3*sqrt(3)) + 3/8*(x^4 - 1)^(2/3) - 1/8*log((x^4 - 1)^(2/3) - (x^4 - 1)^(1/3) + 1) + 1/4*log((x^4 - 1)^(1/3) + 1)","A",0
1220,1,120,0,1.145357," ","integrate((x^4-x^2+1)/(x^3+x^2+x)^(1/2)/(x^4-1),x, algorithm=""fricas"")","\frac{1}{48} \, \sqrt{3} \log\left(\frac{x^{4} + 20 \, x^{3} - 4 \, \sqrt{3} \sqrt{x^{3} + x^{2} + x} {\left(x^{2} + 4 \, x + 1\right)} + 30 \, x^{2} + 20 \, x + 1}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right) + \frac{1}{8} \, \arctan\left(\frac{x^{2} + 1}{2 \, \sqrt{x^{3} + x^{2} + x}}\right) + \frac{3}{4} \, \log\left(\frac{x^{2} + 2 \, x - 2 \, \sqrt{x^{3} + x^{2} + x} + 1}{x^{2} + 1}\right)"," ",0,"1/48*sqrt(3)*log((x^4 + 20*x^3 - 4*sqrt(3)*sqrt(x^3 + x^2 + x)*(x^2 + 4*x + 1) + 30*x^2 + 20*x + 1)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)) + 1/8*arctan(1/2*(x^2 + 1)/sqrt(x^3 + x^2 + x)) + 3/4*log((x^2 + 2*x - 2*sqrt(x^3 + x^2 + x) + 1)/(x^2 + 1))","A",0
1221,1,121,0,1.027714," ","integrate((x^2-x+1)/(x^2-1)/(x^4-x^3+x^2-x+1)^(1/2),x, algorithm=""fricas"")","\frac{3}{40} \, \sqrt{5} \log\left(-\frac{9 \, x^{4} - 4 \, x^{3} + 4 \, \sqrt{5} \sqrt{x^{4} - x^{3} + x^{2} - x + 1} {\left(x^{2} + 1\right)} + 14 \, x^{2} - 4 \, x + 9}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right) + \frac{1}{4} \, \log\left(\frac{3 \, x^{2} - 4 \, x - 2 \, \sqrt{x^{4} - x^{3} + x^{2} - x + 1} + 3}{x^{2} - 2 \, x + 1}\right)"," ",0,"3/40*sqrt(5)*log(-(9*x^4 - 4*x^3 + 4*sqrt(5)*sqrt(x^4 - x^3 + x^2 - x + 1)*(x^2 + 1) + 14*x^2 - 4*x + 9)/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1)) + 1/4*log((3*x^2 - 4*x - 2*sqrt(x^4 - x^3 + x^2 - x + 1) + 3)/(x^2 - 2*x + 1))","A",0
1222,1,195,0,1.159534," ","integrate((-1+x)^2*(2*x^3-2*x^2+x)/(-1+2*x)/((1-2*x)/(2*x^2+1))^(1/2)/(2*x^4-4*x^3+3*x^2+4*x-2),x, algorithm=""fricas"")","\frac{\sqrt{3} {\left(2 \, x - 1\right)} \log\left(-\frac{4 \, x^{8} - 16 \, x^{7} + 28 \, x^{6} - 104 \, x^{5} + 209 \, x^{4} - 200 \, x^{3} + 172 \, x^{2} - 4 \, \sqrt{3} {\left(4 \, x^{7} - 12 \, x^{6} + 16 \, x^{5} - 28 \, x^{4} + 31 \, x^{3} - 19 \, x^{2} + 12 \, x - 4\right)} \sqrt{-\frac{2 \, x - 1}{2 \, x^{2} + 1}} - 112 \, x + 28}{4 \, x^{8} - 16 \, x^{7} + 28 \, x^{6} - 8 \, x^{5} - 31 \, x^{4} + 40 \, x^{3} + 4 \, x^{2} - 16 \, x + 4}\right) - 4 \, {\left(2 \, x^{3} - 2 \, x^{2} + x - 1\right)} \sqrt{-\frac{2 \, x - 1}{2 \, x^{2} + 1}}}{12 \, {\left(2 \, x - 1\right)}}"," ",0,"1/12*(sqrt(3)*(2*x - 1)*log(-(4*x^8 - 16*x^7 + 28*x^6 - 104*x^5 + 209*x^4 - 200*x^3 + 172*x^2 - 4*sqrt(3)*(4*x^7 - 12*x^6 + 16*x^5 - 28*x^4 + 31*x^3 - 19*x^2 + 12*x - 4)*sqrt(-(2*x - 1)/(2*x^2 + 1)) - 112*x + 28)/(4*x^8 - 16*x^7 + 28*x^6 - 8*x^5 - 31*x^4 + 40*x^3 + 4*x^2 - 16*x + 4)) - 4*(2*x^3 - 2*x^2 + x - 1)*sqrt(-(2*x - 1)/(2*x^2 + 1)))/(2*x - 1)","B",0
1223,1,67,0,1.033152," ","integrate((x^5-1)^(2/3)/x,x, algorithm=""fricas"")","-\frac{1}{5} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{5} - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) + \frac{3}{10} \, {\left(x^{5} - 1\right)}^{\frac{2}{3}} - \frac{1}{10} \, \log\left({\left(x^{5} - 1\right)}^{\frac{2}{3}} - {\left(x^{5} - 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{5} \, \log\left({\left(x^{5} - 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"-1/5*sqrt(3)*arctan(2/3*sqrt(3)*(x^5 - 1)^(1/3) - 1/3*sqrt(3)) + 3/10*(x^5 - 1)^(2/3) - 1/10*log((x^5 - 1)^(2/3) - (x^5 - 1)^(1/3) + 1) + 1/5*log((x^5 - 1)^(1/3) + 1)","A",0
1224,1,67,0,0.476446," ","integrate((x^6-1)^(2/3)/x,x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) + \frac{1}{4} \, {\left(x^{6} - 1\right)}^{\frac{2}{3}} - \frac{1}{12} \, \log\left({\left(x^{6} - 1\right)}^{\frac{2}{3}} - {\left(x^{6} - 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{6} \, \log\left({\left(x^{6} - 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"-1/6*sqrt(3)*arctan(2/3*sqrt(3)*(x^6 - 1)^(1/3) - 1/3*sqrt(3)) + 1/4*(x^6 - 1)^(2/3) - 1/12*log((x^6 - 1)^(2/3) - (x^6 - 1)^(1/3) + 1) + 1/6*log((x^6 - 1)^(1/3) + 1)","A",0
1225,1,249,0,3.825511," ","integrate((a*x^2+(a^2*x^4+b)^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{1}{8} \, \sqrt{2} \sqrt{-\frac{b}{a}} \log\left(4 \, a^{2} b x^{4} - 4 \, \sqrt{a^{2} x^{4} + b} a b x^{2} + b^{2} + 2 \, {\left(2 \, \sqrt{2} \sqrt{a^{2} x^{4} + b} a^{2} x^{3} \sqrt{-\frac{b}{a}} - \sqrt{2} {\left(2 \, a^{3} x^{5} + a b x\right)} \sqrt{-\frac{b}{a}}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}\right) + \frac{1}{2} \, \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} x, -\frac{1}{4} \, \sqrt{2} \sqrt{\frac{b}{a}} \arctan\left(-\frac{{\left(\sqrt{2} a x^{2} \sqrt{\frac{b}{a}} - \sqrt{2} \sqrt{a^{2} x^{4} + b} \sqrt{\frac{b}{a}}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{2 \, b x}\right) + \frac{1}{2} \, \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} x\right]"," ",0,"[1/8*sqrt(2)*sqrt(-b/a)*log(4*a^2*b*x^4 - 4*sqrt(a^2*x^4 + b)*a*b*x^2 + b^2 + 2*(2*sqrt(2)*sqrt(a^2*x^4 + b)*a^2*x^3*sqrt(-b/a) - sqrt(2)*(2*a^3*x^5 + a*b*x)*sqrt(-b/a))*sqrt(a*x^2 + sqrt(a^2*x^4 + b))) + 1/2*sqrt(a*x^2 + sqrt(a^2*x^4 + b))*x, -1/4*sqrt(2)*sqrt(b/a)*arctan(-1/2*(sqrt(2)*a*x^2*sqrt(b/a) - sqrt(2)*sqrt(a^2*x^4 + b)*sqrt(b/a))*sqrt(a*x^2 + sqrt(a^2*x^4 + b))/(b*x)) + 1/2*sqrt(a*x^2 + sqrt(a^2*x^4 + b))*x]","A",0
1226,1,80,0,0.473591," ","integrate((x^2-1)^(2/3)/x^3,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{2} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{2} - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) + x^{2} \log\left({\left(x^{2} - 1\right)}^{\frac{2}{3}} - {\left(x^{2} - 1\right)}^{\frac{1}{3}} + 1\right) - 2 \, x^{2} \log\left({\left(x^{2} - 1\right)}^{\frac{1}{3}} + 1\right) - 3 \, {\left(x^{2} - 1\right)}^{\frac{2}{3}}}{6 \, x^{2}}"," ",0,"1/6*(2*sqrt(3)*x^2*arctan(2/3*sqrt(3)*(x^2 - 1)^(1/3) - 1/3*sqrt(3)) + x^2*log((x^2 - 1)^(2/3) - (x^2 - 1)^(1/3) + 1) - 2*x^2*log((x^2 - 1)^(1/3) + 1) - 3*(x^2 - 1)^(2/3))/x^2","A",0
1227,1,451,0,1.462712," ","integrate((x^2+x-2)/x^2/(x^2-1)^(3/4),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{2} x \arctan\left(\frac{x^{4} + 4 \, \sqrt{x^{2} - 1} x^{2} + 2 \, \sqrt{2} {\left(x^{2} - 1\right)}^{\frac{3}{4}} {\left(x^{2} - 4\right)} + 2 \, \sqrt{2} {\left(3 \, x^{2} - 4\right)} {\left(x^{2} - 1\right)}^{\frac{1}{4}} + {\left(4 \, {\left(x^{2} - 1\right)}^{\frac{1}{4}} x^{2} + 2 \, \sqrt{2} \sqrt{x^{2} - 1} {\left(x^{2} - 4\right)} + \sqrt{2} {\left(x^{4} - 10 \, x^{2} + 8\right)} + 16 \, {\left(x^{2} - 1\right)}^{\frac{3}{4}}\right)} \sqrt{\frac{x^{2} + 2 \, \sqrt{2} {\left(x^{2} - 1\right)}^{\frac{3}{4}} + 2 \, \sqrt{2} {\left(x^{2} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{2} - 1}}{x^{2}}}}{x^{4} - 16 \, x^{2} + 16}\right) - 4 \, \sqrt{2} x \arctan\left(\frac{x^{4} + 4 \, \sqrt{x^{2} - 1} x^{2} - 2 \, \sqrt{2} {\left(x^{2} - 1\right)}^{\frac{3}{4}} {\left(x^{2} - 4\right)} - 2 \, \sqrt{2} {\left(3 \, x^{2} - 4\right)} {\left(x^{2} - 1\right)}^{\frac{1}{4}} + {\left(4 \, {\left(x^{2} - 1\right)}^{\frac{1}{4}} x^{2} - 2 \, \sqrt{2} \sqrt{x^{2} - 1} {\left(x^{2} - 4\right)} - \sqrt{2} {\left(x^{4} - 10 \, x^{2} + 8\right)} + 16 \, {\left(x^{2} - 1\right)}^{\frac{3}{4}}\right)} \sqrt{\frac{x^{2} - 2 \, \sqrt{2} {\left(x^{2} - 1\right)}^{\frac{3}{4}} - 2 \, \sqrt{2} {\left(x^{2} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{2} - 1}}{x^{2}}}}{x^{4} - 16 \, x^{2} + 16}\right) - \sqrt{2} x \log\left(\frac{4 \, {\left(x^{2} + 2 \, \sqrt{2} {\left(x^{2} - 1\right)}^{\frac{3}{4}} + 2 \, \sqrt{2} {\left(x^{2} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{2} - 1}\right)}}{x^{2}}\right) + \sqrt{2} x \log\left(\frac{4 \, {\left(x^{2} - 2 \, \sqrt{2} {\left(x^{2} - 1\right)}^{\frac{3}{4}} - 2 \, \sqrt{2} {\left(x^{2} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{2} - 1}\right)}}{x^{2}}\right) + 16 \, {\left(x^{2} - 1\right)}^{\frac{1}{4}}}{8 \, x}"," ",0,"-1/8*(4*sqrt(2)*x*arctan((x^4 + 4*sqrt(x^2 - 1)*x^2 + 2*sqrt(2)*(x^2 - 1)^(3/4)*(x^2 - 4) + 2*sqrt(2)*(3*x^2 - 4)*(x^2 - 1)^(1/4) + (4*(x^2 - 1)^(1/4)*x^2 + 2*sqrt(2)*sqrt(x^2 - 1)*(x^2 - 4) + sqrt(2)*(x^4 - 10*x^2 + 8) + 16*(x^2 - 1)^(3/4))*sqrt((x^2 + 2*sqrt(2)*(x^2 - 1)^(3/4) + 2*sqrt(2)*(x^2 - 1)^(1/4) + 4*sqrt(x^2 - 1))/x^2))/(x^4 - 16*x^2 + 16)) - 4*sqrt(2)*x*arctan((x^4 + 4*sqrt(x^2 - 1)*x^2 - 2*sqrt(2)*(x^2 - 1)^(3/4)*(x^2 - 4) - 2*sqrt(2)*(3*x^2 - 4)*(x^2 - 1)^(1/4) + (4*(x^2 - 1)^(1/4)*x^2 - 2*sqrt(2)*sqrt(x^2 - 1)*(x^2 - 4) - sqrt(2)*(x^4 - 10*x^2 + 8) + 16*(x^2 - 1)^(3/4))*sqrt((x^2 - 2*sqrt(2)*(x^2 - 1)^(3/4) - 2*sqrt(2)*(x^2 - 1)^(1/4) + 4*sqrt(x^2 - 1))/x^2))/(x^4 - 16*x^2 + 16)) - sqrt(2)*x*log(4*(x^2 + 2*sqrt(2)*(x^2 - 1)^(3/4) + 2*sqrt(2)*(x^2 - 1)^(1/4) + 4*sqrt(x^2 - 1))/x^2) + sqrt(2)*x*log(4*(x^2 - 2*sqrt(2)*(x^2 - 1)^(3/4) - 2*sqrt(2)*(x^2 - 1)^(1/4) + 4*sqrt(x^2 - 1))/x^2) + 16*(x^2 - 1)^(1/4))/x","B",0
1228,1,78,0,0.460549," ","integrate((x^3+1)^(1/3)/x^4,x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x^{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) + x^{3} \log\left({\left(x^{3} + 1\right)}^{\frac{2}{3}} + {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) - 2 \, x^{3} \log\left({\left(x^{3} + 1\right)}^{\frac{1}{3}} - 1\right) + 6 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{18 \, x^{3}}"," ",0,"-1/18*(2*sqrt(3)*x^3*arctan(2/3*sqrt(3)*(x^3 + 1)^(1/3) + 1/3*sqrt(3)) + x^3*log((x^3 + 1)^(2/3) + (x^3 + 1)^(1/3) + 1) - 2*x^3*log((x^3 + 1)^(1/3) - 1) + 6*(x^3 + 1)^(1/3))/x^3","A",0
1229,1,79,0,0.442817," ","integrate((x^3+1)^(2/3)/x^4,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) - x^{3} \log\left({\left(x^{3} + 1\right)}^{\frac{2}{3}} + {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) + 2 \, x^{3} \log\left({\left(x^{3} + 1\right)}^{\frac{1}{3}} - 1\right) - 3 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{9 \, x^{3}}"," ",0,"1/9*(2*sqrt(3)*x^3*arctan(2/3*sqrt(3)*(x^3 + 1)^(1/3) + 1/3*sqrt(3)) - x^3*log((x^3 + 1)^(2/3) + (x^3 + 1)^(1/3) + 1) + 2*x^3*log((x^3 + 1)^(1/3) - 1) - 3*(x^3 + 1)^(2/3))/x^3","A",0
1230,-1,0,0,0.000000," ","integrate((-2*k-(-1+k)*(1+k)*x+2*k*x^2)/((-x^2+1)*(-k^2*x^2+1))^(1/4)/(-1+d+(3+d)*k*x-(3*k^2+d)*x^2+k*(k^2-d)*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1231,-1,0,0,0.000000," ","integrate((-2*k+(-1+k)*(1+k)*x+2*k*x^2)/((-x^2+1)*(-k^2*x^2+1))^(1/4)/(1-d+(3+d)*k*x+(3*k^2+d)*x^2+k*(k^2-d)*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1232,1,78,0,0.935468," ","integrate((x^2+1)*(-2*x^4+1)^(1/2)/x^5,x, algorithm=""fricas"")","\frac{4 \, \sqrt{2} x^{4} \arctan\left(\frac{\sqrt{2} \sqrt{-2 \, x^{4} + 1} - \sqrt{2}}{2 \, x^{2}}\right) - 2 \, x^{4} \log\left(\frac{\sqrt{-2 \, x^{4} + 1} - 1}{x^{2}}\right) - \sqrt{-2 \, x^{4} + 1} {\left(2 \, x^{2} + 1\right)}}{4 \, x^{4}}"," ",0,"1/4*(4*sqrt(2)*x^4*arctan(1/2*(sqrt(2)*sqrt(-2*x^4 + 1) - sqrt(2))/x^2) - 2*x^4*log((sqrt(-2*x^4 + 1) - 1)/x^2) - sqrt(-2*x^4 + 1)*(2*x^2 + 1))/x^4","A",0
1233,1,79,0,0.825561," ","integrate((x^4+1)^(2/3)/x^5,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{4} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{4} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) - x^{4} \log\left({\left(x^{4} + 1\right)}^{\frac{2}{3}} + {\left(x^{4} + 1\right)}^{\frac{1}{3}} + 1\right) + 2 \, x^{4} \log\left({\left(x^{4} + 1\right)}^{\frac{1}{3}} - 1\right) - 3 \, {\left(x^{4} + 1\right)}^{\frac{2}{3}}}{12 \, x^{4}}"," ",0,"1/12*(2*sqrt(3)*x^4*arctan(2/3*sqrt(3)*(x^4 + 1)^(1/3) + 1/3*sqrt(3)) - x^4*log((x^4 + 1)^(2/3) + (x^4 + 1)^(1/3) + 1) + 2*x^4*log((x^4 + 1)^(1/3) - 1) - 3*(x^4 + 1)^(2/3))/x^4","A",0
1234,1,134,0,3.350302," ","integrate((x^4-3)*(x^4+1)^(2/3)/x^3/(x^4-x^3+1),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x^{2} \arctan\left(-\frac{13034 \, \sqrt{3} {\left(x^{4} + 1\right)}^{\frac{1}{3}} x^{2} - 686 \, \sqrt{3} {\left(x^{4} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(37 \, x^{4} + 6137 \, x^{3} + 37\right)}}{3 \, {\left(x^{4} + 6859 \, x^{3} + 1\right)}}\right) - x^{2} \log\left(\frac{x^{4} - x^{3} + 3 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{4} + 1\right)}^{\frac{2}{3}} x + 1}{x^{4} - x^{3} + 1}\right) - 3 \, {\left(x^{4} + 1\right)}^{\frac{2}{3}}}{2 \, x^{2}}"," ",0,"-1/2*(2*sqrt(3)*x^2*arctan(-1/3*(13034*sqrt(3)*(x^4 + 1)^(1/3)*x^2 - 686*sqrt(3)*(x^4 + 1)^(2/3)*x + sqrt(3)*(37*x^4 + 6137*x^3 + 37))/(x^4 + 6859*x^3 + 1)) - x^2*log((x^4 - x^3 + 3*(x^4 + 1)^(1/3)*x^2 - 3*(x^4 + 1)^(2/3)*x + 1)/(x^4 - x^3 + 1)) - 3*(x^4 + 1)^(2/3))/x^2","A",0
1235,1,128,0,4.240217," ","integrate((x^4-1)^(1/3)*(x^4+3)/x^2/(x^4+x^3-1),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x \arctan\left(-\frac{33798185694614068 \, \sqrt{3} {\left(x^{4} - 1\right)}^{\frac{1}{3}} x^{2} - 35774000716806898 \, \sqrt{3} {\left(x^{4} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(18215948833549379 \, x^{4} - 16570144372161104 \, x^{3} - 18215948833549379\right)}}{18912305915671589 \, x^{4} + 15948583382382344 \, x^{3} - 18912305915671589}\right) - x \log\left(\frac{x^{4} + x^{3} + 3 \, {\left(x^{4} - 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{4} - 1\right)}^{\frac{2}{3}} x - 1}{x^{4} + x^{3} - 1}\right) + 6 \, {\left(x^{4} - 1\right)}^{\frac{1}{3}}}{2 \, x}"," ",0,"1/2*(2*sqrt(3)*x*arctan(-(33798185694614068*sqrt(3)*(x^4 - 1)^(1/3)*x^2 - 35774000716806898*sqrt(3)*(x^4 - 1)^(2/3)*x + sqrt(3)*(18215948833549379*x^4 - 16570144372161104*x^3 - 18215948833549379))/(18912305915671589*x^4 + 15948583382382344*x^3 - 18912305915671589)) - x*log((x^4 + x^3 + 3*(x^4 - 1)^(1/3)*x^2 + 3*(x^4 - 1)^(2/3)*x - 1)/(x^4 + x^3 - 1)) + 6*(x^4 - 1)^(1/3))/x","A",0
1236,1,131,0,5.345502," ","integrate((x^4-1)^(2/3)*(x^4+3)/x^3/(x^4+x^3-1),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{2} \arctan\left(-\frac{33798185694614068 \, \sqrt{3} {\left(x^{4} - 1\right)}^{\frac{1}{3}} x^{2} - 35774000716806898 \, \sqrt{3} {\left(x^{4} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(18215948833549379 \, x^{4} - 16570144372161104 \, x^{3} - 18215948833549379\right)}}{18912305915671589 \, x^{4} + 15948583382382344 \, x^{3} - 18912305915671589}\right) + x^{2} \log\left(\frac{x^{4} + x^{3} + 3 \, {\left(x^{4} - 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{4} - 1\right)}^{\frac{2}{3}} x - 1}{x^{4} + x^{3} - 1}\right) + 3 \, {\left(x^{4} - 1\right)}^{\frac{2}{3}}}{2 \, x^{2}}"," ",0,"1/2*(2*sqrt(3)*x^2*arctan(-(33798185694614068*sqrt(3)*(x^4 - 1)^(1/3)*x^2 - 35774000716806898*sqrt(3)*(x^4 - 1)^(2/3)*x + sqrt(3)*(18215948833549379*x^4 - 16570144372161104*x^3 - 18215948833549379))/(18912305915671589*x^4 + 15948583382382344*x^3 - 18912305915671589)) + x^2*log((x^4 + x^3 + 3*(x^4 - 1)^(1/3)*x^2 + 3*(x^4 - 1)^(2/3)*x - 1)/(x^4 + x^3 - 1)) + 3*(x^4 - 1)^(2/3))/x^2","A",0
1237,1,122,0,2.860126," ","integrate((x^4-3)*(x^4+1)^(1/3)/x^2/(x^4+x^3+1),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x \arctan\left(\frac{2 \, \sqrt{3} {\left(x^{4} + 1\right)}^{\frac{1}{3}} x^{2} + 2 \, \sqrt{3} {\left(x^{4} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(x^{4} + x^{3} + 1\right)}}{3 \, {\left(x^{4} - x^{3} + 1\right)}}\right) - x \log\left(\frac{x^{4} + x^{3} + 3 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{4} + 1\right)}^{\frac{2}{3}} x + 1}{x^{4} + x^{3} + 1}\right) + 6 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}}}{2 \, x}"," ",0,"1/2*(2*sqrt(3)*x*arctan(1/3*(2*sqrt(3)*(x^4 + 1)^(1/3)*x^2 + 2*sqrt(3)*(x^4 + 1)^(2/3)*x + sqrt(3)*(x^4 + x^3 + 1))/(x^4 - x^3 + 1)) - x*log((x^4 + x^3 + 3*(x^4 + 1)^(1/3)*x^2 + 3*(x^4 + 1)^(2/3)*x + 1)/(x^4 + x^3 + 1)) + 6*(x^4 + 1)^(1/3))/x","A",0
1238,1,304,0,13.771526," ","integrate((4+3*x)*(x^4-x-1)*(2*x^4-x-1)^(1/4)/x^6/(x^4+x+1),x, algorithm=""fricas"")","\frac{20 \cdot 3^{\frac{1}{4}} x^{5} \arctan\left(\frac{6 \cdot 3^{\frac{3}{4}} {\left(2 \, x^{4} - x - 1\right)}^{\frac{1}{4}} x^{3} + 6 \cdot 3^{\frac{1}{4}} {\left(2 \, x^{4} - x - 1\right)}^{\frac{3}{4}} x + 3^{\frac{3}{4}} {\left(2 \cdot 3^{\frac{3}{4}} \sqrt{2 \, x^{4} - x - 1} x^{2} + 3^{\frac{1}{4}} {\left(5 \, x^{4} - x - 1\right)}\right)}}{3 \, {\left(x^{4} + x + 1\right)}}\right) + 5 \cdot 3^{\frac{1}{4}} x^{5} \log\left(\frac{6 \, \sqrt{3} {\left(2 \, x^{4} - x - 1\right)}^{\frac{1}{4}} x^{3} + 6 \cdot 3^{\frac{1}{4}} \sqrt{2 \, x^{4} - x - 1} x^{2} + 3^{\frac{3}{4}} {\left(5 \, x^{4} - x - 1\right)} + 6 \, {\left(2 \, x^{4} - x - 1\right)}^{\frac{3}{4}} x}{x^{4} + x + 1}\right) - 5 \cdot 3^{\frac{1}{4}} x^{5} \log\left(\frac{6 \, \sqrt{3} {\left(2 \, x^{4} - x - 1\right)}^{\frac{1}{4}} x^{3} - 6 \cdot 3^{\frac{1}{4}} \sqrt{2 \, x^{4} - x - 1} x^{2} - 3^{\frac{3}{4}} {\left(5 \, x^{4} - x - 1\right)} + 6 \, {\left(2 \, x^{4} - x - 1\right)}^{\frac{3}{4}} x}{x^{4} + x + 1}\right) - 4 \, {\left(12 \, x^{4} - x - 1\right)} {\left(2 \, x^{4} - x - 1\right)}^{\frac{1}{4}}}{5 \, x^{5}}"," ",0,"1/5*(20*3^(1/4)*x^5*arctan(1/3*(6*3^(3/4)*(2*x^4 - x - 1)^(1/4)*x^3 + 6*3^(1/4)*(2*x^4 - x - 1)^(3/4)*x + 3^(3/4)*(2*3^(3/4)*sqrt(2*x^4 - x - 1)*x^2 + 3^(1/4)*(5*x^4 - x - 1)))/(x^4 + x + 1)) + 5*3^(1/4)*x^5*log((6*sqrt(3)*(2*x^4 - x - 1)^(1/4)*x^3 + 6*3^(1/4)*sqrt(2*x^4 - x - 1)*x^2 + 3^(3/4)*(5*x^4 - x - 1) + 6*(2*x^4 - x - 1)^(3/4)*x)/(x^4 + x + 1)) - 5*3^(1/4)*x^5*log((6*sqrt(3)*(2*x^4 - x - 1)^(1/4)*x^3 - 6*3^(1/4)*sqrt(2*x^4 - x - 1)*x^2 - 3^(3/4)*(5*x^4 - x - 1) + 6*(2*x^4 - x - 1)^(3/4)*x)/(x^4 + x + 1)) - 4*(12*x^4 - x - 1)*(2*x^4 - x - 1)^(1/4))/x^5","B",0
1239,1,146,0,0.524709," ","integrate((3*x^4+1)^(1/2)/(3*x^4-1),x, algorithm=""fricas"")","\frac{1}{12} \cdot 12^{\frac{3}{4}} \arctan\left(-\frac{12^{\frac{3}{4}} \sqrt{3} x^{2} - 12^{\frac{3}{4}} \sqrt{3 \, x^{4} + 1} + 2 \cdot 12^{\frac{1}{4}} \sqrt{3}}{12 \, x}\right) - \frac{1}{48} \cdot 12^{\frac{3}{4}} \log\left(\frac{6 \cdot 12^{\frac{1}{4}} x^{3} + 12^{\frac{3}{4}} x + 2 \, \sqrt{3 \, x^{4} + 1} {\left(3 \, x^{2} + \sqrt{3}\right)}}{3 \, x^{4} - 1}\right) + \frac{1}{48} \cdot 12^{\frac{3}{4}} \log\left(-\frac{6 \cdot 12^{\frac{1}{4}} x^{3} + 12^{\frac{3}{4}} x - 2 \, \sqrt{3 \, x^{4} + 1} {\left(3 \, x^{2} + \sqrt{3}\right)}}{3 \, x^{4} - 1}\right)"," ",0,"1/12*12^(3/4)*arctan(-1/12*(12^(3/4)*sqrt(3)*x^2 - 12^(3/4)*sqrt(3*x^4 + 1) + 2*12^(1/4)*sqrt(3))/x) - 1/48*12^(3/4)*log((6*12^(1/4)*x^3 + 12^(3/4)*x + 2*sqrt(3*x^4 + 1)*(3*x^2 + sqrt(3)))/(3*x^4 - 1)) + 1/48*12^(3/4)*log(-(6*12^(1/4)*x^3 + 12^(3/4)*x - 2*sqrt(3*x^4 + 1)*(3*x^2 + sqrt(3)))/(3*x^4 - 1))","B",0
1240,-1,0,0,0.000000," ","integrate((a*x^2+b)*(a*x^4-b*x^2)^(1/4)/(a*x^2-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1241,-1,0,0,0.000000," ","integrate((2*a*x^2-b)/(a*x^2+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1242,1,79,0,0.666388," ","integrate((x^5+1)^(2/3)/x^6,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{5} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{5} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) - x^{5} \log\left({\left(x^{5} + 1\right)}^{\frac{2}{3}} + {\left(x^{5} + 1\right)}^{\frac{1}{3}} + 1\right) + 2 \, x^{5} \log\left({\left(x^{5} + 1\right)}^{\frac{1}{3}} - 1\right) - 3 \, {\left(x^{5} + 1\right)}^{\frac{2}{3}}}{15 \, x^{5}}"," ",0,"1/15*(2*sqrt(3)*x^5*arctan(2/3*sqrt(3)*(x^5 + 1)^(1/3) + 1/3*sqrt(3)) - x^5*log((x^5 + 1)^(2/3) + (x^5 + 1)^(1/3) + 1) + 2*x^5*log((x^5 + 1)^(1/3) - 1) - 3*(x^5 + 1)^(2/3))/x^5","A",0
1243,1,135,0,5.268504," ","integrate((x^5+1)^(2/3)*(2*x^5-3)/x^3/(x^5-x^3+1),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x^{2} \arctan\left(\frac{67616276 \, \sqrt{3} {\left(x^{5} + 1\right)}^{\frac{1}{3}} x^{2} + 10249526 \, \sqrt{3} {\left(x^{5} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(1423013 \, x^{5} + 37509888 \, x^{3} + 1423013\right)}}{300763 \, x^{5} - 86350888 \, x^{3} + 300763}\right) - x^{2} \log\left(\frac{x^{5} - x^{3} + 3 \, {\left(x^{5} + 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{5} + 1\right)}^{\frac{2}{3}} x + 1}{x^{5} - x^{3} + 1}\right) - 3 \, {\left(x^{5} + 1\right)}^{\frac{2}{3}}}{2 \, x^{2}}"," ",0,"-1/2*(2*sqrt(3)*x^2*arctan((67616276*sqrt(3)*(x^5 + 1)^(1/3)*x^2 + 10249526*sqrt(3)*(x^5 + 1)^(2/3)*x + sqrt(3)*(1423013*x^5 + 37509888*x^3 + 1423013))/(300763*x^5 - 86350888*x^3 + 300763)) - x^2*log((x^5 - x^3 + 3*(x^5 + 1)^(1/3)*x^2 - 3*(x^5 + 1)^(2/3)*x + 1)/(x^5 - x^3 + 1)) - 3*(x^5 + 1)^(2/3))/x^2","A",0
1244,1,135,0,5.295390," ","integrate((x^5-1)^(2/3)*(2*x^5+3)/x^3/(x^5-x^3-1),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x^{2} \arctan\left(\frac{67616276 \, \sqrt{3} {\left(x^{5} - 1\right)}^{\frac{1}{3}} x^{2} + 10249526 \, \sqrt{3} {\left(x^{5} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(1423013 \, x^{5} + 37509888 \, x^{3} - 1423013\right)}}{300763 \, x^{5} - 86350888 \, x^{3} - 300763}\right) - x^{2} \log\left(\frac{x^{5} - x^{3} + 3 \, {\left(x^{5} - 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{5} - 1\right)}^{\frac{2}{3}} x - 1}{x^{5} - x^{3} - 1}\right) - 3 \, {\left(x^{5} - 1\right)}^{\frac{2}{3}}}{2 \, x^{2}}"," ",0,"-1/2*(2*sqrt(3)*x^2*arctan((67616276*sqrt(3)*(x^5 - 1)^(1/3)*x^2 + 10249526*sqrt(3)*(x^5 - 1)^(2/3)*x + sqrt(3)*(1423013*x^5 + 37509888*x^3 - 1423013))/(300763*x^5 - 86350888*x^3 - 300763)) - x^2*log((x^5 - x^3 + 3*(x^5 - 1)^(1/3)*x^2 - 3*(x^5 - 1)^(2/3)*x - 1)/(x^5 - x^3 - 1)) - 3*(x^5 - 1)^(2/3))/x^2","A",0
1245,1,164,0,0.455045," ","integrate((x^6-1)^(1/4)/x,x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{2} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} {\left(x^{6} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{6} - 1} + 1} - \sqrt{2} {\left(x^{6} - 1\right)}^{\frac{1}{4}} - 1\right) + \frac{1}{3} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} {\left(x^{6} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{6} - 1} + 4} - \sqrt{2} {\left(x^{6} - 1\right)}^{\frac{1}{4}} + 1\right) - \frac{1}{12} \, \sqrt{2} \log\left(4 \, \sqrt{2} {\left(x^{6} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{6} - 1} + 4\right) + \frac{1}{12} \, \sqrt{2} \log\left(-4 \, \sqrt{2} {\left(x^{6} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{6} - 1} + 4\right) + \frac{2}{3} \, {\left(x^{6} - 1\right)}^{\frac{1}{4}}"," ",0,"1/3*sqrt(2)*arctan(sqrt(2)*sqrt(sqrt(2)*(x^6 - 1)^(1/4) + sqrt(x^6 - 1) + 1) - sqrt(2)*(x^6 - 1)^(1/4) - 1) + 1/3*sqrt(2)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*(x^6 - 1)^(1/4) + 4*sqrt(x^6 - 1) + 4) - sqrt(2)*(x^6 - 1)^(1/4) + 1) - 1/12*sqrt(2)*log(4*sqrt(2)*(x^6 - 1)^(1/4) + 4*sqrt(x^6 - 1) + 4) + 1/12*sqrt(2)*log(-4*sqrt(2)*(x^6 - 1)^(1/4) + 4*sqrt(x^6 - 1) + 4) + 2/3*(x^6 - 1)^(1/4)","B",0
1246,1,79,0,0.448534," ","integrate(1/x^7/(x^6+1)^(1/3),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x^{6} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{6} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) - x^{6} \log\left({\left(x^{6} + 1\right)}^{\frac{2}{3}} + {\left(x^{6} + 1\right)}^{\frac{1}{3}} + 1\right) + 2 \, x^{6} \log\left({\left(x^{6} + 1\right)}^{\frac{1}{3}} - 1\right) + 6 \, {\left(x^{6} + 1\right)}^{\frac{2}{3}}}{36 \, x^{6}}"," ",0,"-1/36*(2*sqrt(3)*x^6*arctan(2/3*sqrt(3)*(x^6 + 1)^(1/3) + 1/3*sqrt(3)) - x^6*log((x^6 + 1)^(2/3) + (x^6 + 1)^(1/3) + 1) + 2*x^6*log((x^6 + 1)^(1/3) - 1) + 6*(x^6 + 1)^(2/3))/x^6","A",0
1247,1,79,0,0.433666," ","integrate((x^6+1)^(2/3)/x^7,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{6} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{6} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) - x^{6} \log\left({\left(x^{6} + 1\right)}^{\frac{2}{3}} + {\left(x^{6} + 1\right)}^{\frac{1}{3}} + 1\right) + 2 \, x^{6} \log\left({\left(x^{6} + 1\right)}^{\frac{1}{3}} - 1\right) - 3 \, {\left(x^{6} + 1\right)}^{\frac{2}{3}}}{18 \, x^{6}}"," ",0,"1/18*(2*sqrt(3)*x^6*arctan(2/3*sqrt(3)*(x^6 + 1)^(1/3) + 1/3*sqrt(3)) - x^6*log((x^6 + 1)^(2/3) + (x^6 + 1)^(1/3) + 1) + 2*x^6*log((x^6 + 1)^(1/3) - 1) - 3*(x^6 + 1)^(2/3))/x^6","A",0
1248,-1,0,0,0.000000," ","integrate(((k^2-3)*x+2*k^2*x^3)/((-x^2+1)*(-k^2*x^2+1))^(1/4)/(-1+d+(-d*k^2+3)*x^2-3*x^4+x^6),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1249,1,131,0,16.201412," ","integrate((x^7-1)^(2/3)*(4*x^7+3)/x^3/(x^7+x^3-1),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{2} \arctan\left(-\frac{26962 \, \sqrt{3} {\left(x^{7} - 1\right)}^{\frac{1}{3}} x^{2} - 60268 \, \sqrt{3} {\left(x^{7} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(34656 \, x^{7} - 8959 \, x^{3} - 34656\right)}}{54872 \, x^{7} + 4913 \, x^{3} - 54872}\right) + x^{2} \log\left(\frac{x^{7} + x^{3} + 3 \, {\left(x^{7} - 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{7} - 1\right)}^{\frac{2}{3}} x - 1}{x^{7} + x^{3} - 1}\right) + 3 \, {\left(x^{7} - 1\right)}^{\frac{2}{3}}}{2 \, x^{2}}"," ",0,"1/2*(2*sqrt(3)*x^2*arctan(-(26962*sqrt(3)*(x^7 - 1)^(1/3)*x^2 - 60268*sqrt(3)*(x^7 - 1)^(2/3)*x + sqrt(3)*(34656*x^7 - 8959*x^3 - 34656))/(54872*x^7 + 4913*x^3 - 54872)) + x^2*log((x^7 + x^3 + 3*(x^7 - 1)^(1/3)*x^2 + 3*(x^7 - 1)^(2/3)*x - 1)/(x^7 + x^3 - 1)) + 3*(x^7 - 1)^(2/3))/x^2","A",0
1250,1,53,0,0.604384," ","integrate(x/(a^2*x^2-b*x)^(1/2)/(a*x^2+x*(a^2*x^2-b*x)^(1/2))^(3/2),x, algorithm=""fricas"")","\frac{4 \, \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x} {\left(5 \, a x - \sqrt{a^{2} x^{2} - b x}\right)}}{3 \, b^{2} x^{2}}"," ",0,"4/3*sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x)*(5*a*x - sqrt(a^2*x^2 - b*x))/(b^2*x^2)","A",0
1251,1,791,0,0.698640," ","integrate((-(a*b)^(1/2)+x)/(x*(a+x)*(b+x))^(1/2)/((a*b)^(1/2)+x),x, algorithm=""fricas"")","\left[-\frac{\sqrt{a + b + 2 \, \sqrt{a b}} \log\left(-\frac{a^{5} b^{4} - a^{4} b^{5} + {\left(a - b\right)} x^{8} + 8 \, {\left(a^{2} - b^{2}\right)} x^{7} + 4 \, {\left(2 \, a^{3} + 17 \, a^{2} b - 17 \, a b^{2} - 2 \, b^{3}\right)} x^{6} + 120 \, {\left(a^{3} b - a b^{3}\right)} x^{5} + 2 \, {\left(24 \, a^{4} b + 91 \, a^{3} b^{2} - 91 \, a^{2} b^{3} - 24 \, a b^{4}\right)} x^{4} + 120 \, {\left(a^{4} b^{2} - a^{2} b^{4}\right)} x^{3} + 4 \, {\left(2 \, a^{5} b^{2} + 17 \, a^{4} b^{3} - 17 \, a^{3} b^{4} - 2 \, a^{2} b^{5}\right)} x^{2} + 4 \, {\left(a^{4} b^{3} + a^{3} b^{4} + {\left(a + b\right)} x^{6} + 2 \, {\left(a^{2} + 8 \, a b + b^{2}\right)} x^{5} + 31 \, {\left(a^{2} b + a b^{2}\right)} x^{4} + 4 \, {\left(3 \, a^{3} b + 16 \, a^{2} b^{2} + 3 \, a b^{3}\right)} x^{3} + 31 \, {\left(a^{3} b^{2} + a^{2} b^{3}\right)} x^{2} + 2 \, {\left(a^{4} b^{2} + 8 \, a^{3} b^{3} + a^{2} b^{4}\right)} x - 2 \, {\left(a^{3} b^{3} + 5 \, {\left(a + b\right)} x^{5} + x^{6} + {\left(4 \, a^{2} + 23 \, a b + 4 \, b^{2}\right)} x^{4} + 22 \, {\left(a^{2} b + a b^{2}\right)} x^{3} + {\left(4 \, a^{3} b + 23 \, a^{2} b^{2} + 4 \, a b^{3}\right)} x^{2} + 5 \, {\left(a^{3} b^{2} + a^{2} b^{3}\right)} x\right)} \sqrt{a b}\right)} \sqrt{a b x + {\left(a + b\right)} x^{2} + x^{3}} \sqrt{a + b + 2 \, \sqrt{a b}} + 8 \, {\left(a^{5} b^{3} - a^{3} b^{5}\right)} x - 16 \, {\left({\left(a - b\right)} x^{7} + 3 \, {\left(a^{2} - b^{2}\right)} x^{6} + {\left(2 \, a^{3} + 9 \, a^{2} b - 9 \, a b^{2} - 2 \, b^{3}\right)} x^{5} + 10 \, {\left(a^{3} b - a b^{3}\right)} x^{4} + {\left(2 \, a^{4} b + 9 \, a^{3} b^{2} - 9 \, a^{2} b^{3} - 2 \, a b^{4}\right)} x^{3} + 3 \, {\left(a^{4} b^{2} - a^{2} b^{4}\right)} x^{2} + {\left(a^{4} b^{3} - a^{3} b^{4}\right)} x\right)} \sqrt{a b}}{a^{4} b^{4} - 4 \, a^{3} b^{3} x^{2} + 6 \, a^{2} b^{2} x^{4} - 4 \, a b x^{6} + x^{8}}\right)}{2 \, {\left(a - b\right)}}, \frac{\sqrt{-a - b - 2 \, \sqrt{a b}} \arctan\left(\frac{\sqrt{a b x + {\left(a + b\right)} x^{2} + x^{3}} {\left(a b + 2 \, {\left(a + b\right)} x + x^{2} - 2 \, \sqrt{a b} x\right)} \sqrt{-a - b - 2 \, \sqrt{a b}}}{2 \, {\left({\left(a - b\right)} x^{3} + {\left(a^{2} - b^{2}\right)} x^{2} + {\left(a^{2} b - a b^{2}\right)} x\right)}}\right)}{a - b}\right]"," ",0,"[-1/2*sqrt(a + b + 2*sqrt(a*b))*log(-(a^5*b^4 - a^4*b^5 + (a - b)*x^8 + 8*(a^2 - b^2)*x^7 + 4*(2*a^3 + 17*a^2*b - 17*a*b^2 - 2*b^3)*x^6 + 120*(a^3*b - a*b^3)*x^5 + 2*(24*a^4*b + 91*a^3*b^2 - 91*a^2*b^3 - 24*a*b^4)*x^4 + 120*(a^4*b^2 - a^2*b^4)*x^3 + 4*(2*a^5*b^2 + 17*a^4*b^3 - 17*a^3*b^4 - 2*a^2*b^5)*x^2 + 4*(a^4*b^3 + a^3*b^4 + (a + b)*x^6 + 2*(a^2 + 8*a*b + b^2)*x^5 + 31*(a^2*b + a*b^2)*x^4 + 4*(3*a^3*b + 16*a^2*b^2 + 3*a*b^3)*x^3 + 31*(a^3*b^2 + a^2*b^3)*x^2 + 2*(a^4*b^2 + 8*a^3*b^3 + a^2*b^4)*x - 2*(a^3*b^3 + 5*(a + b)*x^5 + x^6 + (4*a^2 + 23*a*b + 4*b^2)*x^4 + 22*(a^2*b + a*b^2)*x^3 + (4*a^3*b + 23*a^2*b^2 + 4*a*b^3)*x^2 + 5*(a^3*b^2 + a^2*b^3)*x)*sqrt(a*b))*sqrt(a*b*x + (a + b)*x^2 + x^3)*sqrt(a + b + 2*sqrt(a*b)) + 8*(a^5*b^3 - a^3*b^5)*x - 16*((a - b)*x^7 + 3*(a^2 - b^2)*x^6 + (2*a^3 + 9*a^2*b - 9*a*b^2 - 2*b^3)*x^5 + 10*(a^3*b - a*b^3)*x^4 + (2*a^4*b + 9*a^3*b^2 - 9*a^2*b^3 - 2*a*b^4)*x^3 + 3*(a^4*b^2 - a^2*b^4)*x^2 + (a^4*b^3 - a^3*b^4)*x)*sqrt(a*b))/(a^4*b^4 - 4*a^3*b^3*x^2 + 6*a^2*b^2*x^4 - 4*a*b*x^6 + x^8))/(a - b), sqrt(-a - b - 2*sqrt(a*b))*arctan(1/2*sqrt(a*b*x + (a + b)*x^2 + x^3)*(a*b + 2*(a + b)*x + x^2 - 2*sqrt(a*b)*x)*sqrt(-a - b - 2*sqrt(a*b))/((a - b)*x^3 + (a^2 - b^2)*x^2 + (a^2*b - a*b^2)*x))/(a - b)]","A",0
1252,1,92,0,0.489651," ","integrate(1/(x^3-x^2)^(1/3),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) - \log\left(-\frac{x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, \log\left(\frac{x^{2} + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 - x^2)^(1/3))/x) - log(-(x - (x^3 - x^2)^(1/3))/x) + 1/2*log((x^2 + (x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(2/3))/x^2)","A",0
1253,-2,0,0,0.000000," ","integrate((-x^2+3)/(-x^2+1)/(x^4-6*x^2+1)^(1/4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
1254,1,228,0,82.814294," ","integrate((x^4-3)/(x^4+1)/(-3*x^5+4*x^4-3*x)^(1/4),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{2 \, \sqrt{2} {\left(-3 \, x^{5} + 4 \, x^{4} - 3 \, x\right)}^{\frac{3}{4}} x + \sqrt{2} {\left(-3 \, x^{5} + 4 \, x^{4} - 3 \, x\right)}^{\frac{1}{4}} {\left(3 \, x^{4} - 4 \, x^{3} + 3\right)}}{4 \, {\left(3 \, x^{5} - 4 \, x^{4} + 3 \, x\right)}}\right) + \frac{1}{4} \, \sqrt{2} \log\left(\frac{9 \, x^{8} - 192 \, x^{7} + 256 \, x^{6} + 18 \, x^{4} - 192 \, x^{3} + 4 \, \sqrt{2} {\left(-3 \, x^{5} + 4 \, x^{4} - 3 \, x\right)}^{\frac{3}{4}} {\left(3 \, x^{4} - 16 \, x^{3} + 3\right)} + 8 \, \sqrt{2} {\left(9 \, x^{6} - 16 \, x^{5} + 9 \, x^{2}\right)} {\left(-3 \, x^{5} + 4 \, x^{4} - 3 \, x\right)}^{\frac{1}{4}} - 16 \, {\left(3 \, x^{5} - 8 \, x^{4} + 3 \, x\right)} \sqrt{-3 \, x^{5} + 4 \, x^{4} - 3 \, x} + 9}{x^{8} + 2 \, x^{4} + 1}\right)"," ",0,"1/2*sqrt(2)*arctan(1/4*(2*sqrt(2)*(-3*x^5 + 4*x^4 - 3*x)^(3/4)*x + sqrt(2)*(-3*x^5 + 4*x^4 - 3*x)^(1/4)*(3*x^4 - 4*x^3 + 3))/(3*x^5 - 4*x^4 + 3*x)) + 1/4*sqrt(2)*log((9*x^8 - 192*x^7 + 256*x^6 + 18*x^4 - 192*x^3 + 4*sqrt(2)*(-3*x^5 + 4*x^4 - 3*x)^(3/4)*(3*x^4 - 16*x^3 + 3) + 8*sqrt(2)*(9*x^6 - 16*x^5 + 9*x^2)*(-3*x^5 + 4*x^4 - 3*x)^(1/4) - 16*(3*x^5 - 8*x^4 + 3*x)*sqrt(-3*x^5 + 4*x^4 - 3*x) + 9)/(x^8 + 2*x^4 + 1))","B",0
1255,1,128,0,13.837343," ","integrate((x^6-1)^(1/3)*(x^6+1)/x^2/(x^6+x^3-1),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x \arctan\left(\frac{17707979315346691547103487078601066282657059082726673278841963389300888497059669011634 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{2} + 18779074824464902023518972945875034013564452605964125877184864112405550428883609929964 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(8791266734992875261237504664599259772605087326251698970792557525513888268399719816592 \, x^{6} + 9326814489551980499445247598236243638058784087870425269964007887066219234311690275757 \, x^{3} - 8791266734992875261237504664599259772605087326251698970792557525513888268399719816592\right)}}{3 \, {\left(9923243904393545413458713816471868889492119646716071835561526356358143878603884871272 \, x^{6} - 8320283165512251371852516195766181258618636197629327742451887394495075584367754599527 \, x^{3} - 9923243904393545413458713816471868889492119646716071835561526356358143878603884871272\right)}}\right) - x \log\left(\frac{x^{6} + x^{3} + 3 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{6} - 1\right)}^{\frac{2}{3}} x - 1}{x^{6} + x^{3} - 1}\right) + 6 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{6 \, x}"," ",0,"1/6*(2*sqrt(3)*x*arctan(1/3*(17707979315346691547103487078601066282657059082726673278841963389300888497059669011634*sqrt(3)*(x^6 - 1)^(1/3)*x^2 + 18779074824464902023518972945875034013564452605964125877184864112405550428883609929964*sqrt(3)*(x^6 - 1)^(2/3)*x + sqrt(3)*(8791266734992875261237504664599259772605087326251698970792557525513888268399719816592*x^6 + 9326814489551980499445247598236243638058784087870425269964007887066219234311690275757*x^3 - 8791266734992875261237504664599259772605087326251698970792557525513888268399719816592))/(9923243904393545413458713816471868889492119646716071835561526356358143878603884871272*x^6 - 8320283165512251371852516195766181258618636197629327742451887394495075584367754599527*x^3 - 9923243904393545413458713816471868889492119646716071835561526356358143878603884871272)) - x*log((x^6 + x^3 + 3*(x^6 - 1)^(1/3)*x^2 + 3*(x^6 - 1)^(2/3)*x - 1)/(x^6 + x^3 - 1)) + 6*(x^6 - 1)^(1/3))/x","A",0
1256,1,95,0,0.569671," ","integrate((x^4-1)*(x^4+1)^(1/2)/(x^8+x^6+3*x^4+x^2+1),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(x^{4} - x^{2} + 1\right)} \sqrt{x^{4} + 1}}{3 \, {\left(x^{5} + x\right)}}\right) + \frac{1}{4} \, \log\left(\frac{x^{8} + 3 \, x^{6} + 3 \, x^{4} + 3 \, x^{2} - 2 \, {\left(x^{5} + x^{3} + x\right)} \sqrt{x^{4} + 1} + 1}{x^{8} + x^{6} + 3 \, x^{4} + x^{2} + 1}\right)"," ",0,"1/6*sqrt(3)*arctan(1/3*sqrt(3)*(x^4 - x^2 + 1)*sqrt(x^4 + 1)/(x^5 + x)) + 1/4*log((x^8 + 3*x^6 + 3*x^4 + 3*x^2 - 2*(x^5 + x^3 + x)*sqrt(x^4 + 1) + 1)/(x^8 + x^6 + 3*x^4 + x^2 + 1))","A",0
1257,1,197,0,0.449006," ","integrate((2*x^8-1)/(x^4+1)^(1/4)/(x^8-1),x, algorithm=""fricas"")","-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{4} + 1\right)} \arctan\left(\frac{2^{\frac{3}{4}} x \sqrt{\frac{\sqrt{2} x^{2} + \sqrt{x^{4} + 1}}{x^{2}}} - 2^{\frac{3}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{2 \, x}\right) + 2^{\frac{3}{4}} {\left(x^{4} + 1\right)} \log\left(\frac{2^{\frac{1}{4}} x + {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) - 2^{\frac{3}{4}} {\left(x^{4} + 1\right)} \log\left(-\frac{2^{\frac{1}{4}} x - {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) + 16 \, {\left(x^{4} + 1\right)} \arctan\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) - 8 \, {\left(x^{4} + 1\right)} \log\left(\frac{x + {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) + 8 \, {\left(x^{4} + 1\right)} \log\left(-\frac{x - {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) + 8 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x}{16 \, {\left(x^{4} + 1\right)}}"," ",0,"-1/16*(4*2^(3/4)*(x^4 + 1)*arctan(1/2*(2^(3/4)*x*sqrt((sqrt(2)*x^2 + sqrt(x^4 + 1))/x^2) - 2^(3/4)*(x^4 + 1)^(1/4))/x) + 2^(3/4)*(x^4 + 1)*log((2^(1/4)*x + (x^4 + 1)^(1/4))/x) - 2^(3/4)*(x^4 + 1)*log(-(2^(1/4)*x - (x^4 + 1)^(1/4))/x) + 16*(x^4 + 1)*arctan((x^4 + 1)^(1/4)/x) - 8*(x^4 + 1)*log((x + (x^4 + 1)^(1/4))/x) + 8*(x^4 + 1)*log(-(x - (x^4 + 1)^(1/4))/x) + 8*(x^4 + 1)^(3/4)*x)/(x^4 + 1)","B",0
1258,-1,0,0,0.000000," ","integrate((a*x^8+b*x^5)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1259,1,50,0,0.598481," ","integrate((x-(x^2+1)^(1/2))^(1/2)/(1-(x^2+1)^(1/2)),x, algorithm=""fricas"")","-\frac{2 \, x \arctan\left(\sqrt{x - \sqrt{x^{2} + 1}}\right) - {\left(3 \, x + \sqrt{x^{2} + 1} + 1\right)} \sqrt{x - \sqrt{x^{2} + 1}}}{x}"," ",0,"-(2*x*arctan(sqrt(x - sqrt(x^2 + 1))) - (3*x + sqrt(x^2 + 1) + 1)*sqrt(x - sqrt(x^2 + 1)))/x","A",0
1260,1,98,0,1.013836," ","integrate((-1+x)*(3+x)/(x^2-1)^(2/3)/(x^2-x+2),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{4 \, \sqrt{3} {\left(x^{2} - 1\right)}^{\frac{1}{3}} {\left(x - 1\right)} + \sqrt{3} {\left(x + 1\right)} + 2 \, \sqrt{3} {\left(x^{2} - 1\right)}^{\frac{2}{3}}}{8 \, x^{2} - 17 \, x + 7}\right) - \frac{1}{2} \, \log\left(\frac{x^{2} + 3 \, {\left(x^{2} - 1\right)}^{\frac{1}{3}} {\left(x - 1\right)} - x + 3 \, {\left(x^{2} - 1\right)}^{\frac{2}{3}} + 2}{x^{2} - x + 2}\right)"," ",0,"-sqrt(3)*arctan((4*sqrt(3)*(x^2 - 1)^(1/3)*(x - 1) + sqrt(3)*(x + 1) + 2*sqrt(3)*(x^2 - 1)^(2/3))/(8*x^2 - 17*x + 7)) - 1/2*log((x^2 + 3*(x^2 - 1)^(1/3)*(x - 1) - x + 3*(x^2 - 1)^(2/3) + 2)/(x^2 - x + 2))","A",0
1261,1,81,0,0.445391," ","integrate((x^3-1)^(1/3)/x^4,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) - x^{3} \log\left({\left(x^{3} - 1\right)}^{\frac{2}{3}} - {\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) + 2 \, x^{3} \log\left({\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) - 6 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{18 \, x^{3}}"," ",0,"1/18*(2*sqrt(3)*x^3*arctan(2/3*sqrt(3)*(x^3 - 1)^(1/3) - 1/3*sqrt(3)) - x^3*log((x^3 - 1)^(2/3) - (x^3 - 1)^(1/3) + 1) + 2*x^3*log((x^3 - 1)^(1/3) + 1) - 6*(x^3 - 1)^(1/3))/x^3","A",0
1262,1,80,0,0.507428," ","integrate((x^3-1)^(2/3)/x^4,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) + x^{3} \log\left({\left(x^{3} - 1\right)}^{\frac{2}{3}} - {\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) - 2 \, x^{3} \log\left({\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) - 3 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{9 \, x^{3}}"," ",0,"1/9*(2*sqrt(3)*x^3*arctan(2/3*sqrt(3)*(x^3 - 1)^(1/3) - 1/3*sqrt(3)) + x^3*log((x^3 - 1)^(2/3) - (x^3 - 1)^(1/3) + 1) - 2*x^3*log((x^3 - 1)^(1/3) + 1) - 3*(x^3 - 1)^(2/3))/x^3","A",0
1263,1,100,0,0.788558," ","integrate((x^3+1)^(1/3)/x^2,x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x \arctan\left(-\frac{25382 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 13720 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(5831 \, x^{3} + 7200\right)}}{58653 \, x^{3} + 8000}\right) + x \log\left(3 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + 1\right) + 6 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{6 \, x}"," ",0,"-1/6*(2*sqrt(3)*x*arctan(-(25382*sqrt(3)*(x^3 + 1)^(1/3)*x^2 - 13720*sqrt(3)*(x^3 + 1)^(2/3)*x + sqrt(3)*(5831*x^3 + 7200))/(58653*x^3 + 8000)) + x*log(3*(x^3 + 1)^(1/3)*x^2 - 3*(x^3 + 1)^(2/3)*x + 1) + 6*(x^3 + 1)^(1/3))/x","A",0
1264,-2,0,0,0.000000," ","integrate((-1+x)/(1+x)/(x^3+2)^(1/3),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
1265,1,216,0,0.528480," ","integrate(1/x^7/(a*x^3+b)^(3/4),x, algorithm=""fricas"")","\frac{84 \, b^{2} x^{6} \left(\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{3} + b\right)}^{\frac{1}{4}} a^{2} b^{8} \left(\frac{a^{8}}{b^{11}}\right)^{\frac{3}{4}} - \sqrt{b^{6} \sqrt{\frac{a^{8}}{b^{11}}} + \sqrt{a x^{3} + b} a^{4}} b^{8} \left(\frac{a^{8}}{b^{11}}\right)^{\frac{3}{4}}}{a^{8}}\right) - 21 \, b^{2} x^{6} \left(\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} \log\left(7 \, b^{3} \left(\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} + 7 \, {\left(a x^{3} + b\right)}^{\frac{1}{4}} a^{2}\right) + 21 \, b^{2} x^{6} \left(\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} \log\left(-7 \, b^{3} \left(\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} + 7 \, {\left(a x^{3} + b\right)}^{\frac{1}{4}} a^{2}\right) + 4 \, {\left(7 \, a x^{3} - 4 \, b\right)} {\left(a x^{3} + b\right)}^{\frac{1}{4}}}{96 \, b^{2} x^{6}}"," ",0,"1/96*(84*b^2*x^6*(a^8/b^11)^(1/4)*arctan(-((a*x^3 + b)^(1/4)*a^2*b^8*(a^8/b^11)^(3/4) - sqrt(b^6*sqrt(a^8/b^11) + sqrt(a*x^3 + b)*a^4)*b^8*(a^8/b^11)^(3/4))/a^8) - 21*b^2*x^6*(a^8/b^11)^(1/4)*log(7*b^3*(a^8/b^11)^(1/4) + 7*(a*x^3 + b)^(1/4)*a^2) + 21*b^2*x^6*(a^8/b^11)^(1/4)*log(-7*b^3*(a^8/b^11)^(1/4) + 7*(a*x^3 + b)^(1/4)*a^2) + 4*(7*a*x^3 - 4*b)*(a*x^3 + b)^(1/4))/(b^2*x^6)","B",0
1266,-1,0,0,0.000000," ","integrate((x^2+2*x+1)*(-2-(-1+k)*(1+k)*x+2*k^2*x^2)/((-x^2+1)*(-k^2*x^2+1))^(3/4)/(1-d-(1+3*d)*x-(k^2+3*d)*x^2+(k^2-d)*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1267,1,80,0,0.470190," ","integrate(1/x^5/(x^4-1)^(1/3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{4} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{4} - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) + x^{4} \log\left({\left(x^{4} - 1\right)}^{\frac{2}{3}} - {\left(x^{4} - 1\right)}^{\frac{1}{3}} + 1\right) - 2 \, x^{4} \log\left({\left(x^{4} - 1\right)}^{\frac{1}{3}} + 1\right) + 6 \, {\left(x^{4} - 1\right)}^{\frac{2}{3}}}{24 \, x^{4}}"," ",0,"1/24*(2*sqrt(3)*x^4*arctan(2/3*sqrt(3)*(x^4 - 1)^(1/3) - 1/3*sqrt(3)) + x^4*log((x^4 - 1)^(2/3) - (x^4 - 1)^(1/3) + 1) - 2*x^4*log((x^4 - 1)^(1/3) + 1) + 6*(x^4 - 1)^(2/3))/x^4","A",0
1268,1,339,0,0.988175," ","integrate(x*(-b+x)*(a*b-2*a*x+x^2)/(x*(-a+x)*(-b+x))^(1/2)/(-a^2*d+2*a*d*x+(b^2-d)*x^2-2*b*x^3+x^4),x, algorithm=""fricas"")","-\frac{\arctan\left(-\frac{\sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} d^{\frac{1}{4}}}{b x - x^{2}}\right)}{d^{\frac{1}{4}}} - \frac{\log\left(\frac{2 \, b x^{3} - x^{4} - a^{2} d + 2 \, a d x - {\left(b^{2} + d\right)} x^{2} + 2 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left(\frac{a d - d x}{d^{\frac{1}{4}}} + \frac{b d x - d x^{2}}{d^{\frac{3}{4}}}\right)} - \frac{2 \, {\left(a b d x - {\left(a + b\right)} d x^{2} + d x^{3}\right)}}{\sqrt{d}}}{2 \, b x^{3} - x^{4} + a^{2} d - 2 \, a d x - {\left(b^{2} - d\right)} x^{2}}\right)}{4 \, d^{\frac{1}{4}}} + \frac{\log\left(\frac{2 \, b x^{3} - x^{4} - a^{2} d + 2 \, a d x - {\left(b^{2} + d\right)} x^{2} - 2 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left(\frac{a d - d x}{d^{\frac{1}{4}}} + \frac{b d x - d x^{2}}{d^{\frac{3}{4}}}\right)} - \frac{2 \, {\left(a b d x - {\left(a + b\right)} d x^{2} + d x^{3}\right)}}{\sqrt{d}}}{2 \, b x^{3} - x^{4} + a^{2} d - 2 \, a d x - {\left(b^{2} - d\right)} x^{2}}\right)}{4 \, d^{\frac{1}{4}}}"," ",0,"-arctan(-sqrt(a*b*x - (a + b)*x^2 + x^3)*d^(1/4)/(b*x - x^2))/d^(1/4) - 1/4*log((2*b*x^3 - x^4 - a^2*d + 2*a*d*x - (b^2 + d)*x^2 + 2*sqrt(a*b*x - (a + b)*x^2 + x^3)*((a*d - d*x)/d^(1/4) + (b*d*x - d*x^2)/d^(3/4)) - 2*(a*b*d*x - (a + b)*d*x^2 + d*x^3)/sqrt(d))/(2*b*x^3 - x^4 + a^2*d - 2*a*d*x - (b^2 - d)*x^2))/d^(1/4) + 1/4*log((2*b*x^3 - x^4 - a^2*d + 2*a*d*x - (b^2 + d)*x^2 - 2*sqrt(a*b*x - (a + b)*x^2 + x^3)*((a*d - d*x)/d^(1/4) + (b*d*x - d*x^2)/d^(3/4)) - 2*(a*b*d*x - (a + b)*d*x^2 + d*x^3)/sqrt(d))/(2*b*x^3 - x^4 + a^2*d - 2*a*d*x - (b^2 - d)*x^2))/d^(1/4)","B",0
1269,1,216,0,0.467044," ","integrate(1/x^9/(a*x^4+b)^(3/4),x, algorithm=""fricas"")","\frac{84 \, b^{2} x^{8} \left(\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}} a^{2} b^{8} \left(\frac{a^{8}}{b^{11}}\right)^{\frac{3}{4}} - \sqrt{b^{6} \sqrt{\frac{a^{8}}{b^{11}}} + \sqrt{a x^{4} + b} a^{4}} b^{8} \left(\frac{a^{8}}{b^{11}}\right)^{\frac{3}{4}}}{a^{8}}\right) - 21 \, b^{2} x^{8} \left(\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} \log\left(21 \, b^{3} \left(\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} + 21 \, {\left(a x^{4} + b\right)}^{\frac{1}{4}} a^{2}\right) + 21 \, b^{2} x^{8} \left(\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} \log\left(-21 \, b^{3} \left(\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} + 21 \, {\left(a x^{4} + b\right)}^{\frac{1}{4}} a^{2}\right) + 4 \, {\left(7 \, a x^{4} - 4 \, b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{128 \, b^{2} x^{8}}"," ",0,"1/128*(84*b^2*x^8*(a^8/b^11)^(1/4)*arctan(-((a*x^4 + b)^(1/4)*a^2*b^8*(a^8/b^11)^(3/4) - sqrt(b^6*sqrt(a^8/b^11) + sqrt(a*x^4 + b)*a^4)*b^8*(a^8/b^11)^(3/4))/a^8) - 21*b^2*x^8*(a^8/b^11)^(1/4)*log(21*b^3*(a^8/b^11)^(1/4) + 21*(a*x^4 + b)^(1/4)*a^2) + 21*b^2*x^8*(a^8/b^11)^(1/4)*log(-21*b^3*(a^8/b^11)^(1/4) + 21*(a*x^4 + b)^(1/4)*a^2) + 4*(7*a*x^4 - 4*b)*(a*x^4 + b)^(1/4))/(b^2*x^8)","B",0
1270,1,218,0,0.493119," ","integrate(x^4*(a*x^4+b)^(3/4),x, algorithm=""fricas"")","-\frac{12 \, \left(\frac{b^{8}}{a^{5}}\right)^{\frac{1}{4}} a \arctan\left(-\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}} \left(\frac{b^{8}}{a^{5}}\right)^{\frac{1}{4}} a b^{6} - \left(\frac{b^{8}}{a^{5}}\right)^{\frac{1}{4}} a x \sqrt{\frac{\sqrt{\frac{b^{8}}{a^{5}}} a^{3} b^{8} x^{2} + \sqrt{a x^{4} + b} b^{12}}{x^{2}}}}{b^{8} x}\right) + 3 \, \left(\frac{b^{8}}{a^{5}}\right)^{\frac{1}{4}} a \log\left(\frac{27 \, {\left({\left(a x^{4} + b\right)}^{\frac{1}{4}} b^{6} + \left(\frac{b^{8}}{a^{5}}\right)^{\frac{3}{4}} a^{4} x\right)}}{x}\right) - 3 \, \left(\frac{b^{8}}{a^{5}}\right)^{\frac{1}{4}} a \log\left(\frac{27 \, {\left({\left(a x^{4} + b\right)}^{\frac{1}{4}} b^{6} - \left(\frac{b^{8}}{a^{5}}\right)^{\frac{3}{4}} a^{4} x\right)}}{x}\right) - 4 \, {\left(4 \, a x^{5} + 3 \, b x\right)} {\left(a x^{4} + b\right)}^{\frac{3}{4}}}{128 \, a}"," ",0,"-1/128*(12*(b^8/a^5)^(1/4)*a*arctan(-((a*x^4 + b)^(1/4)*(b^8/a^5)^(1/4)*a*b^6 - (b^8/a^5)^(1/4)*a*x*sqrt((sqrt(b^8/a^5)*a^3*b^8*x^2 + sqrt(a*x^4 + b)*b^12)/x^2))/(b^8*x)) + 3*(b^8/a^5)^(1/4)*a*log(27*((a*x^4 + b)^(1/4)*b^6 + (b^8/a^5)^(3/4)*a^4*x)/x) - 3*(b^8/a^5)^(1/4)*a*log(27*((a*x^4 + b)^(1/4)*b^6 - (b^8/a^5)^(3/4)*a^4*x)/x) - 4*(4*a*x^5 + 3*b*x)*(a*x^4 + b)^(3/4))/a","B",0
1271,1,2783,0,0.715641," ","integrate((a*x^4-b*x^3)^(1/4)/x/(c*x+x^2+d),x, algorithm=""fricas"")","-2 \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{b c + 2 \, a d + {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} {\left(b^{3} c^{4} - 8 \, b^{3} c^{2} d + 16 \, b^{3} d^{2} - {\left(b^{2} c^{7} d - 128 \, a b d^{5} + 32 \, {\left(3 \, a b c^{2} - 2 \, b^{2} c\right)} d^{4} - 24 \, {\left(a b c^{4} - 2 \, b^{2} c^{3}\right)} d^{3} + 2 \, {\left(a b c^{6} - 6 \, b^{2} c^{5}\right)} d^{2}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}\right)} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} \sqrt{\frac{b c + 2 \, a d + {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}} + {\left({\left(b c^{7} d - 128 \, a d^{5} + 32 \, {\left(3 \, a c^{2} - 2 \, b c\right)} d^{4} - 24 \, {\left(a c^{4} - 2 \, b c^{3}\right)} d^{3} + 2 \, {\left(a c^{6} - 6 \, b c^{5}\right)} d^{2}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}} x - {\left(b^{2} c^{4} - 8 \, b^{2} c^{2} d + 16 \, b^{2} d^{2}\right)} x\right)} \sqrt{\frac{b c + 2 \, a d + {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}} \sqrt{\frac{\sqrt{2} {\left(b^{2} c^{2} - 4 \, b^{2} d\right)} x^{2} \sqrt{\frac{b c + 2 \, a d + {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}} + 2 \, \sqrt{a x^{4} - b x^{3}} b^{2}}{x^{2}}}\right)} \sqrt{\sqrt{2} \sqrt{\frac{b c + 2 \, a d + {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}}}}{8 \, {\left(a b^{3} c + a^{2} b^{2} d + b^{4}\right)} x}\right) + 2 \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{b c + 2 \, a d - {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} {\left(b^{3} c^{4} - 8 \, b^{3} c^{2} d + 16 \, b^{3} d^{2} + {\left(b^{2} c^{7} d - 128 \, a b d^{5} + 32 \, {\left(3 \, a b c^{2} - 2 \, b^{2} c\right)} d^{4} - 24 \, {\left(a b c^{4} - 2 \, b^{2} c^{3}\right)} d^{3} + 2 \, {\left(a b c^{6} - 6 \, b^{2} c^{5}\right)} d^{2}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}\right)} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} \sqrt{\frac{b c + 2 \, a d - {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}} - {\left({\left(b c^{7} d - 128 \, a d^{5} + 32 \, {\left(3 \, a c^{2} - 2 \, b c\right)} d^{4} - 24 \, {\left(a c^{4} - 2 \, b c^{3}\right)} d^{3} + 2 \, {\left(a c^{6} - 6 \, b c^{5}\right)} d^{2}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}} x + {\left(b^{2} c^{4} - 8 \, b^{2} c^{2} d + 16 \, b^{2} d^{2}\right)} x\right)} \sqrt{\frac{b c + 2 \, a d - {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}} \sqrt{\frac{\sqrt{2} {\left(b^{2} c^{2} - 4 \, b^{2} d\right)} x^{2} \sqrt{\frac{b c + 2 \, a d - {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}} + 2 \, \sqrt{a x^{4} - b x^{3}} b^{2}}{x^{2}}}\right)} \sqrt{\sqrt{2} \sqrt{\frac{b c + 2 \, a d - {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}}}}{8 \, {\left(a b^{3} c + a^{2} b^{2} d + b^{4}\right)} x}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{b c + 2 \, a d + {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}}} \log\left(\frac{\sqrt{2} {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}} x \sqrt{\sqrt{2} \sqrt{\frac{b c + 2 \, a d + {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}}} + 2 \, {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} b}{x}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{b c + 2 \, a d + {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}}} \log\left(-\frac{\sqrt{2} {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}} x \sqrt{\sqrt{2} \sqrt{\frac{b c + 2 \, a d + {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}}} - 2 \, {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} b}{x}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{b c + 2 \, a d - {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}}} \log\left(\frac{\sqrt{2} {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}} x \sqrt{\sqrt{2} \sqrt{\frac{b c + 2 \, a d - {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}}} + 2 \, {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} b}{x}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{b c + 2 \, a d - {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}}} \log\left(-\frac{\sqrt{2} {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}} x \sqrt{\sqrt{2} \sqrt{\frac{b c + 2 \, a d - {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}}} - 2 \, {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} b}{x}\right)"," ",0,"-2*sqrt(2)*sqrt(sqrt(2)*sqrt((b*c + 2*a*d + (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3)))*arctan(-1/8*sqrt(2)*(sqrt(2)*(b^3*c^4 - 8*b^3*c^2*d + 16*b^3*d^2 - (b^2*c^7*d - 128*a*b*d^5 + 32*(3*a*b*c^2 - 2*b^2*c)*d^4 - 24*(a*b*c^4 - 2*b^2*c^3)*d^3 + 2*(a*b*c^6 - 6*b^2*c^5)*d^2)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))*(a*x^4 - b*x^3)^(1/4)*sqrt((b*c + 2*a*d + (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3)) + ((b*c^7*d - 128*a*d^5 + 32*(3*a*c^2 - 2*b*c)*d^4 - 24*(a*c^4 - 2*b*c^3)*d^3 + 2*(a*c^6 - 6*b*c^5)*d^2)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5))*x - (b^2*c^4 - 8*b^2*c^2*d + 16*b^2*d^2)*x)*sqrt((b*c + 2*a*d + (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3))*sqrt((sqrt(2)*(b^2*c^2 - 4*b^2*d)*x^2*sqrt((b*c + 2*a*d + (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3)) + 2*sqrt(a*x^4 - b*x^3)*b^2)/x^2))*sqrt(sqrt(2)*sqrt((b*c + 2*a*d + (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3)))/((a*b^3*c + a^2*b^2*d + b^4)*x)) + 2*sqrt(2)*sqrt(sqrt(2)*sqrt((b*c + 2*a*d - (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3)))*arctan(1/8*sqrt(2)*(sqrt(2)*(b^3*c^4 - 8*b^3*c^2*d + 16*b^3*d^2 + (b^2*c^7*d - 128*a*b*d^5 + 32*(3*a*b*c^2 - 2*b^2*c)*d^4 - 24*(a*b*c^4 - 2*b^2*c^3)*d^3 + 2*(a*b*c^6 - 6*b^2*c^5)*d^2)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))*(a*x^4 - b*x^3)^(1/4)*sqrt((b*c + 2*a*d - (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3)) - ((b*c^7*d - 128*a*d^5 + 32*(3*a*c^2 - 2*b*c)*d^4 - 24*(a*c^4 - 2*b*c^3)*d^3 + 2*(a*c^6 - 6*b*c^5)*d^2)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5))*x + (b^2*c^4 - 8*b^2*c^2*d + 16*b^2*d^2)*x)*sqrt((b*c + 2*a*d - (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3))*sqrt((sqrt(2)*(b^2*c^2 - 4*b^2*d)*x^2*sqrt((b*c + 2*a*d - (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3)) + 2*sqrt(a*x^4 - b*x^3)*b^2)/x^2))*sqrt(sqrt(2)*sqrt((b*c + 2*a*d - (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3)))/((a*b^3*c + a^2*b^2*d + b^4)*x)) - 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((b*c + 2*a*d + (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3)))*log((sqrt(2)*(c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5))*x*sqrt(sqrt(2)*sqrt((b*c + 2*a*d + (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3))) + 2*(a*x^4 - b*x^3)^(1/4)*b)/x) + 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((b*c + 2*a*d + (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3)))*log(-(sqrt(2)*(c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5))*x*sqrt(sqrt(2)*sqrt((b*c + 2*a*d + (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3))) - 2*(a*x^4 - b*x^3)^(1/4)*b)/x) + 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((b*c + 2*a*d - (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3)))*log((sqrt(2)*(c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5))*x*sqrt(sqrt(2)*sqrt((b*c + 2*a*d - (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3))) + 2*(a*x^4 - b*x^3)^(1/4)*b)/x) - 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((b*c + 2*a*d - (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3)))*log(-(sqrt(2)*(c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5))*x*sqrt(sqrt(2)*sqrt((b*c + 2*a*d - (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3))) - 2*(a*x^4 - b*x^3)^(1/4)*b)/x)","B",0
1272,1,2783,0,0.699258," ","integrate((a*x^4-b*x^3)^(1/4)/x/(c*x+x^2+d),x, algorithm=""fricas"")","-2 \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{b c + 2 \, a d + {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} {\left(b^{3} c^{4} - 8 \, b^{3} c^{2} d + 16 \, b^{3} d^{2} - {\left(b^{2} c^{7} d - 128 \, a b d^{5} + 32 \, {\left(3 \, a b c^{2} - 2 \, b^{2} c\right)} d^{4} - 24 \, {\left(a b c^{4} - 2 \, b^{2} c^{3}\right)} d^{3} + 2 \, {\left(a b c^{6} - 6 \, b^{2} c^{5}\right)} d^{2}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}\right)} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} \sqrt{\frac{b c + 2 \, a d + {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}} + {\left({\left(b c^{7} d - 128 \, a d^{5} + 32 \, {\left(3 \, a c^{2} - 2 \, b c\right)} d^{4} - 24 \, {\left(a c^{4} - 2 \, b c^{3}\right)} d^{3} + 2 \, {\left(a c^{6} - 6 \, b c^{5}\right)} d^{2}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}} x - {\left(b^{2} c^{4} - 8 \, b^{2} c^{2} d + 16 \, b^{2} d^{2}\right)} x\right)} \sqrt{\frac{b c + 2 \, a d + {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}} \sqrt{\frac{\sqrt{2} {\left(b^{2} c^{2} - 4 \, b^{2} d\right)} x^{2} \sqrt{\frac{b c + 2 \, a d + {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}} + 2 \, \sqrt{a x^{4} - b x^{3}} b^{2}}{x^{2}}}\right)} \sqrt{\sqrt{2} \sqrt{\frac{b c + 2 \, a d + {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}}}}{8 \, {\left(a b^{3} c + a^{2} b^{2} d + b^{4}\right)} x}\right) + 2 \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{b c + 2 \, a d - {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} {\left(b^{3} c^{4} - 8 \, b^{3} c^{2} d + 16 \, b^{3} d^{2} + {\left(b^{2} c^{7} d - 128 \, a b d^{5} + 32 \, {\left(3 \, a b c^{2} - 2 \, b^{2} c\right)} d^{4} - 24 \, {\left(a b c^{4} - 2 \, b^{2} c^{3}\right)} d^{3} + 2 \, {\left(a b c^{6} - 6 \, b^{2} c^{5}\right)} d^{2}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}\right)} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} \sqrt{\frac{b c + 2 \, a d - {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}} - {\left({\left(b c^{7} d - 128 \, a d^{5} + 32 \, {\left(3 \, a c^{2} - 2 \, b c\right)} d^{4} - 24 \, {\left(a c^{4} - 2 \, b c^{3}\right)} d^{3} + 2 \, {\left(a c^{6} - 6 \, b c^{5}\right)} d^{2}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}} x + {\left(b^{2} c^{4} - 8 \, b^{2} c^{2} d + 16 \, b^{2} d^{2}\right)} x\right)} \sqrt{\frac{b c + 2 \, a d - {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}} \sqrt{\frac{\sqrt{2} {\left(b^{2} c^{2} - 4 \, b^{2} d\right)} x^{2} \sqrt{\frac{b c + 2 \, a d - {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}} + 2 \, \sqrt{a x^{4} - b x^{3}} b^{2}}{x^{2}}}\right)} \sqrt{\sqrt{2} \sqrt{\frac{b c + 2 \, a d - {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}}}}{8 \, {\left(a b^{3} c + a^{2} b^{2} d + b^{4}\right)} x}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{b c + 2 \, a d + {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}}} \log\left(\frac{\sqrt{2} {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}} x \sqrt{\sqrt{2} \sqrt{\frac{b c + 2 \, a d + {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}}} + 2 \, {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} b}{x}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{b c + 2 \, a d + {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}}} \log\left(-\frac{\sqrt{2} {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}} x \sqrt{\sqrt{2} \sqrt{\frac{b c + 2 \, a d + {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}}} - 2 \, {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} b}{x}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{b c + 2 \, a d - {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}}} \log\left(\frac{\sqrt{2} {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}} x \sqrt{\sqrt{2} \sqrt{\frac{b c + 2 \, a d - {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}}} + 2 \, {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} b}{x}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{b c + 2 \, a d - {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}}} \log\left(-\frac{\sqrt{2} {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}} x \sqrt{\sqrt{2} \sqrt{\frac{b c + 2 \, a d - {\left(c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}\right)} \sqrt{\frac{b^{2}}{c^{6} d^{2} - 12 \, c^{4} d^{3} + 48 \, c^{2} d^{4} - 64 \, d^{5}}}}{c^{4} d - 8 \, c^{2} d^{2} + 16 \, d^{3}}}} - 2 \, {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} b}{x}\right)"," ",0,"-2*sqrt(2)*sqrt(sqrt(2)*sqrt((b*c + 2*a*d + (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3)))*arctan(-1/8*sqrt(2)*(sqrt(2)*(b^3*c^4 - 8*b^3*c^2*d + 16*b^3*d^2 - (b^2*c^7*d - 128*a*b*d^5 + 32*(3*a*b*c^2 - 2*b^2*c)*d^4 - 24*(a*b*c^4 - 2*b^2*c^3)*d^3 + 2*(a*b*c^6 - 6*b^2*c^5)*d^2)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))*(a*x^4 - b*x^3)^(1/4)*sqrt((b*c + 2*a*d + (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3)) + ((b*c^7*d - 128*a*d^5 + 32*(3*a*c^2 - 2*b*c)*d^4 - 24*(a*c^4 - 2*b*c^3)*d^3 + 2*(a*c^6 - 6*b*c^5)*d^2)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5))*x - (b^2*c^4 - 8*b^2*c^2*d + 16*b^2*d^2)*x)*sqrt((b*c + 2*a*d + (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3))*sqrt((sqrt(2)*(b^2*c^2 - 4*b^2*d)*x^2*sqrt((b*c + 2*a*d + (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3)) + 2*sqrt(a*x^4 - b*x^3)*b^2)/x^2))*sqrt(sqrt(2)*sqrt((b*c + 2*a*d + (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3)))/((a*b^3*c + a^2*b^2*d + b^4)*x)) + 2*sqrt(2)*sqrt(sqrt(2)*sqrt((b*c + 2*a*d - (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3)))*arctan(1/8*sqrt(2)*(sqrt(2)*(b^3*c^4 - 8*b^3*c^2*d + 16*b^3*d^2 + (b^2*c^7*d - 128*a*b*d^5 + 32*(3*a*b*c^2 - 2*b^2*c)*d^4 - 24*(a*b*c^4 - 2*b^2*c^3)*d^3 + 2*(a*b*c^6 - 6*b^2*c^5)*d^2)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))*(a*x^4 - b*x^3)^(1/4)*sqrt((b*c + 2*a*d - (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3)) - ((b*c^7*d - 128*a*d^5 + 32*(3*a*c^2 - 2*b*c)*d^4 - 24*(a*c^4 - 2*b*c^3)*d^3 + 2*(a*c^6 - 6*b*c^5)*d^2)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5))*x + (b^2*c^4 - 8*b^2*c^2*d + 16*b^2*d^2)*x)*sqrt((b*c + 2*a*d - (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3))*sqrt((sqrt(2)*(b^2*c^2 - 4*b^2*d)*x^2*sqrt((b*c + 2*a*d - (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3)) + 2*sqrt(a*x^4 - b*x^3)*b^2)/x^2))*sqrt(sqrt(2)*sqrt((b*c + 2*a*d - (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3)))/((a*b^3*c + a^2*b^2*d + b^4)*x)) - 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((b*c + 2*a*d + (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3)))*log((sqrt(2)*(c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5))*x*sqrt(sqrt(2)*sqrt((b*c + 2*a*d + (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3))) + 2*(a*x^4 - b*x^3)^(1/4)*b)/x) + 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((b*c + 2*a*d + (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3)))*log(-(sqrt(2)*(c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5))*x*sqrt(sqrt(2)*sqrt((b*c + 2*a*d + (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3))) - 2*(a*x^4 - b*x^3)^(1/4)*b)/x) + 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((b*c + 2*a*d - (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3)))*log((sqrt(2)*(c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5))*x*sqrt(sqrt(2)*sqrt((b*c + 2*a*d - (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3))) + 2*(a*x^4 - b*x^3)^(1/4)*b)/x) - 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((b*c + 2*a*d - (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3)))*log(-(sqrt(2)*(c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5))*x*sqrt(sqrt(2)*sqrt((b*c + 2*a*d - (c^4*d - 8*c^2*d^2 + 16*d^3)*sqrt(b^2/(c^6*d^2 - 12*c^4*d^3 + 48*c^2*d^4 - 64*d^5)))/(c^4*d - 8*c^2*d^2 + 16*d^3))) - 2*(a*x^4 - b*x^3)^(1/4)*b)/x)","B",0
1273,1,80,0,0.460029," ","integrate((x^5-1)^(2/3)/x^6,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{5} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{5} - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) + x^{5} \log\left({\left(x^{5} - 1\right)}^{\frac{2}{3}} - {\left(x^{5} - 1\right)}^{\frac{1}{3}} + 1\right) - 2 \, x^{5} \log\left({\left(x^{5} - 1\right)}^{\frac{1}{3}} + 1\right) - 3 \, {\left(x^{5} - 1\right)}^{\frac{2}{3}}}{15 \, x^{5}}"," ",0,"1/15*(2*sqrt(3)*x^5*arctan(2/3*sqrt(3)*(x^5 - 1)^(1/3) - 1/3*sqrt(3)) + x^5*log((x^5 - 1)^(2/3) - (x^5 - 1)^(1/3) + 1) - 2*x^5*log((x^5 - 1)^(1/3) + 1) - 3*(x^5 - 1)^(2/3))/x^5","A",0
1274,1,216,0,0.479063," ","integrate(1/x^11/(a*x^5+b)^(3/4),x, algorithm=""fricas"")","\frac{84 \, b^{2} x^{10} \left(\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{5} + b\right)}^{\frac{1}{4}} a^{2} b^{8} \left(\frac{a^{8}}{b^{11}}\right)^{\frac{3}{4}} - \sqrt{b^{6} \sqrt{\frac{a^{8}}{b^{11}}} + \sqrt{a x^{5} + b} a^{4}} b^{8} \left(\frac{a^{8}}{b^{11}}\right)^{\frac{3}{4}}}{a^{8}}\right) - 21 \, b^{2} x^{10} \left(\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} \log\left(21 \, b^{3} \left(\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} + 21 \, {\left(a x^{5} + b\right)}^{\frac{1}{4}} a^{2}\right) + 21 \, b^{2} x^{10} \left(\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} \log\left(-21 \, b^{3} \left(\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} + 21 \, {\left(a x^{5} + b\right)}^{\frac{1}{4}} a^{2}\right) + 4 \, {\left(7 \, a x^{5} - 4 \, b\right)} {\left(a x^{5} + b\right)}^{\frac{1}{4}}}{160 \, b^{2} x^{10}}"," ",0,"1/160*(84*b^2*x^10*(a^8/b^11)^(1/4)*arctan(-((a*x^5 + b)^(1/4)*a^2*b^8*(a^8/b^11)^(3/4) - sqrt(b^6*sqrt(a^8/b^11) + sqrt(a*x^5 + b)*a^4)*b^8*(a^8/b^11)^(3/4))/a^8) - 21*b^2*x^10*(a^8/b^11)^(1/4)*log(21*b^3*(a^8/b^11)^(1/4) + 21*(a*x^5 + b)^(1/4)*a^2) + 21*b^2*x^10*(a^8/b^11)^(1/4)*log(-21*b^3*(a^8/b^11)^(1/4) + 21*(a*x^5 + b)^(1/4)*a^2) + 4*(7*a*x^5 - 4*b)*(a*x^5 + b)^(1/4))/(b^2*x^10)","B",0
1275,1,80,0,0.484786," ","integrate(1/x^7/(x^6-1)^(1/3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{6} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) + x^{6} \log\left({\left(x^{6} - 1\right)}^{\frac{2}{3}} - {\left(x^{6} - 1\right)}^{\frac{1}{3}} + 1\right) - 2 \, x^{6} \log\left({\left(x^{6} - 1\right)}^{\frac{1}{3}} + 1\right) + 6 \, {\left(x^{6} - 1\right)}^{\frac{2}{3}}}{36 \, x^{6}}"," ",0,"1/36*(2*sqrt(3)*x^6*arctan(2/3*sqrt(3)*(x^6 - 1)^(1/3) - 1/3*sqrt(3)) + x^6*log((x^6 - 1)^(2/3) - (x^6 - 1)^(1/3) + 1) - 2*x^6*log((x^6 - 1)^(1/3) + 1) + 6*(x^6 - 1)^(2/3))/x^6","A",0
1276,1,80,0,0.492616," ","integrate((x^6-1)^(2/3)/x^7,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{6} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) + x^{6} \log\left({\left(x^{6} - 1\right)}^{\frac{2}{3}} - {\left(x^{6} - 1\right)}^{\frac{1}{3}} + 1\right) - 2 \, x^{6} \log\left({\left(x^{6} - 1\right)}^{\frac{1}{3}} + 1\right) - 3 \, {\left(x^{6} - 1\right)}^{\frac{2}{3}}}{18 \, x^{6}}"," ",0,"1/18*(2*sqrt(3)*x^6*arctan(2/3*sqrt(3)*(x^6 - 1)^(1/3) - 1/3*sqrt(3)) + x^6*log((x^6 - 1)^(2/3) - (x^6 - 1)^(1/3) + 1) - 2*x^6*log((x^6 - 1)^(1/3) + 1) - 3*(x^6 - 1)^(2/3))/x^6","A",0
1277,1,127,0,3.206178," ","integrate((2*x^6+x^4-1)*(x^7+x^5+x)^(1/3)/(x^6+x^4+1)/(x^6+x^4-x^2+1),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{2 \, \sqrt{3} {\left(x^{7} + x^{5} + x\right)}^{\frac{1}{3}} x + \sqrt{3} {\left(x^{6} + x^{4} + x^{2} + 1\right)} + 2 \, \sqrt{3} {\left(x^{7} + x^{5} + x\right)}^{\frac{2}{3}}}{x^{6} + x^{4} - x^{2} + 1}\right) + \frac{1}{4} \, \log\left(\frac{x^{6} + x^{4} - x^{2} + 3 \, {\left(x^{7} + x^{5} + x\right)}^{\frac{1}{3}} x - 3 \, {\left(x^{7} + x^{5} + x\right)}^{\frac{2}{3}} + 1}{x^{6} + x^{4} - x^{2} + 1}\right)"," ",0,"1/2*sqrt(3)*arctan((2*sqrt(3)*(x^7 + x^5 + x)^(1/3)*x + sqrt(3)*(x^6 + x^4 + x^2 + 1) + 2*sqrt(3)*(x^7 + x^5 + x)^(2/3))/(x^6 + x^4 - x^2 + 1)) + 1/4*log((x^6 + x^4 - x^2 + 3*(x^7 + x^5 + x)^(1/3)*x - 3*(x^7 + x^5 + x)^(2/3) + 1)/(x^6 + x^4 - x^2 + 1))","A",0
1278,1,234,0,0.466224," ","integrate((1+(1+x)^(1/2))^(1/2)/(x-(1+x)^(1/2)),x, algorithm=""fricas"")","\frac{3}{5} \, \sqrt{5} \log\left(\frac{2 \, x^{2} + \sqrt{5} {\left(3 \, x + 1\right)} + {\left(\sqrt{5} {\left(x + 2\right)} + 5 \, x\right)} \sqrt{x + 1} - {\left(\sqrt{5} {\left(x + 2\right)} + {\left(\sqrt{5} {\left(2 \, x - 1\right)} + 5\right)} \sqrt{x + 1} + 5 \, x\right)} \sqrt{\sqrt{x + 1} + 1} + 3 \, x + 3}{x^{2} - x - 1}\right) + \frac{3}{5} \, \sqrt{5} \log\left(\frac{2 \, x^{2} - \sqrt{5} {\left(3 \, x + 1\right)} - {\left(\sqrt{5} {\left(x + 2\right)} - 5 \, x\right)} \sqrt{x + 1} - {\left(\sqrt{5} {\left(x + 2\right)} + {\left(\sqrt{5} {\left(2 \, x - 1\right)} - 5\right)} \sqrt{x + 1} - 5 \, x\right)} \sqrt{\sqrt{x + 1} + 1} + 3 \, x + 3}{x^{2} - x - 1}\right) + 4 \, \sqrt{\sqrt{x + 1} + 1} - \log\left(\sqrt{x + 1} + \sqrt{\sqrt{x + 1} + 1}\right) + \log\left(\sqrt{x + 1} - \sqrt{\sqrt{x + 1} + 1}\right)"," ",0,"3/5*sqrt(5)*log((2*x^2 + sqrt(5)*(3*x + 1) + (sqrt(5)*(x + 2) + 5*x)*sqrt(x + 1) - (sqrt(5)*(x + 2) + (sqrt(5)*(2*x - 1) + 5)*sqrt(x + 1) + 5*x)*sqrt(sqrt(x + 1) + 1) + 3*x + 3)/(x^2 - x - 1)) + 3/5*sqrt(5)*log((2*x^2 - sqrt(5)*(3*x + 1) - (sqrt(5)*(x + 2) - 5*x)*sqrt(x + 1) - (sqrt(5)*(x + 2) + (sqrt(5)*(2*x - 1) - 5)*sqrt(x + 1) - 5*x)*sqrt(sqrt(x + 1) + 1) + 3*x + 3)/(x^2 - x - 1)) + 4*sqrt(sqrt(x + 1) + 1) - log(sqrt(x + 1) + sqrt(sqrt(x + 1) + 1)) + log(sqrt(x + 1) - sqrt(sqrt(x + 1) + 1))","B",0
1279,1,181,0,0.460212," ","integrate(1/x^3/(x^2-1)^(3/4),x, algorithm=""fricas"")","-\frac{12 \, \sqrt{2} x^{2} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} {\left(x^{2} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{2} - 1} + 1} - \sqrt{2} {\left(x^{2} - 1\right)}^{\frac{1}{4}} - 1\right) + 12 \, \sqrt{2} x^{2} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} {\left(x^{2} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{2} - 1} + 4} - \sqrt{2} {\left(x^{2} - 1\right)}^{\frac{1}{4}} + 1\right) - 3 \, \sqrt{2} x^{2} \log\left(4 \, \sqrt{2} {\left(x^{2} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{2} - 1} + 4\right) + 3 \, \sqrt{2} x^{2} \log\left(-4 \, \sqrt{2} {\left(x^{2} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{2} - 1} + 4\right) - 8 \, {\left(x^{2} - 1\right)}^{\frac{1}{4}}}{16 \, x^{2}}"," ",0,"-1/16*(12*sqrt(2)*x^2*arctan(sqrt(2)*sqrt(sqrt(2)*(x^2 - 1)^(1/4) + sqrt(x^2 - 1) + 1) - sqrt(2)*(x^2 - 1)^(1/4) - 1) + 12*sqrt(2)*x^2*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*(x^2 - 1)^(1/4) + 4*sqrt(x^2 - 1) + 4) - sqrt(2)*(x^2 - 1)^(1/4) + 1) - 3*sqrt(2)*x^2*log(4*sqrt(2)*(x^2 - 1)^(1/4) + 4*sqrt(x^2 - 1) + 4) + 3*sqrt(2)*x^2*log(-4*sqrt(2)*(x^2 - 1)^(1/4) + 4*sqrt(x^2 - 1) + 4) - 8*(x^2 - 1)^(1/4))/x^2","B",0
1280,1,105,0,0.764150," ","integrate((x^3-1)^(2/3)/x^3,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{2} \arctan\left(-\frac{25382 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} - 13720 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(5831 \, x^{3} - 7200\right)}}{58653 \, x^{3} - 8000}\right) - x^{2} \log\left(-3 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + 1\right) - 3 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{6 \, x^{2}}"," ",0,"1/6*(2*sqrt(3)*x^2*arctan(-(25382*sqrt(3)*(x^3 - 1)^(1/3)*x^2 - 13720*sqrt(3)*(x^3 - 1)^(2/3)*x + sqrt(3)*(5831*x^3 - 7200))/(58653*x^3 - 8000)) - x^2*log(-3*(x^3 - 1)^(1/3)*x^2 + 3*(x^3 - 1)^(2/3)*x + 1) - 3*(x^3 - 1)^(2/3))/x^2","A",0
1281,1,232,0,0.534688," ","integrate((x^2+2)/(x^2+2*x-2)/(x^3+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{27} \cdot 27^{\frac{3}{4}} \sqrt{2} \arctan\left(\frac{\sqrt{x^{3} + 1} {\left(27^{\frac{3}{4}} \sqrt{2} + 9 \cdot 27^{\frac{1}{4}} \sqrt{2}\right)}}{18 \, {\left(x^{2} - x + 1\right)}}\right) + \frac{1}{108} \cdot 27^{\frac{3}{4}} \sqrt{2} \log\left(\frac{2 \, {\left(9 \, x^{4} - 18 \, x^{3} + 54 \, x^{2} + 36 \, \sqrt{3} {\left(x^{3} + 1\right)} + \sqrt{x^{3} + 1} {\left(27^{\frac{3}{4}} \sqrt{2} {\left(x^{2} - 4 \, x - 2\right)} - 9 \cdot 27^{\frac{1}{4}} \sqrt{2} {\left(x^{2} + 2\right)}\right)} + 36 \, x + 36\right)}}{x^{4} + 4 \, x^{3} - 8 \, x + 4}\right) - \frac{1}{108} \cdot 27^{\frac{3}{4}} \sqrt{2} \log\left(\frac{2 \, {\left(9 \, x^{4} - 18 \, x^{3} + 54 \, x^{2} + 36 \, \sqrt{3} {\left(x^{3} + 1\right)} - \sqrt{x^{3} + 1} {\left(27^{\frac{3}{4}} \sqrt{2} {\left(x^{2} - 4 \, x - 2\right)} - 9 \cdot 27^{\frac{1}{4}} \sqrt{2} {\left(x^{2} + 2\right)}\right)} + 36 \, x + 36\right)}}{x^{4} + 4 \, x^{3} - 8 \, x + 4}\right)"," ",0,"-1/27*27^(3/4)*sqrt(2)*arctan(1/18*sqrt(x^3 + 1)*(27^(3/4)*sqrt(2) + 9*27^(1/4)*sqrt(2))/(x^2 - x + 1)) + 1/108*27^(3/4)*sqrt(2)*log(2*(9*x^4 - 18*x^3 + 54*x^2 + 36*sqrt(3)*(x^3 + 1) + sqrt(x^3 + 1)*(27^(3/4)*sqrt(2)*(x^2 - 4*x - 2) - 9*27^(1/4)*sqrt(2)*(x^2 + 2)) + 36*x + 36)/(x^4 + 4*x^3 - 8*x + 4)) - 1/108*27^(3/4)*sqrt(2)*log(2*(9*x^4 - 18*x^3 + 54*x^2 + 36*sqrt(3)*(x^3 + 1) - sqrt(x^3 + 1)*(27^(3/4)*sqrt(2)*(x^2 - 4*x - 2) - 9*27^(1/4)*sqrt(2)*(x^2 + 2)) + 36*x + 36)/(x^4 + 4*x^3 - 8*x + 4))","B",0
1282,1,105,0,0.798048," ","integrate((x^3+1)^(2/3)/x^3,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{2} \arctan\left(-\frac{25382 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 13720 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(5831 \, x^{3} + 7200\right)}}{58653 \, x^{3} + 8000}\right) - x^{2} \log\left(3 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + 1\right) - 3 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{6 \, x^{2}}"," ",0,"1/6*(2*sqrt(3)*x^2*arctan(-(25382*sqrt(3)*(x^3 + 1)^(1/3)*x^2 - 13720*sqrt(3)*(x^3 + 1)^(2/3)*x + sqrt(3)*(5831*x^3 + 7200))/(58653*x^3 + 8000)) - x^2*log(3*(x^3 + 1)^(1/3)*x^2 - 3*(x^3 + 1)^(2/3)*x + 1) - 3*(x^3 + 1)^(2/3))/x^2","A",0
1283,-1,0,0,0.000000," ","integrate((2*a*b*x+(-3*a+b)*x^2)/(x^2*(-a+x)*(-b+x))^(1/4)/(a^3-3*a^2*x+(-b*d+3*a)*x^2+(-1+d)*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1284,1,180,0,0.563153," ","integrate((x^4-1)^(1/4)/x^5,x, algorithm=""fricas"")","-\frac{4 \, \sqrt{2} x^{4} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{4} - 1} + 1} - \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} - 1\right) + 4 \, \sqrt{2} x^{4} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{4} - 1} + 4} - \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + 1\right) - \sqrt{2} x^{4} \log\left(4 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{4} - 1} + 4\right) + \sqrt{2} x^{4} \log\left(-4 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{4} - 1} + 4\right) + 8 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{32 \, x^{4}}"," ",0,"-1/32*(4*sqrt(2)*x^4*arctan(sqrt(2)*sqrt(sqrt(2)*(x^4 - 1)^(1/4) + sqrt(x^4 - 1) + 1) - sqrt(2)*(x^4 - 1)^(1/4) - 1) + 4*sqrt(2)*x^4*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*(x^4 - 1)^(1/4) + 4*sqrt(x^4 - 1) + 4) - sqrt(2)*(x^4 - 1)^(1/4) + 1) - sqrt(2)*x^4*log(4*sqrt(2)*(x^4 - 1)^(1/4) + 4*sqrt(x^4 - 1) + 4) + sqrt(2)*x^4*log(-4*sqrt(2)*(x^4 - 1)^(1/4) + 4*sqrt(x^4 - 1) + 4) + 8*(x^4 - 1)^(1/4))/x^4","B",0
1285,1,130,0,1.415606," ","integrate((x^2+1)/(x^2+x-1)/(x^4-x^2)^(1/3),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(-\frac{128537192 \, \sqrt{3} {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} x + \sqrt{3} {\left(1454911 \, x^{3} - 69864736 \, x^{2} - 1454911 \, x\right)} - 14102102 \, \sqrt{3} {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}}}{226981 \, x^{3} + 171879616 \, x^{2} - 226981 \, x}\right) - \frac{1}{2} \, \log\left(\frac{x^{3} + x^{2} + 3 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} x - x + 3 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}}}{x^{3} + x^{2} - x}\right)"," ",0,"-sqrt(3)*arctan(-(128537192*sqrt(3)*(x^4 - x^2)^(1/3)*x + sqrt(3)*(1454911*x^3 - 69864736*x^2 - 1454911*x) - 14102102*sqrt(3)*(x^4 - x^2)^(2/3))/(226981*x^3 + 171879616*x^2 - 226981*x)) - 1/2*log((x^3 + x^2 + 3*(x^4 - x^2)^(1/3)*x - x + 3*(x^4 - x^2)^(2/3))/(x^3 + x^2 - x))","A",0
1286,1,92,0,0.553781," ","integrate((-1+2*x)*(x^2-x+2)*(x^4-2*x^3+x^2-2)^(1/2)/(2*x^2-2*x+3),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{x^{4} - 2 \, x^{3} + x^{2} - 2} {\left(x^{2} - x + 1\right)} + \frac{7}{8} \, \log\left(-x^{2} + x + \sqrt{x^{4} - 2 \, x^{3} + x^{2} - 2}\right) + \frac{1}{8} \, \log\left(\frac{3 \, x^{2} - 3 \, x + \sqrt{x^{4} - 2 \, x^{3} + x^{2} - 2} + 4}{2 \, x^{2} - 2 \, x + 3}\right)"," ",0,"1/4*sqrt(x^4 - 2*x^3 + x^2 - 2)*(x^2 - x + 1) + 7/8*log(-x^2 + x + sqrt(x^4 - 2*x^3 + x^2 - 2)) + 1/8*log((3*x^2 - 3*x + sqrt(x^4 - 2*x^3 + x^2 - 2) + 4)/(2*x^2 - 2*x + 3))","A",0
1287,1,174,0,0.461421," ","integrate((x^4-x^3)^(1/4)/x/(1+x),x, algorithm=""fricas"")","4 \cdot 2^{\frac{1}{4}} \arctan\left(\frac{2^{\frac{3}{4}} x \sqrt{\frac{\sqrt{2} x^{2} + \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2^{\frac{3}{4}} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{2 \, x}\right) - 2^{\frac{1}{4}} \log\left(\frac{2^{\frac{1}{4}} x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 2^{\frac{1}{4}} \log\left(-\frac{2^{\frac{1}{4}} x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 2 \, \arctan\left(\frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \log\left(\frac{x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \log\left(-\frac{x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"4*2^(1/4)*arctan(1/2*(2^(3/4)*x*sqrt((sqrt(2)*x^2 + sqrt(x^4 - x^3))/x^2) - 2^(3/4)*(x^4 - x^3)^(1/4))/x) - 2^(1/4)*log((2^(1/4)*x + (x^4 - x^3)^(1/4))/x) + 2^(1/4)*log(-(2^(1/4)*x - (x^4 - x^3)^(1/4))/x) + 2*arctan((x^4 - x^3)^(1/4)/x) + log((x + (x^4 - x^3)^(1/4))/x) - log(-(x - (x^4 - x^3)^(1/4))/x)","B",0
1288,1,124,0,1.624225," ","integrate((2*x^3+1)/(x^3+x-1)/(x^5-x^2)^(1/3),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{2 \, \sqrt{3} {\left(x^{5} - x^{2}\right)}^{\frac{1}{3}} x + \sqrt{3} {\left(x^{4} + x^{2} - x\right)} + 2 \, \sqrt{3} {\left(x^{5} - x^{2}\right)}^{\frac{2}{3}}}{3 \, {\left(x^{4} - x^{2} - x\right)}}\right) - \frac{1}{2} \, \log\left(\frac{x^{4} + x^{2} + 3 \, {\left(x^{5} - x^{2}\right)}^{\frac{1}{3}} x - x + 3 \, {\left(x^{5} - x^{2}\right)}^{\frac{2}{3}}}{x^{4} + x^{2} - x}\right)"," ",0,"-sqrt(3)*arctan(1/3*(2*sqrt(3)*(x^5 - x^2)^(1/3)*x + sqrt(3)*(x^4 + x^2 - x) + 2*sqrt(3)*(x^5 - x^2)^(2/3))/(x^4 - x^2 - x)) - 1/2*log((x^4 + x^2 + 3*(x^5 - x^2)^(1/3)*x - x + 3*(x^5 - x^2)^(2/3))/(x^4 + x^2 - x))","A",0
1289,1,180,0,0.527835," ","integrate((x^6-1)^(1/4)/x^7,x, algorithm=""fricas"")","-\frac{4 \, \sqrt{2} x^{6} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} {\left(x^{6} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{6} - 1} + 1} - \sqrt{2} {\left(x^{6} - 1\right)}^{\frac{1}{4}} - 1\right) + 4 \, \sqrt{2} x^{6} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} {\left(x^{6} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{6} - 1} + 4} - \sqrt{2} {\left(x^{6} - 1\right)}^{\frac{1}{4}} + 1\right) - \sqrt{2} x^{6} \log\left(4 \, \sqrt{2} {\left(x^{6} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{6} - 1} + 4\right) + \sqrt{2} x^{6} \log\left(-4 \, \sqrt{2} {\left(x^{6} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{6} - 1} + 4\right) + 8 \, {\left(x^{6} - 1\right)}^{\frac{1}{4}}}{48 \, x^{6}}"," ",0,"-1/48*(4*sqrt(2)*x^6*arctan(sqrt(2)*sqrt(sqrt(2)*(x^6 - 1)^(1/4) + sqrt(x^6 - 1) + 1) - sqrt(2)*(x^6 - 1)^(1/4) - 1) + 4*sqrt(2)*x^6*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*(x^6 - 1)^(1/4) + 4*sqrt(x^6 - 1) + 4) - sqrt(2)*(x^6 - 1)^(1/4) + 1) - sqrt(2)*x^6*log(4*sqrt(2)*(x^6 - 1)^(1/4) + 4*sqrt(x^6 - 1) + 4) + sqrt(2)*x^6*log(-4*sqrt(2)*(x^6 - 1)^(1/4) + 4*sqrt(x^6 - 1) + 4) + 8*(x^6 - 1)^(1/4))/x^6","B",0
1290,1,124,0,1.886240," ","integrate((3*x^4+1)/(x^4+x-1)/(x^6-x^2)^(1/3),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{2 \, \sqrt{3} {\left(x^{6} - x^{2}\right)}^{\frac{1}{3}} x + \sqrt{3} {\left(x^{5} + x^{2} - x\right)} + 2 \, \sqrt{3} {\left(x^{6} - x^{2}\right)}^{\frac{2}{3}}}{3 \, {\left(x^{5} - x^{2} - x\right)}}\right) - \frac{1}{2} \, \log\left(\frac{x^{5} + x^{2} + 3 \, {\left(x^{6} - x^{2}\right)}^{\frac{1}{3}} x - x + 3 \, {\left(x^{6} - x^{2}\right)}^{\frac{2}{3}}}{x^{5} + x^{2} - x}\right)"," ",0,"-sqrt(3)*arctan(1/3*(2*sqrt(3)*(x^6 - x^2)^(1/3)*x + sqrt(3)*(x^5 + x^2 - x) + 2*sqrt(3)*(x^6 - x^2)^(2/3))/(x^5 - x^2 - x)) - 1/2*log((x^5 + x^2 + 3*(x^6 - x^2)^(1/3)*x - x + 3*(x^6 - x^2)^(2/3))/(x^5 + x^2 - x))","A",0
1291,1,79,0,0.518871," ","integrate((x^3+2)*(x^3-x^2-1)^(1/2)/(x^6+x^5-x^4-2*x^3-x^2+1),x, algorithm=""fricas"")","-\frac{1}{5} \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 6} \arctan\left(\frac{x \sqrt{2 \, \sqrt{5} + 6}}{2 \, \sqrt{x^{3} - x^{2} - 1}}\right) + \frac{1}{5} \, \sqrt{5} \sqrt{-2 \, \sqrt{5} + 6} \arctan\left(\frac{x \sqrt{-2 \, \sqrt{5} + 6}}{2 \, \sqrt{x^{3} - x^{2} - 1}}\right)"," ",0,"-1/5*sqrt(5)*sqrt(2*sqrt(5) + 6)*arctan(1/2*x*sqrt(2*sqrt(5) + 6)/sqrt(x^3 - x^2 - 1)) + 1/5*sqrt(5)*sqrt(-2*sqrt(5) + 6)*arctan(1/2*x*sqrt(-2*sqrt(5) + 6)/sqrt(x^3 - x^2 - 1))","A",0
1292,1,313,0,0.603908," ","integrate((x^4+1)*(x^4-x^2-1)^(1/2)/(x^8+x^6-3*x^4-x^2+1),x, algorithm=""fricas"")","\frac{1}{10} \, \sqrt{10} \sqrt{\sqrt{5} + 3} \arctan\left(-\frac{2 \, \sqrt{10} \sqrt{x^{4} - x^{2} - 1} {\left(5 \, x^{3} + \sqrt{5} {\left(2 \, x^{5} - 5 \, x^{3} - 2 \, x\right)}\right)} \sqrt{\sqrt{5} + 3} + \sqrt{10} {\left(15 \, x^{8} - 65 \, x^{6} + 5 \, x^{4} + 65 \, x^{2} - \sqrt{5} {\left(7 \, x^{8} - 29 \, x^{6} + x^{4} + 29 \, x^{2} + 7\right)} + 15\right)} \sqrt{4 \, \sqrt{5} + 9} \sqrt{\sqrt{5} + 3}}{20 \, {\left(x^{8} - 5 \, x^{6} + 3 \, x^{4} + 5 \, x^{2} + 1\right)}}\right) + \frac{1}{10} \, \sqrt{10} \sqrt{-\sqrt{5} + 3} \arctan\left(-\frac{40 \, \sqrt{10} \sqrt{x^{4} - x^{2} - 1} {\left(5 \, x^{3} - \sqrt{5} {\left(2 \, x^{5} - 5 \, x^{3} - 2 \, x\right)}\right)} \sqrt{-\sqrt{5} + 3} + \sqrt{10} {\left(15 \, x^{8} - 65 \, x^{6} + 5 \, x^{4} + 65 \, x^{2} + \sqrt{5} {\left(7 \, x^{8} - 29 \, x^{6} + x^{4} + 29 \, x^{2} + 7\right)} + 15\right)} \sqrt{-\sqrt{5} + 3} \sqrt{-1600 \, \sqrt{5} + 3600}}{400 \, {\left(x^{8} - 5 \, x^{6} + 3 \, x^{4} + 5 \, x^{2} + 1\right)}}\right)"," ",0,"1/10*sqrt(10)*sqrt(sqrt(5) + 3)*arctan(-1/20*(2*sqrt(10)*sqrt(x^4 - x^2 - 1)*(5*x^3 + sqrt(5)*(2*x^5 - 5*x^3 - 2*x))*sqrt(sqrt(5) + 3) + sqrt(10)*(15*x^8 - 65*x^6 + 5*x^4 + 65*x^2 - sqrt(5)*(7*x^8 - 29*x^6 + x^4 + 29*x^2 + 7) + 15)*sqrt(4*sqrt(5) + 9)*sqrt(sqrt(5) + 3))/(x^8 - 5*x^6 + 3*x^4 + 5*x^2 + 1)) + 1/10*sqrt(10)*sqrt(-sqrt(5) + 3)*arctan(-1/400*(40*sqrt(10)*sqrt(x^4 - x^2 - 1)*(5*x^3 - sqrt(5)*(2*x^5 - 5*x^3 - 2*x))*sqrt(-sqrt(5) + 3) + sqrt(10)*(15*x^8 - 65*x^6 + 5*x^4 + 65*x^2 + sqrt(5)*(7*x^8 - 29*x^6 + x^4 + 29*x^2 + 7) + 15)*sqrt(-sqrt(5) + 3)*sqrt(-1600*sqrt(5) + 3600))/(x^8 - 5*x^6 + 3*x^4 + 5*x^2 + 1))","B",0
1293,1,74,0,1.126291," ","integrate(x^2*(x+(1+x)^(1/2))^(1/2)/(1+x)^(1/2),x, algorithm=""fricas"")","\frac{1}{3840} \, {\left(128 \, x^{2} + 2 \, {\left(640 \, x^{2} - 872 \, x + 975\right)} \sqrt{x + 1} + 328 \, x + 563\right)} \sqrt{x + \sqrt{x + 1}} + \frac{385}{1024} \, \log\left(4 \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} + 1\right)} - 8 \, x - 8 \, \sqrt{x + 1} - 5\right)"," ",0,"1/3840*(128*x^2 + 2*(640*x^2 - 872*x + 975)*sqrt(x + 1) + 328*x + 563)*sqrt(x + sqrt(x + 1)) + 385/1024*log(4*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) + 1) - 8*x - 8*sqrt(x + 1) - 5)","A",0
1294,1,86,0,0.451481," ","integrate((x^3-1)^(2/3),x, algorithm=""fricas"")","\frac{1}{3} \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + \frac{2}{9} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{2}{9} \, \log\left(-\frac{x - {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{9} \, \log\left(\frac{x^{2} + {\left(x^{3} - 1\right)}^{\frac{1}{3}} x + {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"1/3*(x^3 - 1)^(2/3)*x + 2/9*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 - 1)^(1/3))/x) + 2/9*log(-(x - (x^3 - 1)^(1/3))/x) - 1/9*log((x^2 + (x^3 - 1)^(1/3)*x + (x^3 - 1)^(2/3))/x^2)","A",0
1295,1,86,0,0.444449," ","integrate((x^3+1)^(2/3),x, algorithm=""fricas"")","\frac{1}{3} \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} x - \frac{2}{9} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{3 \, x}\right) - \frac{2}{9} \, \log\left(-\frac{x - {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{9} \, \log\left(\frac{x^{2} + {\left(x^{3} + 1\right)}^{\frac{1}{3}} x + {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"1/3*(x^3 + 1)^(2/3)*x - 2/9*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + 1)^(1/3))/x) - 2/9*log(-(x - (x^3 + 1)^(1/3))/x) + 1/9*log((x^2 + (x^3 + 1)^(1/3)*x + (x^3 + 1)^(2/3))/x^2)","A",0
1296,1,86,0,0.447819," ","integrate((x^3-1)/(x^3+2)^(1/3),x, algorithm=""fricas"")","\frac{1}{3} \, {\left(x^{3} + 2\right)}^{\frac{2}{3}} x + \frac{5}{9} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + 2\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{5}{9} \, \log\left(-\frac{x - {\left(x^{3} + 2\right)}^{\frac{1}{3}}}{x}\right) - \frac{5}{18} \, \log\left(\frac{x^{2} + {\left(x^{3} + 2\right)}^{\frac{1}{3}} x + {\left(x^{3} + 2\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"1/3*(x^3 + 2)^(2/3)*x + 5/9*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + 2)^(1/3))/x) + 5/9*log(-(x - (x^3 + 2)^(1/3))/x) - 5/18*log((x^2 + (x^3 + 2)^(1/3)*x + (x^3 + 2)^(2/3))/x^2)","A",0
1297,1,90,0,0.627458," ","integrate((x^3+x)^(1/3),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{3} \arctan\left(-\frac{196 \, \sqrt{3} {\left(x^{3} + x\right)}^{\frac{1}{3}} x - \sqrt{3} {\left(539 \, x^{2} + 507\right)} - 1274 \, \sqrt{3} {\left(x^{3} + x\right)}^{\frac{2}{3}}}{2205 \, x^{2} + 2197}\right) + \frac{1}{2} \, {\left(x^{3} + x\right)}^{\frac{1}{3}} x - \frac{1}{12} \, \log\left(3 \, {\left(x^{3} + x\right)}^{\frac{1}{3}} x - 3 \, {\left(x^{3} + x\right)}^{\frac{2}{3}} + 1\right)"," ",0,"-1/6*sqrt(3)*arctan(-(196*sqrt(3)*(x^3 + x)^(1/3)*x - sqrt(3)*(539*x^2 + 507) - 1274*sqrt(3)*(x^3 + x)^(2/3))/(2205*x^2 + 2197)) + 1/2*(x^3 + x)^(1/3)*x - 1/12*log(3*(x^3 + x)^(1/3)*x - 3*(x^3 + x)^(2/3) + 1)","A",0
1298,-1,0,0,0.000000," ","integrate((-2*k+(-1+k)*(1+k)*x+2*k*x^2)*(k^2*x^2+2*k*x+1)/((-x^2+1)*(-k^2*x^2+1))^(3/4)/(-1+d+(1+3*d)*k*x+(3*d*k^2+1)*x^2+k*(d*k^2-1)*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1299,1,277,0,6.458883," ","integrate((x^4-1)^(3/4)*(x^4+4)/x^8/(x^4-4),x, algorithm=""fricas"")","\frac{84 \cdot 27^{\frac{1}{4}} \sqrt{2} x^{7} \arctan\left(-\frac{108 \cdot 27^{\frac{1}{4}} \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 24 \cdot 27^{\frac{3}{4}} \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} x - \sqrt{6} 3^{\frac{1}{4}} {\left(36 \cdot 27^{\frac{1}{4}} \sqrt{2} \sqrt{x^{4} - 1} x^{2} + 27^{\frac{3}{4}} \sqrt{2} {\left(7 \, x^{4} - 4\right)}\right)}}{54 \, {\left(x^{4} - 4\right)}}\right) - 21 \cdot 27^{\frac{1}{4}} \sqrt{2} x^{7} \log\left(\frac{2 \, {\left(4 \cdot 27^{\frac{3}{4}} \sqrt{2} \sqrt{x^{4} - 1} x^{2} + 36 \, \sqrt{3} {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 3 \cdot 27^{\frac{1}{4}} \sqrt{2} {\left(7 \, x^{4} - 4\right)} + 72 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} x\right)}}{x^{4} - 4}\right) + 21 \cdot 27^{\frac{1}{4}} \sqrt{2} x^{7} \log\left(-\frac{2 \, {\left(4 \cdot 27^{\frac{3}{4}} \sqrt{2} \sqrt{x^{4} - 1} x^{2} - 36 \, \sqrt{3} {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 3 \cdot 27^{\frac{1}{4}} \sqrt{2} {\left(7 \, x^{4} - 4\right)} - 72 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} x\right)}}{x^{4} - 4}\right) + 32 \, {\left(x^{4} + 6\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}}}{1344 \, x^{7}}"," ",0,"1/1344*(84*27^(1/4)*sqrt(2)*x^7*arctan(-1/54*(108*27^(1/4)*sqrt(2)*(x^4 - 1)^(1/4)*x^3 + 24*27^(3/4)*sqrt(2)*(x^4 - 1)^(3/4)*x - sqrt(6)*3^(1/4)*(36*27^(1/4)*sqrt(2)*sqrt(x^4 - 1)*x^2 + 27^(3/4)*sqrt(2)*(7*x^4 - 4)))/(x^4 - 4)) - 21*27^(1/4)*sqrt(2)*x^7*log(2*(4*27^(3/4)*sqrt(2)*sqrt(x^4 - 1)*x^2 + 36*sqrt(3)*(x^4 - 1)^(1/4)*x^3 + 3*27^(1/4)*sqrt(2)*(7*x^4 - 4) + 72*(x^4 - 1)^(3/4)*x)/(x^4 - 4)) + 21*27^(1/4)*sqrt(2)*x^7*log(-2*(4*27^(3/4)*sqrt(2)*sqrt(x^4 - 1)*x^2 - 36*sqrt(3)*(x^4 - 1)^(1/4)*x^3 + 3*27^(1/4)*sqrt(2)*(7*x^4 - 4) - 72*(x^4 - 1)^(3/4)*x)/(x^4 - 4)) + 32*(x^4 + 6)*(x^4 - 1)^(3/4))/x^7","B",0
1300,-1,0,0,0.000000," ","integrate((a*x^3+4*b)/(a*x^3+b)^(1/4)/(a*x^3+x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1301,1,379,0,1.225684," ","integrate((-a^2*b+a*(2*a+b)*x-3*a*x^2+x^3)/(x*(-a+x)*(-b+x))^(1/2)/(-a^2*d+2*a*d*x+(b^2-d)*x^2-2*b*x^3+x^4),x, algorithm=""fricas"")","\frac{1}{d^{3}}^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} d \frac{1}{d^{3}}^{\frac{1}{4}}}{b x - x^{2}}\right) - \frac{1}{4} \, \frac{1}{d^{3}}^{\frac{1}{4}} \log\left(\frac{2 \, b x^{3} - x^{4} - a^{2} d + 2 \, a d x - {\left(b^{2} + d\right)} x^{2} + 2 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left({\left(a d^{3} - d^{3} x\right)} \frac{1}{d^{3}}^{\frac{3}{4}} + {\left(b d x - d x^{2}\right)} \frac{1}{d^{3}}^{\frac{1}{4}}\right)} - 2 \, {\left(a b d^{2} x - {\left(a + b\right)} d^{2} x^{2} + d^{2} x^{3}\right)} \sqrt{\frac{1}{d^{3}}}}{2 \, b x^{3} - x^{4} + a^{2} d - 2 \, a d x - {\left(b^{2} - d\right)} x^{2}}\right) + \frac{1}{4} \, \frac{1}{d^{3}}^{\frac{1}{4}} \log\left(\frac{2 \, b x^{3} - x^{4} - a^{2} d + 2 \, a d x - {\left(b^{2} + d\right)} x^{2} - 2 \, \sqrt{a b x - {\left(a + b\right)} x^{2} + x^{3}} {\left({\left(a d^{3} - d^{3} x\right)} \frac{1}{d^{3}}^{\frac{3}{4}} + {\left(b d x - d x^{2}\right)} \frac{1}{d^{3}}^{\frac{1}{4}}\right)} - 2 \, {\left(a b d^{2} x - {\left(a + b\right)} d^{2} x^{2} + d^{2} x^{3}\right)} \sqrt{\frac{1}{d^{3}}}}{2 \, b x^{3} - x^{4} + a^{2} d - 2 \, a d x - {\left(b^{2} - d\right)} x^{2}}\right)"," ",0,"(d^(-3))^(1/4)*arctan(-sqrt(a*b*x - (a + b)*x^2 + x^3)*d*(d^(-3))^(1/4)/(b*x - x^2)) - 1/4*(d^(-3))^(1/4)*log((2*b*x^3 - x^4 - a^2*d + 2*a*d*x - (b^2 + d)*x^2 + 2*sqrt(a*b*x - (a + b)*x^2 + x^3)*((a*d^3 - d^3*x)*(d^(-3))^(3/4) + (b*d*x - d*x^2)*(d^(-3))^(1/4)) - 2*(a*b*d^2*x - (a + b)*d^2*x^2 + d^2*x^3)*sqrt(d^(-3)))/(2*b*x^3 - x^4 + a^2*d - 2*a*d*x - (b^2 - d)*x^2)) + 1/4*(d^(-3))^(1/4)*log((2*b*x^3 - x^4 - a^2*d + 2*a*d*x - (b^2 + d)*x^2 - 2*sqrt(a*b*x - (a + b)*x^2 + x^3)*((a*d^3 - d^3*x)*(d^(-3))^(3/4) + (b*d*x - d*x^2)*(d^(-3))^(1/4)) - 2*(a*b*d^2*x - (a + b)*d^2*x^2 + d^2*x^3)*sqrt(d^(-3)))/(2*b*x^3 - x^4 + a^2*d - 2*a*d*x - (b^2 - d)*x^2))","B",0
1302,-1,0,0,0.000000," ","integrate((a*x^4-2*b)/x^4/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1303,-1,0,0,0.000000," ","integrate((a*x^4+2*b)/x^4/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1304,1,392,0,0.862636," ","integrate((-1+x)/(1+x)/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{{\left(24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a + 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{2 \, a - 2 \, b + c} + 24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right)}{2 \, \sqrt{2 \, a - 2 \, b + c}}, \frac{\sqrt{-2 \, a + 2 \, b - c} \arctan\left(-\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{-2 \, a + 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} - 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a - b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} - 2 \, a b + a c + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x\right)}}\right)}{2 \, a - 2 \, b + c}\right]"," ",0,"[1/2*log(((24*a^2 - 16*a*b + b^2 + 4*a*c)*x^4 + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a + 2*b)*c + 4*c^2)*x^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(2*a - 2*b + c) + 24*a^2 - 16*a*b + b^2 + 4*a*c + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x)/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1))/sqrt(2*a - 2*b + c), sqrt(-2*a + 2*b - c)*arctan(-1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(-2*a + 2*b - c)/((2*a^2 - 2*a*b + a*c)*x^4 + (2*a*b - 2*b^2 + b*c)*x^3 + (2*(a - b)*c + c^2)*x^2 + 2*a^2 - 2*a*b + a*c + (2*a*b - 2*b^2 + b*c)*x))/(2*a - 2*b + c)]","B",0
1305,1,382,0,0.842753," ","integrate((1+x)/(-1+x)/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{{\left(24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a - 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} - 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{2 \, a + 2 \, b + c} + 24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right)}{2 \, \sqrt{2 \, a + 2 \, b + c}}, \frac{\sqrt{-2 \, a - 2 \, b - c} \arctan\left(\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{-2 \, a - 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} + 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a + b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} + 2 \, a b + a c + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x\right)}}\right)}{2 \, a + 2 \, b + c}\right]"," ",0,"[1/2*log(((24*a^2 + 16*a*b + b^2 + 4*a*c)*x^4 - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a - 2*b)*c + 4*c^2)*x^2 - 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(2*a + 2*b + c) + 24*a^2 + 16*a*b + b^2 + 4*a*c - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1))/sqrt(2*a + 2*b + c), sqrt(-2*a - 2*b - c)*arctan(1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(-2*a - 2*b - c)/((2*a^2 + 2*a*b + a*c)*x^4 + (2*a*b + 2*b^2 + b*c)*x^3 + (2*(a + b)*c + c^2)*x^2 + 2*a^2 + 2*a*b + a*c + (2*a*b + 2*b^2 + b*c)*x))/(2*a + 2*b + c)]","B",0
1306,1,83,0,0.640146," ","integrate(x^2/((-x^2+1)*(-k^2*x^2+1))^(1/2)/(k^2*x^4-1),x, algorithm=""fricas"")","-\frac{{\left(k - 1\right)} \arctan\left(\frac{\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1}}{{\left(k + 1\right)} x}\right) - {\left(k + 1\right)} \arctan\left(\frac{\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1}}{{\left(k - 1\right)} x}\right)}{4 \, {\left(k^{3} - k\right)}}"," ",0,"-1/4*((k - 1)*arctan(sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)/((k + 1)*x)) - (k + 1)*arctan(sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)/((k - 1)*x)))/(k^3 - k)","A",0
1307,1,136,0,15.479449," ","integrate((x^6-1)^(2/3)*(x^6+1)/x^3/(x^6-x^3-1),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x^{2} \arctan\left(\frac{473996388635948633452428917614298985996886224511260115036680453514888144148250 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{2} + 19325031480489228255674265966448835967818926087643600184123099965366515892788 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(771225779807741020855977802972631216428368740202755221603971931588718036144 \, x^{6} + 245889484278411189833195613987401279765924206559249102388797804808538611984375 \, x^{3} - 771225779807741020855977802972631216428368740202755221603971931588718036144\right)}}{3 \, {\left(15407513785538665202033017569552164636906896740149986002803824712402669144 \, x^{6} - 227351086091515241263579358841494627179170556108548407412281480599473216796875 \, x^{3} - 15407513785538665202033017569552164636906896740149986002803824712402669144\right)}}\right) - x^{2} \log\left(\frac{x^{6} - x^{3} + 3 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{6} - 1\right)}^{\frac{2}{3}} x - 1}{x^{6} - x^{3} - 1}\right) - 3 \, {\left(x^{6} - 1\right)}^{\frac{2}{3}}}{6 \, x^{2}}"," ",0,"-1/6*(2*sqrt(3)*x^2*arctan(1/3*(473996388635948633452428917614298985996886224511260115036680453514888144148250*sqrt(3)*(x^6 - 1)^(1/3)*x^2 + 19325031480489228255674265966448835967818926087643600184123099965366515892788*sqrt(3)*(x^6 - 1)^(2/3)*x + sqrt(3)*(771225779807741020855977802972631216428368740202755221603971931588718036144*x^6 + 245889484278411189833195613987401279765924206559249102388797804808538611984375*x^3 - 771225779807741020855977802972631216428368740202755221603971931588718036144))/(15407513785538665202033017569552164636906896740149986002803824712402669144*x^6 - 227351086091515241263579358841494627179170556108548407412281480599473216796875*x^3 - 15407513785538665202033017569552164636906896740149986002803824712402669144)) - x^2*log((x^6 - x^3 + 3*(x^6 - 1)^(1/3)*x^2 - 3*(x^6 - 1)^(2/3)*x - 1)/(x^6 - x^3 - 1)) - 3*(x^6 - 1)^(2/3))/x^2","A",0
1308,1,135,0,9.310798," ","integrate((x^6-1)*(x^6+1)^(2/3)/x^3/(x^6-x^3+1),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x^{2} \arctan\left(\frac{1078 \, \sqrt{3} {\left(x^{6} + 1\right)}^{\frac{1}{3}} x^{2} + 196 \, \sqrt{3} {\left(x^{6} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(32 \, x^{6} + 605 \, x^{3} + 32\right)}}{8 \, x^{6} - 1331 \, x^{3} + 8}\right) - x^{2} \log\left(\frac{x^{6} - x^{3} + 3 \, {\left(x^{6} + 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{6} + 1\right)}^{\frac{2}{3}} x + 1}{x^{6} - x^{3} + 1}\right) - 3 \, {\left(x^{6} + 1\right)}^{\frac{2}{3}}}{6 \, x^{2}}"," ",0,"-1/6*(2*sqrt(3)*x^2*arctan((1078*sqrt(3)*(x^6 + 1)^(1/3)*x^2 + 196*sqrt(3)*(x^6 + 1)^(2/3)*x + sqrt(3)*(32*x^6 + 605*x^3 + 32))/(8*x^6 - 1331*x^3 + 8)) - x^2*log((x^6 - x^3 + 3*(x^6 + 1)^(1/3)*x^2 - 3*(x^6 + 1)^(2/3)*x + 1)/(x^6 - x^3 + 1)) - 3*(x^6 + 1)^(2/3))/x^2","A",0
1309,-1,0,0,0.000000," ","integrate((x^8-1)/(x^4-x^2)^(1/4)/(x^8+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1310,-1,0,0,0.000000," ","integrate((x^8-1)/(x^4-x^2)^(1/4)/(x^8+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1311,1,227,0,19.503342," ","integrate((x^8+3*x^4+1)/x^2/(x^4+1)^(3/4)/(3*x^8+3*x^4+1),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x \arctan\left(\frac{2 \, {\left(\sqrt{3} {\left(3 \, x^{5} - x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} - \sqrt{3} {\left(3 \, x^{7} + 4 \, x^{3}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}\right)}}{21 \, x^{8} + 21 \, x^{4} - 1}\right) - \sqrt{3} x \log\left(-\frac{441 \, x^{16} + 882 \, x^{12} + 543 \, x^{8} + 102 \, x^{4} + 4 \, \sqrt{3} {\left(63 \, x^{13} + 78 \, x^{9} + 24 \, x^{5} + x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + 4 \, \sqrt{3} {\left(63 \, x^{15} + 111 \, x^{11} + 57 \, x^{7} + 8 \, x^{3}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}} + 24 \, {\left(18 \, x^{14} + 27 \, x^{10} + 11 \, x^{6} + x^{2}\right)} \sqrt{x^{4} + 1} + 1}{9 \, x^{16} + 18 \, x^{12} + 15 \, x^{8} + 6 \, x^{4} + 1}\right) + 12 \, {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{12 \, x}"," ",0,"-1/12*(2*sqrt(3)*x*arctan(2*(sqrt(3)*(3*x^5 - x)*(x^4 + 1)^(3/4) - sqrt(3)*(3*x^7 + 4*x^3)*(x^4 + 1)^(1/4))/(21*x^8 + 21*x^4 - 1)) - sqrt(3)*x*log(-(441*x^16 + 882*x^12 + 543*x^8 + 102*x^4 + 4*sqrt(3)*(63*x^13 + 78*x^9 + 24*x^5 + x)*(x^4 + 1)^(3/4) + 4*sqrt(3)*(63*x^15 + 111*x^11 + 57*x^7 + 8*x^3)*(x^4 + 1)^(1/4) + 24*(18*x^14 + 27*x^10 + 11*x^6 + x^2)*sqrt(x^4 + 1) + 1)/(9*x^16 + 18*x^12 + 15*x^8 + 6*x^4 + 1)) + 12*(x^4 + 1)^(1/4))/x","B",0
1312,1,3517,0,0.694109," ","integrate((c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2)/(a^2*x^2+b),x, algorithm=""fricas"")","\frac{4 \, {\left(\sqrt{2} a^{8} b^{4} \sqrt{-\frac{1}{a^{8} b^{3}}} - \sqrt{2} a^{4} b^{2} c^{2}\right)} \sqrt{-4 \, a^{6} b^{2} c \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \sqrt{-\frac{1}{a^{8} b^{3}}} - 4 \, a^{4} b c^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + 4} \left(\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}\right)^{\frac{3}{4}} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} \sqrt{-4 \, a^{6} b^{2} c \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \sqrt{-\frac{1}{a^{8} b^{3}}} - 4 \, a^{4} b c^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + 4} {\left({\left(\sqrt{2} a^{11} b^{5} \sqrt{-\frac{1}{a^{8} b^{3}}} - \sqrt{2} a^{7} b^{3} c^{2}\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} - {\left(\sqrt{2} a^{9} b^{4} c \sqrt{-\frac{1}{a^{8} b^{3}}} - \sqrt{2} a^{5} b^{2} c^{3}\right)} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}}\right)} \sqrt{\frac{2 \, c^{5} + \sqrt{-4 \, a^{6} b^{2} c \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \sqrt{-\frac{1}{a^{8} b^{3}}} - 4 \, a^{4} b c^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + 4} {\left(\sqrt{2} {\left(a^{5} b^{2} c^{4} + a^{5} b^{3}\right)} \sqrt{-\frac{1}{a^{8} b^{3}}} - {\left(\sqrt{2} a^{7} b^{3} c^{3} \sqrt{-\frac{1}{a^{8} b^{3}}} + \sqrt{2} a^{3} b^{2} c\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}} \left(\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}\right)^{\frac{1}{4}} + 2 \, b c + 2 \, {\left(c^{4} + b\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} - 2 \, {\left(a^{2} b c^{4} + a^{2} b^{2}\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}}}{c^{4} + b}} \left(\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}\right)^{\frac{3}{4}} - 2 \, \sqrt{-4 \, a^{6} b^{2} c \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \sqrt{-\frac{1}{a^{8} b^{3}}} - 4 \, a^{4} b c^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + 4} {\left({\left(\sqrt{2} a^{11} b^{5} \sqrt{-\frac{1}{a^{8} b^{3}}} - \sqrt{2} a^{7} b^{3} c^{2}\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} - {\left(\sqrt{2} a^{9} b^{4} c \sqrt{-\frac{1}{a^{8} b^{3}}} - \sqrt{2} a^{5} b^{2} c^{3}\right)} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}} \left(\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}\right)^{\frac{3}{4}} + 4 \, {\left(a^{8} b^{3} c^{4} + a^{8} b^{4}\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{3}{4}} - 4 \, {\left(a^{6} b^{2} c^{5} + a^{6} b^{3} c\right)} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{3}{4}}}{4 \, {\left(c^{4} + b\right)}}\right) + 4 \, {\left(\sqrt{2} a^{8} b^{4} \sqrt{-\frac{1}{a^{8} b^{3}}} - \sqrt{2} a^{4} b^{2} c^{2}\right)} \sqrt{-4 \, a^{6} b^{2} c \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \sqrt{-\frac{1}{a^{8} b^{3}}} - 4 \, a^{4} b c^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + 4} \left(\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}\right)^{\frac{3}{4}} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} \sqrt{-4 \, a^{6} b^{2} c \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \sqrt{-\frac{1}{a^{8} b^{3}}} - 4 \, a^{4} b c^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + 4} {\left({\left(\sqrt{2} a^{11} b^{5} \sqrt{-\frac{1}{a^{8} b^{3}}} - \sqrt{2} a^{7} b^{3} c^{2}\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} - {\left(\sqrt{2} a^{9} b^{4} c \sqrt{-\frac{1}{a^{8} b^{3}}} - \sqrt{2} a^{5} b^{2} c^{3}\right)} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}}\right)} \sqrt{\frac{2 \, c^{5} - \sqrt{-4 \, a^{6} b^{2} c \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \sqrt{-\frac{1}{a^{8} b^{3}}} - 4 \, a^{4} b c^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + 4} {\left(\sqrt{2} {\left(a^{5} b^{2} c^{4} + a^{5} b^{3}\right)} \sqrt{-\frac{1}{a^{8} b^{3}}} - {\left(\sqrt{2} a^{7} b^{3} c^{3} \sqrt{-\frac{1}{a^{8} b^{3}}} + \sqrt{2} a^{3} b^{2} c\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}} \left(\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}\right)^{\frac{1}{4}} + 2 \, b c + 2 \, {\left(c^{4} + b\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} - 2 \, {\left(a^{2} b c^{4} + a^{2} b^{2}\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}}}{c^{4} + b}} \left(\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}\right)^{\frac{3}{4}} - 2 \, \sqrt{-4 \, a^{6} b^{2} c \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \sqrt{-\frac{1}{a^{8} b^{3}}} - 4 \, a^{4} b c^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + 4} {\left({\left(\sqrt{2} a^{11} b^{5} \sqrt{-\frac{1}{a^{8} b^{3}}} - \sqrt{2} a^{7} b^{3} c^{2}\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} - {\left(\sqrt{2} a^{9} b^{4} c \sqrt{-\frac{1}{a^{8} b^{3}}} - \sqrt{2} a^{5} b^{2} c^{3}\right)} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}} \left(\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}\right)^{\frac{3}{4}} - 4 \, {\left(a^{8} b^{3} c^{4} + a^{8} b^{4}\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{3}{4}} + 4 \, {\left(a^{6} b^{2} c^{5} + a^{6} b^{3} c\right)} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{3}{4}}}{4 \, {\left(c^{4} + b\right)}}\right) + \sqrt{-4 \, a^{6} b^{2} c \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \sqrt{-\frac{1}{a^{8} b^{3}}} - 4 \, a^{4} b c^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + 4} {\left(\sqrt{2} {\left(c^{4} + b\right)} + {\left(\sqrt{2} a^{6} b^{3} c \sqrt{-\frac{1}{a^{8} b^{3}}} - \sqrt{2} a^{2} b c^{3}\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}}\right)} \left(\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}\right)^{\frac{1}{4}} \log\left(\frac{2 \, {\left(2 \, c^{5} + \sqrt{-4 \, a^{6} b^{2} c \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \sqrt{-\frac{1}{a^{8} b^{3}}} - 4 \, a^{4} b c^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + 4} {\left(\sqrt{2} {\left(a^{5} b^{2} c^{4} + a^{5} b^{3}\right)} \sqrt{-\frac{1}{a^{8} b^{3}}} - {\left(\sqrt{2} a^{7} b^{3} c^{3} \sqrt{-\frac{1}{a^{8} b^{3}}} + \sqrt{2} a^{3} b^{2} c\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}} \left(\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}\right)^{\frac{1}{4}} + 2 \, b c + 2 \, {\left(c^{4} + b\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} - 2 \, {\left(a^{2} b c^{4} + a^{2} b^{2}\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}}\right)}}{c^{4} + b}\right) - \sqrt{-4 \, a^{6} b^{2} c \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \sqrt{-\frac{1}{a^{8} b^{3}}} - 4 \, a^{4} b c^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + 4} {\left(\sqrt{2} {\left(c^{4} + b\right)} + {\left(\sqrt{2} a^{6} b^{3} c \sqrt{-\frac{1}{a^{8} b^{3}}} - \sqrt{2} a^{2} b c^{3}\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}}\right)} \left(\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}\right)^{\frac{1}{4}} \log\left(\frac{2 \, {\left(2 \, c^{5} - \sqrt{-4 \, a^{6} b^{2} c \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \sqrt{-\frac{1}{a^{8} b^{3}}} - 4 \, a^{4} b c^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + 4} {\left(\sqrt{2} {\left(a^{5} b^{2} c^{4} + a^{5} b^{3}\right)} \sqrt{-\frac{1}{a^{8} b^{3}}} - {\left(\sqrt{2} a^{7} b^{3} c^{3} \sqrt{-\frac{1}{a^{8} b^{3}}} + \sqrt{2} a^{3} b^{2} c\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}} \left(\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}\right)^{\frac{1}{4}} + 2 \, b c + 2 \, {\left(c^{4} + b\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} - 2 \, {\left(a^{2} b c^{4} + a^{2} b^{2}\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}}\right)}}{c^{4} + b}\right) - 4 \, {\left(c^{4} + b\right)} \sqrt{-\frac{a^{2} b \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} + c}{a^{2} b}} \log\left(2 \, a^{5} b^{2} \sqrt{-\frac{a^{2} b \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} + c}{a^{2} b}} \sqrt{-\frac{1}{a^{8} b^{3}}} + 2 \, \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}\right) + 4 \, {\left(c^{4} + b\right)} \sqrt{-\frac{a^{2} b \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} + c}{a^{2} b}} \log\left(-2 \, a^{5} b^{2} \sqrt{-\frac{a^{2} b \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} + c}{a^{2} b}} \sqrt{-\frac{1}{a^{8} b^{3}}} + 2 \, \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}\right) - 4 \, {\left(c^{4} + b\right)} \sqrt{\frac{a^{2} b \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} - c}{a^{2} b}} \log\left(2 \, a^{5} b^{2} \sqrt{\frac{a^{2} b \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} - c}{a^{2} b}} \sqrt{-\frac{1}{a^{8} b^{3}}} + 2 \, \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}\right) + 4 \, {\left(c^{4} + b\right)} \sqrt{\frac{a^{2} b \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} - c}{a^{2} b}} \log\left(-2 \, a^{5} b^{2} \sqrt{\frac{a^{2} b \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} - c}{a^{2} b}} \sqrt{-\frac{1}{a^{8} b^{3}}} + 2 \, \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}\right)}{4 \, {\left(c^{4} + b\right)}}"," ",0,"1/4*(4*(sqrt(2)*a^8*b^4*sqrt(-1/(a^8*b^3)) - sqrt(2)*a^4*b^2*c^2)*sqrt(-4*a^6*b^2*c*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*sqrt(-1/(a^8*b^3)) - 4*a^4*b*c^2*sqrt(-1/(a^8*b^3)) + 4)*((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))^(3/4)*(-1/(a^8*b^3))^(1/4)*arctan(1/4*(sqrt(2)*sqrt(-4*a^6*b^2*c*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*sqrt(-1/(a^8*b^3)) - 4*a^4*b*c^2*sqrt(-1/(a^8*b^3)) + 4)*((sqrt(2)*a^11*b^5*sqrt(-1/(a^8*b^3)) - sqrt(2)*a^7*b^3*c^2)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*(-1/(a^8*b^3))^(1/4) - (sqrt(2)*a^9*b^4*c*sqrt(-1/(a^8*b^3)) - sqrt(2)*a^5*b^2*c^3)*(-1/(a^8*b^3))^(1/4))*sqrt((2*c^5 + sqrt(-4*a^6*b^2*c*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*sqrt(-1/(a^8*b^3)) - 4*a^4*b*c^2*sqrt(-1/(a^8*b^3)) + 4)*(sqrt(2)*(a^5*b^2*c^4 + a^5*b^3)*sqrt(-1/(a^8*b^3)) - (sqrt(2)*a^7*b^3*c^3*sqrt(-1/(a^8*b^3)) + sqrt(2)*a^3*b^2*c)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2)))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))*((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))^(1/4) + 2*b*c + 2*(c^4 + b)*sqrt(a*x + sqrt(a^2*x^2 + b)) - 2*(a^2*b*c^4 + a^2*b^2)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2)))/(c^4 + b))*((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))^(3/4) - 2*sqrt(-4*a^6*b^2*c*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*sqrt(-1/(a^8*b^3)) - 4*a^4*b*c^2*sqrt(-1/(a^8*b^3)) + 4)*((sqrt(2)*a^11*b^5*sqrt(-1/(a^8*b^3)) - sqrt(2)*a^7*b^3*c^2)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*(-1/(a^8*b^3))^(1/4) - (sqrt(2)*a^9*b^4*c*sqrt(-1/(a^8*b^3)) - sqrt(2)*a^5*b^2*c^3)*(-1/(a^8*b^3))^(1/4))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))*((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))^(3/4) + 4*(a^8*b^3*c^4 + a^8*b^4)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*(-1/(a^8*b^3))^(3/4) - 4*(a^6*b^2*c^5 + a^6*b^3*c)*(-1/(a^8*b^3))^(3/4))/(c^4 + b)) + 4*(sqrt(2)*a^8*b^4*sqrt(-1/(a^8*b^3)) - sqrt(2)*a^4*b^2*c^2)*sqrt(-4*a^6*b^2*c*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*sqrt(-1/(a^8*b^3)) - 4*a^4*b*c^2*sqrt(-1/(a^8*b^3)) + 4)*((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))^(3/4)*(-1/(a^8*b^3))^(1/4)*arctan(1/4*(sqrt(2)*sqrt(-4*a^6*b^2*c*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*sqrt(-1/(a^8*b^3)) - 4*a^4*b*c^2*sqrt(-1/(a^8*b^3)) + 4)*((sqrt(2)*a^11*b^5*sqrt(-1/(a^8*b^3)) - sqrt(2)*a^7*b^3*c^2)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*(-1/(a^8*b^3))^(1/4) - (sqrt(2)*a^9*b^4*c*sqrt(-1/(a^8*b^3)) - sqrt(2)*a^5*b^2*c^3)*(-1/(a^8*b^3))^(1/4))*sqrt((2*c^5 - sqrt(-4*a^6*b^2*c*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*sqrt(-1/(a^8*b^3)) - 4*a^4*b*c^2*sqrt(-1/(a^8*b^3)) + 4)*(sqrt(2)*(a^5*b^2*c^4 + a^5*b^3)*sqrt(-1/(a^8*b^3)) - (sqrt(2)*a^7*b^3*c^3*sqrt(-1/(a^8*b^3)) + sqrt(2)*a^3*b^2*c)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2)))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))*((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))^(1/4) + 2*b*c + 2*(c^4 + b)*sqrt(a*x + sqrt(a^2*x^2 + b)) - 2*(a^2*b*c^4 + a^2*b^2)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2)))/(c^4 + b))*((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))^(3/4) - 2*sqrt(-4*a^6*b^2*c*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*sqrt(-1/(a^8*b^3)) - 4*a^4*b*c^2*sqrt(-1/(a^8*b^3)) + 4)*((sqrt(2)*a^11*b^5*sqrt(-1/(a^8*b^3)) - sqrt(2)*a^7*b^3*c^2)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*(-1/(a^8*b^3))^(1/4) - (sqrt(2)*a^9*b^4*c*sqrt(-1/(a^8*b^3)) - sqrt(2)*a^5*b^2*c^3)*(-1/(a^8*b^3))^(1/4))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))*((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))^(3/4) - 4*(a^8*b^3*c^4 + a^8*b^4)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*(-1/(a^8*b^3))^(3/4) + 4*(a^6*b^2*c^5 + a^6*b^3*c)*(-1/(a^8*b^3))^(3/4))/(c^4 + b)) + sqrt(-4*a^6*b^2*c*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*sqrt(-1/(a^8*b^3)) - 4*a^4*b*c^2*sqrt(-1/(a^8*b^3)) + 4)*(sqrt(2)*(c^4 + b) + (sqrt(2)*a^6*b^3*c*sqrt(-1/(a^8*b^3)) - sqrt(2)*a^2*b*c^3)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2)))*((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))^(1/4)*log(2*(2*c^5 + sqrt(-4*a^6*b^2*c*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*sqrt(-1/(a^8*b^3)) - 4*a^4*b*c^2*sqrt(-1/(a^8*b^3)) + 4)*(sqrt(2)*(a^5*b^2*c^4 + a^5*b^3)*sqrt(-1/(a^8*b^3)) - (sqrt(2)*a^7*b^3*c^3*sqrt(-1/(a^8*b^3)) + sqrt(2)*a^3*b^2*c)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2)))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))*((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))^(1/4) + 2*b*c + 2*(c^4 + b)*sqrt(a*x + sqrt(a^2*x^2 + b)) - 2*(a^2*b*c^4 + a^2*b^2)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2)))/(c^4 + b)) - sqrt(-4*a^6*b^2*c*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*sqrt(-1/(a^8*b^3)) - 4*a^4*b*c^2*sqrt(-1/(a^8*b^3)) + 4)*(sqrt(2)*(c^4 + b) + (sqrt(2)*a^6*b^3*c*sqrt(-1/(a^8*b^3)) - sqrt(2)*a^2*b*c^3)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2)))*((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))^(1/4)*log(2*(2*c^5 - sqrt(-4*a^6*b^2*c*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*sqrt(-1/(a^8*b^3)) - 4*a^4*b*c^2*sqrt(-1/(a^8*b^3)) + 4)*(sqrt(2)*(a^5*b^2*c^4 + a^5*b^3)*sqrt(-1/(a^8*b^3)) - (sqrt(2)*a^7*b^3*c^3*sqrt(-1/(a^8*b^3)) + sqrt(2)*a^3*b^2*c)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2)))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))*((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))^(1/4) + 2*b*c + 2*(c^4 + b)*sqrt(a*x + sqrt(a^2*x^2 + b)) - 2*(a^2*b*c^4 + a^2*b^2)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2)))/(c^4 + b)) - 4*(c^4 + b)*sqrt(-(a^2*b*(-1/(a^8*b^3))^(1/4) + c)/(a^2*b))*log(2*a^5*b^2*sqrt(-(a^2*b*(-1/(a^8*b^3))^(1/4) + c)/(a^2*b))*sqrt(-1/(a^8*b^3)) + 2*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))) + 4*(c^4 + b)*sqrt(-(a^2*b*(-1/(a^8*b^3))^(1/4) + c)/(a^2*b))*log(-2*a^5*b^2*sqrt(-(a^2*b*(-1/(a^8*b^3))^(1/4) + c)/(a^2*b))*sqrt(-1/(a^8*b^3)) + 2*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))) - 4*(c^4 + b)*sqrt((a^2*b*(-1/(a^8*b^3))^(1/4) - c)/(a^2*b))*log(2*a^5*b^2*sqrt((a^2*b*(-1/(a^8*b^3))^(1/4) - c)/(a^2*b))*sqrt(-1/(a^8*b^3)) + 2*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))) + 4*(c^4 + b)*sqrt((a^2*b*(-1/(a^8*b^3))^(1/4) - c)/(a^2*b))*log(-2*a^5*b^2*sqrt((a^2*b*(-1/(a^8*b^3))^(1/4) - c)/(a^2*b))*sqrt(-1/(a^8*b^3)) + 2*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))))/(c^4 + b)","B",0
1313,1,3517,0,0.695737," ","integrate((c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2)/(a^2*x^2+b),x, algorithm=""fricas"")","\frac{4 \, {\left(\sqrt{2} a^{8} b^{4} \sqrt{-\frac{1}{a^{8} b^{3}}} - \sqrt{2} a^{4} b^{2} c^{2}\right)} \sqrt{-4 \, a^{6} b^{2} c \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \sqrt{-\frac{1}{a^{8} b^{3}}} - 4 \, a^{4} b c^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + 4} \left(\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}\right)^{\frac{3}{4}} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} \sqrt{-4 \, a^{6} b^{2} c \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \sqrt{-\frac{1}{a^{8} b^{3}}} - 4 \, a^{4} b c^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + 4} {\left({\left(\sqrt{2} a^{11} b^{5} \sqrt{-\frac{1}{a^{8} b^{3}}} - \sqrt{2} a^{7} b^{3} c^{2}\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} - {\left(\sqrt{2} a^{9} b^{4} c \sqrt{-\frac{1}{a^{8} b^{3}}} - \sqrt{2} a^{5} b^{2} c^{3}\right)} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}}\right)} \sqrt{\frac{2 \, c^{5} + \sqrt{-4 \, a^{6} b^{2} c \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \sqrt{-\frac{1}{a^{8} b^{3}}} - 4 \, a^{4} b c^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + 4} {\left(\sqrt{2} {\left(a^{5} b^{2} c^{4} + a^{5} b^{3}\right)} \sqrt{-\frac{1}{a^{8} b^{3}}} - {\left(\sqrt{2} a^{7} b^{3} c^{3} \sqrt{-\frac{1}{a^{8} b^{3}}} + \sqrt{2} a^{3} b^{2} c\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}} \left(\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}\right)^{\frac{1}{4}} + 2 \, b c + 2 \, {\left(c^{4} + b\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} - 2 \, {\left(a^{2} b c^{4} + a^{2} b^{2}\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}}}{c^{4} + b}} \left(\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}\right)^{\frac{3}{4}} - 2 \, \sqrt{-4 \, a^{6} b^{2} c \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \sqrt{-\frac{1}{a^{8} b^{3}}} - 4 \, a^{4} b c^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + 4} {\left({\left(\sqrt{2} a^{11} b^{5} \sqrt{-\frac{1}{a^{8} b^{3}}} - \sqrt{2} a^{7} b^{3} c^{2}\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} - {\left(\sqrt{2} a^{9} b^{4} c \sqrt{-\frac{1}{a^{8} b^{3}}} - \sqrt{2} a^{5} b^{2} c^{3}\right)} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}} \left(\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}\right)^{\frac{3}{4}} + 4 \, {\left(a^{8} b^{3} c^{4} + a^{8} b^{4}\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{3}{4}} - 4 \, {\left(a^{6} b^{2} c^{5} + a^{6} b^{3} c\right)} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{3}{4}}}{4 \, {\left(c^{4} + b\right)}}\right) + 4 \, {\left(\sqrt{2} a^{8} b^{4} \sqrt{-\frac{1}{a^{8} b^{3}}} - \sqrt{2} a^{4} b^{2} c^{2}\right)} \sqrt{-4 \, a^{6} b^{2} c \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \sqrt{-\frac{1}{a^{8} b^{3}}} - 4 \, a^{4} b c^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + 4} \left(\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}\right)^{\frac{3}{4}} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} \sqrt{-4 \, a^{6} b^{2} c \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \sqrt{-\frac{1}{a^{8} b^{3}}} - 4 \, a^{4} b c^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + 4} {\left({\left(\sqrt{2} a^{11} b^{5} \sqrt{-\frac{1}{a^{8} b^{3}}} - \sqrt{2} a^{7} b^{3} c^{2}\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} - {\left(\sqrt{2} a^{9} b^{4} c \sqrt{-\frac{1}{a^{8} b^{3}}} - \sqrt{2} a^{5} b^{2} c^{3}\right)} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}}\right)} \sqrt{\frac{2 \, c^{5} - \sqrt{-4 \, a^{6} b^{2} c \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \sqrt{-\frac{1}{a^{8} b^{3}}} - 4 \, a^{4} b c^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + 4} {\left(\sqrt{2} {\left(a^{5} b^{2} c^{4} + a^{5} b^{3}\right)} \sqrt{-\frac{1}{a^{8} b^{3}}} - {\left(\sqrt{2} a^{7} b^{3} c^{3} \sqrt{-\frac{1}{a^{8} b^{3}}} + \sqrt{2} a^{3} b^{2} c\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}} \left(\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}\right)^{\frac{1}{4}} + 2 \, b c + 2 \, {\left(c^{4} + b\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} - 2 \, {\left(a^{2} b c^{4} + a^{2} b^{2}\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}}}{c^{4} + b}} \left(\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}\right)^{\frac{3}{4}} - 2 \, \sqrt{-4 \, a^{6} b^{2} c \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \sqrt{-\frac{1}{a^{8} b^{3}}} - 4 \, a^{4} b c^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + 4} {\left({\left(\sqrt{2} a^{11} b^{5} \sqrt{-\frac{1}{a^{8} b^{3}}} - \sqrt{2} a^{7} b^{3} c^{2}\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} - {\left(\sqrt{2} a^{9} b^{4} c \sqrt{-\frac{1}{a^{8} b^{3}}} - \sqrt{2} a^{5} b^{2} c^{3}\right)} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}} \left(\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}\right)^{\frac{3}{4}} - 4 \, {\left(a^{8} b^{3} c^{4} + a^{8} b^{4}\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{3}{4}} + 4 \, {\left(a^{6} b^{2} c^{5} + a^{6} b^{3} c\right)} \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{3}{4}}}{4 \, {\left(c^{4} + b\right)}}\right) + \sqrt{-4 \, a^{6} b^{2} c \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \sqrt{-\frac{1}{a^{8} b^{3}}} - 4 \, a^{4} b c^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + 4} {\left(\sqrt{2} {\left(c^{4} + b\right)} + {\left(\sqrt{2} a^{6} b^{3} c \sqrt{-\frac{1}{a^{8} b^{3}}} - \sqrt{2} a^{2} b c^{3}\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}}\right)} \left(\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}\right)^{\frac{1}{4}} \log\left(\frac{2 \, {\left(2 \, c^{5} + \sqrt{-4 \, a^{6} b^{2} c \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \sqrt{-\frac{1}{a^{8} b^{3}}} - 4 \, a^{4} b c^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + 4} {\left(\sqrt{2} {\left(a^{5} b^{2} c^{4} + a^{5} b^{3}\right)} \sqrt{-\frac{1}{a^{8} b^{3}}} - {\left(\sqrt{2} a^{7} b^{3} c^{3} \sqrt{-\frac{1}{a^{8} b^{3}}} + \sqrt{2} a^{3} b^{2} c\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}} \left(\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}\right)^{\frac{1}{4}} + 2 \, b c + 2 \, {\left(c^{4} + b\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} - 2 \, {\left(a^{2} b c^{4} + a^{2} b^{2}\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}}\right)}}{c^{4} + b}\right) - \sqrt{-4 \, a^{6} b^{2} c \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \sqrt{-\frac{1}{a^{8} b^{3}}} - 4 \, a^{4} b c^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + 4} {\left(\sqrt{2} {\left(c^{4} + b\right)} + {\left(\sqrt{2} a^{6} b^{3} c \sqrt{-\frac{1}{a^{8} b^{3}}} - \sqrt{2} a^{2} b c^{3}\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}}\right)} \left(\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}\right)^{\frac{1}{4}} \log\left(\frac{2 \, {\left(2 \, c^{5} - \sqrt{-4 \, a^{6} b^{2} c \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}} \sqrt{-\frac{1}{a^{8} b^{3}}} - 4 \, a^{4} b c^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + 4} {\left(\sqrt{2} {\left(a^{5} b^{2} c^{4} + a^{5} b^{3}\right)} \sqrt{-\frac{1}{a^{8} b^{3}}} - {\left(\sqrt{2} a^{7} b^{3} c^{3} \sqrt{-\frac{1}{a^{8} b^{3}}} + \sqrt{2} a^{3} b^{2} c\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}} \left(\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}\right)^{\frac{1}{4}} + 2 \, b c + 2 \, {\left(c^{4} + b\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} - 2 \, {\left(a^{2} b c^{4} + a^{2} b^{2}\right)} \sqrt{\frac{a^{4} b^{2} \sqrt{-\frac{1}{a^{8} b^{3}}} + c^{2}}{a^{4} b^{2}}}\right)}}{c^{4} + b}\right) - 4 \, {\left(c^{4} + b\right)} \sqrt{-\frac{a^{2} b \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} + c}{a^{2} b}} \log\left(2 \, a^{5} b^{2} \sqrt{-\frac{a^{2} b \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} + c}{a^{2} b}} \sqrt{-\frac{1}{a^{8} b^{3}}} + 2 \, \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}\right) + 4 \, {\left(c^{4} + b\right)} \sqrt{-\frac{a^{2} b \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} + c}{a^{2} b}} \log\left(-2 \, a^{5} b^{2} \sqrt{-\frac{a^{2} b \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} + c}{a^{2} b}} \sqrt{-\frac{1}{a^{8} b^{3}}} + 2 \, \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}\right) - 4 \, {\left(c^{4} + b\right)} \sqrt{\frac{a^{2} b \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} - c}{a^{2} b}} \log\left(2 \, a^{5} b^{2} \sqrt{\frac{a^{2} b \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} - c}{a^{2} b}} \sqrt{-\frac{1}{a^{8} b^{3}}} + 2 \, \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}\right) + 4 \, {\left(c^{4} + b\right)} \sqrt{\frac{a^{2} b \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} - c}{a^{2} b}} \log\left(-2 \, a^{5} b^{2} \sqrt{\frac{a^{2} b \left(-\frac{1}{a^{8} b^{3}}\right)^{\frac{1}{4}} - c}{a^{2} b}} \sqrt{-\frac{1}{a^{8} b^{3}}} + 2 \, \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}\right)}{4 \, {\left(c^{4} + b\right)}}"," ",0,"1/4*(4*(sqrt(2)*a^8*b^4*sqrt(-1/(a^8*b^3)) - sqrt(2)*a^4*b^2*c^2)*sqrt(-4*a^6*b^2*c*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*sqrt(-1/(a^8*b^3)) - 4*a^4*b*c^2*sqrt(-1/(a^8*b^3)) + 4)*((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))^(3/4)*(-1/(a^8*b^3))^(1/4)*arctan(1/4*(sqrt(2)*sqrt(-4*a^6*b^2*c*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*sqrt(-1/(a^8*b^3)) - 4*a^4*b*c^2*sqrt(-1/(a^8*b^3)) + 4)*((sqrt(2)*a^11*b^5*sqrt(-1/(a^8*b^3)) - sqrt(2)*a^7*b^3*c^2)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*(-1/(a^8*b^3))^(1/4) - (sqrt(2)*a^9*b^4*c*sqrt(-1/(a^8*b^3)) - sqrt(2)*a^5*b^2*c^3)*(-1/(a^8*b^3))^(1/4))*sqrt((2*c^5 + sqrt(-4*a^6*b^2*c*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*sqrt(-1/(a^8*b^3)) - 4*a^4*b*c^2*sqrt(-1/(a^8*b^3)) + 4)*(sqrt(2)*(a^5*b^2*c^4 + a^5*b^3)*sqrt(-1/(a^8*b^3)) - (sqrt(2)*a^7*b^3*c^3*sqrt(-1/(a^8*b^3)) + sqrt(2)*a^3*b^2*c)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2)))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))*((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))^(1/4) + 2*b*c + 2*(c^4 + b)*sqrt(a*x + sqrt(a^2*x^2 + b)) - 2*(a^2*b*c^4 + a^2*b^2)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2)))/(c^4 + b))*((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))^(3/4) - 2*sqrt(-4*a^6*b^2*c*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*sqrt(-1/(a^8*b^3)) - 4*a^4*b*c^2*sqrt(-1/(a^8*b^3)) + 4)*((sqrt(2)*a^11*b^5*sqrt(-1/(a^8*b^3)) - sqrt(2)*a^7*b^3*c^2)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*(-1/(a^8*b^3))^(1/4) - (sqrt(2)*a^9*b^4*c*sqrt(-1/(a^8*b^3)) - sqrt(2)*a^5*b^2*c^3)*(-1/(a^8*b^3))^(1/4))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))*((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))^(3/4) + 4*(a^8*b^3*c^4 + a^8*b^4)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*(-1/(a^8*b^3))^(3/4) - 4*(a^6*b^2*c^5 + a^6*b^3*c)*(-1/(a^8*b^3))^(3/4))/(c^4 + b)) + 4*(sqrt(2)*a^8*b^4*sqrt(-1/(a^8*b^3)) - sqrt(2)*a^4*b^2*c^2)*sqrt(-4*a^6*b^2*c*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*sqrt(-1/(a^8*b^3)) - 4*a^4*b*c^2*sqrt(-1/(a^8*b^3)) + 4)*((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))^(3/4)*(-1/(a^8*b^3))^(1/4)*arctan(1/4*(sqrt(2)*sqrt(-4*a^6*b^2*c*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*sqrt(-1/(a^8*b^3)) - 4*a^4*b*c^2*sqrt(-1/(a^8*b^3)) + 4)*((sqrt(2)*a^11*b^5*sqrt(-1/(a^8*b^3)) - sqrt(2)*a^7*b^3*c^2)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*(-1/(a^8*b^3))^(1/4) - (sqrt(2)*a^9*b^4*c*sqrt(-1/(a^8*b^3)) - sqrt(2)*a^5*b^2*c^3)*(-1/(a^8*b^3))^(1/4))*sqrt((2*c^5 - sqrt(-4*a^6*b^2*c*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*sqrt(-1/(a^8*b^3)) - 4*a^4*b*c^2*sqrt(-1/(a^8*b^3)) + 4)*(sqrt(2)*(a^5*b^2*c^4 + a^5*b^3)*sqrt(-1/(a^8*b^3)) - (sqrt(2)*a^7*b^3*c^3*sqrt(-1/(a^8*b^3)) + sqrt(2)*a^3*b^2*c)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2)))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))*((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))^(1/4) + 2*b*c + 2*(c^4 + b)*sqrt(a*x + sqrt(a^2*x^2 + b)) - 2*(a^2*b*c^4 + a^2*b^2)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2)))/(c^4 + b))*((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))^(3/4) - 2*sqrt(-4*a^6*b^2*c*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*sqrt(-1/(a^8*b^3)) - 4*a^4*b*c^2*sqrt(-1/(a^8*b^3)) + 4)*((sqrt(2)*a^11*b^5*sqrt(-1/(a^8*b^3)) - sqrt(2)*a^7*b^3*c^2)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*(-1/(a^8*b^3))^(1/4) - (sqrt(2)*a^9*b^4*c*sqrt(-1/(a^8*b^3)) - sqrt(2)*a^5*b^2*c^3)*(-1/(a^8*b^3))^(1/4))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))*((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))^(3/4) - 4*(a^8*b^3*c^4 + a^8*b^4)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*(-1/(a^8*b^3))^(3/4) + 4*(a^6*b^2*c^5 + a^6*b^3*c)*(-1/(a^8*b^3))^(3/4))/(c^4 + b)) + sqrt(-4*a^6*b^2*c*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*sqrt(-1/(a^8*b^3)) - 4*a^4*b*c^2*sqrt(-1/(a^8*b^3)) + 4)*(sqrt(2)*(c^4 + b) + (sqrt(2)*a^6*b^3*c*sqrt(-1/(a^8*b^3)) - sqrt(2)*a^2*b*c^3)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2)))*((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))^(1/4)*log(2*(2*c^5 + sqrt(-4*a^6*b^2*c*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*sqrt(-1/(a^8*b^3)) - 4*a^4*b*c^2*sqrt(-1/(a^8*b^3)) + 4)*(sqrt(2)*(a^5*b^2*c^4 + a^5*b^3)*sqrt(-1/(a^8*b^3)) - (sqrt(2)*a^7*b^3*c^3*sqrt(-1/(a^8*b^3)) + sqrt(2)*a^3*b^2*c)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2)))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))*((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))^(1/4) + 2*b*c + 2*(c^4 + b)*sqrt(a*x + sqrt(a^2*x^2 + b)) - 2*(a^2*b*c^4 + a^2*b^2)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2)))/(c^4 + b)) - sqrt(-4*a^6*b^2*c*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*sqrt(-1/(a^8*b^3)) - 4*a^4*b*c^2*sqrt(-1/(a^8*b^3)) + 4)*(sqrt(2)*(c^4 + b) + (sqrt(2)*a^6*b^3*c*sqrt(-1/(a^8*b^3)) - sqrt(2)*a^2*b*c^3)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2)))*((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))^(1/4)*log(2*(2*c^5 - sqrt(-4*a^6*b^2*c*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))*sqrt(-1/(a^8*b^3)) - 4*a^4*b*c^2*sqrt(-1/(a^8*b^3)) + 4)*(sqrt(2)*(a^5*b^2*c^4 + a^5*b^3)*sqrt(-1/(a^8*b^3)) - (sqrt(2)*a^7*b^3*c^3*sqrt(-1/(a^8*b^3)) + sqrt(2)*a^3*b^2*c)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2)))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))*((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2))^(1/4) + 2*b*c + 2*(c^4 + b)*sqrt(a*x + sqrt(a^2*x^2 + b)) - 2*(a^2*b*c^4 + a^2*b^2)*sqrt((a^4*b^2*sqrt(-1/(a^8*b^3)) + c^2)/(a^4*b^2)))/(c^4 + b)) - 4*(c^4 + b)*sqrt(-(a^2*b*(-1/(a^8*b^3))^(1/4) + c)/(a^2*b))*log(2*a^5*b^2*sqrt(-(a^2*b*(-1/(a^8*b^3))^(1/4) + c)/(a^2*b))*sqrt(-1/(a^8*b^3)) + 2*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))) + 4*(c^4 + b)*sqrt(-(a^2*b*(-1/(a^8*b^3))^(1/4) + c)/(a^2*b))*log(-2*a^5*b^2*sqrt(-(a^2*b*(-1/(a^8*b^3))^(1/4) + c)/(a^2*b))*sqrt(-1/(a^8*b^3)) + 2*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))) - 4*(c^4 + b)*sqrt((a^2*b*(-1/(a^8*b^3))^(1/4) - c)/(a^2*b))*log(2*a^5*b^2*sqrt((a^2*b*(-1/(a^8*b^3))^(1/4) - c)/(a^2*b))*sqrt(-1/(a^8*b^3)) + 2*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))) + 4*(c^4 + b)*sqrt((a^2*b*(-1/(a^8*b^3))^(1/4) - c)/(a^2*b))*log(-2*a^5*b^2*sqrt((a^2*b*(-1/(a^8*b^3))^(1/4) - c)/(a^2*b))*sqrt(-1/(a^8*b^3)) + 2*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))))/(c^4 + b)","B",0
1314,1,104,0,0.729189," ","integrate((-1+x)/x^4/(x^3+1)^(1/3),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x^{3} \arctan\left(-\frac{\sqrt{3} {\left(x^{3} + 1\right)} - 2 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{2}{3}} + 4 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x^{3} + 9}\right) - x^{3} \log\left(\frac{x^{3} - 3 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} + 3 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x^{3}}\right) + 3 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} {\left(3 \, x - 2\right)}}{18 \, x^{3}}"," ",0,"-1/18*(2*sqrt(3)*x^3*arctan(-(sqrt(3)*(x^3 + 1) - 2*sqrt(3)*(x^3 + 1)^(2/3) + 4*sqrt(3)*(x^3 + 1)^(1/3))/(x^3 + 9)) - x^3*log((x^3 - 3*(x^3 + 1)^(2/3) + 3*(x^3 + 1)^(1/3))/x^3) + 3*(x^3 + 1)^(2/3)*(3*x - 2))/x^3","A",0
1315,-2,0,0,0.000000," ","integrate((3+2*x)*(x^3+x+1)^(1/3)/x^2/(1+x),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
1316,-1,0,0,0.000000," ","integrate((a^2-2*a*x+x^2)*(-a*b+2*(a-b)*x+x^2)/(x*(-a+x)*(-b+x))^(3/4)/(-a^3*d+(3*a^2*d+b)*x-(3*a*d+1)*x^2+d*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1317,-2,0,0,0.000000," ","integrate((x^2+1)^2/(-x^2+1)/(x^4-6*x^2+1)^(3/4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
1318,1,459,0,24.705941," ","integrate((x^3-4)*(x^4-x^3+1)/x^2/(x^3-1)^(3/4)/(x^4+x^3-1),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{2} x \arctan\left(\frac{\sqrt{2} {\left(x^{3} - 1\right)}^{\frac{1}{4}} x^{3} + \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{3}{4}} x - {\left(x^{4} - \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{1}{4}} x^{3} + x^{3} + 2 \, \sqrt{x^{3} - 1} x^{2} - \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{3}{4}} x - 1\right)} \sqrt{\frac{x^{4} + 2 \, \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{1}{4}} x^{3} + x^{3} + 4 \, \sqrt{x^{3} - 1} x^{2} + 2 \, \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{3}{4}} x - 1}{x^{4} + x^{3} - 1}}}{x^{4} - x^{3} + 1}\right) + 4 \, \sqrt{2} x \arctan\left(\frac{\sqrt{2} {\left(x^{3} - 1\right)}^{\frac{1}{4}} x^{3} + \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{3}{4}} x + {\left(x^{4} + \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{1}{4}} x^{3} + x^{3} + 2 \, \sqrt{x^{3} - 1} x^{2} + \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{3}{4}} x - 1\right)} \sqrt{\frac{x^{4} - 2 \, \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{1}{4}} x^{3} + x^{3} + 4 \, \sqrt{x^{3} - 1} x^{2} - 2 \, \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{3}{4}} x - 1}{x^{4} + x^{3} - 1}}}{x^{4} - x^{3} + 1}\right) + \sqrt{2} x \log\left(\frac{x^{4} + 2 \, \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{1}{4}} x^{3} + x^{3} + 4 \, \sqrt{x^{3} - 1} x^{2} + 2 \, \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{3}{4}} x - 1}{x^{4} + x^{3} - 1}\right) - \sqrt{2} x \log\left(\frac{x^{4} - 2 \, \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{1}{4}} x^{3} + x^{3} + 4 \, \sqrt{x^{3} - 1} x^{2} - 2 \, \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{3}{4}} x - 1}{x^{4} + x^{3} - 1}\right) - 8 \, {\left(x^{3} - 1\right)}^{\frac{1}{4}}}{2 \, x}"," ",0,"-1/2*(4*sqrt(2)*x*arctan((sqrt(2)*(x^3 - 1)^(1/4)*x^3 + sqrt(2)*(x^3 - 1)^(3/4)*x - (x^4 - sqrt(2)*(x^3 - 1)^(1/4)*x^3 + x^3 + 2*sqrt(x^3 - 1)*x^2 - sqrt(2)*(x^3 - 1)^(3/4)*x - 1)*sqrt((x^4 + 2*sqrt(2)*(x^3 - 1)^(1/4)*x^3 + x^3 + 4*sqrt(x^3 - 1)*x^2 + 2*sqrt(2)*(x^3 - 1)^(3/4)*x - 1)/(x^4 + x^3 - 1)))/(x^4 - x^3 + 1)) + 4*sqrt(2)*x*arctan((sqrt(2)*(x^3 - 1)^(1/4)*x^3 + sqrt(2)*(x^3 - 1)^(3/4)*x + (x^4 + sqrt(2)*(x^3 - 1)^(1/4)*x^3 + x^3 + 2*sqrt(x^3 - 1)*x^2 + sqrt(2)*(x^3 - 1)^(3/4)*x - 1)*sqrt((x^4 - 2*sqrt(2)*(x^3 - 1)^(1/4)*x^3 + x^3 + 4*sqrt(x^3 - 1)*x^2 - 2*sqrt(2)*(x^3 - 1)^(3/4)*x - 1)/(x^4 + x^3 - 1)))/(x^4 - x^3 + 1)) + sqrt(2)*x*log((x^4 + 2*sqrt(2)*(x^3 - 1)^(1/4)*x^3 + x^3 + 4*sqrt(x^3 - 1)*x^2 + 2*sqrt(2)*(x^3 - 1)^(3/4)*x - 1)/(x^4 + x^3 - 1)) - sqrt(2)*x*log((x^4 - 2*sqrt(2)*(x^3 - 1)^(1/4)*x^3 + x^3 + 4*sqrt(x^3 - 1)*x^2 - 2*sqrt(2)*(x^3 - 1)^(3/4)*x - 1)/(x^4 + x^3 - 1)) - 8*(x^3 - 1)^(1/4))/x","B",0
1319,1,280,0,101.935326," ","integrate((x^4-1)*(x^4+3)*(x^4-x^3-1)/x^6/(x^4-2*x^3-1)/(x^5-x)^(1/4),x, algorithm=""fricas"")","-\frac{84 \cdot 8^{\frac{1}{4}} x^{6} \arctan\left(\frac{16 \cdot 8^{\frac{1}{4}} {\left(x^{5} - x\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(8^{\frac{3}{4}} {\left(x^{4} + 2 \, x^{3} - 1\right)} + 8 \cdot 8^{\frac{1}{4}} \sqrt{x^{5} - x} x\right)} + 4 \cdot 8^{\frac{3}{4}} {\left(x^{5} - x\right)}^{\frac{3}{4}}}{8 \, {\left(x^{4} - 2 \, x^{3} - 1\right)}}\right) + 21 \cdot 8^{\frac{1}{4}} x^{6} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{5} - x\right)}^{\frac{1}{4}} x^{2} + 8^{\frac{3}{4}} \sqrt{x^{5} - x} x + 8^{\frac{1}{4}} {\left(x^{4} + 2 \, x^{3} - 1\right)} + 4 \, {\left(x^{5} - x\right)}^{\frac{3}{4}}}{x^{4} - 2 \, x^{3} - 1}\right) - 21 \cdot 8^{\frac{1}{4}} x^{6} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{5} - x\right)}^{\frac{1}{4}} x^{2} - 8^{\frac{3}{4}} \sqrt{x^{5} - x} x - 8^{\frac{1}{4}} {\left(x^{4} + 2 \, x^{3} - 1\right)} + 4 \, {\left(x^{5} - x\right)}^{\frac{3}{4}}}{x^{4} - 2 \, x^{3} - 1}\right) - 8 \, {\left(x^{5} - x\right)}^{\frac{3}{4}} {\left(3 \, x^{4} + 7 \, x^{3} - 3\right)}}{42 \, x^{6}}"," ",0,"-1/42*(84*8^(1/4)*x^6*arctan(1/8*(16*8^(1/4)*(x^5 - x)^(1/4)*x^2 + 2^(3/4)*(8^(3/4)*(x^4 + 2*x^3 - 1) + 8*8^(1/4)*sqrt(x^5 - x)*x) + 4*8^(3/4)*(x^5 - x)^(3/4))/(x^4 - 2*x^3 - 1)) + 21*8^(1/4)*x^6*log(-(4*sqrt(2)*(x^5 - x)^(1/4)*x^2 + 8^(3/4)*sqrt(x^5 - x)*x + 8^(1/4)*(x^4 + 2*x^3 - 1) + 4*(x^5 - x)^(3/4))/(x^4 - 2*x^3 - 1)) - 21*8^(1/4)*x^6*log(-(4*sqrt(2)*(x^5 - x)^(1/4)*x^2 - 8^(3/4)*sqrt(x^5 - x)*x - 8^(1/4)*(x^4 + 2*x^3 - 1) + 4*(x^5 - x)^(3/4))/(x^4 - 2*x^3 - 1)) - 8*(x^5 - x)^(3/4)*(3*x^4 + 7*x^3 - 3))/x^6","B",0
1320,-1,0,0,0.000000," ","integrate((a*x^5+4*b)*(a*x^5+c*x^4-b)/x^2/(a*x^5-b)^(3/4)/(a*x^5-c*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1321,1,702,0,173.496174," ","integrate((x^6-2)*(x^6-x^4+1)/x^4/(x^6+1)^(1/4)/(x^6+x^4+1),x, algorithm=""fricas"")","\frac{12 \, \sqrt{2} x^{3} \arctan\left(\frac{x^{12} + 2 \, x^{10} + x^{8} + 2 \, x^{6} + 2 \, x^{4} + 2 \, \sqrt{2} {\left(x^{7} - 3 \, x^{5} + x\right)} {\left(x^{6} + 1\right)}^{\frac{3}{4}} + 2 \, \sqrt{2} {\left(3 \, x^{9} - x^{7} + 3 \, x^{3}\right)} {\left(x^{6} + 1\right)}^{\frac{1}{4}} + 4 \, {\left(x^{8} + x^{6} + x^{2}\right)} \sqrt{x^{6} + 1} + {\left(16 \, {\left(x^{6} + 1\right)}^{\frac{3}{4}} x^{5} + 2 \, \sqrt{2} {\left(x^{8} - 3 \, x^{6} + x^{2}\right)} \sqrt{x^{6} + 1} + \sqrt{2} {\left(x^{12} - 8 \, x^{10} - x^{8} + 2 \, x^{6} - 8 \, x^{4} + 1\right)} + 4 \, {\left(x^{9} + x^{7} + x^{3}\right)} {\left(x^{6} + 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{6} + x^{4} + 2 \, \sqrt{2} {\left(x^{6} + 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{x^{6} + 1} x^{2} + 2 \, \sqrt{2} {\left(x^{6} + 1\right)}^{\frac{3}{4}} x + 1}{x^{6} + x^{4} + 1}} + 1}{x^{12} - 14 \, x^{10} + x^{8} + 2 \, x^{6} - 14 \, x^{4} + 1}\right) - 12 \, \sqrt{2} x^{3} \arctan\left(\frac{x^{12} + 2 \, x^{10} + x^{8} + 2 \, x^{6} + 2 \, x^{4} - 2 \, \sqrt{2} {\left(x^{7} - 3 \, x^{5} + x\right)} {\left(x^{6} + 1\right)}^{\frac{3}{4}} - 2 \, \sqrt{2} {\left(3 \, x^{9} - x^{7} + 3 \, x^{3}\right)} {\left(x^{6} + 1\right)}^{\frac{1}{4}} + 4 \, {\left(x^{8} + x^{6} + x^{2}\right)} \sqrt{x^{6} + 1} + {\left(16 \, {\left(x^{6} + 1\right)}^{\frac{3}{4}} x^{5} - 2 \, \sqrt{2} {\left(x^{8} - 3 \, x^{6} + x^{2}\right)} \sqrt{x^{6} + 1} - \sqrt{2} {\left(x^{12} - 8 \, x^{10} - x^{8} + 2 \, x^{6} - 8 \, x^{4} + 1\right)} + 4 \, {\left(x^{9} + x^{7} + x^{3}\right)} {\left(x^{6} + 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{6} + x^{4} - 2 \, \sqrt{2} {\left(x^{6} + 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{x^{6} + 1} x^{2} - 2 \, \sqrt{2} {\left(x^{6} + 1\right)}^{\frac{3}{4}} x + 1}{x^{6} + x^{4} + 1}} + 1}{x^{12} - 14 \, x^{10} + x^{8} + 2 \, x^{6} - 14 \, x^{4} + 1}\right) + 3 \, \sqrt{2} x^{3} \log\left(\frac{4 \, {\left(x^{6} + x^{4} + 2 \, \sqrt{2} {\left(x^{6} + 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{x^{6} + 1} x^{2} + 2 \, \sqrt{2} {\left(x^{6} + 1\right)}^{\frac{3}{4}} x + 1\right)}}{x^{6} + x^{4} + 1}\right) - 3 \, \sqrt{2} x^{3} \log\left(\frac{4 \, {\left(x^{6} + x^{4} - 2 \, \sqrt{2} {\left(x^{6} + 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{x^{6} + 1} x^{2} - 2 \, \sqrt{2} {\left(x^{6} + 1\right)}^{\frac{3}{4}} x + 1\right)}}{x^{6} + x^{4} + 1}\right) + 8 \, {\left(x^{6} + 1\right)}^{\frac{3}{4}}}{12 \, x^{3}}"," ",0,"1/12*(12*sqrt(2)*x^3*arctan((x^12 + 2*x^10 + x^8 + 2*x^6 + 2*x^4 + 2*sqrt(2)*(x^7 - 3*x^5 + x)*(x^6 + 1)^(3/4) + 2*sqrt(2)*(3*x^9 - x^7 + 3*x^3)*(x^6 + 1)^(1/4) + 4*(x^8 + x^6 + x^2)*sqrt(x^6 + 1) + (16*(x^6 + 1)^(3/4)*x^5 + 2*sqrt(2)*(x^8 - 3*x^6 + x^2)*sqrt(x^6 + 1) + sqrt(2)*(x^12 - 8*x^10 - x^8 + 2*x^6 - 8*x^4 + 1) + 4*(x^9 + x^7 + x^3)*(x^6 + 1)^(1/4))*sqrt((x^6 + x^4 + 2*sqrt(2)*(x^6 + 1)^(1/4)*x^3 + 4*sqrt(x^6 + 1)*x^2 + 2*sqrt(2)*(x^6 + 1)^(3/4)*x + 1)/(x^6 + x^4 + 1)) + 1)/(x^12 - 14*x^10 + x^8 + 2*x^6 - 14*x^4 + 1)) - 12*sqrt(2)*x^3*arctan((x^12 + 2*x^10 + x^8 + 2*x^6 + 2*x^4 - 2*sqrt(2)*(x^7 - 3*x^5 + x)*(x^6 + 1)^(3/4) - 2*sqrt(2)*(3*x^9 - x^7 + 3*x^3)*(x^6 + 1)^(1/4) + 4*(x^8 + x^6 + x^2)*sqrt(x^6 + 1) + (16*(x^6 + 1)^(3/4)*x^5 - 2*sqrt(2)*(x^8 - 3*x^6 + x^2)*sqrt(x^6 + 1) - sqrt(2)*(x^12 - 8*x^10 - x^8 + 2*x^6 - 8*x^4 + 1) + 4*(x^9 + x^7 + x^3)*(x^6 + 1)^(1/4))*sqrt((x^6 + x^4 - 2*sqrt(2)*(x^6 + 1)^(1/4)*x^3 + 4*sqrt(x^6 + 1)*x^2 - 2*sqrt(2)*(x^6 + 1)^(3/4)*x + 1)/(x^6 + x^4 + 1)) + 1)/(x^12 - 14*x^10 + x^8 + 2*x^6 - 14*x^4 + 1)) + 3*sqrt(2)*x^3*log(4*(x^6 + x^4 + 2*sqrt(2)*(x^6 + 1)^(1/4)*x^3 + 4*sqrt(x^6 + 1)*x^2 + 2*sqrt(2)*(x^6 + 1)^(3/4)*x + 1)/(x^6 + x^4 + 1)) - 3*sqrt(2)*x^3*log(4*(x^6 + x^4 - 2*sqrt(2)*(x^6 + 1)^(1/4)*x^3 + 4*sqrt(x^6 + 1)*x^2 - 2*sqrt(2)*(x^6 + 1)^(3/4)*x + 1)/(x^6 + x^4 + 1)) + 8*(x^6 + 1)^(3/4))/x^3","B",0
1322,-1,0,0,0.000000," ","integrate(x^4*(a*x^6+2*b)/(a*x^6-b)^(1/4)/(a*x^6-x^4-b)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1323,-1,0,0,0.000000," ","integrate((a*x^6+2*b)*(a*x^6-x^4-b)/x^4/(a*x^6-b)^(1/4)/(a*x^6-2*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1324,1,241,0,1.468057," ","integrate((-x^8-2*x^3-2*x^2-1)^(1/2)*(3*x^8+x^3-1)/(x^8+2*x^3+1)/(x^8+2*x^3+x^2+1),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{-2} \log\left(-\frac{2 \, {\left(\sqrt{-2} {\left(x^{8} + 2 \, x^{3} + 4 \, x^{2} + 1\right)} + 4 \, \sqrt{-x^{8} - 2 \, x^{3} - 2 \, x^{2} - 1} x\right)}}{x^{8} + 2 \, x^{3} + 1}\right) + \frac{1}{4} \, \sqrt{-2} \log\left(\frac{2 \, {\left(\sqrt{-2} {\left(x^{8} + 2 \, x^{3} + 4 \, x^{2} + 1\right)} - 4 \, \sqrt{-x^{8} - 2 \, x^{3} - 2 \, x^{2} - 1} x\right)}}{x^{8} + 2 \, x^{3} + 1}\right) - \frac{1}{4} i \, \log\left(\frac{i \, x^{8} + 2 i \, x^{3} + 3 i \, x^{2} - 2 \, \sqrt{-x^{8} - 2 \, x^{3} - 2 \, x^{2} - 1} x + i}{x^{8} + 2 \, x^{3} + x^{2} + 1}\right) + \frac{1}{4} i \, \log\left(\frac{-i \, x^{8} - 2 i \, x^{3} - 3 i \, x^{2} - 2 \, \sqrt{-x^{8} - 2 \, x^{3} - 2 \, x^{2} - 1} x - i}{x^{8} + 2 \, x^{3} + x^{2} + 1}\right)"," ",0,"-1/4*sqrt(-2)*log(-2*(sqrt(-2)*(x^8 + 2*x^3 + 4*x^2 + 1) + 4*sqrt(-x^8 - 2*x^3 - 2*x^2 - 1)*x)/(x^8 + 2*x^3 + 1)) + 1/4*sqrt(-2)*log(2*(sqrt(-2)*(x^8 + 2*x^3 + 4*x^2 + 1) - 4*sqrt(-x^8 - 2*x^3 - 2*x^2 - 1)*x)/(x^8 + 2*x^3 + 1)) - 1/4*I*log((I*x^8 + 2*I*x^3 + 3*I*x^2 - 2*sqrt(-x^8 - 2*x^3 - 2*x^2 - 1)*x + I)/(x^8 + 2*x^3 + x^2 + 1)) + 1/4*I*log((-I*x^8 - 2*I*x^3 - 3*I*x^2 - 2*sqrt(-x^8 - 2*x^3 - 2*x^2 - 1)*x - I)/(x^8 + 2*x^3 + x^2 + 1))","C",0
1325,1,438,0,0.839218," ","integrate((x^6+1)*(x^6-x^2-2)^(1/2)/(x^12-4*x^6-3*x^4+4),x, algorithm=""fricas"")","-\frac{1}{12} \, \sqrt{3} \sqrt{\sqrt{3} + 1} \arctan\left(\frac{4 \, {\left(x^{7} + \sqrt{3} x^{3} - 2 \, x^{3} - 2 \, x\right)} \sqrt{x^{6} - x^{2} - 2} \sqrt{\sqrt{3} + 1} - {\left(2 \, x^{12} - 10 \, x^{8} - 8 \, x^{6} + 12 \, x^{4} + 20 \, x^{2} - \sqrt{3} {\left(x^{12} - 6 \, x^{8} - 4 \, x^{6} + 7 \, x^{4} + 12 \, x^{2} + 4\right)} + 8\right)} \sqrt{6 \, \sqrt{3} + 10} \sqrt{\sqrt{3} + 1}}{2 \, {\left(x^{12} - 4 \, x^{8} - 4 \, x^{6} + x^{4} + 8 \, x^{2} + 4\right)}}\right) + \frac{1}{48} \, \sqrt{3} \sqrt{\sqrt{3} - 1} \log\left(\frac{4 \, {\left(2 \, x^{7} - 3 \, x^{3} - \sqrt{3} {\left(x^{7} - 2 \, x^{3} - 2 \, x\right)} - 4 \, x\right)} \sqrt{x^{6} - x^{2} - 2} + {\left(x^{12} - 8 \, x^{8} - 4 \, x^{6} + 9 \, x^{4} + 16 \, x^{2} - \sqrt{3} {\left(x^{12} - 4 \, x^{8} - 4 \, x^{6} + 5 \, x^{4} + 8 \, x^{2} + 4\right)} + 4\right)} \sqrt{\sqrt{3} - 1}}{x^{12} - 4 \, x^{6} - 3 \, x^{4} + 4}\right) - \frac{1}{48} \, \sqrt{3} \sqrt{\sqrt{3} - 1} \log\left(\frac{4 \, {\left(2 \, x^{7} - 3 \, x^{3} - \sqrt{3} {\left(x^{7} - 2 \, x^{3} - 2 \, x\right)} - 4 \, x\right)} \sqrt{x^{6} - x^{2} - 2} - {\left(x^{12} - 8 \, x^{8} - 4 \, x^{6} + 9 \, x^{4} + 16 \, x^{2} - \sqrt{3} {\left(x^{12} - 4 \, x^{8} - 4 \, x^{6} + 5 \, x^{4} + 8 \, x^{2} + 4\right)} + 4\right)} \sqrt{\sqrt{3} - 1}}{x^{12} - 4 \, x^{6} - 3 \, x^{4} + 4}\right)"," ",0,"-1/12*sqrt(3)*sqrt(sqrt(3) + 1)*arctan(1/2*(4*(x^7 + sqrt(3)*x^3 - 2*x^3 - 2*x)*sqrt(x^6 - x^2 - 2)*sqrt(sqrt(3) + 1) - (2*x^12 - 10*x^8 - 8*x^6 + 12*x^4 + 20*x^2 - sqrt(3)*(x^12 - 6*x^8 - 4*x^6 + 7*x^4 + 12*x^2 + 4) + 8)*sqrt(6*sqrt(3) + 10)*sqrt(sqrt(3) + 1))/(x^12 - 4*x^8 - 4*x^6 + x^4 + 8*x^2 + 4)) + 1/48*sqrt(3)*sqrt(sqrt(3) - 1)*log((4*(2*x^7 - 3*x^3 - sqrt(3)*(x^7 - 2*x^3 - 2*x) - 4*x)*sqrt(x^6 - x^2 - 2) + (x^12 - 8*x^8 - 4*x^6 + 9*x^4 + 16*x^2 - sqrt(3)*(x^12 - 4*x^8 - 4*x^6 + 5*x^4 + 8*x^2 + 4) + 4)*sqrt(sqrt(3) - 1))/(x^12 - 4*x^6 - 3*x^4 + 4)) - 1/48*sqrt(3)*sqrt(sqrt(3) - 1)*log((4*(2*x^7 - 3*x^3 - sqrt(3)*(x^7 - 2*x^3 - 2*x) - 4*x)*sqrt(x^6 - x^2 - 2) - (x^12 - 8*x^8 - 4*x^6 + 9*x^4 + 16*x^2 - sqrt(3)*(x^12 - 4*x^8 - 4*x^6 + 5*x^4 + 8*x^2 + 4) + 4)*sqrt(sqrt(3) - 1))/(x^12 - 4*x^6 - 3*x^4 + 4))","B",0
1326,1,88,0,0.497081," ","integrate(x*(x^3-1)^(1/3),x, algorithm=""fricas"")","\frac{1}{3} \, {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} - \frac{1}{9} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{1}{9} \, \log\left(-\frac{x - {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{18} \, \log\left(\frac{x^{2} + {\left(x^{3} - 1\right)}^{\frac{1}{3}} x + {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"1/3*(x^3 - 1)^(1/3)*x^2 - 1/9*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 - 1)^(1/3))/x) + 1/9*log(-(x - (x^3 - 1)^(1/3))/x) - 1/18*log((x^2 + (x^3 - 1)^(1/3)*x + (x^3 - 1)^(2/3))/x^2)","A",0
1327,1,88,0,0.655711," ","integrate(x*(x^3+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{3} \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} + \frac{1}{9} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{3 \, x}\right) - \frac{1}{9} \, \log\left(-\frac{x - {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{18} \, \log\left(\frac{x^{2} + {\left(x^{3} + 1\right)}^{\frac{1}{3}} x + {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"1/3*(x^3 + 1)^(1/3)*x^2 + 1/9*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + 1)^(1/3))/x) - 1/9*log(-(x - (x^3 + 1)^(1/3))/x) + 1/18*log((x^2 + (x^3 + 1)^(1/3)*x + (x^3 + 1)^(2/3))/x^2)","A",0
1328,1,95,0,0.701036," ","integrate((x^3+x)^(1/3)/x^2,x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x \arctan\left(-\frac{196 \, \sqrt{3} {\left(x^{3} + x\right)}^{\frac{1}{3}} x - \sqrt{3} {\left(539 \, x^{2} + 507\right)} - 1274 \, \sqrt{3} {\left(x^{3} + x\right)}^{\frac{2}{3}}}{2205 \, x^{2} + 2197}\right) + x \log\left(3 \, {\left(x^{3} + x\right)}^{\frac{1}{3}} x - 3 \, {\left(x^{3} + x\right)}^{\frac{2}{3}} + 1\right) + 6 \, {\left(x^{3} + x\right)}^{\frac{1}{3}}}{4 \, x}"," ",0,"-1/4*(2*sqrt(3)*x*arctan(-(196*sqrt(3)*(x^3 + x)^(1/3)*x - sqrt(3)*(539*x^2 + 507) - 1274*sqrt(3)*(x^3 + x)^(2/3))/(2205*x^2 + 2197)) + x*log(3*(x^3 + x)^(1/3)*x - 3*(x^3 + x)^(2/3) + 1) + 6*(x^3 + x)^(1/3))/x","A",0
1329,-1,0,0,0.000000," ","integrate((-1+x)*(k*x-1)*(3-2*(1+k)*x+k*x^2)/x/((1-x)*x*(-k*x+1))^(3/4)/(-1+(1+k)*x-k*x^2+d*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1330,-1,0,0,0.000000," ","integrate((x^2-2*x+1)*(-2+(-1+k)*(1+k)*x+2*k^2*x^2)/((-x^2+1)*(-k^2*x^2+1))^(3/4)/(-1+d-(1+3*d)*x+(k^2+3*d)*x^2+(k^2-d)*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1331,-1,0,0,0.000000," ","integrate(x^2/(a*x^2-b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1332,-1,0,0,0.000000," ","integrate((p*x^5+q)^(1/2)*(3*p*x^5-2*q)*(a*p*x^5+b*x^2+a*q)/x^4/(c*p*x^5+d*x^2+c*q),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1333,1,92,0,1.334052," ","integrate(x/(x^6+x^2)^(1/3),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{3} \arctan\left(-\frac{196 \, \sqrt{3} {\left(x^{6} + x^{2}\right)}^{\frac{1}{3}} x^{2} - \sqrt{3} {\left(539 \, x^{4} + 507\right)} - 1274 \, \sqrt{3} {\left(x^{6} + x^{2}\right)}^{\frac{2}{3}}}{2205 \, x^{4} + 2197}\right) - \frac{1}{8} \, \log\left(3 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{6} + x^{2}\right)}^{\frac{2}{3}} + 1\right)"," ",0,"1/4*sqrt(3)*arctan(-(196*sqrt(3)*(x^6 + x^2)^(1/3)*x^2 - sqrt(3)*(539*x^4 + 507) - 1274*sqrt(3)*(x^6 + x^2)^(2/3))/(2205*x^4 + 2197)) - 1/8*log(3*(x^6 + x^2)^(1/3)*x^2 - 3*(x^6 + x^2)^(2/3) + 1)","A",0
1334,1,678,0,57.336180," ","integrate((x^4-1)/(x^4+x^2+1)/(x^6+x^2)^(1/4),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{x^{9} + 2 \, x^{7} + 3 \, x^{5} + 2 \, x^{3} + 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 3 \, x^{2} + 1\right)} + 2 \, \sqrt{2} {\left(3 \, x^{6} - x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{6} + x^{2}} {\left(x^{5} + x^{3} + x\right)} + {\left(16 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} + 2 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 3 \, x^{3} + x\right)} + \sqrt{2} {\left(x^{9} - 8 \, x^{7} + x^{5} - 8 \, x^{3} + x\right)} + 4 \, {\left(x^{6} + x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{5} + x^{3} + 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{x^{6} + x^{2}} x + 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x}{x^{5} + x^{3} + x}} + x}{x^{9} - 14 \, x^{7} + 3 \, x^{5} - 14 \, x^{3} + x}\right) + \frac{1}{2} \, \sqrt{2} \arctan\left(\frac{x^{9} + 2 \, x^{7} + 3 \, x^{5} + 2 \, x^{3} - 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 3 \, x^{2} + 1\right)} - 2 \, \sqrt{2} {\left(3 \, x^{6} - x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{6} + x^{2}} {\left(x^{5} + x^{3} + x\right)} + {\left(16 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} - 2 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 3 \, x^{3} + x\right)} - \sqrt{2} {\left(x^{9} - 8 \, x^{7} + x^{5} - 8 \, x^{3} + x\right)} + 4 \, {\left(x^{6} + x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{5} + x^{3} - 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{x^{6} + x^{2}} x - 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x}{x^{5} + x^{3} + x}} + x}{x^{9} - 14 \, x^{7} + 3 \, x^{5} - 14 \, x^{3} + x}\right) - \frac{1}{8} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{5} + x^{3} + 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{x^{6} + x^{2}} x + 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x\right)}}{x^{5} + x^{3} + x}\right) + \frac{1}{8} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{5} + x^{3} - 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{x^{6} + x^{2}} x - 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x\right)}}{x^{5} + x^{3} + x}\right)"," ",0,"-1/2*sqrt(2)*arctan((x^9 + 2*x^7 + 3*x^5 + 2*x^3 + 2*sqrt(2)*(x^6 + x^2)^(3/4)*(x^4 - 3*x^2 + 1) + 2*sqrt(2)*(3*x^6 - x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 4*sqrt(x^6 + x^2)*(x^5 + x^3 + x) + (16*(x^6 + x^2)^(3/4)*x^2 + 2*sqrt(2)*sqrt(x^6 + x^2)*(x^5 - 3*x^3 + x) + sqrt(2)*(x^9 - 8*x^7 + x^5 - 8*x^3 + x) + 4*(x^6 + x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt((x^5 + x^3 + 2*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(x^6 + x^2)*x + 2*sqrt(2)*(x^6 + x^2)^(3/4) + x)/(x^5 + x^3 + x)) + x)/(x^9 - 14*x^7 + 3*x^5 - 14*x^3 + x)) + 1/2*sqrt(2)*arctan((x^9 + 2*x^7 + 3*x^5 + 2*x^3 - 2*sqrt(2)*(x^6 + x^2)^(3/4)*(x^4 - 3*x^2 + 1) - 2*sqrt(2)*(3*x^6 - x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 4*sqrt(x^6 + x^2)*(x^5 + x^3 + x) + (16*(x^6 + x^2)^(3/4)*x^2 - 2*sqrt(2)*sqrt(x^6 + x^2)*(x^5 - 3*x^3 + x) - sqrt(2)*(x^9 - 8*x^7 + x^5 - 8*x^3 + x) + 4*(x^6 + x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt((x^5 + x^3 - 2*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(x^6 + x^2)*x - 2*sqrt(2)*(x^6 + x^2)^(3/4) + x)/(x^5 + x^3 + x)) + x)/(x^9 - 14*x^7 + 3*x^5 - 14*x^3 + x)) - 1/8*sqrt(2)*log(4*(x^5 + x^3 + 2*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(x^6 + x^2)*x + 2*sqrt(2)*(x^6 + x^2)^(3/4) + x)/(x^5 + x^3 + x)) + 1/8*sqrt(2)*log(4*(x^5 + x^3 - 2*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(x^6 + x^2)*x - 2*sqrt(2)*(x^6 + x^2)^(3/4) + x)/(x^5 + x^3 + x))","B",0
1335,1,678,0,57.214373," ","integrate((x^4-1)/(x^4+x^2+1)/(x^6+x^2)^(1/4),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{x^{9} + 2 \, x^{7} + 3 \, x^{5} + 2 \, x^{3} + 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 3 \, x^{2} + 1\right)} + 2 \, \sqrt{2} {\left(3 \, x^{6} - x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{6} + x^{2}} {\left(x^{5} + x^{3} + x\right)} + {\left(16 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} + 2 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 3 \, x^{3} + x\right)} + \sqrt{2} {\left(x^{9} - 8 \, x^{7} + x^{5} - 8 \, x^{3} + x\right)} + 4 \, {\left(x^{6} + x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{5} + x^{3} + 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{x^{6} + x^{2}} x + 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x}{x^{5} + x^{3} + x}} + x}{x^{9} - 14 \, x^{7} + 3 \, x^{5} - 14 \, x^{3} + x}\right) + \frac{1}{2} \, \sqrt{2} \arctan\left(\frac{x^{9} + 2 \, x^{7} + 3 \, x^{5} + 2 \, x^{3} - 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 3 \, x^{2} + 1\right)} - 2 \, \sqrt{2} {\left(3 \, x^{6} - x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{6} + x^{2}} {\left(x^{5} + x^{3} + x\right)} + {\left(16 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} - 2 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 3 \, x^{3} + x\right)} - \sqrt{2} {\left(x^{9} - 8 \, x^{7} + x^{5} - 8 \, x^{3} + x\right)} + 4 \, {\left(x^{6} + x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{5} + x^{3} - 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{x^{6} + x^{2}} x - 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x}{x^{5} + x^{3} + x}} + x}{x^{9} - 14 \, x^{7} + 3 \, x^{5} - 14 \, x^{3} + x}\right) - \frac{1}{8} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{5} + x^{3} + 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{x^{6} + x^{2}} x + 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x\right)}}{x^{5} + x^{3} + x}\right) + \frac{1}{8} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{5} + x^{3} - 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{x^{6} + x^{2}} x - 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x\right)}}{x^{5} + x^{3} + x}\right)"," ",0,"-1/2*sqrt(2)*arctan((x^9 + 2*x^7 + 3*x^5 + 2*x^3 + 2*sqrt(2)*(x^6 + x^2)^(3/4)*(x^4 - 3*x^2 + 1) + 2*sqrt(2)*(3*x^6 - x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 4*sqrt(x^6 + x^2)*(x^5 + x^3 + x) + (16*(x^6 + x^2)^(3/4)*x^2 + 2*sqrt(2)*sqrt(x^6 + x^2)*(x^5 - 3*x^3 + x) + sqrt(2)*(x^9 - 8*x^7 + x^5 - 8*x^3 + x) + 4*(x^6 + x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt((x^5 + x^3 + 2*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(x^6 + x^2)*x + 2*sqrt(2)*(x^6 + x^2)^(3/4) + x)/(x^5 + x^3 + x)) + x)/(x^9 - 14*x^7 + 3*x^5 - 14*x^3 + x)) + 1/2*sqrt(2)*arctan((x^9 + 2*x^7 + 3*x^5 + 2*x^3 - 2*sqrt(2)*(x^6 + x^2)^(3/4)*(x^4 - 3*x^2 + 1) - 2*sqrt(2)*(3*x^6 - x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 4*sqrt(x^6 + x^2)*(x^5 + x^3 + x) + (16*(x^6 + x^2)^(3/4)*x^2 - 2*sqrt(2)*sqrt(x^6 + x^2)*(x^5 - 3*x^3 + x) - sqrt(2)*(x^9 - 8*x^7 + x^5 - 8*x^3 + x) + 4*(x^6 + x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt((x^5 + x^3 - 2*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(x^6 + x^2)*x - 2*sqrt(2)*(x^6 + x^2)^(3/4) + x)/(x^5 + x^3 + x)) + x)/(x^9 - 14*x^7 + 3*x^5 - 14*x^3 + x)) - 1/8*sqrt(2)*log(4*(x^5 + x^3 + 2*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(x^6 + x^2)*x + 2*sqrt(2)*(x^6 + x^2)^(3/4) + x)/(x^5 + x^3 + x)) + 1/8*sqrt(2)*log(4*(x^5 + x^3 - 2*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(x^6 + x^2)*x - 2*sqrt(2)*(x^6 + x^2)^(3/4) + x)/(x^5 + x^3 + x))","B",0
1336,-1,0,0,0.000000," ","integrate(x^2*(a*x^6+2*b)/(a*x^6-b)^(3/4)/(a*x^6-2*c*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1337,-1,0,0,0.000000," ","integrate(1/(a*x^4+b)^(1/4)/(x^8-2*a*x^4-2*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1338,-1,0,0,0.000000," ","integrate(1/(a*x^4+b)^(1/4)/(x^8-2*a*x^4-2*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1339,-1,0,0,0.000000," ","integrate((a*x^4-2*b)/(a*x^4+b)^(1/4)/(2*x^8-a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1340,1,197,0,0.704171," ","integrate((k^2*x^2+b*x+1)/((1-x)*x*(-k^2*x+1))^(1/2)/(k^2*x^2-1),x, algorithm=""fricas"")","-\frac{{\left({\left(b + 2\right)} k - 2 \, k^{2} - b\right)} \arctan\left(\frac{\sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 2 \, {\left(k^{2} + k + 1\right)} x + 1\right)}}{2 \, {\left({\left(k^{3} + k^{2}\right)} x^{3} - {\left(k^{3} + k^{2} + k + 1\right)} x^{2} + {\left(k + 1\right)} x\right)}}\right) - {\left({\left(b + 2\right)} k + 2 \, k^{2} + b\right)} \arctan\left(\frac{\sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 2 \, {\left(k^{2} - k + 1\right)} x + 1\right)}}{2 \, {\left({\left(k^{3} - k^{2}\right)} x^{3} - {\left(k^{3} - k^{2} + k - 1\right)} x^{2} + {\left(k - 1\right)} x\right)}}\right)}{4 \, {\left(k^{3} - k\right)}}"," ",0,"-1/4*(((b + 2)*k - 2*k^2 - b)*arctan(1/2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 2*(k^2 + k + 1)*x + 1)/((k^3 + k^2)*x^3 - (k^3 + k^2 + k + 1)*x^2 + (k + 1)*x)) - ((b + 2)*k + 2*k^2 + b)*arctan(1/2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 2*(k^2 - k + 1)*x + 1)/((k^3 - k^2)*x^3 - (k^3 - k^2 + k - 1)*x^2 + (k - 1)*x)))/(k^3 - k)","B",0
1341,1,86,0,0.502734," ","integrate((x^3-1)^(1/3)/x^7,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{6} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) - x^{6} \log\left({\left(x^{3} - 1\right)}^{\frac{2}{3}} - {\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) + 2 \, x^{6} \log\left({\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) + 3 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}} {\left(x^{3} - 3\right)}}{54 \, x^{6}}"," ",0,"1/54*(2*sqrt(3)*x^6*arctan(2/3*sqrt(3)*(x^3 - 1)^(1/3) - 1/3*sqrt(3)) - x^6*log((x^3 - 1)^(2/3) - (x^3 - 1)^(1/3) + 1) + 2*x^6*log((x^3 - 1)^(1/3) + 1) + 3*(x^3 - 1)^(1/3)*(x^3 - 3))/x^6","A",0
1342,1,83,0,0.503542," ","integrate((x^3+1)^(1/3)/x^7,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{6} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) + x^{6} \log\left({\left(x^{3} + 1\right)}^{\frac{2}{3}} + {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) - 2 \, x^{6} \log\left({\left(x^{3} + 1\right)}^{\frac{1}{3}} - 1\right) - 3 \, {\left(x^{3} + 3\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{54 \, x^{6}}"," ",0,"1/54*(2*sqrt(3)*x^6*arctan(2/3*sqrt(3)*(x^3 + 1)^(1/3) + 1/3*sqrt(3)) + x^6*log((x^3 + 1)^(2/3) + (x^3 + 1)^(1/3) + 1) - 2*x^6*log((x^3 + 1)^(1/3) - 1) - 3*(x^3 + 3)*(x^3 + 1)^(1/3))/x^6","A",0
1343,1,85,0,0.529834," ","integrate((x^3-1)*(x^3+1)^(1/3)/x^4,x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x^{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) + x^{3} \log\left({\left(x^{3} + 1\right)}^{\frac{2}{3}} + {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) - 2 \, x^{3} \log\left({\left(x^{3} + 1\right)}^{\frac{1}{3}} - 1\right) - 3 \, {\left(3 \, x^{3} + 1\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{9 \, x^{3}}"," ",0,"-1/9*(2*sqrt(3)*x^3*arctan(2/3*sqrt(3)*(x^3 + 1)^(1/3) + 1/3*sqrt(3)) + x^3*log((x^3 + 1)^(2/3) + (x^3 + 1)^(1/3) + 1) - 2*x^3*log((x^3 + 1)^(1/3) - 1) - 3*(3*x^3 + 1)*(x^3 + 1)^(1/3))/x^3","A",0
1344,-1,0,0,0.000000," ","integrate((1+x)/(x^3-x-1)/(x^3-x^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1345,-1,0,0,0.000000," ","integrate((1+x)/(x^3-x-1)/(x^3-x^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1346,1,2458,0,0.952785," ","integrate((x^2-1)/(x^2+1)/(x^3-x^2-x)^(1/2),x, algorithm=""fricas"")","\frac{1}{80} \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} - \sqrt{2}\right)} \sqrt{\sqrt{5} + 5} \log\left(\frac{5 \, {\left(5 \, x^{4} - 20 \, x^{3} + 5^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(\sqrt{5} \sqrt{2} {\left(x^{2} - 6 \, x - 1\right)} - 5 \, \sqrt{2} {\left(x^{2} - 2 \, x - 1\right)}\right)} \sqrt{\sqrt{5} + 5} + 30 \, x^{2} + 20 \, \sqrt{5} {\left(x^{3} - x^{2} - x\right)} + 20 \, x + 5\right)}}{x^{4} + 2 \, x^{2} + 1}\right) - \frac{1}{80} \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} - \sqrt{2}\right)} \sqrt{\sqrt{5} + 5} \log\left(\frac{5 \, {\left(5 \, x^{4} - 20 \, x^{3} - 5^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(\sqrt{5} \sqrt{2} {\left(x^{2} - 6 \, x - 1\right)} - 5 \, \sqrt{2} {\left(x^{2} - 2 \, x - 1\right)}\right)} \sqrt{\sqrt{5} + 5} + 30 \, x^{2} + 20 \, \sqrt{5} {\left(x^{3} - x^{2} - x\right)} + 20 \, x + 5\right)}}{x^{4} + 2 \, x^{2} + 1}\right) - \frac{1}{10} \cdot 5^{\frac{1}{4}} \sqrt{2} \sqrt{\sqrt{5} + 5} \arctan\left(-\frac{100 \, x^{11} + 1300 \, x^{10} - 6700 \, x^{9} - 4400 \, x^{8} + 28400 \, x^{7} + 1400 \, x^{6} - 28400 \, x^{5} - 4400 \, x^{4} + 6700 \, x^{3} + 1300 \, x^{2} + 5 \, \sqrt{x^{3} - x^{2} - x} {\left(5^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{10} - 4 \, x^{9} - 17 \, x^{8} + 56 \, x^{7} + 78 \, x^{6} - 136 \, x^{5} - 78 \, x^{4} + 56 \, x^{3} + 17 \, x^{2} - 4 \, x - 1\right)} - \sqrt{2} {\left(x^{10} + 8 \, x^{9} - 57 \, x^{8} - 24 \, x^{7} + 294 \, x^{6} + 64 \, x^{5} - 294 \, x^{4} - 24 \, x^{3} + 57 \, x^{2} + 8 \, x - 1\right)}\right)} + 4 \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(3 \, x^{9} + 7 \, x^{8} + 14 \, x^{7} - 81 \, x^{6} - 10 \, x^{5} + 81 \, x^{4} + 14 \, x^{3} - 7 \, x^{2} + 3 \, x\right)} - 5 \, \sqrt{2} {\left(x^{9} + 9 \, x^{8} - 18 \, x^{7} - 15 \, x^{6} + 26 \, x^{5} + 15 \, x^{4} - 18 \, x^{3} - 9 \, x^{2} + x\right)}\right)}\right)} \sqrt{\sqrt{5} + 5} - \sqrt{5} {\left(240 \, x^{10} + 160 \, x^{9} - 1680 \, x^{8} - 480 \, x^{7} + 3200 \, x^{6} + 480 \, x^{5} - 1680 \, x^{4} - 160 \, x^{3} + 240 \, x^{2} + \sqrt{x^{3} - x^{2} - x} {\left(5^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{10} - 6 \, x^{9} - 25 \, x^{8} + 120 \, x^{7} - 58 \, x^{6} - 196 \, x^{5} + 58 \, x^{4} + 120 \, x^{3} + 25 \, x^{2} - 6 \, x - 1\right)} - \sqrt{2} {\left(x^{10} - 2 \, x^{9} - 17 \, x^{8} + 216 \, x^{7} - 306 \, x^{6} - 396 \, x^{5} + 306 \, x^{4} + 216 \, x^{3} + 17 \, x^{2} - 2 \, x - 1\right)}\right)} + 4 \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(3 \, x^{9} - 3 \, x^{8} - 56 \, x^{7} + 69 \, x^{6} + 90 \, x^{5} - 69 \, x^{4} - 56 \, x^{3} + 3 \, x^{2} + 3 \, x\right)} - 5 \, \sqrt{2} {\left(x^{9} + 3 \, x^{8} - 28 \, x^{7} + 11 \, x^{6} + 54 \, x^{5} - 11 \, x^{4} - 28 \, x^{3} - 3 \, x^{2} + x\right)}\right)}\right)} \sqrt{\sqrt{5} + 5} + 4 \, \sqrt{5} {\left(5 \, x^{11} - 25 \, x^{10} - 105 \, x^{9} + 440 \, x^{8} + 50 \, x^{7} - 830 \, x^{6} - 50 \, x^{5} + 440 \, x^{4} + 105 \, x^{3} - 25 \, x^{2} - \sqrt{5} {\left(x^{11} + 3 \, x^{10} - 37 \, x^{9} + 96 \, x^{8} - 6 \, x^{7} - 166 \, x^{6} + 6 \, x^{5} + 96 \, x^{4} + 37 \, x^{3} + 3 \, x^{2} - x\right)} - 5 \, x\right)} - 80 \, \sqrt{5} {\left(x^{10} + 6 \, x^{9} - 23 \, x^{8} - 2 \, x^{7} + 40 \, x^{6} + 2 \, x^{5} - 23 \, x^{4} - 6 \, x^{3} + x^{2}\right)}\right)} \sqrt{\frac{5 \, x^{4} - 20 \, x^{3} + 5^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(\sqrt{5} \sqrt{2} {\left(x^{2} - 6 \, x - 1\right)} - 5 \, \sqrt{2} {\left(x^{2} - 2 \, x - 1\right)}\right)} \sqrt{\sqrt{5} + 5} + 30 \, x^{2} + 20 \, \sqrt{5} {\left(x^{3} - x^{2} - x\right)} + 20 \, x + 5}{x^{4} + 2 \, x^{2} + 1}} + 20 \, \sqrt{5} {\left(5 \, x^{11} - 15 \, x^{10} - 15 \, x^{9} + 20 \, x^{8} - 20 \, x^{7} + 70 \, x^{6} + 20 \, x^{5} + 20 \, x^{4} + 15 \, x^{3} - 15 \, x^{2} - \sqrt{5} {\left(x^{11} + 13 \, x^{10} - 67 \, x^{9} - 44 \, x^{8} + 284 \, x^{7} + 14 \, x^{6} - 284 \, x^{5} - 44 \, x^{4} + 67 \, x^{3} + 13 \, x^{2} - x\right)} - 5 \, x\right)} - 100 \, \sqrt{5} {\left(x^{11} - 3 \, x^{10} - 3 \, x^{9} + 4 \, x^{8} - 4 \, x^{7} + 14 \, x^{6} + 4 \, x^{5} + 4 \, x^{4} + 3 \, x^{3} - 3 \, x^{2} - x\right)} - 100 \, x}{200 \, {\left(x^{11} - 9 \, x^{10} - 45 \, x^{9} + 180 \, x^{8} + 18 \, x^{7} - 326 \, x^{6} - 18 \, x^{5} + 180 \, x^{4} + 45 \, x^{3} - 9 \, x^{2} - x\right)}}\right) - \frac{1}{10} \cdot 5^{\frac{1}{4}} \sqrt{2} \sqrt{\sqrt{5} + 5} \arctan\left(\frac{100 \, x^{11} + 1300 \, x^{10} - 6700 \, x^{9} - 4400 \, x^{8} + 28400 \, x^{7} + 1400 \, x^{6} - 28400 \, x^{5} - 4400 \, x^{4} + 6700 \, x^{3} + 1300 \, x^{2} - 5 \, \sqrt{x^{3} - x^{2} - x} {\left(5^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{10} - 4 \, x^{9} - 17 \, x^{8} + 56 \, x^{7} + 78 \, x^{6} - 136 \, x^{5} - 78 \, x^{4} + 56 \, x^{3} + 17 \, x^{2} - 4 \, x - 1\right)} - \sqrt{2} {\left(x^{10} + 8 \, x^{9} - 57 \, x^{8} - 24 \, x^{7} + 294 \, x^{6} + 64 \, x^{5} - 294 \, x^{4} - 24 \, x^{3} + 57 \, x^{2} + 8 \, x - 1\right)}\right)} + 4 \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(3 \, x^{9} + 7 \, x^{8} + 14 \, x^{7} - 81 \, x^{6} - 10 \, x^{5} + 81 \, x^{4} + 14 \, x^{3} - 7 \, x^{2} + 3 \, x\right)} - 5 \, \sqrt{2} {\left(x^{9} + 9 \, x^{8} - 18 \, x^{7} - 15 \, x^{6} + 26 \, x^{5} + 15 \, x^{4} - 18 \, x^{3} - 9 \, x^{2} + x\right)}\right)}\right)} \sqrt{\sqrt{5} + 5} - \sqrt{5} {\left(240 \, x^{10} + 160 \, x^{9} - 1680 \, x^{8} - 480 \, x^{7} + 3200 \, x^{6} + 480 \, x^{5} - 1680 \, x^{4} - 160 \, x^{3} + 240 \, x^{2} - \sqrt{x^{3} - x^{2} - x} {\left(5^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{10} - 6 \, x^{9} - 25 \, x^{8} + 120 \, x^{7} - 58 \, x^{6} - 196 \, x^{5} + 58 \, x^{4} + 120 \, x^{3} + 25 \, x^{2} - 6 \, x - 1\right)} - \sqrt{2} {\left(x^{10} - 2 \, x^{9} - 17 \, x^{8} + 216 \, x^{7} - 306 \, x^{6} - 396 \, x^{5} + 306 \, x^{4} + 216 \, x^{3} + 17 \, x^{2} - 2 \, x - 1\right)}\right)} + 4 \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(3 \, x^{9} - 3 \, x^{8} - 56 \, x^{7} + 69 \, x^{6} + 90 \, x^{5} - 69 \, x^{4} - 56 \, x^{3} + 3 \, x^{2} + 3 \, x\right)} - 5 \, \sqrt{2} {\left(x^{9} + 3 \, x^{8} - 28 \, x^{7} + 11 \, x^{6} + 54 \, x^{5} - 11 \, x^{4} - 28 \, x^{3} - 3 \, x^{2} + x\right)}\right)}\right)} \sqrt{\sqrt{5} + 5} + 4 \, \sqrt{5} {\left(5 \, x^{11} - 25 \, x^{10} - 105 \, x^{9} + 440 \, x^{8} + 50 \, x^{7} - 830 \, x^{6} - 50 \, x^{5} + 440 \, x^{4} + 105 \, x^{3} - 25 \, x^{2} - \sqrt{5} {\left(x^{11} + 3 \, x^{10} - 37 \, x^{9} + 96 \, x^{8} - 6 \, x^{7} - 166 \, x^{6} + 6 \, x^{5} + 96 \, x^{4} + 37 \, x^{3} + 3 \, x^{2} - x\right)} - 5 \, x\right)} - 80 \, \sqrt{5} {\left(x^{10} + 6 \, x^{9} - 23 \, x^{8} - 2 \, x^{7} + 40 \, x^{6} + 2 \, x^{5} - 23 \, x^{4} - 6 \, x^{3} + x^{2}\right)}\right)} \sqrt{\frac{5 \, x^{4} - 20 \, x^{3} - 5^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(\sqrt{5} \sqrt{2} {\left(x^{2} - 6 \, x - 1\right)} - 5 \, \sqrt{2} {\left(x^{2} - 2 \, x - 1\right)}\right)} \sqrt{\sqrt{5} + 5} + 30 \, x^{2} + 20 \, \sqrt{5} {\left(x^{3} - x^{2} - x\right)} + 20 \, x + 5}{x^{4} + 2 \, x^{2} + 1}} + 20 \, \sqrt{5} {\left(5 \, x^{11} - 15 \, x^{10} - 15 \, x^{9} + 20 \, x^{8} - 20 \, x^{7} + 70 \, x^{6} + 20 \, x^{5} + 20 \, x^{4} + 15 \, x^{3} - 15 \, x^{2} - \sqrt{5} {\left(x^{11} + 13 \, x^{10} - 67 \, x^{9} - 44 \, x^{8} + 284 \, x^{7} + 14 \, x^{6} - 284 \, x^{5} - 44 \, x^{4} + 67 \, x^{3} + 13 \, x^{2} - x\right)} - 5 \, x\right)} - 100 \, \sqrt{5} {\left(x^{11} - 3 \, x^{10} - 3 \, x^{9} + 4 \, x^{8} - 4 \, x^{7} + 14 \, x^{6} + 4 \, x^{5} + 4 \, x^{4} + 3 \, x^{3} - 3 \, x^{2} - x\right)} - 100 \, x}{200 \, {\left(x^{11} - 9 \, x^{10} - 45 \, x^{9} + 180 \, x^{8} + 18 \, x^{7} - 326 \, x^{6} - 18 \, x^{5} + 180 \, x^{4} + 45 \, x^{3} - 9 \, x^{2} - x\right)}}\right)"," ",0,"1/80*5^(1/4)*(sqrt(5)*sqrt(2) - sqrt(2))*sqrt(sqrt(5) + 5)*log(5*(5*x^4 - 20*x^3 + 5^(1/4)*sqrt(x^3 - x^2 - x)*(sqrt(5)*sqrt(2)*(x^2 - 6*x - 1) - 5*sqrt(2)*(x^2 - 2*x - 1))*sqrt(sqrt(5) + 5) + 30*x^2 + 20*sqrt(5)*(x^3 - x^2 - x) + 20*x + 5)/(x^4 + 2*x^2 + 1)) - 1/80*5^(1/4)*(sqrt(5)*sqrt(2) - sqrt(2))*sqrt(sqrt(5) + 5)*log(5*(5*x^4 - 20*x^3 - 5^(1/4)*sqrt(x^3 - x^2 - x)*(sqrt(5)*sqrt(2)*(x^2 - 6*x - 1) - 5*sqrt(2)*(x^2 - 2*x - 1))*sqrt(sqrt(5) + 5) + 30*x^2 + 20*sqrt(5)*(x^3 - x^2 - x) + 20*x + 5)/(x^4 + 2*x^2 + 1)) - 1/10*5^(1/4)*sqrt(2)*sqrt(sqrt(5) + 5)*arctan(-1/200*(100*x^11 + 1300*x^10 - 6700*x^9 - 4400*x^8 + 28400*x^7 + 1400*x^6 - 28400*x^5 - 4400*x^4 + 6700*x^3 + 1300*x^2 + 5*sqrt(x^3 - x^2 - x)*(5^(3/4)*(sqrt(5)*sqrt(2)*(x^10 - 4*x^9 - 17*x^8 + 56*x^7 + 78*x^6 - 136*x^5 - 78*x^4 + 56*x^3 + 17*x^2 - 4*x - 1) - sqrt(2)*(x^10 + 8*x^9 - 57*x^8 - 24*x^7 + 294*x^6 + 64*x^5 - 294*x^4 - 24*x^3 + 57*x^2 + 8*x - 1)) + 4*5^(1/4)*(sqrt(5)*sqrt(2)*(3*x^9 + 7*x^8 + 14*x^7 - 81*x^6 - 10*x^5 + 81*x^4 + 14*x^3 - 7*x^2 + 3*x) - 5*sqrt(2)*(x^9 + 9*x^8 - 18*x^7 - 15*x^6 + 26*x^5 + 15*x^4 - 18*x^3 - 9*x^2 + x)))*sqrt(sqrt(5) + 5) - sqrt(5)*(240*x^10 + 160*x^9 - 1680*x^8 - 480*x^7 + 3200*x^6 + 480*x^5 - 1680*x^4 - 160*x^3 + 240*x^2 + sqrt(x^3 - x^2 - x)*(5^(3/4)*(sqrt(5)*sqrt(2)*(x^10 - 6*x^9 - 25*x^8 + 120*x^7 - 58*x^6 - 196*x^5 + 58*x^4 + 120*x^3 + 25*x^2 - 6*x - 1) - sqrt(2)*(x^10 - 2*x^9 - 17*x^8 + 216*x^7 - 306*x^6 - 396*x^5 + 306*x^4 + 216*x^3 + 17*x^2 - 2*x - 1)) + 4*5^(1/4)*(sqrt(5)*sqrt(2)*(3*x^9 - 3*x^8 - 56*x^7 + 69*x^6 + 90*x^5 - 69*x^4 - 56*x^3 + 3*x^2 + 3*x) - 5*sqrt(2)*(x^9 + 3*x^8 - 28*x^7 + 11*x^6 + 54*x^5 - 11*x^4 - 28*x^3 - 3*x^2 + x)))*sqrt(sqrt(5) + 5) + 4*sqrt(5)*(5*x^11 - 25*x^10 - 105*x^9 + 440*x^8 + 50*x^7 - 830*x^6 - 50*x^5 + 440*x^4 + 105*x^3 - 25*x^2 - sqrt(5)*(x^11 + 3*x^10 - 37*x^9 + 96*x^8 - 6*x^7 - 166*x^6 + 6*x^5 + 96*x^4 + 37*x^3 + 3*x^2 - x) - 5*x) - 80*sqrt(5)*(x^10 + 6*x^9 - 23*x^8 - 2*x^7 + 40*x^6 + 2*x^5 - 23*x^4 - 6*x^3 + x^2))*sqrt((5*x^4 - 20*x^3 + 5^(1/4)*sqrt(x^3 - x^2 - x)*(sqrt(5)*sqrt(2)*(x^2 - 6*x - 1) - 5*sqrt(2)*(x^2 - 2*x - 1))*sqrt(sqrt(5) + 5) + 30*x^2 + 20*sqrt(5)*(x^3 - x^2 - x) + 20*x + 5)/(x^4 + 2*x^2 + 1)) + 20*sqrt(5)*(5*x^11 - 15*x^10 - 15*x^9 + 20*x^8 - 20*x^7 + 70*x^6 + 20*x^5 + 20*x^4 + 15*x^3 - 15*x^2 - sqrt(5)*(x^11 + 13*x^10 - 67*x^9 - 44*x^8 + 284*x^7 + 14*x^6 - 284*x^5 - 44*x^4 + 67*x^3 + 13*x^2 - x) - 5*x) - 100*sqrt(5)*(x^11 - 3*x^10 - 3*x^9 + 4*x^8 - 4*x^7 + 14*x^6 + 4*x^5 + 4*x^4 + 3*x^3 - 3*x^2 - x) - 100*x)/(x^11 - 9*x^10 - 45*x^9 + 180*x^8 + 18*x^7 - 326*x^6 - 18*x^5 + 180*x^4 + 45*x^3 - 9*x^2 - x)) - 1/10*5^(1/4)*sqrt(2)*sqrt(sqrt(5) + 5)*arctan(1/200*(100*x^11 + 1300*x^10 - 6700*x^9 - 4400*x^8 + 28400*x^7 + 1400*x^6 - 28400*x^5 - 4400*x^4 + 6700*x^3 + 1300*x^2 - 5*sqrt(x^3 - x^2 - x)*(5^(3/4)*(sqrt(5)*sqrt(2)*(x^10 - 4*x^9 - 17*x^8 + 56*x^7 + 78*x^6 - 136*x^5 - 78*x^4 + 56*x^3 + 17*x^2 - 4*x - 1) - sqrt(2)*(x^10 + 8*x^9 - 57*x^8 - 24*x^7 + 294*x^6 + 64*x^5 - 294*x^4 - 24*x^3 + 57*x^2 + 8*x - 1)) + 4*5^(1/4)*(sqrt(5)*sqrt(2)*(3*x^9 + 7*x^8 + 14*x^7 - 81*x^6 - 10*x^5 + 81*x^4 + 14*x^3 - 7*x^2 + 3*x) - 5*sqrt(2)*(x^9 + 9*x^8 - 18*x^7 - 15*x^6 + 26*x^5 + 15*x^4 - 18*x^3 - 9*x^2 + x)))*sqrt(sqrt(5) + 5) - sqrt(5)*(240*x^10 + 160*x^9 - 1680*x^8 - 480*x^7 + 3200*x^6 + 480*x^5 - 1680*x^4 - 160*x^3 + 240*x^2 - sqrt(x^3 - x^2 - x)*(5^(3/4)*(sqrt(5)*sqrt(2)*(x^10 - 6*x^9 - 25*x^8 + 120*x^7 - 58*x^6 - 196*x^5 + 58*x^4 + 120*x^3 + 25*x^2 - 6*x - 1) - sqrt(2)*(x^10 - 2*x^9 - 17*x^8 + 216*x^7 - 306*x^6 - 396*x^5 + 306*x^4 + 216*x^3 + 17*x^2 - 2*x - 1)) + 4*5^(1/4)*(sqrt(5)*sqrt(2)*(3*x^9 - 3*x^8 - 56*x^7 + 69*x^6 + 90*x^5 - 69*x^4 - 56*x^3 + 3*x^2 + 3*x) - 5*sqrt(2)*(x^9 + 3*x^8 - 28*x^7 + 11*x^6 + 54*x^5 - 11*x^4 - 28*x^3 - 3*x^2 + x)))*sqrt(sqrt(5) + 5) + 4*sqrt(5)*(5*x^11 - 25*x^10 - 105*x^9 + 440*x^8 + 50*x^7 - 830*x^6 - 50*x^5 + 440*x^4 + 105*x^3 - 25*x^2 - sqrt(5)*(x^11 + 3*x^10 - 37*x^9 + 96*x^8 - 6*x^7 - 166*x^6 + 6*x^5 + 96*x^4 + 37*x^3 + 3*x^2 - x) - 5*x) - 80*sqrt(5)*(x^10 + 6*x^9 - 23*x^8 - 2*x^7 + 40*x^6 + 2*x^5 - 23*x^4 - 6*x^3 + x^2))*sqrt((5*x^4 - 20*x^3 - 5^(1/4)*sqrt(x^3 - x^2 - x)*(sqrt(5)*sqrt(2)*(x^2 - 6*x - 1) - 5*sqrt(2)*(x^2 - 2*x - 1))*sqrt(sqrt(5) + 5) + 30*x^2 + 20*sqrt(5)*(x^3 - x^2 - x) + 20*x + 5)/(x^4 + 2*x^2 + 1)) + 20*sqrt(5)*(5*x^11 - 15*x^10 - 15*x^9 + 20*x^8 - 20*x^7 + 70*x^6 + 20*x^5 + 20*x^4 + 15*x^3 - 15*x^2 - sqrt(5)*(x^11 + 13*x^10 - 67*x^9 - 44*x^8 + 284*x^7 + 14*x^6 - 284*x^5 - 44*x^4 + 67*x^3 + 13*x^2 - x) - 5*x) - 100*sqrt(5)*(x^11 - 3*x^10 - 3*x^9 + 4*x^8 - 4*x^7 + 14*x^6 + 4*x^5 + 4*x^4 + 3*x^3 - 3*x^2 - x) - 100*x)/(x^11 - 9*x^10 - 45*x^9 + 180*x^8 + 18*x^7 - 326*x^6 - 18*x^5 + 180*x^4 + 45*x^3 - 9*x^2 - x))","B",0
1347,1,93,0,0.465837," ","integrate((x^3+x^2)^(1/3)/x,x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) + {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} - \frac{1}{3} \, \log\left(-\frac{x - {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{6} \, \log\left(\frac{x^{2} + {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + x^2)^(1/3))/x) + (x^3 + x^2)^(1/3) - 1/3*log(-(x - (x^3 + x^2)^(1/3))/x) + 1/6*log((x^2 + (x^3 + x^2)^(1/3)*x + (x^3 + x^2)^(2/3))/x^2)","A",0
1348,1,124,0,0.880442," ","integrate((x^3+1)^(2/3)*(x^3+2)/x^6/(2*x^3+1),x, algorithm=""fricas"")","-\frac{10 \, \sqrt{3} x^{5} \arctan\left(\frac{4 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} + 2 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(x^{3} + 1\right)}}{7 \, x^{3} - 1}\right) - 5 \, x^{5} \log\left(\frac{2 \, x^{3} + 3 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + 1}{2 \, x^{3} + 1}\right) - {\left(11 \, x^{3} - 4\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{10 \, x^{5}}"," ",0,"-1/10*(10*sqrt(3)*x^5*arctan((4*sqrt(3)*(x^3 + 1)^(1/3)*x^2 + 2*sqrt(3)*(x^3 + 1)^(2/3)*x + sqrt(3)*(x^3 + 1))/(7*x^3 - 1)) - 5*x^5*log((2*x^3 + 3*(x^3 + 1)^(1/3)*x^2 + 3*(x^3 + 1)^(2/3)*x + 1)/(2*x^3 + 1)) - (11*x^3 - 4)*(x^3 + 1)^(2/3))/x^5","A",0
1349,1,84,0,0.460408," ","integrate((x^4-3)*(x^4+1)^(1/3)/x^9,x, algorithm=""fricas"")","-\frac{4 \, \sqrt{3} x^{8} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{4} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) + 2 \, x^{8} \log\left({\left(x^{4} + 1\right)}^{\frac{2}{3}} + {\left(x^{4} + 1\right)}^{\frac{1}{3}} + 1\right) - 4 \, x^{8} \log\left({\left(x^{4} + 1\right)}^{\frac{1}{3}} - 1\right) + 3 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}} {\left(x^{4} - 3\right)}}{24 \, x^{8}}"," ",0,"-1/24*(4*sqrt(3)*x^8*arctan(2/3*sqrt(3)*(x^4 + 1)^(1/3) + 1/3*sqrt(3)) + 2*x^8*log((x^4 + 1)^(2/3) + (x^4 + 1)^(1/3) + 1) - 4*x^8*log((x^4 + 1)^(1/3) - 1) + 3*(x^4 + 1)^(1/3)*(x^4 - 3))/x^8","A",0
1350,-1,0,0,0.000000," ","integrate((a*x^3-b)/x^3/(a*x^4+b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1351,-1,0,0,0.000000," ","integrate((a*x^3+b)/x^3/(a*x^4+b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1352,1,86,0,0.978388," ","integrate(1/x^13/(x^6+1)^(1/3),x, algorithm=""fricas"")","\frac{4 \, \sqrt{3} x^{12} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{6} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) - 2 \, x^{12} \log\left({\left(x^{6} + 1\right)}^{\frac{2}{3}} + {\left(x^{6} + 1\right)}^{\frac{1}{3}} + 1\right) + 4 \, x^{12} \log\left({\left(x^{6} + 1\right)}^{\frac{1}{3}} - 1\right) + 3 \, {\left(4 \, x^{6} - 3\right)} {\left(x^{6} + 1\right)}^{\frac{2}{3}}}{108 \, x^{12}}"," ",0,"1/108*(4*sqrt(3)*x^12*arctan(2/3*sqrt(3)*(x^6 + 1)^(1/3) + 1/3*sqrt(3)) - 2*x^12*log((x^6 + 1)^(2/3) + (x^6 + 1)^(1/3) + 1) + 4*x^12*log((x^6 + 1)^(1/3) - 1) + 3*(4*x^6 - 3)*(x^6 + 1)^(2/3))/x^12","A",0
1353,1,121,0,3.053630," ","integrate((5*x^8-3)/(x^8+1)/(x^8-x^3+1)^(1/3),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{4 \, \sqrt{3} {\left(x^{8} - x^{3} + 1\right)}^{\frac{1}{3}} x^{2} + 2 \, \sqrt{3} {\left(x^{8} - x^{3} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(x^{8} - x^{3} + 1\right)}}{x^{8} - 9 \, x^{3} + 1}\right) - \frac{1}{2} \, \log\left(\frac{x^{8} + 3 \, {\left(x^{8} - x^{3} + 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{8} - x^{3} + 1\right)}^{\frac{2}{3}} x + 1}{x^{8} + 1}\right)"," ",0,"-sqrt(3)*arctan((4*sqrt(3)*(x^8 - x^3 + 1)^(1/3)*x^2 + 2*sqrt(3)*(x^8 - x^3 + 1)^(2/3)*x + sqrt(3)*(x^8 - x^3 + 1))/(x^8 - 9*x^3 + 1)) - 1/2*log((x^8 + 3*(x^8 - x^3 + 1)^(1/3)*x^2 + 3*(x^8 - x^3 + 1)^(2/3)*x + 1)/(x^8 + 1))","A",0
1354,1,82,0,1.929193," ","integrate((x+(1+x)^(1/2))^(1/2)/(1+(1+x)^(1/2)),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} - 3\right)} + 2 \, \arctan\left(\frac{2 \, \sqrt{x + \sqrt{x + 1}} {\left(\sqrt{x + 1} - 3\right)}}{x - 8}\right) + \frac{1}{8} \, \log\left(4 \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} + 1\right)} - 8 \, x - 8 \, \sqrt{x + 1} - 5\right)"," ",0,"1/2*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) - 3) + 2*arctan(2*sqrt(x + sqrt(x + 1))*(sqrt(x + 1) - 3)/(x - 8)) + 1/8*log(4*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) + 1) - 8*x - 8*sqrt(x + 1) - 5)","A",0
1355,1,64,0,0.445432," ","integrate((x+(x^2+1)^(1/2))/(1+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=""fricas"")","\frac{1}{3} \, {\left(x + \sqrt{x^{2} + 1} + 3\right)} \sqrt{x + \sqrt{x^{2} + 1}} - \frac{1}{2} \, x - \frac{1}{2} \, \sqrt{x^{2} + 1} - 2 \, \log\left(\sqrt{x + \sqrt{x^{2} + 1}} + 1\right) + \log\left(\sqrt{x + \sqrt{x^{2} + 1}}\right)"," ",0,"1/3*(x + sqrt(x^2 + 1) + 3)*sqrt(x + sqrt(x^2 + 1)) - 1/2*x - 1/2*sqrt(x^2 + 1) - 2*log(sqrt(x + sqrt(x^2 + 1)) + 1) + log(sqrt(x + sqrt(x^2 + 1)))","A",0
1356,1,207,0,0.453308," ","integrate(x^2/(a*x^2-2*b)/(a*x^2-b)^(3/4),x, algorithm=""fricas"")","2 \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a^{6} b}\right)^{\frac{1}{4}} \arctan\left(\frac{4 \, {\left(\sqrt{\frac{1}{2}} \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{4} b x \sqrt{\frac{a^{4} x^{2} \sqrt{\frac{1}{a^{6} b}} + 2 \, \sqrt{a x^{2} - b}}{x^{2}}} \left(\frac{1}{a^{6} b}\right)^{\frac{3}{4}} - \left(\frac{1}{4}\right)^{\frac{3}{4}} {\left(a x^{2} - b\right)}^{\frac{1}{4}} a^{4} b \left(\frac{1}{a^{6} b}\right)^{\frac{3}{4}}\right)}}{x}\right) - \frac{1}{2} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a^{6} b}\right)^{\frac{1}{4}} \log\left(\frac{\left(\frac{1}{4}\right)^{\frac{1}{4}} a^{2} x \left(\frac{1}{a^{6} b}\right)^{\frac{1}{4}} + {\left(a x^{2} - b\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a^{6} b}\right)^{\frac{1}{4}} \log\left(-\frac{\left(\frac{1}{4}\right)^{\frac{1}{4}} a^{2} x \left(\frac{1}{a^{6} b}\right)^{\frac{1}{4}} - {\left(a x^{2} - b\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"2*(1/4)^(1/4)*(1/(a^6*b))^(1/4)*arctan(4*(sqrt(1/2)*(1/4)^(3/4)*a^4*b*x*sqrt((a^4*x^2*sqrt(1/(a^6*b)) + 2*sqrt(a*x^2 - b))/x^2)*(1/(a^6*b))^(3/4) - (1/4)^(3/4)*(a*x^2 - b)^(1/4)*a^4*b*(1/(a^6*b))^(3/4))/x) - 1/2*(1/4)^(1/4)*(1/(a^6*b))^(1/4)*log(((1/4)^(1/4)*a^2*x*(1/(a^6*b))^(1/4) + (a*x^2 - b)^(1/4))/x) + 1/2*(1/4)^(1/4)*(1/(a^6*b))^(1/4)*log(-((1/4)^(1/4)*a^2*x*(1/(a^6*b))^(1/4) - (a*x^2 - b)^(1/4))/x)","B",0
1357,-1,0,0,0.000000," ","integrate((-2*k-(-1+k)*(1+k)*x+2*k*x^2)*(k^2*x^2-2*k*x+1)/((-x^2+1)*(-k^2*x^2+1))^(3/4)/(1-d+(1+3*d)*k*x-(3*d*k^2+1)*x^2+k*(d*k^2-1)*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1358,1,150,0,0.639944," ","integrate((x^2-1)*(x^2+1)*(x^4+3*x^2+1)^(1/2)/x^2/(x^2+x+1)^2,x, algorithm=""fricas"")","\frac{3 \, \sqrt{2} {\left(x^{3} + x^{2} + x\right)} \log\left(\frac{3 \, x^{4} - 2 \, x^{3} + 2 \, \sqrt{2} \sqrt{x^{4} + 3 \, x^{2} + 1} {\left(x^{2} - x + 1\right)} + 9 \, x^{2} - 2 \, x + 3}{x^{4} + 2 \, x^{3} + 3 \, x^{2} + 2 \, x + 1}\right) + 8 \, {\left(x^{3} + x^{2} + x\right)} \log\left(-\frac{x^{2} - \sqrt{x^{4} + 3 \, x^{2} + 1} + 1}{x}\right) + 4 \, \sqrt{x^{4} + 3 \, x^{2} + 1} {\left(x^{2} + 2 \, x + 1\right)}}{4 \, {\left(x^{3} + x^{2} + x\right)}}"," ",0,"1/4*(3*sqrt(2)*(x^3 + x^2 + x)*log((3*x^4 - 2*x^3 + 2*sqrt(2)*sqrt(x^4 + 3*x^2 + 1)*(x^2 - x + 1) + 9*x^2 - 2*x + 3)/(x^4 + 2*x^3 + 3*x^2 + 2*x + 1)) + 8*(x^3 + x^2 + x)*log(-(x^2 - sqrt(x^4 + 3*x^2 + 1) + 1)/x) + 4*sqrt(x^4 + 3*x^2 + 1)*(x^2 + 2*x + 1))/(x^3 + x^2 + x)","A",0
1359,1,91,0,0.687686," ","integrate((x^2+2)*(2*x^2+x-4)*(2*x^4-7*x^2+8)^(1/2)/x^4,x, algorithm=""fricas"")","\frac{3 \, \sqrt{2} x^{3} \log\left(\frac{4 \, x^{4} + 2 \, \sqrt{2} \sqrt{2 \, x^{4} - 7 \, x^{2} + 8} {\left(x^{2} - 2\right)} - 15 \, x^{2} + 16}{x^{2}}\right) + 4 \, {\left(4 \, x^{4} + 3 \, x^{3} - 14 \, x^{2} - 6 \, x + 16\right)} \sqrt{2 \, x^{4} - 7 \, x^{2} + 8}}{24 \, x^{3}}"," ",0,"1/24*(3*sqrt(2)*x^3*log((4*x^4 + 2*sqrt(2)*sqrt(2*x^4 - 7*x^2 + 8)*(x^2 - 2) - 15*x^2 + 16)/x^2) + 4*(4*x^4 + 3*x^3 - 14*x^2 - 6*x + 16)*sqrt(2*x^4 - 7*x^2 + 8))/x^3","A",0
1360,1,228,0,0.670571," ","integrate(x^4*(a*x^4-b)^(3/4),x, algorithm=""fricas"")","-\frac{12 \, \left(\frac{b^{8}}{a^{5}}\right)^{\frac{1}{4}} a \arctan\left(-\frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}} \left(\frac{b^{8}}{a^{5}}\right)^{\frac{1}{4}} a b^{6} - \left(\frac{b^{8}}{a^{5}}\right)^{\frac{1}{4}} a x \sqrt{\frac{\sqrt{\frac{b^{8}}{a^{5}}} a^{3} b^{8} x^{2} + \sqrt{a x^{4} - b} b^{12}}{x^{2}}}}{b^{8} x}\right) + 3 \, \left(\frac{b^{8}}{a^{5}}\right)^{\frac{1}{4}} a \log\left(\frac{27 \, {\left({\left(a x^{4} - b\right)}^{\frac{1}{4}} b^{6} + \left(\frac{b^{8}}{a^{5}}\right)^{\frac{3}{4}} a^{4} x\right)}}{x}\right) - 3 \, \left(\frac{b^{8}}{a^{5}}\right)^{\frac{1}{4}} a \log\left(\frac{27 \, {\left({\left(a x^{4} - b\right)}^{\frac{1}{4}} b^{6} - \left(\frac{b^{8}}{a^{5}}\right)^{\frac{3}{4}} a^{4} x\right)}}{x}\right) - 4 \, {\left(4 \, a x^{5} - 3 \, b x\right)} {\left(a x^{4} - b\right)}^{\frac{3}{4}}}{128 \, a}"," ",0,"-1/128*(12*(b^8/a^5)^(1/4)*a*arctan(-((a*x^4 - b)^(1/4)*(b^8/a^5)^(1/4)*a*b^6 - (b^8/a^5)^(1/4)*a*x*sqrt((sqrt(b^8/a^5)*a^3*b^8*x^2 + sqrt(a*x^4 - b)*b^12)/x^2))/(b^8*x)) + 3*(b^8/a^5)^(1/4)*a*log(27*((a*x^4 - b)^(1/4)*b^6 + (b^8/a^5)^(3/4)*a^4*x)/x) - 3*(b^8/a^5)^(1/4)*a*log(27*((a*x^4 - b)^(1/4)*b^6 - (b^8/a^5)^(3/4)*a^4*x)/x) - 4*(4*a*x^5 - 3*b*x)*(a*x^4 - b)^(3/4))/a","B",0
1361,-1,0,0,0.000000," ","integrate((a*x^2-2*b)*(a*x^4+b*x^2)^(1/4)/x^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1362,-1,0,0,0.000000," ","integrate((a*x^2+2*b)*(a*x^4+b*x^2)^(1/4)/x^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1363,-1,0,0,0.000000," ","integrate(((-3*k^2+1)*x+2*k^2*x^3)/((-x^2+1)*(-k^2*x^2+1))^(1/4)/(-1+d+(3*k^2-d)*x^2-3*k^4*x^4+k^6*x^6),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1364,-1,0,0,0.000000," ","integrate((a*x^4-b)/(a*x^4+b)^(1/4)/(x^8-a*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1365,-1,0,0,0.000000," ","integrate((a*x^4-b)/(a*x^4+b)^(1/4)/(x^8-a*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1366,-1,0,0,0.000000," ","integrate((x^5+4)*(x^10+x^9+x^8-2*x^5-x^4+1)/x^2/(x^5-1)^(3/4)/(x^10-x^9-x^8-2*x^5+x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1367,-1,0,0,0.000000," ","integrate((x^5+4)*(x^10+x^9+x^8-2*x^5-x^4+1)/x^2/(x^5-1)^(3/4)/(x^10-x^9-x^8-2*x^5+x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1368,1,229,0,3.564775," ","integrate(1/(a*x^2+(a^2*x^4+b)^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{\frac{\sqrt{2} b \log\left(4 \, a^{2} x^{4} + 4 \, \sqrt{a^{2} x^{4} + b} a x^{2} + 2 \, {\left(\sqrt{2} a^{\frac{3}{2}} x^{3} + \sqrt{2} \sqrt{a^{2} x^{4} + b} \sqrt{a} x\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} + b\right)}{\sqrt{a}} - 4 \, {\left(a x^{3} - \sqrt{a^{2} x^{4} + b} x\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{8 \, b}, -\frac{\sqrt{2} b \sqrt{-\frac{1}{a}} \arctan\left(\frac{\sqrt{2} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} \sqrt{-\frac{1}{a}}}{2 \, x}\right) + 2 \, {\left(a x^{3} - \sqrt{a^{2} x^{4} + b} x\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{4 \, b}\right]"," ",0,"[1/8*(sqrt(2)*b*log(4*a^2*x^4 + 4*sqrt(a^2*x^4 + b)*a*x^2 + 2*(sqrt(2)*a^(3/2)*x^3 + sqrt(2)*sqrt(a^2*x^4 + b)*sqrt(a)*x)*sqrt(a*x^2 + sqrt(a^2*x^4 + b)) + b)/sqrt(a) - 4*(a*x^3 - sqrt(a^2*x^4 + b)*x)*sqrt(a*x^2 + sqrt(a^2*x^4 + b)))/b, -1/4*(sqrt(2)*b*sqrt(-1/a)*arctan(1/2*sqrt(2)*sqrt(a*x^2 + sqrt(a^2*x^4 + b))*sqrt(-1/a)/x) + 2*(a*x^3 - sqrt(a^2*x^4 + b)*x)*sqrt(a*x^2 + sqrt(a^2*x^4 + b)))/b]","A",0
1369,1,299,0,0.887517," ","integrate((2*a*x^2-3*b)*(a^2*x^2+b^2)^(3/4)/x,x, algorithm=""fricas"")","\left[-\frac{42 \, a b^{\frac{5}{2}} \arctan\left(\frac{{\left(a^{2} x^{2} + b^{2}\right)}^{\frac{1}{4}}}{\sqrt{b}}\right) - 21 \, a b^{\frac{5}{2}} \log\left(\frac{a^{2} x^{2} + 2 \, b^{2} + 2 \, {\left(a^{2} x^{2} + b^{2}\right)}^{\frac{1}{4}} b^{\frac{3}{2}} + 2 \, \sqrt{a^{2} x^{2} + b^{2}} b + 2 \, {\left(a^{2} x^{2} + b^{2}\right)}^{\frac{3}{4}} \sqrt{b}}{x^{2}}\right) - 4 \, {\left(2 \, a^{2} x^{2} - 7 \, a b + 2 \, b^{2}\right)} {\left(a^{2} x^{2} + b^{2}\right)}^{\frac{3}{4}}}{14 \, a}, -\frac{42 \, a \sqrt{-b} b^{2} \arctan\left(\frac{{\left(a^{2} x^{2} + b^{2}\right)}^{\frac{1}{4}} \sqrt{-b}}{b}\right) - 21 \, a \sqrt{-b} b^{2} \log\left(\frac{a^{2} x^{2} + 2 \, b^{2} + 2 \, {\left(a^{2} x^{2} + b^{2}\right)}^{\frac{1}{4}} \sqrt{-b} b - 2 \, \sqrt{a^{2} x^{2} + b^{2}} b - 2 \, {\left(a^{2} x^{2} + b^{2}\right)}^{\frac{3}{4}} \sqrt{-b}}{x^{2}}\right) - 4 \, {\left(2 \, a^{2} x^{2} - 7 \, a b + 2 \, b^{2}\right)} {\left(a^{2} x^{2} + b^{2}\right)}^{\frac{3}{4}}}{14 \, a}\right]"," ",0,"[-1/14*(42*a*b^(5/2)*arctan((a^2*x^2 + b^2)^(1/4)/sqrt(b)) - 21*a*b^(5/2)*log((a^2*x^2 + 2*b^2 + 2*(a^2*x^2 + b^2)^(1/4)*b^(3/2) + 2*sqrt(a^2*x^2 + b^2)*b + 2*(a^2*x^2 + b^2)^(3/4)*sqrt(b))/x^2) - 4*(2*a^2*x^2 - 7*a*b + 2*b^2)*(a^2*x^2 + b^2)^(3/4))/a, -1/14*(42*a*sqrt(-b)*b^2*arctan((a^2*x^2 + b^2)^(1/4)*sqrt(-b)/b) - 21*a*sqrt(-b)*b^2*log((a^2*x^2 + 2*b^2 + 2*(a^2*x^2 + b^2)^(1/4)*sqrt(-b)*b - 2*sqrt(a^2*x^2 + b^2)*b - 2*(a^2*x^2 + b^2)^(3/4)*sqrt(-b))/x^2) - 4*(2*a^2*x^2 - 7*a*b + 2*b^2)*(a^2*x^2 + b^2)^(3/4))/a]","A",0
1370,1,233,0,1.037289," ","integrate((-1+x)/(x^2-2*x-2)/(x^3-1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{2 \, \sqrt{3} + 3} \arctan\left(\frac{\sqrt{x^{3} - 1} \sqrt{2 \, \sqrt{3} + 3} {\left(\sqrt{3} - 2\right)}}{x^{2} + x + 1}\right) - \frac{1}{24} \, \sqrt{2 \, \sqrt{3} - 3} \log\left(\frac{x^{4} + 2 \, x^{3} + 6 \, x^{2} + 2 \, \sqrt{x^{3} - 1} {\left(2 \, x^{2} + \sqrt{3} {\left(x^{2} + 2 \, x\right)} + 2 \, x + 2\right)} \sqrt{2 \, \sqrt{3} - 3} + 4 \, \sqrt{3} {\left(x^{3} - 1\right)} - 4 \, x + 4}{x^{4} - 4 \, x^{3} + 8 \, x + 4}\right) + \frac{1}{24} \, \sqrt{2 \, \sqrt{3} - 3} \log\left(\frac{x^{4} + 2 \, x^{3} + 6 \, x^{2} - 2 \, \sqrt{x^{3} - 1} {\left(2 \, x^{2} + \sqrt{3} {\left(x^{2} + 2 \, x\right)} + 2 \, x + 2\right)} \sqrt{2 \, \sqrt{3} - 3} + 4 \, \sqrt{3} {\left(x^{3} - 1\right)} - 4 \, x + 4}{x^{4} - 4 \, x^{3} + 8 \, x + 4}\right)"," ",0,"-1/6*sqrt(2*sqrt(3) + 3)*arctan(sqrt(x^3 - 1)*sqrt(2*sqrt(3) + 3)*(sqrt(3) - 2)/(x^2 + x + 1)) - 1/24*sqrt(2*sqrt(3) - 3)*log((x^4 + 2*x^3 + 6*x^2 + 2*sqrt(x^3 - 1)*(2*x^2 + sqrt(3)*(x^2 + 2*x) + 2*x + 2)*sqrt(2*sqrt(3) - 3) + 4*sqrt(3)*(x^3 - 1) - 4*x + 4)/(x^4 - 4*x^3 + 8*x + 4)) + 1/24*sqrt(2*sqrt(3) - 3)*log((x^4 + 2*x^3 + 6*x^2 - 2*sqrt(x^3 - 1)*(2*x^2 + sqrt(3)*(x^2 + 2*x) + 2*x + 2)*sqrt(2*sqrt(3) - 3) + 4*sqrt(3)*(x^3 - 1) - 4*x + 4)/(x^4 - 4*x^3 + 8*x + 4))","B",0
1371,1,246,0,1.377034," ","integrate((x^2-x+3)/(x^2-2*x-2)/(x^3-1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{14 \, \sqrt{3} + 15} \arctan\left(\frac{\sqrt{x^{3} - 1} \sqrt{14 \, \sqrt{3} + 15} {\left(3 \, \sqrt{3} - 4\right)}}{11 \, {\left(x^{2} + x + 1\right)}}\right) - \frac{1}{24} \, \sqrt{14 \, \sqrt{3} - 15} \log\left(\frac{11 \, x^{4} + 22 \, x^{3} + 66 \, x^{2} + 2 \, \sqrt{x^{3} - 1} {\left(4 \, x^{2} + \sqrt{3} {\left(3 \, x^{2} + 2 \, x + 4\right)} + 10 \, x - 2\right)} \sqrt{14 \, \sqrt{3} - 15} + 44 \, \sqrt{3} {\left(x^{3} - 1\right)} - 44 \, x + 44}{x^{4} - 4 \, x^{3} + 8 \, x + 4}\right) + \frac{1}{24} \, \sqrt{14 \, \sqrt{3} - 15} \log\left(\frac{11 \, x^{4} + 22 \, x^{3} + 66 \, x^{2} - 2 \, \sqrt{x^{3} - 1} {\left(4 \, x^{2} + \sqrt{3} {\left(3 \, x^{2} + 2 \, x + 4\right)} + 10 \, x - 2\right)} \sqrt{14 \, \sqrt{3} - 15} + 44 \, \sqrt{3} {\left(x^{3} - 1\right)} - 44 \, x + 44}{x^{4} - 4 \, x^{3} + 8 \, x + 4}\right)"," ",0,"-1/6*sqrt(14*sqrt(3) + 15)*arctan(1/11*sqrt(x^3 - 1)*sqrt(14*sqrt(3) + 15)*(3*sqrt(3) - 4)/(x^2 + x + 1)) - 1/24*sqrt(14*sqrt(3) - 15)*log((11*x^4 + 22*x^3 + 66*x^2 + 2*sqrt(x^3 - 1)*(4*x^2 + sqrt(3)*(3*x^2 + 2*x + 4) + 10*x - 2)*sqrt(14*sqrt(3) - 15) + 44*sqrt(3)*(x^3 - 1) - 44*x + 44)/(x^4 - 4*x^3 + 8*x + 4)) + 1/24*sqrt(14*sqrt(3) - 15)*log((11*x^4 + 22*x^3 + 66*x^2 - 2*sqrt(x^3 - 1)*(4*x^2 + sqrt(3)*(3*x^2 + 2*x + 4) + 10*x - 2)*sqrt(14*sqrt(3) - 15) + 44*sqrt(3)*(x^3 - 1) - 44*x + 44)/(x^4 - 4*x^3 + 8*x + 4))","B",0
1372,1,218,0,0.515570," ","integrate((x^2+2*x)/(x^2-2*x-2)/(x^3-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{2 \, \sqrt{3} - 3} \arctan\left(\frac{\sqrt{x^{3} - 1} \sqrt{2 \, \sqrt{3} - 3}}{x^{2} + x + 1}\right) - \frac{1}{12} \, \sqrt{2 \, \sqrt{3} + 3} \log\left(\frac{x^{4} + 2 \, x^{3} + 6 \, x^{2} + 2 \, \sqrt{x^{3} - 1} {\left(x^{2} + 2 \, \sqrt{3} {\left(x - 1\right)} - 2 \, x + 4\right)} \sqrt{2 \, \sqrt{3} + 3} + 4 \, \sqrt{3} {\left(x^{3} - 1\right)} - 4 \, x + 4}{x^{4} - 4 \, x^{3} + 8 \, x + 4}\right) + \frac{1}{12} \, \sqrt{2 \, \sqrt{3} + 3} \log\left(\frac{x^{4} + 2 \, x^{3} + 6 \, x^{2} - 2 \, \sqrt{x^{3} - 1} {\left(x^{2} + 2 \, \sqrt{3} {\left(x - 1\right)} - 2 \, x + 4\right)} \sqrt{2 \, \sqrt{3} + 3} + 4 \, \sqrt{3} {\left(x^{3} - 1\right)} - 4 \, x + 4}{x^{4} - 4 \, x^{3} + 8 \, x + 4}\right)"," ",0,"1/3*sqrt(2*sqrt(3) - 3)*arctan(sqrt(x^3 - 1)*sqrt(2*sqrt(3) - 3)/(x^2 + x + 1)) - 1/12*sqrt(2*sqrt(3) + 3)*log((x^4 + 2*x^3 + 6*x^2 + 2*sqrt(x^3 - 1)*(x^2 + 2*sqrt(3)*(x - 1) - 2*x + 4)*sqrt(2*sqrt(3) + 3) + 4*sqrt(3)*(x^3 - 1) - 4*x + 4)/(x^4 - 4*x^3 + 8*x + 4)) + 1/12*sqrt(2*sqrt(3) + 3)*log((x^4 + 2*x^3 + 6*x^2 - 2*sqrt(x^3 - 1)*(x^2 + 2*sqrt(3)*(x - 1) - 2*x + 4)*sqrt(2*sqrt(3) + 3) + 4*sqrt(3)*(x^3 - 1) - 4*x + 4)/(x^4 - 4*x^3 + 8*x + 4))","B",0
1373,1,88,0,0.434714," ","integrate((x^3-1)^(1/3)*(x^3+1)/x^7,x, algorithm=""fricas"")","\frac{8 \, \sqrt{3} x^{6} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) - 4 \, x^{6} \log\left({\left(x^{3} - 1\right)}^{\frac{2}{3}} - {\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) + 8 \, x^{6} \log\left({\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) - 3 \, {\left(5 \, x^{3} + 3\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{54 \, x^{6}}"," ",0,"1/54*(8*sqrt(3)*x^6*arctan(2/3*sqrt(3)*(x^3 - 1)^(1/3) - 1/3*sqrt(3)) - 4*x^6*log((x^3 - 1)^(2/3) - (x^3 - 1)^(1/3) + 1) + 8*x^6*log((x^3 - 1)^(1/3) + 1) - 3*(5*x^3 + 3)*(x^3 - 1)^(1/3))/x^6","A",0
1374,1,88,0,0.452769," ","integrate((x^3-1)^(1/3)*(2*x^3-1)/x^7,x, algorithm=""fricas"")","\frac{10 \, \sqrt{3} x^{6} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) - 5 \, x^{6} \log\left({\left(x^{3} - 1\right)}^{\frac{2}{3}} - {\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) + 10 \, x^{6} \log\left({\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) - 3 \, {\left(13 \, x^{3} - 3\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{54 \, x^{6}}"," ",0,"1/54*(10*sqrt(3)*x^6*arctan(2/3*sqrt(3)*(x^3 - 1)^(1/3) - 1/3*sqrt(3)) - 5*x^6*log((x^3 - 1)^(2/3) - (x^3 - 1)^(1/3) + 1) + 10*x^6*log((x^3 - 1)^(1/3) + 1) - 3*(13*x^3 - 3)*(x^3 - 1)^(1/3))/x^6","A",0
1375,-1,0,0,0.000000," ","integrate((a^2-2*a*x+x^2)*(-2*a*b*x+(3*a-b)*x^2)/(x^2*(-a+x)*(-b+x))^(3/4)/(a^3*d-3*a^2*d*x+(3*a*d-b)*x^2+(1-d)*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1376,1,5095,0,6.550974," ","integrate((x^2+1)/((2*x^2-x-2)/(x^2+x-1))^(1/2)/(x^4-x^2+1),x, algorithm=""fricas"")","-\frac{1}{100} \cdot 10^{\frac{3}{4}} \sqrt{5} \sqrt{2 \, \sqrt{10} + 20} \arctan\left(\frac{113784843418327559700 \, x^{24} - 1639244179085383461600 \, x^{23} + 2545884655734590980200 \, x^{22} + 50821242952569317006400 \, x^{21} - 158890131031597690275900 \, x^{20} - 465050237434908643152000 \, x^{19} + 1504931893222349028684600 \, x^{18} + 2129607736390894049244000 \, x^{17} - 6223660771133927367315000 \, x^{16} - 5602507922355181669879200 \, x^{15} + 13883484083974894847147400 \, x^{14} + 8971054092806414576313600 \, x^{13} - 18019091872612617624668700 \, x^{12} - 8971054092806414576313600 \, x^{11} + 13883484083974894847147400 \, x^{10} + 5602507922355181669879200 \, x^{9} - 6223660771133927367315000 \, x^{8} - 2129607736390894049244000 \, x^{7} + 1504931893222349028684600 \, x^{6} + 465050237434908643152000 \, x^{5} - 158890131031597690275900 \, x^{4} - 50821242952569317006400 \, x^{3} + 2545884655734590980200 \, x^{2} + 17 \, \sqrt{2} {\left({\left(10^{\frac{3}{4}} {\left(\sqrt{10} \sqrt{5} {\left(3353156233262299 \, x^{24} - 49929701526135692 \, x^{23} + 105488376266631398 \, x^{22} + 1245603618916311800 \, x^{21} - 3729015017341775649 \, x^{20} - 12574465648522249504 \, x^{19} + 28773197469313801650 \, x^{18} + 61934497275400333884 \, x^{17} - 104756202796838736914 \, x^{16} - 169570606189065646500 \, x^{15} + 217084068264548775966 \, x^{14} + 276610136446380234320 \, x^{13} - 274989879451094143625 \, x^{12} - 276610136446380234320 \, x^{11} + 217084068264548775966 \, x^{10} + 169570606189065646500 \, x^{9} - 104756202796838736914 \, x^{8} - 61934497275400333884 \, x^{7} + 28773197469313801650 \, x^{6} + 12574465648522249504 \, x^{5} - 3729015017341775649 \, x^{4} - 1245603618916311800 \, x^{3} + 105488376266631398 \, x^{2} + 49929701526135692 \, x + 3353156233262299\right)} + 10 \, \sqrt{5} {\left(1603095924058903 \, x^{24} - 28424949163733294 \, x^{23} + 129882833582498276 \, x^{22} + 237455573469526820 \, x^{21} - 2351987676228007923 \, x^{20} - 478983875485473448 \, x^{19} + 15731365763207610420 \, x^{18} - 1230955405989439242 \, x^{17} - 54757871112862546478 \, x^{16} + 7544291365549818150 \, x^{15} + 111831054251172443652 \, x^{14} - 14992902143911637200 \, x^{13} - 141157732738263834575 \, x^{12} + 14992902143911637200 \, x^{11} + 111831054251172443652 \, x^{10} - 7544291365549818150 \, x^{9} - 54757871112862546478 \, x^{8} + 1230955405989439242 \, x^{7} + 15731365763207610420 \, x^{6} + 478983875485473448 \, x^{5} - 2351987676228007923 \, x^{4} - 237455573469526820 \, x^{3} + 129882833582498276 \, x^{2} + 28424949163733294 \, x + 1603095924058903\right)}\right)} + 160 \cdot 10^{\frac{1}{4}} {\left(2 \, \sqrt{10} \sqrt{5} {\left(25826047493168 \, x^{24} - 423236377284370 \, x^{23} + 1395910997963665 \, x^{22} + 7977814049523724 \, x^{21} - 39442227900912726 \, x^{20} - 55889144962836926 \, x^{19} + 308168334219135075 \, x^{18} + 191213417542285986 \, x^{17} - 1166656659447404872 \, x^{16} - 371314532640925644 \, x^{15} + 2495683096606018509 \, x^{14} + 476597108839388734 \, x^{13} - 3197719822327310998 \, x^{12} - 476597108839388734 \, x^{11} + 2495683096606018509 \, x^{10} + 371314532640925644 \, x^{9} - 1166656659447404872 \, x^{8} - 191213417542285986 \, x^{7} + 308168334219135075 \, x^{6} + 55889144962836926 \, x^{5} - 39442227900912726 \, x^{4} - 7977814049523724 \, x^{3} + 1395910997963665 \, x^{2} + 423236377284370 \, x + 25826047493168\right)} + \sqrt{5} {\left(167291197847878 \, x^{24} - 2821779357503405 \, x^{23} + 10956936121559405 \, x^{22} + 35249787921032759 \, x^{21} - 204017758359407706 \, x^{20} - 312436240830040741 \, x^{19} + 1399334424550385115 \, x^{18} + 1735800349150666551 \, x^{17} - 4987682548518497012 \, x^{16} - 5368381759522587789 \, x^{15} + 10387543967266594209 \, x^{14} + 9352242816540595199 \, x^{13} - 13220291544952190258 \, x^{12} - 9352242816540595199 \, x^{11} + 10387543967266594209 \, x^{10} + 5368381759522587789 \, x^{9} - 4987682548518497012 \, x^{8} - 1735800349150666551 \, x^{7} + 1399334424550385115 \, x^{6} + 312436240830040741 \, x^{5} - 204017758359407706 \, x^{4} - 35249787921032759 \, x^{3} + 10956936121559405 \, x^{2} + 2821779357503405 \, x + 167291197847878\right)}\right)}\right)} \sqrt{2 \, \sqrt{10} + 20} - 40 \, {\left(7575923063334080 \, x^{24} - 120846800036516320 \, x^{23} + 365161535455038400 \, x^{22} + 2264233628233167520 \, x^{21} - 8547268899540342720 \, x^{20} - 24722670274627958240 \, x^{19} + 64588595464717514880 \, x^{18} + 139472668675247371680 \, x^{17} - 248284848145133462080 \, x^{16} - 427713008722866409440 \, x^{15} + 544910109896139954240 \, x^{14} + 743321346231612491680 \, x^{13} - 707219317504256947840 \, x^{12} - 743321346231612491680 \, x^{11} + 544910109896139954240 \, x^{10} + 427713008722866409440 \, x^{9} - 248284848145133462080 \, x^{8} - 139472668675247371680 \, x^{7} + 64588595464717514880 \, x^{6} + 24722670274627958240 \, x^{5} - 8547268899540342720 \, x^{4} - 2264233628233167520 \, x^{3} + 365161535455038400 \, x^{2} + \sqrt{10} {\left(3941811839020250 \, x^{24} - 64348465775688550 \, x^{23} + 225885647210950450 \, x^{22} + 941020417723504900 \, x^{21} - 4570387865727921300 \, x^{20} - 7999664382660162200 \, x^{19} + 29582666125955145150 \, x^{18} + 37508204562313810350 \, x^{17} - 97777371150634079200 \, x^{16} - 100481781887576998050 \, x^{15} + 191989493413612300650 \, x^{14} + 162041691927783863200 \, x^{13} - 238833086260082653000 \, x^{12} - 162041691927783863200 \, x^{11} + 191989493413612300650 \, x^{10} + 100481781887576998050 \, x^{9} - 97777371150634079200 \, x^{8} - 37508204562313810350 \, x^{7} + 29582666125955145150 \, x^{6} + 7999664382660162200 \, x^{5} - 4570387865727921300 \, x^{4} - 941020417723504900 \, x^{3} + 225885647210950450 \, x^{2} + \sqrt{10} {\left(1160866886007179 \, x^{24} - 17845297455339433 \, x^{23} + 44598386983244311 \, x^{22} + 407427605373345862 \, x^{21} - 1374776119098044166 \, x^{20} - 4157698868742924356 \, x^{19} + 10927521516291262449 \, x^{18} + 21652775358983721237 \, x^{17} - 41131357142108902096 \, x^{16} - 62264224681051657251 \, x^{15} + 87175766672417705979 \, x^{14} + 104283289775600539600 \, x^{13} - 111301173832927037212 \, x^{12} - 104283289775600539600 \, x^{11} + 87175766672417705979 \, x^{10} + 62264224681051657251 \, x^{9} - 41131357142108902096 \, x^{8} - 21652775358983721237 \, x^{7} + 10927521516291262449 \, x^{6} + 4157698868742924356 \, x^{5} - 1374776119098044166 \, x^{4} - 407427605373345862 \, x^{3} + 44598386983244311 \, x^{2} + 17845297455339433 \, x + 1160866886007179\right)} + 64348465775688550 \, x + 3941811839020250\right)} + 462400 \, \sqrt{10} {\left(5159465558 \, x^{24} - 81725010367 \, x^{23} + 233461919938 \, x^{22} + 1698386911873 \, x^{21} - 6557645525970 \, x^{20} - 15828018471263 \, x^{19} + 48718561372260 \, x^{18} + 76722347870157 \, x^{17} - 172301271560638 \, x^{16} - 208531808984739 \, x^{15} + 348922649378334 \, x^{14} + 338140378140253 \, x^{13} - 438000414906964 \, x^{12} - 338140378140253 \, x^{11} + 348922649378334 \, x^{10} + 208531808984739 \, x^{9} - 172301271560638 \, x^{8} - 76722347870157 \, x^{7} + 48718561372260 \, x^{6} + 15828018471263 \, x^{5} - 6557645525970 \, x^{4} - 1698386911873 \, x^{3} + 233461919938 \, x^{2} + 81725010367 \, x + 5159465558\right)} + 120846800036516320 \, x + 7575923063334080\right)} \sqrt{\frac{2 \, x^{2} - x - 2}{x^{2} + x - 1}}\right)} \sqrt{\frac{400 \, x^{4} + 200 \, x^{3} + 2 \cdot 10^{\frac{1}{4}} {\left(\sqrt{10} \sqrt{5} {\left(2 \, x^{4} + x^{3} - 5 \, x^{2} - x + 2\right)} + 5 \, \sqrt{5} {\left(x^{4} + 2 \, x^{3} - x^{2} - 2 \, x + 1\right)}\right)} \sqrt{2 \, \sqrt{10} + 20} \sqrt{\frac{2 \, x^{2} - x - 2}{x^{2} + x - 1}} - 1000 \, x^{2} + 5 \, \sqrt{10} {\left(17 \, x^{4} + 4 \, x^{3} - 29 \, x^{2} - 4 \, x + 17\right)} - 200 \, x + 400}{x^{4} - x^{2} + 1}} + 86700 \, {\left(10^{\frac{3}{4}} {\left(\sqrt{10} \sqrt{5} {\left(2442716712885 \, x^{24} - 13728698401842 \, x^{23} - 293186299957362 \, x^{22} + 2310137367621964 \, x^{21} + 1451517102418989 \, x^{20} - 33418412281395816 \, x^{19} - 7178198464024966 \, x^{18} + 183000238657163274 \, x^{17} + 32979923853964410 \, x^{16} - 518819784198533318 \, x^{15} - 84251682815179386 \, x^{14} + 855052654520890752 \, x^{13} + 114637825872128285 \, x^{12} - 855052654520890752 \, x^{11} - 84251682815179386 \, x^{10} + 518819784198533318 \, x^{9} + 32979923853964410 \, x^{8} - 183000238657163274 \, x^{7} - 7178198464024966 \, x^{6} + 33418412281395816 \, x^{5} + 1451517102418989 \, x^{4} - 2310137367621964 \, x^{3} - 293186299957362 \, x^{2} + 13728698401842 \, x + 2442716712885\right)} + 2 \, \sqrt{5} {\left(14773174320516 \, x^{24} - 268375520761317 \, x^{23} + 1309307163746259 \, x^{22} + 1740271771554118 \, x^{21} - 22961098057094619 \, x^{20} + 1995670027514196 \, x^{19} + 159995361247050941 \, x^{18} - 36026323622261007 \, x^{17} - 580081963181949234 \, x^{16} + 111975250170214681 \, x^{15} + 1216656271908709911 \, x^{14} - 182294736937952040 \, x^{13} - 1549896649785392773 \, x^{12} + 182294736937952040 \, x^{11} + 1216656271908709911 \, x^{10} - 111975250170214681 \, x^{9} - 580081963181949234 \, x^{8} + 36026323622261007 \, x^{7} + 159995361247050941 \, x^{6} - 1995670027514196 \, x^{5} - 22961098057094619 \, x^{4} - 1740271771554118 \, x^{3} + 1309307163746259 \, x^{2} + 268375520761317 \, x + 14773174320516\right)}\right)} + 32 \cdot 10^{\frac{1}{4}} {\left(\sqrt{10} \sqrt{5} {\left(353203013202 \, x^{24} - 5252268148153 \, x^{23} + 9599899316880 \, x^{22} + 157318487399903 \, x^{21} - 528463660887158 \, x^{20} - 1352806046560081 \, x^{19} + 4754204159940742 \, x^{18} + 5302733573770307 \, x^{17} - 19750563646089182 \, x^{16} - 12045907326764941 \, x^{15} + 44826810647943796 \, x^{14} + 17772009847998347 \, x^{13} - 58660810041591536 \, x^{12} - 17772009847998347 \, x^{11} + 44826810647943796 \, x^{10} + 12045907326764941 \, x^{9} - 19750563646089182 \, x^{8} - 5302733573770307 \, x^{7} + 4754204159940742 \, x^{6} + 1352806046560081 \, x^{5} - 528463660887158 \, x^{4} - 157318487399903 \, x^{3} + 9599899316880 \, x^{2} + 5252268148153 \, x + 353203013202\right)} + 5 \, \sqrt{5} {\left(239278797030 \, x^{24} - 3894104051149 \, x^{23} + 14241545124129 \, x^{22} + 43944733024733 \, x^{21} - 190384021067588 \, x^{20} - 581008343105785 \, x^{19} + 922766399143729 \, x^{18} + 4154684453315363 \, x^{17} - 1978225802691326 \, x^{16} - 14164309049142511 \, x^{15} + 2165933895533713 \, x^{14} + 25503495102958511 \, x^{13} - 1877306138593118 \, x^{12} - 25503495102958511 \, x^{11} + 2165933895533713 \, x^{10} + 14164309049142511 \, x^{9} - 1978225802691326 \, x^{8} - 4154684453315363 \, x^{7} + 922766399143729 \, x^{6} + 581008343105785 \, x^{5} - 190384021067588 \, x^{4} - 43944733024733 \, x^{3} + 14241545124129 \, x^{2} + 3894104051149 \, x + 239278797030\right)}\right)}\right)} \sqrt{2 \, \sqrt{10} + 20} \sqrt{\frac{2 \, x^{2} - x - 2}{x^{2} + x - 1}} + 1300500 \, \sqrt{10} {\left(33568388558203 \, x^{24} - 575319820414644 \, x^{23} + 2600060853588106 \, x^{22} + 3231189194065640 \, x^{21} - 35687236548135733 \, x^{20} - 7645624101059968 \, x^{19} + 182678402540331150 \, x^{18} + 9974894492537668 \, x^{17} - 512039294651286218 \, x^{16} - 7794844652266140 \, x^{15} + 909771845956721522 \, x^{14} + 3856229278651280 \, x^{13} - 1094808769706185685 \, x^{12} - 3856229278651280 \, x^{11} + 909771845956721522 \, x^{10} + 7794844652266140 \, x^{9} - 512039294651286218 \, x^{8} - 9974894492537668 \, x^{7} + 182678402540331150 \, x^{6} + 7645624101059968 \, x^{5} - 35687236548135733 \, x^{4} - 3231189194065640 \, x^{3} + 2600060853588106 \, x^{2} + 575319820414644 \, x + 33568388558203\right)} - 10404000 \, \sqrt{10} {\left(3913944654568 \, x^{24} - 68902030177800 \, x^{23} + 324474338021870 \, x^{22} + 346500573850454 \, x^{21} - 4441518281684956 \, x^{20} - 571126785242366 \, x^{19} + 22736146340724250 \, x^{18} - 100140780129284 \, x^{17} - 63742636856310672 \, x^{16} + 1930227608742956 \, x^{15} + 113272298306222934 \, x^{14} - 3707342105075886 \, x^{13} - 136316462990101068 \, x^{12} + 3707342105075886 \, x^{11} + 113272298306222934 \, x^{10} - 1930227608742956 \, x^{9} - 63742636856310672 \, x^{8} + 100140780129284 \, x^{7} + 22736146340724250 \, x^{6} + 571126785242366 \, x^{5} - 4441518281684956 \, x^{4} - 346500573850454 \, x^{3} + 324474338021870 \, x^{2} + \sqrt{10} {\left(1008132874294 \, x^{24} - 14888655494103 \, x^{23} + 24952193442996 \, x^{22} + 469321825791782 \, x^{21} - 1529467312445276 \, x^{20} - 4322697049104696 \, x^{19} + 14475801363390484 \, x^{18} + 19894689930581267 \, x^{17} - 59851766151398456 \, x^{16} - 52525242803693941 \, x^{15} + 133501316828030084 \, x^{14} + 84262553164312340 \, x^{13} - 173264213780669712 \, x^{12} - 84262553164312340 \, x^{11} + 133501316828030084 \, x^{10} + 52525242803693941 \, x^{9} - 59851766151398456 \, x^{8} - 19894689930581267 \, x^{7} + 14475801363390484 \, x^{6} + 4322697049104696 \, x^{5} - 1529467312445276 \, x^{4} - 469321825791782 \, x^{3} + 24952193442996 \, x^{2} + 14888655494103 \, x + 1008132874294\right)} + 68902030177800 \, x + 3913944654568\right)} + 1639244179085383461600 \, x + 113784843418327559700}{900 \, {\left(107276170508371881 \, x^{24} - 2441300271537795968 \, x^{23} + 17569300516266316746 \, x^{22} - 16092110779172766528 \, x^{21} - 288186279976289132707 \, x^{20} + 672190931265926674240 \, x^{19} + 1940582906697052688958 \, x^{18} - 4803572187578142625280 \, x^{17} - 6971857565484310566550 \, x^{16} + 15648066394863653981184 \, x^{15} + 14595578320760563174802 \, x^{14} - 27544211233989398727872 \, x^{13} - 18571557939452786508651 \, x^{12} + 27544211233989398727872 \, x^{11} + 14595578320760563174802 \, x^{10} - 15648066394863653981184 \, x^{9} - 6971857565484310566550 \, x^{8} + 4803572187578142625280 \, x^{7} + 1940582906697052688958 \, x^{6} - 672190931265926674240 \, x^{5} - 288186279976289132707 \, x^{4} + 16092110779172766528 \, x^{3} + 17569300516266316746 \, x^{2} + 2441300271537795968 \, x + 107276170508371881\right)}}\right) - \frac{1}{100} \cdot 10^{\frac{3}{4}} \sqrt{5} \sqrt{2 \, \sqrt{10} + 20} \arctan\left(-\frac{113784843418327559700 \, x^{24} - 1639244179085383461600 \, x^{23} + 2545884655734590980200 \, x^{22} + 50821242952569317006400 \, x^{21} - 158890131031597690275900 \, x^{20} - 465050237434908643152000 \, x^{19} + 1504931893222349028684600 \, x^{18} + 2129607736390894049244000 \, x^{17} - 6223660771133927367315000 \, x^{16} - 5602507922355181669879200 \, x^{15} + 13883484083974894847147400 \, x^{14} + 8971054092806414576313600 \, x^{13} - 18019091872612617624668700 \, x^{12} - 8971054092806414576313600 \, x^{11} + 13883484083974894847147400 \, x^{10} + 5602507922355181669879200 \, x^{9} - 6223660771133927367315000 \, x^{8} - 2129607736390894049244000 \, x^{7} + 1504931893222349028684600 \, x^{6} + 465050237434908643152000 \, x^{5} - 158890131031597690275900 \, x^{4} - 50821242952569317006400 \, x^{3} + 2545884655734590980200 \, x^{2} - 17 \, \sqrt{2} {\left({\left(10^{\frac{3}{4}} {\left(\sqrt{10} \sqrt{5} {\left(3353156233262299 \, x^{24} - 49929701526135692 \, x^{23} + 105488376266631398 \, x^{22} + 1245603618916311800 \, x^{21} - 3729015017341775649 \, x^{20} - 12574465648522249504 \, x^{19} + 28773197469313801650 \, x^{18} + 61934497275400333884 \, x^{17} - 104756202796838736914 \, x^{16} - 169570606189065646500 \, x^{15} + 217084068264548775966 \, x^{14} + 276610136446380234320 \, x^{13} - 274989879451094143625 \, x^{12} - 276610136446380234320 \, x^{11} + 217084068264548775966 \, x^{10} + 169570606189065646500 \, x^{9} - 104756202796838736914 \, x^{8} - 61934497275400333884 \, x^{7} + 28773197469313801650 \, x^{6} + 12574465648522249504 \, x^{5} - 3729015017341775649 \, x^{4} - 1245603618916311800 \, x^{3} + 105488376266631398 \, x^{2} + 49929701526135692 \, x + 3353156233262299\right)} + 10 \, \sqrt{5} {\left(1603095924058903 \, x^{24} - 28424949163733294 \, x^{23} + 129882833582498276 \, x^{22} + 237455573469526820 \, x^{21} - 2351987676228007923 \, x^{20} - 478983875485473448 \, x^{19} + 15731365763207610420 \, x^{18} - 1230955405989439242 \, x^{17} - 54757871112862546478 \, x^{16} + 7544291365549818150 \, x^{15} + 111831054251172443652 \, x^{14} - 14992902143911637200 \, x^{13} - 141157732738263834575 \, x^{12} + 14992902143911637200 \, x^{11} + 111831054251172443652 \, x^{10} - 7544291365549818150 \, x^{9} - 54757871112862546478 \, x^{8} + 1230955405989439242 \, x^{7} + 15731365763207610420 \, x^{6} + 478983875485473448 \, x^{5} - 2351987676228007923 \, x^{4} - 237455573469526820 \, x^{3} + 129882833582498276 \, x^{2} + 28424949163733294 \, x + 1603095924058903\right)}\right)} + 160 \cdot 10^{\frac{1}{4}} {\left(2 \, \sqrt{10} \sqrt{5} {\left(25826047493168 \, x^{24} - 423236377284370 \, x^{23} + 1395910997963665 \, x^{22} + 7977814049523724 \, x^{21} - 39442227900912726 \, x^{20} - 55889144962836926 \, x^{19} + 308168334219135075 \, x^{18} + 191213417542285986 \, x^{17} - 1166656659447404872 \, x^{16} - 371314532640925644 \, x^{15} + 2495683096606018509 \, x^{14} + 476597108839388734 \, x^{13} - 3197719822327310998 \, x^{12} - 476597108839388734 \, x^{11} + 2495683096606018509 \, x^{10} + 371314532640925644 \, x^{9} - 1166656659447404872 \, x^{8} - 191213417542285986 \, x^{7} + 308168334219135075 \, x^{6} + 55889144962836926 \, x^{5} - 39442227900912726 \, x^{4} - 7977814049523724 \, x^{3} + 1395910997963665 \, x^{2} + 423236377284370 \, x + 25826047493168\right)} + \sqrt{5} {\left(167291197847878 \, x^{24} - 2821779357503405 \, x^{23} + 10956936121559405 \, x^{22} + 35249787921032759 \, x^{21} - 204017758359407706 \, x^{20} - 312436240830040741 \, x^{19} + 1399334424550385115 \, x^{18} + 1735800349150666551 \, x^{17} - 4987682548518497012 \, x^{16} - 5368381759522587789 \, x^{15} + 10387543967266594209 \, x^{14} + 9352242816540595199 \, x^{13} - 13220291544952190258 \, x^{12} - 9352242816540595199 \, x^{11} + 10387543967266594209 \, x^{10} + 5368381759522587789 \, x^{9} - 4987682548518497012 \, x^{8} - 1735800349150666551 \, x^{7} + 1399334424550385115 \, x^{6} + 312436240830040741 \, x^{5} - 204017758359407706 \, x^{4} - 35249787921032759 \, x^{3} + 10956936121559405 \, x^{2} + 2821779357503405 \, x + 167291197847878\right)}\right)}\right)} \sqrt{2 \, \sqrt{10} + 20} + 40 \, {\left(7575923063334080 \, x^{24} - 120846800036516320 \, x^{23} + 365161535455038400 \, x^{22} + 2264233628233167520 \, x^{21} - 8547268899540342720 \, x^{20} - 24722670274627958240 \, x^{19} + 64588595464717514880 \, x^{18} + 139472668675247371680 \, x^{17} - 248284848145133462080 \, x^{16} - 427713008722866409440 \, x^{15} + 544910109896139954240 \, x^{14} + 743321346231612491680 \, x^{13} - 707219317504256947840 \, x^{12} - 743321346231612491680 \, x^{11} + 544910109896139954240 \, x^{10} + 427713008722866409440 \, x^{9} - 248284848145133462080 \, x^{8} - 139472668675247371680 \, x^{7} + 64588595464717514880 \, x^{6} + 24722670274627958240 \, x^{5} - 8547268899540342720 \, x^{4} - 2264233628233167520 \, x^{3} + 365161535455038400 \, x^{2} + \sqrt{10} {\left(3941811839020250 \, x^{24} - 64348465775688550 \, x^{23} + 225885647210950450 \, x^{22} + 941020417723504900 \, x^{21} - 4570387865727921300 \, x^{20} - 7999664382660162200 \, x^{19} + 29582666125955145150 \, x^{18} + 37508204562313810350 \, x^{17} - 97777371150634079200 \, x^{16} - 100481781887576998050 \, x^{15} + 191989493413612300650 \, x^{14} + 162041691927783863200 \, x^{13} - 238833086260082653000 \, x^{12} - 162041691927783863200 \, x^{11} + 191989493413612300650 \, x^{10} + 100481781887576998050 \, x^{9} - 97777371150634079200 \, x^{8} - 37508204562313810350 \, x^{7} + 29582666125955145150 \, x^{6} + 7999664382660162200 \, x^{5} - 4570387865727921300 \, x^{4} - 941020417723504900 \, x^{3} + 225885647210950450 \, x^{2} + \sqrt{10} {\left(1160866886007179 \, x^{24} - 17845297455339433 \, x^{23} + 44598386983244311 \, x^{22} + 407427605373345862 \, x^{21} - 1374776119098044166 \, x^{20} - 4157698868742924356 \, x^{19} + 10927521516291262449 \, x^{18} + 21652775358983721237 \, x^{17} - 41131357142108902096 \, x^{16} - 62264224681051657251 \, x^{15} + 87175766672417705979 \, x^{14} + 104283289775600539600 \, x^{13} - 111301173832927037212 \, x^{12} - 104283289775600539600 \, x^{11} + 87175766672417705979 \, x^{10} + 62264224681051657251 \, x^{9} - 41131357142108902096 \, x^{8} - 21652775358983721237 \, x^{7} + 10927521516291262449 \, x^{6} + 4157698868742924356 \, x^{5} - 1374776119098044166 \, x^{4} - 407427605373345862 \, x^{3} + 44598386983244311 \, x^{2} + 17845297455339433 \, x + 1160866886007179\right)} + 64348465775688550 \, x + 3941811839020250\right)} + 462400 \, \sqrt{10} {\left(5159465558 \, x^{24} - 81725010367 \, x^{23} + 233461919938 \, x^{22} + 1698386911873 \, x^{21} - 6557645525970 \, x^{20} - 15828018471263 \, x^{19} + 48718561372260 \, x^{18} + 76722347870157 \, x^{17} - 172301271560638 \, x^{16} - 208531808984739 \, x^{15} + 348922649378334 \, x^{14} + 338140378140253 \, x^{13} - 438000414906964 \, x^{12} - 338140378140253 \, x^{11} + 348922649378334 \, x^{10} + 208531808984739 \, x^{9} - 172301271560638 \, x^{8} - 76722347870157 \, x^{7} + 48718561372260 \, x^{6} + 15828018471263 \, x^{5} - 6557645525970 \, x^{4} - 1698386911873 \, x^{3} + 233461919938 \, x^{2} + 81725010367 \, x + 5159465558\right)} + 120846800036516320 \, x + 7575923063334080\right)} \sqrt{\frac{2 \, x^{2} - x - 2}{x^{2} + x - 1}}\right)} \sqrt{\frac{400 \, x^{4} + 200 \, x^{3} - 2 \cdot 10^{\frac{1}{4}} {\left(\sqrt{10} \sqrt{5} {\left(2 \, x^{4} + x^{3} - 5 \, x^{2} - x + 2\right)} + 5 \, \sqrt{5} {\left(x^{4} + 2 \, x^{3} - x^{2} - 2 \, x + 1\right)}\right)} \sqrt{2 \, \sqrt{10} + 20} \sqrt{\frac{2 \, x^{2} - x - 2}{x^{2} + x - 1}} - 1000 \, x^{2} + 5 \, \sqrt{10} {\left(17 \, x^{4} + 4 \, x^{3} - 29 \, x^{2} - 4 \, x + 17\right)} - 200 \, x + 400}{x^{4} - x^{2} + 1}} - 86700 \, {\left(10^{\frac{3}{4}} {\left(\sqrt{10} \sqrt{5} {\left(2442716712885 \, x^{24} - 13728698401842 \, x^{23} - 293186299957362 \, x^{22} + 2310137367621964 \, x^{21} + 1451517102418989 \, x^{20} - 33418412281395816 \, x^{19} - 7178198464024966 \, x^{18} + 183000238657163274 \, x^{17} + 32979923853964410 \, x^{16} - 518819784198533318 \, x^{15} - 84251682815179386 \, x^{14} + 855052654520890752 \, x^{13} + 114637825872128285 \, x^{12} - 855052654520890752 \, x^{11} - 84251682815179386 \, x^{10} + 518819784198533318 \, x^{9} + 32979923853964410 \, x^{8} - 183000238657163274 \, x^{7} - 7178198464024966 \, x^{6} + 33418412281395816 \, x^{5} + 1451517102418989 \, x^{4} - 2310137367621964 \, x^{3} - 293186299957362 \, x^{2} + 13728698401842 \, x + 2442716712885\right)} + 2 \, \sqrt{5} {\left(14773174320516 \, x^{24} - 268375520761317 \, x^{23} + 1309307163746259 \, x^{22} + 1740271771554118 \, x^{21} - 22961098057094619 \, x^{20} + 1995670027514196 \, x^{19} + 159995361247050941 \, x^{18} - 36026323622261007 \, x^{17} - 580081963181949234 \, x^{16} + 111975250170214681 \, x^{15} + 1216656271908709911 \, x^{14} - 182294736937952040 \, x^{13} - 1549896649785392773 \, x^{12} + 182294736937952040 \, x^{11} + 1216656271908709911 \, x^{10} - 111975250170214681 \, x^{9} - 580081963181949234 \, x^{8} + 36026323622261007 \, x^{7} + 159995361247050941 \, x^{6} - 1995670027514196 \, x^{5} - 22961098057094619 \, x^{4} - 1740271771554118 \, x^{3} + 1309307163746259 \, x^{2} + 268375520761317 \, x + 14773174320516\right)}\right)} + 32 \cdot 10^{\frac{1}{4}} {\left(\sqrt{10} \sqrt{5} {\left(353203013202 \, x^{24} - 5252268148153 \, x^{23} + 9599899316880 \, x^{22} + 157318487399903 \, x^{21} - 528463660887158 \, x^{20} - 1352806046560081 \, x^{19} + 4754204159940742 \, x^{18} + 5302733573770307 \, x^{17} - 19750563646089182 \, x^{16} - 12045907326764941 \, x^{15} + 44826810647943796 \, x^{14} + 17772009847998347 \, x^{13} - 58660810041591536 \, x^{12} - 17772009847998347 \, x^{11} + 44826810647943796 \, x^{10} + 12045907326764941 \, x^{9} - 19750563646089182 \, x^{8} - 5302733573770307 \, x^{7} + 4754204159940742 \, x^{6} + 1352806046560081 \, x^{5} - 528463660887158 \, x^{4} - 157318487399903 \, x^{3} + 9599899316880 \, x^{2} + 5252268148153 \, x + 353203013202\right)} + 5 \, \sqrt{5} {\left(239278797030 \, x^{24} - 3894104051149 \, x^{23} + 14241545124129 \, x^{22} + 43944733024733 \, x^{21} - 190384021067588 \, x^{20} - 581008343105785 \, x^{19} + 922766399143729 \, x^{18} + 4154684453315363 \, x^{17} - 1978225802691326 \, x^{16} - 14164309049142511 \, x^{15} + 2165933895533713 \, x^{14} + 25503495102958511 \, x^{13} - 1877306138593118 \, x^{12} - 25503495102958511 \, x^{11} + 2165933895533713 \, x^{10} + 14164309049142511 \, x^{9} - 1978225802691326 \, x^{8} - 4154684453315363 \, x^{7} + 922766399143729 \, x^{6} + 581008343105785 \, x^{5} - 190384021067588 \, x^{4} - 43944733024733 \, x^{3} + 14241545124129 \, x^{2} + 3894104051149 \, x + 239278797030\right)}\right)}\right)} \sqrt{2 \, \sqrt{10} + 20} \sqrt{\frac{2 \, x^{2} - x - 2}{x^{2} + x - 1}} + 1300500 \, \sqrt{10} {\left(33568388558203 \, x^{24} - 575319820414644 \, x^{23} + 2600060853588106 \, x^{22} + 3231189194065640 \, x^{21} - 35687236548135733 \, x^{20} - 7645624101059968 \, x^{19} + 182678402540331150 \, x^{18} + 9974894492537668 \, x^{17} - 512039294651286218 \, x^{16} - 7794844652266140 \, x^{15} + 909771845956721522 \, x^{14} + 3856229278651280 \, x^{13} - 1094808769706185685 \, x^{12} - 3856229278651280 \, x^{11} + 909771845956721522 \, x^{10} + 7794844652266140 \, x^{9} - 512039294651286218 \, x^{8} - 9974894492537668 \, x^{7} + 182678402540331150 \, x^{6} + 7645624101059968 \, x^{5} - 35687236548135733 \, x^{4} - 3231189194065640 \, x^{3} + 2600060853588106 \, x^{2} + 575319820414644 \, x + 33568388558203\right)} - 10404000 \, \sqrt{10} {\left(3913944654568 \, x^{24} - 68902030177800 \, x^{23} + 324474338021870 \, x^{22} + 346500573850454 \, x^{21} - 4441518281684956 \, x^{20} - 571126785242366 \, x^{19} + 22736146340724250 \, x^{18} - 100140780129284 \, x^{17} - 63742636856310672 \, x^{16} + 1930227608742956 \, x^{15} + 113272298306222934 \, x^{14} - 3707342105075886 \, x^{13} - 136316462990101068 \, x^{12} + 3707342105075886 \, x^{11} + 113272298306222934 \, x^{10} - 1930227608742956 \, x^{9} - 63742636856310672 \, x^{8} + 100140780129284 \, x^{7} + 22736146340724250 \, x^{6} + 571126785242366 \, x^{5} - 4441518281684956 \, x^{4} - 346500573850454 \, x^{3} + 324474338021870 \, x^{2} + \sqrt{10} {\left(1008132874294 \, x^{24} - 14888655494103 \, x^{23} + 24952193442996 \, x^{22} + 469321825791782 \, x^{21} - 1529467312445276 \, x^{20} - 4322697049104696 \, x^{19} + 14475801363390484 \, x^{18} + 19894689930581267 \, x^{17} - 59851766151398456 \, x^{16} - 52525242803693941 \, x^{15} + 133501316828030084 \, x^{14} + 84262553164312340 \, x^{13} - 173264213780669712 \, x^{12} - 84262553164312340 \, x^{11} + 133501316828030084 \, x^{10} + 52525242803693941 \, x^{9} - 59851766151398456 \, x^{8} - 19894689930581267 \, x^{7} + 14475801363390484 \, x^{6} + 4322697049104696 \, x^{5} - 1529467312445276 \, x^{4} - 469321825791782 \, x^{3} + 24952193442996 \, x^{2} + 14888655494103 \, x + 1008132874294\right)} + 68902030177800 \, x + 3913944654568\right)} + 1639244179085383461600 \, x + 113784843418327559700}{900 \, {\left(107276170508371881 \, x^{24} - 2441300271537795968 \, x^{23} + 17569300516266316746 \, x^{22} - 16092110779172766528 \, x^{21} - 288186279976289132707 \, x^{20} + 672190931265926674240 \, x^{19} + 1940582906697052688958 \, x^{18} - 4803572187578142625280 \, x^{17} - 6971857565484310566550 \, x^{16} + 15648066394863653981184 \, x^{15} + 14595578320760563174802 \, x^{14} - 27544211233989398727872 \, x^{13} - 18571557939452786508651 \, x^{12} + 27544211233989398727872 \, x^{11} + 14595578320760563174802 \, x^{10} - 15648066394863653981184 \, x^{9} - 6971857565484310566550 \, x^{8} + 4803572187578142625280 \, x^{7} + 1940582906697052688958 \, x^{6} - 672190931265926674240 \, x^{5} - 288186279976289132707 \, x^{4} + 16092110779172766528 \, x^{3} + 17569300516266316746 \, x^{2} + 2441300271537795968 \, x + 107276170508371881\right)}}\right) - \frac{1}{1200} \cdot 10^{\frac{1}{4}} {\left(\sqrt{10} \sqrt{5} - 10 \, \sqrt{5}\right)} \sqrt{2 \, \sqrt{10} + 20} \log\left(\frac{14450 \, {\left(400 \, x^{4} + 200 \, x^{3} + 2 \cdot 10^{\frac{1}{4}} {\left(\sqrt{10} \sqrt{5} {\left(2 \, x^{4} + x^{3} - 5 \, x^{2} - x + 2\right)} + 5 \, \sqrt{5} {\left(x^{4} + 2 \, x^{3} - x^{2} - 2 \, x + 1\right)}\right)} \sqrt{2 \, \sqrt{10} + 20} \sqrt{\frac{2 \, x^{2} - x - 2}{x^{2} + x - 1}} - 1000 \, x^{2} + 5 \, \sqrt{10} {\left(17 \, x^{4} + 4 \, x^{3} - 29 \, x^{2} - 4 \, x + 17\right)} - 200 \, x + 400\right)}}{x^{4} - x^{2} + 1}\right) + \frac{1}{1200} \cdot 10^{\frac{1}{4}} {\left(\sqrt{10} \sqrt{5} - 10 \, \sqrt{5}\right)} \sqrt{2 \, \sqrt{10} + 20} \log\left(\frac{14450 \, {\left(400 \, x^{4} + 200 \, x^{3} - 2 \cdot 10^{\frac{1}{4}} {\left(\sqrt{10} \sqrt{5} {\left(2 \, x^{4} + x^{3} - 5 \, x^{2} - x + 2\right)} + 5 \, \sqrt{5} {\left(x^{4} + 2 \, x^{3} - x^{2} - 2 \, x + 1\right)}\right)} \sqrt{2 \, \sqrt{10} + 20} \sqrt{\frac{2 \, x^{2} - x - 2}{x^{2} + x - 1}} - 1000 \, x^{2} + 5 \, \sqrt{10} {\left(17 \, x^{4} + 4 \, x^{3} - 29 \, x^{2} - 4 \, x + 17\right)} - 200 \, x + 400\right)}}{x^{4} - x^{2} + 1}\right)"," ",0,"-1/100*10^(3/4)*sqrt(5)*sqrt(2*sqrt(10) + 20)*arctan(1/900*(113784843418327559700*x^24 - 1639244179085383461600*x^23 + 2545884655734590980200*x^22 + 50821242952569317006400*x^21 - 158890131031597690275900*x^20 - 465050237434908643152000*x^19 + 1504931893222349028684600*x^18 + 2129607736390894049244000*x^17 - 6223660771133927367315000*x^16 - 5602507922355181669879200*x^15 + 13883484083974894847147400*x^14 + 8971054092806414576313600*x^13 - 18019091872612617624668700*x^12 - 8971054092806414576313600*x^11 + 13883484083974894847147400*x^10 + 5602507922355181669879200*x^9 - 6223660771133927367315000*x^8 - 2129607736390894049244000*x^7 + 1504931893222349028684600*x^6 + 465050237434908643152000*x^5 - 158890131031597690275900*x^4 - 50821242952569317006400*x^3 + 2545884655734590980200*x^2 + 17*sqrt(2)*((10^(3/4)*(sqrt(10)*sqrt(5)*(3353156233262299*x^24 - 49929701526135692*x^23 + 105488376266631398*x^22 + 1245603618916311800*x^21 - 3729015017341775649*x^20 - 12574465648522249504*x^19 + 28773197469313801650*x^18 + 61934497275400333884*x^17 - 104756202796838736914*x^16 - 169570606189065646500*x^15 + 217084068264548775966*x^14 + 276610136446380234320*x^13 - 274989879451094143625*x^12 - 276610136446380234320*x^11 + 217084068264548775966*x^10 + 169570606189065646500*x^9 - 104756202796838736914*x^8 - 61934497275400333884*x^7 + 28773197469313801650*x^6 + 12574465648522249504*x^5 - 3729015017341775649*x^4 - 1245603618916311800*x^3 + 105488376266631398*x^2 + 49929701526135692*x + 3353156233262299) + 10*sqrt(5)*(1603095924058903*x^24 - 28424949163733294*x^23 + 129882833582498276*x^22 + 237455573469526820*x^21 - 2351987676228007923*x^20 - 478983875485473448*x^19 + 15731365763207610420*x^18 - 1230955405989439242*x^17 - 54757871112862546478*x^16 + 7544291365549818150*x^15 + 111831054251172443652*x^14 - 14992902143911637200*x^13 - 141157732738263834575*x^12 + 14992902143911637200*x^11 + 111831054251172443652*x^10 - 7544291365549818150*x^9 - 54757871112862546478*x^8 + 1230955405989439242*x^7 + 15731365763207610420*x^6 + 478983875485473448*x^5 - 2351987676228007923*x^4 - 237455573469526820*x^3 + 129882833582498276*x^2 + 28424949163733294*x + 1603095924058903)) + 160*10^(1/4)*(2*sqrt(10)*sqrt(5)*(25826047493168*x^24 - 423236377284370*x^23 + 1395910997963665*x^22 + 7977814049523724*x^21 - 39442227900912726*x^20 - 55889144962836926*x^19 + 308168334219135075*x^18 + 191213417542285986*x^17 - 1166656659447404872*x^16 - 371314532640925644*x^15 + 2495683096606018509*x^14 + 476597108839388734*x^13 - 3197719822327310998*x^12 - 476597108839388734*x^11 + 2495683096606018509*x^10 + 371314532640925644*x^9 - 1166656659447404872*x^8 - 191213417542285986*x^7 + 308168334219135075*x^6 + 55889144962836926*x^5 - 39442227900912726*x^4 - 7977814049523724*x^3 + 1395910997963665*x^2 + 423236377284370*x + 25826047493168) + sqrt(5)*(167291197847878*x^24 - 2821779357503405*x^23 + 10956936121559405*x^22 + 35249787921032759*x^21 - 204017758359407706*x^20 - 312436240830040741*x^19 + 1399334424550385115*x^18 + 1735800349150666551*x^17 - 4987682548518497012*x^16 - 5368381759522587789*x^15 + 10387543967266594209*x^14 + 9352242816540595199*x^13 - 13220291544952190258*x^12 - 9352242816540595199*x^11 + 10387543967266594209*x^10 + 5368381759522587789*x^9 - 4987682548518497012*x^8 - 1735800349150666551*x^7 + 1399334424550385115*x^6 + 312436240830040741*x^5 - 204017758359407706*x^4 - 35249787921032759*x^3 + 10956936121559405*x^2 + 2821779357503405*x + 167291197847878)))*sqrt(2*sqrt(10) + 20) - 40*(7575923063334080*x^24 - 120846800036516320*x^23 + 365161535455038400*x^22 + 2264233628233167520*x^21 - 8547268899540342720*x^20 - 24722670274627958240*x^19 + 64588595464717514880*x^18 + 139472668675247371680*x^17 - 248284848145133462080*x^16 - 427713008722866409440*x^15 + 544910109896139954240*x^14 + 743321346231612491680*x^13 - 707219317504256947840*x^12 - 743321346231612491680*x^11 + 544910109896139954240*x^10 + 427713008722866409440*x^9 - 248284848145133462080*x^8 - 139472668675247371680*x^7 + 64588595464717514880*x^6 + 24722670274627958240*x^5 - 8547268899540342720*x^4 - 2264233628233167520*x^3 + 365161535455038400*x^2 + sqrt(10)*(3941811839020250*x^24 - 64348465775688550*x^23 + 225885647210950450*x^22 + 941020417723504900*x^21 - 4570387865727921300*x^20 - 7999664382660162200*x^19 + 29582666125955145150*x^18 + 37508204562313810350*x^17 - 97777371150634079200*x^16 - 100481781887576998050*x^15 + 191989493413612300650*x^14 + 162041691927783863200*x^13 - 238833086260082653000*x^12 - 162041691927783863200*x^11 + 191989493413612300650*x^10 + 100481781887576998050*x^9 - 97777371150634079200*x^8 - 37508204562313810350*x^7 + 29582666125955145150*x^6 + 7999664382660162200*x^5 - 4570387865727921300*x^4 - 941020417723504900*x^3 + 225885647210950450*x^2 + sqrt(10)*(1160866886007179*x^24 - 17845297455339433*x^23 + 44598386983244311*x^22 + 407427605373345862*x^21 - 1374776119098044166*x^20 - 4157698868742924356*x^19 + 10927521516291262449*x^18 + 21652775358983721237*x^17 - 41131357142108902096*x^16 - 62264224681051657251*x^15 + 87175766672417705979*x^14 + 104283289775600539600*x^13 - 111301173832927037212*x^12 - 104283289775600539600*x^11 + 87175766672417705979*x^10 + 62264224681051657251*x^9 - 41131357142108902096*x^8 - 21652775358983721237*x^7 + 10927521516291262449*x^6 + 4157698868742924356*x^5 - 1374776119098044166*x^4 - 407427605373345862*x^3 + 44598386983244311*x^2 + 17845297455339433*x + 1160866886007179) + 64348465775688550*x + 3941811839020250) + 462400*sqrt(10)*(5159465558*x^24 - 81725010367*x^23 + 233461919938*x^22 + 1698386911873*x^21 - 6557645525970*x^20 - 15828018471263*x^19 + 48718561372260*x^18 + 76722347870157*x^17 - 172301271560638*x^16 - 208531808984739*x^15 + 348922649378334*x^14 + 338140378140253*x^13 - 438000414906964*x^12 - 338140378140253*x^11 + 348922649378334*x^10 + 208531808984739*x^9 - 172301271560638*x^8 - 76722347870157*x^7 + 48718561372260*x^6 + 15828018471263*x^5 - 6557645525970*x^4 - 1698386911873*x^3 + 233461919938*x^2 + 81725010367*x + 5159465558) + 120846800036516320*x + 7575923063334080)*sqrt((2*x^2 - x - 2)/(x^2 + x - 1)))*sqrt((400*x^4 + 200*x^3 + 2*10^(1/4)*(sqrt(10)*sqrt(5)*(2*x^4 + x^3 - 5*x^2 - x + 2) + 5*sqrt(5)*(x^4 + 2*x^3 - x^2 - 2*x + 1))*sqrt(2*sqrt(10) + 20)*sqrt((2*x^2 - x - 2)/(x^2 + x - 1)) - 1000*x^2 + 5*sqrt(10)*(17*x^4 + 4*x^3 - 29*x^2 - 4*x + 17) - 200*x + 400)/(x^4 - x^2 + 1)) + 86700*(10^(3/4)*(sqrt(10)*sqrt(5)*(2442716712885*x^24 - 13728698401842*x^23 - 293186299957362*x^22 + 2310137367621964*x^21 + 1451517102418989*x^20 - 33418412281395816*x^19 - 7178198464024966*x^18 + 183000238657163274*x^17 + 32979923853964410*x^16 - 518819784198533318*x^15 - 84251682815179386*x^14 + 855052654520890752*x^13 + 114637825872128285*x^12 - 855052654520890752*x^11 - 84251682815179386*x^10 + 518819784198533318*x^9 + 32979923853964410*x^8 - 183000238657163274*x^7 - 7178198464024966*x^6 + 33418412281395816*x^5 + 1451517102418989*x^4 - 2310137367621964*x^3 - 293186299957362*x^2 + 13728698401842*x + 2442716712885) + 2*sqrt(5)*(14773174320516*x^24 - 268375520761317*x^23 + 1309307163746259*x^22 + 1740271771554118*x^21 - 22961098057094619*x^20 + 1995670027514196*x^19 + 159995361247050941*x^18 - 36026323622261007*x^17 - 580081963181949234*x^16 + 111975250170214681*x^15 + 1216656271908709911*x^14 - 182294736937952040*x^13 - 1549896649785392773*x^12 + 182294736937952040*x^11 + 1216656271908709911*x^10 - 111975250170214681*x^9 - 580081963181949234*x^8 + 36026323622261007*x^7 + 159995361247050941*x^6 - 1995670027514196*x^5 - 22961098057094619*x^4 - 1740271771554118*x^3 + 1309307163746259*x^2 + 268375520761317*x + 14773174320516)) + 32*10^(1/4)*(sqrt(10)*sqrt(5)*(353203013202*x^24 - 5252268148153*x^23 + 9599899316880*x^22 + 157318487399903*x^21 - 528463660887158*x^20 - 1352806046560081*x^19 + 4754204159940742*x^18 + 5302733573770307*x^17 - 19750563646089182*x^16 - 12045907326764941*x^15 + 44826810647943796*x^14 + 17772009847998347*x^13 - 58660810041591536*x^12 - 17772009847998347*x^11 + 44826810647943796*x^10 + 12045907326764941*x^9 - 19750563646089182*x^8 - 5302733573770307*x^7 + 4754204159940742*x^6 + 1352806046560081*x^5 - 528463660887158*x^4 - 157318487399903*x^3 + 9599899316880*x^2 + 5252268148153*x + 353203013202) + 5*sqrt(5)*(239278797030*x^24 - 3894104051149*x^23 + 14241545124129*x^22 + 43944733024733*x^21 - 190384021067588*x^20 - 581008343105785*x^19 + 922766399143729*x^18 + 4154684453315363*x^17 - 1978225802691326*x^16 - 14164309049142511*x^15 + 2165933895533713*x^14 + 25503495102958511*x^13 - 1877306138593118*x^12 - 25503495102958511*x^11 + 2165933895533713*x^10 + 14164309049142511*x^9 - 1978225802691326*x^8 - 4154684453315363*x^7 + 922766399143729*x^6 + 581008343105785*x^5 - 190384021067588*x^4 - 43944733024733*x^3 + 14241545124129*x^2 + 3894104051149*x + 239278797030)))*sqrt(2*sqrt(10) + 20)*sqrt((2*x^2 - x - 2)/(x^2 + x - 1)) + 1300500*sqrt(10)*(33568388558203*x^24 - 575319820414644*x^23 + 2600060853588106*x^22 + 3231189194065640*x^21 - 35687236548135733*x^20 - 7645624101059968*x^19 + 182678402540331150*x^18 + 9974894492537668*x^17 - 512039294651286218*x^16 - 7794844652266140*x^15 + 909771845956721522*x^14 + 3856229278651280*x^13 - 1094808769706185685*x^12 - 3856229278651280*x^11 + 909771845956721522*x^10 + 7794844652266140*x^9 - 512039294651286218*x^8 - 9974894492537668*x^7 + 182678402540331150*x^6 + 7645624101059968*x^5 - 35687236548135733*x^4 - 3231189194065640*x^3 + 2600060853588106*x^2 + 575319820414644*x + 33568388558203) - 10404000*sqrt(10)*(3913944654568*x^24 - 68902030177800*x^23 + 324474338021870*x^22 + 346500573850454*x^21 - 4441518281684956*x^20 - 571126785242366*x^19 + 22736146340724250*x^18 - 100140780129284*x^17 - 63742636856310672*x^16 + 1930227608742956*x^15 + 113272298306222934*x^14 - 3707342105075886*x^13 - 136316462990101068*x^12 + 3707342105075886*x^11 + 113272298306222934*x^10 - 1930227608742956*x^9 - 63742636856310672*x^8 + 100140780129284*x^7 + 22736146340724250*x^6 + 571126785242366*x^5 - 4441518281684956*x^4 - 346500573850454*x^3 + 324474338021870*x^2 + sqrt(10)*(1008132874294*x^24 - 14888655494103*x^23 + 24952193442996*x^22 + 469321825791782*x^21 - 1529467312445276*x^20 - 4322697049104696*x^19 + 14475801363390484*x^18 + 19894689930581267*x^17 - 59851766151398456*x^16 - 52525242803693941*x^15 + 133501316828030084*x^14 + 84262553164312340*x^13 - 173264213780669712*x^12 - 84262553164312340*x^11 + 133501316828030084*x^10 + 52525242803693941*x^9 - 59851766151398456*x^8 - 19894689930581267*x^7 + 14475801363390484*x^6 + 4322697049104696*x^5 - 1529467312445276*x^4 - 469321825791782*x^3 + 24952193442996*x^2 + 14888655494103*x + 1008132874294) + 68902030177800*x + 3913944654568) + 1639244179085383461600*x + 113784843418327559700)/(107276170508371881*x^24 - 2441300271537795968*x^23 + 17569300516266316746*x^22 - 16092110779172766528*x^21 - 288186279976289132707*x^20 + 672190931265926674240*x^19 + 1940582906697052688958*x^18 - 4803572187578142625280*x^17 - 6971857565484310566550*x^16 + 15648066394863653981184*x^15 + 14595578320760563174802*x^14 - 27544211233989398727872*x^13 - 18571557939452786508651*x^12 + 27544211233989398727872*x^11 + 14595578320760563174802*x^10 - 15648066394863653981184*x^9 - 6971857565484310566550*x^8 + 4803572187578142625280*x^7 + 1940582906697052688958*x^6 - 672190931265926674240*x^5 - 288186279976289132707*x^4 + 16092110779172766528*x^3 + 17569300516266316746*x^2 + 2441300271537795968*x + 107276170508371881)) - 1/100*10^(3/4)*sqrt(5)*sqrt(2*sqrt(10) + 20)*arctan(-1/900*(113784843418327559700*x^24 - 1639244179085383461600*x^23 + 2545884655734590980200*x^22 + 50821242952569317006400*x^21 - 158890131031597690275900*x^20 - 465050237434908643152000*x^19 + 1504931893222349028684600*x^18 + 2129607736390894049244000*x^17 - 6223660771133927367315000*x^16 - 5602507922355181669879200*x^15 + 13883484083974894847147400*x^14 + 8971054092806414576313600*x^13 - 18019091872612617624668700*x^12 - 8971054092806414576313600*x^11 + 13883484083974894847147400*x^10 + 5602507922355181669879200*x^9 - 6223660771133927367315000*x^8 - 2129607736390894049244000*x^7 + 1504931893222349028684600*x^6 + 465050237434908643152000*x^5 - 158890131031597690275900*x^4 - 50821242952569317006400*x^3 + 2545884655734590980200*x^2 - 17*sqrt(2)*((10^(3/4)*(sqrt(10)*sqrt(5)*(3353156233262299*x^24 - 49929701526135692*x^23 + 105488376266631398*x^22 + 1245603618916311800*x^21 - 3729015017341775649*x^20 - 12574465648522249504*x^19 + 28773197469313801650*x^18 + 61934497275400333884*x^17 - 104756202796838736914*x^16 - 169570606189065646500*x^15 + 217084068264548775966*x^14 + 276610136446380234320*x^13 - 274989879451094143625*x^12 - 276610136446380234320*x^11 + 217084068264548775966*x^10 + 169570606189065646500*x^9 - 104756202796838736914*x^8 - 61934497275400333884*x^7 + 28773197469313801650*x^6 + 12574465648522249504*x^5 - 3729015017341775649*x^4 - 1245603618916311800*x^3 + 105488376266631398*x^2 + 49929701526135692*x + 3353156233262299) + 10*sqrt(5)*(1603095924058903*x^24 - 28424949163733294*x^23 + 129882833582498276*x^22 + 237455573469526820*x^21 - 2351987676228007923*x^20 - 478983875485473448*x^19 + 15731365763207610420*x^18 - 1230955405989439242*x^17 - 54757871112862546478*x^16 + 7544291365549818150*x^15 + 111831054251172443652*x^14 - 14992902143911637200*x^13 - 141157732738263834575*x^12 + 14992902143911637200*x^11 + 111831054251172443652*x^10 - 7544291365549818150*x^9 - 54757871112862546478*x^8 + 1230955405989439242*x^7 + 15731365763207610420*x^6 + 478983875485473448*x^5 - 2351987676228007923*x^4 - 237455573469526820*x^3 + 129882833582498276*x^2 + 28424949163733294*x + 1603095924058903)) + 160*10^(1/4)*(2*sqrt(10)*sqrt(5)*(25826047493168*x^24 - 423236377284370*x^23 + 1395910997963665*x^22 + 7977814049523724*x^21 - 39442227900912726*x^20 - 55889144962836926*x^19 + 308168334219135075*x^18 + 191213417542285986*x^17 - 1166656659447404872*x^16 - 371314532640925644*x^15 + 2495683096606018509*x^14 + 476597108839388734*x^13 - 3197719822327310998*x^12 - 476597108839388734*x^11 + 2495683096606018509*x^10 + 371314532640925644*x^9 - 1166656659447404872*x^8 - 191213417542285986*x^7 + 308168334219135075*x^6 + 55889144962836926*x^5 - 39442227900912726*x^4 - 7977814049523724*x^3 + 1395910997963665*x^2 + 423236377284370*x + 25826047493168) + sqrt(5)*(167291197847878*x^24 - 2821779357503405*x^23 + 10956936121559405*x^22 + 35249787921032759*x^21 - 204017758359407706*x^20 - 312436240830040741*x^19 + 1399334424550385115*x^18 + 1735800349150666551*x^17 - 4987682548518497012*x^16 - 5368381759522587789*x^15 + 10387543967266594209*x^14 + 9352242816540595199*x^13 - 13220291544952190258*x^12 - 9352242816540595199*x^11 + 10387543967266594209*x^10 + 5368381759522587789*x^9 - 4987682548518497012*x^8 - 1735800349150666551*x^7 + 1399334424550385115*x^6 + 312436240830040741*x^5 - 204017758359407706*x^4 - 35249787921032759*x^3 + 10956936121559405*x^2 + 2821779357503405*x + 167291197847878)))*sqrt(2*sqrt(10) + 20) + 40*(7575923063334080*x^24 - 120846800036516320*x^23 + 365161535455038400*x^22 + 2264233628233167520*x^21 - 8547268899540342720*x^20 - 24722670274627958240*x^19 + 64588595464717514880*x^18 + 139472668675247371680*x^17 - 248284848145133462080*x^16 - 427713008722866409440*x^15 + 544910109896139954240*x^14 + 743321346231612491680*x^13 - 707219317504256947840*x^12 - 743321346231612491680*x^11 + 544910109896139954240*x^10 + 427713008722866409440*x^9 - 248284848145133462080*x^8 - 139472668675247371680*x^7 + 64588595464717514880*x^6 + 24722670274627958240*x^5 - 8547268899540342720*x^4 - 2264233628233167520*x^3 + 365161535455038400*x^2 + sqrt(10)*(3941811839020250*x^24 - 64348465775688550*x^23 + 225885647210950450*x^22 + 941020417723504900*x^21 - 4570387865727921300*x^20 - 7999664382660162200*x^19 + 29582666125955145150*x^18 + 37508204562313810350*x^17 - 97777371150634079200*x^16 - 100481781887576998050*x^15 + 191989493413612300650*x^14 + 162041691927783863200*x^13 - 238833086260082653000*x^12 - 162041691927783863200*x^11 + 191989493413612300650*x^10 + 100481781887576998050*x^9 - 97777371150634079200*x^8 - 37508204562313810350*x^7 + 29582666125955145150*x^6 + 7999664382660162200*x^5 - 4570387865727921300*x^4 - 941020417723504900*x^3 + 225885647210950450*x^2 + sqrt(10)*(1160866886007179*x^24 - 17845297455339433*x^23 + 44598386983244311*x^22 + 407427605373345862*x^21 - 1374776119098044166*x^20 - 4157698868742924356*x^19 + 10927521516291262449*x^18 + 21652775358983721237*x^17 - 41131357142108902096*x^16 - 62264224681051657251*x^15 + 87175766672417705979*x^14 + 104283289775600539600*x^13 - 111301173832927037212*x^12 - 104283289775600539600*x^11 + 87175766672417705979*x^10 + 62264224681051657251*x^9 - 41131357142108902096*x^8 - 21652775358983721237*x^7 + 10927521516291262449*x^6 + 4157698868742924356*x^5 - 1374776119098044166*x^4 - 407427605373345862*x^3 + 44598386983244311*x^2 + 17845297455339433*x + 1160866886007179) + 64348465775688550*x + 3941811839020250) + 462400*sqrt(10)*(5159465558*x^24 - 81725010367*x^23 + 233461919938*x^22 + 1698386911873*x^21 - 6557645525970*x^20 - 15828018471263*x^19 + 48718561372260*x^18 + 76722347870157*x^17 - 172301271560638*x^16 - 208531808984739*x^15 + 348922649378334*x^14 + 338140378140253*x^13 - 438000414906964*x^12 - 338140378140253*x^11 + 348922649378334*x^10 + 208531808984739*x^9 - 172301271560638*x^8 - 76722347870157*x^7 + 48718561372260*x^6 + 15828018471263*x^5 - 6557645525970*x^4 - 1698386911873*x^3 + 233461919938*x^2 + 81725010367*x + 5159465558) + 120846800036516320*x + 7575923063334080)*sqrt((2*x^2 - x - 2)/(x^2 + x - 1)))*sqrt((400*x^4 + 200*x^3 - 2*10^(1/4)*(sqrt(10)*sqrt(5)*(2*x^4 + x^3 - 5*x^2 - x + 2) + 5*sqrt(5)*(x^4 + 2*x^3 - x^2 - 2*x + 1))*sqrt(2*sqrt(10) + 20)*sqrt((2*x^2 - x - 2)/(x^2 + x - 1)) - 1000*x^2 + 5*sqrt(10)*(17*x^4 + 4*x^3 - 29*x^2 - 4*x + 17) - 200*x + 400)/(x^4 - x^2 + 1)) - 86700*(10^(3/4)*(sqrt(10)*sqrt(5)*(2442716712885*x^24 - 13728698401842*x^23 - 293186299957362*x^22 + 2310137367621964*x^21 + 1451517102418989*x^20 - 33418412281395816*x^19 - 7178198464024966*x^18 + 183000238657163274*x^17 + 32979923853964410*x^16 - 518819784198533318*x^15 - 84251682815179386*x^14 + 855052654520890752*x^13 + 114637825872128285*x^12 - 855052654520890752*x^11 - 84251682815179386*x^10 + 518819784198533318*x^9 + 32979923853964410*x^8 - 183000238657163274*x^7 - 7178198464024966*x^6 + 33418412281395816*x^5 + 1451517102418989*x^4 - 2310137367621964*x^3 - 293186299957362*x^2 + 13728698401842*x + 2442716712885) + 2*sqrt(5)*(14773174320516*x^24 - 268375520761317*x^23 + 1309307163746259*x^22 + 1740271771554118*x^21 - 22961098057094619*x^20 + 1995670027514196*x^19 + 159995361247050941*x^18 - 36026323622261007*x^17 - 580081963181949234*x^16 + 111975250170214681*x^15 + 1216656271908709911*x^14 - 182294736937952040*x^13 - 1549896649785392773*x^12 + 182294736937952040*x^11 + 1216656271908709911*x^10 - 111975250170214681*x^9 - 580081963181949234*x^8 + 36026323622261007*x^7 + 159995361247050941*x^6 - 1995670027514196*x^5 - 22961098057094619*x^4 - 1740271771554118*x^3 + 1309307163746259*x^2 + 268375520761317*x + 14773174320516)) + 32*10^(1/4)*(sqrt(10)*sqrt(5)*(353203013202*x^24 - 5252268148153*x^23 + 9599899316880*x^22 + 157318487399903*x^21 - 528463660887158*x^20 - 1352806046560081*x^19 + 4754204159940742*x^18 + 5302733573770307*x^17 - 19750563646089182*x^16 - 12045907326764941*x^15 + 44826810647943796*x^14 + 17772009847998347*x^13 - 58660810041591536*x^12 - 17772009847998347*x^11 + 44826810647943796*x^10 + 12045907326764941*x^9 - 19750563646089182*x^8 - 5302733573770307*x^7 + 4754204159940742*x^6 + 1352806046560081*x^5 - 528463660887158*x^4 - 157318487399903*x^3 + 9599899316880*x^2 + 5252268148153*x + 353203013202) + 5*sqrt(5)*(239278797030*x^24 - 3894104051149*x^23 + 14241545124129*x^22 + 43944733024733*x^21 - 190384021067588*x^20 - 581008343105785*x^19 + 922766399143729*x^18 + 4154684453315363*x^17 - 1978225802691326*x^16 - 14164309049142511*x^15 + 2165933895533713*x^14 + 25503495102958511*x^13 - 1877306138593118*x^12 - 25503495102958511*x^11 + 2165933895533713*x^10 + 14164309049142511*x^9 - 1978225802691326*x^8 - 4154684453315363*x^7 + 922766399143729*x^6 + 581008343105785*x^5 - 190384021067588*x^4 - 43944733024733*x^3 + 14241545124129*x^2 + 3894104051149*x + 239278797030)))*sqrt(2*sqrt(10) + 20)*sqrt((2*x^2 - x - 2)/(x^2 + x - 1)) + 1300500*sqrt(10)*(33568388558203*x^24 - 575319820414644*x^23 + 2600060853588106*x^22 + 3231189194065640*x^21 - 35687236548135733*x^20 - 7645624101059968*x^19 + 182678402540331150*x^18 + 9974894492537668*x^17 - 512039294651286218*x^16 - 7794844652266140*x^15 + 909771845956721522*x^14 + 3856229278651280*x^13 - 1094808769706185685*x^12 - 3856229278651280*x^11 + 909771845956721522*x^10 + 7794844652266140*x^9 - 512039294651286218*x^8 - 9974894492537668*x^7 + 182678402540331150*x^6 + 7645624101059968*x^5 - 35687236548135733*x^4 - 3231189194065640*x^3 + 2600060853588106*x^2 + 575319820414644*x + 33568388558203) - 10404000*sqrt(10)*(3913944654568*x^24 - 68902030177800*x^23 + 324474338021870*x^22 + 346500573850454*x^21 - 4441518281684956*x^20 - 571126785242366*x^19 + 22736146340724250*x^18 - 100140780129284*x^17 - 63742636856310672*x^16 + 1930227608742956*x^15 + 113272298306222934*x^14 - 3707342105075886*x^13 - 136316462990101068*x^12 + 3707342105075886*x^11 + 113272298306222934*x^10 - 1930227608742956*x^9 - 63742636856310672*x^8 + 100140780129284*x^7 + 22736146340724250*x^6 + 571126785242366*x^5 - 4441518281684956*x^4 - 346500573850454*x^3 + 324474338021870*x^2 + sqrt(10)*(1008132874294*x^24 - 14888655494103*x^23 + 24952193442996*x^22 + 469321825791782*x^21 - 1529467312445276*x^20 - 4322697049104696*x^19 + 14475801363390484*x^18 + 19894689930581267*x^17 - 59851766151398456*x^16 - 52525242803693941*x^15 + 133501316828030084*x^14 + 84262553164312340*x^13 - 173264213780669712*x^12 - 84262553164312340*x^11 + 133501316828030084*x^10 + 52525242803693941*x^9 - 59851766151398456*x^8 - 19894689930581267*x^7 + 14475801363390484*x^6 + 4322697049104696*x^5 - 1529467312445276*x^4 - 469321825791782*x^3 + 24952193442996*x^2 + 14888655494103*x + 1008132874294) + 68902030177800*x + 3913944654568) + 1639244179085383461600*x + 113784843418327559700)/(107276170508371881*x^24 - 2441300271537795968*x^23 + 17569300516266316746*x^22 - 16092110779172766528*x^21 - 288186279976289132707*x^20 + 672190931265926674240*x^19 + 1940582906697052688958*x^18 - 4803572187578142625280*x^17 - 6971857565484310566550*x^16 + 15648066394863653981184*x^15 + 14595578320760563174802*x^14 - 27544211233989398727872*x^13 - 18571557939452786508651*x^12 + 27544211233989398727872*x^11 + 14595578320760563174802*x^10 - 15648066394863653981184*x^9 - 6971857565484310566550*x^8 + 4803572187578142625280*x^7 + 1940582906697052688958*x^6 - 672190931265926674240*x^5 - 288186279976289132707*x^4 + 16092110779172766528*x^3 + 17569300516266316746*x^2 + 2441300271537795968*x + 107276170508371881)) - 1/1200*10^(1/4)*(sqrt(10)*sqrt(5) - 10*sqrt(5))*sqrt(2*sqrt(10) + 20)*log(14450*(400*x^4 + 200*x^3 + 2*10^(1/4)*(sqrt(10)*sqrt(5)*(2*x^4 + x^3 - 5*x^2 - x + 2) + 5*sqrt(5)*(x^4 + 2*x^3 - x^2 - 2*x + 1))*sqrt(2*sqrt(10) + 20)*sqrt((2*x^2 - x - 2)/(x^2 + x - 1)) - 1000*x^2 + 5*sqrt(10)*(17*x^4 + 4*x^3 - 29*x^2 - 4*x + 17) - 200*x + 400)/(x^4 - x^2 + 1)) + 1/1200*10^(1/4)*(sqrt(10)*sqrt(5) - 10*sqrt(5))*sqrt(2*sqrt(10) + 20)*log(14450*(400*x^4 + 200*x^3 - 2*10^(1/4)*(sqrt(10)*sqrt(5)*(2*x^4 + x^3 - 5*x^2 - x + 2) + 5*sqrt(5)*(x^4 + 2*x^3 - x^2 - 2*x + 1))*sqrt(2*sqrt(10) + 20)*sqrt((2*x^2 - x - 2)/(x^2 + x - 1)) - 1000*x^2 + 5*sqrt(10)*(17*x^4 + 4*x^3 - 29*x^2 - 4*x + 17) - 200*x + 400)/(x^4 - x^2 + 1))","B",0
1377,-1,0,0,0.000000," ","integrate((a*x^4-2*b)/x^4/(a*x^4+b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1378,-1,0,0,0.000000," ","integrate((a*x^4-2*b)/x^4/(a*x^4+b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1379,1,234,0,0.948444," ","integrate((a*x^4+b*x^3)^(1/4),x, algorithm=""fricas"")","\frac{12 \, a \left(\frac{b^{8}}{a^{7}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} a^{5} b^{2} \left(\frac{b^{8}}{a^{7}}\right)^{\frac{3}{4}} - a^{5} \left(\frac{b^{8}}{a^{7}}\right)^{\frac{3}{4}} x \sqrt{\frac{a^{4} \sqrt{\frac{b^{8}}{a^{7}}} x^{2} + \sqrt{a x^{4} + b x^{3}} b^{4}}{x^{2}}}}{b^{8} x}\right) - 3 \, a \left(\frac{b^{8}}{a^{7}}\right)^{\frac{1}{4}} \log\left(\frac{3 \, {\left(a^{2} \left(\frac{b^{8}}{a^{7}}\right)^{\frac{1}{4}} x + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} b^{2}\right)}}{x}\right) + 3 \, a \left(\frac{b^{8}}{a^{7}}\right)^{\frac{1}{4}} \log\left(-\frac{3 \, {\left(a^{2} \left(\frac{b^{8}}{a^{7}}\right)^{\frac{1}{4}} x - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} b^{2}\right)}}{x}\right) + 4 \, {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(4 \, a x + b\right)}}{32 \, a}"," ",0,"1/32*(12*a*(b^8/a^7)^(1/4)*arctan(-((a*x^4 + b*x^3)^(1/4)*a^5*b^2*(b^8/a^7)^(3/4) - a^5*(b^8/a^7)^(3/4)*x*sqrt((a^4*sqrt(b^8/a^7)*x^2 + sqrt(a*x^4 + b*x^3)*b^4)/x^2))/(b^8*x)) - 3*a*(b^8/a^7)^(1/4)*log(3*(a^2*(b^8/a^7)^(1/4)*x + (a*x^4 + b*x^3)^(1/4)*b^2)/x) + 3*a*(b^8/a^7)^(1/4)*log(-3*(a^2*(b^8/a^7)^(1/4)*x - (a*x^4 + b*x^3)^(1/4)*b^2)/x) + 4*(a*x^4 + b*x^3)^(1/4)*(4*a*x + b))/a","B",0
1380,1,88,0,0.680819," ","integrate(1/x^13/(x^6-1)^(1/3),x, algorithm=""fricas"")","\frac{4 \, \sqrt{3} x^{12} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) + 2 \, x^{12} \log\left({\left(x^{6} - 1\right)}^{\frac{2}{3}} - {\left(x^{6} - 1\right)}^{\frac{1}{3}} + 1\right) - 4 \, x^{12} \log\left({\left(x^{6} - 1\right)}^{\frac{1}{3}} + 1\right) + 3 \, {\left(4 \, x^{6} + 3\right)} {\left(x^{6} - 1\right)}^{\frac{2}{3}}}{108 \, x^{12}}"," ",0,"1/108*(4*sqrt(3)*x^12*arctan(2/3*sqrt(3)*(x^6 - 1)^(1/3) - 1/3*sqrt(3)) + 2*x^12*log((x^6 - 1)^(2/3) - (x^6 - 1)^(1/3) + 1) - 4*x^12*log((x^6 - 1)^(1/3) + 1) + 3*(4*x^6 + 3)*(x^6 - 1)^(2/3))/x^12","A",0
1381,-1,0,0,0.000000," ","integrate((2*a*x^4+b)/(a*x^4+b)^(1/4)/(x^8-a*x^4-2*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1382,-1,0,0,0.000000," ","integrate((a*x^4+2*b)/(a*x^4+b*x^2)^(1/4)/(2*x^8-a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1383,-1,0,0,0.000000," ","integrate((a*x^4+2*b)/(a*x^4+b*x^2)^(1/4)/(2*x^8-a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1384,1,708,0,1.789660," ","integrate((2*x^2-1)*(4*x^4-4*x^2+4*x-1)/((-2*x^2+1)/(2*x^2+1))^(1/2)/(2*x^2+1)/(8*x^8-32*x^7+56*x^6-64*x^5+46*x^4-40*x^3+32*x^2-8*x-1),x, algorithm=""fricas"")","\frac{1}{108} \cdot 54^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(54^{\frac{3}{4}} {\left(8 \, x^{8} - 32 \, x^{7} + 48 \, x^{6} - 48 \, x^{5} + 62 \, x^{4} - 40 \, x^{3} + 10 \, x^{2} - 12 \, x + 7\right)} + 3 \cdot 54^{\frac{1}{4}} {\left(8 \, x^{8} - 32 \, x^{7} + 8 \, x^{6} + 32 \, x^{5} + 22 \, x^{4} - 40 \, x^{3} + 20 \, x^{2} - 32 \, x + 17\right)}\right)} \sqrt{7 \, \sqrt{6} - 12} + 20 \, {\left(54^{\frac{3}{4}} {\left(4 \, x^{7} - 12 \, x^{6} + 16 \, x^{5} - 16 \, x^{4} + 13 \, x^{3} - 7 \, x^{2} + 3 \, x - 1\right)} - 9 \cdot 54^{\frac{1}{4}} {\left(4 \, x^{5} - 4 \, x^{4} - x + 1\right)}\right)} \sqrt{-\frac{2 \, x^{2} - 1}{2 \, x^{2} + 1}}}{90 \, {\left(8 \, x^{8} - 32 \, x^{7} + 56 \, x^{6} - 64 \, x^{5} + 46 \, x^{4} - 40 \, x^{3} + 32 \, x^{2} - 8 \, x - 1\right)}}\right) - \frac{1}{432} \cdot 54^{\frac{3}{4}} \log\left(-\frac{54^{\frac{3}{4}} {\left(8 \, x^{8} - 32 \, x^{7} + 8 \, x^{6} + 32 \, x^{5} + 22 \, x^{4} - 40 \, x^{3} + 20 \, x^{2} - 32 \, x + 17\right)} + 36 \, {\left(24 \, x^{7} - 72 \, x^{6} + 84 \, x^{5} - 84 \, x^{4} + 78 \, x^{3} - 42 \, x^{2} + \sqrt{6} {\left(4 \, x^{7} - 12 \, x^{6} + 4 \, x^{5} - 4 \, x^{4} + 13 \, x^{3} - 7 \, x^{2} + 6 \, x - 4\right)} + 21 \, x - 9\right)} \sqrt{-\frac{2 \, x^{2} - 1}{2 \, x^{2} + 1}} + 18 \cdot 54^{\frac{1}{4}} {\left(8 \, x^{8} - 32 \, x^{7} + 48 \, x^{6} - 48 \, x^{5} + 62 \, x^{4} - 40 \, x^{3} + 10 \, x^{2} - 12 \, x + 7\right)}}{8 \, x^{8} - 32 \, x^{7} + 56 \, x^{6} - 64 \, x^{5} + 46 \, x^{4} - 40 \, x^{3} + 32 \, x^{2} - 8 \, x - 1}\right) + \frac{1}{432} \cdot 54^{\frac{3}{4}} \log\left(\frac{54^{\frac{3}{4}} {\left(8 \, x^{8} - 32 \, x^{7} + 8 \, x^{6} + 32 \, x^{5} + 22 \, x^{4} - 40 \, x^{3} + 20 \, x^{2} - 32 \, x + 17\right)} - 36 \, {\left(24 \, x^{7} - 72 \, x^{6} + 84 \, x^{5} - 84 \, x^{4} + 78 \, x^{3} - 42 \, x^{2} + \sqrt{6} {\left(4 \, x^{7} - 12 \, x^{6} + 4 \, x^{5} - 4 \, x^{4} + 13 \, x^{3} - 7 \, x^{2} + 6 \, x - 4\right)} + 21 \, x - 9\right)} \sqrt{-\frac{2 \, x^{2} - 1}{2 \, x^{2} + 1}} + 18 \cdot 54^{\frac{1}{4}} {\left(8 \, x^{8} - 32 \, x^{7} + 48 \, x^{6} - 48 \, x^{5} + 62 \, x^{4} - 40 \, x^{3} + 10 \, x^{2} - 12 \, x + 7\right)}}{8 \, x^{8} - 32 \, x^{7} + 56 \, x^{6} - 64 \, x^{5} + 46 \, x^{4} - 40 \, x^{3} + 32 \, x^{2} - 8 \, x - 1}\right)"," ",0,"1/108*54^(3/4)*arctan(1/90*(sqrt(2)*(54^(3/4)*(8*x^8 - 32*x^7 + 48*x^6 - 48*x^5 + 62*x^4 - 40*x^3 + 10*x^2 - 12*x + 7) + 3*54^(1/4)*(8*x^8 - 32*x^7 + 8*x^6 + 32*x^5 + 22*x^4 - 40*x^3 + 20*x^2 - 32*x + 17))*sqrt(7*sqrt(6) - 12) + 20*(54^(3/4)*(4*x^7 - 12*x^6 + 16*x^5 - 16*x^4 + 13*x^3 - 7*x^2 + 3*x - 1) - 9*54^(1/4)*(4*x^5 - 4*x^4 - x + 1))*sqrt(-(2*x^2 - 1)/(2*x^2 + 1)))/(8*x^8 - 32*x^7 + 56*x^6 - 64*x^5 + 46*x^4 - 40*x^3 + 32*x^2 - 8*x - 1)) - 1/432*54^(3/4)*log(-(54^(3/4)*(8*x^8 - 32*x^7 + 8*x^6 + 32*x^5 + 22*x^4 - 40*x^3 + 20*x^2 - 32*x + 17) + 36*(24*x^7 - 72*x^6 + 84*x^5 - 84*x^4 + 78*x^3 - 42*x^2 + sqrt(6)*(4*x^7 - 12*x^6 + 4*x^5 - 4*x^4 + 13*x^3 - 7*x^2 + 6*x - 4) + 21*x - 9)*sqrt(-(2*x^2 - 1)/(2*x^2 + 1)) + 18*54^(1/4)*(8*x^8 - 32*x^7 + 48*x^6 - 48*x^5 + 62*x^4 - 40*x^3 + 10*x^2 - 12*x + 7))/(8*x^8 - 32*x^7 + 56*x^6 - 64*x^5 + 46*x^4 - 40*x^3 + 32*x^2 - 8*x - 1)) + 1/432*54^(3/4)*log((54^(3/4)*(8*x^8 - 32*x^7 + 8*x^6 + 32*x^5 + 22*x^4 - 40*x^3 + 20*x^2 - 32*x + 17) - 36*(24*x^7 - 72*x^6 + 84*x^5 - 84*x^4 + 78*x^3 - 42*x^2 + sqrt(6)*(4*x^7 - 12*x^6 + 4*x^5 - 4*x^4 + 13*x^3 - 7*x^2 + 6*x - 4) + 21*x - 9)*sqrt(-(2*x^2 - 1)/(2*x^2 + 1)) + 18*54^(1/4)*(8*x^8 - 32*x^7 + 48*x^6 - 48*x^5 + 62*x^4 - 40*x^3 + 10*x^2 - 12*x + 7))/(8*x^8 - 32*x^7 + 56*x^6 - 64*x^5 + 46*x^4 - 40*x^3 + 32*x^2 - 8*x - 1))","B",0
1385,-1,0,0,0.000000," ","integrate((x^2+1)^(1/2)/(x^2+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1386,-1,0,0,0.000000," ","integrate((x^2+1)^(1/2)/(x^2+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1387,1,344,0,0.960603," ","integrate((k*x^2+1)/(c*k*x+k*x^2-1)/((-x^2+1)*(-k^2*x^2+1))^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-\frac{{\left({\left(2 \, c^{2} - 1\right)} k^{4} + 2 \, k^{3} - k^{2}\right)} x^{4} + 2 \, {\left(c k^{4} - 2 \, c k^{3} + c k^{2}\right)} x^{3} + {\left(2 \, c^{2} - 1\right)} k^{2} - {\left({\left(c^{2} - 2\right)} k^{4} + 2 \, {\left(c^{2} + 3\right)} k^{3} + {\left(c^{2} - 8\right)} k^{2} + 6 \, k - 2\right)} x^{2} + 2 \, \sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1} {\left(c k^{2} x^{2} - c k + {\left(k^{2} - 2 \, k + 1\right)} x\right)} \sqrt{{\left(c^{2} - 1\right)} k^{2} + 2 \, k - 1} - 2 \, {\left(c k^{3} - 2 \, c k^{2} + c k\right)} x + 2 \, k - 1}{2 \, c k^{2} x^{3} + k^{2} x^{4} - 2 \, c k x + {\left(c^{2} k^{2} - 2 \, k\right)} x^{2} + 1}\right)}{2 \, \sqrt{{\left(c^{2} - 1\right)} k^{2} + 2 \, k - 1}}, -\frac{\sqrt{-{\left(c^{2} - 1\right)} k^{2} - 2 \, k + 1} \arctan\left(\frac{\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1} \sqrt{-{\left(c^{2} - 1\right)} k^{2} - 2 \, k + 1}}{c k^{2} x^{2} - c k + {\left(k^{2} - 2 \, k + 1\right)} x}\right)}{{\left(c^{2} - 1\right)} k^{2} + 2 \, k - 1}\right]"," ",0,"[1/2*log(-(((2*c^2 - 1)*k^4 + 2*k^3 - k^2)*x^4 + 2*(c*k^4 - 2*c*k^3 + c*k^2)*x^3 + (2*c^2 - 1)*k^2 - ((c^2 - 2)*k^4 + 2*(c^2 + 3)*k^3 + (c^2 - 8)*k^2 + 6*k - 2)*x^2 + 2*sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)*(c*k^2*x^2 - c*k + (k^2 - 2*k + 1)*x)*sqrt((c^2 - 1)*k^2 + 2*k - 1) - 2*(c*k^3 - 2*c*k^2 + c*k)*x + 2*k - 1)/(2*c*k^2*x^3 + k^2*x^4 - 2*c*k*x + (c^2*k^2 - 2*k)*x^2 + 1))/sqrt((c^2 - 1)*k^2 + 2*k - 1), -sqrt(-(c^2 - 1)*k^2 - 2*k + 1)*arctan(sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)*sqrt(-(c^2 - 1)*k^2 - 2*k + 1)/(c*k^2*x^2 - c*k + (k^2 - 2*k + 1)*x))/((c^2 - 1)*k^2 + 2*k - 1)]","A",0
1388,1,342,0,0.944504," ","integrate((k*x^2-1)/(c*k*x+k*x^2+1)/((-x^2+1)*(-k^2*x^2+1))^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-\frac{{\left({\left(2 \, c^{2} - 1\right)} k^{4} - 2 \, k^{3} - k^{2}\right)} x^{4} + 2 \, {\left(c k^{4} + 2 \, c k^{3} + c k^{2}\right)} x^{3} + {\left(2 \, c^{2} - 1\right)} k^{2} - {\left({\left(c^{2} - 2\right)} k^{4} - 2 \, {\left(c^{2} + 3\right)} k^{3} + {\left(c^{2} - 8\right)} k^{2} - 6 \, k - 2\right)} x^{2} + 2 \, \sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1} {\left(c k^{2} x^{2} + c k + {\left(k^{2} + 2 \, k + 1\right)} x\right)} \sqrt{{\left(c^{2} - 1\right)} k^{2} - 2 \, k - 1} + 2 \, {\left(c k^{3} + 2 \, c k^{2} + c k\right)} x - 2 \, k - 1}{2 \, c k^{2} x^{3} + k^{2} x^{4} + 2 \, c k x + {\left(c^{2} k^{2} + 2 \, k\right)} x^{2} + 1}\right)}{2 \, \sqrt{{\left(c^{2} - 1\right)} k^{2} - 2 \, k - 1}}, -\frac{\sqrt{-{\left(c^{2} - 1\right)} k^{2} + 2 \, k + 1} \arctan\left(\frac{\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1} \sqrt{-{\left(c^{2} - 1\right)} k^{2} + 2 \, k + 1}}{c k^{2} x^{2} + c k + {\left(k^{2} + 2 \, k + 1\right)} x}\right)}{{\left(c^{2} - 1\right)} k^{2} - 2 \, k - 1}\right]"," ",0,"[1/2*log(-(((2*c^2 - 1)*k^4 - 2*k^3 - k^2)*x^4 + 2*(c*k^4 + 2*c*k^3 + c*k^2)*x^3 + (2*c^2 - 1)*k^2 - ((c^2 - 2)*k^4 - 2*(c^2 + 3)*k^3 + (c^2 - 8)*k^2 - 6*k - 2)*x^2 + 2*sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)*(c*k^2*x^2 + c*k + (k^2 + 2*k + 1)*x)*sqrt((c^2 - 1)*k^2 - 2*k - 1) + 2*(c*k^3 + 2*c*k^2 + c*k)*x - 2*k - 1)/(2*c*k^2*x^3 + k^2*x^4 + 2*c*k*x + (c^2*k^2 + 2*k)*x^2 + 1))/sqrt((c^2 - 1)*k^2 - 2*k - 1), -sqrt(-(c^2 - 1)*k^2 + 2*k + 1)*arctan(sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)*sqrt(-(c^2 - 1)*k^2 + 2*k + 1)/(c*k^2*x^2 + c*k + (k^2 + 2*k + 1)*x))/((c^2 - 1)*k^2 - 2*k - 1)]","A",0
1389,1,96,0,0.620804," ","integrate(x^2*(x^3+x)^(1/3),x, algorithm=""fricas"")","\frac{1}{18} \, \sqrt{3} \arctan\left(-\frac{196 \, \sqrt{3} {\left(x^{3} + x\right)}^{\frac{1}{3}} x - \sqrt{3} {\left(539 \, x^{2} + 507\right)} - 1274 \, \sqrt{3} {\left(x^{3} + x\right)}^{\frac{2}{3}}}{2205 \, x^{2} + 2197}\right) + \frac{1}{12} \, {\left(3 \, x^{3} + x\right)} {\left(x^{3} + x\right)}^{\frac{1}{3}} + \frac{1}{36} \, \log\left(3 \, {\left(x^{3} + x\right)}^{\frac{1}{3}} x - 3 \, {\left(x^{3} + x\right)}^{\frac{2}{3}} + 1\right)"," ",0,"1/18*sqrt(3)*arctan(-(196*sqrt(3)*(x^3 + x)^(1/3)*x - sqrt(3)*(539*x^2 + 507) - 1274*sqrt(3)*(x^3 + x)^(2/3))/(2205*x^2 + 2197)) + 1/12*(3*x^3 + x)*(x^3 + x)^(1/3) + 1/36*log(3*(x^3 + x)^(1/3)*x - 3*(x^3 + x)^(2/3) + 1)","A",0
1390,1,138,0,1.239183," ","integrate((x^2+2*x+6)/(x^2+2)^(1/3)/(x^3-2*x^2+3*x+1),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{2 \, \sqrt{3} {\left(x^{2} + 2\right)}^{\frac{2}{3}} {\left(x - 1\right)} + 2 \, \sqrt{3} {\left(x^{2} - 2 \, x + 1\right)} {\left(x^{2} + 2\right)}^{\frac{1}{3}} + \sqrt{3} {\left(x^{3} - 2 \, x^{2} + 3 \, x + 1\right)}}{3 \, {\left(x^{3} - 4 \, x^{2} + 3 \, x - 3\right)}}\right) + \frac{1}{2} \, \log\left(\frac{x^{3} - 2 \, x^{2} + 3 \, {\left(x^{2} + 2\right)}^{\frac{2}{3}} {\left(x - 1\right)} + 3 \, {\left(x^{2} - 2 \, x + 1\right)} {\left(x^{2} + 2\right)}^{\frac{1}{3}} + 3 \, x + 1}{x^{3} - 2 \, x^{2} + 3 \, x + 1}\right)"," ",0,"-sqrt(3)*arctan(1/3*(2*sqrt(3)*(x^2 + 2)^(2/3)*(x - 1) + 2*sqrt(3)*(x^2 - 2*x + 1)*(x^2 + 2)^(1/3) + sqrt(3)*(x^3 - 2*x^2 + 3*x + 1))/(x^3 - 4*x^2 + 3*x - 3)) + 1/2*log((x^3 - 2*x^2 + 3*(x^2 + 2)^(2/3)*(x - 1) + 3*(x^2 - 2*x + 1)*(x^2 + 2)^(1/3) + 3*x + 1)/(x^3 - 2*x^2 + 3*x + 1))","A",0
1391,1,102,0,0.438382," ","integrate((x^3+x^2)^(1/3)/x^2,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) - 2 \, x \log\left(-\frac{x - {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) + x \log\left(\frac{x^{2} + {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - 6 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{2 \, x}"," ",0,"1/2*(2*sqrt(3)*x*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + x^2)^(1/3))/x) - 2*x*log(-(x - (x^3 + x^2)^(1/3))/x) + x*log((x^2 + (x^3 + x^2)^(1/3)*x + (x^3 + x^2)^(2/3))/x^2) - 6*(x^3 + x^2)^(1/3))/x","A",0
1392,1,88,0,0.446294," ","integrate((x^4+1)^(1/3)*(x^4+3)/x^13,x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x^{12} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{4} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) + x^{12} \log\left({\left(x^{4} + 1\right)}^{\frac{2}{3}} + {\left(x^{4} + 1\right)}^{\frac{1}{3}} + 1\right) - 2 \, x^{12} \log\left({\left(x^{4} + 1\right)}^{\frac{1}{3}} - 1\right) - 3 \, {\left(x^{8} - 6 \, x^{4} - 9\right)} {\left(x^{4} + 1\right)}^{\frac{1}{3}}}{108 \, x^{12}}"," ",0,"-1/108*(2*sqrt(3)*x^12*arctan(2/3*sqrt(3)*(x^4 + 1)^(1/3) + 1/3*sqrt(3)) + x^12*log((x^4 + 1)^(2/3) + (x^4 + 1)^(1/3) + 1) - 2*x^12*log((x^4 + 1)^(1/3) - 1) - 3*(x^8 - 6*x^4 - 9)*(x^4 + 1)^(1/3))/x^12","A",0
1393,1,147,0,5.003947," ","integrate((x^4-1)^(2/3)*(x^4+3)*(x^4+x^3-1)/x^6/(x^4-x^3-1),x, algorithm=""fricas"")","-\frac{10 \, \sqrt{3} x^{5} \arctan\left(-\frac{14106128635054532 \, \sqrt{3} {\left(x^{4} - 1\right)}^{\frac{1}{3}} x^{2} - 89654043956484782 \, \sqrt{3} {\left(x^{4} - 1\right)}^{\frac{2}{3}} x - \sqrt{3} {\left(35416555940707109 \, x^{4} + 2357401720008016 \, x^{3} - 35416555940707109\right)}}{3 \, {\left(51678794422160641 \, x^{4} + 201291873609016 \, x^{3} - 51678794422160641\right)}}\right) - 5 \, x^{5} \log\left(\frac{x^{4} - x^{3} + 3 \, {\left(x^{4} - 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{4} - 1\right)}^{\frac{2}{3}} x - 1}{x^{4} - x^{3} - 1}\right) - 3 \, {\left(x^{4} + 5 \, x^{3} - 1\right)} {\left(x^{4} - 1\right)}^{\frac{2}{3}}}{5 \, x^{5}}"," ",0,"-1/5*(10*sqrt(3)*x^5*arctan(-1/3*(14106128635054532*sqrt(3)*(x^4 - 1)^(1/3)*x^2 - 89654043956484782*sqrt(3)*(x^4 - 1)^(2/3)*x - sqrt(3)*(35416555940707109*x^4 + 2357401720008016*x^3 - 35416555940707109))/(51678794422160641*x^4 + 201291873609016*x^3 - 51678794422160641)) - 5*x^5*log((x^4 - x^3 + 3*(x^4 - 1)^(1/3)*x^2 - 3*(x^4 - 1)^(2/3)*x - 1)/(x^4 - x^3 - 1)) - 3*(x^4 + 5*x^3 - 1)*(x^4 - 1)^(2/3))/x^5","A",0
1394,1,144,0,3.116008," ","integrate((x^4-3)*(x^4+1)^(2/3)*(x^4+x^3+1)/x^6/(x^4-x^3+1),x, algorithm=""fricas"")","-\frac{10 \, \sqrt{3} x^{5} \arctan\left(-\frac{13034 \, \sqrt{3} {\left(x^{4} + 1\right)}^{\frac{1}{3}} x^{2} - 686 \, \sqrt{3} {\left(x^{4} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(37 \, x^{4} + 6137 \, x^{3} + 37\right)}}{3 \, {\left(x^{4} + 6859 \, x^{3} + 1\right)}}\right) - 5 \, x^{5} \log\left(\frac{x^{4} - x^{3} + 3 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{4} + 1\right)}^{\frac{2}{3}} x + 1}{x^{4} - x^{3} + 1}\right) - 3 \, {\left(x^{4} + 5 \, x^{3} + 1\right)} {\left(x^{4} + 1\right)}^{\frac{2}{3}}}{5 \, x^{5}}"," ",0,"-1/5*(10*sqrt(3)*x^5*arctan(-1/3*(13034*sqrt(3)*(x^4 + 1)^(1/3)*x^2 - 686*sqrt(3)*(x^4 + 1)^(2/3)*x + sqrt(3)*(37*x^4 + 6137*x^3 + 37))/(x^4 + 6859*x^3 + 1)) - 5*x^5*log((x^4 - x^3 + 3*(x^4 + 1)^(1/3)*x^2 - 3*(x^4 + 1)^(2/3)*x + 1)/(x^4 - x^3 + 1)) - 3*(x^4 + 5*x^3 + 1)*(x^4 + 1)^(2/3))/x^5","A",0
1395,-1,0,0,0.000000," ","integrate((a*x^2-b)/(x^4+a*x^2+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1396,-1,0,0,0.000000," ","integrate((a*x^2-b)/(x^4+a*x^2+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1397,-2,0,0,0.000000," ","integrate((x^3-1)*(x^3+1)^(2/3)/x^3/(x^6-x^3-1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1398,-2,0,0,0.000000," ","integrate((x^3-1)*(x^3+1)^(2/3)/x^3/(x^6-x^3-1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1399,1,141,0,12.401571," ","integrate((2*x^7+1)^(1/3)*(8*x^7-3)/x^2/(2*x^7+x^3+1),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x \arctan\left(\frac{8377128467638 \, \sqrt{3} {\left(2 \, x^{7} + 1\right)}^{\frac{1}{3}} x^{2} + 15171948325814 \, \sqrt{3} {\left(2 \, x^{7} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(2102123379894 \, x^{7} + 4448471619035 \, x^{3} + 1051061689947\right)}}{60468559237154 \, x^{7} - 5089335571601 \, x^{3} + 30234279618577}\right) - x \log\left(\frac{2 \, x^{7} + x^{3} + 3 \, {\left(2 \, x^{7} + 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(2 \, x^{7} + 1\right)}^{\frac{2}{3}} x + 1}{2 \, x^{7} + x^{3} + 1}\right) + 6 \, {\left(2 \, x^{7} + 1\right)}^{\frac{1}{3}}}{2 \, x}"," ",0,"1/2*(2*sqrt(3)*x*arctan((8377128467638*sqrt(3)*(2*x^7 + 1)^(1/3)*x^2 + 15171948325814*sqrt(3)*(2*x^7 + 1)^(2/3)*x + sqrt(3)*(2102123379894*x^7 + 4448471619035*x^3 + 1051061689947))/(60468559237154*x^7 - 5089335571601*x^3 + 30234279618577)) - x*log((2*x^7 + x^3 + 3*(2*x^7 + 1)^(1/3)*x^2 + 3*(2*x^7 + 1)^(2/3)*x + 1)/(2*x^7 + x^3 + 1)) + 6*(2*x^7 + 1)^(1/3))/x","A",0
1400,-1,0,0,0.000000," ","integrate((2*a*x^4-b)/(a*x^4+b)^(1/4)/(x^8+a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1401,-1,0,0,0.000000," ","integrate((2*a*x^4-b)/(a*x^4+b)^(1/4)/(x^8+a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1402,1,94,0,3.359277," ","integrate((3*x^4-1)*(x^8+x^5+2*x^4+x+1)^(1/2)/x^2/(4*x^4+x+4),x, algorithm=""fricas"")","-\frac{\sqrt{3} x \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{4} - x + 2\right)}}{6 \, \sqrt{x^{8} + x^{5} + 2 \, x^{4} + x + 1}}\right) + x \log\left(\frac{2 \, x^{4} + x - 2 \, \sqrt{x^{8} + x^{5} + 2 \, x^{4} + x + 1} + 2}{x}\right) - 4 \, \sqrt{x^{8} + x^{5} + 2 \, x^{4} + x + 1}}{16 \, x}"," ",0,"-1/16*(sqrt(3)*x*arctan(1/6*sqrt(3)*(2*x^4 - x + 2)/sqrt(x^8 + x^5 + 2*x^4 + x + 1)) + x*log((2*x^4 + x - 2*sqrt(x^8 + x^5 + 2*x^4 + x + 1) + 2)/x) - 4*sqrt(x^8 + x^5 + 2*x^4 + x + 1))/x","A",0
1403,-1,0,0,0.000000," ","integrate((a*x^8+c*x^4-b)/x^2/(a*x^4-b)^(3/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1404,1,154,0,0.499764," ","integrate(1/(1+x)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-2 \, \sqrt{x + \sqrt{x^{2} + 1}} {\left(x - \sqrt{x^{2} + 1}\right)} - 4 \, \sqrt{\sqrt{2} - 1} \arctan\left(\sqrt{x + \sqrt{2} + \sqrt{x^{2} + 1} + 1} \sqrt{\sqrt{2} - 1} - \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{2} - 1}\right) - \sqrt{\sqrt{2} + 1} \log\left(2 \, \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) + \sqrt{\sqrt{2} + 1} \log\left(-2 \, \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}}\right)"," ",0,"-2*sqrt(x + sqrt(x^2 + 1))*(x - sqrt(x^2 + 1)) - 4*sqrt(sqrt(2) - 1)*arctan(sqrt(x + sqrt(2) + sqrt(x^2 + 1) + 1)*sqrt(sqrt(2) - 1) - sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(2) - 1)) - sqrt(sqrt(2) + 1)*log(2*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) + 2*sqrt(x + sqrt(x^2 + 1))) + sqrt(sqrt(2) + 1)*log(-2*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) + 2*sqrt(x + sqrt(x^2 + 1)))","B",0
1405,1,321,0,0.668486," ","integrate(1/x/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, b^{\frac{3}{2}} \arctan\left(\frac{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}{\sqrt{b}}\right) + b^{\frac{3}{2}} \log\left(\frac{b^{2} + \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} {\left({\left(a x - b\right)} \sqrt{b} - \sqrt{a^{2} x^{2} + b^{2}} \sqrt{b}\right)} + \sqrt{a^{2} x^{2} + b^{2}} b}{x}\right) - 2 \, \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} {\left(a x - \sqrt{a^{2} x^{2} + b^{2}}\right)}}{b^{2}}, \frac{2 \, \sqrt{-b} b \arctan\left(\frac{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} \sqrt{-b}}{b}\right) - \sqrt{-b} b \log\left(-\frac{b^{2} + \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} {\left({\left(a x + b\right)} \sqrt{-b} - \sqrt{a^{2} x^{2} + b^{2}} \sqrt{-b}\right)} - \sqrt{a^{2} x^{2} + b^{2}} b}{x}\right) - 2 \, \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} {\left(a x - \sqrt{a^{2} x^{2} + b^{2}}\right)}}{b^{2}}\right]"," ",0,"[(2*b^(3/2)*arctan(sqrt(a*x + sqrt(a^2*x^2 + b^2))/sqrt(b)) + b^(3/2)*log((b^2 + sqrt(a*x + sqrt(a^2*x^2 + b^2))*((a*x - b)*sqrt(b) - sqrt(a^2*x^2 + b^2)*sqrt(b)) + sqrt(a^2*x^2 + b^2)*b)/x) - 2*sqrt(a*x + sqrt(a^2*x^2 + b^2))*(a*x - sqrt(a^2*x^2 + b^2)))/b^2, (2*sqrt(-b)*b*arctan(sqrt(a*x + sqrt(a^2*x^2 + b^2))*sqrt(-b)/b) - sqrt(-b)*b*log(-(b^2 + sqrt(a*x + sqrt(a^2*x^2 + b^2))*((a*x + b)*sqrt(-b) - sqrt(a^2*x^2 + b^2)*sqrt(-b)) - sqrt(a^2*x^2 + b^2)*b)/x) - 2*sqrt(a*x + sqrt(a^2*x^2 + b^2))*(a*x - sqrt(a^2*x^2 + b^2)))/b^2]","A",0
1406,1,91,0,0.568236," ","integrate((-3+x)^6*(x^2-x-1)^(3/2)/(-1+x),x, algorithm=""fricas"")","\frac{1}{10321920} \, {\left(1146880 \, x^{8} - 23296000 \, x^{7} + 199009280 \, x^{6} - 910869760 \, x^{5} + 2304529024 \, x^{4} - 2700564848 \, x^{3} - 508033624 \, x^{2} + 4423205098 \, x - 1245336401\right)} \sqrt{x^{2} - x - 1} + 128 \, \arctan\left(-x + \sqrt{x^{2} - x - 1} + 1\right) + \frac{19451047}{65536} \, \log\left(-2 \, x + 2 \, \sqrt{x^{2} - x - 1} + 1\right)"," ",0,"1/10321920*(1146880*x^8 - 23296000*x^7 + 199009280*x^6 - 910869760*x^5 + 2304529024*x^4 - 2700564848*x^3 - 508033624*x^2 + 4423205098*x - 1245336401)*sqrt(x^2 - x - 1) + 128*arctan(-x + sqrt(x^2 - x - 1) + 1) + 19451047/65536*log(-2*x + 2*sqrt(x^2 - x - 1) + 1)","A",0
1407,1,112,0,0.691158," ","integrate((x^3-1)*(x^3+1)^(1/3)/x^5,x, algorithm=""fricas"")","-\frac{4 \, \sqrt{3} x^{4} \arctan\left(-\frac{25382 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 13720 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(5831 \, x^{3} + 7200\right)}}{58653 \, x^{3} + 8000}\right) + 2 \, x^{4} \log\left(3 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + 1\right) + 3 \, {\left(3 \, x^{3} - 1\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{12 \, x^{4}}"," ",0,"-1/12*(4*sqrt(3)*x^4*arctan(-(25382*sqrt(3)*(x^3 + 1)^(1/3)*x^2 - 13720*sqrt(3)*(x^3 + 1)^(2/3)*x + sqrt(3)*(5831*x^3 + 7200))/(58653*x^3 + 8000)) + 2*x^4*log(3*(x^3 + 1)^(1/3)*x^2 - 3*(x^3 + 1)^(2/3)*x + 1) + 3*(3*x^3 - 1)*(x^3 + 1)^(1/3))/x^4","A",0
1408,1,105,0,0.779183," ","integrate((x^3-1)*(x^3+1)^(1/3)/x^2,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x \arctan\left(-\frac{25382 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 13720 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(5831 \, x^{3} + 7200\right)}}{58653 \, x^{3} + 8000}\right) + x \log\left(3 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + 1\right) + 3 \, {\left(x^{3} + 3\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{9 \, x}"," ",0,"1/9*(2*sqrt(3)*x*arctan(-(25382*sqrt(3)*(x^3 + 1)^(1/3)*x^2 - 13720*sqrt(3)*(x^3 + 1)^(2/3)*x + sqrt(3)*(5831*x^3 + 7200))/(58653*x^3 + 8000)) + x*log(3*(x^3 + 1)^(1/3)*x^2 - 3*(x^3 + 1)^(2/3)*x + 1) + 3*(x^3 + 3)*(x^3 + 1)^(1/3))/x","A",0
1409,1,112,0,0.775571," ","integrate((x^3-1)^(1/3)*(x^3+1)/x^5,x, algorithm=""fricas"")","-\frac{4 \, \sqrt{3} x^{4} \arctan\left(-\frac{25382 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} - 13720 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(5831 \, x^{3} - 7200\right)}}{58653 \, x^{3} - 8000}\right) + 2 \, x^{4} \log\left(-3 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + 1\right) + 3 \, {\left(3 \, x^{3} + 1\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{12 \, x^{4}}"," ",0,"-1/12*(4*sqrt(3)*x^4*arctan(-(25382*sqrt(3)*(x^3 - 1)^(1/3)*x^2 - 13720*sqrt(3)*(x^3 - 1)^(2/3)*x + sqrt(3)*(5831*x^3 - 7200))/(58653*x^3 - 8000)) + 2*x^4*log(-3*(x^3 - 1)^(1/3)*x^2 + 3*(x^3 - 1)^(2/3)*x + 1) + 3*(3*x^3 + 1)*(x^3 - 1)^(1/3))/x^4","A",0
1410,1,2408,0,1.007946," ","integrate(x/(x^2+1)/(x^3-x^2-x)^(1/2),x, algorithm=""fricas"")","\frac{1}{160} \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} + \sqrt{2}\right)} \sqrt{-\sqrt{5} + 5} \log\left(\frac{5 \, {\left(5 \, x^{4} - 20 \, x^{3} + 2 \cdot 5^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(\sqrt{5} \sqrt{2} {\left(x^{2} - x - 1\right)} + 5 \, \sqrt{2} x\right)} \sqrt{-\sqrt{5} + 5} + 30 \, x^{2} + 20 \, \sqrt{5} {\left(x^{3} - x^{2} - x\right)} + 20 \, x + 5\right)}}{x^{4} + 2 \, x^{2} + 1}\right) - \frac{1}{160} \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} + \sqrt{2}\right)} \sqrt{-\sqrt{5} + 5} \log\left(\frac{5 \, {\left(5 \, x^{4} - 20 \, x^{3} - 2 \cdot 5^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(\sqrt{5} \sqrt{2} {\left(x^{2} - x - 1\right)} + 5 \, \sqrt{2} x\right)} \sqrt{-\sqrt{5} + 5} + 30 \, x^{2} + 20 \, \sqrt{5} {\left(x^{3} - x^{2} - x\right)} + 20 \, x + 5\right)}}{x^{4} + 2 \, x^{2} + 1}\right) + \frac{1}{20} \cdot 5^{\frac{1}{4}} \sqrt{2} \sqrt{-\sqrt{5} + 5} \arctan\left(-\frac{50 \, x^{11} + 650 \, x^{10} - 3350 \, x^{9} - 2200 \, x^{8} + 14200 \, x^{7} + 700 \, x^{6} - 14200 \, x^{5} - 2200 \, x^{4} + 3350 \, x^{3} + 650 \, x^{2} + 5 \, \sqrt{x^{3} - x^{2} - x} {\left(5^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(3 \, x^{9} - 10 \, x^{8} - 20 \, x^{7} + 54 \, x^{6} + 50 \, x^{5} - 54 \, x^{4} - 20 \, x^{3} + 10 \, x^{2} + 3 \, x\right)} - \sqrt{2} {\left(x^{10} - 7 \, x^{9} - 7 \, x^{8} + 76 \, x^{7} + 24 \, x^{6} - 186 \, x^{5} - 24 \, x^{4} + 76 \, x^{3} + 7 \, x^{2} - 7 \, x - 1\right)}\right)} + 2 \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{9} + 19 \, x^{8} - 52 \, x^{7} + 3 \, x^{6} + 70 \, x^{5} - 3 \, x^{4} - 52 \, x^{3} - 19 \, x^{2} + x\right)} - 5 \, \sqrt{2} {\left(x^{9} - x^{8} + 16 \, x^{7} - 33 \, x^{6} - 18 \, x^{5} + 33 \, x^{4} + 16 \, x^{3} + x^{2} + x\right)}\right)}\right)} \sqrt{-\sqrt{5} + 5} - \sqrt{5} {\left(120 \, x^{10} + 80 \, x^{9} - 840 \, x^{8} - 240 \, x^{7} + 1600 \, x^{6} + 240 \, x^{5} - 840 \, x^{4} - 80 \, x^{3} + 120 \, x^{2} + \sqrt{x^{3} - x^{2} - x} {\left(5^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{9} + 2 \, x^{8} + 24 \, x^{7} - 62 \, x^{6} - 50 \, x^{5} + 62 \, x^{4} + 24 \, x^{3} - 2 \, x^{2} + x\right)} - \sqrt{2} {\left(x^{10} - 7 \, x^{9} - 27 \, x^{8} + 96 \, x^{7} + 4 \, x^{6} - 146 \, x^{5} - 4 \, x^{4} + 96 \, x^{3} + 27 \, x^{2} - 7 \, x - 1\right)}\right)} + 2 \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{9} + 9 \, x^{8} - 42 \, x^{7} - 7 \, x^{6} + 90 \, x^{5} + 7 \, x^{4} - 42 \, x^{3} - 9 \, x^{2} + x\right)} - 5 \, \sqrt{2} {\left(x^{9} - 3 \, x^{8} - 14 \, x^{7} + 29 \, x^{6} + 18 \, x^{5} - 29 \, x^{4} - 14 \, x^{3} + 3 \, x^{2} + x\right)}\right)}\right)} \sqrt{-\sqrt{5} + 5} + 2 \, \sqrt{5} {\left(5 \, x^{11} - 25 \, x^{10} - 105 \, x^{9} + 440 \, x^{8} + 50 \, x^{7} - 830 \, x^{6} - 50 \, x^{5} + 440 \, x^{4} + 105 \, x^{3} - 25 \, x^{2} - \sqrt{5} {\left(x^{11} + 3 \, x^{10} - 37 \, x^{9} + 96 \, x^{8} - 6 \, x^{7} - 166 \, x^{6} + 6 \, x^{5} + 96 \, x^{4} + 37 \, x^{3} + 3 \, x^{2} - x\right)} - 5 \, x\right)} - 40 \, \sqrt{5} {\left(x^{10} + 6 \, x^{9} - 23 \, x^{8} - 2 \, x^{7} + 40 \, x^{6} + 2 \, x^{5} - 23 \, x^{4} - 6 \, x^{3} + x^{2}\right)}\right)} \sqrt{\frac{5 \, x^{4} - 20 \, x^{3} + 2 \cdot 5^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(\sqrt{5} \sqrt{2} {\left(x^{2} - x - 1\right)} + 5 \, \sqrt{2} x\right)} \sqrt{-\sqrt{5} + 5} + 30 \, x^{2} + 20 \, \sqrt{5} {\left(x^{3} - x^{2} - x\right)} + 20 \, x + 5}{x^{4} + 2 \, x^{2} + 1}} + 10 \, \sqrt{5} {\left(5 \, x^{11} - 15 \, x^{10} - 15 \, x^{9} + 20 \, x^{8} - 20 \, x^{7} + 70 \, x^{6} + 20 \, x^{5} + 20 \, x^{4} + 15 \, x^{3} - 15 \, x^{2} - \sqrt{5} {\left(x^{11} + 13 \, x^{10} - 67 \, x^{9} - 44 \, x^{8} + 284 \, x^{7} + 14 \, x^{6} - 284 \, x^{5} - 44 \, x^{4} + 67 \, x^{3} + 13 \, x^{2} - x\right)} - 5 \, x\right)} - 50 \, \sqrt{5} {\left(x^{11} - 3 \, x^{10} - 3 \, x^{9} + 4 \, x^{8} - 4 \, x^{7} + 14 \, x^{6} + 4 \, x^{5} + 4 \, x^{4} + 3 \, x^{3} - 3 \, x^{2} - x\right)} - 50 \, x}{100 \, {\left(x^{11} - 9 \, x^{10} - 45 \, x^{9} + 180 \, x^{8} + 18 \, x^{7} - 326 \, x^{6} - 18 \, x^{5} + 180 \, x^{4} + 45 \, x^{3} - 9 \, x^{2} - x\right)}}\right) + \frac{1}{20} \cdot 5^{\frac{1}{4}} \sqrt{2} \sqrt{-\sqrt{5} + 5} \arctan\left(\frac{50 \, x^{11} + 650 \, x^{10} - 3350 \, x^{9} - 2200 \, x^{8} + 14200 \, x^{7} + 700 \, x^{6} - 14200 \, x^{5} - 2200 \, x^{4} + 3350 \, x^{3} + 650 \, x^{2} - 5 \, \sqrt{x^{3} - x^{2} - x} {\left(5^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(3 \, x^{9} - 10 \, x^{8} - 20 \, x^{7} + 54 \, x^{6} + 50 \, x^{5} - 54 \, x^{4} - 20 \, x^{3} + 10 \, x^{2} + 3 \, x\right)} - \sqrt{2} {\left(x^{10} - 7 \, x^{9} - 7 \, x^{8} + 76 \, x^{7} + 24 \, x^{6} - 186 \, x^{5} - 24 \, x^{4} + 76 \, x^{3} + 7 \, x^{2} - 7 \, x - 1\right)}\right)} + 2 \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{9} + 19 \, x^{8} - 52 \, x^{7} + 3 \, x^{6} + 70 \, x^{5} - 3 \, x^{4} - 52 \, x^{3} - 19 \, x^{2} + x\right)} - 5 \, \sqrt{2} {\left(x^{9} - x^{8} + 16 \, x^{7} - 33 \, x^{6} - 18 \, x^{5} + 33 \, x^{4} + 16 \, x^{3} + x^{2} + x\right)}\right)}\right)} \sqrt{-\sqrt{5} + 5} - \sqrt{5} {\left(120 \, x^{10} + 80 \, x^{9} - 840 \, x^{8} - 240 \, x^{7} + 1600 \, x^{6} + 240 \, x^{5} - 840 \, x^{4} - 80 \, x^{3} + 120 \, x^{2} - \sqrt{x^{3} - x^{2} - x} {\left(5^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{9} + 2 \, x^{8} + 24 \, x^{7} - 62 \, x^{6} - 50 \, x^{5} + 62 \, x^{4} + 24 \, x^{3} - 2 \, x^{2} + x\right)} - \sqrt{2} {\left(x^{10} - 7 \, x^{9} - 27 \, x^{8} + 96 \, x^{7} + 4 \, x^{6} - 146 \, x^{5} - 4 \, x^{4} + 96 \, x^{3} + 27 \, x^{2} - 7 \, x - 1\right)}\right)} + 2 \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{9} + 9 \, x^{8} - 42 \, x^{7} - 7 \, x^{6} + 90 \, x^{5} + 7 \, x^{4} - 42 \, x^{3} - 9 \, x^{2} + x\right)} - 5 \, \sqrt{2} {\left(x^{9} - 3 \, x^{8} - 14 \, x^{7} + 29 \, x^{6} + 18 \, x^{5} - 29 \, x^{4} - 14 \, x^{3} + 3 \, x^{2} + x\right)}\right)}\right)} \sqrt{-\sqrt{5} + 5} + 2 \, \sqrt{5} {\left(5 \, x^{11} - 25 \, x^{10} - 105 \, x^{9} + 440 \, x^{8} + 50 \, x^{7} - 830 \, x^{6} - 50 \, x^{5} + 440 \, x^{4} + 105 \, x^{3} - 25 \, x^{2} - \sqrt{5} {\left(x^{11} + 3 \, x^{10} - 37 \, x^{9} + 96 \, x^{8} - 6 \, x^{7} - 166 \, x^{6} + 6 \, x^{5} + 96 \, x^{4} + 37 \, x^{3} + 3 \, x^{2} - x\right)} - 5 \, x\right)} - 40 \, \sqrt{5} {\left(x^{10} + 6 \, x^{9} - 23 \, x^{8} - 2 \, x^{7} + 40 \, x^{6} + 2 \, x^{5} - 23 \, x^{4} - 6 \, x^{3} + x^{2}\right)}\right)} \sqrt{\frac{5 \, x^{4} - 20 \, x^{3} - 2 \cdot 5^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(\sqrt{5} \sqrt{2} {\left(x^{2} - x - 1\right)} + 5 \, \sqrt{2} x\right)} \sqrt{-\sqrt{5} + 5} + 30 \, x^{2} + 20 \, \sqrt{5} {\left(x^{3} - x^{2} - x\right)} + 20 \, x + 5}{x^{4} + 2 \, x^{2} + 1}} + 10 \, \sqrt{5} {\left(5 \, x^{11} - 15 \, x^{10} - 15 \, x^{9} + 20 \, x^{8} - 20 \, x^{7} + 70 \, x^{6} + 20 \, x^{5} + 20 \, x^{4} + 15 \, x^{3} - 15 \, x^{2} - \sqrt{5} {\left(x^{11} + 13 \, x^{10} - 67 \, x^{9} - 44 \, x^{8} + 284 \, x^{7} + 14 \, x^{6} - 284 \, x^{5} - 44 \, x^{4} + 67 \, x^{3} + 13 \, x^{2} - x\right)} - 5 \, x\right)} - 50 \, \sqrt{5} {\left(x^{11} - 3 \, x^{10} - 3 \, x^{9} + 4 \, x^{8} - 4 \, x^{7} + 14 \, x^{6} + 4 \, x^{5} + 4 \, x^{4} + 3 \, x^{3} - 3 \, x^{2} - x\right)} - 50 \, x}{100 \, {\left(x^{11} - 9 \, x^{10} - 45 \, x^{9} + 180 \, x^{8} + 18 \, x^{7} - 326 \, x^{6} - 18 \, x^{5} + 180 \, x^{4} + 45 \, x^{3} - 9 \, x^{2} - x\right)}}\right)"," ",0,"1/160*5^(1/4)*(sqrt(5)*sqrt(2) + sqrt(2))*sqrt(-sqrt(5) + 5)*log(5*(5*x^4 - 20*x^3 + 2*5^(1/4)*sqrt(x^3 - x^2 - x)*(sqrt(5)*sqrt(2)*(x^2 - x - 1) + 5*sqrt(2)*x)*sqrt(-sqrt(5) + 5) + 30*x^2 + 20*sqrt(5)*(x^3 - x^2 - x) + 20*x + 5)/(x^4 + 2*x^2 + 1)) - 1/160*5^(1/4)*(sqrt(5)*sqrt(2) + sqrt(2))*sqrt(-sqrt(5) + 5)*log(5*(5*x^4 - 20*x^3 - 2*5^(1/4)*sqrt(x^3 - x^2 - x)*(sqrt(5)*sqrt(2)*(x^2 - x - 1) + 5*sqrt(2)*x)*sqrt(-sqrt(5) + 5) + 30*x^2 + 20*sqrt(5)*(x^3 - x^2 - x) + 20*x + 5)/(x^4 + 2*x^2 + 1)) + 1/20*5^(1/4)*sqrt(2)*sqrt(-sqrt(5) + 5)*arctan(-1/100*(50*x^11 + 650*x^10 - 3350*x^9 - 2200*x^8 + 14200*x^7 + 700*x^6 - 14200*x^5 - 2200*x^4 + 3350*x^3 + 650*x^2 + 5*sqrt(x^3 - x^2 - x)*(5^(3/4)*(sqrt(5)*sqrt(2)*(3*x^9 - 10*x^8 - 20*x^7 + 54*x^6 + 50*x^5 - 54*x^4 - 20*x^3 + 10*x^2 + 3*x) - sqrt(2)*(x^10 - 7*x^9 - 7*x^8 + 76*x^7 + 24*x^6 - 186*x^5 - 24*x^4 + 76*x^3 + 7*x^2 - 7*x - 1)) + 2*5^(1/4)*(sqrt(5)*sqrt(2)*(x^9 + 19*x^8 - 52*x^7 + 3*x^6 + 70*x^5 - 3*x^4 - 52*x^3 - 19*x^2 + x) - 5*sqrt(2)*(x^9 - x^8 + 16*x^7 - 33*x^6 - 18*x^5 + 33*x^4 + 16*x^3 + x^2 + x)))*sqrt(-sqrt(5) + 5) - sqrt(5)*(120*x^10 + 80*x^9 - 840*x^8 - 240*x^7 + 1600*x^6 + 240*x^5 - 840*x^4 - 80*x^3 + 120*x^2 + sqrt(x^3 - x^2 - x)*(5^(3/4)*(sqrt(5)*sqrt(2)*(x^9 + 2*x^8 + 24*x^7 - 62*x^6 - 50*x^5 + 62*x^4 + 24*x^3 - 2*x^2 + x) - sqrt(2)*(x^10 - 7*x^9 - 27*x^8 + 96*x^7 + 4*x^6 - 146*x^5 - 4*x^4 + 96*x^3 + 27*x^2 - 7*x - 1)) + 2*5^(1/4)*(sqrt(5)*sqrt(2)*(x^9 + 9*x^8 - 42*x^7 - 7*x^6 + 90*x^5 + 7*x^4 - 42*x^3 - 9*x^2 + x) - 5*sqrt(2)*(x^9 - 3*x^8 - 14*x^7 + 29*x^6 + 18*x^5 - 29*x^4 - 14*x^3 + 3*x^2 + x)))*sqrt(-sqrt(5) + 5) + 2*sqrt(5)*(5*x^11 - 25*x^10 - 105*x^9 + 440*x^8 + 50*x^7 - 830*x^6 - 50*x^5 + 440*x^4 + 105*x^3 - 25*x^2 - sqrt(5)*(x^11 + 3*x^10 - 37*x^9 + 96*x^8 - 6*x^7 - 166*x^6 + 6*x^5 + 96*x^4 + 37*x^3 + 3*x^2 - x) - 5*x) - 40*sqrt(5)*(x^10 + 6*x^9 - 23*x^8 - 2*x^7 + 40*x^6 + 2*x^5 - 23*x^4 - 6*x^3 + x^2))*sqrt((5*x^4 - 20*x^3 + 2*5^(1/4)*sqrt(x^3 - x^2 - x)*(sqrt(5)*sqrt(2)*(x^2 - x - 1) + 5*sqrt(2)*x)*sqrt(-sqrt(5) + 5) + 30*x^2 + 20*sqrt(5)*(x^3 - x^2 - x) + 20*x + 5)/(x^4 + 2*x^2 + 1)) + 10*sqrt(5)*(5*x^11 - 15*x^10 - 15*x^9 + 20*x^8 - 20*x^7 + 70*x^6 + 20*x^5 + 20*x^4 + 15*x^3 - 15*x^2 - sqrt(5)*(x^11 + 13*x^10 - 67*x^9 - 44*x^8 + 284*x^7 + 14*x^6 - 284*x^5 - 44*x^4 + 67*x^3 + 13*x^2 - x) - 5*x) - 50*sqrt(5)*(x^11 - 3*x^10 - 3*x^9 + 4*x^8 - 4*x^7 + 14*x^6 + 4*x^5 + 4*x^4 + 3*x^3 - 3*x^2 - x) - 50*x)/(x^11 - 9*x^10 - 45*x^9 + 180*x^8 + 18*x^7 - 326*x^6 - 18*x^5 + 180*x^4 + 45*x^3 - 9*x^2 - x)) + 1/20*5^(1/4)*sqrt(2)*sqrt(-sqrt(5) + 5)*arctan(1/100*(50*x^11 + 650*x^10 - 3350*x^9 - 2200*x^8 + 14200*x^7 + 700*x^6 - 14200*x^5 - 2200*x^4 + 3350*x^3 + 650*x^2 - 5*sqrt(x^3 - x^2 - x)*(5^(3/4)*(sqrt(5)*sqrt(2)*(3*x^9 - 10*x^8 - 20*x^7 + 54*x^6 + 50*x^5 - 54*x^4 - 20*x^3 + 10*x^2 + 3*x) - sqrt(2)*(x^10 - 7*x^9 - 7*x^8 + 76*x^7 + 24*x^6 - 186*x^5 - 24*x^4 + 76*x^3 + 7*x^2 - 7*x - 1)) + 2*5^(1/4)*(sqrt(5)*sqrt(2)*(x^9 + 19*x^8 - 52*x^7 + 3*x^6 + 70*x^5 - 3*x^4 - 52*x^3 - 19*x^2 + x) - 5*sqrt(2)*(x^9 - x^8 + 16*x^7 - 33*x^6 - 18*x^5 + 33*x^4 + 16*x^3 + x^2 + x)))*sqrt(-sqrt(5) + 5) - sqrt(5)*(120*x^10 + 80*x^9 - 840*x^8 - 240*x^7 + 1600*x^6 + 240*x^5 - 840*x^4 - 80*x^3 + 120*x^2 - sqrt(x^3 - x^2 - x)*(5^(3/4)*(sqrt(5)*sqrt(2)*(x^9 + 2*x^8 + 24*x^7 - 62*x^6 - 50*x^5 + 62*x^4 + 24*x^3 - 2*x^2 + x) - sqrt(2)*(x^10 - 7*x^9 - 27*x^8 + 96*x^7 + 4*x^6 - 146*x^5 - 4*x^4 + 96*x^3 + 27*x^2 - 7*x - 1)) + 2*5^(1/4)*(sqrt(5)*sqrt(2)*(x^9 + 9*x^8 - 42*x^7 - 7*x^6 + 90*x^5 + 7*x^4 - 42*x^3 - 9*x^2 + x) - 5*sqrt(2)*(x^9 - 3*x^8 - 14*x^7 + 29*x^6 + 18*x^5 - 29*x^4 - 14*x^3 + 3*x^2 + x)))*sqrt(-sqrt(5) + 5) + 2*sqrt(5)*(5*x^11 - 25*x^10 - 105*x^9 + 440*x^8 + 50*x^7 - 830*x^6 - 50*x^5 + 440*x^4 + 105*x^3 - 25*x^2 - sqrt(5)*(x^11 + 3*x^10 - 37*x^9 + 96*x^8 - 6*x^7 - 166*x^6 + 6*x^5 + 96*x^4 + 37*x^3 + 3*x^2 - x) - 5*x) - 40*sqrt(5)*(x^10 + 6*x^9 - 23*x^8 - 2*x^7 + 40*x^6 + 2*x^5 - 23*x^4 - 6*x^3 + x^2))*sqrt((5*x^4 - 20*x^3 - 2*5^(1/4)*sqrt(x^3 - x^2 - x)*(sqrt(5)*sqrt(2)*(x^2 - x - 1) + 5*sqrt(2)*x)*sqrt(-sqrt(5) + 5) + 30*x^2 + 20*sqrt(5)*(x^3 - x^2 - x) + 20*x + 5)/(x^4 + 2*x^2 + 1)) + 10*sqrt(5)*(5*x^11 - 15*x^10 - 15*x^9 + 20*x^8 - 20*x^7 + 70*x^6 + 20*x^5 + 20*x^4 + 15*x^3 - 15*x^2 - sqrt(5)*(x^11 + 13*x^10 - 67*x^9 - 44*x^8 + 284*x^7 + 14*x^6 - 284*x^5 - 44*x^4 + 67*x^3 + 13*x^2 - x) - 5*x) - 50*sqrt(5)*(x^11 - 3*x^10 - 3*x^9 + 4*x^8 - 4*x^7 + 14*x^6 + 4*x^5 + 4*x^4 + 3*x^3 - 3*x^2 - x) - 50*x)/(x^11 - 9*x^10 - 45*x^9 + 180*x^8 + 18*x^7 - 326*x^6 - 18*x^5 + 180*x^4 + 45*x^3 - 9*x^2 - x))","B",0
1411,1,2504,0,1.016532," ","integrate((x^2+x-1)/(x^2+1)/(x^3-x^2-x)^(1/2),x, algorithm=""fricas"")","\frac{1}{800} \cdot 125^{\frac{1}{4}} {\left(5 \, \sqrt{5} \sqrt{2} - 11 \, \sqrt{2}\right)} \sqrt{55 \, \sqrt{5} + 125} \log\left(\frac{25 \, {\left(25 \, x^{4} - 100 \, x^{3} + 2 \cdot 125^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(\sqrt{5} \sqrt{2} {\left(2 \, x^{2} - 7 \, x - 2\right)} - 5 \, \sqrt{2} {\left(x^{2} - 3 \, x - 1\right)}\right)} \sqrt{55 \, \sqrt{5} + 125} + 150 \, x^{2} + 100 \, \sqrt{5} {\left(x^{3} - x^{2} - x\right)} + 100 \, x + 25\right)}}{x^{4} + 2 \, x^{2} + 1}\right) - \frac{1}{800} \cdot 125^{\frac{1}{4}} {\left(5 \, \sqrt{5} \sqrt{2} - 11 \, \sqrt{2}\right)} \sqrt{55 \, \sqrt{5} + 125} \log\left(\frac{25 \, {\left(25 \, x^{4} - 100 \, x^{3} - 2 \cdot 125^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(\sqrt{5} \sqrt{2} {\left(2 \, x^{2} - 7 \, x - 2\right)} - 5 \, \sqrt{2} {\left(x^{2} - 3 \, x - 1\right)}\right)} \sqrt{55 \, \sqrt{5} + 125} + 150 \, x^{2} + 100 \, \sqrt{5} {\left(x^{3} - x^{2} - x\right)} + 100 \, x + 25\right)}}{x^{4} + 2 \, x^{2} + 1}\right) - \frac{1}{100} \cdot 125^{\frac{1}{4}} \sqrt{2} \sqrt{55 \, \sqrt{5} + 125} \arctan\left(-\frac{1250 \, x^{11} + 16250 \, x^{10} - 83750 \, x^{9} - 55000 \, x^{8} + 355000 \, x^{7} + 17500 \, x^{6} - 355000 \, x^{5} - 55000 \, x^{4} + 83750 \, x^{3} + 16250 \, x^{2} + 5 \, \sqrt{x^{3} - x^{2} - x} {\left(125^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{10} - x^{9} - 27 \, x^{8} + 36 \, x^{7} + 132 \, x^{6} - 86 \, x^{5} - 132 \, x^{4} + 36 \, x^{3} + 27 \, x^{2} - x - 1\right)} - \sqrt{2} {\left(2 \, x^{10} + x^{9} - 64 \, x^{8} + 52 \, x^{7} + 318 \, x^{6} - 122 \, x^{5} - 318 \, x^{4} + 52 \, x^{3} + 64 \, x^{2} + x - 2\right)}\right)} + 10 \cdot 125^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(7 \, x^{9} + 33 \, x^{8} - 24 \, x^{7} - 159 \, x^{6} + 50 \, x^{5} + 159 \, x^{4} - 24 \, x^{3} - 33 \, x^{2} + 7 \, x\right)} - 5 \, \sqrt{2} {\left(3 \, x^{9} + 17 \, x^{8} - 20 \, x^{7} - 63 \, x^{6} + 34 \, x^{5} + 63 \, x^{4} - 20 \, x^{3} - 17 \, x^{2} + 3 \, x\right)}\right)}\right)} \sqrt{55 \, \sqrt{5} + 125} + 250 \, \sqrt{5} {\left(5 \, x^{11} - 15 \, x^{10} - 15 \, x^{9} + 20 \, x^{8} - 20 \, x^{7} + 70 \, x^{6} + 20 \, x^{5} + 20 \, x^{4} + 15 \, x^{3} - 15 \, x^{2} - \sqrt{5} {\left(x^{11} + 13 \, x^{10} - 67 \, x^{9} - 44 \, x^{8} + 284 \, x^{7} + 14 \, x^{6} - 284 \, x^{5} - 44 \, x^{4} + 67 \, x^{3} + 13 \, x^{2} - x\right)} - 5 \, x\right)} - 1250 \, \sqrt{5} {\left(x^{11} - 3 \, x^{10} - 3 \, x^{9} + 4 \, x^{8} - 4 \, x^{7} + 14 \, x^{6} + 4 \, x^{5} + 4 \, x^{4} + 3 \, x^{3} - 3 \, x^{2} - x\right)} - {\left(3000 \, x^{10} + 2000 \, x^{9} - 21000 \, x^{8} - 6000 \, x^{7} + 40000 \, x^{6} + 6000 \, x^{5} - 21000 \, x^{4} - 2000 \, x^{3} + 3000 \, x^{2} + \sqrt{x^{3} - x^{2} - x} {\left(125^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{10} - 5 \, x^{9} - 23 \, x^{8} + 144 \, x^{7} - 120 \, x^{6} - 246 \, x^{5} + 120 \, x^{4} + 144 \, x^{3} + 23 \, x^{2} - 5 \, x - 1\right)} - \sqrt{2} {\left(2 \, x^{10} - 9 \, x^{9} - 44 \, x^{8} + 312 \, x^{7} - 302 \, x^{6} - 542 \, x^{5} + 302 \, x^{4} + 312 \, x^{3} + 44 \, x^{2} - 9 \, x - 2\right)}\right)} + 10 \cdot 125^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(7 \, x^{9} + 3 \, x^{8} - 154 \, x^{7} + 131 \, x^{6} + 270 \, x^{5} - 131 \, x^{4} - 154 \, x^{3} - 3 \, x^{2} + 7 \, x\right)} - 5 \, \sqrt{2} {\left(3 \, x^{9} + 3 \, x^{8} - 70 \, x^{7} + 51 \, x^{6} + 126 \, x^{5} - 51 \, x^{4} - 70 \, x^{3} - 3 \, x^{2} + 3 \, x\right)}\right)}\right)} \sqrt{55 \, \sqrt{5} + 125} + 50 \, \sqrt{5} {\left(5 \, x^{11} - 25 \, x^{10} - 105 \, x^{9} + 440 \, x^{8} + 50 \, x^{7} - 830 \, x^{6} - 50 \, x^{5} + 440 \, x^{4} + 105 \, x^{3} - 25 \, x^{2} - \sqrt{5} {\left(x^{11} + 3 \, x^{10} - 37 \, x^{9} + 96 \, x^{8} - 6 \, x^{7} - 166 \, x^{6} + 6 \, x^{5} + 96 \, x^{4} + 37 \, x^{3} + 3 \, x^{2} - x\right)} - 5 \, x\right)} - 1000 \, \sqrt{5} {\left(x^{10} + 6 \, x^{9} - 23 \, x^{8} - 2 \, x^{7} + 40 \, x^{6} + 2 \, x^{5} - 23 \, x^{4} - 6 \, x^{3} + x^{2}\right)}\right)} \sqrt{\frac{25 \, x^{4} - 100 \, x^{3} + 2 \cdot 125^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(\sqrt{5} \sqrt{2} {\left(2 \, x^{2} - 7 \, x - 2\right)} - 5 \, \sqrt{2} {\left(x^{2} - 3 \, x - 1\right)}\right)} \sqrt{55 \, \sqrt{5} + 125} + 150 \, x^{2} + 100 \, \sqrt{5} {\left(x^{3} - x^{2} - x\right)} + 100 \, x + 25}{x^{4} + 2 \, x^{2} + 1}} - 1250 \, x}{2500 \, {\left(x^{11} - 9 \, x^{10} - 45 \, x^{9} + 180 \, x^{8} + 18 \, x^{7} - 326 \, x^{6} - 18 \, x^{5} + 180 \, x^{4} + 45 \, x^{3} - 9 \, x^{2} - x\right)}}\right) - \frac{1}{100} \cdot 125^{\frac{1}{4}} \sqrt{2} \sqrt{55 \, \sqrt{5} + 125} \arctan\left(\frac{1250 \, x^{11} + 16250 \, x^{10} - 83750 \, x^{9} - 55000 \, x^{8} + 355000 \, x^{7} + 17500 \, x^{6} - 355000 \, x^{5} - 55000 \, x^{4} + 83750 \, x^{3} + 16250 \, x^{2} - 5 \, \sqrt{x^{3} - x^{2} - x} {\left(125^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{10} - x^{9} - 27 \, x^{8} + 36 \, x^{7} + 132 \, x^{6} - 86 \, x^{5} - 132 \, x^{4} + 36 \, x^{3} + 27 \, x^{2} - x - 1\right)} - \sqrt{2} {\left(2 \, x^{10} + x^{9} - 64 \, x^{8} + 52 \, x^{7} + 318 \, x^{6} - 122 \, x^{5} - 318 \, x^{4} + 52 \, x^{3} + 64 \, x^{2} + x - 2\right)}\right)} + 10 \cdot 125^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(7 \, x^{9} + 33 \, x^{8} - 24 \, x^{7} - 159 \, x^{6} + 50 \, x^{5} + 159 \, x^{4} - 24 \, x^{3} - 33 \, x^{2} + 7 \, x\right)} - 5 \, \sqrt{2} {\left(3 \, x^{9} + 17 \, x^{8} - 20 \, x^{7} - 63 \, x^{6} + 34 \, x^{5} + 63 \, x^{4} - 20 \, x^{3} - 17 \, x^{2} + 3 \, x\right)}\right)}\right)} \sqrt{55 \, \sqrt{5} + 125} + 250 \, \sqrt{5} {\left(5 \, x^{11} - 15 \, x^{10} - 15 \, x^{9} + 20 \, x^{8} - 20 \, x^{7} + 70 \, x^{6} + 20 \, x^{5} + 20 \, x^{4} + 15 \, x^{3} - 15 \, x^{2} - \sqrt{5} {\left(x^{11} + 13 \, x^{10} - 67 \, x^{9} - 44 \, x^{8} + 284 \, x^{7} + 14 \, x^{6} - 284 \, x^{5} - 44 \, x^{4} + 67 \, x^{3} + 13 \, x^{2} - x\right)} - 5 \, x\right)} - 1250 \, \sqrt{5} {\left(x^{11} - 3 \, x^{10} - 3 \, x^{9} + 4 \, x^{8} - 4 \, x^{7} + 14 \, x^{6} + 4 \, x^{5} + 4 \, x^{4} + 3 \, x^{3} - 3 \, x^{2} - x\right)} - {\left(3000 \, x^{10} + 2000 \, x^{9} - 21000 \, x^{8} - 6000 \, x^{7} + 40000 \, x^{6} + 6000 \, x^{5} - 21000 \, x^{4} - 2000 \, x^{3} + 3000 \, x^{2} - \sqrt{x^{3} - x^{2} - x} {\left(125^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{10} - 5 \, x^{9} - 23 \, x^{8} + 144 \, x^{7} - 120 \, x^{6} - 246 \, x^{5} + 120 \, x^{4} + 144 \, x^{3} + 23 \, x^{2} - 5 \, x - 1\right)} - \sqrt{2} {\left(2 \, x^{10} - 9 \, x^{9} - 44 \, x^{8} + 312 \, x^{7} - 302 \, x^{6} - 542 \, x^{5} + 302 \, x^{4} + 312 \, x^{3} + 44 \, x^{2} - 9 \, x - 2\right)}\right)} + 10 \cdot 125^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(7 \, x^{9} + 3 \, x^{8} - 154 \, x^{7} + 131 \, x^{6} + 270 \, x^{5} - 131 \, x^{4} - 154 \, x^{3} - 3 \, x^{2} + 7 \, x\right)} - 5 \, \sqrt{2} {\left(3 \, x^{9} + 3 \, x^{8} - 70 \, x^{7} + 51 \, x^{6} + 126 \, x^{5} - 51 \, x^{4} - 70 \, x^{3} - 3 \, x^{2} + 3 \, x\right)}\right)}\right)} \sqrt{55 \, \sqrt{5} + 125} + 50 \, \sqrt{5} {\left(5 \, x^{11} - 25 \, x^{10} - 105 \, x^{9} + 440 \, x^{8} + 50 \, x^{7} - 830 \, x^{6} - 50 \, x^{5} + 440 \, x^{4} + 105 \, x^{3} - 25 \, x^{2} - \sqrt{5} {\left(x^{11} + 3 \, x^{10} - 37 \, x^{9} + 96 \, x^{8} - 6 \, x^{7} - 166 \, x^{6} + 6 \, x^{5} + 96 \, x^{4} + 37 \, x^{3} + 3 \, x^{2} - x\right)} - 5 \, x\right)} - 1000 \, \sqrt{5} {\left(x^{10} + 6 \, x^{9} - 23 \, x^{8} - 2 \, x^{7} + 40 \, x^{6} + 2 \, x^{5} - 23 \, x^{4} - 6 \, x^{3} + x^{2}\right)}\right)} \sqrt{\frac{25 \, x^{4} - 100 \, x^{3} - 2 \cdot 125^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(\sqrt{5} \sqrt{2} {\left(2 \, x^{2} - 7 \, x - 2\right)} - 5 \, \sqrt{2} {\left(x^{2} - 3 \, x - 1\right)}\right)} \sqrt{55 \, \sqrt{5} + 125} + 150 \, x^{2} + 100 \, \sqrt{5} {\left(x^{3} - x^{2} - x\right)} + 100 \, x + 25}{x^{4} + 2 \, x^{2} + 1}} - 1250 \, x}{2500 \, {\left(x^{11} - 9 \, x^{10} - 45 \, x^{9} + 180 \, x^{8} + 18 \, x^{7} - 326 \, x^{6} - 18 \, x^{5} + 180 \, x^{4} + 45 \, x^{3} - 9 \, x^{2} - x\right)}}\right)"," ",0,"1/800*125^(1/4)*(5*sqrt(5)*sqrt(2) - 11*sqrt(2))*sqrt(55*sqrt(5) + 125)*log(25*(25*x^4 - 100*x^3 + 2*125^(1/4)*sqrt(x^3 - x^2 - x)*(sqrt(5)*sqrt(2)*(2*x^2 - 7*x - 2) - 5*sqrt(2)*(x^2 - 3*x - 1))*sqrt(55*sqrt(5) + 125) + 150*x^2 + 100*sqrt(5)*(x^3 - x^2 - x) + 100*x + 25)/(x^4 + 2*x^2 + 1)) - 1/800*125^(1/4)*(5*sqrt(5)*sqrt(2) - 11*sqrt(2))*sqrt(55*sqrt(5) + 125)*log(25*(25*x^4 - 100*x^3 - 2*125^(1/4)*sqrt(x^3 - x^2 - x)*(sqrt(5)*sqrt(2)*(2*x^2 - 7*x - 2) - 5*sqrt(2)*(x^2 - 3*x - 1))*sqrt(55*sqrt(5) + 125) + 150*x^2 + 100*sqrt(5)*(x^3 - x^2 - x) + 100*x + 25)/(x^4 + 2*x^2 + 1)) - 1/100*125^(1/4)*sqrt(2)*sqrt(55*sqrt(5) + 125)*arctan(-1/2500*(1250*x^11 + 16250*x^10 - 83750*x^9 - 55000*x^8 + 355000*x^7 + 17500*x^6 - 355000*x^5 - 55000*x^4 + 83750*x^3 + 16250*x^2 + 5*sqrt(x^3 - x^2 - x)*(125^(3/4)*(sqrt(5)*sqrt(2)*(x^10 - x^9 - 27*x^8 + 36*x^7 + 132*x^6 - 86*x^5 - 132*x^4 + 36*x^3 + 27*x^2 - x - 1) - sqrt(2)*(2*x^10 + x^9 - 64*x^8 + 52*x^7 + 318*x^6 - 122*x^5 - 318*x^4 + 52*x^3 + 64*x^2 + x - 2)) + 10*125^(1/4)*(sqrt(5)*sqrt(2)*(7*x^9 + 33*x^8 - 24*x^7 - 159*x^6 + 50*x^5 + 159*x^4 - 24*x^3 - 33*x^2 + 7*x) - 5*sqrt(2)*(3*x^9 + 17*x^8 - 20*x^7 - 63*x^6 + 34*x^5 + 63*x^4 - 20*x^3 - 17*x^2 + 3*x)))*sqrt(55*sqrt(5) + 125) + 250*sqrt(5)*(5*x^11 - 15*x^10 - 15*x^9 + 20*x^8 - 20*x^7 + 70*x^6 + 20*x^5 + 20*x^4 + 15*x^3 - 15*x^2 - sqrt(5)*(x^11 + 13*x^10 - 67*x^9 - 44*x^8 + 284*x^7 + 14*x^6 - 284*x^5 - 44*x^4 + 67*x^3 + 13*x^2 - x) - 5*x) - 1250*sqrt(5)*(x^11 - 3*x^10 - 3*x^9 + 4*x^8 - 4*x^7 + 14*x^6 + 4*x^5 + 4*x^4 + 3*x^3 - 3*x^2 - x) - (3000*x^10 + 2000*x^9 - 21000*x^8 - 6000*x^7 + 40000*x^6 + 6000*x^5 - 21000*x^4 - 2000*x^3 + 3000*x^2 + sqrt(x^3 - x^2 - x)*(125^(3/4)*(sqrt(5)*sqrt(2)*(x^10 - 5*x^9 - 23*x^8 + 144*x^7 - 120*x^6 - 246*x^5 + 120*x^4 + 144*x^3 + 23*x^2 - 5*x - 1) - sqrt(2)*(2*x^10 - 9*x^9 - 44*x^8 + 312*x^7 - 302*x^6 - 542*x^5 + 302*x^4 + 312*x^3 + 44*x^2 - 9*x - 2)) + 10*125^(1/4)*(sqrt(5)*sqrt(2)*(7*x^9 + 3*x^8 - 154*x^7 + 131*x^6 + 270*x^5 - 131*x^4 - 154*x^3 - 3*x^2 + 7*x) - 5*sqrt(2)*(3*x^9 + 3*x^8 - 70*x^7 + 51*x^6 + 126*x^5 - 51*x^4 - 70*x^3 - 3*x^2 + 3*x)))*sqrt(55*sqrt(5) + 125) + 50*sqrt(5)*(5*x^11 - 25*x^10 - 105*x^9 + 440*x^8 + 50*x^7 - 830*x^6 - 50*x^5 + 440*x^4 + 105*x^3 - 25*x^2 - sqrt(5)*(x^11 + 3*x^10 - 37*x^9 + 96*x^8 - 6*x^7 - 166*x^6 + 6*x^5 + 96*x^4 + 37*x^3 + 3*x^2 - x) - 5*x) - 1000*sqrt(5)*(x^10 + 6*x^9 - 23*x^8 - 2*x^7 + 40*x^6 + 2*x^5 - 23*x^4 - 6*x^3 + x^2))*sqrt((25*x^4 - 100*x^3 + 2*125^(1/4)*sqrt(x^3 - x^2 - x)*(sqrt(5)*sqrt(2)*(2*x^2 - 7*x - 2) - 5*sqrt(2)*(x^2 - 3*x - 1))*sqrt(55*sqrt(5) + 125) + 150*x^2 + 100*sqrt(5)*(x^3 - x^2 - x) + 100*x + 25)/(x^4 + 2*x^2 + 1)) - 1250*x)/(x^11 - 9*x^10 - 45*x^9 + 180*x^8 + 18*x^7 - 326*x^6 - 18*x^5 + 180*x^4 + 45*x^3 - 9*x^2 - x)) - 1/100*125^(1/4)*sqrt(2)*sqrt(55*sqrt(5) + 125)*arctan(1/2500*(1250*x^11 + 16250*x^10 - 83750*x^9 - 55000*x^8 + 355000*x^7 + 17500*x^6 - 355000*x^5 - 55000*x^4 + 83750*x^3 + 16250*x^2 - 5*sqrt(x^3 - x^2 - x)*(125^(3/4)*(sqrt(5)*sqrt(2)*(x^10 - x^9 - 27*x^8 + 36*x^7 + 132*x^6 - 86*x^5 - 132*x^4 + 36*x^3 + 27*x^2 - x - 1) - sqrt(2)*(2*x^10 + x^9 - 64*x^8 + 52*x^7 + 318*x^6 - 122*x^5 - 318*x^4 + 52*x^3 + 64*x^2 + x - 2)) + 10*125^(1/4)*(sqrt(5)*sqrt(2)*(7*x^9 + 33*x^8 - 24*x^7 - 159*x^6 + 50*x^5 + 159*x^4 - 24*x^3 - 33*x^2 + 7*x) - 5*sqrt(2)*(3*x^9 + 17*x^8 - 20*x^7 - 63*x^6 + 34*x^5 + 63*x^4 - 20*x^3 - 17*x^2 + 3*x)))*sqrt(55*sqrt(5) + 125) + 250*sqrt(5)*(5*x^11 - 15*x^10 - 15*x^9 + 20*x^8 - 20*x^7 + 70*x^6 + 20*x^5 + 20*x^4 + 15*x^3 - 15*x^2 - sqrt(5)*(x^11 + 13*x^10 - 67*x^9 - 44*x^8 + 284*x^7 + 14*x^6 - 284*x^5 - 44*x^4 + 67*x^3 + 13*x^2 - x) - 5*x) - 1250*sqrt(5)*(x^11 - 3*x^10 - 3*x^9 + 4*x^8 - 4*x^7 + 14*x^6 + 4*x^5 + 4*x^4 + 3*x^3 - 3*x^2 - x) - (3000*x^10 + 2000*x^9 - 21000*x^8 - 6000*x^7 + 40000*x^6 + 6000*x^5 - 21000*x^4 - 2000*x^3 + 3000*x^2 - sqrt(x^3 - x^2 - x)*(125^(3/4)*(sqrt(5)*sqrt(2)*(x^10 - 5*x^9 - 23*x^8 + 144*x^7 - 120*x^6 - 246*x^5 + 120*x^4 + 144*x^3 + 23*x^2 - 5*x - 1) - sqrt(2)*(2*x^10 - 9*x^9 - 44*x^8 + 312*x^7 - 302*x^6 - 542*x^5 + 302*x^4 + 312*x^3 + 44*x^2 - 9*x - 2)) + 10*125^(1/4)*(sqrt(5)*sqrt(2)*(7*x^9 + 3*x^8 - 154*x^7 + 131*x^6 + 270*x^5 - 131*x^4 - 154*x^3 - 3*x^2 + 7*x) - 5*sqrt(2)*(3*x^9 + 3*x^8 - 70*x^7 + 51*x^6 + 126*x^5 - 51*x^4 - 70*x^3 - 3*x^2 + 3*x)))*sqrt(55*sqrt(5) + 125) + 50*sqrt(5)*(5*x^11 - 25*x^10 - 105*x^9 + 440*x^8 + 50*x^7 - 830*x^6 - 50*x^5 + 440*x^4 + 105*x^3 - 25*x^2 - sqrt(5)*(x^11 + 3*x^10 - 37*x^9 + 96*x^8 - 6*x^7 - 166*x^6 + 6*x^5 + 96*x^4 + 37*x^3 + 3*x^2 - x) - 5*x) - 1000*sqrt(5)*(x^10 + 6*x^9 - 23*x^8 - 2*x^7 + 40*x^6 + 2*x^5 - 23*x^4 - 6*x^3 + x^2))*sqrt((25*x^4 - 100*x^3 - 2*125^(1/4)*sqrt(x^3 - x^2 - x)*(sqrt(5)*sqrt(2)*(2*x^2 - 7*x - 2) - 5*sqrt(2)*(x^2 - 3*x - 1))*sqrt(55*sqrt(5) + 125) + 150*x^2 + 100*sqrt(5)*(x^3 - x^2 - x) + 100*x + 25)/(x^4 + 2*x^2 + 1)) - 1250*x)/(x^11 - 9*x^10 - 45*x^9 + 180*x^8 + 18*x^7 - 326*x^6 - 18*x^5 + 180*x^4 + 45*x^3 - 9*x^2 - x))","B",0
1412,1,103,0,0.450923," ","integrate(x/(x^3+x^2)^(1/3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) + 2 \, x \log\left(-\frac{x - {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) - x \log\left(\frac{x^{2} + {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) + 6 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{6 \, x}"," ",0,"1/6*(2*sqrt(3)*x*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + x^2)^(1/3))/x) + 2*x*log(-(x - (x^3 + x^2)^(1/3))/x) - x*log((x^2 + (x^3 + x^2)^(1/3)*x + (x^3 + x^2)^(2/3))/x^2) + 6*(x^3 + x^2)^(2/3))/x","A",0
1413,1,1412,0,0.646372," ","integrate(1/x^6/(x^3+1)/(x^3+x^2)^(1/3),x, algorithm=""fricas"")","\frac{26180 \cdot 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{8} + x^{7}\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) \log\left(\frac{12 \, {\left(4 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 12 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{2} + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} + 6 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + 12 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - 104720 \cdot 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{8} + x^{7}\right)} \arctan\left(\frac{12 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{2} - 6 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} - \sqrt{3} {\left(2 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{2} - 6 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} x\right)} \sqrt{\frac{4 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 12 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{2} + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} + 6 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + 12 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 36 \, {\left(48 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{3} - {\left(12^{\frac{2}{3}} 6^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} + 24 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 108 \, \sqrt{3} x}{108 \, {\left(16 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{4} - 16 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{2} + x\right)}}\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 52360 \, {\left(12^{\frac{1}{6}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{8} + x^{7}\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) + 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{8} + x^{7}\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)\right)} \arctan\left(-\frac{12 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{2} - 6 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} - \sqrt{3} {\left(2 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{2} + 6 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} x\right)} \sqrt{\frac{4 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) + 12 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{2} + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} - 6 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + 12 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 36 \, {\left(48 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{3} + {\left(12^{\frac{2}{3}} 6^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} - 24 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) + 108 \, \sqrt{3} x}{108 \, {\left(16 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{4} - 16 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{2} + x\right)}}\right) - 52360 \, {\left(12^{\frac{1}{6}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{8} + x^{7}\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{8} + x^{7}\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)\right)} \arctan\left(\frac{144 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x \sqrt{-\frac{8 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} - 12 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{72 \, {\left(2 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{2} - x\right)}}\right) - 13090 \, {\left(12^{\frac{1}{6}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{8} + x^{7}\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) + 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{8} + x^{7}\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)\right)} \log\left(-\frac{48 \, {\left(8 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} - 12 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + 13090 \, {\left(12^{\frac{1}{6}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{8} + x^{7}\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{8} + x^{7}\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)\right)} \log\left(\frac{48 \, {\left(4 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) + 12 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{2} + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} - 6 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + 12 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + 9 \, {\left(109573 \, x^{6} + 19071 \, x^{5} - 6357 \, x^{4} + 20985 \, x^{3} - 900 \, x^{2} + 660 \, x - 9240\right)} {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{471240 \, {\left(x^{8} + x^{7}\right)}}"," ",0,"1/471240*(26180*12^(1/6)*6^(2/3)*(x^8 + x^7)*cos(2/3*arctan(sqrt(3) + 2))*log(12*(4*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) + 2))*sin(2/3*arctan(sqrt(3) + 2)) - 12*12^(1/3)*6^(1/3)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) + 2))^2 + 12^(2/3)*6^(2/3)*x^2 + 6*12^(1/3)*6^(1/3)*(x^3 + x^2)^(1/3)*x + 12*(x^3 + x^2)^(2/3))/x^2) - 104720*12^(1/6)*6^(2/3)*(x^8 + x^7)*arctan(1/108*(12*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 + x^2)^(1/3)*cos(2/3*arctan(sqrt(3) + 2))^2 - 6*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 + x^2)^(1/3) - sqrt(3)*(2*12^(2/3)*6^(2/3)*sqrt(3)*x*cos(2/3*arctan(sqrt(3) + 2))^2 - 6*12^(2/3)*6^(2/3)*x*cos(2/3*arctan(sqrt(3) + 2))*sin(2/3*arctan(sqrt(3) + 2)) - 12^(2/3)*6^(2/3)*sqrt(3)*x)*sqrt((4*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) + 2))*sin(2/3*arctan(sqrt(3) + 2)) - 12*12^(1/3)*6^(1/3)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) + 2))^2 + 12^(2/3)*6^(2/3)*x^2 + 6*12^(1/3)*6^(1/3)*(x^3 + x^2)^(1/3)*x + 12*(x^3 + x^2)^(2/3))/x^2) + 36*(48*x*cos(2/3*arctan(sqrt(3) + 2))^3 - (12^(2/3)*6^(2/3)*(x^3 + x^2)^(1/3) + 24*x)*cos(2/3*arctan(sqrt(3) + 2)))*sin(2/3*arctan(sqrt(3) + 2)) - 108*sqrt(3)*x)/(16*x*cos(2/3*arctan(sqrt(3) + 2))^4 - 16*x*cos(2/3*arctan(sqrt(3) + 2))^2 + x))*sin(2/3*arctan(sqrt(3) + 2)) - 52360*(12^(1/6)*6^(2/3)*sqrt(3)*(x^8 + x^7)*cos(2/3*arctan(sqrt(3) + 2)) + 12^(1/6)*6^(2/3)*(x^8 + x^7)*sin(2/3*arctan(sqrt(3) + 2)))*arctan(-1/108*(12*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 + x^2)^(1/3)*cos(2/3*arctan(sqrt(3) + 2))^2 - 6*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 + x^2)^(1/3) - sqrt(3)*(2*12^(2/3)*6^(2/3)*sqrt(3)*x*cos(2/3*arctan(sqrt(3) + 2))^2 + 6*12^(2/3)*6^(2/3)*x*cos(2/3*arctan(sqrt(3) + 2))*sin(2/3*arctan(sqrt(3) + 2)) - 12^(2/3)*6^(2/3)*sqrt(3)*x)*sqrt((4*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) + 2))*sin(2/3*arctan(sqrt(3) + 2)) + 12*12^(1/3)*6^(1/3)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) + 2))^2 + 12^(2/3)*6^(2/3)*x^2 - 6*12^(1/3)*6^(1/3)*(x^3 + x^2)^(1/3)*x + 12*(x^3 + x^2)^(2/3))/x^2) + 36*(48*x*cos(2/3*arctan(sqrt(3) + 2))^3 + (12^(2/3)*6^(2/3)*(x^3 + x^2)^(1/3) - 24*x)*cos(2/3*arctan(sqrt(3) + 2)))*sin(2/3*arctan(sqrt(3) + 2)) + 108*sqrt(3)*x)/(16*x*cos(2/3*arctan(sqrt(3) + 2))^4 - 16*x*cos(2/3*arctan(sqrt(3) + 2))^2 + x)) - 52360*(12^(1/6)*6^(2/3)*sqrt(3)*(x^8 + x^7)*cos(2/3*arctan(sqrt(3) + 2)) - 12^(1/6)*6^(2/3)*(x^8 + x^7)*sin(2/3*arctan(sqrt(3) + 2)))*arctan(1/72*(144*x*cos(2/3*arctan(sqrt(3) + 2))*sin(2/3*arctan(sqrt(3) + 2)) + 12^(2/3)*6^(2/3)*x*sqrt(-(8*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) + 2))*sin(2/3*arctan(sqrt(3) + 2)) - 12^(2/3)*6^(2/3)*x^2 - 12*(x^3 + x^2)^(2/3))/x^2) - 2*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 + x^2)^(1/3))/(2*x*cos(2/3*arctan(sqrt(3) + 2))^2 - x)) - 13090*(12^(1/6)*6^(2/3)*sqrt(3)*(x^8 + x^7)*sin(2/3*arctan(sqrt(3) + 2)) + 12^(1/6)*6^(2/3)*(x^8 + x^7)*cos(2/3*arctan(sqrt(3) + 2)))*log(-48*(8*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) + 2))*sin(2/3*arctan(sqrt(3) + 2)) - 12^(2/3)*6^(2/3)*x^2 - 12*(x^3 + x^2)^(2/3))/x^2) + 13090*(12^(1/6)*6^(2/3)*sqrt(3)*(x^8 + x^7)*sin(2/3*arctan(sqrt(3) + 2)) - 12^(1/6)*6^(2/3)*(x^8 + x^7)*cos(2/3*arctan(sqrt(3) + 2)))*log(48*(4*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) + 2))*sin(2/3*arctan(sqrt(3) + 2)) + 12*12^(1/3)*6^(1/3)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) + 2))^2 + 12^(2/3)*6^(2/3)*x^2 - 6*12^(1/3)*6^(1/3)*(x^3 + x^2)^(1/3)*x + 12*(x^3 + x^2)^(2/3))/x^2) + 9*(109573*x^6 + 19071*x^5 - 6357*x^4 + 20985*x^3 - 900*x^2 + 660*x - 9240)*(x^3 + x^2)^(2/3))/(x^8 + x^7)","B",0
1414,1,1412,0,0.645632," ","integrate(1/x^6/(x^3+1)/(x^3+x^2)^(1/3),x, algorithm=""fricas"")","\frac{26180 \cdot 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{8} + x^{7}\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) \log\left(\frac{12 \, {\left(4 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 12 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{2} + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} + 6 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + 12 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - 104720 \cdot 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{8} + x^{7}\right)} \arctan\left(\frac{12 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{2} - 6 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} - \sqrt{3} {\left(2 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{2} - 6 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} x\right)} \sqrt{\frac{4 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 12 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{2} + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} + 6 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + 12 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 36 \, {\left(48 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{3} - {\left(12^{\frac{2}{3}} 6^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} + 24 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 108 \, \sqrt{3} x}{108 \, {\left(16 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{4} - 16 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{2} + x\right)}}\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 52360 \, {\left(12^{\frac{1}{6}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{8} + x^{7}\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) + 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{8} + x^{7}\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)\right)} \arctan\left(-\frac{12 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{2} - 6 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} - \sqrt{3} {\left(2 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{2} + 6 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} x\right)} \sqrt{\frac{4 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) + 12 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{2} + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} - 6 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + 12 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 36 \, {\left(48 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{3} + {\left(12^{\frac{2}{3}} 6^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} - 24 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) + 108 \, \sqrt{3} x}{108 \, {\left(16 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{4} - 16 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{2} + x\right)}}\right) - 52360 \, {\left(12^{\frac{1}{6}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{8} + x^{7}\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{8} + x^{7}\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)\right)} \arctan\left(\frac{144 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x \sqrt{-\frac{8 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} - 12 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{72 \, {\left(2 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{2} - x\right)}}\right) - 13090 \, {\left(12^{\frac{1}{6}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{8} + x^{7}\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) + 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{8} + x^{7}\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)\right)} \log\left(-\frac{48 \, {\left(8 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} - 12 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + 13090 \, {\left(12^{\frac{1}{6}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{8} + x^{7}\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) - 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{8} + x^{7}\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)\right)} \log\left(\frac{48 \, {\left(4 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right) + 12 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} + 2\right)\right)^{2} + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} - 6 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + 12 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + 9 \, {\left(109573 \, x^{6} + 19071 \, x^{5} - 6357 \, x^{4} + 20985 \, x^{3} - 900 \, x^{2} + 660 \, x - 9240\right)} {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{471240 \, {\left(x^{8} + x^{7}\right)}}"," ",0,"1/471240*(26180*12^(1/6)*6^(2/3)*(x^8 + x^7)*cos(2/3*arctan(sqrt(3) + 2))*log(12*(4*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) + 2))*sin(2/3*arctan(sqrt(3) + 2)) - 12*12^(1/3)*6^(1/3)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) + 2))^2 + 12^(2/3)*6^(2/3)*x^2 + 6*12^(1/3)*6^(1/3)*(x^3 + x^2)^(1/3)*x + 12*(x^3 + x^2)^(2/3))/x^2) - 104720*12^(1/6)*6^(2/3)*(x^8 + x^7)*arctan(1/108*(12*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 + x^2)^(1/3)*cos(2/3*arctan(sqrt(3) + 2))^2 - 6*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 + x^2)^(1/3) - sqrt(3)*(2*12^(2/3)*6^(2/3)*sqrt(3)*x*cos(2/3*arctan(sqrt(3) + 2))^2 - 6*12^(2/3)*6^(2/3)*x*cos(2/3*arctan(sqrt(3) + 2))*sin(2/3*arctan(sqrt(3) + 2)) - 12^(2/3)*6^(2/3)*sqrt(3)*x)*sqrt((4*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) + 2))*sin(2/3*arctan(sqrt(3) + 2)) - 12*12^(1/3)*6^(1/3)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) + 2))^2 + 12^(2/3)*6^(2/3)*x^2 + 6*12^(1/3)*6^(1/3)*(x^3 + x^2)^(1/3)*x + 12*(x^3 + x^2)^(2/3))/x^2) + 36*(48*x*cos(2/3*arctan(sqrt(3) + 2))^3 - (12^(2/3)*6^(2/3)*(x^3 + x^2)^(1/3) + 24*x)*cos(2/3*arctan(sqrt(3) + 2)))*sin(2/3*arctan(sqrt(3) + 2)) - 108*sqrt(3)*x)/(16*x*cos(2/3*arctan(sqrt(3) + 2))^4 - 16*x*cos(2/3*arctan(sqrt(3) + 2))^2 + x))*sin(2/3*arctan(sqrt(3) + 2)) - 52360*(12^(1/6)*6^(2/3)*sqrt(3)*(x^8 + x^7)*cos(2/3*arctan(sqrt(3) + 2)) + 12^(1/6)*6^(2/3)*(x^8 + x^7)*sin(2/3*arctan(sqrt(3) + 2)))*arctan(-1/108*(12*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 + x^2)^(1/3)*cos(2/3*arctan(sqrt(3) + 2))^2 - 6*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 + x^2)^(1/3) - sqrt(3)*(2*12^(2/3)*6^(2/3)*sqrt(3)*x*cos(2/3*arctan(sqrt(3) + 2))^2 + 6*12^(2/3)*6^(2/3)*x*cos(2/3*arctan(sqrt(3) + 2))*sin(2/3*arctan(sqrt(3) + 2)) - 12^(2/3)*6^(2/3)*sqrt(3)*x)*sqrt((4*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) + 2))*sin(2/3*arctan(sqrt(3) + 2)) + 12*12^(1/3)*6^(1/3)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) + 2))^2 + 12^(2/3)*6^(2/3)*x^2 - 6*12^(1/3)*6^(1/3)*(x^3 + x^2)^(1/3)*x + 12*(x^3 + x^2)^(2/3))/x^2) + 36*(48*x*cos(2/3*arctan(sqrt(3) + 2))^3 + (12^(2/3)*6^(2/3)*(x^3 + x^2)^(1/3) - 24*x)*cos(2/3*arctan(sqrt(3) + 2)))*sin(2/3*arctan(sqrt(3) + 2)) + 108*sqrt(3)*x)/(16*x*cos(2/3*arctan(sqrt(3) + 2))^4 - 16*x*cos(2/3*arctan(sqrt(3) + 2))^2 + x)) - 52360*(12^(1/6)*6^(2/3)*sqrt(3)*(x^8 + x^7)*cos(2/3*arctan(sqrt(3) + 2)) - 12^(1/6)*6^(2/3)*(x^8 + x^7)*sin(2/3*arctan(sqrt(3) + 2)))*arctan(1/72*(144*x*cos(2/3*arctan(sqrt(3) + 2))*sin(2/3*arctan(sqrt(3) + 2)) + 12^(2/3)*6^(2/3)*x*sqrt(-(8*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) + 2))*sin(2/3*arctan(sqrt(3) + 2)) - 12^(2/3)*6^(2/3)*x^2 - 12*(x^3 + x^2)^(2/3))/x^2) - 2*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 + x^2)^(1/3))/(2*x*cos(2/3*arctan(sqrt(3) + 2))^2 - x)) - 13090*(12^(1/6)*6^(2/3)*sqrt(3)*(x^8 + x^7)*sin(2/3*arctan(sqrt(3) + 2)) + 12^(1/6)*6^(2/3)*(x^8 + x^7)*cos(2/3*arctan(sqrt(3) + 2)))*log(-48*(8*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) + 2))*sin(2/3*arctan(sqrt(3) + 2)) - 12^(2/3)*6^(2/3)*x^2 - 12*(x^3 + x^2)^(2/3))/x^2) + 13090*(12^(1/6)*6^(2/3)*sqrt(3)*(x^8 + x^7)*sin(2/3*arctan(sqrt(3) + 2)) - 12^(1/6)*6^(2/3)*(x^8 + x^7)*cos(2/3*arctan(sqrt(3) + 2)))*log(48*(4*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) + 2))*sin(2/3*arctan(sqrt(3) + 2)) + 12*12^(1/3)*6^(1/3)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) + 2))^2 + 12^(2/3)*6^(2/3)*x^2 - 6*12^(1/3)*6^(1/3)*(x^3 + x^2)^(1/3)*x + 12*(x^3 + x^2)^(2/3))/x^2) + 9*(109573*x^6 + 19071*x^5 - 6357*x^4 + 20985*x^3 - 900*x^2 + 660*x - 9240)*(x^3 + x^2)^(2/3))/(x^8 + x^7)","B",0
1415,1,112,0,0.688071," ","integrate((x^3-1)^(1/3)*(2*x^3-1)/x^5,x, algorithm=""fricas"")","-\frac{8 \, \sqrt{3} x^{4} \arctan\left(-\frac{25382 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} - 13720 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(5831 \, x^{3} - 7200\right)}}{58653 \, x^{3} - 8000}\right) + 4 \, x^{4} \log\left(-3 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + 1\right) + 3 \, {\left(9 \, x^{3} - 1\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{12 \, x^{4}}"," ",0,"-1/12*(8*sqrt(3)*x^4*arctan(-(25382*sqrt(3)*(x^3 - 1)^(1/3)*x^2 - 13720*sqrt(3)*(x^3 - 1)^(2/3)*x + sqrt(3)*(5831*x^3 - 7200))/(58653*x^3 - 8000)) + 4*x^4*log(-3*(x^3 - 1)^(1/3)*x^2 + 3*(x^3 - 1)^(2/3)*x + 1) + 3*(9*x^3 - 1)*(x^3 - 1)^(1/3))/x^4","A",0
1416,1,124,0,0.983858," ","integrate((x^3-1)^(2/3)*(3*x^3-1)/x^6/(2*x^3-1),x, algorithm=""fricas"")","-\frac{10 \, \sqrt{3} x^{5} \arctan\left(\frac{4 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 2 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(x^{3} - 1\right)}}{7 \, x^{3} + 1}\right) - 5 \, x^{5} \log\left(\frac{2 \, x^{3} + 3 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x - 1}{2 \, x^{3} - 1}\right) - 3 \, {\left(7 \, x^{3} - 2\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{30 \, x^{5}}"," ",0,"-1/30*(10*sqrt(3)*x^5*arctan((4*sqrt(3)*(x^3 - 1)^(1/3)*x^2 + 2*sqrt(3)*(x^3 - 1)^(2/3)*x + sqrt(3)*(x^3 - 1))/(7*x^3 + 1)) - 5*x^5*log((2*x^3 + 3*(x^3 - 1)^(1/3)*x^2 + 3*(x^3 - 1)^(2/3)*x - 1)/(2*x^3 - 1)) - 3*(7*x^3 - 2)*(x^3 - 1)^(2/3))/x^5","A",0
1417,1,311,0,1.814672," ","integrate(x^4/(x^4-1)^2/(x^4+x^2)^(1/4),x, algorithm=""fricas"")","\frac{20 \cdot 2^{\frac{3}{4}} {\left(x^{7} + x^{5} - x^{3} - x\right)} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{4} + x^{2}} x + 2^{\frac{1}{4}} {\left(3 \, x^{3} + x\right)}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{3} - x\right)}}\right) - 5 \cdot 2^{\frac{3}{4}} {\left(x^{7} + x^{5} - x^{3} - x\right)} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(3 \, x^{3} + x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{4} + x^{2}} x + 4 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{x^{3} - x}\right) + 5 \cdot 2^{\frac{3}{4}} {\left(x^{7} + x^{5} - x^{3} - x\right)} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(3 \, x^{3} + x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{4} + x^{2}} x + 4 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{x^{3} - x}\right) - 16 \, {\left(13 \, x^{4} + 2 \, x^{2} + 5\right)} {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{1280 \, {\left(x^{7} + x^{5} - x^{3} - x\right)}}"," ",0,"1/1280*(20*2^(3/4)*(x^7 + x^5 - x^3 - x)*arctan(1/2*(4*2^(3/4)*(x^4 + x^2)^(1/4)*x^2 + 2^(3/4)*(2*2^(3/4)*sqrt(x^4 + x^2)*x + 2^(1/4)*(3*x^3 + x)) + 4*2^(1/4)*(x^4 + x^2)^(3/4))/(x^3 - x)) - 5*2^(3/4)*(x^7 + x^5 - x^3 - x)*log((4*sqrt(2)*(x^4 + x^2)^(1/4)*x^2 + 2^(3/4)*(3*x^3 + x) + 4*2^(1/4)*sqrt(x^4 + x^2)*x + 4*(x^4 + x^2)^(3/4))/(x^3 - x)) + 5*2^(3/4)*(x^7 + x^5 - x^3 - x)*log((4*sqrt(2)*(x^4 + x^2)^(1/4)*x^2 - 2^(3/4)*(3*x^3 + x) - 4*2^(1/4)*sqrt(x^4 + x^2)*x + 4*(x^4 + x^2)^(3/4))/(x^3 - x)) - 16*(13*x^4 + 2*x^2 + 5)*(x^4 + x^2)^(3/4))/(x^7 + x^5 - x^3 - x)","B",0
1418,1,182,0,0.460121," ","integrate((x^2+1)*(x^4+x^3)^(1/4)/x^2/(x^2-1),x, algorithm=""fricas"")","\frac{4 \cdot 2^{\frac{1}{4}} x \arctan\left(\frac{2^{\frac{3}{4}} x \sqrt{\frac{\sqrt{2} x^{2} + \sqrt{x^{4} + x^{3}}}{x^{2}}} - 2^{\frac{3}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{2 \, x}\right) - 2^{\frac{1}{4}} x \log\left(\frac{2^{\frac{1}{4}} x + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 2^{\frac{1}{4}} x \log\left(-\frac{2^{\frac{1}{4}} x - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 2 \, x \arctan\left(\frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + x \log\left(\frac{x + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) - x \log\left(-\frac{x - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}"," ",0,"(4*2^(1/4)*x*arctan(1/2*(2^(3/4)*x*sqrt((sqrt(2)*x^2 + sqrt(x^4 + x^3))/x^2) - 2^(3/4)*(x^4 + x^3)^(1/4))/x) - 2^(1/4)*x*log((2^(1/4)*x + (x^4 + x^3)^(1/4))/x) + 2^(1/4)*x*log(-(2^(1/4)*x - (x^4 + x^3)^(1/4))/x) + 2*x*arctan((x^4 + x^3)^(1/4)/x) + x*log((x + (x^4 + x^3)^(1/4))/x) - x*log(-(x - (x^4 + x^3)^(1/4))/x) + 4*(x^4 + x^3)^(1/4))/x","B",0
1419,1,709,0,25.981393," ","integrate((x^3+4)*(x^4-x^3-1)/x^2/(x^3+1)^(3/4)/(x^4+x^3+1),x, algorithm=""fricas"")","\frac{4 \, \sqrt{2} x \arctan\left(-\frac{x^{8} + 2 \, x^{7} + x^{6} + 2 \, x^{4} + 2 \, x^{3} + 2 \, \sqrt{2} {\left(3 \, x^{5} - x^{4} - x\right)} {\left(x^{3} + 1\right)}^{\frac{3}{4}} + 2 \, \sqrt{2} {\left(x^{7} - 3 \, x^{6} - 3 \, x^{3}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{4}} + 4 \, {\left(x^{6} + x^{5} + x^{2}\right)} \sqrt{x^{3} + 1} - {\left(16 \, {\left(x^{3} + 1\right)}^{\frac{3}{4}} x^{5} + 2 \, \sqrt{2} {\left(3 \, x^{6} - x^{5} - x^{2}\right)} \sqrt{x^{3} + 1} + \sqrt{2} {\left(x^{8} + 8 \, x^{7} - x^{6} + 8 \, x^{4} - 2 \, x^{3} - 1\right)} + 4 \, {\left(x^{7} + x^{6} + x^{3}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{4} - 2 \, \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{1}{4}} x^{3} + x^{3} + 4 \, \sqrt{x^{3} + 1} x^{2} - 2 \, \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{3}{4}} x + 1}{x^{4} + x^{3} + 1}} + 1}{x^{8} - 14 \, x^{7} + x^{6} - 14 \, x^{4} + 2 \, x^{3} + 1}\right) - 4 \, \sqrt{2} x \arctan\left(-\frac{x^{8} + 2 \, x^{7} + x^{6} + 2 \, x^{4} + 2 \, x^{3} - 2 \, \sqrt{2} {\left(3 \, x^{5} - x^{4} - x\right)} {\left(x^{3} + 1\right)}^{\frac{3}{4}} - 2 \, \sqrt{2} {\left(x^{7} - 3 \, x^{6} - 3 \, x^{3}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{4}} + 4 \, {\left(x^{6} + x^{5} + x^{2}\right)} \sqrt{x^{3} + 1} - {\left(16 \, {\left(x^{3} + 1\right)}^{\frac{3}{4}} x^{5} - 2 \, \sqrt{2} {\left(3 \, x^{6} - x^{5} - x^{2}\right)} \sqrt{x^{3} + 1} - \sqrt{2} {\left(x^{8} + 8 \, x^{7} - x^{6} + 8 \, x^{4} - 2 \, x^{3} - 1\right)} + 4 \, {\left(x^{7} + x^{6} + x^{3}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{4} + 2 \, \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{1}{4}} x^{3} + x^{3} + 4 \, \sqrt{x^{3} + 1} x^{2} + 2 \, \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{3}{4}} x + 1}{x^{4} + x^{3} + 1}} + 1}{x^{8} - 14 \, x^{7} + x^{6} - 14 \, x^{4} + 2 \, x^{3} + 1}\right) - \sqrt{2} x \log\left(\frac{4 \, {\left(x^{4} + 2 \, \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{1}{4}} x^{3} + x^{3} + 4 \, \sqrt{x^{3} + 1} x^{2} + 2 \, \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{3}{4}} x + 1\right)}}{x^{4} + x^{3} + 1}\right) + \sqrt{2} x \log\left(\frac{4 \, {\left(x^{4} - 2 \, \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{1}{4}} x^{3} + x^{3} + 4 \, \sqrt{x^{3} + 1} x^{2} - 2 \, \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{3}{4}} x + 1\right)}}{x^{4} + x^{3} + 1}\right) + 8 \, {\left(x^{3} + 1\right)}^{\frac{1}{4}}}{2 \, x}"," ",0,"1/2*(4*sqrt(2)*x*arctan(-(x^8 + 2*x^7 + x^6 + 2*x^4 + 2*x^3 + 2*sqrt(2)*(3*x^5 - x^4 - x)*(x^3 + 1)^(3/4) + 2*sqrt(2)*(x^7 - 3*x^6 - 3*x^3)*(x^3 + 1)^(1/4) + 4*(x^6 + x^5 + x^2)*sqrt(x^3 + 1) - (16*(x^3 + 1)^(3/4)*x^5 + 2*sqrt(2)*(3*x^6 - x^5 - x^2)*sqrt(x^3 + 1) + sqrt(2)*(x^8 + 8*x^7 - x^6 + 8*x^4 - 2*x^3 - 1) + 4*(x^7 + x^6 + x^3)*(x^3 + 1)^(1/4))*sqrt((x^4 - 2*sqrt(2)*(x^3 + 1)^(1/4)*x^3 + x^3 + 4*sqrt(x^3 + 1)*x^2 - 2*sqrt(2)*(x^3 + 1)^(3/4)*x + 1)/(x^4 + x^3 + 1)) + 1)/(x^8 - 14*x^7 + x^6 - 14*x^4 + 2*x^3 + 1)) - 4*sqrt(2)*x*arctan(-(x^8 + 2*x^7 + x^6 + 2*x^4 + 2*x^3 - 2*sqrt(2)*(3*x^5 - x^4 - x)*(x^3 + 1)^(3/4) - 2*sqrt(2)*(x^7 - 3*x^6 - 3*x^3)*(x^3 + 1)^(1/4) + 4*(x^6 + x^5 + x^2)*sqrt(x^3 + 1) - (16*(x^3 + 1)^(3/4)*x^5 - 2*sqrt(2)*(3*x^6 - x^5 - x^2)*sqrt(x^3 + 1) - sqrt(2)*(x^8 + 8*x^7 - x^6 + 8*x^4 - 2*x^3 - 1) + 4*(x^7 + x^6 + x^3)*(x^3 + 1)^(1/4))*sqrt((x^4 + 2*sqrt(2)*(x^3 + 1)^(1/4)*x^3 + x^3 + 4*sqrt(x^3 + 1)*x^2 + 2*sqrt(2)*(x^3 + 1)^(3/4)*x + 1)/(x^4 + x^3 + 1)) + 1)/(x^8 - 14*x^7 + x^6 - 14*x^4 + 2*x^3 + 1)) - sqrt(2)*x*log(4*(x^4 + 2*sqrt(2)*(x^3 + 1)^(1/4)*x^3 + x^3 + 4*sqrt(x^3 + 1)*x^2 + 2*sqrt(2)*(x^3 + 1)^(3/4)*x + 1)/(x^4 + x^3 + 1)) + sqrt(2)*x*log(4*(x^4 - 2*sqrt(2)*(x^3 + 1)^(1/4)*x^3 + x^3 + 4*sqrt(x^3 + 1)*x^2 - 2*sqrt(2)*(x^3 + 1)^(3/4)*x + 1)/(x^4 + x^3 + 1)) + 8*(x^3 + 1)^(1/4))/x","B",0
1420,1,137,0,0.463390," ","integrate((2*x^4+x^2+1)/(x^2+1)^(1/4)/(x^4+3*x^2+2),x, algorithm=""fricas"")","\frac{14 \, {\left(x^{2} + 1\right)} \arctan\left(\frac{x + 2 \, {\left(x^{2} + 1\right)}^{\frac{1}{4}}}{x}\right) + 14 \, {\left(x^{2} + 1\right)} \arctan\left(-\frac{x - 2 \, {\left(x^{2} + 1\right)}^{\frac{1}{4}}}{x}\right) - 7 \, {\left(x^{2} + 1\right)} \log\left(\frac{x^{2} + 2 \, {\left(x^{2} + 1\right)}^{\frac{1}{4}} x + 2 \, \sqrt{x^{2} + 1}}{x^{2}}\right) + 7 \, {\left(x^{2} + 1\right)} \log\left(\frac{x^{2} - 2 \, {\left(x^{2} + 1\right)}^{\frac{1}{4}} x + 2 \, \sqrt{x^{2} + 1}}{x^{2}}\right) + 32 \, {\left(x^{2} + 1\right)}^{\frac{3}{4}} x}{8 \, {\left(x^{2} + 1\right)}}"," ",0,"1/8*(14*(x^2 + 1)*arctan((x + 2*(x^2 + 1)^(1/4))/x) + 14*(x^2 + 1)*arctan(-(x - 2*(x^2 + 1)^(1/4))/x) - 7*(x^2 + 1)*log((x^2 + 2*(x^2 + 1)^(1/4)*x + 2*sqrt(x^2 + 1))/x^2) + 7*(x^2 + 1)*log((x^2 - 2*(x^2 + 1)^(1/4)*x + 2*sqrt(x^2 + 1))/x^2) + 32*(x^2 + 1)^(3/4)*x)/(x^2 + 1)","A",0
1421,-1,0,0,0.000000," ","integrate((a*x^2-b)*(a*x^4-b*x^2)^(1/4)/x^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1422,-1,0,0,0.000000," ","integrate((a*x^4+b)/x^4/(a*x^4+2*b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1423,-1,0,0,0.000000," ","integrate((a*x^4+b)/x^4/(a*x^4+2*b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1424,1,216,0,2.184918," ","integrate((-x^4+1)/x^2/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{a} b x \log\left(\frac{8 \, a^{2} x^{4} + 8 \, a b x^{3} + 8 \, a b x + {\left(8 \, a^{2} + b^{2} + 4 \, a c\right)} x^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(2 \, a x^{2} + b x + 2 \, a\right)} \sqrt{a} + 8 \, a^{2}}{x^{2}}\right) - 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} a}{4 \, a^{2} x}, -\frac{\sqrt{-a} b x \arctan\left(\frac{2 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} \sqrt{-a}}{2 \, a x^{2} + b x + 2 \, a}\right) + 2 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} a}{2 \, a^{2} x}\right]"," ",0,"[1/4*(sqrt(a)*b*x*log((8*a^2*x^4 + 8*a*b*x^3 + 8*a*b*x + (8*a^2 + b^2 + 4*a*c)*x^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(2*a*x^2 + b*x + 2*a)*sqrt(a) + 8*a^2)/x^2) - 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*a)/(a^2*x), -1/2*(sqrt(-a)*b*x*arctan(2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*sqrt(-a)/(2*a*x^2 + b*x + 2*a)) + 2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*a)/(a^2*x)]","A",0
1425,1,526,0,24.306418," ","integrate((x^2-1)/(x^2+1)/(x^6+x^2)^(1/4),x, algorithm=""fricas"")","\frac{1}{2} \cdot 2^{\frac{1}{4}} \arctan\left(-\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \, \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)} \sqrt{\frac{x^{5} + 2 \, x^{3} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x}{x^{5} + 2 \, x^{3} + x}} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) + \frac{1}{2} \cdot 2^{\frac{1}{4}} \arctan\left(-\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \, \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)} \sqrt{\frac{x^{5} + 2 \, x^{3} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x - 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x}{x^{5} + 2 \, x^{3} + x}} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) - \frac{1}{8} \cdot 2^{\frac{1}{4}} \log\left(\frac{2 \, {\left(x^{5} + 2 \, x^{3} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x\right)}}{x^{5} + 2 \, x^{3} + x}\right) + \frac{1}{8} \cdot 2^{\frac{1}{4}} \log\left(\frac{2 \, {\left(x^{5} + 2 \, x^{3} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x - 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x\right)}}{x^{5} + 2 \, x^{3} + x}\right)"," ",0,"1/2*2^(1/4)*arctan(-1/2*(4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(2*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 4*sqrt(x^6 + x^2)*x + 2*2^(1/4)*(x^6 + x^2)^(3/4))*sqrt((x^5 + 2*x^3 + 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x + 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) + 2*2^(3/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 1/2*2^(1/4)*arctan(-1/2*(4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(2*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 4*sqrt(x^6 + x^2)*x + 2*2^(1/4)*(x^6 + x^2)^(3/4))*sqrt((x^5 + 2*x^3 - 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x - 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) + 2*2^(3/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) - 1/8*2^(1/4)*log(2*(x^5 + 2*x^3 + 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x + 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) + 1/8*2^(1/4)*log(2*(x^5 + 2*x^3 - 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x - 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x))","B",0
1426,1,526,0,24.199198," ","integrate((x^2-1)/(x^2+1)/(x^6+x^2)^(1/4),x, algorithm=""fricas"")","\frac{1}{2} \cdot 2^{\frac{1}{4}} \arctan\left(-\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \, \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)} \sqrt{\frac{x^{5} + 2 \, x^{3} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x}{x^{5} + 2 \, x^{3} + x}} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) + \frac{1}{2} \cdot 2^{\frac{1}{4}} \arctan\left(-\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \, \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)} \sqrt{\frac{x^{5} + 2 \, x^{3} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x - 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x}{x^{5} + 2 \, x^{3} + x}} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) - \frac{1}{8} \cdot 2^{\frac{1}{4}} \log\left(\frac{2 \, {\left(x^{5} + 2 \, x^{3} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x\right)}}{x^{5} + 2 \, x^{3} + x}\right) + \frac{1}{8} \cdot 2^{\frac{1}{4}} \log\left(\frac{2 \, {\left(x^{5} + 2 \, x^{3} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x - 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x\right)}}{x^{5} + 2 \, x^{3} + x}\right)"," ",0,"1/2*2^(1/4)*arctan(-1/2*(4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(2*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 4*sqrt(x^6 + x^2)*x + 2*2^(1/4)*(x^6 + x^2)^(3/4))*sqrt((x^5 + 2*x^3 + 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x + 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) + 2*2^(3/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 1/2*2^(1/4)*arctan(-1/2*(4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(2*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 4*sqrt(x^6 + x^2)*x + 2*2^(1/4)*(x^6 + x^2)^(3/4))*sqrt((x^5 + 2*x^3 - 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x - 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) + 2*2^(3/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) - 1/8*2^(1/4)*log(2*(x^5 + 2*x^3 + 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x + 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) + 1/8*2^(1/4)*log(2*(x^5 + 2*x^3 - 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x - 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x))","B",0
1427,1,129,0,0.449063," ","integrate((x^4-x^3)^(1/4)*(x^8-1)/x^4,x, algorithm=""fricas"")","-\frac{131670 \, x^{3} \arctan\left(\frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 65835 \, x^{3} \log\left(\frac{x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - 65835 \, x^{3} \log\left(-\frac{x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - 4 \, {\left(122880 \, x^{8} - 6144 \, x^{7} - 7296 \, x^{6} - 9120 \, x^{5} - 12540 \, x^{4} - 21945 \, x^{3} - 262144 \, x^{2} - 65536 \, x + 327680\right)} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{2949120 \, x^{3}}"," ",0,"-1/2949120*(131670*x^3*arctan((x^4 - x^3)^(1/4)/x) + 65835*x^3*log((x + (x^4 - x^3)^(1/4))/x) - 65835*x^3*log(-(x - (x^4 - x^3)^(1/4))/x) - 4*(122880*x^8 - 6144*x^7 - 7296*x^6 - 9120*x^5 - 12540*x^4 - 21945*x^3 - 262144*x^2 - 65536*x + 327680)*(x^4 - x^3)^(1/4))/x^3","A",0
1428,1,1214,0,11.908426," ","integrate((x^4+1)^(1/4)*(x^4+2)/x^2/(x^8+2*x^4-1),x, algorithm=""fricas"")","\frac{4 \, \sqrt{2} x {\left(1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}} \arctan\left(-\frac{{\left(\sqrt{2} {\left(69 \, x^{8} + 18 \, x^{4} + 2 \, {\left(1451 \, x^{6} - 601 \, x^{2} - \sqrt{2} {\left(1026 \, x^{6} - 425 \, x^{2}\right)}\right)} \sqrt{x^{4} + 1} \sqrt{1393 \, \sqrt{2} + 1970} - \sqrt{2} {\left(47 \, x^{8} + 8 \, x^{4} - 13\right)} - 17\right)} \sqrt{-{\left(2671 \, \sqrt{2} - 3778\right)} \sqrt{1393 \, \sqrt{2} + 1970}} - 196 \, {\left(7 \, x^{5} - \sqrt{2} {\left(5 \, x^{5} - 2 \, x\right)} - 3 \, x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} - 196 \, {\left(239 \, x^{7} - 99 \, x^{3} - \sqrt{2} {\left(169 \, x^{7} - 70 \, x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}} \sqrt{1393 \, \sqrt{2} + 1970}\right)} {\left(1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}}}{98 \, {\left(x^{8} + 2 \, x^{4} - 1\right)}}\right) + 4 \, \sqrt{2} x {\left(-1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(69 \, x^{8} + 18 \, x^{4} + 2 \, {\left(1451 \, x^{6} - 601 \, x^{2} + \sqrt{2} {\left(1026 \, x^{6} - 425 \, x^{2}\right)}\right)} \sqrt{x^{4} + 1} \sqrt{-1393 \, \sqrt{2} + 1970} + \sqrt{2} {\left(47 \, x^{8} + 8 \, x^{4} - 13\right)} - 17\right)} \sqrt{{\left(2671 \, \sqrt{2} + 3778\right)} \sqrt{-1393 \, \sqrt{2} + 1970}} {\left(-1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}} - 196 \, {\left({\left(7 \, x^{5} + \sqrt{2} {\left(5 \, x^{5} - 2 \, x\right)} - 3 \, x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + {\left(239 \, x^{7} - 99 \, x^{3} + \sqrt{2} {\left(169 \, x^{7} - 70 \, x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}} \sqrt{-1393 \, \sqrt{2} + 1970}\right)} {\left(-1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}}}{98 \, {\left(x^{8} + 2 \, x^{4} - 1\right)}}\right) + \sqrt{2} x {\left(-1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}} \log\left(\frac{4 \, {\left(11 \, x^{5} + \sqrt{2} {\left(6 \, x^{5} - 5 \, x\right)} - x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + 4 \, {\left(331 \, x^{7} - 137 \, x^{3} + \sqrt{2} {\left(234 \, x^{7} - 97 \, x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}} \sqrt{-1393 \, \sqrt{2} + 1970} + {\left(4 \, {\left(57 \, x^{6} - 23 \, x^{2} + \sqrt{2} {\left(40 \, x^{6} - 17 \, x^{2}\right)}\right)} \sqrt{x^{4} + 1} + {\left(10444 \, x^{8} + 2260 \, x^{4} + \sqrt{2} {\left(7385 \, x^{8} + 1598 \, x^{4} - 1929\right)} - 2728\right)} \sqrt{-1393 \, \sqrt{2} + 1970}\right)} {\left(-1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}}}{x^{8} + 2 \, x^{4} - 1}\right) - \sqrt{2} x {\left(-1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}} \log\left(\frac{4 \, {\left(11 \, x^{5} + \sqrt{2} {\left(6 \, x^{5} - 5 \, x\right)} - x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + 4 \, {\left(331 \, x^{7} - 137 \, x^{3} + \sqrt{2} {\left(234 \, x^{7} - 97 \, x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}} \sqrt{-1393 \, \sqrt{2} + 1970} - {\left(4 \, {\left(57 \, x^{6} - 23 \, x^{2} + \sqrt{2} {\left(40 \, x^{6} - 17 \, x^{2}\right)}\right)} \sqrt{x^{4} + 1} + {\left(10444 \, x^{8} + 2260 \, x^{4} + \sqrt{2} {\left(7385 \, x^{8} + 1598 \, x^{4} - 1929\right)} - 2728\right)} \sqrt{-1393 \, \sqrt{2} + 1970}\right)} {\left(-1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}}}{x^{8} + 2 \, x^{4} - 1}\right) - \sqrt{2} x {\left(1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}} \log\left(\frac{4 \, {\left(11 \, x^{5} - \sqrt{2} {\left(6 \, x^{5} - 5 \, x\right)} - x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + 4 \, {\left(331 \, x^{7} - 137 \, x^{3} - \sqrt{2} {\left(234 \, x^{7} - 97 \, x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}} \sqrt{1393 \, \sqrt{2} + 1970} + {\left(4 \, {\left(57 \, x^{6} - 23 \, x^{2} - \sqrt{2} {\left(40 \, x^{6} - 17 \, x^{2}\right)}\right)} \sqrt{x^{4} + 1} + {\left(10444 \, x^{8} + 2260 \, x^{4} - \sqrt{2} {\left(7385 \, x^{8} + 1598 \, x^{4} - 1929\right)} - 2728\right)} \sqrt{1393 \, \sqrt{2} + 1970}\right)} {\left(1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}}}{x^{8} + 2 \, x^{4} - 1}\right) + \sqrt{2} x {\left(1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}} \log\left(\frac{4 \, {\left(11 \, x^{5} - \sqrt{2} {\left(6 \, x^{5} - 5 \, x\right)} - x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + 4 \, {\left(331 \, x^{7} - 137 \, x^{3} - \sqrt{2} {\left(234 \, x^{7} - 97 \, x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}} \sqrt{1393 \, \sqrt{2} + 1970} - {\left(4 \, {\left(57 \, x^{6} - 23 \, x^{2} - \sqrt{2} {\left(40 \, x^{6} - 17 \, x^{2}\right)}\right)} \sqrt{x^{4} + 1} + {\left(10444 \, x^{8} + 2260 \, x^{4} - \sqrt{2} {\left(7385 \, x^{8} + 1598 \, x^{4} - 1929\right)} - 2728\right)} \sqrt{1393 \, \sqrt{2} + 1970}\right)} {\left(1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}}}{x^{8} + 2 \, x^{4} - 1}\right) + 64 \, {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{32 \, x}"," ",0,"1/32*(4*sqrt(2)*x*(1393*sqrt(2) + 1970)^(1/4)*arctan(-1/98*(sqrt(2)*(69*x^8 + 18*x^4 + 2*(1451*x^6 - 601*x^2 - sqrt(2)*(1026*x^6 - 425*x^2))*sqrt(x^4 + 1)*sqrt(1393*sqrt(2) + 1970) - sqrt(2)*(47*x^8 + 8*x^4 - 13) - 17)*sqrt(-(2671*sqrt(2) - 3778)*sqrt(1393*sqrt(2) + 1970)) - 196*(7*x^5 - sqrt(2)*(5*x^5 - 2*x) - 3*x)*(x^4 + 1)^(3/4) - 196*(239*x^7 - 99*x^3 - sqrt(2)*(169*x^7 - 70*x^3))*(x^4 + 1)^(1/4)*sqrt(1393*sqrt(2) + 1970))*(1393*sqrt(2) + 1970)^(1/4)/(x^8 + 2*x^4 - 1)) + 4*sqrt(2)*x*(-1393*sqrt(2) + 1970)^(1/4)*arctan(1/98*(sqrt(2)*(69*x^8 + 18*x^4 + 2*(1451*x^6 - 601*x^2 + sqrt(2)*(1026*x^6 - 425*x^2))*sqrt(x^4 + 1)*sqrt(-1393*sqrt(2) + 1970) + sqrt(2)*(47*x^8 + 8*x^4 - 13) - 17)*sqrt((2671*sqrt(2) + 3778)*sqrt(-1393*sqrt(2) + 1970))*(-1393*sqrt(2) + 1970)^(1/4) - 196*((7*x^5 + sqrt(2)*(5*x^5 - 2*x) - 3*x)*(x^4 + 1)^(3/4) + (239*x^7 - 99*x^3 + sqrt(2)*(169*x^7 - 70*x^3))*(x^4 + 1)^(1/4)*sqrt(-1393*sqrt(2) + 1970))*(-1393*sqrt(2) + 1970)^(1/4))/(x^8 + 2*x^4 - 1)) + sqrt(2)*x*(-1393*sqrt(2) + 1970)^(1/4)*log((4*(11*x^5 + sqrt(2)*(6*x^5 - 5*x) - x)*(x^4 + 1)^(3/4) + 4*(331*x^7 - 137*x^3 + sqrt(2)*(234*x^7 - 97*x^3))*(x^4 + 1)^(1/4)*sqrt(-1393*sqrt(2) + 1970) + (4*(57*x^6 - 23*x^2 + sqrt(2)*(40*x^6 - 17*x^2))*sqrt(x^4 + 1) + (10444*x^8 + 2260*x^4 + sqrt(2)*(7385*x^8 + 1598*x^4 - 1929) - 2728)*sqrt(-1393*sqrt(2) + 1970))*(-1393*sqrt(2) + 1970)^(1/4))/(x^8 + 2*x^4 - 1)) - sqrt(2)*x*(-1393*sqrt(2) + 1970)^(1/4)*log((4*(11*x^5 + sqrt(2)*(6*x^5 - 5*x) - x)*(x^4 + 1)^(3/4) + 4*(331*x^7 - 137*x^3 + sqrt(2)*(234*x^7 - 97*x^3))*(x^4 + 1)^(1/4)*sqrt(-1393*sqrt(2) + 1970) - (4*(57*x^6 - 23*x^2 + sqrt(2)*(40*x^6 - 17*x^2))*sqrt(x^4 + 1) + (10444*x^8 + 2260*x^4 + sqrt(2)*(7385*x^8 + 1598*x^4 - 1929) - 2728)*sqrt(-1393*sqrt(2) + 1970))*(-1393*sqrt(2) + 1970)^(1/4))/(x^8 + 2*x^4 - 1)) - sqrt(2)*x*(1393*sqrt(2) + 1970)^(1/4)*log((4*(11*x^5 - sqrt(2)*(6*x^5 - 5*x) - x)*(x^4 + 1)^(3/4) + 4*(331*x^7 - 137*x^3 - sqrt(2)*(234*x^7 - 97*x^3))*(x^4 + 1)^(1/4)*sqrt(1393*sqrt(2) + 1970) + (4*(57*x^6 - 23*x^2 - sqrt(2)*(40*x^6 - 17*x^2))*sqrt(x^4 + 1) + (10444*x^8 + 2260*x^4 - sqrt(2)*(7385*x^8 + 1598*x^4 - 1929) - 2728)*sqrt(1393*sqrt(2) + 1970))*(1393*sqrt(2) + 1970)^(1/4))/(x^8 + 2*x^4 - 1)) + sqrt(2)*x*(1393*sqrt(2) + 1970)^(1/4)*log((4*(11*x^5 - sqrt(2)*(6*x^5 - 5*x) - x)*(x^4 + 1)^(3/4) + 4*(331*x^7 - 137*x^3 - sqrt(2)*(234*x^7 - 97*x^3))*(x^4 + 1)^(1/4)*sqrt(1393*sqrt(2) + 1970) - (4*(57*x^6 - 23*x^2 - sqrt(2)*(40*x^6 - 17*x^2))*sqrt(x^4 + 1) + (10444*x^8 + 2260*x^4 - sqrt(2)*(7385*x^8 + 1598*x^4 - 1929) - 2728)*sqrt(1393*sqrt(2) + 1970))*(1393*sqrt(2) + 1970)^(1/4))/(x^8 + 2*x^4 - 1)) + 64*(x^4 + 1)^(1/4))/x","B",0
1429,1,1214,0,11.738905," ","integrate((x^4+1)^(1/4)*(x^4+2)/x^2/(x^8+2*x^4-1),x, algorithm=""fricas"")","\frac{4 \, \sqrt{2} x {\left(1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}} \arctan\left(-\frac{{\left(\sqrt{2} {\left(69 \, x^{8} + 18 \, x^{4} + 2 \, {\left(1451 \, x^{6} - 601 \, x^{2} - \sqrt{2} {\left(1026 \, x^{6} - 425 \, x^{2}\right)}\right)} \sqrt{x^{4} + 1} \sqrt{1393 \, \sqrt{2} + 1970} - \sqrt{2} {\left(47 \, x^{8} + 8 \, x^{4} - 13\right)} - 17\right)} \sqrt{-{\left(2671 \, \sqrt{2} - 3778\right)} \sqrt{1393 \, \sqrt{2} + 1970}} - 196 \, {\left(7 \, x^{5} - \sqrt{2} {\left(5 \, x^{5} - 2 \, x\right)} - 3 \, x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} - 196 \, {\left(239 \, x^{7} - 99 \, x^{3} - \sqrt{2} {\left(169 \, x^{7} - 70 \, x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}} \sqrt{1393 \, \sqrt{2} + 1970}\right)} {\left(1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}}}{98 \, {\left(x^{8} + 2 \, x^{4} - 1\right)}}\right) + 4 \, \sqrt{2} x {\left(-1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(69 \, x^{8} + 18 \, x^{4} + 2 \, {\left(1451 \, x^{6} - 601 \, x^{2} + \sqrt{2} {\left(1026 \, x^{6} - 425 \, x^{2}\right)}\right)} \sqrt{x^{4} + 1} \sqrt{-1393 \, \sqrt{2} + 1970} + \sqrt{2} {\left(47 \, x^{8} + 8 \, x^{4} - 13\right)} - 17\right)} \sqrt{{\left(2671 \, \sqrt{2} + 3778\right)} \sqrt{-1393 \, \sqrt{2} + 1970}} {\left(-1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}} - 196 \, {\left({\left(7 \, x^{5} + \sqrt{2} {\left(5 \, x^{5} - 2 \, x\right)} - 3 \, x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + {\left(239 \, x^{7} - 99 \, x^{3} + \sqrt{2} {\left(169 \, x^{7} - 70 \, x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}} \sqrt{-1393 \, \sqrt{2} + 1970}\right)} {\left(-1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}}}{98 \, {\left(x^{8} + 2 \, x^{4} - 1\right)}}\right) + \sqrt{2} x {\left(-1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}} \log\left(\frac{4 \, {\left(11 \, x^{5} + \sqrt{2} {\left(6 \, x^{5} - 5 \, x\right)} - x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + 4 \, {\left(331 \, x^{7} - 137 \, x^{3} + \sqrt{2} {\left(234 \, x^{7} - 97 \, x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}} \sqrt{-1393 \, \sqrt{2} + 1970} + {\left(4 \, {\left(57 \, x^{6} - 23 \, x^{2} + \sqrt{2} {\left(40 \, x^{6} - 17 \, x^{2}\right)}\right)} \sqrt{x^{4} + 1} + {\left(10444 \, x^{8} + 2260 \, x^{4} + \sqrt{2} {\left(7385 \, x^{8} + 1598 \, x^{4} - 1929\right)} - 2728\right)} \sqrt{-1393 \, \sqrt{2} + 1970}\right)} {\left(-1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}}}{x^{8} + 2 \, x^{4} - 1}\right) - \sqrt{2} x {\left(-1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}} \log\left(\frac{4 \, {\left(11 \, x^{5} + \sqrt{2} {\left(6 \, x^{5} - 5 \, x\right)} - x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + 4 \, {\left(331 \, x^{7} - 137 \, x^{3} + \sqrt{2} {\left(234 \, x^{7} - 97 \, x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}} \sqrt{-1393 \, \sqrt{2} + 1970} - {\left(4 \, {\left(57 \, x^{6} - 23 \, x^{2} + \sqrt{2} {\left(40 \, x^{6} - 17 \, x^{2}\right)}\right)} \sqrt{x^{4} + 1} + {\left(10444 \, x^{8} + 2260 \, x^{4} + \sqrt{2} {\left(7385 \, x^{8} + 1598 \, x^{4} - 1929\right)} - 2728\right)} \sqrt{-1393 \, \sqrt{2} + 1970}\right)} {\left(-1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}}}{x^{8} + 2 \, x^{4} - 1}\right) - \sqrt{2} x {\left(1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}} \log\left(\frac{4 \, {\left(11 \, x^{5} - \sqrt{2} {\left(6 \, x^{5} - 5 \, x\right)} - x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + 4 \, {\left(331 \, x^{7} - 137 \, x^{3} - \sqrt{2} {\left(234 \, x^{7} - 97 \, x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}} \sqrt{1393 \, \sqrt{2} + 1970} + {\left(4 \, {\left(57 \, x^{6} - 23 \, x^{2} - \sqrt{2} {\left(40 \, x^{6} - 17 \, x^{2}\right)}\right)} \sqrt{x^{4} + 1} + {\left(10444 \, x^{8} + 2260 \, x^{4} - \sqrt{2} {\left(7385 \, x^{8} + 1598 \, x^{4} - 1929\right)} - 2728\right)} \sqrt{1393 \, \sqrt{2} + 1970}\right)} {\left(1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}}}{x^{8} + 2 \, x^{4} - 1}\right) + \sqrt{2} x {\left(1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}} \log\left(\frac{4 \, {\left(11 \, x^{5} - \sqrt{2} {\left(6 \, x^{5} - 5 \, x\right)} - x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + 4 \, {\left(331 \, x^{7} - 137 \, x^{3} - \sqrt{2} {\left(234 \, x^{7} - 97 \, x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}} \sqrt{1393 \, \sqrt{2} + 1970} - {\left(4 \, {\left(57 \, x^{6} - 23 \, x^{2} - \sqrt{2} {\left(40 \, x^{6} - 17 \, x^{2}\right)}\right)} \sqrt{x^{4} + 1} + {\left(10444 \, x^{8} + 2260 \, x^{4} - \sqrt{2} {\left(7385 \, x^{8} + 1598 \, x^{4} - 1929\right)} - 2728\right)} \sqrt{1393 \, \sqrt{2} + 1970}\right)} {\left(1393 \, \sqrt{2} + 1970\right)}^{\frac{1}{4}}}{x^{8} + 2 \, x^{4} - 1}\right) + 64 \, {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{32 \, x}"," ",0,"1/32*(4*sqrt(2)*x*(1393*sqrt(2) + 1970)^(1/4)*arctan(-1/98*(sqrt(2)*(69*x^8 + 18*x^4 + 2*(1451*x^6 - 601*x^2 - sqrt(2)*(1026*x^6 - 425*x^2))*sqrt(x^4 + 1)*sqrt(1393*sqrt(2) + 1970) - sqrt(2)*(47*x^8 + 8*x^4 - 13) - 17)*sqrt(-(2671*sqrt(2) - 3778)*sqrt(1393*sqrt(2) + 1970)) - 196*(7*x^5 - sqrt(2)*(5*x^5 - 2*x) - 3*x)*(x^4 + 1)^(3/4) - 196*(239*x^7 - 99*x^3 - sqrt(2)*(169*x^7 - 70*x^3))*(x^4 + 1)^(1/4)*sqrt(1393*sqrt(2) + 1970))*(1393*sqrt(2) + 1970)^(1/4)/(x^8 + 2*x^4 - 1)) + 4*sqrt(2)*x*(-1393*sqrt(2) + 1970)^(1/4)*arctan(1/98*(sqrt(2)*(69*x^8 + 18*x^4 + 2*(1451*x^6 - 601*x^2 + sqrt(2)*(1026*x^6 - 425*x^2))*sqrt(x^4 + 1)*sqrt(-1393*sqrt(2) + 1970) + sqrt(2)*(47*x^8 + 8*x^4 - 13) - 17)*sqrt((2671*sqrt(2) + 3778)*sqrt(-1393*sqrt(2) + 1970))*(-1393*sqrt(2) + 1970)^(1/4) - 196*((7*x^5 + sqrt(2)*(5*x^5 - 2*x) - 3*x)*(x^4 + 1)^(3/4) + (239*x^7 - 99*x^3 + sqrt(2)*(169*x^7 - 70*x^3))*(x^4 + 1)^(1/4)*sqrt(-1393*sqrt(2) + 1970))*(-1393*sqrt(2) + 1970)^(1/4))/(x^8 + 2*x^4 - 1)) + sqrt(2)*x*(-1393*sqrt(2) + 1970)^(1/4)*log((4*(11*x^5 + sqrt(2)*(6*x^5 - 5*x) - x)*(x^4 + 1)^(3/4) + 4*(331*x^7 - 137*x^3 + sqrt(2)*(234*x^7 - 97*x^3))*(x^4 + 1)^(1/4)*sqrt(-1393*sqrt(2) + 1970) + (4*(57*x^6 - 23*x^2 + sqrt(2)*(40*x^6 - 17*x^2))*sqrt(x^4 + 1) + (10444*x^8 + 2260*x^4 + sqrt(2)*(7385*x^8 + 1598*x^4 - 1929) - 2728)*sqrt(-1393*sqrt(2) + 1970))*(-1393*sqrt(2) + 1970)^(1/4))/(x^8 + 2*x^4 - 1)) - sqrt(2)*x*(-1393*sqrt(2) + 1970)^(1/4)*log((4*(11*x^5 + sqrt(2)*(6*x^5 - 5*x) - x)*(x^4 + 1)^(3/4) + 4*(331*x^7 - 137*x^3 + sqrt(2)*(234*x^7 - 97*x^3))*(x^4 + 1)^(1/4)*sqrt(-1393*sqrt(2) + 1970) - (4*(57*x^6 - 23*x^2 + sqrt(2)*(40*x^6 - 17*x^2))*sqrt(x^4 + 1) + (10444*x^8 + 2260*x^4 + sqrt(2)*(7385*x^8 + 1598*x^4 - 1929) - 2728)*sqrt(-1393*sqrt(2) + 1970))*(-1393*sqrt(2) + 1970)^(1/4))/(x^8 + 2*x^4 - 1)) - sqrt(2)*x*(1393*sqrt(2) + 1970)^(1/4)*log((4*(11*x^5 - sqrt(2)*(6*x^5 - 5*x) - x)*(x^4 + 1)^(3/4) + 4*(331*x^7 - 137*x^3 - sqrt(2)*(234*x^7 - 97*x^3))*(x^4 + 1)^(1/4)*sqrt(1393*sqrt(2) + 1970) + (4*(57*x^6 - 23*x^2 - sqrt(2)*(40*x^6 - 17*x^2))*sqrt(x^4 + 1) + (10444*x^8 + 2260*x^4 - sqrt(2)*(7385*x^8 + 1598*x^4 - 1929) - 2728)*sqrt(1393*sqrt(2) + 1970))*(1393*sqrt(2) + 1970)^(1/4))/(x^8 + 2*x^4 - 1)) + sqrt(2)*x*(1393*sqrt(2) + 1970)^(1/4)*log((4*(11*x^5 - sqrt(2)*(6*x^5 - 5*x) - x)*(x^4 + 1)^(3/4) + 4*(331*x^7 - 137*x^3 - sqrt(2)*(234*x^7 - 97*x^3))*(x^4 + 1)^(1/4)*sqrt(1393*sqrt(2) + 1970) - (4*(57*x^6 - 23*x^2 - sqrt(2)*(40*x^6 - 17*x^2))*sqrt(x^4 + 1) + (10444*x^8 + 2260*x^4 - sqrt(2)*(7385*x^8 + 1598*x^4 - 1929) - 2728)*sqrt(1393*sqrt(2) + 1970))*(1393*sqrt(2) + 1970)^(1/4))/(x^8 + 2*x^4 - 1)) + 64*(x^4 + 1)^(1/4))/x","B",0
1430,-1,0,0,0.000000," ","integrate((2*a*x^4-b)/(a*x^4-b)^(1/4)/(a*x^8-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1431,1,1041,0,1.136911," ","integrate((2*x^6+1)^(1/2)*(4*x^6-1)/(8*x^12+8*x^6+x^4+2),x, algorithm=""fricas"")","\frac{1}{32} \cdot 8^{\frac{3}{4}} \sqrt{2} \arctan\left(-\frac{128 \, x^{24} + 256 \, x^{18} + 32 \, x^{16} + 192 \, x^{12} + 32 \, x^{10} + 2 \, x^{8} + 64 \, x^{6} + 8 \, x^{4} + 8 \, \sqrt{2} {\left(16 \, x^{20} + 24 \, x^{14} + 2 \, x^{12} + 12 \, x^{8} + x^{6} + 2 \, x^{2}\right)} + \sqrt{2 \, x^{6} + 1} {\left(8^{\frac{3}{4}} \sqrt{2} {\left(24 \, x^{15} + 24 \, x^{9} - x^{7} + 6 \, x^{3}\right)} + 4 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(16 \, x^{19} + 24 \, x^{13} - 6 \, x^{11} + 12 \, x^{7} - 3 \, x^{5} + 2 \, x\right)}\right)} - {\left(8^{\frac{3}{4}} \sqrt{2} {\left(16 \, x^{20} + 24 \, x^{14} - 6 \, x^{12} + 12 \, x^{8} - 3 \, x^{6} + 2 \, x^{2}\right)} + 8^{\frac{1}{4}} \sqrt{2} {\left(64 \, x^{24} + 128 \, x^{18} - 64 \, x^{16} + 96 \, x^{12} - 64 \, x^{10} - x^{8} + 32 \, x^{6} - 16 \, x^{4} + 4\right)} + 8 \, {\left(8 \, x^{15} + 8 \, x^{9} + x^{7} + 2 \, x^{3} + 4 \, \sqrt{2} {\left(2 \, x^{11} + x^{5}\right)}\right)} \sqrt{2 \, x^{6} + 1}\right)} \sqrt{\frac{16 \, x^{8} + 8 \, x^{2} + \sqrt{2} {\left(8 \, x^{12} + 8 \, x^{6} + x^{4} + 2\right)} + \sqrt{2 \, x^{6} + 1} {\left(2 \cdot 8^{\frac{1}{4}} \sqrt{2} x^{3} + 8^{\frac{3}{4}} \sqrt{2} {\left(2 \, x^{7} + x\right)}\right)}}{8 \, x^{12} + 8 \, x^{6} + x^{4} + 2}} + 8}{2 \, {\left(64 \, x^{24} + 128 \, x^{18} - 112 \, x^{16} + 96 \, x^{12} - 112 \, x^{10} + x^{8} + 32 \, x^{6} - 28 \, x^{4} + 4\right)}}\right) - \frac{1}{32} \cdot 8^{\frac{3}{4}} \sqrt{2} \arctan\left(-\frac{128 \, x^{24} + 256 \, x^{18} + 32 \, x^{16} + 192 \, x^{12} + 32 \, x^{10} + 2 \, x^{8} + 64 \, x^{6} + 8 \, x^{4} + 8 \, \sqrt{2} {\left(16 \, x^{20} + 24 \, x^{14} + 2 \, x^{12} + 12 \, x^{8} + x^{6} + 2 \, x^{2}\right)} - \sqrt{2 \, x^{6} + 1} {\left(8^{\frac{3}{4}} \sqrt{2} {\left(24 \, x^{15} + 24 \, x^{9} - x^{7} + 6 \, x^{3}\right)} + 4 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(16 \, x^{19} + 24 \, x^{13} - 6 \, x^{11} + 12 \, x^{7} - 3 \, x^{5} + 2 \, x\right)}\right)} + {\left(8^{\frac{3}{4}} \sqrt{2} {\left(16 \, x^{20} + 24 \, x^{14} - 6 \, x^{12} + 12 \, x^{8} - 3 \, x^{6} + 2 \, x^{2}\right)} + 8^{\frac{1}{4}} \sqrt{2} {\left(64 \, x^{24} + 128 \, x^{18} - 64 \, x^{16} + 96 \, x^{12} - 64 \, x^{10} - x^{8} + 32 \, x^{6} - 16 \, x^{4} + 4\right)} - 8 \, {\left(8 \, x^{15} + 8 \, x^{9} + x^{7} + 2 \, x^{3} + 4 \, \sqrt{2} {\left(2 \, x^{11} + x^{5}\right)}\right)} \sqrt{2 \, x^{6} + 1}\right)} \sqrt{\frac{16 \, x^{8} + 8 \, x^{2} + \sqrt{2} {\left(8 \, x^{12} + 8 \, x^{6} + x^{4} + 2\right)} - \sqrt{2 \, x^{6} + 1} {\left(2 \cdot 8^{\frac{1}{4}} \sqrt{2} x^{3} + 8^{\frac{3}{4}} \sqrt{2} {\left(2 \, x^{7} + x\right)}\right)}}{8 \, x^{12} + 8 \, x^{6} + x^{4} + 2}} + 8}{2 \, {\left(64 \, x^{24} + 128 \, x^{18} - 112 \, x^{16} + 96 \, x^{12} - 112 \, x^{10} + x^{8} + 32 \, x^{6} - 28 \, x^{4} + 4\right)}}\right) - \frac{1}{128} \cdot 8^{\frac{3}{4}} \sqrt{2} \log\left(\frac{64 \, {\left(16 \, x^{8} + 8 \, x^{2} + \sqrt{2} {\left(8 \, x^{12} + 8 \, x^{6} + x^{4} + 2\right)} + \sqrt{2 \, x^{6} + 1} {\left(2 \cdot 8^{\frac{1}{4}} \sqrt{2} x^{3} + 8^{\frac{3}{4}} \sqrt{2} {\left(2 \, x^{7} + x\right)}\right)}\right)}}{8 \, x^{12} + 8 \, x^{6} + x^{4} + 2}\right) + \frac{1}{128} \cdot 8^{\frac{3}{4}} \sqrt{2} \log\left(\frac{64 \, {\left(16 \, x^{8} + 8 \, x^{2} + \sqrt{2} {\left(8 \, x^{12} + 8 \, x^{6} + x^{4} + 2\right)} - \sqrt{2 \, x^{6} + 1} {\left(2 \cdot 8^{\frac{1}{4}} \sqrt{2} x^{3} + 8^{\frac{3}{4}} \sqrt{2} {\left(2 \, x^{7} + x\right)}\right)}\right)}}{8 \, x^{12} + 8 \, x^{6} + x^{4} + 2}\right)"," ",0,"1/32*8^(3/4)*sqrt(2)*arctan(-1/2*(128*x^24 + 256*x^18 + 32*x^16 + 192*x^12 + 32*x^10 + 2*x^8 + 64*x^6 + 8*x^4 + 8*sqrt(2)*(16*x^20 + 24*x^14 + 2*x^12 + 12*x^8 + x^6 + 2*x^2) + sqrt(2*x^6 + 1)*(8^(3/4)*sqrt(2)*(24*x^15 + 24*x^9 - x^7 + 6*x^3) + 4*8^(1/4)*sqrt(2)*(16*x^19 + 24*x^13 - 6*x^11 + 12*x^7 - 3*x^5 + 2*x)) - (8^(3/4)*sqrt(2)*(16*x^20 + 24*x^14 - 6*x^12 + 12*x^8 - 3*x^6 + 2*x^2) + 8^(1/4)*sqrt(2)*(64*x^24 + 128*x^18 - 64*x^16 + 96*x^12 - 64*x^10 - x^8 + 32*x^6 - 16*x^4 + 4) + 8*(8*x^15 + 8*x^9 + x^7 + 2*x^3 + 4*sqrt(2)*(2*x^11 + x^5))*sqrt(2*x^6 + 1))*sqrt((16*x^8 + 8*x^2 + sqrt(2)*(8*x^12 + 8*x^6 + x^4 + 2) + sqrt(2*x^6 + 1)*(2*8^(1/4)*sqrt(2)*x^3 + 8^(3/4)*sqrt(2)*(2*x^7 + x)))/(8*x^12 + 8*x^6 + x^4 + 2)) + 8)/(64*x^24 + 128*x^18 - 112*x^16 + 96*x^12 - 112*x^10 + x^8 + 32*x^6 - 28*x^4 + 4)) - 1/32*8^(3/4)*sqrt(2)*arctan(-1/2*(128*x^24 + 256*x^18 + 32*x^16 + 192*x^12 + 32*x^10 + 2*x^8 + 64*x^6 + 8*x^4 + 8*sqrt(2)*(16*x^20 + 24*x^14 + 2*x^12 + 12*x^8 + x^6 + 2*x^2) - sqrt(2*x^6 + 1)*(8^(3/4)*sqrt(2)*(24*x^15 + 24*x^9 - x^7 + 6*x^3) + 4*8^(1/4)*sqrt(2)*(16*x^19 + 24*x^13 - 6*x^11 + 12*x^7 - 3*x^5 + 2*x)) + (8^(3/4)*sqrt(2)*(16*x^20 + 24*x^14 - 6*x^12 + 12*x^8 - 3*x^6 + 2*x^2) + 8^(1/4)*sqrt(2)*(64*x^24 + 128*x^18 - 64*x^16 + 96*x^12 - 64*x^10 - x^8 + 32*x^6 - 16*x^4 + 4) - 8*(8*x^15 + 8*x^9 + x^7 + 2*x^3 + 4*sqrt(2)*(2*x^11 + x^5))*sqrt(2*x^6 + 1))*sqrt((16*x^8 + 8*x^2 + sqrt(2)*(8*x^12 + 8*x^6 + x^4 + 2) - sqrt(2*x^6 + 1)*(2*8^(1/4)*sqrt(2)*x^3 + 8^(3/4)*sqrt(2)*(2*x^7 + x)))/(8*x^12 + 8*x^6 + x^4 + 2)) + 8)/(64*x^24 + 128*x^18 - 112*x^16 + 96*x^12 - 112*x^10 + x^8 + 32*x^6 - 28*x^4 + 4)) - 1/128*8^(3/4)*sqrt(2)*log(64*(16*x^8 + 8*x^2 + sqrt(2)*(8*x^12 + 8*x^6 + x^4 + 2) + sqrt(2*x^6 + 1)*(2*8^(1/4)*sqrt(2)*x^3 + 8^(3/4)*sqrt(2)*(2*x^7 + x)))/(8*x^12 + 8*x^6 + x^4 + 2)) + 1/128*8^(3/4)*sqrt(2)*log(64*(16*x^8 + 8*x^2 + sqrt(2)*(8*x^12 + 8*x^6 + x^4 + 2) - sqrt(2*x^6 + 1)*(2*8^(1/4)*sqrt(2)*x^3 + 8^(3/4)*sqrt(2)*(2*x^7 + x)))/(8*x^12 + 8*x^6 + x^4 + 2))","B",0
1432,1,5173,0,1.130729," ","integrate((x^2-1)*(1+(1+x)^(1/2))^(1/2)/(x^2+1),x, algorithm=""fricas"")","-\frac{1}{80} \, \sqrt{2} \sqrt{8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{1}{4}} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} {\left({\left(2^{\frac{3}{4}} {\left(3 \, \sqrt{2} + 2\right)} + 2^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} - 20\right)} \arctan\left(\frac{1}{6400} \, \sqrt{2 \, \sqrt{2} \sqrt{8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{1}{4}} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} {\left({\left(2^{\frac{3}{4}} {\left(3 \, \sqrt{2} + 2\right)} + 2^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} - 20\right)} \sqrt{\sqrt{x + 1} + 1} + 160 \, \sqrt{2} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 320 \, \sqrt{x + 1} + 320} \sqrt{8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(\sqrt{5} {\left(2 \cdot 2^{\frac{3}{4}} {\left(\sqrt{2} + 1\right)} + 3 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{5} {\left(\sqrt{2} {\left(\sqrt{2} + 3\right)} + 2 \, \sqrt{2} + 3\right)}\right)} {\left(8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} + \frac{1}{160} \, \sqrt{8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} {\left(2 \, \sqrt{2} {\left(\sqrt{2} + 3\right)} - {\left(2 \cdot 2^{\frac{3}{4}} {\left(\sqrt{2} + 1\right)} + 3 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 6\right)} \sqrt{\sqrt{x + 1} + 1} + \frac{1}{2} \cdot 2^{\frac{3}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} + \frac{1}{2} \cdot 2^{\frac{1}{4}} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} + 1\right) - \frac{1}{80} \, \sqrt{2} \sqrt{8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{1}{4}} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} {\left({\left(2^{\frac{3}{4}} {\left(3 \, \sqrt{2} + 2\right)} + 2^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} - 20\right)} \arctan\left(\frac{1}{6400} \, \sqrt{-2 \, \sqrt{2} \sqrt{8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{1}{4}} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} {\left({\left(2^{\frac{3}{4}} {\left(3 \, \sqrt{2} + 2\right)} + 2^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} - 20\right)} \sqrt{\sqrt{x + 1} + 1} + 160 \, \sqrt{2} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 320 \, \sqrt{x + 1} + 320} \sqrt{8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(\sqrt{5} {\left(2 \cdot 2^{\frac{3}{4}} {\left(\sqrt{2} + 1\right)} + 3 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{5} {\left(\sqrt{2} {\left(\sqrt{2} + 3\right)} + 2 \, \sqrt{2} + 3\right)}\right)} {\left(8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} + \frac{1}{160} \, \sqrt{8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} {\left(2 \, \sqrt{2} {\left(\sqrt{2} + 3\right)} - {\left(2 \cdot 2^{\frac{3}{4}} {\left(\sqrt{2} + 1\right)} + 3 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 6\right)} \sqrt{\sqrt{x + 1} + 1} - \frac{1}{2} \cdot 2^{\frac{3}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - \frac{1}{2} \cdot 2^{\frac{1}{4}} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} - 1\right) - \frac{1}{160} \, \sqrt{-8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} {\left({\left(2^{\frac{3}{4}} {\left(3 \, \sqrt{2} + 2\right)} + 2^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} + 20\right)} \arctan\left(\frac{1}{6400} \, \sqrt{\sqrt{-8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} {\left({\left(2^{\frac{3}{4}} {\left(3 \, \sqrt{2} + 2\right)} + 2^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} + 20\right)} \sqrt{\sqrt{x + 1} + 1} + 80 \, \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 320 \, \sqrt{x + 1} + 320} \sqrt{-8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(\sqrt{5} {\left(2 \cdot 2^{\frac{3}{4}} {\left(\sqrt{2} + 1\right)} + 3 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{5} {\left(\sqrt{2} {\left(\sqrt{2} + 3\right)} + 2 \, \sqrt{2} + 3\right)}\right)} {\left(-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} - \frac{1}{8} \cdot 2^{\frac{3}{4}} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - \frac{1}{160} \, \sqrt{-8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} {\left(2 \, \sqrt{2} {\left(\sqrt{2} + 3\right)} + {\left(2 \cdot 2^{\frac{3}{4}} {\left(\sqrt{2} + 1\right)} + 3 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 6\right)} \sqrt{\sqrt{x + 1} + 1} - \frac{1}{2} \cdot 2^{\frac{3}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} + 1\right) - \frac{1}{160} \, \sqrt{-8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} {\left({\left(2^{\frac{3}{4}} {\left(3 \, \sqrt{2} + 2\right)} + 2^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} + 20\right)} \arctan\left(\frac{1}{6400} \, \sqrt{-\sqrt{-8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} {\left({\left(2^{\frac{3}{4}} {\left(3 \, \sqrt{2} + 2\right)} + 2^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} + 20\right)} \sqrt{\sqrt{x + 1} + 1} + 80 \, \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 320 \, \sqrt{x + 1} + 320} \sqrt{-8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(\sqrt{5} {\left(2 \cdot 2^{\frac{3}{4}} {\left(\sqrt{2} + 1\right)} + 3 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{5} {\left(\sqrt{2} {\left(\sqrt{2} + 3\right)} + 2 \, \sqrt{2} + 3\right)}\right)} {\left(-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} + \frac{1}{8} \cdot 2^{\frac{3}{4}} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - \frac{1}{160} \, \sqrt{-8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} {\left(2 \, \sqrt{2} {\left(\sqrt{2} + 3\right)} + {\left(2 \cdot 2^{\frac{3}{4}} {\left(\sqrt{2} + 1\right)} + 3 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 6\right)} \sqrt{\sqrt{x + 1} + 1} + \frac{1}{2} \cdot 2^{\frac{3}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} - 1\right) - \frac{1}{320} \, {\left(\sqrt{2} {\left(2^{\frac{3}{4}} {\left(\sqrt{2} + 4\right)} + 2^{\frac{1}{4}} {\left(\sqrt{2} - 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} \sqrt{-2 \, \sqrt{2} + 4} - 40\right)} \sqrt{8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{1}{4}} \log\left(\frac{1}{40} \, \sqrt{2} \sqrt{8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{1}{4}} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} {\left({\left(2^{\frac{3}{4}} {\left(3 \, \sqrt{2} + 2\right)} + 2^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} - 20\right)} \sqrt{\sqrt{x + 1} + 1} + 2 \, \sqrt{2} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 4 \, \sqrt{x + 1} + 4\right) + \frac{1}{320} \, {\left(\sqrt{2} {\left(2^{\frac{3}{4}} {\left(\sqrt{2} + 4\right)} + 2^{\frac{1}{4}} {\left(\sqrt{2} - 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} \sqrt{-2 \, \sqrt{2} + 4} - 40\right)} \sqrt{8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{1}{4}} \log\left(-\frac{1}{40} \, \sqrt{2} \sqrt{8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{1}{4}} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} {\left({\left(2^{\frac{3}{4}} {\left(3 \, \sqrt{2} + 2\right)} + 2^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} - 20\right)} \sqrt{\sqrt{x + 1} + 1} + 2 \, \sqrt{2} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 4 \, \sqrt{x + 1} + 4\right) - \frac{1}{640} \, \sqrt{-8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left({\left(2^{\frac{3}{4}} {\left(\sqrt{2} + 4\right)} + 2^{\frac{1}{4}} {\left(\sqrt{2} - 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} \sqrt{-2 \, \sqrt{2} + 4} + 80\right)} {\left(-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{1}{4}} \log\left(\frac{1}{80} \, \sqrt{-8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} {\left({\left(2^{\frac{3}{4}} {\left(3 \, \sqrt{2} + 2\right)} + 2^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} + 20\right)} \sqrt{\sqrt{x + 1} + 1} + \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 4 \, \sqrt{x + 1} + 4\right) + \frac{1}{640} \, \sqrt{-8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left({\left(2^{\frac{3}{4}} {\left(\sqrt{2} + 4\right)} + 2^{\frac{1}{4}} {\left(\sqrt{2} - 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} \sqrt{-2 \, \sqrt{2} + 4} + 80\right)} {\left(-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{1}{4}} \log\left(-\frac{1}{80} \, \sqrt{-8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} {\left({\left(2^{\frac{3}{4}} {\left(3 \, \sqrt{2} + 2\right)} + 2^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} + 20\right)} \sqrt{\sqrt{x + 1} + 1} + \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 4 \, \sqrt{x + 1} + 4\right) + \frac{4}{15} \, {\left(3 \, x + \sqrt{x + 1} + 1\right)} \sqrt{\sqrt{x + 1} + 1}"," ",0,"-1/80*sqrt(2)*sqrt(8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(sqrt(2) + 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(1/4)*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*((2^(3/4)*(3*sqrt(2) + 2) + 2^(1/4)*(3*sqrt(2) + 4))*sqrt(-2*sqrt(2) + 4) - 20)*arctan(1/6400*sqrt(2*sqrt(2)*sqrt(8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(sqrt(2) + 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(1/4)*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*((2^(3/4)*(3*sqrt(2) + 2) + 2^(1/4)*(3*sqrt(2) + 4))*sqrt(-2*sqrt(2) + 4) - 20)*sqrt(sqrt(x + 1) + 1) + 160*sqrt(2)*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 320*sqrt(x + 1) + 320)*sqrt(8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(sqrt(2) + 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(sqrt(5)*(2*2^(3/4)*(sqrt(2) + 1) + 3*2^(1/4)*(sqrt(2) + 2))*sqrt(-2*sqrt(2) + 4) - 2*sqrt(5)*(sqrt(2)*(sqrt(2) + 3) + 2*sqrt(2) + 3))*(8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4) + 1/160*sqrt(8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(sqrt(2) + 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4)*(2*sqrt(2)*(sqrt(2) + 3) - (2*2^(3/4)*(sqrt(2) + 1) + 3*2^(1/4)*(sqrt(2) + 2))*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 6)*sqrt(sqrt(x + 1) + 1) + 1/2*2^(3/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) + 1/2*2^(1/4)*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) + sqrt(2) + 1) - 1/80*sqrt(2)*sqrt(8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(sqrt(2) + 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(1/4)*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*((2^(3/4)*(3*sqrt(2) + 2) + 2^(1/4)*(3*sqrt(2) + 4))*sqrt(-2*sqrt(2) + 4) - 20)*arctan(1/6400*sqrt(-2*sqrt(2)*sqrt(8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(sqrt(2) + 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(1/4)*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*((2^(3/4)*(3*sqrt(2) + 2) + 2^(1/4)*(3*sqrt(2) + 4))*sqrt(-2*sqrt(2) + 4) - 20)*sqrt(sqrt(x + 1) + 1) + 160*sqrt(2)*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 320*sqrt(x + 1) + 320)*sqrt(8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(sqrt(2) + 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(sqrt(5)*(2*2^(3/4)*(sqrt(2) + 1) + 3*2^(1/4)*(sqrt(2) + 2))*sqrt(-2*sqrt(2) + 4) - 2*sqrt(5)*(sqrt(2)*(sqrt(2) + 3) + 2*sqrt(2) + 3))*(8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4) + 1/160*sqrt(8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(sqrt(2) + 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4)*(2*sqrt(2)*(sqrt(2) + 3) - (2*2^(3/4)*(sqrt(2) + 1) + 3*2^(1/4)*(sqrt(2) + 2))*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 6)*sqrt(sqrt(x + 1) + 1) - 1/2*2^(3/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - 1/2*2^(1/4)*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - sqrt(2) - 1) - 1/160*sqrt(-8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - (2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - 2*sqrt(2)*(sqrt(2) + 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4)*((2^(3/4)*(3*sqrt(2) + 2) + 2^(1/4)*(3*sqrt(2) + 4))*sqrt(-2*sqrt(2) + 4) + 20)*arctan(1/6400*sqrt(sqrt(-8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - (2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - 2*sqrt(2)*(sqrt(2) + 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4)*((2^(3/4)*(3*sqrt(2) + 2) + 2^(1/4)*(3*sqrt(2) + 4))*sqrt(-2*sqrt(2) + 4) + 20)*sqrt(sqrt(x + 1) + 1) + 80*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 320*sqrt(x + 1) + 320)*sqrt(-8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - (2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - 2*sqrt(2)*(sqrt(2) + 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(sqrt(5)*(2*2^(3/4)*(sqrt(2) + 1) + 3*2^(1/4)*(sqrt(2) + 2))*sqrt(-2*sqrt(2) + 4) + 2*sqrt(5)*(sqrt(2)*(sqrt(2) + 3) + 2*sqrt(2) + 3))*(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4) - 1/8*2^(3/4)*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - 1/160*sqrt(-8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - (2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - 2*sqrt(2)*(sqrt(2) + 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4)*(2*sqrt(2)*(sqrt(2) + 3) + (2*2^(3/4)*(sqrt(2) + 1) + 3*2^(1/4)*(sqrt(2) + 2))*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 6)*sqrt(sqrt(x + 1) + 1) - 1/2*2^(3/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) + sqrt(2) + 1) - 1/160*sqrt(-8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - (2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - 2*sqrt(2)*(sqrt(2) + 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4)*((2^(3/4)*(3*sqrt(2) + 2) + 2^(1/4)*(3*sqrt(2) + 4))*sqrt(-2*sqrt(2) + 4) + 20)*arctan(1/6400*sqrt(-sqrt(-8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - (2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - 2*sqrt(2)*(sqrt(2) + 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4)*((2^(3/4)*(3*sqrt(2) + 2) + 2^(1/4)*(3*sqrt(2) + 4))*sqrt(-2*sqrt(2) + 4) + 20)*sqrt(sqrt(x + 1) + 1) + 80*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 320*sqrt(x + 1) + 320)*sqrt(-8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - (2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - 2*sqrt(2)*(sqrt(2) + 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(sqrt(5)*(2*2^(3/4)*(sqrt(2) + 1) + 3*2^(1/4)*(sqrt(2) + 2))*sqrt(-2*sqrt(2) + 4) + 2*sqrt(5)*(sqrt(2)*(sqrt(2) + 3) + 2*sqrt(2) + 3))*(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4) + 1/8*2^(3/4)*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - 1/160*sqrt(-8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - (2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - 2*sqrt(2)*(sqrt(2) + 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4)*(2*sqrt(2)*(sqrt(2) + 3) + (2*2^(3/4)*(sqrt(2) + 1) + 3*2^(1/4)*(sqrt(2) + 2))*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 6)*sqrt(sqrt(x + 1) + 1) + 1/2*2^(3/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - sqrt(2) - 1) - 1/320*(sqrt(2)*(2^(3/4)*(sqrt(2) + 4) + 2^(1/4)*(sqrt(2) - 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) - 40)*sqrt(8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(sqrt(2) + 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(1/4)*log(1/40*sqrt(2)*sqrt(8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(sqrt(2) + 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(1/4)*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*((2^(3/4)*(3*sqrt(2) + 2) + 2^(1/4)*(3*sqrt(2) + 4))*sqrt(-2*sqrt(2) + 4) - 20)*sqrt(sqrt(x + 1) + 1) + 2*sqrt(2)*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 4*sqrt(x + 1) + 4) + 1/320*(sqrt(2)*(2^(3/4)*(sqrt(2) + 4) + 2^(1/4)*(sqrt(2) - 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) - 40)*sqrt(8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(sqrt(2) + 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(1/4)*log(-1/40*sqrt(2)*sqrt(8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(sqrt(2) + 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(1/4)*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*((2^(3/4)*(3*sqrt(2) + 2) + 2^(1/4)*(3*sqrt(2) + 4))*sqrt(-2*sqrt(2) + 4) - 20)*sqrt(sqrt(x + 1) + 1) + 2*sqrt(2)*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 4*sqrt(x + 1) + 4) - 1/640*sqrt(-8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - (2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - 2*sqrt(2)*(sqrt(2) + 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*((2^(3/4)*(sqrt(2) + 4) + 2^(1/4)*(sqrt(2) - 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)*sqrt(-2*sqrt(2) + 4) + 80)*(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(1/4)*log(1/80*sqrt(-8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - (2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - 2*sqrt(2)*(sqrt(2) + 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4)*((2^(3/4)*(3*sqrt(2) + 2) + 2^(1/4)*(3*sqrt(2) + 4))*sqrt(-2*sqrt(2) + 4) + 20)*sqrt(sqrt(x + 1) + 1) + sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 4*sqrt(x + 1) + 4) + 1/640*sqrt(-8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - (2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - 2*sqrt(2)*(sqrt(2) + 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*((2^(3/4)*(sqrt(2) + 4) + 2^(1/4)*(sqrt(2) - 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)*sqrt(-2*sqrt(2) + 4) + 80)*(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(1/4)*log(-1/80*sqrt(-8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - (2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - 2*sqrt(2)*(sqrt(2) + 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4)*((2^(3/4)*(3*sqrt(2) + 2) + 2^(1/4)*(3*sqrt(2) + 4))*sqrt(-2*sqrt(2) + 4) + 20)*sqrt(sqrt(x + 1) + 1) + sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 4*sqrt(x + 1) + 4) + 4/15*(3*x + sqrt(x + 1) + 1)*sqrt(sqrt(x + 1) + 1)","B",0
1433,1,5173,0,1.053560," ","integrate((x^2-1)*(1+(1+x)^(1/2))^(1/2)/(x^2+1),x, algorithm=""fricas"")","-\frac{1}{80} \, \sqrt{2} \sqrt{8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{1}{4}} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} {\left({\left(2^{\frac{3}{4}} {\left(3 \, \sqrt{2} + 2\right)} + 2^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} - 20\right)} \arctan\left(\frac{1}{6400} \, \sqrt{2 \, \sqrt{2} \sqrt{8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{1}{4}} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} {\left({\left(2^{\frac{3}{4}} {\left(3 \, \sqrt{2} + 2\right)} + 2^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} - 20\right)} \sqrt{\sqrt{x + 1} + 1} + 160 \, \sqrt{2} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 320 \, \sqrt{x + 1} + 320} \sqrt{8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(\sqrt{5} {\left(2 \cdot 2^{\frac{3}{4}} {\left(\sqrt{2} + 1\right)} + 3 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{5} {\left(\sqrt{2} {\left(\sqrt{2} + 3\right)} + 2 \, \sqrt{2} + 3\right)}\right)} {\left(8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} + \frac{1}{160} \, \sqrt{8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} {\left(2 \, \sqrt{2} {\left(\sqrt{2} + 3\right)} - {\left(2 \cdot 2^{\frac{3}{4}} {\left(\sqrt{2} + 1\right)} + 3 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 6\right)} \sqrt{\sqrt{x + 1} + 1} + \frac{1}{2} \cdot 2^{\frac{3}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} + \frac{1}{2} \cdot 2^{\frac{1}{4}} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} + 1\right) - \frac{1}{80} \, \sqrt{2} \sqrt{8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{1}{4}} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} {\left({\left(2^{\frac{3}{4}} {\left(3 \, \sqrt{2} + 2\right)} + 2^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} - 20\right)} \arctan\left(\frac{1}{6400} \, \sqrt{-2 \, \sqrt{2} \sqrt{8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{1}{4}} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} {\left({\left(2^{\frac{3}{4}} {\left(3 \, \sqrt{2} + 2\right)} + 2^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} - 20\right)} \sqrt{\sqrt{x + 1} + 1} + 160 \, \sqrt{2} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 320 \, \sqrt{x + 1} + 320} \sqrt{8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(\sqrt{5} {\left(2 \cdot 2^{\frac{3}{4}} {\left(\sqrt{2} + 1\right)} + 3 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{5} {\left(\sqrt{2} {\left(\sqrt{2} + 3\right)} + 2 \, \sqrt{2} + 3\right)}\right)} {\left(8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} + \frac{1}{160} \, \sqrt{8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} {\left(2 \, \sqrt{2} {\left(\sqrt{2} + 3\right)} - {\left(2 \cdot 2^{\frac{3}{4}} {\left(\sqrt{2} + 1\right)} + 3 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 6\right)} \sqrt{\sqrt{x + 1} + 1} - \frac{1}{2} \cdot 2^{\frac{3}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - \frac{1}{2} \cdot 2^{\frac{1}{4}} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} - 1\right) - \frac{1}{160} \, \sqrt{-8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} {\left({\left(2^{\frac{3}{4}} {\left(3 \, \sqrt{2} + 2\right)} + 2^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} + 20\right)} \arctan\left(\frac{1}{6400} \, \sqrt{\sqrt{-8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} {\left({\left(2^{\frac{3}{4}} {\left(3 \, \sqrt{2} + 2\right)} + 2^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} + 20\right)} \sqrt{\sqrt{x + 1} + 1} + 80 \, \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 320 \, \sqrt{x + 1} + 320} \sqrt{-8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(\sqrt{5} {\left(2 \cdot 2^{\frac{3}{4}} {\left(\sqrt{2} + 1\right)} + 3 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{5} {\left(\sqrt{2} {\left(\sqrt{2} + 3\right)} + 2 \, \sqrt{2} + 3\right)}\right)} {\left(-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} - \frac{1}{8} \cdot 2^{\frac{3}{4}} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - \frac{1}{160} \, \sqrt{-8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} {\left(2 \, \sqrt{2} {\left(\sqrt{2} + 3\right)} + {\left(2 \cdot 2^{\frac{3}{4}} {\left(\sqrt{2} + 1\right)} + 3 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 6\right)} \sqrt{\sqrt{x + 1} + 1} - \frac{1}{2} \cdot 2^{\frac{3}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} + 1\right) - \frac{1}{160} \, \sqrt{-8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} {\left({\left(2^{\frac{3}{4}} {\left(3 \, \sqrt{2} + 2\right)} + 2^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} + 20\right)} \arctan\left(\frac{1}{6400} \, \sqrt{-\sqrt{-8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} {\left({\left(2^{\frac{3}{4}} {\left(3 \, \sqrt{2} + 2\right)} + 2^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} + 20\right)} \sqrt{\sqrt{x + 1} + 1} + 80 \, \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 320 \, \sqrt{x + 1} + 320} \sqrt{-8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(\sqrt{5} {\left(2 \cdot 2^{\frac{3}{4}} {\left(\sqrt{2} + 1\right)} + 3 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{5} {\left(\sqrt{2} {\left(\sqrt{2} + 3\right)} + 2 \, \sqrt{2} + 3\right)}\right)} {\left(-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} + \frac{1}{8} \cdot 2^{\frac{3}{4}} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - \frac{1}{160} \, \sqrt{-8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} {\left(2 \, \sqrt{2} {\left(\sqrt{2} + 3\right)} + {\left(2 \cdot 2^{\frac{3}{4}} {\left(\sqrt{2} + 1\right)} + 3 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 6\right)} \sqrt{\sqrt{x + 1} + 1} + \frac{1}{2} \cdot 2^{\frac{3}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} - 1\right) - \frac{1}{320} \, {\left(\sqrt{2} {\left(2^{\frac{3}{4}} {\left(\sqrt{2} + 4\right)} + 2^{\frac{1}{4}} {\left(\sqrt{2} - 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} \sqrt{-2 \, \sqrt{2} + 4} - 40\right)} \sqrt{8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{1}{4}} \log\left(\frac{1}{40} \, \sqrt{2} \sqrt{8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{1}{4}} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} {\left({\left(2^{\frac{3}{4}} {\left(3 \, \sqrt{2} + 2\right)} + 2^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} - 20\right)} \sqrt{\sqrt{x + 1} + 1} + 2 \, \sqrt{2} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 4 \, \sqrt{x + 1} + 4\right) + \frac{1}{320} \, {\left(\sqrt{2} {\left(2^{\frac{3}{4}} {\left(\sqrt{2} + 4\right)} + 2^{\frac{1}{4}} {\left(\sqrt{2} - 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} \sqrt{-2 \, \sqrt{2} + 4} - 40\right)} \sqrt{8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{1}{4}} \log\left(-\frac{1}{40} \, \sqrt{2} \sqrt{8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{1}{4}} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} {\left({\left(2^{\frac{3}{4}} {\left(3 \, \sqrt{2} + 2\right)} + 2^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} - 20\right)} \sqrt{\sqrt{x + 1} + 1} + 2 \, \sqrt{2} \sqrt{2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2} + 4 \, \sqrt{x + 1} + 4\right) - \frac{1}{640} \, \sqrt{-8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left({\left(2^{\frac{3}{4}} {\left(\sqrt{2} + 4\right)} + 2^{\frac{1}{4}} {\left(\sqrt{2} - 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} \sqrt{-2 \, \sqrt{2} + 4} + 80\right)} {\left(-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{1}{4}} \log\left(\frac{1}{80} \, \sqrt{-8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} {\left({\left(2^{\frac{3}{4}} {\left(3 \, \sqrt{2} + 2\right)} + 2^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} + 20\right)} \sqrt{\sqrt{x + 1} + 1} + \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 4 \, \sqrt{x + 1} + 4\right) + \frac{1}{640} \, \sqrt{-8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left({\left(2^{\frac{3}{4}} {\left(\sqrt{2} + 4\right)} + 2^{\frac{1}{4}} {\left(\sqrt{2} - 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} \sqrt{-2 \, \sqrt{2} + 4} + 80\right)} {\left(-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{1}{4}} \log\left(-\frac{1}{80} \, \sqrt{-8 \cdot 2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - {\left(2^{\frac{3}{4}} {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} - 2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)}\right)} \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 8 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} + 16 \, \sqrt{2} + 32} {\left(-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16\right)}^{\frac{3}{4}} {\left({\left(2^{\frac{3}{4}} {\left(3 \, \sqrt{2} + 2\right)} + 2^{\frac{1}{4}} {\left(3 \, \sqrt{2} + 4\right)}\right)} \sqrt{-2 \, \sqrt{2} + 4} + 20\right)} \sqrt{\sqrt{x + 1} + 1} + \sqrt{-8 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 16 \, \sqrt{2} + 16} + 4 \, \sqrt{x + 1} + 4\right) + \frac{4}{15} \, {\left(3 \, x + \sqrt{x + 1} + 1\right)} \sqrt{\sqrt{x + 1} + 1}"," ",0,"-1/80*sqrt(2)*sqrt(8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(sqrt(2) + 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(1/4)*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*((2^(3/4)*(3*sqrt(2) + 2) + 2^(1/4)*(3*sqrt(2) + 4))*sqrt(-2*sqrt(2) + 4) - 20)*arctan(1/6400*sqrt(2*sqrt(2)*sqrt(8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(sqrt(2) + 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(1/4)*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*((2^(3/4)*(3*sqrt(2) + 2) + 2^(1/4)*(3*sqrt(2) + 4))*sqrt(-2*sqrt(2) + 4) - 20)*sqrt(sqrt(x + 1) + 1) + 160*sqrt(2)*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 320*sqrt(x + 1) + 320)*sqrt(8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(sqrt(2) + 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(sqrt(5)*(2*2^(3/4)*(sqrt(2) + 1) + 3*2^(1/4)*(sqrt(2) + 2))*sqrt(-2*sqrt(2) + 4) - 2*sqrt(5)*(sqrt(2)*(sqrt(2) + 3) + 2*sqrt(2) + 3))*(8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4) + 1/160*sqrt(8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(sqrt(2) + 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4)*(2*sqrt(2)*(sqrt(2) + 3) - (2*2^(3/4)*(sqrt(2) + 1) + 3*2^(1/4)*(sqrt(2) + 2))*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 6)*sqrt(sqrt(x + 1) + 1) + 1/2*2^(3/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) + 1/2*2^(1/4)*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) + sqrt(2) + 1) - 1/80*sqrt(2)*sqrt(8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(sqrt(2) + 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(1/4)*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*((2^(3/4)*(3*sqrt(2) + 2) + 2^(1/4)*(3*sqrt(2) + 4))*sqrt(-2*sqrt(2) + 4) - 20)*arctan(1/6400*sqrt(-2*sqrt(2)*sqrt(8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(sqrt(2) + 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(1/4)*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*((2^(3/4)*(3*sqrt(2) + 2) + 2^(1/4)*(3*sqrt(2) + 4))*sqrt(-2*sqrt(2) + 4) - 20)*sqrt(sqrt(x + 1) + 1) + 160*sqrt(2)*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 320*sqrt(x + 1) + 320)*sqrt(8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(sqrt(2) + 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(sqrt(5)*(2*2^(3/4)*(sqrt(2) + 1) + 3*2^(1/4)*(sqrt(2) + 2))*sqrt(-2*sqrt(2) + 4) - 2*sqrt(5)*(sqrt(2)*(sqrt(2) + 3) + 2*sqrt(2) + 3))*(8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4) + 1/160*sqrt(8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(sqrt(2) + 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4)*(2*sqrt(2)*(sqrt(2) + 3) - (2*2^(3/4)*(sqrt(2) + 1) + 3*2^(1/4)*(sqrt(2) + 2))*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 6)*sqrt(sqrt(x + 1) + 1) - 1/2*2^(3/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - 1/2*2^(1/4)*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - sqrt(2) - 1) - 1/160*sqrt(-8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - (2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - 2*sqrt(2)*(sqrt(2) + 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4)*((2^(3/4)*(3*sqrt(2) + 2) + 2^(1/4)*(3*sqrt(2) + 4))*sqrt(-2*sqrt(2) + 4) + 20)*arctan(1/6400*sqrt(sqrt(-8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - (2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - 2*sqrt(2)*(sqrt(2) + 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4)*((2^(3/4)*(3*sqrt(2) + 2) + 2^(1/4)*(3*sqrt(2) + 4))*sqrt(-2*sqrt(2) + 4) + 20)*sqrt(sqrt(x + 1) + 1) + 80*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 320*sqrt(x + 1) + 320)*sqrt(-8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - (2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - 2*sqrt(2)*(sqrt(2) + 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(sqrt(5)*(2*2^(3/4)*(sqrt(2) + 1) + 3*2^(1/4)*(sqrt(2) + 2))*sqrt(-2*sqrt(2) + 4) + 2*sqrt(5)*(sqrt(2)*(sqrt(2) + 3) + 2*sqrt(2) + 3))*(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4) - 1/8*2^(3/4)*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - 1/160*sqrt(-8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - (2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - 2*sqrt(2)*(sqrt(2) + 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4)*(2*sqrt(2)*(sqrt(2) + 3) + (2*2^(3/4)*(sqrt(2) + 1) + 3*2^(1/4)*(sqrt(2) + 2))*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 6)*sqrt(sqrt(x + 1) + 1) - 1/2*2^(3/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) + sqrt(2) + 1) - 1/160*sqrt(-8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - (2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - 2*sqrt(2)*(sqrt(2) + 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4)*((2^(3/4)*(3*sqrt(2) + 2) + 2^(1/4)*(3*sqrt(2) + 4))*sqrt(-2*sqrt(2) + 4) + 20)*arctan(1/6400*sqrt(-sqrt(-8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - (2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - 2*sqrt(2)*(sqrt(2) + 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4)*((2^(3/4)*(3*sqrt(2) + 2) + 2^(1/4)*(3*sqrt(2) + 4))*sqrt(-2*sqrt(2) + 4) + 20)*sqrt(sqrt(x + 1) + 1) + 80*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 320*sqrt(x + 1) + 320)*sqrt(-8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - (2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - 2*sqrt(2)*(sqrt(2) + 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(sqrt(5)*(2*2^(3/4)*(sqrt(2) + 1) + 3*2^(1/4)*(sqrt(2) + 2))*sqrt(-2*sqrt(2) + 4) + 2*sqrt(5)*(sqrt(2)*(sqrt(2) + 3) + 2*sqrt(2) + 3))*(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4) + 1/8*2^(3/4)*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - 1/160*sqrt(-8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - (2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - 2*sqrt(2)*(sqrt(2) + 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4)*(2*sqrt(2)*(sqrt(2) + 3) + (2*2^(3/4)*(sqrt(2) + 1) + 3*2^(1/4)*(sqrt(2) + 2))*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 6)*sqrt(sqrt(x + 1) + 1) + 1/2*2^(3/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - sqrt(2) - 1) - 1/320*(sqrt(2)*(2^(3/4)*(sqrt(2) + 4) + 2^(1/4)*(sqrt(2) - 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) - 40)*sqrt(8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(sqrt(2) + 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(1/4)*log(1/40*sqrt(2)*sqrt(8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(sqrt(2) + 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(1/4)*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*((2^(3/4)*(3*sqrt(2) + 2) + 2^(1/4)*(3*sqrt(2) + 4))*sqrt(-2*sqrt(2) + 4) - 20)*sqrt(sqrt(x + 1) + 1) + 2*sqrt(2)*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 4*sqrt(x + 1) + 4) + 1/320*(sqrt(2)*(2^(3/4)*(sqrt(2) + 4) + 2^(1/4)*(sqrt(2) - 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) - 40)*sqrt(8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(sqrt(2) + 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(1/4)*log(-1/40*sqrt(2)*sqrt(8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2)*(sqrt(2) + 2))*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(1/4)*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*((2^(3/4)*(3*sqrt(2) + 2) + 2^(1/4)*(3*sqrt(2) + 4))*sqrt(-2*sqrt(2) + 4) - 20)*sqrt(sqrt(x + 1) + 1) + 2*sqrt(2)*sqrt(2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2) + 4*sqrt(x + 1) + 4) - 1/640*sqrt(-8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - (2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - 2*sqrt(2)*(sqrt(2) + 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*((2^(3/4)*(sqrt(2) + 4) + 2^(1/4)*(sqrt(2) - 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)*sqrt(-2*sqrt(2) + 4) + 80)*(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(1/4)*log(1/80*sqrt(-8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - (2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - 2*sqrt(2)*(sqrt(2) + 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4)*((2^(3/4)*(3*sqrt(2) + 2) + 2^(1/4)*(3*sqrt(2) + 4))*sqrt(-2*sqrt(2) + 4) + 20)*sqrt(sqrt(x + 1) + 1) + sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 4*sqrt(x + 1) + 4) + 1/640*sqrt(-8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - (2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - 2*sqrt(2)*(sqrt(2) + 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*((2^(3/4)*(sqrt(2) + 4) + 2^(1/4)*(sqrt(2) - 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)*sqrt(-2*sqrt(2) + 4) + 80)*(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(1/4)*log(-1/80*sqrt(-8*2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - (2^(3/4)*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) - 2*sqrt(2)*(sqrt(2) + 2))*sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 8*sqrt(2)*(sqrt(2) + 2) + 16*sqrt(2) + 32)*(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16)^(3/4)*((2^(3/4)*(3*sqrt(2) + 2) + 2^(1/4)*(3*sqrt(2) + 4))*sqrt(-2*sqrt(2) + 4) + 20)*sqrt(sqrt(x + 1) + 1) + sqrt(-8*2^(1/4)*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 16*sqrt(2) + 16) + 4*sqrt(x + 1) + 4) + 4/15*(3*x + sqrt(x + 1) + 1)*sqrt(sqrt(x + 1) + 1)","B",0
1434,1,92,0,0.904085," ","integrate(x^2*(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{1}{8} \, {\left(3 \, x^{3} - \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + \frac{1}{32} \, \sqrt{2} \log\left(4 \, x^{4} + 4 \, \sqrt{x^{4} + 1} x^{2} + 2 \, {\left(\sqrt{2} x^{3} + \sqrt{2} \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 1\right)"," ",0,"1/8*(3*x^3 - sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1/32*sqrt(2)*log(4*x^4 + 4*sqrt(x^4 + 1)*x^2 + 2*(sqrt(2)*x^3 + sqrt(2)*sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1)","A",0
1435,1,90,0,1.027117," ","integrate((x^4-1)*(x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{8} \, {\left(x^{3} - 3 \, \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + \frac{11}{32} \, \sqrt{2} \log\left(4 \, x^{4} + 4 \, \sqrt{x^{4} + 1} x^{2} - 2 \, {\left(\sqrt{2} x^{3} + \sqrt{2} \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 1\right)"," ",0,"-1/8*(x^3 - 3*sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 11/32*sqrt(2)*log(4*x^4 + 4*sqrt(x^4 + 1)*x^2 - 2*(sqrt(2)*x^3 + sqrt(2)*sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1)","A",0
1436,1,90,0,1.007815," ","integrate((x^4+1)^(1/2)*(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{1}{8} \, {\left(x^{3} - 3 \, \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + \frac{5}{32} \, \sqrt{2} \log\left(4 \, x^{4} + 4 \, \sqrt{x^{4} + 1} x^{2} + 2 \, {\left(\sqrt{2} x^{3} + \sqrt{2} \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 1\right)"," ",0,"-1/8*(x^3 - 3*sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 5/32*sqrt(2)*log(4*x^4 + 4*sqrt(x^4 + 1)*x^2 + 2*(sqrt(2)*x^3 + sqrt(2)*sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1)","A",0
1437,1,94,0,0.691931," ","integrate(x^3*(x^3-1)^(2/3),x, algorithm=""fricas"")","\frac{1}{18} \, {\left(3 \, x^{4} - 2 \, x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} + \frac{1}{27} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{1}{27} \, \log\left(-\frac{x - {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{54} \, \log\left(\frac{x^{2} + {\left(x^{3} - 1\right)}^{\frac{1}{3}} x + {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"1/18*(3*x^4 - 2*x)*(x^3 - 1)^(2/3) + 1/27*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 - 1)^(1/3))/x) + 1/27*log(-(x - (x^3 - 1)^(1/3))/x) - 1/54*log((x^2 + (x^3 - 1)^(1/3)*x + (x^3 - 1)^(2/3))/x^2)","A",0
1438,1,94,0,0.726689," ","integrate(x^4*(x^3+1)^(1/3),x, algorithm=""fricas"")","-\frac{1}{27} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{1}{18} \, {\left(3 \, x^{5} + x^{2}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}} + \frac{1}{27} \, \log\left(-\frac{x - {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{54} \, \log\left(\frac{x^{2} + {\left(x^{3} + 1\right)}^{\frac{1}{3}} x + {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-1/27*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + 1)^(1/3))/x) + 1/18*(3*x^5 + x^2)*(x^3 + 1)^(1/3) + 1/27*log(-(x - (x^3 + 1)^(1/3))/x) - 1/54*log((x^2 + (x^3 + 1)^(1/3)*x + (x^3 + 1)^(2/3))/x^2)","A",0
1439,1,94,0,0.503069," ","integrate(x^3*(x^3+1)^(2/3),x, algorithm=""fricas"")","\frac{1}{18} \, {\left(3 \, x^{4} + 2 \, x\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}} + \frac{1}{27} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{1}{27} \, \log\left(-\frac{x - {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{54} \, \log\left(\frac{x^{2} + {\left(x^{3} + 1\right)}^{\frac{1}{3}} x + {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"1/18*(3*x^4 + 2*x)*(x^3 + 1)^(2/3) + 1/27*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + 1)^(1/3))/x) + 1/27*log(-(x - (x^3 + 1)^(1/3))/x) - 1/54*log((x^2 + (x^3 + 1)^(1/3)*x + (x^3 + 1)^(2/3))/x^2)","A",0
1440,1,122,0,1.131954," ","integrate((x^3-2)^(2/3)*(x^3+4)/x^6/(x^3-1),x, algorithm=""fricas"")","-\frac{50 \, \sqrt{3} x^{5} \arctan\left(\frac{4 \, \sqrt{3} {\left(x^{3} - 2\right)}^{\frac{1}{3}} x^{2} + 2 \, \sqrt{3} {\left(x^{3} - 2\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(x^{3} - 2\right)}}{7 \, x^{3} + 2}\right) - 25 \, x^{5} \log\left(\frac{2 \, x^{3} + 3 \, {\left(x^{3} - 2\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{3} - 2\right)}^{\frac{2}{3}} x - 2}{x^{3} - 1}\right) - 3 \, {\left(21 \, x^{3} + 8\right)} {\left(x^{3} - 2\right)}^{\frac{2}{3}}}{30 \, x^{5}}"," ",0,"-1/30*(50*sqrt(3)*x^5*arctan((4*sqrt(3)*(x^3 - 2)^(1/3)*x^2 + 2*sqrt(3)*(x^3 - 2)^(2/3)*x + sqrt(3)*(x^3 - 2))/(7*x^3 + 2)) - 25*x^5*log((2*x^3 + 3*(x^3 - 2)^(1/3)*x^2 + 3*(x^3 - 2)^(2/3)*x - 2)/(x^3 - 1)) - 3*(21*x^3 + 8)*(x^3 - 2)^(2/3))/x^5","A",0
1441,-1,0,0,0.000000," ","integrate((a*x^2+3*b)/(a*x^2+x^3+b)/(a*x^3+b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1442,1,91,0,0.662827," ","integrate((x^4-3)*(x^4+1)^(1/3)/x^13,x, algorithm=""fricas"")","\frac{8 \, \sqrt{3} x^{12} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{4} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) + 4 \, x^{12} \log\left({\left(x^{4} + 1\right)}^{\frac{2}{3}} + {\left(x^{4} + 1\right)}^{\frac{1}{3}} + 1\right) - 8 \, x^{12} \log\left({\left(x^{4} + 1\right)}^{\frac{1}{3}} - 1\right) - 3 \, {\left(4 \, x^{8} + 3 \, x^{4} - 9\right)} {\left(x^{4} + 1\right)}^{\frac{1}{3}}}{108 \, x^{12}}"," ",0,"1/108*(8*sqrt(3)*x^12*arctan(2/3*sqrt(3)*(x^4 + 1)^(1/3) + 1/3*sqrt(3)) + 4*x^12*log((x^4 + 1)^(2/3) + (x^4 + 1)^(1/3) + 1) - 8*x^12*log((x^4 + 1)^(1/3) - 1) - 3*(4*x^8 + 3*x^4 - 9)*(x^4 + 1)^(1/3))/x^12","A",0
1443,-1,0,0,0.000000," ","integrate((a*x^2-2*b)/(a*x^2-b)^(1/4)/(x^4+a*x^2-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1444,-1,0,0,0.000000," ","integrate((a*x^3-4*b)/(a*x^3-b)^(1/4)/(a*x^3+x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1445,-1,0,0,0.000000," ","integrate((a*x^2+b)/(x^4-a*x^2+b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1446,-1,0,0,0.000000," ","integrate((a*x^2+b)/(x^4-a*x^2+b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1447,-1,0,0,0.000000," ","integrate((a*x^4+b)/x^4/(a*x^4-2*b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1448,-1,0,0,0.000000," ","integrate((a*x^4+b)/x^4/(a*x^4-2*b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1449,1,147,0,7.548801," ","integrate((x^3-1)*(x^3+1)^3*(x^6+1)^(2/3)/x^6/(x^6-x^3+1),x, algorithm=""fricas"")","-\frac{10 \, \sqrt{3} x^{5} \arctan\left(\frac{1078 \, \sqrt{3} {\left(x^{6} + 1\right)}^{\frac{1}{3}} x^{2} + 196 \, \sqrt{3} {\left(x^{6} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(32 \, x^{6} + 605 \, x^{3} + 32\right)}}{8 \, x^{6} - 1331 \, x^{3} + 8}\right) - 5 \, x^{5} \log\left(\frac{x^{6} - x^{3} + 3 \, {\left(x^{6} + 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{6} + 1\right)}^{\frac{2}{3}} x + 1}{x^{6} - x^{3} + 1}\right) - {\left(2 \, x^{6} + 15 \, x^{3} + 2\right)} {\left(x^{6} + 1\right)}^{\frac{2}{3}}}{10 \, x^{5}}"," ",0,"-1/10*(10*sqrt(3)*x^5*arctan((1078*sqrt(3)*(x^6 + 1)^(1/3)*x^2 + 196*sqrt(3)*(x^6 + 1)^(2/3)*x + sqrt(3)*(32*x^6 + 605*x^3 + 32))/(8*x^6 - 1331*x^3 + 8)) - 5*x^5*log((x^6 - x^3 + 3*(x^6 + 1)^(1/3)*x^2 - 3*(x^6 + 1)^(2/3)*x + 1)/(x^6 - x^3 + 1)) - (2*x^6 + 15*x^3 + 2)*(x^6 + 1)^(2/3))/x^5","A",0
1450,1,148,0,13.271412," ","integrate((x^6-1)^(2/3)*(x^6+1)*(2*x^6+x^3-2)/x^6/(x^6-x^3-1),x, algorithm=""fricas"")","-\frac{10 \, \sqrt{3} x^{5} \arctan\left(\frac{473996388635948633452428917614298985996886224511260115036680453514888144148250 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{2} + 19325031480489228255674265966448835967818926087643600184123099965366515892788 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(771225779807741020855977802972631216428368740202755221603971931588718036144 \, x^{6} + 245889484278411189833195613987401279765924206559249102388797804808538611984375 \, x^{3} - 771225779807741020855977802972631216428368740202755221603971931588718036144\right)}}{3 \, {\left(15407513785538665202033017569552164636906896740149986002803824712402669144 \, x^{6} - 227351086091515241263579358841494627179170556108548407412281480599473216796875 \, x^{3} - 15407513785538665202033017569552164636906896740149986002803824712402669144\right)}}\right) - 5 \, x^{5} \log\left(\frac{x^{6} - x^{3} + 3 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{6} - 1\right)}^{\frac{2}{3}} x - 1}{x^{6} - x^{3} - 1}\right) - {\left(4 \, x^{6} + 15 \, x^{3} - 4\right)} {\left(x^{6} - 1\right)}^{\frac{2}{3}}}{10 \, x^{5}}"," ",0,"-1/10*(10*sqrt(3)*x^5*arctan(1/3*(473996388635948633452428917614298985996886224511260115036680453514888144148250*sqrt(3)*(x^6 - 1)^(1/3)*x^2 + 19325031480489228255674265966448835967818926087643600184123099965366515892788*sqrt(3)*(x^6 - 1)^(2/3)*x + sqrt(3)*(771225779807741020855977802972631216428368740202755221603971931588718036144*x^6 + 245889484278411189833195613987401279765924206559249102388797804808538611984375*x^3 - 771225779807741020855977802972631216428368740202755221603971931588718036144))/(15407513785538665202033017569552164636906896740149986002803824712402669144*x^6 - 227351086091515241263579358841494627179170556108548407412281480599473216796875*x^3 - 15407513785538665202033017569552164636906896740149986002803824712402669144)) - 5*x^5*log((x^6 - x^3 + 3*(x^6 - 1)^(1/3)*x^2 - 3*(x^6 - 1)^(2/3)*x - 1)/(x^6 - x^3 - 1)) - (4*x^6 + 15*x^3 - 4)*(x^6 - 1)^(2/3))/x^5","A",0
1451,-1,0,0,0.000000," ","integrate(1/(a*x^4+b)^(1/4)/(x^8+a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1452,-1,0,0,0.000000," ","integrate(1/(a*x^4+b)^(1/4)/(x^8+a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1453,-1,0,0,0.000000," ","integrate((a*x^4-b)/(a*x^4-b*x^2)^(1/4)/(2*x^8+2*a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1454,-1,0,0,0.000000," ","integrate((a*x^4-b)/(a*x^4-b*x^2)^(1/4)/(2*x^8+2*a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1455,1,60,0,0.848700," ","integrate((c*x^2-x*(a*x^2-b*x)^(1/2))^(1/2)/x^3,x, algorithm=""fricas"")","-\frac{4 \, \sqrt{c x^{2} - \sqrt{a x^{2} - b x} x} {\left({\left(2 \, c^{2} - 3 \, a\right)} x + \sqrt{a x^{2} - b x} c + 3 \, b\right)}}{15 \, b x^{2}}"," ",0,"-4/15*sqrt(c*x^2 - sqrt(a*x^2 - b*x)*x)*((2*c^2 - 3*a)*x + sqrt(a*x^2 - b*x)*c + 3*b)/(b*x^2)","A",0
1456,-1,0,0,0.000000," ","integrate(x/(x+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1457,-1,0,0,0.000000," ","integrate(x/(x+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1458,1,237,0,0.592917," ","integrate((1+x)/(x^2+2*x-2)/(x^3+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{2 \, \sqrt{3} - 3} \arctan\left(\frac{\sqrt{x^{3} + 1} \sqrt{2 \, \sqrt{3} - 3} {\left(\sqrt{3} + 2\right)}}{x^{2} - x + 1}\right) - \frac{1}{24} \, \sqrt{2 \, \sqrt{3} + 3} \log\left(\frac{x^{4} - 2 \, x^{3} + 6 \, x^{2} + 2 \, \sqrt{x^{3} + 1} {\left(2 \, x^{2} - \sqrt{3} {\left(x^{2} - 2 \, x\right)} - 2 \, x + 2\right)} \sqrt{2 \, \sqrt{3} + 3} + 4 \, \sqrt{3} {\left(x^{3} + 1\right)} + 4 \, x + 4}{x^{4} + 4 \, x^{3} - 8 \, x + 4}\right) + \frac{1}{24} \, \sqrt{2 \, \sqrt{3} + 3} \log\left(\frac{x^{4} - 2 \, x^{3} + 6 \, x^{2} - 2 \, \sqrt{x^{3} + 1} {\left(2 \, x^{2} - \sqrt{3} {\left(x^{2} - 2 \, x\right)} - 2 \, x + 2\right)} \sqrt{2 \, \sqrt{3} + 3} + 4 \, \sqrt{3} {\left(x^{3} + 1\right)} + 4 \, x + 4}{x^{4} + 4 \, x^{3} - 8 \, x + 4}\right)"," ",0,"1/6*sqrt(2*sqrt(3) - 3)*arctan(sqrt(x^3 + 1)*sqrt(2*sqrt(3) - 3)*(sqrt(3) + 2)/(x^2 - x + 1)) - 1/24*sqrt(2*sqrt(3) + 3)*log((x^4 - 2*x^3 + 6*x^2 + 2*sqrt(x^3 + 1)*(2*x^2 - sqrt(3)*(x^2 - 2*x) - 2*x + 2)*sqrt(2*sqrt(3) + 3) + 4*sqrt(3)*(x^3 + 1) + 4*x + 4)/(x^4 + 4*x^3 - 8*x + 4)) + 1/24*sqrt(2*sqrt(3) + 3)*log((x^4 - 2*x^3 + 6*x^2 - 2*sqrt(x^3 + 1)*(2*x^2 - sqrt(3)*(x^2 - 2*x) - 2*x + 2)*sqrt(2*sqrt(3) + 3) + 4*sqrt(3)*(x^3 + 1) + 4*x + 4)/(x^4 + 4*x^3 - 8*x + 4))","B",0
1459,1,250,0,0.586481," ","integrate((x^2+x+3)/(x^2+2*x-2)/(x^3+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{14 \, \sqrt{3} - 15} \arctan\left(\frac{\sqrt{x^{3} + 1} \sqrt{14 \, \sqrt{3} - 15} {\left(3 \, \sqrt{3} + 4\right)}}{11 \, {\left(x^{2} - x + 1\right)}}\right) + \frac{1}{24} \, \sqrt{14 \, \sqrt{3} + 15} \log\left(\frac{11 \, x^{4} - 22 \, x^{3} + 66 \, x^{2} + 2 \, \sqrt{x^{3} + 1} {\left(4 \, x^{2} - \sqrt{3} {\left(3 \, x^{2} - 2 \, x + 4\right)} - 10 \, x - 2\right)} \sqrt{14 \, \sqrt{3} + 15} + 44 \, \sqrt{3} {\left(x^{3} + 1\right)} + 44 \, x + 44}{x^{4} + 4 \, x^{3} - 8 \, x + 4}\right) - \frac{1}{24} \, \sqrt{14 \, \sqrt{3} + 15} \log\left(\frac{11 \, x^{4} - 22 \, x^{3} + 66 \, x^{2} - 2 \, \sqrt{x^{3} + 1} {\left(4 \, x^{2} - \sqrt{3} {\left(3 \, x^{2} - 2 \, x + 4\right)} - 10 \, x - 2\right)} \sqrt{14 \, \sqrt{3} + 15} + 44 \, \sqrt{3} {\left(x^{3} + 1\right)} + 44 \, x + 44}{x^{4} + 4 \, x^{3} - 8 \, x + 4}\right)"," ",0,"-1/6*sqrt(14*sqrt(3) - 15)*arctan(1/11*sqrt(x^3 + 1)*sqrt(14*sqrt(3) - 15)*(3*sqrt(3) + 4)/(x^2 - x + 1)) + 1/24*sqrt(14*sqrt(3) + 15)*log((11*x^4 - 22*x^3 + 66*x^2 + 2*sqrt(x^3 + 1)*(4*x^2 - sqrt(3)*(3*x^2 - 2*x + 4) - 10*x - 2)*sqrt(14*sqrt(3) + 15) + 44*sqrt(3)*(x^3 + 1) + 44*x + 44)/(x^4 + 4*x^3 - 8*x + 4)) - 1/24*sqrt(14*sqrt(3) + 15)*log((11*x^4 - 22*x^3 + 66*x^2 - 2*sqrt(x^3 + 1)*(4*x^2 - sqrt(3)*(3*x^2 - 2*x + 4) - 10*x - 2)*sqrt(14*sqrt(3) + 15) + 44*sqrt(3)*(x^3 + 1) + 44*x + 44)/(x^4 + 4*x^3 - 8*x + 4))","B",0
1460,1,250,0,0.581653," ","integrate((2*x^2-x+3)/(x^2+2*x-2)/(x^3+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{26 \, \sqrt{3} + 21} \arctan\left(\frac{\sqrt{x^{3} + 1} \sqrt{26 \, \sqrt{3} + 21} {\left(3 \, \sqrt{3} + 2\right)}}{23 \, {\left(x^{2} - x + 1\right)}}\right) + \frac{1}{24} \, \sqrt{26 \, \sqrt{3} - 21} \log\left(\frac{23 \, x^{4} - 46 \, x^{3} + 138 \, x^{2} + 2 \, \sqrt{x^{3} + 1} {\left(2 \, x^{2} - \sqrt{3} {\left(3 \, x^{2} + 2 \, x + 8\right)} - 14 \, x - 10\right)} \sqrt{26 \, \sqrt{3} - 21} + 92 \, \sqrt{3} {\left(x^{3} + 1\right)} + 92 \, x + 92}{x^{4} + 4 \, x^{3} - 8 \, x + 4}\right) - \frac{1}{24} \, \sqrt{26 \, \sqrt{3} - 21} \log\left(\frac{23 \, x^{4} - 46 \, x^{3} + 138 \, x^{2} - 2 \, \sqrt{x^{3} + 1} {\left(2 \, x^{2} - \sqrt{3} {\left(3 \, x^{2} + 2 \, x + 8\right)} - 14 \, x - 10\right)} \sqrt{26 \, \sqrt{3} - 21} + 92 \, \sqrt{3} {\left(x^{3} + 1\right)} + 92 \, x + 92}{x^{4} + 4 \, x^{3} - 8 \, x + 4}\right)"," ",0,"-1/6*sqrt(26*sqrt(3) + 21)*arctan(1/23*sqrt(x^3 + 1)*sqrt(26*sqrt(3) + 21)*(3*sqrt(3) + 2)/(x^2 - x + 1)) + 1/24*sqrt(26*sqrt(3) - 21)*log((23*x^4 - 46*x^3 + 138*x^2 + 2*sqrt(x^3 + 1)*(2*x^2 - sqrt(3)*(3*x^2 + 2*x + 8) - 14*x - 10)*sqrt(26*sqrt(3) - 21) + 92*sqrt(3)*(x^3 + 1) + 92*x + 92)/(x^4 + 4*x^3 - 8*x + 4)) - 1/24*sqrt(26*sqrt(3) - 21)*log((23*x^4 - 46*x^3 + 138*x^2 - 2*sqrt(x^3 + 1)*(2*x^2 - sqrt(3)*(3*x^2 + 2*x + 8) - 14*x - 10)*sqrt(26*sqrt(3) - 21) + 92*sqrt(3)*(x^3 + 1) + 92*x + 92)/(x^4 + 4*x^3 - 8*x + 4))","B",0
1461,1,112,0,0.975943," ","integrate((x^3-1)^(2/3)*(x^3+1)/x^3,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{2} \arctan\left(-\frac{25382 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} - 13720 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(5831 \, x^{3} - 7200\right)}}{58653 \, x^{3} - 8000}\right) - x^{2} \log\left(-3 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + 1\right) + 3 \, {\left(2 \, x^{3} - 3\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{18 \, x^{2}}"," ",0,"1/18*(2*sqrt(3)*x^2*arctan(-(25382*sqrt(3)*(x^3 - 1)^(1/3)*x^2 - 13720*sqrt(3)*(x^3 - 1)^(2/3)*x + sqrt(3)*(5831*x^3 - 7200))/(58653*x^3 - 8000)) - x^2*log(-3*(x^3 - 1)^(1/3)*x^2 + 3*(x^3 - 1)^(2/3)*x + 1) + 3*(2*x^3 - 3)*(x^3 - 1)^(2/3))/x^2","A",0
1462,1,239,0,0.535449," ","integrate(x^8*(a*x^4+b)^(3/4),x, algorithm=""fricas"")","\frac{60 \, \left(\frac{b^{12}}{a^{9}}\right)^{\frac{1}{4}} a^{2} \arctan\left(-\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}} \left(\frac{b^{12}}{a^{9}}\right)^{\frac{1}{4}} a^{2} b^{9} - \left(\frac{b^{12}}{a^{9}}\right)^{\frac{1}{4}} a^{2} x \sqrt{\frac{\sqrt{\frac{b^{12}}{a^{9}}} a^{5} b^{12} x^{2} + \sqrt{a x^{4} + b} b^{18}}{x^{2}}}}{b^{12} x}\right) + 15 \, \left(\frac{b^{12}}{a^{9}}\right)^{\frac{1}{4}} a^{2} \log\left(\frac{125 \, {\left({\left(a x^{4} + b\right)}^{\frac{1}{4}} b^{9} + \left(\frac{b^{12}}{a^{9}}\right)^{\frac{3}{4}} a^{7} x\right)}}{x}\right) - 15 \, \left(\frac{b^{12}}{a^{9}}\right)^{\frac{1}{4}} a^{2} \log\left(\frac{125 \, {\left({\left(a x^{4} + b\right)}^{\frac{1}{4}} b^{9} - \left(\frac{b^{12}}{a^{9}}\right)^{\frac{3}{4}} a^{7} x\right)}}{x}\right) + 4 \, {\left(32 \, a^{2} x^{9} + 12 \, a b x^{5} - 15 \, b^{2} x\right)} {\left(a x^{4} + b\right)}^{\frac{3}{4}}}{1536 \, a^{2}}"," ",0,"1/1536*(60*(b^12/a^9)^(1/4)*a^2*arctan(-((a*x^4 + b)^(1/4)*(b^12/a^9)^(1/4)*a^2*b^9 - (b^12/a^9)^(1/4)*a^2*x*sqrt((sqrt(b^12/a^9)*a^5*b^12*x^2 + sqrt(a*x^4 + b)*b^18)/x^2))/(b^12*x)) + 15*(b^12/a^9)^(1/4)*a^2*log(125*((a*x^4 + b)^(1/4)*b^9 + (b^12/a^9)^(3/4)*a^7*x)/x) - 15*(b^12/a^9)^(1/4)*a^2*log(125*((a*x^4 + b)^(1/4)*b^9 - (b^12/a^9)^(3/4)*a^7*x)/x) + 4*(32*a^2*x^9 + 12*a*b*x^5 - 15*b^2*x)*(a*x^4 + b)^(3/4))/a^2","B",0
1463,1,422,0,115.771472," ","integrate(1/(a*x^3-b)/(a*x^4+b*x)^(1/4),x, algorithm=""fricas"")","\frac{2}{3} \, \left(\frac{1}{2}\right)^{\frac{1}{4}} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}} \arctan\left(\frac{2 \, {\left(2 \, \left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(a x^{4} + b x\right)}^{\frac{3}{4}} a b^{3} \left(\frac{1}{a b^{4}}\right)^{\frac{3}{4}} + 2 \, \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(a x^{4} + b x\right)}^{\frac{1}{4}} a b x^{2} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}} + {\left(2 \, \left(\frac{1}{2}\right)^{\frac{1}{4}} \sqrt{a x^{4} + b x} a b x \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}} + \left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(3 \, a^{2} b^{3} x^{3} + a b^{4}\right)} \left(\frac{1}{a b^{4}}\right)^{\frac{3}{4}}\right)} \sqrt{\sqrt{\frac{1}{2}} b^{2} \sqrt{\frac{1}{a b^{4}}}}\right)}}{a x^{3} - b}\right) - \frac{1}{6} \, \left(\frac{1}{2}\right)^{\frac{1}{4}} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}} \log\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{3}{4}} \sqrt{a x^{4} + b x} a b^{3} x \left(\frac{1}{a b^{4}}\right)^{\frac{3}{4}} + 4 \, \sqrt{\frac{1}{2}} {\left(a x^{4} + b x\right)}^{\frac{1}{4}} a b^{2} x^{2} \sqrt{\frac{1}{a b^{4}}} + \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(3 \, a b x^{3} + b^{2}\right)} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}} + 2 \, {\left(a x^{4} + b x\right)}^{\frac{3}{4}}}{a x^{3} - b}\right) + \frac{1}{6} \, \left(\frac{1}{2}\right)^{\frac{1}{4}} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}} \log\left(-\frac{4 \, \left(\frac{1}{2}\right)^{\frac{3}{4}} \sqrt{a x^{4} + b x} a b^{3} x \left(\frac{1}{a b^{4}}\right)^{\frac{3}{4}} - 4 \, \sqrt{\frac{1}{2}} {\left(a x^{4} + b x\right)}^{\frac{1}{4}} a b^{2} x^{2} \sqrt{\frac{1}{a b^{4}}} + \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(3 \, a b x^{3} + b^{2}\right)} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}} - 2 \, {\left(a x^{4} + b x\right)}^{\frac{3}{4}}}{a x^{3} - b}\right)"," ",0,"2/3*(1/2)^(1/4)*(1/(a*b^4))^(1/4)*arctan(2*(2*(1/2)^(3/4)*(a*x^4 + b*x)^(3/4)*a*b^3*(1/(a*b^4))^(3/4) + 2*(1/2)^(1/4)*(a*x^4 + b*x)^(1/4)*a*b*x^2*(1/(a*b^4))^(1/4) + (2*(1/2)^(1/4)*sqrt(a*x^4 + b*x)*a*b*x*(1/(a*b^4))^(1/4) + (1/2)^(3/4)*(3*a^2*b^3*x^3 + a*b^4)*(1/(a*b^4))^(3/4))*sqrt(sqrt(1/2)*b^2*sqrt(1/(a*b^4))))/(a*x^3 - b)) - 1/6*(1/2)^(1/4)*(1/(a*b^4))^(1/4)*log((4*(1/2)^(3/4)*sqrt(a*x^4 + b*x)*a*b^3*x*(1/(a*b^4))^(3/4) + 4*sqrt(1/2)*(a*x^4 + b*x)^(1/4)*a*b^2*x^2*sqrt(1/(a*b^4)) + (1/2)^(1/4)*(3*a*b*x^3 + b^2)*(1/(a*b^4))^(1/4) + 2*(a*x^4 + b*x)^(3/4))/(a*x^3 - b)) + 1/6*(1/2)^(1/4)*(1/(a*b^4))^(1/4)*log(-(4*(1/2)^(3/4)*sqrt(a*x^4 + b*x)*a*b^3*x*(1/(a*b^4))^(3/4) - 4*sqrt(1/2)*(a*x^4 + b*x)^(1/4)*a*b^2*x^2*sqrt(1/(a*b^4)) + (1/2)^(1/4)*(3*a*b*x^3 + b^2)*(1/(a*b^4))^(1/4) - 2*(a*x^4 + b*x)^(3/4))/(a*x^3 - b))","B",0
1464,-2,0,0,0.000000," ","integrate((x^3-2)*(x^3+1)^(2/3)/x^3/(2*x^6+x^3-2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1465,-2,0,0,0.000000," ","integrate((x^3-2)*(x^3+1)^(2/3)/x^3/(2*x^6+x^3-2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1466,1,112,0,4.014486," ","integrate(x^2*(x^4-2)/(x^5-x)^(1/3)/(x^8+x^4-1),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x^{8} + 2 \, \sqrt{3} {\left(x^{5} - x\right)}^{\frac{1}{3}} x^{5} + 4 \, \sqrt{3} {\left(x^{5} - x\right)}^{\frac{2}{3}} x^{2}}{x^{8} - 8 \, x^{4} + 8}\right) + \frac{1}{8} \, \log\left(\frac{x^{8} + 3 \, {\left(x^{5} - x\right)}^{\frac{1}{3}} x^{5} + x^{4} + 3 \, {\left(x^{5} - x\right)}^{\frac{2}{3}} x^{2} - 1}{x^{8} + x^{4} - 1}\right)"," ",0,"-1/4*sqrt(3)*arctan((sqrt(3)*x^8 + 2*sqrt(3)*(x^5 - x)^(1/3)*x^5 + 4*sqrt(3)*(x^5 - x)^(2/3)*x^2)/(x^8 - 8*x^4 + 8)) + 1/8*log((x^8 + 3*(x^5 - x)^(1/3)*x^5 + x^4 + 3*(x^5 - x)^(2/3)*x^2 - 1)/(x^8 + x^4 - 1))","A",0
1467,-1,0,0,0.000000," ","integrate((2*a*x^4-b)/(a*x^4-b)^(1/4)/(x^8-a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1468,-1,0,0,0.000000," ","integrate((a*x^4-2*b)/(a*x^4+b)^(1/4)/(x^8+a*x^4-2*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1469,1,335,0,1.029675," ","integrate(1/x^2/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, a \sqrt{b} x \arctan\left(\frac{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}{\sqrt{b}}\right) + a \sqrt{b} x \log\left(\frac{b^{2} - \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} {\left({\left(a x - b\right)} \sqrt{b} - \sqrt{a^{2} x^{2} + b^{2}} \sqrt{b}\right)} + \sqrt{a^{2} x^{2} + b^{2}} b}{x}\right) + 2 \, \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} {\left(a x - \sqrt{a^{2} x^{2} + b^{2}}\right)}}{2 \, b^{2} x}, -\frac{2 \, a \sqrt{-b} x \arctan\left(\frac{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} \sqrt{-b}}{b}\right) + a \sqrt{-b} x \log\left(-\frac{b^{2} + \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} {\left({\left(a x + b\right)} \sqrt{-b} - \sqrt{a^{2} x^{2} + b^{2}} \sqrt{-b}\right)} - \sqrt{a^{2} x^{2} + b^{2}} b}{x}\right) - 2 \, \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} {\left(a x - \sqrt{a^{2} x^{2} + b^{2}}\right)}}{2 \, b^{2} x}\right]"," ",0,"[1/2*(2*a*sqrt(b)*x*arctan(sqrt(a*x + sqrt(a^2*x^2 + b^2))/sqrt(b)) + a*sqrt(b)*x*log((b^2 - sqrt(a*x + sqrt(a^2*x^2 + b^2))*((a*x - b)*sqrt(b) - sqrt(a^2*x^2 + b^2)*sqrt(b)) + sqrt(a^2*x^2 + b^2)*b)/x) + 2*sqrt(a*x + sqrt(a^2*x^2 + b^2))*(a*x - sqrt(a^2*x^2 + b^2)))/(b^2*x), -1/2*(2*a*sqrt(-b)*x*arctan(sqrt(a*x + sqrt(a^2*x^2 + b^2))*sqrt(-b)/b) + a*sqrt(-b)*x*log(-(b^2 + sqrt(a*x + sqrt(a^2*x^2 + b^2))*((a*x + b)*sqrt(-b) - sqrt(a^2*x^2 + b^2)*sqrt(-b)) - sqrt(a^2*x^2 + b^2)*b)/x) - 2*sqrt(a*x + sqrt(a^2*x^2 + b^2))*(a*x - sqrt(a^2*x^2 + b^2)))/(b^2*x)]","A",0
1470,1,93,0,1.071471," ","integrate((x^3-1)^(1/3)/x^10,x, algorithm=""fricas"")","\frac{10 \, \sqrt{3} x^{9} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) - 5 \, x^{9} \log\left({\left(x^{3} - 1\right)}^{\frac{2}{3}} - {\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) + 10 \, x^{9} \log\left({\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) + 3 \, {\left(5 \, x^{6} + 3 \, x^{3} - 18\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{486 \, x^{9}}"," ",0,"1/486*(10*sqrt(3)*x^9*arctan(2/3*sqrt(3)*(x^3 - 1)^(1/3) - 1/3*sqrt(3)) - 5*x^9*log((x^3 - 1)^(2/3) - (x^3 - 1)^(1/3) + 1) + 10*x^9*log((x^3 - 1)^(1/3) + 1) + 3*(5*x^6 + 3*x^3 - 18)*(x^3 - 1)^(1/3))/x^9","A",0
1471,1,96,0,0.987711," ","integrate(x^4*(x^3-1)^(1/3),x, algorithm=""fricas"")","-\frac{1}{27} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{1}{18} \, {\left(3 \, x^{5} - x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}} + \frac{1}{27} \, \log\left(-\frac{x - {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{54} \, \log\left(\frac{x^{2} + {\left(x^{3} - 1\right)}^{\frac{1}{3}} x + {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-1/27*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 - 1)^(1/3))/x) + 1/18*(3*x^5 - x^2)*(x^3 - 1)^(1/3) + 1/27*log(-(x - (x^3 - 1)^(1/3))/x) - 1/54*log((x^2 + (x^3 - 1)^(1/3)*x + (x^3 - 1)^(2/3))/x^2)","A",0
1472,1,99,0,1.061162," ","integrate((x^3-x)^(1/3),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \arctan\left(-\frac{44032959556 \, \sqrt{3} {\left(x^{3} - x\right)}^{\frac{1}{3}} x + \sqrt{3} {\left(16754327161 \, x^{2} - 2707204793\right)} - 10524305234 \, \sqrt{3} {\left(x^{3} - x\right)}^{\frac{2}{3}}}{81835897185 \, x^{2} - 1102302937}\right) + \frac{1}{2} \, {\left(x^{3} - x\right)}^{\frac{1}{3}} x + \frac{1}{12} \, \log\left(-3 \, {\left(x^{3} - x\right)}^{\frac{1}{3}} x + 3 \, {\left(x^{3} - x\right)}^{\frac{2}{3}} + 1\right)"," ",0,"1/6*sqrt(3)*arctan(-(44032959556*sqrt(3)*(x^3 - x)^(1/3)*x + sqrt(3)*(16754327161*x^2 - 2707204793) - 10524305234*sqrt(3)*(x^3 - x)^(2/3))/(81835897185*x^2 - 1102302937)) + 1/2*(x^3 - x)^(1/3)*x + 1/12*log(-3*(x^3 - x)^(1/3)*x + 3*(x^3 - x)^(2/3) + 1)","A",0
1473,1,93,0,0.543377," ","integrate((x^3-1)^(1/3)*(2*x^3-1)/x^10,x, algorithm=""fricas"")","\frac{26 \, \sqrt{3} x^{9} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) - 13 \, x^{9} \log\left({\left(x^{3} - 1\right)}^{\frac{2}{3}} - {\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) + 26 \, x^{9} \log\left({\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) + 3 \, {\left(13 \, x^{6} - 57 \, x^{3} + 18\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{486 \, x^{9}}"," ",0,"1/486*(26*sqrt(3)*x^9*arctan(2/3*sqrt(3)*(x^3 - 1)^(1/3) - 1/3*sqrt(3)) - 13*x^9*log((x^3 - 1)^(2/3) - (x^3 - 1)^(1/3) + 1) + 26*x^9*log((x^3 - 1)^(1/3) + 1) + 3*(13*x^6 - 57*x^3 + 18)*(x^3 - 1)^(1/3))/x^9","A",0
1474,1,207,0,0.675951," ","integrate((k^3*x^3+1)/((1-x)*x*(-k^2*x+1))^(1/2)/(k^3*x^3-1),x, algorithm=""fricas"")","\frac{2 \, \sqrt{k^{2} + k + 1} {\left(k - 1\right)} \arctan\left(\frac{\sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - {\left(2 \, k^{2} + k + 2\right)} x + 1\right)} \sqrt{k^{2} + k + 1}}{2 \, {\left({\left(k^{4} + k^{3} + k^{2}\right)} x^{3} - {\left(k^{4} + k^{3} + 2 \, k^{2} + k + 1\right)} x^{2} + {\left(k^{2} + k + 1\right)} x\right)}}\right) + {\left(k^{2} + k + 1\right)} \arctan\left(\frac{\sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 2 \, {\left(k^{2} - k + 1\right)} x + 1\right)}}{2 \, {\left({\left(k^{3} - k^{2}\right)} x^{3} - {\left(k^{3} - k^{2} + k - 1\right)} x^{2} + {\left(k - 1\right)} x\right)}}\right)}{3 \, {\left(k^{3} - 1\right)}}"," ",0,"1/3*(2*sqrt(k^2 + k + 1)*(k - 1)*arctan(1/2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - (2*k^2 + k + 2)*x + 1)*sqrt(k^2 + k + 1)/((k^4 + k^3 + k^2)*x^3 - (k^4 + k^3 + 2*k^2 + k + 1)*x^2 + (k^2 + k + 1)*x)) + (k^2 + k + 1)*arctan(1/2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 2*(k^2 - k + 1)*x + 1)/((k^3 - k^2)*x^3 - (k^3 - k^2 + k - 1)*x^2 + (k - 1)*x)))/(k^3 - 1)","B",0
1475,1,146,0,3.187150," ","integrate((x^4-3)*(x^4+1)^(2/3)*(x^4+2*x^3+1)/x^6/(x^4-x^3+1),x, algorithm=""fricas"")","-\frac{3 \, {\left(10 \, \sqrt{3} x^{5} \arctan\left(-\frac{13034 \, \sqrt{3} {\left(x^{4} + 1\right)}^{\frac{1}{3}} x^{2} - 686 \, \sqrt{3} {\left(x^{4} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(37 \, x^{4} + 6137 \, x^{3} + 37\right)}}{3 \, {\left(x^{4} + 6859 \, x^{3} + 1\right)}}\right) - 5 \, x^{5} \log\left(\frac{x^{4} - x^{3} + 3 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{4} + 1\right)}^{\frac{2}{3}} x + 1}{x^{4} - x^{3} + 1}\right) - {\left(2 \, x^{4} + 15 \, x^{3} + 2\right)} {\left(x^{4} + 1\right)}^{\frac{2}{3}}\right)}}{10 \, x^{5}}"," ",0,"-3/10*(10*sqrt(3)*x^5*arctan(-1/3*(13034*sqrt(3)*(x^4 + 1)^(1/3)*x^2 - 686*sqrt(3)*(x^4 + 1)^(2/3)*x + sqrt(3)*(37*x^4 + 6137*x^3 + 37))/(x^4 + 6859*x^3 + 1)) - 5*x^5*log((x^4 - x^3 + 3*(x^4 + 1)^(1/3)*x^2 - 3*(x^4 + 1)^(2/3)*x + 1)/(x^4 - x^3 + 1)) - (2*x^4 + 15*x^3 + 2)*(x^4 + 1)^(2/3))/x^5","A",0
1476,1,474,0,63.204161," ","integrate((a*x^4+b)^(3/4)/x^4/(a*x^4+2*b),x, algorithm=""fricas"")","-\frac{12 \, \left(\frac{1}{8}\right)^{\frac{1}{4}} b x^{3} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} \arctan\left(-\frac{4 \, {\left(\left(\frac{1}{8}\right)^{\frac{1}{4}} {\left(a x^{4} + b\right)}^{\frac{1}{4}} a^{4} b x^{3} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} + 4 \, \left(\frac{1}{8}\right)^{\frac{3}{4}} {\left(a x^{4} + b\right)}^{\frac{3}{4}} a^{2} b^{3} x \left(\frac{a^{3}}{b^{4}}\right)^{\frac{3}{4}} - 2 \, \sqrt{\frac{1}{2}} {\left(\left(\frac{1}{8}\right)^{\frac{1}{4}} \sqrt{a x^{4} + b} a^{2} b x^{2} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} + \left(\frac{1}{8}\right)^{\frac{3}{4}} {\left(3 \, a b^{3} x^{4} + 2 \, b^{4}\right)} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{3}{4}}\right)} \sqrt{\sqrt{\frac{1}{2}} a^{2} b^{2} \sqrt{\frac{a^{3}}{b^{4}}}}\right)}}{a^{5} x^{4} + 2 \, a^{4} b}\right) - 3 \, \left(\frac{1}{8}\right)^{\frac{1}{4}} b x^{3} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} \log\left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a x^{4} + b\right)}^{\frac{1}{4}} a b^{2} x^{3} \sqrt{\frac{a^{3}}{b^{4}}} + 8 \, \left(\frac{1}{8}\right)^{\frac{3}{4}} \sqrt{a x^{4} + b} b^{3} x^{2} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{3}{4}} + 2 \, {\left(a x^{4} + b\right)}^{\frac{3}{4}} a^{2} x + \left(\frac{1}{8}\right)^{\frac{1}{4}} {\left(3 \, a^{2} b x^{4} + 2 \, a b^{2}\right)} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}}}{2 \, {\left(a x^{4} + 2 \, b\right)}}\right) + 3 \, \left(\frac{1}{8}\right)^{\frac{1}{4}} b x^{3} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} \log\left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a x^{4} + b\right)}^{\frac{1}{4}} a b^{2} x^{3} \sqrt{\frac{a^{3}}{b^{4}}} - 8 \, \left(\frac{1}{8}\right)^{\frac{3}{4}} \sqrt{a x^{4} + b} b^{3} x^{2} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{3}{4}} + 2 \, {\left(a x^{4} + b\right)}^{\frac{3}{4}} a^{2} x - \left(\frac{1}{8}\right)^{\frac{1}{4}} {\left(3 \, a^{2} b x^{4} + 2 \, a b^{2}\right)} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}}}{2 \, {\left(a x^{4} + 2 \, b\right)}}\right) + 8 \, {\left(a x^{4} + b\right)}^{\frac{3}{4}}}{48 \, b x^{3}}"," ",0,"-1/48*(12*(1/8)^(1/4)*b*x^3*(a^3/b^4)^(1/4)*arctan(-4*((1/8)^(1/4)*(a*x^4 + b)^(1/4)*a^4*b*x^3*(a^3/b^4)^(1/4) + 4*(1/8)^(3/4)*(a*x^4 + b)^(3/4)*a^2*b^3*x*(a^3/b^4)^(3/4) - 2*sqrt(1/2)*((1/8)^(1/4)*sqrt(a*x^4 + b)*a^2*b*x^2*(a^3/b^4)^(1/4) + (1/8)^(3/4)*(3*a*b^3*x^4 + 2*b^4)*(a^3/b^4)^(3/4))*sqrt(sqrt(1/2)*a^2*b^2*sqrt(a^3/b^4)))/(a^5*x^4 + 2*a^4*b)) - 3*(1/8)^(1/4)*b*x^3*(a^3/b^4)^(1/4)*log(1/2*(2*sqrt(1/2)*(a*x^4 + b)^(1/4)*a*b^2*x^3*sqrt(a^3/b^4) + 8*(1/8)^(3/4)*sqrt(a*x^4 + b)*b^3*x^2*(a^3/b^4)^(3/4) + 2*(a*x^4 + b)^(3/4)*a^2*x + (1/8)^(1/4)*(3*a^2*b*x^4 + 2*a*b^2)*(a^3/b^4)^(1/4))/(a*x^4 + 2*b)) + 3*(1/8)^(1/4)*b*x^3*(a^3/b^4)^(1/4)*log(1/2*(2*sqrt(1/2)*(a*x^4 + b)^(1/4)*a*b^2*x^3*sqrt(a^3/b^4) - 8*(1/8)^(3/4)*sqrt(a*x^4 + b)*b^3*x^2*(a^3/b^4)^(3/4) + 2*(a*x^4 + b)^(3/4)*a^2*x - (1/8)^(1/4)*(3*a^2*b*x^4 + 2*a*b^2)*(a^3/b^4)^(1/4))/(a*x^4 + 2*b)) + 8*(a*x^4 + b)^(3/4))/(b*x^3)","B",0
1477,-1,0,0,0.000000," ","integrate((a*x^3-b)/x^3/(a*x^4-b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1478,-1,0,0,0.000000," ","integrate((a*x^3+b)/x^3/(a*x^4-b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1479,-1,0,0,0.000000," ","integrate((a*x^4-b*x)^(1/4)/x^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1480,-1,0,0,0.000000," ","integrate(1/(x^4-a*x^2+b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1481,-1,0,0,0.000000," ","integrate(1/(x^4-a*x^2+b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1482,-1,0,0,0.000000," ","integrate((a*x^4-b)/x^4/(2*a*x^4-b)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1483,-1,0,0,0.000000," ","integrate(x^4*(a*x^5+4*b)/(a*x^5-b)^2/(a*x^5+c*x^4-b)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1484,1,93,0,0.747283," ","integrate(1/x^19/(x^6-1)^(1/3),x, algorithm=""fricas"")","\frac{28 \, \sqrt{3} x^{18} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) + 14 \, x^{18} \log\left({\left(x^{6} - 1\right)}^{\frac{2}{3}} - {\left(x^{6} - 1\right)}^{\frac{1}{3}} + 1\right) - 28 \, x^{18} \log\left({\left(x^{6} - 1\right)}^{\frac{1}{3}} + 1\right) + 3 \, {\left(28 \, x^{12} + 21 \, x^{6} + 18\right)} {\left(x^{6} - 1\right)}^{\frac{2}{3}}}{972 \, x^{18}}"," ",0,"1/972*(28*sqrt(3)*x^18*arctan(2/3*sqrt(3)*(x^6 - 1)^(1/3) - 1/3*sqrt(3)) + 14*x^18*log((x^6 - 1)^(2/3) - (x^6 - 1)^(1/3) + 1) - 28*x^18*log((x^6 - 1)^(1/3) + 1) + 3*(28*x^12 + 21*x^6 + 18)*(x^6 - 1)^(2/3))/x^18","A",0
1485,1,94,0,0.718786," ","integrate(x^7/(x^6-1)^(1/3),x, algorithm=""fricas"")","\frac{1}{6} \, {\left(x^{6} - 1\right)}^{\frac{2}{3}} x^{2} - \frac{1}{18} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x^{2} + 2 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{3 \, x^{2}}\right) - \frac{1}{18} \, \log\left(-\frac{x^{2} - {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}}\right) + \frac{1}{36} \, \log\left(\frac{x^{4} + {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{2} + {\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}}\right)"," ",0,"1/6*(x^6 - 1)^(2/3)*x^2 - 1/18*sqrt(3)*arctan(1/3*(sqrt(3)*x^2 + 2*sqrt(3)*(x^6 - 1)^(1/3))/x^2) - 1/18*log(-(x^2 - (x^6 - 1)^(1/3))/x^2) + 1/36*log((x^4 + (x^6 - 1)^(1/3)*x^2 + (x^6 - 1)^(2/3))/x^4)","A",0
1486,1,94,0,0.690248," ","integrate(x^3*(x^6-1)^(1/3),x, algorithm=""fricas"")","\frac{1}{6} \, {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{4} - \frac{1}{18} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x^{2} + 2 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{3 \, x^{2}}\right) + \frac{1}{18} \, \log\left(-\frac{x^{2} - {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}}\right) - \frac{1}{36} \, \log\left(\frac{x^{4} + {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{2} + {\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}}\right)"," ",0,"1/6*(x^6 - 1)^(1/3)*x^4 - 1/18*sqrt(3)*arctan(1/3*(sqrt(3)*x^2 + 2*sqrt(3)*(x^6 - 1)^(1/3))/x^2) + 1/18*log(-(x^2 - (x^6 - 1)^(1/3))/x^2) - 1/36*log((x^4 + (x^6 - 1)^(1/3)*x^2 + (x^6 - 1)^(2/3))/x^4)","A",0
1487,1,94,0,0.844517," ","integrate(x*(x^6-1)^(2/3),x, algorithm=""fricas"")","\frac{1}{6} \, {\left(x^{6} - 1\right)}^{\frac{2}{3}} x^{2} + \frac{1}{9} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x^{2} + 2 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{3 \, x^{2}}\right) + \frac{1}{9} \, \log\left(-\frac{x^{2} - {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}}\right) - \frac{1}{18} \, \log\left(\frac{x^{4} + {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{2} + {\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}}\right)"," ",0,"1/6*(x^6 - 1)^(2/3)*x^2 + 1/9*sqrt(3)*arctan(1/3*(sqrt(3)*x^2 + 2*sqrt(3)*(x^6 - 1)^(1/3))/x^2) + 1/9*log(-(x^2 - (x^6 - 1)^(1/3))/x^2) - 1/18*log((x^4 + (x^6 - 1)^(1/3)*x^2 + (x^6 - 1)^(2/3))/x^4)","A",0
1488,1,94,0,0.606470," ","integrate(x^7/(x^6+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{6} \, {\left(x^{6} + 1\right)}^{\frac{2}{3}} x^{2} + \frac{1}{18} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x^{2} + 2 \, \sqrt{3} {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{3 \, x^{2}}\right) + \frac{1}{18} \, \log\left(-\frac{x^{2} - {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}}\right) - \frac{1}{36} \, \log\left(\frac{x^{4} + {\left(x^{6} + 1\right)}^{\frac{1}{3}} x^{2} + {\left(x^{6} + 1\right)}^{\frac{2}{3}}}{x^{4}}\right)"," ",0,"1/6*(x^6 + 1)^(2/3)*x^2 + 1/18*sqrt(3)*arctan(1/3*(sqrt(3)*x^2 + 2*sqrt(3)*(x^6 + 1)^(1/3))/x^2) + 1/18*log(-(x^2 - (x^6 + 1)^(1/3))/x^2) - 1/36*log((x^4 + (x^6 + 1)^(1/3)*x^2 + (x^6 + 1)^(2/3))/x^4)","A",0
1489,1,94,0,0.605081," ","integrate(x^3*(x^6+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{6} \, {\left(x^{6} + 1\right)}^{\frac{1}{3}} x^{4} + \frac{1}{18} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x^{2} + 2 \, \sqrt{3} {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{3 \, x^{2}}\right) - \frac{1}{18} \, \log\left(-\frac{x^{2} - {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}}\right) + \frac{1}{36} \, \log\left(\frac{x^{4} + {\left(x^{6} + 1\right)}^{\frac{1}{3}} x^{2} + {\left(x^{6} + 1\right)}^{\frac{2}{3}}}{x^{4}}\right)"," ",0,"1/6*(x^6 + 1)^(1/3)*x^4 + 1/18*sqrt(3)*arctan(1/3*(sqrt(3)*x^2 + 2*sqrt(3)*(x^6 + 1)^(1/3))/x^2) - 1/18*log(-(x^2 - (x^6 + 1)^(1/3))/x^2) + 1/36*log((x^4 + (x^6 + 1)^(1/3)*x^2 + (x^6 + 1)^(2/3))/x^4)","A",0
1490,1,94,0,0.655944," ","integrate(x*(x^6+1)^(2/3),x, algorithm=""fricas"")","\frac{1}{6} \, {\left(x^{6} + 1\right)}^{\frac{2}{3}} x^{2} - \frac{1}{9} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x^{2} + 2 \, \sqrt{3} {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{3 \, x^{2}}\right) - \frac{1}{9} \, \log\left(-\frac{x^{2} - {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}}\right) + \frac{1}{18} \, \log\left(\frac{x^{4} + {\left(x^{6} + 1\right)}^{\frac{1}{3}} x^{2} + {\left(x^{6} + 1\right)}^{\frac{2}{3}}}{x^{4}}\right)"," ",0,"1/6*(x^6 + 1)^(2/3)*x^2 - 1/9*sqrt(3)*arctan(1/3*(sqrt(3)*x^2 + 2*sqrt(3)*(x^6 + 1)^(1/3))/x^2) - 1/9*log(-(x^2 - (x^6 + 1)^(1/3))/x^2) + 1/18*log((x^4 + (x^6 + 1)^(1/3)*x^2 + (x^6 + 1)^(2/3))/x^4)","A",0
1491,1,682,0,156.507568," ","integrate((x^5-x^3+1)*(2*x^5-3)/x^3/(x^5+x^3+1)/(x^6+x)^(1/4),x, algorithm=""fricas"")","\frac{12 \, \sqrt{2} x^{3} \arctan\left(\frac{x^{10} + 2 \, x^{8} + x^{6} + 2 \, x^{5} + 2 \, x^{3} + 2 \, \sqrt{2} {\left(x^{6} + x\right)}^{\frac{3}{4}} {\left(x^{5} - 3 \, x^{3} + 1\right)} + 2 \, \sqrt{2} {\left(3 \, x^{7} - x^{5} + 3 \, x^{2}\right)} {\left(x^{6} + x\right)}^{\frac{1}{4}} + 4 \, {\left(x^{6} + x^{4} + x\right)} \sqrt{x^{6} + x} + {\left(16 \, {\left(x^{6} + x\right)}^{\frac{3}{4}} x^{3} + 2 \, \sqrt{2} {\left(x^{6} - 3 \, x^{4} + x\right)} \sqrt{x^{6} + x} + \sqrt{2} {\left(x^{10} - 8 \, x^{8} - x^{6} + 2 \, x^{5} - 8 \, x^{3} + 1\right)} + 4 \, {\left(x^{7} + x^{5} + x^{2}\right)} {\left(x^{6} + x\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{5} + x^{3} + 2 \, \sqrt{2} {\left(x^{6} + x\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{x^{6} + x} x + 2 \, \sqrt{2} {\left(x^{6} + x\right)}^{\frac{3}{4}} + 1}{x^{5} + x^{3} + 1}} + 1}{x^{10} - 14 \, x^{8} + x^{6} + 2 \, x^{5} - 14 \, x^{3} + 1}\right) - 12 \, \sqrt{2} x^{3} \arctan\left(\frac{x^{10} + 2 \, x^{8} + x^{6} + 2 \, x^{5} + 2 \, x^{3} - 2 \, \sqrt{2} {\left(x^{6} + x\right)}^{\frac{3}{4}} {\left(x^{5} - 3 \, x^{3} + 1\right)} - 2 \, \sqrt{2} {\left(3 \, x^{7} - x^{5} + 3 \, x^{2}\right)} {\left(x^{6} + x\right)}^{\frac{1}{4}} + 4 \, {\left(x^{6} + x^{4} + x\right)} \sqrt{x^{6} + x} + {\left(16 \, {\left(x^{6} + x\right)}^{\frac{3}{4}} x^{3} - 2 \, \sqrt{2} {\left(x^{6} - 3 \, x^{4} + x\right)} \sqrt{x^{6} + x} - \sqrt{2} {\left(x^{10} - 8 \, x^{8} - x^{6} + 2 \, x^{5} - 8 \, x^{3} + 1\right)} + 4 \, {\left(x^{7} + x^{5} + x^{2}\right)} {\left(x^{6} + x\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{5} + x^{3} - 2 \, \sqrt{2} {\left(x^{6} + x\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{x^{6} + x} x - 2 \, \sqrt{2} {\left(x^{6} + x\right)}^{\frac{3}{4}} + 1}{x^{5} + x^{3} + 1}} + 1}{x^{10} - 14 \, x^{8} + x^{6} + 2 \, x^{5} - 14 \, x^{3} + 1}\right) + 3 \, \sqrt{2} x^{3} \log\left(\frac{4 \, {\left(x^{5} + x^{3} + 2 \, \sqrt{2} {\left(x^{6} + x\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{x^{6} + x} x + 2 \, \sqrt{2} {\left(x^{6} + x\right)}^{\frac{3}{4}} + 1\right)}}{x^{5} + x^{3} + 1}\right) - 3 \, \sqrt{2} x^{3} \log\left(\frac{4 \, {\left(x^{5} + x^{3} - 2 \, \sqrt{2} {\left(x^{6} + x\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{x^{6} + x} x - 2 \, \sqrt{2} {\left(x^{6} + x\right)}^{\frac{3}{4}} + 1\right)}}{x^{5} + x^{3} + 1}\right) + 8 \, {\left(x^{6} + x\right)}^{\frac{3}{4}}}{6 \, x^{3}}"," ",0,"1/6*(12*sqrt(2)*x^3*arctan((x^10 + 2*x^8 + x^6 + 2*x^5 + 2*x^3 + 2*sqrt(2)*(x^6 + x)^(3/4)*(x^5 - 3*x^3 + 1) + 2*sqrt(2)*(3*x^7 - x^5 + 3*x^2)*(x^6 + x)^(1/4) + 4*(x^6 + x^4 + x)*sqrt(x^6 + x) + (16*(x^6 + x)^(3/4)*x^3 + 2*sqrt(2)*(x^6 - 3*x^4 + x)*sqrt(x^6 + x) + sqrt(2)*(x^10 - 8*x^8 - x^6 + 2*x^5 - 8*x^3 + 1) + 4*(x^7 + x^5 + x^2)*(x^6 + x)^(1/4))*sqrt((x^5 + x^3 + 2*sqrt(2)*(x^6 + x)^(1/4)*x^2 + 4*sqrt(x^6 + x)*x + 2*sqrt(2)*(x^6 + x)^(3/4) + 1)/(x^5 + x^3 + 1)) + 1)/(x^10 - 14*x^8 + x^6 + 2*x^5 - 14*x^3 + 1)) - 12*sqrt(2)*x^3*arctan((x^10 + 2*x^8 + x^6 + 2*x^5 + 2*x^3 - 2*sqrt(2)*(x^6 + x)^(3/4)*(x^5 - 3*x^3 + 1) - 2*sqrt(2)*(3*x^7 - x^5 + 3*x^2)*(x^6 + x)^(1/4) + 4*(x^6 + x^4 + x)*sqrt(x^6 + x) + (16*(x^6 + x)^(3/4)*x^3 - 2*sqrt(2)*(x^6 - 3*x^4 + x)*sqrt(x^6 + x) - sqrt(2)*(x^10 - 8*x^8 - x^6 + 2*x^5 - 8*x^3 + 1) + 4*(x^7 + x^5 + x^2)*(x^6 + x)^(1/4))*sqrt((x^5 + x^3 - 2*sqrt(2)*(x^6 + x)^(1/4)*x^2 + 4*sqrt(x^6 + x)*x - 2*sqrt(2)*(x^6 + x)^(3/4) + 1)/(x^5 + x^3 + 1)) + 1)/(x^10 - 14*x^8 + x^6 + 2*x^5 - 14*x^3 + 1)) + 3*sqrt(2)*x^3*log(4*(x^5 + x^3 + 2*sqrt(2)*(x^6 + x)^(1/4)*x^2 + 4*sqrt(x^6 + x)*x + 2*sqrt(2)*(x^6 + x)^(3/4) + 1)/(x^5 + x^3 + 1)) - 3*sqrt(2)*x^3*log(4*(x^5 + x^3 - 2*sqrt(2)*(x^6 + x)^(1/4)*x^2 + 4*sqrt(x^6 + x)*x - 2*sqrt(2)*(x^6 + x)^(3/4) + 1)/(x^5 + x^3 + 1)) + 8*(x^6 + x)^(3/4))/x^3","B",0
1492,1,99,0,0.987663," ","integrate(x/(x^6-x^2)^(1/3),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{3} \arctan\left(-\frac{44032959556 \, \sqrt{3} {\left(x^{6} - x^{2}\right)}^{\frac{1}{3}} x^{2} + \sqrt{3} {\left(16754327161 \, x^{4} - 2707204793\right)} - 10524305234 \, \sqrt{3} {\left(x^{6} - x^{2}\right)}^{\frac{2}{3}}}{81835897185 \, x^{4} - 1102302937}\right) - \frac{1}{8} \, \log\left(-3 \, {\left(x^{6} - x^{2}\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{6} - x^{2}\right)}^{\frac{2}{3}} + 1\right)"," ",0,"1/4*sqrt(3)*arctan(-(44032959556*sqrt(3)*(x^6 - x^2)^(1/3)*x^2 + sqrt(3)*(16754327161*x^4 - 2707204793) - 10524305234*sqrt(3)*(x^6 - x^2)^(2/3))/(81835897185*x^4 - 1102302937)) - 1/8*log(-3*(x^6 - x^2)^(1/3)*x^2 + 3*(x^6 - x^2)^(2/3) + 1)","A",0
1493,-2,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^3+2)/x^3/(x^6+x^3-4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1494,-2,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^3+2)/x^3/(x^6+x^3-4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1495,1,2090,0,6.342888," ","integrate((-3+2*x)*(x^3-x+1)^(2/3)/(2*x^6-2*x^4+2*x^3+x^2-2*x+1),x, algorithm=""fricas"")","-\frac{1}{8} \, \sqrt{3} \log\left(\frac{8 \, {\left(2 \, x^{6} - 2 \, x^{4} + 2 \, x^{3} + x^{2} + 2 \, {\left(3 \, x^{4} + \sqrt{3} {\left(x^{4} - x^{2} + x\right)}\right)} {\left(x^{3} - x + 1\right)}^{\frac{2}{3}} + 4 \, \sqrt{3} {\left(x^{6} - x^{4} + x^{3}\right)} + 2 \, {\left(\sqrt{3} x^{5} + 3 \, x^{5} - 3 \, x^{3} + 3 \, x^{2}\right)} {\left(x^{3} - x + 1\right)}^{\frac{1}{3}} - 2 \, x + 1\right)}}{2 \, x^{6} - 2 \, x^{4} + 2 \, x^{3} + x^{2} - 2 \, x + 1}\right) + \frac{1}{8} \, \sqrt{3} \log\left(\frac{8 \, {\left(2 \, x^{6} - 2 \, x^{4} + 2 \, x^{3} + x^{2} + 2 \, {\left(3 \, x^{4} - \sqrt{3} {\left(x^{4} - x^{2} + x\right)}\right)} {\left(x^{3} - x + 1\right)}^{\frac{2}{3}} - 4 \, \sqrt{3} {\left(x^{6} - x^{4} + x^{3}\right)} - 2 \, {\left(\sqrt{3} x^{5} - 3 \, x^{5} + 3 \, x^{3} - 3 \, x^{2}\right)} {\left(x^{3} - x + 1\right)}^{\frac{1}{3}} - 2 \, x + 1\right)}}{2 \, x^{6} - 2 \, x^{4} + 2 \, x^{3} + x^{2} - 2 \, x + 1}\right) - \frac{1}{2} \, \arctan\left(\frac{24 \, x^{12} - 16 \, x^{10} + 16 \, x^{9} - 32 \, x^{8} + 64 \, x^{7} - 8 \, x^{6} - 72 \, x^{5} + 70 \, x^{4} - 16 \, x^{3} - 12 \, x^{2} - \sqrt{2} {\left(116 \, x^{12} - 300 \, x^{10} + 300 \, x^{9} + 240 \, x^{8} - 480 \, x^{7} + 186 \, x^{6} + 162 \, x^{5} - 163 \, x^{4} + 58 \, x^{3} - 6 \, x^{2} + 4 \, {\left(22 \, x^{10} - 30 \, x^{8} + 30 \, x^{7} + 13 \, x^{6} - 26 \, x^{5} + 11 \, x^{4} + 6 \, x^{3} - 6 \, x^{2} - \sqrt{3} {\left(14 \, x^{10} - 20 \, x^{8} + 20 \, x^{7} + 3 \, x^{6} - 6 \, x^{5} + 4 \, x^{4} - 3 \, x^{3} + 3 \, x^{2} - x\right)} + 2 \, x\right)} {\left(x^{3} - x + 1\right)}^{\frac{2}{3}} - \sqrt{3} {\left(36 \, x^{12} - 36 \, x^{10} + 36 \, x^{9} - 4 \, x^{8} + 8 \, x^{7} - 2 \, x^{6} - 6 \, x^{5} + 7 \, x^{4} - 6 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)} + 2 \, {\left(28 \, x^{11} - 2 \, x^{9} + 2 \, x^{8} - 40 \, x^{7} + 80 \, x^{6} - 25 \, x^{5} - 45 \, x^{4} + 45 \, x^{3} - 15 \, x^{2} - \sqrt{3} {\left(32 \, x^{11} - 70 \, x^{9} + 70 \, x^{8} + 46 \, x^{7} - 92 \, x^{6} + 37 \, x^{5} + 27 \, x^{4} - 27 \, x^{3} + 9 \, x^{2}\right)}\right)} {\left(x^{3} - x + 1\right)}^{\frac{1}{3}} + 4 \, x - 1\right)} \sqrt{\frac{2 \, x^{6} - 2 \, x^{4} + 2 \, x^{3} + x^{2} + 2 \, {\left(3 \, x^{4} + \sqrt{3} {\left(x^{4} - x^{2} + x\right)}\right)} {\left(x^{3} - x + 1\right)}^{\frac{2}{3}} + 4 \, \sqrt{3} {\left(x^{6} - x^{4} + x^{3}\right)} + 2 \, {\left(\sqrt{3} x^{5} + 3 \, x^{5} - 3 \, x^{3} + 3 \, x^{2}\right)} {\left(x^{3} - x + 1\right)}^{\frac{1}{3}} - 2 \, x + 1}{2 \, x^{6} - 2 \, x^{4} + 2 \, x^{3} + x^{2} - 2 \, x + 1}} + 4 \, {\left(18 \, x^{10} - 46 \, x^{8} + 46 \, x^{7} + 23 \, x^{6} - 46 \, x^{5} + 21 \, x^{4} + 6 \, x^{3} - 6 \, x^{2} - \sqrt{3} {\left(2 \, x^{10} + 4 \, x^{8} - 4 \, x^{7} - 3 \, x^{6} + 6 \, x^{5} - 2 \, x^{4} - 3 \, x^{3} + 3 \, x^{2} - x\right)} + 2 \, x\right)} {\left(x^{3} - x + 1\right)}^{\frac{2}{3}} - \sqrt{3} {\left(20 \, x^{12} - 40 \, x^{10} + 40 \, x^{9} + 24 \, x^{8} - 48 \, x^{7} + 20 \, x^{6} + 12 \, x^{5} - 11 \, x^{4} + 6 \, x^{2} - 4 \, x + 1\right)} + 4 \, {\left(2 \, x^{11} + 16 \, x^{9} - 16 \, x^{8} - 27 \, x^{7} + 54 \, x^{6} - 20 \, x^{5} - 21 \, x^{4} + 21 \, x^{3} - 7 \, x^{2} - \sqrt{3} {\left(6 \, x^{11} - 14 \, x^{9} + 14 \, x^{8} + 13 \, x^{7} - 26 \, x^{6} + 9 \, x^{5} + 12 \, x^{4} - 12 \, x^{3} + 4 \, x^{2}\right)}\right)} {\left(x^{3} - x + 1\right)}^{\frac{1}{3}} + 8 \, x - 2}{52 \, x^{12} - 232 \, x^{10} + 232 \, x^{9} + 248 \, x^{8} - 496 \, x^{7} + 180 \, x^{6} + 204 \, x^{5} - 203 \, x^{4} + 64 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right) + \frac{1}{2} \, \arctan\left(-\frac{24 \, x^{12} - 16 \, x^{10} + 16 \, x^{9} - 32 \, x^{8} + 64 \, x^{7} - 8 \, x^{6} - 72 \, x^{5} + 70 \, x^{4} - 16 \, x^{3} - 12 \, x^{2} - \sqrt{2} {\left(116 \, x^{12} - 300 \, x^{10} + 300 \, x^{9} + 240 \, x^{8} - 480 \, x^{7} + 186 \, x^{6} + 162 \, x^{5} - 163 \, x^{4} + 58 \, x^{3} - 6 \, x^{2} + 4 \, {\left(22 \, x^{10} - 30 \, x^{8} + 30 \, x^{7} + 13 \, x^{6} - 26 \, x^{5} + 11 \, x^{4} + 6 \, x^{3} - 6 \, x^{2} + \sqrt{3} {\left(14 \, x^{10} - 20 \, x^{8} + 20 \, x^{7} + 3 \, x^{6} - 6 \, x^{5} + 4 \, x^{4} - 3 \, x^{3} + 3 \, x^{2} - x\right)} + 2 \, x\right)} {\left(x^{3} - x + 1\right)}^{\frac{2}{3}} + \sqrt{3} {\left(36 \, x^{12} - 36 \, x^{10} + 36 \, x^{9} - 4 \, x^{8} + 8 \, x^{7} - 2 \, x^{6} - 6 \, x^{5} + 7 \, x^{4} - 6 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)} + 2 \, {\left(28 \, x^{11} - 2 \, x^{9} + 2 \, x^{8} - 40 \, x^{7} + 80 \, x^{6} - 25 \, x^{5} - 45 \, x^{4} + 45 \, x^{3} - 15 \, x^{2} + \sqrt{3} {\left(32 \, x^{11} - 70 \, x^{9} + 70 \, x^{8} + 46 \, x^{7} - 92 \, x^{6} + 37 \, x^{5} + 27 \, x^{4} - 27 \, x^{3} + 9 \, x^{2}\right)}\right)} {\left(x^{3} - x + 1\right)}^{\frac{1}{3}} + 4 \, x - 1\right)} \sqrt{\frac{2 \, x^{6} - 2 \, x^{4} + 2 \, x^{3} + x^{2} + 2 \, {\left(3 \, x^{4} - \sqrt{3} {\left(x^{4} - x^{2} + x\right)}\right)} {\left(x^{3} - x + 1\right)}^{\frac{2}{3}} - 4 \, \sqrt{3} {\left(x^{6} - x^{4} + x^{3}\right)} - 2 \, {\left(\sqrt{3} x^{5} - 3 \, x^{5} + 3 \, x^{3} - 3 \, x^{2}\right)} {\left(x^{3} - x + 1\right)}^{\frac{1}{3}} - 2 \, x + 1}{2 \, x^{6} - 2 \, x^{4} + 2 \, x^{3} + x^{2} - 2 \, x + 1}} + 4 \, {\left(18 \, x^{10} - 46 \, x^{8} + 46 \, x^{7} + 23 \, x^{6} - 46 \, x^{5} + 21 \, x^{4} + 6 \, x^{3} - 6 \, x^{2} + \sqrt{3} {\left(2 \, x^{10} + 4 \, x^{8} - 4 \, x^{7} - 3 \, x^{6} + 6 \, x^{5} - 2 \, x^{4} - 3 \, x^{3} + 3 \, x^{2} - x\right)} + 2 \, x\right)} {\left(x^{3} - x + 1\right)}^{\frac{2}{3}} + \sqrt{3} {\left(20 \, x^{12} - 40 \, x^{10} + 40 \, x^{9} + 24 \, x^{8} - 48 \, x^{7} + 20 \, x^{6} + 12 \, x^{5} - 11 \, x^{4} + 6 \, x^{2} - 4 \, x + 1\right)} + 4 \, {\left(2 \, x^{11} + 16 \, x^{9} - 16 \, x^{8} - 27 \, x^{7} + 54 \, x^{6} - 20 \, x^{5} - 21 \, x^{4} + 21 \, x^{3} - 7 \, x^{2} + \sqrt{3} {\left(6 \, x^{11} - 14 \, x^{9} + 14 \, x^{8} + 13 \, x^{7} - 26 \, x^{6} + 9 \, x^{5} + 12 \, x^{4} - 12 \, x^{3} + 4 \, x^{2}\right)}\right)} {\left(x^{3} - x + 1\right)}^{\frac{1}{3}} + 8 \, x - 2}{52 \, x^{12} - 232 \, x^{10} + 232 \, x^{9} + 248 \, x^{8} - 496 \, x^{7} + 180 \, x^{6} + 204 \, x^{5} - 203 \, x^{4} + 64 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right) - \frac{1}{2} \, \arctan\left(\frac{6 \, x^{6} - 4 \, x^{4} + 4 \, x^{3} - x^{2} + 4 \, {\left(3 \, x^{4} - x^{2} + x\right)} {\left(x^{3} - x + 1\right)}^{\frac{2}{3}} - 4 \, {\left(x^{5} - 2 \, x^{3} + 2 \, x^{2}\right)} {\left(x^{3} - x + 1\right)}^{\frac{1}{3}} + 2 \, x - 1}{14 \, x^{6} - 16 \, x^{4} + 16 \, x^{3} + x^{2} - 2 \, x + 1}\right)"," ",0,"-1/8*sqrt(3)*log(8*(2*x^6 - 2*x^4 + 2*x^3 + x^2 + 2*(3*x^4 + sqrt(3)*(x^4 - x^2 + x))*(x^3 - x + 1)^(2/3) + 4*sqrt(3)*(x^6 - x^4 + x^3) + 2*(sqrt(3)*x^5 + 3*x^5 - 3*x^3 + 3*x^2)*(x^3 - x + 1)^(1/3) - 2*x + 1)/(2*x^6 - 2*x^4 + 2*x^3 + x^2 - 2*x + 1)) + 1/8*sqrt(3)*log(8*(2*x^6 - 2*x^4 + 2*x^3 + x^2 + 2*(3*x^4 - sqrt(3)*(x^4 - x^2 + x))*(x^3 - x + 1)^(2/3) - 4*sqrt(3)*(x^6 - x^4 + x^3) - 2*(sqrt(3)*x^5 - 3*x^5 + 3*x^3 - 3*x^2)*(x^3 - x + 1)^(1/3) - 2*x + 1)/(2*x^6 - 2*x^4 + 2*x^3 + x^2 - 2*x + 1)) - 1/2*arctan((24*x^12 - 16*x^10 + 16*x^9 - 32*x^8 + 64*x^7 - 8*x^6 - 72*x^5 + 70*x^4 - 16*x^3 - 12*x^2 - sqrt(2)*(116*x^12 - 300*x^10 + 300*x^9 + 240*x^8 - 480*x^7 + 186*x^6 + 162*x^5 - 163*x^4 + 58*x^3 - 6*x^2 + 4*(22*x^10 - 30*x^8 + 30*x^7 + 13*x^6 - 26*x^5 + 11*x^4 + 6*x^3 - 6*x^2 - sqrt(3)*(14*x^10 - 20*x^8 + 20*x^7 + 3*x^6 - 6*x^5 + 4*x^4 - 3*x^3 + 3*x^2 - x) + 2*x)*(x^3 - x + 1)^(2/3) - sqrt(3)*(36*x^12 - 36*x^10 + 36*x^9 - 4*x^8 + 8*x^7 - 2*x^6 - 6*x^5 + 7*x^4 - 6*x^3 + 6*x^2 - 4*x + 1) + 2*(28*x^11 - 2*x^9 + 2*x^8 - 40*x^7 + 80*x^6 - 25*x^5 - 45*x^4 + 45*x^3 - 15*x^2 - sqrt(3)*(32*x^11 - 70*x^9 + 70*x^8 + 46*x^7 - 92*x^6 + 37*x^5 + 27*x^4 - 27*x^3 + 9*x^2))*(x^3 - x + 1)^(1/3) + 4*x - 1)*sqrt((2*x^6 - 2*x^4 + 2*x^3 + x^2 + 2*(3*x^4 + sqrt(3)*(x^4 - x^2 + x))*(x^3 - x + 1)^(2/3) + 4*sqrt(3)*(x^6 - x^4 + x^3) + 2*(sqrt(3)*x^5 + 3*x^5 - 3*x^3 + 3*x^2)*(x^3 - x + 1)^(1/3) - 2*x + 1)/(2*x^6 - 2*x^4 + 2*x^3 + x^2 - 2*x + 1)) + 4*(18*x^10 - 46*x^8 + 46*x^7 + 23*x^6 - 46*x^5 + 21*x^4 + 6*x^3 - 6*x^2 - sqrt(3)*(2*x^10 + 4*x^8 - 4*x^7 - 3*x^6 + 6*x^5 - 2*x^4 - 3*x^3 + 3*x^2 - x) + 2*x)*(x^3 - x + 1)^(2/3) - sqrt(3)*(20*x^12 - 40*x^10 + 40*x^9 + 24*x^8 - 48*x^7 + 20*x^6 + 12*x^5 - 11*x^4 + 6*x^2 - 4*x + 1) + 4*(2*x^11 + 16*x^9 - 16*x^8 - 27*x^7 + 54*x^6 - 20*x^5 - 21*x^4 + 21*x^3 - 7*x^2 - sqrt(3)*(6*x^11 - 14*x^9 + 14*x^8 + 13*x^7 - 26*x^6 + 9*x^5 + 12*x^4 - 12*x^3 + 4*x^2))*(x^3 - x + 1)^(1/3) + 8*x - 2)/(52*x^12 - 232*x^10 + 232*x^9 + 248*x^8 - 496*x^7 + 180*x^6 + 204*x^5 - 203*x^4 + 64*x^3 + 6*x^2 - 4*x + 1)) + 1/2*arctan(-(24*x^12 - 16*x^10 + 16*x^9 - 32*x^8 + 64*x^7 - 8*x^6 - 72*x^5 + 70*x^4 - 16*x^3 - 12*x^2 - sqrt(2)*(116*x^12 - 300*x^10 + 300*x^9 + 240*x^8 - 480*x^7 + 186*x^6 + 162*x^5 - 163*x^4 + 58*x^3 - 6*x^2 + 4*(22*x^10 - 30*x^8 + 30*x^7 + 13*x^6 - 26*x^5 + 11*x^4 + 6*x^3 - 6*x^2 + sqrt(3)*(14*x^10 - 20*x^8 + 20*x^7 + 3*x^6 - 6*x^5 + 4*x^4 - 3*x^3 + 3*x^2 - x) + 2*x)*(x^3 - x + 1)^(2/3) + sqrt(3)*(36*x^12 - 36*x^10 + 36*x^9 - 4*x^8 + 8*x^7 - 2*x^6 - 6*x^5 + 7*x^4 - 6*x^3 + 6*x^2 - 4*x + 1) + 2*(28*x^11 - 2*x^9 + 2*x^8 - 40*x^7 + 80*x^6 - 25*x^5 - 45*x^4 + 45*x^3 - 15*x^2 + sqrt(3)*(32*x^11 - 70*x^9 + 70*x^8 + 46*x^7 - 92*x^6 + 37*x^5 + 27*x^4 - 27*x^3 + 9*x^2))*(x^3 - x + 1)^(1/3) + 4*x - 1)*sqrt((2*x^6 - 2*x^4 + 2*x^3 + x^2 + 2*(3*x^4 - sqrt(3)*(x^4 - x^2 + x))*(x^3 - x + 1)^(2/3) - 4*sqrt(3)*(x^6 - x^4 + x^3) - 2*(sqrt(3)*x^5 - 3*x^5 + 3*x^3 - 3*x^2)*(x^3 - x + 1)^(1/3) - 2*x + 1)/(2*x^6 - 2*x^4 + 2*x^3 + x^2 - 2*x + 1)) + 4*(18*x^10 - 46*x^8 + 46*x^7 + 23*x^6 - 46*x^5 + 21*x^4 + 6*x^3 - 6*x^2 + sqrt(3)*(2*x^10 + 4*x^8 - 4*x^7 - 3*x^6 + 6*x^5 - 2*x^4 - 3*x^3 + 3*x^2 - x) + 2*x)*(x^3 - x + 1)^(2/3) + sqrt(3)*(20*x^12 - 40*x^10 + 40*x^9 + 24*x^8 - 48*x^7 + 20*x^6 + 12*x^5 - 11*x^4 + 6*x^2 - 4*x + 1) + 4*(2*x^11 + 16*x^9 - 16*x^8 - 27*x^7 + 54*x^6 - 20*x^5 - 21*x^4 + 21*x^3 - 7*x^2 + sqrt(3)*(6*x^11 - 14*x^9 + 14*x^8 + 13*x^7 - 26*x^6 + 9*x^5 + 12*x^4 - 12*x^3 + 4*x^2))*(x^3 - x + 1)^(1/3) + 8*x - 2)/(52*x^12 - 232*x^10 + 232*x^9 + 248*x^8 - 496*x^7 + 180*x^6 + 204*x^5 - 203*x^4 + 64*x^3 + 6*x^2 - 4*x + 1)) - 1/2*arctan((6*x^6 - 4*x^4 + 4*x^3 - x^2 + 4*(3*x^4 - x^2 + x)*(x^3 - x + 1)^(2/3) - 4*(x^5 - 2*x^3 + 2*x^2)*(x^3 - x + 1)^(1/3) + 2*x - 1)/(14*x^6 - 16*x^4 + 16*x^3 + x^2 - 2*x + 1))","B",0
1496,1,380,0,142.917237," ","integrate((x^6-2)*(x^6+4)*(x^6+2*x^4-2)^(1/4)/x^6/(2*x^6-x^4-4),x, algorithm=""fricas"")","\frac{20 \cdot 5^{\frac{1}{4}} 2^{\frac{3}{4}} x^{5} \arctan\left(\frac{20 \cdot 5^{\frac{3}{4}} 2^{\frac{1}{4}} {\left(x^{6} + 2 \, x^{4} - 2\right)}^{\frac{1}{4}} x^{3} + 20 \cdot 5^{\frac{1}{4}} 2^{\frac{3}{4}} {\left(x^{6} + 2 \, x^{4} - 2\right)}^{\frac{3}{4}} x + \sqrt{5} {\left(4 \cdot 5^{\frac{3}{4}} 2^{\frac{1}{4}} \sqrt{x^{6} + 2 \, x^{4} - 2} x^{2} + 5^{\frac{1}{4}} 2^{\frac{3}{4}} {\left(2 \, x^{6} + 9 \, x^{4} - 4\right)}\right)} \sqrt{\sqrt{5} \sqrt{2}}}{10 \, {\left(2 \, x^{6} - x^{4} - 4\right)}}\right) - 5 \cdot 5^{\frac{1}{4}} 2^{\frac{3}{4}} x^{5} \log\left(-\frac{10 \, \sqrt{5} \sqrt{2} {\left(x^{6} + 2 \, x^{4} - 2\right)}^{\frac{1}{4}} x^{3} + 10 \cdot 5^{\frac{1}{4}} 2^{\frac{3}{4}} \sqrt{x^{6} + 2 \, x^{4} - 2} x^{2} + 5^{\frac{3}{4}} 2^{\frac{1}{4}} {\left(2 \, x^{6} + 9 \, x^{4} - 4\right)} + 20 \, {\left(x^{6} + 2 \, x^{4} - 2\right)}^{\frac{3}{4}} x}{2 \, x^{6} - x^{4} - 4}\right) + 5 \cdot 5^{\frac{1}{4}} 2^{\frac{3}{4}} x^{5} \log\left(-\frac{10 \, \sqrt{5} \sqrt{2} {\left(x^{6} + 2 \, x^{4} - 2\right)}^{\frac{1}{4}} x^{3} - 10 \cdot 5^{\frac{1}{4}} 2^{\frac{3}{4}} \sqrt{x^{6} + 2 \, x^{4} - 2} x^{2} - 5^{\frac{3}{4}} 2^{\frac{1}{4}} {\left(2 \, x^{6} + 9 \, x^{4} - 4\right)} + 20 \, {\left(x^{6} + 2 \, x^{4} - 2\right)}^{\frac{3}{4}} x}{2 \, x^{6} - x^{4} - 4}\right) + 16 \, {\left(2 \, x^{6} + 9 \, x^{4} - 4\right)} {\left(x^{6} + 2 \, x^{4} - 2\right)}^{\frac{1}{4}}}{160 \, x^{5}}"," ",0,"1/160*(20*5^(1/4)*2^(3/4)*x^5*arctan(1/10*(20*5^(3/4)*2^(1/4)*(x^6 + 2*x^4 - 2)^(1/4)*x^3 + 20*5^(1/4)*2^(3/4)*(x^6 + 2*x^4 - 2)^(3/4)*x + sqrt(5)*(4*5^(3/4)*2^(1/4)*sqrt(x^6 + 2*x^4 - 2)*x^2 + 5^(1/4)*2^(3/4)*(2*x^6 + 9*x^4 - 4))*sqrt(sqrt(5)*sqrt(2)))/(2*x^6 - x^4 - 4)) - 5*5^(1/4)*2^(3/4)*x^5*log(-(10*sqrt(5)*sqrt(2)*(x^6 + 2*x^4 - 2)^(1/4)*x^3 + 10*5^(1/4)*2^(3/4)*sqrt(x^6 + 2*x^4 - 2)*x^2 + 5^(3/4)*2^(1/4)*(2*x^6 + 9*x^4 - 4) + 20*(x^6 + 2*x^4 - 2)^(3/4)*x)/(2*x^6 - x^4 - 4)) + 5*5^(1/4)*2^(3/4)*x^5*log(-(10*sqrt(5)*sqrt(2)*(x^6 + 2*x^4 - 2)^(1/4)*x^3 - 10*5^(1/4)*2^(3/4)*sqrt(x^6 + 2*x^4 - 2)*x^2 - 5^(3/4)*2^(1/4)*(2*x^6 + 9*x^4 - 4) + 20*(x^6 + 2*x^4 - 2)^(3/4)*x)/(2*x^6 - x^4 - 4)) + 16*(2*x^6 + 9*x^4 - 4)*(x^6 + 2*x^4 - 2)^(1/4))/x^5","B",0
1497,1,127,0,1.014174," ","integrate((x^3+1)^(2/3)*(3*x^6-1)/x^9/(2*x^3+1),x, algorithm=""fricas"")","-\frac{40 \, \sqrt{3} x^{8} \arctan\left(\frac{4 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} + 2 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(x^{3} + 1\right)}}{7 \, x^{3} - 1}\right) - 20 \, x^{8} \log\left(\frac{2 \, x^{3} + 3 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + 1}{2 \, x^{3} + 1}\right) - 3 \, {\left(x^{6} - 14 \, x^{3} + 5\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{120 \, x^{8}}"," ",0,"-1/120*(40*sqrt(3)*x^8*arctan((4*sqrt(3)*(x^3 + 1)^(1/3)*x^2 + 2*sqrt(3)*(x^3 + 1)^(2/3)*x + sqrt(3)*(x^3 + 1))/(7*x^3 - 1)) - 20*x^8*log((2*x^3 + 3*(x^3 + 1)^(1/3)*x^2 + 3*(x^3 + 1)^(2/3)*x + 1)/(2*x^3 + 1)) - 3*(x^6 - 14*x^3 + 5)*(x^3 + 1)^(2/3))/x^8","A",0
1498,1,466,0,0.620035," ","integrate((-x^4+1)^(1/2)*(x^4+1)/(x^8-x^4+1),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \arctan\left(-\frac{x^{8} - x^{4} + 2 \, \sqrt{2} {\left(x^{5} + x^{3} - x\right)} \sqrt{-x^{4} + 1} - {\left(4 \, \sqrt{-x^{4} + 1} x^{3} - \sqrt{2} {\left(x^{8} + 2 \, x^{6} - 3 \, x^{4} - 2 \, x^{2} + 1\right)}\right)} \sqrt{\frac{x^{8} - 4 \, x^{6} - x^{4} + 2 \, \sqrt{2} {\left(x^{5} - x^{3} - x\right)} \sqrt{-x^{4} + 1} + 4 \, x^{2} + 1}{x^{8} - x^{4} + 1}} + 1}{x^{8} + 4 \, x^{6} - x^{4} - 4 \, x^{2} + 1}\right) - \frac{1}{4} \, \sqrt{2} \arctan\left(-\frac{x^{8} - x^{4} - 2 \, \sqrt{2} {\left(x^{5} + x^{3} - x\right)} \sqrt{-x^{4} + 1} - {\left(4 \, \sqrt{-x^{4} + 1} x^{3} + \sqrt{2} {\left(x^{8} + 2 \, x^{6} - 3 \, x^{4} - 2 \, x^{2} + 1\right)}\right)} \sqrt{\frac{x^{8} - 4 \, x^{6} - x^{4} - 2 \, \sqrt{2} {\left(x^{5} - x^{3} - x\right)} \sqrt{-x^{4} + 1} + 4 \, x^{2} + 1}{x^{8} - x^{4} + 1}} + 1}{x^{8} + 4 \, x^{6} - x^{4} - 4 \, x^{2} + 1}\right) - \frac{1}{16} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{8} - 4 \, x^{6} - x^{4} + 2 \, \sqrt{2} {\left(x^{5} - x^{3} - x\right)} \sqrt{-x^{4} + 1} + 4 \, x^{2} + 1\right)}}{x^{8} - x^{4} + 1}\right) + \frac{1}{16} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{8} - 4 \, x^{6} - x^{4} - 2 \, \sqrt{2} {\left(x^{5} - x^{3} - x\right)} \sqrt{-x^{4} + 1} + 4 \, x^{2} + 1\right)}}{x^{8} - x^{4} + 1}\right)"," ",0,"1/4*sqrt(2)*arctan(-(x^8 - x^4 + 2*sqrt(2)*(x^5 + x^3 - x)*sqrt(-x^4 + 1) - (4*sqrt(-x^4 + 1)*x^3 - sqrt(2)*(x^8 + 2*x^6 - 3*x^4 - 2*x^2 + 1))*sqrt((x^8 - 4*x^6 - x^4 + 2*sqrt(2)*(x^5 - x^3 - x)*sqrt(-x^4 + 1) + 4*x^2 + 1)/(x^8 - x^4 + 1)) + 1)/(x^8 + 4*x^6 - x^4 - 4*x^2 + 1)) - 1/4*sqrt(2)*arctan(-(x^8 - x^4 - 2*sqrt(2)*(x^5 + x^3 - x)*sqrt(-x^4 + 1) - (4*sqrt(-x^4 + 1)*x^3 + sqrt(2)*(x^8 + 2*x^6 - 3*x^4 - 2*x^2 + 1))*sqrt((x^8 - 4*x^6 - x^4 - 2*sqrt(2)*(x^5 - x^3 - x)*sqrt(-x^4 + 1) + 4*x^2 + 1)/(x^8 - x^4 + 1)) + 1)/(x^8 + 4*x^6 - x^4 - 4*x^2 + 1)) - 1/16*sqrt(2)*log(4*(x^8 - 4*x^6 - x^4 + 2*sqrt(2)*(x^5 - x^3 - x)*sqrt(-x^4 + 1) + 4*x^2 + 1)/(x^8 - x^4 + 1)) + 1/16*sqrt(2)*log(4*(x^8 - 4*x^6 - x^4 - 2*sqrt(2)*(x^5 - x^3 - x)*sqrt(-x^4 + 1) + 4*x^2 + 1)/(x^8 - x^4 + 1))","B",0
1499,-1,0,0,0.000000," ","integrate(x^2/(a*x^4+b)^(3/4)/(a^2*x^8-b^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1500,1,48,0,0.623769," ","integrate((1+(x^2+1)^(1/2))^(1/2)/(x+(x^2+1)^(1/2)),x, algorithm=""fricas"")","-\frac{2 \, {\left(3 \, x^{3} - x^{2} - {\left(3 \, x^{2} - x + 7\right)} \sqrt{x^{2} + 1} + x + 7\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{15 \, x}"," ",0,"-2/15*(3*x^3 - x^2 - (3*x^2 - x + 7)*sqrt(x^2 + 1) + x + 7)*sqrt(sqrt(x^2 + 1) + 1)/x","A",0
1501,1,139,0,1.374283," ","integrate((2+x)^2/x/(x^2-2*x+4)/(x^2+x+1)^(1/3),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{4 \, \sqrt{3} {\left(x^{2} + x + 1\right)}^{\frac{2}{3}} {\left(x - 1\right)} + 2 \, \sqrt{3} {\left(x^{2} + x + 1\right)}^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 1\right)} + \sqrt{3} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}}{x^{3} - 11 \, x^{2} - 5 \, x - 9}\right) + \frac{1}{2} \, \log\left(\frac{x^{3} - 2 \, x^{2} + 3 \, {\left(x^{2} + x + 1\right)}^{\frac{2}{3}} {\left(x - 1\right)} + 3 \, {\left(x^{2} + x + 1\right)}^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 1\right)} + 4 \, x}{x^{3} - 2 \, x^{2} + 4 \, x}\right)"," ",0,"-sqrt(3)*arctan((4*sqrt(3)*(x^2 + x + 1)^(2/3)*(x - 1) + 2*sqrt(3)*(x^2 + x + 1)^(1/3)*(x^2 - 2*x + 1) + sqrt(3)*(x^3 - 3*x^2 + 3*x - 1))/(x^3 - 11*x^2 - 5*x - 9)) + 1/2*log((x^3 - 2*x^2 + 3*(x^2 + x + 1)^(2/3)*(x - 1) + 3*(x^2 + x + 1)^(1/3)*(x^2 - 2*x + 1) + 4*x)/(x^3 - 2*x^2 + 4*x))","A",0
1502,1,338,0,116.855736," ","integrate(1/(a*x^2-2*b)/(a*x^2-b)^(1/4),x, algorithm=""fricas"")","-\left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a^{2} b^{3}}\right)^{\frac{1}{4}} \arctan\left(\frac{2 \, {\left(\sqrt{\frac{1}{2}} {\left(2 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} a b^{3} \left(\frac{1}{a^{2} b^{3}}\right)^{\frac{3}{4}} + \left(\frac{1}{4}\right)^{\frac{1}{4}} \sqrt{a x^{2} - b} b \left(\frac{1}{a^{2} b^{3}}\right)^{\frac{1}{4}}\right)} \sqrt{a b \sqrt{\frac{1}{a^{2} b^{3}}}} - \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a x^{2} - b\right)}^{\frac{1}{4}} b \left(\frac{1}{a^{2} b^{3}}\right)^{\frac{1}{4}}\right)}}{x}\right) - \frac{1}{4} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a^{2} b^{3}}\right)^{\frac{1}{4}} \log\left(\frac{2 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} \sqrt{a x^{2} - b} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{3}}\right)^{\frac{3}{4}} + {\left(a x^{2} - b\right)}^{\frac{1}{4}} a b^{2} \sqrt{\frac{1}{a^{2} b^{3}}} + \left(\frac{1}{4}\right)^{\frac{1}{4}} a b x \left(\frac{1}{a^{2} b^{3}}\right)^{\frac{1}{4}} + {\left(a x^{2} - b\right)}^{\frac{3}{4}}}{a x^{2} - 2 \, b}\right) + \frac{1}{4} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a^{2} b^{3}}\right)^{\frac{1}{4}} \log\left(-\frac{2 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} \sqrt{a x^{2} - b} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{3}}\right)^{\frac{3}{4}} - {\left(a x^{2} - b\right)}^{\frac{1}{4}} a b^{2} \sqrt{\frac{1}{a^{2} b^{3}}} + \left(\frac{1}{4}\right)^{\frac{1}{4}} a b x \left(\frac{1}{a^{2} b^{3}}\right)^{\frac{1}{4}} - {\left(a x^{2} - b\right)}^{\frac{3}{4}}}{a x^{2} - 2 \, b}\right)"," ",0,"-(1/4)^(1/4)*(1/(a^2*b^3))^(1/4)*arctan(2*(sqrt(1/2)*(2*(1/4)^(3/4)*a*b^3*(1/(a^2*b^3))^(3/4) + (1/4)^(1/4)*sqrt(a*x^2 - b)*b*(1/(a^2*b^3))^(1/4))*sqrt(a*b*sqrt(1/(a^2*b^3))) - (1/4)^(1/4)*(a*x^2 - b)^(1/4)*b*(1/(a^2*b^3))^(1/4))/x) - 1/4*(1/4)^(1/4)*(1/(a^2*b^3))^(1/4)*log((2*(1/4)^(3/4)*sqrt(a*x^2 - b)*a^2*b^2*x*(1/(a^2*b^3))^(3/4) + (a*x^2 - b)^(1/4)*a*b^2*sqrt(1/(a^2*b^3)) + (1/4)^(1/4)*a*b*x*(1/(a^2*b^3))^(1/4) + (a*x^2 - b)^(3/4))/(a*x^2 - 2*b)) + 1/4*(1/4)^(1/4)*(1/(a^2*b^3))^(1/4)*log(-(2*(1/4)^(3/4)*sqrt(a*x^2 - b)*a^2*b^2*x*(1/(a^2*b^3))^(3/4) - (a*x^2 - b)^(1/4)*a*b^2*sqrt(1/(a^2*b^3)) + (1/4)^(1/4)*a*b*x*(1/(a^2*b^3))^(1/4) - (a*x^2 - b)^(3/4))/(a*x^2 - 2*b))","B",0
1503,1,114,0,0.828763," ","integrate((-1+x)/x^7/(x^3+1)^(1/3),x, algorithm=""fricas"")","\frac{20 \, \sqrt{3} x^{6} \arctan\left(-\frac{\sqrt{3} {\left(x^{3} + 1\right)} - 2 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{2}{3}} + 4 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x^{3} + 9}\right) - 10 \, x^{6} \log\left(\frac{x^{3} - 3 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} + 3 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x^{3}}\right) + 3 \, {\left(27 \, x^{4} - 20 \, x^{3} - 18 \, x + 15\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{270 \, x^{6}}"," ",0,"1/270*(20*sqrt(3)*x^6*arctan(-(sqrt(3)*(x^3 + 1) - 2*sqrt(3)*(x^3 + 1)^(2/3) + 4*sqrt(3)*(x^3 + 1)^(1/3))/(x^3 + 9)) - 10*x^6*log((x^3 - 3*(x^3 + 1)^(2/3) + 3*(x^3 + 1)^(1/3))/x^3) + 3*(27*x^4 - 20*x^3 - 18*x + 15)*(x^3 + 1)^(2/3))/x^6","A",0
1504,-1,0,0,0.000000," ","integrate((a*x^2+2*b*x+3*c)/(a*x^2+b*x+c)^(1/3)/(a*x^2+x^3+b*x+c),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1505,-1,0,0,0.000000," ","integrate((a*x^2-b)/(a*x^4+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1506,-1,0,0,0.000000," ","integrate((a*x^2-b)/(a*x^4+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1507,-1,0,0,0.000000," ","integrate((a*x^4+b*x^2)^(1/4)/x^4/(a*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1508,-1,0,0,0.000000," ","integrate((a*x^4+b*x^2)^(1/4)/x^4/(a*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1509,-1,0,0,0.000000," ","integrate((a*x^4+b*x^2)^(1/4)/x^4/(a*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1510,1,103,0,3.110328," ","integrate(x*(5*x^2+3)/(x^2+1)^(1/3)/(x^5+x^3-1),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{2 \, \sqrt{3} {\left(x^{2} + 1\right)}^{\frac{2}{3}} x^{2} - 4 \, \sqrt{3} {\left(x^{2} + 1\right)}^{\frac{1}{3}} x - \sqrt{3} {\left(x^{5} + x^{3}\right)}}{x^{5} + x^{3} + 8}\right) + \frac{1}{2} \, \log\left(\frac{x^{5} + x^{3} - 3 \, {\left(x^{2} + 1\right)}^{\frac{2}{3}} x^{2} + 3 \, {\left(x^{2} + 1\right)}^{\frac{1}{3}} x - 1}{x^{5} + x^{3} - 1}\right)"," ",0,"-sqrt(3)*arctan((2*sqrt(3)*(x^2 + 1)^(2/3)*x^2 - 4*sqrt(3)*(x^2 + 1)^(1/3)*x - sqrt(3)*(x^5 + x^3))/(x^5 + x^3 + 8)) + 1/2*log((x^5 + x^3 - 3*(x^2 + 1)^(2/3)*x^2 + 3*(x^2 + 1)^(1/3)*x - 1)/(x^5 + x^3 - 1))","A",0
1511,1,144,0,7.462541," ","integrate((x^5-1)^(2/3)*(2*x^5+3)*(2*x^5+x^3-2)/x^6/(x^5+x^3-1),x, algorithm=""fricas"")","-\frac{10 \, \sqrt{3} x^{5} \arctan\left(\frac{1092 \, \sqrt{3} {\left(x^{5} - 1\right)}^{\frac{1}{3}} x^{2} + 2002 \, \sqrt{3} {\left(x^{5} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(121 \, x^{5} + 576 \, x^{3} - 121\right)}}{3 \, {\left(1331 \, x^{5} - 216 \, x^{3} - 1331\right)}}\right) + 5 \, x^{5} \log\left(\frac{x^{5} + x^{3} + 3 \, {\left(x^{5} - 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{5} - 1\right)}^{\frac{2}{3}} x - 1}{x^{5} + x^{3} - 1}\right) - 3 \, {\left(4 \, x^{5} - 5 \, x^{3} - 4\right)} {\left(x^{5} - 1\right)}^{\frac{2}{3}}}{10 \, x^{5}}"," ",0,"-1/10*(10*sqrt(3)*x^5*arctan(1/3*(1092*sqrt(3)*(x^5 - 1)^(1/3)*x^2 + 2002*sqrt(3)*(x^5 - 1)^(2/3)*x + sqrt(3)*(121*x^5 + 576*x^3 - 121))/(1331*x^5 - 216*x^3 - 1331)) + 5*x^5*log((x^5 + x^3 + 3*(x^5 - 1)^(1/3)*x^2 + 3*(x^5 - 1)^(2/3)*x - 1)/(x^5 + x^3 - 1)) - 3*(4*x^5 - 5*x^3 - 4)*(x^5 - 1)^(2/3))/x^5","A",0
1512,1,117,0,0.774920," ","integrate((x^3+1)^(2/3)*(x^6+x^3-2)/x^9,x, algorithm=""fricas"")","\frac{20 \, \sqrt{3} x^{8} \arctan\left(-\frac{25382 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 13720 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(5831 \, x^{3} + 7200\right)}}{58653 \, x^{3} + 8000}\right) - 10 \, x^{8} \log\left(3 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + 1\right) - 3 \, {\left(17 \, x^{6} + 2 \, x^{3} - 5\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{60 \, x^{8}}"," ",0,"1/60*(20*sqrt(3)*x^8*arctan(-(25382*sqrt(3)*(x^3 + 1)^(1/3)*x^2 - 13720*sqrt(3)*(x^3 + 1)^(2/3)*x + sqrt(3)*(5831*x^3 + 7200))/(58653*x^3 + 8000)) - 10*x^8*log(3*(x^3 + 1)^(1/3)*x^2 - 3*(x^3 + 1)^(2/3)*x + 1) - 3*(17*x^6 + 2*x^3 - 5)*(x^3 + 1)^(2/3))/x^8","A",0
1513,1,142,0,17.397562," ","integrate((x^6-1)^(2/3)*(x^6+1)*(x^6-x^3-1)/x^6/(x^6+x^3-1),x, algorithm=""fricas"")","-\frac{10 \, \sqrt{3} x^{5} \arctan\left(\frac{17707979315346691547103487078601066282657059082726673278841963389300888497059669011634 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{2} + 18779074824464902023518972945875034013564452605964125877184864112405550428883609929964 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(8791266734992875261237504664599259772605087326251698970792557525513888268399719816592 \, x^{6} + 9326814489551980499445247598236243638058784087870425269964007887066219234311690275757 \, x^{3} - 8791266734992875261237504664599259772605087326251698970792557525513888268399719816592\right)}}{3 \, {\left(9923243904393545413458713816471868889492119646716071835561526356358143878603884871272 \, x^{6} - 8320283165512251371852516195766181258618636197629327742451887394495075584367754599527 \, x^{3} - 9923243904393545413458713816471868889492119646716071835561526356358143878603884871272\right)}}\right) + 5 \, x^{5} \log\left(\frac{x^{6} + x^{3} + 3 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{6} - 1\right)}^{\frac{2}{3}} x - 1}{x^{6} + x^{3} - 1}\right) - 3 \, {\left(x^{6} - 5 \, x^{3} - 1\right)} {\left(x^{6} - 1\right)}^{\frac{2}{3}}}{15 \, x^{5}}"," ",0,"-1/15*(10*sqrt(3)*x^5*arctan(1/3*(17707979315346691547103487078601066282657059082726673278841963389300888497059669011634*sqrt(3)*(x^6 - 1)^(1/3)*x^2 + 18779074824464902023518972945875034013564452605964125877184864112405550428883609929964*sqrt(3)*(x^6 - 1)^(2/3)*x + sqrt(3)*(8791266734992875261237504664599259772605087326251698970792557525513888268399719816592*x^6 + 9326814489551980499445247598236243638058784087870425269964007887066219234311690275757*x^3 - 8791266734992875261237504664599259772605087326251698970792557525513888268399719816592))/(9923243904393545413458713816471868889492119646716071835561526356358143878603884871272*x^6 - 8320283165512251371852516195766181258618636197629327742451887394495075584367754599527*x^3 - 9923243904393545413458713816471868889492119646716071835561526356358143878603884871272)) + 5*x^5*log((x^6 + x^3 + 3*(x^6 - 1)^(1/3)*x^2 + 3*(x^6 - 1)^(2/3)*x - 1)/(x^6 + x^3 - 1)) - 3*(x^6 - 5*x^3 - 1)*(x^6 - 1)^(2/3))/x^5","A",0
1514,1,115,0,0.780602," ","integrate((x^3-1)^(2/3)*(x^6+2*x^3-2)/x^9,x, algorithm=""fricas"")","\frac{4 \, \sqrt{3} x^{8} \arctan\left(-\frac{25382 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} - 13720 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(5831 \, x^{3} - 7200\right)}}{58653 \, x^{3} - 8000}\right) - 2 \, x^{8} \log\left(-3 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + 1\right) - 3 \, {\left(x^{6} + 2 \, x^{3} - 1\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{12 \, x^{8}}"," ",0,"1/12*(4*sqrt(3)*x^8*arctan(-(25382*sqrt(3)*(x^3 - 1)^(1/3)*x^2 - 13720*sqrt(3)*(x^3 - 1)^(2/3)*x + sqrt(3)*(5831*x^3 - 7200))/(58653*x^3 - 8000)) - 2*x^8*log(-3*(x^3 - 1)^(1/3)*x^2 + 3*(x^3 - 1)^(2/3)*x + 1) - 3*(x^6 + 2*x^3 - 1)*(x^3 - 1)^(2/3))/x^8","A",0
1515,1,416,0,9.736351," ","integrate((x^4-2)/(x^4+1)^(1/4)/(x^8+x^4-2),x, algorithm=""fricas"")","-\frac{1}{12} \cdot 8^{\frac{3}{4}} \arctan\left(-\frac{8^{\frac{3}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 4 \cdot 8^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{3}{4}} x - 2^{\frac{1}{4}} {\left(8^{\frac{3}{4}} \sqrt{x^{4} + 1} x^{2} + 8^{\frac{1}{4}} {\left(3 \, x^{4} + 2\right)}\right)}}{2 \, {\left(x^{4} + 2\right)}}\right) - \frac{1}{12} \cdot 2^{\frac{3}{4}} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{3}{4}} x + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{4} + 1} x^{2} + 2^{\frac{1}{4}} {\left(3 \, x^{4} + 1\right)}\right)}}{2 \, {\left(x^{4} - 1\right)}}\right) + \frac{1}{48} \cdot 8^{\frac{3}{4}} \log\left(\frac{8 \, \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 8 \cdot 8^{\frac{1}{4}} \sqrt{x^{4} + 1} x^{2} + 8^{\frac{3}{4}} {\left(3 \, x^{4} + 2\right)} + 16 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x}{x^{4} + 2}\right) - \frac{1}{48} \cdot 8^{\frac{3}{4}} \log\left(\frac{8 \, \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} - 8 \cdot 8^{\frac{1}{4}} \sqrt{x^{4} + 1} x^{2} - 8^{\frac{3}{4}} {\left(3 \, x^{4} + 2\right)} + 16 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x}{x^{4} + 2}\right) + \frac{1}{48} \cdot 2^{\frac{3}{4}} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{4} + 1} x^{2} + 2^{\frac{3}{4}} {\left(3 \, x^{4} + 1\right)} + 4 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x}{x^{4} - 1}\right) - \frac{1}{48} \cdot 2^{\frac{3}{4}} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{4} + 1} x^{2} - 2^{\frac{3}{4}} {\left(3 \, x^{4} + 1\right)} + 4 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x}{x^{4} - 1}\right)"," ",0,"-1/12*8^(3/4)*arctan(-1/2*(8^(3/4)*(x^4 + 1)^(1/4)*x^3 + 4*8^(1/4)*(x^4 + 1)^(3/4)*x - 2^(1/4)*(8^(3/4)*sqrt(x^4 + 1)*x^2 + 8^(1/4)*(3*x^4 + 2)))/(x^4 + 2)) - 1/12*2^(3/4)*arctan(1/2*(4*2^(3/4)*(x^4 + 1)^(1/4)*x^3 + 4*2^(1/4)*(x^4 + 1)^(3/4)*x + 2^(3/4)*(2*2^(3/4)*sqrt(x^4 + 1)*x^2 + 2^(1/4)*(3*x^4 + 1)))/(x^4 - 1)) + 1/48*8^(3/4)*log((8*sqrt(2)*(x^4 + 1)^(1/4)*x^3 + 8*8^(1/4)*sqrt(x^4 + 1)*x^2 + 8^(3/4)*(3*x^4 + 2) + 16*(x^4 + 1)^(3/4)*x)/(x^4 + 2)) - 1/48*8^(3/4)*log((8*sqrt(2)*(x^4 + 1)^(1/4)*x^3 - 8*8^(1/4)*sqrt(x^4 + 1)*x^2 - 8^(3/4)*(3*x^4 + 2) + 16*(x^4 + 1)^(3/4)*x)/(x^4 + 2)) + 1/48*2^(3/4)*log((4*sqrt(2)*(x^4 + 1)^(1/4)*x^3 + 4*2^(1/4)*sqrt(x^4 + 1)*x^2 + 2^(3/4)*(3*x^4 + 1) + 4*(x^4 + 1)^(3/4)*x)/(x^4 - 1)) - 1/48*2^(3/4)*log((4*sqrt(2)*(x^4 + 1)^(1/4)*x^3 - 4*2^(1/4)*sqrt(x^4 + 1)*x^2 - 2^(3/4)*(3*x^4 + 1) + 4*(x^4 + 1)^(3/4)*x)/(x^4 - 1))","B",0
1516,-1,0,0,0.000000," ","integrate((x^4-1)^(1/4)*(x^4+2)/x^2/(x^8+2*x^4+2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1517,-1,0,0,0.000000," ","integrate((x^4-1)^(1/4)*(x^4+2)/x^2/(x^8+2*x^4+2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1518,-1,0,0,0.000000," ","integrate((x^8-2*a*x^4-2*b)/x^4/(a*x^4+b)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1519,1,205,0,0.620048," ","integrate((2*x^8-2*x^4+1)/(x^4+1)^(1/4)/(x^8-x^4-2),x, algorithm=""fricas"")","-\frac{20 \cdot 24^{\frac{3}{4}} {\left(x^{4} + 1\right)} \arctan\left(\frac{24^{\frac{3}{4}} \sqrt{2} x \sqrt{\frac{\sqrt{6} x^{2} + 2 \, \sqrt{x^{4} + 1}}{x^{2}}} - 2 \cdot 24^{\frac{3}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{24 \, x}\right) + 5 \cdot 24^{\frac{3}{4}} {\left(x^{4} + 1\right)} \log\left(\frac{24^{\frac{1}{4}} x + 2 \, {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) - 5 \cdot 24^{\frac{3}{4}} {\left(x^{4} + 1\right)} \log\left(-\frac{24^{\frac{1}{4}} x - 2 \, {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) + 288 \, {\left(x^{4} + 1\right)} \arctan\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) - 144 \, {\left(x^{4} + 1\right)} \log\left(\frac{x + {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) + 144 \, {\left(x^{4} + 1\right)} \log\left(-\frac{x - {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) + 480 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x}{288 \, {\left(x^{4} + 1\right)}}"," ",0,"-1/288*(20*24^(3/4)*(x^4 + 1)*arctan(1/24*(24^(3/4)*sqrt(2)*x*sqrt((sqrt(6)*x^2 + 2*sqrt(x^4 + 1))/x^2) - 2*24^(3/4)*(x^4 + 1)^(1/4))/x) + 5*24^(3/4)*(x^4 + 1)*log((24^(1/4)*x + 2*(x^4 + 1)^(1/4))/x) - 5*24^(3/4)*(x^4 + 1)*log(-(24^(1/4)*x - 2*(x^4 + 1)^(1/4))/x) + 288*(x^4 + 1)*arctan((x^4 + 1)^(1/4)/x) - 144*(x^4 + 1)*log((x + (x^4 + 1)^(1/4))/x) + 144*(x^4 + 1)*log(-(x - (x^4 + 1)^(1/4))/x) + 480*(x^4 + 1)^(3/4)*x)/(x^4 + 1)","B",0
1520,1,142,0,15.609059," ","integrate((x^8+x^3+1)^(2/3)*(5*x^8-3)/x^3/(x^8+1),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x^{2} \arctan\left(-\frac{137873421075913623962723091849713877803864238548587911957688 \, \sqrt{3} {\left(x^{8} + x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 404258375252242985308203241426570926701619857965304026905546 \, \sqrt{3} {\left(x^{8} + x^{3} + 1\right)}^{\frac{2}{3}} x - \sqrt{3} {\left(82882407811392064917283059085655866224123024545593970500905 \, x^{8} + 133192477088164680672740074788428524448877809708358057473929 \, x^{3} + 82882407811392064917283059085655866224123024545593970500905\right)}}{3 \, {\left(260722961671046910462256771296925520157489755605248242108289 \, x^{8} + 271065898164078304635463166638142402252742048256945969431617 \, x^{3} + 260722961671046910462256771296925520157489755605248242108289\right)}}\right) - x^{2} \log\left(\frac{x^{8} + 3 \, {\left(x^{8} + x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{8} + x^{3} + 1\right)}^{\frac{2}{3}} x + 1}{x^{8} + 1}\right) - 3 \, {\left(x^{8} + x^{3} + 1\right)}^{\frac{2}{3}}}{2 \, x^{2}}"," ",0,"-1/2*(2*sqrt(3)*x^2*arctan(-1/3*(137873421075913623962723091849713877803864238548587911957688*sqrt(3)*(x^8 + x^3 + 1)^(1/3)*x^2 - 404258375252242985308203241426570926701619857965304026905546*sqrt(3)*(x^8 + x^3 + 1)^(2/3)*x - sqrt(3)*(82882407811392064917283059085655866224123024545593970500905*x^8 + 133192477088164680672740074788428524448877809708358057473929*x^3 + 82882407811392064917283059085655866224123024545593970500905))/(260722961671046910462256771296925520157489755605248242108289*x^8 + 271065898164078304635463166638142402252742048256945969431617*x^3 + 260722961671046910462256771296925520157489755605248242108289)) - x^2*log((x^8 + 3*(x^8 + x^3 + 1)^(1/3)*x^2 - 3*(x^8 + x^3 + 1)^(2/3)*x + 1)/(x^8 + 1)) - 3*(x^8 + x^3 + 1)^(2/3))/x^2","A",0
1521,1,1077,0,0.581021," ","integrate((2*a*x^8-b)/(a*x^4+b)^(1/4)/(a*x^8-b),x, algorithm=""fricas"")","-\frac{1}{2} \, \left(-\frac{{\left(a - b\right)} \sqrt{\frac{b}{a^{3} - 2 \, a^{2} b + a b^{2}}} - 1}{a - b}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(x \sqrt{\frac{{\left({\left(a^{2} - a b\right)} x^{2} \sqrt{\frac{b}{a^{3} - 2 \, a^{2} b + a b^{2}}} + a x^{2}\right)} \sqrt{-\frac{{\left(a - b\right)} \sqrt{\frac{b}{a^{3} - 2 \, a^{2} b + a b^{2}}} - 1}{a - b}} + \sqrt{a x^{4} + b}}{x^{2}}} - {\left(a x^{4} + b\right)}^{\frac{1}{4}}\right)} \left(-\frac{{\left(a - b\right)} \sqrt{\frac{b}{a^{3} - 2 \, a^{2} b + a b^{2}}} - 1}{a - b}\right)^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \left(\frac{{\left(a - b\right)} \sqrt{\frac{b}{a^{3} - 2 \, a^{2} b + a b^{2}}} + 1}{a - b}\right)^{\frac{1}{4}} \arctan\left(\frac{x \left(\frac{{\left(a - b\right)} \sqrt{\frac{b}{a^{3} - 2 \, a^{2} b + a b^{2}}} + 1}{a - b}\right)^{\frac{1}{4}} \sqrt{-\frac{{\left({\left(a^{2} - a b\right)} x^{2} \sqrt{\frac{b}{a^{3} - 2 \, a^{2} b + a b^{2}}} - a x^{2}\right)} \sqrt{\frac{{\left(a - b\right)} \sqrt{\frac{b}{a^{3} - 2 \, a^{2} b + a b^{2}}} + 1}{a - b}} - \sqrt{a x^{4} + b}}{x^{2}}} - {\left(a x^{4} + b\right)}^{\frac{1}{4}} \left(\frac{{\left(a - b\right)} \sqrt{\frac{b}{a^{3} - 2 \, a^{2} b + a b^{2}}} + 1}{a - b}\right)^{\frac{1}{4}}}{x}\right) + \frac{1}{8} \, \left(\frac{{\left(a - b\right)} \sqrt{\frac{b}{a^{3} - 2 \, a^{2} b + a b^{2}}} + 1}{a - b}\right)^{\frac{1}{4}} \log\left(\frac{{\left({\left(a^{2} - a b\right)} x \sqrt{\frac{b}{a^{3} - 2 \, a^{2} b + a b^{2}}} - a x\right)} \left(\frac{{\left(a - b\right)} \sqrt{\frac{b}{a^{3} - 2 \, a^{2} b + a b^{2}}} + 1}{a - b}\right)^{\frac{3}{4}} + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{8} \, \left(\frac{{\left(a - b\right)} \sqrt{\frac{b}{a^{3} - 2 \, a^{2} b + a b^{2}}} + 1}{a - b}\right)^{\frac{1}{4}} \log\left(-\frac{{\left({\left(a^{2} - a b\right)} x \sqrt{\frac{b}{a^{3} - 2 \, a^{2} b + a b^{2}}} - a x\right)} \left(\frac{{\left(a - b\right)} \sqrt{\frac{b}{a^{3} - 2 \, a^{2} b + a b^{2}}} + 1}{a - b}\right)^{\frac{3}{4}} - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{8} \, \left(-\frac{{\left(a - b\right)} \sqrt{\frac{b}{a^{3} - 2 \, a^{2} b + a b^{2}}} - 1}{a - b}\right)^{\frac{1}{4}} \log\left(\frac{{\left({\left(a^{2} - a b\right)} x \sqrt{\frac{b}{a^{3} - 2 \, a^{2} b + a b^{2}}} + a x\right)} \left(-\frac{{\left(a - b\right)} \sqrt{\frac{b}{a^{3} - 2 \, a^{2} b + a b^{2}}} - 1}{a - b}\right)^{\frac{3}{4}} + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{8} \, \left(-\frac{{\left(a - b\right)} \sqrt{\frac{b}{a^{3} - 2 \, a^{2} b + a b^{2}}} - 1}{a - b}\right)^{\frac{1}{4}} \log\left(-\frac{{\left({\left(a^{2} - a b\right)} x \sqrt{\frac{b}{a^{3} - 2 \, a^{2} b + a b^{2}}} + a x\right)} \left(-\frac{{\left(a - b\right)} \sqrt{\frac{b}{a^{3} - 2 \, a^{2} b + a b^{2}}} - 1}{a - b}\right)^{\frac{3}{4}} - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right) + \frac{2 \, \arctan\left(\frac{\frac{x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} + b}}{x^{2}}}}{a^{\frac{1}{4}}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}}{x}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}}"," ",0,"-1/2*(-((a - b)*sqrt(b/(a^3 - 2*a^2*b + a*b^2)) - 1)/(a - b))^(1/4)*arctan((x*sqrt((((a^2 - a*b)*x^2*sqrt(b/(a^3 - 2*a^2*b + a*b^2)) + a*x^2)*sqrt(-((a - b)*sqrt(b/(a^3 - 2*a^2*b + a*b^2)) - 1)/(a - b)) + sqrt(a*x^4 + b))/x^2) - (a*x^4 + b)^(1/4))*(-((a - b)*sqrt(b/(a^3 - 2*a^2*b + a*b^2)) - 1)/(a - b))^(1/4)/x) - 1/2*(((a - b)*sqrt(b/(a^3 - 2*a^2*b + a*b^2)) + 1)/(a - b))^(1/4)*arctan((x*(((a - b)*sqrt(b/(a^3 - 2*a^2*b + a*b^2)) + 1)/(a - b))^(1/4)*sqrt(-(((a^2 - a*b)*x^2*sqrt(b/(a^3 - 2*a^2*b + a*b^2)) - a*x^2)*sqrt(((a - b)*sqrt(b/(a^3 - 2*a^2*b + a*b^2)) + 1)/(a - b)) - sqrt(a*x^4 + b))/x^2) - (a*x^4 + b)^(1/4)*(((a - b)*sqrt(b/(a^3 - 2*a^2*b + a*b^2)) + 1)/(a - b))^(1/4))/x) + 1/8*(((a - b)*sqrt(b/(a^3 - 2*a^2*b + a*b^2)) + 1)/(a - b))^(1/4)*log((((a^2 - a*b)*x*sqrt(b/(a^3 - 2*a^2*b + a*b^2)) - a*x)*(((a - b)*sqrt(b/(a^3 - 2*a^2*b + a*b^2)) + 1)/(a - b))^(3/4) + (a*x^4 + b)^(1/4))/x) - 1/8*(((a - b)*sqrt(b/(a^3 - 2*a^2*b + a*b^2)) + 1)/(a - b))^(1/4)*log(-(((a^2 - a*b)*x*sqrt(b/(a^3 - 2*a^2*b + a*b^2)) - a*x)*(((a - b)*sqrt(b/(a^3 - 2*a^2*b + a*b^2)) + 1)/(a - b))^(3/4) - (a*x^4 + b)^(1/4))/x) - 1/8*(-((a - b)*sqrt(b/(a^3 - 2*a^2*b + a*b^2)) - 1)/(a - b))^(1/4)*log((((a^2 - a*b)*x*sqrt(b/(a^3 - 2*a^2*b + a*b^2)) + a*x)*(-((a - b)*sqrt(b/(a^3 - 2*a^2*b + a*b^2)) - 1)/(a - b))^(3/4) + (a*x^4 + b)^(1/4))/x) + 1/8*(-((a - b)*sqrt(b/(a^3 - 2*a^2*b + a*b^2)) - 1)/(a - b))^(1/4)*log(-(((a^2 - a*b)*x*sqrt(b/(a^3 - 2*a^2*b + a*b^2)) + a*x)*(-((a - b)*sqrt(b/(a^3 - 2*a^2*b + a*b^2)) - 1)/(a - b))^(3/4) - (a*x^4 + b)^(1/4))/x) + 2*arctan((x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 + b))/x^2)/a^(1/4) - (a*x^4 + b)^(1/4)/a^(1/4))/x)/a^(1/4) + 1/2*log((a^(1/4)*x + (a*x^4 + b)^(1/4))/x)/a^(1/4) - 1/2*log(-(a^(1/4)*x - (a*x^4 + b)^(1/4))/x)/a^(1/4)","B",0
1522,1,336,0,0.707614," ","integrate((x^6-x^2-1)^(1/2)*(2*x^6+1)/(8*x^12-16*x^6-x^4+8),x, algorithm=""fricas"")","-\frac{1}{16} \, \sqrt{2} \sqrt{\sqrt{2} + 4} \arctan\left(\frac{196 \, {\left(4 \, x^{7} + \sqrt{2} x^{3} - 8 \, x^{3} - 4 \, x\right)} \sqrt{x^{6} - x^{2} - 1} \sqrt{\sqrt{2} + 4} - {\left(72 \, x^{12} - 176 \, x^{8} - 144 \, x^{6} + 41 \, x^{4} + 176 \, x^{2} - 4 \, \sqrt{2} {\left(8 \, x^{12} - 25 \, x^{8} - 16 \, x^{6} + 10 \, x^{4} + 25 \, x^{2} + 8\right)} + 72\right)} \sqrt{50 \, \sqrt{2} + 88} \sqrt{\sqrt{2} + 4}}{98 \, {\left(8 \, x^{12} - 32 \, x^{8} - 16 \, x^{6} + 31 \, x^{4} + 32 \, x^{2} + 8\right)}}\right) - \frac{1}{16} \, \sqrt{2} \sqrt{-\sqrt{2} + 4} \arctan\left(-\frac{196 \, {\left(4 \, x^{7} - \sqrt{2} x^{3} - 8 \, x^{3} - 4 \, x\right)} \sqrt{x^{6} - x^{2} - 1} \sqrt{-\sqrt{2} + 4} - {\left(72 \, x^{12} - 176 \, x^{8} - 144 \, x^{6} + 41 \, x^{4} + 176 \, x^{2} + 4 \, \sqrt{2} {\left(8 \, x^{12} - 25 \, x^{8} - 16 \, x^{6} + 10 \, x^{4} + 25 \, x^{2} + 8\right)} + 72\right)} \sqrt{-\sqrt{2} + 4} \sqrt{-50 \, \sqrt{2} + 88}}{98 \, {\left(8 \, x^{12} - 32 \, x^{8} - 16 \, x^{6} + 31 \, x^{4} + 32 \, x^{2} + 8\right)}}\right)"," ",0,"-1/16*sqrt(2)*sqrt(sqrt(2) + 4)*arctan(1/98*(196*(4*x^7 + sqrt(2)*x^3 - 8*x^3 - 4*x)*sqrt(x^6 - x^2 - 1)*sqrt(sqrt(2) + 4) - (72*x^12 - 176*x^8 - 144*x^6 + 41*x^4 + 176*x^2 - 4*sqrt(2)*(8*x^12 - 25*x^8 - 16*x^6 + 10*x^4 + 25*x^2 + 8) + 72)*sqrt(50*sqrt(2) + 88)*sqrt(sqrt(2) + 4))/(8*x^12 - 32*x^8 - 16*x^6 + 31*x^4 + 32*x^2 + 8)) - 1/16*sqrt(2)*sqrt(-sqrt(2) + 4)*arctan(-1/98*(196*(4*x^7 - sqrt(2)*x^3 - 8*x^3 - 4*x)*sqrt(x^6 - x^2 - 1)*sqrt(-sqrt(2) + 4) - (72*x^12 - 176*x^8 - 144*x^6 + 41*x^4 + 176*x^2 + 4*sqrt(2)*(8*x^12 - 25*x^8 - 16*x^6 + 10*x^4 + 25*x^2 + 8) + 72)*sqrt(-sqrt(2) + 4)*sqrt(-50*sqrt(2) + 88))/(8*x^12 - 32*x^8 - 16*x^6 + 31*x^4 + 32*x^2 + 8))","B",0
1523,1,189,0,0.472770," ","integrate(1/(x^2+1)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-2 \, \sqrt{2} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + x + \sqrt{x^{2} + 1} + 1} - \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} - 1\right) - 2 \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, x + 4 \, \sqrt{x^{2} + 1} + 4} - \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + 1\right) + \frac{1}{2} \, \sqrt{2} \log\left(4 \, \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, x + 4 \, \sqrt{x^{2} + 1} + 4\right) - \frac{1}{2} \, \sqrt{2} \log\left(-4 \, \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, x + 4 \, \sqrt{x^{2} + 1} + 4\right)"," ",0,"-2*sqrt(2)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + x + sqrt(x^2 + 1) + 1) - sqrt(2)*sqrt(x + sqrt(x^2 + 1)) - 1) - 2*sqrt(2)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + 4*x + 4*sqrt(x^2 + 1) + 4) - sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + 1) + 1/2*sqrt(2)*log(4*sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + 4*x + 4*sqrt(x^2 + 1) + 4) - 1/2*sqrt(2)*log(-4*sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + 4*x + 4*sqrt(x^2 + 1) + 4)","B",0
1524,1,2627,0,1.365274," ","integrate((x-(x^2+1)^(1/2))^(1/2)/(x^2+(x^2+1)^(1/2)),x, algorithm=""fricas"")","-\frac{1}{10} \, \sqrt{5} \sqrt{-2 \, \sqrt{5} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - \frac{3}{4} \, {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} - 9\right)} + 6 \, \sqrt{5} - 12 \, \sqrt{\sqrt{5} + 2} + 26} + 6} \log\left(\frac{1}{8} \, {\left({\left(\sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} - 4 \, \sqrt{5}\right)} {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - 4 \, \sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} + {\left(\sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - 12 \, \sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} + 40 \, \sqrt{5}\right)} {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} + 2 \, {\left({\left(\sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} - 4 \, \sqrt{5}\right)} {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} - 4 \, \sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} + 8 \, \sqrt{5}\right)} \sqrt{-\frac{3}{4} \, {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - \frac{3}{4} \, {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} - 9\right)} + 6 \, \sqrt{5} - 12 \, \sqrt{\sqrt{5} + 2} + 26} + 40 \, \sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} - 48 \, \sqrt{5}\right)} \sqrt{-2 \, \sqrt{5} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - \frac{3}{4} \, {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} - 9\right)} + 6 \, \sqrt{5} - 12 \, \sqrt{\sqrt{5} + 2} + 26} + 6} + 20 \, \sqrt{x - \sqrt{x^{2} + 1}}\right) + \frac{1}{10} \, \sqrt{5} \sqrt{-2 \, \sqrt{5} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - \frac{3}{4} \, {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} - 9\right)} + 6 \, \sqrt{5} - 12 \, \sqrt{\sqrt{5} + 2} + 26} + 6} \log\left(-\frac{1}{8} \, {\left({\left(\sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} - 4 \, \sqrt{5}\right)} {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - 4 \, \sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} + {\left(\sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - 12 \, \sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} + 40 \, \sqrt{5}\right)} {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} + 2 \, {\left({\left(\sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} - 4 \, \sqrt{5}\right)} {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} - 4 \, \sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} + 8 \, \sqrt{5}\right)} \sqrt{-\frac{3}{4} \, {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - \frac{3}{4} \, {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} - 9\right)} + 6 \, \sqrt{5} - 12 \, \sqrt{\sqrt{5} + 2} + 26} + 40 \, \sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} - 48 \, \sqrt{5}\right)} \sqrt{-2 \, \sqrt{5} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - \frac{3}{4} \, {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} - 9\right)} + 6 \, \sqrt{5} - 12 \, \sqrt{\sqrt{5} + 2} + 26} + 6} + 20 \, \sqrt{x - \sqrt{x^{2} + 1}}\right) - \frac{1}{10} \, \sqrt{5} \sqrt{-2 \, \sqrt{5} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - \frac{3}{4} \, {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} - 9\right)} + 6 \, \sqrt{5} - 12 \, \sqrt{\sqrt{5} + 2} + 26} + 6} \log\left(\frac{1}{8} \, {\left({\left(\sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} - 4 \, \sqrt{5}\right)} {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - 4 \, \sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} + {\left(\sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - 12 \, \sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} + 40 \, \sqrt{5}\right)} {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} - 2 \, {\left({\left(\sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} - 4 \, \sqrt{5}\right)} {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} - 4 \, \sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} + 8 \, \sqrt{5}\right)} \sqrt{-\frac{3}{4} \, {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - \frac{3}{4} \, {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} - 9\right)} + 6 \, \sqrt{5} - 12 \, \sqrt{\sqrt{5} + 2} + 26} + 40 \, \sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} - 48 \, \sqrt{5}\right)} \sqrt{-2 \, \sqrt{5} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - \frac{3}{4} \, {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} - 9\right)} + 6 \, \sqrt{5} - 12 \, \sqrt{\sqrt{5} + 2} + 26} + 6} + 20 \, \sqrt{x - \sqrt{x^{2} + 1}}\right) + \frac{1}{10} \, \sqrt{5} \sqrt{-2 \, \sqrt{5} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - \frac{3}{4} \, {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} - 9\right)} + 6 \, \sqrt{5} - 12 \, \sqrt{\sqrt{5} + 2} + 26} + 6} \log\left(-\frac{1}{8} \, {\left({\left(\sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} - 4 \, \sqrt{5}\right)} {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - 4 \, \sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} + {\left(\sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - 12 \, \sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} + 40 \, \sqrt{5}\right)} {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} - 2 \, {\left({\left(\sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} - 4 \, \sqrt{5}\right)} {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} - 4 \, \sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} + 8 \, \sqrt{5}\right)} \sqrt{-\frac{3}{4} \, {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - \frac{3}{4} \, {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} - 9\right)} + 6 \, \sqrt{5} - 12 \, \sqrt{\sqrt{5} + 2} + 26} + 40 \, \sqrt{5} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} - 48 \, \sqrt{5}\right)} \sqrt{-2 \, \sqrt{5} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - \frac{3}{4} \, {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} - 9\right)} + 6 \, \sqrt{5} - 12 \, \sqrt{\sqrt{5} + 2} + 26} + 6} + 20 \, \sqrt{x - \sqrt{x^{2} + 1}}\right) + \sqrt{\frac{1}{10} \, \sqrt{5} + \frac{1}{5} \, \sqrt{\sqrt{5} + 2} + \frac{3}{10}} \log\left(\frac{1}{4} \, {\left({\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{3} + {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} - 1\right)} + {\left({\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - 12 \, \sqrt{5} + 24 \, \sqrt{\sqrt{5} + 2} + 4\right)} {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} - 12 \, {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} + 28 \, \sqrt{5} - 56 \, \sqrt{\sqrt{5} + 2} + 44\right)} \sqrt{\frac{1}{10} \, \sqrt{5} + \frac{1}{5} \, \sqrt{\sqrt{5} + 2} + \frac{3}{10}} + 2 \, \sqrt{x - \sqrt{x^{2} + 1}}\right) - \sqrt{\frac{1}{10} \, \sqrt{5} + \frac{1}{5} \, \sqrt{\sqrt{5} + 2} + \frac{3}{10}} \log\left(-\frac{1}{4} \, {\left({\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{3} + {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} - 1\right)} + {\left({\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - 12 \, \sqrt{5} + 24 \, \sqrt{\sqrt{5} + 2} + 4\right)} {\left(\sqrt{5} + 2 \, \sqrt{\sqrt{5} + 2} + 3\right)} - 12 \, {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} + 28 \, \sqrt{5} - 56 \, \sqrt{\sqrt{5} + 2} + 44\right)} \sqrt{\frac{1}{10} \, \sqrt{5} + \frac{1}{5} \, \sqrt{\sqrt{5} + 2} + \frac{3}{10}} + 2 \, \sqrt{x - \sqrt{x^{2} + 1}}\right) - \sqrt{\frac{1}{10} \, \sqrt{5} - \frac{1}{5} \, \sqrt{\sqrt{5} + 2} + \frac{3}{10}} \log\left(\frac{1}{4} \, {\left({\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{3} - 8 \, {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - 12 \, \sqrt{5} + 24 \, \sqrt{\sqrt{5} + 2} - 28\right)} \sqrt{\frac{1}{10} \, \sqrt{5} - \frac{1}{5} \, \sqrt{\sqrt{5} + 2} + \frac{3}{10}} + 2 \, \sqrt{x - \sqrt{x^{2} + 1}}\right) + \sqrt{\frac{1}{10} \, \sqrt{5} - \frac{1}{5} \, \sqrt{\sqrt{5} + 2} + \frac{3}{10}} \log\left(-\frac{1}{4} \, {\left({\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{3} - 8 \, {\left(\sqrt{5} - 2 \, \sqrt{\sqrt{5} + 2} + 3\right)}^{2} - 12 \, \sqrt{5} + 24 \, \sqrt{\sqrt{5} + 2} - 28\right)} \sqrt{\frac{1}{10} \, \sqrt{5} - \frac{1}{5} \, \sqrt{\sqrt{5} + 2} + \frac{3}{10}} + 2 \, \sqrt{x - \sqrt{x^{2} + 1}}\right)"," ",0,"-1/10*sqrt(5)*sqrt(-2*sqrt(5) + 2*sqrt(-3/4*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)^2 - 3/4*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 - 1/2*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) - 9) + 6*sqrt(5) - 12*sqrt(sqrt(5) + 2) + 26) + 6)*log(1/8*((sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3) - 4*sqrt(5))*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)^2 - 4*sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 + (sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 - 12*sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3) + 40*sqrt(5))*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3) + 2*((sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3) - 4*sqrt(5))*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3) - 4*sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3) + 8*sqrt(5))*sqrt(-3/4*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)^2 - 3/4*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 - 1/2*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) - 9) + 6*sqrt(5) - 12*sqrt(sqrt(5) + 2) + 26) + 40*sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3) - 48*sqrt(5))*sqrt(-2*sqrt(5) + 2*sqrt(-3/4*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)^2 - 3/4*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 - 1/2*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) - 9) + 6*sqrt(5) - 12*sqrt(sqrt(5) + 2) + 26) + 6) + 20*sqrt(x - sqrt(x^2 + 1))) + 1/10*sqrt(5)*sqrt(-2*sqrt(5) + 2*sqrt(-3/4*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)^2 - 3/4*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 - 1/2*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) - 9) + 6*sqrt(5) - 12*sqrt(sqrt(5) + 2) + 26) + 6)*log(-1/8*((sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3) - 4*sqrt(5))*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)^2 - 4*sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 + (sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 - 12*sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3) + 40*sqrt(5))*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3) + 2*((sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3) - 4*sqrt(5))*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3) - 4*sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3) + 8*sqrt(5))*sqrt(-3/4*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)^2 - 3/4*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 - 1/2*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) - 9) + 6*sqrt(5) - 12*sqrt(sqrt(5) + 2) + 26) + 40*sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3) - 48*sqrt(5))*sqrt(-2*sqrt(5) + 2*sqrt(-3/4*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)^2 - 3/4*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 - 1/2*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) - 9) + 6*sqrt(5) - 12*sqrt(sqrt(5) + 2) + 26) + 6) + 20*sqrt(x - sqrt(x^2 + 1))) - 1/10*sqrt(5)*sqrt(-2*sqrt(5) - 2*sqrt(-3/4*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)^2 - 3/4*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 - 1/2*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) - 9) + 6*sqrt(5) - 12*sqrt(sqrt(5) + 2) + 26) + 6)*log(1/8*((sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3) - 4*sqrt(5))*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)^2 - 4*sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 + (sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 - 12*sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3) + 40*sqrt(5))*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3) - 2*((sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3) - 4*sqrt(5))*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3) - 4*sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3) + 8*sqrt(5))*sqrt(-3/4*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)^2 - 3/4*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 - 1/2*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) - 9) + 6*sqrt(5) - 12*sqrt(sqrt(5) + 2) + 26) + 40*sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3) - 48*sqrt(5))*sqrt(-2*sqrt(5) - 2*sqrt(-3/4*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)^2 - 3/4*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 - 1/2*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) - 9) + 6*sqrt(5) - 12*sqrt(sqrt(5) + 2) + 26) + 6) + 20*sqrt(x - sqrt(x^2 + 1))) + 1/10*sqrt(5)*sqrt(-2*sqrt(5) - 2*sqrt(-3/4*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)^2 - 3/4*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 - 1/2*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) - 9) + 6*sqrt(5) - 12*sqrt(sqrt(5) + 2) + 26) + 6)*log(-1/8*((sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3) - 4*sqrt(5))*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)^2 - 4*sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 + (sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 - 12*sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3) + 40*sqrt(5))*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3) - 2*((sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3) - 4*sqrt(5))*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3) - 4*sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3) + 8*sqrt(5))*sqrt(-3/4*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)^2 - 3/4*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 - 1/2*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) - 9) + 6*sqrt(5) - 12*sqrt(sqrt(5) + 2) + 26) + 40*sqrt(5)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3) - 48*sqrt(5))*sqrt(-2*sqrt(5) - 2*sqrt(-3/4*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)^2 - 3/4*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 - 1/2*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)*(sqrt(5) - 2*sqrt(sqrt(5) + 2) - 9) + 6*sqrt(5) - 12*sqrt(sqrt(5) + 2) + 26) + 6) + 20*sqrt(x - sqrt(x^2 + 1))) + sqrt(1/10*sqrt(5) + 1/5*sqrt(sqrt(5) + 2) + 3/10)*log(1/4*((sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^3 + (sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)^2*(sqrt(5) - 2*sqrt(sqrt(5) + 2) - 1) + ((sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 - 12*sqrt(5) + 24*sqrt(sqrt(5) + 2) + 4)*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3) - 12*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 + 28*sqrt(5) - 56*sqrt(sqrt(5) + 2) + 44)*sqrt(1/10*sqrt(5) + 1/5*sqrt(sqrt(5) + 2) + 3/10) + 2*sqrt(x - sqrt(x^2 + 1))) - sqrt(1/10*sqrt(5) + 1/5*sqrt(sqrt(5) + 2) + 3/10)*log(-1/4*((sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^3 + (sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3)^2*(sqrt(5) - 2*sqrt(sqrt(5) + 2) - 1) + ((sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 - 12*sqrt(5) + 24*sqrt(sqrt(5) + 2) + 4)*(sqrt(5) + 2*sqrt(sqrt(5) + 2) + 3) - 12*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 + 28*sqrt(5) - 56*sqrt(sqrt(5) + 2) + 44)*sqrt(1/10*sqrt(5) + 1/5*sqrt(sqrt(5) + 2) + 3/10) + 2*sqrt(x - sqrt(x^2 + 1))) - sqrt(1/10*sqrt(5) - 1/5*sqrt(sqrt(5) + 2) + 3/10)*log(1/4*((sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^3 - 8*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 - 12*sqrt(5) + 24*sqrt(sqrt(5) + 2) - 28)*sqrt(1/10*sqrt(5) - 1/5*sqrt(sqrt(5) + 2) + 3/10) + 2*sqrt(x - sqrt(x^2 + 1))) + sqrt(1/10*sqrt(5) - 1/5*sqrt(sqrt(5) + 2) + 3/10)*log(-1/4*((sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^3 - 8*(sqrt(5) - 2*sqrt(sqrt(5) + 2) + 3)^2 - 12*sqrt(5) + 24*sqrt(sqrt(5) + 2) - 28)*sqrt(1/10*sqrt(5) - 1/5*sqrt(sqrt(5) + 2) + 3/10) + 2*sqrt(x - sqrt(x^2 + 1)))","B",0
1525,-1,0,0,0.000000," ","integrate((a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/x^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1526,1,150,0,0.667567," ","integrate((-1+x)/(1+x)/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(105 \, \sqrt{2} {\left(x + 1\right)} \log\left(\frac{2 \, {\left(\sqrt{2} \sqrt{x + 1} \sqrt{\sqrt{x + 1} + 1} + \sqrt{2} \sqrt{x + 1}\right)} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1} + x + 4 \, \sqrt{x + 1} \sqrt{\sqrt{x + 1} + 1} + 4 \, \sqrt{x + 1} + 1}{x + 1}\right) - 4 \, {\left(3 \, {\left(6 \, x + 41\right)} \sqrt{x + 1} - {\left(15 \, {\left(x + 8\right)} \sqrt{x + 1} + 4 \, x + 4\right)} \sqrt{\sqrt{x + 1} + 1} - 4 \, x - 4\right)} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right)}}{105 \, {\left(x + 1\right)}}"," ",0,"2/105*(105*sqrt(2)*(x + 1)*log((2*(sqrt(2)*sqrt(x + 1)*sqrt(sqrt(x + 1) + 1) + sqrt(2)*sqrt(x + 1))*sqrt(sqrt(sqrt(x + 1) + 1) + 1) + x + 4*sqrt(x + 1)*sqrt(sqrt(x + 1) + 1) + 4*sqrt(x + 1) + 1)/(x + 1)) - 4*(3*(6*x + 41)*sqrt(x + 1) - (15*(x + 8)*sqrt(x + 1) + 4*x + 4)*sqrt(sqrt(x + 1) + 1) - 4*x - 4)*sqrt(sqrt(sqrt(x + 1) + 1) + 1))/(x + 1)","A",0
1527,1,139,0,0.665263," ","integrate(1/(-2+x)/(x^2+2*x+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{3} \cdot 9^{\frac{1}{6}} \sqrt{3} \arctan\left(\frac{9^{\frac{1}{6}} {\left(9^{\frac{1}{3}} \sqrt{3} {\left(x + 1\right)} + 6 \, \sqrt{3} {\left(x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}}\right)}}{9 \, {\left(x + 1\right)}}\right) - \frac{1}{18} \cdot 9^{\frac{2}{3}} \log\left(\frac{9^{\frac{2}{3}} {\left(x^{2} + 2 \, x + 1\right)} + 3 \cdot 9^{\frac{1}{3}} {\left(x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}} {\left(x + 1\right)} + 9 \, {\left(x^{2} + 2 \, x + 1\right)}^{\frac{2}{3}}}{x^{2} + 2 \, x + 1}\right) + \frac{1}{9} \cdot 9^{\frac{2}{3}} \log\left(-\frac{9^{\frac{1}{3}} {\left(x + 1\right)} - 3 \, {\left(x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}}}{x + 1}\right)"," ",0,"1/3*9^(1/6)*sqrt(3)*arctan(1/9*9^(1/6)*(9^(1/3)*sqrt(3)*(x + 1) + 6*sqrt(3)*(x^2 + 2*x + 1)^(1/3))/(x + 1)) - 1/18*9^(2/3)*log((9^(2/3)*(x^2 + 2*x + 1) + 3*9^(1/3)*(x^2 + 2*x + 1)^(1/3)*(x + 1) + 9*(x^2 + 2*x + 1)^(2/3))/(x^2 + 2*x + 1)) + 1/9*9^(2/3)*log(-(9^(1/3)*(x + 1) - 3*(x^2 + 2*x + 1)^(1/3))/(x + 1))","A",0
1528,1,104,0,0.835617," ","integrate((x^3-x)^(1/3)/x^2,x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x \arctan\left(-\frac{44032959556 \, \sqrt{3} {\left(x^{3} - x\right)}^{\frac{1}{3}} x + \sqrt{3} {\left(16754327161 \, x^{2} - 2707204793\right)} - 10524305234 \, \sqrt{3} {\left(x^{3} - x\right)}^{\frac{2}{3}}}{81835897185 \, x^{2} - 1102302937}\right) + x \log\left(-3 \, {\left(x^{3} - x\right)}^{\frac{1}{3}} x + 3 \, {\left(x^{3} - x\right)}^{\frac{2}{3}} + 1\right) + 6 \, {\left(x^{3} - x\right)}^{\frac{1}{3}}}{4 \, x}"," ",0,"-1/4*(2*sqrt(3)*x*arctan(-(44032959556*sqrt(3)*(x^3 - x)^(1/3)*x + sqrt(3)*(16754327161*x^2 - 2707204793) - 10524305234*sqrt(3)*(x^3 - x)^(2/3))/(81835897185*x^2 - 1102302937)) + x*log(-3*(x^3 - x)^(1/3)*x + 3*(x^3 - x)^(2/3) + 1) + 6*(x^3 - x)^(1/3))/x","A",0
1529,1,103,0,0.654382," ","integrate((x^3-x^2)^(1/3)/x,x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + \frac{1}{3} \, \log\left(-\frac{x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{6} \, \log\left(\frac{x^{2} + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 - x^2)^(1/3))/x) + (x^3 - x^2)^(1/3) + 1/3*log(-(x - (x^3 - x^2)^(1/3))/x) - 1/6*log((x^2 + (x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(2/3))/x^2)","A",0
1530,-1,0,0,0.000000," ","integrate((a*x^2-3*b)/(a*x^2+x^3-b)/(a*x^3-b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1531,-1,0,0,0.000000," ","integrate(1/(a*x-2*b)/(a*x^3-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1532,-1,0,0,0.000000," ","integrate((a*x^4-b)*(a*x^4-b*x^2)^(1/4)/x^4/(a*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1533,-1,0,0,0.000000," ","integrate((a*x^4-b)*(a*x^4-b*x^2)^(1/4)/x^4/(a*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1534,-1,0,0,0.000000," ","integrate((a*x^2-b)/(x^4-a*x^2+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1535,-1,0,0,0.000000," ","integrate((a*x^2-b)/(x^4-a*x^2+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1536,-1,0,0,0.000000," ","integrate((a*x^4+b*x^2)^(1/4)/x^4/(a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1537,-1,0,0,0.000000," ","integrate((a*x^4+b*x^2)^(1/4)/x^4/(a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1538,1,166,0,0.988481," ","integrate((a^3*x^3+b^3)/(a^3*x^3-b^3)/(a^4*x^4+b^4)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{2} \log\left(-\frac{3 \, a^{4} x^{4} - 4 \, a^{3} b x^{3} + 6 \, a^{2} b^{2} x^{2} - 4 \, a b^{3} x + 3 \, b^{4} - 2 \, \sqrt{2} \sqrt{a^{4} x^{4} + b^{4}} {\left(a^{2} x^{2} - a b x + b^{2}\right)}}{a^{4} x^{4} - 4 \, a^{3} b x^{3} + 6 \, a^{2} b^{2} x^{2} - 4 \, a b^{3} x + b^{4}}\right) + 8 \, \arctan\left(\frac{\sqrt{a^{4} x^{4} + b^{4}}}{a^{2} x^{2} + 2 \, a b x + b^{2}}\right)}{12 \, a b}"," ",0,"1/12*(sqrt(2)*log(-(3*a^4*x^4 - 4*a^3*b*x^3 + 6*a^2*b^2*x^2 - 4*a*b^3*x + 3*b^4 - 2*sqrt(2)*sqrt(a^4*x^4 + b^4)*(a^2*x^2 - a*b*x + b^2))/(a^4*x^4 - 4*a^3*b*x^3 + 6*a^2*b^2*x^2 - 4*a*b^3*x + b^4)) + 8*arctan(sqrt(a^4*x^4 + b^4)/(a^2*x^2 + 2*a*b*x + b^2)))/(a*b)","A",0
1539,-2,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(2*x^6+x^3+1)/x^6/(2*x^6-1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1540,-2,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(2*x^6+x^3+1)/x^6/(2*x^6-1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1541,-1,0,0,0.000000," ","integrate((x^6+1)*(2*x^6-1)*(2*x^6+x^4-1)^(5/4)/x^10/(2*x^6-x^4-1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1542,-1,0,0,0.000000," ","integrate(1/(a^3*x^3+b^2*x^2)^(1/3)/(a^6*x^6+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1543,-1,0,0,0.000000," ","integrate(1/(a^3*x^3+b^2*x^2)^(1/3)/(a^6*x^6+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1544,-1,0,0,0.000000," ","integrate(((-3*k^2+1)*x+2*k^2*x^3)*(k^4*x^4-2*k^2*x^2+1)/((-x^2+1)*(-k^2*x^2+1))^(3/4)/(1-d+(3*d*k^2-1)*x^2-3*d*k^4*x^4+d*k^6*x^6),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1545,1,330,0,22.763569," ","integrate((2*x^4-1)^(1/4)*(x^8+x^4-1)/x^6/(x^4-1),x, algorithm=""fricas"")","\frac{20 \cdot 2^{\frac{1}{4}} x^{5} \arctan\left(2 \cdot 2^{\frac{3}{4}} {\left(2 \, x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 2 \cdot 2^{\frac{1}{4}} {\left(2 \, x^{4} - 1\right)}^{\frac{3}{4}} x + \frac{1}{2} \cdot 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{2 \, x^{4} - 1} x^{2} + 2^{\frac{1}{4}} {\left(4 \, x^{4} - 1\right)}\right)}\right) + 5 \cdot 2^{\frac{1}{4}} x^{5} \log\left(4 \, \sqrt{2} {\left(2 \, x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 4 \cdot 2^{\frac{1}{4}} \sqrt{2 \, x^{4} - 1} x^{2} + 2^{\frac{3}{4}} {\left(4 \, x^{4} - 1\right)} + 4 \, {\left(2 \, x^{4} - 1\right)}^{\frac{3}{4}} x\right) - 5 \cdot 2^{\frac{1}{4}} x^{5} \log\left(4 \, \sqrt{2} {\left(2 \, x^{4} - 1\right)}^{\frac{1}{4}} x^{3} - 4 \cdot 2^{\frac{1}{4}} \sqrt{2 \, x^{4} - 1} x^{2} - 2^{\frac{3}{4}} {\left(4 \, x^{4} - 1\right)} + 4 \, {\left(2 \, x^{4} - 1\right)}^{\frac{3}{4}} x\right) + 10 \, x^{5} \arctan\left(\frac{2 \, {\left({\left(2 \, x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + {\left(2 \, x^{4} - 1\right)}^{\frac{3}{4}} x\right)}}{x^{4} - 1}\right) + 10 \, x^{5} \log\left(-\frac{3 \, x^{4} - 2 \, {\left(2 \, x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 2 \, \sqrt{2 \, x^{4} - 1} x^{2} - 2 \, {\left(2 \, x^{4} - 1\right)}^{\frac{3}{4}} x - 1}{x^{4} - 1}\right) + 8 \, {\left(2 \, x^{4} - 1\right)}^{\frac{5}{4}}}{40 \, x^{5}}"," ",0,"1/40*(20*2^(1/4)*x^5*arctan(2*2^(3/4)*(2*x^4 - 1)^(1/4)*x^3 + 2*2^(1/4)*(2*x^4 - 1)^(3/4)*x + 1/2*2^(3/4)*(2*2^(3/4)*sqrt(2*x^4 - 1)*x^2 + 2^(1/4)*(4*x^4 - 1))) + 5*2^(1/4)*x^5*log(4*sqrt(2)*(2*x^4 - 1)^(1/4)*x^3 + 4*2^(1/4)*sqrt(2*x^4 - 1)*x^2 + 2^(3/4)*(4*x^4 - 1) + 4*(2*x^4 - 1)^(3/4)*x) - 5*2^(1/4)*x^5*log(4*sqrt(2)*(2*x^4 - 1)^(1/4)*x^3 - 4*2^(1/4)*sqrt(2*x^4 - 1)*x^2 - 2^(3/4)*(4*x^4 - 1) + 4*(2*x^4 - 1)^(3/4)*x) + 10*x^5*arctan(2*((2*x^4 - 1)^(1/4)*x^3 + (2*x^4 - 1)^(3/4)*x)/(x^4 - 1)) + 10*x^5*log(-(3*x^4 - 2*(2*x^4 - 1)^(1/4)*x^3 + 2*sqrt(2*x^4 - 1)*x^2 - 2*(2*x^4 - 1)^(3/4)*x - 1)/(x^4 - 1)) + 8*(2*x^4 - 1)^(5/4))/x^5","B",0
1546,-1,0,0,0.000000," ","integrate(1/(a*x^4-b)^(1/4)/(x^8-a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1547,-1,0,0,0.000000," ","integrate(1/(a*x^4-b)^(1/4)/(x^8-a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1548,1,99,0,0.490452," ","integrate(x^6*(x^3-1)^(2/3),x, algorithm=""fricas"")","\frac{1}{81} \, {\left(9 \, x^{7} - 3 \, x^{4} - 4 \, x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} + \frac{4}{243} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{4}{243} \, \log\left(-\frac{x - {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x}\right) - \frac{2}{243} \, \log\left(\frac{x^{2} + {\left(x^{3} - 1\right)}^{\frac{1}{3}} x + {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"1/81*(9*x^7 - 3*x^4 - 4*x)*(x^3 - 1)^(2/3) + 4/243*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 - 1)^(1/3))/x) + 4/243*log(-(x - (x^3 - 1)^(1/3))/x) - 2/243*log((x^2 + (x^3 - 1)^(1/3)*x + (x^3 - 1)^(2/3))/x^2)","A",0
1549,1,99,0,0.554082," ","integrate(x^6*(x^3+1)^(2/3),x, algorithm=""fricas"")","\frac{1}{81} \, {\left(9 \, x^{7} + 3 \, x^{4} - 4 \, x\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}} - \frac{4}{243} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{3 \, x}\right) - \frac{4}{243} \, \log\left(-\frac{x - {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x}\right) + \frac{2}{243} \, \log\left(\frac{x^{2} + {\left(x^{3} + 1\right)}^{\frac{1}{3}} x + {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"1/81*(9*x^7 + 3*x^4 - 4*x)*(x^3 + 1)^(2/3) - 4/243*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + 1)^(1/3))/x) - 4/243*log(-(x - (x^3 + 1)^(1/3))/x) + 2/243*log((x^2 + (x^3 + 1)^(1/3)*x + (x^3 + 1)^(2/3))/x^2)","A",0
1550,1,103,0,0.930933," ","integrate(x^4*(x^3+x)^(1/3),x, algorithm=""fricas"")","-\frac{5}{162} \, \sqrt{3} \arctan\left(-\frac{196 \, \sqrt{3} {\left(x^{3} + x\right)}^{\frac{1}{3}} x - \sqrt{3} {\left(539 \, x^{2} + 507\right)} - 1274 \, \sqrt{3} {\left(x^{3} + x\right)}^{\frac{2}{3}}}{2205 \, x^{2} + 2197}\right) + \frac{1}{108} \, {\left(18 \, x^{5} + 3 \, x^{3} - 5 \, x\right)} {\left(x^{3} + x\right)}^{\frac{1}{3}} - \frac{5}{324} \, \log\left(3 \, {\left(x^{3} + x\right)}^{\frac{1}{3}} x - 3 \, {\left(x^{3} + x\right)}^{\frac{2}{3}} + 1\right)"," ",0,"-5/162*sqrt(3)*arctan(-(196*sqrt(3)*(x^3 + x)^(1/3)*x - sqrt(3)*(539*x^2 + 507) - 1274*sqrt(3)*(x^3 + x)^(2/3))/(2205*x^2 + 2197)) + 1/108*(18*x^5 + 3*x^3 - 5*x)*(x^3 + x)^(1/3) - 5/324*log(3*(x^3 + x)^(1/3)*x - 3*(x^3 + x)^(2/3) + 1)","A",0
1551,-1,0,0,0.000000," ","integrate(x^2*(3*a*b^2-2*b*(2*a+b)*x+(a+2*b)*x^2)/(x*(-a+x)*(-b+x)^2)^(3/4)/(a*b^2-b*(2*a+b)*x+(a+2*b)*x^2+(-1+d)*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1552,1,96,0,0.640314," ","integrate((x^4+1)^(1/3)*(x^4+3)/x^17,x, algorithm=""fricas"")","\frac{20 \, \sqrt{3} x^{16} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{4} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) + 10 \, x^{16} \log\left({\left(x^{4} + 1\right)}^{\frac{2}{3}} + {\left(x^{4} + 1\right)}^{\frac{1}{3}} + 1\right) - 20 \, x^{16} \log\left({\left(x^{4} + 1\right)}^{\frac{1}{3}} - 1\right) - 3 \, {\left(10 \, x^{12} - 6 \, x^{8} + 45 \, x^{4} + 81\right)} {\left(x^{4} + 1\right)}^{\frac{1}{3}}}{1296 \, x^{16}}"," ",0,"1/1296*(20*sqrt(3)*x^16*arctan(2/3*sqrt(3)*(x^4 + 1)^(1/3) + 1/3*sqrt(3)) + 10*x^16*log((x^4 + 1)^(2/3) + (x^4 + 1)^(1/3) + 1) - 20*x^16*log((x^4 + 1)^(1/3) - 1) - 3*(10*x^12 - 6*x^8 + 45*x^4 + 81)*(x^4 + 1)^(1/3))/x^16","A",0
1553,-2,0,0,0.000000," ","integrate((x^2-2)*(x^3+x)^(1/3)/x^2/(x^4-2*x^2+4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1554,-2,0,0,0.000000," ","integrate((x^2-2)*(x^3+x)^(1/3)/x^2/(x^4-2*x^2+4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1555,1,331,0,2.360197," ","integrate(1/(x^4-1)^2/(x^4-x^2)^(1/4),x, algorithm=""fricas"")","-\frac{300 \cdot 2^{\frac{3}{4}} {\left(x^{7} - x^{5} - x^{3} + x\right)} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{4} - x^{2}} x + 2^{\frac{1}{4}} {\left(3 \, x^{3} - x\right)}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{3} + x\right)}}\right) - 75 \cdot 2^{\frac{3}{4}} {\left(x^{7} - x^{5} - x^{3} + x\right)} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(3 \, x^{3} - x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{4} - x^{2}} x + 4 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{x^{3} + x}\right) + 75 \cdot 2^{\frac{3}{4}} {\left(x^{7} - x^{5} - x^{3} + x\right)} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(3 \, x^{3} - x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{4} - x^{2}} x + 4 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{x^{3} + x}\right) - 16 \, {\left(67 \, x^{4} + 2 \, x^{2} - 85\right)} {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{1280 \, {\left(x^{7} - x^{5} - x^{3} + x\right)}}"," ",0,"-1/1280*(300*2^(3/4)*(x^7 - x^5 - x^3 + x)*arctan(1/2*(4*2^(3/4)*(x^4 - x^2)^(1/4)*x^2 + 2^(3/4)*(2*2^(3/4)*sqrt(x^4 - x^2)*x + 2^(1/4)*(3*x^3 - x)) + 4*2^(1/4)*(x^4 - x^2)^(3/4))/(x^3 + x)) - 75*2^(3/4)*(x^7 - x^5 - x^3 + x)*log((4*sqrt(2)*(x^4 - x^2)^(1/4)*x^2 + 2^(3/4)*(3*x^3 - x) + 4*2^(1/4)*sqrt(x^4 - x^2)*x + 4*(x^4 - x^2)^(3/4))/(x^3 + x)) + 75*2^(3/4)*(x^7 - x^5 - x^3 + x)*log((4*sqrt(2)*(x^4 - x^2)^(1/4)*x^2 - 2^(3/4)*(3*x^3 - x) - 4*2^(1/4)*sqrt(x^4 - x^2)*x + 4*(x^4 - x^2)^(3/4))/(x^3 + x)) - 16*(67*x^4 + 2*x^2 - 85)*(x^4 - x^2)^(3/4))/(x^7 - x^5 - x^3 + x)","B",0
1556,1,184,0,0.543734," ","integrate((x^2-1)*(x^4-x^3+x^2-x+1)/(x^2-x+1)^2/(x^2+x+1)/(x^4+3*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(x^{2} - x + 1\right)} \log\left(\frac{3 \, x^{4} - 2 \, x^{3} + 2 \, \sqrt{2} \sqrt{x^{4} + 3 \, x^{2} + 1} {\left(x^{2} - x + 1\right)} + 9 \, x^{2} - 2 \, x + 3}{x^{4} + 2 \, x^{3} + 3 \, x^{2} + 2 \, x + 1}\right) + 4 \, \sqrt{2} {\left(x^{2} - x + 1\right)} \log\left(\frac{3 \, x^{4} + 2 \, x^{3} - 2 \, \sqrt{2} \sqrt{x^{4} + 3 \, x^{2} + 1} {\left(x^{2} + x + 1\right)} + 9 \, x^{2} + 2 \, x + 3}{x^{4} - 2 \, x^{3} + 3 \, x^{2} - 2 \, x + 1}\right) + 4 \, \sqrt{x^{4} + 3 \, x^{2} + 1}}{16 \, {\left(x^{2} - x + 1\right)}}"," ",0,"1/16*(sqrt(2)*(x^2 - x + 1)*log((3*x^4 - 2*x^3 + 2*sqrt(2)*sqrt(x^4 + 3*x^2 + 1)*(x^2 - x + 1) + 9*x^2 - 2*x + 3)/(x^4 + 2*x^3 + 3*x^2 + 2*x + 1)) + 4*sqrt(2)*(x^2 - x + 1)*log((3*x^4 + 2*x^3 - 2*sqrt(2)*sqrt(x^4 + 3*x^2 + 1)*(x^2 + x + 1) + 9*x^2 + 2*x + 3)/(x^4 - 2*x^3 + 3*x^2 - 2*x + 1)) + 4*sqrt(x^4 + 3*x^2 + 1))/(x^2 - x + 1)","B",0
1557,-1,0,0,0.000000," ","integrate((a*x^3+b)*(2*a*x^3+b)/x^6/(a*x^4+b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1558,1,165,0,0.768148," ","integrate((a^3*x^3-b^3)/(a^3*x^3+b^3)/(a^4*x^4+b^4)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{2} \log\left(-\frac{3 \, a^{4} x^{4} + 4 \, a^{3} b x^{3} + 6 \, a^{2} b^{2} x^{2} + 4 \, a b^{3} x + 3 \, b^{4} + 2 \, \sqrt{2} \sqrt{a^{4} x^{4} + b^{4}} {\left(a^{2} x^{2} + a b x + b^{2}\right)}}{a^{4} x^{4} + 4 \, a^{3} b x^{3} + 6 \, a^{2} b^{2} x^{2} + 4 \, a b^{3} x + b^{4}}\right) - 8 \, \arctan\left(\frac{\sqrt{a^{4} x^{4} + b^{4}}}{a^{2} x^{2} - 2 \, a b x + b^{2}}\right)}{12 \, a b}"," ",0,"1/12*(sqrt(2)*log(-(3*a^4*x^4 + 4*a^3*b*x^3 + 6*a^2*b^2*x^2 + 4*a*b^3*x + 3*b^4 + 2*sqrt(2)*sqrt(a^4*x^4 + b^4)*(a^2*x^2 + a*b*x + b^2))/(a^4*x^4 + 4*a^3*b*x^3 + 6*a^2*b^2*x^2 + 4*a*b^3*x + b^4)) - 8*arctan(sqrt(a^4*x^4 + b^4)/(a^2*x^2 - 2*a*b*x + b^2)))/(a*b)","A",0
1559,1,228,0,0.686210," ","integrate(x^4*(a*x^2-2*b)/(a*x^2-b)^2/(c*x^4+a*x^2-b)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(a c x^{2} - b c\right)} \frac{1}{c^{5}}^{\frac{1}{4}} \arctan\left(\frac{c \sqrt{\frac{c^{3} \sqrt{\frac{1}{c^{5}}} x^{2} + \sqrt{c x^{4} + a x^{2} - b}}{x^{2}}} \frac{1}{c^{5}}^{\frac{1}{4}} x - {\left(c x^{4} + a x^{2} - b\right)}^{\frac{1}{4}} c \frac{1}{c^{5}}^{\frac{1}{4}}}{x}\right) + {\left(a c x^{2} - b c\right)} \frac{1}{c^{5}}^{\frac{1}{4}} \log\left(\frac{c^{4} \frac{1}{c^{5}}^{\frac{3}{4}} x + {\left(c x^{4} + a x^{2} - b\right)}^{\frac{1}{4}}}{x}\right) - {\left(a c x^{2} - b c\right)} \frac{1}{c^{5}}^{\frac{1}{4}} \log\left(-\frac{c^{4} \frac{1}{c^{5}}^{\frac{3}{4}} x - {\left(c x^{4} + a x^{2} - b\right)}^{\frac{1}{4}}}{x}\right) - 4 \, {\left(c x^{4} + a x^{2} - b\right)}^{\frac{3}{4}} x}{8 \, {\left(a c x^{2} - b c\right)}}"," ",0,"-1/8*(4*(a*c*x^2 - b*c)*(c^(-5))^(1/4)*arctan((c*sqrt((c^3*sqrt(c^(-5))*x^2 + sqrt(c*x^4 + a*x^2 - b))/x^2)*(c^(-5))^(1/4)*x - (c*x^4 + a*x^2 - b)^(1/4)*c*(c^(-5))^(1/4))/x) + (a*c*x^2 - b*c)*(c^(-5))^(1/4)*log((c^4*(c^(-5))^(3/4)*x + (c*x^4 + a*x^2 - b)^(1/4))/x) - (a*c*x^2 - b*c)*(c^(-5))^(1/4)*log(-(c^4*(c^(-5))^(3/4)*x - (c*x^4 + a*x^2 - b)^(1/4))/x) - 4*(c*x^4 + a*x^2 - b)^(3/4)*x)/(a*c*x^2 - b*c)","B",0
1560,1,154,0,2.224303," ","integrate((x^2-2*x-1)*(x^2+2*x-1)/(x^4+x^3+2*x^2-x+1)/(x^5-x)^(1/3),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{541310 \, \sqrt{3} {\left(x^{5} - x\right)}^{\frac{1}{3}} {\left(x^{2} + 1\right)} + \sqrt{3} {\left(311575 \, x^{4} + 193471 \, x^{3} + 623150 \, x^{2} - 193471 \, x + 311575\right)} + 777518 \, \sqrt{3} {\left(x^{5} - x\right)}^{\frac{2}{3}}}{3 \, {\left(166375 \, x^{4} - 493039 \, x^{3} + 332750 \, x^{2} + 493039 \, x + 166375\right)}}\right) + \frac{1}{2} \, \log\left(\frac{x^{4} + x^{3} + 2 \, x^{2} + 3 \, {\left(x^{5} - x\right)}^{\frac{1}{3}} {\left(x^{2} + 1\right)} - x + 3 \, {\left(x^{5} - x\right)}^{\frac{2}{3}} + 1}{x^{4} + x^{3} + 2 \, x^{2} - x + 1}\right)"," ",0,"-sqrt(3)*arctan(1/3*(541310*sqrt(3)*(x^5 - x)^(1/3)*(x^2 + 1) + sqrt(3)*(311575*x^4 + 193471*x^3 + 623150*x^2 - 193471*x + 311575) + 777518*sqrt(3)*(x^5 - x)^(2/3))/(166375*x^4 - 493039*x^3 + 332750*x^2 + 493039*x + 166375)) + 1/2*log((x^4 + x^3 + 2*x^2 + 3*(x^5 - x)^(1/3)*(x^2 + 1) - x + 3*(x^5 - x)^(2/3) + 1)/(x^4 + x^3 + 2*x^2 - x + 1))","A",0
1561,-1,0,0,0.000000," ","integrate((x^6-a*x^3-b)/x^6/(a*x^4+b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1562,-1,0,0,0.000000," ","integrate(1/(a^3*x^3+b^2*x^2)^(1/3)/(a^6*x^6-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1563,-1,0,0,0.000000," ","integrate(1/(a^3*x^3+b^2*x^2)^(1/3)/(a^6*x^6-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1564,-1,0,0,0.000000," ","integrate(1/(a^3*x^3+b^2*x^2)^(1/3)/(2*a^6*x^6-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1565,-1,0,0,0.000000," ","integrate(1/(a^3*x^3+b^2*x^2)^(1/3)/(2*a^6*x^6-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1566,-1,0,0,0.000000," ","integrate(1/(a^3*x^3+b^2*x^2)^(1/3)/(2*a^6*x^6+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1567,-1,0,0,0.000000," ","integrate(1/(a^3*x^3+b^2*x^2)^(1/3)/(2*a^6*x^6+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1568,1,784,0,62.926081," ","integrate(x^4*(x^3-4)/(x^3-1)^(1/4)/(x^8-x^6+2*x^3-1),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{x^{8} + 2 \, x^{7} + x^{6} - 2 \, x^{4} - 2 \, x^{3} + 2 \, \sqrt{2} {\left(3 \, x^{5} - x^{4} + x\right)} {\left(x^{3} - 1\right)}^{\frac{3}{4}} + 2 \, \sqrt{2} {\left(x^{7} - 3 \, x^{6} + 3 \, x^{3}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{4}} + 4 \, {\left(x^{6} + x^{5} - x^{2}\right)} \sqrt{x^{3} - 1} + {\left(16 \, {\left(x^{3} - 1\right)}^{\frac{3}{4}} x^{5} + 2 \, \sqrt{2} {\left(3 \, x^{6} - x^{5} + x^{2}\right)} \sqrt{x^{3} - 1} + \sqrt{2} {\left(x^{8} + 8 \, x^{7} - x^{6} - 8 \, x^{4} + 2 \, x^{3} - 1\right)} + 4 \, {\left(x^{7} + x^{6} - x^{3}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{4} - 2 \, \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{1}{4}} x^{3} + x^{3} + 4 \, \sqrt{x^{3} - 1} x^{2} - 2 \, \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{3}{4}} x - 1}{x^{4} + x^{3} - 1}} + 1}{x^{8} - 14 \, x^{7} + x^{6} + 14 \, x^{4} - 2 \, x^{3} + 1}\right) + \frac{1}{2} \, \sqrt{2} \arctan\left(\frac{x^{8} + 2 \, x^{7} + x^{6} - 2 \, x^{4} - 2 \, x^{3} - 2 \, \sqrt{2} {\left(3 \, x^{5} - x^{4} + x\right)} {\left(x^{3} - 1\right)}^{\frac{3}{4}} - 2 \, \sqrt{2} {\left(x^{7} - 3 \, x^{6} + 3 \, x^{3}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{4}} + 4 \, {\left(x^{6} + x^{5} - x^{2}\right)} \sqrt{x^{3} - 1} + {\left(16 \, {\left(x^{3} - 1\right)}^{\frac{3}{4}} x^{5} - 2 \, \sqrt{2} {\left(3 \, x^{6} - x^{5} + x^{2}\right)} \sqrt{x^{3} - 1} - \sqrt{2} {\left(x^{8} + 8 \, x^{7} - x^{6} - 8 \, x^{4} + 2 \, x^{3} - 1\right)} + 4 \, {\left(x^{7} + x^{6} - x^{3}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{4} + 2 \, \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{1}{4}} x^{3} + x^{3} + 4 \, \sqrt{x^{3} - 1} x^{2} + 2 \, \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{3}{4}} x - 1}{x^{4} + x^{3} - 1}} + 1}{x^{8} - 14 \, x^{7} + x^{6} + 14 \, x^{4} - 2 \, x^{3} + 1}\right) + \frac{1}{8} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{4} + 2 \, \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{1}{4}} x^{3} + x^{3} + 4 \, \sqrt{x^{3} - 1} x^{2} + 2 \, \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{3}{4}} x - 1\right)}}{x^{4} + x^{3} - 1}\right) - \frac{1}{8} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{4} - 2 \, \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{1}{4}} x^{3} + x^{3} + 4 \, \sqrt{x^{3} - 1} x^{2} - 2 \, \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{3}{4}} x - 1\right)}}{x^{4} + x^{3} - 1}\right) + \frac{1}{2} \, \arctan\left(\frac{2 \, {\left({\left(x^{3} - 1\right)}^{\frac{1}{4}} x^{3} + {\left(x^{3} - 1\right)}^{\frac{3}{4}} x\right)}}{x^{4} - x^{3} + 1}\right) + \frac{1}{2} \, \log\left(\frac{x^{4} - 2 \, {\left(x^{3} - 1\right)}^{\frac{1}{4}} x^{3} + x^{3} + 2 \, \sqrt{x^{3} - 1} x^{2} - 2 \, {\left(x^{3} - 1\right)}^{\frac{3}{4}} x - 1}{x^{4} - x^{3} + 1}\right)"," ",0,"-1/2*sqrt(2)*arctan((x^8 + 2*x^7 + x^6 - 2*x^4 - 2*x^3 + 2*sqrt(2)*(3*x^5 - x^4 + x)*(x^3 - 1)^(3/4) + 2*sqrt(2)*(x^7 - 3*x^6 + 3*x^3)*(x^3 - 1)^(1/4) + 4*(x^6 + x^5 - x^2)*sqrt(x^3 - 1) + (16*(x^3 - 1)^(3/4)*x^5 + 2*sqrt(2)*(3*x^6 - x^5 + x^2)*sqrt(x^3 - 1) + sqrt(2)*(x^8 + 8*x^7 - x^6 - 8*x^4 + 2*x^3 - 1) + 4*(x^7 + x^6 - x^3)*(x^3 - 1)^(1/4))*sqrt((x^4 - 2*sqrt(2)*(x^3 - 1)^(1/4)*x^3 + x^3 + 4*sqrt(x^3 - 1)*x^2 - 2*sqrt(2)*(x^3 - 1)^(3/4)*x - 1)/(x^4 + x^3 - 1)) + 1)/(x^8 - 14*x^7 + x^6 + 14*x^4 - 2*x^3 + 1)) + 1/2*sqrt(2)*arctan((x^8 + 2*x^7 + x^6 - 2*x^4 - 2*x^3 - 2*sqrt(2)*(3*x^5 - x^4 + x)*(x^3 - 1)^(3/4) - 2*sqrt(2)*(x^7 - 3*x^6 + 3*x^3)*(x^3 - 1)^(1/4) + 4*(x^6 + x^5 - x^2)*sqrt(x^3 - 1) + (16*(x^3 - 1)^(3/4)*x^5 - 2*sqrt(2)*(3*x^6 - x^5 + x^2)*sqrt(x^3 - 1) - sqrt(2)*(x^8 + 8*x^7 - x^6 - 8*x^4 + 2*x^3 - 1) + 4*(x^7 + x^6 - x^3)*(x^3 - 1)^(1/4))*sqrt((x^4 + 2*sqrt(2)*(x^3 - 1)^(1/4)*x^3 + x^3 + 4*sqrt(x^3 - 1)*x^2 + 2*sqrt(2)*(x^3 - 1)^(3/4)*x - 1)/(x^4 + x^3 - 1)) + 1)/(x^8 - 14*x^7 + x^6 + 14*x^4 - 2*x^3 + 1)) + 1/8*sqrt(2)*log(4*(x^4 + 2*sqrt(2)*(x^3 - 1)^(1/4)*x^3 + x^3 + 4*sqrt(x^3 - 1)*x^2 + 2*sqrt(2)*(x^3 - 1)^(3/4)*x - 1)/(x^4 + x^3 - 1)) - 1/8*sqrt(2)*log(4*(x^4 - 2*sqrt(2)*(x^3 - 1)^(1/4)*x^3 + x^3 + 4*sqrt(x^3 - 1)*x^2 - 2*sqrt(2)*(x^3 - 1)^(3/4)*x - 1)/(x^4 + x^3 - 1)) + 1/2*arctan(2*((x^3 - 1)^(1/4)*x^3 + (x^3 - 1)^(3/4)*x)/(x^4 - x^3 + 1)) + 1/2*log((x^4 - 2*(x^3 - 1)^(1/4)*x^3 + x^3 + 2*sqrt(x^3 - 1)*x^2 - 2*(x^3 - 1)^(3/4)*x - 1)/(x^4 - x^3 + 1))","B",0
1569,-1,0,0,0.000000," ","integrate(x^6/(a*x^4+b)^(3/4)/(a^2*x^8-b^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1570,-1,0,0,0.000000," ","integrate((a*x^2-b^2)*(b+(a*x^2+b^2)^(1/2))^(1/2)/(a*x^2+b^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1571,1,100,0,0.634652," ","integrate((x^3+x^2)^(1/3),x, algorithm=""fricas"")","-\frac{1}{9} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{1}{6} \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(3 \, x + 1\right)} + \frac{1}{9} \, \log\left(-\frac{x - {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{18} \, \log\left(\frac{x^{2} + {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-1/9*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + x^2)^(1/3))/x) + 1/6*(x^3 + x^2)^(1/3)*(3*x + 1) + 1/9*log(-(x - (x^3 + x^2)^(1/3))/x) - 1/18*log((x^2 + (x^3 + x^2)^(1/3)*x + (x^3 + x^2)^(2/3))/x^2)","A",0
1572,1,217,0,0.663149," ","integrate((k^3*x^3-1)/((1-x)*x*(-k^2*x+1))^(1/2)/(k^3*x^3+1),x, algorithm=""fricas"")","\frac{2 \, \sqrt{k^{2} - k + 1} {\left(k + 1\right)} \arctan\left(\frac{\sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - {\left(2 \, k^{2} - k + 2\right)} x + 1\right)} \sqrt{k^{2} - k + 1}}{2 \, {\left({\left(k^{4} - k^{3} + k^{2}\right)} x^{3} - {\left(k^{4} - k^{3} + 2 \, k^{2} - k + 1\right)} x^{2} + {\left(k^{2} - k + 1\right)} x\right)}}\right) + {\left(k^{2} - k + 1\right)} \arctan\left(\frac{\sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 2 \, {\left(k^{2} + k + 1\right)} x + 1\right)}}{2 \, {\left({\left(k^{3} + k^{2}\right)} x^{3} - {\left(k^{3} + k^{2} + k + 1\right)} x^{2} + {\left(k + 1\right)} x\right)}}\right)}{3 \, {\left(k^{3} + 1\right)}}"," ",0,"1/3*(2*sqrt(k^2 - k + 1)*(k + 1)*arctan(1/2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - (2*k^2 - k + 2)*x + 1)*sqrt(k^2 - k + 1)/((k^4 - k^3 + k^2)*x^3 - (k^4 - k^3 + 2*k^2 - k + 1)*x^2 + (k^2 - k + 1)*x)) + (k^2 - k + 1)*arctan(1/2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 2*(k^2 + k + 1)*x + 1)/((k^3 + k^2)*x^3 - (k^3 + k^2 + k + 1)*x^2 + (k + 1)*x)))/(k^3 + 1)","B",0
1573,-1,0,0,0.000000," ","integrate((a*x^2+b)/(x^4+a*x^2+b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1574,-1,0,0,0.000000," ","integrate((a*x^2+b)/(x^4+a*x^2+b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1575,1,107,0,1.806490," ","integrate((c*k^2*x^4+b*x^2+c)/((-x^2+1)*(-k^2*x^2+1))^(1/2)/(k^2*x^4-1),x, algorithm=""fricas"")","\frac{{\left(2 \, c k^{2} - {\left(b + 2 \, c\right)} k + b\right)} \arctan\left(\frac{\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1}}{{\left(k + 1\right)} x}\right) + {\left(2 \, c k^{2} + {\left(b + 2 \, c\right)} k + b\right)} \arctan\left(\frac{\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1}}{{\left(k - 1\right)} x}\right)}{4 \, {\left(k^{3} - k\right)}}"," ",0,"1/4*((2*c*k^2 - (b + 2*c)*k + b)*arctan(sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)/((k + 1)*x)) + (2*c*k^2 + (b + 2*c)*k + b)*arctan(sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)/((k - 1)*x)))/(k^3 - k)","A",0
1576,-1,0,0,0.000000," ","integrate((a*x^4+3*b)/(a*x^4+x^3-b)/(a*x^5-b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1577,1,112,0,0.794330," ","integrate((x^6-1)/x^6/(x^3+x)^(1/3),x, algorithm=""fricas"")","\frac{40 \, \sqrt{3} x^{6} \arctan\left(-\frac{196 \, \sqrt{3} {\left(x^{3} + x\right)}^{\frac{1}{3}} x - \sqrt{3} {\left(539 \, x^{2} + 507\right)} - 1274 \, \sqrt{3} {\left(x^{3} + x\right)}^{\frac{2}{3}}}{2205 \, x^{2} + 2197}\right) - 20 \, x^{6} \log\left(3 \, {\left(x^{3} + x\right)}^{\frac{1}{3}} x - 3 \, {\left(x^{3} + x\right)}^{\frac{2}{3}} + 1\right) + 3 \, {\left(9 \, x^{4} - 6 \, x^{2} + 5\right)} {\left(x^{3} + x\right)}^{\frac{2}{3}}}{80 \, x^{6}}"," ",0,"1/80*(40*sqrt(3)*x^6*arctan(-(196*sqrt(3)*(x^3 + x)^(1/3)*x - sqrt(3)*(539*x^2 + 507) - 1274*sqrt(3)*(x^3 + x)^(2/3))/(2205*x^2 + 2197)) - 20*x^6*log(3*(x^3 + x)^(1/3)*x - 3*(x^3 + x)^(2/3) + 1) + 3*(9*x^4 - 6*x^2 + 5)*(x^3 + x)^(2/3))/x^6","A",0
1578,1,117,0,1.014823," ","integrate((x^3-1)^(2/3)*(x^6+2)/x^6,x, algorithm=""fricas"")","-\frac{10 \, \sqrt{3} x^{5} \arctan\left(-\frac{25382 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} - 13720 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(5831 \, x^{3} - 7200\right)}}{58653 \, x^{3} - 8000}\right) - 5 \, x^{5} \log\left(-3 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + 1\right) - 3 \, {\left(5 \, x^{6} + 6 \, x^{3} - 6\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{45 \, x^{5}}"," ",0,"-1/45*(10*sqrt(3)*x^5*arctan(-(25382*sqrt(3)*(x^3 - 1)^(1/3)*x^2 - 13720*sqrt(3)*(x^3 - 1)^(2/3)*x + sqrt(3)*(5831*x^3 - 7200))/(58653*x^3 - 8000)) - 5*x^5*log(-3*(x^3 - 1)^(1/3)*x^2 + 3*(x^3 - 1)^(2/3)*x + 1) - 3*(5*x^6 + 6*x^3 - 6)*(x^3 - 1)^(2/3))/x^5","A",0
1579,1,117,0,1.086922," ","integrate((x^3-1)^(2/3)*(x^6+x^3-2)/x^6,x, algorithm=""fricas"")","\frac{10 \, \sqrt{3} x^{5} \arctan\left(-\frac{25382 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} - 13720 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(5831 \, x^{3} - 7200\right)}}{58653 \, x^{3} - 8000}\right) - 5 \, x^{5} \log\left(-3 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + 1\right) + 3 \, {\left(10 \, x^{6} - 27 \, x^{3} + 12\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{90 \, x^{5}}"," ",0,"1/90*(10*sqrt(3)*x^5*arctan(-(25382*sqrt(3)*(x^3 - 1)^(1/3)*x^2 - 13720*sqrt(3)*(x^3 - 1)^(2/3)*x + sqrt(3)*(5831*x^3 - 7200))/(58653*x^3 - 8000)) - 5*x^5*log(-3*(x^3 - 1)^(1/3)*x^2 + 3*(x^3 - 1)^(2/3)*x + 1) + 3*(10*x^6 - 27*x^3 + 12)*(x^3 - 1)^(2/3))/x^5","A",0
1580,1,117,0,0.919638," ","integrate((x^3+1)^(2/3)*(2*x^6+1)/x^6,x, algorithm=""fricas"")","\frac{20 \, \sqrt{3} x^{5} \arctan\left(-\frac{25382 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 13720 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(5831 \, x^{3} + 7200\right)}}{58653 \, x^{3} + 8000}\right) - 10 \, x^{5} \log\left(3 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + 1\right) + 3 \, {\left(10 \, x^{6} - 3 \, x^{3} - 3\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{45 \, x^{5}}"," ",0,"1/45*(20*sqrt(3)*x^5*arctan(-(25382*sqrt(3)*(x^3 + 1)^(1/3)*x^2 - 13720*sqrt(3)*(x^3 + 1)^(2/3)*x + sqrt(3)*(5831*x^3 + 7200))/(58653*x^3 + 8000)) - 10*x^5*log(3*(x^3 + 1)^(1/3)*x^2 - 3*(x^3 + 1)^(2/3)*x + 1) + 3*(10*x^6 - 3*x^3 - 3)*(x^3 + 1)^(2/3))/x^5","A",0
1581,-1,0,0,0.000000," ","integrate((2*a*x^5+3*b)/(a*x^5+x^3-b)/(a*x^6-b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1582,1,5743,0,16.810915," ","integrate((x^4-1)^(1/4)*(x^8+x^4+1)/x^6/(2*x^8-1),x, algorithm=""fricas"")","\frac{20 \, \sqrt{2} x^{5} {\left(61 \, \sqrt{2} - 71\right)}^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(784 \, x^{8} - 784 \, x^{4} + 2 \, {\left(90 \, x^{6} - 58 \, x^{2} + \sqrt{2} {\left(58 \, x^{6} - 45 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} \sqrt{61 \, \sqrt{2} - 71} + 49 \, \sqrt{2} {\left(10 \, x^{8} - 10 \, x^{4} + 3\right)} + 98\right)} \sqrt{\sqrt{61 \, \sqrt{2} - 71} {\left(5 \, \sqrt{2} + 1\right)}} {\left(61 \, \sqrt{2} - 71\right)}^{\frac{1}{4}} + 28 \, {\left(49 \, {\left(2 \, x^{5} + \sqrt{2} {\left(3 \, x^{5} - x\right)} - 3 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + {\left(58 \, x^{7} - 45 \, x^{3} + \sqrt{2} {\left(45 \, x^{7} - 29 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} \sqrt{61 \, \sqrt{2} - 71}\right)} {\left(61 \, \sqrt{2} - 71\right)}^{\frac{1}{4}}}{4802 \, {\left(2 \, x^{8} - 1\right)}}\right) + 5 \, \sqrt{2} x^{5} {\left(61 \, \sqrt{2} - 71\right)}^{\frac{1}{4}} \log\left(\frac{686 \, {\left(2 \, x^{5} - \sqrt{2} x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + 14 \, {\left(22 \, x^{7} - 12 \, x^{3} + \sqrt{2} {\left(12 \, x^{7} - 11 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} \sqrt{61 \, \sqrt{2} - 71} + {\left(98 \, {\left(6 \, x^{6} - 2 \, x^{2} + \sqrt{2} {\left(2 \, x^{6} - 3 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} + {\left(116 \, x^{8} - 116 \, x^{4} + \sqrt{2} {\left(90 \, x^{8} - 90 \, x^{4} + 13\right)} + 32\right)} \sqrt{61 \, \sqrt{2} - 71}\right)} {\left(61 \, \sqrt{2} - 71\right)}^{\frac{1}{4}}}{2 \, x^{8} - 1}\right) - 5 \, \sqrt{2} x^{5} {\left(61 \, \sqrt{2} - 71\right)}^{\frac{1}{4}} \log\left(\frac{686 \, {\left(2 \, x^{5} - \sqrt{2} x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + 14 \, {\left(22 \, x^{7} - 12 \, x^{3} + \sqrt{2} {\left(12 \, x^{7} - 11 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} \sqrt{61 \, \sqrt{2} - 71} - {\left(98 \, {\left(6 \, x^{6} - 2 \, x^{2} + \sqrt{2} {\left(2 \, x^{6} - 3 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} + {\left(116 \, x^{8} - 116 \, x^{4} + \sqrt{2} {\left(90 \, x^{8} - 90 \, x^{4} + 13\right)} + 32\right)} \sqrt{61 \, \sqrt{2} - 71}\right)} {\left(61 \, \sqrt{2} - 71\right)}^{\frac{1}{4}}}{2 \, x^{8} - 1}\right) - 20 \, x^{5} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{1}{4}} \arctan\left(-\frac{1070843080384 \, x^{48} - 5913486747392 \, x^{44} + 13489291746112 \, x^{40} - 16041721625216 \, x^{36} + 10177133566992 \, x^{32} - 2984994192768 \, x^{28} + 169531267808 \, x^{24} + 263533760 \, x^{20} + 41516449716 \, x^{16} - 9342271792 \, x^{12} + 1011310804 \, x^{8} - 46118408 \, x^{4} - 67228 \, {\left(810688 \, x^{46} - 3300704 \, x^{42} + 5566048 \, x^{38} - 4690832 \, x^{34} + 1685088 \, x^{30} - 100080 \, x^{26} + 179824 \, x^{22} - 109448 \, x^{18} - 52228 \, x^{14} + 12210 \, x^{10} - 578 \, x^{6} + 11 \, x^{2} - \sqrt{2} {\left(564640 \, x^{46} - 5779968 \, x^{42} + 16974192 \, x^{38} - 21532576 \, x^{34} + 12159632 \, x^{30} - 2257344 \, x^{26} + 37112 \, x^{22} - 174448 \, x^{18} + 3362 \, x^{14} + 5680 \, x^{10} - 293 \, x^{6} + 6 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} \sqrt{61 \, \sqrt{2} + 71} + \sqrt{14} {\left(5488 \, {\left(391136 \, x^{45} - 2069248 \, x^{41} + 3437184 \, x^{37} - 1877760 \, x^{33} - 154768 \, x^{29} + 199680 \, x^{25} + 65728 \, x^{21} + 11968 \, x^{17} - 3850 \, x^{13} - 80 \, x^{9} - \sqrt{2} {\left(332800 \, x^{45} - 2089936 \, x^{41} + 4083712 \, x^{37} - 3148160 \, x^{33} + 816896 \, x^{29} - 68232 \, x^{25} + 68352 \, x^{21} + 7312 \, x^{17} - 2688 \, x^{13} - 57 \, x^{9}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{61 \, \sqrt{2} + 71} - {\left(98 \, {\left(5163328 \, x^{46} - 34277664 \, x^{42} + 72312672 \, x^{38} - 63645680 \, x^{34} + 23071008 \, x^{30} - 4224976 \, x^{26} + 1737648 \, x^{22} - 75000 \, x^{18} - 93468 \, x^{14} + 34214 \, x^{10} - 2114 \, x^{6} + 45 \, x^{2} - \sqrt{2} {\left(5769760 \, x^{46} - 34301216 \, x^{42} + 70731504 \, x^{38} - 63826672 \, x^{34} + 24244048 \, x^{30} - 3234000 \, x^{26} + 836088 \, x^{22} - 238584 \, x^{18} + 1002 \, x^{14} + 19366 \, x^{10} - 1309 \, x^{6} + 29 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} - {\left(68566464 \, x^{48} - 584166592 \, x^{44} + 1803246976 \, x^{40} - 2593305760 \, x^{36} + 1779401648 \, x^{32} - 497618400 \, x^{28} + 46058368 \, x^{24} - 27645008 \, x^{20} + 3558004 \, x^{16} + 2170628 \, x^{12} - 282040 \, x^{8} + 16382 \, x^{4} - 2 \, \sqrt{2} {\left(34250656 \, x^{48} - 258415904 \, x^{44} + 740587408 \, x^{40} - 1014652720 \, x^{36} + 674825568 \, x^{32} - 188789840 \, x^{28} + 21702920 \, x^{24} - 10965592 \, x^{20} + 586570 \, x^{16} + 979526 \, x^{12} - 114699 \, x^{8} + 6361 \, x^{4} - 127\right)} - 335\right)} \sqrt{61 \, \sqrt{2} + 71}\right)} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{3}{4}} + 14 \, {\left(196 \, {\left(394240 \, x^{45} - 2873408 \, x^{41} + 6497632 \, x^{37} - 6047616 \, x^{33} + 2140416 \, x^{29} - 144480 \, x^{25} + 40048 \, x^{21} + 3616 \, x^{17} - 11552 \, x^{13} + 1148 \, x^{9} - 34 \, x^{5} - \sqrt{2} {\left(567840 \, x^{45} - 3201312 \, x^{41} + 6126160 \, x^{37} - 4823936 \, x^{33} + 1294864 \, x^{29} - 59920 \, x^{25} + 126152 \, x^{21} - 24256 \, x^{17} - 6310 \, x^{13} + 742 \, x^{9} - 23 \, x^{5}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + {\left(10498496 \, x^{47} - 52397824 \, x^{43} + 73747104 \, x^{39} - 17336960 \, x^{35} - 25311648 \, x^{31} + 8428160 \, x^{27} + 492624 \, x^{23} + 2002112 \, x^{19} - 103924 \, x^{15} - 24880 \, x^{11} + 6882 \, x^{7} - 264 \, x^{3} - \sqrt{2} {\left(4728064 \, x^{47} - 26310880 \, x^{43} + 33288576 \, x^{39} + 7460272 \, x^{35} - 30588800 \, x^{31} + 9467600 \, x^{27} + 1411776 \, x^{23} + 453208 \, x^{19} + 114832 \, x^{15} - 29830 \, x^{11} + 5304 \, x^{7} - 193 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} \sqrt{61 \, \sqrt{2} + 71}\right)} \sqrt{61 \, \sqrt{2} + 71} - 2151296 \, {\left(5248 \, x^{47} - 28864 \, x^{43} + 60400 \, x^{39} - 62224 \, x^{35} + 34296 \, x^{31} - 10760 \, x^{27} + 1940 \, x^{23} - 12 \, x^{19} - 14 \, x^{15} - 10 \, x^{11} + \sqrt{2} {\left(2576 \, x^{47} - 14368 \, x^{43} + 34160 \, x^{39} - 43048 \, x^{35} + 29120 \, x^{31} - 9444 \, x^{27} + 1124 \, x^{23} - 142 \, x^{19} + 15 \, x^{15} + 7 \, x^{11}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} - 392 \, {\left(4349632 \, x^{48} - 39505760 \, x^{44} + 109692576 \, x^{40} - 129159296 \, x^{36} + 59250016 \, x^{32} + 1415120 \, x^{28} - 5926256 \, x^{24} + 53312 \, x^{20} - 235396 \, x^{16} + 69874 \, x^{12} - 3822 \, x^{8} + {\left(2646688 \, x^{46} - 15237728 \, x^{42} + 28884656 \, x^{38} - 21695616 \, x^{34} + 4499664 \, x^{30} + 798800 \, x^{26} + 129144 \, x^{22} + 13888 \, x^{18} - 40254 \, x^{14} + 642 \, x^{10} + 103 \, x^{6} - 2 \, \sqrt{2} {\left(637936 \, x^{46} - 4066368 \, x^{42} + 8185104 \, x^{38} - 6611040 \, x^{34} + 1882712 \, x^{30} - 208784 \, x^{26} + 210552 \, x^{22} - 17416 \, x^{18} - 12925 \, x^{14} + 184 \, x^{10} + 37 \, x^{6}\right)}\right)} \sqrt{x^{4} - 1} \sqrt{61 \, \sqrt{2} + 71} - 98 \, \sqrt{2} {\left(46192 \, x^{48} - 269184 \, x^{44} + 638992 \, x^{40} - 767552 \, x^{36} + 483864 \, x^{32} - 169440 \, x^{28} + 54584 \, x^{24} - 17328 \, x^{20} - 565 \, x^{16} + 464 \, x^{12} - 27 \, x^{8}\right)}\right)} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{1372 \, {\left(\sqrt{2} x^{6} + x^{2}\right)} \sqrt{x^{4} - 1} - 7 \, {\left(2 \, x^{8} - 5 \, \sqrt{2} {\left(2 \, x^{8} - 1\right)} - 1\right)} \sqrt{61 \, \sqrt{2} + 71} + 2 \, {\left({\left(26 \, x^{5} - \sqrt{2} {\left(32 \, x^{5} - 13 \, x\right)} - 32 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{61 \, \sqrt{2} + 71} - 49 \, {\left(6 \, x^{7} - 2 \, x^{3} - \sqrt{2} {\left(2 \, x^{7} - 3 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{1}{4}}}{2 \, x^{8} - 1}} + 98 \, {\left({\left(84770240 \, x^{45} - 506339456 \, x^{41} + 1062618144 \, x^{37} - 979117888 \, x^{33} + 374087776 \, x^{29} - 44624960 \, x^{25} + 13075472 \, x^{21} - 2727456 \, x^{17} - 1971636 \, x^{13} + 249112 \, x^{9} - 19046 \, x^{5} - \sqrt{2} {\left(38490112 \, x^{45} - 271881568 \, x^{41} + 620203136 \, x^{37} - 595757904 \, x^{33} + 224354048 \, x^{29} - 19751280 \, x^{25} + 9549504 \, x^{21} - 4580904 \, x^{17} - 744768 \, x^{13} + 131986 \, x^{9} - 11832 \, x^{5} + 335 \, x\right)} + 508 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{61 \, \sqrt{2} + 71} - 49 \, {\left(10656960 \, x^{47} - 62174656 \, x^{43} + 133850272 \, x^{39} - 134582176 \, x^{35} + 63040480 \, x^{31} - 11629920 \, x^{27} + 2046800 \, x^{23} - 1532240 \, x^{19} + 270460 \, x^{15} + 59892 \, x^{11} - 6078 \, x^{7} + 174 \, x^{3} - \sqrt{2} {\left(1409088 \, x^{47} - 14855264 \, x^{43} + 41389664 \, x^{39} - 50887632 \, x^{35} + 31535520 \, x^{31} - 10006512 \, x^{27} + 1266608 \, x^{23} + 218392 \, x^{19} - 129068 \, x^{15} + 64162 \, x^{11} - 5106 \, x^{7} + 135 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{3}{4}} + 6588344 \, \sqrt{2} {\left(121248 \, x^{48} - 664768 \, x^{44} + 1475824 \, x^{40} - 1696656 \, x^{36} + 1056912 \, x^{32} - 324992 \, x^{28} + 28600 \, x^{24} + 648 \, x^{20} + 4450 \, x^{16} - 1316 \, x^{12} + 51 \, x^{8} - x^{4}\right)} + 2744 \, {\left(49 \, {\left(1050528 \, x^{46} - 5554048 \, x^{42} + 10575248 \, x^{38} - 9024896 \, x^{34} + 3514320 \, x^{30} - 922752 \, x^{26} + 492648 \, x^{22} - 123808 \, x^{18} - 9582 \, x^{14} + 2456 \, x^{10} - 115 \, x^{6} - \sqrt{2} {\left(253856 \, x^{46} - 2382752 \, x^{42} + 6088688 \, x^{38} - 6303936 \, x^{34} + 2421584 \, x^{30} + 103568 \, x^{26} - 189032 \, x^{22} + 19920 \, x^{18} - 13806 \, x^{14} + 1990 \, x^{10} - 85 \, x^{6}\right)}\right)} \sqrt{x^{4} - 1} - {\left(1653472 \, x^{48} - 7958880 \, x^{44} + 16108208 \, x^{40} - 15601200 \, x^{36} + 4931952 \, x^{32} + 2562384 \, x^{28} - 2103240 \, x^{24} + 613640 \, x^{20} - 188682 \, x^{16} - 15742 \, x^{12} - 2105 \, x^{8} + 193 \, x^{4} + 2 \, \sqrt{2} {\left(698112 \, x^{48} - 3230800 \, x^{44} + 5655024 \, x^{40} - 4718720 \, x^{36} + 1737824 \, x^{32} + 362312 \, x^{28} - 831032 \, x^{24} + 329272 \, x^{20} - 12856 \, x^{16} + 10347 \, x^{12} + 583 \, x^{8} - 66 \, x^{4}\right)}\right)} \sqrt{61 \, \sqrt{2} + 71}\right)} \sqrt{61 \, \sqrt{2} + 71} - 38416 \, {\left(49 \, {\left(196960 \, x^{45} - 980384 \, x^{41} + 1882624 \, x^{37} - 1780608 \, x^{33} + 906480 \, x^{29} - 283216 \, x^{25} + 60128 \, x^{21} - 1600 \, x^{17} - 514 \, x^{13} + 126 \, x^{9} + \sqrt{2} {\left(17824 \, x^{45} + 23312 \, x^{41} - 19456 \, x^{37} - 259008 \, x^{33} + 409488 \, x^{29} - 189944 \, x^{25} + 20128 \, x^{21} - 2752 \, x^{17} + 498 \, x^{13} - 91 \, x^{9}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + {\left(826400 \, x^{47} - 6554208 \, x^{43} + 16724800 \, x^{39} - 19063552 \, x^{35} + 10249296 \, x^{31} - 2596336 \, x^{27} + 594304 \, x^{23} - 155296 \, x^{19} - 29478 \, x^{15} + 3922 \, x^{11} + 148 \, x^{7} - \sqrt{2} {\left(853312 \, x^{47} - 4698352 \, x^{43} + 9017776 \, x^{39} - 6885696 \, x^{35} + 842336 \, x^{31} + 1198920 \, x^{27} - 273064 \, x^{23} - 33248 \, x^{19} - 24988 \, x^{15} + 2901 \, x^{11} + 103 \, x^{7}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} \sqrt{61 \, \sqrt{2} + 71}\right)} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{1}{4}} + 823543}{823543 \, {\left(1783744 \, x^{48} - 12228608 \, x^{44} + 29945024 \, x^{40} - 33926144 \, x^{36} + 17890064 \, x^{32} - 3611648 \, x^{28} + 433824 \, x^{24} - 284160 \, x^{20} - 21180 \, x^{16} + 20608 \, x^{12} - 1588 \, x^{8} + 64 \, x^{4} - 1\right)}}\right) - 20 \, x^{5} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{1}{4}} \arctan\left(\frac{1070843080384 \, x^{48} - 5913486747392 \, x^{44} + 13489291746112 \, x^{40} - 16041721625216 \, x^{36} + 10177133566992 \, x^{32} - 2984994192768 \, x^{28} + 169531267808 \, x^{24} + 263533760 \, x^{20} + 41516449716 \, x^{16} - 9342271792 \, x^{12} + 1011310804 \, x^{8} - 46118408 \, x^{4} - 67228 \, {\left(810688 \, x^{46} - 3300704 \, x^{42} + 5566048 \, x^{38} - 4690832 \, x^{34} + 1685088 \, x^{30} - 100080 \, x^{26} + 179824 \, x^{22} - 109448 \, x^{18} - 52228 \, x^{14} + 12210 \, x^{10} - 578 \, x^{6} + 11 \, x^{2} - \sqrt{2} {\left(564640 \, x^{46} - 5779968 \, x^{42} + 16974192 \, x^{38} - 21532576 \, x^{34} + 12159632 \, x^{30} - 2257344 \, x^{26} + 37112 \, x^{22} - 174448 \, x^{18} + 3362 \, x^{14} + 5680 \, x^{10} - 293 \, x^{6} + 6 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} \sqrt{61 \, \sqrt{2} + 71} + \sqrt{14} {\left(5488 \, {\left(391136 \, x^{45} - 2069248 \, x^{41} + 3437184 \, x^{37} - 1877760 \, x^{33} - 154768 \, x^{29} + 199680 \, x^{25} + 65728 \, x^{21} + 11968 \, x^{17} - 3850 \, x^{13} - 80 \, x^{9} - \sqrt{2} {\left(332800 \, x^{45} - 2089936 \, x^{41} + 4083712 \, x^{37} - 3148160 \, x^{33} + 816896 \, x^{29} - 68232 \, x^{25} + 68352 \, x^{21} + 7312 \, x^{17} - 2688 \, x^{13} - 57 \, x^{9}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{61 \, \sqrt{2} + 71} + {\left(98 \, {\left(5163328 \, x^{46} - 34277664 \, x^{42} + 72312672 \, x^{38} - 63645680 \, x^{34} + 23071008 \, x^{30} - 4224976 \, x^{26} + 1737648 \, x^{22} - 75000 \, x^{18} - 93468 \, x^{14} + 34214 \, x^{10} - 2114 \, x^{6} + 45 \, x^{2} - \sqrt{2} {\left(5769760 \, x^{46} - 34301216 \, x^{42} + 70731504 \, x^{38} - 63826672 \, x^{34} + 24244048 \, x^{30} - 3234000 \, x^{26} + 836088 \, x^{22} - 238584 \, x^{18} + 1002 \, x^{14} + 19366 \, x^{10} - 1309 \, x^{6} + 29 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} - {\left(68566464 \, x^{48} - 584166592 \, x^{44} + 1803246976 \, x^{40} - 2593305760 \, x^{36} + 1779401648 \, x^{32} - 497618400 \, x^{28} + 46058368 \, x^{24} - 27645008 \, x^{20} + 3558004 \, x^{16} + 2170628 \, x^{12} - 282040 \, x^{8} + 16382 \, x^{4} - 2 \, \sqrt{2} {\left(34250656 \, x^{48} - 258415904 \, x^{44} + 740587408 \, x^{40} - 1014652720 \, x^{36} + 674825568 \, x^{32} - 188789840 \, x^{28} + 21702920 \, x^{24} - 10965592 \, x^{20} + 586570 \, x^{16} + 979526 \, x^{12} - 114699 \, x^{8} + 6361 \, x^{4} - 127\right)} - 335\right)} \sqrt{61 \, \sqrt{2} + 71}\right)} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{3}{4}} + 14 \, {\left(196 \, {\left(394240 \, x^{45} - 2873408 \, x^{41} + 6497632 \, x^{37} - 6047616 \, x^{33} + 2140416 \, x^{29} - 144480 \, x^{25} + 40048 \, x^{21} + 3616 \, x^{17} - 11552 \, x^{13} + 1148 \, x^{9} - 34 \, x^{5} - \sqrt{2} {\left(567840 \, x^{45} - 3201312 \, x^{41} + 6126160 \, x^{37} - 4823936 \, x^{33} + 1294864 \, x^{29} - 59920 \, x^{25} + 126152 \, x^{21} - 24256 \, x^{17} - 6310 \, x^{13} + 742 \, x^{9} - 23 \, x^{5}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + {\left(10498496 \, x^{47} - 52397824 \, x^{43} + 73747104 \, x^{39} - 17336960 \, x^{35} - 25311648 \, x^{31} + 8428160 \, x^{27} + 492624 \, x^{23} + 2002112 \, x^{19} - 103924 \, x^{15} - 24880 \, x^{11} + 6882 \, x^{7} - 264 \, x^{3} - \sqrt{2} {\left(4728064 \, x^{47} - 26310880 \, x^{43} + 33288576 \, x^{39} + 7460272 \, x^{35} - 30588800 \, x^{31} + 9467600 \, x^{27} + 1411776 \, x^{23} + 453208 \, x^{19} + 114832 \, x^{15} - 29830 \, x^{11} + 5304 \, x^{7} - 193 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} \sqrt{61 \, \sqrt{2} + 71}\right)} \sqrt{61 \, \sqrt{2} + 71} - 2151296 \, {\left(5248 \, x^{47} - 28864 \, x^{43} + 60400 \, x^{39} - 62224 \, x^{35} + 34296 \, x^{31} - 10760 \, x^{27} + 1940 \, x^{23} - 12 \, x^{19} - 14 \, x^{15} - 10 \, x^{11} + \sqrt{2} {\left(2576 \, x^{47} - 14368 \, x^{43} + 34160 \, x^{39} - 43048 \, x^{35} + 29120 \, x^{31} - 9444 \, x^{27} + 1124 \, x^{23} - 142 \, x^{19} + 15 \, x^{15} + 7 \, x^{11}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + 392 \, {\left(4349632 \, x^{48} - 39505760 \, x^{44} + 109692576 \, x^{40} - 129159296 \, x^{36} + 59250016 \, x^{32} + 1415120 \, x^{28} - 5926256 \, x^{24} + 53312 \, x^{20} - 235396 \, x^{16} + 69874 \, x^{12} - 3822 \, x^{8} + {\left(2646688 \, x^{46} - 15237728 \, x^{42} + 28884656 \, x^{38} - 21695616 \, x^{34} + 4499664 \, x^{30} + 798800 \, x^{26} + 129144 \, x^{22} + 13888 \, x^{18} - 40254 \, x^{14} + 642 \, x^{10} + 103 \, x^{6} - 2 \, \sqrt{2} {\left(637936 \, x^{46} - 4066368 \, x^{42} + 8185104 \, x^{38} - 6611040 \, x^{34} + 1882712 \, x^{30} - 208784 \, x^{26} + 210552 \, x^{22} - 17416 \, x^{18} - 12925 \, x^{14} + 184 \, x^{10} + 37 \, x^{6}\right)}\right)} \sqrt{x^{4} - 1} \sqrt{61 \, \sqrt{2} + 71} - 98 \, \sqrt{2} {\left(46192 \, x^{48} - 269184 \, x^{44} + 638992 \, x^{40} - 767552 \, x^{36} + 483864 \, x^{32} - 169440 \, x^{28} + 54584 \, x^{24} - 17328 \, x^{20} - 565 \, x^{16} + 464 \, x^{12} - 27 \, x^{8}\right)}\right)} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{1372 \, {\left(\sqrt{2} x^{6} + x^{2}\right)} \sqrt{x^{4} - 1} - 7 \, {\left(2 \, x^{8} - 5 \, \sqrt{2} {\left(2 \, x^{8} - 1\right)} - 1\right)} \sqrt{61 \, \sqrt{2} + 71} - 2 \, {\left({\left(26 \, x^{5} - \sqrt{2} {\left(32 \, x^{5} - 13 \, x\right)} - 32 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{61 \, \sqrt{2} + 71} - 49 \, {\left(6 \, x^{7} - 2 \, x^{3} - \sqrt{2} {\left(2 \, x^{7} - 3 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{1}{4}}}{2 \, x^{8} - 1}} - 98 \, {\left({\left(84770240 \, x^{45} - 506339456 \, x^{41} + 1062618144 \, x^{37} - 979117888 \, x^{33} + 374087776 \, x^{29} - 44624960 \, x^{25} + 13075472 \, x^{21} - 2727456 \, x^{17} - 1971636 \, x^{13} + 249112 \, x^{9} - 19046 \, x^{5} - \sqrt{2} {\left(38490112 \, x^{45} - 271881568 \, x^{41} + 620203136 \, x^{37} - 595757904 \, x^{33} + 224354048 \, x^{29} - 19751280 \, x^{25} + 9549504 \, x^{21} - 4580904 \, x^{17} - 744768 \, x^{13} + 131986 \, x^{9} - 11832 \, x^{5} + 335 \, x\right)} + 508 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{61 \, \sqrt{2} + 71} - 49 \, {\left(10656960 \, x^{47} - 62174656 \, x^{43} + 133850272 \, x^{39} - 134582176 \, x^{35} + 63040480 \, x^{31} - 11629920 \, x^{27} + 2046800 \, x^{23} - 1532240 \, x^{19} + 270460 \, x^{15} + 59892 \, x^{11} - 6078 \, x^{7} + 174 \, x^{3} - \sqrt{2} {\left(1409088 \, x^{47} - 14855264 \, x^{43} + 41389664 \, x^{39} - 50887632 \, x^{35} + 31535520 \, x^{31} - 10006512 \, x^{27} + 1266608 \, x^{23} + 218392 \, x^{19} - 129068 \, x^{15} + 64162 \, x^{11} - 5106 \, x^{7} + 135 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{3}{4}} + 6588344 \, \sqrt{2} {\left(121248 \, x^{48} - 664768 \, x^{44} + 1475824 \, x^{40} - 1696656 \, x^{36} + 1056912 \, x^{32} - 324992 \, x^{28} + 28600 \, x^{24} + 648 \, x^{20} + 4450 \, x^{16} - 1316 \, x^{12} + 51 \, x^{8} - x^{4}\right)} + 2744 \, {\left(49 \, {\left(1050528 \, x^{46} - 5554048 \, x^{42} + 10575248 \, x^{38} - 9024896 \, x^{34} + 3514320 \, x^{30} - 922752 \, x^{26} + 492648 \, x^{22} - 123808 \, x^{18} - 9582 \, x^{14} + 2456 \, x^{10} - 115 \, x^{6} - \sqrt{2} {\left(253856 \, x^{46} - 2382752 \, x^{42} + 6088688 \, x^{38} - 6303936 \, x^{34} + 2421584 \, x^{30} + 103568 \, x^{26} - 189032 \, x^{22} + 19920 \, x^{18} - 13806 \, x^{14} + 1990 \, x^{10} - 85 \, x^{6}\right)}\right)} \sqrt{x^{4} - 1} - {\left(1653472 \, x^{48} - 7958880 \, x^{44} + 16108208 \, x^{40} - 15601200 \, x^{36} + 4931952 \, x^{32} + 2562384 \, x^{28} - 2103240 \, x^{24} + 613640 \, x^{20} - 188682 \, x^{16} - 15742 \, x^{12} - 2105 \, x^{8} + 193 \, x^{4} + 2 \, \sqrt{2} {\left(698112 \, x^{48} - 3230800 \, x^{44} + 5655024 \, x^{40} - 4718720 \, x^{36} + 1737824 \, x^{32} + 362312 \, x^{28} - 831032 \, x^{24} + 329272 \, x^{20} - 12856 \, x^{16} + 10347 \, x^{12} + 583 \, x^{8} - 66 \, x^{4}\right)}\right)} \sqrt{61 \, \sqrt{2} + 71}\right)} \sqrt{61 \, \sqrt{2} + 71} + 38416 \, {\left(49 \, {\left(196960 \, x^{45} - 980384 \, x^{41} + 1882624 \, x^{37} - 1780608 \, x^{33} + 906480 \, x^{29} - 283216 \, x^{25} + 60128 \, x^{21} - 1600 \, x^{17} - 514 \, x^{13} + 126 \, x^{9} + \sqrt{2} {\left(17824 \, x^{45} + 23312 \, x^{41} - 19456 \, x^{37} - 259008 \, x^{33} + 409488 \, x^{29} - 189944 \, x^{25} + 20128 \, x^{21} - 2752 \, x^{17} + 498 \, x^{13} - 91 \, x^{9}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + {\left(826400 \, x^{47} - 6554208 \, x^{43} + 16724800 \, x^{39} - 19063552 \, x^{35} + 10249296 \, x^{31} - 2596336 \, x^{27} + 594304 \, x^{23} - 155296 \, x^{19} - 29478 \, x^{15} + 3922 \, x^{11} + 148 \, x^{7} - \sqrt{2} {\left(853312 \, x^{47} - 4698352 \, x^{43} + 9017776 \, x^{39} - 6885696 \, x^{35} + 842336 \, x^{31} + 1198920 \, x^{27} - 273064 \, x^{23} - 33248 \, x^{19} - 24988 \, x^{15} + 2901 \, x^{11} + 103 \, x^{7}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} \sqrt{61 \, \sqrt{2} + 71}\right)} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{1}{4}} + 823543}{823543 \, {\left(1783744 \, x^{48} - 12228608 \, x^{44} + 29945024 \, x^{40} - 33926144 \, x^{36} + 17890064 \, x^{32} - 3611648 \, x^{28} + 433824 \, x^{24} - 284160 \, x^{20} - 21180 \, x^{16} + 20608 \, x^{12} - 1588 \, x^{8} + 64 \, x^{4} - 1\right)}}\right) + 5 \, x^{5} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{1}{4}} \log\left(\frac{686 \, {\left(1372 \, {\left(\sqrt{2} x^{6} + x^{2}\right)} \sqrt{x^{4} - 1} - 7 \, {\left(2 \, x^{8} - 5 \, \sqrt{2} {\left(2 \, x^{8} - 1\right)} - 1\right)} \sqrt{61 \, \sqrt{2} + 71} + 2 \, {\left({\left(26 \, x^{5} - \sqrt{2} {\left(32 \, x^{5} - 13 \, x\right)} - 32 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{61 \, \sqrt{2} + 71} - 49 \, {\left(6 \, x^{7} - 2 \, x^{3} - \sqrt{2} {\left(2 \, x^{7} - 3 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{1}{4}}\right)}}{2 \, x^{8} - 1}\right) - 5 \, x^{5} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{1}{4}} \log\left(\frac{686 \, {\left(1372 \, {\left(\sqrt{2} x^{6} + x^{2}\right)} \sqrt{x^{4} - 1} - 7 \, {\left(2 \, x^{8} - 5 \, \sqrt{2} {\left(2 \, x^{8} - 1\right)} - 1\right)} \sqrt{61 \, \sqrt{2} + 71} - 2 \, {\left({\left(26 \, x^{5} - \sqrt{2} {\left(32 \, x^{5} - 13 \, x\right)} - 32 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{61 \, \sqrt{2} + 71} - 49 \, {\left(6 \, x^{7} - 2 \, x^{3} - \sqrt{2} {\left(2 \, x^{7} - 3 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{1}{4}}\right)}}{2 \, x^{8} - 1}\right) + 32 \, {\left(4 \, x^{4} + 1\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{160 \, x^{5}}"," ",0,"1/160*(20*sqrt(2)*x^5*(61*sqrt(2) - 71)^(1/4)*arctan(1/4802*(sqrt(2)*(784*x^8 - 784*x^4 + 2*(90*x^6 - 58*x^2 + sqrt(2)*(58*x^6 - 45*x^2))*sqrt(x^4 - 1)*sqrt(61*sqrt(2) - 71) + 49*sqrt(2)*(10*x^8 - 10*x^4 + 3) + 98)*sqrt(sqrt(61*sqrt(2) - 71)*(5*sqrt(2) + 1))*(61*sqrt(2) - 71)^(1/4) + 28*(49*(2*x^5 + sqrt(2)*(3*x^5 - x) - 3*x)*(x^4 - 1)^(3/4) + (58*x^7 - 45*x^3 + sqrt(2)*(45*x^7 - 29*x^3))*(x^4 - 1)^(1/4)*sqrt(61*sqrt(2) - 71))*(61*sqrt(2) - 71)^(1/4))/(2*x^8 - 1)) + 5*sqrt(2)*x^5*(61*sqrt(2) - 71)^(1/4)*log((686*(2*x^5 - sqrt(2)*x)*(x^4 - 1)^(3/4) + 14*(22*x^7 - 12*x^3 + sqrt(2)*(12*x^7 - 11*x^3))*(x^4 - 1)^(1/4)*sqrt(61*sqrt(2) - 71) + (98*(6*x^6 - 2*x^2 + sqrt(2)*(2*x^6 - 3*x^2))*sqrt(x^4 - 1) + (116*x^8 - 116*x^4 + sqrt(2)*(90*x^8 - 90*x^4 + 13) + 32)*sqrt(61*sqrt(2) - 71))*(61*sqrt(2) - 71)^(1/4))/(2*x^8 - 1)) - 5*sqrt(2)*x^5*(61*sqrt(2) - 71)^(1/4)*log((686*(2*x^5 - sqrt(2)*x)*(x^4 - 1)^(3/4) + 14*(22*x^7 - 12*x^3 + sqrt(2)*(12*x^7 - 11*x^3))*(x^4 - 1)^(1/4)*sqrt(61*sqrt(2) - 71) - (98*(6*x^6 - 2*x^2 + sqrt(2)*(2*x^6 - 3*x^2))*sqrt(x^4 - 1) + (116*x^8 - 116*x^4 + sqrt(2)*(90*x^8 - 90*x^4 + 13) + 32)*sqrt(61*sqrt(2) - 71))*(61*sqrt(2) - 71)^(1/4))/(2*x^8 - 1)) - 20*x^5*(61*sqrt(2) + 71)^(1/4)*arctan(-1/823543*(1070843080384*x^48 - 5913486747392*x^44 + 13489291746112*x^40 - 16041721625216*x^36 + 10177133566992*x^32 - 2984994192768*x^28 + 169531267808*x^24 + 263533760*x^20 + 41516449716*x^16 - 9342271792*x^12 + 1011310804*x^8 - 46118408*x^4 - 67228*(810688*x^46 - 3300704*x^42 + 5566048*x^38 - 4690832*x^34 + 1685088*x^30 - 100080*x^26 + 179824*x^22 - 109448*x^18 - 52228*x^14 + 12210*x^10 - 578*x^6 + 11*x^2 - sqrt(2)*(564640*x^46 - 5779968*x^42 + 16974192*x^38 - 21532576*x^34 + 12159632*x^30 - 2257344*x^26 + 37112*x^22 - 174448*x^18 + 3362*x^14 + 5680*x^10 - 293*x^6 + 6*x^2))*sqrt(x^4 - 1)*sqrt(61*sqrt(2) + 71) + sqrt(14)*(5488*(391136*x^45 - 2069248*x^41 + 3437184*x^37 - 1877760*x^33 - 154768*x^29 + 199680*x^25 + 65728*x^21 + 11968*x^17 - 3850*x^13 - 80*x^9 - sqrt(2)*(332800*x^45 - 2089936*x^41 + 4083712*x^37 - 3148160*x^33 + 816896*x^29 - 68232*x^25 + 68352*x^21 + 7312*x^17 - 2688*x^13 - 57*x^9))*(x^4 - 1)^(3/4)*sqrt(61*sqrt(2) + 71) - (98*(5163328*x^46 - 34277664*x^42 + 72312672*x^38 - 63645680*x^34 + 23071008*x^30 - 4224976*x^26 + 1737648*x^22 - 75000*x^18 - 93468*x^14 + 34214*x^10 - 2114*x^6 + 45*x^2 - sqrt(2)*(5769760*x^46 - 34301216*x^42 + 70731504*x^38 - 63826672*x^34 + 24244048*x^30 - 3234000*x^26 + 836088*x^22 - 238584*x^18 + 1002*x^14 + 19366*x^10 - 1309*x^6 + 29*x^2))*sqrt(x^4 - 1) - (68566464*x^48 - 584166592*x^44 + 1803246976*x^40 - 2593305760*x^36 + 1779401648*x^32 - 497618400*x^28 + 46058368*x^24 - 27645008*x^20 + 3558004*x^16 + 2170628*x^12 - 282040*x^8 + 16382*x^4 - 2*sqrt(2)*(34250656*x^48 - 258415904*x^44 + 740587408*x^40 - 1014652720*x^36 + 674825568*x^32 - 188789840*x^28 + 21702920*x^24 - 10965592*x^20 + 586570*x^16 + 979526*x^12 - 114699*x^8 + 6361*x^4 - 127) - 335)*sqrt(61*sqrt(2) + 71))*(61*sqrt(2) + 71)^(3/4) + 14*(196*(394240*x^45 - 2873408*x^41 + 6497632*x^37 - 6047616*x^33 + 2140416*x^29 - 144480*x^25 + 40048*x^21 + 3616*x^17 - 11552*x^13 + 1148*x^9 - 34*x^5 - sqrt(2)*(567840*x^45 - 3201312*x^41 + 6126160*x^37 - 4823936*x^33 + 1294864*x^29 - 59920*x^25 + 126152*x^21 - 24256*x^17 - 6310*x^13 + 742*x^9 - 23*x^5))*(x^4 - 1)^(3/4) + (10498496*x^47 - 52397824*x^43 + 73747104*x^39 - 17336960*x^35 - 25311648*x^31 + 8428160*x^27 + 492624*x^23 + 2002112*x^19 - 103924*x^15 - 24880*x^11 + 6882*x^7 - 264*x^3 - sqrt(2)*(4728064*x^47 - 26310880*x^43 + 33288576*x^39 + 7460272*x^35 - 30588800*x^31 + 9467600*x^27 + 1411776*x^23 + 453208*x^19 + 114832*x^15 - 29830*x^11 + 5304*x^7 - 193*x^3))*(x^4 - 1)^(1/4)*sqrt(61*sqrt(2) + 71))*sqrt(61*sqrt(2) + 71) - 2151296*(5248*x^47 - 28864*x^43 + 60400*x^39 - 62224*x^35 + 34296*x^31 - 10760*x^27 + 1940*x^23 - 12*x^19 - 14*x^15 - 10*x^11 + sqrt(2)*(2576*x^47 - 14368*x^43 + 34160*x^39 - 43048*x^35 + 29120*x^31 - 9444*x^27 + 1124*x^23 - 142*x^19 + 15*x^15 + 7*x^11))*(x^4 - 1)^(1/4) - 392*(4349632*x^48 - 39505760*x^44 + 109692576*x^40 - 129159296*x^36 + 59250016*x^32 + 1415120*x^28 - 5926256*x^24 + 53312*x^20 - 235396*x^16 + 69874*x^12 - 3822*x^8 + (2646688*x^46 - 15237728*x^42 + 28884656*x^38 - 21695616*x^34 + 4499664*x^30 + 798800*x^26 + 129144*x^22 + 13888*x^18 - 40254*x^14 + 642*x^10 + 103*x^6 - 2*sqrt(2)*(637936*x^46 - 4066368*x^42 + 8185104*x^38 - 6611040*x^34 + 1882712*x^30 - 208784*x^26 + 210552*x^22 - 17416*x^18 - 12925*x^14 + 184*x^10 + 37*x^6))*sqrt(x^4 - 1)*sqrt(61*sqrt(2) + 71) - 98*sqrt(2)*(46192*x^48 - 269184*x^44 + 638992*x^40 - 767552*x^36 + 483864*x^32 - 169440*x^28 + 54584*x^24 - 17328*x^20 - 565*x^16 + 464*x^12 - 27*x^8))*(61*sqrt(2) + 71)^(1/4))*sqrt((1372*(sqrt(2)*x^6 + x^2)*sqrt(x^4 - 1) - 7*(2*x^8 - 5*sqrt(2)*(2*x^8 - 1) - 1)*sqrt(61*sqrt(2) + 71) + 2*((26*x^5 - sqrt(2)*(32*x^5 - 13*x) - 32*x)*(x^4 - 1)^(3/4)*sqrt(61*sqrt(2) + 71) - 49*(6*x^7 - 2*x^3 - sqrt(2)*(2*x^7 - 3*x^3))*(x^4 - 1)^(1/4))*(61*sqrt(2) + 71)^(1/4))/(2*x^8 - 1)) + 98*((84770240*x^45 - 506339456*x^41 + 1062618144*x^37 - 979117888*x^33 + 374087776*x^29 - 44624960*x^25 + 13075472*x^21 - 2727456*x^17 - 1971636*x^13 + 249112*x^9 - 19046*x^5 - sqrt(2)*(38490112*x^45 - 271881568*x^41 + 620203136*x^37 - 595757904*x^33 + 224354048*x^29 - 19751280*x^25 + 9549504*x^21 - 4580904*x^17 - 744768*x^13 + 131986*x^9 - 11832*x^5 + 335*x) + 508*x)*(x^4 - 1)^(3/4)*sqrt(61*sqrt(2) + 71) - 49*(10656960*x^47 - 62174656*x^43 + 133850272*x^39 - 134582176*x^35 + 63040480*x^31 - 11629920*x^27 + 2046800*x^23 - 1532240*x^19 + 270460*x^15 + 59892*x^11 - 6078*x^7 + 174*x^3 - sqrt(2)*(1409088*x^47 - 14855264*x^43 + 41389664*x^39 - 50887632*x^35 + 31535520*x^31 - 10006512*x^27 + 1266608*x^23 + 218392*x^19 - 129068*x^15 + 64162*x^11 - 5106*x^7 + 135*x^3))*(x^4 - 1)^(1/4))*(61*sqrt(2) + 71)^(3/4) + 6588344*sqrt(2)*(121248*x^48 - 664768*x^44 + 1475824*x^40 - 1696656*x^36 + 1056912*x^32 - 324992*x^28 + 28600*x^24 + 648*x^20 + 4450*x^16 - 1316*x^12 + 51*x^8 - x^4) + 2744*(49*(1050528*x^46 - 5554048*x^42 + 10575248*x^38 - 9024896*x^34 + 3514320*x^30 - 922752*x^26 + 492648*x^22 - 123808*x^18 - 9582*x^14 + 2456*x^10 - 115*x^6 - sqrt(2)*(253856*x^46 - 2382752*x^42 + 6088688*x^38 - 6303936*x^34 + 2421584*x^30 + 103568*x^26 - 189032*x^22 + 19920*x^18 - 13806*x^14 + 1990*x^10 - 85*x^6))*sqrt(x^4 - 1) - (1653472*x^48 - 7958880*x^44 + 16108208*x^40 - 15601200*x^36 + 4931952*x^32 + 2562384*x^28 - 2103240*x^24 + 613640*x^20 - 188682*x^16 - 15742*x^12 - 2105*x^8 + 193*x^4 + 2*sqrt(2)*(698112*x^48 - 3230800*x^44 + 5655024*x^40 - 4718720*x^36 + 1737824*x^32 + 362312*x^28 - 831032*x^24 + 329272*x^20 - 12856*x^16 + 10347*x^12 + 583*x^8 - 66*x^4))*sqrt(61*sqrt(2) + 71))*sqrt(61*sqrt(2) + 71) - 38416*(49*(196960*x^45 - 980384*x^41 + 1882624*x^37 - 1780608*x^33 + 906480*x^29 - 283216*x^25 + 60128*x^21 - 1600*x^17 - 514*x^13 + 126*x^9 + sqrt(2)*(17824*x^45 + 23312*x^41 - 19456*x^37 - 259008*x^33 + 409488*x^29 - 189944*x^25 + 20128*x^21 - 2752*x^17 + 498*x^13 - 91*x^9))*(x^4 - 1)^(3/4) + (826400*x^47 - 6554208*x^43 + 16724800*x^39 - 19063552*x^35 + 10249296*x^31 - 2596336*x^27 + 594304*x^23 - 155296*x^19 - 29478*x^15 + 3922*x^11 + 148*x^7 - sqrt(2)*(853312*x^47 - 4698352*x^43 + 9017776*x^39 - 6885696*x^35 + 842336*x^31 + 1198920*x^27 - 273064*x^23 - 33248*x^19 - 24988*x^15 + 2901*x^11 + 103*x^7))*(x^4 - 1)^(1/4)*sqrt(61*sqrt(2) + 71))*(61*sqrt(2) + 71)^(1/4) + 823543)/(1783744*x^48 - 12228608*x^44 + 29945024*x^40 - 33926144*x^36 + 17890064*x^32 - 3611648*x^28 + 433824*x^24 - 284160*x^20 - 21180*x^16 + 20608*x^12 - 1588*x^8 + 64*x^4 - 1)) - 20*x^5*(61*sqrt(2) + 71)^(1/4)*arctan(1/823543*(1070843080384*x^48 - 5913486747392*x^44 + 13489291746112*x^40 - 16041721625216*x^36 + 10177133566992*x^32 - 2984994192768*x^28 + 169531267808*x^24 + 263533760*x^20 + 41516449716*x^16 - 9342271792*x^12 + 1011310804*x^8 - 46118408*x^4 - 67228*(810688*x^46 - 3300704*x^42 + 5566048*x^38 - 4690832*x^34 + 1685088*x^30 - 100080*x^26 + 179824*x^22 - 109448*x^18 - 52228*x^14 + 12210*x^10 - 578*x^6 + 11*x^2 - sqrt(2)*(564640*x^46 - 5779968*x^42 + 16974192*x^38 - 21532576*x^34 + 12159632*x^30 - 2257344*x^26 + 37112*x^22 - 174448*x^18 + 3362*x^14 + 5680*x^10 - 293*x^6 + 6*x^2))*sqrt(x^4 - 1)*sqrt(61*sqrt(2) + 71) + sqrt(14)*(5488*(391136*x^45 - 2069248*x^41 + 3437184*x^37 - 1877760*x^33 - 154768*x^29 + 199680*x^25 + 65728*x^21 + 11968*x^17 - 3850*x^13 - 80*x^9 - sqrt(2)*(332800*x^45 - 2089936*x^41 + 4083712*x^37 - 3148160*x^33 + 816896*x^29 - 68232*x^25 + 68352*x^21 + 7312*x^17 - 2688*x^13 - 57*x^9))*(x^4 - 1)^(3/4)*sqrt(61*sqrt(2) + 71) + (98*(5163328*x^46 - 34277664*x^42 + 72312672*x^38 - 63645680*x^34 + 23071008*x^30 - 4224976*x^26 + 1737648*x^22 - 75000*x^18 - 93468*x^14 + 34214*x^10 - 2114*x^6 + 45*x^2 - sqrt(2)*(5769760*x^46 - 34301216*x^42 + 70731504*x^38 - 63826672*x^34 + 24244048*x^30 - 3234000*x^26 + 836088*x^22 - 238584*x^18 + 1002*x^14 + 19366*x^10 - 1309*x^6 + 29*x^2))*sqrt(x^4 - 1) - (68566464*x^48 - 584166592*x^44 + 1803246976*x^40 - 2593305760*x^36 + 1779401648*x^32 - 497618400*x^28 + 46058368*x^24 - 27645008*x^20 + 3558004*x^16 + 2170628*x^12 - 282040*x^8 + 16382*x^4 - 2*sqrt(2)*(34250656*x^48 - 258415904*x^44 + 740587408*x^40 - 1014652720*x^36 + 674825568*x^32 - 188789840*x^28 + 21702920*x^24 - 10965592*x^20 + 586570*x^16 + 979526*x^12 - 114699*x^8 + 6361*x^4 - 127) - 335)*sqrt(61*sqrt(2) + 71))*(61*sqrt(2) + 71)^(3/4) + 14*(196*(394240*x^45 - 2873408*x^41 + 6497632*x^37 - 6047616*x^33 + 2140416*x^29 - 144480*x^25 + 40048*x^21 + 3616*x^17 - 11552*x^13 + 1148*x^9 - 34*x^5 - sqrt(2)*(567840*x^45 - 3201312*x^41 + 6126160*x^37 - 4823936*x^33 + 1294864*x^29 - 59920*x^25 + 126152*x^21 - 24256*x^17 - 6310*x^13 + 742*x^9 - 23*x^5))*(x^4 - 1)^(3/4) + (10498496*x^47 - 52397824*x^43 + 73747104*x^39 - 17336960*x^35 - 25311648*x^31 + 8428160*x^27 + 492624*x^23 + 2002112*x^19 - 103924*x^15 - 24880*x^11 + 6882*x^7 - 264*x^3 - sqrt(2)*(4728064*x^47 - 26310880*x^43 + 33288576*x^39 + 7460272*x^35 - 30588800*x^31 + 9467600*x^27 + 1411776*x^23 + 453208*x^19 + 114832*x^15 - 29830*x^11 + 5304*x^7 - 193*x^3))*(x^4 - 1)^(1/4)*sqrt(61*sqrt(2) + 71))*sqrt(61*sqrt(2) + 71) - 2151296*(5248*x^47 - 28864*x^43 + 60400*x^39 - 62224*x^35 + 34296*x^31 - 10760*x^27 + 1940*x^23 - 12*x^19 - 14*x^15 - 10*x^11 + sqrt(2)*(2576*x^47 - 14368*x^43 + 34160*x^39 - 43048*x^35 + 29120*x^31 - 9444*x^27 + 1124*x^23 - 142*x^19 + 15*x^15 + 7*x^11))*(x^4 - 1)^(1/4) + 392*(4349632*x^48 - 39505760*x^44 + 109692576*x^40 - 129159296*x^36 + 59250016*x^32 + 1415120*x^28 - 5926256*x^24 + 53312*x^20 - 235396*x^16 + 69874*x^12 - 3822*x^8 + (2646688*x^46 - 15237728*x^42 + 28884656*x^38 - 21695616*x^34 + 4499664*x^30 + 798800*x^26 + 129144*x^22 + 13888*x^18 - 40254*x^14 + 642*x^10 + 103*x^6 - 2*sqrt(2)*(637936*x^46 - 4066368*x^42 + 8185104*x^38 - 6611040*x^34 + 1882712*x^30 - 208784*x^26 + 210552*x^22 - 17416*x^18 - 12925*x^14 + 184*x^10 + 37*x^6))*sqrt(x^4 - 1)*sqrt(61*sqrt(2) + 71) - 98*sqrt(2)*(46192*x^48 - 269184*x^44 + 638992*x^40 - 767552*x^36 + 483864*x^32 - 169440*x^28 + 54584*x^24 - 17328*x^20 - 565*x^16 + 464*x^12 - 27*x^8))*(61*sqrt(2) + 71)^(1/4))*sqrt((1372*(sqrt(2)*x^6 + x^2)*sqrt(x^4 - 1) - 7*(2*x^8 - 5*sqrt(2)*(2*x^8 - 1) - 1)*sqrt(61*sqrt(2) + 71) - 2*((26*x^5 - sqrt(2)*(32*x^5 - 13*x) - 32*x)*(x^4 - 1)^(3/4)*sqrt(61*sqrt(2) + 71) - 49*(6*x^7 - 2*x^3 - sqrt(2)*(2*x^7 - 3*x^3))*(x^4 - 1)^(1/4))*(61*sqrt(2) + 71)^(1/4))/(2*x^8 - 1)) - 98*((84770240*x^45 - 506339456*x^41 + 1062618144*x^37 - 979117888*x^33 + 374087776*x^29 - 44624960*x^25 + 13075472*x^21 - 2727456*x^17 - 1971636*x^13 + 249112*x^9 - 19046*x^5 - sqrt(2)*(38490112*x^45 - 271881568*x^41 + 620203136*x^37 - 595757904*x^33 + 224354048*x^29 - 19751280*x^25 + 9549504*x^21 - 4580904*x^17 - 744768*x^13 + 131986*x^9 - 11832*x^5 + 335*x) + 508*x)*(x^4 - 1)^(3/4)*sqrt(61*sqrt(2) + 71) - 49*(10656960*x^47 - 62174656*x^43 + 133850272*x^39 - 134582176*x^35 + 63040480*x^31 - 11629920*x^27 + 2046800*x^23 - 1532240*x^19 + 270460*x^15 + 59892*x^11 - 6078*x^7 + 174*x^3 - sqrt(2)*(1409088*x^47 - 14855264*x^43 + 41389664*x^39 - 50887632*x^35 + 31535520*x^31 - 10006512*x^27 + 1266608*x^23 + 218392*x^19 - 129068*x^15 + 64162*x^11 - 5106*x^7 + 135*x^3))*(x^4 - 1)^(1/4))*(61*sqrt(2) + 71)^(3/4) + 6588344*sqrt(2)*(121248*x^48 - 664768*x^44 + 1475824*x^40 - 1696656*x^36 + 1056912*x^32 - 324992*x^28 + 28600*x^24 + 648*x^20 + 4450*x^16 - 1316*x^12 + 51*x^8 - x^4) + 2744*(49*(1050528*x^46 - 5554048*x^42 + 10575248*x^38 - 9024896*x^34 + 3514320*x^30 - 922752*x^26 + 492648*x^22 - 123808*x^18 - 9582*x^14 + 2456*x^10 - 115*x^6 - sqrt(2)*(253856*x^46 - 2382752*x^42 + 6088688*x^38 - 6303936*x^34 + 2421584*x^30 + 103568*x^26 - 189032*x^22 + 19920*x^18 - 13806*x^14 + 1990*x^10 - 85*x^6))*sqrt(x^4 - 1) - (1653472*x^48 - 7958880*x^44 + 16108208*x^40 - 15601200*x^36 + 4931952*x^32 + 2562384*x^28 - 2103240*x^24 + 613640*x^20 - 188682*x^16 - 15742*x^12 - 2105*x^8 + 193*x^4 + 2*sqrt(2)*(698112*x^48 - 3230800*x^44 + 5655024*x^40 - 4718720*x^36 + 1737824*x^32 + 362312*x^28 - 831032*x^24 + 329272*x^20 - 12856*x^16 + 10347*x^12 + 583*x^8 - 66*x^4))*sqrt(61*sqrt(2) + 71))*sqrt(61*sqrt(2) + 71) + 38416*(49*(196960*x^45 - 980384*x^41 + 1882624*x^37 - 1780608*x^33 + 906480*x^29 - 283216*x^25 + 60128*x^21 - 1600*x^17 - 514*x^13 + 126*x^9 + sqrt(2)*(17824*x^45 + 23312*x^41 - 19456*x^37 - 259008*x^33 + 409488*x^29 - 189944*x^25 + 20128*x^21 - 2752*x^17 + 498*x^13 - 91*x^9))*(x^4 - 1)^(3/4) + (826400*x^47 - 6554208*x^43 + 16724800*x^39 - 19063552*x^35 + 10249296*x^31 - 2596336*x^27 + 594304*x^23 - 155296*x^19 - 29478*x^15 + 3922*x^11 + 148*x^7 - sqrt(2)*(853312*x^47 - 4698352*x^43 + 9017776*x^39 - 6885696*x^35 + 842336*x^31 + 1198920*x^27 - 273064*x^23 - 33248*x^19 - 24988*x^15 + 2901*x^11 + 103*x^7))*(x^4 - 1)^(1/4)*sqrt(61*sqrt(2) + 71))*(61*sqrt(2) + 71)^(1/4) + 823543)/(1783744*x^48 - 12228608*x^44 + 29945024*x^40 - 33926144*x^36 + 17890064*x^32 - 3611648*x^28 + 433824*x^24 - 284160*x^20 - 21180*x^16 + 20608*x^12 - 1588*x^8 + 64*x^4 - 1)) + 5*x^5*(61*sqrt(2) + 71)^(1/4)*log(686*(1372*(sqrt(2)*x^6 + x^2)*sqrt(x^4 - 1) - 7*(2*x^8 - 5*sqrt(2)*(2*x^8 - 1) - 1)*sqrt(61*sqrt(2) + 71) + 2*((26*x^5 - sqrt(2)*(32*x^5 - 13*x) - 32*x)*(x^4 - 1)^(3/4)*sqrt(61*sqrt(2) + 71) - 49*(6*x^7 - 2*x^3 - sqrt(2)*(2*x^7 - 3*x^3))*(x^4 - 1)^(1/4))*(61*sqrt(2) + 71)^(1/4))/(2*x^8 - 1)) - 5*x^5*(61*sqrt(2) + 71)^(1/4)*log(686*(1372*(sqrt(2)*x^6 + x^2)*sqrt(x^4 - 1) - 7*(2*x^8 - 5*sqrt(2)*(2*x^8 - 1) - 1)*sqrt(61*sqrt(2) + 71) - 2*((26*x^5 - sqrt(2)*(32*x^5 - 13*x) - 32*x)*(x^4 - 1)^(3/4)*sqrt(61*sqrt(2) + 71) - 49*(6*x^7 - 2*x^3 - sqrt(2)*(2*x^7 - 3*x^3))*(x^4 - 1)^(1/4))*(61*sqrt(2) + 71)^(1/4))/(2*x^8 - 1)) + 32*(4*x^4 + 1)*(x^4 - 1)^(1/4))/x^5","B",0
1583,1,5743,0,16.609473," ","integrate((x^4-1)^(1/4)*(x^8+x^4+1)/x^6/(2*x^8-1),x, algorithm=""fricas"")","\frac{20 \, \sqrt{2} x^{5} {\left(61 \, \sqrt{2} - 71\right)}^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(784 \, x^{8} - 784 \, x^{4} + 2 \, {\left(90 \, x^{6} - 58 \, x^{2} + \sqrt{2} {\left(58 \, x^{6} - 45 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} \sqrt{61 \, \sqrt{2} - 71} + 49 \, \sqrt{2} {\left(10 \, x^{8} - 10 \, x^{4} + 3\right)} + 98\right)} \sqrt{\sqrt{61 \, \sqrt{2} - 71} {\left(5 \, \sqrt{2} + 1\right)}} {\left(61 \, \sqrt{2} - 71\right)}^{\frac{1}{4}} + 28 \, {\left(49 \, {\left(2 \, x^{5} + \sqrt{2} {\left(3 \, x^{5} - x\right)} - 3 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + {\left(58 \, x^{7} - 45 \, x^{3} + \sqrt{2} {\left(45 \, x^{7} - 29 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} \sqrt{61 \, \sqrt{2} - 71}\right)} {\left(61 \, \sqrt{2} - 71\right)}^{\frac{1}{4}}}{4802 \, {\left(2 \, x^{8} - 1\right)}}\right) + 5 \, \sqrt{2} x^{5} {\left(61 \, \sqrt{2} - 71\right)}^{\frac{1}{4}} \log\left(\frac{686 \, {\left(2 \, x^{5} - \sqrt{2} x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + 14 \, {\left(22 \, x^{7} - 12 \, x^{3} + \sqrt{2} {\left(12 \, x^{7} - 11 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} \sqrt{61 \, \sqrt{2} - 71} + {\left(98 \, {\left(6 \, x^{6} - 2 \, x^{2} + \sqrt{2} {\left(2 \, x^{6} - 3 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} + {\left(116 \, x^{8} - 116 \, x^{4} + \sqrt{2} {\left(90 \, x^{8} - 90 \, x^{4} + 13\right)} + 32\right)} \sqrt{61 \, \sqrt{2} - 71}\right)} {\left(61 \, \sqrt{2} - 71\right)}^{\frac{1}{4}}}{2 \, x^{8} - 1}\right) - 5 \, \sqrt{2} x^{5} {\left(61 \, \sqrt{2} - 71\right)}^{\frac{1}{4}} \log\left(\frac{686 \, {\left(2 \, x^{5} - \sqrt{2} x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + 14 \, {\left(22 \, x^{7} - 12 \, x^{3} + \sqrt{2} {\left(12 \, x^{7} - 11 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} \sqrt{61 \, \sqrt{2} - 71} - {\left(98 \, {\left(6 \, x^{6} - 2 \, x^{2} + \sqrt{2} {\left(2 \, x^{6} - 3 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} + {\left(116 \, x^{8} - 116 \, x^{4} + \sqrt{2} {\left(90 \, x^{8} - 90 \, x^{4} + 13\right)} + 32\right)} \sqrt{61 \, \sqrt{2} - 71}\right)} {\left(61 \, \sqrt{2} - 71\right)}^{\frac{1}{4}}}{2 \, x^{8} - 1}\right) - 20 \, x^{5} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{1}{4}} \arctan\left(-\frac{1070843080384 \, x^{48} - 5913486747392 \, x^{44} + 13489291746112 \, x^{40} - 16041721625216 \, x^{36} + 10177133566992 \, x^{32} - 2984994192768 \, x^{28} + 169531267808 \, x^{24} + 263533760 \, x^{20} + 41516449716 \, x^{16} - 9342271792 \, x^{12} + 1011310804 \, x^{8} - 46118408 \, x^{4} - 67228 \, {\left(810688 \, x^{46} - 3300704 \, x^{42} + 5566048 \, x^{38} - 4690832 \, x^{34} + 1685088 \, x^{30} - 100080 \, x^{26} + 179824 \, x^{22} - 109448 \, x^{18} - 52228 \, x^{14} + 12210 \, x^{10} - 578 \, x^{6} + 11 \, x^{2} - \sqrt{2} {\left(564640 \, x^{46} - 5779968 \, x^{42} + 16974192 \, x^{38} - 21532576 \, x^{34} + 12159632 \, x^{30} - 2257344 \, x^{26} + 37112 \, x^{22} - 174448 \, x^{18} + 3362 \, x^{14} + 5680 \, x^{10} - 293 \, x^{6} + 6 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} \sqrt{61 \, \sqrt{2} + 71} + \sqrt{14} {\left(5488 \, {\left(391136 \, x^{45} - 2069248 \, x^{41} + 3437184 \, x^{37} - 1877760 \, x^{33} - 154768 \, x^{29} + 199680 \, x^{25} + 65728 \, x^{21} + 11968 \, x^{17} - 3850 \, x^{13} - 80 \, x^{9} - \sqrt{2} {\left(332800 \, x^{45} - 2089936 \, x^{41} + 4083712 \, x^{37} - 3148160 \, x^{33} + 816896 \, x^{29} - 68232 \, x^{25} + 68352 \, x^{21} + 7312 \, x^{17} - 2688 \, x^{13} - 57 \, x^{9}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{61 \, \sqrt{2} + 71} - {\left(98 \, {\left(5163328 \, x^{46} - 34277664 \, x^{42} + 72312672 \, x^{38} - 63645680 \, x^{34} + 23071008 \, x^{30} - 4224976 \, x^{26} + 1737648 \, x^{22} - 75000 \, x^{18} - 93468 \, x^{14} + 34214 \, x^{10} - 2114 \, x^{6} + 45 \, x^{2} - \sqrt{2} {\left(5769760 \, x^{46} - 34301216 \, x^{42} + 70731504 \, x^{38} - 63826672 \, x^{34} + 24244048 \, x^{30} - 3234000 \, x^{26} + 836088 \, x^{22} - 238584 \, x^{18} + 1002 \, x^{14} + 19366 \, x^{10} - 1309 \, x^{6} + 29 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} - {\left(68566464 \, x^{48} - 584166592 \, x^{44} + 1803246976 \, x^{40} - 2593305760 \, x^{36} + 1779401648 \, x^{32} - 497618400 \, x^{28} + 46058368 \, x^{24} - 27645008 \, x^{20} + 3558004 \, x^{16} + 2170628 \, x^{12} - 282040 \, x^{8} + 16382 \, x^{4} - 2 \, \sqrt{2} {\left(34250656 \, x^{48} - 258415904 \, x^{44} + 740587408 \, x^{40} - 1014652720 \, x^{36} + 674825568 \, x^{32} - 188789840 \, x^{28} + 21702920 \, x^{24} - 10965592 \, x^{20} + 586570 \, x^{16} + 979526 \, x^{12} - 114699 \, x^{8} + 6361 \, x^{4} - 127\right)} - 335\right)} \sqrt{61 \, \sqrt{2} + 71}\right)} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{3}{4}} + 14 \, {\left(196 \, {\left(394240 \, x^{45} - 2873408 \, x^{41} + 6497632 \, x^{37} - 6047616 \, x^{33} + 2140416 \, x^{29} - 144480 \, x^{25} + 40048 \, x^{21} + 3616 \, x^{17} - 11552 \, x^{13} + 1148 \, x^{9} - 34 \, x^{5} - \sqrt{2} {\left(567840 \, x^{45} - 3201312 \, x^{41} + 6126160 \, x^{37} - 4823936 \, x^{33} + 1294864 \, x^{29} - 59920 \, x^{25} + 126152 \, x^{21} - 24256 \, x^{17} - 6310 \, x^{13} + 742 \, x^{9} - 23 \, x^{5}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + {\left(10498496 \, x^{47} - 52397824 \, x^{43} + 73747104 \, x^{39} - 17336960 \, x^{35} - 25311648 \, x^{31} + 8428160 \, x^{27} + 492624 \, x^{23} + 2002112 \, x^{19} - 103924 \, x^{15} - 24880 \, x^{11} + 6882 \, x^{7} - 264 \, x^{3} - \sqrt{2} {\left(4728064 \, x^{47} - 26310880 \, x^{43} + 33288576 \, x^{39} + 7460272 \, x^{35} - 30588800 \, x^{31} + 9467600 \, x^{27} + 1411776 \, x^{23} + 453208 \, x^{19} + 114832 \, x^{15} - 29830 \, x^{11} + 5304 \, x^{7} - 193 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} \sqrt{61 \, \sqrt{2} + 71}\right)} \sqrt{61 \, \sqrt{2} + 71} - 2151296 \, {\left(5248 \, x^{47} - 28864 \, x^{43} + 60400 \, x^{39} - 62224 \, x^{35} + 34296 \, x^{31} - 10760 \, x^{27} + 1940 \, x^{23} - 12 \, x^{19} - 14 \, x^{15} - 10 \, x^{11} + \sqrt{2} {\left(2576 \, x^{47} - 14368 \, x^{43} + 34160 \, x^{39} - 43048 \, x^{35} + 29120 \, x^{31} - 9444 \, x^{27} + 1124 \, x^{23} - 142 \, x^{19} + 15 \, x^{15} + 7 \, x^{11}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} - 392 \, {\left(4349632 \, x^{48} - 39505760 \, x^{44} + 109692576 \, x^{40} - 129159296 \, x^{36} + 59250016 \, x^{32} + 1415120 \, x^{28} - 5926256 \, x^{24} + 53312 \, x^{20} - 235396 \, x^{16} + 69874 \, x^{12} - 3822 \, x^{8} + {\left(2646688 \, x^{46} - 15237728 \, x^{42} + 28884656 \, x^{38} - 21695616 \, x^{34} + 4499664 \, x^{30} + 798800 \, x^{26} + 129144 \, x^{22} + 13888 \, x^{18} - 40254 \, x^{14} + 642 \, x^{10} + 103 \, x^{6} - 2 \, \sqrt{2} {\left(637936 \, x^{46} - 4066368 \, x^{42} + 8185104 \, x^{38} - 6611040 \, x^{34} + 1882712 \, x^{30} - 208784 \, x^{26} + 210552 \, x^{22} - 17416 \, x^{18} - 12925 \, x^{14} + 184 \, x^{10} + 37 \, x^{6}\right)}\right)} \sqrt{x^{4} - 1} \sqrt{61 \, \sqrt{2} + 71} - 98 \, \sqrt{2} {\left(46192 \, x^{48} - 269184 \, x^{44} + 638992 \, x^{40} - 767552 \, x^{36} + 483864 \, x^{32} - 169440 \, x^{28} + 54584 \, x^{24} - 17328 \, x^{20} - 565 \, x^{16} + 464 \, x^{12} - 27 \, x^{8}\right)}\right)} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{1372 \, {\left(\sqrt{2} x^{6} + x^{2}\right)} \sqrt{x^{4} - 1} - 7 \, {\left(2 \, x^{8} - 5 \, \sqrt{2} {\left(2 \, x^{8} - 1\right)} - 1\right)} \sqrt{61 \, \sqrt{2} + 71} + 2 \, {\left({\left(26 \, x^{5} - \sqrt{2} {\left(32 \, x^{5} - 13 \, x\right)} - 32 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{61 \, \sqrt{2} + 71} - 49 \, {\left(6 \, x^{7} - 2 \, x^{3} - \sqrt{2} {\left(2 \, x^{7} - 3 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{1}{4}}}{2 \, x^{8} - 1}} + 98 \, {\left({\left(84770240 \, x^{45} - 506339456 \, x^{41} + 1062618144 \, x^{37} - 979117888 \, x^{33} + 374087776 \, x^{29} - 44624960 \, x^{25} + 13075472 \, x^{21} - 2727456 \, x^{17} - 1971636 \, x^{13} + 249112 \, x^{9} - 19046 \, x^{5} - \sqrt{2} {\left(38490112 \, x^{45} - 271881568 \, x^{41} + 620203136 \, x^{37} - 595757904 \, x^{33} + 224354048 \, x^{29} - 19751280 \, x^{25} + 9549504 \, x^{21} - 4580904 \, x^{17} - 744768 \, x^{13} + 131986 \, x^{9} - 11832 \, x^{5} + 335 \, x\right)} + 508 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{61 \, \sqrt{2} + 71} - 49 \, {\left(10656960 \, x^{47} - 62174656 \, x^{43} + 133850272 \, x^{39} - 134582176 \, x^{35} + 63040480 \, x^{31} - 11629920 \, x^{27} + 2046800 \, x^{23} - 1532240 \, x^{19} + 270460 \, x^{15} + 59892 \, x^{11} - 6078 \, x^{7} + 174 \, x^{3} - \sqrt{2} {\left(1409088 \, x^{47} - 14855264 \, x^{43} + 41389664 \, x^{39} - 50887632 \, x^{35} + 31535520 \, x^{31} - 10006512 \, x^{27} + 1266608 \, x^{23} + 218392 \, x^{19} - 129068 \, x^{15} + 64162 \, x^{11} - 5106 \, x^{7} + 135 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{3}{4}} + 6588344 \, \sqrt{2} {\left(121248 \, x^{48} - 664768 \, x^{44} + 1475824 \, x^{40} - 1696656 \, x^{36} + 1056912 \, x^{32} - 324992 \, x^{28} + 28600 \, x^{24} + 648 \, x^{20} + 4450 \, x^{16} - 1316 \, x^{12} + 51 \, x^{8} - x^{4}\right)} + 2744 \, {\left(49 \, {\left(1050528 \, x^{46} - 5554048 \, x^{42} + 10575248 \, x^{38} - 9024896 \, x^{34} + 3514320 \, x^{30} - 922752 \, x^{26} + 492648 \, x^{22} - 123808 \, x^{18} - 9582 \, x^{14} + 2456 \, x^{10} - 115 \, x^{6} - \sqrt{2} {\left(253856 \, x^{46} - 2382752 \, x^{42} + 6088688 \, x^{38} - 6303936 \, x^{34} + 2421584 \, x^{30} + 103568 \, x^{26} - 189032 \, x^{22} + 19920 \, x^{18} - 13806 \, x^{14} + 1990 \, x^{10} - 85 \, x^{6}\right)}\right)} \sqrt{x^{4} - 1} - {\left(1653472 \, x^{48} - 7958880 \, x^{44} + 16108208 \, x^{40} - 15601200 \, x^{36} + 4931952 \, x^{32} + 2562384 \, x^{28} - 2103240 \, x^{24} + 613640 \, x^{20} - 188682 \, x^{16} - 15742 \, x^{12} - 2105 \, x^{8} + 193 \, x^{4} + 2 \, \sqrt{2} {\left(698112 \, x^{48} - 3230800 \, x^{44} + 5655024 \, x^{40} - 4718720 \, x^{36} + 1737824 \, x^{32} + 362312 \, x^{28} - 831032 \, x^{24} + 329272 \, x^{20} - 12856 \, x^{16} + 10347 \, x^{12} + 583 \, x^{8} - 66 \, x^{4}\right)}\right)} \sqrt{61 \, \sqrt{2} + 71}\right)} \sqrt{61 \, \sqrt{2} + 71} - 38416 \, {\left(49 \, {\left(196960 \, x^{45} - 980384 \, x^{41} + 1882624 \, x^{37} - 1780608 \, x^{33} + 906480 \, x^{29} - 283216 \, x^{25} + 60128 \, x^{21} - 1600 \, x^{17} - 514 \, x^{13} + 126 \, x^{9} + \sqrt{2} {\left(17824 \, x^{45} + 23312 \, x^{41} - 19456 \, x^{37} - 259008 \, x^{33} + 409488 \, x^{29} - 189944 \, x^{25} + 20128 \, x^{21} - 2752 \, x^{17} + 498 \, x^{13} - 91 \, x^{9}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + {\left(826400 \, x^{47} - 6554208 \, x^{43} + 16724800 \, x^{39} - 19063552 \, x^{35} + 10249296 \, x^{31} - 2596336 \, x^{27} + 594304 \, x^{23} - 155296 \, x^{19} - 29478 \, x^{15} + 3922 \, x^{11} + 148 \, x^{7} - \sqrt{2} {\left(853312 \, x^{47} - 4698352 \, x^{43} + 9017776 \, x^{39} - 6885696 \, x^{35} + 842336 \, x^{31} + 1198920 \, x^{27} - 273064 \, x^{23} - 33248 \, x^{19} - 24988 \, x^{15} + 2901 \, x^{11} + 103 \, x^{7}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} \sqrt{61 \, \sqrt{2} + 71}\right)} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{1}{4}} + 823543}{823543 \, {\left(1783744 \, x^{48} - 12228608 \, x^{44} + 29945024 \, x^{40} - 33926144 \, x^{36} + 17890064 \, x^{32} - 3611648 \, x^{28} + 433824 \, x^{24} - 284160 \, x^{20} - 21180 \, x^{16} + 20608 \, x^{12} - 1588 \, x^{8} + 64 \, x^{4} - 1\right)}}\right) - 20 \, x^{5} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{1}{4}} \arctan\left(\frac{1070843080384 \, x^{48} - 5913486747392 \, x^{44} + 13489291746112 \, x^{40} - 16041721625216 \, x^{36} + 10177133566992 \, x^{32} - 2984994192768 \, x^{28} + 169531267808 \, x^{24} + 263533760 \, x^{20} + 41516449716 \, x^{16} - 9342271792 \, x^{12} + 1011310804 \, x^{8} - 46118408 \, x^{4} - 67228 \, {\left(810688 \, x^{46} - 3300704 \, x^{42} + 5566048 \, x^{38} - 4690832 \, x^{34} + 1685088 \, x^{30} - 100080 \, x^{26} + 179824 \, x^{22} - 109448 \, x^{18} - 52228 \, x^{14} + 12210 \, x^{10} - 578 \, x^{6} + 11 \, x^{2} - \sqrt{2} {\left(564640 \, x^{46} - 5779968 \, x^{42} + 16974192 \, x^{38} - 21532576 \, x^{34} + 12159632 \, x^{30} - 2257344 \, x^{26} + 37112 \, x^{22} - 174448 \, x^{18} + 3362 \, x^{14} + 5680 \, x^{10} - 293 \, x^{6} + 6 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} \sqrt{61 \, \sqrt{2} + 71} + \sqrt{14} {\left(5488 \, {\left(391136 \, x^{45} - 2069248 \, x^{41} + 3437184 \, x^{37} - 1877760 \, x^{33} - 154768 \, x^{29} + 199680 \, x^{25} + 65728 \, x^{21} + 11968 \, x^{17} - 3850 \, x^{13} - 80 \, x^{9} - \sqrt{2} {\left(332800 \, x^{45} - 2089936 \, x^{41} + 4083712 \, x^{37} - 3148160 \, x^{33} + 816896 \, x^{29} - 68232 \, x^{25} + 68352 \, x^{21} + 7312 \, x^{17} - 2688 \, x^{13} - 57 \, x^{9}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{61 \, \sqrt{2} + 71} + {\left(98 \, {\left(5163328 \, x^{46} - 34277664 \, x^{42} + 72312672 \, x^{38} - 63645680 \, x^{34} + 23071008 \, x^{30} - 4224976 \, x^{26} + 1737648 \, x^{22} - 75000 \, x^{18} - 93468 \, x^{14} + 34214 \, x^{10} - 2114 \, x^{6} + 45 \, x^{2} - \sqrt{2} {\left(5769760 \, x^{46} - 34301216 \, x^{42} + 70731504 \, x^{38} - 63826672 \, x^{34} + 24244048 \, x^{30} - 3234000 \, x^{26} + 836088 \, x^{22} - 238584 \, x^{18} + 1002 \, x^{14} + 19366 \, x^{10} - 1309 \, x^{6} + 29 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} - {\left(68566464 \, x^{48} - 584166592 \, x^{44} + 1803246976 \, x^{40} - 2593305760 \, x^{36} + 1779401648 \, x^{32} - 497618400 \, x^{28} + 46058368 \, x^{24} - 27645008 \, x^{20} + 3558004 \, x^{16} + 2170628 \, x^{12} - 282040 \, x^{8} + 16382 \, x^{4} - 2 \, \sqrt{2} {\left(34250656 \, x^{48} - 258415904 \, x^{44} + 740587408 \, x^{40} - 1014652720 \, x^{36} + 674825568 \, x^{32} - 188789840 \, x^{28} + 21702920 \, x^{24} - 10965592 \, x^{20} + 586570 \, x^{16} + 979526 \, x^{12} - 114699 \, x^{8} + 6361 \, x^{4} - 127\right)} - 335\right)} \sqrt{61 \, \sqrt{2} + 71}\right)} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{3}{4}} + 14 \, {\left(196 \, {\left(394240 \, x^{45} - 2873408 \, x^{41} + 6497632 \, x^{37} - 6047616 \, x^{33} + 2140416 \, x^{29} - 144480 \, x^{25} + 40048 \, x^{21} + 3616 \, x^{17} - 11552 \, x^{13} + 1148 \, x^{9} - 34 \, x^{5} - \sqrt{2} {\left(567840 \, x^{45} - 3201312 \, x^{41} + 6126160 \, x^{37} - 4823936 \, x^{33} + 1294864 \, x^{29} - 59920 \, x^{25} + 126152 \, x^{21} - 24256 \, x^{17} - 6310 \, x^{13} + 742 \, x^{9} - 23 \, x^{5}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + {\left(10498496 \, x^{47} - 52397824 \, x^{43} + 73747104 \, x^{39} - 17336960 \, x^{35} - 25311648 \, x^{31} + 8428160 \, x^{27} + 492624 \, x^{23} + 2002112 \, x^{19} - 103924 \, x^{15} - 24880 \, x^{11} + 6882 \, x^{7} - 264 \, x^{3} - \sqrt{2} {\left(4728064 \, x^{47} - 26310880 \, x^{43} + 33288576 \, x^{39} + 7460272 \, x^{35} - 30588800 \, x^{31} + 9467600 \, x^{27} + 1411776 \, x^{23} + 453208 \, x^{19} + 114832 \, x^{15} - 29830 \, x^{11} + 5304 \, x^{7} - 193 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} \sqrt{61 \, \sqrt{2} + 71}\right)} \sqrt{61 \, \sqrt{2} + 71} - 2151296 \, {\left(5248 \, x^{47} - 28864 \, x^{43} + 60400 \, x^{39} - 62224 \, x^{35} + 34296 \, x^{31} - 10760 \, x^{27} + 1940 \, x^{23} - 12 \, x^{19} - 14 \, x^{15} - 10 \, x^{11} + \sqrt{2} {\left(2576 \, x^{47} - 14368 \, x^{43} + 34160 \, x^{39} - 43048 \, x^{35} + 29120 \, x^{31} - 9444 \, x^{27} + 1124 \, x^{23} - 142 \, x^{19} + 15 \, x^{15} + 7 \, x^{11}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + 392 \, {\left(4349632 \, x^{48} - 39505760 \, x^{44} + 109692576 \, x^{40} - 129159296 \, x^{36} + 59250016 \, x^{32} + 1415120 \, x^{28} - 5926256 \, x^{24} + 53312 \, x^{20} - 235396 \, x^{16} + 69874 \, x^{12} - 3822 \, x^{8} + {\left(2646688 \, x^{46} - 15237728 \, x^{42} + 28884656 \, x^{38} - 21695616 \, x^{34} + 4499664 \, x^{30} + 798800 \, x^{26} + 129144 \, x^{22} + 13888 \, x^{18} - 40254 \, x^{14} + 642 \, x^{10} + 103 \, x^{6} - 2 \, \sqrt{2} {\left(637936 \, x^{46} - 4066368 \, x^{42} + 8185104 \, x^{38} - 6611040 \, x^{34} + 1882712 \, x^{30} - 208784 \, x^{26} + 210552 \, x^{22} - 17416 \, x^{18} - 12925 \, x^{14} + 184 \, x^{10} + 37 \, x^{6}\right)}\right)} \sqrt{x^{4} - 1} \sqrt{61 \, \sqrt{2} + 71} - 98 \, \sqrt{2} {\left(46192 \, x^{48} - 269184 \, x^{44} + 638992 \, x^{40} - 767552 \, x^{36} + 483864 \, x^{32} - 169440 \, x^{28} + 54584 \, x^{24} - 17328 \, x^{20} - 565 \, x^{16} + 464 \, x^{12} - 27 \, x^{8}\right)}\right)} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{1372 \, {\left(\sqrt{2} x^{6} + x^{2}\right)} \sqrt{x^{4} - 1} - 7 \, {\left(2 \, x^{8} - 5 \, \sqrt{2} {\left(2 \, x^{8} - 1\right)} - 1\right)} \sqrt{61 \, \sqrt{2} + 71} - 2 \, {\left({\left(26 \, x^{5} - \sqrt{2} {\left(32 \, x^{5} - 13 \, x\right)} - 32 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{61 \, \sqrt{2} + 71} - 49 \, {\left(6 \, x^{7} - 2 \, x^{3} - \sqrt{2} {\left(2 \, x^{7} - 3 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{1}{4}}}{2 \, x^{8} - 1}} - 98 \, {\left({\left(84770240 \, x^{45} - 506339456 \, x^{41} + 1062618144 \, x^{37} - 979117888 \, x^{33} + 374087776 \, x^{29} - 44624960 \, x^{25} + 13075472 \, x^{21} - 2727456 \, x^{17} - 1971636 \, x^{13} + 249112 \, x^{9} - 19046 \, x^{5} - \sqrt{2} {\left(38490112 \, x^{45} - 271881568 \, x^{41} + 620203136 \, x^{37} - 595757904 \, x^{33} + 224354048 \, x^{29} - 19751280 \, x^{25} + 9549504 \, x^{21} - 4580904 \, x^{17} - 744768 \, x^{13} + 131986 \, x^{9} - 11832 \, x^{5} + 335 \, x\right)} + 508 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{61 \, \sqrt{2} + 71} - 49 \, {\left(10656960 \, x^{47} - 62174656 \, x^{43} + 133850272 \, x^{39} - 134582176 \, x^{35} + 63040480 \, x^{31} - 11629920 \, x^{27} + 2046800 \, x^{23} - 1532240 \, x^{19} + 270460 \, x^{15} + 59892 \, x^{11} - 6078 \, x^{7} + 174 \, x^{3} - \sqrt{2} {\left(1409088 \, x^{47} - 14855264 \, x^{43} + 41389664 \, x^{39} - 50887632 \, x^{35} + 31535520 \, x^{31} - 10006512 \, x^{27} + 1266608 \, x^{23} + 218392 \, x^{19} - 129068 \, x^{15} + 64162 \, x^{11} - 5106 \, x^{7} + 135 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{3}{4}} + 6588344 \, \sqrt{2} {\left(121248 \, x^{48} - 664768 \, x^{44} + 1475824 \, x^{40} - 1696656 \, x^{36} + 1056912 \, x^{32} - 324992 \, x^{28} + 28600 \, x^{24} + 648 \, x^{20} + 4450 \, x^{16} - 1316 \, x^{12} + 51 \, x^{8} - x^{4}\right)} + 2744 \, {\left(49 \, {\left(1050528 \, x^{46} - 5554048 \, x^{42} + 10575248 \, x^{38} - 9024896 \, x^{34} + 3514320 \, x^{30} - 922752 \, x^{26} + 492648 \, x^{22} - 123808 \, x^{18} - 9582 \, x^{14} + 2456 \, x^{10} - 115 \, x^{6} - \sqrt{2} {\left(253856 \, x^{46} - 2382752 \, x^{42} + 6088688 \, x^{38} - 6303936 \, x^{34} + 2421584 \, x^{30} + 103568 \, x^{26} - 189032 \, x^{22} + 19920 \, x^{18} - 13806 \, x^{14} + 1990 \, x^{10} - 85 \, x^{6}\right)}\right)} \sqrt{x^{4} - 1} - {\left(1653472 \, x^{48} - 7958880 \, x^{44} + 16108208 \, x^{40} - 15601200 \, x^{36} + 4931952 \, x^{32} + 2562384 \, x^{28} - 2103240 \, x^{24} + 613640 \, x^{20} - 188682 \, x^{16} - 15742 \, x^{12} - 2105 \, x^{8} + 193 \, x^{4} + 2 \, \sqrt{2} {\left(698112 \, x^{48} - 3230800 \, x^{44} + 5655024 \, x^{40} - 4718720 \, x^{36} + 1737824 \, x^{32} + 362312 \, x^{28} - 831032 \, x^{24} + 329272 \, x^{20} - 12856 \, x^{16} + 10347 \, x^{12} + 583 \, x^{8} - 66 \, x^{4}\right)}\right)} \sqrt{61 \, \sqrt{2} + 71}\right)} \sqrt{61 \, \sqrt{2} + 71} + 38416 \, {\left(49 \, {\left(196960 \, x^{45} - 980384 \, x^{41} + 1882624 \, x^{37} - 1780608 \, x^{33} + 906480 \, x^{29} - 283216 \, x^{25} + 60128 \, x^{21} - 1600 \, x^{17} - 514 \, x^{13} + 126 \, x^{9} + \sqrt{2} {\left(17824 \, x^{45} + 23312 \, x^{41} - 19456 \, x^{37} - 259008 \, x^{33} + 409488 \, x^{29} - 189944 \, x^{25} + 20128 \, x^{21} - 2752 \, x^{17} + 498 \, x^{13} - 91 \, x^{9}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + {\left(826400 \, x^{47} - 6554208 \, x^{43} + 16724800 \, x^{39} - 19063552 \, x^{35} + 10249296 \, x^{31} - 2596336 \, x^{27} + 594304 \, x^{23} - 155296 \, x^{19} - 29478 \, x^{15} + 3922 \, x^{11} + 148 \, x^{7} - \sqrt{2} {\left(853312 \, x^{47} - 4698352 \, x^{43} + 9017776 \, x^{39} - 6885696 \, x^{35} + 842336 \, x^{31} + 1198920 \, x^{27} - 273064 \, x^{23} - 33248 \, x^{19} - 24988 \, x^{15} + 2901 \, x^{11} + 103 \, x^{7}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} \sqrt{61 \, \sqrt{2} + 71}\right)} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{1}{4}} + 823543}{823543 \, {\left(1783744 \, x^{48} - 12228608 \, x^{44} + 29945024 \, x^{40} - 33926144 \, x^{36} + 17890064 \, x^{32} - 3611648 \, x^{28} + 433824 \, x^{24} - 284160 \, x^{20} - 21180 \, x^{16} + 20608 \, x^{12} - 1588 \, x^{8} + 64 \, x^{4} - 1\right)}}\right) + 5 \, x^{5} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{1}{4}} \log\left(\frac{686 \, {\left(1372 \, {\left(\sqrt{2} x^{6} + x^{2}\right)} \sqrt{x^{4} - 1} - 7 \, {\left(2 \, x^{8} - 5 \, \sqrt{2} {\left(2 \, x^{8} - 1\right)} - 1\right)} \sqrt{61 \, \sqrt{2} + 71} + 2 \, {\left({\left(26 \, x^{5} - \sqrt{2} {\left(32 \, x^{5} - 13 \, x\right)} - 32 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{61 \, \sqrt{2} + 71} - 49 \, {\left(6 \, x^{7} - 2 \, x^{3} - \sqrt{2} {\left(2 \, x^{7} - 3 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{1}{4}}\right)}}{2 \, x^{8} - 1}\right) - 5 \, x^{5} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{1}{4}} \log\left(\frac{686 \, {\left(1372 \, {\left(\sqrt{2} x^{6} + x^{2}\right)} \sqrt{x^{4} - 1} - 7 \, {\left(2 \, x^{8} - 5 \, \sqrt{2} {\left(2 \, x^{8} - 1\right)} - 1\right)} \sqrt{61 \, \sqrt{2} + 71} - 2 \, {\left({\left(26 \, x^{5} - \sqrt{2} {\left(32 \, x^{5} - 13 \, x\right)} - 32 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} \sqrt{61 \, \sqrt{2} + 71} - 49 \, {\left(6 \, x^{7} - 2 \, x^{3} - \sqrt{2} {\left(2 \, x^{7} - 3 \, x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} {\left(61 \, \sqrt{2} + 71\right)}^{\frac{1}{4}}\right)}}{2 \, x^{8} - 1}\right) + 32 \, {\left(4 \, x^{4} + 1\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{160 \, x^{5}}"," ",0,"1/160*(20*sqrt(2)*x^5*(61*sqrt(2) - 71)^(1/4)*arctan(1/4802*(sqrt(2)*(784*x^8 - 784*x^4 + 2*(90*x^6 - 58*x^2 + sqrt(2)*(58*x^6 - 45*x^2))*sqrt(x^4 - 1)*sqrt(61*sqrt(2) - 71) + 49*sqrt(2)*(10*x^8 - 10*x^4 + 3) + 98)*sqrt(sqrt(61*sqrt(2) - 71)*(5*sqrt(2) + 1))*(61*sqrt(2) - 71)^(1/4) + 28*(49*(2*x^5 + sqrt(2)*(3*x^5 - x) - 3*x)*(x^4 - 1)^(3/4) + (58*x^7 - 45*x^3 + sqrt(2)*(45*x^7 - 29*x^3))*(x^4 - 1)^(1/4)*sqrt(61*sqrt(2) - 71))*(61*sqrt(2) - 71)^(1/4))/(2*x^8 - 1)) + 5*sqrt(2)*x^5*(61*sqrt(2) - 71)^(1/4)*log((686*(2*x^5 - sqrt(2)*x)*(x^4 - 1)^(3/4) + 14*(22*x^7 - 12*x^3 + sqrt(2)*(12*x^7 - 11*x^3))*(x^4 - 1)^(1/4)*sqrt(61*sqrt(2) - 71) + (98*(6*x^6 - 2*x^2 + sqrt(2)*(2*x^6 - 3*x^2))*sqrt(x^4 - 1) + (116*x^8 - 116*x^4 + sqrt(2)*(90*x^8 - 90*x^4 + 13) + 32)*sqrt(61*sqrt(2) - 71))*(61*sqrt(2) - 71)^(1/4))/(2*x^8 - 1)) - 5*sqrt(2)*x^5*(61*sqrt(2) - 71)^(1/4)*log((686*(2*x^5 - sqrt(2)*x)*(x^4 - 1)^(3/4) + 14*(22*x^7 - 12*x^3 + sqrt(2)*(12*x^7 - 11*x^3))*(x^4 - 1)^(1/4)*sqrt(61*sqrt(2) - 71) - (98*(6*x^6 - 2*x^2 + sqrt(2)*(2*x^6 - 3*x^2))*sqrt(x^4 - 1) + (116*x^8 - 116*x^4 + sqrt(2)*(90*x^8 - 90*x^4 + 13) + 32)*sqrt(61*sqrt(2) - 71))*(61*sqrt(2) - 71)^(1/4))/(2*x^8 - 1)) - 20*x^5*(61*sqrt(2) + 71)^(1/4)*arctan(-1/823543*(1070843080384*x^48 - 5913486747392*x^44 + 13489291746112*x^40 - 16041721625216*x^36 + 10177133566992*x^32 - 2984994192768*x^28 + 169531267808*x^24 + 263533760*x^20 + 41516449716*x^16 - 9342271792*x^12 + 1011310804*x^8 - 46118408*x^4 - 67228*(810688*x^46 - 3300704*x^42 + 5566048*x^38 - 4690832*x^34 + 1685088*x^30 - 100080*x^26 + 179824*x^22 - 109448*x^18 - 52228*x^14 + 12210*x^10 - 578*x^6 + 11*x^2 - sqrt(2)*(564640*x^46 - 5779968*x^42 + 16974192*x^38 - 21532576*x^34 + 12159632*x^30 - 2257344*x^26 + 37112*x^22 - 174448*x^18 + 3362*x^14 + 5680*x^10 - 293*x^6 + 6*x^2))*sqrt(x^4 - 1)*sqrt(61*sqrt(2) + 71) + sqrt(14)*(5488*(391136*x^45 - 2069248*x^41 + 3437184*x^37 - 1877760*x^33 - 154768*x^29 + 199680*x^25 + 65728*x^21 + 11968*x^17 - 3850*x^13 - 80*x^9 - sqrt(2)*(332800*x^45 - 2089936*x^41 + 4083712*x^37 - 3148160*x^33 + 816896*x^29 - 68232*x^25 + 68352*x^21 + 7312*x^17 - 2688*x^13 - 57*x^9))*(x^4 - 1)^(3/4)*sqrt(61*sqrt(2) + 71) - (98*(5163328*x^46 - 34277664*x^42 + 72312672*x^38 - 63645680*x^34 + 23071008*x^30 - 4224976*x^26 + 1737648*x^22 - 75000*x^18 - 93468*x^14 + 34214*x^10 - 2114*x^6 + 45*x^2 - sqrt(2)*(5769760*x^46 - 34301216*x^42 + 70731504*x^38 - 63826672*x^34 + 24244048*x^30 - 3234000*x^26 + 836088*x^22 - 238584*x^18 + 1002*x^14 + 19366*x^10 - 1309*x^6 + 29*x^2))*sqrt(x^4 - 1) - (68566464*x^48 - 584166592*x^44 + 1803246976*x^40 - 2593305760*x^36 + 1779401648*x^32 - 497618400*x^28 + 46058368*x^24 - 27645008*x^20 + 3558004*x^16 + 2170628*x^12 - 282040*x^8 + 16382*x^4 - 2*sqrt(2)*(34250656*x^48 - 258415904*x^44 + 740587408*x^40 - 1014652720*x^36 + 674825568*x^32 - 188789840*x^28 + 21702920*x^24 - 10965592*x^20 + 586570*x^16 + 979526*x^12 - 114699*x^8 + 6361*x^4 - 127) - 335)*sqrt(61*sqrt(2) + 71))*(61*sqrt(2) + 71)^(3/4) + 14*(196*(394240*x^45 - 2873408*x^41 + 6497632*x^37 - 6047616*x^33 + 2140416*x^29 - 144480*x^25 + 40048*x^21 + 3616*x^17 - 11552*x^13 + 1148*x^9 - 34*x^5 - sqrt(2)*(567840*x^45 - 3201312*x^41 + 6126160*x^37 - 4823936*x^33 + 1294864*x^29 - 59920*x^25 + 126152*x^21 - 24256*x^17 - 6310*x^13 + 742*x^9 - 23*x^5))*(x^4 - 1)^(3/4) + (10498496*x^47 - 52397824*x^43 + 73747104*x^39 - 17336960*x^35 - 25311648*x^31 + 8428160*x^27 + 492624*x^23 + 2002112*x^19 - 103924*x^15 - 24880*x^11 + 6882*x^7 - 264*x^3 - sqrt(2)*(4728064*x^47 - 26310880*x^43 + 33288576*x^39 + 7460272*x^35 - 30588800*x^31 + 9467600*x^27 + 1411776*x^23 + 453208*x^19 + 114832*x^15 - 29830*x^11 + 5304*x^7 - 193*x^3))*(x^4 - 1)^(1/4)*sqrt(61*sqrt(2) + 71))*sqrt(61*sqrt(2) + 71) - 2151296*(5248*x^47 - 28864*x^43 + 60400*x^39 - 62224*x^35 + 34296*x^31 - 10760*x^27 + 1940*x^23 - 12*x^19 - 14*x^15 - 10*x^11 + sqrt(2)*(2576*x^47 - 14368*x^43 + 34160*x^39 - 43048*x^35 + 29120*x^31 - 9444*x^27 + 1124*x^23 - 142*x^19 + 15*x^15 + 7*x^11))*(x^4 - 1)^(1/4) - 392*(4349632*x^48 - 39505760*x^44 + 109692576*x^40 - 129159296*x^36 + 59250016*x^32 + 1415120*x^28 - 5926256*x^24 + 53312*x^20 - 235396*x^16 + 69874*x^12 - 3822*x^8 + (2646688*x^46 - 15237728*x^42 + 28884656*x^38 - 21695616*x^34 + 4499664*x^30 + 798800*x^26 + 129144*x^22 + 13888*x^18 - 40254*x^14 + 642*x^10 + 103*x^6 - 2*sqrt(2)*(637936*x^46 - 4066368*x^42 + 8185104*x^38 - 6611040*x^34 + 1882712*x^30 - 208784*x^26 + 210552*x^22 - 17416*x^18 - 12925*x^14 + 184*x^10 + 37*x^6))*sqrt(x^4 - 1)*sqrt(61*sqrt(2) + 71) - 98*sqrt(2)*(46192*x^48 - 269184*x^44 + 638992*x^40 - 767552*x^36 + 483864*x^32 - 169440*x^28 + 54584*x^24 - 17328*x^20 - 565*x^16 + 464*x^12 - 27*x^8))*(61*sqrt(2) + 71)^(1/4))*sqrt((1372*(sqrt(2)*x^6 + x^2)*sqrt(x^4 - 1) - 7*(2*x^8 - 5*sqrt(2)*(2*x^8 - 1) - 1)*sqrt(61*sqrt(2) + 71) + 2*((26*x^5 - sqrt(2)*(32*x^5 - 13*x) - 32*x)*(x^4 - 1)^(3/4)*sqrt(61*sqrt(2) + 71) - 49*(6*x^7 - 2*x^3 - sqrt(2)*(2*x^7 - 3*x^3))*(x^4 - 1)^(1/4))*(61*sqrt(2) + 71)^(1/4))/(2*x^8 - 1)) + 98*((84770240*x^45 - 506339456*x^41 + 1062618144*x^37 - 979117888*x^33 + 374087776*x^29 - 44624960*x^25 + 13075472*x^21 - 2727456*x^17 - 1971636*x^13 + 249112*x^9 - 19046*x^5 - sqrt(2)*(38490112*x^45 - 271881568*x^41 + 620203136*x^37 - 595757904*x^33 + 224354048*x^29 - 19751280*x^25 + 9549504*x^21 - 4580904*x^17 - 744768*x^13 + 131986*x^9 - 11832*x^5 + 335*x) + 508*x)*(x^4 - 1)^(3/4)*sqrt(61*sqrt(2) + 71) - 49*(10656960*x^47 - 62174656*x^43 + 133850272*x^39 - 134582176*x^35 + 63040480*x^31 - 11629920*x^27 + 2046800*x^23 - 1532240*x^19 + 270460*x^15 + 59892*x^11 - 6078*x^7 + 174*x^3 - sqrt(2)*(1409088*x^47 - 14855264*x^43 + 41389664*x^39 - 50887632*x^35 + 31535520*x^31 - 10006512*x^27 + 1266608*x^23 + 218392*x^19 - 129068*x^15 + 64162*x^11 - 5106*x^7 + 135*x^3))*(x^4 - 1)^(1/4))*(61*sqrt(2) + 71)^(3/4) + 6588344*sqrt(2)*(121248*x^48 - 664768*x^44 + 1475824*x^40 - 1696656*x^36 + 1056912*x^32 - 324992*x^28 + 28600*x^24 + 648*x^20 + 4450*x^16 - 1316*x^12 + 51*x^8 - x^4) + 2744*(49*(1050528*x^46 - 5554048*x^42 + 10575248*x^38 - 9024896*x^34 + 3514320*x^30 - 922752*x^26 + 492648*x^22 - 123808*x^18 - 9582*x^14 + 2456*x^10 - 115*x^6 - sqrt(2)*(253856*x^46 - 2382752*x^42 + 6088688*x^38 - 6303936*x^34 + 2421584*x^30 + 103568*x^26 - 189032*x^22 + 19920*x^18 - 13806*x^14 + 1990*x^10 - 85*x^6))*sqrt(x^4 - 1) - (1653472*x^48 - 7958880*x^44 + 16108208*x^40 - 15601200*x^36 + 4931952*x^32 + 2562384*x^28 - 2103240*x^24 + 613640*x^20 - 188682*x^16 - 15742*x^12 - 2105*x^8 + 193*x^4 + 2*sqrt(2)*(698112*x^48 - 3230800*x^44 + 5655024*x^40 - 4718720*x^36 + 1737824*x^32 + 362312*x^28 - 831032*x^24 + 329272*x^20 - 12856*x^16 + 10347*x^12 + 583*x^8 - 66*x^4))*sqrt(61*sqrt(2) + 71))*sqrt(61*sqrt(2) + 71) - 38416*(49*(196960*x^45 - 980384*x^41 + 1882624*x^37 - 1780608*x^33 + 906480*x^29 - 283216*x^25 + 60128*x^21 - 1600*x^17 - 514*x^13 + 126*x^9 + sqrt(2)*(17824*x^45 + 23312*x^41 - 19456*x^37 - 259008*x^33 + 409488*x^29 - 189944*x^25 + 20128*x^21 - 2752*x^17 + 498*x^13 - 91*x^9))*(x^4 - 1)^(3/4) + (826400*x^47 - 6554208*x^43 + 16724800*x^39 - 19063552*x^35 + 10249296*x^31 - 2596336*x^27 + 594304*x^23 - 155296*x^19 - 29478*x^15 + 3922*x^11 + 148*x^7 - sqrt(2)*(853312*x^47 - 4698352*x^43 + 9017776*x^39 - 6885696*x^35 + 842336*x^31 + 1198920*x^27 - 273064*x^23 - 33248*x^19 - 24988*x^15 + 2901*x^11 + 103*x^7))*(x^4 - 1)^(1/4)*sqrt(61*sqrt(2) + 71))*(61*sqrt(2) + 71)^(1/4) + 823543)/(1783744*x^48 - 12228608*x^44 + 29945024*x^40 - 33926144*x^36 + 17890064*x^32 - 3611648*x^28 + 433824*x^24 - 284160*x^20 - 21180*x^16 + 20608*x^12 - 1588*x^8 + 64*x^4 - 1)) - 20*x^5*(61*sqrt(2) + 71)^(1/4)*arctan(1/823543*(1070843080384*x^48 - 5913486747392*x^44 + 13489291746112*x^40 - 16041721625216*x^36 + 10177133566992*x^32 - 2984994192768*x^28 + 169531267808*x^24 + 263533760*x^20 + 41516449716*x^16 - 9342271792*x^12 + 1011310804*x^8 - 46118408*x^4 - 67228*(810688*x^46 - 3300704*x^42 + 5566048*x^38 - 4690832*x^34 + 1685088*x^30 - 100080*x^26 + 179824*x^22 - 109448*x^18 - 52228*x^14 + 12210*x^10 - 578*x^6 + 11*x^2 - sqrt(2)*(564640*x^46 - 5779968*x^42 + 16974192*x^38 - 21532576*x^34 + 12159632*x^30 - 2257344*x^26 + 37112*x^22 - 174448*x^18 + 3362*x^14 + 5680*x^10 - 293*x^6 + 6*x^2))*sqrt(x^4 - 1)*sqrt(61*sqrt(2) + 71) + sqrt(14)*(5488*(391136*x^45 - 2069248*x^41 + 3437184*x^37 - 1877760*x^33 - 154768*x^29 + 199680*x^25 + 65728*x^21 + 11968*x^17 - 3850*x^13 - 80*x^9 - sqrt(2)*(332800*x^45 - 2089936*x^41 + 4083712*x^37 - 3148160*x^33 + 816896*x^29 - 68232*x^25 + 68352*x^21 + 7312*x^17 - 2688*x^13 - 57*x^9))*(x^4 - 1)^(3/4)*sqrt(61*sqrt(2) + 71) + (98*(5163328*x^46 - 34277664*x^42 + 72312672*x^38 - 63645680*x^34 + 23071008*x^30 - 4224976*x^26 + 1737648*x^22 - 75000*x^18 - 93468*x^14 + 34214*x^10 - 2114*x^6 + 45*x^2 - sqrt(2)*(5769760*x^46 - 34301216*x^42 + 70731504*x^38 - 63826672*x^34 + 24244048*x^30 - 3234000*x^26 + 836088*x^22 - 238584*x^18 + 1002*x^14 + 19366*x^10 - 1309*x^6 + 29*x^2))*sqrt(x^4 - 1) - (68566464*x^48 - 584166592*x^44 + 1803246976*x^40 - 2593305760*x^36 + 1779401648*x^32 - 497618400*x^28 + 46058368*x^24 - 27645008*x^20 + 3558004*x^16 + 2170628*x^12 - 282040*x^8 + 16382*x^4 - 2*sqrt(2)*(34250656*x^48 - 258415904*x^44 + 740587408*x^40 - 1014652720*x^36 + 674825568*x^32 - 188789840*x^28 + 21702920*x^24 - 10965592*x^20 + 586570*x^16 + 979526*x^12 - 114699*x^8 + 6361*x^4 - 127) - 335)*sqrt(61*sqrt(2) + 71))*(61*sqrt(2) + 71)^(3/4) + 14*(196*(394240*x^45 - 2873408*x^41 + 6497632*x^37 - 6047616*x^33 + 2140416*x^29 - 144480*x^25 + 40048*x^21 + 3616*x^17 - 11552*x^13 + 1148*x^9 - 34*x^5 - sqrt(2)*(567840*x^45 - 3201312*x^41 + 6126160*x^37 - 4823936*x^33 + 1294864*x^29 - 59920*x^25 + 126152*x^21 - 24256*x^17 - 6310*x^13 + 742*x^9 - 23*x^5))*(x^4 - 1)^(3/4) + (10498496*x^47 - 52397824*x^43 + 73747104*x^39 - 17336960*x^35 - 25311648*x^31 + 8428160*x^27 + 492624*x^23 + 2002112*x^19 - 103924*x^15 - 24880*x^11 + 6882*x^7 - 264*x^3 - sqrt(2)*(4728064*x^47 - 26310880*x^43 + 33288576*x^39 + 7460272*x^35 - 30588800*x^31 + 9467600*x^27 + 1411776*x^23 + 453208*x^19 + 114832*x^15 - 29830*x^11 + 5304*x^7 - 193*x^3))*(x^4 - 1)^(1/4)*sqrt(61*sqrt(2) + 71))*sqrt(61*sqrt(2) + 71) - 2151296*(5248*x^47 - 28864*x^43 + 60400*x^39 - 62224*x^35 + 34296*x^31 - 10760*x^27 + 1940*x^23 - 12*x^19 - 14*x^15 - 10*x^11 + sqrt(2)*(2576*x^47 - 14368*x^43 + 34160*x^39 - 43048*x^35 + 29120*x^31 - 9444*x^27 + 1124*x^23 - 142*x^19 + 15*x^15 + 7*x^11))*(x^4 - 1)^(1/4) + 392*(4349632*x^48 - 39505760*x^44 + 109692576*x^40 - 129159296*x^36 + 59250016*x^32 + 1415120*x^28 - 5926256*x^24 + 53312*x^20 - 235396*x^16 + 69874*x^12 - 3822*x^8 + (2646688*x^46 - 15237728*x^42 + 28884656*x^38 - 21695616*x^34 + 4499664*x^30 + 798800*x^26 + 129144*x^22 + 13888*x^18 - 40254*x^14 + 642*x^10 + 103*x^6 - 2*sqrt(2)*(637936*x^46 - 4066368*x^42 + 8185104*x^38 - 6611040*x^34 + 1882712*x^30 - 208784*x^26 + 210552*x^22 - 17416*x^18 - 12925*x^14 + 184*x^10 + 37*x^6))*sqrt(x^4 - 1)*sqrt(61*sqrt(2) + 71) - 98*sqrt(2)*(46192*x^48 - 269184*x^44 + 638992*x^40 - 767552*x^36 + 483864*x^32 - 169440*x^28 + 54584*x^24 - 17328*x^20 - 565*x^16 + 464*x^12 - 27*x^8))*(61*sqrt(2) + 71)^(1/4))*sqrt((1372*(sqrt(2)*x^6 + x^2)*sqrt(x^4 - 1) - 7*(2*x^8 - 5*sqrt(2)*(2*x^8 - 1) - 1)*sqrt(61*sqrt(2) + 71) - 2*((26*x^5 - sqrt(2)*(32*x^5 - 13*x) - 32*x)*(x^4 - 1)^(3/4)*sqrt(61*sqrt(2) + 71) - 49*(6*x^7 - 2*x^3 - sqrt(2)*(2*x^7 - 3*x^3))*(x^4 - 1)^(1/4))*(61*sqrt(2) + 71)^(1/4))/(2*x^8 - 1)) - 98*((84770240*x^45 - 506339456*x^41 + 1062618144*x^37 - 979117888*x^33 + 374087776*x^29 - 44624960*x^25 + 13075472*x^21 - 2727456*x^17 - 1971636*x^13 + 249112*x^9 - 19046*x^5 - sqrt(2)*(38490112*x^45 - 271881568*x^41 + 620203136*x^37 - 595757904*x^33 + 224354048*x^29 - 19751280*x^25 + 9549504*x^21 - 4580904*x^17 - 744768*x^13 + 131986*x^9 - 11832*x^5 + 335*x) + 508*x)*(x^4 - 1)^(3/4)*sqrt(61*sqrt(2) + 71) - 49*(10656960*x^47 - 62174656*x^43 + 133850272*x^39 - 134582176*x^35 + 63040480*x^31 - 11629920*x^27 + 2046800*x^23 - 1532240*x^19 + 270460*x^15 + 59892*x^11 - 6078*x^7 + 174*x^3 - sqrt(2)*(1409088*x^47 - 14855264*x^43 + 41389664*x^39 - 50887632*x^35 + 31535520*x^31 - 10006512*x^27 + 1266608*x^23 + 218392*x^19 - 129068*x^15 + 64162*x^11 - 5106*x^7 + 135*x^3))*(x^4 - 1)^(1/4))*(61*sqrt(2) + 71)^(3/4) + 6588344*sqrt(2)*(121248*x^48 - 664768*x^44 + 1475824*x^40 - 1696656*x^36 + 1056912*x^32 - 324992*x^28 + 28600*x^24 + 648*x^20 + 4450*x^16 - 1316*x^12 + 51*x^8 - x^4) + 2744*(49*(1050528*x^46 - 5554048*x^42 + 10575248*x^38 - 9024896*x^34 + 3514320*x^30 - 922752*x^26 + 492648*x^22 - 123808*x^18 - 9582*x^14 + 2456*x^10 - 115*x^6 - sqrt(2)*(253856*x^46 - 2382752*x^42 + 6088688*x^38 - 6303936*x^34 + 2421584*x^30 + 103568*x^26 - 189032*x^22 + 19920*x^18 - 13806*x^14 + 1990*x^10 - 85*x^6))*sqrt(x^4 - 1) - (1653472*x^48 - 7958880*x^44 + 16108208*x^40 - 15601200*x^36 + 4931952*x^32 + 2562384*x^28 - 2103240*x^24 + 613640*x^20 - 188682*x^16 - 15742*x^12 - 2105*x^8 + 193*x^4 + 2*sqrt(2)*(698112*x^48 - 3230800*x^44 + 5655024*x^40 - 4718720*x^36 + 1737824*x^32 + 362312*x^28 - 831032*x^24 + 329272*x^20 - 12856*x^16 + 10347*x^12 + 583*x^8 - 66*x^4))*sqrt(61*sqrt(2) + 71))*sqrt(61*sqrt(2) + 71) + 38416*(49*(196960*x^45 - 980384*x^41 + 1882624*x^37 - 1780608*x^33 + 906480*x^29 - 283216*x^25 + 60128*x^21 - 1600*x^17 - 514*x^13 + 126*x^9 + sqrt(2)*(17824*x^45 + 23312*x^41 - 19456*x^37 - 259008*x^33 + 409488*x^29 - 189944*x^25 + 20128*x^21 - 2752*x^17 + 498*x^13 - 91*x^9))*(x^4 - 1)^(3/4) + (826400*x^47 - 6554208*x^43 + 16724800*x^39 - 19063552*x^35 + 10249296*x^31 - 2596336*x^27 + 594304*x^23 - 155296*x^19 - 29478*x^15 + 3922*x^11 + 148*x^7 - sqrt(2)*(853312*x^47 - 4698352*x^43 + 9017776*x^39 - 6885696*x^35 + 842336*x^31 + 1198920*x^27 - 273064*x^23 - 33248*x^19 - 24988*x^15 + 2901*x^11 + 103*x^7))*(x^4 - 1)^(1/4)*sqrt(61*sqrt(2) + 71))*(61*sqrt(2) + 71)^(1/4) + 823543)/(1783744*x^48 - 12228608*x^44 + 29945024*x^40 - 33926144*x^36 + 17890064*x^32 - 3611648*x^28 + 433824*x^24 - 284160*x^20 - 21180*x^16 + 20608*x^12 - 1588*x^8 + 64*x^4 - 1)) + 5*x^5*(61*sqrt(2) + 71)^(1/4)*log(686*(1372*(sqrt(2)*x^6 + x^2)*sqrt(x^4 - 1) - 7*(2*x^8 - 5*sqrt(2)*(2*x^8 - 1) - 1)*sqrt(61*sqrt(2) + 71) + 2*((26*x^5 - sqrt(2)*(32*x^5 - 13*x) - 32*x)*(x^4 - 1)^(3/4)*sqrt(61*sqrt(2) + 71) - 49*(6*x^7 - 2*x^3 - sqrt(2)*(2*x^7 - 3*x^3))*(x^4 - 1)^(1/4))*(61*sqrt(2) + 71)^(1/4))/(2*x^8 - 1)) - 5*x^5*(61*sqrt(2) + 71)^(1/4)*log(686*(1372*(sqrt(2)*x^6 + x^2)*sqrt(x^4 - 1) - 7*(2*x^8 - 5*sqrt(2)*(2*x^8 - 1) - 1)*sqrt(61*sqrt(2) + 71) - 2*((26*x^5 - sqrt(2)*(32*x^5 - 13*x) - 32*x)*(x^4 - 1)^(3/4)*sqrt(61*sqrt(2) + 71) - 49*(6*x^7 - 2*x^3 - sqrt(2)*(2*x^7 - 3*x^3))*(x^4 - 1)^(1/4))*(61*sqrt(2) + 71)^(1/4))/(2*x^8 - 1)) + 32*(4*x^4 + 1)*(x^4 - 1)^(1/4))/x^5","B",0
1584,1,70,0,0.459520," ","integrate((a^2*x^2-b*x)^(1/2)/(a*x^2+x*(a^2*x^2-b*x)^(1/2))^(3/2),x, algorithm=""fricas"")","-\frac{4 \, {\left(3 \, a^{3} x^{2} + 5 \, a b x - \sqrt{a^{2} x^{2} - b x} {\left(3 \, a^{2} x + b\right)}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x}}{3 \, b^{2} x^{2}}"," ",0,"-4/3*(3*a^3*x^2 + 5*a*b*x - sqrt(a^2*x^2 - b*x)*(3*a^2*x + b))*sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x)/(b^2*x^2)","A",0
1585,1,101,0,0.463140," ","integrate(x^7*(x^3-1)^(1/3),x, algorithm=""fricas"")","-\frac{5}{243} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{1}{162} \, {\left(18 \, x^{8} - 3 \, x^{5} - 5 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}} + \frac{5}{243} \, \log\left(-\frac{x - {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x}\right) - \frac{5}{486} \, \log\left(\frac{x^{2} + {\left(x^{3} - 1\right)}^{\frac{1}{3}} x + {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-5/243*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 - 1)^(1/3))/x) + 1/162*(18*x^8 - 3*x^5 - 5*x^2)*(x^3 - 1)^(1/3) + 5/243*log(-(x - (x^3 - 1)^(1/3))/x) - 5/486*log((x^2 + (x^3 - 1)^(1/3)*x + (x^3 - 1)^(2/3))/x^2)","A",0
1586,1,101,0,0.463341," ","integrate(x^7*(x^3+1)^(1/3),x, algorithm=""fricas"")","\frac{5}{243} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{1}{162} \, {\left(18 \, x^{8} + 3 \, x^{5} - 5 \, x^{2}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}} - \frac{5}{243} \, \log\left(-\frac{x - {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x}\right) + \frac{5}{486} \, \log\left(\frac{x^{2} + {\left(x^{3} + 1\right)}^{\frac{1}{3}} x + {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"5/243*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + 1)^(1/3))/x) + 1/162*(18*x^8 + 3*x^5 - 5*x^2)*(x^3 + 1)^(1/3) - 5/243*log(-(x - (x^3 + 1)^(1/3))/x) + 5/486*log((x^2 + (x^3 + 1)^(1/3)*x + (x^3 + 1)^(2/3))/x^2)","A",0
1587,1,98,0,0.465121," ","integrate((x^3-1)^(1/3)*(x^3+1)/x^13,x, algorithm=""fricas"")","\frac{100 \, \sqrt{3} x^{12} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) - 50 \, x^{12} \log\left({\left(x^{3} - 1\right)}^{\frac{2}{3}} - {\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) + 100 \, x^{12} \log\left({\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) + 3 \, {\left(50 \, x^{9} + 30 \, x^{6} - 99 \, x^{3} - 81\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{2916 \, x^{12}}"," ",0,"1/2916*(100*sqrt(3)*x^12*arctan(2/3*sqrt(3)*(x^3 - 1)^(1/3) - 1/3*sqrt(3)) - 50*x^12*log((x^3 - 1)^(2/3) - (x^3 - 1)^(1/3) + 1) + 100*x^12*log((x^3 - 1)^(1/3) + 1) + 3*(50*x^9 + 30*x^6 - 99*x^3 - 81)*(x^3 - 1)^(1/3))/x^12","A",0
1588,-1,0,0,0.000000," ","integrate((-b+x)*(a-3*b+2*x)/(-a+x)/((-a+x)*(-b+x))^(3/4)/(b-a^3*d-(-3*a^2*d+1)*x-3*a*d*x^2+d*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1589,1,249,0,0.490558," ","integrate(x^8*(a*x^4-b)^(3/4),x, algorithm=""fricas"")","-\frac{60 \, \left(\frac{b^{12}}{a^{9}}\right)^{\frac{1}{4}} a^{2} \arctan\left(-\frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}} \left(\frac{b^{12}}{a^{9}}\right)^{\frac{1}{4}} a^{2} b^{9} - \left(\frac{b^{12}}{a^{9}}\right)^{\frac{1}{4}} a^{2} x \sqrt{\frac{\sqrt{\frac{b^{12}}{a^{9}}} a^{5} b^{12} x^{2} + \sqrt{a x^{4} - b} b^{18}}{x^{2}}}}{b^{12} x}\right) + 15 \, \left(\frac{b^{12}}{a^{9}}\right)^{\frac{1}{4}} a^{2} \log\left(\frac{125 \, {\left({\left(a x^{4} - b\right)}^{\frac{1}{4}} b^{9} + \left(\frac{b^{12}}{a^{9}}\right)^{\frac{3}{4}} a^{7} x\right)}}{x}\right) - 15 \, \left(\frac{b^{12}}{a^{9}}\right)^{\frac{1}{4}} a^{2} \log\left(\frac{125 \, {\left({\left(a x^{4} - b\right)}^{\frac{1}{4}} b^{9} - \left(\frac{b^{12}}{a^{9}}\right)^{\frac{3}{4}} a^{7} x\right)}}{x}\right) - 4 \, {\left(32 \, a^{2} x^{9} - 12 \, a b x^{5} - 15 \, b^{2} x\right)} {\left(a x^{4} - b\right)}^{\frac{3}{4}}}{1536 \, a^{2}}"," ",0,"-1/1536*(60*(b^12/a^9)^(1/4)*a^2*arctan(-((a*x^4 - b)^(1/4)*(b^12/a^9)^(1/4)*a^2*b^9 - (b^12/a^9)^(1/4)*a^2*x*sqrt((sqrt(b^12/a^9)*a^5*b^12*x^2 + sqrt(a*x^4 - b)*b^18)/x^2))/(b^12*x)) + 15*(b^12/a^9)^(1/4)*a^2*log(125*((a*x^4 - b)^(1/4)*b^9 + (b^12/a^9)^(3/4)*a^7*x)/x) - 15*(b^12/a^9)^(1/4)*a^2*log(125*((a*x^4 - b)^(1/4)*b^9 - (b^12/a^9)^(3/4)*a^7*x)/x) - 4*(32*a^2*x^9 - 12*a*b*x^5 - 15*b^2*x)*(a*x^4 - b)^(3/4))/a^2","B",0
1590,1,430,0,107.752443," ","integrate(1/(a*x^3+b)/(a*x^4-b*x)^(1/4),x, algorithm=""fricas"")","-\frac{2}{3} \, \left(\frac{1}{2}\right)^{\frac{1}{4}} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}} \arctan\left(\frac{2 \, {\left(2 \, \left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(a x^{4} - b x\right)}^{\frac{3}{4}} a b^{3} \left(\frac{1}{a b^{4}}\right)^{\frac{3}{4}} + 2 \, \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(a x^{4} - b x\right)}^{\frac{1}{4}} a b x^{2} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}} + {\left(2 \, \left(\frac{1}{2}\right)^{\frac{1}{4}} \sqrt{a x^{4} - b x} a b x \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}} + \left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(3 \, a^{2} b^{3} x^{3} - a b^{4}\right)} \left(\frac{1}{a b^{4}}\right)^{\frac{3}{4}}\right)} \sqrt{\sqrt{\frac{1}{2}} b^{2} \sqrt{\frac{1}{a b^{4}}}}\right)}}{a x^{3} + b}\right) + \frac{1}{6} \, \left(\frac{1}{2}\right)^{\frac{1}{4}} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}} \log\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{3}{4}} \sqrt{a x^{4} - b x} a b^{3} x \left(\frac{1}{a b^{4}}\right)^{\frac{3}{4}} + 4 \, \sqrt{\frac{1}{2}} {\left(a x^{4} - b x\right)}^{\frac{1}{4}} a b^{2} x^{2} \sqrt{\frac{1}{a b^{4}}} + \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(3 \, a b x^{3} - b^{2}\right)} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}} + 2 \, {\left(a x^{4} - b x\right)}^{\frac{3}{4}}}{a x^{3} + b}\right) - \frac{1}{6} \, \left(\frac{1}{2}\right)^{\frac{1}{4}} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}} \log\left(-\frac{4 \, \left(\frac{1}{2}\right)^{\frac{3}{4}} \sqrt{a x^{4} - b x} a b^{3} x \left(\frac{1}{a b^{4}}\right)^{\frac{3}{4}} - 4 \, \sqrt{\frac{1}{2}} {\left(a x^{4} - b x\right)}^{\frac{1}{4}} a b^{2} x^{2} \sqrt{\frac{1}{a b^{4}}} + \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(3 \, a b x^{3} - b^{2}\right)} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}} - 2 \, {\left(a x^{4} - b x\right)}^{\frac{3}{4}}}{a x^{3} + b}\right)"," ",0,"-2/3*(1/2)^(1/4)*(1/(a*b^4))^(1/4)*arctan(2*(2*(1/2)^(3/4)*(a*x^4 - b*x)^(3/4)*a*b^3*(1/(a*b^4))^(3/4) + 2*(1/2)^(1/4)*(a*x^4 - b*x)^(1/4)*a*b*x^2*(1/(a*b^4))^(1/4) + (2*(1/2)^(1/4)*sqrt(a*x^4 - b*x)*a*b*x*(1/(a*b^4))^(1/4) + (1/2)^(3/4)*(3*a^2*b^3*x^3 - a*b^4)*(1/(a*b^4))^(3/4))*sqrt(sqrt(1/2)*b^2*sqrt(1/(a*b^4))))/(a*x^3 + b)) + 1/6*(1/2)^(1/4)*(1/(a*b^4))^(1/4)*log((4*(1/2)^(3/4)*sqrt(a*x^4 - b*x)*a*b^3*x*(1/(a*b^4))^(3/4) + 4*sqrt(1/2)*(a*x^4 - b*x)^(1/4)*a*b^2*x^2*sqrt(1/(a*b^4)) + (1/2)^(1/4)*(3*a*b*x^3 - b^2)*(1/(a*b^4))^(1/4) + 2*(a*x^4 - b*x)^(3/4))/(a*x^3 + b)) - 1/6*(1/2)^(1/4)*(1/(a*b^4))^(1/4)*log(-(4*(1/2)^(3/4)*sqrt(a*x^4 - b*x)*a*b^3*x*(1/(a*b^4))^(3/4) - 4*sqrt(1/2)*(a*x^4 - b*x)^(1/4)*a*b^2*x^2*sqrt(1/(a*b^4)) + (1/2)^(1/4)*(3*a*b*x^3 - b^2)*(1/(a*b^4))^(1/4) - 2*(a*x^4 - b*x)^(3/4))/(a*x^3 + b))","B",0
1591,-1,0,0,0.000000," ","integrate((a*x^4-b*x^2)^(1/4)/x^4/(a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1592,-1,0,0,0.000000," ","integrate((a*x^4-b*x^2)^(1/4)/x^4/(a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1593,-1,0,0,0.000000," ","integrate((-2+(1+k)*x)*(1-(1+k)*x+(a+k)*x^2)/((1-x)*x*(-k*x+1))^(1/3)/(1-2*(1+k)*x+(k^2+c+4*k+1)*x^2-(c*k+2*k^2+c+2*k)*x^3+(c*k+k^2-b)*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1594,1,113,0,1.307270," ","integrate((x^6-1)^(1/3)*(x^6+1)/x^3,x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x^{2} \arctan\left(-\frac{25382 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{4} - 13720 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{2}{3}} x^{2} + \sqrt{3} {\left(5831 \, x^{6} - 7200\right)}}{58653 \, x^{6} - 8000}\right) + x^{2} \log\left(-3 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{4} + 3 \, {\left(x^{6} - 1\right)}^{\frac{2}{3}} x^{2} + 1\right) - 3 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}} {\left(x^{6} - 3\right)}}{18 \, x^{2}}"," ",0,"-1/18*(2*sqrt(3)*x^2*arctan(-(25382*sqrt(3)*(x^6 - 1)^(1/3)*x^4 - 13720*sqrt(3)*(x^6 - 1)^(2/3)*x^2 + sqrt(3)*(5831*x^6 - 7200))/(58653*x^6 - 8000)) + x^2*log(-3*(x^6 - 1)^(1/3)*x^4 + 3*(x^6 - 1)^(2/3)*x^2 + 1) - 3*(x^6 - 1)^(1/3)*(x^6 - 3))/x^2","A",0
1595,-2,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(x^6-2*x^3+1)/x^6/(x^6-2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1596,-2,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(x^6-2*x^3+1)/x^6/(x^6-2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1597,1,116,0,1.005805," ","integrate((x^6-1)^(1/3)*(2*x^6-1)/x^9,x, algorithm=""fricas"")","-\frac{8 \, \sqrt{3} x^{8} \arctan\left(-\frac{25382 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{4} - 13720 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{2}{3}} x^{2} + \sqrt{3} {\left(5831 \, x^{6} - 7200\right)}}{58653 \, x^{6} - 8000}\right) + 4 \, x^{8} \log\left(-3 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{4} + 3 \, {\left(x^{6} - 1\right)}^{\frac{2}{3}} x^{2} + 1\right) + 3 \, {\left(9 \, x^{6} - 1\right)} {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{24 \, x^{8}}"," ",0,"-1/24*(8*sqrt(3)*x^8*arctan(-(25382*sqrt(3)*(x^6 - 1)^(1/3)*x^4 - 13720*sqrt(3)*(x^6 - 1)^(2/3)*x^2 + sqrt(3)*(5831*x^6 - 7200))/(58653*x^6 - 8000)) + 4*x^8*log(-3*(x^6 - 1)^(1/3)*x^4 + 3*(x^6 - 1)^(2/3)*x^2 + 1) + 3*(9*x^6 - 1)*(x^6 - 1)^(1/3))/x^8","A",0
1598,-2,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6-1)/x^6/(2*x^6+x^3-2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1599,-2,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6-1)/x^6/(2*x^6+x^3-2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1600,1,444,0,2.670255," ","integrate((x^4-1)^(1/4)*(2*x^8-x^4+2)/x^10/(2*x^4-1),x, algorithm=""fricas"")","-\frac{36 \, \sqrt{2} x^{9} \arctan\left(-\frac{\sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} x^{2} - \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{5}{4}} + {\left(2 \, x^{5} - \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} x^{2} - \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{5}{4}} - 2 \, x\right)} \sqrt{\frac{2 \, x^{4} + 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{x^{4} - 1} x^{2} + 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} x - 1}{2 \, x^{4} - 1}}}{2 \, {\left(x^{5} - x\right)}}\right) + 36 \, \sqrt{2} x^{9} \arctan\left(-\frac{\sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} x^{2} - \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{5}{4}} - {\left(2 \, x^{5} + \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} x^{2} + \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{5}{4}} - 2 \, x\right)} \sqrt{\frac{2 \, x^{4} - 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{x^{4} - 1} x^{2} - 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} x - 1}{2 \, x^{4} - 1}}}{2 \, {\left(x^{5} - x\right)}}\right) + 9 \, \sqrt{2} x^{9} \log\left(\frac{2 \, x^{4} + 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{x^{4} - 1} x^{2} + 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} x - 1}{2 \, x^{4} - 1}\right) - 9 \, \sqrt{2} x^{9} \log\left(\frac{2 \, x^{4} - 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{x^{4} - 1} x^{2} - 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} x - 1}{2 \, x^{4} - 1}\right) - 2 \, {\left(65 \, x^{8} + 5 \, x^{4} + 2\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{18 \, x^{9}}"," ",0,"-1/18*(36*sqrt(2)*x^9*arctan(-1/2*(sqrt(2)*(x^4 - 1)^(3/4)*x^2 - sqrt(2)*(x^4 - 1)^(5/4) + (2*x^5 - sqrt(2)*(x^4 - 1)^(3/4)*x^2 - sqrt(2)*(x^4 - 1)^(5/4) - 2*x)*sqrt((2*x^4 + 2*sqrt(2)*(x^4 - 1)^(1/4)*x^3 + 4*sqrt(x^4 - 1)*x^2 + 2*sqrt(2)*(x^4 - 1)^(3/4)*x - 1)/(2*x^4 - 1)))/(x^5 - x)) + 36*sqrt(2)*x^9*arctan(-1/2*(sqrt(2)*(x^4 - 1)^(3/4)*x^2 - sqrt(2)*(x^4 - 1)^(5/4) - (2*x^5 + sqrt(2)*(x^4 - 1)^(3/4)*x^2 + sqrt(2)*(x^4 - 1)^(5/4) - 2*x)*sqrt((2*x^4 - 2*sqrt(2)*(x^4 - 1)^(1/4)*x^3 + 4*sqrt(x^4 - 1)*x^2 - 2*sqrt(2)*(x^4 - 1)^(3/4)*x - 1)/(2*x^4 - 1)))/(x^5 - x)) + 9*sqrt(2)*x^9*log((2*x^4 + 2*sqrt(2)*(x^4 - 1)^(1/4)*x^3 + 4*sqrt(x^4 - 1)*x^2 + 2*sqrt(2)*(x^4 - 1)^(3/4)*x - 1)/(2*x^4 - 1)) - 9*sqrt(2)*x^9*log((2*x^4 - 2*sqrt(2)*(x^4 - 1)^(1/4)*x^3 + 4*sqrt(x^4 - 1)*x^2 - 2*sqrt(2)*(x^4 - 1)^(3/4)*x - 1)/(2*x^4 - 1)) - 2*(65*x^8 + 5*x^4 + 2)*(x^4 - 1)^(1/4))/x^9","B",0
1601,-1,0,0,0.000000," ","integrate((x^6+2)*(x^12+x^8-2*x^6+1)/x^8/(x^6-1)^(1/4)/(x^6+x^4-1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1602,1,96,0,0.597017," ","integrate((x^2+x)^(1/2)/x/(x^2+x*(x^2+x)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{2} x \log\left(\frac{4 \, x^{2} + 2 \, \sqrt{x^{2} + \sqrt{x^{2} + x} x} {\left(\sqrt{2} x + \sqrt{2} \sqrt{x^{2} + x}\right)} + 4 \, \sqrt{x^{2} + x} x + x}{x}\right) + 4 \, \sqrt{x^{2} + \sqrt{x^{2} + x} x} {\left(x - \sqrt{x^{2} + x} - 2\right)}}{2 \, x}"," ",0,"1/2*(sqrt(2)*x*log((4*x^2 + 2*sqrt(x^2 + sqrt(x^2 + x)*x)*(sqrt(2)*x + sqrt(2)*sqrt(x^2 + x)) + 4*sqrt(x^2 + x)*x + x)/x) + 4*sqrt(x^2 + sqrt(x^2 + x)*x)*(x - sqrt(x^2 + x) - 2))/x","A",0
1603,1,96,0,0.600828," ","integrate((x^2+x*(x^2+x)^(1/2))^(1/2)/(x^2+x)^(1/2),x, algorithm=""fricas"")","\frac{3 \, \sqrt{2} x \log\left(\frac{4 \, x^{2} - 2 \, \sqrt{x^{2} + \sqrt{x^{2} + x} x} {\left(\sqrt{2} x + \sqrt{2} \sqrt{x^{2} + x}\right)} + 4 \, \sqrt{x^{2} + x} x + x}{x}\right) - 4 \, \sqrt{x^{2} + \sqrt{x^{2} + x} x} {\left(x - 3 \, \sqrt{x^{2} + x}\right)}}{8 \, x}"," ",0,"1/8*(3*sqrt(2)*x*log((4*x^2 - 2*sqrt(x^2 + sqrt(x^2 + x)*x)*(sqrt(2)*x + sqrt(2)*sqrt(x^2 + x)) + 4*sqrt(x^2 + x)*x + x)/x) - 4*sqrt(x^2 + sqrt(x^2 + x)*x)*(x - 3*sqrt(x^2 + x)))/x","A",0
1604,1,239,0,45.688698," ","integrate(1/(b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{2} a x \sqrt{-\frac{b}{a}} \log\left(-\frac{a x^{3} + 4 \, b^{2} x - 4 \, \sqrt{a x^{2} + b^{2}} b x + 2 \, {\left(2 \, \sqrt{2} \sqrt{a x^{2} + b^{2}} b \sqrt{-\frac{b}{a}} - \sqrt{2} {\left(a x^{2} + 2 \, b^{2}\right)} \sqrt{-\frac{b}{a}}\right)} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{x^{3}}\right) - 4 \, \sqrt{b + \sqrt{a x^{2} + b^{2}}} {\left(b - \sqrt{a x^{2} + b^{2}}\right)}}{2 \, a x}, \frac{\sqrt{2} a x \sqrt{\frac{b}{a}} \arctan\left(\frac{\sqrt{2} \sqrt{b + \sqrt{a x^{2} + b^{2}}} \sqrt{\frac{b}{a}}}{x}\right) - 2 \, \sqrt{b + \sqrt{a x^{2} + b^{2}}} {\left(b - \sqrt{a x^{2} + b^{2}}\right)}}{a x}\right]"," ",0,"[1/2*(sqrt(2)*a*x*sqrt(-b/a)*log(-(a*x^3 + 4*b^2*x - 4*sqrt(a*x^2 + b^2)*b*x + 2*(2*sqrt(2)*sqrt(a*x^2 + b^2)*b*sqrt(-b/a) - sqrt(2)*(a*x^2 + 2*b^2)*sqrt(-b/a))*sqrt(b + sqrt(a*x^2 + b^2)))/x^3) - 4*sqrt(b + sqrt(a*x^2 + b^2))*(b - sqrt(a*x^2 + b^2)))/(a*x), (sqrt(2)*a*x*sqrt(b/a)*arctan(sqrt(2)*sqrt(b + sqrt(a*x^2 + b^2))*sqrt(b/a)/x) - 2*sqrt(b + sqrt(a*x^2 + b^2))*(b - sqrt(a*x^2 + b^2)))/(a*x)]","A",0
1605,1,93,0,0.535329," ","integrate((a*x^2+b^2)^2*(b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(63 \, a^{3} x^{6} + 199 \, a^{2} b^{2} x^{4} + 241 \, a b^{4} x^{2} - 151 \, b^{6} + {\left(7 \, a^{2} b x^{4} + 30 \, a b^{3} x^{2} + 151 \, b^{5}\right)} \sqrt{a x^{2} + b^{2}}\right)} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{693 \, a x}"," ",0,"2/693*(63*a^3*x^6 + 199*a^2*b^2*x^4 + 241*a*b^4*x^2 - 151*b^6 + (7*a^2*b*x^4 + 30*a*b^3*x^2 + 151*b^5)*sqrt(a*x^2 + b^2))*sqrt(b + sqrt(a*x^2 + b^2))/(a*x)","A",0
1606,1,117,0,0.872251," ","integrate(1/(1-3*x)/(x^3-x)^(1/3),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{3} \arctan\left(\frac{286273 \, \sqrt{3} {\left(x^{3} - x\right)}^{\frac{1}{3}} {\left(x + 1\right)} + \sqrt{3} {\left(635653 \, x^{2} - 434719 \, x + 66978\right)} + 539695 \, \sqrt{3} {\left(x^{3} - x\right)}^{\frac{2}{3}}}{1293894 \, x^{2} - 1974837 \, x - 226981}\right) + \frac{1}{8} \, \log\left(\frac{9 \, x^{2} + 6 \, {\left(x^{3} - x\right)}^{\frac{1}{3}} {\left(x + 1\right)} - 6 \, x + 12 \, {\left(x^{3} - x\right)}^{\frac{2}{3}} + 1}{9 \, x^{2} - 6 \, x + 1}\right)"," ",0,"1/4*sqrt(3)*arctan((286273*sqrt(3)*(x^3 - x)^(1/3)*(x + 1) + sqrt(3)*(635653*x^2 - 434719*x + 66978) + 539695*sqrt(3)*(x^3 - x)^(2/3))/(1293894*x^2 - 1974837*x - 226981)) + 1/8*log((9*x^2 + 6*(x^3 - x)^(1/3)*(x + 1) - 6*x + 12*(x^3 - x)^(2/3) + 1)/(9*x^2 - 6*x + 1))","A",0
1607,1,117,0,0.854083," ","integrate(1/(1+3*x)/(x^3-x)^(1/3),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{3} \arctan\left(\frac{286273 \, \sqrt{3} {\left(x^{3} - x\right)}^{\frac{1}{3}} {\left(x - 1\right)} + \sqrt{3} {\left(635653 \, x^{2} + 434719 \, x + 66978\right)} + 539695 \, \sqrt{3} {\left(x^{3} - x\right)}^{\frac{2}{3}}}{1293894 \, x^{2} + 1974837 \, x - 226981}\right) + \frac{1}{8} \, \log\left(\frac{9 \, x^{2} + 6 \, {\left(x^{3} - x\right)}^{\frac{1}{3}} {\left(x - 1\right)} + 6 \, x + 12 \, {\left(x^{3} - x\right)}^{\frac{2}{3}} + 1}{9 \, x^{2} + 6 \, x + 1}\right)"," ",0,"1/4*sqrt(3)*arctan((286273*sqrt(3)*(x^3 - x)^(1/3)*(x - 1) + sqrt(3)*(635653*x^2 + 434719*x + 66978) + 539695*sqrt(3)*(x^3 - x)^(2/3))/(1293894*x^2 + 1974837*x - 226981)) + 1/8*log((9*x^2 + 6*(x^3 - x)^(1/3)*(x - 1) + 6*x + 12*(x^3 - x)^(2/3) + 1)/(9*x^2 + 6*x + 1))","A",0
1608,1,113,0,0.441931," ","integrate(x/(x^3-x^2)^(1/3),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) + 2 \, x \log\left(-\frac{x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) - x \log\left(\frac{x^{2} + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - 6 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{6 \, x}"," ",0,"-1/6*(2*sqrt(3)*x*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 - x^2)^(1/3))/x) + 2*x*log(-(x - (x^3 - x^2)^(1/3))/x) - x*log((x^2 + (x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(2/3))/x^2) - 6*(x^3 - x^2)^(2/3))/x","A",0
1609,1,136,0,0.978164," ","integrate((-x^3+1)^(2/3)*(x^3-1)/x^6/(2*x^3-1),x, algorithm=""fricas"")","\frac{10 \, \sqrt{3} x^{5} \arctan\left(-\frac{4 \, \sqrt{3} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 2 \, \sqrt{3} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} x - \sqrt{3} {\left(x^{3} - 1\right)}}{7 \, x^{3} + 1}\right) - 5 \, x^{5} \log\left(\frac{2 \, x^{3} - 3 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(-x^{3} + 1\right)}^{\frac{2}{3}} x - 1}{2 \, x^{3} - 1}\right) - 3 \, {\left(3 \, x^{3} + 2\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{30 \, x^{5}}"," ",0,"1/30*(10*sqrt(3)*x^5*arctan(-(4*sqrt(3)*(-x^3 + 1)^(1/3)*x^2 - 2*sqrt(3)*(-x^3 + 1)^(2/3)*x - sqrt(3)*(x^3 - 1))/(7*x^3 + 1)) - 5*x^5*log((2*x^3 - 3*(-x^3 + 1)^(1/3)*x^2 + 3*(-x^3 + 1)^(2/3)*x - 1)/(2*x^3 - 1)) - 3*(3*x^3 + 2)*(-x^3 + 1)^(2/3))/x^5","A",0
1610,-1,0,0,0.000000," ","integrate((a*x+2*b)/(a*x+x^2+b)/(a*x^3+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1611,1,233,0,1.862276," ","integrate(x^3*(x^4+x)^(1/2)/(a*x^3-b),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{x^{4} + x} a x + {\left(a + 2 \, b\right)} \log\left(-2 \, x^{3} - 2 \, \sqrt{x^{4} + x} x - 1\right) + \sqrt{a b + b^{2}} \log\left(-\frac{{\left(a^{2} + 8 \, a b + 8 \, b^{2}\right)} x^{6} + 2 \, {\left(3 \, a b + 4 \, b^{2}\right)} x^{3} - 4 \, {\left({\left(a + 2 \, b\right)} x^{4} + b x\right)} \sqrt{x^{4} + x} \sqrt{a b + b^{2}} + b^{2}}{a^{2} x^{6} - 2 \, a b x^{3} + b^{2}}\right)}{6 \, a^{2}}, \frac{2 \, \sqrt{x^{4} + x} a x + {\left(a + 2 \, b\right)} \log\left(-2 \, x^{3} - 2 \, \sqrt{x^{4} + x} x - 1\right) + 2 \, \sqrt{-a b - b^{2}} \arctan\left(\frac{2 \, \sqrt{x^{4} + x} \sqrt{-a b - b^{2}} x}{{\left(a + 2 \, b\right)} x^{3} + b}\right)}{6 \, a^{2}}\right]"," ",0,"[1/6*(2*sqrt(x^4 + x)*a*x + (a + 2*b)*log(-2*x^3 - 2*sqrt(x^4 + x)*x - 1) + sqrt(a*b + b^2)*log(-((a^2 + 8*a*b + 8*b^2)*x^6 + 2*(3*a*b + 4*b^2)*x^3 - 4*((a + 2*b)*x^4 + b*x)*sqrt(x^4 + x)*sqrt(a*b + b^2) + b^2)/(a^2*x^6 - 2*a*b*x^3 + b^2)))/a^2, 1/6*(2*sqrt(x^4 + x)*a*x + (a + 2*b)*log(-2*x^3 - 2*sqrt(x^4 + x)*x - 1) + 2*sqrt(-a*b - b^2)*arctan(2*sqrt(x^4 + x)*sqrt(-a*b - b^2)*x/((a + 2*b)*x^3 + b)))/a^2]","A",0
1612,1,100,0,0.522706," ","integrate(x^9*(x^6+1)^(1/3),x, algorithm=""fricas"")","-\frac{1}{54} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x^{2} + 2 \, \sqrt{3} {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{3 \, x^{2}}\right) + \frac{1}{36} \, {\left(3 \, x^{10} + x^{4}\right)} {\left(x^{6} + 1\right)}^{\frac{1}{3}} + \frac{1}{54} \, \log\left(-\frac{x^{2} - {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}}\right) - \frac{1}{108} \, \log\left(\frac{x^{4} + {\left(x^{6} + 1\right)}^{\frac{1}{3}} x^{2} + {\left(x^{6} + 1\right)}^{\frac{2}{3}}}{x^{4}}\right)"," ",0,"-1/54*sqrt(3)*arctan(1/3*(sqrt(3)*x^2 + 2*sqrt(3)*(x^6 + 1)^(1/3))/x^2) + 1/36*(3*x^10 + x^4)*(x^6 + 1)^(1/3) + 1/54*log(-(x^2 - (x^6 + 1)^(1/3))/x^2) - 1/108*log((x^4 + (x^6 + 1)^(1/3)*x^2 + (x^6 + 1)^(2/3))/x^4)","A",0
1613,-2,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^3+2)/x^6/(x^6+4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1614,-2,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^3+2)/x^6/(x^6+4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1615,-1,0,0,0.000000," ","integrate((x^6-a*x^3+b)/x^6/(a*x^4+b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1616,-1,0,0,0.000000," ","integrate((a*x^6-b)/x^6/(a*x^4+b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1617,-1,0,0,0.000000," ","integrate((a*x^6+b)/x^6/(a*x^4+b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1618,-1,0,0,0.000000," ","integrate((2*a*x^5-3*b)/(2*a*x^5+x^3+2*b)/(a*x^6+b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1619,-1,0,0,0.000000," ","integrate(1/(a^3*x^3+b^2*x^2)^(1/3)/(a^6*x^6+2*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1620,-1,0,0,0.000000," ","integrate(1/(a^3*x^3+b^2*x^2)^(1/3)/(a^6*x^6+2*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1621,1,146,0,0.618946," ","integrate((x^4-1)*(x^8+x^6+3*x^4+x^2+1)/(x^4+x^2+1)^(3/2)/(x^8+3*x^6+5*x^4+3*x^2+1),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} {\left(x^{4} + x^{2} + 1\right)} \arctan\left(\frac{\sqrt{3} \sqrt{x^{4} + x^{2} + 1} {\left(x^{4} + 1\right)}}{3 \, {\left(x^{5} + x^{3} + x\right)}}\right) - 3 \, {\left(x^{4} + x^{2} + 1\right)} \log\left(\frac{x^{8} + 5 \, x^{6} + 7 \, x^{4} + 5 \, x^{2} - 2 \, {\left(x^{5} + 2 \, x^{3} + x\right)} \sqrt{x^{4} + x^{2} + 1} + 1}{x^{8} + 3 \, x^{6} + 5 \, x^{4} + 3 \, x^{2} + 1}\right) + 6 \, \sqrt{x^{4} + x^{2} + 1} x}{6 \, {\left(x^{4} + x^{2} + 1\right)}}"," ",0,"-1/6*(2*sqrt(3)*(x^4 + x^2 + 1)*arctan(1/3*sqrt(3)*sqrt(x^4 + x^2 + 1)*(x^4 + 1)/(x^5 + x^3 + x)) - 3*(x^4 + x^2 + 1)*log((x^8 + 5*x^6 + 7*x^4 + 5*x^2 - 2*(x^5 + 2*x^3 + x)*sqrt(x^4 + x^2 + 1) + 1)/(x^8 + 3*x^6 + 5*x^4 + 3*x^2 + 1)) + 6*sqrt(x^4 + x^2 + 1)*x)/(x^4 + x^2 + 1)","A",0
1622,1,1032,0,0.788774," ","integrate((a*x^8-b)/(a*x^4+b)^(1/4)/(a*x^8+b),x, algorithm=""fricas"")","-\left(\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} + 1}{a + b}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(x \sqrt{-\frac{{\left({\left(a^{2} + a b\right)} x^{2} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} - a x^{2}\right)} \sqrt{\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} + 1}{a + b}} - \sqrt{a x^{4} + b}}{x^{2}}} - {\left(a x^{4} + b\right)}^{\frac{1}{4}}\right)} \left(\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} + 1}{a + b}\right)^{\frac{1}{4}}}{x}\right) - \left(-\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} - 1}{a + b}\right)^{\frac{1}{4}} \arctan\left(\frac{x \left(-\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} - 1}{a + b}\right)^{\frac{1}{4}} \sqrt{\frac{{\left({\left(a^{2} + a b\right)} x^{2} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} + a x^{2}\right)} \sqrt{-\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} - 1}{a + b}} + \sqrt{a x^{4} + b}}{x^{2}}} - {\left(a x^{4} + b\right)}^{\frac{1}{4}} \left(-\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} - 1}{a + b}\right)^{\frac{1}{4}}}{x}\right) + \frac{1}{4} \, \left(\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} + 1}{a + b}\right)^{\frac{1}{4}} \log\left(\frac{{\left({\left(a^{2} + a b\right)} x \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} - a x\right)} \left(\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} + 1}{a + b}\right)^{\frac{3}{4}} + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{4} \, \left(\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} + 1}{a + b}\right)^{\frac{1}{4}} \log\left(-\frac{{\left({\left(a^{2} + a b\right)} x \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} - a x\right)} \left(\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} + 1}{a + b}\right)^{\frac{3}{4}} - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{4} \, \left(-\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} - 1}{a + b}\right)^{\frac{1}{4}} \log\left(\frac{{\left({\left(a^{2} + a b\right)} x \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} + a x\right)} \left(-\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} - 1}{a + b}\right)^{\frac{3}{4}} + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{4} \, \left(-\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} - 1}{a + b}\right)^{\frac{1}{4}} \log\left(-\frac{{\left({\left(a^{2} + a b\right)} x \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} + a x\right)} \left(-\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} - 1}{a + b}\right)^{\frac{3}{4}} - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right) + \frac{\arctan\left(\frac{\frac{x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} + b}}{x^{2}}}}{a^{\frac{1}{4}}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}}{x}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{4 \, a^{\frac{1}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{4 \, a^{\frac{1}{4}}}"," ",0,"-(((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) + 1)/(a + b))^(1/4)*arctan((x*sqrt(-(((a^2 + a*b)*x^2*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) - a*x^2)*sqrt(((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) + 1)/(a + b)) - sqrt(a*x^4 + b))/x^2) - (a*x^4 + b)^(1/4))*(((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) + 1)/(a + b))^(1/4)/x) - (-((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) - 1)/(a + b))^(1/4)*arctan((x*(-((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) - 1)/(a + b))^(1/4)*sqrt((((a^2 + a*b)*x^2*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) + a*x^2)*sqrt(-((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) - 1)/(a + b)) + sqrt(a*x^4 + b))/x^2) - (a*x^4 + b)^(1/4)*(-((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) - 1)/(a + b))^(1/4))/x) + 1/4*(((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) + 1)/(a + b))^(1/4)*log((((a^2 + a*b)*x*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) - a*x)*(((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) + 1)/(a + b))^(3/4) + (a*x^4 + b)^(1/4))/x) - 1/4*(((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) + 1)/(a + b))^(1/4)*log(-(((a^2 + a*b)*x*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) - a*x)*(((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) + 1)/(a + b))^(3/4) - (a*x^4 + b)^(1/4))/x) - 1/4*(-((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) - 1)/(a + b))^(1/4)*log((((a^2 + a*b)*x*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) + a*x)*(-((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) - 1)/(a + b))^(3/4) + (a*x^4 + b)^(1/4))/x) + 1/4*(-((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) - 1)/(a + b))^(1/4)*log(-(((a^2 + a*b)*x*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) + a*x)*(-((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) - 1)/(a + b))^(3/4) - (a*x^4 + b)^(1/4))/x) + arctan((x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 + b))/x^2)/a^(1/4) - (a*x^4 + b)^(1/4)/a^(1/4))/x)/a^(1/4) + 1/4*log((a^(1/4)*x + (a*x^4 + b)^(1/4))/x)/a^(1/4) - 1/4*log(-(a^(1/4)*x - (a*x^4 + b)^(1/4))/x)/a^(1/4)","B",0
1623,1,1032,0,0.608543," ","integrate((a*x^8-b)/(a*x^4+b)^(1/4)/(a*x^8+b),x, algorithm=""fricas"")","-\left(\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} + 1}{a + b}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(x \sqrt{-\frac{{\left({\left(a^{2} + a b\right)} x^{2} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} - a x^{2}\right)} \sqrt{\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} + 1}{a + b}} - \sqrt{a x^{4} + b}}{x^{2}}} - {\left(a x^{4} + b\right)}^{\frac{1}{4}}\right)} \left(\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} + 1}{a + b}\right)^{\frac{1}{4}}}{x}\right) - \left(-\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} - 1}{a + b}\right)^{\frac{1}{4}} \arctan\left(\frac{x \left(-\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} - 1}{a + b}\right)^{\frac{1}{4}} \sqrt{\frac{{\left({\left(a^{2} + a b\right)} x^{2} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} + a x^{2}\right)} \sqrt{-\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} - 1}{a + b}} + \sqrt{a x^{4} + b}}{x^{2}}} - {\left(a x^{4} + b\right)}^{\frac{1}{4}} \left(-\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} - 1}{a + b}\right)^{\frac{1}{4}}}{x}\right) + \frac{1}{4} \, \left(\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} + 1}{a + b}\right)^{\frac{1}{4}} \log\left(\frac{{\left({\left(a^{2} + a b\right)} x \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} - a x\right)} \left(\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} + 1}{a + b}\right)^{\frac{3}{4}} + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{4} \, \left(\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} + 1}{a + b}\right)^{\frac{1}{4}} \log\left(-\frac{{\left({\left(a^{2} + a b\right)} x \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} - a x\right)} \left(\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} + 1}{a + b}\right)^{\frac{3}{4}} - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{4} \, \left(-\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} - 1}{a + b}\right)^{\frac{1}{4}} \log\left(\frac{{\left({\left(a^{2} + a b\right)} x \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} + a x\right)} \left(-\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} - 1}{a + b}\right)^{\frac{3}{4}} + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{4} \, \left(-\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} - 1}{a + b}\right)^{\frac{1}{4}} \log\left(-\frac{{\left({\left(a^{2} + a b\right)} x \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} + a x\right)} \left(-\frac{{\left(a + b\right)} \sqrt{-\frac{b}{a^{3} + 2 \, a^{2} b + a b^{2}}} - 1}{a + b}\right)^{\frac{3}{4}} - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right) + \frac{\arctan\left(\frac{\frac{x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} + b}}{x^{2}}}}{a^{\frac{1}{4}}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}}{x}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{4 \, a^{\frac{1}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{4 \, a^{\frac{1}{4}}}"," ",0,"-(((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) + 1)/(a + b))^(1/4)*arctan((x*sqrt(-(((a^2 + a*b)*x^2*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) - a*x^2)*sqrt(((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) + 1)/(a + b)) - sqrt(a*x^4 + b))/x^2) - (a*x^4 + b)^(1/4))*(((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) + 1)/(a + b))^(1/4)/x) - (-((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) - 1)/(a + b))^(1/4)*arctan((x*(-((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) - 1)/(a + b))^(1/4)*sqrt((((a^2 + a*b)*x^2*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) + a*x^2)*sqrt(-((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) - 1)/(a + b)) + sqrt(a*x^4 + b))/x^2) - (a*x^4 + b)^(1/4)*(-((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) - 1)/(a + b))^(1/4))/x) + 1/4*(((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) + 1)/(a + b))^(1/4)*log((((a^2 + a*b)*x*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) - a*x)*(((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) + 1)/(a + b))^(3/4) + (a*x^4 + b)^(1/4))/x) - 1/4*(((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) + 1)/(a + b))^(1/4)*log(-(((a^2 + a*b)*x*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) - a*x)*(((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) + 1)/(a + b))^(3/4) - (a*x^4 + b)^(1/4))/x) - 1/4*(-((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) - 1)/(a + b))^(1/4)*log((((a^2 + a*b)*x*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) + a*x)*(-((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) - 1)/(a + b))^(3/4) + (a*x^4 + b)^(1/4))/x) + 1/4*(-((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) - 1)/(a + b))^(1/4)*log(-(((a^2 + a*b)*x*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) + a*x)*(-((a + b)*sqrt(-b/(a^3 + 2*a^2*b + a*b^2)) - 1)/(a + b))^(3/4) - (a*x^4 + b)^(1/4))/x) + arctan((x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 + b))/x^2)/a^(1/4) - (a*x^4 + b)^(1/4)/a^(1/4))/x)/a^(1/4) + 1/4*log((a^(1/4)*x + (a*x^4 + b)^(1/4))/x)/a^(1/4) - 1/4*log(-(a^(1/4)*x - (a*x^4 + b)^(1/4))/x)/a^(1/4)","B",0
1624,1,566,0,0.959628," ","integrate((2*x^5+2*x-3)*(x^6-x^2+x)^(1/2)/(x^10-x^8-3*x^6+2*x^5+x^4-x^3+x^2-2*x+1),x, algorithm=""fricas"")","-\frac{1}{5} \, \sqrt{5} \sqrt{2 \, \sqrt{5} - 2} \arctan\left(\frac{2 \, {\left(2 \, x^{6} + \sqrt{5} x^{4} + x^{4} - 2 \, x^{2} + 2 \, x\right)} \sqrt{x^{6} - x^{2} + x} \sqrt{2 \, \sqrt{5} - 2} + {\left(3 \, x^{10} + 5 \, x^{8} - 3 \, x^{6} + 6 \, x^{5} - 5 \, x^{4} + 5 \, x^{3} + 3 \, x^{2} + \sqrt{5} {\left(x^{10} + 3 \, x^{8} - x^{6} + 2 \, x^{5} - 3 \, x^{4} + 3 \, x^{3} + x^{2} - 2 \, x + 1\right)} - 6 \, x + 3\right)} \sqrt{2 \, \sqrt{5} - 2} \sqrt{\sqrt{5} - 2}}{4 \, {\left(x^{10} + x^{8} - 3 \, x^{6} + 2 \, x^{5} - x^{4} + x^{3} + x^{2} - 2 \, x + 1\right)}}\right) - \frac{1}{20} \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 2} \log\left(-\frac{4 \, {\left(3 \, x^{6} + x^{4} - 3 \, x^{2} + \sqrt{5} {\left(x^{6} + x^{4} - x^{2} + x\right)} + 3 \, x\right)} \sqrt{x^{6} - x^{2} + x} + {\left(x^{10} + 5 \, x^{8} - x^{6} + 2 \, x^{5} - 5 \, x^{4} + 5 \, x^{3} + x^{2} + \sqrt{5} {\left(x^{10} + x^{8} - x^{6} + 2 \, x^{5} - x^{4} + x^{3} + x^{2} - 2 \, x + 1\right)} - 2 \, x + 1\right)} \sqrt{2 \, \sqrt{5} + 2}}{x^{10} - x^{8} - 3 \, x^{6} + 2 \, x^{5} + x^{4} - x^{3} + x^{2} - 2 \, x + 1}\right) + \frac{1}{20} \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 2} \log\left(-\frac{4 \, {\left(3 \, x^{6} + x^{4} - 3 \, x^{2} + \sqrt{5} {\left(x^{6} + x^{4} - x^{2} + x\right)} + 3 \, x\right)} \sqrt{x^{6} - x^{2} + x} - {\left(x^{10} + 5 \, x^{8} - x^{6} + 2 \, x^{5} - 5 \, x^{4} + 5 \, x^{3} + x^{2} + \sqrt{5} {\left(x^{10} + x^{8} - x^{6} + 2 \, x^{5} - x^{4} + x^{3} + x^{2} - 2 \, x + 1\right)} - 2 \, x + 1\right)} \sqrt{2 \, \sqrt{5} + 2}}{x^{10} - x^{8} - 3 \, x^{6} + 2 \, x^{5} + x^{4} - x^{3} + x^{2} - 2 \, x + 1}\right)"," ",0,"-1/5*sqrt(5)*sqrt(2*sqrt(5) - 2)*arctan(1/4*(2*(2*x^6 + sqrt(5)*x^4 + x^4 - 2*x^2 + 2*x)*sqrt(x^6 - x^2 + x)*sqrt(2*sqrt(5) - 2) + (3*x^10 + 5*x^8 - 3*x^6 + 6*x^5 - 5*x^4 + 5*x^3 + 3*x^2 + sqrt(5)*(x^10 + 3*x^8 - x^6 + 2*x^5 - 3*x^4 + 3*x^3 + x^2 - 2*x + 1) - 6*x + 3)*sqrt(2*sqrt(5) - 2)*sqrt(sqrt(5) - 2))/(x^10 + x^8 - 3*x^6 + 2*x^5 - x^4 + x^3 + x^2 - 2*x + 1)) - 1/20*sqrt(5)*sqrt(2*sqrt(5) + 2)*log(-(4*(3*x^6 + x^4 - 3*x^2 + sqrt(5)*(x^6 + x^4 - x^2 + x) + 3*x)*sqrt(x^6 - x^2 + x) + (x^10 + 5*x^8 - x^6 + 2*x^5 - 5*x^4 + 5*x^3 + x^2 + sqrt(5)*(x^10 + x^8 - x^6 + 2*x^5 - x^4 + x^3 + x^2 - 2*x + 1) - 2*x + 1)*sqrt(2*sqrt(5) + 2))/(x^10 - x^8 - 3*x^6 + 2*x^5 + x^4 - x^3 + x^2 - 2*x + 1)) + 1/20*sqrt(5)*sqrt(2*sqrt(5) + 2)*log(-(4*(3*x^6 + x^4 - 3*x^2 + sqrt(5)*(x^6 + x^4 - x^2 + x) + 3*x)*sqrt(x^6 - x^2 + x) - (x^10 + 5*x^8 - x^6 + 2*x^5 - 5*x^4 + 5*x^3 + x^2 + sqrt(5)*(x^10 + x^8 - x^6 + 2*x^5 - x^4 + x^3 + x^2 - 2*x + 1) - 2*x + 1)*sqrt(2*sqrt(5) + 2))/(x^10 - x^8 - 3*x^6 + 2*x^5 + x^4 - x^3 + x^2 - 2*x + 1))","B",0
1625,1,87,0,2.436975," ","integrate((x+(1+x)^(1/2))^(1/2)/x^2/(1+x)^(1/2),x, algorithm=""fricas"")","-\frac{3 \, x \arctan\left(\frac{2 \, \sqrt{x + \sqrt{x + 1}} {\left(\sqrt{x + 1} - 3\right)}}{x - 8}\right) - x \log\left(\frac{2 \, \sqrt{x + \sqrt{x + 1}} {\left(\sqrt{x + 1} + 1\right)} - 3 \, x - 2 \, \sqrt{x + 1} - 2}{x}\right) + 4 \, \sqrt{x + \sqrt{x + 1}} \sqrt{x + 1}}{4 \, x}"," ",0,"-1/4*(3*x*arctan(2*sqrt(x + sqrt(x + 1))*(sqrt(x + 1) - 3)/(x - 8)) - x*log((2*sqrt(x + sqrt(x + 1))*(sqrt(x + 1) + 1) - 3*x - 2*sqrt(x + 1) - 2)/x) + 4*sqrt(x + sqrt(x + 1))*sqrt(x + 1))/x","A",0
1626,1,74,0,2.681822," ","integrate((x+(1+x)^(1/2))^(1/2)/x/(1+x)^(1/2),x, algorithm=""fricas"")","\arctan\left(\frac{2 \, \sqrt{x + \sqrt{x + 1}} {\left(\sqrt{x + 1} - 3\right)}}{x - 8}\right) + \log\left(\frac{8 \, x^{2} + 2 \, {\left({\left(4 \, x - 1\right)} \sqrt{x + 1} - 2 \, x - 1\right)} \sqrt{x + \sqrt{x + 1}} - x + 2 \, \sqrt{x + 1} + 2}{x}\right)"," ",0,"arctan(2*sqrt(x + sqrt(x + 1))*(sqrt(x + 1) - 3)/(x - 8)) + log((8*x^2 + 2*((4*x - 1)*sqrt(x + 1) - 2*x - 1)*sqrt(x + sqrt(x + 1)) - x + 2*sqrt(x + 1) + 2)/x)","A",0
1627,-1,0,0,0.000000," ","integrate((a*x+(a*x-b)^(1/2))^(1/2)/(a*x-b)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1628,1,392,0,0.497093," ","integrate((1-a*x+b*(b*x+a)^(1/2))/(b*x+a)^(1/2)/(x+a*b*(b*x+a)^(1/2)),x, algorithm=""fricas"")","\left[\frac{\sqrt{a^{2} b^{4} + 4 \, a} {\left({\left(a^{3} + a\right)} b^{4} - 2 \, b\right)} \log\left(\frac{2 \, a^{3} b^{3} - 2 \, b x^{2} + {\left(a^{2} b^{4} - 4 \, a\right)} x + \sqrt{a^{2} b^{4} + 4 \, a} {\left(a b^{2} x + 2 \, a^{2} b\right)} + {\left(a^{3} b^{5} + 4 \, a^{2} b + \sqrt{a^{2} b^{4} + 4 \, a} {\left(a^{2} b^{3} - 2 \, x\right)}\right)} \sqrt{b x + a}}{a^{2} b^{3} x + a^{3} b^{2} - x^{2}}\right) + {\left({\left(a^{4} + a^{2}\right)} b^{6} + 4 \, {\left(a^{3} + a\right)} b^{2}\right)} \log\left(\sqrt{b x + a} a b + x\right) - 2 \, {\left(a^{3} b^{4} + 4 \, a^{2}\right)} \sqrt{b x + a}}{a^{2} b^{5} + 4 \, a b}, -\frac{2 \, \sqrt{-a^{2} b^{4} - 4 \, a} {\left({\left(a^{3} + a\right)} b^{4} - 2 \, b\right)} \arctan\left(\frac{\sqrt{-a^{2} b^{4} - 4 \, a} a b^{2} + 2 \, \sqrt{-a^{2} b^{4} - 4 \, a} \sqrt{b x + a}}{a^{2} b^{4} + 4 \, a}\right) - {\left({\left(a^{4} + a^{2}\right)} b^{6} + 4 \, {\left(a^{3} + a\right)} b^{2}\right)} \log\left(\sqrt{b x + a} a b + x\right) + 2 \, {\left(a^{3} b^{4} + 4 \, a^{2}\right)} \sqrt{b x + a}}{a^{2} b^{5} + 4 \, a b}\right]"," ",0,"[(sqrt(a^2*b^4 + 4*a)*((a^3 + a)*b^4 - 2*b)*log((2*a^3*b^3 - 2*b*x^2 + (a^2*b^4 - 4*a)*x + sqrt(a^2*b^4 + 4*a)*(a*b^2*x + 2*a^2*b) + (a^3*b^5 + 4*a^2*b + sqrt(a^2*b^4 + 4*a)*(a^2*b^3 - 2*x))*sqrt(b*x + a))/(a^2*b^3*x + a^3*b^2 - x^2)) + ((a^4 + a^2)*b^6 + 4*(a^3 + a)*b^2)*log(sqrt(b*x + a)*a*b + x) - 2*(a^3*b^4 + 4*a^2)*sqrt(b*x + a))/(a^2*b^5 + 4*a*b), -(2*sqrt(-a^2*b^4 - 4*a)*((a^3 + a)*b^4 - 2*b)*arctan((sqrt(-a^2*b^4 - 4*a)*a*b^2 + 2*sqrt(-a^2*b^4 - 4*a)*sqrt(b*x + a))/(a^2*b^4 + 4*a)) - ((a^4 + a^2)*b^6 + 4*(a^3 + a)*b^2)*log(sqrt(b*x + a)*a*b + x) + 2*(a^3*b^4 + 4*a^2)*sqrt(b*x + a))/(a^2*b^5 + 4*a*b)]","A",0
1629,1,213,0,39.445334," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/x^2,x, algorithm=""fricas"")","\left[\frac{\sqrt{2} x \sqrt{-\frac{a}{b}} \log\left(-\frac{a^{2} x^{3} + 4 \, a b^{2} x - 4 \, \sqrt{a x^{2} + b^{2}} a b x - 2 \, {\left(2 \, \sqrt{2} \sqrt{a x^{2} + b^{2}} b^{2} \sqrt{-\frac{a}{b}} - \sqrt{2} {\left(a b x^{2} + 2 \, b^{3}\right)} \sqrt{-\frac{a}{b}}\right)} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{x^{3}}\right) - 4 \, \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{4 \, x}, -\frac{\sqrt{2} x \sqrt{\frac{a}{b}} \arctan\left(\frac{\sqrt{2} \sqrt{b + \sqrt{a x^{2} + b^{2}}} b \sqrt{\frac{a}{b}}}{a x}\right) + 2 \, \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{2 \, x}\right]"," ",0,"[1/4*(sqrt(2)*x*sqrt(-a/b)*log(-(a^2*x^3 + 4*a*b^2*x - 4*sqrt(a*x^2 + b^2)*a*b*x - 2*(2*sqrt(2)*sqrt(a*x^2 + b^2)*b^2*sqrt(-a/b) - sqrt(2)*(a*b*x^2 + 2*b^3)*sqrt(-a/b))*sqrt(b + sqrt(a*x^2 + b^2)))/x^3) - 4*sqrt(b + sqrt(a*x^2 + b^2)))/x, -1/2*(sqrt(2)*x*sqrt(a/b)*arctan(sqrt(2)*sqrt(b + sqrt(a*x^2 + b^2))*b*sqrt(a/b)/(a*x)) + 2*sqrt(b + sqrt(a*x^2 + b^2)))/x]","A",0
1630,1,71,0,0.469946," ","integrate(1/(a^2*x^2-b*x)^(1/2)/(a*x^2+x*(a^2*x^2-b*x)^(1/2))^(3/2),x, algorithm=""fricas"")","\frac{4 \, {\left(32 \, a^{3} x^{2} + 39 \, a b x + \sqrt{a^{2} x^{2} - b x} {\left(32 \, a^{2} x - 15 \, b\right)}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x}}{105 \, b^{3} x^{3}}"," ",0,"4/105*(32*a^3*x^2 + 39*a*b*x + sqrt(a^2*x^2 - b*x)*(32*a^2*x - 15*b))*sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x)/(b^3*x^3)","A",0
1631,1,66,0,0.452379," ","integrate(1/(1+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=""fricas"")","-\sqrt{x + \sqrt{x^{2} + 1}} {\left(x - \sqrt{x^{2} + 1} - 1\right)} + \frac{1}{2} \, x - \frac{1}{2} \, \sqrt{x^{2} + 1} - 2 \, \log\left(\sqrt{x + \sqrt{x^{2} + 1}} + 1\right) + \log\left(\sqrt{x + \sqrt{x^{2} + 1}}\right)"," ",0,"-sqrt(x + sqrt(x^2 + 1))*(x - sqrt(x^2 + 1) - 1) + 1/2*x - 1/2*sqrt(x^2 + 1) - 2*log(sqrt(x + sqrt(x^2 + 1)) + 1) + log(sqrt(x + sqrt(x^2 + 1)))","A",0
1632,1,107,0,1.092805," ","integrate((-2+x)/(x^2+2)/(2*x^2+x-1)^(1/3),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{3} \arctan\left(-\frac{4 \, \sqrt{3} {\left(2 \, x^{2} + x - 1\right)}^{\frac{1}{3}} {\left(x + 1\right)} + \sqrt{3} {\left(2 \, x - 1\right)} - 2 \, \sqrt{3} {\left(2 \, x^{2} + x - 1\right)}^{\frac{2}{3}}}{8 \, x^{2} + 18 \, x + 7}\right) + \frac{1}{4} \, \log\left(\frac{x^{2} - 3 \, {\left(2 \, x^{2} + x - 1\right)}^{\frac{1}{3}} {\left(x + 1\right)} + 3 \, {\left(2 \, x^{2} + x - 1\right)}^{\frac{2}{3}} + 2}{x^{2} + 2}\right)"," ",0,"-1/2*sqrt(3)*arctan(-(4*sqrt(3)*(2*x^2 + x - 1)^(1/3)*(x + 1) + sqrt(3)*(2*x - 1) - 2*sqrt(3)*(2*x^2 + x - 1)^(2/3))/(8*x^2 + 18*x + 7)) + 1/4*log((x^2 - 3*(2*x^2 + x - 1)^(1/3)*(x + 1) + 3*(2*x^2 + x - 1)^(2/3) + 2)/(x^2 + 2))","A",0
1633,-1,0,0,0.000000," ","integrate((-a+x)*(-b+x)*(-2*a*b+(a+b)*x)/(x^2*(-a+x)*(-b+x))^(3/4)/(-a*b+(a+b)*x+(-1+d)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1634,1,229,0,0.710189," ","integrate((x^2-x+1)/(x^2+2*x-2)/(x^3+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{3} \sqrt{2 \, \sqrt{3} + 3} \arctan\left(\frac{\sqrt{x^{3} + 1} \sqrt{2 \, \sqrt{3} + 3}}{x^{2} - x + 1}\right) - \frac{1}{24} \, \sqrt{3} \sqrt{2 \, \sqrt{3} - 3} \log\left(\frac{x^{4} - 2 \, x^{3} + 6 \, x^{2} + 2 \, \sqrt{x^{3} + 1} {\left(x^{2} + 2 \, \sqrt{3} {\left(x + 1\right)} + 2 \, x + 4\right)} \sqrt{2 \, \sqrt{3} - 3} + 4 \, \sqrt{3} {\left(x^{3} + 1\right)} + 4 \, x + 4}{x^{4} + 4 \, x^{3} - 8 \, x + 4}\right) + \frac{1}{24} \, \sqrt{3} \sqrt{2 \, \sqrt{3} - 3} \log\left(\frac{x^{4} - 2 \, x^{3} + 6 \, x^{2} - 2 \, \sqrt{x^{3} + 1} {\left(x^{2} + 2 \, \sqrt{3} {\left(x + 1\right)} + 2 \, x + 4\right)} \sqrt{2 \, \sqrt{3} - 3} + 4 \, \sqrt{3} {\left(x^{3} + 1\right)} + 4 \, x + 4}{x^{4} + 4 \, x^{3} - 8 \, x + 4}\right)"," ",0,"-1/6*sqrt(3)*sqrt(2*sqrt(3) + 3)*arctan(sqrt(x^3 + 1)*sqrt(2*sqrt(3) + 3)/(x^2 - x + 1)) - 1/24*sqrt(3)*sqrt(2*sqrt(3) - 3)*log((x^4 - 2*x^3 + 6*x^2 + 2*sqrt(x^3 + 1)*(x^2 + 2*sqrt(3)*(x + 1) + 2*x + 4)*sqrt(2*sqrt(3) - 3) + 4*sqrt(3)*(x^3 + 1) + 4*x + 4)/(x^4 + 4*x^3 - 8*x + 4)) + 1/24*sqrt(3)*sqrt(2*sqrt(3) - 3)*log((x^4 - 2*x^3 + 6*x^2 - 2*sqrt(x^3 + 1)*(x^2 + 2*sqrt(3)*(x + 1) + 2*x + 4)*sqrt(2*sqrt(3) - 3) + 4*sqrt(3)*(x^3 + 1) + 4*x + 4)/(x^4 + 4*x^3 - 8*x + 4))","B",0
1635,1,119,0,0.519011," ","integrate((-1+x)/x/(x^3-x^2)^(1/3),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x^{2} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) + 2 \, x^{2} \log\left(-\frac{x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) - x^{2} \log\left(\frac{x^{2} + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) + 3 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{2 \, x^{2}}"," ",0,"-1/2*(2*sqrt(3)*x^2*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 - x^2)^(1/3))/x) + 2*x^2*log(-(x - (x^3 - x^2)^(1/3))/x) - x^2*log((x^2 + (x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(2/3))/x^2) + 3*(x^3 - x^2)^(2/3))/x^2","A",0
1636,1,119,0,0.468456," ","integrate((1+x)/x/(x^3-x^2)^(1/3),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x^{2} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) + 2 \, x^{2} \log\left(-\frac{x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) - x^{2} \log\left(\frac{x^{2} + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - 3 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{2 \, x^{2}}"," ",0,"-1/2*(2*sqrt(3)*x^2*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 - x^2)^(1/3))/x) + 2*x^2*log(-(x - (x^3 - x^2)^(1/3))/x) - x^2*log((x^2 + (x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(2/3))/x^2) - 3*(x^3 - x^2)^(2/3))/x^2","A",0
1637,1,108,0,0.472741," ","integrate(x^2/(x^3+x^2)^(1/3),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{3} x \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) + 4 \, x \log\left(-\frac{x - {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) - 2 \, x \log\left(\frac{x^{2} + {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - 3 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}} {\left(3 \, x - 4\right)}}{18 \, x}"," ",0,"-1/18*(4*sqrt(3)*x*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + x^2)^(1/3))/x) + 4*x*log(-(x - (x^3 + x^2)^(1/3))/x) - 2*x*log((x^2 + (x^3 + x^2)^(1/3)*x + (x^3 + x^2)^(2/3))/x^2) - 3*(x^3 + x^2)^(2/3)*(3*x - 4))/x","A",0
1638,-1,0,0,0.000000," ","integrate((a-3*b+2*x)*(-a^3+3*a^2*x-3*a*x^2+x^3)/(-b+x)/((-a+x)*(-b+x))^(1/4)/(-a^3+b*d-(-3*a^2+d)*x-3*a*x^2+x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1639,-1,0,0,0.000000," ","integrate(x^3*(3-2*(1+k)*x+k*x^2)/(-1+x)/((1-x)*x*(-k*x+1))^(1/4)/(k*x-1)/(-d+d*(1+k)*x-d*k*x^2+x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1640,1,133,0,2.037512," ","integrate((x^3+2)*(2*x^3+1)^(2/3)/x^6/(x^3+1),x, algorithm=""fricas"")","-\frac{10 \, \sqrt{3} x^{5} \arctan\left(-\frac{4 \, \sqrt{3} {\left(2 \, x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 2 \, \sqrt{3} {\left(2 \, x^{3} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(2 \, x^{3} + 1\right)}}{10 \, x^{3} + 1}\right) - 5 \, x^{5} \log\left(\frac{x^{3} + 3 \, {\left(2 \, x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(2 \, x^{3} + 1\right)}^{\frac{2}{3}} x + 1}{x^{3} + 1}\right) + 3 \, {\left(3 \, x^{3} + 4\right)} {\left(2 \, x^{3} + 1\right)}^{\frac{2}{3}}}{30 \, x^{5}}"," ",0,"-1/30*(10*sqrt(3)*x^5*arctan(-(4*sqrt(3)*(2*x^3 + 1)^(1/3)*x^2 - 2*sqrt(3)*(2*x^3 + 1)^(2/3)*x + sqrt(3)*(2*x^3 + 1))/(10*x^3 + 1)) - 5*x^5*log((x^3 + 3*(2*x^3 + 1)^(1/3)*x^2 - 3*(2*x^3 + 1)^(2/3)*x + 1)/(x^3 + 1)) + 3*(3*x^3 + 4)*(2*x^3 + 1)^(2/3))/x^5","A",0
1641,-1,0,0,0.000000," ","integrate((3*a*b^2-2*b*(2*a+b)*x+(a+2*b)*x^2)/(x*(-a+x)*(-b+x)^2)^(1/4)/(-a*b^2*d+b*(2*a+b)*d*x-(a+2*b)*d*x^2+(-1+d)*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1642,1,693,0,0.662026," ","integrate((c*x+d)*(a*x^4-b*x^3)^(1/4)/x^2,x, algorithm=""fricas"")","-\frac{4 \, x \left(\frac{b^{4} c^{4} - 16 \, a b^{3} c^{3} d + 96 \, a^{2} b^{2} c^{2} d^{2} - 256 \, a^{3} b c d^{3} + 256 \, a^{4} d^{4}}{a^{3}}\right)^{\frac{1}{4}} \arctan\left(\frac{a^{2} x \sqrt{\frac{a^{2} x^{2} \sqrt{\frac{b^{4} c^{4} - 16 \, a b^{3} c^{3} d + 96 \, a^{2} b^{2} c^{2} d^{2} - 256 \, a^{3} b c d^{3} + 256 \, a^{4} d^{4}}{a^{3}}} + \sqrt{a x^{4} - b x^{3}} {\left(b^{2} c^{2} - 8 \, a b c d + 16 \, a^{2} d^{2}\right)}}{x^{2}}} \left(\frac{b^{4} c^{4} - 16 \, a b^{3} c^{3} d + 96 \, a^{2} b^{2} c^{2} d^{2} - 256 \, a^{3} b c d^{3} + 256 \, a^{4} d^{4}}{a^{3}}\right)^{\frac{3}{4}} + {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} {\left(a^{2} b c - 4 \, a^{3} d\right)} \left(\frac{b^{4} c^{4} - 16 \, a b^{3} c^{3} d + 96 \, a^{2} b^{2} c^{2} d^{2} - 256 \, a^{3} b c d^{3} + 256 \, a^{4} d^{4}}{a^{3}}\right)^{\frac{3}{4}}}{{\left(b^{4} c^{4} - 16 \, a b^{3} c^{3} d + 96 \, a^{2} b^{2} c^{2} d^{2} - 256 \, a^{3} b c d^{3} + 256 \, a^{4} d^{4}\right)} x}\right) + x \left(\frac{b^{4} c^{4} - 16 \, a b^{3} c^{3} d + 96 \, a^{2} b^{2} c^{2} d^{2} - 256 \, a^{3} b c d^{3} + 256 \, a^{4} d^{4}}{a^{3}}\right)^{\frac{1}{4}} \log\left(-\frac{a x \left(\frac{b^{4} c^{4} - 16 \, a b^{3} c^{3} d + 96 \, a^{2} b^{2} c^{2} d^{2} - 256 \, a^{3} b c d^{3} + 256 \, a^{4} d^{4}}{a^{3}}\right)^{\frac{1}{4}} + {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} {\left(b c - 4 \, a d\right)}}{x}\right) - x \left(\frac{b^{4} c^{4} - 16 \, a b^{3} c^{3} d + 96 \, a^{2} b^{2} c^{2} d^{2} - 256 \, a^{3} b c d^{3} + 256 \, a^{4} d^{4}}{a^{3}}\right)^{\frac{1}{4}} \log\left(\frac{a x \left(\frac{b^{4} c^{4} - 16 \, a b^{3} c^{3} d + 96 \, a^{2} b^{2} c^{2} d^{2} - 256 \, a^{3} b c d^{3} + 256 \, a^{4} d^{4}}{a^{3}}\right)^{\frac{1}{4}} - {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} {\left(b c - 4 \, a d\right)}}{x}\right) - 4 \, {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} {\left(c x - 4 \, d\right)}}{4 \, x}"," ",0,"-1/4*(4*x*((b^4*c^4 - 16*a*b^3*c^3*d + 96*a^2*b^2*c^2*d^2 - 256*a^3*b*c*d^3 + 256*a^4*d^4)/a^3)^(1/4)*arctan((a^2*x*sqrt((a^2*x^2*sqrt((b^4*c^4 - 16*a*b^3*c^3*d + 96*a^2*b^2*c^2*d^2 - 256*a^3*b*c*d^3 + 256*a^4*d^4)/a^3) + sqrt(a*x^4 - b*x^3)*(b^2*c^2 - 8*a*b*c*d + 16*a^2*d^2))/x^2)*((b^4*c^4 - 16*a*b^3*c^3*d + 96*a^2*b^2*c^2*d^2 - 256*a^3*b*c*d^3 + 256*a^4*d^4)/a^3)^(3/4) + (a*x^4 - b*x^3)^(1/4)*(a^2*b*c - 4*a^3*d)*((b^4*c^4 - 16*a*b^3*c^3*d + 96*a^2*b^2*c^2*d^2 - 256*a^3*b*c*d^3 + 256*a^4*d^4)/a^3)^(3/4))/((b^4*c^4 - 16*a*b^3*c^3*d + 96*a^2*b^2*c^2*d^2 - 256*a^3*b*c*d^3 + 256*a^4*d^4)*x)) + x*((b^4*c^4 - 16*a*b^3*c^3*d + 96*a^2*b^2*c^2*d^2 - 256*a^3*b*c*d^3 + 256*a^4*d^4)/a^3)^(1/4)*log(-(a*x*((b^4*c^4 - 16*a*b^3*c^3*d + 96*a^2*b^2*c^2*d^2 - 256*a^3*b*c*d^3 + 256*a^4*d^4)/a^3)^(1/4) + (a*x^4 - b*x^3)^(1/4)*(b*c - 4*a*d))/x) - x*((b^4*c^4 - 16*a*b^3*c^3*d + 96*a^2*b^2*c^2*d^2 - 256*a^3*b*c*d^3 + 256*a^4*d^4)/a^3)^(1/4)*log((a*x*((b^4*c^4 - 16*a*b^3*c^3*d + 96*a^2*b^2*c^2*d^2 - 256*a^3*b*c*d^3 + 256*a^4*d^4)/a^3)^(1/4) - (a*x^4 - b*x^3)^(1/4)*(b*c - 4*a*d))/x) - 4*(a*x^4 - b*x^3)^(1/4)*(c*x - 4*d))/x","B",0
1643,1,136,0,5.685313," ","integrate((x^5+3)*(x^5+x^3-2)^(1/3)/x^2/(x^5-2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x \arctan\left(-\frac{240779826 \, \sqrt{3} {\left(x^{5} + x^{3} - 2\right)}^{\frac{1}{3}} x^{2} - 64389332 \, \sqrt{3} {\left(x^{5} + x^{3} - 2\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(18550880 \, x^{5} + 88195247 \, x^{3} - 37101760\right)}}{3 \, {\left(2863288 \, x^{5} + 152584579 \, x^{3} - 5726576\right)}}\right) + x \log\left(\frac{x^{5} + 3 \, {\left(x^{5} + x^{3} - 2\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{5} + x^{3} - 2\right)}^{\frac{2}{3}} x - 2}{x^{5} - 2}\right) + 6 \, {\left(x^{5} + x^{3} - 2\right)}^{\frac{1}{3}}}{4 \, x}"," ",0,"1/4*(2*sqrt(3)*x*arctan(-1/3*(240779826*sqrt(3)*(x^5 + x^3 - 2)^(1/3)*x^2 - 64389332*sqrt(3)*(x^5 + x^3 - 2)^(2/3)*x + sqrt(3)*(18550880*x^5 + 88195247*x^3 - 37101760))/(2863288*x^5 + 152584579*x^3 - 5726576)) + x*log((x^5 + 3*(x^5 + x^3 - 2)^(1/3)*x^2 - 3*(x^5 + x^3 - 2)^(2/3)*x - 2)/(x^5 - 2)) + 6*(x^5 + x^3 - 2)^(1/3))/x","A",0
1644,1,141,0,7.715417," ","integrate((x^5-3)*(x^5+x^3+2)^(2/3)/x^3/(x^5+2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x^{2} \arctan\left(-\frac{240779826 \, \sqrt{3} {\left(x^{5} + x^{3} + 2\right)}^{\frac{1}{3}} x^{2} - 64389332 \, \sqrt{3} {\left(x^{5} + x^{3} + 2\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(18550880 \, x^{5} + 88195247 \, x^{3} + 37101760\right)}}{3 \, {\left(2863288 \, x^{5} + 152584579 \, x^{3} + 5726576\right)}}\right) - x^{2} \log\left(\frac{x^{5} + 3 \, {\left(x^{5} + x^{3} + 2\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{5} + x^{3} + 2\right)}^{\frac{2}{3}} x + 2}{x^{5} + 2}\right) - 3 \, {\left(x^{5} + x^{3} + 2\right)}^{\frac{2}{3}}}{4 \, x^{2}}"," ",0,"-1/4*(2*sqrt(3)*x^2*arctan(-1/3*(240779826*sqrt(3)*(x^5 + x^3 + 2)^(1/3)*x^2 - 64389332*sqrt(3)*(x^5 + x^3 + 2)^(2/3)*x + sqrt(3)*(18550880*x^5 + 88195247*x^3 + 37101760))/(2863288*x^5 + 152584579*x^3 + 5726576)) - x^2*log((x^5 + 3*(x^5 + x^3 + 2)^(1/3)*x^2 - 3*(x^5 + x^3 + 2)^(2/3)*x + 2)/(x^5 + 2)) - 3*(x^5 + x^3 + 2)^(2/3))/x^2","A",0
1645,1,116,0,0.714114," ","integrate((x^6-1)^(1/3)*(x^6+1)/x^9,x, algorithm=""fricas"")","-\frac{4 \, \sqrt{3} x^{8} \arctan\left(-\frac{25382 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{4} - 13720 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{2}{3}} x^{2} + \sqrt{3} {\left(5831 \, x^{6} - 7200\right)}}{58653 \, x^{6} - 8000}\right) + 2 \, x^{8} \log\left(-3 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{4} + 3 \, {\left(x^{6} - 1\right)}^{\frac{2}{3}} x^{2} + 1\right) + 3 \, {\left(3 \, x^{6} + 1\right)} {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{24 \, x^{8}}"," ",0,"-1/24*(4*sqrt(3)*x^8*arctan(-(25382*sqrt(3)*(x^6 - 1)^(1/3)*x^4 - 13720*sqrt(3)*(x^6 - 1)^(2/3)*x^2 + sqrt(3)*(5831*x^6 - 7200))/(58653*x^6 - 8000)) + 2*x^8*log(-3*(x^6 - 1)^(1/3)*x^4 + 3*(x^6 - 1)^(2/3)*x^2 + 1) + 3*(3*x^6 + 1)*(x^6 - 1)^(1/3))/x^8","A",0
1646,-1,0,0,0.000000," ","integrate(1/(a^3*x^3+b^2*x^2)^(1/3)/(a^6*x^6-2*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1647,-1,0,0,0.000000," ","integrate(1/(a^3*x^3+b^2*x^2)^(1/3)/(a^6*x^6-2*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1648,1,503,0,7.350676," ","integrate(1/(x^20+3*x^16+2*x^12-2*x^8-3*x^4-1)^(1/4),x, algorithm=""fricas"")","-\frac{1}{4} \cdot 2^{\frac{3}{4}} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{20} + 3 \, x^{16} + 2 \, x^{12} - 2 \, x^{8} - 3 \, x^{4} - 1\right)}^{\frac{1}{4}} {\left(x^{11} + 2 \, x^{7} + x^{3}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{20} + 3 \, x^{16} + 2 \, x^{12} - 2 \, x^{8} - 3 \, x^{4} - 1\right)}^{\frac{3}{4}} x + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{20} + 3 \, x^{16} + 2 \, x^{12} - 2 \, x^{8} - 3 \, x^{4} - 1} {\left(x^{6} + x^{2}\right)} + 2^{\frac{1}{4}} {\left(3 \, x^{16} + 8 \, x^{12} + 6 \, x^{8} - 1\right)}\right)}}{2 \, {\left(x^{16} + 4 \, x^{12} + 6 \, x^{8} + 4 \, x^{4} + 1\right)}}\right) + \frac{1}{16} \cdot 2^{\frac{3}{4}} \log\left(\frac{2^{\frac{3}{4}} {\left(3 \, x^{16} + 8 \, x^{12} + 6 \, x^{8} - 1\right)} + 4 \, \sqrt{2} {\left(x^{20} + 3 \, x^{16} + 2 \, x^{12} - 2 \, x^{8} - 3 \, x^{4} - 1\right)}^{\frac{1}{4}} {\left(x^{11} + 2 \, x^{7} + x^{3}\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{20} + 3 \, x^{16} + 2 \, x^{12} - 2 \, x^{8} - 3 \, x^{4} - 1} {\left(x^{6} + x^{2}\right)} + 4 \, {\left(x^{20} + 3 \, x^{16} + 2 \, x^{12} - 2 \, x^{8} - 3 \, x^{4} - 1\right)}^{\frac{3}{4}} x}{x^{16} + 4 \, x^{12} + 6 \, x^{8} + 4 \, x^{4} + 1}\right) - \frac{1}{16} \cdot 2^{\frac{3}{4}} \log\left(-\frac{2^{\frac{3}{4}} {\left(3 \, x^{16} + 8 \, x^{12} + 6 \, x^{8} - 1\right)} - 4 \, \sqrt{2} {\left(x^{20} + 3 \, x^{16} + 2 \, x^{12} - 2 \, x^{8} - 3 \, x^{4} - 1\right)}^{\frac{1}{4}} {\left(x^{11} + 2 \, x^{7} + x^{3}\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{20} + 3 \, x^{16} + 2 \, x^{12} - 2 \, x^{8} - 3 \, x^{4} - 1} {\left(x^{6} + x^{2}\right)} - 4 \, {\left(x^{20} + 3 \, x^{16} + 2 \, x^{12} - 2 \, x^{8} - 3 \, x^{4} - 1\right)}^{\frac{3}{4}} x}{x^{16} + 4 \, x^{12} + 6 \, x^{8} + 4 \, x^{4} + 1}\right)"," ",0,"-1/4*2^(3/4)*arctan(1/2*(4*2^(3/4)*(x^20 + 3*x^16 + 2*x^12 - 2*x^8 - 3*x^4 - 1)^(1/4)*(x^11 + 2*x^7 + x^3) + 4*2^(1/4)*(x^20 + 3*x^16 + 2*x^12 - 2*x^8 - 3*x^4 - 1)^(3/4)*x + 2^(3/4)*(2*2^(3/4)*sqrt(x^20 + 3*x^16 + 2*x^12 - 2*x^8 - 3*x^4 - 1)*(x^6 + x^2) + 2^(1/4)*(3*x^16 + 8*x^12 + 6*x^8 - 1)))/(x^16 + 4*x^12 + 6*x^8 + 4*x^4 + 1)) + 1/16*2^(3/4)*log((2^(3/4)*(3*x^16 + 8*x^12 + 6*x^8 - 1) + 4*sqrt(2)*(x^20 + 3*x^16 + 2*x^12 - 2*x^8 - 3*x^4 - 1)^(1/4)*(x^11 + 2*x^7 + x^3) + 4*2^(1/4)*sqrt(x^20 + 3*x^16 + 2*x^12 - 2*x^8 - 3*x^4 - 1)*(x^6 + x^2) + 4*(x^20 + 3*x^16 + 2*x^12 - 2*x^8 - 3*x^4 - 1)^(3/4)*x)/(x^16 + 4*x^12 + 6*x^8 + 4*x^4 + 1)) - 1/16*2^(3/4)*log(-(2^(3/4)*(3*x^16 + 8*x^12 + 6*x^8 - 1) - 4*sqrt(2)*(x^20 + 3*x^16 + 2*x^12 - 2*x^8 - 3*x^4 - 1)^(1/4)*(x^11 + 2*x^7 + x^3) + 4*2^(1/4)*sqrt(x^20 + 3*x^16 + 2*x^12 - 2*x^8 - 3*x^4 - 1)*(x^6 + x^2) - 4*(x^20 + 3*x^16 + 2*x^12 - 2*x^8 - 3*x^4 - 1)^(3/4)*x)/(x^16 + 4*x^12 + 6*x^8 + 4*x^4 + 1))","B",0
1649,1,84,0,0.699454," ","integrate((x^2+1)/(a*x+b)^(1/2)/(c+(a*x+b)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{4 \, {\left(128 \, c^{4} + 35 \, a^{2} x^{2} - 288 \, b c^{2} + 315 \, a^{2} + 224 \, b^{2} + 8 \, {\left(6 \, a c^{2} - 7 \, a b\right)} x - 8 \, {\left(8 \, c^{3} + 5 \, a c x - 16 \, b c\right)} \sqrt{a x + b}\right)} \sqrt{c + \sqrt{a x + b}}}{315 \, a^{3}}"," ",0,"4/315*(128*c^4 + 35*a^2*x^2 - 288*b*c^2 + 315*a^2 + 224*b^2 + 8*(6*a*c^2 - 7*a*b)*x - 8*(8*c^3 + 5*a*c*x - 16*b*c)*sqrt(a*x + b))*sqrt(c + sqrt(a*x + b))/a^3","A",0
1650,1,68,0,0.452812," ","integrate(x^2/(a^2*x^2-b)^(1/2)/(a*x+(a^2*x^2-b)^(1/2))^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(7 \, a^{3} x^{3} + 24 \, a b x - {\left(7 \, a^{2} x^{2} + 32 \, b\right)} \sqrt{a^{2} x^{2} - b}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}}}{63 \, a^{3} b}"," ",0,"-4/63*(7*a^3*x^3 + 24*a*b*x - (7*a^2*x^2 + 32*b)*sqrt(a^2*x^2 - b))*(a*x + sqrt(a^2*x^2 - b))^(3/4)/(a^3*b)","A",0
1651,1,107,0,0.643493," ","integrate(x^2*(x^3-x)^(1/3),x, algorithm=""fricas"")","\frac{1}{18} \, \sqrt{3} \arctan\left(-\frac{44032959556 \, \sqrt{3} {\left(x^{3} - x\right)}^{\frac{1}{3}} x + \sqrt{3} {\left(16754327161 \, x^{2} - 2707204793\right)} - 10524305234 \, \sqrt{3} {\left(x^{3} - x\right)}^{\frac{2}{3}}}{81835897185 \, x^{2} - 1102302937}\right) + \frac{1}{12} \, {\left(3 \, x^{3} - x\right)} {\left(x^{3} - x\right)}^{\frac{1}{3}} + \frac{1}{36} \, \log\left(-3 \, {\left(x^{3} - x\right)}^{\frac{1}{3}} x + 3 \, {\left(x^{3} - x\right)}^{\frac{2}{3}} + 1\right)"," ",0,"1/18*sqrt(3)*arctan(-(44032959556*sqrt(3)*(x^3 - x)^(1/3)*x + sqrt(3)*(16754327161*x^2 - 2707204793) - 10524305234*sqrt(3)*(x^3 - x)^(2/3))/(81835897185*x^2 - 1102302937)) + 1/12*(3*x^3 - x)*(x^3 - x)^(1/3) + 1/36*log(-3*(x^3 - x)^(1/3)*x + 3*(x^3 - x)^(2/3) + 1)","A",0
1652,1,108,0,0.654024," ","integrate(x^6*(x^3+x)^(1/3),x, algorithm=""fricas"")","\frac{5}{243} \, \sqrt{3} \arctan\left(-\frac{196 \, \sqrt{3} {\left(x^{3} + x\right)}^{\frac{1}{3}} x - \sqrt{3} {\left(539 \, x^{2} + 507\right)} - 1274 \, \sqrt{3} {\left(x^{3} + x\right)}^{\frac{2}{3}}}{2205 \, x^{2} + 2197}\right) + \frac{1}{648} \, {\left(81 \, x^{7} + 9 \, x^{5} - 12 \, x^{3} + 20 \, x\right)} {\left(x^{3} + x\right)}^{\frac{1}{3}} + \frac{5}{486} \, \log\left(3 \, {\left(x^{3} + x\right)}^{\frac{1}{3}} x - 3 \, {\left(x^{3} + x\right)}^{\frac{2}{3}} + 1\right)"," ",0,"5/243*sqrt(3)*arctan(-(196*sqrt(3)*(x^3 + x)^(1/3)*x - sqrt(3)*(539*x^2 + 507) - 1274*sqrt(3)*(x^3 + x)^(2/3))/(2205*x^2 + 2197)) + 1/648*(81*x^7 + 9*x^5 - 12*x^3 + 20*x)*(x^3 + x)^(1/3) + 5/486*log(3*(x^3 + x)^(1/3)*x - 3*(x^3 + x)^(2/3) + 1)","A",0
1653,1,508,0,18.540107," ","integrate((-3+2*x)/x/(x^4-1)^(1/4),x, algorithm=""fricas"")","-\frac{3}{4} \, \sqrt{2} \arctan\left(-\frac{x^{8} + 4 \, \sqrt{x^{4} - 1} x^{4} + 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(x^{4} - 4\right)} + 2 \, \sqrt{2} {\left(3 \, x^{4} - 4\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} - {\left(4 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{4} + 2 \, \sqrt{2} \sqrt{x^{4} - 1} {\left(x^{4} - 4\right)} + \sqrt{2} {\left(x^{8} - 10 \, x^{4} + 8\right)} + 16 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}}\right)} \sqrt{\frac{x^{4} + 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{4} - 1}}{x^{4}}}}{x^{8} - 16 \, x^{4} + 16}\right) + \frac{3}{4} \, \sqrt{2} \arctan\left(-\frac{x^{8} + 4 \, \sqrt{x^{4} - 1} x^{4} - 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(x^{4} - 4\right)} - 2 \, \sqrt{2} {\left(3 \, x^{4} - 4\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} - {\left(4 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{4} - 2 \, \sqrt{2} \sqrt{x^{4} - 1} {\left(x^{4} - 4\right)} - \sqrt{2} {\left(x^{8} - 10 \, x^{4} + 8\right)} + 16 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}}\right)} \sqrt{\frac{x^{4} - 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} - 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{4} - 1}}{x^{4}}}}{x^{8} - 16 \, x^{4} + 16}\right) + \frac{3}{16} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{4} + 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{4} - 1}\right)}}{x^{4}}\right) - \frac{3}{16} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{4} - 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} - 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{4} - 1}\right)}}{x^{4}}\right) - \frac{1}{2} \, \arctan\left(2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 2 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} x\right) + \frac{1}{2} \, \log\left(2 \, x^{4} + 2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 2 \, \sqrt{x^{4} - 1} x^{2} + 2 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} x - 1\right)"," ",0,"-3/4*sqrt(2)*arctan(-(x^8 + 4*sqrt(x^4 - 1)*x^4 + 2*sqrt(2)*(x^4 - 1)^(3/4)*(x^4 - 4) + 2*sqrt(2)*(3*x^4 - 4)*(x^4 - 1)^(1/4) - (4*(x^4 - 1)^(1/4)*x^4 + 2*sqrt(2)*sqrt(x^4 - 1)*(x^4 - 4) + sqrt(2)*(x^8 - 10*x^4 + 8) + 16*(x^4 - 1)^(3/4))*sqrt((x^4 + 2*sqrt(2)*(x^4 - 1)^(3/4) + 2*sqrt(2)*(x^4 - 1)^(1/4) + 4*sqrt(x^4 - 1))/x^4))/(x^8 - 16*x^4 + 16)) + 3/4*sqrt(2)*arctan(-(x^8 + 4*sqrt(x^4 - 1)*x^4 - 2*sqrt(2)*(x^4 - 1)^(3/4)*(x^4 - 4) - 2*sqrt(2)*(3*x^4 - 4)*(x^4 - 1)^(1/4) - (4*(x^4 - 1)^(1/4)*x^4 - 2*sqrt(2)*sqrt(x^4 - 1)*(x^4 - 4) - sqrt(2)*(x^8 - 10*x^4 + 8) + 16*(x^4 - 1)^(3/4))*sqrt((x^4 - 2*sqrt(2)*(x^4 - 1)^(3/4) - 2*sqrt(2)*(x^4 - 1)^(1/4) + 4*sqrt(x^4 - 1))/x^4))/(x^8 - 16*x^4 + 16)) + 3/16*sqrt(2)*log(4*(x^4 + 2*sqrt(2)*(x^4 - 1)^(3/4) + 2*sqrt(2)*(x^4 - 1)^(1/4) + 4*sqrt(x^4 - 1))/x^4) - 3/16*sqrt(2)*log(4*(x^4 - 2*sqrt(2)*(x^4 - 1)^(3/4) - 2*sqrt(2)*(x^4 - 1)^(1/4) + 4*sqrt(x^4 - 1))/x^4) - 1/2*arctan(2*(x^4 - 1)^(1/4)*x^3 + 2*(x^4 - 1)^(3/4)*x) + 1/2*log(2*x^4 + 2*(x^4 - 1)^(1/4)*x^3 + 2*sqrt(x^4 - 1)*x^2 + 2*(x^4 - 1)^(3/4)*x - 1)","B",0
1654,1,137,0,2.170629," ","integrate((-x^4+x^3-1)^(1/3)*(x^4-3)/x^2/(x^4+1),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x \arctan\left(\frac{\sqrt{3} x^{3} - 2 \, \sqrt{3} {\left(-x^{4} + x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 4 \, \sqrt{3} {\left(-x^{4} + x^{3} - 1\right)}^{\frac{2}{3}} x}{8 \, x^{4} - 9 \, x^{3} + 8}\right) - x \log\left(\frac{x^{4} - 3 \, {\left(-x^{4} + x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(-x^{4} + x^{3} - 1\right)}^{\frac{2}{3}} x + 1}{x^{4} + 1}\right) - 6 \, {\left(-x^{4} + x^{3} - 1\right)}^{\frac{1}{3}}}{2 \, x}"," ",0,"-1/2*(2*sqrt(3)*x*arctan((sqrt(3)*x^3 - 2*sqrt(3)*(-x^4 + x^3 - 1)^(1/3)*x^2 + 4*sqrt(3)*(-x^4 + x^3 - 1)^(2/3)*x)/(8*x^4 - 9*x^3 + 8)) - x*log((x^4 - 3*(-x^4 + x^3 - 1)^(1/3)*x^2 + 3*(-x^4 + x^3 - 1)^(2/3)*x + 1)/(x^4 + 1)) - 6*(-x^4 + x^3 - 1)^(1/3))/x","A",0
1655,1,247,0,1.779378," ","integrate(x^3*(x^4-x)^(1/2)/(a*x^3-b),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{x^{4} - x} a x - {\left(a - 2 \, b\right)} \log\left(-2 \, x^{3} - 2 \, \sqrt{x^{4} - x} x + 1\right) + \sqrt{-a b + b^{2}} \log\left(-\frac{{\left(a^{2} - 8 \, a b + 8 \, b^{2}\right)} x^{6} + 2 \, {\left(3 \, a b - 4 \, b^{2}\right)} x^{3} + 4 \, {\left({\left(a - 2 \, b\right)} x^{4} + b x\right)} \sqrt{x^{4} - x} \sqrt{-a b + b^{2}} + b^{2}}{a^{2} x^{6} - 2 \, a b x^{3} + b^{2}}\right)}{6 \, a^{2}}, \frac{2 \, \sqrt{x^{4} - x} a x - {\left(a - 2 \, b\right)} \log\left(-2 \, x^{3} - 2 \, \sqrt{x^{4} - x} x + 1\right) + 2 \, \sqrt{a b - b^{2}} \arctan\left(-\frac{2 \, \sqrt{x^{4} - x} \sqrt{a b - b^{2}} x}{{\left(a - 2 \, b\right)} x^{3} + b}\right)}{6 \, a^{2}}\right]"," ",0,"[1/6*(2*sqrt(x^4 - x)*a*x - (a - 2*b)*log(-2*x^3 - 2*sqrt(x^4 - x)*x + 1) + sqrt(-a*b + b^2)*log(-((a^2 - 8*a*b + 8*b^2)*x^6 + 2*(3*a*b - 4*b^2)*x^3 + 4*((a - 2*b)*x^4 + b*x)*sqrt(x^4 - x)*sqrt(-a*b + b^2) + b^2)/(a^2*x^6 - 2*a*b*x^3 + b^2)))/a^2, 1/6*(2*sqrt(x^4 - x)*a*x - (a - 2*b)*log(-2*x^3 - 2*sqrt(x^4 - x)*x + 1) + 2*sqrt(a*b - b^2)*arctan(-2*sqrt(x^4 - x)*sqrt(a*b - b^2)*x/((a - 2*b)*x^3 + b)))/a^2]","A",0
1656,1,351,0,17.245047," ","integrate((2*x^4+1)/(x^4-1)/(x^4+x^2)^(1/4),x, algorithm=""fricas"")","\frac{12 \cdot 2^{\frac{3}{4}} {\left(x^{3} + x\right)} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{4} + x^{2}} x + 2^{\frac{1}{4}} {\left(3 \, x^{3} + x\right)}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{3} - x\right)}}\right) - 3 \cdot 2^{\frac{3}{4}} {\left(x^{3} + x\right)} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(3 \, x^{3} + x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{4} + x^{2}} x + 4 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{x^{3} - x}\right) + 3 \cdot 2^{\frac{3}{4}} {\left(x^{3} + x\right)} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(3 \, x^{3} + x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{4} + x^{2}} x + 4 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{x^{3} - x}\right) + 16 \, {\left(x^{3} + x\right)} \arctan\left(\frac{2 \, {\left({\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x^{2} + {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x}\right) + 16 \, {\left(x^{3} + x\right)} \log\left(\frac{2 \, x^{3} + 2 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \, \sqrt{x^{4} + x^{2}} x + x + 2 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{x}\right) - 48 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{16 \, {\left(x^{3} + x\right)}}"," ",0,"1/16*(12*2^(3/4)*(x^3 + x)*arctan(1/2*(4*2^(3/4)*(x^4 + x^2)^(1/4)*x^2 + 2^(3/4)*(2*2^(3/4)*sqrt(x^4 + x^2)*x + 2^(1/4)*(3*x^3 + x)) + 4*2^(1/4)*(x^4 + x^2)^(3/4))/(x^3 - x)) - 3*2^(3/4)*(x^3 + x)*log((4*sqrt(2)*(x^4 + x^2)^(1/4)*x^2 + 2^(3/4)*(3*x^3 + x) + 4*2^(1/4)*sqrt(x^4 + x^2)*x + 4*(x^4 + x^2)^(3/4))/(x^3 - x)) + 3*2^(3/4)*(x^3 + x)*log((4*sqrt(2)*(x^4 + x^2)^(1/4)*x^2 - 2^(3/4)*(3*x^3 + x) - 4*2^(1/4)*sqrt(x^4 + x^2)*x + 4*(x^4 + x^2)^(3/4))/(x^3 - x)) + 16*(x^3 + x)*arctan(2*((x^4 + x^2)^(1/4)*x^2 + (x^4 + x^2)^(3/4))/x) + 16*(x^3 + x)*log((2*x^3 + 2*(x^4 + x^2)^(1/4)*x^2 + 2*sqrt(x^4 + x^2)*x + x + 2*(x^4 + x^2)^(3/4))/x) - 48*(x^4 + x^2)^(3/4))/(x^3 + x)","B",0
1657,1,504,0,77.997978," ","integrate((a*x^2+b)/x^2/(a*x^2-b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\frac{12 \, \left(\frac{1}{2}\right)^{\frac{1}{4}} b x^{3} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} \arctan\left(\frac{2 \, {\left(2 \, \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} a^{4} b x^{2} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} + 2 \, \left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(a x^{4} + b x^{2}\right)}^{\frac{3}{4}} a^{2} b^{3} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{3}{4}} + {\left(2 \, \left(\frac{1}{2}\right)^{\frac{1}{4}} \sqrt{a x^{4} + b x^{2}} a^{2} b x \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} + \left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(3 \, a b^{3} x^{3} + b^{4} x\right)} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{3}{4}}\right)} \sqrt{\sqrt{\frac{1}{2}} a^{2} b^{2} \sqrt{\frac{a^{3}}{b^{4}}}}\right)}}{a^{5} x^{3} - a^{4} b x}\right) - 3 \, \left(\frac{1}{2}\right)^{\frac{1}{4}} b x^{3} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} \log\left(\frac{4 \, \sqrt{\frac{1}{2}} {\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} a b^{2} x^{2} \sqrt{\frac{a^{3}}{b^{4}}} + 4 \, \left(\frac{1}{2}\right)^{\frac{3}{4}} \sqrt{a x^{4} + b x^{2}} b^{3} x \left(\frac{a^{3}}{b^{4}}\right)^{\frac{3}{4}} + 2 \, {\left(a x^{4} + b x^{2}\right)}^{\frac{3}{4}} a^{2} + \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(3 \, a^{2} b x^{3} + a b^{2} x\right)} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}}}{a x^{3} - b x}\right) + 3 \, \left(\frac{1}{2}\right)^{\frac{1}{4}} b x^{3} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} \log\left(\frac{4 \, \sqrt{\frac{1}{2}} {\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} a b^{2} x^{2} \sqrt{\frac{a^{3}}{b^{4}}} - 4 \, \left(\frac{1}{2}\right)^{\frac{3}{4}} \sqrt{a x^{4} + b x^{2}} b^{3} x \left(\frac{a^{3}}{b^{4}}\right)^{\frac{3}{4}} + 2 \, {\left(a x^{4} + b x^{2}\right)}^{\frac{3}{4}} a^{2} - \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(3 \, a^{2} b x^{3} + a b^{2} x\right)} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}}}{a x^{3} - b x}\right) + 4 \, {\left(a x^{4} + b x^{2}\right)}^{\frac{3}{4}}}{6 \, b x^{3}}"," ",0,"1/6*(12*(1/2)^(1/4)*b*x^3*(a^3/b^4)^(1/4)*arctan(2*(2*(1/2)^(1/4)*(a*x^4 + b*x^2)^(1/4)*a^4*b*x^2*(a^3/b^4)^(1/4) + 2*(1/2)^(3/4)*(a*x^4 + b*x^2)^(3/4)*a^2*b^3*(a^3/b^4)^(3/4) + (2*(1/2)^(1/4)*sqrt(a*x^4 + b*x^2)*a^2*b*x*(a^3/b^4)^(1/4) + (1/2)^(3/4)*(3*a*b^3*x^3 + b^4*x)*(a^3/b^4)^(3/4))*sqrt(sqrt(1/2)*a^2*b^2*sqrt(a^3/b^4)))/(a^5*x^3 - a^4*b*x)) - 3*(1/2)^(1/4)*b*x^3*(a^3/b^4)^(1/4)*log((4*sqrt(1/2)*(a*x^4 + b*x^2)^(1/4)*a*b^2*x^2*sqrt(a^3/b^4) + 4*(1/2)^(3/4)*sqrt(a*x^4 + b*x^2)*b^3*x*(a^3/b^4)^(3/4) + 2*(a*x^4 + b*x^2)^(3/4)*a^2 + (1/2)^(1/4)*(3*a^2*b*x^3 + a*b^2*x)*(a^3/b^4)^(1/4))/(a*x^3 - b*x)) + 3*(1/2)^(1/4)*b*x^3*(a^3/b^4)^(1/4)*log((4*sqrt(1/2)*(a*x^4 + b*x^2)^(1/4)*a*b^2*x^2*sqrt(a^3/b^4) - 4*(1/2)^(3/4)*sqrt(a*x^4 + b*x^2)*b^3*x*(a^3/b^4)^(3/4) + 2*(a*x^4 + b*x^2)^(3/4)*a^2 - (1/2)^(1/4)*(3*a^2*b*x^3 + a*b^2*x)*(a^3/b^4)^(1/4))/(a*x^3 - b*x)) + 4*(a*x^4 + b*x^2)^(3/4))/(b*x^3)","B",0
1658,1,253,0,0.463427," ","integrate(x*(a*x^4+b*x^3)^(1/4),x, algorithm=""fricas"")","-\frac{84 \, a^{2} \left(\frac{b^{12}}{a^{11}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} a^{8} b^{3} \left(\frac{b^{12}}{a^{11}}\right)^{\frac{3}{4}} - a^{8} \left(\frac{b^{12}}{a^{11}}\right)^{\frac{3}{4}} x \sqrt{\frac{a^{6} \sqrt{\frac{b^{12}}{a^{11}}} x^{2} + \sqrt{a x^{4} + b x^{3}} b^{6}}{x^{2}}}}{b^{12} x}\right) - 21 \, a^{2} \left(\frac{b^{12}}{a^{11}}\right)^{\frac{1}{4}} \log\left(\frac{7 \, {\left(a^{3} \left(\frac{b^{12}}{a^{11}}\right)^{\frac{1}{4}} x + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} b^{3}\right)}}{x}\right) + 21 \, a^{2} \left(\frac{b^{12}}{a^{11}}\right)^{\frac{1}{4}} \log\left(-\frac{7 \, {\left(a^{3} \left(\frac{b^{12}}{a^{11}}\right)^{\frac{1}{4}} x - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} b^{3}\right)}}{x}\right) - 4 \, {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(32 \, a^{2} x^{2} + 4 \, a b x - 7 \, b^{2}\right)}}{384 \, a^{2}}"," ",0,"-1/384*(84*a^2*(b^12/a^11)^(1/4)*arctan(-((a*x^4 + b*x^3)^(1/4)*a^8*b^3*(b^12/a^11)^(3/4) - a^8*(b^12/a^11)^(3/4)*x*sqrt((a^6*sqrt(b^12/a^11)*x^2 + sqrt(a*x^4 + b*x^3)*b^6)/x^2))/(b^12*x)) - 21*a^2*(b^12/a^11)^(1/4)*log(7*(a^3*(b^12/a^11)^(1/4)*x + (a*x^4 + b*x^3)^(1/4)*b^3)/x) + 21*a^2*(b^12/a^11)^(1/4)*log(-7*(a^3*(b^12/a^11)^(1/4)*x - (a*x^4 + b*x^3)^(1/4)*b^3)/x) - 4*(a*x^4 + b*x^3)^(1/4)*(32*a^2*x^2 + 4*a*b*x - 7*b^2))/a^2","B",0
1659,-1,0,0,0.000000," ","integrate((a*x^3-2*b)/(a*x^3+x^2+b)/(a*x^5+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1660,-1,0,0,0.000000," ","integrate((a*x^2-b)/(a*x^2+b+x)/(a*x^5+b*x^3)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1661,1,102,0,0.645790," ","integrate(x^13/(x^6-1)^(1/3),x, algorithm=""fricas"")","\frac{1}{36} \, {\left(3 \, x^{8} + 4 \, x^{2}\right)} {\left(x^{6} - 1\right)}^{\frac{2}{3}} - \frac{1}{27} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x^{2} + 2 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{3 \, x^{2}}\right) - \frac{1}{27} \, \log\left(-\frac{x^{2} - {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}}\right) + \frac{1}{54} \, \log\left(\frac{x^{4} + {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{2} + {\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}}\right)"," ",0,"1/36*(3*x^8 + 4*x^2)*(x^6 - 1)^(2/3) - 1/27*sqrt(3)*arctan(1/3*(sqrt(3)*x^2 + 2*sqrt(3)*(x^6 - 1)^(1/3))/x^2) - 1/27*log(-(x^2 - (x^6 - 1)^(1/3))/x^2) + 1/54*log((x^4 + (x^6 - 1)^(1/3)*x^2 + (x^6 - 1)^(2/3))/x^4)","A",0
1662,1,102,0,1.124517," ","integrate(x^9*(x^6-1)^(1/3),x, algorithm=""fricas"")","-\frac{1}{54} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x^{2} + 2 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{3 \, x^{2}}\right) + \frac{1}{36} \, {\left(3 \, x^{10} - x^{4}\right)} {\left(x^{6} - 1\right)}^{\frac{1}{3}} + \frac{1}{54} \, \log\left(-\frac{x^{2} - {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}}\right) - \frac{1}{108} \, \log\left(\frac{x^{4} + {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{2} + {\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}}\right)"," ",0,"-1/54*sqrt(3)*arctan(1/3*(sqrt(3)*x^2 + 2*sqrt(3)*(x^6 - 1)^(1/3))/x^2) + 1/36*(3*x^10 - x^4)*(x^6 - 1)^(1/3) + 1/54*log(-(x^2 - (x^6 - 1)^(1/3))/x^2) - 1/108*log((x^4 + (x^6 - 1)^(1/3)*x^2 + (x^6 - 1)^(2/3))/x^4)","A",0
1663,1,102,0,0.944527," ","integrate(x^7*(x^6-1)^(2/3),x, algorithm=""fricas"")","\frac{1}{36} \, {\left(3 \, x^{8} - 2 \, x^{2}\right)} {\left(x^{6} - 1\right)}^{\frac{2}{3}} + \frac{1}{54} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x^{2} + 2 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{3 \, x^{2}}\right) + \frac{1}{54} \, \log\left(-\frac{x^{2} - {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}}\right) - \frac{1}{108} \, \log\left(\frac{x^{4} + {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{2} + {\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}}\right)"," ",0,"1/36*(3*x^8 - 2*x^2)*(x^6 - 1)^(2/3) + 1/54*sqrt(3)*arctan(1/3*(sqrt(3)*x^2 + 2*sqrt(3)*(x^6 - 1)^(1/3))/x^2) + 1/54*log(-(x^2 - (x^6 - 1)^(1/3))/x^2) - 1/108*log((x^4 + (x^6 - 1)^(1/3)*x^2 + (x^6 - 1)^(2/3))/x^4)","A",0
1664,1,102,0,0.728861," ","integrate(x^13/(x^6+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{36} \, {\left(3 \, x^{8} - 4 \, x^{2}\right)} {\left(x^{6} + 1\right)}^{\frac{2}{3}} - \frac{1}{27} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x^{2} + 2 \, \sqrt{3} {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{3 \, x^{2}}\right) - \frac{1}{27} \, \log\left(-\frac{x^{2} - {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}}\right) + \frac{1}{54} \, \log\left(\frac{x^{4} + {\left(x^{6} + 1\right)}^{\frac{1}{3}} x^{2} + {\left(x^{6} + 1\right)}^{\frac{2}{3}}}{x^{4}}\right)"," ",0,"1/36*(3*x^8 - 4*x^2)*(x^6 + 1)^(2/3) - 1/27*sqrt(3)*arctan(1/3*(sqrt(3)*x^2 + 2*sqrt(3)*(x^6 + 1)^(1/3))/x^2) - 1/27*log(-(x^2 - (x^6 + 1)^(1/3))/x^2) + 1/54*log((x^4 + (x^6 + 1)^(1/3)*x^2 + (x^6 + 1)^(2/3))/x^4)","A",0
1665,1,102,0,0.965032," ","integrate(x^7*(x^6+1)^(2/3),x, algorithm=""fricas"")","\frac{1}{36} \, {\left(3 \, x^{8} + 2 \, x^{2}\right)} {\left(x^{6} + 1\right)}^{\frac{2}{3}} + \frac{1}{54} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x^{2} + 2 \, \sqrt{3} {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{3 \, x^{2}}\right) + \frac{1}{54} \, \log\left(-\frac{x^{2} - {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}}\right) - \frac{1}{108} \, \log\left(\frac{x^{4} + {\left(x^{6} + 1\right)}^{\frac{1}{3}} x^{2} + {\left(x^{6} + 1\right)}^{\frac{2}{3}}}{x^{4}}\right)"," ",0,"1/36*(3*x^8 + 2*x^2)*(x^6 + 1)^(2/3) + 1/54*sqrt(3)*arctan(1/3*(sqrt(3)*x^2 + 2*sqrt(3)*(x^6 + 1)^(1/3))/x^2) + 1/54*log(-(x^2 - (x^6 + 1)^(1/3))/x^2) - 1/108*log((x^4 + (x^6 + 1)^(1/3)*x^2 + (x^6 + 1)^(2/3))/x^4)","A",0
1666,-2,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(x^3+4)/x^6/(x^6-4*x^3+8),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1667,-2,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(x^3+4)/x^6/(x^6-4*x^3+8),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1668,-2,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(x^3+2)*(3*x^3+4)/x^6/(x^6+2*x^3+4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1669,-2,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(x^3+2)*(3*x^3+4)/x^6/(x^6+2*x^3+4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1670,-2,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6+4)/x^6/(x^6+2*x^3+4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1671,-2,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6+4)/x^6/(x^6+2*x^3+4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1672,-2,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6-x^3+1)/x^6/(2*x^6-x^3-2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1673,-2,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6-x^3+1)/x^6/(2*x^6-x^3-2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1674,-2,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(3*x^6+6*x^3+4)/x^6/(3*x^6+6*x^3+8),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1675,-2,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(3*x^6+6*x^3+4)/x^6/(3*x^6+6*x^3+8),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1676,1,152,0,17.477423," ","integrate((x^8+2*x^3-1)^(1/3)*(5*x^8+3)/x^2/(x^8+x^3-1),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x \arctan\left(\frac{23155756059884469826063290091369873601204942180224 \, \sqrt{3} {\left(x^{8} + 2 \, x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 61059012875773331838678659685174425801373874951458 \, \sqrt{3} {\left(x^{8} + 2 \, x^{3} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(35248398304721470575821713544519821387080907584081 \, x^{8} + 77355782772550371408192688432791971088370316149922 \, x^{3} - 35248398304721470575821713544519821387080907584081\right)}}{3 \, {\left(20044909029062956675424368815298850195325332161233 \, x^{8} + 38996537437007387681732053612201126295409798546850 \, x^{3} - 20044909029062956675424368815298850195325332161233\right)}}\right) + x \log\left(\frac{x^{8} + x^{3} + 3 \, {\left(x^{8} + 2 \, x^{3} - 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{8} + 2 \, x^{3} - 1\right)}^{\frac{2}{3}} x - 1}{x^{8} + x^{3} - 1}\right) + 6 \, {\left(x^{8} + 2 \, x^{3} - 1\right)}^{\frac{1}{3}}}{2 \, x}"," ",0,"1/2*(2*sqrt(3)*x*arctan(1/3*(23155756059884469826063290091369873601204942180224*sqrt(3)*(x^8 + 2*x^3 - 1)^(1/3)*x^2 + 61059012875773331838678659685174425801373874951458*sqrt(3)*(x^8 + 2*x^3 - 1)^(2/3)*x + sqrt(3)*(35248398304721470575821713544519821387080907584081*x^8 + 77355782772550371408192688432791971088370316149922*x^3 - 35248398304721470575821713544519821387080907584081))/(20044909029062956675424368815298850195325332161233*x^8 + 38996537437007387681732053612201126295409798546850*x^3 - 20044909029062956675424368815298850195325332161233)) + x*log((x^8 + x^3 + 3*(x^8 + 2*x^3 - 1)^(1/3)*x^2 - 3*(x^8 + 2*x^3 - 1)^(2/3)*x - 1)/(x^8 + x^3 - 1)) + 6*(x^8 + 2*x^3 - 1)^(1/3))/x","A",0
1677,1,6296,0,15.090161," ","integrate((x^4-1)*(1+(x^2+1)^(1/2))^(1/2)/(x^4+1),x, algorithm=""fricas"")","\frac{3 \, x \sqrt{\sqrt{\frac{1}{4} i - \frac{1}{4}} + \sqrt{-\frac{1}{4} i - \frac{1}{4}} - 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1}} \log\left(-\frac{2 \, {\left(68 \, x^{4} + 401 \, x^{2} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} \sqrt{\sqrt{x^{2} + 1} + 1} - 2 \, {\left(37 \, x^{4} - {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 209 \, x^{2} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} \sqrt{\sqrt{x^{2} + 1} + 1} + 8 \, {\left({\left(68 \, x^{4} + 401 \, x^{2} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} \sqrt{\sqrt{x^{2} + 1} + 1} + {\left(37 \, x^{4} + 209 \, x^{2} + {\left(68 \, x^{4} + 401 \, x^{2} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} \sqrt{\sqrt{x^{2} + 1} + 1}\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1} + {\left(12 \, x^{5} + 68 \, x^{3} + 2 \, {\left(62 \, x^{5} + 143 \, x^{3} - {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 339 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + {\left(124 \, x^{5} + 286 \, x^{3} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 678 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - {\left(141 \, x^{5} + 174 \, x^{3} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(141 \, x^{5} + 174 \, x^{3} - {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} + 4 \, {\left(141 \, x^{3} - 37 \, x\right)} \sqrt{x^{2} + 1} + 4 \, {\left(141 \, x^{5} + 174 \, x^{3} + 2 \, {\left(62 \, x^{5} + 143 \, x^{3} - {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 339 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} + {\left(124 \, x^{5} + 286 \, x^{3} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 678 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1} + 136 \, x\right)} \sqrt{\sqrt{\frac{1}{4} i - \frac{1}{4}} + \sqrt{-\frac{1}{4} i - \frac{1}{4}} - 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1}} - 2 \, {\left(316 \, x^{4} - {\left(68 \, x^{4} + 401 \, x^{2} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 62 \, x^{2} + {\left(37 \, x^{4} + 209 \, x^{2} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(37 \, x^{2} + 141\right)} \sqrt{x^{2} + 1} + 282\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{4 \, {\left(x^{5} + x\right)}}\right) - 3 \, x \sqrt{\sqrt{\frac{1}{4} i - \frac{1}{4}} + \sqrt{-\frac{1}{4} i - \frac{1}{4}} - 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1}} \log\left(-\frac{2 \, {\left(68 \, x^{4} + 401 \, x^{2} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} \sqrt{\sqrt{x^{2} + 1} + 1} - 2 \, {\left(37 \, x^{4} - {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 209 \, x^{2} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} \sqrt{\sqrt{x^{2} + 1} + 1} + 8 \, {\left({\left(68 \, x^{4} + 401 \, x^{2} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} \sqrt{\sqrt{x^{2} + 1} + 1} + {\left(37 \, x^{4} + 209 \, x^{2} + {\left(68 \, x^{4} + 401 \, x^{2} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} \sqrt{\sqrt{x^{2} + 1} + 1}\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1} - {\left(12 \, x^{5} + 68 \, x^{3} + 2 \, {\left(62 \, x^{5} + 143 \, x^{3} - {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 339 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + {\left(124 \, x^{5} + 286 \, x^{3} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 678 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - {\left(141 \, x^{5} + 174 \, x^{3} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(141 \, x^{5} + 174 \, x^{3} - {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} + 4 \, {\left(141 \, x^{3} - 37 \, x\right)} \sqrt{x^{2} + 1} + 4 \, {\left(141 \, x^{5} + 174 \, x^{3} + 2 \, {\left(62 \, x^{5} + 143 \, x^{3} - {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 339 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} + {\left(124 \, x^{5} + 286 \, x^{3} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 678 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1} + 136 \, x\right)} \sqrt{\sqrt{\frac{1}{4} i - \frac{1}{4}} + \sqrt{-\frac{1}{4} i - \frac{1}{4}} - 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1}} - 2 \, {\left(316 \, x^{4} - {\left(68 \, x^{4} + 401 \, x^{2} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 62 \, x^{2} + {\left(37 \, x^{4} + 209 \, x^{2} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(37 \, x^{2} + 141\right)} \sqrt{x^{2} + 1} + 282\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{4 \, {\left(x^{5} + x\right)}}\right) + 3 \, x \sqrt{\sqrt{\frac{1}{4} i - \frac{1}{4}} + \sqrt{-\frac{1}{4} i - \frac{1}{4}} + 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1}} \log\left(-\frac{2 \, {\left(68 \, x^{4} + 401 \, x^{2} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} \sqrt{\sqrt{x^{2} + 1} + 1} - 2 \, {\left(37 \, x^{4} - {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 209 \, x^{2} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} \sqrt{\sqrt{x^{2} + 1} + 1} - 8 \, {\left({\left(68 \, x^{4} + 401 \, x^{2} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} \sqrt{\sqrt{x^{2} + 1} + 1} + {\left(37 \, x^{4} + 209 \, x^{2} + {\left(68 \, x^{4} + 401 \, x^{2} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} \sqrt{\sqrt{x^{2} + 1} + 1}\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1} + {\left(12 \, x^{5} + 68 \, x^{3} + 2 \, {\left(62 \, x^{5} + 143 \, x^{3} - {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 339 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + {\left(124 \, x^{5} + 286 \, x^{3} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 678 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - {\left(141 \, x^{5} + 174 \, x^{3} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(141 \, x^{5} + 174 \, x^{3} - {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} + 4 \, {\left(141 \, x^{3} - 37 \, x\right)} \sqrt{x^{2} + 1} - 4 \, {\left(141 \, x^{5} + 174 \, x^{3} + 2 \, {\left(62 \, x^{5} + 143 \, x^{3} - {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 339 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} + {\left(124 \, x^{5} + 286 \, x^{3} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 678 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1} + 136 \, x\right)} \sqrt{\sqrt{\frac{1}{4} i - \frac{1}{4}} + \sqrt{-\frac{1}{4} i - \frac{1}{4}} + 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1}} - 2 \, {\left(316 \, x^{4} - {\left(68 \, x^{4} + 401 \, x^{2} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 62 \, x^{2} + {\left(37 \, x^{4} + 209 \, x^{2} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(37 \, x^{2} + 141\right)} \sqrt{x^{2} + 1} + 282\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{4 \, {\left(x^{5} + x\right)}}\right) - 3 \, x \sqrt{\sqrt{\frac{1}{4} i - \frac{1}{4}} + \sqrt{-\frac{1}{4} i - \frac{1}{4}} + 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1}} \log\left(-\frac{2 \, {\left(68 \, x^{4} + 401 \, x^{2} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} \sqrt{\sqrt{x^{2} + 1} + 1} - 2 \, {\left(37 \, x^{4} - {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 209 \, x^{2} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} \sqrt{\sqrt{x^{2} + 1} + 1} - 8 \, {\left({\left(68 \, x^{4} + 401 \, x^{2} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} \sqrt{\sqrt{x^{2} + 1} + 1} + {\left(37 \, x^{4} + 209 \, x^{2} + {\left(68 \, x^{4} + 401 \, x^{2} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} \sqrt{\sqrt{x^{2} + 1} + 1}\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1} - {\left(12 \, x^{5} + 68 \, x^{3} + 2 \, {\left(62 \, x^{5} + 143 \, x^{3} - {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 339 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + {\left(124 \, x^{5} + 286 \, x^{3} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 678 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - {\left(141 \, x^{5} + 174 \, x^{3} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(141 \, x^{5} + 174 \, x^{3} - {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} + 4 \, {\left(141 \, x^{3} - 37 \, x\right)} \sqrt{x^{2} + 1} - 4 \, {\left(141 \, x^{5} + 174 \, x^{3} + 2 \, {\left(62 \, x^{5} + 143 \, x^{3} - {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 339 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} + {\left(124 \, x^{5} + 286 \, x^{3} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 678 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1} + 136 \, x\right)} \sqrt{\sqrt{\frac{1}{4} i - \frac{1}{4}} + \sqrt{-\frac{1}{4} i - \frac{1}{4}} + 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1}} - 2 \, {\left(316 \, x^{4} - {\left(68 \, x^{4} + 401 \, x^{2} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 62 \, x^{2} + {\left(37 \, x^{4} + 209 \, x^{2} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(37 \, x^{2} + 141\right)} \sqrt{x^{2} + 1} + 282\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{4 \, {\left(x^{5} + x\right)}}\right) + 6 \, x \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} + \frac{1}{4} i} \log\left(\frac{{\left(68 \, x^{4} + 401 \, x^{2} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} \sqrt{\sqrt{x^{2} + 1} + 1} - {\left(37 \, x^{4} - {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 209 \, x^{2} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} \sqrt{\sqrt{x^{2} + 1} + 1} + {\left(490 \, x^{5} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{3} + 1110 \, x^{3} + {\left(124 \, x^{5} + 286 \, x^{3} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 678 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} + 4 \, {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(141 \, x^{5} + 174 \, x^{3} - {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - 10 \, {\left(197 \, x^{3} - 229 \, x\right)} \sqrt{x^{2} + 1} - 2780 \, x\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} + \frac{1}{4} i} + {\left(430 \, x^{4} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{3} + 1635 \, x^{2} + 4 \, {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 5 \, {\left(229 \, x^{2} + 197\right)} \sqrt{x^{2} + 1} + 985\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{x^{5} + x}\right) - 6 \, x \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} + \frac{1}{4} i} \log\left(\frac{{\left(68 \, x^{4} + 401 \, x^{2} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} \sqrt{\sqrt{x^{2} + 1} + 1} - {\left(37 \, x^{4} - {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 209 \, x^{2} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} \sqrt{\sqrt{x^{2} + 1} + 1} - {\left(490 \, x^{5} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{3} + 1110 \, x^{3} + {\left(124 \, x^{5} + 286 \, x^{3} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 678 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} + 4 \, {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(141 \, x^{5} + 174 \, x^{3} - {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - 10 \, {\left(197 \, x^{3} - 229 \, x\right)} \sqrt{x^{2} + 1} - 2780 \, x\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} + \frac{1}{4} i} + {\left(430 \, x^{4} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{3} + 1635 \, x^{2} + 4 \, {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 5 \, {\left(229 \, x^{2} + 197\right)} \sqrt{x^{2} + 1} + 985\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{x^{5} + x}\right) + 6 \, x \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{4} i - \frac{1}{4}} - \frac{1}{4} i} \log\left(-\frac{{\left(354 \, x^{5} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{3} - 494 \, x^{3} - 2 \, {\left(62 \, x^{5} + 143 \, x^{3} - {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 339 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 5 \, {\left(197 \, x^{5} + 158 \, x^{3} - 8 \, {\left(77 \, x^{3} - 139 \, x\right)} \sqrt{x^{2} + 1} - 1309 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(431 \, x^{3} - 1567 \, x\right)} \sqrt{x^{2} + 1} - 3488 \, x\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{4} i - \frac{1}{4}} - \frac{1}{4} i} + {\left(678 \, x^{4} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{3} - {\left(68 \, x^{4} + 401 \, x^{2} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 1921 \, x^{2} + 5 \, {\left(229 \, x^{4} + 753 \, x^{2} - 4 \, {\left(139 \, x^{2} + 77\right)} \sqrt{x^{2} + 1} + 308\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(1567 \, x^{2} + 431\right)} \sqrt{x^{2} + 1} + 431\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{x^{5} + x}\right) - 6 \, x \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{4} i - \frac{1}{4}} - \frac{1}{4} i} \log\left(\frac{{\left(354 \, x^{5} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{3} - 494 \, x^{3} - 2 \, {\left(62 \, x^{5} + 143 \, x^{3} - {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 339 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 5 \, {\left(197 \, x^{5} + 158 \, x^{3} - 8 \, {\left(77 \, x^{3} - 139 \, x\right)} \sqrt{x^{2} + 1} - 1309 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(431 \, x^{3} - 1567 \, x\right)} \sqrt{x^{2} + 1} - 3488 \, x\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{4} i - \frac{1}{4}} - \frac{1}{4} i} - {\left(678 \, x^{4} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{3} - {\left(68 \, x^{4} + 401 \, x^{2} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 1921 \, x^{2} + 5 \, {\left(229 \, x^{4} + 753 \, x^{2} - 4 \, {\left(139 \, x^{2} + 77\right)} \sqrt{x^{2} + 1} + 308\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(1567 \, x^{2} + 431\right)} \sqrt{x^{2} + 1} + 431\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{x^{5} + x}\right) + 8 \, {\left(x^{2} + \sqrt{x^{2} + 1} - 1\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{12 \, x}"," ",0,"1/12*(3*x*sqrt(sqrt(1/4*I - 1/4) + sqrt(-1/4*I - 1/4) - 2*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1))*log(-1/4*(2*(68*x^4 + 401*x^2 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I) - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(-1/4*I - 1/4) - I)^2*sqrt(sqrt(x^2 + 1) + 1) - 2*(37*x^4 - (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I)^2 + 209*x^2 - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*(2*sqrt(-1/4*I - 1/4) - I)*sqrt(sqrt(x^2 + 1) + 1) + 8*((68*x^4 + 401*x^2 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I) - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(-1/4*I - 1/4) - I)*sqrt(sqrt(x^2 + 1) + 1) + (37*x^4 + 209*x^2 + (68*x^4 + 401*x^2 - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(1/4*I - 1/4) + I) - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*sqrt(sqrt(x^2 + 1) + 1))*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1) + (12*x^5 + 68*x^3 + 2*(62*x^5 + 143*x^3 - (211*x^3 - 277*x)*sqrt(x^2 + 1) - 339*x)*(2*sqrt(1/4*I - 1/4) + I)^2 + (124*x^5 + 286*x^3 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I) - 2*(211*x^3 - 277*x)*sqrt(x^2 + 1) - 678*x)*(2*sqrt(-1/4*I - 1/4) - I)^2 - (141*x^5 + 174*x^3 - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*(2*sqrt(1/4*I - 1/4) + I) - (141*x^5 + 174*x^3 - (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I)^2 - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*(2*sqrt(-1/4*I - 1/4) - I) + 4*(141*x^3 - 37*x)*sqrt(x^2 + 1) + 4*(141*x^5 + 174*x^3 + 2*(62*x^5 + 143*x^3 - (211*x^3 - 277*x)*sqrt(x^2 + 1) - 339*x)*(2*sqrt(1/4*I - 1/4) + I) + (124*x^5 + 286*x^3 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I) - 2*(211*x^3 - 277*x)*sqrt(x^2 + 1) - 678*x)*(2*sqrt(-1/4*I - 1/4) - I) - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1) + 136*x)*sqrt(sqrt(1/4*I - 1/4) + sqrt(-1/4*I - 1/4) - 2*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1)) - 2*(316*x^4 - (68*x^4 + 401*x^2 - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(1/4*I - 1/4) + I)^2 + 62*x^2 + (37*x^4 + 209*x^2 - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*(2*sqrt(1/4*I - 1/4) + I) - 2*(37*x^2 + 141)*sqrt(x^2 + 1) + 282)*sqrt(sqrt(x^2 + 1) + 1))/(x^5 + x)) - 3*x*sqrt(sqrt(1/4*I - 1/4) + sqrt(-1/4*I - 1/4) - 2*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1))*log(-1/4*(2*(68*x^4 + 401*x^2 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I) - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(-1/4*I - 1/4) - I)^2*sqrt(sqrt(x^2 + 1) + 1) - 2*(37*x^4 - (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I)^2 + 209*x^2 - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*(2*sqrt(-1/4*I - 1/4) - I)*sqrt(sqrt(x^2 + 1) + 1) + 8*((68*x^4 + 401*x^2 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I) - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(-1/4*I - 1/4) - I)*sqrt(sqrt(x^2 + 1) + 1) + (37*x^4 + 209*x^2 + (68*x^4 + 401*x^2 - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(1/4*I - 1/4) + I) - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*sqrt(sqrt(x^2 + 1) + 1))*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1) - (12*x^5 + 68*x^3 + 2*(62*x^5 + 143*x^3 - (211*x^3 - 277*x)*sqrt(x^2 + 1) - 339*x)*(2*sqrt(1/4*I - 1/4) + I)^2 + (124*x^5 + 286*x^3 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I) - 2*(211*x^3 - 277*x)*sqrt(x^2 + 1) - 678*x)*(2*sqrt(-1/4*I - 1/4) - I)^2 - (141*x^5 + 174*x^3 - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*(2*sqrt(1/4*I - 1/4) + I) - (141*x^5 + 174*x^3 - (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I)^2 - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*(2*sqrt(-1/4*I - 1/4) - I) + 4*(141*x^3 - 37*x)*sqrt(x^2 + 1) + 4*(141*x^5 + 174*x^3 + 2*(62*x^5 + 143*x^3 - (211*x^3 - 277*x)*sqrt(x^2 + 1) - 339*x)*(2*sqrt(1/4*I - 1/4) + I) + (124*x^5 + 286*x^3 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I) - 2*(211*x^3 - 277*x)*sqrt(x^2 + 1) - 678*x)*(2*sqrt(-1/4*I - 1/4) - I) - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1) + 136*x)*sqrt(sqrt(1/4*I - 1/4) + sqrt(-1/4*I - 1/4) - 2*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1)) - 2*(316*x^4 - (68*x^4 + 401*x^2 - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(1/4*I - 1/4) + I)^2 + 62*x^2 + (37*x^4 + 209*x^2 - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*(2*sqrt(1/4*I - 1/4) + I) - 2*(37*x^2 + 141)*sqrt(x^2 + 1) + 282)*sqrt(sqrt(x^2 + 1) + 1))/(x^5 + x)) + 3*x*sqrt(sqrt(1/4*I - 1/4) + sqrt(-1/4*I - 1/4) + 2*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1))*log(-1/4*(2*(68*x^4 + 401*x^2 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I) - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(-1/4*I - 1/4) - I)^2*sqrt(sqrt(x^2 + 1) + 1) - 2*(37*x^4 - (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I)^2 + 209*x^2 - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*(2*sqrt(-1/4*I - 1/4) - I)*sqrt(sqrt(x^2 + 1) + 1) - 8*((68*x^4 + 401*x^2 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I) - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(-1/4*I - 1/4) - I)*sqrt(sqrt(x^2 + 1) + 1) + (37*x^4 + 209*x^2 + (68*x^4 + 401*x^2 - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(1/4*I - 1/4) + I) - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*sqrt(sqrt(x^2 + 1) + 1))*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1) + (12*x^5 + 68*x^3 + 2*(62*x^5 + 143*x^3 - (211*x^3 - 277*x)*sqrt(x^2 + 1) - 339*x)*(2*sqrt(1/4*I - 1/4) + I)^2 + (124*x^5 + 286*x^3 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I) - 2*(211*x^3 - 277*x)*sqrt(x^2 + 1) - 678*x)*(2*sqrt(-1/4*I - 1/4) - I)^2 - (141*x^5 + 174*x^3 - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*(2*sqrt(1/4*I - 1/4) + I) - (141*x^5 + 174*x^3 - (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I)^2 - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*(2*sqrt(-1/4*I - 1/4) - I) + 4*(141*x^3 - 37*x)*sqrt(x^2 + 1) - 4*(141*x^5 + 174*x^3 + 2*(62*x^5 + 143*x^3 - (211*x^3 - 277*x)*sqrt(x^2 + 1) - 339*x)*(2*sqrt(1/4*I - 1/4) + I) + (124*x^5 + 286*x^3 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I) - 2*(211*x^3 - 277*x)*sqrt(x^2 + 1) - 678*x)*(2*sqrt(-1/4*I - 1/4) - I) - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1) + 136*x)*sqrt(sqrt(1/4*I - 1/4) + sqrt(-1/4*I - 1/4) + 2*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1)) - 2*(316*x^4 - (68*x^4 + 401*x^2 - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(1/4*I - 1/4) + I)^2 + 62*x^2 + (37*x^4 + 209*x^2 - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*(2*sqrt(1/4*I - 1/4) + I) - 2*(37*x^2 + 141)*sqrt(x^2 + 1) + 282)*sqrt(sqrt(x^2 + 1) + 1))/(x^5 + x)) - 3*x*sqrt(sqrt(1/4*I - 1/4) + sqrt(-1/4*I - 1/4) + 2*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1))*log(-1/4*(2*(68*x^4 + 401*x^2 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I) - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(-1/4*I - 1/4) - I)^2*sqrt(sqrt(x^2 + 1) + 1) - 2*(37*x^4 - (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I)^2 + 209*x^2 - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*(2*sqrt(-1/4*I - 1/4) - I)*sqrt(sqrt(x^2 + 1) + 1) - 8*((68*x^4 + 401*x^2 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I) - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(-1/4*I - 1/4) - I)*sqrt(sqrt(x^2 + 1) + 1) + (37*x^4 + 209*x^2 + (68*x^4 + 401*x^2 - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(1/4*I - 1/4) + I) - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*sqrt(sqrt(x^2 + 1) + 1))*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1) - (12*x^5 + 68*x^3 + 2*(62*x^5 + 143*x^3 - (211*x^3 - 277*x)*sqrt(x^2 + 1) - 339*x)*(2*sqrt(1/4*I - 1/4) + I)^2 + (124*x^5 + 286*x^3 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I) - 2*(211*x^3 - 277*x)*sqrt(x^2 + 1) - 678*x)*(2*sqrt(-1/4*I - 1/4) - I)^2 - (141*x^5 + 174*x^3 - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*(2*sqrt(1/4*I - 1/4) + I) - (141*x^5 + 174*x^3 - (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I)^2 - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*(2*sqrt(-1/4*I - 1/4) - I) + 4*(141*x^3 - 37*x)*sqrt(x^2 + 1) - 4*(141*x^5 + 174*x^3 + 2*(62*x^5 + 143*x^3 - (211*x^3 - 277*x)*sqrt(x^2 + 1) - 339*x)*(2*sqrt(1/4*I - 1/4) + I) + (124*x^5 + 286*x^3 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I) - 2*(211*x^3 - 277*x)*sqrt(x^2 + 1) - 678*x)*(2*sqrt(-1/4*I - 1/4) - I) - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1) + 136*x)*sqrt(sqrt(1/4*I - 1/4) + sqrt(-1/4*I - 1/4) + 2*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1)) - 2*(316*x^4 - (68*x^4 + 401*x^2 - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(1/4*I - 1/4) + I)^2 + 62*x^2 + (37*x^4 + 209*x^2 - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*(2*sqrt(1/4*I - 1/4) + I) - 2*(37*x^2 + 141)*sqrt(x^2 + 1) + 282)*sqrt(sqrt(x^2 + 1) + 1))/(x^5 + x)) + 6*x*sqrt(-1/2*sqrt(-1/4*I - 1/4) + 1/4*I)*log(((68*x^4 + 401*x^2 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I) - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(-1/4*I - 1/4) - I)^2*sqrt(sqrt(x^2 + 1) + 1) - (37*x^4 - (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I)^2 + 209*x^2 - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*(2*sqrt(-1/4*I - 1/4) - I)*sqrt(sqrt(x^2 + 1) + 1) + (490*x^5 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I)^3 + 1110*x^3 + (124*x^5 + 286*x^3 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I) - 2*(211*x^3 - 277*x)*sqrt(x^2 + 1) - 678*x)*(2*sqrt(-1/4*I - 1/4) - I)^2 + 4*(211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I) - (141*x^5 + 174*x^3 - (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I)^2 - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*(2*sqrt(-1/4*I - 1/4) - I) - 10*(197*x^3 - 229*x)*sqrt(x^2 + 1) - 2780*x)*sqrt(-1/2*sqrt(-1/4*I - 1/4) + 1/4*I) + (430*x^4 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I)^3 + 1635*x^2 + 4*(277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I) - 5*(229*x^2 + 197)*sqrt(x^2 + 1) + 985)*sqrt(sqrt(x^2 + 1) + 1))/(x^5 + x)) - 6*x*sqrt(-1/2*sqrt(-1/4*I - 1/4) + 1/4*I)*log(((68*x^4 + 401*x^2 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I) - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(-1/4*I - 1/4) - I)^2*sqrt(sqrt(x^2 + 1) + 1) - (37*x^4 - (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I)^2 + 209*x^2 - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*(2*sqrt(-1/4*I - 1/4) - I)*sqrt(sqrt(x^2 + 1) + 1) - (490*x^5 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I)^3 + 1110*x^3 + (124*x^5 + 286*x^3 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I) - 2*(211*x^3 - 277*x)*sqrt(x^2 + 1) - 678*x)*(2*sqrt(-1/4*I - 1/4) - I)^2 + 4*(211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I) - (141*x^5 + 174*x^3 - (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I)^2 - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*(2*sqrt(-1/4*I - 1/4) - I) - 10*(197*x^3 - 229*x)*sqrt(x^2 + 1) - 2780*x)*sqrt(-1/2*sqrt(-1/4*I - 1/4) + 1/4*I) + (430*x^4 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I)^3 + 1635*x^2 + 4*(277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I) - 5*(229*x^2 + 197)*sqrt(x^2 + 1) + 985)*sqrt(sqrt(x^2 + 1) + 1))/(x^5 + x)) + 6*x*sqrt(-1/2*sqrt(1/4*I - 1/4) - 1/4*I)*log(-((354*x^5 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I)^3 - 494*x^3 - 2*(62*x^5 + 143*x^3 - (211*x^3 - 277*x)*sqrt(x^2 + 1) - 339*x)*(2*sqrt(1/4*I - 1/4) + I)^2 + 5*(197*x^5 + 158*x^3 - 8*(77*x^3 - 139*x)*sqrt(x^2 + 1) - 1309*x)*(2*sqrt(1/4*I - 1/4) + I) - 2*(431*x^3 - 1567*x)*sqrt(x^2 + 1) - 3488*x)*sqrt(-1/2*sqrt(1/4*I - 1/4) - 1/4*I) + (678*x^4 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I)^3 - (68*x^4 + 401*x^2 - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(1/4*I - 1/4) + I)^2 + 1921*x^2 + 5*(229*x^4 + 753*x^2 - 4*(139*x^2 + 77)*sqrt(x^2 + 1) + 308)*(2*sqrt(1/4*I - 1/4) + I) - (1567*x^2 + 431)*sqrt(x^2 + 1) + 431)*sqrt(sqrt(x^2 + 1) + 1))/(x^5 + x)) - 6*x*sqrt(-1/2*sqrt(1/4*I - 1/4) - 1/4*I)*log(((354*x^5 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I)^3 - 494*x^3 - 2*(62*x^5 + 143*x^3 - (211*x^3 - 277*x)*sqrt(x^2 + 1) - 339*x)*(2*sqrt(1/4*I - 1/4) + I)^2 + 5*(197*x^5 + 158*x^3 - 8*(77*x^3 - 139*x)*sqrt(x^2 + 1) - 1309*x)*(2*sqrt(1/4*I - 1/4) + I) - 2*(431*x^3 - 1567*x)*sqrt(x^2 + 1) - 3488*x)*sqrt(-1/2*sqrt(1/4*I - 1/4) - 1/4*I) - (678*x^4 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I)^3 - (68*x^4 + 401*x^2 - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(1/4*I - 1/4) + I)^2 + 1921*x^2 + 5*(229*x^4 + 753*x^2 - 4*(139*x^2 + 77)*sqrt(x^2 + 1) + 308)*(2*sqrt(1/4*I - 1/4) + I) - (1567*x^2 + 431)*sqrt(x^2 + 1) + 431)*sqrt(sqrt(x^2 + 1) + 1))/(x^5 + x)) + 8*(x^2 + sqrt(x^2 + 1) - 1)*sqrt(sqrt(x^2 + 1) + 1))/x","B",0
1678,1,6296,0,15.382725," ","integrate((x^4-1)*(1+(x^2+1)^(1/2))^(1/2)/(x^4+1),x, algorithm=""fricas"")","\frac{3 \, x \sqrt{\sqrt{\frac{1}{4} i - \frac{1}{4}} + \sqrt{-\frac{1}{4} i - \frac{1}{4}} - 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1}} \log\left(-\frac{2 \, {\left(68 \, x^{4} + 401 \, x^{2} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} \sqrt{\sqrt{x^{2} + 1} + 1} - 2 \, {\left(37 \, x^{4} - {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 209 \, x^{2} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} \sqrt{\sqrt{x^{2} + 1} + 1} + 8 \, {\left({\left(68 \, x^{4} + 401 \, x^{2} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} \sqrt{\sqrt{x^{2} + 1} + 1} + {\left(37 \, x^{4} + 209 \, x^{2} + {\left(68 \, x^{4} + 401 \, x^{2} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} \sqrt{\sqrt{x^{2} + 1} + 1}\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1} + {\left(12 \, x^{5} + 68 \, x^{3} + 2 \, {\left(62 \, x^{5} + 143 \, x^{3} - {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 339 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + {\left(124 \, x^{5} + 286 \, x^{3} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 678 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - {\left(141 \, x^{5} + 174 \, x^{3} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(141 \, x^{5} + 174 \, x^{3} - {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} + 4 \, {\left(141 \, x^{3} - 37 \, x\right)} \sqrt{x^{2} + 1} + 4 \, {\left(141 \, x^{5} + 174 \, x^{3} + 2 \, {\left(62 \, x^{5} + 143 \, x^{3} - {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 339 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} + {\left(124 \, x^{5} + 286 \, x^{3} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 678 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1} + 136 \, x\right)} \sqrt{\sqrt{\frac{1}{4} i - \frac{1}{4}} + \sqrt{-\frac{1}{4} i - \frac{1}{4}} - 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1}} - 2 \, {\left(316 \, x^{4} - {\left(68 \, x^{4} + 401 \, x^{2} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 62 \, x^{2} + {\left(37 \, x^{4} + 209 \, x^{2} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(37 \, x^{2} + 141\right)} \sqrt{x^{2} + 1} + 282\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{4 \, {\left(x^{5} + x\right)}}\right) - 3 \, x \sqrt{\sqrt{\frac{1}{4} i - \frac{1}{4}} + \sqrt{-\frac{1}{4} i - \frac{1}{4}} - 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1}} \log\left(-\frac{2 \, {\left(68 \, x^{4} + 401 \, x^{2} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} \sqrt{\sqrt{x^{2} + 1} + 1} - 2 \, {\left(37 \, x^{4} - {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 209 \, x^{2} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} \sqrt{\sqrt{x^{2} + 1} + 1} + 8 \, {\left({\left(68 \, x^{4} + 401 \, x^{2} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} \sqrt{\sqrt{x^{2} + 1} + 1} + {\left(37 \, x^{4} + 209 \, x^{2} + {\left(68 \, x^{4} + 401 \, x^{2} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} \sqrt{\sqrt{x^{2} + 1} + 1}\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1} - {\left(12 \, x^{5} + 68 \, x^{3} + 2 \, {\left(62 \, x^{5} + 143 \, x^{3} - {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 339 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + {\left(124 \, x^{5} + 286 \, x^{3} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 678 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - {\left(141 \, x^{5} + 174 \, x^{3} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(141 \, x^{5} + 174 \, x^{3} - {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} + 4 \, {\left(141 \, x^{3} - 37 \, x\right)} \sqrt{x^{2} + 1} + 4 \, {\left(141 \, x^{5} + 174 \, x^{3} + 2 \, {\left(62 \, x^{5} + 143 \, x^{3} - {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 339 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} + {\left(124 \, x^{5} + 286 \, x^{3} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 678 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1} + 136 \, x\right)} \sqrt{\sqrt{\frac{1}{4} i - \frac{1}{4}} + \sqrt{-\frac{1}{4} i - \frac{1}{4}} - 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1}} - 2 \, {\left(316 \, x^{4} - {\left(68 \, x^{4} + 401 \, x^{2} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 62 \, x^{2} + {\left(37 \, x^{4} + 209 \, x^{2} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(37 \, x^{2} + 141\right)} \sqrt{x^{2} + 1} + 282\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{4 \, {\left(x^{5} + x\right)}}\right) + 3 \, x \sqrt{\sqrt{\frac{1}{4} i - \frac{1}{4}} + \sqrt{-\frac{1}{4} i - \frac{1}{4}} + 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1}} \log\left(-\frac{2 \, {\left(68 \, x^{4} + 401 \, x^{2} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} \sqrt{\sqrt{x^{2} + 1} + 1} - 2 \, {\left(37 \, x^{4} - {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 209 \, x^{2} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} \sqrt{\sqrt{x^{2} + 1} + 1} - 8 \, {\left({\left(68 \, x^{4} + 401 \, x^{2} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} \sqrt{\sqrt{x^{2} + 1} + 1} + {\left(37 \, x^{4} + 209 \, x^{2} + {\left(68 \, x^{4} + 401 \, x^{2} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} \sqrt{\sqrt{x^{2} + 1} + 1}\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1} + {\left(12 \, x^{5} + 68 \, x^{3} + 2 \, {\left(62 \, x^{5} + 143 \, x^{3} - {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 339 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + {\left(124 \, x^{5} + 286 \, x^{3} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 678 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - {\left(141 \, x^{5} + 174 \, x^{3} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(141 \, x^{5} + 174 \, x^{3} - {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} + 4 \, {\left(141 \, x^{3} - 37 \, x\right)} \sqrt{x^{2} + 1} - 4 \, {\left(141 \, x^{5} + 174 \, x^{3} + 2 \, {\left(62 \, x^{5} + 143 \, x^{3} - {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 339 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} + {\left(124 \, x^{5} + 286 \, x^{3} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 678 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1} + 136 \, x\right)} \sqrt{\sqrt{\frac{1}{4} i - \frac{1}{4}} + \sqrt{-\frac{1}{4} i - \frac{1}{4}} + 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1}} - 2 \, {\left(316 \, x^{4} - {\left(68 \, x^{4} + 401 \, x^{2} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 62 \, x^{2} + {\left(37 \, x^{4} + 209 \, x^{2} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(37 \, x^{2} + 141\right)} \sqrt{x^{2} + 1} + 282\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{4 \, {\left(x^{5} + x\right)}}\right) - 3 \, x \sqrt{\sqrt{\frac{1}{4} i - \frac{1}{4}} + \sqrt{-\frac{1}{4} i - \frac{1}{4}} + 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1}} \log\left(-\frac{2 \, {\left(68 \, x^{4} + 401 \, x^{2} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} \sqrt{\sqrt{x^{2} + 1} + 1} - 2 \, {\left(37 \, x^{4} - {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 209 \, x^{2} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} \sqrt{\sqrt{x^{2} + 1} + 1} - 8 \, {\left({\left(68 \, x^{4} + 401 \, x^{2} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} \sqrt{\sqrt{x^{2} + 1} + 1} + {\left(37 \, x^{4} + 209 \, x^{2} + {\left(68 \, x^{4} + 401 \, x^{2} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} \sqrt{\sqrt{x^{2} + 1} + 1}\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1} - {\left(12 \, x^{5} + 68 \, x^{3} + 2 \, {\left(62 \, x^{5} + 143 \, x^{3} - {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 339 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + {\left(124 \, x^{5} + 286 \, x^{3} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 678 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - {\left(141 \, x^{5} + 174 \, x^{3} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(141 \, x^{5} + 174 \, x^{3} - {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} + 4 \, {\left(141 \, x^{3} - 37 \, x\right)} \sqrt{x^{2} + 1} - 4 \, {\left(141 \, x^{5} + 174 \, x^{3} + 2 \, {\left(62 \, x^{5} + 143 \, x^{3} - {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 339 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} + {\left(124 \, x^{5} + 286 \, x^{3} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 678 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1} + 136 \, x\right)} \sqrt{\sqrt{\frac{1}{4} i - \frac{1}{4}} + \sqrt{-\frac{1}{4} i - \frac{1}{4}} + 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} - 1}} - 2 \, {\left(316 \, x^{4} - {\left(68 \, x^{4} + 401 \, x^{2} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 62 \, x^{2} + {\left(37 \, x^{4} + 209 \, x^{2} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(37 \, x^{2} + 141\right)} \sqrt{x^{2} + 1} + 282\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{4 \, {\left(x^{5} + x\right)}}\right) + 6 \, x \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} + \frac{1}{4} i} \log\left(\frac{{\left(68 \, x^{4} + 401 \, x^{2} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} \sqrt{\sqrt{x^{2} + 1} + 1} - {\left(37 \, x^{4} - {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 209 \, x^{2} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} \sqrt{\sqrt{x^{2} + 1} + 1} + {\left(490 \, x^{5} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{3} + 1110 \, x^{3} + {\left(124 \, x^{5} + 286 \, x^{3} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 678 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} + 4 \, {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(141 \, x^{5} + 174 \, x^{3} - {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - 10 \, {\left(197 \, x^{3} - 229 \, x\right)} \sqrt{x^{2} + 1} - 2780 \, x\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} + \frac{1}{4} i} + {\left(430 \, x^{4} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{3} + 1635 \, x^{2} + 4 \, {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 5 \, {\left(229 \, x^{2} + 197\right)} \sqrt{x^{2} + 1} + 985\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{x^{5} + x}\right) - 6 \, x \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} + \frac{1}{4} i} \log\left(\frac{{\left(68 \, x^{4} + 401 \, x^{2} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} \sqrt{\sqrt{x^{2} + 1} + 1} - {\left(37 \, x^{4} - {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 209 \, x^{2} - 4 \, {\left(17 \, x^{2} + 31\right)} \sqrt{x^{2} + 1} + 124\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} \sqrt{\sqrt{x^{2} + 1} + 1} - {\left(490 \, x^{5} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{3} + 1110 \, x^{3} + {\left(124 \, x^{5} + 286 \, x^{3} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 678 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)}^{2} + 4 \, {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(141 \, x^{5} + 174 \, x^{3} - {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} - 8 \, {\left(31 \, x^{3} - 17 \, x\right)} \sqrt{x^{2} + 1} - 277 \, x\right)} {\left(2 \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} - i\right)} - 10 \, {\left(197 \, x^{3} - 229 \, x\right)} \sqrt{x^{2} + 1} - 2780 \, x\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{4} i - \frac{1}{4}} + \frac{1}{4} i} + {\left(430 \, x^{4} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{3} + 1635 \, x^{2} + 4 \, {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 5 \, {\left(229 \, x^{2} + 197\right)} \sqrt{x^{2} + 1} + 985\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{x^{5} + x}\right) + 6 \, x \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{4} i - \frac{1}{4}} - \frac{1}{4} i} \log\left(-\frac{{\left(354 \, x^{5} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{3} - 494 \, x^{3} - 2 \, {\left(62 \, x^{5} + 143 \, x^{3} - {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 339 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 5 \, {\left(197 \, x^{5} + 158 \, x^{3} - 8 \, {\left(77 \, x^{3} - 139 \, x\right)} \sqrt{x^{2} + 1} - 1309 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(431 \, x^{3} - 1567 \, x\right)} \sqrt{x^{2} + 1} - 3488 \, x\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{4} i - \frac{1}{4}} - \frac{1}{4} i} + {\left(678 \, x^{4} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{3} - {\left(68 \, x^{4} + 401 \, x^{2} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 1921 \, x^{2} + 5 \, {\left(229 \, x^{4} + 753 \, x^{2} - 4 \, {\left(139 \, x^{2} + 77\right)} \sqrt{x^{2} + 1} + 308\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(1567 \, x^{2} + 431\right)} \sqrt{x^{2} + 1} + 431\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{x^{5} + x}\right) - 6 \, x \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{4} i - \frac{1}{4}} - \frac{1}{4} i} \log\left(\frac{{\left(354 \, x^{5} + {\left(211 \, x^{5} + 154 \, x^{3} - 12 \, {\left(59 \, x^{3} - 113 \, x\right)} \sqrt{x^{2} + 1} - 1567 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{3} - 494 \, x^{3} - 2 \, {\left(62 \, x^{5} + 143 \, x^{3} - {\left(211 \, x^{3} - 277 \, x\right)} \sqrt{x^{2} + 1} - 339 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 5 \, {\left(197 \, x^{5} + 158 \, x^{3} - 8 \, {\left(77 \, x^{3} - 139 \, x\right)} \sqrt{x^{2} + 1} - 1309 \, x\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - 2 \, {\left(431 \, x^{3} - 1567 \, x\right)} \sqrt{x^{2} + 1} - 3488 \, x\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{4} i - \frac{1}{4}} - \frac{1}{4} i} - {\left(678 \, x^{4} + {\left(277 \, x^{4} + 889 \, x^{2} - 6 \, {\left(113 \, x^{2} + 59\right)} \sqrt{x^{2} + 1} + 354\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{3} - {\left(68 \, x^{4} + 401 \, x^{2} - {\left(277 \, x^{2} + 211\right)} \sqrt{x^{2} + 1} + 211\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)}^{2} + 1921 \, x^{2} + 5 \, {\left(229 \, x^{4} + 753 \, x^{2} - 4 \, {\left(139 \, x^{2} + 77\right)} \sqrt{x^{2} + 1} + 308\right)} {\left(2 \, \sqrt{\frac{1}{4} i - \frac{1}{4}} + i\right)} - {\left(1567 \, x^{2} + 431\right)} \sqrt{x^{2} + 1} + 431\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{x^{5} + x}\right) + 8 \, {\left(x^{2} + \sqrt{x^{2} + 1} - 1\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{12 \, x}"," ",0,"1/12*(3*x*sqrt(sqrt(1/4*I - 1/4) + sqrt(-1/4*I - 1/4) - 2*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1))*log(-1/4*(2*(68*x^4 + 401*x^2 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I) - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(-1/4*I - 1/4) - I)^2*sqrt(sqrt(x^2 + 1) + 1) - 2*(37*x^4 - (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I)^2 + 209*x^2 - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*(2*sqrt(-1/4*I - 1/4) - I)*sqrt(sqrt(x^2 + 1) + 1) + 8*((68*x^4 + 401*x^2 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I) - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(-1/4*I - 1/4) - I)*sqrt(sqrt(x^2 + 1) + 1) + (37*x^4 + 209*x^2 + (68*x^4 + 401*x^2 - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(1/4*I - 1/4) + I) - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*sqrt(sqrt(x^2 + 1) + 1))*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1) + (12*x^5 + 68*x^3 + 2*(62*x^5 + 143*x^3 - (211*x^3 - 277*x)*sqrt(x^2 + 1) - 339*x)*(2*sqrt(1/4*I - 1/4) + I)^2 + (124*x^5 + 286*x^3 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I) - 2*(211*x^3 - 277*x)*sqrt(x^2 + 1) - 678*x)*(2*sqrt(-1/4*I - 1/4) - I)^2 - (141*x^5 + 174*x^3 - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*(2*sqrt(1/4*I - 1/4) + I) - (141*x^5 + 174*x^3 - (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I)^2 - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*(2*sqrt(-1/4*I - 1/4) - I) + 4*(141*x^3 - 37*x)*sqrt(x^2 + 1) + 4*(141*x^5 + 174*x^3 + 2*(62*x^5 + 143*x^3 - (211*x^3 - 277*x)*sqrt(x^2 + 1) - 339*x)*(2*sqrt(1/4*I - 1/4) + I) + (124*x^5 + 286*x^3 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I) - 2*(211*x^3 - 277*x)*sqrt(x^2 + 1) - 678*x)*(2*sqrt(-1/4*I - 1/4) - I) - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1) + 136*x)*sqrt(sqrt(1/4*I - 1/4) + sqrt(-1/4*I - 1/4) - 2*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1)) - 2*(316*x^4 - (68*x^4 + 401*x^2 - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(1/4*I - 1/4) + I)^2 + 62*x^2 + (37*x^4 + 209*x^2 - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*(2*sqrt(1/4*I - 1/4) + I) - 2*(37*x^2 + 141)*sqrt(x^2 + 1) + 282)*sqrt(sqrt(x^2 + 1) + 1))/(x^5 + x)) - 3*x*sqrt(sqrt(1/4*I - 1/4) + sqrt(-1/4*I - 1/4) - 2*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1))*log(-1/4*(2*(68*x^4 + 401*x^2 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I) - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(-1/4*I - 1/4) - I)^2*sqrt(sqrt(x^2 + 1) + 1) - 2*(37*x^4 - (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I)^2 + 209*x^2 - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*(2*sqrt(-1/4*I - 1/4) - I)*sqrt(sqrt(x^2 + 1) + 1) + 8*((68*x^4 + 401*x^2 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I) - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(-1/4*I - 1/4) - I)*sqrt(sqrt(x^2 + 1) + 1) + (37*x^4 + 209*x^2 + (68*x^4 + 401*x^2 - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(1/4*I - 1/4) + I) - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*sqrt(sqrt(x^2 + 1) + 1))*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1) - (12*x^5 + 68*x^3 + 2*(62*x^5 + 143*x^3 - (211*x^3 - 277*x)*sqrt(x^2 + 1) - 339*x)*(2*sqrt(1/4*I - 1/4) + I)^2 + (124*x^5 + 286*x^3 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I) - 2*(211*x^3 - 277*x)*sqrt(x^2 + 1) - 678*x)*(2*sqrt(-1/4*I - 1/4) - I)^2 - (141*x^5 + 174*x^3 - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*(2*sqrt(1/4*I - 1/4) + I) - (141*x^5 + 174*x^3 - (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I)^2 - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*(2*sqrt(-1/4*I - 1/4) - I) + 4*(141*x^3 - 37*x)*sqrt(x^2 + 1) + 4*(141*x^5 + 174*x^3 + 2*(62*x^5 + 143*x^3 - (211*x^3 - 277*x)*sqrt(x^2 + 1) - 339*x)*(2*sqrt(1/4*I - 1/4) + I) + (124*x^5 + 286*x^3 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I) - 2*(211*x^3 - 277*x)*sqrt(x^2 + 1) - 678*x)*(2*sqrt(-1/4*I - 1/4) - I) - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1) + 136*x)*sqrt(sqrt(1/4*I - 1/4) + sqrt(-1/4*I - 1/4) - 2*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1)) - 2*(316*x^4 - (68*x^4 + 401*x^2 - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(1/4*I - 1/4) + I)^2 + 62*x^2 + (37*x^4 + 209*x^2 - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*(2*sqrt(1/4*I - 1/4) + I) - 2*(37*x^2 + 141)*sqrt(x^2 + 1) + 282)*sqrt(sqrt(x^2 + 1) + 1))/(x^5 + x)) + 3*x*sqrt(sqrt(1/4*I - 1/4) + sqrt(-1/4*I - 1/4) + 2*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1))*log(-1/4*(2*(68*x^4 + 401*x^2 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I) - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(-1/4*I - 1/4) - I)^2*sqrt(sqrt(x^2 + 1) + 1) - 2*(37*x^4 - (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I)^2 + 209*x^2 - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*(2*sqrt(-1/4*I - 1/4) - I)*sqrt(sqrt(x^2 + 1) + 1) - 8*((68*x^4 + 401*x^2 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I) - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(-1/4*I - 1/4) - I)*sqrt(sqrt(x^2 + 1) + 1) + (37*x^4 + 209*x^2 + (68*x^4 + 401*x^2 - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(1/4*I - 1/4) + I) - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*sqrt(sqrt(x^2 + 1) + 1))*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1) + (12*x^5 + 68*x^3 + 2*(62*x^5 + 143*x^3 - (211*x^3 - 277*x)*sqrt(x^2 + 1) - 339*x)*(2*sqrt(1/4*I - 1/4) + I)^2 + (124*x^5 + 286*x^3 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I) - 2*(211*x^3 - 277*x)*sqrt(x^2 + 1) - 678*x)*(2*sqrt(-1/4*I - 1/4) - I)^2 - (141*x^5 + 174*x^3 - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*(2*sqrt(1/4*I - 1/4) + I) - (141*x^5 + 174*x^3 - (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I)^2 - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*(2*sqrt(-1/4*I - 1/4) - I) + 4*(141*x^3 - 37*x)*sqrt(x^2 + 1) - 4*(141*x^5 + 174*x^3 + 2*(62*x^5 + 143*x^3 - (211*x^3 - 277*x)*sqrt(x^2 + 1) - 339*x)*(2*sqrt(1/4*I - 1/4) + I) + (124*x^5 + 286*x^3 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I) - 2*(211*x^3 - 277*x)*sqrt(x^2 + 1) - 678*x)*(2*sqrt(-1/4*I - 1/4) - I) - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1) + 136*x)*sqrt(sqrt(1/4*I - 1/4) + sqrt(-1/4*I - 1/4) + 2*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1)) - 2*(316*x^4 - (68*x^4 + 401*x^2 - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(1/4*I - 1/4) + I)^2 + 62*x^2 + (37*x^4 + 209*x^2 - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*(2*sqrt(1/4*I - 1/4) + I) - 2*(37*x^2 + 141)*sqrt(x^2 + 1) + 282)*sqrt(sqrt(x^2 + 1) + 1))/(x^5 + x)) - 3*x*sqrt(sqrt(1/4*I - 1/4) + sqrt(-1/4*I - 1/4) + 2*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1))*log(-1/4*(2*(68*x^4 + 401*x^2 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I) - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(-1/4*I - 1/4) - I)^2*sqrt(sqrt(x^2 + 1) + 1) - 2*(37*x^4 - (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I)^2 + 209*x^2 - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*(2*sqrt(-1/4*I - 1/4) - I)*sqrt(sqrt(x^2 + 1) + 1) - 8*((68*x^4 + 401*x^2 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I) - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(-1/4*I - 1/4) - I)*sqrt(sqrt(x^2 + 1) + 1) + (37*x^4 + 209*x^2 + (68*x^4 + 401*x^2 - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(1/4*I - 1/4) + I) - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*sqrt(sqrt(x^2 + 1) + 1))*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1) - (12*x^5 + 68*x^3 + 2*(62*x^5 + 143*x^3 - (211*x^3 - 277*x)*sqrt(x^2 + 1) - 339*x)*(2*sqrt(1/4*I - 1/4) + I)^2 + (124*x^5 + 286*x^3 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I) - 2*(211*x^3 - 277*x)*sqrt(x^2 + 1) - 678*x)*(2*sqrt(-1/4*I - 1/4) - I)^2 - (141*x^5 + 174*x^3 - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*(2*sqrt(1/4*I - 1/4) + I) - (141*x^5 + 174*x^3 - (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I)^2 - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*(2*sqrt(-1/4*I - 1/4) - I) + 4*(141*x^3 - 37*x)*sqrt(x^2 + 1) - 4*(141*x^5 + 174*x^3 + 2*(62*x^5 + 143*x^3 - (211*x^3 - 277*x)*sqrt(x^2 + 1) - 339*x)*(2*sqrt(1/4*I - 1/4) + I) + (124*x^5 + 286*x^3 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I) - 2*(211*x^3 - 277*x)*sqrt(x^2 + 1) - 678*x)*(2*sqrt(-1/4*I - 1/4) - I) - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1) + 136*x)*sqrt(sqrt(1/4*I - 1/4) + sqrt(-1/4*I - 1/4) + 2*sqrt(-3/16*(2*sqrt(1/4*I - 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I - 1/4) + I)*(2*sqrt(-1/4*I - 1/4) - I) - 3/16*(2*sqrt(-1/4*I - 1/4) - I)^2 - 1)) - 2*(316*x^4 - (68*x^4 + 401*x^2 - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(1/4*I - 1/4) + I)^2 + 62*x^2 + (37*x^4 + 209*x^2 - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*(2*sqrt(1/4*I - 1/4) + I) - 2*(37*x^2 + 141)*sqrt(x^2 + 1) + 282)*sqrt(sqrt(x^2 + 1) + 1))/(x^5 + x)) + 6*x*sqrt(-1/2*sqrt(-1/4*I - 1/4) + 1/4*I)*log(((68*x^4 + 401*x^2 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I) - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(-1/4*I - 1/4) - I)^2*sqrt(sqrt(x^2 + 1) + 1) - (37*x^4 - (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I)^2 + 209*x^2 - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*(2*sqrt(-1/4*I - 1/4) - I)*sqrt(sqrt(x^2 + 1) + 1) + (490*x^5 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I)^3 + 1110*x^3 + (124*x^5 + 286*x^3 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I) - 2*(211*x^3 - 277*x)*sqrt(x^2 + 1) - 678*x)*(2*sqrt(-1/4*I - 1/4) - I)^2 + 4*(211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I) - (141*x^5 + 174*x^3 - (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I)^2 - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*(2*sqrt(-1/4*I - 1/4) - I) - 10*(197*x^3 - 229*x)*sqrt(x^2 + 1) - 2780*x)*sqrt(-1/2*sqrt(-1/4*I - 1/4) + 1/4*I) + (430*x^4 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I)^3 + 1635*x^2 + 4*(277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I) - 5*(229*x^2 + 197)*sqrt(x^2 + 1) + 985)*sqrt(sqrt(x^2 + 1) + 1))/(x^5 + x)) - 6*x*sqrt(-1/2*sqrt(-1/4*I - 1/4) + 1/4*I)*log(((68*x^4 + 401*x^2 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I) - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(-1/4*I - 1/4) - I)^2*sqrt(sqrt(x^2 + 1) + 1) - (37*x^4 - (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I)^2 + 209*x^2 - 4*(17*x^2 + 31)*sqrt(x^2 + 1) + 124)*(2*sqrt(-1/4*I - 1/4) - I)*sqrt(sqrt(x^2 + 1) + 1) - (490*x^5 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I)^3 + 1110*x^3 + (124*x^5 + 286*x^3 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I) - 2*(211*x^3 - 277*x)*sqrt(x^2 + 1) - 678*x)*(2*sqrt(-1/4*I - 1/4) - I)^2 + 4*(211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I) - (141*x^5 + 174*x^3 - (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I)^2 - 8*(31*x^3 - 17*x)*sqrt(x^2 + 1) - 277*x)*(2*sqrt(-1/4*I - 1/4) - I) - 10*(197*x^3 - 229*x)*sqrt(x^2 + 1) - 2780*x)*sqrt(-1/2*sqrt(-1/4*I - 1/4) + 1/4*I) + (430*x^4 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I)^3 + 1635*x^2 + 4*(277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I) - 5*(229*x^2 + 197)*sqrt(x^2 + 1) + 985)*sqrt(sqrt(x^2 + 1) + 1))/(x^5 + x)) + 6*x*sqrt(-1/2*sqrt(1/4*I - 1/4) - 1/4*I)*log(-((354*x^5 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I)^3 - 494*x^3 - 2*(62*x^5 + 143*x^3 - (211*x^3 - 277*x)*sqrt(x^2 + 1) - 339*x)*(2*sqrt(1/4*I - 1/4) + I)^2 + 5*(197*x^5 + 158*x^3 - 8*(77*x^3 - 139*x)*sqrt(x^2 + 1) - 1309*x)*(2*sqrt(1/4*I - 1/4) + I) - 2*(431*x^3 - 1567*x)*sqrt(x^2 + 1) - 3488*x)*sqrt(-1/2*sqrt(1/4*I - 1/4) - 1/4*I) + (678*x^4 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I)^3 - (68*x^4 + 401*x^2 - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(1/4*I - 1/4) + I)^2 + 1921*x^2 + 5*(229*x^4 + 753*x^2 - 4*(139*x^2 + 77)*sqrt(x^2 + 1) + 308)*(2*sqrt(1/4*I - 1/4) + I) - (1567*x^2 + 431)*sqrt(x^2 + 1) + 431)*sqrt(sqrt(x^2 + 1) + 1))/(x^5 + x)) - 6*x*sqrt(-1/2*sqrt(1/4*I - 1/4) - 1/4*I)*log(((354*x^5 + (211*x^5 + 154*x^3 - 12*(59*x^3 - 113*x)*sqrt(x^2 + 1) - 1567*x)*(2*sqrt(1/4*I - 1/4) + I)^3 - 494*x^3 - 2*(62*x^5 + 143*x^3 - (211*x^3 - 277*x)*sqrt(x^2 + 1) - 339*x)*(2*sqrt(1/4*I - 1/4) + I)^2 + 5*(197*x^5 + 158*x^3 - 8*(77*x^3 - 139*x)*sqrt(x^2 + 1) - 1309*x)*(2*sqrt(1/4*I - 1/4) + I) - 2*(431*x^3 - 1567*x)*sqrt(x^2 + 1) - 3488*x)*sqrt(-1/2*sqrt(1/4*I - 1/4) - 1/4*I) - (678*x^4 + (277*x^4 + 889*x^2 - 6*(113*x^2 + 59)*sqrt(x^2 + 1) + 354)*(2*sqrt(1/4*I - 1/4) + I)^3 - (68*x^4 + 401*x^2 - (277*x^2 + 211)*sqrt(x^2 + 1) + 211)*(2*sqrt(1/4*I - 1/4) + I)^2 + 1921*x^2 + 5*(229*x^4 + 753*x^2 - 4*(139*x^2 + 77)*sqrt(x^2 + 1) + 308)*(2*sqrt(1/4*I - 1/4) + I) - (1567*x^2 + 431)*sqrt(x^2 + 1) + 431)*sqrt(sqrt(x^2 + 1) + 1))/(x^5 + x)) + 8*(x^2 + sqrt(x^2 + 1) - 1)*sqrt(sqrt(x^2 + 1) + 1))/x","B",0
1679,1,72,0,0.443040," ","integrate((a^2*x^2+b^2)^(1/2)/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, a^{3} x^{3} + 11 \, a b^{2} x - {\left(3 \, a^{2} x^{2} + 7 \, b^{2}\right)} \sqrt{a^{2} x^{2} + b^{2}}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}{15 \, a b^{2}}"," ",0,"2/15*(3*a^3*x^3 + 11*a*b^2*x - (3*a^2*x^2 + 7*b^2)*sqrt(a^2*x^2 + b^2))*sqrt(a*x + sqrt(a^2*x^2 + b^2))/(a*b^2)","A",0
1680,-1,0,0,0.000000," ","integrate((-2*a+b+x)/((-a+x)*(-b+x)^2)^(1/4)/(b^2+a*d-(2*b+d)*x+x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1681,1,105,0,0.437548," ","integrate(x*(x^3+x^2)^(1/3),x, algorithm=""fricas"")","\frac{5}{81} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{1}{54} \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(18 \, x^{2} + 3 \, x - 5\right)} - \frac{5}{81} \, \log\left(-\frac{x - {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{5}{162} \, \log\left(\frac{x^{2} + {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"5/81*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + x^2)^(1/3))/x) + 1/54*(x^3 + x^2)^(1/3)*(18*x^2 + 3*x - 5) - 5/81*log(-(x - (x^3 + x^2)^(1/3))/x) + 5/162*log((x^2 + (x^3 + x^2)^(1/3)*x + (x^3 + x^2)^(2/3))/x^2)","A",0
1682,-1,0,0,0.000000," ","integrate((-(2*a-3*b)*b+2*(a-2*b)*x+x^2)/((-a+x)*(-b+x)^2)^(1/4)/(-a^3-b^2*d+(3*a^2+2*b*d)*x-(3*a+d)*x^2+x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1683,-1,0,0,0.000000," ","integrate((-1+x)^3*(-1+2*(-1+k)*x+k*x^2)/x/((1-x)*x*(-k*x+1))^(1/4)/(k*x-1)/(-1+(3+d)*x-(d*k+3)*x^2+x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1684,1,326,0,0.732449," ","integrate((a*x^2+b)/(a*x^2-b)/(a*x^3+b*x)^(1/2),x, algorithm=""fricas"")","-\left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a b}\right)^{\frac{1}{4}} \arctan\left(\frac{4 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} \sqrt{a x^{3} + b x} a b \left(\frac{1}{a b}\right)^{\frac{3}{4}}}{a x^{2} + b}\right) - \frac{1}{4} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a b}\right)^{\frac{1}{4}} \log\left(\frac{a^{2} x^{4} + 6 \, a b x^{2} + b^{2} + 8 \, \sqrt{a x^{3} + b x} {\left(\left(\frac{1}{4}\right)^{\frac{1}{4}} a b x \left(\frac{1}{a b}\right)^{\frac{1}{4}} + \left(\frac{1}{4}\right)^{\frac{3}{4}} {\left(a^{2} b x^{2} + a b^{2}\right)} \left(\frac{1}{a b}\right)^{\frac{3}{4}}\right)} + 4 \, {\left(a^{2} b x^{3} + a b^{2} x\right)} \sqrt{\frac{1}{a b}}}{a^{2} x^{4} - 2 \, a b x^{2} + b^{2}}\right) + \frac{1}{4} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a b}\right)^{\frac{1}{4}} \log\left(\frac{a^{2} x^{4} + 6 \, a b x^{2} + b^{2} - 8 \, \sqrt{a x^{3} + b x} {\left(\left(\frac{1}{4}\right)^{\frac{1}{4}} a b x \left(\frac{1}{a b}\right)^{\frac{1}{4}} + \left(\frac{1}{4}\right)^{\frac{3}{4}} {\left(a^{2} b x^{2} + a b^{2}\right)} \left(\frac{1}{a b}\right)^{\frac{3}{4}}\right)} + 4 \, {\left(a^{2} b x^{3} + a b^{2} x\right)} \sqrt{\frac{1}{a b}}}{a^{2} x^{4} - 2 \, a b x^{2} + b^{2}}\right)"," ",0,"-(1/4)^(1/4)*(1/(a*b))^(1/4)*arctan(4*(1/4)^(3/4)*sqrt(a*x^3 + b*x)*a*b*(1/(a*b))^(3/4)/(a*x^2 + b)) - 1/4*(1/4)^(1/4)*(1/(a*b))^(1/4)*log((a^2*x^4 + 6*a*b*x^2 + b^2 + 8*sqrt(a*x^3 + b*x)*((1/4)^(1/4)*a*b*x*(1/(a*b))^(1/4) + (1/4)^(3/4)*(a^2*b*x^2 + a*b^2)*(1/(a*b))^(3/4)) + 4*(a^2*b*x^3 + a*b^2*x)*sqrt(1/(a*b)))/(a^2*x^4 - 2*a*b*x^2 + b^2)) + 1/4*(1/4)^(1/4)*(1/(a*b))^(1/4)*log((a^2*x^4 + 6*a*b*x^2 + b^2 - 8*sqrt(a*x^3 + b*x)*((1/4)^(1/4)*a*b*x*(1/(a*b))^(1/4) + (1/4)^(3/4)*(a^2*b*x^2 + a*b^2)*(1/(a*b))^(3/4)) + 4*(a^2*b*x^3 + a*b^2*x)*sqrt(1/(a*b)))/(a^2*x^4 - 2*a*b*x^2 + b^2))","B",0
1685,-1,0,0,0.000000," ","integrate((a^2-2*a*x+x^2)*(-(2*a-3*b)*b+2*(a-2*b)*x+x^2)/((-a+x)*(-b+x)^2)^(3/4)/(-b^2-a^3*d+(3*a^2*d+2*b)*x-(3*a*d+1)*x^2+d*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1686,1,2796,0,0.754242," ","integrate((x^3-1)*(x^4+x^3)^(1/4)/(x^3+1),x, algorithm=""fricas"")","\frac{2}{2187} \cdot 2187^{\frac{7}{8}} \sqrt{-\sqrt{2} + 2} \arctan\left(-\frac{4374 \, x \sqrt{\sqrt{2} + 2} \sqrt{-\sqrt{2} + 2} + \sqrt{2} {\left(2187^{\frac{5}{8}} x \sqrt{\sqrt{2} + 2} - 27 \cdot 2187^{\frac{1}{8}} x \sqrt{-\sqrt{2} + 2}\right)} \sqrt{\frac{162 \cdot 27^{\frac{3}{4}} x^{2} + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(2187^{\frac{7}{8}} x \sqrt{\sqrt{2} + 2} - 81 \cdot 2187^{\frac{3}{8}} x \sqrt{-\sqrt{2} + 2}\right)} + 1458 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 4374 \, \sqrt{3} x - 54 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(2187^{\frac{5}{8}} \sqrt{\sqrt{2} + 2} - 27 \cdot 2187^{\frac{1}{8}} \sqrt{-\sqrt{2} + 2}\right)}}{4374 \, {\left(x {\left(\sqrt{2} + 2\right)} - x\right)}}\right) + \frac{2}{2187} \cdot 2187^{\frac{7}{8}} \sqrt{-\sqrt{2} + 2} \arctan\left(\frac{4374 \, x \sqrt{\sqrt{2} + 2} \sqrt{-\sqrt{2} + 2} - \sqrt{2} {\left(2187^{\frac{5}{8}} x \sqrt{\sqrt{2} + 2} - 27 \cdot 2187^{\frac{1}{8}} x \sqrt{-\sqrt{2} + 2}\right)} \sqrt{\frac{162 \cdot 27^{\frac{3}{4}} x^{2} - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(2187^{\frac{7}{8}} x \sqrt{\sqrt{2} + 2} - 81 \cdot 2187^{\frac{3}{8}} x \sqrt{-\sqrt{2} + 2}\right)} + 1458 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 4374 \, \sqrt{3} x + 54 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(2187^{\frac{5}{8}} \sqrt{\sqrt{2} + 2} - 27 \cdot 2187^{\frac{1}{8}} \sqrt{-\sqrt{2} + 2}\right)}}{4374 \, {\left(x {\left(\sqrt{2} + 2\right)} - x\right)}}\right) - \frac{2}{2187} \cdot 2187^{\frac{7}{8}} \sqrt{\sqrt{2} + 2} \arctan\left(-\frac{4374 \, x \sqrt{\sqrt{2} + 2} \sqrt{-\sqrt{2} + 2} - \sqrt{2} {\left(2187^{\frac{5}{8}} x \sqrt{-\sqrt{2} + 2} + 27 \cdot 2187^{\frac{1}{8}} x \sqrt{\sqrt{2} + 2}\right)} \sqrt{\frac{162 \cdot 27^{\frac{3}{4}} x^{2} + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(2187^{\frac{7}{8}} x \sqrt{-\sqrt{2} + 2} + 81 \cdot 2187^{\frac{3}{8}} x \sqrt{\sqrt{2} + 2}\right)} + 1458 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} + 4374 \, \sqrt{3} x + 54 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(2187^{\frac{5}{8}} \sqrt{-\sqrt{2} + 2} + 27 \cdot 2187^{\frac{1}{8}} \sqrt{\sqrt{2} + 2}\right)}}{4374 \, {\left(x {\left(\sqrt{2} + 2\right)} - 3 \, x\right)}}\right) - \frac{2}{2187} \cdot 2187^{\frac{7}{8}} \sqrt{\sqrt{2} + 2} \arctan\left(\frac{4374 \, x \sqrt{\sqrt{2} + 2} \sqrt{-\sqrt{2} + 2} + \sqrt{2} {\left(2187^{\frac{5}{8}} x \sqrt{-\sqrt{2} + 2} + 27 \cdot 2187^{\frac{1}{8}} x \sqrt{\sqrt{2} + 2}\right)} \sqrt{\frac{162 \cdot 27^{\frac{3}{4}} x^{2} - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(2187^{\frac{7}{8}} x \sqrt{-\sqrt{2} + 2} + 81 \cdot 2187^{\frac{3}{8}} x \sqrt{\sqrt{2} + 2}\right)} + 1458 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} + 4374 \, \sqrt{3} x - 54 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(2187^{\frac{5}{8}} \sqrt{-\sqrt{2} + 2} + 27 \cdot 2187^{\frac{1}{8}} \sqrt{\sqrt{2} + 2}\right)}}{4374 \, {\left(x {\left(\sqrt{2} + 2\right)} - 3 \, x\right)}}\right) + \frac{1}{4374} \cdot 2187^{\frac{7}{8}} \sqrt{\sqrt{2} + 2} \log\left(\frac{1458 \, {\left(162 \cdot 27^{\frac{3}{4}} x^{2} + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(2187^{\frac{7}{8}} x \sqrt{\sqrt{2} + 2} - 81 \cdot 2187^{\frac{3}{8}} x \sqrt{-\sqrt{2} + 2}\right)} + 1458 \, \sqrt{x^{4} + x^{3}}\right)}}{x^{2}}\right) - \frac{1}{4374} \cdot 2187^{\frac{7}{8}} \sqrt{\sqrt{2} + 2} \log\left(\frac{1458 \, {\left(162 \cdot 27^{\frac{3}{4}} x^{2} - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(2187^{\frac{7}{8}} x \sqrt{\sqrt{2} + 2} - 81 \cdot 2187^{\frac{3}{8}} x \sqrt{-\sqrt{2} + 2}\right)} + 1458 \, \sqrt{x^{4} + x^{3}}\right)}}{x^{2}}\right) + \frac{1}{4374} \cdot 2187^{\frac{7}{8}} \sqrt{-\sqrt{2} + 2} \log\left(\frac{1458 \, {\left(162 \cdot 27^{\frac{3}{4}} x^{2} + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(2187^{\frac{7}{8}} x \sqrt{-\sqrt{2} + 2} + 81 \cdot 2187^{\frac{3}{8}} x \sqrt{\sqrt{2} + 2}\right)} + 1458 \, \sqrt{x^{4} + x^{3}}\right)}}{x^{2}}\right) - \frac{1}{4374} \cdot 2187^{\frac{7}{8}} \sqrt{-\sqrt{2} + 2} \log\left(\frac{1458 \, {\left(162 \cdot 27^{\frac{3}{4}} x^{2} - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(2187^{\frac{7}{8}} x \sqrt{-\sqrt{2} + 2} + 81 \cdot 2187^{\frac{3}{8}} x \sqrt{\sqrt{2} + 2}\right)} + 1458 \, \sqrt{x^{4} + x^{3}}\right)}}{x^{2}}\right) - \frac{1}{2187} \, {\left(2187^{\frac{7}{8}} \sqrt{2} \sqrt{\sqrt{2} + 2} - 2187^{\frac{7}{8}} \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \arctan\left(\frac{8748 \, x {\left(\sqrt{2} + 2\right)} - 8748 \, \sqrt{3} x + {\left({\left(2187^{\frac{5}{8}} \sqrt{2} x - 27 \cdot 2187^{\frac{1}{8}} \sqrt{2} x\right)} \sqrt{\sqrt{2} + 2} + {\left(2187^{\frac{5}{8}} \sqrt{2} x + 27 \cdot 2187^{\frac{1}{8}} \sqrt{2} x\right)} \sqrt{-\sqrt{2} + 2}\right)} \sqrt{\frac{324 \cdot 27^{\frac{3}{4}} x^{2} + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left({\left(2187^{\frac{7}{8}} \sqrt{2} x - 81 \cdot 2187^{\frac{3}{8}} \sqrt{2} x\right)} \sqrt{\sqrt{2} + 2} + {\left(2187^{\frac{7}{8}} \sqrt{2} x + 81 \cdot 2187^{\frac{3}{8}} \sqrt{2} x\right)} \sqrt{-\sqrt{2} + 2}\right)} + 2916 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 54 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left({\left(2187^{\frac{5}{8}} \sqrt{2} - 27 \cdot 2187^{\frac{1}{8}} \sqrt{2}\right)} \sqrt{\sqrt{2} + 2} + {\left(2187^{\frac{5}{8}} \sqrt{2} + 27 \cdot 2187^{\frac{1}{8}} \sqrt{2}\right)} \sqrt{-\sqrt{2} + 2}\right)} - 17496 \, x}{8748 \, {\left(x \sqrt{\sqrt{2} + 2} \sqrt{-\sqrt{2} + 2} + x\right)}}\right) - \frac{1}{2187} \, {\left(2187^{\frac{7}{8}} \sqrt{2} \sqrt{\sqrt{2} + 2} - 2187^{\frac{7}{8}} \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \arctan\left(-\frac{8748 \, x {\left(\sqrt{2} + 2\right)} - 8748 \, \sqrt{3} x - {\left({\left(2187^{\frac{5}{8}} \sqrt{2} x - 27 \cdot 2187^{\frac{1}{8}} \sqrt{2} x\right)} \sqrt{\sqrt{2} + 2} + {\left(2187^{\frac{5}{8}} \sqrt{2} x + 27 \cdot 2187^{\frac{1}{8}} \sqrt{2} x\right)} \sqrt{-\sqrt{2} + 2}\right)} \sqrt{\frac{324 \cdot 27^{\frac{3}{4}} x^{2} - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left({\left(2187^{\frac{7}{8}} \sqrt{2} x - 81 \cdot 2187^{\frac{3}{8}} \sqrt{2} x\right)} \sqrt{\sqrt{2} + 2} + {\left(2187^{\frac{7}{8}} \sqrt{2} x + 81 \cdot 2187^{\frac{3}{8}} \sqrt{2} x\right)} \sqrt{-\sqrt{2} + 2}\right)} + 2916 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} + 54 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left({\left(2187^{\frac{5}{8}} \sqrt{2} - 27 \cdot 2187^{\frac{1}{8}} \sqrt{2}\right)} \sqrt{\sqrt{2} + 2} + {\left(2187^{\frac{5}{8}} \sqrt{2} + 27 \cdot 2187^{\frac{1}{8}} \sqrt{2}\right)} \sqrt{-\sqrt{2} + 2}\right)} - 17496 \, x}{8748 \, {\left(x \sqrt{\sqrt{2} + 2} \sqrt{-\sqrt{2} + 2} + x\right)}}\right) + \frac{1}{2187} \, {\left(2187^{\frac{7}{8}} \sqrt{2} \sqrt{\sqrt{2} + 2} + 2187^{\frac{7}{8}} \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \arctan\left(\frac{8748 \, x {\left(\sqrt{2} + 2\right)} + 8748 \, \sqrt{3} x - {\left({\left(2187^{\frac{5}{8}} \sqrt{2} x + 27 \cdot 2187^{\frac{1}{8}} \sqrt{2} x\right)} \sqrt{\sqrt{2} + 2} - {\left(2187^{\frac{5}{8}} \sqrt{2} x - 27 \cdot 2187^{\frac{1}{8}} \sqrt{2} x\right)} \sqrt{-\sqrt{2} + 2}\right)} \sqrt{\frac{324 \cdot 27^{\frac{3}{4}} x^{2} + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left({\left(2187^{\frac{7}{8}} \sqrt{2} x + 81 \cdot 2187^{\frac{3}{8}} \sqrt{2} x\right)} \sqrt{\sqrt{2} + 2} - {\left(2187^{\frac{7}{8}} \sqrt{2} x - 81 \cdot 2187^{\frac{3}{8}} \sqrt{2} x\right)} \sqrt{-\sqrt{2} + 2}\right)} + 2916 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} + 54 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left({\left(2187^{\frac{5}{8}} \sqrt{2} + 27 \cdot 2187^{\frac{1}{8}} \sqrt{2}\right)} \sqrt{\sqrt{2} + 2} - {\left(2187^{\frac{5}{8}} \sqrt{2} - 27 \cdot 2187^{\frac{1}{8}} \sqrt{2}\right)} \sqrt{-\sqrt{2} + 2}\right)} - 17496 \, x}{8748 \, {\left(x \sqrt{\sqrt{2} + 2} \sqrt{-\sqrt{2} + 2} - x\right)}}\right) + \frac{1}{2187} \, {\left(2187^{\frac{7}{8}} \sqrt{2} \sqrt{\sqrt{2} + 2} + 2187^{\frac{7}{8}} \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \arctan\left(-\frac{8748 \, x {\left(\sqrt{2} + 2\right)} + 8748 \, \sqrt{3} x + {\left({\left(2187^{\frac{5}{8}} \sqrt{2} x + 27 \cdot 2187^{\frac{1}{8}} \sqrt{2} x\right)} \sqrt{\sqrt{2} + 2} - {\left(2187^{\frac{5}{8}} \sqrt{2} x - 27 \cdot 2187^{\frac{1}{8}} \sqrt{2} x\right)} \sqrt{-\sqrt{2} + 2}\right)} \sqrt{\frac{324 \cdot 27^{\frac{3}{4}} x^{2} - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left({\left(2187^{\frac{7}{8}} \sqrt{2} x + 81 \cdot 2187^{\frac{3}{8}} \sqrt{2} x\right)} \sqrt{\sqrt{2} + 2} - {\left(2187^{\frac{7}{8}} \sqrt{2} x - 81 \cdot 2187^{\frac{3}{8}} \sqrt{2} x\right)} \sqrt{-\sqrt{2} + 2}\right)} + 2916 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 54 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left({\left(2187^{\frac{5}{8}} \sqrt{2} + 27 \cdot 2187^{\frac{1}{8}} \sqrt{2}\right)} \sqrt{\sqrt{2} + 2} - {\left(2187^{\frac{5}{8}} \sqrt{2} - 27 \cdot 2187^{\frac{1}{8}} \sqrt{2}\right)} \sqrt{-\sqrt{2} + 2}\right)} - 17496 \, x}{8748 \, {\left(x \sqrt{\sqrt{2} + 2} \sqrt{-\sqrt{2} + 2} - x\right)}}\right) + \frac{1}{8748} \, {\left(2187^{\frac{7}{8}} \sqrt{2} \sqrt{\sqrt{2} + 2} - 2187^{\frac{7}{8}} \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \log\left(\frac{2916 \, {\left(324 \cdot 27^{\frac{3}{4}} x^{2} + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left({\left(2187^{\frac{7}{8}} \sqrt{2} x + 81 \cdot 2187^{\frac{3}{8}} \sqrt{2} x\right)} \sqrt{\sqrt{2} + 2} - {\left(2187^{\frac{7}{8}} \sqrt{2} x - 81 \cdot 2187^{\frac{3}{8}} \sqrt{2} x\right)} \sqrt{-\sqrt{2} + 2}\right)} + 2916 \, \sqrt{x^{4} + x^{3}}\right)}}{x^{2}}\right) - \frac{1}{8748} \, {\left(2187^{\frac{7}{8}} \sqrt{2} \sqrt{\sqrt{2} + 2} - 2187^{\frac{7}{8}} \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \log\left(\frac{2916 \, {\left(324 \cdot 27^{\frac{3}{4}} x^{2} - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left({\left(2187^{\frac{7}{8}} \sqrt{2} x + 81 \cdot 2187^{\frac{3}{8}} \sqrt{2} x\right)} \sqrt{\sqrt{2} + 2} - {\left(2187^{\frac{7}{8}} \sqrt{2} x - 81 \cdot 2187^{\frac{3}{8}} \sqrt{2} x\right)} \sqrt{-\sqrt{2} + 2}\right)} + 2916 \, \sqrt{x^{4} + x^{3}}\right)}}{x^{2}}\right) + \frac{1}{8748} \, {\left(2187^{\frac{7}{8}} \sqrt{2} \sqrt{\sqrt{2} + 2} + 2187^{\frac{7}{8}} \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \log\left(\frac{2916 \, {\left(324 \cdot 27^{\frac{3}{4}} x^{2} + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left({\left(2187^{\frac{7}{8}} \sqrt{2} x - 81 \cdot 2187^{\frac{3}{8}} \sqrt{2} x\right)} \sqrt{\sqrt{2} + 2} + {\left(2187^{\frac{7}{8}} \sqrt{2} x + 81 \cdot 2187^{\frac{3}{8}} \sqrt{2} x\right)} \sqrt{-\sqrt{2} + 2}\right)} + 2916 \, \sqrt{x^{4} + x^{3}}\right)}}{x^{2}}\right) - \frac{1}{8748} \, {\left(2187^{\frac{7}{8}} \sqrt{2} \sqrt{\sqrt{2} + 2} + 2187^{\frac{7}{8}} \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \log\left(\frac{2916 \, {\left(324 \cdot 27^{\frac{3}{4}} x^{2} - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left({\left(2187^{\frac{7}{8}} \sqrt{2} x - 81 \cdot 2187^{\frac{3}{8}} \sqrt{2} x\right)} \sqrt{\sqrt{2} + 2} + {\left(2187^{\frac{7}{8}} \sqrt{2} x + 81 \cdot 2187^{\frac{3}{8}} \sqrt{2} x\right)} \sqrt{-\sqrt{2} + 2}\right)} + 2916 \, \sqrt{x^{4} + x^{3}}\right)}}{x^{2}}\right) + \frac{1}{8} \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(4 \, x + 1\right)} - \frac{3}{16} \, \arctan\left(\frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{3}{32} \, \log\left(\frac{x + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{3}{32} \, \log\left(-\frac{x - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"2/2187*2187^(7/8)*sqrt(-sqrt(2) + 2)*arctan(-1/4374*(4374*x*sqrt(sqrt(2) + 2)*sqrt(-sqrt(2) + 2) + sqrt(2)*(2187^(5/8)*x*sqrt(sqrt(2) + 2) - 27*2187^(1/8)*x*sqrt(-sqrt(2) + 2))*sqrt((162*27^(3/4)*x^2 + (x^4 + x^3)^(1/4)*(2187^(7/8)*x*sqrt(sqrt(2) + 2) - 81*2187^(3/8)*x*sqrt(-sqrt(2) + 2)) + 1458*sqrt(x^4 + x^3))/x^2) - 4374*sqrt(3)*x - 54*(x^4 + x^3)^(1/4)*(2187^(5/8)*sqrt(sqrt(2) + 2) - 27*2187^(1/8)*sqrt(-sqrt(2) + 2)))/(x*(sqrt(2) + 2) - x)) + 2/2187*2187^(7/8)*sqrt(-sqrt(2) + 2)*arctan(1/4374*(4374*x*sqrt(sqrt(2) + 2)*sqrt(-sqrt(2) + 2) - sqrt(2)*(2187^(5/8)*x*sqrt(sqrt(2) + 2) - 27*2187^(1/8)*x*sqrt(-sqrt(2) + 2))*sqrt((162*27^(3/4)*x^2 - (x^4 + x^3)^(1/4)*(2187^(7/8)*x*sqrt(sqrt(2) + 2) - 81*2187^(3/8)*x*sqrt(-sqrt(2) + 2)) + 1458*sqrt(x^4 + x^3))/x^2) - 4374*sqrt(3)*x + 54*(x^4 + x^3)^(1/4)*(2187^(5/8)*sqrt(sqrt(2) + 2) - 27*2187^(1/8)*sqrt(-sqrt(2) + 2)))/(x*(sqrt(2) + 2) - x)) - 2/2187*2187^(7/8)*sqrt(sqrt(2) + 2)*arctan(-1/4374*(4374*x*sqrt(sqrt(2) + 2)*sqrt(-sqrt(2) + 2) - sqrt(2)*(2187^(5/8)*x*sqrt(-sqrt(2) + 2) + 27*2187^(1/8)*x*sqrt(sqrt(2) + 2))*sqrt((162*27^(3/4)*x^2 + (x^4 + x^3)^(1/4)*(2187^(7/8)*x*sqrt(-sqrt(2) + 2) + 81*2187^(3/8)*x*sqrt(sqrt(2) + 2)) + 1458*sqrt(x^4 + x^3))/x^2) + 4374*sqrt(3)*x + 54*(x^4 + x^3)^(1/4)*(2187^(5/8)*sqrt(-sqrt(2) + 2) + 27*2187^(1/8)*sqrt(sqrt(2) + 2)))/(x*(sqrt(2) + 2) - 3*x)) - 2/2187*2187^(7/8)*sqrt(sqrt(2) + 2)*arctan(1/4374*(4374*x*sqrt(sqrt(2) + 2)*sqrt(-sqrt(2) + 2) + sqrt(2)*(2187^(5/8)*x*sqrt(-sqrt(2) + 2) + 27*2187^(1/8)*x*sqrt(sqrt(2) + 2))*sqrt((162*27^(3/4)*x^2 - (x^4 + x^3)^(1/4)*(2187^(7/8)*x*sqrt(-sqrt(2) + 2) + 81*2187^(3/8)*x*sqrt(sqrt(2) + 2)) + 1458*sqrt(x^4 + x^3))/x^2) + 4374*sqrt(3)*x - 54*(x^4 + x^3)^(1/4)*(2187^(5/8)*sqrt(-sqrt(2) + 2) + 27*2187^(1/8)*sqrt(sqrt(2) + 2)))/(x*(sqrt(2) + 2) - 3*x)) + 1/4374*2187^(7/8)*sqrt(sqrt(2) + 2)*log(1458*(162*27^(3/4)*x^2 + (x^4 + x^3)^(1/4)*(2187^(7/8)*x*sqrt(sqrt(2) + 2) - 81*2187^(3/8)*x*sqrt(-sqrt(2) + 2)) + 1458*sqrt(x^4 + x^3))/x^2) - 1/4374*2187^(7/8)*sqrt(sqrt(2) + 2)*log(1458*(162*27^(3/4)*x^2 - (x^4 + x^3)^(1/4)*(2187^(7/8)*x*sqrt(sqrt(2) + 2) - 81*2187^(3/8)*x*sqrt(-sqrt(2) + 2)) + 1458*sqrt(x^4 + x^3))/x^2) + 1/4374*2187^(7/8)*sqrt(-sqrt(2) + 2)*log(1458*(162*27^(3/4)*x^2 + (x^4 + x^3)^(1/4)*(2187^(7/8)*x*sqrt(-sqrt(2) + 2) + 81*2187^(3/8)*x*sqrt(sqrt(2) + 2)) + 1458*sqrt(x^4 + x^3))/x^2) - 1/4374*2187^(7/8)*sqrt(-sqrt(2) + 2)*log(1458*(162*27^(3/4)*x^2 - (x^4 + x^3)^(1/4)*(2187^(7/8)*x*sqrt(-sqrt(2) + 2) + 81*2187^(3/8)*x*sqrt(sqrt(2) + 2)) + 1458*sqrt(x^4 + x^3))/x^2) - 1/2187*(2187^(7/8)*sqrt(2)*sqrt(sqrt(2) + 2) - 2187^(7/8)*sqrt(2)*sqrt(-sqrt(2) + 2))*arctan(1/8748*(8748*x*(sqrt(2) + 2) - 8748*sqrt(3)*x + ((2187^(5/8)*sqrt(2)*x - 27*2187^(1/8)*sqrt(2)*x)*sqrt(sqrt(2) + 2) + (2187^(5/8)*sqrt(2)*x + 27*2187^(1/8)*sqrt(2)*x)*sqrt(-sqrt(2) + 2))*sqrt((324*27^(3/4)*x^2 + (x^4 + x^3)^(1/4)*((2187^(7/8)*sqrt(2)*x - 81*2187^(3/8)*sqrt(2)*x)*sqrt(sqrt(2) + 2) + (2187^(7/8)*sqrt(2)*x + 81*2187^(3/8)*sqrt(2)*x)*sqrt(-sqrt(2) + 2)) + 2916*sqrt(x^4 + x^3))/x^2) - 54*(x^4 + x^3)^(1/4)*((2187^(5/8)*sqrt(2) - 27*2187^(1/8)*sqrt(2))*sqrt(sqrt(2) + 2) + (2187^(5/8)*sqrt(2) + 27*2187^(1/8)*sqrt(2))*sqrt(-sqrt(2) + 2)) - 17496*x)/(x*sqrt(sqrt(2) + 2)*sqrt(-sqrt(2) + 2) + x)) - 1/2187*(2187^(7/8)*sqrt(2)*sqrt(sqrt(2) + 2) - 2187^(7/8)*sqrt(2)*sqrt(-sqrt(2) + 2))*arctan(-1/8748*(8748*x*(sqrt(2) + 2) - 8748*sqrt(3)*x - ((2187^(5/8)*sqrt(2)*x - 27*2187^(1/8)*sqrt(2)*x)*sqrt(sqrt(2) + 2) + (2187^(5/8)*sqrt(2)*x + 27*2187^(1/8)*sqrt(2)*x)*sqrt(-sqrt(2) + 2))*sqrt((324*27^(3/4)*x^2 - (x^4 + x^3)^(1/4)*((2187^(7/8)*sqrt(2)*x - 81*2187^(3/8)*sqrt(2)*x)*sqrt(sqrt(2) + 2) + (2187^(7/8)*sqrt(2)*x + 81*2187^(3/8)*sqrt(2)*x)*sqrt(-sqrt(2) + 2)) + 2916*sqrt(x^4 + x^3))/x^2) + 54*(x^4 + x^3)^(1/4)*((2187^(5/8)*sqrt(2) - 27*2187^(1/8)*sqrt(2))*sqrt(sqrt(2) + 2) + (2187^(5/8)*sqrt(2) + 27*2187^(1/8)*sqrt(2))*sqrt(-sqrt(2) + 2)) - 17496*x)/(x*sqrt(sqrt(2) + 2)*sqrt(-sqrt(2) + 2) + x)) + 1/2187*(2187^(7/8)*sqrt(2)*sqrt(sqrt(2) + 2) + 2187^(7/8)*sqrt(2)*sqrt(-sqrt(2) + 2))*arctan(1/8748*(8748*x*(sqrt(2) + 2) + 8748*sqrt(3)*x - ((2187^(5/8)*sqrt(2)*x + 27*2187^(1/8)*sqrt(2)*x)*sqrt(sqrt(2) + 2) - (2187^(5/8)*sqrt(2)*x - 27*2187^(1/8)*sqrt(2)*x)*sqrt(-sqrt(2) + 2))*sqrt((324*27^(3/4)*x^2 + (x^4 + x^3)^(1/4)*((2187^(7/8)*sqrt(2)*x + 81*2187^(3/8)*sqrt(2)*x)*sqrt(sqrt(2) + 2) - (2187^(7/8)*sqrt(2)*x - 81*2187^(3/8)*sqrt(2)*x)*sqrt(-sqrt(2) + 2)) + 2916*sqrt(x^4 + x^3))/x^2) + 54*(x^4 + x^3)^(1/4)*((2187^(5/8)*sqrt(2) + 27*2187^(1/8)*sqrt(2))*sqrt(sqrt(2) + 2) - (2187^(5/8)*sqrt(2) - 27*2187^(1/8)*sqrt(2))*sqrt(-sqrt(2) + 2)) - 17496*x)/(x*sqrt(sqrt(2) + 2)*sqrt(-sqrt(2) + 2) - x)) + 1/2187*(2187^(7/8)*sqrt(2)*sqrt(sqrt(2) + 2) + 2187^(7/8)*sqrt(2)*sqrt(-sqrt(2) + 2))*arctan(-1/8748*(8748*x*(sqrt(2) + 2) + 8748*sqrt(3)*x + ((2187^(5/8)*sqrt(2)*x + 27*2187^(1/8)*sqrt(2)*x)*sqrt(sqrt(2) + 2) - (2187^(5/8)*sqrt(2)*x - 27*2187^(1/8)*sqrt(2)*x)*sqrt(-sqrt(2) + 2))*sqrt((324*27^(3/4)*x^2 - (x^4 + x^3)^(1/4)*((2187^(7/8)*sqrt(2)*x + 81*2187^(3/8)*sqrt(2)*x)*sqrt(sqrt(2) + 2) - (2187^(7/8)*sqrt(2)*x - 81*2187^(3/8)*sqrt(2)*x)*sqrt(-sqrt(2) + 2)) + 2916*sqrt(x^4 + x^3))/x^2) - 54*(x^4 + x^3)^(1/4)*((2187^(5/8)*sqrt(2) + 27*2187^(1/8)*sqrt(2))*sqrt(sqrt(2) + 2) - (2187^(5/8)*sqrt(2) - 27*2187^(1/8)*sqrt(2))*sqrt(-sqrt(2) + 2)) - 17496*x)/(x*sqrt(sqrt(2) + 2)*sqrt(-sqrt(2) + 2) - x)) + 1/8748*(2187^(7/8)*sqrt(2)*sqrt(sqrt(2) + 2) - 2187^(7/8)*sqrt(2)*sqrt(-sqrt(2) + 2))*log(2916*(324*27^(3/4)*x^2 + (x^4 + x^3)^(1/4)*((2187^(7/8)*sqrt(2)*x + 81*2187^(3/8)*sqrt(2)*x)*sqrt(sqrt(2) + 2) - (2187^(7/8)*sqrt(2)*x - 81*2187^(3/8)*sqrt(2)*x)*sqrt(-sqrt(2) + 2)) + 2916*sqrt(x^4 + x^3))/x^2) - 1/8748*(2187^(7/8)*sqrt(2)*sqrt(sqrt(2) + 2) - 2187^(7/8)*sqrt(2)*sqrt(-sqrt(2) + 2))*log(2916*(324*27^(3/4)*x^2 - (x^4 + x^3)^(1/4)*((2187^(7/8)*sqrt(2)*x + 81*2187^(3/8)*sqrt(2)*x)*sqrt(sqrt(2) + 2) - (2187^(7/8)*sqrt(2)*x - 81*2187^(3/8)*sqrt(2)*x)*sqrt(-sqrt(2) + 2)) + 2916*sqrt(x^4 + x^3))/x^2) + 1/8748*(2187^(7/8)*sqrt(2)*sqrt(sqrt(2) + 2) + 2187^(7/8)*sqrt(2)*sqrt(-sqrt(2) + 2))*log(2916*(324*27^(3/4)*x^2 + (x^4 + x^3)^(1/4)*((2187^(7/8)*sqrt(2)*x - 81*2187^(3/8)*sqrt(2)*x)*sqrt(sqrt(2) + 2) + (2187^(7/8)*sqrt(2)*x + 81*2187^(3/8)*sqrt(2)*x)*sqrt(-sqrt(2) + 2)) + 2916*sqrt(x^4 + x^3))/x^2) - 1/8748*(2187^(7/8)*sqrt(2)*sqrt(sqrt(2) + 2) + 2187^(7/8)*sqrt(2)*sqrt(-sqrt(2) + 2))*log(2916*(324*27^(3/4)*x^2 - (x^4 + x^3)^(1/4)*((2187^(7/8)*sqrt(2)*x - 81*2187^(3/8)*sqrt(2)*x)*sqrt(sqrt(2) + 2) + (2187^(7/8)*sqrt(2)*x + 81*2187^(3/8)*sqrt(2)*x)*sqrt(-sqrt(2) + 2)) + 2916*sqrt(x^4 + x^3))/x^2) + 1/8*(x^4 + x^3)^(1/4)*(4*x + 1) - 3/16*arctan((x^4 + x^3)^(1/4)/x) - 3/32*log((x + (x^4 + x^3)^(1/4))/x) + 3/32*log(-(x - (x^4 + x^3)^(1/4))/x)","B",0
1687,1,514,0,78.070944," ","integrate((a*x^2-b)/x^2/(a*x^2+b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""fricas"")","-\frac{12 \, \left(\frac{1}{2}\right)^{\frac{1}{4}} b x^{3} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} \arctan\left(\frac{2 \, {\left(2 \, \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} a^{4} b x^{2} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} + 2 \, \left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(a x^{4} - b x^{2}\right)}^{\frac{3}{4}} a^{2} b^{3} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{3}{4}} + {\left(2 \, \left(\frac{1}{2}\right)^{\frac{1}{4}} \sqrt{a x^{4} - b x^{2}} a^{2} b x \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} + \left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(3 \, a b^{3} x^{3} - b^{4} x\right)} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{3}{4}}\right)} \sqrt{\sqrt{\frac{1}{2}} a^{2} b^{2} \sqrt{\frac{a^{3}}{b^{4}}}}\right)}}{a^{5} x^{3} + a^{4} b x}\right) - 3 \, \left(\frac{1}{2}\right)^{\frac{1}{4}} b x^{3} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} \log\left(\frac{4 \, \sqrt{\frac{1}{2}} {\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} a b^{2} x^{2} \sqrt{\frac{a^{3}}{b^{4}}} + 4 \, \left(\frac{1}{2}\right)^{\frac{3}{4}} \sqrt{a x^{4} - b x^{2}} b^{3} x \left(\frac{a^{3}}{b^{4}}\right)^{\frac{3}{4}} + 2 \, {\left(a x^{4} - b x^{2}\right)}^{\frac{3}{4}} a^{2} + \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(3 \, a^{2} b x^{3} - a b^{2} x\right)} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}}}{a x^{3} + b x}\right) + 3 \, \left(\frac{1}{2}\right)^{\frac{1}{4}} b x^{3} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} \log\left(\frac{4 \, \sqrt{\frac{1}{2}} {\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} a b^{2} x^{2} \sqrt{\frac{a^{3}}{b^{4}}} - 4 \, \left(\frac{1}{2}\right)^{\frac{3}{4}} \sqrt{a x^{4} - b x^{2}} b^{3} x \left(\frac{a^{3}}{b^{4}}\right)^{\frac{3}{4}} + 2 \, {\left(a x^{4} - b x^{2}\right)}^{\frac{3}{4}} a^{2} - \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(3 \, a^{2} b x^{3} - a b^{2} x\right)} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}}}{a x^{3} + b x}\right) + 4 \, {\left(a x^{4} - b x^{2}\right)}^{\frac{3}{4}}}{6 \, b x^{3}}"," ",0,"-1/6*(12*(1/2)^(1/4)*b*x^3*(a^3/b^4)^(1/4)*arctan(2*(2*(1/2)^(1/4)*(a*x^4 - b*x^2)^(1/4)*a^4*b*x^2*(a^3/b^4)^(1/4) + 2*(1/2)^(3/4)*(a*x^4 - b*x^2)^(3/4)*a^2*b^3*(a^3/b^4)^(3/4) + (2*(1/2)^(1/4)*sqrt(a*x^4 - b*x^2)*a^2*b*x*(a^3/b^4)^(1/4) + (1/2)^(3/4)*(3*a*b^3*x^3 - b^4*x)*(a^3/b^4)^(3/4))*sqrt(sqrt(1/2)*a^2*b^2*sqrt(a^3/b^4)))/(a^5*x^3 + a^4*b*x)) - 3*(1/2)^(1/4)*b*x^3*(a^3/b^4)^(1/4)*log((4*sqrt(1/2)*(a*x^4 - b*x^2)^(1/4)*a*b^2*x^2*sqrt(a^3/b^4) + 4*(1/2)^(3/4)*sqrt(a*x^4 - b*x^2)*b^3*x*(a^3/b^4)^(3/4) + 2*(a*x^4 - b*x^2)^(3/4)*a^2 + (1/2)^(1/4)*(3*a^2*b*x^3 - a*b^2*x)*(a^3/b^4)^(1/4))/(a*x^3 + b*x)) + 3*(1/2)^(1/4)*b*x^3*(a^3/b^4)^(1/4)*log((4*sqrt(1/2)*(a*x^4 - b*x^2)^(1/4)*a*b^2*x^2*sqrt(a^3/b^4) - 4*(1/2)^(3/4)*sqrt(a*x^4 - b*x^2)*b^3*x*(a^3/b^4)^(3/4) + 2*(a*x^4 - b*x^2)^(3/4)*a^2 - (1/2)^(1/4)*(3*a^2*b*x^3 - a*b^2*x)*(a^3/b^4)^(1/4))/(a*x^3 + b*x)) + 4*(a*x^4 - b*x^2)^(3/4))/(b*x^3)","B",0
1688,-1,0,0,0.000000," ","integrate((-b+x)*(-6*a+b+5*x)/((-a+x)*(-b+x)^2)^(1/4)/(b^6+a*d-(6*b^5+d)*x+15*b^4*x^2-20*b^3*x^3+15*b^2*x^4-6*b*x^5+x^6),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1689,-1,0,0,0.000000," ","integrate((-6*a+b+5*x)*(-b^5+5*b^4*x-10*b^3*x^2+10*b^2*x^3-5*b*x^4+x^5)/((-a+x)*(-b+x)^2)^(3/4)/(a+b^6*d-(6*b^5*d+1)*x+15*b^4*d*x^2-20*b^3*d*x^3+15*b^2*d*x^4-6*b*d*x^5+d*x^6),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1690,-1,0,0,0.000000," ","integrate(x^4*(x^4+x^2)^(1/4)/(x^8-1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1691,-1,0,0,0.000000," ","integrate(x^4*(x^4+x^2)^(1/4)/(x^8-1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1692,-1,0,0,0.000000," ","integrate(x^4/(x^4+x^2)^(1/4)/(x^8+x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1693,-1,0,0,0.000000," ","integrate(x^4/(x^4+x^2)^(1/4)/(x^8+x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1694,1,236,0,1.226544," ","integrate(x^6*(x^3+4)/(x^3+1)^(3/4)/(x^8-x^6-2*x^3-1),x, algorithm=""fricas"")","\sqrt{2} \arctan\left(\frac{\sqrt{2} x \sqrt{\frac{x^{2} + \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{1}{4}} x + \sqrt{x^{3} + 1}}{x^{2}}} - x - \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{1}{4}}}{x}\right) + \sqrt{2} \arctan\left(\frac{\sqrt{2} x \sqrt{\frac{x^{2} - \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{1}{4}} x + \sqrt{x^{3} + 1}}{x^{2}}} + x - \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{4} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{2} + \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{1}{4}} x + \sqrt{x^{3} + 1}\right)}}{x^{2}}\right) + \frac{1}{4} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{2} - \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{1}{4}} x + \sqrt{x^{3} + 1}\right)}}{x^{2}}\right) - \arctan\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \log\left(\frac{x + {\left(x^{3} + 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \log\left(-\frac{x - {\left(x^{3} + 1\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"sqrt(2)*arctan((sqrt(2)*x*sqrt((x^2 + sqrt(2)*(x^3 + 1)^(1/4)*x + sqrt(x^3 + 1))/x^2) - x - sqrt(2)*(x^3 + 1)^(1/4))/x) + sqrt(2)*arctan((sqrt(2)*x*sqrt((x^2 - sqrt(2)*(x^3 + 1)^(1/4)*x + sqrt(x^3 + 1))/x^2) + x - sqrt(2)*(x^3 + 1)^(1/4))/x) - 1/4*sqrt(2)*log(4*(x^2 + sqrt(2)*(x^3 + 1)^(1/4)*x + sqrt(x^3 + 1))/x^2) + 1/4*sqrt(2)*log(4*(x^2 - sqrt(2)*(x^3 + 1)^(1/4)*x + sqrt(x^3 + 1))/x^2) - arctan((x^3 + 1)^(1/4)/x) - 1/2*log((x + (x^3 + 1)^(1/4))/x) + 1/2*log(-(x - (x^3 + 1)^(1/4))/x)","B",0
1695,1,106,0,0.567593," ","integrate(x^10*(x^3-1)^(1/3),x, algorithm=""fricas"")","-\frac{10}{729} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{1}{972} \, {\left(81 \, x^{11} - 9 \, x^{8} - 12 \, x^{5} - 20 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}} + \frac{10}{729} \, \log\left(-\frac{x - {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x}\right) - \frac{5}{729} \, \log\left(\frac{x^{2} + {\left(x^{3} - 1\right)}^{\frac{1}{3}} x + {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-10/729*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 - 1)^(1/3))/x) + 1/972*(81*x^11 - 9*x^8 - 12*x^5 - 20*x^2)*(x^3 - 1)^(1/3) + 10/729*log(-(x - (x^3 - 1)^(1/3))/x) - 5/729*log((x^2 + (x^3 - 1)^(1/3)*x + (x^3 - 1)^(2/3))/x^2)","A",0
1696,1,137,0,3.119636," ","integrate(x/(-1+x)/(x^3-x^2)^(1/3),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} {\left(x^{2} - x\right)} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) + 2 \, {\left(x^{2} - x\right)} \log\left(-\frac{x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) - {\left(x^{2} - x\right)} \log\left(\frac{x^{2} + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) + 6 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{2 \, {\left(x^{2} - x\right)}}"," ",0,"-1/2*(2*sqrt(3)*(x^2 - x)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 - x^2)^(1/3))/x) + 2*(x^2 - x)*log(-(x - (x^3 - x^2)^(1/3))/x) - (x^2 - x)*log((x^2 + (x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(2/3))/x^2) + 6*(x^3 - x^2)^(2/3))/(x^2 - x)","A",0
1697,1,137,0,1.764609," ","integrate((1+x)/(-1+x)/(x^3-x^2)^(1/3),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} {\left(x^{2} - x\right)} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) + 2 \, {\left(x^{2} - x\right)} \log\left(-\frac{x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) - {\left(x^{2} - x\right)} \log\left(\frac{x^{2} + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) + 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{2 \, {\left(x^{2} - x\right)}}"," ",0,"-1/2*(2*sqrt(3)*(x^2 - x)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 - x^2)^(1/3))/x) + 2*(x^2 - x)*log(-(x - (x^3 - x^2)^(1/3))/x) - (x^2 - x)*log((x^2 + (x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(2/3))/x^2) + 12*(x^3 - x^2)^(2/3))/(x^2 - x)","A",0
1698,-1,0,0,0.000000," ","integrate((a*x-2*b)/(a*x+x^2-b)/(a*x^3-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1699,-2,0,0,0.000000," ","integrate((x^2+1)*(2*x^3-x)^(1/3)/x^2/(x^4+1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1700,1,1098,0,7.161225," ","integrate((-1+x)/(x^2+x+1)/(x^4+1)^(1/4),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \arctan\left(-\frac{x^{8} + 4 \, x^{7} + 10 \, x^{6} + 16 \, x^{5} + 19 \, x^{4} + 16 \, x^{3} + \sqrt{2} {\left(x^{5} + 7 \, x^{4} + 15 \, x^{3} + 15 \, x^{2} + 7 \, x + 1\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + 10 \, x^{2} - \sqrt{2} {\left(x^{7} + x^{6} - 6 \, x^{5} - 16 \, x^{4} - 16 \, x^{3} - 6 \, x^{2} + x + 1\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}} + 2 \, {\left(x^{6} + 4 \, x^{5} + 8 \, x^{4} + 10 \, x^{3} + 8 \, x^{2} + 4 \, x + 1\right)} \sqrt{x^{4} + 1} - {\left(\sqrt{2} {\left(x^{6} + 8 \, x^{5} + 22 \, x^{4} + 30 \, x^{3} + 22 \, x^{2} + 8 \, x + 1\right)} \sqrt{x^{4} + 1} + 4 \, {\left(x^{5} + 5 \, x^{4} + 10 \, x^{3} + 10 \, x^{2} + 5 \, x + 1\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + \sqrt{2} {\left(2 \, x^{8} + 10 \, x^{7} + 19 \, x^{6} + 22 \, x^{5} + 21 \, x^{4} + 22 \, x^{3} + 19 \, x^{2} + 10 \, x + 2\right)} + 2 \, {\left(x^{7} + 5 \, x^{6} + 12 \, x^{5} + 18 \, x^{4} + 18 \, x^{3} + 12 \, x^{2} + 5 \, x + 1\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{4} + 2 \, x^{3} - \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{3}{4}} {\left(x + 1\right)} + 3 \, x^{2} - \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)} + 2 \, \sqrt{x^{4} + 1} {\left(x^{2} + 2 \, x + 1\right)} + 2 \, x + 1}{x^{4} + 2 \, x^{3} + 3 \, x^{2} + 2 \, x + 1}} + 4 \, x + 1}{3 \, x^{8} + 12 \, x^{7} + 14 \, x^{6} - 11 \, x^{4} + 14 \, x^{2} + 12 \, x + 3}\right) - \frac{1}{2} \, \sqrt{2} \arctan\left(-\frac{x^{8} + 4 \, x^{7} + 10 \, x^{6} + 16 \, x^{5} + 19 \, x^{4} + 16 \, x^{3} - \sqrt{2} {\left(x^{5} + 7 \, x^{4} + 15 \, x^{3} + 15 \, x^{2} + 7 \, x + 1\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + 10 \, x^{2} + \sqrt{2} {\left(x^{7} + x^{6} - 6 \, x^{5} - 16 \, x^{4} - 16 \, x^{3} - 6 \, x^{2} + x + 1\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}} + 2 \, {\left(x^{6} + 4 \, x^{5} + 8 \, x^{4} + 10 \, x^{3} + 8 \, x^{2} + 4 \, x + 1\right)} \sqrt{x^{4} + 1} + {\left(\sqrt{2} {\left(x^{6} + 8 \, x^{5} + 22 \, x^{4} + 30 \, x^{3} + 22 \, x^{2} + 8 \, x + 1\right)} \sqrt{x^{4} + 1} - 4 \, {\left(x^{5} + 5 \, x^{4} + 10 \, x^{3} + 10 \, x^{2} + 5 \, x + 1\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + \sqrt{2} {\left(2 \, x^{8} + 10 \, x^{7} + 19 \, x^{6} + 22 \, x^{5} + 21 \, x^{4} + 22 \, x^{3} + 19 \, x^{2} + 10 \, x + 2\right)} - 2 \, {\left(x^{7} + 5 \, x^{6} + 12 \, x^{5} + 18 \, x^{4} + 18 \, x^{3} + 12 \, x^{2} + 5 \, x + 1\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{4} + 2 \, x^{3} + \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{3}{4}} {\left(x + 1\right)} + 3 \, x^{2} + \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)} + 2 \, \sqrt{x^{4} + 1} {\left(x^{2} + 2 \, x + 1\right)} + 2 \, x + 1}{x^{4} + 2 \, x^{3} + 3 \, x^{2} + 2 \, x + 1}} + 4 \, x + 1}{3 \, x^{8} + 12 \, x^{7} + 14 \, x^{6} - 11 \, x^{4} + 14 \, x^{2} + 12 \, x + 3}\right) - \frac{1}{8} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{4} + 2 \, x^{3} + \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{3}{4}} {\left(x + 1\right)} + 3 \, x^{2} + \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)} + 2 \, \sqrt{x^{4} + 1} {\left(x^{2} + 2 \, x + 1\right)} + 2 \, x + 1\right)}}{x^{4} + 2 \, x^{3} + 3 \, x^{2} + 2 \, x + 1}\right) + \frac{1}{8} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{4} + 2 \, x^{3} - \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{3}{4}} {\left(x + 1\right)} + 3 \, x^{2} - \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)} + 2 \, \sqrt{x^{4} + 1} {\left(x^{2} + 2 \, x + 1\right)} + 2 \, x + 1\right)}}{x^{4} + 2 \, x^{3} + 3 \, x^{2} + 2 \, x + 1}\right)"," ",0,"1/2*sqrt(2)*arctan(-(x^8 + 4*x^7 + 10*x^6 + 16*x^5 + 19*x^4 + 16*x^3 + sqrt(2)*(x^5 + 7*x^4 + 15*x^3 + 15*x^2 + 7*x + 1)*(x^4 + 1)^(3/4) + 10*x^2 - sqrt(2)*(x^7 + x^6 - 6*x^5 - 16*x^4 - 16*x^3 - 6*x^2 + x + 1)*(x^4 + 1)^(1/4) + 2*(x^6 + 4*x^5 + 8*x^4 + 10*x^3 + 8*x^2 + 4*x + 1)*sqrt(x^4 + 1) - (sqrt(2)*(x^6 + 8*x^5 + 22*x^4 + 30*x^3 + 22*x^2 + 8*x + 1)*sqrt(x^4 + 1) + 4*(x^5 + 5*x^4 + 10*x^3 + 10*x^2 + 5*x + 1)*(x^4 + 1)^(3/4) + sqrt(2)*(2*x^8 + 10*x^7 + 19*x^6 + 22*x^5 + 21*x^4 + 22*x^3 + 19*x^2 + 10*x + 2) + 2*(x^7 + 5*x^6 + 12*x^5 + 18*x^4 + 18*x^3 + 12*x^2 + 5*x + 1)*(x^4 + 1)^(1/4))*sqrt((x^4 + 2*x^3 - sqrt(2)*(x^4 + 1)^(3/4)*(x + 1) + 3*x^2 - sqrt(2)*(x^4 + 1)^(1/4)*(x^3 + 3*x^2 + 3*x + 1) + 2*sqrt(x^4 + 1)*(x^2 + 2*x + 1) + 2*x + 1)/(x^4 + 2*x^3 + 3*x^2 + 2*x + 1)) + 4*x + 1)/(3*x^8 + 12*x^7 + 14*x^6 - 11*x^4 + 14*x^2 + 12*x + 3)) - 1/2*sqrt(2)*arctan(-(x^8 + 4*x^7 + 10*x^6 + 16*x^5 + 19*x^4 + 16*x^3 - sqrt(2)*(x^5 + 7*x^4 + 15*x^3 + 15*x^2 + 7*x + 1)*(x^4 + 1)^(3/4) + 10*x^2 + sqrt(2)*(x^7 + x^6 - 6*x^5 - 16*x^4 - 16*x^3 - 6*x^2 + x + 1)*(x^4 + 1)^(1/4) + 2*(x^6 + 4*x^5 + 8*x^4 + 10*x^3 + 8*x^2 + 4*x + 1)*sqrt(x^4 + 1) + (sqrt(2)*(x^6 + 8*x^5 + 22*x^4 + 30*x^3 + 22*x^2 + 8*x + 1)*sqrt(x^4 + 1) - 4*(x^5 + 5*x^4 + 10*x^3 + 10*x^2 + 5*x + 1)*(x^4 + 1)^(3/4) + sqrt(2)*(2*x^8 + 10*x^7 + 19*x^6 + 22*x^5 + 21*x^4 + 22*x^3 + 19*x^2 + 10*x + 2) - 2*(x^7 + 5*x^6 + 12*x^5 + 18*x^4 + 18*x^3 + 12*x^2 + 5*x + 1)*(x^4 + 1)^(1/4))*sqrt((x^4 + 2*x^3 + sqrt(2)*(x^4 + 1)^(3/4)*(x + 1) + 3*x^2 + sqrt(2)*(x^4 + 1)^(1/4)*(x^3 + 3*x^2 + 3*x + 1) + 2*sqrt(x^4 + 1)*(x^2 + 2*x + 1) + 2*x + 1)/(x^4 + 2*x^3 + 3*x^2 + 2*x + 1)) + 4*x + 1)/(3*x^8 + 12*x^7 + 14*x^6 - 11*x^4 + 14*x^2 + 12*x + 3)) - 1/8*sqrt(2)*log(4*(x^4 + 2*x^3 + sqrt(2)*(x^4 + 1)^(3/4)*(x + 1) + 3*x^2 + sqrt(2)*(x^4 + 1)^(1/4)*(x^3 + 3*x^2 + 3*x + 1) + 2*sqrt(x^4 + 1)*(x^2 + 2*x + 1) + 2*x + 1)/(x^4 + 2*x^3 + 3*x^2 + 2*x + 1)) + 1/8*sqrt(2)*log(4*(x^4 + 2*x^3 - sqrt(2)*(x^4 + 1)^(3/4)*(x + 1) + 3*x^2 - sqrt(2)*(x^4 + 1)^(1/4)*(x^3 + 3*x^2 + 3*x + 1) + 2*sqrt(x^4 + 1)*(x^2 + 2*x + 1) + 2*x + 1)/(x^4 + 2*x^3 + 3*x^2 + 2*x + 1))","B",0
1701,1,183,0,0.475547," ","integrate(x^2*(x^4+x^3)^(1/4)/(-1+x),x, algorithm=""fricas"")","\frac{1}{96} \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(32 \, x^{2} + 52 \, x + 101\right)} + 4 \cdot 2^{\frac{1}{4}} \arctan\left(\frac{2^{\frac{3}{4}} x \sqrt{\frac{\sqrt{2} x^{2} + \sqrt{x^{4} + x^{3}}}{x^{2}}} - 2^{\frac{3}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{2 \, x}\right) - 2^{\frac{1}{4}} \log\left(\frac{2^{\frac{1}{4}} x + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 2^{\frac{1}{4}} \log\left(-\frac{2^{\frac{1}{4}} x - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{155}{64} \, \arctan\left(\frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{155}{128} \, \log\left(\frac{x + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{155}{128} \, \log\left(-\frac{x - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"1/96*(x^4 + x^3)^(1/4)*(32*x^2 + 52*x + 101) + 4*2^(1/4)*arctan(1/2*(2^(3/4)*x*sqrt((sqrt(2)*x^2 + sqrt(x^4 + x^3))/x^2) - 2^(3/4)*(x^4 + x^3)^(1/4))/x) - 2^(1/4)*log((2^(1/4)*x + (x^4 + x^3)^(1/4))/x) + 2^(1/4)*log(-(2^(1/4)*x - (x^4 + x^3)^(1/4))/x) + 155/64*arctan((x^4 + x^3)^(1/4)/x) + 155/128*log((x + (x^4 + x^3)^(1/4))/x) - 155/128*log(-(x - (x^4 + x^3)^(1/4))/x)","B",0
1702,-1,0,0,0.000000," ","integrate((a*x^3-b)*(2*a*x^3-b)/x^6/(a*x^4-b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1703,1,461,0,166.244891," ","integrate((x^8+a*x^4-b)/x^8/(a*x^4-b)/(a*x^4+b)^(1/4),x, algorithm=""fricas"")","\frac{84 \, \left(\frac{1}{2}\right)^{\frac{1}{4}} b^{2} x^{7} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}} \arctan\left(\frac{2 \, {\left(2 \, \left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(a x^{4} + b\right)}^{\frac{3}{4}} a b^{3} x \left(\frac{1}{a b^{4}}\right)^{\frac{3}{4}} + 2 \, \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(a x^{4} + b\right)}^{\frac{1}{4}} a b x^{3} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}} + {\left(2 \, \left(\frac{1}{2}\right)^{\frac{1}{4}} \sqrt{a x^{4} + b} a b x^{2} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}} + \left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(3 \, a^{2} b^{3} x^{4} + a b^{4}\right)} \left(\frac{1}{a b^{4}}\right)^{\frac{3}{4}}\right)} \sqrt{\sqrt{\frac{1}{2}} b^{2} \sqrt{\frac{1}{a b^{4}}}}\right)}}{a x^{4} - b}\right) - 21 \, \left(\frac{1}{2}\right)^{\frac{1}{4}} b^{2} x^{7} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}} \log\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{3}{4}} \sqrt{a x^{4} + b} a b^{3} x^{2} \left(\frac{1}{a b^{4}}\right)^{\frac{3}{4}} + 4 \, \sqrt{\frac{1}{2}} {\left(a x^{4} + b\right)}^{\frac{1}{4}} a b^{2} x^{3} \sqrt{\frac{1}{a b^{4}}} + 2 \, {\left(a x^{4} + b\right)}^{\frac{3}{4}} x + \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(3 \, a b x^{4} + b^{2}\right)} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}}}{2 \, {\left(a x^{4} - b\right)}}\right) + 21 \, \left(\frac{1}{2}\right)^{\frac{1}{4}} b^{2} x^{7} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}} \log\left(-\frac{4 \, \left(\frac{1}{2}\right)^{\frac{3}{4}} \sqrt{a x^{4} + b} a b^{3} x^{2} \left(\frac{1}{a b^{4}}\right)^{\frac{3}{4}} - 4 \, \sqrt{\frac{1}{2}} {\left(a x^{4} + b\right)}^{\frac{1}{4}} a b^{2} x^{3} \sqrt{\frac{1}{a b^{4}}} - 2 \, {\left(a x^{4} + b\right)}^{\frac{3}{4}} x + \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(3 \, a b x^{4} + b^{2}\right)} \left(\frac{1}{a b^{4}}\right)^{\frac{1}{4}}}{2 \, {\left(a x^{4} - b\right)}}\right) + 8 \, {\left(4 \, a x^{4} - 3 \, b\right)} {\left(a x^{4} + b\right)}^{\frac{3}{4}}}{168 \, b^{2} x^{7}}"," ",0,"1/168*(84*(1/2)^(1/4)*b^2*x^7*(1/(a*b^4))^(1/4)*arctan(2*(2*(1/2)^(3/4)*(a*x^4 + b)^(3/4)*a*b^3*x*(1/(a*b^4))^(3/4) + 2*(1/2)^(1/4)*(a*x^4 + b)^(1/4)*a*b*x^3*(1/(a*b^4))^(1/4) + (2*(1/2)^(1/4)*sqrt(a*x^4 + b)*a*b*x^2*(1/(a*b^4))^(1/4) + (1/2)^(3/4)*(3*a^2*b^3*x^4 + a*b^4)*(1/(a*b^4))^(3/4))*sqrt(sqrt(1/2)*b^2*sqrt(1/(a*b^4))))/(a*x^4 - b)) - 21*(1/2)^(1/4)*b^2*x^7*(1/(a*b^4))^(1/4)*log(1/2*(4*(1/2)^(3/4)*sqrt(a*x^4 + b)*a*b^3*x^2*(1/(a*b^4))^(3/4) + 4*sqrt(1/2)*(a*x^4 + b)^(1/4)*a*b^2*x^3*sqrt(1/(a*b^4)) + 2*(a*x^4 + b)^(3/4)*x + (1/2)^(1/4)*(3*a*b*x^4 + b^2)*(1/(a*b^4))^(1/4))/(a*x^4 - b)) + 21*(1/2)^(1/4)*b^2*x^7*(1/(a*b^4))^(1/4)*log(-1/2*(4*(1/2)^(3/4)*sqrt(a*x^4 + b)*a*b^3*x^2*(1/(a*b^4))^(3/4) - 4*sqrt(1/2)*(a*x^4 + b)^(1/4)*a*b^2*x^3*sqrt(1/(a*b^4)) - 2*(a*x^4 + b)^(3/4)*x + (1/2)^(1/4)*(3*a*b*x^4 + b^2)*(1/(a*b^4))^(1/4))/(a*x^4 - b)) + 8*(4*a*x^4 - 3*b)*(a*x^4 + b)^(3/4))/(b^2*x^7)","B",0
1704,1,109,0,0.455694," ","integrate((x^4+1)/x^4/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{6 \, x^{3} \arctan\left(\sqrt{x + \sqrt{x^{2} + 1}}\right) + 3 \, x^{3} \log\left(\sqrt{x + \sqrt{x^{2} + 1}} + 1\right) - 3 \, x^{3} \log\left(\sqrt{x + \sqrt{x^{2} + 1}} - 1\right) + 2 \, {\left(16 \, x^{5} - 19 \, x^{3} - {\left(16 \, x^{4} - 3 \, x^{2} - 8\right)} \sqrt{x^{2} + 1} - 10 \, x\right)} \sqrt{x + \sqrt{x^{2} + 1}}}{48 \, x^{3}}"," ",0,"-1/48*(6*x^3*arctan(sqrt(x + sqrt(x^2 + 1))) + 3*x^3*log(sqrt(x + sqrt(x^2 + 1)) + 1) - 3*x^3*log(sqrt(x + sqrt(x^2 + 1)) - 1) + 2*(16*x^5 - 19*x^3 - (16*x^4 - 3*x^2 - 8)*sqrt(x^2 + 1) - 10*x)*sqrt(x + sqrt(x^2 + 1)))/x^3","A",0
1705,1,219,0,38.098963," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/x^2/(a*x^2+b^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{2} x \sqrt{-\frac{a}{b}} \log\left(-\frac{a^{2} x^{3} + 4 \, a b^{2} x - 4 \, \sqrt{a x^{2} + b^{2}} a b x + 2 \, {\left(2 \, \sqrt{2} \sqrt{a x^{2} + b^{2}} b^{2} \sqrt{-\frac{a}{b}} - \sqrt{2} {\left(a b x^{2} + 2 \, b^{3}\right)} \sqrt{-\frac{a}{b}}\right)} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{x^{3}}\right) - 4 \, \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{4 \, b x}, \frac{\sqrt{2} x \sqrt{\frac{a}{b}} \arctan\left(\frac{\sqrt{2} \sqrt{b + \sqrt{a x^{2} + b^{2}}} b \sqrt{\frac{a}{b}}}{a x}\right) - 2 \, \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{2 \, b x}\right]"," ",0,"[1/4*(sqrt(2)*x*sqrt(-a/b)*log(-(a^2*x^3 + 4*a*b^2*x - 4*sqrt(a*x^2 + b^2)*a*b*x + 2*(2*sqrt(2)*sqrt(a*x^2 + b^2)*b^2*sqrt(-a/b) - sqrt(2)*(a*b*x^2 + 2*b^3)*sqrt(-a/b))*sqrt(b + sqrt(a*x^2 + b^2)))/x^3) - 4*sqrt(b + sqrt(a*x^2 + b^2)))/(b*x), 1/2*(sqrt(2)*x*sqrt(a/b)*arctan(sqrt(2)*sqrt(b + sqrt(a*x^2 + b^2))*b*sqrt(a/b)/(a*x)) - 2*sqrt(b + sqrt(a*x^2 + b^2)))/(b*x)]","A",0
1706,1,147,0,1.088255," ","integrate((x^2+2)/x/(x^2-2*x+2)/(x^2-x+1)^(1/3),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{4 \, \sqrt{3} {\left(x^{2} - x + 1\right)}^{\frac{2}{3}} {\left(x - 1\right)} + 2 \, \sqrt{3} {\left(x^{2} - x + 1\right)}^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 1\right)} + \sqrt{3} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}}{x^{3} - 11 \, x^{2} + 11 \, x - 9}\right) + \frac{1}{2} \, \log\left(\frac{x^{3} - 2 \, x^{2} + 3 \, {\left(x^{2} - x + 1\right)}^{\frac{2}{3}} {\left(x - 1\right)} + 3 \, {\left(x^{2} - x + 1\right)}^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 1\right)} + 2 \, x}{x^{3} - 2 \, x^{2} + 2 \, x}\right)"," ",0,"-sqrt(3)*arctan((4*sqrt(3)*(x^2 - x + 1)^(2/3)*(x - 1) + 2*sqrt(3)*(x^2 - x + 1)^(1/3)*(x^2 - 2*x + 1) + sqrt(3)*(x^3 - 3*x^2 + 3*x - 1))/(x^3 - 11*x^2 + 11*x - 9)) + 1/2*log((x^3 - 2*x^2 + 3*(x^2 - x + 1)^(2/3)*(x - 1) + 3*(x^2 - x + 1)^(1/3)*(x^2 - 2*x + 1) + 2*x)/(x^3 - 2*x^2 + 2*x))","A",0
1707,1,124,0,0.860782," ","integrate((-1+x)/x^10/(x^3+1)^(1/3),x, algorithm=""fricas"")","-\frac{560 \, \sqrt{3} x^{9} \arctan\left(-\frac{\sqrt{3} {\left(x^{3} + 1\right)} - 2 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{2}{3}} + 4 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x^{3} + 9}\right) - 280 \, x^{9} \log\left(\frac{x^{3} - 3 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} + 3 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x^{3}}\right) + 3 \, {\left(729 \, x^{7} - 560 \, x^{6} - 486 \, x^{4} + 420 \, x^{3} + 405 \, x - 360\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{9720 \, x^{9}}"," ",0,"-1/9720*(560*sqrt(3)*x^9*arctan(-(sqrt(3)*(x^3 + 1) - 2*sqrt(3)*(x^3 + 1)^(2/3) + 4*sqrt(3)*(x^3 + 1)^(1/3))/(x^3 + 9)) - 280*x^9*log((x^3 - 3*(x^3 + 1)^(2/3) + 3*(x^3 + 1)^(1/3))/x^3) + 3*(729*x^7 - 560*x^6 - 486*x^4 + 420*x^3 + 405*x - 360)*(x^3 + 1)^(2/3))/x^9","A",0
1708,1,236,0,0.455757," ","integrate(1/x/(a*x^3+b)^(1/3),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{\frac{1}{3}} b \sqrt{-\frac{1}{b^{\frac{2}{3}}}} \log\left(\frac{2 \, a x^{3} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(a x^{3} + b\right)}^{\frac{2}{3}} b^{\frac{2}{3}} - {\left(a x^{3} + b\right)}^{\frac{1}{3}} b - b^{\frac{4}{3}}\right)} \sqrt{-\frac{1}{b^{\frac{2}{3}}}} - 3 \, {\left(a x^{3} + b\right)}^{\frac{1}{3}} b^{\frac{2}{3}} + 3 \, b}{x^{3}}\right) - b^{\frac{2}{3}} \log\left({\left(a x^{3} + b\right)}^{\frac{2}{3}} + {\left(a x^{3} + b\right)}^{\frac{1}{3}} b^{\frac{1}{3}} + b^{\frac{2}{3}}\right) + 2 \, b^{\frac{2}{3}} \log\left({\left(a x^{3} + b\right)}^{\frac{1}{3}} - b^{\frac{1}{3}}\right)}{6 \, b}, \frac{6 \, \sqrt{\frac{1}{3}} b^{\frac{2}{3}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, {\left(a x^{3} + b\right)}^{\frac{1}{3}} + b^{\frac{1}{3}}\right)}}{b^{\frac{1}{3}}}\right) - b^{\frac{2}{3}} \log\left({\left(a x^{3} + b\right)}^{\frac{2}{3}} + {\left(a x^{3} + b\right)}^{\frac{1}{3}} b^{\frac{1}{3}} + b^{\frac{2}{3}}\right) + 2 \, b^{\frac{2}{3}} \log\left({\left(a x^{3} + b\right)}^{\frac{1}{3}} - b^{\frac{1}{3}}\right)}{6 \, b}\right]"," ",0,"[1/6*(3*sqrt(1/3)*b*sqrt(-1/b^(2/3))*log((2*a*x^3 + 3*sqrt(1/3)*(2*(a*x^3 + b)^(2/3)*b^(2/3) - (a*x^3 + b)^(1/3)*b - b^(4/3))*sqrt(-1/b^(2/3)) - 3*(a*x^3 + b)^(1/3)*b^(2/3) + 3*b)/x^3) - b^(2/3)*log((a*x^3 + b)^(2/3) + (a*x^3 + b)^(1/3)*b^(1/3) + b^(2/3)) + 2*b^(2/3)*log((a*x^3 + b)^(1/3) - b^(1/3)))/b, 1/6*(6*sqrt(1/3)*b^(2/3)*arctan(sqrt(1/3)*(2*(a*x^3 + b)^(1/3) + b^(1/3))/b^(1/3)) - b^(2/3)*log((a*x^3 + b)^(2/3) + (a*x^3 + b)^(1/3)*b^(1/3) + b^(2/3)) + 2*b^(2/3)*log((a*x^3 + b)^(1/3) - b^(1/3)))/b]","A",0
1709,-1,0,0,0.000000," ","integrate((-1-2*(-1+k)*x+k*x^2)*(k^3*x^3-3*k^2*x^2+3*k*x-1)/(-1+x)/x/((1-x)*x*(-k*x+1))^(1/4)/(-1+(d+3*k)*x-(3*k^2+d)*x^2+k^3*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1710,1,150,0,4.996656," ","integrate((x^4+3)*(x^4-x^3-1)^(2/3)/x^3/(x^4-1),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{2} \arctan\left(\frac{728574532 \, \sqrt{3} {\left(x^{4} - x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 812477430 \, \sqrt{3} {\left(x^{4} - x^{3} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(355231575 \, x^{4} + 41951449 \, x^{3} - 355231575\right)}}{3 \, {\left(447697125 \, x^{4} - 770525981 \, x^{3} - 447697125\right)}}\right) + x^{2} \log\left(\frac{x^{4} + 3 \, {\left(x^{4} - x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{4} - x^{3} - 1\right)}^{\frac{2}{3}} x - 1}{x^{4} - 1}\right) + 3 \, {\left(x^{4} - x^{3} - 1\right)}^{\frac{2}{3}}}{2 \, x^{2}}"," ",0,"1/2*(2*sqrt(3)*x^2*arctan(1/3*(728574532*sqrt(3)*(x^4 - x^3 - 1)^(1/3)*x^2 + 812477430*sqrt(3)*(x^4 - x^3 - 1)^(2/3)*x + sqrt(3)*(355231575*x^4 + 41951449*x^3 - 355231575))/(447697125*x^4 - 770525981*x^3 - 447697125)) + x^2*log((x^4 + 3*(x^4 - x^3 - 1)^(1/3)*x^2 + 3*(x^4 - x^3 - 1)^(2/3)*x - 1)/(x^4 - 1)) + 3*(x^4 - x^3 - 1)^(2/3))/x^2","A",0
1711,-2,0,0,0.000000," ","integrate((2*x^2+1)*(2*x^3+x)^(1/3)/x^4/(2*x^4+1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1712,-2,0,0,0.000000," ","integrate(1/(x-(a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
1713,-2,0,0,0.000000," ","integrate(1/(x-(a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
1714,1,127,0,0.882717," ","integrate((x^2-x+2)/(x^2-1)^(1/3)/(x^2+4*x+3),x, algorithm=""fricas"")","\frac{14 \, \sqrt{3} {\left(x + 1\right)} \arctan\left(\frac{286273 \, \sqrt{3} {\left(x^{2} - 1\right)}^{\frac{1}{3}} {\left(x - 1\right)} + \sqrt{3} {\left(66978 \, x^{2} + 434719 \, x + 635653\right)} + 539695 \, \sqrt{3} {\left(x^{2} - 1\right)}^{\frac{2}{3}}}{226981 \, x^{2} - 1974837 \, x - 1293894}\right) - 7 \, {\left(x + 1\right)} \log\left(\frac{x^{2} + 6 \, {\left(x^{2} - 1\right)}^{\frac{1}{3}} {\left(x - 1\right)} + 6 \, x + 12 \, {\left(x^{2} - 1\right)}^{\frac{2}{3}} + 9}{x^{2} + 6 \, x + 9}\right) + 24 \, {\left(x^{2} - 1\right)}^{\frac{2}{3}}}{8 \, {\left(x + 1\right)}}"," ",0,"1/8*(14*sqrt(3)*(x + 1)*arctan((286273*sqrt(3)*(x^2 - 1)^(1/3)*(x - 1) + sqrt(3)*(66978*x^2 + 434719*x + 635653) + 539695*sqrt(3)*(x^2 - 1)^(2/3))/(226981*x^2 - 1974837*x - 1293894)) - 7*(x + 1)*log((x^2 + 6*(x^2 - 1)^(1/3)*(x - 1) + 6*x + 12*(x^2 - 1)^(2/3) + 9)/(x^2 + 6*x + 9)) + 24*(x^2 - 1)^(2/3))/(x + 1)","A",0
1715,-1,0,0,0.000000," ","integrate(x*(k*x-1)*(-1+2*(-1+k)*x+k*x^2)/(-1+x)/((1-x)*x*(-k*x+1))^(3/4)/(-d+(1+3*d)*x-(3*d+k)*x^2+d*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1716,-1,0,0,0.000000," ","integrate((-1+x)*x*(-1-2*(-1+k)*x+k*x^2)/((1-x)*x*(-k*x+1))^(3/4)/(k*x-1)/(-d+(3*d*k+1)*x-(3*d*k^2+1)*x^2+d*k^3*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1717,-2,0,0,0.000000," ","integrate((x^2+4)*(x^3-2*x)^(1/3)/x^4/(x^4-4*x^2-4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1718,-2,0,0,0.000000," ","integrate((x^2+4)*(x^3-2*x)^(1/3)/x^4/(x^4-4*x^2-4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1719,-1,0,0,0.000000," ","integrate((a*x^3+2*b)/(a*x^3+x^2-b)/(a*x^5-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1720,-1,0,0,0.000000," ","integrate((a*x^2+b)/(a*x^2-b+x)/(a*x^5-b*x^3)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1721,-1,0,0,0.000000," ","integrate((a*x^4+b)/(a*x^4+x^2-b)/(a*x^6-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1722,-1,0,0,0.000000," ","integrate((2*a*x^3+b)/(a*x^3-b+x)/(a*x^6-b*x^3)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1723,-1,0,0,0.000000," ","integrate(1/(a*x^4-b)^(1/4)/(a*x^8-x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1724,-1,0,0,0.000000," ","integrate(1/(a*x^4-b)^(1/4)/(a*x^8-x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1725,-1,0,0,0.000000," ","integrate((a*x^4+b)/(a*x^4-b)^(1/4)/(a*x^8+c*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1726,-1,0,0,0.000000," ","integrate((a*x^4+b)/(a*x^4-b)^(1/4)/(a*x^8+c*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1727,-2,0,0,0.000000," ","integrate((x^5+1)*(x^5+x^3+1)^(1/3)*(2*x^5-3)/x^2/(2*x^10-2*x^8-x^6+4*x^5-2*x^3+2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1728,-2,0,0,0.000000," ","integrate((x^5+1)*(x^5+x^3+1)^(1/3)*(2*x^5-3)/x^2/(2*x^10-2*x^8-x^6+4*x^5-2*x^3+2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1729,1,112,0,0.963877," ","integrate(x^4*(x^3-x)^(1/3),x, algorithm=""fricas"")","\frac{5}{162} \, \sqrt{3} \arctan\left(-\frac{44032959556 \, \sqrt{3} {\left(x^{3} - x\right)}^{\frac{1}{3}} x + \sqrt{3} {\left(16754327161 \, x^{2} - 2707204793\right)} - 10524305234 \, \sqrt{3} {\left(x^{3} - x\right)}^{\frac{2}{3}}}{81835897185 \, x^{2} - 1102302937}\right) + \frac{1}{108} \, {\left(18 \, x^{5} - 3 \, x^{3} - 5 \, x\right)} {\left(x^{3} - x\right)}^{\frac{1}{3}} + \frac{5}{324} \, \log\left(-3 \, {\left(x^{3} - x\right)}^{\frac{1}{3}} x + 3 \, {\left(x^{3} - x\right)}^{\frac{2}{3}} + 1\right)"," ",0,"5/162*sqrt(3)*arctan(-(44032959556*sqrt(3)*(x^3 - x)^(1/3)*x + sqrt(3)*(16754327161*x^2 - 2707204793) - 10524305234*sqrt(3)*(x^3 - x)^(2/3))/(81835897185*x^2 - 1102302937)) + 1/108*(18*x^5 - 3*x^3 - 5*x)*(x^3 - x)^(1/3) + 5/324*log(-3*(x^3 - x)^(1/3)*x + 3*(x^3 - x)^(2/3) + 1)","A",0
1730,1,344,0,0.856745," ","integrate(x/(a*x^2-b)/(a*x^3+b*x)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}} \arctan\left(\frac{2 \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \sqrt{a x^{3} + b x} a b \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}}}{a x^{2} + b}\right) - \frac{1}{8} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}} \log\left(\frac{a^{2} x^{4} + 6 \, a b x^{2} + b^{2} + 4 \, {\left(4 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{3} b^{3} x \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{3}{4}} + \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} b x^{2} + a b^{2}\right)} \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}}\right)} \sqrt{a x^{3} + b x} + 4 \, {\left(a^{3} b^{2} x^{3} + a^{2} b^{3} x\right)} \sqrt{\frac{1}{a^{3} b^{3}}}}{a^{2} x^{4} - 2 \, a b x^{2} + b^{2}}\right) + \frac{1}{8} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}} \log\left(\frac{a^{2} x^{4} + 6 \, a b x^{2} + b^{2} - 4 \, {\left(4 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{3} b^{3} x \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{3}{4}} + \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} b x^{2} + a b^{2}\right)} \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}}\right)} \sqrt{a x^{3} + b x} + 4 \, {\left(a^{3} b^{2} x^{3} + a^{2} b^{3} x\right)} \sqrt{\frac{1}{a^{3} b^{3}}}}{a^{2} x^{4} - 2 \, a b x^{2} + b^{2}}\right)"," ",0,"1/2*(1/4)^(1/4)*(1/(a^3*b^3))^(1/4)*arctan(2*(1/4)^(1/4)*sqrt(a*x^3 + b*x)*a*b*(1/(a^3*b^3))^(1/4)/(a*x^2 + b)) - 1/8*(1/4)^(1/4)*(1/(a^3*b^3))^(1/4)*log((a^2*x^4 + 6*a*b*x^2 + b^2 + 4*(4*(1/4)^(3/4)*a^3*b^3*x*(1/(a^3*b^3))^(3/4) + (1/4)^(1/4)*(a^2*b*x^2 + a*b^2)*(1/(a^3*b^3))^(1/4))*sqrt(a*x^3 + b*x) + 4*(a^3*b^2*x^3 + a^2*b^3*x)*sqrt(1/(a^3*b^3)))/(a^2*x^4 - 2*a*b*x^2 + b^2)) + 1/8*(1/4)^(1/4)*(1/(a^3*b^3))^(1/4)*log((a^2*x^4 + 6*a*b*x^2 + b^2 - 4*(4*(1/4)^(3/4)*a^3*b^3*x*(1/(a^3*b^3))^(3/4) + (1/4)^(1/4)*(a^2*b*x^2 + a*b^2)*(1/(a^3*b^3))^(1/4))*sqrt(a*x^3 + b*x) + 4*(a^3*b^2*x^3 + a^2*b^3*x)*sqrt(1/(a^3*b^3)))/(a^2*x^4 - 2*a*b*x^2 + b^2))","B",0
1731,1,344,0,0.562575," ","integrate((a*x^3+b*x)^(1/2)/(a^2*x^4-b^2),x, algorithm=""fricas"")","\frac{1}{2} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}} \arctan\left(\frac{2 \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \sqrt{a x^{3} + b x} a b \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}}}{a x^{2} + b}\right) - \frac{1}{8} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}} \log\left(\frac{a^{2} x^{4} + 6 \, a b x^{2} + b^{2} + 4 \, {\left(4 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{3} b^{3} x \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{3}{4}} + \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} b x^{2} + a b^{2}\right)} \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}}\right)} \sqrt{a x^{3} + b x} + 4 \, {\left(a^{3} b^{2} x^{3} + a^{2} b^{3} x\right)} \sqrt{\frac{1}{a^{3} b^{3}}}}{a^{2} x^{4} - 2 \, a b x^{2} + b^{2}}\right) + \frac{1}{8} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}} \log\left(\frac{a^{2} x^{4} + 6 \, a b x^{2} + b^{2} - 4 \, {\left(4 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{3} b^{3} x \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{3}{4}} + \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} b x^{2} + a b^{2}\right)} \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}}\right)} \sqrt{a x^{3} + b x} + 4 \, {\left(a^{3} b^{2} x^{3} + a^{2} b^{3} x\right)} \sqrt{\frac{1}{a^{3} b^{3}}}}{a^{2} x^{4} - 2 \, a b x^{2} + b^{2}}\right)"," ",0,"1/2*(1/4)^(1/4)*(1/(a^3*b^3))^(1/4)*arctan(2*(1/4)^(1/4)*sqrt(a*x^3 + b*x)*a*b*(1/(a^3*b^3))^(1/4)/(a*x^2 + b)) - 1/8*(1/4)^(1/4)*(1/(a^3*b^3))^(1/4)*log((a^2*x^4 + 6*a*b*x^2 + b^2 + 4*(4*(1/4)^(3/4)*a^3*b^3*x*(1/(a^3*b^3))^(3/4) + (1/4)^(1/4)*(a^2*b*x^2 + a*b^2)*(1/(a^3*b^3))^(1/4))*sqrt(a*x^3 + b*x) + 4*(a^3*b^2*x^3 + a^2*b^3*x)*sqrt(1/(a^3*b^3)))/(a^2*x^4 - 2*a*b*x^2 + b^2)) + 1/8*(1/4)^(1/4)*(1/(a^3*b^3))^(1/4)*log((a^2*x^4 + 6*a*b*x^2 + b^2 - 4*(4*(1/4)^(3/4)*a^3*b^3*x*(1/(a^3*b^3))^(3/4) + (1/4)^(1/4)*(a^2*b*x^2 + a*b^2)*(1/(a^3*b^3))^(1/4))*sqrt(a*x^3 + b*x) + 4*(a^3*b^2*x^3 + a^2*b^3*x)*sqrt(1/(a^3*b^3)))/(a^2*x^4 - 2*a*b*x^2 + b^2))","B",0
1732,1,107,0,0.443734," ","integrate(x^19/(x^6-1)^(1/3),x, algorithm=""fricas"")","\frac{1}{324} \, {\left(18 \, x^{14} + 21 \, x^{8} + 28 \, x^{2}\right)} {\left(x^{6} - 1\right)}^{\frac{2}{3}} - \frac{7}{243} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x^{2} + 2 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{3 \, x^{2}}\right) - \frac{7}{243} \, \log\left(-\frac{x^{2} - {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}}\right) + \frac{7}{486} \, \log\left(\frac{x^{4} + {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{2} + {\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}}\right)"," ",0,"1/324*(18*x^14 + 21*x^8 + 28*x^2)*(x^6 - 1)^(2/3) - 7/243*sqrt(3)*arctan(1/3*(sqrt(3)*x^2 + 2*sqrt(3)*(x^6 - 1)^(1/3))/x^2) - 7/243*log(-(x^2 - (x^6 - 1)^(1/3))/x^2) + 7/486*log((x^4 + (x^6 - 1)^(1/3)*x^2 + (x^6 - 1)^(2/3))/x^4)","A",0
1733,1,107,0,0.446544," ","integrate(x^15*(x^6-1)^(1/3),x, algorithm=""fricas"")","-\frac{5}{486} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x^{2} + 2 \, \sqrt{3} {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{3 \, x^{2}}\right) + \frac{1}{324} \, {\left(18 \, x^{16} - 3 \, x^{10} - 5 \, x^{4}\right)} {\left(x^{6} - 1\right)}^{\frac{1}{3}} + \frac{5}{486} \, \log\left(-\frac{x^{2} - {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}}\right) - \frac{5}{972} \, \log\left(\frac{x^{4} + {\left(x^{6} - 1\right)}^{\frac{1}{3}} x^{2} + {\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}}\right)"," ",0,"-5/486*sqrt(3)*arctan(1/3*(sqrt(3)*x^2 + 2*sqrt(3)*(x^6 - 1)^(1/3))/x^2) + 1/324*(18*x^16 - 3*x^10 - 5*x^4)*(x^6 - 1)^(1/3) + 5/486*log(-(x^2 - (x^6 - 1)^(1/3))/x^2) - 5/972*log((x^4 + (x^6 - 1)^(1/3)*x^2 + (x^6 - 1)^(2/3))/x^4)","A",0
1734,1,107,0,0.424824," ","integrate(x^19/(x^6+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{324} \, {\left(18 \, x^{14} - 21 \, x^{8} + 28 \, x^{2}\right)} {\left(x^{6} + 1\right)}^{\frac{2}{3}} + \frac{7}{243} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x^{2} + 2 \, \sqrt{3} {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{3 \, x^{2}}\right) + \frac{7}{243} \, \log\left(-\frac{x^{2} - {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}}\right) - \frac{7}{486} \, \log\left(\frac{x^{4} + {\left(x^{6} + 1\right)}^{\frac{1}{3}} x^{2} + {\left(x^{6} + 1\right)}^{\frac{2}{3}}}{x^{4}}\right)"," ",0,"1/324*(18*x^14 - 21*x^8 + 28*x^2)*(x^6 + 1)^(2/3) + 7/243*sqrt(3)*arctan(1/3*(sqrt(3)*x^2 + 2*sqrt(3)*(x^6 + 1)^(1/3))/x^2) + 7/243*log(-(x^2 - (x^6 + 1)^(1/3))/x^2) - 7/486*log((x^4 + (x^6 + 1)^(1/3)*x^2 + (x^6 + 1)^(2/3))/x^4)","A",0
1735,1,107,0,0.449191," ","integrate(x^15*(x^6+1)^(1/3),x, algorithm=""fricas"")","\frac{5}{486} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x^{2} + 2 \, \sqrt{3} {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{3 \, x^{2}}\right) + \frac{1}{324} \, {\left(18 \, x^{16} + 3 \, x^{10} - 5 \, x^{4}\right)} {\left(x^{6} + 1\right)}^{\frac{1}{3}} - \frac{5}{486} \, \log\left(-\frac{x^{2} - {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}}\right) + \frac{5}{972} \, \log\left(\frac{x^{4} + {\left(x^{6} + 1\right)}^{\frac{1}{3}} x^{2} + {\left(x^{6} + 1\right)}^{\frac{2}{3}}}{x^{4}}\right)"," ",0,"5/486*sqrt(3)*arctan(1/3*(sqrt(3)*x^2 + 2*sqrt(3)*(x^6 + 1)^(1/3))/x^2) + 1/324*(18*x^16 + 3*x^10 - 5*x^4)*(x^6 + 1)^(1/3) - 5/486*log(-(x^2 - (x^6 + 1)^(1/3))/x^2) + 5/972*log((x^4 + (x^6 + 1)^(1/3)*x^2 + (x^6 + 1)^(2/3))/x^4)","A",0
1736,-1,0,0,0.000000," ","integrate((x^6-a*x^3-b)/x^6/(a*x^4-b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1737,1,157,0,2.877731," ","integrate((3*x^6-x^4-3)/(x^6-x^4+1)/(x^6-x^4-x^3+1)^(1/3),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{2 \, \sqrt{3} {\left(x^{6} - x^{4} - x^{3} + 1\right)}^{\frac{1}{3}} x^{2} + 2 \, \sqrt{3} {\left(x^{6} - x^{4} - x^{3} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(x^{6} - x^{4} + 1\right)}}{3 \, {\left(x^{6} - x^{4} - 2 \, x^{3} + 1\right)}}\right) - \frac{1}{2} \, \log\left(\frac{x^{6} - x^{4} + 3 \, {\left(x^{6} - x^{4} - x^{3} + 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{6} - x^{4} - x^{3} + 1\right)}^{\frac{2}{3}} x + 1}{x^{6} - x^{4} + 1}\right)"," ",0,"-sqrt(3)*arctan(1/3*(2*sqrt(3)*(x^6 - x^4 - x^3 + 1)^(1/3)*x^2 + 2*sqrt(3)*(x^6 - x^4 - x^3 + 1)^(2/3)*x + sqrt(3)*(x^6 - x^4 + 1))/(x^6 - x^4 - 2*x^3 + 1)) - 1/2*log((x^6 - x^4 + 3*(x^6 - x^4 - x^3 + 1)^(1/3)*x^2 + 3*(x^6 - x^4 - x^3 + 1)^(2/3)*x + 1)/(x^6 - x^4 + 1))","A",0
1738,-1,0,0,0.000000," ","integrate((a*x^6-b)/x^6/(a*x^4-b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1739,-1,0,0,0.000000," ","integrate((a*x^6+b)/x^6/(a*x^4-b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1740,1,330,0,7.456450," ","integrate((x^4+x^2)^(1/4)*(x^8-x^4-1)/(x^4-1),x, algorithm=""fricas"")","\frac{1}{8} \cdot 8^{\frac{3}{4}} \arctan\left(\frac{16 \cdot 8^{\frac{1}{4}} {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(8^{\frac{3}{4}} {\left(3 \, x^{3} + x\right)} + 8 \cdot 8^{\frac{1}{4}} \sqrt{x^{4} + x^{2}} x\right)} + 4 \cdot 8^{\frac{3}{4}} {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{8 \, {\left(x^{3} - x\right)}}\right) + \frac{1}{32} \cdot 8^{\frac{3}{4}} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 8^{\frac{3}{4}} \sqrt{x^{4} + x^{2}} x + 8^{\frac{1}{4}} {\left(3 \, x^{3} + x\right)} + 4 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{x^{3} - x}\right) - \frac{1}{32} \cdot 8^{\frac{3}{4}} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x^{2} - 8^{\frac{3}{4}} \sqrt{x^{4} + x^{2}} x - 8^{\frac{1}{4}} {\left(3 \, x^{3} + x\right)} + 4 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{x^{3} - x}\right) + \frac{1}{192} \, {\left(32 \, x^{5} + 4 \, x^{3} - 7 \, x\right)} {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} - \frac{7}{256} \, \arctan\left(\frac{2 \, {\left({\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x^{2} + {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x}\right) + \frac{7}{256} \, \log\left(\frac{2 \, x^{3} + 2 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \, \sqrt{x^{4} + x^{2}} x + x + 2 \, {\left(x^{4} + x^{2}\right)}^{\frac{3}{4}}}{x}\right)"," ",0,"1/8*8^(3/4)*arctan(1/8*(16*8^(1/4)*(x^4 + x^2)^(1/4)*x^2 + 2^(3/4)*(8^(3/4)*(3*x^3 + x) + 8*8^(1/4)*sqrt(x^4 + x^2)*x) + 4*8^(3/4)*(x^4 + x^2)^(3/4))/(x^3 - x)) + 1/32*8^(3/4)*log((4*sqrt(2)*(x^4 + x^2)^(1/4)*x^2 + 8^(3/4)*sqrt(x^4 + x^2)*x + 8^(1/4)*(3*x^3 + x) + 4*(x^4 + x^2)^(3/4))/(x^3 - x)) - 1/32*8^(3/4)*log((4*sqrt(2)*(x^4 + x^2)^(1/4)*x^2 - 8^(3/4)*sqrt(x^4 + x^2)*x - 8^(1/4)*(3*x^3 + x) + 4*(x^4 + x^2)^(3/4))/(x^3 - x)) + 1/192*(32*x^5 + 4*x^3 - 7*x)*(x^4 + x^2)^(1/4) - 7/256*arctan(2*((x^4 + x^2)^(1/4)*x^2 + (x^4 + x^2)^(3/4))/x) + 7/256*log((2*x^3 + 2*(x^4 + x^2)^(1/4)*x^2 + 2*sqrt(x^4 + x^2)*x + x + 2*(x^4 + x^2)^(3/4))/x)","B",0
1741,1,3119,0,0.791445," ","integrate((2*x^8-a*x^4-b)/(a*x^4+b)^(1/4)/(x^8-a*x^4-b),x, algorithm=""fricas"")","-\sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \arctan\left(\frac{{\left(\sqrt{\frac{1}{2}} {\left({\left(a^{5} + 8 \, a^{3} b + 16 \, a b^{2}\right)} x \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} + {\left(a^{4} + 5 \, a^{2} b + 4 \, b^{2}\right)} x\right)} \sqrt{-\frac{\sqrt{\frac{1}{2}} {\left({\left(a^{8} b^{3} + 13 \, a^{6} b^{4} + 60 \, a^{4} b^{5} + 112 \, a^{2} b^{6} + 64 \, b^{7}\right)} x^{2} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} + {\left(a^{7} b^{3} + 6 \, a^{5} b^{4} + 9 \, a^{3} b^{5} + 4 \, a b^{6}\right)} x^{2}\right)} \sqrt{\frac{a^{3} + 3 \, a b - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} - 2 \, {\left(a^{4} b^{4} + 2 \, a^{2} b^{5} + b^{6}\right)} \sqrt{a x^{4} + b}}{x^{2}}} - {\left(a^{6} b^{2} + 6 \, a^{4} b^{3} + 9 \, a^{2} b^{4} + 4 \, b^{5} + {\left(a^{7} b^{2} + 9 \, a^{5} b^{3} + 24 \, a^{3} b^{4} + 16 \, a b^{5}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}}}{2 \, {\left(a^{4} b^{3} + 2 \, a^{2} b^{4} + b^{5}\right)} x}\right) + \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \arctan\left(\frac{\sqrt{\frac{1}{2}} {\left({\left(a^{5} + 8 \, a^{3} b + 16 \, a b^{2}\right)} x \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} - {\left(a^{4} + 5 \, a^{2} b + 4 \, b^{2}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \sqrt{\frac{\sqrt{\frac{1}{2}} {\left({\left(a^{8} b^{3} + 13 \, a^{6} b^{4} + 60 \, a^{4} b^{5} + 112 \, a^{2} b^{6} + 64 \, b^{7}\right)} x^{2} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} - {\left(a^{7} b^{3} + 6 \, a^{5} b^{4} + 9 \, a^{3} b^{5} + 4 \, a b^{6}\right)} x^{2}\right)} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} + 2 \, {\left(a^{4} b^{4} + 2 \, a^{2} b^{5} + b^{6}\right)} \sqrt{a x^{4} + b}}{x^{2}}} + {\left(a^{6} b^{2} + 6 \, a^{4} b^{3} + 9 \, a^{2} b^{4} + 4 \, b^{5} - {\left(a^{7} b^{2} + 9 \, a^{5} b^{3} + 24 \, a^{3} b^{4} + 16 \, a b^{5}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}}}{2 \, {\left(a^{4} b^{3} + 2 \, a^{2} b^{4} + b^{5}\right)} x}\right) - \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(\frac{\sqrt{\frac{1}{2}} {\left({\left(a^{8} + 14 \, a^{6} b + 72 \, a^{4} b^{2} + 160 \, a^{2} b^{3} + 128 \, b^{4}\right)} x \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} - {\left(a^{7} + 9 \, a^{5} b + 24 \, a^{3} b^{2} + 16 \, a b^{3}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} + 2 \, {\left(a x^{4} + b\right)}^{\frac{1}{4}} {\left(a^{2} b^{2} + b^{3}\right)}}{2 \, x}\right) + \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(a^{8} + 14 \, a^{6} b + 72 \, a^{4} b^{2} + 160 \, a^{2} b^{3} + 128 \, b^{4}\right)} x \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} - {\left(a^{7} + 9 \, a^{5} b + 24 \, a^{3} b^{2} + 16 \, a b^{3}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} - 2 \, {\left(a x^{4} + b\right)}^{\frac{1}{4}} {\left(a^{2} b^{2} + b^{3}\right)}}{2 \, x}\right) + \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(\frac{\sqrt{\frac{1}{2}} {\left({\left(a^{8} + 14 \, a^{6} b + 72 \, a^{4} b^{2} + 160 \, a^{2} b^{3} + 128 \, b^{4}\right)} x \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} + {\left(a^{7} + 9 \, a^{5} b + 24 \, a^{3} b^{2} + 16 \, a b^{3}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \sqrt{\frac{a^{3} + 3 \, a b - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} + 2 \, {\left(a x^{4} + b\right)}^{\frac{1}{4}} {\left(a^{2} b^{2} + b^{3}\right)}}{2 \, x}\right) - \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(a^{8} + 14 \, a^{6} b + 72 \, a^{4} b^{2} + 160 \, a^{2} b^{3} + 128 \, b^{4}\right)} x \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} + {\left(a^{7} + 9 \, a^{5} b + 24 \, a^{3} b^{2} + 16 \, a b^{3}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \sqrt{\frac{a^{3} + 3 \, a b - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} - 2 \, {\left(a x^{4} + b\right)}^{\frac{1}{4}} {\left(a^{2} b^{2} + b^{3}\right)}}{2 \, x}\right) + \frac{2 \, \arctan\left(\frac{\frac{x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} + b}}{x^{2}}}}{a^{\frac{1}{4}}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}}{x}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}}"," ",0,"-sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*arctan(1/2*(sqrt(1/2)*((a^5 + 8*a^3*b + 16*a*b^2)*x*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) + (a^4 + 5*a^2*b + 4*b^2)*x)*sqrt(-(sqrt(1/2)*((a^8*b^3 + 13*a^6*b^4 + 60*a^4*b^5 + 112*a^2*b^6 + 64*b^7)*x^2*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) + (a^7*b^3 + 6*a^5*b^4 + 9*a^3*b^5 + 4*a*b^6)*x^2)*sqrt((a^3 + 3*a*b - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)) - 2*(a^4*b^4 + 2*a^2*b^5 + b^6)*sqrt(a*x^4 + b))/x^2) - (a^6*b^2 + 6*a^4*b^3 + 9*a^2*b^4 + 4*b^5 + (a^7*b^2 + 9*a^5*b^3 + 24*a^3*b^4 + 16*a*b^5)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))*(a*x^4 + b)^(1/4))*sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))/((a^4*b^3 + 2*a^2*b^4 + b^5)*x)) + sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*arctan(1/2*(sqrt(1/2)*((a^5 + 8*a^3*b + 16*a*b^2)*x*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) - (a^4 + 5*a^2*b + 4*b^2)*x)*sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*sqrt((sqrt(1/2)*((a^8*b^3 + 13*a^6*b^4 + 60*a^4*b^5 + 112*a^2*b^6 + 64*b^7)*x^2*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) - (a^7*b^3 + 6*a^5*b^4 + 9*a^3*b^5 + 4*a*b^6)*x^2)*sqrt((a^3 + 3*a*b + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)) + 2*(a^4*b^4 + 2*a^2*b^5 + b^6)*sqrt(a*x^4 + b))/x^2) + (a^6*b^2 + 6*a^4*b^3 + 9*a^2*b^4 + 4*b^5 - (a^7*b^2 + 9*a^5*b^3 + 24*a^3*b^4 + 16*a*b^5)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))*(a*x^4 + b)^(1/4)*sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))))/((a^4*b^3 + 2*a^2*b^4 + b^5)*x)) - 1/4*sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*log(1/2*(sqrt(1/2)*((a^8 + 14*a^6*b + 72*a^4*b^2 + 160*a^2*b^3 + 128*b^4)*x*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) - (a^7 + 9*a^5*b + 24*a^3*b^2 + 16*a*b^3)*x)*sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*sqrt((a^3 + 3*a*b + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)) + 2*(a*x^4 + b)^(1/4)*(a^2*b^2 + b^3))/x) + 1/4*sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*log(-1/2*(sqrt(1/2)*((a^8 + 14*a^6*b + 72*a^4*b^2 + 160*a^2*b^3 + 128*b^4)*x*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) - (a^7 + 9*a^5*b + 24*a^3*b^2 + 16*a*b^3)*x)*sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*sqrt((a^3 + 3*a*b + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)) - 2*(a*x^4 + b)^(1/4)*(a^2*b^2 + b^3))/x) + 1/4*sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*log(1/2*(sqrt(1/2)*((a^8 + 14*a^6*b + 72*a^4*b^2 + 160*a^2*b^3 + 128*b^4)*x*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) + (a^7 + 9*a^5*b + 24*a^3*b^2 + 16*a*b^3)*x)*sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*sqrt((a^3 + 3*a*b - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)) + 2*(a*x^4 + b)^(1/4)*(a^2*b^2 + b^3))/x) - 1/4*sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*log(-1/2*(sqrt(1/2)*((a^8 + 14*a^6*b + 72*a^4*b^2 + 160*a^2*b^3 + 128*b^4)*x*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) + (a^7 + 9*a^5*b + 24*a^3*b^2 + 16*a*b^3)*x)*sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*sqrt((a^3 + 3*a*b - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)) - 2*(a*x^4 + b)^(1/4)*(a^2*b^2 + b^3))/x) + 2*arctan((x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 + b))/x^2)/a^(1/4) - (a*x^4 + b)^(1/4)/a^(1/4))/x)/a^(1/4) + 1/2*log((a^(1/4)*x + (a*x^4 + b)^(1/4))/x)/a^(1/4) - 1/2*log(-(a^(1/4)*x - (a*x^4 + b)^(1/4))/x)/a^(1/4)","B",0
1742,1,3119,0,0.800641," ","integrate((2*x^8-a*x^4-b)/(a*x^4+b)^(1/4)/(x^8-a*x^4-b),x, algorithm=""fricas"")","-\sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \arctan\left(\frac{{\left(\sqrt{\frac{1}{2}} {\left({\left(a^{5} + 8 \, a^{3} b + 16 \, a b^{2}\right)} x \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} + {\left(a^{4} + 5 \, a^{2} b + 4 \, b^{2}\right)} x\right)} \sqrt{-\frac{\sqrt{\frac{1}{2}} {\left({\left(a^{8} b^{3} + 13 \, a^{6} b^{4} + 60 \, a^{4} b^{5} + 112 \, a^{2} b^{6} + 64 \, b^{7}\right)} x^{2} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} + {\left(a^{7} b^{3} + 6 \, a^{5} b^{4} + 9 \, a^{3} b^{5} + 4 \, a b^{6}\right)} x^{2}\right)} \sqrt{\frac{a^{3} + 3 \, a b - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} - 2 \, {\left(a^{4} b^{4} + 2 \, a^{2} b^{5} + b^{6}\right)} \sqrt{a x^{4} + b}}{x^{2}}} - {\left(a^{6} b^{2} + 6 \, a^{4} b^{3} + 9 \, a^{2} b^{4} + 4 \, b^{5} + {\left(a^{7} b^{2} + 9 \, a^{5} b^{3} + 24 \, a^{3} b^{4} + 16 \, a b^{5}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}}}{2 \, {\left(a^{4} b^{3} + 2 \, a^{2} b^{4} + b^{5}\right)} x}\right) + \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \arctan\left(\frac{\sqrt{\frac{1}{2}} {\left({\left(a^{5} + 8 \, a^{3} b + 16 \, a b^{2}\right)} x \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} - {\left(a^{4} + 5 \, a^{2} b + 4 \, b^{2}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \sqrt{\frac{\sqrt{\frac{1}{2}} {\left({\left(a^{8} b^{3} + 13 \, a^{6} b^{4} + 60 \, a^{4} b^{5} + 112 \, a^{2} b^{6} + 64 \, b^{7}\right)} x^{2} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} - {\left(a^{7} b^{3} + 6 \, a^{5} b^{4} + 9 \, a^{3} b^{5} + 4 \, a b^{6}\right)} x^{2}\right)} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} + 2 \, {\left(a^{4} b^{4} + 2 \, a^{2} b^{5} + b^{6}\right)} \sqrt{a x^{4} + b}}{x^{2}}} + {\left(a^{6} b^{2} + 6 \, a^{4} b^{3} + 9 \, a^{2} b^{4} + 4 \, b^{5} - {\left(a^{7} b^{2} + 9 \, a^{5} b^{3} + 24 \, a^{3} b^{4} + 16 \, a b^{5}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}}}{2 \, {\left(a^{4} b^{3} + 2 \, a^{2} b^{4} + b^{5}\right)} x}\right) - \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(\frac{\sqrt{\frac{1}{2}} {\left({\left(a^{8} + 14 \, a^{6} b + 72 \, a^{4} b^{2} + 160 \, a^{2} b^{3} + 128 \, b^{4}\right)} x \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} - {\left(a^{7} + 9 \, a^{5} b + 24 \, a^{3} b^{2} + 16 \, a b^{3}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} + 2 \, {\left(a x^{4} + b\right)}^{\frac{1}{4}} {\left(a^{2} b^{2} + b^{3}\right)}}{2 \, x}\right) + \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(a^{8} + 14 \, a^{6} b + 72 \, a^{4} b^{2} + 160 \, a^{2} b^{3} + 128 \, b^{4}\right)} x \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} - {\left(a^{7} + 9 \, a^{5} b + 24 \, a^{3} b^{2} + 16 \, a b^{3}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} - 2 \, {\left(a x^{4} + b\right)}^{\frac{1}{4}} {\left(a^{2} b^{2} + b^{3}\right)}}{2 \, x}\right) + \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(\frac{\sqrt{\frac{1}{2}} {\left({\left(a^{8} + 14 \, a^{6} b + 72 \, a^{4} b^{2} + 160 \, a^{2} b^{3} + 128 \, b^{4}\right)} x \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} + {\left(a^{7} + 9 \, a^{5} b + 24 \, a^{3} b^{2} + 16 \, a b^{3}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \sqrt{\frac{a^{3} + 3 \, a b - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} + 2 \, {\left(a x^{4} + b\right)}^{\frac{1}{4}} {\left(a^{2} b^{2} + b^{3}\right)}}{2 \, x}\right) - \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(a^{8} + 14 \, a^{6} b + 72 \, a^{4} b^{2} + 160 \, a^{2} b^{3} + 128 \, b^{4}\right)} x \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} + {\left(a^{7} + 9 \, a^{5} b + 24 \, a^{3} b^{2} + 16 \, a b^{3}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{3} + 3 \, a b - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \sqrt{\frac{a^{3} + 3 \, a b - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{4} + 2 \, a^{2} b + b^{2}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} - 2 \, {\left(a x^{4} + b\right)}^{\frac{1}{4}} {\left(a^{2} b^{2} + b^{3}\right)}}{2 \, x}\right) + \frac{2 \, \arctan\left(\frac{\frac{x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} + b}}{x^{2}}}}{a^{\frac{1}{4}}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}}{x}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}}"," ",0,"-sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*arctan(1/2*(sqrt(1/2)*((a^5 + 8*a^3*b + 16*a*b^2)*x*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) + (a^4 + 5*a^2*b + 4*b^2)*x)*sqrt(-(sqrt(1/2)*((a^8*b^3 + 13*a^6*b^4 + 60*a^4*b^5 + 112*a^2*b^6 + 64*b^7)*x^2*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) + (a^7*b^3 + 6*a^5*b^4 + 9*a^3*b^5 + 4*a*b^6)*x^2)*sqrt((a^3 + 3*a*b - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)) - 2*(a^4*b^4 + 2*a^2*b^5 + b^6)*sqrt(a*x^4 + b))/x^2) - (a^6*b^2 + 6*a^4*b^3 + 9*a^2*b^4 + 4*b^5 + (a^7*b^2 + 9*a^5*b^3 + 24*a^3*b^4 + 16*a*b^5)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))*(a*x^4 + b)^(1/4))*sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))/((a^4*b^3 + 2*a^2*b^4 + b^5)*x)) + sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*arctan(1/2*(sqrt(1/2)*((a^5 + 8*a^3*b + 16*a*b^2)*x*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) - (a^4 + 5*a^2*b + 4*b^2)*x)*sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*sqrt((sqrt(1/2)*((a^8*b^3 + 13*a^6*b^4 + 60*a^4*b^5 + 112*a^2*b^6 + 64*b^7)*x^2*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) - (a^7*b^3 + 6*a^5*b^4 + 9*a^3*b^5 + 4*a*b^6)*x^2)*sqrt((a^3 + 3*a*b + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)) + 2*(a^4*b^4 + 2*a^2*b^5 + b^6)*sqrt(a*x^4 + b))/x^2) + (a^6*b^2 + 6*a^4*b^3 + 9*a^2*b^4 + 4*b^5 - (a^7*b^2 + 9*a^5*b^3 + 24*a^3*b^4 + 16*a*b^5)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))*(a*x^4 + b)^(1/4)*sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))))/((a^4*b^3 + 2*a^2*b^4 + b^5)*x)) - 1/4*sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*log(1/2*(sqrt(1/2)*((a^8 + 14*a^6*b + 72*a^4*b^2 + 160*a^2*b^3 + 128*b^4)*x*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) - (a^7 + 9*a^5*b + 24*a^3*b^2 + 16*a*b^3)*x)*sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*sqrt((a^3 + 3*a*b + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)) + 2*(a*x^4 + b)^(1/4)*(a^2*b^2 + b^3))/x) + 1/4*sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*log(-1/2*(sqrt(1/2)*((a^8 + 14*a^6*b + 72*a^4*b^2 + 160*a^2*b^3 + 128*b^4)*x*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) - (a^7 + 9*a^5*b + 24*a^3*b^2 + 16*a*b^3)*x)*sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*sqrt((a^3 + 3*a*b + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)) - 2*(a*x^4 + b)^(1/4)*(a^2*b^2 + b^3))/x) + 1/4*sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*log(1/2*(sqrt(1/2)*((a^8 + 14*a^6*b + 72*a^4*b^2 + 160*a^2*b^3 + 128*b^4)*x*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) + (a^7 + 9*a^5*b + 24*a^3*b^2 + 16*a*b^3)*x)*sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*sqrt((a^3 + 3*a*b - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)) + 2*(a*x^4 + b)^(1/4)*(a^2*b^2 + b^3))/x) - 1/4*sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*log(-1/2*(sqrt(1/2)*((a^8 + 14*a^6*b + 72*a^4*b^2 + 160*a^2*b^3 + 128*b^4)*x*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) + (a^7 + 9*a^5*b + 24*a^3*b^2 + 16*a*b^3)*x)*sqrt(sqrt(1/2)*sqrt((a^3 + 3*a*b - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*sqrt((a^3 + 3*a*b - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^4 + 2*a^2*b + b^2)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)) - 2*(a*x^4 + b)^(1/4)*(a^2*b^2 + b^3))/x) + 2*arctan((x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 + b))/x^2)/a^(1/4) - (a*x^4 + b)^(1/4)/a^(1/4))/x)/a^(1/4) + 1/2*log((a^(1/4)*x + (a*x^4 + b)^(1/4))/x)/a^(1/4) - 1/2*log(-(a^(1/4)*x - (a*x^4 + b)^(1/4))/x)/a^(1/4)","B",0
1743,1,78,0,0.461600," ","integrate((c*x^2-x*(a*x^2-b*x)^(1/2))^(1/2)/x^3/(a*x^2-b*x)^(1/2),x, algorithm=""fricas"")","-\frac{4 \, {\left(3 \, b c x - 8 \, {\left(c^{3} - 4 \, a c\right)} x^{2} - \sqrt{a x^{2} - b x} {\left(4 \, {\left(c^{2} + 5 \, a\right)} x + 15 \, b\right)}\right)} \sqrt{c x^{2} - \sqrt{a x^{2} - b x} x}}{105 \, b^{2} x^{3}}"," ",0,"-4/105*(3*b*c*x - 8*(c^3 - 4*a*c)*x^2 - sqrt(a*x^2 - b*x)*(4*(c^2 + 5*a)*x + 15*b))*sqrt(c*x^2 - sqrt(a*x^2 - b*x)*x)/(b^2*x^3)","A",0
1744,1,101,0,0.442858," ","integrate((x^3+b)/(x^3+a)^(1/3),x, algorithm=""fricas"")","\frac{1}{9} \, \sqrt{3} {\left(a - 3 \, b\right)} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + a\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{1}{9} \, {\left(a - 3 \, b\right)} \log\left(-\frac{x - {\left(x^{3} + a\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{18} \, {\left(a - 3 \, b\right)} \log\left(\frac{x^{2} + {\left(x^{3} + a\right)}^{\frac{1}{3}} x + {\left(x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}}\right) + \frac{1}{3} \, {\left(x^{3} + a\right)}^{\frac{2}{3}} x"," ",0,"1/9*sqrt(3)*(a - 3*b)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + a)^(1/3))/x) + 1/9*(a - 3*b)*log(-(x - (x^3 + a)^(1/3))/x) - 1/18*(a - 3*b)*log((x^2 + (x^3 + a)^(1/3)*x + (x^3 + a)^(2/3))/x^2) + 1/3*(x^3 + a)^(2/3)*x","A",0
1745,1,100,0,81.811923," ","integrate((a*x^2+b)/(x^3+x)^(1/3),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{3} {\left(a - 3 \, b\right)} \arctan\left(-\frac{196 \, \sqrt{3} {\left(x^{3} + x\right)}^{\frac{1}{3}} x - \sqrt{3} {\left(539 \, x^{2} + 507\right)} - 1274 \, \sqrt{3} {\left(x^{3} + x\right)}^{\frac{2}{3}}}{2205 \, x^{2} + 2197}\right) + \frac{1}{12} \, {\left(a - 3 \, b\right)} \log\left(3 \, {\left(x^{3} + x\right)}^{\frac{1}{3}} x - 3 \, {\left(x^{3} + x\right)}^{\frac{2}{3}} + 1\right) + \frac{1}{2} \, {\left(x^{3} + x\right)}^{\frac{2}{3}} a"," ",0,"-1/6*sqrt(3)*(a - 3*b)*arctan(-(196*sqrt(3)*(x^3 + x)^(1/3)*x - sqrt(3)*(539*x^2 + 507) - 1274*sqrt(3)*(x^3 + x)^(2/3))/(2205*x^2 + 2197)) + 1/12*(a - 3*b)*log(3*(x^3 + x)^(1/3)*x - 3*(x^3 + x)^(2/3) + 1) + 1/2*(x^3 + x)^(2/3)*a","A",0
1746,1,110,0,0.446082," ","integrate((x^3-x^2)^(1/3),x, algorithm=""fricas"")","-\frac{1}{9} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{1}{6} \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(3 \, x - 1\right)} + \frac{1}{9} \, \log\left(-\frac{x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{18} \, \log\left(\frac{x^{2} + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-1/9*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 - x^2)^(1/3))/x) + 1/6*(x^3 - x^2)^(1/3)*(3*x - 1) + 1/9*log(-(x - (x^3 - x^2)^(1/3))/x) - 1/18*log((x^2 + (x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(2/3))/x^2)","A",0
1747,1,110,0,0.450158," ","integrate(x^2*(x^3+x^2)^(1/3),x, algorithm=""fricas"")","-\frac{10}{243} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{1}{324} \, {\left(81 \, x^{3} + 9 \, x^{2} - 12 \, x + 20\right)} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} + \frac{10}{243} \, \log\left(-\frac{x - {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{5}{243} \, \log\left(\frac{x^{2} + {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-10/243*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + x^2)^(1/3))/x) + 1/324*(81*x^3 + 9*x^2 - 12*x + 20)*(x^3 + x^2)^(1/3) + 10/243*log(-(x - (x^3 + x^2)^(1/3))/x) - 5/243*log((x^2 + (x^3 + x^2)^(1/3)*x + (x^3 + x^2)^(2/3))/x^2)","A",0
1748,-1,0,0,0.000000," ","integrate(x^4/(x^4+1)^2/(x^4+x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1749,-1,0,0,0.000000," ","integrate(x^4/(x^4+1)^2/(x^4+x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1750,1,153,0,5.579584," ","integrate((x^4-3)*(x^4-x^3+1)*(x^4+x^3+1)^(2/3)/x^6/(x^4+1),x, algorithm=""fricas"")","\frac{10 \, \sqrt{3} x^{5} \arctan\left(-\frac{7043582 \, \sqrt{3} {\left(x^{4} + x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 984256 \, \sqrt{3} {\left(x^{4} + x^{3} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(145408 \, x^{4} + 3029663 \, x^{3} + 145408\right)}}{32768 \, x^{4} + 12041757 \, x^{3} + 32768}\right) - 5 \, x^{5} \log\left(\frac{x^{4} + 3 \, {\left(x^{4} + x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{4} + x^{3} + 1\right)}^{\frac{2}{3}} x + 1}{x^{4} + 1}\right) + 3 \, {\left(2 \, x^{4} - 3 \, x^{3} + 2\right)} {\left(x^{4} + x^{3} + 1\right)}^{\frac{2}{3}}}{10 \, x^{5}}"," ",0,"1/10*(10*sqrt(3)*x^5*arctan(-(7043582*sqrt(3)*(x^4 + x^3 + 1)^(1/3)*x^2 - 984256*sqrt(3)*(x^4 + x^3 + 1)^(2/3)*x + sqrt(3)*(145408*x^4 + 3029663*x^3 + 145408))/(32768*x^4 + 12041757*x^3 + 32768)) - 5*x^5*log((x^4 + 3*(x^4 + x^3 + 1)^(1/3)*x^2 - 3*(x^4 + x^3 + 1)^(2/3)*x + 1)/(x^4 + 1)) + 3*(2*x^4 - 3*x^3 + 2)*(x^4 + x^3 + 1)^(2/3))/x^5","A",0
1751,-1,0,0,0.000000," ","integrate((2*a*x^4-b)/(a*x^4+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1752,-1,0,0,0.000000," ","integrate((2*a*x^4-b)/(a*x^4+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1753,1,294,0,5.208621," ","integrate((x^2+1)/(x^2-1)/(x^5+x)^(1/3),x, algorithm=""fricas"")","-\frac{1}{12} \, \sqrt{3} 2^{\frac{2}{3}} \arctan\left(-\frac{\sqrt{3} 2^{\frac{1}{6}} {\left(2^{\frac{5}{6}} {\left(x^{12} - 24 \, x^{10} - 57 \, x^{8} - 56 \, x^{6} - 57 \, x^{4} - 24 \, x^{2} + 1\right)} + 24 \, \sqrt{2} {\left(x^{9} - x^{7} - x^{3} + x\right)} {\left(x^{5} + x\right)}^{\frac{1}{3}} - 12 \cdot 2^{\frac{1}{6}} {\left(x^{8} + 14 \, x^{6} + 6 \, x^{4} + 14 \, x^{2} + 1\right)} {\left(x^{5} + x\right)}^{\frac{2}{3}}\right)}}{6 \, {\left(x^{12} + 48 \, x^{10} + 15 \, x^{8} + 88 \, x^{6} + 15 \, x^{4} + 48 \, x^{2} + 1\right)}}\right) - \frac{1}{24} \cdot 2^{\frac{2}{3}} \log\left(\frac{2^{\frac{2}{3}} {\left(x^{8} + 14 \, x^{6} + 6 \, x^{4} + 14 \, x^{2} + 1\right)} + 12 \cdot 2^{\frac{1}{3}} {\left(x^{5} + x^{3} + x\right)} {\left(x^{5} + x\right)}^{\frac{1}{3}} + 6 \, {\left(x^{5} + x\right)}^{\frac{2}{3}} {\left(x^{4} + 4 \, x^{2} + 1\right)}}{x^{8} - 4 \, x^{6} + 6 \, x^{4} - 4 \, x^{2} + 1}\right) + \frac{1}{12} \cdot 2^{\frac{2}{3}} \log\left(\frac{3 \cdot 2^{\frac{2}{3}} {\left(x^{5} + x\right)}^{\frac{2}{3}} - 2^{\frac{1}{3}} {\left(x^{4} - 2 \, x^{2} + 1\right)} - 6 \, {\left(x^{5} + x\right)}^{\frac{1}{3}} x}{x^{4} - 2 \, x^{2} + 1}\right)"," ",0,"-1/12*sqrt(3)*2^(2/3)*arctan(-1/6*sqrt(3)*2^(1/6)*(2^(5/6)*(x^12 - 24*x^10 - 57*x^8 - 56*x^6 - 57*x^4 - 24*x^2 + 1) + 24*sqrt(2)*(x^9 - x^7 - x^3 + x)*(x^5 + x)^(1/3) - 12*2^(1/6)*(x^8 + 14*x^6 + 6*x^4 + 14*x^2 + 1)*(x^5 + x)^(2/3))/(x^12 + 48*x^10 + 15*x^8 + 88*x^6 + 15*x^4 + 48*x^2 + 1)) - 1/24*2^(2/3)*log((2^(2/3)*(x^8 + 14*x^6 + 6*x^4 + 14*x^2 + 1) + 12*2^(1/3)*(x^5 + x^3 + x)*(x^5 + x)^(1/3) + 6*(x^5 + x)^(2/3)*(x^4 + 4*x^2 + 1))/(x^8 - 4*x^6 + 6*x^4 - 4*x^2 + 1)) + 1/12*2^(2/3)*log((3*2^(2/3)*(x^5 + x)^(2/3) - 2^(1/3)*(x^4 - 2*x^2 + 1) - 6*(x^5 + x)^(1/3)*x)/(x^4 - 2*x^2 + 1))","B",0
1754,1,545,0,7.416795," ","integrate((x^2-1)*(x^6+x^2)^(1/4)/x^2/(x^2+1),x, algorithm=""fricas"")","-\frac{4 \cdot 2^{\frac{3}{4}} x \arctan\left(-\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \, \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)} \sqrt{\frac{x^{5} + 2 \, x^{3} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x}{x^{5} + 2 \, x^{3} + x}} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) + 4 \cdot 2^{\frac{3}{4}} x \arctan\left(-\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \, \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)} \sqrt{\frac{x^{5} + 2 \, x^{3} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x - 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x}{x^{5} + 2 \, x^{3} + x}} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) + 2^{\frac{3}{4}} x \log\left(\frac{2 \, {\left(x^{5} + 2 \, x^{3} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x\right)}}{x^{5} + 2 \, x^{3} + x}\right) - 2^{\frac{3}{4}} x \log\left(\frac{2 \, {\left(x^{5} + 2 \, x^{3} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x - 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x\right)}}{x^{5} + 2 \, x^{3} + x}\right) - 16 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}}{8 \, x}"," ",0,"-1/8*(4*2^(3/4)*x*arctan(-1/2*(4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(2*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 4*sqrt(x^6 + x^2)*x + 2*2^(1/4)*(x^6 + x^2)^(3/4))*sqrt((x^5 + 2*x^3 + 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x + 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) + 2*2^(3/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 4*2^(3/4)*x*arctan(-1/2*(4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(2*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 4*sqrt(x^6 + x^2)*x + 2*2^(1/4)*(x^6 + x^2)^(3/4))*sqrt((x^5 + 2*x^3 - 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x - 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) + 2*2^(3/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 2^(3/4)*x*log(2*(x^5 + 2*x^3 + 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x + 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) - 2^(3/4)*x*log(2*(x^5 + 2*x^3 - 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x - 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) - 16*(x^6 + x^2)^(1/4))/x","B",0
1755,1,545,0,7.441892," ","integrate((x^2-1)*(x^6+x^2)^(1/4)/x^2/(x^2+1),x, algorithm=""fricas"")","-\frac{4 \cdot 2^{\frac{3}{4}} x \arctan\left(-\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \, \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)} \sqrt{\frac{x^{5} + 2 \, x^{3} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x}{x^{5} + 2 \, x^{3} + x}} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) + 4 \cdot 2^{\frac{3}{4}} x \arctan\left(-\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \, \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)} \sqrt{\frac{x^{5} + 2 \, x^{3} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x - 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x}{x^{5} + 2 \, x^{3} + x}} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) + 2^{\frac{3}{4}} x \log\left(\frac{2 \, {\left(x^{5} + 2 \, x^{3} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x\right)}}{x^{5} + 2 \, x^{3} + x}\right) - 2^{\frac{3}{4}} x \log\left(\frac{2 \, {\left(x^{5} + 2 \, x^{3} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x - 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x\right)}}{x^{5} + 2 \, x^{3} + x}\right) - 16 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}}{8 \, x}"," ",0,"-1/8*(4*2^(3/4)*x*arctan(-1/2*(4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(2*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 4*sqrt(x^6 + x^2)*x + 2*2^(1/4)*(x^6 + x^2)^(3/4))*sqrt((x^5 + 2*x^3 + 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x + 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) + 2*2^(3/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 4*2^(3/4)*x*arctan(-1/2*(4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(2*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 4*sqrt(x^6 + x^2)*x + 2*2^(1/4)*(x^6 + x^2)^(3/4))*sqrt((x^5 + 2*x^3 - 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x - 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) + 2*2^(3/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 2^(3/4)*x*log(2*(x^5 + 2*x^3 + 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x + 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) - 2^(3/4)*x*log(2*(x^5 + 2*x^3 - 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x - 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) - 16*(x^6 + x^2)^(1/4))/x","B",0
1756,1,155,0,1.022131," ","integrate((x^3-1)^(2/3)*(4*x^6-5*x^3+1)/x^6/(2*x^3-1)^2,x, algorithm=""fricas"")","-\frac{70 \, \sqrt{3} {\left(2 \, x^{8} - x^{5}\right)} \arctan\left(\frac{4 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 2 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(x^{3} - 1\right)}}{7 \, x^{3} + 1}\right) - 35 \, {\left(2 \, x^{8} - x^{5}\right)} \log\left(\frac{2 \, x^{3} + 3 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x - 1}{2 \, x^{3} - 1}\right) - 3 \, {\left(62 \, x^{6} - 33 \, x^{3} + 6\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{90 \, {\left(2 \, x^{8} - x^{5}\right)}}"," ",0,"-1/90*(70*sqrt(3)*(2*x^8 - x^5)*arctan((4*sqrt(3)*(x^3 - 1)^(1/3)*x^2 + 2*sqrt(3)*(x^3 - 1)^(2/3)*x + sqrt(3)*(x^3 - 1))/(7*x^3 + 1)) - 35*(2*x^8 - x^5)*log((2*x^3 + 3*(x^3 - 1)^(1/3)*x^2 + 3*(x^3 - 1)^(2/3)*x - 1)/(2*x^3 - 1)) - 3*(62*x^6 - 33*x^3 + 6)*(x^3 - 1)^(2/3))/(2*x^8 - x^5)","A",0
1757,1,243,0,0.462919," ","integrate((1+x)^(1/2)*(1+(1+x)^(1/2))^(1/2)/(x-(1+x)^(1/2)),x, algorithm=""fricas"")","\frac{4}{3} \, {\left(\sqrt{x + 1} + 4\right)} \sqrt{\sqrt{x + 1} + 1} + \frac{4}{5} \, \sqrt{5} \log\left(\frac{2 \, x^{2} + \sqrt{5} {\left(3 \, x + 1\right)} + {\left(\sqrt{5} {\left(x + 2\right)} + 5 \, x\right)} \sqrt{x + 1} - {\left(\sqrt{5} {\left(x + 2\right)} + {\left(\sqrt{5} {\left(2 \, x - 1\right)} + 5\right)} \sqrt{x + 1} + 5 \, x\right)} \sqrt{\sqrt{x + 1} + 1} + 3 \, x + 3}{x^{2} - x - 1}\right) + \frac{4}{5} \, \sqrt{5} \log\left(\frac{2 \, x^{2} - \sqrt{5} {\left(3 \, x + 1\right)} - {\left(\sqrt{5} {\left(x + 2\right)} - 5 \, x\right)} \sqrt{x + 1} - {\left(\sqrt{5} {\left(x + 2\right)} + {\left(\sqrt{5} {\left(2 \, x - 1\right)} - 5\right)} \sqrt{x + 1} - 5 \, x\right)} \sqrt{\sqrt{x + 1} + 1} + 3 \, x + 3}{x^{2} - x - 1}\right) - 2 \, \log\left(\sqrt{x + 1} + \sqrt{\sqrt{x + 1} + 1}\right) + 2 \, \log\left(\sqrt{x + 1} - \sqrt{\sqrt{x + 1} + 1}\right)"," ",0,"4/3*(sqrt(x + 1) + 4)*sqrt(sqrt(x + 1) + 1) + 4/5*sqrt(5)*log((2*x^2 + sqrt(5)*(3*x + 1) + (sqrt(5)*(x + 2) + 5*x)*sqrt(x + 1) - (sqrt(5)*(x + 2) + (sqrt(5)*(2*x - 1) + 5)*sqrt(x + 1) + 5*x)*sqrt(sqrt(x + 1) + 1) + 3*x + 3)/(x^2 - x - 1)) + 4/5*sqrt(5)*log((2*x^2 - sqrt(5)*(3*x + 1) - (sqrt(5)*(x + 2) - 5*x)*sqrt(x + 1) - (sqrt(5)*(x + 2) + (sqrt(5)*(2*x - 1) - 5)*sqrt(x + 1) - 5*x)*sqrt(sqrt(x + 1) + 1) + 3*x + 3)/(x^2 - x - 1)) - 2*log(sqrt(x + 1) + sqrt(sqrt(x + 1) + 1)) + 2*log(sqrt(x + 1) - sqrt(sqrt(x + 1) + 1))","B",0
1758,-1,0,0,0.000000," ","integrate((a*x+b)^(1/2)/(a*b*x+(a*x+b)^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1759,1,319,0,4.571181," ","integrate((a^2*x^4+b)^(1/2)/(a*x^2+(a^2*x^4+b)^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{5 \, \sqrt{\frac{1}{2}} b \sqrt{-\frac{b}{a}} \log\left(4 \, a^{2} b x^{4} - 4 \, \sqrt{a^{2} x^{4} + b} a b x^{2} + b^{2} + 4 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{a^{2} x^{4} + b} a^{2} x^{3} \sqrt{-\frac{b}{a}} - \sqrt{\frac{1}{2}} {\left(2 \, a^{3} x^{5} + a b x\right)} \sqrt{-\frac{b}{a}}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}\right) + 2 \, {\left(2 \, a^{2} x^{5} - 2 \, \sqrt{a^{2} x^{4} + b} a x^{3} + 3 \, b x\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{16 \, b}, -\frac{5 \, \sqrt{\frac{1}{2}} b \sqrt{\frac{b}{a}} \arctan\left(-\frac{{\left(\sqrt{\frac{1}{2}} a x^{2} \sqrt{\frac{b}{a}} - \sqrt{\frac{1}{2}} \sqrt{a^{2} x^{4} + b} \sqrt{\frac{b}{a}}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{b x}\right) - {\left(2 \, a^{2} x^{5} - 2 \, \sqrt{a^{2} x^{4} + b} a x^{3} + 3 \, b x\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{8 \, b}\right]"," ",0,"[1/16*(5*sqrt(1/2)*b*sqrt(-b/a)*log(4*a^2*b*x^4 - 4*sqrt(a^2*x^4 + b)*a*b*x^2 + b^2 + 4*(2*sqrt(1/2)*sqrt(a^2*x^4 + b)*a^2*x^3*sqrt(-b/a) - sqrt(1/2)*(2*a^3*x^5 + a*b*x)*sqrt(-b/a))*sqrt(a*x^2 + sqrt(a^2*x^4 + b))) + 2*(2*a^2*x^5 - 2*sqrt(a^2*x^4 + b)*a*x^3 + 3*b*x)*sqrt(a*x^2 + sqrt(a^2*x^4 + b)))/b, -1/8*(5*sqrt(1/2)*b*sqrt(b/a)*arctan(-(sqrt(1/2)*a*x^2*sqrt(b/a) - sqrt(1/2)*sqrt(a^2*x^4 + b)*sqrt(b/a))*sqrt(a*x^2 + sqrt(a^2*x^4 + b))/(b*x)) - (2*a^2*x^5 - 2*sqrt(a^2*x^4 + b)*a*x^3 + 3*b*x)*sqrt(a*x^2 + sqrt(a^2*x^4 + b)))/b]","A",0
1760,-1,0,0,0.000000," ","integrate(1/(e*x+f)/(d+(c+(a*x+b)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1761,-1,0,0,0.000000," ","integrate((-a*b+(-a+2*b)*x)/(x*(-a+x)*(-b+x)^2)^(1/4)/(-b^2+(-a*d+2*b)*x+(-1+d)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1762,1,111,0,0.471849," ","integrate(x^13*(x^3-1)^(1/3),x, algorithm=""fricas"")","-\frac{22}{2187} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{1}{14580} \, {\left(972 \, x^{14} - 81 \, x^{11} - 99 \, x^{8} - 132 \, x^{5} - 220 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}} + \frac{22}{2187} \, \log\left(-\frac{x - {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x}\right) - \frac{11}{2187} \, \log\left(\frac{x^{2} + {\left(x^{3} - 1\right)}^{\frac{1}{3}} x + {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-22/2187*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 - 1)^(1/3))/x) + 1/14580*(972*x^14 - 81*x^11 - 99*x^8 - 132*x^5 - 220*x^2)*(x^3 - 1)^(1/3) + 22/2187*log(-(x - (x^3 - 1)^(1/3))/x) - 11/2187*log((x^2 + (x^3 - 1)^(1/3)*x + (x^3 - 1)^(2/3))/x^2)","A",0
1763,-1,0,0,0.000000," ","integrate((a*b^2-2*(2*a-b)*b*x+(3*a-2*b)*x^2)/(x*(-a+x)*(-b+x)^2)^(1/4)/(a^3+(b^2*d-3*a^2)*x+(-2*b*d+3*a)*x^2+(-1+d)*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1764,-2,0,0,0.000000," ","integrate((2*x^3+x)^(1/3)*(x^4-1)/x^4/(x^4-x^2+2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1765,-1,0,0,0.000000," ","integrate((2*a*x^4+b)/(a*x^4-b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1766,-1,0,0,0.000000," ","integrate((2*a*x^4+b)/(a*x^4-b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1767,1,149,0,14.969277," ","integrate((x^6+1)*(x^6-x^3-1)^(2/3)/x^3/(x^6-1),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{2} \arctan\left(\frac{37791663946489640698390389259748112672665344841760398436632573406805797258440392514 \, \sqrt{3} {\left(x^{6} - x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 42616282523552719904247910491772924807300791980535303720609605641285532900565158554 \, \sqrt{3} {\left(x^{6} - x^{3} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(18323047168343312092760155949313307647509257018220563551640555707801529868232673857 \, x^{6} + 2412309288531539602928760616012406067317723569387452641988516117239867821062383020 \, x^{3} - 18323047168343312092760155949313307647509257018220563551640555707801529868232673857\right)}}{71058247355948940593342690344230822422479089551095495524443013398313353987294270891 \, x^{6} - 120611919705063540903957449627281556219949205233443553235863268572136995238508326602 \, x^{3} - 71058247355948940593342690344230822422479089551095495524443013398313353987294270891}\right) + x^{2} \log\left(\frac{x^{6} + 3 \, {\left(x^{6} - x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{6} - x^{3} - 1\right)}^{\frac{2}{3}} x - 1}{x^{6} - 1}\right) + 3 \, {\left(x^{6} - x^{3} - 1\right)}^{\frac{2}{3}}}{6 \, x^{2}}"," ",0,"1/6*(2*sqrt(3)*x^2*arctan((37791663946489640698390389259748112672665344841760398436632573406805797258440392514*sqrt(3)*(x^6 - x^3 - 1)^(1/3)*x^2 + 42616282523552719904247910491772924807300791980535303720609605641285532900565158554*sqrt(3)*(x^6 - x^3 - 1)^(2/3)*x + sqrt(3)*(18323047168343312092760155949313307647509257018220563551640555707801529868232673857*x^6 + 2412309288531539602928760616012406067317723569387452641988516117239867821062383020*x^3 - 18323047168343312092760155949313307647509257018220563551640555707801529868232673857))/(71058247355948940593342690344230822422479089551095495524443013398313353987294270891*x^6 - 120611919705063540903957449627281556219949205233443553235863268572136995238508326602*x^3 - 71058247355948940593342690344230822422479089551095495524443013398313353987294270891)) + x^2*log((x^6 + 3*(x^6 - x^3 - 1)^(1/3)*x^2 + 3*(x^6 - x^3 - 1)^(2/3)*x - 1)/(x^6 - 1)) + 3*(x^6 - x^3 - 1)^(2/3))/x^2","A",0
1768,1,780,0,101.754355," ","integrate((x^6+4)*(x^6-x^4-2)^(1/4)/x^2/(x^6-2),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{2} x \arctan\left(-\frac{x^{12} - 4 \, x^{6} + 2 \, \sqrt{2} {\left(x^{7} - 4 \, x^{5} - 2 \, x\right)} {\left(x^{6} - x^{4} - 2\right)}^{\frac{3}{4}} + 2 \, \sqrt{2} {\left(3 \, x^{9} - 4 \, x^{7} - 6 \, x^{3}\right)} {\left(x^{6} - x^{4} - 2\right)}^{\frac{1}{4}} + 4 \, {\left(x^{8} - 2 \, x^{2}\right)} \sqrt{x^{6} - x^{4} - 2} - {\left(16 \, {\left(x^{6} - x^{4} - 2\right)}^{\frac{3}{4}} x^{5} + 2 \, \sqrt{2} {\left(x^{8} - 4 \, x^{6} - 2 \, x^{2}\right)} \sqrt{x^{6} - x^{4} - 2} + \sqrt{2} {\left(x^{12} - 10 \, x^{10} + 8 \, x^{8} - 4 \, x^{6} + 20 \, x^{4} + 4\right)} + 4 \, {\left(x^{9} - 2 \, x^{3}\right)} {\left(x^{6} - x^{4} - 2\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{6} + 2 \, \sqrt{2} {\left(x^{6} - x^{4} - 2\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{x^{6} - x^{4} - 2} x^{2} + 2 \, \sqrt{2} {\left(x^{6} - x^{4} - 2\right)}^{\frac{3}{4}} x - 2}{x^{6} - 2}} + 4}{x^{12} - 16 \, x^{10} + 16 \, x^{8} - 4 \, x^{6} + 32 \, x^{4} + 4}\right) - 4 \, \sqrt{2} x \arctan\left(-\frac{x^{12} - 4 \, x^{6} - 2 \, \sqrt{2} {\left(x^{7} - 4 \, x^{5} - 2 \, x\right)} {\left(x^{6} - x^{4} - 2\right)}^{\frac{3}{4}} - 2 \, \sqrt{2} {\left(3 \, x^{9} - 4 \, x^{7} - 6 \, x^{3}\right)} {\left(x^{6} - x^{4} - 2\right)}^{\frac{1}{4}} + 4 \, {\left(x^{8} - 2 \, x^{2}\right)} \sqrt{x^{6} - x^{4} - 2} - {\left(16 \, {\left(x^{6} - x^{4} - 2\right)}^{\frac{3}{4}} x^{5} - 2 \, \sqrt{2} {\left(x^{8} - 4 \, x^{6} - 2 \, x^{2}\right)} \sqrt{x^{6} - x^{4} - 2} - \sqrt{2} {\left(x^{12} - 10 \, x^{10} + 8 \, x^{8} - 4 \, x^{6} + 20 \, x^{4} + 4\right)} + 4 \, {\left(x^{9} - 2 \, x^{3}\right)} {\left(x^{6} - x^{4} - 2\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{6} - 2 \, \sqrt{2} {\left(x^{6} - x^{4} - 2\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{x^{6} - x^{4} - 2} x^{2} - 2 \, \sqrt{2} {\left(x^{6} - x^{4} - 2\right)}^{\frac{3}{4}} x - 2}{x^{6} - 2}} + 4}{x^{12} - 16 \, x^{10} + 16 \, x^{8} - 4 \, x^{6} + 32 \, x^{4} + 4}\right) + \sqrt{2} x \log\left(\frac{4 \, {\left(x^{6} + 2 \, \sqrt{2} {\left(x^{6} - x^{4} - 2\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{x^{6} - x^{4} - 2} x^{2} + 2 \, \sqrt{2} {\left(x^{6} - x^{4} - 2\right)}^{\frac{3}{4}} x - 2\right)}}{x^{6} - 2}\right) - \sqrt{2} x \log\left(\frac{4 \, {\left(x^{6} - 2 \, \sqrt{2} {\left(x^{6} - x^{4} - 2\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{x^{6} - x^{4} - 2} x^{2} - 2 \, \sqrt{2} {\left(x^{6} - x^{4} - 2\right)}^{\frac{3}{4}} x - 2\right)}}{x^{6} - 2}\right) - 16 \, {\left(x^{6} - x^{4} - 2\right)}^{\frac{1}{4}}}{8 \, x}"," ",0,"-1/8*(4*sqrt(2)*x*arctan(-(x^12 - 4*x^6 + 2*sqrt(2)*(x^7 - 4*x^5 - 2*x)*(x^6 - x^4 - 2)^(3/4) + 2*sqrt(2)*(3*x^9 - 4*x^7 - 6*x^3)*(x^6 - x^4 - 2)^(1/4) + 4*(x^8 - 2*x^2)*sqrt(x^6 - x^4 - 2) - (16*(x^6 - x^4 - 2)^(3/4)*x^5 + 2*sqrt(2)*(x^8 - 4*x^6 - 2*x^2)*sqrt(x^6 - x^4 - 2) + sqrt(2)*(x^12 - 10*x^10 + 8*x^8 - 4*x^6 + 20*x^4 + 4) + 4*(x^9 - 2*x^3)*(x^6 - x^4 - 2)^(1/4))*sqrt((x^6 + 2*sqrt(2)*(x^6 - x^4 - 2)^(1/4)*x^3 + 4*sqrt(x^6 - x^4 - 2)*x^2 + 2*sqrt(2)*(x^6 - x^4 - 2)^(3/4)*x - 2)/(x^6 - 2)) + 4)/(x^12 - 16*x^10 + 16*x^8 - 4*x^6 + 32*x^4 + 4)) - 4*sqrt(2)*x*arctan(-(x^12 - 4*x^6 - 2*sqrt(2)*(x^7 - 4*x^5 - 2*x)*(x^6 - x^4 - 2)^(3/4) - 2*sqrt(2)*(3*x^9 - 4*x^7 - 6*x^3)*(x^6 - x^4 - 2)^(1/4) + 4*(x^8 - 2*x^2)*sqrt(x^6 - x^4 - 2) - (16*(x^6 - x^4 - 2)^(3/4)*x^5 - 2*sqrt(2)*(x^8 - 4*x^6 - 2*x^2)*sqrt(x^6 - x^4 - 2) - sqrt(2)*(x^12 - 10*x^10 + 8*x^8 - 4*x^6 + 20*x^4 + 4) + 4*(x^9 - 2*x^3)*(x^6 - x^4 - 2)^(1/4))*sqrt((x^6 - 2*sqrt(2)*(x^6 - x^4 - 2)^(1/4)*x^3 + 4*sqrt(x^6 - x^4 - 2)*x^2 - 2*sqrt(2)*(x^6 - x^4 - 2)^(3/4)*x - 2)/(x^6 - 2)) + 4)/(x^12 - 16*x^10 + 16*x^8 - 4*x^6 + 32*x^4 + 4)) + sqrt(2)*x*log(4*(x^6 + 2*sqrt(2)*(x^6 - x^4 - 2)^(1/4)*x^3 + 4*sqrt(x^6 - x^4 - 2)*x^2 + 2*sqrt(2)*(x^6 - x^4 - 2)^(3/4)*x - 2)/(x^6 - 2)) - sqrt(2)*x*log(4*(x^6 - 2*sqrt(2)*(x^6 - x^4 - 2)^(1/4)*x^3 + 4*sqrt(x^6 - x^4 - 2)*x^2 - 2*sqrt(2)*(x^6 - x^4 - 2)^(3/4)*x - 2)/(x^6 - 2)) - 16*(x^6 - x^4 - 2)^(1/4))/x","B",0
1769,1,265,0,0.465134," ","integrate((a*x^8+b*x^7)^(1/4),x, algorithm=""fricas"")","-\frac{84 \, a^{2} \left(\frac{b^{12}}{a^{11}}\right)^{\frac{1}{4}} x \arctan\left(-\frac{{\left(a x^{8} + b x^{7}\right)}^{\frac{1}{4}} a^{8} b^{3} \left(\frac{b^{12}}{a^{11}}\right)^{\frac{3}{4}} - a^{8} \left(\frac{b^{12}}{a^{11}}\right)^{\frac{3}{4}} x^{2} \sqrt{\frac{a^{6} \sqrt{\frac{b^{12}}{a^{11}}} x^{4} + \sqrt{a x^{8} + b x^{7}} b^{6}}{x^{4}}}}{b^{12} x^{2}}\right) - 21 \, a^{2} \left(\frac{b^{12}}{a^{11}}\right)^{\frac{1}{4}} x \log\left(\frac{7 \, {\left(a^{3} \left(\frac{b^{12}}{a^{11}}\right)^{\frac{1}{4}} x^{2} + {\left(a x^{8} + b x^{7}\right)}^{\frac{1}{4}} b^{3}\right)}}{x^{2}}\right) + 21 \, a^{2} \left(\frac{b^{12}}{a^{11}}\right)^{\frac{1}{4}} x \log\left(-\frac{7 \, {\left(a^{3} \left(\frac{b^{12}}{a^{11}}\right)^{\frac{1}{4}} x^{2} - {\left(a x^{8} + b x^{7}\right)}^{\frac{1}{4}} b^{3}\right)}}{x^{2}}\right) - 4 \, {\left(a x^{8} + b x^{7}\right)}^{\frac{1}{4}} {\left(32 \, a^{2} x^{2} + 4 \, a b x - 7 \, b^{2}\right)}}{384 \, a^{2} x}"," ",0,"-1/384*(84*a^2*(b^12/a^11)^(1/4)*x*arctan(-((a*x^8 + b*x^7)^(1/4)*a^8*b^3*(b^12/a^11)^(3/4) - a^8*(b^12/a^11)^(3/4)*x^2*sqrt((a^6*sqrt(b^12/a^11)*x^4 + sqrt(a*x^8 + b*x^7)*b^6)/x^4))/(b^12*x^2)) - 21*a^2*(b^12/a^11)^(1/4)*x*log(7*(a^3*(b^12/a^11)^(1/4)*x^2 + (a*x^8 + b*x^7)^(1/4)*b^3)/x^2) + 21*a^2*(b^12/a^11)^(1/4)*x*log(-7*(a^3*(b^12/a^11)^(1/4)*x^2 - (a*x^8 + b*x^7)^(1/4)*b^3)/x^2) - 4*(a*x^8 + b*x^7)^(1/4)*(32*a^2*x^2 + 4*a*b*x - 7*b^2))/(a^2*x)","B",0
1770,1,395,0,0.598801," ","integrate((x^10-1)/(x^4+1)^(1/2)/(x^10+1),x, algorithm=""fricas"")","-\frac{1}{10} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} x}{\sqrt{x^{4} + 1}}\right) - \frac{1}{5} \, \sqrt{2 \, \sqrt{5} + 2} \arctan\left(-\frac{2 \, {\left(x^{5} - 2 \, x^{3} - \sqrt{5} {\left(x^{5} + x\right)} + x\right)} \sqrt{x^{4} + 1} \sqrt{2 \, \sqrt{5} + 2} - {\left(x^{8} + 5 \, x^{6} + 3 \, x^{4} + 5 \, x^{2} + \sqrt{5} {\left(x^{8} + x^{6} + 3 \, x^{4} + x^{2} + 1\right)} + 1\right)} \sqrt{2 \, \sqrt{5} + 2} \sqrt{\sqrt{5} - 2}}{4 \, {\left(x^{8} + x^{6} + x^{4} + x^{2} + 1\right)}}\right) - \frac{1}{20} \, \sqrt{2 \, \sqrt{5} - 2} \log\left(-\frac{4 \, {\left(3 \, x^{5} + x^{3} + \sqrt{5} {\left(x^{5} + x^{3} + x\right)} + 3 \, x\right)} \sqrt{x^{4} + 1} + {\left(3 \, x^{8} + 5 \, x^{6} + 9 \, x^{4} + 5 \, x^{2} + \sqrt{5} {\left(x^{8} + 3 \, x^{6} + 3 \, x^{4} + 3 \, x^{2} + 1\right)} + 3\right)} \sqrt{2 \, \sqrt{5} - 2}}{x^{8} - x^{6} + x^{4} - x^{2} + 1}\right) + \frac{1}{20} \, \sqrt{2 \, \sqrt{5} - 2} \log\left(-\frac{4 \, {\left(3 \, x^{5} + x^{3} + \sqrt{5} {\left(x^{5} + x^{3} + x\right)} + 3 \, x\right)} \sqrt{x^{4} + 1} - {\left(3 \, x^{8} + 5 \, x^{6} + 9 \, x^{4} + 5 \, x^{2} + \sqrt{5} {\left(x^{8} + 3 \, x^{6} + 3 \, x^{4} + 3 \, x^{2} + 1\right)} + 3\right)} \sqrt{2 \, \sqrt{5} - 2}}{x^{8} - x^{6} + x^{4} - x^{2} + 1}\right)"," ",0,"-1/10*sqrt(2)*arctan(sqrt(2)*x/sqrt(x^4 + 1)) - 1/5*sqrt(2*sqrt(5) + 2)*arctan(-1/4*(2*(x^5 - 2*x^3 - sqrt(5)*(x^5 + x) + x)*sqrt(x^4 + 1)*sqrt(2*sqrt(5) + 2) - (x^8 + 5*x^6 + 3*x^4 + 5*x^2 + sqrt(5)*(x^8 + x^6 + 3*x^4 + x^2 + 1) + 1)*sqrt(2*sqrt(5) + 2)*sqrt(sqrt(5) - 2))/(x^8 + x^6 + x^4 + x^2 + 1)) - 1/20*sqrt(2*sqrt(5) - 2)*log(-(4*(3*x^5 + x^3 + sqrt(5)*(x^5 + x^3 + x) + 3*x)*sqrt(x^4 + 1) + (3*x^8 + 5*x^6 + 9*x^4 + 5*x^2 + sqrt(5)*(x^8 + 3*x^6 + 3*x^4 + 3*x^2 + 1) + 3)*sqrt(2*sqrt(5) - 2))/(x^8 - x^6 + x^4 - x^2 + 1)) + 1/20*sqrt(2*sqrt(5) - 2)*log(-(4*(3*x^5 + x^3 + sqrt(5)*(x^5 + x^3 + x) + 3*x)*sqrt(x^4 + 1) - (3*x^8 + 5*x^6 + 9*x^4 + 5*x^2 + sqrt(5)*(x^8 + 3*x^6 + 3*x^4 + 3*x^2 + 1) + 3)*sqrt(2*sqrt(5) - 2))/(x^8 - x^6 + x^4 - x^2 + 1))","B",0
1771,1,431,0,0.582832," ","integrate((x^10+1)/(x^4+1)^(1/2)/(x^10-1),x, algorithm=""fricas"")","-\frac{1}{5} \, \sqrt{2 \, \sqrt{5} - 2} \arctan\left(\frac{2 \, {\left(x^{5} + 2 \, x^{3} + \sqrt{5} {\left(x^{5} + x\right)} + x\right)} \sqrt{x^{4} + 1} \sqrt{2 \, \sqrt{5} - 2} - {\left(x^{8} - 5 \, x^{6} + 3 \, x^{4} - 5 \, x^{2} - \sqrt{5} {\left(x^{8} - x^{6} + 3 \, x^{4} - x^{2} + 1\right)} + 1\right)} \sqrt{2 \, \sqrt{5} - 2} \sqrt{\sqrt{5} + 2}}{4 \, {\left(x^{8} - x^{6} + x^{4} - x^{2} + 1\right)}}\right) + \frac{1}{20} \, \sqrt{2} \log\left(\frac{x^{4} - 2 \, \sqrt{2} \sqrt{x^{4} + 1} x + 2 \, x^{2} + 1}{x^{4} - 2 \, x^{2} + 1}\right) - \frac{1}{20} \, \sqrt{2 \, \sqrt{5} + 2} \log\left(-\frac{4 \, {\left(3 \, x^{5} - x^{3} - \sqrt{5} {\left(x^{5} - x^{3} + x\right)} + 3 \, x\right)} \sqrt{x^{4} + 1} + {\left(3 \, x^{8} - 5 \, x^{6} + 9 \, x^{4} - 5 \, x^{2} - \sqrt{5} {\left(x^{8} - 3 \, x^{6} + 3 \, x^{4} - 3 \, x^{2} + 1\right)} + 3\right)} \sqrt{2 \, \sqrt{5} + 2}}{x^{8} + x^{6} + x^{4} + x^{2} + 1}\right) + \frac{1}{20} \, \sqrt{2 \, \sqrt{5} + 2} \log\left(-\frac{4 \, {\left(3 \, x^{5} - x^{3} - \sqrt{5} {\left(x^{5} - x^{3} + x\right)} + 3 \, x\right)} \sqrt{x^{4} + 1} - {\left(3 \, x^{8} - 5 \, x^{6} + 9 \, x^{4} - 5 \, x^{2} - \sqrt{5} {\left(x^{8} - 3 \, x^{6} + 3 \, x^{4} - 3 \, x^{2} + 1\right)} + 3\right)} \sqrt{2 \, \sqrt{5} + 2}}{x^{8} + x^{6} + x^{4} + x^{2} + 1}\right)"," ",0,"-1/5*sqrt(2*sqrt(5) - 2)*arctan(1/4*(2*(x^5 + 2*x^3 + sqrt(5)*(x^5 + x) + x)*sqrt(x^4 + 1)*sqrt(2*sqrt(5) - 2) - (x^8 - 5*x^6 + 3*x^4 - 5*x^2 - sqrt(5)*(x^8 - x^6 + 3*x^4 - x^2 + 1) + 1)*sqrt(2*sqrt(5) - 2)*sqrt(sqrt(5) + 2))/(x^8 - x^6 + x^4 - x^2 + 1)) + 1/20*sqrt(2)*log((x^4 - 2*sqrt(2)*sqrt(x^4 + 1)*x + 2*x^2 + 1)/(x^4 - 2*x^2 + 1)) - 1/20*sqrt(2*sqrt(5) + 2)*log(-(4*(3*x^5 - x^3 - sqrt(5)*(x^5 - x^3 + x) + 3*x)*sqrt(x^4 + 1) + (3*x^8 - 5*x^6 + 9*x^4 - 5*x^2 - sqrt(5)*(x^8 - 3*x^6 + 3*x^4 - 3*x^2 + 1) + 3)*sqrt(2*sqrt(5) + 2))/(x^8 + x^6 + x^4 + x^2 + 1)) + 1/20*sqrt(2*sqrt(5) + 2)*log(-(4*(3*x^5 - x^3 - sqrt(5)*(x^5 - x^3 + x) + 3*x)*sqrt(x^4 + 1) - (3*x^8 - 5*x^6 + 9*x^4 - 5*x^2 - sqrt(5)*(x^8 - 3*x^6 + 3*x^4 - 3*x^2 + 1) + 3)*sqrt(2*sqrt(5) + 2))/(x^8 + x^6 + x^4 + x^2 + 1))","B",0
1772,1,302,0,0.619375," ","integrate((x^16+1)/(x^4+1)^(1/2)/(x^16-1),x, algorithm=""fricas"")","-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{4} + 1\right)} \arctan\left(\frac{2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)} + 2^{\frac{1}{4}} {\left(x^{8} + 4 \, x^{4} + 1\right)}\right)} + 4 \, \sqrt{x^{4} + 1} {\left(2^{\frac{3}{4}} x^{3} + 2^{\frac{1}{4}} {\left(x^{5} + x\right)}\right)}}{2 \, {\left(x^{8} + 1\right)}}\right) + 2^{\frac{3}{4}} {\left(x^{4} + 1\right)} \log\left(-\frac{2^{\frac{3}{4}} {\left(x^{8} + 4 \, x^{4} + 1\right)} + 4 \, {\left(x^{5} + \sqrt{2} x^{3} + x\right)} \sqrt{x^{4} + 1} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}}{x^{8} + 1}\right) - 2^{\frac{3}{4}} {\left(x^{4} + 1\right)} \log\left(\frac{2^{\frac{3}{4}} {\left(x^{8} + 4 \, x^{4} + 1\right)} - 4 \, {\left(x^{5} + \sqrt{2} x^{3} + x\right)} \sqrt{x^{4} + 1} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}}{x^{8} + 1}\right) + 2 \, \sqrt{2} {\left(x^{4} + 1\right)} \arctan\left(\frac{\sqrt{2} x}{\sqrt{x^{4} + 1}}\right) - \sqrt{2} {\left(x^{4} + 1\right)} \log\left(\frac{x^{4} - 2 \, \sqrt{2} \sqrt{x^{4} + 1} x + 2 \, x^{2} + 1}{x^{4} - 2 \, x^{2} + 1}\right) + 8 \, \sqrt{x^{4} + 1} x}{32 \, {\left(x^{4} + 1\right)}}"," ",0,"-1/32*(4*2^(3/4)*(x^4 + 1)*arctan(1/2*(2^(3/4)*(2*2^(3/4)*(x^6 + x^2) + 2^(1/4)*(x^8 + 4*x^4 + 1)) + 4*sqrt(x^4 + 1)*(2^(3/4)*x^3 + 2^(1/4)*(x^5 + x)))/(x^8 + 1)) + 2^(3/4)*(x^4 + 1)*log(-(2^(3/4)*(x^8 + 4*x^4 + 1) + 4*(x^5 + sqrt(2)*x^3 + x)*sqrt(x^4 + 1) + 4*2^(1/4)*(x^6 + x^2))/(x^8 + 1)) - 2^(3/4)*(x^4 + 1)*log((2^(3/4)*(x^8 + 4*x^4 + 1) - 4*(x^5 + sqrt(2)*x^3 + x)*sqrt(x^4 + 1) + 4*2^(1/4)*(x^6 + x^2))/(x^8 + 1)) + 2*sqrt(2)*(x^4 + 1)*arctan(sqrt(2)*x/sqrt(x^4 + 1)) - sqrt(2)*(x^4 + 1)*log((x^4 - 2*sqrt(2)*sqrt(x^4 + 1)*x + 2*x^2 + 1)/(x^4 - 2*x^2 + 1)) + 8*sqrt(x^4 + 1)*x)/(x^4 + 1)","B",0
1773,1,200,0,0.462128," ","integrate((a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)/(1-(a*x+b)^(1/2)),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(2 \, {\left(2 \, c^{2} - 3 \, a x - \sqrt{a x + b} {\left(c + 5\right)} - 3 \, b - 5 \, c - 15\right)} \sqrt{c + \sqrt{a x + b}} + 15 \, \sqrt{c + 1} \log\left(\frac{a x + 2 \, {\left(\sqrt{a x + b} \sqrt{c + 1} + \sqrt{c + 1}\right)} \sqrt{c + \sqrt{a x + b}} + 2 \, \sqrt{a x + b} {\left(c + 1\right)} + b + 2 \, c + 1}{a x + b - 1}\right)\right)}}{15 \, a}, \frac{4 \, {\left({\left(2 \, c^{2} - 3 \, a x - \sqrt{a x + b} {\left(c + 5\right)} - 3 \, b - 5 \, c - 15\right)} \sqrt{c + \sqrt{a x + b}} - 15 \, \sqrt{-c - 1} \arctan\left(\frac{\sqrt{c + \sqrt{a x + b}} \sqrt{-c - 1}}{c + 1}\right)\right)}}{15 \, a}\right]"," ",0,"[2/15*(2*(2*c^2 - 3*a*x - sqrt(a*x + b)*(c + 5) - 3*b - 5*c - 15)*sqrt(c + sqrt(a*x + b)) + 15*sqrt(c + 1)*log((a*x + 2*(sqrt(a*x + b)*sqrt(c + 1) + sqrt(c + 1))*sqrt(c + sqrt(a*x + b)) + 2*sqrt(a*x + b)*(c + 1) + b + 2*c + 1)/(a*x + b - 1)))/a, 4/15*((2*c^2 - 3*a*x - sqrt(a*x + b)*(c + 5) - 3*b - 5*c - 15)*sqrt(c + sqrt(a*x + b)) - 15*sqrt(-c - 1)*arctan(sqrt(c + sqrt(a*x + b))*sqrt(-c - 1)/(c + 1)))/a]","A",0
1774,1,100,0,1.026847," ","integrate(x*(x^2-1)^(1/2)*(x^2+x*(x^2-1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{1}{192} \, {\left(8 \, x^{3} - {\left(56 \, x^{2} - 39\right)} \sqrt{x^{2} - 1} - 13 \, x\right)} \sqrt{x^{2} + \sqrt{x^{2} - 1} x} + \frac{13}{256} \, \sqrt{2} \log\left(-4 \, x^{2} + 2 \, \sqrt{x^{2} + \sqrt{x^{2} - 1} x} {\left(\sqrt{2} x + \sqrt{2} \sqrt{x^{2} - 1}\right)} - 4 \, \sqrt{x^{2} - 1} x + 1\right)"," ",0,"-1/192*(8*x^3 - (56*x^2 - 39)*sqrt(x^2 - 1) - 13*x)*sqrt(x^2 + sqrt(x^2 - 1)*x) + 13/256*sqrt(2)*log(-4*x^2 + 2*sqrt(x^2 + sqrt(x^2 - 1)*x)*(sqrt(2)*x + sqrt(2)*sqrt(x^2 - 1)) - 4*sqrt(x^2 - 1)*x + 1)","A",0
1775,1,117,0,0.733826," ","integrate((p*x^2-q)*(p^2*x^4+q^2)^(1/2)*(b*x^3+a*(p*x^2+q)^3)/x^6,x, algorithm=""fricas"")","\frac{30 \, b p q x^{5} \log\left(\frac{p x^{2} + q - \sqrt{p^{2} x^{4} + q^{2}}}{x}\right) + {\left(6 \, a p^{4} x^{8} + 20 \, a p^{3} q x^{6} + 12 \, a p^{2} q^{2} x^{4} + 20 \, a p q^{3} x^{2} + 15 \, b p x^{5} + 6 \, a q^{4} + 15 \, b q x^{3}\right)} \sqrt{p^{2} x^{4} + q^{2}}}{30 \, x^{5}}"," ",0,"1/30*(30*b*p*q*x^5*log((p*x^2 + q - sqrt(p^2*x^4 + q^2))/x) + (6*a*p^4*x^8 + 20*a*p^3*q*x^6 + 12*a*p^2*q^2*x^4 + 20*a*p*q^3*x^2 + 15*b*p*x^5 + 6*a*q^4 + 15*b*q*x^3)*sqrt(p^2*x^4 + q^2))/x^5","A",0
1776,-1,0,0,0.000000," ","integrate((x^2-1)*(x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1777,1,130,0,0.604554," ","integrate(x*(1+x)^(1/2)/(x+(1+(1+x)^(1/2))^(1/2)),x, algorithm=""fricas"")","\frac{2}{3} \, {\left(x + 1\right)}^{\frac{3}{2}} - \frac{4}{3} \, {\left(\sqrt{x + 1} + 1\right)}^{\frac{3}{2}} + \frac{2}{5} \, \sqrt{5} \log\left(\frac{2 \, x^{2} - \sqrt{5} {\left(3 \, x + 1\right)} - {\left(\sqrt{5} {\left(x + 2\right)} - 5 \, x\right)} \sqrt{x + 1} + {\left(\sqrt{5} {\left(x + 2\right)} + {\left(\sqrt{5} {\left(2 \, x - 1\right)} - 5\right)} \sqrt{x + 1} - 5 \, x\right)} \sqrt{\sqrt{x + 1} + 1} + 3 \, x + 3}{x^{2} - x - 1}\right) + 2 \, \log\left(\sqrt{x + 1} + \sqrt{\sqrt{x + 1} + 1}\right)"," ",0,"2/3*(x + 1)^(3/2) - 4/3*(sqrt(x + 1) + 1)^(3/2) + 2/5*sqrt(5)*log((2*x^2 - sqrt(5)*(3*x + 1) - (sqrt(5)*(x + 2) - 5*x)*sqrt(x + 1) + (sqrt(5)*(x + 2) + (sqrt(5)*(2*x - 1) - 5)*sqrt(x + 1) - 5*x)*sqrt(sqrt(x + 1) + 1) + 3*x + 3)/(x^2 - x - 1)) + 2*log(sqrt(x + 1) + sqrt(sqrt(x + 1) + 1))","A",0
1778,-2,0,0,0.000000," ","integrate((x^3-x)^(1/3)*(x^4-10*x^2+8)/x^4/(x^4-2*x^2+4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1779,-2,0,0,0.000000," ","integrate((x^3-x)^(1/3)*(x^4-10*x^2+8)/x^4/(x^4-2*x^2+4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
1780,1,4828,0,6.449808," ","integrate((x^2-1)/(x^2+1)/(x^4+x^3-x^2-x+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{208} \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} - 3 \, \sqrt{2}\right)} \sqrt{3 \, \sqrt{13} + 13} \log\left(\frac{2539732 \, {\left(52 \, x^{4} + 52 \, x^{3} + 13^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(\sqrt{13} \sqrt{2} {\left(x^{2} + 2 \, x - 1\right)} + \sqrt{2} {\left(5 \, x^{2} - 2 \, x - 5\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 52 \, x^{2} + \sqrt{13} {\left(17 \, x^{4} + 20 \, x^{3} - 26 \, x^{2} - 20 \, x + 17\right)} - 52 \, x + 52\right)}}{x^{4} + 2 \, x^{2} + 1}\right) + \frac{1}{208} \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} - 3 \, \sqrt{2}\right)} \sqrt{3 \, \sqrt{13} + 13} \log\left(\frac{2539732 \, {\left(52 \, x^{4} + 52 \, x^{3} - 13^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(\sqrt{13} \sqrt{2} {\left(x^{2} + 2 \, x - 1\right)} + \sqrt{2} {\left(5 \, x^{2} - 2 \, x - 5\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 52 \, x^{2} + \sqrt{13} {\left(17 \, x^{4} + 20 \, x^{3} - 26 \, x^{2} - 20 \, x + 17\right)} - 52 \, x + 52\right)}}{x^{4} + 2 \, x^{2} + 1}\right) - \frac{1}{26} \cdot 13^{\frac{1}{4}} \sqrt{2} \sqrt{3 \, \sqrt{13} + 13} \arctan\left(-\frac{303466516831856398098 \, x^{24} + 4743900311019108485688 \, x^{23} + 28233351478670402508912 \, x^{22} - 72199824668983318237944 \, x^{21} - 549945030052979141285484 \, x^{20} + 203866718260552713998424 \, x^{19} + 3538287727177039762376880 \, x^{18} + 1160844709036705056427752 \, x^{17} - 10483458261909001046283762 \, x^{16} - 5884323216790673562757200 \, x^{15} + 18321648976655814996172512 \, x^{14} + 10935511024932688162387536 \, x^{13} - 21815129887942114408252776 \, x^{12} - 10935511024932688162387536 \, x^{11} + 18321648976655814996172512 \, x^{10} + 5884323216790673562757200 \, x^{9} - 10483458261909001046283762 \, x^{8} - 1160844709036705056427752 \, x^{7} + 3538287727177039762376880 \, x^{6} - 203866718260552713998424 \, x^{5} - 549945030052979141285484 \, x^{4} + 72199824668983318237944 \, x^{3} + 28233351478670402508912 \, x^{2} + 22542 \, \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(13^{\frac{3}{4}} {\left(\sqrt{13} \sqrt{2} {\left(438032817640345 \, x^{22} + 4766023804643608 \, x^{21} - 22651687495355451 \, x^{20} - 73226949981951792 \, x^{19} + 201895053539000295 \, x^{18} + 581246457201440152 \, x^{17} - 688323719968941789 \, x^{16} - 2375828481503141120 \, x^{15} + 835564914755102394 \, x^{14} + 4875744719966576976 \, x^{13} - 518955383785839278 \, x^{12} - 6081767361973499808 \, x^{11} + 518955383785839278 \, x^{10} + 4875744719966576976 \, x^{9} - 835564914755102394 \, x^{8} - 2375828481503141120 \, x^{7} + 688323719968941789 \, x^{6} + 581246457201440152 \, x^{5} - 201895053539000295 \, x^{4} - 73226949981951792 \, x^{3} + 22651687495355451 \, x^{2} + 4766023804643608 \, x - 438032817640345\right)} - 13 \, \sqrt{2} {\left(70613291210443 \, x^{22} + 1163654076309028 \, x^{21} - 1583310499286865 \, x^{20} - 22882269559286984 \, x^{19} + 6676964780514997 \, x^{18} + 174966322381689396 \, x^{17} + 44249933486799049 \, x^{16} - 651769703746318880 \, x^{15} - 361386944352761330 \, x^{14} + 1257983237200889768 \, x^{13} + 764225260716326422 \, x^{12} - 1534892168387514928 \, x^{11} - 764225260716326422 \, x^{10} + 1257983237200889768 \, x^{9} + 361386944352761330 \, x^{8} - 651769703746318880 \, x^{7} - 44249933486799049 \, x^{6} + 174966322381689396 \, x^{5} - 6676964780514997 \, x^{4} - 22882269559286984 \, x^{3} + 1583310499286865 \, x^{2} + 1163654076309028 \, x - 70613291210443\right)}\right)} + 208 \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} {\left(4692636395300 \, x^{22} + 21025698352120 \, x^{21} - 509873403724003 \, x^{20} + 1198066536193627 \, x^{19} + 3315357795152678 \, x^{18} - 10114246161224222 \, x^{17} - 11088440456053169 \, x^{16} + 37159592182761664 \, x^{15} + 22839711859751903 \, x^{14} - 80081392708755290 \, x^{13} - 34837626972977603 \, x^{12} + 102461865113616074 \, x^{11} + 34837626972977603 \, x^{10} - 80081392708755290 \, x^{9} - 22839711859751903 \, x^{8} + 37159592182761664 \, x^{7} + 11088440456053169 \, x^{6} - 10114246161224222 \, x^{5} - 3315357795152678 \, x^{4} + 1198066536193627 \, x^{3} + 509873403724003 \, x^{2} + 21025698352120 \, x - 4692636395300\right)} - \sqrt{2} {\left(5887397593700 \, x^{22} + 48235726154280 \, x^{21} - 789276041251667 \, x^{20} + 3219073445078935 \, x^{19} + 987154599751170 \, x^{18} - 30671562330634130 \, x^{17} + 14799842775240331 \, x^{16} + 133701026987497176 \, x^{15} - 52507544684949429 \, x^{14} - 312813206043385494 \, x^{13} + 76214230101024249 \, x^{12} + 408248773019680034 \, x^{11} - 76214230101024249 \, x^{10} - 312813206043385494 \, x^{9} + 52507544684949429 \, x^{8} + 133701026987497176 \, x^{7} - 14799842775240331 \, x^{6} - 30671562330634130 \, x^{5} - 987154599751170 \, x^{4} + 3219073445078935 \, x^{3} + 789276041251667 \, x^{2} + 48235726154280 \, x - 5887397593700\right)}\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 17 \, \sqrt{13} {\left(8 \, {\left(1176400871054864000 \, x^{22} + 7687548786224798400 \, x^{21} - 69832722125408817120 \, x^{20} - 23339220413812524208 \, x^{19} + 562761972310677711728 \, x^{18} + 215247024424501074096 \, x^{17} - 2257653963476425070128 \, x^{16} - 1386968938773226680352 \, x^{15} + 4790605753830493069200 \, x^{14} + 3519045680546393583248 \, x^{13} - 6554503840828816558192 \, x^{12} - 4586127059160220899936 \, x^{11} + 6554503840828816558192 \, x^{10} + 3519045680546393583248 \, x^{9} - 4790605753830493069200 \, x^{8} - 1386968938773226680352 \, x^{7} + 2257653963476425070128 \, x^{6} + 215247024424501074096 \, x^{5} - 562761972310677711728 \, x^{4} - 23339220413812524208 \, x^{3} + 69832722125408817120 \, x^{2} + \sqrt{13} {\left(347413063094905990 \, x^{22} + 2574804143274222093 \, x^{21} - 18530451609856137822 \, x^{20} - 22081688459241438170 \, x^{19} + 171845528497503708406 \, x^{18} + 132215393354867446377 \, x^{17} - 750514342534298363294 \, x^{16} - 551029809556392223928 \, x^{15} + 1817527644069021398748 \, x^{14} + 1300271146740319620490 \, x^{13} - 2716824871550408597420 \, x^{12} - 1710848117433555567324 \, x^{11} + 2716824871550408597420 \, x^{10} + 1300271146740319620490 \, x^{9} - 1817527644069021398748 \, x^{8} - 551029809556392223928 \, x^{7} + 750514342534298363294 \, x^{6} + 132215393354867446377 \, x^{5} - 171845528497503708406 \, x^{4} - 22081688459241438170 \, x^{3} + 18530451609856137822 \, x^{2} + \sqrt{13} {\left(86119890640762790 \, x^{22} + 612895390416267933 \, x^{21} - 4335535920387511086 \, x^{20} - 5302468667138334250 \, x^{19} + 38587660384357338854 \, x^{18} + 30930979498708755225 \, x^{17} - 158845749790110352222 \, x^{16} - 119769067733058532408 \, x^{15} + 361880375640229546236 \, x^{14} + 254022661898659193930 \, x^{13} - 531382608639111111148 \, x^{12} - 324162614012386926396 \, x^{11} + 531382608639111111148 \, x^{10} + 254022661898659193930 \, x^{9} - 361880375640229546236 \, x^{8} - 119769067733058532408 \, x^{7} + 158845749790110352222 \, x^{6} + 30930979498708755225 \, x^{5} - 38587660384357338854 \, x^{4} - 5302468667138334250 \, x^{3} + 4335535920387511086 \, x^{2} + 612895390416267933 \, x - 86119890640762790\right)} + 2574804143274222093 \, x - 347413063094905990\right)} + 781456 \, \sqrt{13} {\left(392642047000 \, x^{22} + 2668947743700 \, x^{21} - 21551606454210 \, x^{20} - 25391634979349 \, x^{19} + 216431774913673 \, x^{18} + 165124287185685 \, x^{17} - 975636855722909 \, x^{16} - 730292496271070 \, x^{15} + 2323352136214791 \, x^{14} + 1661364413033911 \, x^{13} - 3469542924856697 \, x^{12} - 2159192030142810 \, x^{11} + 3469542924856697 \, x^{10} + 1661364413033911 \, x^{9} - 2323352136214791 \, x^{8} - 730292496271070 \, x^{7} + 975636855722909 \, x^{6} + 165124287185685 \, x^{5} - 216431774913673 \, x^{4} - 25391634979349 \, x^{3} + 21551606454210 \, x^{2} + 2668947743700 \, x - 392642047000\right)} + 7687548786224798400 \, x - 1176400871054864000\right)} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} + {\left(13^{\frac{3}{4}} {\left(\sqrt{13} \sqrt{2} {\left(42561667757632535 \, x^{24} + 257611512435675958 \, x^{23} - 2247750745977714788 \, x^{22} - 1814256247738761970 \, x^{21} + 24442437067776376590 \, x^{20} + 7434104308599750458 \, x^{19} - 133732529802419891028 \, x^{18} - 40377788940700833486 \, x^{17} + 424853244996735057401 \, x^{16} + 169970966197279445148 \, x^{15} - 792994393765633385544 \, x^{14} - 324292611472025875252 \, x^{13} + 965410860226389212612 \, x^{12} + 324292611472025875252 \, x^{11} - 792994393765633385544 \, x^{10} - 169970966197279445148 \, x^{9} + 424853244996735057401 \, x^{8} + 40377788940700833486 \, x^{7} - 133732529802419891028 \, x^{6} - 7434104308599750458 \, x^{5} + 24442437067776376590 \, x^{4} + 1814256247738761970 \, x^{3} - 2247750745977714788 \, x^{2} - 257611512435675958 \, x + 42561667757632535\right)} + \sqrt{2} {\left(255964917914376199 \, x^{24} + 2378265999782735342 \, x^{23} - 10723699406875401436 \, x^{22} - 34884403219165654778 \, x^{21} + 93953387409611786046 \, x^{20} + 253421004867879632674 \, x^{19} - 344419433727703157868 \, x^{18} - 1002660055585799007654 \, x^{17} + 598091993726342289097 \, x^{16} + 2206109898157584293772 \, x^{15} - 695096131692662787768 \, x^{14} - 3171896094005833352900 \, x^{13} + 694108138803077006308 \, x^{12} + 3171896094005833352900 \, x^{11} - 695096131692662787768 \, x^{10} - 2206109898157584293772 \, x^{9} + 598091993726342289097 \, x^{8} + 1002660055585799007654 \, x^{7} - 344419433727703157868 \, x^{6} - 253421004867879632674 \, x^{5} + 93953387409611786046 \, x^{4} + 34884403219165654778 \, x^{3} - 10723699406875401436 \, x^{2} - 2378265999782735342 \, x + 255964917914376199\right)}\right)} + 16 \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} {\left(10624231800639100 \, x^{24} + 80728789199165240 \, x^{23} - 453437665552960801 \, x^{22} - 1361343207830720927 \, x^{21} + 4509496134229422087 \, x^{20} + 11529111171725879005 \, x^{19} - 19238646913942275477 \, x^{18} - 53837830579514157270 \, x^{17} + 39389350688620333912 \, x^{16} + 138078999987416412018 \, x^{15} - 45152999655828310218 \, x^{14} - 212071343879066457860 \, x^{13} + 43690224455383154506 \, x^{12} + 212071343879066457860 \, x^{11} - 45152999655828310218 \, x^{10} - 138078999987416412018 \, x^{9} + 39389350688620333912 \, x^{8} + 53837830579514157270 \, x^{7} - 19238646913942275477 \, x^{6} - 11529111171725879005 \, x^{5} + 4509496134229422087 \, x^{4} + 1361343207830720927 \, x^{3} - 453437665552960801 \, x^{2} - 80728789199165240 \, x + 10624231800639100\right)} + 13 \, \sqrt{2} {\left(3882779405827700 \, x^{24} + 28606444435892680 \, x^{23} - 227641579389617987 \, x^{22} - 198956183337105013 \, x^{21} + 2168414620505808021 \, x^{20} + 1093374150915552911 \, x^{19} - 10049115354907453191 \, x^{18} - 4545138448499822946 \, x^{17} + 26948863273874260376 \, x^{16} + 10958614328214418326 \, x^{15} - 47994628464112587318 \, x^{14} - 17184519112020979516 \, x^{13} + 57842201375545723838 \, x^{12} + 17184519112020979516 \, x^{11} - 47994628464112587318 \, x^{10} - 10958614328214418326 \, x^{9} + 26948863273874260376 \, x^{8} + 4545138448499822946 \, x^{7} - 10049115354907453191 \, x^{6} - 1093374150915552911 \, x^{5} + 2168414620505808021 \, x^{4} + 198956183337105013 \, x^{3} - 227641579389617987 \, x^{2} - 28606444435892680 \, x + 3882779405827700\right)}\right)}\right)} \sqrt{3 \, \sqrt{13} + 13}\right)} \sqrt{\frac{52 \, x^{4} + 52 \, x^{3} - 13^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(\sqrt{13} \sqrt{2} {\left(x^{2} + 2 \, x - 1\right)} + \sqrt{2} {\left(5 \, x^{2} - 2 \, x - 5\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 52 \, x^{2} + \sqrt{13} {\left(17 \, x^{4} + 20 \, x^{3} - 26 \, x^{2} - 20 \, x + 17\right)} - 52 \, x + 52}{x^{4} + 2 \, x^{2} + 1}} + 293046 \, \sqrt{13} {\left(864908224669831 \, x^{24} + 10355522400887124 \, x^{23} - 17384091301118312 \, x^{22} - 126742456591014836 \, x^{21} + 22231314006511958 \, x^{20} + 520289532650388676 \, x^{19} + 298321626941299512 \, x^{18} - 528293883094391716 \, x^{17} - 389743086866628119 \, x^{16} - 210204858921706104 \, x^{15} - 266798576314259920 \, x^{14} + 975476535814976248 \, x^{13} + 761571647922735220 \, x^{12} - 975476535814976248 \, x^{11} - 266798576314259920 \, x^{10} + 210204858921706104 \, x^{9} - 389743086866628119 \, x^{8} + 528293883094391716 \, x^{7} + 298321626941299512 \, x^{6} - 520289532650388676 \, x^{5} + 22231314006511958 \, x^{4} + 126742456591014836 \, x^{3} - 17384091301118312 \, x^{2} - 10355522400887124 \, x + 864908224669831\right)} + 2344368 \, \sqrt{13} {\left(6297682684370 \, x^{24} - 199950327117651 \, x^{23} - 995766583461953 \, x^{22} + 3494940283605122 \, x^{21} + 11259696068148532 \, x^{20} - 11251123247802050 \, x^{19} - 43365133169916061 \, x^{18} - 7137738820792145 \, x^{17} + 29711549278992846 \, x^{16} + 14458141654548170 \, x^{15} + 42344219995051230 \, x^{14} + 6649866616815492 \, x^{13} - 85988445576305064 \, x^{12} - 6649866616815492 \, x^{11} + 42344219995051230 \, x^{10} - 14458141654548170 \, x^{9} + 29711549278992846 \, x^{8} + 7137738820792145 \, x^{7} - 43365133169916061 \, x^{6} + 11251123247802050 \, x^{5} + 11259696068148532 \, x^{4} - 3494940283605122 \, x^{3} - 995766583461953 \, x^{2} + \sqrt{13} {\left(20927774353570 \, x^{24} + 130384064414589 \, x^{23} - 1832539639466373 \, x^{22} - 378588130924562 \, x^{21} + 21380590264585528 \, x^{20} + 4744891377887298 \, x^{19} - 116038978593664721 \, x^{18} - 50745796110773153 \, x^{17} + 338872085186622574 \, x^{16} + 188797691491908298 \, x^{15} - 600518166018256810 \, x^{14} - 335968273816529348 \, x^{13} + 718884696204352368 \, x^{12} + 335968273816529348 \, x^{11} - 600518166018256810 \, x^{10} - 188797691491908298 \, x^{9} + 338872085186622574 \, x^{8} + 50745796110773153 \, x^{7} - 116038978593664721 \, x^{6} - 4744891377887298 \, x^{5} + 21380590264585528 \, x^{4} + 378588130924562 \, x^{3} - 1832539639466373 \, x^{2} - 130384064414589 \, x + 20927774353570\right)} + 199950327117651 \, x + 6297682684370\right)} - 4743900311019108485688 \, x + 303466516831856398098}{156 \, {\left(2619839878947519387 \, x^{24} + 56875992053837531104 \, x^{23} + 131959371237747999396 \, x^{22} - 2182804951517679993984 \, x^{21} - 834435940279923178058 \, x^{20} + 19080490944149866629376 \, x^{19} + 7572391123444752820884 \, x^{18} - 80627449581147817109984 \, x^{17} - 42572148062363848355915 \, x^{16} + 186546831575976527374656 \, x^{15} + 105848256468770974999240 \, x^{14} - 273413685733714921314176 \, x^{13} - 139929639991653442404876 \, x^{12} + 273413685733714921314176 \, x^{11} + 105848256468770974999240 \, x^{10} - 186546831575976527374656 \, x^{9} - 42572148062363848355915 \, x^{8} + 80627449581147817109984 \, x^{7} + 7572391123444752820884 \, x^{6} - 19080490944149866629376 \, x^{5} - 834435940279923178058 \, x^{4} + 2182804951517679993984 \, x^{3} + 131959371237747999396 \, x^{2} - 56875992053837531104 \, x + 2619839878947519387\right)}}\right) - \frac{1}{26} \cdot 13^{\frac{1}{4}} \sqrt{2} \sqrt{3 \, \sqrt{13} + 13} \arctan\left(\frac{303466516831856398098 \, x^{24} + 4743900311019108485688 \, x^{23} + 28233351478670402508912 \, x^{22} - 72199824668983318237944 \, x^{21} - 549945030052979141285484 \, x^{20} + 203866718260552713998424 \, x^{19} + 3538287727177039762376880 \, x^{18} + 1160844709036705056427752 \, x^{17} - 10483458261909001046283762 \, x^{16} - 5884323216790673562757200 \, x^{15} + 18321648976655814996172512 \, x^{14} + 10935511024932688162387536 \, x^{13} - 21815129887942114408252776 \, x^{12} - 10935511024932688162387536 \, x^{11} + 18321648976655814996172512 \, x^{10} + 5884323216790673562757200 \, x^{9} - 10483458261909001046283762 \, x^{8} - 1160844709036705056427752 \, x^{7} + 3538287727177039762376880 \, x^{6} - 203866718260552713998424 \, x^{5} - 549945030052979141285484 \, x^{4} + 72199824668983318237944 \, x^{3} + 28233351478670402508912 \, x^{2} - 22542 \, \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(13^{\frac{3}{4}} {\left(\sqrt{13} \sqrt{2} {\left(438032817640345 \, x^{22} + 4766023804643608 \, x^{21} - 22651687495355451 \, x^{20} - 73226949981951792 \, x^{19} + 201895053539000295 \, x^{18} + 581246457201440152 \, x^{17} - 688323719968941789 \, x^{16} - 2375828481503141120 \, x^{15} + 835564914755102394 \, x^{14} + 4875744719966576976 \, x^{13} - 518955383785839278 \, x^{12} - 6081767361973499808 \, x^{11} + 518955383785839278 \, x^{10} + 4875744719966576976 \, x^{9} - 835564914755102394 \, x^{8} - 2375828481503141120 \, x^{7} + 688323719968941789 \, x^{6} + 581246457201440152 \, x^{5} - 201895053539000295 \, x^{4} - 73226949981951792 \, x^{3} + 22651687495355451 \, x^{2} + 4766023804643608 \, x - 438032817640345\right)} - 13 \, \sqrt{2} {\left(70613291210443 \, x^{22} + 1163654076309028 \, x^{21} - 1583310499286865 \, x^{20} - 22882269559286984 \, x^{19} + 6676964780514997 \, x^{18} + 174966322381689396 \, x^{17} + 44249933486799049 \, x^{16} - 651769703746318880 \, x^{15} - 361386944352761330 \, x^{14} + 1257983237200889768 \, x^{13} + 764225260716326422 \, x^{12} - 1534892168387514928 \, x^{11} - 764225260716326422 \, x^{10} + 1257983237200889768 \, x^{9} + 361386944352761330 \, x^{8} - 651769703746318880 \, x^{7} - 44249933486799049 \, x^{6} + 174966322381689396 \, x^{5} - 6676964780514997 \, x^{4} - 22882269559286984 \, x^{3} + 1583310499286865 \, x^{2} + 1163654076309028 \, x - 70613291210443\right)}\right)} + 208 \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} {\left(4692636395300 \, x^{22} + 21025698352120 \, x^{21} - 509873403724003 \, x^{20} + 1198066536193627 \, x^{19} + 3315357795152678 \, x^{18} - 10114246161224222 \, x^{17} - 11088440456053169 \, x^{16} + 37159592182761664 \, x^{15} + 22839711859751903 \, x^{14} - 80081392708755290 \, x^{13} - 34837626972977603 \, x^{12} + 102461865113616074 \, x^{11} + 34837626972977603 \, x^{10} - 80081392708755290 \, x^{9} - 22839711859751903 \, x^{8} + 37159592182761664 \, x^{7} + 11088440456053169 \, x^{6} - 10114246161224222 \, x^{5} - 3315357795152678 \, x^{4} + 1198066536193627 \, x^{3} + 509873403724003 \, x^{2} + 21025698352120 \, x - 4692636395300\right)} - \sqrt{2} {\left(5887397593700 \, x^{22} + 48235726154280 \, x^{21} - 789276041251667 \, x^{20} + 3219073445078935 \, x^{19} + 987154599751170 \, x^{18} - 30671562330634130 \, x^{17} + 14799842775240331 \, x^{16} + 133701026987497176 \, x^{15} - 52507544684949429 \, x^{14} - 312813206043385494 \, x^{13} + 76214230101024249 \, x^{12} + 408248773019680034 \, x^{11} - 76214230101024249 \, x^{10} - 312813206043385494 \, x^{9} + 52507544684949429 \, x^{8} + 133701026987497176 \, x^{7} - 14799842775240331 \, x^{6} - 30671562330634130 \, x^{5} - 987154599751170 \, x^{4} + 3219073445078935 \, x^{3} + 789276041251667 \, x^{2} + 48235726154280 \, x - 5887397593700\right)}\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 17 \, \sqrt{13} {\left(8 \, {\left(1176400871054864000 \, x^{22} + 7687548786224798400 \, x^{21} - 69832722125408817120 \, x^{20} - 23339220413812524208 \, x^{19} + 562761972310677711728 \, x^{18} + 215247024424501074096 \, x^{17} - 2257653963476425070128 \, x^{16} - 1386968938773226680352 \, x^{15} + 4790605753830493069200 \, x^{14} + 3519045680546393583248 \, x^{13} - 6554503840828816558192 \, x^{12} - 4586127059160220899936 \, x^{11} + 6554503840828816558192 \, x^{10} + 3519045680546393583248 \, x^{9} - 4790605753830493069200 \, x^{8} - 1386968938773226680352 \, x^{7} + 2257653963476425070128 \, x^{6} + 215247024424501074096 \, x^{5} - 562761972310677711728 \, x^{4} - 23339220413812524208 \, x^{3} + 69832722125408817120 \, x^{2} + \sqrt{13} {\left(347413063094905990 \, x^{22} + 2574804143274222093 \, x^{21} - 18530451609856137822 \, x^{20} - 22081688459241438170 \, x^{19} + 171845528497503708406 \, x^{18} + 132215393354867446377 \, x^{17} - 750514342534298363294 \, x^{16} - 551029809556392223928 \, x^{15} + 1817527644069021398748 \, x^{14} + 1300271146740319620490 \, x^{13} - 2716824871550408597420 \, x^{12} - 1710848117433555567324 \, x^{11} + 2716824871550408597420 \, x^{10} + 1300271146740319620490 \, x^{9} - 1817527644069021398748 \, x^{8} - 551029809556392223928 \, x^{7} + 750514342534298363294 \, x^{6} + 132215393354867446377 \, x^{5} - 171845528497503708406 \, x^{4} - 22081688459241438170 \, x^{3} + 18530451609856137822 \, x^{2} + \sqrt{13} {\left(86119890640762790 \, x^{22} + 612895390416267933 \, x^{21} - 4335535920387511086 \, x^{20} - 5302468667138334250 \, x^{19} + 38587660384357338854 \, x^{18} + 30930979498708755225 \, x^{17} - 158845749790110352222 \, x^{16} - 119769067733058532408 \, x^{15} + 361880375640229546236 \, x^{14} + 254022661898659193930 \, x^{13} - 531382608639111111148 \, x^{12} - 324162614012386926396 \, x^{11} + 531382608639111111148 \, x^{10} + 254022661898659193930 \, x^{9} - 361880375640229546236 \, x^{8} - 119769067733058532408 \, x^{7} + 158845749790110352222 \, x^{6} + 30930979498708755225 \, x^{5} - 38587660384357338854 \, x^{4} - 5302468667138334250 \, x^{3} + 4335535920387511086 \, x^{2} + 612895390416267933 \, x - 86119890640762790\right)} + 2574804143274222093 \, x - 347413063094905990\right)} + 781456 \, \sqrt{13} {\left(392642047000 \, x^{22} + 2668947743700 \, x^{21} - 21551606454210 \, x^{20} - 25391634979349 \, x^{19} + 216431774913673 \, x^{18} + 165124287185685 \, x^{17} - 975636855722909 \, x^{16} - 730292496271070 \, x^{15} + 2323352136214791 \, x^{14} + 1661364413033911 \, x^{13} - 3469542924856697 \, x^{12} - 2159192030142810 \, x^{11} + 3469542924856697 \, x^{10} + 1661364413033911 \, x^{9} - 2323352136214791 \, x^{8} - 730292496271070 \, x^{7} + 975636855722909 \, x^{6} + 165124287185685 \, x^{5} - 216431774913673 \, x^{4} - 25391634979349 \, x^{3} + 21551606454210 \, x^{2} + 2668947743700 \, x - 392642047000\right)} + 7687548786224798400 \, x - 1176400871054864000\right)} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} - {\left(13^{\frac{3}{4}} {\left(\sqrt{13} \sqrt{2} {\left(42561667757632535 \, x^{24} + 257611512435675958 \, x^{23} - 2247750745977714788 \, x^{22} - 1814256247738761970 \, x^{21} + 24442437067776376590 \, x^{20} + 7434104308599750458 \, x^{19} - 133732529802419891028 \, x^{18} - 40377788940700833486 \, x^{17} + 424853244996735057401 \, x^{16} + 169970966197279445148 \, x^{15} - 792994393765633385544 \, x^{14} - 324292611472025875252 \, x^{13} + 965410860226389212612 \, x^{12} + 324292611472025875252 \, x^{11} - 792994393765633385544 \, x^{10} - 169970966197279445148 \, x^{9} + 424853244996735057401 \, x^{8} + 40377788940700833486 \, x^{7} - 133732529802419891028 \, x^{6} - 7434104308599750458 \, x^{5} + 24442437067776376590 \, x^{4} + 1814256247738761970 \, x^{3} - 2247750745977714788 \, x^{2} - 257611512435675958 \, x + 42561667757632535\right)} + \sqrt{2} {\left(255964917914376199 \, x^{24} + 2378265999782735342 \, x^{23} - 10723699406875401436 \, x^{22} - 34884403219165654778 \, x^{21} + 93953387409611786046 \, x^{20} + 253421004867879632674 \, x^{19} - 344419433727703157868 \, x^{18} - 1002660055585799007654 \, x^{17} + 598091993726342289097 \, x^{16} + 2206109898157584293772 \, x^{15} - 695096131692662787768 \, x^{14} - 3171896094005833352900 \, x^{13} + 694108138803077006308 \, x^{12} + 3171896094005833352900 \, x^{11} - 695096131692662787768 \, x^{10} - 2206109898157584293772 \, x^{9} + 598091993726342289097 \, x^{8} + 1002660055585799007654 \, x^{7} - 344419433727703157868 \, x^{6} - 253421004867879632674 \, x^{5} + 93953387409611786046 \, x^{4} + 34884403219165654778 \, x^{3} - 10723699406875401436 \, x^{2} - 2378265999782735342 \, x + 255964917914376199\right)}\right)} + 16 \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} {\left(10624231800639100 \, x^{24} + 80728789199165240 \, x^{23} - 453437665552960801 \, x^{22} - 1361343207830720927 \, x^{21} + 4509496134229422087 \, x^{20} + 11529111171725879005 \, x^{19} - 19238646913942275477 \, x^{18} - 53837830579514157270 \, x^{17} + 39389350688620333912 \, x^{16} + 138078999987416412018 \, x^{15} - 45152999655828310218 \, x^{14} - 212071343879066457860 \, x^{13} + 43690224455383154506 \, x^{12} + 212071343879066457860 \, x^{11} - 45152999655828310218 \, x^{10} - 138078999987416412018 \, x^{9} + 39389350688620333912 \, x^{8} + 53837830579514157270 \, x^{7} - 19238646913942275477 \, x^{6} - 11529111171725879005 \, x^{5} + 4509496134229422087 \, x^{4} + 1361343207830720927 \, x^{3} - 453437665552960801 \, x^{2} - 80728789199165240 \, x + 10624231800639100\right)} + 13 \, \sqrt{2} {\left(3882779405827700 \, x^{24} + 28606444435892680 \, x^{23} - 227641579389617987 \, x^{22} - 198956183337105013 \, x^{21} + 2168414620505808021 \, x^{20} + 1093374150915552911 \, x^{19} - 10049115354907453191 \, x^{18} - 4545138448499822946 \, x^{17} + 26948863273874260376 \, x^{16} + 10958614328214418326 \, x^{15} - 47994628464112587318 \, x^{14} - 17184519112020979516 \, x^{13} + 57842201375545723838 \, x^{12} + 17184519112020979516 \, x^{11} - 47994628464112587318 \, x^{10} - 10958614328214418326 \, x^{9} + 26948863273874260376 \, x^{8} + 4545138448499822946 \, x^{7} - 10049115354907453191 \, x^{6} - 1093374150915552911 \, x^{5} + 2168414620505808021 \, x^{4} + 198956183337105013 \, x^{3} - 227641579389617987 \, x^{2} - 28606444435892680 \, x + 3882779405827700\right)}\right)}\right)} \sqrt{3 \, \sqrt{13} + 13}\right)} \sqrt{\frac{52 \, x^{4} + 52 \, x^{3} + 13^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(\sqrt{13} \sqrt{2} {\left(x^{2} + 2 \, x - 1\right)} + \sqrt{2} {\left(5 \, x^{2} - 2 \, x - 5\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 52 \, x^{2} + \sqrt{13} {\left(17 \, x^{4} + 20 \, x^{3} - 26 \, x^{2} - 20 \, x + 17\right)} - 52 \, x + 52}{x^{4} + 2 \, x^{2} + 1}} + 293046 \, \sqrt{13} {\left(864908224669831 \, x^{24} + 10355522400887124 \, x^{23} - 17384091301118312 \, x^{22} - 126742456591014836 \, x^{21} + 22231314006511958 \, x^{20} + 520289532650388676 \, x^{19} + 298321626941299512 \, x^{18} - 528293883094391716 \, x^{17} - 389743086866628119 \, x^{16} - 210204858921706104 \, x^{15} - 266798576314259920 \, x^{14} + 975476535814976248 \, x^{13} + 761571647922735220 \, x^{12} - 975476535814976248 \, x^{11} - 266798576314259920 \, x^{10} + 210204858921706104 \, x^{9} - 389743086866628119 \, x^{8} + 528293883094391716 \, x^{7} + 298321626941299512 \, x^{6} - 520289532650388676 \, x^{5} + 22231314006511958 \, x^{4} + 126742456591014836 \, x^{3} - 17384091301118312 \, x^{2} - 10355522400887124 \, x + 864908224669831\right)} + 2344368 \, \sqrt{13} {\left(6297682684370 \, x^{24} - 199950327117651 \, x^{23} - 995766583461953 \, x^{22} + 3494940283605122 \, x^{21} + 11259696068148532 \, x^{20} - 11251123247802050 \, x^{19} - 43365133169916061 \, x^{18} - 7137738820792145 \, x^{17} + 29711549278992846 \, x^{16} + 14458141654548170 \, x^{15} + 42344219995051230 \, x^{14} + 6649866616815492 \, x^{13} - 85988445576305064 \, x^{12} - 6649866616815492 \, x^{11} + 42344219995051230 \, x^{10} - 14458141654548170 \, x^{9} + 29711549278992846 \, x^{8} + 7137738820792145 \, x^{7} - 43365133169916061 \, x^{6} + 11251123247802050 \, x^{5} + 11259696068148532 \, x^{4} - 3494940283605122 \, x^{3} - 995766583461953 \, x^{2} + \sqrt{13} {\left(20927774353570 \, x^{24} + 130384064414589 \, x^{23} - 1832539639466373 \, x^{22} - 378588130924562 \, x^{21} + 21380590264585528 \, x^{20} + 4744891377887298 \, x^{19} - 116038978593664721 \, x^{18} - 50745796110773153 \, x^{17} + 338872085186622574 \, x^{16} + 188797691491908298 \, x^{15} - 600518166018256810 \, x^{14} - 335968273816529348 \, x^{13} + 718884696204352368 \, x^{12} + 335968273816529348 \, x^{11} - 600518166018256810 \, x^{10} - 188797691491908298 \, x^{9} + 338872085186622574 \, x^{8} + 50745796110773153 \, x^{7} - 116038978593664721 \, x^{6} - 4744891377887298 \, x^{5} + 21380590264585528 \, x^{4} + 378588130924562 \, x^{3} - 1832539639466373 \, x^{2} - 130384064414589 \, x + 20927774353570\right)} + 199950327117651 \, x + 6297682684370\right)} - 4743900311019108485688 \, x + 303466516831856398098}{156 \, {\left(2619839878947519387 \, x^{24} + 56875992053837531104 \, x^{23} + 131959371237747999396 \, x^{22} - 2182804951517679993984 \, x^{21} - 834435940279923178058 \, x^{20} + 19080490944149866629376 \, x^{19} + 7572391123444752820884 \, x^{18} - 80627449581147817109984 \, x^{17} - 42572148062363848355915 \, x^{16} + 186546831575976527374656 \, x^{15} + 105848256468770974999240 \, x^{14} - 273413685733714921314176 \, x^{13} - 139929639991653442404876 \, x^{12} + 273413685733714921314176 \, x^{11} + 105848256468770974999240 \, x^{10} - 186546831575976527374656 \, x^{9} - 42572148062363848355915 \, x^{8} + 80627449581147817109984 \, x^{7} + 7572391123444752820884 \, x^{6} - 19080490944149866629376 \, x^{5} - 834435940279923178058 \, x^{4} + 2182804951517679993984 \, x^{3} + 131959371237747999396 \, x^{2} - 56875992053837531104 \, x + 2619839878947519387\right)}}\right)"," ",0,"-1/208*13^(1/4)*(sqrt(13)*sqrt(2) - 3*sqrt(2))*sqrt(3*sqrt(13) + 13)*log(2539732*(52*x^4 + 52*x^3 + 13^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(sqrt(13)*sqrt(2)*(x^2 + 2*x - 1) + sqrt(2)*(5*x^2 - 2*x - 5))*sqrt(3*sqrt(13) + 13) - 52*x^2 + sqrt(13)*(17*x^4 + 20*x^3 - 26*x^2 - 20*x + 17) - 52*x + 52)/(x^4 + 2*x^2 + 1)) + 1/208*13^(1/4)*(sqrt(13)*sqrt(2) - 3*sqrt(2))*sqrt(3*sqrt(13) + 13)*log(2539732*(52*x^4 + 52*x^3 - 13^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(sqrt(13)*sqrt(2)*(x^2 + 2*x - 1) + sqrt(2)*(5*x^2 - 2*x - 5))*sqrt(3*sqrt(13) + 13) - 52*x^2 + sqrt(13)*(17*x^4 + 20*x^3 - 26*x^2 - 20*x + 17) - 52*x + 52)/(x^4 + 2*x^2 + 1)) - 1/26*13^(1/4)*sqrt(2)*sqrt(3*sqrt(13) + 13)*arctan(-1/156*(303466516831856398098*x^24 + 4743900311019108485688*x^23 + 28233351478670402508912*x^22 - 72199824668983318237944*x^21 - 549945030052979141285484*x^20 + 203866718260552713998424*x^19 + 3538287727177039762376880*x^18 + 1160844709036705056427752*x^17 - 10483458261909001046283762*x^16 - 5884323216790673562757200*x^15 + 18321648976655814996172512*x^14 + 10935511024932688162387536*x^13 - 21815129887942114408252776*x^12 - 10935511024932688162387536*x^11 + 18321648976655814996172512*x^10 + 5884323216790673562757200*x^9 - 10483458261909001046283762*x^8 - 1160844709036705056427752*x^7 + 3538287727177039762376880*x^6 - 203866718260552713998424*x^5 - 549945030052979141285484*x^4 + 72199824668983318237944*x^3 + 28233351478670402508912*x^2 + 22542*sqrt(x^4 + x^3 - x^2 - x + 1)*(13^(3/4)*(sqrt(13)*sqrt(2)*(438032817640345*x^22 + 4766023804643608*x^21 - 22651687495355451*x^20 - 73226949981951792*x^19 + 201895053539000295*x^18 + 581246457201440152*x^17 - 688323719968941789*x^16 - 2375828481503141120*x^15 + 835564914755102394*x^14 + 4875744719966576976*x^13 - 518955383785839278*x^12 - 6081767361973499808*x^11 + 518955383785839278*x^10 + 4875744719966576976*x^9 - 835564914755102394*x^8 - 2375828481503141120*x^7 + 688323719968941789*x^6 + 581246457201440152*x^5 - 201895053539000295*x^4 - 73226949981951792*x^3 + 22651687495355451*x^2 + 4766023804643608*x - 438032817640345) - 13*sqrt(2)*(70613291210443*x^22 + 1163654076309028*x^21 - 1583310499286865*x^20 - 22882269559286984*x^19 + 6676964780514997*x^18 + 174966322381689396*x^17 + 44249933486799049*x^16 - 651769703746318880*x^15 - 361386944352761330*x^14 + 1257983237200889768*x^13 + 764225260716326422*x^12 - 1534892168387514928*x^11 - 764225260716326422*x^10 + 1257983237200889768*x^9 + 361386944352761330*x^8 - 651769703746318880*x^7 - 44249933486799049*x^6 + 174966322381689396*x^5 - 6676964780514997*x^4 - 22882269559286984*x^3 + 1583310499286865*x^2 + 1163654076309028*x - 70613291210443)) + 208*13^(1/4)*(sqrt(13)*sqrt(2)*(4692636395300*x^22 + 21025698352120*x^21 - 509873403724003*x^20 + 1198066536193627*x^19 + 3315357795152678*x^18 - 10114246161224222*x^17 - 11088440456053169*x^16 + 37159592182761664*x^15 + 22839711859751903*x^14 - 80081392708755290*x^13 - 34837626972977603*x^12 + 102461865113616074*x^11 + 34837626972977603*x^10 - 80081392708755290*x^9 - 22839711859751903*x^8 + 37159592182761664*x^7 + 11088440456053169*x^6 - 10114246161224222*x^5 - 3315357795152678*x^4 + 1198066536193627*x^3 + 509873403724003*x^2 + 21025698352120*x - 4692636395300) - sqrt(2)*(5887397593700*x^22 + 48235726154280*x^21 - 789276041251667*x^20 + 3219073445078935*x^19 + 987154599751170*x^18 - 30671562330634130*x^17 + 14799842775240331*x^16 + 133701026987497176*x^15 - 52507544684949429*x^14 - 312813206043385494*x^13 + 76214230101024249*x^12 + 408248773019680034*x^11 - 76214230101024249*x^10 - 312813206043385494*x^9 + 52507544684949429*x^8 + 133701026987497176*x^7 - 14799842775240331*x^6 - 30671562330634130*x^5 - 987154599751170*x^4 + 3219073445078935*x^3 + 789276041251667*x^2 + 48235726154280*x - 5887397593700)))*sqrt(3*sqrt(13) + 13) - 17*sqrt(13)*(8*(1176400871054864000*x^22 + 7687548786224798400*x^21 - 69832722125408817120*x^20 - 23339220413812524208*x^19 + 562761972310677711728*x^18 + 215247024424501074096*x^17 - 2257653963476425070128*x^16 - 1386968938773226680352*x^15 + 4790605753830493069200*x^14 + 3519045680546393583248*x^13 - 6554503840828816558192*x^12 - 4586127059160220899936*x^11 + 6554503840828816558192*x^10 + 3519045680546393583248*x^9 - 4790605753830493069200*x^8 - 1386968938773226680352*x^7 + 2257653963476425070128*x^6 + 215247024424501074096*x^5 - 562761972310677711728*x^4 - 23339220413812524208*x^3 + 69832722125408817120*x^2 + sqrt(13)*(347413063094905990*x^22 + 2574804143274222093*x^21 - 18530451609856137822*x^20 - 22081688459241438170*x^19 + 171845528497503708406*x^18 + 132215393354867446377*x^17 - 750514342534298363294*x^16 - 551029809556392223928*x^15 + 1817527644069021398748*x^14 + 1300271146740319620490*x^13 - 2716824871550408597420*x^12 - 1710848117433555567324*x^11 + 2716824871550408597420*x^10 + 1300271146740319620490*x^9 - 1817527644069021398748*x^8 - 551029809556392223928*x^7 + 750514342534298363294*x^6 + 132215393354867446377*x^5 - 171845528497503708406*x^4 - 22081688459241438170*x^3 + 18530451609856137822*x^2 + sqrt(13)*(86119890640762790*x^22 + 612895390416267933*x^21 - 4335535920387511086*x^20 - 5302468667138334250*x^19 + 38587660384357338854*x^18 + 30930979498708755225*x^17 - 158845749790110352222*x^16 - 119769067733058532408*x^15 + 361880375640229546236*x^14 + 254022661898659193930*x^13 - 531382608639111111148*x^12 - 324162614012386926396*x^11 + 531382608639111111148*x^10 + 254022661898659193930*x^9 - 361880375640229546236*x^8 - 119769067733058532408*x^7 + 158845749790110352222*x^6 + 30930979498708755225*x^5 - 38587660384357338854*x^4 - 5302468667138334250*x^3 + 4335535920387511086*x^2 + 612895390416267933*x - 86119890640762790) + 2574804143274222093*x - 347413063094905990) + 781456*sqrt(13)*(392642047000*x^22 + 2668947743700*x^21 - 21551606454210*x^20 - 25391634979349*x^19 + 216431774913673*x^18 + 165124287185685*x^17 - 975636855722909*x^16 - 730292496271070*x^15 + 2323352136214791*x^14 + 1661364413033911*x^13 - 3469542924856697*x^12 - 2159192030142810*x^11 + 3469542924856697*x^10 + 1661364413033911*x^9 - 2323352136214791*x^8 - 730292496271070*x^7 + 975636855722909*x^6 + 165124287185685*x^5 - 216431774913673*x^4 - 25391634979349*x^3 + 21551606454210*x^2 + 2668947743700*x - 392642047000) + 7687548786224798400*x - 1176400871054864000)*sqrt(x^4 + x^3 - x^2 - x + 1) + (13^(3/4)*(sqrt(13)*sqrt(2)*(42561667757632535*x^24 + 257611512435675958*x^23 - 2247750745977714788*x^22 - 1814256247738761970*x^21 + 24442437067776376590*x^20 + 7434104308599750458*x^19 - 133732529802419891028*x^18 - 40377788940700833486*x^17 + 424853244996735057401*x^16 + 169970966197279445148*x^15 - 792994393765633385544*x^14 - 324292611472025875252*x^13 + 965410860226389212612*x^12 + 324292611472025875252*x^11 - 792994393765633385544*x^10 - 169970966197279445148*x^9 + 424853244996735057401*x^8 + 40377788940700833486*x^7 - 133732529802419891028*x^6 - 7434104308599750458*x^5 + 24442437067776376590*x^4 + 1814256247738761970*x^3 - 2247750745977714788*x^2 - 257611512435675958*x + 42561667757632535) + sqrt(2)*(255964917914376199*x^24 + 2378265999782735342*x^23 - 10723699406875401436*x^22 - 34884403219165654778*x^21 + 93953387409611786046*x^20 + 253421004867879632674*x^19 - 344419433727703157868*x^18 - 1002660055585799007654*x^17 + 598091993726342289097*x^16 + 2206109898157584293772*x^15 - 695096131692662787768*x^14 - 3171896094005833352900*x^13 + 694108138803077006308*x^12 + 3171896094005833352900*x^11 - 695096131692662787768*x^10 - 2206109898157584293772*x^9 + 598091993726342289097*x^8 + 1002660055585799007654*x^7 - 344419433727703157868*x^6 - 253421004867879632674*x^5 + 93953387409611786046*x^4 + 34884403219165654778*x^3 - 10723699406875401436*x^2 - 2378265999782735342*x + 255964917914376199)) + 16*13^(1/4)*(sqrt(13)*sqrt(2)*(10624231800639100*x^24 + 80728789199165240*x^23 - 453437665552960801*x^22 - 1361343207830720927*x^21 + 4509496134229422087*x^20 + 11529111171725879005*x^19 - 19238646913942275477*x^18 - 53837830579514157270*x^17 + 39389350688620333912*x^16 + 138078999987416412018*x^15 - 45152999655828310218*x^14 - 212071343879066457860*x^13 + 43690224455383154506*x^12 + 212071343879066457860*x^11 - 45152999655828310218*x^10 - 138078999987416412018*x^9 + 39389350688620333912*x^8 + 53837830579514157270*x^7 - 19238646913942275477*x^6 - 11529111171725879005*x^5 + 4509496134229422087*x^4 + 1361343207830720927*x^3 - 453437665552960801*x^2 - 80728789199165240*x + 10624231800639100) + 13*sqrt(2)*(3882779405827700*x^24 + 28606444435892680*x^23 - 227641579389617987*x^22 - 198956183337105013*x^21 + 2168414620505808021*x^20 + 1093374150915552911*x^19 - 10049115354907453191*x^18 - 4545138448499822946*x^17 + 26948863273874260376*x^16 + 10958614328214418326*x^15 - 47994628464112587318*x^14 - 17184519112020979516*x^13 + 57842201375545723838*x^12 + 17184519112020979516*x^11 - 47994628464112587318*x^10 - 10958614328214418326*x^9 + 26948863273874260376*x^8 + 4545138448499822946*x^7 - 10049115354907453191*x^6 - 1093374150915552911*x^5 + 2168414620505808021*x^4 + 198956183337105013*x^3 - 227641579389617987*x^2 - 28606444435892680*x + 3882779405827700)))*sqrt(3*sqrt(13) + 13))*sqrt((52*x^4 + 52*x^3 - 13^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(sqrt(13)*sqrt(2)*(x^2 + 2*x - 1) + sqrt(2)*(5*x^2 - 2*x - 5))*sqrt(3*sqrt(13) + 13) - 52*x^2 + sqrt(13)*(17*x^4 + 20*x^3 - 26*x^2 - 20*x + 17) - 52*x + 52)/(x^4 + 2*x^2 + 1)) + 293046*sqrt(13)*(864908224669831*x^24 + 10355522400887124*x^23 - 17384091301118312*x^22 - 126742456591014836*x^21 + 22231314006511958*x^20 + 520289532650388676*x^19 + 298321626941299512*x^18 - 528293883094391716*x^17 - 389743086866628119*x^16 - 210204858921706104*x^15 - 266798576314259920*x^14 + 975476535814976248*x^13 + 761571647922735220*x^12 - 975476535814976248*x^11 - 266798576314259920*x^10 + 210204858921706104*x^9 - 389743086866628119*x^8 + 528293883094391716*x^7 + 298321626941299512*x^6 - 520289532650388676*x^5 + 22231314006511958*x^4 + 126742456591014836*x^3 - 17384091301118312*x^2 - 10355522400887124*x + 864908224669831) + 2344368*sqrt(13)*(6297682684370*x^24 - 199950327117651*x^23 - 995766583461953*x^22 + 3494940283605122*x^21 + 11259696068148532*x^20 - 11251123247802050*x^19 - 43365133169916061*x^18 - 7137738820792145*x^17 + 29711549278992846*x^16 + 14458141654548170*x^15 + 42344219995051230*x^14 + 6649866616815492*x^13 - 85988445576305064*x^12 - 6649866616815492*x^11 + 42344219995051230*x^10 - 14458141654548170*x^9 + 29711549278992846*x^8 + 7137738820792145*x^7 - 43365133169916061*x^6 + 11251123247802050*x^5 + 11259696068148532*x^4 - 3494940283605122*x^3 - 995766583461953*x^2 + sqrt(13)*(20927774353570*x^24 + 130384064414589*x^23 - 1832539639466373*x^22 - 378588130924562*x^21 + 21380590264585528*x^20 + 4744891377887298*x^19 - 116038978593664721*x^18 - 50745796110773153*x^17 + 338872085186622574*x^16 + 188797691491908298*x^15 - 600518166018256810*x^14 - 335968273816529348*x^13 + 718884696204352368*x^12 + 335968273816529348*x^11 - 600518166018256810*x^10 - 188797691491908298*x^9 + 338872085186622574*x^8 + 50745796110773153*x^7 - 116038978593664721*x^6 - 4744891377887298*x^5 + 21380590264585528*x^4 + 378588130924562*x^3 - 1832539639466373*x^2 - 130384064414589*x + 20927774353570) + 199950327117651*x + 6297682684370) - 4743900311019108485688*x + 303466516831856398098)/(2619839878947519387*x^24 + 56875992053837531104*x^23 + 131959371237747999396*x^22 - 2182804951517679993984*x^21 - 834435940279923178058*x^20 + 19080490944149866629376*x^19 + 7572391123444752820884*x^18 - 80627449581147817109984*x^17 - 42572148062363848355915*x^16 + 186546831575976527374656*x^15 + 105848256468770974999240*x^14 - 273413685733714921314176*x^13 - 139929639991653442404876*x^12 + 273413685733714921314176*x^11 + 105848256468770974999240*x^10 - 186546831575976527374656*x^9 - 42572148062363848355915*x^8 + 80627449581147817109984*x^7 + 7572391123444752820884*x^6 - 19080490944149866629376*x^5 - 834435940279923178058*x^4 + 2182804951517679993984*x^3 + 131959371237747999396*x^2 - 56875992053837531104*x + 2619839878947519387)) - 1/26*13^(1/4)*sqrt(2)*sqrt(3*sqrt(13) + 13)*arctan(1/156*(303466516831856398098*x^24 + 4743900311019108485688*x^23 + 28233351478670402508912*x^22 - 72199824668983318237944*x^21 - 549945030052979141285484*x^20 + 203866718260552713998424*x^19 + 3538287727177039762376880*x^18 + 1160844709036705056427752*x^17 - 10483458261909001046283762*x^16 - 5884323216790673562757200*x^15 + 18321648976655814996172512*x^14 + 10935511024932688162387536*x^13 - 21815129887942114408252776*x^12 - 10935511024932688162387536*x^11 + 18321648976655814996172512*x^10 + 5884323216790673562757200*x^9 - 10483458261909001046283762*x^8 - 1160844709036705056427752*x^7 + 3538287727177039762376880*x^6 - 203866718260552713998424*x^5 - 549945030052979141285484*x^4 + 72199824668983318237944*x^3 + 28233351478670402508912*x^2 - 22542*sqrt(x^4 + x^3 - x^2 - x + 1)*(13^(3/4)*(sqrt(13)*sqrt(2)*(438032817640345*x^22 + 4766023804643608*x^21 - 22651687495355451*x^20 - 73226949981951792*x^19 + 201895053539000295*x^18 + 581246457201440152*x^17 - 688323719968941789*x^16 - 2375828481503141120*x^15 + 835564914755102394*x^14 + 4875744719966576976*x^13 - 518955383785839278*x^12 - 6081767361973499808*x^11 + 518955383785839278*x^10 + 4875744719966576976*x^9 - 835564914755102394*x^8 - 2375828481503141120*x^7 + 688323719968941789*x^6 + 581246457201440152*x^5 - 201895053539000295*x^4 - 73226949981951792*x^3 + 22651687495355451*x^2 + 4766023804643608*x - 438032817640345) - 13*sqrt(2)*(70613291210443*x^22 + 1163654076309028*x^21 - 1583310499286865*x^20 - 22882269559286984*x^19 + 6676964780514997*x^18 + 174966322381689396*x^17 + 44249933486799049*x^16 - 651769703746318880*x^15 - 361386944352761330*x^14 + 1257983237200889768*x^13 + 764225260716326422*x^12 - 1534892168387514928*x^11 - 764225260716326422*x^10 + 1257983237200889768*x^9 + 361386944352761330*x^8 - 651769703746318880*x^7 - 44249933486799049*x^6 + 174966322381689396*x^5 - 6676964780514997*x^4 - 22882269559286984*x^3 + 1583310499286865*x^2 + 1163654076309028*x - 70613291210443)) + 208*13^(1/4)*(sqrt(13)*sqrt(2)*(4692636395300*x^22 + 21025698352120*x^21 - 509873403724003*x^20 + 1198066536193627*x^19 + 3315357795152678*x^18 - 10114246161224222*x^17 - 11088440456053169*x^16 + 37159592182761664*x^15 + 22839711859751903*x^14 - 80081392708755290*x^13 - 34837626972977603*x^12 + 102461865113616074*x^11 + 34837626972977603*x^10 - 80081392708755290*x^9 - 22839711859751903*x^8 + 37159592182761664*x^7 + 11088440456053169*x^6 - 10114246161224222*x^5 - 3315357795152678*x^4 + 1198066536193627*x^3 + 509873403724003*x^2 + 21025698352120*x - 4692636395300) - sqrt(2)*(5887397593700*x^22 + 48235726154280*x^21 - 789276041251667*x^20 + 3219073445078935*x^19 + 987154599751170*x^18 - 30671562330634130*x^17 + 14799842775240331*x^16 + 133701026987497176*x^15 - 52507544684949429*x^14 - 312813206043385494*x^13 + 76214230101024249*x^12 + 408248773019680034*x^11 - 76214230101024249*x^10 - 312813206043385494*x^9 + 52507544684949429*x^8 + 133701026987497176*x^7 - 14799842775240331*x^6 - 30671562330634130*x^5 - 987154599751170*x^4 + 3219073445078935*x^3 + 789276041251667*x^2 + 48235726154280*x - 5887397593700)))*sqrt(3*sqrt(13) + 13) - 17*sqrt(13)*(8*(1176400871054864000*x^22 + 7687548786224798400*x^21 - 69832722125408817120*x^20 - 23339220413812524208*x^19 + 562761972310677711728*x^18 + 215247024424501074096*x^17 - 2257653963476425070128*x^16 - 1386968938773226680352*x^15 + 4790605753830493069200*x^14 + 3519045680546393583248*x^13 - 6554503840828816558192*x^12 - 4586127059160220899936*x^11 + 6554503840828816558192*x^10 + 3519045680546393583248*x^9 - 4790605753830493069200*x^8 - 1386968938773226680352*x^7 + 2257653963476425070128*x^6 + 215247024424501074096*x^5 - 562761972310677711728*x^4 - 23339220413812524208*x^3 + 69832722125408817120*x^2 + sqrt(13)*(347413063094905990*x^22 + 2574804143274222093*x^21 - 18530451609856137822*x^20 - 22081688459241438170*x^19 + 171845528497503708406*x^18 + 132215393354867446377*x^17 - 750514342534298363294*x^16 - 551029809556392223928*x^15 + 1817527644069021398748*x^14 + 1300271146740319620490*x^13 - 2716824871550408597420*x^12 - 1710848117433555567324*x^11 + 2716824871550408597420*x^10 + 1300271146740319620490*x^9 - 1817527644069021398748*x^8 - 551029809556392223928*x^7 + 750514342534298363294*x^6 + 132215393354867446377*x^5 - 171845528497503708406*x^4 - 22081688459241438170*x^3 + 18530451609856137822*x^2 + sqrt(13)*(86119890640762790*x^22 + 612895390416267933*x^21 - 4335535920387511086*x^20 - 5302468667138334250*x^19 + 38587660384357338854*x^18 + 30930979498708755225*x^17 - 158845749790110352222*x^16 - 119769067733058532408*x^15 + 361880375640229546236*x^14 + 254022661898659193930*x^13 - 531382608639111111148*x^12 - 324162614012386926396*x^11 + 531382608639111111148*x^10 + 254022661898659193930*x^9 - 361880375640229546236*x^8 - 119769067733058532408*x^7 + 158845749790110352222*x^6 + 30930979498708755225*x^5 - 38587660384357338854*x^4 - 5302468667138334250*x^3 + 4335535920387511086*x^2 + 612895390416267933*x - 86119890640762790) + 2574804143274222093*x - 347413063094905990) + 781456*sqrt(13)*(392642047000*x^22 + 2668947743700*x^21 - 21551606454210*x^20 - 25391634979349*x^19 + 216431774913673*x^18 + 165124287185685*x^17 - 975636855722909*x^16 - 730292496271070*x^15 + 2323352136214791*x^14 + 1661364413033911*x^13 - 3469542924856697*x^12 - 2159192030142810*x^11 + 3469542924856697*x^10 + 1661364413033911*x^9 - 2323352136214791*x^8 - 730292496271070*x^7 + 975636855722909*x^6 + 165124287185685*x^5 - 216431774913673*x^4 - 25391634979349*x^3 + 21551606454210*x^2 + 2668947743700*x - 392642047000) + 7687548786224798400*x - 1176400871054864000)*sqrt(x^4 + x^3 - x^2 - x + 1) - (13^(3/4)*(sqrt(13)*sqrt(2)*(42561667757632535*x^24 + 257611512435675958*x^23 - 2247750745977714788*x^22 - 1814256247738761970*x^21 + 24442437067776376590*x^20 + 7434104308599750458*x^19 - 133732529802419891028*x^18 - 40377788940700833486*x^17 + 424853244996735057401*x^16 + 169970966197279445148*x^15 - 792994393765633385544*x^14 - 324292611472025875252*x^13 + 965410860226389212612*x^12 + 324292611472025875252*x^11 - 792994393765633385544*x^10 - 169970966197279445148*x^9 + 424853244996735057401*x^8 + 40377788940700833486*x^7 - 133732529802419891028*x^6 - 7434104308599750458*x^5 + 24442437067776376590*x^4 + 1814256247738761970*x^3 - 2247750745977714788*x^2 - 257611512435675958*x + 42561667757632535) + sqrt(2)*(255964917914376199*x^24 + 2378265999782735342*x^23 - 10723699406875401436*x^22 - 34884403219165654778*x^21 + 93953387409611786046*x^20 + 253421004867879632674*x^19 - 344419433727703157868*x^18 - 1002660055585799007654*x^17 + 598091993726342289097*x^16 + 2206109898157584293772*x^15 - 695096131692662787768*x^14 - 3171896094005833352900*x^13 + 694108138803077006308*x^12 + 3171896094005833352900*x^11 - 695096131692662787768*x^10 - 2206109898157584293772*x^9 + 598091993726342289097*x^8 + 1002660055585799007654*x^7 - 344419433727703157868*x^6 - 253421004867879632674*x^5 + 93953387409611786046*x^4 + 34884403219165654778*x^3 - 10723699406875401436*x^2 - 2378265999782735342*x + 255964917914376199)) + 16*13^(1/4)*(sqrt(13)*sqrt(2)*(10624231800639100*x^24 + 80728789199165240*x^23 - 453437665552960801*x^22 - 1361343207830720927*x^21 + 4509496134229422087*x^20 + 11529111171725879005*x^19 - 19238646913942275477*x^18 - 53837830579514157270*x^17 + 39389350688620333912*x^16 + 138078999987416412018*x^15 - 45152999655828310218*x^14 - 212071343879066457860*x^13 + 43690224455383154506*x^12 + 212071343879066457860*x^11 - 45152999655828310218*x^10 - 138078999987416412018*x^9 + 39389350688620333912*x^8 + 53837830579514157270*x^7 - 19238646913942275477*x^6 - 11529111171725879005*x^5 + 4509496134229422087*x^4 + 1361343207830720927*x^3 - 453437665552960801*x^2 - 80728789199165240*x + 10624231800639100) + 13*sqrt(2)*(3882779405827700*x^24 + 28606444435892680*x^23 - 227641579389617987*x^22 - 198956183337105013*x^21 + 2168414620505808021*x^20 + 1093374150915552911*x^19 - 10049115354907453191*x^18 - 4545138448499822946*x^17 + 26948863273874260376*x^16 + 10958614328214418326*x^15 - 47994628464112587318*x^14 - 17184519112020979516*x^13 + 57842201375545723838*x^12 + 17184519112020979516*x^11 - 47994628464112587318*x^10 - 10958614328214418326*x^9 + 26948863273874260376*x^8 + 4545138448499822946*x^7 - 10049115354907453191*x^6 - 1093374150915552911*x^5 + 2168414620505808021*x^4 + 198956183337105013*x^3 - 227641579389617987*x^2 - 28606444435892680*x + 3882779405827700)))*sqrt(3*sqrt(13) + 13))*sqrt((52*x^4 + 52*x^3 + 13^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(sqrt(13)*sqrt(2)*(x^2 + 2*x - 1) + sqrt(2)*(5*x^2 - 2*x - 5))*sqrt(3*sqrt(13) + 13) - 52*x^2 + sqrt(13)*(17*x^4 + 20*x^3 - 26*x^2 - 20*x + 17) - 52*x + 52)/(x^4 + 2*x^2 + 1)) + 293046*sqrt(13)*(864908224669831*x^24 + 10355522400887124*x^23 - 17384091301118312*x^22 - 126742456591014836*x^21 + 22231314006511958*x^20 + 520289532650388676*x^19 + 298321626941299512*x^18 - 528293883094391716*x^17 - 389743086866628119*x^16 - 210204858921706104*x^15 - 266798576314259920*x^14 + 975476535814976248*x^13 + 761571647922735220*x^12 - 975476535814976248*x^11 - 266798576314259920*x^10 + 210204858921706104*x^9 - 389743086866628119*x^8 + 528293883094391716*x^7 + 298321626941299512*x^6 - 520289532650388676*x^5 + 22231314006511958*x^4 + 126742456591014836*x^3 - 17384091301118312*x^2 - 10355522400887124*x + 864908224669831) + 2344368*sqrt(13)*(6297682684370*x^24 - 199950327117651*x^23 - 995766583461953*x^22 + 3494940283605122*x^21 + 11259696068148532*x^20 - 11251123247802050*x^19 - 43365133169916061*x^18 - 7137738820792145*x^17 + 29711549278992846*x^16 + 14458141654548170*x^15 + 42344219995051230*x^14 + 6649866616815492*x^13 - 85988445576305064*x^12 - 6649866616815492*x^11 + 42344219995051230*x^10 - 14458141654548170*x^9 + 29711549278992846*x^8 + 7137738820792145*x^7 - 43365133169916061*x^6 + 11251123247802050*x^5 + 11259696068148532*x^4 - 3494940283605122*x^3 - 995766583461953*x^2 + sqrt(13)*(20927774353570*x^24 + 130384064414589*x^23 - 1832539639466373*x^22 - 378588130924562*x^21 + 21380590264585528*x^20 + 4744891377887298*x^19 - 116038978593664721*x^18 - 50745796110773153*x^17 + 338872085186622574*x^16 + 188797691491908298*x^15 - 600518166018256810*x^14 - 335968273816529348*x^13 + 718884696204352368*x^12 + 335968273816529348*x^11 - 600518166018256810*x^10 - 188797691491908298*x^9 + 338872085186622574*x^8 + 50745796110773153*x^7 - 116038978593664721*x^6 - 4744891377887298*x^5 + 21380590264585528*x^4 + 378588130924562*x^3 - 1832539639466373*x^2 - 130384064414589*x + 20927774353570) + 199950327117651*x + 6297682684370) - 4743900311019108485688*x + 303466516831856398098)/(2619839878947519387*x^24 + 56875992053837531104*x^23 + 131959371237747999396*x^22 - 2182804951517679993984*x^21 - 834435940279923178058*x^20 + 19080490944149866629376*x^19 + 7572391123444752820884*x^18 - 80627449581147817109984*x^17 - 42572148062363848355915*x^16 + 186546831575976527374656*x^15 + 105848256468770974999240*x^14 - 273413685733714921314176*x^13 - 139929639991653442404876*x^12 + 273413685733714921314176*x^11 + 105848256468770974999240*x^10 - 186546831575976527374656*x^9 - 42572148062363848355915*x^8 + 80627449581147817109984*x^7 + 7572391123444752820884*x^6 - 19080490944149866629376*x^5 - 834435940279923178058*x^4 + 2182804951517679993984*x^3 + 131959371237747999396*x^2 - 56875992053837531104*x + 2619839878947519387))","B",0
1781,1,4828,0,6.452411," ","integrate((x^2-1)/(x^2+1)/(x^4+x^3-x^2-x+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{208} \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} - 3 \, \sqrt{2}\right)} \sqrt{3 \, \sqrt{13} + 13} \log\left(\frac{2539732 \, {\left(52 \, x^{4} + 52 \, x^{3} + 13^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(\sqrt{13} \sqrt{2} {\left(x^{2} + 2 \, x - 1\right)} + \sqrt{2} {\left(5 \, x^{2} - 2 \, x - 5\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 52 \, x^{2} + \sqrt{13} {\left(17 \, x^{4} + 20 \, x^{3} - 26 \, x^{2} - 20 \, x + 17\right)} - 52 \, x + 52\right)}}{x^{4} + 2 \, x^{2} + 1}\right) + \frac{1}{208} \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} - 3 \, \sqrt{2}\right)} \sqrt{3 \, \sqrt{13} + 13} \log\left(\frac{2539732 \, {\left(52 \, x^{4} + 52 \, x^{3} - 13^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(\sqrt{13} \sqrt{2} {\left(x^{2} + 2 \, x - 1\right)} + \sqrt{2} {\left(5 \, x^{2} - 2 \, x - 5\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 52 \, x^{2} + \sqrt{13} {\left(17 \, x^{4} + 20 \, x^{3} - 26 \, x^{2} - 20 \, x + 17\right)} - 52 \, x + 52\right)}}{x^{4} + 2 \, x^{2} + 1}\right) - \frac{1}{26} \cdot 13^{\frac{1}{4}} \sqrt{2} \sqrt{3 \, \sqrt{13} + 13} \arctan\left(-\frac{303466516831856398098 \, x^{24} + 4743900311019108485688 \, x^{23} + 28233351478670402508912 \, x^{22} - 72199824668983318237944 \, x^{21} - 549945030052979141285484 \, x^{20} + 203866718260552713998424 \, x^{19} + 3538287727177039762376880 \, x^{18} + 1160844709036705056427752 \, x^{17} - 10483458261909001046283762 \, x^{16} - 5884323216790673562757200 \, x^{15} + 18321648976655814996172512 \, x^{14} + 10935511024932688162387536 \, x^{13} - 21815129887942114408252776 \, x^{12} - 10935511024932688162387536 \, x^{11} + 18321648976655814996172512 \, x^{10} + 5884323216790673562757200 \, x^{9} - 10483458261909001046283762 \, x^{8} - 1160844709036705056427752 \, x^{7} + 3538287727177039762376880 \, x^{6} - 203866718260552713998424 \, x^{5} - 549945030052979141285484 \, x^{4} + 72199824668983318237944 \, x^{3} + 28233351478670402508912 \, x^{2} + 22542 \, \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(13^{\frac{3}{4}} {\left(\sqrt{13} \sqrt{2} {\left(438032817640345 \, x^{22} + 4766023804643608 \, x^{21} - 22651687495355451 \, x^{20} - 73226949981951792 \, x^{19} + 201895053539000295 \, x^{18} + 581246457201440152 \, x^{17} - 688323719968941789 \, x^{16} - 2375828481503141120 \, x^{15} + 835564914755102394 \, x^{14} + 4875744719966576976 \, x^{13} - 518955383785839278 \, x^{12} - 6081767361973499808 \, x^{11} + 518955383785839278 \, x^{10} + 4875744719966576976 \, x^{9} - 835564914755102394 \, x^{8} - 2375828481503141120 \, x^{7} + 688323719968941789 \, x^{6} + 581246457201440152 \, x^{5} - 201895053539000295 \, x^{4} - 73226949981951792 \, x^{3} + 22651687495355451 \, x^{2} + 4766023804643608 \, x - 438032817640345\right)} - 13 \, \sqrt{2} {\left(70613291210443 \, x^{22} + 1163654076309028 \, x^{21} - 1583310499286865 \, x^{20} - 22882269559286984 \, x^{19} + 6676964780514997 \, x^{18} + 174966322381689396 \, x^{17} + 44249933486799049 \, x^{16} - 651769703746318880 \, x^{15} - 361386944352761330 \, x^{14} + 1257983237200889768 \, x^{13} + 764225260716326422 \, x^{12} - 1534892168387514928 \, x^{11} - 764225260716326422 \, x^{10} + 1257983237200889768 \, x^{9} + 361386944352761330 \, x^{8} - 651769703746318880 \, x^{7} - 44249933486799049 \, x^{6} + 174966322381689396 \, x^{5} - 6676964780514997 \, x^{4} - 22882269559286984 \, x^{3} + 1583310499286865 \, x^{2} + 1163654076309028 \, x - 70613291210443\right)}\right)} + 208 \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} {\left(4692636395300 \, x^{22} + 21025698352120 \, x^{21} - 509873403724003 \, x^{20} + 1198066536193627 \, x^{19} + 3315357795152678 \, x^{18} - 10114246161224222 \, x^{17} - 11088440456053169 \, x^{16} + 37159592182761664 \, x^{15} + 22839711859751903 \, x^{14} - 80081392708755290 \, x^{13} - 34837626972977603 \, x^{12} + 102461865113616074 \, x^{11} + 34837626972977603 \, x^{10} - 80081392708755290 \, x^{9} - 22839711859751903 \, x^{8} + 37159592182761664 \, x^{7} + 11088440456053169 \, x^{6} - 10114246161224222 \, x^{5} - 3315357795152678 \, x^{4} + 1198066536193627 \, x^{3} + 509873403724003 \, x^{2} + 21025698352120 \, x - 4692636395300\right)} - \sqrt{2} {\left(5887397593700 \, x^{22} + 48235726154280 \, x^{21} - 789276041251667 \, x^{20} + 3219073445078935 \, x^{19} + 987154599751170 \, x^{18} - 30671562330634130 \, x^{17} + 14799842775240331 \, x^{16} + 133701026987497176 \, x^{15} - 52507544684949429 \, x^{14} - 312813206043385494 \, x^{13} + 76214230101024249 \, x^{12} + 408248773019680034 \, x^{11} - 76214230101024249 \, x^{10} - 312813206043385494 \, x^{9} + 52507544684949429 \, x^{8} + 133701026987497176 \, x^{7} - 14799842775240331 \, x^{6} - 30671562330634130 \, x^{5} - 987154599751170 \, x^{4} + 3219073445078935 \, x^{3} + 789276041251667 \, x^{2} + 48235726154280 \, x - 5887397593700\right)}\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 17 \, \sqrt{13} {\left(8 \, {\left(1176400871054864000 \, x^{22} + 7687548786224798400 \, x^{21} - 69832722125408817120 \, x^{20} - 23339220413812524208 \, x^{19} + 562761972310677711728 \, x^{18} + 215247024424501074096 \, x^{17} - 2257653963476425070128 \, x^{16} - 1386968938773226680352 \, x^{15} + 4790605753830493069200 \, x^{14} + 3519045680546393583248 \, x^{13} - 6554503840828816558192 \, x^{12} - 4586127059160220899936 \, x^{11} + 6554503840828816558192 \, x^{10} + 3519045680546393583248 \, x^{9} - 4790605753830493069200 \, x^{8} - 1386968938773226680352 \, x^{7} + 2257653963476425070128 \, x^{6} + 215247024424501074096 \, x^{5} - 562761972310677711728 \, x^{4} - 23339220413812524208 \, x^{3} + 69832722125408817120 \, x^{2} + \sqrt{13} {\left(347413063094905990 \, x^{22} + 2574804143274222093 \, x^{21} - 18530451609856137822 \, x^{20} - 22081688459241438170 \, x^{19} + 171845528497503708406 \, x^{18} + 132215393354867446377 \, x^{17} - 750514342534298363294 \, x^{16} - 551029809556392223928 \, x^{15} + 1817527644069021398748 \, x^{14} + 1300271146740319620490 \, x^{13} - 2716824871550408597420 \, x^{12} - 1710848117433555567324 \, x^{11} + 2716824871550408597420 \, x^{10} + 1300271146740319620490 \, x^{9} - 1817527644069021398748 \, x^{8} - 551029809556392223928 \, x^{7} + 750514342534298363294 \, x^{6} + 132215393354867446377 \, x^{5} - 171845528497503708406 \, x^{4} - 22081688459241438170 \, x^{3} + 18530451609856137822 \, x^{2} + \sqrt{13} {\left(86119890640762790 \, x^{22} + 612895390416267933 \, x^{21} - 4335535920387511086 \, x^{20} - 5302468667138334250 \, x^{19} + 38587660384357338854 \, x^{18} + 30930979498708755225 \, x^{17} - 158845749790110352222 \, x^{16} - 119769067733058532408 \, x^{15} + 361880375640229546236 \, x^{14} + 254022661898659193930 \, x^{13} - 531382608639111111148 \, x^{12} - 324162614012386926396 \, x^{11} + 531382608639111111148 \, x^{10} + 254022661898659193930 \, x^{9} - 361880375640229546236 \, x^{8} - 119769067733058532408 \, x^{7} + 158845749790110352222 \, x^{6} + 30930979498708755225 \, x^{5} - 38587660384357338854 \, x^{4} - 5302468667138334250 \, x^{3} + 4335535920387511086 \, x^{2} + 612895390416267933 \, x - 86119890640762790\right)} + 2574804143274222093 \, x - 347413063094905990\right)} + 781456 \, \sqrt{13} {\left(392642047000 \, x^{22} + 2668947743700 \, x^{21} - 21551606454210 \, x^{20} - 25391634979349 \, x^{19} + 216431774913673 \, x^{18} + 165124287185685 \, x^{17} - 975636855722909 \, x^{16} - 730292496271070 \, x^{15} + 2323352136214791 \, x^{14} + 1661364413033911 \, x^{13} - 3469542924856697 \, x^{12} - 2159192030142810 \, x^{11} + 3469542924856697 \, x^{10} + 1661364413033911 \, x^{9} - 2323352136214791 \, x^{8} - 730292496271070 \, x^{7} + 975636855722909 \, x^{6} + 165124287185685 \, x^{5} - 216431774913673 \, x^{4} - 25391634979349 \, x^{3} + 21551606454210 \, x^{2} + 2668947743700 \, x - 392642047000\right)} + 7687548786224798400 \, x - 1176400871054864000\right)} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} + {\left(13^{\frac{3}{4}} {\left(\sqrt{13} \sqrt{2} {\left(42561667757632535 \, x^{24} + 257611512435675958 \, x^{23} - 2247750745977714788 \, x^{22} - 1814256247738761970 \, x^{21} + 24442437067776376590 \, x^{20} + 7434104308599750458 \, x^{19} - 133732529802419891028 \, x^{18} - 40377788940700833486 \, x^{17} + 424853244996735057401 \, x^{16} + 169970966197279445148 \, x^{15} - 792994393765633385544 \, x^{14} - 324292611472025875252 \, x^{13} + 965410860226389212612 \, x^{12} + 324292611472025875252 \, x^{11} - 792994393765633385544 \, x^{10} - 169970966197279445148 \, x^{9} + 424853244996735057401 \, x^{8} + 40377788940700833486 \, x^{7} - 133732529802419891028 \, x^{6} - 7434104308599750458 \, x^{5} + 24442437067776376590 \, x^{4} + 1814256247738761970 \, x^{3} - 2247750745977714788 \, x^{2} - 257611512435675958 \, x + 42561667757632535\right)} + \sqrt{2} {\left(255964917914376199 \, x^{24} + 2378265999782735342 \, x^{23} - 10723699406875401436 \, x^{22} - 34884403219165654778 \, x^{21} + 93953387409611786046 \, x^{20} + 253421004867879632674 \, x^{19} - 344419433727703157868 \, x^{18} - 1002660055585799007654 \, x^{17} + 598091993726342289097 \, x^{16} + 2206109898157584293772 \, x^{15} - 695096131692662787768 \, x^{14} - 3171896094005833352900 \, x^{13} + 694108138803077006308 \, x^{12} + 3171896094005833352900 \, x^{11} - 695096131692662787768 \, x^{10} - 2206109898157584293772 \, x^{9} + 598091993726342289097 \, x^{8} + 1002660055585799007654 \, x^{7} - 344419433727703157868 \, x^{6} - 253421004867879632674 \, x^{5} + 93953387409611786046 \, x^{4} + 34884403219165654778 \, x^{3} - 10723699406875401436 \, x^{2} - 2378265999782735342 \, x + 255964917914376199\right)}\right)} + 16 \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} {\left(10624231800639100 \, x^{24} + 80728789199165240 \, x^{23} - 453437665552960801 \, x^{22} - 1361343207830720927 \, x^{21} + 4509496134229422087 \, x^{20} + 11529111171725879005 \, x^{19} - 19238646913942275477 \, x^{18} - 53837830579514157270 \, x^{17} + 39389350688620333912 \, x^{16} + 138078999987416412018 \, x^{15} - 45152999655828310218 \, x^{14} - 212071343879066457860 \, x^{13} + 43690224455383154506 \, x^{12} + 212071343879066457860 \, x^{11} - 45152999655828310218 \, x^{10} - 138078999987416412018 \, x^{9} + 39389350688620333912 \, x^{8} + 53837830579514157270 \, x^{7} - 19238646913942275477 \, x^{6} - 11529111171725879005 \, x^{5} + 4509496134229422087 \, x^{4} + 1361343207830720927 \, x^{3} - 453437665552960801 \, x^{2} - 80728789199165240 \, x + 10624231800639100\right)} + 13 \, \sqrt{2} {\left(3882779405827700 \, x^{24} + 28606444435892680 \, x^{23} - 227641579389617987 \, x^{22} - 198956183337105013 \, x^{21} + 2168414620505808021 \, x^{20} + 1093374150915552911 \, x^{19} - 10049115354907453191 \, x^{18} - 4545138448499822946 \, x^{17} + 26948863273874260376 \, x^{16} + 10958614328214418326 \, x^{15} - 47994628464112587318 \, x^{14} - 17184519112020979516 \, x^{13} + 57842201375545723838 \, x^{12} + 17184519112020979516 \, x^{11} - 47994628464112587318 \, x^{10} - 10958614328214418326 \, x^{9} + 26948863273874260376 \, x^{8} + 4545138448499822946 \, x^{7} - 10049115354907453191 \, x^{6} - 1093374150915552911 \, x^{5} + 2168414620505808021 \, x^{4} + 198956183337105013 \, x^{3} - 227641579389617987 \, x^{2} - 28606444435892680 \, x + 3882779405827700\right)}\right)}\right)} \sqrt{3 \, \sqrt{13} + 13}\right)} \sqrt{\frac{52 \, x^{4} + 52 \, x^{3} - 13^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(\sqrt{13} \sqrt{2} {\left(x^{2} + 2 \, x - 1\right)} + \sqrt{2} {\left(5 \, x^{2} - 2 \, x - 5\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 52 \, x^{2} + \sqrt{13} {\left(17 \, x^{4} + 20 \, x^{3} - 26 \, x^{2} - 20 \, x + 17\right)} - 52 \, x + 52}{x^{4} + 2 \, x^{2} + 1}} + 293046 \, \sqrt{13} {\left(864908224669831 \, x^{24} + 10355522400887124 \, x^{23} - 17384091301118312 \, x^{22} - 126742456591014836 \, x^{21} + 22231314006511958 \, x^{20} + 520289532650388676 \, x^{19} + 298321626941299512 \, x^{18} - 528293883094391716 \, x^{17} - 389743086866628119 \, x^{16} - 210204858921706104 \, x^{15} - 266798576314259920 \, x^{14} + 975476535814976248 \, x^{13} + 761571647922735220 \, x^{12} - 975476535814976248 \, x^{11} - 266798576314259920 \, x^{10} + 210204858921706104 \, x^{9} - 389743086866628119 \, x^{8} + 528293883094391716 \, x^{7} + 298321626941299512 \, x^{6} - 520289532650388676 \, x^{5} + 22231314006511958 \, x^{4} + 126742456591014836 \, x^{3} - 17384091301118312 \, x^{2} - 10355522400887124 \, x + 864908224669831\right)} + 2344368 \, \sqrt{13} {\left(6297682684370 \, x^{24} - 199950327117651 \, x^{23} - 995766583461953 \, x^{22} + 3494940283605122 \, x^{21} + 11259696068148532 \, x^{20} - 11251123247802050 \, x^{19} - 43365133169916061 \, x^{18} - 7137738820792145 \, x^{17} + 29711549278992846 \, x^{16} + 14458141654548170 \, x^{15} + 42344219995051230 \, x^{14} + 6649866616815492 \, x^{13} - 85988445576305064 \, x^{12} - 6649866616815492 \, x^{11} + 42344219995051230 \, x^{10} - 14458141654548170 \, x^{9} + 29711549278992846 \, x^{8} + 7137738820792145 \, x^{7} - 43365133169916061 \, x^{6} + 11251123247802050 \, x^{5} + 11259696068148532 \, x^{4} - 3494940283605122 \, x^{3} - 995766583461953 \, x^{2} + \sqrt{13} {\left(20927774353570 \, x^{24} + 130384064414589 \, x^{23} - 1832539639466373 \, x^{22} - 378588130924562 \, x^{21} + 21380590264585528 \, x^{20} + 4744891377887298 \, x^{19} - 116038978593664721 \, x^{18} - 50745796110773153 \, x^{17} + 338872085186622574 \, x^{16} + 188797691491908298 \, x^{15} - 600518166018256810 \, x^{14} - 335968273816529348 \, x^{13} + 718884696204352368 \, x^{12} + 335968273816529348 \, x^{11} - 600518166018256810 \, x^{10} - 188797691491908298 \, x^{9} + 338872085186622574 \, x^{8} + 50745796110773153 \, x^{7} - 116038978593664721 \, x^{6} - 4744891377887298 \, x^{5} + 21380590264585528 \, x^{4} + 378588130924562 \, x^{3} - 1832539639466373 \, x^{2} - 130384064414589 \, x + 20927774353570\right)} + 199950327117651 \, x + 6297682684370\right)} - 4743900311019108485688 \, x + 303466516831856398098}{156 \, {\left(2619839878947519387 \, x^{24} + 56875992053837531104 \, x^{23} + 131959371237747999396 \, x^{22} - 2182804951517679993984 \, x^{21} - 834435940279923178058 \, x^{20} + 19080490944149866629376 \, x^{19} + 7572391123444752820884 \, x^{18} - 80627449581147817109984 \, x^{17} - 42572148062363848355915 \, x^{16} + 186546831575976527374656 \, x^{15} + 105848256468770974999240 \, x^{14} - 273413685733714921314176 \, x^{13} - 139929639991653442404876 \, x^{12} + 273413685733714921314176 \, x^{11} + 105848256468770974999240 \, x^{10} - 186546831575976527374656 \, x^{9} - 42572148062363848355915 \, x^{8} + 80627449581147817109984 \, x^{7} + 7572391123444752820884 \, x^{6} - 19080490944149866629376 \, x^{5} - 834435940279923178058 \, x^{4} + 2182804951517679993984 \, x^{3} + 131959371237747999396 \, x^{2} - 56875992053837531104 \, x + 2619839878947519387\right)}}\right) - \frac{1}{26} \cdot 13^{\frac{1}{4}} \sqrt{2} \sqrt{3 \, \sqrt{13} + 13} \arctan\left(\frac{303466516831856398098 \, x^{24} + 4743900311019108485688 \, x^{23} + 28233351478670402508912 \, x^{22} - 72199824668983318237944 \, x^{21} - 549945030052979141285484 \, x^{20} + 203866718260552713998424 \, x^{19} + 3538287727177039762376880 \, x^{18} + 1160844709036705056427752 \, x^{17} - 10483458261909001046283762 \, x^{16} - 5884323216790673562757200 \, x^{15} + 18321648976655814996172512 \, x^{14} + 10935511024932688162387536 \, x^{13} - 21815129887942114408252776 \, x^{12} - 10935511024932688162387536 \, x^{11} + 18321648976655814996172512 \, x^{10} + 5884323216790673562757200 \, x^{9} - 10483458261909001046283762 \, x^{8} - 1160844709036705056427752 \, x^{7} + 3538287727177039762376880 \, x^{6} - 203866718260552713998424 \, x^{5} - 549945030052979141285484 \, x^{4} + 72199824668983318237944 \, x^{3} + 28233351478670402508912 \, x^{2} - 22542 \, \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(13^{\frac{3}{4}} {\left(\sqrt{13} \sqrt{2} {\left(438032817640345 \, x^{22} + 4766023804643608 \, x^{21} - 22651687495355451 \, x^{20} - 73226949981951792 \, x^{19} + 201895053539000295 \, x^{18} + 581246457201440152 \, x^{17} - 688323719968941789 \, x^{16} - 2375828481503141120 \, x^{15} + 835564914755102394 \, x^{14} + 4875744719966576976 \, x^{13} - 518955383785839278 \, x^{12} - 6081767361973499808 \, x^{11} + 518955383785839278 \, x^{10} + 4875744719966576976 \, x^{9} - 835564914755102394 \, x^{8} - 2375828481503141120 \, x^{7} + 688323719968941789 \, x^{6} + 581246457201440152 \, x^{5} - 201895053539000295 \, x^{4} - 73226949981951792 \, x^{3} + 22651687495355451 \, x^{2} + 4766023804643608 \, x - 438032817640345\right)} - 13 \, \sqrt{2} {\left(70613291210443 \, x^{22} + 1163654076309028 \, x^{21} - 1583310499286865 \, x^{20} - 22882269559286984 \, x^{19} + 6676964780514997 \, x^{18} + 174966322381689396 \, x^{17} + 44249933486799049 \, x^{16} - 651769703746318880 \, x^{15} - 361386944352761330 \, x^{14} + 1257983237200889768 \, x^{13} + 764225260716326422 \, x^{12} - 1534892168387514928 \, x^{11} - 764225260716326422 \, x^{10} + 1257983237200889768 \, x^{9} + 361386944352761330 \, x^{8} - 651769703746318880 \, x^{7} - 44249933486799049 \, x^{6} + 174966322381689396 \, x^{5} - 6676964780514997 \, x^{4} - 22882269559286984 \, x^{3} + 1583310499286865 \, x^{2} + 1163654076309028 \, x - 70613291210443\right)}\right)} + 208 \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} {\left(4692636395300 \, x^{22} + 21025698352120 \, x^{21} - 509873403724003 \, x^{20} + 1198066536193627 \, x^{19} + 3315357795152678 \, x^{18} - 10114246161224222 \, x^{17} - 11088440456053169 \, x^{16} + 37159592182761664 \, x^{15} + 22839711859751903 \, x^{14} - 80081392708755290 \, x^{13} - 34837626972977603 \, x^{12} + 102461865113616074 \, x^{11} + 34837626972977603 \, x^{10} - 80081392708755290 \, x^{9} - 22839711859751903 \, x^{8} + 37159592182761664 \, x^{7} + 11088440456053169 \, x^{6} - 10114246161224222 \, x^{5} - 3315357795152678 \, x^{4} + 1198066536193627 \, x^{3} + 509873403724003 \, x^{2} + 21025698352120 \, x - 4692636395300\right)} - \sqrt{2} {\left(5887397593700 \, x^{22} + 48235726154280 \, x^{21} - 789276041251667 \, x^{20} + 3219073445078935 \, x^{19} + 987154599751170 \, x^{18} - 30671562330634130 \, x^{17} + 14799842775240331 \, x^{16} + 133701026987497176 \, x^{15} - 52507544684949429 \, x^{14} - 312813206043385494 \, x^{13} + 76214230101024249 \, x^{12} + 408248773019680034 \, x^{11} - 76214230101024249 \, x^{10} - 312813206043385494 \, x^{9} + 52507544684949429 \, x^{8} + 133701026987497176 \, x^{7} - 14799842775240331 \, x^{6} - 30671562330634130 \, x^{5} - 987154599751170 \, x^{4} + 3219073445078935 \, x^{3} + 789276041251667 \, x^{2} + 48235726154280 \, x - 5887397593700\right)}\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 17 \, \sqrt{13} {\left(8 \, {\left(1176400871054864000 \, x^{22} + 7687548786224798400 \, x^{21} - 69832722125408817120 \, x^{20} - 23339220413812524208 \, x^{19} + 562761972310677711728 \, x^{18} + 215247024424501074096 \, x^{17} - 2257653963476425070128 \, x^{16} - 1386968938773226680352 \, x^{15} + 4790605753830493069200 \, x^{14} + 3519045680546393583248 \, x^{13} - 6554503840828816558192 \, x^{12} - 4586127059160220899936 \, x^{11} + 6554503840828816558192 \, x^{10} + 3519045680546393583248 \, x^{9} - 4790605753830493069200 \, x^{8} - 1386968938773226680352 \, x^{7} + 2257653963476425070128 \, x^{6} + 215247024424501074096 \, x^{5} - 562761972310677711728 \, x^{4} - 23339220413812524208 \, x^{3} + 69832722125408817120 \, x^{2} + \sqrt{13} {\left(347413063094905990 \, x^{22} + 2574804143274222093 \, x^{21} - 18530451609856137822 \, x^{20} - 22081688459241438170 \, x^{19} + 171845528497503708406 \, x^{18} + 132215393354867446377 \, x^{17} - 750514342534298363294 \, x^{16} - 551029809556392223928 \, x^{15} + 1817527644069021398748 \, x^{14} + 1300271146740319620490 \, x^{13} - 2716824871550408597420 \, x^{12} - 1710848117433555567324 \, x^{11} + 2716824871550408597420 \, x^{10} + 1300271146740319620490 \, x^{9} - 1817527644069021398748 \, x^{8} - 551029809556392223928 \, x^{7} + 750514342534298363294 \, x^{6} + 132215393354867446377 \, x^{5} - 171845528497503708406 \, x^{4} - 22081688459241438170 \, x^{3} + 18530451609856137822 \, x^{2} + \sqrt{13} {\left(86119890640762790 \, x^{22} + 612895390416267933 \, x^{21} - 4335535920387511086 \, x^{20} - 5302468667138334250 \, x^{19} + 38587660384357338854 \, x^{18} + 30930979498708755225 \, x^{17} - 158845749790110352222 \, x^{16} - 119769067733058532408 \, x^{15} + 361880375640229546236 \, x^{14} + 254022661898659193930 \, x^{13} - 531382608639111111148 \, x^{12} - 324162614012386926396 \, x^{11} + 531382608639111111148 \, x^{10} + 254022661898659193930 \, x^{9} - 361880375640229546236 \, x^{8} - 119769067733058532408 \, x^{7} + 158845749790110352222 \, x^{6} + 30930979498708755225 \, x^{5} - 38587660384357338854 \, x^{4} - 5302468667138334250 \, x^{3} + 4335535920387511086 \, x^{2} + 612895390416267933 \, x - 86119890640762790\right)} + 2574804143274222093 \, x - 347413063094905990\right)} + 781456 \, \sqrt{13} {\left(392642047000 \, x^{22} + 2668947743700 \, x^{21} - 21551606454210 \, x^{20} - 25391634979349 \, x^{19} + 216431774913673 \, x^{18} + 165124287185685 \, x^{17} - 975636855722909 \, x^{16} - 730292496271070 \, x^{15} + 2323352136214791 \, x^{14} + 1661364413033911 \, x^{13} - 3469542924856697 \, x^{12} - 2159192030142810 \, x^{11} + 3469542924856697 \, x^{10} + 1661364413033911 \, x^{9} - 2323352136214791 \, x^{8} - 730292496271070 \, x^{7} + 975636855722909 \, x^{6} + 165124287185685 \, x^{5} - 216431774913673 \, x^{4} - 25391634979349 \, x^{3} + 21551606454210 \, x^{2} + 2668947743700 \, x - 392642047000\right)} + 7687548786224798400 \, x - 1176400871054864000\right)} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} - {\left(13^{\frac{3}{4}} {\left(\sqrt{13} \sqrt{2} {\left(42561667757632535 \, x^{24} + 257611512435675958 \, x^{23} - 2247750745977714788 \, x^{22} - 1814256247738761970 \, x^{21} + 24442437067776376590 \, x^{20} + 7434104308599750458 \, x^{19} - 133732529802419891028 \, x^{18} - 40377788940700833486 \, x^{17} + 424853244996735057401 \, x^{16} + 169970966197279445148 \, x^{15} - 792994393765633385544 \, x^{14} - 324292611472025875252 \, x^{13} + 965410860226389212612 \, x^{12} + 324292611472025875252 \, x^{11} - 792994393765633385544 \, x^{10} - 169970966197279445148 \, x^{9} + 424853244996735057401 \, x^{8} + 40377788940700833486 \, x^{7} - 133732529802419891028 \, x^{6} - 7434104308599750458 \, x^{5} + 24442437067776376590 \, x^{4} + 1814256247738761970 \, x^{3} - 2247750745977714788 \, x^{2} - 257611512435675958 \, x + 42561667757632535\right)} + \sqrt{2} {\left(255964917914376199 \, x^{24} + 2378265999782735342 \, x^{23} - 10723699406875401436 \, x^{22} - 34884403219165654778 \, x^{21} + 93953387409611786046 \, x^{20} + 253421004867879632674 \, x^{19} - 344419433727703157868 \, x^{18} - 1002660055585799007654 \, x^{17} + 598091993726342289097 \, x^{16} + 2206109898157584293772 \, x^{15} - 695096131692662787768 \, x^{14} - 3171896094005833352900 \, x^{13} + 694108138803077006308 \, x^{12} + 3171896094005833352900 \, x^{11} - 695096131692662787768 \, x^{10} - 2206109898157584293772 \, x^{9} + 598091993726342289097 \, x^{8} + 1002660055585799007654 \, x^{7} - 344419433727703157868 \, x^{6} - 253421004867879632674 \, x^{5} + 93953387409611786046 \, x^{4} + 34884403219165654778 \, x^{3} - 10723699406875401436 \, x^{2} - 2378265999782735342 \, x + 255964917914376199\right)}\right)} + 16 \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} {\left(10624231800639100 \, x^{24} + 80728789199165240 \, x^{23} - 453437665552960801 \, x^{22} - 1361343207830720927 \, x^{21} + 4509496134229422087 \, x^{20} + 11529111171725879005 \, x^{19} - 19238646913942275477 \, x^{18} - 53837830579514157270 \, x^{17} + 39389350688620333912 \, x^{16} + 138078999987416412018 \, x^{15} - 45152999655828310218 \, x^{14} - 212071343879066457860 \, x^{13} + 43690224455383154506 \, x^{12} + 212071343879066457860 \, x^{11} - 45152999655828310218 \, x^{10} - 138078999987416412018 \, x^{9} + 39389350688620333912 \, x^{8} + 53837830579514157270 \, x^{7} - 19238646913942275477 \, x^{6} - 11529111171725879005 \, x^{5} + 4509496134229422087 \, x^{4} + 1361343207830720927 \, x^{3} - 453437665552960801 \, x^{2} - 80728789199165240 \, x + 10624231800639100\right)} + 13 \, \sqrt{2} {\left(3882779405827700 \, x^{24} + 28606444435892680 \, x^{23} - 227641579389617987 \, x^{22} - 198956183337105013 \, x^{21} + 2168414620505808021 \, x^{20} + 1093374150915552911 \, x^{19} - 10049115354907453191 \, x^{18} - 4545138448499822946 \, x^{17} + 26948863273874260376 \, x^{16} + 10958614328214418326 \, x^{15} - 47994628464112587318 \, x^{14} - 17184519112020979516 \, x^{13} + 57842201375545723838 \, x^{12} + 17184519112020979516 \, x^{11} - 47994628464112587318 \, x^{10} - 10958614328214418326 \, x^{9} + 26948863273874260376 \, x^{8} + 4545138448499822946 \, x^{7} - 10049115354907453191 \, x^{6} - 1093374150915552911 \, x^{5} + 2168414620505808021 \, x^{4} + 198956183337105013 \, x^{3} - 227641579389617987 \, x^{2} - 28606444435892680 \, x + 3882779405827700\right)}\right)}\right)} \sqrt{3 \, \sqrt{13} + 13}\right)} \sqrt{\frac{52 \, x^{4} + 52 \, x^{3} + 13^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(\sqrt{13} \sqrt{2} {\left(x^{2} + 2 \, x - 1\right)} + \sqrt{2} {\left(5 \, x^{2} - 2 \, x - 5\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 52 \, x^{2} + \sqrt{13} {\left(17 \, x^{4} + 20 \, x^{3} - 26 \, x^{2} - 20 \, x + 17\right)} - 52 \, x + 52}{x^{4} + 2 \, x^{2} + 1}} + 293046 \, \sqrt{13} {\left(864908224669831 \, x^{24} + 10355522400887124 \, x^{23} - 17384091301118312 \, x^{22} - 126742456591014836 \, x^{21} + 22231314006511958 \, x^{20} + 520289532650388676 \, x^{19} + 298321626941299512 \, x^{18} - 528293883094391716 \, x^{17} - 389743086866628119 \, x^{16} - 210204858921706104 \, x^{15} - 266798576314259920 \, x^{14} + 975476535814976248 \, x^{13} + 761571647922735220 \, x^{12} - 975476535814976248 \, x^{11} - 266798576314259920 \, x^{10} + 210204858921706104 \, x^{9} - 389743086866628119 \, x^{8} + 528293883094391716 \, x^{7} + 298321626941299512 \, x^{6} - 520289532650388676 \, x^{5} + 22231314006511958 \, x^{4} + 126742456591014836 \, x^{3} - 17384091301118312 \, x^{2} - 10355522400887124 \, x + 864908224669831\right)} + 2344368 \, \sqrt{13} {\left(6297682684370 \, x^{24} - 199950327117651 \, x^{23} - 995766583461953 \, x^{22} + 3494940283605122 \, x^{21} + 11259696068148532 \, x^{20} - 11251123247802050 \, x^{19} - 43365133169916061 \, x^{18} - 7137738820792145 \, x^{17} + 29711549278992846 \, x^{16} + 14458141654548170 \, x^{15} + 42344219995051230 \, x^{14} + 6649866616815492 \, x^{13} - 85988445576305064 \, x^{12} - 6649866616815492 \, x^{11} + 42344219995051230 \, x^{10} - 14458141654548170 \, x^{9} + 29711549278992846 \, x^{8} + 7137738820792145 \, x^{7} - 43365133169916061 \, x^{6} + 11251123247802050 \, x^{5} + 11259696068148532 \, x^{4} - 3494940283605122 \, x^{3} - 995766583461953 \, x^{2} + \sqrt{13} {\left(20927774353570 \, x^{24} + 130384064414589 \, x^{23} - 1832539639466373 \, x^{22} - 378588130924562 \, x^{21} + 21380590264585528 \, x^{20} + 4744891377887298 \, x^{19} - 116038978593664721 \, x^{18} - 50745796110773153 \, x^{17} + 338872085186622574 \, x^{16} + 188797691491908298 \, x^{15} - 600518166018256810 \, x^{14} - 335968273816529348 \, x^{13} + 718884696204352368 \, x^{12} + 335968273816529348 \, x^{11} - 600518166018256810 \, x^{10} - 188797691491908298 \, x^{9} + 338872085186622574 \, x^{8} + 50745796110773153 \, x^{7} - 116038978593664721 \, x^{6} - 4744891377887298 \, x^{5} + 21380590264585528 \, x^{4} + 378588130924562 \, x^{3} - 1832539639466373 \, x^{2} - 130384064414589 \, x + 20927774353570\right)} + 199950327117651 \, x + 6297682684370\right)} - 4743900311019108485688 \, x + 303466516831856398098}{156 \, {\left(2619839878947519387 \, x^{24} + 56875992053837531104 \, x^{23} + 131959371237747999396 \, x^{22} - 2182804951517679993984 \, x^{21} - 834435940279923178058 \, x^{20} + 19080490944149866629376 \, x^{19} + 7572391123444752820884 \, x^{18} - 80627449581147817109984 \, x^{17} - 42572148062363848355915 \, x^{16} + 186546831575976527374656 \, x^{15} + 105848256468770974999240 \, x^{14} - 273413685733714921314176 \, x^{13} - 139929639991653442404876 \, x^{12} + 273413685733714921314176 \, x^{11} + 105848256468770974999240 \, x^{10} - 186546831575976527374656 \, x^{9} - 42572148062363848355915 \, x^{8} + 80627449581147817109984 \, x^{7} + 7572391123444752820884 \, x^{6} - 19080490944149866629376 \, x^{5} - 834435940279923178058 \, x^{4} + 2182804951517679993984 \, x^{3} + 131959371237747999396 \, x^{2} - 56875992053837531104 \, x + 2619839878947519387\right)}}\right)"," ",0,"-1/208*13^(1/4)*(sqrt(13)*sqrt(2) - 3*sqrt(2))*sqrt(3*sqrt(13) + 13)*log(2539732*(52*x^4 + 52*x^3 + 13^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(sqrt(13)*sqrt(2)*(x^2 + 2*x - 1) + sqrt(2)*(5*x^2 - 2*x - 5))*sqrt(3*sqrt(13) + 13) - 52*x^2 + sqrt(13)*(17*x^4 + 20*x^3 - 26*x^2 - 20*x + 17) - 52*x + 52)/(x^4 + 2*x^2 + 1)) + 1/208*13^(1/4)*(sqrt(13)*sqrt(2) - 3*sqrt(2))*sqrt(3*sqrt(13) + 13)*log(2539732*(52*x^4 + 52*x^3 - 13^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(sqrt(13)*sqrt(2)*(x^2 + 2*x - 1) + sqrt(2)*(5*x^2 - 2*x - 5))*sqrt(3*sqrt(13) + 13) - 52*x^2 + sqrt(13)*(17*x^4 + 20*x^3 - 26*x^2 - 20*x + 17) - 52*x + 52)/(x^4 + 2*x^2 + 1)) - 1/26*13^(1/4)*sqrt(2)*sqrt(3*sqrt(13) + 13)*arctan(-1/156*(303466516831856398098*x^24 + 4743900311019108485688*x^23 + 28233351478670402508912*x^22 - 72199824668983318237944*x^21 - 549945030052979141285484*x^20 + 203866718260552713998424*x^19 + 3538287727177039762376880*x^18 + 1160844709036705056427752*x^17 - 10483458261909001046283762*x^16 - 5884323216790673562757200*x^15 + 18321648976655814996172512*x^14 + 10935511024932688162387536*x^13 - 21815129887942114408252776*x^12 - 10935511024932688162387536*x^11 + 18321648976655814996172512*x^10 + 5884323216790673562757200*x^9 - 10483458261909001046283762*x^8 - 1160844709036705056427752*x^7 + 3538287727177039762376880*x^6 - 203866718260552713998424*x^5 - 549945030052979141285484*x^4 + 72199824668983318237944*x^3 + 28233351478670402508912*x^2 + 22542*sqrt(x^4 + x^3 - x^2 - x + 1)*(13^(3/4)*(sqrt(13)*sqrt(2)*(438032817640345*x^22 + 4766023804643608*x^21 - 22651687495355451*x^20 - 73226949981951792*x^19 + 201895053539000295*x^18 + 581246457201440152*x^17 - 688323719968941789*x^16 - 2375828481503141120*x^15 + 835564914755102394*x^14 + 4875744719966576976*x^13 - 518955383785839278*x^12 - 6081767361973499808*x^11 + 518955383785839278*x^10 + 4875744719966576976*x^9 - 835564914755102394*x^8 - 2375828481503141120*x^7 + 688323719968941789*x^6 + 581246457201440152*x^5 - 201895053539000295*x^4 - 73226949981951792*x^3 + 22651687495355451*x^2 + 4766023804643608*x - 438032817640345) - 13*sqrt(2)*(70613291210443*x^22 + 1163654076309028*x^21 - 1583310499286865*x^20 - 22882269559286984*x^19 + 6676964780514997*x^18 + 174966322381689396*x^17 + 44249933486799049*x^16 - 651769703746318880*x^15 - 361386944352761330*x^14 + 1257983237200889768*x^13 + 764225260716326422*x^12 - 1534892168387514928*x^11 - 764225260716326422*x^10 + 1257983237200889768*x^9 + 361386944352761330*x^8 - 651769703746318880*x^7 - 44249933486799049*x^6 + 174966322381689396*x^5 - 6676964780514997*x^4 - 22882269559286984*x^3 + 1583310499286865*x^2 + 1163654076309028*x - 70613291210443)) + 208*13^(1/4)*(sqrt(13)*sqrt(2)*(4692636395300*x^22 + 21025698352120*x^21 - 509873403724003*x^20 + 1198066536193627*x^19 + 3315357795152678*x^18 - 10114246161224222*x^17 - 11088440456053169*x^16 + 37159592182761664*x^15 + 22839711859751903*x^14 - 80081392708755290*x^13 - 34837626972977603*x^12 + 102461865113616074*x^11 + 34837626972977603*x^10 - 80081392708755290*x^9 - 22839711859751903*x^8 + 37159592182761664*x^7 + 11088440456053169*x^6 - 10114246161224222*x^5 - 3315357795152678*x^4 + 1198066536193627*x^3 + 509873403724003*x^2 + 21025698352120*x - 4692636395300) - sqrt(2)*(5887397593700*x^22 + 48235726154280*x^21 - 789276041251667*x^20 + 3219073445078935*x^19 + 987154599751170*x^18 - 30671562330634130*x^17 + 14799842775240331*x^16 + 133701026987497176*x^15 - 52507544684949429*x^14 - 312813206043385494*x^13 + 76214230101024249*x^12 + 408248773019680034*x^11 - 76214230101024249*x^10 - 312813206043385494*x^9 + 52507544684949429*x^8 + 133701026987497176*x^7 - 14799842775240331*x^6 - 30671562330634130*x^5 - 987154599751170*x^4 + 3219073445078935*x^3 + 789276041251667*x^2 + 48235726154280*x - 5887397593700)))*sqrt(3*sqrt(13) + 13) - 17*sqrt(13)*(8*(1176400871054864000*x^22 + 7687548786224798400*x^21 - 69832722125408817120*x^20 - 23339220413812524208*x^19 + 562761972310677711728*x^18 + 215247024424501074096*x^17 - 2257653963476425070128*x^16 - 1386968938773226680352*x^15 + 4790605753830493069200*x^14 + 3519045680546393583248*x^13 - 6554503840828816558192*x^12 - 4586127059160220899936*x^11 + 6554503840828816558192*x^10 + 3519045680546393583248*x^9 - 4790605753830493069200*x^8 - 1386968938773226680352*x^7 + 2257653963476425070128*x^6 + 215247024424501074096*x^5 - 562761972310677711728*x^4 - 23339220413812524208*x^3 + 69832722125408817120*x^2 + sqrt(13)*(347413063094905990*x^22 + 2574804143274222093*x^21 - 18530451609856137822*x^20 - 22081688459241438170*x^19 + 171845528497503708406*x^18 + 132215393354867446377*x^17 - 750514342534298363294*x^16 - 551029809556392223928*x^15 + 1817527644069021398748*x^14 + 1300271146740319620490*x^13 - 2716824871550408597420*x^12 - 1710848117433555567324*x^11 + 2716824871550408597420*x^10 + 1300271146740319620490*x^9 - 1817527644069021398748*x^8 - 551029809556392223928*x^7 + 750514342534298363294*x^6 + 132215393354867446377*x^5 - 171845528497503708406*x^4 - 22081688459241438170*x^3 + 18530451609856137822*x^2 + sqrt(13)*(86119890640762790*x^22 + 612895390416267933*x^21 - 4335535920387511086*x^20 - 5302468667138334250*x^19 + 38587660384357338854*x^18 + 30930979498708755225*x^17 - 158845749790110352222*x^16 - 119769067733058532408*x^15 + 361880375640229546236*x^14 + 254022661898659193930*x^13 - 531382608639111111148*x^12 - 324162614012386926396*x^11 + 531382608639111111148*x^10 + 254022661898659193930*x^9 - 361880375640229546236*x^8 - 119769067733058532408*x^7 + 158845749790110352222*x^6 + 30930979498708755225*x^5 - 38587660384357338854*x^4 - 5302468667138334250*x^3 + 4335535920387511086*x^2 + 612895390416267933*x - 86119890640762790) + 2574804143274222093*x - 347413063094905990) + 781456*sqrt(13)*(392642047000*x^22 + 2668947743700*x^21 - 21551606454210*x^20 - 25391634979349*x^19 + 216431774913673*x^18 + 165124287185685*x^17 - 975636855722909*x^16 - 730292496271070*x^15 + 2323352136214791*x^14 + 1661364413033911*x^13 - 3469542924856697*x^12 - 2159192030142810*x^11 + 3469542924856697*x^10 + 1661364413033911*x^9 - 2323352136214791*x^8 - 730292496271070*x^7 + 975636855722909*x^6 + 165124287185685*x^5 - 216431774913673*x^4 - 25391634979349*x^3 + 21551606454210*x^2 + 2668947743700*x - 392642047000) + 7687548786224798400*x - 1176400871054864000)*sqrt(x^4 + x^3 - x^2 - x + 1) + (13^(3/4)*(sqrt(13)*sqrt(2)*(42561667757632535*x^24 + 257611512435675958*x^23 - 2247750745977714788*x^22 - 1814256247738761970*x^21 + 24442437067776376590*x^20 + 7434104308599750458*x^19 - 133732529802419891028*x^18 - 40377788940700833486*x^17 + 424853244996735057401*x^16 + 169970966197279445148*x^15 - 792994393765633385544*x^14 - 324292611472025875252*x^13 + 965410860226389212612*x^12 + 324292611472025875252*x^11 - 792994393765633385544*x^10 - 169970966197279445148*x^9 + 424853244996735057401*x^8 + 40377788940700833486*x^7 - 133732529802419891028*x^6 - 7434104308599750458*x^5 + 24442437067776376590*x^4 + 1814256247738761970*x^3 - 2247750745977714788*x^2 - 257611512435675958*x + 42561667757632535) + sqrt(2)*(255964917914376199*x^24 + 2378265999782735342*x^23 - 10723699406875401436*x^22 - 34884403219165654778*x^21 + 93953387409611786046*x^20 + 253421004867879632674*x^19 - 344419433727703157868*x^18 - 1002660055585799007654*x^17 + 598091993726342289097*x^16 + 2206109898157584293772*x^15 - 695096131692662787768*x^14 - 3171896094005833352900*x^13 + 694108138803077006308*x^12 + 3171896094005833352900*x^11 - 695096131692662787768*x^10 - 2206109898157584293772*x^9 + 598091993726342289097*x^8 + 1002660055585799007654*x^7 - 344419433727703157868*x^6 - 253421004867879632674*x^5 + 93953387409611786046*x^4 + 34884403219165654778*x^3 - 10723699406875401436*x^2 - 2378265999782735342*x + 255964917914376199)) + 16*13^(1/4)*(sqrt(13)*sqrt(2)*(10624231800639100*x^24 + 80728789199165240*x^23 - 453437665552960801*x^22 - 1361343207830720927*x^21 + 4509496134229422087*x^20 + 11529111171725879005*x^19 - 19238646913942275477*x^18 - 53837830579514157270*x^17 + 39389350688620333912*x^16 + 138078999987416412018*x^15 - 45152999655828310218*x^14 - 212071343879066457860*x^13 + 43690224455383154506*x^12 + 212071343879066457860*x^11 - 45152999655828310218*x^10 - 138078999987416412018*x^9 + 39389350688620333912*x^8 + 53837830579514157270*x^7 - 19238646913942275477*x^6 - 11529111171725879005*x^5 + 4509496134229422087*x^4 + 1361343207830720927*x^3 - 453437665552960801*x^2 - 80728789199165240*x + 10624231800639100) + 13*sqrt(2)*(3882779405827700*x^24 + 28606444435892680*x^23 - 227641579389617987*x^22 - 198956183337105013*x^21 + 2168414620505808021*x^20 + 1093374150915552911*x^19 - 10049115354907453191*x^18 - 4545138448499822946*x^17 + 26948863273874260376*x^16 + 10958614328214418326*x^15 - 47994628464112587318*x^14 - 17184519112020979516*x^13 + 57842201375545723838*x^12 + 17184519112020979516*x^11 - 47994628464112587318*x^10 - 10958614328214418326*x^9 + 26948863273874260376*x^8 + 4545138448499822946*x^7 - 10049115354907453191*x^6 - 1093374150915552911*x^5 + 2168414620505808021*x^4 + 198956183337105013*x^3 - 227641579389617987*x^2 - 28606444435892680*x + 3882779405827700)))*sqrt(3*sqrt(13) + 13))*sqrt((52*x^4 + 52*x^3 - 13^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(sqrt(13)*sqrt(2)*(x^2 + 2*x - 1) + sqrt(2)*(5*x^2 - 2*x - 5))*sqrt(3*sqrt(13) + 13) - 52*x^2 + sqrt(13)*(17*x^4 + 20*x^3 - 26*x^2 - 20*x + 17) - 52*x + 52)/(x^4 + 2*x^2 + 1)) + 293046*sqrt(13)*(864908224669831*x^24 + 10355522400887124*x^23 - 17384091301118312*x^22 - 126742456591014836*x^21 + 22231314006511958*x^20 + 520289532650388676*x^19 + 298321626941299512*x^18 - 528293883094391716*x^17 - 389743086866628119*x^16 - 210204858921706104*x^15 - 266798576314259920*x^14 + 975476535814976248*x^13 + 761571647922735220*x^12 - 975476535814976248*x^11 - 266798576314259920*x^10 + 210204858921706104*x^9 - 389743086866628119*x^8 + 528293883094391716*x^7 + 298321626941299512*x^6 - 520289532650388676*x^5 + 22231314006511958*x^4 + 126742456591014836*x^3 - 17384091301118312*x^2 - 10355522400887124*x + 864908224669831) + 2344368*sqrt(13)*(6297682684370*x^24 - 199950327117651*x^23 - 995766583461953*x^22 + 3494940283605122*x^21 + 11259696068148532*x^20 - 11251123247802050*x^19 - 43365133169916061*x^18 - 7137738820792145*x^17 + 29711549278992846*x^16 + 14458141654548170*x^15 + 42344219995051230*x^14 + 6649866616815492*x^13 - 85988445576305064*x^12 - 6649866616815492*x^11 + 42344219995051230*x^10 - 14458141654548170*x^9 + 29711549278992846*x^8 + 7137738820792145*x^7 - 43365133169916061*x^6 + 11251123247802050*x^5 + 11259696068148532*x^4 - 3494940283605122*x^3 - 995766583461953*x^2 + sqrt(13)*(20927774353570*x^24 + 130384064414589*x^23 - 1832539639466373*x^22 - 378588130924562*x^21 + 21380590264585528*x^20 + 4744891377887298*x^19 - 116038978593664721*x^18 - 50745796110773153*x^17 + 338872085186622574*x^16 + 188797691491908298*x^15 - 600518166018256810*x^14 - 335968273816529348*x^13 + 718884696204352368*x^12 + 335968273816529348*x^11 - 600518166018256810*x^10 - 188797691491908298*x^9 + 338872085186622574*x^8 + 50745796110773153*x^7 - 116038978593664721*x^6 - 4744891377887298*x^5 + 21380590264585528*x^4 + 378588130924562*x^3 - 1832539639466373*x^2 - 130384064414589*x + 20927774353570) + 199950327117651*x + 6297682684370) - 4743900311019108485688*x + 303466516831856398098)/(2619839878947519387*x^24 + 56875992053837531104*x^23 + 131959371237747999396*x^22 - 2182804951517679993984*x^21 - 834435940279923178058*x^20 + 19080490944149866629376*x^19 + 7572391123444752820884*x^18 - 80627449581147817109984*x^17 - 42572148062363848355915*x^16 + 186546831575976527374656*x^15 + 105848256468770974999240*x^14 - 273413685733714921314176*x^13 - 139929639991653442404876*x^12 + 273413685733714921314176*x^11 + 105848256468770974999240*x^10 - 186546831575976527374656*x^9 - 42572148062363848355915*x^8 + 80627449581147817109984*x^7 + 7572391123444752820884*x^6 - 19080490944149866629376*x^5 - 834435940279923178058*x^4 + 2182804951517679993984*x^3 + 131959371237747999396*x^2 - 56875992053837531104*x + 2619839878947519387)) - 1/26*13^(1/4)*sqrt(2)*sqrt(3*sqrt(13) + 13)*arctan(1/156*(303466516831856398098*x^24 + 4743900311019108485688*x^23 + 28233351478670402508912*x^22 - 72199824668983318237944*x^21 - 549945030052979141285484*x^20 + 203866718260552713998424*x^19 + 3538287727177039762376880*x^18 + 1160844709036705056427752*x^17 - 10483458261909001046283762*x^16 - 5884323216790673562757200*x^15 + 18321648976655814996172512*x^14 + 10935511024932688162387536*x^13 - 21815129887942114408252776*x^12 - 10935511024932688162387536*x^11 + 18321648976655814996172512*x^10 + 5884323216790673562757200*x^9 - 10483458261909001046283762*x^8 - 1160844709036705056427752*x^7 + 3538287727177039762376880*x^6 - 203866718260552713998424*x^5 - 549945030052979141285484*x^4 + 72199824668983318237944*x^3 + 28233351478670402508912*x^2 - 22542*sqrt(x^4 + x^3 - x^2 - x + 1)*(13^(3/4)*(sqrt(13)*sqrt(2)*(438032817640345*x^22 + 4766023804643608*x^21 - 22651687495355451*x^20 - 73226949981951792*x^19 + 201895053539000295*x^18 + 581246457201440152*x^17 - 688323719968941789*x^16 - 2375828481503141120*x^15 + 835564914755102394*x^14 + 4875744719966576976*x^13 - 518955383785839278*x^12 - 6081767361973499808*x^11 + 518955383785839278*x^10 + 4875744719966576976*x^9 - 835564914755102394*x^8 - 2375828481503141120*x^7 + 688323719968941789*x^6 + 581246457201440152*x^5 - 201895053539000295*x^4 - 73226949981951792*x^3 + 22651687495355451*x^2 + 4766023804643608*x - 438032817640345) - 13*sqrt(2)*(70613291210443*x^22 + 1163654076309028*x^21 - 1583310499286865*x^20 - 22882269559286984*x^19 + 6676964780514997*x^18 + 174966322381689396*x^17 + 44249933486799049*x^16 - 651769703746318880*x^15 - 361386944352761330*x^14 + 1257983237200889768*x^13 + 764225260716326422*x^12 - 1534892168387514928*x^11 - 764225260716326422*x^10 + 1257983237200889768*x^9 + 361386944352761330*x^8 - 651769703746318880*x^7 - 44249933486799049*x^6 + 174966322381689396*x^5 - 6676964780514997*x^4 - 22882269559286984*x^3 + 1583310499286865*x^2 + 1163654076309028*x - 70613291210443)) + 208*13^(1/4)*(sqrt(13)*sqrt(2)*(4692636395300*x^22 + 21025698352120*x^21 - 509873403724003*x^20 + 1198066536193627*x^19 + 3315357795152678*x^18 - 10114246161224222*x^17 - 11088440456053169*x^16 + 37159592182761664*x^15 + 22839711859751903*x^14 - 80081392708755290*x^13 - 34837626972977603*x^12 + 102461865113616074*x^11 + 34837626972977603*x^10 - 80081392708755290*x^9 - 22839711859751903*x^8 + 37159592182761664*x^7 + 11088440456053169*x^6 - 10114246161224222*x^5 - 3315357795152678*x^4 + 1198066536193627*x^3 + 509873403724003*x^2 + 21025698352120*x - 4692636395300) - sqrt(2)*(5887397593700*x^22 + 48235726154280*x^21 - 789276041251667*x^20 + 3219073445078935*x^19 + 987154599751170*x^18 - 30671562330634130*x^17 + 14799842775240331*x^16 + 133701026987497176*x^15 - 52507544684949429*x^14 - 312813206043385494*x^13 + 76214230101024249*x^12 + 408248773019680034*x^11 - 76214230101024249*x^10 - 312813206043385494*x^9 + 52507544684949429*x^8 + 133701026987497176*x^7 - 14799842775240331*x^6 - 30671562330634130*x^5 - 987154599751170*x^4 + 3219073445078935*x^3 + 789276041251667*x^2 + 48235726154280*x - 5887397593700)))*sqrt(3*sqrt(13) + 13) - 17*sqrt(13)*(8*(1176400871054864000*x^22 + 7687548786224798400*x^21 - 69832722125408817120*x^20 - 23339220413812524208*x^19 + 562761972310677711728*x^18 + 215247024424501074096*x^17 - 2257653963476425070128*x^16 - 1386968938773226680352*x^15 + 4790605753830493069200*x^14 + 3519045680546393583248*x^13 - 6554503840828816558192*x^12 - 4586127059160220899936*x^11 + 6554503840828816558192*x^10 + 3519045680546393583248*x^9 - 4790605753830493069200*x^8 - 1386968938773226680352*x^7 + 2257653963476425070128*x^6 + 215247024424501074096*x^5 - 562761972310677711728*x^4 - 23339220413812524208*x^3 + 69832722125408817120*x^2 + sqrt(13)*(347413063094905990*x^22 + 2574804143274222093*x^21 - 18530451609856137822*x^20 - 22081688459241438170*x^19 + 171845528497503708406*x^18 + 132215393354867446377*x^17 - 750514342534298363294*x^16 - 551029809556392223928*x^15 + 1817527644069021398748*x^14 + 1300271146740319620490*x^13 - 2716824871550408597420*x^12 - 1710848117433555567324*x^11 + 2716824871550408597420*x^10 + 1300271146740319620490*x^9 - 1817527644069021398748*x^8 - 551029809556392223928*x^7 + 750514342534298363294*x^6 + 132215393354867446377*x^5 - 171845528497503708406*x^4 - 22081688459241438170*x^3 + 18530451609856137822*x^2 + sqrt(13)*(86119890640762790*x^22 + 612895390416267933*x^21 - 4335535920387511086*x^20 - 5302468667138334250*x^19 + 38587660384357338854*x^18 + 30930979498708755225*x^17 - 158845749790110352222*x^16 - 119769067733058532408*x^15 + 361880375640229546236*x^14 + 254022661898659193930*x^13 - 531382608639111111148*x^12 - 324162614012386926396*x^11 + 531382608639111111148*x^10 + 254022661898659193930*x^9 - 361880375640229546236*x^8 - 119769067733058532408*x^7 + 158845749790110352222*x^6 + 30930979498708755225*x^5 - 38587660384357338854*x^4 - 5302468667138334250*x^3 + 4335535920387511086*x^2 + 612895390416267933*x - 86119890640762790) + 2574804143274222093*x - 347413063094905990) + 781456*sqrt(13)*(392642047000*x^22 + 2668947743700*x^21 - 21551606454210*x^20 - 25391634979349*x^19 + 216431774913673*x^18 + 165124287185685*x^17 - 975636855722909*x^16 - 730292496271070*x^15 + 2323352136214791*x^14 + 1661364413033911*x^13 - 3469542924856697*x^12 - 2159192030142810*x^11 + 3469542924856697*x^10 + 1661364413033911*x^9 - 2323352136214791*x^8 - 730292496271070*x^7 + 975636855722909*x^6 + 165124287185685*x^5 - 216431774913673*x^4 - 25391634979349*x^3 + 21551606454210*x^2 + 2668947743700*x - 392642047000) + 7687548786224798400*x - 1176400871054864000)*sqrt(x^4 + x^3 - x^2 - x + 1) - (13^(3/4)*(sqrt(13)*sqrt(2)*(42561667757632535*x^24 + 257611512435675958*x^23 - 2247750745977714788*x^22 - 1814256247738761970*x^21 + 24442437067776376590*x^20 + 7434104308599750458*x^19 - 133732529802419891028*x^18 - 40377788940700833486*x^17 + 424853244996735057401*x^16 + 169970966197279445148*x^15 - 792994393765633385544*x^14 - 324292611472025875252*x^13 + 965410860226389212612*x^12 + 324292611472025875252*x^11 - 792994393765633385544*x^10 - 169970966197279445148*x^9 + 424853244996735057401*x^8 + 40377788940700833486*x^7 - 133732529802419891028*x^6 - 7434104308599750458*x^5 + 24442437067776376590*x^4 + 1814256247738761970*x^3 - 2247750745977714788*x^2 - 257611512435675958*x + 42561667757632535) + sqrt(2)*(255964917914376199*x^24 + 2378265999782735342*x^23 - 10723699406875401436*x^22 - 34884403219165654778*x^21 + 93953387409611786046*x^20 + 253421004867879632674*x^19 - 344419433727703157868*x^18 - 1002660055585799007654*x^17 + 598091993726342289097*x^16 + 2206109898157584293772*x^15 - 695096131692662787768*x^14 - 3171896094005833352900*x^13 + 694108138803077006308*x^12 + 3171896094005833352900*x^11 - 695096131692662787768*x^10 - 2206109898157584293772*x^9 + 598091993726342289097*x^8 + 1002660055585799007654*x^7 - 344419433727703157868*x^6 - 253421004867879632674*x^5 + 93953387409611786046*x^4 + 34884403219165654778*x^3 - 10723699406875401436*x^2 - 2378265999782735342*x + 255964917914376199)) + 16*13^(1/4)*(sqrt(13)*sqrt(2)*(10624231800639100*x^24 + 80728789199165240*x^23 - 453437665552960801*x^22 - 1361343207830720927*x^21 + 4509496134229422087*x^20 + 11529111171725879005*x^19 - 19238646913942275477*x^18 - 53837830579514157270*x^17 + 39389350688620333912*x^16 + 138078999987416412018*x^15 - 45152999655828310218*x^14 - 212071343879066457860*x^13 + 43690224455383154506*x^12 + 212071343879066457860*x^11 - 45152999655828310218*x^10 - 138078999987416412018*x^9 + 39389350688620333912*x^8 + 53837830579514157270*x^7 - 19238646913942275477*x^6 - 11529111171725879005*x^5 + 4509496134229422087*x^4 + 1361343207830720927*x^3 - 453437665552960801*x^2 - 80728789199165240*x + 10624231800639100) + 13*sqrt(2)*(3882779405827700*x^24 + 28606444435892680*x^23 - 227641579389617987*x^22 - 198956183337105013*x^21 + 2168414620505808021*x^20 + 1093374150915552911*x^19 - 10049115354907453191*x^18 - 4545138448499822946*x^17 + 26948863273874260376*x^16 + 10958614328214418326*x^15 - 47994628464112587318*x^14 - 17184519112020979516*x^13 + 57842201375545723838*x^12 + 17184519112020979516*x^11 - 47994628464112587318*x^10 - 10958614328214418326*x^9 + 26948863273874260376*x^8 + 4545138448499822946*x^7 - 10049115354907453191*x^6 - 1093374150915552911*x^5 + 2168414620505808021*x^4 + 198956183337105013*x^3 - 227641579389617987*x^2 - 28606444435892680*x + 3882779405827700)))*sqrt(3*sqrt(13) + 13))*sqrt((52*x^4 + 52*x^3 + 13^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(sqrt(13)*sqrt(2)*(x^2 + 2*x - 1) + sqrt(2)*(5*x^2 - 2*x - 5))*sqrt(3*sqrt(13) + 13) - 52*x^2 + sqrt(13)*(17*x^4 + 20*x^3 - 26*x^2 - 20*x + 17) - 52*x + 52)/(x^4 + 2*x^2 + 1)) + 293046*sqrt(13)*(864908224669831*x^24 + 10355522400887124*x^23 - 17384091301118312*x^22 - 126742456591014836*x^21 + 22231314006511958*x^20 + 520289532650388676*x^19 + 298321626941299512*x^18 - 528293883094391716*x^17 - 389743086866628119*x^16 - 210204858921706104*x^15 - 266798576314259920*x^14 + 975476535814976248*x^13 + 761571647922735220*x^12 - 975476535814976248*x^11 - 266798576314259920*x^10 + 210204858921706104*x^9 - 389743086866628119*x^8 + 528293883094391716*x^7 + 298321626941299512*x^6 - 520289532650388676*x^5 + 22231314006511958*x^4 + 126742456591014836*x^3 - 17384091301118312*x^2 - 10355522400887124*x + 864908224669831) + 2344368*sqrt(13)*(6297682684370*x^24 - 199950327117651*x^23 - 995766583461953*x^22 + 3494940283605122*x^21 + 11259696068148532*x^20 - 11251123247802050*x^19 - 43365133169916061*x^18 - 7137738820792145*x^17 + 29711549278992846*x^16 + 14458141654548170*x^15 + 42344219995051230*x^14 + 6649866616815492*x^13 - 85988445576305064*x^12 - 6649866616815492*x^11 + 42344219995051230*x^10 - 14458141654548170*x^9 + 29711549278992846*x^8 + 7137738820792145*x^7 - 43365133169916061*x^6 + 11251123247802050*x^5 + 11259696068148532*x^4 - 3494940283605122*x^3 - 995766583461953*x^2 + sqrt(13)*(20927774353570*x^24 + 130384064414589*x^23 - 1832539639466373*x^22 - 378588130924562*x^21 + 21380590264585528*x^20 + 4744891377887298*x^19 - 116038978593664721*x^18 - 50745796110773153*x^17 + 338872085186622574*x^16 + 188797691491908298*x^15 - 600518166018256810*x^14 - 335968273816529348*x^13 + 718884696204352368*x^12 + 335968273816529348*x^11 - 600518166018256810*x^10 - 188797691491908298*x^9 + 338872085186622574*x^8 + 50745796110773153*x^7 - 116038978593664721*x^6 - 4744891377887298*x^5 + 21380590264585528*x^4 + 378588130924562*x^3 - 1832539639466373*x^2 - 130384064414589*x + 20927774353570) + 199950327117651*x + 6297682684370) - 4743900311019108485688*x + 303466516831856398098)/(2619839878947519387*x^24 + 56875992053837531104*x^23 + 131959371237747999396*x^22 - 2182804951517679993984*x^21 - 834435940279923178058*x^20 + 19080490944149866629376*x^19 + 7572391123444752820884*x^18 - 80627449581147817109984*x^17 - 42572148062363848355915*x^16 + 186546831575976527374656*x^15 + 105848256468770974999240*x^14 - 273413685733714921314176*x^13 - 139929639991653442404876*x^12 + 273413685733714921314176*x^11 + 105848256468770974999240*x^10 - 186546831575976527374656*x^9 - 42572148062363848355915*x^8 + 80627449581147817109984*x^7 + 7572391123444752820884*x^6 - 19080490944149866629376*x^5 - 834435940279923178058*x^4 + 2182804951517679993984*x^3 + 131959371237747999396*x^2 - 56875992053837531104*x + 2619839878947519387))","B",0
1782,1,4804,0,2.899350," ","integrate((x^4-1)/(x^4+1)/(x^4+x^3-x^2-x+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{24} \cdot 3^{\frac{1}{4}} \sqrt{\sqrt{3} + 3} {\left(\sqrt{3} - 1\right)} \log\left(\frac{3 \, {\left(12 \, x^{4} + 12 \, x^{3} + 2 \cdot 3^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(3 \, x^{2} + \sqrt{3} {\left(x^{2} + 2 \, x - 1\right)} - 3\right)} \sqrt{\sqrt{3} + 3} - 12 \, x^{2} + 3 \, \sqrt{3} {\left(3 \, x^{4} + 4 \, x^{3} - 4 \, x^{2} - 4 \, x + 3\right)} - 12 \, x + 12\right)}}{x^{4} + 1}\right) + \frac{1}{24} \cdot 3^{\frac{1}{4}} \sqrt{\sqrt{3} + 3} {\left(\sqrt{3} - 1\right)} \log\left(\frac{3 \, {\left(12 \, x^{4} + 12 \, x^{3} - 2 \cdot 3^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(3 \, x^{2} + \sqrt{3} {\left(x^{2} + 2 \, x - 1\right)} - 3\right)} \sqrt{\sqrt{3} + 3} - 12 \, x^{2} + 3 \, \sqrt{3} {\left(3 \, x^{4} + 4 \, x^{3} - 4 \, x^{2} - 4 \, x + 3\right)} - 12 \, x + 12\right)}}{x^{4} + 1}\right) - \frac{1}{6} \cdot 3^{\frac{1}{4}} \sqrt{2} \sqrt{\sqrt{3} + 3} \arctan\left(\frac{27 \, \sqrt{3} \sqrt{2} {\left(7965 \, x^{24} - 86940 \, x^{23} - 452052 \, x^{22} + 26692 \, x^{21} + 2473150 \, x^{20} + 1471532 \, x^{19} - 6805092 \, x^{18} - 5527220 \, x^{17} + 12746227 \, x^{16} + 11019368 \, x^{15} - 18256392 \, x^{14} - 15014808 \, x^{13} + 20562084 \, x^{12} + 15014808 \, x^{11} - 18256392 \, x^{10} - 11019368 \, x^{9} + 12746227 \, x^{8} + 5527220 \, x^{7} - 6805092 \, x^{6} - 1471532 \, x^{5} + 2473150 \, x^{4} - 26692 \, x^{3} - 452052 \, x^{2} + 86940 \, x + 7965\right)} + 6 \, \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(3 \cdot 3^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(1251 \, x^{22} + 53118 \, x^{21} + 152273 \, x^{20} - 226152 \, x^{19} - 1135173 \, x^{18} + 64070 \, x^{17} + 3658401 \, x^{16} + 1370976 \, x^{15} - 7090226 \, x^{14} - 3772836 \, x^{13} + 9542874 \, x^{12} + 5019024 \, x^{11} - 9542874 \, x^{10} - 3772836 \, x^{9} + 7090226 \, x^{8} + 1370976 \, x^{7} - 3658401 \, x^{6} + 64070 \, x^{5} + 1135173 \, x^{4} - 226152 \, x^{3} - 152273 \, x^{2} + 53118 \, x - 1251\right)} - \sqrt{2} {\left(14373 \, x^{22} + 50208 \, x^{21} + 74455 \, x^{20} + 37936 \, x^{19} - 510931 \, x^{18} - 1380336 \, x^{17} + 818695 \, x^{16} + 5137984 \, x^{15} + 96914 \, x^{14} - 9942384 \, x^{13} - 1619802 \, x^{12} + 12190752 \, x^{11} + 1619802 \, x^{10} - 9942384 \, x^{9} - 96914 \, x^{8} + 5137984 \, x^{7} - 818695 \, x^{6} - 1380336 \, x^{5} + 510931 \, x^{4} + 37936 \, x^{3} - 74455 \, x^{2} + 50208 \, x - 14373\right)}\right)} + 16 \cdot 3^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(4028 \, x^{22} + 21940 \, x^{21} - 28445 \, x^{20} - 217872 \, x^{19} + 40111 \, x^{18} + 938897 \, x^{17} + 155918 \, x^{16} - 2366280 \, x^{15} - 698062 \, x^{14} + 3957631 \, x^{13} + 1245100 \, x^{12} - 4670064 \, x^{11} - 1245100 \, x^{10} + 3957631 \, x^{9} + 698062 \, x^{8} - 2366280 \, x^{7} - 155918 \, x^{6} + 938897 \, x^{5} - 40111 \, x^{4} - 217872 \, x^{3} + 28445 \, x^{2} + 21940 \, x - 4028\right)} - 3 \, \sqrt{2} {\left(3472 \, x^{22} + 8332 \, x^{21} - 32812 \, x^{20} - 80217 \, x^{19} + 150191 \, x^{18} + 366569 \, x^{17} - 418571 \, x^{16} - 1012572 \, x^{15} + 777121 \, x^{14} + 1821679 \, x^{13} - 1031713 \, x^{12} - 2206854 \, x^{11} + 1031713 \, x^{10} + 1821679 \, x^{9} - 777121 \, x^{8} - 1012572 \, x^{7} + 418571 \, x^{6} + 366569 \, x^{5} - 150191 \, x^{4} - 80217 \, x^{3} + 32812 \, x^{2} + 8332 \, x - 3472\right)}\right)}\right)} \sqrt{\sqrt{3} + 3} - \sqrt{3} {\left(4 \, \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(432 \, \sqrt{3} \sqrt{2} {\left(216 \, x^{22} - 108 \, x^{21} - 3330 \, x^{20} - 781 \, x^{19} + 19165 \, x^{18} + 10195 \, x^{17} - 59851 \, x^{16} - 39556 \, x^{15} + 118857 \, x^{14} + 81429 \, x^{13} - 163917 \, x^{12} - 102318 \, x^{11} + 163917 \, x^{10} + 81429 \, x^{9} - 118857 \, x^{8} - 39556 \, x^{7} + 59851 \, x^{6} + 10195 \, x^{5} - 19165 \, x^{4} - 781 \, x^{3} + 3330 \, x^{2} - 108 \, x - 216\right)} + 32 \, \sqrt{2} {\left(2360 \, x^{22} - 8956 \, x^{21} - 45434 \, x^{20} + 45495 \, x^{19} + 282781 \, x^{18} - 53897 \, x^{17} - 907075 \, x^{16} - 128232 \, x^{15} + 1810289 \, x^{14} + 486953 \, x^{13} - 2492597 \, x^{12} - 681822 \, x^{11} + 2492597 \, x^{10} + 486953 \, x^{9} - 1810289 \, x^{8} - 128232 \, x^{7} + 907075 \, x^{6} - 53897 \, x^{5} - 282781 \, x^{4} + 45495 \, x^{3} + 45434 \, x^{2} - 8956 \, x - 2360\right)} + \sqrt{3} {\left(\sqrt{3} \sqrt{2} {\left(49986 \, x^{22} - 21657 \, x^{21} - 729134 \, x^{20} - 244380 \, x^{19} + 3857142 \, x^{18} + 2321683 \, x^{17} - 11301498 \, x^{16} - 7948080 \, x^{15} + 21680708 \, x^{14} + 15380790 \, x^{13} - 29524188 \, x^{12} - 18973992 \, x^{11} + 29524188 \, x^{10} + 15380790 \, x^{9} - 21680708 \, x^{8} - 7948080 \, x^{7} + 11301498 \, x^{6} + 2321683 \, x^{5} - 3857142 \, x^{4} - 244380 \, x^{3} + 729134 \, x^{2} - 21657 \, x - 49986\right)} + 9 \, \sqrt{2} {\left(7914 \, x^{22} - 16733 \, x^{21} - 158670 \, x^{20} + 22428 \, x^{19} + 945222 \, x^{18} + 334415 \, x^{17} - 2948658 \, x^{16} - 1612368 \, x^{15} + 5841252 \, x^{14} + 3501502 \, x^{13} - 8053356 \, x^{12} - 4458456 \, x^{11} + 8053356 \, x^{10} + 3501502 \, x^{9} - 5841252 \, x^{8} - 1612368 \, x^{7} + 2948658 \, x^{6} + 334415 \, x^{5} - 945222 \, x^{4} + 22428 \, x^{3} + 158670 \, x^{2} - 16733 \, x - 7914\right)}\right)}\right)} - {\left(3^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(74979 \, x^{24} + 33750 \, x^{23} - 1015776 \, x^{22} - 727438 \, x^{21} + 5840466 \, x^{20} + 4922886 \, x^{19} - 19783936 \, x^{18} - 17861550 \, x^{17} + 44413005 \, x^{16} + 40213276 \, x^{15} - 70337952 \, x^{14} - 59591436 \, x^{13} + 81608124 \, x^{12} + 59591436 \, x^{11} - 70337952 \, x^{10} - 40213276 \, x^{9} + 44413005 \, x^{8} + 17861550 \, x^{7} - 19783936 \, x^{6} - 4922886 \, x^{5} + 5840466 \, x^{4} + 727438 \, x^{3} - 1015776 \, x^{2} - 33750 \, x + 74979\right)} + 3 \, \sqrt{2} {\left(35613 \, x^{24} - 59994 \, x^{23} - 860868 \, x^{22} - 538030 \, x^{21} + 4822062 \, x^{20} + 5516742 \, x^{19} - 13789492 \, x^{18} - 20062302 \, x^{17} + 25455027 \, x^{16} + 42469276 \, x^{15} - 34669512 \, x^{14} - 60232236 \, x^{13} + 38019396 \, x^{12} + 60232236 \, x^{11} - 34669512 \, x^{10} - 42469276 \, x^{9} + 25455027 \, x^{8} + 20062302 \, x^{7} - 13789492 \, x^{6} - 5516742 \, x^{5} + 4822062 \, x^{4} + 538030 \, x^{3} - 860868 \, x^{2} + 59994 \, x + 35613\right)}\right)} + 16 \cdot 3^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(8748 \, x^{24} + 6944 \, x^{23} - 121117 \, x^{22} - 160313 \, x^{21} + 619191 \, x^{20} + 1046203 \, x^{19} - 1708067 \, x^{18} - 3496102 \, x^{17} + 3026016 \, x^{16} + 7267658 \, x^{15} - 3929656 \, x^{14} - 10279580 \, x^{13} + 4209066 \, x^{12} + 10279580 \, x^{11} - 3929656 \, x^{10} - 7267658 \, x^{9} + 3026016 \, x^{8} + 3496102 \, x^{7} - 1708067 \, x^{6} - 1046203 \, x^{5} + 619191 \, x^{4} + 160313 \, x^{3} - 121117 \, x^{2} - 6944 \, x + 8748\right)} + 2 \, \sqrt{2} {\left(3540 \, x^{24} - 15692 \, x^{23} - 97103 \, x^{22} + 65354 \, x^{21} + 679743 \, x^{20} + 42464 \, x^{19} - 2430064 \, x^{18} - 835238 \, x^{17} + 5489208 \, x^{16} + 2486254 \, x^{15} - 8660693 \, x^{14} - 3997426 \, x^{13} + 10030362 \, x^{12} + 3997426 \, x^{11} - 8660693 \, x^{10} - 2486254 \, x^{9} + 5489208 \, x^{8} + 835238 \, x^{7} - 2430064 \, x^{6} - 42464 \, x^{5} + 679743 \, x^{4} - 65354 \, x^{3} - 97103 \, x^{2} + 15692 \, x + 3540\right)}\right)}\right)} \sqrt{\sqrt{3} + 3}\right)} \sqrt{\frac{12 \, x^{4} + 12 \, x^{3} + 2 \cdot 3^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(3 \, x^{2} + \sqrt{3} {\left(x^{2} + 2 \, x - 1\right)} - 3\right)} \sqrt{\sqrt{3} + 3} - 12 \, x^{2} + 3 \, \sqrt{3} {\left(3 \, x^{4} + 4 \, x^{3} - 4 \, x^{2} - 4 \, x + 3\right)} - 12 \, x + 12}{x^{4} + 1}} + \sqrt{2} {\left(1420273 \, x^{24} + 4805532 \, x^{23} - 6990684 \, x^{22} - 56445924 \, x^{21} - 43034298 \, x^{20} + 217918452 \, x^{19} + 346132212 \, x^{18} - 428680524 \, x^{17} - 1032893025 \, x^{16} + 521844888 \, x^{15} + 1831043496 \, x^{14} - 492849576 \, x^{13} - 2191867756 \, x^{12} + 492849576 \, x^{11} + 1831043496 \, x^{10} - 521844888 \, x^{9} - 1032893025 \, x^{8} + 428680524 \, x^{7} + 346132212 \, x^{6} - 217918452 \, x^{5} - 43034298 \, x^{4} + 56445924 \, x^{3} - 6990684 \, x^{2} - 4805532 \, x + 1420273\right)} - 72 \, \sqrt{3} {\left(\sqrt{3} \sqrt{2} {\left(834 \, x^{24} + 28329 \, x^{23} + 57653 \, x^{22} - 228636 \, x^{21} - 623670 \, x^{20} + 704868 \, x^{19} + 2721145 \, x^{18} - 1036077 \, x^{17} - 6845226 \, x^{16} + 627714 \, x^{15} + 11408354 \, x^{14} + 112296 \, x^{13} - 13436772 \, x^{12} - 112296 \, x^{11} + 11408354 \, x^{10} - 627714 \, x^{9} - 6845226 \, x^{8} + 1036077 \, x^{7} + 2721145 \, x^{6} - 704868 \, x^{5} - 623670 \, x^{4} + 228636 \, x^{3} + 57653 \, x^{2} - 28329 \, x + 834\right)} - \sqrt{2} {\left(9582 \, x^{24} + 23819 \, x^{23} - 41279 \, x^{22} - 134546 \, x^{21} + 94356 \, x^{20} + 385810 \, x^{19} - 178747 \, x^{18} - 779191 \, x^{17} + 283986 \, x^{16} + 1208534 \, x^{15} - 367862 \, x^{14} - 1491188 \, x^{13} + 398424 \, x^{12} + 1491188 \, x^{11} - 367862 \, x^{10} - 1208534 \, x^{9} + 283986 \, x^{8} + 779191 \, x^{7} - 178747 \, x^{6} - 385810 \, x^{5} + 94356 \, x^{4} + 134546 \, x^{3} - 41279 \, x^{2} - 23819 \, x + 9582\right)}\right)}}{2 \, {\left(1246223 \, x^{24} + 2293920 \, x^{23} - 26548320 \, x^{22} - 65287680 \, x^{21} + 127861530 \, x^{20} + 421996416 \, x^{19} - 268833120 \, x^{18} - 1372131744 \, x^{17} + 254704353 \, x^{16} + 2785350336 \, x^{15} - 28287552 \, x^{14} - 3887482752 \, x^{13} - 120055892 \, x^{12} + 3887482752 \, x^{11} - 28287552 \, x^{10} - 2785350336 \, x^{9} + 254704353 \, x^{8} + 1372131744 \, x^{7} - 268833120 \, x^{6} - 421996416 \, x^{5} + 127861530 \, x^{4} + 65287680 \, x^{3} - 26548320 \, x^{2} - 2293920 \, x + 1246223\right)}}\right) - \frac{1}{6} \cdot 3^{\frac{1}{4}} \sqrt{2} \sqrt{\sqrt{3} + 3} \arctan\left(-\frac{27 \, \sqrt{3} \sqrt{2} {\left(7965 \, x^{24} - 86940 \, x^{23} - 452052 \, x^{22} + 26692 \, x^{21} + 2473150 \, x^{20} + 1471532 \, x^{19} - 6805092 \, x^{18} - 5527220 \, x^{17} + 12746227 \, x^{16} + 11019368 \, x^{15} - 18256392 \, x^{14} - 15014808 \, x^{13} + 20562084 \, x^{12} + 15014808 \, x^{11} - 18256392 \, x^{10} - 11019368 \, x^{9} + 12746227 \, x^{8} + 5527220 \, x^{7} - 6805092 \, x^{6} - 1471532 \, x^{5} + 2473150 \, x^{4} - 26692 \, x^{3} - 452052 \, x^{2} + 86940 \, x + 7965\right)} - 6 \, \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(3 \cdot 3^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(1251 \, x^{22} + 53118 \, x^{21} + 152273 \, x^{20} - 226152 \, x^{19} - 1135173 \, x^{18} + 64070 \, x^{17} + 3658401 \, x^{16} + 1370976 \, x^{15} - 7090226 \, x^{14} - 3772836 \, x^{13} + 9542874 \, x^{12} + 5019024 \, x^{11} - 9542874 \, x^{10} - 3772836 \, x^{9} + 7090226 \, x^{8} + 1370976 \, x^{7} - 3658401 \, x^{6} + 64070 \, x^{5} + 1135173 \, x^{4} - 226152 \, x^{3} - 152273 \, x^{2} + 53118 \, x - 1251\right)} - \sqrt{2} {\left(14373 \, x^{22} + 50208 \, x^{21} + 74455 \, x^{20} + 37936 \, x^{19} - 510931 \, x^{18} - 1380336 \, x^{17} + 818695 \, x^{16} + 5137984 \, x^{15} + 96914 \, x^{14} - 9942384 \, x^{13} - 1619802 \, x^{12} + 12190752 \, x^{11} + 1619802 \, x^{10} - 9942384 \, x^{9} - 96914 \, x^{8} + 5137984 \, x^{7} - 818695 \, x^{6} - 1380336 \, x^{5} + 510931 \, x^{4} + 37936 \, x^{3} - 74455 \, x^{2} + 50208 \, x - 14373\right)}\right)} + 16 \cdot 3^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(4028 \, x^{22} + 21940 \, x^{21} - 28445 \, x^{20} - 217872 \, x^{19} + 40111 \, x^{18} + 938897 \, x^{17} + 155918 \, x^{16} - 2366280 \, x^{15} - 698062 \, x^{14} + 3957631 \, x^{13} + 1245100 \, x^{12} - 4670064 \, x^{11} - 1245100 \, x^{10} + 3957631 \, x^{9} + 698062 \, x^{8} - 2366280 \, x^{7} - 155918 \, x^{6} + 938897 \, x^{5} - 40111 \, x^{4} - 217872 \, x^{3} + 28445 \, x^{2} + 21940 \, x - 4028\right)} - 3 \, \sqrt{2} {\left(3472 \, x^{22} + 8332 \, x^{21} - 32812 \, x^{20} - 80217 \, x^{19} + 150191 \, x^{18} + 366569 \, x^{17} - 418571 \, x^{16} - 1012572 \, x^{15} + 777121 \, x^{14} + 1821679 \, x^{13} - 1031713 \, x^{12} - 2206854 \, x^{11} + 1031713 \, x^{10} + 1821679 \, x^{9} - 777121 \, x^{8} - 1012572 \, x^{7} + 418571 \, x^{6} + 366569 \, x^{5} - 150191 \, x^{4} - 80217 \, x^{3} + 32812 \, x^{2} + 8332 \, x - 3472\right)}\right)}\right)} \sqrt{\sqrt{3} + 3} - \sqrt{3} {\left(4 \, \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(432 \, \sqrt{3} \sqrt{2} {\left(216 \, x^{22} - 108 \, x^{21} - 3330 \, x^{20} - 781 \, x^{19} + 19165 \, x^{18} + 10195 \, x^{17} - 59851 \, x^{16} - 39556 \, x^{15} + 118857 \, x^{14} + 81429 \, x^{13} - 163917 \, x^{12} - 102318 \, x^{11} + 163917 \, x^{10} + 81429 \, x^{9} - 118857 \, x^{8} - 39556 \, x^{7} + 59851 \, x^{6} + 10195 \, x^{5} - 19165 \, x^{4} - 781 \, x^{3} + 3330 \, x^{2} - 108 \, x - 216\right)} + 32 \, \sqrt{2} {\left(2360 \, x^{22} - 8956 \, x^{21} - 45434 \, x^{20} + 45495 \, x^{19} + 282781 \, x^{18} - 53897 \, x^{17} - 907075 \, x^{16} - 128232 \, x^{15} + 1810289 \, x^{14} + 486953 \, x^{13} - 2492597 \, x^{12} - 681822 \, x^{11} + 2492597 \, x^{10} + 486953 \, x^{9} - 1810289 \, x^{8} - 128232 \, x^{7} + 907075 \, x^{6} - 53897 \, x^{5} - 282781 \, x^{4} + 45495 \, x^{3} + 45434 \, x^{2} - 8956 \, x - 2360\right)} + \sqrt{3} {\left(\sqrt{3} \sqrt{2} {\left(49986 \, x^{22} - 21657 \, x^{21} - 729134 \, x^{20} - 244380 \, x^{19} + 3857142 \, x^{18} + 2321683 \, x^{17} - 11301498 \, x^{16} - 7948080 \, x^{15} + 21680708 \, x^{14} + 15380790 \, x^{13} - 29524188 \, x^{12} - 18973992 \, x^{11} + 29524188 \, x^{10} + 15380790 \, x^{9} - 21680708 \, x^{8} - 7948080 \, x^{7} + 11301498 \, x^{6} + 2321683 \, x^{5} - 3857142 \, x^{4} - 244380 \, x^{3} + 729134 \, x^{2} - 21657 \, x - 49986\right)} + 9 \, \sqrt{2} {\left(7914 \, x^{22} - 16733 \, x^{21} - 158670 \, x^{20} + 22428 \, x^{19} + 945222 \, x^{18} + 334415 \, x^{17} - 2948658 \, x^{16} - 1612368 \, x^{15} + 5841252 \, x^{14} + 3501502 \, x^{13} - 8053356 \, x^{12} - 4458456 \, x^{11} + 8053356 \, x^{10} + 3501502 \, x^{9} - 5841252 \, x^{8} - 1612368 \, x^{7} + 2948658 \, x^{6} + 334415 \, x^{5} - 945222 \, x^{4} + 22428 \, x^{3} + 158670 \, x^{2} - 16733 \, x - 7914\right)}\right)}\right)} + {\left(3^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(74979 \, x^{24} + 33750 \, x^{23} - 1015776 \, x^{22} - 727438 \, x^{21} + 5840466 \, x^{20} + 4922886 \, x^{19} - 19783936 \, x^{18} - 17861550 \, x^{17} + 44413005 \, x^{16} + 40213276 \, x^{15} - 70337952 \, x^{14} - 59591436 \, x^{13} + 81608124 \, x^{12} + 59591436 \, x^{11} - 70337952 \, x^{10} - 40213276 \, x^{9} + 44413005 \, x^{8} + 17861550 \, x^{7} - 19783936 \, x^{6} - 4922886 \, x^{5} + 5840466 \, x^{4} + 727438 \, x^{3} - 1015776 \, x^{2} - 33750 \, x + 74979\right)} + 3 \, \sqrt{2} {\left(35613 \, x^{24} - 59994 \, x^{23} - 860868 \, x^{22} - 538030 \, x^{21} + 4822062 \, x^{20} + 5516742 \, x^{19} - 13789492 \, x^{18} - 20062302 \, x^{17} + 25455027 \, x^{16} + 42469276 \, x^{15} - 34669512 \, x^{14} - 60232236 \, x^{13} + 38019396 \, x^{12} + 60232236 \, x^{11} - 34669512 \, x^{10} - 42469276 \, x^{9} + 25455027 \, x^{8} + 20062302 \, x^{7} - 13789492 \, x^{6} - 5516742 \, x^{5} + 4822062 \, x^{4} + 538030 \, x^{3} - 860868 \, x^{2} + 59994 \, x + 35613\right)}\right)} + 16 \cdot 3^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(8748 \, x^{24} + 6944 \, x^{23} - 121117 \, x^{22} - 160313 \, x^{21} + 619191 \, x^{20} + 1046203 \, x^{19} - 1708067 \, x^{18} - 3496102 \, x^{17} + 3026016 \, x^{16} + 7267658 \, x^{15} - 3929656 \, x^{14} - 10279580 \, x^{13} + 4209066 \, x^{12} + 10279580 \, x^{11} - 3929656 \, x^{10} - 7267658 \, x^{9} + 3026016 \, x^{8} + 3496102 \, x^{7} - 1708067 \, x^{6} - 1046203 \, x^{5} + 619191 \, x^{4} + 160313 \, x^{3} - 121117 \, x^{2} - 6944 \, x + 8748\right)} + 2 \, \sqrt{2} {\left(3540 \, x^{24} - 15692 \, x^{23} - 97103 \, x^{22} + 65354 \, x^{21} + 679743 \, x^{20} + 42464 \, x^{19} - 2430064 \, x^{18} - 835238 \, x^{17} + 5489208 \, x^{16} + 2486254 \, x^{15} - 8660693 \, x^{14} - 3997426 \, x^{13} + 10030362 \, x^{12} + 3997426 \, x^{11} - 8660693 \, x^{10} - 2486254 \, x^{9} + 5489208 \, x^{8} + 835238 \, x^{7} - 2430064 \, x^{6} - 42464 \, x^{5} + 679743 \, x^{4} - 65354 \, x^{3} - 97103 \, x^{2} + 15692 \, x + 3540\right)}\right)}\right)} \sqrt{\sqrt{3} + 3}\right)} \sqrt{\frac{12 \, x^{4} + 12 \, x^{3} - 2 \cdot 3^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(3 \, x^{2} + \sqrt{3} {\left(x^{2} + 2 \, x - 1\right)} - 3\right)} \sqrt{\sqrt{3} + 3} - 12 \, x^{2} + 3 \, \sqrt{3} {\left(3 \, x^{4} + 4 \, x^{3} - 4 \, x^{2} - 4 \, x + 3\right)} - 12 \, x + 12}{x^{4} + 1}} + \sqrt{2} {\left(1420273 \, x^{24} + 4805532 \, x^{23} - 6990684 \, x^{22} - 56445924 \, x^{21} - 43034298 \, x^{20} + 217918452 \, x^{19} + 346132212 \, x^{18} - 428680524 \, x^{17} - 1032893025 \, x^{16} + 521844888 \, x^{15} + 1831043496 \, x^{14} - 492849576 \, x^{13} - 2191867756 \, x^{12} + 492849576 \, x^{11} + 1831043496 \, x^{10} - 521844888 \, x^{9} - 1032893025 \, x^{8} + 428680524 \, x^{7} + 346132212 \, x^{6} - 217918452 \, x^{5} - 43034298 \, x^{4} + 56445924 \, x^{3} - 6990684 \, x^{2} - 4805532 \, x + 1420273\right)} - 72 \, \sqrt{3} {\left(\sqrt{3} \sqrt{2} {\left(834 \, x^{24} + 28329 \, x^{23} + 57653 \, x^{22} - 228636 \, x^{21} - 623670 \, x^{20} + 704868 \, x^{19} + 2721145 \, x^{18} - 1036077 \, x^{17} - 6845226 \, x^{16} + 627714 \, x^{15} + 11408354 \, x^{14} + 112296 \, x^{13} - 13436772 \, x^{12} - 112296 \, x^{11} + 11408354 \, x^{10} - 627714 \, x^{9} - 6845226 \, x^{8} + 1036077 \, x^{7} + 2721145 \, x^{6} - 704868 \, x^{5} - 623670 \, x^{4} + 228636 \, x^{3} + 57653 \, x^{2} - 28329 \, x + 834\right)} - \sqrt{2} {\left(9582 \, x^{24} + 23819 \, x^{23} - 41279 \, x^{22} - 134546 \, x^{21} + 94356 \, x^{20} + 385810 \, x^{19} - 178747 \, x^{18} - 779191 \, x^{17} + 283986 \, x^{16} + 1208534 \, x^{15} - 367862 \, x^{14} - 1491188 \, x^{13} + 398424 \, x^{12} + 1491188 \, x^{11} - 367862 \, x^{10} - 1208534 \, x^{9} + 283986 \, x^{8} + 779191 \, x^{7} - 178747 \, x^{6} - 385810 \, x^{5} + 94356 \, x^{4} + 134546 \, x^{3} - 41279 \, x^{2} - 23819 \, x + 9582\right)}\right)}}{2 \, {\left(1246223 \, x^{24} + 2293920 \, x^{23} - 26548320 \, x^{22} - 65287680 \, x^{21} + 127861530 \, x^{20} + 421996416 \, x^{19} - 268833120 \, x^{18} - 1372131744 \, x^{17} + 254704353 \, x^{16} + 2785350336 \, x^{15} - 28287552 \, x^{14} - 3887482752 \, x^{13} - 120055892 \, x^{12} + 3887482752 \, x^{11} - 28287552 \, x^{10} - 2785350336 \, x^{9} + 254704353 \, x^{8} + 1372131744 \, x^{7} - 268833120 \, x^{6} - 421996416 \, x^{5} + 127861530 \, x^{4} + 65287680 \, x^{3} - 26548320 \, x^{2} - 2293920 \, x + 1246223\right)}}\right)"," ",0,"-1/24*3^(1/4)*sqrt(sqrt(3) + 3)*(sqrt(3) - 1)*log(3*(12*x^4 + 12*x^3 + 2*3^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(3*x^2 + sqrt(3)*(x^2 + 2*x - 1) - 3)*sqrt(sqrt(3) + 3) - 12*x^2 + 3*sqrt(3)*(3*x^4 + 4*x^3 - 4*x^2 - 4*x + 3) - 12*x + 12)/(x^4 + 1)) + 1/24*3^(1/4)*sqrt(sqrt(3) + 3)*(sqrt(3) - 1)*log(3*(12*x^4 + 12*x^3 - 2*3^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(3*x^2 + sqrt(3)*(x^2 + 2*x - 1) - 3)*sqrt(sqrt(3) + 3) - 12*x^2 + 3*sqrt(3)*(3*x^4 + 4*x^3 - 4*x^2 - 4*x + 3) - 12*x + 12)/(x^4 + 1)) - 1/6*3^(1/4)*sqrt(2)*sqrt(sqrt(3) + 3)*arctan(1/2*(27*sqrt(3)*sqrt(2)*(7965*x^24 - 86940*x^23 - 452052*x^22 + 26692*x^21 + 2473150*x^20 + 1471532*x^19 - 6805092*x^18 - 5527220*x^17 + 12746227*x^16 + 11019368*x^15 - 18256392*x^14 - 15014808*x^13 + 20562084*x^12 + 15014808*x^11 - 18256392*x^10 - 11019368*x^9 + 12746227*x^8 + 5527220*x^7 - 6805092*x^6 - 1471532*x^5 + 2473150*x^4 - 26692*x^3 - 452052*x^2 + 86940*x + 7965) + 6*sqrt(x^4 + x^3 - x^2 - x + 1)*(3*3^(3/4)*(sqrt(3)*sqrt(2)*(1251*x^22 + 53118*x^21 + 152273*x^20 - 226152*x^19 - 1135173*x^18 + 64070*x^17 + 3658401*x^16 + 1370976*x^15 - 7090226*x^14 - 3772836*x^13 + 9542874*x^12 + 5019024*x^11 - 9542874*x^10 - 3772836*x^9 + 7090226*x^8 + 1370976*x^7 - 3658401*x^6 + 64070*x^5 + 1135173*x^4 - 226152*x^3 - 152273*x^2 + 53118*x - 1251) - sqrt(2)*(14373*x^22 + 50208*x^21 + 74455*x^20 + 37936*x^19 - 510931*x^18 - 1380336*x^17 + 818695*x^16 + 5137984*x^15 + 96914*x^14 - 9942384*x^13 - 1619802*x^12 + 12190752*x^11 + 1619802*x^10 - 9942384*x^9 - 96914*x^8 + 5137984*x^7 - 818695*x^6 - 1380336*x^5 + 510931*x^4 + 37936*x^3 - 74455*x^2 + 50208*x - 14373)) + 16*3^(1/4)*(sqrt(3)*sqrt(2)*(4028*x^22 + 21940*x^21 - 28445*x^20 - 217872*x^19 + 40111*x^18 + 938897*x^17 + 155918*x^16 - 2366280*x^15 - 698062*x^14 + 3957631*x^13 + 1245100*x^12 - 4670064*x^11 - 1245100*x^10 + 3957631*x^9 + 698062*x^8 - 2366280*x^7 - 155918*x^6 + 938897*x^5 - 40111*x^4 - 217872*x^3 + 28445*x^2 + 21940*x - 4028) - 3*sqrt(2)*(3472*x^22 + 8332*x^21 - 32812*x^20 - 80217*x^19 + 150191*x^18 + 366569*x^17 - 418571*x^16 - 1012572*x^15 + 777121*x^14 + 1821679*x^13 - 1031713*x^12 - 2206854*x^11 + 1031713*x^10 + 1821679*x^9 - 777121*x^8 - 1012572*x^7 + 418571*x^6 + 366569*x^5 - 150191*x^4 - 80217*x^3 + 32812*x^2 + 8332*x - 3472)))*sqrt(sqrt(3) + 3) - sqrt(3)*(4*sqrt(x^4 + x^3 - x^2 - x + 1)*(432*sqrt(3)*sqrt(2)*(216*x^22 - 108*x^21 - 3330*x^20 - 781*x^19 + 19165*x^18 + 10195*x^17 - 59851*x^16 - 39556*x^15 + 118857*x^14 + 81429*x^13 - 163917*x^12 - 102318*x^11 + 163917*x^10 + 81429*x^9 - 118857*x^8 - 39556*x^7 + 59851*x^6 + 10195*x^5 - 19165*x^4 - 781*x^3 + 3330*x^2 - 108*x - 216) + 32*sqrt(2)*(2360*x^22 - 8956*x^21 - 45434*x^20 + 45495*x^19 + 282781*x^18 - 53897*x^17 - 907075*x^16 - 128232*x^15 + 1810289*x^14 + 486953*x^13 - 2492597*x^12 - 681822*x^11 + 2492597*x^10 + 486953*x^9 - 1810289*x^8 - 128232*x^7 + 907075*x^6 - 53897*x^5 - 282781*x^4 + 45495*x^3 + 45434*x^2 - 8956*x - 2360) + sqrt(3)*(sqrt(3)*sqrt(2)*(49986*x^22 - 21657*x^21 - 729134*x^20 - 244380*x^19 + 3857142*x^18 + 2321683*x^17 - 11301498*x^16 - 7948080*x^15 + 21680708*x^14 + 15380790*x^13 - 29524188*x^12 - 18973992*x^11 + 29524188*x^10 + 15380790*x^9 - 21680708*x^8 - 7948080*x^7 + 11301498*x^6 + 2321683*x^5 - 3857142*x^4 - 244380*x^3 + 729134*x^2 - 21657*x - 49986) + 9*sqrt(2)*(7914*x^22 - 16733*x^21 - 158670*x^20 + 22428*x^19 + 945222*x^18 + 334415*x^17 - 2948658*x^16 - 1612368*x^15 + 5841252*x^14 + 3501502*x^13 - 8053356*x^12 - 4458456*x^11 + 8053356*x^10 + 3501502*x^9 - 5841252*x^8 - 1612368*x^7 + 2948658*x^6 + 334415*x^5 - 945222*x^4 + 22428*x^3 + 158670*x^2 - 16733*x - 7914))) - (3^(3/4)*(sqrt(3)*sqrt(2)*(74979*x^24 + 33750*x^23 - 1015776*x^22 - 727438*x^21 + 5840466*x^20 + 4922886*x^19 - 19783936*x^18 - 17861550*x^17 + 44413005*x^16 + 40213276*x^15 - 70337952*x^14 - 59591436*x^13 + 81608124*x^12 + 59591436*x^11 - 70337952*x^10 - 40213276*x^9 + 44413005*x^8 + 17861550*x^7 - 19783936*x^6 - 4922886*x^5 + 5840466*x^4 + 727438*x^3 - 1015776*x^2 - 33750*x + 74979) + 3*sqrt(2)*(35613*x^24 - 59994*x^23 - 860868*x^22 - 538030*x^21 + 4822062*x^20 + 5516742*x^19 - 13789492*x^18 - 20062302*x^17 + 25455027*x^16 + 42469276*x^15 - 34669512*x^14 - 60232236*x^13 + 38019396*x^12 + 60232236*x^11 - 34669512*x^10 - 42469276*x^9 + 25455027*x^8 + 20062302*x^7 - 13789492*x^6 - 5516742*x^5 + 4822062*x^4 + 538030*x^3 - 860868*x^2 + 59994*x + 35613)) + 16*3^(1/4)*(sqrt(3)*sqrt(2)*(8748*x^24 + 6944*x^23 - 121117*x^22 - 160313*x^21 + 619191*x^20 + 1046203*x^19 - 1708067*x^18 - 3496102*x^17 + 3026016*x^16 + 7267658*x^15 - 3929656*x^14 - 10279580*x^13 + 4209066*x^12 + 10279580*x^11 - 3929656*x^10 - 7267658*x^9 + 3026016*x^8 + 3496102*x^7 - 1708067*x^6 - 1046203*x^5 + 619191*x^4 + 160313*x^3 - 121117*x^2 - 6944*x + 8748) + 2*sqrt(2)*(3540*x^24 - 15692*x^23 - 97103*x^22 + 65354*x^21 + 679743*x^20 + 42464*x^19 - 2430064*x^18 - 835238*x^17 + 5489208*x^16 + 2486254*x^15 - 8660693*x^14 - 3997426*x^13 + 10030362*x^12 + 3997426*x^11 - 8660693*x^10 - 2486254*x^9 + 5489208*x^8 + 835238*x^7 - 2430064*x^6 - 42464*x^5 + 679743*x^4 - 65354*x^3 - 97103*x^2 + 15692*x + 3540)))*sqrt(sqrt(3) + 3))*sqrt((12*x^4 + 12*x^3 + 2*3^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(3*x^2 + sqrt(3)*(x^2 + 2*x - 1) - 3)*sqrt(sqrt(3) + 3) - 12*x^2 + 3*sqrt(3)*(3*x^4 + 4*x^3 - 4*x^2 - 4*x + 3) - 12*x + 12)/(x^4 + 1)) + sqrt(2)*(1420273*x^24 + 4805532*x^23 - 6990684*x^22 - 56445924*x^21 - 43034298*x^20 + 217918452*x^19 + 346132212*x^18 - 428680524*x^17 - 1032893025*x^16 + 521844888*x^15 + 1831043496*x^14 - 492849576*x^13 - 2191867756*x^12 + 492849576*x^11 + 1831043496*x^10 - 521844888*x^9 - 1032893025*x^8 + 428680524*x^7 + 346132212*x^6 - 217918452*x^5 - 43034298*x^4 + 56445924*x^3 - 6990684*x^2 - 4805532*x + 1420273) - 72*sqrt(3)*(sqrt(3)*sqrt(2)*(834*x^24 + 28329*x^23 + 57653*x^22 - 228636*x^21 - 623670*x^20 + 704868*x^19 + 2721145*x^18 - 1036077*x^17 - 6845226*x^16 + 627714*x^15 + 11408354*x^14 + 112296*x^13 - 13436772*x^12 - 112296*x^11 + 11408354*x^10 - 627714*x^9 - 6845226*x^8 + 1036077*x^7 + 2721145*x^6 - 704868*x^5 - 623670*x^4 + 228636*x^3 + 57653*x^2 - 28329*x + 834) - sqrt(2)*(9582*x^24 + 23819*x^23 - 41279*x^22 - 134546*x^21 + 94356*x^20 + 385810*x^19 - 178747*x^18 - 779191*x^17 + 283986*x^16 + 1208534*x^15 - 367862*x^14 - 1491188*x^13 + 398424*x^12 + 1491188*x^11 - 367862*x^10 - 1208534*x^9 + 283986*x^8 + 779191*x^7 - 178747*x^6 - 385810*x^5 + 94356*x^4 + 134546*x^3 - 41279*x^2 - 23819*x + 9582)))/(1246223*x^24 + 2293920*x^23 - 26548320*x^22 - 65287680*x^21 + 127861530*x^20 + 421996416*x^19 - 268833120*x^18 - 1372131744*x^17 + 254704353*x^16 + 2785350336*x^15 - 28287552*x^14 - 3887482752*x^13 - 120055892*x^12 + 3887482752*x^11 - 28287552*x^10 - 2785350336*x^9 + 254704353*x^8 + 1372131744*x^7 - 268833120*x^6 - 421996416*x^5 + 127861530*x^4 + 65287680*x^3 - 26548320*x^2 - 2293920*x + 1246223)) - 1/6*3^(1/4)*sqrt(2)*sqrt(sqrt(3) + 3)*arctan(-1/2*(27*sqrt(3)*sqrt(2)*(7965*x^24 - 86940*x^23 - 452052*x^22 + 26692*x^21 + 2473150*x^20 + 1471532*x^19 - 6805092*x^18 - 5527220*x^17 + 12746227*x^16 + 11019368*x^15 - 18256392*x^14 - 15014808*x^13 + 20562084*x^12 + 15014808*x^11 - 18256392*x^10 - 11019368*x^9 + 12746227*x^8 + 5527220*x^7 - 6805092*x^6 - 1471532*x^5 + 2473150*x^4 - 26692*x^3 - 452052*x^2 + 86940*x + 7965) - 6*sqrt(x^4 + x^3 - x^2 - x + 1)*(3*3^(3/4)*(sqrt(3)*sqrt(2)*(1251*x^22 + 53118*x^21 + 152273*x^20 - 226152*x^19 - 1135173*x^18 + 64070*x^17 + 3658401*x^16 + 1370976*x^15 - 7090226*x^14 - 3772836*x^13 + 9542874*x^12 + 5019024*x^11 - 9542874*x^10 - 3772836*x^9 + 7090226*x^8 + 1370976*x^7 - 3658401*x^6 + 64070*x^5 + 1135173*x^4 - 226152*x^3 - 152273*x^2 + 53118*x - 1251) - sqrt(2)*(14373*x^22 + 50208*x^21 + 74455*x^20 + 37936*x^19 - 510931*x^18 - 1380336*x^17 + 818695*x^16 + 5137984*x^15 + 96914*x^14 - 9942384*x^13 - 1619802*x^12 + 12190752*x^11 + 1619802*x^10 - 9942384*x^9 - 96914*x^8 + 5137984*x^7 - 818695*x^6 - 1380336*x^5 + 510931*x^4 + 37936*x^3 - 74455*x^2 + 50208*x - 14373)) + 16*3^(1/4)*(sqrt(3)*sqrt(2)*(4028*x^22 + 21940*x^21 - 28445*x^20 - 217872*x^19 + 40111*x^18 + 938897*x^17 + 155918*x^16 - 2366280*x^15 - 698062*x^14 + 3957631*x^13 + 1245100*x^12 - 4670064*x^11 - 1245100*x^10 + 3957631*x^9 + 698062*x^8 - 2366280*x^7 - 155918*x^6 + 938897*x^5 - 40111*x^4 - 217872*x^3 + 28445*x^2 + 21940*x - 4028) - 3*sqrt(2)*(3472*x^22 + 8332*x^21 - 32812*x^20 - 80217*x^19 + 150191*x^18 + 366569*x^17 - 418571*x^16 - 1012572*x^15 + 777121*x^14 + 1821679*x^13 - 1031713*x^12 - 2206854*x^11 + 1031713*x^10 + 1821679*x^9 - 777121*x^8 - 1012572*x^7 + 418571*x^6 + 366569*x^5 - 150191*x^4 - 80217*x^3 + 32812*x^2 + 8332*x - 3472)))*sqrt(sqrt(3) + 3) - sqrt(3)*(4*sqrt(x^4 + x^3 - x^2 - x + 1)*(432*sqrt(3)*sqrt(2)*(216*x^22 - 108*x^21 - 3330*x^20 - 781*x^19 + 19165*x^18 + 10195*x^17 - 59851*x^16 - 39556*x^15 + 118857*x^14 + 81429*x^13 - 163917*x^12 - 102318*x^11 + 163917*x^10 + 81429*x^9 - 118857*x^8 - 39556*x^7 + 59851*x^6 + 10195*x^5 - 19165*x^4 - 781*x^3 + 3330*x^2 - 108*x - 216) + 32*sqrt(2)*(2360*x^22 - 8956*x^21 - 45434*x^20 + 45495*x^19 + 282781*x^18 - 53897*x^17 - 907075*x^16 - 128232*x^15 + 1810289*x^14 + 486953*x^13 - 2492597*x^12 - 681822*x^11 + 2492597*x^10 + 486953*x^9 - 1810289*x^8 - 128232*x^7 + 907075*x^6 - 53897*x^5 - 282781*x^4 + 45495*x^3 + 45434*x^2 - 8956*x - 2360) + sqrt(3)*(sqrt(3)*sqrt(2)*(49986*x^22 - 21657*x^21 - 729134*x^20 - 244380*x^19 + 3857142*x^18 + 2321683*x^17 - 11301498*x^16 - 7948080*x^15 + 21680708*x^14 + 15380790*x^13 - 29524188*x^12 - 18973992*x^11 + 29524188*x^10 + 15380790*x^9 - 21680708*x^8 - 7948080*x^7 + 11301498*x^6 + 2321683*x^5 - 3857142*x^4 - 244380*x^3 + 729134*x^2 - 21657*x - 49986) + 9*sqrt(2)*(7914*x^22 - 16733*x^21 - 158670*x^20 + 22428*x^19 + 945222*x^18 + 334415*x^17 - 2948658*x^16 - 1612368*x^15 + 5841252*x^14 + 3501502*x^13 - 8053356*x^12 - 4458456*x^11 + 8053356*x^10 + 3501502*x^9 - 5841252*x^8 - 1612368*x^7 + 2948658*x^6 + 334415*x^5 - 945222*x^4 + 22428*x^3 + 158670*x^2 - 16733*x - 7914))) + (3^(3/4)*(sqrt(3)*sqrt(2)*(74979*x^24 + 33750*x^23 - 1015776*x^22 - 727438*x^21 + 5840466*x^20 + 4922886*x^19 - 19783936*x^18 - 17861550*x^17 + 44413005*x^16 + 40213276*x^15 - 70337952*x^14 - 59591436*x^13 + 81608124*x^12 + 59591436*x^11 - 70337952*x^10 - 40213276*x^9 + 44413005*x^8 + 17861550*x^7 - 19783936*x^6 - 4922886*x^5 + 5840466*x^4 + 727438*x^3 - 1015776*x^2 - 33750*x + 74979) + 3*sqrt(2)*(35613*x^24 - 59994*x^23 - 860868*x^22 - 538030*x^21 + 4822062*x^20 + 5516742*x^19 - 13789492*x^18 - 20062302*x^17 + 25455027*x^16 + 42469276*x^15 - 34669512*x^14 - 60232236*x^13 + 38019396*x^12 + 60232236*x^11 - 34669512*x^10 - 42469276*x^9 + 25455027*x^8 + 20062302*x^7 - 13789492*x^6 - 5516742*x^5 + 4822062*x^4 + 538030*x^3 - 860868*x^2 + 59994*x + 35613)) + 16*3^(1/4)*(sqrt(3)*sqrt(2)*(8748*x^24 + 6944*x^23 - 121117*x^22 - 160313*x^21 + 619191*x^20 + 1046203*x^19 - 1708067*x^18 - 3496102*x^17 + 3026016*x^16 + 7267658*x^15 - 3929656*x^14 - 10279580*x^13 + 4209066*x^12 + 10279580*x^11 - 3929656*x^10 - 7267658*x^9 + 3026016*x^8 + 3496102*x^7 - 1708067*x^6 - 1046203*x^5 + 619191*x^4 + 160313*x^3 - 121117*x^2 - 6944*x + 8748) + 2*sqrt(2)*(3540*x^24 - 15692*x^23 - 97103*x^22 + 65354*x^21 + 679743*x^20 + 42464*x^19 - 2430064*x^18 - 835238*x^17 + 5489208*x^16 + 2486254*x^15 - 8660693*x^14 - 3997426*x^13 + 10030362*x^12 + 3997426*x^11 - 8660693*x^10 - 2486254*x^9 + 5489208*x^8 + 835238*x^7 - 2430064*x^6 - 42464*x^5 + 679743*x^4 - 65354*x^3 - 97103*x^2 + 15692*x + 3540)))*sqrt(sqrt(3) + 3))*sqrt((12*x^4 + 12*x^3 - 2*3^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(3*x^2 + sqrt(3)*(x^2 + 2*x - 1) - 3)*sqrt(sqrt(3) + 3) - 12*x^2 + 3*sqrt(3)*(3*x^4 + 4*x^3 - 4*x^2 - 4*x + 3) - 12*x + 12)/(x^4 + 1)) + sqrt(2)*(1420273*x^24 + 4805532*x^23 - 6990684*x^22 - 56445924*x^21 - 43034298*x^20 + 217918452*x^19 + 346132212*x^18 - 428680524*x^17 - 1032893025*x^16 + 521844888*x^15 + 1831043496*x^14 - 492849576*x^13 - 2191867756*x^12 + 492849576*x^11 + 1831043496*x^10 - 521844888*x^9 - 1032893025*x^8 + 428680524*x^7 + 346132212*x^6 - 217918452*x^5 - 43034298*x^4 + 56445924*x^3 - 6990684*x^2 - 4805532*x + 1420273) - 72*sqrt(3)*(sqrt(3)*sqrt(2)*(834*x^24 + 28329*x^23 + 57653*x^22 - 228636*x^21 - 623670*x^20 + 704868*x^19 + 2721145*x^18 - 1036077*x^17 - 6845226*x^16 + 627714*x^15 + 11408354*x^14 + 112296*x^13 - 13436772*x^12 - 112296*x^11 + 11408354*x^10 - 627714*x^9 - 6845226*x^8 + 1036077*x^7 + 2721145*x^6 - 704868*x^5 - 623670*x^4 + 228636*x^3 + 57653*x^2 - 28329*x + 834) - sqrt(2)*(9582*x^24 + 23819*x^23 - 41279*x^22 - 134546*x^21 + 94356*x^20 + 385810*x^19 - 178747*x^18 - 779191*x^17 + 283986*x^16 + 1208534*x^15 - 367862*x^14 - 1491188*x^13 + 398424*x^12 + 1491188*x^11 - 367862*x^10 - 1208534*x^9 + 283986*x^8 + 779191*x^7 - 178747*x^6 - 385810*x^5 + 94356*x^4 + 134546*x^3 - 41279*x^2 - 23819*x + 9582)))/(1246223*x^24 + 2293920*x^23 - 26548320*x^22 - 65287680*x^21 + 127861530*x^20 + 421996416*x^19 - 268833120*x^18 - 1372131744*x^17 + 254704353*x^16 + 2785350336*x^15 - 28287552*x^14 - 3887482752*x^13 - 120055892*x^12 + 3887482752*x^11 - 28287552*x^10 - 2785350336*x^9 + 254704353*x^8 + 1372131744*x^7 - 268833120*x^6 - 421996416*x^5 + 127861530*x^4 + 65287680*x^3 - 26548320*x^2 - 2293920*x + 1246223))","B",0
1783,1,4804,0,2.921240," ","integrate((x^4-1)/(x^4+1)/(x^4+x^3-x^2-x+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{24} \cdot 3^{\frac{1}{4}} \sqrt{\sqrt{3} + 3} {\left(\sqrt{3} - 1\right)} \log\left(\frac{3 \, {\left(12 \, x^{4} + 12 \, x^{3} + 2 \cdot 3^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(3 \, x^{2} + \sqrt{3} {\left(x^{2} + 2 \, x - 1\right)} - 3\right)} \sqrt{\sqrt{3} + 3} - 12 \, x^{2} + 3 \, \sqrt{3} {\left(3 \, x^{4} + 4 \, x^{3} - 4 \, x^{2} - 4 \, x + 3\right)} - 12 \, x + 12\right)}}{x^{4} + 1}\right) + \frac{1}{24} \cdot 3^{\frac{1}{4}} \sqrt{\sqrt{3} + 3} {\left(\sqrt{3} - 1\right)} \log\left(\frac{3 \, {\left(12 \, x^{4} + 12 \, x^{3} - 2 \cdot 3^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(3 \, x^{2} + \sqrt{3} {\left(x^{2} + 2 \, x - 1\right)} - 3\right)} \sqrt{\sqrt{3} + 3} - 12 \, x^{2} + 3 \, \sqrt{3} {\left(3 \, x^{4} + 4 \, x^{3} - 4 \, x^{2} - 4 \, x + 3\right)} - 12 \, x + 12\right)}}{x^{4} + 1}\right) - \frac{1}{6} \cdot 3^{\frac{1}{4}} \sqrt{2} \sqrt{\sqrt{3} + 3} \arctan\left(\frac{27 \, \sqrt{3} \sqrt{2} {\left(7965 \, x^{24} - 86940 \, x^{23} - 452052 \, x^{22} + 26692 \, x^{21} + 2473150 \, x^{20} + 1471532 \, x^{19} - 6805092 \, x^{18} - 5527220 \, x^{17} + 12746227 \, x^{16} + 11019368 \, x^{15} - 18256392 \, x^{14} - 15014808 \, x^{13} + 20562084 \, x^{12} + 15014808 \, x^{11} - 18256392 \, x^{10} - 11019368 \, x^{9} + 12746227 \, x^{8} + 5527220 \, x^{7} - 6805092 \, x^{6} - 1471532 \, x^{5} + 2473150 \, x^{4} - 26692 \, x^{3} - 452052 \, x^{2} + 86940 \, x + 7965\right)} + 6 \, \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(3 \cdot 3^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(1251 \, x^{22} + 53118 \, x^{21} + 152273 \, x^{20} - 226152 \, x^{19} - 1135173 \, x^{18} + 64070 \, x^{17} + 3658401 \, x^{16} + 1370976 \, x^{15} - 7090226 \, x^{14} - 3772836 \, x^{13} + 9542874 \, x^{12} + 5019024 \, x^{11} - 9542874 \, x^{10} - 3772836 \, x^{9} + 7090226 \, x^{8} + 1370976 \, x^{7} - 3658401 \, x^{6} + 64070 \, x^{5} + 1135173 \, x^{4} - 226152 \, x^{3} - 152273 \, x^{2} + 53118 \, x - 1251\right)} - \sqrt{2} {\left(14373 \, x^{22} + 50208 \, x^{21} + 74455 \, x^{20} + 37936 \, x^{19} - 510931 \, x^{18} - 1380336 \, x^{17} + 818695 \, x^{16} + 5137984 \, x^{15} + 96914 \, x^{14} - 9942384 \, x^{13} - 1619802 \, x^{12} + 12190752 \, x^{11} + 1619802 \, x^{10} - 9942384 \, x^{9} - 96914 \, x^{8} + 5137984 \, x^{7} - 818695 \, x^{6} - 1380336 \, x^{5} + 510931 \, x^{4} + 37936 \, x^{3} - 74455 \, x^{2} + 50208 \, x - 14373\right)}\right)} + 16 \cdot 3^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(4028 \, x^{22} + 21940 \, x^{21} - 28445 \, x^{20} - 217872 \, x^{19} + 40111 \, x^{18} + 938897 \, x^{17} + 155918 \, x^{16} - 2366280 \, x^{15} - 698062 \, x^{14} + 3957631 \, x^{13} + 1245100 \, x^{12} - 4670064 \, x^{11} - 1245100 \, x^{10} + 3957631 \, x^{9} + 698062 \, x^{8} - 2366280 \, x^{7} - 155918 \, x^{6} + 938897 \, x^{5} - 40111 \, x^{4} - 217872 \, x^{3} + 28445 \, x^{2} + 21940 \, x - 4028\right)} - 3 \, \sqrt{2} {\left(3472 \, x^{22} + 8332 \, x^{21} - 32812 \, x^{20} - 80217 \, x^{19} + 150191 \, x^{18} + 366569 \, x^{17} - 418571 \, x^{16} - 1012572 \, x^{15} + 777121 \, x^{14} + 1821679 \, x^{13} - 1031713 \, x^{12} - 2206854 \, x^{11} + 1031713 \, x^{10} + 1821679 \, x^{9} - 777121 \, x^{8} - 1012572 \, x^{7} + 418571 \, x^{6} + 366569 \, x^{5} - 150191 \, x^{4} - 80217 \, x^{3} + 32812 \, x^{2} + 8332 \, x - 3472\right)}\right)}\right)} \sqrt{\sqrt{3} + 3} - \sqrt{3} {\left(4 \, \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(432 \, \sqrt{3} \sqrt{2} {\left(216 \, x^{22} - 108 \, x^{21} - 3330 \, x^{20} - 781 \, x^{19} + 19165 \, x^{18} + 10195 \, x^{17} - 59851 \, x^{16} - 39556 \, x^{15} + 118857 \, x^{14} + 81429 \, x^{13} - 163917 \, x^{12} - 102318 \, x^{11} + 163917 \, x^{10} + 81429 \, x^{9} - 118857 \, x^{8} - 39556 \, x^{7} + 59851 \, x^{6} + 10195 \, x^{5} - 19165 \, x^{4} - 781 \, x^{3} + 3330 \, x^{2} - 108 \, x - 216\right)} + 32 \, \sqrt{2} {\left(2360 \, x^{22} - 8956 \, x^{21} - 45434 \, x^{20} + 45495 \, x^{19} + 282781 \, x^{18} - 53897 \, x^{17} - 907075 \, x^{16} - 128232 \, x^{15} + 1810289 \, x^{14} + 486953 \, x^{13} - 2492597 \, x^{12} - 681822 \, x^{11} + 2492597 \, x^{10} + 486953 \, x^{9} - 1810289 \, x^{8} - 128232 \, x^{7} + 907075 \, x^{6} - 53897 \, x^{5} - 282781 \, x^{4} + 45495 \, x^{3} + 45434 \, x^{2} - 8956 \, x - 2360\right)} + \sqrt{3} {\left(\sqrt{3} \sqrt{2} {\left(49986 \, x^{22} - 21657 \, x^{21} - 729134 \, x^{20} - 244380 \, x^{19} + 3857142 \, x^{18} + 2321683 \, x^{17} - 11301498 \, x^{16} - 7948080 \, x^{15} + 21680708 \, x^{14} + 15380790 \, x^{13} - 29524188 \, x^{12} - 18973992 \, x^{11} + 29524188 \, x^{10} + 15380790 \, x^{9} - 21680708 \, x^{8} - 7948080 \, x^{7} + 11301498 \, x^{6} + 2321683 \, x^{5} - 3857142 \, x^{4} - 244380 \, x^{3} + 729134 \, x^{2} - 21657 \, x - 49986\right)} + 9 \, \sqrt{2} {\left(7914 \, x^{22} - 16733 \, x^{21} - 158670 \, x^{20} + 22428 \, x^{19} + 945222 \, x^{18} + 334415 \, x^{17} - 2948658 \, x^{16} - 1612368 \, x^{15} + 5841252 \, x^{14} + 3501502 \, x^{13} - 8053356 \, x^{12} - 4458456 \, x^{11} + 8053356 \, x^{10} + 3501502 \, x^{9} - 5841252 \, x^{8} - 1612368 \, x^{7} + 2948658 \, x^{6} + 334415 \, x^{5} - 945222 \, x^{4} + 22428 \, x^{3} + 158670 \, x^{2} - 16733 \, x - 7914\right)}\right)}\right)} - {\left(3^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(74979 \, x^{24} + 33750 \, x^{23} - 1015776 \, x^{22} - 727438 \, x^{21} + 5840466 \, x^{20} + 4922886 \, x^{19} - 19783936 \, x^{18} - 17861550 \, x^{17} + 44413005 \, x^{16} + 40213276 \, x^{15} - 70337952 \, x^{14} - 59591436 \, x^{13} + 81608124 \, x^{12} + 59591436 \, x^{11} - 70337952 \, x^{10} - 40213276 \, x^{9} + 44413005 \, x^{8} + 17861550 \, x^{7} - 19783936 \, x^{6} - 4922886 \, x^{5} + 5840466 \, x^{4} + 727438 \, x^{3} - 1015776 \, x^{2} - 33750 \, x + 74979\right)} + 3 \, \sqrt{2} {\left(35613 \, x^{24} - 59994 \, x^{23} - 860868 \, x^{22} - 538030 \, x^{21} + 4822062 \, x^{20} + 5516742 \, x^{19} - 13789492 \, x^{18} - 20062302 \, x^{17} + 25455027 \, x^{16} + 42469276 \, x^{15} - 34669512 \, x^{14} - 60232236 \, x^{13} + 38019396 \, x^{12} + 60232236 \, x^{11} - 34669512 \, x^{10} - 42469276 \, x^{9} + 25455027 \, x^{8} + 20062302 \, x^{7} - 13789492 \, x^{6} - 5516742 \, x^{5} + 4822062 \, x^{4} + 538030 \, x^{3} - 860868 \, x^{2} + 59994 \, x + 35613\right)}\right)} + 16 \cdot 3^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(8748 \, x^{24} + 6944 \, x^{23} - 121117 \, x^{22} - 160313 \, x^{21} + 619191 \, x^{20} + 1046203 \, x^{19} - 1708067 \, x^{18} - 3496102 \, x^{17} + 3026016 \, x^{16} + 7267658 \, x^{15} - 3929656 \, x^{14} - 10279580 \, x^{13} + 4209066 \, x^{12} + 10279580 \, x^{11} - 3929656 \, x^{10} - 7267658 \, x^{9} + 3026016 \, x^{8} + 3496102 \, x^{7} - 1708067 \, x^{6} - 1046203 \, x^{5} + 619191 \, x^{4} + 160313 \, x^{3} - 121117 \, x^{2} - 6944 \, x + 8748\right)} + 2 \, \sqrt{2} {\left(3540 \, x^{24} - 15692 \, x^{23} - 97103 \, x^{22} + 65354 \, x^{21} + 679743 \, x^{20} + 42464 \, x^{19} - 2430064 \, x^{18} - 835238 \, x^{17} + 5489208 \, x^{16} + 2486254 \, x^{15} - 8660693 \, x^{14} - 3997426 \, x^{13} + 10030362 \, x^{12} + 3997426 \, x^{11} - 8660693 \, x^{10} - 2486254 \, x^{9} + 5489208 \, x^{8} + 835238 \, x^{7} - 2430064 \, x^{6} - 42464 \, x^{5} + 679743 \, x^{4} - 65354 \, x^{3} - 97103 \, x^{2} + 15692 \, x + 3540\right)}\right)}\right)} \sqrt{\sqrt{3} + 3}\right)} \sqrt{\frac{12 \, x^{4} + 12 \, x^{3} + 2 \cdot 3^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(3 \, x^{2} + \sqrt{3} {\left(x^{2} + 2 \, x - 1\right)} - 3\right)} \sqrt{\sqrt{3} + 3} - 12 \, x^{2} + 3 \, \sqrt{3} {\left(3 \, x^{4} + 4 \, x^{3} - 4 \, x^{2} - 4 \, x + 3\right)} - 12 \, x + 12}{x^{4} + 1}} + \sqrt{2} {\left(1420273 \, x^{24} + 4805532 \, x^{23} - 6990684 \, x^{22} - 56445924 \, x^{21} - 43034298 \, x^{20} + 217918452 \, x^{19} + 346132212 \, x^{18} - 428680524 \, x^{17} - 1032893025 \, x^{16} + 521844888 \, x^{15} + 1831043496 \, x^{14} - 492849576 \, x^{13} - 2191867756 \, x^{12} + 492849576 \, x^{11} + 1831043496 \, x^{10} - 521844888 \, x^{9} - 1032893025 \, x^{8} + 428680524 \, x^{7} + 346132212 \, x^{6} - 217918452 \, x^{5} - 43034298 \, x^{4} + 56445924 \, x^{3} - 6990684 \, x^{2} - 4805532 \, x + 1420273\right)} - 72 \, \sqrt{3} {\left(\sqrt{3} \sqrt{2} {\left(834 \, x^{24} + 28329 \, x^{23} + 57653 \, x^{22} - 228636 \, x^{21} - 623670 \, x^{20} + 704868 \, x^{19} + 2721145 \, x^{18} - 1036077 \, x^{17} - 6845226 \, x^{16} + 627714 \, x^{15} + 11408354 \, x^{14} + 112296 \, x^{13} - 13436772 \, x^{12} - 112296 \, x^{11} + 11408354 \, x^{10} - 627714 \, x^{9} - 6845226 \, x^{8} + 1036077 \, x^{7} + 2721145 \, x^{6} - 704868 \, x^{5} - 623670 \, x^{4} + 228636 \, x^{3} + 57653 \, x^{2} - 28329 \, x + 834\right)} - \sqrt{2} {\left(9582 \, x^{24} + 23819 \, x^{23} - 41279 \, x^{22} - 134546 \, x^{21} + 94356 \, x^{20} + 385810 \, x^{19} - 178747 \, x^{18} - 779191 \, x^{17} + 283986 \, x^{16} + 1208534 \, x^{15} - 367862 \, x^{14} - 1491188 \, x^{13} + 398424 \, x^{12} + 1491188 \, x^{11} - 367862 \, x^{10} - 1208534 \, x^{9} + 283986 \, x^{8} + 779191 \, x^{7} - 178747 \, x^{6} - 385810 \, x^{5} + 94356 \, x^{4} + 134546 \, x^{3} - 41279 \, x^{2} - 23819 \, x + 9582\right)}\right)}}{2 \, {\left(1246223 \, x^{24} + 2293920 \, x^{23} - 26548320 \, x^{22} - 65287680 \, x^{21} + 127861530 \, x^{20} + 421996416 \, x^{19} - 268833120 \, x^{18} - 1372131744 \, x^{17} + 254704353 \, x^{16} + 2785350336 \, x^{15} - 28287552 \, x^{14} - 3887482752 \, x^{13} - 120055892 \, x^{12} + 3887482752 \, x^{11} - 28287552 \, x^{10} - 2785350336 \, x^{9} + 254704353 \, x^{8} + 1372131744 \, x^{7} - 268833120 \, x^{6} - 421996416 \, x^{5} + 127861530 \, x^{4} + 65287680 \, x^{3} - 26548320 \, x^{2} - 2293920 \, x + 1246223\right)}}\right) - \frac{1}{6} \cdot 3^{\frac{1}{4}} \sqrt{2} \sqrt{\sqrt{3} + 3} \arctan\left(-\frac{27 \, \sqrt{3} \sqrt{2} {\left(7965 \, x^{24} - 86940 \, x^{23} - 452052 \, x^{22} + 26692 \, x^{21} + 2473150 \, x^{20} + 1471532 \, x^{19} - 6805092 \, x^{18} - 5527220 \, x^{17} + 12746227 \, x^{16} + 11019368 \, x^{15} - 18256392 \, x^{14} - 15014808 \, x^{13} + 20562084 \, x^{12} + 15014808 \, x^{11} - 18256392 \, x^{10} - 11019368 \, x^{9} + 12746227 \, x^{8} + 5527220 \, x^{7} - 6805092 \, x^{6} - 1471532 \, x^{5} + 2473150 \, x^{4} - 26692 \, x^{3} - 452052 \, x^{2} + 86940 \, x + 7965\right)} - 6 \, \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(3 \cdot 3^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(1251 \, x^{22} + 53118 \, x^{21} + 152273 \, x^{20} - 226152 \, x^{19} - 1135173 \, x^{18} + 64070 \, x^{17} + 3658401 \, x^{16} + 1370976 \, x^{15} - 7090226 \, x^{14} - 3772836 \, x^{13} + 9542874 \, x^{12} + 5019024 \, x^{11} - 9542874 \, x^{10} - 3772836 \, x^{9} + 7090226 \, x^{8} + 1370976 \, x^{7} - 3658401 \, x^{6} + 64070 \, x^{5} + 1135173 \, x^{4} - 226152 \, x^{3} - 152273 \, x^{2} + 53118 \, x - 1251\right)} - \sqrt{2} {\left(14373 \, x^{22} + 50208 \, x^{21} + 74455 \, x^{20} + 37936 \, x^{19} - 510931 \, x^{18} - 1380336 \, x^{17} + 818695 \, x^{16} + 5137984 \, x^{15} + 96914 \, x^{14} - 9942384 \, x^{13} - 1619802 \, x^{12} + 12190752 \, x^{11} + 1619802 \, x^{10} - 9942384 \, x^{9} - 96914 \, x^{8} + 5137984 \, x^{7} - 818695 \, x^{6} - 1380336 \, x^{5} + 510931 \, x^{4} + 37936 \, x^{3} - 74455 \, x^{2} + 50208 \, x - 14373\right)}\right)} + 16 \cdot 3^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(4028 \, x^{22} + 21940 \, x^{21} - 28445 \, x^{20} - 217872 \, x^{19} + 40111 \, x^{18} + 938897 \, x^{17} + 155918 \, x^{16} - 2366280 \, x^{15} - 698062 \, x^{14} + 3957631 \, x^{13} + 1245100 \, x^{12} - 4670064 \, x^{11} - 1245100 \, x^{10} + 3957631 \, x^{9} + 698062 \, x^{8} - 2366280 \, x^{7} - 155918 \, x^{6} + 938897 \, x^{5} - 40111 \, x^{4} - 217872 \, x^{3} + 28445 \, x^{2} + 21940 \, x - 4028\right)} - 3 \, \sqrt{2} {\left(3472 \, x^{22} + 8332 \, x^{21} - 32812 \, x^{20} - 80217 \, x^{19} + 150191 \, x^{18} + 366569 \, x^{17} - 418571 \, x^{16} - 1012572 \, x^{15} + 777121 \, x^{14} + 1821679 \, x^{13} - 1031713 \, x^{12} - 2206854 \, x^{11} + 1031713 \, x^{10} + 1821679 \, x^{9} - 777121 \, x^{8} - 1012572 \, x^{7} + 418571 \, x^{6} + 366569 \, x^{5} - 150191 \, x^{4} - 80217 \, x^{3} + 32812 \, x^{2} + 8332 \, x - 3472\right)}\right)}\right)} \sqrt{\sqrt{3} + 3} - \sqrt{3} {\left(4 \, \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(432 \, \sqrt{3} \sqrt{2} {\left(216 \, x^{22} - 108 \, x^{21} - 3330 \, x^{20} - 781 \, x^{19} + 19165 \, x^{18} + 10195 \, x^{17} - 59851 \, x^{16} - 39556 \, x^{15} + 118857 \, x^{14} + 81429 \, x^{13} - 163917 \, x^{12} - 102318 \, x^{11} + 163917 \, x^{10} + 81429 \, x^{9} - 118857 \, x^{8} - 39556 \, x^{7} + 59851 \, x^{6} + 10195 \, x^{5} - 19165 \, x^{4} - 781 \, x^{3} + 3330 \, x^{2} - 108 \, x - 216\right)} + 32 \, \sqrt{2} {\left(2360 \, x^{22} - 8956 \, x^{21} - 45434 \, x^{20} + 45495 \, x^{19} + 282781 \, x^{18} - 53897 \, x^{17} - 907075 \, x^{16} - 128232 \, x^{15} + 1810289 \, x^{14} + 486953 \, x^{13} - 2492597 \, x^{12} - 681822 \, x^{11} + 2492597 \, x^{10} + 486953 \, x^{9} - 1810289 \, x^{8} - 128232 \, x^{7} + 907075 \, x^{6} - 53897 \, x^{5} - 282781 \, x^{4} + 45495 \, x^{3} + 45434 \, x^{2} - 8956 \, x - 2360\right)} + \sqrt{3} {\left(\sqrt{3} \sqrt{2} {\left(49986 \, x^{22} - 21657 \, x^{21} - 729134 \, x^{20} - 244380 \, x^{19} + 3857142 \, x^{18} + 2321683 \, x^{17} - 11301498 \, x^{16} - 7948080 \, x^{15} + 21680708 \, x^{14} + 15380790 \, x^{13} - 29524188 \, x^{12} - 18973992 \, x^{11} + 29524188 \, x^{10} + 15380790 \, x^{9} - 21680708 \, x^{8} - 7948080 \, x^{7} + 11301498 \, x^{6} + 2321683 \, x^{5} - 3857142 \, x^{4} - 244380 \, x^{3} + 729134 \, x^{2} - 21657 \, x - 49986\right)} + 9 \, \sqrt{2} {\left(7914 \, x^{22} - 16733 \, x^{21} - 158670 \, x^{20} + 22428 \, x^{19} + 945222 \, x^{18} + 334415 \, x^{17} - 2948658 \, x^{16} - 1612368 \, x^{15} + 5841252 \, x^{14} + 3501502 \, x^{13} - 8053356 \, x^{12} - 4458456 \, x^{11} + 8053356 \, x^{10} + 3501502 \, x^{9} - 5841252 \, x^{8} - 1612368 \, x^{7} + 2948658 \, x^{6} + 334415 \, x^{5} - 945222 \, x^{4} + 22428 \, x^{3} + 158670 \, x^{2} - 16733 \, x - 7914\right)}\right)}\right)} + {\left(3^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(74979 \, x^{24} + 33750 \, x^{23} - 1015776 \, x^{22} - 727438 \, x^{21} + 5840466 \, x^{20} + 4922886 \, x^{19} - 19783936 \, x^{18} - 17861550 \, x^{17} + 44413005 \, x^{16} + 40213276 \, x^{15} - 70337952 \, x^{14} - 59591436 \, x^{13} + 81608124 \, x^{12} + 59591436 \, x^{11} - 70337952 \, x^{10} - 40213276 \, x^{9} + 44413005 \, x^{8} + 17861550 \, x^{7} - 19783936 \, x^{6} - 4922886 \, x^{5} + 5840466 \, x^{4} + 727438 \, x^{3} - 1015776 \, x^{2} - 33750 \, x + 74979\right)} + 3 \, \sqrt{2} {\left(35613 \, x^{24} - 59994 \, x^{23} - 860868 \, x^{22} - 538030 \, x^{21} + 4822062 \, x^{20} + 5516742 \, x^{19} - 13789492 \, x^{18} - 20062302 \, x^{17} + 25455027 \, x^{16} + 42469276 \, x^{15} - 34669512 \, x^{14} - 60232236 \, x^{13} + 38019396 \, x^{12} + 60232236 \, x^{11} - 34669512 \, x^{10} - 42469276 \, x^{9} + 25455027 \, x^{8} + 20062302 \, x^{7} - 13789492 \, x^{6} - 5516742 \, x^{5} + 4822062 \, x^{4} + 538030 \, x^{3} - 860868 \, x^{2} + 59994 \, x + 35613\right)}\right)} + 16 \cdot 3^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(8748 \, x^{24} + 6944 \, x^{23} - 121117 \, x^{22} - 160313 \, x^{21} + 619191 \, x^{20} + 1046203 \, x^{19} - 1708067 \, x^{18} - 3496102 \, x^{17} + 3026016 \, x^{16} + 7267658 \, x^{15} - 3929656 \, x^{14} - 10279580 \, x^{13} + 4209066 \, x^{12} + 10279580 \, x^{11} - 3929656 \, x^{10} - 7267658 \, x^{9} + 3026016 \, x^{8} + 3496102 \, x^{7} - 1708067 \, x^{6} - 1046203 \, x^{5} + 619191 \, x^{4} + 160313 \, x^{3} - 121117 \, x^{2} - 6944 \, x + 8748\right)} + 2 \, \sqrt{2} {\left(3540 \, x^{24} - 15692 \, x^{23} - 97103 \, x^{22} + 65354 \, x^{21} + 679743 \, x^{20} + 42464 \, x^{19} - 2430064 \, x^{18} - 835238 \, x^{17} + 5489208 \, x^{16} + 2486254 \, x^{15} - 8660693 \, x^{14} - 3997426 \, x^{13} + 10030362 \, x^{12} + 3997426 \, x^{11} - 8660693 \, x^{10} - 2486254 \, x^{9} + 5489208 \, x^{8} + 835238 \, x^{7} - 2430064 \, x^{6} - 42464 \, x^{5} + 679743 \, x^{4} - 65354 \, x^{3} - 97103 \, x^{2} + 15692 \, x + 3540\right)}\right)}\right)} \sqrt{\sqrt{3} + 3}\right)} \sqrt{\frac{12 \, x^{4} + 12 \, x^{3} - 2 \cdot 3^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(3 \, x^{2} + \sqrt{3} {\left(x^{2} + 2 \, x - 1\right)} - 3\right)} \sqrt{\sqrt{3} + 3} - 12 \, x^{2} + 3 \, \sqrt{3} {\left(3 \, x^{4} + 4 \, x^{3} - 4 \, x^{2} - 4 \, x + 3\right)} - 12 \, x + 12}{x^{4} + 1}} + \sqrt{2} {\left(1420273 \, x^{24} + 4805532 \, x^{23} - 6990684 \, x^{22} - 56445924 \, x^{21} - 43034298 \, x^{20} + 217918452 \, x^{19} + 346132212 \, x^{18} - 428680524 \, x^{17} - 1032893025 \, x^{16} + 521844888 \, x^{15} + 1831043496 \, x^{14} - 492849576 \, x^{13} - 2191867756 \, x^{12} + 492849576 \, x^{11} + 1831043496 \, x^{10} - 521844888 \, x^{9} - 1032893025 \, x^{8} + 428680524 \, x^{7} + 346132212 \, x^{6} - 217918452 \, x^{5} - 43034298 \, x^{4} + 56445924 \, x^{3} - 6990684 \, x^{2} - 4805532 \, x + 1420273\right)} - 72 \, \sqrt{3} {\left(\sqrt{3} \sqrt{2} {\left(834 \, x^{24} + 28329 \, x^{23} + 57653 \, x^{22} - 228636 \, x^{21} - 623670 \, x^{20} + 704868 \, x^{19} + 2721145 \, x^{18} - 1036077 \, x^{17} - 6845226 \, x^{16} + 627714 \, x^{15} + 11408354 \, x^{14} + 112296 \, x^{13} - 13436772 \, x^{12} - 112296 \, x^{11} + 11408354 \, x^{10} - 627714 \, x^{9} - 6845226 \, x^{8} + 1036077 \, x^{7} + 2721145 \, x^{6} - 704868 \, x^{5} - 623670 \, x^{4} + 228636 \, x^{3} + 57653 \, x^{2} - 28329 \, x + 834\right)} - \sqrt{2} {\left(9582 \, x^{24} + 23819 \, x^{23} - 41279 \, x^{22} - 134546 \, x^{21} + 94356 \, x^{20} + 385810 \, x^{19} - 178747 \, x^{18} - 779191 \, x^{17} + 283986 \, x^{16} + 1208534 \, x^{15} - 367862 \, x^{14} - 1491188 \, x^{13} + 398424 \, x^{12} + 1491188 \, x^{11} - 367862 \, x^{10} - 1208534 \, x^{9} + 283986 \, x^{8} + 779191 \, x^{7} - 178747 \, x^{6} - 385810 \, x^{5} + 94356 \, x^{4} + 134546 \, x^{3} - 41279 \, x^{2} - 23819 \, x + 9582\right)}\right)}}{2 \, {\left(1246223 \, x^{24} + 2293920 \, x^{23} - 26548320 \, x^{22} - 65287680 \, x^{21} + 127861530 \, x^{20} + 421996416 \, x^{19} - 268833120 \, x^{18} - 1372131744 \, x^{17} + 254704353 \, x^{16} + 2785350336 \, x^{15} - 28287552 \, x^{14} - 3887482752 \, x^{13} - 120055892 \, x^{12} + 3887482752 \, x^{11} - 28287552 \, x^{10} - 2785350336 \, x^{9} + 254704353 \, x^{8} + 1372131744 \, x^{7} - 268833120 \, x^{6} - 421996416 \, x^{5} + 127861530 \, x^{4} + 65287680 \, x^{3} - 26548320 \, x^{2} - 2293920 \, x + 1246223\right)}}\right)"," ",0,"-1/24*3^(1/4)*sqrt(sqrt(3) + 3)*(sqrt(3) - 1)*log(3*(12*x^4 + 12*x^3 + 2*3^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(3*x^2 + sqrt(3)*(x^2 + 2*x - 1) - 3)*sqrt(sqrt(3) + 3) - 12*x^2 + 3*sqrt(3)*(3*x^4 + 4*x^3 - 4*x^2 - 4*x + 3) - 12*x + 12)/(x^4 + 1)) + 1/24*3^(1/4)*sqrt(sqrt(3) + 3)*(sqrt(3) - 1)*log(3*(12*x^4 + 12*x^3 - 2*3^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(3*x^2 + sqrt(3)*(x^2 + 2*x - 1) - 3)*sqrt(sqrt(3) + 3) - 12*x^2 + 3*sqrt(3)*(3*x^4 + 4*x^3 - 4*x^2 - 4*x + 3) - 12*x + 12)/(x^4 + 1)) - 1/6*3^(1/4)*sqrt(2)*sqrt(sqrt(3) + 3)*arctan(1/2*(27*sqrt(3)*sqrt(2)*(7965*x^24 - 86940*x^23 - 452052*x^22 + 26692*x^21 + 2473150*x^20 + 1471532*x^19 - 6805092*x^18 - 5527220*x^17 + 12746227*x^16 + 11019368*x^15 - 18256392*x^14 - 15014808*x^13 + 20562084*x^12 + 15014808*x^11 - 18256392*x^10 - 11019368*x^9 + 12746227*x^8 + 5527220*x^7 - 6805092*x^6 - 1471532*x^5 + 2473150*x^4 - 26692*x^3 - 452052*x^2 + 86940*x + 7965) + 6*sqrt(x^4 + x^3 - x^2 - x + 1)*(3*3^(3/4)*(sqrt(3)*sqrt(2)*(1251*x^22 + 53118*x^21 + 152273*x^20 - 226152*x^19 - 1135173*x^18 + 64070*x^17 + 3658401*x^16 + 1370976*x^15 - 7090226*x^14 - 3772836*x^13 + 9542874*x^12 + 5019024*x^11 - 9542874*x^10 - 3772836*x^9 + 7090226*x^8 + 1370976*x^7 - 3658401*x^6 + 64070*x^5 + 1135173*x^4 - 226152*x^3 - 152273*x^2 + 53118*x - 1251) - sqrt(2)*(14373*x^22 + 50208*x^21 + 74455*x^20 + 37936*x^19 - 510931*x^18 - 1380336*x^17 + 818695*x^16 + 5137984*x^15 + 96914*x^14 - 9942384*x^13 - 1619802*x^12 + 12190752*x^11 + 1619802*x^10 - 9942384*x^9 - 96914*x^8 + 5137984*x^7 - 818695*x^6 - 1380336*x^5 + 510931*x^4 + 37936*x^3 - 74455*x^2 + 50208*x - 14373)) + 16*3^(1/4)*(sqrt(3)*sqrt(2)*(4028*x^22 + 21940*x^21 - 28445*x^20 - 217872*x^19 + 40111*x^18 + 938897*x^17 + 155918*x^16 - 2366280*x^15 - 698062*x^14 + 3957631*x^13 + 1245100*x^12 - 4670064*x^11 - 1245100*x^10 + 3957631*x^9 + 698062*x^8 - 2366280*x^7 - 155918*x^6 + 938897*x^5 - 40111*x^4 - 217872*x^3 + 28445*x^2 + 21940*x - 4028) - 3*sqrt(2)*(3472*x^22 + 8332*x^21 - 32812*x^20 - 80217*x^19 + 150191*x^18 + 366569*x^17 - 418571*x^16 - 1012572*x^15 + 777121*x^14 + 1821679*x^13 - 1031713*x^12 - 2206854*x^11 + 1031713*x^10 + 1821679*x^9 - 777121*x^8 - 1012572*x^7 + 418571*x^6 + 366569*x^5 - 150191*x^4 - 80217*x^3 + 32812*x^2 + 8332*x - 3472)))*sqrt(sqrt(3) + 3) - sqrt(3)*(4*sqrt(x^4 + x^3 - x^2 - x + 1)*(432*sqrt(3)*sqrt(2)*(216*x^22 - 108*x^21 - 3330*x^20 - 781*x^19 + 19165*x^18 + 10195*x^17 - 59851*x^16 - 39556*x^15 + 118857*x^14 + 81429*x^13 - 163917*x^12 - 102318*x^11 + 163917*x^10 + 81429*x^9 - 118857*x^8 - 39556*x^7 + 59851*x^6 + 10195*x^5 - 19165*x^4 - 781*x^3 + 3330*x^2 - 108*x - 216) + 32*sqrt(2)*(2360*x^22 - 8956*x^21 - 45434*x^20 + 45495*x^19 + 282781*x^18 - 53897*x^17 - 907075*x^16 - 128232*x^15 + 1810289*x^14 + 486953*x^13 - 2492597*x^12 - 681822*x^11 + 2492597*x^10 + 486953*x^9 - 1810289*x^8 - 128232*x^7 + 907075*x^6 - 53897*x^5 - 282781*x^4 + 45495*x^3 + 45434*x^2 - 8956*x - 2360) + sqrt(3)*(sqrt(3)*sqrt(2)*(49986*x^22 - 21657*x^21 - 729134*x^20 - 244380*x^19 + 3857142*x^18 + 2321683*x^17 - 11301498*x^16 - 7948080*x^15 + 21680708*x^14 + 15380790*x^13 - 29524188*x^12 - 18973992*x^11 + 29524188*x^10 + 15380790*x^9 - 21680708*x^8 - 7948080*x^7 + 11301498*x^6 + 2321683*x^5 - 3857142*x^4 - 244380*x^3 + 729134*x^2 - 21657*x - 49986) + 9*sqrt(2)*(7914*x^22 - 16733*x^21 - 158670*x^20 + 22428*x^19 + 945222*x^18 + 334415*x^17 - 2948658*x^16 - 1612368*x^15 + 5841252*x^14 + 3501502*x^13 - 8053356*x^12 - 4458456*x^11 + 8053356*x^10 + 3501502*x^9 - 5841252*x^8 - 1612368*x^7 + 2948658*x^6 + 334415*x^5 - 945222*x^4 + 22428*x^3 + 158670*x^2 - 16733*x - 7914))) - (3^(3/4)*(sqrt(3)*sqrt(2)*(74979*x^24 + 33750*x^23 - 1015776*x^22 - 727438*x^21 + 5840466*x^20 + 4922886*x^19 - 19783936*x^18 - 17861550*x^17 + 44413005*x^16 + 40213276*x^15 - 70337952*x^14 - 59591436*x^13 + 81608124*x^12 + 59591436*x^11 - 70337952*x^10 - 40213276*x^9 + 44413005*x^8 + 17861550*x^7 - 19783936*x^6 - 4922886*x^5 + 5840466*x^4 + 727438*x^3 - 1015776*x^2 - 33750*x + 74979) + 3*sqrt(2)*(35613*x^24 - 59994*x^23 - 860868*x^22 - 538030*x^21 + 4822062*x^20 + 5516742*x^19 - 13789492*x^18 - 20062302*x^17 + 25455027*x^16 + 42469276*x^15 - 34669512*x^14 - 60232236*x^13 + 38019396*x^12 + 60232236*x^11 - 34669512*x^10 - 42469276*x^9 + 25455027*x^8 + 20062302*x^7 - 13789492*x^6 - 5516742*x^5 + 4822062*x^4 + 538030*x^3 - 860868*x^2 + 59994*x + 35613)) + 16*3^(1/4)*(sqrt(3)*sqrt(2)*(8748*x^24 + 6944*x^23 - 121117*x^22 - 160313*x^21 + 619191*x^20 + 1046203*x^19 - 1708067*x^18 - 3496102*x^17 + 3026016*x^16 + 7267658*x^15 - 3929656*x^14 - 10279580*x^13 + 4209066*x^12 + 10279580*x^11 - 3929656*x^10 - 7267658*x^9 + 3026016*x^8 + 3496102*x^7 - 1708067*x^6 - 1046203*x^5 + 619191*x^4 + 160313*x^3 - 121117*x^2 - 6944*x + 8748) + 2*sqrt(2)*(3540*x^24 - 15692*x^23 - 97103*x^22 + 65354*x^21 + 679743*x^20 + 42464*x^19 - 2430064*x^18 - 835238*x^17 + 5489208*x^16 + 2486254*x^15 - 8660693*x^14 - 3997426*x^13 + 10030362*x^12 + 3997426*x^11 - 8660693*x^10 - 2486254*x^9 + 5489208*x^8 + 835238*x^7 - 2430064*x^6 - 42464*x^5 + 679743*x^4 - 65354*x^3 - 97103*x^2 + 15692*x + 3540)))*sqrt(sqrt(3) + 3))*sqrt((12*x^4 + 12*x^3 + 2*3^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(3*x^2 + sqrt(3)*(x^2 + 2*x - 1) - 3)*sqrt(sqrt(3) + 3) - 12*x^2 + 3*sqrt(3)*(3*x^4 + 4*x^3 - 4*x^2 - 4*x + 3) - 12*x + 12)/(x^4 + 1)) + sqrt(2)*(1420273*x^24 + 4805532*x^23 - 6990684*x^22 - 56445924*x^21 - 43034298*x^20 + 217918452*x^19 + 346132212*x^18 - 428680524*x^17 - 1032893025*x^16 + 521844888*x^15 + 1831043496*x^14 - 492849576*x^13 - 2191867756*x^12 + 492849576*x^11 + 1831043496*x^10 - 521844888*x^9 - 1032893025*x^8 + 428680524*x^7 + 346132212*x^6 - 217918452*x^5 - 43034298*x^4 + 56445924*x^3 - 6990684*x^2 - 4805532*x + 1420273) - 72*sqrt(3)*(sqrt(3)*sqrt(2)*(834*x^24 + 28329*x^23 + 57653*x^22 - 228636*x^21 - 623670*x^20 + 704868*x^19 + 2721145*x^18 - 1036077*x^17 - 6845226*x^16 + 627714*x^15 + 11408354*x^14 + 112296*x^13 - 13436772*x^12 - 112296*x^11 + 11408354*x^10 - 627714*x^9 - 6845226*x^8 + 1036077*x^7 + 2721145*x^6 - 704868*x^5 - 623670*x^4 + 228636*x^3 + 57653*x^2 - 28329*x + 834) - sqrt(2)*(9582*x^24 + 23819*x^23 - 41279*x^22 - 134546*x^21 + 94356*x^20 + 385810*x^19 - 178747*x^18 - 779191*x^17 + 283986*x^16 + 1208534*x^15 - 367862*x^14 - 1491188*x^13 + 398424*x^12 + 1491188*x^11 - 367862*x^10 - 1208534*x^9 + 283986*x^8 + 779191*x^7 - 178747*x^6 - 385810*x^5 + 94356*x^4 + 134546*x^3 - 41279*x^2 - 23819*x + 9582)))/(1246223*x^24 + 2293920*x^23 - 26548320*x^22 - 65287680*x^21 + 127861530*x^20 + 421996416*x^19 - 268833120*x^18 - 1372131744*x^17 + 254704353*x^16 + 2785350336*x^15 - 28287552*x^14 - 3887482752*x^13 - 120055892*x^12 + 3887482752*x^11 - 28287552*x^10 - 2785350336*x^9 + 254704353*x^8 + 1372131744*x^7 - 268833120*x^6 - 421996416*x^5 + 127861530*x^4 + 65287680*x^3 - 26548320*x^2 - 2293920*x + 1246223)) - 1/6*3^(1/4)*sqrt(2)*sqrt(sqrt(3) + 3)*arctan(-1/2*(27*sqrt(3)*sqrt(2)*(7965*x^24 - 86940*x^23 - 452052*x^22 + 26692*x^21 + 2473150*x^20 + 1471532*x^19 - 6805092*x^18 - 5527220*x^17 + 12746227*x^16 + 11019368*x^15 - 18256392*x^14 - 15014808*x^13 + 20562084*x^12 + 15014808*x^11 - 18256392*x^10 - 11019368*x^9 + 12746227*x^8 + 5527220*x^7 - 6805092*x^6 - 1471532*x^5 + 2473150*x^4 - 26692*x^3 - 452052*x^2 + 86940*x + 7965) - 6*sqrt(x^4 + x^3 - x^2 - x + 1)*(3*3^(3/4)*(sqrt(3)*sqrt(2)*(1251*x^22 + 53118*x^21 + 152273*x^20 - 226152*x^19 - 1135173*x^18 + 64070*x^17 + 3658401*x^16 + 1370976*x^15 - 7090226*x^14 - 3772836*x^13 + 9542874*x^12 + 5019024*x^11 - 9542874*x^10 - 3772836*x^9 + 7090226*x^8 + 1370976*x^7 - 3658401*x^6 + 64070*x^5 + 1135173*x^4 - 226152*x^3 - 152273*x^2 + 53118*x - 1251) - sqrt(2)*(14373*x^22 + 50208*x^21 + 74455*x^20 + 37936*x^19 - 510931*x^18 - 1380336*x^17 + 818695*x^16 + 5137984*x^15 + 96914*x^14 - 9942384*x^13 - 1619802*x^12 + 12190752*x^11 + 1619802*x^10 - 9942384*x^9 - 96914*x^8 + 5137984*x^7 - 818695*x^6 - 1380336*x^5 + 510931*x^4 + 37936*x^3 - 74455*x^2 + 50208*x - 14373)) + 16*3^(1/4)*(sqrt(3)*sqrt(2)*(4028*x^22 + 21940*x^21 - 28445*x^20 - 217872*x^19 + 40111*x^18 + 938897*x^17 + 155918*x^16 - 2366280*x^15 - 698062*x^14 + 3957631*x^13 + 1245100*x^12 - 4670064*x^11 - 1245100*x^10 + 3957631*x^9 + 698062*x^8 - 2366280*x^7 - 155918*x^6 + 938897*x^5 - 40111*x^4 - 217872*x^3 + 28445*x^2 + 21940*x - 4028) - 3*sqrt(2)*(3472*x^22 + 8332*x^21 - 32812*x^20 - 80217*x^19 + 150191*x^18 + 366569*x^17 - 418571*x^16 - 1012572*x^15 + 777121*x^14 + 1821679*x^13 - 1031713*x^12 - 2206854*x^11 + 1031713*x^10 + 1821679*x^9 - 777121*x^8 - 1012572*x^7 + 418571*x^6 + 366569*x^5 - 150191*x^4 - 80217*x^3 + 32812*x^2 + 8332*x - 3472)))*sqrt(sqrt(3) + 3) - sqrt(3)*(4*sqrt(x^4 + x^3 - x^2 - x + 1)*(432*sqrt(3)*sqrt(2)*(216*x^22 - 108*x^21 - 3330*x^20 - 781*x^19 + 19165*x^18 + 10195*x^17 - 59851*x^16 - 39556*x^15 + 118857*x^14 + 81429*x^13 - 163917*x^12 - 102318*x^11 + 163917*x^10 + 81429*x^9 - 118857*x^8 - 39556*x^7 + 59851*x^6 + 10195*x^5 - 19165*x^4 - 781*x^3 + 3330*x^2 - 108*x - 216) + 32*sqrt(2)*(2360*x^22 - 8956*x^21 - 45434*x^20 + 45495*x^19 + 282781*x^18 - 53897*x^17 - 907075*x^16 - 128232*x^15 + 1810289*x^14 + 486953*x^13 - 2492597*x^12 - 681822*x^11 + 2492597*x^10 + 486953*x^9 - 1810289*x^8 - 128232*x^7 + 907075*x^6 - 53897*x^5 - 282781*x^4 + 45495*x^3 + 45434*x^2 - 8956*x - 2360) + sqrt(3)*(sqrt(3)*sqrt(2)*(49986*x^22 - 21657*x^21 - 729134*x^20 - 244380*x^19 + 3857142*x^18 + 2321683*x^17 - 11301498*x^16 - 7948080*x^15 + 21680708*x^14 + 15380790*x^13 - 29524188*x^12 - 18973992*x^11 + 29524188*x^10 + 15380790*x^9 - 21680708*x^8 - 7948080*x^7 + 11301498*x^6 + 2321683*x^5 - 3857142*x^4 - 244380*x^3 + 729134*x^2 - 21657*x - 49986) + 9*sqrt(2)*(7914*x^22 - 16733*x^21 - 158670*x^20 + 22428*x^19 + 945222*x^18 + 334415*x^17 - 2948658*x^16 - 1612368*x^15 + 5841252*x^14 + 3501502*x^13 - 8053356*x^12 - 4458456*x^11 + 8053356*x^10 + 3501502*x^9 - 5841252*x^8 - 1612368*x^7 + 2948658*x^6 + 334415*x^5 - 945222*x^4 + 22428*x^3 + 158670*x^2 - 16733*x - 7914))) + (3^(3/4)*(sqrt(3)*sqrt(2)*(74979*x^24 + 33750*x^23 - 1015776*x^22 - 727438*x^21 + 5840466*x^20 + 4922886*x^19 - 19783936*x^18 - 17861550*x^17 + 44413005*x^16 + 40213276*x^15 - 70337952*x^14 - 59591436*x^13 + 81608124*x^12 + 59591436*x^11 - 70337952*x^10 - 40213276*x^9 + 44413005*x^8 + 17861550*x^7 - 19783936*x^6 - 4922886*x^5 + 5840466*x^4 + 727438*x^3 - 1015776*x^2 - 33750*x + 74979) + 3*sqrt(2)*(35613*x^24 - 59994*x^23 - 860868*x^22 - 538030*x^21 + 4822062*x^20 + 5516742*x^19 - 13789492*x^18 - 20062302*x^17 + 25455027*x^16 + 42469276*x^15 - 34669512*x^14 - 60232236*x^13 + 38019396*x^12 + 60232236*x^11 - 34669512*x^10 - 42469276*x^9 + 25455027*x^8 + 20062302*x^7 - 13789492*x^6 - 5516742*x^5 + 4822062*x^4 + 538030*x^3 - 860868*x^2 + 59994*x + 35613)) + 16*3^(1/4)*(sqrt(3)*sqrt(2)*(8748*x^24 + 6944*x^23 - 121117*x^22 - 160313*x^21 + 619191*x^20 + 1046203*x^19 - 1708067*x^18 - 3496102*x^17 + 3026016*x^16 + 7267658*x^15 - 3929656*x^14 - 10279580*x^13 + 4209066*x^12 + 10279580*x^11 - 3929656*x^10 - 7267658*x^9 + 3026016*x^8 + 3496102*x^7 - 1708067*x^6 - 1046203*x^5 + 619191*x^4 + 160313*x^3 - 121117*x^2 - 6944*x + 8748) + 2*sqrt(2)*(3540*x^24 - 15692*x^23 - 97103*x^22 + 65354*x^21 + 679743*x^20 + 42464*x^19 - 2430064*x^18 - 835238*x^17 + 5489208*x^16 + 2486254*x^15 - 8660693*x^14 - 3997426*x^13 + 10030362*x^12 + 3997426*x^11 - 8660693*x^10 - 2486254*x^9 + 5489208*x^8 + 835238*x^7 - 2430064*x^6 - 42464*x^5 + 679743*x^4 - 65354*x^3 - 97103*x^2 + 15692*x + 3540)))*sqrt(sqrt(3) + 3))*sqrt((12*x^4 + 12*x^3 - 2*3^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(3*x^2 + sqrt(3)*(x^2 + 2*x - 1) - 3)*sqrt(sqrt(3) + 3) - 12*x^2 + 3*sqrt(3)*(3*x^4 + 4*x^3 - 4*x^2 - 4*x + 3) - 12*x + 12)/(x^4 + 1)) + sqrt(2)*(1420273*x^24 + 4805532*x^23 - 6990684*x^22 - 56445924*x^21 - 43034298*x^20 + 217918452*x^19 + 346132212*x^18 - 428680524*x^17 - 1032893025*x^16 + 521844888*x^15 + 1831043496*x^14 - 492849576*x^13 - 2191867756*x^12 + 492849576*x^11 + 1831043496*x^10 - 521844888*x^9 - 1032893025*x^8 + 428680524*x^7 + 346132212*x^6 - 217918452*x^5 - 43034298*x^4 + 56445924*x^3 - 6990684*x^2 - 4805532*x + 1420273) - 72*sqrt(3)*(sqrt(3)*sqrt(2)*(834*x^24 + 28329*x^23 + 57653*x^22 - 228636*x^21 - 623670*x^20 + 704868*x^19 + 2721145*x^18 - 1036077*x^17 - 6845226*x^16 + 627714*x^15 + 11408354*x^14 + 112296*x^13 - 13436772*x^12 - 112296*x^11 + 11408354*x^10 - 627714*x^9 - 6845226*x^8 + 1036077*x^7 + 2721145*x^6 - 704868*x^5 - 623670*x^4 + 228636*x^3 + 57653*x^2 - 28329*x + 834) - sqrt(2)*(9582*x^24 + 23819*x^23 - 41279*x^22 - 134546*x^21 + 94356*x^20 + 385810*x^19 - 178747*x^18 - 779191*x^17 + 283986*x^16 + 1208534*x^15 - 367862*x^14 - 1491188*x^13 + 398424*x^12 + 1491188*x^11 - 367862*x^10 - 1208534*x^9 + 283986*x^8 + 779191*x^7 - 178747*x^6 - 385810*x^5 + 94356*x^4 + 134546*x^3 - 41279*x^2 - 23819*x + 9582)))/(1246223*x^24 + 2293920*x^23 - 26548320*x^22 - 65287680*x^21 + 127861530*x^20 + 421996416*x^19 - 268833120*x^18 - 1372131744*x^17 + 254704353*x^16 + 2785350336*x^15 - 28287552*x^14 - 3887482752*x^13 - 120055892*x^12 + 3887482752*x^11 - 28287552*x^10 - 2785350336*x^9 + 254704353*x^8 + 1372131744*x^7 - 268833120*x^6 - 421996416*x^5 + 127861530*x^4 + 65287680*x^3 - 26548320*x^2 - 2293920*x + 1246223))","B",0
1784,-1,0,0,0.000000," ","integrate((a*x^8+b)/x^6/(a*x^4-b)/(a*x^4+b)^(3/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1785,-1,0,0,0.000000," ","integrate((2*a*x^4-b)/(a*x^4-b)^(1/4)/(2*a*x^8-c*x^4-2*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1786,-1,0,0,0.000000," ","integrate((2*a*x^4-b)/(a*x^4-b)^(1/4)/(2*a*x^8-c*x^4-2*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1787,-1,0,0,0.000000," ","integrate((-a*b-a*c+3*b*c+2*(a-b-c)*x+x^2)/((-a+x)*(-b+x)*(-c+x))^(1/4)/(-a^3-b*c*d+(3*a^2+b*d+c*d)*x-(3*a+d)*x^2+x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1788,-1,0,0,0.000000," ","integrate(1/(a*x-b)/(a^2*x^3+b^2*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1789,1,150,0,0.757020," ","integrate((x^2+2)*(x^2-2*x-2)*(x^4-3*x^2+4)^(1/2)/x^2/(x^2-2)/(2*x^2+x-4),x, algorithm=""fricas"")","\frac{5 \, \sqrt{5} x \log\left(\frac{6 \, x^{4} - 4 \, x^{3} + 2 \, \sqrt{5} \sqrt{x^{4} - 3 \, x^{2} + 4} {\left(x^{2} - 2 \, x - 2\right)} - 15 \, x^{2} + 8 \, x + 24}{4 \, x^{4} + 4 \, x^{3} - 15 \, x^{2} - 8 \, x + 16}\right) + 16 \, x \log\left(-\frac{x + \sqrt{x^{4} - 3 \, x^{2} + 4}}{x^{2} - 2}\right) + 10 \, x \log\left(-\frac{x^{2} - \sqrt{x^{4} - 3 \, x^{2} + 4} - 2}{x}\right) + 4 \, \sqrt{x^{4} - 3 \, x^{2} + 4}}{8 \, x}"," ",0,"1/8*(5*sqrt(5)*x*log((6*x^4 - 4*x^3 + 2*sqrt(5)*sqrt(x^4 - 3*x^2 + 4)*(x^2 - 2*x - 2) - 15*x^2 + 8*x + 24)/(4*x^4 + 4*x^3 - 15*x^2 - 8*x + 16)) + 16*x*log(-(x + sqrt(x^4 - 3*x^2 + 4))/(x^2 - 2)) + 10*x*log(-(x^2 - sqrt(x^4 - 3*x^2 + 4) - 2)/x) + 4*sqrt(x^4 - 3*x^2 + 4))/x","A",0
1790,1,307,0,3.805889," ","integrate((1+x)/(-1+x)/(x^4+x^2)^(1/3),x, algorithm=""fricas"")","-\frac{1}{6} \cdot 4^{\frac{1}{3}} \sqrt{3} \arctan\left(\frac{3 \cdot 4^{\frac{2}{3}} \sqrt{3} {\left(x^{4} + 2 \, x^{3} - 6 \, x^{2} + 2 \, x + 1\right)} {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} + 6 \cdot 4^{\frac{1}{3}} \sqrt{3} {\left(x^{5} + 14 \, x^{4} + 6 \, x^{3} + 14 \, x^{2} + x\right)} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} + \sqrt{3} {\left(x^{7} + 30 \, x^{6} + 51 \, x^{5} + 52 \, x^{4} + 51 \, x^{3} + 30 \, x^{2} + x\right)}}{3 \, {\left(x^{7} - 6 \, x^{6} - 93 \, x^{5} - 20 \, x^{4} - 93 \, x^{3} - 6 \, x^{2} + x\right)}}\right) - \frac{1}{12} \cdot 4^{\frac{1}{3}} \log\left(\frac{6 \cdot 4^{\frac{1}{3}} {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} {\left(x^{2} + 4 \, x + 1\right)} + 4^{\frac{2}{3}} {\left(x^{5} + 14 \, x^{4} + 6 \, x^{3} + 14 \, x^{2} + x\right)} + 24 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} + x^{2} + x\right)}}{x^{5} - 4 \, x^{4} + 6 \, x^{3} - 4 \, x^{2} + x}\right) + \frac{1}{6} \cdot 4^{\frac{1}{3}} \log\left(-\frac{3 \cdot 4^{\frac{2}{3}} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} x + 4^{\frac{1}{3}} {\left(x^{3} - 2 \, x^{2} + x\right)} - 6 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}}}{x^{3} - 2 \, x^{2} + x}\right)"," ",0,"-1/6*4^(1/3)*sqrt(3)*arctan(1/3*(3*4^(2/3)*sqrt(3)*(x^4 + 2*x^3 - 6*x^2 + 2*x + 1)*(x^4 + x^2)^(2/3) + 6*4^(1/3)*sqrt(3)*(x^5 + 14*x^4 + 6*x^3 + 14*x^2 + x)*(x^4 + x^2)^(1/3) + sqrt(3)*(x^7 + 30*x^6 + 51*x^5 + 52*x^4 + 51*x^3 + 30*x^2 + x))/(x^7 - 6*x^6 - 93*x^5 - 20*x^4 - 93*x^3 - 6*x^2 + x)) - 1/12*4^(1/3)*log((6*4^(1/3)*(x^4 + x^2)^(2/3)*(x^2 + 4*x + 1) + 4^(2/3)*(x^5 + 14*x^4 + 6*x^3 + 14*x^2 + x) + 24*(x^4 + x^2)^(1/3)*(x^3 + x^2 + x))/(x^5 - 4*x^4 + 6*x^3 - 4*x^2 + x)) + 1/6*4^(1/3)*log(-(3*4^(2/3)*(x^4 + x^2)^(1/3)*x + 4^(1/3)*(x^3 - 2*x^2 + x) - 6*(x^4 + x^2)^(2/3))/(x^3 - 2*x^2 + x))","B",0
1791,1,344,0,0.733344," ","integrate((a^4*x^4-b^2)/(a^2*x^3+b*x)^(1/2)/(a^4*x^4+b^2),x, algorithm=""fricas"")","-\left(\frac{1}{2}\right)^{\frac{1}{4}} \left(\frac{1}{a^{2} b}\right)^{\frac{1}{4}} \arctan\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{3}{4}} \sqrt{a^{2} x^{3} + b x} a^{2} b \left(\frac{1}{a^{2} b}\right)^{\frac{3}{4}}}{a^{2} x^{2} + b}\right) - \frac{1}{4} \, \left(\frac{1}{2}\right)^{\frac{1}{4}} \left(\frac{1}{a^{2} b}\right)^{\frac{1}{4}} \log\left(\frac{a^{4} x^{4} + 4 \, a^{2} b x^{2} + b^{2} + 4 \, \sqrt{\frac{1}{2}} {\left(a^{4} b x^{3} + a^{2} b^{2} x\right)} \sqrt{\frac{1}{a^{2} b}} + 4 \, \sqrt{a^{2} x^{3} + b x} {\left(\left(\frac{1}{2}\right)^{\frac{1}{4}} a^{2} b x \left(\frac{1}{a^{2} b}\right)^{\frac{1}{4}} + \left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(a^{4} b x^{2} + a^{2} b^{2}\right)} \left(\frac{1}{a^{2} b}\right)^{\frac{3}{4}}\right)}}{a^{4} x^{4} + b^{2}}\right) + \frac{1}{4} \, \left(\frac{1}{2}\right)^{\frac{1}{4}} \left(\frac{1}{a^{2} b}\right)^{\frac{1}{4}} \log\left(\frac{a^{4} x^{4} + 4 \, a^{2} b x^{2} + b^{2} + 4 \, \sqrt{\frac{1}{2}} {\left(a^{4} b x^{3} + a^{2} b^{2} x\right)} \sqrt{\frac{1}{a^{2} b}} - 4 \, \sqrt{a^{2} x^{3} + b x} {\left(\left(\frac{1}{2}\right)^{\frac{1}{4}} a^{2} b x \left(\frac{1}{a^{2} b}\right)^{\frac{1}{4}} + \left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(a^{4} b x^{2} + a^{2} b^{2}\right)} \left(\frac{1}{a^{2} b}\right)^{\frac{3}{4}}\right)}}{a^{4} x^{4} + b^{2}}\right)"," ",0,"-(1/2)^(1/4)*(1/(a^2*b))^(1/4)*arctan(2*(1/2)^(3/4)*sqrt(a^2*x^3 + b*x)*a^2*b*(1/(a^2*b))^(3/4)/(a^2*x^2 + b)) - 1/4*(1/2)^(1/4)*(1/(a^2*b))^(1/4)*log((a^4*x^4 + 4*a^2*b*x^2 + b^2 + 4*sqrt(1/2)*(a^4*b*x^3 + a^2*b^2*x)*sqrt(1/(a^2*b)) + 4*sqrt(a^2*x^3 + b*x)*((1/2)^(1/4)*a^2*b*x*(1/(a^2*b))^(1/4) + (1/2)^(3/4)*(a^4*b*x^2 + a^2*b^2)*(1/(a^2*b))^(3/4)))/(a^4*x^4 + b^2)) + 1/4*(1/2)^(1/4)*(1/(a^2*b))^(1/4)*log((a^4*x^4 + 4*a^2*b*x^2 + b^2 + 4*sqrt(1/2)*(a^4*b*x^3 + a^2*b^2*x)*sqrt(1/(a^2*b)) - 4*sqrt(a^2*x^3 + b*x)*((1/2)^(1/4)*a^2*b*x*(1/(a^2*b))^(1/4) + (1/2)^(3/4)*(a^4*b*x^2 + a^2*b^2)*(1/(a^2*b))^(3/4)))/(a^4*x^4 + b^2))","B",0
1792,1,320,0,3.838873," ","integrate((x^2-1)/(x^2+1)/(x^5+x)^(1/3),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{3} 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} 2^{\frac{1}{6}} {\left(12 \cdot 2^{\frac{1}{6}} \left(-1\right)^{\frac{2}{3}} {\left(x^{8} - 14 \, x^{6} + 6 \, x^{4} - 14 \, x^{2} + 1\right)} {\left(x^{5} + x\right)}^{\frac{2}{3}} - 24 \, \sqrt{2} \left(-1\right)^{\frac{1}{3}} {\left(x^{9} + x^{7} + x^{3} + x\right)} {\left(x^{5} + x\right)}^{\frac{1}{3}} + 2^{\frac{5}{6}} {\left(x^{12} + 24 \, x^{10} - 57 \, x^{8} + 56 \, x^{6} - 57 \, x^{4} + 24 \, x^{2} + 1\right)}\right)}}{6 \, {\left(x^{12} - 48 \, x^{10} + 15 \, x^{8} - 88 \, x^{6} + 15 \, x^{4} - 48 \, x^{2} + 1\right)}}\right) - \frac{1}{24} \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(\frac{12 \cdot 2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{5} - x^{3} + x\right)} {\left(x^{5} + x\right)}^{\frac{1}{3}} - 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{8} - 14 \, x^{6} + 6 \, x^{4} - 14 \, x^{2} + 1\right)} - 6 \, {\left(x^{5} + x\right)}^{\frac{2}{3}} {\left(x^{4} - 4 \, x^{2} + 1\right)}}{x^{8} + 4 \, x^{6} + 6 \, x^{4} + 4 \, x^{2} + 1}\right) + \frac{1}{12} \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(-\frac{2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{4} + 2 \, x^{2} + 1\right)} - 3 \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{5} + x\right)}^{\frac{2}{3}} + 6 \, {\left(x^{5} + x\right)}^{\frac{1}{3}} x}{x^{4} + 2 \, x^{2} + 1}\right)"," ",0,"1/12*sqrt(3)*2^(2/3)*(-1)^(1/3)*arctan(1/6*sqrt(3)*2^(1/6)*(12*2^(1/6)*(-1)^(2/3)*(x^8 - 14*x^6 + 6*x^4 - 14*x^2 + 1)*(x^5 + x)^(2/3) - 24*sqrt(2)*(-1)^(1/3)*(x^9 + x^7 + x^3 + x)*(x^5 + x)^(1/3) + 2^(5/6)*(x^12 + 24*x^10 - 57*x^8 + 56*x^6 - 57*x^4 + 24*x^2 + 1))/(x^12 - 48*x^10 + 15*x^8 - 88*x^6 + 15*x^4 - 48*x^2 + 1)) - 1/24*2^(2/3)*(-1)^(1/3)*log((12*2^(1/3)*(-1)^(2/3)*(x^5 - x^3 + x)*(x^5 + x)^(1/3) - 2^(2/3)*(-1)^(1/3)*(x^8 - 14*x^6 + 6*x^4 - 14*x^2 + 1) - 6*(x^5 + x)^(2/3)*(x^4 - 4*x^2 + 1))/(x^8 + 4*x^6 + 6*x^4 + 4*x^2 + 1)) + 1/12*2^(2/3)*(-1)^(1/3)*log(-(2^(1/3)*(-1)^(2/3)*(x^4 + 2*x^2 + 1) - 3*2^(2/3)*(-1)^(1/3)*(x^5 + x)^(2/3) + 6*(x^5 + x)^(1/3)*x)/(x^4 + 2*x^2 + 1))","B",0
1793,-1,0,0,0.000000," ","integrate((x^4+1)*(x^4-x^2)^(1/4)/(x^8+x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1794,-1,0,0,0.000000," ","integrate((x^4+1)*(x^4-x^2)^(1/4)/(x^8+x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1795,1,456,0,0.650126," ","integrate((2*x^8-2*x^4+1)/(x^4-1)^(1/4)/(2*x^8-x^4-2),x, algorithm=""fricas"")","-\frac{1}{34} \, \sqrt{17} {\left(439 \, \sqrt{17} + 2047\right)}^{\frac{1}{4}} \arctan\left(\frac{{\left(\sqrt{2} {\left(3 \, \sqrt{17} x - 7 \, x\right)} \sqrt{-\frac{{\left(\sqrt{17} x^{2} - 37 \, x^{2}\right)} \sqrt{439 \, \sqrt{17} + 2047} - 1352 \, \sqrt{x^{4} - 1}}{x^{2}}} - 52 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(3 \, \sqrt{17} - 7\right)}\right)} {\left(439 \, \sqrt{17} + 2047\right)}^{\frac{1}{4}}}{2704 \, x}\right) - \frac{1}{34} \, \sqrt{17} {\left(-439 \, \sqrt{17} + 2047\right)}^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(3 \, \sqrt{17} x + 7 \, x\right)} {\left(-439 \, \sqrt{17} + 2047\right)}^{\frac{1}{4}} \sqrt{\frac{{\left(\sqrt{17} x^{2} + 37 \, x^{2}\right)} \sqrt{-439 \, \sqrt{17} + 2047} + 1352 \, \sqrt{x^{4} - 1}}{x^{2}}} - 52 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(3 \, \sqrt{17} + 7\right)} {\left(-439 \, \sqrt{17} + 2047\right)}^{\frac{1}{4}}}{2704 \, x}\right) - \frac{1}{136} \, \sqrt{17} {\left(439 \, \sqrt{17} + 2047\right)}^{\frac{1}{4}} \log\left(\frac{{\left(59 \, \sqrt{17} x - 155 \, x\right)} {\left(439 \, \sqrt{17} + 2047\right)}^{\frac{3}{4}} + 35152 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{136} \, \sqrt{17} {\left(439 \, \sqrt{17} + 2047\right)}^{\frac{1}{4}} \log\left(-\frac{{\left(59 \, \sqrt{17} x - 155 \, x\right)} {\left(439 \, \sqrt{17} + 2047\right)}^{\frac{3}{4}} - 35152 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{136} \, \sqrt{17} {\left(-439 \, \sqrt{17} + 2047\right)}^{\frac{1}{4}} \log\left(\frac{{\left(59 \, \sqrt{17} x + 155 \, x\right)} {\left(-439 \, \sqrt{17} + 2047\right)}^{\frac{3}{4}} + 35152 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{136} \, \sqrt{17} {\left(-439 \, \sqrt{17} + 2047\right)}^{\frac{1}{4}} \log\left(-\frac{{\left(59 \, \sqrt{17} x + 155 \, x\right)} {\left(-439 \, \sqrt{17} + 2047\right)}^{\frac{3}{4}} - 35152 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \arctan\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{4} \, \log\left(\frac{x + {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{4} \, \log\left(-\frac{x - {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-1/34*sqrt(17)*(439*sqrt(17) + 2047)^(1/4)*arctan(1/2704*(sqrt(2)*(3*sqrt(17)*x - 7*x)*sqrt(-((sqrt(17)*x^2 - 37*x^2)*sqrt(439*sqrt(17) + 2047) - 1352*sqrt(x^4 - 1))/x^2) - 52*(x^4 - 1)^(1/4)*(3*sqrt(17) - 7))*(439*sqrt(17) + 2047)^(1/4)/x) - 1/34*sqrt(17)*(-439*sqrt(17) + 2047)^(1/4)*arctan(1/2704*(sqrt(2)*(3*sqrt(17)*x + 7*x)*(-439*sqrt(17) + 2047)^(1/4)*sqrt(((sqrt(17)*x^2 + 37*x^2)*sqrt(-439*sqrt(17) + 2047) + 1352*sqrt(x^4 - 1))/x^2) - 52*(x^4 - 1)^(1/4)*(3*sqrt(17) + 7)*(-439*sqrt(17) + 2047)^(1/4))/x) - 1/136*sqrt(17)*(439*sqrt(17) + 2047)^(1/4)*log(((59*sqrt(17)*x - 155*x)*(439*sqrt(17) + 2047)^(3/4) + 35152*(x^4 - 1)^(1/4))/x) + 1/136*sqrt(17)*(439*sqrt(17) + 2047)^(1/4)*log(-((59*sqrt(17)*x - 155*x)*(439*sqrt(17) + 2047)^(3/4) - 35152*(x^4 - 1)^(1/4))/x) - 1/136*sqrt(17)*(-439*sqrt(17) + 2047)^(1/4)*log(((59*sqrt(17)*x + 155*x)*(-439*sqrt(17) + 2047)^(3/4) + 35152*(x^4 - 1)^(1/4))/x) + 1/136*sqrt(17)*(-439*sqrt(17) + 2047)^(1/4)*log(-((59*sqrt(17)*x + 155*x)*(-439*sqrt(17) + 2047)^(3/4) - 35152*(x^4 - 1)^(1/4))/x) - 1/2*arctan((x^4 - 1)^(1/4)/x) + 1/4*log((x + (x^4 - 1)^(1/4))/x) - 1/4*log(-(x - (x^4 - 1)^(1/4))/x)","B",0
1796,1,114,0,0.489722," ","integrate((x^2-x)^(1/2)*(x^2-x*(x^2-x)^(1/2))^(1/2)/x^3,x, algorithm=""fricas"")","\frac{3 \, \sqrt{2} x^{2} \log\left(-\frac{4 \, x^{2} - 2 \, \sqrt{x^{2} - \sqrt{x^{2} - x} x} {\left(\sqrt{2} x - \sqrt{2} \sqrt{x^{2} - x}\right)} - 4 \, \sqrt{x^{2} - x} x - x}{x}\right) + 4 \, \sqrt{x^{2} - \sqrt{x^{2} - x} x} {\left(x - \sqrt{x^{2} - x}\right)}}{3 \, x^{2}}"," ",0,"1/3*(3*sqrt(2)*x^2*log(-(4*x^2 - 2*sqrt(x^2 - sqrt(x^2 - x)*x)*(sqrt(2)*x - sqrt(2)*sqrt(x^2 - x)) - 4*sqrt(x^2 - x)*x - x)/x) + 4*sqrt(x^2 - sqrt(x^2 - x)*x)*(x - sqrt(x^2 - x)))/x^2","A",0
1797,1,154,0,0.497078," ","integrate((2*a*x+b)/(a*x^2+b*x+c)^(1/4)/(4*a*x^2+4*b*x+5*c),x, algorithm=""fricas"")","-2 \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(-\frac{1}{c}\right)^{\frac{1}{4}} \arctan\left(2 \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \sqrt{-\frac{1}{2} \, c \sqrt{-\frac{1}{c}} + \sqrt{a x^{2} + b x + c}} \left(-\frac{1}{c}\right)^{\frac{1}{4}} - 2 \, \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a x^{2} + b x + c\right)}^{\frac{1}{4}} \left(-\frac{1}{c}\right)^{\frac{1}{4}}\right) + \frac{1}{2} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(-\frac{1}{c}\right)^{\frac{1}{4}} \log\left(2 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} c \left(-\frac{1}{c}\right)^{\frac{3}{4}} + {\left(a x^{2} + b x + c\right)}^{\frac{1}{4}}\right) - \frac{1}{2} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(-\frac{1}{c}\right)^{\frac{1}{4}} \log\left(-2 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} c \left(-\frac{1}{c}\right)^{\frac{3}{4}} + {\left(a x^{2} + b x + c\right)}^{\frac{1}{4}}\right)"," ",0,"-2*(1/4)^(1/4)*(-1/c)^(1/4)*arctan(2*(1/4)^(1/4)*sqrt(-1/2*c*sqrt(-1/c) + sqrt(a*x^2 + b*x + c))*(-1/c)^(1/4) - 2*(1/4)^(1/4)*(a*x^2 + b*x + c)^(1/4)*(-1/c)^(1/4)) + 1/2*(1/4)^(1/4)*(-1/c)^(1/4)*log(2*(1/4)^(3/4)*c*(-1/c)^(3/4) + (a*x^2 + b*x + c)^(1/4)) - 1/2*(1/4)^(1/4)*(-1/c)^(1/4)*log(-2*(1/4)^(3/4)*c*(-1/c)^(3/4) + (a*x^2 + b*x + c)^(1/4))","A",0
1798,1,117,0,0.856358," ","integrate(x^6*(x^3-x)^(1/3),x, algorithm=""fricas"")","\frac{5}{243} \, \sqrt{3} \arctan\left(-\frac{44032959556 \, \sqrt{3} {\left(x^{3} - x\right)}^{\frac{1}{3}} x + \sqrt{3} {\left(16754327161 \, x^{2} - 2707204793\right)} - 10524305234 \, \sqrt{3} {\left(x^{3} - x\right)}^{\frac{2}{3}}}{81835897185 \, x^{2} - 1102302937}\right) + \frac{1}{648} \, {\left(81 \, x^{7} - 9 \, x^{5} - 12 \, x^{3} - 20 \, x\right)} {\left(x^{3} - x\right)}^{\frac{1}{3}} + \frac{5}{486} \, \log\left(-3 \, {\left(x^{3} - x\right)}^{\frac{1}{3}} x + 3 \, {\left(x^{3} - x\right)}^{\frac{2}{3}} + 1\right)"," ",0,"5/243*sqrt(3)*arctan(-(44032959556*sqrt(3)*(x^3 - x)^(1/3)*x + sqrt(3)*(16754327161*x^2 - 2707204793) - 10524305234*sqrt(3)*(x^3 - x)^(2/3))/(81835897185*x^2 - 1102302937)) + 1/648*(81*x^7 - 9*x^5 - 12*x^3 - 20*x)*(x^3 - x)^(1/3) + 5/486*log(-3*(x^3 - x)^(1/3)*x + 3*(x^3 - x)^(2/3) + 1)","A",0
1799,1,120,0,0.513306," ","integrate(1/(x^3+x^2-x-1)^(1/3),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(x + 1\right)} + 2 \, \sqrt{3} {\left(x^{3} + x^{2} - x - 1\right)}^{\frac{1}{3}}}{3 \, {\left(x + 1\right)}}\right) + \frac{1}{2} \, \log\left(\frac{x^{2} + {\left(x^{3} + x^{2} - x - 1\right)}^{\frac{1}{3}} {\left(x + 1\right)} + 2 \, x + {\left(x^{3} + x^{2} - x - 1\right)}^{\frac{2}{3}} + 1}{x^{2} + 2 \, x + 1}\right) - \log\left(-\frac{x - {\left(x^{3} + x^{2} - x - 1\right)}^{\frac{1}{3}} + 1}{x + 1}\right)"," ",0,"-sqrt(3)*arctan(1/3*(sqrt(3)*(x + 1) + 2*sqrt(3)*(x^3 + x^2 - x - 1)^(1/3))/(x + 1)) + 1/2*log((x^2 + (x^3 + x^2 - x - 1)^(1/3)*(x + 1) + 2*x + (x^3 + x^2 - x - 1)^(2/3) + 1)/(x^2 + 2*x + 1)) - log(-(x - (x^3 + x^2 - x - 1)^(1/3) + 1)/(x + 1))","A",0
1800,1,395,0,17.328691," ","integrate((2*x^4+1)/(x^4-1)/(x^4-x^2)^(1/4),x, algorithm=""fricas"")","\frac{12 \cdot 2^{\frac{3}{4}} {\left(x^{3} - x\right)} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{4} - x^{2}} x + 2^{\frac{1}{4}} {\left(3 \, x^{3} - x\right)}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{3} + x\right)}}\right) - 3 \cdot 2^{\frac{3}{4}} {\left(x^{3} - x\right)} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(3 \, x^{3} - x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{4} - x^{2}} x + 4 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{x^{3} + x}\right) + 3 \cdot 2^{\frac{3}{4}} {\left(x^{3} - x\right)} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(3 \, x^{3} - x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{4} - x^{2}} x + 4 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{x^{3} + x}\right) - 16 \, {\left(x^{3} - x\right)} \arctan\left(\frac{2 \, {\left({\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} + {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}\right)}}{x}\right) + 16 \, {\left(x^{3} - x\right)} \log\left(\frac{2 \, x^{3} + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \, \sqrt{x^{4} - x^{2}} x - x + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{x}\right) - 48 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{16 \, {\left(x^{3} - x\right)}}"," ",0,"1/16*(12*2^(3/4)*(x^3 - x)*arctan(1/2*(4*2^(3/4)*(x^4 - x^2)^(1/4)*x^2 + 2^(3/4)*(2*2^(3/4)*sqrt(x^4 - x^2)*x + 2^(1/4)*(3*x^3 - x)) + 4*2^(1/4)*(x^4 - x^2)^(3/4))/(x^3 + x)) - 3*2^(3/4)*(x^3 - x)*log((4*sqrt(2)*(x^4 - x^2)^(1/4)*x^2 + 2^(3/4)*(3*x^3 - x) + 4*2^(1/4)*sqrt(x^4 - x^2)*x + 4*(x^4 - x^2)^(3/4))/(x^3 + x)) + 3*2^(3/4)*(x^3 - x)*log((4*sqrt(2)*(x^4 - x^2)^(1/4)*x^2 - 2^(3/4)*(3*x^3 - x) - 4*2^(1/4)*sqrt(x^4 - x^2)*x + 4*(x^4 - x^2)^(3/4))/(x^3 + x)) - 16*(x^3 - x)*arctan(2*((x^4 - x^2)^(1/4)*x^2 + (x^4 - x^2)^(3/4))/x) + 16*(x^3 - x)*log((2*x^3 + 2*(x^4 - x^2)^(1/4)*x^2 + 2*sqrt(x^4 - x^2)*x - x + 2*(x^4 - x^2)^(3/4))/x) - 48*(x^4 - x^2)^(3/4))/(x^3 - x)","B",0
1801,-1,0,0,0.000000," ","integrate((a*x^4-b)*(a*x^4+b*x^2)^(1/4)/x^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1802,-1,0,0,0.000000," ","integrate((a*x^4+b)*(a*x^4+b*x^2)^(1/4)/x^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1803,-1,0,0,0.000000," ","integrate((2*a*x^4+b)/(a*x^4-b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1804,-1,0,0,0.000000," ","integrate((2*a*x^4+b)/(a*x^4-b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1805,1,726,0,0.893393," ","integrate((2*x^8-2*a*x^4-b)/(a*x^4-b)^(1/4),x, algorithm=""fricas"")","\frac{4 \, a^{2} \left(\frac{331776 \, a^{8} b^{4} - 276480 \, a^{6} b^{5} + 86400 \, a^{4} b^{6} - 12000 \, a^{2} b^{7} + 625 \, b^{8}}{a^{9}}\right)^{\frac{1}{4}} \arctan\left(\frac{a^{2} x \sqrt{\frac{{\left(331776 \, a^{13} b^{4} - 276480 \, a^{11} b^{5} + 86400 \, a^{9} b^{6} - 12000 \, a^{7} b^{7} + 625 \, a^{5} b^{8}\right)} x^{2} \sqrt{\frac{331776 \, a^{8} b^{4} - 276480 \, a^{6} b^{5} + 86400 \, a^{4} b^{6} - 12000 \, a^{2} b^{7} + 625 \, b^{8}}{a^{9}}} + {\left(191102976 \, a^{12} b^{6} - 238878720 \, a^{10} b^{7} + 124416000 \, a^{8} b^{8} - 34560000 \, a^{6} b^{9} + 5400000 \, a^{4} b^{10} - 450000 \, a^{2} b^{11} + 15625 \, b^{12}\right)} \sqrt{a x^{4} - b}}{x^{2}}} \left(\frac{331776 \, a^{8} b^{4} - 276480 \, a^{6} b^{5} + 86400 \, a^{4} b^{6} - 12000 \, a^{2} b^{7} + 625 \, b^{8}}{a^{9}}\right)^{\frac{1}{4}} + {\left(13824 \, a^{8} b^{3} - 8640 \, a^{6} b^{4} + 1800 \, a^{4} b^{5} - 125 \, a^{2} b^{6}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}} \left(\frac{331776 \, a^{8} b^{4} - 276480 \, a^{6} b^{5} + 86400 \, a^{4} b^{6} - 12000 \, a^{2} b^{7} + 625 \, b^{8}}{a^{9}}\right)^{\frac{1}{4}}}{{\left(331776 \, a^{8} b^{4} - 276480 \, a^{6} b^{5} + 86400 \, a^{4} b^{6} - 12000 \, a^{2} b^{7} + 625 \, b^{8}\right)} x}\right) - a^{2} \left(\frac{331776 \, a^{8} b^{4} - 276480 \, a^{6} b^{5} + 86400 \, a^{4} b^{6} - 12000 \, a^{2} b^{7} + 625 \, b^{8}}{a^{9}}\right)^{\frac{1}{4}} \log\left(-\frac{a^{7} x \left(\frac{331776 \, a^{8} b^{4} - 276480 \, a^{6} b^{5} + 86400 \, a^{4} b^{6} - 12000 \, a^{2} b^{7} + 625 \, b^{8}}{a^{9}}\right)^{\frac{3}{4}} + {\left(13824 \, a^{6} b^{3} - 8640 \, a^{4} b^{4} + 1800 \, a^{2} b^{5} - 125 \, b^{6}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right) + a^{2} \left(\frac{331776 \, a^{8} b^{4} - 276480 \, a^{6} b^{5} + 86400 \, a^{4} b^{6} - 12000 \, a^{2} b^{7} + 625 \, b^{8}}{a^{9}}\right)^{\frac{1}{4}} \log\left(\frac{a^{7} x \left(\frac{331776 \, a^{8} b^{4} - 276480 \, a^{6} b^{5} + 86400 \, a^{4} b^{6} - 12000 \, a^{2} b^{7} + 625 \, b^{8}}{a^{9}}\right)^{\frac{3}{4}} - {\left(13824 \, a^{6} b^{3} - 8640 \, a^{4} b^{4} + 1800 \, a^{2} b^{5} - 125 \, b^{6}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right) + 4 \, {\left(4 \, a x^{5} - {\left(8 \, a^{2} - 5 \, b\right)} x\right)} {\left(a x^{4} - b\right)}^{\frac{3}{4}}}{64 \, a^{2}}"," ",0,"1/64*(4*a^2*((331776*a^8*b^4 - 276480*a^6*b^5 + 86400*a^4*b^6 - 12000*a^2*b^7 + 625*b^8)/a^9)^(1/4)*arctan((a^2*x*sqrt(((331776*a^13*b^4 - 276480*a^11*b^5 + 86400*a^9*b^6 - 12000*a^7*b^7 + 625*a^5*b^8)*x^2*sqrt((331776*a^8*b^4 - 276480*a^6*b^5 + 86400*a^4*b^6 - 12000*a^2*b^7 + 625*b^8)/a^9) + (191102976*a^12*b^6 - 238878720*a^10*b^7 + 124416000*a^8*b^8 - 34560000*a^6*b^9 + 5400000*a^4*b^10 - 450000*a^2*b^11 + 15625*b^12)*sqrt(a*x^4 - b))/x^2)*((331776*a^8*b^4 - 276480*a^6*b^5 + 86400*a^4*b^6 - 12000*a^2*b^7 + 625*b^8)/a^9)^(1/4) + (13824*a^8*b^3 - 8640*a^6*b^4 + 1800*a^4*b^5 - 125*a^2*b^6)*(a*x^4 - b)^(1/4)*((331776*a^8*b^4 - 276480*a^6*b^5 + 86400*a^4*b^6 - 12000*a^2*b^7 + 625*b^8)/a^9)^(1/4))/((331776*a^8*b^4 - 276480*a^6*b^5 + 86400*a^4*b^6 - 12000*a^2*b^7 + 625*b^8)*x)) - a^2*((331776*a^8*b^4 - 276480*a^6*b^5 + 86400*a^4*b^6 - 12000*a^2*b^7 + 625*b^8)/a^9)^(1/4)*log(-(a^7*x*((331776*a^8*b^4 - 276480*a^6*b^5 + 86400*a^4*b^6 - 12000*a^2*b^7 + 625*b^8)/a^9)^(3/4) + (13824*a^6*b^3 - 8640*a^4*b^4 + 1800*a^2*b^5 - 125*b^6)*(a*x^4 - b)^(1/4))/x) + a^2*((331776*a^8*b^4 - 276480*a^6*b^5 + 86400*a^4*b^6 - 12000*a^2*b^7 + 625*b^8)/a^9)^(1/4)*log((a^7*x*((331776*a^8*b^4 - 276480*a^6*b^5 + 86400*a^4*b^6 - 12000*a^2*b^7 + 625*b^8)/a^9)^(3/4) - (13824*a^6*b^3 - 8640*a^4*b^4 + 1800*a^2*b^5 - 125*b^6)*(a*x^4 - b)^(1/4))/x) + 4*(4*a*x^5 - (8*a^2 - 5*b)*x)*(a*x^4 - b)^(3/4))/a^2","B",0
1806,1,93,0,0.525985," ","integrate((-1+x)/(x^2-2*x-4)/(x^2-2*x-2)^(1/3),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{3} 2^{\frac{2}{3}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{1}{6}} {\left(2^{\frac{5}{6}} + 2 \, \sqrt{2} {\left(x^{2} - 2 \, x - 2\right)}^{\frac{1}{3}}\right)}\right) - \frac{1}{8} \cdot 2^{\frac{2}{3}} \log\left(2^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(x^{2} - 2 \, x - 2\right)}^{\frac{1}{3}} + {\left(x^{2} - 2 \, x - 2\right)}^{\frac{2}{3}}\right) + \frac{1}{4} \cdot 2^{\frac{2}{3}} \log\left(-2^{\frac{1}{3}} + {\left(x^{2} - 2 \, x - 2\right)}^{\frac{1}{3}}\right)"," ",0,"1/4*sqrt(3)*2^(2/3)*arctan(1/6*sqrt(3)*2^(1/6)*(2^(5/6) + 2*sqrt(2)*(x^2 - 2*x - 2)^(1/3))) - 1/8*2^(2/3)*log(2^(2/3) + 2^(1/3)*(x^2 - 2*x - 2)^(1/3) + (x^2 - 2*x - 2)^(2/3)) + 1/4*2^(2/3)*log(-2^(1/3) + (x^2 - 2*x - 2)^(1/3))","A",0
1807,1,93,0,0.557239," ","integrate(1/(1+x)/(x^2+2*x+3)^(1/3),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{3} 2^{\frac{2}{3}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{1}{6}} {\left(2^{\frac{5}{6}} + 2 \, \sqrt{2} {\left(x^{2} + 2 \, x + 3\right)}^{\frac{1}{3}}\right)}\right) - \frac{1}{8} \cdot 2^{\frac{2}{3}} \log\left(2^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(x^{2} + 2 \, x + 3\right)}^{\frac{1}{3}} + {\left(x^{2} + 2 \, x + 3\right)}^{\frac{2}{3}}\right) + \frac{1}{4} \cdot 2^{\frac{2}{3}} \log\left(-2^{\frac{1}{3}} + {\left(x^{2} + 2 \, x + 3\right)}^{\frac{1}{3}}\right)"," ",0,"1/4*sqrt(3)*2^(2/3)*arctan(1/6*sqrt(3)*2^(1/6)*(2^(5/6) + 2*sqrt(2)*(x^2 + 2*x + 3)^(1/3))) - 1/8*2^(2/3)*log(2^(2/3) + 2^(1/3)*(x^2 + 2*x + 3)^(1/3) + (x^2 + 2*x + 3)^(2/3)) + 1/4*2^(2/3)*log(-2^(1/3) + (x^2 + 2*x + 3)^(1/3))","A",0
1808,1,134,0,0.546427," ","integrate(1/x/(a*x^2-b)^(3/4),x, algorithm=""fricas"")","2 \, \left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} \arctan\left(\sqrt{b^{2} \sqrt{-\frac{1}{b^{3}}} + \sqrt{a x^{2} - b}} b^{2} \left(-\frac{1}{b^{3}}\right)^{\frac{3}{4}} - {\left(a x^{2} - b\right)}^{\frac{1}{4}} b^{2} \left(-\frac{1}{b^{3}}\right)^{\frac{3}{4}}\right) + \frac{1}{2} \, \left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} \log\left(b \left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} + {\left(a x^{2} - b\right)}^{\frac{1}{4}}\right) - \frac{1}{2} \, \left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} \log\left(-b \left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} + {\left(a x^{2} - b\right)}^{\frac{1}{4}}\right)"," ",0,"2*(-1/b^3)^(1/4)*arctan(sqrt(b^2*sqrt(-1/b^3) + sqrt(a*x^2 - b))*b^2*(-1/b^3)^(3/4) - (a*x^2 - b)^(1/4)*b^2*(-1/b^3)^(3/4)) + 1/2*(-1/b^3)^(1/4)*log(b*(-1/b^3)^(1/4) + (a*x^2 - b)^(1/4)) - 1/2*(-1/b^3)^(1/4)*log(-b*(-1/b^3)^(1/4) + (a*x^2 - b)^(1/4))","A",0
1809,1,308,0,0.620754," ","integrate(1/x/(a*x^3-b)^(1/3),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{\frac{1}{3}} b \sqrt{\frac{\left(-b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a x^{3} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(a x^{3} - b\right)}^{\frac{2}{3}} \left(-b\right)^{\frac{2}{3}} + {\left(a x^{3} - b\right)}^{\frac{1}{3}} b + \left(-b\right)^{\frac{1}{3}} b\right)} \sqrt{\frac{\left(-b\right)^{\frac{1}{3}}}{b}} - 3 \, {\left(a x^{3} - b\right)}^{\frac{1}{3}} \left(-b\right)^{\frac{2}{3}} - 3 \, b}{x^{3}}\right) + \left(-b\right)^{\frac{2}{3}} \log\left({\left(a x^{3} - b\right)}^{\frac{2}{3}} + {\left(a x^{3} - b\right)}^{\frac{1}{3}} \left(-b\right)^{\frac{1}{3}} + \left(-b\right)^{\frac{2}{3}}\right) - 2 \, \left(-b\right)^{\frac{2}{3}} \log\left({\left(a x^{3} - b\right)}^{\frac{1}{3}} - \left(-b\right)^{\frac{1}{3}}\right)}{6 \, b}, \frac{6 \, \sqrt{\frac{1}{3}} b \sqrt{-\frac{\left(-b\right)^{\frac{1}{3}}}{b}} \arctan\left(\sqrt{\frac{1}{3}} {\left(2 \, {\left(a x^{3} - b\right)}^{\frac{1}{3}} + \left(-b\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-b\right)^{\frac{1}{3}}}{b}}\right) + \left(-b\right)^{\frac{2}{3}} \log\left({\left(a x^{3} - b\right)}^{\frac{2}{3}} + {\left(a x^{3} - b\right)}^{\frac{1}{3}} \left(-b\right)^{\frac{1}{3}} + \left(-b\right)^{\frac{2}{3}}\right) - 2 \, \left(-b\right)^{\frac{2}{3}} \log\left({\left(a x^{3} - b\right)}^{\frac{1}{3}} - \left(-b\right)^{\frac{1}{3}}\right)}{6 \, b}\right]"," ",0,"[1/6*(3*sqrt(1/3)*b*sqrt((-b)^(1/3)/b)*log((2*a*x^3 + 3*sqrt(1/3)*(2*(a*x^3 - b)^(2/3)*(-b)^(2/3) + (a*x^3 - b)^(1/3)*b + (-b)^(1/3)*b)*sqrt((-b)^(1/3)/b) - 3*(a*x^3 - b)^(1/3)*(-b)^(2/3) - 3*b)/x^3) + (-b)^(2/3)*log((a*x^3 - b)^(2/3) + (a*x^3 - b)^(1/3)*(-b)^(1/3) + (-b)^(2/3)) - 2*(-b)^(2/3)*log((a*x^3 - b)^(1/3) - (-b)^(1/3)))/b, 1/6*(6*sqrt(1/3)*b*sqrt(-(-b)^(1/3)/b)*arctan(sqrt(1/3)*(2*(a*x^3 - b)^(1/3) + (-b)^(1/3))*sqrt(-(-b)^(1/3)/b)) + (-b)^(2/3)*log((a*x^3 - b)^(2/3) + (a*x^3 - b)^(1/3)*(-b)^(1/3) + (-b)^(2/3)) - 2*(-b)^(2/3)*log((a*x^3 - b)^(1/3) - (-b)^(1/3)))/b]","A",0
1810,1,421,0,0.539994," ","integrate((a^3*x^3-b^3)/(a^2*x^3+b^2*x)^(1/2)/(a^3*x^3+b^3),x, algorithm=""fricas"")","\left[-\frac{\sqrt{2} a b \sqrt{\frac{1}{a b}} \arctan\left(\frac{2 \, \sqrt{2} \sqrt{a^{2} x^{3} + b^{2} x} a b \sqrt{\frac{1}{a b}}}{a^{2} x^{2} - 2 \, a b x + b^{2}}\right) - 2 \, \sqrt{a b} \log\left(\frac{a^{4} x^{4} + 6 \, a^{3} b x^{3} + 3 \, a^{2} b^{2} x^{2} + 6 \, a b^{3} x + b^{4} - 4 \, \sqrt{a^{2} x^{3} + b^{2} x} {\left(a^{2} x^{2} + a b x + b^{2}\right)} \sqrt{a b}}{a^{4} x^{4} - 2 \, a^{3} b x^{3} + 3 \, a^{2} b^{2} x^{2} - 2 \, a b^{3} x + b^{4}}\right)}{6 \, a b}, \frac{\sqrt{2} a b \sqrt{-\frac{1}{a b}} \log\left(\frac{a^{4} x^{4} - 12 \, a^{3} b x^{3} + 6 \, a^{2} b^{2} x^{2} - 12 \, a b^{3} x + b^{4} + 4 \, \sqrt{2} {\left(a^{3} b x^{2} - 2 \, a^{2} b^{2} x + a b^{3}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{-\frac{1}{a b}}}{a^{4} x^{4} + 4 \, a^{3} b x^{3} + 6 \, a^{2} b^{2} x^{2} + 4 \, a b^{3} x + b^{4}}\right) + 8 \, \sqrt{-a b} \arctan\left(\frac{\sqrt{a^{2} x^{3} + b^{2} x} {\left(a^{2} x^{2} + a b x + b^{2}\right)} \sqrt{-a b}}{2 \, {\left(a^{3} b x^{3} + a b^{3} x\right)}}\right)}{12 \, a b}\right]"," ",0,"[-1/6*(sqrt(2)*a*b*sqrt(1/(a*b))*arctan(2*sqrt(2)*sqrt(a^2*x^3 + b^2*x)*a*b*sqrt(1/(a*b))/(a^2*x^2 - 2*a*b*x + b^2)) - 2*sqrt(a*b)*log((a^4*x^4 + 6*a^3*b*x^3 + 3*a^2*b^2*x^2 + 6*a*b^3*x + b^4 - 4*sqrt(a^2*x^3 + b^2*x)*(a^2*x^2 + a*b*x + b^2)*sqrt(a*b))/(a^4*x^4 - 2*a^3*b*x^3 + 3*a^2*b^2*x^2 - 2*a*b^3*x + b^4)))/(a*b), 1/12*(sqrt(2)*a*b*sqrt(-1/(a*b))*log((a^4*x^4 - 12*a^3*b*x^3 + 6*a^2*b^2*x^2 - 12*a*b^3*x + b^4 + 4*sqrt(2)*(a^3*b*x^2 - 2*a^2*b^2*x + a*b^3)*sqrt(a^2*x^3 + b^2*x)*sqrt(-1/(a*b)))/(a^4*x^4 + 4*a^3*b*x^3 + 6*a^2*b^2*x^2 + 4*a*b^3*x + b^4)) + 8*sqrt(-a*b)*arctan(1/2*sqrt(a^2*x^3 + b^2*x)*(a^2*x^2 + a*b*x + b^2)*sqrt(-a*b)/(a^3*b*x^3 + a*b^3*x)))/(a*b)]","B",0
1811,1,423,0,0.692121," ","integrate((a^3*x^3+b^3)/(a^2*x^3+b^2*x)^(1/2)/(a^3*x^3-b^3),x, algorithm=""fricas"")","\left[\frac{\sqrt{2} a b \sqrt{\frac{1}{a b}} \log\left(\frac{a^{4} x^{4} + 12 \, a^{3} b x^{3} + 6 \, a^{2} b^{2} x^{2} + 12 \, a b^{3} x + b^{4} - 4 \, \sqrt{2} {\left(a^{3} b x^{2} + 2 \, a^{2} b^{2} x + a b^{3}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{\frac{1}{a b}}}{a^{4} x^{4} - 4 \, a^{3} b x^{3} + 6 \, a^{2} b^{2} x^{2} - 4 \, a b^{3} x + b^{4}}\right) + 8 \, \sqrt{a b} \arctan\left(\frac{\sqrt{a^{2} x^{3} + b^{2} x} {\left(a^{2} x^{2} - a b x + b^{2}\right)} \sqrt{a b}}{2 \, {\left(a^{3} b x^{3} + a b^{3} x\right)}}\right)}{12 \, a b}, \frac{\sqrt{2} a b \sqrt{-\frac{1}{a b}} \arctan\left(\frac{2 \, \sqrt{2} \sqrt{a^{2} x^{3} + b^{2} x} a b \sqrt{-\frac{1}{a b}}}{a^{2} x^{2} + 2 \, a b x + b^{2}}\right) - 2 \, \sqrt{-a b} \log\left(\frac{a^{4} x^{4} - 6 \, a^{3} b x^{3} + 3 \, a^{2} b^{2} x^{2} - 6 \, a b^{3} x + b^{4} - 4 \, \sqrt{a^{2} x^{3} + b^{2} x} {\left(a^{2} x^{2} - a b x + b^{2}\right)} \sqrt{-a b}}{a^{4} x^{4} + 2 \, a^{3} b x^{3} + 3 \, a^{2} b^{2} x^{2} + 2 \, a b^{3} x + b^{4}}\right)}{6 \, a b}\right]"," ",0,"[1/12*(sqrt(2)*a*b*sqrt(1/(a*b))*log((a^4*x^4 + 12*a^3*b*x^3 + 6*a^2*b^2*x^2 + 12*a*b^3*x + b^4 - 4*sqrt(2)*(a^3*b*x^2 + 2*a^2*b^2*x + a*b^3)*sqrt(a^2*x^3 + b^2*x)*sqrt(1/(a*b)))/(a^4*x^4 - 4*a^3*b*x^3 + 6*a^2*b^2*x^2 - 4*a*b^3*x + b^4)) + 8*sqrt(a*b)*arctan(1/2*sqrt(a^2*x^3 + b^2*x)*(a^2*x^2 - a*b*x + b^2)*sqrt(a*b)/(a^3*b*x^3 + a*b^3*x)))/(a*b), 1/6*(sqrt(2)*a*b*sqrt(-1/(a*b))*arctan(2*sqrt(2)*sqrt(a^2*x^3 + b^2*x)*a*b*sqrt(-1/(a*b))/(a^2*x^2 + 2*a*b*x + b^2)) - 2*sqrt(-a*b)*log((a^4*x^4 - 6*a^3*b*x^3 + 3*a^2*b^2*x^2 - 6*a*b^3*x + b^4 - 4*sqrt(a^2*x^3 + b^2*x)*(a^2*x^2 - a*b*x + b^2)*sqrt(-a*b))/(a^4*x^4 + 2*a^3*b*x^3 + 3*a^2*b^2*x^2 + 2*a*b^3*x + b^4)))/(a*b)]","B",0
1812,1,637,0,0.539665," ","integrate((x^4+x^3)^(1/4)/(2*x^2+x-2),x, algorithm=""fricas"")","-\frac{1}{17} \, \sqrt{34} \sqrt{\sqrt{2} \sqrt{\sqrt{17} + 23}} \arctan\left(\frac{\sqrt{34} {\left(5 \, \sqrt{17} \sqrt{2} x - 51 \, \sqrt{2} x\right)} \sqrt{\sqrt{2} \sqrt{\sqrt{17} + 23}} \sqrt{\sqrt{17} + 23} \sqrt{\frac{{\left(\sqrt{17} \sqrt{2} x^{2} + 9 \, \sqrt{2} x^{2}\right)} \sqrt{\sqrt{17} + 23} + 64 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 8 \, \sqrt{34} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(5 \, \sqrt{17} \sqrt{2} - 51 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{\sqrt{17} + 23}} \sqrt{\sqrt{17} + 23}}{34816 \, x}\right) + \frac{1}{17} \, \sqrt{34} \sqrt{\sqrt{2} \sqrt{-\sqrt{17} + 23}} \arctan\left(\frac{\sqrt{34} {\left(5 \, \sqrt{17} \sqrt{2} x + 51 \, \sqrt{2} x\right)} \sqrt{\sqrt{2} \sqrt{-\sqrt{17} + 23}} \sqrt{-\sqrt{17} + 23} \sqrt{-\frac{{\left(\sqrt{17} \sqrt{2} x^{2} - 9 \, \sqrt{2} x^{2}\right)} \sqrt{-\sqrt{17} + 23} - 64 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 8 \, \sqrt{34} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(5 \, \sqrt{17} \sqrt{2} + 51 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\sqrt{17} + 23}} \sqrt{-\sqrt{17} + 23}}{34816 \, x}\right) - \frac{1}{68} \, \sqrt{34} \sqrt{\sqrt{2} \sqrt{\sqrt{17} + 23}} \log\left(\frac{\sqrt{34} {\left(\sqrt{17} x + 17 \, x\right)} \sqrt{\sqrt{2} \sqrt{\sqrt{17} + 23}} + 272 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{68} \, \sqrt{34} \sqrt{\sqrt{2} \sqrt{\sqrt{17} + 23}} \log\left(-\frac{\sqrt{34} {\left(\sqrt{17} x + 17 \, x\right)} \sqrt{\sqrt{2} \sqrt{\sqrt{17} + 23}} - 272 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{68} \, \sqrt{34} \sqrt{\sqrt{2} \sqrt{-\sqrt{17} + 23}} \log\left(\frac{\sqrt{34} {\left(\sqrt{17} x - 17 \, x\right)} \sqrt{\sqrt{2} \sqrt{-\sqrt{17} + 23}} + 272 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{68} \, \sqrt{34} \sqrt{\sqrt{2} \sqrt{-\sqrt{17} + 23}} \log\left(-\frac{\sqrt{34} {\left(\sqrt{17} x - 17 \, x\right)} \sqrt{\sqrt{2} \sqrt{-\sqrt{17} + 23}} - 272 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \arctan\left(\frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \log\left(\frac{x + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \log\left(-\frac{x - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-1/17*sqrt(34)*sqrt(sqrt(2)*sqrt(sqrt(17) + 23))*arctan(1/34816*(sqrt(34)*(5*sqrt(17)*sqrt(2)*x - 51*sqrt(2)*x)*sqrt(sqrt(2)*sqrt(sqrt(17) + 23))*sqrt(sqrt(17) + 23)*sqrt(((sqrt(17)*sqrt(2)*x^2 + 9*sqrt(2)*x^2)*sqrt(sqrt(17) + 23) + 64*sqrt(x^4 + x^3))/x^2) - 8*sqrt(34)*(x^4 + x^3)^(1/4)*(5*sqrt(17)*sqrt(2) - 51*sqrt(2))*sqrt(sqrt(2)*sqrt(sqrt(17) + 23))*sqrt(sqrt(17) + 23))/x) + 1/17*sqrt(34)*sqrt(sqrt(2)*sqrt(-sqrt(17) + 23))*arctan(1/34816*(sqrt(34)*(5*sqrt(17)*sqrt(2)*x + 51*sqrt(2)*x)*sqrt(sqrt(2)*sqrt(-sqrt(17) + 23))*sqrt(-sqrt(17) + 23)*sqrt(-((sqrt(17)*sqrt(2)*x^2 - 9*sqrt(2)*x^2)*sqrt(-sqrt(17) + 23) - 64*sqrt(x^4 + x^3))/x^2) - 8*sqrt(34)*(x^4 + x^3)^(1/4)*(5*sqrt(17)*sqrt(2) + 51*sqrt(2))*sqrt(sqrt(2)*sqrt(-sqrt(17) + 23))*sqrt(-sqrt(17) + 23))/x) - 1/68*sqrt(34)*sqrt(sqrt(2)*sqrt(sqrt(17) + 23))*log((sqrt(34)*(sqrt(17)*x + 17*x)*sqrt(sqrt(2)*sqrt(sqrt(17) + 23)) + 272*(x^4 + x^3)^(1/4))/x) + 1/68*sqrt(34)*sqrt(sqrt(2)*sqrt(sqrt(17) + 23))*log(-(sqrt(34)*(sqrt(17)*x + 17*x)*sqrt(sqrt(2)*sqrt(sqrt(17) + 23)) - 272*(x^4 + x^3)^(1/4))/x) + 1/68*sqrt(34)*sqrt(sqrt(2)*sqrt(-sqrt(17) + 23))*log((sqrt(34)*(sqrt(17)*x - 17*x)*sqrt(sqrt(2)*sqrt(-sqrt(17) + 23)) + 272*(x^4 + x^3)^(1/4))/x) - 1/68*sqrt(34)*sqrt(sqrt(2)*sqrt(-sqrt(17) + 23))*log(-(sqrt(34)*(sqrt(17)*x - 17*x)*sqrt(sqrt(2)*sqrt(-sqrt(17) + 23)) - 272*(x^4 + x^3)^(1/4))/x) + arctan((x^4 + x^3)^(1/4)/x) + 1/2*log((x + (x^4 + x^3)^(1/4))/x) - 1/2*log(-(x - (x^4 + x^3)^(1/4))/x)","B",0
1813,-1,0,0,0.000000," ","integrate((a*x^3-4*b)*(-a*x^3+x^4+b)/x^4/(a*x^3-b)^(1/4)/(a*x^3+x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1814,1,559,0,8.935439," ","integrate((x^2-2)*(x^2-1)*(x^4+x^2-1)^(1/4)/x^6/(2*x^4+x^2-1),x, algorithm=""fricas"")","\frac{20 \, \sqrt{2} x^{5} \arctan\left(\frac{\sqrt{2} {\left(x^{4} + x^{2} - 1\right)}^{\frac{1}{4}} x^{3} + \sqrt{2} {\left(x^{4} + x^{2} - 1\right)}^{\frac{3}{4}} x - {\left(2 \, x^{4} - \sqrt{2} {\left(x^{4} + x^{2} - 1\right)}^{\frac{1}{4}} x^{3} + 2 \, \sqrt{x^{4} + x^{2} - 1} x^{2} - \sqrt{2} {\left(x^{4} + x^{2} - 1\right)}^{\frac{3}{4}} x + x^{2} - 1\right)} \sqrt{\frac{2 \, x^{4} + 2 \, \sqrt{2} {\left(x^{4} + x^{2} - 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{x^{4} + x^{2} - 1} x^{2} + 2 \, \sqrt{2} {\left(x^{4} + x^{2} - 1\right)}^{\frac{3}{4}} x + x^{2} - 1}{2 \, x^{4} + x^{2} - 1}}}{x^{2} - 1}\right) + 20 \, \sqrt{2} x^{5} \arctan\left(\frac{\sqrt{2} {\left(x^{4} + x^{2} - 1\right)}^{\frac{1}{4}} x^{3} + \sqrt{2} {\left(x^{4} + x^{2} - 1\right)}^{\frac{3}{4}} x + {\left(2 \, x^{4} + \sqrt{2} {\left(x^{4} + x^{2} - 1\right)}^{\frac{1}{4}} x^{3} + 2 \, \sqrt{x^{4} + x^{2} - 1} x^{2} + \sqrt{2} {\left(x^{4} + x^{2} - 1\right)}^{\frac{3}{4}} x + x^{2} - 1\right)} \sqrt{\frac{2 \, x^{4} - 2 \, \sqrt{2} {\left(x^{4} + x^{2} - 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{x^{4} + x^{2} - 1} x^{2} - 2 \, \sqrt{2} {\left(x^{4} + x^{2} - 1\right)}^{\frac{3}{4}} x + x^{2} - 1}{2 \, x^{4} + x^{2} - 1}}}{x^{2} - 1}\right) - 5 \, \sqrt{2} x^{5} \log\left(\frac{2 \, x^{4} + 2 \, \sqrt{2} {\left(x^{4} + x^{2} - 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{x^{4} + x^{2} - 1} x^{2} + 2 \, \sqrt{2} {\left(x^{4} + x^{2} - 1\right)}^{\frac{3}{4}} x + x^{2} - 1}{2 \, x^{4} + x^{2} - 1}\right) + 5 \, \sqrt{2} x^{5} \log\left(\frac{2 \, x^{4} - 2 \, \sqrt{2} {\left(x^{4} + x^{2} - 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{x^{4} + x^{2} - 1} x^{2} - 2 \, \sqrt{2} {\left(x^{4} + x^{2} - 1\right)}^{\frac{3}{4}} x + x^{2} - 1}{2 \, x^{4} + x^{2} - 1}\right) + 8 \, {\left(9 \, x^{4} - x^{2} + 1\right)} {\left(x^{4} + x^{2} - 1\right)}^{\frac{1}{4}}}{20 \, x^{5}}"," ",0,"1/20*(20*sqrt(2)*x^5*arctan((sqrt(2)*(x^4 + x^2 - 1)^(1/4)*x^3 + sqrt(2)*(x^4 + x^2 - 1)^(3/4)*x - (2*x^4 - sqrt(2)*(x^4 + x^2 - 1)^(1/4)*x^3 + 2*sqrt(x^4 + x^2 - 1)*x^2 - sqrt(2)*(x^4 + x^2 - 1)^(3/4)*x + x^2 - 1)*sqrt((2*x^4 + 2*sqrt(2)*(x^4 + x^2 - 1)^(1/4)*x^3 + 4*sqrt(x^4 + x^2 - 1)*x^2 + 2*sqrt(2)*(x^4 + x^2 - 1)^(3/4)*x + x^2 - 1)/(2*x^4 + x^2 - 1)))/(x^2 - 1)) + 20*sqrt(2)*x^5*arctan((sqrt(2)*(x^4 + x^2 - 1)^(1/4)*x^3 + sqrt(2)*(x^4 + x^2 - 1)^(3/4)*x + (2*x^4 + sqrt(2)*(x^4 + x^2 - 1)^(1/4)*x^3 + 2*sqrt(x^4 + x^2 - 1)*x^2 + sqrt(2)*(x^4 + x^2 - 1)^(3/4)*x + x^2 - 1)*sqrt((2*x^4 - 2*sqrt(2)*(x^4 + x^2 - 1)^(1/4)*x^3 + 4*sqrt(x^4 + x^2 - 1)*x^2 - 2*sqrt(2)*(x^4 + x^2 - 1)^(3/4)*x + x^2 - 1)/(2*x^4 + x^2 - 1)))/(x^2 - 1)) - 5*sqrt(2)*x^5*log((2*x^4 + 2*sqrt(2)*(x^4 + x^2 - 1)^(1/4)*x^3 + 4*sqrt(x^4 + x^2 - 1)*x^2 + 2*sqrt(2)*(x^4 + x^2 - 1)^(3/4)*x + x^2 - 1)/(2*x^4 + x^2 - 1)) + 5*sqrt(2)*x^5*log((2*x^4 - 2*sqrt(2)*(x^4 + x^2 - 1)^(1/4)*x^3 + 4*sqrt(x^4 + x^2 - 1)*x^2 - 2*sqrt(2)*(x^4 + x^2 - 1)^(3/4)*x + x^2 - 1)/(2*x^4 + x^2 - 1)) + 8*(9*x^4 - x^2 + 1)*(x^4 + x^2 - 1)^(1/4))/x^5","B",0
1815,1,264,0,0.461643," ","integrate(x^2*(a*x^4+b*x^3)^(1/4),x, algorithm=""fricas"")","\frac{924 \, a^{3} \left(\frac{b^{16}}{a^{15}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} a^{11} b^{4} \left(\frac{b^{16}}{a^{15}}\right)^{\frac{3}{4}} - a^{11} \left(\frac{b^{16}}{a^{15}}\right)^{\frac{3}{4}} x \sqrt{\frac{a^{8} \sqrt{\frac{b^{16}}{a^{15}}} x^{2} + \sqrt{a x^{4} + b x^{3}} b^{8}}{x^{2}}}}{b^{16} x}\right) - 231 \, a^{3} \left(\frac{b^{16}}{a^{15}}\right)^{\frac{1}{4}} \log\left(\frac{77 \, {\left(a^{4} \left(\frac{b^{16}}{a^{15}}\right)^{\frac{1}{4}} x + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} b^{4}\right)}}{x}\right) + 231 \, a^{3} \left(\frac{b^{16}}{a^{15}}\right)^{\frac{1}{4}} \log\left(-\frac{77 \, {\left(a^{4} \left(\frac{b^{16}}{a^{15}}\right)^{\frac{1}{4}} x - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} b^{4}\right)}}{x}\right) + 4 \, {\left(384 \, a^{3} x^{3} + 32 \, a^{2} b x^{2} - 44 \, a b^{2} x + 77 \, b^{3}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{6144 \, a^{3}}"," ",0,"1/6144*(924*a^3*(b^16/a^15)^(1/4)*arctan(-((a*x^4 + b*x^3)^(1/4)*a^11*b^4*(b^16/a^15)^(3/4) - a^11*(b^16/a^15)^(3/4)*x*sqrt((a^8*sqrt(b^16/a^15)*x^2 + sqrt(a*x^4 + b*x^3)*b^8)/x^2))/(b^16*x)) - 231*a^3*(b^16/a^15)^(1/4)*log(77*(a^4*(b^16/a^15)^(1/4)*x + (a*x^4 + b*x^3)^(1/4)*b^4)/x) + 231*a^3*(b^16/a^15)^(1/4)*log(-77*(a^4*(b^16/a^15)^(1/4)*x - (a*x^4 + b*x^3)^(1/4)*b^4)/x) + 4*(384*a^3*x^3 + 32*a^2*b*x^2 - 44*a*b^2*x + 77*b^3)*(a*x^4 + b*x^3)^(1/4))/a^3","B",0
1816,1,196,0,0.477878," ","integrate((x^6+1)/(x^3+x^2+x)^(1/2)/(-x^6+1),x, algorithm=""fricas"")","\frac{3 \, \sqrt{2} {\left(x^{2} + x + 1\right)} \log\left(\frac{x^{4} + 14 \, x^{3} + 4 \, \sqrt{2} \sqrt{x^{3} + x^{2} + x} {\left(x^{2} + 3 \, x + 1\right)} + 19 \, x^{2} + 14 \, x + 1}{x^{4} - 2 \, x^{3} + 3 \, x^{2} - 2 \, x + 1}\right) + \sqrt{3} {\left(x^{2} + x + 1\right)} \log\left(\frac{x^{4} + 20 \, x^{3} + 4 \, \sqrt{3} \sqrt{x^{3} + x^{2} + x} {\left(x^{2} + 4 \, x + 1\right)} + 30 \, x^{2} + 20 \, x + 1}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right) - 6 \, {\left(x^{2} + x + 1\right)} \arctan\left(\frac{x^{2} + 1}{2 \, \sqrt{x^{3} + x^{2} + x}}\right) + 24 \, \sqrt{x^{3} + x^{2} + x}}{36 \, {\left(x^{2} + x + 1\right)}}"," ",0,"1/36*(3*sqrt(2)*(x^2 + x + 1)*log((x^4 + 14*x^3 + 4*sqrt(2)*sqrt(x^3 + x^2 + x)*(x^2 + 3*x + 1) + 19*x^2 + 14*x + 1)/(x^4 - 2*x^3 + 3*x^2 - 2*x + 1)) + sqrt(3)*(x^2 + x + 1)*log((x^4 + 20*x^3 + 4*sqrt(3)*sqrt(x^3 + x^2 + x)*(x^2 + 4*x + 1) + 30*x^2 + 20*x + 1)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)) - 6*(x^2 + x + 1)*arctan(1/2*(x^2 + 1)/sqrt(x^3 + x^2 + x)) + 24*sqrt(x^3 + x^2 + x))/(x^2 + x + 1)","A",0
1817,1,479,0,2.066623," ","integrate((3*x^6-3*x^3+1)/x^6/(2*x^3-1)/(x^4-x)^(1/4),x, algorithm=""fricas"")","\frac{28 \, \sqrt{2} x^{6} \arctan\left(-\frac{\sqrt{2} {\left(x^{4} - x\right)}^{\frac{3}{4}} x - \sqrt{2} {\left(x^{4} - x\right)}^{\frac{1}{4}} {\left(x^{3} - 1\right)} + {\left(2 \, x^{4} - \sqrt{2} {\left(x^{4} - x\right)}^{\frac{3}{4}} x - \sqrt{2} {\left(x^{4} - x\right)}^{\frac{1}{4}} {\left(x^{3} - 1\right)} - 2 \, x\right)} \sqrt{\frac{2 \, x^{3} + 2 \, \sqrt{2} {\left(x^{4} - x\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{x^{4} - x} x + 2 \, \sqrt{2} {\left(x^{4} - x\right)}^{\frac{3}{4}} - 1}{2 \, x^{3} - 1}}}{2 \, {\left(x^{4} - x\right)}}\right) + 28 \, \sqrt{2} x^{6} \arctan\left(-\frac{\sqrt{2} {\left(x^{4} - x\right)}^{\frac{3}{4}} x - \sqrt{2} {\left(x^{4} - x\right)}^{\frac{1}{4}} {\left(x^{3} - 1\right)} - {\left(2 \, x^{4} + \sqrt{2} {\left(x^{4} - x\right)}^{\frac{3}{4}} x + \sqrt{2} {\left(x^{4} - x\right)}^{\frac{1}{4}} {\left(x^{3} - 1\right)} - 2 \, x\right)} \sqrt{\frac{2 \, x^{3} - 2 \, \sqrt{2} {\left(x^{4} - x\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{x^{4} - x} x - 2 \, \sqrt{2} {\left(x^{4} - x\right)}^{\frac{3}{4}} - 1}{2 \, x^{3} - 1}}}{2 \, {\left(x^{4} - x\right)}}\right) - 7 \, \sqrt{2} x^{6} \log\left(\frac{2 \, x^{3} + 2 \, \sqrt{2} {\left(x^{4} - x\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{x^{4} - x} x + 2 \, \sqrt{2} {\left(x^{4} - x\right)}^{\frac{3}{4}} - 1}{2 \, x^{3} - 1}\right) + 7 \, \sqrt{2} x^{6} \log\left(\frac{2 \, x^{3} - 2 \, \sqrt{2} {\left(x^{4} - x\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{x^{4} - x} x - 2 \, \sqrt{2} {\left(x^{4} - x\right)}^{\frac{3}{4}} - 1}{2 \, x^{3} - 1}\right) + 16 \, {\left(x^{4} - x\right)}^{\frac{3}{4}} {\left(x^{3} - 1\right)}}{84 \, x^{6}}"," ",0,"1/84*(28*sqrt(2)*x^6*arctan(-1/2*(sqrt(2)*(x^4 - x)^(3/4)*x - sqrt(2)*(x^4 - x)^(1/4)*(x^3 - 1) + (2*x^4 - sqrt(2)*(x^4 - x)^(3/4)*x - sqrt(2)*(x^4 - x)^(1/4)*(x^3 - 1) - 2*x)*sqrt((2*x^3 + 2*sqrt(2)*(x^4 - x)^(1/4)*x^2 + 4*sqrt(x^4 - x)*x + 2*sqrt(2)*(x^4 - x)^(3/4) - 1)/(2*x^3 - 1)))/(x^4 - x)) + 28*sqrt(2)*x^6*arctan(-1/2*(sqrt(2)*(x^4 - x)^(3/4)*x - sqrt(2)*(x^4 - x)^(1/4)*(x^3 - 1) - (2*x^4 + sqrt(2)*(x^4 - x)^(3/4)*x + sqrt(2)*(x^4 - x)^(1/4)*(x^3 - 1) - 2*x)*sqrt((2*x^3 - 2*sqrt(2)*(x^4 - x)^(1/4)*x^2 + 4*sqrt(x^4 - x)*x - 2*sqrt(2)*(x^4 - x)^(3/4) - 1)/(2*x^3 - 1)))/(x^4 - x)) - 7*sqrt(2)*x^6*log((2*x^3 + 2*sqrt(2)*(x^4 - x)^(1/4)*x^2 + 4*sqrt(x^4 - x)*x + 2*sqrt(2)*(x^4 - x)^(3/4) - 1)/(2*x^3 - 1)) + 7*sqrt(2)*x^6*log((2*x^3 - 2*sqrt(2)*(x^4 - x)^(1/4)*x^2 + 4*sqrt(x^4 - x)*x - 2*sqrt(2)*(x^4 - x)^(3/4) - 1)/(2*x^3 - 1)) + 16*(x^4 - x)^(3/4)*(x^3 - 1))/x^6","B",0
1818,-1,0,0,0.000000," ","integrate((a*x^6+b)/x^3/(a*x^3+b)/(a*x^4+b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1819,1,935,0,1.171884," ","integrate((x^4-x^2-x-1)*(2*x^4+x+2)/(x^4-x-1)^(1/2)/(4*x^8+x^6-8*x^5-7*x^4-x^3+3*x^2+8*x+4),x, algorithm=""fricas"")","\frac{1}{300} \, \sqrt{15} \sqrt{10} \sqrt{5} \sqrt{3} \sqrt{2} \arctan\left(\frac{80 \, \sqrt{15} \sqrt{10} \sqrt{5} \sqrt{3} \sqrt{2} {\left(2 \, x^{5} - x^{3} - 2 \, x^{2} - 2 \, x\right)} \sqrt{x^{4} - x - 1} + 225 \, \sqrt{5} \sqrt{3} {\left(4 \, x^{8} + x^{6} - 8 \, x^{5} - 7 \, x^{4} - x^{3} + 3 \, x^{2} + 8 \, x + 4\right)} + 2 \, \sqrt{10} {\left(\sqrt{15} \sqrt{10} \sqrt{5} \sqrt{3} \sqrt{2} {\left(4 \, x^{8} - 9 \, x^{6} - 8 \, x^{5} - 9 \, x^{4} + 9 \, x^{3} + 13 \, x^{2} + 8 \, x + 4\right)} + 120 \, \sqrt{5} \sqrt{3} {\left(x^{5} + x^{3} - x^{2} - x\right)} \sqrt{x^{4} - x - 1}\right)} \sqrt{\frac{20 \, x^{8} + 35 \, x^{6} - 40 \, x^{5} - 35 \, x^{4} + \sqrt{15} \sqrt{10} \sqrt{2} {\left(2 \, x^{5} + x^{3} - 2 \, x^{2} - 2 \, x\right)} \sqrt{x^{4} - x - 1} - 35 \, x^{3} - 15 \, x^{2} + 40 \, x + 20}{4 \, x^{8} + x^{6} - 8 \, x^{5} - 7 \, x^{4} - x^{3} + 3 \, x^{2} + 8 \, x + 4}}}{375 \, {\left(4 \, x^{8} - 31 \, x^{6} - 8 \, x^{5} - 7 \, x^{4} + 31 \, x^{3} + 35 \, x^{2} + 8 \, x + 4\right)}}\right) - \frac{1}{300} \, \sqrt{15} \sqrt{10} \sqrt{5} \sqrt{3} \sqrt{2} \arctan\left(-\frac{80 \, \sqrt{15} \sqrt{10} \sqrt{5} \sqrt{3} \sqrt{2} {\left(2 \, x^{5} - x^{3} - 2 \, x^{2} - 2 \, x\right)} \sqrt{x^{4} - x - 1} - 225 \, \sqrt{5} \sqrt{3} {\left(4 \, x^{8} + x^{6} - 8 \, x^{5} - 7 \, x^{4} - x^{3} + 3 \, x^{2} + 8 \, x + 4\right)} + 2 \, \sqrt{10} {\left(\sqrt{15} \sqrt{10} \sqrt{5} \sqrt{3} \sqrt{2} {\left(4 \, x^{8} - 9 \, x^{6} - 8 \, x^{5} - 9 \, x^{4} + 9 \, x^{3} + 13 \, x^{2} + 8 \, x + 4\right)} - 120 \, \sqrt{5} \sqrt{3} {\left(x^{5} + x^{3} - x^{2} - x\right)} \sqrt{x^{4} - x - 1}\right)} \sqrt{\frac{20 \, x^{8} + 35 \, x^{6} - 40 \, x^{5} - 35 \, x^{4} - \sqrt{15} \sqrt{10} \sqrt{2} {\left(2 \, x^{5} + x^{3} - 2 \, x^{2} - 2 \, x\right)} \sqrt{x^{4} - x - 1} - 35 \, x^{3} - 15 \, x^{2} + 40 \, x + 20}{4 \, x^{8} + x^{6} - 8 \, x^{5} - 7 \, x^{4} - x^{3} + 3 \, x^{2} + 8 \, x + 4}}}{375 \, {\left(4 \, x^{8} - 31 \, x^{6} - 8 \, x^{5} - 7 \, x^{4} + 31 \, x^{3} + 35 \, x^{2} + 8 \, x + 4\right)}}\right) - \frac{1}{80} \, \sqrt{15} \sqrt{10} \sqrt{2} \log\left(\frac{640 \, {\left(20 \, x^{8} + 35 \, x^{6} - 40 \, x^{5} - 35 \, x^{4} + \sqrt{15} \sqrt{10} \sqrt{2} {\left(2 \, x^{5} + x^{3} - 2 \, x^{2} - 2 \, x\right)} \sqrt{x^{4} - x - 1} - 35 \, x^{3} - 15 \, x^{2} + 40 \, x + 20\right)}}{4 \, x^{8} + x^{6} - 8 \, x^{5} - 7 \, x^{4} - x^{3} + 3 \, x^{2} + 8 \, x + 4}\right) + \frac{1}{80} \, \sqrt{15} \sqrt{10} \sqrt{2} \log\left(\frac{640 \, {\left(20 \, x^{8} + 35 \, x^{6} - 40 \, x^{5} - 35 \, x^{4} - \sqrt{15} \sqrt{10} \sqrt{2} {\left(2 \, x^{5} + x^{3} - 2 \, x^{2} - 2 \, x\right)} \sqrt{x^{4} - x - 1} - 35 \, x^{3} - 15 \, x^{2} + 40 \, x + 20\right)}}{4 \, x^{8} + x^{6} - 8 \, x^{5} - 7 \, x^{4} - x^{3} + 3 \, x^{2} + 8 \, x + 4}\right)"," ",0,"1/300*sqrt(15)*sqrt(10)*sqrt(5)*sqrt(3)*sqrt(2)*arctan(1/375*(80*sqrt(15)*sqrt(10)*sqrt(5)*sqrt(3)*sqrt(2)*(2*x^5 - x^3 - 2*x^2 - 2*x)*sqrt(x^4 - x - 1) + 225*sqrt(5)*sqrt(3)*(4*x^8 + x^6 - 8*x^5 - 7*x^4 - x^3 + 3*x^2 + 8*x + 4) + 2*sqrt(10)*(sqrt(15)*sqrt(10)*sqrt(5)*sqrt(3)*sqrt(2)*(4*x^8 - 9*x^6 - 8*x^5 - 9*x^4 + 9*x^3 + 13*x^2 + 8*x + 4) + 120*sqrt(5)*sqrt(3)*(x^5 + x^3 - x^2 - x)*sqrt(x^4 - x - 1))*sqrt((20*x^8 + 35*x^6 - 40*x^5 - 35*x^4 + sqrt(15)*sqrt(10)*sqrt(2)*(2*x^5 + x^3 - 2*x^2 - 2*x)*sqrt(x^4 - x - 1) - 35*x^3 - 15*x^2 + 40*x + 20)/(4*x^8 + x^6 - 8*x^5 - 7*x^4 - x^3 + 3*x^2 + 8*x + 4)))/(4*x^8 - 31*x^6 - 8*x^5 - 7*x^4 + 31*x^3 + 35*x^2 + 8*x + 4)) - 1/300*sqrt(15)*sqrt(10)*sqrt(5)*sqrt(3)*sqrt(2)*arctan(-1/375*(80*sqrt(15)*sqrt(10)*sqrt(5)*sqrt(3)*sqrt(2)*(2*x^5 - x^3 - 2*x^2 - 2*x)*sqrt(x^4 - x - 1) - 225*sqrt(5)*sqrt(3)*(4*x^8 + x^6 - 8*x^5 - 7*x^4 - x^3 + 3*x^2 + 8*x + 4) + 2*sqrt(10)*(sqrt(15)*sqrt(10)*sqrt(5)*sqrt(3)*sqrt(2)*(4*x^8 - 9*x^6 - 8*x^5 - 9*x^4 + 9*x^3 + 13*x^2 + 8*x + 4) - 120*sqrt(5)*sqrt(3)*(x^5 + x^3 - x^2 - x)*sqrt(x^4 - x - 1))*sqrt((20*x^8 + 35*x^6 - 40*x^5 - 35*x^4 - sqrt(15)*sqrt(10)*sqrt(2)*(2*x^5 + x^3 - 2*x^2 - 2*x)*sqrt(x^4 - x - 1) - 35*x^3 - 15*x^2 + 40*x + 20)/(4*x^8 + x^6 - 8*x^5 - 7*x^4 - x^3 + 3*x^2 + 8*x + 4)))/(4*x^8 - 31*x^6 - 8*x^5 - 7*x^4 + 31*x^3 + 35*x^2 + 8*x + 4)) - 1/80*sqrt(15)*sqrt(10)*sqrt(2)*log(640*(20*x^8 + 35*x^6 - 40*x^5 - 35*x^4 + sqrt(15)*sqrt(10)*sqrt(2)*(2*x^5 + x^3 - 2*x^2 - 2*x)*sqrt(x^4 - x - 1) - 35*x^3 - 15*x^2 + 40*x + 20)/(4*x^8 + x^6 - 8*x^5 - 7*x^4 - x^3 + 3*x^2 + 8*x + 4)) + 1/80*sqrt(15)*sqrt(10)*sqrt(2)*log(640*(20*x^8 + 35*x^6 - 40*x^5 - 35*x^4 - sqrt(15)*sqrt(10)*sqrt(2)*(2*x^5 + x^3 - 2*x^2 - 2*x)*sqrt(x^4 - x - 1) - 35*x^3 - 15*x^2 + 40*x + 20)/(4*x^8 + x^6 - 8*x^5 - 7*x^4 - x^3 + 3*x^2 + 8*x + 4))","B",0
1820,1,555,0,1.015293," ","integrate((x^6+1)^2*(2*x^6-1)/(x^6-x^2+1)^(3/2)/(x^12-x^8+2*x^6-x^4-x^2+1),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{10} {\left(x^{6} - x^{2} + 1\right)} \sqrt{13 \, \sqrt{5} - 29} \arctan\left(\frac{2 \, \sqrt{10} {\left(15 \, x^{7} - 5 \, x^{3} + \sqrt{5} {\left(7 \, x^{7} - 3 \, x^{3} + 7 \, x\right)} + 15 \, x\right)} \sqrt{x^{6} - x^{2} + 1} \sqrt{13 \, \sqrt{5} - 29} + \sqrt{10} {\left(5 \, x^{12} + 5 \, x^{8} + 10 \, x^{6} - 5 \, x^{4} + 5 \, x^{2} + \sqrt{5} {\left(3 \, x^{12} - x^{8} + 6 \, x^{6} + x^{4} - x^{2} + 3\right)} + 5\right)} \sqrt{13 \, \sqrt{5} - 29} \sqrt{\sqrt{5} + 2}}{20 \, {\left(x^{12} - 3 \, x^{8} + 2 \, x^{6} + x^{4} - 3 \, x^{2} + 1\right)}}\right) + \sqrt{10} {\left(x^{6} - x^{2} + 1\right)} \sqrt{13 \, \sqrt{5} + 29} \log\left(-\frac{\sqrt{10} {\left(25 \, x^{12} - 105 \, x^{8} + 50 \, x^{6} + 105 \, x^{4} - 105 \, x^{2} - \sqrt{5} {\left(11 \, x^{12} - 47 \, x^{8} + 22 \, x^{6} + 47 \, x^{4} - 47 \, x^{2} + 11\right)} + 25\right)} \sqrt{13 \, \sqrt{5} + 29} + 20 \, {\left(3 \, x^{7} - 4 \, x^{3} - \sqrt{5} {\left(x^{7} - 2 \, x^{3} + x\right)} + 3 \, x\right)} \sqrt{x^{6} - x^{2} + 1}}{x^{12} - x^{8} + 2 \, x^{6} - x^{4} - x^{2} + 1}\right) - \sqrt{10} {\left(x^{6} - x^{2} + 1\right)} \sqrt{13 \, \sqrt{5} + 29} \log\left(\frac{\sqrt{10} {\left(25 \, x^{12} - 105 \, x^{8} + 50 \, x^{6} + 105 \, x^{4} - 105 \, x^{2} - \sqrt{5} {\left(11 \, x^{12} - 47 \, x^{8} + 22 \, x^{6} + 47 \, x^{4} - 47 \, x^{2} + 11\right)} + 25\right)} \sqrt{13 \, \sqrt{5} + 29} - 20 \, {\left(3 \, x^{7} - 4 \, x^{3} - \sqrt{5} {\left(x^{7} - 2 \, x^{3} + x\right)} + 3 \, x\right)} \sqrt{x^{6} - x^{2} + 1}}{x^{12} - x^{8} + 2 \, x^{6} - x^{4} - x^{2} + 1}\right) - 40 \, \sqrt{x^{6} - x^{2} + 1} x}{40 \, {\left(x^{6} - x^{2} + 1\right)}}"," ",0,"-1/40*(4*sqrt(10)*(x^6 - x^2 + 1)*sqrt(13*sqrt(5) - 29)*arctan(1/20*(2*sqrt(10)*(15*x^7 - 5*x^3 + sqrt(5)*(7*x^7 - 3*x^3 + 7*x) + 15*x)*sqrt(x^6 - x^2 + 1)*sqrt(13*sqrt(5) - 29) + sqrt(10)*(5*x^12 + 5*x^8 + 10*x^6 - 5*x^4 + 5*x^2 + sqrt(5)*(3*x^12 - x^8 + 6*x^6 + x^4 - x^2 + 3) + 5)*sqrt(13*sqrt(5) - 29)*sqrt(sqrt(5) + 2))/(x^12 - 3*x^8 + 2*x^6 + x^4 - 3*x^2 + 1)) + sqrt(10)*(x^6 - x^2 + 1)*sqrt(13*sqrt(5) + 29)*log(-(sqrt(10)*(25*x^12 - 105*x^8 + 50*x^6 + 105*x^4 - 105*x^2 - sqrt(5)*(11*x^12 - 47*x^8 + 22*x^6 + 47*x^4 - 47*x^2 + 11) + 25)*sqrt(13*sqrt(5) + 29) + 20*(3*x^7 - 4*x^3 - sqrt(5)*(x^7 - 2*x^3 + x) + 3*x)*sqrt(x^6 - x^2 + 1))/(x^12 - x^8 + 2*x^6 - x^4 - x^2 + 1)) - sqrt(10)*(x^6 - x^2 + 1)*sqrt(13*sqrt(5) + 29)*log((sqrt(10)*(25*x^12 - 105*x^8 + 50*x^6 + 105*x^4 - 105*x^2 - sqrt(5)*(11*x^12 - 47*x^8 + 22*x^6 + 47*x^4 - 47*x^2 + 11) + 25)*sqrt(13*sqrt(5) + 29) - 20*(3*x^7 - 4*x^3 - sqrt(5)*(x^7 - 2*x^3 + x) + 3*x)*sqrt(x^6 - x^2 + 1))/(x^12 - x^8 + 2*x^6 - x^4 - x^2 + 1)) - 40*sqrt(x^6 - x^2 + 1)*x)/(x^6 - x^2 + 1)","B",0
1821,1,105,0,0.492731," ","integrate(1/(2*x^(1/2)+(1+x)^(1/2))^2,x, algorithm=""fricas"")","-\frac{5 \, {\left(3 \, x - 1\right)} \log\left(3 \, \sqrt{x + 1} \sqrt{x} - 3 \, x - 1\right) - 4 \, {\left(3 \, x - 1\right)} \log\left(2 \, \sqrt{x + 1} \sqrt{x} - 2 \, x - 1\right) - 5 \, {\left(3 \, x - 1\right)} \log\left(\sqrt{x + 1} \sqrt{x} - x + 1\right) - 5 \, {\left(3 \, x - 1\right)} \log\left(3 \, x - 1\right) - 12 \, \sqrt{x + 1} \sqrt{x} - 12 \, x + 12}{9 \, {\left(3 \, x - 1\right)}}"," ",0,"-1/9*(5*(3*x - 1)*log(3*sqrt(x + 1)*sqrt(x) - 3*x - 1) - 4*(3*x - 1)*log(2*sqrt(x + 1)*sqrt(x) - 2*x - 1) - 5*(3*x - 1)*log(sqrt(x + 1)*sqrt(x) - x + 1) - 5*(3*x - 1)*log(3*x - 1) - 12*sqrt(x + 1)*sqrt(x) - 12*x + 12)/(3*x - 1)","A",0
1822,1,79,0,0.472330," ","integrate(1/x^3/(a*x^2+b*x*(-a/b^2+a^2*x^2/b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, a^{2} x^{3} - 4 \, a x - {\left(2 \, a b x^{2} - 3 \, b\right)} \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}}\right)} \sqrt{a x^{2} + b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}}}}{15 \, a x^{3}}"," ",0,"2/15*(2*a^2*x^3 - 4*a*x - (2*a*b*x^2 - 3*b)*sqrt((a^2*x^2 - a)/b^2))*sqrt(a*x^2 + b*x*sqrt((a^2*x^2 - a)/b^2))/(a*x^3)","A",0
1823,1,127,0,0.450048," ","integrate(1/x/(a*x^2-b)^(1/4),x, algorithm=""fricas"")","-2 \, \left(-\frac{1}{b}\right)^{\frac{1}{4}} \arctan\left(\sqrt{-b \sqrt{-\frac{1}{b}} + \sqrt{a x^{2} - b}} \left(-\frac{1}{b}\right)^{\frac{1}{4}} - {\left(a x^{2} - b\right)}^{\frac{1}{4}} \left(-\frac{1}{b}\right)^{\frac{1}{4}}\right) + \frac{1}{2} \, \left(-\frac{1}{b}\right)^{\frac{1}{4}} \log\left(b \left(-\frac{1}{b}\right)^{\frac{3}{4}} + {\left(a x^{2} - b\right)}^{\frac{1}{4}}\right) - \frac{1}{2} \, \left(-\frac{1}{b}\right)^{\frac{1}{4}} \log\left(-b \left(-\frac{1}{b}\right)^{\frac{3}{4}} + {\left(a x^{2} - b\right)}^{\frac{1}{4}}\right)"," ",0,"-2*(-1/b)^(1/4)*arctan(sqrt(-b*sqrt(-1/b) + sqrt(a*x^2 - b))*(-1/b)^(1/4) - (a*x^2 - b)^(1/4)*(-1/b)^(1/4)) + 1/2*(-1/b)^(1/4)*log(b*(-1/b)^(3/4) + (a*x^2 - b)^(1/4)) - 1/2*(-1/b)^(1/4)*log(-b*(-1/b)^(3/4) + (a*x^2 - b)^(1/4))","A",0
1824,1,213,0,0.855260," ","integrate((1+k^(3/2)*x^3)/((-x^2+1)*(-k^2*x^2+1))^(1/2)/(-1+k^(3/2)*x^3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{k^{2} + k + 1} {\left(k - 1\right)} \arctan\left(-\frac{\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1} \sqrt{k^{2} + k + 1} {\left({\left(k^{2} + 2 \, k + 1\right)} x - {\left(k x^{2} + 1\right)} \sqrt{k}\right)}}{k^{3} x^{4} - {\left(k^{4} + 4 \, k^{3} + 4 \, k^{2} + 4 \, k + 1\right)} x^{2} + k}\right) - {\left(k^{2} + k + 1\right)} \arctan\left(\frac{\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1} {\left({\left(k^{3} + k^{2} - k - 1\right)} x + 2 \, {\left({\left(k^{2} - k\right)} x^{2} + k - 1\right)} \sqrt{k}\right)}}{4 \, k^{3} x^{4} - {\left(k^{4} + 4 \, k^{3} - 2 \, k^{2} + 4 \, k + 1\right)} x^{2} + 4 \, k}\right)}{3 \, {\left(k^{3} - 1\right)}}"," ",0,"1/3*(2*sqrt(k^2 + k + 1)*(k - 1)*arctan(-sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)*sqrt(k^2 + k + 1)*((k^2 + 2*k + 1)*x - (k*x^2 + 1)*sqrt(k))/(k^3*x^4 - (k^4 + 4*k^3 + 4*k^2 + 4*k + 1)*x^2 + k)) - (k^2 + k + 1)*arctan(sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)*((k^3 + k^2 - k - 1)*x + 2*((k^2 - k)*x^2 + k - 1)*sqrt(k))/(4*k^3*x^4 - (k^4 + 4*k^3 - 2*k^2 + 4*k + 1)*x^2 + 4*k)))/(k^3 - 1)","B",0
1825,1,771,0,0.481640," ","integrate((2*c*x-d)*(a*x^4+b*x^3)^(1/4)/x,x, algorithm=""fricas"")","\frac{4 \, a \left(\frac{81 \, b^{8} c^{4} + 432 \, a b^{7} c^{3} d + 864 \, a^{2} b^{6} c^{2} d^{2} + 768 \, a^{3} b^{5} c d^{3} + 256 \, a^{4} b^{4} d^{4}}{a^{7}}\right)^{\frac{1}{4}} \arctan\left(\frac{a^{5} x \sqrt{\frac{a^{4} x^{2} \sqrt{\frac{81 \, b^{8} c^{4} + 432 \, a b^{7} c^{3} d + 864 \, a^{2} b^{6} c^{2} d^{2} + 768 \, a^{3} b^{5} c d^{3} + 256 \, a^{4} b^{4} d^{4}}{a^{7}}} + {\left(9 \, b^{4} c^{2} + 24 \, a b^{3} c d + 16 \, a^{2} b^{2} d^{2}\right)} \sqrt{a x^{4} + b x^{3}}}{x^{2}}} \left(\frac{81 \, b^{8} c^{4} + 432 \, a b^{7} c^{3} d + 864 \, a^{2} b^{6} c^{2} d^{2} + 768 \, a^{3} b^{5} c d^{3} + 256 \, a^{4} b^{4} d^{4}}{a^{7}}\right)^{\frac{3}{4}} - {\left(3 \, a^{5} b^{2} c + 4 \, a^{6} b d\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} \left(\frac{81 \, b^{8} c^{4} + 432 \, a b^{7} c^{3} d + 864 \, a^{2} b^{6} c^{2} d^{2} + 768 \, a^{3} b^{5} c d^{3} + 256 \, a^{4} b^{4} d^{4}}{a^{7}}\right)^{\frac{3}{4}}}{{\left(81 \, b^{8} c^{4} + 432 \, a b^{7} c^{3} d + 864 \, a^{2} b^{6} c^{2} d^{2} + 768 \, a^{3} b^{5} c d^{3} + 256 \, a^{4} b^{4} d^{4}\right)} x}\right) - a \left(\frac{81 \, b^{8} c^{4} + 432 \, a b^{7} c^{3} d + 864 \, a^{2} b^{6} c^{2} d^{2} + 768 \, a^{3} b^{5} c d^{3} + 256 \, a^{4} b^{4} d^{4}}{a^{7}}\right)^{\frac{1}{4}} \log\left(\frac{a^{2} x \left(\frac{81 \, b^{8} c^{4} + 432 \, a b^{7} c^{3} d + 864 \, a^{2} b^{6} c^{2} d^{2} + 768 \, a^{3} b^{5} c d^{3} + 256 \, a^{4} b^{4} d^{4}}{a^{7}}\right)^{\frac{1}{4}} + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(3 \, b^{2} c + 4 \, a b d\right)}}{x}\right) + a \left(\frac{81 \, b^{8} c^{4} + 432 \, a b^{7} c^{3} d + 864 \, a^{2} b^{6} c^{2} d^{2} + 768 \, a^{3} b^{5} c d^{3} + 256 \, a^{4} b^{4} d^{4}}{a^{7}}\right)^{\frac{1}{4}} \log\left(-\frac{a^{2} x \left(\frac{81 \, b^{8} c^{4} + 432 \, a b^{7} c^{3} d + 864 \, a^{2} b^{6} c^{2} d^{2} + 768 \, a^{3} b^{5} c d^{3} + 256 \, a^{4} b^{4} d^{4}}{a^{7}}\right)^{\frac{1}{4}} - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(3 \, b^{2} c + 4 \, a b d\right)}}{x}\right) + 4 \, {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(4 \, a c x + b c - 4 \, a d\right)}}{16 \, a}"," ",0,"1/16*(4*a*((81*b^8*c^4 + 432*a*b^7*c^3*d + 864*a^2*b^6*c^2*d^2 + 768*a^3*b^5*c*d^3 + 256*a^4*b^4*d^4)/a^7)^(1/4)*arctan((a^5*x*sqrt((a^4*x^2*sqrt((81*b^8*c^4 + 432*a*b^7*c^3*d + 864*a^2*b^6*c^2*d^2 + 768*a^3*b^5*c*d^3 + 256*a^4*b^4*d^4)/a^7) + (9*b^4*c^2 + 24*a*b^3*c*d + 16*a^2*b^2*d^2)*sqrt(a*x^4 + b*x^3))/x^2)*((81*b^8*c^4 + 432*a*b^7*c^3*d + 864*a^2*b^6*c^2*d^2 + 768*a^3*b^5*c*d^3 + 256*a^4*b^4*d^4)/a^7)^(3/4) - (3*a^5*b^2*c + 4*a^6*b*d)*(a*x^4 + b*x^3)^(1/4)*((81*b^8*c^4 + 432*a*b^7*c^3*d + 864*a^2*b^6*c^2*d^2 + 768*a^3*b^5*c*d^3 + 256*a^4*b^4*d^4)/a^7)^(3/4))/((81*b^8*c^4 + 432*a*b^7*c^3*d + 864*a^2*b^6*c^2*d^2 + 768*a^3*b^5*c*d^3 + 256*a^4*b^4*d^4)*x)) - a*((81*b^8*c^4 + 432*a*b^7*c^3*d + 864*a^2*b^6*c^2*d^2 + 768*a^3*b^5*c*d^3 + 256*a^4*b^4*d^4)/a^7)^(1/4)*log((a^2*x*((81*b^8*c^4 + 432*a*b^7*c^3*d + 864*a^2*b^6*c^2*d^2 + 768*a^3*b^5*c*d^3 + 256*a^4*b^4*d^4)/a^7)^(1/4) + (a*x^4 + b*x^3)^(1/4)*(3*b^2*c + 4*a*b*d))/x) + a*((81*b^8*c^4 + 432*a*b^7*c^3*d + 864*a^2*b^6*c^2*d^2 + 768*a^3*b^5*c*d^3 + 256*a^4*b^4*d^4)/a^7)^(1/4)*log(-(a^2*x*((81*b^8*c^4 + 432*a*b^7*c^3*d + 864*a^2*b^6*c^2*d^2 + 768*a^3*b^5*c*d^3 + 256*a^4*b^4*d^4)/a^7)^(1/4) - (a*x^4 + b*x^3)^(1/4)*(3*b^2*c + 4*a*b*d))/x) + 4*(a*x^4 + b*x^3)^(1/4)*(4*a*c*x + b*c - 4*a*d))/a","B",0
1826,1,148,0,4.787088," ","integrate((x^6-1)/(x^6+1)/(a^3*x^3+x^6+1)^(1/3),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} \arctan\left(-\frac{4 \, \sqrt{3} {\left(a^{3} x^{3} + x^{6} + 1\right)}^{\frac{1}{3}} a^{2} x^{2} - 2 \, \sqrt{3} {\left(a^{3} x^{3} + x^{6} + 1\right)}^{\frac{2}{3}} a x + \sqrt{3} {\left(a^{3} x^{3} + x^{6} + 1\right)}}{9 \, a^{3} x^{3} + x^{6} + 1}\right) - \log\left(\frac{x^{6} + 3 \, {\left(a^{3} x^{3} + x^{6} + 1\right)}^{\frac{1}{3}} a^{2} x^{2} - 3 \, {\left(a^{3} x^{3} + x^{6} + 1\right)}^{\frac{2}{3}} a x + 1}{x^{6} + 1}\right)}{6 \, a}"," ",0,"-1/6*(2*sqrt(3)*arctan(-(4*sqrt(3)*(a^3*x^3 + x^6 + 1)^(1/3)*a^2*x^2 - 2*sqrt(3)*(a^3*x^3 + x^6 + 1)^(2/3)*a*x + sqrt(3)*(a^3*x^3 + x^6 + 1))/(9*a^3*x^3 + x^6 + 1)) - log((x^6 + 3*(a^3*x^3 + x^6 + 1)^(1/3)*a^2*x^2 - 3*(a^3*x^3 + x^6 + 1)^(2/3)*a*x + 1)/(x^6 + 1)))/a","A",0
1827,1,174,0,2.652263," ","integrate((4*x^6+x^3+2)*(-x^7-x^4+2*x^3+x)^(1/3)/(x^6+x^3-2*x^2-1)/(x^6+x^3-x^2-1),x, algorithm=""fricas"")","\sqrt{3} \arctan\left(-\frac{70 \, \sqrt{3} {\left(-x^{7} - x^{4} + 2 \, x^{3} + x\right)}^{\frac{1}{3}} x - \sqrt{3} {\left(32 \, x^{6} + 32 \, x^{3} - 39 \, x^{2} - 32\right)} - 56 \, \sqrt{3} {\left(-x^{7} - x^{4} + 2 \, x^{3} + x\right)}^{\frac{2}{3}}}{64 \, x^{6} + 64 \, x^{3} - 253 \, x^{2} - 64}\right) - \frac{1}{2} \, \log\left(\frac{x^{6} + x^{3} - x^{2} - 3 \, {\left(-x^{7} - x^{4} + 2 \, x^{3} + x\right)}^{\frac{1}{3}} x + 3 \, {\left(-x^{7} - x^{4} + 2 \, x^{3} + x\right)}^{\frac{2}{3}} - 1}{x^{6} + x^{3} - x^{2} - 1}\right)"," ",0,"sqrt(3)*arctan(-(70*sqrt(3)*(-x^7 - x^4 + 2*x^3 + x)^(1/3)*x - sqrt(3)*(32*x^6 + 32*x^3 - 39*x^2 - 32) - 56*sqrt(3)*(-x^7 - x^4 + 2*x^3 + x)^(2/3))/(64*x^6 + 64*x^3 - 253*x^2 - 64)) - 1/2*log((x^6 + x^3 - x^2 - 3*(-x^7 - x^4 + 2*x^3 + x)^(1/3)*x + 3*(-x^7 - x^4 + 2*x^3 + x)^(2/3) - 1)/(x^6 + x^3 - x^2 - 1))","A",0
1828,1,323,0,3.167025," ","integrate(x^2/(a*x^2+(a^2*x^4+b)^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{\frac{1}{2}} b \sqrt{-\frac{b}{a}} \log\left(4 \, a^{2} b x^{4} - 4 \, \sqrt{a^{2} x^{4} + b} a b x^{2} + b^{2} - 4 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{a^{2} x^{4} + b} a^{2} x^{3} \sqrt{-\frac{b}{a}} - \sqrt{\frac{1}{2}} {\left(2 \, a^{3} x^{5} + a b x\right)} \sqrt{-\frac{b}{a}}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}\right) - 2 \, {\left(2 \, a^{2} x^{5} - 2 \, \sqrt{a^{2} x^{4} + b} a x^{3} - b x\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{16 \, a b}, \frac{\sqrt{\frac{1}{2}} b \sqrt{\frac{b}{a}} \arctan\left(-\frac{{\left(\sqrt{\frac{1}{2}} a x^{2} \sqrt{\frac{b}{a}} - \sqrt{\frac{1}{2}} \sqrt{a^{2} x^{4} + b} \sqrt{\frac{b}{a}}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{b x}\right) - {\left(2 \, a^{2} x^{5} - 2 \, \sqrt{a^{2} x^{4} + b} a x^{3} - b x\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{8 \, a b}\right]"," ",0,"[1/16*(sqrt(1/2)*b*sqrt(-b/a)*log(4*a^2*b*x^4 - 4*sqrt(a^2*x^4 + b)*a*b*x^2 + b^2 - 4*(2*sqrt(1/2)*sqrt(a^2*x^4 + b)*a^2*x^3*sqrt(-b/a) - sqrt(1/2)*(2*a^3*x^5 + a*b*x)*sqrt(-b/a))*sqrt(a*x^2 + sqrt(a^2*x^4 + b))) - 2*(2*a^2*x^5 - 2*sqrt(a^2*x^4 + b)*a*x^3 - b*x)*sqrt(a*x^2 + sqrt(a^2*x^4 + b)))/(a*b), 1/8*(sqrt(1/2)*b*sqrt(b/a)*arctan(-(sqrt(1/2)*a*x^2*sqrt(b/a) - sqrt(1/2)*sqrt(a^2*x^4 + b)*sqrt(b/a))*sqrt(a*x^2 + sqrt(a^2*x^4 + b))/(b*x)) - (2*a^2*x^5 - 2*sqrt(a^2*x^4 + b)*a*x^3 - b*x)*sqrt(a*x^2 + sqrt(a^2*x^4 + b)))/(a*b)]","A",0
1829,1,1964,0,0.570272," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1)^(3/2),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{8} \, \sqrt{\sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 2 \, \sqrt{2} - 2\right)} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(2 \, \sqrt{2} - 3\right)} + 2 \, \sqrt{2} - 2\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(2 \, \sqrt{2} - 3\right)} + 2 \, \sqrt{2} - 2\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 1\right)} + \sqrt{2} - 1\right) + 4 \, {\left(x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{24} \, \sqrt{-9 \, \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 2 \, \sqrt{2} - 2\right)} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 18 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(2 \, \sqrt{2} - 3\right)} + 2 \, \sqrt{2} - 2\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(2 \, \sqrt{2} - 3\right)} + 2 \, \sqrt{2} - 2\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 1\right)} - \sqrt{2} + 1\right) - 4 \, {\left(x^{2} + \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{8} \, \sqrt{{\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4} {\left({\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left({\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} - 1\right) - 4 \, {\left(x^{2} + \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{24} \, \sqrt{-9 \, {\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 18 \, {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36} {\left({\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left({\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} + 1\right) + {\left(2 \, \sqrt{2} {\left(x^{2} + 1\right)} - {\left(x^{2} + 1\right)} \sqrt{2 \, \sqrt{2} + 4}\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \log\left(9 \, \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 2 \, \sqrt{2} - 2\right)} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 18 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36\right) - {\left(2 \, \sqrt{2} {\left(x^{2} + 1\right)} - {\left(x^{2} + 1\right)} \sqrt{2 \, \sqrt{2} + 4}\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \log\left(-9 \, \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 2 \, \sqrt{2} - 2\right)} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 18 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36\right) + {\left(2 \, \sqrt{2} {\left(x^{2} + 1\right)} + {\left(x^{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \log\left(9 \, {\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 18 \, {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36\right) - {\left(2 \, \sqrt{2} {\left(x^{2} + 1\right)} + {\left(x^{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \log\left(-9 \, {\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 18 \, {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36\right) - 32 \, {\left(x^{2} - \sqrt{x^{2} + 1} x + 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{32 \, {\left(x^{2} + 1\right)}}"," ",0,"1/32*(4*(x^2 - sqrt(2)*(x^2 + 1) + 1)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4)*arctan(1/8*sqrt(sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 2*sqrt(2) - 2)*(2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 2*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 4*sqrt(x + sqrt(x^2 + 1)) + 4)*(sqrt(2*sqrt(2) + 4)*(2*sqrt(2) - 3) + 2*sqrt(2) - 2)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4) - 1/4*(sqrt(2*sqrt(2) + 4)*(2*sqrt(2) - 3) + 2*sqrt(2) - 2)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(2*sqrt(2) + 4)*(sqrt(2) - 1) + sqrt(2) - 1) + 4*(x^2 - sqrt(2)*(x^2 + 1) + 1)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4)*arctan(1/24*sqrt(-9*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 2*sqrt(2) - 2)*(2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 18*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 36*sqrt(x + sqrt(x^2 + 1)) + 36)*(sqrt(2*sqrt(2) + 4)*(2*sqrt(2) - 3) + 2*sqrt(2) - 2)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4) - 1/4*(sqrt(2*sqrt(2) + 4)*(2*sqrt(2) - 3) + 2*sqrt(2) - 2)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(2*sqrt(2) + 4)*(sqrt(2) - 1) - sqrt(2) + 1) - 4*(x^2 + sqrt(2)*(x^2 + 1) + 1)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4)*arctan(1/8*sqrt(((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(x + sqrt(x^2 + 1)) + 4)*((2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4) - 1/4*((2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - (sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - sqrt(2) - 1) - 4*(x^2 + sqrt(2)*(x^2 + 1) + 1)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4)*arctan(1/24*sqrt(-9*((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 18*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 36*sqrt(x + sqrt(x^2 + 1)) + 36)*((2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4) - 1/4*((2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + (sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) + sqrt(2) + 1) + (2*sqrt(2)*(x^2 + 1) - (x^2 + 1)*sqrt(2*sqrt(2) + 4))*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(1/4)*log(9*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 2*sqrt(2) - 2)*(2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 18*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 36*sqrt(x + sqrt(x^2 + 1)) + 36) - (2*sqrt(2)*(x^2 + 1) - (x^2 + 1)*sqrt(2*sqrt(2) + 4))*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(1/4)*log(-9*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 2*sqrt(2) - 2)*(2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 18*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 36*sqrt(x + sqrt(x^2 + 1)) + 36) + (2*sqrt(2)*(x^2 + 1) + (x^2 + 1)*sqrt(-2*sqrt(2) + 4))*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*log(9*((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 18*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 36*sqrt(x + sqrt(x^2 + 1)) + 36) - (2*sqrt(2)*(x^2 + 1) + (x^2 + 1)*sqrt(-2*sqrt(2) + 4))*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*log(-9*((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 18*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 36*sqrt(x + sqrt(x^2 + 1)) + 36) - 32*(x^2 - sqrt(x^2 + 1)*x + 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 + 1)","B",0
1830,1,1964,0,0.566260," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1)^(3/2),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{8} \, \sqrt{\sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 2 \, \sqrt{2} - 2\right)} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(2 \, \sqrt{2} - 3\right)} + 2 \, \sqrt{2} - 2\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(2 \, \sqrt{2} - 3\right)} + 2 \, \sqrt{2} - 2\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 1\right)} + \sqrt{2} - 1\right) + 4 \, {\left(x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{24} \, \sqrt{-9 \, \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 2 \, \sqrt{2} - 2\right)} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 18 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(2 \, \sqrt{2} - 3\right)} + 2 \, \sqrt{2} - 2\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(2 \, \sqrt{2} - 3\right)} + 2 \, \sqrt{2} - 2\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 1\right)} - \sqrt{2} + 1\right) - 4 \, {\left(x^{2} + \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{8} \, \sqrt{{\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4} {\left({\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left({\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} - 1\right) - 4 \, {\left(x^{2} + \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{24} \, \sqrt{-9 \, {\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 18 \, {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36} {\left({\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left({\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} + 1\right) + {\left(2 \, \sqrt{2} {\left(x^{2} + 1\right)} - {\left(x^{2} + 1\right)} \sqrt{2 \, \sqrt{2} + 4}\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \log\left(9 \, \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 2 \, \sqrt{2} - 2\right)} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 18 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36\right) - {\left(2 \, \sqrt{2} {\left(x^{2} + 1\right)} - {\left(x^{2} + 1\right)} \sqrt{2 \, \sqrt{2} + 4}\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \log\left(-9 \, \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 2 \, \sqrt{2} - 2\right)} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 18 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36\right) + {\left(2 \, \sqrt{2} {\left(x^{2} + 1\right)} + {\left(x^{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \log\left(9 \, {\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 18 \, {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36\right) - {\left(2 \, \sqrt{2} {\left(x^{2} + 1\right)} + {\left(x^{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \log\left(-9 \, {\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 18 \, {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36\right) - 32 \, {\left(x^{2} - \sqrt{x^{2} + 1} x + 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{32 \, {\left(x^{2} + 1\right)}}"," ",0,"1/32*(4*(x^2 - sqrt(2)*(x^2 + 1) + 1)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4)*arctan(1/8*sqrt(sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 2*sqrt(2) - 2)*(2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 2*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 4*sqrt(x + sqrt(x^2 + 1)) + 4)*(sqrt(2*sqrt(2) + 4)*(2*sqrt(2) - 3) + 2*sqrt(2) - 2)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4) - 1/4*(sqrt(2*sqrt(2) + 4)*(2*sqrt(2) - 3) + 2*sqrt(2) - 2)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(2*sqrt(2) + 4)*(sqrt(2) - 1) + sqrt(2) - 1) + 4*(x^2 - sqrt(2)*(x^2 + 1) + 1)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4)*arctan(1/24*sqrt(-9*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 2*sqrt(2) - 2)*(2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 18*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 36*sqrt(x + sqrt(x^2 + 1)) + 36)*(sqrt(2*sqrt(2) + 4)*(2*sqrt(2) - 3) + 2*sqrt(2) - 2)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4) - 1/4*(sqrt(2*sqrt(2) + 4)*(2*sqrt(2) - 3) + 2*sqrt(2) - 2)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(2*sqrt(2) + 4)*(sqrt(2) - 1) - sqrt(2) + 1) - 4*(x^2 + sqrt(2)*(x^2 + 1) + 1)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4)*arctan(1/8*sqrt(((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(x + sqrt(x^2 + 1)) + 4)*((2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4) - 1/4*((2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - (sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - sqrt(2) - 1) - 4*(x^2 + sqrt(2)*(x^2 + 1) + 1)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4)*arctan(1/24*sqrt(-9*((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 18*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 36*sqrt(x + sqrt(x^2 + 1)) + 36)*((2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4) - 1/4*((2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + (sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) + sqrt(2) + 1) + (2*sqrt(2)*(x^2 + 1) - (x^2 + 1)*sqrt(2*sqrt(2) + 4))*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(1/4)*log(9*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 2*sqrt(2) - 2)*(2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 18*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 36*sqrt(x + sqrt(x^2 + 1)) + 36) - (2*sqrt(2)*(x^2 + 1) - (x^2 + 1)*sqrt(2*sqrt(2) + 4))*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(1/4)*log(-9*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 2*sqrt(2) - 2)*(2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 18*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 36*sqrt(x + sqrt(x^2 + 1)) + 36) + (2*sqrt(2)*(x^2 + 1) + (x^2 + 1)*sqrt(-2*sqrt(2) + 4))*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*log(9*((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 18*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 36*sqrt(x + sqrt(x^2 + 1)) + 36) - (2*sqrt(2)*(x^2 + 1) + (x^2 + 1)*sqrt(-2*sqrt(2) + 4))*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*log(-9*((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 18*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 36*sqrt(x + sqrt(x^2 + 1)) + 36) - 32*(x^2 - sqrt(x^2 + 1)*x + 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 + 1)","B",0
1831,1,1964,0,0.580227," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1)^(3/2),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{8} \, \sqrt{\sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 2 \, \sqrt{2} - 2\right)} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(2 \, \sqrt{2} - 3\right)} + 2 \, \sqrt{2} - 2\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(2 \, \sqrt{2} - 3\right)} + 2 \, \sqrt{2} - 2\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 1\right)} + \sqrt{2} - 1\right) + 4 \, {\left(x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{24} \, \sqrt{-9 \, \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 2 \, \sqrt{2} - 2\right)} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 18 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(2 \, \sqrt{2} - 3\right)} + 2 \, \sqrt{2} - 2\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(2 \, \sqrt{2} - 3\right)} + 2 \, \sqrt{2} - 2\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 1\right)} - \sqrt{2} + 1\right) - 4 \, {\left(x^{2} + \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{8} \, \sqrt{{\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4} {\left({\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left({\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} - 1\right) - 4 \, {\left(x^{2} + \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{24} \, \sqrt{-9 \, {\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 18 \, {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36} {\left({\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left({\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} + 1\right) + {\left(2 \, \sqrt{2} {\left(x^{2} + 1\right)} - {\left(x^{2} + 1\right)} \sqrt{2 \, \sqrt{2} + 4}\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \log\left(9 \, \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 2 \, \sqrt{2} - 2\right)} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 18 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36\right) - {\left(2 \, \sqrt{2} {\left(x^{2} + 1\right)} - {\left(x^{2} + 1\right)} \sqrt{2 \, \sqrt{2} + 4}\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \log\left(-9 \, \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 2 \, \sqrt{2} - 2\right)} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 18 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36\right) + {\left(2 \, \sqrt{2} {\left(x^{2} + 1\right)} + {\left(x^{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \log\left(9 \, {\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 18 \, {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36\right) - {\left(2 \, \sqrt{2} {\left(x^{2} + 1\right)} + {\left(x^{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \log\left(-9 \, {\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 18 \, {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36\right) - 32 \, {\left(x^{2} - \sqrt{x^{2} + 1} x + 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{32 \, {\left(x^{2} + 1\right)}}"," ",0,"1/32*(4*(x^2 - sqrt(2)*(x^2 + 1) + 1)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4)*arctan(1/8*sqrt(sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 2*sqrt(2) - 2)*(2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 2*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 4*sqrt(x + sqrt(x^2 + 1)) + 4)*(sqrt(2*sqrt(2) + 4)*(2*sqrt(2) - 3) + 2*sqrt(2) - 2)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4) - 1/4*(sqrt(2*sqrt(2) + 4)*(2*sqrt(2) - 3) + 2*sqrt(2) - 2)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(2*sqrt(2) + 4)*(sqrt(2) - 1) + sqrt(2) - 1) + 4*(x^2 - sqrt(2)*(x^2 + 1) + 1)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4)*arctan(1/24*sqrt(-9*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 2*sqrt(2) - 2)*(2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 18*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 36*sqrt(x + sqrt(x^2 + 1)) + 36)*(sqrt(2*sqrt(2) + 4)*(2*sqrt(2) - 3) + 2*sqrt(2) - 2)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4) - 1/4*(sqrt(2*sqrt(2) + 4)*(2*sqrt(2) - 3) + 2*sqrt(2) - 2)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(2*sqrt(2) + 4)*(sqrt(2) - 1) - sqrt(2) + 1) - 4*(x^2 + sqrt(2)*(x^2 + 1) + 1)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4)*arctan(1/8*sqrt(((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(x + sqrt(x^2 + 1)) + 4)*((2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4) - 1/4*((2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - (sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - sqrt(2) - 1) - 4*(x^2 + sqrt(2)*(x^2 + 1) + 1)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4)*arctan(1/24*sqrt(-9*((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 18*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 36*sqrt(x + sqrt(x^2 + 1)) + 36)*((2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4) - 1/4*((2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + (sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) + sqrt(2) + 1) + (2*sqrt(2)*(x^2 + 1) - (x^2 + 1)*sqrt(2*sqrt(2) + 4))*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(1/4)*log(9*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 2*sqrt(2) - 2)*(2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 18*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 36*sqrt(x + sqrt(x^2 + 1)) + 36) - (2*sqrt(2)*(x^2 + 1) - (x^2 + 1)*sqrt(2*sqrt(2) + 4))*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(1/4)*log(-9*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 2*sqrt(2) - 2)*(2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 18*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 36*sqrt(x + sqrt(x^2 + 1)) + 36) + (2*sqrt(2)*(x^2 + 1) + (x^2 + 1)*sqrt(-2*sqrt(2) + 4))*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*log(9*((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 18*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 36*sqrt(x + sqrt(x^2 + 1)) + 36) - (2*sqrt(2)*(x^2 + 1) + (x^2 + 1)*sqrt(-2*sqrt(2) + 4))*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*log(-9*((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 18*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 36*sqrt(x + sqrt(x^2 + 1)) + 36) - 32*(x^2 - sqrt(x^2 + 1)*x + 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 + 1)","B",0
1832,1,113,0,0.451638," ","integrate(1/(-1+x)/(x^2-2*x-3)^(1/3),x, algorithm=""fricas"")","\frac{1}{4} \cdot 4^{\frac{1}{6}} \sqrt{3} \left(-1\right)^{\frac{1}{3}} \arctan\left(\frac{1}{6} \cdot 4^{\frac{1}{6}} \sqrt{3} {\left(2 \, \left(-1\right)^{\frac{1}{3}} {\left(x^{2} - 2 \, x - 3\right)}^{\frac{1}{3}} + 4^{\frac{1}{3}}\right)}\right) - \frac{1}{16} \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(-4^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{2} - 2 \, x - 3\right)}^{\frac{1}{3}} - 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} + {\left(x^{2} - 2 \, x - 3\right)}^{\frac{2}{3}}\right) + \frac{1}{8} \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(4^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} + {\left(x^{2} - 2 \, x - 3\right)}^{\frac{1}{3}}\right)"," ",0,"1/4*4^(1/6)*sqrt(3)*(-1)^(1/3)*arctan(1/6*4^(1/6)*sqrt(3)*(2*(-1)^(1/3)*(x^2 - 2*x - 3)^(1/3) + 4^(1/3))) - 1/16*4^(2/3)*(-1)^(1/3)*log(-4^(1/3)*(-1)^(2/3)*(x^2 - 2*x - 3)^(1/3) - 4^(2/3)*(-1)^(1/3) + (x^2 - 2*x - 3)^(2/3)) + 1/8*4^(2/3)*(-1)^(1/3)*log(4^(1/3)*(-1)^(2/3) + (x^2 - 2*x - 3)^(1/3))","A",0
1833,1,116,0,0.445623," ","integrate(1/(-1+x)/(x^2-2*x-1)^(1/3),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{3} 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{1}{6}} {\left(2 \, \sqrt{2} \left(-1\right)^{\frac{1}{3}} {\left(x^{2} - 2 \, x - 1\right)}^{\frac{1}{3}} + 2^{\frac{5}{6}}\right)}\right) - \frac{1}{8} \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(-2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{2} - 2 \, x - 1\right)}^{\frac{1}{3}} - 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} + {\left(x^{2} - 2 \, x - 1\right)}^{\frac{2}{3}}\right) + \frac{1}{4} \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} + {\left(x^{2} - 2 \, x - 1\right)}^{\frac{1}{3}}\right)"," ",0,"1/4*sqrt(3)*2^(2/3)*(-1)^(1/3)*arctan(1/6*sqrt(3)*2^(1/6)*(2*sqrt(2)*(-1)^(1/3)*(x^2 - 2*x - 1)^(1/3) + 2^(5/6))) - 1/8*2^(2/3)*(-1)^(1/3)*log(-2^(1/3)*(-1)^(2/3)*(x^2 - 2*x - 1)^(1/3) - 2^(2/3)*(-1)^(1/3) + (x^2 - 2*x - 1)^(2/3)) + 1/4*2^(2/3)*(-1)^(1/3)*log(2^(1/3)*(-1)^(2/3) + (x^2 - 2*x - 1)^(1/3))","A",0
1834,1,116,0,0.449574," ","integrate(1/(1+x)/(x^2+2*x-1)^(1/3),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{3} 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{1}{6}} {\left(2 \, \sqrt{2} \left(-1\right)^{\frac{1}{3}} {\left(x^{2} + 2 \, x - 1\right)}^{\frac{1}{3}} + 2^{\frac{5}{6}}\right)}\right) - \frac{1}{8} \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(-2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{2} + 2 \, x - 1\right)}^{\frac{1}{3}} - 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} + {\left(x^{2} + 2 \, x - 1\right)}^{\frac{2}{3}}\right) + \frac{1}{4} \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} + {\left(x^{2} + 2 \, x - 1\right)}^{\frac{1}{3}}\right)"," ",0,"1/4*sqrt(3)*2^(2/3)*(-1)^(1/3)*arctan(1/6*sqrt(3)*2^(1/6)*(2*sqrt(2)*(-1)^(1/3)*(x^2 + 2*x - 1)^(1/3) + 2^(5/6))) - 1/8*2^(2/3)*(-1)^(1/3)*log(-2^(1/3)*(-1)^(2/3)*(x^2 + 2*x - 1)^(1/3) - 2^(2/3)*(-1)^(1/3) + (x^2 + 2*x - 1)^(2/3)) + 1/4*2^(2/3)*(-1)^(1/3)*log(2^(1/3)*(-1)^(2/3) + (x^2 + 2*x - 1)^(1/3))","A",0
1835,-1,0,0,0.000000," ","integrate((-2*a*b*x^2+(a+b)*x^3)/(-a+x)/(-b+x)/(x^2*(-a+x)*(-b+x))^(1/4)/(-a*b*d+(a+b)*d*x+(1-d)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1836,-1,0,0,0.000000," ","integrate((a^2-2*a*x+x^2)*(a*b^2-2*(2*a-b)*b*x+(3*a-2*b)*x^2)/(x*(-a+x)*(-b+x)^2)^(3/4)/(a^3*d+(-3*a^2*d+b^2)*x+(3*a*d-2*b)*x^2+(1-d)*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1837,1,212,0,1.452632," ","integrate((-1+k^(3/2)*x^3)/((-x^2+1)*(-k^2*x^2+1))^(1/2)/(1+k^(3/2)*x^3),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{k^{2} + k + 1} {\left(k - 1\right)} \arctan\left(\frac{\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1} \sqrt{k^{2} + k + 1} {\left({\left(k^{2} + 2 \, k + 1\right)} x + {\left(k x^{2} + 1\right)} \sqrt{k}\right)}}{k^{3} x^{4} - {\left(k^{4} + 4 \, k^{3} + 4 \, k^{2} + 4 \, k + 1\right)} x^{2} + k}\right) - {\left(k^{2} + k + 1\right)} \arctan\left(-\frac{\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1} {\left({\left(k^{3} + k^{2} - k - 1\right)} x - 2 \, {\left({\left(k^{2} - k\right)} x^{2} + k - 1\right)} \sqrt{k}\right)}}{4 \, k^{3} x^{4} - {\left(k^{4} + 4 \, k^{3} - 2 \, k^{2} + 4 \, k + 1\right)} x^{2} + 4 \, k}\right)}{3 \, {\left(k^{3} - 1\right)}}"," ",0,"-1/3*(2*sqrt(k^2 + k + 1)*(k - 1)*arctan(sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)*sqrt(k^2 + k + 1)*((k^2 + 2*k + 1)*x + (k*x^2 + 1)*sqrt(k))/(k^3*x^4 - (k^4 + 4*k^3 + 4*k^2 + 4*k + 1)*x^2 + k)) - (k^2 + k + 1)*arctan(-sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)*((k^3 + k^2 - k - 1)*x - 2*((k^2 - k)*x^2 + k - 1)*sqrt(k))/(4*k^3*x^4 - (k^4 + 4*k^3 - 2*k^2 + 4*k + 1)*x^2 + 4*k)))/(k^3 - 1)","A",0
1838,1,2484,0,1.498914," ","integrate((x^3-x^2-x)^(1/2)/(x^4-1),x, algorithm=""fricas"")","-\frac{1}{40} \cdot 5^{\frac{3}{4}} \sqrt{2} \sqrt{\sqrt{5} + 5} \arctan\left(-\frac{20 \, x^{11} + 260 \, x^{10} - 1340 \, x^{9} - 880 \, x^{8} + 5680 \, x^{7} + 280 \, x^{6} - 5680 \, x^{5} - 880 \, x^{4} + 1340 \, x^{3} + 260 \, x^{2} + \sqrt{x^{3} - x^{2} - x} {\left(5^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{10} - 4 \, x^{9} - 17 \, x^{8} + 56 \, x^{7} + 78 \, x^{6} - 136 \, x^{5} - 78 \, x^{4} + 56 \, x^{3} + 17 \, x^{2} - 4 \, x - 1\right)} - \sqrt{2} {\left(x^{10} + 8 \, x^{9} - 57 \, x^{8} - 24 \, x^{7} + 294 \, x^{6} + 64 \, x^{5} - 294 \, x^{4} - 24 \, x^{3} + 57 \, x^{2} + 8 \, x - 1\right)}\right)} + 4 \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(3 \, x^{9} + 7 \, x^{8} + 14 \, x^{7} - 81 \, x^{6} - 10 \, x^{5} + 81 \, x^{4} + 14 \, x^{3} - 7 \, x^{2} + 3 \, x\right)} - 5 \, \sqrt{2} {\left(x^{9} + 9 \, x^{8} - 18 \, x^{7} - 15 \, x^{6} + 26 \, x^{5} + 15 \, x^{4} - 18 \, x^{3} - 9 \, x^{2} + x\right)}\right)}\right)} \sqrt{\sqrt{5} + 5} - \sqrt{\frac{1}{5}} {\left(240 \, x^{10} + 160 \, x^{9} - 1680 \, x^{8} - 480 \, x^{7} + 3200 \, x^{6} + 480 \, x^{5} - 1680 \, x^{4} - 160 \, x^{3} + 240 \, x^{2} + \sqrt{x^{3} - x^{2} - x} {\left(5^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{10} - 6 \, x^{9} - 25 \, x^{8} + 120 \, x^{7} - 58 \, x^{6} - 196 \, x^{5} + 58 \, x^{4} + 120 \, x^{3} + 25 \, x^{2} - 6 \, x - 1\right)} - \sqrt{2} {\left(x^{10} - 2 \, x^{9} - 17 \, x^{8} + 216 \, x^{7} - 306 \, x^{6} - 396 \, x^{5} + 306 \, x^{4} + 216 \, x^{3} + 17 \, x^{2} - 2 \, x - 1\right)}\right)} + 4 \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(3 \, x^{9} - 3 \, x^{8} - 56 \, x^{7} + 69 \, x^{6} + 90 \, x^{5} - 69 \, x^{4} - 56 \, x^{3} + 3 \, x^{2} + 3 \, x\right)} - 5 \, \sqrt{2} {\left(x^{9} + 3 \, x^{8} - 28 \, x^{7} + 11 \, x^{6} + 54 \, x^{5} - 11 \, x^{4} - 28 \, x^{3} - 3 \, x^{2} + x\right)}\right)}\right)} \sqrt{\sqrt{5} + 5} + 4 \, \sqrt{5} {\left(5 \, x^{11} - 25 \, x^{10} - 105 \, x^{9} + 440 \, x^{8} + 50 \, x^{7} - 830 \, x^{6} - 50 \, x^{5} + 440 \, x^{4} + 105 \, x^{3} - 25 \, x^{2} - \sqrt{5} {\left(x^{11} + 3 \, x^{10} - 37 \, x^{9} + 96 \, x^{8} - 6 \, x^{7} - 166 \, x^{6} + 6 \, x^{5} + 96 \, x^{4} + 37 \, x^{3} + 3 \, x^{2} - x\right)} - 5 \, x\right)} - 80 \, \sqrt{5} {\left(x^{10} + 6 \, x^{9} - 23 \, x^{8} - 2 \, x^{7} + 40 \, x^{6} + 2 \, x^{5} - 23 \, x^{4} - 6 \, x^{3} + x^{2}\right)}\right)} \sqrt{\frac{5 \, x^{4} - 20 \, x^{3} + 5^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(\sqrt{5} \sqrt{2} {\left(x^{2} - 6 \, x - 1\right)} - 5 \, \sqrt{2} {\left(x^{2} - 2 \, x - 1\right)}\right)} \sqrt{\sqrt{5} + 5} + 30 \, x^{2} + 20 \, \sqrt{5} {\left(x^{3} - x^{2} - x\right)} + 20 \, x + 5}{x^{4} + 2 \, x^{2} + 1}} + 4 \, \sqrt{5} {\left(5 \, x^{11} - 15 \, x^{10} - 15 \, x^{9} + 20 \, x^{8} - 20 \, x^{7} + 70 \, x^{6} + 20 \, x^{5} + 20 \, x^{4} + 15 \, x^{3} - 15 \, x^{2} - \sqrt{5} {\left(x^{11} + 13 \, x^{10} - 67 \, x^{9} - 44 \, x^{8} + 284 \, x^{7} + 14 \, x^{6} - 284 \, x^{5} - 44 \, x^{4} + 67 \, x^{3} + 13 \, x^{2} - x\right)} - 5 \, x\right)} - 20 \, \sqrt{5} {\left(x^{11} - 3 \, x^{10} - 3 \, x^{9} + 4 \, x^{8} - 4 \, x^{7} + 14 \, x^{6} + 4 \, x^{5} + 4 \, x^{4} + 3 \, x^{3} - 3 \, x^{2} - x\right)} - 20 \, x}{40 \, {\left(x^{11} - 9 \, x^{10} - 45 \, x^{9} + 180 \, x^{8} + 18 \, x^{7} - 326 \, x^{6} - 18 \, x^{5} + 180 \, x^{4} + 45 \, x^{3} - 9 \, x^{2} - x\right)}}\right) - \frac{1}{40} \cdot 5^{\frac{3}{4}} \sqrt{2} \sqrt{\sqrt{5} + 5} \arctan\left(\frac{20 \, x^{11} + 260 \, x^{10} - 1340 \, x^{9} - 880 \, x^{8} + 5680 \, x^{7} + 280 \, x^{6} - 5680 \, x^{5} - 880 \, x^{4} + 1340 \, x^{3} + 260 \, x^{2} - \sqrt{x^{3} - x^{2} - x} {\left(5^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{10} - 4 \, x^{9} - 17 \, x^{8} + 56 \, x^{7} + 78 \, x^{6} - 136 \, x^{5} - 78 \, x^{4} + 56 \, x^{3} + 17 \, x^{2} - 4 \, x - 1\right)} - \sqrt{2} {\left(x^{10} + 8 \, x^{9} - 57 \, x^{8} - 24 \, x^{7} + 294 \, x^{6} + 64 \, x^{5} - 294 \, x^{4} - 24 \, x^{3} + 57 \, x^{2} + 8 \, x - 1\right)}\right)} + 4 \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(3 \, x^{9} + 7 \, x^{8} + 14 \, x^{7} - 81 \, x^{6} - 10 \, x^{5} + 81 \, x^{4} + 14 \, x^{3} - 7 \, x^{2} + 3 \, x\right)} - 5 \, \sqrt{2} {\left(x^{9} + 9 \, x^{8} - 18 \, x^{7} - 15 \, x^{6} + 26 \, x^{5} + 15 \, x^{4} - 18 \, x^{3} - 9 \, x^{2} + x\right)}\right)}\right)} \sqrt{\sqrt{5} + 5} - \sqrt{\frac{1}{5}} {\left(240 \, x^{10} + 160 \, x^{9} - 1680 \, x^{8} - 480 \, x^{7} + 3200 \, x^{6} + 480 \, x^{5} - 1680 \, x^{4} - 160 \, x^{3} + 240 \, x^{2} - \sqrt{x^{3} - x^{2} - x} {\left(5^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{10} - 6 \, x^{9} - 25 \, x^{8} + 120 \, x^{7} - 58 \, x^{6} - 196 \, x^{5} + 58 \, x^{4} + 120 \, x^{3} + 25 \, x^{2} - 6 \, x - 1\right)} - \sqrt{2} {\left(x^{10} - 2 \, x^{9} - 17 \, x^{8} + 216 \, x^{7} - 306 \, x^{6} - 396 \, x^{5} + 306 \, x^{4} + 216 \, x^{3} + 17 \, x^{2} - 2 \, x - 1\right)}\right)} + 4 \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(3 \, x^{9} - 3 \, x^{8} - 56 \, x^{7} + 69 \, x^{6} + 90 \, x^{5} - 69 \, x^{4} - 56 \, x^{3} + 3 \, x^{2} + 3 \, x\right)} - 5 \, \sqrt{2} {\left(x^{9} + 3 \, x^{8} - 28 \, x^{7} + 11 \, x^{6} + 54 \, x^{5} - 11 \, x^{4} - 28 \, x^{3} - 3 \, x^{2} + x\right)}\right)}\right)} \sqrt{\sqrt{5} + 5} + 4 \, \sqrt{5} {\left(5 \, x^{11} - 25 \, x^{10} - 105 \, x^{9} + 440 \, x^{8} + 50 \, x^{7} - 830 \, x^{6} - 50 \, x^{5} + 440 \, x^{4} + 105 \, x^{3} - 25 \, x^{2} - \sqrt{5} {\left(x^{11} + 3 \, x^{10} - 37 \, x^{9} + 96 \, x^{8} - 6 \, x^{7} - 166 \, x^{6} + 6 \, x^{5} + 96 \, x^{4} + 37 \, x^{3} + 3 \, x^{2} - x\right)} - 5 \, x\right)} - 80 \, \sqrt{5} {\left(x^{10} + 6 \, x^{9} - 23 \, x^{8} - 2 \, x^{7} + 40 \, x^{6} + 2 \, x^{5} - 23 \, x^{4} - 6 \, x^{3} + x^{2}\right)}\right)} \sqrt{\frac{5 \, x^{4} - 20 \, x^{3} - 5^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(\sqrt{5} \sqrt{2} {\left(x^{2} - 6 \, x - 1\right)} - 5 \, \sqrt{2} {\left(x^{2} - 2 \, x - 1\right)}\right)} \sqrt{\sqrt{5} + 5} + 30 \, x^{2} + 20 \, \sqrt{5} {\left(x^{3} - x^{2} - x\right)} + 20 \, x + 5}{x^{4} + 2 \, x^{2} + 1}} + 4 \, \sqrt{5} {\left(5 \, x^{11} - 15 \, x^{10} - 15 \, x^{9} + 20 \, x^{8} - 20 \, x^{7} + 70 \, x^{6} + 20 \, x^{5} + 20 \, x^{4} + 15 \, x^{3} - 15 \, x^{2} - \sqrt{5} {\left(x^{11} + 13 \, x^{10} - 67 \, x^{9} - 44 \, x^{8} + 284 \, x^{7} + 14 \, x^{6} - 284 \, x^{5} - 44 \, x^{4} + 67 \, x^{3} + 13 \, x^{2} - x\right)} - 5 \, x\right)} - 20 \, \sqrt{5} {\left(x^{11} - 3 \, x^{10} - 3 \, x^{9} + 4 \, x^{8} - 4 \, x^{7} + 14 \, x^{6} + 4 \, x^{5} + 4 \, x^{4} + 3 \, x^{3} - 3 \, x^{2} - x\right)} - 20 \, x}{40 \, {\left(x^{11} - 9 \, x^{10} - 45 \, x^{9} + 180 \, x^{8} + 18 \, x^{7} - 326 \, x^{6} - 18 \, x^{5} + 180 \, x^{4} + 45 \, x^{3} - 9 \, x^{2} - x\right)}}\right) + \frac{1}{320} \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} - 5 \, \sqrt{2}\right)} \sqrt{\sqrt{5} + 5} \log\left(\frac{5 \, x^{4} - 20 \, x^{3} + 5^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(\sqrt{5} \sqrt{2} {\left(x^{2} - 6 \, x - 1\right)} - 5 \, \sqrt{2} {\left(x^{2} - 2 \, x - 1\right)}\right)} \sqrt{\sqrt{5} + 5} + 30 \, x^{2} + 20 \, \sqrt{5} {\left(x^{3} - x^{2} - x\right)} + 20 \, x + 5}{5 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}}\right) - \frac{1}{320} \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} - 5 \, \sqrt{2}\right)} \sqrt{\sqrt{5} + 5} \log\left(\frac{5 \, x^{4} - 20 \, x^{3} - 5^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(\sqrt{5} \sqrt{2} {\left(x^{2} - 6 \, x - 1\right)} - 5 \, \sqrt{2} {\left(x^{2} - 2 \, x - 1\right)}\right)} \sqrt{\sqrt{5} + 5} + 30 \, x^{2} + 20 \, \sqrt{5} {\left(x^{3} - x^{2} - x\right)} + 20 \, x + 5}{5 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}}\right) - \frac{1}{4} \, \arctan\left(\frac{x^{2} - 2 \, x - 1}{2 \, \sqrt{x^{3} - x^{2} - x}}\right)"," ",0,"-1/40*5^(3/4)*sqrt(2)*sqrt(sqrt(5) + 5)*arctan(-1/40*(20*x^11 + 260*x^10 - 1340*x^9 - 880*x^8 + 5680*x^7 + 280*x^6 - 5680*x^5 - 880*x^4 + 1340*x^3 + 260*x^2 + sqrt(x^3 - x^2 - x)*(5^(3/4)*(sqrt(5)*sqrt(2)*(x^10 - 4*x^9 - 17*x^8 + 56*x^7 + 78*x^6 - 136*x^5 - 78*x^4 + 56*x^3 + 17*x^2 - 4*x - 1) - sqrt(2)*(x^10 + 8*x^9 - 57*x^8 - 24*x^7 + 294*x^6 + 64*x^5 - 294*x^4 - 24*x^3 + 57*x^2 + 8*x - 1)) + 4*5^(1/4)*(sqrt(5)*sqrt(2)*(3*x^9 + 7*x^8 + 14*x^7 - 81*x^6 - 10*x^5 + 81*x^4 + 14*x^3 - 7*x^2 + 3*x) - 5*sqrt(2)*(x^9 + 9*x^8 - 18*x^7 - 15*x^6 + 26*x^5 + 15*x^4 - 18*x^3 - 9*x^2 + x)))*sqrt(sqrt(5) + 5) - sqrt(1/5)*(240*x^10 + 160*x^9 - 1680*x^8 - 480*x^7 + 3200*x^6 + 480*x^5 - 1680*x^4 - 160*x^3 + 240*x^2 + sqrt(x^3 - x^2 - x)*(5^(3/4)*(sqrt(5)*sqrt(2)*(x^10 - 6*x^9 - 25*x^8 + 120*x^7 - 58*x^6 - 196*x^5 + 58*x^4 + 120*x^3 + 25*x^2 - 6*x - 1) - sqrt(2)*(x^10 - 2*x^9 - 17*x^8 + 216*x^7 - 306*x^6 - 396*x^5 + 306*x^4 + 216*x^3 + 17*x^2 - 2*x - 1)) + 4*5^(1/4)*(sqrt(5)*sqrt(2)*(3*x^9 - 3*x^8 - 56*x^7 + 69*x^6 + 90*x^5 - 69*x^4 - 56*x^3 + 3*x^2 + 3*x) - 5*sqrt(2)*(x^9 + 3*x^8 - 28*x^7 + 11*x^6 + 54*x^5 - 11*x^4 - 28*x^3 - 3*x^2 + x)))*sqrt(sqrt(5) + 5) + 4*sqrt(5)*(5*x^11 - 25*x^10 - 105*x^9 + 440*x^8 + 50*x^7 - 830*x^6 - 50*x^5 + 440*x^4 + 105*x^3 - 25*x^2 - sqrt(5)*(x^11 + 3*x^10 - 37*x^9 + 96*x^8 - 6*x^7 - 166*x^6 + 6*x^5 + 96*x^4 + 37*x^3 + 3*x^2 - x) - 5*x) - 80*sqrt(5)*(x^10 + 6*x^9 - 23*x^8 - 2*x^7 + 40*x^6 + 2*x^5 - 23*x^4 - 6*x^3 + x^2))*sqrt((5*x^4 - 20*x^3 + 5^(1/4)*sqrt(x^3 - x^2 - x)*(sqrt(5)*sqrt(2)*(x^2 - 6*x - 1) - 5*sqrt(2)*(x^2 - 2*x - 1))*sqrt(sqrt(5) + 5) + 30*x^2 + 20*sqrt(5)*(x^3 - x^2 - x) + 20*x + 5)/(x^4 + 2*x^2 + 1)) + 4*sqrt(5)*(5*x^11 - 15*x^10 - 15*x^9 + 20*x^8 - 20*x^7 + 70*x^6 + 20*x^5 + 20*x^4 + 15*x^3 - 15*x^2 - sqrt(5)*(x^11 + 13*x^10 - 67*x^9 - 44*x^8 + 284*x^7 + 14*x^6 - 284*x^5 - 44*x^4 + 67*x^3 + 13*x^2 - x) - 5*x) - 20*sqrt(5)*(x^11 - 3*x^10 - 3*x^9 + 4*x^8 - 4*x^7 + 14*x^6 + 4*x^5 + 4*x^4 + 3*x^3 - 3*x^2 - x) - 20*x)/(x^11 - 9*x^10 - 45*x^9 + 180*x^8 + 18*x^7 - 326*x^6 - 18*x^5 + 180*x^4 + 45*x^3 - 9*x^2 - x)) - 1/40*5^(3/4)*sqrt(2)*sqrt(sqrt(5) + 5)*arctan(1/40*(20*x^11 + 260*x^10 - 1340*x^9 - 880*x^8 + 5680*x^7 + 280*x^6 - 5680*x^5 - 880*x^4 + 1340*x^3 + 260*x^2 - sqrt(x^3 - x^2 - x)*(5^(3/4)*(sqrt(5)*sqrt(2)*(x^10 - 4*x^9 - 17*x^8 + 56*x^7 + 78*x^6 - 136*x^5 - 78*x^4 + 56*x^3 + 17*x^2 - 4*x - 1) - sqrt(2)*(x^10 + 8*x^9 - 57*x^8 - 24*x^7 + 294*x^6 + 64*x^5 - 294*x^4 - 24*x^3 + 57*x^2 + 8*x - 1)) + 4*5^(1/4)*(sqrt(5)*sqrt(2)*(3*x^9 + 7*x^8 + 14*x^7 - 81*x^6 - 10*x^5 + 81*x^4 + 14*x^3 - 7*x^2 + 3*x) - 5*sqrt(2)*(x^9 + 9*x^8 - 18*x^7 - 15*x^6 + 26*x^5 + 15*x^4 - 18*x^3 - 9*x^2 + x)))*sqrt(sqrt(5) + 5) - sqrt(1/5)*(240*x^10 + 160*x^9 - 1680*x^8 - 480*x^7 + 3200*x^6 + 480*x^5 - 1680*x^4 - 160*x^3 + 240*x^2 - sqrt(x^3 - x^2 - x)*(5^(3/4)*(sqrt(5)*sqrt(2)*(x^10 - 6*x^9 - 25*x^8 + 120*x^7 - 58*x^6 - 196*x^5 + 58*x^4 + 120*x^3 + 25*x^2 - 6*x - 1) - sqrt(2)*(x^10 - 2*x^9 - 17*x^8 + 216*x^7 - 306*x^6 - 396*x^5 + 306*x^4 + 216*x^3 + 17*x^2 - 2*x - 1)) + 4*5^(1/4)*(sqrt(5)*sqrt(2)*(3*x^9 - 3*x^8 - 56*x^7 + 69*x^6 + 90*x^5 - 69*x^4 - 56*x^3 + 3*x^2 + 3*x) - 5*sqrt(2)*(x^9 + 3*x^8 - 28*x^7 + 11*x^6 + 54*x^5 - 11*x^4 - 28*x^3 - 3*x^2 + x)))*sqrt(sqrt(5) + 5) + 4*sqrt(5)*(5*x^11 - 25*x^10 - 105*x^9 + 440*x^8 + 50*x^7 - 830*x^6 - 50*x^5 + 440*x^4 + 105*x^3 - 25*x^2 - sqrt(5)*(x^11 + 3*x^10 - 37*x^9 + 96*x^8 - 6*x^7 - 166*x^6 + 6*x^5 + 96*x^4 + 37*x^3 + 3*x^2 - x) - 5*x) - 80*sqrt(5)*(x^10 + 6*x^9 - 23*x^8 - 2*x^7 + 40*x^6 + 2*x^5 - 23*x^4 - 6*x^3 + x^2))*sqrt((5*x^4 - 20*x^3 - 5^(1/4)*sqrt(x^3 - x^2 - x)*(sqrt(5)*sqrt(2)*(x^2 - 6*x - 1) - 5*sqrt(2)*(x^2 - 2*x - 1))*sqrt(sqrt(5) + 5) + 30*x^2 + 20*sqrt(5)*(x^3 - x^2 - x) + 20*x + 5)/(x^4 + 2*x^2 + 1)) + 4*sqrt(5)*(5*x^11 - 15*x^10 - 15*x^9 + 20*x^8 - 20*x^7 + 70*x^6 + 20*x^5 + 20*x^4 + 15*x^3 - 15*x^2 - sqrt(5)*(x^11 + 13*x^10 - 67*x^9 - 44*x^8 + 284*x^7 + 14*x^6 - 284*x^5 - 44*x^4 + 67*x^3 + 13*x^2 - x) - 5*x) - 20*sqrt(5)*(x^11 - 3*x^10 - 3*x^9 + 4*x^8 - 4*x^7 + 14*x^6 + 4*x^5 + 4*x^4 + 3*x^3 - 3*x^2 - x) - 20*x)/(x^11 - 9*x^10 - 45*x^9 + 180*x^8 + 18*x^7 - 326*x^6 - 18*x^5 + 180*x^4 + 45*x^3 - 9*x^2 - x)) + 1/320*5^(1/4)*(sqrt(5)*sqrt(2) - 5*sqrt(2))*sqrt(sqrt(5) + 5)*log(1/5*(5*x^4 - 20*x^3 + 5^(1/4)*sqrt(x^3 - x^2 - x)*(sqrt(5)*sqrt(2)*(x^2 - 6*x - 1) - 5*sqrt(2)*(x^2 - 2*x - 1))*sqrt(sqrt(5) + 5) + 30*x^2 + 20*sqrt(5)*(x^3 - x^2 - x) + 20*x + 5)/(x^4 + 2*x^2 + 1)) - 1/320*5^(1/4)*(sqrt(5)*sqrt(2) - 5*sqrt(2))*sqrt(sqrt(5) + 5)*log(1/5*(5*x^4 - 20*x^3 - 5^(1/4)*sqrt(x^3 - x^2 - x)*(sqrt(5)*sqrt(2)*(x^2 - 6*x - 1) - 5*sqrt(2)*(x^2 - 2*x - 1))*sqrt(sqrt(5) + 5) + 30*x^2 + 20*sqrt(5)*(x^3 - x^2 - x) + 20*x + 5)/(x^4 + 2*x^2 + 1)) - 1/4*arctan(1/2*(x^2 - 2*x - 1)/sqrt(x^3 - x^2 - x))","B",0
1839,1,266,0,4.117874," ","integrate((a*x^3+b)*(x^4+x)^(1/2)/(c*x^3-d),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{x^{4} + x} a c x + {\left(b c + a d\right)} \sqrt{\frac{c + d}{d}} \log\left(-\frac{{\left(c^{2} + 8 \, c d + 8 \, d^{2}\right)} x^{6} + 2 \, {\left(3 \, c d + 4 \, d^{2}\right)} x^{3} + d^{2} - 4 \, {\left({\left(c d + 2 \, d^{2}\right)} x^{4} + d^{2} x\right)} \sqrt{x^{4} + x} \sqrt{\frac{c + d}{d}}}{c^{2} x^{6} - 2 \, c d x^{3} + d^{2}}\right) + {\left({\left(a + 2 \, b\right)} c + 2 \, a d\right)} \log\left(-2 \, x^{3} - 2 \, \sqrt{x^{4} + x} x - 1\right)}{6 \, c^{2}}, \frac{2 \, \sqrt{x^{4} + x} a c x + 2 \, {\left(b c + a d\right)} \sqrt{-\frac{c + d}{d}} \arctan\left(\frac{2 \, \sqrt{x^{4} + x} d x \sqrt{-\frac{c + d}{d}}}{{\left(c + 2 \, d\right)} x^{3} + d}\right) + {\left({\left(a + 2 \, b\right)} c + 2 \, a d\right)} \log\left(-2 \, x^{3} - 2 \, \sqrt{x^{4} + x} x - 1\right)}{6 \, c^{2}}\right]"," ",0,"[1/6*(2*sqrt(x^4 + x)*a*c*x + (b*c + a*d)*sqrt((c + d)/d)*log(-((c^2 + 8*c*d + 8*d^2)*x^6 + 2*(3*c*d + 4*d^2)*x^3 + d^2 - 4*((c*d + 2*d^2)*x^4 + d^2*x)*sqrt(x^4 + x)*sqrt((c + d)/d))/(c^2*x^6 - 2*c*d*x^3 + d^2)) + ((a + 2*b)*c + 2*a*d)*log(-2*x^3 - 2*sqrt(x^4 + x)*x - 1))/c^2, 1/6*(2*sqrt(x^4 + x)*a*c*x + 2*(b*c + a*d)*sqrt(-(c + d)/d)*arctan(2*sqrt(x^4 + x)*d*x*sqrt(-(c + d)/d)/((c + 2*d)*x^3 + d)) + ((a + 2*b)*c + 2*a*d)*log(-2*x^3 - 2*sqrt(x^4 + x)*x - 1))/c^2]","A",0
1840,1,517,0,18.120518," ","integrate((2*x^4-2*x+1)/x/(x^4-1)^(1/4),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \arctan\left(-\frac{x^{8} + 4 \, \sqrt{x^{4} - 1} x^{4} + 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(x^{4} - 4\right)} + 2 \, \sqrt{2} {\left(3 \, x^{4} - 4\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} - {\left(4 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{4} + 2 \, \sqrt{2} \sqrt{x^{4} - 1} {\left(x^{4} - 4\right)} + \sqrt{2} {\left(x^{8} - 10 \, x^{4} + 8\right)} + 16 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}}\right)} \sqrt{\frac{x^{4} + 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{4} - 1}}{x^{4}}}}{x^{8} - 16 \, x^{4} + 16}\right) - \frac{1}{4} \, \sqrt{2} \arctan\left(-\frac{x^{8} + 4 \, \sqrt{x^{4} - 1} x^{4} - 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(x^{4} - 4\right)} - 2 \, \sqrt{2} {\left(3 \, x^{4} - 4\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} - {\left(4 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{4} - 2 \, \sqrt{2} \sqrt{x^{4} - 1} {\left(x^{4} - 4\right)} - \sqrt{2} {\left(x^{8} - 10 \, x^{4} + 8\right)} + 16 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}}\right)} \sqrt{\frac{x^{4} - 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} - 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{4} - 1}}{x^{4}}}}{x^{8} - 16 \, x^{4} + 16}\right) - \frac{1}{16} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{4} + 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{4} - 1}\right)}}{x^{4}}\right) + \frac{1}{16} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{4} - 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{3}{4}} - 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{4} - 1}\right)}}{x^{4}}\right) + \frac{2}{3} \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} + \frac{1}{2} \, \arctan\left(2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 2 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} x\right) + \frac{1}{2} \, \log\left(-2 \, x^{4} + 2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} x^{3} - 2 \, \sqrt{x^{4} - 1} x^{2} + 2 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} x + 1\right)"," ",0,"1/4*sqrt(2)*arctan(-(x^8 + 4*sqrt(x^4 - 1)*x^4 + 2*sqrt(2)*(x^4 - 1)^(3/4)*(x^4 - 4) + 2*sqrt(2)*(3*x^4 - 4)*(x^4 - 1)^(1/4) - (4*(x^4 - 1)^(1/4)*x^4 + 2*sqrt(2)*sqrt(x^4 - 1)*(x^4 - 4) + sqrt(2)*(x^8 - 10*x^4 + 8) + 16*(x^4 - 1)^(3/4))*sqrt((x^4 + 2*sqrt(2)*(x^4 - 1)^(3/4) + 2*sqrt(2)*(x^4 - 1)^(1/4) + 4*sqrt(x^4 - 1))/x^4))/(x^8 - 16*x^4 + 16)) - 1/4*sqrt(2)*arctan(-(x^8 + 4*sqrt(x^4 - 1)*x^4 - 2*sqrt(2)*(x^4 - 1)^(3/4)*(x^4 - 4) - 2*sqrt(2)*(3*x^4 - 4)*(x^4 - 1)^(1/4) - (4*(x^4 - 1)^(1/4)*x^4 - 2*sqrt(2)*sqrt(x^4 - 1)*(x^4 - 4) - sqrt(2)*(x^8 - 10*x^4 + 8) + 16*(x^4 - 1)^(3/4))*sqrt((x^4 - 2*sqrt(2)*(x^4 - 1)^(3/4) - 2*sqrt(2)*(x^4 - 1)^(1/4) + 4*sqrt(x^4 - 1))/x^4))/(x^8 - 16*x^4 + 16)) - 1/16*sqrt(2)*log(4*(x^4 + 2*sqrt(2)*(x^4 - 1)^(3/4) + 2*sqrt(2)*(x^4 - 1)^(1/4) + 4*sqrt(x^4 - 1))/x^4) + 1/16*sqrt(2)*log(4*(x^4 - 2*sqrt(2)*(x^4 - 1)^(3/4) - 2*sqrt(2)*(x^4 - 1)^(1/4) + 4*sqrt(x^4 - 1))/x^4) + 2/3*(x^4 - 1)^(3/4) + 1/2*arctan(2*(x^4 - 1)^(1/4)*x^3 + 2*(x^4 - 1)^(3/4)*x) + 1/2*log(-2*x^4 + 2*(x^4 - 1)^(1/4)*x^3 - 2*sqrt(x^4 - 1)*x^2 + 2*(x^4 - 1)^(3/4)*x + 1)","B",0
1841,-1,0,0,0.000000," ","integrate(x^2*(a*x^5-4*b)/(a*x^5+b)^(3/4)/(a*x^5+c*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1842,1,188,0,0.585499," ","integrate(1/(x^6+2*x^5-x^4-4*x^3-x^2+2*x+1)^(1/6),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(x + 1\right)} + 2 \, \sqrt{3} {\left(x^{6} + 2 \, x^{5} - x^{4} - 4 \, x^{3} - x^{2} + 2 \, x + 1\right)}^{\frac{1}{6}}}{3 \, {\left(x + 1\right)}}\right) + \frac{1}{2} \, \log\left(\frac{x^{2} + {\left(x^{6} + 2 \, x^{5} - x^{4} - 4 \, x^{3} - x^{2} + 2 \, x + 1\right)}^{\frac{1}{6}} {\left(x + 1\right)} + 2 \, x + {\left(x^{6} + 2 \, x^{5} - x^{4} - 4 \, x^{3} - x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}} + 1}{x^{2} + 2 \, x + 1}\right) - \log\left(-\frac{x - {\left(x^{6} + 2 \, x^{5} - x^{4} - 4 \, x^{3} - x^{2} + 2 \, x + 1\right)}^{\frac{1}{6}} + 1}{x + 1}\right)"," ",0,"-sqrt(3)*arctan(1/3*(sqrt(3)*(x + 1) + 2*sqrt(3)*(x^6 + 2*x^5 - x^4 - 4*x^3 - x^2 + 2*x + 1)^(1/6))/(x + 1)) + 1/2*log((x^2 + (x^6 + 2*x^5 - x^4 - 4*x^3 - x^2 + 2*x + 1)^(1/6)*(x + 1) + 2*x + (x^6 + 2*x^5 - x^4 - 4*x^3 - x^2 + 2*x + 1)^(1/3) + 1)/(x^2 + 2*x + 1)) - log(-(x - (x^6 + 2*x^5 - x^4 - 4*x^3 - x^2 + 2*x + 1)^(1/6) + 1)/(x + 1))","A",0
1843,-1,0,0,0.000000," ","integrate(x^2*(a*x^6-2*b)/(a*x^6+b)^(3/4)/(a*x^6+c*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1844,1,816,0,46.857536," ","integrate((x^3+4)*(x^8+x^6+2*x^3+1)/x^4/(x^3+1)^(1/4)/(x^8-x^6-2*x^3-1),x, algorithm=""fricas"")","-\frac{12 \, \sqrt{2} x^{3} \arctan\left(\frac{x^{8} + 2 \, x^{7} + x^{6} + 2 \, x^{4} + 2 \, x^{3} + 2 \, \sqrt{2} {\left(3 \, x^{5} - x^{4} - x\right)} {\left(x^{3} + 1\right)}^{\frac{3}{4}} + 2 \, \sqrt{2} {\left(x^{7} - 3 \, x^{6} - 3 \, x^{3}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{4}} + 4 \, {\left(x^{6} + x^{5} + x^{2}\right)} \sqrt{x^{3} + 1} + {\left(16 \, {\left(x^{3} + 1\right)}^{\frac{3}{4}} x^{5} + 2 \, \sqrt{2} {\left(3 \, x^{6} - x^{5} - x^{2}\right)} \sqrt{x^{3} + 1} + \sqrt{2} {\left(x^{8} + 8 \, x^{7} - x^{6} + 8 \, x^{4} - 2 \, x^{3} - 1\right)} + 4 \, {\left(x^{7} + x^{6} + x^{3}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{4} - 2 \, \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{1}{4}} x^{3} + x^{3} + 4 \, \sqrt{x^{3} + 1} x^{2} - 2 \, \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{3}{4}} x + 1}{x^{4} + x^{3} + 1}} + 1}{x^{8} - 14 \, x^{7} + x^{6} - 14 \, x^{4} + 2 \, x^{3} + 1}\right) - 12 \, \sqrt{2} x^{3} \arctan\left(\frac{x^{8} + 2 \, x^{7} + x^{6} + 2 \, x^{4} + 2 \, x^{3} - 2 \, \sqrt{2} {\left(3 \, x^{5} - x^{4} - x\right)} {\left(x^{3} + 1\right)}^{\frac{3}{4}} - 2 \, \sqrt{2} {\left(x^{7} - 3 \, x^{6} - 3 \, x^{3}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{4}} + 4 \, {\left(x^{6} + x^{5} + x^{2}\right)} \sqrt{x^{3} + 1} + {\left(16 \, {\left(x^{3} + 1\right)}^{\frac{3}{4}} x^{5} - 2 \, \sqrt{2} {\left(3 \, x^{6} - x^{5} - x^{2}\right)} \sqrt{x^{3} + 1} - \sqrt{2} {\left(x^{8} + 8 \, x^{7} - x^{6} + 8 \, x^{4} - 2 \, x^{3} - 1\right)} + 4 \, {\left(x^{7} + x^{6} + x^{3}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{4} + 2 \, \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{1}{4}} x^{3} + x^{3} + 4 \, \sqrt{x^{3} + 1} x^{2} + 2 \, \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{3}{4}} x + 1}{x^{4} + x^{3} + 1}} + 1}{x^{8} - 14 \, x^{7} + x^{6} - 14 \, x^{4} + 2 \, x^{3} + 1}\right) - 3 \, \sqrt{2} x^{3} \log\left(\frac{4 \, {\left(x^{4} + 2 \, \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{1}{4}} x^{3} + x^{3} + 4 \, \sqrt{x^{3} + 1} x^{2} + 2 \, \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{3}{4}} x + 1\right)}}{x^{4} + x^{3} + 1}\right) + 3 \, \sqrt{2} x^{3} \log\left(\frac{4 \, {\left(x^{4} - 2 \, \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{1}{4}} x^{3} + x^{3} + 4 \, \sqrt{x^{3} + 1} x^{2} - 2 \, \sqrt{2} {\left(x^{3} + 1\right)}^{\frac{3}{4}} x + 1\right)}}{x^{4} + x^{3} + 1}\right) - 12 \, x^{3} \arctan\left(\frac{2 \, {\left({\left(x^{3} + 1\right)}^{\frac{1}{4}} x^{3} + {\left(x^{3} + 1\right)}^{\frac{3}{4}} x\right)}}{x^{4} - x^{3} - 1}\right) - 12 \, x^{3} \log\left(\frac{x^{4} - 2 \, {\left(x^{3} + 1\right)}^{\frac{1}{4}} x^{3} + x^{3} + 2 \, \sqrt{x^{3} + 1} x^{2} - 2 \, {\left(x^{3} + 1\right)}^{\frac{3}{4}} x + 1}{x^{4} - x^{3} - 1}\right) - 16 \, {\left(x^{3} + 1\right)}^{\frac{3}{4}}}{12 \, x^{3}}"," ",0,"-1/12*(12*sqrt(2)*x^3*arctan((x^8 + 2*x^7 + x^6 + 2*x^4 + 2*x^3 + 2*sqrt(2)*(3*x^5 - x^4 - x)*(x^3 + 1)^(3/4) + 2*sqrt(2)*(x^7 - 3*x^6 - 3*x^3)*(x^3 + 1)^(1/4) + 4*(x^6 + x^5 + x^2)*sqrt(x^3 + 1) + (16*(x^3 + 1)^(3/4)*x^5 + 2*sqrt(2)*(3*x^6 - x^5 - x^2)*sqrt(x^3 + 1) + sqrt(2)*(x^8 + 8*x^7 - x^6 + 8*x^4 - 2*x^3 - 1) + 4*(x^7 + x^6 + x^3)*(x^3 + 1)^(1/4))*sqrt((x^4 - 2*sqrt(2)*(x^3 + 1)^(1/4)*x^3 + x^3 + 4*sqrt(x^3 + 1)*x^2 - 2*sqrt(2)*(x^3 + 1)^(3/4)*x + 1)/(x^4 + x^3 + 1)) + 1)/(x^8 - 14*x^7 + x^6 - 14*x^4 + 2*x^3 + 1)) - 12*sqrt(2)*x^3*arctan((x^8 + 2*x^7 + x^6 + 2*x^4 + 2*x^3 - 2*sqrt(2)*(3*x^5 - x^4 - x)*(x^3 + 1)^(3/4) - 2*sqrt(2)*(x^7 - 3*x^6 - 3*x^3)*(x^3 + 1)^(1/4) + 4*(x^6 + x^5 + x^2)*sqrt(x^3 + 1) + (16*(x^3 + 1)^(3/4)*x^5 - 2*sqrt(2)*(3*x^6 - x^5 - x^2)*sqrt(x^3 + 1) - sqrt(2)*(x^8 + 8*x^7 - x^6 + 8*x^4 - 2*x^3 - 1) + 4*(x^7 + x^6 + x^3)*(x^3 + 1)^(1/4))*sqrt((x^4 + 2*sqrt(2)*(x^3 + 1)^(1/4)*x^3 + x^3 + 4*sqrt(x^3 + 1)*x^2 + 2*sqrt(2)*(x^3 + 1)^(3/4)*x + 1)/(x^4 + x^3 + 1)) + 1)/(x^8 - 14*x^7 + x^6 - 14*x^4 + 2*x^3 + 1)) - 3*sqrt(2)*x^3*log(4*(x^4 + 2*sqrt(2)*(x^3 + 1)^(1/4)*x^3 + x^3 + 4*sqrt(x^3 + 1)*x^2 + 2*sqrt(2)*(x^3 + 1)^(3/4)*x + 1)/(x^4 + x^3 + 1)) + 3*sqrt(2)*x^3*log(4*(x^4 - 2*sqrt(2)*(x^3 + 1)^(1/4)*x^3 + x^3 + 4*sqrt(x^3 + 1)*x^2 - 2*sqrt(2)*(x^3 + 1)^(3/4)*x + 1)/(x^4 + x^3 + 1)) - 12*x^3*arctan(2*((x^3 + 1)^(1/4)*x^3 + (x^3 + 1)^(3/4)*x)/(x^4 - x^3 - 1)) - 12*x^3*log((x^4 - 2*(x^3 + 1)^(1/4)*x^3 + x^3 + 2*sqrt(x^3 + 1)*x^2 - 2*(x^3 + 1)^(3/4)*x + 1)/(x^4 - x^3 - 1)) - 16*(x^3 + 1)^(3/4))/x^3","B",0
1845,1,255,0,0.452979," ","integrate((2*x^8-x^4+2)/(x^4+1)^(1/4)/(x^8+x^4-2),x, algorithm=""fricas"")","-\frac{1}{2} \cdot 8^{\frac{3}{4}} \arctan\left(\frac{8^{\frac{3}{4}} \sqrt{2} x \sqrt{\frac{\sqrt{2} x^{2} + 2 \, \sqrt{x^{4} + 1}}{x^{2}}} - 2 \cdot 8^{\frac{3}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{8 \, x}\right) - \frac{1}{2} \cdot 2^{\frac{3}{4}} \arctan\left(\frac{2^{\frac{3}{4}} x \sqrt{\frac{\sqrt{2} x^{2} + \sqrt{x^{4} + 1}}{x^{2}}} - 2^{\frac{3}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{2 \, x}\right) - \frac{1}{8} \cdot 8^{\frac{3}{4}} \log\left(\frac{8^{\frac{1}{4}} x + 2 \, {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{8} \cdot 8^{\frac{3}{4}} \log\left(-\frac{8^{\frac{1}{4}} x - 2 \, {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{8} \cdot 2^{\frac{3}{4}} \log\left(\frac{2^{\frac{1}{4}} x + {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{8} \cdot 2^{\frac{3}{4}} \log\left(-\frac{2^{\frac{1}{4}} x - {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) - \arctan\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \log\left(\frac{x + {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \log\left(-\frac{x - {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-1/2*8^(3/4)*arctan(1/8*(8^(3/4)*sqrt(2)*x*sqrt((sqrt(2)*x^2 + 2*sqrt(x^4 + 1))/x^2) - 2*8^(3/4)*(x^4 + 1)^(1/4))/x) - 1/2*2^(3/4)*arctan(1/2*(2^(3/4)*x*sqrt((sqrt(2)*x^2 + sqrt(x^4 + 1))/x^2) - 2^(3/4)*(x^4 + 1)^(1/4))/x) - 1/8*8^(3/4)*log((8^(1/4)*x + 2*(x^4 + 1)^(1/4))/x) + 1/8*8^(3/4)*log(-(8^(1/4)*x - 2*(x^4 + 1)^(1/4))/x) - 1/8*2^(3/4)*log((2^(1/4)*x + (x^4 + 1)^(1/4))/x) + 1/8*2^(3/4)*log(-(2^(1/4)*x - (x^4 + 1)^(1/4))/x) - arctan((x^4 + 1)^(1/4)/x) + 1/2*log((x + (x^4 + 1)^(1/4))/x) - 1/2*log(-(x - (x^4 + 1)^(1/4))/x)","B",0
1846,-1,0,0,0.000000," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/(a*x^2+b^2)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1847,1,288,0,4.077324," ","integrate((a*x^3+b)*(x^4-x)^(1/2)/(c*x^3-d),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{x^{4} - x} a c x + {\left(b c + a d\right)} \sqrt{-\frac{c - d}{d}} \log\left(-\frac{{\left(c^{2} - 8 \, c d + 8 \, d^{2}\right)} x^{6} + 2 \, {\left(3 \, c d - 4 \, d^{2}\right)} x^{3} + d^{2} + 4 \, {\left({\left(c d - 2 \, d^{2}\right)} x^{4} + d^{2} x\right)} \sqrt{x^{4} - x} \sqrt{-\frac{c - d}{d}}}{c^{2} x^{6} - 2 \, c d x^{3} + d^{2}}\right) - {\left({\left(a - 2 \, b\right)} c - 2 \, a d\right)} \log\left(-2 \, x^{3} - 2 \, \sqrt{x^{4} - x} x + 1\right)}{6 \, c^{2}}, \frac{2 \, \sqrt{x^{4} - x} a c x + 2 \, {\left(b c + a d\right)} \sqrt{\frac{c - d}{d}} \arctan\left(-\frac{2 \, \sqrt{x^{4} - x} d x \sqrt{\frac{c - d}{d}}}{{\left(c - 2 \, d\right)} x^{3} + d}\right) - {\left({\left(a - 2 \, b\right)} c - 2 \, a d\right)} \log\left(-2 \, x^{3} - 2 \, \sqrt{x^{4} - x} x + 1\right)}{6 \, c^{2}}\right]"," ",0,"[1/6*(2*sqrt(x^4 - x)*a*c*x + (b*c + a*d)*sqrt(-(c - d)/d)*log(-((c^2 - 8*c*d + 8*d^2)*x^6 + 2*(3*c*d - 4*d^2)*x^3 + d^2 + 4*((c*d - 2*d^2)*x^4 + d^2*x)*sqrt(x^4 - x)*sqrt(-(c - d)/d))/(c^2*x^6 - 2*c*d*x^3 + d^2)) - ((a - 2*b)*c - 2*a*d)*log(-2*x^3 - 2*sqrt(x^4 - x)*x + 1))/c^2, 1/6*(2*sqrt(x^4 - x)*a*c*x + 2*(b*c + a*d)*sqrt((c - d)/d)*arctan(-2*sqrt(x^4 - x)*d*x*sqrt((c - d)/d)/((c - 2*d)*x^3 + d)) - ((a - 2*b)*c - 2*a*d)*log(-2*x^3 - 2*sqrt(x^4 - x)*x + 1))/c^2]","A",0
1848,1,479,0,89.329424," ","integrate((a*x^3+b)/x^3/(a*x^3-b)/(a*x^4+b*x)^(1/4),x, algorithm=""fricas"")","\frac{12 \cdot 8^{\frac{1}{4}} b x^{3} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} \arctan\left(\frac{16 \cdot 8^{\frac{1}{4}} {\left(a x^{4} + b x\right)}^{\frac{1}{4}} a^{4} b x^{2} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} + 4 \cdot 8^{\frac{3}{4}} {\left(a x^{4} + b x\right)}^{\frac{3}{4}} a^{2} b^{3} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{3}{4}} + \sqrt{2} {\left(8 \cdot 8^{\frac{1}{4}} \sqrt{a x^{4} + b x} a^{2} b x \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} + 8^{\frac{3}{4}} {\left(3 \, a b^{3} x^{3} + b^{4}\right)} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{3}{4}}\right)} \sqrt{\sqrt{2} a^{2} b^{2} \sqrt{\frac{a^{3}}{b^{4}}}}}{8 \, {\left(a^{5} x^{3} - a^{4} b\right)}}\right) - 3 \cdot 8^{\frac{1}{4}} b x^{3} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} \log\left(\frac{4 \, \sqrt{2} {\left(a x^{4} + b x\right)}^{\frac{1}{4}} a b^{2} x^{2} \sqrt{\frac{a^{3}}{b^{4}}} + 8^{\frac{3}{4}} \sqrt{a x^{4} + b x} b^{3} x \left(\frac{a^{3}}{b^{4}}\right)^{\frac{3}{4}} + 4 \, {\left(a x^{4} + b x\right)}^{\frac{3}{4}} a^{2} + 8^{\frac{1}{4}} {\left(3 \, a^{2} b x^{3} + a b^{2}\right)} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}}}{a x^{3} - b}\right) + 3 \cdot 8^{\frac{1}{4}} b x^{3} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} \log\left(\frac{4 \, \sqrt{2} {\left(a x^{4} + b x\right)}^{\frac{1}{4}} a b^{2} x^{2} \sqrt{\frac{a^{3}}{b^{4}}} - 8^{\frac{3}{4}} \sqrt{a x^{4} + b x} b^{3} x \left(\frac{a^{3}}{b^{4}}\right)^{\frac{3}{4}} + 4 \, {\left(a x^{4} + b x\right)}^{\frac{3}{4}} a^{2} - 8^{\frac{1}{4}} {\left(3 \, a^{2} b x^{3} + a b^{2}\right)} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}}}{a x^{3} - b}\right) + 8 \, {\left(a x^{4} + b x\right)}^{\frac{3}{4}}}{18 \, b x^{3}}"," ",0,"1/18*(12*8^(1/4)*b*x^3*(a^3/b^4)^(1/4)*arctan(1/8*(16*8^(1/4)*(a*x^4 + b*x)^(1/4)*a^4*b*x^2*(a^3/b^4)^(1/4) + 4*8^(3/4)*(a*x^4 + b*x)^(3/4)*a^2*b^3*(a^3/b^4)^(3/4) + sqrt(2)*(8*8^(1/4)*sqrt(a*x^4 + b*x)*a^2*b*x*(a^3/b^4)^(1/4) + 8^(3/4)*(3*a*b^3*x^3 + b^4)*(a^3/b^4)^(3/4))*sqrt(sqrt(2)*a^2*b^2*sqrt(a^3/b^4)))/(a^5*x^3 - a^4*b)) - 3*8^(1/4)*b*x^3*(a^3/b^4)^(1/4)*log((4*sqrt(2)*(a*x^4 + b*x)^(1/4)*a*b^2*x^2*sqrt(a^3/b^4) + 8^(3/4)*sqrt(a*x^4 + b*x)*b^3*x*(a^3/b^4)^(3/4) + 4*(a*x^4 + b*x)^(3/4)*a^2 + 8^(1/4)*(3*a^2*b*x^3 + a*b^2)*(a^3/b^4)^(1/4))/(a*x^3 - b)) + 3*8^(1/4)*b*x^3*(a^3/b^4)^(1/4)*log((4*sqrt(2)*(a*x^4 + b*x)^(1/4)*a*b^2*x^2*sqrt(a^3/b^4) - 8^(3/4)*sqrt(a*x^4 + b*x)*b^3*x*(a^3/b^4)^(3/4) + 4*(a*x^4 + b*x)^(3/4)*a^2 - 8^(1/4)*(3*a^2*b*x^3 + a*b^2)*(a^3/b^4)^(1/4))/(a*x^3 - b)) + 8*(a*x^4 + b*x)^(3/4))/(b*x^3)","B",0
1849,1,151,0,1.135743," ","integrate((2*x^6+1)*(-x^7+x^3+x)^(1/3)/(x^6-1)^2,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} {\left(x^{6} - 1\right)} \arctan\left(-\frac{4 \, \sqrt{3} {\left(-x^{7} + x^{3} + x\right)}^{\frac{1}{3}} x - \sqrt{3} {\left(x^{6} - x^{2} - 1\right)} - 2 \, \sqrt{3} {\left(-x^{7} + x^{3} + x\right)}^{\frac{2}{3}}}{x^{6} - 9 \, x^{2} - 1}\right) - {\left(x^{6} - 1\right)} \log\left(\frac{x^{6} - 3 \, {\left(-x^{7} + x^{3} + x\right)}^{\frac{1}{3}} x + 3 \, {\left(-x^{7} + x^{3} + x\right)}^{\frac{2}{3}} - 1}{x^{6} - 1}\right) - 6 \, {\left(-x^{7} + x^{3} + x\right)}^{\frac{1}{3}} x}{12 \, {\left(x^{6} - 1\right)}}"," ",0,"1/12*(2*sqrt(3)*(x^6 - 1)*arctan(-(4*sqrt(3)*(-x^7 + x^3 + x)^(1/3)*x - sqrt(3)*(x^6 - x^2 - 1) - 2*sqrt(3)*(-x^7 + x^3 + x)^(2/3))/(x^6 - 9*x^2 - 1)) - (x^6 - 1)*log((x^6 - 3*(-x^7 + x^3 + x)^(1/3)*x + 3*(-x^7 + x^3 + x)^(2/3) - 1)/(x^6 - 1)) - 6*(-x^7 + x^3 + x)^(1/3)*x)/(x^6 - 1)","A",0
1850,-1,0,0,0.000000," ","integrate((-(2*a-b)*b^2+(4*a-b)*b*x-(2*a+b)*x^2+x^3)/((-a+x)*(-b+x)^2)^(3/4)/(a+b^2*d-(2*b*d+1)*x+d*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1851,-1,0,0,0.000000," ","integrate((x^4+2)/(x^4+x^2)^(1/4)/(2*x^8-x^4-1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1852,-1,0,0,0.000000," ","integrate((x^4+2)/(x^4+x^2)^(1/4)/(2*x^8-x^4-1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1853,1,81,0,2.960101," ","integrate((x+(1+x)^(1/2))^(1/2)/x^2,x, algorithm=""fricas"")","\frac{x \arctan\left(\frac{2 \, \sqrt{x + \sqrt{x + 1}} {\left(\sqrt{x + 1} - 3\right)}}{x - 8}\right) + 3 \, x \log\left(\frac{2 \, \sqrt{x + \sqrt{x + 1}} {\left(\sqrt{x + 1} + 1\right)} - 3 \, x - 2 \, \sqrt{x + 1} - 2}{x}\right) - 4 \, \sqrt{x + \sqrt{x + 1}}}{4 \, x}"," ",0,"1/4*(x*arctan(2*sqrt(x + sqrt(x + 1))*(sqrt(x + 1) - 3)/(x - 8)) + 3*x*log((2*sqrt(x + sqrt(x + 1))*(sqrt(x + 1) + 1) - 3*x - 2*sqrt(x + 1) - 2)/x) - 4*sqrt(x + sqrt(x + 1)))/x","A",0
1854,1,158,0,0.457828," ","integrate((-1+x)*(x+(x^2+1)^(1/2))^(1/2)/(1+x),x, algorithm=""fricas"")","\frac{2}{3} \, {\left(2 \, x - \sqrt{x^{2} + 1} - 6\right)} \sqrt{x + \sqrt{x^{2} + 1}} - 8 \, \sqrt{\sqrt{2} + 1} \arctan\left(\sqrt{x + \sqrt{2} + \sqrt{x^{2} + 1} + 1} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} - \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)}\right) + 2 \, \sqrt{\sqrt{2} - 1} \log\left(4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} - 1}\right) - 2 \, \sqrt{\sqrt{2} - 1} \log\left(4 \, \sqrt{x + \sqrt{x^{2} + 1}} - 4 \, \sqrt{\sqrt{2} - 1}\right)"," ",0,"2/3*(2*x - sqrt(x^2 + 1) - 6)*sqrt(x + sqrt(x^2 + 1)) - 8*sqrt(sqrt(2) + 1)*arctan(sqrt(x + sqrt(2) + sqrt(x^2 + 1) + 1)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) - sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(2) + 1)*(sqrt(2) - 1)) + 2*sqrt(sqrt(2) - 1)*log(4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) - 1)) - 2*sqrt(sqrt(2) - 1)*log(4*sqrt(x + sqrt(x^2 + 1)) - 4*sqrt(sqrt(2) - 1))","A",0
1855,1,158,0,0.759493," ","integrate((1+x)*(x+(x^2+1)^(1/2))^(1/2)/(-1+x),x, algorithm=""fricas"")","\frac{2}{3} \, {\left(2 \, x - \sqrt{x^{2} + 1} + 6\right)} \sqrt{x + \sqrt{x^{2} + 1}} + 8 \, \sqrt{\sqrt{2} - 1} \arctan\left(\sqrt{x + \sqrt{2} + \sqrt{x^{2} + 1} - 1} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} - \sqrt{x + \sqrt{x^{2} + 1}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right) - 2 \, \sqrt{\sqrt{2} + 1} \log\left(4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 1}\right) + 2 \, \sqrt{\sqrt{2} + 1} \log\left(4 \, \sqrt{x + \sqrt{x^{2} + 1}} - 4 \, \sqrt{\sqrt{2} + 1}\right)"," ",0,"2/3*(2*x - sqrt(x^2 + 1) + 6)*sqrt(x + sqrt(x^2 + 1)) + 8*sqrt(sqrt(2) - 1)*arctan(sqrt(x + sqrt(2) + sqrt(x^2 + 1) - 1)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) - sqrt(x + sqrt(x^2 + 1))*(sqrt(2) + 1)*sqrt(sqrt(2) - 1)) - 2*sqrt(sqrt(2) + 1)*log(4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 1)) + 2*sqrt(sqrt(2) + 1)*log(4*sqrt(x + sqrt(x^2 + 1)) - 4*sqrt(sqrt(2) + 1))","A",0
1856,1,407,0,17.575696," ","integrate((x^2+2*x+6)/(1+x)/(x^2+x+2)^(1/3)/(2*x^2-x+2),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} 2^{\frac{1}{6}} {\left(2^{\frac{5}{6}} {\left(8 \, x^{9} + 48 \, x^{8} + 18 \, x^{7} + 37 \, x^{6} - 147 \, x^{5} - 111 \, x^{4} - 107 \, x^{3} + 18 \, x^{2} + 12 \, x + 8\right)} + 12 \, \sqrt{2} {\left(4 \, x^{8} - 14 \, x^{7} - 13 \, x^{6} - 26 \, x^{5} + 5 \, x^{4} + 4 \, x^{3} + 4 \, x^{2}\right)} {\left(x^{2} + x + 2\right)}^{\frac{1}{3}} + 12 \cdot 2^{\frac{1}{6}} {\left(8 \, x^{7} + 2 \, x^{6} + x^{5} + 2 \, x^{4} - 5 \, x^{3} - 4 \, x^{2} - 4 \, x\right)} {\left(x^{2} + x + 2\right)}^{\frac{2}{3}}\right)}}{6 \, {\left(8 \, x^{9} - 96 \, x^{8} - 90 \, x^{7} - 179 \, x^{6} + 33 \, x^{5} + 33 \, x^{4} + 37 \, x^{3} + 18 \, x^{2} + 12 \, x + 8\right)}}\right) + \frac{1}{6} \cdot 2^{\frac{2}{3}} \log\left(\frac{6 \cdot 2^{\frac{1}{3}} {\left(x^{2} + x + 2\right)}^{\frac{1}{3}} x^{2} + 2^{\frac{2}{3}} {\left(2 \, x^{3} + x^{2} + x + 2\right)} + 6 \, {\left(x^{2} + x + 2\right)}^{\frac{2}{3}} x}{2 \, x^{3} + x^{2} + x + 2}\right) - \frac{1}{12} \cdot 2^{\frac{2}{3}} \log\left(\frac{3 \cdot 2^{\frac{2}{3}} {\left(4 \, x^{4} - x^{3} - x^{2} - 2 \, x\right)} {\left(x^{2} + x + 2\right)}^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(4 \, x^{6} - 14 \, x^{5} - 13 \, x^{4} - 26 \, x^{3} + 5 \, x^{2} + 4 \, x + 4\right)} - 12 \, {\left(x^{5} - x^{4} - x^{3} - 2 \, x^{2}\right)} {\left(x^{2} + x + 2\right)}^{\frac{1}{3}}}{4 \, x^{6} + 4 \, x^{5} + 5 \, x^{4} + 10 \, x^{3} + 5 \, x^{2} + 4 \, x + 4}\right)"," ",0,"-1/6*sqrt(3)*2^(2/3)*arctan(1/6*sqrt(3)*2^(1/6)*(2^(5/6)*(8*x^9 + 48*x^8 + 18*x^7 + 37*x^6 - 147*x^5 - 111*x^4 - 107*x^3 + 18*x^2 + 12*x + 8) + 12*sqrt(2)*(4*x^8 - 14*x^7 - 13*x^6 - 26*x^5 + 5*x^4 + 4*x^3 + 4*x^2)*(x^2 + x + 2)^(1/3) + 12*2^(1/6)*(8*x^7 + 2*x^6 + x^5 + 2*x^4 - 5*x^3 - 4*x^2 - 4*x)*(x^2 + x + 2)^(2/3))/(8*x^9 - 96*x^8 - 90*x^7 - 179*x^6 + 33*x^5 + 33*x^4 + 37*x^3 + 18*x^2 + 12*x + 8)) + 1/6*2^(2/3)*log((6*2^(1/3)*(x^2 + x + 2)^(1/3)*x^2 + 2^(2/3)*(2*x^3 + x^2 + x + 2) + 6*(x^2 + x + 2)^(2/3)*x)/(2*x^3 + x^2 + x + 2)) - 1/12*2^(2/3)*log((3*2^(2/3)*(4*x^4 - x^3 - x^2 - 2*x)*(x^2 + x + 2)^(2/3) + 2^(1/3)*(4*x^6 - 14*x^5 - 13*x^4 - 26*x^3 + 5*x^2 + 4*x + 4) - 12*(x^5 - x^4 - x^3 - 2*x^2)*(x^2 + x + 2)^(1/3))/(4*x^6 + 4*x^5 + 5*x^4 + 10*x^3 + 5*x^2 + 4*x + 4))","B",0
1857,1,134,0,0.461092," ","integrate(1/x/(a*x^3-b)^(3/4),x, algorithm=""fricas"")","\frac{4}{3} \, \left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} \arctan\left(\sqrt{b^{2} \sqrt{-\frac{1}{b^{3}}} + \sqrt{a x^{3} - b}} b^{2} \left(-\frac{1}{b^{3}}\right)^{\frac{3}{4}} - {\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{2} \left(-\frac{1}{b^{3}}\right)^{\frac{3}{4}}\right) + \frac{1}{3} \, \left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} \log\left(b \left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} + {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right) - \frac{1}{3} \, \left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} \log\left(-b \left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} + {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right)"," ",0,"4/3*(-1/b^3)^(1/4)*arctan(sqrt(b^2*sqrt(-1/b^3) + sqrt(a*x^3 - b))*b^2*(-1/b^3)^(3/4) - (a*x^3 - b)^(1/4)*b^2*(-1/b^3)^(3/4)) + 1/3*(-1/b^3)^(1/4)*log(b*(-1/b^3)^(1/4) + (a*x^3 - b)^(1/4)) - 1/3*(-1/b^3)^(1/4)*log(-b*(-1/b^3)^(1/4) + (a*x^3 - b)^(1/4))","A",0
1858,1,127,0,0.463363," ","integrate(1/x/(a*x^3-b)^(1/4),x, algorithm=""fricas"")","-\frac{4}{3} \, \left(-\frac{1}{b}\right)^{\frac{1}{4}} \arctan\left(\sqrt{-b \sqrt{-\frac{1}{b}} + \sqrt{a x^{3} - b}} \left(-\frac{1}{b}\right)^{\frac{1}{4}} - {\left(a x^{3} - b\right)}^{\frac{1}{4}} \left(-\frac{1}{b}\right)^{\frac{1}{4}}\right) + \frac{1}{3} \, \left(-\frac{1}{b}\right)^{\frac{1}{4}} \log\left(b \left(-\frac{1}{b}\right)^{\frac{3}{4}} + {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right) - \frac{1}{3} \, \left(-\frac{1}{b}\right)^{\frac{1}{4}} \log\left(-b \left(-\frac{1}{b}\right)^{\frac{3}{4}} + {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right)"," ",0,"-4/3*(-1/b)^(1/4)*arctan(sqrt(-b*sqrt(-1/b) + sqrt(a*x^3 - b))*(-1/b)^(1/4) - (a*x^3 - b)^(1/4)*(-1/b)^(1/4)) + 1/3*(-1/b)^(1/4)*log(b*(-1/b)^(3/4) + (a*x^3 - b)^(1/4)) - 1/3*(-1/b)^(1/4)*log(-b*(-1/b)^(3/4) + (a*x^3 - b)^(1/4))","A",0
1859,-1,0,0,0.000000," ","integrate((a*x^2-3*b)*(-a*x^2+x^3+b)/x^3/(a*x^2+x^3-b)/(a*x^3-b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1860,1,133,0,0.459377," ","integrate(1/x/(a*x^4-b)^(3/4),x, algorithm=""fricas"")","\left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} \arctan\left(\sqrt{b^{2} \sqrt{-\frac{1}{b^{3}}} + \sqrt{a x^{4} - b}} b^{2} \left(-\frac{1}{b^{3}}\right)^{\frac{3}{4}} - {\left(a x^{4} - b\right)}^{\frac{1}{4}} b^{2} \left(-\frac{1}{b^{3}}\right)^{\frac{3}{4}}\right) + \frac{1}{4} \, \left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} \log\left(b \left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} + {\left(a x^{4} - b\right)}^{\frac{1}{4}}\right) - \frac{1}{4} \, \left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} \log\left(-b \left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} + {\left(a x^{4} - b\right)}^{\frac{1}{4}}\right)"," ",0,"(-1/b^3)^(1/4)*arctan(sqrt(b^2*sqrt(-1/b^3) + sqrt(a*x^4 - b))*b^2*(-1/b^3)^(3/4) - (a*x^4 - b)^(1/4)*b^2*(-1/b^3)^(3/4)) + 1/4*(-1/b^3)^(1/4)*log(b*(-1/b^3)^(1/4) + (a*x^4 - b)^(1/4)) - 1/4*(-1/b^3)^(1/4)*log(-b*(-1/b^3)^(1/4) + (a*x^4 - b)^(1/4))","A",0
1861,1,127,0,0.505524," ","integrate(1/x/(a*x^4-b)^(1/4),x, algorithm=""fricas"")","-\left(-\frac{1}{b}\right)^{\frac{1}{4}} \arctan\left(\sqrt{-b \sqrt{-\frac{1}{b}} + \sqrt{a x^{4} - b}} \left(-\frac{1}{b}\right)^{\frac{1}{4}} - {\left(a x^{4} - b\right)}^{\frac{1}{4}} \left(-\frac{1}{b}\right)^{\frac{1}{4}}\right) + \frac{1}{4} \, \left(-\frac{1}{b}\right)^{\frac{1}{4}} \log\left(b \left(-\frac{1}{b}\right)^{\frac{3}{4}} + {\left(a x^{4} - b\right)}^{\frac{1}{4}}\right) - \frac{1}{4} \, \left(-\frac{1}{b}\right)^{\frac{1}{4}} \log\left(-b \left(-\frac{1}{b}\right)^{\frac{3}{4}} + {\left(a x^{4} - b\right)}^{\frac{1}{4}}\right)"," ",0,"-(-1/b)^(1/4)*arctan(sqrt(-b*sqrt(-1/b) + sqrt(a*x^4 - b))*(-1/b)^(1/4) - (a*x^4 - b)^(1/4)*(-1/b)^(1/4)) + 1/4*(-1/b)^(1/4)*log(b*(-1/b)^(3/4) + (a*x^4 - b)^(1/4)) - 1/4*(-1/b)^(1/4)*log(-b*(-1/b)^(3/4) + (a*x^4 - b)^(1/4))","A",0
1862,-1,0,0,0.000000," ","integrate((-x^5+1)/(b*x+a)^(1/2)/(x^5+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1863,1,134,0,0.476816," ","integrate(1/x/(a*x^5-b)^(3/4),x, algorithm=""fricas"")","\frac{4}{5} \, \left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} \arctan\left(\sqrt{b^{2} \sqrt{-\frac{1}{b^{3}}} + \sqrt{a x^{5} - b}} b^{2} \left(-\frac{1}{b^{3}}\right)^{\frac{3}{4}} - {\left(a x^{5} - b\right)}^{\frac{1}{4}} b^{2} \left(-\frac{1}{b^{3}}\right)^{\frac{3}{4}}\right) + \frac{1}{5} \, \left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} \log\left(b \left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} + {\left(a x^{5} - b\right)}^{\frac{1}{4}}\right) - \frac{1}{5} \, \left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} \log\left(-b \left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} + {\left(a x^{5} - b\right)}^{\frac{1}{4}}\right)"," ",0,"4/5*(-1/b^3)^(1/4)*arctan(sqrt(b^2*sqrt(-1/b^3) + sqrt(a*x^5 - b))*b^2*(-1/b^3)^(3/4) - (a*x^5 - b)^(1/4)*b^2*(-1/b^3)^(3/4)) + 1/5*(-1/b^3)^(1/4)*log(b*(-1/b^3)^(1/4) + (a*x^5 - b)^(1/4)) - 1/5*(-1/b^3)^(1/4)*log(-b*(-1/b^3)^(1/4) + (a*x^5 - b)^(1/4))","A",0
1864,1,134,0,0.446065," ","integrate(1/x/(a*x^6-b)^(3/4),x, algorithm=""fricas"")","\frac{2}{3} \, \left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} \arctan\left(\sqrt{b^{2} \sqrt{-\frac{1}{b^{3}}} + \sqrt{a x^{6} - b}} b^{2} \left(-\frac{1}{b^{3}}\right)^{\frac{3}{4}} - {\left(a x^{6} - b\right)}^{\frac{1}{4}} b^{2} \left(-\frac{1}{b^{3}}\right)^{\frac{3}{4}}\right) + \frac{1}{6} \, \left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} \log\left(b \left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} + {\left(a x^{6} - b\right)}^{\frac{1}{4}}\right) - \frac{1}{6} \, \left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} \log\left(-b \left(-\frac{1}{b^{3}}\right)^{\frac{1}{4}} + {\left(a x^{6} - b\right)}^{\frac{1}{4}}\right)"," ",0,"2/3*(-1/b^3)^(1/4)*arctan(sqrt(b^2*sqrt(-1/b^3) + sqrt(a*x^6 - b))*b^2*(-1/b^3)^(3/4) - (a*x^6 - b)^(1/4)*b^2*(-1/b^3)^(3/4)) + 1/6*(-1/b^3)^(1/4)*log(b*(-1/b^3)^(1/4) + (a*x^6 - b)^(1/4)) - 1/6*(-1/b^3)^(1/4)*log(-b*(-1/b^3)^(1/4) + (a*x^6 - b)^(1/4))","A",0
1865,1,4669,0,4.269096," ","integrate((x^4+1)*(x^4+x^2-1)^(3/2)/(x^4-1)/(x^8-x^6-x^4+x^2+1),x, algorithm=""fricas"")","-\frac{1}{16} \cdot 12^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} - 2 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} \log\left(\frac{48 \, {\left(12 \, x^{6} + 12 \, x^{4} + 12^{\frac{1}{4}} \sqrt{x^{4} + x^{2} - 1} {\left(3 \, \sqrt{2} x^{3} + \sqrt{3} \sqrt{2} {\left(x^{5} + x^{3} - x\right)}\right)} \sqrt{\sqrt{3} + 2} - 12 \, x^{2} + \sqrt{3} {\left(x^{8} + 5 \, x^{6} + 5 \, x^{4} - 5 \, x^{2} + 1\right)}\right)}}{x^{8} - x^{6} - x^{4} + x^{2} + 1}\right) + \frac{1}{16} \cdot 12^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} - 2 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} \log\left(\frac{48 \, {\left(12 \, x^{6} + 12 \, x^{4} - 12^{\frac{1}{4}} \sqrt{x^{4} + x^{2} - 1} {\left(3 \, \sqrt{2} x^{3} + \sqrt{3} \sqrt{2} {\left(x^{5} + x^{3} - x\right)}\right)} \sqrt{\sqrt{3} + 2} - 12 \, x^{2} + \sqrt{3} {\left(x^{8} + 5 \, x^{6} + 5 \, x^{4} - 5 \, x^{2} + 1\right)}\right)}}{x^{8} - x^{6} - x^{4} + x^{2} + 1}\right) + \frac{1}{4} \cdot 12^{\frac{1}{4}} \sqrt{2} \sqrt{\sqrt{3} + 2} \arctan\left(-\frac{36 \, x^{48} + 648 \, x^{46} + 108 \, x^{44} - 26208 \, x^{42} - 80784 \, x^{40} + 122472 \, x^{38} + 679176 \, x^{36} - 158760 \, x^{34} - 2555388 \, x^{32} - 118872 \, x^{30} + 5525496 \, x^{28} + 511704 \, x^{26} - 7137036 \, x^{24} - 511704 \, x^{22} + 5525496 \, x^{20} + 118872 \, x^{18} - 2555388 \, x^{16} + 158760 \, x^{14} + 679176 \, x^{12} - 122472 \, x^{10} - 80784 \, x^{8} + 26208 \, x^{6} + 108 \, x^{4} - 648 \, x^{2} + 6 \, \sqrt{x^{4} + x^{2} - 1} {\left(12^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{45} + 37 \, x^{43} + 31 \, x^{41} - 895 \, x^{39} - 1651 \, x^{37} + 6780 \, x^{35} + 13803 \, x^{33} - 25689 \, x^{31} - 50211 \, x^{29} + 55250 \, x^{27} + 92893 \, x^{25} - 70967 \, x^{23} - 92893 \, x^{21} + 55250 \, x^{19} + 50211 \, x^{17} - 25689 \, x^{15} - 13803 \, x^{13} + 6780 \, x^{11} + 1651 \, x^{9} - 895 \, x^{7} - 31 \, x^{5} + 37 \, x^{3} - 2 \, x\right)} - 3 \, \sqrt{2} {\left(x^{45} + 20 \, x^{43} + 35 \, x^{41} - 323 \, x^{39} - 542 \, x^{37} + 2868 \, x^{35} + 4170 \, x^{33} - 13119 \, x^{31} - 16182 \, x^{29} + 31720 \, x^{27} + 31130 \, x^{25} - 42331 \, x^{23} - 31130 \, x^{21} + 31720 \, x^{19} + 16182 \, x^{17} - 13119 \, x^{15} - 4170 \, x^{13} + 2868 \, x^{11} + 542 \, x^{9} - 323 \, x^{7} - 35 \, x^{5} + 20 \, x^{3} - x\right)}\right)} + 36 \cdot 12^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{43} + 37 \, x^{41} + 60 \, x^{39} - 464 \, x^{37} - 953 \, x^{35} + 2094 \, x^{33} + 4501 \, x^{31} - 5092 \, x^{29} - 10456 \, x^{27} + 7721 \, x^{25} + 13692 \, x^{23} - 7721 \, x^{21} - 10456 \, x^{19} + 5092 \, x^{17} + 4501 \, x^{15} - 2094 \, x^{13} - 953 \, x^{11} + 464 \, x^{9} + 60 \, x^{7} - 37 \, x^{5} + 2 \, x^{3}\right)} - 3 \, \sqrt{2} {\left(x^{43} + 21 \, x^{41} + 55 \, x^{39} - 205 \, x^{37} - 667 \, x^{35} + 728 \, x^{33} + 2835 \, x^{31} - 1397 \, x^{29} - 6231 \, x^{27} + 1797 \, x^{25} + 8014 \, x^{23} - 1797 \, x^{21} - 6231 \, x^{19} + 1397 \, x^{17} + 2835 \, x^{15} - 728 \, x^{13} - 667 \, x^{11} + 205 \, x^{9} + 55 \, x^{7} - 21 \, x^{5} + x^{3}\right)}\right)}\right)} \sqrt{\sqrt{3} + 2} - \sqrt{3} {\left(24 \, {\left(216 \, x^{41} + 1944 \, x^{39} + 4536 \, x^{37} - 6696 \, x^{35} - 35640 \, x^{33} - 3888 \, x^{31} + 105192 \, x^{29} + 44712 \, x^{27} - 171072 \, x^{25} - 72144 \, x^{23} + 171072 \, x^{21} + 44712 \, x^{19} - 105192 \, x^{17} - 3888 \, x^{15} + 35640 \, x^{13} - 6696 \, x^{11} - 4536 \, x^{9} + 1944 \, x^{7} - 216 \, x^{5} + \sqrt{3} {\left(6 \, x^{43} + 72 \, x^{41} + 858 \, x^{39} + 3294 \, x^{37} - 1152 \, x^{35} - 23760 \, x^{33} - 14400 \, x^{31} + 68598 \, x^{29} + 54414 \, x^{27} - 110712 \, x^{25} - 79452 \, x^{23} + 110712 \, x^{21} + 54414 \, x^{19} - 68598 \, x^{17} - 14400 \, x^{15} + 23760 \, x^{13} - 1152 \, x^{11} - 3294 \, x^{9} + 858 \, x^{7} - 72 \, x^{5} + 6 \, x^{3} - \sqrt{3} {\left(x^{45} + 13 \, x^{43} - 62 \, x^{41} - 832 \, x^{39} - 1721 \, x^{37} + 3372 \, x^{35} + 12831 \, x^{33} - 2676 \, x^{31} - 37065 \, x^{29} - 6848 \, x^{27} + 59641 \, x^{25} + 13942 \, x^{23} - 59641 \, x^{21} - 6848 \, x^{19} + 37065 \, x^{17} - 2676 \, x^{15} - 12831 \, x^{13} + 3372 \, x^{11} + 1721 \, x^{9} - 832 \, x^{7} + 62 \, x^{5} + 13 \, x^{3} - x\right)}\right)} - 18 \, \sqrt{3} {\left(x^{43} + 10 \, x^{41} - 67 \, x^{39} - 355 \, x^{37} + 176 \, x^{35} + 2158 \, x^{33} + 400 \, x^{31} - 6023 \, x^{29} - 2137 \, x^{27} + 9674 \, x^{25} + 3254 \, x^{23} - 9674 \, x^{21} - 2137 \, x^{19} + 6023 \, x^{17} + 400 \, x^{15} - 2158 \, x^{13} + 176 \, x^{11} + 355 \, x^{9} - 67 \, x^{7} - 10 \, x^{5} + x^{3}\right)}\right)} \sqrt{x^{4} + x^{2} - 1} + {\left(12^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(x^{48} + 18 \, x^{46} - 3 \, x^{44} + 58 \, x^{42} + 3342 \, x^{40} + 8712 \, x^{38} - 18214 \, x^{36} - 67788 \, x^{34} + 36675 \, x^{32} + 214984 \, x^{30} - 35874 \, x^{28} - 367752 \, x^{26} + 28147 \, x^{24} + 367752 \, x^{22} - 35874 \, x^{20} - 214984 \, x^{18} + 36675 \, x^{16} + 67788 \, x^{14} - 18214 \, x^{12} - 8712 \, x^{10} + 3342 \, x^{8} - 58 \, x^{6} - 3 \, x^{4} - 18 \, x^{2} + 1\right)} - 3 \, \sqrt{2} {\left(x^{48} + 16 \, x^{46} - 31 \, x^{44} - 696 \, x^{42} - 1640 \, x^{40} + 1732 \, x^{38} + 9026 \, x^{36} + 3108 \, x^{34} - 16143 \, x^{32} - 16316 \, x^{30} + 9658 \, x^{28} + 27416 \, x^{26} - 1743 \, x^{24} - 27416 \, x^{22} + 9658 \, x^{20} + 16316 \, x^{18} - 16143 \, x^{16} - 3108 \, x^{14} + 9026 \, x^{12} - 1732 \, x^{10} - 1640 \, x^{8} + 696 \, x^{6} - 31 \, x^{4} - 16 \, x^{2} + 1\right)}\right)} + 36 \cdot 12^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(x^{46} + 21 \, x^{44} + 37 \, x^{42} - 36 \, x^{40} + 376 \, x^{38} + 666 \, x^{36} - 3516 \, x^{34} - 4890 \, x^{32} + 10920 \, x^{30} + 13636 \, x^{28} - 18156 \, x^{26} - 18794 \, x^{24} + 18156 \, x^{22} + 13636 \, x^{20} - 10920 \, x^{18} - 4890 \, x^{16} + 3516 \, x^{14} + 666 \, x^{12} - 376 \, x^{10} - 36 \, x^{8} - 37 \, x^{6} + 21 \, x^{4} - x^{2}\right)} - 3 \, \sqrt{2} {\left(x^{46} + 15 \, x^{44} - 29 \, x^{42} - 438 \, x^{40} - 338 \, x^{38} + 2664 \, x^{36} + 3204 \, x^{34} - 7680 \, x^{32} - 10338 \, x^{30} + 13366 \, x^{28} + 17610 \, x^{26} - 15854 \, x^{24} - 17610 \, x^{22} + 13366 \, x^{20} + 10338 \, x^{18} - 7680 \, x^{16} - 3204 \, x^{14} + 2664 \, x^{12} + 338 \, x^{10} - 438 \, x^{8} + 29 \, x^{6} + 15 \, x^{4} - x^{2}\right)}\right)}\right)} \sqrt{\sqrt{3} + 2}\right)} \sqrt{\frac{12 \, x^{6} + 12 \, x^{4} - 12^{\frac{1}{4}} \sqrt{x^{4} + x^{2} - 1} {\left(3 \, \sqrt{2} x^{3} + \sqrt{3} \sqrt{2} {\left(x^{5} + x^{3} - x\right)}\right)} \sqrt{\sqrt{3} + 2} - 12 \, x^{2} + \sqrt{3} {\left(x^{8} + 5 \, x^{6} + 5 \, x^{4} - 5 \, x^{2} + 1\right)}}{x^{8} - x^{6} - x^{4} + x^{2} + 1}} + 72 \, \sqrt{3} {\left(3 \, x^{46} + 51 \, x^{44} + 21 \, x^{42} - 1284 \, x^{40} - 2328 \, x^{38} + 8136 \, x^{36} + 18288 \, x^{34} - 23832 \, x^{32} - 60048 \, x^{30} + 41052 \, x^{28} + 104802 \, x^{26} - 48246 \, x^{24} - 104802 \, x^{22} + 41052 \, x^{20} + 60048 \, x^{18} - 23832 \, x^{16} - 18288 \, x^{14} + 8136 \, x^{12} + 2328 \, x^{10} - 1284 \, x^{8} - 21 \, x^{6} + 51 \, x^{4} - 3 \, x^{2} - \sqrt{3} {\left(x^{46} + 25 \, x^{44} + 103 \, x^{42} - 82 \, x^{40} - 908 \, x^{38} - 18 \, x^{36} + 3858 \, x^{34} + 522 \, x^{32} - 9636 \, x^{30} - 1046 \, x^{28} + 15022 \, x^{26} + 1198 \, x^{24} - 15022 \, x^{22} - 1046 \, x^{20} + 9636 \, x^{18} + 522 \, x^{16} - 3858 \, x^{14} - 18 \, x^{12} + 908 \, x^{10} - 82 \, x^{8} - 103 \, x^{6} + 25 \, x^{4} - x^{2}\right)}\right)} - 72 \, \sqrt{3} {\left(x^{46} + 35 \, x^{44} + 383 \, x^{42} - 14 \, x^{40} - 4664 \, x^{38} - 1596 \, x^{36} + 25464 \, x^{34} + 10866 \, x^{32} - 74448 \, x^{30} - 30740 \, x^{28} + 125294 \, x^{26} + 42896 \, x^{24} - 125294 \, x^{22} - 30740 \, x^{20} + 74448 \, x^{18} + 10866 \, x^{16} - 25464 \, x^{14} - 1596 \, x^{12} + 4664 \, x^{10} - 14 \, x^{8} - 383 \, x^{6} + 35 \, x^{4} - x^{2}\right)} + 36}{36 \, {\left(x^{48} + 18 \, x^{46} - 111 \, x^{44} - 2552 \, x^{42} - 3606 \, x^{40} + 27594 \, x^{38} + 53426 \, x^{36} - 113958 \, x^{34} - 252837 \, x^{32} + 250858 \, x^{30} + 592002 \, x^{28} - 353226 \, x^{26} - 777749 \, x^{24} + 353226 \, x^{22} + 592002 \, x^{20} - 250858 \, x^{18} - 252837 \, x^{16} + 113958 \, x^{14} + 53426 \, x^{12} - 27594 \, x^{10} - 3606 \, x^{8} + 2552 \, x^{6} - 111 \, x^{4} - 18 \, x^{2} + 1\right)}}\right) + \frac{1}{4} \cdot 12^{\frac{1}{4}} \sqrt{2} \sqrt{\sqrt{3} + 2} \arctan\left(\frac{36 \, x^{48} + 648 \, x^{46} + 108 \, x^{44} - 26208 \, x^{42} - 80784 \, x^{40} + 122472 \, x^{38} + 679176 \, x^{36} - 158760 \, x^{34} - 2555388 \, x^{32} - 118872 \, x^{30} + 5525496 \, x^{28} + 511704 \, x^{26} - 7137036 \, x^{24} - 511704 \, x^{22} + 5525496 \, x^{20} + 118872 \, x^{18} - 2555388 \, x^{16} + 158760 \, x^{14} + 679176 \, x^{12} - 122472 \, x^{10} - 80784 \, x^{8} + 26208 \, x^{6} + 108 \, x^{4} - 648 \, x^{2} - 6 \, \sqrt{x^{4} + x^{2} - 1} {\left(12^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{45} + 37 \, x^{43} + 31 \, x^{41} - 895 \, x^{39} - 1651 \, x^{37} + 6780 \, x^{35} + 13803 \, x^{33} - 25689 \, x^{31} - 50211 \, x^{29} + 55250 \, x^{27} + 92893 \, x^{25} - 70967 \, x^{23} - 92893 \, x^{21} + 55250 \, x^{19} + 50211 \, x^{17} - 25689 \, x^{15} - 13803 \, x^{13} + 6780 \, x^{11} + 1651 \, x^{9} - 895 \, x^{7} - 31 \, x^{5} + 37 \, x^{3} - 2 \, x\right)} - 3 \, \sqrt{2} {\left(x^{45} + 20 \, x^{43} + 35 \, x^{41} - 323 \, x^{39} - 542 \, x^{37} + 2868 \, x^{35} + 4170 \, x^{33} - 13119 \, x^{31} - 16182 \, x^{29} + 31720 \, x^{27} + 31130 \, x^{25} - 42331 \, x^{23} - 31130 \, x^{21} + 31720 \, x^{19} + 16182 \, x^{17} - 13119 \, x^{15} - 4170 \, x^{13} + 2868 \, x^{11} + 542 \, x^{9} - 323 \, x^{7} - 35 \, x^{5} + 20 \, x^{3} - x\right)}\right)} + 36 \cdot 12^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{43} + 37 \, x^{41} + 60 \, x^{39} - 464 \, x^{37} - 953 \, x^{35} + 2094 \, x^{33} + 4501 \, x^{31} - 5092 \, x^{29} - 10456 \, x^{27} + 7721 \, x^{25} + 13692 \, x^{23} - 7721 \, x^{21} - 10456 \, x^{19} + 5092 \, x^{17} + 4501 \, x^{15} - 2094 \, x^{13} - 953 \, x^{11} + 464 \, x^{9} + 60 \, x^{7} - 37 \, x^{5} + 2 \, x^{3}\right)} - 3 \, \sqrt{2} {\left(x^{43} + 21 \, x^{41} + 55 \, x^{39} - 205 \, x^{37} - 667 \, x^{35} + 728 \, x^{33} + 2835 \, x^{31} - 1397 \, x^{29} - 6231 \, x^{27} + 1797 \, x^{25} + 8014 \, x^{23} - 1797 \, x^{21} - 6231 \, x^{19} + 1397 \, x^{17} + 2835 \, x^{15} - 728 \, x^{13} - 667 \, x^{11} + 205 \, x^{9} + 55 \, x^{7} - 21 \, x^{5} + x^{3}\right)}\right)}\right)} \sqrt{\sqrt{3} + 2} - \sqrt{3} {\left(24 \, {\left(216 \, x^{41} + 1944 \, x^{39} + 4536 \, x^{37} - 6696 \, x^{35} - 35640 \, x^{33} - 3888 \, x^{31} + 105192 \, x^{29} + 44712 \, x^{27} - 171072 \, x^{25} - 72144 \, x^{23} + 171072 \, x^{21} + 44712 \, x^{19} - 105192 \, x^{17} - 3888 \, x^{15} + 35640 \, x^{13} - 6696 \, x^{11} - 4536 \, x^{9} + 1944 \, x^{7} - 216 \, x^{5} + \sqrt{3} {\left(6 \, x^{43} + 72 \, x^{41} + 858 \, x^{39} + 3294 \, x^{37} - 1152 \, x^{35} - 23760 \, x^{33} - 14400 \, x^{31} + 68598 \, x^{29} + 54414 \, x^{27} - 110712 \, x^{25} - 79452 \, x^{23} + 110712 \, x^{21} + 54414 \, x^{19} - 68598 \, x^{17} - 14400 \, x^{15} + 23760 \, x^{13} - 1152 \, x^{11} - 3294 \, x^{9} + 858 \, x^{7} - 72 \, x^{5} + 6 \, x^{3} - \sqrt{3} {\left(x^{45} + 13 \, x^{43} - 62 \, x^{41} - 832 \, x^{39} - 1721 \, x^{37} + 3372 \, x^{35} + 12831 \, x^{33} - 2676 \, x^{31} - 37065 \, x^{29} - 6848 \, x^{27} + 59641 \, x^{25} + 13942 \, x^{23} - 59641 \, x^{21} - 6848 \, x^{19} + 37065 \, x^{17} - 2676 \, x^{15} - 12831 \, x^{13} + 3372 \, x^{11} + 1721 \, x^{9} - 832 \, x^{7} + 62 \, x^{5} + 13 \, x^{3} - x\right)}\right)} - 18 \, \sqrt{3} {\left(x^{43} + 10 \, x^{41} - 67 \, x^{39} - 355 \, x^{37} + 176 \, x^{35} + 2158 \, x^{33} + 400 \, x^{31} - 6023 \, x^{29} - 2137 \, x^{27} + 9674 \, x^{25} + 3254 \, x^{23} - 9674 \, x^{21} - 2137 \, x^{19} + 6023 \, x^{17} + 400 \, x^{15} - 2158 \, x^{13} + 176 \, x^{11} + 355 \, x^{9} - 67 \, x^{7} - 10 \, x^{5} + x^{3}\right)}\right)} \sqrt{x^{4} + x^{2} - 1} - {\left(12^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(x^{48} + 18 \, x^{46} - 3 \, x^{44} + 58 \, x^{42} + 3342 \, x^{40} + 8712 \, x^{38} - 18214 \, x^{36} - 67788 \, x^{34} + 36675 \, x^{32} + 214984 \, x^{30} - 35874 \, x^{28} - 367752 \, x^{26} + 28147 \, x^{24} + 367752 \, x^{22} - 35874 \, x^{20} - 214984 \, x^{18} + 36675 \, x^{16} + 67788 \, x^{14} - 18214 \, x^{12} - 8712 \, x^{10} + 3342 \, x^{8} - 58 \, x^{6} - 3 \, x^{4} - 18 \, x^{2} + 1\right)} - 3 \, \sqrt{2} {\left(x^{48} + 16 \, x^{46} - 31 \, x^{44} - 696 \, x^{42} - 1640 \, x^{40} + 1732 \, x^{38} + 9026 \, x^{36} + 3108 \, x^{34} - 16143 \, x^{32} - 16316 \, x^{30} + 9658 \, x^{28} + 27416 \, x^{26} - 1743 \, x^{24} - 27416 \, x^{22} + 9658 \, x^{20} + 16316 \, x^{18} - 16143 \, x^{16} - 3108 \, x^{14} + 9026 \, x^{12} - 1732 \, x^{10} - 1640 \, x^{8} + 696 \, x^{6} - 31 \, x^{4} - 16 \, x^{2} + 1\right)}\right)} + 36 \cdot 12^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(x^{46} + 21 \, x^{44} + 37 \, x^{42} - 36 \, x^{40} + 376 \, x^{38} + 666 \, x^{36} - 3516 \, x^{34} - 4890 \, x^{32} + 10920 \, x^{30} + 13636 \, x^{28} - 18156 \, x^{26} - 18794 \, x^{24} + 18156 \, x^{22} + 13636 \, x^{20} - 10920 \, x^{18} - 4890 \, x^{16} + 3516 \, x^{14} + 666 \, x^{12} - 376 \, x^{10} - 36 \, x^{8} - 37 \, x^{6} + 21 \, x^{4} - x^{2}\right)} - 3 \, \sqrt{2} {\left(x^{46} + 15 \, x^{44} - 29 \, x^{42} - 438 \, x^{40} - 338 \, x^{38} + 2664 \, x^{36} + 3204 \, x^{34} - 7680 \, x^{32} - 10338 \, x^{30} + 13366 \, x^{28} + 17610 \, x^{26} - 15854 \, x^{24} - 17610 \, x^{22} + 13366 \, x^{20} + 10338 \, x^{18} - 7680 \, x^{16} - 3204 \, x^{14} + 2664 \, x^{12} + 338 \, x^{10} - 438 \, x^{8} + 29 \, x^{6} + 15 \, x^{4} - x^{2}\right)}\right)}\right)} \sqrt{\sqrt{3} + 2}\right)} \sqrt{\frac{12 \, x^{6} + 12 \, x^{4} + 12^{\frac{1}{4}} \sqrt{x^{4} + x^{2} - 1} {\left(3 \, \sqrt{2} x^{3} + \sqrt{3} \sqrt{2} {\left(x^{5} + x^{3} - x\right)}\right)} \sqrt{\sqrt{3} + 2} - 12 \, x^{2} + \sqrt{3} {\left(x^{8} + 5 \, x^{6} + 5 \, x^{4} - 5 \, x^{2} + 1\right)}}{x^{8} - x^{6} - x^{4} + x^{2} + 1}} + 72 \, \sqrt{3} {\left(3 \, x^{46} + 51 \, x^{44} + 21 \, x^{42} - 1284 \, x^{40} - 2328 \, x^{38} + 8136 \, x^{36} + 18288 \, x^{34} - 23832 \, x^{32} - 60048 \, x^{30} + 41052 \, x^{28} + 104802 \, x^{26} - 48246 \, x^{24} - 104802 \, x^{22} + 41052 \, x^{20} + 60048 \, x^{18} - 23832 \, x^{16} - 18288 \, x^{14} + 8136 \, x^{12} + 2328 \, x^{10} - 1284 \, x^{8} - 21 \, x^{6} + 51 \, x^{4} - 3 \, x^{2} - \sqrt{3} {\left(x^{46} + 25 \, x^{44} + 103 \, x^{42} - 82 \, x^{40} - 908 \, x^{38} - 18 \, x^{36} + 3858 \, x^{34} + 522 \, x^{32} - 9636 \, x^{30} - 1046 \, x^{28} + 15022 \, x^{26} + 1198 \, x^{24} - 15022 \, x^{22} - 1046 \, x^{20} + 9636 \, x^{18} + 522 \, x^{16} - 3858 \, x^{14} - 18 \, x^{12} + 908 \, x^{10} - 82 \, x^{8} - 103 \, x^{6} + 25 \, x^{4} - x^{2}\right)}\right)} - 72 \, \sqrt{3} {\left(x^{46} + 35 \, x^{44} + 383 \, x^{42} - 14 \, x^{40} - 4664 \, x^{38} - 1596 \, x^{36} + 25464 \, x^{34} + 10866 \, x^{32} - 74448 \, x^{30} - 30740 \, x^{28} + 125294 \, x^{26} + 42896 \, x^{24} - 125294 \, x^{22} - 30740 \, x^{20} + 74448 \, x^{18} + 10866 \, x^{16} - 25464 \, x^{14} - 1596 \, x^{12} + 4664 \, x^{10} - 14 \, x^{8} - 383 \, x^{6} + 35 \, x^{4} - x^{2}\right)} + 36}{36 \, {\left(x^{48} + 18 \, x^{46} - 111 \, x^{44} - 2552 \, x^{42} - 3606 \, x^{40} + 27594 \, x^{38} + 53426 \, x^{36} - 113958 \, x^{34} - 252837 \, x^{32} + 250858 \, x^{30} + 592002 \, x^{28} - 353226 \, x^{26} - 777749 \, x^{24} + 353226 \, x^{22} + 592002 \, x^{20} - 250858 \, x^{18} - 252837 \, x^{16} + 113958 \, x^{14} + 53426 \, x^{12} - 27594 \, x^{10} - 3606 \, x^{8} + 2552 \, x^{6} - 111 \, x^{4} - 18 \, x^{2} + 1\right)}}\right) + \frac{1}{2} \, \log\left(-\frac{x^{4} + 2 \, x^{2} - 2 \, \sqrt{x^{4} + x^{2} - 1} x - 1}{x^{4} - 1}\right)"," ",0,"-1/16*12^(1/4)*(sqrt(3)*sqrt(2) - 2*sqrt(2))*sqrt(sqrt(3) + 2)*log(48*(12*x^6 + 12*x^4 + 12^(1/4)*sqrt(x^4 + x^2 - 1)*(3*sqrt(2)*x^3 + sqrt(3)*sqrt(2)*(x^5 + x^3 - x))*sqrt(sqrt(3) + 2) - 12*x^2 + sqrt(3)*(x^8 + 5*x^6 + 5*x^4 - 5*x^2 + 1))/(x^8 - x^6 - x^4 + x^2 + 1)) + 1/16*12^(1/4)*(sqrt(3)*sqrt(2) - 2*sqrt(2))*sqrt(sqrt(3) + 2)*log(48*(12*x^6 + 12*x^4 - 12^(1/4)*sqrt(x^4 + x^2 - 1)*(3*sqrt(2)*x^3 + sqrt(3)*sqrt(2)*(x^5 + x^3 - x))*sqrt(sqrt(3) + 2) - 12*x^2 + sqrt(3)*(x^8 + 5*x^6 + 5*x^4 - 5*x^2 + 1))/(x^8 - x^6 - x^4 + x^2 + 1)) + 1/4*12^(1/4)*sqrt(2)*sqrt(sqrt(3) + 2)*arctan(-1/36*(36*x^48 + 648*x^46 + 108*x^44 - 26208*x^42 - 80784*x^40 + 122472*x^38 + 679176*x^36 - 158760*x^34 - 2555388*x^32 - 118872*x^30 + 5525496*x^28 + 511704*x^26 - 7137036*x^24 - 511704*x^22 + 5525496*x^20 + 118872*x^18 - 2555388*x^16 + 158760*x^14 + 679176*x^12 - 122472*x^10 - 80784*x^8 + 26208*x^6 + 108*x^4 - 648*x^2 + 6*sqrt(x^4 + x^2 - 1)*(12^(3/4)*(sqrt(3)*sqrt(2)*(2*x^45 + 37*x^43 + 31*x^41 - 895*x^39 - 1651*x^37 + 6780*x^35 + 13803*x^33 - 25689*x^31 - 50211*x^29 + 55250*x^27 + 92893*x^25 - 70967*x^23 - 92893*x^21 + 55250*x^19 + 50211*x^17 - 25689*x^15 - 13803*x^13 + 6780*x^11 + 1651*x^9 - 895*x^7 - 31*x^5 + 37*x^3 - 2*x) - 3*sqrt(2)*(x^45 + 20*x^43 + 35*x^41 - 323*x^39 - 542*x^37 + 2868*x^35 + 4170*x^33 - 13119*x^31 - 16182*x^29 + 31720*x^27 + 31130*x^25 - 42331*x^23 - 31130*x^21 + 31720*x^19 + 16182*x^17 - 13119*x^15 - 4170*x^13 + 2868*x^11 + 542*x^9 - 323*x^7 - 35*x^5 + 20*x^3 - x)) + 36*12^(1/4)*(sqrt(3)*sqrt(2)*(2*x^43 + 37*x^41 + 60*x^39 - 464*x^37 - 953*x^35 + 2094*x^33 + 4501*x^31 - 5092*x^29 - 10456*x^27 + 7721*x^25 + 13692*x^23 - 7721*x^21 - 10456*x^19 + 5092*x^17 + 4501*x^15 - 2094*x^13 - 953*x^11 + 464*x^9 + 60*x^7 - 37*x^5 + 2*x^3) - 3*sqrt(2)*(x^43 + 21*x^41 + 55*x^39 - 205*x^37 - 667*x^35 + 728*x^33 + 2835*x^31 - 1397*x^29 - 6231*x^27 + 1797*x^25 + 8014*x^23 - 1797*x^21 - 6231*x^19 + 1397*x^17 + 2835*x^15 - 728*x^13 - 667*x^11 + 205*x^9 + 55*x^7 - 21*x^5 + x^3)))*sqrt(sqrt(3) + 2) - sqrt(3)*(24*(216*x^41 + 1944*x^39 + 4536*x^37 - 6696*x^35 - 35640*x^33 - 3888*x^31 + 105192*x^29 + 44712*x^27 - 171072*x^25 - 72144*x^23 + 171072*x^21 + 44712*x^19 - 105192*x^17 - 3888*x^15 + 35640*x^13 - 6696*x^11 - 4536*x^9 + 1944*x^7 - 216*x^5 + sqrt(3)*(6*x^43 + 72*x^41 + 858*x^39 + 3294*x^37 - 1152*x^35 - 23760*x^33 - 14400*x^31 + 68598*x^29 + 54414*x^27 - 110712*x^25 - 79452*x^23 + 110712*x^21 + 54414*x^19 - 68598*x^17 - 14400*x^15 + 23760*x^13 - 1152*x^11 - 3294*x^9 + 858*x^7 - 72*x^5 + 6*x^3 - sqrt(3)*(x^45 + 13*x^43 - 62*x^41 - 832*x^39 - 1721*x^37 + 3372*x^35 + 12831*x^33 - 2676*x^31 - 37065*x^29 - 6848*x^27 + 59641*x^25 + 13942*x^23 - 59641*x^21 - 6848*x^19 + 37065*x^17 - 2676*x^15 - 12831*x^13 + 3372*x^11 + 1721*x^9 - 832*x^7 + 62*x^5 + 13*x^3 - x)) - 18*sqrt(3)*(x^43 + 10*x^41 - 67*x^39 - 355*x^37 + 176*x^35 + 2158*x^33 + 400*x^31 - 6023*x^29 - 2137*x^27 + 9674*x^25 + 3254*x^23 - 9674*x^21 - 2137*x^19 + 6023*x^17 + 400*x^15 - 2158*x^13 + 176*x^11 + 355*x^9 - 67*x^7 - 10*x^5 + x^3))*sqrt(x^4 + x^2 - 1) + (12^(3/4)*(sqrt(3)*sqrt(2)*(x^48 + 18*x^46 - 3*x^44 + 58*x^42 + 3342*x^40 + 8712*x^38 - 18214*x^36 - 67788*x^34 + 36675*x^32 + 214984*x^30 - 35874*x^28 - 367752*x^26 + 28147*x^24 + 367752*x^22 - 35874*x^20 - 214984*x^18 + 36675*x^16 + 67788*x^14 - 18214*x^12 - 8712*x^10 + 3342*x^8 - 58*x^6 - 3*x^4 - 18*x^2 + 1) - 3*sqrt(2)*(x^48 + 16*x^46 - 31*x^44 - 696*x^42 - 1640*x^40 + 1732*x^38 + 9026*x^36 + 3108*x^34 - 16143*x^32 - 16316*x^30 + 9658*x^28 + 27416*x^26 - 1743*x^24 - 27416*x^22 + 9658*x^20 + 16316*x^18 - 16143*x^16 - 3108*x^14 + 9026*x^12 - 1732*x^10 - 1640*x^8 + 696*x^6 - 31*x^4 - 16*x^2 + 1)) + 36*12^(1/4)*(sqrt(3)*sqrt(2)*(x^46 + 21*x^44 + 37*x^42 - 36*x^40 + 376*x^38 + 666*x^36 - 3516*x^34 - 4890*x^32 + 10920*x^30 + 13636*x^28 - 18156*x^26 - 18794*x^24 + 18156*x^22 + 13636*x^20 - 10920*x^18 - 4890*x^16 + 3516*x^14 + 666*x^12 - 376*x^10 - 36*x^8 - 37*x^6 + 21*x^4 - x^2) - 3*sqrt(2)*(x^46 + 15*x^44 - 29*x^42 - 438*x^40 - 338*x^38 + 2664*x^36 + 3204*x^34 - 7680*x^32 - 10338*x^30 + 13366*x^28 + 17610*x^26 - 15854*x^24 - 17610*x^22 + 13366*x^20 + 10338*x^18 - 7680*x^16 - 3204*x^14 + 2664*x^12 + 338*x^10 - 438*x^8 + 29*x^6 + 15*x^4 - x^2)))*sqrt(sqrt(3) + 2))*sqrt((12*x^6 + 12*x^4 - 12^(1/4)*sqrt(x^4 + x^2 - 1)*(3*sqrt(2)*x^3 + sqrt(3)*sqrt(2)*(x^5 + x^3 - x))*sqrt(sqrt(3) + 2) - 12*x^2 + sqrt(3)*(x^8 + 5*x^6 + 5*x^4 - 5*x^2 + 1))/(x^8 - x^6 - x^4 + x^2 + 1)) + 72*sqrt(3)*(3*x^46 + 51*x^44 + 21*x^42 - 1284*x^40 - 2328*x^38 + 8136*x^36 + 18288*x^34 - 23832*x^32 - 60048*x^30 + 41052*x^28 + 104802*x^26 - 48246*x^24 - 104802*x^22 + 41052*x^20 + 60048*x^18 - 23832*x^16 - 18288*x^14 + 8136*x^12 + 2328*x^10 - 1284*x^8 - 21*x^6 + 51*x^4 - 3*x^2 - sqrt(3)*(x^46 + 25*x^44 + 103*x^42 - 82*x^40 - 908*x^38 - 18*x^36 + 3858*x^34 + 522*x^32 - 9636*x^30 - 1046*x^28 + 15022*x^26 + 1198*x^24 - 15022*x^22 - 1046*x^20 + 9636*x^18 + 522*x^16 - 3858*x^14 - 18*x^12 + 908*x^10 - 82*x^8 - 103*x^6 + 25*x^4 - x^2)) - 72*sqrt(3)*(x^46 + 35*x^44 + 383*x^42 - 14*x^40 - 4664*x^38 - 1596*x^36 + 25464*x^34 + 10866*x^32 - 74448*x^30 - 30740*x^28 + 125294*x^26 + 42896*x^24 - 125294*x^22 - 30740*x^20 + 74448*x^18 + 10866*x^16 - 25464*x^14 - 1596*x^12 + 4664*x^10 - 14*x^8 - 383*x^6 + 35*x^4 - x^2) + 36)/(x^48 + 18*x^46 - 111*x^44 - 2552*x^42 - 3606*x^40 + 27594*x^38 + 53426*x^36 - 113958*x^34 - 252837*x^32 + 250858*x^30 + 592002*x^28 - 353226*x^26 - 777749*x^24 + 353226*x^22 + 592002*x^20 - 250858*x^18 - 252837*x^16 + 113958*x^14 + 53426*x^12 - 27594*x^10 - 3606*x^8 + 2552*x^6 - 111*x^4 - 18*x^2 + 1)) + 1/4*12^(1/4)*sqrt(2)*sqrt(sqrt(3) + 2)*arctan(1/36*(36*x^48 + 648*x^46 + 108*x^44 - 26208*x^42 - 80784*x^40 + 122472*x^38 + 679176*x^36 - 158760*x^34 - 2555388*x^32 - 118872*x^30 + 5525496*x^28 + 511704*x^26 - 7137036*x^24 - 511704*x^22 + 5525496*x^20 + 118872*x^18 - 2555388*x^16 + 158760*x^14 + 679176*x^12 - 122472*x^10 - 80784*x^8 + 26208*x^6 + 108*x^4 - 648*x^2 - 6*sqrt(x^4 + x^2 - 1)*(12^(3/4)*(sqrt(3)*sqrt(2)*(2*x^45 + 37*x^43 + 31*x^41 - 895*x^39 - 1651*x^37 + 6780*x^35 + 13803*x^33 - 25689*x^31 - 50211*x^29 + 55250*x^27 + 92893*x^25 - 70967*x^23 - 92893*x^21 + 55250*x^19 + 50211*x^17 - 25689*x^15 - 13803*x^13 + 6780*x^11 + 1651*x^9 - 895*x^7 - 31*x^5 + 37*x^3 - 2*x) - 3*sqrt(2)*(x^45 + 20*x^43 + 35*x^41 - 323*x^39 - 542*x^37 + 2868*x^35 + 4170*x^33 - 13119*x^31 - 16182*x^29 + 31720*x^27 + 31130*x^25 - 42331*x^23 - 31130*x^21 + 31720*x^19 + 16182*x^17 - 13119*x^15 - 4170*x^13 + 2868*x^11 + 542*x^9 - 323*x^7 - 35*x^5 + 20*x^3 - x)) + 36*12^(1/4)*(sqrt(3)*sqrt(2)*(2*x^43 + 37*x^41 + 60*x^39 - 464*x^37 - 953*x^35 + 2094*x^33 + 4501*x^31 - 5092*x^29 - 10456*x^27 + 7721*x^25 + 13692*x^23 - 7721*x^21 - 10456*x^19 + 5092*x^17 + 4501*x^15 - 2094*x^13 - 953*x^11 + 464*x^9 + 60*x^7 - 37*x^5 + 2*x^3) - 3*sqrt(2)*(x^43 + 21*x^41 + 55*x^39 - 205*x^37 - 667*x^35 + 728*x^33 + 2835*x^31 - 1397*x^29 - 6231*x^27 + 1797*x^25 + 8014*x^23 - 1797*x^21 - 6231*x^19 + 1397*x^17 + 2835*x^15 - 728*x^13 - 667*x^11 + 205*x^9 + 55*x^7 - 21*x^5 + x^3)))*sqrt(sqrt(3) + 2) - sqrt(3)*(24*(216*x^41 + 1944*x^39 + 4536*x^37 - 6696*x^35 - 35640*x^33 - 3888*x^31 + 105192*x^29 + 44712*x^27 - 171072*x^25 - 72144*x^23 + 171072*x^21 + 44712*x^19 - 105192*x^17 - 3888*x^15 + 35640*x^13 - 6696*x^11 - 4536*x^9 + 1944*x^7 - 216*x^5 + sqrt(3)*(6*x^43 + 72*x^41 + 858*x^39 + 3294*x^37 - 1152*x^35 - 23760*x^33 - 14400*x^31 + 68598*x^29 + 54414*x^27 - 110712*x^25 - 79452*x^23 + 110712*x^21 + 54414*x^19 - 68598*x^17 - 14400*x^15 + 23760*x^13 - 1152*x^11 - 3294*x^9 + 858*x^7 - 72*x^5 + 6*x^3 - sqrt(3)*(x^45 + 13*x^43 - 62*x^41 - 832*x^39 - 1721*x^37 + 3372*x^35 + 12831*x^33 - 2676*x^31 - 37065*x^29 - 6848*x^27 + 59641*x^25 + 13942*x^23 - 59641*x^21 - 6848*x^19 + 37065*x^17 - 2676*x^15 - 12831*x^13 + 3372*x^11 + 1721*x^9 - 832*x^7 + 62*x^5 + 13*x^3 - x)) - 18*sqrt(3)*(x^43 + 10*x^41 - 67*x^39 - 355*x^37 + 176*x^35 + 2158*x^33 + 400*x^31 - 6023*x^29 - 2137*x^27 + 9674*x^25 + 3254*x^23 - 9674*x^21 - 2137*x^19 + 6023*x^17 + 400*x^15 - 2158*x^13 + 176*x^11 + 355*x^9 - 67*x^7 - 10*x^5 + x^3))*sqrt(x^4 + x^2 - 1) - (12^(3/4)*(sqrt(3)*sqrt(2)*(x^48 + 18*x^46 - 3*x^44 + 58*x^42 + 3342*x^40 + 8712*x^38 - 18214*x^36 - 67788*x^34 + 36675*x^32 + 214984*x^30 - 35874*x^28 - 367752*x^26 + 28147*x^24 + 367752*x^22 - 35874*x^20 - 214984*x^18 + 36675*x^16 + 67788*x^14 - 18214*x^12 - 8712*x^10 + 3342*x^8 - 58*x^6 - 3*x^4 - 18*x^2 + 1) - 3*sqrt(2)*(x^48 + 16*x^46 - 31*x^44 - 696*x^42 - 1640*x^40 + 1732*x^38 + 9026*x^36 + 3108*x^34 - 16143*x^32 - 16316*x^30 + 9658*x^28 + 27416*x^26 - 1743*x^24 - 27416*x^22 + 9658*x^20 + 16316*x^18 - 16143*x^16 - 3108*x^14 + 9026*x^12 - 1732*x^10 - 1640*x^8 + 696*x^6 - 31*x^4 - 16*x^2 + 1)) + 36*12^(1/4)*(sqrt(3)*sqrt(2)*(x^46 + 21*x^44 + 37*x^42 - 36*x^40 + 376*x^38 + 666*x^36 - 3516*x^34 - 4890*x^32 + 10920*x^30 + 13636*x^28 - 18156*x^26 - 18794*x^24 + 18156*x^22 + 13636*x^20 - 10920*x^18 - 4890*x^16 + 3516*x^14 + 666*x^12 - 376*x^10 - 36*x^8 - 37*x^6 + 21*x^4 - x^2) - 3*sqrt(2)*(x^46 + 15*x^44 - 29*x^42 - 438*x^40 - 338*x^38 + 2664*x^36 + 3204*x^34 - 7680*x^32 - 10338*x^30 + 13366*x^28 + 17610*x^26 - 15854*x^24 - 17610*x^22 + 13366*x^20 + 10338*x^18 - 7680*x^16 - 3204*x^14 + 2664*x^12 + 338*x^10 - 438*x^8 + 29*x^6 + 15*x^4 - x^2)))*sqrt(sqrt(3) + 2))*sqrt((12*x^6 + 12*x^4 + 12^(1/4)*sqrt(x^4 + x^2 - 1)*(3*sqrt(2)*x^3 + sqrt(3)*sqrt(2)*(x^5 + x^3 - x))*sqrt(sqrt(3) + 2) - 12*x^2 + sqrt(3)*(x^8 + 5*x^6 + 5*x^4 - 5*x^2 + 1))/(x^8 - x^6 - x^4 + x^2 + 1)) + 72*sqrt(3)*(3*x^46 + 51*x^44 + 21*x^42 - 1284*x^40 - 2328*x^38 + 8136*x^36 + 18288*x^34 - 23832*x^32 - 60048*x^30 + 41052*x^28 + 104802*x^26 - 48246*x^24 - 104802*x^22 + 41052*x^20 + 60048*x^18 - 23832*x^16 - 18288*x^14 + 8136*x^12 + 2328*x^10 - 1284*x^8 - 21*x^6 + 51*x^4 - 3*x^2 - sqrt(3)*(x^46 + 25*x^44 + 103*x^42 - 82*x^40 - 908*x^38 - 18*x^36 + 3858*x^34 + 522*x^32 - 9636*x^30 - 1046*x^28 + 15022*x^26 + 1198*x^24 - 15022*x^22 - 1046*x^20 + 9636*x^18 + 522*x^16 - 3858*x^14 - 18*x^12 + 908*x^10 - 82*x^8 - 103*x^6 + 25*x^4 - x^2)) - 72*sqrt(3)*(x^46 + 35*x^44 + 383*x^42 - 14*x^40 - 4664*x^38 - 1596*x^36 + 25464*x^34 + 10866*x^32 - 74448*x^30 - 30740*x^28 + 125294*x^26 + 42896*x^24 - 125294*x^22 - 30740*x^20 + 74448*x^18 + 10866*x^16 - 25464*x^14 - 1596*x^12 + 4664*x^10 - 14*x^8 - 383*x^6 + 35*x^4 - x^2) + 36)/(x^48 + 18*x^46 - 111*x^44 - 2552*x^42 - 3606*x^40 + 27594*x^38 + 53426*x^36 - 113958*x^34 - 252837*x^32 + 250858*x^30 + 592002*x^28 - 353226*x^26 - 777749*x^24 + 353226*x^22 + 592002*x^20 - 250858*x^18 - 252837*x^16 + 113958*x^14 + 53426*x^12 - 27594*x^10 - 3606*x^8 + 2552*x^6 - 111*x^4 - 18*x^2 + 1)) + 1/2*log(-(x^4 + 2*x^2 - 2*sqrt(x^4 + x^2 - 1)*x - 1)/(x^4 - 1))","B",0
1866,1,322,0,11.142622," ","integrate((x^6-1)*(x^6+x^3+1)^(2/3)/(x^12+x^6+1),x, algorithm=""fricas"")","-\frac{1}{18} \, \sqrt{6} 2^{\frac{1}{6}} \arctan\left(\frac{2^{\frac{1}{6}} {\left(6 \, \sqrt{6} 2^{\frac{2}{3}} {\left(x^{13} + 16 \, x^{10} + 21 \, x^{7} + 16 \, x^{4} + x\right)} {\left(x^{6} + x^{3} + 1\right)}^{\frac{2}{3}} - \sqrt{6} 2^{\frac{1}{3}} {\left(x^{18} - 21 \, x^{15} - 102 \, x^{12} - 133 \, x^{9} - 102 \, x^{6} - 21 \, x^{3} + 1\right)} - 24 \, \sqrt{6} {\left(x^{14} + x^{11} + x^{5} + x^{2}\right)} {\left(x^{6} + x^{3} + 1\right)}^{\frac{1}{3}}\right)}}{6 \, {\left(x^{18} + 51 \, x^{15} + 114 \, x^{12} + 155 \, x^{9} + 114 \, x^{6} + 51 \, x^{3} + 1\right)}}\right) + \frac{1}{18} \cdot 2^{\frac{2}{3}} \log\left(-\frac{3 \cdot 2^{\frac{2}{3}} {\left(x^{6} + x^{3} + 1\right)}^{\frac{2}{3}} x - 6 \, {\left(x^{6} + x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 2^{\frac{1}{3}} {\left(x^{6} - x^{3} + 1\right)}}{x^{6} - x^{3} + 1}\right) - \frac{1}{36} \cdot 2^{\frac{2}{3}} \log\left(\frac{2^{\frac{2}{3}} {\left(x^{12} + 16 \, x^{9} + 21 \, x^{6} + 16 \, x^{3} + 1\right)} + 12 \cdot 2^{\frac{1}{3}} {\left(x^{8} + 2 \, x^{5} + x^{2}\right)} {\left(x^{6} + x^{3} + 1\right)}^{\frac{1}{3}} + 6 \, {\left(x^{7} + 5 \, x^{4} + x\right)} {\left(x^{6} + x^{3} + 1\right)}^{\frac{2}{3}}}{x^{12} - 2 \, x^{9} + 3 \, x^{6} - 2 \, x^{3} + 1}\right)"," ",0,"-1/18*sqrt(6)*2^(1/6)*arctan(1/6*2^(1/6)*(6*sqrt(6)*2^(2/3)*(x^13 + 16*x^10 + 21*x^7 + 16*x^4 + x)*(x^6 + x^3 + 1)^(2/3) - sqrt(6)*2^(1/3)*(x^18 - 21*x^15 - 102*x^12 - 133*x^9 - 102*x^6 - 21*x^3 + 1) - 24*sqrt(6)*(x^14 + x^11 + x^5 + x^2)*(x^6 + x^3 + 1)^(1/3))/(x^18 + 51*x^15 + 114*x^12 + 155*x^9 + 114*x^6 + 51*x^3 + 1)) + 1/18*2^(2/3)*log(-(3*2^(2/3)*(x^6 + x^3 + 1)^(2/3)*x - 6*(x^6 + x^3 + 1)^(1/3)*x^2 - 2^(1/3)*(x^6 - x^3 + 1))/(x^6 - x^3 + 1)) - 1/36*2^(2/3)*log((2^(2/3)*(x^12 + 16*x^9 + 21*x^6 + 16*x^3 + 1) + 12*2^(1/3)*(x^8 + 2*x^5 + x^2)*(x^6 + x^3 + 1)^(1/3) + 6*(x^7 + 5*x^4 + x)*(x^6 + x^3 + 1)^(2/3))/(x^12 - 2*x^9 + 3*x^6 - 2*x^3 + 1))","B",0
1867,1,105,0,0.574219," ","integrate((x^3-1)^3*(x^3+1)*(2*x^12+3*x^6+2)^(1/2)/x^7/(x^6+1),x, algorithm=""fricas"")","\frac{\sqrt{2} x^{6} \log\left(-\frac{4 \, x^{12} + 7 \, x^{6} - 2 \, \sqrt{2} \sqrt{2 \, x^{12} + 3 \, x^{6} + 2} {\left(x^{6} + 1\right)} + 4}{x^{6}}\right) - 16 \, x^{6} \arctan\left(\frac{x^{3}}{\sqrt{2 \, x^{12} + 3 \, x^{6} + 2}}\right) + 4 \, \sqrt{2 \, x^{12} + 3 \, x^{6} + 2} {\left(x^{6} - 4 \, x^{3} + 1\right)}}{24 \, x^{6}}"," ",0,"1/24*(sqrt(2)*x^6*log(-(4*x^12 + 7*x^6 - 2*sqrt(2)*sqrt(2*x^12 + 3*x^6 + 2)*(x^6 + 1) + 4)/x^6) - 16*x^6*arctan(x^3/sqrt(2*x^12 + 3*x^6 + 2)) + 4*sqrt(2*x^12 + 3*x^6 + 2)*(x^6 - 4*x^3 + 1))/x^6","A",0
1868,-1,0,0,0.000000," ","integrate((a*x-(a^2*x^2+b)^(1/2))^(1/2)/(a^2*x^2+(a^2*x^2+b)^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1869,1,98,0,0.452449," ","integrate((c*x+d)/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(3 \, a^{3} c x^{3} + 5 \, a^{3} d x^{2} + a b^{2} c x - 5 \, a b^{2} d - {\left(3 \, a^{2} c x^{2} + 5 \, a^{2} d x + 2 \, b^{2} c\right)} \sqrt{a^{2} x^{2} + b^{2}}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}{15 \, a^{2} b^{2}}"," ",0,"-2/15*(3*a^3*c*x^3 + 5*a^3*d*x^2 + a*b^2*c*x - 5*a*b^2*d - (3*a^2*c*x^2 + 5*a^2*d*x + 2*b^2*c)*sqrt(a^2*x^2 + b^2))*sqrt(a*x + sqrt(a^2*x^2 + b^2))/(a^2*b^2)","A",0
1870,1,43,0,0.458235," ","integrate(1/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{8}{105} \, {\left({\left(15 \, \sqrt{x + 1} + 4\right)} \sqrt{\sqrt{x + 1} + 1} - 18 \, \sqrt{x + 1} + 4\right)} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}"," ",0,"8/105*((15*sqrt(x + 1) + 4)*sqrt(sqrt(x + 1) + 1) - 18*sqrt(x + 1) + 4)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)","A",0
1871,1,114,0,71.029326," ","integrate((a*x^2-b)*(x^3+x)^(1/3)/x^2,x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} {\left(a - 3 \, b\right)} x \arctan\left(-\frac{196 \, \sqrt{3} {\left(x^{3} + x\right)}^{\frac{1}{3}} x - \sqrt{3} {\left(539 \, x^{2} + 507\right)} - 1274 \, \sqrt{3} {\left(x^{3} + x\right)}^{\frac{2}{3}}}{2205 \, x^{2} + 2197}\right) + {\left(a - 3 \, b\right)} x \log\left(3 \, {\left(x^{3} + x\right)}^{\frac{1}{3}} x - 3 \, {\left(x^{3} + x\right)}^{\frac{2}{3}} + 1\right) - 6 \, {\left(a x^{2} + 3 \, b\right)} {\left(x^{3} + x\right)}^{\frac{1}{3}}}{12 \, x}"," ",0,"-1/12*(2*sqrt(3)*(a - 3*b)*x*arctan(-(196*sqrt(3)*(x^3 + x)^(1/3)*x - sqrt(3)*(539*x^2 + 507) - 1274*sqrt(3)*(x^3 + x)^(2/3))/(2205*x^2 + 2197)) + (a - 3*b)*x*log(3*(x^3 + x)^(1/3)*x - 3*(x^3 + x)^(2/3) + 1) - 6*(a*x^2 + 3*b)*(x^3 + x)^(1/3))/x","A",0
1872,-1,0,0,0.000000," ","integrate(1/x^3/(a*x^3-b*x^2)^(1/3)/(c*x^3+d),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1873,1,2368,0,0.989932," ","integrate((x^4-1)/(x^3-x^2-x)^(1/2)/(x^4+1),x, algorithm=""fricas"")","-\frac{1}{24} \cdot 3^{\frac{1}{4}} \sqrt{\sqrt{3} + 3} {\left(\sqrt{3} - 1\right)} \log\left(\frac{3 \, {\left(3 \, x^{4} - 12 \, x^{3} + 2 \cdot 3^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(3 \, x^{2} - \sqrt{3} {\left(x^{2} - 4 \, x - 1\right)} - 6 \, x - 3\right)} \sqrt{\sqrt{3} + 3} + 12 \, x^{2} + 12 \, \sqrt{3} {\left(x^{3} - x^{2} - x\right)} + 12 \, x + 3\right)}}{x^{4} + 1}\right) + \frac{1}{24} \cdot 3^{\frac{1}{4}} \sqrt{\sqrt{3} + 3} {\left(\sqrt{3} - 1\right)} \log\left(\frac{3 \, {\left(3 \, x^{4} - 12 \, x^{3} - 2 \cdot 3^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(3 \, x^{2} - \sqrt{3} {\left(x^{2} - 4 \, x - 1\right)} - 6 \, x - 3\right)} \sqrt{\sqrt{3} + 3} + 12 \, x^{2} + 12 \, \sqrt{3} {\left(x^{3} - x^{2} - x\right)} + 12 \, x + 3\right)}}{x^{4} + 1}\right) - \frac{1}{6} \cdot 3^{\frac{1}{4}} \sqrt{2} \sqrt{\sqrt{3} + 3} \arctan\left(-\frac{18 \, \sqrt{3} \sqrt{2} {\left(x^{11} - 3 \, x^{10} - 3 \, x^{9} + 8 \, x^{8} + 4 \, x^{7} - 6 \, x^{6} - 4 \, x^{5} + 8 \, x^{4} + 3 \, x^{3} - 3 \, x^{2} - x\right)} + 3 \, \sqrt{x^{3} - x^{2} - x} {\left(3^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(x^{10} - 4 \, x^{9} - 9 \, x^{8} + 36 \, x^{7} + 26 \, x^{6} - 72 \, x^{5} - 26 \, x^{4} + 36 \, x^{3} + 9 \, x^{2} - 4 \, x - 1\right)} - \sqrt{2} {\left(x^{10} + 2 \, x^{9} - 29 \, x^{8} + 12 \, x^{7} + 110 \, x^{6} - 28 \, x^{5} - 110 \, x^{4} + 12 \, x^{3} + 29 \, x^{2} + 2 \, x - 1\right)}\right)} + 4 \cdot 3^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{9} + 3 \, x^{8} - 5 \, x^{7} - 23 \, x^{6} + 12 \, x^{5} + 23 \, x^{4} - 5 \, x^{3} - 3 \, x^{2} + 2 \, x\right)} - 3 \, \sqrt{2} {\left(x^{9} + 4 \, x^{8} - 11 \, x^{7} - 8 \, x^{6} + 18 \, x^{5} + 8 \, x^{4} - 11 \, x^{3} - 4 \, x^{2} + x\right)}\right)}\right)} \sqrt{\sqrt{3} + 3} - \sqrt{3} {\left(24 \, \sqrt{3} \sqrt{2} {\left(x^{10} + 2 \, x^{9} - 13 \, x^{8} + 2 \, x^{7} + 22 \, x^{6} - 2 \, x^{5} - 13 \, x^{4} - 2 \, x^{3} + x^{2}\right)} + \sqrt{x^{3} - x^{2} - x} {\left(3^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(x^{10} - 6 \, x^{9} - 9 \, x^{8} + 68 \, x^{7} - 38 \, x^{6} - 108 \, x^{5} + 38 \, x^{4} + 68 \, x^{3} + 9 \, x^{2} - 6 \, x - 1\right)} - \sqrt{2} {\left(x^{10} - 4 \, x^{9} - 5 \, x^{8} + 84 \, x^{7} - 106 \, x^{6} - 136 \, x^{5} + 106 \, x^{4} + 84 \, x^{3} + 5 \, x^{2} - 4 \, x - 1\right)}\right)} + 4 \cdot 3^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{9} - 3 \, x^{8} - 23 \, x^{7} + 31 \, x^{6} + 36 \, x^{5} - 31 \, x^{4} - 23 \, x^{3} + 3 \, x^{2} + 2 \, x\right)} - 3 \, \sqrt{2} {\left(x^{9} - 15 \, x^{7} + 12 \, x^{6} + 26 \, x^{5} - 12 \, x^{4} - 15 \, x^{3} + x\right)}\right)}\right)} \sqrt{\sqrt{3} + 3} - 48 \, \sqrt{2} {\left(x^{10} - 7 \, x^{8} + 2 \, x^{7} + 12 \, x^{6} - 2 \, x^{5} - 7 \, x^{4} + x^{2}\right)} + 2 \, \sqrt{3} {\left(\sqrt{3} \sqrt{2} {\left(x^{11} - x^{10} - 17 \, x^{9} + 48 \, x^{8} + 2 \, x^{7} - 82 \, x^{6} - 2 \, x^{5} + 48 \, x^{4} + 17 \, x^{3} - x^{2} - x\right)} - 3 \, \sqrt{2} {\left(x^{11} - 5 \, x^{10} - 9 \, x^{9} + 52 \, x^{8} - 6 \, x^{7} - 90 \, x^{6} + 6 \, x^{5} + 52 \, x^{4} + 9 \, x^{3} - 5 \, x^{2} - x\right)}\right)}\right)} \sqrt{\frac{3 \, x^{4} - 12 \, x^{3} + 2 \cdot 3^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(3 \, x^{2} - \sqrt{3} {\left(x^{2} - 4 \, x - 1\right)} - 6 \, x - 3\right)} \sqrt{\sqrt{3} + 3} + 12 \, x^{2} + 12 \, \sqrt{3} {\left(x^{3} - x^{2} - x\right)} + 12 \, x + 3}{x^{4} + 1}} - 18 \, \sqrt{2} {\left(x^{11} + 5 \, x^{10} - 35 \, x^{9} + 116 \, x^{7} - 22 \, x^{6} - 116 \, x^{5} + 35 \, x^{3} + 5 \, x^{2} - x\right)} + 6 \, \sqrt{3} {\left(\sqrt{3} \sqrt{2} {\left(x^{11} + 5 \, x^{10} - 35 \, x^{9} + 116 \, x^{7} - 22 \, x^{6} - 116 \, x^{5} + 35 \, x^{3} + 5 \, x^{2} - x\right)} - 3 \, \sqrt{2} {\left(x^{11} - 3 \, x^{10} - 3 \, x^{9} + 8 \, x^{8} + 4 \, x^{7} - 6 \, x^{6} - 4 \, x^{5} + 8 \, x^{4} + 3 \, x^{3} - 3 \, x^{2} - x\right)}\right)}}{36 \, {\left(x^{11} - 9 \, x^{10} - 17 \, x^{9} + 104 \, x^{8} - 14 \, x^{7} - 178 \, x^{6} + 14 \, x^{5} + 104 \, x^{4} + 17 \, x^{3} - 9 \, x^{2} - x\right)}}\right) - \frac{1}{6} \cdot 3^{\frac{1}{4}} \sqrt{2} \sqrt{\sqrt{3} + 3} \arctan\left(\frac{18 \, \sqrt{3} \sqrt{2} {\left(x^{11} - 3 \, x^{10} - 3 \, x^{9} + 8 \, x^{8} + 4 \, x^{7} - 6 \, x^{6} - 4 \, x^{5} + 8 \, x^{4} + 3 \, x^{3} - 3 \, x^{2} - x\right)} - 3 \, \sqrt{x^{3} - x^{2} - x} {\left(3^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(x^{10} - 4 \, x^{9} - 9 \, x^{8} + 36 \, x^{7} + 26 \, x^{6} - 72 \, x^{5} - 26 \, x^{4} + 36 \, x^{3} + 9 \, x^{2} - 4 \, x - 1\right)} - \sqrt{2} {\left(x^{10} + 2 \, x^{9} - 29 \, x^{8} + 12 \, x^{7} + 110 \, x^{6} - 28 \, x^{5} - 110 \, x^{4} + 12 \, x^{3} + 29 \, x^{2} + 2 \, x - 1\right)}\right)} + 4 \cdot 3^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{9} + 3 \, x^{8} - 5 \, x^{7} - 23 \, x^{6} + 12 \, x^{5} + 23 \, x^{4} - 5 \, x^{3} - 3 \, x^{2} + 2 \, x\right)} - 3 \, \sqrt{2} {\left(x^{9} + 4 \, x^{8} - 11 \, x^{7} - 8 \, x^{6} + 18 \, x^{5} + 8 \, x^{4} - 11 \, x^{3} - 4 \, x^{2} + x\right)}\right)}\right)} \sqrt{\sqrt{3} + 3} - \sqrt{3} {\left(24 \, \sqrt{3} \sqrt{2} {\left(x^{10} + 2 \, x^{9} - 13 \, x^{8} + 2 \, x^{7} + 22 \, x^{6} - 2 \, x^{5} - 13 \, x^{4} - 2 \, x^{3} + x^{2}\right)} - \sqrt{x^{3} - x^{2} - x} {\left(3^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(x^{10} - 6 \, x^{9} - 9 \, x^{8} + 68 \, x^{7} - 38 \, x^{6} - 108 \, x^{5} + 38 \, x^{4} + 68 \, x^{3} + 9 \, x^{2} - 6 \, x - 1\right)} - \sqrt{2} {\left(x^{10} - 4 \, x^{9} - 5 \, x^{8} + 84 \, x^{7} - 106 \, x^{6} - 136 \, x^{5} + 106 \, x^{4} + 84 \, x^{3} + 5 \, x^{2} - 4 \, x - 1\right)}\right)} + 4 \cdot 3^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{9} - 3 \, x^{8} - 23 \, x^{7} + 31 \, x^{6} + 36 \, x^{5} - 31 \, x^{4} - 23 \, x^{3} + 3 \, x^{2} + 2 \, x\right)} - 3 \, \sqrt{2} {\left(x^{9} - 15 \, x^{7} + 12 \, x^{6} + 26 \, x^{5} - 12 \, x^{4} - 15 \, x^{3} + x\right)}\right)}\right)} \sqrt{\sqrt{3} + 3} - 48 \, \sqrt{2} {\left(x^{10} - 7 \, x^{8} + 2 \, x^{7} + 12 \, x^{6} - 2 \, x^{5} - 7 \, x^{4} + x^{2}\right)} + 2 \, \sqrt{3} {\left(\sqrt{3} \sqrt{2} {\left(x^{11} - x^{10} - 17 \, x^{9} + 48 \, x^{8} + 2 \, x^{7} - 82 \, x^{6} - 2 \, x^{5} + 48 \, x^{4} + 17 \, x^{3} - x^{2} - x\right)} - 3 \, \sqrt{2} {\left(x^{11} - 5 \, x^{10} - 9 \, x^{9} + 52 \, x^{8} - 6 \, x^{7} - 90 \, x^{6} + 6 \, x^{5} + 52 \, x^{4} + 9 \, x^{3} - 5 \, x^{2} - x\right)}\right)}\right)} \sqrt{\frac{3 \, x^{4} - 12 \, x^{3} - 2 \cdot 3^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(3 \, x^{2} - \sqrt{3} {\left(x^{2} - 4 \, x - 1\right)} - 6 \, x - 3\right)} \sqrt{\sqrt{3} + 3} + 12 \, x^{2} + 12 \, \sqrt{3} {\left(x^{3} - x^{2} - x\right)} + 12 \, x + 3}{x^{4} + 1}} - 18 \, \sqrt{2} {\left(x^{11} + 5 \, x^{10} - 35 \, x^{9} + 116 \, x^{7} - 22 \, x^{6} - 116 \, x^{5} + 35 \, x^{3} + 5 \, x^{2} - x\right)} + 6 \, \sqrt{3} {\left(\sqrt{3} \sqrt{2} {\left(x^{11} + 5 \, x^{10} - 35 \, x^{9} + 116 \, x^{7} - 22 \, x^{6} - 116 \, x^{5} + 35 \, x^{3} + 5 \, x^{2} - x\right)} - 3 \, \sqrt{2} {\left(x^{11} - 3 \, x^{10} - 3 \, x^{9} + 8 \, x^{8} + 4 \, x^{7} - 6 \, x^{6} - 4 \, x^{5} + 8 \, x^{4} + 3 \, x^{3} - 3 \, x^{2} - x\right)}\right)}}{36 \, {\left(x^{11} - 9 \, x^{10} - 17 \, x^{9} + 104 \, x^{8} - 14 \, x^{7} - 178 \, x^{6} + 14 \, x^{5} + 104 \, x^{4} + 17 \, x^{3} - 9 \, x^{2} - x\right)}}\right)"," ",0,"-1/24*3^(1/4)*sqrt(sqrt(3) + 3)*(sqrt(3) - 1)*log(3*(3*x^4 - 12*x^3 + 2*3^(1/4)*sqrt(x^3 - x^2 - x)*(3*x^2 - sqrt(3)*(x^2 - 4*x - 1) - 6*x - 3)*sqrt(sqrt(3) + 3) + 12*x^2 + 12*sqrt(3)*(x^3 - x^2 - x) + 12*x + 3)/(x^4 + 1)) + 1/24*3^(1/4)*sqrt(sqrt(3) + 3)*(sqrt(3) - 1)*log(3*(3*x^4 - 12*x^3 - 2*3^(1/4)*sqrt(x^3 - x^2 - x)*(3*x^2 - sqrt(3)*(x^2 - 4*x - 1) - 6*x - 3)*sqrt(sqrt(3) + 3) + 12*x^2 + 12*sqrt(3)*(x^3 - x^2 - x) + 12*x + 3)/(x^4 + 1)) - 1/6*3^(1/4)*sqrt(2)*sqrt(sqrt(3) + 3)*arctan(-1/36*(18*sqrt(3)*sqrt(2)*(x^11 - 3*x^10 - 3*x^9 + 8*x^8 + 4*x^7 - 6*x^6 - 4*x^5 + 8*x^4 + 3*x^3 - 3*x^2 - x) + 3*sqrt(x^3 - x^2 - x)*(3^(3/4)*(sqrt(3)*sqrt(2)*(x^10 - 4*x^9 - 9*x^8 + 36*x^7 + 26*x^6 - 72*x^5 - 26*x^4 + 36*x^3 + 9*x^2 - 4*x - 1) - sqrt(2)*(x^10 + 2*x^9 - 29*x^8 + 12*x^7 + 110*x^6 - 28*x^5 - 110*x^4 + 12*x^3 + 29*x^2 + 2*x - 1)) + 4*3^(1/4)*(sqrt(3)*sqrt(2)*(2*x^9 + 3*x^8 - 5*x^7 - 23*x^6 + 12*x^5 + 23*x^4 - 5*x^3 - 3*x^2 + 2*x) - 3*sqrt(2)*(x^9 + 4*x^8 - 11*x^7 - 8*x^6 + 18*x^5 + 8*x^4 - 11*x^3 - 4*x^2 + x)))*sqrt(sqrt(3) + 3) - sqrt(3)*(24*sqrt(3)*sqrt(2)*(x^10 + 2*x^9 - 13*x^8 + 2*x^7 + 22*x^6 - 2*x^5 - 13*x^4 - 2*x^3 + x^2) + sqrt(x^3 - x^2 - x)*(3^(3/4)*(sqrt(3)*sqrt(2)*(x^10 - 6*x^9 - 9*x^8 + 68*x^7 - 38*x^6 - 108*x^5 + 38*x^4 + 68*x^3 + 9*x^2 - 6*x - 1) - sqrt(2)*(x^10 - 4*x^9 - 5*x^8 + 84*x^7 - 106*x^6 - 136*x^5 + 106*x^4 + 84*x^3 + 5*x^2 - 4*x - 1)) + 4*3^(1/4)*(sqrt(3)*sqrt(2)*(2*x^9 - 3*x^8 - 23*x^7 + 31*x^6 + 36*x^5 - 31*x^4 - 23*x^3 + 3*x^2 + 2*x) - 3*sqrt(2)*(x^9 - 15*x^7 + 12*x^6 + 26*x^5 - 12*x^4 - 15*x^3 + x)))*sqrt(sqrt(3) + 3) - 48*sqrt(2)*(x^10 - 7*x^8 + 2*x^7 + 12*x^6 - 2*x^5 - 7*x^4 + x^2) + 2*sqrt(3)*(sqrt(3)*sqrt(2)*(x^11 - x^10 - 17*x^9 + 48*x^8 + 2*x^7 - 82*x^6 - 2*x^5 + 48*x^4 + 17*x^3 - x^2 - x) - 3*sqrt(2)*(x^11 - 5*x^10 - 9*x^9 + 52*x^8 - 6*x^7 - 90*x^6 + 6*x^5 + 52*x^4 + 9*x^3 - 5*x^2 - x)))*sqrt((3*x^4 - 12*x^3 + 2*3^(1/4)*sqrt(x^3 - x^2 - x)*(3*x^2 - sqrt(3)*(x^2 - 4*x - 1) - 6*x - 3)*sqrt(sqrt(3) + 3) + 12*x^2 + 12*sqrt(3)*(x^3 - x^2 - x) + 12*x + 3)/(x^4 + 1)) - 18*sqrt(2)*(x^11 + 5*x^10 - 35*x^9 + 116*x^7 - 22*x^6 - 116*x^5 + 35*x^3 + 5*x^2 - x) + 6*sqrt(3)*(sqrt(3)*sqrt(2)*(x^11 + 5*x^10 - 35*x^9 + 116*x^7 - 22*x^6 - 116*x^5 + 35*x^3 + 5*x^2 - x) - 3*sqrt(2)*(x^11 - 3*x^10 - 3*x^9 + 8*x^8 + 4*x^7 - 6*x^6 - 4*x^5 + 8*x^4 + 3*x^3 - 3*x^2 - x)))/(x^11 - 9*x^10 - 17*x^9 + 104*x^8 - 14*x^7 - 178*x^6 + 14*x^5 + 104*x^4 + 17*x^3 - 9*x^2 - x)) - 1/6*3^(1/4)*sqrt(2)*sqrt(sqrt(3) + 3)*arctan(1/36*(18*sqrt(3)*sqrt(2)*(x^11 - 3*x^10 - 3*x^9 + 8*x^8 + 4*x^7 - 6*x^6 - 4*x^5 + 8*x^4 + 3*x^3 - 3*x^2 - x) - 3*sqrt(x^3 - x^2 - x)*(3^(3/4)*(sqrt(3)*sqrt(2)*(x^10 - 4*x^9 - 9*x^8 + 36*x^7 + 26*x^6 - 72*x^5 - 26*x^4 + 36*x^3 + 9*x^2 - 4*x - 1) - sqrt(2)*(x^10 + 2*x^9 - 29*x^8 + 12*x^7 + 110*x^6 - 28*x^5 - 110*x^4 + 12*x^3 + 29*x^2 + 2*x - 1)) + 4*3^(1/4)*(sqrt(3)*sqrt(2)*(2*x^9 + 3*x^8 - 5*x^7 - 23*x^6 + 12*x^5 + 23*x^4 - 5*x^3 - 3*x^2 + 2*x) - 3*sqrt(2)*(x^9 + 4*x^8 - 11*x^7 - 8*x^6 + 18*x^5 + 8*x^4 - 11*x^3 - 4*x^2 + x)))*sqrt(sqrt(3) + 3) - sqrt(3)*(24*sqrt(3)*sqrt(2)*(x^10 + 2*x^9 - 13*x^8 + 2*x^7 + 22*x^6 - 2*x^5 - 13*x^4 - 2*x^3 + x^2) - sqrt(x^3 - x^2 - x)*(3^(3/4)*(sqrt(3)*sqrt(2)*(x^10 - 6*x^9 - 9*x^8 + 68*x^7 - 38*x^6 - 108*x^5 + 38*x^4 + 68*x^3 + 9*x^2 - 6*x - 1) - sqrt(2)*(x^10 - 4*x^9 - 5*x^8 + 84*x^7 - 106*x^6 - 136*x^5 + 106*x^4 + 84*x^3 + 5*x^2 - 4*x - 1)) + 4*3^(1/4)*(sqrt(3)*sqrt(2)*(2*x^9 - 3*x^8 - 23*x^7 + 31*x^6 + 36*x^5 - 31*x^4 - 23*x^3 + 3*x^2 + 2*x) - 3*sqrt(2)*(x^9 - 15*x^7 + 12*x^6 + 26*x^5 - 12*x^4 - 15*x^3 + x)))*sqrt(sqrt(3) + 3) - 48*sqrt(2)*(x^10 - 7*x^8 + 2*x^7 + 12*x^6 - 2*x^5 - 7*x^4 + x^2) + 2*sqrt(3)*(sqrt(3)*sqrt(2)*(x^11 - x^10 - 17*x^9 + 48*x^8 + 2*x^7 - 82*x^6 - 2*x^5 + 48*x^4 + 17*x^3 - x^2 - x) - 3*sqrt(2)*(x^11 - 5*x^10 - 9*x^9 + 52*x^8 - 6*x^7 - 90*x^6 + 6*x^5 + 52*x^4 + 9*x^3 - 5*x^2 - x)))*sqrt((3*x^4 - 12*x^3 - 2*3^(1/4)*sqrt(x^3 - x^2 - x)*(3*x^2 - sqrt(3)*(x^2 - 4*x - 1) - 6*x - 3)*sqrt(sqrt(3) + 3) + 12*x^2 + 12*sqrt(3)*(x^3 - x^2 - x) + 12*x + 3)/(x^4 + 1)) - 18*sqrt(2)*(x^11 + 5*x^10 - 35*x^9 + 116*x^7 - 22*x^6 - 116*x^5 + 35*x^3 + 5*x^2 - x) + 6*sqrt(3)*(sqrt(3)*sqrt(2)*(x^11 + 5*x^10 - 35*x^9 + 116*x^7 - 22*x^6 - 116*x^5 + 35*x^3 + 5*x^2 - x) - 3*sqrt(2)*(x^11 - 3*x^10 - 3*x^9 + 8*x^8 + 4*x^7 - 6*x^6 - 4*x^5 + 8*x^4 + 3*x^3 - 3*x^2 - x)))/(x^11 - 9*x^10 - 17*x^9 + 104*x^8 - 14*x^7 - 178*x^6 + 14*x^5 + 104*x^4 + 17*x^3 - 9*x^2 - x))","B",0
1874,1,139,0,0.522632," ","integrate((x^6+9*x^5+16*x^4-27*x^3-36*x^2-11*x-1)^(1/2),x, algorithm=""fricas"")","\frac{569 \, x^{2} + 2600 \, {\left(x^{2} + 5 \, x + 1\right)} \log\left(-\frac{2 \, x^{3} + 9 \, x^{2} - 3 \, x - 2 \, \sqrt{x^{6} + 9 \, x^{5} + 16 \, x^{4} - 27 \, x^{3} - 36 \, x^{2} - 11 \, x - 1} - 1}{x^{2} + 5 \, x + 1}\right) + 16 \, \sqrt{x^{6} + 9 \, x^{5} + 16 \, x^{4} - 27 \, x^{3} - 36 \, x^{2} - 11 \, x - 1} {\left(16 \, x^{3} + 104 \, x^{2} - 6 \, x - 185\right)} + 2845 \, x + 569}{1024 \, {\left(x^{2} + 5 \, x + 1\right)}}"," ",0,"1/1024*(569*x^2 + 2600*(x^2 + 5*x + 1)*log(-(2*x^3 + 9*x^2 - 3*x - 2*sqrt(x^6 + 9*x^5 + 16*x^4 - 27*x^3 - 36*x^2 - 11*x - 1) - 1)/(x^2 + 5*x + 1)) + 16*sqrt(x^6 + 9*x^5 + 16*x^4 - 27*x^3 - 36*x^2 - 11*x - 1)*(16*x^3 + 104*x^2 - 6*x - 185) + 2845*x + 569)/(x^2 + 5*x + 1)","A",0
1875,-1,0,0,0.000000," ","integrate((2*p*x^3-q)*(a*p*x^3+a*q+b*x)*(p^2*x^6+2*p*q*x^3-2*p*q*x^2+q^2)^(1/2)/x^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1876,1,255,0,0.604750," ","integrate((2*x^8-x^4-2)/(x^4-1)^(1/4)/(x^8-x^4-2),x, algorithm=""fricas"")","-\frac{1}{6} \cdot 8^{\frac{3}{4}} \arctan\left(\frac{8^{\frac{3}{4}} \sqrt{2} x \sqrt{\frac{\sqrt{2} x^{2} + 2 \, \sqrt{x^{4} - 1}}{x^{2}}} - 2 \cdot 8^{\frac{3}{4}} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{8 \, x}\right) - \frac{1}{6} \cdot 2^{\frac{3}{4}} \arctan\left(\frac{2^{\frac{3}{4}} x \sqrt{\frac{\sqrt{2} x^{2} + \sqrt{x^{4} - 1}}{x^{2}}} - 2^{\frac{3}{4}} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{2 \, x}\right) - \frac{1}{24} \cdot 8^{\frac{3}{4}} \log\left(\frac{8^{\frac{1}{4}} x + 2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{24} \cdot 8^{\frac{3}{4}} \log\left(-\frac{8^{\frac{1}{4}} x - 2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{24} \cdot 2^{\frac{3}{4}} \log\left(\frac{2^{\frac{1}{4}} x + {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{24} \cdot 2^{\frac{3}{4}} \log\left(-\frac{2^{\frac{1}{4}} x - {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) - \arctan\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \log\left(\frac{x + {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \log\left(-\frac{x - {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-1/6*8^(3/4)*arctan(1/8*(8^(3/4)*sqrt(2)*x*sqrt((sqrt(2)*x^2 + 2*sqrt(x^4 - 1))/x^2) - 2*8^(3/4)*(x^4 - 1)^(1/4))/x) - 1/6*2^(3/4)*arctan(1/2*(2^(3/4)*x*sqrt((sqrt(2)*x^2 + sqrt(x^4 - 1))/x^2) - 2^(3/4)*(x^4 - 1)^(1/4))/x) - 1/24*8^(3/4)*log((8^(1/4)*x + 2*(x^4 - 1)^(1/4))/x) + 1/24*8^(3/4)*log(-(8^(1/4)*x - 2*(x^4 - 1)^(1/4))/x) - 1/24*2^(3/4)*log((2^(1/4)*x + (x^4 - 1)^(1/4))/x) + 1/24*2^(3/4)*log(-(2^(1/4)*x - (x^4 - 1)^(1/4))/x) - arctan((x^4 - 1)^(1/4)/x) + 1/2*log((x + (x^4 - 1)^(1/4))/x) - 1/2*log(-(x - (x^4 - 1)^(1/4))/x)","B",0
1877,-1,0,0,0.000000," ","integrate((x^4-1)*(1+(1+x)^(1/2))^(1/2)/(x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1878,-1,0,0,0.000000," ","integrate((x^4-1)*(1+(1+x)^(1/2))^(1/2)/(x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1879,1,1139,0,74.412389," ","integrate((a*x^2+b)*(a*x^3+b*x)^(1/2)/x^2/(a*x^2-b),x, algorithm=""fricas"")","-\frac{4 \cdot 4^{\frac{1}{4}} \left(a b\right)^{\frac{1}{4}} x \arctan\left(-\frac{\sqrt{2} \sqrt{20 \, a^{4} b + 44 \, a^{3} b^{2} + 8 \, a^{2} b^{3} + {\left(4 \, a^{4} + 41 \, a^{3} b + 26 \, a^{2} b^{2} + a b^{3}\right)} \sqrt{a b}} {\left(4^{\frac{3}{4}} {\left({\left(a^{3} + 2 \, a^{2} b\right)} x^{4} - 2 \, {\left(5 \, a^{2} b + a b^{2}\right)} x^{3} + a b^{2} + 2 \, b^{3} + 6 \, {\left(a^{2} b + 2 \, a b^{2}\right)} x^{2} - 2 \, {\left(5 \, a b^{2} + b^{3}\right)} x\right)} \left(a b\right)^{\frac{3}{4}} - 4^{\frac{1}{4}} {\left({\left(5 \, a^{3} b + a^{2} b^{2}\right)} x^{4} + 5 \, a b^{3} + b^{4} - 8 \, {\left(a^{3} b + 2 \, a^{2} b^{2}\right)} x^{3} + 6 \, {\left(5 \, a^{2} b^{2} + a b^{3}\right)} x^{2} - 8 \, {\left(a^{2} b^{2} + 2 \, a b^{3}\right)} x\right)} \left(a b\right)^{\frac{1}{4}}\right)} + 4 \, \sqrt{a x^{3} + b x} {\left(4^{\frac{3}{4}} {\left(4 \, a^{4} b - 9 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - a b^{4}\right)} \left(a b\right)^{\frac{3}{4}} x + 4^{\frac{1}{4}} {\left(4 \, a^{4} b^{2} - 9 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - a b^{5} + {\left(4 \, a^{5} b - 9 \, a^{4} b^{2} + 6 \, a^{3} b^{3} - a^{2} b^{4}\right)} x^{2}\right)} \left(a b\right)^{\frac{1}{4}}\right)}}{2 \, {\left(4 \, a^{4} b^{3} - 9 \, a^{3} b^{4} + 6 \, a^{2} b^{5} - a b^{6} + {\left(4 \, a^{6} b - 9 \, a^{5} b^{2} + 6 \, a^{4} b^{3} - a^{3} b^{4}\right)} x^{4} - 2 \, {\left(4 \, a^{5} b^{2} - 9 \, a^{4} b^{3} + 6 \, a^{3} b^{4} - a^{2} b^{5}\right)} x^{2}\right)}}\right) + 4^{\frac{1}{4}} \left(a b\right)^{\frac{1}{4}} x \log\left(-\frac{4^{\frac{3}{4}} {\left({\left(5 \, a^{3} + a^{2} b\right)} x^{4} - 8 \, {\left(a^{3} + 2 \, a^{2} b\right)} x^{3} + 5 \, a b^{2} + b^{3} + 6 \, {\left(5 \, a^{2} b + a b^{2}\right)} x^{2} - 8 \, {\left(a^{2} b + 2 \, a b^{2}\right)} x\right)} \left(a b\right)^{\frac{3}{4}} + 8 \, {\left(5 \, a^{2} b^{2} + a b^{3} + {\left(5 \, a^{3} b + a^{2} b^{2}\right)} x^{2} - 4 \, {\left(a^{3} b + 2 \, a^{2} b^{2}\right)} x - 2 \, {\left(a^{2} b + 2 \, a b^{2} + {\left(a^{3} + 2 \, a^{2} b\right)} x^{2} - {\left(5 \, a^{2} b + a b^{2}\right)} x\right)} \sqrt{a b}\right)} \sqrt{a x^{3} + b x} - 4 \cdot 4^{\frac{1}{4}} {\left({\left(a^{4} + 2 \, a^{3} b\right)} x^{4} + a^{2} b^{2} + 2 \, a b^{3} - 2 \, {\left(5 \, a^{3} b + a^{2} b^{2}\right)} x^{3} + 6 \, {\left(a^{3} b + 2 \, a^{2} b^{2}\right)} x^{2} - 2 \, {\left(5 \, a^{2} b^{2} + a b^{3}\right)} x\right)} \left(a b\right)^{\frac{1}{4}}}{a^{2} x^{4} - 2 \, a b x^{2} + b^{2}}\right) - 4^{\frac{1}{4}} \left(a b\right)^{\frac{1}{4}} x \log\left(\frac{4^{\frac{3}{4}} {\left({\left(5 \, a^{3} + a^{2} b\right)} x^{4} - 8 \, {\left(a^{3} + 2 \, a^{2} b\right)} x^{3} + 5 \, a b^{2} + b^{3} + 6 \, {\left(5 \, a^{2} b + a b^{2}\right)} x^{2} - 8 \, {\left(a^{2} b + 2 \, a b^{2}\right)} x\right)} \left(a b\right)^{\frac{3}{4}} - 8 \, {\left(5 \, a^{2} b^{2} + a b^{3} + {\left(5 \, a^{3} b + a^{2} b^{2}\right)} x^{2} - 4 \, {\left(a^{3} b + 2 \, a^{2} b^{2}\right)} x - 2 \, {\left(a^{2} b + 2 \, a b^{2} + {\left(a^{3} + 2 \, a^{2} b\right)} x^{2} - {\left(5 \, a^{2} b + a b^{2}\right)} x\right)} \sqrt{a b}\right)} \sqrt{a x^{3} + b x} - 4 \cdot 4^{\frac{1}{4}} {\left({\left(a^{4} + 2 \, a^{3} b\right)} x^{4} + a^{2} b^{2} + 2 \, a b^{3} - 2 \, {\left(5 \, a^{3} b + a^{2} b^{2}\right)} x^{3} + 6 \, {\left(a^{3} b + 2 \, a^{2} b^{2}\right)} x^{2} - 2 \, {\left(5 \, a^{2} b^{2} + a b^{3}\right)} x\right)} \left(a b\right)^{\frac{1}{4}}}{a^{2} x^{4} - 2 \, a b x^{2} + b^{2}}\right) - 8 \, \sqrt{a x^{3} + b x}}{4 \, x}"," ",0,"-1/4*(4*4^(1/4)*(a*b)^(1/4)*x*arctan(-1/2*(sqrt(2)*sqrt(20*a^4*b + 44*a^3*b^2 + 8*a^2*b^3 + (4*a^4 + 41*a^3*b + 26*a^2*b^2 + a*b^3)*sqrt(a*b))*(4^(3/4)*((a^3 + 2*a^2*b)*x^4 - 2*(5*a^2*b + a*b^2)*x^3 + a*b^2 + 2*b^3 + 6*(a^2*b + 2*a*b^2)*x^2 - 2*(5*a*b^2 + b^3)*x)*(a*b)^(3/4) - 4^(1/4)*((5*a^3*b + a^2*b^2)*x^4 + 5*a*b^3 + b^4 - 8*(a^3*b + 2*a^2*b^2)*x^3 + 6*(5*a^2*b^2 + a*b^3)*x^2 - 8*(a^2*b^2 + 2*a*b^3)*x)*(a*b)^(1/4)) + 4*sqrt(a*x^3 + b*x)*(4^(3/4)*(4*a^4*b - 9*a^3*b^2 + 6*a^2*b^3 - a*b^4)*(a*b)^(3/4)*x + 4^(1/4)*(4*a^4*b^2 - 9*a^3*b^3 + 6*a^2*b^4 - a*b^5 + (4*a^5*b - 9*a^4*b^2 + 6*a^3*b^3 - a^2*b^4)*x^2)*(a*b)^(1/4)))/(4*a^4*b^3 - 9*a^3*b^4 + 6*a^2*b^5 - a*b^6 + (4*a^6*b - 9*a^5*b^2 + 6*a^4*b^3 - a^3*b^4)*x^4 - 2*(4*a^5*b^2 - 9*a^4*b^3 + 6*a^3*b^4 - a^2*b^5)*x^2)) + 4^(1/4)*(a*b)^(1/4)*x*log(-(4^(3/4)*((5*a^3 + a^2*b)*x^4 - 8*(a^3 + 2*a^2*b)*x^3 + 5*a*b^2 + b^3 + 6*(5*a^2*b + a*b^2)*x^2 - 8*(a^2*b + 2*a*b^2)*x)*(a*b)^(3/4) + 8*(5*a^2*b^2 + a*b^3 + (5*a^3*b + a^2*b^2)*x^2 - 4*(a^3*b + 2*a^2*b^2)*x - 2*(a^2*b + 2*a*b^2 + (a^3 + 2*a^2*b)*x^2 - (5*a^2*b + a*b^2)*x)*sqrt(a*b))*sqrt(a*x^3 + b*x) - 4*4^(1/4)*((a^4 + 2*a^3*b)*x^4 + a^2*b^2 + 2*a*b^3 - 2*(5*a^3*b + a^2*b^2)*x^3 + 6*(a^3*b + 2*a^2*b^2)*x^2 - 2*(5*a^2*b^2 + a*b^3)*x)*(a*b)^(1/4))/(a^2*x^4 - 2*a*b*x^2 + b^2)) - 4^(1/4)*(a*b)^(1/4)*x*log((4^(3/4)*((5*a^3 + a^2*b)*x^4 - 8*(a^3 + 2*a^2*b)*x^3 + 5*a*b^2 + b^3 + 6*(5*a^2*b + a*b^2)*x^2 - 8*(a^2*b + 2*a*b^2)*x)*(a*b)^(3/4) - 8*(5*a^2*b^2 + a*b^3 + (5*a^3*b + a^2*b^2)*x^2 - 4*(a^3*b + 2*a^2*b^2)*x - 2*(a^2*b + 2*a*b^2 + (a^3 + 2*a^2*b)*x^2 - (5*a^2*b + a*b^2)*x)*sqrt(a*b))*sqrt(a*x^3 + b*x) - 4*4^(1/4)*((a^4 + 2*a^3*b)*x^4 + a^2*b^2 + 2*a*b^3 - 2*(5*a^3*b + a^2*b^2)*x^3 + 6*(a^3*b + 2*a^2*b^2)*x^2 - 2*(5*a^2*b^2 + a*b^3)*x)*(a*b)^(1/4))/(a^2*x^4 - 2*a*b*x^2 + b^2)) - 8*sqrt(a*x^3 + b*x))/x","B",0
1880,-1,0,0,0.000000," ","integrate((-2*a*b+(3*a-b)*x)*(-a^3+3*a^2*x-3*a*x^2+x^3)/x/(-b+x)/(x^2*(-a+x)*(-b+x))^(1/4)/(a^3-3*a^2*x+(-b*d+3*a)*x^2+(-1+d)*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1881,-1,0,0,0.000000," ","integrate((a*x^2+2*b)/(a*x^2+b)^(1/4)/(2*x^4+1881*a*x^2+1881*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1882,1,1268,0,1.686352," ","integrate((1+x)^(1/2)*(x^2-1)/(x^2+1)/(1+(1+x)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{4}{15} \, {\left(3 \, x - 4 \, \sqrt{x + 1} + 11\right)} \sqrt{\sqrt{x + 1} + 1} + \frac{1}{2} \, \sqrt{\sqrt{8 i + 8} + \sqrt{-8 i + 8} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(\sqrt{-8 i + 8} + 2 i + 6\right)} - \frac{3}{4} \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 4 \, \sqrt{-8 i + 8} - 8 i + 8} + 4} \log\left(\frac{1}{8} \, {\left({\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} {\left(3 \, \sqrt{-8 i + 8} + 6 i - 10\right)} + {\left(3 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} + 24 \, \sqrt{-8 i + 8} + 48 i - 88\right)} {\left(\sqrt{8 i + 8} - 2 i - 2\right)} - 4 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(\sqrt{-8 i + 8} + 2 i + 6\right)} - \frac{3}{4} \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 4 \, \sqrt{-8 i + 8} - 8 i + 8} {\left({\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(3 \, \sqrt{-8 i + 8} + 6 i - 10\right)} - 4 \, \sqrt{-8 i + 8} - 8 i + 16\right)} - 40 \, \sqrt{-8 i + 8} - 80 i + 80\right)} \sqrt{\sqrt{8 i + 8} + \sqrt{-8 i + 8} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(\sqrt{-8 i + 8} + 2 i + 6\right)} - \frac{3}{4} \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 4 \, \sqrt{-8 i + 8} - 8 i + 8} + 4} + 32 \, \sqrt{\sqrt{x + 1} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{8 i + 8} + \sqrt{-8 i + 8} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(\sqrt{-8 i + 8} + 2 i + 6\right)} - \frac{3}{4} \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 4 \, \sqrt{-8 i + 8} - 8 i + 8} + 4} \log\left(-\frac{1}{8} \, {\left({\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} {\left(3 \, \sqrt{-8 i + 8} + 6 i - 10\right)} + {\left(3 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} + 24 \, \sqrt{-8 i + 8} + 48 i - 88\right)} {\left(\sqrt{8 i + 8} - 2 i - 2\right)} - 4 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(\sqrt{-8 i + 8} + 2 i + 6\right)} - \frac{3}{4} \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 4 \, \sqrt{-8 i + 8} - 8 i + 8} {\left({\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(3 \, \sqrt{-8 i + 8} + 6 i - 10\right)} - 4 \, \sqrt{-8 i + 8} - 8 i + 16\right)} - 40 \, \sqrt{-8 i + 8} - 80 i + 80\right)} \sqrt{\sqrt{8 i + 8} + \sqrt{-8 i + 8} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(\sqrt{-8 i + 8} + 2 i + 6\right)} - \frac{3}{4} \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 4 \, \sqrt{-8 i + 8} - 8 i + 8} + 4} + 32 \, \sqrt{\sqrt{x + 1} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{8 i + 8} + \sqrt{-8 i + 8} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(\sqrt{-8 i + 8} + 2 i + 6\right)} - \frac{3}{4} \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 4 \, \sqrt{-8 i + 8} - 8 i + 8} + 4} \log\left(\frac{1}{8} \, {\left({\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} {\left(3 \, \sqrt{-8 i + 8} + 6 i - 10\right)} + {\left(3 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} + 24 \, \sqrt{-8 i + 8} + 48 i - 88\right)} {\left(\sqrt{8 i + 8} - 2 i - 2\right)} - 4 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(\sqrt{-8 i + 8} + 2 i + 6\right)} - \frac{3}{4} \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 4 \, \sqrt{-8 i + 8} - 8 i + 8} {\left({\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(3 \, \sqrt{-8 i + 8} + 6 i - 10\right)} - 4 \, \sqrt{-8 i + 8} - 8 i + 16\right)} - 40 \, \sqrt{-8 i + 8} - 80 i + 80\right)} \sqrt{\sqrt{8 i + 8} + \sqrt{-8 i + 8} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(\sqrt{-8 i + 8} + 2 i + 6\right)} - \frac{3}{4} \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 4 \, \sqrt{-8 i + 8} - 8 i + 8} + 4} + 32 \, \sqrt{\sqrt{x + 1} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{8 i + 8} + \sqrt{-8 i + 8} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(\sqrt{-8 i + 8} + 2 i + 6\right)} - \frac{3}{4} \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 4 \, \sqrt{-8 i + 8} - 8 i + 8} + 4} \log\left(-\frac{1}{8} \, {\left({\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} {\left(3 \, \sqrt{-8 i + 8} + 6 i - 10\right)} + {\left(3 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} + 24 \, \sqrt{-8 i + 8} + 48 i - 88\right)} {\left(\sqrt{8 i + 8} - 2 i - 2\right)} - 4 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(\sqrt{-8 i + 8} + 2 i + 6\right)} - \frac{3}{4} \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 4 \, \sqrt{-8 i + 8} - 8 i + 8} {\left({\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(3 \, \sqrt{-8 i + 8} + 6 i - 10\right)} - 4 \, \sqrt{-8 i + 8} - 8 i + 16\right)} - 40 \, \sqrt{-8 i + 8} - 80 i + 80\right)} \sqrt{\sqrt{8 i + 8} + \sqrt{-8 i + 8} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(\sqrt{-8 i + 8} + 2 i + 6\right)} - \frac{3}{4} \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 4 \, \sqrt{-8 i + 8} - 8 i + 8} + 4} + 32 \, \sqrt{\sqrt{x + 1} + 1}\right) - \sqrt{-\frac{1}{2} \, \sqrt{8 i + 8} + i + 1} \log\left(\frac{1}{4} \, {\left({\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} {\left(3 \, \sqrt{-8 i + 8} + 6 i - 10\right)} + 3 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{3} + {\left(3 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} + 24 \, \sqrt{-8 i + 8} + 48 i - 88\right)} {\left(\sqrt{8 i + 8} - 2 i - 2\right)} + 24 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} + 48 \, \sqrt{-8 i + 8} + 96 i - 192\right)} \sqrt{-\frac{1}{2} \, \sqrt{8 i + 8} + i + 1} + 16 \, \sqrt{\sqrt{x + 1} + 1}\right) + \sqrt{-\frac{1}{2} \, \sqrt{8 i + 8} + i + 1} \log\left(-\frac{1}{4} \, {\left({\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} {\left(3 \, \sqrt{-8 i + 8} + 6 i - 10\right)} + 3 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{3} + {\left(3 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} + 24 \, \sqrt{-8 i + 8} + 48 i - 88\right)} {\left(\sqrt{8 i + 8} - 2 i - 2\right)} + 24 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} + 48 \, \sqrt{-8 i + 8} + 96 i - 192\right)} \sqrt{-\frac{1}{2} \, \sqrt{8 i + 8} + i + 1} + 16 \, \sqrt{\sqrt{x + 1} + 1}\right) + \sqrt{-\frac{1}{2} \, \sqrt{-8 i + 8} - i + 1} \log\left(\frac{1}{4} \, {\left(3 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{3} + 28 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} + 88 \, \sqrt{-8 i + 8} + 176 i - 272\right)} \sqrt{-\frac{1}{2} \, \sqrt{-8 i + 8} - i + 1} + 16 \, \sqrt{\sqrt{x + 1} + 1}\right) - \sqrt{-\frac{1}{2} \, \sqrt{-8 i + 8} - i + 1} \log\left(-\frac{1}{4} \, {\left(3 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{3} + 28 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} + 88 \, \sqrt{-8 i + 8} + 176 i - 272\right)} \sqrt{-\frac{1}{2} \, \sqrt{-8 i + 8} - i + 1} + 16 \, \sqrt{\sqrt{x + 1} + 1}\right)"," ",0,"4/15*(3*x - 4*sqrt(x + 1) + 11)*sqrt(sqrt(x + 1) + 1) + 1/2*sqrt(sqrt(8*I + 8) + sqrt(-8*I + 8) + 2*sqrt(-3/4*(sqrt(8*I + 8) - 2*I - 2)^2 - 1/2*(sqrt(8*I + 8) - 2*I - 2)*(sqrt(-8*I + 8) + 2*I + 6) - 3/4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 4*sqrt(-8*I + 8) - 8*I + 8) + 4)*log(1/8*((sqrt(8*I + 8) - 2*I - 2)^2*(3*sqrt(-8*I + 8) + 6*I - 10) + (3*(sqrt(-8*I + 8) + 2*I - 2)^2 + 24*sqrt(-8*I + 8) + 48*I - 88)*(sqrt(8*I + 8) - 2*I - 2) - 4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 2*sqrt(-3/4*(sqrt(8*I + 8) - 2*I - 2)^2 - 1/2*(sqrt(8*I + 8) - 2*I - 2)*(sqrt(-8*I + 8) + 2*I + 6) - 3/4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 4*sqrt(-8*I + 8) - 8*I + 8)*((sqrt(8*I + 8) - 2*I - 2)*(3*sqrt(-8*I + 8) + 6*I - 10) - 4*sqrt(-8*I + 8) - 8*I + 16) - 40*sqrt(-8*I + 8) - 80*I + 80)*sqrt(sqrt(8*I + 8) + sqrt(-8*I + 8) + 2*sqrt(-3/4*(sqrt(8*I + 8) - 2*I - 2)^2 - 1/2*(sqrt(8*I + 8) - 2*I - 2)*(sqrt(-8*I + 8) + 2*I + 6) - 3/4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 4*sqrt(-8*I + 8) - 8*I + 8) + 4) + 32*sqrt(sqrt(x + 1) + 1)) - 1/2*sqrt(sqrt(8*I + 8) + sqrt(-8*I + 8) + 2*sqrt(-3/4*(sqrt(8*I + 8) - 2*I - 2)^2 - 1/2*(sqrt(8*I + 8) - 2*I - 2)*(sqrt(-8*I + 8) + 2*I + 6) - 3/4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 4*sqrt(-8*I + 8) - 8*I + 8) + 4)*log(-1/8*((sqrt(8*I + 8) - 2*I - 2)^2*(3*sqrt(-8*I + 8) + 6*I - 10) + (3*(sqrt(-8*I + 8) + 2*I - 2)^2 + 24*sqrt(-8*I + 8) + 48*I - 88)*(sqrt(8*I + 8) - 2*I - 2) - 4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 2*sqrt(-3/4*(sqrt(8*I + 8) - 2*I - 2)^2 - 1/2*(sqrt(8*I + 8) - 2*I - 2)*(sqrt(-8*I + 8) + 2*I + 6) - 3/4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 4*sqrt(-8*I + 8) - 8*I + 8)*((sqrt(8*I + 8) - 2*I - 2)*(3*sqrt(-8*I + 8) + 6*I - 10) - 4*sqrt(-8*I + 8) - 8*I + 16) - 40*sqrt(-8*I + 8) - 80*I + 80)*sqrt(sqrt(8*I + 8) + sqrt(-8*I + 8) + 2*sqrt(-3/4*(sqrt(8*I + 8) - 2*I - 2)^2 - 1/2*(sqrt(8*I + 8) - 2*I - 2)*(sqrt(-8*I + 8) + 2*I + 6) - 3/4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 4*sqrt(-8*I + 8) - 8*I + 8) + 4) + 32*sqrt(sqrt(x + 1) + 1)) + 1/2*sqrt(sqrt(8*I + 8) + sqrt(-8*I + 8) - 2*sqrt(-3/4*(sqrt(8*I + 8) - 2*I - 2)^2 - 1/2*(sqrt(8*I + 8) - 2*I - 2)*(sqrt(-8*I + 8) + 2*I + 6) - 3/4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 4*sqrt(-8*I + 8) - 8*I + 8) + 4)*log(1/8*((sqrt(8*I + 8) - 2*I - 2)^2*(3*sqrt(-8*I + 8) + 6*I - 10) + (3*(sqrt(-8*I + 8) + 2*I - 2)^2 + 24*sqrt(-8*I + 8) + 48*I - 88)*(sqrt(8*I + 8) - 2*I - 2) - 4*(sqrt(-8*I + 8) + 2*I - 2)^2 + 2*sqrt(-3/4*(sqrt(8*I + 8) - 2*I - 2)^2 - 1/2*(sqrt(8*I + 8) - 2*I - 2)*(sqrt(-8*I + 8) + 2*I + 6) - 3/4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 4*sqrt(-8*I + 8) - 8*I + 8)*((sqrt(8*I + 8) - 2*I - 2)*(3*sqrt(-8*I + 8) + 6*I - 10) - 4*sqrt(-8*I + 8) - 8*I + 16) - 40*sqrt(-8*I + 8) - 80*I + 80)*sqrt(sqrt(8*I + 8) + sqrt(-8*I + 8) - 2*sqrt(-3/4*(sqrt(8*I + 8) - 2*I - 2)^2 - 1/2*(sqrt(8*I + 8) - 2*I - 2)*(sqrt(-8*I + 8) + 2*I + 6) - 3/4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 4*sqrt(-8*I + 8) - 8*I + 8) + 4) + 32*sqrt(sqrt(x + 1) + 1)) - 1/2*sqrt(sqrt(8*I + 8) + sqrt(-8*I + 8) - 2*sqrt(-3/4*(sqrt(8*I + 8) - 2*I - 2)^2 - 1/2*(sqrt(8*I + 8) - 2*I - 2)*(sqrt(-8*I + 8) + 2*I + 6) - 3/4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 4*sqrt(-8*I + 8) - 8*I + 8) + 4)*log(-1/8*((sqrt(8*I + 8) - 2*I - 2)^2*(3*sqrt(-8*I + 8) + 6*I - 10) + (3*(sqrt(-8*I + 8) + 2*I - 2)^2 + 24*sqrt(-8*I + 8) + 48*I - 88)*(sqrt(8*I + 8) - 2*I - 2) - 4*(sqrt(-8*I + 8) + 2*I - 2)^2 + 2*sqrt(-3/4*(sqrt(8*I + 8) - 2*I - 2)^2 - 1/2*(sqrt(8*I + 8) - 2*I - 2)*(sqrt(-8*I + 8) + 2*I + 6) - 3/4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 4*sqrt(-8*I + 8) - 8*I + 8)*((sqrt(8*I + 8) - 2*I - 2)*(3*sqrt(-8*I + 8) + 6*I - 10) - 4*sqrt(-8*I + 8) - 8*I + 16) - 40*sqrt(-8*I + 8) - 80*I + 80)*sqrt(sqrt(8*I + 8) + sqrt(-8*I + 8) - 2*sqrt(-3/4*(sqrt(8*I + 8) - 2*I - 2)^2 - 1/2*(sqrt(8*I + 8) - 2*I - 2)*(sqrt(-8*I + 8) + 2*I + 6) - 3/4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 4*sqrt(-8*I + 8) - 8*I + 8) + 4) + 32*sqrt(sqrt(x + 1) + 1)) - sqrt(-1/2*sqrt(8*I + 8) + I + 1)*log(1/4*((sqrt(8*I + 8) - 2*I - 2)^2*(3*sqrt(-8*I + 8) + 6*I - 10) + 3*(sqrt(-8*I + 8) + 2*I - 2)^3 + (3*(sqrt(-8*I + 8) + 2*I - 2)^2 + 24*sqrt(-8*I + 8) + 48*I - 88)*(sqrt(8*I + 8) - 2*I - 2) + 24*(sqrt(-8*I + 8) + 2*I - 2)^2 + 48*sqrt(-8*I + 8) + 96*I - 192)*sqrt(-1/2*sqrt(8*I + 8) + I + 1) + 16*sqrt(sqrt(x + 1) + 1)) + sqrt(-1/2*sqrt(8*I + 8) + I + 1)*log(-1/4*((sqrt(8*I + 8) - 2*I - 2)^2*(3*sqrt(-8*I + 8) + 6*I - 10) + 3*(sqrt(-8*I + 8) + 2*I - 2)^3 + (3*(sqrt(-8*I + 8) + 2*I - 2)^2 + 24*sqrt(-8*I + 8) + 48*I - 88)*(sqrt(8*I + 8) - 2*I - 2) + 24*(sqrt(-8*I + 8) + 2*I - 2)^2 + 48*sqrt(-8*I + 8) + 96*I - 192)*sqrt(-1/2*sqrt(8*I + 8) + I + 1) + 16*sqrt(sqrt(x + 1) + 1)) + sqrt(-1/2*sqrt(-8*I + 8) - I + 1)*log(1/4*(3*(sqrt(-8*I + 8) + 2*I - 2)^3 + 28*(sqrt(-8*I + 8) + 2*I - 2)^2 + 88*sqrt(-8*I + 8) + 176*I - 272)*sqrt(-1/2*sqrt(-8*I + 8) - I + 1) + 16*sqrt(sqrt(x + 1) + 1)) - sqrt(-1/2*sqrt(-8*I + 8) - I + 1)*log(-1/4*(3*(sqrt(-8*I + 8) + 2*I - 2)^3 + 28*(sqrt(-8*I + 8) + 2*I - 2)^2 + 88*sqrt(-8*I + 8) + 176*I - 272)*sqrt(-1/2*sqrt(-8*I + 8) - I + 1) + 16*sqrt(sqrt(x + 1) + 1))","B",0
1883,1,1268,0,1.692656," ","integrate((1+x)^(1/2)*(x^2-1)/(x^2+1)/(1+(1+x)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{4}{15} \, {\left(3 \, x - 4 \, \sqrt{x + 1} + 11\right)} \sqrt{\sqrt{x + 1} + 1} + \frac{1}{2} \, \sqrt{\sqrt{8 i + 8} + \sqrt{-8 i + 8} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(\sqrt{-8 i + 8} + 2 i + 6\right)} - \frac{3}{4} \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 4 \, \sqrt{-8 i + 8} - 8 i + 8} + 4} \log\left(\frac{1}{8} \, {\left({\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} {\left(3 \, \sqrt{-8 i + 8} + 6 i - 10\right)} + {\left(3 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} + 24 \, \sqrt{-8 i + 8} + 48 i - 88\right)} {\left(\sqrt{8 i + 8} - 2 i - 2\right)} - 4 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(\sqrt{-8 i + 8} + 2 i + 6\right)} - \frac{3}{4} \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 4 \, \sqrt{-8 i + 8} - 8 i + 8} {\left({\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(3 \, \sqrt{-8 i + 8} + 6 i - 10\right)} - 4 \, \sqrt{-8 i + 8} - 8 i + 16\right)} - 40 \, \sqrt{-8 i + 8} - 80 i + 80\right)} \sqrt{\sqrt{8 i + 8} + \sqrt{-8 i + 8} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(\sqrt{-8 i + 8} + 2 i + 6\right)} - \frac{3}{4} \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 4 \, \sqrt{-8 i + 8} - 8 i + 8} + 4} + 32 \, \sqrt{\sqrt{x + 1} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{8 i + 8} + \sqrt{-8 i + 8} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(\sqrt{-8 i + 8} + 2 i + 6\right)} - \frac{3}{4} \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 4 \, \sqrt{-8 i + 8} - 8 i + 8} + 4} \log\left(-\frac{1}{8} \, {\left({\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} {\left(3 \, \sqrt{-8 i + 8} + 6 i - 10\right)} + {\left(3 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} + 24 \, \sqrt{-8 i + 8} + 48 i - 88\right)} {\left(\sqrt{8 i + 8} - 2 i - 2\right)} - 4 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(\sqrt{-8 i + 8} + 2 i + 6\right)} - \frac{3}{4} \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 4 \, \sqrt{-8 i + 8} - 8 i + 8} {\left({\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(3 \, \sqrt{-8 i + 8} + 6 i - 10\right)} - 4 \, \sqrt{-8 i + 8} - 8 i + 16\right)} - 40 \, \sqrt{-8 i + 8} - 80 i + 80\right)} \sqrt{\sqrt{8 i + 8} + \sqrt{-8 i + 8} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(\sqrt{-8 i + 8} + 2 i + 6\right)} - \frac{3}{4} \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 4 \, \sqrt{-8 i + 8} - 8 i + 8} + 4} + 32 \, \sqrt{\sqrt{x + 1} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{8 i + 8} + \sqrt{-8 i + 8} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(\sqrt{-8 i + 8} + 2 i + 6\right)} - \frac{3}{4} \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 4 \, \sqrt{-8 i + 8} - 8 i + 8} + 4} \log\left(\frac{1}{8} \, {\left({\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} {\left(3 \, \sqrt{-8 i + 8} + 6 i - 10\right)} + {\left(3 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} + 24 \, \sqrt{-8 i + 8} + 48 i - 88\right)} {\left(\sqrt{8 i + 8} - 2 i - 2\right)} - 4 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(\sqrt{-8 i + 8} + 2 i + 6\right)} - \frac{3}{4} \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 4 \, \sqrt{-8 i + 8} - 8 i + 8} {\left({\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(3 \, \sqrt{-8 i + 8} + 6 i - 10\right)} - 4 \, \sqrt{-8 i + 8} - 8 i + 16\right)} - 40 \, \sqrt{-8 i + 8} - 80 i + 80\right)} \sqrt{\sqrt{8 i + 8} + \sqrt{-8 i + 8} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(\sqrt{-8 i + 8} + 2 i + 6\right)} - \frac{3}{4} \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 4 \, \sqrt{-8 i + 8} - 8 i + 8} + 4} + 32 \, \sqrt{\sqrt{x + 1} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{8 i + 8} + \sqrt{-8 i + 8} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(\sqrt{-8 i + 8} + 2 i + 6\right)} - \frac{3}{4} \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 4 \, \sqrt{-8 i + 8} - 8 i + 8} + 4} \log\left(-\frac{1}{8} \, {\left({\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} {\left(3 \, \sqrt{-8 i + 8} + 6 i - 10\right)} + {\left(3 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} + 24 \, \sqrt{-8 i + 8} + 48 i - 88\right)} {\left(\sqrt{8 i + 8} - 2 i - 2\right)} - 4 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(\sqrt{-8 i + 8} + 2 i + 6\right)} - \frac{3}{4} \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 4 \, \sqrt{-8 i + 8} - 8 i + 8} {\left({\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(3 \, \sqrt{-8 i + 8} + 6 i - 10\right)} - 4 \, \sqrt{-8 i + 8} - 8 i + 16\right)} - 40 \, \sqrt{-8 i + 8} - 80 i + 80\right)} \sqrt{\sqrt{8 i + 8} + \sqrt{-8 i + 8} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{8 i + 8} - 2 i - 2\right)} {\left(\sqrt{-8 i + 8} + 2 i + 6\right)} - \frac{3}{4} \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} - 4 \, \sqrt{-8 i + 8} - 8 i + 8} + 4} + 32 \, \sqrt{\sqrt{x + 1} + 1}\right) - \sqrt{-\frac{1}{2} \, \sqrt{8 i + 8} + i + 1} \log\left(\frac{1}{4} \, {\left({\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} {\left(3 \, \sqrt{-8 i + 8} + 6 i - 10\right)} + 3 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{3} + {\left(3 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} + 24 \, \sqrt{-8 i + 8} + 48 i - 88\right)} {\left(\sqrt{8 i + 8} - 2 i - 2\right)} + 24 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} + 48 \, \sqrt{-8 i + 8} + 96 i - 192\right)} \sqrt{-\frac{1}{2} \, \sqrt{8 i + 8} + i + 1} + 16 \, \sqrt{\sqrt{x + 1} + 1}\right) + \sqrt{-\frac{1}{2} \, \sqrt{8 i + 8} + i + 1} \log\left(-\frac{1}{4} \, {\left({\left(\sqrt{8 i + 8} - 2 i - 2\right)}^{2} {\left(3 \, \sqrt{-8 i + 8} + 6 i - 10\right)} + 3 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{3} + {\left(3 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} + 24 \, \sqrt{-8 i + 8} + 48 i - 88\right)} {\left(\sqrt{8 i + 8} - 2 i - 2\right)} + 24 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} + 48 \, \sqrt{-8 i + 8} + 96 i - 192\right)} \sqrt{-\frac{1}{2} \, \sqrt{8 i + 8} + i + 1} + 16 \, \sqrt{\sqrt{x + 1} + 1}\right) + \sqrt{-\frac{1}{2} \, \sqrt{-8 i + 8} - i + 1} \log\left(\frac{1}{4} \, {\left(3 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{3} + 28 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} + 88 \, \sqrt{-8 i + 8} + 176 i - 272\right)} \sqrt{-\frac{1}{2} \, \sqrt{-8 i + 8} - i + 1} + 16 \, \sqrt{\sqrt{x + 1} + 1}\right) - \sqrt{-\frac{1}{2} \, \sqrt{-8 i + 8} - i + 1} \log\left(-\frac{1}{4} \, {\left(3 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{3} + 28 \, {\left(\sqrt{-8 i + 8} + 2 i - 2\right)}^{2} + 88 \, \sqrt{-8 i + 8} + 176 i - 272\right)} \sqrt{-\frac{1}{2} \, \sqrt{-8 i + 8} - i + 1} + 16 \, \sqrt{\sqrt{x + 1} + 1}\right)"," ",0,"4/15*(3*x - 4*sqrt(x + 1) + 11)*sqrt(sqrt(x + 1) + 1) + 1/2*sqrt(sqrt(8*I + 8) + sqrt(-8*I + 8) + 2*sqrt(-3/4*(sqrt(8*I + 8) - 2*I - 2)^2 - 1/2*(sqrt(8*I + 8) - 2*I - 2)*(sqrt(-8*I + 8) + 2*I + 6) - 3/4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 4*sqrt(-8*I + 8) - 8*I + 8) + 4)*log(1/8*((sqrt(8*I + 8) - 2*I - 2)^2*(3*sqrt(-8*I + 8) + 6*I - 10) + (3*(sqrt(-8*I + 8) + 2*I - 2)^2 + 24*sqrt(-8*I + 8) + 48*I - 88)*(sqrt(8*I + 8) - 2*I - 2) - 4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 2*sqrt(-3/4*(sqrt(8*I + 8) - 2*I - 2)^2 - 1/2*(sqrt(8*I + 8) - 2*I - 2)*(sqrt(-8*I + 8) + 2*I + 6) - 3/4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 4*sqrt(-8*I + 8) - 8*I + 8)*((sqrt(8*I + 8) - 2*I - 2)*(3*sqrt(-8*I + 8) + 6*I - 10) - 4*sqrt(-8*I + 8) - 8*I + 16) - 40*sqrt(-8*I + 8) - 80*I + 80)*sqrt(sqrt(8*I + 8) + sqrt(-8*I + 8) + 2*sqrt(-3/4*(sqrt(8*I + 8) - 2*I - 2)^2 - 1/2*(sqrt(8*I + 8) - 2*I - 2)*(sqrt(-8*I + 8) + 2*I + 6) - 3/4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 4*sqrt(-8*I + 8) - 8*I + 8) + 4) + 32*sqrt(sqrt(x + 1) + 1)) - 1/2*sqrt(sqrt(8*I + 8) + sqrt(-8*I + 8) + 2*sqrt(-3/4*(sqrt(8*I + 8) - 2*I - 2)^2 - 1/2*(sqrt(8*I + 8) - 2*I - 2)*(sqrt(-8*I + 8) + 2*I + 6) - 3/4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 4*sqrt(-8*I + 8) - 8*I + 8) + 4)*log(-1/8*((sqrt(8*I + 8) - 2*I - 2)^2*(3*sqrt(-8*I + 8) + 6*I - 10) + (3*(sqrt(-8*I + 8) + 2*I - 2)^2 + 24*sqrt(-8*I + 8) + 48*I - 88)*(sqrt(8*I + 8) - 2*I - 2) - 4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 2*sqrt(-3/4*(sqrt(8*I + 8) - 2*I - 2)^2 - 1/2*(sqrt(8*I + 8) - 2*I - 2)*(sqrt(-8*I + 8) + 2*I + 6) - 3/4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 4*sqrt(-8*I + 8) - 8*I + 8)*((sqrt(8*I + 8) - 2*I - 2)*(3*sqrt(-8*I + 8) + 6*I - 10) - 4*sqrt(-8*I + 8) - 8*I + 16) - 40*sqrt(-8*I + 8) - 80*I + 80)*sqrt(sqrt(8*I + 8) + sqrt(-8*I + 8) + 2*sqrt(-3/4*(sqrt(8*I + 8) - 2*I - 2)^2 - 1/2*(sqrt(8*I + 8) - 2*I - 2)*(sqrt(-8*I + 8) + 2*I + 6) - 3/4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 4*sqrt(-8*I + 8) - 8*I + 8) + 4) + 32*sqrt(sqrt(x + 1) + 1)) + 1/2*sqrt(sqrt(8*I + 8) + sqrt(-8*I + 8) - 2*sqrt(-3/4*(sqrt(8*I + 8) - 2*I - 2)^2 - 1/2*(sqrt(8*I + 8) - 2*I - 2)*(sqrt(-8*I + 8) + 2*I + 6) - 3/4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 4*sqrt(-8*I + 8) - 8*I + 8) + 4)*log(1/8*((sqrt(8*I + 8) - 2*I - 2)^2*(3*sqrt(-8*I + 8) + 6*I - 10) + (3*(sqrt(-8*I + 8) + 2*I - 2)^2 + 24*sqrt(-8*I + 8) + 48*I - 88)*(sqrt(8*I + 8) - 2*I - 2) - 4*(sqrt(-8*I + 8) + 2*I - 2)^2 + 2*sqrt(-3/4*(sqrt(8*I + 8) - 2*I - 2)^2 - 1/2*(sqrt(8*I + 8) - 2*I - 2)*(sqrt(-8*I + 8) + 2*I + 6) - 3/4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 4*sqrt(-8*I + 8) - 8*I + 8)*((sqrt(8*I + 8) - 2*I - 2)*(3*sqrt(-8*I + 8) + 6*I - 10) - 4*sqrt(-8*I + 8) - 8*I + 16) - 40*sqrt(-8*I + 8) - 80*I + 80)*sqrt(sqrt(8*I + 8) + sqrt(-8*I + 8) - 2*sqrt(-3/4*(sqrt(8*I + 8) - 2*I - 2)^2 - 1/2*(sqrt(8*I + 8) - 2*I - 2)*(sqrt(-8*I + 8) + 2*I + 6) - 3/4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 4*sqrt(-8*I + 8) - 8*I + 8) + 4) + 32*sqrt(sqrt(x + 1) + 1)) - 1/2*sqrt(sqrt(8*I + 8) + sqrt(-8*I + 8) - 2*sqrt(-3/4*(sqrt(8*I + 8) - 2*I - 2)^2 - 1/2*(sqrt(8*I + 8) - 2*I - 2)*(sqrt(-8*I + 8) + 2*I + 6) - 3/4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 4*sqrt(-8*I + 8) - 8*I + 8) + 4)*log(-1/8*((sqrt(8*I + 8) - 2*I - 2)^2*(3*sqrt(-8*I + 8) + 6*I - 10) + (3*(sqrt(-8*I + 8) + 2*I - 2)^2 + 24*sqrt(-8*I + 8) + 48*I - 88)*(sqrt(8*I + 8) - 2*I - 2) - 4*(sqrt(-8*I + 8) + 2*I - 2)^2 + 2*sqrt(-3/4*(sqrt(8*I + 8) - 2*I - 2)^2 - 1/2*(sqrt(8*I + 8) - 2*I - 2)*(sqrt(-8*I + 8) + 2*I + 6) - 3/4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 4*sqrt(-8*I + 8) - 8*I + 8)*((sqrt(8*I + 8) - 2*I - 2)*(3*sqrt(-8*I + 8) + 6*I - 10) - 4*sqrt(-8*I + 8) - 8*I + 16) - 40*sqrt(-8*I + 8) - 80*I + 80)*sqrt(sqrt(8*I + 8) + sqrt(-8*I + 8) - 2*sqrt(-3/4*(sqrt(8*I + 8) - 2*I - 2)^2 - 1/2*(sqrt(8*I + 8) - 2*I - 2)*(sqrt(-8*I + 8) + 2*I + 6) - 3/4*(sqrt(-8*I + 8) + 2*I - 2)^2 - 4*sqrt(-8*I + 8) - 8*I + 8) + 4) + 32*sqrt(sqrt(x + 1) + 1)) - sqrt(-1/2*sqrt(8*I + 8) + I + 1)*log(1/4*((sqrt(8*I + 8) - 2*I - 2)^2*(3*sqrt(-8*I + 8) + 6*I - 10) + 3*(sqrt(-8*I + 8) + 2*I - 2)^3 + (3*(sqrt(-8*I + 8) + 2*I - 2)^2 + 24*sqrt(-8*I + 8) + 48*I - 88)*(sqrt(8*I + 8) - 2*I - 2) + 24*(sqrt(-8*I + 8) + 2*I - 2)^2 + 48*sqrt(-8*I + 8) + 96*I - 192)*sqrt(-1/2*sqrt(8*I + 8) + I + 1) + 16*sqrt(sqrt(x + 1) + 1)) + sqrt(-1/2*sqrt(8*I + 8) + I + 1)*log(-1/4*((sqrt(8*I + 8) - 2*I - 2)^2*(3*sqrt(-8*I + 8) + 6*I - 10) + 3*(sqrt(-8*I + 8) + 2*I - 2)^3 + (3*(sqrt(-8*I + 8) + 2*I - 2)^2 + 24*sqrt(-8*I + 8) + 48*I - 88)*(sqrt(8*I + 8) - 2*I - 2) + 24*(sqrt(-8*I + 8) + 2*I - 2)^2 + 48*sqrt(-8*I + 8) + 96*I - 192)*sqrt(-1/2*sqrt(8*I + 8) + I + 1) + 16*sqrt(sqrt(x + 1) + 1)) + sqrt(-1/2*sqrt(-8*I + 8) - I + 1)*log(1/4*(3*(sqrt(-8*I + 8) + 2*I - 2)^3 + 28*(sqrt(-8*I + 8) + 2*I - 2)^2 + 88*sqrt(-8*I + 8) + 176*I - 272)*sqrt(-1/2*sqrt(-8*I + 8) - I + 1) + 16*sqrt(sqrt(x + 1) + 1)) - sqrt(-1/2*sqrt(-8*I + 8) - I + 1)*log(-1/4*(3*(sqrt(-8*I + 8) + 2*I - 2)^3 + 28*(sqrt(-8*I + 8) + 2*I - 2)^2 + 88*sqrt(-8*I + 8) + 176*I - 272)*sqrt(-1/2*sqrt(-8*I + 8) - I + 1) + 16*sqrt(sqrt(x + 1) + 1))","B",0
1884,-1,0,0,0.000000," ","integrate((x^4-1)*(1+(1+x)^(1/2))^(1/2)/(1+x)^(1/2)/(x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1885,-1,0,0,0.000000," ","integrate((x^4-1)*(1+(1+x)^(1/2))^(1/2)/(1+x)^(1/2)/(x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1886,-2,0,0,0.000000," ","integrate((a*x^2+1)/(a*x^2-1)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> the translation of the FriCAS object sage2 to sage is not yet implemented","F(-2)",0
1887,1,118,0,0.464149," ","integrate(x*(x^2+x)^(1/2)/(x^2+x*(x^2+x)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{255 \, \sqrt{2} x \log\left(\frac{4 \, x^{2} - 2 \, \sqrt{x^{2} + \sqrt{x^{2} + x} x} {\left(\sqrt{2} x + \sqrt{2} \sqrt{x^{2} + x}\right)} + 4 \, \sqrt{x^{2} + x} x + x}{x}\right) + 4 \, {\left(384 \, x^{3} + 568 \, x^{2} - {\left(384 \, x^{2} + 136 \, x - 255\right)} \sqrt{x^{2} + x} - 85 \, x\right)} \sqrt{x^{2} + \sqrt{x^{2} + x} x}}{3840 \, x}"," ",0,"1/3840*(255*sqrt(2)*x*log((4*x^2 - 2*sqrt(x^2 + sqrt(x^2 + x)*x)*(sqrt(2)*x + sqrt(2)*sqrt(x^2 + x)) + 4*sqrt(x^2 + x)*x + x)/x) + 4*(384*x^3 + 568*x^2 - (384*x^2 + 136*x - 255)*sqrt(x^2 + x) - 85*x)*sqrt(x^2 + sqrt(x^2 + x)*x))/x","A",0
1888,-1,0,0,0.000000," ","integrate((1+x)^(1/2)/(1+(x+(1+x)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1889,-2,0,0,0.000000," ","integrate((1+x)/(-1+x)/(1+2*x)/(3*x^2-1)^(1/3),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
1890,1,112,0,1.489481," ","integrate((a*x^2-b)/x^2/(x^3-x)^(1/3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} a x^{2} \arctan\left(-\frac{44032959556 \, \sqrt{3} {\left(x^{3} - x\right)}^{\frac{1}{3}} x + \sqrt{3} {\left(16754327161 \, x^{2} - 2707204793\right)} - 10524305234 \, \sqrt{3} {\left(x^{3} - x\right)}^{\frac{2}{3}}}{81835897185 \, x^{2} - 1102302937}\right) - a x^{2} \log\left(-3 \, {\left(x^{3} - x\right)}^{\frac{1}{3}} x + 3 \, {\left(x^{3} - x\right)}^{\frac{2}{3}} + 1\right) - 3 \, {\left(x^{3} - x\right)}^{\frac{2}{3}} b}{4 \, x^{2}}"," ",0,"1/4*(2*sqrt(3)*a*x^2*arctan(-(44032959556*sqrt(3)*(x^3 - x)^(1/3)*x + sqrt(3)*(16754327161*x^2 - 2707204793) - 10524305234*sqrt(3)*(x^3 - x)^(2/3))/(81835897185*x^2 - 1102302937)) - a*x^2*log(-3*(x^3 - x)^(1/3)*x + 3*(x^3 - x)^(2/3) + 1) - 3*(x^3 - x)^(2/3)*b)/x^2","A",0
1891,1,2485,0,1.160194," ","integrate((x^4+1)/(x^3-x^2-x)^(1/2)/(x^4-1),x, algorithm=""fricas"")","\frac{1}{160} \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} - \sqrt{2}\right)} \sqrt{\sqrt{5} + 5} \log\left(\frac{5 \, {\left(5 \, x^{4} - 20 \, x^{3} + 5^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(\sqrt{5} \sqrt{2} {\left(x^{2} - 6 \, x - 1\right)} - 5 \, \sqrt{2} {\left(x^{2} - 2 \, x - 1\right)}\right)} \sqrt{\sqrt{5} + 5} + 30 \, x^{2} + 20 \, \sqrt{5} {\left(x^{3} - x^{2} - x\right)} + 20 \, x + 5\right)}}{x^{4} + 2 \, x^{2} + 1}\right) - \frac{1}{160} \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} - \sqrt{2}\right)} \sqrt{\sqrt{5} + 5} \log\left(\frac{5 \, {\left(5 \, x^{4} - 20 \, x^{3} - 5^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(\sqrt{5} \sqrt{2} {\left(x^{2} - 6 \, x - 1\right)} - 5 \, \sqrt{2} {\left(x^{2} - 2 \, x - 1\right)}\right)} \sqrt{\sqrt{5} + 5} + 30 \, x^{2} + 20 \, \sqrt{5} {\left(x^{3} - x^{2} - x\right)} + 20 \, x + 5\right)}}{x^{4} + 2 \, x^{2} + 1}\right) - \frac{1}{20} \cdot 5^{\frac{1}{4}} \sqrt{2} \sqrt{\sqrt{5} + 5} \arctan\left(-\frac{100 \, x^{11} + 1300 \, x^{10} - 6700 \, x^{9} - 4400 \, x^{8} + 28400 \, x^{7} + 1400 \, x^{6} - 28400 \, x^{5} - 4400 \, x^{4} + 6700 \, x^{3} + 1300 \, x^{2} + 5 \, \sqrt{x^{3} - x^{2} - x} {\left(5^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{10} - 4 \, x^{9} - 17 \, x^{8} + 56 \, x^{7} + 78 \, x^{6} - 136 \, x^{5} - 78 \, x^{4} + 56 \, x^{3} + 17 \, x^{2} - 4 \, x - 1\right)} - \sqrt{2} {\left(x^{10} + 8 \, x^{9} - 57 \, x^{8} - 24 \, x^{7} + 294 \, x^{6} + 64 \, x^{5} - 294 \, x^{4} - 24 \, x^{3} + 57 \, x^{2} + 8 \, x - 1\right)}\right)} + 4 \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(3 \, x^{9} + 7 \, x^{8} + 14 \, x^{7} - 81 \, x^{6} - 10 \, x^{5} + 81 \, x^{4} + 14 \, x^{3} - 7 \, x^{2} + 3 \, x\right)} - 5 \, \sqrt{2} {\left(x^{9} + 9 \, x^{8} - 18 \, x^{7} - 15 \, x^{6} + 26 \, x^{5} + 15 \, x^{4} - 18 \, x^{3} - 9 \, x^{2} + x\right)}\right)}\right)} \sqrt{\sqrt{5} + 5} - \sqrt{5} {\left(240 \, x^{10} + 160 \, x^{9} - 1680 \, x^{8} - 480 \, x^{7} + 3200 \, x^{6} + 480 \, x^{5} - 1680 \, x^{4} - 160 \, x^{3} + 240 \, x^{2} + \sqrt{x^{3} - x^{2} - x} {\left(5^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{10} - 6 \, x^{9} - 25 \, x^{8} + 120 \, x^{7} - 58 \, x^{6} - 196 \, x^{5} + 58 \, x^{4} + 120 \, x^{3} + 25 \, x^{2} - 6 \, x - 1\right)} - \sqrt{2} {\left(x^{10} - 2 \, x^{9} - 17 \, x^{8} + 216 \, x^{7} - 306 \, x^{6} - 396 \, x^{5} + 306 \, x^{4} + 216 \, x^{3} + 17 \, x^{2} - 2 \, x - 1\right)}\right)} + 4 \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(3 \, x^{9} - 3 \, x^{8} - 56 \, x^{7} + 69 \, x^{6} + 90 \, x^{5} - 69 \, x^{4} - 56 \, x^{3} + 3 \, x^{2} + 3 \, x\right)} - 5 \, \sqrt{2} {\left(x^{9} + 3 \, x^{8} - 28 \, x^{7} + 11 \, x^{6} + 54 \, x^{5} - 11 \, x^{4} - 28 \, x^{3} - 3 \, x^{2} + x\right)}\right)}\right)} \sqrt{\sqrt{5} + 5} + 4 \, \sqrt{5} {\left(5 \, x^{11} - 25 \, x^{10} - 105 \, x^{9} + 440 \, x^{8} + 50 \, x^{7} - 830 \, x^{6} - 50 \, x^{5} + 440 \, x^{4} + 105 \, x^{3} - 25 \, x^{2} - \sqrt{5} {\left(x^{11} + 3 \, x^{10} - 37 \, x^{9} + 96 \, x^{8} - 6 \, x^{7} - 166 \, x^{6} + 6 \, x^{5} + 96 \, x^{4} + 37 \, x^{3} + 3 \, x^{2} - x\right)} - 5 \, x\right)} - 80 \, \sqrt{5} {\left(x^{10} + 6 \, x^{9} - 23 \, x^{8} - 2 \, x^{7} + 40 \, x^{6} + 2 \, x^{5} - 23 \, x^{4} - 6 \, x^{3} + x^{2}\right)}\right)} \sqrt{\frac{5 \, x^{4} - 20 \, x^{3} + 5^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(\sqrt{5} \sqrt{2} {\left(x^{2} - 6 \, x - 1\right)} - 5 \, \sqrt{2} {\left(x^{2} - 2 \, x - 1\right)}\right)} \sqrt{\sqrt{5} + 5} + 30 \, x^{2} + 20 \, \sqrt{5} {\left(x^{3} - x^{2} - x\right)} + 20 \, x + 5}{x^{4} + 2 \, x^{2} + 1}} + 20 \, \sqrt{5} {\left(5 \, x^{11} - 15 \, x^{10} - 15 \, x^{9} + 20 \, x^{8} - 20 \, x^{7} + 70 \, x^{6} + 20 \, x^{5} + 20 \, x^{4} + 15 \, x^{3} - 15 \, x^{2} - \sqrt{5} {\left(x^{11} + 13 \, x^{10} - 67 \, x^{9} - 44 \, x^{8} + 284 \, x^{7} + 14 \, x^{6} - 284 \, x^{5} - 44 \, x^{4} + 67 \, x^{3} + 13 \, x^{2} - x\right)} - 5 \, x\right)} - 100 \, \sqrt{5} {\left(x^{11} - 3 \, x^{10} - 3 \, x^{9} + 4 \, x^{8} - 4 \, x^{7} + 14 \, x^{6} + 4 \, x^{5} + 4 \, x^{4} + 3 \, x^{3} - 3 \, x^{2} - x\right)} - 100 \, x}{200 \, {\left(x^{11} - 9 \, x^{10} - 45 \, x^{9} + 180 \, x^{8} + 18 \, x^{7} - 326 \, x^{6} - 18 \, x^{5} + 180 \, x^{4} + 45 \, x^{3} - 9 \, x^{2} - x\right)}}\right) - \frac{1}{20} \cdot 5^{\frac{1}{4}} \sqrt{2} \sqrt{\sqrt{5} + 5} \arctan\left(\frac{100 \, x^{11} + 1300 \, x^{10} - 6700 \, x^{9} - 4400 \, x^{8} + 28400 \, x^{7} + 1400 \, x^{6} - 28400 \, x^{5} - 4400 \, x^{4} + 6700 \, x^{3} + 1300 \, x^{2} - 5 \, \sqrt{x^{3} - x^{2} - x} {\left(5^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{10} - 4 \, x^{9} - 17 \, x^{8} + 56 \, x^{7} + 78 \, x^{6} - 136 \, x^{5} - 78 \, x^{4} + 56 \, x^{3} + 17 \, x^{2} - 4 \, x - 1\right)} - \sqrt{2} {\left(x^{10} + 8 \, x^{9} - 57 \, x^{8} - 24 \, x^{7} + 294 \, x^{6} + 64 \, x^{5} - 294 \, x^{4} - 24 \, x^{3} + 57 \, x^{2} + 8 \, x - 1\right)}\right)} + 4 \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(3 \, x^{9} + 7 \, x^{8} + 14 \, x^{7} - 81 \, x^{6} - 10 \, x^{5} + 81 \, x^{4} + 14 \, x^{3} - 7 \, x^{2} + 3 \, x\right)} - 5 \, \sqrt{2} {\left(x^{9} + 9 \, x^{8} - 18 \, x^{7} - 15 \, x^{6} + 26 \, x^{5} + 15 \, x^{4} - 18 \, x^{3} - 9 \, x^{2} + x\right)}\right)}\right)} \sqrt{\sqrt{5} + 5} - \sqrt{5} {\left(240 \, x^{10} + 160 \, x^{9} - 1680 \, x^{8} - 480 \, x^{7} + 3200 \, x^{6} + 480 \, x^{5} - 1680 \, x^{4} - 160 \, x^{3} + 240 \, x^{2} - \sqrt{x^{3} - x^{2} - x} {\left(5^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{10} - 6 \, x^{9} - 25 \, x^{8} + 120 \, x^{7} - 58 \, x^{6} - 196 \, x^{5} + 58 \, x^{4} + 120 \, x^{3} + 25 \, x^{2} - 6 \, x - 1\right)} - \sqrt{2} {\left(x^{10} - 2 \, x^{9} - 17 \, x^{8} + 216 \, x^{7} - 306 \, x^{6} - 396 \, x^{5} + 306 \, x^{4} + 216 \, x^{3} + 17 \, x^{2} - 2 \, x - 1\right)}\right)} + 4 \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(3 \, x^{9} - 3 \, x^{8} - 56 \, x^{7} + 69 \, x^{6} + 90 \, x^{5} - 69 \, x^{4} - 56 \, x^{3} + 3 \, x^{2} + 3 \, x\right)} - 5 \, \sqrt{2} {\left(x^{9} + 3 \, x^{8} - 28 \, x^{7} + 11 \, x^{6} + 54 \, x^{5} - 11 \, x^{4} - 28 \, x^{3} - 3 \, x^{2} + x\right)}\right)}\right)} \sqrt{\sqrt{5} + 5} + 4 \, \sqrt{5} {\left(5 \, x^{11} - 25 \, x^{10} - 105 \, x^{9} + 440 \, x^{8} + 50 \, x^{7} - 830 \, x^{6} - 50 \, x^{5} + 440 \, x^{4} + 105 \, x^{3} - 25 \, x^{2} - \sqrt{5} {\left(x^{11} + 3 \, x^{10} - 37 \, x^{9} + 96 \, x^{8} - 6 \, x^{7} - 166 \, x^{6} + 6 \, x^{5} + 96 \, x^{4} + 37 \, x^{3} + 3 \, x^{2} - x\right)} - 5 \, x\right)} - 80 \, \sqrt{5} {\left(x^{10} + 6 \, x^{9} - 23 \, x^{8} - 2 \, x^{7} + 40 \, x^{6} + 2 \, x^{5} - 23 \, x^{4} - 6 \, x^{3} + x^{2}\right)}\right)} \sqrt{\frac{5 \, x^{4} - 20 \, x^{3} - 5^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(\sqrt{5} \sqrt{2} {\left(x^{2} - 6 \, x - 1\right)} - 5 \, \sqrt{2} {\left(x^{2} - 2 \, x - 1\right)}\right)} \sqrt{\sqrt{5} + 5} + 30 \, x^{2} + 20 \, \sqrt{5} {\left(x^{3} - x^{2} - x\right)} + 20 \, x + 5}{x^{4} + 2 \, x^{2} + 1}} + 20 \, \sqrt{5} {\left(5 \, x^{11} - 15 \, x^{10} - 15 \, x^{9} + 20 \, x^{8} - 20 \, x^{7} + 70 \, x^{6} + 20 \, x^{5} + 20 \, x^{4} + 15 \, x^{3} - 15 \, x^{2} - \sqrt{5} {\left(x^{11} + 13 \, x^{10} - 67 \, x^{9} - 44 \, x^{8} + 284 \, x^{7} + 14 \, x^{6} - 284 \, x^{5} - 44 \, x^{4} + 67 \, x^{3} + 13 \, x^{2} - x\right)} - 5 \, x\right)} - 100 \, \sqrt{5} {\left(x^{11} - 3 \, x^{10} - 3 \, x^{9} + 4 \, x^{8} - 4 \, x^{7} + 14 \, x^{6} + 4 \, x^{5} + 4 \, x^{4} + 3 \, x^{3} - 3 \, x^{2} - x\right)} - 100 \, x}{200 \, {\left(x^{11} - 9 \, x^{10} - 45 \, x^{9} + 180 \, x^{8} + 18 \, x^{7} - 326 \, x^{6} - 18 \, x^{5} + 180 \, x^{4} + 45 \, x^{3} - 9 \, x^{2} - x\right)}}\right) + \frac{1}{2} \, \arctan\left(\frac{x^{2} - 2 \, x - 1}{2 \, \sqrt{x^{3} - x^{2} - x}}\right)"," ",0,"1/160*5^(1/4)*(sqrt(5)*sqrt(2) - sqrt(2))*sqrt(sqrt(5) + 5)*log(5*(5*x^4 - 20*x^3 + 5^(1/4)*sqrt(x^3 - x^2 - x)*(sqrt(5)*sqrt(2)*(x^2 - 6*x - 1) - 5*sqrt(2)*(x^2 - 2*x - 1))*sqrt(sqrt(5) + 5) + 30*x^2 + 20*sqrt(5)*(x^3 - x^2 - x) + 20*x + 5)/(x^4 + 2*x^2 + 1)) - 1/160*5^(1/4)*(sqrt(5)*sqrt(2) - sqrt(2))*sqrt(sqrt(5) + 5)*log(5*(5*x^4 - 20*x^3 - 5^(1/4)*sqrt(x^3 - x^2 - x)*(sqrt(5)*sqrt(2)*(x^2 - 6*x - 1) - 5*sqrt(2)*(x^2 - 2*x - 1))*sqrt(sqrt(5) + 5) + 30*x^2 + 20*sqrt(5)*(x^3 - x^2 - x) + 20*x + 5)/(x^4 + 2*x^2 + 1)) - 1/20*5^(1/4)*sqrt(2)*sqrt(sqrt(5) + 5)*arctan(-1/200*(100*x^11 + 1300*x^10 - 6700*x^9 - 4400*x^8 + 28400*x^7 + 1400*x^6 - 28400*x^5 - 4400*x^4 + 6700*x^3 + 1300*x^2 + 5*sqrt(x^3 - x^2 - x)*(5^(3/4)*(sqrt(5)*sqrt(2)*(x^10 - 4*x^9 - 17*x^8 + 56*x^7 + 78*x^6 - 136*x^5 - 78*x^4 + 56*x^3 + 17*x^2 - 4*x - 1) - sqrt(2)*(x^10 + 8*x^9 - 57*x^8 - 24*x^7 + 294*x^6 + 64*x^5 - 294*x^4 - 24*x^3 + 57*x^2 + 8*x - 1)) + 4*5^(1/4)*(sqrt(5)*sqrt(2)*(3*x^9 + 7*x^8 + 14*x^7 - 81*x^6 - 10*x^5 + 81*x^4 + 14*x^3 - 7*x^2 + 3*x) - 5*sqrt(2)*(x^9 + 9*x^8 - 18*x^7 - 15*x^6 + 26*x^5 + 15*x^4 - 18*x^3 - 9*x^2 + x)))*sqrt(sqrt(5) + 5) - sqrt(5)*(240*x^10 + 160*x^9 - 1680*x^8 - 480*x^7 + 3200*x^6 + 480*x^5 - 1680*x^4 - 160*x^3 + 240*x^2 + sqrt(x^3 - x^2 - x)*(5^(3/4)*(sqrt(5)*sqrt(2)*(x^10 - 6*x^9 - 25*x^8 + 120*x^7 - 58*x^6 - 196*x^5 + 58*x^4 + 120*x^3 + 25*x^2 - 6*x - 1) - sqrt(2)*(x^10 - 2*x^9 - 17*x^8 + 216*x^7 - 306*x^6 - 396*x^5 + 306*x^4 + 216*x^3 + 17*x^2 - 2*x - 1)) + 4*5^(1/4)*(sqrt(5)*sqrt(2)*(3*x^9 - 3*x^8 - 56*x^7 + 69*x^6 + 90*x^5 - 69*x^4 - 56*x^3 + 3*x^2 + 3*x) - 5*sqrt(2)*(x^9 + 3*x^8 - 28*x^7 + 11*x^6 + 54*x^5 - 11*x^4 - 28*x^3 - 3*x^2 + x)))*sqrt(sqrt(5) + 5) + 4*sqrt(5)*(5*x^11 - 25*x^10 - 105*x^9 + 440*x^8 + 50*x^7 - 830*x^6 - 50*x^5 + 440*x^4 + 105*x^3 - 25*x^2 - sqrt(5)*(x^11 + 3*x^10 - 37*x^9 + 96*x^8 - 6*x^7 - 166*x^6 + 6*x^5 + 96*x^4 + 37*x^3 + 3*x^2 - x) - 5*x) - 80*sqrt(5)*(x^10 + 6*x^9 - 23*x^8 - 2*x^7 + 40*x^6 + 2*x^5 - 23*x^4 - 6*x^3 + x^2))*sqrt((5*x^4 - 20*x^3 + 5^(1/4)*sqrt(x^3 - x^2 - x)*(sqrt(5)*sqrt(2)*(x^2 - 6*x - 1) - 5*sqrt(2)*(x^2 - 2*x - 1))*sqrt(sqrt(5) + 5) + 30*x^2 + 20*sqrt(5)*(x^3 - x^2 - x) + 20*x + 5)/(x^4 + 2*x^2 + 1)) + 20*sqrt(5)*(5*x^11 - 15*x^10 - 15*x^9 + 20*x^8 - 20*x^7 + 70*x^6 + 20*x^5 + 20*x^4 + 15*x^3 - 15*x^2 - sqrt(5)*(x^11 + 13*x^10 - 67*x^9 - 44*x^8 + 284*x^7 + 14*x^6 - 284*x^5 - 44*x^4 + 67*x^3 + 13*x^2 - x) - 5*x) - 100*sqrt(5)*(x^11 - 3*x^10 - 3*x^9 + 4*x^8 - 4*x^7 + 14*x^6 + 4*x^5 + 4*x^4 + 3*x^3 - 3*x^2 - x) - 100*x)/(x^11 - 9*x^10 - 45*x^9 + 180*x^8 + 18*x^7 - 326*x^6 - 18*x^5 + 180*x^4 + 45*x^3 - 9*x^2 - x)) - 1/20*5^(1/4)*sqrt(2)*sqrt(sqrt(5) + 5)*arctan(1/200*(100*x^11 + 1300*x^10 - 6700*x^9 - 4400*x^8 + 28400*x^7 + 1400*x^6 - 28400*x^5 - 4400*x^4 + 6700*x^3 + 1300*x^2 - 5*sqrt(x^3 - x^2 - x)*(5^(3/4)*(sqrt(5)*sqrt(2)*(x^10 - 4*x^9 - 17*x^8 + 56*x^7 + 78*x^6 - 136*x^5 - 78*x^4 + 56*x^3 + 17*x^2 - 4*x - 1) - sqrt(2)*(x^10 + 8*x^9 - 57*x^8 - 24*x^7 + 294*x^6 + 64*x^5 - 294*x^4 - 24*x^3 + 57*x^2 + 8*x - 1)) + 4*5^(1/4)*(sqrt(5)*sqrt(2)*(3*x^9 + 7*x^8 + 14*x^7 - 81*x^6 - 10*x^5 + 81*x^4 + 14*x^3 - 7*x^2 + 3*x) - 5*sqrt(2)*(x^9 + 9*x^8 - 18*x^7 - 15*x^6 + 26*x^5 + 15*x^4 - 18*x^3 - 9*x^2 + x)))*sqrt(sqrt(5) + 5) - sqrt(5)*(240*x^10 + 160*x^9 - 1680*x^8 - 480*x^7 + 3200*x^6 + 480*x^5 - 1680*x^4 - 160*x^3 + 240*x^2 - sqrt(x^3 - x^2 - x)*(5^(3/4)*(sqrt(5)*sqrt(2)*(x^10 - 6*x^9 - 25*x^8 + 120*x^7 - 58*x^6 - 196*x^5 + 58*x^4 + 120*x^3 + 25*x^2 - 6*x - 1) - sqrt(2)*(x^10 - 2*x^9 - 17*x^8 + 216*x^7 - 306*x^6 - 396*x^5 + 306*x^4 + 216*x^3 + 17*x^2 - 2*x - 1)) + 4*5^(1/4)*(sqrt(5)*sqrt(2)*(3*x^9 - 3*x^8 - 56*x^7 + 69*x^6 + 90*x^5 - 69*x^4 - 56*x^3 + 3*x^2 + 3*x) - 5*sqrt(2)*(x^9 + 3*x^8 - 28*x^7 + 11*x^6 + 54*x^5 - 11*x^4 - 28*x^3 - 3*x^2 + x)))*sqrt(sqrt(5) + 5) + 4*sqrt(5)*(5*x^11 - 25*x^10 - 105*x^9 + 440*x^8 + 50*x^7 - 830*x^6 - 50*x^5 + 440*x^4 + 105*x^3 - 25*x^2 - sqrt(5)*(x^11 + 3*x^10 - 37*x^9 + 96*x^8 - 6*x^7 - 166*x^6 + 6*x^5 + 96*x^4 + 37*x^3 + 3*x^2 - x) - 5*x) - 80*sqrt(5)*(x^10 + 6*x^9 - 23*x^8 - 2*x^7 + 40*x^6 + 2*x^5 - 23*x^4 - 6*x^3 + x^2))*sqrt((5*x^4 - 20*x^3 - 5^(1/4)*sqrt(x^3 - x^2 - x)*(sqrt(5)*sqrt(2)*(x^2 - 6*x - 1) - 5*sqrt(2)*(x^2 - 2*x - 1))*sqrt(sqrt(5) + 5) + 30*x^2 + 20*sqrt(5)*(x^3 - x^2 - x) + 20*x + 5)/(x^4 + 2*x^2 + 1)) + 20*sqrt(5)*(5*x^11 - 15*x^10 - 15*x^9 + 20*x^8 - 20*x^7 + 70*x^6 + 20*x^5 + 20*x^4 + 15*x^3 - 15*x^2 - sqrt(5)*(x^11 + 13*x^10 - 67*x^9 - 44*x^8 + 284*x^7 + 14*x^6 - 284*x^5 - 44*x^4 + 67*x^3 + 13*x^2 - x) - 5*x) - 100*sqrt(5)*(x^11 - 3*x^10 - 3*x^9 + 4*x^8 - 4*x^7 + 14*x^6 + 4*x^5 + 4*x^4 + 3*x^3 - 3*x^2 - x) - 100*x)/(x^11 - 9*x^10 - 45*x^9 + 180*x^8 + 18*x^7 - 326*x^6 - 18*x^5 + 180*x^4 + 45*x^3 - 9*x^2 - x)) + 1/2*arctan(1/2*(x^2 - 2*x - 1)/sqrt(x^3 - x^2 - x))","B",0
1892,1,327,0,33.059499," ","integrate((x^3-1)*(x^6+1)^(1/3)/x^2/(x^3+1),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} \left(-2\right)^{\frac{1}{3}} x \arctan\left(\frac{6 \, \sqrt{3} \left(-2\right)^{\frac{2}{3}} {\left(x^{14} - 14 \, x^{11} + 6 \, x^{8} - 14 \, x^{5} + x^{2}\right)} {\left(x^{6} + 1\right)}^{\frac{1}{3}} + 6 \, \sqrt{3} \left(-2\right)^{\frac{1}{3}} {\left(x^{13} - 2 \, x^{10} - 6 \, x^{7} - 2 \, x^{4} + x\right)} {\left(x^{6} + 1\right)}^{\frac{2}{3}} + \sqrt{3} {\left(x^{18} - 30 \, x^{15} + 51 \, x^{12} - 52 \, x^{9} + 51 \, x^{6} - 30 \, x^{3} + 1\right)}}{3 \, {\left(x^{18} + 6 \, x^{15} - 93 \, x^{12} + 20 \, x^{9} - 93 \, x^{6} + 6 \, x^{3} + 1\right)}}\right) + 2 \, \left(-2\right)^{\frac{1}{3}} x \log\left(-\frac{6 \, \left(-2\right)^{\frac{1}{3}} {\left(x^{6} + 1\right)}^{\frac{1}{3}} x^{2} - \left(-2\right)^{\frac{2}{3}} {\left(x^{6} + 2 \, x^{3} + 1\right)} - 6 \, {\left(x^{6} + 1\right)}^{\frac{2}{3}} x}{x^{6} + 2 \, x^{3} + 1}\right) - \left(-2\right)^{\frac{1}{3}} x \log\left(-\frac{3 \, \left(-2\right)^{\frac{2}{3}} {\left(x^{7} - 4 \, x^{4} + x\right)} {\left(x^{6} + 1\right)}^{\frac{2}{3}} + \left(-2\right)^{\frac{1}{3}} {\left(x^{12} - 14 \, x^{9} + 6 \, x^{6} - 14 \, x^{3} + 1\right)} - 12 \, {\left(x^{8} - x^{5} + x^{2}\right)} {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{12} + 4 \, x^{9} + 6 \, x^{6} + 4 \, x^{3} + 1}\right) + 18 \, {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{18 \, x}"," ",0,"1/18*(2*sqrt(3)*(-2)^(1/3)*x*arctan(1/3*(6*sqrt(3)*(-2)^(2/3)*(x^14 - 14*x^11 + 6*x^8 - 14*x^5 + x^2)*(x^6 + 1)^(1/3) + 6*sqrt(3)*(-2)^(1/3)*(x^13 - 2*x^10 - 6*x^7 - 2*x^4 + x)*(x^6 + 1)^(2/3) + sqrt(3)*(x^18 - 30*x^15 + 51*x^12 - 52*x^9 + 51*x^6 - 30*x^3 + 1))/(x^18 + 6*x^15 - 93*x^12 + 20*x^9 - 93*x^6 + 6*x^3 + 1)) + 2*(-2)^(1/3)*x*log(-(6*(-2)^(1/3)*(x^6 + 1)^(1/3)*x^2 - (-2)^(2/3)*(x^6 + 2*x^3 + 1) - 6*(x^6 + 1)^(2/3)*x)/(x^6 + 2*x^3 + 1)) - (-2)^(1/3)*x*log(-(3*(-2)^(2/3)*(x^7 - 4*x^4 + x)*(x^6 + 1)^(2/3) + (-2)^(1/3)*(x^12 - 14*x^9 + 6*x^6 - 14*x^3 + 1) - 12*(x^8 - x^5 + x^2)*(x^6 + 1)^(1/3))/(x^12 + 4*x^9 + 6*x^6 + 4*x^3 + 1)) + 18*(x^6 + 1)^(1/3))/x","B",0
1893,1,334,0,175.694446," ","integrate((x^6-2)*(x^6+2)^(1/3)/x^2/(x^6+2*x^3+2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} \left(-2\right)^{\frac{1}{3}} x \arctan\left(\frac{6 \, \sqrt{3} \left(-2\right)^{\frac{2}{3}} {\left(x^{14} - 14 \, x^{11} + 8 \, x^{8} - 28 \, x^{5} + 4 \, x^{2}\right)} {\left(x^{6} + 2\right)}^{\frac{1}{3}} + 6 \, \sqrt{3} \left(-2\right)^{\frac{1}{3}} {\left(x^{13} - 2 \, x^{10} - 4 \, x^{7} - 4 \, x^{4} + 4 \, x\right)} {\left(x^{6} + 2\right)}^{\frac{2}{3}} + \sqrt{3} {\left(x^{18} - 30 \, x^{15} + 54 \, x^{12} - 112 \, x^{9} + 108 \, x^{6} - 120 \, x^{3} + 8\right)}}{3 \, {\left(x^{18} + 6 \, x^{15} - 90 \, x^{12} + 32 \, x^{9} - 180 \, x^{6} + 24 \, x^{3} + 8\right)}}\right) + 2 \, \left(-2\right)^{\frac{1}{3}} x \log\left(\frac{6 \, \left(-2\right)^{\frac{1}{3}} {\left(x^{6} + 2\right)}^{\frac{1}{3}} x^{2} - \left(-2\right)^{\frac{2}{3}} {\left(x^{6} + 2 \, x^{3} + 2\right)} - 6 \, {\left(x^{6} + 2\right)}^{\frac{2}{3}} x}{x^{6} + 2 \, x^{3} + 2}\right) - \left(-2\right)^{\frac{1}{3}} x \log\left(-\frac{3 \, \left(-2\right)^{\frac{2}{3}} {\left(x^{7} - 4 \, x^{4} + 2 \, x\right)} {\left(x^{6} + 2\right)}^{\frac{2}{3}} + \left(-2\right)^{\frac{1}{3}} {\left(x^{12} - 14 \, x^{9} + 8 \, x^{6} - 28 \, x^{3} + 4\right)} - 12 \, {\left(x^{8} - x^{5} + 2 \, x^{2}\right)} {\left(x^{6} + 2\right)}^{\frac{1}{3}}}{x^{12} + 4 \, x^{9} + 8 \, x^{6} + 8 \, x^{3} + 4}\right) + 18 \, {\left(x^{6} + 2\right)}^{\frac{1}{3}}}{18 \, x}"," ",0,"1/18*(2*sqrt(3)*(-2)^(1/3)*x*arctan(1/3*(6*sqrt(3)*(-2)^(2/3)*(x^14 - 14*x^11 + 8*x^8 - 28*x^5 + 4*x^2)*(x^6 + 2)^(1/3) + 6*sqrt(3)*(-2)^(1/3)*(x^13 - 2*x^10 - 4*x^7 - 4*x^4 + 4*x)*(x^6 + 2)^(2/3) + sqrt(3)*(x^18 - 30*x^15 + 54*x^12 - 112*x^9 + 108*x^6 - 120*x^3 + 8))/(x^18 + 6*x^15 - 90*x^12 + 32*x^9 - 180*x^6 + 24*x^3 + 8)) + 2*(-2)^(1/3)*x*log((6*(-2)^(1/3)*(x^6 + 2)^(1/3)*x^2 - (-2)^(2/3)*(x^6 + 2*x^3 + 2) - 6*(x^6 + 2)^(2/3)*x)/(x^6 + 2*x^3 + 2)) - (-2)^(1/3)*x*log(-(3*(-2)^(2/3)*(x^7 - 4*x^4 + 2*x)*(x^6 + 2)^(2/3) + (-2)^(1/3)*(x^12 - 14*x^9 + 8*x^6 - 28*x^3 + 4) - 12*(x^8 - x^5 + 2*x^2)*(x^6 + 2)^(1/3))/(x^12 + 4*x^9 + 8*x^6 + 8*x^3 + 4)) + 18*(x^6 + 2)^(1/3))/x","B",0
1894,1,292,0,2.760362," ","integrate((x^3+1)^(2/3)*(2*x^6-2*x^3-1)/x^6/(2*x^6+x^3-1),x, algorithm=""fricas"")","\frac{20 \cdot 3^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} x^{5} \log\left(\frac{9 \cdot 3^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} + 3^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(2 \, x^{3} - 1\right)} - 9 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} x}{2 \, x^{3} - 1}\right) - 10 \cdot 3^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} x^{5} \log\left(-\frac{3 \cdot 3^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(7 \, x^{4} + x\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}} - 3^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(31 \, x^{6} + 23 \, x^{3} + 1\right)} - 9 \, {\left(5 \, x^{5} + 2 \, x^{2}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{4 \, x^{6} - 4 \, x^{3} + 1}\right) - 60 \cdot 3^{\frac{1}{6}} \left(-1\right)^{\frac{1}{3}} x^{5} \arctan\left(\frac{3^{\frac{1}{6}} {\left(6 \cdot 3^{\frac{2}{3}} \left(-1\right)^{\frac{2}{3}} {\left(14 \, x^{7} - 5 \, x^{4} - x\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}} + 18 \, \left(-1\right)^{\frac{1}{3}} {\left(31 \, x^{8} + 23 \, x^{5} + x^{2}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}} - 3^{\frac{1}{3}} {\left(127 \, x^{9} + 201 \, x^{6} + 48 \, x^{3} + 1\right)}\right)}}{3 \, {\left(251 \, x^{9} + 231 \, x^{6} + 6 \, x^{3} - 1\right)}}\right) - 9 \, {\left(17 \, x^{3} + 2\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{90 \, x^{5}}"," ",0,"1/90*(20*3^(2/3)*(-1)^(1/3)*x^5*log((9*3^(1/3)*(-1)^(2/3)*(x^3 + 1)^(1/3)*x^2 + 3^(2/3)*(-1)^(1/3)*(2*x^3 - 1) - 9*(x^3 + 1)^(2/3)*x)/(2*x^3 - 1)) - 10*3^(2/3)*(-1)^(1/3)*x^5*log(-(3*3^(2/3)*(-1)^(1/3)*(7*x^4 + x)*(x^3 + 1)^(2/3) - 3^(1/3)*(-1)^(2/3)*(31*x^6 + 23*x^3 + 1) - 9*(5*x^5 + 2*x^2)*(x^3 + 1)^(1/3))/(4*x^6 - 4*x^3 + 1)) - 60*3^(1/6)*(-1)^(1/3)*x^5*arctan(1/3*3^(1/6)*(6*3^(2/3)*(-1)^(2/3)*(14*x^7 - 5*x^4 - x)*(x^3 + 1)^(2/3) + 18*(-1)^(1/3)*(31*x^8 + 23*x^5 + x^2)*(x^3 + 1)^(1/3) - 3^(1/3)*(127*x^9 + 201*x^6 + 48*x^3 + 1))/(251*x^9 + 231*x^6 + 6*x^3 - 1)) - 9*(17*x^3 + 2)*(x^3 + 1)^(2/3))/x^5","B",0
1895,1,2741,0,11.849200," ","integrate((x^3+1)*(-x^4+x)^(1/2)/(3*x^6+4*x^3+2),x, algorithm=""fricas"")","-\frac{1}{1008} \cdot 2^{\frac{3}{4}} \sqrt{4 \, \sqrt{2} + 9} {\left(4 \, \sqrt{2} - 9\right)} \log\left(-\frac{6360849 \, {\left(168 \, x^{6} - 168 \, x^{3} + 2 \cdot 2^{\frac{3}{4}} {\left(28 \, x^{4} - 3 \, \sqrt{2} {\left(7 \, x^{4} - 2 \, x\right)} - 10 \, x\right)} \sqrt{-x^{4} + x} \sqrt{4 \, \sqrt{2} + 9} - 7 \, \sqrt{2} {\left(19 \, x^{6} - 12 \, x^{3} + 2\right)}\right)}}{7 \, {\left(3 \, x^{6} + 4 \, x^{3} + 2\right)}}\right) + \frac{1}{1008} \cdot 2^{\frac{3}{4}} \sqrt{4 \, \sqrt{2} + 9} {\left(4 \, \sqrt{2} - 9\right)} \log\left(-\frac{6360849 \, {\left(168 \, x^{6} - 168 \, x^{3} - 2 \cdot 2^{\frac{3}{4}} {\left(28 \, x^{4} - 3 \, \sqrt{2} {\left(7 \, x^{4} - 2 \, x\right)} - 10 \, x\right)} \sqrt{-x^{4} + x} \sqrt{4 \, \sqrt{2} + 9} - 7 \, \sqrt{2} {\left(19 \, x^{6} - 12 \, x^{3} + 2\right)}\right)}}{7 \, {\left(3 \, x^{6} + 4 \, x^{3} + 2\right)}}\right) - \frac{1}{36} \cdot 2^{\frac{3}{4}} \sqrt{4 \, \sqrt{2} + 9} \arctan\left(-\frac{8632050444092280152834837119864926 \, x^{36} + 9161521558932209861778630592599792 \, x^{33} - 17260935589581589566186845470001928 \, x^{30} - 22417539871410114792789642783506784 \, x^{27} + 8632251370051221229521254573075784 \, x^{24} + 17941208497396218206799599939395968 \, x^{21} + 111688867273889746553275629025344 \, x^{18} - 5493502622574650172977792469639936 \, x^{15} + 30905337002436620764838266192416 \, x^{12} + 790651863971902368236671518751488 \, x^{9} - 138031505983935794529450862913664 \, x^{6} + 128904768594387196852145177088 \, x^{3} + 12721698 \, \sqrt{2} \sqrt{-x^{4} + x} {\left(2^{\frac{3}{4}} {\left(155068222869201603274217652 \, x^{34} + 252837956784573083685349366 \, x^{31} - 299319523809873331574781920 \, x^{28} - 586004622273400652833815356 \, x^{25} + 121997183777565423757231456 \, x^{22} + 419025032959227012317601072 \, x^{19} + 28076058669471027380499328 \, x^{16} - 90013541853774632322919520 \, x^{13} - 4918374089438875919755968 \, x^{10} + 5625954326986205601627616 \, x^{7} + 48339376368627709608960 \, x^{4} - 3 \, \sqrt{2} {\left(16825352941418359482113253 \, x^{34} + 59987578296866209972620350 \, x^{31} - 6580181442381755563592634 \, x^{28} - 133348333567725981519681428 \, x^{25} - 43202477060524375944383896 \, x^{22} + 90505619247446912851428400 \, x^{19} + 38246898150105540704718192 \, x^{16} - 19238762657512258793540000 \, x^{13} - 5649039556365590504631024 \, x^{10} + 1892796862144660136321888 \, x^{7} - 11363374832743038268448 \, x^{4} + 145841485650323828672 \, x\right)} - 619706421311517572800 \, x\right)} - 16 \cdot 2^{\frac{1}{4}} {\left(34061651742756490436056644 \, x^{34} + 95703917494121772333264282 \, x^{31} + 22588579341510421818747546 \, x^{28} - 144065524109011381824443844 \, x^{25} - 111261131573116451568361236 \, x^{22} + 45474265224424729086049080 \, x^{19} + 64882637947323391431307656 \, x^{16} + 5306970009315400116931728 \, x^{13} - 10505618506466998937300016 \, x^{10} - 2392945547527543470258048 \, x^{7} + 207197976670170578006208 \, x^{4} + \sqrt{2} {\left(12030880734706239561839937 \, x^{34} + 44933301219178895918527241 \, x^{31} + 46944706396173846244715276 \, x^{28} - 35613080256963383211529986 \, x^{25} - 97068552946327814904168272 \, x^{22} - 32620008949099351619636380 \, x^{19} + 38469908845526136232962336 \, x^{16} + 24972611089770871113434152 \, x^{13} - 504271448925687639314320 \, x^{10} - 1692005295003728616548448 \, x^{7} + 146510610963976919718464 \, x^{4}\right)}\right)}\right)} \sqrt{4 \, \sqrt{2} + 9} + 99 \, \sqrt{\frac{649}{7}} {\left(\sqrt{2} {\left(2^{\frac{3}{4}} {\left(3121596530260239669336820157913 \, x^{36} + 5834255341413061687138179876792 \, x^{33} - 6888167414217170094657282052608 \, x^{30} - 13995366187142943155635818597216 \, x^{27} + 4523218796861744773348981882116 \, x^{24} + 10950989276996393893976849951808 \, x^{21} - 1093549213499303367270942631488 \, x^{18} - 3077112817453062541515435758592 \, x^{15} + 381460432275327319018147934640 \, x^{12} + 300850897180239679913838976896 \, x^{9} - 58555914471835493587554868992 \, x^{6} - 5108884480838567481905664 \, x^{3} - 2 \, \sqrt{2} {\left(1086133862743827732006103951791 \, x^{36} + 2078536628748868754952479046197 \, x^{33} - 2374524441070525146385161658610 \, x^{30} - 4992736270966904035107639005666 \, x^{27} + 1517995330234711341166019538136 \, x^{24} + 3915463113897739790410043247464 \, x^{21} - 338072542128739686425119214608 \, x^{18} - 1104683428514778558567052777424 \, x^{15} + 124434881558629873274651070128 \, x^{12} + 108391044654310593595674374672 \, x^{9} - 20827411787368918663045438624 \, x^{6} + 1406128425854828903266144 \, x^{3} - 13507123892806437370880\right)} + 46404763143266731467456\right)} - 16 \cdot 2^{\frac{1}{4}} {\left(248250202572925434417171709641 \, x^{36} + 392158279593892776753649524707 \, x^{33} - 764365510952128583802234715988 \, x^{30} - 1158625043830399121658197199928 \, x^{27} + 744974044625885970803079278080 \, x^{24} + 1186605786206243645868681816096 \, x^{21} - 210612742993896435791727033808 \, x^{18} - 457525832401022893299363583856 \, x^{15} - 20029782308524211147631862800 \, x^{12} + 38604316354119658596668068688 \, x^{9} + 580441335212311981979699072 \, x^{6} - 14158202308552722075699904 \, x^{3} - 18 \, \sqrt{2} {\left(8564251745904023585195931603 \, x^{36} + 12750457151213196303514367536 \, x^{33} - 28534154646070291083552637573 \, x^{30} - 38161333576607079640202027588 \, x^{27} + 31883784694614085184693919794 \, x^{24} + 40679760423015746022246526032 \, x^{21} - 12754053545003855227347594068 \, x^{18} - 17014472745812489197655856688 \, x^{15} + 815653447800013477852821480 \, x^{12} + 1792322302234552578825256576 \, x^{9} - 22771207005398409855974432 \, x^{6} + 555955717496406285267328 \, x^{3}\right)}\right)}\right)} \sqrt{4 \, \sqrt{2} + 9} - 28 \, {\left(524236500266665825730685749760 \, x^{34} + 1332404845015756903230965089536 \, x^{31} - 130480878679520904884096757504 \, x^{28} - 2107192014832089761023279214592 \, x^{25} - 612492456088768126642309490688 \, x^{22} + 988722784766968088259898358784 \, x^{19} + 228997944867525635371563924480 \, x^{16} - 235754311387964830721719050240 \, x^{13} - 8539169464378485377627922432 \, x^{10} + 23301104080816172474328858624 \, x^{7} - 3204348545010516418409545728 \, x^{4} - \sqrt{2} {\left(328841013685710897201295863120 \, x^{34} + 712423623928727497352013174712 \, x^{31} - 507875961967949035452802264160 \, x^{28} - 1634077001729216627778034549952 \, x^{25} - 30119552846381515879483912064 \, x^{22} + 1159152878738410570103304835584 \, x^{19} + 252390387321045426549485332480 \, x^{16} - 254589968502812873449866789248 \, x^{13} - 43069085653914687948369003264 \, x^{10} + 19342332894031279621629314176 \, x^{7} - 43928868748816117016977920 \, x^{4} - 6360849 \, \sqrt{2} {\left(33227621146716099962831 \, x^{34} + 75316178531714961613054 \, x^{31} - 46850423411517051236214 \, x^{28} - 168426333235143900655124 \, x^{25} - 10554911710188156761256 \, x^{22} + 114645820898039007484144 \, x^{19} + 27634437117784163769424 \, x^{16} - 23483842011297496036128 \, x^{13} - 3713017786705821859664 \, x^{10} + 1934426021997052439648 \, x^{7} + 4921845856891760672 \, x^{4} - 66678885297238592 \, x\right)} + 597251310504684115083776 \, x\right)} - 16 \, \sqrt{2} {\left(10247401636214771696674632303 \, x^{34} + 3275263563747727892387456203 \, x^{31} - 80962254423821149367897353376 \, x^{28} - 87514720507317003029708428470 \, x^{25} + 80176236326587548057900990584 \, x^{22} + 132642871210885978930084859404 \, x^{19} + 8584531730908213324425520080 \, x^{16} - 47307947259275353642309640776 \, x^{13} - 18253055338878700118700816272 \, x^{10} - 1029941776235616195421930656 \, x^{7} + 141614837183582452564710976 \, x^{4}\right)}\right)} \sqrt{-x^{4} + x}\right)} \sqrt{-\frac{168 \, x^{6} - 168 \, x^{3} + 2 \cdot 2^{\frac{3}{4}} {\left(28 \, x^{4} - 3 \, \sqrt{2} {\left(7 \, x^{4} - 2 \, x\right)} - 10 \, x\right)} \sqrt{-x^{4} + x} \sqrt{4 \, \sqrt{2} + 9} - 7 \, \sqrt{2} {\left(19 \, x^{6} - 12 \, x^{3} + 2\right)}}{3 \, x^{6} + 4 \, x^{3} + 2}} + 56 \, \sqrt{2} {\left(218241848288644389389848879258650 \, x^{36} + 251359916402604912653099443236315 \, x^{33} - 653777886516007933475373096546014 \, x^{30} - 750700155453942593740040211672026 \, x^{27} + 686862970976966659426192517349092 \, x^{24} + 795085121396131507309277160898104 \, x^{21} - 289632726736470239458313325939952 \, x^{18} - 341211879567795800265863199007312 \, x^{15} + 40768303155595910162237651899968 \, x^{12} + 45519347077752749837422618635632 \, x^{9} - 2637210339419949781840773265504 \, x^{6} + 1616891482648877834396339936 \, x^{3} - 14541470867755473408047552\right)} - 712415088 \, \sqrt{2} {\left(18379641660262029137485017 \, x^{36} + 22231658947052511977755683 \, x^{33} - 54662171636081293533253176 \, x^{30} - 68425267185349358200890180 \, x^{27} + 52213949743345144992129576 \, x^{24} + 71314761668688399743404920 \, x^{21} - 16482475575272462172115776 \, x^{18} - 28047105217963056593939424 \, x^{15} + 727273483738706512589904 \, x^{12} + 2943581370971382216583536 \, x^{9} - 198227704559878256174208 \, x^{6} + 4380445167874176424128 \, x^{3} + \sqrt{2} {\left(4881768880653219801142320 \, x^{36} + 3033693318603343422286517 \, x^{33} - 12850910120393402178568823 \, x^{30} - 10509476546055773838812134 \, x^{27} + 10106491657868602044833128 \, x^{24} + 10804600615433251603874088 \, x^{21} - 2531419719312256190585608 \, x^{18} - 3921202481378418716194160 \, x^{15} + 552408965265963731159328 \, x^{12} + 571130043714430822119440 \, x^{9} - 140182162318662558387184 \, x^{6} + 3097547919702057133088 \, x^{3}\right)}\right)} - 1156571977971226039247832192}{14 \, {\left(3762427081761160088770877747039271 \, x^{36} + 11176455591989619085097268601346040 \, x^{33} - 405206787589120595364629876997268 \, x^{30} - 26441727421386436860245914517793136 \, x^{27} - 15623066860355145469583071278966908 \, x^{24} + 18378215491781049218505676436316864 \, x^{21} + 17501761125917080810108705358759584 \, x^{18} - 2116382992907014932708830590815104 \, x^{15} - 5346369944939979467516460009090672 \, x^{12} - 995484862411051605673619483583104 \, x^{9} + 109315127011405789944450185284288 \, x^{6} + 1083296843887043076993611008 \, x^{3} - 7632135417534638943928384\right)}}\right) - \frac{1}{36} \cdot 2^{\frac{3}{4}} \sqrt{4 \, \sqrt{2} + 9} \arctan\left(\frac{8632050444092280152834837119864926 \, x^{36} + 9161521558932209861778630592599792 \, x^{33} - 17260935589581589566186845470001928 \, x^{30} - 22417539871410114792789642783506784 \, x^{27} + 8632251370051221229521254573075784 \, x^{24} + 17941208497396218206799599939395968 \, x^{21} + 111688867273889746553275629025344 \, x^{18} - 5493502622574650172977792469639936 \, x^{15} + 30905337002436620764838266192416 \, x^{12} + 790651863971902368236671518751488 \, x^{9} - 138031505983935794529450862913664 \, x^{6} + 128904768594387196852145177088 \, x^{3} - 12721698 \, \sqrt{2} \sqrt{-x^{4} + x} {\left(2^{\frac{3}{4}} {\left(155068222869201603274217652 \, x^{34} + 252837956784573083685349366 \, x^{31} - 299319523809873331574781920 \, x^{28} - 586004622273400652833815356 \, x^{25} + 121997183777565423757231456 \, x^{22} + 419025032959227012317601072 \, x^{19} + 28076058669471027380499328 \, x^{16} - 90013541853774632322919520 \, x^{13} - 4918374089438875919755968 \, x^{10} + 5625954326986205601627616 \, x^{7} + 48339376368627709608960 \, x^{4} - 3 \, \sqrt{2} {\left(16825352941418359482113253 \, x^{34} + 59987578296866209972620350 \, x^{31} - 6580181442381755563592634 \, x^{28} - 133348333567725981519681428 \, x^{25} - 43202477060524375944383896 \, x^{22} + 90505619247446912851428400 \, x^{19} + 38246898150105540704718192 \, x^{16} - 19238762657512258793540000 \, x^{13} - 5649039556365590504631024 \, x^{10} + 1892796862144660136321888 \, x^{7} - 11363374832743038268448 \, x^{4} + 145841485650323828672 \, x\right)} - 619706421311517572800 \, x\right)} - 16 \cdot 2^{\frac{1}{4}} {\left(34061651742756490436056644 \, x^{34} + 95703917494121772333264282 \, x^{31} + 22588579341510421818747546 \, x^{28} - 144065524109011381824443844 \, x^{25} - 111261131573116451568361236 \, x^{22} + 45474265224424729086049080 \, x^{19} + 64882637947323391431307656 \, x^{16} + 5306970009315400116931728 \, x^{13} - 10505618506466998937300016 \, x^{10} - 2392945547527543470258048 \, x^{7} + 207197976670170578006208 \, x^{4} + \sqrt{2} {\left(12030880734706239561839937 \, x^{34} + 44933301219178895918527241 \, x^{31} + 46944706396173846244715276 \, x^{28} - 35613080256963383211529986 \, x^{25} - 97068552946327814904168272 \, x^{22} - 32620008949099351619636380 \, x^{19} + 38469908845526136232962336 \, x^{16} + 24972611089770871113434152 \, x^{13} - 504271448925687639314320 \, x^{10} - 1692005295003728616548448 \, x^{7} + 146510610963976919718464 \, x^{4}\right)}\right)}\right)} \sqrt{4 \, \sqrt{2} + 9} - 99 \, \sqrt{\frac{649}{7}} {\left(\sqrt{2} {\left(2^{\frac{3}{4}} {\left(3121596530260239669336820157913 \, x^{36} + 5834255341413061687138179876792 \, x^{33} - 6888167414217170094657282052608 \, x^{30} - 13995366187142943155635818597216 \, x^{27} + 4523218796861744773348981882116 \, x^{24} + 10950989276996393893976849951808 \, x^{21} - 1093549213499303367270942631488 \, x^{18} - 3077112817453062541515435758592 \, x^{15} + 381460432275327319018147934640 \, x^{12} + 300850897180239679913838976896 \, x^{9} - 58555914471835493587554868992 \, x^{6} - 5108884480838567481905664 \, x^{3} - 2 \, \sqrt{2} {\left(1086133862743827732006103951791 \, x^{36} + 2078536628748868754952479046197 \, x^{33} - 2374524441070525146385161658610 \, x^{30} - 4992736270966904035107639005666 \, x^{27} + 1517995330234711341166019538136 \, x^{24} + 3915463113897739790410043247464 \, x^{21} - 338072542128739686425119214608 \, x^{18} - 1104683428514778558567052777424 \, x^{15} + 124434881558629873274651070128 \, x^{12} + 108391044654310593595674374672 \, x^{9} - 20827411787368918663045438624 \, x^{6} + 1406128425854828903266144 \, x^{3} - 13507123892806437370880\right)} + 46404763143266731467456\right)} - 16 \cdot 2^{\frac{1}{4}} {\left(248250202572925434417171709641 \, x^{36} + 392158279593892776753649524707 \, x^{33} - 764365510952128583802234715988 \, x^{30} - 1158625043830399121658197199928 \, x^{27} + 744974044625885970803079278080 \, x^{24} + 1186605786206243645868681816096 \, x^{21} - 210612742993896435791727033808 \, x^{18} - 457525832401022893299363583856 \, x^{15} - 20029782308524211147631862800 \, x^{12} + 38604316354119658596668068688 \, x^{9} + 580441335212311981979699072 \, x^{6} - 14158202308552722075699904 \, x^{3} - 18 \, \sqrt{2} {\left(8564251745904023585195931603 \, x^{36} + 12750457151213196303514367536 \, x^{33} - 28534154646070291083552637573 \, x^{30} - 38161333576607079640202027588 \, x^{27} + 31883784694614085184693919794 \, x^{24} + 40679760423015746022246526032 \, x^{21} - 12754053545003855227347594068 \, x^{18} - 17014472745812489197655856688 \, x^{15} + 815653447800013477852821480 \, x^{12} + 1792322302234552578825256576 \, x^{9} - 22771207005398409855974432 \, x^{6} + 555955717496406285267328 \, x^{3}\right)}\right)}\right)} \sqrt{4 \, \sqrt{2} + 9} + 28 \, {\left(524236500266665825730685749760 \, x^{34} + 1332404845015756903230965089536 \, x^{31} - 130480878679520904884096757504 \, x^{28} - 2107192014832089761023279214592 \, x^{25} - 612492456088768126642309490688 \, x^{22} + 988722784766968088259898358784 \, x^{19} + 228997944867525635371563924480 \, x^{16} - 235754311387964830721719050240 \, x^{13} - 8539169464378485377627922432 \, x^{10} + 23301104080816172474328858624 \, x^{7} - 3204348545010516418409545728 \, x^{4} - \sqrt{2} {\left(328841013685710897201295863120 \, x^{34} + 712423623928727497352013174712 \, x^{31} - 507875961967949035452802264160 \, x^{28} - 1634077001729216627778034549952 \, x^{25} - 30119552846381515879483912064 \, x^{22} + 1159152878738410570103304835584 \, x^{19} + 252390387321045426549485332480 \, x^{16} - 254589968502812873449866789248 \, x^{13} - 43069085653914687948369003264 \, x^{10} + 19342332894031279621629314176 \, x^{7} - 43928868748816117016977920 \, x^{4} - 6360849 \, \sqrt{2} {\left(33227621146716099962831 \, x^{34} + 75316178531714961613054 \, x^{31} - 46850423411517051236214 \, x^{28} - 168426333235143900655124 \, x^{25} - 10554911710188156761256 \, x^{22} + 114645820898039007484144 \, x^{19} + 27634437117784163769424 \, x^{16} - 23483842011297496036128 \, x^{13} - 3713017786705821859664 \, x^{10} + 1934426021997052439648 \, x^{7} + 4921845856891760672 \, x^{4} - 66678885297238592 \, x\right)} + 597251310504684115083776 \, x\right)} - 16 \, \sqrt{2} {\left(10247401636214771696674632303 \, x^{34} + 3275263563747727892387456203 \, x^{31} - 80962254423821149367897353376 \, x^{28} - 87514720507317003029708428470 \, x^{25} + 80176236326587548057900990584 \, x^{22} + 132642871210885978930084859404 \, x^{19} + 8584531730908213324425520080 \, x^{16} - 47307947259275353642309640776 \, x^{13} - 18253055338878700118700816272 \, x^{10} - 1029941776235616195421930656 \, x^{7} + 141614837183582452564710976 \, x^{4}\right)}\right)} \sqrt{-x^{4} + x}\right)} \sqrt{-\frac{168 \, x^{6} - 168 \, x^{3} - 2 \cdot 2^{\frac{3}{4}} {\left(28 \, x^{4} - 3 \, \sqrt{2} {\left(7 \, x^{4} - 2 \, x\right)} - 10 \, x\right)} \sqrt{-x^{4} + x} \sqrt{4 \, \sqrt{2} + 9} - 7 \, \sqrt{2} {\left(19 \, x^{6} - 12 \, x^{3} + 2\right)}}{3 \, x^{6} + 4 \, x^{3} + 2}} + 56 \, \sqrt{2} {\left(218241848288644389389848879258650 \, x^{36} + 251359916402604912653099443236315 \, x^{33} - 653777886516007933475373096546014 \, x^{30} - 750700155453942593740040211672026 \, x^{27} + 686862970976966659426192517349092 \, x^{24} + 795085121396131507309277160898104 \, x^{21} - 289632726736470239458313325939952 \, x^{18} - 341211879567795800265863199007312 \, x^{15} + 40768303155595910162237651899968 \, x^{12} + 45519347077752749837422618635632 \, x^{9} - 2637210339419949781840773265504 \, x^{6} + 1616891482648877834396339936 \, x^{3} - 14541470867755473408047552\right)} - 712415088 \, \sqrt{2} {\left(18379641660262029137485017 \, x^{36} + 22231658947052511977755683 \, x^{33} - 54662171636081293533253176 \, x^{30} - 68425267185349358200890180 \, x^{27} + 52213949743345144992129576 \, x^{24} + 71314761668688399743404920 \, x^{21} - 16482475575272462172115776 \, x^{18} - 28047105217963056593939424 \, x^{15} + 727273483738706512589904 \, x^{12} + 2943581370971382216583536 \, x^{9} - 198227704559878256174208 \, x^{6} + 4380445167874176424128 \, x^{3} + \sqrt{2} {\left(4881768880653219801142320 \, x^{36} + 3033693318603343422286517 \, x^{33} - 12850910120393402178568823 \, x^{30} - 10509476546055773838812134 \, x^{27} + 10106491657868602044833128 \, x^{24} + 10804600615433251603874088 \, x^{21} - 2531419719312256190585608 \, x^{18} - 3921202481378418716194160 \, x^{15} + 552408965265963731159328 \, x^{12} + 571130043714430822119440 \, x^{9} - 140182162318662558387184 \, x^{6} + 3097547919702057133088 \, x^{3}\right)}\right)} - 1156571977971226039247832192}{14 \, {\left(3762427081761160088770877747039271 \, x^{36} + 11176455591989619085097268601346040 \, x^{33} - 405206787589120595364629876997268 \, x^{30} - 26441727421386436860245914517793136 \, x^{27} - 15623066860355145469583071278966908 \, x^{24} + 18378215491781049218505676436316864 \, x^{21} + 17501761125917080810108705358759584 \, x^{18} - 2116382992907014932708830590815104 \, x^{15} - 5346369944939979467516460009090672 \, x^{12} - 995484862411051605673619483583104 \, x^{9} + 109315127011405789944450185284288 \, x^{6} + 1083296843887043076993611008 \, x^{3} - 7632135417534638943928384\right)}}\right) + \frac{1}{9} \, \arctan\left(\frac{2 \, \sqrt{-x^{4} + x} x}{2 \, x^{3} - 1}\right)"," ",0,"-1/1008*2^(3/4)*sqrt(4*sqrt(2) + 9)*(4*sqrt(2) - 9)*log(-6360849/7*(168*x^6 - 168*x^3 + 2*2^(3/4)*(28*x^4 - 3*sqrt(2)*(7*x^4 - 2*x) - 10*x)*sqrt(-x^4 + x)*sqrt(4*sqrt(2) + 9) - 7*sqrt(2)*(19*x^6 - 12*x^3 + 2))/(3*x^6 + 4*x^3 + 2)) + 1/1008*2^(3/4)*sqrt(4*sqrt(2) + 9)*(4*sqrt(2) - 9)*log(-6360849/7*(168*x^6 - 168*x^3 - 2*2^(3/4)*(28*x^4 - 3*sqrt(2)*(7*x^4 - 2*x) - 10*x)*sqrt(-x^4 + x)*sqrt(4*sqrt(2) + 9) - 7*sqrt(2)*(19*x^6 - 12*x^3 + 2))/(3*x^6 + 4*x^3 + 2)) - 1/36*2^(3/4)*sqrt(4*sqrt(2) + 9)*arctan(-1/14*(8632050444092280152834837119864926*x^36 + 9161521558932209861778630592599792*x^33 - 17260935589581589566186845470001928*x^30 - 22417539871410114792789642783506784*x^27 + 8632251370051221229521254573075784*x^24 + 17941208497396218206799599939395968*x^21 + 111688867273889746553275629025344*x^18 - 5493502622574650172977792469639936*x^15 + 30905337002436620764838266192416*x^12 + 790651863971902368236671518751488*x^9 - 138031505983935794529450862913664*x^6 + 128904768594387196852145177088*x^3 + 12721698*sqrt(2)*sqrt(-x^4 + x)*(2^(3/4)*(155068222869201603274217652*x^34 + 252837956784573083685349366*x^31 - 299319523809873331574781920*x^28 - 586004622273400652833815356*x^25 + 121997183777565423757231456*x^22 + 419025032959227012317601072*x^19 + 28076058669471027380499328*x^16 - 90013541853774632322919520*x^13 - 4918374089438875919755968*x^10 + 5625954326986205601627616*x^7 + 48339376368627709608960*x^4 - 3*sqrt(2)*(16825352941418359482113253*x^34 + 59987578296866209972620350*x^31 - 6580181442381755563592634*x^28 - 133348333567725981519681428*x^25 - 43202477060524375944383896*x^22 + 90505619247446912851428400*x^19 + 38246898150105540704718192*x^16 - 19238762657512258793540000*x^13 - 5649039556365590504631024*x^10 + 1892796862144660136321888*x^7 - 11363374832743038268448*x^4 + 145841485650323828672*x) - 619706421311517572800*x) - 16*2^(1/4)*(34061651742756490436056644*x^34 + 95703917494121772333264282*x^31 + 22588579341510421818747546*x^28 - 144065524109011381824443844*x^25 - 111261131573116451568361236*x^22 + 45474265224424729086049080*x^19 + 64882637947323391431307656*x^16 + 5306970009315400116931728*x^13 - 10505618506466998937300016*x^10 - 2392945547527543470258048*x^7 + 207197976670170578006208*x^4 + sqrt(2)*(12030880734706239561839937*x^34 + 44933301219178895918527241*x^31 + 46944706396173846244715276*x^28 - 35613080256963383211529986*x^25 - 97068552946327814904168272*x^22 - 32620008949099351619636380*x^19 + 38469908845526136232962336*x^16 + 24972611089770871113434152*x^13 - 504271448925687639314320*x^10 - 1692005295003728616548448*x^7 + 146510610963976919718464*x^4)))*sqrt(4*sqrt(2) + 9) + 99*sqrt(649/7)*(sqrt(2)*(2^(3/4)*(3121596530260239669336820157913*x^36 + 5834255341413061687138179876792*x^33 - 6888167414217170094657282052608*x^30 - 13995366187142943155635818597216*x^27 + 4523218796861744773348981882116*x^24 + 10950989276996393893976849951808*x^21 - 1093549213499303367270942631488*x^18 - 3077112817453062541515435758592*x^15 + 381460432275327319018147934640*x^12 + 300850897180239679913838976896*x^9 - 58555914471835493587554868992*x^6 - 5108884480838567481905664*x^3 - 2*sqrt(2)*(1086133862743827732006103951791*x^36 + 2078536628748868754952479046197*x^33 - 2374524441070525146385161658610*x^30 - 4992736270966904035107639005666*x^27 + 1517995330234711341166019538136*x^24 + 3915463113897739790410043247464*x^21 - 338072542128739686425119214608*x^18 - 1104683428514778558567052777424*x^15 + 124434881558629873274651070128*x^12 + 108391044654310593595674374672*x^9 - 20827411787368918663045438624*x^6 + 1406128425854828903266144*x^3 - 13507123892806437370880) + 46404763143266731467456) - 16*2^(1/4)*(248250202572925434417171709641*x^36 + 392158279593892776753649524707*x^33 - 764365510952128583802234715988*x^30 - 1158625043830399121658197199928*x^27 + 744974044625885970803079278080*x^24 + 1186605786206243645868681816096*x^21 - 210612742993896435791727033808*x^18 - 457525832401022893299363583856*x^15 - 20029782308524211147631862800*x^12 + 38604316354119658596668068688*x^9 + 580441335212311981979699072*x^6 - 14158202308552722075699904*x^3 - 18*sqrt(2)*(8564251745904023585195931603*x^36 + 12750457151213196303514367536*x^33 - 28534154646070291083552637573*x^30 - 38161333576607079640202027588*x^27 + 31883784694614085184693919794*x^24 + 40679760423015746022246526032*x^21 - 12754053545003855227347594068*x^18 - 17014472745812489197655856688*x^15 + 815653447800013477852821480*x^12 + 1792322302234552578825256576*x^9 - 22771207005398409855974432*x^6 + 555955717496406285267328*x^3)))*sqrt(4*sqrt(2) + 9) - 28*(524236500266665825730685749760*x^34 + 1332404845015756903230965089536*x^31 - 130480878679520904884096757504*x^28 - 2107192014832089761023279214592*x^25 - 612492456088768126642309490688*x^22 + 988722784766968088259898358784*x^19 + 228997944867525635371563924480*x^16 - 235754311387964830721719050240*x^13 - 8539169464378485377627922432*x^10 + 23301104080816172474328858624*x^7 - 3204348545010516418409545728*x^4 - sqrt(2)*(328841013685710897201295863120*x^34 + 712423623928727497352013174712*x^31 - 507875961967949035452802264160*x^28 - 1634077001729216627778034549952*x^25 - 30119552846381515879483912064*x^22 + 1159152878738410570103304835584*x^19 + 252390387321045426549485332480*x^16 - 254589968502812873449866789248*x^13 - 43069085653914687948369003264*x^10 + 19342332894031279621629314176*x^7 - 43928868748816117016977920*x^4 - 6360849*sqrt(2)*(33227621146716099962831*x^34 + 75316178531714961613054*x^31 - 46850423411517051236214*x^28 - 168426333235143900655124*x^25 - 10554911710188156761256*x^22 + 114645820898039007484144*x^19 + 27634437117784163769424*x^16 - 23483842011297496036128*x^13 - 3713017786705821859664*x^10 + 1934426021997052439648*x^7 + 4921845856891760672*x^4 - 66678885297238592*x) + 597251310504684115083776*x) - 16*sqrt(2)*(10247401636214771696674632303*x^34 + 3275263563747727892387456203*x^31 - 80962254423821149367897353376*x^28 - 87514720507317003029708428470*x^25 + 80176236326587548057900990584*x^22 + 132642871210885978930084859404*x^19 + 8584531730908213324425520080*x^16 - 47307947259275353642309640776*x^13 - 18253055338878700118700816272*x^10 - 1029941776235616195421930656*x^7 + 141614837183582452564710976*x^4))*sqrt(-x^4 + x))*sqrt(-(168*x^6 - 168*x^3 + 2*2^(3/4)*(28*x^4 - 3*sqrt(2)*(7*x^4 - 2*x) - 10*x)*sqrt(-x^4 + x)*sqrt(4*sqrt(2) + 9) - 7*sqrt(2)*(19*x^6 - 12*x^3 + 2))/(3*x^6 + 4*x^3 + 2)) + 56*sqrt(2)*(218241848288644389389848879258650*x^36 + 251359916402604912653099443236315*x^33 - 653777886516007933475373096546014*x^30 - 750700155453942593740040211672026*x^27 + 686862970976966659426192517349092*x^24 + 795085121396131507309277160898104*x^21 - 289632726736470239458313325939952*x^18 - 341211879567795800265863199007312*x^15 + 40768303155595910162237651899968*x^12 + 45519347077752749837422618635632*x^9 - 2637210339419949781840773265504*x^6 + 1616891482648877834396339936*x^3 - 14541470867755473408047552) - 712415088*sqrt(2)*(18379641660262029137485017*x^36 + 22231658947052511977755683*x^33 - 54662171636081293533253176*x^30 - 68425267185349358200890180*x^27 + 52213949743345144992129576*x^24 + 71314761668688399743404920*x^21 - 16482475575272462172115776*x^18 - 28047105217963056593939424*x^15 + 727273483738706512589904*x^12 + 2943581370971382216583536*x^9 - 198227704559878256174208*x^6 + 4380445167874176424128*x^3 + sqrt(2)*(4881768880653219801142320*x^36 + 3033693318603343422286517*x^33 - 12850910120393402178568823*x^30 - 10509476546055773838812134*x^27 + 10106491657868602044833128*x^24 + 10804600615433251603874088*x^21 - 2531419719312256190585608*x^18 - 3921202481378418716194160*x^15 + 552408965265963731159328*x^12 + 571130043714430822119440*x^9 - 140182162318662558387184*x^6 + 3097547919702057133088*x^3)) - 1156571977971226039247832192)/(3762427081761160088770877747039271*x^36 + 11176455591989619085097268601346040*x^33 - 405206787589120595364629876997268*x^30 - 26441727421386436860245914517793136*x^27 - 15623066860355145469583071278966908*x^24 + 18378215491781049218505676436316864*x^21 + 17501761125917080810108705358759584*x^18 - 2116382992907014932708830590815104*x^15 - 5346369944939979467516460009090672*x^12 - 995484862411051605673619483583104*x^9 + 109315127011405789944450185284288*x^6 + 1083296843887043076993611008*x^3 - 7632135417534638943928384)) - 1/36*2^(3/4)*sqrt(4*sqrt(2) + 9)*arctan(1/14*(8632050444092280152834837119864926*x^36 + 9161521558932209861778630592599792*x^33 - 17260935589581589566186845470001928*x^30 - 22417539871410114792789642783506784*x^27 + 8632251370051221229521254573075784*x^24 + 17941208497396218206799599939395968*x^21 + 111688867273889746553275629025344*x^18 - 5493502622574650172977792469639936*x^15 + 30905337002436620764838266192416*x^12 + 790651863971902368236671518751488*x^9 - 138031505983935794529450862913664*x^6 + 128904768594387196852145177088*x^3 - 12721698*sqrt(2)*sqrt(-x^4 + x)*(2^(3/4)*(155068222869201603274217652*x^34 + 252837956784573083685349366*x^31 - 299319523809873331574781920*x^28 - 586004622273400652833815356*x^25 + 121997183777565423757231456*x^22 + 419025032959227012317601072*x^19 + 28076058669471027380499328*x^16 - 90013541853774632322919520*x^13 - 4918374089438875919755968*x^10 + 5625954326986205601627616*x^7 + 48339376368627709608960*x^4 - 3*sqrt(2)*(16825352941418359482113253*x^34 + 59987578296866209972620350*x^31 - 6580181442381755563592634*x^28 - 133348333567725981519681428*x^25 - 43202477060524375944383896*x^22 + 90505619247446912851428400*x^19 + 38246898150105540704718192*x^16 - 19238762657512258793540000*x^13 - 5649039556365590504631024*x^10 + 1892796862144660136321888*x^7 - 11363374832743038268448*x^4 + 145841485650323828672*x) - 619706421311517572800*x) - 16*2^(1/4)*(34061651742756490436056644*x^34 + 95703917494121772333264282*x^31 + 22588579341510421818747546*x^28 - 144065524109011381824443844*x^25 - 111261131573116451568361236*x^22 + 45474265224424729086049080*x^19 + 64882637947323391431307656*x^16 + 5306970009315400116931728*x^13 - 10505618506466998937300016*x^10 - 2392945547527543470258048*x^7 + 207197976670170578006208*x^4 + sqrt(2)*(12030880734706239561839937*x^34 + 44933301219178895918527241*x^31 + 46944706396173846244715276*x^28 - 35613080256963383211529986*x^25 - 97068552946327814904168272*x^22 - 32620008949099351619636380*x^19 + 38469908845526136232962336*x^16 + 24972611089770871113434152*x^13 - 504271448925687639314320*x^10 - 1692005295003728616548448*x^7 + 146510610963976919718464*x^4)))*sqrt(4*sqrt(2) + 9) - 99*sqrt(649/7)*(sqrt(2)*(2^(3/4)*(3121596530260239669336820157913*x^36 + 5834255341413061687138179876792*x^33 - 6888167414217170094657282052608*x^30 - 13995366187142943155635818597216*x^27 + 4523218796861744773348981882116*x^24 + 10950989276996393893976849951808*x^21 - 1093549213499303367270942631488*x^18 - 3077112817453062541515435758592*x^15 + 381460432275327319018147934640*x^12 + 300850897180239679913838976896*x^9 - 58555914471835493587554868992*x^6 - 5108884480838567481905664*x^3 - 2*sqrt(2)*(1086133862743827732006103951791*x^36 + 2078536628748868754952479046197*x^33 - 2374524441070525146385161658610*x^30 - 4992736270966904035107639005666*x^27 + 1517995330234711341166019538136*x^24 + 3915463113897739790410043247464*x^21 - 338072542128739686425119214608*x^18 - 1104683428514778558567052777424*x^15 + 124434881558629873274651070128*x^12 + 108391044654310593595674374672*x^9 - 20827411787368918663045438624*x^6 + 1406128425854828903266144*x^3 - 13507123892806437370880) + 46404763143266731467456) - 16*2^(1/4)*(248250202572925434417171709641*x^36 + 392158279593892776753649524707*x^33 - 764365510952128583802234715988*x^30 - 1158625043830399121658197199928*x^27 + 744974044625885970803079278080*x^24 + 1186605786206243645868681816096*x^21 - 210612742993896435791727033808*x^18 - 457525832401022893299363583856*x^15 - 20029782308524211147631862800*x^12 + 38604316354119658596668068688*x^9 + 580441335212311981979699072*x^6 - 14158202308552722075699904*x^3 - 18*sqrt(2)*(8564251745904023585195931603*x^36 + 12750457151213196303514367536*x^33 - 28534154646070291083552637573*x^30 - 38161333576607079640202027588*x^27 + 31883784694614085184693919794*x^24 + 40679760423015746022246526032*x^21 - 12754053545003855227347594068*x^18 - 17014472745812489197655856688*x^15 + 815653447800013477852821480*x^12 + 1792322302234552578825256576*x^9 - 22771207005398409855974432*x^6 + 555955717496406285267328*x^3)))*sqrt(4*sqrt(2) + 9) + 28*(524236500266665825730685749760*x^34 + 1332404845015756903230965089536*x^31 - 130480878679520904884096757504*x^28 - 2107192014832089761023279214592*x^25 - 612492456088768126642309490688*x^22 + 988722784766968088259898358784*x^19 + 228997944867525635371563924480*x^16 - 235754311387964830721719050240*x^13 - 8539169464378485377627922432*x^10 + 23301104080816172474328858624*x^7 - 3204348545010516418409545728*x^4 - sqrt(2)*(328841013685710897201295863120*x^34 + 712423623928727497352013174712*x^31 - 507875961967949035452802264160*x^28 - 1634077001729216627778034549952*x^25 - 30119552846381515879483912064*x^22 + 1159152878738410570103304835584*x^19 + 252390387321045426549485332480*x^16 - 254589968502812873449866789248*x^13 - 43069085653914687948369003264*x^10 + 19342332894031279621629314176*x^7 - 43928868748816117016977920*x^4 - 6360849*sqrt(2)*(33227621146716099962831*x^34 + 75316178531714961613054*x^31 - 46850423411517051236214*x^28 - 168426333235143900655124*x^25 - 10554911710188156761256*x^22 + 114645820898039007484144*x^19 + 27634437117784163769424*x^16 - 23483842011297496036128*x^13 - 3713017786705821859664*x^10 + 1934426021997052439648*x^7 + 4921845856891760672*x^4 - 66678885297238592*x) + 597251310504684115083776*x) - 16*sqrt(2)*(10247401636214771696674632303*x^34 + 3275263563747727892387456203*x^31 - 80962254423821149367897353376*x^28 - 87514720507317003029708428470*x^25 + 80176236326587548057900990584*x^22 + 132642871210885978930084859404*x^19 + 8584531730908213324425520080*x^16 - 47307947259275353642309640776*x^13 - 18253055338878700118700816272*x^10 - 1029941776235616195421930656*x^7 + 141614837183582452564710976*x^4))*sqrt(-x^4 + x))*sqrt(-(168*x^6 - 168*x^3 - 2*2^(3/4)*(28*x^4 - 3*sqrt(2)*(7*x^4 - 2*x) - 10*x)*sqrt(-x^4 + x)*sqrt(4*sqrt(2) + 9) - 7*sqrt(2)*(19*x^6 - 12*x^3 + 2))/(3*x^6 + 4*x^3 + 2)) + 56*sqrt(2)*(218241848288644389389848879258650*x^36 + 251359916402604912653099443236315*x^33 - 653777886516007933475373096546014*x^30 - 750700155453942593740040211672026*x^27 + 686862970976966659426192517349092*x^24 + 795085121396131507309277160898104*x^21 - 289632726736470239458313325939952*x^18 - 341211879567795800265863199007312*x^15 + 40768303155595910162237651899968*x^12 + 45519347077752749837422618635632*x^9 - 2637210339419949781840773265504*x^6 + 1616891482648877834396339936*x^3 - 14541470867755473408047552) - 712415088*sqrt(2)*(18379641660262029137485017*x^36 + 22231658947052511977755683*x^33 - 54662171636081293533253176*x^30 - 68425267185349358200890180*x^27 + 52213949743345144992129576*x^24 + 71314761668688399743404920*x^21 - 16482475575272462172115776*x^18 - 28047105217963056593939424*x^15 + 727273483738706512589904*x^12 + 2943581370971382216583536*x^9 - 198227704559878256174208*x^6 + 4380445167874176424128*x^3 + sqrt(2)*(4881768880653219801142320*x^36 + 3033693318603343422286517*x^33 - 12850910120393402178568823*x^30 - 10509476546055773838812134*x^27 + 10106491657868602044833128*x^24 + 10804600615433251603874088*x^21 - 2531419719312256190585608*x^18 - 3921202481378418716194160*x^15 + 552408965265963731159328*x^12 + 571130043714430822119440*x^9 - 140182162318662558387184*x^6 + 3097547919702057133088*x^3)) - 1156571977971226039247832192)/(3762427081761160088770877747039271*x^36 + 11176455591989619085097268601346040*x^33 - 405206787589120595364629876997268*x^30 - 26441727421386436860245914517793136*x^27 - 15623066860355145469583071278966908*x^24 + 18378215491781049218505676436316864*x^21 + 17501761125917080810108705358759584*x^18 - 2116382992907014932708830590815104*x^15 - 5346369944939979467516460009090672*x^12 - 995484862411051605673619483583104*x^9 + 109315127011405789944450185284288*x^6 + 1083296843887043076993611008*x^3 - 7632135417534638943928384)) + 1/9*arctan(2*sqrt(-x^4 + x)*x/(2*x^3 - 1))","B",0
1896,-1,0,0,0.000000," ","integrate((a*x^4-2)/(a*x^4+b)^(1/4)/(2*x^8+a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1897,1,164,0,0.480430," ","integrate((-1+x)/(1+x)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{2}{3} \, {\left(x^{2} - \sqrt{x^{2} + 1} {\left(x - 6\right)} - 6 \, x - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}} + 8 \, \sqrt{\sqrt{2} - 1} \arctan\left(\sqrt{x + \sqrt{2} + \sqrt{x^{2} + 1} + 1} \sqrt{\sqrt{2} - 1} - \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{2} - 1}\right) + 2 \, \sqrt{\sqrt{2} + 1} \log\left(4 \, \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) - 2 \, \sqrt{\sqrt{2} + 1} \log\left(-4 \, \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}}\right)"," ",0,"-2/3*(x^2 - sqrt(x^2 + 1)*(x - 6) - 6*x - 1)*sqrt(x + sqrt(x^2 + 1)) + 8*sqrt(sqrt(2) - 1)*arctan(sqrt(x + sqrt(2) + sqrt(x^2 + 1) + 1)*sqrt(sqrt(2) - 1) - sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(2) - 1)) + 2*sqrt(sqrt(2) + 1)*log(4*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) + 4*sqrt(x + sqrt(x^2 + 1))) - 2*sqrt(sqrt(2) + 1)*log(-4*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) + 4*sqrt(x + sqrt(x^2 + 1)))","A",0
1898,1,164,0,0.569578," ","integrate((1+x)/(-1+x)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{2}{3} \, {\left(x^{2} - \sqrt{x^{2} + 1} {\left(x + 6\right)} + 6 \, x - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}} - 8 \, \sqrt{\sqrt{2} + 1} \arctan\left(\sqrt{x + \sqrt{2} + \sqrt{x^{2} + 1} - 1} \sqrt{\sqrt{2} + 1} - \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{2} + 1}\right) - 2 \, \sqrt{\sqrt{2} - 1} \log\left(4 \, {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) + 2 \, \sqrt{\sqrt{2} - 1} \log\left(-4 \, {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}}\right)"," ",0,"-2/3*(x^2 - sqrt(x^2 + 1)*(x + 6) + 6*x - 1)*sqrt(x + sqrt(x^2 + 1)) - 8*sqrt(sqrt(2) + 1)*arctan(sqrt(x + sqrt(2) + sqrt(x^2 + 1) - 1)*sqrt(sqrt(2) + 1) - sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(2) + 1)) - 2*sqrt(sqrt(2) - 1)*log(4*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + 4*sqrt(x + sqrt(x^2 + 1))) + 2*sqrt(sqrt(2) - 1)*log(-4*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + 4*sqrt(x + sqrt(x^2 + 1)))","A",0
1899,1,123,0,0.473967," ","integrate((x^2-x)^(1/2)/(x^2-x*(x^2-x)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{9 \, \sqrt{2} x \log\left(-\frac{4 \, x^{2} + 2 \, \sqrt{x^{2} - \sqrt{x^{2} - x} x} {\left(\sqrt{2} x - \sqrt{2} \sqrt{x^{2} - x}\right)} - 4 \, \sqrt{x^{2} - x} x - x}{x}\right) + 4 \, {\left(8 \, x^{2} + \sqrt{x^{2} - x} {\left(8 \, x - 9\right)} - 19 \, x\right)} \sqrt{x^{2} - \sqrt{x^{2} - x} x}}{48 \, x}"," ",0,"1/48*(9*sqrt(2)*x*log(-(4*x^2 + 2*sqrt(x^2 - sqrt(x^2 - x)*x)*(sqrt(2)*x - sqrt(2)*sqrt(x^2 - x)) - 4*sqrt(x^2 - x)*x - x)/x) + 4*(8*x^2 + sqrt(x^2 - x)*(8*x - 9) - 19*x)*sqrt(x^2 - sqrt(x^2 - x)*x))/x","A",0
1900,1,395,0,10.831859," ","integrate((x^2+2*x+6)/(2+x)/(x^2+2)/(x^2+x+2)^(1/3),x, algorithm=""fricas"")","-\frac{1}{6} \cdot 4^{\frac{1}{6}} \sqrt{3} \arctan\left(\frac{4^{\frac{1}{6}} \sqrt{3} {\left(12 \cdot 4^{\frac{2}{3}} {\left(x^{7} + x^{6} - x^{5} - 2 \, x^{4} - 10 \, x^{3} - 8 \, x^{2} - 8 \, x\right)} {\left(x^{2} + x + 2\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} {\left(x^{9} + 24 \, x^{8} - 36 \, x^{7} - 64 \, x^{6} - 276 \, x^{5} - 168 \, x^{4} - 136 \, x^{3} + 144 \, x^{2} + 96 \, x + 64\right)} + 12 \, {\left(x^{8} - 14 \, x^{7} - 10 \, x^{6} - 20 \, x^{5} + 20 \, x^{4} + 16 \, x^{3} + 16 \, x^{2}\right)} {\left(x^{2} + x + 2\right)}^{\frac{1}{3}}\right)}}{6 \, {\left(x^{9} - 48 \, x^{8} - 36 \, x^{7} - 64 \, x^{6} + 84 \, x^{5} + 120 \, x^{4} + 152 \, x^{3} + 144 \, x^{2} + 96 \, x + 64\right)}}\right) + \frac{1}{12} \cdot 4^{\frac{2}{3}} \log\left(-\frac{6 \cdot 4^{\frac{1}{3}} {\left(x^{2} + x + 2\right)}^{\frac{1}{3}} x^{2} + 4^{\frac{2}{3}} {\left(x^{3} + 2 \, x^{2} + 2 \, x + 4\right)} + 12 \, {\left(x^{2} + x + 2\right)}^{\frac{2}{3}} x}{x^{3} + 2 \, x^{2} + 2 \, x + 4}\right) - \frac{1}{24} \cdot 4^{\frac{2}{3}} \log\left(\frac{6 \cdot 4^{\frac{2}{3}} {\left(x^{4} - x^{3} - x^{2} - 2 \, x\right)} {\left(x^{2} + x + 2\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} {\left(x^{6} - 14 \, x^{5} - 10 \, x^{4} - 20 \, x^{3} + 20 \, x^{2} + 16 \, x + 16\right)} - 6 \, {\left(x^{5} - 4 \, x^{4} - 4 \, x^{3} - 8 \, x^{2}\right)} {\left(x^{2} + x + 2\right)}^{\frac{1}{3}}}{x^{6} + 4 \, x^{5} + 8 \, x^{4} + 16 \, x^{3} + 20 \, x^{2} + 16 \, x + 16}\right)"," ",0,"-1/6*4^(1/6)*sqrt(3)*arctan(1/6*4^(1/6)*sqrt(3)*(12*4^(2/3)*(x^7 + x^6 - x^5 - 2*x^4 - 10*x^3 - 8*x^2 - 8*x)*(x^2 + x + 2)^(2/3) + 4^(1/3)*(x^9 + 24*x^8 - 36*x^7 - 64*x^6 - 276*x^5 - 168*x^4 - 136*x^3 + 144*x^2 + 96*x + 64) + 12*(x^8 - 14*x^7 - 10*x^6 - 20*x^5 + 20*x^4 + 16*x^3 + 16*x^2)*(x^2 + x + 2)^(1/3))/(x^9 - 48*x^8 - 36*x^7 - 64*x^6 + 84*x^5 + 120*x^4 + 152*x^3 + 144*x^2 + 96*x + 64)) + 1/12*4^(2/3)*log(-(6*4^(1/3)*(x^2 + x + 2)^(1/3)*x^2 + 4^(2/3)*(x^3 + 2*x^2 + 2*x + 4) + 12*(x^2 + x + 2)^(2/3)*x)/(x^3 + 2*x^2 + 2*x + 4)) - 1/24*4^(2/3)*log((6*4^(2/3)*(x^4 - x^3 - x^2 - 2*x)*(x^2 + x + 2)^(2/3) + 4^(1/3)*(x^6 - 14*x^5 - 10*x^4 - 20*x^3 + 20*x^2 + 16*x + 16) - 6*(x^5 - 4*x^4 - 4*x^3 - 8*x^2)*(x^2 + x + 2)^(1/3))/(x^6 + 4*x^5 + 8*x^4 + 16*x^3 + 20*x^2 + 16*x + 16))","B",0
1901,1,123,0,0.710691," ","integrate((-1+x)/x/(x^3+2*x^2+2*x+1)^(1/3),x, algorithm=""fricas"")","\sqrt{3} \arctan\left(-\frac{4 \, \sqrt{3} {\left(x^{3} + 2 \, x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}} {\left(x + 1\right)} + \sqrt{3} {\left(x^{2} + x + 1\right)} - 2 \, \sqrt{3} {\left(x^{3} + 2 \, x^{2} + 2 \, x + 1\right)}^{\frac{2}{3}}}{9 \, x^{2} + 17 \, x + 9}\right) - \frac{1}{2} \, \log\left(-\frac{3 \, {\left(x^{3} + 2 \, x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}} {\left(x + 1\right)} - x - 3 \, {\left(x^{3} + 2 \, x^{2} + 2 \, x + 1\right)}^{\frac{2}{3}}}{x}\right)"," ",0,"sqrt(3)*arctan(-(4*sqrt(3)*(x^3 + 2*x^2 + 2*x + 1)^(1/3)*(x + 1) + sqrt(3)*(x^2 + x + 1) - 2*sqrt(3)*(x^3 + 2*x^2 + 2*x + 1)^(2/3))/(9*x^2 + 17*x + 9)) - 1/2*log(-(3*(x^3 + 2*x^2 + 2*x + 1)^(1/3)*(x + 1) - x - 3*(x^3 + 2*x^2 + 2*x + 1)^(2/3))/x)","A",0
1902,-1,0,0,0.000000," ","integrate((p*x^3-2*q)*(a*p*x^3+b*x^2+a*q)*(p^2*x^6-2*p*q*x^4+2*p*q*x^3+q^2)^(1/2)/x^7,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1903,1,1333,0,0.675396," ","integrate(x^2/(x^2+1)/(1024*x^10-16640*x^9+112000*x^8-401440*x^7+820340*x^6-954733*x^5+615255*x^4-225810*x^3+47250*x^2-5265*x+243)^(1/10),x, algorithm=""fricas"")","-\frac{1}{8840} \cdot 170^{\frac{1}{4}} {\left(\sqrt{170} + 1\right)} \sqrt{-2 \, \sqrt{170} + 340} \log\left(115600 \, x^{2} + \frac{340}{13} \cdot 170^{\frac{1}{4}} {\left(\sqrt{170} {\left(13 \, x + 1\right)} + 170\right)} \sqrt{-2 \, \sqrt{170} + 340} - 170 \, {\left(1024 \, x^{10} - 16640 \, x^{9} + 112000 \, x^{8} - 401440 \, x^{7} + 820340 \, x^{6} - 954733 \, x^{5} + 615255 \, x^{4} - 225810 \, x^{3} + 47250 \, x^{2} - 5265 \, x + 243\right)}^{\frac{1}{10}} {\left(170^{\frac{3}{4}} \sqrt{-2 \, \sqrt{170} + 340} + 680 \, x\right)} + 28900 \, \sqrt{170} + 28900 \, {\left(1024 \, x^{10} - 16640 \, x^{9} + 112000 \, x^{8} - 401440 \, x^{7} + 820340 \, x^{6} - 954733 \, x^{5} + 615255 \, x^{4} - 225810 \, x^{3} + 47250 \, x^{2} - 5265 \, x + 243\right)}^{\frac{1}{5}} + 115600\right) + \frac{1}{8840} \cdot 170^{\frac{1}{4}} {\left(\sqrt{170} + 1\right)} \sqrt{-2 \, \sqrt{170} + 340} \log\left(115600 \, x^{2} - \frac{340}{13} \cdot 170^{\frac{1}{4}} {\left(\sqrt{170} {\left(13 \, x + 1\right)} + 170\right)} \sqrt{-2 \, \sqrt{170} + 340} + 170 \, {\left(1024 \, x^{10} - 16640 \, x^{9} + 112000 \, x^{8} - 401440 \, x^{7} + 820340 \, x^{6} - 954733 \, x^{5} + 615255 \, x^{4} - 225810 \, x^{3} + 47250 \, x^{2} - 5265 \, x + 243\right)}^{\frac{1}{10}} {\left(170^{\frac{3}{4}} \sqrt{-2 \, \sqrt{170} + 340} - 680 \, x\right)} + 28900 \, \sqrt{170} + 28900 \, {\left(1024 \, x^{10} - 16640 \, x^{9} + 112000 \, x^{8} - 401440 \, x^{7} + 820340 \, x^{6} - 954733 \, x^{5} + 615255 \, x^{4} - 225810 \, x^{3} + 47250 \, x^{2} - 5265 \, x + 243\right)}^{\frac{1}{5}} + 115600\right) + \frac{1}{170} \cdot 170^{\frac{1}{4}} \sqrt{-2 \, \sqrt{170} + 340} \arctan\left(\frac{1}{52596872900} \, \sqrt{1502800 \, x^{2} - 340 \cdot 170^{\frac{1}{4}} {\left(\sqrt{170} {\left(13 \, x + 1\right)} + 170\right)} \sqrt{-2 \, \sqrt{170} + 340} + 2210 \, {\left(1024 \, x^{10} - 16640 \, x^{9} + 112000 \, x^{8} - 401440 \, x^{7} + 820340 \, x^{6} - 954733 \, x^{5} + 615255 \, x^{4} - 225810 \, x^{3} + 47250 \, x^{2} - 5265 \, x + 243\right)}^{\frac{1}{10}} {\left(170^{\frac{3}{4}} \sqrt{-2 \, \sqrt{170} + 340} - 680 \, x\right)} + 375700 \, \sqrt{170} + 375700 \, {\left(1024 \, x^{10} - 16640 \, x^{9} + 112000 \, x^{8} - 401440 \, x^{7} + 820340 \, x^{6} - 954733 \, x^{5} + 615255 \, x^{4} - 225810 \, x^{3} + 47250 \, x^{2} - 5265 \, x + 243\right)}^{\frac{1}{5}} + 1502800} {\left(52 \, \sqrt{170} {\left(233 \, \sqrt{170} \sqrt{13} - 17850 \, \sqrt{13}\right)} + {\left(170^{\frac{3}{4}} {\left(128 \, \sqrt{170} \sqrt{13} - 17617 \, \sqrt{13}\right)} + 8 \cdot 170^{\frac{1}{4}} {\left(233 \, \sqrt{170} \sqrt{13} - 17850 \, \sqrt{13}\right)}\right)} \sqrt{-2 \, \sqrt{170} + 340} + 141440 \, \sqrt{170} \sqrt{13} - 7567040 \, \sqrt{13}\right)} + \frac{4}{915365} \, \sqrt{170} {\left(\sqrt{170} {\left(233 \, x + 1391\right)} - 17850 \, x - 4420\right)} + \frac{1}{10769} \, \sqrt{170} {\left(128 \, x + 1365\right)} + \frac{1}{11899745} \, {\left(170^{\frac{3}{4}} {\left(\sqrt{170} {\left(128 \, x + 1365\right)} - 17617 \, x - 3029\right)} + 8 \cdot 170^{\frac{1}{4}} {\left(\sqrt{170} {\left(233 \, x + 1391\right)} - 17850 \, x - 4420\right)}\right)} \sqrt{-2 \, \sqrt{170} + 340} - \frac{1}{23799490} \, {\left(1024 \, x^{10} - 16640 \, x^{9} + 112000 \, x^{8} - 401440 \, x^{7} + 820340 \, x^{6} - 954733 \, x^{5} + 615255 \, x^{4} - 225810 \, x^{3} + 47250 \, x^{2} - 5265 \, x + 243\right)}^{\frac{1}{10}} {\left(52 \, \sqrt{170} {\left(233 \, \sqrt{170} - 17850\right)} + {\left(170^{\frac{3}{4}} {\left(128 \, \sqrt{170} - 17617\right)} + 8 \cdot 170^{\frac{1}{4}} {\left(233 \, \sqrt{170} - 17850\right)}\right)} \sqrt{-2 \, \sqrt{170} + 340} + 141440 \, \sqrt{170} - 7567040\right)} - \frac{6848}{10769} \, x - \frac{3029}{10769}\right) + \frac{1}{170} \cdot 170^{\frac{1}{4}} \sqrt{-2 \, \sqrt{170} + 340} \arctan\left(-\frac{1}{52596872900} \, \sqrt{1502800 \, x^{2} + 340 \cdot 170^{\frac{1}{4}} {\left(\sqrt{170} {\left(13 \, x + 1\right)} + 170\right)} \sqrt{-2 \, \sqrt{170} + 340} - 2210 \, {\left(1024 \, x^{10} - 16640 \, x^{9} + 112000 \, x^{8} - 401440 \, x^{7} + 820340 \, x^{6} - 954733 \, x^{5} + 615255 \, x^{4} - 225810 \, x^{3} + 47250 \, x^{2} - 5265 \, x + 243\right)}^{\frac{1}{10}} {\left(170^{\frac{3}{4}} \sqrt{-2 \, \sqrt{170} + 340} + 680 \, x\right)} + 375700 \, \sqrt{170} + 375700 \, {\left(1024 \, x^{10} - 16640 \, x^{9} + 112000 \, x^{8} - 401440 \, x^{7} + 820340 \, x^{6} - 954733 \, x^{5} + 615255 \, x^{4} - 225810 \, x^{3} + 47250 \, x^{2} - 5265 \, x + 243\right)}^{\frac{1}{5}} + 1502800} {\left(52 \, \sqrt{170} {\left(233 \, \sqrt{170} \sqrt{13} - 17850 \, \sqrt{13}\right)} - {\left(170^{\frac{3}{4}} {\left(128 \, \sqrt{170} \sqrt{13} - 17617 \, \sqrt{13}\right)} + 8 \cdot 170^{\frac{1}{4}} {\left(233 \, \sqrt{170} \sqrt{13} - 17850 \, \sqrt{13}\right)}\right)} \sqrt{-2 \, \sqrt{170} + 340} + 141440 \, \sqrt{170} \sqrt{13} - 7567040 \, \sqrt{13}\right)} - \frac{4}{915365} \, \sqrt{170} {\left(\sqrt{170} {\left(233 \, x + 1391\right)} - 17850 \, x - 4420\right)} - \frac{1}{10769} \, \sqrt{170} {\left(128 \, x + 1365\right)} + \frac{1}{11899745} \, {\left(170^{\frac{3}{4}} {\left(\sqrt{170} {\left(128 \, x + 1365\right)} - 17617 \, x - 3029\right)} + 8 \cdot 170^{\frac{1}{4}} {\left(\sqrt{170} {\left(233 \, x + 1391\right)} - 17850 \, x - 4420\right)}\right)} \sqrt{-2 \, \sqrt{170} + 340} + \frac{1}{23799490} \, {\left(1024 \, x^{10} - 16640 \, x^{9} + 112000 \, x^{8} - 401440 \, x^{7} + 820340 \, x^{6} - 954733 \, x^{5} + 615255 \, x^{4} - 225810 \, x^{3} + 47250 \, x^{2} - 5265 \, x + 243\right)}^{\frac{1}{10}} {\left(52 \, \sqrt{170} {\left(233 \, \sqrt{170} - 17850\right)} - {\left(170^{\frac{3}{4}} {\left(128 \, \sqrt{170} - 17617\right)} + 8 \cdot 170^{\frac{1}{4}} {\left(233 \, \sqrt{170} - 17850\right)}\right)} \sqrt{-2 \, \sqrt{170} + 340} + 141440 \, \sqrt{170} - 7567040\right)} + \frac{6848}{10769} \, x + \frac{3029}{10769}\right) - \frac{1}{2} \, \log\left(-8 \, x + 4 \, {\left(1024 \, x^{10} - 16640 \, x^{9} + 112000 \, x^{8} - 401440 \, x^{7} + 820340 \, x^{6} - 954733 \, x^{5} + 615255 \, x^{4} - 225810 \, x^{3} + 47250 \, x^{2} - 5265 \, x + 243\right)}^{\frac{1}{10}} + 13\right)"," ",0,"-1/8840*170^(1/4)*(sqrt(170) + 1)*sqrt(-2*sqrt(170) + 340)*log(115600*x^2 + 340/13*170^(1/4)*(sqrt(170)*(13*x + 1) + 170)*sqrt(-2*sqrt(170) + 340) - 170*(1024*x^10 - 16640*x^9 + 112000*x^8 - 401440*x^7 + 820340*x^6 - 954733*x^5 + 615255*x^4 - 225810*x^3 + 47250*x^2 - 5265*x + 243)^(1/10)*(170^(3/4)*sqrt(-2*sqrt(170) + 340) + 680*x) + 28900*sqrt(170) + 28900*(1024*x^10 - 16640*x^9 + 112000*x^8 - 401440*x^7 + 820340*x^6 - 954733*x^5 + 615255*x^4 - 225810*x^3 + 47250*x^2 - 5265*x + 243)^(1/5) + 115600) + 1/8840*170^(1/4)*(sqrt(170) + 1)*sqrt(-2*sqrt(170) + 340)*log(115600*x^2 - 340/13*170^(1/4)*(sqrt(170)*(13*x + 1) + 170)*sqrt(-2*sqrt(170) + 340) + 170*(1024*x^10 - 16640*x^9 + 112000*x^8 - 401440*x^7 + 820340*x^6 - 954733*x^5 + 615255*x^4 - 225810*x^3 + 47250*x^2 - 5265*x + 243)^(1/10)*(170^(3/4)*sqrt(-2*sqrt(170) + 340) - 680*x) + 28900*sqrt(170) + 28900*(1024*x^10 - 16640*x^9 + 112000*x^8 - 401440*x^7 + 820340*x^6 - 954733*x^5 + 615255*x^4 - 225810*x^3 + 47250*x^2 - 5265*x + 243)^(1/5) + 115600) + 1/170*170^(1/4)*sqrt(-2*sqrt(170) + 340)*arctan(1/52596872900*sqrt(1502800*x^2 - 340*170^(1/4)*(sqrt(170)*(13*x + 1) + 170)*sqrt(-2*sqrt(170) + 340) + 2210*(1024*x^10 - 16640*x^9 + 112000*x^8 - 401440*x^7 + 820340*x^6 - 954733*x^5 + 615255*x^4 - 225810*x^3 + 47250*x^2 - 5265*x + 243)^(1/10)*(170^(3/4)*sqrt(-2*sqrt(170) + 340) - 680*x) + 375700*sqrt(170) + 375700*(1024*x^10 - 16640*x^9 + 112000*x^8 - 401440*x^7 + 820340*x^6 - 954733*x^5 + 615255*x^4 - 225810*x^3 + 47250*x^2 - 5265*x + 243)^(1/5) + 1502800)*(52*sqrt(170)*(233*sqrt(170)*sqrt(13) - 17850*sqrt(13)) + (170^(3/4)*(128*sqrt(170)*sqrt(13) - 17617*sqrt(13)) + 8*170^(1/4)*(233*sqrt(170)*sqrt(13) - 17850*sqrt(13)))*sqrt(-2*sqrt(170) + 340) + 141440*sqrt(170)*sqrt(13) - 7567040*sqrt(13)) + 4/915365*sqrt(170)*(sqrt(170)*(233*x + 1391) - 17850*x - 4420) + 1/10769*sqrt(170)*(128*x + 1365) + 1/11899745*(170^(3/4)*(sqrt(170)*(128*x + 1365) - 17617*x - 3029) + 8*170^(1/4)*(sqrt(170)*(233*x + 1391) - 17850*x - 4420))*sqrt(-2*sqrt(170) + 340) - 1/23799490*(1024*x^10 - 16640*x^9 + 112000*x^8 - 401440*x^7 + 820340*x^6 - 954733*x^5 + 615255*x^4 - 225810*x^3 + 47250*x^2 - 5265*x + 243)^(1/10)*(52*sqrt(170)*(233*sqrt(170) - 17850) + (170^(3/4)*(128*sqrt(170) - 17617) + 8*170^(1/4)*(233*sqrt(170) - 17850))*sqrt(-2*sqrt(170) + 340) + 141440*sqrt(170) - 7567040) - 6848/10769*x - 3029/10769) + 1/170*170^(1/4)*sqrt(-2*sqrt(170) + 340)*arctan(-1/52596872900*sqrt(1502800*x^2 + 340*170^(1/4)*(sqrt(170)*(13*x + 1) + 170)*sqrt(-2*sqrt(170) + 340) - 2210*(1024*x^10 - 16640*x^9 + 112000*x^8 - 401440*x^7 + 820340*x^6 - 954733*x^5 + 615255*x^4 - 225810*x^3 + 47250*x^2 - 5265*x + 243)^(1/10)*(170^(3/4)*sqrt(-2*sqrt(170) + 340) + 680*x) + 375700*sqrt(170) + 375700*(1024*x^10 - 16640*x^9 + 112000*x^8 - 401440*x^7 + 820340*x^6 - 954733*x^5 + 615255*x^4 - 225810*x^3 + 47250*x^2 - 5265*x + 243)^(1/5) + 1502800)*(52*sqrt(170)*(233*sqrt(170)*sqrt(13) - 17850*sqrt(13)) - (170^(3/4)*(128*sqrt(170)*sqrt(13) - 17617*sqrt(13)) + 8*170^(1/4)*(233*sqrt(170)*sqrt(13) - 17850*sqrt(13)))*sqrt(-2*sqrt(170) + 340) + 141440*sqrt(170)*sqrt(13) - 7567040*sqrt(13)) - 4/915365*sqrt(170)*(sqrt(170)*(233*x + 1391) - 17850*x - 4420) - 1/10769*sqrt(170)*(128*x + 1365) + 1/11899745*(170^(3/4)*(sqrt(170)*(128*x + 1365) - 17617*x - 3029) + 8*170^(1/4)*(sqrt(170)*(233*x + 1391) - 17850*x - 4420))*sqrt(-2*sqrt(170) + 340) + 1/23799490*(1024*x^10 - 16640*x^9 + 112000*x^8 - 401440*x^7 + 820340*x^6 - 954733*x^5 + 615255*x^4 - 225810*x^3 + 47250*x^2 - 5265*x + 243)^(1/10)*(52*sqrt(170)*(233*sqrt(170) - 17850) - (170^(3/4)*(128*sqrt(170) - 17617) + 8*170^(1/4)*(233*sqrt(170) - 17850))*sqrt(-2*sqrt(170) + 340) + 141440*sqrt(170) - 7567040) + 6848/10769*x + 3029/10769) - 1/2*log(-8*x + 4*(1024*x^10 - 16640*x^9 + 112000*x^8 - 401440*x^7 + 820340*x^6 - 954733*x^5 + 615255*x^4 - 225810*x^3 + 47250*x^2 - 5265*x + 243)^(1/10) + 13)","B",0
1904,1,93,0,0.647998," ","integrate(1/x/(a^2*x^2-b*x)^(1/2)/(a*x^2+x*(a^2*x^2-b*x)^(1/2))^(3/2),x, algorithm=""fricas"")","\frac{4 \, {\left(256 \, a^{5} x^{3} + 32 \, a^{3} b x^{2} + 245 \, a b^{2} x + {\left(256 \, a^{4} x^{2} + 160 \, a^{2} b x - 105 \, b^{2}\right)} \sqrt{a^{2} x^{2} - b x}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x}}{1155 \, b^{4} x^{4}}"," ",0,"4/1155*(256*a^5*x^3 + 32*a^3*b*x^2 + 245*a*b^2*x + (256*a^4*x^2 + 160*a^2*b*x - 105*b^2)*sqrt(a^2*x^2 - b*x))*sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x)/(b^4*x^4)","A",0
1905,1,289,0,5.610440," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/(x^2-1)/(x^4+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} - 1} \arctan\left(-\frac{{\left(\sqrt{2} x^{2} + x^{2} - \sqrt{x^{4} + 1} {\left({\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 3} + \sqrt{2} + 1\right)} + {\left(x^{2} + \sqrt{2} {\left(x^{2} - 2\right)} - 3\right)} \sqrt{-2 \, \sqrt{2} + 3} - 1\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} - 1}}{2 \, x}\right) + \frac{1}{8} \, \sqrt{2} \sqrt{\sqrt{2} + 1} \log\left(-\frac{\sqrt{2} x^{2} + 2 \, x^{2} + {\left(x^{3} - \sqrt{2} x - \sqrt{x^{4} + 1} x - x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} + 1} + \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)}}{x^{2} - 1}\right) - \frac{1}{8} \, \sqrt{2} \sqrt{\sqrt{2} + 1} \log\left(-\frac{\sqrt{2} x^{2} + 2 \, x^{2} - {\left(x^{3} - \sqrt{2} x - \sqrt{x^{4} + 1} x - x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} + 1} + \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)}}{x^{2} - 1}\right)"," ",0,"-1/2*sqrt(2)*sqrt(sqrt(2) - 1)*arctan(-1/2*(sqrt(2)*x^2 + x^2 - sqrt(x^4 + 1)*((sqrt(2) + 1)*sqrt(-2*sqrt(2) + 3) + sqrt(2) + 1) + (x^2 + sqrt(2)*(x^2 - 2) - 3)*sqrt(-2*sqrt(2) + 3) - 1)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) - 1)/x) + 1/8*sqrt(2)*sqrt(sqrt(2) + 1)*log(-(sqrt(2)*x^2 + 2*x^2 + (x^3 - sqrt(2)*x - sqrt(x^4 + 1)*x - x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) + 1) + sqrt(x^4 + 1)*(sqrt(2) + 1))/(x^2 - 1)) - 1/8*sqrt(2)*sqrt(sqrt(2) + 1)*log(-(sqrt(2)*x^2 + 2*x^2 - (x^3 - sqrt(2)*x - sqrt(x^4 + 1)*x - x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) + 1) + sqrt(x^4 + 1)*(sqrt(2) + 1))/(x^2 - 1))","B",0
1906,1,124,0,0.448047," ","integrate(1/(1+2*x)/(4*x^2+4*x-1)^(1/3),x, algorithm=""fricas"")","\frac{1}{8} \, \sqrt{3} 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{1}{6}} {\left(2 \, \sqrt{2} \left(-1\right)^{\frac{1}{3}} {\left(4 \, x^{2} + 4 \, x - 1\right)}^{\frac{1}{3}} + 2^{\frac{5}{6}}\right)}\right) - \frac{1}{16} \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(-2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(4 \, x^{2} + 4 \, x - 1\right)}^{\frac{1}{3}} - 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} + {\left(4 \, x^{2} + 4 \, x - 1\right)}^{\frac{2}{3}}\right) + \frac{1}{8} \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} + {\left(4 \, x^{2} + 4 \, x - 1\right)}^{\frac{1}{3}}\right)"," ",0,"1/8*sqrt(3)*2^(2/3)*(-1)^(1/3)*arctan(1/6*sqrt(3)*2^(1/6)*(2*sqrt(2)*(-1)^(1/3)*(4*x^2 + 4*x - 1)^(1/3) + 2^(5/6))) - 1/16*2^(2/3)*(-1)^(1/3)*log(-2^(1/3)*(-1)^(2/3)*(4*x^2 + 4*x - 1)^(1/3) - 2^(2/3)*(-1)^(1/3) + (4*x^2 + 4*x - 1)^(2/3)) + 1/8*2^(2/3)*(-1)^(1/3)*log(2^(1/3)*(-1)^(2/3) + (4*x^2 + 4*x - 1)^(1/3))","A",0
1907,-1,0,0,0.000000," ","integrate(1/x^3/(a*x^3-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1908,-1,0,0,0.000000," ","integrate(1/x^3/(a*x^3-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1909,-1,0,0,0.000000," ","integrate(x^3*(-b+x)*(-2*a*b+(3*a-b)*x)/(-a+x)/(x^2*(-a+x)*(-b+x))^(3/4)/(-a^3*d+3*a^2*d*x+(-3*a*d+b)*x^2+(-1+d)*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1910,1,2485,0,1.257629," ","integrate(x^2/(x^3-x^2-x)^(1/2)/(x^4-1),x, algorithm=""fricas"")","-\frac{1}{320} \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} - \sqrt{2}\right)} \sqrt{\sqrt{5} + 5} \log\left(\frac{5 \, {\left(5 \, x^{4} - 20 \, x^{3} + 5^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(\sqrt{5} \sqrt{2} {\left(x^{2} - 6 \, x - 1\right)} - 5 \, \sqrt{2} {\left(x^{2} - 2 \, x - 1\right)}\right)} \sqrt{\sqrt{5} + 5} + 30 \, x^{2} + 20 \, \sqrt{5} {\left(x^{3} - x^{2} - x\right)} + 20 \, x + 5\right)}}{x^{4} + 2 \, x^{2} + 1}\right) + \frac{1}{320} \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} - \sqrt{2}\right)} \sqrt{\sqrt{5} + 5} \log\left(\frac{5 \, {\left(5 \, x^{4} - 20 \, x^{3} - 5^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(\sqrt{5} \sqrt{2} {\left(x^{2} - 6 \, x - 1\right)} - 5 \, \sqrt{2} {\left(x^{2} - 2 \, x - 1\right)}\right)} \sqrt{\sqrt{5} + 5} + 30 \, x^{2} + 20 \, \sqrt{5} {\left(x^{3} - x^{2} - x\right)} + 20 \, x + 5\right)}}{x^{4} + 2 \, x^{2} + 1}\right) + \frac{1}{40} \cdot 5^{\frac{1}{4}} \sqrt{2} \sqrt{\sqrt{5} + 5} \arctan\left(-\frac{100 \, x^{11} + 1300 \, x^{10} - 6700 \, x^{9} - 4400 \, x^{8} + 28400 \, x^{7} + 1400 \, x^{6} - 28400 \, x^{5} - 4400 \, x^{4} + 6700 \, x^{3} + 1300 \, x^{2} + 5 \, \sqrt{x^{3} - x^{2} - x} {\left(5^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{10} - 4 \, x^{9} - 17 \, x^{8} + 56 \, x^{7} + 78 \, x^{6} - 136 \, x^{5} - 78 \, x^{4} + 56 \, x^{3} + 17 \, x^{2} - 4 \, x - 1\right)} - \sqrt{2} {\left(x^{10} + 8 \, x^{9} - 57 \, x^{8} - 24 \, x^{7} + 294 \, x^{6} + 64 \, x^{5} - 294 \, x^{4} - 24 \, x^{3} + 57 \, x^{2} + 8 \, x - 1\right)}\right)} + 4 \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(3 \, x^{9} + 7 \, x^{8} + 14 \, x^{7} - 81 \, x^{6} - 10 \, x^{5} + 81 \, x^{4} + 14 \, x^{3} - 7 \, x^{2} + 3 \, x\right)} - 5 \, \sqrt{2} {\left(x^{9} + 9 \, x^{8} - 18 \, x^{7} - 15 \, x^{6} + 26 \, x^{5} + 15 \, x^{4} - 18 \, x^{3} - 9 \, x^{2} + x\right)}\right)}\right)} \sqrt{\sqrt{5} + 5} - \sqrt{5} {\left(240 \, x^{10} + 160 \, x^{9} - 1680 \, x^{8} - 480 \, x^{7} + 3200 \, x^{6} + 480 \, x^{5} - 1680 \, x^{4} - 160 \, x^{3} + 240 \, x^{2} + \sqrt{x^{3} - x^{2} - x} {\left(5^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{10} - 6 \, x^{9} - 25 \, x^{8} + 120 \, x^{7} - 58 \, x^{6} - 196 \, x^{5} + 58 \, x^{4} + 120 \, x^{3} + 25 \, x^{2} - 6 \, x - 1\right)} - \sqrt{2} {\left(x^{10} - 2 \, x^{9} - 17 \, x^{8} + 216 \, x^{7} - 306 \, x^{6} - 396 \, x^{5} + 306 \, x^{4} + 216 \, x^{3} + 17 \, x^{2} - 2 \, x - 1\right)}\right)} + 4 \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(3 \, x^{9} - 3 \, x^{8} - 56 \, x^{7} + 69 \, x^{6} + 90 \, x^{5} - 69 \, x^{4} - 56 \, x^{3} + 3 \, x^{2} + 3 \, x\right)} - 5 \, \sqrt{2} {\left(x^{9} + 3 \, x^{8} - 28 \, x^{7} + 11 \, x^{6} + 54 \, x^{5} - 11 \, x^{4} - 28 \, x^{3} - 3 \, x^{2} + x\right)}\right)}\right)} \sqrt{\sqrt{5} + 5} + 4 \, \sqrt{5} {\left(5 \, x^{11} - 25 \, x^{10} - 105 \, x^{9} + 440 \, x^{8} + 50 \, x^{7} - 830 \, x^{6} - 50 \, x^{5} + 440 \, x^{4} + 105 \, x^{3} - 25 \, x^{2} - \sqrt{5} {\left(x^{11} + 3 \, x^{10} - 37 \, x^{9} + 96 \, x^{8} - 6 \, x^{7} - 166 \, x^{6} + 6 \, x^{5} + 96 \, x^{4} + 37 \, x^{3} + 3 \, x^{2} - x\right)} - 5 \, x\right)} - 80 \, \sqrt{5} {\left(x^{10} + 6 \, x^{9} - 23 \, x^{8} - 2 \, x^{7} + 40 \, x^{6} + 2 \, x^{5} - 23 \, x^{4} - 6 \, x^{3} + x^{2}\right)}\right)} \sqrt{\frac{5 \, x^{4} - 20 \, x^{3} + 5^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(\sqrt{5} \sqrt{2} {\left(x^{2} - 6 \, x - 1\right)} - 5 \, \sqrt{2} {\left(x^{2} - 2 \, x - 1\right)}\right)} \sqrt{\sqrt{5} + 5} + 30 \, x^{2} + 20 \, \sqrt{5} {\left(x^{3} - x^{2} - x\right)} + 20 \, x + 5}{x^{4} + 2 \, x^{2} + 1}} + 20 \, \sqrt{5} {\left(5 \, x^{11} - 15 \, x^{10} - 15 \, x^{9} + 20 \, x^{8} - 20 \, x^{7} + 70 \, x^{6} + 20 \, x^{5} + 20 \, x^{4} + 15 \, x^{3} - 15 \, x^{2} - \sqrt{5} {\left(x^{11} + 13 \, x^{10} - 67 \, x^{9} - 44 \, x^{8} + 284 \, x^{7} + 14 \, x^{6} - 284 \, x^{5} - 44 \, x^{4} + 67 \, x^{3} + 13 \, x^{2} - x\right)} - 5 \, x\right)} - 100 \, \sqrt{5} {\left(x^{11} - 3 \, x^{10} - 3 \, x^{9} + 4 \, x^{8} - 4 \, x^{7} + 14 \, x^{6} + 4 \, x^{5} + 4 \, x^{4} + 3 \, x^{3} - 3 \, x^{2} - x\right)} - 100 \, x}{200 \, {\left(x^{11} - 9 \, x^{10} - 45 \, x^{9} + 180 \, x^{8} + 18 \, x^{7} - 326 \, x^{6} - 18 \, x^{5} + 180 \, x^{4} + 45 \, x^{3} - 9 \, x^{2} - x\right)}}\right) + \frac{1}{40} \cdot 5^{\frac{1}{4}} \sqrt{2} \sqrt{\sqrt{5} + 5} \arctan\left(\frac{100 \, x^{11} + 1300 \, x^{10} - 6700 \, x^{9} - 4400 \, x^{8} + 28400 \, x^{7} + 1400 \, x^{6} - 28400 \, x^{5} - 4400 \, x^{4} + 6700 \, x^{3} + 1300 \, x^{2} - 5 \, \sqrt{x^{3} - x^{2} - x} {\left(5^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{10} - 4 \, x^{9} - 17 \, x^{8} + 56 \, x^{7} + 78 \, x^{6} - 136 \, x^{5} - 78 \, x^{4} + 56 \, x^{3} + 17 \, x^{2} - 4 \, x - 1\right)} - \sqrt{2} {\left(x^{10} + 8 \, x^{9} - 57 \, x^{8} - 24 \, x^{7} + 294 \, x^{6} + 64 \, x^{5} - 294 \, x^{4} - 24 \, x^{3} + 57 \, x^{2} + 8 \, x - 1\right)}\right)} + 4 \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(3 \, x^{9} + 7 \, x^{8} + 14 \, x^{7} - 81 \, x^{6} - 10 \, x^{5} + 81 \, x^{4} + 14 \, x^{3} - 7 \, x^{2} + 3 \, x\right)} - 5 \, \sqrt{2} {\left(x^{9} + 9 \, x^{8} - 18 \, x^{7} - 15 \, x^{6} + 26 \, x^{5} + 15 \, x^{4} - 18 \, x^{3} - 9 \, x^{2} + x\right)}\right)}\right)} \sqrt{\sqrt{5} + 5} - \sqrt{5} {\left(240 \, x^{10} + 160 \, x^{9} - 1680 \, x^{8} - 480 \, x^{7} + 3200 \, x^{6} + 480 \, x^{5} - 1680 \, x^{4} - 160 \, x^{3} + 240 \, x^{2} - \sqrt{x^{3} - x^{2} - x} {\left(5^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{10} - 6 \, x^{9} - 25 \, x^{8} + 120 \, x^{7} - 58 \, x^{6} - 196 \, x^{5} + 58 \, x^{4} + 120 \, x^{3} + 25 \, x^{2} - 6 \, x - 1\right)} - \sqrt{2} {\left(x^{10} - 2 \, x^{9} - 17 \, x^{8} + 216 \, x^{7} - 306 \, x^{6} - 396 \, x^{5} + 306 \, x^{4} + 216 \, x^{3} + 17 \, x^{2} - 2 \, x - 1\right)}\right)} + 4 \cdot 5^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(3 \, x^{9} - 3 \, x^{8} - 56 \, x^{7} + 69 \, x^{6} + 90 \, x^{5} - 69 \, x^{4} - 56 \, x^{3} + 3 \, x^{2} + 3 \, x\right)} - 5 \, \sqrt{2} {\left(x^{9} + 3 \, x^{8} - 28 \, x^{7} + 11 \, x^{6} + 54 \, x^{5} - 11 \, x^{4} - 28 \, x^{3} - 3 \, x^{2} + x\right)}\right)}\right)} \sqrt{\sqrt{5} + 5} + 4 \, \sqrt{5} {\left(5 \, x^{11} - 25 \, x^{10} - 105 \, x^{9} + 440 \, x^{8} + 50 \, x^{7} - 830 \, x^{6} - 50 \, x^{5} + 440 \, x^{4} + 105 \, x^{3} - 25 \, x^{2} - \sqrt{5} {\left(x^{11} + 3 \, x^{10} - 37 \, x^{9} + 96 \, x^{8} - 6 \, x^{7} - 166 \, x^{6} + 6 \, x^{5} + 96 \, x^{4} + 37 \, x^{3} + 3 \, x^{2} - x\right)} - 5 \, x\right)} - 80 \, \sqrt{5} {\left(x^{10} + 6 \, x^{9} - 23 \, x^{8} - 2 \, x^{7} + 40 \, x^{6} + 2 \, x^{5} - 23 \, x^{4} - 6 \, x^{3} + x^{2}\right)}\right)} \sqrt{\frac{5 \, x^{4} - 20 \, x^{3} - 5^{\frac{1}{4}} \sqrt{x^{3} - x^{2} - x} {\left(\sqrt{5} \sqrt{2} {\left(x^{2} - 6 \, x - 1\right)} - 5 \, \sqrt{2} {\left(x^{2} - 2 \, x - 1\right)}\right)} \sqrt{\sqrt{5} + 5} + 30 \, x^{2} + 20 \, \sqrt{5} {\left(x^{3} - x^{2} - x\right)} + 20 \, x + 5}{x^{4} + 2 \, x^{2} + 1}} + 20 \, \sqrt{5} {\left(5 \, x^{11} - 15 \, x^{10} - 15 \, x^{9} + 20 \, x^{8} - 20 \, x^{7} + 70 \, x^{6} + 20 \, x^{5} + 20 \, x^{4} + 15 \, x^{3} - 15 \, x^{2} - \sqrt{5} {\left(x^{11} + 13 \, x^{10} - 67 \, x^{9} - 44 \, x^{8} + 284 \, x^{7} + 14 \, x^{6} - 284 \, x^{5} - 44 \, x^{4} + 67 \, x^{3} + 13 \, x^{2} - x\right)} - 5 \, x\right)} - 100 \, \sqrt{5} {\left(x^{11} - 3 \, x^{10} - 3 \, x^{9} + 4 \, x^{8} - 4 \, x^{7} + 14 \, x^{6} + 4 \, x^{5} + 4 \, x^{4} + 3 \, x^{3} - 3 \, x^{2} - x\right)} - 100 \, x}{200 \, {\left(x^{11} - 9 \, x^{10} - 45 \, x^{9} + 180 \, x^{8} + 18 \, x^{7} - 326 \, x^{6} - 18 \, x^{5} + 180 \, x^{4} + 45 \, x^{3} - 9 \, x^{2} - x\right)}}\right) + \frac{1}{4} \, \arctan\left(\frac{x^{2} - 2 \, x - 1}{2 \, \sqrt{x^{3} - x^{2} - x}}\right)"," ",0,"-1/320*5^(1/4)*(sqrt(5)*sqrt(2) - sqrt(2))*sqrt(sqrt(5) + 5)*log(5*(5*x^4 - 20*x^3 + 5^(1/4)*sqrt(x^3 - x^2 - x)*(sqrt(5)*sqrt(2)*(x^2 - 6*x - 1) - 5*sqrt(2)*(x^2 - 2*x - 1))*sqrt(sqrt(5) + 5) + 30*x^2 + 20*sqrt(5)*(x^3 - x^2 - x) + 20*x + 5)/(x^4 + 2*x^2 + 1)) + 1/320*5^(1/4)*(sqrt(5)*sqrt(2) - sqrt(2))*sqrt(sqrt(5) + 5)*log(5*(5*x^4 - 20*x^3 - 5^(1/4)*sqrt(x^3 - x^2 - x)*(sqrt(5)*sqrt(2)*(x^2 - 6*x - 1) - 5*sqrt(2)*(x^2 - 2*x - 1))*sqrt(sqrt(5) + 5) + 30*x^2 + 20*sqrt(5)*(x^3 - x^2 - x) + 20*x + 5)/(x^4 + 2*x^2 + 1)) + 1/40*5^(1/4)*sqrt(2)*sqrt(sqrt(5) + 5)*arctan(-1/200*(100*x^11 + 1300*x^10 - 6700*x^9 - 4400*x^8 + 28400*x^7 + 1400*x^6 - 28400*x^5 - 4400*x^4 + 6700*x^3 + 1300*x^2 + 5*sqrt(x^3 - x^2 - x)*(5^(3/4)*(sqrt(5)*sqrt(2)*(x^10 - 4*x^9 - 17*x^8 + 56*x^7 + 78*x^6 - 136*x^5 - 78*x^4 + 56*x^3 + 17*x^2 - 4*x - 1) - sqrt(2)*(x^10 + 8*x^9 - 57*x^8 - 24*x^7 + 294*x^6 + 64*x^5 - 294*x^4 - 24*x^3 + 57*x^2 + 8*x - 1)) + 4*5^(1/4)*(sqrt(5)*sqrt(2)*(3*x^9 + 7*x^8 + 14*x^7 - 81*x^6 - 10*x^5 + 81*x^4 + 14*x^3 - 7*x^2 + 3*x) - 5*sqrt(2)*(x^9 + 9*x^8 - 18*x^7 - 15*x^6 + 26*x^5 + 15*x^4 - 18*x^3 - 9*x^2 + x)))*sqrt(sqrt(5) + 5) - sqrt(5)*(240*x^10 + 160*x^9 - 1680*x^8 - 480*x^7 + 3200*x^6 + 480*x^5 - 1680*x^4 - 160*x^3 + 240*x^2 + sqrt(x^3 - x^2 - x)*(5^(3/4)*(sqrt(5)*sqrt(2)*(x^10 - 6*x^9 - 25*x^8 + 120*x^7 - 58*x^6 - 196*x^5 + 58*x^4 + 120*x^3 + 25*x^2 - 6*x - 1) - sqrt(2)*(x^10 - 2*x^9 - 17*x^8 + 216*x^7 - 306*x^6 - 396*x^5 + 306*x^4 + 216*x^3 + 17*x^2 - 2*x - 1)) + 4*5^(1/4)*(sqrt(5)*sqrt(2)*(3*x^9 - 3*x^8 - 56*x^7 + 69*x^6 + 90*x^5 - 69*x^4 - 56*x^3 + 3*x^2 + 3*x) - 5*sqrt(2)*(x^9 + 3*x^8 - 28*x^7 + 11*x^6 + 54*x^5 - 11*x^4 - 28*x^3 - 3*x^2 + x)))*sqrt(sqrt(5) + 5) + 4*sqrt(5)*(5*x^11 - 25*x^10 - 105*x^9 + 440*x^8 + 50*x^7 - 830*x^6 - 50*x^5 + 440*x^4 + 105*x^3 - 25*x^2 - sqrt(5)*(x^11 + 3*x^10 - 37*x^9 + 96*x^8 - 6*x^7 - 166*x^6 + 6*x^5 + 96*x^4 + 37*x^3 + 3*x^2 - x) - 5*x) - 80*sqrt(5)*(x^10 + 6*x^9 - 23*x^8 - 2*x^7 + 40*x^6 + 2*x^5 - 23*x^4 - 6*x^3 + x^2))*sqrt((5*x^4 - 20*x^3 + 5^(1/4)*sqrt(x^3 - x^2 - x)*(sqrt(5)*sqrt(2)*(x^2 - 6*x - 1) - 5*sqrt(2)*(x^2 - 2*x - 1))*sqrt(sqrt(5) + 5) + 30*x^2 + 20*sqrt(5)*(x^3 - x^2 - x) + 20*x + 5)/(x^4 + 2*x^2 + 1)) + 20*sqrt(5)*(5*x^11 - 15*x^10 - 15*x^9 + 20*x^8 - 20*x^7 + 70*x^6 + 20*x^5 + 20*x^4 + 15*x^3 - 15*x^2 - sqrt(5)*(x^11 + 13*x^10 - 67*x^9 - 44*x^8 + 284*x^7 + 14*x^6 - 284*x^5 - 44*x^4 + 67*x^3 + 13*x^2 - x) - 5*x) - 100*sqrt(5)*(x^11 - 3*x^10 - 3*x^9 + 4*x^8 - 4*x^7 + 14*x^6 + 4*x^5 + 4*x^4 + 3*x^3 - 3*x^2 - x) - 100*x)/(x^11 - 9*x^10 - 45*x^9 + 180*x^8 + 18*x^7 - 326*x^6 - 18*x^5 + 180*x^4 + 45*x^3 - 9*x^2 - x)) + 1/40*5^(1/4)*sqrt(2)*sqrt(sqrt(5) + 5)*arctan(1/200*(100*x^11 + 1300*x^10 - 6700*x^9 - 4400*x^8 + 28400*x^7 + 1400*x^6 - 28400*x^5 - 4400*x^4 + 6700*x^3 + 1300*x^2 - 5*sqrt(x^3 - x^2 - x)*(5^(3/4)*(sqrt(5)*sqrt(2)*(x^10 - 4*x^9 - 17*x^8 + 56*x^7 + 78*x^6 - 136*x^5 - 78*x^4 + 56*x^3 + 17*x^2 - 4*x - 1) - sqrt(2)*(x^10 + 8*x^9 - 57*x^8 - 24*x^7 + 294*x^6 + 64*x^5 - 294*x^4 - 24*x^3 + 57*x^2 + 8*x - 1)) + 4*5^(1/4)*(sqrt(5)*sqrt(2)*(3*x^9 + 7*x^8 + 14*x^7 - 81*x^6 - 10*x^5 + 81*x^4 + 14*x^3 - 7*x^2 + 3*x) - 5*sqrt(2)*(x^9 + 9*x^8 - 18*x^7 - 15*x^6 + 26*x^5 + 15*x^4 - 18*x^3 - 9*x^2 + x)))*sqrt(sqrt(5) + 5) - sqrt(5)*(240*x^10 + 160*x^9 - 1680*x^8 - 480*x^7 + 3200*x^6 + 480*x^5 - 1680*x^4 - 160*x^3 + 240*x^2 - sqrt(x^3 - x^2 - x)*(5^(3/4)*(sqrt(5)*sqrt(2)*(x^10 - 6*x^9 - 25*x^8 + 120*x^7 - 58*x^6 - 196*x^5 + 58*x^4 + 120*x^3 + 25*x^2 - 6*x - 1) - sqrt(2)*(x^10 - 2*x^9 - 17*x^8 + 216*x^7 - 306*x^6 - 396*x^5 + 306*x^4 + 216*x^3 + 17*x^2 - 2*x - 1)) + 4*5^(1/4)*(sqrt(5)*sqrt(2)*(3*x^9 - 3*x^8 - 56*x^7 + 69*x^6 + 90*x^5 - 69*x^4 - 56*x^3 + 3*x^2 + 3*x) - 5*sqrt(2)*(x^9 + 3*x^8 - 28*x^7 + 11*x^6 + 54*x^5 - 11*x^4 - 28*x^3 - 3*x^2 + x)))*sqrt(sqrt(5) + 5) + 4*sqrt(5)*(5*x^11 - 25*x^10 - 105*x^9 + 440*x^8 + 50*x^7 - 830*x^6 - 50*x^5 + 440*x^4 + 105*x^3 - 25*x^2 - sqrt(5)*(x^11 + 3*x^10 - 37*x^9 + 96*x^8 - 6*x^7 - 166*x^6 + 6*x^5 + 96*x^4 + 37*x^3 + 3*x^2 - x) - 5*x) - 80*sqrt(5)*(x^10 + 6*x^9 - 23*x^8 - 2*x^7 + 40*x^6 + 2*x^5 - 23*x^4 - 6*x^3 + x^2))*sqrt((5*x^4 - 20*x^3 - 5^(1/4)*sqrt(x^3 - x^2 - x)*(sqrt(5)*sqrt(2)*(x^2 - 6*x - 1) - 5*sqrt(2)*(x^2 - 2*x - 1))*sqrt(sqrt(5) + 5) + 30*x^2 + 20*sqrt(5)*(x^3 - x^2 - x) + 20*x + 5)/(x^4 + 2*x^2 + 1)) + 20*sqrt(5)*(5*x^11 - 15*x^10 - 15*x^9 + 20*x^8 - 20*x^7 + 70*x^6 + 20*x^5 + 20*x^4 + 15*x^3 - 15*x^2 - sqrt(5)*(x^11 + 13*x^10 - 67*x^9 - 44*x^8 + 284*x^7 + 14*x^6 - 284*x^5 - 44*x^4 + 67*x^3 + 13*x^2 - x) - 5*x) - 100*sqrt(5)*(x^11 - 3*x^10 - 3*x^9 + 4*x^8 - 4*x^7 + 14*x^6 + 4*x^5 + 4*x^4 + 3*x^3 - 3*x^2 - x) - 100*x)/(x^11 - 9*x^10 - 45*x^9 + 180*x^8 + 18*x^7 - 326*x^6 - 18*x^5 + 180*x^4 + 45*x^3 - 9*x^2 - x)) + 1/4*arctan(1/2*(x^2 - 2*x - 1)/sqrt(x^3 - x^2 - x))","B",0
1911,1,306,0,0.742768," ","integrate((x^2-1)*(x^4+x^2+1)^(1/2)/(x^2+1)/(x^4+x^3+x^2+x+1),x, algorithm=""fricas"")","\frac{1}{5} \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 2} \arctan\left(\frac{\sqrt{2} {\left(2 \, x^{4} + \sqrt{5} x^{2} + x^{2} + 2\right)} \sqrt{2 \, \sqrt{5} + 2} \sqrt{\sqrt{5} + 1} + 2 \, \sqrt{x^{4} + x^{2} + 1} {\left(2 \, x^{2} + \sqrt{5} x - x + 2\right)} \sqrt{2 \, \sqrt{5} + 2}}{8 \, {\left(x^{4} - x^{3} + x^{2} - x + 1\right)}}\right) + \frac{1}{20} \, \sqrt{5} \sqrt{2 \, \sqrt{5} - 2} \log\left(-\frac{2 \, \sqrt{x^{4} + x^{2} + 1} {\left(2 \, x^{2} - \sqrt{5} x + x + 2\right)} + {\left(x^{4} + 3 \, x^{2} + \sqrt{5} {\left(x^{4} + x^{2} + 1\right)} + 1\right)} \sqrt{2 \, \sqrt{5} - 2}}{x^{4} + x^{3} + x^{2} + x + 1}\right) - \frac{1}{20} \, \sqrt{5} \sqrt{2 \, \sqrt{5} - 2} \log\left(-\frac{2 \, \sqrt{x^{4} + x^{2} + 1} {\left(2 \, x^{2} - \sqrt{5} x + x + 2\right)} - {\left(x^{4} + 3 \, x^{2} + \sqrt{5} {\left(x^{4} + x^{2} + 1\right)} + 1\right)} \sqrt{2 \, \sqrt{5} - 2}}{x^{4} + x^{3} + x^{2} + x + 1}\right) - \arctan\left(\frac{x}{\sqrt{x^{4} + x^{2} + 1}}\right)"," ",0,"1/5*sqrt(5)*sqrt(2*sqrt(5) + 2)*arctan(1/8*(sqrt(2)*(2*x^4 + sqrt(5)*x^2 + x^2 + 2)*sqrt(2*sqrt(5) + 2)*sqrt(sqrt(5) + 1) + 2*sqrt(x^4 + x^2 + 1)*(2*x^2 + sqrt(5)*x - x + 2)*sqrt(2*sqrt(5) + 2))/(x^4 - x^3 + x^2 - x + 1)) + 1/20*sqrt(5)*sqrt(2*sqrt(5) - 2)*log(-(2*sqrt(x^4 + x^2 + 1)*(2*x^2 - sqrt(5)*x + x + 2) + (x^4 + 3*x^2 + sqrt(5)*(x^4 + x^2 + 1) + 1)*sqrt(2*sqrt(5) - 2))/(x^4 + x^3 + x^2 + x + 1)) - 1/20*sqrt(5)*sqrt(2*sqrt(5) - 2)*log(-(2*sqrt(x^4 + x^2 + 1)*(2*x^2 - sqrt(5)*x + x + 2) - (x^4 + 3*x^2 + sqrt(5)*(x^4 + x^2 + 1) + 1)*sqrt(2*sqrt(5) - 2))/(x^4 + x^3 + x^2 + x + 1)) - arctan(x/sqrt(x^4 + x^2 + 1))","B",0
1912,1,302,0,0.609405," ","integrate(x^6/(a*x^4-b)/(a*x^4+b)^(3/4),x, algorithm=""fricas"")","\left(\frac{1}{8}\right)^{\frac{1}{4}} \frac{1}{a^{7}}^{\frac{1}{4}} \arctan\left(\frac{4 \, {\left(\left(\frac{1}{8}\right)^{\frac{3}{4}} a^{5} x \sqrt{\frac{2 \, \sqrt{\frac{1}{2}} a^{4} \sqrt{\frac{1}{a^{7}}} x^{2} + \sqrt{a x^{4} + b}}{x^{2}}} \frac{1}{a^{7}}^{\frac{3}{4}} - \left(\frac{1}{8}\right)^{\frac{3}{4}} {\left(a x^{4} + b\right)}^{\frac{1}{4}} a^{5} \frac{1}{a^{7}}^{\frac{3}{4}}\right)}}{x}\right) - \frac{1}{4} \, \left(\frac{1}{8}\right)^{\frac{1}{4}} \frac{1}{a^{7}}^{\frac{1}{4}} \log\left(\frac{2 \, \left(\frac{1}{8}\right)^{\frac{1}{4}} a^{2} \frac{1}{a^{7}}^{\frac{1}{4}} x + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{4} \, \left(\frac{1}{8}\right)^{\frac{1}{4}} \frac{1}{a^{7}}^{\frac{1}{4}} \log\left(-\frac{2 \, \left(\frac{1}{8}\right)^{\frac{1}{4}} a^{2} \frac{1}{a^{7}}^{\frac{1}{4}} x - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{a^{7}}^{\frac{1}{4}} \arctan\left(\frac{a^{5} x \sqrt{\frac{a^{4} \sqrt{\frac{1}{a^{7}}} x^{2} + \sqrt{a x^{4} + b}}{x^{2}}} \frac{1}{a^{7}}^{\frac{3}{4}} - {\left(a x^{4} + b\right)}^{\frac{1}{4}} a^{5} \frac{1}{a^{7}}^{\frac{3}{4}}}{x}\right) + \frac{1}{4} \, \frac{1}{a^{7}}^{\frac{1}{4}} \log\left(\frac{a^{2} \frac{1}{a^{7}}^{\frac{1}{4}} x + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{4} \, \frac{1}{a^{7}}^{\frac{1}{4}} \log\left(-\frac{a^{2} \frac{1}{a^{7}}^{\frac{1}{4}} x - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"(1/8)^(1/4)*(a^(-7))^(1/4)*arctan(4*((1/8)^(3/4)*a^5*x*sqrt((2*sqrt(1/2)*a^4*sqrt(a^(-7))*x^2 + sqrt(a*x^4 + b))/x^2)*(a^(-7))^(3/4) - (1/8)^(3/4)*(a*x^4 + b)^(1/4)*a^5*(a^(-7))^(3/4))/x) - 1/4*(1/8)^(1/4)*(a^(-7))^(1/4)*log((2*(1/8)^(1/4)*a^2*(a^(-7))^(1/4)*x + (a*x^4 + b)^(1/4))/x) + 1/4*(1/8)^(1/4)*(a^(-7))^(1/4)*log(-(2*(1/8)^(1/4)*a^2*(a^(-7))^(1/4)*x - (a*x^4 + b)^(1/4))/x) - (a^(-7))^(1/4)*arctan((a^5*x*sqrt((a^4*sqrt(a^(-7))*x^2 + sqrt(a*x^4 + b))/x^2)*(a^(-7))^(3/4) - (a*x^4 + b)^(1/4)*a^5*(a^(-7))^(3/4))/x) + 1/4*(a^(-7))^(1/4)*log((a^2*(a^(-7))^(1/4)*x + (a*x^4 + b)^(1/4))/x) - 1/4*(a^(-7))^(1/4)*log(-(a^2*(a^(-7))^(1/4)*x - (a*x^4 + b)^(1/4))/x)","B",0
1913,1,488,0,91.111660," ","integrate((a*x^3-b)/x^3/(a*x^3+b)/(a*x^4-b*x)^(1/4),x, algorithm=""fricas"")","-\frac{12 \cdot 8^{\frac{1}{4}} b x^{3} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} \arctan\left(\frac{16 \cdot 8^{\frac{1}{4}} {\left(a x^{4} - b x\right)}^{\frac{1}{4}} a^{4} b x^{2} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} + 4 \cdot 8^{\frac{3}{4}} {\left(a x^{4} - b x\right)}^{\frac{3}{4}} a^{2} b^{3} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{3}{4}} + \sqrt{2} {\left(8 \cdot 8^{\frac{1}{4}} \sqrt{a x^{4} - b x} a^{2} b x \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} + 8^{\frac{3}{4}} {\left(3 \, a b^{3} x^{3} - b^{4}\right)} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{3}{4}}\right)} \sqrt{\sqrt{2} a^{2} b^{2} \sqrt{\frac{a^{3}}{b^{4}}}}}{8 \, {\left(a^{5} x^{3} + a^{4} b\right)}}\right) - 3 \cdot 8^{\frac{1}{4}} b x^{3} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} \log\left(\frac{4 \, \sqrt{2} {\left(a x^{4} - b x\right)}^{\frac{1}{4}} a b^{2} x^{2} \sqrt{\frac{a^{3}}{b^{4}}} + 8^{\frac{3}{4}} \sqrt{a x^{4} - b x} b^{3} x \left(\frac{a^{3}}{b^{4}}\right)^{\frac{3}{4}} + 4 \, {\left(a x^{4} - b x\right)}^{\frac{3}{4}} a^{2} + 8^{\frac{1}{4}} {\left(3 \, a^{2} b x^{3} - a b^{2}\right)} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}}}{a x^{3} + b}\right) + 3 \cdot 8^{\frac{1}{4}} b x^{3} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}} \log\left(\frac{4 \, \sqrt{2} {\left(a x^{4} - b x\right)}^{\frac{1}{4}} a b^{2} x^{2} \sqrt{\frac{a^{3}}{b^{4}}} - 8^{\frac{3}{4}} \sqrt{a x^{4} - b x} b^{3} x \left(\frac{a^{3}}{b^{4}}\right)^{\frac{3}{4}} + 4 \, {\left(a x^{4} - b x\right)}^{\frac{3}{4}} a^{2} - 8^{\frac{1}{4}} {\left(3 \, a^{2} b x^{3} - a b^{2}\right)} \left(\frac{a^{3}}{b^{4}}\right)^{\frac{1}{4}}}{a x^{3} + b}\right) + 8 \, {\left(a x^{4} - b x\right)}^{\frac{3}{4}}}{18 \, b x^{3}}"," ",0,"-1/18*(12*8^(1/4)*b*x^3*(a^3/b^4)^(1/4)*arctan(1/8*(16*8^(1/4)*(a*x^4 - b*x)^(1/4)*a^4*b*x^2*(a^3/b^4)^(1/4) + 4*8^(3/4)*(a*x^4 - b*x)^(3/4)*a^2*b^3*(a^3/b^4)^(3/4) + sqrt(2)*(8*8^(1/4)*sqrt(a*x^4 - b*x)*a^2*b*x*(a^3/b^4)^(1/4) + 8^(3/4)*(3*a*b^3*x^3 - b^4)*(a^3/b^4)^(3/4))*sqrt(sqrt(2)*a^2*b^2*sqrt(a^3/b^4)))/(a^5*x^3 + a^4*b)) - 3*8^(1/4)*b*x^3*(a^3/b^4)^(1/4)*log((4*sqrt(2)*(a*x^4 - b*x)^(1/4)*a*b^2*x^2*sqrt(a^3/b^4) + 8^(3/4)*sqrt(a*x^4 - b*x)*b^3*x*(a^3/b^4)^(3/4) + 4*(a*x^4 - b*x)^(3/4)*a^2 + 8^(1/4)*(3*a^2*b*x^3 - a*b^2)*(a^3/b^4)^(1/4))/(a*x^3 + b)) + 3*8^(1/4)*b*x^3*(a^3/b^4)^(1/4)*log((4*sqrt(2)*(a*x^4 - b*x)^(1/4)*a*b^2*x^2*sqrt(a^3/b^4) - 8^(3/4)*sqrt(a*x^4 - b*x)*b^3*x*(a^3/b^4)^(3/4) + 4*(a*x^4 - b*x)^(3/4)*a^2 - 8^(1/4)*(3*a^2*b*x^3 - a*b^2)*(a^3/b^4)^(1/4))/(a*x^3 + b)) + 8*(a*x^4 - b*x)^(3/4))/(b*x^3)","B",0
1914,1,237,0,0.496573," ","integrate((a*x^4-b)/(a*x^4+b)^(1/4)/(3*a*x^4-b),x, algorithm=""fricas"")","\frac{2 \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \arctan\left(\frac{\frac{\left(\frac{1}{4}\right)^{\frac{1}{4}} x \sqrt{\frac{2 \, \sqrt{a} x^{2} + \sqrt{a x^{4} + b}}{x^{2}}}}{a^{\frac{1}{4}}} - \frac{\left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}}{x}\right)}{3 \, a^{\frac{1}{4}}} + \frac{\left(\frac{1}{4}\right)^{\frac{1}{4}} \log\left(\frac{4 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{\frac{1}{4}} x + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{6 \, a^{\frac{1}{4}}} - \frac{\left(\frac{1}{4}\right)^{\frac{1}{4}} \log\left(-\frac{4 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{\frac{1}{4}} x - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{6 \, a^{\frac{1}{4}}} + \frac{\arctan\left(\frac{\frac{x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} + b}}{x^{2}}}}{a^{\frac{1}{4}}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}}{x}\right)}{3 \, a^{\frac{1}{4}}} + \frac{\log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{12 \, a^{\frac{1}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{12 \, a^{\frac{1}{4}}}"," ",0,"2/3*(1/4)^(1/4)*arctan(((1/4)^(1/4)*x*sqrt((2*sqrt(a)*x^2 + sqrt(a*x^4 + b))/x^2)/a^(1/4) - (1/4)^(1/4)*(a*x^4 + b)^(1/4)/a^(1/4))/x)/a^(1/4) + 1/6*(1/4)^(1/4)*log((4*(1/4)^(3/4)*a^(1/4)*x + (a*x^4 + b)^(1/4))/x)/a^(1/4) - 1/6*(1/4)^(1/4)*log(-(4*(1/4)^(3/4)*a^(1/4)*x - (a*x^4 + b)^(1/4))/x)/a^(1/4) + 1/3*arctan((x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 + b))/x^2)/a^(1/4) - (a*x^4 + b)^(1/4)/a^(1/4))/x)/a^(1/4) + 1/12*log((a^(1/4)*x + (a*x^4 + b)^(1/4))/x)/a^(1/4) - 1/12*log(-(a^(1/4)*x - (a*x^4 + b)^(1/4))/x)/a^(1/4)","B",0
1915,-1,0,0,0.000000," ","integrate((a*x^2-2*b)/(a*x^2-b)^(1/4)/(c*x^4+a*x^2-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1916,-1,0,0,0.000000," ","integrate((p*x^2-q)*(p^2*x^4+q^2)^(1/2)/x^2/(a*p*x^2+a*q+b*x),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1917,1,384,0,101.436094," ","integrate((x^5+1)^(1/3)*(2*x^5-3)/x^2/(2*x^5-x^3+2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} 2^{\frac{2}{3}} x \arctan\left(\frac{\sqrt{3} 2^{\frac{1}{6}} {\left(24 \, \sqrt{2} {\left(2 \, x^{11} + x^{9} - x^{7} + 4 \, x^{6} + x^{4} + 2 \, x\right)} {\left(x^{5} + 1\right)}^{\frac{2}{3}} + 2^{\frac{5}{6}} {\left(8 \, x^{15} + 60 \, x^{13} + 24 \, x^{11} + 24 \, x^{10} - x^{9} + 120 \, x^{8} + 24 \, x^{6} + 24 \, x^{5} + 60 \, x^{3} + 8\right)} + 12 \cdot 2^{\frac{1}{6}} {\left(4 \, x^{12} + 14 \, x^{10} + x^{8} + 8 \, x^{7} + 14 \, x^{5} + 4 \, x^{2}\right)} {\left(x^{5} + 1\right)}^{\frac{1}{3}}\right)}}{6 \, {\left(8 \, x^{15} - 12 \, x^{13} - 48 \, x^{11} + 24 \, x^{10} - x^{9} - 24 \, x^{8} - 48 \, x^{6} + 24 \, x^{5} - 12 \, x^{3} + 8\right)}}\right) + 2 \cdot 2^{\frac{2}{3}} x \log\left(\frac{3 \cdot 2^{\frac{2}{3}} {\left(x^{5} + 1\right)}^{\frac{1}{3}} x^{2} - 6 \, {\left(x^{5} + 1\right)}^{\frac{2}{3}} x + 2^{\frac{1}{3}} {\left(2 \, x^{5} - x^{3} + 2\right)}}{2 \, x^{5} - x^{3} + 2}\right) - 2^{\frac{2}{3}} x \log\left(\frac{12 \cdot 2^{\frac{1}{3}} {\left(x^{6} + x^{4} + x\right)} {\left(x^{5} + 1\right)}^{\frac{2}{3}} + 2^{\frac{2}{3}} {\left(4 \, x^{10} + 14 \, x^{8} + x^{6} + 8 \, x^{5} + 14 \, x^{3} + 4\right)} + 6 \, {\left(4 \, x^{7} + x^{5} + 4 \, x^{2}\right)} {\left(x^{5} + 1\right)}^{\frac{1}{3}}}{4 \, x^{10} - 4 \, x^{8} + x^{6} + 8 \, x^{5} - 4 \, x^{3} + 4}\right) + 36 \, {\left(x^{5} + 1\right)}^{\frac{1}{3}}}{24 \, x}"," ",0,"1/24*(2*sqrt(3)*2^(2/3)*x*arctan(1/6*sqrt(3)*2^(1/6)*(24*sqrt(2)*(2*x^11 + x^9 - x^7 + 4*x^6 + x^4 + 2*x)*(x^5 + 1)^(2/3) + 2^(5/6)*(8*x^15 + 60*x^13 + 24*x^11 + 24*x^10 - x^9 + 120*x^8 + 24*x^6 + 24*x^5 + 60*x^3 + 8) + 12*2^(1/6)*(4*x^12 + 14*x^10 + x^8 + 8*x^7 + 14*x^5 + 4*x^2)*(x^5 + 1)^(1/3))/(8*x^15 - 12*x^13 - 48*x^11 + 24*x^10 - x^9 - 24*x^8 - 48*x^6 + 24*x^5 - 12*x^3 + 8)) + 2*2^(2/3)*x*log((3*2^(2/3)*(x^5 + 1)^(1/3)*x^2 - 6*(x^5 + 1)^(2/3)*x + 2^(1/3)*(2*x^5 - x^3 + 2))/(2*x^5 - x^3 + 2)) - 2^(2/3)*x*log((12*2^(1/3)*(x^6 + x^4 + x)*(x^5 + 1)^(2/3) + 2^(2/3)*(4*x^10 + 14*x^8 + x^6 + 8*x^5 + 14*x^3 + 4) + 6*(4*x^7 + x^5 + 4*x^2)*(x^5 + 1)^(1/3))/(4*x^10 - 4*x^8 + x^6 + 8*x^5 - 4*x^3 + 4)) + 36*(x^5 + 1)^(1/3))/x","B",0
1918,-1,0,0,0.000000," ","integrate(x^2*(a*x^5+4*b)/(a*x^5-b)^(3/4)/(a*x^5+c*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1919,1,349,0,149.192102," ","integrate((x^6-1)*(x^6+1)^(2/3)/x^3/(2*x^6-x^3+2),x, algorithm=""fricas"")","-\frac{4 \cdot 4^{\frac{1}{6}} \sqrt{3} x^{2} \arctan\left(\frac{4^{\frac{1}{6}} {\left(12 \cdot 4^{\frac{2}{3}} \sqrt{3} {\left(2 \, x^{13} + x^{10} + 3 \, x^{7} + x^{4} + 2 \, x\right)} {\left(x^{6} + 1\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} \sqrt{3} {\left(8 \, x^{18} + 60 \, x^{15} + 48 \, x^{12} + 119 \, x^{9} + 48 \, x^{6} + 60 \, x^{3} + 8\right)} + 12 \, \sqrt{3} {\left(4 \, x^{14} + 14 \, x^{11} + 9 \, x^{8} + 14 \, x^{5} + 4 \, x^{2}\right)} {\left(x^{6} + 1\right)}^{\frac{1}{3}}\right)}}{6 \, {\left(8 \, x^{18} - 12 \, x^{15} - 24 \, x^{12} - 25 \, x^{9} - 24 \, x^{6} - 12 \, x^{3} + 8\right)}}\right) - 2 \cdot 4^{\frac{2}{3}} x^{2} \log\left(-\frac{6 \cdot 4^{\frac{1}{3}} {\left(x^{6} + 1\right)}^{\frac{1}{3}} x^{2} + 4^{\frac{2}{3}} {\left(2 \, x^{6} - x^{3} + 2\right)} - 12 \, {\left(x^{6} + 1\right)}^{\frac{2}{3}} x}{2 \, x^{6} - x^{3} + 2}\right) + 4^{\frac{2}{3}} x^{2} \log\left(\frac{6 \cdot 4^{\frac{2}{3}} {\left(x^{7} + x^{4} + x\right)} {\left(x^{6} + 1\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} {\left(4 \, x^{12} + 14 \, x^{9} + 9 \, x^{6} + 14 \, x^{3} + 4\right)} + 6 \, {\left(4 \, x^{8} + x^{5} + 4 \, x^{2}\right)} {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{4 \, x^{12} - 4 \, x^{9} + 9 \, x^{6} - 4 \, x^{3} + 4}\right) - 36 \, {\left(x^{6} + 1\right)}^{\frac{2}{3}}}{144 \, x^{2}}"," ",0,"-1/144*(4*4^(1/6)*sqrt(3)*x^2*arctan(1/6*4^(1/6)*(12*4^(2/3)*sqrt(3)*(2*x^13 + x^10 + 3*x^7 + x^4 + 2*x)*(x^6 + 1)^(2/3) + 4^(1/3)*sqrt(3)*(8*x^18 + 60*x^15 + 48*x^12 + 119*x^9 + 48*x^6 + 60*x^3 + 8) + 12*sqrt(3)*(4*x^14 + 14*x^11 + 9*x^8 + 14*x^5 + 4*x^2)*(x^6 + 1)^(1/3))/(8*x^18 - 12*x^15 - 24*x^12 - 25*x^9 - 24*x^6 - 12*x^3 + 8)) - 2*4^(2/3)*x^2*log(-(6*4^(1/3)*(x^6 + 1)^(1/3)*x^2 + 4^(2/3)*(2*x^6 - x^3 + 2) - 12*(x^6 + 1)^(2/3)*x)/(2*x^6 - x^3 + 2)) + 4^(2/3)*x^2*log((6*4^(2/3)*(x^7 + x^4 + x)*(x^6 + 1)^(2/3) + 4^(1/3)*(4*x^12 + 14*x^9 + 9*x^6 + 14*x^3 + 4) + 6*(4*x^8 + x^5 + 4*x^2)*(x^6 + 1)^(1/3))/(4*x^12 - 4*x^9 + 9*x^6 - 4*x^3 + 4)) - 36*(x^6 + 1)^(2/3))/x^2","B",0
1920,-1,0,0,0.000000," ","integrate(x^2*(a*x^6+2*b)/(a*x^6-b)^(3/4)/(a*x^6+c*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1921,1,81,0,1.052614," ","integrate(x^2*(x^4+1)^(1/2)*(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{1}{48} \, {\left(2 \, x^{5} - 10 \, \sqrt{x^{4} + 1} x^{3} - 9 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + \frac{3}{32} \, \sqrt{2} \arctan\left(-\frac{{\left(\sqrt{2} x^{2} - \sqrt{2} \sqrt{x^{4} + 1}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{2 \, x}\right)"," ",0,"-1/48*(2*x^5 - 10*sqrt(x^4 + 1)*x^3 - 9*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 3/32*sqrt(2)*arctan(-1/2*(sqrt(2)*x^2 - sqrt(2)*sqrt(x^4 + 1))*sqrt(x^2 + sqrt(x^4 + 1))/x)","A",0
1922,1,44,0,0.486505," ","integrate((1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{8}{315} \, {\left({\left(5 \, \sqrt{x + 1} - 8\right)} \sqrt{\sqrt{x + 1} + 1} + 35 \, x + \sqrt{x + 1} + 27\right)} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}"," ",0,"8/315*((5*sqrt(x + 1) - 8)*sqrt(sqrt(x + 1) + 1) + 35*x + sqrt(x + 1) + 27)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)","A",0
1923,1,4633,0,1.737700," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1} \log\left({\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{3} + {\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{2} + 4 \, \sqrt{\sqrt{2} + 1} - 11\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} - 4 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 1\right)} \sqrt{\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1} \log\left(-{\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{3} + {\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{2} + 4 \, \sqrt{\sqrt{2} + 1} - 11\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} - 4 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 1\right)} \sqrt{\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1} \log\left({\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{3} - 6 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} + 7 \, \sqrt{2} - 7 \, \sqrt{\sqrt{2} + 1} + 8\right)} \sqrt{\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1} \log\left(-{\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{3} - 6 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} + 7 \, \sqrt{2} - 7 \, \sqrt{\sqrt{2} + 1} + 8\right)} \sqrt{\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1} \log\left({\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{3} + {\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 17\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} + 12 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 19\right)} \sqrt{\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1} \log\left(-{\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{3} + {\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 17\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} + 12 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 19\right)} \sqrt{\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1} \log\left({\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{3} + 14 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 17 \, \sqrt{2} - 17 \, \sqrt{\sqrt{2} - 1} - 34\right)} \sqrt{\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1} \log\left(-{\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{3} + 14 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 17 \, \sqrt{2} - 17 \, \sqrt{\sqrt{2} - 1} - 34\right)} \sqrt{\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} \log\left(\frac{1}{2} \, {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + {\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{2} + 4 \, \sqrt{\sqrt{2} + 1} - 11\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} + 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} + 4 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + 2 \, \sqrt{2} - 2 \, \sqrt{\sqrt{2} + 1} + 1\right)} - 7 \, \sqrt{2} + 7 \, \sqrt{\sqrt{2} + 1} - 9\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} \log\left(-\frac{1}{2} \, {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + {\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{2} + 4 \, \sqrt{\sqrt{2} + 1} - 11\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} + 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} + 4 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + 2 \, \sqrt{2} - 2 \, \sqrt{\sqrt{2} + 1} + 1\right)} - 7 \, \sqrt{2} + 7 \, \sqrt{\sqrt{2} + 1} - 9\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} \log\left(\frac{1}{2} \, {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + {\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{2} + 4 \, \sqrt{\sqrt{2} + 1} - 11\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} + 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + 2 \, \sqrt{2} - 2 \, \sqrt{\sqrt{2} + 1} + 1\right)} - 7 \, \sqrt{2} + 7 \, \sqrt{\sqrt{2} + 1} - 9\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} \log\left(-\frac{1}{2} \, {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + {\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{2} + 4 \, \sqrt{\sqrt{2} + 1} - 11\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} + 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + 2 \, \sqrt{2} - 2 \, \sqrt{\sqrt{2} + 1} + 1\right)} - 7 \, \sqrt{2} + 7 \, \sqrt{\sqrt{2} + 1} - 9\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} \log\left(\frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + {\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 17\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 4 \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, \sqrt{2} + 2 \, \sqrt{\sqrt{2} - 1} - 1\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 5 \, \sqrt{2} + 5 \, \sqrt{\sqrt{2} - 1} + 15\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} \log\left(-\frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + {\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 17\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 4 \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, \sqrt{2} + 2 \, \sqrt{\sqrt{2} - 1} - 1\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 5 \, \sqrt{2} + 5 \, \sqrt{\sqrt{2} - 1} + 15\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} \log\left(\frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + {\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 17\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - 4 \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, \sqrt{2} + 2 \, \sqrt{\sqrt{2} - 1} - 1\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 5 \, \sqrt{2} + 5 \, \sqrt{\sqrt{2} - 1} + 15\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} \log\left(-\frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + {\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 17\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - 4 \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, \sqrt{2} + 2 \, \sqrt{\sqrt{2} - 1} - 1\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 5 \, \sqrt{2} + 5 \, \sqrt{\sqrt{2} - 1} + 15\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right)"," ",0,"-1/2*sqrt(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*log(((sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + (sqrt(2) - sqrt(sqrt(2) + 1) + 1)^3 + ((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(2) + 4*sqrt(sqrt(2) + 1) - 11)*(sqrt(2) + sqrt(sqrt(2) + 1) + 1) - 4*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1)*sqrt(sqrt(2) + sqrt(sqrt(2) + 1) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*log(-((sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + (sqrt(2) - sqrt(sqrt(2) + 1) + 1)^3 + ((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(2) + 4*sqrt(sqrt(2) + 1) - 11)*(sqrt(2) + sqrt(sqrt(2) + 1) + 1) - 4*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1)*sqrt(sqrt(2) + sqrt(sqrt(2) + 1) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) - sqrt(sqrt(2) + 1) + 1)*log(((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^3 - 6*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 + 7*sqrt(2) - 7*sqrt(sqrt(2) + 1) + 8)*sqrt(sqrt(2) - sqrt(sqrt(2) + 1) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) - sqrt(sqrt(2) + 1) + 1)*log(-((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^3 - 6*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 + 7*sqrt(2) - 7*sqrt(sqrt(2) + 1) + 8)*sqrt(sqrt(2) - sqrt(sqrt(2) + 1) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*log(((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 + 3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^3 + (3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 17)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) + 12*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 19)*sqrt(sqrt(2) + sqrt(sqrt(2) - 1) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*log(-((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 + 3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^3 + (3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 17)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) + 12*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 19)*sqrt(sqrt(2) + sqrt(sqrt(2) - 1) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) - sqrt(sqrt(2) - 1) - 1)*log((3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^3 + 14*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 17*sqrt(2) - 17*sqrt(sqrt(2) - 1) - 34)*sqrt(sqrt(2) - sqrt(sqrt(2) - 1) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) - sqrt(sqrt(2) - 1) - 1)*log(-(3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^3 + 14*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 17*sqrt(2) - 17*sqrt(sqrt(2) - 1) - 34)*sqrt(sqrt(2) - sqrt(sqrt(2) - 1) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1)*log(1/2*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + ((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(2) + 4*sqrt(sqrt(2) + 1) - 11)*(sqrt(2) + sqrt(sqrt(2) + 1) + 1) + 2*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 + 4*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2)*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + 2*sqrt(2) - 2*sqrt(sqrt(2) + 1) + 1) - 7*sqrt(2) + 7*sqrt(sqrt(2) + 1) - 9)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1)*log(-1/2*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + ((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(2) + 4*sqrt(sqrt(2) + 1) - 11)*(sqrt(2) + sqrt(sqrt(2) + 1) + 1) + 2*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 + 4*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2)*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + 2*sqrt(2) - 2*sqrt(sqrt(2) + 1) + 1) - 7*sqrt(2) + 7*sqrt(sqrt(2) + 1) - 9)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1)*log(1/2*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + ((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(2) + 4*sqrt(sqrt(2) + 1) - 11)*(sqrt(2) + sqrt(sqrt(2) + 1) + 1) + 2*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2)*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + 2*sqrt(2) - 2*sqrt(sqrt(2) + 1) + 1) - 7*sqrt(2) + 7*sqrt(sqrt(2) + 1) - 9)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1)*log(-1/2*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + ((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(2) + 4*sqrt(sqrt(2) + 1) - 11)*(sqrt(2) + sqrt(sqrt(2) + 1) + 1) + 2*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2)*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + 2*sqrt(2) - 2*sqrt(sqrt(2) + 1) + 1) - 7*sqrt(2) + 7*sqrt(sqrt(2) + 1) - 9)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1)*log(1/2*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 + (3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 17)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 4*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*sqrt(2) + 2*sqrt(sqrt(2) - 1) - 1)*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 5*sqrt(2) + 5*sqrt(sqrt(2) - 1) + 15)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1)*log(-1/2*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 + (3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 17)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 4*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*sqrt(2) + 2*sqrt(sqrt(2) - 1) - 1)*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 5*sqrt(2) + 5*sqrt(sqrt(2) - 1) + 15)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1)*log(1/2*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 + (3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 17)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 4*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*sqrt(2) + 2*sqrt(sqrt(2) - 1) - 1)*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 5*sqrt(2) + 5*sqrt(sqrt(2) - 1) + 15)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1)*log(-1/2*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 + (3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 17)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 4*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*sqrt(2) + 2*sqrt(sqrt(2) - 1) - 1)*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 5*sqrt(2) + 5*sqrt(sqrt(2) - 1) + 15)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))","B",0
1924,1,4633,0,1.731752," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1} \log\left({\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{3} + {\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{2} + 4 \, \sqrt{\sqrt{2} + 1} - 11\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} - 4 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 1\right)} \sqrt{\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1} \log\left(-{\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{3} + {\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{2} + 4 \, \sqrt{\sqrt{2} + 1} - 11\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} - 4 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 1\right)} \sqrt{\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1} \log\left({\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{3} - 6 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} + 7 \, \sqrt{2} - 7 \, \sqrt{\sqrt{2} + 1} + 8\right)} \sqrt{\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1} \log\left(-{\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{3} - 6 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} + 7 \, \sqrt{2} - 7 \, \sqrt{\sqrt{2} + 1} + 8\right)} \sqrt{\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1} \log\left({\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{3} + {\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 17\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} + 12 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 19\right)} \sqrt{\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1} \log\left(-{\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{3} + {\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 17\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} + 12 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 19\right)} \sqrt{\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1} \log\left({\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{3} + 14 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 17 \, \sqrt{2} - 17 \, \sqrt{\sqrt{2} - 1} - 34\right)} \sqrt{\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1} \log\left(-{\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{3} + 14 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 17 \, \sqrt{2} - 17 \, \sqrt{\sqrt{2} - 1} - 34\right)} \sqrt{\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} \log\left(\frac{1}{2} \, {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + {\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{2} + 4 \, \sqrt{\sqrt{2} + 1} - 11\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} + 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} + 4 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + 2 \, \sqrt{2} - 2 \, \sqrt{\sqrt{2} + 1} + 1\right)} - 7 \, \sqrt{2} + 7 \, \sqrt{\sqrt{2} + 1} - 9\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} \log\left(-\frac{1}{2} \, {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + {\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{2} + 4 \, \sqrt{\sqrt{2} + 1} - 11\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} + 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} + 4 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + 2 \, \sqrt{2} - 2 \, \sqrt{\sqrt{2} + 1} + 1\right)} - 7 \, \sqrt{2} + 7 \, \sqrt{\sqrt{2} + 1} - 9\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} \log\left(\frac{1}{2} \, {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + {\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{2} + 4 \, \sqrt{\sqrt{2} + 1} - 11\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} + 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + 2 \, \sqrt{2} - 2 \, \sqrt{\sqrt{2} + 1} + 1\right)} - 7 \, \sqrt{2} + 7 \, \sqrt{\sqrt{2} + 1} - 9\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} \log\left(-\frac{1}{2} \, {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + {\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{2} + 4 \, \sqrt{\sqrt{2} + 1} - 11\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} + 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + 2 \, \sqrt{2} - 2 \, \sqrt{\sqrt{2} + 1} + 1\right)} - 7 \, \sqrt{2} + 7 \, \sqrt{\sqrt{2} + 1} - 9\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} \log\left(\frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + {\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 17\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 4 \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, \sqrt{2} + 2 \, \sqrt{\sqrt{2} - 1} - 1\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 5 \, \sqrt{2} + 5 \, \sqrt{\sqrt{2} - 1} + 15\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} \log\left(-\frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + {\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 17\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 4 \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, \sqrt{2} + 2 \, \sqrt{\sqrt{2} - 1} - 1\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 5 \, \sqrt{2} + 5 \, \sqrt{\sqrt{2} - 1} + 15\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} \log\left(\frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + {\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 17\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - 4 \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, \sqrt{2} + 2 \, \sqrt{\sqrt{2} - 1} - 1\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 5 \, \sqrt{2} + 5 \, \sqrt{\sqrt{2} - 1} + 15\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} \log\left(-\frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + {\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 17\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - 4 \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, \sqrt{2} + 2 \, \sqrt{\sqrt{2} - 1} - 1\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 5 \, \sqrt{2} + 5 \, \sqrt{\sqrt{2} - 1} + 15\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right)"," ",0,"-1/2*sqrt(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*log(((sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + (sqrt(2) - sqrt(sqrt(2) + 1) + 1)^3 + ((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(2) + 4*sqrt(sqrt(2) + 1) - 11)*(sqrt(2) + sqrt(sqrt(2) + 1) + 1) - 4*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1)*sqrt(sqrt(2) + sqrt(sqrt(2) + 1) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*log(-((sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + (sqrt(2) - sqrt(sqrt(2) + 1) + 1)^3 + ((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(2) + 4*sqrt(sqrt(2) + 1) - 11)*(sqrt(2) + sqrt(sqrt(2) + 1) + 1) - 4*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1)*sqrt(sqrt(2) + sqrt(sqrt(2) + 1) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) - sqrt(sqrt(2) + 1) + 1)*log(((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^3 - 6*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 + 7*sqrt(2) - 7*sqrt(sqrt(2) + 1) + 8)*sqrt(sqrt(2) - sqrt(sqrt(2) + 1) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) - sqrt(sqrt(2) + 1) + 1)*log(-((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^3 - 6*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 + 7*sqrt(2) - 7*sqrt(sqrt(2) + 1) + 8)*sqrt(sqrt(2) - sqrt(sqrt(2) + 1) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*log(((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 + 3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^3 + (3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 17)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) + 12*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 19)*sqrt(sqrt(2) + sqrt(sqrt(2) - 1) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*log(-((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 + 3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^3 + (3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 17)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) + 12*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 19)*sqrt(sqrt(2) + sqrt(sqrt(2) - 1) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) - sqrt(sqrt(2) - 1) - 1)*log((3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^3 + 14*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 17*sqrt(2) - 17*sqrt(sqrt(2) - 1) - 34)*sqrt(sqrt(2) - sqrt(sqrt(2) - 1) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) - sqrt(sqrt(2) - 1) - 1)*log(-(3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^3 + 14*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 17*sqrt(2) - 17*sqrt(sqrt(2) - 1) - 34)*sqrt(sqrt(2) - sqrt(sqrt(2) - 1) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1)*log(1/2*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + ((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(2) + 4*sqrt(sqrt(2) + 1) - 11)*(sqrt(2) + sqrt(sqrt(2) + 1) + 1) + 2*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 + 4*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2)*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + 2*sqrt(2) - 2*sqrt(sqrt(2) + 1) + 1) - 7*sqrt(2) + 7*sqrt(sqrt(2) + 1) - 9)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1)*log(-1/2*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + ((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(2) + 4*sqrt(sqrt(2) + 1) - 11)*(sqrt(2) + sqrt(sqrt(2) + 1) + 1) + 2*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 + 4*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2)*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + 2*sqrt(2) - 2*sqrt(sqrt(2) + 1) + 1) - 7*sqrt(2) + 7*sqrt(sqrt(2) + 1) - 9)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1)*log(1/2*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + ((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(2) + 4*sqrt(sqrt(2) + 1) - 11)*(sqrt(2) + sqrt(sqrt(2) + 1) + 1) + 2*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2)*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + 2*sqrt(2) - 2*sqrt(sqrt(2) + 1) + 1) - 7*sqrt(2) + 7*sqrt(sqrt(2) + 1) - 9)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1)*log(-1/2*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + ((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(2) + 4*sqrt(sqrt(2) + 1) - 11)*(sqrt(2) + sqrt(sqrt(2) + 1) + 1) + 2*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2)*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + 2*sqrt(2) - 2*sqrt(sqrt(2) + 1) + 1) - 7*sqrt(2) + 7*sqrt(sqrt(2) + 1) - 9)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1)*log(1/2*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 + (3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 17)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 4*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*sqrt(2) + 2*sqrt(sqrt(2) - 1) - 1)*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 5*sqrt(2) + 5*sqrt(sqrt(2) - 1) + 15)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1)*log(-1/2*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 + (3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 17)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 4*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*sqrt(2) + 2*sqrt(sqrt(2) - 1) - 1)*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 5*sqrt(2) + 5*sqrt(sqrt(2) - 1) + 15)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1)*log(1/2*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 + (3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 17)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 4*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*sqrt(2) + 2*sqrt(sqrt(2) - 1) - 1)*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 5*sqrt(2) + 5*sqrt(sqrt(2) - 1) + 15)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1)*log(-1/2*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 + (3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 17)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 4*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*sqrt(2) + 2*sqrt(sqrt(2) - 1) - 1)*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 5*sqrt(2) + 5*sqrt(sqrt(2) - 1) + 15)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))","B",0
1925,1,274,0,2.349132," ","integrate((x^3-2)*(x^3+1)^(2/3)/x^6/(2*x^3-1),x, algorithm=""fricas"")","-\frac{10 \, \sqrt{3} \left(-9\right)^{\frac{1}{3}} x^{5} \arctan\left(\frac{2 \, \sqrt{3} \left(-9\right)^{\frac{2}{3}} {\left(14 \, x^{7} - 5 \, x^{4} - x\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}} + 6 \, \sqrt{3} \left(-9\right)^{\frac{1}{3}} {\left(31 \, x^{8} + 23 \, x^{5} + x^{2}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}} - \sqrt{3} {\left(127 \, x^{9} + 201 \, x^{6} + 48 \, x^{3} + 1\right)}}{3 \, {\left(251 \, x^{9} + 231 \, x^{6} + 6 \, x^{3} - 1\right)}}\right) - 10 \, \left(-9\right)^{\frac{1}{3}} x^{5} \log\left(\frac{3 \, \left(-9\right)^{\frac{2}{3}} {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 9 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + \left(-9\right)^{\frac{1}{3}} {\left(2 \, x^{3} - 1\right)}}{2 \, x^{3} - 1}\right) + 5 \, \left(-9\right)^{\frac{1}{3}} x^{5} \log\left(-\frac{9 \, \left(-9\right)^{\frac{1}{3}} {\left(7 \, x^{4} + x\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}} - \left(-9\right)^{\frac{2}{3}} {\left(31 \, x^{6} + 23 \, x^{3} + 1\right)} - 27 \, {\left(5 \, x^{5} + 2 \, x^{2}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{4 \, x^{6} - 4 \, x^{3} + 1}\right) + 3 \, {\left(19 \, x^{3} + 4\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{30 \, x^{5}}"," ",0,"-1/30*(10*sqrt(3)*(-9)^(1/3)*x^5*arctan(1/3*(2*sqrt(3)*(-9)^(2/3)*(14*x^7 - 5*x^4 - x)*(x^3 + 1)^(2/3) + 6*sqrt(3)*(-9)^(1/3)*(31*x^8 + 23*x^5 + x^2)*(x^3 + 1)^(1/3) - sqrt(3)*(127*x^9 + 201*x^6 + 48*x^3 + 1))/(251*x^9 + 231*x^6 + 6*x^3 - 1)) - 10*(-9)^(1/3)*x^5*log((3*(-9)^(2/3)*(x^3 + 1)^(1/3)*x^2 - 9*(x^3 + 1)^(2/3)*x + (-9)^(1/3)*(2*x^3 - 1))/(2*x^3 - 1)) + 5*(-9)^(1/3)*x^5*log(-(9*(-9)^(1/3)*(7*x^4 + x)*(x^3 + 1)^(2/3) - (-9)^(2/3)*(31*x^6 + 23*x^3 + 1) - 27*(5*x^5 + 2*x^2)*(x^3 + 1)^(1/3))/(4*x^6 - 4*x^3 + 1)) + 3*(19*x^3 + 4)*(x^3 + 1)^(2/3))/x^5","B",0
1926,-1,0,0,0.000000," ","integrate(1/x^3/(a*x^3+b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1927,-1,0,0,0.000000," ","integrate(1/x^3/(a*x^3+b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1928,1,209,0,0.577120," ","integrate((x^4+x-1)*(x^4-x^3)^(1/4)/(1+x),x, algorithm=""fricas"")","\frac{1}{30720} \, {\left(6144 \, x^{4} - 8064 \, x^{3} + 10400 \, x^{2} - 1060 \, x - 32575\right)} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} + 4 \cdot 2^{\frac{1}{4}} \arctan\left(\frac{2^{\frac{3}{4}} x \sqrt{\frac{\sqrt{2} x^{2} + \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2^{\frac{3}{4}} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{2 \, x}\right) - 2^{\frac{1}{4}} \log\left(\frac{2^{\frac{1}{4}} x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 2^{\frac{1}{4}} \log\left(-\frac{2^{\frac{1}{4}} x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{9869}{4096} \, \arctan\left(\frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{9869}{8192} \, \log\left(\frac{x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{9869}{8192} \, \log\left(-\frac{x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"1/30720*(6144*x^4 - 8064*x^3 + 10400*x^2 - 1060*x - 32575)*(x^4 - x^3)^(1/4) + 4*2^(1/4)*arctan(1/2*(2^(3/4)*x*sqrt((sqrt(2)*x^2 + sqrt(x^4 - x^3))/x^2) - 2^(3/4)*(x^4 - x^3)^(1/4))/x) - 2^(1/4)*log((2^(1/4)*x + (x^4 - x^3)^(1/4))/x) + 2^(1/4)*log(-(2^(1/4)*x - (x^4 - x^3)^(1/4))/x) + 9869/4096*arctan((x^4 - x^3)^(1/4)/x) + 9869/8192*log((x + (x^4 - x^3)^(1/4))/x) - 9869/8192*log(-(x - (x^4 - x^3)^(1/4))/x)","A",0
1929,1,391,0,96.505177," ","integrate((x^4-3)*(x^4+1)^(2/3)/x^3/(2*x^4+x^3+2),x, algorithm=""fricas"")","\frac{4 \cdot 4^{\frac{1}{6}} \sqrt{3} x^{2} \arctan\left(\frac{4^{\frac{1}{6}} \sqrt{3} {\left(12 \cdot 4^{\frac{2}{3}} {\left(2 \, x^{9} - x^{8} - x^{7} + 4 \, x^{5} - x^{4} + 2 \, x\right)} {\left(x^{4} + 1\right)}^{\frac{2}{3}} - 4^{\frac{1}{3}} {\left(8 \, x^{12} - 60 \, x^{11} + 24 \, x^{10} + x^{9} + 24 \, x^{8} - 120 \, x^{7} + 24 \, x^{6} + 24 \, x^{4} - 60 \, x^{3} + 8\right)} - 12 \, {\left(4 \, x^{10} - 14 \, x^{9} + x^{8} + 8 \, x^{6} - 14 \, x^{5} + 4 \, x^{2}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{3}}\right)}}{6 \, {\left(8 \, x^{12} + 12 \, x^{11} - 48 \, x^{10} + x^{9} + 24 \, x^{8} + 24 \, x^{7} - 48 \, x^{6} + 24 \, x^{4} + 12 \, x^{3} + 8\right)}}\right) + 2 \cdot 4^{\frac{2}{3}} x^{2} \log\left(-\frac{6 \cdot 4^{\frac{1}{3}} {\left(x^{4} + 1\right)}^{\frac{1}{3}} x^{2} + 4^{\frac{2}{3}} {\left(2 \, x^{4} + x^{3} + 2\right)} + 12 \, {\left(x^{4} + 1\right)}^{\frac{2}{3}} x}{2 \, x^{4} + x^{3} + 2}\right) - 4^{\frac{2}{3}} x^{2} \log\left(-\frac{6 \cdot 4^{\frac{2}{3}} {\left(x^{5} - x^{4} + x\right)} {\left(x^{4} + 1\right)}^{\frac{2}{3}} - 4^{\frac{1}{3}} {\left(4 \, x^{8} - 14 \, x^{7} + x^{6} + 8 \, x^{4} - 14 \, x^{3} + 4\right)} - 6 \, {\left(4 \, x^{6} - x^{5} + 4 \, x^{2}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{3}}}{4 \, x^{8} + 4 \, x^{7} + x^{6} + 8 \, x^{4} + 4 \, x^{3} + 4}\right) + 36 \, {\left(x^{4} + 1\right)}^{\frac{2}{3}}}{48 \, x^{2}}"," ",0,"1/48*(4*4^(1/6)*sqrt(3)*x^2*arctan(1/6*4^(1/6)*sqrt(3)*(12*4^(2/3)*(2*x^9 - x^8 - x^7 + 4*x^5 - x^4 + 2*x)*(x^4 + 1)^(2/3) - 4^(1/3)*(8*x^12 - 60*x^11 + 24*x^10 + x^9 + 24*x^8 - 120*x^7 + 24*x^6 + 24*x^4 - 60*x^3 + 8) - 12*(4*x^10 - 14*x^9 + x^8 + 8*x^6 - 14*x^5 + 4*x^2)*(x^4 + 1)^(1/3))/(8*x^12 + 12*x^11 - 48*x^10 + x^9 + 24*x^8 + 24*x^7 - 48*x^6 + 24*x^4 + 12*x^3 + 8)) + 2*4^(2/3)*x^2*log(-(6*4^(1/3)*(x^4 + 1)^(1/3)*x^2 + 4^(2/3)*(2*x^4 + x^3 + 2) + 12*(x^4 + 1)^(2/3)*x)/(2*x^4 + x^3 + 2)) - 4^(2/3)*x^2*log(-(6*4^(2/3)*(x^5 - x^4 + x)*(x^4 + 1)^(2/3) - 4^(1/3)*(4*x^8 - 14*x^7 + x^6 + 8*x^4 - 14*x^3 + 4) - 6*(4*x^6 - x^5 + 4*x^2)*(x^4 + 1)^(1/3))/(4*x^8 + 4*x^7 + x^6 + 8*x^4 + 4*x^3 + 4)) + 36*(x^4 + 1)^(2/3))/x^2","B",0
1930,1,494,0,86.520957," ","integrate((a*x^4-4*b)*(a*x^4+b)^(3/4)/x^8/(a*x^4+4*b),x, algorithm=""fricas"")","-\frac{84 \, \left(\frac{27}{4}\right)^{\frac{1}{4}} \left(\frac{a^{7}}{b^{4}}\right)^{\frac{1}{4}} b x^{7} \arctan\left(-\frac{4 \, {\left(27 \, \left(\frac{27}{4}\right)^{\frac{1}{4}} {\left(a x^{4} + b\right)}^{\frac{1}{4}} \left(\frac{a^{7}}{b^{4}}\right)^{\frac{1}{4}} a^{9} b x^{3} + 12 \, \left(\frac{27}{4}\right)^{\frac{3}{4}} {\left(a x^{4} + b\right)}^{\frac{3}{4}} \left(\frac{a^{7}}{b^{4}}\right)^{\frac{3}{4}} a^{5} b^{3} x - \sqrt{\frac{3}{2}} \sqrt{\sqrt{3} \sqrt{\frac{a^{7}}{b^{4}}} a^{6} b^{2}} {\left(18 \, \left(\frac{27}{4}\right)^{\frac{1}{4}} \sqrt{a x^{4} + b} \left(\frac{a^{7}}{b^{4}}\right)^{\frac{1}{4}} a^{4} b x^{2} + \left(\frac{27}{4}\right)^{\frac{3}{4}} {\left(7 \, a b^{3} x^{4} + 4 \, b^{4}\right)} \left(\frac{a^{7}}{b^{4}}\right)^{\frac{3}{4}}\right)}\right)}}{27 \, {\left(a^{11} x^{4} + 4 \, a^{10} b\right)}}\right) - 21 \, \left(\frac{27}{4}\right)^{\frac{1}{4}} \left(\frac{a^{7}}{b^{4}}\right)^{\frac{1}{4}} b x^{7} \log\left(\frac{18 \, \sqrt{3} {\left(a x^{4} + b\right)}^{\frac{1}{4}} \sqrt{\frac{a^{7}}{b^{4}}} a^{2} b^{2} x^{3} + 8 \, \left(\frac{27}{4}\right)^{\frac{3}{4}} \sqrt{a x^{4} + b} \left(\frac{a^{7}}{b^{4}}\right)^{\frac{3}{4}} b^{3} x^{2} + 36 \, {\left(a x^{4} + b\right)}^{\frac{3}{4}} a^{5} x + 3 \, \left(\frac{27}{4}\right)^{\frac{1}{4}} {\left(7 \, a^{4} b x^{4} + 4 \, a^{3} b^{2}\right)} \left(\frac{a^{7}}{b^{4}}\right)^{\frac{1}{4}}}{4 \, {\left(a x^{4} + 4 \, b\right)}}\right) + 21 \, \left(\frac{27}{4}\right)^{\frac{1}{4}} \left(\frac{a^{7}}{b^{4}}\right)^{\frac{1}{4}} b x^{7} \log\left(\frac{18 \, \sqrt{3} {\left(a x^{4} + b\right)}^{\frac{1}{4}} \sqrt{\frac{a^{7}}{b^{4}}} a^{2} b^{2} x^{3} - 8 \, \left(\frac{27}{4}\right)^{\frac{3}{4}} \sqrt{a x^{4} + b} \left(\frac{a^{7}}{b^{4}}\right)^{\frac{3}{4}} b^{3} x^{2} + 36 \, {\left(a x^{4} + b\right)}^{\frac{3}{4}} a^{5} x - 3 \, \left(\frac{27}{4}\right)^{\frac{1}{4}} {\left(7 \, a^{4} b x^{4} + 4 \, a^{3} b^{2}\right)} \left(\frac{a^{7}}{b^{4}}\right)^{\frac{1}{4}}}{4 \, {\left(a x^{4} + 4 \, b\right)}}\right) + 16 \, {\left(a x^{4} + b\right)}^{\frac{3}{4}} {\left(a x^{4} - 6 \, b\right)}}{672 \, b x^{7}}"," ",0,"-1/672*(84*(27/4)^(1/4)*(a^7/b^4)^(1/4)*b*x^7*arctan(-4/27*(27*(27/4)^(1/4)*(a*x^4 + b)^(1/4)*(a^7/b^4)^(1/4)*a^9*b*x^3 + 12*(27/4)^(3/4)*(a*x^4 + b)^(3/4)*(a^7/b^4)^(3/4)*a^5*b^3*x - sqrt(3/2)*sqrt(sqrt(3)*sqrt(a^7/b^4)*a^6*b^2)*(18*(27/4)^(1/4)*sqrt(a*x^4 + b)*(a^7/b^4)^(1/4)*a^4*b*x^2 + (27/4)^(3/4)*(7*a*b^3*x^4 + 4*b^4)*(a^7/b^4)^(3/4)))/(a^11*x^4 + 4*a^10*b)) - 21*(27/4)^(1/4)*(a^7/b^4)^(1/4)*b*x^7*log(1/4*(18*sqrt(3)*(a*x^4 + b)^(1/4)*sqrt(a^7/b^4)*a^2*b^2*x^3 + 8*(27/4)^(3/4)*sqrt(a*x^4 + b)*(a^7/b^4)^(3/4)*b^3*x^2 + 36*(a*x^4 + b)^(3/4)*a^5*x + 3*(27/4)^(1/4)*(7*a^4*b*x^4 + 4*a^3*b^2)*(a^7/b^4)^(1/4))/(a*x^4 + 4*b)) + 21*(27/4)^(1/4)*(a^7/b^4)^(1/4)*b*x^7*log(1/4*(18*sqrt(3)*(a*x^4 + b)^(1/4)*sqrt(a^7/b^4)*a^2*b^2*x^3 - 8*(27/4)^(3/4)*sqrt(a*x^4 + b)*(a^7/b^4)^(3/4)*b^3*x^2 + 36*(a*x^4 + b)^(3/4)*a^5*x - 3*(27/4)^(1/4)*(7*a^4*b*x^4 + 4*a^3*b^2)*(a^7/b^4)^(1/4))/(a*x^4 + 4*b)) + 16*(a*x^4 + b)^(3/4)*(a*x^4 - 6*b))/(b*x^7)","B",0
1931,1,495,0,89.719498," ","integrate((a*x^4+b)^(3/4)*(a*x^4+2*b)/x^8/(a*x^4+4*b),x, algorithm=""fricas"")","-\frac{84 \, \left(\frac{27}{4}\right)^{\frac{1}{4}} \left(\frac{a^{7}}{b^{4}}\right)^{\frac{1}{4}} b x^{7} \arctan\left(-\frac{4 \, {\left(27 \, \left(\frac{27}{4}\right)^{\frac{1}{4}} {\left(a x^{4} + b\right)}^{\frac{1}{4}} \left(\frac{a^{7}}{b^{4}}\right)^{\frac{1}{4}} a^{9} b x^{3} + 12 \, \left(\frac{27}{4}\right)^{\frac{3}{4}} {\left(a x^{4} + b\right)}^{\frac{3}{4}} \left(\frac{a^{7}}{b^{4}}\right)^{\frac{3}{4}} a^{5} b^{3} x - \sqrt{\frac{3}{2}} \sqrt{\sqrt{3} \sqrt{\frac{a^{7}}{b^{4}}} a^{6} b^{2}} {\left(18 \, \left(\frac{27}{4}\right)^{\frac{1}{4}} \sqrt{a x^{4} + b} \left(\frac{a^{7}}{b^{4}}\right)^{\frac{1}{4}} a^{4} b x^{2} + \left(\frac{27}{4}\right)^{\frac{3}{4}} {\left(7 \, a b^{3} x^{4} + 4 \, b^{4}\right)} \left(\frac{a^{7}}{b^{4}}\right)^{\frac{3}{4}}\right)}\right)}}{27 \, {\left(a^{11} x^{4} + 4 \, a^{10} b\right)}}\right) - 21 \, \left(\frac{27}{4}\right)^{\frac{1}{4}} \left(\frac{a^{7}}{b^{4}}\right)^{\frac{1}{4}} b x^{7} \log\left(\frac{18 \, \sqrt{3} {\left(a x^{4} + b\right)}^{\frac{1}{4}} \sqrt{\frac{a^{7}}{b^{4}}} a^{2} b^{2} x^{3} + 8 \, \left(\frac{27}{4}\right)^{\frac{3}{4}} \sqrt{a x^{4} + b} \left(\frac{a^{7}}{b^{4}}\right)^{\frac{3}{4}} b^{3} x^{2} + 36 \, {\left(a x^{4} + b\right)}^{\frac{3}{4}} a^{5} x + 3 \, \left(\frac{27}{4}\right)^{\frac{1}{4}} {\left(7 \, a^{4} b x^{4} + 4 \, a^{3} b^{2}\right)} \left(\frac{a^{7}}{b^{4}}\right)^{\frac{1}{4}}}{4 \, {\left(a x^{4} + 4 \, b\right)}}\right) + 21 \, \left(\frac{27}{4}\right)^{\frac{1}{4}} \left(\frac{a^{7}}{b^{4}}\right)^{\frac{1}{4}} b x^{7} \log\left(\frac{18 \, \sqrt{3} {\left(a x^{4} + b\right)}^{\frac{1}{4}} \sqrt{\frac{a^{7}}{b^{4}}} a^{2} b^{2} x^{3} - 8 \, \left(\frac{27}{4}\right)^{\frac{3}{4}} \sqrt{a x^{4} + b} \left(\frac{a^{7}}{b^{4}}\right)^{\frac{3}{4}} b^{3} x^{2} + 36 \, {\left(a x^{4} + b\right)}^{\frac{3}{4}} a^{5} x - 3 \, \left(\frac{27}{4}\right)^{\frac{1}{4}} {\left(7 \, a^{4} b x^{4} + 4 \, a^{3} b^{2}\right)} \left(\frac{a^{7}}{b^{4}}\right)^{\frac{1}{4}}}{4 \, {\left(a x^{4} + 4 \, b\right)}}\right) + 16 \, {\left(19 \, a x^{4} + 12 \, b\right)} {\left(a x^{4} + b\right)}^{\frac{3}{4}}}{2688 \, b x^{7}}"," ",0,"-1/2688*(84*(27/4)^(1/4)*(a^7/b^4)^(1/4)*b*x^7*arctan(-4/27*(27*(27/4)^(1/4)*(a*x^4 + b)^(1/4)*(a^7/b^4)^(1/4)*a^9*b*x^3 + 12*(27/4)^(3/4)*(a*x^4 + b)^(3/4)*(a^7/b^4)^(3/4)*a^5*b^3*x - sqrt(3/2)*sqrt(sqrt(3)*sqrt(a^7/b^4)*a^6*b^2)*(18*(27/4)^(1/4)*sqrt(a*x^4 + b)*(a^7/b^4)^(1/4)*a^4*b*x^2 + (27/4)^(3/4)*(7*a*b^3*x^4 + 4*b^4)*(a^7/b^4)^(3/4)))/(a^11*x^4 + 4*a^10*b)) - 21*(27/4)^(1/4)*(a^7/b^4)^(1/4)*b*x^7*log(1/4*(18*sqrt(3)*(a*x^4 + b)^(1/4)*sqrt(a^7/b^4)*a^2*b^2*x^3 + 8*(27/4)^(3/4)*sqrt(a*x^4 + b)*(a^7/b^4)^(3/4)*b^3*x^2 + 36*(a*x^4 + b)^(3/4)*a^5*x + 3*(27/4)^(1/4)*(7*a^4*b*x^4 + 4*a^3*b^2)*(a^7/b^4)^(1/4))/(a*x^4 + 4*b)) + 21*(27/4)^(1/4)*(a^7/b^4)^(1/4)*b*x^7*log(1/4*(18*sqrt(3)*(a*x^4 + b)^(1/4)*sqrt(a^7/b^4)*a^2*b^2*x^3 - 8*(27/4)^(3/4)*sqrt(a*x^4 + b)*(a^7/b^4)^(3/4)*b^3*x^2 + 36*(a*x^4 + b)^(3/4)*a^5*x - 3*(27/4)^(1/4)*(7*a^4*b*x^4 + 4*a^3*b^2)*(a^7/b^4)^(1/4))/(a*x^4 + 4*b)) + 16*(19*a*x^4 + 12*b)*(a*x^4 + b)^(3/4))/(b*x^7)","B",0
1932,1,275,0,0.465159," ","integrate(x^4*(a*x^4+b*x^3)^(1/4)/(a*x+b),x, algorithm=""fricas"")","\frac{87780 \, a^{5} \left(\frac{b^{20}}{a^{23}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} a^{17} b^{5} \left(\frac{b^{20}}{a^{23}}\right)^{\frac{3}{4}} - a^{17} x \sqrt{\frac{a^{12} x^{2} \sqrt{\frac{b^{20}}{a^{23}}} + \sqrt{a x^{4} + b x^{3}} b^{10}}{x^{2}}} \left(\frac{b^{20}}{a^{23}}\right)^{\frac{3}{4}}}{b^{20} x}\right) - 21945 \, a^{5} \left(\frac{b^{20}}{a^{23}}\right)^{\frac{1}{4}} \log\left(\frac{4389 \, {\left(a^{6} x \left(\frac{b^{20}}{a^{23}}\right)^{\frac{1}{4}} + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} b^{5}\right)}}{x}\right) + 21945 \, a^{5} \left(\frac{b^{20}}{a^{23}}\right)^{\frac{1}{4}} \log\left(-\frac{4389 \, {\left(a^{6} x \left(\frac{b^{20}}{a^{23}}\right)^{\frac{1}{4}} - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} b^{5}\right)}}{x}\right) + 4 \, {\left(2048 \, a^{4} x^{4} - 2432 \, a^{3} b x^{3} + 3040 \, a^{2} b^{2} x^{2} - 4180 \, a b^{3} x + 7315 \, b^{4}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{40960 \, a^{5}}"," ",0,"1/40960*(87780*a^5*(b^20/a^23)^(1/4)*arctan(-((a*x^4 + b*x^3)^(1/4)*a^17*b^5*(b^20/a^23)^(3/4) - a^17*x*sqrt((a^12*x^2*sqrt(b^20/a^23) + sqrt(a*x^4 + b*x^3)*b^10)/x^2)*(b^20/a^23)^(3/4))/(b^20*x)) - 21945*a^5*(b^20/a^23)^(1/4)*log(4389*(a^6*x*(b^20/a^23)^(1/4) + (a*x^4 + b*x^3)^(1/4)*b^5)/x) + 21945*a^5*(b^20/a^23)^(1/4)*log(-4389*(a^6*x*(b^20/a^23)^(1/4) - (a*x^4 + b*x^3)^(1/4)*b^5)/x) + 4*(2048*a^4*x^4 - 2432*a^3*b*x^3 + 3040*a^2*b^2*x^2 - 4180*a*b^3*x + 7315*b^4)*(a*x^4 + b*x^3)^(1/4))/a^5","B",0
1933,1,132,0,0.502515," ","integrate((a*x^2+b)/(a*x^2-b)/(a^2*x^4+b^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{1}{4} \, \sqrt{2} \sqrt{\frac{1}{a b}} \log\left(\frac{a^{2} x^{4} - 2 \, \sqrt{2} \sqrt{a^{2} x^{4} + b^{2}} a b x \sqrt{\frac{1}{a b}} + 2 \, a b x^{2} + b^{2}}{a^{2} x^{4} - 2 \, a b x^{2} + b^{2}}\right), \frac{1}{2} \, \sqrt{2} \sqrt{-\frac{1}{a b}} \arctan\left(\frac{\sqrt{2} \sqrt{a^{2} x^{4} + b^{2}} \sqrt{-\frac{1}{a b}}}{2 \, x}\right)\right]"," ",0,"[1/4*sqrt(2)*sqrt(1/(a*b))*log((a^2*x^4 - 2*sqrt(2)*sqrt(a^2*x^4 + b^2)*a*b*x*sqrt(1/(a*b)) + 2*a*b*x^2 + b^2)/(a^2*x^4 - 2*a*b*x^2 + b^2)), 1/2*sqrt(2)*sqrt(-1/(a*b))*arctan(1/2*sqrt(2)*sqrt(a^2*x^4 + b^2)*sqrt(-1/(a*b))/x)]","A",0
1934,1,444,0,4.155424," ","integrate((x^2+1)*(1+(x^2+1)^(1/2))^(1/2)/(x^2-1),x, algorithm=""fricas"")","-\frac{12 \, x \sqrt{\sqrt{2} - 1} \arctan\left(\frac{{\left(51 \, x^{5} - 222 \, x^{3} - 2 \, \sqrt{2} {\left(5 \, x^{5} - 163 \, x^{3} - 46 \, x\right)} + 2 \, {\left(31 \, x^{3} + \sqrt{2} {\left(41 \, x^{3} - 81 \, x\right)} + 173 \, x\right)} \sqrt{x^{2} + 1} + 11 \, x\right)} \sqrt{3821 \, \sqrt{2} + 4841} \sqrt{\sqrt{2} - 1} + 4802 \, {\left(x^{4} + \sqrt{2} {\left(x^{4} - 3 \, x^{2} - 2\right)} + {\left(3 \, x^{2} + 2 \, \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{x^{2} + 1} - 1\right)} \sqrt{\sqrt{2} - 1} \sqrt{\sqrt{x^{2} + 1} + 1}}{2401 \, {\left(x^{5} - 10 \, x^{3} - 7 \, x\right)}}\right) + 3 \, x \sqrt{\sqrt{2} + 1} \log\left(-\frac{2 \, {\left({\left(71 \, x^{3} - \sqrt{2} {\left(61 \, x^{3} + 325 \, x\right)} + 2 \, \sqrt{x^{2} + 1} {\left(132 \, \sqrt{2} x - 193 \, x\right)} + 457 \, x\right)} \sqrt{\sqrt{2} + 1} + 2 \, {\left(71 \, x^{2} - \sqrt{2} {\left(61 \, x^{2} + 132\right)} + \sqrt{x^{2} + 1} {\left(132 \, \sqrt{2} - 193\right)} + 193\right)} \sqrt{\sqrt{x^{2} + 1} + 1}\right)}}{x^{3} - x}\right) - 3 \, x \sqrt{\sqrt{2} + 1} \log\left(\frac{2 \, {\left({\left(71 \, x^{3} - \sqrt{2} {\left(61 \, x^{3} + 325 \, x\right)} + 2 \, \sqrt{x^{2} + 1} {\left(132 \, \sqrt{2} x - 193 \, x\right)} + 457 \, x\right)} \sqrt{\sqrt{2} + 1} - 2 \, {\left(71 \, x^{2} - \sqrt{2} {\left(61 \, x^{2} + 132\right)} + \sqrt{x^{2} + 1} {\left(132 \, \sqrt{2} - 193\right)} + 193\right)} \sqrt{\sqrt{x^{2} + 1} + 1}\right)}}{x^{3} - x}\right) - 4 \, {\left(x^{2} + \sqrt{x^{2} + 1} - 1\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{6 \, x}"," ",0,"-1/6*(12*x*sqrt(sqrt(2) - 1)*arctan(1/2401*((51*x^5 - 222*x^3 - 2*sqrt(2)*(5*x^5 - 163*x^3 - 46*x) + 2*(31*x^3 + sqrt(2)*(41*x^3 - 81*x) + 173*x)*sqrt(x^2 + 1) + 11*x)*sqrt(3821*sqrt(2) + 4841)*sqrt(sqrt(2) - 1) + 4802*(x^4 + sqrt(2)*(x^4 - 3*x^2 - 2) + (3*x^2 + 2*sqrt(2)*(x^2 + 1) + 1)*sqrt(x^2 + 1) - 1)*sqrt(sqrt(2) - 1)*sqrt(sqrt(x^2 + 1) + 1))/(x^5 - 10*x^3 - 7*x)) + 3*x*sqrt(sqrt(2) + 1)*log(-2*((71*x^3 - sqrt(2)*(61*x^3 + 325*x) + 2*sqrt(x^2 + 1)*(132*sqrt(2)*x - 193*x) + 457*x)*sqrt(sqrt(2) + 1) + 2*(71*x^2 - sqrt(2)*(61*x^2 + 132) + sqrt(x^2 + 1)*(132*sqrt(2) - 193) + 193)*sqrt(sqrt(x^2 + 1) + 1))/(x^3 - x)) - 3*x*sqrt(sqrt(2) + 1)*log(2*((71*x^3 - sqrt(2)*(61*x^3 + 325*x) + 2*sqrt(x^2 + 1)*(132*sqrt(2)*x - 193*x) + 457*x)*sqrt(sqrt(2) + 1) - 2*(71*x^2 - sqrt(2)*(61*x^2 + 132) + sqrt(x^2 + 1)*(132*sqrt(2) - 193) + 193)*sqrt(sqrt(x^2 + 1) + 1))/(x^3 - x)) - 4*(x^2 + sqrt(x^2 + 1) - 1)*sqrt(sqrt(x^2 + 1) + 1))/x","B",0
1935,1,350,0,0.472011," ","integrate(1/(a*x^3-b)^(1/3),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{\frac{1}{3}} a \sqrt{\frac{\left(-a\right)^{\frac{1}{3}}}{a}} \log\left(-3 \, a x^{3} + 3 \, {\left(a x^{3} - b\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{2}{3}} x^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(\left(-a\right)^{\frac{1}{3}} a x^{3} - {\left(a x^{3} - b\right)}^{\frac{1}{3}} a x^{2} + 2 \, {\left(a x^{3} - b\right)}^{\frac{2}{3}} \left(-a\right)^{\frac{2}{3}} x\right)} \sqrt{\frac{\left(-a\right)^{\frac{1}{3}}}{a}} + 2 \, b\right) - 2 \, \left(-a\right)^{\frac{2}{3}} \log\left(\frac{\left(-a\right)^{\frac{1}{3}} x + {\left(a x^{3} - b\right)}^{\frac{1}{3}}}{x}\right) + \left(-a\right)^{\frac{2}{3}} \log\left(\frac{\left(-a\right)^{\frac{2}{3}} x^{2} - {\left(a x^{3} - b\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{1}{3}} x + {\left(a x^{3} - b\right)}^{\frac{2}{3}}}{x^{2}}\right)}{6 \, a}, -\frac{6 \, \sqrt{\frac{1}{3}} a \sqrt{-\frac{\left(-a\right)^{\frac{1}{3}}}{a}} \arctan\left(-\frac{\sqrt{\frac{1}{3}} {\left(\left(-a\right)^{\frac{1}{3}} x - 2 \, {\left(a x^{3} - b\right)}^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a\right)^{\frac{1}{3}}}{a}}}{x}\right) + 2 \, \left(-a\right)^{\frac{2}{3}} \log\left(\frac{\left(-a\right)^{\frac{1}{3}} x + {\left(a x^{3} - b\right)}^{\frac{1}{3}}}{x}\right) - \left(-a\right)^{\frac{2}{3}} \log\left(\frac{\left(-a\right)^{\frac{2}{3}} x^{2} - {\left(a x^{3} - b\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{1}{3}} x + {\left(a x^{3} - b\right)}^{\frac{2}{3}}}{x^{2}}\right)}{6 \, a}\right]"," ",0,"[1/6*(3*sqrt(1/3)*a*sqrt((-a)^(1/3)/a)*log(-3*a*x^3 + 3*(a*x^3 - b)^(1/3)*(-a)^(2/3)*x^2 + 3*sqrt(1/3)*((-a)^(1/3)*a*x^3 - (a*x^3 - b)^(1/3)*a*x^2 + 2*(a*x^3 - b)^(2/3)*(-a)^(2/3)*x)*sqrt((-a)^(1/3)/a) + 2*b) - 2*(-a)^(2/3)*log(((-a)^(1/3)*x + (a*x^3 - b)^(1/3))/x) + (-a)^(2/3)*log(((-a)^(2/3)*x^2 - (a*x^3 - b)^(1/3)*(-a)^(1/3)*x + (a*x^3 - b)^(2/3))/x^2))/a, -1/6*(6*sqrt(1/3)*a*sqrt(-(-a)^(1/3)/a)*arctan(-sqrt(1/3)*((-a)^(1/3)*x - 2*(a*x^3 - b)^(1/3))*sqrt(-(-a)^(1/3)/a)/x) + 2*(-a)^(2/3)*log(((-a)^(1/3)*x + (a*x^3 - b)^(1/3))/x) - (-a)^(2/3)*log(((-a)^(2/3)*x^2 - (a*x^3 - b)^(1/3)*(-a)^(1/3)*x + (a*x^3 - b)^(2/3))/x^2))/a]","A",0
1936,-1,0,0,0.000000," ","integrate((a^2-2*a*x+x^2)*(-a*b-a*c+3*b*c+2*(a-b-c)*x+x^2)/((-a+x)*(-b+x)*(-c+x))^(3/4)/(-b*c-a^3*d+(3*a^2*d+b+c)*x-(3*a*d+1)*x^2+d*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1937,1,809,0,91.548375," ","integrate((x^5-4)*(x^5-2*x^4+1)^(1/4)/x^2/(x^5+1),x, algorithm=""fricas"")","-\frac{4 \cdot 2^{\frac{3}{4}} x \arctan\left(-\frac{2 \, x^{10} + 4 \, x^{5} + 4 \cdot 2^{\frac{3}{4}} {\left(x^{6} - 8 \, x^{5} + x\right)} {\left(x^{5} - 2 \, x^{4} + 1\right)}^{\frac{3}{4}} + 8 \, \sqrt{2} {\left(x^{7} + x^{2}\right)} \sqrt{x^{5} - 2 \, x^{4} + 1} - \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{5} - 2 \, x^{4} + 1\right)}^{\frac{3}{4}} x^{5} + 2^{\frac{3}{4}} {\left(x^{10} - 20 \, x^{9} + 32 \, x^{8} + 2 \, x^{5} - 20 \, x^{4} + 1\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{7} - 8 \, x^{6} + x^{2}\right)} \sqrt{x^{5} - 2 \, x^{4} + 1} + 8 \, {\left(x^{8} + x^{3}\right)} {\left(x^{5} - 2 \, x^{4} + 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{5} - 2 \, x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 8 \, \sqrt{x^{5} - 2 \, x^{4} + 1} x^{2} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} - 2 \, x^{4} + 1\right)}^{\frac{3}{4}} x + \sqrt{2} {\left(x^{5} + 1\right)}}{x^{5} + 1}} + 8 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{8} - 8 \, x^{7} + 3 \, x^{3}\right)} {\left(x^{5} - 2 \, x^{4} + 1\right)}^{\frac{1}{4}} + 2}{2 \, {\left(x^{10} - 32 \, x^{9} + 64 \, x^{8} + 2 \, x^{5} - 32 \, x^{4} + 1\right)}}\right) - 4 \cdot 2^{\frac{3}{4}} x \arctan\left(-\frac{2 \, x^{10} + 4 \, x^{5} - 4 \cdot 2^{\frac{3}{4}} {\left(x^{6} - 8 \, x^{5} + x\right)} {\left(x^{5} - 2 \, x^{4} + 1\right)}^{\frac{3}{4}} + 8 \, \sqrt{2} {\left(x^{7} + x^{2}\right)} \sqrt{x^{5} - 2 \, x^{4} + 1} - \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{5} - 2 \, x^{4} + 1\right)}^{\frac{3}{4}} x^{5} - 2^{\frac{3}{4}} {\left(x^{10} - 20 \, x^{9} + 32 \, x^{8} + 2 \, x^{5} - 20 \, x^{4} + 1\right)} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{7} - 8 \, x^{6} + x^{2}\right)} \sqrt{x^{5} - 2 \, x^{4} + 1} + 8 \, {\left(x^{8} + x^{3}\right)} {\left(x^{5} - 2 \, x^{4} + 1\right)}^{\frac{1}{4}}\right)} \sqrt{-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{5} - 2 \, x^{4} + 1\right)}^{\frac{1}{4}} x^{3} - 8 \, \sqrt{x^{5} - 2 \, x^{4} + 1} x^{2} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} - 2 \, x^{4} + 1\right)}^{\frac{3}{4}} x - \sqrt{2} {\left(x^{5} + 1\right)}}{x^{5} + 1}} - 8 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{8} - 8 \, x^{7} + 3 \, x^{3}\right)} {\left(x^{5} - 2 \, x^{4} + 1\right)}^{\frac{1}{4}} + 2}{2 \, {\left(x^{10} - 32 \, x^{9} + 64 \, x^{8} + 2 \, x^{5} - 32 \, x^{4} + 1\right)}}\right) + 2^{\frac{3}{4}} x \log\left(\frac{2 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{5} - 2 \, x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 8 \, \sqrt{x^{5} - 2 \, x^{4} + 1} x^{2} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} - 2 \, x^{4} + 1\right)}^{\frac{3}{4}} x + \sqrt{2} {\left(x^{5} + 1\right)}\right)}}{x^{5} + 1}\right) - 2^{\frac{3}{4}} x \log\left(-\frac{2 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{5} - 2 \, x^{4} + 1\right)}^{\frac{1}{4}} x^{3} - 8 \, \sqrt{x^{5} - 2 \, x^{4} + 1} x^{2} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} - 2 \, x^{4} + 1\right)}^{\frac{3}{4}} x - \sqrt{2} {\left(x^{5} + 1\right)}\right)}}{x^{5} + 1}\right) - 16 \, {\left(x^{5} - 2 \, x^{4} + 1\right)}^{\frac{1}{4}}}{4 \, x}"," ",0,"-1/4*(4*2^(3/4)*x*arctan(-1/2*(2*x^10 + 4*x^5 + 4*2^(3/4)*(x^6 - 8*x^5 + x)*(x^5 - 2*x^4 + 1)^(3/4) + 8*sqrt(2)*(x^7 + x^2)*sqrt(x^5 - 2*x^4 + 1) - sqrt(2)*(32*sqrt(2)*(x^5 - 2*x^4 + 1)^(3/4)*x^5 + 2^(3/4)*(x^10 - 20*x^9 + 32*x^8 + 2*x^5 - 20*x^4 + 1) + 4*2^(1/4)*(x^7 - 8*x^6 + x^2)*sqrt(x^5 - 2*x^4 + 1) + 8*(x^8 + x^3)*(x^5 - 2*x^4 + 1)^(1/4))*sqrt((4*2^(3/4)*(x^5 - 2*x^4 + 1)^(1/4)*x^3 + 8*sqrt(x^5 - 2*x^4 + 1)*x^2 + 4*2^(1/4)*(x^5 - 2*x^4 + 1)^(3/4)*x + sqrt(2)*(x^5 + 1))/(x^5 + 1)) + 8*2^(1/4)*(3*x^8 - 8*x^7 + 3*x^3)*(x^5 - 2*x^4 + 1)^(1/4) + 2)/(x^10 - 32*x^9 + 64*x^8 + 2*x^5 - 32*x^4 + 1)) - 4*2^(3/4)*x*arctan(-1/2*(2*x^10 + 4*x^5 - 4*2^(3/4)*(x^6 - 8*x^5 + x)*(x^5 - 2*x^4 + 1)^(3/4) + 8*sqrt(2)*(x^7 + x^2)*sqrt(x^5 - 2*x^4 + 1) - sqrt(2)*(32*sqrt(2)*(x^5 - 2*x^4 + 1)^(3/4)*x^5 - 2^(3/4)*(x^10 - 20*x^9 + 32*x^8 + 2*x^5 - 20*x^4 + 1) - 4*2^(1/4)*(x^7 - 8*x^6 + x^2)*sqrt(x^5 - 2*x^4 + 1) + 8*(x^8 + x^3)*(x^5 - 2*x^4 + 1)^(1/4))*sqrt(-(4*2^(3/4)*(x^5 - 2*x^4 + 1)^(1/4)*x^3 - 8*sqrt(x^5 - 2*x^4 + 1)*x^2 + 4*2^(1/4)*(x^5 - 2*x^4 + 1)^(3/4)*x - sqrt(2)*(x^5 + 1))/(x^5 + 1)) - 8*2^(1/4)*(3*x^8 - 8*x^7 + 3*x^3)*(x^5 - 2*x^4 + 1)^(1/4) + 2)/(x^10 - 32*x^9 + 64*x^8 + 2*x^5 - 32*x^4 + 1)) + 2^(3/4)*x*log(2*(4*2^(3/4)*(x^5 - 2*x^4 + 1)^(1/4)*x^3 + 8*sqrt(x^5 - 2*x^4 + 1)*x^2 + 4*2^(1/4)*(x^5 - 2*x^4 + 1)^(3/4)*x + sqrt(2)*(x^5 + 1))/(x^5 + 1)) - 2^(3/4)*x*log(-2*(4*2^(3/4)*(x^5 - 2*x^4 + 1)^(1/4)*x^3 - 8*sqrt(x^5 - 2*x^4 + 1)*x^2 + 4*2^(1/4)*(x^5 - 2*x^4 + 1)^(3/4)*x - sqrt(2)*(x^5 + 1))/(x^5 + 1)) - 16*(x^5 - 2*x^4 + 1)^(1/4))/x","B",0
1938,1,118,0,1.363581," ","integrate((a*x^6+b)/x^6/(x^3+x)^(1/3),x, algorithm=""fricas"")","\frac{40 \, \sqrt{3} a x^{6} \arctan\left(-\frac{196 \, \sqrt{3} {\left(x^{3} + x\right)}^{\frac{1}{3}} x - \sqrt{3} {\left(539 \, x^{2} + 507\right)} - 1274 \, \sqrt{3} {\left(x^{3} + x\right)}^{\frac{2}{3}}}{2205 \, x^{2} + 2197}\right) - 20 \, a x^{6} \log\left(3 \, {\left(x^{3} + x\right)}^{\frac{1}{3}} x - 3 \, {\left(x^{3} + x\right)}^{\frac{2}{3}} + 1\right) - 3 \, {\left(9 \, b x^{4} - 6 \, b x^{2} + 5 \, b\right)} {\left(x^{3} + x\right)}^{\frac{2}{3}}}{80 \, x^{6}}"," ",0,"1/80*(40*sqrt(3)*a*x^6*arctan(-(196*sqrt(3)*(x^3 + x)^(1/3)*x - sqrt(3)*(539*x^2 + 507) - 1274*sqrt(3)*(x^3 + x)^(2/3))/(2205*x^2 + 2197)) - 20*a*x^6*log(3*(x^3 + x)^(1/3)*x - 3*(x^3 + x)^(2/3) + 1) - 3*(9*b*x^4 - 6*b*x^2 + 5*b)*(x^3 + x)^(2/3))/x^6","A",0
1939,1,83,0,0.572957," ","integrate((a^2*x^2+b^2)/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(5 \, a^{4} x^{4} + 12 \, a^{2} b^{2} x^{2} - 9 \, b^{4} - {\left(5 \, a^{3} x^{3} + 13 \, a b^{2} x\right)} \sqrt{a^{2} x^{2} + b^{2}}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}{35 \, a b^{2}}"," ",0,"-2/35*(5*a^4*x^4 + 12*a^2*b^2*x^2 - 9*b^4 - (5*a^3*x^3 + 13*a*b^2*x)*sqrt(a^2*x^2 + b^2))*sqrt(a*x + sqrt(a^2*x^2 + b^2))/(a*b^2)","A",0
1940,1,207,0,0.591337," ","integrate(x^2/(a*x^2+b)^(3/4)/(a*x^2+2*b),x, algorithm=""fricas"")","-2 \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(-\frac{1}{a^{6} b}\right)^{\frac{1}{4}} \arctan\left(\frac{4 \, {\left(\sqrt{\frac{1}{2}} \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{4} b x \sqrt{\frac{a^{4} x^{2} \sqrt{-\frac{1}{a^{6} b}} + 2 \, \sqrt{a x^{2} + b}}{x^{2}}} \left(-\frac{1}{a^{6} b}\right)^{\frac{3}{4}} - \left(\frac{1}{4}\right)^{\frac{3}{4}} {\left(a x^{2} + b\right)}^{\frac{1}{4}} a^{4} b \left(-\frac{1}{a^{6} b}\right)^{\frac{3}{4}}\right)}}{x}\right) - \frac{1}{2} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(-\frac{1}{a^{6} b}\right)^{\frac{1}{4}} \log\left(\frac{\left(\frac{1}{4}\right)^{\frac{1}{4}} a^{2} x \left(-\frac{1}{a^{6} b}\right)^{\frac{1}{4}} + {\left(a x^{2} + b\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(-\frac{1}{a^{6} b}\right)^{\frac{1}{4}} \log\left(-\frac{\left(\frac{1}{4}\right)^{\frac{1}{4}} a^{2} x \left(-\frac{1}{a^{6} b}\right)^{\frac{1}{4}} - {\left(a x^{2} + b\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-2*(1/4)^(1/4)*(-1/(a^6*b))^(1/4)*arctan(4*(sqrt(1/2)*(1/4)^(3/4)*a^4*b*x*sqrt((a^4*x^2*sqrt(-1/(a^6*b)) + 2*sqrt(a*x^2 + b))/x^2)*(-1/(a^6*b))^(3/4) - (1/4)^(3/4)*(a*x^2 + b)^(1/4)*a^4*b*(-1/(a^6*b))^(3/4))/x) - 1/2*(1/4)^(1/4)*(-1/(a^6*b))^(1/4)*log(((1/4)^(1/4)*a^2*x*(-1/(a^6*b))^(1/4) + (a*x^2 + b)^(1/4))/x) + 1/2*(1/4)^(1/4)*(-1/(a^6*b))^(1/4)*log(-((1/4)^(1/4)*a^2*x*(-1/(a^6*b))^(1/4) - (a*x^2 + b)^(1/4))/x)","B",0
1941,1,181,0,0.559128," ","integrate(x/(a*x^3-b)^(2/3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} a \sqrt{-\left(-a^{2}\right)^{\frac{1}{3}}} \arctan\left(-\frac{{\left(\sqrt{3} \left(-a^{2}\right)^{\frac{1}{3}} a x - 2 \, \sqrt{3} {\left(a x^{3} - b\right)}^{\frac{1}{3}} \left(-a^{2}\right)^{\frac{2}{3}}\right)} \sqrt{-\left(-a^{2}\right)^{\frac{1}{3}}}}{3 \, a^{2} x}\right) - 2 \, \left(-a^{2}\right)^{\frac{2}{3}} \log\left(-\frac{\left(-a^{2}\right)^{\frac{2}{3}} x - {\left(a x^{3} - b\right)}^{\frac{1}{3}} a}{x}\right) + \left(-a^{2}\right)^{\frac{2}{3}} \log\left(-\frac{\left(-a^{2}\right)^{\frac{1}{3}} a x^{2} - {\left(a x^{3} - b\right)}^{\frac{1}{3}} \left(-a^{2}\right)^{\frac{2}{3}} x - {\left(a x^{3} - b\right)}^{\frac{2}{3}} a}{x^{2}}\right)}{6 \, a^{2}}"," ",0,"1/6*(2*sqrt(3)*a*sqrt(-(-a^2)^(1/3))*arctan(-1/3*(sqrt(3)*(-a^2)^(1/3)*a*x - 2*sqrt(3)*(a*x^3 - b)^(1/3)*(-a^2)^(2/3))*sqrt(-(-a^2)^(1/3))/(a^2*x)) - 2*(-a^2)^(2/3)*log(-((-a^2)^(2/3)*x - (a*x^3 - b)^(1/3)*a)/x) + (-a^2)^(2/3)*log(-((-a^2)^(1/3)*a*x^2 - (a*x^3 - b)^(1/3)*(-a^2)^(2/3)*x - (a*x^3 - b)^(2/3)*a)/x^2))/a^2","A",0
1942,1,128,0,0.497587," ","integrate(x*(x^4+x^2)^(1/3)/(2*x^2+1),x, algorithm=""fricas"")","\frac{1}{16} \cdot 4^{\frac{1}{6}} \sqrt{3} \left(-1\right)^{\frac{1}{3}} \arctan\left(\frac{1}{6} \cdot 4^{\frac{1}{6}} \sqrt{3} {\left(2 \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} - 4^{\frac{1}{3}}\right)}\right) - \frac{1}{64} \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} + 4^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} + 4 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}}\right) + \frac{1}{32} \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(-4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} + 4 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}}\right) + \frac{3}{8} \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}}"," ",0,"1/16*4^(1/6)*sqrt(3)*(-1)^(1/3)*arctan(1/6*4^(1/6)*sqrt(3)*(2*4^(2/3)*(-1)^(2/3)*(x^4 + x^2)^(1/3) - 4^(1/3))) - 1/64*4^(2/3)*(-1)^(1/3)*log(4^(2/3)*(-1)^(1/3)*(x^4 + x^2)^(1/3) + 4^(1/3)*(-1)^(2/3) + 4*(x^4 + x^2)^(2/3)) + 1/32*4^(2/3)*(-1)^(1/3)*log(-4^(2/3)*(-1)^(1/3) + 4*(x^4 + x^2)^(1/3)) + 3/8*(x^4 + x^2)^(1/3)","A",0
1943,1,511,0,152.937534," ","integrate((a*x^3+b)/x^6/(a*x^3-b)/(a*x^4+b*x)^(1/4),x, algorithm=""fricas"")","\frac{84 \cdot 8^{\frac{1}{4}} b^{2} x^{6} \left(\frac{a^{7}}{b^{8}}\right)^{\frac{1}{4}} \arctan\left(\frac{16 \cdot 8^{\frac{1}{4}} {\left(a x^{4} + b x\right)}^{\frac{1}{4}} a^{9} b^{2} x^{2} \left(\frac{a^{7}}{b^{8}}\right)^{\frac{1}{4}} + 4 \cdot 8^{\frac{3}{4}} {\left(a x^{4} + b x\right)}^{\frac{3}{4}} a^{5} b^{6} \left(\frac{a^{7}}{b^{8}}\right)^{\frac{3}{4}} + \sqrt{2} \sqrt{\sqrt{2} a^{6} b^{4} \sqrt{\frac{a^{7}}{b^{8}}}} {\left(8 \cdot 8^{\frac{1}{4}} \sqrt{a x^{4} + b x} a^{4} b^{2} x \left(\frac{a^{7}}{b^{8}}\right)^{\frac{1}{4}} + 8^{\frac{3}{4}} {\left(3 \, a b^{6} x^{3} + b^{7}\right)} \left(\frac{a^{7}}{b^{8}}\right)^{\frac{3}{4}}\right)}}{8 \, {\left(a^{11} x^{3} - a^{10} b\right)}}\right) - 21 \cdot 8^{\frac{1}{4}} b^{2} x^{6} \left(\frac{a^{7}}{b^{8}}\right)^{\frac{1}{4}} \log\left(\frac{4 \, \sqrt{2} {\left(a x^{4} + b x\right)}^{\frac{1}{4}} a^{2} b^{4} x^{2} \sqrt{\frac{a^{7}}{b^{8}}} + 8^{\frac{3}{4}} \sqrt{a x^{4} + b x} b^{6} x \left(\frac{a^{7}}{b^{8}}\right)^{\frac{3}{4}} + 4 \, {\left(a x^{4} + b x\right)}^{\frac{3}{4}} a^{5} + 8^{\frac{1}{4}} {\left(3 \, a^{4} b^{2} x^{3} + a^{3} b^{3}\right)} \left(\frac{a^{7}}{b^{8}}\right)^{\frac{1}{4}}}{a x^{3} - b}\right) + 21 \cdot 8^{\frac{1}{4}} b^{2} x^{6} \left(\frac{a^{7}}{b^{8}}\right)^{\frac{1}{4}} \log\left(\frac{4 \, \sqrt{2} {\left(a x^{4} + b x\right)}^{\frac{1}{4}} a^{2} b^{4} x^{2} \sqrt{\frac{a^{7}}{b^{8}}} - 8^{\frac{3}{4}} \sqrt{a x^{4} + b x} b^{6} x \left(\frac{a^{7}}{b^{8}}\right)^{\frac{3}{4}} + 4 \, {\left(a x^{4} + b x\right)}^{\frac{3}{4}} a^{5} - 8^{\frac{1}{4}} {\left(3 \, a^{4} b^{2} x^{3} + a^{3} b^{3}\right)} \left(\frac{a^{7}}{b^{8}}\right)^{\frac{1}{4}}}{a x^{3} - b}\right) + 8 \, {\left(a x^{4} + b x\right)}^{\frac{3}{4}} {\left(10 \, a x^{3} + 3 \, b\right)}}{126 \, b^{2} x^{6}}"," ",0,"1/126*(84*8^(1/4)*b^2*x^6*(a^7/b^8)^(1/4)*arctan(1/8*(16*8^(1/4)*(a*x^4 + b*x)^(1/4)*a^9*b^2*x^2*(a^7/b^8)^(1/4) + 4*8^(3/4)*(a*x^4 + b*x)^(3/4)*a^5*b^6*(a^7/b^8)^(3/4) + sqrt(2)*sqrt(sqrt(2)*a^6*b^4*sqrt(a^7/b^8))*(8*8^(1/4)*sqrt(a*x^4 + b*x)*a^4*b^2*x*(a^7/b^8)^(1/4) + 8^(3/4)*(3*a*b^6*x^3 + b^7)*(a^7/b^8)^(3/4)))/(a^11*x^3 - a^10*b)) - 21*8^(1/4)*b^2*x^6*(a^7/b^8)^(1/4)*log((4*sqrt(2)*(a*x^4 + b*x)^(1/4)*a^2*b^4*x^2*sqrt(a^7/b^8) + 8^(3/4)*sqrt(a*x^4 + b*x)*b^6*x*(a^7/b^8)^(3/4) + 4*(a*x^4 + b*x)^(3/4)*a^5 + 8^(1/4)*(3*a^4*b^2*x^3 + a^3*b^3)*(a^7/b^8)^(1/4))/(a*x^3 - b)) + 21*8^(1/4)*b^2*x^6*(a^7/b^8)^(1/4)*log((4*sqrt(2)*(a*x^4 + b*x)^(1/4)*a^2*b^4*x^2*sqrt(a^7/b^8) - 8^(3/4)*sqrt(a*x^4 + b*x)*b^6*x*(a^7/b^8)^(3/4) + 4*(a*x^4 + b*x)^(3/4)*a^5 - 8^(1/4)*(3*a^4*b^2*x^3 + a^3*b^3)*(a^7/b^8)^(1/4))/(a*x^3 - b)) + 8*(a*x^4 + b*x)^(3/4)*(10*a*x^3 + 3*b))/(b^2*x^6)","B",0
1944,1,780,0,12.778055," ","integrate((x^4-1)*(x^6+x^2)^(1/4)/(x^8+x^4+1),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{x^{9} + 2 \, x^{7} + 3 \, x^{5} + 2 \, x^{3} + 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 3 \, x^{2} + 1\right)} + 2 \, \sqrt{2} {\left(3 \, x^{6} - x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{6} + x^{2}} {\left(x^{5} + x^{3} + x\right)} + {\left(16 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} + 2 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 3 \, x^{3} + x\right)} + \sqrt{2} {\left(x^{9} - 8 \, x^{7} + x^{5} - 8 \, x^{3} + x\right)} + 4 \, {\left(x^{6} + x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{5} + x^{3} + 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{x^{6} + x^{2}} x + 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x}{x^{5} + x^{3} + x}} + x}{x^{9} - 14 \, x^{7} + 3 \, x^{5} - 14 \, x^{3} + x}\right) + \frac{1}{4} \, \sqrt{2} \arctan\left(\frac{x^{9} + 2 \, x^{7} + 3 \, x^{5} + 2 \, x^{3} - 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 3 \, x^{2} + 1\right)} - 2 \, \sqrt{2} {\left(3 \, x^{6} - x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{6} + x^{2}} {\left(x^{5} + x^{3} + x\right)} + {\left(16 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} - 2 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 3 \, x^{3} + x\right)} - \sqrt{2} {\left(x^{9} - 8 \, x^{7} + x^{5} - 8 \, x^{3} + x\right)} + 4 \, {\left(x^{6} + x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{5} + x^{3} - 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{x^{6} + x^{2}} x - 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x}{x^{5} + x^{3} + x}} + x}{x^{9} - 14 \, x^{7} + 3 \, x^{5} - 14 \, x^{3} + x}\right) + \frac{1}{16} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{5} + x^{3} + 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{x^{6} + x^{2}} x + 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x\right)}}{x^{5} + x^{3} + x}\right) - \frac{1}{16} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{5} + x^{3} - 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{x^{6} + x^{2}} x - 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x\right)}}{x^{5} + x^{3} + x}\right) + \frac{1}{4} \, \arctan\left(\frac{2 \, {\left({\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x^{5} - x^{3} + x}\right) + \frac{1}{4} \, \log\left(-\frac{x^{5} + x^{3} - 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \, \sqrt{x^{6} + x^{2}} x + x - 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - x^{3} + x}\right)"," ",0,"-1/4*sqrt(2)*arctan((x^9 + 2*x^7 + 3*x^5 + 2*x^3 + 2*sqrt(2)*(x^6 + x^2)^(3/4)*(x^4 - 3*x^2 + 1) + 2*sqrt(2)*(3*x^6 - x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 4*sqrt(x^6 + x^2)*(x^5 + x^3 + x) + (16*(x^6 + x^2)^(3/4)*x^2 + 2*sqrt(2)*sqrt(x^6 + x^2)*(x^5 - 3*x^3 + x) + sqrt(2)*(x^9 - 8*x^7 + x^5 - 8*x^3 + x) + 4*(x^6 + x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt((x^5 + x^3 + 2*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(x^6 + x^2)*x + 2*sqrt(2)*(x^6 + x^2)^(3/4) + x)/(x^5 + x^3 + x)) + x)/(x^9 - 14*x^7 + 3*x^5 - 14*x^3 + x)) + 1/4*sqrt(2)*arctan((x^9 + 2*x^7 + 3*x^5 + 2*x^3 - 2*sqrt(2)*(x^6 + x^2)^(3/4)*(x^4 - 3*x^2 + 1) - 2*sqrt(2)*(3*x^6 - x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 4*sqrt(x^6 + x^2)*(x^5 + x^3 + x) + (16*(x^6 + x^2)^(3/4)*x^2 - 2*sqrt(2)*sqrt(x^6 + x^2)*(x^5 - 3*x^3 + x) - sqrt(2)*(x^9 - 8*x^7 + x^5 - 8*x^3 + x) + 4*(x^6 + x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt((x^5 + x^3 - 2*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(x^6 + x^2)*x - 2*sqrt(2)*(x^6 + x^2)^(3/4) + x)/(x^5 + x^3 + x)) + x)/(x^9 - 14*x^7 + 3*x^5 - 14*x^3 + x)) + 1/16*sqrt(2)*log(4*(x^5 + x^3 + 2*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(x^6 + x^2)*x + 2*sqrt(2)*(x^6 + x^2)^(3/4) + x)/(x^5 + x^3 + x)) - 1/16*sqrt(2)*log(4*(x^5 + x^3 - 2*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(x^6 + x^2)*x - 2*sqrt(2)*(x^6 + x^2)^(3/4) + x)/(x^5 + x^3 + x)) + 1/4*arctan(2*((x^6 + x^2)^(1/4)*x^2 + (x^6 + x^2)^(3/4))/(x^5 - x^3 + x)) + 1/4*log(-(x^5 + x^3 - 2*(x^6 + x^2)^(1/4)*x^2 + 2*sqrt(x^6 + x^2)*x + x - 2*(x^6 + x^2)^(3/4))/(x^5 - x^3 + x))","B",0
1945,1,780,0,12.587448," ","integrate((x^4-1)*(x^6+x^2)^(1/4)/(x^8+x^4+1),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{x^{9} + 2 \, x^{7} + 3 \, x^{5} + 2 \, x^{3} + 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 3 \, x^{2} + 1\right)} + 2 \, \sqrt{2} {\left(3 \, x^{6} - x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{6} + x^{2}} {\left(x^{5} + x^{3} + x\right)} + {\left(16 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} + 2 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 3 \, x^{3} + x\right)} + \sqrt{2} {\left(x^{9} - 8 \, x^{7} + x^{5} - 8 \, x^{3} + x\right)} + 4 \, {\left(x^{6} + x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{5} + x^{3} + 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{x^{6} + x^{2}} x + 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x}{x^{5} + x^{3} + x}} + x}{x^{9} - 14 \, x^{7} + 3 \, x^{5} - 14 \, x^{3} + x}\right) + \frac{1}{4} \, \sqrt{2} \arctan\left(\frac{x^{9} + 2 \, x^{7} + 3 \, x^{5} + 2 \, x^{3} - 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 3 \, x^{2} + 1\right)} - 2 \, \sqrt{2} {\left(3 \, x^{6} - x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 4 \, \sqrt{x^{6} + x^{2}} {\left(x^{5} + x^{3} + x\right)} + {\left(16 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} - 2 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 3 \, x^{3} + x\right)} - \sqrt{2} {\left(x^{9} - 8 \, x^{7} + x^{5} - 8 \, x^{3} + x\right)} + 4 \, {\left(x^{6} + x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{5} + x^{3} - 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{x^{6} + x^{2}} x - 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x}{x^{5} + x^{3} + x}} + x}{x^{9} - 14 \, x^{7} + 3 \, x^{5} - 14 \, x^{3} + x}\right) + \frac{1}{16} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{5} + x^{3} + 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{x^{6} + x^{2}} x + 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x\right)}}{x^{5} + x^{3} + x}\right) - \frac{1}{16} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{5} + x^{3} - 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{x^{6} + x^{2}} x - 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x\right)}}{x^{5} + x^{3} + x}\right) + \frac{1}{4} \, \arctan\left(\frac{2 \, {\left({\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x^{5} - x^{3} + x}\right) + \frac{1}{4} \, \log\left(-\frac{x^{5} + x^{3} - 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \, \sqrt{x^{6} + x^{2}} x + x - 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - x^{3} + x}\right)"," ",0,"-1/4*sqrt(2)*arctan((x^9 + 2*x^7 + 3*x^5 + 2*x^3 + 2*sqrt(2)*(x^6 + x^2)^(3/4)*(x^4 - 3*x^2 + 1) + 2*sqrt(2)*(3*x^6 - x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 4*sqrt(x^6 + x^2)*(x^5 + x^3 + x) + (16*(x^6 + x^2)^(3/4)*x^2 + 2*sqrt(2)*sqrt(x^6 + x^2)*(x^5 - 3*x^3 + x) + sqrt(2)*(x^9 - 8*x^7 + x^5 - 8*x^3 + x) + 4*(x^6 + x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt((x^5 + x^3 + 2*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(x^6 + x^2)*x + 2*sqrt(2)*(x^6 + x^2)^(3/4) + x)/(x^5 + x^3 + x)) + x)/(x^9 - 14*x^7 + 3*x^5 - 14*x^3 + x)) + 1/4*sqrt(2)*arctan((x^9 + 2*x^7 + 3*x^5 + 2*x^3 - 2*sqrt(2)*(x^6 + x^2)^(3/4)*(x^4 - 3*x^2 + 1) - 2*sqrt(2)*(3*x^6 - x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 4*sqrt(x^6 + x^2)*(x^5 + x^3 + x) + (16*(x^6 + x^2)^(3/4)*x^2 - 2*sqrt(2)*sqrt(x^6 + x^2)*(x^5 - 3*x^3 + x) - sqrt(2)*(x^9 - 8*x^7 + x^5 - 8*x^3 + x) + 4*(x^6 + x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt((x^5 + x^3 - 2*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(x^6 + x^2)*x - 2*sqrt(2)*(x^6 + x^2)^(3/4) + x)/(x^5 + x^3 + x)) + x)/(x^9 - 14*x^7 + 3*x^5 - 14*x^3 + x)) + 1/16*sqrt(2)*log(4*(x^5 + x^3 + 2*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(x^6 + x^2)*x + 2*sqrt(2)*(x^6 + x^2)^(3/4) + x)/(x^5 + x^3 + x)) - 1/16*sqrt(2)*log(4*(x^5 + x^3 - 2*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(x^6 + x^2)*x - 2*sqrt(2)*(x^6 + x^2)^(3/4) + x)/(x^5 + x^3 + x)) + 1/4*arctan(2*((x^6 + x^2)^(1/4)*x^2 + (x^6 + x^2)^(3/4))/(x^5 - x^3 + x)) + 1/4*log(-(x^5 + x^3 - 2*(x^6 + x^2)^(1/4)*x^2 + 2*sqrt(x^6 + x^2)*x + x - 2*(x^6 + x^2)^(3/4))/(x^5 - x^3 + x))","B",0
1946,-1,0,0,0.000000," ","integrate(x*(a*x+(a*x-b)^(1/2))^(1/2)/(a*x-b)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1947,-1,0,0,0.000000," ","integrate((a*x-1)*(a*x+(a*x-b)^(1/2))^(1/2)/(a*x-b)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1948,1,3496,0,3.076048," ","integrate((x^4-1)/(x^4+1)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{2}{3} \, {\left(x^{2} - \sqrt{x^{2} + 1} x - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}} + 2 \, {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} \arctan\left(\frac{1}{16} \, \sqrt{2} {\left(2 \, \sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 4\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 2\right)} \sqrt{{\left({\left(16 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 2 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 2\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 2 \, \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left({\left(2 \, \sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} - \sqrt{2}\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}\right)} + 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 8 i + 2\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1} + 8 \, x + 8 \, \sqrt{x^{2} + 1}} {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left(2 \, \sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} \sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + \sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 4\right)} \sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}}\right)} {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{3}{4}}\right) + 4 \, {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} \arctan\left(-4 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} + {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 4\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 21\right)} \sqrt{-{\left(2 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} + {\left(16 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - 8 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 2 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 2\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 352 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 88 i + 23\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}} + x + \sqrt{x^{2} + 1}} {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{3}{4}} + 4 \, {\left(\sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 4\right)} \sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 21\right)} \sqrt{x + \sqrt{x^{2} + 1}}\right)} {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{3}{4}}\right) - 2 \, {\left(\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} \arctan\left(\frac{1}{16} \, {\left(\sqrt{2} {\left(2 \, \sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 4\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - 2\right)} \sqrt{{\left({\left(16 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 2 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 2\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - 2 \, \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left({\left(2 \, \sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} - \sqrt{2}\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}\right)} + 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 8 i + 2\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1} + 8 \, x + 8 \, \sqrt{x^{2} + 1}} \sqrt{\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1} - 4 \, {\left(2 \, \sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} \sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 4\right)} \sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - 2 \, \sqrt{x + \sqrt{x^{2} + 1}}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1}\right)} {\left(\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}}\right) - 4 \, {\left(-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} \arctan\left(-4 \, {\left({\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 19\right)} \sqrt{{\left(2 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} - 7 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 320 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 80 i + 53\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}} + x + \sqrt{x^{2} + 1}} \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}} - {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 19\right)} \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}}\right)} {\left(-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}}\right) - \frac{1}{2} \, {\left(\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} \log\left(\frac{1}{2} \, {\left(2 \, {\left(4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + i\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - 2 \, \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left({\left(\sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} - \sqrt{2}\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} + \sqrt{2}\right)} + 24 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 6 i + 1\right)} {\left(\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} + 8 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) + \frac{1}{2} \, {\left(\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} \log\left(-\frac{1}{2} \, {\left(2 \, {\left(4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + i\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - 2 \, \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left({\left(\sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} - \sqrt{2}\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} + \sqrt{2}\right)} + 24 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 6 i + 1\right)} {\left(\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} + 8 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) - \frac{1}{2} \, {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} \log\left(\frac{1}{2} \, {\left(2 \, {\left(4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + i\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 2 \, \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left({\left(\sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} - \sqrt{2}\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} + \sqrt{2}\right)} + 24 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 6 i + 1\right)} {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} + 8 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) + \frac{1}{2} \, {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} \log\left(-\frac{1}{2} \, {\left(2 \, {\left(4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + i\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 2 \, \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left({\left(\sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} - \sqrt{2}\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} + \sqrt{2}\right)} + 24 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 6 i + 1\right)} {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} + 8 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) - {\left(-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} \log\left(2 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} - 3 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 152 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 38 i + 34\right)} {\left(-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} + 8 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) + {\left(-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} \log\left(-2 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} - 3 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 152 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 38 i + 34\right)} {\left(-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} + 8 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) + {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} \log\left(2 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} + 2 \, {\left(4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + i\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 3\right)} {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} + 8 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) - {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} \log\left(-2 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} + 2 \, {\left(4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + i\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 3\right)} {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} + 8 \, \sqrt{x + \sqrt{x^{2} + 1}}\right)"," ",0,"-2/3*(x^2 - sqrt(x^2 + 1)*x - 1)*sqrt(x + sqrt(x^2 + 1)) + 2*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)*arctan(1/16*sqrt(2)*(2*sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + (8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 4)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 2)*sqrt(((16*sqrt(1/16*I - 1/16) + 4*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - (8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 2*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 2)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 2*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*((2*sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) - sqrt(2))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1)) + 32*sqrt(1/16*I - 1/16) + 8*I + 2)*sqrt(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1) + 8*x + 8*sqrt(x^2 + 1))*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(3/4) - 1/4*(2*sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*sqrt(x + sqrt(x^2 + 1))*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + sqrt(x + sqrt(x^2 + 1))*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 4)*sqrt(x + sqrt(x^2 + 1))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 2*sqrt(x + sqrt(x^2 + 1)))*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(3/4)) + 4*(-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(1/4)*arctan(-4*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 + (8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 4)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 176*sqrt(1/16*I - 1/16) + 44*I + 21)*sqrt(-(2*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 + (16*sqrt(1/16*I - 1/16) + 4*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - 8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 2*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 2)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 352*sqrt(1/16*I - 1/16) + 88*I + 23)*sqrt(-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16) + x + sqrt(x^2 + 1))*(-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(3/4) + 4*(sqrt(x + sqrt(x^2 + 1))*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 4)*sqrt(x + sqrt(x^2 + 1))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 176*sqrt(1/16*I - 1/16) + 44*I + 21)*sqrt(x + sqrt(x^2 + 1)))*(-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(3/4)) - 2*(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)*arctan(1/16*(sqrt(2)*(2*sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - (8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 4)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 2)*sqrt(((16*sqrt(1/16*I - 1/16) + 4*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - (8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 2*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 2)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 2*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*((2*sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) - sqrt(2))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1)) + 32*sqrt(1/16*I - 1/16) + 8*I + 2)*sqrt(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1) + 8*x + 8*sqrt(x^2 + 1))*sqrt(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1) - 4*(2*sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*sqrt(x + sqrt(x^2 + 1))*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - sqrt(x + sqrt(x^2 + 1))*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 4)*sqrt(x + sqrt(x^2 + 1))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 2*sqrt(x + sqrt(x^2 + 1)))*sqrt(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1))*(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)) - 4*(-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16)^(1/4)*arctan(-4*(((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 176*sqrt(1/16*I - 1/16) + 44*I + 19)*sqrt((2*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 - 7*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 320*sqrt(1/16*I - 1/16) + 80*I + 53)*sqrt(-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16) + x + sqrt(x^2 + 1))*sqrt(-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16) - ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 176*sqrt(1/16*I - 1/16) + 44*I + 19)*sqrt(x + sqrt(x^2 + 1))*sqrt(-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16))*(-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16)^(1/4)) - 1/2*(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)*log(1/2*(2*(4*sqrt(1/16*I - 1/16) + I)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - (8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 2*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*((sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) - sqrt(2))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) + sqrt(2)) + 24*sqrt(1/16*I - 1/16) + 6*I + 1)*(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4) + 8*sqrt(x + sqrt(x^2 + 1))) + 1/2*(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)*log(-1/2*(2*(4*sqrt(1/16*I - 1/16) + I)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - (8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 2*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*((sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) - sqrt(2))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) + sqrt(2)) + 24*sqrt(1/16*I - 1/16) + 6*I + 1)*(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4) + 8*sqrt(x + sqrt(x^2 + 1))) - 1/2*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)*log(1/2*(2*(4*sqrt(1/16*I - 1/16) + I)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - (8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 2*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*((sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) - sqrt(2))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) + sqrt(2)) + 24*sqrt(1/16*I - 1/16) + 6*I + 1)*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4) + 8*sqrt(x + sqrt(x^2 + 1))) + 1/2*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)*log(-1/2*(2*(4*sqrt(1/16*I - 1/16) + I)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - (8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 2*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*((sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) - sqrt(2))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) + sqrt(2)) + 24*sqrt(1/16*I - 1/16) + 6*I + 1)*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4) + 8*sqrt(x + sqrt(x^2 + 1))) - (-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16)^(1/4)*log(2*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 - 3*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 152*sqrt(1/16*I - 1/16) + 38*I + 34)*(-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16)^(1/4) + 8*sqrt(x + sqrt(x^2 + 1))) + (-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16)^(1/4)*log(-2*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 - 3*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 152*sqrt(1/16*I - 1/16) + 38*I + 34)*(-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16)^(1/4) + 8*sqrt(x + sqrt(x^2 + 1))) + (-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(1/4)*log(2*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 + 2*(4*sqrt(1/16*I - 1/16) + I)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 176*sqrt(1/16*I - 1/16) + 44*I + 3)*(-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(1/4) + 8*sqrt(x + sqrt(x^2 + 1))) - (-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(1/4)*log(-2*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 + 2*(4*sqrt(1/16*I - 1/16) + I)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 176*sqrt(1/16*I - 1/16) + 44*I + 3)*(-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(1/4) + 8*sqrt(x + sqrt(x^2 + 1)))","B",0
1949,1,3496,0,2.178988," ","integrate((x^4-1)/(x^4+1)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{2}{3} \, {\left(x^{2} - \sqrt{x^{2} + 1} x - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}} + 2 \, {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} \arctan\left(\frac{1}{16} \, \sqrt{2} {\left(2 \, \sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 4\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 2\right)} \sqrt{{\left({\left(16 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 2 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 2\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 2 \, \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left({\left(2 \, \sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} - \sqrt{2}\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}\right)} + 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 8 i + 2\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1} + 8 \, x + 8 \, \sqrt{x^{2} + 1}} {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left(2 \, \sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} \sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + \sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 4\right)} \sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}}\right)} {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{3}{4}}\right) + 4 \, {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} \arctan\left(-4 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} + {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 4\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 21\right)} \sqrt{-{\left(2 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} + {\left(16 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - 8 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 2 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 2\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 352 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 88 i + 23\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}} + x + \sqrt{x^{2} + 1}} {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{3}{4}} + 4 \, {\left(\sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 4\right)} \sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 21\right)} \sqrt{x + \sqrt{x^{2} + 1}}\right)} {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{3}{4}}\right) - 2 \, {\left(\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} \arctan\left(\frac{1}{16} \, {\left(\sqrt{2} {\left(2 \, \sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 4\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - 2\right)} \sqrt{{\left({\left(16 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 2 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 2\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - 2 \, \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left({\left(2 \, \sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} - \sqrt{2}\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}\right)} + 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 8 i + 2\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1} + 8 \, x + 8 \, \sqrt{x^{2} + 1}} \sqrt{\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1} - 4 \, {\left(2 \, \sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} \sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 4\right)} \sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - 2 \, \sqrt{x + \sqrt{x^{2} + 1}}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1}\right)} {\left(\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}}\right) - 4 \, {\left(-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} \arctan\left(-4 \, {\left({\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 19\right)} \sqrt{{\left(2 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} - 7 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 320 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 80 i + 53\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}} + x + \sqrt{x^{2} + 1}} \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}} - {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 19\right)} \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}}\right)} {\left(-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}}\right) - \frac{1}{2} \, {\left(\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} \log\left(\frac{1}{2} \, {\left(2 \, {\left(4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + i\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - 2 \, \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left({\left(\sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} - \sqrt{2}\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} + \sqrt{2}\right)} + 24 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 6 i + 1\right)} {\left(\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} + 8 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) + \frac{1}{2} \, {\left(\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} \log\left(-\frac{1}{2} \, {\left(2 \, {\left(4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + i\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - 2 \, \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left({\left(\sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} - \sqrt{2}\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} + \sqrt{2}\right)} + 24 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 6 i + 1\right)} {\left(\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} + 8 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) - \frac{1}{2} \, {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} \log\left(\frac{1}{2} \, {\left(2 \, {\left(4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + i\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 2 \, \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left({\left(\sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} - \sqrt{2}\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} + \sqrt{2}\right)} + 24 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 6 i + 1\right)} {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} + 8 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) + \frac{1}{2} \, {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} \log\left(-\frac{1}{2} \, {\left(2 \, {\left(4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + i\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 2 \, \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left({\left(\sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} - \sqrt{2}\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} + \sqrt{2}\right)} + 24 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 6 i + 1\right)} {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} + 8 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) - {\left(-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} \log\left(2 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} - 3 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 152 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 38 i + 34\right)} {\left(-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} + 8 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) + {\left(-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} \log\left(-2 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} - 3 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 152 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 38 i + 34\right)} {\left(-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} + 8 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) + {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} \log\left(2 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} + 2 \, {\left(4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + i\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 3\right)} {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} + 8 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) - {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} \log\left(-2 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} + 2 \, {\left(4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + i\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 3\right)} {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} + 8 \, \sqrt{x + \sqrt{x^{2} + 1}}\right)"," ",0,"-2/3*(x^2 - sqrt(x^2 + 1)*x - 1)*sqrt(x + sqrt(x^2 + 1)) + 2*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)*arctan(1/16*sqrt(2)*(2*sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + (8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 4)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 2)*sqrt(((16*sqrt(1/16*I - 1/16) + 4*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - (8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 2*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 2)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 2*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*((2*sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) - sqrt(2))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1)) + 32*sqrt(1/16*I - 1/16) + 8*I + 2)*sqrt(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1) + 8*x + 8*sqrt(x^2 + 1))*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(3/4) - 1/4*(2*sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*sqrt(x + sqrt(x^2 + 1))*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + sqrt(x + sqrt(x^2 + 1))*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 4)*sqrt(x + sqrt(x^2 + 1))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 2*sqrt(x + sqrt(x^2 + 1)))*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(3/4)) + 4*(-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(1/4)*arctan(-4*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 + (8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 4)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 176*sqrt(1/16*I - 1/16) + 44*I + 21)*sqrt(-(2*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 + (16*sqrt(1/16*I - 1/16) + 4*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - 8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 2*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 2)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 352*sqrt(1/16*I - 1/16) + 88*I + 23)*sqrt(-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16) + x + sqrt(x^2 + 1))*(-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(3/4) + 4*(sqrt(x + sqrt(x^2 + 1))*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 4)*sqrt(x + sqrt(x^2 + 1))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 176*sqrt(1/16*I - 1/16) + 44*I + 21)*sqrt(x + sqrt(x^2 + 1)))*(-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(3/4)) - 2*(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)*arctan(1/16*(sqrt(2)*(2*sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - (8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 4)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 2)*sqrt(((16*sqrt(1/16*I - 1/16) + 4*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - (8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 2*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 2)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 2*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*((2*sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) - sqrt(2))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1)) + 32*sqrt(1/16*I - 1/16) + 8*I + 2)*sqrt(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1) + 8*x + 8*sqrt(x^2 + 1))*sqrt(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1) - 4*(2*sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*sqrt(x + sqrt(x^2 + 1))*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - sqrt(x + sqrt(x^2 + 1))*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 4)*sqrt(x + sqrt(x^2 + 1))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 2*sqrt(x + sqrt(x^2 + 1)))*sqrt(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1))*(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)) - 4*(-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16)^(1/4)*arctan(-4*(((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 176*sqrt(1/16*I - 1/16) + 44*I + 19)*sqrt((2*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 - 7*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 320*sqrt(1/16*I - 1/16) + 80*I + 53)*sqrt(-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16) + x + sqrt(x^2 + 1))*sqrt(-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16) - ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 176*sqrt(1/16*I - 1/16) + 44*I + 19)*sqrt(x + sqrt(x^2 + 1))*sqrt(-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16))*(-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16)^(1/4)) - 1/2*(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)*log(1/2*(2*(4*sqrt(1/16*I - 1/16) + I)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - (8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 2*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*((sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) - sqrt(2))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) + sqrt(2)) + 24*sqrt(1/16*I - 1/16) + 6*I + 1)*(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4) + 8*sqrt(x + sqrt(x^2 + 1))) + 1/2*(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)*log(-1/2*(2*(4*sqrt(1/16*I - 1/16) + I)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - (8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 2*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*((sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) - sqrt(2))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) + sqrt(2)) + 24*sqrt(1/16*I - 1/16) + 6*I + 1)*(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4) + 8*sqrt(x + sqrt(x^2 + 1))) - 1/2*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)*log(1/2*(2*(4*sqrt(1/16*I - 1/16) + I)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - (8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 2*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*((sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) - sqrt(2))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) + sqrt(2)) + 24*sqrt(1/16*I - 1/16) + 6*I + 1)*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4) + 8*sqrt(x + sqrt(x^2 + 1))) + 1/2*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)*log(-1/2*(2*(4*sqrt(1/16*I - 1/16) + I)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - (8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 2*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*((sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) - sqrt(2))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) + sqrt(2)) + 24*sqrt(1/16*I - 1/16) + 6*I + 1)*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4) + 8*sqrt(x + sqrt(x^2 + 1))) - (-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16)^(1/4)*log(2*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 - 3*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 152*sqrt(1/16*I - 1/16) + 38*I + 34)*(-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16)^(1/4) + 8*sqrt(x + sqrt(x^2 + 1))) + (-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16)^(1/4)*log(-2*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 - 3*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 152*sqrt(1/16*I - 1/16) + 38*I + 34)*(-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16)^(1/4) + 8*sqrt(x + sqrt(x^2 + 1))) + (-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(1/4)*log(2*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 + 2*(4*sqrt(1/16*I - 1/16) + I)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 176*sqrt(1/16*I - 1/16) + 44*I + 3)*(-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(1/4) + 8*sqrt(x + sqrt(x^2 + 1))) - (-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(1/4)*log(-2*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 + 2*(4*sqrt(1/16*I - 1/16) + I)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 176*sqrt(1/16*I - 1/16) + 44*I + 3)*(-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(1/4) + 8*sqrt(x + sqrt(x^2 + 1)))","B",0
1950,-1,0,0,0.000000," ","integrate(1/(x^4-x^2)^(1/4)/(x^8-1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1951,-1,0,0,0.000000," ","integrate(1/(x^4-x^2)^(1/4)/(x^8-1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1952,1,610,0,10.382381," ","integrate((x^4-2)/(x^4+1)^(1/4)/(2*x^8-x^4-1),x, algorithm=""fricas"")","-\frac{1}{12} \cdot 2^{\frac{3}{4}} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{3}{4}} x + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{4} + 1} x^{2} + 2^{\frac{1}{4}} {\left(3 \, x^{4} + 1\right)}\right)}}{2 \, {\left(x^{4} - 1\right)}}\right) + \frac{1}{48} \cdot 2^{\frac{3}{4}} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{4} + 1} x^{2} + 2^{\frac{3}{4}} {\left(3 \, x^{4} + 1\right)} + 4 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x}{x^{4} - 1}\right) - \frac{1}{48} \cdot 2^{\frac{3}{4}} \log\left(\frac{4 \, \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{4} + 1} x^{2} - 2^{\frac{3}{4}} {\left(3 \, x^{4} + 1\right)} + 4 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x}{x^{4} - 1}\right) + \frac{5}{12} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(x^{4} + 1\right)}^{\frac{3}{4}} x^{2} - \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{5}{4}} - {\left(2 \, x^{5} - \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{3}{4}} x^{2} - \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{5}{4}} + 2 \, x\right)} \sqrt{\frac{2 \, x^{4} + 2 \, \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{x^{4} + 1} x^{2} + 2 \, \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{3}{4}} x + 1}{2 \, x^{4} + 1}}}{2 \, {\left(x^{5} + x\right)}}\right) + \frac{5}{12} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(x^{4} + 1\right)}^{\frac{3}{4}} x^{2} - \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{5}{4}} + {\left(2 \, x^{5} + \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{3}{4}} x^{2} + \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{5}{4}} + 2 \, x\right)} \sqrt{\frac{2 \, x^{4} - 2 \, \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{x^{4} + 1} x^{2} - 2 \, \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{3}{4}} x + 1}{2 \, x^{4} + 1}}}{2 \, {\left(x^{5} + x\right)}}\right) + \frac{5}{48} \, \sqrt{2} \log\left(\frac{2 \, x^{4} + 2 \, \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{x^{4} + 1} x^{2} + 2 \, \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{3}{4}} x + 1}{2 \, x^{4} + 1}\right) - \frac{5}{48} \, \sqrt{2} \log\left(\frac{2 \, x^{4} - 2 \, \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{x^{4} + 1} x^{2} - 2 \, \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{3}{4}} x + 1}{2 \, x^{4} + 1}\right)"," ",0,"-1/12*2^(3/4)*arctan(1/2*(4*2^(3/4)*(x^4 + 1)^(1/4)*x^3 + 4*2^(1/4)*(x^4 + 1)^(3/4)*x + 2^(3/4)*(2*2^(3/4)*sqrt(x^4 + 1)*x^2 + 2^(1/4)*(3*x^4 + 1)))/(x^4 - 1)) + 1/48*2^(3/4)*log((4*sqrt(2)*(x^4 + 1)^(1/4)*x^3 + 4*2^(1/4)*sqrt(x^4 + 1)*x^2 + 2^(3/4)*(3*x^4 + 1) + 4*(x^4 + 1)^(3/4)*x)/(x^4 - 1)) - 1/48*2^(3/4)*log((4*sqrt(2)*(x^4 + 1)^(1/4)*x^3 - 4*2^(1/4)*sqrt(x^4 + 1)*x^2 - 2^(3/4)*(3*x^4 + 1) + 4*(x^4 + 1)^(3/4)*x)/(x^4 - 1)) + 5/12*sqrt(2)*arctan(1/2*(sqrt(2)*(x^4 + 1)^(3/4)*x^2 - sqrt(2)*(x^4 + 1)^(5/4) - (2*x^5 - sqrt(2)*(x^4 + 1)^(3/4)*x^2 - sqrt(2)*(x^4 + 1)^(5/4) + 2*x)*sqrt((2*x^4 + 2*sqrt(2)*(x^4 + 1)^(1/4)*x^3 + 4*sqrt(x^4 + 1)*x^2 + 2*sqrt(2)*(x^4 + 1)^(3/4)*x + 1)/(2*x^4 + 1)))/(x^5 + x)) + 5/12*sqrt(2)*arctan(1/2*(sqrt(2)*(x^4 + 1)^(3/4)*x^2 - sqrt(2)*(x^4 + 1)^(5/4) + (2*x^5 + sqrt(2)*(x^4 + 1)^(3/4)*x^2 + sqrt(2)*(x^4 + 1)^(5/4) + 2*x)*sqrt((2*x^4 - 2*sqrt(2)*(x^4 + 1)^(1/4)*x^3 + 4*sqrt(x^4 + 1)*x^2 - 2*sqrt(2)*(x^4 + 1)^(3/4)*x + 1)/(2*x^4 + 1)))/(x^5 + x)) + 5/48*sqrt(2)*log((2*x^4 + 2*sqrt(2)*(x^4 + 1)^(1/4)*x^3 + 4*sqrt(x^4 + 1)*x^2 + 2*sqrt(2)*(x^4 + 1)^(3/4)*x + 1)/(2*x^4 + 1)) - 5/48*sqrt(2)*log((2*x^4 - 2*sqrt(2)*(x^4 + 1)^(1/4)*x^3 + 4*sqrt(x^4 + 1)*x^2 - 2*sqrt(2)*(x^4 + 1)^(3/4)*x + 1)/(2*x^4 + 1))","B",0
1953,-1,0,0,0.000000," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/(a*x^2+b^2)^(5/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1954,1,122,0,0.485307," ","integrate((a*x^2-b)^(1/4)/x,x, algorithm=""fricas"")","-2 \, \left(-b\right)^{\frac{1}{4}} \arctan\left(\frac{\left(-b\right)^{\frac{3}{4}} \sqrt{\sqrt{a x^{2} - b} + \sqrt{-b}} - {\left(a x^{2} - b\right)}^{\frac{1}{4}} \left(-b\right)^{\frac{3}{4}}}{b}\right) - \frac{1}{2} \, \left(-b\right)^{\frac{1}{4}} \log\left({\left(a x^{2} - b\right)}^{\frac{1}{4}} + \left(-b\right)^{\frac{1}{4}}\right) + \frac{1}{2} \, \left(-b\right)^{\frac{1}{4}} \log\left({\left(a x^{2} - b\right)}^{\frac{1}{4}} - \left(-b\right)^{\frac{1}{4}}\right) + 2 \, {\left(a x^{2} - b\right)}^{\frac{1}{4}}"," ",0,"-2*(-b)^(1/4)*arctan(((-b)^(3/4)*sqrt(sqrt(a*x^2 - b) + sqrt(-b)) - (a*x^2 - b)^(1/4)*(-b)^(3/4))/b) - 1/2*(-b)^(1/4)*log((a*x^2 - b)^(1/4) + (-b)^(1/4)) + 1/2*(-b)^(1/4)*log((a*x^2 - b)^(1/4) - (-b)^(1/4)) + 2*(a*x^2 - b)^(1/4)","A",0
1955,1,123,0,78.698550," ","integrate((a*x^2+b)*(x^3-x)^(1/3)/x^2,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} {\left(a - 3 \, b\right)} x \arctan\left(-\frac{44032959556 \, \sqrt{3} {\left(x^{3} - x\right)}^{\frac{1}{3}} x + \sqrt{3} {\left(16754327161 \, x^{2} - 2707204793\right)} - 10524305234 \, \sqrt{3} {\left(x^{3} - x\right)}^{\frac{2}{3}}}{81835897185 \, x^{2} - 1102302937}\right) + {\left(a - 3 \, b\right)} x \log\left(-3 \, {\left(x^{3} - x\right)}^{\frac{1}{3}} x + 3 \, {\left(x^{3} - x\right)}^{\frac{2}{3}} + 1\right) + 6 \, {\left(a x^{2} - 3 \, b\right)} {\left(x^{3} - x\right)}^{\frac{1}{3}}}{12 \, x}"," ",0,"1/12*(2*sqrt(3)*(a - 3*b)*x*arctan(-(44032959556*sqrt(3)*(x^3 - x)^(1/3)*x + sqrt(3)*(16754327161*x^2 - 2707204793) - 10524305234*sqrt(3)*(x^3 - x)^(2/3))/(81835897185*x^2 - 1102302937)) + (a - 3*b)*x*log(-3*(x^3 - x)^(1/3)*x + 3*(x^3 - x)^(2/3) + 1) + 6*(a*x^2 - 3*b)*(x^3 - x)^(1/3))/x","A",0
1956,-1,0,0,0.000000," ","integrate((a*x-b)/x/(a^3*x^3+b^3)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1957,1,207,0,0.633807," ","integrate(x^2*(x^4-x^3)^(1/4)/(2+x),x, algorithm=""fricas"")","\frac{1}{96} \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(32 \, x^{2} - 100 \, x + 401\right)} - 16 \cdot 24^{\frac{1}{4}} \arctan\left(\frac{24^{\frac{3}{4}} \sqrt{2} x \sqrt{\frac{\sqrt{6} x^{2} + 2 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \cdot 24^{\frac{3}{4}} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{24 \, x}\right) + 4 \cdot 24^{\frac{1}{4}} \log\left(\frac{24^{\frac{1}{4}} x + 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - 4 \cdot 24^{\frac{1}{4}} \log\left(-\frac{24^{\frac{1}{4}} x - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1135}{64} \, \arctan\left(\frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1135}{128} \, \log\left(\frac{x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1135}{128} \, \log\left(-\frac{x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"1/96*(x^4 - x^3)^(1/4)*(32*x^2 - 100*x + 401) - 16*24^(1/4)*arctan(1/24*(24^(3/4)*sqrt(2)*x*sqrt((sqrt(6)*x^2 + 2*sqrt(x^4 - x^3))/x^2) - 2*24^(3/4)*(x^4 - x^3)^(1/4))/x) + 4*24^(1/4)*log((24^(1/4)*x + 2*(x^4 - x^3)^(1/4))/x) - 4*24^(1/4)*log(-(24^(1/4)*x - 2*(x^4 - x^3)^(1/4))/x) - 1135/64*arctan((x^4 - x^3)^(1/4)/x) - 1135/128*log((x + (x^4 - x^3)^(1/4))/x) + 1135/128*log(-(x - (x^4 - x^3)^(1/4))/x)","A",0
1958,1,278,0,3.607614," ","integrate((-1+x)*(12*x^4-8*x^2+8*x-3)/x/((-2*x^2+1)/(2*x^2+1))^(2/3)/(2*x^2+1)/(2*x^4-6*x^3+7*x^2-7*x+3),x, algorithm=""fricas"")","\sqrt{3} \arctan\left(\frac{434 \, \sqrt{3} {\left(2 \, x^{3} - 2 \, x^{2} + x - 1\right)} \left(-\frac{2 \, x^{2} - 1}{2 \, x^{2} + 1}\right)^{\frac{2}{3}} + 682 \, \sqrt{3} {\left(2 \, x^{4} - 4 \, x^{3} + 3 \, x^{2} - 2 \, x + 1\right)} \left(-\frac{2 \, x^{2} - 1}{2 \, x^{2} + 1}\right)^{\frac{1}{3}} + \sqrt{3} {\left(242 \, x^{5} - 726 \, x^{4} + 847 \, x^{3} - 1095 \, x^{2} + 363 \, x + 124\right)}}{2662 \, x^{5} - 7986 \, x^{4} + 9317 \, x^{3} - 5969 \, x^{2} + 3993 \, x - 1674}\right) + \frac{1}{2} \, \log\left(\frac{2 \, x^{5} - 6 \, x^{4} + 7 \, x^{3} - 7 \, x^{2} + 3 \, {\left(2 \, x^{3} - 2 \, x^{2} + x - 1\right)} \left(-\frac{2 \, x^{2} - 1}{2 \, x^{2} + 1}\right)^{\frac{2}{3}} + 3 \, {\left(2 \, x^{4} - 4 \, x^{3} + 3 \, x^{2} - 2 \, x + 1\right)} \left(-\frac{2 \, x^{2} - 1}{2 \, x^{2} + 1}\right)^{\frac{1}{3}} + 3 \, x}{2 \, x^{5} - 6 \, x^{4} + 7 \, x^{3} - 7 \, x^{2} + 3 \, x}\right)"," ",0,"sqrt(3)*arctan((434*sqrt(3)*(2*x^3 - 2*x^2 + x - 1)*(-(2*x^2 - 1)/(2*x^2 + 1))^(2/3) + 682*sqrt(3)*(2*x^4 - 4*x^3 + 3*x^2 - 2*x + 1)*(-(2*x^2 - 1)/(2*x^2 + 1))^(1/3) + sqrt(3)*(242*x^5 - 726*x^4 + 847*x^3 - 1095*x^2 + 363*x + 124))/(2662*x^5 - 7986*x^4 + 9317*x^3 - 5969*x^2 + 3993*x - 1674)) + 1/2*log((2*x^5 - 6*x^4 + 7*x^3 - 7*x^2 + 3*(2*x^3 - 2*x^2 + x - 1)*(-(2*x^2 - 1)/(2*x^2 + 1))^(2/3) + 3*(2*x^4 - 4*x^3 + 3*x^2 - 2*x + 1)*(-(2*x^2 - 1)/(2*x^2 + 1))^(1/3) + 3*x)/(2*x^5 - 6*x^4 + 7*x^3 - 7*x^2 + 3*x))","B",0
1959,-2,0,0,0.000000," ","integrate((-a*x^5+b)/(b*x+a)^(1/2)/(x^5+a*b),x, algorithm=""fricas"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> no explicit roots found","F(-2)",0
1960,1,301,0,2.441275," ","integrate((x^3-1)^(2/3)*(x^6+x^3+1)/x^6/(x^6-1),x, algorithm=""fricas"")","-\frac{10 \, \sqrt{6} 2^{\frac{1}{6}} \left(-1\right)^{\frac{1}{3}} x^{5} \arctan\left(\frac{2^{\frac{1}{6}} {\left(6 \, \sqrt{6} 2^{\frac{2}{3}} \left(-1\right)^{\frac{2}{3}} {\left(5 \, x^{7} + 4 \, x^{4} - x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} + 12 \, \sqrt{6} \left(-1\right)^{\frac{1}{3}} {\left(19 \, x^{8} - 16 \, x^{5} + x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}} - \sqrt{6} 2^{\frac{1}{3}} {\left(71 \, x^{9} - 111 \, x^{6} + 33 \, x^{3} - 1\right)}\right)}}{6 \, {\left(109 \, x^{9} - 105 \, x^{6} + 3 \, x^{3} + 1\right)}}\right) - 10 \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} x^{5} \log\left(-\frac{6 \cdot 2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{3} + 1\right)} - 6 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x}{x^{3} + 1}\right) + 5 \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} x^{5} \log\left(-\frac{3 \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(5 \, x^{4} - x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} - 2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(19 \, x^{6} - 16 \, x^{3} + 1\right)} - 12 \, {\left(2 \, x^{5} - x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x^{6} + 2 \, x^{3} + 1}\right) - 18 \, {\left(3 \, x^{3} + 2\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{180 \, x^{5}}"," ",0,"-1/180*(10*sqrt(6)*2^(1/6)*(-1)^(1/3)*x^5*arctan(1/6*2^(1/6)*(6*sqrt(6)*2^(2/3)*(-1)^(2/3)*(5*x^7 + 4*x^4 - x)*(x^3 - 1)^(2/3) + 12*sqrt(6)*(-1)^(1/3)*(19*x^8 - 16*x^5 + x^2)*(x^3 - 1)^(1/3) - sqrt(6)*2^(1/3)*(71*x^9 - 111*x^6 + 33*x^3 - 1))/(109*x^9 - 105*x^6 + 3*x^3 + 1)) - 10*2^(2/3)*(-1)^(1/3)*x^5*log(-(6*2^(1/3)*(-1)^(2/3)*(x^3 - 1)^(1/3)*x^2 + 2^(2/3)*(-1)^(1/3)*(x^3 + 1) - 6*(x^3 - 1)^(2/3)*x)/(x^3 + 1)) + 5*2^(2/3)*(-1)^(1/3)*x^5*log(-(3*2^(2/3)*(-1)^(1/3)*(5*x^4 - x)*(x^3 - 1)^(2/3) - 2^(1/3)*(-1)^(2/3)*(19*x^6 - 16*x^3 + 1) - 12*(2*x^5 - x^2)*(x^3 - 1)^(1/3))/(x^6 + 2*x^3 + 1)) - 18*(3*x^3 + 2)*(x^3 - 1)^(2/3))/x^5","B",0
1961,-1,0,0,0.000000," ","integrate((x^2-1)/(1+x)^(1/2)/(x^2+1)/(1+(1+x)^(1/2))^(1/2)/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1962,-1,0,0,0.000000," ","integrate((x^2-1)/(1+x)^(1/2)/(x^2+1)/(1+(1+x)^(1/2))^(1/2)/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1963,1,338,0,0.483706," ","integrate(x/(x^2*(-a+x))^(2/3)/(-a*d+(-1+d)*x),x, algorithm=""fricas"")","\left[\frac{\sqrt{3} d \sqrt{-\frac{1}{d^{\frac{2}{3}}}} \log\left(\frac{2 \, a d x - {\left(2 \, d + 1\right)} x^{2} - \sqrt{3} {\left(d^{\frac{1}{3}} x^{2} + {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d^{\frac{2}{3}} x - 2 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d\right)} \sqrt{-\frac{1}{d^{\frac{2}{3}}}} + 3 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d^{\frac{1}{3}} x}{a d x - {\left(d - 1\right)} x^{2}}\right) + 2 \, d^{\frac{2}{3}} \log\left(-\frac{d^{\frac{2}{3}} x - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d}{x}\right) - d^{\frac{2}{3}} \log\left(\frac{d^{\frac{1}{3}} x^{2} + {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d^{\frac{2}{3}} x + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d}{x^{2}}\right)}{2 \, a d}, -\frac{2 \, \sqrt{3} d^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(d^{\frac{1}{3}} x + 2 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d^{\frac{2}{3}}\right)}}{3 \, d^{\frac{1}{3}} x}\right) - 2 \, d^{\frac{2}{3}} \log\left(-\frac{d^{\frac{2}{3}} x - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d}{x}\right) + d^{\frac{2}{3}} \log\left(\frac{d^{\frac{1}{3}} x^{2} + {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d^{\frac{2}{3}} x + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d}{x^{2}}\right)}{2 \, a d}\right]"," ",0,"[1/2*(sqrt(3)*d*sqrt(-1/d^(2/3))*log((2*a*d*x - (2*d + 1)*x^2 - sqrt(3)*(d^(1/3)*x^2 + (-a*x^2 + x^3)^(1/3)*d^(2/3)*x - 2*(-a*x^2 + x^3)^(2/3)*d)*sqrt(-1/d^(2/3)) + 3*(-a*x^2 + x^3)^(1/3)*d^(1/3)*x)/(a*d*x - (d - 1)*x^2)) + 2*d^(2/3)*log(-(d^(2/3)*x - (-a*x^2 + x^3)^(1/3)*d)/x) - d^(2/3)*log((d^(1/3)*x^2 + (-a*x^2 + x^3)^(1/3)*d^(2/3)*x + (-a*x^2 + x^3)^(2/3)*d)/x^2))/(a*d), -1/2*(2*sqrt(3)*d^(2/3)*arctan(1/3*sqrt(3)*(d^(1/3)*x + 2*(-a*x^2 + x^3)^(1/3)*d^(2/3))/(d^(1/3)*x)) - 2*d^(2/3)*log(-(d^(2/3)*x - (-a*x^2 + x^3)^(1/3)*d)/x) + d^(2/3)*log((d^(1/3)*x^2 + (-a*x^2 + x^3)^(1/3)*d^(2/3)*x + (-a*x^2 + x^3)^(2/3)*d)/x^2))/(a*d)]","A",0
1964,1,159,0,0.458341," ","integrate((a*x^2-b)^(3/4)/x,x, algorithm=""fricas"")","2 \, \left(-b^{3}\right)^{\frac{1}{4}} \arctan\left(-\frac{\left(-b^{3}\right)^{\frac{1}{4}} {\left(a x^{2} - b\right)}^{\frac{1}{4}} b^{2} - \sqrt{\sqrt{a x^{2} - b} b^{4} - \sqrt{-b^{3}} b^{3}} \left(-b^{3}\right)^{\frac{1}{4}}}{b^{3}}\right) - \frac{1}{2} \, \left(-b^{3}\right)^{\frac{1}{4}} \log\left({\left(a x^{2} - b\right)}^{\frac{1}{4}} b^{2} + \left(-b^{3}\right)^{\frac{3}{4}}\right) + \frac{1}{2} \, \left(-b^{3}\right)^{\frac{1}{4}} \log\left({\left(a x^{2} - b\right)}^{\frac{1}{4}} b^{2} - \left(-b^{3}\right)^{\frac{3}{4}}\right) + \frac{2}{3} \, {\left(a x^{2} - b\right)}^{\frac{3}{4}}"," ",0,"2*(-b^3)^(1/4)*arctan(-((-b^3)^(1/4)*(a*x^2 - b)^(1/4)*b^2 - sqrt(sqrt(a*x^2 - b)*b^4 - sqrt(-b^3)*b^3)*(-b^3)^(1/4))/b^3) - 1/2*(-b^3)^(1/4)*log((a*x^2 - b)^(1/4)*b^2 + (-b^3)^(3/4)) + 1/2*(-b^3)^(1/4)*log((a*x^2 - b)^(1/4)*b^2 - (-b^3)^(3/4)) + 2/3*(a*x^2 - b)^(3/4)","A",0
1965,1,1172,0,12.136366," ","integrate((x^2-2*x)/(x^2-x+1)/(x^4+1)^(1/4),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \arctan\left(-\frac{x^{8} - 4 \, x^{7} + 10 \, x^{6} - 16 \, x^{5} + 19 \, x^{4} - 16 \, x^{3} + \sqrt{2} {\left(x^{5} - 7 \, x^{4} + 15 \, x^{3} - 15 \, x^{2} + 7 \, x - 1\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + 10 \, x^{2} - \sqrt{2} {\left(x^{7} - x^{6} - 6 \, x^{5} + 16 \, x^{4} - 16 \, x^{3} + 6 \, x^{2} + x - 1\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}} + 2 \, {\left(x^{6} - 4 \, x^{5} + 8 \, x^{4} - 10 \, x^{3} + 8 \, x^{2} - 4 \, x + 1\right)} \sqrt{x^{4} + 1} - {\left(\sqrt{2} {\left(x^{6} - 8 \, x^{5} + 22 \, x^{4} - 30 \, x^{3} + 22 \, x^{2} - 8 \, x + 1\right)} \sqrt{x^{4} + 1} + 4 \, {\left(x^{5} - 5 \, x^{4} + 10 \, x^{3} - 10 \, x^{2} + 5 \, x - 1\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + \sqrt{2} {\left(2 \, x^{8} - 10 \, x^{7} + 19 \, x^{6} - 22 \, x^{5} + 21 \, x^{4} - 22 \, x^{3} + 19 \, x^{2} - 10 \, x + 2\right)} + 2 \, {\left(x^{7} - 5 \, x^{6} + 12 \, x^{5} - 18 \, x^{4} + 18 \, x^{3} - 12 \, x^{2} + 5 \, x - 1\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{4} - 2 \, x^{3} - \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{3}{4}} {\left(x - 1\right)} + 3 \, x^{2} - \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)} + 2 \, \sqrt{x^{4} + 1} {\left(x^{2} - 2 \, x + 1\right)} - 2 \, x + 1}{x^{4} - 2 \, x^{3} + 3 \, x^{2} - 2 \, x + 1}} - 4 \, x + 1}{3 \, x^{8} - 12 \, x^{7} + 14 \, x^{6} - 11 \, x^{4} + 14 \, x^{2} - 12 \, x + 3}\right) - \frac{1}{2} \, \sqrt{2} \arctan\left(-\frac{x^{8} - 4 \, x^{7} + 10 \, x^{6} - 16 \, x^{5} + 19 \, x^{4} - 16 \, x^{3} - \sqrt{2} {\left(x^{5} - 7 \, x^{4} + 15 \, x^{3} - 15 \, x^{2} + 7 \, x - 1\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + 10 \, x^{2} + \sqrt{2} {\left(x^{7} - x^{6} - 6 \, x^{5} + 16 \, x^{4} - 16 \, x^{3} + 6 \, x^{2} + x - 1\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}} + 2 \, {\left(x^{6} - 4 \, x^{5} + 8 \, x^{4} - 10 \, x^{3} + 8 \, x^{2} - 4 \, x + 1\right)} \sqrt{x^{4} + 1} + {\left(\sqrt{2} {\left(x^{6} - 8 \, x^{5} + 22 \, x^{4} - 30 \, x^{3} + 22 \, x^{2} - 8 \, x + 1\right)} \sqrt{x^{4} + 1} - 4 \, {\left(x^{5} - 5 \, x^{4} + 10 \, x^{3} - 10 \, x^{2} + 5 \, x - 1\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + \sqrt{2} {\left(2 \, x^{8} - 10 \, x^{7} + 19 \, x^{6} - 22 \, x^{5} + 21 \, x^{4} - 22 \, x^{3} + 19 \, x^{2} - 10 \, x + 2\right)} - 2 \, {\left(x^{7} - 5 \, x^{6} + 12 \, x^{5} - 18 \, x^{4} + 18 \, x^{3} - 12 \, x^{2} + 5 \, x - 1\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{4} - 2 \, x^{3} + \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{3}{4}} {\left(x - 1\right)} + 3 \, x^{2} + \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)} + 2 \, \sqrt{x^{4} + 1} {\left(x^{2} - 2 \, x + 1\right)} - 2 \, x + 1}{x^{4} - 2 \, x^{3} + 3 \, x^{2} - 2 \, x + 1}} - 4 \, x + 1}{3 \, x^{8} - 12 \, x^{7} + 14 \, x^{6} - 11 \, x^{4} + 14 \, x^{2} - 12 \, x + 3}\right) - \frac{1}{8} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{4} - 2 \, x^{3} + \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{3}{4}} {\left(x - 1\right)} + 3 \, x^{2} + \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)} + 2 \, \sqrt{x^{4} + 1} {\left(x^{2} - 2 \, x + 1\right)} - 2 \, x + 1\right)}}{x^{4} - 2 \, x^{3} + 3 \, x^{2} - 2 \, x + 1}\right) + \frac{1}{8} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{4} - 2 \, x^{3} - \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{3}{4}} {\left(x - 1\right)} + 3 \, x^{2} - \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)} + 2 \, \sqrt{x^{4} + 1} {\left(x^{2} - 2 \, x + 1\right)} - 2 \, x + 1\right)}}{x^{4} - 2 \, x^{3} + 3 \, x^{2} - 2 \, x + 1}\right) + \frac{1}{4} \, \arctan\left(2 \, {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 2 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x\right) + \frac{1}{4} \, \log\left(2 \, x^{4} + 2 \, {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 2 \, \sqrt{x^{4} + 1} x^{2} + 2 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x + 1\right)"," ",0,"1/2*sqrt(2)*arctan(-(x^8 - 4*x^7 + 10*x^6 - 16*x^5 + 19*x^4 - 16*x^3 + sqrt(2)*(x^5 - 7*x^4 + 15*x^3 - 15*x^2 + 7*x - 1)*(x^4 + 1)^(3/4) + 10*x^2 - sqrt(2)*(x^7 - x^6 - 6*x^5 + 16*x^4 - 16*x^3 + 6*x^2 + x - 1)*(x^4 + 1)^(1/4) + 2*(x^6 - 4*x^5 + 8*x^4 - 10*x^3 + 8*x^2 - 4*x + 1)*sqrt(x^4 + 1) - (sqrt(2)*(x^6 - 8*x^5 + 22*x^4 - 30*x^3 + 22*x^2 - 8*x + 1)*sqrt(x^4 + 1) + 4*(x^5 - 5*x^4 + 10*x^3 - 10*x^2 + 5*x - 1)*(x^4 + 1)^(3/4) + sqrt(2)*(2*x^8 - 10*x^7 + 19*x^6 - 22*x^5 + 21*x^4 - 22*x^3 + 19*x^2 - 10*x + 2) + 2*(x^7 - 5*x^6 + 12*x^5 - 18*x^4 + 18*x^3 - 12*x^2 + 5*x - 1)*(x^4 + 1)^(1/4))*sqrt((x^4 - 2*x^3 - sqrt(2)*(x^4 + 1)^(3/4)*(x - 1) + 3*x^2 - sqrt(2)*(x^4 + 1)^(1/4)*(x^3 - 3*x^2 + 3*x - 1) + 2*sqrt(x^4 + 1)*(x^2 - 2*x + 1) - 2*x + 1)/(x^4 - 2*x^3 + 3*x^2 - 2*x + 1)) - 4*x + 1)/(3*x^8 - 12*x^7 + 14*x^6 - 11*x^4 + 14*x^2 - 12*x + 3)) - 1/2*sqrt(2)*arctan(-(x^8 - 4*x^7 + 10*x^6 - 16*x^5 + 19*x^4 - 16*x^3 - sqrt(2)*(x^5 - 7*x^4 + 15*x^3 - 15*x^2 + 7*x - 1)*(x^4 + 1)^(3/4) + 10*x^2 + sqrt(2)*(x^7 - x^6 - 6*x^5 + 16*x^4 - 16*x^3 + 6*x^2 + x - 1)*(x^4 + 1)^(1/4) + 2*(x^6 - 4*x^5 + 8*x^4 - 10*x^3 + 8*x^2 - 4*x + 1)*sqrt(x^4 + 1) + (sqrt(2)*(x^6 - 8*x^5 + 22*x^4 - 30*x^3 + 22*x^2 - 8*x + 1)*sqrt(x^4 + 1) - 4*(x^5 - 5*x^4 + 10*x^3 - 10*x^2 + 5*x - 1)*(x^4 + 1)^(3/4) + sqrt(2)*(2*x^8 - 10*x^7 + 19*x^6 - 22*x^5 + 21*x^4 - 22*x^3 + 19*x^2 - 10*x + 2) - 2*(x^7 - 5*x^6 + 12*x^5 - 18*x^4 + 18*x^3 - 12*x^2 + 5*x - 1)*(x^4 + 1)^(1/4))*sqrt((x^4 - 2*x^3 + sqrt(2)*(x^4 + 1)^(3/4)*(x - 1) + 3*x^2 + sqrt(2)*(x^4 + 1)^(1/4)*(x^3 - 3*x^2 + 3*x - 1) + 2*sqrt(x^4 + 1)*(x^2 - 2*x + 1) - 2*x + 1)/(x^4 - 2*x^3 + 3*x^2 - 2*x + 1)) - 4*x + 1)/(3*x^8 - 12*x^7 + 14*x^6 - 11*x^4 + 14*x^2 - 12*x + 3)) - 1/8*sqrt(2)*log(4*(x^4 - 2*x^3 + sqrt(2)*(x^4 + 1)^(3/4)*(x - 1) + 3*x^2 + sqrt(2)*(x^4 + 1)^(1/4)*(x^3 - 3*x^2 + 3*x - 1) + 2*sqrt(x^4 + 1)*(x^2 - 2*x + 1) - 2*x + 1)/(x^4 - 2*x^3 + 3*x^2 - 2*x + 1)) + 1/8*sqrt(2)*log(4*(x^4 - 2*x^3 - sqrt(2)*(x^4 + 1)^(3/4)*(x - 1) + 3*x^2 - sqrt(2)*(x^4 + 1)^(1/4)*(x^3 - 3*x^2 + 3*x - 1) + 2*sqrt(x^4 + 1)*(x^2 - 2*x + 1) - 2*x + 1)/(x^4 - 2*x^3 + 3*x^2 - 2*x + 1)) + 1/4*arctan(2*(x^4 + 1)^(1/4)*x^3 + 2*(x^4 + 1)^(3/4)*x) + 1/4*log(2*x^4 + 2*(x^4 + 1)^(1/4)*x^3 + 2*sqrt(x^4 + 1)*x^2 + 2*(x^4 + 1)^(3/4)*x + 1)","B",0
1966,1,286,0,0.579805," ","integrate((k^4*x^4+1)/((1-x)*x*(-k^2*x+1))^(1/2)/(k^4*x^4-1),x, algorithm=""fricas"")","\frac{2 \, \sqrt{k^{2} + 1} {\left(k^{2} - 1\right)} \arctan\left(\frac{\sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 2 \, {\left(k^{2} + 1\right)} x + 1\right)} \sqrt{k^{2} + 1}}{2 \, {\left({\left(k^{4} + k^{2}\right)} x^{3} - {\left(k^{4} + 2 \, k^{2} + 1\right)} x^{2} + {\left(k^{2} + 1\right)} x\right)}}\right) + {\left(k^{3} - k^{2} + k - 1\right)} \arctan\left(\frac{\sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 2 \, {\left(k^{2} + k + 1\right)} x + 1\right)}}{2 \, {\left({\left(k^{3} + k^{2}\right)} x^{3} - {\left(k^{3} + k^{2} + k + 1\right)} x^{2} + {\left(k + 1\right)} x\right)}}\right) + {\left(k^{3} + k^{2} + k + 1\right)} \arctan\left(\frac{\sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 2 \, {\left(k^{2} - k + 1\right)} x + 1\right)}}{2 \, {\left({\left(k^{3} - k^{2}\right)} x^{3} - {\left(k^{3} - k^{2} + k - 1\right)} x^{2} + {\left(k - 1\right)} x\right)}}\right)}{4 \, {\left(k^{4} - 1\right)}}"," ",0,"1/4*(2*sqrt(k^2 + 1)*(k^2 - 1)*arctan(1/2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 2*(k^2 + 1)*x + 1)*sqrt(k^2 + 1)/((k^4 + k^2)*x^3 - (k^4 + 2*k^2 + 1)*x^2 + (k^2 + 1)*x)) + (k^3 - k^2 + k - 1)*arctan(1/2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 2*(k^2 + k + 1)*x + 1)/((k^3 + k^2)*x^3 - (k^3 + k^2 + k + 1)*x^2 + (k + 1)*x)) + (k^3 + k^2 + k + 1)*arctan(1/2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 2*(k^2 - k + 1)*x + 1)/((k^3 - k^2)*x^3 - (k^3 - k^2 + k - 1)*x^2 + (k - 1)*x)))/(k^4 - 1)","B",0
1967,-1,0,0,0.000000," ","integrate((a*x^8-b)/(a*x^4-b*x^2)^(1/4)/(a*x^8+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1968,-1,0,0,0.000000," ","integrate((a*x^8-b)/(a*x^4-b*x^2)^(1/4)/(a*x^8+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1969,1,658,0,26.802549," ","integrate((x^8-1)*(x^8+1)/(x^8-x^4-1)^(1/4)/(x^16-3*x^8+1),x, algorithm=""fricas"")","-\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{8} - x^{4} - 1\right)} \arctan\left(\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{8} - x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{8} - x^{4} - 1\right)}^{\frac{3}{4}} x + \sqrt{2} {\left(2 \cdot 2^{\frac{3}{4}} {\left(x^{8} - x^{4} - 1\right)}^{\frac{1}{4}} x^{3} - 4 \, \sqrt{x^{8} - x^{4} - 1} x^{2} + 2 \cdot 2^{\frac{1}{4}} {\left(x^{8} - x^{4} - 1\right)}^{\frac{3}{4}} x - \sqrt{2} {\left(x^{8} + x^{4} - 1\right)}\right)} \sqrt{\frac{x^{8} + x^{4} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{8} - x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{2} \sqrt{x^{8} - x^{4} - 1} x^{2} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{8} - x^{4} - 1\right)}^{\frac{3}{4}} x - 1}{x^{8} + x^{4} - 1}}}{2 \, {\left(x^{8} - 3 \, x^{4} - 1\right)}}\right) + 4 \cdot 2^{\frac{1}{4}} {\left(x^{8} - x^{4} - 1\right)} \arctan\left(\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{8} - x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{8} - x^{4} - 1\right)}^{\frac{3}{4}} x + \sqrt{2} {\left(2 \cdot 2^{\frac{3}{4}} {\left(x^{8} - x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{x^{8} - x^{4} - 1} x^{2} + 2 \cdot 2^{\frac{1}{4}} {\left(x^{8} - x^{4} - 1\right)}^{\frac{3}{4}} x + \sqrt{2} {\left(x^{8} + x^{4} - 1\right)}\right)} \sqrt{\frac{x^{8} + x^{4} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{8} - x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{2} \sqrt{x^{8} - x^{4} - 1} x^{2} - 2 \cdot 2^{\frac{3}{4}} {\left(x^{8} - x^{4} - 1\right)}^{\frac{3}{4}} x - 1}{x^{8} + x^{4} - 1}}}{2 \, {\left(x^{8} - 3 \, x^{4} - 1\right)}}\right) + 2^{\frac{1}{4}} {\left(x^{8} - x^{4} - 1\right)} \log\left(\frac{2 \, {\left(x^{8} + x^{4} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{8} - x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{2} \sqrt{x^{8} - x^{4} - 1} x^{2} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{8} - x^{4} - 1\right)}^{\frac{3}{4}} x - 1\right)}}{x^{8} + x^{4} - 1}\right) - 2^{\frac{1}{4}} {\left(x^{8} - x^{4} - 1\right)} \log\left(\frac{2 \, {\left(x^{8} + x^{4} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{8} - x^{4} - 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{2} \sqrt{x^{8} - x^{4} - 1} x^{2} - 2 \cdot 2^{\frac{3}{4}} {\left(x^{8} - x^{4} - 1\right)}^{\frac{3}{4}} x - 1\right)}}{x^{8} + x^{4} - 1}\right) + 16 \, {\left(x^{8} - x^{4} - 1\right)}^{\frac{3}{4}} x}{32 \, {\left(x^{8} - x^{4} - 1\right)}}"," ",0,"-1/32*(4*2^(1/4)*(x^8 - x^4 - 1)*arctan(1/2*(4*2^(1/4)*(x^8 - x^4 - 1)^(1/4)*x^3 + 2*2^(3/4)*(x^8 - x^4 - 1)^(3/4)*x + sqrt(2)*(2*2^(3/4)*(x^8 - x^4 - 1)^(1/4)*x^3 - 4*sqrt(x^8 - x^4 - 1)*x^2 + 2*2^(1/4)*(x^8 - x^4 - 1)^(3/4)*x - sqrt(2)*(x^8 + x^4 - 1))*sqrt((x^8 + x^4 + 4*2^(1/4)*(x^8 - x^4 - 1)^(1/4)*x^3 + 4*sqrt(2)*sqrt(x^8 - x^4 - 1)*x^2 + 2*2^(3/4)*(x^8 - x^4 - 1)^(3/4)*x - 1)/(x^8 + x^4 - 1)))/(x^8 - 3*x^4 - 1)) + 4*2^(1/4)*(x^8 - x^4 - 1)*arctan(1/2*(4*2^(1/4)*(x^8 - x^4 - 1)^(1/4)*x^3 + 2*2^(3/4)*(x^8 - x^4 - 1)^(3/4)*x + sqrt(2)*(2*2^(3/4)*(x^8 - x^4 - 1)^(1/4)*x^3 + 4*sqrt(x^8 - x^4 - 1)*x^2 + 2*2^(1/4)*(x^8 - x^4 - 1)^(3/4)*x + sqrt(2)*(x^8 + x^4 - 1))*sqrt((x^8 + x^4 - 4*2^(1/4)*(x^8 - x^4 - 1)^(1/4)*x^3 + 4*sqrt(2)*sqrt(x^8 - x^4 - 1)*x^2 - 2*2^(3/4)*(x^8 - x^4 - 1)^(3/4)*x - 1)/(x^8 + x^4 - 1)))/(x^8 - 3*x^4 - 1)) + 2^(1/4)*(x^8 - x^4 - 1)*log(2*(x^8 + x^4 + 4*2^(1/4)*(x^8 - x^4 - 1)^(1/4)*x^3 + 4*sqrt(2)*sqrt(x^8 - x^4 - 1)*x^2 + 2*2^(3/4)*(x^8 - x^4 - 1)^(3/4)*x - 1)/(x^8 + x^4 - 1)) - 2^(1/4)*(x^8 - x^4 - 1)*log(2*(x^8 + x^4 - 4*2^(1/4)*(x^8 - x^4 - 1)^(1/4)*x^3 + 4*sqrt(2)*sqrt(x^8 - x^4 - 1)*x^2 - 2*2^(3/4)*(x^8 - x^4 - 1)^(3/4)*x - 1)/(x^8 + x^4 - 1)) + 16*(x^8 - x^4 - 1)^(3/4)*x)/(x^8 - x^4 - 1)","B",0
1970,1,153,0,0.672410," ","integrate(1/(x^2*(-a+x))^(1/3)/(-a*d+(-1+d)*x),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} {\left(d^{2}\right)}^{\frac{1}{6}} d \arctan\left(\frac{\sqrt{3} {\left(d^{2}\right)}^{\frac{1}{6}} {\left(2 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d + {\left(d^{2}\right)}^{\frac{1}{3}} x\right)}}{3 \, d x}\right) + 2 \, {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(\frac{{\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d - {\left(d^{2}\right)}^{\frac{1}{3}} x}{x}\right) - {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(\frac{{\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d^{2} + {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} {\left(d^{2}\right)}^{\frac{1}{3}} d x + {\left(d^{2}\right)}^{\frac{2}{3}} x^{2}}{x^{2}}\right)}{2 \, a d^{2}}"," ",0,"1/2*(2*sqrt(3)*(d^2)^(1/6)*d*arctan(1/3*sqrt(3)*(d^2)^(1/6)*(2*(-a*x^2 + x^3)^(1/3)*d + (d^2)^(1/3)*x)/(d*x)) + 2*(d^2)^(2/3)*log(((-a*x^2 + x^3)^(1/3)*d - (d^2)^(1/3)*x)/x) - (d^2)^(2/3)*log(((-a*x^2 + x^3)^(2/3)*d^2 + (-a*x^2 + x^3)^(1/3)*(d^2)^(1/3)*d*x + (d^2)^(2/3)*x^2)/x^2))/(a*d^2)","A",0
1971,1,102,0,0.565805," ","integrate((x^2+2*x+6)^(1/3)/(1+x),x, algorithm=""fricas"")","-\frac{1}{2} \cdot 5^{\frac{1}{3}} \sqrt{3} \arctan\left(\frac{2}{15} \cdot 5^{\frac{2}{3}} \sqrt{3} {\left(x^{2} + 2 \, x + 6\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) - \frac{1}{4} \cdot 5^{\frac{1}{3}} \log\left(5^{\frac{2}{3}} + 5^{\frac{1}{3}} {\left(x^{2} + 2 \, x + 6\right)}^{\frac{1}{3}} + {\left(x^{2} + 2 \, x + 6\right)}^{\frac{2}{3}}\right) + \frac{1}{2} \cdot 5^{\frac{1}{3}} \log\left(-5^{\frac{1}{3}} + {\left(x^{2} + 2 \, x + 6\right)}^{\frac{1}{3}}\right) + \frac{3}{2} \, {\left(x^{2} + 2 \, x + 6\right)}^{\frac{1}{3}}"," ",0,"-1/2*5^(1/3)*sqrt(3)*arctan(2/15*5^(2/3)*sqrt(3)*(x^2 + 2*x + 6)^(1/3) + 1/3*sqrt(3)) - 1/4*5^(1/3)*log(5^(2/3) + 5^(1/3)*(x^2 + 2*x + 6)^(1/3) + (x^2 + 2*x + 6)^(2/3)) + 1/2*5^(1/3)*log(-5^(1/3) + (x^2 + 2*x + 6)^(1/3)) + 3/2*(x^2 + 2*x + 6)^(1/3)","A",0
1972,1,196,0,1.035913," ","integrate((-1+x)/x/(x^3-1)^(1/3),x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{2 \, \sqrt{3} {\left(x^{4} + 2 \, x^{3} + x^{2} - x - 1\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} - 2 \, \sqrt{3} {\left(x^{5} + x^{4} - x^{3} - 2 \, x^{2} - x\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}} + \sqrt{3} {\left(x^{5} + 2 \, x^{4} + 2 \, x^{3} - x^{2} - 2 \, x - 1\right)}}{3 \, {\left(2 \, x^{6} + 3 \, x^{5} - 4 \, x^{3} - 3 \, x^{2} + 1\right)}}\right) + \frac{1}{3} \, \log\left(-x^{3} - x^{2} - {\left(x^{3} - 1\right)}^{\frac{2}{3}} {\left(x + 1\right)} - {\left(x^{3} - 1\right)}^{\frac{1}{3}} {\left(x^{2} + x\right)} + 1\right) - \frac{1}{6} \, \log\left(-x^{3} + {\left(x^{3} - 1\right)}^{\frac{2}{3}} {\left(x + 1\right)} - {\left(x^{3} - 1\right)}^{\frac{1}{3}} {\left(x + 1\right)} + x + 1\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*(2*sqrt(3)*(x^4 + 2*x^3 + x^2 - x - 1)*(x^3 - 1)^(2/3) - 2*sqrt(3)*(x^5 + x^4 - x^3 - 2*x^2 - x)*(x^3 - 1)^(1/3) + sqrt(3)*(x^5 + 2*x^4 + 2*x^3 - x^2 - 2*x - 1))/(2*x^6 + 3*x^5 - 4*x^3 - 3*x^2 + 1)) + 1/3*log(-x^3 - x^2 - (x^3 - 1)^(2/3)*(x + 1) - (x^3 - 1)^(1/3)*(x^2 + x) + 1) - 1/6*log(-x^3 + (x^3 - 1)^(2/3)*(x + 1) - (x^3 - 1)^(1/3)*(x + 1) + x + 1)","A",0
1973,1,266,0,3.152278," ","integrate((x^3-1)^(2/3)*(x^3+1)/x^6/(x^3-2),x, algorithm=""fricas"")","\frac{20 \cdot 4^{\frac{1}{6}} \sqrt{3} x^{5} \arctan\left(\frac{4^{\frac{1}{6}} \sqrt{3} {\left(12 \cdot 4^{\frac{2}{3}} {\left(2 \, x^{7} - 5 \, x^{4} + 2 \, x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} {\left(91 \, x^{9} - 168 \, x^{6} + 84 \, x^{3} - 8\right)} + 12 \, {\left(19 \, x^{8} - 22 \, x^{5} + 4 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}\right)}}{6 \, {\left(53 \, x^{9} - 48 \, x^{6} - 12 \, x^{3} + 8\right)}}\right) + 10 \cdot 4^{\frac{2}{3}} x^{5} \log\left(\frac{6 \cdot 4^{\frac{1}{3}} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 4^{\frac{2}{3}} {\left(x^{3} - 2\right)} - 12 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x}{x^{3} - 2}\right) - 5 \cdot 4^{\frac{2}{3}} x^{5} \log\left(\frac{6 \cdot 4^{\frac{2}{3}} {\left(2 \, x^{4} - x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} {\left(19 \, x^{6} - 22 \, x^{3} + 4\right)} + 6 \, {\left(5 \, x^{5} - 4 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x^{6} - 4 \, x^{3} + 4}\right) + 12 \, {\left(11 \, x^{3} + 4\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{480 \, x^{5}}"," ",0,"1/480*(20*4^(1/6)*sqrt(3)*x^5*arctan(1/6*4^(1/6)*sqrt(3)*(12*4^(2/3)*(2*x^7 - 5*x^4 + 2*x)*(x^3 - 1)^(2/3) + 4^(1/3)*(91*x^9 - 168*x^6 + 84*x^3 - 8) + 12*(19*x^8 - 22*x^5 + 4*x^2)*(x^3 - 1)^(1/3))/(53*x^9 - 48*x^6 - 12*x^3 + 8)) + 10*4^(2/3)*x^5*log((6*4^(1/3)*(x^3 - 1)^(1/3)*x^2 + 4^(2/3)*(x^3 - 2) - 12*(x^3 - 1)^(2/3)*x)/(x^3 - 2)) - 5*4^(2/3)*x^5*log((6*4^(2/3)*(2*x^4 - x)*(x^3 - 1)^(2/3) + 4^(1/3)*(19*x^6 - 22*x^3 + 4) + 6*(5*x^5 - 4*x^2)*(x^3 - 1)^(1/3))/(x^6 - 4*x^3 + 4)) + 12*(11*x^3 + 4)*(x^3 - 1)^(2/3))/x^5","B",0
1974,1,288,0,2.521694," ","integrate((x^2-4)*(x^3+x)^(1/3)/x^4/(x^2+2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} x^{3} \arctan\left(\frac{\sqrt{3} 2^{\frac{1}{6}} {\left(24 \, \sqrt{2} \left(-1\right)^{\frac{1}{3}} {\left(2 \, x^{4} + 5 \, x^{2} + 2\right)} {\left(x^{3} + x\right)}^{\frac{2}{3}} - 12 \cdot 2^{\frac{1}{6}} \left(-1\right)^{\frac{2}{3}} {\left(19 \, x^{5} + 22 \, x^{3} + 4 \, x\right)} {\left(x^{3} + x\right)}^{\frac{1}{3}} - 2^{\frac{5}{6}} {\left(91 \, x^{6} + 168 \, x^{4} + 84 \, x^{2} + 8\right)}\right)}}{6 \, {\left(53 \, x^{6} + 48 \, x^{4} - 12 \, x^{2} - 8\right)}}\right) - 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} x^{3} \log\left(\frac{12 \cdot 2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{3} + x\right)}^{\frac{2}{3}} {\left(2 \, x^{2} + 1\right)} - 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(19 \, x^{4} + 22 \, x^{2} + 4\right)} + 6 \, {\left(5 \, x^{3} + 4 \, x\right)} {\left(x^{3} + x\right)}^{\frac{1}{3}}}{x^{4} + 4 \, x^{2} + 4}\right) + 2 \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} x^{3} \log\left(\frac{3 \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{3} + x\right)}^{\frac{1}{3}} x - 2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{2} + 2\right)} + 6 \, {\left(x^{3} + x\right)}^{\frac{2}{3}}}{x^{2} + 2}\right) - 12 \, {\left(x^{3} + x\right)}^{\frac{1}{3}} {\left(2 \, x^{2} - 1\right)}}{16 \, x^{3}}"," ",0,"1/16*(2*sqrt(3)*2^(2/3)*(-1)^(1/3)*x^3*arctan(1/6*sqrt(3)*2^(1/6)*(24*sqrt(2)*(-1)^(1/3)*(2*x^4 + 5*x^2 + 2)*(x^3 + x)^(2/3) - 12*2^(1/6)*(-1)^(2/3)*(19*x^5 + 22*x^3 + 4*x)*(x^3 + x)^(1/3) - 2^(5/6)*(91*x^6 + 168*x^4 + 84*x^2 + 8))/(53*x^6 + 48*x^4 - 12*x^2 - 8)) - 2^(2/3)*(-1)^(1/3)*x^3*log((12*2^(1/3)*(-1)^(2/3)*(x^3 + x)^(2/3)*(2*x^2 + 1) - 2^(2/3)*(-1)^(1/3)*(19*x^4 + 22*x^2 + 4) + 6*(5*x^3 + 4*x)*(x^3 + x)^(1/3))/(x^4 + 4*x^2 + 4)) + 2*2^(2/3)*(-1)^(1/3)*x^3*log((3*2^(2/3)*(-1)^(1/3)*(x^3 + x)^(1/3)*x - 2^(1/3)*(-1)^(2/3)*(x^2 + 2) + 6*(x^3 + x)^(2/3))/(x^2 + 2)) - 12*(x^3 + x)^(1/3)*(2*x^2 - 1))/x^3","B",0
1975,1,1652,0,0.736538," ","integrate((x^2+2)/(x^2+1)/(x^3-x^2)^(1/3),x, algorithm=""fricas"")","\frac{1}{4} \cdot 2^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) \log\left(-\frac{4 \, {\left(2 \cdot 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)^{2} - 2 \cdot 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - 2^{\frac{1}{3}} x^{2} - 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x - {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + 2^{\frac{5}{6}} \arctan\left(\frac{2 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)^{2} - 2 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) + 2^{\frac{1}{3}} x \sqrt{-\frac{2 \cdot 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)^{2} - 2 \cdot 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - 2^{\frac{1}{3}} x^{2} - 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x - {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - x - 2^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{2 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)^{2} + 2 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - x}\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - \frac{1}{2} \, {\left(\sqrt{3} 2^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - 2^{\frac{5}{6}} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)\right)} \arctan\left(-\frac{32 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)^{4} + 4 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{1}{3}} + 2^{\frac{1}{3}}\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - 4 \, {\left({\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{1}{3}} - 2^{\frac{1}{3}}\right)} + 8 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)^{2} + \sqrt{2} {\left(2 \, {\left(\sqrt{3} 2^{\frac{1}{3}} x - 2^{\frac{1}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)^{2} - 2 \, {\left(\sqrt{3} 2^{\frac{1}{3}} x + 2^{\frac{1}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - \sqrt{3} 2^{\frac{1}{3}} x + 2^{\frac{1}{3}} x\right)} \sqrt{-\frac{2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2^{\frac{2}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)^{2} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2^{\frac{2}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - 2 \cdot 2^{\frac{1}{3}} x^{2} - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2^{\frac{2}{3}} x\right)} - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, \sqrt{3} x + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{1}{3}} - 2^{\frac{1}{3}}\right)} + 4 \, x}{2 \, {\left(8 \, {\left(2 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)^{3} - x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - x\right)}}\right) - \frac{1}{2} \, {\left(\sqrt{3} 2^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) + 2^{\frac{5}{6}} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)\right)} \arctan\left(\frac{32 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)^{4} - 4 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{1}{3}} - 2^{\frac{1}{3}}\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) + 4 \, {\left({\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{1}{3}} + 2^{\frac{1}{3}}\right)} - 8 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)^{2} - \sqrt{2} {\left(2 \, {\left(\sqrt{3} 2^{\frac{1}{3}} x + 2^{\frac{1}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)^{2} - 2 \, {\left(\sqrt{3} 2^{\frac{1}{3}} x - 2^{\frac{1}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - \sqrt{3} 2^{\frac{1}{3}} x - 2^{\frac{1}{3}} x\right)} \sqrt{\frac{2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2^{\frac{2}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)^{2} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2^{\frac{2}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) + 2 \cdot 2^{\frac{1}{3}} x^{2} - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2^{\frac{2}{3}} x\right)} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 2 \, \sqrt{3} x - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{1}{3}} + 2^{\frac{1}{3}}\right)} + 4 \, x}{2 \, {\left(8 \, {\left(2 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)^{3} - x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - x\right)}}\right) + \frac{1}{8} \, {\left(\sqrt{3} 2^{\frac{5}{6}} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - 2^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)\right)} \log\left(\frac{8 \, {\left(2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2^{\frac{2}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)^{2} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2^{\frac{2}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) + 2 \cdot 2^{\frac{1}{3}} x^{2} - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2^{\frac{2}{3}} x\right)} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - \frac{1}{8} \, {\left(\sqrt{3} 2^{\frac{5}{6}} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) + 2^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)\right)} \log\left(-\frac{8 \, {\left(2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2^{\frac{2}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)^{2} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2^{\frac{2}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - 2 \cdot 2^{\frac{1}{3}} x^{2} - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2^{\frac{2}{3}} x\right)} - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) - \log\left(-\frac{x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, \log\left(\frac{x^{2} + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"1/4*2^(5/6)*cos(2/3*arctan(sqrt(2) + 1))*log(-4*(2*2^(2/3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(2) + 1))^2 - 2*2^(2/3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(2) + 1))*sin(2/3*arctan(sqrt(2) + 1)) - 2^(1/3)*x^2 - 2^(2/3)*(x^3 - x^2)^(1/3)*x - (x^3 - x^2)^(2/3))/x^2) + 2^(5/6)*arctan((2*x*cos(2/3*arctan(sqrt(2) + 1))^2 - 2*x*cos(2/3*arctan(sqrt(2) + 1))*sin(2/3*arctan(sqrt(2) + 1)) + 2^(1/3)*x*sqrt(-(2*2^(2/3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(2) + 1))^2 - 2*2^(2/3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(2) + 1))*sin(2/3*arctan(sqrt(2) + 1)) - 2^(1/3)*x^2 - 2^(2/3)*(x^3 - x^2)^(1/3)*x - (x^3 - x^2)^(2/3))/x^2) - x - 2^(1/3)*(x^3 - x^2)^(1/3))/(2*x*cos(2/3*arctan(sqrt(2) + 1))^2 + 2*x*cos(2/3*arctan(sqrt(2) + 1))*sin(2/3*arctan(sqrt(2) + 1)) - x))*sin(2/3*arctan(sqrt(2) + 1)) - 1/2*(sqrt(3)*2^(5/6)*cos(2/3*arctan(sqrt(2) + 1)) - 2^(5/6)*sin(2/3*arctan(sqrt(2) + 1)))*arctan(-1/2*(32*x*cos(2/3*arctan(sqrt(2) + 1))^4 + 4*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(1/3) + 2^(1/3))*cos(2/3*arctan(sqrt(2) + 1))*sin(2/3*arctan(sqrt(2) + 1)) - 4*((x^3 - x^2)^(1/3)*(sqrt(3)*2^(1/3) - 2^(1/3)) + 8*x)*cos(2/3*arctan(sqrt(2) + 1))^2 + sqrt(2)*(2*(sqrt(3)*2^(1/3)*x - 2^(1/3)*x)*cos(2/3*arctan(sqrt(2) + 1))^2 - 2*(sqrt(3)*2^(1/3)*x + 2^(1/3)*x)*cos(2/3*arctan(sqrt(2) + 1))*sin(2/3*arctan(sqrt(2) + 1)) - sqrt(3)*2^(1/3)*x + 2^(1/3)*x)*sqrt(-(2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2^(2/3)*x)*cos(2/3*arctan(sqrt(2) + 1))^2 + 2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + 2^(2/3)*x)*cos(2/3*arctan(sqrt(2) + 1))*sin(2/3*arctan(sqrt(2) + 1)) - 2*2^(1/3)*x^2 - (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2^(2/3)*x) - 2*(x^3 - x^2)^(2/3))/x^2) - 2*sqrt(3)*x + 2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(1/3) - 2^(1/3)) + 4*x)/(8*(2*x*cos(2/3*arctan(sqrt(2) + 1))^3 - x*cos(2/3*arctan(sqrt(2) + 1)))*sin(2/3*arctan(sqrt(2) + 1)) - x)) - 1/2*(sqrt(3)*2^(5/6)*cos(2/3*arctan(sqrt(2) + 1)) + 2^(5/6)*sin(2/3*arctan(sqrt(2) + 1)))*arctan(1/2*(32*x*cos(2/3*arctan(sqrt(2) + 1))^4 - 4*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(1/3) - 2^(1/3))*cos(2/3*arctan(sqrt(2) + 1))*sin(2/3*arctan(sqrt(2) + 1)) + 4*((x^3 - x^2)^(1/3)*(sqrt(3)*2^(1/3) + 2^(1/3)) - 8*x)*cos(2/3*arctan(sqrt(2) + 1))^2 - sqrt(2)*(2*(sqrt(3)*2^(1/3)*x + 2^(1/3)*x)*cos(2/3*arctan(sqrt(2) + 1))^2 - 2*(sqrt(3)*2^(1/3)*x - 2^(1/3)*x)*cos(2/3*arctan(sqrt(2) + 1))*sin(2/3*arctan(sqrt(2) + 1)) - sqrt(3)*2^(1/3)*x - 2^(1/3)*x)*sqrt((2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + 2^(2/3)*x)*cos(2/3*arctan(sqrt(2) + 1))^2 + 2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2^(2/3)*x)*cos(2/3*arctan(sqrt(2) + 1))*sin(2/3*arctan(sqrt(2) + 1)) + 2*2^(1/3)*x^2 - (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + 2^(2/3)*x) + 2*(x^3 - x^2)^(2/3))/x^2) + 2*sqrt(3)*x - 2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(1/3) + 2^(1/3)) + 4*x)/(8*(2*x*cos(2/3*arctan(sqrt(2) + 1))^3 - x*cos(2/3*arctan(sqrt(2) + 1)))*sin(2/3*arctan(sqrt(2) + 1)) - x)) + 1/8*(sqrt(3)*2^(5/6)*sin(2/3*arctan(sqrt(2) + 1)) - 2^(5/6)*cos(2/3*arctan(sqrt(2) + 1)))*log(8*(2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + 2^(2/3)*x)*cos(2/3*arctan(sqrt(2) + 1))^2 + 2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2^(2/3)*x)*cos(2/3*arctan(sqrt(2) + 1))*sin(2/3*arctan(sqrt(2) + 1)) + 2*2^(1/3)*x^2 - (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + 2^(2/3)*x) + 2*(x^3 - x^2)^(2/3))/x^2) - 1/8*(sqrt(3)*2^(5/6)*sin(2/3*arctan(sqrt(2) + 1)) + 2^(5/6)*cos(2/3*arctan(sqrt(2) + 1)))*log(-8*(2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2^(2/3)*x)*cos(2/3*arctan(sqrt(2) + 1))^2 + 2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + 2^(2/3)*x)*cos(2/3*arctan(sqrt(2) + 1))*sin(2/3*arctan(sqrt(2) + 1)) - 2*2^(1/3)*x^2 - (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2^(2/3)*x) - 2*(x^3 - x^2)^(2/3))/x^2) - sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 - x^2)^(1/3))/x) - log(-(x - (x^3 - x^2)^(1/3))/x) + 1/2*log((x^2 + (x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(2/3))/x^2)","B",0
1976,1,363,0,0.628937," ","integrate(x/(a*x^2+b)/(a*x^3-b*x)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(-\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}} \arctan\left(\frac{2 \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \sqrt{a x^{3} - b x} a b \left(-\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}}}{a x^{2} - b}\right) + \frac{1}{8} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(-\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}} \log\left(\frac{a^{2} x^{4} - 6 \, a b x^{2} + b^{2} + 4 \, {\left(4 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{3} b^{3} x \left(-\frac{1}{a^{3} b^{3}}\right)^{\frac{3}{4}} + \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} b x^{2} - a b^{2}\right)} \left(-\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}}\right)} \sqrt{a x^{3} - b x} + 4 \, {\left(a^{3} b^{2} x^{3} - a^{2} b^{3} x\right)} \sqrt{-\frac{1}{a^{3} b^{3}}}}{a^{2} x^{4} + 2 \, a b x^{2} + b^{2}}\right) - \frac{1}{8} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(-\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}} \log\left(\frac{a^{2} x^{4} - 6 \, a b x^{2} + b^{2} - 4 \, {\left(4 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{3} b^{3} x \left(-\frac{1}{a^{3} b^{3}}\right)^{\frac{3}{4}} + \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} b x^{2} - a b^{2}\right)} \left(-\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}}\right)} \sqrt{a x^{3} - b x} + 4 \, {\left(a^{3} b^{2} x^{3} - a^{2} b^{3} x\right)} \sqrt{-\frac{1}{a^{3} b^{3}}}}{a^{2} x^{4} + 2 \, a b x^{2} + b^{2}}\right)"," ",0,"-1/2*(1/4)^(1/4)*(-1/(a^3*b^3))^(1/4)*arctan(2*(1/4)^(1/4)*sqrt(a*x^3 - b*x)*a*b*(-1/(a^3*b^3))^(1/4)/(a*x^2 - b)) + 1/8*(1/4)^(1/4)*(-1/(a^3*b^3))^(1/4)*log((a^2*x^4 - 6*a*b*x^2 + b^2 + 4*(4*(1/4)^(3/4)*a^3*b^3*x*(-1/(a^3*b^3))^(3/4) + (1/4)^(1/4)*(a^2*b*x^2 - a*b^2)*(-1/(a^3*b^3))^(1/4))*sqrt(a*x^3 - b*x) + 4*(a^3*b^2*x^3 - a^2*b^3*x)*sqrt(-1/(a^3*b^3)))/(a^2*x^4 + 2*a*b*x^2 + b^2)) - 1/8*(1/4)^(1/4)*(-1/(a^3*b^3))^(1/4)*log((a^2*x^4 - 6*a*b*x^2 + b^2 - 4*(4*(1/4)^(3/4)*a^3*b^3*x*(-1/(a^3*b^3))^(3/4) + (1/4)^(1/4)*(a^2*b*x^2 - a*b^2)*(-1/(a^3*b^3))^(1/4))*sqrt(a*x^3 - b*x) + 4*(a^3*b^2*x^3 - a^2*b^3*x)*sqrt(-1/(a^3*b^3)))/(a^2*x^4 + 2*a*b*x^2 + b^2))","B",0
1977,1,344,0,0.616170," ","integrate((a*x^2-b)/(a*x^2+b)/(a*x^3-b*x)^(1/2),x, algorithm=""fricas"")","\left(\frac{1}{4}\right)^{\frac{1}{4}} \left(-\frac{1}{a b}\right)^{\frac{1}{4}} \arctan\left(\frac{4 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} \sqrt{a x^{3} - b x} a b \left(-\frac{1}{a b}\right)^{\frac{3}{4}}}{a x^{2} - b}\right) + \frac{1}{4} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(-\frac{1}{a b}\right)^{\frac{1}{4}} \log\left(\frac{a^{2} x^{4} - 6 \, a b x^{2} + b^{2} + 8 \, \sqrt{a x^{3} - b x} {\left(\left(\frac{1}{4}\right)^{\frac{1}{4}} a b x \left(-\frac{1}{a b}\right)^{\frac{1}{4}} + \left(\frac{1}{4}\right)^{\frac{3}{4}} {\left(a^{2} b x^{2} - a b^{2}\right)} \left(-\frac{1}{a b}\right)^{\frac{3}{4}}\right)} - 4 \, {\left(a^{2} b x^{3} - a b^{2} x\right)} \sqrt{-\frac{1}{a b}}}{a^{2} x^{4} + 2 \, a b x^{2} + b^{2}}\right) - \frac{1}{4} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(-\frac{1}{a b}\right)^{\frac{1}{4}} \log\left(\frac{a^{2} x^{4} - 6 \, a b x^{2} + b^{2} - 8 \, \sqrt{a x^{3} - b x} {\left(\left(\frac{1}{4}\right)^{\frac{1}{4}} a b x \left(-\frac{1}{a b}\right)^{\frac{1}{4}} + \left(\frac{1}{4}\right)^{\frac{3}{4}} {\left(a^{2} b x^{2} - a b^{2}\right)} \left(-\frac{1}{a b}\right)^{\frac{3}{4}}\right)} - 4 \, {\left(a^{2} b x^{3} - a b^{2} x\right)} \sqrt{-\frac{1}{a b}}}{a^{2} x^{4} + 2 \, a b x^{2} + b^{2}}\right)"," ",0,"(1/4)^(1/4)*(-1/(a*b))^(1/4)*arctan(4*(1/4)^(3/4)*sqrt(a*x^3 - b*x)*a*b*(-1/(a*b))^(3/4)/(a*x^2 - b)) + 1/4*(1/4)^(1/4)*(-1/(a*b))^(1/4)*log((a^2*x^4 - 6*a*b*x^2 + b^2 + 8*sqrt(a*x^3 - b*x)*((1/4)^(1/4)*a*b*x*(-1/(a*b))^(1/4) + (1/4)^(3/4)*(a^2*b*x^2 - a*b^2)*(-1/(a*b))^(3/4)) - 4*(a^2*b*x^3 - a*b^2*x)*sqrt(-1/(a*b)))/(a^2*x^4 + 2*a*b*x^2 + b^2)) - 1/4*(1/4)^(1/4)*(-1/(a*b))^(1/4)*log((a^2*x^4 - 6*a*b*x^2 + b^2 - 8*sqrt(a*x^3 - b*x)*((1/4)^(1/4)*a*b*x*(-1/(a*b))^(1/4) + (1/4)^(3/4)*(a^2*b*x^2 - a*b^2)*(-1/(a*b))^(3/4)) - 4*(a^2*b*x^3 - a*b^2*x)*sqrt(-1/(a*b)))/(a^2*x^4 + 2*a*b*x^2 + b^2))","B",0
1978,1,363,0,0.634795," ","integrate((a*x^3-b*x)^(1/2)/(a^2*x^4-b^2),x, algorithm=""fricas"")","-\frac{1}{2} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(-\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}} \arctan\left(\frac{2 \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \sqrt{a x^{3} - b x} a b \left(-\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}}}{a x^{2} - b}\right) + \frac{1}{8} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(-\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}} \log\left(\frac{a^{2} x^{4} - 6 \, a b x^{2} + b^{2} + 4 \, {\left(4 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{3} b^{3} x \left(-\frac{1}{a^{3} b^{3}}\right)^{\frac{3}{4}} + \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} b x^{2} - a b^{2}\right)} \left(-\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}}\right)} \sqrt{a x^{3} - b x} + 4 \, {\left(a^{3} b^{2} x^{3} - a^{2} b^{3} x\right)} \sqrt{-\frac{1}{a^{3} b^{3}}}}{a^{2} x^{4} + 2 \, a b x^{2} + b^{2}}\right) - \frac{1}{8} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(-\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}} \log\left(\frac{a^{2} x^{4} - 6 \, a b x^{2} + b^{2} - 4 \, {\left(4 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{3} b^{3} x \left(-\frac{1}{a^{3} b^{3}}\right)^{\frac{3}{4}} + \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} b x^{2} - a b^{2}\right)} \left(-\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}}\right)} \sqrt{a x^{3} - b x} + 4 \, {\left(a^{3} b^{2} x^{3} - a^{2} b^{3} x\right)} \sqrt{-\frac{1}{a^{3} b^{3}}}}{a^{2} x^{4} + 2 \, a b x^{2} + b^{2}}\right)"," ",0,"-1/2*(1/4)^(1/4)*(-1/(a^3*b^3))^(1/4)*arctan(2*(1/4)^(1/4)*sqrt(a*x^3 - b*x)*a*b*(-1/(a^3*b^3))^(1/4)/(a*x^2 - b)) + 1/8*(1/4)^(1/4)*(-1/(a^3*b^3))^(1/4)*log((a^2*x^4 - 6*a*b*x^2 + b^2 + 4*(4*(1/4)^(3/4)*a^3*b^3*x*(-1/(a^3*b^3))^(3/4) + (1/4)^(1/4)*(a^2*b*x^2 - a*b^2)*(-1/(a^3*b^3))^(1/4))*sqrt(a*x^3 - b*x) + 4*(a^3*b^2*x^3 - a^2*b^3*x)*sqrt(-1/(a^3*b^3)))/(a^2*x^4 + 2*a*b*x^2 + b^2)) - 1/8*(1/4)^(1/4)*(-1/(a^3*b^3))^(1/4)*log((a^2*x^4 - 6*a*b*x^2 + b^2 - 4*(4*(1/4)^(3/4)*a^3*b^3*x*(-1/(a^3*b^3))^(3/4) + (1/4)^(1/4)*(a^2*b*x^2 - a*b^2)*(-1/(a^3*b^3))^(1/4))*sqrt(a*x^3 - b*x) + 4*(a^3*b^2*x^3 - a^2*b^3*x)*sqrt(-1/(a^3*b^3)))/(a^2*x^4 + 2*a*b*x^2 + b^2))","B",0
1979,-1,0,0,0.000000," ","integrate((x^5+1)^(2/3)*(2*x^5-3)*(2*x^5+x^3+2)/x^6/(2*x^5-x^3+2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1980,-1,0,0,0.000000," ","integrate((a*x^6+b)/(a*x^6-b)/(a*x^6+a^3*x^3-b)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1981,1,165,0,0.607839," ","integrate((x^2+1)*(x^8+1)*(x^8+x^6+x^4+x^2+1)^(1/2)/x^7/(x^2-1),x, algorithm=""fricas"")","\frac{48 \, \sqrt{5} x^{6} \log\left(-\frac{9 \, x^{8} + 4 \, x^{6} + 14 \, x^{4} - 4 \, \sqrt{5} \sqrt{x^{8} + x^{6} + x^{4} + x^{2} + 1} {\left(x^{4} + 1\right)} + 4 \, x^{2} + 9}{x^{8} - 4 \, x^{6} + 6 \, x^{4} - 4 \, x^{2} + 1}\right) + 195 \, x^{6} \log\left(\frac{2 \, x^{4} + x^{2} + 2 \, \sqrt{x^{8} + x^{6} + x^{4} + x^{2} + 1} + 2}{x^{2}}\right) + 2 \, {\left(8 \, x^{8} + 26 \, x^{6} + 65 \, x^{4} + 26 \, x^{2} + 8\right)} \sqrt{x^{8} + x^{6} + x^{4} + x^{2} + 1}}{96 \, x^{6}}"," ",0,"1/96*(48*sqrt(5)*x^6*log(-(9*x^8 + 4*x^6 + 14*x^4 - 4*sqrt(5)*sqrt(x^8 + x^6 + x^4 + x^2 + 1)*(x^4 + 1) + 4*x^2 + 9)/(x^8 - 4*x^6 + 6*x^4 - 4*x^2 + 1)) + 195*x^6*log((2*x^4 + x^2 + 2*sqrt(x^8 + x^6 + x^4 + x^2 + 1) + 2)/x^2) + 2*(8*x^8 + 26*x^6 + 65*x^4 + 26*x^2 + 8)*sqrt(x^8 + x^6 + x^4 + x^2 + 1))/x^6","A",0
1982,-1,0,0,0.000000," ","integrate((a*x^8+b)/(a*x^4-b*x^2)^(1/4)/(a*x^8-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1983,-1,0,0,0.000000," ","integrate((a*x^8+b)/(a*x^4-b*x^2)^(1/4)/(a*x^8-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1984,1,3304,0,2.408504," ","integrate((x^4-1)*(x+(x^2+1)^(1/2))^(1/2)/(x^4+1),x, algorithm=""fricas"")","\frac{2}{3} \, {\left(2 \, x - \sqrt{x^{2} + 1}\right)} \sqrt{x + \sqrt{x^{2} + 1}} + 2 \, {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} \arctan\left(\frac{1}{32} \, {\left(2 \, {\left(4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + i\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 2 \, \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left({\left(\sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} - \sqrt{2}\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} + \sqrt{2}\right)} + 24 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 6 i + 1\right)} \sqrt{\frac{1}{2} \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 2 \, {\left(\sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \sqrt{2}\right)} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1} + 4 \, x + 4 \, \sqrt{x^{2} + 1}} {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} - \frac{1}{16} \, {\left(2 \, \sqrt{x + \sqrt{x^{2} + 1}} {\left(4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + i\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 2 \, {\left({\left(\sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} - \sqrt{2}\right)} \sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - {\left(\sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} - \sqrt{2}\right)} \sqrt{x + \sqrt{x^{2} + 1}}\right)} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} - {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 24 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 6 i - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}}\right)} {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}}\right) + 4 \, {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} \arctan\left(-\frac{1}{4} \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} + 2 \, {\left(4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + i\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 3\right)} \sqrt{-{\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} + {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 20\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}} + x + \sqrt{x^{2} + 1}} {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} + \frac{1}{4} \, {\left(2 \, \sqrt{x + \sqrt{x^{2} + 1}} {\left(4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + i\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 3\right)} \sqrt{x + \sqrt{x^{2} + 1}}\right)} {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}}\right) - 2 \, {\left(\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} \arctan\left(\frac{1}{32} \, {\left(4 \, \sqrt{x + \sqrt{x^{2} + 1}} {\left(4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + i\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 2 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - 4 \, {\left({\left(\sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} - \sqrt{2}\right)} \sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - {\left(\sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} - \sqrt{2}\right)} \sqrt{x + \sqrt{x^{2} + 1}}\right)} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} - {\left(2 \, {\left(4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + i\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - 2 \, \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left({\left(\sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} - \sqrt{2}\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} + \sqrt{2}\right)} + 24 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 6 i + 1\right)} \sqrt{\frac{1}{2} \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - 2 \, {\left(\sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \sqrt{2}\right)} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1} + 4 \, x + 4 \, \sqrt{x^{2} + 1}} - 2 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 24 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 6 i - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}}\right)} {\left(\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}}\right) - 4 \, {\left(-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} \arctan\left(-\frac{1}{4} \, {\left({\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} - 3 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 152 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 38 i + 34\right)} \sqrt{{\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 168 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 42 i + 19\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}} + x + \sqrt{x^{2} + 1}} - {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} - 3 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 152 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 38 i + 34\right)} \sqrt{x + \sqrt{x^{2} + 1}}\right)} {\left(-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}}\right) - \frac{1}{2} \, {\left(\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} \log\left(\frac{1}{2} \, {\left(2 \, \sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 4\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - 2\right)} {\left(\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{3}{4}} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) + \frac{1}{2} \, {\left(\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} \log\left(-\frac{1}{2} \, {\left(2 \, \sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 4\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - 2\right)} {\left(\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{3}{4}} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) + \frac{1}{2} \, {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} \log\left(\frac{1}{2} \, {\left(2 \, \sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 4\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 2\right)} {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{3}{4}} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) - \frac{1}{2} \, {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} \log\left(-\frac{1}{2} \, {\left(2 \, \sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 4\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 2\right)} {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{3}{4}} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) + {\left(-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} \log\left(4 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 19\right)} {\left(-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{3}{4}} + \sqrt{x + \sqrt{x^{2} + 1}}\right) - {\left(-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} \log\left(-4 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 19\right)} {\left(-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{3}{4}} + \sqrt{x + \sqrt{x^{2} + 1}}\right) - {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} \log\left(4 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} + {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 4\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 21\right)} {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{3}{4}} + \sqrt{x + \sqrt{x^{2} + 1}}\right) + {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} \log\left(-4 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} + {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 4\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 21\right)} {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{3}{4}} + \sqrt{x + \sqrt{x^{2} + 1}}\right)"," ",0,"2/3*(2*x - sqrt(x^2 + 1))*sqrt(x + sqrt(x^2 + 1)) + 2*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)*arctan(1/32*(2*(4*sqrt(1/16*I - 1/16) + I)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - (8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 2*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*((sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) - sqrt(2))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) + sqrt(2)) + 24*sqrt(1/16*I - 1/16) + 6*I + 1)*sqrt(1/2*((8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 2*(sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - sqrt(2))*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 8*sqrt(1/16*I - 1/16) + 2*I + 1)*sqrt(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1) + 4*x + 4*sqrt(x^2 + 1))*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4) - 1/16*(2*sqrt(x + sqrt(x^2 + 1))*(4*sqrt(1/16*I - 1/16) + I)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 1)*sqrt(x + sqrt(x^2 + 1))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 2*((sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) - sqrt(2))*sqrt(x + sqrt(x^2 + 1))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - (sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) - sqrt(2))*sqrt(x + sqrt(x^2 + 1)))*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) - ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 24*sqrt(1/16*I - 1/16) - 6*I - 1)*sqrt(x + sqrt(x^2 + 1)))*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)) + 4*(-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(1/4)*arctan(-1/4*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 + 2*(4*sqrt(1/16*I - 1/16) + I)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 176*sqrt(1/16*I - 1/16) + 44*I + 3)*sqrt(-((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 + (8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 176*sqrt(1/16*I - 1/16) + 44*I + 20)*sqrt(-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16) + x + sqrt(x^2 + 1))*(-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(1/4) + 1/4*(2*sqrt(x + sqrt(x^2 + 1))*(4*sqrt(1/16*I - 1/16) + I)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 1)*sqrt(x + sqrt(x^2 + 1))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 176*sqrt(1/16*I - 1/16) + 44*I + 3)*sqrt(x + sqrt(x^2 + 1)))*(-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(1/4)) - 2*(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)*arctan(1/32*(4*sqrt(x + sqrt(x^2 + 1))*(4*sqrt(1/16*I - 1/16) + I)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 2*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 1)*sqrt(x + sqrt(x^2 + 1))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 4*((sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) - sqrt(2))*sqrt(x + sqrt(x^2 + 1))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - (sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) - sqrt(2))*sqrt(x + sqrt(x^2 + 1)))*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) - (2*(4*sqrt(1/16*I - 1/16) + I)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - (8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 2*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*((sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) - sqrt(2))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) + sqrt(2)) + 24*sqrt(1/16*I - 1/16) + 6*I + 1)*sqrt(1/2*((8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 2*(sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - sqrt(2))*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 8*sqrt(1/16*I - 1/16) + 2*I + 1)*sqrt(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1) + 4*x + 4*sqrt(x^2 + 1)) - 2*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 24*sqrt(1/16*I - 1/16) - 6*I - 1)*sqrt(x + sqrt(x^2 + 1)))*(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)) - 4*(-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16)^(1/4)*arctan(-1/4*(((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 - 3*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 152*sqrt(1/16*I - 1/16) + 38*I + 34)*sqrt(((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 168*sqrt(1/16*I - 1/16) + 42*I + 19)*sqrt(-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16) + x + sqrt(x^2 + 1)) - ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 - 3*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 152*sqrt(1/16*I - 1/16) + 38*I + 34)*sqrt(x + sqrt(x^2 + 1)))*(-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16)^(1/4)) - 1/2*(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)*log(1/2*(2*sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - (8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 4)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 2)*(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(3/4) + 2*sqrt(x + sqrt(x^2 + 1))) + 1/2*(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)*log(-1/2*(2*sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - (8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 4)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 2)*(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(3/4) + 2*sqrt(x + sqrt(x^2 + 1))) + 1/2*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)*log(1/2*(2*sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + (8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 4)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 2)*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(3/4) + 2*sqrt(x + sqrt(x^2 + 1))) - 1/2*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)*log(-1/2*(2*sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + (8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 4)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 2)*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(3/4) + 2*sqrt(x + sqrt(x^2 + 1))) + (-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16)^(1/4)*log(4*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 176*sqrt(1/16*I - 1/16) + 44*I + 19)*(-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16)^(3/4) + sqrt(x + sqrt(x^2 + 1))) - (-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16)^(1/4)*log(-4*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 176*sqrt(1/16*I - 1/16) + 44*I + 19)*(-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16)^(3/4) + sqrt(x + sqrt(x^2 + 1))) - (-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(1/4)*log(4*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 + (8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 4)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 176*sqrt(1/16*I - 1/16) + 44*I + 21)*(-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(3/4) + sqrt(x + sqrt(x^2 + 1))) + (-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(1/4)*log(-4*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 + (8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 4)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 176*sqrt(1/16*I - 1/16) + 44*I + 21)*(-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(3/4) + sqrt(x + sqrt(x^2 + 1)))","B",0
1985,1,3304,0,2.366220," ","integrate((x^4-1)*(x+(x^2+1)^(1/2))^(1/2)/(x^4+1),x, algorithm=""fricas"")","\frac{2}{3} \, {\left(2 \, x - \sqrt{x^{2} + 1}\right)} \sqrt{x + \sqrt{x^{2} + 1}} + 2 \, {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} \arctan\left(\frac{1}{32} \, {\left(2 \, {\left(4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + i\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 2 \, \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left({\left(\sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} - \sqrt{2}\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} + \sqrt{2}\right)} + 24 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 6 i + 1\right)} \sqrt{\frac{1}{2} \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 2 \, {\left(\sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \sqrt{2}\right)} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1} + 4 \, x + 4 \, \sqrt{x^{2} + 1}} {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} - \frac{1}{16} \, {\left(2 \, \sqrt{x + \sqrt{x^{2} + 1}} {\left(4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + i\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 2 \, {\left({\left(\sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} - \sqrt{2}\right)} \sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - {\left(\sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} - \sqrt{2}\right)} \sqrt{x + \sqrt{x^{2} + 1}}\right)} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} - {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 24 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 6 i - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}}\right)} {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}}\right) + 4 \, {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} \arctan\left(-\frac{1}{4} \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} + 2 \, {\left(4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + i\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 3\right)} \sqrt{-{\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} + {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 20\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}} + x + \sqrt{x^{2} + 1}} {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} + \frac{1}{4} \, {\left(2 \, \sqrt{x + \sqrt{x^{2} + 1}} {\left(4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + i\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 3\right)} \sqrt{x + \sqrt{x^{2} + 1}}\right)} {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}}\right) - 2 \, {\left(\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} \arctan\left(\frac{1}{32} \, {\left(4 \, \sqrt{x + \sqrt{x^{2} + 1}} {\left(4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + i\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 2 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - 4 \, {\left({\left(\sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} - \sqrt{2}\right)} \sqrt{x + \sqrt{x^{2} + 1}} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - {\left(\sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} - \sqrt{2}\right)} \sqrt{x + \sqrt{x^{2} + 1}}\right)} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} - {\left(2 \, {\left(4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + i\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - 2 \, \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left({\left(\sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} - \sqrt{2}\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} + \sqrt{2}\right)} + 24 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 6 i + 1\right)} \sqrt{\frac{1}{2} \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - 2 \, {\left(\sqrt{2} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \sqrt{2}\right)} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1} + 4 \, x + 4 \, \sqrt{x^{2} + 1}} - 2 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 24 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 6 i - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}}\right)} {\left(\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}}\right) - 4 \, {\left(-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} \arctan\left(-\frac{1}{4} \, {\left({\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} - 3 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 152 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 38 i + 34\right)} \sqrt{{\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 168 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 42 i + 19\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}} + x + \sqrt{x^{2} + 1}} - {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} - 3 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 152 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 38 i + 34\right)} \sqrt{x + \sqrt{x^{2} + 1}}\right)} {\left(-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}}\right) - \frac{1}{2} \, {\left(\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} \log\left(\frac{1}{2} \, {\left(2 \, \sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 4\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - 2\right)} {\left(\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{3}{4}} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) + \frac{1}{2} \, {\left(\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} \log\left(-\frac{1}{2} \, {\left(2 \, \sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 4\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - 2\right)} {\left(\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{3}{4}} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) + \frac{1}{2} \, {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} \log\left(\frac{1}{2} \, {\left(2 \, \sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 4\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 2\right)} {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{3}{4}} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) - \frac{1}{2} \, {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{1}{4}} \log\left(-\frac{1}{2} \, {\left(2 \, \sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 4\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 2\right)} {\left(-\sqrt{2} \sqrt{-\frac{3}{8} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - \frac{1}{4} \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 3\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} - \frac{3}{8} \, {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} + 8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i - 8} + 4 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 4 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 1\right)}^{\frac{3}{4}} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) + {\left(-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} \log\left(4 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 19\right)} {\left(-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{3}{4}} + \sqrt{x + \sqrt{x^{2} + 1}}\right) - {\left(-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} \log\left(-4 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 19\right)} {\left(-\frac{1}{2} \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{3}{4}} + \sqrt{x + \sqrt{x^{2} + 1}}\right) - {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} \log\left(4 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} + {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 4\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 21\right)} {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{3}{4}} + \sqrt{x + \sqrt{x^{2} + 1}}\right) + {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{1}{4}} \log\left(-4 \, {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{3} + {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)}^{2} - 4 \, {\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} + {\left({\left(8 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 2 i + 1\right)}^{2} - 32 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} - 8 i - 4\right)} {\left(8 \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} - 2 i + 1\right)} + 176 \, \sqrt{\frac{1}{16} i - \frac{1}{16}} + 44 i + 21\right)} {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{16} i - \frac{1}{16}} + \frac{1}{8} i - \frac{1}{16}\right)}^{\frac{3}{4}} + \sqrt{x + \sqrt{x^{2} + 1}}\right)"," ",0,"2/3*(2*x - sqrt(x^2 + 1))*sqrt(x + sqrt(x^2 + 1)) + 2*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)*arctan(1/32*(2*(4*sqrt(1/16*I - 1/16) + I)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - (8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 2*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*((sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) - sqrt(2))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) + sqrt(2)) + 24*sqrt(1/16*I - 1/16) + 6*I + 1)*sqrt(1/2*((8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 2*(sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - sqrt(2))*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 8*sqrt(1/16*I - 1/16) + 2*I + 1)*sqrt(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1) + 4*x + 4*sqrt(x^2 + 1))*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4) - 1/16*(2*sqrt(x + sqrt(x^2 + 1))*(4*sqrt(1/16*I - 1/16) + I)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 1)*sqrt(x + sqrt(x^2 + 1))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 2*((sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) - sqrt(2))*sqrt(x + sqrt(x^2 + 1))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - (sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) - sqrt(2))*sqrt(x + sqrt(x^2 + 1)))*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) - ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 24*sqrt(1/16*I - 1/16) - 6*I - 1)*sqrt(x + sqrt(x^2 + 1)))*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)) + 4*(-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(1/4)*arctan(-1/4*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 + 2*(4*sqrt(1/16*I - 1/16) + I)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 176*sqrt(1/16*I - 1/16) + 44*I + 3)*sqrt(-((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 + (8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 176*sqrt(1/16*I - 1/16) + 44*I + 20)*sqrt(-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16) + x + sqrt(x^2 + 1))*(-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(1/4) + 1/4*(2*sqrt(x + sqrt(x^2 + 1))*(4*sqrt(1/16*I - 1/16) + I)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 1)*sqrt(x + sqrt(x^2 + 1))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 176*sqrt(1/16*I - 1/16) + 44*I + 3)*sqrt(x + sqrt(x^2 + 1)))*(-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(1/4)) - 2*(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)*arctan(1/32*(4*sqrt(x + sqrt(x^2 + 1))*(4*sqrt(1/16*I - 1/16) + I)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 2*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 1)*sqrt(x + sqrt(x^2 + 1))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 4*((sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) - sqrt(2))*sqrt(x + sqrt(x^2 + 1))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - (sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) - sqrt(2))*sqrt(x + sqrt(x^2 + 1)))*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) - (2*(4*sqrt(1/16*I - 1/16) + I)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - (8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 2*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*((sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) - sqrt(2))*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1) + sqrt(2)) + 24*sqrt(1/16*I - 1/16) + 6*I + 1)*sqrt(1/2*((8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 2*(sqrt(2)*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - sqrt(2))*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 8*sqrt(1/16*I - 1/16) + 2*I + 1)*sqrt(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1) + 4*x + 4*sqrt(x^2 + 1)) - 2*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 24*sqrt(1/16*I - 1/16) - 6*I - 1)*sqrt(x + sqrt(x^2 + 1)))*(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)) - 4*(-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16)^(1/4)*arctan(-1/4*(((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 - 3*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 152*sqrt(1/16*I - 1/16) + 38*I + 34)*sqrt(((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 168*sqrt(1/16*I - 1/16) + 42*I + 19)*sqrt(-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16) + x + sqrt(x^2 + 1)) - ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 - 3*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 152*sqrt(1/16*I - 1/16) + 38*I + 34)*sqrt(x + sqrt(x^2 + 1)))*(-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16)^(1/4)) - 1/2*(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)*log(1/2*(2*sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - (8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 4)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 2)*(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(3/4) + 2*sqrt(x + sqrt(x^2 + 1))) + 1/2*(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)*log(-1/2*(2*sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - (8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 4)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 2)*(sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(3/4) + 2*sqrt(x + sqrt(x^2 + 1))) + 1/2*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)*log(1/2*(2*sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + (8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 4)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 2)*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(3/4) + 2*sqrt(x + sqrt(x^2 + 1))) - 1/2*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(1/4)*log(-1/2*(2*sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8)*(8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + (8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 4)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 2)*(-sqrt(2)*sqrt(-3/8*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 1/4*(8*sqrt(1/16*I - 1/16) + 2*I - 3)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) - 3/8*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 + 8*sqrt(1/16*I - 1/16) + 2*I - 8) + 4*sqrt(1/16*I - 1/16) + 4*sqrt(-1/16*I - 1/16) - 1)^(3/4) + 2*sqrt(x + sqrt(x^2 + 1))) + (-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16)^(1/4)*log(4*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 176*sqrt(1/16*I - 1/16) + 44*I + 19)*(-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16)^(3/4) + sqrt(x + sqrt(x^2 + 1))) - (-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16)^(1/4)*log(-4*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + 176*sqrt(1/16*I - 1/16) + 44*I + 19)*(-1/2*sqrt(1/16*I - 1/16) - 1/8*I - 1/16)^(3/4) + sqrt(x + sqrt(x^2 + 1))) - (-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(1/4)*log(4*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 + (8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 4)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 176*sqrt(1/16*I - 1/16) + 44*I + 21)*(-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(3/4) + sqrt(x + sqrt(x^2 + 1))) + (-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(1/4)*log(-4*((8*sqrt(1/16*I - 1/16) + 2*I + 1)^3 + (8*sqrt(1/16*I - 1/16) + 2*I + 1)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1)^2 - 4*(8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 + ((8*sqrt(1/16*I - 1/16) + 2*I + 1)^2 - 32*sqrt(1/16*I - 1/16) - 8*I - 4)*(8*sqrt(-1/16*I - 1/16) - 2*I + 1) + 176*sqrt(1/16*I - 1/16) + 44*I + 21)*(-1/2*sqrt(-1/16*I - 1/16) + 1/8*I - 1/16)^(3/4) + sqrt(x + sqrt(x^2 + 1)))","B",0
1986,1,128,0,0.586464," ","integrate(x^2*(x^2+x)^(1/2)/(x^2+x*(x^2+x)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{1575 \, \sqrt{2} x \log\left(\frac{4 \, x^{2} + 2 \, \sqrt{x^{2} + \sqrt{x^{2} + x} x} {\left(\sqrt{2} x + \sqrt{2} \sqrt{x^{2} + x}\right)} + 4 \, \sqrt{x^{2} + x} x + x}{x}\right) + 4 \, {\left(3072 \, x^{4} + 3968 \, x^{3} - 120 \, x^{2} - {\left(3072 \, x^{3} + 640 \, x^{2} - 840 \, x + 1575\right)} \sqrt{x^{2} + x} + 525 \, x\right)} \sqrt{x^{2} + \sqrt{x^{2} + x} x}}{43008 \, x}"," ",0,"1/43008*(1575*sqrt(2)*x*log((4*x^2 + 2*sqrt(x^2 + sqrt(x^2 + x)*x)*(sqrt(2)*x + sqrt(2)*sqrt(x^2 + x)) + 4*sqrt(x^2 + x)*x + x)/x) + 4*(3072*x^4 + 3968*x^3 - 120*x^2 - (3072*x^3 + 640*x^2 - 840*x + 1575)*sqrt(x^2 + x) + 525*x)*sqrt(x^2 + sqrt(x^2 + x)*x))/x","A",0
1987,1,1800,0,0.716452," ","integrate(1/(c*x^2+d)/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","-2 \, \left(-\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - b^{2} c + 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left({\left(b^{4} c^{4} d^{3} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - a^{2} c d^{2}\right)} \sqrt{a^{3} x + \sqrt{a^{2} x^{2} + b^{2}} a^{2} - {\left(2 \, a^{2} b^{4} c^{3} d^{3} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + a^{2} b^{2} c d - 2 \, a^{4} d^{2}\right)} \sqrt{-\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - b^{2} c + 2 \, a^{2} d}{b^{4} c^{3} d^{2}}}} \sqrt{-\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - b^{2} c + 2 \, a^{2} d}{b^{4} c^{3} d^{2}}} - {\left(a b^{4} c^{4} d^{3} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - a^{3} c d^{2}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} \sqrt{-\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - b^{2} c + 2 \, a^{2} d}{b^{4} c^{3} d^{2}}}\right)} \left(-\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - b^{2} c + 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{1}{4}}}{a^{2}}\right) + 2 \, \left(\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + b^{2} c - 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(b^{4} c^{4} d^{3} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + a^{2} c d^{2}\right)} \sqrt{a^{3} x + \sqrt{a^{2} x^{2} + b^{2}} a^{2} + {\left(2 \, a^{2} b^{4} c^{3} d^{3} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - a^{2} b^{2} c d + 2 \, a^{4} d^{2}\right)} \sqrt{\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + b^{2} c - 2 \, a^{2} d}{b^{4} c^{3} d^{2}}}} \left(\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + b^{2} c - 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{3}{4}} - {\left(a b^{4} c^{4} d^{3} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + a^{3} c d^{2}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} \left(\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + b^{2} c - 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{3}{4}}}{a^{2}}\right) + \frac{1}{2} \, \left(\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + b^{2} c - 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{1}{4}} \log\left(\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} a + {\left(b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + a^{2} d\right)} \left(\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + b^{2} c - 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{1}{4}}\right) - \frac{1}{2} \, \left(\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + b^{2} c - 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{1}{4}} \log\left(\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} a - {\left(b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + a^{2} d\right)} \left(\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + b^{2} c - 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{1}{4}}\right) - \frac{1}{2} \, \left(-\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - b^{2} c + 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{1}{4}} \log\left(\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} a + {\left(b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - a^{2} d\right)} \left(-\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - b^{2} c + 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{1}{4}}\right) + \frac{1}{2} \, \left(-\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - b^{2} c + 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{1}{4}} \log\left(\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} a - {\left(b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - a^{2} d\right)} \left(-\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - b^{2} c + 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{1}{4}}\right)"," ",0,"-2*(-(2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - b^2*c + 2*a^2*d)/(b^4*c^3*d^2))^(1/4)*arctan(((b^4*c^4*d^3*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - a^2*c*d^2)*sqrt(a^3*x + sqrt(a^2*x^2 + b^2)*a^2 - (2*a^2*b^4*c^3*d^3*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + a^2*b^2*c*d - 2*a^4*d^2)*sqrt(-(2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - b^2*c + 2*a^2*d)/(b^4*c^3*d^2)))*sqrt(-(2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - b^2*c + 2*a^2*d)/(b^4*c^3*d^2)) - (a*b^4*c^4*d^3*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - a^3*c*d^2)*sqrt(a*x + sqrt(a^2*x^2 + b^2))*sqrt(-(2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - b^2*c + 2*a^2*d)/(b^4*c^3*d^2)))*(-(2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - b^2*c + 2*a^2*d)/(b^4*c^3*d^2))^(1/4)/a^2) + 2*((2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + b^2*c - 2*a^2*d)/(b^4*c^3*d^2))^(1/4)*arctan(((b^4*c^4*d^3*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + a^2*c*d^2)*sqrt(a^3*x + sqrt(a^2*x^2 + b^2)*a^2 + (2*a^2*b^4*c^3*d^3*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - a^2*b^2*c*d + 2*a^4*d^2)*sqrt((2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + b^2*c - 2*a^2*d)/(b^4*c^3*d^2)))*((2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + b^2*c - 2*a^2*d)/(b^4*c^3*d^2))^(3/4) - (a*b^4*c^4*d^3*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + a^3*c*d^2)*sqrt(a*x + sqrt(a^2*x^2 + b^2))*((2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + b^2*c - 2*a^2*d)/(b^4*c^3*d^2))^(3/4))/a^2) + 1/2*((2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + b^2*c - 2*a^2*d)/(b^4*c^3*d^2))^(1/4)*log(sqrt(a*x + sqrt(a^2*x^2 + b^2))*a + (b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + a^2*d)*((2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + b^2*c - 2*a^2*d)/(b^4*c^3*d^2))^(1/4)) - 1/2*((2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + b^2*c - 2*a^2*d)/(b^4*c^3*d^2))^(1/4)*log(sqrt(a*x + sqrt(a^2*x^2 + b^2))*a - (b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + a^2*d)*((2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + b^2*c - 2*a^2*d)/(b^4*c^3*d^2))^(1/4)) - 1/2*(-(2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - b^2*c + 2*a^2*d)/(b^4*c^3*d^2))^(1/4)*log(sqrt(a*x + sqrt(a^2*x^2 + b^2))*a + (b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - a^2*d)*(-(2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - b^2*c + 2*a^2*d)/(b^4*c^3*d^2))^(1/4)) + 1/2*(-(2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - b^2*c + 2*a^2*d)/(b^4*c^3*d^2))^(1/4)*log(sqrt(a*x + sqrt(a^2*x^2 + b^2))*a - (b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - a^2*d)*(-(2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - b^2*c + 2*a^2*d)/(b^4*c^3*d^2))^(1/4))","B",0
1988,1,1800,0,0.763948," ","integrate(1/(c*x^2+d)/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","-2 \, \left(-\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - b^{2} c + 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left({\left(b^{4} c^{4} d^{3} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - a^{2} c d^{2}\right)} \sqrt{a^{3} x + \sqrt{a^{2} x^{2} + b^{2}} a^{2} - {\left(2 \, a^{2} b^{4} c^{3} d^{3} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + a^{2} b^{2} c d - 2 \, a^{4} d^{2}\right)} \sqrt{-\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - b^{2} c + 2 \, a^{2} d}{b^{4} c^{3} d^{2}}}} \sqrt{-\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - b^{2} c + 2 \, a^{2} d}{b^{4} c^{3} d^{2}}} - {\left(a b^{4} c^{4} d^{3} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - a^{3} c d^{2}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} \sqrt{-\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - b^{2} c + 2 \, a^{2} d}{b^{4} c^{3} d^{2}}}\right)} \left(-\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - b^{2} c + 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{1}{4}}}{a^{2}}\right) + 2 \, \left(\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + b^{2} c - 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(b^{4} c^{4} d^{3} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + a^{2} c d^{2}\right)} \sqrt{a^{3} x + \sqrt{a^{2} x^{2} + b^{2}} a^{2} + {\left(2 \, a^{2} b^{4} c^{3} d^{3} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - a^{2} b^{2} c d + 2 \, a^{4} d^{2}\right)} \sqrt{\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + b^{2} c - 2 \, a^{2} d}{b^{4} c^{3} d^{2}}}} \left(\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + b^{2} c - 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{3}{4}} - {\left(a b^{4} c^{4} d^{3} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + a^{3} c d^{2}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} \left(\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + b^{2} c - 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{3}{4}}}{a^{2}}\right) + \frac{1}{2} \, \left(\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + b^{2} c - 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{1}{4}} \log\left(\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} a + {\left(b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + a^{2} d\right)} \left(\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + b^{2} c - 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{1}{4}}\right) - \frac{1}{2} \, \left(\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + b^{2} c - 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{1}{4}} \log\left(\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} a - {\left(b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + a^{2} d\right)} \left(\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} + b^{2} c - 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{1}{4}}\right) - \frac{1}{2} \, \left(-\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - b^{2} c + 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{1}{4}} \log\left(\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} a + {\left(b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - a^{2} d\right)} \left(-\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - b^{2} c + 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{1}{4}}\right) + \frac{1}{2} \, \left(-\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - b^{2} c + 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{1}{4}} \log\left(\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} a - {\left(b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - a^{2} d\right)} \left(-\frac{2 \, b^{4} c^{3} d^{2} \sqrt{-\frac{a^{2} b^{2} c - a^{4} d}{b^{8} c^{6} d^{3}}} - b^{2} c + 2 \, a^{2} d}{b^{4} c^{3} d^{2}}\right)^{\frac{1}{4}}\right)"," ",0,"-2*(-(2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - b^2*c + 2*a^2*d)/(b^4*c^3*d^2))^(1/4)*arctan(((b^4*c^4*d^3*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - a^2*c*d^2)*sqrt(a^3*x + sqrt(a^2*x^2 + b^2)*a^2 - (2*a^2*b^4*c^3*d^3*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + a^2*b^2*c*d - 2*a^4*d^2)*sqrt(-(2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - b^2*c + 2*a^2*d)/(b^4*c^3*d^2)))*sqrt(-(2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - b^2*c + 2*a^2*d)/(b^4*c^3*d^2)) - (a*b^4*c^4*d^3*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - a^3*c*d^2)*sqrt(a*x + sqrt(a^2*x^2 + b^2))*sqrt(-(2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - b^2*c + 2*a^2*d)/(b^4*c^3*d^2)))*(-(2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - b^2*c + 2*a^2*d)/(b^4*c^3*d^2))^(1/4)/a^2) + 2*((2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + b^2*c - 2*a^2*d)/(b^4*c^3*d^2))^(1/4)*arctan(((b^4*c^4*d^3*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + a^2*c*d^2)*sqrt(a^3*x + sqrt(a^2*x^2 + b^2)*a^2 + (2*a^2*b^4*c^3*d^3*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - a^2*b^2*c*d + 2*a^4*d^2)*sqrt((2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + b^2*c - 2*a^2*d)/(b^4*c^3*d^2)))*((2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + b^2*c - 2*a^2*d)/(b^4*c^3*d^2))^(3/4) - (a*b^4*c^4*d^3*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + a^3*c*d^2)*sqrt(a*x + sqrt(a^2*x^2 + b^2))*((2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + b^2*c - 2*a^2*d)/(b^4*c^3*d^2))^(3/4))/a^2) + 1/2*((2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + b^2*c - 2*a^2*d)/(b^4*c^3*d^2))^(1/4)*log(sqrt(a*x + sqrt(a^2*x^2 + b^2))*a + (b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + a^2*d)*((2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + b^2*c - 2*a^2*d)/(b^4*c^3*d^2))^(1/4)) - 1/2*((2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + b^2*c - 2*a^2*d)/(b^4*c^3*d^2))^(1/4)*log(sqrt(a*x + sqrt(a^2*x^2 + b^2))*a - (b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + a^2*d)*((2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) + b^2*c - 2*a^2*d)/(b^4*c^3*d^2))^(1/4)) - 1/2*(-(2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - b^2*c + 2*a^2*d)/(b^4*c^3*d^2))^(1/4)*log(sqrt(a*x + sqrt(a^2*x^2 + b^2))*a + (b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - a^2*d)*(-(2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - b^2*c + 2*a^2*d)/(b^4*c^3*d^2))^(1/4)) + 1/2*(-(2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - b^2*c + 2*a^2*d)/(b^4*c^3*d^2))^(1/4)*log(sqrt(a*x + sqrt(a^2*x^2 + b^2))*a - (b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - a^2*d)*(-(2*b^4*c^3*d^2*sqrt(-(a^2*b^2*c - a^4*d)/(b^8*c^6*d^3)) - b^2*c + 2*a^2*d)/(b^4*c^3*d^2))^(1/4))","B",0
1989,1,1973,0,0.783489," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)/(x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} \arctan\left(\frac{1}{2} \, \sqrt{\sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \, \sqrt{\sqrt{2} + 2} + 2} {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} + \frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} - \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)}\right) + \frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} \arctan\left(\frac{1}{2} \, \sqrt{-\sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \, \sqrt{\sqrt{2} + 2} + 2} {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} + \frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} + \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)}\right) - \frac{1}{8} \, {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + \sqrt{2}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \log\left(\frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{\sqrt{2} + 2} + 1\right) + \frac{1}{8} \, {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + \sqrt{2}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \log\left(-\frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{\sqrt{2} + 2} + 1\right) - \frac{1}{8} \cdot 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2^{\frac{1}{4}}\right)} \log\left(\frac{1}{2} \cdot 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{x + \sqrt{x^{2} + 1}} + 2^{\frac{1}{4}} + 1\right) + \frac{1}{8} \cdot 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2^{\frac{1}{4}}\right)} \log\left(-\frac{1}{2} \cdot 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{x + \sqrt{x^{2} + 1}} + 2^{\frac{1}{4}} + 1\right) + \frac{1}{2} \cdot 2^{\frac{3}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{2} - 1} \arctan\left(\frac{1}{2} \cdot 2^{\frac{3}{8}} \sqrt{2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \cdot 2^{\frac{1}{4}} + 2} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} - \frac{1}{2} \cdot 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} - {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right) + \frac{1}{2} \cdot 2^{\frac{3}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{2} - 1} \arctan\left(\frac{1}{2} \cdot 2^{\frac{3}{8}} \sqrt{-2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \cdot 2^{\frac{1}{4}} + 2} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} - \frac{1}{2} \cdot 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right) - \sqrt{2} \sqrt{\sqrt{\sqrt{2} + 1} - 1} \arctan\left(\frac{1}{2} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{\sqrt{2} + 1}} \sqrt{\sqrt{\sqrt{2} + 1} - 1} - \frac{1}{2} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} \sqrt{\sqrt{\sqrt{2} + 1} - 1}\right) + \frac{1}{4} \, \sqrt{2} \sqrt{\sqrt{\sqrt{2} + 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{\sqrt{\sqrt{2} + 1} + 1}\right) - \frac{1}{4} \, \sqrt{2} \sqrt{\sqrt{\sqrt{2} + 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{\sqrt{\sqrt{2} + 1} + 1}\right) - \frac{1}{4} \, \sqrt{2} \sqrt{\sqrt{\sqrt{2} - 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{\sqrt{\sqrt{2} - 1} + 1}\right) + \frac{1}{4} \, \sqrt{2} \sqrt{\sqrt{\sqrt{2} - 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{\sqrt{\sqrt{2} - 1} + 1}\right) - \frac{1}{4} \, \sqrt{2} \sqrt{-\sqrt{\sqrt{2} - 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{-\sqrt{\sqrt{2} - 1} + 1}\right) + \frac{1}{4} \, \sqrt{2} \sqrt{-\sqrt{\sqrt{2} - 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{-\sqrt{\sqrt{2} - 1} + 1}\right)"," ",0,"1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1)*arctan(1/2*sqrt(sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*sqrt(sqrt(2) + 2) + 2)*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4) + 1/2*((3*sqrt(2) - 4)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (3*sqrt(2) - 4)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) - sqrt(sqrt(2) + 1)*(sqrt(2) - 1)) + 1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1)*arctan(1/2*sqrt(-sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*sqrt(sqrt(2) + 2) + 2)*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4) + 1/2*((3*sqrt(2) - 4)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (3*sqrt(2) - 4)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) + sqrt(sqrt(2) + 1)*(sqrt(2) - 1)) - 1/8*(sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + sqrt(2))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(1/4)*log(1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(x + sqrt(x^2 + 1)) + sqrt(sqrt(2) + 2) + 1) + 1/8*(sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + sqrt(2))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(1/4)*log(-1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(x + sqrt(x^2 + 1)) + sqrt(sqrt(2) + 2) + 1) - 1/8*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(sqrt(2) + 2^(1/4))*log(1/2*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(x + sqrt(x^2 + 1)) + 2^(1/4) + 1) + 1/8*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(sqrt(2) + 2^(1/4))*log(-1/2*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(x + sqrt(x^2 + 1)) + 2^(1/4) + 1) + 1/2*2^(3/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(2) - 1)*arctan(1/2*2^(3/8)*sqrt(2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*2^(1/4) + 2)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4) - 1/2*2^(3/8)*(2^(1/4)*(sqrt(2) + 2)*sqrt(sqrt(2) - 1) + (sqrt(2) + 2)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) - (sqrt(2) + 1)*sqrt(sqrt(2) - 1)) + 1/2*2^(3/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(2) - 1)*arctan(1/2*2^(3/8)*sqrt(-2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*2^(1/4) + 2)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4) - 1/2*2^(3/8)*(2^(1/4)*(sqrt(2) + 2)*sqrt(sqrt(2) - 1) + (sqrt(2) + 2)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1)) - sqrt(2)*sqrt(sqrt(sqrt(2) + 1) - 1)*arctan(1/2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*sqrt(sqrt(x + sqrt(x^2 + 1)) + sqrt(sqrt(2) + 1))*sqrt(sqrt(sqrt(2) + 1) - 1) - 1/2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)*sqrt(sqrt(sqrt(2) + 1) - 1)) + 1/4*sqrt(2)*sqrt(sqrt(sqrt(2) + 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(sqrt(sqrt(2) + 1) + 1)) - 1/4*sqrt(2)*sqrt(sqrt(sqrt(2) + 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(sqrt(sqrt(2) + 1) + 1)) - 1/4*sqrt(2)*sqrt(sqrt(sqrt(2) - 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(sqrt(sqrt(2) - 1) + 1)) + 1/4*sqrt(2)*sqrt(sqrt(sqrt(2) - 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(sqrt(sqrt(2) - 1) + 1)) - 1/4*sqrt(2)*sqrt(-sqrt(sqrt(2) - 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(-sqrt(sqrt(2) - 1) + 1)) + 1/4*sqrt(2)*sqrt(-sqrt(sqrt(2) - 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(-sqrt(sqrt(2) - 1) + 1))","B",0
1990,1,1973,0,0.739082," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)/(x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} \arctan\left(\frac{1}{2} \, \sqrt{\sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \, \sqrt{\sqrt{2} + 2} + 2} {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} + \frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} - \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)}\right) + \frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} \arctan\left(\frac{1}{2} \, \sqrt{-\sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \, \sqrt{\sqrt{2} + 2} + 2} {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} + \frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} + \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)}\right) - \frac{1}{8} \, {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + \sqrt{2}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \log\left(\frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{\sqrt{2} + 2} + 1\right) + \frac{1}{8} \, {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + \sqrt{2}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \log\left(-\frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{\sqrt{2} + 2} + 1\right) - \frac{1}{8} \cdot 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2^{\frac{1}{4}}\right)} \log\left(\frac{1}{2} \cdot 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{x + \sqrt{x^{2} + 1}} + 2^{\frac{1}{4}} + 1\right) + \frac{1}{8} \cdot 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2^{\frac{1}{4}}\right)} \log\left(-\frac{1}{2} \cdot 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{x + \sqrt{x^{2} + 1}} + 2^{\frac{1}{4}} + 1\right) + \frac{1}{2} \cdot 2^{\frac{3}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{2} - 1} \arctan\left(\frac{1}{2} \cdot 2^{\frac{3}{8}} \sqrt{2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \cdot 2^{\frac{1}{4}} + 2} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} - \frac{1}{2} \cdot 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} - {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right) + \frac{1}{2} \cdot 2^{\frac{3}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{2} - 1} \arctan\left(\frac{1}{2} \cdot 2^{\frac{3}{8}} \sqrt{-2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \cdot 2^{\frac{1}{4}} + 2} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} - \frac{1}{2} \cdot 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right) - \sqrt{2} \sqrt{\sqrt{\sqrt{2} + 1} - 1} \arctan\left(\frac{1}{2} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{\sqrt{2} + 1}} \sqrt{\sqrt{\sqrt{2} + 1} - 1} - \frac{1}{2} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} \sqrt{\sqrt{\sqrt{2} + 1} - 1}\right) + \frac{1}{4} \, \sqrt{2} \sqrt{\sqrt{\sqrt{2} + 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{\sqrt{\sqrt{2} + 1} + 1}\right) - \frac{1}{4} \, \sqrt{2} \sqrt{\sqrt{\sqrt{2} + 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{\sqrt{\sqrt{2} + 1} + 1}\right) - \frac{1}{4} \, \sqrt{2} \sqrt{\sqrt{\sqrt{2} - 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{\sqrt{\sqrt{2} - 1} + 1}\right) + \frac{1}{4} \, \sqrt{2} \sqrt{\sqrt{\sqrt{2} - 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{\sqrt{\sqrt{2} - 1} + 1}\right) - \frac{1}{4} \, \sqrt{2} \sqrt{-\sqrt{\sqrt{2} - 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{-\sqrt{\sqrt{2} - 1} + 1}\right) + \frac{1}{4} \, \sqrt{2} \sqrt{-\sqrt{\sqrt{2} - 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{-\sqrt{\sqrt{2} - 1} + 1}\right)"," ",0,"1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1)*arctan(1/2*sqrt(sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*sqrt(sqrt(2) + 2) + 2)*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4) + 1/2*((3*sqrt(2) - 4)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (3*sqrt(2) - 4)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) - sqrt(sqrt(2) + 1)*(sqrt(2) - 1)) + 1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1)*arctan(1/2*sqrt(-sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*sqrt(sqrt(2) + 2) + 2)*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4) + 1/2*((3*sqrt(2) - 4)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (3*sqrt(2) - 4)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) + sqrt(sqrt(2) + 1)*(sqrt(2) - 1)) - 1/8*(sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + sqrt(2))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(1/4)*log(1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(x + sqrt(x^2 + 1)) + sqrt(sqrt(2) + 2) + 1) + 1/8*(sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + sqrt(2))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(1/4)*log(-1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(x + sqrt(x^2 + 1)) + sqrt(sqrt(2) + 2) + 1) - 1/8*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(sqrt(2) + 2^(1/4))*log(1/2*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(x + sqrt(x^2 + 1)) + 2^(1/4) + 1) + 1/8*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(sqrt(2) + 2^(1/4))*log(-1/2*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(x + sqrt(x^2 + 1)) + 2^(1/4) + 1) + 1/2*2^(3/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(2) - 1)*arctan(1/2*2^(3/8)*sqrt(2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*2^(1/4) + 2)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4) - 1/2*2^(3/8)*(2^(1/4)*(sqrt(2) + 2)*sqrt(sqrt(2) - 1) + (sqrt(2) + 2)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) - (sqrt(2) + 1)*sqrt(sqrt(2) - 1)) + 1/2*2^(3/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(2) - 1)*arctan(1/2*2^(3/8)*sqrt(-2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*2^(1/4) + 2)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4) - 1/2*2^(3/8)*(2^(1/4)*(sqrt(2) + 2)*sqrt(sqrt(2) - 1) + (sqrt(2) + 2)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1)) - sqrt(2)*sqrt(sqrt(sqrt(2) + 1) - 1)*arctan(1/2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*sqrt(sqrt(x + sqrt(x^2 + 1)) + sqrt(sqrt(2) + 1))*sqrt(sqrt(sqrt(2) + 1) - 1) - 1/2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)*sqrt(sqrt(sqrt(2) + 1) - 1)) + 1/4*sqrt(2)*sqrt(sqrt(sqrt(2) + 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(sqrt(sqrt(2) + 1) + 1)) - 1/4*sqrt(2)*sqrt(sqrt(sqrt(2) + 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(sqrt(sqrt(2) + 1) + 1)) - 1/4*sqrt(2)*sqrt(sqrt(sqrt(2) - 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(sqrt(sqrt(2) - 1) + 1)) + 1/4*sqrt(2)*sqrt(sqrt(sqrt(2) - 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(sqrt(sqrt(2) - 1) + 1)) - 1/4*sqrt(2)*sqrt(-sqrt(sqrt(2) - 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(-sqrt(sqrt(2) - 1) + 1)) + 1/4*sqrt(2)*sqrt(-sqrt(sqrt(2) - 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(-sqrt(sqrt(2) - 1) + 1))","B",0
1991,-1,0,0,0.000000," ","integrate((a^2*x^2+b)^(1/2)/(x^2-(a*x-(a^2*x^2+b)^(1/2))^(1/3)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1992,-1,0,0,0.000000," ","integrate((a^2*x^2+b)^(1/2)/(x^2-(a*x-(a^2*x^2+b)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1993,1,102,0,1.237994," ","integrate((x^2-2*x-6)^(1/3)/(-1+x),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{3} \left(-7\right)^{\frac{1}{3}} \arctan\left(\frac{2}{21} \, \sqrt{3} \left(-7\right)^{\frac{2}{3}} {\left(x^{2} - 2 \, x - 6\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) - \frac{1}{4} \, \left(-7\right)^{\frac{1}{3}} \log\left(\left(-7\right)^{\frac{2}{3}} + \left(-7\right)^{\frac{1}{3}} {\left(x^{2} - 2 \, x - 6\right)}^{\frac{1}{3}} + {\left(x^{2} - 2 \, x - 6\right)}^{\frac{2}{3}}\right) + \frac{1}{2} \, \left(-7\right)^{\frac{1}{3}} \log\left(-\left(-7\right)^{\frac{1}{3}} + {\left(x^{2} - 2 \, x - 6\right)}^{\frac{1}{3}}\right) + \frac{3}{2} \, {\left(x^{2} - 2 \, x - 6\right)}^{\frac{1}{3}}"," ",0,"1/2*sqrt(3)*(-7)^(1/3)*arctan(2/21*sqrt(3)*(-7)^(2/3)*(x^2 - 2*x - 6)^(1/3) - 1/3*sqrt(3)) - 1/4*(-7)^(1/3)*log((-7)^(2/3) + (-7)^(1/3)*(x^2 - 2*x - 6)^(1/3) + (x^2 - 2*x - 6)^(2/3)) + 1/2*(-7)^(1/3)*log(-(-7)^(1/3) + (x^2 - 2*x - 6)^(1/3)) + 3/2*(x^2 - 2*x - 6)^(1/3)","A",0
1994,1,161,0,0.526561," ","integrate((-1+x)/(x^3-x^2-x+1)^(1/3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} {\left(x - 1\right)} \arctan\left(\frac{\sqrt{3} {\left(x - 1\right)} + 2 \, \sqrt{3} {\left(x^{3} - x^{2} - x + 1\right)}^{\frac{1}{3}}}{3 \, {\left(x - 1\right)}}\right) - {\left(x - 1\right)} \log\left(\frac{x^{2} + {\left(x^{3} - x^{2} - x + 1\right)}^{\frac{1}{3}} {\left(x - 1\right)} - 2 \, x + {\left(x^{3} - x^{2} - x + 1\right)}^{\frac{2}{3}} + 1}{x^{2} - 2 \, x + 1}\right) + 2 \, {\left(x - 1\right)} \log\left(-\frac{x - {\left(x^{3} - x^{2} - x + 1\right)}^{\frac{1}{3}} - 1}{x - 1}\right) + 3 \, {\left(x^{3} - x^{2} - x + 1\right)}^{\frac{2}{3}}}{3 \, {\left(x - 1\right)}}"," ",0,"1/3*(2*sqrt(3)*(x - 1)*arctan(1/3*(sqrt(3)*(x - 1) + 2*sqrt(3)*(x^3 - x^2 - x + 1)^(1/3))/(x - 1)) - (x - 1)*log((x^2 + (x^3 - x^2 - x + 1)^(1/3)*(x - 1) - 2*x + (x^3 - x^2 - x + 1)^(2/3) + 1)/(x^2 - 2*x + 1)) + 2*(x - 1)*log(-(x - (x^3 - x^2 - x + 1)^(1/3) - 1)/(x - 1)) + 3*(x^3 - x^2 - x + 1)^(2/3))/(x - 1)","A",0
1995,1,151,0,0.471900," ","integrate(x/(x^3+x^2-x-1)^(1/3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} {\left(x + 1\right)} \arctan\left(\frac{\sqrt{3} {\left(x + 1\right)} + 2 \, \sqrt{3} {\left(x^{3} + x^{2} - x - 1\right)}^{\frac{1}{3}}}{3 \, {\left(x + 1\right)}}\right) - {\left(x + 1\right)} \log\left(\frac{x^{2} + {\left(x^{3} + x^{2} - x - 1\right)}^{\frac{1}{3}} {\left(x + 1\right)} + 2 \, x + {\left(x^{3} + x^{2} - x - 1\right)}^{\frac{2}{3}} + 1}{x^{2} + 2 \, x + 1}\right) + 2 \, {\left(x + 1\right)} \log\left(-\frac{x - {\left(x^{3} + x^{2} - x - 1\right)}^{\frac{1}{3}} + 1}{x + 1}\right) + 6 \, {\left(x^{3} + x^{2} - x - 1\right)}^{\frac{2}{3}}}{6 \, {\left(x + 1\right)}}"," ",0,"1/6*(2*sqrt(3)*(x + 1)*arctan(1/3*(sqrt(3)*(x + 1) + 2*sqrt(3)*(x^3 + x^2 - x - 1)^(1/3))/(x + 1)) - (x + 1)*log((x^2 + (x^3 + x^2 - x - 1)^(1/3)*(x + 1) + 2*x + (x^3 + x^2 - x - 1)^(2/3) + 1)/(x^2 + 2*x + 1)) + 2*(x + 1)*log(-(x - (x^3 + x^2 - x - 1)^(1/3) + 1)/(x + 1)) + 6*(x^3 + x^2 - x - 1)^(2/3))/(x + 1)","A",0
1996,1,380,0,11.625350," ","integrate((3+2*x)*(3*x^3+x+1)^(2/3)/x^3/(x^3+x+1),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} \left(-4\right)^{\frac{1}{3}} x^{2} \arctan\left(\frac{3 \, \sqrt{3} \left(-4\right)^{\frac{2}{3}} {\left(7 \, x^{7} + 8 \, x^{5} + 8 \, x^{4} + x^{3} + 2 \, x^{2} + x\right)} {\left(3 \, x^{3} + x + 1\right)}^{\frac{2}{3}} - 6 \, \sqrt{3} \left(-4\right)^{\frac{1}{3}} {\left(55 \, x^{8} + 20 \, x^{6} + 20 \, x^{5} + x^{4} + 2 \, x^{3} + x^{2}\right)} {\left(3 \, x^{3} + x + 1\right)}^{\frac{1}{3}} + \sqrt{3} {\left(433 \, x^{9} + 255 \, x^{7} + 255 \, x^{6} + 39 \, x^{5} + 78 \, x^{4} + 40 \, x^{3} + 3 \, x^{2} + 3 \, x + 1\right)}}{3 \, {\left(323 \, x^{9} + 105 \, x^{7} + 105 \, x^{6} - 3 \, x^{5} - 6 \, x^{4} - 4 \, x^{3} - 3 \, x^{2} - 3 \, x - 1\right)}}\right) + 2 \, \left(-4\right)^{\frac{1}{3}} x^{2} \log\left(\frac{3 \, \left(-4\right)^{\frac{2}{3}} {\left(3 \, x^{3} + x + 1\right)}^{\frac{1}{3}} x^{2} - 6 \, {\left(3 \, x^{3} + x + 1\right)}^{\frac{2}{3}} x - \left(-4\right)^{\frac{1}{3}} {\left(x^{3} + x + 1\right)}}{x^{3} + x + 1}\right) - \left(-4\right)^{\frac{1}{3}} x^{2} \log\left(-\frac{6 \, \left(-4\right)^{\frac{1}{3}} {\left(7 \, x^{4} + x^{2} + x\right)} {\left(3 \, x^{3} + x + 1\right)}^{\frac{2}{3}} - \left(-4\right)^{\frac{2}{3}} {\left(55 \, x^{6} + 20 \, x^{4} + 20 \, x^{3} + x^{2} + 2 \, x + 1\right)} - 24 \, {\left(4 \, x^{5} + x^{3} + x^{2}\right)} {\left(3 \, x^{3} + x + 1\right)}^{\frac{1}{3}}}{x^{6} + 2 \, x^{4} + 2 \, x^{3} + x^{2} + 2 \, x + 1}\right) - 9 \, {\left(3 \, x^{3} + x + 1\right)}^{\frac{2}{3}}}{6 \, x^{2}}"," ",0,"1/6*(2*sqrt(3)*(-4)^(1/3)*x^2*arctan(1/3*(3*sqrt(3)*(-4)^(2/3)*(7*x^7 + 8*x^5 + 8*x^4 + x^3 + 2*x^2 + x)*(3*x^3 + x + 1)^(2/3) - 6*sqrt(3)*(-4)^(1/3)*(55*x^8 + 20*x^6 + 20*x^5 + x^4 + 2*x^3 + x^2)*(3*x^3 + x + 1)^(1/3) + sqrt(3)*(433*x^9 + 255*x^7 + 255*x^6 + 39*x^5 + 78*x^4 + 40*x^3 + 3*x^2 + 3*x + 1))/(323*x^9 + 105*x^7 + 105*x^6 - 3*x^5 - 6*x^4 - 4*x^3 - 3*x^2 - 3*x - 1)) + 2*(-4)^(1/3)*x^2*log((3*(-4)^(2/3)*(3*x^3 + x + 1)^(1/3)*x^2 - 6*(3*x^3 + x + 1)^(2/3)*x - (-4)^(1/3)*(x^3 + x + 1))/(x^3 + x + 1)) - (-4)^(1/3)*x^2*log(-(6*(-4)^(1/3)*(7*x^4 + x^2 + x)*(3*x^3 + x + 1)^(2/3) - (-4)^(2/3)*(55*x^6 + 20*x^4 + 20*x^3 + x^2 + 2*x + 1) - 24*(4*x^5 + x^3 + x^2)*(3*x^3 + x + 1)^(1/3))/(x^6 + 2*x^4 + 2*x^3 + x^2 + 2*x + 1)) - 9*(3*x^3 + x + 1)^(2/3))/x^2","B",0
1997,-1,0,0,0.000000," ","integrate(x^2*(-3*a*b^3+2*b^2*(3*a+b)*x-3*b*(a+b)*x^2+x^4)/(x*(-a+x)*(-b+x)^3)^(3/4)/(a*b^3-b^2*(3*a+b)*x+3*b*(a+b)*x^2-(a+3*b+d)*x^3+x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1998,1,318,0,0.602093," ","integrate(x^6/(a*x^4-b)^(3/4)/(a*x^4+b),x, algorithm=""fricas"")","\left(\frac{1}{8}\right)^{\frac{1}{4}} \frac{1}{a^{7}}^{\frac{1}{4}} \arctan\left(\frac{4 \, {\left(\left(\frac{1}{8}\right)^{\frac{3}{4}} a^{5} x \sqrt{\frac{2 \, \sqrt{\frac{1}{2}} a^{4} \sqrt{\frac{1}{a^{7}}} x^{2} + \sqrt{a x^{4} - b}}{x^{2}}} \frac{1}{a^{7}}^{\frac{3}{4}} - \left(\frac{1}{8}\right)^{\frac{3}{4}} {\left(a x^{4} - b\right)}^{\frac{1}{4}} a^{5} \frac{1}{a^{7}}^{\frac{3}{4}}\right)}}{x}\right) - \frac{1}{4} \, \left(\frac{1}{8}\right)^{\frac{1}{4}} \frac{1}{a^{7}}^{\frac{1}{4}} \log\left(\frac{2 \, \left(\frac{1}{8}\right)^{\frac{1}{4}} a^{2} \frac{1}{a^{7}}^{\frac{1}{4}} x + {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{4} \, \left(\frac{1}{8}\right)^{\frac{1}{4}} \frac{1}{a^{7}}^{\frac{1}{4}} \log\left(-\frac{2 \, \left(\frac{1}{8}\right)^{\frac{1}{4}} a^{2} \frac{1}{a^{7}}^{\frac{1}{4}} x - {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{a^{7}}^{\frac{1}{4}} \arctan\left(\frac{a^{5} \sqrt{\frac{a^{4} \sqrt{\frac{1}{a^{7}}} x^{2} + \sqrt{a x^{4} - b}}{x^{2}}} \frac{1}{a^{7}}^{\frac{3}{4}} x - {\left(a x^{4} - b\right)}^{\frac{1}{4}} a^{5} \frac{1}{a^{7}}^{\frac{3}{4}}}{x}\right) + \frac{1}{4} \, \frac{1}{a^{7}}^{\frac{1}{4}} \log\left(\frac{a^{2} \frac{1}{a^{7}}^{\frac{1}{4}} x + {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{4} \, \frac{1}{a^{7}}^{\frac{1}{4}} \log\left(-\frac{a^{2} \frac{1}{a^{7}}^{\frac{1}{4}} x - {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"(1/8)^(1/4)*(a^(-7))^(1/4)*arctan(4*((1/8)^(3/4)*a^5*x*sqrt((2*sqrt(1/2)*a^4*sqrt(a^(-7))*x^2 + sqrt(a*x^4 - b))/x^2)*(a^(-7))^(3/4) - (1/8)^(3/4)*(a*x^4 - b)^(1/4)*a^5*(a^(-7))^(3/4))/x) - 1/4*(1/8)^(1/4)*(a^(-7))^(1/4)*log((2*(1/8)^(1/4)*a^2*(a^(-7))^(1/4)*x + (a*x^4 - b)^(1/4))/x) + 1/4*(1/8)^(1/4)*(a^(-7))^(1/4)*log(-(2*(1/8)^(1/4)*a^2*(a^(-7))^(1/4)*x - (a*x^4 - b)^(1/4))/x) - (a^(-7))^(1/4)*arctan((a^5*sqrt((a^4*sqrt(a^(-7))*x^2 + sqrt(a*x^4 - b))/x^2)*(a^(-7))^(3/4)*x - (a*x^4 - b)^(1/4)*a^5*(a^(-7))^(3/4))/x) + 1/4*(a^(-7))^(1/4)*log((a^2*(a^(-7))^(1/4)*x + (a*x^4 - b)^(1/4))/x) - 1/4*(a^(-7))^(1/4)*log(-(a^2*(a^(-7))^(1/4)*x - (a*x^4 - b)^(1/4))/x)","B",0
1999,-1,0,0,0.000000," ","integrate((2*a*x^2-b)/(a*x^2-b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2000,1,241,0,0.563763," ","integrate((2*a*x^4-3*b)/(a*x^4-2*b)/(a*x^4+b)^(1/4),x, algorithm=""fricas"")","-\frac{\left(\frac{1}{24}\right)^{\frac{1}{4}} \arctan\left(\frac{2 \, {\left(\frac{\left(\frac{1}{24}\right)^{\frac{1}{4}} x \sqrt{\frac{3 \, \sqrt{\frac{1}{6}} \sqrt{a} x^{2} + \sqrt{a x^{4} + b}}{x^{2}}}}{a^{\frac{1}{4}}} - \frac{\left(\frac{1}{24}\right)^{\frac{1}{4}} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}}{x}\right)}{a^{\frac{1}{4}}} - \frac{\left(\frac{1}{24}\right)^{\frac{1}{4}} \log\left(\frac{12 \, \left(\frac{1}{24}\right)^{\frac{3}{4}} a^{\frac{1}{4}} x + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{4 \, a^{\frac{1}{4}}} + \frac{\left(\frac{1}{24}\right)^{\frac{1}{4}} \log\left(-\frac{12 \, \left(\frac{1}{24}\right)^{\frac{3}{4}} a^{\frac{1}{4}} x - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{4 \, a^{\frac{1}{4}}} + \frac{2 \, \arctan\left(\frac{\frac{x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} + b}}{x^{2}}}}{a^{\frac{1}{4}}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}}{x}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}}"," ",0,"-(1/24)^(1/4)*arctan(2*((1/24)^(1/4)*x*sqrt((3*sqrt(1/6)*sqrt(a)*x^2 + sqrt(a*x^4 + b))/x^2)/a^(1/4) - (1/24)^(1/4)*(a*x^4 + b)^(1/4)/a^(1/4))/x)/a^(1/4) - 1/4*(1/24)^(1/4)*log((12*(1/24)^(3/4)*a^(1/4)*x + (a*x^4 + b)^(1/4))/x)/a^(1/4) + 1/4*(1/24)^(1/4)*log(-(12*(1/24)^(3/4)*a^(1/4)*x - (a*x^4 + b)^(1/4))/x)/a^(1/4) + 2*arctan((x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 + b))/x^2)/a^(1/4) - (a*x^4 + b)^(1/4)/a^(1/4))/x)/a^(1/4) + 1/2*log((a^(1/4)*x + (a*x^4 + b)^(1/4))/x)/a^(1/4) - 1/2*log(-(a^(1/4)*x - (a*x^4 + b)^(1/4))/x)/a^(1/4)","B",0
2001,1,253,0,0.519678," ","integrate((a*x^4+b)/(a*x^4-b)^(1/4)/(3*a*x^4+b),x, algorithm=""fricas"")","\frac{2 \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \arctan\left(\frac{\frac{\left(\frac{1}{4}\right)^{\frac{1}{4}} x \sqrt{\frac{2 \, \sqrt{a} x^{2} + \sqrt{a x^{4} - b}}{x^{2}}}}{a^{\frac{1}{4}}} - \frac{\left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}}{x}\right)}{3 \, a^{\frac{1}{4}}} + \frac{\left(\frac{1}{4}\right)^{\frac{1}{4}} \log\left(\frac{4 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{\frac{1}{4}} x + {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right)}{6 \, a^{\frac{1}{4}}} - \frac{\left(\frac{1}{4}\right)^{\frac{1}{4}} \log\left(-\frac{4 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{\frac{1}{4}} x - {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right)}{6 \, a^{\frac{1}{4}}} + \frac{\arctan\left(\frac{\frac{x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} - b}}{x^{2}}}}{a^{\frac{1}{4}}} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}}{x}\right)}{3 \, a^{\frac{1}{4}}} + \frac{\log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right)}{12 \, a^{\frac{1}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right)}{12 \, a^{\frac{1}{4}}}"," ",0,"2/3*(1/4)^(1/4)*arctan(((1/4)^(1/4)*x*sqrt((2*sqrt(a)*x^2 + sqrt(a*x^4 - b))/x^2)/a^(1/4) - (1/4)^(1/4)*(a*x^4 - b)^(1/4)/a^(1/4))/x)/a^(1/4) + 1/6*(1/4)^(1/4)*log((4*(1/4)^(3/4)*a^(1/4)*x + (a*x^4 - b)^(1/4))/x)/a^(1/4) - 1/6*(1/4)^(1/4)*log(-(4*(1/4)^(3/4)*a^(1/4)*x - (a*x^4 - b)^(1/4))/x)/a^(1/4) + 1/3*arctan((x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 - b))/x^2)/a^(1/4) - (a*x^4 - b)^(1/4)/a^(1/4))/x)/a^(1/4) + 1/12*log((a^(1/4)*x + (a*x^4 - b)^(1/4))/x)/a^(1/4) - 1/12*log(-(a^(1/4)*x - (a*x^4 - b)^(1/4))/x)/a^(1/4)","B",0
2002,1,852,0,10.901015," ","integrate((x^6+2)*(x^6-x^4-1)/(-x^6-x^4+1)^(1/4)/(x^6-1)^2,x, algorithm=""fricas"")","-\frac{20 \, \sqrt{2} {\left(x^{6} - 1\right)} \arctan\left(-\frac{x^{12} - 2 \, x^{6} + 2 \, \sqrt{2} {\left(x^{7} + 4 \, x^{5} - x\right)} {\left(-x^{6} - x^{4} + 1\right)}^{\frac{3}{4}} + 2 \, \sqrt{2} {\left(3 \, x^{9} + 4 \, x^{7} - 3 \, x^{3}\right)} {\left(-x^{6} - x^{4} + 1\right)}^{\frac{1}{4}} - 4 \, {\left(x^{8} - x^{2}\right)} \sqrt{-x^{6} - x^{4} + 1} - {\left(16 \, {\left(-x^{6} - x^{4} + 1\right)}^{\frac{3}{4}} x^{5} + 2 \, \sqrt{2} {\left(x^{8} + 4 \, x^{6} - x^{2}\right)} \sqrt{-x^{6} - x^{4} + 1} - \sqrt{2} {\left(x^{12} + 10 \, x^{10} + 8 \, x^{8} - 2 \, x^{6} - 10 \, x^{4} + 1\right)} - 4 \, {\left(x^{9} - x^{3}\right)} {\left(-x^{6} - x^{4} + 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{6} + 2 \, \sqrt{2} {\left(-x^{6} - x^{4} + 1\right)}^{\frac{1}{4}} x^{3} - 4 \, \sqrt{-x^{6} - x^{4} + 1} x^{2} + 2 \, \sqrt{2} {\left(-x^{6} - x^{4} + 1\right)}^{\frac{3}{4}} x - 1}{x^{6} - 1}} + 1}{x^{12} + 16 \, x^{10} + 16 \, x^{8} - 2 \, x^{6} - 16 \, x^{4} + 1}\right) - 20 \, \sqrt{2} {\left(x^{6} - 1\right)} \arctan\left(-\frac{x^{12} - 2 \, x^{6} - 2 \, \sqrt{2} {\left(x^{7} + 4 \, x^{5} - x\right)} {\left(-x^{6} - x^{4} + 1\right)}^{\frac{3}{4}} - 2 \, \sqrt{2} {\left(3 \, x^{9} + 4 \, x^{7} - 3 \, x^{3}\right)} {\left(-x^{6} - x^{4} + 1\right)}^{\frac{1}{4}} - 4 \, {\left(x^{8} - x^{2}\right)} \sqrt{-x^{6} - x^{4} + 1} - {\left(16 \, {\left(-x^{6} - x^{4} + 1\right)}^{\frac{3}{4}} x^{5} - 2 \, \sqrt{2} {\left(x^{8} + 4 \, x^{6} - x^{2}\right)} \sqrt{-x^{6} - x^{4} + 1} + \sqrt{2} {\left(x^{12} + 10 \, x^{10} + 8 \, x^{8} - 2 \, x^{6} - 10 \, x^{4} + 1\right)} - 4 \, {\left(x^{9} - x^{3}\right)} {\left(-x^{6} - x^{4} + 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{x^{6} - 2 \, \sqrt{2} {\left(-x^{6} - x^{4} + 1\right)}^{\frac{1}{4}} x^{3} - 4 \, \sqrt{-x^{6} - x^{4} + 1} x^{2} - 2 \, \sqrt{2} {\left(-x^{6} - x^{4} + 1\right)}^{\frac{3}{4}} x - 1}{x^{6} - 1}} + 1}{x^{12} + 16 \, x^{10} + 16 \, x^{8} - 2 \, x^{6} - 16 \, x^{4} + 1}\right) - 5 \, \sqrt{2} {\left(x^{6} - 1\right)} \log\left(\frac{4 \, {\left(x^{6} + 2 \, \sqrt{2} {\left(-x^{6} - x^{4} + 1\right)}^{\frac{1}{4}} x^{3} - 4 \, \sqrt{-x^{6} - x^{4} + 1} x^{2} + 2 \, \sqrt{2} {\left(-x^{6} - x^{4} + 1\right)}^{\frac{3}{4}} x - 1\right)}}{x^{6} - 1}\right) + 5 \, \sqrt{2} {\left(x^{6} - 1\right)} \log\left(\frac{4 \, {\left(x^{6} - 2 \, \sqrt{2} {\left(-x^{6} - x^{4} + 1\right)}^{\frac{1}{4}} x^{3} - 4 \, \sqrt{-x^{6} - x^{4} + 1} x^{2} - 2 \, \sqrt{2} {\left(-x^{6} - x^{4} + 1\right)}^{\frac{3}{4}} x - 1\right)}}{x^{6} - 1}\right) + 16 \, {\left(-x^{6} - x^{4} + 1\right)}^{\frac{3}{4}} x}{32 \, {\left(x^{6} - 1\right)}}"," ",0,"-1/32*(20*sqrt(2)*(x^6 - 1)*arctan(-(x^12 - 2*x^6 + 2*sqrt(2)*(x^7 + 4*x^5 - x)*(-x^6 - x^4 + 1)^(3/4) + 2*sqrt(2)*(3*x^9 + 4*x^7 - 3*x^3)*(-x^6 - x^4 + 1)^(1/4) - 4*(x^8 - x^2)*sqrt(-x^6 - x^4 + 1) - (16*(-x^6 - x^4 + 1)^(3/4)*x^5 + 2*sqrt(2)*(x^8 + 4*x^6 - x^2)*sqrt(-x^6 - x^4 + 1) - sqrt(2)*(x^12 + 10*x^10 + 8*x^8 - 2*x^6 - 10*x^4 + 1) - 4*(x^9 - x^3)*(-x^6 - x^4 + 1)^(1/4))*sqrt((x^6 + 2*sqrt(2)*(-x^6 - x^4 + 1)^(1/4)*x^3 - 4*sqrt(-x^6 - x^4 + 1)*x^2 + 2*sqrt(2)*(-x^6 - x^4 + 1)^(3/4)*x - 1)/(x^6 - 1)) + 1)/(x^12 + 16*x^10 + 16*x^8 - 2*x^6 - 16*x^4 + 1)) - 20*sqrt(2)*(x^6 - 1)*arctan(-(x^12 - 2*x^6 - 2*sqrt(2)*(x^7 + 4*x^5 - x)*(-x^6 - x^4 + 1)^(3/4) - 2*sqrt(2)*(3*x^9 + 4*x^7 - 3*x^3)*(-x^6 - x^4 + 1)^(1/4) - 4*(x^8 - x^2)*sqrt(-x^6 - x^4 + 1) - (16*(-x^6 - x^4 + 1)^(3/4)*x^5 - 2*sqrt(2)*(x^8 + 4*x^6 - x^2)*sqrt(-x^6 - x^4 + 1) + sqrt(2)*(x^12 + 10*x^10 + 8*x^8 - 2*x^6 - 10*x^4 + 1) - 4*(x^9 - x^3)*(-x^6 - x^4 + 1)^(1/4))*sqrt((x^6 - 2*sqrt(2)*(-x^6 - x^4 + 1)^(1/4)*x^3 - 4*sqrt(-x^6 - x^4 + 1)*x^2 - 2*sqrt(2)*(-x^6 - x^4 + 1)^(3/4)*x - 1)/(x^6 - 1)) + 1)/(x^12 + 16*x^10 + 16*x^8 - 2*x^6 - 16*x^4 + 1)) - 5*sqrt(2)*(x^6 - 1)*log(4*(x^6 + 2*sqrt(2)*(-x^6 - x^4 + 1)^(1/4)*x^3 - 4*sqrt(-x^6 - x^4 + 1)*x^2 + 2*sqrt(2)*(-x^6 - x^4 + 1)^(3/4)*x - 1)/(x^6 - 1)) + 5*sqrt(2)*(x^6 - 1)*log(4*(x^6 - 2*sqrt(2)*(-x^6 - x^4 + 1)^(1/4)*x^3 - 4*sqrt(-x^6 - x^4 + 1)*x^2 - 2*sqrt(2)*(-x^6 - x^4 + 1)^(3/4)*x - 1)/(x^6 - 1)) + 16*(-x^6 - x^4 + 1)^(3/4)*x)/(x^6 - 1)","B",0
2003,-1,0,0,0.000000," ","integrate((a*x^6-2*b)*(a*x^6-c*x^4+b)/x^2/(a*x^6+b)^(3/4)/(a*x^6+c*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2004,1,519,0,34.572934," ","integrate((2*x^4+1)^(1/4)*(2*x^8-x^4-1)/x^6/(x^4+2),x, algorithm=""fricas"")","-\frac{180 \cdot 3^{\frac{1}{4}} 2^{\frac{3}{4}} x^{5} \arctan\left(-\frac{12 \cdot 3^{\frac{3}{4}} 2^{\frac{1}{4}} {\left(2 \, x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 12 \cdot 3^{\frac{1}{4}} 2^{\frac{3}{4}} {\left(2 \, x^{4} + 1\right)}^{\frac{3}{4}} x - \sqrt{3} {\left(4 \cdot 3^{\frac{3}{4}} 2^{\frac{1}{4}} \sqrt{2 \, x^{4} + 1} x^{2} + 3^{\frac{1}{4}} 2^{\frac{3}{4}} {\left(7 \, x^{4} + 2\right)}\right)} \sqrt{\sqrt{3} \sqrt{2}}}{6 \, {\left(x^{4} + 2\right)}}\right) + 45 \cdot 3^{\frac{1}{4}} 2^{\frac{3}{4}} x^{5} \log\left(\frac{6 \, \sqrt{3} \sqrt{2} {\left(2 \, x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 6 \cdot 3^{\frac{1}{4}} 2^{\frac{3}{4}} \sqrt{2 \, x^{4} + 1} x^{2} + 3^{\frac{3}{4}} 2^{\frac{1}{4}} {\left(7 \, x^{4} + 2\right)} + 12 \, {\left(2 \, x^{4} + 1\right)}^{\frac{3}{4}} x}{x^{4} + 2}\right) - 45 \cdot 3^{\frac{1}{4}} 2^{\frac{3}{4}} x^{5} \log\left(\frac{6 \, \sqrt{3} \sqrt{2} {\left(2 \, x^{4} + 1\right)}^{\frac{1}{4}} x^{3} - 6 \cdot 3^{\frac{1}{4}} 2^{\frac{3}{4}} \sqrt{2 \, x^{4} + 1} x^{2} - 3^{\frac{3}{4}} 2^{\frac{1}{4}} {\left(7 \, x^{4} + 2\right)} + 12 \, {\left(2 \, x^{4} + 1\right)}^{\frac{3}{4}} x}{x^{4} + 2}\right) - 320 \cdot 2^{\frac{1}{4}} x^{5} \arctan\left(-2 \cdot 2^{\frac{3}{4}} {\left(2 \, x^{4} + 1\right)}^{\frac{1}{4}} x^{3} - 2 \cdot 2^{\frac{1}{4}} {\left(2 \, x^{4} + 1\right)}^{\frac{3}{4}} x + \frac{1}{2} \cdot 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{2 \, x^{4} + 1} x^{2} + 2^{\frac{1}{4}} {\left(4 \, x^{4} + 1\right)}\right)}\right) - 80 \cdot 2^{\frac{1}{4}} x^{5} \log\left(4 \, \sqrt{2} {\left(2 \, x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 4 \cdot 2^{\frac{1}{4}} \sqrt{2 \, x^{4} + 1} x^{2} + 2^{\frac{3}{4}} {\left(4 \, x^{4} + 1\right)} + 4 \, {\left(2 \, x^{4} + 1\right)}^{\frac{3}{4}} x\right) + 80 \cdot 2^{\frac{1}{4}} x^{5} \log\left(4 \, \sqrt{2} {\left(2 \, x^{4} + 1\right)}^{\frac{1}{4}} x^{3} - 4 \cdot 2^{\frac{1}{4}} \sqrt{2 \, x^{4} + 1} x^{2} - 2^{\frac{3}{4}} {\left(4 \, x^{4} + 1\right)} + 4 \, {\left(2 \, x^{4} + 1\right)}^{\frac{3}{4}} x\right) - 16 \, {\left(9 \, x^{4} + 2\right)} {\left(2 \, x^{4} + 1\right)}^{\frac{1}{4}}}{320 \, x^{5}}"," ",0,"-1/320*(180*3^(1/4)*2^(3/4)*x^5*arctan(-1/6*(12*3^(3/4)*2^(1/4)*(2*x^4 + 1)^(1/4)*x^3 + 12*3^(1/4)*2^(3/4)*(2*x^4 + 1)^(3/4)*x - sqrt(3)*(4*3^(3/4)*2^(1/4)*sqrt(2*x^4 + 1)*x^2 + 3^(1/4)*2^(3/4)*(7*x^4 + 2))*sqrt(sqrt(3)*sqrt(2)))/(x^4 + 2)) + 45*3^(1/4)*2^(3/4)*x^5*log((6*sqrt(3)*sqrt(2)*(2*x^4 + 1)^(1/4)*x^3 + 6*3^(1/4)*2^(3/4)*sqrt(2*x^4 + 1)*x^2 + 3^(3/4)*2^(1/4)*(7*x^4 + 2) + 12*(2*x^4 + 1)^(3/4)*x)/(x^4 + 2)) - 45*3^(1/4)*2^(3/4)*x^5*log((6*sqrt(3)*sqrt(2)*(2*x^4 + 1)^(1/4)*x^3 - 6*3^(1/4)*2^(3/4)*sqrt(2*x^4 + 1)*x^2 - 3^(3/4)*2^(1/4)*(7*x^4 + 2) + 12*(2*x^4 + 1)^(3/4)*x)/(x^4 + 2)) - 320*2^(1/4)*x^5*arctan(-2*2^(3/4)*(2*x^4 + 1)^(1/4)*x^3 - 2*2^(1/4)*(2*x^4 + 1)^(3/4)*x + 1/2*2^(3/4)*(2*2^(3/4)*sqrt(2*x^4 + 1)*x^2 + 2^(1/4)*(4*x^4 + 1))) - 80*2^(1/4)*x^5*log(4*sqrt(2)*(2*x^4 + 1)^(1/4)*x^3 + 4*2^(1/4)*sqrt(2*x^4 + 1)*x^2 + 2^(3/4)*(4*x^4 + 1) + 4*(2*x^4 + 1)^(3/4)*x) + 80*2^(1/4)*x^5*log(4*sqrt(2)*(2*x^4 + 1)^(1/4)*x^3 - 4*2^(1/4)*sqrt(2*x^4 + 1)*x^2 - 2^(3/4)*(4*x^4 + 1) + 4*(2*x^4 + 1)^(3/4)*x) - 16*(9*x^4 + 2)*(2*x^4 + 1)^(1/4))/x^5","B",0
2005,-1,0,0,0.000000," ","integrate((2*a^4*x^4-b^8)/(a^4*x^4-b^8)^(1/4)/(a^8*x^8-b^8-c*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2006,1,216,0,0.627512," ","integrate((x^2-1)/(x^2+1)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{2}{3} \, {\left(x^{2} - \sqrt{x^{2} + 1} x - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{2} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + x + \sqrt{x^{2} + 1} + 1} - \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} - 1\right) + 4 \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, x + 4 \, \sqrt{x^{2} + 1} + 4} - \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + 1\right) - \sqrt{2} \log\left(4 \, \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, x + 4 \, \sqrt{x^{2} + 1} + 4\right) + \sqrt{2} \log\left(-4 \, \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, x + 4 \, \sqrt{x^{2} + 1} + 4\right)"," ",0,"-2/3*(x^2 - sqrt(x^2 + 1)*x - 1)*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(2)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + x + sqrt(x^2 + 1) + 1) - sqrt(2)*sqrt(x + sqrt(x^2 + 1)) - 1) + 4*sqrt(2)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + 4*x + 4*sqrt(x^2 + 1) + 4) - sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(2)*log(4*sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + 4*x + 4*sqrt(x^2 + 1) + 4) + sqrt(2)*log(-4*sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + 4*x + 4*sqrt(x^2 + 1) + 4)","B",0
2007,1,263,0,1.794935," ","integrate((x^2+1)*(2*x^3+x)^(1/3)/x^4/(x^2-1),x, algorithm=""fricas"")","\frac{8 \cdot 3^{\frac{5}{6}} x^{3} \arctan\left(\frac{6 \cdot 3^{\frac{5}{6}} {\left(8 \, x^{4} - 7 \, x^{2} - 1\right)} {\left(2 \, x^{3} + x\right)}^{\frac{2}{3}} - \sqrt{3} {\left(377 \, x^{6} + 300 \, x^{4} + 51 \, x^{2} + 1\right)} - 18 \cdot 3^{\frac{1}{6}} {\left(55 \, x^{5} + 25 \, x^{3} + x\right)} {\left(2 \, x^{3} + x\right)}^{\frac{1}{3}}}{3 \, {\left(487 \, x^{6} + 240 \, x^{4} + 3 \, x^{2} - 1\right)}}\right) - 4 \cdot 3^{\frac{1}{3}} x^{3} \log\left(\frac{3 \cdot 3^{\frac{2}{3}} {\left(2 \, x^{3} + x\right)}^{\frac{2}{3}} {\left(8 \, x^{2} + 1\right)} + 3^{\frac{1}{3}} {\left(55 \, x^{4} + 25 \, x^{2} + 1\right)} + 9 \, {\left(7 \, x^{3} + 2 \, x\right)} {\left(2 \, x^{3} + x\right)}^{\frac{1}{3}}}{x^{4} - 2 \, x^{2} + 1}\right) + 8 \cdot 3^{\frac{1}{3}} x^{3} \log\left(-\frac{3^{\frac{2}{3}} {\left(x^{2} - 1\right)} - 9 \cdot 3^{\frac{1}{3}} {\left(2 \, x^{3} + x\right)}^{\frac{1}{3}} x + 9 \, {\left(2 \, x^{3} + x\right)}^{\frac{2}{3}}}{x^{2} - 1}\right) + 9 \, {\left(2 \, x^{3} + x\right)}^{\frac{1}{3}} {\left(10 \, x^{2} + 1\right)}}{24 \, x^{3}}"," ",0,"1/24*(8*3^(5/6)*x^3*arctan(1/3*(6*3^(5/6)*(8*x^4 - 7*x^2 - 1)*(2*x^3 + x)^(2/3) - sqrt(3)*(377*x^6 + 300*x^4 + 51*x^2 + 1) - 18*3^(1/6)*(55*x^5 + 25*x^3 + x)*(2*x^3 + x)^(1/3))/(487*x^6 + 240*x^4 + 3*x^2 - 1)) - 4*3^(1/3)*x^3*log((3*3^(2/3)*(2*x^3 + x)^(2/3)*(8*x^2 + 1) + 3^(1/3)*(55*x^4 + 25*x^2 + 1) + 9*(7*x^3 + 2*x)*(2*x^3 + x)^(1/3))/(x^4 - 2*x^2 + 1)) + 8*3^(1/3)*x^3*log(-(3^(2/3)*(x^2 - 1) - 9*3^(1/3)*(2*x^3 + x)^(1/3)*x + 9*(2*x^3 + x)^(2/3))/(x^2 - 1)) + 9*(2*x^3 + x)^(1/3)*(10*x^2 + 1))/x^3","B",0
2008,-1,0,0,0.000000," ","integrate((a^3*x^3-b)*(a^3*x^3+b)^(1/3)/x^5,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2009,-1,0,0,0.000000," ","integrate((a*x^2-3*b)/(-2*a*x^2+3*b)^(1/4)/(3*x^4-2*a*x^2+3*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2010,-1,0,0,0.000000," ","integrate((a*x^5-4*b)*(a*x^5-c*x^4+b)/x^2/(a*x^5+b)^(3/4)/(a*x^5+c*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2011,1,344,0,51.283695," ","integrate((x^3-1)*(x^6+1)^(2/3)*(x^6-x^3+1)/x^6/(x^3+1),x, algorithm=""fricas"")","\frac{10 \, \sqrt{3} \left(-4\right)^{\frac{1}{3}} x^{5} \arctan\left(\frac{3 \, \sqrt{3} \left(-4\right)^{\frac{2}{3}} {\left(x^{13} - 2 \, x^{10} - 6 \, x^{7} - 2 \, x^{4} + x\right)} {\left(x^{6} + 1\right)}^{\frac{2}{3}} + 6 \, \sqrt{3} \left(-4\right)^{\frac{1}{3}} {\left(x^{14} - 14 \, x^{11} + 6 \, x^{8} - 14 \, x^{5} + x^{2}\right)} {\left(x^{6} + 1\right)}^{\frac{1}{3}} - \sqrt{3} {\left(x^{18} - 30 \, x^{15} + 51 \, x^{12} - 52 \, x^{9} + 51 \, x^{6} - 30 \, x^{3} + 1\right)}}{3 \, {\left(x^{18} + 6 \, x^{15} - 93 \, x^{12} + 20 \, x^{9} - 93 \, x^{6} + 6 \, x^{3} + 1\right)}}\right) + 10 \, \left(-4\right)^{\frac{1}{3}} x^{5} \log\left(\frac{3 \, \left(-4\right)^{\frac{2}{3}} {\left(x^{6} + 1\right)}^{\frac{1}{3}} x^{2} + 6 \, {\left(x^{6} + 1\right)}^{\frac{2}{3}} x - \left(-4\right)^{\frac{1}{3}} {\left(x^{6} + 2 \, x^{3} + 1\right)}}{x^{6} + 2 \, x^{3} + 1}\right) - 5 \, \left(-4\right)^{\frac{1}{3}} x^{5} \log\left(\frac{6 \, \left(-4\right)^{\frac{1}{3}} {\left(x^{7} - 4 \, x^{4} + x\right)} {\left(x^{6} + 1\right)}^{\frac{2}{3}} + \left(-4\right)^{\frac{2}{3}} {\left(x^{12} - 14 \, x^{9} + 6 \, x^{6} - 14 \, x^{3} + 1\right)} + 24 \, {\left(x^{8} - x^{5} + x^{2}\right)} {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{12} + 4 \, x^{9} + 6 \, x^{6} + 4 \, x^{3} + 1}\right) + 3 \, {\left(2 \, x^{6} - 15 \, x^{3} + 2\right)} {\left(x^{6} + 1\right)}^{\frac{2}{3}}}{30 \, x^{5}}"," ",0,"1/30*(10*sqrt(3)*(-4)^(1/3)*x^5*arctan(1/3*(3*sqrt(3)*(-4)^(2/3)*(x^13 - 2*x^10 - 6*x^7 - 2*x^4 + x)*(x^6 + 1)^(2/3) + 6*sqrt(3)*(-4)^(1/3)*(x^14 - 14*x^11 + 6*x^8 - 14*x^5 + x^2)*(x^6 + 1)^(1/3) - sqrt(3)*(x^18 - 30*x^15 + 51*x^12 - 52*x^9 + 51*x^6 - 30*x^3 + 1))/(x^18 + 6*x^15 - 93*x^12 + 20*x^9 - 93*x^6 + 6*x^3 + 1)) + 10*(-4)^(1/3)*x^5*log((3*(-4)^(2/3)*(x^6 + 1)^(1/3)*x^2 + 6*(x^6 + 1)^(2/3)*x - (-4)^(1/3)*(x^6 + 2*x^3 + 1))/(x^6 + 2*x^3 + 1)) - 5*(-4)^(1/3)*x^5*log((6*(-4)^(1/3)*(x^7 - 4*x^4 + x)*(x^6 + 1)^(2/3) + (-4)^(2/3)*(x^12 - 14*x^9 + 6*x^6 - 14*x^3 + 1) + 24*(x^8 - x^5 + x^2)*(x^6 + 1)^(1/3))/(x^12 + 4*x^9 + 6*x^6 + 4*x^3 + 1)) + 3*(2*x^6 - 15*x^3 + 2)*(x^6 + 1)^(2/3))/x^5","B",0
2012,-1,0,0,0.000000," ","integrate((a*x^2-b^2)^2*(b+(a*x^2+b^2)^(1/2))^(1/2)/(a*x^2+b^2)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2013,1,281,0,2.737309," ","integrate((x^3+2)*(2*x^3+1)^(2/3)/x^6/(x^3-1),x, algorithm=""fricas"")","-\frac{10 \cdot 9^{\frac{1}{3}} \sqrt{3} x^{5} \arctan\left(\frac{2 \cdot 9^{\frac{2}{3}} \sqrt{3} {\left(8 \, x^{7} - 7 \, x^{4} - x\right)} {\left(2 \, x^{3} + 1\right)}^{\frac{2}{3}} - 6 \cdot 9^{\frac{1}{3}} \sqrt{3} {\left(55 \, x^{8} + 25 \, x^{5} + x^{2}\right)} {\left(2 \, x^{3} + 1\right)}^{\frac{1}{3}} - \sqrt{3} {\left(377 \, x^{9} + 300 \, x^{6} + 51 \, x^{3} + 1\right)}}{3 \, {\left(487 \, x^{9} + 240 \, x^{6} + 3 \, x^{3} - 1\right)}}\right) - 10 \cdot 9^{\frac{1}{3}} x^{5} \log\left(\frac{3 \cdot 9^{\frac{2}{3}} {\left(2 \, x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 9 \, {\left(2 \, x^{3} + 1\right)}^{\frac{2}{3}} x - 9^{\frac{1}{3}} {\left(x^{3} - 1\right)}}{x^{3} - 1}\right) + 5 \cdot 9^{\frac{1}{3}} x^{5} \log\left(\frac{9 \cdot 9^{\frac{1}{3}} {\left(8 \, x^{4} + x\right)} {\left(2 \, x^{3} + 1\right)}^{\frac{2}{3}} + 9^{\frac{2}{3}} {\left(55 \, x^{6} + 25 \, x^{3} + 1\right)} + 27 \, {\left(7 \, x^{5} + 2 \, x^{2}\right)} {\left(2 \, x^{3} + 1\right)}^{\frac{1}{3}}}{x^{6} - 2 \, x^{3} + 1}\right) - 3 \, {\left(23 \, x^{3} + 4\right)} {\left(2 \, x^{3} + 1\right)}^{\frac{2}{3}}}{30 \, x^{5}}"," ",0,"-1/30*(10*9^(1/3)*sqrt(3)*x^5*arctan(1/3*(2*9^(2/3)*sqrt(3)*(8*x^7 - 7*x^4 - x)*(2*x^3 + 1)^(2/3) - 6*9^(1/3)*sqrt(3)*(55*x^8 + 25*x^5 + x^2)*(2*x^3 + 1)^(1/3) - sqrt(3)*(377*x^9 + 300*x^6 + 51*x^3 + 1))/(487*x^9 + 240*x^6 + 3*x^3 - 1)) - 10*9^(1/3)*x^5*log((3*9^(2/3)*(2*x^3 + 1)^(1/3)*x^2 - 9*(2*x^3 + 1)^(2/3)*x - 9^(1/3)*(x^3 - 1))/(x^3 - 1)) + 5*9^(1/3)*x^5*log((9*9^(1/3)*(8*x^4 + x)*(2*x^3 + 1)^(2/3) + 9^(2/3)*(55*x^6 + 25*x^3 + 1) + 27*(7*x^5 + 2*x^2)*(2*x^3 + 1)^(1/3))/(x^6 - 2*x^3 + 1)) - 3*(23*x^3 + 4)*(2*x^3 + 1)^(2/3))/x^5","B",0
2014,-1,0,0,0.000000," ","integrate((x^2-4)*(-2*x^4-x^2+2)^(1/4)/x^2/(x^2-2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2015,1,174,0,0.621009," ","integrate(1/(1+x)/(-x^4+x^2+2*x-2)^(3/2),x, algorithm=""fricas"")","-\frac{7 \, \sqrt{5} {\left(x^{5} - x^{4} - x^{3} - x^{2} + 4 \, x - 2\right)} \arctan\left(\frac{\sqrt{5} \sqrt{-x^{4} + x^{2} + 2 \, x - 2} {\left(2 \, x + 3\right)}}{5 \, {\left(x^{3} + x^{2} - 2\right)}}\right) - 25 \, {\left(x^{5} - x^{4} - x^{3} - x^{2} + 4 \, x - 2\right)} \arctan\left(\frac{\sqrt{-x^{4} + x^{2} + 2 \, x - 2}}{x^{3} + x^{2} - 2}\right) + 10 \, \sqrt{-x^{4} + x^{2} + 2 \, x - 2} {\left(x^{3} - 2 \, x^{2} - 2 \, x + 4\right)}}{200 \, {\left(x^{5} - x^{4} - x^{3} - x^{2} + 4 \, x - 2\right)}}"," ",0,"-1/200*(7*sqrt(5)*(x^5 - x^4 - x^3 - x^2 + 4*x - 2)*arctan(1/5*sqrt(5)*sqrt(-x^4 + x^2 + 2*x - 2)*(2*x + 3)/(x^3 + x^2 - 2)) - 25*(x^5 - x^4 - x^3 - x^2 + 4*x - 2)*arctan(sqrt(-x^4 + x^2 + 2*x - 2)/(x^3 + x^2 - 2)) + 10*sqrt(-x^4 + x^2 + 2*x - 2)*(x^3 - 2*x^2 - 2*x + 4))/(x^5 - x^4 - x^3 - x^2 + 4*x - 2)","A",0
2016,1,404,0,107.937700," ","integrate((2*x^4-3)*(2*x^4+1)^(2/3)/x^3/(4*x^4-x^3+2),x, algorithm=""fricas"")","-\frac{4 \cdot 4^{\frac{1}{6}} \sqrt{3} x^{2} \arctan\left(\frac{4^{\frac{1}{6}} \sqrt{3} {\left(12 \cdot 4^{\frac{2}{3}} {\left(8 \, x^{9} + 2 \, x^{8} - x^{7} + 8 \, x^{5} + x^{4} + 2 \, x\right)} {\left(2 \, x^{4} + 1\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} {\left(64 \, x^{12} + 240 \, x^{11} + 48 \, x^{10} - x^{9} + 96 \, x^{8} + 240 \, x^{7} + 24 \, x^{6} + 48 \, x^{4} + 60 \, x^{3} + 8\right)} + 12 \, {\left(16 \, x^{10} + 28 \, x^{9} + x^{8} + 16 \, x^{6} + 14 \, x^{5} + 4 \, x^{2}\right)} {\left(2 \, x^{4} + 1\right)}^{\frac{1}{3}}\right)}}{6 \, {\left(64 \, x^{12} - 48 \, x^{11} - 96 \, x^{10} - x^{9} + 96 \, x^{8} - 48 \, x^{7} - 48 \, x^{6} + 48 \, x^{4} - 12 \, x^{3} + 8\right)}}\right) - 2 \cdot 4^{\frac{2}{3}} x^{2} \log\left(\frac{6 \cdot 4^{\frac{1}{3}} {\left(2 \, x^{4} + 1\right)}^{\frac{1}{3}} x^{2} + 4^{\frac{2}{3}} {\left(4 \, x^{4} - x^{3} + 2\right)} - 12 \, {\left(2 \, x^{4} + 1\right)}^{\frac{2}{3}} x}{4 \, x^{4} - x^{3} + 2}\right) + 4^{\frac{2}{3}} x^{2} \log\left(\frac{6 \cdot 4^{\frac{2}{3}} {\left(2 \, x^{5} + x^{4} + x\right)} {\left(2 \, x^{4} + 1\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} {\left(16 \, x^{8} + 28 \, x^{7} + x^{6} + 16 \, x^{4} + 14 \, x^{3} + 4\right)} + 6 \, {\left(8 \, x^{6} + x^{5} + 4 \, x^{2}\right)} {\left(2 \, x^{4} + 1\right)}^{\frac{1}{3}}}{16 \, x^{8} - 8 \, x^{7} + x^{6} + 16 \, x^{4} - 4 \, x^{3} + 4}\right) - 36 \, {\left(2 \, x^{4} + 1\right)}^{\frac{2}{3}}}{48 \, x^{2}}"," ",0,"-1/48*(4*4^(1/6)*sqrt(3)*x^2*arctan(1/6*4^(1/6)*sqrt(3)*(12*4^(2/3)*(8*x^9 + 2*x^8 - x^7 + 8*x^5 + x^4 + 2*x)*(2*x^4 + 1)^(2/3) + 4^(1/3)*(64*x^12 + 240*x^11 + 48*x^10 - x^9 + 96*x^8 + 240*x^7 + 24*x^6 + 48*x^4 + 60*x^3 + 8) + 12*(16*x^10 + 28*x^9 + x^8 + 16*x^6 + 14*x^5 + 4*x^2)*(2*x^4 + 1)^(1/3))/(64*x^12 - 48*x^11 - 96*x^10 - x^9 + 96*x^8 - 48*x^7 - 48*x^6 + 48*x^4 - 12*x^3 + 8)) - 2*4^(2/3)*x^2*log((6*4^(1/3)*(2*x^4 + 1)^(1/3)*x^2 + 4^(2/3)*(4*x^4 - x^3 + 2) - 12*(2*x^4 + 1)^(2/3)*x)/(4*x^4 - x^3 + 2)) + 4^(2/3)*x^2*log((6*4^(2/3)*(2*x^5 + x^4 + x)*(2*x^4 + 1)^(2/3) + 4^(1/3)*(16*x^8 + 28*x^7 + x^6 + 16*x^4 + 14*x^3 + 4) + 6*(8*x^6 + x^5 + 4*x^2)*(2*x^4 + 1)^(1/3))/(16*x^8 - 8*x^7 + x^6 + 16*x^4 - 4*x^3 + 4)) - 36*(2*x^4 + 1)^(2/3))/x^2","B",0
2017,1,520,0,155.269138," ","integrate((a*x^3-b)/x^6/(a*x^3+b)/(a*x^4-b*x)^(1/4),x, algorithm=""fricas"")","\frac{84 \cdot 8^{\frac{1}{4}} b^{2} x^{6} \left(\frac{a^{7}}{b^{8}}\right)^{\frac{1}{4}} \arctan\left(\frac{16 \cdot 8^{\frac{1}{4}} {\left(a x^{4} - b x\right)}^{\frac{1}{4}} a^{9} b^{2} x^{2} \left(\frac{a^{7}}{b^{8}}\right)^{\frac{1}{4}} + 4 \cdot 8^{\frac{3}{4}} {\left(a x^{4} - b x\right)}^{\frac{3}{4}} a^{5} b^{6} \left(\frac{a^{7}}{b^{8}}\right)^{\frac{3}{4}} + \sqrt{2} \sqrt{\sqrt{2} a^{6} b^{4} \sqrt{\frac{a^{7}}{b^{8}}}} {\left(8 \cdot 8^{\frac{1}{4}} \sqrt{a x^{4} - b x} a^{4} b^{2} x \left(\frac{a^{7}}{b^{8}}\right)^{\frac{1}{4}} + 8^{\frac{3}{4}} {\left(3 \, a b^{6} x^{3} - b^{7}\right)} \left(\frac{a^{7}}{b^{8}}\right)^{\frac{3}{4}}\right)}}{8 \, {\left(a^{11} x^{3} + a^{10} b\right)}}\right) - 21 \cdot 8^{\frac{1}{4}} b^{2} x^{6} \left(\frac{a^{7}}{b^{8}}\right)^{\frac{1}{4}} \log\left(\frac{4 \, \sqrt{2} {\left(a x^{4} - b x\right)}^{\frac{1}{4}} a^{2} b^{4} x^{2} \sqrt{\frac{a^{7}}{b^{8}}} + 8^{\frac{3}{4}} \sqrt{a x^{4} - b x} b^{6} x \left(\frac{a^{7}}{b^{8}}\right)^{\frac{3}{4}} + 4 \, {\left(a x^{4} - b x\right)}^{\frac{3}{4}} a^{5} + 8^{\frac{1}{4}} {\left(3 \, a^{4} b^{2} x^{3} - a^{3} b^{3}\right)} \left(\frac{a^{7}}{b^{8}}\right)^{\frac{1}{4}}}{a x^{3} + b}\right) + 21 \cdot 8^{\frac{1}{4}} b^{2} x^{6} \left(\frac{a^{7}}{b^{8}}\right)^{\frac{1}{4}} \log\left(\frac{4 \, \sqrt{2} {\left(a x^{4} - b x\right)}^{\frac{1}{4}} a^{2} b^{4} x^{2} \sqrt{\frac{a^{7}}{b^{8}}} - 8^{\frac{3}{4}} \sqrt{a x^{4} - b x} b^{6} x \left(\frac{a^{7}}{b^{8}}\right)^{\frac{3}{4}} + 4 \, {\left(a x^{4} - b x\right)}^{\frac{3}{4}} a^{5} - 8^{\frac{1}{4}} {\left(3 \, a^{4} b^{2} x^{3} - a^{3} b^{3}\right)} \left(\frac{a^{7}}{b^{8}}\right)^{\frac{1}{4}}}{a x^{3} + b}\right) + 8 \, {\left(a x^{4} - b x\right)}^{\frac{3}{4}} {\left(10 \, a x^{3} - 3 \, b\right)}}{126 \, b^{2} x^{6}}"," ",0,"1/126*(84*8^(1/4)*b^2*x^6*(a^7/b^8)^(1/4)*arctan(1/8*(16*8^(1/4)*(a*x^4 - b*x)^(1/4)*a^9*b^2*x^2*(a^7/b^8)^(1/4) + 4*8^(3/4)*(a*x^4 - b*x)^(3/4)*a^5*b^6*(a^7/b^8)^(3/4) + sqrt(2)*sqrt(sqrt(2)*a^6*b^4*sqrt(a^7/b^8))*(8*8^(1/4)*sqrt(a*x^4 - b*x)*a^4*b^2*x*(a^7/b^8)^(1/4) + 8^(3/4)*(3*a*b^6*x^3 - b^7)*(a^7/b^8)^(3/4)))/(a^11*x^3 + a^10*b)) - 21*8^(1/4)*b^2*x^6*(a^7/b^8)^(1/4)*log((4*sqrt(2)*(a*x^4 - b*x)^(1/4)*a^2*b^4*x^2*sqrt(a^7/b^8) + 8^(3/4)*sqrt(a*x^4 - b*x)*b^6*x*(a^7/b^8)^(3/4) + 4*(a*x^4 - b*x)^(3/4)*a^5 + 8^(1/4)*(3*a^4*b^2*x^3 - a^3*b^3)*(a^7/b^8)^(1/4))/(a*x^3 + b)) + 21*8^(1/4)*b^2*x^6*(a^7/b^8)^(1/4)*log((4*sqrt(2)*(a*x^4 - b*x)^(1/4)*a^2*b^4*x^2*sqrt(a^7/b^8) - 8^(3/4)*sqrt(a*x^4 - b*x)*b^6*x*(a^7/b^8)^(3/4) + 4*(a*x^4 - b*x)^(3/4)*a^5 - 8^(1/4)*(3*a^4*b^2*x^3 - a^3*b^3)*(a^7/b^8)^(1/4))/(a*x^3 + b)) + 8*(a*x^4 - b*x)^(3/4)*(10*a*x^3 - 3*b))/(b^2*x^6)","B",0
2018,1,276,0,2.641083," ","integrate((x^3-1)^(2/3)*(x^6+4*x^3+4)/x^9/(x^3+1),x, algorithm=""fricas"")","-\frac{10 \, \sqrt{3} \left(-4\right)^{\frac{1}{3}} x^{8} \arctan\left(\frac{3 \, \sqrt{3} \left(-4\right)^{\frac{2}{3}} {\left(5 \, x^{7} + 4 \, x^{4} - x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} + 6 \, \sqrt{3} \left(-4\right)^{\frac{1}{3}} {\left(19 \, x^{8} - 16 \, x^{5} + x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}} - \sqrt{3} {\left(71 \, x^{9} - 111 \, x^{6} + 33 \, x^{3} - 1\right)}}{3 \, {\left(109 \, x^{9} - 105 \, x^{6} + 3 \, x^{3} + 1\right)}}\right) - 10 \, \left(-4\right)^{\frac{1}{3}} x^{8} \log\left(-\frac{3 \, \left(-4\right)^{\frac{2}{3}} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} - 6 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + \left(-4\right)^{\frac{1}{3}} {\left(x^{3} + 1\right)}}{x^{3} + 1}\right) + 5 \, \left(-4\right)^{\frac{1}{3}} x^{8} \log\left(-\frac{6 \, \left(-4\right)^{\frac{1}{3}} {\left(5 \, x^{4} - x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} - \left(-4\right)^{\frac{2}{3}} {\left(19 \, x^{6} - 16 \, x^{3} + 1\right)} - 24 \, {\left(2 \, x^{5} - x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x^{6} + 2 \, x^{3} + 1}\right) + 9 \, {\left(2 \, x^{6} - 2 \, x^{3} + 5\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{90 \, x^{8}}"," ",0,"-1/90*(10*sqrt(3)*(-4)^(1/3)*x^8*arctan(1/3*(3*sqrt(3)*(-4)^(2/3)*(5*x^7 + 4*x^4 - x)*(x^3 - 1)^(2/3) + 6*sqrt(3)*(-4)^(1/3)*(19*x^8 - 16*x^5 + x^2)*(x^3 - 1)^(1/3) - sqrt(3)*(71*x^9 - 111*x^6 + 33*x^3 - 1))/(109*x^9 - 105*x^6 + 3*x^3 + 1)) - 10*(-4)^(1/3)*x^8*log(-(3*(-4)^(2/3)*(x^3 - 1)^(1/3)*x^2 - 6*(x^3 - 1)^(2/3)*x + (-4)^(1/3)*(x^3 + 1))/(x^3 + 1)) + 5*(-4)^(1/3)*x^8*log(-(6*(-4)^(1/3)*(5*x^4 - x)*(x^3 - 1)^(2/3) - (-4)^(2/3)*(19*x^6 - 16*x^3 + 1) - 24*(2*x^5 - x^2)*(x^3 - 1)^(1/3))/(x^6 + 2*x^3 + 1)) + 9*(2*x^6 - 2*x^3 + 5)*(x^3 - 1)^(2/3))/x^8","B",0
2019,1,271,0,2.736675," ","integrate((x^3+1)^(2/3)*(2*x^6-2*x^3-1)/x^9/(x^3-1),x, algorithm=""fricas"")","-\frac{40 \, \sqrt{3} \left(-4\right)^{\frac{1}{3}} x^{8} \arctan\left(\frac{3 \, \sqrt{3} \left(-4\right)^{\frac{2}{3}} {\left(5 \, x^{7} - 4 \, x^{4} - x\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}} + 6 \, \sqrt{3} \left(-4\right)^{\frac{1}{3}} {\left(19 \, x^{8} + 16 \, x^{5} + x^{2}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}} - \sqrt{3} {\left(71 \, x^{9} + 111 \, x^{6} + 33 \, x^{3} + 1\right)}}{3 \, {\left(109 \, x^{9} + 105 \, x^{6} + 3 \, x^{3} - 1\right)}}\right) - 40 \, \left(-4\right)^{\frac{1}{3}} x^{8} \log\left(\frac{3 \, \left(-4\right)^{\frac{2}{3}} {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 6 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + \left(-4\right)^{\frac{1}{3}} {\left(x^{3} - 1\right)}}{x^{3} - 1}\right) + 20 \, \left(-4\right)^{\frac{1}{3}} x^{8} \log\left(-\frac{6 \, \left(-4\right)^{\frac{1}{3}} {\left(5 \, x^{4} + x\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}} - \left(-4\right)^{\frac{2}{3}} {\left(19 \, x^{6} + 16 \, x^{3} + 1\right)} - 24 \, {\left(2 \, x^{5} + x^{2}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x^{6} - 2 \, x^{3} + 1}\right) + 9 \, {\left(41 \, x^{6} + 26 \, x^{3} + 5\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{360 \, x^{8}}"," ",0,"-1/360*(40*sqrt(3)*(-4)^(1/3)*x^8*arctan(1/3*(3*sqrt(3)*(-4)^(2/3)*(5*x^7 - 4*x^4 - x)*(x^3 + 1)^(2/3) + 6*sqrt(3)*(-4)^(1/3)*(19*x^8 + 16*x^5 + x^2)*(x^3 + 1)^(1/3) - sqrt(3)*(71*x^9 + 111*x^6 + 33*x^3 + 1))/(109*x^9 + 105*x^6 + 3*x^3 - 1)) - 40*(-4)^(1/3)*x^8*log((3*(-4)^(2/3)*(x^3 + 1)^(1/3)*x^2 - 6*(x^3 + 1)^(2/3)*x + (-4)^(1/3)*(x^3 - 1))/(x^3 - 1)) + 20*(-4)^(1/3)*x^8*log(-(6*(-4)^(1/3)*(5*x^4 + x)*(x^3 + 1)^(2/3) - (-4)^(2/3)*(19*x^6 + 16*x^3 + 1) - 24*(2*x^5 + x^2)*(x^3 + 1)^(1/3))/(x^6 - 2*x^3 + 1)) + 9*(41*x^6 + 26*x^3 + 5)*(x^3 + 1)^(2/3))/x^8","B",0
2020,-1,0,0,0.000000," ","integrate(1/(a^4*x^4-b^4)^(1/4)/(a^8*x^8-b^8-c*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2021,-1,0,0,0.000000," ","integrate(1/(a^4*x^4-b^4)^(1/4)/(a^8*x^8-b^8-c*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2022,1,64,0,2.448990," ","integrate((x-(x^2+1)^(1/2))/(1+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{3 \, \sqrt{2} x \arctan\left(\frac{\sqrt{2} \sqrt{\sqrt{x^{2} + 1} + 1}}{x}\right) - 2 \, {\left(x^{2} - \sqrt{x^{2} + 1} {\left(x + 2\right)} + 2 \, x + 2\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{3 \, x}"," ",0,"1/3*(3*sqrt(2)*x*arctan(sqrt(2)*sqrt(sqrt(x^2 + 1) + 1)/x) - 2*(x^2 - sqrt(x^2 + 1)*(x + 2) + 2*x + 2)*sqrt(sqrt(x^2 + 1) + 1))/x","A",0
2023,1,267,0,4.496602," ","integrate((x^3-4)*(x^3-2)*(x^3-1)^(2/3)/x^9/(3*x^3-2),x, algorithm=""fricas"")","\frac{100 \cdot 4^{\frac{1}{6}} \sqrt{3} x^{8} \arctan\left(\frac{4^{\frac{1}{6}} {\left(12 \cdot 4^{\frac{2}{3}} \sqrt{3} {\left(3 \, x^{4} - 2 \, x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} - 4^{\frac{1}{3}} \sqrt{3} {\left(27 \, x^{9} - 72 \, x^{6} + 36 \, x^{3} + 8\right)} - 12 \, \sqrt{3} {\left(9 \, x^{8} - 6 \, x^{5} - 4 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}\right)}}{6 \, {\left(27 \, x^{9} - 36 \, x^{3} + 8\right)}}\right) + 50 \cdot 4^{\frac{2}{3}} x^{8} \log\left(\frac{6 \cdot 4^{\frac{1}{3}} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 4^{\frac{2}{3}} {\left(3 \, x^{3} - 2\right)} + 12 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x}{3 \, x^{3} - 2}\right) - 25 \cdot 4^{\frac{2}{3}} x^{8} \log\left(\frac{6 \cdot 4^{\frac{2}{3}} {\left(x^{3} - 1\right)}^{\frac{2}{3}} x - 4^{\frac{1}{3}} {\left(9 \, x^{6} - 6 \, x^{3} - 4\right)} + 6 \, {\left(3 \, x^{5} - 4 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{9 \, x^{6} - 12 \, x^{3} + 4}\right) + 36 \, {\left(16 \, x^{6} + 4 \, x^{3} + 5\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{360 \, x^{8}}"," ",0,"1/360*(100*4^(1/6)*sqrt(3)*x^8*arctan(1/6*4^(1/6)*(12*4^(2/3)*sqrt(3)*(3*x^4 - 2*x)*(x^3 - 1)^(2/3) - 4^(1/3)*sqrt(3)*(27*x^9 - 72*x^6 + 36*x^3 + 8) - 12*sqrt(3)*(9*x^8 - 6*x^5 - 4*x^2)*(x^3 - 1)^(1/3))/(27*x^9 - 36*x^3 + 8)) + 50*4^(2/3)*x^8*log((6*4^(1/3)*(x^3 - 1)^(1/3)*x^2 + 4^(2/3)*(3*x^3 - 2) + 12*(x^3 - 1)^(2/3)*x)/(3*x^3 - 2)) - 25*4^(2/3)*x^8*log((6*4^(2/3)*(x^3 - 1)^(2/3)*x - 4^(1/3)*(9*x^6 - 6*x^3 - 4) + 6*(3*x^5 - 4*x^2)*(x^3 - 1)^(1/3))/(9*x^6 - 12*x^3 + 4)) + 36*(16*x^6 + 4*x^3 + 5)*(x^3 - 1)^(2/3))/x^8","B",0
2024,1,168,0,0.471125," ","integrate(1/(-1+x)/(x^4-3*x^3-2*x^2)^(3/2),x, algorithm=""fricas"")","-\frac{906 \, x^{5} - 2718 \, x^{4} - 1812 \, x^{3} - 2023 \, \sqrt{2} {\left(x^{5} - 3 \, x^{4} - 2 \, x^{3}\right)} \arctan\left(-\frac{\sqrt{2} x^{2} - \sqrt{2} \sqrt{x^{4} - 3 \, x^{3} - 2 \, x^{2}}}{2 \, x}\right) + 272 \, {\left(x^{5} - 3 \, x^{4} - 2 \, x^{3}\right)} \arctan\left(-\frac{x^{2} - x - \sqrt{x^{4} - 3 \, x^{3} - 2 \, x^{2}}}{2 \, x}\right) + 2 \, \sqrt{x^{4} - 3 \, x^{3} - 2 \, x^{2}} {\left(453 \, x^{3} - 1555 \, x^{2} - 238 \, x + 136\right)}}{1088 \, {\left(x^{5} - 3 \, x^{4} - 2 \, x^{3}\right)}}"," ",0,"-1/1088*(906*x^5 - 2718*x^4 - 1812*x^3 - 2023*sqrt(2)*(x^5 - 3*x^4 - 2*x^3)*arctan(-1/2*(sqrt(2)*x^2 - sqrt(2)*sqrt(x^4 - 3*x^3 - 2*x^2))/x) + 272*(x^5 - 3*x^4 - 2*x^3)*arctan(-1/2*(x^2 - x - sqrt(x^4 - 3*x^3 - 2*x^2))/x) + 2*sqrt(x^4 - 3*x^3 - 2*x^2)*(453*x^3 - 1555*x^2 - 238*x + 136))/(x^5 - 3*x^4 - 2*x^3)","A",0
2025,1,355,0,126.319621," ","integrate(1/(2*a*x^3+b)/(a*x^4+b*x)^(1/4),x, algorithm=""fricas"")","-\frac{2}{3} \, \left(-\frac{1}{a b^{4}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(a b^{4} \sqrt{\frac{1}{b^{2}}} x \left(-\frac{1}{a b^{4}}\right)^{\frac{3}{4}} + a b^{3} x \left(-\frac{1}{a b^{4}}\right)^{\frac{3}{4}}\right)} {\left(a x^{4} + b x\right)}^{\frac{3}{4}} - {\left(a x^{4} + b x\right)}^{\frac{1}{4}} {\left({\left(a b^{2} x^{3} + b^{3}\right)} \sqrt{\frac{1}{b^{2}}} \left(-\frac{1}{a b^{4}}\right)^{\frac{1}{4}} - {\left(a b x^{3} + b^{2}\right)} \left(-\frac{1}{a b^{4}}\right)^{\frac{1}{4}}\right)}}{2 \, {\left(a x^{4} + b x\right)}}\right) + \frac{1}{6} \, \left(-\frac{1}{a b^{4}}\right)^{\frac{1}{4}} \log\left(-\frac{2 \, {\left(a x^{4} + b x\right)}^{\frac{3}{4}} a b^{2} \left(-\frac{1}{a b^{4}}\right)^{\frac{3}{4}} + 2 \, \sqrt{a x^{4} + b x} a b x \sqrt{-\frac{1}{a b^{4}}} + 2 \, {\left(a x^{4} + b x\right)}^{\frac{1}{4}} a x^{2} \left(-\frac{1}{a b^{4}}\right)^{\frac{1}{4}} - 1}{2 \, a x^{3} + b}\right) - \frac{1}{6} \, \left(-\frac{1}{a b^{4}}\right)^{\frac{1}{4}} \log\left(\frac{2 \, {\left(a x^{4} + b x\right)}^{\frac{3}{4}} a b^{2} \left(-\frac{1}{a b^{4}}\right)^{\frac{3}{4}} - 2 \, \sqrt{a x^{4} + b x} a b x \sqrt{-\frac{1}{a b^{4}}} + 2 \, {\left(a x^{4} + b x\right)}^{\frac{1}{4}} a x^{2} \left(-\frac{1}{a b^{4}}\right)^{\frac{1}{4}} + 1}{2 \, a x^{3} + b}\right)"," ",0,"-2/3*(-1/(a*b^4))^(1/4)*arctan(1/2*((a*b^4*sqrt(b^(-2))*x*(-1/(a*b^4))^(3/4) + a*b^3*x*(-1/(a*b^4))^(3/4))*(a*x^4 + b*x)^(3/4) - (a*x^4 + b*x)^(1/4)*((a*b^2*x^3 + b^3)*sqrt(b^(-2))*(-1/(a*b^4))^(1/4) - (a*b*x^3 + b^2)*(-1/(a*b^4))^(1/4)))/(a*x^4 + b*x)) + 1/6*(-1/(a*b^4))^(1/4)*log(-(2*(a*x^4 + b*x)^(3/4)*a*b^2*(-1/(a*b^4))^(3/4) + 2*sqrt(a*x^4 + b*x)*a*b*x*sqrt(-1/(a*b^4)) + 2*(a*x^4 + b*x)^(1/4)*a*x^2*(-1/(a*b^4))^(1/4) - 1)/(2*a*x^3 + b)) - 1/6*(-1/(a*b^4))^(1/4)*log((2*(a*x^4 + b*x)^(3/4)*a*b^2*(-1/(a*b^4))^(3/4) - 2*sqrt(a*x^4 + b*x)*a*b*x*sqrt(-1/(a*b^4)) + 2*(a*x^4 + b*x)^(1/4)*a*x^2*(-1/(a*b^4))^(1/4) + 1)/(2*a*x^3 + b))","B",0
2026,-1,0,0,0.000000," ","integrate((-x^7+1)^(1/3)*(2*x^7+x^3-2)*(4*x^7+3)/x^2/(x^7-1)/(4*x^7+x^3-4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2027,1,172,0,0.589327," ","integrate((x^2-1)*(x^2+1)^3*((x^2+1)^2)^(1/2)/(x^4+1)/(x^8-x^6+x^4-x^2+1),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{2} \sqrt{\sqrt{5} + 5} \log\left(2 \, x^{2} + \sqrt{2} x \sqrt{\sqrt{5} + 5} + 2\right) + \frac{1}{4} \, \sqrt{2} \sqrt{\sqrt{5} + 5} \log\left(2 \, x^{2} - \sqrt{2} x \sqrt{\sqrt{5} + 5} + 2\right) - \frac{1}{4} \, \sqrt{2} \sqrt{-\sqrt{5} + 5} \log\left(2 \, x^{2} + \sqrt{2} x \sqrt{-\sqrt{5} + 5} + 2\right) + \frac{1}{4} \, \sqrt{2} \sqrt{-\sqrt{5} + 5} \log\left(2 \, x^{2} - \sqrt{2} x \sqrt{-\sqrt{5} + 5} + 2\right) + \sqrt{2} \log\left(\frac{x^{4} + 4 \, x^{2} + 2 \, \sqrt{2} {\left(x^{3} + x\right)} + 1}{x^{4} + 1}\right)"," ",0,"-1/4*sqrt(2)*sqrt(sqrt(5) + 5)*log(2*x^2 + sqrt(2)*x*sqrt(sqrt(5) + 5) + 2) + 1/4*sqrt(2)*sqrt(sqrt(5) + 5)*log(2*x^2 - sqrt(2)*x*sqrt(sqrt(5) + 5) + 2) - 1/4*sqrt(2)*sqrt(-sqrt(5) + 5)*log(2*x^2 + sqrt(2)*x*sqrt(-sqrt(5) + 5) + 2) + 1/4*sqrt(2)*sqrt(-sqrt(5) + 5)*log(2*x^2 - sqrt(2)*x*sqrt(-sqrt(5) + 5) + 2) + sqrt(2)*log((x^4 + 4*x^2 + 2*sqrt(2)*(x^3 + x) + 1)/(x^4 + 1))","B",0
2028,1,282,0,45.263285," ","integrate(1/x^2/(b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{\frac{1}{2}} a x^{3} \sqrt{-\frac{a}{b}} \log\left(-\frac{a^{2} x^{3} + 4 \, a b^{2} x - 4 \, \sqrt{a x^{2} + b^{2}} a b x + 4 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{a x^{2} + b^{2}} b^{2} \sqrt{-\frac{a}{b}} - \sqrt{\frac{1}{2}} {\left(a b x^{2} + 2 \, b^{3}\right)} \sqrt{-\frac{a}{b}}\right)} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{x^{3}}\right) - 2 \, {\left(a x^{2} - 2 \, b^{2} + 2 \, \sqrt{a x^{2} + b^{2}} b\right)} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{8 \, a b x^{3}}, \frac{\sqrt{\frac{1}{2}} a x^{3} \sqrt{\frac{a}{b}} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{b + \sqrt{a x^{2} + b^{2}}} b \sqrt{\frac{a}{b}}}{a x}\right) - {\left(a x^{2} - 2 \, b^{2} + 2 \, \sqrt{a x^{2} + b^{2}} b\right)} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{4 \, a b x^{3}}\right]"," ",0,"[1/8*(sqrt(1/2)*a*x^3*sqrt(-a/b)*log(-(a^2*x^3 + 4*a*b^2*x - 4*sqrt(a*x^2 + b^2)*a*b*x + 4*(2*sqrt(1/2)*sqrt(a*x^2 + b^2)*b^2*sqrt(-a/b) - sqrt(1/2)*(a*b*x^2 + 2*b^3)*sqrt(-a/b))*sqrt(b + sqrt(a*x^2 + b^2)))/x^3) - 2*(a*x^2 - 2*b^2 + 2*sqrt(a*x^2 + b^2)*b)*sqrt(b + sqrt(a*x^2 + b^2)))/(a*b*x^3), 1/4*(sqrt(1/2)*a*x^3*sqrt(a/b)*arctan(2*sqrt(1/2)*sqrt(b + sqrt(a*x^2 + b^2))*b*sqrt(a/b)/(a*x)) - (a*x^2 - 2*b^2 + 2*sqrt(a*x^2 + b^2)*b)*sqrt(b + sqrt(a*x^2 + b^2)))/(a*b*x^3)]","A",0
2029,1,122,0,0.465629," ","integrate((a*x^3-b)^(1/4)/x,x, algorithm=""fricas"")","-\frac{4}{3} \, \left(-b\right)^{\frac{1}{4}} \arctan\left(\frac{\left(-b\right)^{\frac{3}{4}} \sqrt{\sqrt{a x^{3} - b} + \sqrt{-b}} - {\left(a x^{3} - b\right)}^{\frac{1}{4}} \left(-b\right)^{\frac{3}{4}}}{b}\right) - \frac{1}{3} \, \left(-b\right)^{\frac{1}{4}} \log\left({\left(a x^{3} - b\right)}^{\frac{1}{4}} + \left(-b\right)^{\frac{1}{4}}\right) + \frac{1}{3} \, \left(-b\right)^{\frac{1}{4}} \log\left({\left(a x^{3} - b\right)}^{\frac{1}{4}} - \left(-b\right)^{\frac{1}{4}}\right) + \frac{4}{3} \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}"," ",0,"-4/3*(-b)^(1/4)*arctan(((-b)^(3/4)*sqrt(sqrt(a*x^3 - b) + sqrt(-b)) - (a*x^3 - b)^(1/4)*(-b)^(3/4))/b) - 1/3*(-b)^(1/4)*log((a*x^3 - b)^(1/4) + (-b)^(1/4)) + 1/3*(-b)^(1/4)*log((a*x^3 - b)^(1/4) - (-b)^(1/4)) + 4/3*(a*x^3 - b)^(1/4)","A",0
2030,1,159,0,0.483997," ","integrate((a*x^3-b)^(3/4)/x,x, algorithm=""fricas"")","\frac{4}{3} \, \left(-b^{3}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{3} - b\right)}^{\frac{1}{4}} \left(-b^{3}\right)^{\frac{1}{4}} b^{2} - \sqrt{\sqrt{a x^{3} - b} b^{4} - \sqrt{-b^{3}} b^{3}} \left(-b^{3}\right)^{\frac{1}{4}}}{b^{3}}\right) - \frac{1}{3} \, \left(-b^{3}\right)^{\frac{1}{4}} \log\left({\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{2} + \left(-b^{3}\right)^{\frac{3}{4}}\right) + \frac{1}{3} \, \left(-b^{3}\right)^{\frac{1}{4}} \log\left({\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{2} - \left(-b^{3}\right)^{\frac{3}{4}}\right) + \frac{4}{9} \, {\left(a x^{3} - b\right)}^{\frac{3}{4}}"," ",0,"4/3*(-b^3)^(1/4)*arctan(-((a*x^3 - b)^(1/4)*(-b^3)^(1/4)*b^2 - sqrt(sqrt(a*x^3 - b)*b^4 - sqrt(-b^3)*b^3)*(-b^3)^(1/4))/b^3) - 1/3*(-b^3)^(1/4)*log((a*x^3 - b)^(1/4)*b^2 + (-b^3)^(3/4)) + 1/3*(-b^3)^(1/4)*log((a*x^3 - b)^(1/4)*b^2 - (-b^3)^(3/4)) + 4/9*(a*x^3 - b)^(3/4)","A",0
2031,1,433,0,129.208800," ","integrate((x^4-1)^(2/3)*(x^4+3)*(x^4-x^3-1)/x^6/(2*x^4-x^3-2),x, algorithm=""fricas"")","-\frac{20 \cdot 4^{\frac{1}{6}} \sqrt{3} \left(-1\right)^{\frac{1}{3}} x^{5} \arctan\left(\frac{4^{\frac{1}{6}} \sqrt{3} {\left(12 \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{2}{3}} {\left(2 \, x^{9} + x^{8} - x^{7} - 4 \, x^{5} - x^{4} + 2 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{2}{3}} - 12 \, \left(-1\right)^{\frac{1}{3}} {\left(4 \, x^{10} + 14 \, x^{9} + x^{8} - 8 \, x^{6} - 14 \, x^{5} + 4 \, x^{2}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{3}} + 4^{\frac{1}{3}} {\left(8 \, x^{12} + 60 \, x^{11} + 24 \, x^{10} - x^{9} - 24 \, x^{8} - 120 \, x^{7} - 24 \, x^{6} + 24 \, x^{4} + 60 \, x^{3} - 8\right)}\right)}}{6 \, {\left(8 \, x^{12} - 12 \, x^{11} - 48 \, x^{10} - x^{9} - 24 \, x^{8} + 24 \, x^{7} + 48 \, x^{6} + 24 \, x^{4} - 12 \, x^{3} - 8\right)}}\right) - 10 \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} x^{5} \log\left(\frac{6 \cdot 4^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{4} - 1\right)}^{\frac{1}{3}} x^{2} - 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(2 \, x^{4} - x^{3} - 2\right)} - 12 \, {\left(x^{4} - 1\right)}^{\frac{2}{3}} x}{2 \, x^{4} - x^{3} - 2}\right) + 5 \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} x^{5} \log\left(-\frac{6 \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{5} + x^{4} - x\right)} {\left(x^{4} - 1\right)}^{\frac{2}{3}} - 4^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(4 \, x^{8} + 14 \, x^{7} + x^{6} - 8 \, x^{4} - 14 \, x^{3} + 4\right)} - 6 \, {\left(4 \, x^{6} + x^{5} - 4 \, x^{2}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{3}}}{4 \, x^{8} - 4 \, x^{7} + x^{6} - 8 \, x^{4} + 4 \, x^{3} + 4}\right) - 36 \, {\left(4 \, x^{4} - 5 \, x^{3} - 4\right)} {\left(x^{4} - 1\right)}^{\frac{2}{3}}}{480 \, x^{5}}"," ",0,"-1/480*(20*4^(1/6)*sqrt(3)*(-1)^(1/3)*x^5*arctan(1/6*4^(1/6)*sqrt(3)*(12*4^(2/3)*(-1)^(2/3)*(2*x^9 + x^8 - x^7 - 4*x^5 - x^4 + 2*x)*(x^4 - 1)^(2/3) - 12*(-1)^(1/3)*(4*x^10 + 14*x^9 + x^8 - 8*x^6 - 14*x^5 + 4*x^2)*(x^4 - 1)^(1/3) + 4^(1/3)*(8*x^12 + 60*x^11 + 24*x^10 - x^9 - 24*x^8 - 120*x^7 - 24*x^6 + 24*x^4 + 60*x^3 - 8))/(8*x^12 - 12*x^11 - 48*x^10 - x^9 - 24*x^8 + 24*x^7 + 48*x^6 + 24*x^4 - 12*x^3 - 8)) - 10*4^(2/3)*(-1)^(1/3)*x^5*log((6*4^(1/3)*(-1)^(2/3)*(x^4 - 1)^(1/3)*x^2 - 4^(2/3)*(-1)^(1/3)*(2*x^4 - x^3 - 2) - 12*(x^4 - 1)^(2/3)*x)/(2*x^4 - x^3 - 2)) + 5*4^(2/3)*(-1)^(1/3)*x^5*log(-(6*4^(2/3)*(-1)^(1/3)*(x^5 + x^4 - x)*(x^4 - 1)^(2/3) - 4^(1/3)*(-1)^(2/3)*(4*x^8 + 14*x^7 + x^6 - 8*x^4 - 14*x^3 + 4) - 6*(4*x^6 + x^5 - 4*x^2)*(x^4 - 1)^(1/3))/(4*x^8 - 4*x^7 + x^6 - 8*x^4 + 4*x^3 + 4)) - 36*(4*x^4 - 5*x^3 - 4)*(x^4 - 1)^(2/3))/x^5","B",0
2032,1,158,0,0.472140," ","integrate((a*x^4-b)^(3/4)/x,x, algorithm=""fricas"")","\left(-b^{3}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}} \left(-b^{3}\right)^{\frac{1}{4}} b^{2} - \sqrt{\sqrt{a x^{4} - b} b^{4} - \sqrt{-b^{3}} b^{3}} \left(-b^{3}\right)^{\frac{1}{4}}}{b^{3}}\right) - \frac{1}{4} \, \left(-b^{3}\right)^{\frac{1}{4}} \log\left({\left(a x^{4} - b\right)}^{\frac{1}{4}} b^{2} + \left(-b^{3}\right)^{\frac{3}{4}}\right) + \frac{1}{4} \, \left(-b^{3}\right)^{\frac{1}{4}} \log\left({\left(a x^{4} - b\right)}^{\frac{1}{4}} b^{2} - \left(-b^{3}\right)^{\frac{3}{4}}\right) + \frac{1}{3} \, {\left(a x^{4} - b\right)}^{\frac{3}{4}}"," ",0,"(-b^3)^(1/4)*arctan(-((a*x^4 - b)^(1/4)*(-b^3)^(1/4)*b^2 - sqrt(sqrt(a*x^4 - b)*b^4 - sqrt(-b^3)*b^3)*(-b^3)^(1/4))/b^3) - 1/4*(-b^3)^(1/4)*log((a*x^4 - b)^(1/4)*b^2 + (-b^3)^(3/4)) + 1/4*(-b^3)^(1/4)*log((a*x^4 - b)^(1/4)*b^2 - (-b^3)^(3/4)) + 1/3*(a*x^4 - b)^(3/4)","A",0
2033,-1,0,0,0.000000," ","integrate((-3*a*b^3+2*b^2*(3*a+b)*x-3*b*(a+b)*x^2+x^4)/(x*(-a+x)*(-b+x)^3)^(1/4)/(a*b^3*d-b^2*(3*a+b)*d*x+3*b*(a+b)*d*x^2-(a*d+3*b*d+1)*x^3+d*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2034,1,159,0,0.512711," ","integrate((a*x^5-b)^(3/4)/x,x, algorithm=""fricas"")","\frac{4}{5} \, \left(-b^{3}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{5} - b\right)}^{\frac{1}{4}} \left(-b^{3}\right)^{\frac{1}{4}} b^{2} - \sqrt{\sqrt{a x^{5} - b} b^{4} - \sqrt{-b^{3}} b^{3}} \left(-b^{3}\right)^{\frac{1}{4}}}{b^{3}}\right) - \frac{1}{5} \, \left(-b^{3}\right)^{\frac{1}{4}} \log\left({\left(a x^{5} - b\right)}^{\frac{1}{4}} b^{2} + \left(-b^{3}\right)^{\frac{3}{4}}\right) + \frac{1}{5} \, \left(-b^{3}\right)^{\frac{1}{4}} \log\left({\left(a x^{5} - b\right)}^{\frac{1}{4}} b^{2} - \left(-b^{3}\right)^{\frac{3}{4}}\right) + \frac{4}{15} \, {\left(a x^{5} - b\right)}^{\frac{3}{4}}"," ",0,"4/5*(-b^3)^(1/4)*arctan(-((a*x^5 - b)^(1/4)*(-b^3)^(1/4)*b^2 - sqrt(sqrt(a*x^5 - b)*b^4 - sqrt(-b^3)*b^3)*(-b^3)^(1/4))/b^3) - 1/5*(-b^3)^(1/4)*log((a*x^5 - b)^(1/4)*b^2 + (-b^3)^(3/4)) + 1/5*(-b^3)^(1/4)*log((a*x^5 - b)^(1/4)*b^2 - (-b^3)^(3/4)) + 4/15*(a*x^5 - b)^(3/4)","A",0
2035,1,277,0,3.361114," ","integrate((x^3-1)^(2/3)*(x^6+x^3+4)/x^9/(x^3-2),x, algorithm=""fricas"")","\frac{100 \cdot 4^{\frac{1}{6}} \sqrt{3} x^{8} \arctan\left(\frac{4^{\frac{1}{6}} {\left(12 \cdot 4^{\frac{2}{3}} \sqrt{3} {\left(2 \, x^{7} - 5 \, x^{4} + 2 \, x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} \sqrt{3} {\left(91 \, x^{9} - 168 \, x^{6} + 84 \, x^{3} - 8\right)} + 12 \, \sqrt{3} {\left(19 \, x^{8} - 22 \, x^{5} + 4 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}\right)}}{6 \, {\left(53 \, x^{9} - 48 \, x^{6} - 12 \, x^{3} + 8\right)}}\right) + 50 \cdot 4^{\frac{2}{3}} x^{8} \log\left(\frac{6 \cdot 4^{\frac{1}{3}} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 4^{\frac{2}{3}} {\left(x^{3} - 2\right)} - 12 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x}{x^{3} - 2}\right) - 25 \cdot 4^{\frac{2}{3}} x^{8} \log\left(\frac{6 \cdot 4^{\frac{2}{3}} {\left(2 \, x^{4} - x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} {\left(19 \, x^{6} - 22 \, x^{3} + 4\right)} + 6 \, {\left(5 \, x^{5} - 4 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x^{6} - 4 \, x^{3} + 4}\right) + 36 \, {\left(7 \, x^{6} + 8 \, x^{3} + 10\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{1440 \, x^{8}}"," ",0,"1/1440*(100*4^(1/6)*sqrt(3)*x^8*arctan(1/6*4^(1/6)*(12*4^(2/3)*sqrt(3)*(2*x^7 - 5*x^4 + 2*x)*(x^3 - 1)^(2/3) + 4^(1/3)*sqrt(3)*(91*x^9 - 168*x^6 + 84*x^3 - 8) + 12*sqrt(3)*(19*x^8 - 22*x^5 + 4*x^2)*(x^3 - 1)^(1/3))/(53*x^9 - 48*x^6 - 12*x^3 + 8)) + 50*4^(2/3)*x^8*log((6*4^(1/3)*(x^3 - 1)^(1/3)*x^2 + 4^(2/3)*(x^3 - 2) - 12*(x^3 - 1)^(2/3)*x)/(x^3 - 2)) - 25*4^(2/3)*x^8*log((6*4^(2/3)*(2*x^4 - x)*(x^3 - 1)^(2/3) + 4^(1/3)*(19*x^6 - 22*x^3 + 4) + 6*(5*x^5 - 4*x^2)*(x^3 - 1)^(1/3))/(x^6 - 4*x^3 + 4)) + 36*(7*x^6 + 8*x^3 + 10)*(x^3 - 1)^(2/3))/x^8","B",0
2036,1,478,0,45.981822," ","integrate((3*x^6-4*x-3)/(x^6+2*x+1)/(x^6+2*x^3+2*x+1)^(1/3),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} 2^{\frac{1}{6}} {\left(2^{\frac{5}{6}} {\left(x^{18} + 36 \, x^{15} + 6 \, x^{13} + 183 \, x^{12} + 144 \, x^{10} + 288 \, x^{9} + 12 \, x^{8} + 372 \, x^{7} + 183 \, x^{6} + 144 \, x^{5} + 144 \, x^{4} + 44 \, x^{3} + 12 \, x^{2} + 6 \, x + 1\right)} + 12 \, \sqrt{2} {\left(x^{14} + 18 \, x^{11} + 4 \, x^{9} + 38 \, x^{8} + 36 \, x^{6} + 18 \, x^{5} + 4 \, x^{4} + 4 \, x^{3} + x^{2}\right)} {\left(x^{6} + 2 \, x^{3} + 2 \, x + 1\right)}^{\frac{1}{3}} + 12 \cdot 2^{\frac{1}{6}} {\left(x^{13} + 6 \, x^{10} + 4 \, x^{8} + 2 \, x^{7} + 12 \, x^{5} + 6 \, x^{4} + 4 \, x^{3} + 4 \, x^{2} + x\right)} {\left(x^{6} + 2 \, x^{3} + 2 \, x + 1\right)}^{\frac{2}{3}}\right)}}{6 \, {\left(x^{18} + 6 \, x^{13} - 105 \, x^{12} - 216 \, x^{9} + 12 \, x^{8} - 204 \, x^{7} - 105 \, x^{6} + 8 \, x^{3} + 12 \, x^{2} + 6 \, x + 1\right)}}\right) + \frac{1}{6} \cdot 2^{\frac{2}{3}} \log\left(\frac{6 \cdot 2^{\frac{1}{3}} {\left(x^{6} + 2 \, x^{3} + 2 \, x + 1\right)}^{\frac{1}{3}} x^{2} + 2^{\frac{2}{3}} {\left(x^{6} + 2 \, x + 1\right)} - 6 \, {\left(x^{6} + 2 \, x^{3} + 2 \, x + 1\right)}^{\frac{2}{3}} x}{x^{6} + 2 \, x + 1}\right) - \frac{1}{12} \cdot 2^{\frac{2}{3}} \log\left(\frac{3 \cdot 2^{\frac{2}{3}} {\left(x^{7} + 6 \, x^{4} + 2 \, x^{2} + x\right)} {\left(x^{6} + 2 \, x^{3} + 2 \, x + 1\right)}^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(x^{12} + 18 \, x^{9} + 4 \, x^{7} + 38 \, x^{6} + 36 \, x^{4} + 18 \, x^{3} + 4 \, x^{2} + 4 \, x + 1\right)} + 12 \, {\left(x^{8} + 3 \, x^{5} + 2 \, x^{3} + x^{2}\right)} {\left(x^{6} + 2 \, x^{3} + 2 \, x + 1\right)}^{\frac{1}{3}}}{x^{12} + 4 \, x^{7} + 2 \, x^{6} + 4 \, x^{2} + 4 \, x + 1}\right)"," ",0,"-1/6*sqrt(3)*2^(2/3)*arctan(1/6*sqrt(3)*2^(1/6)*(2^(5/6)*(x^18 + 36*x^15 + 6*x^13 + 183*x^12 + 144*x^10 + 288*x^9 + 12*x^8 + 372*x^7 + 183*x^6 + 144*x^5 + 144*x^4 + 44*x^3 + 12*x^2 + 6*x + 1) + 12*sqrt(2)*(x^14 + 18*x^11 + 4*x^9 + 38*x^8 + 36*x^6 + 18*x^5 + 4*x^4 + 4*x^3 + x^2)*(x^6 + 2*x^3 + 2*x + 1)^(1/3) + 12*2^(1/6)*(x^13 + 6*x^10 + 4*x^8 + 2*x^7 + 12*x^5 + 6*x^4 + 4*x^3 + 4*x^2 + x)*(x^6 + 2*x^3 + 2*x + 1)^(2/3))/(x^18 + 6*x^13 - 105*x^12 - 216*x^9 + 12*x^8 - 204*x^7 - 105*x^6 + 8*x^3 + 12*x^2 + 6*x + 1)) + 1/6*2^(2/3)*log((6*2^(1/3)*(x^6 + 2*x^3 + 2*x + 1)^(1/3)*x^2 + 2^(2/3)*(x^6 + 2*x + 1) - 6*(x^6 + 2*x^3 + 2*x + 1)^(2/3)*x)/(x^6 + 2*x + 1)) - 1/12*2^(2/3)*log((3*2^(2/3)*(x^7 + 6*x^4 + 2*x^2 + x)*(x^6 + 2*x^3 + 2*x + 1)^(2/3) + 2^(1/3)*(x^12 + 18*x^9 + 4*x^7 + 38*x^6 + 36*x^4 + 18*x^3 + 4*x^2 + 4*x + 1) + 12*(x^8 + 3*x^5 + 2*x^3 + x^2)*(x^6 + 2*x^3 + 2*x + 1)^(1/3))/(x^12 + 4*x^7 + 2*x^6 + 4*x^2 + 4*x + 1))","B",0
2037,1,159,0,0.489258," ","integrate((a*x^6-b)^(3/4)/x,x, algorithm=""fricas"")","\frac{2}{3} \, \left(-b^{3}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{6} - b\right)}^{\frac{1}{4}} \left(-b^{3}\right)^{\frac{1}{4}} b^{2} - \sqrt{\sqrt{a x^{6} - b} b^{4} - \sqrt{-b^{3}} b^{3}} \left(-b^{3}\right)^{\frac{1}{4}}}{b^{3}}\right) - \frac{1}{6} \, \left(-b^{3}\right)^{\frac{1}{4}} \log\left({\left(a x^{6} - b\right)}^{\frac{1}{4}} b^{2} + \left(-b^{3}\right)^{\frac{3}{4}}\right) + \frac{1}{6} \, \left(-b^{3}\right)^{\frac{1}{4}} \log\left({\left(a x^{6} - b\right)}^{\frac{1}{4}} b^{2} - \left(-b^{3}\right)^{\frac{3}{4}}\right) + \frac{2}{9} \, {\left(a x^{6} - b\right)}^{\frac{3}{4}}"," ",0,"2/3*(-b^3)^(1/4)*arctan(-((a*x^6 - b)^(1/4)*(-b^3)^(1/4)*b^2 - sqrt(sqrt(a*x^6 - b)*b^4 - sqrt(-b^3)*b^3)*(-b^3)^(1/4))/b^3) - 1/6*(-b^3)^(1/4)*log((a*x^6 - b)^(1/4)*b^2 + (-b^3)^(3/4)) + 1/6*(-b^3)^(1/4)*log((a*x^6 - b)^(1/4)*b^2 - (-b^3)^(3/4)) + 2/9*(a*x^6 - b)^(3/4)","A",0
2038,1,128,0,156.260095," ","integrate((a*x^6+b)/(x^3-x)^(1/3),x, algorithm=""fricas"")","\frac{1}{162} \, \sqrt{3} {\left(14 \, a + 81 \, b\right)} \arctan\left(-\frac{44032959556 \, \sqrt{3} {\left(x^{3} - x\right)}^{\frac{1}{3}} x + \sqrt{3} {\left(16754327161 \, x^{2} - 2707204793\right)} - 10524305234 \, \sqrt{3} {\left(x^{3} - x\right)}^{\frac{2}{3}}}{81835897185 \, x^{2} - 1102302937}\right) - \frac{1}{324} \, {\left(14 \, a + 81 \, b\right)} \log\left(-3 \, {\left(x^{3} - x\right)}^{\frac{1}{3}} x + 3 \, {\left(x^{3} - x\right)}^{\frac{2}{3}} + 1\right) + \frac{1}{108} \, {\left(18 \, a x^{4} + 21 \, a x^{2} + 28 \, a\right)} {\left(x^{3} - x\right)}^{\frac{2}{3}}"," ",0,"1/162*sqrt(3)*(14*a + 81*b)*arctan(-(44032959556*sqrt(3)*(x^3 - x)^(1/3)*x + sqrt(3)*(16754327161*x^2 - 2707204793) - 10524305234*sqrt(3)*(x^3 - x)^(2/3))/(81835897185*x^2 - 1102302937)) - 1/324*(14*a + 81*b)*log(-3*(x^3 - x)^(1/3)*x + 3*(x^3 - x)^(2/3) + 1) + 1/108*(18*a*x^4 + 21*a*x^2 + 28*a)*(x^3 - x)^(2/3)","A",0
2039,-1,0,0,0.000000," ","integrate((a*x^2+b*x*(-a/b^2+a^2*x^2/b^2)^(1/2))^(1/4)/(-a/b^2+a^2*x^2/b^2)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2040,1,377,0,0.636745," ","integrate(1/(x^2*(-a+x))^(1/3)/(a+(-1+d)*x),x, algorithm=""fricas"")","\left[\frac{\sqrt{3} d \sqrt{\frac{\left(-d\right)^{\frac{1}{3}}}{d}} \log\left(-\frac{{\left(d + 2\right)} x^{2} - 2 \, a x - 3 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} \left(-d\right)^{\frac{2}{3}} x - \sqrt{3} {\left(\left(-d\right)^{\frac{1}{3}} d x^{2} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d x + 2 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} \left(-d\right)^{\frac{2}{3}}\right)} \sqrt{\frac{\left(-d\right)^{\frac{1}{3}}}{d}}}{{\left(d - 1\right)} x^{2} + a x}\right) - 2 \, \left(-d\right)^{\frac{2}{3}} \log\left(\frac{\left(-d\right)^{\frac{1}{3}} x + {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}}}{x}\right) + \left(-d\right)^{\frac{2}{3}} \log\left(\frac{\left(-d\right)^{\frac{2}{3}} x^{2} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} \left(-d\right)^{\frac{1}{3}} x + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{2 \, a d}, -\frac{2 \, \sqrt{3} d \sqrt{-\frac{\left(-d\right)^{\frac{1}{3}}}{d}} \arctan\left(-\frac{\sqrt{3} {\left(\left(-d\right)^{\frac{1}{3}} x - 2 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-d\right)^{\frac{1}{3}}}{d}}}{3 \, x}\right) + 2 \, \left(-d\right)^{\frac{2}{3}} \log\left(\frac{\left(-d\right)^{\frac{1}{3}} x + {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}}}{x}\right) - \left(-d\right)^{\frac{2}{3}} \log\left(\frac{\left(-d\right)^{\frac{2}{3}} x^{2} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} \left(-d\right)^{\frac{1}{3}} x + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{2 \, a d}\right]"," ",0,"[1/2*(sqrt(3)*d*sqrt((-d)^(1/3)/d)*log(-((d + 2)*x^2 - 2*a*x - 3*(-a*x^2 + x^3)^(1/3)*(-d)^(2/3)*x - sqrt(3)*((-d)^(1/3)*d*x^2 - (-a*x^2 + x^3)^(1/3)*d*x + 2*(-a*x^2 + x^3)^(2/3)*(-d)^(2/3))*sqrt((-d)^(1/3)/d))/((d - 1)*x^2 + a*x)) - 2*(-d)^(2/3)*log(((-d)^(1/3)*x + (-a*x^2 + x^3)^(1/3))/x) + (-d)^(2/3)*log(((-d)^(2/3)*x^2 - (-a*x^2 + x^3)^(1/3)*(-d)^(1/3)*x + (-a*x^2 + x^3)^(2/3))/x^2))/(a*d), -1/2*(2*sqrt(3)*d*sqrt(-(-d)^(1/3)/d)*arctan(-1/3*sqrt(3)*((-d)^(1/3)*x - 2*(-a*x^2 + x^3)^(1/3))*sqrt(-(-d)^(1/3)/d)/x) + 2*(-d)^(2/3)*log(((-d)^(1/3)*x + (-a*x^2 + x^3)^(1/3))/x) - (-d)^(2/3)*log(((-d)^(2/3)*x^2 - (-a*x^2 + x^3)^(1/3)*(-d)^(1/3)*x + (-a*x^2 + x^3)^(2/3))/x^2))/(a*d)]","A",0
2041,1,204,0,3.522125," ","integrate((-x^4-x^3+x+2)^(2/3)*(x^4+2*x+6)*(x^4+x^3-x-2)/x^6/(x^4+2*x^3-x-2),x, algorithm=""fricas"")","-\frac{10 \, \sqrt{3} x^{5} \arctan\left(-\frac{49772 \, \sqrt{3} {\left(-x^{4} - x^{3} + x + 2\right)}^{\frac{1}{3}} x^{2} - 31378 \, \sqrt{3} {\left(-x^{4} - x^{3} + x + 2\right)}^{\frac{2}{3}} x - \sqrt{3} {\left(17661 \, x^{4} + 26125 \, x^{3} - 17661 \, x - 35322\right)}}{24389 \, x^{4} - 72947 \, x^{3} - 24389 \, x - 48778}\right) + 5 \, x^{5} \log\left(\frac{x^{4} + 2 \, x^{3} - 3 \, {\left(-x^{4} - x^{3} + x + 2\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(-x^{4} - x^{3} + x + 2\right)}^{\frac{2}{3}} x - x - 2}{x^{4} + 2 \, x^{3} - x - 2}\right) - 3 \, {\left(2 \, x^{4} - 3 \, x^{3} - 2 \, x - 4\right)} {\left(-x^{4} - x^{3} + x + 2\right)}^{\frac{2}{3}}}{10 \, x^{5}}"," ",0,"-1/10*(10*sqrt(3)*x^5*arctan(-(49772*sqrt(3)*(-x^4 - x^3 + x + 2)^(1/3)*x^2 - 31378*sqrt(3)*(-x^4 - x^3 + x + 2)^(2/3)*x - sqrt(3)*(17661*x^4 + 26125*x^3 - 17661*x - 35322))/(24389*x^4 - 72947*x^3 - 24389*x - 48778)) + 5*x^5*log((x^4 + 2*x^3 - 3*(-x^4 - x^3 + x + 2)^(1/3)*x^2 + 3*(-x^4 - x^3 + x + 2)^(2/3)*x - x - 2)/(x^4 + 2*x^3 - x - 2)) - 3*(2*x^4 - 3*x^3 - 2*x - 4)*(-x^4 - x^3 + x + 2)^(2/3))/x^5","A",0
2042,1,410,0,112.124401," ","integrate((x^4-3)*(x^4+1)^(2/3)*(2*x^4+x^3+2)/x^6/(4*x^4-x^3+4),x, algorithm=""fricas"")","-\frac{10 \, \sqrt{3} 2^{\frac{2}{3}} x^{5} \arctan\left(\frac{\sqrt{3} 2^{\frac{1}{6}} {\left(2^{\frac{5}{6}} {\left(64 \, x^{12} + 240 \, x^{11} + 48 \, x^{10} - x^{9} + 192 \, x^{8} + 480 \, x^{7} + 48 \, x^{6} + 192 \, x^{4} + 240 \, x^{3} + 64\right)} + 12 \, \sqrt{2} {\left(16 \, x^{10} + 28 \, x^{9} + x^{8} + 32 \, x^{6} + 28 \, x^{5} + 16 \, x^{2}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{3}} + 48 \cdot 2^{\frac{1}{6}} {\left(8 \, x^{9} + 2 \, x^{8} - x^{7} + 16 \, x^{5} + 2 \, x^{4} + 8 \, x\right)} {\left(x^{4} + 1\right)}^{\frac{2}{3}}\right)}}{6 \, {\left(64 \, x^{12} - 48 \, x^{11} - 96 \, x^{10} - x^{9} + 192 \, x^{8} - 96 \, x^{7} - 96 \, x^{6} + 192 \, x^{4} - 48 \, x^{3} + 64\right)}}\right) - 10 \cdot 2^{\frac{2}{3}} x^{5} \log\left(\frac{6 \cdot 2^{\frac{1}{3}} {\left(x^{4} + 1\right)}^{\frac{1}{3}} x^{2} + 2^{\frac{2}{3}} {\left(4 \, x^{4} - x^{3} + 4\right)} - 12 \, {\left(x^{4} + 1\right)}^{\frac{2}{3}} x}{4 \, x^{4} - x^{3} + 4}\right) + 5 \cdot 2^{\frac{2}{3}} x^{5} \log\left(\frac{12 \cdot 2^{\frac{2}{3}} {\left(2 \, x^{5} + x^{4} + 2 \, x\right)} {\left(x^{4} + 1\right)}^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(16 \, x^{8} + 28 \, x^{7} + x^{6} + 32 \, x^{4} + 28 \, x^{3} + 16\right)} + 6 \, {\left(8 \, x^{6} + x^{5} + 8 \, x^{2}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{3}}}{16 \, x^{8} - 8 \, x^{7} + x^{6} + 32 \, x^{4} - 8 \, x^{3} + 16}\right) - 12 \, {\left(8 \, x^{4} + 15 \, x^{3} + 8\right)} {\left(x^{4} + 1\right)}^{\frac{2}{3}}}{320 \, x^{5}}"," ",0,"-1/320*(10*sqrt(3)*2^(2/3)*x^5*arctan(1/6*sqrt(3)*2^(1/6)*(2^(5/6)*(64*x^12 + 240*x^11 + 48*x^10 - x^9 + 192*x^8 + 480*x^7 + 48*x^6 + 192*x^4 + 240*x^3 + 64) + 12*sqrt(2)*(16*x^10 + 28*x^9 + x^8 + 32*x^6 + 28*x^5 + 16*x^2)*(x^4 + 1)^(1/3) + 48*2^(1/6)*(8*x^9 + 2*x^8 - x^7 + 16*x^5 + 2*x^4 + 8*x)*(x^4 + 1)^(2/3))/(64*x^12 - 48*x^11 - 96*x^10 - x^9 + 192*x^8 - 96*x^7 - 96*x^6 + 192*x^4 - 48*x^3 + 64)) - 10*2^(2/3)*x^5*log((6*2^(1/3)*(x^4 + 1)^(1/3)*x^2 + 2^(2/3)*(4*x^4 - x^3 + 4) - 12*(x^4 + 1)^(2/3)*x)/(4*x^4 - x^3 + 4)) + 5*2^(2/3)*x^5*log((12*2^(2/3)*(2*x^5 + x^4 + 2*x)*(x^4 + 1)^(2/3) + 2^(1/3)*(16*x^8 + 28*x^7 + x^6 + 32*x^4 + 28*x^3 + 16) + 6*(8*x^6 + x^5 + 8*x^2)*(x^4 + 1)^(1/3))/(16*x^8 - 8*x^7 + x^6 + 32*x^4 - 8*x^3 + 16)) - 12*(8*x^4 + 15*x^3 + 8)*(x^4 + 1)^(2/3))/x^5","B",0
2043,1,198,0,3.310644," ","integrate((2*x^6-x^4-1)*(x^7-x^5+x)^(1/3)/(x^6-x^4+x^2+1)^2,x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} {\left(x^{6} - x^{4} + x^{2} + 1\right)} \arctan\left(-\frac{2 \, \sqrt{3} {\left(x^{7} - x^{5} + x\right)}^{\frac{1}{3}} x + \sqrt{3} {\left(x^{6} - x^{4} - x^{2} + 1\right)} - 2 \, \sqrt{3} {\left(x^{7} - x^{5} + x\right)}^{\frac{2}{3}}}{x^{6} - x^{4} + x^{2} + 1}\right) - {\left(x^{6} - x^{4} + x^{2} + 1\right)} \log\left(\frac{x^{6} - x^{4} + x^{2} + 3 \, {\left(x^{7} - x^{5} + x\right)}^{\frac{1}{3}} x + 3 \, {\left(x^{7} - x^{5} + x\right)}^{\frac{2}{3}} + 1}{x^{6} - x^{4} + x^{2} + 1}\right) + 6 \, {\left(x^{7} - x^{5} + x\right)}^{\frac{1}{3}} x}{12 \, {\left(x^{6} - x^{4} + x^{2} + 1\right)}}"," ",0,"-1/12*(2*sqrt(3)*(x^6 - x^4 + x^2 + 1)*arctan(-(2*sqrt(3)*(x^7 - x^5 + x)^(1/3)*x + sqrt(3)*(x^6 - x^4 - x^2 + 1) - 2*sqrt(3)*(x^7 - x^5 + x)^(2/3))/(x^6 - x^4 + x^2 + 1)) - (x^6 - x^4 + x^2 + 1)*log((x^6 - x^4 + x^2 + 3*(x^7 - x^5 + x)^(1/3)*x + 3*(x^7 - x^5 + x)^(2/3) + 1)/(x^6 - x^4 + x^2 + 1)) + 6*(x^7 - x^5 + x)^(1/3)*x)/(x^6 - x^4 + x^2 + 1)","A",0
2044,-1,0,0,0.000000," ","integrate(x^4*(a*x^3-4*b)/(a*x^3-b)^(1/4)/(-a^2*x^6+x^8+2*a*b*x^3-b^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2045,1,516,0,23.859105," ","integrate((x^2-1)^(1/2)*(x^2+x*(x^2-1)^(1/2))^(1/2)/(x^2+1),x, algorithm=""fricas"")","-\sqrt{2 \, \sqrt{2} + 2} \arctan\left(\frac{45602 \, {\left(4 \, x^{4} - 6 \, x^{2} - \sqrt{2} {\left(x^{4} - 1\right)} - {\left(4 \, x^{3} - \sqrt{2} {\left(x^{3} - 3 \, x\right)} - 4 \, x\right)} \sqrt{x^{2} - 1} - 2\right)} \sqrt{x^{2} + \sqrt{x^{2} - 1} x} \sqrt{2 \, \sqrt{2} + 2} + {\left(1902 \, x^{4} - 3056 \, x^{2} - \sqrt{2} {\left(1403 \, x^{4} - 2494 \, x^{2} + 343\right)} + 2 \, {\left(904 \, x^{3} - \sqrt{2} {\left(499 \, x^{3} - 873 \, x\right)} - 1216 \, x\right)} \sqrt{x^{2} - 1} + 530\right)} \sqrt{76309 \, \sqrt{2} + 105481} \sqrt{2 \, \sqrt{2} + 2}}{45602 \, {\left(7 \, x^{4} - 10 \, x^{2} - 1\right)}}\right) + \frac{1}{4} \, \sqrt{2} \log\left(4 \, x^{2} + 2 \, {\left(2 \, \sqrt{2} \sqrt{x^{2} - 1} x - \sqrt{2} {\left(2 \, x^{2} - 1\right)}\right)} \sqrt{x^{2} + \sqrt{x^{2} - 1} x} - 4 \, \sqrt{x^{2} - 1} x - 1\right) + \frac{1}{4} \, \sqrt{2 \, \sqrt{2} - 2} \log\left(-\frac{4 \, {\left(31 \, x^{2} + \sqrt{2} {\left(109 \, x^{2} + 78\right)} - \sqrt{x^{2} - 1} {\left(109 \, \sqrt{2} x + 31 \, x\right)} - 187\right)} \sqrt{x^{2} + \sqrt{x^{2} - 1} x} + {\left(280 \, x^{2} + \sqrt{2} {\left(249 \, x^{2} - 187\right)} - 2 \, \sqrt{x^{2} - 1} {\left(31 \, \sqrt{2} x + 218 \, x\right)} + 156\right)} \sqrt{2 \, \sqrt{2} - 2}}{x^{2} + 1}\right) - \frac{1}{4} \, \sqrt{2 \, \sqrt{2} - 2} \log\left(-\frac{4 \, {\left(31 \, x^{2} + \sqrt{2} {\left(109 \, x^{2} + 78\right)} - \sqrt{x^{2} - 1} {\left(109 \, \sqrt{2} x + 31 \, x\right)} - 187\right)} \sqrt{x^{2} + \sqrt{x^{2} - 1} x} - {\left(280 \, x^{2} + \sqrt{2} {\left(249 \, x^{2} - 187\right)} - 2 \, \sqrt{x^{2} - 1} {\left(31 \, \sqrt{2} x + 218 \, x\right)} + 156\right)} \sqrt{2 \, \sqrt{2} - 2}}{x^{2} + 1}\right) + \sqrt{x^{2} + \sqrt{x^{2} - 1} x}"," ",0,"-sqrt(2*sqrt(2) + 2)*arctan(1/45602*(45602*(4*x^4 - 6*x^2 - sqrt(2)*(x^4 - 1) - (4*x^3 - sqrt(2)*(x^3 - 3*x) - 4*x)*sqrt(x^2 - 1) - 2)*sqrt(x^2 + sqrt(x^2 - 1)*x)*sqrt(2*sqrt(2) + 2) + (1902*x^4 - 3056*x^2 - sqrt(2)*(1403*x^4 - 2494*x^2 + 343) + 2*(904*x^3 - sqrt(2)*(499*x^3 - 873*x) - 1216*x)*sqrt(x^2 - 1) + 530)*sqrt(76309*sqrt(2) + 105481)*sqrt(2*sqrt(2) + 2))/(7*x^4 - 10*x^2 - 1)) + 1/4*sqrt(2)*log(4*x^2 + 2*(2*sqrt(2)*sqrt(x^2 - 1)*x - sqrt(2)*(2*x^2 - 1))*sqrt(x^2 + sqrt(x^2 - 1)*x) - 4*sqrt(x^2 - 1)*x - 1) + 1/4*sqrt(2*sqrt(2) - 2)*log(-(4*(31*x^2 + sqrt(2)*(109*x^2 + 78) - sqrt(x^2 - 1)*(109*sqrt(2)*x + 31*x) - 187)*sqrt(x^2 + sqrt(x^2 - 1)*x) + (280*x^2 + sqrt(2)*(249*x^2 - 187) - 2*sqrt(x^2 - 1)*(31*sqrt(2)*x + 218*x) + 156)*sqrt(2*sqrt(2) - 2))/(x^2 + 1)) - 1/4*sqrt(2*sqrt(2) - 2)*log(-(4*(31*x^2 + sqrt(2)*(109*x^2 + 78) - sqrt(x^2 - 1)*(109*sqrt(2)*x + 31*x) - 187)*sqrt(x^2 + sqrt(x^2 - 1)*x) - (280*x^2 + sqrt(2)*(249*x^2 - 187) - 2*sqrt(x^2 - 1)*(31*sqrt(2)*x + 218*x) + 156)*sqrt(2*sqrt(2) - 2))/(x^2 + 1)) + sqrt(x^2 + sqrt(x^2 - 1)*x)","B",0
2046,1,185,0,0.482765," ","integrate(x/(x^2*(-a+x))^(2/3)/(a+(-1+d)*x),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} d \sqrt{-\left(-d^{2}\right)^{\frac{1}{3}}} \arctan\left(-\frac{\sqrt{3} {\left(\left(-d^{2}\right)^{\frac{1}{3}} d x - 2 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} \left(-d^{2}\right)^{\frac{2}{3}}\right)} \sqrt{-\left(-d^{2}\right)^{\frac{1}{3}}}}{3 \, d^{2} x}\right) - 2 \, \left(-d^{2}\right)^{\frac{2}{3}} \log\left(-\frac{\left(-d^{2}\right)^{\frac{2}{3}} x - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d}{x}\right) + \left(-d^{2}\right)^{\frac{2}{3}} \log\left(-\frac{\left(-d^{2}\right)^{\frac{1}{3}} d x^{2} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} \left(-d^{2}\right)^{\frac{2}{3}} x - {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d}{x^{2}}\right)}{2 \, a d^{2}}"," ",0,"1/2*(2*sqrt(3)*d*sqrt(-(-d^2)^(1/3))*arctan(-1/3*sqrt(3)*((-d^2)^(1/3)*d*x - 2*(-a*x^2 + x^3)^(1/3)*(-d^2)^(2/3))*sqrt(-(-d^2)^(1/3))/(d^2*x)) - 2*(-d^2)^(2/3)*log(-((-d^2)^(2/3)*x - (-a*x^2 + x^3)^(1/3)*d)/x) + (-d^2)^(2/3)*log(-((-d^2)^(1/3)*d*x^2 - (-a*x^2 + x^3)^(1/3)*(-d^2)^(2/3)*x - (-a*x^2 + x^3)^(2/3)*d)/x^2))/(a*d^2)","A",0
2047,1,2531,0,8.707227," ","integrate((x^2+x+2)/(x^2+2*x+3)/(x^3+x^2)^(1/3),x, algorithm=""fricas"")","\frac{1}{36} \cdot 18^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) \log\left(\frac{36 \, {\left(2 \cdot 18^{\frac{2}{3}} \sqrt{2} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) + 4 \cdot 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} + 3 \cdot 18^{\frac{1}{3}} x^{2} - 2 \cdot 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + 9 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + \frac{1}{9} \cdot 18^{\frac{5}{6}} \arctan\left(-\frac{6 \cdot 18^{\frac{1}{3}} \sqrt{2} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} + 12 \, {\left(6 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{3} - {\left(3 \, x - 18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) + 6 \, \sqrt{2} x - {\left(2 \cdot 18^{\frac{1}{3}} \sqrt{2} x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} + 4 \cdot 18^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) - 18^{\frac{1}{3}} \sqrt{2} x\right)} \sqrt{\frac{2 \cdot 18^{\frac{2}{3}} \sqrt{2} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) + 4 \cdot 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} + 3 \cdot 18^{\frac{1}{3}} x^{2} - 2 \cdot 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + 9 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 3 \cdot 18^{\frac{1}{3}} \sqrt{2} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{6 \, {\left(12 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{4} - 12 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} + x\right)}}\right) \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) - \frac{1}{18} \, {\left(18^{\frac{5}{6}} \sqrt{3} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) + 18^{\frac{5}{6}} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)\right)} \arctan\left(\frac{576 \cdot 18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} + \sqrt{2}\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{6} - 288 \, {\left(3 \cdot 18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} + \sqrt{2}\right)} + \sqrt{3} x - 2 \, \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{4} + 12 \, {\left(18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(58 \, \sqrt{3} + 19 \, \sqrt{2}\right)} + 24 \, \sqrt{3} x - 48 \, \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} - \sqrt{2} {\left(96 \cdot 18^{\frac{1}{3}} {\left(2 \, \sqrt{3} x + \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{6} - 144 \cdot 18^{\frac{1}{3}} {\left(2 \, \sqrt{3} x + \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{4} + 2 \cdot 18^{\frac{1}{3}} {\left(58 \, \sqrt{3} x + 19 \, \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} - 2 \, {\left(48 \cdot 18^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} x - 2 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{5} - 48 \cdot 18^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} x - 2 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{3} + 18^{\frac{1}{3}} {\left(11 \, \sqrt{3} \sqrt{2} x - 26 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) - 5 \cdot 18^{\frac{1}{3}} {\left(2 \, \sqrt{3} x - \sqrt{2} x\right)}\right)} \sqrt{\frac{2 \cdot 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} x - 2 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} - 2 \cdot 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} x + \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) + 6 \cdot 18^{\frac{1}{3}} x^{2} - 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} x - 2 \, x\right)} + 18 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 12 \, {\left(1152 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{7} + 48 \, {\left(18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} - 2\right)} - 36 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{5} - 24 \, {\left(2 \, \sqrt{3} \sqrt{2} x + 2 \cdot 18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} - 2\right)} - 31 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{3} + {\left(24 \, \sqrt{3} \sqrt{2} x + 18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(11 \, \sqrt{3} \sqrt{2} - 26\right)} - 84 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) - 30 \cdot 18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} - \sqrt{2}\right)} - 90 \, \sqrt{3} x + 120 \, \sqrt{2} x}{6 \, {\left(2304 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{8} - 4608 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{6} + 2976 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{4} - 672 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} + 25 \, x\right)}}\right) - \frac{1}{18} \, {\left(18^{\frac{5}{6}} \sqrt{3} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) - 18^{\frac{5}{6}} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)\right)} \arctan\left(\frac{576 \cdot 18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} - \sqrt{2}\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{6} - 288 \, {\left(3 \cdot 18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} - \sqrt{2}\right)} + \sqrt{3} x + 2 \, \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{4} + 12 \, {\left(18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(58 \, \sqrt{3} - 19 \, \sqrt{2}\right)} + 24 \, \sqrt{3} x + 48 \, \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} - \sqrt{2} {\left(96 \cdot 18^{\frac{1}{3}} {\left(2 \, \sqrt{3} x - \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{6} - 144 \cdot 18^{\frac{1}{3}} {\left(2 \, \sqrt{3} x - \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{4} + 2 \cdot 18^{\frac{1}{3}} {\left(58 \, \sqrt{3} x - 19 \, \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} - 2 \, {\left(48 \cdot 18^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} x + 2 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{5} - 48 \cdot 18^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} x + 2 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{3} + 18^{\frac{1}{3}} {\left(11 \, \sqrt{3} \sqrt{2} x + 26 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) - 5 \cdot 18^{\frac{1}{3}} {\left(2 \, \sqrt{3} x + \sqrt{2} x\right)}\right)} \sqrt{-\frac{2 \cdot 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} x + 2 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} - 2 \cdot 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} x - \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) - 6 \cdot 18^{\frac{1}{3}} x^{2} - 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} x + 2 \, x\right)} - 18 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 12 \, {\left(1152 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{7} - 48 \, {\left(18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} + 2\right)} + 36 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{5} + 24 \, {\left(2 \, \sqrt{3} \sqrt{2} x + 2 \cdot 18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} + 2\right)} + 31 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{3} - {\left(24 \, \sqrt{3} \sqrt{2} x + 18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(11 \, \sqrt{3} \sqrt{2} + 26\right)} + 84 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) - 30 \cdot 18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} + \sqrt{2}\right)} - 90 \, \sqrt{3} x - 120 \, \sqrt{2} x}{6 \, {\left(2304 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{8} - 4608 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{6} + 2976 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{4} - 672 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} + 25 \, x\right)}}\right) - \frac{1}{72} \, {\left(18^{\frac{5}{6}} \sqrt{3} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) + 18^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)\right)} \log\left(-\frac{72 \, {\left(2 \cdot 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} x + 2 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} - 2 \cdot 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} x - \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) - 6 \cdot 18^{\frac{1}{3}} x^{2} - 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} x + 2 \, x\right)} - 18 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + \frac{1}{72} \, {\left(18^{\frac{5}{6}} \sqrt{3} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) - 18^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)\right)} \log\left(\frac{72 \, {\left(2 \cdot 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} x - 2 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} - 2 \cdot 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} x + \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) + 6 \cdot 18^{\frac{1}{3}} x^{2} - 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} x - 2 \, x\right)} + 18 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) - \log\left(-\frac{x - {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, \log\left(\frac{x^{2} + {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"1/36*18^(5/6)*cos(2/3*arctan(2*sqrt(2) + 3))*log(36*(2*18^(2/3)*sqrt(2)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(2*sqrt(2) + 3))*sin(2/3*arctan(2*sqrt(2) + 3)) + 4*18^(2/3)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(2*sqrt(2) + 3))^2 + 3*18^(1/3)*x^2 - 2*18^(2/3)*(x^3 + x^2)^(1/3)*x + 9*(x^3 + x^2)^(2/3))/x^2) + 1/9*18^(5/6)*arctan(-1/6*(6*18^(1/3)*sqrt(2)*(x^3 + x^2)^(1/3)*cos(2/3*arctan(2*sqrt(2) + 3))^2 + 12*(6*x*cos(2/3*arctan(2*sqrt(2) + 3))^3 - (3*x - 18^(1/3)*(x^3 + x^2)^(1/3))*cos(2/3*arctan(2*sqrt(2) + 3)))*sin(2/3*arctan(2*sqrt(2) + 3)) + 6*sqrt(2)*x - (2*18^(1/3)*sqrt(2)*x*cos(2/3*arctan(2*sqrt(2) + 3))^2 + 4*18^(1/3)*x*cos(2/3*arctan(2*sqrt(2) + 3))*sin(2/3*arctan(2*sqrt(2) + 3)) - 18^(1/3)*sqrt(2)*x)*sqrt((2*18^(2/3)*sqrt(2)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(2*sqrt(2) + 3))*sin(2/3*arctan(2*sqrt(2) + 3)) + 4*18^(2/3)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(2*sqrt(2) + 3))^2 + 3*18^(1/3)*x^2 - 2*18^(2/3)*(x^3 + x^2)^(1/3)*x + 9*(x^3 + x^2)^(2/3))/x^2) - 3*18^(1/3)*sqrt(2)*(x^3 + x^2)^(1/3))/(12*x*cos(2/3*arctan(2*sqrt(2) + 3))^4 - 12*x*cos(2/3*arctan(2*sqrt(2) + 3))^2 + x))*sin(2/3*arctan(2*sqrt(2) + 3)) - 1/18*(18^(5/6)*sqrt(3)*cos(2/3*arctan(2*sqrt(2) + 3)) + 18^(5/6)*sin(2/3*arctan(2*sqrt(2) + 3)))*arctan(1/6*(576*18^(1/3)*(x^3 + x^2)^(1/3)*(2*sqrt(3) + sqrt(2))*cos(2/3*arctan(2*sqrt(2) + 3))^6 - 288*(3*18^(1/3)*(x^3 + x^2)^(1/3)*(2*sqrt(3) + sqrt(2)) + sqrt(3)*x - 2*sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))^4 + 12*(18^(1/3)*(x^3 + x^2)^(1/3)*(58*sqrt(3) + 19*sqrt(2)) + 24*sqrt(3)*x - 48*sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))^2 - sqrt(2)*(96*18^(1/3)*(2*sqrt(3)*x + sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))^6 - 144*18^(1/3)*(2*sqrt(3)*x + sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))^4 + 2*18^(1/3)*(58*sqrt(3)*x + 19*sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))^2 - 2*(48*18^(1/3)*(sqrt(3)*sqrt(2)*x - 2*x)*cos(2/3*arctan(2*sqrt(2) + 3))^5 - 48*18^(1/3)*(sqrt(3)*sqrt(2)*x - 2*x)*cos(2/3*arctan(2*sqrt(2) + 3))^3 + 18^(1/3)*(11*sqrt(3)*sqrt(2)*x - 26*x)*cos(2/3*arctan(2*sqrt(2) + 3)))*sin(2/3*arctan(2*sqrt(2) + 3)) - 5*18^(1/3)*(2*sqrt(3)*x - sqrt(2)*x))*sqrt((2*18^(2/3)*(x^3 + x^2)^(1/3)*(sqrt(3)*sqrt(2)*x - 2*x)*cos(2/3*arctan(2*sqrt(2) + 3))^2 - 2*18^(2/3)*(x^3 + x^2)^(1/3)*(2*sqrt(3)*x + sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))*sin(2/3*arctan(2*sqrt(2) + 3)) + 6*18^(1/3)*x^2 - 18^(2/3)*(x^3 + x^2)^(1/3)*(sqrt(3)*sqrt(2)*x - 2*x) + 18*(x^3 + x^2)^(2/3))/x^2) - 12*(1152*x*cos(2/3*arctan(2*sqrt(2) + 3))^7 + 48*(18^(1/3)*(x^3 + x^2)^(1/3)*(sqrt(3)*sqrt(2) - 2) - 36*x)*cos(2/3*arctan(2*sqrt(2) + 3))^5 - 24*(2*sqrt(3)*sqrt(2)*x + 2*18^(1/3)*(x^3 + x^2)^(1/3)*(sqrt(3)*sqrt(2) - 2) - 31*x)*cos(2/3*arctan(2*sqrt(2) + 3))^3 + (24*sqrt(3)*sqrt(2)*x + 18^(1/3)*(x^3 + x^2)^(1/3)*(11*sqrt(3)*sqrt(2) - 26) - 84*x)*cos(2/3*arctan(2*sqrt(2) + 3)))*sin(2/3*arctan(2*sqrt(2) + 3)) - 30*18^(1/3)*(x^3 + x^2)^(1/3)*(2*sqrt(3) - sqrt(2)) - 90*sqrt(3)*x + 120*sqrt(2)*x)/(2304*x*cos(2/3*arctan(2*sqrt(2) + 3))^8 - 4608*x*cos(2/3*arctan(2*sqrt(2) + 3))^6 + 2976*x*cos(2/3*arctan(2*sqrt(2) + 3))^4 - 672*x*cos(2/3*arctan(2*sqrt(2) + 3))^2 + 25*x)) - 1/18*(18^(5/6)*sqrt(3)*cos(2/3*arctan(2*sqrt(2) + 3)) - 18^(5/6)*sin(2/3*arctan(2*sqrt(2) + 3)))*arctan(1/6*(576*18^(1/3)*(x^3 + x^2)^(1/3)*(2*sqrt(3) - sqrt(2))*cos(2/3*arctan(2*sqrt(2) + 3))^6 - 288*(3*18^(1/3)*(x^3 + x^2)^(1/3)*(2*sqrt(3) - sqrt(2)) + sqrt(3)*x + 2*sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))^4 + 12*(18^(1/3)*(x^3 + x^2)^(1/3)*(58*sqrt(3) - 19*sqrt(2)) + 24*sqrt(3)*x + 48*sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))^2 - sqrt(2)*(96*18^(1/3)*(2*sqrt(3)*x - sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))^6 - 144*18^(1/3)*(2*sqrt(3)*x - sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))^4 + 2*18^(1/3)*(58*sqrt(3)*x - 19*sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))^2 - 2*(48*18^(1/3)*(sqrt(3)*sqrt(2)*x + 2*x)*cos(2/3*arctan(2*sqrt(2) + 3))^5 - 48*18^(1/3)*(sqrt(3)*sqrt(2)*x + 2*x)*cos(2/3*arctan(2*sqrt(2) + 3))^3 + 18^(1/3)*(11*sqrt(3)*sqrt(2)*x + 26*x)*cos(2/3*arctan(2*sqrt(2) + 3)))*sin(2/3*arctan(2*sqrt(2) + 3)) - 5*18^(1/3)*(2*sqrt(3)*x + sqrt(2)*x))*sqrt(-(2*18^(2/3)*(x^3 + x^2)^(1/3)*(sqrt(3)*sqrt(2)*x + 2*x)*cos(2/3*arctan(2*sqrt(2) + 3))^2 - 2*18^(2/3)*(x^3 + x^2)^(1/3)*(2*sqrt(3)*x - sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))*sin(2/3*arctan(2*sqrt(2) + 3)) - 6*18^(1/3)*x^2 - 18^(2/3)*(x^3 + x^2)^(1/3)*(sqrt(3)*sqrt(2)*x + 2*x) - 18*(x^3 + x^2)^(2/3))/x^2) + 12*(1152*x*cos(2/3*arctan(2*sqrt(2) + 3))^7 - 48*(18^(1/3)*(x^3 + x^2)^(1/3)*(sqrt(3)*sqrt(2) + 2) + 36*x)*cos(2/3*arctan(2*sqrt(2) + 3))^5 + 24*(2*sqrt(3)*sqrt(2)*x + 2*18^(1/3)*(x^3 + x^2)^(1/3)*(sqrt(3)*sqrt(2) + 2) + 31*x)*cos(2/3*arctan(2*sqrt(2) + 3))^3 - (24*sqrt(3)*sqrt(2)*x + 18^(1/3)*(x^3 + x^2)^(1/3)*(11*sqrt(3)*sqrt(2) + 26) + 84*x)*cos(2/3*arctan(2*sqrt(2) + 3)))*sin(2/3*arctan(2*sqrt(2) + 3)) - 30*18^(1/3)*(x^3 + x^2)^(1/3)*(2*sqrt(3) + sqrt(2)) - 90*sqrt(3)*x - 120*sqrt(2)*x)/(2304*x*cos(2/3*arctan(2*sqrt(2) + 3))^8 - 4608*x*cos(2/3*arctan(2*sqrt(2) + 3))^6 + 2976*x*cos(2/3*arctan(2*sqrt(2) + 3))^4 - 672*x*cos(2/3*arctan(2*sqrt(2) + 3))^2 + 25*x)) - 1/72*(18^(5/6)*sqrt(3)*sin(2/3*arctan(2*sqrt(2) + 3)) + 18^(5/6)*cos(2/3*arctan(2*sqrt(2) + 3)))*log(-72*(2*18^(2/3)*(x^3 + x^2)^(1/3)*(sqrt(3)*sqrt(2)*x + 2*x)*cos(2/3*arctan(2*sqrt(2) + 3))^2 - 2*18^(2/3)*(x^3 + x^2)^(1/3)*(2*sqrt(3)*x - sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))*sin(2/3*arctan(2*sqrt(2) + 3)) - 6*18^(1/3)*x^2 - 18^(2/3)*(x^3 + x^2)^(1/3)*(sqrt(3)*sqrt(2)*x + 2*x) - 18*(x^3 + x^2)^(2/3))/x^2) + 1/72*(18^(5/6)*sqrt(3)*sin(2/3*arctan(2*sqrt(2) + 3)) - 18^(5/6)*cos(2/3*arctan(2*sqrt(2) + 3)))*log(72*(2*18^(2/3)*(x^3 + x^2)^(1/3)*(sqrt(3)*sqrt(2)*x - 2*x)*cos(2/3*arctan(2*sqrt(2) + 3))^2 - 2*18^(2/3)*(x^3 + x^2)^(1/3)*(2*sqrt(3)*x + sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))*sin(2/3*arctan(2*sqrt(2) + 3)) + 6*18^(1/3)*x^2 - 18^(2/3)*(x^3 + x^2)^(1/3)*(sqrt(3)*sqrt(2)*x - 2*x) + 18*(x^3 + x^2)^(2/3))/x^2) - sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + x^2)^(1/3))/x) - log(-(x - (x^3 + x^2)^(1/3))/x) + 1/2*log((x^2 + (x^3 + x^2)^(1/3)*x + (x^3 + x^2)^(2/3))/x^2)","B",0
2048,1,2531,0,8.731505," ","integrate((x^2+x+2)/(x^2+2*x+3)/(x^3+x^2)^(1/3),x, algorithm=""fricas"")","\frac{1}{36} \cdot 18^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) \log\left(\frac{36 \, {\left(2 \cdot 18^{\frac{2}{3}} \sqrt{2} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) + 4 \cdot 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} + 3 \cdot 18^{\frac{1}{3}} x^{2} - 2 \cdot 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + 9 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + \frac{1}{9} \cdot 18^{\frac{5}{6}} \arctan\left(-\frac{6 \cdot 18^{\frac{1}{3}} \sqrt{2} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} + 12 \, {\left(6 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{3} - {\left(3 \, x - 18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) + 6 \, \sqrt{2} x - {\left(2 \cdot 18^{\frac{1}{3}} \sqrt{2} x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} + 4 \cdot 18^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) - 18^{\frac{1}{3}} \sqrt{2} x\right)} \sqrt{\frac{2 \cdot 18^{\frac{2}{3}} \sqrt{2} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) + 4 \cdot 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} + 3 \cdot 18^{\frac{1}{3}} x^{2} - 2 \cdot 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + 9 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 3 \cdot 18^{\frac{1}{3}} \sqrt{2} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{6 \, {\left(12 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{4} - 12 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} + x\right)}}\right) \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) - \frac{1}{18} \, {\left(18^{\frac{5}{6}} \sqrt{3} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) + 18^{\frac{5}{6}} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)\right)} \arctan\left(\frac{576 \cdot 18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} + \sqrt{2}\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{6} - 288 \, {\left(3 \cdot 18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} + \sqrt{2}\right)} + \sqrt{3} x - 2 \, \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{4} + 12 \, {\left(18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(58 \, \sqrt{3} + 19 \, \sqrt{2}\right)} + 24 \, \sqrt{3} x - 48 \, \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} - \sqrt{2} {\left(96 \cdot 18^{\frac{1}{3}} {\left(2 \, \sqrt{3} x + \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{6} - 144 \cdot 18^{\frac{1}{3}} {\left(2 \, \sqrt{3} x + \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{4} + 2 \cdot 18^{\frac{1}{3}} {\left(58 \, \sqrt{3} x + 19 \, \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} - 2 \, {\left(48 \cdot 18^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} x - 2 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{5} - 48 \cdot 18^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} x - 2 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{3} + 18^{\frac{1}{3}} {\left(11 \, \sqrt{3} \sqrt{2} x - 26 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) - 5 \cdot 18^{\frac{1}{3}} {\left(2 \, \sqrt{3} x - \sqrt{2} x\right)}\right)} \sqrt{\frac{2 \cdot 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} x - 2 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} - 2 \cdot 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} x + \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) + 6 \cdot 18^{\frac{1}{3}} x^{2} - 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} x - 2 \, x\right)} + 18 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 12 \, {\left(1152 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{7} + 48 \, {\left(18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} - 2\right)} - 36 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{5} - 24 \, {\left(2 \, \sqrt{3} \sqrt{2} x + 2 \cdot 18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} - 2\right)} - 31 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{3} + {\left(24 \, \sqrt{3} \sqrt{2} x + 18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(11 \, \sqrt{3} \sqrt{2} - 26\right)} - 84 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) - 30 \cdot 18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} - \sqrt{2}\right)} - 90 \, \sqrt{3} x + 120 \, \sqrt{2} x}{6 \, {\left(2304 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{8} - 4608 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{6} + 2976 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{4} - 672 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} + 25 \, x\right)}}\right) - \frac{1}{18} \, {\left(18^{\frac{5}{6}} \sqrt{3} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) - 18^{\frac{5}{6}} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)\right)} \arctan\left(\frac{576 \cdot 18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} - \sqrt{2}\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{6} - 288 \, {\left(3 \cdot 18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} - \sqrt{2}\right)} + \sqrt{3} x + 2 \, \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{4} + 12 \, {\left(18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(58 \, \sqrt{3} - 19 \, \sqrt{2}\right)} + 24 \, \sqrt{3} x + 48 \, \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} - \sqrt{2} {\left(96 \cdot 18^{\frac{1}{3}} {\left(2 \, \sqrt{3} x - \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{6} - 144 \cdot 18^{\frac{1}{3}} {\left(2 \, \sqrt{3} x - \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{4} + 2 \cdot 18^{\frac{1}{3}} {\left(58 \, \sqrt{3} x - 19 \, \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} - 2 \, {\left(48 \cdot 18^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} x + 2 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{5} - 48 \cdot 18^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} x + 2 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{3} + 18^{\frac{1}{3}} {\left(11 \, \sqrt{3} \sqrt{2} x + 26 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) - 5 \cdot 18^{\frac{1}{3}} {\left(2 \, \sqrt{3} x + \sqrt{2} x\right)}\right)} \sqrt{-\frac{2 \cdot 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} x + 2 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} - 2 \cdot 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} x - \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) - 6 \cdot 18^{\frac{1}{3}} x^{2} - 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} x + 2 \, x\right)} - 18 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 12 \, {\left(1152 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{7} - 48 \, {\left(18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} + 2\right)} + 36 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{5} + 24 \, {\left(2 \, \sqrt{3} \sqrt{2} x + 2 \cdot 18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} + 2\right)} + 31 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{3} - {\left(24 \, \sqrt{3} \sqrt{2} x + 18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(11 \, \sqrt{3} \sqrt{2} + 26\right)} + 84 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) - 30 \cdot 18^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} + \sqrt{2}\right)} - 90 \, \sqrt{3} x - 120 \, \sqrt{2} x}{6 \, {\left(2304 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{8} - 4608 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{6} + 2976 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{4} - 672 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} + 25 \, x\right)}}\right) - \frac{1}{72} \, {\left(18^{\frac{5}{6}} \sqrt{3} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) + 18^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)\right)} \log\left(-\frac{72 \, {\left(2 \cdot 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} x + 2 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} - 2 \cdot 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} x - \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) - 6 \cdot 18^{\frac{1}{3}} x^{2} - 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} x + 2 \, x\right)} - 18 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + \frac{1}{72} \, {\left(18^{\frac{5}{6}} \sqrt{3} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) - 18^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)\right)} \log\left(\frac{72 \, {\left(2 \cdot 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} x - 2 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right)^{2} - 2 \cdot 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} x + \sqrt{2} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{2} + 3\right)\right) + 6 \cdot 18^{\frac{1}{3}} x^{2} - 18^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} \sqrt{2} x - 2 \, x\right)} + 18 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) - \log\left(-\frac{x - {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, \log\left(\frac{x^{2} + {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"1/36*18^(5/6)*cos(2/3*arctan(2*sqrt(2) + 3))*log(36*(2*18^(2/3)*sqrt(2)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(2*sqrt(2) + 3))*sin(2/3*arctan(2*sqrt(2) + 3)) + 4*18^(2/3)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(2*sqrt(2) + 3))^2 + 3*18^(1/3)*x^2 - 2*18^(2/3)*(x^3 + x^2)^(1/3)*x + 9*(x^3 + x^2)^(2/3))/x^2) + 1/9*18^(5/6)*arctan(-1/6*(6*18^(1/3)*sqrt(2)*(x^3 + x^2)^(1/3)*cos(2/3*arctan(2*sqrt(2) + 3))^2 + 12*(6*x*cos(2/3*arctan(2*sqrt(2) + 3))^3 - (3*x - 18^(1/3)*(x^3 + x^2)^(1/3))*cos(2/3*arctan(2*sqrt(2) + 3)))*sin(2/3*arctan(2*sqrt(2) + 3)) + 6*sqrt(2)*x - (2*18^(1/3)*sqrt(2)*x*cos(2/3*arctan(2*sqrt(2) + 3))^2 + 4*18^(1/3)*x*cos(2/3*arctan(2*sqrt(2) + 3))*sin(2/3*arctan(2*sqrt(2) + 3)) - 18^(1/3)*sqrt(2)*x)*sqrt((2*18^(2/3)*sqrt(2)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(2*sqrt(2) + 3))*sin(2/3*arctan(2*sqrt(2) + 3)) + 4*18^(2/3)*(x^3 + x^2)^(1/3)*x*cos(2/3*arctan(2*sqrt(2) + 3))^2 + 3*18^(1/3)*x^2 - 2*18^(2/3)*(x^3 + x^2)^(1/3)*x + 9*(x^3 + x^2)^(2/3))/x^2) - 3*18^(1/3)*sqrt(2)*(x^3 + x^2)^(1/3))/(12*x*cos(2/3*arctan(2*sqrt(2) + 3))^4 - 12*x*cos(2/3*arctan(2*sqrt(2) + 3))^2 + x))*sin(2/3*arctan(2*sqrt(2) + 3)) - 1/18*(18^(5/6)*sqrt(3)*cos(2/3*arctan(2*sqrt(2) + 3)) + 18^(5/6)*sin(2/3*arctan(2*sqrt(2) + 3)))*arctan(1/6*(576*18^(1/3)*(x^3 + x^2)^(1/3)*(2*sqrt(3) + sqrt(2))*cos(2/3*arctan(2*sqrt(2) + 3))^6 - 288*(3*18^(1/3)*(x^3 + x^2)^(1/3)*(2*sqrt(3) + sqrt(2)) + sqrt(3)*x - 2*sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))^4 + 12*(18^(1/3)*(x^3 + x^2)^(1/3)*(58*sqrt(3) + 19*sqrt(2)) + 24*sqrt(3)*x - 48*sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))^2 - sqrt(2)*(96*18^(1/3)*(2*sqrt(3)*x + sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))^6 - 144*18^(1/3)*(2*sqrt(3)*x + sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))^4 + 2*18^(1/3)*(58*sqrt(3)*x + 19*sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))^2 - 2*(48*18^(1/3)*(sqrt(3)*sqrt(2)*x - 2*x)*cos(2/3*arctan(2*sqrt(2) + 3))^5 - 48*18^(1/3)*(sqrt(3)*sqrt(2)*x - 2*x)*cos(2/3*arctan(2*sqrt(2) + 3))^3 + 18^(1/3)*(11*sqrt(3)*sqrt(2)*x - 26*x)*cos(2/3*arctan(2*sqrt(2) + 3)))*sin(2/3*arctan(2*sqrt(2) + 3)) - 5*18^(1/3)*(2*sqrt(3)*x - sqrt(2)*x))*sqrt((2*18^(2/3)*(x^3 + x^2)^(1/3)*(sqrt(3)*sqrt(2)*x - 2*x)*cos(2/3*arctan(2*sqrt(2) + 3))^2 - 2*18^(2/3)*(x^3 + x^2)^(1/3)*(2*sqrt(3)*x + sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))*sin(2/3*arctan(2*sqrt(2) + 3)) + 6*18^(1/3)*x^2 - 18^(2/3)*(x^3 + x^2)^(1/3)*(sqrt(3)*sqrt(2)*x - 2*x) + 18*(x^3 + x^2)^(2/3))/x^2) - 12*(1152*x*cos(2/3*arctan(2*sqrt(2) + 3))^7 + 48*(18^(1/3)*(x^3 + x^2)^(1/3)*(sqrt(3)*sqrt(2) - 2) - 36*x)*cos(2/3*arctan(2*sqrt(2) + 3))^5 - 24*(2*sqrt(3)*sqrt(2)*x + 2*18^(1/3)*(x^3 + x^2)^(1/3)*(sqrt(3)*sqrt(2) - 2) - 31*x)*cos(2/3*arctan(2*sqrt(2) + 3))^3 + (24*sqrt(3)*sqrt(2)*x + 18^(1/3)*(x^3 + x^2)^(1/3)*(11*sqrt(3)*sqrt(2) - 26) - 84*x)*cos(2/3*arctan(2*sqrt(2) + 3)))*sin(2/3*arctan(2*sqrt(2) + 3)) - 30*18^(1/3)*(x^3 + x^2)^(1/3)*(2*sqrt(3) - sqrt(2)) - 90*sqrt(3)*x + 120*sqrt(2)*x)/(2304*x*cos(2/3*arctan(2*sqrt(2) + 3))^8 - 4608*x*cos(2/3*arctan(2*sqrt(2) + 3))^6 + 2976*x*cos(2/3*arctan(2*sqrt(2) + 3))^4 - 672*x*cos(2/3*arctan(2*sqrt(2) + 3))^2 + 25*x)) - 1/18*(18^(5/6)*sqrt(3)*cos(2/3*arctan(2*sqrt(2) + 3)) - 18^(5/6)*sin(2/3*arctan(2*sqrt(2) + 3)))*arctan(1/6*(576*18^(1/3)*(x^3 + x^2)^(1/3)*(2*sqrt(3) - sqrt(2))*cos(2/3*arctan(2*sqrt(2) + 3))^6 - 288*(3*18^(1/3)*(x^3 + x^2)^(1/3)*(2*sqrt(3) - sqrt(2)) + sqrt(3)*x + 2*sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))^4 + 12*(18^(1/3)*(x^3 + x^2)^(1/3)*(58*sqrt(3) - 19*sqrt(2)) + 24*sqrt(3)*x + 48*sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))^2 - sqrt(2)*(96*18^(1/3)*(2*sqrt(3)*x - sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))^6 - 144*18^(1/3)*(2*sqrt(3)*x - sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))^4 + 2*18^(1/3)*(58*sqrt(3)*x - 19*sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))^2 - 2*(48*18^(1/3)*(sqrt(3)*sqrt(2)*x + 2*x)*cos(2/3*arctan(2*sqrt(2) + 3))^5 - 48*18^(1/3)*(sqrt(3)*sqrt(2)*x + 2*x)*cos(2/3*arctan(2*sqrt(2) + 3))^3 + 18^(1/3)*(11*sqrt(3)*sqrt(2)*x + 26*x)*cos(2/3*arctan(2*sqrt(2) + 3)))*sin(2/3*arctan(2*sqrt(2) + 3)) - 5*18^(1/3)*(2*sqrt(3)*x + sqrt(2)*x))*sqrt(-(2*18^(2/3)*(x^3 + x^2)^(1/3)*(sqrt(3)*sqrt(2)*x + 2*x)*cos(2/3*arctan(2*sqrt(2) + 3))^2 - 2*18^(2/3)*(x^3 + x^2)^(1/3)*(2*sqrt(3)*x - sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))*sin(2/3*arctan(2*sqrt(2) + 3)) - 6*18^(1/3)*x^2 - 18^(2/3)*(x^3 + x^2)^(1/3)*(sqrt(3)*sqrt(2)*x + 2*x) - 18*(x^3 + x^2)^(2/3))/x^2) + 12*(1152*x*cos(2/3*arctan(2*sqrt(2) + 3))^7 - 48*(18^(1/3)*(x^3 + x^2)^(1/3)*(sqrt(3)*sqrt(2) + 2) + 36*x)*cos(2/3*arctan(2*sqrt(2) + 3))^5 + 24*(2*sqrt(3)*sqrt(2)*x + 2*18^(1/3)*(x^3 + x^2)^(1/3)*(sqrt(3)*sqrt(2) + 2) + 31*x)*cos(2/3*arctan(2*sqrt(2) + 3))^3 - (24*sqrt(3)*sqrt(2)*x + 18^(1/3)*(x^3 + x^2)^(1/3)*(11*sqrt(3)*sqrt(2) + 26) + 84*x)*cos(2/3*arctan(2*sqrt(2) + 3)))*sin(2/3*arctan(2*sqrt(2) + 3)) - 30*18^(1/3)*(x^3 + x^2)^(1/3)*(2*sqrt(3) + sqrt(2)) - 90*sqrt(3)*x - 120*sqrt(2)*x)/(2304*x*cos(2/3*arctan(2*sqrt(2) + 3))^8 - 4608*x*cos(2/3*arctan(2*sqrt(2) + 3))^6 + 2976*x*cos(2/3*arctan(2*sqrt(2) + 3))^4 - 672*x*cos(2/3*arctan(2*sqrt(2) + 3))^2 + 25*x)) - 1/72*(18^(5/6)*sqrt(3)*sin(2/3*arctan(2*sqrt(2) + 3)) + 18^(5/6)*cos(2/3*arctan(2*sqrt(2) + 3)))*log(-72*(2*18^(2/3)*(x^3 + x^2)^(1/3)*(sqrt(3)*sqrt(2)*x + 2*x)*cos(2/3*arctan(2*sqrt(2) + 3))^2 - 2*18^(2/3)*(x^3 + x^2)^(1/3)*(2*sqrt(3)*x - sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))*sin(2/3*arctan(2*sqrt(2) + 3)) - 6*18^(1/3)*x^2 - 18^(2/3)*(x^3 + x^2)^(1/3)*(sqrt(3)*sqrt(2)*x + 2*x) - 18*(x^3 + x^2)^(2/3))/x^2) + 1/72*(18^(5/6)*sqrt(3)*sin(2/3*arctan(2*sqrt(2) + 3)) - 18^(5/6)*cos(2/3*arctan(2*sqrt(2) + 3)))*log(72*(2*18^(2/3)*(x^3 + x^2)^(1/3)*(sqrt(3)*sqrt(2)*x - 2*x)*cos(2/3*arctan(2*sqrt(2) + 3))^2 - 2*18^(2/3)*(x^3 + x^2)^(1/3)*(2*sqrt(3)*x + sqrt(2)*x)*cos(2/3*arctan(2*sqrt(2) + 3))*sin(2/3*arctan(2*sqrt(2) + 3)) + 6*18^(1/3)*x^2 - 18^(2/3)*(x^3 + x^2)^(1/3)*(sqrt(3)*sqrt(2)*x - 2*x) + 18*(x^3 + x^2)^(2/3))/x^2) - sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + x^2)^(1/3))/x) - log(-(x - (x^3 + x^2)^(1/3))/x) + 1/2*log((x^2 + (x^3 + x^2)^(1/3)*x + (x^3 + x^2)^(2/3))/x^2)","B",0
2049,1,1553,0,0.903960," ","integrate((a*x^2-c*x+b)/(a*x^2-b)/(a*x^3+b*x)^(1/2),x, algorithm=""fricas"")","-\frac{1}{8} \, \sqrt{\frac{1}{2}} \sqrt{-\frac{a b \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}} + 4 \, c}{a b}} \log\left(-\frac{16 \, a^{2} b^{4} - b^{2} c^{4} + {\left(16 \, a^{4} b^{2} - a^{2} c^{4}\right)} x^{4} + 6 \, {\left(16 \, a^{3} b^{3} - a b c^{4}\right)} x^{2} + 4 \, \sqrt{\frac{1}{2}} {\left(4 \, a^{2} b^{3} c + a b^{2} c^{3} + {\left(4 \, a^{3} b^{2} c + a^{2} b c^{3}\right)} x^{2} + 4 \, {\left(4 \, a^{3} b^{3} + a^{2} b^{2} c^{2}\right)} x - 2 \, {\left(a^{4} b^{3} x^{2} + a^{3} b^{3} c x + a^{3} b^{4}\right)} \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}}\right)} \sqrt{a x^{3} + b x} \sqrt{-\frac{a b \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}} + 4 \, c}{a b}} - 4 \, {\left({\left(4 \, a^{4} b^{3} - a^{3} b^{2} c^{2}\right)} x^{3} + {\left(4 \, a^{3} b^{4} - a^{2} b^{3} c^{2}\right)} x\right)} \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}}}{a^{2} x^{4} - 2 \, a b x^{2} + b^{2}}\right) + \frac{1}{8} \, \sqrt{\frac{1}{2}} \sqrt{-\frac{a b \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}} + 4 \, c}{a b}} \log\left(-\frac{16 \, a^{2} b^{4} - b^{2} c^{4} + {\left(16 \, a^{4} b^{2} - a^{2} c^{4}\right)} x^{4} + 6 \, {\left(16 \, a^{3} b^{3} - a b c^{4}\right)} x^{2} - 4 \, \sqrt{\frac{1}{2}} {\left(4 \, a^{2} b^{3} c + a b^{2} c^{3} + {\left(4 \, a^{3} b^{2} c + a^{2} b c^{3}\right)} x^{2} + 4 \, {\left(4 \, a^{3} b^{3} + a^{2} b^{2} c^{2}\right)} x - 2 \, {\left(a^{4} b^{3} x^{2} + a^{3} b^{3} c x + a^{3} b^{4}\right)} \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}}\right)} \sqrt{a x^{3} + b x} \sqrt{-\frac{a b \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}} + 4 \, c}{a b}} - 4 \, {\left({\left(4 \, a^{4} b^{3} - a^{3} b^{2} c^{2}\right)} x^{3} + {\left(4 \, a^{3} b^{4} - a^{2} b^{3} c^{2}\right)} x\right)} \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}}}{a^{2} x^{4} - 2 \, a b x^{2} + b^{2}}\right) - \frac{1}{8} \, \sqrt{\frac{1}{2}} \sqrt{\frac{a b \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}} - 4 \, c}{a b}} \log\left(-\frac{16 \, a^{2} b^{4} - b^{2} c^{4} + {\left(16 \, a^{4} b^{2} - a^{2} c^{4}\right)} x^{4} + 6 \, {\left(16 \, a^{3} b^{3} - a b c^{4}\right)} x^{2} + 4 \, \sqrt{\frac{1}{2}} {\left(4 \, a^{2} b^{3} c + a b^{2} c^{3} + {\left(4 \, a^{3} b^{2} c + a^{2} b c^{3}\right)} x^{2} + 4 \, {\left(4 \, a^{3} b^{3} + a^{2} b^{2} c^{2}\right)} x + 2 \, {\left(a^{4} b^{3} x^{2} + a^{3} b^{3} c x + a^{3} b^{4}\right)} \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}}\right)} \sqrt{a x^{3} + b x} \sqrt{\frac{a b \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}} - 4 \, c}{a b}} + 4 \, {\left({\left(4 \, a^{4} b^{3} - a^{3} b^{2} c^{2}\right)} x^{3} + {\left(4 \, a^{3} b^{4} - a^{2} b^{3} c^{2}\right)} x\right)} \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}}}{a^{2} x^{4} - 2 \, a b x^{2} + b^{2}}\right) + \frac{1}{8} \, \sqrt{\frac{1}{2}} \sqrt{\frac{a b \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}} - 4 \, c}{a b}} \log\left(-\frac{16 \, a^{2} b^{4} - b^{2} c^{4} + {\left(16 \, a^{4} b^{2} - a^{2} c^{4}\right)} x^{4} + 6 \, {\left(16 \, a^{3} b^{3} - a b c^{4}\right)} x^{2} - 4 \, \sqrt{\frac{1}{2}} {\left(4 \, a^{2} b^{3} c + a b^{2} c^{3} + {\left(4 \, a^{3} b^{2} c + a^{2} b c^{3}\right)} x^{2} + 4 \, {\left(4 \, a^{3} b^{3} + a^{2} b^{2} c^{2}\right)} x + 2 \, {\left(a^{4} b^{3} x^{2} + a^{3} b^{3} c x + a^{3} b^{4}\right)} \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}}\right)} \sqrt{a x^{3} + b x} \sqrt{\frac{a b \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}} - 4 \, c}{a b}} + 4 \, {\left({\left(4 \, a^{4} b^{3} - a^{3} b^{2} c^{2}\right)} x^{3} + {\left(4 \, a^{3} b^{4} - a^{2} b^{3} c^{2}\right)} x\right)} \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}}}{a^{2} x^{4} - 2 \, a b x^{2} + b^{2}}\right)"," ",0,"-1/8*sqrt(1/2)*sqrt(-(a*b*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)) + 4*c)/(a*b))*log(-(16*a^2*b^4 - b^2*c^4 + (16*a^4*b^2 - a^2*c^4)*x^4 + 6*(16*a^3*b^3 - a*b*c^4)*x^2 + 4*sqrt(1/2)*(4*a^2*b^3*c + a*b^2*c^3 + (4*a^3*b^2*c + a^2*b*c^3)*x^2 + 4*(4*a^3*b^3 + a^2*b^2*c^2)*x - 2*(a^4*b^3*x^2 + a^3*b^3*c*x + a^3*b^4)*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)))*sqrt(a*x^3 + b*x)*sqrt(-(a*b*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)) + 4*c)/(a*b)) - 4*((4*a^4*b^3 - a^3*b^2*c^2)*x^3 + (4*a^3*b^4 - a^2*b^3*c^2)*x)*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)))/(a^2*x^4 - 2*a*b*x^2 + b^2)) + 1/8*sqrt(1/2)*sqrt(-(a*b*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)) + 4*c)/(a*b))*log(-(16*a^2*b^4 - b^2*c^4 + (16*a^4*b^2 - a^2*c^4)*x^4 + 6*(16*a^3*b^3 - a*b*c^4)*x^2 - 4*sqrt(1/2)*(4*a^2*b^3*c + a*b^2*c^3 + (4*a^3*b^2*c + a^2*b*c^3)*x^2 + 4*(4*a^3*b^3 + a^2*b^2*c^2)*x - 2*(a^4*b^3*x^2 + a^3*b^3*c*x + a^3*b^4)*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)))*sqrt(a*x^3 + b*x)*sqrt(-(a*b*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)) + 4*c)/(a*b)) - 4*((4*a^4*b^3 - a^3*b^2*c^2)*x^3 + (4*a^3*b^4 - a^2*b^3*c^2)*x)*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)))/(a^2*x^4 - 2*a*b*x^2 + b^2)) - 1/8*sqrt(1/2)*sqrt((a*b*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)) - 4*c)/(a*b))*log(-(16*a^2*b^4 - b^2*c^4 + (16*a^4*b^2 - a^2*c^4)*x^4 + 6*(16*a^3*b^3 - a*b*c^4)*x^2 + 4*sqrt(1/2)*(4*a^2*b^3*c + a*b^2*c^3 + (4*a^3*b^2*c + a^2*b*c^3)*x^2 + 4*(4*a^3*b^3 + a^2*b^2*c^2)*x + 2*(a^4*b^3*x^2 + a^3*b^3*c*x + a^3*b^4)*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)))*sqrt(a*x^3 + b*x)*sqrt((a*b*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)) - 4*c)/(a*b)) + 4*((4*a^4*b^3 - a^3*b^2*c^2)*x^3 + (4*a^3*b^4 - a^2*b^3*c^2)*x)*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)))/(a^2*x^4 - 2*a*b*x^2 + b^2)) + 1/8*sqrt(1/2)*sqrt((a*b*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)) - 4*c)/(a*b))*log(-(16*a^2*b^4 - b^2*c^4 + (16*a^4*b^2 - a^2*c^4)*x^4 + 6*(16*a^3*b^3 - a*b*c^4)*x^2 - 4*sqrt(1/2)*(4*a^2*b^3*c + a*b^2*c^3 + (4*a^3*b^2*c + a^2*b*c^3)*x^2 + 4*(4*a^3*b^3 + a^2*b^2*c^2)*x + 2*(a^4*b^3*x^2 + a^3*b^3*c*x + a^3*b^4)*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)))*sqrt(a*x^3 + b*x)*sqrt((a*b*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)) - 4*c)/(a*b)) + 4*((4*a^4*b^3 - a^3*b^2*c^2)*x^3 + (4*a^3*b^4 - a^2*b^3*c^2)*x)*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)))/(a^2*x^4 - 2*a*b*x^2 + b^2))","B",0
2050,1,1557,0,0.920103," ","integrate((a*x^2+c*x+b)/(a*x^2-b)/(a*x^3+b*x)^(1/2),x, algorithm=""fricas"")","\frac{1}{8} \, \sqrt{\frac{1}{2}} \sqrt{\frac{a b \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}} + 4 \, c}{a b}} \log\left(-\frac{16 \, a^{2} b^{4} - b^{2} c^{4} + {\left(16 \, a^{4} b^{2} - a^{2} c^{4}\right)} x^{4} + 6 \, {\left(16 \, a^{3} b^{3} - a b c^{4}\right)} x^{2} + 4 \, \sqrt{\frac{1}{2}} {\left(4 \, a^{2} b^{3} c + a b^{2} c^{3} + {\left(4 \, a^{3} b^{2} c + a^{2} b c^{3}\right)} x^{2} - 4 \, {\left(4 \, a^{3} b^{3} + a^{2} b^{2} c^{2}\right)} x - 2 \, {\left(a^{4} b^{3} x^{2} - a^{3} b^{3} c x + a^{3} b^{4}\right)} \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}}\right)} \sqrt{a x^{3} + b x} \sqrt{\frac{a b \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}} + 4 \, c}{a b}} + 4 \, {\left({\left(4 \, a^{4} b^{3} - a^{3} b^{2} c^{2}\right)} x^{3} + {\left(4 \, a^{3} b^{4} - a^{2} b^{3} c^{2}\right)} x\right)} \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}}}{a^{2} x^{4} - 2 \, a b x^{2} + b^{2}}\right) - \frac{1}{8} \, \sqrt{\frac{1}{2}} \sqrt{\frac{a b \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}} + 4 \, c}{a b}} \log\left(-\frac{16 \, a^{2} b^{4} - b^{2} c^{4} + {\left(16 \, a^{4} b^{2} - a^{2} c^{4}\right)} x^{4} + 6 \, {\left(16 \, a^{3} b^{3} - a b c^{4}\right)} x^{2} - 4 \, \sqrt{\frac{1}{2}} {\left(4 \, a^{2} b^{3} c + a b^{2} c^{3} + {\left(4 \, a^{3} b^{2} c + a^{2} b c^{3}\right)} x^{2} - 4 \, {\left(4 \, a^{3} b^{3} + a^{2} b^{2} c^{2}\right)} x - 2 \, {\left(a^{4} b^{3} x^{2} - a^{3} b^{3} c x + a^{3} b^{4}\right)} \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}}\right)} \sqrt{a x^{3} + b x} \sqrt{\frac{a b \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}} + 4 \, c}{a b}} + 4 \, {\left({\left(4 \, a^{4} b^{3} - a^{3} b^{2} c^{2}\right)} x^{3} + {\left(4 \, a^{3} b^{4} - a^{2} b^{3} c^{2}\right)} x\right)} \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}}}{a^{2} x^{4} - 2 \, a b x^{2} + b^{2}}\right) + \frac{1}{8} \, \sqrt{\frac{1}{2}} \sqrt{-\frac{a b \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}} - 4 \, c}{a b}} \log\left(-\frac{16 \, a^{2} b^{4} - b^{2} c^{4} + {\left(16 \, a^{4} b^{2} - a^{2} c^{4}\right)} x^{4} + 6 \, {\left(16 \, a^{3} b^{3} - a b c^{4}\right)} x^{2} + 4 \, \sqrt{\frac{1}{2}} {\left(4 \, a^{2} b^{3} c + a b^{2} c^{3} + {\left(4 \, a^{3} b^{2} c + a^{2} b c^{3}\right)} x^{2} - 4 \, {\left(4 \, a^{3} b^{3} + a^{2} b^{2} c^{2}\right)} x + 2 \, {\left(a^{4} b^{3} x^{2} - a^{3} b^{3} c x + a^{3} b^{4}\right)} \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}}\right)} \sqrt{a x^{3} + b x} \sqrt{-\frac{a b \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}} - 4 \, c}{a b}} - 4 \, {\left({\left(4 \, a^{4} b^{3} - a^{3} b^{2} c^{2}\right)} x^{3} + {\left(4 \, a^{3} b^{4} - a^{2} b^{3} c^{2}\right)} x\right)} \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}}}{a^{2} x^{4} - 2 \, a b x^{2} + b^{2}}\right) - \frac{1}{8} \, \sqrt{\frac{1}{2}} \sqrt{-\frac{a b \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}} - 4 \, c}{a b}} \log\left(-\frac{16 \, a^{2} b^{4} - b^{2} c^{4} + {\left(16 \, a^{4} b^{2} - a^{2} c^{4}\right)} x^{4} + 6 \, {\left(16 \, a^{3} b^{3} - a b c^{4}\right)} x^{2} - 4 \, \sqrt{\frac{1}{2}} {\left(4 \, a^{2} b^{3} c + a b^{2} c^{3} + {\left(4 \, a^{3} b^{2} c + a^{2} b c^{3}\right)} x^{2} - 4 \, {\left(4 \, a^{3} b^{3} + a^{2} b^{2} c^{2}\right)} x + 2 \, {\left(a^{4} b^{3} x^{2} - a^{3} b^{3} c x + a^{3} b^{4}\right)} \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}}\right)} \sqrt{a x^{3} + b x} \sqrt{-\frac{a b \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}} - 4 \, c}{a b}} - 4 \, {\left({\left(4 \, a^{4} b^{3} - a^{3} b^{2} c^{2}\right)} x^{3} + {\left(4 \, a^{3} b^{4} - a^{2} b^{3} c^{2}\right)} x\right)} \sqrt{\frac{16 \, a^{2} b^{2} + 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}}}{a^{2} x^{4} - 2 \, a b x^{2} + b^{2}}\right)"," ",0,"1/8*sqrt(1/2)*sqrt((a*b*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)) + 4*c)/(a*b))*log(-(16*a^2*b^4 - b^2*c^4 + (16*a^4*b^2 - a^2*c^4)*x^4 + 6*(16*a^3*b^3 - a*b*c^4)*x^2 + 4*sqrt(1/2)*(4*a^2*b^3*c + a*b^2*c^3 + (4*a^3*b^2*c + a^2*b*c^3)*x^2 - 4*(4*a^3*b^3 + a^2*b^2*c^2)*x - 2*(a^4*b^3*x^2 - a^3*b^3*c*x + a^3*b^4)*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)))*sqrt(a*x^3 + b*x)*sqrt((a*b*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)) + 4*c)/(a*b)) + 4*((4*a^4*b^3 - a^3*b^2*c^2)*x^3 + (4*a^3*b^4 - a^2*b^3*c^2)*x)*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)))/(a^2*x^4 - 2*a*b*x^2 + b^2)) - 1/8*sqrt(1/2)*sqrt((a*b*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)) + 4*c)/(a*b))*log(-(16*a^2*b^4 - b^2*c^4 + (16*a^4*b^2 - a^2*c^4)*x^4 + 6*(16*a^3*b^3 - a*b*c^4)*x^2 - 4*sqrt(1/2)*(4*a^2*b^3*c + a*b^2*c^3 + (4*a^3*b^2*c + a^2*b*c^3)*x^2 - 4*(4*a^3*b^3 + a^2*b^2*c^2)*x - 2*(a^4*b^3*x^2 - a^3*b^3*c*x + a^3*b^4)*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)))*sqrt(a*x^3 + b*x)*sqrt((a*b*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)) + 4*c)/(a*b)) + 4*((4*a^4*b^3 - a^3*b^2*c^2)*x^3 + (4*a^3*b^4 - a^2*b^3*c^2)*x)*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)))/(a^2*x^4 - 2*a*b*x^2 + b^2)) + 1/8*sqrt(1/2)*sqrt(-(a*b*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)) - 4*c)/(a*b))*log(-(16*a^2*b^4 - b^2*c^4 + (16*a^4*b^2 - a^2*c^4)*x^4 + 6*(16*a^3*b^3 - a*b*c^4)*x^2 + 4*sqrt(1/2)*(4*a^2*b^3*c + a*b^2*c^3 + (4*a^3*b^2*c + a^2*b*c^3)*x^2 - 4*(4*a^3*b^3 + a^2*b^2*c^2)*x + 2*(a^4*b^3*x^2 - a^3*b^3*c*x + a^3*b^4)*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)))*sqrt(a*x^3 + b*x)*sqrt(-(a*b*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)) - 4*c)/(a*b)) - 4*((4*a^4*b^3 - a^3*b^2*c^2)*x^3 + (4*a^3*b^4 - a^2*b^3*c^2)*x)*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)))/(a^2*x^4 - 2*a*b*x^2 + b^2)) - 1/8*sqrt(1/2)*sqrt(-(a*b*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)) - 4*c)/(a*b))*log(-(16*a^2*b^4 - b^2*c^4 + (16*a^4*b^2 - a^2*c^4)*x^4 + 6*(16*a^3*b^3 - a*b*c^4)*x^2 - 4*sqrt(1/2)*(4*a^2*b^3*c + a*b^2*c^3 + (4*a^3*b^2*c + a^2*b*c^3)*x^2 - 4*(4*a^3*b^3 + a^2*b^2*c^2)*x + 2*(a^4*b^3*x^2 - a^3*b^3*c*x + a^3*b^4)*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)))*sqrt(a*x^3 + b*x)*sqrt(-(a*b*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)) - 4*c)/(a*b)) - 4*((4*a^4*b^3 - a^3*b^2*c^2)*x^3 + (4*a^3*b^4 - a^2*b^3*c^2)*x)*sqrt((16*a^2*b^2 + 8*a*b*c^2 + c^4)/(a^3*b^3)))/(a^2*x^4 - 2*a*b*x^2 + b^2))","B",0
2051,1,836,0,0.534012," ","integrate((1+x)*(x^4-x^3)^(1/4)/(x^2-x+1),x, algorithm=""fricas"")","-\frac{1}{4} \, {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} \log\left(\frac{2 \, {\left(2 \, x^{2} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) + \frac{1}{4} \, {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} \log\left(\frac{2 \, {\left(2 \, x^{2} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) - \frac{1}{2} \, \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} \log\left(\frac{4 \, {\left(x^{2} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) + \frac{1}{2} \, \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} \log\left(\frac{4 \, {\left(x^{2} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) + \sqrt{-4 \, \sqrt{3} + 8} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{\frac{2 \, x^{2} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} - 2 \, \sqrt{3} x - 4 \, x}{2 \, x}\right) + \sqrt{-4 \, \sqrt{3} + 8} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{\frac{2 \, x^{2} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{3} x + 4 \, x}{2 \, x}\right) - 2 \, \sqrt{\sqrt{3} + 2} \arctan\left(\frac{2 \, {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} \sqrt{\frac{x^{2} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} + \sqrt{3} x - 2 \, x}{x}\right) - 2 \, \sqrt{\sqrt{3} + 2} \arctan\left(\frac{2 \, {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} \sqrt{\frac{x^{2} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} - \sqrt{3} x + 2 \, x}{x}\right) + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} + \frac{7}{2} \, \arctan\left(\frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{7}{4} \, \log\left(\frac{x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{7}{4} \, \log\left(-\frac{x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-1/4*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8)*log(2*(2*x^2 + (x^4 - x^3)^(1/4)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 - x^3))/x^2) + 1/4*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8)*log(2*(2*x^2 - (x^4 - x^3)^(1/4)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 - x^3))/x^2) - 1/2*sqrt(sqrt(3) + 2)*(sqrt(3) - 2)*log(4*(x^2 + (x^4 - x^3)^(1/4)*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2) + sqrt(x^4 - x^3))/x^2) + 1/2*sqrt(sqrt(3) + 2)*(sqrt(3) - 2)*log(4*(x^2 - (x^4 - x^3)^(1/4)*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2) + sqrt(x^4 - x^3))/x^2) + sqrt(-4*sqrt(3) + 8)*arctan(1/2*(sqrt(2)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8)*sqrt((2*x^2 + (x^4 - x^3)^(1/4)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 - x^3))/x^2) - 2*(x^4 - x^3)^(1/4)*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8) - 2*sqrt(3)*x - 4*x)/x) + sqrt(-4*sqrt(3) + 8)*arctan(1/2*(sqrt(2)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8)*sqrt((2*x^2 - (x^4 - x^3)^(1/4)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 - x^3))/x^2) - 2*(x^4 - x^3)^(1/4)*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(3)*x + 4*x)/x) - 2*sqrt(sqrt(3) + 2)*arctan((2*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2)*sqrt((x^2 + (x^4 - x^3)^(1/4)*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2) + sqrt(x^4 - x^3))/x^2) - 2*(x^4 - x^3)^(1/4)*sqrt(sqrt(3) + 2)*(sqrt(3) - 2) + sqrt(3)*x - 2*x)/x) - 2*sqrt(sqrt(3) + 2)*arctan((2*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2)*sqrt((x^2 - (x^4 - x^3)^(1/4)*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2) + sqrt(x^4 - x^3))/x^2) - 2*(x^4 - x^3)^(1/4)*sqrt(sqrt(3) + 2)*(sqrt(3) - 2) - sqrt(3)*x + 2*x)/x) + (x^4 - x^3)^(1/4) + 7/2*arctan((x^4 - x^3)^(1/4)/x) + 7/4*log((x + (x^4 - x^3)^(1/4))/x) - 7/4*log(-(x - (x^4 - x^3)^(1/4))/x)","B",0
2052,1,836,0,0.536261," ","integrate((1+x)*(x^4-x^3)^(1/4)/(x^2-x+1),x, algorithm=""fricas"")","-\frac{1}{4} \, {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} \log\left(\frac{2 \, {\left(2 \, x^{2} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) + \frac{1}{4} \, {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} \log\left(\frac{2 \, {\left(2 \, x^{2} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) - \frac{1}{2} \, \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} \log\left(\frac{4 \, {\left(x^{2} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) + \frac{1}{2} \, \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} \log\left(\frac{4 \, {\left(x^{2} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) + \sqrt{-4 \, \sqrt{3} + 8} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{\frac{2 \, x^{2} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} - 2 \, \sqrt{3} x - 4 \, x}{2 \, x}\right) + \sqrt{-4 \, \sqrt{3} + 8} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{\frac{2 \, x^{2} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{3} x + 4 \, x}{2 \, x}\right) - 2 \, \sqrt{\sqrt{3} + 2} \arctan\left(\frac{2 \, {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} \sqrt{\frac{x^{2} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} + \sqrt{3} x - 2 \, x}{x}\right) - 2 \, \sqrt{\sqrt{3} + 2} \arctan\left(\frac{2 \, {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} \sqrt{\frac{x^{2} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} - \sqrt{3} x + 2 \, x}{x}\right) + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} + \frac{7}{2} \, \arctan\left(\frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{7}{4} \, \log\left(\frac{x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{7}{4} \, \log\left(-\frac{x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-1/4*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8)*log(2*(2*x^2 + (x^4 - x^3)^(1/4)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 - x^3))/x^2) + 1/4*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8)*log(2*(2*x^2 - (x^4 - x^3)^(1/4)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 - x^3))/x^2) - 1/2*sqrt(sqrt(3) + 2)*(sqrt(3) - 2)*log(4*(x^2 + (x^4 - x^3)^(1/4)*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2) + sqrt(x^4 - x^3))/x^2) + 1/2*sqrt(sqrt(3) + 2)*(sqrt(3) - 2)*log(4*(x^2 - (x^4 - x^3)^(1/4)*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2) + sqrt(x^4 - x^3))/x^2) + sqrt(-4*sqrt(3) + 8)*arctan(1/2*(sqrt(2)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8)*sqrt((2*x^2 + (x^4 - x^3)^(1/4)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 - x^3))/x^2) - 2*(x^4 - x^3)^(1/4)*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8) - 2*sqrt(3)*x - 4*x)/x) + sqrt(-4*sqrt(3) + 8)*arctan(1/2*(sqrt(2)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8)*sqrt((2*x^2 - (x^4 - x^3)^(1/4)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 - x^3))/x^2) - 2*(x^4 - x^3)^(1/4)*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(3)*x + 4*x)/x) - 2*sqrt(sqrt(3) + 2)*arctan((2*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2)*sqrt((x^2 + (x^4 - x^3)^(1/4)*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2) + sqrt(x^4 - x^3))/x^2) - 2*(x^4 - x^3)^(1/4)*sqrt(sqrt(3) + 2)*(sqrt(3) - 2) + sqrt(3)*x - 2*x)/x) - 2*sqrt(sqrt(3) + 2)*arctan((2*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2)*sqrt((x^2 - (x^4 - x^3)^(1/4)*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2) + sqrt(x^4 - x^3))/x^2) - 2*(x^4 - x^3)^(1/4)*sqrt(sqrt(3) + 2)*(sqrt(3) - 2) - sqrt(3)*x + 2*x)/x) + (x^4 - x^3)^(1/4) + 7/2*arctan((x^4 - x^3)^(1/4)/x) + 7/4*log((x + (x^4 - x^3)^(1/4))/x) - 7/4*log(-(x - (x^4 - x^3)^(1/4))/x)","B",0
2053,-1,0,0,0.000000," ","integrate((-a*x^6+b)^(1/3)*(a*x^6+b)/x^2/(a*x^6+c*x^3-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2054,1,103,0,3.602260," ","integrate(x^2*(7*x^3+4)/(x^4+x)^(1/3)/(x^7+x^4-1),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{2 \, \sqrt{3} {\left(x^{4} + x\right)}^{\frac{2}{3}} x^{2} - 4 \, \sqrt{3} {\left(x^{4} + x\right)}^{\frac{1}{3}} x - \sqrt{3} {\left(x^{7} + x^{4}\right)}}{x^{7} + x^{4} + 8}\right) + \frac{1}{2} \, \log\left(\frac{x^{7} + x^{4} - 3 \, {\left(x^{4} + x\right)}^{\frac{2}{3}} x^{2} + 3 \, {\left(x^{4} + x\right)}^{\frac{1}{3}} x - 1}{x^{7} + x^{4} - 1}\right)"," ",0,"-sqrt(3)*arctan((2*sqrt(3)*(x^4 + x)^(2/3)*x^2 - 4*sqrt(3)*(x^4 + x)^(1/3)*x - sqrt(3)*(x^7 + x^4))/(x^7 + x^4 + 8)) + 1/2*log((x^7 + x^4 - 3*(x^4 + x)^(2/3)*x^2 + 3*(x^4 + x)^(1/3)*x - 1)/(x^7 + x^4 - 1))","A",0
2055,-1,0,0,0.000000," ","integrate((c*x^4+2*d)/(a*x^4-b)^(1/4)/(e*x^8-2*f),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2056,1,378,0,4.540289," ","integrate((1+x)^(1/2)*(x^2+1)/(x^2-1)/(x+(1+x)^(1/2))^(1/2),x, algorithm=""fricas"")","-2 \, \sqrt{2} \sqrt{\sqrt{2} + 1} \arctan\left(-\frac{\sqrt{5} \sqrt{2} {\left(28 \, x^{2} + \sqrt{2} {\left(7 \, x^{2} + 2 \, x - 9\right)} + 2 \, {\left(\sqrt{2} {\left(x - 13\right)} - 10 \, x + 10\right)} \sqrt{x + 1} - 28 \, x - 48\right)} \sqrt{\sqrt{2} + 1} \sqrt{\sqrt{2} - 1} + 2 \, \sqrt{2} {\left(8 \, \sqrt{2} {\left(x + 2\right)} - {\left(3 \, \sqrt{2} {\left(7 \, x - 11\right)} - 14 \, x + 62\right)} \sqrt{x + 1} + 18 \, x + 6\right)} \sqrt{x + \sqrt{x + 1}} \sqrt{\sqrt{2} + 1}}{2 \, {\left(49 \, x^{2} - 74 \, x - 119\right)}}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} - 1} \log\left(-\frac{2 \, {\left(\sqrt{2} {\left(\sqrt{2} {\left(5 \, x + 3\right)} + 2 \, \sqrt{x + 1} {\left(3 \, \sqrt{2} + 4\right)} + 6 \, x + 6\right)} \sqrt{\sqrt{2} - 1} + 4 \, {\left(\sqrt{x + 1} {\left(\sqrt{2} + 1\right)} + \sqrt{2} + 2\right)} \sqrt{x + \sqrt{x + 1}}\right)}}{x - 1}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} - 1} \log\left(\frac{2 \, {\left(\sqrt{2} {\left(\sqrt{2} {\left(5 \, x + 3\right)} + 2 \, \sqrt{x + 1} {\left(3 \, \sqrt{2} + 4\right)} + 6 \, x + 6\right)} \sqrt{\sqrt{2} - 1} - 4 \, {\left(\sqrt{x + 1} {\left(\sqrt{2} + 1\right)} + \sqrt{2} + 2\right)} \sqrt{x + \sqrt{x + 1}}\right)}}{x - 1}\right) + \frac{1}{2} \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} - 3\right)} + \frac{7}{8} \, \log\left(4 \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} + 1\right)} + 8 \, x + 8 \, \sqrt{x + 1} + 5\right)"," ",0,"-2*sqrt(2)*sqrt(sqrt(2) + 1)*arctan(-1/2*(sqrt(5)*sqrt(2)*(28*x^2 + sqrt(2)*(7*x^2 + 2*x - 9) + 2*(sqrt(2)*(x - 13) - 10*x + 10)*sqrt(x + 1) - 28*x - 48)*sqrt(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + 2*sqrt(2)*(8*sqrt(2)*(x + 2) - (3*sqrt(2)*(7*x - 11) - 14*x + 62)*sqrt(x + 1) + 18*x + 6)*sqrt(x + sqrt(x + 1))*sqrt(sqrt(2) + 1))/(49*x^2 - 74*x - 119)) - 1/2*sqrt(2)*sqrt(sqrt(2) - 1)*log(-2*(sqrt(2)*(sqrt(2)*(5*x + 3) + 2*sqrt(x + 1)*(3*sqrt(2) + 4) + 6*x + 6)*sqrt(sqrt(2) - 1) + 4*(sqrt(x + 1)*(sqrt(2) + 1) + sqrt(2) + 2)*sqrt(x + sqrt(x + 1)))/(x - 1)) + 1/2*sqrt(2)*sqrt(sqrt(2) - 1)*log(2*(sqrt(2)*(sqrt(2)*(5*x + 3) + 2*sqrt(x + 1)*(3*sqrt(2) + 4) + 6*x + 6)*sqrt(sqrt(2) - 1) - 4*(sqrt(x + 1)*(sqrt(2) + 1) + sqrt(2) + 2)*sqrt(x + sqrt(x + 1)))/(x - 1)) + 1/2*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) - 3) + 7/8*log(4*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) + 1) + 8*x + 8*sqrt(x + 1) + 5)","B",0
2057,1,378,0,4.510063," ","integrate((1+x)^(1/2)*(x^2+1)/(x^2-1)/(x+(1+x)^(1/2))^(1/2),x, algorithm=""fricas"")","-2 \, \sqrt{2} \sqrt{\sqrt{2} + 1} \arctan\left(-\frac{\sqrt{5} \sqrt{2} {\left(28 \, x^{2} + \sqrt{2} {\left(7 \, x^{2} + 2 \, x - 9\right)} + 2 \, {\left(\sqrt{2} {\left(x - 13\right)} - 10 \, x + 10\right)} \sqrt{x + 1} - 28 \, x - 48\right)} \sqrt{\sqrt{2} + 1} \sqrt{\sqrt{2} - 1} + 2 \, \sqrt{2} {\left(8 \, \sqrt{2} {\left(x + 2\right)} - {\left(3 \, \sqrt{2} {\left(7 \, x - 11\right)} - 14 \, x + 62\right)} \sqrt{x + 1} + 18 \, x + 6\right)} \sqrt{x + \sqrt{x + 1}} \sqrt{\sqrt{2} + 1}}{2 \, {\left(49 \, x^{2} - 74 \, x - 119\right)}}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} - 1} \log\left(-\frac{2 \, {\left(\sqrt{2} {\left(\sqrt{2} {\left(5 \, x + 3\right)} + 2 \, \sqrt{x + 1} {\left(3 \, \sqrt{2} + 4\right)} + 6 \, x + 6\right)} \sqrt{\sqrt{2} - 1} + 4 \, {\left(\sqrt{x + 1} {\left(\sqrt{2} + 1\right)} + \sqrt{2} + 2\right)} \sqrt{x + \sqrt{x + 1}}\right)}}{x - 1}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} - 1} \log\left(\frac{2 \, {\left(\sqrt{2} {\left(\sqrt{2} {\left(5 \, x + 3\right)} + 2 \, \sqrt{x + 1} {\left(3 \, \sqrt{2} + 4\right)} + 6 \, x + 6\right)} \sqrt{\sqrt{2} - 1} - 4 \, {\left(\sqrt{x + 1} {\left(\sqrt{2} + 1\right)} + \sqrt{2} + 2\right)} \sqrt{x + \sqrt{x + 1}}\right)}}{x - 1}\right) + \frac{1}{2} \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} - 3\right)} + \frac{7}{8} \, \log\left(4 \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} + 1\right)} + 8 \, x + 8 \, \sqrt{x + 1} + 5\right)"," ",0,"-2*sqrt(2)*sqrt(sqrt(2) + 1)*arctan(-1/2*(sqrt(5)*sqrt(2)*(28*x^2 + sqrt(2)*(7*x^2 + 2*x - 9) + 2*(sqrt(2)*(x - 13) - 10*x + 10)*sqrt(x + 1) - 28*x - 48)*sqrt(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + 2*sqrt(2)*(8*sqrt(2)*(x + 2) - (3*sqrt(2)*(7*x - 11) - 14*x + 62)*sqrt(x + 1) + 18*x + 6)*sqrt(x + sqrt(x + 1))*sqrt(sqrt(2) + 1))/(49*x^2 - 74*x - 119)) - 1/2*sqrt(2)*sqrt(sqrt(2) - 1)*log(-2*(sqrt(2)*(sqrt(2)*(5*x + 3) + 2*sqrt(x + 1)*(3*sqrt(2) + 4) + 6*x + 6)*sqrt(sqrt(2) - 1) + 4*(sqrt(x + 1)*(sqrt(2) + 1) + sqrt(2) + 2)*sqrt(x + sqrt(x + 1)))/(x - 1)) + 1/2*sqrt(2)*sqrt(sqrt(2) - 1)*log(2*(sqrt(2)*(sqrt(2)*(5*x + 3) + 2*sqrt(x + 1)*(3*sqrt(2) + 4) + 6*x + 6)*sqrt(sqrt(2) - 1) - 4*(sqrt(x + 1)*(sqrt(2) + 1) + sqrt(2) + 2)*sqrt(x + sqrt(x + 1)))/(x - 1)) + 1/2*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) - 3) + 7/8*log(4*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) + 1) + 8*x + 8*sqrt(x + 1) + 5)","B",0
2058,1,226,0,0.500295," ","integrate((x-(x^2-1)^(1/2))^(1/2)/x^2,x, algorithm=""fricas"")","-\frac{4 \, \sqrt{2} x \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x - \sqrt{x^{2} - 1}} + x - \sqrt{x^{2} - 1} + 1} - \sqrt{2} \sqrt{x - \sqrt{x^{2} - 1}} - 1\right) + 4 \, \sqrt{2} x \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x - \sqrt{x^{2} - 1}} + 4 \, x - 4 \, \sqrt{x^{2} - 1} + 4} - \sqrt{2} \sqrt{x - \sqrt{x^{2} - 1}} + 1\right) + \sqrt{2} x \log\left(4 \, \sqrt{2} \sqrt{x - \sqrt{x^{2} - 1}} + 4 \, x - 4 \, \sqrt{x^{2} - 1} + 4\right) - \sqrt{2} x \log\left(-4 \, \sqrt{2} \sqrt{x - \sqrt{x^{2} - 1}} + 4 \, x - 4 \, \sqrt{x^{2} - 1} + 4\right) + 4 \, \sqrt{x - \sqrt{x^{2} - 1}}}{4 \, x}"," ",0,"-1/4*(4*sqrt(2)*x*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x - sqrt(x^2 - 1)) + x - sqrt(x^2 - 1) + 1) - sqrt(2)*sqrt(x - sqrt(x^2 - 1)) - 1) + 4*sqrt(2)*x*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x - sqrt(x^2 - 1)) + 4*x - 4*sqrt(x^2 - 1) + 4) - sqrt(2)*sqrt(x - sqrt(x^2 - 1)) + 1) + sqrt(2)*x*log(4*sqrt(2)*sqrt(x - sqrt(x^2 - 1)) + 4*x - 4*sqrt(x^2 - 1) + 4) - sqrt(2)*x*log(-4*sqrt(2)*sqrt(x - sqrt(x^2 - 1)) + 4*x - 4*sqrt(x^2 - 1) + 4) + 4*sqrt(x - sqrt(x^2 - 1)))/x","B",0
2059,1,268,0,0.504617," ","integrate((a*x+(a^2*x^2-b*x)^(1/2))^(3/4)/(a^2*x^2-b*x)^(1/2),x, algorithm=""fricas"")","-\frac{12 \, \left(\frac{1}{8}\right)^{\frac{1}{4}} a \left(\frac{b^{3}}{a^{7}}\right)^{\frac{1}{4}} \arctan\left(-\frac{2 \, {\left(\left(\frac{1}{8}\right)^{\frac{1}{4}} {\left(a x + \sqrt{a^{2} x^{2} - b x}\right)}^{\frac{1}{4}} a^{2} b^{2} \left(\frac{b^{3}}{a^{7}}\right)^{\frac{1}{4}} - \left(\frac{1}{8}\right)^{\frac{1}{4}} \sqrt{\sqrt{\frac{1}{2}} a^{3} b^{3} \sqrt{\frac{b^{3}}{a^{7}}} + \sqrt{a x + \sqrt{a^{2} x^{2} - b x}} b^{4}} a^{2} \left(\frac{b^{3}}{a^{7}}\right)^{\frac{1}{4}}\right)}}{b^{3}}\right) + 3 \, \left(\frac{1}{8}\right)^{\frac{1}{4}} a \left(\frac{b^{3}}{a^{7}}\right)^{\frac{1}{4}} \log\left(4 \, \left(\frac{1}{8}\right)^{\frac{3}{4}} a^{5} \left(\frac{b^{3}}{a^{7}}\right)^{\frac{3}{4}} + {\left(a x + \sqrt{a^{2} x^{2} - b x}\right)}^{\frac{1}{4}} b^{2}\right) - 3 \, \left(\frac{1}{8}\right)^{\frac{1}{4}} a \left(\frac{b^{3}}{a^{7}}\right)^{\frac{1}{4}} \log\left(-4 \, \left(\frac{1}{8}\right)^{\frac{3}{4}} a^{5} \left(\frac{b^{3}}{a^{7}}\right)^{\frac{3}{4}} + {\left(a x + \sqrt{a^{2} x^{2} - b x}\right)}^{\frac{1}{4}} b^{2}\right) - 4 \, {\left(a x + \sqrt{a^{2} x^{2} - b x}\right)}^{\frac{3}{4}}}{3 \, a}"," ",0,"-1/3*(12*(1/8)^(1/4)*a*(b^3/a^7)^(1/4)*arctan(-2*((1/8)^(1/4)*(a*x + sqrt(a^2*x^2 - b*x))^(1/4)*a^2*b^2*(b^3/a^7)^(1/4) - (1/8)^(1/4)*sqrt(sqrt(1/2)*a^3*b^3*sqrt(b^3/a^7) + sqrt(a*x + sqrt(a^2*x^2 - b*x))*b^4)*a^2*(b^3/a^7)^(1/4))/b^3) + 3*(1/8)^(1/4)*a*(b^3/a^7)^(1/4)*log(4*(1/8)^(3/4)*a^5*(b^3/a^7)^(3/4) + (a*x + sqrt(a^2*x^2 - b*x))^(1/4)*b^2) - 3*(1/8)^(1/4)*a*(b^3/a^7)^(1/4)*log(-4*(1/8)^(3/4)*a^5*(b^3/a^7)^(3/4) + (a*x + sqrt(a^2*x^2 - b*x))^(1/4)*b^2) - 4*(a*x + sqrt(a^2*x^2 - b*x))^(3/4))/a","B",0
2060,1,833,0,0.540847," ","integrate((1+x)*(x^4+x^3)^(1/4)/x/(x^3-1),x, algorithm=""fricas"")","\frac{1}{12} \, {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} \log\left(\frac{2 \, {\left(2 \, x^{2} + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} + x^{3}}\right)}}{x^{2}}\right) - \frac{1}{12} \, {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} \log\left(\frac{2 \, {\left(2 \, x^{2} - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} + x^{3}}\right)}}{x^{2}}\right) + \frac{1}{6} \, \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} \log\left(\frac{4 \, {\left(x^{2} + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} + x^{3}}\right)}}{x^{2}}\right) - \frac{1}{6} \, \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} \log\left(\frac{4 \, {\left(x^{2} - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} + x^{3}}\right)}}{x^{2}}\right) - \frac{1}{3} \, \sqrt{-4 \, \sqrt{3} + 8} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{\frac{2 \, x^{2} + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} - 2 \, \sqrt{3} x - 4 \, x}{2 \, x}\right) - \frac{1}{3} \, \sqrt{-4 \, \sqrt{3} + 8} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{\frac{2 \, x^{2} - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{3} x + 4 \, x}{2 \, x}\right) + \frac{2}{3} \, \sqrt{\sqrt{3} + 2} \arctan\left(\frac{2 \, {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} \sqrt{\frac{x^{2} + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} + x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} + \sqrt{3} x - 2 \, x}{x}\right) + \frac{2}{3} \, \sqrt{\sqrt{3} + 2} \arctan\left(\frac{2 \, {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} \sqrt{\frac{x^{2} - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} + x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} - \sqrt{3} x + 2 \, x}{x}\right) + \frac{8}{3} \cdot 2^{\frac{1}{4}} \arctan\left(\frac{2^{\frac{3}{4}} x \sqrt{\frac{\sqrt{2} x^{2} + \sqrt{x^{4} + x^{3}}}{x^{2}}} - 2^{\frac{3}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{2 \, x}\right) - \frac{2}{3} \cdot 2^{\frac{1}{4}} \log\left(\frac{2^{\frac{1}{4}} x + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{2}{3} \cdot 2^{\frac{1}{4}} \log\left(-\frac{2^{\frac{1}{4}} x - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"1/12*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8)*log(2*(2*x^2 + (x^4 + x^3)^(1/4)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 + x^3))/x^2) - 1/12*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8)*log(2*(2*x^2 - (x^4 + x^3)^(1/4)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 + x^3))/x^2) + 1/6*sqrt(sqrt(3) + 2)*(sqrt(3) - 2)*log(4*(x^2 + (x^4 + x^3)^(1/4)*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2) + sqrt(x^4 + x^3))/x^2) - 1/6*sqrt(sqrt(3) + 2)*(sqrt(3) - 2)*log(4*(x^2 - (x^4 + x^3)^(1/4)*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2) + sqrt(x^4 + x^3))/x^2) - 1/3*sqrt(-4*sqrt(3) + 8)*arctan(1/2*(sqrt(2)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8)*sqrt((2*x^2 + (x^4 + x^3)^(1/4)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 + x^3))/x^2) - 2*(x^4 + x^3)^(1/4)*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8) - 2*sqrt(3)*x - 4*x)/x) - 1/3*sqrt(-4*sqrt(3) + 8)*arctan(1/2*(sqrt(2)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8)*sqrt((2*x^2 - (x^4 + x^3)^(1/4)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 + x^3))/x^2) - 2*(x^4 + x^3)^(1/4)*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(3)*x + 4*x)/x) + 2/3*sqrt(sqrt(3) + 2)*arctan((2*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2)*sqrt((x^2 + (x^4 + x^3)^(1/4)*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2) + sqrt(x^4 + x^3))/x^2) - 2*(x^4 + x^3)^(1/4)*sqrt(sqrt(3) + 2)*(sqrt(3) - 2) + sqrt(3)*x - 2*x)/x) + 2/3*sqrt(sqrt(3) + 2)*arctan((2*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2)*sqrt((x^2 - (x^4 + x^3)^(1/4)*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2) + sqrt(x^4 + x^3))/x^2) - 2*(x^4 + x^3)^(1/4)*sqrt(sqrt(3) + 2)*(sqrt(3) - 2) - sqrt(3)*x + 2*x)/x) + 8/3*2^(1/4)*arctan(1/2*(2^(3/4)*x*sqrt((sqrt(2)*x^2 + sqrt(x^4 + x^3))/x^2) - 2^(3/4)*(x^4 + x^3)^(1/4))/x) - 2/3*2^(1/4)*log((2^(1/4)*x + (x^4 + x^3)^(1/4))/x) + 2/3*2^(1/4)*log(-(2^(1/4)*x - (x^4 + x^3)^(1/4))/x)","B",0
2061,1,334,0,0.500971," ","integrate((a*x^4-b*x^3)^(1/4)*(c*x^4-d)/x^4,x, algorithm=""fricas"")","\frac{540 \, \left(\frac{b^{8} c^{4}}{a^{7}}\right)^{\frac{1}{4}} a b^{2} x^{3} \arctan\left(-\frac{\left(\frac{b^{8} c^{4}}{a^{7}}\right)^{\frac{3}{4}} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} a^{5} b^{2} c - \left(\frac{b^{8} c^{4}}{a^{7}}\right)^{\frac{3}{4}} a^{5} x \sqrt{\frac{\sqrt{a x^{4} - b x^{3}} b^{4} c^{2} + \sqrt{\frac{b^{8} c^{4}}{a^{7}}} a^{4} x^{2}}{x^{2}}}}{b^{8} c^{4} x}\right) - 135 \, \left(\frac{b^{8} c^{4}}{a^{7}}\right)^{\frac{1}{4}} a b^{2} x^{3} \log\left(\frac{3 \, {\left({\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} b^{2} c + \left(\frac{b^{8} c^{4}}{a^{7}}\right)^{\frac{1}{4}} a^{2} x\right)}}{x}\right) + 135 \, \left(\frac{b^{8} c^{4}}{a^{7}}\right)^{\frac{1}{4}} a b^{2} x^{3} \log\left(\frac{3 \, {\left({\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} b^{2} c - \left(\frac{b^{8} c^{4}}{a^{7}}\right)^{\frac{1}{4}} a^{2} x\right)}}{x}\right) + 4 \, {\left(180 \, a b^{2} c x^{4} - 45 \, b^{3} c x^{3} - 128 \, a^{3} d x^{2} - 32 \, a^{2} b d x + 160 \, a b^{2} d\right)} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{1440 \, a b^{2} x^{3}}"," ",0,"1/1440*(540*(b^8*c^4/a^7)^(1/4)*a*b^2*x^3*arctan(-((b^8*c^4/a^7)^(3/4)*(a*x^4 - b*x^3)^(1/4)*a^5*b^2*c - (b^8*c^4/a^7)^(3/4)*a^5*x*sqrt((sqrt(a*x^4 - b*x^3)*b^4*c^2 + sqrt(b^8*c^4/a^7)*a^4*x^2)/x^2))/(b^8*c^4*x)) - 135*(b^8*c^4/a^7)^(1/4)*a*b^2*x^3*log(3*((a*x^4 - b*x^3)^(1/4)*b^2*c + (b^8*c^4/a^7)^(1/4)*a^2*x)/x) + 135*(b^8*c^4/a^7)^(1/4)*a*b^2*x^3*log(3*((a*x^4 - b*x^3)^(1/4)*b^2*c - (b^8*c^4/a^7)^(1/4)*a^2*x)/x) + 4*(180*a*b^2*c*x^4 - 45*b^3*c*x^3 - 128*a^3*d*x^2 - 32*a^2*b*d*x + 160*a*b^2*d)*(a*x^4 - b*x^3)^(1/4))/(a*b^2*x^3)","B",0
2062,1,303,0,3.252511," ","integrate((x^3+1)^(2/3)*(x^3+2)/x^6/(x^3+4),x, algorithm=""fricas"")","\frac{30 \cdot 6^{\frac{1}{6}} \sqrt{2} \left(-1\right)^{\frac{1}{3}} x^{5} \arctan\left(\frac{6^{\frac{1}{6}} {\left(24 \cdot 6^{\frac{2}{3}} \sqrt{2} \left(-1\right)^{\frac{2}{3}} {\left(5 \, x^{7} + 22 \, x^{4} + 8 \, x\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}} - 36 \, \sqrt{2} \left(-1\right)^{\frac{1}{3}} {\left(109 \, x^{8} + 116 \, x^{5} + 16 \, x^{2}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 6^{\frac{1}{3}} \sqrt{2} {\left(1189 \, x^{9} + 2064 \, x^{6} + 912 \, x^{3} + 64\right)}\right)}}{6 \, {\left(971 \, x^{9} + 960 \, x^{6} - 48 \, x^{3} - 64\right)}}\right) + 10 \cdot 6^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} x^{5} \log\left(-\frac{18 \cdot 6^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 6^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{3} + 4\right)} - 36 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} x}{x^{3} + 4}\right) - 5 \cdot 6^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} x^{5} \log\left(-\frac{12 \cdot 6^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(5 \, x^{4} + 2 \, x\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}} - 6^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(109 \, x^{6} + 116 \, x^{3} + 16\right)} - 18 \, {\left(11 \, x^{5} + 8 \, x^{2}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x^{6} + 8 \, x^{3} + 16}\right) - 36 \, {\left(13 \, x^{3} + 8\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{2880 \, x^{5}}"," ",0,"1/2880*(30*6^(1/6)*sqrt(2)*(-1)^(1/3)*x^5*arctan(1/6*6^(1/6)*(24*6^(2/3)*sqrt(2)*(-1)^(2/3)*(5*x^7 + 22*x^4 + 8*x)*(x^3 + 1)^(2/3) - 36*sqrt(2)*(-1)^(1/3)*(109*x^8 + 116*x^5 + 16*x^2)*(x^3 + 1)^(1/3) + 6^(1/3)*sqrt(2)*(1189*x^9 + 2064*x^6 + 912*x^3 + 64))/(971*x^9 + 960*x^6 - 48*x^3 - 64)) + 10*6^(2/3)*(-1)^(1/3)*x^5*log(-(18*6^(1/3)*(-1)^(2/3)*(x^3 + 1)^(1/3)*x^2 - 6^(2/3)*(-1)^(1/3)*(x^3 + 4) - 36*(x^3 + 1)^(2/3)*x)/(x^3 + 4)) - 5*6^(2/3)*(-1)^(1/3)*x^5*log(-(12*6^(2/3)*(-1)^(1/3)*(5*x^4 + 2*x)*(x^3 + 1)^(2/3) - 6^(1/3)*(-1)^(2/3)*(109*x^6 + 116*x^3 + 16) - 18*(11*x^5 + 8*x^2)*(x^3 + 1)^(1/3))/(x^6 + 8*x^3 + 16)) - 36*(13*x^3 + 8)*(x^3 + 1)^(2/3))/x^5","B",0
2063,1,279,0,2.921114," ","integrate((x^3-1)*(3*x^3+1)^(2/3)/x^6/(x^3+1),x, algorithm=""fricas"")","\frac{10 \, \sqrt{3} \left(-4\right)^{\frac{1}{3}} x^{5} \arctan\left(\frac{3 \, \sqrt{3} \left(-4\right)^{\frac{2}{3}} {\left(7 \, x^{7} + 8 \, x^{4} + x\right)} {\left(3 \, x^{3} + 1\right)}^{\frac{2}{3}} - 6 \, \sqrt{3} \left(-4\right)^{\frac{1}{3}} {\left(55 \, x^{8} + 20 \, x^{5} + x^{2}\right)} {\left(3 \, x^{3} + 1\right)}^{\frac{1}{3}} + \sqrt{3} {\left(433 \, x^{9} + 255 \, x^{6} + 39 \, x^{3} + 1\right)}}{3 \, {\left(323 \, x^{9} + 105 \, x^{6} - 3 \, x^{3} - 1\right)}}\right) + 10 \, \left(-4\right)^{\frac{1}{3}} x^{5} \log\left(-\frac{3 \, \left(-4\right)^{\frac{2}{3}} {\left(3 \, x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 6 \, {\left(3 \, x^{3} + 1\right)}^{\frac{2}{3}} x - \left(-4\right)^{\frac{1}{3}} {\left(x^{3} + 1\right)}}{x^{3} + 1}\right) - 5 \, \left(-4\right)^{\frac{1}{3}} x^{5} \log\left(-\frac{6 \, \left(-4\right)^{\frac{1}{3}} {\left(7 \, x^{4} + x\right)} {\left(3 \, x^{3} + 1\right)}^{\frac{2}{3}} - \left(-4\right)^{\frac{2}{3}} {\left(55 \, x^{6} + 20 \, x^{3} + 1\right)} - 24 \, {\left(4 \, x^{5} + x^{2}\right)} {\left(3 \, x^{3} + 1\right)}^{\frac{1}{3}}}{x^{6} + 2 \, x^{3} + 1}\right) - 9 \, {\left(3 \, x^{3} + 1\right)}^{\frac{2}{3}} {\left(2 \, x^{3} - 1\right)}}{45 \, x^{5}}"," ",0,"1/45*(10*sqrt(3)*(-4)^(1/3)*x^5*arctan(1/3*(3*sqrt(3)*(-4)^(2/3)*(7*x^7 + 8*x^4 + x)*(3*x^3 + 1)^(2/3) - 6*sqrt(3)*(-4)^(1/3)*(55*x^8 + 20*x^5 + x^2)*(3*x^3 + 1)^(1/3) + sqrt(3)*(433*x^9 + 255*x^6 + 39*x^3 + 1))/(323*x^9 + 105*x^6 - 3*x^3 - 1)) + 10*(-4)^(1/3)*x^5*log(-(3*(-4)^(2/3)*(3*x^3 + 1)^(1/3)*x^2 - 6*(3*x^3 + 1)^(2/3)*x - (-4)^(1/3)*(x^3 + 1))/(x^3 + 1)) - 5*(-4)^(1/3)*x^5*log(-(6*(-4)^(1/3)*(7*x^4 + x)*(3*x^3 + 1)^(2/3) - (-4)^(2/3)*(55*x^6 + 20*x^3 + 1) - 24*(4*x^5 + x^2)*(3*x^3 + 1)^(1/3))/(x^6 + 2*x^3 + 1)) - 9*(3*x^3 + 1)^(2/3)*(2*x^3 - 1))/x^5","B",0
2064,1,279,0,4.036682," ","integrate((-12*x^4+8*x^2-8*x+3)/x/((-2*x^2+1)/(2*x^2+1))^(1/3)/(2*x^2+1)/(2*x^4-6*x^3+7*x^2-7*x+3),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{434 \, \sqrt{3} {\left(2 \, x^{3} - 2 \, x^{2} + x - 1\right)} \left(-\frac{2 \, x^{2} - 1}{2 \, x^{2} + 1}\right)^{\frac{2}{3}} + 682 \, \sqrt{3} {\left(2 \, x^{4} - 4 \, x^{3} + 3 \, x^{2} - 2 \, x + 1\right)} \left(-\frac{2 \, x^{2} - 1}{2 \, x^{2} + 1}\right)^{\frac{1}{3}} + \sqrt{3} {\left(242 \, x^{5} - 726 \, x^{4} + 847 \, x^{3} - 1095 \, x^{2} + 363 \, x + 124\right)}}{2662 \, x^{5} - 7986 \, x^{4} + 9317 \, x^{3} - 5969 \, x^{2} + 3993 \, x - 1674}\right) + \frac{1}{2} \, \log\left(\frac{2 \, x^{5} - 6 \, x^{4} + 7 \, x^{3} - 7 \, x^{2} + 3 \, {\left(2 \, x^{3} - 2 \, x^{2} + x - 1\right)} \left(-\frac{2 \, x^{2} - 1}{2 \, x^{2} + 1}\right)^{\frac{2}{3}} + 3 \, {\left(2 \, x^{4} - 4 \, x^{3} + 3 \, x^{2} - 2 \, x + 1\right)} \left(-\frac{2 \, x^{2} - 1}{2 \, x^{2} + 1}\right)^{\frac{1}{3}} + 3 \, x}{2 \, x^{5} - 6 \, x^{4} + 7 \, x^{3} - 7 \, x^{2} + 3 \, x}\right)"," ",0,"-sqrt(3)*arctan((434*sqrt(3)*(2*x^3 - 2*x^2 + x - 1)*(-(2*x^2 - 1)/(2*x^2 + 1))^(2/3) + 682*sqrt(3)*(2*x^4 - 4*x^3 + 3*x^2 - 2*x + 1)*(-(2*x^2 - 1)/(2*x^2 + 1))^(1/3) + sqrt(3)*(242*x^5 - 726*x^4 + 847*x^3 - 1095*x^2 + 363*x + 124))/(2662*x^5 - 7986*x^4 + 9317*x^3 - 5969*x^2 + 3993*x - 1674)) + 1/2*log((2*x^5 - 6*x^4 + 7*x^3 - 7*x^2 + 3*(2*x^3 - 2*x^2 + x - 1)*(-(2*x^2 - 1)/(2*x^2 + 1))^(2/3) + 3*(2*x^4 - 4*x^3 + 3*x^2 - 2*x + 1)*(-(2*x^2 - 1)/(2*x^2 + 1))^(1/3) + 3*x)/(2*x^5 - 6*x^4 + 7*x^3 - 7*x^2 + 3*x))","A",0
2065,1,426,0,0.617479," ","integrate(x^2/(a*x^3+b*x)^(1/2)/(a^2*x^4-b^2),x, algorithm=""fricas"")","-\frac{4 \, \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} b x^{2} + a b^{2}\right)} \left(\frac{1}{a^{5} b^{5}}\right)^{\frac{1}{4}} \arctan\left(\frac{4 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} \sqrt{a x^{3} + b x} a^{4} b^{4} \left(\frac{1}{a^{5} b^{5}}\right)^{\frac{3}{4}}}{a x^{2} + b}\right) + \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} b x^{2} + a b^{2}\right)} \left(\frac{1}{a^{5} b^{5}}\right)^{\frac{1}{4}} \log\left(\frac{a^{2} x^{4} + 6 \, a b x^{2} + b^{2} + 8 \, {\left(\left(\frac{1}{4}\right)^{\frac{1}{4}} a^{2} b^{2} x \left(\frac{1}{a^{5} b^{5}}\right)^{\frac{1}{4}} + \left(\frac{1}{4}\right)^{\frac{3}{4}} {\left(a^{5} b^{4} x^{2} + a^{4} b^{5}\right)} \left(\frac{1}{a^{5} b^{5}}\right)^{\frac{3}{4}}\right)} \sqrt{a x^{3} + b x} + 4 \, {\left(a^{4} b^{3} x^{3} + a^{3} b^{4} x\right)} \sqrt{\frac{1}{a^{5} b^{5}}}}{a^{2} x^{4} - 2 \, a b x^{2} + b^{2}}\right) - \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} b x^{2} + a b^{2}\right)} \left(\frac{1}{a^{5} b^{5}}\right)^{\frac{1}{4}} \log\left(\frac{a^{2} x^{4} + 6 \, a b x^{2} + b^{2} - 8 \, {\left(\left(\frac{1}{4}\right)^{\frac{1}{4}} a^{2} b^{2} x \left(\frac{1}{a^{5} b^{5}}\right)^{\frac{1}{4}} + \left(\frac{1}{4}\right)^{\frac{3}{4}} {\left(a^{5} b^{4} x^{2} + a^{4} b^{5}\right)} \left(\frac{1}{a^{5} b^{5}}\right)^{\frac{3}{4}}\right)} \sqrt{a x^{3} + b x} + 4 \, {\left(a^{4} b^{3} x^{3} + a^{3} b^{4} x\right)} \sqrt{\frac{1}{a^{5} b^{5}}}}{a^{2} x^{4} - 2 \, a b x^{2} + b^{2}}\right) - 8 \, \sqrt{a x^{3} + b x}}{16 \, {\left(a^{2} b x^{2} + a b^{2}\right)}}"," ",0,"-1/16*(4*(1/4)^(1/4)*(a^2*b*x^2 + a*b^2)*(1/(a^5*b^5))^(1/4)*arctan(4*(1/4)^(3/4)*sqrt(a*x^3 + b*x)*a^4*b^4*(1/(a^5*b^5))^(3/4)/(a*x^2 + b)) + (1/4)^(1/4)*(a^2*b*x^2 + a*b^2)*(1/(a^5*b^5))^(1/4)*log((a^2*x^4 + 6*a*b*x^2 + b^2 + 8*((1/4)^(1/4)*a^2*b^2*x*(1/(a^5*b^5))^(1/4) + (1/4)^(3/4)*(a^5*b^4*x^2 + a^4*b^5)*(1/(a^5*b^5))^(3/4))*sqrt(a*x^3 + b*x) + 4*(a^4*b^3*x^3 + a^3*b^4*x)*sqrt(1/(a^5*b^5)))/(a^2*x^4 - 2*a*b*x^2 + b^2)) - (1/4)^(1/4)*(a^2*b*x^2 + a*b^2)*(1/(a^5*b^5))^(1/4)*log((a^2*x^4 + 6*a*b*x^2 + b^2 - 8*((1/4)^(1/4)*a^2*b^2*x*(1/(a^5*b^5))^(1/4) + (1/4)^(3/4)*(a^5*b^4*x^2 + a^4*b^5)*(1/(a^5*b^5))^(3/4))*sqrt(a*x^3 + b*x) + 4*(a^4*b^3*x^3 + a^3*b^4*x)*sqrt(1/(a^5*b^5)))/(a^2*x^4 - 2*a*b*x^2 + b^2)) - 8*sqrt(a*x^3 + b*x))/(a^2*b*x^2 + a*b^2)","B",0
2066,-1,0,0,0.000000," ","integrate((a*x^6+b)/x^6/(a*x^3-b)/(a*x^4+b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2067,-1,0,0,0.000000," ","integrate((x^8+2*x^3-1)^(1/3)*(5*x^8+3)/x^2/(x^8-1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2068,-1,0,0,0.000000," ","integrate((a*x^2+b^2)^(1/2)/(b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2069,-1,0,0,0.000000," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/(a*x^2+b^2)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2070,1,204,0,0.661760," ","integrate((a*x^2-b)^(3/4)/x^3,x, algorithm=""fricas"")","-\frac{12 \, \left(-\frac{a^{4}}{b}\right)^{\frac{1}{4}} x^{2} \arctan\left(-\frac{\left(-\frac{a^{4}}{b}\right)^{\frac{1}{4}} {\left(a x^{2} - b\right)}^{\frac{1}{4}} a^{3} - \sqrt{\sqrt{a x^{2} - b} a^{6} - \sqrt{-\frac{a^{4}}{b}} a^{4} b} \left(-\frac{a^{4}}{b}\right)^{\frac{1}{4}}}{a^{4}}\right) - 3 \, \left(-\frac{a^{4}}{b}\right)^{\frac{1}{4}} x^{2} \log\left(27 \, {\left(a x^{2} - b\right)}^{\frac{1}{4}} a^{3} + 27 \, \left(-\frac{a^{4}}{b}\right)^{\frac{3}{4}} b\right) + 3 \, \left(-\frac{a^{4}}{b}\right)^{\frac{1}{4}} x^{2} \log\left(27 \, {\left(a x^{2} - b\right)}^{\frac{1}{4}} a^{3} - 27 \, \left(-\frac{a^{4}}{b}\right)^{\frac{3}{4}} b\right) + 4 \, {\left(a x^{2} - b\right)}^{\frac{3}{4}}}{8 \, x^{2}}"," ",0,"-1/8*(12*(-a^4/b)^(1/4)*x^2*arctan(-((-a^4/b)^(1/4)*(a*x^2 - b)^(1/4)*a^3 - sqrt(sqrt(a*x^2 - b)*a^6 - sqrt(-a^4/b)*a^4*b)*(-a^4/b)^(1/4))/a^4) - 3*(-a^4/b)^(1/4)*x^2*log(27*(a*x^2 - b)^(1/4)*a^3 + 27*(-a^4/b)^(3/4)*b) + 3*(-a^4/b)^(1/4)*x^2*log(27*(a*x^2 - b)^(1/4)*a^3 - 27*(-a^4/b)^(3/4)*b) + 4*(a*x^2 - b)^(3/4))/x^2","A",0
2071,1,290,0,2.837542," ","integrate((x^3+1)*(2*x^3-1)^(2/3)/x^6/(2*x^3+1),x, algorithm=""fricas"")","-\frac{20 \, \sqrt{3} 2^{\frac{1}{3}} x^{5} \arctan\left(\frac{6 \, \sqrt{3} 2^{\frac{2}{3}} {\left(20 \, x^{7} + 8 \, x^{4} - x\right)} {\left(2 \, x^{3} - 1\right)}^{\frac{2}{3}} - 12 \, \sqrt{3} 2^{\frac{1}{3}} {\left(76 \, x^{8} - 32 \, x^{5} + x^{2}\right)} {\left(2 \, x^{3} - 1\right)}^{\frac{1}{3}} - \sqrt{3} {\left(568 \, x^{9} - 444 \, x^{6} + 66 \, x^{3} - 1\right)}}{3 \, {\left(872 \, x^{9} - 420 \, x^{6} + 6 \, x^{3} + 1\right)}}\right) - 20 \cdot 2^{\frac{1}{3}} x^{5} \log\left(-\frac{6 \cdot 2^{\frac{2}{3}} {\left(2 \, x^{3} - 1\right)}^{\frac{1}{3}} x^{2} - 6 \, {\left(2 \, x^{3} - 1\right)}^{\frac{2}{3}} x - 2^{\frac{1}{3}} {\left(2 \, x^{3} + 1\right)}}{2 \, x^{3} + 1}\right) + 10 \cdot 2^{\frac{1}{3}} x^{5} \log\left(\frac{6 \cdot 2^{\frac{1}{3}} {\left(10 \, x^{4} - x\right)} {\left(2 \, x^{3} - 1\right)}^{\frac{2}{3}} + 2^{\frac{2}{3}} {\left(76 \, x^{6} - 32 \, x^{3} + 1\right)} + 24 \, {\left(4 \, x^{5} - x^{2}\right)} {\left(2 \, x^{3} - 1\right)}^{\frac{1}{3}}}{4 \, x^{6} + 4 \, x^{3} + 1}\right) - 9 \, {\left(9 \, x^{3} - 2\right)} {\left(2 \, x^{3} - 1\right)}^{\frac{2}{3}}}{90 \, x^{5}}"," ",0,"-1/90*(20*sqrt(3)*2^(1/3)*x^5*arctan(1/3*(6*sqrt(3)*2^(2/3)*(20*x^7 + 8*x^4 - x)*(2*x^3 - 1)^(2/3) - 12*sqrt(3)*2^(1/3)*(76*x^8 - 32*x^5 + x^2)*(2*x^3 - 1)^(1/3) - sqrt(3)*(568*x^9 - 444*x^6 + 66*x^3 - 1))/(872*x^9 - 420*x^6 + 6*x^3 + 1)) - 20*2^(1/3)*x^5*log(-(6*2^(2/3)*(2*x^3 - 1)^(1/3)*x^2 - 6*(2*x^3 - 1)^(2/3)*x - 2^(1/3)*(2*x^3 + 1))/(2*x^3 + 1)) + 10*2^(1/3)*x^5*log((6*2^(1/3)*(10*x^4 - x)*(2*x^3 - 1)^(2/3) + 2^(2/3)*(76*x^6 - 32*x^3 + 1) + 24*(4*x^5 - x^2)*(2*x^3 - 1)^(1/3))/(4*x^6 + 4*x^3 + 1)) - 9*(9*x^3 - 2)*(2*x^3 - 1)^(2/3))/x^5","B",0
2072,1,278,0,3.209945," ","integrate((-x^3+1)^(2/3)*(4*x^3-1)/x^6/(3*x^3-2),x, algorithm=""fricas"")","\frac{100 \cdot 4^{\frac{1}{6}} \sqrt{3} x^{5} \arctan\left(\frac{4^{\frac{1}{6}} {\left(12 \cdot 4^{\frac{2}{3}} \sqrt{3} {\left(3 \, x^{4} - 2 \, x\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} - 4^{\frac{1}{3}} \sqrt{3} {\left(27 \, x^{9} - 72 \, x^{6} + 36 \, x^{3} + 8\right)} + 12 \, \sqrt{3} {\left(9 \, x^{8} - 6 \, x^{5} - 4 \, x^{2}\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}}{6 \, {\left(27 \, x^{9} - 36 \, x^{3} + 8\right)}}\right) + 50 \cdot 4^{\frac{2}{3}} x^{5} \log\left(-\frac{6 \cdot 4^{\frac{1}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 4^{\frac{2}{3}} {\left(3 \, x^{3} - 2\right)} - 12 \, {\left(-x^{3} + 1\right)}^{\frac{2}{3}} x}{3 \, x^{3} - 2}\right) - 25 \cdot 4^{\frac{2}{3}} x^{5} \log\left(\frac{6 \cdot 4^{\frac{2}{3}} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} x - 4^{\frac{1}{3}} {\left(9 \, x^{6} - 6 \, x^{3} - 4\right)} - 6 \, {\left(3 \, x^{5} - 4 \, x^{2}\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{9 \, x^{6} - 12 \, x^{3} + 4}\right) + 36 \, {\left(29 \, x^{3} - 4\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{1440 \, x^{5}}"," ",0,"1/1440*(100*4^(1/6)*sqrt(3)*x^5*arctan(1/6*4^(1/6)*(12*4^(2/3)*sqrt(3)*(3*x^4 - 2*x)*(-x^3 + 1)^(2/3) - 4^(1/3)*sqrt(3)*(27*x^9 - 72*x^6 + 36*x^3 + 8) + 12*sqrt(3)*(9*x^8 - 6*x^5 - 4*x^2)*(-x^3 + 1)^(1/3))/(27*x^9 - 36*x^3 + 8)) + 50*4^(2/3)*x^5*log(-(6*4^(1/3)*(-x^3 + 1)^(1/3)*x^2 - 4^(2/3)*(3*x^3 - 2) - 12*(-x^3 + 1)^(2/3)*x)/(3*x^3 - 2)) - 25*4^(2/3)*x^5*log((6*4^(2/3)*(-x^3 + 1)^(2/3)*x - 4^(1/3)*(9*x^6 - 6*x^3 - 4) - 6*(3*x^5 - 4*x^2)*(-x^3 + 1)^(1/3))/(9*x^6 - 12*x^3 + 4)) + 36*(29*x^3 - 4)*(-x^3 + 1)^(2/3))/x^5","B",0
2073,1,198,0,0.472714," ","integrate((a*x^3-b)^(1/4)/x^4,x, algorithm=""fricas"")","\frac{4 \, \left(-\frac{a^{4}}{b^{3}}\right)^{\frac{1}{4}} x^{3} \arctan\left(-\frac{{\left(a x^{3} - b\right)}^{\frac{1}{4}} a \left(-\frac{a^{4}}{b^{3}}\right)^{\frac{3}{4}} b^{2} - \sqrt{\sqrt{a x^{3} - b} a^{2} + \sqrt{-\frac{a^{4}}{b^{3}}} b^{2}} \left(-\frac{a^{4}}{b^{3}}\right)^{\frac{3}{4}} b^{2}}{a^{4}}\right) + \left(-\frac{a^{4}}{b^{3}}\right)^{\frac{1}{4}} x^{3} \log\left({\left(a x^{3} - b\right)}^{\frac{1}{4}} a + \left(-\frac{a^{4}}{b^{3}}\right)^{\frac{1}{4}} b\right) - \left(-\frac{a^{4}}{b^{3}}\right)^{\frac{1}{4}} x^{3} \log\left({\left(a x^{3} - b\right)}^{\frac{1}{4}} a - \left(-\frac{a^{4}}{b^{3}}\right)^{\frac{1}{4}} b\right) - 4 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}}{12 \, x^{3}}"," ",0,"1/12*(4*(-a^4/b^3)^(1/4)*x^3*arctan(-((a*x^3 - b)^(1/4)*a*(-a^4/b^3)^(3/4)*b^2 - sqrt(sqrt(a*x^3 - b)*a^2 + sqrt(-a^4/b^3)*b^2)*(-a^4/b^3)^(3/4)*b^2)/a^4) + (-a^4/b^3)^(1/4)*x^3*log((a*x^3 - b)^(1/4)*a + (-a^4/b^3)^(1/4)*b) - (-a^4/b^3)^(1/4)*x^3*log((a*x^3 - b)^(1/4)*a - (-a^4/b^3)^(1/4)*b) - 4*(a*x^3 - b)^(1/4))/x^3","A",0
2074,1,201,0,0.475561," ","integrate((a*x^3-b)^(3/4)/x^4,x, algorithm=""fricas"")","-\frac{12 \, \left(-\frac{a^{4}}{b}\right)^{\frac{1}{4}} x^{3} \arctan\left(-\frac{{\left(a x^{3} - b\right)}^{\frac{1}{4}} \left(-\frac{a^{4}}{b}\right)^{\frac{1}{4}} a^{3} - \sqrt{\sqrt{a x^{3} - b} a^{6} - \sqrt{-\frac{a^{4}}{b}} a^{4} b} \left(-\frac{a^{4}}{b}\right)^{\frac{1}{4}}}{a^{4}}\right) - 3 \, \left(-\frac{a^{4}}{b}\right)^{\frac{1}{4}} x^{3} \log\left({\left(a x^{3} - b\right)}^{\frac{1}{4}} a^{3} + \left(-\frac{a^{4}}{b}\right)^{\frac{3}{4}} b\right) + 3 \, \left(-\frac{a^{4}}{b}\right)^{\frac{1}{4}} x^{3} \log\left({\left(a x^{3} - b\right)}^{\frac{1}{4}} a^{3} - \left(-\frac{a^{4}}{b}\right)^{\frac{3}{4}} b\right) + 4 \, {\left(a x^{3} - b\right)}^{\frac{3}{4}}}{12 \, x^{3}}"," ",0,"-1/12*(12*(-a^4/b)^(1/4)*x^3*arctan(-((a*x^3 - b)^(1/4)*(-a^4/b)^(1/4)*a^3 - sqrt(sqrt(a*x^3 - b)*a^6 - sqrt(-a^4/b)*a^4*b)*(-a^4/b)^(1/4))/a^4) - 3*(-a^4/b)^(1/4)*x^3*log((a*x^3 - b)^(1/4)*a^3 + (-a^4/b)^(3/4)*b) + 3*(-a^4/b)^(1/4)*x^3*log((a*x^3 - b)^(1/4)*a^3 - (-a^4/b)^(3/4)*b) + 4*(a*x^3 - b)^(3/4))/x^3","A",0
2075,-1,0,0,0.000000," ","integrate((-a+x)*(-3*a*b+(a+2*b)*x)*(-b^3+3*b^2*x-3*b*x^2+x^3)/x/(x*(-a+x)*(-b+x)^2)^(3/4)/(a*b^2-b*(2*a+b)*x+(a+2*b)*x^2+(-1+d)*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2076,1,204,0,0.496302," ","integrate((a*x^5-b)^(3/4)/x^6,x, algorithm=""fricas"")","-\frac{12 \, \left(-\frac{a^{4}}{b}\right)^{\frac{1}{4}} x^{5} \arctan\left(-\frac{{\left(a x^{5} - b\right)}^{\frac{1}{4}} \left(-\frac{a^{4}}{b}\right)^{\frac{1}{4}} a^{3} - \sqrt{\sqrt{a x^{5} - b} a^{6} - \sqrt{-\frac{a^{4}}{b}} a^{4} b} \left(-\frac{a^{4}}{b}\right)^{\frac{1}{4}}}{a^{4}}\right) - 3 \, \left(-\frac{a^{4}}{b}\right)^{\frac{1}{4}} x^{5} \log\left(27 \, {\left(a x^{5} - b\right)}^{\frac{1}{4}} a^{3} + 27 \, \left(-\frac{a^{4}}{b}\right)^{\frac{3}{4}} b\right) + 3 \, \left(-\frac{a^{4}}{b}\right)^{\frac{1}{4}} x^{5} \log\left(27 \, {\left(a x^{5} - b\right)}^{\frac{1}{4}} a^{3} - 27 \, \left(-\frac{a^{4}}{b}\right)^{\frac{3}{4}} b\right) + 4 \, {\left(a x^{5} - b\right)}^{\frac{3}{4}}}{20 \, x^{5}}"," ",0,"-1/20*(12*(-a^4/b)^(1/4)*x^5*arctan(-((a*x^5 - b)^(1/4)*(-a^4/b)^(1/4)*a^3 - sqrt(sqrt(a*x^5 - b)*a^6 - sqrt(-a^4/b)*a^4*b)*(-a^4/b)^(1/4))/a^4) - 3*(-a^4/b)^(1/4)*x^5*log(27*(a*x^5 - b)^(1/4)*a^3 + 27*(-a^4/b)^(3/4)*b) + 3*(-a^4/b)^(1/4)*x^5*log(27*(a*x^5 - b)^(1/4)*a^3 - 27*(-a^4/b)^(3/4)*b) + 4*(a*x^5 - b)^(3/4))/x^5","A",0
2077,1,201,0,0.467403," ","integrate((a*x^6-b)^(3/4)/x^7,x, algorithm=""fricas"")","-\frac{12 \, \left(-\frac{a^{4}}{b}\right)^{\frac{1}{4}} x^{6} \arctan\left(-\frac{{\left(a x^{6} - b\right)}^{\frac{1}{4}} \left(-\frac{a^{4}}{b}\right)^{\frac{1}{4}} a^{3} - \sqrt{\sqrt{a x^{6} - b} a^{6} - \sqrt{-\frac{a^{4}}{b}} a^{4} b} \left(-\frac{a^{4}}{b}\right)^{\frac{1}{4}}}{a^{4}}\right) - 3 \, \left(-\frac{a^{4}}{b}\right)^{\frac{1}{4}} x^{6} \log\left({\left(a x^{6} - b\right)}^{\frac{1}{4}} a^{3} + \left(-\frac{a^{4}}{b}\right)^{\frac{3}{4}} b\right) + 3 \, \left(-\frac{a^{4}}{b}\right)^{\frac{1}{4}} x^{6} \log\left({\left(a x^{6} - b\right)}^{\frac{1}{4}} a^{3} - \left(-\frac{a^{4}}{b}\right)^{\frac{3}{4}} b\right) + 4 \, {\left(a x^{6} - b\right)}^{\frac{3}{4}}}{24 \, x^{6}}"," ",0,"-1/24*(12*(-a^4/b)^(1/4)*x^6*arctan(-((a*x^6 - b)^(1/4)*(-a^4/b)^(1/4)*a^3 - sqrt(sqrt(a*x^6 - b)*a^6 - sqrt(-a^4/b)*a^4*b)*(-a^4/b)^(1/4))/a^4) - 3*(-a^4/b)^(1/4)*x^6*log((a*x^6 - b)^(1/4)*a^3 + (-a^4/b)^(3/4)*b) + 3*(-a^4/b)^(1/4)*x^6*log((a*x^6 - b)^(1/4)*a^3 - (-a^4/b)^(3/4)*b) + 4*(a*x^6 - b)^(3/4))/x^6","A",0
2078,1,390,0,8.163427," ","integrate((5*x^7-4)*(-x^8+2*x^3-2*x)^(1/3)/(x^7+2)/(x^7-2*x^2+2),x, algorithm=""fricas"")","\frac{1}{6} \cdot 4^{\frac{1}{6}} \sqrt{3} \left(-1\right)^{\frac{1}{3}} \arctan\left(-\frac{4^{\frac{1}{6}} \sqrt{3} {\left(6 \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{15} - 18 \, x^{10} + 4 \, x^{8} + 36 \, x^{5} - 36 \, x^{3} + 4 \, x\right)} {\left(-x^{8} + 2 \, x^{3} - 2 \, x\right)}^{\frac{1}{3}} - 12 \, \left(-1\right)^{\frac{1}{3}} {\left(x^{14} - 6 \, x^{9} + 4 \, x^{7} - 12 \, x^{2} + 4\right)} {\left(-x^{8} + 2 \, x^{3} - 2 \, x\right)}^{\frac{2}{3}} - 4^{\frac{1}{3}} {\left(x^{21} - 36 \, x^{16} + 6 \, x^{14} + 180 \, x^{11} - 144 \, x^{9} + 12 \, x^{7} - 216 \, x^{6} + 360 \, x^{4} - 144 \, x^{2} + 8\right)}\right)}}{6 \, {\left(x^{21} + 6 \, x^{14} - 108 \, x^{11} + 12 \, x^{7} + 216 \, x^{6} - 216 \, x^{4} + 8\right)}}\right) - \frac{1}{24} \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(-\frac{6 \cdot 4^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(-x^{8} + 2 \, x^{3} - 2 \, x\right)}^{\frac{2}{3}} {\left(x^{7} - 6 \, x^{2} + 2\right)} + 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{14} - 18 \, x^{9} + 4 \, x^{7} + 36 \, x^{4} - 36 \, x^{2} + 4\right)} + 24 \, {\left(x^{8} - 3 \, x^{3} + 2 \, x\right)} {\left(-x^{8} + 2 \, x^{3} - 2 \, x\right)}^{\frac{1}{3}}}{x^{14} + 4 \, x^{7} + 4}\right) + \frac{1}{12} \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(-\frac{3 \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(-x^{8} + 2 \, x^{3} - 2 \, x\right)}^{\frac{1}{3}} x + 4^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{7} + 2\right)} + 6 \, {\left(-x^{8} + 2 \, x^{3} - 2 \, x\right)}^{\frac{2}{3}}}{x^{7} + 2}\right)"," ",0,"1/6*4^(1/6)*sqrt(3)*(-1)^(1/3)*arctan(-1/6*4^(1/6)*sqrt(3)*(6*4^(2/3)*(-1)^(2/3)*(x^15 - 18*x^10 + 4*x^8 + 36*x^5 - 36*x^3 + 4*x)*(-x^8 + 2*x^3 - 2*x)^(1/3) - 12*(-1)^(1/3)*(x^14 - 6*x^9 + 4*x^7 - 12*x^2 + 4)*(-x^8 + 2*x^3 - 2*x)^(2/3) - 4^(1/3)*(x^21 - 36*x^16 + 6*x^14 + 180*x^11 - 144*x^9 + 12*x^7 - 216*x^6 + 360*x^4 - 144*x^2 + 8))/(x^21 + 6*x^14 - 108*x^11 + 12*x^7 + 216*x^6 - 216*x^4 + 8)) - 1/24*4^(2/3)*(-1)^(1/3)*log(-(6*4^(1/3)*(-1)^(2/3)*(-x^8 + 2*x^3 - 2*x)^(2/3)*(x^7 - 6*x^2 + 2) + 4^(2/3)*(-1)^(1/3)*(x^14 - 18*x^9 + 4*x^7 + 36*x^4 - 36*x^2 + 4) + 24*(x^8 - 3*x^3 + 2*x)*(-x^8 + 2*x^3 - 2*x)^(1/3))/(x^14 + 4*x^7 + 4)) + 1/12*4^(2/3)*(-1)^(1/3)*log(-(3*4^(2/3)*(-1)^(1/3)*(-x^8 + 2*x^3 - 2*x)^(1/3)*x + 4^(1/3)*(-1)^(2/3)*(x^7 + 2) + 6*(-x^8 + 2*x^3 - 2*x)^(2/3))/(x^7 + 2))","B",0
2079,1,4325,0,1.414642," ","integrate((2*x^8-2*a*x^4+b)/(a*x^4+b)^(1/4)/(x^8-a*x^4-2*b),x, algorithm=""fricas"")","\frac{5}{2} \, \left(\frac{a^{5} + 9 \, a^{3} b + 14 \, a b^{2} - {\left(a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}}}{a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(\sqrt{\frac{1}{2}} {\left({\left(a^{7} + 15 \, a^{5} b + 48 \, a^{3} b^{2} - 64 \, a b^{3}\right)} x \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}} + {\left(a^{6} + 13 \, a^{4} b + 42 \, a^{2} b^{2} + 16 \, b^{3}\right)} x\right)} \sqrt{\frac{8 \, {\left(a^{8} b^{6} + 10 \, a^{6} b^{7} + 29 \, a^{4} b^{8} + 20 \, a^{2} b^{9} + 4 \, b^{10}\right)} \sqrt{a x^{4} + b} + {\left({\left(a^{14} b^{4} + 29 \, a^{12} b^{5} + 313 \, a^{10} b^{6} + 1491 \, a^{8} b^{7} + 2630 \, a^{6} b^{8} - 496 \, a^{4} b^{9} - 2944 \, a^{2} b^{10} - 1024 \, b^{11}\right)} x^{2} \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}} + {\left(a^{13} b^{4} + 23 \, a^{11} b^{5} + 199 \, a^{9} b^{6} + 797 \, a^{7} b^{7} + 1424 \, a^{5} b^{8} + 852 \, a^{3} b^{9} + 160 \, a b^{10}\right)} x^{2}\right)} \sqrt{\frac{a^{5} + 9 \, a^{3} b + 14 \, a b^{2} - {\left(a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}}}{a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{x^{2}}} - 2 \, {\left(a^{10} b^{3} + 18 \, a^{8} b^{4} + 109 \, a^{6} b^{5} + 252 \, a^{4} b^{6} + 164 \, a^{2} b^{7} + 32 \, b^{8} + {\left(a^{11} b^{3} + 20 \, a^{9} b^{4} + 125 \, a^{7} b^{5} + 206 \, a^{5} b^{6} - 224 \, a^{3} b^{7} - 128 \, a b^{8}\right)} \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}\right)} \left(\frac{a^{5} + 9 \, a^{3} b + 14 \, a b^{2} - {\left(a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}}}{a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}\right)^{\frac{1}{4}}}{8 \, {\left(a^{8} b^{4} + 10 \, a^{6} b^{5} + 29 \, a^{4} b^{6} + 20 \, a^{2} b^{7} + 4 \, b^{8}\right)} x}\right) - \frac{5}{2} \, \left(\frac{a^{5} + 9 \, a^{3} b + 14 \, a b^{2} + {\left(a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}}}{a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(a^{7} + 15 \, a^{5} b + 48 \, a^{3} b^{2} - 64 \, a b^{3}\right)} x \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}} - {\left(a^{6} + 13 \, a^{4} b + 42 \, a^{2} b^{2} + 16 \, b^{3}\right)} x\right)} \left(\frac{a^{5} + 9 \, a^{3} b + 14 \, a b^{2} + {\left(a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}}}{a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}\right)^{\frac{1}{4}} \sqrt{\frac{8 \, {\left(a^{8} b^{6} + 10 \, a^{6} b^{7} + 29 \, a^{4} b^{8} + 20 \, a^{2} b^{9} + 4 \, b^{10}\right)} \sqrt{a x^{4} + b} - {\left({\left(a^{14} b^{4} + 29 \, a^{12} b^{5} + 313 \, a^{10} b^{6} + 1491 \, a^{8} b^{7} + 2630 \, a^{6} b^{8} - 496 \, a^{4} b^{9} - 2944 \, a^{2} b^{10} - 1024 \, b^{11}\right)} x^{2} \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}} - {\left(a^{13} b^{4} + 23 \, a^{11} b^{5} + 199 \, a^{9} b^{6} + 797 \, a^{7} b^{7} + 1424 \, a^{5} b^{8} + 852 \, a^{3} b^{9} + 160 \, a b^{10}\right)} x^{2}\right)} \sqrt{\frac{a^{5} + 9 \, a^{3} b + 14 \, a b^{2} + {\left(a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}}}{a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}}}{x^{2}}} + 2 \, {\left(a^{10} b^{3} + 18 \, a^{8} b^{4} + 109 \, a^{6} b^{5} + 252 \, a^{4} b^{6} + 164 \, a^{2} b^{7} + 32 \, b^{8} - {\left(a^{11} b^{3} + 20 \, a^{9} b^{4} + 125 \, a^{7} b^{5} + 206 \, a^{5} b^{6} - 224 \, a^{3} b^{7} - 128 \, a b^{8}\right)} \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}} \left(\frac{a^{5} + 9 \, a^{3} b + 14 \, a b^{2} + {\left(a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}}}{a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}\right)^{\frac{1}{4}}}{8 \, {\left(a^{8} b^{4} + 10 \, a^{6} b^{5} + 29 \, a^{4} b^{6} + 20 \, a^{2} b^{7} + 4 \, b^{8}\right)} x}\right) + \frac{5}{8} \, \left(\frac{a^{5} + 9 \, a^{3} b + 14 \, a b^{2} + {\left(a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}}}{a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}\right)^{\frac{1}{4}} \log\left(\frac{78125 \, {\left({\left({\left(a^{12} + 30 \, a^{10} b + 333 \, a^{8} b^{2} + 1588 \, a^{6} b^{3} + 2400 \, a^{4} b^{4} - 2304 \, a^{2} b^{5} - 2048 \, b^{6}\right)} x \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}} - {\left(a^{11} + 24 \, a^{9} b + 209 \, a^{7} b^{2} + 790 \, a^{5} b^{3} + 1184 \, a^{3} b^{4} + 384 \, a b^{5}\right)} x\right)} \left(\frac{a^{5} + 9 \, a^{3} b + 14 \, a b^{2} + {\left(a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}}}{a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}\right)^{\frac{3}{4}} + 16 \, {\left(a^{4} b^{3} + 5 \, a^{2} b^{4} + 2 \, b^{5}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}\right)}}{16 \, x}\right) - \frac{5}{8} \, \left(\frac{a^{5} + 9 \, a^{3} b + 14 \, a b^{2} + {\left(a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}}}{a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}\right)^{\frac{1}{4}} \log\left(-\frac{78125 \, {\left({\left({\left(a^{12} + 30 \, a^{10} b + 333 \, a^{8} b^{2} + 1588 \, a^{6} b^{3} + 2400 \, a^{4} b^{4} - 2304 \, a^{2} b^{5} - 2048 \, b^{6}\right)} x \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}} - {\left(a^{11} + 24 \, a^{9} b + 209 \, a^{7} b^{2} + 790 \, a^{5} b^{3} + 1184 \, a^{3} b^{4} + 384 \, a b^{5}\right)} x\right)} \left(\frac{a^{5} + 9 \, a^{3} b + 14 \, a b^{2} + {\left(a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}}}{a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}\right)^{\frac{3}{4}} - 16 \, {\left(a^{4} b^{3} + 5 \, a^{2} b^{4} + 2 \, b^{5}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}\right)}}{16 \, x}\right) - \frac{5}{8} \, \left(\frac{a^{5} + 9 \, a^{3} b + 14 \, a b^{2} - {\left(a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}}}{a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}\right)^{\frac{1}{4}} \log\left(\frac{78125 \, {\left({\left({\left(a^{12} + 30 \, a^{10} b + 333 \, a^{8} b^{2} + 1588 \, a^{6} b^{3} + 2400 \, a^{4} b^{4} - 2304 \, a^{2} b^{5} - 2048 \, b^{6}\right)} x \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}} + {\left(a^{11} + 24 \, a^{9} b + 209 \, a^{7} b^{2} + 790 \, a^{5} b^{3} + 1184 \, a^{3} b^{4} + 384 \, a b^{5}\right)} x\right)} \left(\frac{a^{5} + 9 \, a^{3} b + 14 \, a b^{2} - {\left(a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}}}{a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}\right)^{\frac{3}{4}} + 16 \, {\left(a^{4} b^{3} + 5 \, a^{2} b^{4} + 2 \, b^{5}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}\right)}}{16 \, x}\right) + \frac{5}{8} \, \left(\frac{a^{5} + 9 \, a^{3} b + 14 \, a b^{2} - {\left(a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}}}{a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}\right)^{\frac{1}{4}} \log\left(-\frac{78125 \, {\left({\left({\left(a^{12} + 30 \, a^{10} b + 333 \, a^{8} b^{2} + 1588 \, a^{6} b^{3} + 2400 \, a^{4} b^{4} - 2304 \, a^{2} b^{5} - 2048 \, b^{6}\right)} x \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}} + {\left(a^{11} + 24 \, a^{9} b + 209 \, a^{7} b^{2} + 790 \, a^{5} b^{3} + 1184 \, a^{3} b^{4} + 384 \, a b^{5}\right)} x\right)} \left(\frac{a^{5} + 9 \, a^{3} b + 14 \, a b^{2} - {\left(a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{a^{8} + 10 \, a^{6} b + 29 \, a^{4} b^{2} + 20 \, a^{2} b^{3} + 4 \, b^{4}}{a^{10} + 22 \, a^{8} b + 145 \, a^{6} b^{2} + 152 \, a^{4} b^{3} - 832 \, a^{2} b^{4} + 512 \, b^{5}}}}{a^{6} + 15 \, a^{4} b + 48 \, a^{2} b^{2} - 64 \, b^{3}}\right)^{\frac{3}{4}} - 16 \, {\left(a^{4} b^{3} + 5 \, a^{2} b^{4} + 2 \, b^{5}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}\right)}}{16 \, x}\right) + \frac{2 \, \arctan\left(\frac{\frac{x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} + b}}{x^{2}}}}{a^{\frac{1}{4}}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}}{x}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}}"," ",0,"5/2*((a^5 + 9*a^3*b + 14*a*b^2 - (a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3)*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)))/(a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3))^(1/4)*arctan(-1/8*(sqrt(1/2)*((a^7 + 15*a^5*b + 48*a^3*b^2 - 64*a*b^3)*x*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)) + (a^6 + 13*a^4*b + 42*a^2*b^2 + 16*b^3)*x)*sqrt((8*(a^8*b^6 + 10*a^6*b^7 + 29*a^4*b^8 + 20*a^2*b^9 + 4*b^10)*sqrt(a*x^4 + b) + ((a^14*b^4 + 29*a^12*b^5 + 313*a^10*b^6 + 1491*a^8*b^7 + 2630*a^6*b^8 - 496*a^4*b^9 - 2944*a^2*b^10 - 1024*b^11)*x^2*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)) + (a^13*b^4 + 23*a^11*b^5 + 199*a^9*b^6 + 797*a^7*b^7 + 1424*a^5*b^8 + 852*a^3*b^9 + 160*a*b^10)*x^2)*sqrt((a^5 + 9*a^3*b + 14*a*b^2 - (a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3)*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)))/(a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3)))/x^2) - 2*(a^10*b^3 + 18*a^8*b^4 + 109*a^6*b^5 + 252*a^4*b^6 + 164*a^2*b^7 + 32*b^8 + (a^11*b^3 + 20*a^9*b^4 + 125*a^7*b^5 + 206*a^5*b^6 - 224*a^3*b^7 - 128*a*b^8)*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)))*(a*x^4 + b)^(1/4))*((a^5 + 9*a^3*b + 14*a*b^2 - (a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3)*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)))/(a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3))^(1/4)/((a^8*b^4 + 10*a^6*b^5 + 29*a^4*b^6 + 20*a^2*b^7 + 4*b^8)*x)) - 5/2*((a^5 + 9*a^3*b + 14*a*b^2 + (a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3)*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)))/(a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3))^(1/4)*arctan(-1/8*(sqrt(1/2)*((a^7 + 15*a^5*b + 48*a^3*b^2 - 64*a*b^3)*x*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)) - (a^6 + 13*a^4*b + 42*a^2*b^2 + 16*b^3)*x)*((a^5 + 9*a^3*b + 14*a*b^2 + (a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3)*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)))/(a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3))^(1/4)*sqrt((8*(a^8*b^6 + 10*a^6*b^7 + 29*a^4*b^8 + 20*a^2*b^9 + 4*b^10)*sqrt(a*x^4 + b) - ((a^14*b^4 + 29*a^12*b^5 + 313*a^10*b^6 + 1491*a^8*b^7 + 2630*a^6*b^8 - 496*a^4*b^9 - 2944*a^2*b^10 - 1024*b^11)*x^2*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)) - (a^13*b^4 + 23*a^11*b^5 + 199*a^9*b^6 + 797*a^7*b^7 + 1424*a^5*b^8 + 852*a^3*b^9 + 160*a*b^10)*x^2)*sqrt((a^5 + 9*a^3*b + 14*a*b^2 + (a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3)*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)))/(a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3)))/x^2) + 2*(a^10*b^3 + 18*a^8*b^4 + 109*a^6*b^5 + 252*a^4*b^6 + 164*a^2*b^7 + 32*b^8 - (a^11*b^3 + 20*a^9*b^4 + 125*a^7*b^5 + 206*a^5*b^6 - 224*a^3*b^7 - 128*a*b^8)*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)))*(a*x^4 + b)^(1/4)*((a^5 + 9*a^3*b + 14*a*b^2 + (a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3)*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)))/(a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3))^(1/4))/((a^8*b^4 + 10*a^6*b^5 + 29*a^4*b^6 + 20*a^2*b^7 + 4*b^8)*x)) + 5/8*((a^5 + 9*a^3*b + 14*a*b^2 + (a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3)*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)))/(a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3))^(1/4)*log(78125/16*(((a^12 + 30*a^10*b + 333*a^8*b^2 + 1588*a^6*b^3 + 2400*a^4*b^4 - 2304*a^2*b^5 - 2048*b^6)*x*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)) - (a^11 + 24*a^9*b + 209*a^7*b^2 + 790*a^5*b^3 + 1184*a^3*b^4 + 384*a*b^5)*x)*((a^5 + 9*a^3*b + 14*a*b^2 + (a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3)*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)))/(a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3))^(3/4) + 16*(a^4*b^3 + 5*a^2*b^4 + 2*b^5)*(a*x^4 + b)^(1/4))/x) - 5/8*((a^5 + 9*a^3*b + 14*a*b^2 + (a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3)*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)))/(a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3))^(1/4)*log(-78125/16*(((a^12 + 30*a^10*b + 333*a^8*b^2 + 1588*a^6*b^3 + 2400*a^4*b^4 - 2304*a^2*b^5 - 2048*b^6)*x*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)) - (a^11 + 24*a^9*b + 209*a^7*b^2 + 790*a^5*b^3 + 1184*a^3*b^4 + 384*a*b^5)*x)*((a^5 + 9*a^3*b + 14*a*b^2 + (a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3)*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)))/(a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3))^(3/4) - 16*(a^4*b^3 + 5*a^2*b^4 + 2*b^5)*(a*x^4 + b)^(1/4))/x) - 5/8*((a^5 + 9*a^3*b + 14*a*b^2 - (a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3)*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)))/(a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3))^(1/4)*log(78125/16*(((a^12 + 30*a^10*b + 333*a^8*b^2 + 1588*a^6*b^3 + 2400*a^4*b^4 - 2304*a^2*b^5 - 2048*b^6)*x*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)) + (a^11 + 24*a^9*b + 209*a^7*b^2 + 790*a^5*b^3 + 1184*a^3*b^4 + 384*a*b^5)*x)*((a^5 + 9*a^3*b + 14*a*b^2 - (a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3)*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)))/(a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3))^(3/4) + 16*(a^4*b^3 + 5*a^2*b^4 + 2*b^5)*(a*x^4 + b)^(1/4))/x) + 5/8*((a^5 + 9*a^3*b + 14*a*b^2 - (a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3)*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)))/(a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3))^(1/4)*log(-78125/16*(((a^12 + 30*a^10*b + 333*a^8*b^2 + 1588*a^6*b^3 + 2400*a^4*b^4 - 2304*a^2*b^5 - 2048*b^6)*x*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)) + (a^11 + 24*a^9*b + 209*a^7*b^2 + 790*a^5*b^3 + 1184*a^3*b^4 + 384*a*b^5)*x)*((a^5 + 9*a^3*b + 14*a*b^2 - (a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3)*sqrt((a^8 + 10*a^6*b + 29*a^4*b^2 + 20*a^2*b^3 + 4*b^4)/(a^10 + 22*a^8*b + 145*a^6*b^2 + 152*a^4*b^3 - 832*a^2*b^4 + 512*b^5)))/(a^6 + 15*a^4*b + 48*a^2*b^2 - 64*b^3))^(3/4) - 16*(a^4*b^3 + 5*a^2*b^4 + 2*b^5)*(a*x^4 + b)^(1/4))/x) + 2*arctan((x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 + b))/x^2)/a^(1/4) - (a*x^4 + b)^(1/4)/a^(1/4))/x)/a^(1/4) + 1/2*log((a^(1/4)*x + (a*x^4 + b)^(1/4))/x)/a^(1/4) - 1/2*log(-(a^(1/4)*x - (a*x^4 + b)^(1/4))/x)/a^(1/4)","B",0
2080,1,5047,0,1.326884," ","integrate((2*x^8+2*a*x^4-b)/(a*x^4+b)^(1/4)/(x^8+a*x^4-b),x, algorithm=""fricas"")","-\sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \arctan\left(-\frac{{\left(\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{7} + 15 \, a^{5} b + 24 \, a^{3} b^{2} - 16 \, a b^{3}\right)} x \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} + {\left(a^{6} + 5 \, a^{4} b + 3 \, a^{2} b^{2} - 4 \, b^{3}\right)} x\right)} \sqrt{\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{14} b^{4} + 23 \, a^{12} b^{5} + 80 \, a^{10} b^{6} + 36 \, a^{8} b^{7} - 209 \, a^{6} b^{8} - 76 \, a^{4} b^{9} + 208 \, a^{2} b^{10} - 64 \, b^{11}\right)} x^{2} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} + {\left(a^{13} b^{4} + 7 \, a^{11} b^{5} + 13 \, a^{9} b^{6} + a^{7} b^{7} - 13 \, a^{5} b^{8} - 3 \, a^{3} b^{9} + 4 \, a b^{10}\right)} x^{2}\right)} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}} + 2 \, {\left(a^{8} b^{6} + 2 \, a^{6} b^{7} - a^{4} b^{8} - 2 \, a^{2} b^{9} + b^{10}\right)} \sqrt{a x^{4} + b}}{x^{2}}} + {\left(a^{10} b^{3} + 6 \, a^{8} b^{4} + 7 \, a^{6} b^{5} - 6 \, a^{4} b^{6} - 7 \, a^{2} b^{7} + 4 \, b^{8} + {\left(2 \, a^{11} b^{3} + 17 \, a^{9} b^{4} + 37 \, a^{7} b^{5} - 7 \, a^{5} b^{6} - 40 \, a^{3} b^{7} + 16 \, a b^{8}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}}}{2 \, {\left(a^{8} b^{4} + 2 \, a^{6} b^{5} - a^{4} b^{6} - 2 \, a^{2} b^{7} + b^{8}\right)} x}\right) + \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \arctan\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{7} + 15 \, a^{5} b + 24 \, a^{3} b^{2} - 16 \, a b^{3}\right)} x \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} - {\left(a^{6} + 5 \, a^{4} b + 3 \, a^{2} b^{2} - 4 \, b^{3}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \sqrt{-\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{14} b^{4} + 23 \, a^{12} b^{5} + 80 \, a^{10} b^{6} + 36 \, a^{8} b^{7} - 209 \, a^{6} b^{8} - 76 \, a^{4} b^{9} + 208 \, a^{2} b^{10} - 64 \, b^{11}\right)} x^{2} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} - {\left(a^{13} b^{4} + 7 \, a^{11} b^{5} + 13 \, a^{9} b^{6} + a^{7} b^{7} - 13 \, a^{5} b^{8} - 3 \, a^{3} b^{9} + 4 \, a b^{10}\right)} x^{2}\right)} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}} - 2 \, {\left(a^{8} b^{6} + 2 \, a^{6} b^{7} - a^{4} b^{8} - 2 \, a^{2} b^{9} + b^{10}\right)} \sqrt{a x^{4} + b}}{x^{2}}} - {\left(a^{10} b^{3} + 6 \, a^{8} b^{4} + 7 \, a^{6} b^{5} - 6 \, a^{4} b^{6} - 7 \, a^{2} b^{7} + 4 \, b^{8} - {\left(2 \, a^{11} b^{3} + 17 \, a^{9} b^{4} + 37 \, a^{7} b^{5} - 7 \, a^{5} b^{6} - 40 \, a^{3} b^{7} + 16 \, a b^{8}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}}}{2 \, {\left(a^{8} b^{4} + 2 \, a^{6} b^{5} - a^{4} b^{6} - 2 \, a^{2} b^{7} + b^{8}\right)} x}\right) + \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \log\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{12} + 27 \, a^{10} b + 126 \, a^{8} b^{2} + 202 \, a^{6} b^{3} - 72 \, a^{4} b^{4} - 288 \, a^{2} b^{5} + 128 \, b^{6}\right)} x \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} - {\left(a^{11} + 9 \, a^{9} b + 23 \, a^{7} b^{2} + 8 \, a^{5} b^{3} - 16 \, a^{3} b^{4}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}} + 2 \, {\left(a^{4} b^{3} + a^{2} b^{4} - b^{5}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{2 \, x}\right) - \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \log\left(\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{12} + 27 \, a^{10} b + 126 \, a^{8} b^{2} + 202 \, a^{6} b^{3} - 72 \, a^{4} b^{4} - 288 \, a^{2} b^{5} + 128 \, b^{6}\right)} x \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} - {\left(a^{11} + 9 \, a^{9} b + 23 \, a^{7} b^{2} + 8 \, a^{5} b^{3} - 16 \, a^{3} b^{4}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}} - 2 \, {\left(a^{4} b^{3} + a^{2} b^{4} - b^{5}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{2 \, x}\right) - \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \log\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{12} + 27 \, a^{10} b + 126 \, a^{8} b^{2} + 202 \, a^{6} b^{3} - 72 \, a^{4} b^{4} - 288 \, a^{2} b^{5} + 128 \, b^{6}\right)} x \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} + {\left(a^{11} + 9 \, a^{9} b + 23 \, a^{7} b^{2} + 8 \, a^{5} b^{3} - 16 \, a^{3} b^{4}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}} + 2 \, {\left(a^{4} b^{3} + a^{2} b^{4} - b^{5}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{2 \, x}\right) + \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \log\left(\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{12} + 27 \, a^{10} b + 126 \, a^{8} b^{2} + 202 \, a^{6} b^{3} - 72 \, a^{4} b^{4} - 288 \, a^{2} b^{5} + 128 \, b^{6}\right)} x \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} + {\left(a^{11} + 9 \, a^{9} b + 23 \, a^{7} b^{2} + 8 \, a^{5} b^{3} - 16 \, a^{3} b^{4}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}} - 2 \, {\left(a^{4} b^{3} + a^{2} b^{4} - b^{5}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{2 \, x}\right) + \frac{2 \, \arctan\left(\frac{\frac{x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} + b}}{x^{2}}}}{a^{\frac{1}{4}}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}}{x}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}}"," ",0,"-sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*arctan(-1/2*(sqrt(1/2)*((2*a^7 + 15*a^5*b + 24*a^3*b^2 - 16*a*b^3)*x*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) + (a^6 + 5*a^4*b + 3*a^2*b^2 - 4*b^3)*x)*sqrt((sqrt(1/2)*((2*a^14*b^4 + 23*a^12*b^5 + 80*a^10*b^6 + 36*a^8*b^7 - 209*a^6*b^8 - 76*a^4*b^9 + 208*a^2*b^10 - 64*b^11)*x^2*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) + (a^13*b^4 + 7*a^11*b^5 + 13*a^9*b^6 + a^7*b^7 - 13*a^5*b^8 - 3*a^3*b^9 + 4*a*b^10)*x^2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)) + 2*(a^8*b^6 + 2*a^6*b^7 - a^4*b^8 - 2*a^2*b^9 + b^10)*sqrt(a*x^4 + b))/x^2) + (a^10*b^3 + 6*a^8*b^4 + 7*a^6*b^5 - 6*a^4*b^6 - 7*a^2*b^7 + 4*b^8 + (2*a^11*b^3 + 17*a^9*b^4 + 37*a^7*b^5 - 7*a^5*b^6 - 40*a^3*b^7 + 16*a*b^8)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))*(a*x^4 + b)^(1/4))*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))/((a^8*b^4 + 2*a^6*b^5 - a^4*b^6 - 2*a^2*b^7 + b^8)*x)) + sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*arctan(-1/2*(sqrt(1/2)*((2*a^7 + 15*a^5*b + 24*a^3*b^2 - 16*a*b^3)*x*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) - (a^6 + 5*a^4*b + 3*a^2*b^2 - 4*b^3)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*sqrt(-(sqrt(1/2)*((2*a^14*b^4 + 23*a^12*b^5 + 80*a^10*b^6 + 36*a^8*b^7 - 209*a^6*b^8 - 76*a^4*b^9 + 208*a^2*b^10 - 64*b^11)*x^2*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) - (a^13*b^4 + 7*a^11*b^5 + 13*a^9*b^6 + a^7*b^7 - 13*a^5*b^8 - 3*a^3*b^9 + 4*a*b^10)*x^2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)) - 2*(a^8*b^6 + 2*a^6*b^7 - a^4*b^8 - 2*a^2*b^9 + b^10)*sqrt(a*x^4 + b))/x^2) - (a^10*b^3 + 6*a^8*b^4 + 7*a^6*b^5 - 6*a^4*b^6 - 7*a^2*b^7 + 4*b^8 - (2*a^11*b^3 + 17*a^9*b^4 + 37*a^7*b^5 - 7*a^5*b^6 - 40*a^3*b^7 + 16*a*b^8)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))*(a*x^4 + b)^(1/4)*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3))))/((a^8*b^4 + 2*a^6*b^5 - a^4*b^6 - 2*a^2*b^7 + b^8)*x)) + 1/4*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*log(-1/2*(sqrt(1/2)*((2*a^12 + 27*a^10*b + 126*a^8*b^2 + 202*a^6*b^3 - 72*a^4*b^4 - 288*a^2*b^5 + 128*b^6)*x*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) - (a^11 + 9*a^9*b + 23*a^7*b^2 + 8*a^5*b^3 - 16*a^3*b^4)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)) + 2*(a^4*b^3 + a^2*b^4 - b^5)*(a*x^4 + b)^(1/4))/x) - 1/4*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*log(1/2*(sqrt(1/2)*((2*a^12 + 27*a^10*b + 126*a^8*b^2 + 202*a^6*b^3 - 72*a^4*b^4 - 288*a^2*b^5 + 128*b^6)*x*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) - (a^11 + 9*a^9*b + 23*a^7*b^2 + 8*a^5*b^3 - 16*a^3*b^4)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)) - 2*(a^4*b^3 + a^2*b^4 - b^5)*(a*x^4 + b)^(1/4))/x) - 1/4*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*log(-1/2*(sqrt(1/2)*((2*a^12 + 27*a^10*b + 126*a^8*b^2 + 202*a^6*b^3 - 72*a^4*b^4 - 288*a^2*b^5 + 128*b^6)*x*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) + (a^11 + 9*a^9*b + 23*a^7*b^2 + 8*a^5*b^3 - 16*a^3*b^4)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)) + 2*(a^4*b^3 + a^2*b^4 - b^5)*(a*x^4 + b)^(1/4))/x) + 1/4*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*log(1/2*(sqrt(1/2)*((2*a^12 + 27*a^10*b + 126*a^8*b^2 + 202*a^6*b^3 - 72*a^4*b^4 - 288*a^2*b^5 + 128*b^6)*x*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) + (a^11 + 9*a^9*b + 23*a^7*b^2 + 8*a^5*b^3 - 16*a^3*b^4)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)) - 2*(a^4*b^3 + a^2*b^4 - b^5)*(a*x^4 + b)^(1/4))/x) + 2*arctan((x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 + b))/x^2)/a^(1/4) - (a*x^4 + b)^(1/4)/a^(1/4))/x)/a^(1/4) + 1/2*log((a^(1/4)*x + (a*x^4 + b)^(1/4))/x)/a^(1/4) - 1/2*log(-(a^(1/4)*x - (a*x^4 + b)^(1/4))/x)/a^(1/4)","B",0
2081,1,5047,0,1.306547," ","integrate((2*x^8+2*a*x^4-b)/(a*x^4+b)^(1/4)/(x^8+a*x^4-b),x, algorithm=""fricas"")","-\sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \arctan\left(-\frac{{\left(\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{7} + 15 \, a^{5} b + 24 \, a^{3} b^{2} - 16 \, a b^{3}\right)} x \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} + {\left(a^{6} + 5 \, a^{4} b + 3 \, a^{2} b^{2} - 4 \, b^{3}\right)} x\right)} \sqrt{\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{14} b^{4} + 23 \, a^{12} b^{5} + 80 \, a^{10} b^{6} + 36 \, a^{8} b^{7} - 209 \, a^{6} b^{8} - 76 \, a^{4} b^{9} + 208 \, a^{2} b^{10} - 64 \, b^{11}\right)} x^{2} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} + {\left(a^{13} b^{4} + 7 \, a^{11} b^{5} + 13 \, a^{9} b^{6} + a^{7} b^{7} - 13 \, a^{5} b^{8} - 3 \, a^{3} b^{9} + 4 \, a b^{10}\right)} x^{2}\right)} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}} + 2 \, {\left(a^{8} b^{6} + 2 \, a^{6} b^{7} - a^{4} b^{8} - 2 \, a^{2} b^{9} + b^{10}\right)} \sqrt{a x^{4} + b}}{x^{2}}} + {\left(a^{10} b^{3} + 6 \, a^{8} b^{4} + 7 \, a^{6} b^{5} - 6 \, a^{4} b^{6} - 7 \, a^{2} b^{7} + 4 \, b^{8} + {\left(2 \, a^{11} b^{3} + 17 \, a^{9} b^{4} + 37 \, a^{7} b^{5} - 7 \, a^{5} b^{6} - 40 \, a^{3} b^{7} + 16 \, a b^{8}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}}}{2 \, {\left(a^{8} b^{4} + 2 \, a^{6} b^{5} - a^{4} b^{6} - 2 \, a^{2} b^{7} + b^{8}\right)} x}\right) + \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \arctan\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{7} + 15 \, a^{5} b + 24 \, a^{3} b^{2} - 16 \, a b^{3}\right)} x \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} - {\left(a^{6} + 5 \, a^{4} b + 3 \, a^{2} b^{2} - 4 \, b^{3}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \sqrt{-\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{14} b^{4} + 23 \, a^{12} b^{5} + 80 \, a^{10} b^{6} + 36 \, a^{8} b^{7} - 209 \, a^{6} b^{8} - 76 \, a^{4} b^{9} + 208 \, a^{2} b^{10} - 64 \, b^{11}\right)} x^{2} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} - {\left(a^{13} b^{4} + 7 \, a^{11} b^{5} + 13 \, a^{9} b^{6} + a^{7} b^{7} - 13 \, a^{5} b^{8} - 3 \, a^{3} b^{9} + 4 \, a b^{10}\right)} x^{2}\right)} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}} - 2 \, {\left(a^{8} b^{6} + 2 \, a^{6} b^{7} - a^{4} b^{8} - 2 \, a^{2} b^{9} + b^{10}\right)} \sqrt{a x^{4} + b}}{x^{2}}} - {\left(a^{10} b^{3} + 6 \, a^{8} b^{4} + 7 \, a^{6} b^{5} - 6 \, a^{4} b^{6} - 7 \, a^{2} b^{7} + 4 \, b^{8} - {\left(2 \, a^{11} b^{3} + 17 \, a^{9} b^{4} + 37 \, a^{7} b^{5} - 7 \, a^{5} b^{6} - 40 \, a^{3} b^{7} + 16 \, a b^{8}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}}}{2 \, {\left(a^{8} b^{4} + 2 \, a^{6} b^{5} - a^{4} b^{6} - 2 \, a^{2} b^{7} + b^{8}\right)} x}\right) + \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \log\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{12} + 27 \, a^{10} b + 126 \, a^{8} b^{2} + 202 \, a^{6} b^{3} - 72 \, a^{4} b^{4} - 288 \, a^{2} b^{5} + 128 \, b^{6}\right)} x \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} - {\left(a^{11} + 9 \, a^{9} b + 23 \, a^{7} b^{2} + 8 \, a^{5} b^{3} - 16 \, a^{3} b^{4}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}} + 2 \, {\left(a^{4} b^{3} + a^{2} b^{4} - b^{5}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{2 \, x}\right) - \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \log\left(\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{12} + 27 \, a^{10} b + 126 \, a^{8} b^{2} + 202 \, a^{6} b^{3} - 72 \, a^{4} b^{4} - 288 \, a^{2} b^{5} + 128 \, b^{6}\right)} x \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} - {\left(a^{11} + 9 \, a^{9} b + 23 \, a^{7} b^{2} + 8 \, a^{5} b^{3} - 16 \, a^{3} b^{4}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}} - 2 \, {\left(a^{4} b^{3} + a^{2} b^{4} - b^{5}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{2 \, x}\right) - \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \log\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{12} + 27 \, a^{10} b + 126 \, a^{8} b^{2} + 202 \, a^{6} b^{3} - 72 \, a^{4} b^{4} - 288 \, a^{2} b^{5} + 128 \, b^{6}\right)} x \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} + {\left(a^{11} + 9 \, a^{9} b + 23 \, a^{7} b^{2} + 8 \, a^{5} b^{3} - 16 \, a^{3} b^{4}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}} + 2 \, {\left(a^{4} b^{3} + a^{2} b^{4} - b^{5}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{2 \, x}\right) + \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \log\left(\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{12} + 27 \, a^{10} b + 126 \, a^{8} b^{2} + 202 \, a^{6} b^{3} - 72 \, a^{4} b^{4} - 288 \, a^{2} b^{5} + 128 \, b^{6}\right)} x \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} + {\left(a^{11} + 9 \, a^{9} b + 23 \, a^{7} b^{2} + 8 \, a^{5} b^{3} - 16 \, a^{3} b^{4}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}} - 2 \, {\left(a^{4} b^{3} + a^{2} b^{4} - b^{5}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{2 \, x}\right) + \frac{2 \, \arctan\left(\frac{\frac{x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} + b}}{x^{2}}}}{a^{\frac{1}{4}}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}}{x}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}}"," ",0,"-sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*arctan(-1/2*(sqrt(1/2)*((2*a^7 + 15*a^5*b + 24*a^3*b^2 - 16*a*b^3)*x*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) + (a^6 + 5*a^4*b + 3*a^2*b^2 - 4*b^3)*x)*sqrt((sqrt(1/2)*((2*a^14*b^4 + 23*a^12*b^5 + 80*a^10*b^6 + 36*a^8*b^7 - 209*a^6*b^8 - 76*a^4*b^9 + 208*a^2*b^10 - 64*b^11)*x^2*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) + (a^13*b^4 + 7*a^11*b^5 + 13*a^9*b^6 + a^7*b^7 - 13*a^5*b^8 - 3*a^3*b^9 + 4*a*b^10)*x^2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)) + 2*(a^8*b^6 + 2*a^6*b^7 - a^4*b^8 - 2*a^2*b^9 + b^10)*sqrt(a*x^4 + b))/x^2) + (a^10*b^3 + 6*a^8*b^4 + 7*a^6*b^5 - 6*a^4*b^6 - 7*a^2*b^7 + 4*b^8 + (2*a^11*b^3 + 17*a^9*b^4 + 37*a^7*b^5 - 7*a^5*b^6 - 40*a^3*b^7 + 16*a*b^8)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))*(a*x^4 + b)^(1/4))*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))/((a^8*b^4 + 2*a^6*b^5 - a^4*b^6 - 2*a^2*b^7 + b^8)*x)) + sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*arctan(-1/2*(sqrt(1/2)*((2*a^7 + 15*a^5*b + 24*a^3*b^2 - 16*a*b^3)*x*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) - (a^6 + 5*a^4*b + 3*a^2*b^2 - 4*b^3)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*sqrt(-(sqrt(1/2)*((2*a^14*b^4 + 23*a^12*b^5 + 80*a^10*b^6 + 36*a^8*b^7 - 209*a^6*b^8 - 76*a^4*b^9 + 208*a^2*b^10 - 64*b^11)*x^2*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) - (a^13*b^4 + 7*a^11*b^5 + 13*a^9*b^6 + a^7*b^7 - 13*a^5*b^8 - 3*a^3*b^9 + 4*a*b^10)*x^2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)) - 2*(a^8*b^6 + 2*a^6*b^7 - a^4*b^8 - 2*a^2*b^9 + b^10)*sqrt(a*x^4 + b))/x^2) - (a^10*b^3 + 6*a^8*b^4 + 7*a^6*b^5 - 6*a^4*b^6 - 7*a^2*b^7 + 4*b^8 - (2*a^11*b^3 + 17*a^9*b^4 + 37*a^7*b^5 - 7*a^5*b^6 - 40*a^3*b^7 + 16*a*b^8)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))*(a*x^4 + b)^(1/4)*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3))))/((a^8*b^4 + 2*a^6*b^5 - a^4*b^6 - 2*a^2*b^7 + b^8)*x)) + 1/4*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*log(-1/2*(sqrt(1/2)*((2*a^12 + 27*a^10*b + 126*a^8*b^2 + 202*a^6*b^3 - 72*a^4*b^4 - 288*a^2*b^5 + 128*b^6)*x*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) - (a^11 + 9*a^9*b + 23*a^7*b^2 + 8*a^5*b^3 - 16*a^3*b^4)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)) + 2*(a^4*b^3 + a^2*b^4 - b^5)*(a*x^4 + b)^(1/4))/x) - 1/4*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*log(1/2*(sqrt(1/2)*((2*a^12 + 27*a^10*b + 126*a^8*b^2 + 202*a^6*b^3 - 72*a^4*b^4 - 288*a^2*b^5 + 128*b^6)*x*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) - (a^11 + 9*a^9*b + 23*a^7*b^2 + 8*a^5*b^3 - 16*a^3*b^4)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)) - 2*(a^4*b^3 + a^2*b^4 - b^5)*(a*x^4 + b)^(1/4))/x) - 1/4*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*log(-1/2*(sqrt(1/2)*((2*a^12 + 27*a^10*b + 126*a^8*b^2 + 202*a^6*b^3 - 72*a^4*b^4 - 288*a^2*b^5 + 128*b^6)*x*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) + (a^11 + 9*a^9*b + 23*a^7*b^2 + 8*a^5*b^3 - 16*a^3*b^4)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)) + 2*(a^4*b^3 + a^2*b^4 - b^5)*(a*x^4 + b)^(1/4))/x) + 1/4*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*log(1/2*(sqrt(1/2)*((2*a^12 + 27*a^10*b + 126*a^8*b^2 + 202*a^6*b^3 - 72*a^4*b^4 - 288*a^2*b^5 + 128*b^6)*x*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) + (a^11 + 9*a^9*b + 23*a^7*b^2 + 8*a^5*b^3 - 16*a^3*b^4)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)) - 2*(a^4*b^3 + a^2*b^4 - b^5)*(a*x^4 + b)^(1/4))/x) + 2*arctan((x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 + b))/x^2)/a^(1/4) - (a*x^4 + b)^(1/4)/a^(1/4))/x)/a^(1/4) + 1/2*log((a^(1/4)*x + (a*x^4 + b)^(1/4))/x)/a^(1/4) - 1/2*log(-(a^(1/4)*x - (a*x^4 + b)^(1/4))/x)/a^(1/4)","B",0
2082,-1,0,0,0.000000," ","integrate((a^4*x^4-b^4)^(1/2)*(a^4*x^4+b^4)/(a^8*x^8+b^8),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2083,-1,0,0,0.000000," ","integrate((a^8*x^8-b^8)/(a^4*x^4-b^4)^(1/2)/(a^8*x^8+b^8),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2084,1,138,0,0.784736," ","integrate(x^3*(x^2+x)^(1/2)/(x^2+x*(x^2+x)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{495495 \, \sqrt{2} x \log\left(\frac{4 \, x^{2} - 2 \, \sqrt{x^{2} + \sqrt{x^{2} + x} x} {\left(\sqrt{2} x + \sqrt{2} \sqrt{x^{2} + x}\right)} + 4 \, \sqrt{x^{2} + x} x + x}{x}\right) + 4 \, {\left(1146880 \, x^{5} + 1387520 \, x^{4} - 18304 \, x^{3} + 37752 \, x^{2} - {\left(1146880 \, x^{4} + 168960 \, x^{3} - 201344 \, x^{2} + 264264 \, x - 495495\right)} \sqrt{x^{2} + x} - 165165 \, x\right)} \sqrt{x^{2} + \sqrt{x^{2} + x} x}}{20643840 \, x}"," ",0,"1/20643840*(495495*sqrt(2)*x*log((4*x^2 - 2*sqrt(x^2 + sqrt(x^2 + x)*x)*(sqrt(2)*x + sqrt(2)*sqrt(x^2 + x)) + 4*sqrt(x^2 + x)*x + x)/x) + 4*(1146880*x^5 + 1387520*x^4 - 18304*x^3 + 37752*x^2 - (1146880*x^4 + 168960*x^3 - 201344*x^2 + 264264*x - 495495)*sqrt(x^2 + x) - 165165*x)*sqrt(x^2 + sqrt(x^2 + x)*x))/x","A",0
2085,1,173,0,0.970758," ","integrate((a*x^2-b)^(3/4)*(2*a*x^2+3*b)/x,x, algorithm=""fricas"")","\frac{2}{7} \, {\left(2 \, a x^{2} + 5 \, b\right)} {\left(a x^{2} - b\right)}^{\frac{3}{4}} + 6 \, \left(-b^{7}\right)^{\frac{1}{4}} \arctan\left(-\frac{\left(-b^{7}\right)^{\frac{1}{4}} {\left(a x^{2} - b\right)}^{\frac{1}{4}} b^{5} - \sqrt{\sqrt{a x^{2} - b} b^{10} - \sqrt{-b^{7}} b^{7}} \left(-b^{7}\right)^{\frac{1}{4}}}{b^{7}}\right) - \frac{3}{2} \, \left(-b^{7}\right)^{\frac{1}{4}} \log\left(27 \, {\left(a x^{2} - b\right)}^{\frac{1}{4}} b^{5} + 27 \, \left(-b^{7}\right)^{\frac{3}{4}}\right) + \frac{3}{2} \, \left(-b^{7}\right)^{\frac{1}{4}} \log\left(27 \, {\left(a x^{2} - b\right)}^{\frac{1}{4}} b^{5} - 27 \, \left(-b^{7}\right)^{\frac{3}{4}}\right)"," ",0,"2/7*(2*a*x^2 + 5*b)*(a*x^2 - b)^(3/4) + 6*(-b^7)^(1/4)*arctan(-((-b^7)^(1/4)*(a*x^2 - b)^(1/4)*b^5 - sqrt(sqrt(a*x^2 - b)*b^10 - sqrt(-b^7)*b^7)*(-b^7)^(1/4))/b^7) - 3/2*(-b^7)^(1/4)*log(27*(a*x^2 - b)^(1/4)*b^5 + 27*(-b^7)^(3/4)) + 3/2*(-b^7)^(1/4)*log(27*(a*x^2 - b)^(1/4)*b^5 - 27*(-b^7)^(3/4))","A",0
2086,1,420,0,16.014832," ","integrate((x^2-6)*(x^3-x^2+2)^(2/3)/x^3/(x^3+x^2-2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} \left(-4\right)^{\frac{1}{3}} x^{2} \arctan\left(\frac{3 \, \sqrt{3} \left(-4\right)^{\frac{2}{3}} {\left(5 \, x^{7} + 4 \, x^{6} - x^{5} - 8 \, x^{4} + 4 \, x^{3} - 4 \, x\right)} {\left(x^{3} - x^{2} + 2\right)}^{\frac{2}{3}} + 6 \, \sqrt{3} \left(-4\right)^{\frac{1}{3}} {\left(19 \, x^{8} - 16 \, x^{7} + x^{6} + 32 \, x^{5} - 4 \, x^{4} + 4 \, x^{2}\right)} {\left(x^{3} - x^{2} + 2\right)}^{\frac{1}{3}} - \sqrt{3} {\left(71 \, x^{9} - 111 \, x^{8} + 33 \, x^{7} + 221 \, x^{6} - 132 \, x^{5} + 6 \, x^{4} + 132 \, x^{3} - 12 \, x^{2} + 8\right)}}{3 \, {\left(109 \, x^{9} - 105 \, x^{8} + 3 \, x^{7} + 211 \, x^{6} - 12 \, x^{5} - 6 \, x^{4} + 12 \, x^{3} + 12 \, x^{2} - 8\right)}}\right) - 2 \, \left(-4\right)^{\frac{1}{3}} x^{2} \log\left(-\frac{3 \, \left(-4\right)^{\frac{2}{3}} {\left(x^{3} - x^{2} + 2\right)}^{\frac{1}{3}} x^{2} - 6 \, {\left(x^{3} - x^{2} + 2\right)}^{\frac{2}{3}} x + \left(-4\right)^{\frac{1}{3}} {\left(x^{3} + x^{2} - 2\right)}}{x^{3} + x^{2} - 2}\right) + \left(-4\right)^{\frac{1}{3}} x^{2} \log\left(-\frac{6 \, \left(-4\right)^{\frac{1}{3}} {\left(5 \, x^{4} - x^{3} + 2 \, x\right)} {\left(x^{3} - x^{2} + 2\right)}^{\frac{2}{3}} - \left(-4\right)^{\frac{2}{3}} {\left(19 \, x^{6} - 16 \, x^{5} + x^{4} + 32 \, x^{3} - 4 \, x^{2} + 4\right)} - 24 \, {\left(2 \, x^{5} - x^{4} + 2 \, x^{2}\right)} {\left(x^{3} - x^{2} + 2\right)}^{\frac{1}{3}}}{x^{6} + 2 \, x^{5} + x^{4} - 4 \, x^{3} - 4 \, x^{2} + 4}\right) + 9 \, {\left(x^{3} - x^{2} + 2\right)}^{\frac{2}{3}}}{6 \, x^{2}}"," ",0,"-1/6*(2*sqrt(3)*(-4)^(1/3)*x^2*arctan(1/3*(3*sqrt(3)*(-4)^(2/3)*(5*x^7 + 4*x^6 - x^5 - 8*x^4 + 4*x^3 - 4*x)*(x^3 - x^2 + 2)^(2/3) + 6*sqrt(3)*(-4)^(1/3)*(19*x^8 - 16*x^7 + x^6 + 32*x^5 - 4*x^4 + 4*x^2)*(x^3 - x^2 + 2)^(1/3) - sqrt(3)*(71*x^9 - 111*x^8 + 33*x^7 + 221*x^6 - 132*x^5 + 6*x^4 + 132*x^3 - 12*x^2 + 8))/(109*x^9 - 105*x^8 + 3*x^7 + 211*x^6 - 12*x^5 - 6*x^4 + 12*x^3 + 12*x^2 - 8)) - 2*(-4)^(1/3)*x^2*log(-(3*(-4)^(2/3)*(x^3 - x^2 + 2)^(1/3)*x^2 - 6*(x^3 - x^2 + 2)^(2/3)*x + (-4)^(1/3)*(x^3 + x^2 - 2))/(x^3 + x^2 - 2)) + (-4)^(1/3)*x^2*log(-(6*(-4)^(1/3)*(5*x^4 - x^3 + 2*x)*(x^3 - x^2 + 2)^(2/3) - (-4)^(2/3)*(19*x^6 - 16*x^5 + x^4 + 32*x^3 - 4*x^2 + 4) - 24*(2*x^5 - x^4 + 2*x^2)*(x^3 - x^2 + 2)^(1/3))/(x^6 + 2*x^5 + x^4 - 4*x^3 - 4*x^2 + 4)) + 9*(x^3 - x^2 + 2)^(2/3))/x^2","B",0
2087,1,338,0,0.478838," ","integrate(x^3*(-4*a+3*x)/(x^2*(-a+x))^(2/3)/(x^4+a*d-d*x),x, algorithm=""fricas"")","\left[\frac{\sqrt{3} d \sqrt{-\frac{1}{d^{\frac{2}{3}}}} \log\left(-\frac{x^{4} - 3 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d^{\frac{1}{3}} x^{2} - 2 \, a d + 2 \, d x + \sqrt{3} {\left(d^{\frac{1}{3}} x^{4} + {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d^{\frac{2}{3}} x^{2} - 2 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d\right)} \sqrt{-\frac{1}{d^{\frac{2}{3}}}}}{x^{4} + a d - d x}\right) + 2 \, d^{\frac{2}{3}} \log\left(\frac{d^{\frac{2}{3}} x^{2} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d}{x^{2}}\right) - d^{\frac{2}{3}} \log\left(\frac{d^{\frac{1}{3}} x^{4} + {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d^{\frac{2}{3}} x^{2} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d}{x^{4}}\right)}{2 \, d}, -\frac{2 \, \sqrt{3} d^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(d^{\frac{1}{3}} x^{2} + 2 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d^{\frac{2}{3}}\right)}}{3 \, d^{\frac{1}{3}} x^{2}}\right) - 2 \, d^{\frac{2}{3}} \log\left(\frac{d^{\frac{2}{3}} x^{2} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d}{x^{2}}\right) + d^{\frac{2}{3}} \log\left(\frac{d^{\frac{1}{3}} x^{4} + {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d^{\frac{2}{3}} x^{2} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d}{x^{4}}\right)}{2 \, d}\right]"," ",0,"[1/2*(sqrt(3)*d*sqrt(-1/d^(2/3))*log(-(x^4 - 3*(-a*x^2 + x^3)^(1/3)*d^(1/3)*x^2 - 2*a*d + 2*d*x + sqrt(3)*(d^(1/3)*x^4 + (-a*x^2 + x^3)^(1/3)*d^(2/3)*x^2 - 2*(-a*x^2 + x^3)^(2/3)*d)*sqrt(-1/d^(2/3)))/(x^4 + a*d - d*x)) + 2*d^(2/3)*log((d^(2/3)*x^2 - (-a*x^2 + x^3)^(1/3)*d)/x^2) - d^(2/3)*log((d^(1/3)*x^4 + (-a*x^2 + x^3)^(1/3)*d^(2/3)*x^2 + (-a*x^2 + x^3)^(2/3)*d)/x^4))/d, -1/2*(2*sqrt(3)*d^(2/3)*arctan(1/3*sqrt(3)*(d^(1/3)*x^2 + 2*(-a*x^2 + x^3)^(1/3)*d^(2/3))/(d^(1/3)*x^2)) - 2*d^(2/3)*log((d^(2/3)*x^2 - (-a*x^2 + x^3)^(1/3)*d)/x^2) + d^(2/3)*log((d^(1/3)*x^4 + (-a*x^2 + x^3)^(1/3)*d^(2/3)*x^2 + (-a*x^2 + x^3)^(2/3)*d)/x^4))/d]","A",0
2088,1,1197,0,0.605111," ","integrate((k^4*x^4-1)/((1-x)*x*(-k^2*x+1))^(1/2)/(k^4*x^4+1),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{-\frac{k^{2} + 2 \, \sqrt{\frac{1}{2}} {\left(k^{4} + 1\right)} \sqrt{\frac{k^{2}}{k^{8} + 2 \, k^{4} + 1}} + 1}{k^{4} + 1}} \log\left(\frac{k^{4} x^{4} + 4 \, k^{2} x^{2} - 2 \, {\left(k^{4} + k^{2}\right)} x^{3} + 4 \, \sqrt{\frac{1}{2}} {\left({\left(k^{6} + k^{2}\right)} x^{3} - {\left(k^{6} + k^{4} + k^{2} + 1\right)} x^{2} + {\left(k^{4} + 1\right)} x\right)} \sqrt{\frac{k^{2}}{k^{8} + 2 \, k^{4} + 1}} - 2 \, {\left(k^{2} + 1\right)} x + 2 \, \sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(2 \, k^{2} x - {\left(k^{4} + k^{2}\right)} x^{2} - k^{2} + 2 \, \sqrt{\frac{1}{2}} {\left(k^{4} + {\left(k^{6} + k^{2}\right)} x^{2} - {\left(k^{6} + k^{4} + k^{2} + 1\right)} x + 1\right)} \sqrt{\frac{k^{2}}{k^{8} + 2 \, k^{4} + 1}} - 1\right)} \sqrt{-\frac{k^{2} + 2 \, \sqrt{\frac{1}{2}} {\left(k^{4} + 1\right)} \sqrt{\frac{k^{2}}{k^{8} + 2 \, k^{4} + 1}} + 1}{k^{4} + 1}} + 1}{k^{4} x^{4} + 1}\right) + \frac{1}{4} \, \sqrt{-\frac{k^{2} + 2 \, \sqrt{\frac{1}{2}} {\left(k^{4} + 1\right)} \sqrt{\frac{k^{2}}{k^{8} + 2 \, k^{4} + 1}} + 1}{k^{4} + 1}} \log\left(\frac{k^{4} x^{4} + 4 \, k^{2} x^{2} - 2 \, {\left(k^{4} + k^{2}\right)} x^{3} + 4 \, \sqrt{\frac{1}{2}} {\left({\left(k^{6} + k^{2}\right)} x^{3} - {\left(k^{6} + k^{4} + k^{2} + 1\right)} x^{2} + {\left(k^{4} + 1\right)} x\right)} \sqrt{\frac{k^{2}}{k^{8} + 2 \, k^{4} + 1}} - 2 \, {\left(k^{2} + 1\right)} x - 2 \, \sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(2 \, k^{2} x - {\left(k^{4} + k^{2}\right)} x^{2} - k^{2} + 2 \, \sqrt{\frac{1}{2}} {\left(k^{4} + {\left(k^{6} + k^{2}\right)} x^{2} - {\left(k^{6} + k^{4} + k^{2} + 1\right)} x + 1\right)} \sqrt{\frac{k^{2}}{k^{8} + 2 \, k^{4} + 1}} - 1\right)} \sqrt{-\frac{k^{2} + 2 \, \sqrt{\frac{1}{2}} {\left(k^{4} + 1\right)} \sqrt{\frac{k^{2}}{k^{8} + 2 \, k^{4} + 1}} + 1}{k^{4} + 1}} + 1}{k^{4} x^{4} + 1}\right) - \frac{1}{4} \, \sqrt{-\frac{k^{2} - 2 \, \sqrt{\frac{1}{2}} {\left(k^{4} + 1\right)} \sqrt{\frac{k^{2}}{k^{8} + 2 \, k^{4} + 1}} + 1}{k^{4} + 1}} \log\left(\frac{k^{4} x^{4} + 4 \, k^{2} x^{2} - 2 \, {\left(k^{4} + k^{2}\right)} x^{3} - 4 \, \sqrt{\frac{1}{2}} {\left({\left(k^{6} + k^{2}\right)} x^{3} - {\left(k^{6} + k^{4} + k^{2} + 1\right)} x^{2} + {\left(k^{4} + 1\right)} x\right)} \sqrt{\frac{k^{2}}{k^{8} + 2 \, k^{4} + 1}} - 2 \, {\left(k^{2} + 1\right)} x + 2 \, \sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(2 \, k^{2} x - {\left(k^{4} + k^{2}\right)} x^{2} - k^{2} - 2 \, \sqrt{\frac{1}{2}} {\left(k^{4} + {\left(k^{6} + k^{2}\right)} x^{2} - {\left(k^{6} + k^{4} + k^{2} + 1\right)} x + 1\right)} \sqrt{\frac{k^{2}}{k^{8} + 2 \, k^{4} + 1}} - 1\right)} \sqrt{-\frac{k^{2} - 2 \, \sqrt{\frac{1}{2}} {\left(k^{4} + 1\right)} \sqrt{\frac{k^{2}}{k^{8} + 2 \, k^{4} + 1}} + 1}{k^{4} + 1}} + 1}{k^{4} x^{4} + 1}\right) + \frac{1}{4} \, \sqrt{-\frac{k^{2} - 2 \, \sqrt{\frac{1}{2}} {\left(k^{4} + 1\right)} \sqrt{\frac{k^{2}}{k^{8} + 2 \, k^{4} + 1}} + 1}{k^{4} + 1}} \log\left(\frac{k^{4} x^{4} + 4 \, k^{2} x^{2} - 2 \, {\left(k^{4} + k^{2}\right)} x^{3} - 4 \, \sqrt{\frac{1}{2}} {\left({\left(k^{6} + k^{2}\right)} x^{3} - {\left(k^{6} + k^{4} + k^{2} + 1\right)} x^{2} + {\left(k^{4} + 1\right)} x\right)} \sqrt{\frac{k^{2}}{k^{8} + 2 \, k^{4} + 1}} - 2 \, {\left(k^{2} + 1\right)} x - 2 \, \sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(2 \, k^{2} x - {\left(k^{4} + k^{2}\right)} x^{2} - k^{2} - 2 \, \sqrt{\frac{1}{2}} {\left(k^{4} + {\left(k^{6} + k^{2}\right)} x^{2} - {\left(k^{6} + k^{4} + k^{2} + 1\right)} x + 1\right)} \sqrt{\frac{k^{2}}{k^{8} + 2 \, k^{4} + 1}} - 1\right)} \sqrt{-\frac{k^{2} - 2 \, \sqrt{\frac{1}{2}} {\left(k^{4} + 1\right)} \sqrt{\frac{k^{2}}{k^{8} + 2 \, k^{4} + 1}} + 1}{k^{4} + 1}} + 1}{k^{4} x^{4} + 1}\right)"," ",0,"-1/4*sqrt(-(k^2 + 2*sqrt(1/2)*(k^4 + 1)*sqrt(k^2/(k^8 + 2*k^4 + 1)) + 1)/(k^4 + 1))*log((k^4*x^4 + 4*k^2*x^2 - 2*(k^4 + k^2)*x^3 + 4*sqrt(1/2)*((k^6 + k^2)*x^3 - (k^6 + k^4 + k^2 + 1)*x^2 + (k^4 + 1)*x)*sqrt(k^2/(k^8 + 2*k^4 + 1)) - 2*(k^2 + 1)*x + 2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(2*k^2*x - (k^4 + k^2)*x^2 - k^2 + 2*sqrt(1/2)*(k^4 + (k^6 + k^2)*x^2 - (k^6 + k^4 + k^2 + 1)*x + 1)*sqrt(k^2/(k^8 + 2*k^4 + 1)) - 1)*sqrt(-(k^2 + 2*sqrt(1/2)*(k^4 + 1)*sqrt(k^2/(k^8 + 2*k^4 + 1)) + 1)/(k^4 + 1)) + 1)/(k^4*x^4 + 1)) + 1/4*sqrt(-(k^2 + 2*sqrt(1/2)*(k^4 + 1)*sqrt(k^2/(k^8 + 2*k^4 + 1)) + 1)/(k^4 + 1))*log((k^4*x^4 + 4*k^2*x^2 - 2*(k^4 + k^2)*x^3 + 4*sqrt(1/2)*((k^6 + k^2)*x^3 - (k^6 + k^4 + k^2 + 1)*x^2 + (k^4 + 1)*x)*sqrt(k^2/(k^8 + 2*k^4 + 1)) - 2*(k^2 + 1)*x - 2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(2*k^2*x - (k^4 + k^2)*x^2 - k^2 + 2*sqrt(1/2)*(k^4 + (k^6 + k^2)*x^2 - (k^6 + k^4 + k^2 + 1)*x + 1)*sqrt(k^2/(k^8 + 2*k^4 + 1)) - 1)*sqrt(-(k^2 + 2*sqrt(1/2)*(k^4 + 1)*sqrt(k^2/(k^8 + 2*k^4 + 1)) + 1)/(k^4 + 1)) + 1)/(k^4*x^4 + 1)) - 1/4*sqrt(-(k^2 - 2*sqrt(1/2)*(k^4 + 1)*sqrt(k^2/(k^8 + 2*k^4 + 1)) + 1)/(k^4 + 1))*log((k^4*x^4 + 4*k^2*x^2 - 2*(k^4 + k^2)*x^3 - 4*sqrt(1/2)*((k^6 + k^2)*x^3 - (k^6 + k^4 + k^2 + 1)*x^2 + (k^4 + 1)*x)*sqrt(k^2/(k^8 + 2*k^4 + 1)) - 2*(k^2 + 1)*x + 2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(2*k^2*x - (k^4 + k^2)*x^2 - k^2 - 2*sqrt(1/2)*(k^4 + (k^6 + k^2)*x^2 - (k^6 + k^4 + k^2 + 1)*x + 1)*sqrt(k^2/(k^8 + 2*k^4 + 1)) - 1)*sqrt(-(k^2 - 2*sqrt(1/2)*(k^4 + 1)*sqrt(k^2/(k^8 + 2*k^4 + 1)) + 1)/(k^4 + 1)) + 1)/(k^4*x^4 + 1)) + 1/4*sqrt(-(k^2 - 2*sqrt(1/2)*(k^4 + 1)*sqrt(k^2/(k^8 + 2*k^4 + 1)) + 1)/(k^4 + 1))*log((k^4*x^4 + 4*k^2*x^2 - 2*(k^4 + k^2)*x^3 - 4*sqrt(1/2)*((k^6 + k^2)*x^3 - (k^6 + k^4 + k^2 + 1)*x^2 + (k^4 + 1)*x)*sqrt(k^2/(k^8 + 2*k^4 + 1)) - 2*(k^2 + 1)*x - 2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(2*k^2*x - (k^4 + k^2)*x^2 - k^2 - 2*sqrt(1/2)*(k^4 + (k^6 + k^2)*x^2 - (k^6 + k^4 + k^2 + 1)*x + 1)*sqrt(k^2/(k^8 + 2*k^4 + 1)) - 1)*sqrt(-(k^2 - 2*sqrt(1/2)*(k^4 + 1)*sqrt(k^2/(k^8 + 2*k^4 + 1)) + 1)/(k^4 + 1)) + 1)/(k^4*x^4 + 1))","B",0
2089,1,2372,0,23.492008," ","integrate((-x^4+1)/(x^4+1)/(x^5+x^3)^(1/4),x, algorithm=""fricas"")","-\frac{1}{2} \cdot 2^{\frac{7}{8}} \arctan\left(-\frac{4 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(2^{\frac{5}{8}} x + 2^{\frac{1}{8}} {\left(x^{2} + 1\right)}\right)} - {\left(2^{\frac{5}{8}} {\left(x^{6} + 4 \, x^{5} + 4 \, x^{4} + 4 \, x^{3} + x^{2}\right)} + 2 \, \sqrt{x^{5} + x^{3}} {\left(2^{\frac{7}{8}} {\left(x^{3} + 2 \, x^{2} + x\right)} + 2 \cdot 2^{\frac{3}{8}} {\left(x^{3} + x^{2} + x\right)}\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(x^{6} + 2 \, x^{5} + 4 \, x^{4} + 2 \, x^{3} + x^{2}\right)}\right)} \sqrt{3 \cdot 2^{\frac{3}{4}} - 4 \cdot 2^{\frac{1}{4}}} + 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(2^{\frac{7}{8}} x^{3} + 2^{\frac{3}{8}} {\left(x^{4} + x^{2}\right)}\right)}}{2 \, {\left(x^{6} + x^{2}\right)}}\right) + \frac{1}{8} \cdot 2^{\frac{7}{8}} \log\left(\frac{2^{\frac{7}{8}} {\left(x^{6} - 2 \, x^{5} + 4 \, x^{4} - 2 \, x^{3} + x^{2}\right)} + 2 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(2 \, x^{2} - \sqrt{2} {\left(x^{2} - 2 \, x + 1\right)} - 2 \, x + 2\right)} - 2 \, \sqrt{x^{5} + x^{3}} {\left(2^{\frac{5}{8}} {\left(x^{3} - 2 \, x^{2} + x\right)} - 2 \cdot 2^{\frac{1}{8}} {\left(x^{3} - x^{2} + x\right)}\right)} - 2^{\frac{3}{8}} {\left(x^{6} - 4 \, x^{5} + 4 \, x^{4} - 4 \, x^{3} + x^{2}\right)} - 2 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(2^{\frac{3}{4}} {\left(x^{4} - 2 \, x^{3} + x^{2}\right)} - 2 \cdot 2^{\frac{1}{4}} {\left(x^{4} - x^{3} + x^{2}\right)}\right)}}{x^{6} + x^{2}}\right) - \frac{1}{8} \cdot 2^{\frac{7}{8}} \log\left(-\frac{2^{\frac{7}{8}} {\left(x^{6} - 2 \, x^{5} + 4 \, x^{4} - 2 \, x^{3} + x^{2}\right)} - 2 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(2 \, x^{2} - \sqrt{2} {\left(x^{2} - 2 \, x + 1\right)} - 2 \, x + 2\right)} - 2 \, \sqrt{x^{5} + x^{3}} {\left(2^{\frac{5}{8}} {\left(x^{3} - 2 \, x^{2} + x\right)} - 2 \cdot 2^{\frac{1}{8}} {\left(x^{3} - x^{2} + x\right)}\right)} - 2^{\frac{3}{8}} {\left(x^{6} - 4 \, x^{5} + 4 \, x^{4} - 4 \, x^{3} + x^{2}\right)} + 2 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(2^{\frac{3}{4}} {\left(x^{4} - 2 \, x^{3} + x^{2}\right)} - 2 \cdot 2^{\frac{1}{4}} {\left(x^{4} - x^{3} + x^{2}\right)}\right)}}{x^{6} + x^{2}}\right) - \frac{1}{2} \cdot 2^{\frac{3}{8}} \arctan\left(-\frac{x^{10} + 64 \, x^{8} + 130 \, x^{6} + 64 \, x^{4} + x^{2} + 2 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(2^{\frac{5}{8}} {\left(x^{6} - 79 \, x^{4} - 79 \, x^{2} + 1\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(11 \, x^{5} + 16 \, x^{3} + 11 \, x\right)}\right)} + 16 \, \sqrt{2} {\left(x^{9} + 5 \, x^{7} + 5 \, x^{5} + x^{3}\right)} + 4 \, \sqrt{x^{5} + x^{3}} {\left(2^{\frac{3}{4}} {\left(15 \, x^{6} + 32 \, x^{4} + 15 \, x^{2}\right)} + 2^{\frac{1}{4}} {\left(x^{7} + 33 \, x^{5} + 33 \, x^{3} + x\right)}\right)} - {\left(16 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(2^{\frac{3}{4}} {\left(x^{5} - 14 \, x^{4} + 4 \, x^{3} - 14 \, x^{2} + x\right)} - 2^{\frac{1}{4}} {\left(x^{5} - 28 \, x^{4} + 4 \, x^{3} - 28 \, x^{2} + x\right)}\right)} + 2^{\frac{5}{8}} {\left(x^{10} - 6 \, x^{9} - 220 \, x^{8} + 26 \, x^{7} - 446 \, x^{6} + 26 \, x^{5} - 220 \, x^{4} - 6 \, x^{3} + x^{2}\right)} + 2 \, \sqrt{x^{5} + x^{3}} {\left(2^{\frac{7}{8}} {\left(x^{7} - 11 \, x^{6} - 79 \, x^{5} - 16 \, x^{4} - 79 \, x^{3} - 11 \, x^{2} + x\right)} - 2^{\frac{3}{8}} {\left(x^{7} - 22 \, x^{6} - 79 \, x^{5} - 32 \, x^{4} - 79 \, x^{3} - 22 \, x^{2} + x\right)}\right)} - 4 \, {\left(x^{8} - 30 \, x^{7} + 33 \, x^{6} - 64 \, x^{5} + 33 \, x^{4} - 30 \, x^{3} + x^{2} - \sqrt{2} {\left(x^{8} - 15 \, x^{7} + 33 \, x^{6} - 32 \, x^{5} + 33 \, x^{4} - 15 \, x^{3} + x^{2}\right)}\right)} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} - 2^{\frac{1}{8}} {\left(x^{10} - 12 \, x^{9} - 220 \, x^{8} + 52 \, x^{7} - 446 \, x^{6} + 52 \, x^{5} - 220 \, x^{4} - 12 \, x^{3} + x^{2}\right)}\right)} \sqrt{\frac{3 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)} + 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(2^{\frac{7}{8}} {\left(2 \, x^{2} - 3 \, x + 2\right)} + 2^{\frac{3}{8}} {\left(3 \, x^{2} - 4 \, x + 3\right)}\right)} + 8 \, \sqrt{x^{5} + x^{3}} {\left(3 \, x^{3} - 4 \, x^{2} + \sqrt{2} {\left(2 \, x^{3} - 3 \, x^{2} + 2 \, x\right)} + 3 \, x\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)} + 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(2^{\frac{5}{8}} {\left(3 \, x^{4} - 4 \, x^{3} + 3 \, x^{2}\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(2 \, x^{4} - 3 \, x^{3} + 2 \, x^{2}\right)}\right)}}{x^{6} + x^{2}}} + 2 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(2^{\frac{7}{8}} {\left(3 \, x^{8} - 13 \, x^{6} - 13 \, x^{4} + 3 \, x^{2}\right)} + 2 \cdot 2^{\frac{3}{8}} {\left(41 \, x^{7} + 80 \, x^{5} + 41 \, x^{3}\right)}\right)}}{x^{10} - 384 \, x^{8} - 766 \, x^{6} - 384 \, x^{4} + x^{2}}\right) + \frac{1}{2} \cdot 2^{\frac{3}{8}} \arctan\left(-\frac{x^{10} + 64 \, x^{8} + 130 \, x^{6} + 64 \, x^{4} + x^{2} - 2 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(2^{\frac{5}{8}} {\left(x^{6} - 79 \, x^{4} - 79 \, x^{2} + 1\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(11 \, x^{5} + 16 \, x^{3} + 11 \, x\right)}\right)} + 16 \, \sqrt{2} {\left(x^{9} + 5 \, x^{7} + 5 \, x^{5} + x^{3}\right)} + 4 \, \sqrt{x^{5} + x^{3}} {\left(2^{\frac{3}{4}} {\left(15 \, x^{6} + 32 \, x^{4} + 15 \, x^{2}\right)} + 2^{\frac{1}{4}} {\left(x^{7} + 33 \, x^{5} + 33 \, x^{3} + x\right)}\right)} - {\left(16 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(2^{\frac{3}{4}} {\left(x^{5} - 14 \, x^{4} + 4 \, x^{3} - 14 \, x^{2} + x\right)} - 2^{\frac{1}{4}} {\left(x^{5} - 28 \, x^{4} + 4 \, x^{3} - 28 \, x^{2} + x\right)}\right)} - 2^{\frac{5}{8}} {\left(x^{10} - 6 \, x^{9} - 220 \, x^{8} + 26 \, x^{7} - 446 \, x^{6} + 26 \, x^{5} - 220 \, x^{4} - 6 \, x^{3} + x^{2}\right)} - 2 \, \sqrt{x^{5} + x^{3}} {\left(2^{\frac{7}{8}} {\left(x^{7} - 11 \, x^{6} - 79 \, x^{5} - 16 \, x^{4} - 79 \, x^{3} - 11 \, x^{2} + x\right)} - 2^{\frac{3}{8}} {\left(x^{7} - 22 \, x^{6} - 79 \, x^{5} - 32 \, x^{4} - 79 \, x^{3} - 22 \, x^{2} + x\right)}\right)} - 4 \, {\left(x^{8} - 30 \, x^{7} + 33 \, x^{6} - 64 \, x^{5} + 33 \, x^{4} - 30 \, x^{3} + x^{2} - \sqrt{2} {\left(x^{8} - 15 \, x^{7} + 33 \, x^{6} - 32 \, x^{5} + 33 \, x^{4} - 15 \, x^{3} + x^{2}\right)}\right)} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} + 2^{\frac{1}{8}} {\left(x^{10} - 12 \, x^{9} - 220 \, x^{8} + 52 \, x^{7} - 446 \, x^{6} + 52 \, x^{5} - 220 \, x^{4} - 12 \, x^{3} + x^{2}\right)}\right)} \sqrt{\frac{3 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)} - 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(2^{\frac{7}{8}} {\left(2 \, x^{2} - 3 \, x + 2\right)} + 2^{\frac{3}{8}} {\left(3 \, x^{2} - 4 \, x + 3\right)}\right)} + 8 \, \sqrt{x^{5} + x^{3}} {\left(3 \, x^{3} - 4 \, x^{2} + \sqrt{2} {\left(2 \, x^{3} - 3 \, x^{2} + 2 \, x\right)} + 3 \, x\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)} - 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(2^{\frac{5}{8}} {\left(3 \, x^{4} - 4 \, x^{3} + 3 \, x^{2}\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(2 \, x^{4} - 3 \, x^{3} + 2 \, x^{2}\right)}\right)}}{x^{6} + x^{2}}} - 2 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(2^{\frac{7}{8}} {\left(3 \, x^{8} - 13 \, x^{6} - 13 \, x^{4} + 3 \, x^{2}\right)} + 2 \cdot 2^{\frac{3}{8}} {\left(41 \, x^{7} + 80 \, x^{5} + 41 \, x^{3}\right)}\right)}}{x^{10} - 384 \, x^{8} - 766 \, x^{6} - 384 \, x^{4} + x^{2}}\right) + \frac{1}{8} \cdot 2^{\frac{3}{8}} \log\left(\frac{4 \, {\left(3 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)} + 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(2^{\frac{7}{8}} {\left(2 \, x^{2} - 3 \, x + 2\right)} + 2^{\frac{3}{8}} {\left(3 \, x^{2} - 4 \, x + 3\right)}\right)} + 8 \, \sqrt{x^{5} + x^{3}} {\left(3 \, x^{3} - 4 \, x^{2} + \sqrt{2} {\left(2 \, x^{3} - 3 \, x^{2} + 2 \, x\right)} + 3 \, x\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)} + 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(2^{\frac{5}{8}} {\left(3 \, x^{4} - 4 \, x^{3} + 3 \, x^{2}\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(2 \, x^{4} - 3 \, x^{3} + 2 \, x^{2}\right)}\right)}\right)}}{x^{6} + x^{2}}\right) - \frac{1}{8} \cdot 2^{\frac{3}{8}} \log\left(\frac{4 \, {\left(3 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)} - 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(2^{\frac{7}{8}} {\left(2 \, x^{2} - 3 \, x + 2\right)} + 2^{\frac{3}{8}} {\left(3 \, x^{2} - 4 \, x + 3\right)}\right)} + 8 \, \sqrt{x^{5} + x^{3}} {\left(3 \, x^{3} - 4 \, x^{2} + \sqrt{2} {\left(2 \, x^{3} - 3 \, x^{2} + 2 \, x\right)} + 3 \, x\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)} - 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(2^{\frac{5}{8}} {\left(3 \, x^{4} - 4 \, x^{3} + 3 \, x^{2}\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(2 \, x^{4} - 3 \, x^{3} + 2 \, x^{2}\right)}\right)}\right)}}{x^{6} + x^{2}}\right)"," ",0,"-1/2*2^(7/8)*arctan(-1/2*(4*(x^5 + x^3)^(3/4)*(2^(5/8)*x + 2^(1/8)*(x^2 + 1)) - (2^(5/8)*(x^6 + 4*x^5 + 4*x^4 + 4*x^3 + x^2) + 2*sqrt(x^5 + x^3)*(2^(7/8)*(x^3 + 2*x^2 + x) + 2*2^(3/8)*(x^3 + x^2 + x)) + 2*2^(1/8)*(x^6 + 2*x^5 + 4*x^4 + 2*x^3 + x^2))*sqrt(3*2^(3/4) - 4*2^(1/4)) + 4*(x^5 + x^3)^(1/4)*(2^(7/8)*x^3 + 2^(3/8)*(x^4 + x^2)))/(x^6 + x^2)) + 1/8*2^(7/8)*log((2^(7/8)*(x^6 - 2*x^5 + 4*x^4 - 2*x^3 + x^2) + 2*(x^5 + x^3)^(3/4)*(2*x^2 - sqrt(2)*(x^2 - 2*x + 1) - 2*x + 2) - 2*sqrt(x^5 + x^3)*(2^(5/8)*(x^3 - 2*x^2 + x) - 2*2^(1/8)*(x^3 - x^2 + x)) - 2^(3/8)*(x^6 - 4*x^5 + 4*x^4 - 4*x^3 + x^2) - 2*(x^5 + x^3)^(1/4)*(2^(3/4)*(x^4 - 2*x^3 + x^2) - 2*2^(1/4)*(x^4 - x^3 + x^2)))/(x^6 + x^2)) - 1/8*2^(7/8)*log(-(2^(7/8)*(x^6 - 2*x^5 + 4*x^4 - 2*x^3 + x^2) - 2*(x^5 + x^3)^(3/4)*(2*x^2 - sqrt(2)*(x^2 - 2*x + 1) - 2*x + 2) - 2*sqrt(x^5 + x^3)*(2^(5/8)*(x^3 - 2*x^2 + x) - 2*2^(1/8)*(x^3 - x^2 + x)) - 2^(3/8)*(x^6 - 4*x^5 + 4*x^4 - 4*x^3 + x^2) + 2*(x^5 + x^3)^(1/4)*(2^(3/4)*(x^4 - 2*x^3 + x^2) - 2*2^(1/4)*(x^4 - x^3 + x^2)))/(x^6 + x^2)) - 1/2*2^(3/8)*arctan(-(x^10 + 64*x^8 + 130*x^6 + 64*x^4 + x^2 + 2*(x^5 + x^3)^(3/4)*(2^(5/8)*(x^6 - 79*x^4 - 79*x^2 + 1) + 2*2^(1/8)*(11*x^5 + 16*x^3 + 11*x)) + 16*sqrt(2)*(x^9 + 5*x^7 + 5*x^5 + x^3) + 4*sqrt(x^5 + x^3)*(2^(3/4)*(15*x^6 + 32*x^4 + 15*x^2) + 2^(1/4)*(x^7 + 33*x^5 + 33*x^3 + x)) - (16*(x^5 + x^3)^(3/4)*(2^(3/4)*(x^5 - 14*x^4 + 4*x^3 - 14*x^2 + x) - 2^(1/4)*(x^5 - 28*x^4 + 4*x^3 - 28*x^2 + x)) + 2^(5/8)*(x^10 - 6*x^9 - 220*x^8 + 26*x^7 - 446*x^6 + 26*x^5 - 220*x^4 - 6*x^3 + x^2) + 2*sqrt(x^5 + x^3)*(2^(7/8)*(x^7 - 11*x^6 - 79*x^5 - 16*x^4 - 79*x^3 - 11*x^2 + x) - 2^(3/8)*(x^7 - 22*x^6 - 79*x^5 - 32*x^4 - 79*x^3 - 22*x^2 + x)) - 4*(x^8 - 30*x^7 + 33*x^6 - 64*x^5 + 33*x^4 - 30*x^3 + x^2 - sqrt(2)*(x^8 - 15*x^7 + 33*x^6 - 32*x^5 + 33*x^4 - 15*x^3 + x^2))*(x^5 + x^3)^(1/4) - 2^(1/8)*(x^10 - 12*x^9 - 220*x^8 + 52*x^7 - 446*x^6 + 52*x^5 - 220*x^4 - 12*x^3 + x^2))*sqrt((3*2^(3/4)*(x^6 + x^2) + 4*(x^5 + x^3)^(3/4)*(2^(7/8)*(2*x^2 - 3*x + 2) + 2^(3/8)*(3*x^2 - 4*x + 3)) + 8*sqrt(x^5 + x^3)*(3*x^3 - 4*x^2 + sqrt(2)*(2*x^3 - 3*x^2 + 2*x) + 3*x) + 4*2^(1/4)*(x^6 + x^2) + 4*(x^5 + x^3)^(1/4)*(2^(5/8)*(3*x^4 - 4*x^3 + 3*x^2) + 2*2^(1/8)*(2*x^4 - 3*x^3 + 2*x^2)))/(x^6 + x^2)) + 2*(x^5 + x^3)^(1/4)*(2^(7/8)*(3*x^8 - 13*x^6 - 13*x^4 + 3*x^2) + 2*2^(3/8)*(41*x^7 + 80*x^5 + 41*x^3)))/(x^10 - 384*x^8 - 766*x^6 - 384*x^4 + x^2)) + 1/2*2^(3/8)*arctan(-(x^10 + 64*x^8 + 130*x^6 + 64*x^4 + x^2 - 2*(x^5 + x^3)^(3/4)*(2^(5/8)*(x^6 - 79*x^4 - 79*x^2 + 1) + 2*2^(1/8)*(11*x^5 + 16*x^3 + 11*x)) + 16*sqrt(2)*(x^9 + 5*x^7 + 5*x^5 + x^3) + 4*sqrt(x^5 + x^3)*(2^(3/4)*(15*x^6 + 32*x^4 + 15*x^2) + 2^(1/4)*(x^7 + 33*x^5 + 33*x^3 + x)) - (16*(x^5 + x^3)^(3/4)*(2^(3/4)*(x^5 - 14*x^4 + 4*x^3 - 14*x^2 + x) - 2^(1/4)*(x^5 - 28*x^4 + 4*x^3 - 28*x^2 + x)) - 2^(5/8)*(x^10 - 6*x^9 - 220*x^8 + 26*x^7 - 446*x^6 + 26*x^5 - 220*x^4 - 6*x^3 + x^2) - 2*sqrt(x^5 + x^3)*(2^(7/8)*(x^7 - 11*x^6 - 79*x^5 - 16*x^4 - 79*x^3 - 11*x^2 + x) - 2^(3/8)*(x^7 - 22*x^6 - 79*x^5 - 32*x^4 - 79*x^3 - 22*x^2 + x)) - 4*(x^8 - 30*x^7 + 33*x^6 - 64*x^5 + 33*x^4 - 30*x^3 + x^2 - sqrt(2)*(x^8 - 15*x^7 + 33*x^6 - 32*x^5 + 33*x^4 - 15*x^3 + x^2))*(x^5 + x^3)^(1/4) + 2^(1/8)*(x^10 - 12*x^9 - 220*x^8 + 52*x^7 - 446*x^6 + 52*x^5 - 220*x^4 - 12*x^3 + x^2))*sqrt((3*2^(3/4)*(x^6 + x^2) - 4*(x^5 + x^3)^(3/4)*(2^(7/8)*(2*x^2 - 3*x + 2) + 2^(3/8)*(3*x^2 - 4*x + 3)) + 8*sqrt(x^5 + x^3)*(3*x^3 - 4*x^2 + sqrt(2)*(2*x^3 - 3*x^2 + 2*x) + 3*x) + 4*2^(1/4)*(x^6 + x^2) - 4*(x^5 + x^3)^(1/4)*(2^(5/8)*(3*x^4 - 4*x^3 + 3*x^2) + 2*2^(1/8)*(2*x^4 - 3*x^3 + 2*x^2)))/(x^6 + x^2)) - 2*(x^5 + x^3)^(1/4)*(2^(7/8)*(3*x^8 - 13*x^6 - 13*x^4 + 3*x^2) + 2*2^(3/8)*(41*x^7 + 80*x^5 + 41*x^3)))/(x^10 - 384*x^8 - 766*x^6 - 384*x^4 + x^2)) + 1/8*2^(3/8)*log(4*(3*2^(3/4)*(x^6 + x^2) + 4*(x^5 + x^3)^(3/4)*(2^(7/8)*(2*x^2 - 3*x + 2) + 2^(3/8)*(3*x^2 - 4*x + 3)) + 8*sqrt(x^5 + x^3)*(3*x^3 - 4*x^2 + sqrt(2)*(2*x^3 - 3*x^2 + 2*x) + 3*x) + 4*2^(1/4)*(x^6 + x^2) + 4*(x^5 + x^3)^(1/4)*(2^(5/8)*(3*x^4 - 4*x^3 + 3*x^2) + 2*2^(1/8)*(2*x^4 - 3*x^3 + 2*x^2)))/(x^6 + x^2)) - 1/8*2^(3/8)*log(4*(3*2^(3/4)*(x^6 + x^2) - 4*(x^5 + x^3)^(3/4)*(2^(7/8)*(2*x^2 - 3*x + 2) + 2^(3/8)*(3*x^2 - 4*x + 3)) + 8*sqrt(x^5 + x^3)*(3*x^3 - 4*x^2 + sqrt(2)*(2*x^3 - 3*x^2 + 2*x) + 3*x) + 4*2^(1/4)*(x^6 + x^2) - 4*(x^5 + x^3)^(1/4)*(2^(5/8)*(3*x^4 - 4*x^3 + 3*x^2) + 2*2^(1/8)*(2*x^4 - 3*x^3 + 2*x^2)))/(x^6 + x^2))","B",0
2090,1,297,0,2.963617," ","integrate((x^3+1)^(2/3)*(x^6+2)/x^6/(x^3-1)^2,x, algorithm=""fricas"")","-\frac{50 \, \sqrt{3} \left(-4\right)^{\frac{1}{3}} {\left(x^{8} - x^{5}\right)} \arctan\left(\frac{3 \, \sqrt{3} \left(-4\right)^{\frac{2}{3}} {\left(5 \, x^{7} - 4 \, x^{4} - x\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}} + 6 \, \sqrt{3} \left(-4\right)^{\frac{1}{3}} {\left(19 \, x^{8} + 16 \, x^{5} + x^{2}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}} - \sqrt{3} {\left(71 \, x^{9} + 111 \, x^{6} + 33 \, x^{3} + 1\right)}}{3 \, {\left(109 \, x^{9} + 105 \, x^{6} + 3 \, x^{3} - 1\right)}}\right) - 50 \, \left(-4\right)^{\frac{1}{3}} {\left(x^{8} - x^{5}\right)} \log\left(\frac{3 \, \left(-4\right)^{\frac{2}{3}} {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 6 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + \left(-4\right)^{\frac{1}{3}} {\left(x^{3} - 1\right)}}{x^{3} - 1}\right) + 25 \, \left(-4\right)^{\frac{1}{3}} {\left(x^{8} - x^{5}\right)} \log\left(-\frac{6 \, \left(-4\right)^{\frac{1}{3}} {\left(5 \, x^{4} + x\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}} - \left(-4\right)^{\frac{2}{3}} {\left(19 \, x^{6} + 16 \, x^{3} + 1\right)} - 24 \, {\left(2 \, x^{5} + x^{2}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x^{6} - 2 \, x^{3} + 1}\right) + 18 \, {\left(17 \, x^{6} - 10 \, x^{3} - 2\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{90 \, {\left(x^{8} - x^{5}\right)}}"," ",0,"-1/90*(50*sqrt(3)*(-4)^(1/3)*(x^8 - x^5)*arctan(1/3*(3*sqrt(3)*(-4)^(2/3)*(5*x^7 - 4*x^4 - x)*(x^3 + 1)^(2/3) + 6*sqrt(3)*(-4)^(1/3)*(19*x^8 + 16*x^5 + x^2)*(x^3 + 1)^(1/3) - sqrt(3)*(71*x^9 + 111*x^6 + 33*x^3 + 1))/(109*x^9 + 105*x^6 + 3*x^3 - 1)) - 50*(-4)^(1/3)*(x^8 - x^5)*log((3*(-4)^(2/3)*(x^3 + 1)^(1/3)*x^2 - 6*(x^3 + 1)^(2/3)*x + (-4)^(1/3)*(x^3 - 1))/(x^3 - 1)) + 25*(-4)^(1/3)*(x^8 - x^5)*log(-(6*(-4)^(1/3)*(5*x^4 + x)*(x^3 + 1)^(2/3) - (-4)^(2/3)*(19*x^6 + 16*x^3 + 1) - 24*(2*x^5 + x^2)*(x^3 + 1)^(1/3))/(x^6 - 2*x^3 + 1)) + 18*(17*x^6 - 10*x^3 - 2)*(x^3 + 1)^(2/3))/(x^8 - x^5)","B",0
2091,1,294,0,3.081060," ","integrate((x^3-1)^(2/3)*(x^6+2*x^3-2)/x^6/(x^3+1)^2,x, algorithm=""fricas"")","-\frac{70 \, \sqrt{3} \left(-4\right)^{\frac{1}{3}} {\left(x^{8} + x^{5}\right)} \arctan\left(\frac{3 \, \sqrt{3} \left(-4\right)^{\frac{2}{3}} {\left(5 \, x^{7} + 4 \, x^{4} - x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} + 6 \, \sqrt{3} \left(-4\right)^{\frac{1}{3}} {\left(19 \, x^{8} - 16 \, x^{5} + x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}} - \sqrt{3} {\left(71 \, x^{9} - 111 \, x^{6} + 33 \, x^{3} - 1\right)}}{3 \, {\left(109 \, x^{9} - 105 \, x^{6} + 3 \, x^{3} + 1\right)}}\right) - 70 \, \left(-4\right)^{\frac{1}{3}} {\left(x^{8} + x^{5}\right)} \log\left(-\frac{3 \, \left(-4\right)^{\frac{2}{3}} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} - 6 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + \left(-4\right)^{\frac{1}{3}} {\left(x^{3} + 1\right)}}{x^{3} + 1}\right) + 35 \, \left(-4\right)^{\frac{1}{3}} {\left(x^{8} + x^{5}\right)} \log\left(-\frac{6 \, \left(-4\right)^{\frac{1}{3}} {\left(5 \, x^{4} - x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} - \left(-4\right)^{\frac{2}{3}} {\left(19 \, x^{6} - 16 \, x^{3} + 1\right)} - 24 \, {\left(2 \, x^{5} - x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x^{6} + 2 \, x^{3} + 1}\right) + 18 \, {\left(22 \, x^{6} + 15 \, x^{3} - 2\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{90 \, {\left(x^{8} + x^{5}\right)}}"," ",0,"-1/90*(70*sqrt(3)*(-4)^(1/3)*(x^8 + x^5)*arctan(1/3*(3*sqrt(3)*(-4)^(2/3)*(5*x^7 + 4*x^4 - x)*(x^3 - 1)^(2/3) + 6*sqrt(3)*(-4)^(1/3)*(19*x^8 - 16*x^5 + x^2)*(x^3 - 1)^(1/3) - sqrt(3)*(71*x^9 - 111*x^6 + 33*x^3 - 1))/(109*x^9 - 105*x^6 + 3*x^3 + 1)) - 70*(-4)^(1/3)*(x^8 + x^5)*log(-(3*(-4)^(2/3)*(x^3 - 1)^(1/3)*x^2 - 6*(x^3 - 1)^(2/3)*x + (-4)^(1/3)*(x^3 + 1))/(x^3 + 1)) + 35*(-4)^(1/3)*(x^8 + x^5)*log(-(6*(-4)^(1/3)*(5*x^4 - x)*(x^3 - 1)^(2/3) - (-4)^(2/3)*(19*x^6 - 16*x^3 + 1) - 24*(2*x^5 - x^2)*(x^3 - 1)^(1/3))/(x^6 + 2*x^3 + 1)) + 18*(22*x^6 + 15*x^3 - 2)*(x^3 - 1)^(2/3))/(x^8 + x^5)","B",0
2092,-1,0,0,0.000000," ","integrate((a*x^6+2*b)*(a*x^6-c*x^4-b)/x^2/(a*x^6-b)^(3/4)/(a*x^6+c*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2093,-1,0,0,0.000000," ","integrate((c+d*(a*x^2+b)^(1/2))^(1/2)/x,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2094,1,236,0,2.397740," ","integrate((a^2*x^4-b)*(a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(a^2*x^4+b)^(1/2),x, algorithm=""fricas"")","\left[\frac{11 \, \sqrt{2} \sqrt{a} b \log\left(4 \, a^{2} x^{4} + 4 \, \sqrt{a^{2} x^{4} + b} a x^{2} - 2 \, {\left(\sqrt{2} a^{\frac{3}{2}} x^{3} + \sqrt{2} \sqrt{a^{2} x^{4} + b} \sqrt{a} x\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} + b\right) - 4 \, {\left(a^{2} x^{3} - 3 \, \sqrt{a^{2} x^{4} + b} a x\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{32 \, a}, \frac{11 \, \sqrt{2} \sqrt{-a} b \arctan\left(\frac{\sqrt{2} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} \sqrt{-a}}{2 \, a x}\right) - 2 \, {\left(a^{2} x^{3} - 3 \, \sqrt{a^{2} x^{4} + b} a x\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{16 \, a}\right]"," ",0,"[1/32*(11*sqrt(2)*sqrt(a)*b*log(4*a^2*x^4 + 4*sqrt(a^2*x^4 + b)*a*x^2 - 2*(sqrt(2)*a^(3/2)*x^3 + sqrt(2)*sqrt(a^2*x^4 + b)*sqrt(a)*x)*sqrt(a*x^2 + sqrt(a^2*x^4 + b)) + b) - 4*(a^2*x^3 - 3*sqrt(a^2*x^4 + b)*a*x)*sqrt(a*x^2 + sqrt(a^2*x^4 + b)))/a, 1/16*(11*sqrt(2)*sqrt(-a)*b*arctan(1/2*sqrt(2)*sqrt(a*x^2 + sqrt(a^2*x^4 + b))*sqrt(-a)/(a*x)) - 2*(a^2*x^3 - 3*sqrt(a^2*x^4 + b)*a*x)*sqrt(a*x^2 + sqrt(a^2*x^4 + b)))/a]","A",0
2095,1,236,0,2.310951," ","integrate((a^2*x^4+b)^(1/2)*(a*x^2+(a^2*x^4+b)^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{5 \, \sqrt{2} \sqrt{a} b \log\left(4 \, a^{2} x^{4} + 4 \, \sqrt{a^{2} x^{4} + b} a x^{2} + 2 \, {\left(\sqrt{2} a^{\frac{3}{2}} x^{3} + \sqrt{2} \sqrt{a^{2} x^{4} + b} \sqrt{a} x\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} + b\right) - 4 \, {\left(a^{2} x^{3} - 3 \, \sqrt{a^{2} x^{4} + b} a x\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{32 \, a}, -\frac{5 \, \sqrt{2} \sqrt{-a} b \arctan\left(\frac{\sqrt{2} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} \sqrt{-a}}{2 \, a x}\right) + 2 \, {\left(a^{2} x^{3} - 3 \, \sqrt{a^{2} x^{4} + b} a x\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{16 \, a}\right]"," ",0,"[1/32*(5*sqrt(2)*sqrt(a)*b*log(4*a^2*x^4 + 4*sqrt(a^2*x^4 + b)*a*x^2 + 2*(sqrt(2)*a^(3/2)*x^3 + sqrt(2)*sqrt(a^2*x^4 + b)*sqrt(a)*x)*sqrt(a*x^2 + sqrt(a^2*x^4 + b)) + b) - 4*(a^2*x^3 - 3*sqrt(a^2*x^4 + b)*a*x)*sqrt(a*x^2 + sqrt(a^2*x^4 + b)))/a, -1/16*(5*sqrt(2)*sqrt(-a)*b*arctan(1/2*sqrt(2)*sqrt(a*x^2 + sqrt(a^2*x^4 + b))*sqrt(-a)/(a*x)) + 2*(a^2*x^3 - 3*sqrt(a^2*x^4 + b)*a*x)*sqrt(a*x^2 + sqrt(a^2*x^4 + b)))/a]","A",0
2096,-1,0,0,0.000000," ","integrate(1/(a*x+2*b)/(a*x^3+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2097,1,156,0,0.512331," ","integrate(x*(-4*a+3*x)/(x^2*(-a+x))^(1/3)/(x^4+a*d-d*x),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} {\left(d^{2}\right)}^{\frac{1}{6}} d \arctan\left(\frac{\sqrt{3} {\left({\left(d^{2}\right)}^{\frac{1}{3}} x^{2} + 2 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d\right)} {\left(d^{2}\right)}^{\frac{1}{6}}}{3 \, d x^{2}}\right) + 2 \, {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(\frac{{\left(d^{2}\right)}^{\frac{1}{3}} x^{2} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d}{x^{2}}\right) - {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(\frac{{\left(d^{2}\right)}^{\frac{2}{3}} x^{4} + {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} {\left(d^{2}\right)}^{\frac{1}{3}} d x^{2} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d^{2}}{x^{4}}\right)}{2 \, d^{2}}"," ",0,"1/2*(2*sqrt(3)*(d^2)^(1/6)*d*arctan(1/3*sqrt(3)*((d^2)^(1/3)*x^2 + 2*(-a*x^2 + x^3)^(1/3)*d)*(d^2)^(1/6)/(d*x^2)) + 2*(d^2)^(2/3)*log(((d^2)^(1/3)*x^2 - (-a*x^2 + x^3)^(1/3)*d)/x^2) - (d^2)^(2/3)*log(((d^2)^(2/3)*x^4 + (-a*x^2 + x^3)^(1/3)*(d^2)^(1/3)*d*x^2 + (-a*x^2 + x^3)^(2/3)*d^2)/x^4))/d^2","A",0
2098,-1,0,0,0.000000," ","integrate((a*x^5-b)^(3/4)*(a*x^5+4*b)/x^4/(a*x^5+c*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2099,1,677,0,17.229363," ","integrate((x^8+1)^(3/4)/(x^8-1),x, algorithm=""fricas"")","-\frac{1}{8} \cdot 2^{\frac{3}{4}} \arctan\left(\frac{2^{\frac{1}{4}} {\left(x^{8} + 1\right)}^{\frac{3}{4}} x^{2}}{x^{9} + x}\right) - \frac{1}{32} \cdot 2^{\frac{3}{4}} \log\left(-\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{8} + 1\right)}^{\frac{1}{4}} x^{3} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{8} + 1\right)}^{\frac{3}{4}} x + 4 \, \sqrt{x^{8} + 1} x^{2} + \sqrt{2} {\left(x^{8} + 2 \, x^{4} + 1\right)}}{x^{8} - 2 \, x^{4} + 1}\right) + \frac{1}{32} \cdot 2^{\frac{3}{4}} \log\left(\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{8} + 1\right)}^{\frac{1}{4}} x^{3} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{8} + 1\right)}^{\frac{3}{4}} x - 4 \, \sqrt{x^{8} + 1} x^{2} - \sqrt{2} {\left(x^{8} + 2 \, x^{4} + 1\right)}}{x^{8} - 2 \, x^{4} + 1}\right) - \frac{1}{8} \cdot 2^{\frac{1}{4}} \arctan\left(\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{8} + 1\right)}^{\frac{1}{4}} x^{3} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{8} + 1\right)}^{\frac{3}{4}} x + \sqrt{2} {\left(2 \cdot 2^{\frac{3}{4}} {\left(x^{8} + 1\right)}^{\frac{1}{4}} x^{3} - 4 \, \sqrt{x^{8} + 1} x^{2} + 2 \cdot 2^{\frac{1}{4}} {\left(x^{8} + 1\right)}^{\frac{3}{4}} x - \sqrt{2} {\left(x^{8} + 2 \, x^{4} + 1\right)}\right)} \sqrt{\frac{x^{8} + 2 \, x^{4} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{8} + 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{2} \sqrt{x^{8} + 1} x^{2} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{8} + 1\right)}^{\frac{3}{4}} x + 1}{x^{8} + 2 \, x^{4} + 1}}}{2 \, {\left(x^{8} - 2 \, x^{4} + 1\right)}}\right) - \frac{1}{8} \cdot 2^{\frac{1}{4}} \arctan\left(\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{8} + 1\right)}^{\frac{1}{4}} x^{3} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{8} + 1\right)}^{\frac{3}{4}} x + \sqrt{2} {\left(2 \cdot 2^{\frac{3}{4}} {\left(x^{8} + 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{x^{8} + 1} x^{2} + 2 \cdot 2^{\frac{1}{4}} {\left(x^{8} + 1\right)}^{\frac{3}{4}} x + \sqrt{2} {\left(x^{8} + 2 \, x^{4} + 1\right)}\right)} \sqrt{\frac{x^{8} + 2 \, x^{4} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{8} + 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{2} \sqrt{x^{8} + 1} x^{2} - 2 \cdot 2^{\frac{3}{4}} {\left(x^{8} + 1\right)}^{\frac{3}{4}} x + 1}{x^{8} + 2 \, x^{4} + 1}}}{2 \, {\left(x^{8} - 2 \, x^{4} + 1\right)}}\right) - \frac{1}{32} \cdot 2^{\frac{1}{4}} \log\left(\frac{2 \, {\left(x^{8} + 2 \, x^{4} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{8} + 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{2} \sqrt{x^{8} + 1} x^{2} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{8} + 1\right)}^{\frac{3}{4}} x + 1\right)}}{x^{8} + 2 \, x^{4} + 1}\right) + \frac{1}{32} \cdot 2^{\frac{1}{4}} \log\left(\frac{2 \, {\left(x^{8} + 2 \, x^{4} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{8} + 1\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{2} \sqrt{x^{8} + 1} x^{2} - 2 \cdot 2^{\frac{3}{4}} {\left(x^{8} + 1\right)}^{\frac{3}{4}} x + 1\right)}}{x^{8} + 2 \, x^{4} + 1}\right)"," ",0,"-1/8*2^(3/4)*arctan(2^(1/4)*(x^8 + 1)^(3/4)*x^2/(x^9 + x)) - 1/32*2^(3/4)*log(-(4*2^(1/4)*(x^8 + 1)^(1/4)*x^3 + 2*2^(3/4)*(x^8 + 1)^(3/4)*x + 4*sqrt(x^8 + 1)*x^2 + sqrt(2)*(x^8 + 2*x^4 + 1))/(x^8 - 2*x^4 + 1)) + 1/32*2^(3/4)*log((4*2^(1/4)*(x^8 + 1)^(1/4)*x^3 + 2*2^(3/4)*(x^8 + 1)^(3/4)*x - 4*sqrt(x^8 + 1)*x^2 - sqrt(2)*(x^8 + 2*x^4 + 1))/(x^8 - 2*x^4 + 1)) - 1/8*2^(1/4)*arctan(1/2*(4*2^(1/4)*(x^8 + 1)^(1/4)*x^3 + 2*2^(3/4)*(x^8 + 1)^(3/4)*x + sqrt(2)*(2*2^(3/4)*(x^8 + 1)^(1/4)*x^3 - 4*sqrt(x^8 + 1)*x^2 + 2*2^(1/4)*(x^8 + 1)^(3/4)*x - sqrt(2)*(x^8 + 2*x^4 + 1))*sqrt((x^8 + 2*x^4 + 4*2^(1/4)*(x^8 + 1)^(1/4)*x^3 + 4*sqrt(2)*sqrt(x^8 + 1)*x^2 + 2*2^(3/4)*(x^8 + 1)^(3/4)*x + 1)/(x^8 + 2*x^4 + 1)))/(x^8 - 2*x^4 + 1)) - 1/8*2^(1/4)*arctan(1/2*(4*2^(1/4)*(x^8 + 1)^(1/4)*x^3 + 2*2^(3/4)*(x^8 + 1)^(3/4)*x + sqrt(2)*(2*2^(3/4)*(x^8 + 1)^(1/4)*x^3 + 4*sqrt(x^8 + 1)*x^2 + 2*2^(1/4)*(x^8 + 1)^(3/4)*x + sqrt(2)*(x^8 + 2*x^4 + 1))*sqrt((x^8 + 2*x^4 - 4*2^(1/4)*(x^8 + 1)^(1/4)*x^3 + 4*sqrt(2)*sqrt(x^8 + 1)*x^2 - 2*2^(3/4)*(x^8 + 1)^(3/4)*x + 1)/(x^8 + 2*x^4 + 1)))/(x^8 - 2*x^4 + 1)) - 1/32*2^(1/4)*log(2*(x^8 + 2*x^4 + 4*2^(1/4)*(x^8 + 1)^(1/4)*x^3 + 4*sqrt(2)*sqrt(x^8 + 1)*x^2 + 2*2^(3/4)*(x^8 + 1)^(3/4)*x + 1)/(x^8 + 2*x^4 + 1)) + 1/32*2^(1/4)*log(2*(x^8 + 2*x^4 - 4*2^(1/4)*(x^8 + 1)^(1/4)*x^3 + 4*sqrt(2)*sqrt(x^8 + 1)*x^2 - 2*2^(3/4)*(x^8 + 1)^(3/4)*x + 1)/(x^8 + 2*x^4 + 1))","B",0
2100,1,2047,0,13.495518," ","integrate(x^4/(x^4-1)^(1/4)/(x^8+2*x^4-1),x, algorithm=""fricas"")","-\frac{1}{256} \cdot 32^{\frac{7}{8}} \sqrt{2} \arctan\left(-\frac{2080 \, x^{16} - 3968 \, x^{12} + 2112 \, x^{8} - 128 \, x^{4} - \sqrt{2} {\left(32^{\frac{5}{8}} \sqrt{2} {\left(151 \, x^{16} - 392 \, x^{12} + 254 \, x^{8} - 8 \, x^{4} - 1\right)} + 128 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(2^{\frac{3}{4}} {\left(25 \, x^{13} - 26 \, x^{9} - x^{5}\right)} - 2 \cdot 2^{\frac{1}{4}} {\left(11 \, x^{13} - 12 \, x^{9} - x^{5}\right)}\right)} - 8 \cdot 32^{\frac{1}{8}} \sqrt{2} {\left(189 \, x^{16} - 418 \, x^{12} + 236 \, x^{8} - 2 \, x^{4} - 1\right)} + \sqrt{x^{4} - 1} {\left(32^{\frac{7}{8}} \sqrt{2} {\left(91 \, x^{14} - 123 \, x^{10} + 19 \, x^{6} + x^{2}\right)} - 8 \cdot 32^{\frac{3}{8}} \sqrt{2} {\left(86 \, x^{14} - 101 \, x^{10} + 8 \, x^{6} + x^{2}\right)}\right)} + 32 \, {\left(28 \, x^{15} - 6 \, x^{11} - 24 \, x^{7} - 2 \, x^{3} + \sqrt{2} {\left(3 \, x^{15} - 27 \, x^{11} + 27 \, x^{7} + x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{12 \cdot 2^{\frac{3}{4}} {\left(x^{8} + 2 \, x^{4} - 1\right)} + {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(32^{\frac{7}{8}} \sqrt{2} {\left(x^{5} + 2 \, x\right)} + 4 \cdot 32^{\frac{3}{8}} \sqrt{2} {\left(x^{5} + 3 \, x\right)}\right)} + 32 \, {\left(x^{6} + 3 \, x^{2} + \sqrt{2} {\left(x^{6} + 2 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} + 16 \cdot 2^{\frac{1}{4}} {\left(x^{8} + 2 \, x^{4} - 1\right)} + 2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(32^{\frac{5}{8}} \sqrt{2} {\left(x^{7} + 3 \, x^{3}\right)} + 8 \cdot 32^{\frac{1}{8}} \sqrt{2} {\left(x^{7} + 2 \, x^{3}\right)}\right)}}{x^{8} + 2 \, x^{4} - 1}} - 8 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(32^{\frac{5}{8}} \sqrt{2} {\left(81 \, x^{13} - 79 \, x^{9} - 3 \, x^{5} + x\right)} - 8 \cdot 32^{\frac{1}{8}} \sqrt{2} {\left(5 \, x^{13} - 22 \, x^{9} + 11 \, x^{5}\right)}\right)} + 512 \, \sqrt{2} {\left(3 \, x^{16} - 5 \, x^{12} + 3 \, x^{8} - x^{4}\right)} + 128 \, \sqrt{x^{4} - 1} {\left(2^{\frac{3}{4}} {\left(17 \, x^{14} - 30 \, x^{10} + 15 \, x^{6}\right)} + 2^{\frac{1}{4}} {\left(31 \, x^{14} - 33 \, x^{10} + 3 \, x^{6} - x^{2}\right)}\right)} - 4 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(32^{\frac{7}{8}} \sqrt{2} {\left(19 \, x^{15} - 13 \, x^{11} - 9 \, x^{7} + 3 \, x^{3}\right)} - 8 \cdot 32^{\frac{3}{8}} \sqrt{2} {\left(39 \, x^{15} - 82 \, x^{11} + 41 \, x^{7}\right)}\right)} + 32}{32 \, {\left(383 \, x^{16} - 772 \, x^{12} + 382 \, x^{8} + 4 \, x^{4} - 1\right)}}\right) + \frac{1}{256} \cdot 32^{\frac{7}{8}} \sqrt{2} \arctan\left(-\frac{2080 \, x^{16} - 3968 \, x^{12} + 2112 \, x^{8} - 128 \, x^{4} + \sqrt{2} {\left(32^{\frac{5}{8}} \sqrt{2} {\left(151 \, x^{16} - 392 \, x^{12} + 254 \, x^{8} - 8 \, x^{4} - 1\right)} - 128 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(2^{\frac{3}{4}} {\left(25 \, x^{13} - 26 \, x^{9} - x^{5}\right)} - 2 \cdot 2^{\frac{1}{4}} {\left(11 \, x^{13} - 12 \, x^{9} - x^{5}\right)}\right)} - 8 \cdot 32^{\frac{1}{8}} \sqrt{2} {\left(189 \, x^{16} - 418 \, x^{12} + 236 \, x^{8} - 2 \, x^{4} - 1\right)} + \sqrt{x^{4} - 1} {\left(32^{\frac{7}{8}} \sqrt{2} {\left(91 \, x^{14} - 123 \, x^{10} + 19 \, x^{6} + x^{2}\right)} - 8 \cdot 32^{\frac{3}{8}} \sqrt{2} {\left(86 \, x^{14} - 101 \, x^{10} + 8 \, x^{6} + x^{2}\right)}\right)} - 32 \, {\left(28 \, x^{15} - 6 \, x^{11} - 24 \, x^{7} - 2 \, x^{3} + \sqrt{2} {\left(3 \, x^{15} - 27 \, x^{11} + 27 \, x^{7} + x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{12 \cdot 2^{\frac{3}{4}} {\left(x^{8} + 2 \, x^{4} - 1\right)} - {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(32^{\frac{7}{8}} \sqrt{2} {\left(x^{5} + 2 \, x\right)} + 4 \cdot 32^{\frac{3}{8}} \sqrt{2} {\left(x^{5} + 3 \, x\right)}\right)} + 32 \, {\left(x^{6} + 3 \, x^{2} + \sqrt{2} {\left(x^{6} + 2 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} + 16 \cdot 2^{\frac{1}{4}} {\left(x^{8} + 2 \, x^{4} - 1\right)} - 2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(32^{\frac{5}{8}} \sqrt{2} {\left(x^{7} + 3 \, x^{3}\right)} + 8 \cdot 32^{\frac{1}{8}} \sqrt{2} {\left(x^{7} + 2 \, x^{3}\right)}\right)}}{x^{8} + 2 \, x^{4} - 1}} + 8 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(32^{\frac{5}{8}} \sqrt{2} {\left(81 \, x^{13} - 79 \, x^{9} - 3 \, x^{5} + x\right)} - 8 \cdot 32^{\frac{1}{8}} \sqrt{2} {\left(5 \, x^{13} - 22 \, x^{9} + 11 \, x^{5}\right)}\right)} + 512 \, \sqrt{2} {\left(3 \, x^{16} - 5 \, x^{12} + 3 \, x^{8} - x^{4}\right)} + 128 \, \sqrt{x^{4} - 1} {\left(2^{\frac{3}{4}} {\left(17 \, x^{14} - 30 \, x^{10} + 15 \, x^{6}\right)} + 2^{\frac{1}{4}} {\left(31 \, x^{14} - 33 \, x^{10} + 3 \, x^{6} - x^{2}\right)}\right)} + 4 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(32^{\frac{7}{8}} \sqrt{2} {\left(19 \, x^{15} - 13 \, x^{11} - 9 \, x^{7} + 3 \, x^{3}\right)} - 8 \cdot 32^{\frac{3}{8}} \sqrt{2} {\left(39 \, x^{15} - 82 \, x^{11} + 41 \, x^{7}\right)}\right)} + 32}{32 \, {\left(383 \, x^{16} - 772 \, x^{12} + 382 \, x^{8} + 4 \, x^{4} - 1\right)}}\right) - \frac{1}{1024} \cdot 32^{\frac{7}{8}} \sqrt{2} \log\left(\frac{128 \, {\left(12 \cdot 2^{\frac{3}{4}} {\left(x^{8} + 2 \, x^{4} - 1\right)} + {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(32^{\frac{7}{8}} \sqrt{2} {\left(x^{5} + 2 \, x\right)} + 4 \cdot 32^{\frac{3}{8}} \sqrt{2} {\left(x^{5} + 3 \, x\right)}\right)} + 32 \, {\left(x^{6} + 3 \, x^{2} + \sqrt{2} {\left(x^{6} + 2 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} + 16 \cdot 2^{\frac{1}{4}} {\left(x^{8} + 2 \, x^{4} - 1\right)} + 2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(32^{\frac{5}{8}} \sqrt{2} {\left(x^{7} + 3 \, x^{3}\right)} + 8 \cdot 32^{\frac{1}{8}} \sqrt{2} {\left(x^{7} + 2 \, x^{3}\right)}\right)}\right)}}{x^{8} + 2 \, x^{4} - 1}\right) + \frac{1}{1024} \cdot 32^{\frac{7}{8}} \sqrt{2} \log\left(\frac{128 \, {\left(12 \cdot 2^{\frac{3}{4}} {\left(x^{8} + 2 \, x^{4} - 1\right)} - {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(32^{\frac{7}{8}} \sqrt{2} {\left(x^{5} + 2 \, x\right)} + 4 \cdot 32^{\frac{3}{8}} \sqrt{2} {\left(x^{5} + 3 \, x\right)}\right)} + 32 \, {\left(x^{6} + 3 \, x^{2} + \sqrt{2} {\left(x^{6} + 2 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} + 16 \cdot 2^{\frac{1}{4}} {\left(x^{8} + 2 \, x^{4} - 1\right)} - 2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(32^{\frac{5}{8}} \sqrt{2} {\left(x^{7} + 3 \, x^{3}\right)} + 8 \cdot 32^{\frac{1}{8}} \sqrt{2} {\left(x^{7} + 2 \, x^{3}\right)}\right)}\right)}}{x^{8} + 2 \, x^{4} - 1}\right) - \frac{1}{128} \cdot 32^{\frac{7}{8}} \arctan\left(\frac{\sqrt{2} {\left(32^{\frac{5}{8}} {\left(7 \, x^{8} - 6 \, x^{4} + 1\right)} + \sqrt{x^{4} - 1} {\left(32^{\frac{7}{8}} {\left(3 \, x^{6} - x^{2}\right)} + 8 \cdot 32^{\frac{3}{8}} {\left(2 \, x^{6} - x^{2}\right)}\right)} + 8 \cdot 32^{\frac{1}{8}} {\left(5 \, x^{8} - 4 \, x^{4} + 1\right)}\right)} \sqrt{3 \cdot 2^{\frac{3}{4}} - 4 \cdot 2^{\frac{1}{4}}} + 4 \, {\left(8 \cdot 32^{\frac{1}{8}} x^{5} + 32^{\frac{5}{8}} {\left(x^{5} - x\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + 2 \, {\left(8 \cdot 32^{\frac{3}{8}} x^{7} + 32^{\frac{7}{8}} {\left(x^{7} - x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{16 \, {\left(x^{8} + 2 \, x^{4} - 1\right)}}\right) + \frac{1}{512} \cdot 32^{\frac{7}{8}} \log\left(\frac{32^{\frac{7}{8}} {\left(x^{8} + 1\right)} + 32 \, {\left(x^{5} - \sqrt{2} x + x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} - 4 \, \sqrt{x^{4} - 1} {\left(8 \cdot 32^{\frac{1}{8}} x^{2} - 32^{\frac{5}{8}} {\left(x^{6} + x^{2}\right)}\right)} + 4 \cdot 32^{\frac{3}{8}} {\left(x^{8} - 2 \, x^{4} - 1\right)} - 32 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(2^{\frac{3}{4}} x^{3} - 2^{\frac{1}{4}} {\left(x^{7} + x^{3}\right)}\right)}}{x^{8} + 2 \, x^{4} - 1}\right) - \frac{1}{512} \cdot 32^{\frac{7}{8}} \log\left(-\frac{32^{\frac{7}{8}} {\left(x^{8} + 1\right)} - 32 \, {\left(x^{5} - \sqrt{2} x + x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} - 4 \, \sqrt{x^{4} - 1} {\left(8 \cdot 32^{\frac{1}{8}} x^{2} - 32^{\frac{5}{8}} {\left(x^{6} + x^{2}\right)}\right)} + 4 \cdot 32^{\frac{3}{8}} {\left(x^{8} - 2 \, x^{4} - 1\right)} + 32 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(2^{\frac{3}{4}} x^{3} - 2^{\frac{1}{4}} {\left(x^{7} + x^{3}\right)}\right)}}{x^{8} + 2 \, x^{4} - 1}\right)"," ",0,"-1/256*32^(7/8)*sqrt(2)*arctan(-1/32*(2080*x^16 - 3968*x^12 + 2112*x^8 - 128*x^4 - sqrt(2)*(32^(5/8)*sqrt(2)*(151*x^16 - 392*x^12 + 254*x^8 - 8*x^4 - 1) + 128*(x^4 - 1)^(3/4)*(2^(3/4)*(25*x^13 - 26*x^9 - x^5) - 2*2^(1/4)*(11*x^13 - 12*x^9 - x^5)) - 8*32^(1/8)*sqrt(2)*(189*x^16 - 418*x^12 + 236*x^8 - 2*x^4 - 1) + sqrt(x^4 - 1)*(32^(7/8)*sqrt(2)*(91*x^14 - 123*x^10 + 19*x^6 + x^2) - 8*32^(3/8)*sqrt(2)*(86*x^14 - 101*x^10 + 8*x^6 + x^2)) + 32*(28*x^15 - 6*x^11 - 24*x^7 - 2*x^3 + sqrt(2)*(3*x^15 - 27*x^11 + 27*x^7 + x^3))*(x^4 - 1)^(1/4))*sqrt((12*2^(3/4)*(x^8 + 2*x^4 - 1) + (x^4 - 1)^(3/4)*(32^(7/8)*sqrt(2)*(x^5 + 2*x) + 4*32^(3/8)*sqrt(2)*(x^5 + 3*x)) + 32*(x^6 + 3*x^2 + sqrt(2)*(x^6 + 2*x^2))*sqrt(x^4 - 1) + 16*2^(1/4)*(x^8 + 2*x^4 - 1) + 2*(x^4 - 1)^(1/4)*(32^(5/8)*sqrt(2)*(x^7 + 3*x^3) + 8*32^(1/8)*sqrt(2)*(x^7 + 2*x^3)))/(x^8 + 2*x^4 - 1)) - 8*(x^4 - 1)^(3/4)*(32^(5/8)*sqrt(2)*(81*x^13 - 79*x^9 - 3*x^5 + x) - 8*32^(1/8)*sqrt(2)*(5*x^13 - 22*x^9 + 11*x^5)) + 512*sqrt(2)*(3*x^16 - 5*x^12 + 3*x^8 - x^4) + 128*sqrt(x^4 - 1)*(2^(3/4)*(17*x^14 - 30*x^10 + 15*x^6) + 2^(1/4)*(31*x^14 - 33*x^10 + 3*x^6 - x^2)) - 4*(x^4 - 1)^(1/4)*(32^(7/8)*sqrt(2)*(19*x^15 - 13*x^11 - 9*x^7 + 3*x^3) - 8*32^(3/8)*sqrt(2)*(39*x^15 - 82*x^11 + 41*x^7)) + 32)/(383*x^16 - 772*x^12 + 382*x^8 + 4*x^4 - 1)) + 1/256*32^(7/8)*sqrt(2)*arctan(-1/32*(2080*x^16 - 3968*x^12 + 2112*x^8 - 128*x^4 + sqrt(2)*(32^(5/8)*sqrt(2)*(151*x^16 - 392*x^12 + 254*x^8 - 8*x^4 - 1) - 128*(x^4 - 1)^(3/4)*(2^(3/4)*(25*x^13 - 26*x^9 - x^5) - 2*2^(1/4)*(11*x^13 - 12*x^9 - x^5)) - 8*32^(1/8)*sqrt(2)*(189*x^16 - 418*x^12 + 236*x^8 - 2*x^4 - 1) + sqrt(x^4 - 1)*(32^(7/8)*sqrt(2)*(91*x^14 - 123*x^10 + 19*x^6 + x^2) - 8*32^(3/8)*sqrt(2)*(86*x^14 - 101*x^10 + 8*x^6 + x^2)) - 32*(28*x^15 - 6*x^11 - 24*x^7 - 2*x^3 + sqrt(2)*(3*x^15 - 27*x^11 + 27*x^7 + x^3))*(x^4 - 1)^(1/4))*sqrt((12*2^(3/4)*(x^8 + 2*x^4 - 1) - (x^4 - 1)^(3/4)*(32^(7/8)*sqrt(2)*(x^5 + 2*x) + 4*32^(3/8)*sqrt(2)*(x^5 + 3*x)) + 32*(x^6 + 3*x^2 + sqrt(2)*(x^6 + 2*x^2))*sqrt(x^4 - 1) + 16*2^(1/4)*(x^8 + 2*x^4 - 1) - 2*(x^4 - 1)^(1/4)*(32^(5/8)*sqrt(2)*(x^7 + 3*x^3) + 8*32^(1/8)*sqrt(2)*(x^7 + 2*x^3)))/(x^8 + 2*x^4 - 1)) + 8*(x^4 - 1)^(3/4)*(32^(5/8)*sqrt(2)*(81*x^13 - 79*x^9 - 3*x^5 + x) - 8*32^(1/8)*sqrt(2)*(5*x^13 - 22*x^9 + 11*x^5)) + 512*sqrt(2)*(3*x^16 - 5*x^12 + 3*x^8 - x^4) + 128*sqrt(x^4 - 1)*(2^(3/4)*(17*x^14 - 30*x^10 + 15*x^6) + 2^(1/4)*(31*x^14 - 33*x^10 + 3*x^6 - x^2)) + 4*(x^4 - 1)^(1/4)*(32^(7/8)*sqrt(2)*(19*x^15 - 13*x^11 - 9*x^7 + 3*x^3) - 8*32^(3/8)*sqrt(2)*(39*x^15 - 82*x^11 + 41*x^7)) + 32)/(383*x^16 - 772*x^12 + 382*x^8 + 4*x^4 - 1)) - 1/1024*32^(7/8)*sqrt(2)*log(128*(12*2^(3/4)*(x^8 + 2*x^4 - 1) + (x^4 - 1)^(3/4)*(32^(7/8)*sqrt(2)*(x^5 + 2*x) + 4*32^(3/8)*sqrt(2)*(x^5 + 3*x)) + 32*(x^6 + 3*x^2 + sqrt(2)*(x^6 + 2*x^2))*sqrt(x^4 - 1) + 16*2^(1/4)*(x^8 + 2*x^4 - 1) + 2*(x^4 - 1)^(1/4)*(32^(5/8)*sqrt(2)*(x^7 + 3*x^3) + 8*32^(1/8)*sqrt(2)*(x^7 + 2*x^3)))/(x^8 + 2*x^4 - 1)) + 1/1024*32^(7/8)*sqrt(2)*log(128*(12*2^(3/4)*(x^8 + 2*x^4 - 1) - (x^4 - 1)^(3/4)*(32^(7/8)*sqrt(2)*(x^5 + 2*x) + 4*32^(3/8)*sqrt(2)*(x^5 + 3*x)) + 32*(x^6 + 3*x^2 + sqrt(2)*(x^6 + 2*x^2))*sqrt(x^4 - 1) + 16*2^(1/4)*(x^8 + 2*x^4 - 1) - 2*(x^4 - 1)^(1/4)*(32^(5/8)*sqrt(2)*(x^7 + 3*x^3) + 8*32^(1/8)*sqrt(2)*(x^7 + 2*x^3)))/(x^8 + 2*x^4 - 1)) - 1/128*32^(7/8)*arctan(1/16*(sqrt(2)*(32^(5/8)*(7*x^8 - 6*x^4 + 1) + sqrt(x^4 - 1)*(32^(7/8)*(3*x^6 - x^2) + 8*32^(3/8)*(2*x^6 - x^2)) + 8*32^(1/8)*(5*x^8 - 4*x^4 + 1))*sqrt(3*2^(3/4) - 4*2^(1/4)) + 4*(8*32^(1/8)*x^5 + 32^(5/8)*(x^5 - x))*(x^4 - 1)^(3/4) + 2*(8*32^(3/8)*x^7 + 32^(7/8)*(x^7 - x^3))*(x^4 - 1)^(1/4))/(x^8 + 2*x^4 - 1)) + 1/512*32^(7/8)*log((32^(7/8)*(x^8 + 1) + 32*(x^5 - sqrt(2)*x + x)*(x^4 - 1)^(3/4) - 4*sqrt(x^4 - 1)*(8*32^(1/8)*x^2 - 32^(5/8)*(x^6 + x^2)) + 4*32^(3/8)*(x^8 - 2*x^4 - 1) - 32*(x^4 - 1)^(1/4)*(2^(3/4)*x^3 - 2^(1/4)*(x^7 + x^3)))/(x^8 + 2*x^4 - 1)) - 1/512*32^(7/8)*log(-(32^(7/8)*(x^8 + 1) - 32*(x^5 - sqrt(2)*x + x)*(x^4 - 1)^(3/4) - 4*sqrt(x^4 - 1)*(8*32^(1/8)*x^2 - 32^(5/8)*(x^6 + x^2)) + 4*32^(3/8)*(x^8 - 2*x^4 - 1) + 32*(x^4 - 1)^(1/4)*(2^(3/4)*x^3 - 2^(1/4)*(x^7 + x^3)))/(x^8 + 2*x^4 - 1))","B",0
2101,1,1933,0,12.399685," ","integrate((x^4-1)^(3/4)/(x^8+2*x^4-1),x, algorithm=""fricas"")","-\frac{1}{8} \cdot 2^{\frac{7}{8}} \arctan\left(\frac{4 \, {\left(2^{\frac{5}{8}} x^{5} + 2^{\frac{1}{8}} {\left(x^{5} - x\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + {\left(2^{\frac{5}{8}} {\left(5 \, x^{8} - 4 \, x^{4} + 1\right)} + 2 \, \sqrt{x^{4} - 1} {\left(2^{\frac{7}{8}} {\left(2 \, x^{6} - x^{2}\right)} + 2^{\frac{3}{8}} {\left(3 \, x^{6} - x^{2}\right)}\right)} + 2^{\frac{1}{8}} {\left(7 \, x^{8} - 6 \, x^{4} + 1\right)}\right)} \sqrt{6 \cdot 2^{\frac{3}{4}} - 8 \cdot 2^{\frac{1}{4}}} + 4 \, {\left(2^{\frac{7}{8}} x^{7} + 2^{\frac{3}{8}} {\left(x^{7} - x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{2 \, {\left(x^{8} + 2 \, x^{4} - 1\right)}}\right) + \frac{1}{32} \cdot 2^{\frac{7}{8}} \log\left(\frac{2^{\frac{7}{8}} {\left(x^{8} - 2 \, x^{4} - 1\right)} + 4 \, {\left(x^{5} - \sqrt{2} x + x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} - 4 \, \sqrt{x^{4} - 1} {\left(2^{\frac{5}{8}} x^{2} - 2^{\frac{1}{8}} {\left(x^{6} + x^{2}\right)}\right)} + 2 \cdot 2^{\frac{3}{8}} {\left(x^{8} + 1\right)} - 4 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(2^{\frac{3}{4}} x^{3} - 2^{\frac{1}{4}} {\left(x^{7} + x^{3}\right)}\right)}}{x^{8} + 2 \, x^{4} - 1}\right) - \frac{1}{32} \cdot 2^{\frac{7}{8}} \log\left(-\frac{2^{\frac{7}{8}} {\left(x^{8} - 2 \, x^{4} - 1\right)} - 4 \, {\left(x^{5} - \sqrt{2} x + x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} - 4 \, \sqrt{x^{4} - 1} {\left(2^{\frac{5}{8}} x^{2} - 2^{\frac{1}{8}} {\left(x^{6} + x^{2}\right)}\right)} + 2 \cdot 2^{\frac{3}{8}} {\left(x^{8} + 1\right)} + 4 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(2^{\frac{3}{4}} x^{3} - 2^{\frac{1}{4}} {\left(x^{7} + x^{3}\right)}\right)}}{x^{8} + 2 \, x^{4} - 1}\right) + \frac{1}{8} \cdot 2^{\frac{3}{8}} \arctan\left(-\frac{130 \, x^{16} - 248 \, x^{12} + 132 \, x^{8} - 8 \, x^{4} - \sqrt{2} {\left(16 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(2^{\frac{3}{4}} {\left(25 \, x^{13} - 26 \, x^{9} - x^{5}\right)} - 2 \cdot 2^{\frac{1}{4}} {\left(11 \, x^{13} - 12 \, x^{9} - x^{5}\right)}\right)} + 2^{\frac{5}{8}} {\left(151 \, x^{16} - 392 \, x^{12} + 254 \, x^{8} - 8 \, x^{4} - 1\right)} + 2 \, \sqrt{x^{4} - 1} {\left(2^{\frac{7}{8}} {\left(91 \, x^{14} - 123 \, x^{10} + 19 \, x^{6} + x^{2}\right)} - 2 \cdot 2^{\frac{3}{8}} {\left(86 \, x^{14} - 101 \, x^{10} + 8 \, x^{6} + x^{2}\right)}\right)} + 4 \, {\left(28 \, x^{15} - 6 \, x^{11} - 24 \, x^{7} - 2 \, x^{3} + \sqrt{2} {\left(3 \, x^{15} - 27 \, x^{11} + 27 \, x^{7} + x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} - 2 \cdot 2^{\frac{1}{8}} {\left(189 \, x^{16} - 418 \, x^{12} + 236 \, x^{8} - 2 \, x^{4} - 1\right)}\right)} \sqrt{\frac{3 \cdot 2^{\frac{3}{4}} {\left(x^{8} + 2 \, x^{4} - 1\right)} + 4 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(2^{\frac{7}{8}} {\left(x^{5} + 2 \, x\right)} + 2^{\frac{3}{8}} {\left(x^{5} + 3 \, x\right)}\right)} + 8 \, {\left(x^{6} + 3 \, x^{2} + \sqrt{2} {\left(x^{6} + 2 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{8} + 2 \, x^{4} - 1\right)} + 4 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(2^{\frac{5}{8}} {\left(x^{7} + 3 \, x^{3}\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(x^{7} + 2 \, x^{3}\right)}\right)}}{x^{8} + 2 \, x^{4} - 1}} - 4 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(2^{\frac{5}{8}} {\left(81 \, x^{13} - 79 \, x^{9} - 3 \, x^{5} + x\right)} - 2 \cdot 2^{\frac{1}{8}} {\left(5 \, x^{13} - 22 \, x^{9} + 11 \, x^{5}\right)}\right)} + 32 \, \sqrt{2} {\left(3 \, x^{16} - 5 \, x^{12} + 3 \, x^{8} - x^{4}\right)} + 8 \, \sqrt{x^{4} - 1} {\left(2^{\frac{3}{4}} {\left(17 \, x^{14} - 30 \, x^{10} + 15 \, x^{6}\right)} + 2^{\frac{1}{4}} {\left(31 \, x^{14} - 33 \, x^{10} + 3 \, x^{6} - x^{2}\right)}\right)} - 4 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(2^{\frac{7}{8}} {\left(19 \, x^{15} - 13 \, x^{11} - 9 \, x^{7} + 3 \, x^{3}\right)} - 2 \cdot 2^{\frac{3}{8}} {\left(39 \, x^{15} - 82 \, x^{11} + 41 \, x^{7}\right)}\right)} + 2}{2 \, {\left(383 \, x^{16} - 772 \, x^{12} + 382 \, x^{8} + 4 \, x^{4} - 1\right)}}\right) - \frac{1}{8} \cdot 2^{\frac{3}{8}} \arctan\left(-\frac{130 \, x^{16} - 248 \, x^{12} + 132 \, x^{8} - 8 \, x^{4} - \sqrt{2} {\left(16 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(2^{\frac{3}{4}} {\left(25 \, x^{13} - 26 \, x^{9} - x^{5}\right)} - 2 \cdot 2^{\frac{1}{4}} {\left(11 \, x^{13} - 12 \, x^{9} - x^{5}\right)}\right)} - 2^{\frac{5}{8}} {\left(151 \, x^{16} - 392 \, x^{12} + 254 \, x^{8} - 8 \, x^{4} - 1\right)} - 2 \, \sqrt{x^{4} - 1} {\left(2^{\frac{7}{8}} {\left(91 \, x^{14} - 123 \, x^{10} + 19 \, x^{6} + x^{2}\right)} - 2 \cdot 2^{\frac{3}{8}} {\left(86 \, x^{14} - 101 \, x^{10} + 8 \, x^{6} + x^{2}\right)}\right)} + 4 \, {\left(28 \, x^{15} - 6 \, x^{11} - 24 \, x^{7} - 2 \, x^{3} + \sqrt{2} {\left(3 \, x^{15} - 27 \, x^{11} + 27 \, x^{7} + x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + 2 \cdot 2^{\frac{1}{8}} {\left(189 \, x^{16} - 418 \, x^{12} + 236 \, x^{8} - 2 \, x^{4} - 1\right)}\right)} \sqrt{\frac{3 \cdot 2^{\frac{3}{4}} {\left(x^{8} + 2 \, x^{4} - 1\right)} - 4 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(2^{\frac{7}{8}} {\left(x^{5} + 2 \, x\right)} + 2^{\frac{3}{8}} {\left(x^{5} + 3 \, x\right)}\right)} + 8 \, {\left(x^{6} + 3 \, x^{2} + \sqrt{2} {\left(x^{6} + 2 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{8} + 2 \, x^{4} - 1\right)} - 4 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(2^{\frac{5}{8}} {\left(x^{7} + 3 \, x^{3}\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(x^{7} + 2 \, x^{3}\right)}\right)}}{x^{8} + 2 \, x^{4} - 1}} + 4 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(2^{\frac{5}{8}} {\left(81 \, x^{13} - 79 \, x^{9} - 3 \, x^{5} + x\right)} - 2 \cdot 2^{\frac{1}{8}} {\left(5 \, x^{13} - 22 \, x^{9} + 11 \, x^{5}\right)}\right)} + 32 \, \sqrt{2} {\left(3 \, x^{16} - 5 \, x^{12} + 3 \, x^{8} - x^{4}\right)} + 8 \, \sqrt{x^{4} - 1} {\left(2^{\frac{3}{4}} {\left(17 \, x^{14} - 30 \, x^{10} + 15 \, x^{6}\right)} + 2^{\frac{1}{4}} {\left(31 \, x^{14} - 33 \, x^{10} + 3 \, x^{6} - x^{2}\right)}\right)} + 4 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(2^{\frac{7}{8}} {\left(19 \, x^{15} - 13 \, x^{11} - 9 \, x^{7} + 3 \, x^{3}\right)} - 2 \cdot 2^{\frac{3}{8}} {\left(39 \, x^{15} - 82 \, x^{11} + 41 \, x^{7}\right)}\right)} + 2}{2 \, {\left(383 \, x^{16} - 772 \, x^{12} + 382 \, x^{8} + 4 \, x^{4} - 1\right)}}\right) + \frac{1}{32} \cdot 2^{\frac{3}{8}} \log\left(\frac{8 \, {\left(3 \cdot 2^{\frac{3}{4}} {\left(x^{8} + 2 \, x^{4} - 1\right)} + 4 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(2^{\frac{7}{8}} {\left(x^{5} + 2 \, x\right)} + 2^{\frac{3}{8}} {\left(x^{5} + 3 \, x\right)}\right)} + 8 \, {\left(x^{6} + 3 \, x^{2} + \sqrt{2} {\left(x^{6} + 2 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{8} + 2 \, x^{4} - 1\right)} + 4 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(2^{\frac{5}{8}} {\left(x^{7} + 3 \, x^{3}\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(x^{7} + 2 \, x^{3}\right)}\right)}\right)}}{x^{8} + 2 \, x^{4} - 1}\right) - \frac{1}{32} \cdot 2^{\frac{3}{8}} \log\left(\frac{8 \, {\left(3 \cdot 2^{\frac{3}{4}} {\left(x^{8} + 2 \, x^{4} - 1\right)} - 4 \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} {\left(2^{\frac{7}{8}} {\left(x^{5} + 2 \, x\right)} + 2^{\frac{3}{8}} {\left(x^{5} + 3 \, x\right)}\right)} + 8 \, {\left(x^{6} + 3 \, x^{2} + \sqrt{2} {\left(x^{6} + 2 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{8} + 2 \, x^{4} - 1\right)} - 4 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(2^{\frac{5}{8}} {\left(x^{7} + 3 \, x^{3}\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(x^{7} + 2 \, x^{3}\right)}\right)}\right)}}{x^{8} + 2 \, x^{4} - 1}\right)"," ",0,"-1/8*2^(7/8)*arctan(1/2*(4*(2^(5/8)*x^5 + 2^(1/8)*(x^5 - x))*(x^4 - 1)^(3/4) + (2^(5/8)*(5*x^8 - 4*x^4 + 1) + 2*sqrt(x^4 - 1)*(2^(7/8)*(2*x^6 - x^2) + 2^(3/8)*(3*x^6 - x^2)) + 2^(1/8)*(7*x^8 - 6*x^4 + 1))*sqrt(6*2^(3/4) - 8*2^(1/4)) + 4*(2^(7/8)*x^7 + 2^(3/8)*(x^7 - x^3))*(x^4 - 1)^(1/4))/(x^8 + 2*x^4 - 1)) + 1/32*2^(7/8)*log((2^(7/8)*(x^8 - 2*x^4 - 1) + 4*(x^5 - sqrt(2)*x + x)*(x^4 - 1)^(3/4) - 4*sqrt(x^4 - 1)*(2^(5/8)*x^2 - 2^(1/8)*(x^6 + x^2)) + 2*2^(3/8)*(x^8 + 1) - 4*(x^4 - 1)^(1/4)*(2^(3/4)*x^3 - 2^(1/4)*(x^7 + x^3)))/(x^8 + 2*x^4 - 1)) - 1/32*2^(7/8)*log(-(2^(7/8)*(x^8 - 2*x^4 - 1) - 4*(x^5 - sqrt(2)*x + x)*(x^4 - 1)^(3/4) - 4*sqrt(x^4 - 1)*(2^(5/8)*x^2 - 2^(1/8)*(x^6 + x^2)) + 2*2^(3/8)*(x^8 + 1) + 4*(x^4 - 1)^(1/4)*(2^(3/4)*x^3 - 2^(1/4)*(x^7 + x^3)))/(x^8 + 2*x^4 - 1)) + 1/8*2^(3/8)*arctan(-1/2*(130*x^16 - 248*x^12 + 132*x^8 - 8*x^4 - sqrt(2)*(16*(x^4 - 1)^(3/4)*(2^(3/4)*(25*x^13 - 26*x^9 - x^5) - 2*2^(1/4)*(11*x^13 - 12*x^9 - x^5)) + 2^(5/8)*(151*x^16 - 392*x^12 + 254*x^8 - 8*x^4 - 1) + 2*sqrt(x^4 - 1)*(2^(7/8)*(91*x^14 - 123*x^10 + 19*x^6 + x^2) - 2*2^(3/8)*(86*x^14 - 101*x^10 + 8*x^6 + x^2)) + 4*(28*x^15 - 6*x^11 - 24*x^7 - 2*x^3 + sqrt(2)*(3*x^15 - 27*x^11 + 27*x^7 + x^3))*(x^4 - 1)^(1/4) - 2*2^(1/8)*(189*x^16 - 418*x^12 + 236*x^8 - 2*x^4 - 1))*sqrt((3*2^(3/4)*(x^8 + 2*x^4 - 1) + 4*(x^4 - 1)^(3/4)*(2^(7/8)*(x^5 + 2*x) + 2^(3/8)*(x^5 + 3*x)) + 8*(x^6 + 3*x^2 + sqrt(2)*(x^6 + 2*x^2))*sqrt(x^4 - 1) + 4*2^(1/4)*(x^8 + 2*x^4 - 1) + 4*(x^4 - 1)^(1/4)*(2^(5/8)*(x^7 + 3*x^3) + 2*2^(1/8)*(x^7 + 2*x^3)))/(x^8 + 2*x^4 - 1)) - 4*(x^4 - 1)^(3/4)*(2^(5/8)*(81*x^13 - 79*x^9 - 3*x^5 + x) - 2*2^(1/8)*(5*x^13 - 22*x^9 + 11*x^5)) + 32*sqrt(2)*(3*x^16 - 5*x^12 + 3*x^8 - x^4) + 8*sqrt(x^4 - 1)*(2^(3/4)*(17*x^14 - 30*x^10 + 15*x^6) + 2^(1/4)*(31*x^14 - 33*x^10 + 3*x^6 - x^2)) - 4*(x^4 - 1)^(1/4)*(2^(7/8)*(19*x^15 - 13*x^11 - 9*x^7 + 3*x^3) - 2*2^(3/8)*(39*x^15 - 82*x^11 + 41*x^7)) + 2)/(383*x^16 - 772*x^12 + 382*x^8 + 4*x^4 - 1)) - 1/8*2^(3/8)*arctan(-1/2*(130*x^16 - 248*x^12 + 132*x^8 - 8*x^4 - sqrt(2)*(16*(x^4 - 1)^(3/4)*(2^(3/4)*(25*x^13 - 26*x^9 - x^5) - 2*2^(1/4)*(11*x^13 - 12*x^9 - x^5)) - 2^(5/8)*(151*x^16 - 392*x^12 + 254*x^8 - 8*x^4 - 1) - 2*sqrt(x^4 - 1)*(2^(7/8)*(91*x^14 - 123*x^10 + 19*x^6 + x^2) - 2*2^(3/8)*(86*x^14 - 101*x^10 + 8*x^6 + x^2)) + 4*(28*x^15 - 6*x^11 - 24*x^7 - 2*x^3 + sqrt(2)*(3*x^15 - 27*x^11 + 27*x^7 + x^3))*(x^4 - 1)^(1/4) + 2*2^(1/8)*(189*x^16 - 418*x^12 + 236*x^8 - 2*x^4 - 1))*sqrt((3*2^(3/4)*(x^8 + 2*x^4 - 1) - 4*(x^4 - 1)^(3/4)*(2^(7/8)*(x^5 + 2*x) + 2^(3/8)*(x^5 + 3*x)) + 8*(x^6 + 3*x^2 + sqrt(2)*(x^6 + 2*x^2))*sqrt(x^4 - 1) + 4*2^(1/4)*(x^8 + 2*x^4 - 1) - 4*(x^4 - 1)^(1/4)*(2^(5/8)*(x^7 + 3*x^3) + 2*2^(1/8)*(x^7 + 2*x^3)))/(x^8 + 2*x^4 - 1)) + 4*(x^4 - 1)^(3/4)*(2^(5/8)*(81*x^13 - 79*x^9 - 3*x^5 + x) - 2*2^(1/8)*(5*x^13 - 22*x^9 + 11*x^5)) + 32*sqrt(2)*(3*x^16 - 5*x^12 + 3*x^8 - x^4) + 8*sqrt(x^4 - 1)*(2^(3/4)*(17*x^14 - 30*x^10 + 15*x^6) + 2^(1/4)*(31*x^14 - 33*x^10 + 3*x^6 - x^2)) + 4*(x^4 - 1)^(1/4)*(2^(7/8)*(19*x^15 - 13*x^11 - 9*x^7 + 3*x^3) - 2*2^(3/8)*(39*x^15 - 82*x^11 + 41*x^7)) + 2)/(383*x^16 - 772*x^12 + 382*x^8 + 4*x^4 - 1)) + 1/32*2^(3/8)*log(8*(3*2^(3/4)*(x^8 + 2*x^4 - 1) + 4*(x^4 - 1)^(3/4)*(2^(7/8)*(x^5 + 2*x) + 2^(3/8)*(x^5 + 3*x)) + 8*(x^6 + 3*x^2 + sqrt(2)*(x^6 + 2*x^2))*sqrt(x^4 - 1) + 4*2^(1/4)*(x^8 + 2*x^4 - 1) + 4*(x^4 - 1)^(1/4)*(2^(5/8)*(x^7 + 3*x^3) + 2*2^(1/8)*(x^7 + 2*x^3)))/(x^8 + 2*x^4 - 1)) - 1/32*2^(3/8)*log(8*(3*2^(3/4)*(x^8 + 2*x^4 - 1) - 4*(x^4 - 1)^(3/4)*(2^(7/8)*(x^5 + 2*x) + 2^(3/8)*(x^5 + 3*x)) + 8*(x^6 + 3*x^2 + sqrt(2)*(x^6 + 2*x^2))*sqrt(x^4 - 1) + 4*2^(1/4)*(x^8 + 2*x^4 - 1) - 4*(x^4 - 1)^(1/4)*(2^(5/8)*(x^7 + 3*x^3) + 2*2^(1/8)*(x^7 + 2*x^3)))/(x^8 + 2*x^4 - 1))","B",0
2102,1,520,0,21.352978," ","integrate((x^4+1)/(x^4-1)/(1+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{4 \, x \sqrt{\sqrt{2} + 1} \arctan\left(-\frac{{\left(71 \, x^{5} - 874 \, x^{3} - \sqrt{2} {\left(61 \, x^{5} - 548 \, x^{3} - 81 \, x\right)} - 2 \, {\left(51 \, x^{3} - 2 \, \sqrt{2} {\left(5 \, x^{3} - 127 \, x\right)} - 335 \, x\right)} \sqrt{x^{2} + 1} - 173 \, x\right)} \sqrt{3821 \, \sqrt{2} + 4841} \sqrt{\sqrt{2} + 1} - 4802 \, {\left(x^{4} - 6 \, x^{2} + \sqrt{2} {\left(3 \, x^{2} + 1\right)} + {\left(x^{2} + \sqrt{2} {\left(x^{2} - 1\right)} + 3\right)} \sqrt{x^{2} + 1} - 3\right)} \sqrt{\sqrt{2} + 1} \sqrt{\sqrt{x^{2} + 1} + 1}}{2401 \, {\left(x^{5} - 10 \, x^{3} - 7 \, x\right)}}\right) - 4 \, \sqrt{2} x \arctan\left(\frac{\sqrt{2} \sqrt{\sqrt{x^{2} + 1} + 1}}{x}\right) + x \sqrt{\sqrt{2} - 1} \log\left(-\frac{{\left(51 \, x^{3} - 2 \, \sqrt{2} {\left(5 \, x^{3} + 66 \, x\right)} + 2 \, \sqrt{x^{2} + 1} {\left(61 \, \sqrt{2} x - 71 \, x\right)} + 193 \, x\right)} \sqrt{\sqrt{2} - 1} + 2 \, {\left(71 \, x^{2} - \sqrt{2} {\left(61 \, x^{2} + 132\right)} + \sqrt{x^{2} + 1} {\left(132 \, \sqrt{2} - 193\right)} + 193\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{x^{3} - x}\right) - x \sqrt{\sqrt{2} - 1} \log\left(\frac{{\left(51 \, x^{3} - 2 \, \sqrt{2} {\left(5 \, x^{3} + 66 \, x\right)} + 2 \, \sqrt{x^{2} + 1} {\left(61 \, \sqrt{2} x - 71 \, x\right)} + 193 \, x\right)} \sqrt{\sqrt{2} - 1} - 2 \, {\left(71 \, x^{2} - \sqrt{2} {\left(61 \, x^{2} + 132\right)} + \sqrt{x^{2} + 1} {\left(132 \, \sqrt{2} - 193\right)} + 193\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{x^{3} - x}\right) + 2 \, x \arctan\left(\frac{4 \, {\left(x^{4} - 12 \, x^{2} + {\left(5 \, x^{2} - 3\right)} \sqrt{x^{2} + 1} + 3\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{x^{5} - 46 \, x^{3} + 17 \, x}\right) + 8 \, \sqrt{\sqrt{x^{2} + 1} + 1} {\left(\sqrt{x^{2} + 1} - 1\right)}}{4 \, x}"," ",0,"1/4*(4*x*sqrt(sqrt(2) + 1)*arctan(-1/2401*((71*x^5 - 874*x^3 - sqrt(2)*(61*x^5 - 548*x^3 - 81*x) - 2*(51*x^3 - 2*sqrt(2)*(5*x^3 - 127*x) - 335*x)*sqrt(x^2 + 1) - 173*x)*sqrt(3821*sqrt(2) + 4841)*sqrt(sqrt(2) + 1) - 4802*(x^4 - 6*x^2 + sqrt(2)*(3*x^2 + 1) + (x^2 + sqrt(2)*(x^2 - 1) + 3)*sqrt(x^2 + 1) - 3)*sqrt(sqrt(2) + 1)*sqrt(sqrt(x^2 + 1) + 1))/(x^5 - 10*x^3 - 7*x)) - 4*sqrt(2)*x*arctan(sqrt(2)*sqrt(sqrt(x^2 + 1) + 1)/x) + x*sqrt(sqrt(2) - 1)*log(-((51*x^3 - 2*sqrt(2)*(5*x^3 + 66*x) + 2*sqrt(x^2 + 1)*(61*sqrt(2)*x - 71*x) + 193*x)*sqrt(sqrt(2) - 1) + 2*(71*x^2 - sqrt(2)*(61*x^2 + 132) + sqrt(x^2 + 1)*(132*sqrt(2) - 193) + 193)*sqrt(sqrt(x^2 + 1) + 1))/(x^3 - x)) - x*sqrt(sqrt(2) - 1)*log(((51*x^3 - 2*sqrt(2)*(5*x^3 + 66*x) + 2*sqrt(x^2 + 1)*(61*sqrt(2)*x - 71*x) + 193*x)*sqrt(sqrt(2) - 1) - 2*(71*x^2 - sqrt(2)*(61*x^2 + 132) + sqrt(x^2 + 1)*(132*sqrt(2) - 193) + 193)*sqrt(sqrt(x^2 + 1) + 1))/(x^3 - x)) + 2*x*arctan(4*(x^4 - 12*x^2 + (5*x^2 - 3)*sqrt(x^2 + 1) + 3)*sqrt(sqrt(x^2 + 1) + 1)/(x^5 - 46*x^3 + 17*x)) + 8*sqrt(sqrt(x^2 + 1) + 1)*(sqrt(x^2 + 1) - 1))/x","B",0
2103,1,212,0,0.465662," ","integrate(1/x^3/(a*x^2-b)^(3/4),x, algorithm=""fricas"")","\frac{12 \, b x^{2} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{2} - b\right)}^{\frac{1}{4}} a b^{5} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{3}{4}} - \sqrt{b^{4} \sqrt{-\frac{a^{4}}{b^{7}}} + \sqrt{a x^{2} - b} a^{2}} b^{5} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{3}{4}}}{a^{4}}\right) + 3 \, b x^{2} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \log\left(3 \, b^{2} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} + 3 \, {\left(a x^{2} - b\right)}^{\frac{1}{4}} a\right) - 3 \, b x^{2} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \log\left(-3 \, b^{2} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} + 3 \, {\left(a x^{2} - b\right)}^{\frac{1}{4}} a\right) + 4 \, {\left(a x^{2} - b\right)}^{\frac{1}{4}}}{8 \, b x^{2}}"," ",0,"1/8*(12*b*x^2*(-a^4/b^7)^(1/4)*arctan(-((a*x^2 - b)^(1/4)*a*b^5*(-a^4/b^7)^(3/4) - sqrt(b^4*sqrt(-a^4/b^7) + sqrt(a*x^2 - b)*a^2)*b^5*(-a^4/b^7)^(3/4))/a^4) + 3*b*x^2*(-a^4/b^7)^(1/4)*log(3*b^2*(-a^4/b^7)^(1/4) + 3*(a*x^2 - b)^(1/4)*a) - 3*b*x^2*(-a^4/b^7)^(1/4)*log(-3*b^2*(-a^4/b^7)^(1/4) + 3*(a*x^2 - b)^(1/4)*a) + 4*(a*x^2 - b)^(1/4))/(b*x^2)","A",0
2104,-1,0,0,0.000000," ","integrate((a*b-2*b*x+x^2)/(x*(-a+x)*(-b+x)^3)^(1/4)/(b-(a*d+1)*x+d*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2105,1,209,0,0.636888," ","integrate(1/x^4/(a*x^3-b)^(3/4),x, algorithm=""fricas"")","\frac{12 \, b x^{3} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{3} - b\right)}^{\frac{1}{4}} a b^{5} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{3}{4}} - \sqrt{b^{4} \sqrt{-\frac{a^{4}}{b^{7}}} + \sqrt{a x^{3} - b} a^{2}} b^{5} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{3}{4}}}{a^{4}}\right) + 3 \, b x^{3} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \log\left(b^{2} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} + {\left(a x^{3} - b\right)}^{\frac{1}{4}} a\right) - 3 \, b x^{3} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \log\left(-b^{2} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} + {\left(a x^{3} - b\right)}^{\frac{1}{4}} a\right) + 4 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}}{12 \, b x^{3}}"," ",0,"1/12*(12*b*x^3*(-a^4/b^7)^(1/4)*arctan(-((a*x^3 - b)^(1/4)*a*b^5*(-a^4/b^7)^(3/4) - sqrt(b^4*sqrt(-a^4/b^7) + sqrt(a*x^3 - b)*a^2)*b^5*(-a^4/b^7)^(3/4))/a^4) + 3*b*x^3*(-a^4/b^7)^(1/4)*log(b^2*(-a^4/b^7)^(1/4) + (a*x^3 - b)^(1/4)*a) - 3*b*x^3*(-a^4/b^7)^(1/4)*log(-b^2*(-a^4/b^7)^(1/4) + (a*x^3 - b)^(1/4)*a) + 4*(a*x^3 - b)^(1/4))/(b*x^3)","A",0
2106,1,214,0,0.551475," ","integrate(1/x^4/(a*x^3-b)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, b x^{3} \left(-\frac{a^{4}}{b^{5}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{3} - b\right)}^{\frac{1}{4}} a^{3} b \left(-\frac{a^{4}}{b^{5}}\right)^{\frac{1}{4}} - \sqrt{-a^{4} b^{3} \sqrt{-\frac{a^{4}}{b^{5}}} + \sqrt{a x^{3} - b} a^{6}} b \left(-\frac{a^{4}}{b^{5}}\right)^{\frac{1}{4}}}{a^{4}}\right) - b x^{3} \left(-\frac{a^{4}}{b^{5}}\right)^{\frac{1}{4}} \log\left(b^{4} \left(-\frac{a^{4}}{b^{5}}\right)^{\frac{3}{4}} + {\left(a x^{3} - b\right)}^{\frac{1}{4}} a^{3}\right) + b x^{3} \left(-\frac{a^{4}}{b^{5}}\right)^{\frac{1}{4}} \log\left(-b^{4} \left(-\frac{a^{4}}{b^{5}}\right)^{\frac{3}{4}} + {\left(a x^{3} - b\right)}^{\frac{1}{4}} a^{3}\right) - 4 \, {\left(a x^{3} - b\right)}^{\frac{3}{4}}}{12 \, b x^{3}}"," ",0,"-1/12*(4*b*x^3*(-a^4/b^5)^(1/4)*arctan(-((a*x^3 - b)^(1/4)*a^3*b*(-a^4/b^5)^(1/4) - sqrt(-a^4*b^3*sqrt(-a^4/b^5) + sqrt(a*x^3 - b)*a^6)*b*(-a^4/b^5)^(1/4))/a^4) - b*x^3*(-a^4/b^5)^(1/4)*log(b^4*(-a^4/b^5)^(3/4) + (a*x^3 - b)^(1/4)*a^3) + b*x^3*(-a^4/b^5)^(1/4)*log(-b^4*(-a^4/b^5)^(3/4) + (a*x^3 - b)^(1/4)*a^3) - 4*(a*x^3 - b)^(3/4))/(b*x^3)","A",0
2107,-1,0,0,0.000000," ","integrate(1/2*(2+x)*(x^2-x-1)*((-2*x^2+x+1)/(4*x^2+x+1))^(1/4)/x/(x^4+x^2+2*x+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2108,1,4868,0,6.615195," ","integrate((x^4+1)/(x^4-1)/(x^4+x^3-x^2-x+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{416} \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} - 3 \, \sqrt{2}\right)} \sqrt{3 \, \sqrt{13} + 13} \log\left(\frac{634933 \, {\left(52 \, x^{4} + 52 \, x^{3} + 13^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(\sqrt{13} \sqrt{2} {\left(x^{2} + 2 \, x - 1\right)} + \sqrt{2} {\left(5 \, x^{2} - 2 \, x - 5\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 52 \, x^{2} + \sqrt{13} {\left(17 \, x^{4} + 20 \, x^{3} - 26 \, x^{2} - 20 \, x + 17\right)} - 52 \, x + 52\right)}}{x^{4} + 2 \, x^{2} + 1}\right) + \frac{1}{416} \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} - 3 \, \sqrt{2}\right)} \sqrt{3 \, \sqrt{13} + 13} \log\left(\frac{634933 \, {\left(52 \, x^{4} + 52 \, x^{3} - 13^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(\sqrt{13} \sqrt{2} {\left(x^{2} + 2 \, x - 1\right)} + \sqrt{2} {\left(5 \, x^{2} - 2 \, x - 5\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 52 \, x^{2} + \sqrt{13} {\left(17 \, x^{4} + 20 \, x^{3} - 26 \, x^{2} - 20 \, x + 17\right)} - 52 \, x + 52\right)}}{x^{4} + 2 \, x^{2} + 1}\right) - \frac{1}{52} \cdot 13^{\frac{1}{4}} \sqrt{2} \sqrt{3 \, \sqrt{13} + 13} \arctan\left(-\frac{303466516831856398098 \, x^{24} + 4743900311019108485688 \, x^{23} + 28233351478670402508912 \, x^{22} - 72199824668983318237944 \, x^{21} - 549945030052979141285484 \, x^{20} + 203866718260552713998424 \, x^{19} + 3538287727177039762376880 \, x^{18} + 1160844709036705056427752 \, x^{17} - 10483458261909001046283762 \, x^{16} - 5884323216790673562757200 \, x^{15} + 18321648976655814996172512 \, x^{14} + 10935511024932688162387536 \, x^{13} - 21815129887942114408252776 \, x^{12} - 10935511024932688162387536 \, x^{11} + 18321648976655814996172512 \, x^{10} + 5884323216790673562757200 \, x^{9} - 10483458261909001046283762 \, x^{8} - 1160844709036705056427752 \, x^{7} + 3538287727177039762376880 \, x^{6} - 203866718260552713998424 \, x^{5} - 549945030052979141285484 \, x^{4} + 72199824668983318237944 \, x^{3} + 28233351478670402508912 \, x^{2} + 22542 \, \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(13^{\frac{3}{4}} {\left(\sqrt{13} \sqrt{2} {\left(438032817640345 \, x^{22} + 4766023804643608 \, x^{21} - 22651687495355451 \, x^{20} - 73226949981951792 \, x^{19} + 201895053539000295 \, x^{18} + 581246457201440152 \, x^{17} - 688323719968941789 \, x^{16} - 2375828481503141120 \, x^{15} + 835564914755102394 \, x^{14} + 4875744719966576976 \, x^{13} - 518955383785839278 \, x^{12} - 6081767361973499808 \, x^{11} + 518955383785839278 \, x^{10} + 4875744719966576976 \, x^{9} - 835564914755102394 \, x^{8} - 2375828481503141120 \, x^{7} + 688323719968941789 \, x^{6} + 581246457201440152 \, x^{5} - 201895053539000295 \, x^{4} - 73226949981951792 \, x^{3} + 22651687495355451 \, x^{2} + 4766023804643608 \, x - 438032817640345\right)} - 13 \, \sqrt{2} {\left(70613291210443 \, x^{22} + 1163654076309028 \, x^{21} - 1583310499286865 \, x^{20} - 22882269559286984 \, x^{19} + 6676964780514997 \, x^{18} + 174966322381689396 \, x^{17} + 44249933486799049 \, x^{16} - 651769703746318880 \, x^{15} - 361386944352761330 \, x^{14} + 1257983237200889768 \, x^{13} + 764225260716326422 \, x^{12} - 1534892168387514928 \, x^{11} - 764225260716326422 \, x^{10} + 1257983237200889768 \, x^{9} + 361386944352761330 \, x^{8} - 651769703746318880 \, x^{7} - 44249933486799049 \, x^{6} + 174966322381689396 \, x^{5} - 6676964780514997 \, x^{4} - 22882269559286984 \, x^{3} + 1583310499286865 \, x^{2} + 1163654076309028 \, x - 70613291210443\right)}\right)} + 208 \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} {\left(4692636395300 \, x^{22} + 21025698352120 \, x^{21} - 509873403724003 \, x^{20} + 1198066536193627 \, x^{19} + 3315357795152678 \, x^{18} - 10114246161224222 \, x^{17} - 11088440456053169 \, x^{16} + 37159592182761664 \, x^{15} + 22839711859751903 \, x^{14} - 80081392708755290 \, x^{13} - 34837626972977603 \, x^{12} + 102461865113616074 \, x^{11} + 34837626972977603 \, x^{10} - 80081392708755290 \, x^{9} - 22839711859751903 \, x^{8} + 37159592182761664 \, x^{7} + 11088440456053169 \, x^{6} - 10114246161224222 \, x^{5} - 3315357795152678 \, x^{4} + 1198066536193627 \, x^{3} + 509873403724003 \, x^{2} + 21025698352120 \, x - 4692636395300\right)} - \sqrt{2} {\left(5887397593700 \, x^{22} + 48235726154280 \, x^{21} - 789276041251667 \, x^{20} + 3219073445078935 \, x^{19} + 987154599751170 \, x^{18} - 30671562330634130 \, x^{17} + 14799842775240331 \, x^{16} + 133701026987497176 \, x^{15} - 52507544684949429 \, x^{14} - 312813206043385494 \, x^{13} + 76214230101024249 \, x^{12} + 408248773019680034 \, x^{11} - 76214230101024249 \, x^{10} - 312813206043385494 \, x^{9} + 52507544684949429 \, x^{8} + 133701026987497176 \, x^{7} - 14799842775240331 \, x^{6} - 30671562330634130 \, x^{5} - 987154599751170 \, x^{4} + 3219073445078935 \, x^{3} + 789276041251667 \, x^{2} + 48235726154280 \, x - 5887397593700\right)}\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 17 \, \sqrt{13} {\left(8 \, {\left(1176400871054864000 \, x^{22} + 7687548786224798400 \, x^{21} - 69832722125408817120 \, x^{20} - 23339220413812524208 \, x^{19} + 562761972310677711728 \, x^{18} + 215247024424501074096 \, x^{17} - 2257653963476425070128 \, x^{16} - 1386968938773226680352 \, x^{15} + 4790605753830493069200 \, x^{14} + 3519045680546393583248 \, x^{13} - 6554503840828816558192 \, x^{12} - 4586127059160220899936 \, x^{11} + 6554503840828816558192 \, x^{10} + 3519045680546393583248 \, x^{9} - 4790605753830493069200 \, x^{8} - 1386968938773226680352 \, x^{7} + 2257653963476425070128 \, x^{6} + 215247024424501074096 \, x^{5} - 562761972310677711728 \, x^{4} - 23339220413812524208 \, x^{3} + 69832722125408817120 \, x^{2} + \sqrt{13} {\left(347413063094905990 \, x^{22} + 2574804143274222093 \, x^{21} - 18530451609856137822 \, x^{20} - 22081688459241438170 \, x^{19} + 171845528497503708406 \, x^{18} + 132215393354867446377 \, x^{17} - 750514342534298363294 \, x^{16} - 551029809556392223928 \, x^{15} + 1817527644069021398748 \, x^{14} + 1300271146740319620490 \, x^{13} - 2716824871550408597420 \, x^{12} - 1710848117433555567324 \, x^{11} + 2716824871550408597420 \, x^{10} + 1300271146740319620490 \, x^{9} - 1817527644069021398748 \, x^{8} - 551029809556392223928 \, x^{7} + 750514342534298363294 \, x^{6} + 132215393354867446377 \, x^{5} - 171845528497503708406 \, x^{4} - 22081688459241438170 \, x^{3} + 18530451609856137822 \, x^{2} + \sqrt{13} {\left(86119890640762790 \, x^{22} + 612895390416267933 \, x^{21} - 4335535920387511086 \, x^{20} - 5302468667138334250 \, x^{19} + 38587660384357338854 \, x^{18} + 30930979498708755225 \, x^{17} - 158845749790110352222 \, x^{16} - 119769067733058532408 \, x^{15} + 361880375640229546236 \, x^{14} + 254022661898659193930 \, x^{13} - 531382608639111111148 \, x^{12} - 324162614012386926396 \, x^{11} + 531382608639111111148 \, x^{10} + 254022661898659193930 \, x^{9} - 361880375640229546236 \, x^{8} - 119769067733058532408 \, x^{7} + 158845749790110352222 \, x^{6} + 30930979498708755225 \, x^{5} - 38587660384357338854 \, x^{4} - 5302468667138334250 \, x^{3} + 4335535920387511086 \, x^{2} + 612895390416267933 \, x - 86119890640762790\right)} + 2574804143274222093 \, x - 347413063094905990\right)} + 781456 \, \sqrt{13} {\left(392642047000 \, x^{22} + 2668947743700 \, x^{21} - 21551606454210 \, x^{20} - 25391634979349 \, x^{19} + 216431774913673 \, x^{18} + 165124287185685 \, x^{17} - 975636855722909 \, x^{16} - 730292496271070 \, x^{15} + 2323352136214791 \, x^{14} + 1661364413033911 \, x^{13} - 3469542924856697 \, x^{12} - 2159192030142810 \, x^{11} + 3469542924856697 \, x^{10} + 1661364413033911 \, x^{9} - 2323352136214791 \, x^{8} - 730292496271070 \, x^{7} + 975636855722909 \, x^{6} + 165124287185685 \, x^{5} - 216431774913673 \, x^{4} - 25391634979349 \, x^{3} + 21551606454210 \, x^{2} + 2668947743700 \, x - 392642047000\right)} + 7687548786224798400 \, x - 1176400871054864000\right)} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} + {\left(13^{\frac{3}{4}} {\left(\sqrt{13} \sqrt{2} {\left(42561667757632535 \, x^{24} + 257611512435675958 \, x^{23} - 2247750745977714788 \, x^{22} - 1814256247738761970 \, x^{21} + 24442437067776376590 \, x^{20} + 7434104308599750458 \, x^{19} - 133732529802419891028 \, x^{18} - 40377788940700833486 \, x^{17} + 424853244996735057401 \, x^{16} + 169970966197279445148 \, x^{15} - 792994393765633385544 \, x^{14} - 324292611472025875252 \, x^{13} + 965410860226389212612 \, x^{12} + 324292611472025875252 \, x^{11} - 792994393765633385544 \, x^{10} - 169970966197279445148 \, x^{9} + 424853244996735057401 \, x^{8} + 40377788940700833486 \, x^{7} - 133732529802419891028 \, x^{6} - 7434104308599750458 \, x^{5} + 24442437067776376590 \, x^{4} + 1814256247738761970 \, x^{3} - 2247750745977714788 \, x^{2} - 257611512435675958 \, x + 42561667757632535\right)} + \sqrt{2} {\left(255964917914376199 \, x^{24} + 2378265999782735342 \, x^{23} - 10723699406875401436 \, x^{22} - 34884403219165654778 \, x^{21} + 93953387409611786046 \, x^{20} + 253421004867879632674 \, x^{19} - 344419433727703157868 \, x^{18} - 1002660055585799007654 \, x^{17} + 598091993726342289097 \, x^{16} + 2206109898157584293772 \, x^{15} - 695096131692662787768 \, x^{14} - 3171896094005833352900 \, x^{13} + 694108138803077006308 \, x^{12} + 3171896094005833352900 \, x^{11} - 695096131692662787768 \, x^{10} - 2206109898157584293772 \, x^{9} + 598091993726342289097 \, x^{8} + 1002660055585799007654 \, x^{7} - 344419433727703157868 \, x^{6} - 253421004867879632674 \, x^{5} + 93953387409611786046 \, x^{4} + 34884403219165654778 \, x^{3} - 10723699406875401436 \, x^{2} - 2378265999782735342 \, x + 255964917914376199\right)}\right)} + 16 \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} {\left(10624231800639100 \, x^{24} + 80728789199165240 \, x^{23} - 453437665552960801 \, x^{22} - 1361343207830720927 \, x^{21} + 4509496134229422087 \, x^{20} + 11529111171725879005 \, x^{19} - 19238646913942275477 \, x^{18} - 53837830579514157270 \, x^{17} + 39389350688620333912 \, x^{16} + 138078999987416412018 \, x^{15} - 45152999655828310218 \, x^{14} - 212071343879066457860 \, x^{13} + 43690224455383154506 \, x^{12} + 212071343879066457860 \, x^{11} - 45152999655828310218 \, x^{10} - 138078999987416412018 \, x^{9} + 39389350688620333912 \, x^{8} + 53837830579514157270 \, x^{7} - 19238646913942275477 \, x^{6} - 11529111171725879005 \, x^{5} + 4509496134229422087 \, x^{4} + 1361343207830720927 \, x^{3} - 453437665552960801 \, x^{2} - 80728789199165240 \, x + 10624231800639100\right)} + 13 \, \sqrt{2} {\left(3882779405827700 \, x^{24} + 28606444435892680 \, x^{23} - 227641579389617987 \, x^{22} - 198956183337105013 \, x^{21} + 2168414620505808021 \, x^{20} + 1093374150915552911 \, x^{19} - 10049115354907453191 \, x^{18} - 4545138448499822946 \, x^{17} + 26948863273874260376 \, x^{16} + 10958614328214418326 \, x^{15} - 47994628464112587318 \, x^{14} - 17184519112020979516 \, x^{13} + 57842201375545723838 \, x^{12} + 17184519112020979516 \, x^{11} - 47994628464112587318 \, x^{10} - 10958614328214418326 \, x^{9} + 26948863273874260376 \, x^{8} + 4545138448499822946 \, x^{7} - 10049115354907453191 \, x^{6} - 1093374150915552911 \, x^{5} + 2168414620505808021 \, x^{4} + 198956183337105013 \, x^{3} - 227641579389617987 \, x^{2} - 28606444435892680 \, x + 3882779405827700\right)}\right)}\right)} \sqrt{3 \, \sqrt{13} + 13}\right)} \sqrt{\frac{52 \, x^{4} + 52 \, x^{3} - 13^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(\sqrt{13} \sqrt{2} {\left(x^{2} + 2 \, x - 1\right)} + \sqrt{2} {\left(5 \, x^{2} - 2 \, x - 5\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 52 \, x^{2} + \sqrt{13} {\left(17 \, x^{4} + 20 \, x^{3} - 26 \, x^{2} - 20 \, x + 17\right)} - 52 \, x + 52}{x^{4} + 2 \, x^{2} + 1}} + 293046 \, \sqrt{13} {\left(864908224669831 \, x^{24} + 10355522400887124 \, x^{23} - 17384091301118312 \, x^{22} - 126742456591014836 \, x^{21} + 22231314006511958 \, x^{20} + 520289532650388676 \, x^{19} + 298321626941299512 \, x^{18} - 528293883094391716 \, x^{17} - 389743086866628119 \, x^{16} - 210204858921706104 \, x^{15} - 266798576314259920 \, x^{14} + 975476535814976248 \, x^{13} + 761571647922735220 \, x^{12} - 975476535814976248 \, x^{11} - 266798576314259920 \, x^{10} + 210204858921706104 \, x^{9} - 389743086866628119 \, x^{8} + 528293883094391716 \, x^{7} + 298321626941299512 \, x^{6} - 520289532650388676 \, x^{5} + 22231314006511958 \, x^{4} + 126742456591014836 \, x^{3} - 17384091301118312 \, x^{2} - 10355522400887124 \, x + 864908224669831\right)} + 2344368 \, \sqrt{13} {\left(6297682684370 \, x^{24} - 199950327117651 \, x^{23} - 995766583461953 \, x^{22} + 3494940283605122 \, x^{21} + 11259696068148532 \, x^{20} - 11251123247802050 \, x^{19} - 43365133169916061 \, x^{18} - 7137738820792145 \, x^{17} + 29711549278992846 \, x^{16} + 14458141654548170 \, x^{15} + 42344219995051230 \, x^{14} + 6649866616815492 \, x^{13} - 85988445576305064 \, x^{12} - 6649866616815492 \, x^{11} + 42344219995051230 \, x^{10} - 14458141654548170 \, x^{9} + 29711549278992846 \, x^{8} + 7137738820792145 \, x^{7} - 43365133169916061 \, x^{6} + 11251123247802050 \, x^{5} + 11259696068148532 \, x^{4} - 3494940283605122 \, x^{3} - 995766583461953 \, x^{2} + \sqrt{13} {\left(20927774353570 \, x^{24} + 130384064414589 \, x^{23} - 1832539639466373 \, x^{22} - 378588130924562 \, x^{21} + 21380590264585528 \, x^{20} + 4744891377887298 \, x^{19} - 116038978593664721 \, x^{18} - 50745796110773153 \, x^{17} + 338872085186622574 \, x^{16} + 188797691491908298 \, x^{15} - 600518166018256810 \, x^{14} - 335968273816529348 \, x^{13} + 718884696204352368 \, x^{12} + 335968273816529348 \, x^{11} - 600518166018256810 \, x^{10} - 188797691491908298 \, x^{9} + 338872085186622574 \, x^{8} + 50745796110773153 \, x^{7} - 116038978593664721 \, x^{6} - 4744891377887298 \, x^{5} + 21380590264585528 \, x^{4} + 378588130924562 \, x^{3} - 1832539639466373 \, x^{2} - 130384064414589 \, x + 20927774353570\right)} + 199950327117651 \, x + 6297682684370\right)} - 4743900311019108485688 \, x + 303466516831856398098}{156 \, {\left(2619839878947519387 \, x^{24} + 56875992053837531104 \, x^{23} + 131959371237747999396 \, x^{22} - 2182804951517679993984 \, x^{21} - 834435940279923178058 \, x^{20} + 19080490944149866629376 \, x^{19} + 7572391123444752820884 \, x^{18} - 80627449581147817109984 \, x^{17} - 42572148062363848355915 \, x^{16} + 186546831575976527374656 \, x^{15} + 105848256468770974999240 \, x^{14} - 273413685733714921314176 \, x^{13} - 139929639991653442404876 \, x^{12} + 273413685733714921314176 \, x^{11} + 105848256468770974999240 \, x^{10} - 186546831575976527374656 \, x^{9} - 42572148062363848355915 \, x^{8} + 80627449581147817109984 \, x^{7} + 7572391123444752820884 \, x^{6} - 19080490944149866629376 \, x^{5} - 834435940279923178058 \, x^{4} + 2182804951517679993984 \, x^{3} + 131959371237747999396 \, x^{2} - 56875992053837531104 \, x + 2619839878947519387\right)}}\right) - \frac{1}{52} \cdot 13^{\frac{1}{4}} \sqrt{2} \sqrt{3 \, \sqrt{13} + 13} \arctan\left(\frac{303466516831856398098 \, x^{24} + 4743900311019108485688 \, x^{23} + 28233351478670402508912 \, x^{22} - 72199824668983318237944 \, x^{21} - 549945030052979141285484 \, x^{20} + 203866718260552713998424 \, x^{19} + 3538287727177039762376880 \, x^{18} + 1160844709036705056427752 \, x^{17} - 10483458261909001046283762 \, x^{16} - 5884323216790673562757200 \, x^{15} + 18321648976655814996172512 \, x^{14} + 10935511024932688162387536 \, x^{13} - 21815129887942114408252776 \, x^{12} - 10935511024932688162387536 \, x^{11} + 18321648976655814996172512 \, x^{10} + 5884323216790673562757200 \, x^{9} - 10483458261909001046283762 \, x^{8} - 1160844709036705056427752 \, x^{7} + 3538287727177039762376880 \, x^{6} - 203866718260552713998424 \, x^{5} - 549945030052979141285484 \, x^{4} + 72199824668983318237944 \, x^{3} + 28233351478670402508912 \, x^{2} - 22542 \, \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(13^{\frac{3}{4}} {\left(\sqrt{13} \sqrt{2} {\left(438032817640345 \, x^{22} + 4766023804643608 \, x^{21} - 22651687495355451 \, x^{20} - 73226949981951792 \, x^{19} + 201895053539000295 \, x^{18} + 581246457201440152 \, x^{17} - 688323719968941789 \, x^{16} - 2375828481503141120 \, x^{15} + 835564914755102394 \, x^{14} + 4875744719966576976 \, x^{13} - 518955383785839278 \, x^{12} - 6081767361973499808 \, x^{11} + 518955383785839278 \, x^{10} + 4875744719966576976 \, x^{9} - 835564914755102394 \, x^{8} - 2375828481503141120 \, x^{7} + 688323719968941789 \, x^{6} + 581246457201440152 \, x^{5} - 201895053539000295 \, x^{4} - 73226949981951792 \, x^{3} + 22651687495355451 \, x^{2} + 4766023804643608 \, x - 438032817640345\right)} - 13 \, \sqrt{2} {\left(70613291210443 \, x^{22} + 1163654076309028 \, x^{21} - 1583310499286865 \, x^{20} - 22882269559286984 \, x^{19} + 6676964780514997 \, x^{18} + 174966322381689396 \, x^{17} + 44249933486799049 \, x^{16} - 651769703746318880 \, x^{15} - 361386944352761330 \, x^{14} + 1257983237200889768 \, x^{13} + 764225260716326422 \, x^{12} - 1534892168387514928 \, x^{11} - 764225260716326422 \, x^{10} + 1257983237200889768 \, x^{9} + 361386944352761330 \, x^{8} - 651769703746318880 \, x^{7} - 44249933486799049 \, x^{6} + 174966322381689396 \, x^{5} - 6676964780514997 \, x^{4} - 22882269559286984 \, x^{3} + 1583310499286865 \, x^{2} + 1163654076309028 \, x - 70613291210443\right)}\right)} + 208 \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} {\left(4692636395300 \, x^{22} + 21025698352120 \, x^{21} - 509873403724003 \, x^{20} + 1198066536193627 \, x^{19} + 3315357795152678 \, x^{18} - 10114246161224222 \, x^{17} - 11088440456053169 \, x^{16} + 37159592182761664 \, x^{15} + 22839711859751903 \, x^{14} - 80081392708755290 \, x^{13} - 34837626972977603 \, x^{12} + 102461865113616074 \, x^{11} + 34837626972977603 \, x^{10} - 80081392708755290 \, x^{9} - 22839711859751903 \, x^{8} + 37159592182761664 \, x^{7} + 11088440456053169 \, x^{6} - 10114246161224222 \, x^{5} - 3315357795152678 \, x^{4} + 1198066536193627 \, x^{3} + 509873403724003 \, x^{2} + 21025698352120 \, x - 4692636395300\right)} - \sqrt{2} {\left(5887397593700 \, x^{22} + 48235726154280 \, x^{21} - 789276041251667 \, x^{20} + 3219073445078935 \, x^{19} + 987154599751170 \, x^{18} - 30671562330634130 \, x^{17} + 14799842775240331 \, x^{16} + 133701026987497176 \, x^{15} - 52507544684949429 \, x^{14} - 312813206043385494 \, x^{13} + 76214230101024249 \, x^{12} + 408248773019680034 \, x^{11} - 76214230101024249 \, x^{10} - 312813206043385494 \, x^{9} + 52507544684949429 \, x^{8} + 133701026987497176 \, x^{7} - 14799842775240331 \, x^{6} - 30671562330634130 \, x^{5} - 987154599751170 \, x^{4} + 3219073445078935 \, x^{3} + 789276041251667 \, x^{2} + 48235726154280 \, x - 5887397593700\right)}\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 17 \, \sqrt{13} {\left(8 \, {\left(1176400871054864000 \, x^{22} + 7687548786224798400 \, x^{21} - 69832722125408817120 \, x^{20} - 23339220413812524208 \, x^{19} + 562761972310677711728 \, x^{18} + 215247024424501074096 \, x^{17} - 2257653963476425070128 \, x^{16} - 1386968938773226680352 \, x^{15} + 4790605753830493069200 \, x^{14} + 3519045680546393583248 \, x^{13} - 6554503840828816558192 \, x^{12} - 4586127059160220899936 \, x^{11} + 6554503840828816558192 \, x^{10} + 3519045680546393583248 \, x^{9} - 4790605753830493069200 \, x^{8} - 1386968938773226680352 \, x^{7} + 2257653963476425070128 \, x^{6} + 215247024424501074096 \, x^{5} - 562761972310677711728 \, x^{4} - 23339220413812524208 \, x^{3} + 69832722125408817120 \, x^{2} + \sqrt{13} {\left(347413063094905990 \, x^{22} + 2574804143274222093 \, x^{21} - 18530451609856137822 \, x^{20} - 22081688459241438170 \, x^{19} + 171845528497503708406 \, x^{18} + 132215393354867446377 \, x^{17} - 750514342534298363294 \, x^{16} - 551029809556392223928 \, x^{15} + 1817527644069021398748 \, x^{14} + 1300271146740319620490 \, x^{13} - 2716824871550408597420 \, x^{12} - 1710848117433555567324 \, x^{11} + 2716824871550408597420 \, x^{10} + 1300271146740319620490 \, x^{9} - 1817527644069021398748 \, x^{8} - 551029809556392223928 \, x^{7} + 750514342534298363294 \, x^{6} + 132215393354867446377 \, x^{5} - 171845528497503708406 \, x^{4} - 22081688459241438170 \, x^{3} + 18530451609856137822 \, x^{2} + \sqrt{13} {\left(86119890640762790 \, x^{22} + 612895390416267933 \, x^{21} - 4335535920387511086 \, x^{20} - 5302468667138334250 \, x^{19} + 38587660384357338854 \, x^{18} + 30930979498708755225 \, x^{17} - 158845749790110352222 \, x^{16} - 119769067733058532408 \, x^{15} + 361880375640229546236 \, x^{14} + 254022661898659193930 \, x^{13} - 531382608639111111148 \, x^{12} - 324162614012386926396 \, x^{11} + 531382608639111111148 \, x^{10} + 254022661898659193930 \, x^{9} - 361880375640229546236 \, x^{8} - 119769067733058532408 \, x^{7} + 158845749790110352222 \, x^{6} + 30930979498708755225 \, x^{5} - 38587660384357338854 \, x^{4} - 5302468667138334250 \, x^{3} + 4335535920387511086 \, x^{2} + 612895390416267933 \, x - 86119890640762790\right)} + 2574804143274222093 \, x - 347413063094905990\right)} + 781456 \, \sqrt{13} {\left(392642047000 \, x^{22} + 2668947743700 \, x^{21} - 21551606454210 \, x^{20} - 25391634979349 \, x^{19} + 216431774913673 \, x^{18} + 165124287185685 \, x^{17} - 975636855722909 \, x^{16} - 730292496271070 \, x^{15} + 2323352136214791 \, x^{14} + 1661364413033911 \, x^{13} - 3469542924856697 \, x^{12} - 2159192030142810 \, x^{11} + 3469542924856697 \, x^{10} + 1661364413033911 \, x^{9} - 2323352136214791 \, x^{8} - 730292496271070 \, x^{7} + 975636855722909 \, x^{6} + 165124287185685 \, x^{5} - 216431774913673 \, x^{4} - 25391634979349 \, x^{3} + 21551606454210 \, x^{2} + 2668947743700 \, x - 392642047000\right)} + 7687548786224798400 \, x - 1176400871054864000\right)} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} - {\left(13^{\frac{3}{4}} {\left(\sqrt{13} \sqrt{2} {\left(42561667757632535 \, x^{24} + 257611512435675958 \, x^{23} - 2247750745977714788 \, x^{22} - 1814256247738761970 \, x^{21} + 24442437067776376590 \, x^{20} + 7434104308599750458 \, x^{19} - 133732529802419891028 \, x^{18} - 40377788940700833486 \, x^{17} + 424853244996735057401 \, x^{16} + 169970966197279445148 \, x^{15} - 792994393765633385544 \, x^{14} - 324292611472025875252 \, x^{13} + 965410860226389212612 \, x^{12} + 324292611472025875252 \, x^{11} - 792994393765633385544 \, x^{10} - 169970966197279445148 \, x^{9} + 424853244996735057401 \, x^{8} + 40377788940700833486 \, x^{7} - 133732529802419891028 \, x^{6} - 7434104308599750458 \, x^{5} + 24442437067776376590 \, x^{4} + 1814256247738761970 \, x^{3} - 2247750745977714788 \, x^{2} - 257611512435675958 \, x + 42561667757632535\right)} + \sqrt{2} {\left(255964917914376199 \, x^{24} + 2378265999782735342 \, x^{23} - 10723699406875401436 \, x^{22} - 34884403219165654778 \, x^{21} + 93953387409611786046 \, x^{20} + 253421004867879632674 \, x^{19} - 344419433727703157868 \, x^{18} - 1002660055585799007654 \, x^{17} + 598091993726342289097 \, x^{16} + 2206109898157584293772 \, x^{15} - 695096131692662787768 \, x^{14} - 3171896094005833352900 \, x^{13} + 694108138803077006308 \, x^{12} + 3171896094005833352900 \, x^{11} - 695096131692662787768 \, x^{10} - 2206109898157584293772 \, x^{9} + 598091993726342289097 \, x^{8} + 1002660055585799007654 \, x^{7} - 344419433727703157868 \, x^{6} - 253421004867879632674 \, x^{5} + 93953387409611786046 \, x^{4} + 34884403219165654778 \, x^{3} - 10723699406875401436 \, x^{2} - 2378265999782735342 \, x + 255964917914376199\right)}\right)} + 16 \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} {\left(10624231800639100 \, x^{24} + 80728789199165240 \, x^{23} - 453437665552960801 \, x^{22} - 1361343207830720927 \, x^{21} + 4509496134229422087 \, x^{20} + 11529111171725879005 \, x^{19} - 19238646913942275477 \, x^{18} - 53837830579514157270 \, x^{17} + 39389350688620333912 \, x^{16} + 138078999987416412018 \, x^{15} - 45152999655828310218 \, x^{14} - 212071343879066457860 \, x^{13} + 43690224455383154506 \, x^{12} + 212071343879066457860 \, x^{11} - 45152999655828310218 \, x^{10} - 138078999987416412018 \, x^{9} + 39389350688620333912 \, x^{8} + 53837830579514157270 \, x^{7} - 19238646913942275477 \, x^{6} - 11529111171725879005 \, x^{5} + 4509496134229422087 \, x^{4} + 1361343207830720927 \, x^{3} - 453437665552960801 \, x^{2} - 80728789199165240 \, x + 10624231800639100\right)} + 13 \, \sqrt{2} {\left(3882779405827700 \, x^{24} + 28606444435892680 \, x^{23} - 227641579389617987 \, x^{22} - 198956183337105013 \, x^{21} + 2168414620505808021 \, x^{20} + 1093374150915552911 \, x^{19} - 10049115354907453191 \, x^{18} - 4545138448499822946 \, x^{17} + 26948863273874260376 \, x^{16} + 10958614328214418326 \, x^{15} - 47994628464112587318 \, x^{14} - 17184519112020979516 \, x^{13} + 57842201375545723838 \, x^{12} + 17184519112020979516 \, x^{11} - 47994628464112587318 \, x^{10} - 10958614328214418326 \, x^{9} + 26948863273874260376 \, x^{8} + 4545138448499822946 \, x^{7} - 10049115354907453191 \, x^{6} - 1093374150915552911 \, x^{5} + 2168414620505808021 \, x^{4} + 198956183337105013 \, x^{3} - 227641579389617987 \, x^{2} - 28606444435892680 \, x + 3882779405827700\right)}\right)}\right)} \sqrt{3 \, \sqrt{13} + 13}\right)} \sqrt{\frac{52 \, x^{4} + 52 \, x^{3} + 13^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(\sqrt{13} \sqrt{2} {\left(x^{2} + 2 \, x - 1\right)} + \sqrt{2} {\left(5 \, x^{2} - 2 \, x - 5\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 52 \, x^{2} + \sqrt{13} {\left(17 \, x^{4} + 20 \, x^{3} - 26 \, x^{2} - 20 \, x + 17\right)} - 52 \, x + 52}{x^{4} + 2 \, x^{2} + 1}} + 293046 \, \sqrt{13} {\left(864908224669831 \, x^{24} + 10355522400887124 \, x^{23} - 17384091301118312 \, x^{22} - 126742456591014836 \, x^{21} + 22231314006511958 \, x^{20} + 520289532650388676 \, x^{19} + 298321626941299512 \, x^{18} - 528293883094391716 \, x^{17} - 389743086866628119 \, x^{16} - 210204858921706104 \, x^{15} - 266798576314259920 \, x^{14} + 975476535814976248 \, x^{13} + 761571647922735220 \, x^{12} - 975476535814976248 \, x^{11} - 266798576314259920 \, x^{10} + 210204858921706104 \, x^{9} - 389743086866628119 \, x^{8} + 528293883094391716 \, x^{7} + 298321626941299512 \, x^{6} - 520289532650388676 \, x^{5} + 22231314006511958 \, x^{4} + 126742456591014836 \, x^{3} - 17384091301118312 \, x^{2} - 10355522400887124 \, x + 864908224669831\right)} + 2344368 \, \sqrt{13} {\left(6297682684370 \, x^{24} - 199950327117651 \, x^{23} - 995766583461953 \, x^{22} + 3494940283605122 \, x^{21} + 11259696068148532 \, x^{20} - 11251123247802050 \, x^{19} - 43365133169916061 \, x^{18} - 7137738820792145 \, x^{17} + 29711549278992846 \, x^{16} + 14458141654548170 \, x^{15} + 42344219995051230 \, x^{14} + 6649866616815492 \, x^{13} - 85988445576305064 \, x^{12} - 6649866616815492 \, x^{11} + 42344219995051230 \, x^{10} - 14458141654548170 \, x^{9} + 29711549278992846 \, x^{8} + 7137738820792145 \, x^{7} - 43365133169916061 \, x^{6} + 11251123247802050 \, x^{5} + 11259696068148532 \, x^{4} - 3494940283605122 \, x^{3} - 995766583461953 \, x^{2} + \sqrt{13} {\left(20927774353570 \, x^{24} + 130384064414589 \, x^{23} - 1832539639466373 \, x^{22} - 378588130924562 \, x^{21} + 21380590264585528 \, x^{20} + 4744891377887298 \, x^{19} - 116038978593664721 \, x^{18} - 50745796110773153 \, x^{17} + 338872085186622574 \, x^{16} + 188797691491908298 \, x^{15} - 600518166018256810 \, x^{14} - 335968273816529348 \, x^{13} + 718884696204352368 \, x^{12} + 335968273816529348 \, x^{11} - 600518166018256810 \, x^{10} - 188797691491908298 \, x^{9} + 338872085186622574 \, x^{8} + 50745796110773153 \, x^{7} - 116038978593664721 \, x^{6} - 4744891377887298 \, x^{5} + 21380590264585528 \, x^{4} + 378588130924562 \, x^{3} - 1832539639466373 \, x^{2} - 130384064414589 \, x + 20927774353570\right)} + 199950327117651 \, x + 6297682684370\right)} - 4743900311019108485688 \, x + 303466516831856398098}{156 \, {\left(2619839878947519387 \, x^{24} + 56875992053837531104 \, x^{23} + 131959371237747999396 \, x^{22} - 2182804951517679993984 \, x^{21} - 834435940279923178058 \, x^{20} + 19080490944149866629376 \, x^{19} + 7572391123444752820884 \, x^{18} - 80627449581147817109984 \, x^{17} - 42572148062363848355915 \, x^{16} + 186546831575976527374656 \, x^{15} + 105848256468770974999240 \, x^{14} - 273413685733714921314176 \, x^{13} - 139929639991653442404876 \, x^{12} + 273413685733714921314176 \, x^{11} + 105848256468770974999240 \, x^{10} - 186546831575976527374656 \, x^{9} - 42572148062363848355915 \, x^{8} + 80627449581147817109984 \, x^{7} + 7572391123444752820884 \, x^{6} - 19080490944149866629376 \, x^{5} - 834435940279923178058 \, x^{4} + 2182804951517679993984 \, x^{3} + 131959371237747999396 \, x^{2} - 56875992053837531104 \, x + 2619839878947519387\right)}}\right) + \frac{1}{2} \, \log\left(-\frac{x^{2} + 2 \, x - 2 \, \sqrt{x^{4} + x^{3} - x^{2} - x + 1} - 1}{x^{2} - 1}\right)"," ",0,"-1/416*13^(1/4)*(sqrt(13)*sqrt(2) - 3*sqrt(2))*sqrt(3*sqrt(13) + 13)*log(634933*(52*x^4 + 52*x^3 + 13^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(sqrt(13)*sqrt(2)*(x^2 + 2*x - 1) + sqrt(2)*(5*x^2 - 2*x - 5))*sqrt(3*sqrt(13) + 13) - 52*x^2 + sqrt(13)*(17*x^4 + 20*x^3 - 26*x^2 - 20*x + 17) - 52*x + 52)/(x^4 + 2*x^2 + 1)) + 1/416*13^(1/4)*(sqrt(13)*sqrt(2) - 3*sqrt(2))*sqrt(3*sqrt(13) + 13)*log(634933*(52*x^4 + 52*x^3 - 13^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(sqrt(13)*sqrt(2)*(x^2 + 2*x - 1) + sqrt(2)*(5*x^2 - 2*x - 5))*sqrt(3*sqrt(13) + 13) - 52*x^2 + sqrt(13)*(17*x^4 + 20*x^3 - 26*x^2 - 20*x + 17) - 52*x + 52)/(x^4 + 2*x^2 + 1)) - 1/52*13^(1/4)*sqrt(2)*sqrt(3*sqrt(13) + 13)*arctan(-1/156*(303466516831856398098*x^24 + 4743900311019108485688*x^23 + 28233351478670402508912*x^22 - 72199824668983318237944*x^21 - 549945030052979141285484*x^20 + 203866718260552713998424*x^19 + 3538287727177039762376880*x^18 + 1160844709036705056427752*x^17 - 10483458261909001046283762*x^16 - 5884323216790673562757200*x^15 + 18321648976655814996172512*x^14 + 10935511024932688162387536*x^13 - 21815129887942114408252776*x^12 - 10935511024932688162387536*x^11 + 18321648976655814996172512*x^10 + 5884323216790673562757200*x^9 - 10483458261909001046283762*x^8 - 1160844709036705056427752*x^7 + 3538287727177039762376880*x^6 - 203866718260552713998424*x^5 - 549945030052979141285484*x^4 + 72199824668983318237944*x^3 + 28233351478670402508912*x^2 + 22542*sqrt(x^4 + x^3 - x^2 - x + 1)*(13^(3/4)*(sqrt(13)*sqrt(2)*(438032817640345*x^22 + 4766023804643608*x^21 - 22651687495355451*x^20 - 73226949981951792*x^19 + 201895053539000295*x^18 + 581246457201440152*x^17 - 688323719968941789*x^16 - 2375828481503141120*x^15 + 835564914755102394*x^14 + 4875744719966576976*x^13 - 518955383785839278*x^12 - 6081767361973499808*x^11 + 518955383785839278*x^10 + 4875744719966576976*x^9 - 835564914755102394*x^8 - 2375828481503141120*x^7 + 688323719968941789*x^6 + 581246457201440152*x^5 - 201895053539000295*x^4 - 73226949981951792*x^3 + 22651687495355451*x^2 + 4766023804643608*x - 438032817640345) - 13*sqrt(2)*(70613291210443*x^22 + 1163654076309028*x^21 - 1583310499286865*x^20 - 22882269559286984*x^19 + 6676964780514997*x^18 + 174966322381689396*x^17 + 44249933486799049*x^16 - 651769703746318880*x^15 - 361386944352761330*x^14 + 1257983237200889768*x^13 + 764225260716326422*x^12 - 1534892168387514928*x^11 - 764225260716326422*x^10 + 1257983237200889768*x^9 + 361386944352761330*x^8 - 651769703746318880*x^7 - 44249933486799049*x^6 + 174966322381689396*x^5 - 6676964780514997*x^4 - 22882269559286984*x^3 + 1583310499286865*x^2 + 1163654076309028*x - 70613291210443)) + 208*13^(1/4)*(sqrt(13)*sqrt(2)*(4692636395300*x^22 + 21025698352120*x^21 - 509873403724003*x^20 + 1198066536193627*x^19 + 3315357795152678*x^18 - 10114246161224222*x^17 - 11088440456053169*x^16 + 37159592182761664*x^15 + 22839711859751903*x^14 - 80081392708755290*x^13 - 34837626972977603*x^12 + 102461865113616074*x^11 + 34837626972977603*x^10 - 80081392708755290*x^9 - 22839711859751903*x^8 + 37159592182761664*x^7 + 11088440456053169*x^6 - 10114246161224222*x^5 - 3315357795152678*x^4 + 1198066536193627*x^3 + 509873403724003*x^2 + 21025698352120*x - 4692636395300) - sqrt(2)*(5887397593700*x^22 + 48235726154280*x^21 - 789276041251667*x^20 + 3219073445078935*x^19 + 987154599751170*x^18 - 30671562330634130*x^17 + 14799842775240331*x^16 + 133701026987497176*x^15 - 52507544684949429*x^14 - 312813206043385494*x^13 + 76214230101024249*x^12 + 408248773019680034*x^11 - 76214230101024249*x^10 - 312813206043385494*x^9 + 52507544684949429*x^8 + 133701026987497176*x^7 - 14799842775240331*x^6 - 30671562330634130*x^5 - 987154599751170*x^4 + 3219073445078935*x^3 + 789276041251667*x^2 + 48235726154280*x - 5887397593700)))*sqrt(3*sqrt(13) + 13) - 17*sqrt(13)*(8*(1176400871054864000*x^22 + 7687548786224798400*x^21 - 69832722125408817120*x^20 - 23339220413812524208*x^19 + 562761972310677711728*x^18 + 215247024424501074096*x^17 - 2257653963476425070128*x^16 - 1386968938773226680352*x^15 + 4790605753830493069200*x^14 + 3519045680546393583248*x^13 - 6554503840828816558192*x^12 - 4586127059160220899936*x^11 + 6554503840828816558192*x^10 + 3519045680546393583248*x^9 - 4790605753830493069200*x^8 - 1386968938773226680352*x^7 + 2257653963476425070128*x^6 + 215247024424501074096*x^5 - 562761972310677711728*x^4 - 23339220413812524208*x^3 + 69832722125408817120*x^2 + sqrt(13)*(347413063094905990*x^22 + 2574804143274222093*x^21 - 18530451609856137822*x^20 - 22081688459241438170*x^19 + 171845528497503708406*x^18 + 132215393354867446377*x^17 - 750514342534298363294*x^16 - 551029809556392223928*x^15 + 1817527644069021398748*x^14 + 1300271146740319620490*x^13 - 2716824871550408597420*x^12 - 1710848117433555567324*x^11 + 2716824871550408597420*x^10 + 1300271146740319620490*x^9 - 1817527644069021398748*x^8 - 551029809556392223928*x^7 + 750514342534298363294*x^6 + 132215393354867446377*x^5 - 171845528497503708406*x^4 - 22081688459241438170*x^3 + 18530451609856137822*x^2 + sqrt(13)*(86119890640762790*x^22 + 612895390416267933*x^21 - 4335535920387511086*x^20 - 5302468667138334250*x^19 + 38587660384357338854*x^18 + 30930979498708755225*x^17 - 158845749790110352222*x^16 - 119769067733058532408*x^15 + 361880375640229546236*x^14 + 254022661898659193930*x^13 - 531382608639111111148*x^12 - 324162614012386926396*x^11 + 531382608639111111148*x^10 + 254022661898659193930*x^9 - 361880375640229546236*x^8 - 119769067733058532408*x^7 + 158845749790110352222*x^6 + 30930979498708755225*x^5 - 38587660384357338854*x^4 - 5302468667138334250*x^3 + 4335535920387511086*x^2 + 612895390416267933*x - 86119890640762790) + 2574804143274222093*x - 347413063094905990) + 781456*sqrt(13)*(392642047000*x^22 + 2668947743700*x^21 - 21551606454210*x^20 - 25391634979349*x^19 + 216431774913673*x^18 + 165124287185685*x^17 - 975636855722909*x^16 - 730292496271070*x^15 + 2323352136214791*x^14 + 1661364413033911*x^13 - 3469542924856697*x^12 - 2159192030142810*x^11 + 3469542924856697*x^10 + 1661364413033911*x^9 - 2323352136214791*x^8 - 730292496271070*x^7 + 975636855722909*x^6 + 165124287185685*x^5 - 216431774913673*x^4 - 25391634979349*x^3 + 21551606454210*x^2 + 2668947743700*x - 392642047000) + 7687548786224798400*x - 1176400871054864000)*sqrt(x^4 + x^3 - x^2 - x + 1) + (13^(3/4)*(sqrt(13)*sqrt(2)*(42561667757632535*x^24 + 257611512435675958*x^23 - 2247750745977714788*x^22 - 1814256247738761970*x^21 + 24442437067776376590*x^20 + 7434104308599750458*x^19 - 133732529802419891028*x^18 - 40377788940700833486*x^17 + 424853244996735057401*x^16 + 169970966197279445148*x^15 - 792994393765633385544*x^14 - 324292611472025875252*x^13 + 965410860226389212612*x^12 + 324292611472025875252*x^11 - 792994393765633385544*x^10 - 169970966197279445148*x^9 + 424853244996735057401*x^8 + 40377788940700833486*x^7 - 133732529802419891028*x^6 - 7434104308599750458*x^5 + 24442437067776376590*x^4 + 1814256247738761970*x^3 - 2247750745977714788*x^2 - 257611512435675958*x + 42561667757632535) + sqrt(2)*(255964917914376199*x^24 + 2378265999782735342*x^23 - 10723699406875401436*x^22 - 34884403219165654778*x^21 + 93953387409611786046*x^20 + 253421004867879632674*x^19 - 344419433727703157868*x^18 - 1002660055585799007654*x^17 + 598091993726342289097*x^16 + 2206109898157584293772*x^15 - 695096131692662787768*x^14 - 3171896094005833352900*x^13 + 694108138803077006308*x^12 + 3171896094005833352900*x^11 - 695096131692662787768*x^10 - 2206109898157584293772*x^9 + 598091993726342289097*x^8 + 1002660055585799007654*x^7 - 344419433727703157868*x^6 - 253421004867879632674*x^5 + 93953387409611786046*x^4 + 34884403219165654778*x^3 - 10723699406875401436*x^2 - 2378265999782735342*x + 255964917914376199)) + 16*13^(1/4)*(sqrt(13)*sqrt(2)*(10624231800639100*x^24 + 80728789199165240*x^23 - 453437665552960801*x^22 - 1361343207830720927*x^21 + 4509496134229422087*x^20 + 11529111171725879005*x^19 - 19238646913942275477*x^18 - 53837830579514157270*x^17 + 39389350688620333912*x^16 + 138078999987416412018*x^15 - 45152999655828310218*x^14 - 212071343879066457860*x^13 + 43690224455383154506*x^12 + 212071343879066457860*x^11 - 45152999655828310218*x^10 - 138078999987416412018*x^9 + 39389350688620333912*x^8 + 53837830579514157270*x^7 - 19238646913942275477*x^6 - 11529111171725879005*x^5 + 4509496134229422087*x^4 + 1361343207830720927*x^3 - 453437665552960801*x^2 - 80728789199165240*x + 10624231800639100) + 13*sqrt(2)*(3882779405827700*x^24 + 28606444435892680*x^23 - 227641579389617987*x^22 - 198956183337105013*x^21 + 2168414620505808021*x^20 + 1093374150915552911*x^19 - 10049115354907453191*x^18 - 4545138448499822946*x^17 + 26948863273874260376*x^16 + 10958614328214418326*x^15 - 47994628464112587318*x^14 - 17184519112020979516*x^13 + 57842201375545723838*x^12 + 17184519112020979516*x^11 - 47994628464112587318*x^10 - 10958614328214418326*x^9 + 26948863273874260376*x^8 + 4545138448499822946*x^7 - 10049115354907453191*x^6 - 1093374150915552911*x^5 + 2168414620505808021*x^4 + 198956183337105013*x^3 - 227641579389617987*x^2 - 28606444435892680*x + 3882779405827700)))*sqrt(3*sqrt(13) + 13))*sqrt((52*x^4 + 52*x^3 - 13^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(sqrt(13)*sqrt(2)*(x^2 + 2*x - 1) + sqrt(2)*(5*x^2 - 2*x - 5))*sqrt(3*sqrt(13) + 13) - 52*x^2 + sqrt(13)*(17*x^4 + 20*x^3 - 26*x^2 - 20*x + 17) - 52*x + 52)/(x^4 + 2*x^2 + 1)) + 293046*sqrt(13)*(864908224669831*x^24 + 10355522400887124*x^23 - 17384091301118312*x^22 - 126742456591014836*x^21 + 22231314006511958*x^20 + 520289532650388676*x^19 + 298321626941299512*x^18 - 528293883094391716*x^17 - 389743086866628119*x^16 - 210204858921706104*x^15 - 266798576314259920*x^14 + 975476535814976248*x^13 + 761571647922735220*x^12 - 975476535814976248*x^11 - 266798576314259920*x^10 + 210204858921706104*x^9 - 389743086866628119*x^8 + 528293883094391716*x^7 + 298321626941299512*x^6 - 520289532650388676*x^5 + 22231314006511958*x^4 + 126742456591014836*x^3 - 17384091301118312*x^2 - 10355522400887124*x + 864908224669831) + 2344368*sqrt(13)*(6297682684370*x^24 - 199950327117651*x^23 - 995766583461953*x^22 + 3494940283605122*x^21 + 11259696068148532*x^20 - 11251123247802050*x^19 - 43365133169916061*x^18 - 7137738820792145*x^17 + 29711549278992846*x^16 + 14458141654548170*x^15 + 42344219995051230*x^14 + 6649866616815492*x^13 - 85988445576305064*x^12 - 6649866616815492*x^11 + 42344219995051230*x^10 - 14458141654548170*x^9 + 29711549278992846*x^8 + 7137738820792145*x^7 - 43365133169916061*x^6 + 11251123247802050*x^5 + 11259696068148532*x^4 - 3494940283605122*x^3 - 995766583461953*x^2 + sqrt(13)*(20927774353570*x^24 + 130384064414589*x^23 - 1832539639466373*x^22 - 378588130924562*x^21 + 21380590264585528*x^20 + 4744891377887298*x^19 - 116038978593664721*x^18 - 50745796110773153*x^17 + 338872085186622574*x^16 + 188797691491908298*x^15 - 600518166018256810*x^14 - 335968273816529348*x^13 + 718884696204352368*x^12 + 335968273816529348*x^11 - 600518166018256810*x^10 - 188797691491908298*x^9 + 338872085186622574*x^8 + 50745796110773153*x^7 - 116038978593664721*x^6 - 4744891377887298*x^5 + 21380590264585528*x^4 + 378588130924562*x^3 - 1832539639466373*x^2 - 130384064414589*x + 20927774353570) + 199950327117651*x + 6297682684370) - 4743900311019108485688*x + 303466516831856398098)/(2619839878947519387*x^24 + 56875992053837531104*x^23 + 131959371237747999396*x^22 - 2182804951517679993984*x^21 - 834435940279923178058*x^20 + 19080490944149866629376*x^19 + 7572391123444752820884*x^18 - 80627449581147817109984*x^17 - 42572148062363848355915*x^16 + 186546831575976527374656*x^15 + 105848256468770974999240*x^14 - 273413685733714921314176*x^13 - 139929639991653442404876*x^12 + 273413685733714921314176*x^11 + 105848256468770974999240*x^10 - 186546831575976527374656*x^9 - 42572148062363848355915*x^8 + 80627449581147817109984*x^7 + 7572391123444752820884*x^6 - 19080490944149866629376*x^5 - 834435940279923178058*x^4 + 2182804951517679993984*x^3 + 131959371237747999396*x^2 - 56875992053837531104*x + 2619839878947519387)) - 1/52*13^(1/4)*sqrt(2)*sqrt(3*sqrt(13) + 13)*arctan(1/156*(303466516831856398098*x^24 + 4743900311019108485688*x^23 + 28233351478670402508912*x^22 - 72199824668983318237944*x^21 - 549945030052979141285484*x^20 + 203866718260552713998424*x^19 + 3538287727177039762376880*x^18 + 1160844709036705056427752*x^17 - 10483458261909001046283762*x^16 - 5884323216790673562757200*x^15 + 18321648976655814996172512*x^14 + 10935511024932688162387536*x^13 - 21815129887942114408252776*x^12 - 10935511024932688162387536*x^11 + 18321648976655814996172512*x^10 + 5884323216790673562757200*x^9 - 10483458261909001046283762*x^8 - 1160844709036705056427752*x^7 + 3538287727177039762376880*x^6 - 203866718260552713998424*x^5 - 549945030052979141285484*x^4 + 72199824668983318237944*x^3 + 28233351478670402508912*x^2 - 22542*sqrt(x^4 + x^3 - x^2 - x + 1)*(13^(3/4)*(sqrt(13)*sqrt(2)*(438032817640345*x^22 + 4766023804643608*x^21 - 22651687495355451*x^20 - 73226949981951792*x^19 + 201895053539000295*x^18 + 581246457201440152*x^17 - 688323719968941789*x^16 - 2375828481503141120*x^15 + 835564914755102394*x^14 + 4875744719966576976*x^13 - 518955383785839278*x^12 - 6081767361973499808*x^11 + 518955383785839278*x^10 + 4875744719966576976*x^9 - 835564914755102394*x^8 - 2375828481503141120*x^7 + 688323719968941789*x^6 + 581246457201440152*x^5 - 201895053539000295*x^4 - 73226949981951792*x^3 + 22651687495355451*x^2 + 4766023804643608*x - 438032817640345) - 13*sqrt(2)*(70613291210443*x^22 + 1163654076309028*x^21 - 1583310499286865*x^20 - 22882269559286984*x^19 + 6676964780514997*x^18 + 174966322381689396*x^17 + 44249933486799049*x^16 - 651769703746318880*x^15 - 361386944352761330*x^14 + 1257983237200889768*x^13 + 764225260716326422*x^12 - 1534892168387514928*x^11 - 764225260716326422*x^10 + 1257983237200889768*x^9 + 361386944352761330*x^8 - 651769703746318880*x^7 - 44249933486799049*x^6 + 174966322381689396*x^5 - 6676964780514997*x^4 - 22882269559286984*x^3 + 1583310499286865*x^2 + 1163654076309028*x - 70613291210443)) + 208*13^(1/4)*(sqrt(13)*sqrt(2)*(4692636395300*x^22 + 21025698352120*x^21 - 509873403724003*x^20 + 1198066536193627*x^19 + 3315357795152678*x^18 - 10114246161224222*x^17 - 11088440456053169*x^16 + 37159592182761664*x^15 + 22839711859751903*x^14 - 80081392708755290*x^13 - 34837626972977603*x^12 + 102461865113616074*x^11 + 34837626972977603*x^10 - 80081392708755290*x^9 - 22839711859751903*x^8 + 37159592182761664*x^7 + 11088440456053169*x^6 - 10114246161224222*x^5 - 3315357795152678*x^4 + 1198066536193627*x^3 + 509873403724003*x^2 + 21025698352120*x - 4692636395300) - sqrt(2)*(5887397593700*x^22 + 48235726154280*x^21 - 789276041251667*x^20 + 3219073445078935*x^19 + 987154599751170*x^18 - 30671562330634130*x^17 + 14799842775240331*x^16 + 133701026987497176*x^15 - 52507544684949429*x^14 - 312813206043385494*x^13 + 76214230101024249*x^12 + 408248773019680034*x^11 - 76214230101024249*x^10 - 312813206043385494*x^9 + 52507544684949429*x^8 + 133701026987497176*x^7 - 14799842775240331*x^6 - 30671562330634130*x^5 - 987154599751170*x^4 + 3219073445078935*x^3 + 789276041251667*x^2 + 48235726154280*x - 5887397593700)))*sqrt(3*sqrt(13) + 13) - 17*sqrt(13)*(8*(1176400871054864000*x^22 + 7687548786224798400*x^21 - 69832722125408817120*x^20 - 23339220413812524208*x^19 + 562761972310677711728*x^18 + 215247024424501074096*x^17 - 2257653963476425070128*x^16 - 1386968938773226680352*x^15 + 4790605753830493069200*x^14 + 3519045680546393583248*x^13 - 6554503840828816558192*x^12 - 4586127059160220899936*x^11 + 6554503840828816558192*x^10 + 3519045680546393583248*x^9 - 4790605753830493069200*x^8 - 1386968938773226680352*x^7 + 2257653963476425070128*x^6 + 215247024424501074096*x^5 - 562761972310677711728*x^4 - 23339220413812524208*x^3 + 69832722125408817120*x^2 + sqrt(13)*(347413063094905990*x^22 + 2574804143274222093*x^21 - 18530451609856137822*x^20 - 22081688459241438170*x^19 + 171845528497503708406*x^18 + 132215393354867446377*x^17 - 750514342534298363294*x^16 - 551029809556392223928*x^15 + 1817527644069021398748*x^14 + 1300271146740319620490*x^13 - 2716824871550408597420*x^12 - 1710848117433555567324*x^11 + 2716824871550408597420*x^10 + 1300271146740319620490*x^9 - 1817527644069021398748*x^8 - 551029809556392223928*x^7 + 750514342534298363294*x^6 + 132215393354867446377*x^5 - 171845528497503708406*x^4 - 22081688459241438170*x^3 + 18530451609856137822*x^2 + sqrt(13)*(86119890640762790*x^22 + 612895390416267933*x^21 - 4335535920387511086*x^20 - 5302468667138334250*x^19 + 38587660384357338854*x^18 + 30930979498708755225*x^17 - 158845749790110352222*x^16 - 119769067733058532408*x^15 + 361880375640229546236*x^14 + 254022661898659193930*x^13 - 531382608639111111148*x^12 - 324162614012386926396*x^11 + 531382608639111111148*x^10 + 254022661898659193930*x^9 - 361880375640229546236*x^8 - 119769067733058532408*x^7 + 158845749790110352222*x^6 + 30930979498708755225*x^5 - 38587660384357338854*x^4 - 5302468667138334250*x^3 + 4335535920387511086*x^2 + 612895390416267933*x - 86119890640762790) + 2574804143274222093*x - 347413063094905990) + 781456*sqrt(13)*(392642047000*x^22 + 2668947743700*x^21 - 21551606454210*x^20 - 25391634979349*x^19 + 216431774913673*x^18 + 165124287185685*x^17 - 975636855722909*x^16 - 730292496271070*x^15 + 2323352136214791*x^14 + 1661364413033911*x^13 - 3469542924856697*x^12 - 2159192030142810*x^11 + 3469542924856697*x^10 + 1661364413033911*x^9 - 2323352136214791*x^8 - 730292496271070*x^7 + 975636855722909*x^6 + 165124287185685*x^5 - 216431774913673*x^4 - 25391634979349*x^3 + 21551606454210*x^2 + 2668947743700*x - 392642047000) + 7687548786224798400*x - 1176400871054864000)*sqrt(x^4 + x^3 - x^2 - x + 1) - (13^(3/4)*(sqrt(13)*sqrt(2)*(42561667757632535*x^24 + 257611512435675958*x^23 - 2247750745977714788*x^22 - 1814256247738761970*x^21 + 24442437067776376590*x^20 + 7434104308599750458*x^19 - 133732529802419891028*x^18 - 40377788940700833486*x^17 + 424853244996735057401*x^16 + 169970966197279445148*x^15 - 792994393765633385544*x^14 - 324292611472025875252*x^13 + 965410860226389212612*x^12 + 324292611472025875252*x^11 - 792994393765633385544*x^10 - 169970966197279445148*x^9 + 424853244996735057401*x^8 + 40377788940700833486*x^7 - 133732529802419891028*x^6 - 7434104308599750458*x^5 + 24442437067776376590*x^4 + 1814256247738761970*x^3 - 2247750745977714788*x^2 - 257611512435675958*x + 42561667757632535) + sqrt(2)*(255964917914376199*x^24 + 2378265999782735342*x^23 - 10723699406875401436*x^22 - 34884403219165654778*x^21 + 93953387409611786046*x^20 + 253421004867879632674*x^19 - 344419433727703157868*x^18 - 1002660055585799007654*x^17 + 598091993726342289097*x^16 + 2206109898157584293772*x^15 - 695096131692662787768*x^14 - 3171896094005833352900*x^13 + 694108138803077006308*x^12 + 3171896094005833352900*x^11 - 695096131692662787768*x^10 - 2206109898157584293772*x^9 + 598091993726342289097*x^8 + 1002660055585799007654*x^7 - 344419433727703157868*x^6 - 253421004867879632674*x^5 + 93953387409611786046*x^4 + 34884403219165654778*x^3 - 10723699406875401436*x^2 - 2378265999782735342*x + 255964917914376199)) + 16*13^(1/4)*(sqrt(13)*sqrt(2)*(10624231800639100*x^24 + 80728789199165240*x^23 - 453437665552960801*x^22 - 1361343207830720927*x^21 + 4509496134229422087*x^20 + 11529111171725879005*x^19 - 19238646913942275477*x^18 - 53837830579514157270*x^17 + 39389350688620333912*x^16 + 138078999987416412018*x^15 - 45152999655828310218*x^14 - 212071343879066457860*x^13 + 43690224455383154506*x^12 + 212071343879066457860*x^11 - 45152999655828310218*x^10 - 138078999987416412018*x^9 + 39389350688620333912*x^8 + 53837830579514157270*x^7 - 19238646913942275477*x^6 - 11529111171725879005*x^5 + 4509496134229422087*x^4 + 1361343207830720927*x^3 - 453437665552960801*x^2 - 80728789199165240*x + 10624231800639100) + 13*sqrt(2)*(3882779405827700*x^24 + 28606444435892680*x^23 - 227641579389617987*x^22 - 198956183337105013*x^21 + 2168414620505808021*x^20 + 1093374150915552911*x^19 - 10049115354907453191*x^18 - 4545138448499822946*x^17 + 26948863273874260376*x^16 + 10958614328214418326*x^15 - 47994628464112587318*x^14 - 17184519112020979516*x^13 + 57842201375545723838*x^12 + 17184519112020979516*x^11 - 47994628464112587318*x^10 - 10958614328214418326*x^9 + 26948863273874260376*x^8 + 4545138448499822946*x^7 - 10049115354907453191*x^6 - 1093374150915552911*x^5 + 2168414620505808021*x^4 + 198956183337105013*x^3 - 227641579389617987*x^2 - 28606444435892680*x + 3882779405827700)))*sqrt(3*sqrt(13) + 13))*sqrt((52*x^4 + 52*x^3 + 13^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(sqrt(13)*sqrt(2)*(x^2 + 2*x - 1) + sqrt(2)*(5*x^2 - 2*x - 5))*sqrt(3*sqrt(13) + 13) - 52*x^2 + sqrt(13)*(17*x^4 + 20*x^3 - 26*x^2 - 20*x + 17) - 52*x + 52)/(x^4 + 2*x^2 + 1)) + 293046*sqrt(13)*(864908224669831*x^24 + 10355522400887124*x^23 - 17384091301118312*x^22 - 126742456591014836*x^21 + 22231314006511958*x^20 + 520289532650388676*x^19 + 298321626941299512*x^18 - 528293883094391716*x^17 - 389743086866628119*x^16 - 210204858921706104*x^15 - 266798576314259920*x^14 + 975476535814976248*x^13 + 761571647922735220*x^12 - 975476535814976248*x^11 - 266798576314259920*x^10 + 210204858921706104*x^9 - 389743086866628119*x^8 + 528293883094391716*x^7 + 298321626941299512*x^6 - 520289532650388676*x^5 + 22231314006511958*x^4 + 126742456591014836*x^3 - 17384091301118312*x^2 - 10355522400887124*x + 864908224669831) + 2344368*sqrt(13)*(6297682684370*x^24 - 199950327117651*x^23 - 995766583461953*x^22 + 3494940283605122*x^21 + 11259696068148532*x^20 - 11251123247802050*x^19 - 43365133169916061*x^18 - 7137738820792145*x^17 + 29711549278992846*x^16 + 14458141654548170*x^15 + 42344219995051230*x^14 + 6649866616815492*x^13 - 85988445576305064*x^12 - 6649866616815492*x^11 + 42344219995051230*x^10 - 14458141654548170*x^9 + 29711549278992846*x^8 + 7137738820792145*x^7 - 43365133169916061*x^6 + 11251123247802050*x^5 + 11259696068148532*x^4 - 3494940283605122*x^3 - 995766583461953*x^2 + sqrt(13)*(20927774353570*x^24 + 130384064414589*x^23 - 1832539639466373*x^22 - 378588130924562*x^21 + 21380590264585528*x^20 + 4744891377887298*x^19 - 116038978593664721*x^18 - 50745796110773153*x^17 + 338872085186622574*x^16 + 188797691491908298*x^15 - 600518166018256810*x^14 - 335968273816529348*x^13 + 718884696204352368*x^12 + 335968273816529348*x^11 - 600518166018256810*x^10 - 188797691491908298*x^9 + 338872085186622574*x^8 + 50745796110773153*x^7 - 116038978593664721*x^6 - 4744891377887298*x^5 + 21380590264585528*x^4 + 378588130924562*x^3 - 1832539639466373*x^2 - 130384064414589*x + 20927774353570) + 199950327117651*x + 6297682684370) - 4743900311019108485688*x + 303466516831856398098)/(2619839878947519387*x^24 + 56875992053837531104*x^23 + 131959371237747999396*x^22 - 2182804951517679993984*x^21 - 834435940279923178058*x^20 + 19080490944149866629376*x^19 + 7572391123444752820884*x^18 - 80627449581147817109984*x^17 - 42572148062363848355915*x^16 + 186546831575976527374656*x^15 + 105848256468770974999240*x^14 - 273413685733714921314176*x^13 - 139929639991653442404876*x^12 + 273413685733714921314176*x^11 + 105848256468770974999240*x^10 - 186546831575976527374656*x^9 - 42572148062363848355915*x^8 + 80627449581147817109984*x^7 + 7572391123444752820884*x^6 - 19080490944149866629376*x^5 - 834435940279923178058*x^4 + 2182804951517679993984*x^3 + 131959371237747999396*x^2 - 56875992053837531104*x + 2619839878947519387)) + 1/2*log(-(x^2 + 2*x - 2*sqrt(x^4 + x^3 - x^2 - x + 1) - 1)/(x^2 - 1))","B",0
2109,1,212,0,0.517961," ","integrate(1/x^5/(a*x^4-b)^(3/4),x, algorithm=""fricas"")","\frac{12 \, b x^{4} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}} a b^{5} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{3}{4}} - \sqrt{b^{4} \sqrt{-\frac{a^{4}}{b^{7}}} + \sqrt{a x^{4} - b} a^{2}} b^{5} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{3}{4}}}{a^{4}}\right) + 3 \, b x^{4} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \log\left(3 \, b^{2} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} + 3 \, {\left(a x^{4} - b\right)}^{\frac{1}{4}} a\right) - 3 \, b x^{4} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \log\left(-3 \, b^{2} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} + 3 \, {\left(a x^{4} - b\right)}^{\frac{1}{4}} a\right) + 4 \, {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{16 \, b x^{4}}"," ",0,"1/16*(12*b*x^4*(-a^4/b^7)^(1/4)*arctan(-((a*x^4 - b)^(1/4)*a*b^5*(-a^4/b^7)^(3/4) - sqrt(b^4*sqrt(-a^4/b^7) + sqrt(a*x^4 - b)*a^2)*b^5*(-a^4/b^7)^(3/4))/a^4) + 3*b*x^4*(-a^4/b^7)^(1/4)*log(3*b^2*(-a^4/b^7)^(1/4) + 3*(a*x^4 - b)^(1/4)*a) - 3*b*x^4*(-a^4/b^7)^(1/4)*log(-3*b^2*(-a^4/b^7)^(1/4) + 3*(a*x^4 - b)^(1/4)*a) + 4*(a*x^4 - b)^(1/4))/(b*x^4)","A",0
2110,-1,0,0,0.000000," ","integrate((a*b^3-2*(3*a-b)*b^2*x+3*(3*a-b)*b*x^2-4*a*x^3+x^4)/(x*(-a+x)*(-b+x)^3)^(1/4)/(a^3-(b^3*d+3*a^2)*x+3*(b^2*d+a)*x^2-(3*b*d+1)*x^3+d*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2111,1,212,0,0.524651," ","integrate(1/x^6/(a*x^5-b)^(3/4),x, algorithm=""fricas"")","\frac{12 \, b x^{5} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{5} - b\right)}^{\frac{1}{4}} a b^{5} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{3}{4}} - \sqrt{b^{4} \sqrt{-\frac{a^{4}}{b^{7}}} + \sqrt{a x^{5} - b} a^{2}} b^{5} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{3}{4}}}{a^{4}}\right) + 3 \, b x^{5} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \log\left(3 \, b^{2} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} + 3 \, {\left(a x^{5} - b\right)}^{\frac{1}{4}} a\right) - 3 \, b x^{5} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \log\left(-3 \, b^{2} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} + 3 \, {\left(a x^{5} - b\right)}^{\frac{1}{4}} a\right) + 4 \, {\left(a x^{5} - b\right)}^{\frac{1}{4}}}{20 \, b x^{5}}"," ",0,"1/20*(12*b*x^5*(-a^4/b^7)^(1/4)*arctan(-((a*x^5 - b)^(1/4)*a*b^5*(-a^4/b^7)^(3/4) - sqrt(b^4*sqrt(-a^4/b^7) + sqrt(a*x^5 - b)*a^2)*b^5*(-a^4/b^7)^(3/4))/a^4) + 3*b*x^5*(-a^4/b^7)^(1/4)*log(3*b^2*(-a^4/b^7)^(1/4) + 3*(a*x^5 - b)^(1/4)*a) - 3*b*x^5*(-a^4/b^7)^(1/4)*log(-3*b^2*(-a^4/b^7)^(1/4) + 3*(a*x^5 - b)^(1/4)*a) + 4*(a*x^5 - b)^(1/4))/(b*x^5)","A",0
2112,1,209,0,0.485810," ","integrate(1/x^7/(a*x^6-b)^(3/4),x, algorithm=""fricas"")","\frac{12 \, b x^{6} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{6} - b\right)}^{\frac{1}{4}} a b^{5} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{3}{4}} - \sqrt{b^{4} \sqrt{-\frac{a^{4}}{b^{7}}} + \sqrt{a x^{6} - b} a^{2}} b^{5} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{3}{4}}}{a^{4}}\right) + 3 \, b x^{6} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \log\left(b^{2} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} + {\left(a x^{6} - b\right)}^{\frac{1}{4}} a\right) - 3 \, b x^{6} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} \log\left(-b^{2} \left(-\frac{a^{4}}{b^{7}}\right)^{\frac{1}{4}} + {\left(a x^{6} - b\right)}^{\frac{1}{4}} a\right) + 4 \, {\left(a x^{6} - b\right)}^{\frac{1}{4}}}{24 \, b x^{6}}"," ",0,"1/24*(12*b*x^6*(-a^4/b^7)^(1/4)*arctan(-((a*x^6 - b)^(1/4)*a*b^5*(-a^4/b^7)^(3/4) - sqrt(b^4*sqrt(-a^4/b^7) + sqrt(a*x^6 - b)*a^2)*b^5*(-a^4/b^7)^(3/4))/a^4) + 3*b*x^6*(-a^4/b^7)^(1/4)*log(b^2*(-a^4/b^7)^(1/4) + (a*x^6 - b)^(1/4)*a) - 3*b*x^6*(-a^4/b^7)^(1/4)*log(-b^2*(-a^4/b^7)^(1/4) + (a*x^6 - b)^(1/4)*a) + 4*(a*x^6 - b)^(1/4))/(b*x^6)","A",0
2113,1,127,0,0.788225," ","integrate((a^6*x^6+b^6)/(a^4*x^4+b^4)^(1/2)/(a^6*x^6-b^6),x, algorithm=""fricas"")","\frac{\sqrt{2} \log\left(\frac{a^{4} x^{4} + 2 \, a^{2} b^{2} x^{2} + b^{4} - 2 \, \sqrt{2} \sqrt{a^{4} x^{4} + b^{4}} a b x}{a^{4} x^{4} - 2 \, a^{2} b^{2} x^{2} + b^{4}}\right) - 4 \, \arctan\left(\frac{2 \, \sqrt{a^{4} x^{4} + b^{4}} a b x}{a^{4} x^{4} - a^{2} b^{2} x^{2} + b^{4}}\right)}{12 \, a b}"," ",0,"1/12*(sqrt(2)*log((a^4*x^4 + 2*a^2*b^2*x^2 + b^4 - 2*sqrt(2)*sqrt(a^4*x^4 + b^4)*a*b*x)/(a^4*x^4 - 2*a^2*b^2*x^2 + b^4)) - 4*arctan(2*sqrt(a^4*x^4 + b^4)*a*b*x/(a^4*x^4 - a^2*b^2*x^2 + b^4)))/(a*b)","A",0
2114,1,153,0,3.758413," ","integrate((x^2-1)^(1/2)*(x^2+x*(x^2-1)^(1/2))^(1/2)/(1+x),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{x^{2} + \sqrt{x^{2} - 1} x} {\left(x - 3 \, \sqrt{x^{2} - 1} + 4\right)} + \frac{1}{4} \, \sqrt{2} \log\left(4 \, x^{2} - 2 \, {\left(2 \, \sqrt{2} \sqrt{x^{2} - 1} x - \sqrt{2} {\left(2 \, x^{2} - 1\right)}\right)} \sqrt{x^{2} + \sqrt{x^{2} - 1} x} - 4 \, \sqrt{x^{2} - 1} x - 1\right) + \frac{3}{16} \, \sqrt{2} \log\left(-4 \, x^{2} - 2 \, \sqrt{x^{2} + \sqrt{x^{2} - 1} x} {\left(\sqrt{2} x + \sqrt{2} \sqrt{x^{2} - 1}\right)} - 4 \, \sqrt{x^{2} - 1} x + 1\right)"," ",0,"-1/4*sqrt(x^2 + sqrt(x^2 - 1)*x)*(x - 3*sqrt(x^2 - 1) + 4) + 1/4*sqrt(2)*log(4*x^2 - 2*(2*sqrt(2)*sqrt(x^2 - 1)*x - sqrt(2)*(2*x^2 - 1))*sqrt(x^2 + sqrt(x^2 - 1)*x) - 4*sqrt(x^2 - 1)*x - 1) + 3/16*sqrt(2)*log(-4*x^2 - 2*sqrt(x^2 + sqrt(x^2 - 1)*x)*(sqrt(2)*x + sqrt(2)*sqrt(x^2 - 1)) - 4*sqrt(x^2 - 1)*x + 1)","A",0
2115,1,499,0,11.139541," ","integrate((x^4+1)*(1+(x^2+1)^(1/2))^(1/2)/(x^4-1),x, algorithm=""fricas"")","-\frac{12 \, x \sqrt{\sqrt{2} - 1} \arctan\left(\frac{{\left(51 \, x^{5} - 222 \, x^{3} - 2 \, \sqrt{2} {\left(5 \, x^{5} - 163 \, x^{3} - 46 \, x\right)} + 2 \, {\left(31 \, x^{3} + \sqrt{2} {\left(41 \, x^{3} - 81 \, x\right)} + 173 \, x\right)} \sqrt{x^{2} + 1} + 11 \, x\right)} \sqrt{3821 \, \sqrt{2} + 4841} \sqrt{\sqrt{2} - 1} + 4802 \, {\left(x^{4} + \sqrt{2} {\left(x^{4} - 3 \, x^{2} - 2\right)} + {\left(3 \, x^{2} + 2 \, \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{x^{2} + 1} - 1\right)} \sqrt{\sqrt{2} - 1} \sqrt{\sqrt{x^{2} + 1} + 1}}{2401 \, {\left(x^{5} - 10 \, x^{3} - 7 \, x\right)}}\right) + 3 \, x \sqrt{\sqrt{2} + 1} \log\left(-\frac{{\left(71 \, x^{3} - \sqrt{2} {\left(61 \, x^{3} + 325 \, x\right)} + 2 \, \sqrt{x^{2} + 1} {\left(132 \, \sqrt{2} x - 193 \, x\right)} + 457 \, x\right)} \sqrt{\sqrt{2} + 1} + 2 \, {\left(71 \, x^{2} - \sqrt{2} {\left(61 \, x^{2} + 132\right)} + \sqrt{x^{2} + 1} {\left(132 \, \sqrt{2} - 193\right)} + 193\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{x^{3} - x}\right) - 3 \, x \sqrt{\sqrt{2} + 1} \log\left(\frac{{\left(71 \, x^{3} - \sqrt{2} {\left(61 \, x^{3} + 325 \, x\right)} + 2 \, \sqrt{x^{2} + 1} {\left(132 \, \sqrt{2} x - 193 \, x\right)} + 457 \, x\right)} \sqrt{\sqrt{2} + 1} - 2 \, {\left(71 \, x^{2} - \sqrt{2} {\left(61 \, x^{2} + 132\right)} + \sqrt{x^{2} + 1} {\left(132 \, \sqrt{2} - 193\right)} + 193\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{x^{3} - x}\right) - 6 \, x \arctan\left(\frac{4 \, {\left(x^{4} - 12 \, x^{2} + {\left(5 \, x^{2} - 3\right)} \sqrt{x^{2} + 1} + 3\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{x^{5} - 46 \, x^{3} + 17 \, x}\right) - 8 \, {\left(x^{2} + \sqrt{x^{2} + 1} - 1\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{12 \, x}"," ",0,"-1/12*(12*x*sqrt(sqrt(2) - 1)*arctan(1/2401*((51*x^5 - 222*x^3 - 2*sqrt(2)*(5*x^5 - 163*x^3 - 46*x) + 2*(31*x^3 + sqrt(2)*(41*x^3 - 81*x) + 173*x)*sqrt(x^2 + 1) + 11*x)*sqrt(3821*sqrt(2) + 4841)*sqrt(sqrt(2) - 1) + 4802*(x^4 + sqrt(2)*(x^4 - 3*x^2 - 2) + (3*x^2 + 2*sqrt(2)*(x^2 + 1) + 1)*sqrt(x^2 + 1) - 1)*sqrt(sqrt(2) - 1)*sqrt(sqrt(x^2 + 1) + 1))/(x^5 - 10*x^3 - 7*x)) + 3*x*sqrt(sqrt(2) + 1)*log(-((71*x^3 - sqrt(2)*(61*x^3 + 325*x) + 2*sqrt(x^2 + 1)*(132*sqrt(2)*x - 193*x) + 457*x)*sqrt(sqrt(2) + 1) + 2*(71*x^2 - sqrt(2)*(61*x^2 + 132) + sqrt(x^2 + 1)*(132*sqrt(2) - 193) + 193)*sqrt(sqrt(x^2 + 1) + 1))/(x^3 - x)) - 3*x*sqrt(sqrt(2) + 1)*log(((71*x^3 - sqrt(2)*(61*x^3 + 325*x) + 2*sqrt(x^2 + 1)*(132*sqrt(2)*x - 193*x) + 457*x)*sqrt(sqrt(2) + 1) - 2*(71*x^2 - sqrt(2)*(61*x^2 + 132) + sqrt(x^2 + 1)*(132*sqrt(2) - 193) + 193)*sqrt(sqrt(x^2 + 1) + 1))/(x^3 - x)) - 6*x*arctan(4*(x^4 - 12*x^2 + (5*x^2 - 3)*sqrt(x^2 + 1) + 3)*sqrt(sqrt(x^2 + 1) + 1)/(x^5 - 46*x^3 + 17*x)) - 8*(x^2 + sqrt(x^2 + 1) - 1)*sqrt(sqrt(x^2 + 1) + 1))/x","B",0
2116,-1,0,0,0.000000," ","integrate((a*x^2-b^2)/(a*x^2+b^2)/(b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2117,1,66,0,0.568797," ","integrate(x/(1+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=""fricas"")","\frac{1}{4} \, x^{2} - \frac{1}{3} \, {\left(x^{2} - \sqrt{x^{2} + 1} {\left(x - 1\right)} - 2 \, x - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}} - \frac{1}{4} \, \sqrt{x^{2} + 1} x - \frac{1}{2} \, x - \frac{1}{2} \, \log\left(\sqrt{x + \sqrt{x^{2} + 1}}\right)"," ",0,"1/4*x^2 - 1/3*(x^2 - sqrt(x^2 + 1)*(x - 1) - 2*x - 1)*sqrt(x + sqrt(x^2 + 1)) - 1/4*sqrt(x^2 + 1)*x - 1/2*x - 1/2*log(sqrt(x + sqrt(x^2 + 1)))","A",0
2118,-1,0,0,0.000000," ","integrate((-2*x+(1+k)*x^2)/((1-x)*x*(-k*x+1))^(2/3)/(b-b*(1+k)*x+(b*k-1)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2119,1,1180,0,74.446928," ","integrate((a*x^2-b)*(a*x^3-b*x)^(1/2)/x^2/(a*x^2+b),x, algorithm=""fricas"")","-\frac{4 \cdot 4^{\frac{1}{4}} \left(-a b\right)^{\frac{1}{4}} x \arctan\left(-\frac{8 \, \sqrt{a x^{3} - b x} {\left(4^{\frac{3}{4}} {\left(4 \, a^{4} b + 9 \, a^{3} b^{2} + 6 \, a^{2} b^{3} + a b^{4}\right)} \left(-a b\right)^{\frac{3}{4}} x - 4^{\frac{1}{4}} {\left(4 \, a^{4} b^{2} + 9 \, a^{3} b^{3} + 6 \, a^{2} b^{4} + a b^{5} - {\left(4 \, a^{5} b + 9 \, a^{4} b^{2} + 6 \, a^{3} b^{3} + a^{2} b^{4}\right)} x^{2}\right)} \left(-a b\right)^{\frac{1}{4}}\right)} + \sqrt{-160 \, a^{4} b + 352 \, a^{3} b^{2} - 64 \, a^{2} b^{3} + 8 \, {\left(4 \, a^{4} - 41 \, a^{3} b + 26 \, a^{2} b^{2} - a b^{3}\right)} \sqrt{-a b}} {\left(4^{\frac{3}{4}} {\left({\left(a^{3} - 2 \, a^{2} b\right)} x^{4} + 2 \, {\left(5 \, a^{2} b - a b^{2}\right)} x^{3} + a b^{2} - 2 \, b^{3} - 6 \, {\left(a^{2} b - 2 \, a b^{2}\right)} x^{2} - 2 \, {\left(5 \, a b^{2} - b^{3}\right)} x\right)} \left(-a b\right)^{\frac{3}{4}} + 4^{\frac{1}{4}} {\left({\left(5 \, a^{3} b - a^{2} b^{2}\right)} x^{4} + 5 \, a b^{3} - b^{4} - 8 \, {\left(a^{3} b - 2 \, a^{2} b^{2}\right)} x^{3} - 6 \, {\left(5 \, a^{2} b^{2} - a b^{3}\right)} x^{2} + 8 \, {\left(a^{2} b^{2} - 2 \, a b^{3}\right)} x\right)} \left(-a b\right)^{\frac{1}{4}}\right)}}{4 \, {\left(4 \, a^{4} b^{3} + 9 \, a^{3} b^{4} + 6 \, a^{2} b^{5} + a b^{6} + {\left(4 \, a^{6} b + 9 \, a^{5} b^{2} + 6 \, a^{4} b^{3} + a^{3} b^{4}\right)} x^{4} + 2 \, {\left(4 \, a^{5} b^{2} + 9 \, a^{4} b^{3} + 6 \, a^{3} b^{4} + a^{2} b^{5}\right)} x^{2}\right)}}\right) + 4^{\frac{1}{4}} \left(-a b\right)^{\frac{1}{4}} x \log\left(\frac{4^{\frac{3}{4}} {\left({\left(5 \, a^{3} - a^{2} b\right)} x^{4} - 8 \, {\left(a^{3} - 2 \, a^{2} b\right)} x^{3} + 5 \, a b^{2} - b^{3} - 6 \, {\left(5 \, a^{2} b - a b^{2}\right)} x^{2} + 8 \, {\left(a^{2} b - 2 \, a b^{2}\right)} x\right)} \left(-a b\right)^{\frac{3}{4}} + 8 \, {\left(5 \, a^{2} b^{2} - a b^{3} - {\left(5 \, a^{3} b - a^{2} b^{2}\right)} x^{2} + 4 \, {\left(a^{3} b - 2 \, a^{2} b^{2}\right)} x + 2 \, {\left(a^{2} b - 2 \, a b^{2} - {\left(a^{3} - 2 \, a^{2} b\right)} x^{2} - {\left(5 \, a^{2} b - a b^{2}\right)} x\right)} \sqrt{-a b}\right)} \sqrt{a x^{3} - b x} - 4 \cdot 4^{\frac{1}{4}} {\left({\left(a^{4} - 2 \, a^{3} b\right)} x^{4} + a^{2} b^{2} - 2 \, a b^{3} + 2 \, {\left(5 \, a^{3} b - a^{2} b^{2}\right)} x^{3} - 6 \, {\left(a^{3} b - 2 \, a^{2} b^{2}\right)} x^{2} - 2 \, {\left(5 \, a^{2} b^{2} - a b^{3}\right)} x\right)} \left(-a b\right)^{\frac{1}{4}}}{a^{2} x^{4} + 2 \, a b x^{2} + b^{2}}\right) - 4^{\frac{1}{4}} \left(-a b\right)^{\frac{1}{4}} x \log\left(-\frac{4^{\frac{3}{4}} {\left({\left(5 \, a^{3} - a^{2} b\right)} x^{4} - 8 \, {\left(a^{3} - 2 \, a^{2} b\right)} x^{3} + 5 \, a b^{2} - b^{3} - 6 \, {\left(5 \, a^{2} b - a b^{2}\right)} x^{2} + 8 \, {\left(a^{2} b - 2 \, a b^{2}\right)} x\right)} \left(-a b\right)^{\frac{3}{4}} - 8 \, {\left(5 \, a^{2} b^{2} - a b^{3} - {\left(5 \, a^{3} b - a^{2} b^{2}\right)} x^{2} + 4 \, {\left(a^{3} b - 2 \, a^{2} b^{2}\right)} x + 2 \, {\left(a^{2} b - 2 \, a b^{2} - {\left(a^{3} - 2 \, a^{2} b\right)} x^{2} - {\left(5 \, a^{2} b - a b^{2}\right)} x\right)} \sqrt{-a b}\right)} \sqrt{a x^{3} - b x} - 4 \cdot 4^{\frac{1}{4}} {\left({\left(a^{4} - 2 \, a^{3} b\right)} x^{4} + a^{2} b^{2} - 2 \, a b^{3} + 2 \, {\left(5 \, a^{3} b - a^{2} b^{2}\right)} x^{3} - 6 \, {\left(a^{3} b - 2 \, a^{2} b^{2}\right)} x^{2} - 2 \, {\left(5 \, a^{2} b^{2} - a b^{3}\right)} x\right)} \left(-a b\right)^{\frac{1}{4}}}{a^{2} x^{4} + 2 \, a b x^{2} + b^{2}}\right) - 8 \, \sqrt{a x^{3} - b x}}{4 \, x}"," ",0,"-1/4*(4*4^(1/4)*(-a*b)^(1/4)*x*arctan(-1/4*(8*sqrt(a*x^3 - b*x)*(4^(3/4)*(4*a^4*b + 9*a^3*b^2 + 6*a^2*b^3 + a*b^4)*(-a*b)^(3/4)*x - 4^(1/4)*(4*a^4*b^2 + 9*a^3*b^3 + 6*a^2*b^4 + a*b^5 - (4*a^5*b + 9*a^4*b^2 + 6*a^3*b^3 + a^2*b^4)*x^2)*(-a*b)^(1/4)) + sqrt(-160*a^4*b + 352*a^3*b^2 - 64*a^2*b^3 + 8*(4*a^4 - 41*a^3*b + 26*a^2*b^2 - a*b^3)*sqrt(-a*b))*(4^(3/4)*((a^3 - 2*a^2*b)*x^4 + 2*(5*a^2*b - a*b^2)*x^3 + a*b^2 - 2*b^3 - 6*(a^2*b - 2*a*b^2)*x^2 - 2*(5*a*b^2 - b^3)*x)*(-a*b)^(3/4) + 4^(1/4)*((5*a^3*b - a^2*b^2)*x^4 + 5*a*b^3 - b^4 - 8*(a^3*b - 2*a^2*b^2)*x^3 - 6*(5*a^2*b^2 - a*b^3)*x^2 + 8*(a^2*b^2 - 2*a*b^3)*x)*(-a*b)^(1/4)))/(4*a^4*b^3 + 9*a^3*b^4 + 6*a^2*b^5 + a*b^6 + (4*a^6*b + 9*a^5*b^2 + 6*a^4*b^3 + a^3*b^4)*x^4 + 2*(4*a^5*b^2 + 9*a^4*b^3 + 6*a^3*b^4 + a^2*b^5)*x^2)) + 4^(1/4)*(-a*b)^(1/4)*x*log((4^(3/4)*((5*a^3 - a^2*b)*x^4 - 8*(a^3 - 2*a^2*b)*x^3 + 5*a*b^2 - b^3 - 6*(5*a^2*b - a*b^2)*x^2 + 8*(a^2*b - 2*a*b^2)*x)*(-a*b)^(3/4) + 8*(5*a^2*b^2 - a*b^3 - (5*a^3*b - a^2*b^2)*x^2 + 4*(a^3*b - 2*a^2*b^2)*x + 2*(a^2*b - 2*a*b^2 - (a^3 - 2*a^2*b)*x^2 - (5*a^2*b - a*b^2)*x)*sqrt(-a*b))*sqrt(a*x^3 - b*x) - 4*4^(1/4)*((a^4 - 2*a^3*b)*x^4 + a^2*b^2 - 2*a*b^3 + 2*(5*a^3*b - a^2*b^2)*x^3 - 6*(a^3*b - 2*a^2*b^2)*x^2 - 2*(5*a^2*b^2 - a*b^3)*x)*(-a*b)^(1/4))/(a^2*x^4 + 2*a*b*x^2 + b^2)) - 4^(1/4)*(-a*b)^(1/4)*x*log(-(4^(3/4)*((5*a^3 - a^2*b)*x^4 - 8*(a^3 - 2*a^2*b)*x^3 + 5*a*b^2 - b^3 - 6*(5*a^2*b - a*b^2)*x^2 + 8*(a^2*b - 2*a*b^2)*x)*(-a*b)^(3/4) - 8*(5*a^2*b^2 - a*b^3 - (5*a^3*b - a^2*b^2)*x^2 + 4*(a^3*b - 2*a^2*b^2)*x + 2*(a^2*b - 2*a*b^2 - (a^3 - 2*a^2*b)*x^2 - (5*a^2*b - a*b^2)*x)*sqrt(-a*b))*sqrt(a*x^3 - b*x) - 4*4^(1/4)*((a^4 - 2*a^3*b)*x^4 + a^2*b^2 - 2*a*b^3 + 2*(5*a^3*b - a^2*b^2)*x^3 - 6*(a^3*b - 2*a^2*b^2)*x^2 - 2*(5*a^2*b^2 - a*b^3)*x)*(-a*b)^(1/4))/(a^2*x^4 + 2*a*b*x^2 + b^2)) - 8*sqrt(a*x^3 - b*x))/x","B",0
2120,1,765,0,0.502866," ","integrate((x^4-x^3)^(1/4)/x/(x^3+1),x, algorithm=""fricas"")","\frac{1}{12} \, {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} \log\left(\frac{8 \, {\left(2 \, x^{2} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) - \frac{1}{12} \, {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} \log\left(\frac{8 \, {\left(2 \, x^{2} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) - \frac{1}{6} \, \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} \log\left(\frac{16 \, {\left(x^{2} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) + \frac{1}{6} \, \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} \log\left(\frac{16 \, {\left(x^{2} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) - \frac{1}{3} \, \sqrt{-4 \, \sqrt{3} + 8} \arctan\left(\frac{\sqrt{2} x \sqrt{-4 \, \sqrt{3} + 8} \sqrt{\frac{2 \, x^{2} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} + 2 \, \sqrt{3} x - 4 \, x - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \sqrt{-4 \, \sqrt{3} + 8}}{2 \, x}\right) - \frac{1}{3} \, \sqrt{-4 \, \sqrt{3} + 8} \arctan\left(\frac{\sqrt{2} x \sqrt{-4 \, \sqrt{3} + 8} \sqrt{\frac{2 \, x^{2} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \, \sqrt{3} x + 4 \, x - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \sqrt{-4 \, \sqrt{3} + 8}}{2 \, x}\right) - \frac{2}{3} \, \sqrt{\sqrt{3} + 2} \arctan\left(\frac{2 \, x \sqrt{\sqrt{3} + 2} \sqrt{\frac{x^{2} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} - x^{3}}}{x^{2}}} - \sqrt{3} x - 2 \, x - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2}}{x}\right) - \frac{2}{3} \, \sqrt{\sqrt{3} + 2} \arctan\left(\frac{2 \, x \sqrt{\sqrt{3} + 2} \sqrt{\frac{x^{2} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} - x^{3}}}{x^{2}}} + \sqrt{3} x + 2 \, x - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2}}{x}\right) + \frac{4}{3} \cdot 2^{\frac{1}{4}} \arctan\left(\frac{2^{\frac{3}{4}} x \sqrt{\frac{\sqrt{2} x^{2} + \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2^{\frac{3}{4}} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{2 \, x}\right) - \frac{1}{3} \cdot 2^{\frac{1}{4}} \log\left(\frac{2^{\frac{1}{4}} x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{3} \cdot 2^{\frac{1}{4}} \log\left(-\frac{2^{\frac{1}{4}} x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"1/12*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8)*log(8*(2*x^2 + (x^4 - x^3)^(1/4)*x*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 - x^3))/x^2) - 1/12*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8)*log(8*(2*x^2 - (x^4 - x^3)^(1/4)*x*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 - x^3))/x^2) - 1/6*sqrt(sqrt(3) + 2)*(sqrt(3) - 2)*log(16*(x^2 + (x^4 - x^3)^(1/4)*x*sqrt(sqrt(3) + 2) + sqrt(x^4 - x^3))/x^2) + 1/6*sqrt(sqrt(3) + 2)*(sqrt(3) - 2)*log(16*(x^2 - (x^4 - x^3)^(1/4)*x*sqrt(sqrt(3) + 2) + sqrt(x^4 - x^3))/x^2) - 1/3*sqrt(-4*sqrt(3) + 8)*arctan(1/2*(sqrt(2)*x*sqrt(-4*sqrt(3) + 8)*sqrt((2*x^2 + (x^4 - x^3)^(1/4)*x*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 - x^3))/x^2) + 2*sqrt(3)*x - 4*x - 2*(x^4 - x^3)^(1/4)*sqrt(-4*sqrt(3) + 8))/x) - 1/3*sqrt(-4*sqrt(3) + 8)*arctan(1/2*(sqrt(2)*x*sqrt(-4*sqrt(3) + 8)*sqrt((2*x^2 - (x^4 - x^3)^(1/4)*x*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 - x^3))/x^2) - 2*sqrt(3)*x + 4*x - 2*(x^4 - x^3)^(1/4)*sqrt(-4*sqrt(3) + 8))/x) - 2/3*sqrt(sqrt(3) + 2)*arctan((2*x*sqrt(sqrt(3) + 2)*sqrt((x^2 + (x^4 - x^3)^(1/4)*x*sqrt(sqrt(3) + 2) + sqrt(x^4 - x^3))/x^2) - sqrt(3)*x - 2*x - 2*(x^4 - x^3)^(1/4)*sqrt(sqrt(3) + 2))/x) - 2/3*sqrt(sqrt(3) + 2)*arctan((2*x*sqrt(sqrt(3) + 2)*sqrt((x^2 - (x^4 - x^3)^(1/4)*x*sqrt(sqrt(3) + 2) + sqrt(x^4 - x^3))/x^2) + sqrt(3)*x + 2*x - 2*(x^4 - x^3)^(1/4)*sqrt(sqrt(3) + 2))/x) + 4/3*2^(1/4)*arctan(1/2*(2^(3/4)*x*sqrt((sqrt(2)*x^2 + sqrt(x^4 - x^3))/x^2) - 2^(3/4)*(x^4 - x^3)^(1/4))/x) - 1/3*2^(1/4)*log((2^(1/4)*x + (x^4 - x^3)^(1/4))/x) + 1/3*2^(1/4)*log(-(2^(1/4)*x - (x^4 - x^3)^(1/4))/x)","B",0
2121,1,765,0,0.488231," ","integrate((x^4-x^3)^(1/4)/x/(x^3+1),x, algorithm=""fricas"")","\frac{1}{12} \, {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} \log\left(\frac{8 \, {\left(2 \, x^{2} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) - \frac{1}{12} \, {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} \log\left(\frac{8 \, {\left(2 \, x^{2} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) - \frac{1}{6} \, \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} \log\left(\frac{16 \, {\left(x^{2} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) + \frac{1}{6} \, \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} \log\left(\frac{16 \, {\left(x^{2} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) - \frac{1}{3} \, \sqrt{-4 \, \sqrt{3} + 8} \arctan\left(\frac{\sqrt{2} x \sqrt{-4 \, \sqrt{3} + 8} \sqrt{\frac{2 \, x^{2} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} + 2 \, \sqrt{3} x - 4 \, x - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \sqrt{-4 \, \sqrt{3} + 8}}{2 \, x}\right) - \frac{1}{3} \, \sqrt{-4 \, \sqrt{3} + 8} \arctan\left(\frac{\sqrt{2} x \sqrt{-4 \, \sqrt{3} + 8} \sqrt{\frac{2 \, x^{2} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \, \sqrt{3} x + 4 \, x - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \sqrt{-4 \, \sqrt{3} + 8}}{2 \, x}\right) - \frac{2}{3} \, \sqrt{\sqrt{3} + 2} \arctan\left(\frac{2 \, x \sqrt{\sqrt{3} + 2} \sqrt{\frac{x^{2} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} - x^{3}}}{x^{2}}} - \sqrt{3} x - 2 \, x - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2}}{x}\right) - \frac{2}{3} \, \sqrt{\sqrt{3} + 2} \arctan\left(\frac{2 \, x \sqrt{\sqrt{3} + 2} \sqrt{\frac{x^{2} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} - x^{3}}}{x^{2}}} + \sqrt{3} x + 2 \, x - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2}}{x}\right) + \frac{4}{3} \cdot 2^{\frac{1}{4}} \arctan\left(\frac{2^{\frac{3}{4}} x \sqrt{\frac{\sqrt{2} x^{2} + \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2^{\frac{3}{4}} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{2 \, x}\right) - \frac{1}{3} \cdot 2^{\frac{1}{4}} \log\left(\frac{2^{\frac{1}{4}} x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{3} \cdot 2^{\frac{1}{4}} \log\left(-\frac{2^{\frac{1}{4}} x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"1/12*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8)*log(8*(2*x^2 + (x^4 - x^3)^(1/4)*x*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 - x^3))/x^2) - 1/12*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8)*log(8*(2*x^2 - (x^4 - x^3)^(1/4)*x*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 - x^3))/x^2) - 1/6*sqrt(sqrt(3) + 2)*(sqrt(3) - 2)*log(16*(x^2 + (x^4 - x^3)^(1/4)*x*sqrt(sqrt(3) + 2) + sqrt(x^4 - x^3))/x^2) + 1/6*sqrt(sqrt(3) + 2)*(sqrt(3) - 2)*log(16*(x^2 - (x^4 - x^3)^(1/4)*x*sqrt(sqrt(3) + 2) + sqrt(x^4 - x^3))/x^2) - 1/3*sqrt(-4*sqrt(3) + 8)*arctan(1/2*(sqrt(2)*x*sqrt(-4*sqrt(3) + 8)*sqrt((2*x^2 + (x^4 - x^3)^(1/4)*x*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 - x^3))/x^2) + 2*sqrt(3)*x - 4*x - 2*(x^4 - x^3)^(1/4)*sqrt(-4*sqrt(3) + 8))/x) - 1/3*sqrt(-4*sqrt(3) + 8)*arctan(1/2*(sqrt(2)*x*sqrt(-4*sqrt(3) + 8)*sqrt((2*x^2 - (x^4 - x^3)^(1/4)*x*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 - x^3))/x^2) - 2*sqrt(3)*x + 4*x - 2*(x^4 - x^3)^(1/4)*sqrt(-4*sqrt(3) + 8))/x) - 2/3*sqrt(sqrt(3) + 2)*arctan((2*x*sqrt(sqrt(3) + 2)*sqrt((x^2 + (x^4 - x^3)^(1/4)*x*sqrt(sqrt(3) + 2) + sqrt(x^4 - x^3))/x^2) - sqrt(3)*x - 2*x - 2*(x^4 - x^3)^(1/4)*sqrt(sqrt(3) + 2))/x) - 2/3*sqrt(sqrt(3) + 2)*arctan((2*x*sqrt(sqrt(3) + 2)*sqrt((x^2 - (x^4 - x^3)^(1/4)*x*sqrt(sqrt(3) + 2) + sqrt(x^4 - x^3))/x^2) + sqrt(3)*x + 2*x - 2*(x^4 - x^3)^(1/4)*sqrt(sqrt(3) + 2))/x) + 4/3*2^(1/4)*arctan(1/2*(2^(3/4)*x*sqrt((sqrt(2)*x^2 + sqrt(x^4 - x^3))/x^2) - 2^(3/4)*(x^4 - x^3)^(1/4))/x) - 1/3*2^(1/4)*log((2^(1/4)*x + (x^4 - x^3)^(1/4))/x) + 1/3*2^(1/4)*log(-(2^(1/4)*x - (x^4 - x^3)^(1/4))/x)","B",0
2122,1,413,0,74.093989," ","integrate((x^4-3)*(x^4-x^3+1)^(2/3)/x^3/(x^4+x^3+1),x, algorithm=""fricas"")","\frac{2 \cdot 4^{\frac{1}{3}} \sqrt{3} x^{2} \arctan\left(\frac{3 \cdot 4^{\frac{2}{3}} \sqrt{3} {\left(x^{9} - 4 \, x^{8} - 5 \, x^{7} + 2 \, x^{5} - 4 \, x^{4} + x\right)} {\left(x^{4} - x^{3} + 1\right)}^{\frac{2}{3}} - 6 \cdot 4^{\frac{1}{3}} \sqrt{3} {\left(x^{10} - 16 \, x^{9} + 19 \, x^{8} + 2 \, x^{6} - 16 \, x^{5} + x^{2}\right)} {\left(x^{4} - x^{3} + 1\right)}^{\frac{1}{3}} - \sqrt{3} {\left(x^{12} - 33 \, x^{11} + 111 \, x^{10} - 71 \, x^{9} + 3 \, x^{8} - 66 \, x^{7} + 111 \, x^{6} + 3 \, x^{4} - 33 \, x^{3} + 1\right)}}{3 \, {\left(x^{12} + 3 \, x^{11} - 105 \, x^{10} + 109 \, x^{9} + 3 \, x^{8} + 6 \, x^{7} - 105 \, x^{6} + 3 \, x^{4} + 3 \, x^{3} + 1\right)}}\right) + 2 \cdot 4^{\frac{1}{3}} x^{2} \log\left(-\frac{3 \cdot 4^{\frac{2}{3}} {\left(x^{4} - x^{3} + 1\right)}^{\frac{1}{3}} x^{2} + 6 \, {\left(x^{4} - x^{3} + 1\right)}^{\frac{2}{3}} x + 4^{\frac{1}{3}} {\left(x^{4} + x^{3} + 1\right)}}{x^{4} + x^{3} + 1}\right) - 4^{\frac{1}{3}} x^{2} \log\left(-\frac{6 \cdot 4^{\frac{1}{3}} {\left(x^{5} - 5 \, x^{4} + x\right)} {\left(x^{4} - x^{3} + 1\right)}^{\frac{2}{3}} - 4^{\frac{2}{3}} {\left(x^{8} - 16 \, x^{7} + 19 \, x^{6} + 2 \, x^{4} - 16 \, x^{3} + 1\right)} - 24 \, {\left(x^{6} - 2 \, x^{5} + x^{2}\right)} {\left(x^{4} - x^{3} + 1\right)}^{\frac{1}{3}}}{x^{8} + 2 \, x^{7} + x^{6} + 2 \, x^{4} + 2 \, x^{3} + 1}\right) + 9 \, {\left(x^{4} - x^{3} + 1\right)}^{\frac{2}{3}}}{6 \, x^{2}}"," ",0,"1/6*(2*4^(1/3)*sqrt(3)*x^2*arctan(1/3*(3*4^(2/3)*sqrt(3)*(x^9 - 4*x^8 - 5*x^7 + 2*x^5 - 4*x^4 + x)*(x^4 - x^3 + 1)^(2/3) - 6*4^(1/3)*sqrt(3)*(x^10 - 16*x^9 + 19*x^8 + 2*x^6 - 16*x^5 + x^2)*(x^4 - x^3 + 1)^(1/3) - sqrt(3)*(x^12 - 33*x^11 + 111*x^10 - 71*x^9 + 3*x^8 - 66*x^7 + 111*x^6 + 3*x^4 - 33*x^3 + 1))/(x^12 + 3*x^11 - 105*x^10 + 109*x^9 + 3*x^8 + 6*x^7 - 105*x^6 + 3*x^4 + 3*x^3 + 1)) + 2*4^(1/3)*x^2*log(-(3*4^(2/3)*(x^4 - x^3 + 1)^(1/3)*x^2 + 6*(x^4 - x^3 + 1)^(2/3)*x + 4^(1/3)*(x^4 + x^3 + 1))/(x^4 + x^3 + 1)) - 4^(1/3)*x^2*log(-(6*4^(1/3)*(x^5 - 5*x^4 + x)*(x^4 - x^3 + 1)^(2/3) - 4^(2/3)*(x^8 - 16*x^7 + 19*x^6 + 2*x^4 - 16*x^3 + 1) - 24*(x^6 - 2*x^5 + x^2)*(x^4 - x^3 + 1)^(1/3))/(x^8 + 2*x^7 + x^6 + 2*x^4 + 2*x^3 + 1)) + 9*(x^4 - x^3 + 1)^(2/3))/x^2","B",0
2123,-1,0,0,0.000000," ","integrate((a*x^5-4*b)*(a*x^5+b)^(3/4)/x^4/(2*a*x^5+c*x^4+2*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2124,1,1749,0,3.295687," ","integrate((x^6-1)/(x^4+x^2)^(1/3)/(x^6+1),x, algorithm=""fricas"")","\frac{2 \cdot 3^{\frac{5}{6}} {\left(x^{3} + x\right)} \log\left(\frac{2 \cdot 3^{\frac{5}{6}} {\left(13 \, x^{5} - 45 \, x^{4} + 65 \, x^{3} - 45 \, x^{2} + 13 \, x\right)} - 6 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} {\left(26 \, x^{2} + \sqrt{3} {\left(15 \, x^{2} - 26 \, x + 15\right)} - 45 \, x + 26\right)} + 3 \cdot 3^{\frac{1}{3}} {\left(15 \, x^{5} - 52 \, x^{4} + 75 \, x^{3} - 52 \, x^{2} + 15 \, x\right)} + 6 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(3^{\frac{2}{3}} {\left(15 \, x^{3} - 26 \, x^{2} + 15 \, x\right)} + 3^{\frac{1}{6}} {\left(26 \, x^{3} - 45 \, x^{2} + 26 \, x\right)}\right)}}{x^{5} - x^{3} + x}\right) - 2 \cdot 3^{\frac{5}{6}} {\left(x^{3} + x\right)} \log\left(-\frac{2 \cdot 3^{\frac{5}{6}} {\left(13 \, x^{5} - 45 \, x^{4} + 65 \, x^{3} - 45 \, x^{2} + 13 \, x\right)} + 6 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} {\left(26 \, x^{2} - \sqrt{3} {\left(15 \, x^{2} - 26 \, x + 15\right)} - 45 \, x + 26\right)} - 3 \cdot 3^{\frac{1}{3}} {\left(15 \, x^{5} - 52 \, x^{4} + 75 \, x^{3} - 52 \, x^{2} + 15 \, x\right)} - 6 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(3^{\frac{2}{3}} {\left(15 \, x^{3} - 26 \, x^{2} + 15 \, x\right)} - 3^{\frac{1}{6}} {\left(26 \, x^{3} - 45 \, x^{2} + 26 \, x\right)}\right)}}{x^{5} - x^{3} + x}\right) - 3^{\frac{5}{6}} {\left(x^{3} + x\right)} \log\left(\frac{12 \, {\left(1351 \cdot 3^{\frac{2}{3}} {\left(x^{5} - x^{3} + x\right)} + 2 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} {\left(3^{\frac{5}{6}} {\left(1351 \, x^{2} - 2340 \, x + 1351\right)} + 3 \cdot 3^{\frac{1}{3}} {\left(780 \, x^{2} - 1351 \, x + 780\right)}\right)} + 6 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(1351 \, x^{3} - 2340 \, x^{2} + \sqrt{3} {\left(780 \, x^{3} - 1351 \, x^{2} + 780 \, x\right)} + 1351 \, x\right)} + 2340 \cdot 3^{\frac{1}{6}} {\left(x^{5} - x^{3} + x\right)}\right)}}{x^{5} - x^{3} + x}\right) + 3^{\frac{5}{6}} {\left(x^{3} + x\right)} \log\left(\frac{12 \, {\left(1351 \cdot 3^{\frac{2}{3}} {\left(x^{5} - x^{3} + x\right)} - 2 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} {\left(3^{\frac{5}{6}} {\left(1351 \, x^{2} - 2340 \, x + 1351\right)} - 3 \cdot 3^{\frac{1}{3}} {\left(780 \, x^{2} - 1351 \, x + 780\right)}\right)} + 6 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(1351 \, x^{3} - 2340 \, x^{2} - \sqrt{3} {\left(780 \, x^{3} - 1351 \, x^{2} + 780 \, x\right)} + 1351 \, x\right)} - 2340 \cdot 3^{\frac{1}{6}} {\left(x^{5} - x^{3} + x\right)}\right)}}{x^{5} - x^{3} + x}\right) - 12 \cdot 3^{\frac{1}{3}} {\left(x^{3} + x\right)} \arctan\left(\frac{72 \, x^{8} + 72 \, x^{2} + 2 \, \sqrt{3} {\left(2 \cdot 3^{\frac{2}{3}} {\left(13 \, x^{9} - 45 \, x^{8} - 260 \, x^{7} - 540 \, x^{6} - 663 \, x^{5} - 540 \, x^{4} - 260 \, x^{3} - 45 \, x^{2} + 13 \, x\right)} - 12 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} {\left(3^{\frac{5}{6}} {\left(15 \, x^{5} - 104 \, x^{4} - 15 \, x^{3} - 104 \, x^{2} + 15 \, x\right)} - 2 \cdot 3^{\frac{1}{3}} {\left(13 \, x^{5} - 90 \, x^{4} - 13 \, x^{3} - 90 \, x^{2} + 13 \, x\right)}\right)} + 6 \, {\left(26 \, x^{7} - 135 \, x^{6} - 312 \, x^{5} - 405 \, x^{4} - 312 \, x^{3} - 135 \, x^{2} - 3 \, \sqrt{3} {\left(5 \, x^{7} - 26 \, x^{6} - 60 \, x^{5} - 78 \, x^{4} - 60 \, x^{3} - 26 \, x^{2} + 5 \, x\right)} + 26 \, x\right)} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} - 3 \cdot 3^{\frac{1}{6}} {\left(15 \, x^{9} - 52 \, x^{8} - 300 \, x^{7} - 624 \, x^{6} - 765 \, x^{5} - 624 \, x^{4} - 300 \, x^{3} - 52 \, x^{2} + 15 \, x\right)}\right)} \sqrt{\frac{1351 \cdot 3^{\frac{2}{3}} {\left(x^{5} - x^{3} + x\right)} + 2 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} {\left(3^{\frac{5}{6}} {\left(1351 \, x^{2} - 2340 \, x + 1351\right)} + 3 \cdot 3^{\frac{1}{3}} {\left(780 \, x^{2} - 1351 \, x + 780\right)}\right)} + 6 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(1351 \, x^{3} - 2340 \, x^{2} + \sqrt{3} {\left(780 \, x^{3} - 1351 \, x^{2} + 780 \, x\right)} + 1351 \, x\right)} + 2340 \cdot 3^{\frac{1}{6}} {\left(x^{5} - x^{3} + x\right)}}{x^{5} - x^{3} + x}} + 12 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} {\left(3^{\frac{2}{3}} {\left(x^{6} - 12 \, x^{4} - 12 \, x^{2} + 1\right)} + 9 \cdot 3^{\frac{1}{6}} {\left(x^{5} + 3 \, x^{3} + x\right)}\right)} + 3 \, \sqrt{3} {\left(x^{9} + 46 \, x^{7} + 99 \, x^{5} + 46 \, x^{3} + x\right)} + 12 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(3^{\frac{5}{6}} {\left(x^{7} + 12 \, x^{5} + 12 \, x^{3} + x\right)} + 3 \cdot 3^{\frac{1}{3}} {\left(5 \, x^{6} + 7 \, x^{4} + 5 \, x^{2}\right)}\right)}}{9 \, {\left(x^{9} - 50 \, x^{7} - 93 \, x^{5} - 50 \, x^{3} + x\right)}}\right) - 12 \cdot 3^{\frac{1}{3}} {\left(x^{3} + x\right)} \arctan\left(\frac{72 \, x^{8} + 72 \, x^{2} + 2 \, \sqrt{3} {\left(2 \cdot 3^{\frac{2}{3}} {\left(13 \, x^{9} - 45 \, x^{8} - 260 \, x^{7} - 540 \, x^{6} - 663 \, x^{5} - 540 \, x^{4} - 260 \, x^{3} - 45 \, x^{2} + 13 \, x\right)} + 12 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} {\left(3^{\frac{5}{6}} {\left(15 \, x^{5} - 104 \, x^{4} - 15 \, x^{3} - 104 \, x^{2} + 15 \, x\right)} + 2 \cdot 3^{\frac{1}{3}} {\left(13 \, x^{5} - 90 \, x^{4} - 13 \, x^{3} - 90 \, x^{2} + 13 \, x\right)}\right)} + 6 \, {\left(26 \, x^{7} - 135 \, x^{6} - 312 \, x^{5} - 405 \, x^{4} - 312 \, x^{3} - 135 \, x^{2} + 3 \, \sqrt{3} {\left(5 \, x^{7} - 26 \, x^{6} - 60 \, x^{5} - 78 \, x^{4} - 60 \, x^{3} - 26 \, x^{2} + 5 \, x\right)} + 26 \, x\right)} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} + 3 \cdot 3^{\frac{1}{6}} {\left(15 \, x^{9} - 52 \, x^{8} - 300 \, x^{7} - 624 \, x^{6} - 765 \, x^{5} - 624 \, x^{4} - 300 \, x^{3} - 52 \, x^{2} + 15 \, x\right)}\right)} \sqrt{\frac{1351 \cdot 3^{\frac{2}{3}} {\left(x^{5} - x^{3} + x\right)} - 2 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} {\left(3^{\frac{5}{6}} {\left(1351 \, x^{2} - 2340 \, x + 1351\right)} - 3 \cdot 3^{\frac{1}{3}} {\left(780 \, x^{2} - 1351 \, x + 780\right)}\right)} + 6 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(1351 \, x^{3} - 2340 \, x^{2} - \sqrt{3} {\left(780 \, x^{3} - 1351 \, x^{2} + 780 \, x\right)} + 1351 \, x\right)} - 2340 \cdot 3^{\frac{1}{6}} {\left(x^{5} - x^{3} + x\right)}}{x^{5} - x^{3} + x}} + 12 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} {\left(3^{\frac{2}{3}} {\left(x^{6} - 12 \, x^{4} - 12 \, x^{2} + 1\right)} - 9 \cdot 3^{\frac{1}{6}} {\left(x^{5} + 3 \, x^{3} + x\right)}\right)} - 3 \, \sqrt{3} {\left(x^{9} + 46 \, x^{7} + 99 \, x^{5} + 46 \, x^{3} + x\right)} - 12 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(3^{\frac{5}{6}} {\left(x^{7} + 12 \, x^{5} + 12 \, x^{3} + x\right)} - 3 \cdot 3^{\frac{1}{3}} {\left(5 \, x^{6} + 7 \, x^{4} + 5 \, x^{2}\right)}\right)}}{9 \, {\left(x^{9} - 50 \, x^{7} - 93 \, x^{5} - 50 \, x^{3} + x\right)}}\right) - 36 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}}}{36 \, {\left(x^{3} + x\right)}}"," ",0,"1/36*(2*3^(5/6)*(x^3 + x)*log((2*3^(5/6)*(13*x^5 - 45*x^4 + 65*x^3 - 45*x^2 + 13*x) - 6*(x^4 + x^2)^(2/3)*(26*x^2 + sqrt(3)*(15*x^2 - 26*x + 15) - 45*x + 26) + 3*3^(1/3)*(15*x^5 - 52*x^4 + 75*x^3 - 52*x^2 + 15*x) + 6*(x^4 + x^2)^(1/3)*(3^(2/3)*(15*x^3 - 26*x^2 + 15*x) + 3^(1/6)*(26*x^3 - 45*x^2 + 26*x)))/(x^5 - x^3 + x)) - 2*3^(5/6)*(x^3 + x)*log(-(2*3^(5/6)*(13*x^5 - 45*x^4 + 65*x^3 - 45*x^2 + 13*x) + 6*(x^4 + x^2)^(2/3)*(26*x^2 - sqrt(3)*(15*x^2 - 26*x + 15) - 45*x + 26) - 3*3^(1/3)*(15*x^5 - 52*x^4 + 75*x^3 - 52*x^2 + 15*x) - 6*(x^4 + x^2)^(1/3)*(3^(2/3)*(15*x^3 - 26*x^2 + 15*x) - 3^(1/6)*(26*x^3 - 45*x^2 + 26*x)))/(x^5 - x^3 + x)) - 3^(5/6)*(x^3 + x)*log(12*(1351*3^(2/3)*(x^5 - x^3 + x) + 2*(x^4 + x^2)^(2/3)*(3^(5/6)*(1351*x^2 - 2340*x + 1351) + 3*3^(1/3)*(780*x^2 - 1351*x + 780)) + 6*(x^4 + x^2)^(1/3)*(1351*x^3 - 2340*x^2 + sqrt(3)*(780*x^3 - 1351*x^2 + 780*x) + 1351*x) + 2340*3^(1/6)*(x^5 - x^3 + x))/(x^5 - x^3 + x)) + 3^(5/6)*(x^3 + x)*log(12*(1351*3^(2/3)*(x^5 - x^3 + x) - 2*(x^4 + x^2)^(2/3)*(3^(5/6)*(1351*x^2 - 2340*x + 1351) - 3*3^(1/3)*(780*x^2 - 1351*x + 780)) + 6*(x^4 + x^2)^(1/3)*(1351*x^3 - 2340*x^2 - sqrt(3)*(780*x^3 - 1351*x^2 + 780*x) + 1351*x) - 2340*3^(1/6)*(x^5 - x^3 + x))/(x^5 - x^3 + x)) - 12*3^(1/3)*(x^3 + x)*arctan(1/9*(72*x^8 + 72*x^2 + 2*sqrt(3)*(2*3^(2/3)*(13*x^9 - 45*x^8 - 260*x^7 - 540*x^6 - 663*x^5 - 540*x^4 - 260*x^3 - 45*x^2 + 13*x) - 12*(x^4 + x^2)^(2/3)*(3^(5/6)*(15*x^5 - 104*x^4 - 15*x^3 - 104*x^2 + 15*x) - 2*3^(1/3)*(13*x^5 - 90*x^4 - 13*x^3 - 90*x^2 + 13*x)) + 6*(26*x^7 - 135*x^6 - 312*x^5 - 405*x^4 - 312*x^3 - 135*x^2 - 3*sqrt(3)*(5*x^7 - 26*x^6 - 60*x^5 - 78*x^4 - 60*x^3 - 26*x^2 + 5*x) + 26*x)*(x^4 + x^2)^(1/3) - 3*3^(1/6)*(15*x^9 - 52*x^8 - 300*x^7 - 624*x^6 - 765*x^5 - 624*x^4 - 300*x^3 - 52*x^2 + 15*x))*sqrt((1351*3^(2/3)*(x^5 - x^3 + x) + 2*(x^4 + x^2)^(2/3)*(3^(5/6)*(1351*x^2 - 2340*x + 1351) + 3*3^(1/3)*(780*x^2 - 1351*x + 780)) + 6*(x^4 + x^2)^(1/3)*(1351*x^3 - 2340*x^2 + sqrt(3)*(780*x^3 - 1351*x^2 + 780*x) + 1351*x) + 2340*3^(1/6)*(x^5 - x^3 + x))/(x^5 - x^3 + x)) + 12*(x^4 + x^2)^(2/3)*(3^(2/3)*(x^6 - 12*x^4 - 12*x^2 + 1) + 9*3^(1/6)*(x^5 + 3*x^3 + x)) + 3*sqrt(3)*(x^9 + 46*x^7 + 99*x^5 + 46*x^3 + x) + 12*(x^4 + x^2)^(1/3)*(3^(5/6)*(x^7 + 12*x^5 + 12*x^3 + x) + 3*3^(1/3)*(5*x^6 + 7*x^4 + 5*x^2)))/(x^9 - 50*x^7 - 93*x^5 - 50*x^3 + x)) - 12*3^(1/3)*(x^3 + x)*arctan(1/9*(72*x^8 + 72*x^2 + 2*sqrt(3)*(2*3^(2/3)*(13*x^9 - 45*x^8 - 260*x^7 - 540*x^6 - 663*x^5 - 540*x^4 - 260*x^3 - 45*x^2 + 13*x) + 12*(x^4 + x^2)^(2/3)*(3^(5/6)*(15*x^5 - 104*x^4 - 15*x^3 - 104*x^2 + 15*x) + 2*3^(1/3)*(13*x^5 - 90*x^4 - 13*x^3 - 90*x^2 + 13*x)) + 6*(26*x^7 - 135*x^6 - 312*x^5 - 405*x^4 - 312*x^3 - 135*x^2 + 3*sqrt(3)*(5*x^7 - 26*x^6 - 60*x^5 - 78*x^4 - 60*x^3 - 26*x^2 + 5*x) + 26*x)*(x^4 + x^2)^(1/3) + 3*3^(1/6)*(15*x^9 - 52*x^8 - 300*x^7 - 624*x^6 - 765*x^5 - 624*x^4 - 300*x^3 - 52*x^2 + 15*x))*sqrt((1351*3^(2/3)*(x^5 - x^3 + x) - 2*(x^4 + x^2)^(2/3)*(3^(5/6)*(1351*x^2 - 2340*x + 1351) - 3*3^(1/3)*(780*x^2 - 1351*x + 780)) + 6*(x^4 + x^2)^(1/3)*(1351*x^3 - 2340*x^2 - sqrt(3)*(780*x^3 - 1351*x^2 + 780*x) + 1351*x) - 2340*3^(1/6)*(x^5 - x^3 + x))/(x^5 - x^3 + x)) + 12*(x^4 + x^2)^(2/3)*(3^(2/3)*(x^6 - 12*x^4 - 12*x^2 + 1) - 9*3^(1/6)*(x^5 + 3*x^3 + x)) - 3*sqrt(3)*(x^9 + 46*x^7 + 99*x^5 + 46*x^3 + x) - 12*(x^4 + x^2)^(1/3)*(3^(5/6)*(x^7 + 12*x^5 + 12*x^3 + x) - 3*3^(1/3)*(5*x^6 + 7*x^4 + 5*x^2)))/(x^9 - 50*x^7 - 93*x^5 - 50*x^3 + x)) - 36*(x^4 + x^2)^(2/3))/(x^3 + x)","B",0
2125,1,724,0,6.133357," ","integrate((3*x^4+2)^(1/4)*(x^8+6*x^4+4)/x^6/(x^4+1)/(2*x^4+1),x, algorithm=""fricas"")","\frac{100 \, \sqrt{2} x^{5} \arctan\left(-\frac{4 \, x^{8} + 4 \, x^{4} + \sqrt{2} {\left(3 \, x^{4} + 2\right)}^{\frac{3}{4}} x + \sqrt{2} {\left(4 \, x^{7} + 3 \, x^{3}\right)} {\left(3 \, x^{4} + 2\right)}^{\frac{1}{4}} + 2 \, {\left(2 \, x^{6} + x^{2}\right)} \sqrt{3 \, x^{4} + 2} - {\left(4 \, {\left(3 \, x^{4} + 2\right)}^{\frac{3}{4}} x^{5} + \sqrt{2} \sqrt{3 \, x^{4} + 2} x^{2} - \sqrt{2} {\left(4 \, x^{8} + x^{4} - 1\right)} + 2 \, {\left(2 \, x^{7} + x^{3}\right)} {\left(3 \, x^{4} + 2\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{2 \, x^{4} + \sqrt{2} {\left(3 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} + 2 \, \sqrt{3 \, x^{4} + 2} x^{2} + \sqrt{2} {\left(3 \, x^{4} + 2\right)}^{\frac{3}{4}} x + 1}{2 \, x^{4} + 1}} + 1}{8 \, x^{8} + 4 \, x^{4} - 1}\right) - 100 \, \sqrt{2} x^{5} \arctan\left(-\frac{4 \, x^{8} + 4 \, x^{4} - \sqrt{2} {\left(3 \, x^{4} + 2\right)}^{\frac{3}{4}} x - \sqrt{2} {\left(4 \, x^{7} + 3 \, x^{3}\right)} {\left(3 \, x^{4} + 2\right)}^{\frac{1}{4}} + 2 \, {\left(2 \, x^{6} + x^{2}\right)} \sqrt{3 \, x^{4} + 2} - {\left(4 \, {\left(3 \, x^{4} + 2\right)}^{\frac{3}{4}} x^{5} - \sqrt{2} \sqrt{3 \, x^{4} + 2} x^{2} + \sqrt{2} {\left(4 \, x^{8} + x^{4} - 1\right)} + 2 \, {\left(2 \, x^{7} + x^{3}\right)} {\left(3 \, x^{4} + 2\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{2 \, x^{4} - \sqrt{2} {\left(3 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} + 2 \, \sqrt{3 \, x^{4} + 2} x^{2} - \sqrt{2} {\left(3 \, x^{4} + 2\right)}^{\frac{3}{4}} x + 1}{2 \, x^{4} + 1}} + 1}{8 \, x^{8} + 4 \, x^{4} - 1}\right) - 25 \, \sqrt{2} x^{5} \log\left(\frac{4 \, {\left(2 \, x^{4} + \sqrt{2} {\left(3 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} + 2 \, \sqrt{3 \, x^{4} + 2} x^{2} + \sqrt{2} {\left(3 \, x^{4} + 2\right)}^{\frac{3}{4}} x + 1\right)}}{2 \, x^{4} + 1}\right) + 25 \, \sqrt{2} x^{5} \log\left(\frac{4 \, {\left(2 \, x^{4} - \sqrt{2} {\left(3 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} + 2 \, \sqrt{3 \, x^{4} + 2} x^{2} - \sqrt{2} {\left(3 \, x^{4} + 2\right)}^{\frac{3}{4}} x + 1\right)}}{2 \, x^{4} + 1}\right) + 20 \, x^{5} \arctan\left(\frac{{\left(3 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} + {\left(3 \, x^{4} + 2\right)}^{\frac{3}{4}} x}{x^{4} + 1}\right) + 20 \, x^{5} \log\left(-\frac{2 \, x^{4} - {\left(3 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} + \sqrt{3 \, x^{4} + 2} x^{2} - {\left(3 \, x^{4} + 2\right)}^{\frac{3}{4}} x + 1}{x^{4} + 1}\right) + 64 \, {\left(6 \, x^{4} - 1\right)} {\left(3 \, x^{4} + 2\right)}^{\frac{1}{4}}}{80 \, x^{5}}"," ",0,"1/80*(100*sqrt(2)*x^5*arctan(-(4*x^8 + 4*x^4 + sqrt(2)*(3*x^4 + 2)^(3/4)*x + sqrt(2)*(4*x^7 + 3*x^3)*(3*x^4 + 2)^(1/4) + 2*(2*x^6 + x^2)*sqrt(3*x^4 + 2) - (4*(3*x^4 + 2)^(3/4)*x^5 + sqrt(2)*sqrt(3*x^4 + 2)*x^2 - sqrt(2)*(4*x^8 + x^4 - 1) + 2*(2*x^7 + x^3)*(3*x^4 + 2)^(1/4))*sqrt((2*x^4 + sqrt(2)*(3*x^4 + 2)^(1/4)*x^3 + 2*sqrt(3*x^4 + 2)*x^2 + sqrt(2)*(3*x^4 + 2)^(3/4)*x + 1)/(2*x^4 + 1)) + 1)/(8*x^8 + 4*x^4 - 1)) - 100*sqrt(2)*x^5*arctan(-(4*x^8 + 4*x^4 - sqrt(2)*(3*x^4 + 2)^(3/4)*x - sqrt(2)*(4*x^7 + 3*x^3)*(3*x^4 + 2)^(1/4) + 2*(2*x^6 + x^2)*sqrt(3*x^4 + 2) - (4*(3*x^4 + 2)^(3/4)*x^5 - sqrt(2)*sqrt(3*x^4 + 2)*x^2 + sqrt(2)*(4*x^8 + x^4 - 1) + 2*(2*x^7 + x^3)*(3*x^4 + 2)^(1/4))*sqrt((2*x^4 - sqrt(2)*(3*x^4 + 2)^(1/4)*x^3 + 2*sqrt(3*x^4 + 2)*x^2 - sqrt(2)*(3*x^4 + 2)^(3/4)*x + 1)/(2*x^4 + 1)) + 1)/(8*x^8 + 4*x^4 - 1)) - 25*sqrt(2)*x^5*log(4*(2*x^4 + sqrt(2)*(3*x^4 + 2)^(1/4)*x^3 + 2*sqrt(3*x^4 + 2)*x^2 + sqrt(2)*(3*x^4 + 2)^(3/4)*x + 1)/(2*x^4 + 1)) + 25*sqrt(2)*x^5*log(4*(2*x^4 - sqrt(2)*(3*x^4 + 2)^(1/4)*x^3 + 2*sqrt(3*x^4 + 2)*x^2 - sqrt(2)*(3*x^4 + 2)^(3/4)*x + 1)/(2*x^4 + 1)) + 20*x^5*arctan(((3*x^4 + 2)^(1/4)*x^3 + (3*x^4 + 2)^(3/4)*x)/(x^4 + 1)) + 20*x^5*log(-(2*x^4 - (3*x^4 + 2)^(1/4)*x^3 + sqrt(3*x^4 + 2)*x^2 - (3*x^4 + 2)^(3/4)*x + 1)/(x^4 + 1)) + 64*(6*x^4 - 1)*(3*x^4 + 2)^(1/4))/x^5","B",0
2126,1,1214,0,0.544196," ","integrate((x^8-16*x^6+96*x^4-256*x^2+256)^(1/8)/(x^3-1),x, algorithm=""fricas"")","-\frac{1}{63} \cdot 21^{\frac{3}{4}} \sqrt{3} \sqrt{-4 \, \sqrt{21} + 56} \arctan\left(\frac{1}{1764000} \, \sqrt{2} \sqrt{70 \, x^{2} - 21^{\frac{1}{4}} {\left(\sqrt{21} {\left(2 \, x + 3\right)} - 7 \, x + 7\right)} \sqrt{-4 \, \sqrt{21} + 56} + {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}} {\left(21^{\frac{1}{4}} {\left(2 \, \sqrt{21} - 7\right)} \sqrt{-4 \, \sqrt{21} + 56} - 140 \, x - 70\right)} + 70 \, x + 70 \, \sqrt{21} + 70 \, {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{4}} + 70} {\left(\sqrt{35} {\left(21^{\frac{3}{4}} {\left(13 \, \sqrt{21} \sqrt{3} + 57 \, \sqrt{3}\right)} + 3 \cdot 21^{\frac{1}{4}} {\left(11 \, \sqrt{21} \sqrt{3} - 21 \, \sqrt{3}\right)}\right)} \sqrt{-4 \, \sqrt{21} + 56} + 30 \, \sqrt{35} {\left(\sqrt{21} {\left(3 \, \sqrt{21} \sqrt{3} + 7 \, \sqrt{3}\right)} + 63 \, \sqrt{21} \sqrt{3} - 273 \, \sqrt{3}\right)}\right)} + \frac{1}{120} \, \sqrt{21} \sqrt{3} {\left(9 \, x + 4\right)} + \frac{1}{840} \, \sqrt{21} {\left(\sqrt{21} \sqrt{3} {\left(3 \, x + 8\right)} + 7 \, \sqrt{3} {\left(x - 4\right)}\right)} - \frac{1}{40} \, \sqrt{3} {\left(13 \, x + 8\right)} + \frac{1}{25200} \, {\left(21^{\frac{3}{4}} {\left(\sqrt{21} \sqrt{3} {\left(13 \, x + 8\right)} + 3 \, \sqrt{3} {\left(19 \, x + 4\right)}\right)} + 3 \cdot 21^{\frac{1}{4}} {\left(\sqrt{21} \sqrt{3} {\left(11 \, x + 76\right)} - 21 \, \sqrt{3} {\left(x + 16\right)}\right)}\right)} \sqrt{-4 \, \sqrt{21} + 56} - \frac{1}{25200} \, {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}} {\left(30 \, \sqrt{21} {\left(3 \, \sqrt{21} \sqrt{3} + 7 \, \sqrt{3}\right)} + {\left(21^{\frac{3}{4}} {\left(13 \, \sqrt{21} \sqrt{3} + 57 \, \sqrt{3}\right)} + 3 \cdot 21^{\frac{1}{4}} {\left(11 \, \sqrt{21} \sqrt{3} - 21 \, \sqrt{3}\right)}\right)} \sqrt{-4 \, \sqrt{21} + 56} + 1890 \, \sqrt{21} \sqrt{3} - 8190 \, \sqrt{3}\right)}\right) - \frac{1}{63} \cdot 21^{\frac{3}{4}} \sqrt{3} \sqrt{-4 \, \sqrt{21} + 56} \arctan\left(\frac{1}{1764000} \, \sqrt{2} \sqrt{70 \, x^{2} + 21^{\frac{1}{4}} {\left(\sqrt{21} {\left(2 \, x + 3\right)} - 7 \, x + 7\right)} \sqrt{-4 \, \sqrt{21} + 56} - {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}} {\left(21^{\frac{1}{4}} {\left(2 \, \sqrt{21} - 7\right)} \sqrt{-4 \, \sqrt{21} + 56} + 140 \, x + 70\right)} + 70 \, x + 70 \, \sqrt{21} + 70 \, {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{4}} + 70} {\left(\sqrt{35} {\left(21^{\frac{3}{4}} {\left(13 \, \sqrt{21} \sqrt{3} + 57 \, \sqrt{3}\right)} + 3 \cdot 21^{\frac{1}{4}} {\left(11 \, \sqrt{21} \sqrt{3} - 21 \, \sqrt{3}\right)}\right)} \sqrt{-4 \, \sqrt{21} + 56} - 30 \, \sqrt{35} {\left(\sqrt{21} {\left(3 \, \sqrt{21} \sqrt{3} + 7 \, \sqrt{3}\right)} + 63 \, \sqrt{21} \sqrt{3} - 273 \, \sqrt{3}\right)}\right)} - \frac{1}{120} \, \sqrt{21} \sqrt{3} {\left(9 \, x + 4\right)} - \frac{1}{840} \, \sqrt{21} {\left(\sqrt{21} \sqrt{3} {\left(3 \, x + 8\right)} + 7 \, \sqrt{3} {\left(x - 4\right)}\right)} + \frac{1}{40} \, \sqrt{3} {\left(13 \, x + 8\right)} + \frac{1}{25200} \, {\left(21^{\frac{3}{4}} {\left(\sqrt{21} \sqrt{3} {\left(13 \, x + 8\right)} + 3 \, \sqrt{3} {\left(19 \, x + 4\right)}\right)} + 3 \cdot 21^{\frac{1}{4}} {\left(\sqrt{21} \sqrt{3} {\left(11 \, x + 76\right)} - 21 \, \sqrt{3} {\left(x + 16\right)}\right)}\right)} \sqrt{-4 \, \sqrt{21} + 56} + \frac{1}{25200} \, {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}} {\left(30 \, \sqrt{21} {\left(3 \, \sqrt{21} \sqrt{3} + 7 \, \sqrt{3}\right)} - {\left(21^{\frac{3}{4}} {\left(13 \, \sqrt{21} \sqrt{3} + 57 \, \sqrt{3}\right)} + 3 \cdot 21^{\frac{1}{4}} {\left(11 \, \sqrt{21} \sqrt{3} - 21 \, \sqrt{3}\right)}\right)} \sqrt{-4 \, \sqrt{21} + 56} + 1890 \, \sqrt{21} \sqrt{3} - 8190 \, \sqrt{3}\right)}\right) + \frac{1}{420} \cdot 21^{\frac{1}{4}} {\left(\sqrt{21} + 14\right)} \sqrt{-4 \, \sqrt{21} + 56} \log\left(16 \, x^{2} + \frac{8}{35} \cdot 21^{\frac{1}{4}} {\left(\sqrt{21} {\left(2 \, x + 3\right)} - 7 \, x + 7\right)} \sqrt{-4 \, \sqrt{21} + 56} - \frac{8}{35} \, {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}} {\left(21^{\frac{1}{4}} {\left(2 \, \sqrt{21} - 7\right)} \sqrt{-4 \, \sqrt{21} + 56} + 140 \, x + 70\right)} + 16 \, x + 16 \, \sqrt{21} + 16 \, {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{4}} + 16\right) - \frac{1}{420} \cdot 21^{\frac{1}{4}} {\left(\sqrt{21} + 14\right)} \sqrt{-4 \, \sqrt{21} + 56} \log\left(16 \, x^{2} - \frac{8}{35} \cdot 21^{\frac{1}{4}} {\left(\sqrt{21} {\left(2 \, x + 3\right)} - 7 \, x + 7\right)} \sqrt{-4 \, \sqrt{21} + 56} + \frac{8}{35} \, {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}} {\left(21^{\frac{1}{4}} {\left(2 \, \sqrt{21} - 7\right)} \sqrt{-4 \, \sqrt{21} + 56} - 140 \, x - 70\right)} + 16 \, x + 16 \, \sqrt{21} + 16 \, {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{4}} + 16\right) - \frac{2}{3} \, \sqrt{3} \arctan\left(-\frac{1}{3} \, \sqrt{3} {\left(x - 1\right)} + \frac{1}{3} \, \sqrt{3} {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}}\right)"," ",0,"-1/63*21^(3/4)*sqrt(3)*sqrt(-4*sqrt(21) + 56)*arctan(1/1764000*sqrt(2)*sqrt(70*x^2 - 21^(1/4)*(sqrt(21)*(2*x + 3) - 7*x + 7)*sqrt(-4*sqrt(21) + 56) + (x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8)*(21^(1/4)*(2*sqrt(21) - 7)*sqrt(-4*sqrt(21) + 56) - 140*x - 70) + 70*x + 70*sqrt(21) + 70*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/4) + 70)*(sqrt(35)*(21^(3/4)*(13*sqrt(21)*sqrt(3) + 57*sqrt(3)) + 3*21^(1/4)*(11*sqrt(21)*sqrt(3) - 21*sqrt(3)))*sqrt(-4*sqrt(21) + 56) + 30*sqrt(35)*(sqrt(21)*(3*sqrt(21)*sqrt(3) + 7*sqrt(3)) + 63*sqrt(21)*sqrt(3) - 273*sqrt(3))) + 1/120*sqrt(21)*sqrt(3)*(9*x + 4) + 1/840*sqrt(21)*(sqrt(21)*sqrt(3)*(3*x + 8) + 7*sqrt(3)*(x - 4)) - 1/40*sqrt(3)*(13*x + 8) + 1/25200*(21^(3/4)*(sqrt(21)*sqrt(3)*(13*x + 8) + 3*sqrt(3)*(19*x + 4)) + 3*21^(1/4)*(sqrt(21)*sqrt(3)*(11*x + 76) - 21*sqrt(3)*(x + 16)))*sqrt(-4*sqrt(21) + 56) - 1/25200*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8)*(30*sqrt(21)*(3*sqrt(21)*sqrt(3) + 7*sqrt(3)) + (21^(3/4)*(13*sqrt(21)*sqrt(3) + 57*sqrt(3)) + 3*21^(1/4)*(11*sqrt(21)*sqrt(3) - 21*sqrt(3)))*sqrt(-4*sqrt(21) + 56) + 1890*sqrt(21)*sqrt(3) - 8190*sqrt(3))) - 1/63*21^(3/4)*sqrt(3)*sqrt(-4*sqrt(21) + 56)*arctan(1/1764000*sqrt(2)*sqrt(70*x^2 + 21^(1/4)*(sqrt(21)*(2*x + 3) - 7*x + 7)*sqrt(-4*sqrt(21) + 56) - (x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8)*(21^(1/4)*(2*sqrt(21) - 7)*sqrt(-4*sqrt(21) + 56) + 140*x + 70) + 70*x + 70*sqrt(21) + 70*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/4) + 70)*(sqrt(35)*(21^(3/4)*(13*sqrt(21)*sqrt(3) + 57*sqrt(3)) + 3*21^(1/4)*(11*sqrt(21)*sqrt(3) - 21*sqrt(3)))*sqrt(-4*sqrt(21) + 56) - 30*sqrt(35)*(sqrt(21)*(3*sqrt(21)*sqrt(3) + 7*sqrt(3)) + 63*sqrt(21)*sqrt(3) - 273*sqrt(3))) - 1/120*sqrt(21)*sqrt(3)*(9*x + 4) - 1/840*sqrt(21)*(sqrt(21)*sqrt(3)*(3*x + 8) + 7*sqrt(3)*(x - 4)) + 1/40*sqrt(3)*(13*x + 8) + 1/25200*(21^(3/4)*(sqrt(21)*sqrt(3)*(13*x + 8) + 3*sqrt(3)*(19*x + 4)) + 3*21^(1/4)*(sqrt(21)*sqrt(3)*(11*x + 76) - 21*sqrt(3)*(x + 16)))*sqrt(-4*sqrt(21) + 56) + 1/25200*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8)*(30*sqrt(21)*(3*sqrt(21)*sqrt(3) + 7*sqrt(3)) - (21^(3/4)*(13*sqrt(21)*sqrt(3) + 57*sqrt(3)) + 3*21^(1/4)*(11*sqrt(21)*sqrt(3) - 21*sqrt(3)))*sqrt(-4*sqrt(21) + 56) + 1890*sqrt(21)*sqrt(3) - 8190*sqrt(3))) + 1/420*21^(1/4)*(sqrt(21) + 14)*sqrt(-4*sqrt(21) + 56)*log(16*x^2 + 8/35*21^(1/4)*(sqrt(21)*(2*x + 3) - 7*x + 7)*sqrt(-4*sqrt(21) + 56) - 8/35*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8)*(21^(1/4)*(2*sqrt(21) - 7)*sqrt(-4*sqrt(21) + 56) + 140*x + 70) + 16*x + 16*sqrt(21) + 16*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/4) + 16) - 1/420*21^(1/4)*(sqrt(21) + 14)*sqrt(-4*sqrt(21) + 56)*log(16*x^2 - 8/35*21^(1/4)*(sqrt(21)*(2*x + 3) - 7*x + 7)*sqrt(-4*sqrt(21) + 56) + 8/35*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8)*(21^(1/4)*(2*sqrt(21) - 7)*sqrt(-4*sqrt(21) + 56) - 140*x - 70) + 16*x + 16*sqrt(21) + 16*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/4) + 16) - 2/3*sqrt(3)*arctan(-1/3*sqrt(3)*(x - 1) + 1/3*sqrt(3)*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8))","B",0
2127,-1,0,0,0.000000," ","integrate((x^6+6*x^3-6*x^2-36)/x/(x^3-6)/((x^3+6)/(x^3-6))^(1/6)/(x^8-6*x^7+15*x^6-26*x^5+51*x^4-96*x^3+122*x^2-90*x+36),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2128,1,5259,0,1.616496," ","integrate((2*x^8-a*x^4+2*b)/(a*x^4+b)^(1/4)/(x^8+a*x^4-2*b),x, algorithm=""fricas"")","3 \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \arctan\left(-\frac{{\left({\left({\left(3 \, a^{7} + 47 \, a^{5} b + 176 \, a^{3} b^{2} - 64 \, a b^{3}\right)} x \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}} + {\left(3 \, a^{6} + 38 \, a^{4} b + 116 \, a^{2} b^{2} + 32 \, b^{3}\right)} x\right)} \sqrt{\frac{\sqrt{\frac{1}{2}} {\left({\left(27 \, a^{14} b^{4} + 783 \, a^{12} b^{5} + 8496 \, a^{10} b^{6} + 41456 \, a^{8} b^{7} + 82552 \, a^{6} b^{8} + 33600 \, a^{4} b^{9} - 9728 \, a^{2} b^{10} - 4096 \, b^{11}\right)} x^{2} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}} + {\left(27 \, a^{13} b^{4} + 594 \, a^{11} b^{5} + 4860 \, a^{9} b^{6} + 18104 \, a^{7} b^{7} + 28944 \, a^{5} b^{8} + 13152 \, a^{3} b^{9} + 1792 \, a b^{10}\right)} x^{2}\right)} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}} + 16 \, {\left(9 \, a^{8} b^{6} + 84 \, a^{6} b^{7} + 220 \, a^{4} b^{8} + 112 \, a^{2} b^{9} + 16 \, b^{10}\right)} \sqrt{a x^{4} + b}}{x^{2}}} - 4 \, {\left(9 \, a^{10} b^{3} + 156 \, a^{8} b^{4} + 892 \, a^{6} b^{5} + 1872 \, a^{4} b^{6} + 912 \, a^{2} b^{7} + 128 \, b^{8} + {\left(9 \, a^{11} b^{3} + 183 \, a^{9} b^{4} + 1198 \, a^{7} b^{5} + 2460 \, a^{5} b^{6} - 192 \, a^{3} b^{7} - 256 \, a b^{8}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}}}{16 \, {\left(9 \, a^{8} b^{4} + 84 \, a^{6} b^{5} + 220 \, a^{4} b^{6} + 112 \, a^{2} b^{7} + 16 \, b^{8}\right)} x}\right) - 3 \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \arctan\left(-\frac{{\left({\left(3 \, a^{7} + 47 \, a^{5} b + 176 \, a^{3} b^{2} - 64 \, a b^{3}\right)} x \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}} - {\left(3 \, a^{6} + 38 \, a^{4} b + 116 \, a^{2} b^{2} + 32 \, b^{3}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \sqrt{-\frac{\sqrt{\frac{1}{2}} {\left({\left(27 \, a^{14} b^{4} + 783 \, a^{12} b^{5} + 8496 \, a^{10} b^{6} + 41456 \, a^{8} b^{7} + 82552 \, a^{6} b^{8} + 33600 \, a^{4} b^{9} - 9728 \, a^{2} b^{10} - 4096 \, b^{11}\right)} x^{2} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}} - {\left(27 \, a^{13} b^{4} + 594 \, a^{11} b^{5} + 4860 \, a^{9} b^{6} + 18104 \, a^{7} b^{7} + 28944 \, a^{5} b^{8} + 13152 \, a^{3} b^{9} + 1792 \, a b^{10}\right)} x^{2}\right)} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}} - 16 \, {\left(9 \, a^{8} b^{6} + 84 \, a^{6} b^{7} + 220 \, a^{4} b^{8} + 112 \, a^{2} b^{9} + 16 \, b^{10}\right)} \sqrt{a x^{4} + b}}{x^{2}}} + 4 \, {\left(9 \, a^{10} b^{3} + 156 \, a^{8} b^{4} + 892 \, a^{6} b^{5} + 1872 \, a^{4} b^{6} + 912 \, a^{2} b^{7} + 128 \, b^{8} - {\left(9 \, a^{11} b^{3} + 183 \, a^{9} b^{4} + 1198 \, a^{7} b^{5} + 2460 \, a^{5} b^{6} - 192 \, a^{3} b^{7} - 256 \, a b^{8}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}}}{16 \, {\left(9 \, a^{8} b^{4} + 84 \, a^{6} b^{5} + 220 \, a^{4} b^{6} + 112 \, a^{2} b^{7} + 16 \, b^{8}\right)} x}\right) + \frac{3}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \log\left(\frac{2187 \, {\left(\sqrt{\frac{1}{2}} {\left({\left(9 \, a^{12} + 273 \, a^{10} b + 3100 \, a^{8} b^{2} + 15640 \, a^{6} b^{3} + 29760 \, a^{4} b^{4} + 512 \, a^{2} b^{5} - 4096 \, b^{6}\right)} x \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}} - {\left(9 \, a^{11} + 210 \, a^{9} b + 1756 \, a^{7} b^{2} + 6240 \, a^{5} b^{3} + 8448 \, a^{3} b^{4} + 2048 \, a b^{5}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}} + 32 \, {\left(3 \, a^{4} b^{3} + 14 \, a^{2} b^{4} + 4 \, b^{5}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}\right)}}{16 \, x}\right) - \frac{3}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \log\left(-\frac{2187 \, {\left(\sqrt{\frac{1}{2}} {\left({\left(9 \, a^{12} + 273 \, a^{10} b + 3100 \, a^{8} b^{2} + 15640 \, a^{6} b^{3} + 29760 \, a^{4} b^{4} + 512 \, a^{2} b^{5} - 4096 \, b^{6}\right)} x \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}} - {\left(9 \, a^{11} + 210 \, a^{9} b + 1756 \, a^{7} b^{2} + 6240 \, a^{5} b^{3} + 8448 \, a^{3} b^{4} + 2048 \, a b^{5}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}} - 32 \, {\left(3 \, a^{4} b^{3} + 14 \, a^{2} b^{4} + 4 \, b^{5}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}\right)}}{16 \, x}\right) - \frac{3}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \log\left(\frac{2187 \, {\left(\sqrt{\frac{1}{2}} {\left({\left(9 \, a^{12} + 273 \, a^{10} b + 3100 \, a^{8} b^{2} + 15640 \, a^{6} b^{3} + 29760 \, a^{4} b^{4} + 512 \, a^{2} b^{5} - 4096 \, b^{6}\right)} x \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}} + {\left(9 \, a^{11} + 210 \, a^{9} b + 1756 \, a^{7} b^{2} + 6240 \, a^{5} b^{3} + 8448 \, a^{3} b^{4} + 2048 \, a b^{5}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}} + 32 \, {\left(3 \, a^{4} b^{3} + 14 \, a^{2} b^{4} + 4 \, b^{5}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}\right)}}{16 \, x}\right) + \frac{3}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \log\left(-\frac{2187 \, {\left(\sqrt{\frac{1}{2}} {\left({\left(9 \, a^{12} + 273 \, a^{10} b + 3100 \, a^{8} b^{2} + 15640 \, a^{6} b^{3} + 29760 \, a^{4} b^{4} + 512 \, a^{2} b^{5} - 4096 \, b^{6}\right)} x \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}} + {\left(9 \, a^{11} + 210 \, a^{9} b + 1756 \, a^{7} b^{2} + 6240 \, a^{5} b^{3} + 8448 \, a^{3} b^{4} + 2048 \, a b^{5}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}} - 32 \, {\left(3 \, a^{4} b^{3} + 14 \, a^{2} b^{4} + 4 \, b^{5}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}\right)}}{16 \, x}\right) + \frac{2 \, \arctan\left(\frac{\frac{x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} + b}}{x^{2}}}}{a^{\frac{1}{4}}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}}{x}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}}"," ",0,"3*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*arctan(-1/16*(((3*a^7 + 47*a^5*b + 176*a^3*b^2 - 64*a*b^3)*x*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)) + (3*a^6 + 38*a^4*b + 116*a^2*b^2 + 32*b^3)*x)*sqrt((sqrt(1/2)*((27*a^14*b^4 + 783*a^12*b^5 + 8496*a^10*b^6 + 41456*a^8*b^7 + 82552*a^6*b^8 + 33600*a^4*b^9 - 9728*a^2*b^10 - 4096*b^11)*x^2*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)) + (27*a^13*b^4 + 594*a^11*b^5 + 4860*a^9*b^6 + 18104*a^7*b^7 + 28944*a^5*b^8 + 13152*a^3*b^9 + 1792*a*b^10)*x^2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)) + 16*(9*a^8*b^6 + 84*a^6*b^7 + 220*a^4*b^8 + 112*a^2*b^9 + 16*b^10)*sqrt(a*x^4 + b))/x^2) - 4*(9*a^10*b^3 + 156*a^8*b^4 + 892*a^6*b^5 + 1872*a^4*b^6 + 912*a^2*b^7 + 128*b^8 + (9*a^11*b^3 + 183*a^9*b^4 + 1198*a^7*b^5 + 2460*a^5*b^6 - 192*a^3*b^7 - 256*a*b^8)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))*(a*x^4 + b)^(1/4))*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))/((9*a^8*b^4 + 84*a^6*b^5 + 220*a^4*b^6 + 112*a^2*b^7 + 16*b^8)*x)) - 3*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*arctan(-1/16*(((3*a^7 + 47*a^5*b + 176*a^3*b^2 - 64*a*b^3)*x*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)) - (3*a^6 + 38*a^4*b + 116*a^2*b^2 + 32*b^3)*x)*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*sqrt(-(sqrt(1/2)*((27*a^14*b^4 + 783*a^12*b^5 + 8496*a^10*b^6 + 41456*a^8*b^7 + 82552*a^6*b^8 + 33600*a^4*b^9 - 9728*a^2*b^10 - 4096*b^11)*x^2*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)) - (27*a^13*b^4 + 594*a^11*b^5 + 4860*a^9*b^6 + 18104*a^7*b^7 + 28944*a^5*b^8 + 13152*a^3*b^9 + 1792*a*b^10)*x^2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)) - 16*(9*a^8*b^6 + 84*a^6*b^7 + 220*a^4*b^8 + 112*a^2*b^9 + 16*b^10)*sqrt(a*x^4 + b))/x^2) + 4*(9*a^10*b^3 + 156*a^8*b^4 + 892*a^6*b^5 + 1872*a^4*b^6 + 912*a^2*b^7 + 128*b^8 - (9*a^11*b^3 + 183*a^9*b^4 + 1198*a^7*b^5 + 2460*a^5*b^6 - 192*a^3*b^7 - 256*a*b^8)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))*(a*x^4 + b)^(1/4)*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3))))/((9*a^8*b^4 + 84*a^6*b^5 + 220*a^4*b^6 + 112*a^2*b^7 + 16*b^8)*x)) + 3/4*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*log(2187/16*(sqrt(1/2)*((9*a^12 + 273*a^10*b + 3100*a^8*b^2 + 15640*a^6*b^3 + 29760*a^4*b^4 + 512*a^2*b^5 - 4096*b^6)*x*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)) - (9*a^11 + 210*a^9*b + 1756*a^7*b^2 + 6240*a^5*b^3 + 8448*a^3*b^4 + 2048*a*b^5)*x)*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)) + 32*(3*a^4*b^3 + 14*a^2*b^4 + 4*b^5)*(a*x^4 + b)^(1/4))/x) - 3/4*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*log(-2187/16*(sqrt(1/2)*((9*a^12 + 273*a^10*b + 3100*a^8*b^2 + 15640*a^6*b^3 + 29760*a^4*b^4 + 512*a^2*b^5 - 4096*b^6)*x*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)) - (9*a^11 + 210*a^9*b + 1756*a^7*b^2 + 6240*a^5*b^3 + 8448*a^3*b^4 + 2048*a*b^5)*x)*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)) - 32*(3*a^4*b^3 + 14*a^2*b^4 + 4*b^5)*(a*x^4 + b)^(1/4))/x) - 3/4*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*log(2187/16*(sqrt(1/2)*((9*a^12 + 273*a^10*b + 3100*a^8*b^2 + 15640*a^6*b^3 + 29760*a^4*b^4 + 512*a^2*b^5 - 4096*b^6)*x*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)) + (9*a^11 + 210*a^9*b + 1756*a^7*b^2 + 6240*a^5*b^3 + 8448*a^3*b^4 + 2048*a*b^5)*x)*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)) + 32*(3*a^4*b^3 + 14*a^2*b^4 + 4*b^5)*(a*x^4 + b)^(1/4))/x) + 3/4*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*log(-2187/16*(sqrt(1/2)*((9*a^12 + 273*a^10*b + 3100*a^8*b^2 + 15640*a^6*b^3 + 29760*a^4*b^4 + 512*a^2*b^5 - 4096*b^6)*x*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)) + (9*a^11 + 210*a^9*b + 1756*a^7*b^2 + 6240*a^5*b^3 + 8448*a^3*b^4 + 2048*a*b^5)*x)*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)) - 32*(3*a^4*b^3 + 14*a^2*b^4 + 4*b^5)*(a*x^4 + b)^(1/4))/x) + 2*arctan((x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 + b))/x^2)/a^(1/4) - (a*x^4 + b)^(1/4)/a^(1/4))/x)/a^(1/4) + 1/2*log((a^(1/4)*x + (a*x^4 + b)^(1/4))/x)/a^(1/4) - 1/2*log(-(a^(1/4)*x - (a*x^4 + b)^(1/4))/x)/a^(1/4)","B",0
2129,1,5259,0,1.623976," ","integrate((2*x^8-a*x^4+2*b)/(a*x^4+b)^(1/4)/(x^8+a*x^4-2*b),x, algorithm=""fricas"")","3 \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \arctan\left(-\frac{{\left({\left({\left(3 \, a^{7} + 47 \, a^{5} b + 176 \, a^{3} b^{2} - 64 \, a b^{3}\right)} x \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}} + {\left(3 \, a^{6} + 38 \, a^{4} b + 116 \, a^{2} b^{2} + 32 \, b^{3}\right)} x\right)} \sqrt{\frac{\sqrt{\frac{1}{2}} {\left({\left(27 \, a^{14} b^{4} + 783 \, a^{12} b^{5} + 8496 \, a^{10} b^{6} + 41456 \, a^{8} b^{7} + 82552 \, a^{6} b^{8} + 33600 \, a^{4} b^{9} - 9728 \, a^{2} b^{10} - 4096 \, b^{11}\right)} x^{2} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}} + {\left(27 \, a^{13} b^{4} + 594 \, a^{11} b^{5} + 4860 \, a^{9} b^{6} + 18104 \, a^{7} b^{7} + 28944 \, a^{5} b^{8} + 13152 \, a^{3} b^{9} + 1792 \, a b^{10}\right)} x^{2}\right)} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}} + 16 \, {\left(9 \, a^{8} b^{6} + 84 \, a^{6} b^{7} + 220 \, a^{4} b^{8} + 112 \, a^{2} b^{9} + 16 \, b^{10}\right)} \sqrt{a x^{4} + b}}{x^{2}}} - 4 \, {\left(9 \, a^{10} b^{3} + 156 \, a^{8} b^{4} + 892 \, a^{6} b^{5} + 1872 \, a^{4} b^{6} + 912 \, a^{2} b^{7} + 128 \, b^{8} + {\left(9 \, a^{11} b^{3} + 183 \, a^{9} b^{4} + 1198 \, a^{7} b^{5} + 2460 \, a^{5} b^{6} - 192 \, a^{3} b^{7} - 256 \, a b^{8}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}}}{16 \, {\left(9 \, a^{8} b^{4} + 84 \, a^{6} b^{5} + 220 \, a^{4} b^{6} + 112 \, a^{2} b^{7} + 16 \, b^{8}\right)} x}\right) - 3 \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \arctan\left(-\frac{{\left({\left(3 \, a^{7} + 47 \, a^{5} b + 176 \, a^{3} b^{2} - 64 \, a b^{3}\right)} x \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}} - {\left(3 \, a^{6} + 38 \, a^{4} b + 116 \, a^{2} b^{2} + 32 \, b^{3}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \sqrt{-\frac{\sqrt{\frac{1}{2}} {\left({\left(27 \, a^{14} b^{4} + 783 \, a^{12} b^{5} + 8496 \, a^{10} b^{6} + 41456 \, a^{8} b^{7} + 82552 \, a^{6} b^{8} + 33600 \, a^{4} b^{9} - 9728 \, a^{2} b^{10} - 4096 \, b^{11}\right)} x^{2} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}} - {\left(27 \, a^{13} b^{4} + 594 \, a^{11} b^{5} + 4860 \, a^{9} b^{6} + 18104 \, a^{7} b^{7} + 28944 \, a^{5} b^{8} + 13152 \, a^{3} b^{9} + 1792 \, a b^{10}\right)} x^{2}\right)} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}} - 16 \, {\left(9 \, a^{8} b^{6} + 84 \, a^{6} b^{7} + 220 \, a^{4} b^{8} + 112 \, a^{2} b^{9} + 16 \, b^{10}\right)} \sqrt{a x^{4} + b}}{x^{2}}} + 4 \, {\left(9 \, a^{10} b^{3} + 156 \, a^{8} b^{4} + 892 \, a^{6} b^{5} + 1872 \, a^{4} b^{6} + 912 \, a^{2} b^{7} + 128 \, b^{8} - {\left(9 \, a^{11} b^{3} + 183 \, a^{9} b^{4} + 1198 \, a^{7} b^{5} + 2460 \, a^{5} b^{6} - 192 \, a^{3} b^{7} - 256 \, a b^{8}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}}}{16 \, {\left(9 \, a^{8} b^{4} + 84 \, a^{6} b^{5} + 220 \, a^{4} b^{6} + 112 \, a^{2} b^{7} + 16 \, b^{8}\right)} x}\right) + \frac{3}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \log\left(\frac{2187 \, {\left(\sqrt{\frac{1}{2}} {\left({\left(9 \, a^{12} + 273 \, a^{10} b + 3100 \, a^{8} b^{2} + 15640 \, a^{6} b^{3} + 29760 \, a^{4} b^{4} + 512 \, a^{2} b^{5} - 4096 \, b^{6}\right)} x \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}} - {\left(9 \, a^{11} + 210 \, a^{9} b + 1756 \, a^{7} b^{2} + 6240 \, a^{5} b^{3} + 8448 \, a^{3} b^{4} + 2048 \, a b^{5}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}} + 32 \, {\left(3 \, a^{4} b^{3} + 14 \, a^{2} b^{4} + 4 \, b^{5}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}\right)}}{16 \, x}\right) - \frac{3}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \log\left(-\frac{2187 \, {\left(\sqrt{\frac{1}{2}} {\left({\left(9 \, a^{12} + 273 \, a^{10} b + 3100 \, a^{8} b^{2} + 15640 \, a^{6} b^{3} + 29760 \, a^{4} b^{4} + 512 \, a^{2} b^{5} - 4096 \, b^{6}\right)} x \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}} - {\left(9 \, a^{11} + 210 \, a^{9} b + 1756 \, a^{7} b^{2} + 6240 \, a^{5} b^{3} + 8448 \, a^{3} b^{4} + 2048 \, a b^{5}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}} - 32 \, {\left(3 \, a^{4} b^{3} + 14 \, a^{2} b^{4} + 4 \, b^{5}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}\right)}}{16 \, x}\right) - \frac{3}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \log\left(\frac{2187 \, {\left(\sqrt{\frac{1}{2}} {\left({\left(9 \, a^{12} + 273 \, a^{10} b + 3100 \, a^{8} b^{2} + 15640 \, a^{6} b^{3} + 29760 \, a^{4} b^{4} + 512 \, a^{2} b^{5} - 4096 \, b^{6}\right)} x \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}} + {\left(9 \, a^{11} + 210 \, a^{9} b + 1756 \, a^{7} b^{2} + 6240 \, a^{5} b^{3} + 8448 \, a^{3} b^{4} + 2048 \, a b^{5}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}} + 32 \, {\left(3 \, a^{4} b^{3} + 14 \, a^{2} b^{4} + 4 \, b^{5}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}\right)}}{16 \, x}\right) + \frac{3}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \log\left(-\frac{2187 \, {\left(\sqrt{\frac{1}{2}} {\left({\left(9 \, a^{12} + 273 \, a^{10} b + 3100 \, a^{8} b^{2} + 15640 \, a^{6} b^{3} + 29760 \, a^{4} b^{4} + 512 \, a^{2} b^{5} - 4096 \, b^{6}\right)} x \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}} + {\left(9 \, a^{11} + 210 \, a^{9} b + 1756 \, a^{7} b^{2} + 6240 \, a^{5} b^{3} + 8448 \, a^{3} b^{4} + 2048 \, a b^{5}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}} - 32 \, {\left(3 \, a^{4} b^{3} + 14 \, a^{2} b^{4} + 4 \, b^{5}\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}\right)}}{16 \, x}\right) + \frac{2 \, \arctan\left(\frac{\frac{x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} + b}}{x^{2}}}}{a^{\frac{1}{4}}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}}{x}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}}"," ",0,"3*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*arctan(-1/16*(((3*a^7 + 47*a^5*b + 176*a^3*b^2 - 64*a*b^3)*x*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)) + (3*a^6 + 38*a^4*b + 116*a^2*b^2 + 32*b^3)*x)*sqrt((sqrt(1/2)*((27*a^14*b^4 + 783*a^12*b^5 + 8496*a^10*b^6 + 41456*a^8*b^7 + 82552*a^6*b^8 + 33600*a^4*b^9 - 9728*a^2*b^10 - 4096*b^11)*x^2*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)) + (27*a^13*b^4 + 594*a^11*b^5 + 4860*a^9*b^6 + 18104*a^7*b^7 + 28944*a^5*b^8 + 13152*a^3*b^9 + 1792*a*b^10)*x^2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)) + 16*(9*a^8*b^6 + 84*a^6*b^7 + 220*a^4*b^8 + 112*a^2*b^9 + 16*b^10)*sqrt(a*x^4 + b))/x^2) - 4*(9*a^10*b^3 + 156*a^8*b^4 + 892*a^6*b^5 + 1872*a^4*b^6 + 912*a^2*b^7 + 128*b^8 + (9*a^11*b^3 + 183*a^9*b^4 + 1198*a^7*b^5 + 2460*a^5*b^6 - 192*a^3*b^7 - 256*a*b^8)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))*(a*x^4 + b)^(1/4))*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))/((9*a^8*b^4 + 84*a^6*b^5 + 220*a^4*b^6 + 112*a^2*b^7 + 16*b^8)*x)) - 3*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*arctan(-1/16*(((3*a^7 + 47*a^5*b + 176*a^3*b^2 - 64*a*b^3)*x*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)) - (3*a^6 + 38*a^4*b + 116*a^2*b^2 + 32*b^3)*x)*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*sqrt(-(sqrt(1/2)*((27*a^14*b^4 + 783*a^12*b^5 + 8496*a^10*b^6 + 41456*a^8*b^7 + 82552*a^6*b^8 + 33600*a^4*b^9 - 9728*a^2*b^10 - 4096*b^11)*x^2*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)) - (27*a^13*b^4 + 594*a^11*b^5 + 4860*a^9*b^6 + 18104*a^7*b^7 + 28944*a^5*b^8 + 13152*a^3*b^9 + 1792*a*b^10)*x^2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)) - 16*(9*a^8*b^6 + 84*a^6*b^7 + 220*a^4*b^8 + 112*a^2*b^9 + 16*b^10)*sqrt(a*x^4 + b))/x^2) + 4*(9*a^10*b^3 + 156*a^8*b^4 + 892*a^6*b^5 + 1872*a^4*b^6 + 912*a^2*b^7 + 128*b^8 - (9*a^11*b^3 + 183*a^9*b^4 + 1198*a^7*b^5 + 2460*a^5*b^6 - 192*a^3*b^7 - 256*a*b^8)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))*(a*x^4 + b)^(1/4)*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3))))/((9*a^8*b^4 + 84*a^6*b^5 + 220*a^4*b^6 + 112*a^2*b^7 + 16*b^8)*x)) + 3/4*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*log(2187/16*(sqrt(1/2)*((9*a^12 + 273*a^10*b + 3100*a^8*b^2 + 15640*a^6*b^3 + 29760*a^4*b^4 + 512*a^2*b^5 - 4096*b^6)*x*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)) - (9*a^11 + 210*a^9*b + 1756*a^7*b^2 + 6240*a^5*b^3 + 8448*a^3*b^4 + 2048*a*b^5)*x)*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)) + 32*(3*a^4*b^3 + 14*a^2*b^4 + 4*b^5)*(a*x^4 + b)^(1/4))/x) - 3/4*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*log(-2187/16*(sqrt(1/2)*((9*a^12 + 273*a^10*b + 3100*a^8*b^2 + 15640*a^6*b^3 + 29760*a^4*b^4 + 512*a^2*b^5 - 4096*b^6)*x*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)) - (9*a^11 + 210*a^9*b + 1756*a^7*b^2 + 6240*a^5*b^3 + 8448*a^3*b^4 + 2048*a*b^5)*x)*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)) - 32*(3*a^4*b^3 + 14*a^2*b^4 + 4*b^5)*(a*x^4 + b)^(1/4))/x) - 3/4*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*log(2187/16*(sqrt(1/2)*((9*a^12 + 273*a^10*b + 3100*a^8*b^2 + 15640*a^6*b^3 + 29760*a^4*b^4 + 512*a^2*b^5 - 4096*b^6)*x*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)) + (9*a^11 + 210*a^9*b + 1756*a^7*b^2 + 6240*a^5*b^3 + 8448*a^3*b^4 + 2048*a*b^5)*x)*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)) + 32*(3*a^4*b^3 + 14*a^2*b^4 + 4*b^5)*(a*x^4 + b)^(1/4))/x) + 3/4*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*log(-2187/16*(sqrt(1/2)*((9*a^12 + 273*a^10*b + 3100*a^8*b^2 + 15640*a^6*b^3 + 29760*a^4*b^4 + 512*a^2*b^5 - 4096*b^6)*x*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)) + (9*a^11 + 210*a^9*b + 1756*a^7*b^2 + 6240*a^5*b^3 + 8448*a^3*b^4 + 2048*a*b^5)*x)*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)) - 32*(3*a^4*b^3 + 14*a^2*b^4 + 4*b^5)*(a*x^4 + b)^(1/4))/x) + 2*arctan((x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 + b))/x^2)/a^(1/4) - (a*x^4 + b)^(1/4)/a^(1/4))/x)/a^(1/4) + 1/2*log((a^(1/4)*x + (a*x^4 + b)^(1/4))/x)/a^(1/4) - 1/2*log(-(a^(1/4)*x - (a*x^4 + b)^(1/4))/x)/a^(1/4)","B",0
2130,-1,0,0,0.000000," ","integrate((a*x^8-b)/(a*x^8+b)/(a*x^8-c*x^4+b)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2131,1,115,0,0.507317," ","integrate(1/x^2/(a^2*x^2-b*x)^(1/2)/(a*x^2+x*(a^2*x^2-b*x)^(1/2))^(3/2),x, algorithm=""fricas"")","\frac{4 \, {\left(8192 \, a^{7} x^{4} + 1024 \, a^{5} b x^{3} + 448 \, a^{3} b^{2} x^{2} + 6699 \, a b^{3} x + {\left(8192 \, a^{6} x^{3} + 5120 \, a^{4} b x^{2} + 4032 \, a^{2} b^{2} x - 3003 \, b^{3}\right)} \sqrt{a^{2} x^{2} - b x}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x}}{45045 \, b^{5} x^{5}}"," ",0,"4/45045*(8192*a^7*x^4 + 1024*a^5*b*x^3 + 448*a^3*b^2*x^2 + 6699*a*b^3*x + (8192*a^6*x^3 + 5120*a^4*b*x^2 + 4032*a^2*b^2*x - 3003*b^3)*sqrt(a^2*x^2 - b*x))*sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x)/(b^5*x^5)","A",0
2132,1,84,0,0.559161," ","integrate((1+(x^2+1)^(1/2))/(1+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=""fricas"")","-\frac{1}{4} \, x^{2} + \frac{1}{3} \, {\left(x^{2} - \sqrt{x^{2} + 1} {\left(x - 5\right)} - 4 \, x + 5\right)} \sqrt{x + \sqrt{x^{2} + 1}} + \frac{1}{4} \, \sqrt{x^{2} + 1} {\left(x - 4\right)} + \frac{1}{2} \, x - 4 \, \log\left(\sqrt{x + \sqrt{x^{2} + 1}} + 1\right) + \frac{5}{2} \, \log\left(\sqrt{x + \sqrt{x^{2} + 1}}\right)"," ",0,"-1/4*x^2 + 1/3*(x^2 - sqrt(x^2 + 1)*(x - 5) - 4*x + 5)*sqrt(x + sqrt(x^2 + 1)) + 1/4*sqrt(x^2 + 1)*(x - 4) + 1/2*x - 4*log(sqrt(x + sqrt(x^2 + 1)) + 1) + 5/2*log(sqrt(x + sqrt(x^2 + 1)))","A",0
2133,-1,0,0,0.000000," ","integrate((-2+(1+k)*x)/((1-x)*x*(-k*x+1))^(1/3)/(b-b*(1+k)*x+(b*k-1)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2134,-1,0,0,0.000000," ","integrate((a*x^4-b)^(1/4)*(a*x^8-8*b)/x^10/(a*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2135,-1,0,0,0.000000," ","integrate(x/(x+(x+(1+x)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2136,-1,0,0,0.000000," ","integrate(x/(x+(x+(1+x)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2137,1,212,0,2.682236," ","integrate((x^2-6)*(x^2-2)*(x^3-x^2+2)*(2*x^3+x^2-2)^(1/3)/x^5/(x^3+x^2-2)^2,x, algorithm=""fricas"")","\frac{28 \, \sqrt{3} {\left(x^{7} + x^{6} - 2 \, x^{4}\right)} \arctan\left(\frac{1078 \, \sqrt{3} {\left(2 \, x^{3} + x^{2} - 2\right)}^{\frac{1}{3}} x^{2} + 196 \, \sqrt{3} {\left(2 \, x^{3} + x^{2} - 2\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(669 \, x^{3} + 32 \, x^{2} - 64\right)}}{1315 \, x^{3} - 8 \, x^{2} + 16}\right) - 14 \, {\left(x^{7} + x^{6} - 2 \, x^{4}\right)} \log\left(\frac{x^{3} + 3 \, {\left(2 \, x^{3} + x^{2} - 2\right)}^{\frac{1}{3}} x^{2} + x^{2} - 3 \, {\left(2 \, x^{3} + x^{2} - 2\right)}^{\frac{2}{3}} x - 2}{x^{3} + x^{2} - 2}\right) - 3 \, {\left(38 \, x^{6} + 27 \, x^{5} - 3 \, x^{4} - 54 \, x^{3} + 12 \, x^{2} - 12\right)} {\left(2 \, x^{3} + x^{2} - 2\right)}^{\frac{1}{3}}}{12 \, {\left(x^{7} + x^{6} - 2 \, x^{4}\right)}}"," ",0,"1/12*(28*sqrt(3)*(x^7 + x^6 - 2*x^4)*arctan((1078*sqrt(3)*(2*x^3 + x^2 - 2)^(1/3)*x^2 + 196*sqrt(3)*(2*x^3 + x^2 - 2)^(2/3)*x + sqrt(3)*(669*x^3 + 32*x^2 - 64))/(1315*x^3 - 8*x^2 + 16)) - 14*(x^7 + x^6 - 2*x^4)*log((x^3 + 3*(2*x^3 + x^2 - 2)^(1/3)*x^2 + x^2 - 3*(2*x^3 + x^2 - 2)^(2/3)*x - 2)/(x^3 + x^2 - 2)) - 3*(38*x^6 + 27*x^5 - 3*x^4 - 54*x^3 + 12*x^2 - 12)*(2*x^3 + x^2 - 2)^(1/3))/(x^7 + x^6 - 2*x^4)","A",0
2138,1,881,0,0.557261," ","integrate((-1+x)*(x^4-x^3)^(1/4)/x/(x^3+1),x, algorithm=""fricas"")","-\frac{1}{12} \, {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} \log\left(\frac{2 \, {\left(2 \, x^{2} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) + \frac{1}{12} \, {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} \log\left(\frac{2 \, {\left(2 \, x^{2} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) - \frac{1}{6} \, \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} \log\left(\frac{4 \, {\left(x^{2} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) + \frac{1}{6} \, \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} \log\left(\frac{4 \, {\left(x^{2} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) + \frac{1}{3} \, \sqrt{-4 \, \sqrt{3} + 8} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{\frac{2 \, x^{2} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} - 2 \, \sqrt{3} x - 4 \, x}{2 \, x}\right) + \frac{1}{3} \, \sqrt{-4 \, \sqrt{3} + 8} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{\frac{2 \, x^{2} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{3} x + 4 \, x}{2 \, x}\right) - \frac{2}{3} \, \sqrt{\sqrt{3} + 2} \arctan\left(\frac{2 \, {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} \sqrt{\frac{x^{2} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} + \sqrt{3} x - 2 \, x}{x}\right) - \frac{2}{3} \, \sqrt{\sqrt{3} + 2} \arctan\left(\frac{2 \, {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} \sqrt{\frac{x^{2} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} - \sqrt{3} x + 2 \, x}{x}\right) - \frac{8}{3} \cdot 2^{\frac{1}{4}} \arctan\left(\frac{2^{\frac{3}{4}} x \sqrt{\frac{\sqrt{2} x^{2} + \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2^{\frac{3}{4}} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{2 \, x}\right) + \frac{2}{3} \cdot 2^{\frac{1}{4}} \log\left(\frac{2^{\frac{1}{4}} x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{2}{3} \cdot 2^{\frac{1}{4}} \log\left(-\frac{2^{\frac{1}{4}} x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-1/12*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8)*log(2*(2*x^2 + (x^4 - x^3)^(1/4)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 - x^3))/x^2) + 1/12*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8)*log(2*(2*x^2 - (x^4 - x^3)^(1/4)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 - x^3))/x^2) - 1/6*sqrt(sqrt(3) + 2)*(sqrt(3) - 2)*log(4*(x^2 + (x^4 - x^3)^(1/4)*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2) + sqrt(x^4 - x^3))/x^2) + 1/6*sqrt(sqrt(3) + 2)*(sqrt(3) - 2)*log(4*(x^2 - (x^4 - x^3)^(1/4)*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2) + sqrt(x^4 - x^3))/x^2) + 1/3*sqrt(-4*sqrt(3) + 8)*arctan(1/2*(sqrt(2)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8)*sqrt((2*x^2 + (x^4 - x^3)^(1/4)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 - x^3))/x^2) - 2*(x^4 - x^3)^(1/4)*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8) - 2*sqrt(3)*x - 4*x)/x) + 1/3*sqrt(-4*sqrt(3) + 8)*arctan(1/2*(sqrt(2)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8)*sqrt((2*x^2 - (x^4 - x^3)^(1/4)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 - x^3))/x^2) - 2*(x^4 - x^3)^(1/4)*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(3)*x + 4*x)/x) - 2/3*sqrt(sqrt(3) + 2)*arctan((2*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2)*sqrt((x^2 + (x^4 - x^3)^(1/4)*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2) + sqrt(x^4 - x^3))/x^2) - 2*(x^4 - x^3)^(1/4)*sqrt(sqrt(3) + 2)*(sqrt(3) - 2) + sqrt(3)*x - 2*x)/x) - 2/3*sqrt(sqrt(3) + 2)*arctan((2*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2)*sqrt((x^2 - (x^4 - x^3)^(1/4)*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2) + sqrt(x^4 - x^3))/x^2) - 2*(x^4 - x^3)^(1/4)*sqrt(sqrt(3) + 2)*(sqrt(3) - 2) - sqrt(3)*x + 2*x)/x) - 8/3*2^(1/4)*arctan(1/2*(2^(3/4)*x*sqrt((sqrt(2)*x^2 + sqrt(x^4 - x^3))/x^2) - 2^(3/4)*(x^4 - x^3)^(1/4))/x) + 2/3*2^(1/4)*log((2^(1/4)*x + (x^4 - x^3)^(1/4))/x) - 2/3*2^(1/4)*log(-(2^(1/4)*x - (x^4 - x^3)^(1/4))/x)","B",0
2139,1,881,0,0.552089," ","integrate((-1+x)*(x^4-x^3)^(1/4)/x/(x^3+1),x, algorithm=""fricas"")","-\frac{1}{12} \, {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} \log\left(\frac{2 \, {\left(2 \, x^{2} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) + \frac{1}{12} \, {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} \log\left(\frac{2 \, {\left(2 \, x^{2} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) - \frac{1}{6} \, \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} \log\left(\frac{4 \, {\left(x^{2} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) + \frac{1}{6} \, \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} \log\left(\frac{4 \, {\left(x^{2} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) + \frac{1}{3} \, \sqrt{-4 \, \sqrt{3} + 8} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{\frac{2 \, x^{2} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} - 2 \, \sqrt{3} x - 4 \, x}{2 \, x}\right) + \frac{1}{3} \, \sqrt{-4 \, \sqrt{3} + 8} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{\frac{2 \, x^{2} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{3} x + 4 \, x}{2 \, x}\right) - \frac{2}{3} \, \sqrt{\sqrt{3} + 2} \arctan\left(\frac{2 \, {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} \sqrt{\frac{x^{2} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} + \sqrt{3} x - 2 \, x}{x}\right) - \frac{2}{3} \, \sqrt{\sqrt{3} + 2} \arctan\left(\frac{2 \, {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} \sqrt{\frac{x^{2} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} - \sqrt{3} x + 2 \, x}{x}\right) - \frac{8}{3} \cdot 2^{\frac{1}{4}} \arctan\left(\frac{2^{\frac{3}{4}} x \sqrt{\frac{\sqrt{2} x^{2} + \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2^{\frac{3}{4}} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{2 \, x}\right) + \frac{2}{3} \cdot 2^{\frac{1}{4}} \log\left(\frac{2^{\frac{1}{4}} x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{2}{3} \cdot 2^{\frac{1}{4}} \log\left(-\frac{2^{\frac{1}{4}} x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-1/12*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8)*log(2*(2*x^2 + (x^4 - x^3)^(1/4)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 - x^3))/x^2) + 1/12*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8)*log(2*(2*x^2 - (x^4 - x^3)^(1/4)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 - x^3))/x^2) - 1/6*sqrt(sqrt(3) + 2)*(sqrt(3) - 2)*log(4*(x^2 + (x^4 - x^3)^(1/4)*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2) + sqrt(x^4 - x^3))/x^2) + 1/6*sqrt(sqrt(3) + 2)*(sqrt(3) - 2)*log(4*(x^2 - (x^4 - x^3)^(1/4)*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2) + sqrt(x^4 - x^3))/x^2) + 1/3*sqrt(-4*sqrt(3) + 8)*arctan(1/2*(sqrt(2)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8)*sqrt((2*x^2 + (x^4 - x^3)^(1/4)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 - x^3))/x^2) - 2*(x^4 - x^3)^(1/4)*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8) - 2*sqrt(3)*x - 4*x)/x) + 1/3*sqrt(-4*sqrt(3) + 8)*arctan(1/2*(sqrt(2)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8)*sqrt((2*x^2 - (x^4 - x^3)^(1/4)*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 - x^3))/x^2) - 2*(x^4 - x^3)^(1/4)*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8) + 2*sqrt(3)*x + 4*x)/x) - 2/3*sqrt(sqrt(3) + 2)*arctan((2*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2)*sqrt((x^2 + (x^4 - x^3)^(1/4)*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2) + sqrt(x^4 - x^3))/x^2) - 2*(x^4 - x^3)^(1/4)*sqrt(sqrt(3) + 2)*(sqrt(3) - 2) + sqrt(3)*x - 2*x)/x) - 2/3*sqrt(sqrt(3) + 2)*arctan((2*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2)*sqrt((x^2 - (x^4 - x^3)^(1/4)*(sqrt(3)*x - 2*x)*sqrt(sqrt(3) + 2) + sqrt(x^4 - x^3))/x^2) - 2*(x^4 - x^3)^(1/4)*sqrt(sqrt(3) + 2)*(sqrt(3) - 2) - sqrt(3)*x + 2*x)/x) - 8/3*2^(1/4)*arctan(1/2*(2^(3/4)*x*sqrt((sqrt(2)*x^2 + sqrt(x^4 - x^3))/x^2) - 2^(3/4)*(x^4 - x^3)^(1/4))/x) + 2/3*2^(1/4)*log((2^(1/4)*x + (x^4 - x^3)^(1/4))/x) - 2/3*2^(1/4)*log(-(2^(1/4)*x - (x^4 - x^3)^(1/4))/x)","B",0
2140,1,953,0,5.063478," ","integrate((1+x)*(x^5+x^3)^(1/4)/x/(x^3-1),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{2} \arctan\left(\frac{x^{6} + 2 \, x^{5} + 3 \, x^{4} + 2 \, x^{3} + 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(x^{2} - 3 \, x + 1\right)} + x^{2} + 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(3 \, x^{4} - x^{3} + 3 \, x^{2}\right)} + 4 \, \sqrt{x^{5} + x^{3}} {\left(x^{3} + x^{2} + x\right)} + {\left(2 \, \sqrt{2} \sqrt{x^{5} + x^{3}} {\left(x^{3} - 3 \, x^{2} + x\right)} + 16 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} x + \sqrt{2} {\left(x^{6} - 8 \, x^{5} + x^{4} - 8 \, x^{3} + x^{2}\right)} + 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + x^{3} + x^{2}\right)}\right)} \sqrt{\frac{x^{4} + x^{3} + 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + x^{2} + 4 \, \sqrt{x^{5} + x^{3}} x + 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} + x^{3} + x^{2}}}}{x^{6} - 14 \, x^{5} + 3 \, x^{4} - 14 \, x^{3} + x^{2}}\right) + \frac{1}{3} \, \sqrt{2} \arctan\left(\frac{x^{6} + 2 \, x^{5} + 3 \, x^{4} + 2 \, x^{3} - 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(x^{2} - 3 \, x + 1\right)} + x^{2} - 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(3 \, x^{4} - x^{3} + 3 \, x^{2}\right)} + 4 \, \sqrt{x^{5} + x^{3}} {\left(x^{3} + x^{2} + x\right)} - {\left(2 \, \sqrt{2} \sqrt{x^{5} + x^{3}} {\left(x^{3} - 3 \, x^{2} + x\right)} - 16 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} x + \sqrt{2} {\left(x^{6} - 8 \, x^{5} + x^{4} - 8 \, x^{3} + x^{2}\right)} - 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + x^{3} + x^{2}\right)}\right)} \sqrt{\frac{x^{4} + x^{3} - 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + x^{2} + 4 \, \sqrt{x^{5} + x^{3}} x - 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} + x^{3} + x^{2}}}}{x^{6} - 14 \, x^{5} + 3 \, x^{4} - 14 \, x^{3} + x^{2}}\right) + \frac{1}{12} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{4} + x^{3} + 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + x^{2} + 4 \, \sqrt{x^{5} + x^{3}} x + 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}\right)}}{x^{4} + x^{3} + x^{2}}\right) - \frac{1}{12} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{4} + x^{3} - 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + x^{2} + 4 \, \sqrt{x^{5} + x^{3}} x - 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}\right)}}{x^{4} + x^{3} + x^{2}}\right) + \frac{2}{3} \cdot 2^{\frac{1}{4}} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{5} + x^{3}} x + 2^{\frac{1}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{4} - 2 \, x^{3} + x^{2}\right)}}\right) - \frac{1}{6} \cdot 2^{\frac{1}{4}} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{5} + x^{3}} x + 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} - 2 \, x^{3} + x^{2}}\right) + \frac{1}{6} \cdot 2^{\frac{1}{4}} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{5} + x^{3}} x + 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} - 2 \, x^{3} + x^{2}}\right)"," ",0,"-1/3*sqrt(2)*arctan((x^6 + 2*x^5 + 3*x^4 + 2*x^3 + 2*sqrt(2)*(x^5 + x^3)^(3/4)*(x^2 - 3*x + 1) + x^2 + 2*sqrt(2)*(x^5 + x^3)^(1/4)*(3*x^4 - x^3 + 3*x^2) + 4*sqrt(x^5 + x^3)*(x^3 + x^2 + x) + (2*sqrt(2)*sqrt(x^5 + x^3)*(x^3 - 3*x^2 + x) + 16*(x^5 + x^3)^(3/4)*x + sqrt(2)*(x^6 - 8*x^5 + x^4 - 8*x^3 + x^2) + 4*(x^5 + x^3)^(1/4)*(x^4 + x^3 + x^2))*sqrt((x^4 + x^3 + 2*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 + x^2 + 4*sqrt(x^5 + x^3)*x + 2*sqrt(2)*(x^5 + x^3)^(3/4))/(x^4 + x^3 + x^2)))/(x^6 - 14*x^5 + 3*x^4 - 14*x^3 + x^2)) + 1/3*sqrt(2)*arctan((x^6 + 2*x^5 + 3*x^4 + 2*x^3 - 2*sqrt(2)*(x^5 + x^3)^(3/4)*(x^2 - 3*x + 1) + x^2 - 2*sqrt(2)*(x^5 + x^3)^(1/4)*(3*x^4 - x^3 + 3*x^2) + 4*sqrt(x^5 + x^3)*(x^3 + x^2 + x) - (2*sqrt(2)*sqrt(x^5 + x^3)*(x^3 - 3*x^2 + x) - 16*(x^5 + x^3)^(3/4)*x + sqrt(2)*(x^6 - 8*x^5 + x^4 - 8*x^3 + x^2) - 4*(x^5 + x^3)^(1/4)*(x^4 + x^3 + x^2))*sqrt((x^4 + x^3 - 2*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 + x^2 + 4*sqrt(x^5 + x^3)*x - 2*sqrt(2)*(x^5 + x^3)^(3/4))/(x^4 + x^3 + x^2)))/(x^6 - 14*x^5 + 3*x^4 - 14*x^3 + x^2)) + 1/12*sqrt(2)*log(4*(x^4 + x^3 + 2*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 + x^2 + 4*sqrt(x^5 + x^3)*x + 2*sqrt(2)*(x^5 + x^3)^(3/4))/(x^4 + x^3 + x^2)) - 1/12*sqrt(2)*log(4*(x^4 + x^3 - 2*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 + x^2 + 4*sqrt(x^5 + x^3)*x - 2*sqrt(2)*(x^5 + x^3)^(3/4))/(x^4 + x^3 + x^2)) + 2/3*2^(1/4)*arctan(1/2*(4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 + 2^(3/4)*(2*2^(3/4)*sqrt(x^5 + x^3)*x + 2^(1/4)*(x^4 + 2*x^3 + x^2)) + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 - 2*x^3 + x^2)) - 1/6*2^(1/4)*log(-(4*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 + 2^(3/4)*(x^4 + 2*x^3 + x^2) + 4*2^(1/4)*sqrt(x^5 + x^3)*x + 4*(x^5 + x^3)^(3/4))/(x^4 - 2*x^3 + x^2)) + 1/6*2^(1/4)*log(-(4*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 - 2^(3/4)*(x^4 + 2*x^3 + x^2) - 4*2^(1/4)*sqrt(x^5 + x^3)*x + 4*(x^5 + x^3)^(3/4))/(x^4 - 2*x^3 + x^2))","B",0
2141,-1,0,0,0.000000," ","integrate(x^3/(a*x^3-b*x^2)^(1/3)/(a^2*x^6-b^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2142,1,2034,0,1.295306," ","integrate((x^2+1)/(x^2-1)/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{105 \, {\left(x + 1\right)} \sqrt{2 \, \sqrt{2} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} - \frac{3}{4} \, {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 8}} \log\left(\frac{1}{8} \, {\left({\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} + {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} - \frac{3}{4} \, {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 8} {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}\right)} \sqrt{2 \, \sqrt{2} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} - \frac{3}{4} \, {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 8}} + 2 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) - 105 \, {\left(x + 1\right)} \sqrt{2 \, \sqrt{2} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} - \frac{3}{4} \, {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 8}} \log\left(-\frac{1}{8} \, {\left({\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} + {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} - \frac{3}{4} \, {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 8} {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}\right)} \sqrt{2 \, \sqrt{2} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} - \frac{3}{4} \, {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 8}} + 2 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) + 105 \, {\left(x + 1\right)} \sqrt{2 \, \sqrt{2} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} - \frac{3}{4} \, {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 8}} \log\left(\frac{1}{8} \, {\left({\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} + {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} - \frac{3}{4} \, {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 8} {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}\right)} \sqrt{2 \, \sqrt{2} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} - \frac{3}{4} \, {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 8}} + 2 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) - 105 \, {\left(x + 1\right)} \sqrt{2 \, \sqrt{2} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} - \frac{3}{4} \, {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 8}} \log\left(-\frac{1}{8} \, {\left({\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} + {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} - \frac{3}{4} \, {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 8} {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}\right)} \sqrt{2 \, \sqrt{2} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} - \frac{3}{4} \, {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 8}} + 2 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) - 210 \, {\left(x + 1\right)} \sqrt{-\frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{2 \, \sqrt{2} + 2}} \log\left(\frac{1}{4} \, {\left({\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{3} + {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} + {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - 8 \, \sqrt{2} - 8 \, \sqrt{2 \, \sqrt{2} + 2}\right)} \sqrt{-\frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{2 \, \sqrt{2} + 2}} + \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) + 210 \, {\left(x + 1\right)} \sqrt{-\frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{2 \, \sqrt{2} + 2}} \log\left(-\frac{1}{4} \, {\left({\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{3} + {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} + {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - 8 \, \sqrt{2} - 8 \, \sqrt{2 \, \sqrt{2} + 2}\right)} \sqrt{-\frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{2 \, \sqrt{2} + 2}} + \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) + 210 \, {\left(x + 1\right)} \sqrt{-\frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{2 \, \sqrt{2} + 2}} \log\left(\frac{1}{4} \, {\left({\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{3} - 8 \, \sqrt{2} - 8 \, \sqrt{2 \, \sqrt{2} + 2} - 16\right)} \sqrt{-\frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{2 \, \sqrt{2} + 2}} + \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) - 210 \, {\left(x + 1\right)} \sqrt{-\frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{2 \, \sqrt{2} + 2}} \log\left(-\frac{1}{4} \, {\left({\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{3} - 8 \, \sqrt{2} - 8 \, \sqrt{2 \, \sqrt{2} + 2} - 16\right)} \sqrt{-\frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{2 \, \sqrt{2} + 2}} + \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) + 210 \, \sqrt{2} {\left(x + 1\right)} \log\left(\frac{2 \, {\left(\sqrt{2} \sqrt{x + 1} \sqrt{\sqrt{x + 1} + 1} + \sqrt{2} \sqrt{x + 1}\right)} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1} + x + 4 \, \sqrt{x + 1} \sqrt{\sqrt{x + 1} + 1} + 4 \, \sqrt{x + 1} + 1}{x + 1}\right) - 8 \, {\left(3 \, {\left(12 \, x + 47\right)} \sqrt{x + 1} - {\left(15 \, {\left(2 \, x + 9\right)} \sqrt{x + 1} + 8 \, x + 8\right)} \sqrt{\sqrt{x + 1} + 1} - 8 \, x - 8\right)} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}{210 \, {\left(x + 1\right)}}"," ",0,"1/210*(105*(x + 1)*sqrt(2*sqrt(2) + 2*sqrt(-3/4*(sqrt(2) + sqrt(2*sqrt(2) + 2))^2 - 1/2*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)) - 3/4*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 8))*log(1/8*((sqrt(2) + sqrt(2*sqrt(2) + 2))^2*(sqrt(2) - sqrt(2*sqrt(2) + 2)) + (sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 - 2*sqrt(-3/4*(sqrt(2) + sqrt(2*sqrt(2) + 2))^2 - 1/2*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)) - 3/4*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 8)*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)))*sqrt(2*sqrt(2) + 2*sqrt(-3/4*(sqrt(2) + sqrt(2*sqrt(2) + 2))^2 - 1/2*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)) - 3/4*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 8)) + 2*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) - 105*(x + 1)*sqrt(2*sqrt(2) + 2*sqrt(-3/4*(sqrt(2) + sqrt(2*sqrt(2) + 2))^2 - 1/2*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)) - 3/4*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 8))*log(-1/8*((sqrt(2) + sqrt(2*sqrt(2) + 2))^2*(sqrt(2) - sqrt(2*sqrt(2) + 2)) + (sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 - 2*sqrt(-3/4*(sqrt(2) + sqrt(2*sqrt(2) + 2))^2 - 1/2*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)) - 3/4*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 8)*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)))*sqrt(2*sqrt(2) + 2*sqrt(-3/4*(sqrt(2) + sqrt(2*sqrt(2) + 2))^2 - 1/2*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)) - 3/4*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 8)) + 2*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) + 105*(x + 1)*sqrt(2*sqrt(2) - 2*sqrt(-3/4*(sqrt(2) + sqrt(2*sqrt(2) + 2))^2 - 1/2*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)) - 3/4*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 8))*log(1/8*((sqrt(2) + sqrt(2*sqrt(2) + 2))^2*(sqrt(2) - sqrt(2*sqrt(2) + 2)) + (sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 2*sqrt(-3/4*(sqrt(2) + sqrt(2*sqrt(2) + 2))^2 - 1/2*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)) - 3/4*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 8)*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)))*sqrt(2*sqrt(2) - 2*sqrt(-3/4*(sqrt(2) + sqrt(2*sqrt(2) + 2))^2 - 1/2*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)) - 3/4*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 8)) + 2*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) - 105*(x + 1)*sqrt(2*sqrt(2) - 2*sqrt(-3/4*(sqrt(2) + sqrt(2*sqrt(2) + 2))^2 - 1/2*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)) - 3/4*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 8))*log(-1/8*((sqrt(2) + sqrt(2*sqrt(2) + 2))^2*(sqrt(2) - sqrt(2*sqrt(2) + 2)) + (sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 2*sqrt(-3/4*(sqrt(2) + sqrt(2*sqrt(2) + 2))^2 - 1/2*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)) - 3/4*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 8)*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)))*sqrt(2*sqrt(2) - 2*sqrt(-3/4*(sqrt(2) + sqrt(2*sqrt(2) + 2))^2 - 1/2*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)) - 3/4*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 8)) + 2*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) - 210*(x + 1)*sqrt(-1/2*sqrt(2) + 1/2*sqrt(2*sqrt(2) + 2))*log(1/4*((sqrt(2) + sqrt(2*sqrt(2) + 2))^3 + (sqrt(2) + sqrt(2*sqrt(2) + 2))^2*(sqrt(2) - sqrt(2*sqrt(2) + 2)) + (sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 - 8*sqrt(2) - 8*sqrt(2*sqrt(2) + 2))*sqrt(-1/2*sqrt(2) + 1/2*sqrt(2*sqrt(2) + 2)) + sqrt(sqrt(sqrt(x + 1) + 1) + 1)) + 210*(x + 1)*sqrt(-1/2*sqrt(2) + 1/2*sqrt(2*sqrt(2) + 2))*log(-1/4*((sqrt(2) + sqrt(2*sqrt(2) + 2))^3 + (sqrt(2) + sqrt(2*sqrt(2) + 2))^2*(sqrt(2) - sqrt(2*sqrt(2) + 2)) + (sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 - 8*sqrt(2) - 8*sqrt(2*sqrt(2) + 2))*sqrt(-1/2*sqrt(2) + 1/2*sqrt(2*sqrt(2) + 2)) + sqrt(sqrt(sqrt(x + 1) + 1) + 1)) + 210*(x + 1)*sqrt(-1/2*sqrt(2) - 1/2*sqrt(2*sqrt(2) + 2))*log(1/4*((sqrt(2) + sqrt(2*sqrt(2) + 2))^3 - 8*sqrt(2) - 8*sqrt(2*sqrt(2) + 2) - 16)*sqrt(-1/2*sqrt(2) - 1/2*sqrt(2*sqrt(2) + 2)) + sqrt(sqrt(sqrt(x + 1) + 1) + 1)) - 210*(x + 1)*sqrt(-1/2*sqrt(2) - 1/2*sqrt(2*sqrt(2) + 2))*log(-1/4*((sqrt(2) + sqrt(2*sqrt(2) + 2))^3 - 8*sqrt(2) - 8*sqrt(2*sqrt(2) + 2) - 16)*sqrt(-1/2*sqrt(2) - 1/2*sqrt(2*sqrt(2) + 2)) + sqrt(sqrt(sqrt(x + 1) + 1) + 1)) + 210*sqrt(2)*(x + 1)*log((2*(sqrt(2)*sqrt(x + 1)*sqrt(sqrt(x + 1) + 1) + sqrt(2)*sqrt(x + 1))*sqrt(sqrt(sqrt(x + 1) + 1) + 1) + x + 4*sqrt(x + 1)*sqrt(sqrt(x + 1) + 1) + 4*sqrt(x + 1) + 1)/(x + 1)) - 8*(3*(12*x + 47)*sqrt(x + 1) - (15*(2*x + 9)*sqrt(x + 1) + 8*x + 8)*sqrt(sqrt(x + 1) + 1) - 8*x - 8)*sqrt(sqrt(sqrt(x + 1) + 1) + 1))/(x + 1)","B",0
2143,1,2034,0,1.297299," ","integrate((x^2+1)/(x^2-1)/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{105 \, {\left(x + 1\right)} \sqrt{2 \, \sqrt{2} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} - \frac{3}{4} \, {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 8}} \log\left(\frac{1}{8} \, {\left({\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} + {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} - \frac{3}{4} \, {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 8} {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}\right)} \sqrt{2 \, \sqrt{2} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} - \frac{3}{4} \, {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 8}} + 2 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) - 105 \, {\left(x + 1\right)} \sqrt{2 \, \sqrt{2} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} - \frac{3}{4} \, {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 8}} \log\left(-\frac{1}{8} \, {\left({\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} + {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} - \frac{3}{4} \, {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 8} {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}\right)} \sqrt{2 \, \sqrt{2} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} - \frac{3}{4} \, {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 8}} + 2 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) + 105 \, {\left(x + 1\right)} \sqrt{2 \, \sqrt{2} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} - \frac{3}{4} \, {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 8}} \log\left(\frac{1}{8} \, {\left({\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} + {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} - \frac{3}{4} \, {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 8} {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}\right)} \sqrt{2 \, \sqrt{2} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} - \frac{3}{4} \, {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 8}} + 2 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) - 105 \, {\left(x + 1\right)} \sqrt{2 \, \sqrt{2} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} - \frac{3}{4} \, {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 8}} \log\left(-\frac{1}{8} \, {\left({\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} + {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} - \frac{3}{4} \, {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 8} {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}\right)} \sqrt{2 \, \sqrt{2} - 2 \, \sqrt{-\frac{3}{4} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - \frac{1}{2} \, {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} - \frac{3}{4} \, {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} + 8}} + 2 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) - 210 \, {\left(x + 1\right)} \sqrt{-\frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{2 \, \sqrt{2} + 2}} \log\left(\frac{1}{4} \, {\left({\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{3} + {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} + {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - 8 \, \sqrt{2} - 8 \, \sqrt{2 \, \sqrt{2} + 2}\right)} \sqrt{-\frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{2 \, \sqrt{2} + 2}} + \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) + 210 \, {\left(x + 1\right)} \sqrt{-\frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{2 \, \sqrt{2} + 2}} \log\left(-\frac{1}{4} \, {\left({\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{3} + {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)} + {\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)} {\left(\sqrt{2} - \sqrt{2 \, \sqrt{2} + 2}\right)}^{2} - 8 \, \sqrt{2} - 8 \, \sqrt{2 \, \sqrt{2} + 2}\right)} \sqrt{-\frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{2 \, \sqrt{2} + 2}} + \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) + 210 \, {\left(x + 1\right)} \sqrt{-\frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{2 \, \sqrt{2} + 2}} \log\left(\frac{1}{4} \, {\left({\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{3} - 8 \, \sqrt{2} - 8 \, \sqrt{2 \, \sqrt{2} + 2} - 16\right)} \sqrt{-\frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{2 \, \sqrt{2} + 2}} + \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) - 210 \, {\left(x + 1\right)} \sqrt{-\frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{2 \, \sqrt{2} + 2}} \log\left(-\frac{1}{4} \, {\left({\left(\sqrt{2} + \sqrt{2 \, \sqrt{2} + 2}\right)}^{3} - 8 \, \sqrt{2} - 8 \, \sqrt{2 \, \sqrt{2} + 2} - 16\right)} \sqrt{-\frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{2 \, \sqrt{2} + 2}} + \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) + 210 \, \sqrt{2} {\left(x + 1\right)} \log\left(\frac{2 \, {\left(\sqrt{2} \sqrt{x + 1} \sqrt{\sqrt{x + 1} + 1} + \sqrt{2} \sqrt{x + 1}\right)} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1} + x + 4 \, \sqrt{x + 1} \sqrt{\sqrt{x + 1} + 1} + 4 \, \sqrt{x + 1} + 1}{x + 1}\right) - 8 \, {\left(3 \, {\left(12 \, x + 47\right)} \sqrt{x + 1} - {\left(15 \, {\left(2 \, x + 9\right)} \sqrt{x + 1} + 8 \, x + 8\right)} \sqrt{\sqrt{x + 1} + 1} - 8 \, x - 8\right)} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}{210 \, {\left(x + 1\right)}}"," ",0,"1/210*(105*(x + 1)*sqrt(2*sqrt(2) + 2*sqrt(-3/4*(sqrt(2) + sqrt(2*sqrt(2) + 2))^2 - 1/2*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)) - 3/4*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 8))*log(1/8*((sqrt(2) + sqrt(2*sqrt(2) + 2))^2*(sqrt(2) - sqrt(2*sqrt(2) + 2)) + (sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 - 2*sqrt(-3/4*(sqrt(2) + sqrt(2*sqrt(2) + 2))^2 - 1/2*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)) - 3/4*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 8)*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)))*sqrt(2*sqrt(2) + 2*sqrt(-3/4*(sqrt(2) + sqrt(2*sqrt(2) + 2))^2 - 1/2*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)) - 3/4*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 8)) + 2*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) - 105*(x + 1)*sqrt(2*sqrt(2) + 2*sqrt(-3/4*(sqrt(2) + sqrt(2*sqrt(2) + 2))^2 - 1/2*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)) - 3/4*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 8))*log(-1/8*((sqrt(2) + sqrt(2*sqrt(2) + 2))^2*(sqrt(2) - sqrt(2*sqrt(2) + 2)) + (sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 - 2*sqrt(-3/4*(sqrt(2) + sqrt(2*sqrt(2) + 2))^2 - 1/2*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)) - 3/4*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 8)*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)))*sqrt(2*sqrt(2) + 2*sqrt(-3/4*(sqrt(2) + sqrt(2*sqrt(2) + 2))^2 - 1/2*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)) - 3/4*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 8)) + 2*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) + 105*(x + 1)*sqrt(2*sqrt(2) - 2*sqrt(-3/4*(sqrt(2) + sqrt(2*sqrt(2) + 2))^2 - 1/2*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)) - 3/4*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 8))*log(1/8*((sqrt(2) + sqrt(2*sqrt(2) + 2))^2*(sqrt(2) - sqrt(2*sqrt(2) + 2)) + (sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 2*sqrt(-3/4*(sqrt(2) + sqrt(2*sqrt(2) + 2))^2 - 1/2*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)) - 3/4*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 8)*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)))*sqrt(2*sqrt(2) - 2*sqrt(-3/4*(sqrt(2) + sqrt(2*sqrt(2) + 2))^2 - 1/2*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)) - 3/4*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 8)) + 2*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) - 105*(x + 1)*sqrt(2*sqrt(2) - 2*sqrt(-3/4*(sqrt(2) + sqrt(2*sqrt(2) + 2))^2 - 1/2*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)) - 3/4*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 8))*log(-1/8*((sqrt(2) + sqrt(2*sqrt(2) + 2))^2*(sqrt(2) - sqrt(2*sqrt(2) + 2)) + (sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 2*sqrt(-3/4*(sqrt(2) + sqrt(2*sqrt(2) + 2))^2 - 1/2*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)) - 3/4*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 8)*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)))*sqrt(2*sqrt(2) - 2*sqrt(-3/4*(sqrt(2) + sqrt(2*sqrt(2) + 2))^2 - 1/2*(sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2)) - 3/4*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 + 8)) + 2*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) - 210*(x + 1)*sqrt(-1/2*sqrt(2) + 1/2*sqrt(2*sqrt(2) + 2))*log(1/4*((sqrt(2) + sqrt(2*sqrt(2) + 2))^3 + (sqrt(2) + sqrt(2*sqrt(2) + 2))^2*(sqrt(2) - sqrt(2*sqrt(2) + 2)) + (sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 - 8*sqrt(2) - 8*sqrt(2*sqrt(2) + 2))*sqrt(-1/2*sqrt(2) + 1/2*sqrt(2*sqrt(2) + 2)) + sqrt(sqrt(sqrt(x + 1) + 1) + 1)) + 210*(x + 1)*sqrt(-1/2*sqrt(2) + 1/2*sqrt(2*sqrt(2) + 2))*log(-1/4*((sqrt(2) + sqrt(2*sqrt(2) + 2))^3 + (sqrt(2) + sqrt(2*sqrt(2) + 2))^2*(sqrt(2) - sqrt(2*sqrt(2) + 2)) + (sqrt(2) + sqrt(2*sqrt(2) + 2))*(sqrt(2) - sqrt(2*sqrt(2) + 2))^2 - 8*sqrt(2) - 8*sqrt(2*sqrt(2) + 2))*sqrt(-1/2*sqrt(2) + 1/2*sqrt(2*sqrt(2) + 2)) + sqrt(sqrt(sqrt(x + 1) + 1) + 1)) + 210*(x + 1)*sqrt(-1/2*sqrt(2) - 1/2*sqrt(2*sqrt(2) + 2))*log(1/4*((sqrt(2) + sqrt(2*sqrt(2) + 2))^3 - 8*sqrt(2) - 8*sqrt(2*sqrt(2) + 2) - 16)*sqrt(-1/2*sqrt(2) - 1/2*sqrt(2*sqrt(2) + 2)) + sqrt(sqrt(sqrt(x + 1) + 1) + 1)) - 210*(x + 1)*sqrt(-1/2*sqrt(2) - 1/2*sqrt(2*sqrt(2) + 2))*log(-1/4*((sqrt(2) + sqrt(2*sqrt(2) + 2))^3 - 8*sqrt(2) - 8*sqrt(2*sqrt(2) + 2) - 16)*sqrt(-1/2*sqrt(2) - 1/2*sqrt(2*sqrt(2) + 2)) + sqrt(sqrt(sqrt(x + 1) + 1) + 1)) + 210*sqrt(2)*(x + 1)*log((2*(sqrt(2)*sqrt(x + 1)*sqrt(sqrt(x + 1) + 1) + sqrt(2)*sqrt(x + 1))*sqrt(sqrt(sqrt(x + 1) + 1) + 1) + x + 4*sqrt(x + 1)*sqrt(sqrt(x + 1) + 1) + 4*sqrt(x + 1) + 1)/(x + 1)) - 8*(3*(12*x + 47)*sqrt(x + 1) - (15*(2*x + 9)*sqrt(x + 1) + 8*x + 8)*sqrt(sqrt(x + 1) + 1) - 8*x - 8)*sqrt(sqrt(sqrt(x + 1) + 1) + 1))/(x + 1)","B",0
2144,-1,0,0,0.000000," ","integrate((x^3+x-1)/(x^3-x+1)/(x^3-x^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2145,-1,0,0,0.000000," ","integrate((x^3+x-1)/(x^3-x+1)/(x^3-x^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2146,1,291,0,2.125498," ","integrate((2*x^3+1)^(4/3)*(3*x^3+1)/x^8/(4*x^3+1),x, algorithm=""fricas"")","-\frac{56 \, \sqrt{3} 2^{\frac{1}{3}} x^{7} \arctan\left(-\frac{6 \, \sqrt{3} 2^{\frac{2}{3}} {\left(20 \, x^{8} + 10 \, x^{5} - x^{2}\right)} {\left(2 \, x^{3} + 1\right)}^{\frac{1}{3}} - 6 \, \sqrt{3} 2^{\frac{1}{3}} {\left(8 \, x^{7} - 2 \, x^{4} - x\right)} {\left(2 \, x^{3} + 1\right)}^{\frac{2}{3}} + \sqrt{3} {\left(8 \, x^{9} + 60 \, x^{6} + 24 \, x^{3} - 1\right)}}{3 \, {\left(152 \, x^{9} + 60 \, x^{6} - 12 \, x^{3} - 1\right)}}\right) - 56 \cdot 2^{\frac{1}{3}} x^{7} \log\left(\frac{6 \cdot 2^{\frac{1}{3}} {\left(2 \, x^{3} + 1\right)}^{\frac{1}{3}} x^{2} + 2^{\frac{2}{3}} {\left(4 \, x^{3} + 1\right)} + 6 \, {\left(2 \, x^{3} + 1\right)}^{\frac{2}{3}} x}{4 \, x^{3} + 1}\right) + 28 \cdot 2^{\frac{1}{3}} x^{7} \log\left(\frac{3 \cdot 2^{\frac{2}{3}} {\left(2 \, x^{4} - x\right)} {\left(2 \, x^{3} + 1\right)}^{\frac{2}{3}} - 2^{\frac{1}{3}} {\left(20 \, x^{6} + 10 \, x^{3} - 1\right)} + 12 \, {\left(x^{5} + x^{2}\right)} {\left(2 \, x^{3} + 1\right)}^{\frac{1}{3}}}{16 \, x^{6} + 8 \, x^{3} + 1}\right) + 9 \, {\left(58 \, x^{6} + 9 \, x^{3} + 4\right)} {\left(2 \, x^{3} + 1\right)}^{\frac{1}{3}}}{252 \, x^{7}}"," ",0,"-1/252*(56*sqrt(3)*2^(1/3)*x^7*arctan(-1/3*(6*sqrt(3)*2^(2/3)*(20*x^8 + 10*x^5 - x^2)*(2*x^3 + 1)^(1/3) - 6*sqrt(3)*2^(1/3)*(8*x^7 - 2*x^4 - x)*(2*x^3 + 1)^(2/3) + sqrt(3)*(8*x^9 + 60*x^6 + 24*x^3 - 1))/(152*x^9 + 60*x^6 - 12*x^3 - 1)) - 56*2^(1/3)*x^7*log((6*2^(1/3)*(2*x^3 + 1)^(1/3)*x^2 + 2^(2/3)*(4*x^3 + 1) + 6*(2*x^3 + 1)^(2/3)*x)/(4*x^3 + 1)) + 28*2^(1/3)*x^7*log((3*2^(2/3)*(2*x^4 - x)*(2*x^3 + 1)^(2/3) - 2^(1/3)*(20*x^6 + 10*x^3 - 1) + 12*(x^5 + x^2)*(2*x^3 + 1)^(1/3))/(16*x^6 + 8*x^3 + 1)) + 9*(58*x^6 + 9*x^3 + 4)*(2*x^3 + 1)^(1/3))/x^7","B",0
2147,1,2094,0,2.891580," ","integrate((x^2-1)/(x^2+1)/(x^4-x^2)^(1/3),x, algorithm=""fricas"")","-\frac{1}{32} \, \sqrt{3} 2^{\frac{2}{3}} \log\left(\frac{8500000 \, {\left(8 \, \sqrt{3} 2^{\frac{1}{3}} {\left(x^{4} - x^{2}\right)} + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(x^{2} - 1\right)} + 6 \cdot 2^{\frac{2}{3}} x\right)} + 2^{\frac{1}{3}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(3 \, x^{3} + 2 \, \sqrt{3} x^{2} - 3 \, x\right)}\right)}}{x^{5} + 2 \, x^{3} + x}\right) - \frac{1}{32} \, \sqrt{3} 2^{\frac{2}{3}} \log\left(\frac{2125000 \, {\left(8 \, \sqrt{3} 2^{\frac{1}{3}} {\left(x^{4} - x^{2}\right)} + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(x^{2} - 1\right)} + 6 \cdot 2^{\frac{2}{3}} x\right)} + 2^{\frac{1}{3}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(3 \, x^{3} + 2 \, \sqrt{3} x^{2} - 3 \, x\right)}\right)}}{x^{5} + 2 \, x^{3} + x}\right) + \frac{1}{32} \, \sqrt{3} 2^{\frac{2}{3}} \log\left(-\frac{2125000 \, {\left(8 \, \sqrt{3} 2^{\frac{1}{3}} {\left(x^{4} - x^{2}\right)} + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(x^{2} - 1\right)} - 6 \cdot 2^{\frac{2}{3}} x\right)} - 2^{\frac{1}{3}} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(3 \, x^{3} - 2 \, \sqrt{3} x^{2} - 3 \, x\right)}\right)}}{x^{5} + 2 \, x^{3} + x}\right) + \frac{1}{32} \, \sqrt{3} 2^{\frac{2}{3}} \log\left(-\frac{8500000 \, {\left(8 \, \sqrt{3} 2^{\frac{1}{3}} {\left(x^{4} - x^{2}\right)} + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(x^{2} - 1\right)} - 6 \cdot 2^{\frac{2}{3}} x\right)} - 2^{\frac{1}{3}} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(3 \, x^{3} - 2 \, \sqrt{3} x^{2} - 3 \, x\right)}\right)}}{x^{5} + 2 \, x^{3} + x}\right) + \frac{1}{4} \cdot 2^{\frac{2}{3}} \arctan\left(-\frac{74071498415429632 \, x^{9} + 1645279755446275808 \, x^{8} - 2346817955632029696 \, x^{7} - 11516958288123930656 \, x^{6} + 5730636889080074240 \, x^{5} + 11516958288123930656 \, x^{4} - 2346817955632029696 \, x^{3} - 1645279755446275808 \, x^{2} - 125 \, \sqrt{34} {\left(4 \, \sqrt{3} 2^{\frac{1}{3}} {\left(78465570355328 \, x^{9} - 3301419835659 \, x^{8} + 1100839094578688 \, x^{7} - 595767752585659 \, x^{6} - 3614058455553280 \, x^{5} + 595767752585659 \, x^{4} + 1100839094578688 \, x^{3} + 3301419835659 \, x^{2} + 78465570355328 \, x\right)} + 16 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(4 \, \sqrt{3} 2^{\frac{2}{3}} {\left(1513688563712 \, x^{6} + 57183135266496 \, x^{5} - 26977277846305 \, x^{4} - 167158338888320 \, x^{3} + 26977277846305 \, x^{2} + 57183135266496 \, x - 1513688563712\right)} - 2^{\frac{2}{3}} {\left(79163286177664 \, x^{6} - 56815411732213 \, x^{5} - 187311276664960 \, x^{4} + 112551186315710 \, x^{3} + 187311276664960 \, x^{2} - 56815411732213 \, x - 79163286177664\right)}\right)} - 2^{\frac{1}{3}} {\left(36167723835659 \, x^{9} + 4738598437685248 \, x^{8} - 1343569332842636 \, x^{7} - 16069401562314752 \, x^{6} + 2036119636643410 \, x^{5} + 16069401562314752 \, x^{4} - 1343569332842636 \, x^{3} - 4738598437685248 \, x^{2} + 36167723835659 \, x\right)} - 4 \, {\left(183204669874443 \, x^{7} + 4116235393055744 \, x^{6} - 2225700627116645 \, x^{5} - 10698715224852480 \, x^{4} + 2225700627116645 \, x^{3} + 4116235393055744 \, x^{2} - 531250 \, \sqrt{3} {\left(1009306368 \, x^{7} - 511421263 \, x^{6} - 4316628224 \, x^{5} + 1207618962 \, x^{4} + 4316628224 \, x^{3} - 511421263 \, x^{2} - 1009306368 \, x\right)} - 183204669874443 \, x\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}}\right)} \sqrt{\frac{8 \, \sqrt{3} 2^{\frac{1}{3}} {\left(x^{4} - x^{2}\right)} + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(x^{2} - 1\right)} + 6 \cdot 2^{\frac{2}{3}} x\right)} + 2^{\frac{1}{3}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(3 \, x^{3} + 2 \, \sqrt{3} x^{2} - 3 \, x\right)}}{x^{5} + 2 \, x^{3} + x}} - 1062500 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(2 \, \sqrt{3} 2^{\frac{1}{3}} {\left(23651383808 \, x^{6} + 470146644789 \, x^{5} - 226386757120 \, x^{4} - 71809982630 \, x^{3} + 226386757120 \, x^{2} + 470146644789 \, x - 23651383808\right)} - 2^{\frac{1}{3}} {\left(618463173263 \, x^{6} - 733160605696 \, x^{5} - 6989546598945 \, x^{4} + 2615047352320 \, x^{3} + 6989546598945 \, x^{2} - 733160605696 \, x - 618463173263\right)}\right)} - 265625 \, \sqrt{3} {\left(613012268401 \, x^{9} - 500076281856 \, x^{8} - 1596364015228 \, x^{7} + 3500533972992 \, x^{6} + 11774899788070 \, x^{5} - 3500533972992 \, x^{4} - 1596364015228 \, x^{3} + 500076281856 \, x^{2} + 613012268401 \, x\right)} - 1062500 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(217120826737 \, x^{7} + 155432605696 \, x^{6} + 1229224098945 \, x^{5} - 689287352320 \, x^{4} - 1229224098945 \, x^{3} + 155432605696 \, x^{2} - 217120826737 \, x\right)} - 2 \cdot 2^{\frac{2}{3}} {\left(71795383808 \, x^{7} + 1283539269789 \, x^{6} - 948546757120 \, x^{5} - 5040931232630 \, x^{4} + 948546757120 \, x^{3} + 1283539269789 \, x^{2} - 71795383808 \, x\right)}\right)} + 74071498415429632 \, x}{479958568556831351 \, x^{9} - 1202832749691437056 \, x^{8} - 12744795130528777828 \, x^{7} + 8419829247840059392 \, x^{6} + 32209010220853194570 \, x^{5} - 8419829247840059392 \, x^{4} - 12744795130528777828 \, x^{3} + 1202832749691437056 \, x^{2} + 479958568556831351 \, x}\right) - \frac{1}{4} \cdot 2^{\frac{2}{3}} \arctan\left(\frac{74071498415429632 \, x^{9} + 1645279755446275808 \, x^{8} - 2346817955632029696 \, x^{7} - 11516958288123930656 \, x^{6} + 5730636889080074240 \, x^{5} + 11516958288123930656 \, x^{4} - 2346817955632029696 \, x^{3} - 1645279755446275808 \, x^{2} + 125 \, \sqrt{34} {\left(4 \, \sqrt{3} 2^{\frac{1}{3}} {\left(78465570355328 \, x^{9} - 3301419835659 \, x^{8} + 1100839094578688 \, x^{7} - 595767752585659 \, x^{6} - 3614058455553280 \, x^{5} + 595767752585659 \, x^{4} + 1100839094578688 \, x^{3} + 3301419835659 \, x^{2} + 78465570355328 \, x\right)} + 16 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(4 \, \sqrt{3} 2^{\frac{2}{3}} {\left(1513688563712 \, x^{6} + 57183135266496 \, x^{5} - 26977277846305 \, x^{4} - 167158338888320 \, x^{3} + 26977277846305 \, x^{2} + 57183135266496 \, x - 1513688563712\right)} + 2^{\frac{2}{3}} {\left(79163286177664 \, x^{6} - 56815411732213 \, x^{5} - 187311276664960 \, x^{4} + 112551186315710 \, x^{3} + 187311276664960 \, x^{2} - 56815411732213 \, x - 79163286177664\right)}\right)} + 2^{\frac{1}{3}} {\left(36167723835659 \, x^{9} + 4738598437685248 \, x^{8} - 1343569332842636 \, x^{7} - 16069401562314752 \, x^{6} + 2036119636643410 \, x^{5} + 16069401562314752 \, x^{4} - 1343569332842636 \, x^{3} - 4738598437685248 \, x^{2} + 36167723835659 \, x\right)} + 4 \, {\left(183204669874443 \, x^{7} + 4116235393055744 \, x^{6} - 2225700627116645 \, x^{5} - 10698715224852480 \, x^{4} + 2225700627116645 \, x^{3} + 4116235393055744 \, x^{2} + 531250 \, \sqrt{3} {\left(1009306368 \, x^{7} - 511421263 \, x^{6} - 4316628224 \, x^{5} + 1207618962 \, x^{4} + 4316628224 \, x^{3} - 511421263 \, x^{2} - 1009306368 \, x\right)} - 183204669874443 \, x\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}}\right)} \sqrt{-\frac{8 \, \sqrt{3} 2^{\frac{1}{3}} {\left(x^{4} - x^{2}\right)} + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(x^{2} - 1\right)} - 6 \cdot 2^{\frac{2}{3}} x\right)} - 2^{\frac{1}{3}} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(3 \, x^{3} - 2 \, \sqrt{3} x^{2} - 3 \, x\right)}}{x^{5} + 2 \, x^{3} + x}} + 1062500 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(2 \, \sqrt{3} 2^{\frac{1}{3}} {\left(23651383808 \, x^{6} + 470146644789 \, x^{5} - 226386757120 \, x^{4} - 71809982630 \, x^{3} + 226386757120 \, x^{2} + 470146644789 \, x - 23651383808\right)} + 2^{\frac{1}{3}} {\left(618463173263 \, x^{6} - 733160605696 \, x^{5} - 6989546598945 \, x^{4} + 2615047352320 \, x^{3} + 6989546598945 \, x^{2} - 733160605696 \, x - 618463173263\right)}\right)} + 265625 \, \sqrt{3} {\left(613012268401 \, x^{9} - 500076281856 \, x^{8} - 1596364015228 \, x^{7} + 3500533972992 \, x^{6} + 11774899788070 \, x^{5} - 3500533972992 \, x^{4} - 1596364015228 \, x^{3} + 500076281856 \, x^{2} + 613012268401 \, x\right)} + 1062500 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(217120826737 \, x^{7} + 155432605696 \, x^{6} + 1229224098945 \, x^{5} - 689287352320 \, x^{4} - 1229224098945 \, x^{3} + 155432605696 \, x^{2} - 217120826737 \, x\right)} + 2 \cdot 2^{\frac{2}{3}} {\left(71795383808 \, x^{7} + 1283539269789 \, x^{6} - 948546757120 \, x^{5} - 5040931232630 \, x^{4} + 948546757120 \, x^{3} + 1283539269789 \, x^{2} - 71795383808 \, x\right)}\right)} + 74071498415429632 \, x}{479958568556831351 \, x^{9} - 1202832749691437056 \, x^{8} - 12744795130528777828 \, x^{7} + 8419829247840059392 \, x^{6} + 32209010220853194570 \, x^{5} - 8419829247840059392 \, x^{4} - 12744795130528777828 \, x^{3} + 1202832749691437056 \, x^{2} + 479958568556831351 \, x}\right) + \frac{1}{2} \cdot 2^{\frac{2}{3}} \arctan\left(-\frac{3564544 \, x^{5} + 249106968 \, x^{4} - 21387264 \, x^{3} + 2125000 \cdot 2^{\frac{2}{3}} {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(512 \, x^{3} + 59 \, x^{2} - 512 \, x\right)} + 1062500 \cdot 2^{\frac{1}{3}} {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(59 \, x^{2} - 2048 \, x - 59\right)} - 249106968 \, x^{2} - 125 \, \sqrt{34} 2^{\frac{1}{6}} {\left(4 \cdot 2^{\frac{2}{3}} {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(15104 \, x^{2} + 527769 \, x - 15104\right)} + 3481 \cdot 2^{\frac{1}{3}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(527769 \, x^{3} - 60416 \, x^{2} - 527769 \, x\right)}\right)} + 3564544 \, x}{2 \, {\left(205379 \, x^{5} - 2168870912 \, x^{4} - 1232274 \, x^{3} + 2168870912 \, x^{2} + 205379 \, x\right)}}\right)"," ",0,"-1/32*sqrt(3)*2^(2/3)*log(8500000*(8*sqrt(3)*2^(1/3)*(x^4 - x^2) + 2*(x^4 - x^2)^(2/3)*(sqrt(3)*2^(2/3)*(x^2 - 1) + 6*2^(2/3)*x) + 2^(1/3)*(x^5 + 2*x^3 + x) + 4*(x^4 - x^2)^(1/3)*(3*x^3 + 2*sqrt(3)*x^2 - 3*x))/(x^5 + 2*x^3 + x)) - 1/32*sqrt(3)*2^(2/3)*log(2125000*(8*sqrt(3)*2^(1/3)*(x^4 - x^2) + 2*(x^4 - x^2)^(2/3)*(sqrt(3)*2^(2/3)*(x^2 - 1) + 6*2^(2/3)*x) + 2^(1/3)*(x^5 + 2*x^3 + x) + 4*(x^4 - x^2)^(1/3)*(3*x^3 + 2*sqrt(3)*x^2 - 3*x))/(x^5 + 2*x^3 + x)) + 1/32*sqrt(3)*2^(2/3)*log(-2125000*(8*sqrt(3)*2^(1/3)*(x^4 - x^2) + 2*(x^4 - x^2)^(2/3)*(sqrt(3)*2^(2/3)*(x^2 - 1) - 6*2^(2/3)*x) - 2^(1/3)*(x^5 + 2*x^3 + x) - 4*(x^4 - x^2)^(1/3)*(3*x^3 - 2*sqrt(3)*x^2 - 3*x))/(x^5 + 2*x^3 + x)) + 1/32*sqrt(3)*2^(2/3)*log(-8500000*(8*sqrt(3)*2^(1/3)*(x^4 - x^2) + 2*(x^4 - x^2)^(2/3)*(sqrt(3)*2^(2/3)*(x^2 - 1) - 6*2^(2/3)*x) - 2^(1/3)*(x^5 + 2*x^3 + x) - 4*(x^4 - x^2)^(1/3)*(3*x^3 - 2*sqrt(3)*x^2 - 3*x))/(x^5 + 2*x^3 + x)) + 1/4*2^(2/3)*arctan(-(74071498415429632*x^9 + 1645279755446275808*x^8 - 2346817955632029696*x^7 - 11516958288123930656*x^6 + 5730636889080074240*x^5 + 11516958288123930656*x^4 - 2346817955632029696*x^3 - 1645279755446275808*x^2 - 125*sqrt(34)*(4*sqrt(3)*2^(1/3)*(78465570355328*x^9 - 3301419835659*x^8 + 1100839094578688*x^7 - 595767752585659*x^6 - 3614058455553280*x^5 + 595767752585659*x^4 + 1100839094578688*x^3 + 3301419835659*x^2 + 78465570355328*x) + 16*(x^4 - x^2)^(2/3)*(4*sqrt(3)*2^(2/3)*(1513688563712*x^6 + 57183135266496*x^5 - 26977277846305*x^4 - 167158338888320*x^3 + 26977277846305*x^2 + 57183135266496*x - 1513688563712) - 2^(2/3)*(79163286177664*x^6 - 56815411732213*x^5 - 187311276664960*x^4 + 112551186315710*x^3 + 187311276664960*x^2 - 56815411732213*x - 79163286177664)) - 2^(1/3)*(36167723835659*x^9 + 4738598437685248*x^8 - 1343569332842636*x^7 - 16069401562314752*x^6 + 2036119636643410*x^5 + 16069401562314752*x^4 - 1343569332842636*x^3 - 4738598437685248*x^2 + 36167723835659*x) - 4*(183204669874443*x^7 + 4116235393055744*x^6 - 2225700627116645*x^5 - 10698715224852480*x^4 + 2225700627116645*x^3 + 4116235393055744*x^2 - 531250*sqrt(3)*(1009306368*x^7 - 511421263*x^6 - 4316628224*x^5 + 1207618962*x^4 + 4316628224*x^3 - 511421263*x^2 - 1009306368*x) - 183204669874443*x)*(x^4 - x^2)^(1/3))*sqrt((8*sqrt(3)*2^(1/3)*(x^4 - x^2) + 2*(x^4 - x^2)^(2/3)*(sqrt(3)*2^(2/3)*(x^2 - 1) + 6*2^(2/3)*x) + 2^(1/3)*(x^5 + 2*x^3 + x) + 4*(x^4 - x^2)^(1/3)*(3*x^3 + 2*sqrt(3)*x^2 - 3*x))/(x^5 + 2*x^3 + x)) - 1062500*(x^4 - x^2)^(2/3)*(2*sqrt(3)*2^(1/3)*(23651383808*x^6 + 470146644789*x^5 - 226386757120*x^4 - 71809982630*x^3 + 226386757120*x^2 + 470146644789*x - 23651383808) - 2^(1/3)*(618463173263*x^6 - 733160605696*x^5 - 6989546598945*x^4 + 2615047352320*x^3 + 6989546598945*x^2 - 733160605696*x - 618463173263)) - 265625*sqrt(3)*(613012268401*x^9 - 500076281856*x^8 - 1596364015228*x^7 + 3500533972992*x^6 + 11774899788070*x^5 - 3500533972992*x^4 - 1596364015228*x^3 + 500076281856*x^2 + 613012268401*x) - 1062500*(x^4 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*(217120826737*x^7 + 155432605696*x^6 + 1229224098945*x^5 - 689287352320*x^4 - 1229224098945*x^3 + 155432605696*x^2 - 217120826737*x) - 2*2^(2/3)*(71795383808*x^7 + 1283539269789*x^6 - 948546757120*x^5 - 5040931232630*x^4 + 948546757120*x^3 + 1283539269789*x^2 - 71795383808*x)) + 74071498415429632*x)/(479958568556831351*x^9 - 1202832749691437056*x^8 - 12744795130528777828*x^7 + 8419829247840059392*x^6 + 32209010220853194570*x^5 - 8419829247840059392*x^4 - 12744795130528777828*x^3 + 1202832749691437056*x^2 + 479958568556831351*x)) - 1/4*2^(2/3)*arctan((74071498415429632*x^9 + 1645279755446275808*x^8 - 2346817955632029696*x^7 - 11516958288123930656*x^6 + 5730636889080074240*x^5 + 11516958288123930656*x^4 - 2346817955632029696*x^3 - 1645279755446275808*x^2 + 125*sqrt(34)*(4*sqrt(3)*2^(1/3)*(78465570355328*x^9 - 3301419835659*x^8 + 1100839094578688*x^7 - 595767752585659*x^6 - 3614058455553280*x^5 + 595767752585659*x^4 + 1100839094578688*x^3 + 3301419835659*x^2 + 78465570355328*x) + 16*(x^4 - x^2)^(2/3)*(4*sqrt(3)*2^(2/3)*(1513688563712*x^6 + 57183135266496*x^5 - 26977277846305*x^4 - 167158338888320*x^3 + 26977277846305*x^2 + 57183135266496*x - 1513688563712) + 2^(2/3)*(79163286177664*x^6 - 56815411732213*x^5 - 187311276664960*x^4 + 112551186315710*x^3 + 187311276664960*x^2 - 56815411732213*x - 79163286177664)) + 2^(1/3)*(36167723835659*x^9 + 4738598437685248*x^8 - 1343569332842636*x^7 - 16069401562314752*x^6 + 2036119636643410*x^5 + 16069401562314752*x^4 - 1343569332842636*x^3 - 4738598437685248*x^2 + 36167723835659*x) + 4*(183204669874443*x^7 + 4116235393055744*x^6 - 2225700627116645*x^5 - 10698715224852480*x^4 + 2225700627116645*x^3 + 4116235393055744*x^2 + 531250*sqrt(3)*(1009306368*x^7 - 511421263*x^6 - 4316628224*x^5 + 1207618962*x^4 + 4316628224*x^3 - 511421263*x^2 - 1009306368*x) - 183204669874443*x)*(x^4 - x^2)^(1/3))*sqrt(-(8*sqrt(3)*2^(1/3)*(x^4 - x^2) + 2*(x^4 - x^2)^(2/3)*(sqrt(3)*2^(2/3)*(x^2 - 1) - 6*2^(2/3)*x) - 2^(1/3)*(x^5 + 2*x^3 + x) - 4*(x^4 - x^2)^(1/3)*(3*x^3 - 2*sqrt(3)*x^2 - 3*x))/(x^5 + 2*x^3 + x)) + 1062500*(x^4 - x^2)^(2/3)*(2*sqrt(3)*2^(1/3)*(23651383808*x^6 + 470146644789*x^5 - 226386757120*x^4 - 71809982630*x^3 + 226386757120*x^2 + 470146644789*x - 23651383808) + 2^(1/3)*(618463173263*x^6 - 733160605696*x^5 - 6989546598945*x^4 + 2615047352320*x^3 + 6989546598945*x^2 - 733160605696*x - 618463173263)) + 265625*sqrt(3)*(613012268401*x^9 - 500076281856*x^8 - 1596364015228*x^7 + 3500533972992*x^6 + 11774899788070*x^5 - 3500533972992*x^4 - 1596364015228*x^3 + 500076281856*x^2 + 613012268401*x) + 1062500*(x^4 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*(217120826737*x^7 + 155432605696*x^6 + 1229224098945*x^5 - 689287352320*x^4 - 1229224098945*x^3 + 155432605696*x^2 - 217120826737*x) + 2*2^(2/3)*(71795383808*x^7 + 1283539269789*x^6 - 948546757120*x^5 - 5040931232630*x^4 + 948546757120*x^3 + 1283539269789*x^2 - 71795383808*x)) + 74071498415429632*x)/(479958568556831351*x^9 - 1202832749691437056*x^8 - 12744795130528777828*x^7 + 8419829247840059392*x^6 + 32209010220853194570*x^5 - 8419829247840059392*x^4 - 12744795130528777828*x^3 + 1202832749691437056*x^2 + 479958568556831351*x)) + 1/2*2^(2/3)*arctan(-1/2*(3564544*x^5 + 249106968*x^4 - 21387264*x^3 + 2125000*2^(2/3)*(x^4 - x^2)^(1/3)*(512*x^3 + 59*x^2 - 512*x) + 1062500*2^(1/3)*(x^4 - x^2)^(2/3)*(59*x^2 - 2048*x - 59) - 249106968*x^2 - 125*sqrt(34)*2^(1/6)*(4*2^(2/3)*(x^4 - x^2)^(2/3)*(15104*x^2 + 527769*x - 15104) + 3481*2^(1/3)*(x^5 + 2*x^3 + x) + 4*(x^4 - x^2)^(1/3)*(527769*x^3 - 60416*x^2 - 527769*x)) + 3564544*x)/(205379*x^5 - 2168870912*x^4 - 1232274*x^3 + 2168870912*x^2 + 205379*x))","B",0
2148,-1,0,0,0.000000," ","integrate((a*x^4-b*x^2)^(1/4)*(2*a*x^4-b)/(a*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2149,-1,0,0,0.000000," ","integrate((a*x^4-b*x^2)^(1/4)*(2*a*x^4-b)/(a*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2150,1,158,0,0.664387," ","integrate(x^3*(-4*a+3*x)/(x^2*(-a+x))^(2/3)/(d*x^4+a-x),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} {\left(d^{2}\right)}^{\frac{1}{6}} d \arctan\left(\frac{\sqrt{3} {\left({\left(d^{2}\right)}^{\frac{1}{3}} d x^{2} + 2 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} {\left(d^{2}\right)}^{\frac{2}{3}}\right)} {\left(d^{2}\right)}^{\frac{1}{6}}}{3 \, d^{2} x^{2}}\right) - 2 \, {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(\frac{{\left(d^{2}\right)}^{\frac{2}{3}} x^{2} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d}{x^{2}}\right) + {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(\frac{{\left(d^{2}\right)}^{\frac{1}{3}} d x^{4} + {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} {\left(d^{2}\right)}^{\frac{2}{3}} x^{2} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d}{x^{4}}\right)}{2 \, d^{2}}"," ",0,"-1/2*(2*sqrt(3)*(d^2)^(1/6)*d*arctan(1/3*sqrt(3)*((d^2)^(1/3)*d*x^2 + 2*(-a*x^2 + x^3)^(1/3)*(d^2)^(2/3))*(d^2)^(1/6)/(d^2*x^2)) - 2*(d^2)^(2/3)*log(((d^2)^(2/3)*x^2 - (-a*x^2 + x^3)^(1/3)*d)/x^2) + (d^2)^(2/3)*log(((d^2)^(1/3)*d*x^4 + (-a*x^2 + x^3)^(1/3)*(d^2)^(2/3)*x^2 + (-a*x^2 + x^3)^(2/3)*d)/x^4))/d^2","A",0
2151,-1,0,0,0.000000," ","integrate((a*x^6+b)/x^6/(a*x^3+b)/(a*x^4-b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2152,1,5738,0,13.253264," ","integrate((x^2-1)/(1+x)^(1/2)/(x^2+1)/(x+(1+x)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{1}{20} \, \sqrt{5} \sqrt{5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + 5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6} + 6} \log\left(-\frac{20 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, {\left(x + 3\right)} \sqrt{x + 1} - 35 \, x - 5\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} + 20 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 12 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, {\left(x + 3\right)} \sqrt{x + 1} - 320 \, x - 10\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 40 \, {\left({\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, {\left(x + 3\right)} \sqrt{x + 1} - 35 \, x - 5\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 5 \, {\left({\left({\left(x + 3\right)} \sqrt{x + 1} - 7 \, x - 1\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, {\left(x + 3\right)} \sqrt{x + 1} - 20 \, x - 10\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6} + 100 \, {\left({\left({\left(x + 3\right)} \sqrt{x + 1} - 7 \, x - 1\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 2 \, {\left({\left(x + 3\right)} \sqrt{x + 1} - 32 \, x - 1\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 20 \, {\left(x + 3\right)} \sqrt{x + 1} - 140 \, x + 180\right)} \sqrt{x + \sqrt{x + 1}} + {\left(5 \, {\left(6 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + {\left(30 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + {\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} + 200 \, \sqrt{5} {\left(9 \, x - 13\right)} \sqrt{x + 1} + 10 \, {\left(2 \, \sqrt{5} {\left(34 \, x - 3\right)} \sqrt{x + 1} + \sqrt{5} {\left(3 \, x^{2} + 54 \, x + 65\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + {\left({\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 20 \, \sqrt{5} {\left(34 \, x - 3\right)} \sqrt{x + 1} + 12 \, {\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, \sqrt{5} {\left(3 \, x^{2} + 54 \, x + 65\right)}\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 100 \, \sqrt{5} {\left(13 \, x^{2} + 24 \, x + 5\right)} + 2 \, {\left(100 \, \sqrt{5} {\left(4 \, x - 3\right)} \sqrt{x + 1} + 5 \, {\left(6 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + {\left(30 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + {\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 50 \, \sqrt{5} {\left(3 \, x^{2} - 6 \, x + 5\right)}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6}\right)} \sqrt{5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + 5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6} + 6}}{100 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{20} \, \sqrt{5} \sqrt{5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + 5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6} + 6} \log\left(-\frac{20 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, {\left(x + 3\right)} \sqrt{x + 1} - 35 \, x - 5\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} + 20 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 12 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, {\left(x + 3\right)} \sqrt{x + 1} - 320 \, x - 10\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 40 \, {\left({\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, {\left(x + 3\right)} \sqrt{x + 1} - 35 \, x - 5\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 5 \, {\left({\left({\left(x + 3\right)} \sqrt{x + 1} - 7 \, x - 1\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, {\left(x + 3\right)} \sqrt{x + 1} - 20 \, x - 10\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6} + 100 \, {\left({\left({\left(x + 3\right)} \sqrt{x + 1} - 7 \, x - 1\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 2 \, {\left({\left(x + 3\right)} \sqrt{x + 1} - 32 \, x - 1\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 20 \, {\left(x + 3\right)} \sqrt{x + 1} - 140 \, x + 180\right)} \sqrt{x + \sqrt{x + 1}} - {\left(5 \, {\left(6 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + {\left(30 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + {\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} + 200 \, \sqrt{5} {\left(9 \, x - 13\right)} \sqrt{x + 1} + 10 \, {\left(2 \, \sqrt{5} {\left(34 \, x - 3\right)} \sqrt{x + 1} + \sqrt{5} {\left(3 \, x^{2} + 54 \, x + 65\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + {\left({\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 20 \, \sqrt{5} {\left(34 \, x - 3\right)} \sqrt{x + 1} + 12 \, {\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, \sqrt{5} {\left(3 \, x^{2} + 54 \, x + 65\right)}\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 100 \, \sqrt{5} {\left(13 \, x^{2} + 24 \, x + 5\right)} + 2 \, {\left(100 \, \sqrt{5} {\left(4 \, x - 3\right)} \sqrt{x + 1} + 5 \, {\left(6 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + {\left(30 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + {\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 50 \, \sqrt{5} {\left(3 \, x^{2} - 6 \, x + 5\right)}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6}\right)} \sqrt{5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + 5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6} + 6}}{100 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{20} \, \sqrt{5} \sqrt{5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + 5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} + 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6} + 6} \log\left(-\frac{20 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, {\left(x + 3\right)} \sqrt{x + 1} - 35 \, x - 5\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} + 20 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 12 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, {\left(x + 3\right)} \sqrt{x + 1} - 320 \, x - 10\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - 40 \, {\left({\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, {\left(x + 3\right)} \sqrt{x + 1} - 35 \, x - 5\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 5 \, {\left({\left({\left(x + 3\right)} \sqrt{x + 1} - 7 \, x - 1\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, {\left(x + 3\right)} \sqrt{x + 1} - 20 \, x - 10\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6} + 100 \, {\left({\left({\left(x + 3\right)} \sqrt{x + 1} - 7 \, x - 1\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 2 \, {\left({\left(x + 3\right)} \sqrt{x + 1} - 32 \, x - 1\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 20 \, {\left(x + 3\right)} \sqrt{x + 1} - 140 \, x + 180\right)} \sqrt{x + \sqrt{x + 1}} + {\left(5 \, {\left(6 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + {\left(30 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + {\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} + 200 \, \sqrt{5} {\left(9 \, x - 13\right)} \sqrt{x + 1} + 10 \, {\left(2 \, \sqrt{5} {\left(34 \, x - 3\right)} \sqrt{x + 1} + \sqrt{5} {\left(3 \, x^{2} + 54 \, x + 65\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + {\left({\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 20 \, \sqrt{5} {\left(34 \, x - 3\right)} \sqrt{x + 1} + 12 \, {\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, \sqrt{5} {\left(3 \, x^{2} + 54 \, x + 65\right)}\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 100 \, \sqrt{5} {\left(13 \, x^{2} + 24 \, x + 5\right)} - 2 \, {\left(100 \, \sqrt{5} {\left(4 \, x - 3\right)} \sqrt{x + 1} + 5 \, {\left(6 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + {\left(30 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + {\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 50 \, \sqrt{5} {\left(3 \, x^{2} - 6 \, x + 5\right)}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6}\right)} \sqrt{5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + 5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} + 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6} + 6}}{100 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{20} \, \sqrt{5} \sqrt{5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + 5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} + 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6} + 6} \log\left(-\frac{20 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, {\left(x + 3\right)} \sqrt{x + 1} - 35 \, x - 5\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} + 20 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 12 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, {\left(x + 3\right)} \sqrt{x + 1} - 320 \, x - 10\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - 40 \, {\left({\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, {\left(x + 3\right)} \sqrt{x + 1} - 35 \, x - 5\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 5 \, {\left({\left({\left(x + 3\right)} \sqrt{x + 1} - 7 \, x - 1\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, {\left(x + 3\right)} \sqrt{x + 1} - 20 \, x - 10\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6} + 100 \, {\left({\left({\left(x + 3\right)} \sqrt{x + 1} - 7 \, x - 1\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 2 \, {\left({\left(x + 3\right)} \sqrt{x + 1} - 32 \, x - 1\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 20 \, {\left(x + 3\right)} \sqrt{x + 1} - 140 \, x + 180\right)} \sqrt{x + \sqrt{x + 1}} - {\left(5 \, {\left(6 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + {\left(30 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + {\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} + 200 \, \sqrt{5} {\left(9 \, x - 13\right)} \sqrt{x + 1} + 10 \, {\left(2 \, \sqrt{5} {\left(34 \, x - 3\right)} \sqrt{x + 1} + \sqrt{5} {\left(3 \, x^{2} + 54 \, x + 65\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + {\left({\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 20 \, \sqrt{5} {\left(34 \, x - 3\right)} \sqrt{x + 1} + 12 \, {\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, \sqrt{5} {\left(3 \, x^{2} + 54 \, x + 65\right)}\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 100 \, \sqrt{5} {\left(13 \, x^{2} + 24 \, x + 5\right)} - 2 \, {\left(100 \, \sqrt{5} {\left(4 \, x - 3\right)} \sqrt{x + 1} + 5 \, {\left(6 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + {\left(30 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + {\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 50 \, \sqrt{5} {\left(3 \, x^{2} - 6 \, x + 5\right)}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6}\right)} \sqrt{5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + 5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} + 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6} + 6}}{100 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} + \frac{1}{10} i + \frac{3}{10}} \log\left(\frac{2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, {\left(x + 3\right)} \sqrt{x + 1} - 35 \, x - 5\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} + 2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 12 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, {\left(x + 3\right)} \sqrt{x + 1} - 320 \, x - 10\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{3} + 12 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 60 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} - 50 \, {\left(x + 3\right)} \sqrt{x + 1} - 1150 \, x - 450\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{3} + 12 \, {\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - {\left(15 \, x^{2} - {\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 30 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 20 \, x + 75\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} + 650 \, x^{2} + 60 \, {\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + {\left({\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - 30 \, x^{2} + 12 \, {\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} - 20 \, {\left(34 \, x - 3\right)} \sqrt{x + 1} - 540 \, x - 650\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - 100 \, {\left(21 \, x + 13\right)} \sqrt{x + 1} - 1800 \, x - 2750\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} + \frac{1}{10} i + \frac{3}{10}}}{25 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} + \frac{1}{10} i + \frac{3}{10}} \log\left(\frac{2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, {\left(x + 3\right)} \sqrt{x + 1} - 35 \, x - 5\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} + 2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 12 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, {\left(x + 3\right)} \sqrt{x + 1} - 320 \, x - 10\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{3} + 12 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 60 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} - 50 \, {\left(x + 3\right)} \sqrt{x + 1} - 1150 \, x - 450\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{3} + 12 \, {\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - {\left(15 \, x^{2} - {\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 30 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 20 \, x + 75\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} + 650 \, x^{2} + 60 \, {\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + {\left({\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - 30 \, x^{2} + 12 \, {\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} - 20 \, {\left(34 \, x - 3\right)} \sqrt{x + 1} - 540 \, x - 650\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - 100 \, {\left(21 \, x + 13\right)} \sqrt{x + 1} - 1800 \, x - 2750\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} + \frac{1}{10} i + \frac{3}{10}}}{25 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - \frac{1}{10} i + \frac{3}{10}} \log\left(-\frac{2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{3} + {\left({\left(31 \, x - 27\right)} \sqrt{x + 1} - 37 \, x - 31\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 10 \, {\left({\left(17 \, x - 9\right)} \sqrt{x + 1} - 4 \, x - 17\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 50 \, {\left(13 \, x - 1\right)} \sqrt{x + 1} - 50 \, x - 150\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{3} + {\left(147 \, x^{2} + 6 \, {\left(7 \, x - 9\right)} \sqrt{x + 1} - 4 \, x - 105\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 1550 \, x^{2} + 10 \, {\left(69 \, x^{2} + 2 \, {\left(22 \, x - 9\right)} \sqrt{x + 1} + 42 \, x - 25\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 100 \, {\left(13 \, x + 9\right)} \sqrt{x + 1} + 1400 \, x - 250\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - \frac{1}{10} i + \frac{3}{10}}}{25 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - \frac{1}{10} i + \frac{3}{10}} \log\left(-\frac{2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{3} + {\left({\left(31 \, x - 27\right)} \sqrt{x + 1} - 37 \, x - 31\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 10 \, {\left({\left(17 \, x - 9\right)} \sqrt{x + 1} - 4 \, x - 17\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 50 \, {\left(13 \, x - 1\right)} \sqrt{x + 1} - 50 \, x - 150\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{3} + {\left(147 \, x^{2} + 6 \, {\left(7 \, x - 9\right)} \sqrt{x + 1} - 4 \, x - 105\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 1550 \, x^{2} + 10 \, {\left(69 \, x^{2} + 2 \, {\left(22 \, x - 9\right)} \sqrt{x + 1} + 42 \, x - 25\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 100 \, {\left(13 \, x + 9\right)} \sqrt{x + 1} + 1400 \, x - 250\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - \frac{1}{10} i + \frac{3}{10}}}{25 \, {\left(x^{2} + 1\right)}}\right) + \log\left(4 \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} + 1\right)} + 8 \, x + 8 \, \sqrt{x + 1} + 5\right)"," ",0,"1/20*sqrt(5)*sqrt(5*sqrt(14/25*I - 2/25) + 5*sqrt(-14/25*I - 2/25) - 2*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6) + 6)*log(-1/100*(20*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*(x + 3)*sqrt(x + 1) - 35*x - 5)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 + 20*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 12*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*(x + 3)*sqrt(x + 1) - 320*x - 10)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 40*((((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*(x + 3)*sqrt(x + 1) - 35*x - 5)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 5*(((x + 3)*sqrt(x + 1) - 7*x - 1)*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*(x + 3)*sqrt(x + 1) - 20*x - 10)*sqrt(x + sqrt(x + 1)))*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6) + 100*(((x + 3)*sqrt(x + 1) - 7*x - 1)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 2*((x + 3)*sqrt(x + 1) - 32*x - 1)*(5*sqrt(14/25*I - 2/25) + I - 3) + 20*(x + 3)*sqrt(x + 1) - 140*x + 180)*sqrt(x + sqrt(x + 1)) + (5*(6*sqrt(5)*(3*x - 1)*sqrt(x + 1) + sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + (30*sqrt(5)*(3*x - 1)*sqrt(x + 1) + (2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 + 200*sqrt(5)*(9*x - 13)*sqrt(x + 1) + 10*(2*sqrt(5)*(34*x - 3)*sqrt(x + 1) + sqrt(5)*(3*x^2 + 54*x + 65))*(5*sqrt(14/25*I - 2/25) + I - 3) + ((2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 20*sqrt(5)*(34*x - 3)*sqrt(x + 1) + 12*(2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*sqrt(5)*(3*x^2 + 54*x + 65))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 100*sqrt(5)*(13*x^2 + 24*x + 5) + 2*(100*sqrt(5)*(4*x - 3)*sqrt(x + 1) + 5*(6*sqrt(5)*(3*x - 1)*sqrt(x + 1) + sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + (30*sqrt(5)*(3*x - 1)*sqrt(x + 1) + (2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 50*sqrt(5)*(3*x^2 - 6*x + 5))*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6))*sqrt(5*sqrt(14/25*I - 2/25) + 5*sqrt(-14/25*I - 2/25) - 2*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6) + 6))/(x^2 + 1)) - 1/20*sqrt(5)*sqrt(5*sqrt(14/25*I - 2/25) + 5*sqrt(-14/25*I - 2/25) - 2*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6) + 6)*log(-1/100*(20*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*(x + 3)*sqrt(x + 1) - 35*x - 5)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 + 20*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 12*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*(x + 3)*sqrt(x + 1) - 320*x - 10)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 40*((((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*(x + 3)*sqrt(x + 1) - 35*x - 5)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 5*(((x + 3)*sqrt(x + 1) - 7*x - 1)*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*(x + 3)*sqrt(x + 1) - 20*x - 10)*sqrt(x + sqrt(x + 1)))*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6) + 100*(((x + 3)*sqrt(x + 1) - 7*x - 1)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 2*((x + 3)*sqrt(x + 1) - 32*x - 1)*(5*sqrt(14/25*I - 2/25) + I - 3) + 20*(x + 3)*sqrt(x + 1) - 140*x + 180)*sqrt(x + sqrt(x + 1)) - (5*(6*sqrt(5)*(3*x - 1)*sqrt(x + 1) + sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + (30*sqrt(5)*(3*x - 1)*sqrt(x + 1) + (2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 + 200*sqrt(5)*(9*x - 13)*sqrt(x + 1) + 10*(2*sqrt(5)*(34*x - 3)*sqrt(x + 1) + sqrt(5)*(3*x^2 + 54*x + 65))*(5*sqrt(14/25*I - 2/25) + I - 3) + ((2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 20*sqrt(5)*(34*x - 3)*sqrt(x + 1) + 12*(2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*sqrt(5)*(3*x^2 + 54*x + 65))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 100*sqrt(5)*(13*x^2 + 24*x + 5) + 2*(100*sqrt(5)*(4*x - 3)*sqrt(x + 1) + 5*(6*sqrt(5)*(3*x - 1)*sqrt(x + 1) + sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + (30*sqrt(5)*(3*x - 1)*sqrt(x + 1) + (2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 50*sqrt(5)*(3*x^2 - 6*x + 5))*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6))*sqrt(5*sqrt(14/25*I - 2/25) + 5*sqrt(-14/25*I - 2/25) - 2*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6) + 6))/(x^2 + 1)) + 1/20*sqrt(5)*sqrt(5*sqrt(14/25*I - 2/25) + 5*sqrt(-14/25*I - 2/25) + 2*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6) + 6)*log(-1/100*(20*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*(x + 3)*sqrt(x + 1) - 35*x - 5)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 + 20*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 12*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*(x + 3)*sqrt(x + 1) - 320*x - 10)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3) - 40*((((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*(x + 3)*sqrt(x + 1) - 35*x - 5)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 5*(((x + 3)*sqrt(x + 1) - 7*x - 1)*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*(x + 3)*sqrt(x + 1) - 20*x - 10)*sqrt(x + sqrt(x + 1)))*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6) + 100*(((x + 3)*sqrt(x + 1) - 7*x - 1)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 2*((x + 3)*sqrt(x + 1) - 32*x - 1)*(5*sqrt(14/25*I - 2/25) + I - 3) + 20*(x + 3)*sqrt(x + 1) - 140*x + 180)*sqrt(x + sqrt(x + 1)) + (5*(6*sqrt(5)*(3*x - 1)*sqrt(x + 1) + sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + (30*sqrt(5)*(3*x - 1)*sqrt(x + 1) + (2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 + 200*sqrt(5)*(9*x - 13)*sqrt(x + 1) + 10*(2*sqrt(5)*(34*x - 3)*sqrt(x + 1) + sqrt(5)*(3*x^2 + 54*x + 65))*(5*sqrt(14/25*I - 2/25) + I - 3) + ((2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 20*sqrt(5)*(34*x - 3)*sqrt(x + 1) + 12*(2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*sqrt(5)*(3*x^2 + 54*x + 65))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 100*sqrt(5)*(13*x^2 + 24*x + 5) - 2*(100*sqrt(5)*(4*x - 3)*sqrt(x + 1) + 5*(6*sqrt(5)*(3*x - 1)*sqrt(x + 1) + sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + (30*sqrt(5)*(3*x - 1)*sqrt(x + 1) + (2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 50*sqrt(5)*(3*x^2 - 6*x + 5))*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6))*sqrt(5*sqrt(14/25*I - 2/25) + 5*sqrt(-14/25*I - 2/25) + 2*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6) + 6))/(x^2 + 1)) - 1/20*sqrt(5)*sqrt(5*sqrt(14/25*I - 2/25) + 5*sqrt(-14/25*I - 2/25) + 2*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6) + 6)*log(-1/100*(20*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*(x + 3)*sqrt(x + 1) - 35*x - 5)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 + 20*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 12*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*(x + 3)*sqrt(x + 1) - 320*x - 10)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3) - 40*((((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*(x + 3)*sqrt(x + 1) - 35*x - 5)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 5*(((x + 3)*sqrt(x + 1) - 7*x - 1)*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*(x + 3)*sqrt(x + 1) - 20*x - 10)*sqrt(x + sqrt(x + 1)))*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6) + 100*(((x + 3)*sqrt(x + 1) - 7*x - 1)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 2*((x + 3)*sqrt(x + 1) - 32*x - 1)*(5*sqrt(14/25*I - 2/25) + I - 3) + 20*(x + 3)*sqrt(x + 1) - 140*x + 180)*sqrt(x + sqrt(x + 1)) - (5*(6*sqrt(5)*(3*x - 1)*sqrt(x + 1) + sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + (30*sqrt(5)*(3*x - 1)*sqrt(x + 1) + (2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 + 200*sqrt(5)*(9*x - 13)*sqrt(x + 1) + 10*(2*sqrt(5)*(34*x - 3)*sqrt(x + 1) + sqrt(5)*(3*x^2 + 54*x + 65))*(5*sqrt(14/25*I - 2/25) + I - 3) + ((2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 20*sqrt(5)*(34*x - 3)*sqrt(x + 1) + 12*(2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*sqrt(5)*(3*x^2 + 54*x + 65))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 100*sqrt(5)*(13*x^2 + 24*x + 5) - 2*(100*sqrt(5)*(4*x - 3)*sqrt(x + 1) + 5*(6*sqrt(5)*(3*x - 1)*sqrt(x + 1) + sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + (30*sqrt(5)*(3*x - 1)*sqrt(x + 1) + (2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 50*sqrt(5)*(3*x^2 - 6*x + 5))*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6))*sqrt(5*sqrt(14/25*I - 2/25) + 5*sqrt(-14/25*I - 2/25) + 2*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6) + 6))/(x^2 + 1)) - 1/2*sqrt(-1/2*sqrt(-14/25*I - 2/25) + 1/10*I + 3/10)*log(1/25*(2*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*(x + 3)*sqrt(x + 1) - 35*x - 5)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 + 2*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 12*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*(x + 3)*sqrt(x + 1) - 320*x - 10)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 2*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3)^3 + 12*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 60*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) - 50*(x + 3)*sqrt(x + 1) - 1150*x - 450)*sqrt(x + sqrt(x + 1)) + ((11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3)^3 + 12*(11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - (15*x^2 - (11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3) + 30*(3*x - 1)*sqrt(x + 1) + 20*x + 75)*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 + 650*x^2 + 60*(11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3) + ((11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 30*x^2 + 12*(11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3) - 20*(34*x - 3)*sqrt(x + 1) - 540*x - 650)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 100*(21*x + 13)*sqrt(x + 1) - 1800*x - 2750)*sqrt(-1/2*sqrt(-14/25*I - 2/25) + 1/10*I + 3/10))/(x^2 + 1)) + 1/2*sqrt(-1/2*sqrt(-14/25*I - 2/25) + 1/10*I + 3/10)*log(1/25*(2*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*(x + 3)*sqrt(x + 1) - 35*x - 5)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 + 2*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 12*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*(x + 3)*sqrt(x + 1) - 320*x - 10)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 2*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3)^3 + 12*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 60*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) - 50*(x + 3)*sqrt(x + 1) - 1150*x - 450)*sqrt(x + sqrt(x + 1)) - ((11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3)^3 + 12*(11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - (15*x^2 - (11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3) + 30*(3*x - 1)*sqrt(x + 1) + 20*x + 75)*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 + 650*x^2 + 60*(11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3) + ((11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 30*x^2 + 12*(11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3) - 20*(34*x - 3)*sqrt(x + 1) - 540*x - 650)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 100*(21*x + 13)*sqrt(x + 1) - 1800*x - 2750)*sqrt(-1/2*sqrt(-14/25*I - 2/25) + 1/10*I + 3/10))/(x^2 + 1)) - 1/2*sqrt(-1/2*sqrt(14/25*I - 2/25) - 1/10*I + 3/10)*log(-1/25*(2*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3)^3 + ((31*x - 27)*sqrt(x + 1) - 37*x - 31)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 10*((17*x - 9)*sqrt(x + 1) - 4*x - 17)*(5*sqrt(14/25*I - 2/25) + I - 3) + 50*(13*x - 1)*sqrt(x + 1) - 50*x - 150)*sqrt(x + sqrt(x + 1)) + ((11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3)^3 + (147*x^2 + 6*(7*x - 9)*sqrt(x + 1) - 4*x - 105)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 1550*x^2 + 10*(69*x^2 + 2*(22*x - 9)*sqrt(x + 1) + 42*x - 25)*(5*sqrt(14/25*I - 2/25) + I - 3) + 100*(13*x + 9)*sqrt(x + 1) + 1400*x - 250)*sqrt(-1/2*sqrt(14/25*I - 2/25) - 1/10*I + 3/10))/(x^2 + 1)) + 1/2*sqrt(-1/2*sqrt(14/25*I - 2/25) - 1/10*I + 3/10)*log(-1/25*(2*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3)^3 + ((31*x - 27)*sqrt(x + 1) - 37*x - 31)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 10*((17*x - 9)*sqrt(x + 1) - 4*x - 17)*(5*sqrt(14/25*I - 2/25) + I - 3) + 50*(13*x - 1)*sqrt(x + 1) - 50*x - 150)*sqrt(x + sqrt(x + 1)) - ((11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3)^3 + (147*x^2 + 6*(7*x - 9)*sqrt(x + 1) - 4*x - 105)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 1550*x^2 + 10*(69*x^2 + 2*(22*x - 9)*sqrt(x + 1) + 42*x - 25)*(5*sqrt(14/25*I - 2/25) + I - 3) + 100*(13*x + 9)*sqrt(x + 1) + 1400*x - 250)*sqrt(-1/2*sqrt(14/25*I - 2/25) - 1/10*I + 3/10))/(x^2 + 1)) + log(4*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) + 1) + 8*x + 8*sqrt(x + 1) + 5)","B",0
2153,1,5738,0,12.941968," ","integrate((x^2-1)/(1+x)^(1/2)/(x^2+1)/(x+(1+x)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{1}{20} \, \sqrt{5} \sqrt{5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + 5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6} + 6} \log\left(-\frac{20 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, {\left(x + 3\right)} \sqrt{x + 1} - 35 \, x - 5\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} + 20 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 12 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, {\left(x + 3\right)} \sqrt{x + 1} - 320 \, x - 10\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 40 \, {\left({\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, {\left(x + 3\right)} \sqrt{x + 1} - 35 \, x - 5\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 5 \, {\left({\left({\left(x + 3\right)} \sqrt{x + 1} - 7 \, x - 1\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, {\left(x + 3\right)} \sqrt{x + 1} - 20 \, x - 10\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6} + 100 \, {\left({\left({\left(x + 3\right)} \sqrt{x + 1} - 7 \, x - 1\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 2 \, {\left({\left(x + 3\right)} \sqrt{x + 1} - 32 \, x - 1\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 20 \, {\left(x + 3\right)} \sqrt{x + 1} - 140 \, x + 180\right)} \sqrt{x + \sqrt{x + 1}} + {\left(5 \, {\left(6 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + {\left(30 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + {\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} + 200 \, \sqrt{5} {\left(9 \, x - 13\right)} \sqrt{x + 1} + 10 \, {\left(2 \, \sqrt{5} {\left(34 \, x - 3\right)} \sqrt{x + 1} + \sqrt{5} {\left(3 \, x^{2} + 54 \, x + 65\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + {\left({\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 20 \, \sqrt{5} {\left(34 \, x - 3\right)} \sqrt{x + 1} + 12 \, {\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, \sqrt{5} {\left(3 \, x^{2} + 54 \, x + 65\right)}\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 100 \, \sqrt{5} {\left(13 \, x^{2} + 24 \, x + 5\right)} + 2 \, {\left(100 \, \sqrt{5} {\left(4 \, x - 3\right)} \sqrt{x + 1} + 5 \, {\left(6 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + {\left(30 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + {\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 50 \, \sqrt{5} {\left(3 \, x^{2} - 6 \, x + 5\right)}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6}\right)} \sqrt{5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + 5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6} + 6}}{100 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{20} \, \sqrt{5} \sqrt{5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + 5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6} + 6} \log\left(-\frac{20 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, {\left(x + 3\right)} \sqrt{x + 1} - 35 \, x - 5\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} + 20 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 12 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, {\left(x + 3\right)} \sqrt{x + 1} - 320 \, x - 10\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 40 \, {\left({\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, {\left(x + 3\right)} \sqrt{x + 1} - 35 \, x - 5\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 5 \, {\left({\left({\left(x + 3\right)} \sqrt{x + 1} - 7 \, x - 1\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, {\left(x + 3\right)} \sqrt{x + 1} - 20 \, x - 10\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6} + 100 \, {\left({\left({\left(x + 3\right)} \sqrt{x + 1} - 7 \, x - 1\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 2 \, {\left({\left(x + 3\right)} \sqrt{x + 1} - 32 \, x - 1\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 20 \, {\left(x + 3\right)} \sqrt{x + 1} - 140 \, x + 180\right)} \sqrt{x + \sqrt{x + 1}} - {\left(5 \, {\left(6 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + {\left(30 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + {\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} + 200 \, \sqrt{5} {\left(9 \, x - 13\right)} \sqrt{x + 1} + 10 \, {\left(2 \, \sqrt{5} {\left(34 \, x - 3\right)} \sqrt{x + 1} + \sqrt{5} {\left(3 \, x^{2} + 54 \, x + 65\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + {\left({\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 20 \, \sqrt{5} {\left(34 \, x - 3\right)} \sqrt{x + 1} + 12 \, {\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, \sqrt{5} {\left(3 \, x^{2} + 54 \, x + 65\right)}\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 100 \, \sqrt{5} {\left(13 \, x^{2} + 24 \, x + 5\right)} + 2 \, {\left(100 \, \sqrt{5} {\left(4 \, x - 3\right)} \sqrt{x + 1} + 5 \, {\left(6 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + {\left(30 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + {\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 50 \, \sqrt{5} {\left(3 \, x^{2} - 6 \, x + 5\right)}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6}\right)} \sqrt{5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + 5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6} + 6}}{100 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{20} \, \sqrt{5} \sqrt{5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + 5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} + 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6} + 6} \log\left(-\frac{20 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, {\left(x + 3\right)} \sqrt{x + 1} - 35 \, x - 5\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} + 20 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 12 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, {\left(x + 3\right)} \sqrt{x + 1} - 320 \, x - 10\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - 40 \, {\left({\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, {\left(x + 3\right)} \sqrt{x + 1} - 35 \, x - 5\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 5 \, {\left({\left({\left(x + 3\right)} \sqrt{x + 1} - 7 \, x - 1\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, {\left(x + 3\right)} \sqrt{x + 1} - 20 \, x - 10\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6} + 100 \, {\left({\left({\left(x + 3\right)} \sqrt{x + 1} - 7 \, x - 1\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 2 \, {\left({\left(x + 3\right)} \sqrt{x + 1} - 32 \, x - 1\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 20 \, {\left(x + 3\right)} \sqrt{x + 1} - 140 \, x + 180\right)} \sqrt{x + \sqrt{x + 1}} + {\left(5 \, {\left(6 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + {\left(30 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + {\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} + 200 \, \sqrt{5} {\left(9 \, x - 13\right)} \sqrt{x + 1} + 10 \, {\left(2 \, \sqrt{5} {\left(34 \, x - 3\right)} \sqrt{x + 1} + \sqrt{5} {\left(3 \, x^{2} + 54 \, x + 65\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + {\left({\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 20 \, \sqrt{5} {\left(34 \, x - 3\right)} \sqrt{x + 1} + 12 \, {\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, \sqrt{5} {\left(3 \, x^{2} + 54 \, x + 65\right)}\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 100 \, \sqrt{5} {\left(13 \, x^{2} + 24 \, x + 5\right)} - 2 \, {\left(100 \, \sqrt{5} {\left(4 \, x - 3\right)} \sqrt{x + 1} + 5 \, {\left(6 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + {\left(30 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + {\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 50 \, \sqrt{5} {\left(3 \, x^{2} - 6 \, x + 5\right)}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6}\right)} \sqrt{5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + 5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} + 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6} + 6}}{100 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{20} \, \sqrt{5} \sqrt{5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + 5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} + 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6} + 6} \log\left(-\frac{20 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, {\left(x + 3\right)} \sqrt{x + 1} - 35 \, x - 5\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} + 20 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 12 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, {\left(x + 3\right)} \sqrt{x + 1} - 320 \, x - 10\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - 40 \, {\left({\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, {\left(x + 3\right)} \sqrt{x + 1} - 35 \, x - 5\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 5 \, {\left({\left({\left(x + 3\right)} \sqrt{x + 1} - 7 \, x - 1\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, {\left(x + 3\right)} \sqrt{x + 1} - 20 \, x - 10\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6} + 100 \, {\left({\left({\left(x + 3\right)} \sqrt{x + 1} - 7 \, x - 1\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 2 \, {\left({\left(x + 3\right)} \sqrt{x + 1} - 32 \, x - 1\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 20 \, {\left(x + 3\right)} \sqrt{x + 1} - 140 \, x + 180\right)} \sqrt{x + \sqrt{x + 1}} - {\left(5 \, {\left(6 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + {\left(30 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + {\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} + 200 \, \sqrt{5} {\left(9 \, x - 13\right)} \sqrt{x + 1} + 10 \, {\left(2 \, \sqrt{5} {\left(34 \, x - 3\right)} \sqrt{x + 1} + \sqrt{5} {\left(3 \, x^{2} + 54 \, x + 65\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + {\left({\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 20 \, \sqrt{5} {\left(34 \, x - 3\right)} \sqrt{x + 1} + 12 \, {\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, \sqrt{5} {\left(3 \, x^{2} + 54 \, x + 65\right)}\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 100 \, \sqrt{5} {\left(13 \, x^{2} + 24 \, x + 5\right)} - 2 \, {\left(100 \, \sqrt{5} {\left(4 \, x - 3\right)} \sqrt{x + 1} + 5 \, {\left(6 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + {\left(30 \, \sqrt{5} {\left(3 \, x - 1\right)} \sqrt{x + 1} + {\left(2 \, \sqrt{5} {\left(2 \, x + 1\right)} \sqrt{x + 1} - \sqrt{5} {\left(11 \, x^{2} - 2 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, \sqrt{5} {\left(3 \, x^{2} + 4 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 50 \, \sqrt{5} {\left(3 \, x^{2} - 6 \, x + 5\right)}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6}\right)} \sqrt{5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + 5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} + 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i + 9\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} - 30 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - 6 i - 6} + 6}}{100 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} + \frac{1}{10} i + \frac{3}{10}} \log\left(\frac{2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, {\left(x + 3\right)} \sqrt{x + 1} - 35 \, x - 5\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} + 2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 12 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, {\left(x + 3\right)} \sqrt{x + 1} - 320 \, x - 10\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{3} + 12 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 60 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} - 50 \, {\left(x + 3\right)} \sqrt{x + 1} - 1150 \, x - 450\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{3} + 12 \, {\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - {\left(15 \, x^{2} - {\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 30 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 20 \, x + 75\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} + 650 \, x^{2} + 60 \, {\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + {\left({\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - 30 \, x^{2} + 12 \, {\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} - 20 \, {\left(34 \, x - 3\right)} \sqrt{x + 1} - 540 \, x - 650\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - 100 \, {\left(21 \, x + 13\right)} \sqrt{x + 1} - 1800 \, x - 2750\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} + \frac{1}{10} i + \frac{3}{10}}}{25 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} + \frac{1}{10} i + \frac{3}{10}} \log\left(\frac{2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 5 \, {\left(x + 3\right)} \sqrt{x + 1} - 35 \, x - 5\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} + 2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 12 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 10 \, {\left(x + 3\right)} \sqrt{x + 1} - 320 \, x - 10\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} + 2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{3} + 12 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 60 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} - 50 \, {\left(x + 3\right)} \sqrt{x + 1} - 1150 \, x - 450\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{3} + 12 \, {\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - {\left(15 \, x^{2} - {\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 30 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 20 \, x + 75\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)}^{2} + 650 \, x^{2} + 60 \, {\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + {\left({\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} - 30 \, x^{2} + 12 \, {\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} - 20 \, {\left(34 \, x - 3\right)} \sqrt{x + 1} - 540 \, x - 650\right)} {\left(5 \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} - i - 3\right)} - 100 \, {\left(21 \, x + 13\right)} \sqrt{x + 1} - 1800 \, x - 2750\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{14}{25} i - \frac{2}{25}} + \frac{1}{10} i + \frac{3}{10}}}{25 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - \frac{1}{10} i + \frac{3}{10}} \log\left(-\frac{2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{3} + {\left({\left(31 \, x - 27\right)} \sqrt{x + 1} - 37 \, x - 31\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 10 \, {\left({\left(17 \, x - 9\right)} \sqrt{x + 1} - 4 \, x - 17\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 50 \, {\left(13 \, x - 1\right)} \sqrt{x + 1} - 50 \, x - 150\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{3} + {\left(147 \, x^{2} + 6 \, {\left(7 \, x - 9\right)} \sqrt{x + 1} - 4 \, x - 105\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 1550 \, x^{2} + 10 \, {\left(69 \, x^{2} + 2 \, {\left(22 \, x - 9\right)} \sqrt{x + 1} + 42 \, x - 25\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 100 \, {\left(13 \, x + 9\right)} \sqrt{x + 1} + 1400 \, x - 250\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - \frac{1}{10} i + \frac{3}{10}}}{25 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - \frac{1}{10} i + \frac{3}{10}} \log\left(-\frac{2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{3} + {\left({\left(31 \, x - 27\right)} \sqrt{x + 1} - 37 \, x - 31\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 10 \, {\left({\left(17 \, x - 9\right)} \sqrt{x + 1} - 4 \, x - 17\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 50 \, {\left(13 \, x - 1\right)} \sqrt{x + 1} - 50 \, x - 150\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(11 \, x^{2} - 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 2 \, x - 15\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{3} + {\left(147 \, x^{2} + 6 \, {\left(7 \, x - 9\right)} \sqrt{x + 1} - 4 \, x - 105\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)}^{2} + 1550 \, x^{2} + 10 \, {\left(69 \, x^{2} + 2 \, {\left(22 \, x - 9\right)} \sqrt{x + 1} + 42 \, x - 25\right)} {\left(5 \, \sqrt{\frac{14}{25} i - \frac{2}{25}} + i - 3\right)} + 100 \, {\left(13 \, x + 9\right)} \sqrt{x + 1} + 1400 \, x - 250\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{14}{25} i - \frac{2}{25}} - \frac{1}{10} i + \frac{3}{10}}}{25 \, {\left(x^{2} + 1\right)}}\right) + \log\left(4 \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} + 1\right)} + 8 \, x + 8 \, \sqrt{x + 1} + 5\right)"," ",0,"1/20*sqrt(5)*sqrt(5*sqrt(14/25*I - 2/25) + 5*sqrt(-14/25*I - 2/25) - 2*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6) + 6)*log(-1/100*(20*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*(x + 3)*sqrt(x + 1) - 35*x - 5)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 + 20*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 12*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*(x + 3)*sqrt(x + 1) - 320*x - 10)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 40*((((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*(x + 3)*sqrt(x + 1) - 35*x - 5)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 5*(((x + 3)*sqrt(x + 1) - 7*x - 1)*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*(x + 3)*sqrt(x + 1) - 20*x - 10)*sqrt(x + sqrt(x + 1)))*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6) + 100*(((x + 3)*sqrt(x + 1) - 7*x - 1)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 2*((x + 3)*sqrt(x + 1) - 32*x - 1)*(5*sqrt(14/25*I - 2/25) + I - 3) + 20*(x + 3)*sqrt(x + 1) - 140*x + 180)*sqrt(x + sqrt(x + 1)) + (5*(6*sqrt(5)*(3*x - 1)*sqrt(x + 1) + sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + (30*sqrt(5)*(3*x - 1)*sqrt(x + 1) + (2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 + 200*sqrt(5)*(9*x - 13)*sqrt(x + 1) + 10*(2*sqrt(5)*(34*x - 3)*sqrt(x + 1) + sqrt(5)*(3*x^2 + 54*x + 65))*(5*sqrt(14/25*I - 2/25) + I - 3) + ((2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 20*sqrt(5)*(34*x - 3)*sqrt(x + 1) + 12*(2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*sqrt(5)*(3*x^2 + 54*x + 65))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 100*sqrt(5)*(13*x^2 + 24*x + 5) + 2*(100*sqrt(5)*(4*x - 3)*sqrt(x + 1) + 5*(6*sqrt(5)*(3*x - 1)*sqrt(x + 1) + sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + (30*sqrt(5)*(3*x - 1)*sqrt(x + 1) + (2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 50*sqrt(5)*(3*x^2 - 6*x + 5))*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6))*sqrt(5*sqrt(14/25*I - 2/25) + 5*sqrt(-14/25*I - 2/25) - 2*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6) + 6))/(x^2 + 1)) - 1/20*sqrt(5)*sqrt(5*sqrt(14/25*I - 2/25) + 5*sqrt(-14/25*I - 2/25) - 2*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6) + 6)*log(-1/100*(20*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*(x + 3)*sqrt(x + 1) - 35*x - 5)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 + 20*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 12*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*(x + 3)*sqrt(x + 1) - 320*x - 10)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 40*((((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*(x + 3)*sqrt(x + 1) - 35*x - 5)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 5*(((x + 3)*sqrt(x + 1) - 7*x - 1)*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*(x + 3)*sqrt(x + 1) - 20*x - 10)*sqrt(x + sqrt(x + 1)))*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6) + 100*(((x + 3)*sqrt(x + 1) - 7*x - 1)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 2*((x + 3)*sqrt(x + 1) - 32*x - 1)*(5*sqrt(14/25*I - 2/25) + I - 3) + 20*(x + 3)*sqrt(x + 1) - 140*x + 180)*sqrt(x + sqrt(x + 1)) - (5*(6*sqrt(5)*(3*x - 1)*sqrt(x + 1) + sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + (30*sqrt(5)*(3*x - 1)*sqrt(x + 1) + (2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 + 200*sqrt(5)*(9*x - 13)*sqrt(x + 1) + 10*(2*sqrt(5)*(34*x - 3)*sqrt(x + 1) + sqrt(5)*(3*x^2 + 54*x + 65))*(5*sqrt(14/25*I - 2/25) + I - 3) + ((2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 20*sqrt(5)*(34*x - 3)*sqrt(x + 1) + 12*(2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*sqrt(5)*(3*x^2 + 54*x + 65))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 100*sqrt(5)*(13*x^2 + 24*x + 5) + 2*(100*sqrt(5)*(4*x - 3)*sqrt(x + 1) + 5*(6*sqrt(5)*(3*x - 1)*sqrt(x + 1) + sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + (30*sqrt(5)*(3*x - 1)*sqrt(x + 1) + (2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 50*sqrt(5)*(3*x^2 - 6*x + 5))*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6))*sqrt(5*sqrt(14/25*I - 2/25) + 5*sqrt(-14/25*I - 2/25) - 2*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6) + 6))/(x^2 + 1)) + 1/20*sqrt(5)*sqrt(5*sqrt(14/25*I - 2/25) + 5*sqrt(-14/25*I - 2/25) + 2*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6) + 6)*log(-1/100*(20*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*(x + 3)*sqrt(x + 1) - 35*x - 5)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 + 20*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 12*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*(x + 3)*sqrt(x + 1) - 320*x - 10)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3) - 40*((((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*(x + 3)*sqrt(x + 1) - 35*x - 5)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 5*(((x + 3)*sqrt(x + 1) - 7*x - 1)*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*(x + 3)*sqrt(x + 1) - 20*x - 10)*sqrt(x + sqrt(x + 1)))*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6) + 100*(((x + 3)*sqrt(x + 1) - 7*x - 1)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 2*((x + 3)*sqrt(x + 1) - 32*x - 1)*(5*sqrt(14/25*I - 2/25) + I - 3) + 20*(x + 3)*sqrt(x + 1) - 140*x + 180)*sqrt(x + sqrt(x + 1)) + (5*(6*sqrt(5)*(3*x - 1)*sqrt(x + 1) + sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + (30*sqrt(5)*(3*x - 1)*sqrt(x + 1) + (2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 + 200*sqrt(5)*(9*x - 13)*sqrt(x + 1) + 10*(2*sqrt(5)*(34*x - 3)*sqrt(x + 1) + sqrt(5)*(3*x^2 + 54*x + 65))*(5*sqrt(14/25*I - 2/25) + I - 3) + ((2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 20*sqrt(5)*(34*x - 3)*sqrt(x + 1) + 12*(2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*sqrt(5)*(3*x^2 + 54*x + 65))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 100*sqrt(5)*(13*x^2 + 24*x + 5) - 2*(100*sqrt(5)*(4*x - 3)*sqrt(x + 1) + 5*(6*sqrt(5)*(3*x - 1)*sqrt(x + 1) + sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + (30*sqrt(5)*(3*x - 1)*sqrt(x + 1) + (2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 50*sqrt(5)*(3*x^2 - 6*x + 5))*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6))*sqrt(5*sqrt(14/25*I - 2/25) + 5*sqrt(-14/25*I - 2/25) + 2*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6) + 6))/(x^2 + 1)) - 1/20*sqrt(5)*sqrt(5*sqrt(14/25*I - 2/25) + 5*sqrt(-14/25*I - 2/25) + 2*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6) + 6)*log(-1/100*(20*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*(x + 3)*sqrt(x + 1) - 35*x - 5)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 + 20*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 12*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*(x + 3)*sqrt(x + 1) - 320*x - 10)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3) - 40*((((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*(x + 3)*sqrt(x + 1) - 35*x - 5)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 5*(((x + 3)*sqrt(x + 1) - 7*x - 1)*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*(x + 3)*sqrt(x + 1) - 20*x - 10)*sqrt(x + sqrt(x + 1)))*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6) + 100*(((x + 3)*sqrt(x + 1) - 7*x - 1)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 2*((x + 3)*sqrt(x + 1) - 32*x - 1)*(5*sqrt(14/25*I - 2/25) + I - 3) + 20*(x + 3)*sqrt(x + 1) - 140*x + 180)*sqrt(x + sqrt(x + 1)) - (5*(6*sqrt(5)*(3*x - 1)*sqrt(x + 1) + sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + (30*sqrt(5)*(3*x - 1)*sqrt(x + 1) + (2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 + 200*sqrt(5)*(9*x - 13)*sqrt(x + 1) + 10*(2*sqrt(5)*(34*x - 3)*sqrt(x + 1) + sqrt(5)*(3*x^2 + 54*x + 65))*(5*sqrt(14/25*I - 2/25) + I - 3) + ((2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 20*sqrt(5)*(34*x - 3)*sqrt(x + 1) + 12*(2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*sqrt(5)*(3*x^2 + 54*x + 65))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 100*sqrt(5)*(13*x^2 + 24*x + 5) - 2*(100*sqrt(5)*(4*x - 3)*sqrt(x + 1) + 5*(6*sqrt(5)*(3*x - 1)*sqrt(x + 1) + sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + (30*sqrt(5)*(3*x - 1)*sqrt(x + 1) + (2*sqrt(5)*(2*x + 1)*sqrt(x + 1) - sqrt(5)*(11*x^2 - 2*x - 15))*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*sqrt(5)*(3*x^2 + 4*x + 15))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 50*sqrt(5)*(3*x^2 - 6*x + 5))*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6))*sqrt(5*sqrt(14/25*I - 2/25) + 5*sqrt(-14/25*I - 2/25) + 2*sqrt(-3/4*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 1/2*(5*sqrt(14/25*I - 2/25) + I + 9)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 3/4*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 - 30*sqrt(14/25*I - 2/25) - 6*I - 6) + 6))/(x^2 + 1)) - 1/2*sqrt(-1/2*sqrt(-14/25*I - 2/25) + 1/10*I + 3/10)*log(1/25*(2*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*(x + 3)*sqrt(x + 1) - 35*x - 5)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 + 2*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 12*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*(x + 3)*sqrt(x + 1) - 320*x - 10)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 2*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3)^3 + 12*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 60*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) - 50*(x + 3)*sqrt(x + 1) - 1150*x - 450)*sqrt(x + sqrt(x + 1)) + ((11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3)^3 + 12*(11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - (15*x^2 - (11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3) + 30*(3*x - 1)*sqrt(x + 1) + 20*x + 75)*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 + 650*x^2 + 60*(11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3) + ((11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 30*x^2 + 12*(11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3) - 20*(34*x - 3)*sqrt(x + 1) - 540*x - 650)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 100*(21*x + 13)*sqrt(x + 1) - 1800*x - 2750)*sqrt(-1/2*sqrt(-14/25*I - 2/25) + 1/10*I + 3/10))/(x^2 + 1)) + 1/2*sqrt(-1/2*sqrt(-14/25*I - 2/25) + 1/10*I + 3/10)*log(1/25*(2*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 5*(x + 3)*sqrt(x + 1) - 35*x - 5)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 + 2*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 12*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) + 10*(x + 3)*sqrt(x + 1) - 320*x - 10)*sqrt(x + sqrt(x + 1))*(5*sqrt(-14/25*I - 2/25) - I - 3) + 2*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3)^3 + 12*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 60*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3) - 50*(x + 3)*sqrt(x + 1) - 1150*x - 450)*sqrt(x + sqrt(x + 1)) - ((11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3)^3 + 12*(11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - (15*x^2 - (11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3) + 30*(3*x - 1)*sqrt(x + 1) + 20*x + 75)*(5*sqrt(-14/25*I - 2/25) - I - 3)^2 + 650*x^2 + 60*(11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3) + ((11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 - 30*x^2 + 12*(11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3) - 20*(34*x - 3)*sqrt(x + 1) - 540*x - 650)*(5*sqrt(-14/25*I - 2/25) - I - 3) - 100*(21*x + 13)*sqrt(x + 1) - 1800*x - 2750)*sqrt(-1/2*sqrt(-14/25*I - 2/25) + 1/10*I + 3/10))/(x^2 + 1)) - 1/2*sqrt(-1/2*sqrt(14/25*I - 2/25) - 1/10*I + 3/10)*log(-1/25*(2*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3)^3 + ((31*x - 27)*sqrt(x + 1) - 37*x - 31)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 10*((17*x - 9)*sqrt(x + 1) - 4*x - 17)*(5*sqrt(14/25*I - 2/25) + I - 3) + 50*(13*x - 1)*sqrt(x + 1) - 50*x - 150)*sqrt(x + sqrt(x + 1)) + ((11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3)^3 + (147*x^2 + 6*(7*x - 9)*sqrt(x + 1) - 4*x - 105)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 1550*x^2 + 10*(69*x^2 + 2*(22*x - 9)*sqrt(x + 1) + 42*x - 25)*(5*sqrt(14/25*I - 2/25) + I - 3) + 100*(13*x + 9)*sqrt(x + 1) + 1400*x - 250)*sqrt(-1/2*sqrt(14/25*I - 2/25) - 1/10*I + 3/10))/(x^2 + 1)) + 1/2*sqrt(-1/2*sqrt(14/25*I - 2/25) - 1/10*I + 3/10)*log(-1/25*(2*(((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(14/25*I - 2/25) + I - 3)^3 + ((31*x - 27)*sqrt(x + 1) - 37*x - 31)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 10*((17*x - 9)*sqrt(x + 1) - 4*x - 17)*(5*sqrt(14/25*I - 2/25) + I - 3) + 50*(13*x - 1)*sqrt(x + 1) - 50*x - 150)*sqrt(x + sqrt(x + 1)) - ((11*x^2 - 2*(2*x + 1)*sqrt(x + 1) - 2*x - 15)*(5*sqrt(14/25*I - 2/25) + I - 3)^3 + (147*x^2 + 6*(7*x - 9)*sqrt(x + 1) - 4*x - 105)*(5*sqrt(14/25*I - 2/25) + I - 3)^2 + 1550*x^2 + 10*(69*x^2 + 2*(22*x - 9)*sqrt(x + 1) + 42*x - 25)*(5*sqrt(14/25*I - 2/25) + I - 3) + 100*(13*x + 9)*sqrt(x + 1) + 1400*x - 250)*sqrt(-1/2*sqrt(14/25*I - 2/25) - 1/10*I + 3/10))/(x^2 + 1)) + log(4*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) + 1) + 8*x + 8*sqrt(x + 1) + 5)","B",0
2154,1,236,0,1.815312," ","integrate(x^2*(a*x^2+(a^2*x^4+b)^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{2} \sqrt{a} b \log\left(4 \, a^{2} x^{4} + 4 \, \sqrt{a^{2} x^{4} + b} a x^{2} + 2 \, {\left(\sqrt{2} a^{\frac{3}{2}} x^{3} + \sqrt{2} \sqrt{a^{2} x^{4} + b} \sqrt{a} x\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} + b\right) + 4 \, {\left(3 \, a^{2} x^{3} - \sqrt{a^{2} x^{4} + b} a x\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{32 \, a^{2}}, -\frac{\sqrt{2} \sqrt{-a} b \arctan\left(\frac{\sqrt{2} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} \sqrt{-a}}{2 \, a x}\right) - 2 \, {\left(3 \, a^{2} x^{3} - \sqrt{a^{2} x^{4} + b} a x\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{16 \, a^{2}}\right]"," ",0,"[1/32*(sqrt(2)*sqrt(a)*b*log(4*a^2*x^4 + 4*sqrt(a^2*x^4 + b)*a*x^2 + 2*(sqrt(2)*a^(3/2)*x^3 + sqrt(2)*sqrt(a^2*x^4 + b)*sqrt(a)*x)*sqrt(a*x^2 + sqrt(a^2*x^4 + b)) + b) + 4*(3*a^2*x^3 - sqrt(a^2*x^4 + b)*a*x)*sqrt(a*x^2 + sqrt(a^2*x^4 + b)))/a^2, -1/16*(sqrt(2)*sqrt(-a)*b*arctan(1/2*sqrt(2)*sqrt(a*x^2 + sqrt(a^2*x^4 + b))*sqrt(-a)/(a*x)) - 2*(3*a^2*x^3 - sqrt(a^2*x^4 + b)*a*x)*sqrt(a*x^2 + sqrt(a^2*x^4 + b)))/a^2]","A",0
2155,1,291,0,0.603392," ","integrate(1/(a^2*x^2-b)^(1/2)/(a*x+(a^2*x^2-b)^(1/2))^(1/3)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/3))^(1/4),x, algorithm=""fricas"")","\frac{3 \, {\left(4 \, a b c \left(\frac{1}{a^{4} c^{5}}\right)^{\frac{1}{4}} \arctan\left(\sqrt{a^{2} c^{3} \sqrt{\frac{1}{a^{4} c^{5}}} + \sqrt{c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}}} a c \left(\frac{1}{a^{4} c^{5}}\right)^{\frac{1}{4}} - a {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{1}{4}} c \left(\frac{1}{a^{4} c^{5}}\right)^{\frac{1}{4}}\right) + a b c \left(\frac{1}{a^{4} c^{5}}\right)^{\frac{1}{4}} \log\left(a^{3} c^{4} \left(\frac{1}{a^{4} c^{5}}\right)^{\frac{3}{4}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{1}{4}}\right) - a b c \left(\frac{1}{a^{4} c^{5}}\right)^{\frac{1}{4}} \log\left(-a^{3} c^{4} \left(\frac{1}{a^{4} c^{5}}\right)^{\frac{3}{4}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{1}{4}}\right) - 4 \, {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{2}{3}} {\left(a x - \sqrt{a^{2} x^{2} - b}\right)} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{3}{4}}\right)}}{4 \, a b c}"," ",0,"3/4*(4*a*b*c*(1/(a^4*c^5))^(1/4)*arctan(sqrt(a^2*c^3*sqrt(1/(a^4*c^5)) + sqrt(c + (a*x + sqrt(a^2*x^2 - b))^(1/3)))*a*c*(1/(a^4*c^5))^(1/4) - a*(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(1/4)*c*(1/(a^4*c^5))^(1/4)) + a*b*c*(1/(a^4*c^5))^(1/4)*log(a^3*c^4*(1/(a^4*c^5))^(3/4) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(1/4)) - a*b*c*(1/(a^4*c^5))^(1/4)*log(-a^3*c^4*(1/(a^4*c^5))^(3/4) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(1/4)) - 4*(a*x + sqrt(a^2*x^2 - b))^(2/3)*(a*x - sqrt(a^2*x^2 - b))*(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(3/4))/(a*b*c)","B",0
2156,-1,0,0,0.000000," ","integrate((2*a-3*b+x)*(-a^3+3*a^2*x-3*a*x^2+x^3)/(-b+x)/((-a+x)*(-b+x)^2)^(1/4)/(-a^3-b^2*d+(3*a^2+2*b*d)*x-(3*a+d)*x^2+x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2157,1,590,0,0.625906," ","integrate((2*x^2-x+2)*(x^4-x^3)^(1/4)/(x^2-2*x-2),x, algorithm=""fricas"")","-6 \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{71 \, \sqrt{3} + 123}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \sqrt{71 \, \sqrt{3} + 123} {\left(19 \, \sqrt{3} - 33\right)} - {\left(19 \, \sqrt{3} x - 33 \, x\right)} \sqrt{71 \, \sqrt{3} + 123} \sqrt{-\frac{\sqrt{2} {\left(4 \, \sqrt{3} x^{2} - 7 \, x^{2}\right)} \sqrt{71 \, \sqrt{3} + 123} - 2 \, \sqrt{x^{4} - x^{3}}}{x^{2}}}\right)} \sqrt{\sqrt{2} \sqrt{71 \, \sqrt{3} + 123}}}{12 \, x}\right) + \frac{3}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{71 \, \sqrt{3} + 123}} \log\left(\frac{3 \, {\left(\sqrt{2} {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{2} \sqrt{71 \, \sqrt{3} + 123}} + 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}\right)}}{x}\right) - \frac{3}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{71 \, \sqrt{3} + 123}} \log\left(-\frac{3 \, {\left(\sqrt{2} {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{2} \sqrt{71 \, \sqrt{3} + 123}} - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}\right)}}{x}\right) + 2 \, \sqrt{2} {\left(-11502 \, \sqrt{3} + 19926\right)}^{\frac{1}{4}} \arctan\left(-\frac{3 \, \sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(19 \, \sqrt{3} + 33\right)} {\left(-11502 \, \sqrt{3} + 19926\right)}^{\frac{3}{4}} - {\left(19 \, \sqrt{3} x + 33 \, x\right)} {\left(-11502 \, \sqrt{3} + 19926\right)}^{\frac{3}{4}} \sqrt{\frac{{\left(4 \, \sqrt{3} x^{2} + 7 \, x^{2}\right)} \sqrt{-11502 \, \sqrt{3} + 19926} + 18 \, \sqrt{x^{4} - x^{3}}}{x^{2}}}}{972 \, x}\right) - \frac{1}{2} \, \sqrt{2} {\left(-11502 \, \sqrt{3} + 19926\right)}^{\frac{1}{4}} \log\left(\frac{\sqrt{2} {\left(\sqrt{3} x + 2 \, x\right)} {\left(-11502 \, \sqrt{3} + 19926\right)}^{\frac{1}{4}} + 6 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \sqrt{2} {\left(-11502 \, \sqrt{3} + 19926\right)}^{\frac{1}{4}} \log\left(-\frac{\sqrt{2} {\left(\sqrt{3} x + 2 \, x\right)} {\left(-11502 \, \sqrt{3} + 19926\right)}^{\frac{1}{4}} - 6 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{4} \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(4 \, x + 11\right)} + \frac{177}{8} \, \arctan\left(\frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{177}{16} \, \log\left(\frac{x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{177}{16} \, \log\left(-\frac{x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-6*sqrt(2)*sqrt(sqrt(2)*sqrt(71*sqrt(3) + 123))*arctan(-1/12*sqrt(2)*(sqrt(2)*(x^4 - x^3)^(1/4)*sqrt(71*sqrt(3) + 123)*(19*sqrt(3) - 33) - (19*sqrt(3)*x - 33*x)*sqrt(71*sqrt(3) + 123)*sqrt(-(sqrt(2)*(4*sqrt(3)*x^2 - 7*x^2)*sqrt(71*sqrt(3) + 123) - 2*sqrt(x^4 - x^3))/x^2))*sqrt(sqrt(2)*sqrt(71*sqrt(3) + 123))/x) + 3/2*sqrt(2)*sqrt(sqrt(2)*sqrt(71*sqrt(3) + 123))*log(3*(sqrt(2)*(sqrt(3)*x - 2*x)*sqrt(sqrt(2)*sqrt(71*sqrt(3) + 123)) + 2*(x^4 - x^3)^(1/4))/x) - 3/2*sqrt(2)*sqrt(sqrt(2)*sqrt(71*sqrt(3) + 123))*log(-3*(sqrt(2)*(sqrt(3)*x - 2*x)*sqrt(sqrt(2)*sqrt(71*sqrt(3) + 123)) - 2*(x^4 - x^3)^(1/4))/x) + 2*sqrt(2)*(-11502*sqrt(3) + 19926)^(1/4)*arctan(-1/972*(3*sqrt(2)*(x^4 - x^3)^(1/4)*(19*sqrt(3) + 33)*(-11502*sqrt(3) + 19926)^(3/4) - (19*sqrt(3)*x + 33*x)*(-11502*sqrt(3) + 19926)^(3/4)*sqrt(((4*sqrt(3)*x^2 + 7*x^2)*sqrt(-11502*sqrt(3) + 19926) + 18*sqrt(x^4 - x^3))/x^2))/x) - 1/2*sqrt(2)*(-11502*sqrt(3) + 19926)^(1/4)*log((sqrt(2)*(sqrt(3)*x + 2*x)*(-11502*sqrt(3) + 19926)^(1/4) + 6*(x^4 - x^3)^(1/4))/x) + 1/2*sqrt(2)*(-11502*sqrt(3) + 19926)^(1/4)*log(-(sqrt(2)*(sqrt(3)*x + 2*x)*(-11502*sqrt(3) + 19926)^(1/4) - 6*(x^4 - x^3)^(1/4))/x) + 1/4*(x^4 - x^3)^(1/4)*(4*x + 11) + 177/8*arctan((x^4 - x^3)^(1/4)/x) + 177/16*log((x + (x^4 - x^3)^(1/4))/x) - 177/16*log(-(x - (x^4 - x^3)^(1/4))/x)","B",0
2158,1,590,0,0.526271," ","integrate((2*x^2-x+2)*(x^4-x^3)^(1/4)/(x^2-2*x-2),x, algorithm=""fricas"")","-6 \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{71 \, \sqrt{3} + 123}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \sqrt{71 \, \sqrt{3} + 123} {\left(19 \, \sqrt{3} - 33\right)} - {\left(19 \, \sqrt{3} x - 33 \, x\right)} \sqrt{71 \, \sqrt{3} + 123} \sqrt{-\frac{\sqrt{2} {\left(4 \, \sqrt{3} x^{2} - 7 \, x^{2}\right)} \sqrt{71 \, \sqrt{3} + 123} - 2 \, \sqrt{x^{4} - x^{3}}}{x^{2}}}\right)} \sqrt{\sqrt{2} \sqrt{71 \, \sqrt{3} + 123}}}{12 \, x}\right) + \frac{3}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{71 \, \sqrt{3} + 123}} \log\left(\frac{3 \, {\left(\sqrt{2} {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{2} \sqrt{71 \, \sqrt{3} + 123}} + 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}\right)}}{x}\right) - \frac{3}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{71 \, \sqrt{3} + 123}} \log\left(-\frac{3 \, {\left(\sqrt{2} {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{\sqrt{2} \sqrt{71 \, \sqrt{3} + 123}} - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}\right)}}{x}\right) + 2 \, \sqrt{2} {\left(-11502 \, \sqrt{3} + 19926\right)}^{\frac{1}{4}} \arctan\left(-\frac{3 \, \sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(19 \, \sqrt{3} + 33\right)} {\left(-11502 \, \sqrt{3} + 19926\right)}^{\frac{3}{4}} - {\left(19 \, \sqrt{3} x + 33 \, x\right)} {\left(-11502 \, \sqrt{3} + 19926\right)}^{\frac{3}{4}} \sqrt{\frac{{\left(4 \, \sqrt{3} x^{2} + 7 \, x^{2}\right)} \sqrt{-11502 \, \sqrt{3} + 19926} + 18 \, \sqrt{x^{4} - x^{3}}}{x^{2}}}}{972 \, x}\right) - \frac{1}{2} \, \sqrt{2} {\left(-11502 \, \sqrt{3} + 19926\right)}^{\frac{1}{4}} \log\left(\frac{\sqrt{2} {\left(\sqrt{3} x + 2 \, x\right)} {\left(-11502 \, \sqrt{3} + 19926\right)}^{\frac{1}{4}} + 6 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \sqrt{2} {\left(-11502 \, \sqrt{3} + 19926\right)}^{\frac{1}{4}} \log\left(-\frac{\sqrt{2} {\left(\sqrt{3} x + 2 \, x\right)} {\left(-11502 \, \sqrt{3} + 19926\right)}^{\frac{1}{4}} - 6 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{4} \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(4 \, x + 11\right)} + \frac{177}{8} \, \arctan\left(\frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{177}{16} \, \log\left(\frac{x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{177}{16} \, \log\left(-\frac{x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-6*sqrt(2)*sqrt(sqrt(2)*sqrt(71*sqrt(3) + 123))*arctan(-1/12*sqrt(2)*(sqrt(2)*(x^4 - x^3)^(1/4)*sqrt(71*sqrt(3) + 123)*(19*sqrt(3) - 33) - (19*sqrt(3)*x - 33*x)*sqrt(71*sqrt(3) + 123)*sqrt(-(sqrt(2)*(4*sqrt(3)*x^2 - 7*x^2)*sqrt(71*sqrt(3) + 123) - 2*sqrt(x^4 - x^3))/x^2))*sqrt(sqrt(2)*sqrt(71*sqrt(3) + 123))/x) + 3/2*sqrt(2)*sqrt(sqrt(2)*sqrt(71*sqrt(3) + 123))*log(3*(sqrt(2)*(sqrt(3)*x - 2*x)*sqrt(sqrt(2)*sqrt(71*sqrt(3) + 123)) + 2*(x^4 - x^3)^(1/4))/x) - 3/2*sqrt(2)*sqrt(sqrt(2)*sqrt(71*sqrt(3) + 123))*log(-3*(sqrt(2)*(sqrt(3)*x - 2*x)*sqrt(sqrt(2)*sqrt(71*sqrt(3) + 123)) - 2*(x^4 - x^3)^(1/4))/x) + 2*sqrt(2)*(-11502*sqrt(3) + 19926)^(1/4)*arctan(-1/972*(3*sqrt(2)*(x^4 - x^3)^(1/4)*(19*sqrt(3) + 33)*(-11502*sqrt(3) + 19926)^(3/4) - (19*sqrt(3)*x + 33*x)*(-11502*sqrt(3) + 19926)^(3/4)*sqrt(((4*sqrt(3)*x^2 + 7*x^2)*sqrt(-11502*sqrt(3) + 19926) + 18*sqrt(x^4 - x^3))/x^2))/x) - 1/2*sqrt(2)*(-11502*sqrt(3) + 19926)^(1/4)*log((sqrt(2)*(sqrt(3)*x + 2*x)*(-11502*sqrt(3) + 19926)^(1/4) + 6*(x^4 - x^3)^(1/4))/x) + 1/2*sqrt(2)*(-11502*sqrt(3) + 19926)^(1/4)*log(-(sqrt(2)*(sqrt(3)*x + 2*x)*(-11502*sqrt(3) + 19926)^(1/4) - 6*(x^4 - x^3)^(1/4))/x) + 1/4*(x^4 - x^3)^(1/4)*(4*x + 11) + 177/8*arctan((x^4 - x^3)^(1/4)/x) + 177/16*log((x + (x^4 - x^3)^(1/4))/x) - 177/16*log(-(x - (x^4 - x^3)^(1/4))/x)","B",0
2159,1,75,0,0.582819," ","integrate((-2*x^4-3*x^2+1)^(1/2)*(2*x^4+1)/(2*x^4+x^2-1)/(2*x^4+2*x^2-1),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{2 \, \sqrt{2} \sqrt{-2 \, x^{4} - 3 \, x^{2} + 1} x}{2 \, x^{4} + 5 \, x^{2} - 1}\right) + \frac{1}{2} \, \arctan\left(\frac{2 \, \sqrt{-2 \, x^{4} - 3 \, x^{2} + 1} x}{2 \, x^{4} + 4 \, x^{2} - 1}\right)"," ",0,"-1/2*sqrt(2)*arctan(2*sqrt(2)*sqrt(-2*x^4 - 3*x^2 + 1)*x/(2*x^4 + 5*x^2 - 1)) + 1/2*arctan(2*sqrt(-2*x^4 - 3*x^2 + 1)*x/(2*x^4 + 4*x^2 - 1))","A",0
2160,-1,0,0,0.000000," ","integrate((a*x^4+b*x^2)^(1/4)*(2*a*x^4-b)/(a*x^4-2*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2161,-1,0,0,0.000000," ","integrate((a*x^4+b*x^2)^(1/4)*(2*a*x^4-b)/(a*x^4-2*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2162,1,330,0,0.479747," ","integrate(x*(-4*a+3*x)/(x^2*(-a+x))^(1/3)/(d*x^4+a-x),x, algorithm=""fricas"")","\left[\frac{\sqrt{3} d \sqrt{-\frac{1}{d^{\frac{2}{3}}}} \log\left(-\frac{d x^{4} - 3 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d^{\frac{2}{3}} x^{2} - \sqrt{3} {\left(d^{\frac{4}{3}} x^{4} + {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d x^{2} - 2 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d^{\frac{2}{3}}\right)} \sqrt{-\frac{1}{d^{\frac{2}{3}}}} - 2 \, a + 2 \, x}{d x^{4} + a - x}\right) + 2 \, d^{\frac{2}{3}} \log\left(\frac{d^{\frac{1}{3}} x^{2} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}}}{x^{2}}\right) - d^{\frac{2}{3}} \log\left(\frac{d^{\frac{2}{3}} x^{4} + {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d^{\frac{1}{3}} x^{2} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}}}{x^{4}}\right)}{2 \, d}, \frac{2 \, \sqrt{3} d^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(d^{\frac{1}{3}} x^{2} + 2 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}}\right)}}{3 \, d^{\frac{1}{3}} x^{2}}\right) + 2 \, d^{\frac{2}{3}} \log\left(\frac{d^{\frac{1}{3}} x^{2} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}}}{x^{2}}\right) - d^{\frac{2}{3}} \log\left(\frac{d^{\frac{2}{3}} x^{4} + {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d^{\frac{1}{3}} x^{2} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}}}{x^{4}}\right)}{2 \, d}\right]"," ",0,"[1/2*(sqrt(3)*d*sqrt(-1/d^(2/3))*log(-(d*x^4 - 3*(-a*x^2 + x^3)^(1/3)*d^(2/3)*x^2 - sqrt(3)*(d^(4/3)*x^4 + (-a*x^2 + x^3)^(1/3)*d*x^2 - 2*(-a*x^2 + x^3)^(2/3)*d^(2/3))*sqrt(-1/d^(2/3)) - 2*a + 2*x)/(d*x^4 + a - x)) + 2*d^(2/3)*log((d^(1/3)*x^2 - (-a*x^2 + x^3)^(1/3))/x^2) - d^(2/3)*log((d^(2/3)*x^4 + (-a*x^2 + x^3)^(1/3)*d^(1/3)*x^2 + (-a*x^2 + x^3)^(2/3))/x^4))/d, 1/2*(2*sqrt(3)*d^(2/3)*arctan(1/3*sqrt(3)*(d^(1/3)*x^2 + 2*(-a*x^2 + x^3)^(1/3))/(d^(1/3)*x^2)) + 2*d^(2/3)*log((d^(1/3)*x^2 - (-a*x^2 + x^3)^(1/3))/x^2) - d^(2/3)*log((d^(2/3)*x^4 + (-a*x^2 + x^3)^(1/3)*d^(1/3)*x^2 + (-a*x^2 + x^3)^(2/3))/x^4))/d]","A",0
2163,1,5071,0,1.325691," ","integrate((2*x^8-2*a*x^4-b)/(a*x^4-b)^(1/4)/(x^8-a*x^4-b),x, algorithm=""fricas"")","-\sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \arctan\left(-\frac{{\left(\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{7} + 15 \, a^{5} b + 24 \, a^{3} b^{2} - 16 \, a b^{3}\right)} x \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} + {\left(a^{6} + 5 \, a^{4} b + 3 \, a^{2} b^{2} - 4 \, b^{3}\right)} x\right)} \sqrt{\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{14} b^{4} + 23 \, a^{12} b^{5} + 80 \, a^{10} b^{6} + 36 \, a^{8} b^{7} - 209 \, a^{6} b^{8} - 76 \, a^{4} b^{9} + 208 \, a^{2} b^{10} - 64 \, b^{11}\right)} x^{2} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} + {\left(a^{13} b^{4} + 7 \, a^{11} b^{5} + 13 \, a^{9} b^{6} + a^{7} b^{7} - 13 \, a^{5} b^{8} - 3 \, a^{3} b^{9} + 4 \, a b^{10}\right)} x^{2}\right)} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}} + 2 \, {\left(a^{8} b^{6} + 2 \, a^{6} b^{7} - a^{4} b^{8} - 2 \, a^{2} b^{9} + b^{10}\right)} \sqrt{a x^{4} - b}}{x^{2}}} + {\left(a^{10} b^{3} + 6 \, a^{8} b^{4} + 7 \, a^{6} b^{5} - 6 \, a^{4} b^{6} - 7 \, a^{2} b^{7} + 4 \, b^{8} + {\left(2 \, a^{11} b^{3} + 17 \, a^{9} b^{4} + 37 \, a^{7} b^{5} - 7 \, a^{5} b^{6} - 40 \, a^{3} b^{7} + 16 \, a b^{8}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}}}{2 \, {\left(a^{8} b^{4} + 2 \, a^{6} b^{5} - a^{4} b^{6} - 2 \, a^{2} b^{7} + b^{8}\right)} x}\right) + \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \arctan\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{7} + 15 \, a^{5} b + 24 \, a^{3} b^{2} - 16 \, a b^{3}\right)} x \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} - {\left(a^{6} + 5 \, a^{4} b + 3 \, a^{2} b^{2} - 4 \, b^{3}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \sqrt{-\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{14} b^{4} + 23 \, a^{12} b^{5} + 80 \, a^{10} b^{6} + 36 \, a^{8} b^{7} - 209 \, a^{6} b^{8} - 76 \, a^{4} b^{9} + 208 \, a^{2} b^{10} - 64 \, b^{11}\right)} x^{2} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} - {\left(a^{13} b^{4} + 7 \, a^{11} b^{5} + 13 \, a^{9} b^{6} + a^{7} b^{7} - 13 \, a^{5} b^{8} - 3 \, a^{3} b^{9} + 4 \, a b^{10}\right)} x^{2}\right)} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}} - 2 \, {\left(a^{8} b^{6} + 2 \, a^{6} b^{7} - a^{4} b^{8} - 2 \, a^{2} b^{9} + b^{10}\right)} \sqrt{a x^{4} - b}}{x^{2}}} - {\left(a^{10} b^{3} + 6 \, a^{8} b^{4} + 7 \, a^{6} b^{5} - 6 \, a^{4} b^{6} - 7 \, a^{2} b^{7} + 4 \, b^{8} - {\left(2 \, a^{11} b^{3} + 17 \, a^{9} b^{4} + 37 \, a^{7} b^{5} - 7 \, a^{5} b^{6} - 40 \, a^{3} b^{7} + 16 \, a b^{8}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}}}{2 \, {\left(a^{8} b^{4} + 2 \, a^{6} b^{5} - a^{4} b^{6} - 2 \, a^{2} b^{7} + b^{8}\right)} x}\right) + \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \log\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{12} + 27 \, a^{10} b + 126 \, a^{8} b^{2} + 202 \, a^{6} b^{3} - 72 \, a^{4} b^{4} - 288 \, a^{2} b^{5} + 128 \, b^{6}\right)} x \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} - {\left(a^{11} + 9 \, a^{9} b + 23 \, a^{7} b^{2} + 8 \, a^{5} b^{3} - 16 \, a^{3} b^{4}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}} + 2 \, {\left(a^{4} b^{3} + a^{2} b^{4} - b^{5}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{2 \, x}\right) - \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \log\left(\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{12} + 27 \, a^{10} b + 126 \, a^{8} b^{2} + 202 \, a^{6} b^{3} - 72 \, a^{4} b^{4} - 288 \, a^{2} b^{5} + 128 \, b^{6}\right)} x \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} - {\left(a^{11} + 9 \, a^{9} b + 23 \, a^{7} b^{2} + 8 \, a^{5} b^{3} - 16 \, a^{3} b^{4}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}} - 2 \, {\left(a^{4} b^{3} + a^{2} b^{4} - b^{5}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{2 \, x}\right) - \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \log\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{12} + 27 \, a^{10} b + 126 \, a^{8} b^{2} + 202 \, a^{6} b^{3} - 72 \, a^{4} b^{4} - 288 \, a^{2} b^{5} + 128 \, b^{6}\right)} x \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} + {\left(a^{11} + 9 \, a^{9} b + 23 \, a^{7} b^{2} + 8 \, a^{5} b^{3} - 16 \, a^{3} b^{4}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}} + 2 \, {\left(a^{4} b^{3} + a^{2} b^{4} - b^{5}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{2 \, x}\right) + \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \log\left(\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{12} + 27 \, a^{10} b + 126 \, a^{8} b^{2} + 202 \, a^{6} b^{3} - 72 \, a^{4} b^{4} - 288 \, a^{2} b^{5} + 128 \, b^{6}\right)} x \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} + {\left(a^{11} + 9 \, a^{9} b + 23 \, a^{7} b^{2} + 8 \, a^{5} b^{3} - 16 \, a^{3} b^{4}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}} - 2 \, {\left(a^{4} b^{3} + a^{2} b^{4} - b^{5}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{2 \, x}\right) + \frac{2 \, \arctan\left(\frac{\frac{x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} - b}}{x^{2}}}}{a^{\frac{1}{4}}} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}}{x}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}}"," ",0,"-sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*arctan(-1/2*(sqrt(1/2)*((2*a^7 + 15*a^5*b + 24*a^3*b^2 - 16*a*b^3)*x*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) + (a^6 + 5*a^4*b + 3*a^2*b^2 - 4*b^3)*x)*sqrt((sqrt(1/2)*((2*a^14*b^4 + 23*a^12*b^5 + 80*a^10*b^6 + 36*a^8*b^7 - 209*a^6*b^8 - 76*a^4*b^9 + 208*a^2*b^10 - 64*b^11)*x^2*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) + (a^13*b^4 + 7*a^11*b^5 + 13*a^9*b^6 + a^7*b^7 - 13*a^5*b^8 - 3*a^3*b^9 + 4*a*b^10)*x^2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)) + 2*(a^8*b^6 + 2*a^6*b^7 - a^4*b^8 - 2*a^2*b^9 + b^10)*sqrt(a*x^4 - b))/x^2) + (a^10*b^3 + 6*a^8*b^4 + 7*a^6*b^5 - 6*a^4*b^6 - 7*a^2*b^7 + 4*b^8 + (2*a^11*b^3 + 17*a^9*b^4 + 37*a^7*b^5 - 7*a^5*b^6 - 40*a^3*b^7 + 16*a*b^8)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))*(a*x^4 - b)^(1/4))*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))/((a^8*b^4 + 2*a^6*b^5 - a^4*b^6 - 2*a^2*b^7 + b^8)*x)) + sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*arctan(-1/2*(sqrt(1/2)*((2*a^7 + 15*a^5*b + 24*a^3*b^2 - 16*a*b^3)*x*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) - (a^6 + 5*a^4*b + 3*a^2*b^2 - 4*b^3)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*sqrt(-(sqrt(1/2)*((2*a^14*b^4 + 23*a^12*b^5 + 80*a^10*b^6 + 36*a^8*b^7 - 209*a^6*b^8 - 76*a^4*b^9 + 208*a^2*b^10 - 64*b^11)*x^2*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) - (a^13*b^4 + 7*a^11*b^5 + 13*a^9*b^6 + a^7*b^7 - 13*a^5*b^8 - 3*a^3*b^9 + 4*a*b^10)*x^2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)) - 2*(a^8*b^6 + 2*a^6*b^7 - a^4*b^8 - 2*a^2*b^9 + b^10)*sqrt(a*x^4 - b))/x^2) - (a^10*b^3 + 6*a^8*b^4 + 7*a^6*b^5 - 6*a^4*b^6 - 7*a^2*b^7 + 4*b^8 - (2*a^11*b^3 + 17*a^9*b^4 + 37*a^7*b^5 - 7*a^5*b^6 - 40*a^3*b^7 + 16*a*b^8)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))*(a*x^4 - b)^(1/4)*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3))))/((a^8*b^4 + 2*a^6*b^5 - a^4*b^6 - 2*a^2*b^7 + b^8)*x)) + 1/4*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*log(-1/2*(sqrt(1/2)*((2*a^12 + 27*a^10*b + 126*a^8*b^2 + 202*a^6*b^3 - 72*a^4*b^4 - 288*a^2*b^5 + 128*b^6)*x*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) - (a^11 + 9*a^9*b + 23*a^7*b^2 + 8*a^5*b^3 - 16*a^3*b^4)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)) + 2*(a^4*b^3 + a^2*b^4 - b^5)*(a*x^4 - b)^(1/4))/x) - 1/4*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*log(1/2*(sqrt(1/2)*((2*a^12 + 27*a^10*b + 126*a^8*b^2 + 202*a^6*b^3 - 72*a^4*b^4 - 288*a^2*b^5 + 128*b^6)*x*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) - (a^11 + 9*a^9*b + 23*a^7*b^2 + 8*a^5*b^3 - 16*a^3*b^4)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)) - 2*(a^4*b^3 + a^2*b^4 - b^5)*(a*x^4 - b)^(1/4))/x) - 1/4*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*log(-1/2*(sqrt(1/2)*((2*a^12 + 27*a^10*b + 126*a^8*b^2 + 202*a^6*b^3 - 72*a^4*b^4 - 288*a^2*b^5 + 128*b^6)*x*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) + (a^11 + 9*a^9*b + 23*a^7*b^2 + 8*a^5*b^3 - 16*a^3*b^4)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)) + 2*(a^4*b^3 + a^2*b^4 - b^5)*(a*x^4 - b)^(1/4))/x) + 1/4*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*log(1/2*(sqrt(1/2)*((2*a^12 + 27*a^10*b + 126*a^8*b^2 + 202*a^6*b^3 - 72*a^4*b^4 - 288*a^2*b^5 + 128*b^6)*x*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) + (a^11 + 9*a^9*b + 23*a^7*b^2 + 8*a^5*b^3 - 16*a^3*b^4)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)) - 2*(a^4*b^3 + a^2*b^4 - b^5)*(a*x^4 - b)^(1/4))/x) + 2*arctan((x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 - b))/x^2)/a^(1/4) - (a*x^4 - b)^(1/4)/a^(1/4))/x)/a^(1/4) + 1/2*log((a^(1/4)*x + (a*x^4 - b)^(1/4))/x)/a^(1/4) - 1/2*log(-(a^(1/4)*x - (a*x^4 - b)^(1/4))/x)/a^(1/4)","B",0
2164,1,5071,0,1.287231," ","integrate((2*x^8-2*a*x^4-b)/(a*x^4-b)^(1/4)/(x^8-a*x^4-b),x, algorithm=""fricas"")","-\sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \arctan\left(-\frac{{\left(\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{7} + 15 \, a^{5} b + 24 \, a^{3} b^{2} - 16 \, a b^{3}\right)} x \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} + {\left(a^{6} + 5 \, a^{4} b + 3 \, a^{2} b^{2} - 4 \, b^{3}\right)} x\right)} \sqrt{\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{14} b^{4} + 23 \, a^{12} b^{5} + 80 \, a^{10} b^{6} + 36 \, a^{8} b^{7} - 209 \, a^{6} b^{8} - 76 \, a^{4} b^{9} + 208 \, a^{2} b^{10} - 64 \, b^{11}\right)} x^{2} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} + {\left(a^{13} b^{4} + 7 \, a^{11} b^{5} + 13 \, a^{9} b^{6} + a^{7} b^{7} - 13 \, a^{5} b^{8} - 3 \, a^{3} b^{9} + 4 \, a b^{10}\right)} x^{2}\right)} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}} + 2 \, {\left(a^{8} b^{6} + 2 \, a^{6} b^{7} - a^{4} b^{8} - 2 \, a^{2} b^{9} + b^{10}\right)} \sqrt{a x^{4} - b}}{x^{2}}} + {\left(a^{10} b^{3} + 6 \, a^{8} b^{4} + 7 \, a^{6} b^{5} - 6 \, a^{4} b^{6} - 7 \, a^{2} b^{7} + 4 \, b^{8} + {\left(2 \, a^{11} b^{3} + 17 \, a^{9} b^{4} + 37 \, a^{7} b^{5} - 7 \, a^{5} b^{6} - 40 \, a^{3} b^{7} + 16 \, a b^{8}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}}}{2 \, {\left(a^{8} b^{4} + 2 \, a^{6} b^{5} - a^{4} b^{6} - 2 \, a^{2} b^{7} + b^{8}\right)} x}\right) + \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \arctan\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{7} + 15 \, a^{5} b + 24 \, a^{3} b^{2} - 16 \, a b^{3}\right)} x \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} - {\left(a^{6} + 5 \, a^{4} b + 3 \, a^{2} b^{2} - 4 \, b^{3}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \sqrt{-\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{14} b^{4} + 23 \, a^{12} b^{5} + 80 \, a^{10} b^{6} + 36 \, a^{8} b^{7} - 209 \, a^{6} b^{8} - 76 \, a^{4} b^{9} + 208 \, a^{2} b^{10} - 64 \, b^{11}\right)} x^{2} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} - {\left(a^{13} b^{4} + 7 \, a^{11} b^{5} + 13 \, a^{9} b^{6} + a^{7} b^{7} - 13 \, a^{5} b^{8} - 3 \, a^{3} b^{9} + 4 \, a b^{10}\right)} x^{2}\right)} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}} - 2 \, {\left(a^{8} b^{6} + 2 \, a^{6} b^{7} - a^{4} b^{8} - 2 \, a^{2} b^{9} + b^{10}\right)} \sqrt{a x^{4} - b}}{x^{2}}} - {\left(a^{10} b^{3} + 6 \, a^{8} b^{4} + 7 \, a^{6} b^{5} - 6 \, a^{4} b^{6} - 7 \, a^{2} b^{7} + 4 \, b^{8} - {\left(2 \, a^{11} b^{3} + 17 \, a^{9} b^{4} + 37 \, a^{7} b^{5} - 7 \, a^{5} b^{6} - 40 \, a^{3} b^{7} + 16 \, a b^{8}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}}}{2 \, {\left(a^{8} b^{4} + 2 \, a^{6} b^{5} - a^{4} b^{6} - 2 \, a^{2} b^{7} + b^{8}\right)} x}\right) + \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \log\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{12} + 27 \, a^{10} b + 126 \, a^{8} b^{2} + 202 \, a^{6} b^{3} - 72 \, a^{4} b^{4} - 288 \, a^{2} b^{5} + 128 \, b^{6}\right)} x \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} - {\left(a^{11} + 9 \, a^{9} b + 23 \, a^{7} b^{2} + 8 \, a^{5} b^{3} - 16 \, a^{3} b^{4}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}} + 2 \, {\left(a^{4} b^{3} + a^{2} b^{4} - b^{5}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{2 \, x}\right) - \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \log\left(\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{12} + 27 \, a^{10} b + 126 \, a^{8} b^{2} + 202 \, a^{6} b^{3} - 72 \, a^{4} b^{4} - 288 \, a^{2} b^{5} + 128 \, b^{6}\right)} x \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} - {\left(a^{11} + 9 \, a^{9} b + 23 \, a^{7} b^{2} + 8 \, a^{5} b^{3} - 16 \, a^{3} b^{4}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} + {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}} - 2 \, {\left(a^{4} b^{3} + a^{2} b^{4} - b^{5}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{2 \, x}\right) - \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \log\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{12} + 27 \, a^{10} b + 126 \, a^{8} b^{2} + 202 \, a^{6} b^{3} - 72 \, a^{4} b^{4} - 288 \, a^{2} b^{5} + 128 \, b^{6}\right)} x \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} + {\left(a^{11} + 9 \, a^{9} b + 23 \, a^{7} b^{2} + 8 \, a^{5} b^{3} - 16 \, a^{3} b^{4}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}} + 2 \, {\left(a^{4} b^{3} + a^{2} b^{4} - b^{5}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{2 \, x}\right) + \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \log\left(\frac{\sqrt{\frac{1}{2}} {\left({\left(2 \, a^{12} + 27 \, a^{10} b + 126 \, a^{8} b^{2} + 202 \, a^{6} b^{3} - 72 \, a^{4} b^{4} - 288 \, a^{2} b^{5} + 128 \, b^{6}\right)} x \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}} + {\left(a^{11} + 9 \, a^{9} b + 23 \, a^{7} b^{2} + 8 \, a^{5} b^{3} - 16 \, a^{3} b^{4}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}}} \sqrt{\frac{a^{5} + 3 \, a^{3} b - a b^{2} - {\left(2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}\right)} \sqrt{\frac{a^{8} + 2 \, a^{6} b - a^{4} b^{2} - 2 \, a^{2} b^{3} + b^{4}}{4 \, a^{10} + 44 \, a^{8} b + 145 \, a^{6} b^{2} + 76 \, a^{4} b^{3} - 208 \, a^{2} b^{4} + 64 \, b^{5}}}}{2 \, a^{6} + 15 \, a^{4} b + 24 \, a^{2} b^{2} - 16 \, b^{3}}} - 2 \, {\left(a^{4} b^{3} + a^{2} b^{4} - b^{5}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{2 \, x}\right) + \frac{2 \, \arctan\left(\frac{\frac{x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} - b}}{x^{2}}}}{a^{\frac{1}{4}}} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}}{x}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}}"," ",0,"-sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*arctan(-1/2*(sqrt(1/2)*((2*a^7 + 15*a^5*b + 24*a^3*b^2 - 16*a*b^3)*x*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) + (a^6 + 5*a^4*b + 3*a^2*b^2 - 4*b^3)*x)*sqrt((sqrt(1/2)*((2*a^14*b^4 + 23*a^12*b^5 + 80*a^10*b^6 + 36*a^8*b^7 - 209*a^6*b^8 - 76*a^4*b^9 + 208*a^2*b^10 - 64*b^11)*x^2*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) + (a^13*b^4 + 7*a^11*b^5 + 13*a^9*b^6 + a^7*b^7 - 13*a^5*b^8 - 3*a^3*b^9 + 4*a*b^10)*x^2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)) + 2*(a^8*b^6 + 2*a^6*b^7 - a^4*b^8 - 2*a^2*b^9 + b^10)*sqrt(a*x^4 - b))/x^2) + (a^10*b^3 + 6*a^8*b^4 + 7*a^6*b^5 - 6*a^4*b^6 - 7*a^2*b^7 + 4*b^8 + (2*a^11*b^3 + 17*a^9*b^4 + 37*a^7*b^5 - 7*a^5*b^6 - 40*a^3*b^7 + 16*a*b^8)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))*(a*x^4 - b)^(1/4))*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))/((a^8*b^4 + 2*a^6*b^5 - a^4*b^6 - 2*a^2*b^7 + b^8)*x)) + sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*arctan(-1/2*(sqrt(1/2)*((2*a^7 + 15*a^5*b + 24*a^3*b^2 - 16*a*b^3)*x*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) - (a^6 + 5*a^4*b + 3*a^2*b^2 - 4*b^3)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*sqrt(-(sqrt(1/2)*((2*a^14*b^4 + 23*a^12*b^5 + 80*a^10*b^6 + 36*a^8*b^7 - 209*a^6*b^8 - 76*a^4*b^9 + 208*a^2*b^10 - 64*b^11)*x^2*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) - (a^13*b^4 + 7*a^11*b^5 + 13*a^9*b^6 + a^7*b^7 - 13*a^5*b^8 - 3*a^3*b^9 + 4*a*b^10)*x^2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)) - 2*(a^8*b^6 + 2*a^6*b^7 - a^4*b^8 - 2*a^2*b^9 + b^10)*sqrt(a*x^4 - b))/x^2) - (a^10*b^3 + 6*a^8*b^4 + 7*a^6*b^5 - 6*a^4*b^6 - 7*a^2*b^7 + 4*b^8 - (2*a^11*b^3 + 17*a^9*b^4 + 37*a^7*b^5 - 7*a^5*b^6 - 40*a^3*b^7 + 16*a*b^8)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))*(a*x^4 - b)^(1/4)*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3))))/((a^8*b^4 + 2*a^6*b^5 - a^4*b^6 - 2*a^2*b^7 + b^8)*x)) + 1/4*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*log(-1/2*(sqrt(1/2)*((2*a^12 + 27*a^10*b + 126*a^8*b^2 + 202*a^6*b^3 - 72*a^4*b^4 - 288*a^2*b^5 + 128*b^6)*x*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) - (a^11 + 9*a^9*b + 23*a^7*b^2 + 8*a^5*b^3 - 16*a^3*b^4)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)) + 2*(a^4*b^3 + a^2*b^4 - b^5)*(a*x^4 - b)^(1/4))/x) - 1/4*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*log(1/2*(sqrt(1/2)*((2*a^12 + 27*a^10*b + 126*a^8*b^2 + 202*a^6*b^3 - 72*a^4*b^4 - 288*a^2*b^5 + 128*b^6)*x*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) - (a^11 + 9*a^9*b + 23*a^7*b^2 + 8*a^5*b^3 - 16*a^3*b^4)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*sqrt((a^5 + 3*a^3*b - a*b^2 + (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)) - 2*(a^4*b^3 + a^2*b^4 - b^5)*(a*x^4 - b)^(1/4))/x) - 1/4*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*log(-1/2*(sqrt(1/2)*((2*a^12 + 27*a^10*b + 126*a^8*b^2 + 202*a^6*b^3 - 72*a^4*b^4 - 288*a^2*b^5 + 128*b^6)*x*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) + (a^11 + 9*a^9*b + 23*a^7*b^2 + 8*a^5*b^3 - 16*a^3*b^4)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)) + 2*(a^4*b^3 + a^2*b^4 - b^5)*(a*x^4 - b)^(1/4))/x) + 1/4*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*log(1/2*(sqrt(1/2)*((2*a^12 + 27*a^10*b + 126*a^8*b^2 + 202*a^6*b^3 - 72*a^4*b^4 - 288*a^2*b^5 + 128*b^6)*x*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)) + (a^11 + 9*a^9*b + 23*a^7*b^2 + 8*a^5*b^3 - 16*a^3*b^4)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)))*sqrt((a^5 + 3*a^3*b - a*b^2 - (2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)*sqrt((a^8 + 2*a^6*b - a^4*b^2 - 2*a^2*b^3 + b^4)/(4*a^10 + 44*a^8*b + 145*a^6*b^2 + 76*a^4*b^3 - 208*a^2*b^4 + 64*b^5)))/(2*a^6 + 15*a^4*b + 24*a^2*b^2 - 16*b^3)) - 2*(a^4*b^3 + a^2*b^4 - b^5)*(a*x^4 - b)^(1/4))/x) + 2*arctan((x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 - b))/x^2)/a^(1/4) - (a*x^4 - b)^(1/4)/a^(1/4))/x)/a^(1/4) + 1/2*log((a^(1/4)*x + (a*x^4 - b)^(1/4))/x)/a^(1/4) - 1/2*log(-(a^(1/4)*x - (a*x^4 - b)^(1/4))/x)/a^(1/4)","B",0
2165,1,163,0,0.433270," ","integrate(1/(x^2-1)/(x^3-x^2)^(1/3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} 2^{\frac{2}{3}} {\left(x^{2} - x\right)} \arctan\left(\frac{\sqrt{3} 2^{\frac{1}{6}} {\left(2^{\frac{5}{6}} x + 2 \, \sqrt{2} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\right)}}{6 \, x}\right) + 2 \cdot 2^{\frac{2}{3}} {\left(x^{2} - x\right)} \log\left(-\frac{2^{\frac{1}{3}} x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) - 2^{\frac{2}{3}} {\left(x^{2} - x\right)} \log\left(\frac{2^{\frac{2}{3}} x^{2} + 2^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{8 \, {\left(x^{2} - x\right)}}"," ",0,"1/8*(2*sqrt(3)*2^(2/3)*(x^2 - x)*arctan(1/6*sqrt(3)*2^(1/6)*(2^(5/6)*x + 2*sqrt(2)*(x^3 - x^2)^(1/3))/x) + 2*2^(2/3)*(x^2 - x)*log(-(2^(1/3)*x - (x^3 - x^2)^(1/3))/x) - 2^(2/3)*(x^2 - x)*log((2^(2/3)*x^2 + 2^(1/3)*(x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(2/3))/x^2) - 12*(x^3 - x^2)^(2/3))/(x^2 - x)","A",0
2166,1,401,0,0.717274," ","integrate((a^2*x^4-b^2)/(a*x^3-b*x)^(1/2)/(a^2*x^4+c*x^2+b^2),x, algorithm=""fricas"")","\left(-\frac{1}{2 \, a b + c}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{a x^{3} - b x} {\left(2 \, a b + c\right)} \left(-\frac{1}{2 \, a b + c}\right)^{\frac{3}{4}}}{a x^{2} - b}\right) + \frac{1}{4} \, \left(-\frac{1}{2 \, a b + c}\right)^{\frac{1}{4}} \log\left(\frac{a^{2} x^{4} - {\left(4 \, a b + c\right)} x^{2} + b^{2} + 2 \, \sqrt{a x^{3} - b x} {\left({\left(2 \, a b + c\right)} x \left(-\frac{1}{2 \, a b + c}\right)^{\frac{1}{4}} - {\left(2 \, a b^{2} - {\left(2 \, a^{2} b + a c\right)} x^{2} + b c\right)} \left(-\frac{1}{2 \, a b + c}\right)^{\frac{3}{4}}\right)} - 2 \, {\left({\left(2 \, a^{2} b + a c\right)} x^{3} - {\left(2 \, a b^{2} + b c\right)} x\right)} \sqrt{-\frac{1}{2 \, a b + c}}}{a^{2} x^{4} + c x^{2} + b^{2}}\right) - \frac{1}{4} \, \left(-\frac{1}{2 \, a b + c}\right)^{\frac{1}{4}} \log\left(\frac{a^{2} x^{4} - {\left(4 \, a b + c\right)} x^{2} + b^{2} - 2 \, \sqrt{a x^{3} - b x} {\left({\left(2 \, a b + c\right)} x \left(-\frac{1}{2 \, a b + c}\right)^{\frac{1}{4}} - {\left(2 \, a b^{2} - {\left(2 \, a^{2} b + a c\right)} x^{2} + b c\right)} \left(-\frac{1}{2 \, a b + c}\right)^{\frac{3}{4}}\right)} - 2 \, {\left({\left(2 \, a^{2} b + a c\right)} x^{3} - {\left(2 \, a b^{2} + b c\right)} x\right)} \sqrt{-\frac{1}{2 \, a b + c}}}{a^{2} x^{4} + c x^{2} + b^{2}}\right)"," ",0,"(-1/(2*a*b + c))^(1/4)*arctan(sqrt(a*x^3 - b*x)*(2*a*b + c)*(-1/(2*a*b + c))^(3/4)/(a*x^2 - b)) + 1/4*(-1/(2*a*b + c))^(1/4)*log((a^2*x^4 - (4*a*b + c)*x^2 + b^2 + 2*sqrt(a*x^3 - b*x)*((2*a*b + c)*x*(-1/(2*a*b + c))^(1/4) - (2*a*b^2 - (2*a^2*b + a*c)*x^2 + b*c)*(-1/(2*a*b + c))^(3/4)) - 2*((2*a^2*b + a*c)*x^3 - (2*a*b^2 + b*c)*x)*sqrt(-1/(2*a*b + c)))/(a^2*x^4 + c*x^2 + b^2)) - 1/4*(-1/(2*a*b + c))^(1/4)*log((a^2*x^4 - (4*a*b + c)*x^2 + b^2 - 2*sqrt(a*x^3 - b*x)*((2*a*b + c)*x*(-1/(2*a*b + c))^(1/4) - (2*a*b^2 - (2*a^2*b + a*c)*x^2 + b*c)*(-1/(2*a*b + c))^(3/4)) - 2*((2*a^2*b + a*c)*x^3 - (2*a*b^2 + b*c)*x)*sqrt(-1/(2*a*b + c)))/(a^2*x^4 + c*x^2 + b^2))","B",0
2167,-1,0,0,0.000000," ","integrate((2*p*x^3-q)*(p^2*x^6+2*p*q*x^3-2*p*q*x^2+q^2)^(1/2)/x/(b*x^2+a*(p*x^3+q)^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2168,-1,0,0,0.000000," ","integrate((p*x^3-2*q)*(p^2*x^6-2*p*q*x^4+2*p*q*x^3+q^2)^(1/2)/x/(b*x^4+a*(p*x^3+q)^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2169,-1,0,0,0.000000," ","integrate((x^2-(x^2+1)^(1/2))/(x^2+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2170,-1,0,0,0.000000," ","integrate((x^2-(x^2+1)^(1/2))/(x^2+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2171,1,1028,0,127.732978," ","integrate((1+(1-(1+1/x^2)^(1/2))^(1/2))^(1/2)/x,x, algorithm=""fricas"")","\sqrt{\sqrt{2} - 1} \arctan\left(\frac{2 \, \sqrt{2} {\left(4432 \, x^{4} - 132 \, x^{2} + \sqrt{2} {\left(3208 \, x^{4} + 37 \, x^{2}\right)} + {\left(6832 \, x^{4} - 52 \, x^{2} + \sqrt{2} {\left(4824 \, x^{4} - 49 \, x^{2}\right)}\right)} \sqrt{\frac{x^{2} + 1}{x^{2}}}\right)} \sqrt{6301 \, \sqrt{2} - 8849} \sqrt{\sqrt{2} - 1} \sqrt{-\sqrt{\frac{x^{2} + 1}{x^{2}}} + 1} - \sqrt{2} {\left(14496 \, x^{4} + 16124 \, x^{2} + \sqrt{2} {\left(10432 \, x^{4} + 11724 \, x^{2} - 101\right)} + 4 \, {\left(2008 \, x^{4} - 3 \, x^{2} + \sqrt{2} {\left(1408 \, x^{4} - 23 \, x^{2}\right)}\right)} \sqrt{\frac{x^{2} + 1}{x^{2}}} - 150\right)} \sqrt{6301 \, \sqrt{2} - 8849} \sqrt{\sqrt{2} - 1} + 4196 \, {\left({\left(40 \, x^{4} + 5 \, x^{2} + 4 \, \sqrt{2} {\left(6 \, x^{4} - x^{2}\right)} + {\left(40 \, \sqrt{2} x^{4} + 56 \, x^{4} - x^{2}\right)} \sqrt{\frac{x^{2} + 1}{x^{2}}}\right)} \sqrt{\sqrt{2} - 1} \sqrt{-\sqrt{\frac{x^{2} + 1}{x^{2}}} + 1} - {\left(32 \, x^{4} + 18 \, x^{2} + \sqrt{2} {\left(8 \, x^{4} - 13 \, x^{2}\right)} + {\left(32 \, x^{4} - 2 \, x^{2} + \sqrt{2} {\left(24 \, x^{4} + x^{2}\right)}\right)} \sqrt{\frac{x^{2} + 1}{x^{2}}}\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{\sqrt{-\sqrt{\frac{x^{2} + 1}{x^{2}}} + 1} + 1}}{2098 \, {\left(64 \, x^{4} + 112 \, x^{2} - 1\right)}}\right) - \frac{1}{4} \, \sqrt{\sqrt{2} + 1} \log\left(4 \, {\left(101 \, \sqrt{2} x^{2} + 150 \, x^{2} - {\left(101 \, \sqrt{2} x^{2} + 150 \, x^{2}\right)} \sqrt{\frac{x^{2} + 1}{x^{2}}}\right)} \sqrt{\sqrt{2} + 1} \sqrt{-\sqrt{\frac{x^{2} + 1}{x^{2}}} + 1} + 2 \, {\left(404 \, x^{2} + \sqrt{2} {\left(300 \, x^{2} + 49\right)} - 4 \, {\left(75 \, \sqrt{2} x^{2} + 101 \, x^{2}\right)} \sqrt{\frac{x^{2} + 1}{x^{2}}} + 52\right)} \sqrt{\sqrt{2} + 1} - 4 \, {\left(150 \, \sqrt{2} x^{2} + 202 \, x^{2} + {\left(101 \, \sqrt{2} x^{2} + 150 \, x^{2} - {\left(101 \, \sqrt{2} x^{2} + 150 \, x^{2}\right)} \sqrt{\frac{x^{2} + 1}{x^{2}}}\right)} \sqrt{-\sqrt{\frac{x^{2} + 1}{x^{2}}} + 1} - 2 \, {\left(75 \, \sqrt{2} x^{2} + 101 \, x^{2}\right)} \sqrt{\frac{x^{2} + 1}{x^{2}}}\right)} \sqrt{\sqrt{-\sqrt{\frac{x^{2} + 1}{x^{2}}} + 1} + 1}\right) + \frac{1}{4} \, \sqrt{\sqrt{2} + 1} \log\left(-4 \, {\left(101 \, \sqrt{2} x^{2} + 150 \, x^{2} - {\left(101 \, \sqrt{2} x^{2} + 150 \, x^{2}\right)} \sqrt{\frac{x^{2} + 1}{x^{2}}}\right)} \sqrt{\sqrt{2} + 1} \sqrt{-\sqrt{\frac{x^{2} + 1}{x^{2}}} + 1} - 2 \, {\left(404 \, x^{2} + \sqrt{2} {\left(300 \, x^{2} + 49\right)} - 4 \, {\left(75 \, \sqrt{2} x^{2} + 101 \, x^{2}\right)} \sqrt{\frac{x^{2} + 1}{x^{2}}} + 52\right)} \sqrt{\sqrt{2} + 1} - 4 \, {\left(150 \, \sqrt{2} x^{2} + 202 \, x^{2} + {\left(101 \, \sqrt{2} x^{2} + 150 \, x^{2} - {\left(101 \, \sqrt{2} x^{2} + 150 \, x^{2}\right)} \sqrt{\frac{x^{2} + 1}{x^{2}}}\right)} \sqrt{-\sqrt{\frac{x^{2} + 1}{x^{2}}} + 1} - 2 \, {\left(75 \, \sqrt{2} x^{2} + 101 \, x^{2}\right)} \sqrt{\frac{x^{2} + 1}{x^{2}}}\right)} \sqrt{\sqrt{-\sqrt{\frac{x^{2} + 1}{x^{2}}} + 1} + 1}\right) - 4 \, \sqrt{\sqrt{-\sqrt{\frac{x^{2} + 1}{x^{2}}} + 1} + 1} + \log\left(2 \, {\left(x^{2} \sqrt{\frac{x^{2} + 1}{x^{2}}} + x^{2}\right)} \sqrt{\sqrt{-\sqrt{\frac{x^{2} + 1}{x^{2}}} + 1} + 1} \sqrt{-\sqrt{\frac{x^{2} + 1}{x^{2}}} + 1} + 2 \, {\left(x^{2} \sqrt{\frac{x^{2} + 1}{x^{2}}} + x^{2}\right)} \sqrt{-\sqrt{\frac{x^{2} + 1}{x^{2}}} + 1} - 1\right)"," ",0,"sqrt(sqrt(2) - 1)*arctan(1/2098*(2*sqrt(2)*(4432*x^4 - 132*x^2 + sqrt(2)*(3208*x^4 + 37*x^2) + (6832*x^4 - 52*x^2 + sqrt(2)*(4824*x^4 - 49*x^2))*sqrt((x^2 + 1)/x^2))*sqrt(6301*sqrt(2) - 8849)*sqrt(sqrt(2) - 1)*sqrt(-sqrt((x^2 + 1)/x^2) + 1) - sqrt(2)*(14496*x^4 + 16124*x^2 + sqrt(2)*(10432*x^4 + 11724*x^2 - 101) + 4*(2008*x^4 - 3*x^2 + sqrt(2)*(1408*x^4 - 23*x^2))*sqrt((x^2 + 1)/x^2) - 150)*sqrt(6301*sqrt(2) - 8849)*sqrt(sqrt(2) - 1) + 4196*((40*x^4 + 5*x^2 + 4*sqrt(2)*(6*x^4 - x^2) + (40*sqrt(2)*x^4 + 56*x^4 - x^2)*sqrt((x^2 + 1)/x^2))*sqrt(sqrt(2) - 1)*sqrt(-sqrt((x^2 + 1)/x^2) + 1) - (32*x^4 + 18*x^2 + sqrt(2)*(8*x^4 - 13*x^2) + (32*x^4 - 2*x^2 + sqrt(2)*(24*x^4 + x^2))*sqrt((x^2 + 1)/x^2))*sqrt(sqrt(2) - 1))*sqrt(sqrt(-sqrt((x^2 + 1)/x^2) + 1) + 1))/(64*x^4 + 112*x^2 - 1)) - 1/4*sqrt(sqrt(2) + 1)*log(4*(101*sqrt(2)*x^2 + 150*x^2 - (101*sqrt(2)*x^2 + 150*x^2)*sqrt((x^2 + 1)/x^2))*sqrt(sqrt(2) + 1)*sqrt(-sqrt((x^2 + 1)/x^2) + 1) + 2*(404*x^2 + sqrt(2)*(300*x^2 + 49) - 4*(75*sqrt(2)*x^2 + 101*x^2)*sqrt((x^2 + 1)/x^2) + 52)*sqrt(sqrt(2) + 1) - 4*(150*sqrt(2)*x^2 + 202*x^2 + (101*sqrt(2)*x^2 + 150*x^2 - (101*sqrt(2)*x^2 + 150*x^2)*sqrt((x^2 + 1)/x^2))*sqrt(-sqrt((x^2 + 1)/x^2) + 1) - 2*(75*sqrt(2)*x^2 + 101*x^2)*sqrt((x^2 + 1)/x^2))*sqrt(sqrt(-sqrt((x^2 + 1)/x^2) + 1) + 1)) + 1/4*sqrt(sqrt(2) + 1)*log(-4*(101*sqrt(2)*x^2 + 150*x^2 - (101*sqrt(2)*x^2 + 150*x^2)*sqrt((x^2 + 1)/x^2))*sqrt(sqrt(2) + 1)*sqrt(-sqrt((x^2 + 1)/x^2) + 1) - 2*(404*x^2 + sqrt(2)*(300*x^2 + 49) - 4*(75*sqrt(2)*x^2 + 101*x^2)*sqrt((x^2 + 1)/x^2) + 52)*sqrt(sqrt(2) + 1) - 4*(150*sqrt(2)*x^2 + 202*x^2 + (101*sqrt(2)*x^2 + 150*x^2 - (101*sqrt(2)*x^2 + 150*x^2)*sqrt((x^2 + 1)/x^2))*sqrt(-sqrt((x^2 + 1)/x^2) + 1) - 2*(75*sqrt(2)*x^2 + 101*x^2)*sqrt((x^2 + 1)/x^2))*sqrt(sqrt(-sqrt((x^2 + 1)/x^2) + 1) + 1)) - 4*sqrt(sqrt(-sqrt((x^2 + 1)/x^2) + 1) + 1) + log(2*(x^2*sqrt((x^2 + 1)/x^2) + x^2)*sqrt(sqrt(-sqrt((x^2 + 1)/x^2) + 1) + 1)*sqrt(-sqrt((x^2 + 1)/x^2) + 1) + 2*(x^2*sqrt((x^2 + 1)/x^2) + x^2)*sqrt(-sqrt((x^2 + 1)/x^2) + 1) - 1)","B",0
2172,-1,0,0,0.000000," ","integrate((-2*x+(1+k)*x^2)/((1-x)*x*(-k*x+1))^(2/3)/(1-(1+k)*x+(-b+k)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2173,-1,0,0,0.000000," ","integrate((2-(1+k)*x)/((1-x)*x*(-k*x+1))^(1/3)/(1-(1+k)*x),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2174,-1,0,0,0.000000," ","integrate((-2+(1+k)*x)/((1-x)*x*(-k*x+1))^(1/3)/(1-(1+k)*x+(-b+k)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2175,1,438,0,19.121820," ","integrate((2*x^2+3)*(2*x^3+2*x^2+1)^(2/3)/x^3/(x^3-2*x^2-1),x, algorithm=""fricas"")","-\frac{2 \cdot 9^{\frac{1}{3}} \sqrt{3} x^{2} \arctan\left(\frac{2 \cdot 9^{\frac{2}{3}} \sqrt{3} {\left(8 \, x^{7} - 14 \, x^{6} - 4 \, x^{5} - 7 \, x^{4} - 4 \, x^{3} - x\right)} {\left(2 \, x^{3} + 2 \, x^{2} + 1\right)}^{\frac{2}{3}} - 6 \cdot 9^{\frac{1}{3}} \sqrt{3} {\left(55 \, x^{8} + 50 \, x^{7} + 4 \, x^{6} + 25 \, x^{5} + 4 \, x^{4} + x^{2}\right)} {\left(2 \, x^{3} + 2 \, x^{2} + 1\right)}^{\frac{1}{3}} - \sqrt{3} {\left(377 \, x^{9} + 600 \, x^{8} + 204 \, x^{7} + 308 \, x^{6} + 204 \, x^{5} + 12 \, x^{4} + 51 \, x^{3} + 6 \, x^{2} + 1\right)}}{3 \, {\left(487 \, x^{9} + 480 \, x^{8} + 12 \, x^{7} + 232 \, x^{6} + 12 \, x^{5} - 12 \, x^{4} + 3 \, x^{3} - 6 \, x^{2} - 1\right)}}\right) - 2 \cdot 9^{\frac{1}{3}} x^{2} \log\left(\frac{3 \cdot 9^{\frac{2}{3}} {\left(2 \, x^{3} + 2 \, x^{2} + 1\right)}^{\frac{1}{3}} x^{2} - 9 \, {\left(2 \, x^{3} + 2 \, x^{2} + 1\right)}^{\frac{2}{3}} x - 9^{\frac{1}{3}} {\left(x^{3} - 2 \, x^{2} - 1\right)}}{x^{3} - 2 \, x^{2} - 1}\right) + 9^{\frac{1}{3}} x^{2} \log\left(\frac{9 \cdot 9^{\frac{1}{3}} {\left(8 \, x^{4} + 2 \, x^{3} + x\right)} {\left(2 \, x^{3} + 2 \, x^{2} + 1\right)}^{\frac{2}{3}} + 9^{\frac{2}{3}} {\left(55 \, x^{6} + 50 \, x^{5} + 4 \, x^{4} + 25 \, x^{3} + 4 \, x^{2} + 1\right)} + 27 \, {\left(7 \, x^{5} + 4 \, x^{4} + 2 \, x^{2}\right)} {\left(2 \, x^{3} + 2 \, x^{2} + 1\right)}^{\frac{1}{3}}}{x^{6} - 4 \, x^{5} + 4 \, x^{4} - 2 \, x^{3} + 4 \, x^{2} + 1}\right) - 9 \, {\left(2 \, x^{3} + 2 \, x^{2} + 1\right)}^{\frac{2}{3}}}{6 \, x^{2}}"," ",0,"-1/6*(2*9^(1/3)*sqrt(3)*x^2*arctan(1/3*(2*9^(2/3)*sqrt(3)*(8*x^7 - 14*x^6 - 4*x^5 - 7*x^4 - 4*x^3 - x)*(2*x^3 + 2*x^2 + 1)^(2/3) - 6*9^(1/3)*sqrt(3)*(55*x^8 + 50*x^7 + 4*x^6 + 25*x^5 + 4*x^4 + x^2)*(2*x^3 + 2*x^2 + 1)^(1/3) - sqrt(3)*(377*x^9 + 600*x^8 + 204*x^7 + 308*x^6 + 204*x^5 + 12*x^4 + 51*x^3 + 6*x^2 + 1))/(487*x^9 + 480*x^8 + 12*x^7 + 232*x^6 + 12*x^5 - 12*x^4 + 3*x^3 - 6*x^2 - 1)) - 2*9^(1/3)*x^2*log((3*9^(2/3)*(2*x^3 + 2*x^2 + 1)^(1/3)*x^2 - 9*(2*x^3 + 2*x^2 + 1)^(2/3)*x - 9^(1/3)*(x^3 - 2*x^2 - 1))/(x^3 - 2*x^2 - 1)) + 9^(1/3)*x^2*log((9*9^(1/3)*(8*x^4 + 2*x^3 + x)*(2*x^3 + 2*x^2 + 1)^(2/3) + 9^(2/3)*(55*x^6 + 50*x^5 + 4*x^4 + 25*x^3 + 4*x^2 + 1) + 27*(7*x^5 + 4*x^4 + 2*x^2)*(2*x^3 + 2*x^2 + 1)^(1/3))/(x^6 - 4*x^5 + 4*x^4 - 2*x^3 + 4*x^2 + 1)) - 9*(2*x^3 + 2*x^2 + 1)^(2/3))/x^2","B",0
2176,1,1593,0,0.916506," ","integrate((a*x^2+c*x-b)/(a*x^2+b)/(a*x^3-b*x)^(1/2),x, algorithm=""fricas"")","-\frac{1}{8} \, \sqrt{\frac{1}{2}} \sqrt{-\frac{a b \sqrt{-\frac{16 \, a^{2} b^{2} - 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}} + 4 \, c}{a b}} \log\left(-\frac{16 \, a^{2} b^{4} - b^{2} c^{4} + {\left(16 \, a^{4} b^{2} - a^{2} c^{4}\right)} x^{4} - 6 \, {\left(16 \, a^{3} b^{3} - a b c^{4}\right)} x^{2} + 4 \, \sqrt{\frac{1}{2}} {\left(4 \, a^{2} b^{3} c - a b^{2} c^{3} - {\left(4 \, a^{3} b^{2} c - a^{2} b c^{3}\right)} x^{2} - 4 \, {\left(4 \, a^{3} b^{3} - a^{2} b^{2} c^{2}\right)} x + 2 \, {\left(a^{4} b^{3} x^{2} - a^{3} b^{3} c x - a^{3} b^{4}\right)} \sqrt{-\frac{16 \, a^{2} b^{2} - 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}}\right)} \sqrt{a x^{3} - b x} \sqrt{-\frac{a b \sqrt{-\frac{16 \, a^{2} b^{2} - 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}} + 4 \, c}{a b}} + 4 \, {\left({\left(4 \, a^{4} b^{3} + a^{3} b^{2} c^{2}\right)} x^{3} - {\left(4 \, a^{3} b^{4} + a^{2} b^{3} c^{2}\right)} x\right)} \sqrt{-\frac{16 \, a^{2} b^{2} - 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}}}{a^{2} x^{4} + 2 \, a b x^{2} + b^{2}}\right) + \frac{1}{8} \, \sqrt{\frac{1}{2}} \sqrt{-\frac{a b \sqrt{-\frac{16 \, a^{2} b^{2} - 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}} + 4 \, c}{a b}} \log\left(-\frac{16 \, a^{2} b^{4} - b^{2} c^{4} + {\left(16 \, a^{4} b^{2} - a^{2} c^{4}\right)} x^{4} - 6 \, {\left(16 \, a^{3} b^{3} - a b c^{4}\right)} x^{2} - 4 \, \sqrt{\frac{1}{2}} {\left(4 \, a^{2} b^{3} c - a b^{2} c^{3} - {\left(4 \, a^{3} b^{2} c - a^{2} b c^{3}\right)} x^{2} - 4 \, {\left(4 \, a^{3} b^{3} - a^{2} b^{2} c^{2}\right)} x + 2 \, {\left(a^{4} b^{3} x^{2} - a^{3} b^{3} c x - a^{3} b^{4}\right)} \sqrt{-\frac{16 \, a^{2} b^{2} - 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}}\right)} \sqrt{a x^{3} - b x} \sqrt{-\frac{a b \sqrt{-\frac{16 \, a^{2} b^{2} - 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}} + 4 \, c}{a b}} + 4 \, {\left({\left(4 \, a^{4} b^{3} + a^{3} b^{2} c^{2}\right)} x^{3} - {\left(4 \, a^{3} b^{4} + a^{2} b^{3} c^{2}\right)} x\right)} \sqrt{-\frac{16 \, a^{2} b^{2} - 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}}}{a^{2} x^{4} + 2 \, a b x^{2} + b^{2}}\right) - \frac{1}{8} \, \sqrt{\frac{1}{2}} \sqrt{\frac{a b \sqrt{-\frac{16 \, a^{2} b^{2} - 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}} - 4 \, c}{a b}} \log\left(-\frac{16 \, a^{2} b^{4} - b^{2} c^{4} + {\left(16 \, a^{4} b^{2} - a^{2} c^{4}\right)} x^{4} - 6 \, {\left(16 \, a^{3} b^{3} - a b c^{4}\right)} x^{2} + 4 \, \sqrt{\frac{1}{2}} {\left(4 \, a^{2} b^{3} c - a b^{2} c^{3} - {\left(4 \, a^{3} b^{2} c - a^{2} b c^{3}\right)} x^{2} - 4 \, {\left(4 \, a^{3} b^{3} - a^{2} b^{2} c^{2}\right)} x - 2 \, {\left(a^{4} b^{3} x^{2} - a^{3} b^{3} c x - a^{3} b^{4}\right)} \sqrt{-\frac{16 \, a^{2} b^{2} - 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}}\right)} \sqrt{a x^{3} - b x} \sqrt{\frac{a b \sqrt{-\frac{16 \, a^{2} b^{2} - 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}} - 4 \, c}{a b}} - 4 \, {\left({\left(4 \, a^{4} b^{3} + a^{3} b^{2} c^{2}\right)} x^{3} - {\left(4 \, a^{3} b^{4} + a^{2} b^{3} c^{2}\right)} x\right)} \sqrt{-\frac{16 \, a^{2} b^{2} - 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}}}{a^{2} x^{4} + 2 \, a b x^{2} + b^{2}}\right) + \frac{1}{8} \, \sqrt{\frac{1}{2}} \sqrt{\frac{a b \sqrt{-\frac{16 \, a^{2} b^{2} - 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}} - 4 \, c}{a b}} \log\left(-\frac{16 \, a^{2} b^{4} - b^{2} c^{4} + {\left(16 \, a^{4} b^{2} - a^{2} c^{4}\right)} x^{4} - 6 \, {\left(16 \, a^{3} b^{3} - a b c^{4}\right)} x^{2} - 4 \, \sqrt{\frac{1}{2}} {\left(4 \, a^{2} b^{3} c - a b^{2} c^{3} - {\left(4 \, a^{3} b^{2} c - a^{2} b c^{3}\right)} x^{2} - 4 \, {\left(4 \, a^{3} b^{3} - a^{2} b^{2} c^{2}\right)} x - 2 \, {\left(a^{4} b^{3} x^{2} - a^{3} b^{3} c x - a^{3} b^{4}\right)} \sqrt{-\frac{16 \, a^{2} b^{2} - 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}}\right)} \sqrt{a x^{3} - b x} \sqrt{\frac{a b \sqrt{-\frac{16 \, a^{2} b^{2} - 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}} - 4 \, c}{a b}} - 4 \, {\left({\left(4 \, a^{4} b^{3} + a^{3} b^{2} c^{2}\right)} x^{3} - {\left(4 \, a^{3} b^{4} + a^{2} b^{3} c^{2}\right)} x\right)} \sqrt{-\frac{16 \, a^{2} b^{2} - 8 \, a b c^{2} + c^{4}}{a^{3} b^{3}}}}{a^{2} x^{4} + 2 \, a b x^{2} + b^{2}}\right)"," ",0,"-1/8*sqrt(1/2)*sqrt(-(a*b*sqrt(-(16*a^2*b^2 - 8*a*b*c^2 + c^4)/(a^3*b^3)) + 4*c)/(a*b))*log(-(16*a^2*b^4 - b^2*c^4 + (16*a^4*b^2 - a^2*c^4)*x^4 - 6*(16*a^3*b^3 - a*b*c^4)*x^2 + 4*sqrt(1/2)*(4*a^2*b^3*c - a*b^2*c^3 - (4*a^3*b^2*c - a^2*b*c^3)*x^2 - 4*(4*a^3*b^3 - a^2*b^2*c^2)*x + 2*(a^4*b^3*x^2 - a^3*b^3*c*x - a^3*b^4)*sqrt(-(16*a^2*b^2 - 8*a*b*c^2 + c^4)/(a^3*b^3)))*sqrt(a*x^3 - b*x)*sqrt(-(a*b*sqrt(-(16*a^2*b^2 - 8*a*b*c^2 + c^4)/(a^3*b^3)) + 4*c)/(a*b)) + 4*((4*a^4*b^3 + a^3*b^2*c^2)*x^3 - (4*a^3*b^4 + a^2*b^3*c^2)*x)*sqrt(-(16*a^2*b^2 - 8*a*b*c^2 + c^4)/(a^3*b^3)))/(a^2*x^4 + 2*a*b*x^2 + b^2)) + 1/8*sqrt(1/2)*sqrt(-(a*b*sqrt(-(16*a^2*b^2 - 8*a*b*c^2 + c^4)/(a^3*b^3)) + 4*c)/(a*b))*log(-(16*a^2*b^4 - b^2*c^4 + (16*a^4*b^2 - a^2*c^4)*x^4 - 6*(16*a^3*b^3 - a*b*c^4)*x^2 - 4*sqrt(1/2)*(4*a^2*b^3*c - a*b^2*c^3 - (4*a^3*b^2*c - a^2*b*c^3)*x^2 - 4*(4*a^3*b^3 - a^2*b^2*c^2)*x + 2*(a^4*b^3*x^2 - a^3*b^3*c*x - a^3*b^4)*sqrt(-(16*a^2*b^2 - 8*a*b*c^2 + c^4)/(a^3*b^3)))*sqrt(a*x^3 - b*x)*sqrt(-(a*b*sqrt(-(16*a^2*b^2 - 8*a*b*c^2 + c^4)/(a^3*b^3)) + 4*c)/(a*b)) + 4*((4*a^4*b^3 + a^3*b^2*c^2)*x^3 - (4*a^3*b^4 + a^2*b^3*c^2)*x)*sqrt(-(16*a^2*b^2 - 8*a*b*c^2 + c^4)/(a^3*b^3)))/(a^2*x^4 + 2*a*b*x^2 + b^2)) - 1/8*sqrt(1/2)*sqrt((a*b*sqrt(-(16*a^2*b^2 - 8*a*b*c^2 + c^4)/(a^3*b^3)) - 4*c)/(a*b))*log(-(16*a^2*b^4 - b^2*c^4 + (16*a^4*b^2 - a^2*c^4)*x^4 - 6*(16*a^3*b^3 - a*b*c^4)*x^2 + 4*sqrt(1/2)*(4*a^2*b^3*c - a*b^2*c^3 - (4*a^3*b^2*c - a^2*b*c^3)*x^2 - 4*(4*a^3*b^3 - a^2*b^2*c^2)*x - 2*(a^4*b^3*x^2 - a^3*b^3*c*x - a^3*b^4)*sqrt(-(16*a^2*b^2 - 8*a*b*c^2 + c^4)/(a^3*b^3)))*sqrt(a*x^3 - b*x)*sqrt((a*b*sqrt(-(16*a^2*b^2 - 8*a*b*c^2 + c^4)/(a^3*b^3)) - 4*c)/(a*b)) - 4*((4*a^4*b^3 + a^3*b^2*c^2)*x^3 - (4*a^3*b^4 + a^2*b^3*c^2)*x)*sqrt(-(16*a^2*b^2 - 8*a*b*c^2 + c^4)/(a^3*b^3)))/(a^2*x^4 + 2*a*b*x^2 + b^2)) + 1/8*sqrt(1/2)*sqrt((a*b*sqrt(-(16*a^2*b^2 - 8*a*b*c^2 + c^4)/(a^3*b^3)) - 4*c)/(a*b))*log(-(16*a^2*b^4 - b^2*c^4 + (16*a^4*b^2 - a^2*c^4)*x^4 - 6*(16*a^3*b^3 - a*b*c^4)*x^2 - 4*sqrt(1/2)*(4*a^2*b^3*c - a*b^2*c^3 - (4*a^3*b^2*c - a^2*b*c^3)*x^2 - 4*(4*a^3*b^3 - a^2*b^2*c^2)*x - 2*(a^4*b^3*x^2 - a^3*b^3*c*x - a^3*b^4)*sqrt(-(16*a^2*b^2 - 8*a*b*c^2 + c^4)/(a^3*b^3)))*sqrt(a*x^3 - b*x)*sqrt((a*b*sqrt(-(16*a^2*b^2 - 8*a*b*c^2 + c^4)/(a^3*b^3)) - 4*c)/(a*b)) - 4*((4*a^4*b^3 + a^3*b^2*c^2)*x^3 - (4*a^3*b^4 + a^2*b^3*c^2)*x)*sqrt(-(16*a^2*b^2 - 8*a*b*c^2 + c^4)/(a^3*b^3)))/(a^2*x^4 + 2*a*b*x^2 + b^2))","B",0
2177,1,1858,0,46.716137," ","integrate((x^4+2*x^2-2*x-4)/x/(x^2-2)/((x^2+2)/(x^2-2))^(1/4)/(x^5-4*x^4+4*x^3+4*x^2-10*x+8),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \arctan\left(-\frac{x^{12} - 8 \, x^{11} + 24 \, x^{10} - 24 \, x^{9} - 36 \, x^{8} + 128 \, x^{7} - 128 \, x^{6} - 16 \, x^{5} + 164 \, x^{4} - 160 \, x^{3} + 2 \, \sqrt{2} {\left(3 \, x^{9} - 15 \, x^{8} + 18 \, x^{7} + 30 \, x^{6} - 94 \, x^{5} + 58 \, x^{4} + 60 \, x^{3} - 108 \, x^{2} + 64 \, x - 16\right)} \left(\frac{x^{2} + 2}{x^{2} - 2}\right)^{\frac{3}{4}} + 64 \, x^{2} + 2 \, \sqrt{2} {\left(x^{11} - 7 \, x^{10} + 17 \, x^{9} - 7 \, x^{8} - 48 \, x^{7} + 100 \, x^{6} - 58 \, x^{5} - 54 \, x^{4} + 124 \, x^{3} - 116 \, x^{2} + 64 \, x - 16\right)} \left(\frac{x^{2} + 2}{x^{2} - 2}\right)^{\frac{1}{4}} - {\left(2 \, \sqrt{2} {\left(3 \, x^{10} - 18 \, x^{9} + 33 \, x^{8} + 12 \, x^{7} - 124 \, x^{6} + 152 \, x^{5} + 2 \, x^{4} - 168 \, x^{3} + 172 \, x^{2} - 80 \, x + 16\right)} \sqrt{\frac{x^{2} + 2}{x^{2} - 2}} + 16 \, {\left(x^{9} - 5 \, x^{8} + 6 \, x^{7} + 10 \, x^{6} - 31 \, x^{5} + 19 \, x^{4} + 20 \, x^{3} - 36 \, x^{2} + 20 \, x - 4\right)} \left(\frac{x^{2} + 2}{x^{2} - 2}\right)^{\frac{3}{4}} + \sqrt{2} {\left(x^{12} - 8 \, x^{11} + 24 \, x^{10} - 24 \, x^{9} - 30 \, x^{8} + 104 \, x^{7} - 92 \, x^{6} - 40 \, x^{5} + 144 \, x^{4} - 64 \, x^{3} - 88 \, x^{2} + 96 \, x - 32\right)} + 4 \, {\left(x^{11} - 7 \, x^{10} + 17 \, x^{9} - 7 \, x^{8} - 44 \, x^{7} + 88 \, x^{6} - 46 \, x^{5} - 58 \, x^{4} + 108 \, x^{3} - 68 \, x^{2} + 16 \, x\right)} \left(\frac{x^{2} + 2}{x^{2} - 2}\right)^{\frac{1}{4}}\right)} \sqrt{\frac{x^{6} - 4 \, x^{5} + 4 \, x^{4} + 4 \, x^{3} - 2 \, \sqrt{2} {\left(x^{3} - x^{2} - 2 \, x + 2\right)} \left(\frac{x^{2} + 2}{x^{2} - 2}\right)^{\frac{3}{4}} - 10 \, x^{2} - 2 \, \sqrt{2} {\left(x^{5} - 3 \, x^{4} + x^{3} + 5 \, x^{2} - 6 \, x + 2\right)} \left(\frac{x^{2} + 2}{x^{2} - 2}\right)^{\frac{1}{4}} + 4 \, {\left(x^{4} - 2 \, x^{3} - x^{2} + 4 \, x - 2\right)} \sqrt{\frac{x^{2} + 2}{x^{2} - 2}} + 8 \, x}{x^{6} - 4 \, x^{5} + 4 \, x^{4} + 4 \, x^{3} - 10 \, x^{2} + 8 \, x}} + 4 \, {\left(x^{10} - 6 \, x^{9} + 11 \, x^{8} + 4 \, x^{7} - 40 \, x^{6} + 48 \, x^{5} + 2 \, x^{4} - 56 \, x^{3} + 52 \, x^{2} - 16 \, x\right)} \sqrt{\frac{x^{2} + 2}{x^{2} - 2}}}{x^{12} - 8 \, x^{11} + 24 \, x^{10} - 24 \, x^{9} - 52 \, x^{8} + 192 \, x^{7} - 224 \, x^{6} + 48 \, x^{5} + 212 \, x^{4} - 416 \, x^{3} + 448 \, x^{2} - 256 \, x + 64}\right) - \frac{1}{4} \, \sqrt{2} \arctan\left(-\frac{x^{12} - 8 \, x^{11} + 24 \, x^{10} - 24 \, x^{9} - 36 \, x^{8} + 128 \, x^{7} - 128 \, x^{6} - 16 \, x^{5} + 164 \, x^{4} - 160 \, x^{3} - 2 \, \sqrt{2} {\left(3 \, x^{9} - 15 \, x^{8} + 18 \, x^{7} + 30 \, x^{6} - 94 \, x^{5} + 58 \, x^{4} + 60 \, x^{3} - 108 \, x^{2} + 64 \, x - 16\right)} \left(\frac{x^{2} + 2}{x^{2} - 2}\right)^{\frac{3}{4}} + 64 \, x^{2} - 2 \, \sqrt{2} {\left(x^{11} - 7 \, x^{10} + 17 \, x^{9} - 7 \, x^{8} - 48 \, x^{7} + 100 \, x^{6} - 58 \, x^{5} - 54 \, x^{4} + 124 \, x^{3} - 116 \, x^{2} + 64 \, x - 16\right)} \left(\frac{x^{2} + 2}{x^{2} - 2}\right)^{\frac{1}{4}} + {\left(2 \, \sqrt{2} {\left(3 \, x^{10} - 18 \, x^{9} + 33 \, x^{8} + 12 \, x^{7} - 124 \, x^{6} + 152 \, x^{5} + 2 \, x^{4} - 168 \, x^{3} + 172 \, x^{2} - 80 \, x + 16\right)} \sqrt{\frac{x^{2} + 2}{x^{2} - 2}} - 16 \, {\left(x^{9} - 5 \, x^{8} + 6 \, x^{7} + 10 \, x^{6} - 31 \, x^{5} + 19 \, x^{4} + 20 \, x^{3} - 36 \, x^{2} + 20 \, x - 4\right)} \left(\frac{x^{2} + 2}{x^{2} - 2}\right)^{\frac{3}{4}} + \sqrt{2} {\left(x^{12} - 8 \, x^{11} + 24 \, x^{10} - 24 \, x^{9} - 30 \, x^{8} + 104 \, x^{7} - 92 \, x^{6} - 40 \, x^{5} + 144 \, x^{4} - 64 \, x^{3} - 88 \, x^{2} + 96 \, x - 32\right)} - 4 \, {\left(x^{11} - 7 \, x^{10} + 17 \, x^{9} - 7 \, x^{8} - 44 \, x^{7} + 88 \, x^{6} - 46 \, x^{5} - 58 \, x^{4} + 108 \, x^{3} - 68 \, x^{2} + 16 \, x\right)} \left(\frac{x^{2} + 2}{x^{2} - 2}\right)^{\frac{1}{4}}\right)} \sqrt{\frac{x^{6} - 4 \, x^{5} + 4 \, x^{4} + 4 \, x^{3} + 2 \, \sqrt{2} {\left(x^{3} - x^{2} - 2 \, x + 2\right)} \left(\frac{x^{2} + 2}{x^{2} - 2}\right)^{\frac{3}{4}} - 10 \, x^{2} + 2 \, \sqrt{2} {\left(x^{5} - 3 \, x^{4} + x^{3} + 5 \, x^{2} - 6 \, x + 2\right)} \left(\frac{x^{2} + 2}{x^{2} - 2}\right)^{\frac{1}{4}} + 4 \, {\left(x^{4} - 2 \, x^{3} - x^{2} + 4 \, x - 2\right)} \sqrt{\frac{x^{2} + 2}{x^{2} - 2}} + 8 \, x}{x^{6} - 4 \, x^{5} + 4 \, x^{4} + 4 \, x^{3} - 10 \, x^{2} + 8 \, x}} + 4 \, {\left(x^{10} - 6 \, x^{9} + 11 \, x^{8} + 4 \, x^{7} - 40 \, x^{6} + 48 \, x^{5} + 2 \, x^{4} - 56 \, x^{3} + 52 \, x^{2} - 16 \, x\right)} \sqrt{\frac{x^{2} + 2}{x^{2} - 2}}}{x^{12} - 8 \, x^{11} + 24 \, x^{10} - 24 \, x^{9} - 52 \, x^{8} + 192 \, x^{7} - 224 \, x^{6} + 48 \, x^{5} + 212 \, x^{4} - 416 \, x^{3} + 448 \, x^{2} - 256 \, x + 64}\right) + \frac{1}{16} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{6} - 4 \, x^{5} + 4 \, x^{4} + 4 \, x^{3} + 2 \, \sqrt{2} {\left(x^{3} - x^{2} - 2 \, x + 2\right)} \left(\frac{x^{2} + 2}{x^{2} - 2}\right)^{\frac{3}{4}} - 10 \, x^{2} + 2 \, \sqrt{2} {\left(x^{5} - 3 \, x^{4} + x^{3} + 5 \, x^{2} - 6 \, x + 2\right)} \left(\frac{x^{2} + 2}{x^{2} - 2}\right)^{\frac{1}{4}} + 4 \, {\left(x^{4} - 2 \, x^{3} - x^{2} + 4 \, x - 2\right)} \sqrt{\frac{x^{2} + 2}{x^{2} - 2}} + 8 \, x\right)}}{x^{6} - 4 \, x^{5} + 4 \, x^{4} + 4 \, x^{3} - 10 \, x^{2} + 8 \, x}\right) - \frac{1}{16} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{6} - 4 \, x^{5} + 4 \, x^{4} + 4 \, x^{3} - 2 \, \sqrt{2} {\left(x^{3} - x^{2} - 2 \, x + 2\right)} \left(\frac{x^{2} + 2}{x^{2} - 2}\right)^{\frac{3}{4}} - 10 \, x^{2} - 2 \, \sqrt{2} {\left(x^{5} - 3 \, x^{4} + x^{3} + 5 \, x^{2} - 6 \, x + 2\right)} \left(\frac{x^{2} + 2}{x^{2} - 2}\right)^{\frac{1}{4}} + 4 \, {\left(x^{4} - 2 \, x^{3} - x^{2} + 4 \, x - 2\right)} \sqrt{\frac{x^{2} + 2}{x^{2} - 2}} + 8 \, x\right)}}{x^{6} - 4 \, x^{5} + 4 \, x^{4} + 4 \, x^{3} - 10 \, x^{2} + 8 \, x}\right)"," ",0,"1/4*sqrt(2)*arctan(-(x^12 - 8*x^11 + 24*x^10 - 24*x^9 - 36*x^8 + 128*x^7 - 128*x^6 - 16*x^5 + 164*x^4 - 160*x^3 + 2*sqrt(2)*(3*x^9 - 15*x^8 + 18*x^7 + 30*x^6 - 94*x^5 + 58*x^4 + 60*x^3 - 108*x^2 + 64*x - 16)*((x^2 + 2)/(x^2 - 2))^(3/4) + 64*x^2 + 2*sqrt(2)*(x^11 - 7*x^10 + 17*x^9 - 7*x^8 - 48*x^7 + 100*x^6 - 58*x^5 - 54*x^4 + 124*x^3 - 116*x^2 + 64*x - 16)*((x^2 + 2)/(x^2 - 2))^(1/4) - (2*sqrt(2)*(3*x^10 - 18*x^9 + 33*x^8 + 12*x^7 - 124*x^6 + 152*x^5 + 2*x^4 - 168*x^3 + 172*x^2 - 80*x + 16)*sqrt((x^2 + 2)/(x^2 - 2)) + 16*(x^9 - 5*x^8 + 6*x^7 + 10*x^6 - 31*x^5 + 19*x^4 + 20*x^3 - 36*x^2 + 20*x - 4)*((x^2 + 2)/(x^2 - 2))^(3/4) + sqrt(2)*(x^12 - 8*x^11 + 24*x^10 - 24*x^9 - 30*x^8 + 104*x^7 - 92*x^6 - 40*x^5 + 144*x^4 - 64*x^3 - 88*x^2 + 96*x - 32) + 4*(x^11 - 7*x^10 + 17*x^9 - 7*x^8 - 44*x^7 + 88*x^6 - 46*x^5 - 58*x^4 + 108*x^3 - 68*x^2 + 16*x)*((x^2 + 2)/(x^2 - 2))^(1/4))*sqrt((x^6 - 4*x^5 + 4*x^4 + 4*x^3 - 2*sqrt(2)*(x^3 - x^2 - 2*x + 2)*((x^2 + 2)/(x^2 - 2))^(3/4) - 10*x^2 - 2*sqrt(2)*(x^5 - 3*x^4 + x^3 + 5*x^2 - 6*x + 2)*((x^2 + 2)/(x^2 - 2))^(1/4) + 4*(x^4 - 2*x^3 - x^2 + 4*x - 2)*sqrt((x^2 + 2)/(x^2 - 2)) + 8*x)/(x^6 - 4*x^5 + 4*x^4 + 4*x^3 - 10*x^2 + 8*x)) + 4*(x^10 - 6*x^9 + 11*x^8 + 4*x^7 - 40*x^6 + 48*x^5 + 2*x^4 - 56*x^3 + 52*x^2 - 16*x)*sqrt((x^2 + 2)/(x^2 - 2)))/(x^12 - 8*x^11 + 24*x^10 - 24*x^9 - 52*x^8 + 192*x^7 - 224*x^6 + 48*x^5 + 212*x^4 - 416*x^3 + 448*x^2 - 256*x + 64)) - 1/4*sqrt(2)*arctan(-(x^12 - 8*x^11 + 24*x^10 - 24*x^9 - 36*x^8 + 128*x^7 - 128*x^6 - 16*x^5 + 164*x^4 - 160*x^3 - 2*sqrt(2)*(3*x^9 - 15*x^8 + 18*x^7 + 30*x^6 - 94*x^5 + 58*x^4 + 60*x^3 - 108*x^2 + 64*x - 16)*((x^2 + 2)/(x^2 - 2))^(3/4) + 64*x^2 - 2*sqrt(2)*(x^11 - 7*x^10 + 17*x^9 - 7*x^8 - 48*x^7 + 100*x^6 - 58*x^5 - 54*x^4 + 124*x^3 - 116*x^2 + 64*x - 16)*((x^2 + 2)/(x^2 - 2))^(1/4) + (2*sqrt(2)*(3*x^10 - 18*x^9 + 33*x^8 + 12*x^7 - 124*x^6 + 152*x^5 + 2*x^4 - 168*x^3 + 172*x^2 - 80*x + 16)*sqrt((x^2 + 2)/(x^2 - 2)) - 16*(x^9 - 5*x^8 + 6*x^7 + 10*x^6 - 31*x^5 + 19*x^4 + 20*x^3 - 36*x^2 + 20*x - 4)*((x^2 + 2)/(x^2 - 2))^(3/4) + sqrt(2)*(x^12 - 8*x^11 + 24*x^10 - 24*x^9 - 30*x^8 + 104*x^7 - 92*x^6 - 40*x^5 + 144*x^4 - 64*x^3 - 88*x^2 + 96*x - 32) - 4*(x^11 - 7*x^10 + 17*x^9 - 7*x^8 - 44*x^7 + 88*x^6 - 46*x^5 - 58*x^4 + 108*x^3 - 68*x^2 + 16*x)*((x^2 + 2)/(x^2 - 2))^(1/4))*sqrt((x^6 - 4*x^5 + 4*x^4 + 4*x^3 + 2*sqrt(2)*(x^3 - x^2 - 2*x + 2)*((x^2 + 2)/(x^2 - 2))^(3/4) - 10*x^2 + 2*sqrt(2)*(x^5 - 3*x^4 + x^3 + 5*x^2 - 6*x + 2)*((x^2 + 2)/(x^2 - 2))^(1/4) + 4*(x^4 - 2*x^3 - x^2 + 4*x - 2)*sqrt((x^2 + 2)/(x^2 - 2)) + 8*x)/(x^6 - 4*x^5 + 4*x^4 + 4*x^3 - 10*x^2 + 8*x)) + 4*(x^10 - 6*x^9 + 11*x^8 + 4*x^7 - 40*x^6 + 48*x^5 + 2*x^4 - 56*x^3 + 52*x^2 - 16*x)*sqrt((x^2 + 2)/(x^2 - 2)))/(x^12 - 8*x^11 + 24*x^10 - 24*x^9 - 52*x^8 + 192*x^7 - 224*x^6 + 48*x^5 + 212*x^4 - 416*x^3 + 448*x^2 - 256*x + 64)) + 1/16*sqrt(2)*log(4*(x^6 - 4*x^5 + 4*x^4 + 4*x^3 + 2*sqrt(2)*(x^3 - x^2 - 2*x + 2)*((x^2 + 2)/(x^2 - 2))^(3/4) - 10*x^2 + 2*sqrt(2)*(x^5 - 3*x^4 + x^3 + 5*x^2 - 6*x + 2)*((x^2 + 2)/(x^2 - 2))^(1/4) + 4*(x^4 - 2*x^3 - x^2 + 4*x - 2)*sqrt((x^2 + 2)/(x^2 - 2)) + 8*x)/(x^6 - 4*x^5 + 4*x^4 + 4*x^3 - 10*x^2 + 8*x)) - 1/16*sqrt(2)*log(4*(x^6 - 4*x^5 + 4*x^4 + 4*x^3 - 2*sqrt(2)*(x^3 - x^2 - 2*x + 2)*((x^2 + 2)/(x^2 - 2))^(3/4) - 10*x^2 - 2*sqrt(2)*(x^5 - 3*x^4 + x^3 + 5*x^2 - 6*x + 2)*((x^2 + 2)/(x^2 - 2))^(1/4) + 4*(x^4 - 2*x^3 - x^2 + 4*x - 2)*sqrt((x^2 + 2)/(x^2 - 2)) + 8*x)/(x^6 - 4*x^5 + 4*x^4 + 4*x^3 - 10*x^2 + 8*x))","B",0
2178,-1,0,0,0.000000," ","integrate((1+x)^(1/2)*(x^4-1)*(1+(1+x)^(1/2))^(1/2)/(x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2179,-1,0,0,0.000000," ","integrate((1+x)^(1/2)*(x^4-1)*(1+(1+x)^(1/2))^(1/2)/(x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2180,1,352,0,83.840091," ","integrate((c*x-d)/x^4/(a*x^3-b)^(1/3),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{\frac{1}{3}} a b d x^{3} \sqrt{-\frac{1}{b^{\frac{2}{3}}}} \log\left(\frac{2 \, a x^{3} - 3 \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(a x^{3} - b\right)}^{\frac{2}{3}} b^{\frac{2}{3}} + {\left(a x^{3} - b\right)}^{\frac{1}{3}} b - b^{\frac{4}{3}}\right)} \sqrt{-\frac{1}{b^{\frac{2}{3}}}} - 3 \, {\left(a x^{3} - b\right)}^{\frac{1}{3}} b^{\frac{2}{3}} - 3 \, b}{x^{3}}\right) + 2 \, a b^{\frac{2}{3}} d x^{3} \log\left(\frac{{\left(a x^{3} - b\right)}^{\frac{1}{3}} + b^{\frac{1}{3}}}{x}\right) - a b^{\frac{2}{3}} d x^{3} \log\left(\frac{{\left(a x^{3} - b\right)}^{\frac{2}{3}} - {\left(a x^{3} - b\right)}^{\frac{1}{3}} b^{\frac{1}{3}} + b^{\frac{2}{3}}}{x^{2}}\right) + 3 \, {\left(a x^{3} - b\right)}^{\frac{2}{3}} {\left(3 \, b c x - 2 \, b d\right)}}{18 \, b^{2} x^{3}}, -\frac{6 \, \sqrt{\frac{1}{3}} a b^{\frac{2}{3}} d x^{3} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, {\left(a x^{3} - b\right)}^{\frac{1}{3}} - b^{\frac{1}{3}}\right)}}{b^{\frac{1}{3}}}\right) - 2 \, a b^{\frac{2}{3}} d x^{3} \log\left(\frac{{\left(a x^{3} - b\right)}^{\frac{1}{3}} + b^{\frac{1}{3}}}{x}\right) + a b^{\frac{2}{3}} d x^{3} \log\left(\frac{{\left(a x^{3} - b\right)}^{\frac{2}{3}} - {\left(a x^{3} - b\right)}^{\frac{1}{3}} b^{\frac{1}{3}} + b^{\frac{2}{3}}}{x^{2}}\right) - 3 \, {\left(a x^{3} - b\right)}^{\frac{2}{3}} {\left(3 \, b c x - 2 \, b d\right)}}{18 \, b^{2} x^{3}}\right]"," ",0,"[1/18*(3*sqrt(1/3)*a*b*d*x^3*sqrt(-1/b^(2/3))*log((2*a*x^3 - 3*sqrt(1/3)*(2*(a*x^3 - b)^(2/3)*b^(2/3) + (a*x^3 - b)^(1/3)*b - b^(4/3))*sqrt(-1/b^(2/3)) - 3*(a*x^3 - b)^(1/3)*b^(2/3) - 3*b)/x^3) + 2*a*b^(2/3)*d*x^3*log(((a*x^3 - b)^(1/3) + b^(1/3))/x) - a*b^(2/3)*d*x^3*log(((a*x^3 - b)^(2/3) - (a*x^3 - b)^(1/3)*b^(1/3) + b^(2/3))/x^2) + 3*(a*x^3 - b)^(2/3)*(3*b*c*x - 2*b*d))/(b^2*x^3), -1/18*(6*sqrt(1/3)*a*b^(2/3)*d*x^3*arctan(sqrt(1/3)*(2*(a*x^3 - b)^(1/3) - b^(1/3))/b^(1/3)) - 2*a*b^(2/3)*d*x^3*log(((a*x^3 - b)^(1/3) + b^(1/3))/x) + a*b^(2/3)*d*x^3*log(((a*x^3 - b)^(2/3) - (a*x^3 - b)^(1/3)*b^(1/3) + b^(2/3))/x^2) - 3*(a*x^3 - b)^(2/3)*(3*b*c*x - 2*b*d))/(b^2*x^3)]","A",0
2181,1,810,0,0.530941," ","integrate((a*x^4-b*x^3)^(1/4)*(c*x^4-d)/x^2,x, algorithm=""fricas"")","\frac{12 \, a^{3} x \left(\frac{35153041 \, b^{16} c^{4} + 3739918336 \, a^{4} b^{12} c^{3} d + 149208170496 \, a^{8} b^{8} c^{2} d^{2} + 2645699854336 \, a^{12} b^{4} c d^{3} + 17592186044416 \, a^{16} d^{4}}{a^{15}}\right)^{\frac{1}{4}} \arctan\left(\frac{a^{11} x \sqrt{\frac{a^{8} x^{2} \sqrt{\frac{35153041 \, b^{16} c^{4} + 3739918336 \, a^{4} b^{12} c^{3} d + 149208170496 \, a^{8} b^{8} c^{2} d^{2} + 2645699854336 \, a^{12} b^{4} c d^{3} + 17592186044416 \, a^{16} d^{4}}{a^{15}}} + {\left(5929 \, b^{8} c^{2} + 315392 \, a^{4} b^{4} c d + 4194304 \, a^{8} d^{2}\right)} \sqrt{a x^{4} - b x^{3}}}{x^{2}}} \left(\frac{35153041 \, b^{16} c^{4} + 3739918336 \, a^{4} b^{12} c^{3} d + 149208170496 \, a^{8} b^{8} c^{2} d^{2} + 2645699854336 \, a^{12} b^{4} c d^{3} + 17592186044416 \, a^{16} d^{4}}{a^{15}}\right)^{\frac{3}{4}} - {\left(77 \, a^{11} b^{4} c + 2048 \, a^{15} d\right)} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} \left(\frac{35153041 \, b^{16} c^{4} + 3739918336 \, a^{4} b^{12} c^{3} d + 149208170496 \, a^{8} b^{8} c^{2} d^{2} + 2645699854336 \, a^{12} b^{4} c d^{3} + 17592186044416 \, a^{16} d^{4}}{a^{15}}\right)^{\frac{3}{4}}}{{\left(35153041 \, b^{16} c^{4} + 3739918336 \, a^{4} b^{12} c^{3} d + 149208170496 \, a^{8} b^{8} c^{2} d^{2} + 2645699854336 \, a^{12} b^{4} c d^{3} + 17592186044416 \, a^{16} d^{4}\right)} x}\right) - 3 \, a^{3} x \left(\frac{35153041 \, b^{16} c^{4} + 3739918336 \, a^{4} b^{12} c^{3} d + 149208170496 \, a^{8} b^{8} c^{2} d^{2} + 2645699854336 \, a^{12} b^{4} c d^{3} + 17592186044416 \, a^{16} d^{4}}{a^{15}}\right)^{\frac{1}{4}} \log\left(\frac{a^{4} x \left(\frac{35153041 \, b^{16} c^{4} + 3739918336 \, a^{4} b^{12} c^{3} d + 149208170496 \, a^{8} b^{8} c^{2} d^{2} + 2645699854336 \, a^{12} b^{4} c d^{3} + 17592186044416 \, a^{16} d^{4}}{a^{15}}\right)^{\frac{1}{4}} + {\left(77 \, b^{4} c + 2048 \, a^{4} d\right)} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 3 \, a^{3} x \left(\frac{35153041 \, b^{16} c^{4} + 3739918336 \, a^{4} b^{12} c^{3} d + 149208170496 \, a^{8} b^{8} c^{2} d^{2} + 2645699854336 \, a^{12} b^{4} c d^{3} + 17592186044416 \, a^{16} d^{4}}{a^{15}}\right)^{\frac{1}{4}} \log\left(-\frac{a^{4} x \left(\frac{35153041 \, b^{16} c^{4} + 3739918336 \, a^{4} b^{12} c^{3} d + 149208170496 \, a^{8} b^{8} c^{2} d^{2} + 2645699854336 \, a^{12} b^{4} c d^{3} + 17592186044416 \, a^{16} d^{4}}{a^{15}}\right)^{\frac{1}{4}} - {\left(77 \, b^{4} c + 2048 \, a^{4} d\right)} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 4 \, {\left(384 \, a^{3} c x^{4} - 32 \, a^{2} b c x^{3} - 44 \, a b^{2} c x^{2} - 77 \, b^{3} c x + 6144 \, a^{3} d\right)} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{6144 \, a^{3} x}"," ",0,"1/6144*(12*a^3*x*((35153041*b^16*c^4 + 3739918336*a^4*b^12*c^3*d + 149208170496*a^8*b^8*c^2*d^2 + 2645699854336*a^12*b^4*c*d^3 + 17592186044416*a^16*d^4)/a^15)^(1/4)*arctan((a^11*x*sqrt((a^8*x^2*sqrt((35153041*b^16*c^4 + 3739918336*a^4*b^12*c^3*d + 149208170496*a^8*b^8*c^2*d^2 + 2645699854336*a^12*b^4*c*d^3 + 17592186044416*a^16*d^4)/a^15) + (5929*b^8*c^2 + 315392*a^4*b^4*c*d + 4194304*a^8*d^2)*sqrt(a*x^4 - b*x^3))/x^2)*((35153041*b^16*c^4 + 3739918336*a^4*b^12*c^3*d + 149208170496*a^8*b^8*c^2*d^2 + 2645699854336*a^12*b^4*c*d^3 + 17592186044416*a^16*d^4)/a^15)^(3/4) - (77*a^11*b^4*c + 2048*a^15*d)*(a*x^4 - b*x^3)^(1/4)*((35153041*b^16*c^4 + 3739918336*a^4*b^12*c^3*d + 149208170496*a^8*b^8*c^2*d^2 + 2645699854336*a^12*b^4*c*d^3 + 17592186044416*a^16*d^4)/a^15)^(3/4))/((35153041*b^16*c^4 + 3739918336*a^4*b^12*c^3*d + 149208170496*a^8*b^8*c^2*d^2 + 2645699854336*a^12*b^4*c*d^3 + 17592186044416*a^16*d^4)*x)) - 3*a^3*x*((35153041*b^16*c^4 + 3739918336*a^4*b^12*c^3*d + 149208170496*a^8*b^8*c^2*d^2 + 2645699854336*a^12*b^4*c*d^3 + 17592186044416*a^16*d^4)/a^15)^(1/4)*log((a^4*x*((35153041*b^16*c^4 + 3739918336*a^4*b^12*c^3*d + 149208170496*a^8*b^8*c^2*d^2 + 2645699854336*a^12*b^4*c*d^3 + 17592186044416*a^16*d^4)/a^15)^(1/4) + (77*b^4*c + 2048*a^4*d)*(a*x^4 - b*x^3)^(1/4))/x) + 3*a^3*x*((35153041*b^16*c^4 + 3739918336*a^4*b^12*c^3*d + 149208170496*a^8*b^8*c^2*d^2 + 2645699854336*a^12*b^4*c*d^3 + 17592186044416*a^16*d^4)/a^15)^(1/4)*log(-(a^4*x*((35153041*b^16*c^4 + 3739918336*a^4*b^12*c^3*d + 149208170496*a^8*b^8*c^2*d^2 + 2645699854336*a^12*b^4*c*d^3 + 17592186044416*a^16*d^4)/a^15)^(1/4) - (77*b^4*c + 2048*a^4*d)*(a*x^4 - b*x^3)^(1/4))/x) + 4*(384*a^3*c*x^4 - 32*a^2*b*c*x^3 - 44*a*b^2*c*x^2 - 77*b^3*c*x + 6144*a^3*d)*(a*x^4 - b*x^3)^(1/4))/(a^3*x)","B",0
2182,-1,0,0,0.000000," ","integrate(x^3*(5-4*(1+k)*x+3*k*x^2)/((1-x)*x*(-k*x+1))^(2/3)/(-b+b*(1+k)*x-b*k*x^2+x^5),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2183,1,1060,0,91.252767," ","integrate((x^5-8)*(x^5+2)*(x^5-3*x^4+2)^(1/4)/x^6/(2*x^5-3*x^4+4),x, algorithm=""fricas"")","-\frac{60 \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} x^{5} \arctan\left(-\frac{12 \, x^{10} - 36 \, x^{9} + 27 \, x^{8} + 48 \, x^{5} - 72 \, x^{4} + 18 \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} {\left(2 \, x^{8} - 7 \, x^{7} + 4 \, x^{3}\right)} {\left(x^{5} - 3 \, x^{4} + 2\right)}^{\frac{1}{4}} + 12 \, \sqrt{3} \sqrt{2} {\left(2 \, x^{7} - 3 \, x^{6} + 4 \, x^{2}\right)} \sqrt{x^{5} - 3 \, x^{4} + 2} + 12 \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} {\left(2 \, x^{6} - 15 \, x^{5} + 4 \, x\right)} {\left(x^{5} - 3 \, x^{4} + 2\right)}^{\frac{3}{4}} - \sqrt{3} {\left(48 \, \sqrt{3} \sqrt{2} {\left(x^{5} - 3 \, x^{4} + 2\right)}^{\frac{3}{4}} x^{5} + 2 \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} {\left(2 \, x^{7} - 15 \, x^{6} + 4 \, x^{2}\right)} \sqrt{x^{5} - 3 \, x^{4} + 2} + 3^{\frac{1}{4}} 2^{\frac{1}{4}} {\left(4 \, x^{10} - 72 \, x^{9} + 171 \, x^{8} + 16 \, x^{5} - 144 \, x^{4} + 16\right)} + 12 \, {\left(2 \, x^{8} - 3 \, x^{7} + 4 \, x^{3}\right)} {\left(x^{5} - 3 \, x^{4} + 2\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{12 \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} {\left(x^{5} - 3 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} + 4 \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} {\left(x^{5} - 3 \, x^{4} + 2\right)}^{\frac{3}{4}} x + 24 \, \sqrt{x^{5} - 3 \, x^{4} + 2} x^{2} + \sqrt{3} \sqrt{2} {\left(2 \, x^{5} - 3 \, x^{4} + 4\right)}}{2 \, x^{5} - 3 \, x^{4} + 4}} + 48}{3 \, {\left(4 \, x^{10} - 108 \, x^{9} + 297 \, x^{8} + 16 \, x^{5} - 216 \, x^{4} + 16\right)}}\right) - 60 \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} x^{5} \arctan\left(-\frac{12 \, x^{10} - 36 \, x^{9} + 27 \, x^{8} + 48 \, x^{5} - 72 \, x^{4} - 18 \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} {\left(2 \, x^{8} - 7 \, x^{7} + 4 \, x^{3}\right)} {\left(x^{5} - 3 \, x^{4} + 2\right)}^{\frac{1}{4}} + 12 \, \sqrt{3} \sqrt{2} {\left(2 \, x^{7} - 3 \, x^{6} + 4 \, x^{2}\right)} \sqrt{x^{5} - 3 \, x^{4} + 2} - 12 \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} {\left(2 \, x^{6} - 15 \, x^{5} + 4 \, x\right)} {\left(x^{5} - 3 \, x^{4} + 2\right)}^{\frac{3}{4}} - \sqrt{3} {\left(48 \, \sqrt{3} \sqrt{2} {\left(x^{5} - 3 \, x^{4} + 2\right)}^{\frac{3}{4}} x^{5} - 2 \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} {\left(2 \, x^{7} - 15 \, x^{6} + 4 \, x^{2}\right)} \sqrt{x^{5} - 3 \, x^{4} + 2} - 3^{\frac{1}{4}} 2^{\frac{1}{4}} {\left(4 \, x^{10} - 72 \, x^{9} + 171 \, x^{8} + 16 \, x^{5} - 144 \, x^{4} + 16\right)} + 12 \, {\left(2 \, x^{8} - 3 \, x^{7} + 4 \, x^{3}\right)} {\left(x^{5} - 3 \, x^{4} + 2\right)}^{\frac{1}{4}}\right)} \sqrt{-\frac{12 \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} {\left(x^{5} - 3 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} + 4 \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} {\left(x^{5} - 3 \, x^{4} + 2\right)}^{\frac{3}{4}} x - 24 \, \sqrt{x^{5} - 3 \, x^{4} + 2} x^{2} - \sqrt{3} \sqrt{2} {\left(2 \, x^{5} - 3 \, x^{4} + 4\right)}}{2 \, x^{5} - 3 \, x^{4} + 4}} + 48}{3 \, {\left(4 \, x^{10} - 108 \, x^{9} + 297 \, x^{8} + 16 \, x^{5} - 216 \, x^{4} + 16\right)}}\right) + 15 \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} x^{5} \log\left(\frac{3 \, {\left(12 \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} {\left(x^{5} - 3 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} + 4 \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} {\left(x^{5} - 3 \, x^{4} + 2\right)}^{\frac{3}{4}} x + 24 \, \sqrt{x^{5} - 3 \, x^{4} + 2} x^{2} + \sqrt{3} \sqrt{2} {\left(2 \, x^{5} - 3 \, x^{4} + 4\right)}\right)}}{2 \, x^{5} - 3 \, x^{4} + 4}\right) - 15 \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} x^{5} \log\left(-\frac{3 \, {\left(12 \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} {\left(x^{5} - 3 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} + 4 \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} {\left(x^{5} - 3 \, x^{4} + 2\right)}^{\frac{3}{4}} x - 24 \, \sqrt{x^{5} - 3 \, x^{4} + 2} x^{2} - \sqrt{3} \sqrt{2} {\left(2 \, x^{5} - 3 \, x^{4} + 4\right)}\right)}}{2 \, x^{5} - 3 \, x^{4} + 4}\right) - 16 \, {\left(2 \, x^{5} + 9 \, x^{4} + 4\right)} {\left(x^{5} - 3 \, x^{4} + 2\right)}^{\frac{1}{4}}}{80 \, x^{5}}"," ",0,"-1/80*(60*3^(1/4)*2^(1/4)*x^5*arctan(-1/3*(12*x^10 - 36*x^9 + 27*x^8 + 48*x^5 - 72*x^4 + 18*3^(3/4)*2^(3/4)*(2*x^8 - 7*x^7 + 4*x^3)*(x^5 - 3*x^4 + 2)^(1/4) + 12*sqrt(3)*sqrt(2)*(2*x^7 - 3*x^6 + 4*x^2)*sqrt(x^5 - 3*x^4 + 2) + 12*3^(1/4)*2^(1/4)*(2*x^6 - 15*x^5 + 4*x)*(x^5 - 3*x^4 + 2)^(3/4) - sqrt(3)*(48*sqrt(3)*sqrt(2)*(x^5 - 3*x^4 + 2)^(3/4)*x^5 + 2*3^(3/4)*2^(3/4)*(2*x^7 - 15*x^6 + 4*x^2)*sqrt(x^5 - 3*x^4 + 2) + 3^(1/4)*2^(1/4)*(4*x^10 - 72*x^9 + 171*x^8 + 16*x^5 - 144*x^4 + 16) + 12*(2*x^8 - 3*x^7 + 4*x^3)*(x^5 - 3*x^4 + 2)^(1/4))*sqrt((12*3^(1/4)*2^(1/4)*(x^5 - 3*x^4 + 2)^(1/4)*x^3 + 4*3^(3/4)*2^(3/4)*(x^5 - 3*x^4 + 2)^(3/4)*x + 24*sqrt(x^5 - 3*x^4 + 2)*x^2 + sqrt(3)*sqrt(2)*(2*x^5 - 3*x^4 + 4))/(2*x^5 - 3*x^4 + 4)) + 48)/(4*x^10 - 108*x^9 + 297*x^8 + 16*x^5 - 216*x^4 + 16)) - 60*3^(1/4)*2^(1/4)*x^5*arctan(-1/3*(12*x^10 - 36*x^9 + 27*x^8 + 48*x^5 - 72*x^4 - 18*3^(3/4)*2^(3/4)*(2*x^8 - 7*x^7 + 4*x^3)*(x^5 - 3*x^4 + 2)^(1/4) + 12*sqrt(3)*sqrt(2)*(2*x^7 - 3*x^6 + 4*x^2)*sqrt(x^5 - 3*x^4 + 2) - 12*3^(1/4)*2^(1/4)*(2*x^6 - 15*x^5 + 4*x)*(x^5 - 3*x^4 + 2)^(3/4) - sqrt(3)*(48*sqrt(3)*sqrt(2)*(x^5 - 3*x^4 + 2)^(3/4)*x^5 - 2*3^(3/4)*2^(3/4)*(2*x^7 - 15*x^6 + 4*x^2)*sqrt(x^5 - 3*x^4 + 2) - 3^(1/4)*2^(1/4)*(4*x^10 - 72*x^9 + 171*x^8 + 16*x^5 - 144*x^4 + 16) + 12*(2*x^8 - 3*x^7 + 4*x^3)*(x^5 - 3*x^4 + 2)^(1/4))*sqrt(-(12*3^(1/4)*2^(1/4)*(x^5 - 3*x^4 + 2)^(1/4)*x^3 + 4*3^(3/4)*2^(3/4)*(x^5 - 3*x^4 + 2)^(3/4)*x - 24*sqrt(x^5 - 3*x^4 + 2)*x^2 - sqrt(3)*sqrt(2)*(2*x^5 - 3*x^4 + 4))/(2*x^5 - 3*x^4 + 4)) + 48)/(4*x^10 - 108*x^9 + 297*x^8 + 16*x^5 - 216*x^4 + 16)) + 15*3^(1/4)*2^(1/4)*x^5*log(3*(12*3^(1/4)*2^(1/4)*(x^5 - 3*x^4 + 2)^(1/4)*x^3 + 4*3^(3/4)*2^(3/4)*(x^5 - 3*x^4 + 2)^(3/4)*x + 24*sqrt(x^5 - 3*x^4 + 2)*x^2 + sqrt(3)*sqrt(2)*(2*x^5 - 3*x^4 + 4))/(2*x^5 - 3*x^4 + 4)) - 15*3^(1/4)*2^(1/4)*x^5*log(-3*(12*3^(1/4)*2^(1/4)*(x^5 - 3*x^4 + 2)^(1/4)*x^3 + 4*3^(3/4)*2^(3/4)*(x^5 - 3*x^4 + 2)^(3/4)*x - 24*sqrt(x^5 - 3*x^4 + 2)*x^2 - sqrt(3)*sqrt(2)*(2*x^5 - 3*x^4 + 4))/(2*x^5 - 3*x^4 + 4)) - 16*(2*x^5 + 9*x^4 + 4)*(x^5 - 3*x^4 + 2)^(1/4))/x^5","B",0
2184,1,712,0,14.223998," ","integrate(x^2/(x^4-1)/(x^6+x^2)^(1/4),x, algorithm=""fricas"")","\frac{1}{8} \cdot 2^{\frac{3}{4}} \arctan\left(\frac{2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)}}{2 \, {\left(x^{5} + x\right)}}\right) - \frac{1}{32} \cdot 2^{\frac{3}{4}} \log\left(\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \, \sqrt{x^{6} + x^{2}} x}{x^{5} - 2 \, x^{3} + x}\right) + \frac{1}{32} \cdot 2^{\frac{3}{4}} \log\left(-\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \, \sqrt{x^{6} + x^{2}} x}{x^{5} - 2 \, x^{3} + x}\right) + \frac{1}{8} \cdot 2^{\frac{1}{4}} \arctan\left(\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \, \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)} \sqrt{\frac{x^{5} + 2 \, x^{3} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x}{x^{5} + 2 \, x^{3} + x}} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) + \frac{1}{8} \cdot 2^{\frac{1}{4}} \arctan\left(\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \, \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)} \sqrt{\frac{x^{5} + 2 \, x^{3} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x - 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x}{x^{5} + 2 \, x^{3} + x}} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) + \frac{1}{32} \cdot 2^{\frac{1}{4}} \log\left(\frac{2 \, {\left(x^{5} + 2 \, x^{3} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x\right)}}{x^{5} + 2 \, x^{3} + x}\right) - \frac{1}{32} \cdot 2^{\frac{1}{4}} \log\left(\frac{2 \, {\left(x^{5} + 2 \, x^{3} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x - 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x\right)}}{x^{5} + 2 \, x^{3} + x}\right)"," ",0,"1/8*2^(3/4)*arctan(1/2*2^(3/4)*(x^6 + x^2)^(1/4)*(x^4 + 1)/(x^5 + x)) - 1/32*2^(3/4)*log((4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 2*2^(3/4)*(x^6 + x^2)^(3/4) + sqrt(2)*(x^5 + 2*x^3 + x) + 4*sqrt(x^6 + x^2)*x)/(x^5 - 2*x^3 + x)) + 1/32*2^(3/4)*log(-(4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 2*2^(3/4)*(x^6 + x^2)^(3/4) - sqrt(2)*(x^5 + 2*x^3 + x) - 4*sqrt(x^6 + x^2)*x)/(x^5 - 2*x^3 + x)) + 1/8*2^(1/4)*arctan(1/2*(4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(2*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 4*sqrt(x^6 + x^2)*x + 2*2^(1/4)*(x^6 + x^2)^(3/4))*sqrt((x^5 + 2*x^3 + 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x + 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) + 2*2^(3/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 1/8*2^(1/4)*arctan(1/2*(4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(2*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 4*sqrt(x^6 + x^2)*x + 2*2^(1/4)*(x^6 + x^2)^(3/4))*sqrt((x^5 + 2*x^3 - 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x - 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) + 2*2^(3/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 1/32*2^(1/4)*log(2*(x^5 + 2*x^3 + 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x + 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) - 1/32*2^(1/4)*log(2*(x^5 + 2*x^3 - 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x - 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x))","B",0
2185,1,712,0,13.995399," ","integrate(x^2/(x^4-1)/(x^6+x^2)^(1/4),x, algorithm=""fricas"")","\frac{1}{8} \cdot 2^{\frac{3}{4}} \arctan\left(\frac{2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)}}{2 \, {\left(x^{5} + x\right)}}\right) - \frac{1}{32} \cdot 2^{\frac{3}{4}} \log\left(\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \, \sqrt{x^{6} + x^{2}} x}{x^{5} - 2 \, x^{3} + x}\right) + \frac{1}{32} \cdot 2^{\frac{3}{4}} \log\left(-\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \, \sqrt{x^{6} + x^{2}} x}{x^{5} - 2 \, x^{3} + x}\right) + \frac{1}{8} \cdot 2^{\frac{1}{4}} \arctan\left(\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \, \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)} \sqrt{\frac{x^{5} + 2 \, x^{3} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x}{x^{5} + 2 \, x^{3} + x}} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) + \frac{1}{8} \cdot 2^{\frac{1}{4}} \arctan\left(\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \, \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)} \sqrt{\frac{x^{5} + 2 \, x^{3} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x - 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x}{x^{5} + 2 \, x^{3} + x}} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) + \frac{1}{32} \cdot 2^{\frac{1}{4}} \log\left(\frac{2 \, {\left(x^{5} + 2 \, x^{3} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x\right)}}{x^{5} + 2 \, x^{3} + x}\right) - \frac{1}{32} \cdot 2^{\frac{1}{4}} \log\left(\frac{2 \, {\left(x^{5} + 2 \, x^{3} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x - 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x\right)}}{x^{5} + 2 \, x^{3} + x}\right)"," ",0,"1/8*2^(3/4)*arctan(1/2*2^(3/4)*(x^6 + x^2)^(1/4)*(x^4 + 1)/(x^5 + x)) - 1/32*2^(3/4)*log((4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 2*2^(3/4)*(x^6 + x^2)^(3/4) + sqrt(2)*(x^5 + 2*x^3 + x) + 4*sqrt(x^6 + x^2)*x)/(x^5 - 2*x^3 + x)) + 1/32*2^(3/4)*log(-(4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 2*2^(3/4)*(x^6 + x^2)^(3/4) - sqrt(2)*(x^5 + 2*x^3 + x) - 4*sqrt(x^6 + x^2)*x)/(x^5 - 2*x^3 + x)) + 1/8*2^(1/4)*arctan(1/2*(4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(2*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 4*sqrt(x^6 + x^2)*x + 2*2^(1/4)*(x^6 + x^2)^(3/4))*sqrt((x^5 + 2*x^3 + 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x + 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) + 2*2^(3/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 1/8*2^(1/4)*arctan(1/2*(4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(2*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 4*sqrt(x^6 + x^2)*x + 2*2^(1/4)*(x^6 + x^2)^(3/4))*sqrt((x^5 + 2*x^3 - 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x - 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) + 2*2^(3/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 1/32*2^(1/4)*log(2*(x^5 + 2*x^3 + 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x + 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) - 1/32*2^(1/4)*log(2*(x^5 + 2*x^3 - 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x - 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x))","B",0
2186,1,1002,0,52.408431," ","integrate((x^4+1)/(x^4-1)/(x^6+x^2)^(1/4),x, algorithm=""fricas"")","-\frac{1}{4} \cdot 2^{\frac{3}{4}} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{6} + x^{2}} x + 2^{\frac{1}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) - \frac{1}{16} \cdot 2^{\frac{3}{4}} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} x + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) + \frac{1}{16} \cdot 2^{\frac{3}{4}} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} x + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) + \frac{1}{4} \cdot 2^{\frac{1}{4}} \arctan\left(-\frac{2 \, x^{9} + 8 \, x^{7} + 12 \, x^{5} + 8 \, x^{3} + 4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 6 \, x^{2} + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} + 2 \, x^{3} + x\right)} - \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{9} - 16 \, x^{7} - 2 \, x^{5} - 16 \, x^{3} + x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 6 \, x^{3} + x\right)} + 8 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} + 2 \, x^{3} + x}} + 8 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{6} - 2 \, x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 2 \, x}{2 \, {\left(x^{9} - 28 \, x^{7} + 6 \, x^{5} - 28 \, x^{3} + x\right)}}\right) - \frac{1}{4} \cdot 2^{\frac{1}{4}} \arctan\left(-\frac{2 \, x^{9} + 8 \, x^{7} + 12 \, x^{5} + 8 \, x^{3} - 4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 6 \, x^{2} + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} + 2 \, x^{3} + x\right)} - \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{9} - 16 \, x^{7} - 2 \, x^{5} - 16 \, x^{3} + x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 6 \, x^{3} + x\right)} + 8 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} + 2 \, x^{3} + x}} - 8 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{6} - 2 \, x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 2 \, x}{2 \, {\left(x^{9} - 28 \, x^{7} + 6 \, x^{5} - 28 \, x^{3} + x\right)}}\right) - \frac{1}{16} \cdot 2^{\frac{1}{4}} \log\left(\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x^{5} + 2 \, x^{3} + x}\right) + \frac{1}{16} \cdot 2^{\frac{1}{4}} \log\left(-\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x^{5} + 2 \, x^{3} + x}\right)"," ",0,"-1/4*2^(3/4)*arctan(1/2*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + 2^(3/4)*(2*2^(3/4)*sqrt(x^6 + x^2)*x + 2^(1/4)*(x^5 + 2*x^3 + x)) + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) - 1/16*2^(3/4)*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 2^(3/4)*(x^5 + 2*x^3 + x) + 4*2^(1/4)*sqrt(x^6 + x^2)*x + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 1/16*2^(3/4)*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 - 2^(3/4)*(x^5 + 2*x^3 + x) - 4*2^(1/4)*sqrt(x^6 + x^2)*x + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 1/4*2^(1/4)*arctan(-1/2*(2*x^9 + 8*x^7 + 12*x^5 + 8*x^3 + 4*2^(3/4)*(x^6 + x^2)^(3/4)*(x^4 - 6*x^2 + 1) + 8*sqrt(2)*sqrt(x^6 + x^2)*(x^5 + 2*x^3 + x) - sqrt(2)*(32*sqrt(2)*(x^6 + x^2)^(3/4)*x^2 + 2^(3/4)*(x^9 - 16*x^7 - 2*x^5 - 16*x^3 + x) + 4*2^(1/4)*sqrt(x^6 + x^2)*(x^5 - 6*x^3 + x) + 8*(x^6 + 2*x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt((4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) + 8*2^(1/4)*(3*x^6 - 2*x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 2*x)/(x^9 - 28*x^7 + 6*x^5 - 28*x^3 + x)) - 1/4*2^(1/4)*arctan(-1/2*(2*x^9 + 8*x^7 + 12*x^5 + 8*x^3 - 4*2^(3/4)*(x^6 + x^2)^(3/4)*(x^4 - 6*x^2 + 1) + 8*sqrt(2)*sqrt(x^6 + x^2)*(x^5 + 2*x^3 + x) - sqrt(2)*(32*sqrt(2)*(x^6 + x^2)^(3/4)*x^2 - 2^(3/4)*(x^9 - 16*x^7 - 2*x^5 - 16*x^3 + x) - 4*2^(1/4)*sqrt(x^6 + x^2)*(x^5 - 6*x^3 + x) + 8*(x^6 + 2*x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt(-(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) - 8*2^(1/4)*(3*x^6 - 2*x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 2*x)/(x^9 - 28*x^7 + 6*x^5 - 28*x^3 + x)) - 1/16*2^(1/4)*log(8*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) + 1/16*2^(1/4)*log(-8*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x))","B",0
2187,1,1002,0,52.495434," ","integrate((x^4+1)/(x^4-1)/(x^6+x^2)^(1/4),x, algorithm=""fricas"")","-\frac{1}{4} \cdot 2^{\frac{3}{4}} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{6} + x^{2}} x + 2^{\frac{1}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) - \frac{1}{16} \cdot 2^{\frac{3}{4}} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} x + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) + \frac{1}{16} \cdot 2^{\frac{3}{4}} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} x + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) + \frac{1}{4} \cdot 2^{\frac{1}{4}} \arctan\left(-\frac{2 \, x^{9} + 8 \, x^{7} + 12 \, x^{5} + 8 \, x^{3} + 4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 6 \, x^{2} + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} + 2 \, x^{3} + x\right)} - \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{9} - 16 \, x^{7} - 2 \, x^{5} - 16 \, x^{3} + x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 6 \, x^{3} + x\right)} + 8 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} + 2 \, x^{3} + x}} + 8 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{6} - 2 \, x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 2 \, x}{2 \, {\left(x^{9} - 28 \, x^{7} + 6 \, x^{5} - 28 \, x^{3} + x\right)}}\right) - \frac{1}{4} \cdot 2^{\frac{1}{4}} \arctan\left(-\frac{2 \, x^{9} + 8 \, x^{7} + 12 \, x^{5} + 8 \, x^{3} - 4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 6 \, x^{2} + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} + 2 \, x^{3} + x\right)} - \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{9} - 16 \, x^{7} - 2 \, x^{5} - 16 \, x^{3} + x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 6 \, x^{3} + x\right)} + 8 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} + 2 \, x^{3} + x}} - 8 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{6} - 2 \, x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 2 \, x}{2 \, {\left(x^{9} - 28 \, x^{7} + 6 \, x^{5} - 28 \, x^{3} + x\right)}}\right) - \frac{1}{16} \cdot 2^{\frac{1}{4}} \log\left(\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x^{5} + 2 \, x^{3} + x}\right) + \frac{1}{16} \cdot 2^{\frac{1}{4}} \log\left(-\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x^{5} + 2 \, x^{3} + x}\right)"," ",0,"-1/4*2^(3/4)*arctan(1/2*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + 2^(3/4)*(2*2^(3/4)*sqrt(x^6 + x^2)*x + 2^(1/4)*(x^5 + 2*x^3 + x)) + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) - 1/16*2^(3/4)*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 2^(3/4)*(x^5 + 2*x^3 + x) + 4*2^(1/4)*sqrt(x^6 + x^2)*x + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 1/16*2^(3/4)*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 - 2^(3/4)*(x^5 + 2*x^3 + x) - 4*2^(1/4)*sqrt(x^6 + x^2)*x + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 1/4*2^(1/4)*arctan(-1/2*(2*x^9 + 8*x^7 + 12*x^5 + 8*x^3 + 4*2^(3/4)*(x^6 + x^2)^(3/4)*(x^4 - 6*x^2 + 1) + 8*sqrt(2)*sqrt(x^6 + x^2)*(x^5 + 2*x^3 + x) - sqrt(2)*(32*sqrt(2)*(x^6 + x^2)^(3/4)*x^2 + 2^(3/4)*(x^9 - 16*x^7 - 2*x^5 - 16*x^3 + x) + 4*2^(1/4)*sqrt(x^6 + x^2)*(x^5 - 6*x^3 + x) + 8*(x^6 + 2*x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt((4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) + 8*2^(1/4)*(3*x^6 - 2*x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 2*x)/(x^9 - 28*x^7 + 6*x^5 - 28*x^3 + x)) - 1/4*2^(1/4)*arctan(-1/2*(2*x^9 + 8*x^7 + 12*x^5 + 8*x^3 - 4*2^(3/4)*(x^6 + x^2)^(3/4)*(x^4 - 6*x^2 + 1) + 8*sqrt(2)*sqrt(x^6 + x^2)*(x^5 + 2*x^3 + x) - sqrt(2)*(32*sqrt(2)*(x^6 + x^2)^(3/4)*x^2 - 2^(3/4)*(x^9 - 16*x^7 - 2*x^5 - 16*x^3 + x) - 4*2^(1/4)*sqrt(x^6 + x^2)*(x^5 - 6*x^3 + x) + 8*(x^6 + 2*x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt(-(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) - 8*2^(1/4)*(3*x^6 - 2*x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 2*x)/(x^9 - 28*x^7 + 6*x^5 - 28*x^3 + x)) - 1/16*2^(1/4)*log(8*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) + 1/16*2^(1/4)*log(-8*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x))","B",0
2188,1,1002,0,102.138442," ","integrate((x^4-x^2+1)/(x^4-1)/(x^6+x^2)^(1/4),x, algorithm=""fricas"")","-\frac{1}{8} \cdot 2^{\frac{3}{4}} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{6} + x^{2}} x + 2^{\frac{1}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) - \frac{1}{32} \cdot 2^{\frac{3}{4}} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} x + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) + \frac{1}{32} \cdot 2^{\frac{3}{4}} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} x + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) + \frac{3}{8} \cdot 2^{\frac{1}{4}} \arctan\left(-\frac{2 \, x^{9} + 8 \, x^{7} + 12 \, x^{5} + 8 \, x^{3} + 4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 6 \, x^{2} + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} + 2 \, x^{3} + x\right)} - \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{9} - 16 \, x^{7} - 2 \, x^{5} - 16 \, x^{3} + x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 6 \, x^{3} + x\right)} + 8 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} + 2 \, x^{3} + x}} + 8 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{6} - 2 \, x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 2 \, x}{2 \, {\left(x^{9} - 28 \, x^{7} + 6 \, x^{5} - 28 \, x^{3} + x\right)}}\right) - \frac{3}{8} \cdot 2^{\frac{1}{4}} \arctan\left(-\frac{2 \, x^{9} + 8 \, x^{7} + 12 \, x^{5} + 8 \, x^{3} - 4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 6 \, x^{2} + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} + 2 \, x^{3} + x\right)} - \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{9} - 16 \, x^{7} - 2 \, x^{5} - 16 \, x^{3} + x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 6 \, x^{3} + x\right)} + 8 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} + 2 \, x^{3} + x}} - 8 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{6} - 2 \, x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 2 \, x}{2 \, {\left(x^{9} - 28 \, x^{7} + 6 \, x^{5} - 28 \, x^{3} + x\right)}}\right) - \frac{3}{32} \cdot 2^{\frac{1}{4}} \log\left(\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x^{5} + 2 \, x^{3} + x}\right) + \frac{3}{32} \cdot 2^{\frac{1}{4}} \log\left(-\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x^{5} + 2 \, x^{3} + x}\right)"," ",0,"-1/8*2^(3/4)*arctan(1/2*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + 2^(3/4)*(2*2^(3/4)*sqrt(x^6 + x^2)*x + 2^(1/4)*(x^5 + 2*x^3 + x)) + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) - 1/32*2^(3/4)*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 2^(3/4)*(x^5 + 2*x^3 + x) + 4*2^(1/4)*sqrt(x^6 + x^2)*x + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 1/32*2^(3/4)*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 - 2^(3/4)*(x^5 + 2*x^3 + x) - 4*2^(1/4)*sqrt(x^6 + x^2)*x + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 3/8*2^(1/4)*arctan(-1/2*(2*x^9 + 8*x^7 + 12*x^5 + 8*x^3 + 4*2^(3/4)*(x^6 + x^2)^(3/4)*(x^4 - 6*x^2 + 1) + 8*sqrt(2)*sqrt(x^6 + x^2)*(x^5 + 2*x^3 + x) - sqrt(2)*(32*sqrt(2)*(x^6 + x^2)^(3/4)*x^2 + 2^(3/4)*(x^9 - 16*x^7 - 2*x^5 - 16*x^3 + x) + 4*2^(1/4)*sqrt(x^6 + x^2)*(x^5 - 6*x^3 + x) + 8*(x^6 + 2*x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt((4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) + 8*2^(1/4)*(3*x^6 - 2*x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 2*x)/(x^9 - 28*x^7 + 6*x^5 - 28*x^3 + x)) - 3/8*2^(1/4)*arctan(-1/2*(2*x^9 + 8*x^7 + 12*x^5 + 8*x^3 - 4*2^(3/4)*(x^6 + x^2)^(3/4)*(x^4 - 6*x^2 + 1) + 8*sqrt(2)*sqrt(x^6 + x^2)*(x^5 + 2*x^3 + x) - sqrt(2)*(32*sqrt(2)*(x^6 + x^2)^(3/4)*x^2 - 2^(3/4)*(x^9 - 16*x^7 - 2*x^5 - 16*x^3 + x) - 4*2^(1/4)*sqrt(x^6 + x^2)*(x^5 - 6*x^3 + x) + 8*(x^6 + 2*x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt(-(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) - 8*2^(1/4)*(3*x^6 - 2*x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 2*x)/(x^9 - 28*x^7 + 6*x^5 - 28*x^3 + x)) - 3/32*2^(1/4)*log(8*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) + 3/32*2^(1/4)*log(-8*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x))","B",0
2189,1,1002,0,103.852671," ","integrate((x^4-x^2+1)/(x^4-1)/(x^6+x^2)^(1/4),x, algorithm=""fricas"")","-\frac{1}{8} \cdot 2^{\frac{3}{4}} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{6} + x^{2}} x + 2^{\frac{1}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) - \frac{1}{32} \cdot 2^{\frac{3}{4}} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} x + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) + \frac{1}{32} \cdot 2^{\frac{3}{4}} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} x + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) + \frac{3}{8} \cdot 2^{\frac{1}{4}} \arctan\left(-\frac{2 \, x^{9} + 8 \, x^{7} + 12 \, x^{5} + 8 \, x^{3} + 4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 6 \, x^{2} + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} + 2 \, x^{3} + x\right)} - \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{9} - 16 \, x^{7} - 2 \, x^{5} - 16 \, x^{3} + x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 6 \, x^{3} + x\right)} + 8 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} + 2 \, x^{3} + x}} + 8 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{6} - 2 \, x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 2 \, x}{2 \, {\left(x^{9} - 28 \, x^{7} + 6 \, x^{5} - 28 \, x^{3} + x\right)}}\right) - \frac{3}{8} \cdot 2^{\frac{1}{4}} \arctan\left(-\frac{2 \, x^{9} + 8 \, x^{7} + 12 \, x^{5} + 8 \, x^{3} - 4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 6 \, x^{2} + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} + 2 \, x^{3} + x\right)} - \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{9} - 16 \, x^{7} - 2 \, x^{5} - 16 \, x^{3} + x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 6 \, x^{3} + x\right)} + 8 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} + 2 \, x^{3} + x}} - 8 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{6} - 2 \, x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 2 \, x}{2 \, {\left(x^{9} - 28 \, x^{7} + 6 \, x^{5} - 28 \, x^{3} + x\right)}}\right) - \frac{3}{32} \cdot 2^{\frac{1}{4}} \log\left(\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x^{5} + 2 \, x^{3} + x}\right) + \frac{3}{32} \cdot 2^{\frac{1}{4}} \log\left(-\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x^{5} + 2 \, x^{3} + x}\right)"," ",0,"-1/8*2^(3/4)*arctan(1/2*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + 2^(3/4)*(2*2^(3/4)*sqrt(x^6 + x^2)*x + 2^(1/4)*(x^5 + 2*x^3 + x)) + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) - 1/32*2^(3/4)*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 2^(3/4)*(x^5 + 2*x^3 + x) + 4*2^(1/4)*sqrt(x^6 + x^2)*x + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 1/32*2^(3/4)*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 - 2^(3/4)*(x^5 + 2*x^3 + x) - 4*2^(1/4)*sqrt(x^6 + x^2)*x + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 3/8*2^(1/4)*arctan(-1/2*(2*x^9 + 8*x^7 + 12*x^5 + 8*x^3 + 4*2^(3/4)*(x^6 + x^2)^(3/4)*(x^4 - 6*x^2 + 1) + 8*sqrt(2)*sqrt(x^6 + x^2)*(x^5 + 2*x^3 + x) - sqrt(2)*(32*sqrt(2)*(x^6 + x^2)^(3/4)*x^2 + 2^(3/4)*(x^9 - 16*x^7 - 2*x^5 - 16*x^3 + x) + 4*2^(1/4)*sqrt(x^6 + x^2)*(x^5 - 6*x^3 + x) + 8*(x^6 + 2*x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt((4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) + 8*2^(1/4)*(3*x^6 - 2*x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 2*x)/(x^9 - 28*x^7 + 6*x^5 - 28*x^3 + x)) - 3/8*2^(1/4)*arctan(-1/2*(2*x^9 + 8*x^7 + 12*x^5 + 8*x^3 - 4*2^(3/4)*(x^6 + x^2)^(3/4)*(x^4 - 6*x^2 + 1) + 8*sqrt(2)*sqrt(x^6 + x^2)*(x^5 + 2*x^3 + x) - sqrt(2)*(32*sqrt(2)*(x^6 + x^2)^(3/4)*x^2 - 2^(3/4)*(x^9 - 16*x^7 - 2*x^5 - 16*x^3 + x) - 4*2^(1/4)*sqrt(x^6 + x^2)*(x^5 - 6*x^3 + x) + 8*(x^6 + 2*x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt(-(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) - 8*2^(1/4)*(3*x^6 - 2*x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 2*x)/(x^9 - 28*x^7 + 6*x^5 - 28*x^3 + x)) - 3/32*2^(1/4)*log(8*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) + 3/32*2^(1/4)*log(-8*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x))","B",0
2190,1,1002,0,101.188649," ","integrate((x^4+x^2+1)/(x^4-1)/(x^6+x^2)^(1/4),x, algorithm=""fricas"")","-\frac{3}{8} \cdot 2^{\frac{3}{4}} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{6} + x^{2}} x + 2^{\frac{1}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) - \frac{3}{32} \cdot 2^{\frac{3}{4}} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} x + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) + \frac{3}{32} \cdot 2^{\frac{3}{4}} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} x + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) + \frac{1}{8} \cdot 2^{\frac{1}{4}} \arctan\left(-\frac{2 \, x^{9} + 8 \, x^{7} + 12 \, x^{5} + 8 \, x^{3} + 4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 6 \, x^{2} + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} + 2 \, x^{3} + x\right)} - \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{9} - 16 \, x^{7} - 2 \, x^{5} - 16 \, x^{3} + x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 6 \, x^{3} + x\right)} + 8 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} + 2 \, x^{3} + x}} + 8 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{6} - 2 \, x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 2 \, x}{2 \, {\left(x^{9} - 28 \, x^{7} + 6 \, x^{5} - 28 \, x^{3} + x\right)}}\right) - \frac{1}{8} \cdot 2^{\frac{1}{4}} \arctan\left(-\frac{2 \, x^{9} + 8 \, x^{7} + 12 \, x^{5} + 8 \, x^{3} - 4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 6 \, x^{2} + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} + 2 \, x^{3} + x\right)} - \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{9} - 16 \, x^{7} - 2 \, x^{5} - 16 \, x^{3} + x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 6 \, x^{3} + x\right)} + 8 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} + 2 \, x^{3} + x}} - 8 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{6} - 2 \, x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 2 \, x}{2 \, {\left(x^{9} - 28 \, x^{7} + 6 \, x^{5} - 28 \, x^{3} + x\right)}}\right) - \frac{1}{32} \cdot 2^{\frac{1}{4}} \log\left(\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x^{5} + 2 \, x^{3} + x}\right) + \frac{1}{32} \cdot 2^{\frac{1}{4}} \log\left(-\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x^{5} + 2 \, x^{3} + x}\right)"," ",0,"-3/8*2^(3/4)*arctan(1/2*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + 2^(3/4)*(2*2^(3/4)*sqrt(x^6 + x^2)*x + 2^(1/4)*(x^5 + 2*x^3 + x)) + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) - 3/32*2^(3/4)*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 2^(3/4)*(x^5 + 2*x^3 + x) + 4*2^(1/4)*sqrt(x^6 + x^2)*x + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 3/32*2^(3/4)*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 - 2^(3/4)*(x^5 + 2*x^3 + x) - 4*2^(1/4)*sqrt(x^6 + x^2)*x + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 1/8*2^(1/4)*arctan(-1/2*(2*x^9 + 8*x^7 + 12*x^5 + 8*x^3 + 4*2^(3/4)*(x^6 + x^2)^(3/4)*(x^4 - 6*x^2 + 1) + 8*sqrt(2)*sqrt(x^6 + x^2)*(x^5 + 2*x^3 + x) - sqrt(2)*(32*sqrt(2)*(x^6 + x^2)^(3/4)*x^2 + 2^(3/4)*(x^9 - 16*x^7 - 2*x^5 - 16*x^3 + x) + 4*2^(1/4)*sqrt(x^6 + x^2)*(x^5 - 6*x^3 + x) + 8*(x^6 + 2*x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt((4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) + 8*2^(1/4)*(3*x^6 - 2*x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 2*x)/(x^9 - 28*x^7 + 6*x^5 - 28*x^3 + x)) - 1/8*2^(1/4)*arctan(-1/2*(2*x^9 + 8*x^7 + 12*x^5 + 8*x^3 - 4*2^(3/4)*(x^6 + x^2)^(3/4)*(x^4 - 6*x^2 + 1) + 8*sqrt(2)*sqrt(x^6 + x^2)*(x^5 + 2*x^3 + x) - sqrt(2)*(32*sqrt(2)*(x^6 + x^2)^(3/4)*x^2 - 2^(3/4)*(x^9 - 16*x^7 - 2*x^5 - 16*x^3 + x) - 4*2^(1/4)*sqrt(x^6 + x^2)*(x^5 - 6*x^3 + x) + 8*(x^6 + 2*x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt(-(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) - 8*2^(1/4)*(3*x^6 - 2*x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 2*x)/(x^9 - 28*x^7 + 6*x^5 - 28*x^3 + x)) - 1/32*2^(1/4)*log(8*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) + 1/32*2^(1/4)*log(-8*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x))","B",0
2191,1,1002,0,102.135260," ","integrate((x^4+x^2+1)/(x^4-1)/(x^6+x^2)^(1/4),x, algorithm=""fricas"")","-\frac{3}{8} \cdot 2^{\frac{3}{4}} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{6} + x^{2}} x + 2^{\frac{1}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) - \frac{3}{32} \cdot 2^{\frac{3}{4}} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} x + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) + \frac{3}{32} \cdot 2^{\frac{3}{4}} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} x + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) + \frac{1}{8} \cdot 2^{\frac{1}{4}} \arctan\left(-\frac{2 \, x^{9} + 8 \, x^{7} + 12 \, x^{5} + 8 \, x^{3} + 4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 6 \, x^{2} + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} + 2 \, x^{3} + x\right)} - \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{9} - 16 \, x^{7} - 2 \, x^{5} - 16 \, x^{3} + x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 6 \, x^{3} + x\right)} + 8 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} + 2 \, x^{3} + x}} + 8 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{6} - 2 \, x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 2 \, x}{2 \, {\left(x^{9} - 28 \, x^{7} + 6 \, x^{5} - 28 \, x^{3} + x\right)}}\right) - \frac{1}{8} \cdot 2^{\frac{1}{4}} \arctan\left(-\frac{2 \, x^{9} + 8 \, x^{7} + 12 \, x^{5} + 8 \, x^{3} - 4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 6 \, x^{2} + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} + 2 \, x^{3} + x\right)} - \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{9} - 16 \, x^{7} - 2 \, x^{5} - 16 \, x^{3} + x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 6 \, x^{3} + x\right)} + 8 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} + 2 \, x^{3} + x}} - 8 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{6} - 2 \, x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 2 \, x}{2 \, {\left(x^{9} - 28 \, x^{7} + 6 \, x^{5} - 28 \, x^{3} + x\right)}}\right) - \frac{1}{32} \cdot 2^{\frac{1}{4}} \log\left(\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x^{5} + 2 \, x^{3} + x}\right) + \frac{1}{32} \cdot 2^{\frac{1}{4}} \log\left(-\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x^{5} + 2 \, x^{3} + x}\right)"," ",0,"-3/8*2^(3/4)*arctan(1/2*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + 2^(3/4)*(2*2^(3/4)*sqrt(x^6 + x^2)*x + 2^(1/4)*(x^5 + 2*x^3 + x)) + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) - 3/32*2^(3/4)*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 2^(3/4)*(x^5 + 2*x^3 + x) + 4*2^(1/4)*sqrt(x^6 + x^2)*x + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 3/32*2^(3/4)*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 - 2^(3/4)*(x^5 + 2*x^3 + x) - 4*2^(1/4)*sqrt(x^6 + x^2)*x + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 1/8*2^(1/4)*arctan(-1/2*(2*x^9 + 8*x^7 + 12*x^5 + 8*x^3 + 4*2^(3/4)*(x^6 + x^2)^(3/4)*(x^4 - 6*x^2 + 1) + 8*sqrt(2)*sqrt(x^6 + x^2)*(x^5 + 2*x^3 + x) - sqrt(2)*(32*sqrt(2)*(x^6 + x^2)^(3/4)*x^2 + 2^(3/4)*(x^9 - 16*x^7 - 2*x^5 - 16*x^3 + x) + 4*2^(1/4)*sqrt(x^6 + x^2)*(x^5 - 6*x^3 + x) + 8*(x^6 + 2*x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt((4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) + 8*2^(1/4)*(3*x^6 - 2*x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 2*x)/(x^9 - 28*x^7 + 6*x^5 - 28*x^3 + x)) - 1/8*2^(1/4)*arctan(-1/2*(2*x^9 + 8*x^7 + 12*x^5 + 8*x^3 - 4*2^(3/4)*(x^6 + x^2)^(3/4)*(x^4 - 6*x^2 + 1) + 8*sqrt(2)*sqrt(x^6 + x^2)*(x^5 + 2*x^3 + x) - sqrt(2)*(32*sqrt(2)*(x^6 + x^2)^(3/4)*x^2 - 2^(3/4)*(x^9 - 16*x^7 - 2*x^5 - 16*x^3 + x) - 4*2^(1/4)*sqrt(x^6 + x^2)*(x^5 - 6*x^3 + x) + 8*(x^6 + 2*x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt(-(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) - 8*2^(1/4)*(3*x^6 - 2*x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 2*x)/(x^9 - 28*x^7 + 6*x^5 - 28*x^3 + x)) - 1/32*2^(1/4)*log(8*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) + 1/32*2^(1/4)*log(-8*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x))","B",0
2192,1,291,0,2.885845," ","integrate((x^3-4)*(x^3-2)*(x^3-1)^(2/3)/x^6/(x^6+x^3-2),x, algorithm=""fricas"")","\frac{10 \cdot 3^{\frac{2}{3}} \left(-2\right)^{\frac{1}{3}} x^{5} \log\left(-\frac{9 \cdot 3^{\frac{1}{3}} \left(-2\right)^{\frac{2}{3}} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 3^{\frac{2}{3}} \left(-2\right)^{\frac{1}{3}} {\left(x^{3} + 2\right)} - 18 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x}{x^{3} + 2}\right) - 5 \cdot 3^{\frac{2}{3}} \left(-2\right)^{\frac{1}{3}} x^{5} \log\left(-\frac{12 \cdot 3^{\frac{2}{3}} \left(-2\right)^{\frac{1}{3}} {\left(4 \, x^{4} - x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} - 3^{\frac{1}{3}} \left(-2\right)^{\frac{2}{3}} {\left(55 \, x^{6} - 50 \, x^{3} + 4\right)} - 18 \, {\left(7 \, x^{5} - 4 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x^{6} + 4 \, x^{3} + 4}\right) - 30 \cdot 3^{\frac{1}{6}} \left(-2\right)^{\frac{1}{3}} x^{5} \arctan\left(\frac{3^{\frac{1}{6}} {\left(12 \cdot 3^{\frac{2}{3}} \left(-2\right)^{\frac{2}{3}} {\left(4 \, x^{7} + 7 \, x^{4} - 2 \, x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} + 18 \, \left(-2\right)^{\frac{1}{3}} {\left(55 \, x^{8} - 50 \, x^{5} + 4 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}} - 3^{\frac{1}{3}} {\left(377 \, x^{9} - 600 \, x^{6} + 204 \, x^{3} - 8\right)}\right)}}{3 \, {\left(487 \, x^{9} - 480 \, x^{6} + 12 \, x^{3} + 8\right)}}\right) - 9 \, {\left(13 \, x^{3} - 8\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{90 \, x^{5}}"," ",0,"1/90*(10*3^(2/3)*(-2)^(1/3)*x^5*log(-(9*3^(1/3)*(-2)^(2/3)*(x^3 - 1)^(1/3)*x^2 + 3^(2/3)*(-2)^(1/3)*(x^3 + 2) - 18*(x^3 - 1)^(2/3)*x)/(x^3 + 2)) - 5*3^(2/3)*(-2)^(1/3)*x^5*log(-(12*3^(2/3)*(-2)^(1/3)*(4*x^4 - x)*(x^3 - 1)^(2/3) - 3^(1/3)*(-2)^(2/3)*(55*x^6 - 50*x^3 + 4) - 18*(7*x^5 - 4*x^2)*(x^3 - 1)^(1/3))/(x^6 + 4*x^3 + 4)) - 30*3^(1/6)*(-2)^(1/3)*x^5*arctan(1/3*3^(1/6)*(12*3^(2/3)*(-2)^(2/3)*(4*x^7 + 7*x^4 - 2*x)*(x^3 - 1)^(2/3) + 18*(-2)^(1/3)*(55*x^8 - 50*x^5 + 4*x^2)*(x^3 - 1)^(1/3) - 3^(1/3)*(377*x^9 - 600*x^6 + 204*x^3 - 8))/(487*x^9 - 480*x^6 + 12*x^3 + 8)) - 9*(13*x^3 - 8)*(x^3 - 1)^(2/3))/x^5","B",0
2193,1,1273,0,14.055223," ","integrate((x^4-1)*(x^6+x^2)^(1/4)/(x^8+1),x, algorithm=""fricas"")","-\frac{1}{32} \cdot 8^{\frac{7}{8}} \sqrt{2} \arctan\left(\frac{2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(8^{\frac{7}{8}} \sqrt{2} x^{2} + 2 \cdot 8^{\frac{3}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} + {\left(8^{\frac{3}{4}} {\left(x^{9} + 4 \, x^{5} + x\right)} + 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(8^{\frac{5}{8}} \sqrt{2} x^{2} + 2 \cdot 8^{\frac{1}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} + 8 \, \sqrt{x^{6} + x^{2}} {\left(2 \, x^{3} + \sqrt{2} {\left(x^{5} + x\right)}\right)} + 8 \cdot 8^{\frac{1}{4}} {\left(x^{7} + x^{3}\right)} + {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(4 \cdot 8^{\frac{3}{8}} \sqrt{2} x^{4} + 8^{\frac{7}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}\right)} \sqrt{\frac{{\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(4 \cdot 8^{\frac{3}{8}} \sqrt{2} x^{2} - 8^{\frac{7}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} + 2 \, \sqrt{2} {\left(x^{9} + x\right)} - 4 \, \sqrt{x^{6} + x^{2}} {\left(8^{\frac{3}{4}} x^{3} - 2 \cdot 8^{\frac{1}{4}} {\left(x^{5} + x\right)}\right)} + 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(4 \cdot 8^{\frac{1}{8}} \sqrt{2} x^{4} - 8^{\frac{5}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}}{x^{9} + x}} + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(8^{\frac{5}{8}} \sqrt{2} x^{4} + 2 \cdot 8^{\frac{1}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}}{8 \, {\left(x^{9} + x\right)}}\right) - \frac{1}{32} \cdot 8^{\frac{7}{8}} \sqrt{2} \arctan\left(\frac{2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(8^{\frac{7}{8}} \sqrt{2} x^{2} + 2 \cdot 8^{\frac{3}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} - {\left(8^{\frac{3}{4}} {\left(x^{9} + 4 \, x^{5} + x\right)} - 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(8^{\frac{5}{8}} \sqrt{2} x^{2} + 2 \cdot 8^{\frac{1}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} + 8 \, \sqrt{x^{6} + x^{2}} {\left(2 \, x^{3} + \sqrt{2} {\left(x^{5} + x\right)}\right)} + 8 \cdot 8^{\frac{1}{4}} {\left(x^{7} + x^{3}\right)} - {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(4 \cdot 8^{\frac{3}{8}} \sqrt{2} x^{4} + 8^{\frac{7}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}\right)} \sqrt{-\frac{{\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(4 \cdot 8^{\frac{3}{8}} \sqrt{2} x^{2} - 8^{\frac{7}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} - 2 \, \sqrt{2} {\left(x^{9} + x\right)} + 4 \, \sqrt{x^{6} + x^{2}} {\left(8^{\frac{3}{4}} x^{3} - 2 \cdot 8^{\frac{1}{4}} {\left(x^{5} + x\right)}\right)} + 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(4 \cdot 8^{\frac{1}{8}} \sqrt{2} x^{4} - 8^{\frac{5}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}}{x^{9} + x}} + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(8^{\frac{5}{8}} \sqrt{2} x^{4} + 2 \cdot 8^{\frac{1}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}}{8 \, {\left(x^{9} + x\right)}}\right) - \frac{1}{128} \cdot 8^{\frac{7}{8}} \sqrt{2} \log\left(\frac{4 \, {\left({\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(4 \cdot 8^{\frac{3}{8}} \sqrt{2} x^{2} - 8^{\frac{7}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} + 2 \, \sqrt{2} {\left(x^{9} + x\right)} - 4 \, \sqrt{x^{6} + x^{2}} {\left(8^{\frac{3}{4}} x^{3} - 2 \cdot 8^{\frac{1}{4}} {\left(x^{5} + x\right)}\right)} + 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(4 \cdot 8^{\frac{1}{8}} \sqrt{2} x^{4} - 8^{\frac{5}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}\right)}}{x^{9} + x}\right) + \frac{1}{128} \cdot 8^{\frac{7}{8}} \sqrt{2} \log\left(-\frac{4 \, {\left({\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(4 \cdot 8^{\frac{3}{8}} \sqrt{2} x^{2} - 8^{\frac{7}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} - 2 \, \sqrt{2} {\left(x^{9} + x\right)} + 4 \, \sqrt{x^{6} + x^{2}} {\left(8^{\frac{3}{4}} x^{3} - 2 \cdot 8^{\frac{1}{4}} {\left(x^{5} + x\right)}\right)} + 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(4 \cdot 8^{\frac{1}{8}} \sqrt{2} x^{4} - 8^{\frac{5}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}\right)}}{x^{9} + x}\right) - \frac{1}{16} \cdot 8^{\frac{7}{8}} \arctan\left(\frac{8^{\frac{5}{8}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)} + 2^{\frac{3}{4}} {\left(8^{\frac{3}{8}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)} + 2 \cdot 8^{\frac{1}{8}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)} - 2 \cdot 8^{\frac{3}{8}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{8 \, {\left(x^{5} + x\right)}}\right) - \frac{1}{64} \cdot 8^{\frac{7}{8}} \log\left(\frac{8^{\frac{3}{4}} {\left(x^{7} + x^{3}\right)} + {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(4 \cdot 8^{\frac{1}{8}} x^{2} + 8^{\frac{5}{8}} {\left(x^{4} + 1\right)}\right)} + 4 \, \sqrt{x^{6} + x^{2}} {\left(x^{5} + \sqrt{2} x^{3} + x\right)} + 8^{\frac{1}{4}} {\left(x^{9} + 4 \, x^{5} + x\right)} + {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(8^{\frac{7}{8}} x^{4} + 2 \cdot 8^{\frac{3}{8}} {\left(x^{6} + x^{2}\right)}\right)}}{x^{9} + x}\right) + \frac{1}{64} \cdot 8^{\frac{7}{8}} \log\left(\frac{8^{\frac{3}{4}} {\left(x^{7} + x^{3}\right)} - {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(4 \cdot 8^{\frac{1}{8}} x^{2} + 8^{\frac{5}{8}} {\left(x^{4} + 1\right)}\right)} + 4 \, \sqrt{x^{6} + x^{2}} {\left(x^{5} + \sqrt{2} x^{3} + x\right)} + 8^{\frac{1}{4}} {\left(x^{9} + 4 \, x^{5} + x\right)} - {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(8^{\frac{7}{8}} x^{4} + 2 \cdot 8^{\frac{3}{8}} {\left(x^{6} + x^{2}\right)}\right)}}{x^{9} + x}\right)"," ",0,"-1/32*8^(7/8)*sqrt(2)*arctan(1/8*(2*(x^6 + x^2)^(3/4)*(8^(7/8)*sqrt(2)*x^2 + 2*8^(3/8)*sqrt(2)*(x^4 + 1)) + (8^(3/4)*(x^9 + 4*x^5 + x) + 2*(x^6 + x^2)^(3/4)*(8^(5/8)*sqrt(2)*x^2 + 2*8^(1/8)*sqrt(2)*(x^4 + 1)) + 8*sqrt(x^6 + x^2)*(2*x^3 + sqrt(2)*(x^5 + x)) + 8*8^(1/4)*(x^7 + x^3) + (x^6 + x^2)^(1/4)*(4*8^(3/8)*sqrt(2)*x^4 + 8^(7/8)*sqrt(2)*(x^6 + x^2)))*sqrt(((x^6 + x^2)^(3/4)*(4*8^(3/8)*sqrt(2)*x^2 - 8^(7/8)*sqrt(2)*(x^4 + 1)) + 2*sqrt(2)*(x^9 + x) - 4*sqrt(x^6 + x^2)*(8^(3/4)*x^3 - 2*8^(1/4)*(x^5 + x)) + 2*(x^6 + x^2)^(1/4)*(4*8^(1/8)*sqrt(2)*x^4 - 8^(5/8)*sqrt(2)*(x^6 + x^2)))/(x^9 + x)) + 4*(x^6 + x^2)^(1/4)*(8^(5/8)*sqrt(2)*x^4 + 2*8^(1/8)*sqrt(2)*(x^6 + x^2)))/(x^9 + x)) - 1/32*8^(7/8)*sqrt(2)*arctan(1/8*(2*(x^6 + x^2)^(3/4)*(8^(7/8)*sqrt(2)*x^2 + 2*8^(3/8)*sqrt(2)*(x^4 + 1)) - (8^(3/4)*(x^9 + 4*x^5 + x) - 2*(x^6 + x^2)^(3/4)*(8^(5/8)*sqrt(2)*x^2 + 2*8^(1/8)*sqrt(2)*(x^4 + 1)) + 8*sqrt(x^6 + x^2)*(2*x^3 + sqrt(2)*(x^5 + x)) + 8*8^(1/4)*(x^7 + x^3) - (x^6 + x^2)^(1/4)*(4*8^(3/8)*sqrt(2)*x^4 + 8^(7/8)*sqrt(2)*(x^6 + x^2)))*sqrt(-((x^6 + x^2)^(3/4)*(4*8^(3/8)*sqrt(2)*x^2 - 8^(7/8)*sqrt(2)*(x^4 + 1)) - 2*sqrt(2)*(x^9 + x) + 4*sqrt(x^6 + x^2)*(8^(3/4)*x^3 - 2*8^(1/4)*(x^5 + x)) + 2*(x^6 + x^2)^(1/4)*(4*8^(1/8)*sqrt(2)*x^4 - 8^(5/8)*sqrt(2)*(x^6 + x^2)))/(x^9 + x)) + 4*(x^6 + x^2)^(1/4)*(8^(5/8)*sqrt(2)*x^4 + 2*8^(1/8)*sqrt(2)*(x^6 + x^2)))/(x^9 + x)) - 1/128*8^(7/8)*sqrt(2)*log(4*((x^6 + x^2)^(3/4)*(4*8^(3/8)*sqrt(2)*x^2 - 8^(7/8)*sqrt(2)*(x^4 + 1)) + 2*sqrt(2)*(x^9 + x) - 4*sqrt(x^6 + x^2)*(8^(3/4)*x^3 - 2*8^(1/4)*(x^5 + x)) + 2*(x^6 + x^2)^(1/4)*(4*8^(1/8)*sqrt(2)*x^4 - 8^(5/8)*sqrt(2)*(x^6 + x^2)))/(x^9 + x)) + 1/128*8^(7/8)*sqrt(2)*log(-4*((x^6 + x^2)^(3/4)*(4*8^(3/8)*sqrt(2)*x^2 - 8^(7/8)*sqrt(2)*(x^4 + 1)) - 2*sqrt(2)*(x^9 + x) + 4*sqrt(x^6 + x^2)*(8^(3/4)*x^3 - 2*8^(1/4)*(x^5 + x)) + 2*(x^6 + x^2)^(1/4)*(4*8^(1/8)*sqrt(2)*x^4 - 8^(5/8)*sqrt(2)*(x^6 + x^2)))/(x^9 + x)) - 1/16*8^(7/8)*arctan(1/8*(8^(5/8)*(x^6 + x^2)^(1/4)*(x^4 + 1) + 2^(3/4)*(8^(3/8)*(x^6 + x^2)^(1/4)*(x^4 + 1) + 2*8^(1/8)*(x^6 + x^2)^(3/4)) - 2*8^(3/8)*(x^6 + x^2)^(3/4))/(x^5 + x)) - 1/64*8^(7/8)*log((8^(3/4)*(x^7 + x^3) + (x^6 + x^2)^(3/4)*(4*8^(1/8)*x^2 + 8^(5/8)*(x^4 + 1)) + 4*sqrt(x^6 + x^2)*(x^5 + sqrt(2)*x^3 + x) + 8^(1/4)*(x^9 + 4*x^5 + x) + (x^6 + x^2)^(1/4)*(8^(7/8)*x^4 + 2*8^(3/8)*(x^6 + x^2)))/(x^9 + x)) + 1/64*8^(7/8)*log((8^(3/4)*(x^7 + x^3) - (x^6 + x^2)^(3/4)*(4*8^(1/8)*x^2 + 8^(5/8)*(x^4 + 1)) + 4*sqrt(x^6 + x^2)*(x^5 + sqrt(2)*x^3 + x) + 8^(1/4)*(x^9 + 4*x^5 + x) - (x^6 + x^2)^(1/4)*(8^(7/8)*x^4 + 2*8^(3/8)*(x^6 + x^2)))/(x^9 + x))","B",0
2194,1,1273,0,14.237725," ","integrate((x^4-1)*(x^6+x^2)^(1/4)/(x^8+1),x, algorithm=""fricas"")","-\frac{1}{32} \cdot 8^{\frac{7}{8}} \sqrt{2} \arctan\left(\frac{2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(8^{\frac{7}{8}} \sqrt{2} x^{2} + 2 \cdot 8^{\frac{3}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} + {\left(8^{\frac{3}{4}} {\left(x^{9} + 4 \, x^{5} + x\right)} + 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(8^{\frac{5}{8}} \sqrt{2} x^{2} + 2 \cdot 8^{\frac{1}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} + 8 \, \sqrt{x^{6} + x^{2}} {\left(2 \, x^{3} + \sqrt{2} {\left(x^{5} + x\right)}\right)} + 8 \cdot 8^{\frac{1}{4}} {\left(x^{7} + x^{3}\right)} + {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(4 \cdot 8^{\frac{3}{8}} \sqrt{2} x^{4} + 8^{\frac{7}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}\right)} \sqrt{\frac{{\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(4 \cdot 8^{\frac{3}{8}} \sqrt{2} x^{2} - 8^{\frac{7}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} + 2 \, \sqrt{2} {\left(x^{9} + x\right)} - 4 \, \sqrt{x^{6} + x^{2}} {\left(8^{\frac{3}{4}} x^{3} - 2 \cdot 8^{\frac{1}{4}} {\left(x^{5} + x\right)}\right)} + 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(4 \cdot 8^{\frac{1}{8}} \sqrt{2} x^{4} - 8^{\frac{5}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}}{x^{9} + x}} + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(8^{\frac{5}{8}} \sqrt{2} x^{4} + 2 \cdot 8^{\frac{1}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}}{8 \, {\left(x^{9} + x\right)}}\right) - \frac{1}{32} \cdot 8^{\frac{7}{8}} \sqrt{2} \arctan\left(\frac{2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(8^{\frac{7}{8}} \sqrt{2} x^{2} + 2 \cdot 8^{\frac{3}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} - {\left(8^{\frac{3}{4}} {\left(x^{9} + 4 \, x^{5} + x\right)} - 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(8^{\frac{5}{8}} \sqrt{2} x^{2} + 2 \cdot 8^{\frac{1}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} + 8 \, \sqrt{x^{6} + x^{2}} {\left(2 \, x^{3} + \sqrt{2} {\left(x^{5} + x\right)}\right)} + 8 \cdot 8^{\frac{1}{4}} {\left(x^{7} + x^{3}\right)} - {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(4 \cdot 8^{\frac{3}{8}} \sqrt{2} x^{4} + 8^{\frac{7}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}\right)} \sqrt{-\frac{{\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(4 \cdot 8^{\frac{3}{8}} \sqrt{2} x^{2} - 8^{\frac{7}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} - 2 \, \sqrt{2} {\left(x^{9} + x\right)} + 4 \, \sqrt{x^{6} + x^{2}} {\left(8^{\frac{3}{4}} x^{3} - 2 \cdot 8^{\frac{1}{4}} {\left(x^{5} + x\right)}\right)} + 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(4 \cdot 8^{\frac{1}{8}} \sqrt{2} x^{4} - 8^{\frac{5}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}}{x^{9} + x}} + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(8^{\frac{5}{8}} \sqrt{2} x^{4} + 2 \cdot 8^{\frac{1}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}}{8 \, {\left(x^{9} + x\right)}}\right) - \frac{1}{128} \cdot 8^{\frac{7}{8}} \sqrt{2} \log\left(\frac{4 \, {\left({\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(4 \cdot 8^{\frac{3}{8}} \sqrt{2} x^{2} - 8^{\frac{7}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} + 2 \, \sqrt{2} {\left(x^{9} + x\right)} - 4 \, \sqrt{x^{6} + x^{2}} {\left(8^{\frac{3}{4}} x^{3} - 2 \cdot 8^{\frac{1}{4}} {\left(x^{5} + x\right)}\right)} + 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(4 \cdot 8^{\frac{1}{8}} \sqrt{2} x^{4} - 8^{\frac{5}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}\right)}}{x^{9} + x}\right) + \frac{1}{128} \cdot 8^{\frac{7}{8}} \sqrt{2} \log\left(-\frac{4 \, {\left({\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(4 \cdot 8^{\frac{3}{8}} \sqrt{2} x^{2} - 8^{\frac{7}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} - 2 \, \sqrt{2} {\left(x^{9} + x\right)} + 4 \, \sqrt{x^{6} + x^{2}} {\left(8^{\frac{3}{4}} x^{3} - 2 \cdot 8^{\frac{1}{4}} {\left(x^{5} + x\right)}\right)} + 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(4 \cdot 8^{\frac{1}{8}} \sqrt{2} x^{4} - 8^{\frac{5}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}\right)}}{x^{9} + x}\right) - \frac{1}{16} \cdot 8^{\frac{7}{8}} \arctan\left(\frac{8^{\frac{5}{8}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)} + 2^{\frac{3}{4}} {\left(8^{\frac{3}{8}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)} + 2 \cdot 8^{\frac{1}{8}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)} - 2 \cdot 8^{\frac{3}{8}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{8 \, {\left(x^{5} + x\right)}}\right) - \frac{1}{64} \cdot 8^{\frac{7}{8}} \log\left(\frac{8^{\frac{3}{4}} {\left(x^{7} + x^{3}\right)} + {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(4 \cdot 8^{\frac{1}{8}} x^{2} + 8^{\frac{5}{8}} {\left(x^{4} + 1\right)}\right)} + 4 \, \sqrt{x^{6} + x^{2}} {\left(x^{5} + \sqrt{2} x^{3} + x\right)} + 8^{\frac{1}{4}} {\left(x^{9} + 4 \, x^{5} + x\right)} + {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(8^{\frac{7}{8}} x^{4} + 2 \cdot 8^{\frac{3}{8}} {\left(x^{6} + x^{2}\right)}\right)}}{x^{9} + x}\right) + \frac{1}{64} \cdot 8^{\frac{7}{8}} \log\left(\frac{8^{\frac{3}{4}} {\left(x^{7} + x^{3}\right)} - {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(4 \cdot 8^{\frac{1}{8}} x^{2} + 8^{\frac{5}{8}} {\left(x^{4} + 1\right)}\right)} + 4 \, \sqrt{x^{6} + x^{2}} {\left(x^{5} + \sqrt{2} x^{3} + x\right)} + 8^{\frac{1}{4}} {\left(x^{9} + 4 \, x^{5} + x\right)} - {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(8^{\frac{7}{8}} x^{4} + 2 \cdot 8^{\frac{3}{8}} {\left(x^{6} + x^{2}\right)}\right)}}{x^{9} + x}\right)"," ",0,"-1/32*8^(7/8)*sqrt(2)*arctan(1/8*(2*(x^6 + x^2)^(3/4)*(8^(7/8)*sqrt(2)*x^2 + 2*8^(3/8)*sqrt(2)*(x^4 + 1)) + (8^(3/4)*(x^9 + 4*x^5 + x) + 2*(x^6 + x^2)^(3/4)*(8^(5/8)*sqrt(2)*x^2 + 2*8^(1/8)*sqrt(2)*(x^4 + 1)) + 8*sqrt(x^6 + x^2)*(2*x^3 + sqrt(2)*(x^5 + x)) + 8*8^(1/4)*(x^7 + x^3) + (x^6 + x^2)^(1/4)*(4*8^(3/8)*sqrt(2)*x^4 + 8^(7/8)*sqrt(2)*(x^6 + x^2)))*sqrt(((x^6 + x^2)^(3/4)*(4*8^(3/8)*sqrt(2)*x^2 - 8^(7/8)*sqrt(2)*(x^4 + 1)) + 2*sqrt(2)*(x^9 + x) - 4*sqrt(x^6 + x^2)*(8^(3/4)*x^3 - 2*8^(1/4)*(x^5 + x)) + 2*(x^6 + x^2)^(1/4)*(4*8^(1/8)*sqrt(2)*x^4 - 8^(5/8)*sqrt(2)*(x^6 + x^2)))/(x^9 + x)) + 4*(x^6 + x^2)^(1/4)*(8^(5/8)*sqrt(2)*x^4 + 2*8^(1/8)*sqrt(2)*(x^6 + x^2)))/(x^9 + x)) - 1/32*8^(7/8)*sqrt(2)*arctan(1/8*(2*(x^6 + x^2)^(3/4)*(8^(7/8)*sqrt(2)*x^2 + 2*8^(3/8)*sqrt(2)*(x^4 + 1)) - (8^(3/4)*(x^9 + 4*x^5 + x) - 2*(x^6 + x^2)^(3/4)*(8^(5/8)*sqrt(2)*x^2 + 2*8^(1/8)*sqrt(2)*(x^4 + 1)) + 8*sqrt(x^6 + x^2)*(2*x^3 + sqrt(2)*(x^5 + x)) + 8*8^(1/4)*(x^7 + x^3) - (x^6 + x^2)^(1/4)*(4*8^(3/8)*sqrt(2)*x^4 + 8^(7/8)*sqrt(2)*(x^6 + x^2)))*sqrt(-((x^6 + x^2)^(3/4)*(4*8^(3/8)*sqrt(2)*x^2 - 8^(7/8)*sqrt(2)*(x^4 + 1)) - 2*sqrt(2)*(x^9 + x) + 4*sqrt(x^6 + x^2)*(8^(3/4)*x^3 - 2*8^(1/4)*(x^5 + x)) + 2*(x^6 + x^2)^(1/4)*(4*8^(1/8)*sqrt(2)*x^4 - 8^(5/8)*sqrt(2)*(x^6 + x^2)))/(x^9 + x)) + 4*(x^6 + x^2)^(1/4)*(8^(5/8)*sqrt(2)*x^4 + 2*8^(1/8)*sqrt(2)*(x^6 + x^2)))/(x^9 + x)) - 1/128*8^(7/8)*sqrt(2)*log(4*((x^6 + x^2)^(3/4)*(4*8^(3/8)*sqrt(2)*x^2 - 8^(7/8)*sqrt(2)*(x^4 + 1)) + 2*sqrt(2)*(x^9 + x) - 4*sqrt(x^6 + x^2)*(8^(3/4)*x^3 - 2*8^(1/4)*(x^5 + x)) + 2*(x^6 + x^2)^(1/4)*(4*8^(1/8)*sqrt(2)*x^4 - 8^(5/8)*sqrt(2)*(x^6 + x^2)))/(x^9 + x)) + 1/128*8^(7/8)*sqrt(2)*log(-4*((x^6 + x^2)^(3/4)*(4*8^(3/8)*sqrt(2)*x^2 - 8^(7/8)*sqrt(2)*(x^4 + 1)) - 2*sqrt(2)*(x^9 + x) + 4*sqrt(x^6 + x^2)*(8^(3/4)*x^3 - 2*8^(1/4)*(x^5 + x)) + 2*(x^6 + x^2)^(1/4)*(4*8^(1/8)*sqrt(2)*x^4 - 8^(5/8)*sqrt(2)*(x^6 + x^2)))/(x^9 + x)) - 1/16*8^(7/8)*arctan(1/8*(8^(5/8)*(x^6 + x^2)^(1/4)*(x^4 + 1) + 2^(3/4)*(8^(3/8)*(x^6 + x^2)^(1/4)*(x^4 + 1) + 2*8^(1/8)*(x^6 + x^2)^(3/4)) - 2*8^(3/8)*(x^6 + x^2)^(3/4))/(x^5 + x)) - 1/64*8^(7/8)*log((8^(3/4)*(x^7 + x^3) + (x^6 + x^2)^(3/4)*(4*8^(1/8)*x^2 + 8^(5/8)*(x^4 + 1)) + 4*sqrt(x^6 + x^2)*(x^5 + sqrt(2)*x^3 + x) + 8^(1/4)*(x^9 + 4*x^5 + x) + (x^6 + x^2)^(1/4)*(8^(7/8)*x^4 + 2*8^(3/8)*(x^6 + x^2)))/(x^9 + x)) + 1/64*8^(7/8)*log((8^(3/4)*(x^7 + x^3) - (x^6 + x^2)^(3/4)*(4*8^(1/8)*x^2 + 8^(5/8)*(x^4 + 1)) + 4*sqrt(x^6 + x^2)*(x^5 + sqrt(2)*x^3 + x) + 8^(1/4)*(x^9 + 4*x^5 + x) - (x^6 + x^2)^(1/4)*(8^(7/8)*x^4 + 2*8^(3/8)*(x^6 + x^2)))/(x^9 + x))","B",0
2195,1,2347,0,120.665389," ","integrate((x^8-1)/(x^6+x^2)^(1/4)/(x^8+1),x, algorithm=""fricas"")","-\frac{1}{4} \cdot 2^{\frac{7}{8}} \arctan\left(\frac{4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(2^{\frac{5}{8}} x^{2} + 2^{\frac{1}{8}} {\left(x^{4} + 1\right)}\right)} + {\left(2^{\frac{5}{8}} {\left(x^{9} + 4 \, x^{7} + 4 \, x^{5} + 4 \, x^{3} + x\right)} + 2 \, \sqrt{x^{6} + x^{2}} {\left(2^{\frac{7}{8}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 2 \cdot 2^{\frac{3}{8}} {\left(x^{5} + x^{3} + x\right)}\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(x^{9} + 2 \, x^{7} + 4 \, x^{5} + 2 \, x^{3} + x\right)}\right)} \sqrt{3 \cdot 2^{\frac{3}{4}} - 4 \cdot 2^{\frac{1}{4}}} + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(2^{\frac{7}{8}} x^{4} + 2^{\frac{3}{8}} {\left(x^{6} + x^{2}\right)}\right)}}{2 \, {\left(x^{9} + x\right)}}\right) - \frac{1}{16} \cdot 2^{\frac{7}{8}} \log\left(-\frac{2^{\frac{7}{8}} {\left(x^{9} - 2 \, x^{7} + 4 \, x^{5} - 2 \, x^{3} + x\right)} + 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(2 \, x^{4} - 2 \, x^{2} - \sqrt{2} {\left(x^{4} - 2 \, x^{2} + 1\right)} + 2\right)} - 2 \, \sqrt{x^{6} + x^{2}} {\left(2^{\frac{5}{8}} {\left(x^{5} - 2 \, x^{3} + x\right)} - 2 \cdot 2^{\frac{1}{8}} {\left(x^{5} - x^{3} + x\right)}\right)} - 2^{\frac{3}{8}} {\left(x^{9} - 4 \, x^{7} + 4 \, x^{5} - 4 \, x^{3} + x\right)} - 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(2^{\frac{3}{4}} {\left(x^{6} - 2 \, x^{4} + x^{2}\right)} - 2 \cdot 2^{\frac{1}{4}} {\left(x^{6} - x^{4} + x^{2}\right)}\right)}}{x^{9} + x}\right) + \frac{1}{16} \cdot 2^{\frac{7}{8}} \log\left(\frac{2^{\frac{7}{8}} {\left(x^{9} - 2 \, x^{7} + 4 \, x^{5} - 2 \, x^{3} + x\right)} - 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(2 \, x^{4} - 2 \, x^{2} - \sqrt{2} {\left(x^{4} - 2 \, x^{2} + 1\right)} + 2\right)} - 2 \, \sqrt{x^{6} + x^{2}} {\left(2^{\frac{5}{8}} {\left(x^{5} - 2 \, x^{3} + x\right)} - 2 \cdot 2^{\frac{1}{8}} {\left(x^{5} - x^{3} + x\right)}\right)} - 2^{\frac{3}{8}} {\left(x^{9} - 4 \, x^{7} + 4 \, x^{5} - 4 \, x^{3} + x\right)} + 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(2^{\frac{3}{4}} {\left(x^{6} - 2 \, x^{4} + x^{2}\right)} - 2 \cdot 2^{\frac{1}{4}} {\left(x^{6} - x^{4} + x^{2}\right)}\right)}}{x^{9} + x}\right) - \frac{1}{4} \cdot 2^{\frac{3}{8}} \arctan\left(\frac{x^{17} + 64 \, x^{13} + 130 \, x^{9} + 64 \, x^{5} + 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(2^{\frac{5}{8}} {\left(x^{12} - 79 \, x^{8} - 79 \, x^{4} + 1\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(11 \, x^{10} + 16 \, x^{6} + 11 \, x^{2}\right)}\right)} + 16 \, \sqrt{2} {\left(x^{15} + 5 \, x^{11} + 5 \, x^{7} + x^{3}\right)} + 4 \, \sqrt{x^{6} + x^{2}} {\left(2^{\frac{3}{4}} {\left(15 \, x^{11} + 32 \, x^{7} + 15 \, x^{3}\right)} + 2^{\frac{1}{4}} {\left(x^{13} + 33 \, x^{9} + 33 \, x^{5} + x\right)}\right)} + {\left(16 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(2^{\frac{3}{4}} {\left(x^{10} - 14 \, x^{8} + 4 \, x^{6} - 14 \, x^{4} + x^{2}\right)} - 2^{\frac{1}{4}} {\left(x^{10} - 28 \, x^{8} + 4 \, x^{6} - 28 \, x^{4} + x^{2}\right)}\right)} + 2^{\frac{5}{8}} {\left(x^{17} - 6 \, x^{15} - 220 \, x^{13} + 26 \, x^{11} - 446 \, x^{9} + 26 \, x^{7} - 220 \, x^{5} - 6 \, x^{3} + x\right)} + 2 \, \sqrt{x^{6} + x^{2}} {\left(2^{\frac{7}{8}} {\left(x^{13} - 11 \, x^{11} - 79 \, x^{9} - 16 \, x^{7} - 79 \, x^{5} - 11 \, x^{3} + x\right)} - 2^{\frac{3}{8}} {\left(x^{13} - 22 \, x^{11} - 79 \, x^{9} - 32 \, x^{7} - 79 \, x^{5} - 22 \, x^{3} + x\right)}\right)} - 4 \, {\left(x^{14} - 30 \, x^{12} + 33 \, x^{10} - 64 \, x^{8} + 33 \, x^{6} - 30 \, x^{4} + x^{2} - \sqrt{2} {\left(x^{14} - 15 \, x^{12} + 33 \, x^{10} - 32 \, x^{8} + 33 \, x^{6} - 15 \, x^{4} + x^{2}\right)}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} - 2^{\frac{1}{8}} {\left(x^{17} - 12 \, x^{15} - 220 \, x^{13} + 52 \, x^{11} - 446 \, x^{9} + 52 \, x^{7} - 220 \, x^{5} - 12 \, x^{3} + x\right)}\right)} \sqrt{\frac{3 \cdot 2^{\frac{3}{4}} {\left(x^{9} + x\right)} + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(2^{\frac{7}{8}} {\left(2 \, x^{4} - 3 \, x^{2} + 2\right)} + 2^{\frac{3}{8}} {\left(3 \, x^{4} - 4 \, x^{2} + 3\right)}\right)} + 8 \, \sqrt{x^{6} + x^{2}} {\left(3 \, x^{5} - 4 \, x^{3} + \sqrt{2} {\left(2 \, x^{5} - 3 \, x^{3} + 2 \, x\right)} + 3 \, x\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{9} + x\right)} + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(2^{\frac{5}{8}} {\left(3 \, x^{6} - 4 \, x^{4} + 3 \, x^{2}\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(2 \, x^{6} - 3 \, x^{4} + 2 \, x^{2}\right)}\right)}}{x^{9} + x}} + 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(2^{\frac{7}{8}} {\left(3 \, x^{14} - 13 \, x^{10} - 13 \, x^{6} + 3 \, x^{2}\right)} + 2 \cdot 2^{\frac{3}{8}} {\left(41 \, x^{12} + 80 \, x^{8} + 41 \, x^{4}\right)}\right)} + x}{x^{17} - 384 \, x^{13} - 766 \, x^{9} - 384 \, x^{5} + x}\right) + \frac{1}{4} \cdot 2^{\frac{3}{8}} \arctan\left(\frac{x^{17} + 64 \, x^{13} + 130 \, x^{9} + 64 \, x^{5} - 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(2^{\frac{5}{8}} {\left(x^{12} - 79 \, x^{8} - 79 \, x^{4} + 1\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(11 \, x^{10} + 16 \, x^{6} + 11 \, x^{2}\right)}\right)} + 16 \, \sqrt{2} {\left(x^{15} + 5 \, x^{11} + 5 \, x^{7} + x^{3}\right)} + 4 \, \sqrt{x^{6} + x^{2}} {\left(2^{\frac{3}{4}} {\left(15 \, x^{11} + 32 \, x^{7} + 15 \, x^{3}\right)} + 2^{\frac{1}{4}} {\left(x^{13} + 33 \, x^{9} + 33 \, x^{5} + x\right)}\right)} + {\left(16 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(2^{\frac{3}{4}} {\left(x^{10} - 14 \, x^{8} + 4 \, x^{6} - 14 \, x^{4} + x^{2}\right)} - 2^{\frac{1}{4}} {\left(x^{10} - 28 \, x^{8} + 4 \, x^{6} - 28 \, x^{4} + x^{2}\right)}\right)} - 2^{\frac{5}{8}} {\left(x^{17} - 6 \, x^{15} - 220 \, x^{13} + 26 \, x^{11} - 446 \, x^{9} + 26 \, x^{7} - 220 \, x^{5} - 6 \, x^{3} + x\right)} - 2 \, \sqrt{x^{6} + x^{2}} {\left(2^{\frac{7}{8}} {\left(x^{13} - 11 \, x^{11} - 79 \, x^{9} - 16 \, x^{7} - 79 \, x^{5} - 11 \, x^{3} + x\right)} - 2^{\frac{3}{8}} {\left(x^{13} - 22 \, x^{11} - 79 \, x^{9} - 32 \, x^{7} - 79 \, x^{5} - 22 \, x^{3} + x\right)}\right)} - 4 \, {\left(x^{14} - 30 \, x^{12} + 33 \, x^{10} - 64 \, x^{8} + 33 \, x^{6} - 30 \, x^{4} + x^{2} - \sqrt{2} {\left(x^{14} - 15 \, x^{12} + 33 \, x^{10} - 32 \, x^{8} + 33 \, x^{6} - 15 \, x^{4} + x^{2}\right)}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 2^{\frac{1}{8}} {\left(x^{17} - 12 \, x^{15} - 220 \, x^{13} + 52 \, x^{11} - 446 \, x^{9} + 52 \, x^{7} - 220 \, x^{5} - 12 \, x^{3} + x\right)}\right)} \sqrt{\frac{3 \cdot 2^{\frac{3}{4}} {\left(x^{9} + x\right)} - 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(2^{\frac{7}{8}} {\left(2 \, x^{4} - 3 \, x^{2} + 2\right)} + 2^{\frac{3}{8}} {\left(3 \, x^{4} - 4 \, x^{2} + 3\right)}\right)} + 8 \, \sqrt{x^{6} + x^{2}} {\left(3 \, x^{5} - 4 \, x^{3} + \sqrt{2} {\left(2 \, x^{5} - 3 \, x^{3} + 2 \, x\right)} + 3 \, x\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{9} + x\right)} - 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(2^{\frac{5}{8}} {\left(3 \, x^{6} - 4 \, x^{4} + 3 \, x^{2}\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(2 \, x^{6} - 3 \, x^{4} + 2 \, x^{2}\right)}\right)}}{x^{9} + x}} - 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(2^{\frac{7}{8}} {\left(3 \, x^{14} - 13 \, x^{10} - 13 \, x^{6} + 3 \, x^{2}\right)} + 2 \cdot 2^{\frac{3}{8}} {\left(41 \, x^{12} + 80 \, x^{8} + 41 \, x^{4}\right)}\right)} + x}{x^{17} - 384 \, x^{13} - 766 \, x^{9} - 384 \, x^{5} + x}\right) - \frac{1}{16} \cdot 2^{\frac{3}{8}} \log\left(\frac{4 \, {\left(3 \cdot 2^{\frac{3}{4}} {\left(x^{9} + x\right)} + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(2^{\frac{7}{8}} {\left(2 \, x^{4} - 3 \, x^{2} + 2\right)} + 2^{\frac{3}{8}} {\left(3 \, x^{4} - 4 \, x^{2} + 3\right)}\right)} + 8 \, \sqrt{x^{6} + x^{2}} {\left(3 \, x^{5} - 4 \, x^{3} + \sqrt{2} {\left(2 \, x^{5} - 3 \, x^{3} + 2 \, x\right)} + 3 \, x\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{9} + x\right)} + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(2^{\frac{5}{8}} {\left(3 \, x^{6} - 4 \, x^{4} + 3 \, x^{2}\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(2 \, x^{6} - 3 \, x^{4} + 2 \, x^{2}\right)}\right)}\right)}}{x^{9} + x}\right) + \frac{1}{16} \cdot 2^{\frac{3}{8}} \log\left(\frac{4 \, {\left(3 \cdot 2^{\frac{3}{4}} {\left(x^{9} + x\right)} - 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(2^{\frac{7}{8}} {\left(2 \, x^{4} - 3 \, x^{2} + 2\right)} + 2^{\frac{3}{8}} {\left(3 \, x^{4} - 4 \, x^{2} + 3\right)}\right)} + 8 \, \sqrt{x^{6} + x^{2}} {\left(3 \, x^{5} - 4 \, x^{3} + \sqrt{2} {\left(2 \, x^{5} - 3 \, x^{3} + 2 \, x\right)} + 3 \, x\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{9} + x\right)} - 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(2^{\frac{5}{8}} {\left(3 \, x^{6} - 4 \, x^{4} + 3 \, x^{2}\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(2 \, x^{6} - 3 \, x^{4} + 2 \, x^{2}\right)}\right)}\right)}}{x^{9} + x}\right)"," ",0,"-1/4*2^(7/8)*arctan(1/2*(4*(x^6 + x^2)^(3/4)*(2^(5/8)*x^2 + 2^(1/8)*(x^4 + 1)) + (2^(5/8)*(x^9 + 4*x^7 + 4*x^5 + 4*x^3 + x) + 2*sqrt(x^6 + x^2)*(2^(7/8)*(x^5 + 2*x^3 + x) + 2*2^(3/8)*(x^5 + x^3 + x)) + 2*2^(1/8)*(x^9 + 2*x^7 + 4*x^5 + 2*x^3 + x))*sqrt(3*2^(3/4) - 4*2^(1/4)) + 4*(x^6 + x^2)^(1/4)*(2^(7/8)*x^4 + 2^(3/8)*(x^6 + x^2)))/(x^9 + x)) - 1/16*2^(7/8)*log(-(2^(7/8)*(x^9 - 2*x^7 + 4*x^5 - 2*x^3 + x) + 2*(x^6 + x^2)^(3/4)*(2*x^4 - 2*x^2 - sqrt(2)*(x^4 - 2*x^2 + 1) + 2) - 2*sqrt(x^6 + x^2)*(2^(5/8)*(x^5 - 2*x^3 + x) - 2*2^(1/8)*(x^5 - x^3 + x)) - 2^(3/8)*(x^9 - 4*x^7 + 4*x^5 - 4*x^3 + x) - 2*(x^6 + x^2)^(1/4)*(2^(3/4)*(x^6 - 2*x^4 + x^2) - 2*2^(1/4)*(x^6 - x^4 + x^2)))/(x^9 + x)) + 1/16*2^(7/8)*log((2^(7/8)*(x^9 - 2*x^7 + 4*x^5 - 2*x^3 + x) - 2*(x^6 + x^2)^(3/4)*(2*x^4 - 2*x^2 - sqrt(2)*(x^4 - 2*x^2 + 1) + 2) - 2*sqrt(x^6 + x^2)*(2^(5/8)*(x^5 - 2*x^3 + x) - 2*2^(1/8)*(x^5 - x^3 + x)) - 2^(3/8)*(x^9 - 4*x^7 + 4*x^5 - 4*x^3 + x) + 2*(x^6 + x^2)^(1/4)*(2^(3/4)*(x^6 - 2*x^4 + x^2) - 2*2^(1/4)*(x^6 - x^4 + x^2)))/(x^9 + x)) - 1/4*2^(3/8)*arctan((x^17 + 64*x^13 + 130*x^9 + 64*x^5 + 2*(x^6 + x^2)^(3/4)*(2^(5/8)*(x^12 - 79*x^8 - 79*x^4 + 1) + 2*2^(1/8)*(11*x^10 + 16*x^6 + 11*x^2)) + 16*sqrt(2)*(x^15 + 5*x^11 + 5*x^7 + x^3) + 4*sqrt(x^6 + x^2)*(2^(3/4)*(15*x^11 + 32*x^7 + 15*x^3) + 2^(1/4)*(x^13 + 33*x^9 + 33*x^5 + x)) + (16*(x^6 + x^2)^(3/4)*(2^(3/4)*(x^10 - 14*x^8 + 4*x^6 - 14*x^4 + x^2) - 2^(1/4)*(x^10 - 28*x^8 + 4*x^6 - 28*x^4 + x^2)) + 2^(5/8)*(x^17 - 6*x^15 - 220*x^13 + 26*x^11 - 446*x^9 + 26*x^7 - 220*x^5 - 6*x^3 + x) + 2*sqrt(x^6 + x^2)*(2^(7/8)*(x^13 - 11*x^11 - 79*x^9 - 16*x^7 - 79*x^5 - 11*x^3 + x) - 2^(3/8)*(x^13 - 22*x^11 - 79*x^9 - 32*x^7 - 79*x^5 - 22*x^3 + x)) - 4*(x^14 - 30*x^12 + 33*x^10 - 64*x^8 + 33*x^6 - 30*x^4 + x^2 - sqrt(2)*(x^14 - 15*x^12 + 33*x^10 - 32*x^8 + 33*x^6 - 15*x^4 + x^2))*(x^6 + x^2)^(1/4) - 2^(1/8)*(x^17 - 12*x^15 - 220*x^13 + 52*x^11 - 446*x^9 + 52*x^7 - 220*x^5 - 12*x^3 + x))*sqrt((3*2^(3/4)*(x^9 + x) + 4*(x^6 + x^2)^(3/4)*(2^(7/8)*(2*x^4 - 3*x^2 + 2) + 2^(3/8)*(3*x^4 - 4*x^2 + 3)) + 8*sqrt(x^6 + x^2)*(3*x^5 - 4*x^3 + sqrt(2)*(2*x^5 - 3*x^3 + 2*x) + 3*x) + 4*2^(1/4)*(x^9 + x) + 4*(x^6 + x^2)^(1/4)*(2^(5/8)*(3*x^6 - 4*x^4 + 3*x^2) + 2*2^(1/8)*(2*x^6 - 3*x^4 + 2*x^2)))/(x^9 + x)) + 2*(x^6 + x^2)^(1/4)*(2^(7/8)*(3*x^14 - 13*x^10 - 13*x^6 + 3*x^2) + 2*2^(3/8)*(41*x^12 + 80*x^8 + 41*x^4)) + x)/(x^17 - 384*x^13 - 766*x^9 - 384*x^5 + x)) + 1/4*2^(3/8)*arctan((x^17 + 64*x^13 + 130*x^9 + 64*x^5 - 2*(x^6 + x^2)^(3/4)*(2^(5/8)*(x^12 - 79*x^8 - 79*x^4 + 1) + 2*2^(1/8)*(11*x^10 + 16*x^6 + 11*x^2)) + 16*sqrt(2)*(x^15 + 5*x^11 + 5*x^7 + x^3) + 4*sqrt(x^6 + x^2)*(2^(3/4)*(15*x^11 + 32*x^7 + 15*x^3) + 2^(1/4)*(x^13 + 33*x^9 + 33*x^5 + x)) + (16*(x^6 + x^2)^(3/4)*(2^(3/4)*(x^10 - 14*x^8 + 4*x^6 - 14*x^4 + x^2) - 2^(1/4)*(x^10 - 28*x^8 + 4*x^6 - 28*x^4 + x^2)) - 2^(5/8)*(x^17 - 6*x^15 - 220*x^13 + 26*x^11 - 446*x^9 + 26*x^7 - 220*x^5 - 6*x^3 + x) - 2*sqrt(x^6 + x^2)*(2^(7/8)*(x^13 - 11*x^11 - 79*x^9 - 16*x^7 - 79*x^5 - 11*x^3 + x) - 2^(3/8)*(x^13 - 22*x^11 - 79*x^9 - 32*x^7 - 79*x^5 - 22*x^3 + x)) - 4*(x^14 - 30*x^12 + 33*x^10 - 64*x^8 + 33*x^6 - 30*x^4 + x^2 - sqrt(2)*(x^14 - 15*x^12 + 33*x^10 - 32*x^8 + 33*x^6 - 15*x^4 + x^2))*(x^6 + x^2)^(1/4) + 2^(1/8)*(x^17 - 12*x^15 - 220*x^13 + 52*x^11 - 446*x^9 + 52*x^7 - 220*x^5 - 12*x^3 + x))*sqrt((3*2^(3/4)*(x^9 + x) - 4*(x^6 + x^2)^(3/4)*(2^(7/8)*(2*x^4 - 3*x^2 + 2) + 2^(3/8)*(3*x^4 - 4*x^2 + 3)) + 8*sqrt(x^6 + x^2)*(3*x^5 - 4*x^3 + sqrt(2)*(2*x^5 - 3*x^3 + 2*x) + 3*x) + 4*2^(1/4)*(x^9 + x) - 4*(x^6 + x^2)^(1/4)*(2^(5/8)*(3*x^6 - 4*x^4 + 3*x^2) + 2*2^(1/8)*(2*x^6 - 3*x^4 + 2*x^2)))/(x^9 + x)) - 2*(x^6 + x^2)^(1/4)*(2^(7/8)*(3*x^14 - 13*x^10 - 13*x^6 + 3*x^2) + 2*2^(3/8)*(41*x^12 + 80*x^8 + 41*x^4)) + x)/(x^17 - 384*x^13 - 766*x^9 - 384*x^5 + x)) - 1/16*2^(3/8)*log(4*(3*2^(3/4)*(x^9 + x) + 4*(x^6 + x^2)^(3/4)*(2^(7/8)*(2*x^4 - 3*x^2 + 2) + 2^(3/8)*(3*x^4 - 4*x^2 + 3)) + 8*sqrt(x^6 + x^2)*(3*x^5 - 4*x^3 + sqrt(2)*(2*x^5 - 3*x^3 + 2*x) + 3*x) + 4*2^(1/4)*(x^9 + x) + 4*(x^6 + x^2)^(1/4)*(2^(5/8)*(3*x^6 - 4*x^4 + 3*x^2) + 2*2^(1/8)*(2*x^6 - 3*x^4 + 2*x^2)))/(x^9 + x)) + 1/16*2^(3/8)*log(4*(3*2^(3/4)*(x^9 + x) - 4*(x^6 + x^2)^(3/4)*(2^(7/8)*(2*x^4 - 3*x^2 + 2) + 2^(3/8)*(3*x^4 - 4*x^2 + 3)) + 8*sqrt(x^6 + x^2)*(3*x^5 - 4*x^3 + sqrt(2)*(2*x^5 - 3*x^3 + 2*x) + 3*x) + 4*2^(1/4)*(x^9 + x) - 4*(x^6 + x^2)^(1/4)*(2^(5/8)*(3*x^6 - 4*x^4 + 3*x^2) + 2*2^(1/8)*(2*x^6 - 3*x^4 + 2*x^2)))/(x^9 + x))","B",0
2196,1,2347,0,124.310945," ","integrate((x^8-1)/(x^6+x^2)^(1/4)/(x^8+1),x, algorithm=""fricas"")","-\frac{1}{4} \cdot 2^{\frac{7}{8}} \arctan\left(\frac{4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(2^{\frac{5}{8}} x^{2} + 2^{\frac{1}{8}} {\left(x^{4} + 1\right)}\right)} + {\left(2^{\frac{5}{8}} {\left(x^{9} + 4 \, x^{7} + 4 \, x^{5} + 4 \, x^{3} + x\right)} + 2 \, \sqrt{x^{6} + x^{2}} {\left(2^{\frac{7}{8}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 2 \cdot 2^{\frac{3}{8}} {\left(x^{5} + x^{3} + x\right)}\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(x^{9} + 2 \, x^{7} + 4 \, x^{5} + 2 \, x^{3} + x\right)}\right)} \sqrt{3 \cdot 2^{\frac{3}{4}} - 4 \cdot 2^{\frac{1}{4}}} + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(2^{\frac{7}{8}} x^{4} + 2^{\frac{3}{8}} {\left(x^{6} + x^{2}\right)}\right)}}{2 \, {\left(x^{9} + x\right)}}\right) - \frac{1}{16} \cdot 2^{\frac{7}{8}} \log\left(-\frac{2^{\frac{7}{8}} {\left(x^{9} - 2 \, x^{7} + 4 \, x^{5} - 2 \, x^{3} + x\right)} + 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(2 \, x^{4} - 2 \, x^{2} - \sqrt{2} {\left(x^{4} - 2 \, x^{2} + 1\right)} + 2\right)} - 2 \, \sqrt{x^{6} + x^{2}} {\left(2^{\frac{5}{8}} {\left(x^{5} - 2 \, x^{3} + x\right)} - 2 \cdot 2^{\frac{1}{8}} {\left(x^{5} - x^{3} + x\right)}\right)} - 2^{\frac{3}{8}} {\left(x^{9} - 4 \, x^{7} + 4 \, x^{5} - 4 \, x^{3} + x\right)} - 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(2^{\frac{3}{4}} {\left(x^{6} - 2 \, x^{4} + x^{2}\right)} - 2 \cdot 2^{\frac{1}{4}} {\left(x^{6} - x^{4} + x^{2}\right)}\right)}}{x^{9} + x}\right) + \frac{1}{16} \cdot 2^{\frac{7}{8}} \log\left(\frac{2^{\frac{7}{8}} {\left(x^{9} - 2 \, x^{7} + 4 \, x^{5} - 2 \, x^{3} + x\right)} - 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(2 \, x^{4} - 2 \, x^{2} - \sqrt{2} {\left(x^{4} - 2 \, x^{2} + 1\right)} + 2\right)} - 2 \, \sqrt{x^{6} + x^{2}} {\left(2^{\frac{5}{8}} {\left(x^{5} - 2 \, x^{3} + x\right)} - 2 \cdot 2^{\frac{1}{8}} {\left(x^{5} - x^{3} + x\right)}\right)} - 2^{\frac{3}{8}} {\left(x^{9} - 4 \, x^{7} + 4 \, x^{5} - 4 \, x^{3} + x\right)} + 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(2^{\frac{3}{4}} {\left(x^{6} - 2 \, x^{4} + x^{2}\right)} - 2 \cdot 2^{\frac{1}{4}} {\left(x^{6} - x^{4} + x^{2}\right)}\right)}}{x^{9} + x}\right) - \frac{1}{4} \cdot 2^{\frac{3}{8}} \arctan\left(\frac{x^{17} + 64 \, x^{13} + 130 \, x^{9} + 64 \, x^{5} + 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(2^{\frac{5}{8}} {\left(x^{12} - 79 \, x^{8} - 79 \, x^{4} + 1\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(11 \, x^{10} + 16 \, x^{6} + 11 \, x^{2}\right)}\right)} + 16 \, \sqrt{2} {\left(x^{15} + 5 \, x^{11} + 5 \, x^{7} + x^{3}\right)} + 4 \, \sqrt{x^{6} + x^{2}} {\left(2^{\frac{3}{4}} {\left(15 \, x^{11} + 32 \, x^{7} + 15 \, x^{3}\right)} + 2^{\frac{1}{4}} {\left(x^{13} + 33 \, x^{9} + 33 \, x^{5} + x\right)}\right)} + {\left(16 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(2^{\frac{3}{4}} {\left(x^{10} - 14 \, x^{8} + 4 \, x^{6} - 14 \, x^{4} + x^{2}\right)} - 2^{\frac{1}{4}} {\left(x^{10} - 28 \, x^{8} + 4 \, x^{6} - 28 \, x^{4} + x^{2}\right)}\right)} + 2^{\frac{5}{8}} {\left(x^{17} - 6 \, x^{15} - 220 \, x^{13} + 26 \, x^{11} - 446 \, x^{9} + 26 \, x^{7} - 220 \, x^{5} - 6 \, x^{3} + x\right)} + 2 \, \sqrt{x^{6} + x^{2}} {\left(2^{\frac{7}{8}} {\left(x^{13} - 11 \, x^{11} - 79 \, x^{9} - 16 \, x^{7} - 79 \, x^{5} - 11 \, x^{3} + x\right)} - 2^{\frac{3}{8}} {\left(x^{13} - 22 \, x^{11} - 79 \, x^{9} - 32 \, x^{7} - 79 \, x^{5} - 22 \, x^{3} + x\right)}\right)} - 4 \, {\left(x^{14} - 30 \, x^{12} + 33 \, x^{10} - 64 \, x^{8} + 33 \, x^{6} - 30 \, x^{4} + x^{2} - \sqrt{2} {\left(x^{14} - 15 \, x^{12} + 33 \, x^{10} - 32 \, x^{8} + 33 \, x^{6} - 15 \, x^{4} + x^{2}\right)}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} - 2^{\frac{1}{8}} {\left(x^{17} - 12 \, x^{15} - 220 \, x^{13} + 52 \, x^{11} - 446 \, x^{9} + 52 \, x^{7} - 220 \, x^{5} - 12 \, x^{3} + x\right)}\right)} \sqrt{\frac{3 \cdot 2^{\frac{3}{4}} {\left(x^{9} + x\right)} + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(2^{\frac{7}{8}} {\left(2 \, x^{4} - 3 \, x^{2} + 2\right)} + 2^{\frac{3}{8}} {\left(3 \, x^{4} - 4 \, x^{2} + 3\right)}\right)} + 8 \, \sqrt{x^{6} + x^{2}} {\left(3 \, x^{5} - 4 \, x^{3} + \sqrt{2} {\left(2 \, x^{5} - 3 \, x^{3} + 2 \, x\right)} + 3 \, x\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{9} + x\right)} + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(2^{\frac{5}{8}} {\left(3 \, x^{6} - 4 \, x^{4} + 3 \, x^{2}\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(2 \, x^{6} - 3 \, x^{4} + 2 \, x^{2}\right)}\right)}}{x^{9} + x}} + 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(2^{\frac{7}{8}} {\left(3 \, x^{14} - 13 \, x^{10} - 13 \, x^{6} + 3 \, x^{2}\right)} + 2 \cdot 2^{\frac{3}{8}} {\left(41 \, x^{12} + 80 \, x^{8} + 41 \, x^{4}\right)}\right)} + x}{x^{17} - 384 \, x^{13} - 766 \, x^{9} - 384 \, x^{5} + x}\right) + \frac{1}{4} \cdot 2^{\frac{3}{8}} \arctan\left(\frac{x^{17} + 64 \, x^{13} + 130 \, x^{9} + 64 \, x^{5} - 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(2^{\frac{5}{8}} {\left(x^{12} - 79 \, x^{8} - 79 \, x^{4} + 1\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(11 \, x^{10} + 16 \, x^{6} + 11 \, x^{2}\right)}\right)} + 16 \, \sqrt{2} {\left(x^{15} + 5 \, x^{11} + 5 \, x^{7} + x^{3}\right)} + 4 \, \sqrt{x^{6} + x^{2}} {\left(2^{\frac{3}{4}} {\left(15 \, x^{11} + 32 \, x^{7} + 15 \, x^{3}\right)} + 2^{\frac{1}{4}} {\left(x^{13} + 33 \, x^{9} + 33 \, x^{5} + x\right)}\right)} + {\left(16 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(2^{\frac{3}{4}} {\left(x^{10} - 14 \, x^{8} + 4 \, x^{6} - 14 \, x^{4} + x^{2}\right)} - 2^{\frac{1}{4}} {\left(x^{10} - 28 \, x^{8} + 4 \, x^{6} - 28 \, x^{4} + x^{2}\right)}\right)} - 2^{\frac{5}{8}} {\left(x^{17} - 6 \, x^{15} - 220 \, x^{13} + 26 \, x^{11} - 446 \, x^{9} + 26 \, x^{7} - 220 \, x^{5} - 6 \, x^{3} + x\right)} - 2 \, \sqrt{x^{6} + x^{2}} {\left(2^{\frac{7}{8}} {\left(x^{13} - 11 \, x^{11} - 79 \, x^{9} - 16 \, x^{7} - 79 \, x^{5} - 11 \, x^{3} + x\right)} - 2^{\frac{3}{8}} {\left(x^{13} - 22 \, x^{11} - 79 \, x^{9} - 32 \, x^{7} - 79 \, x^{5} - 22 \, x^{3} + x\right)}\right)} - 4 \, {\left(x^{14} - 30 \, x^{12} + 33 \, x^{10} - 64 \, x^{8} + 33 \, x^{6} - 30 \, x^{4} + x^{2} - \sqrt{2} {\left(x^{14} - 15 \, x^{12} + 33 \, x^{10} - 32 \, x^{8} + 33 \, x^{6} - 15 \, x^{4} + x^{2}\right)}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 2^{\frac{1}{8}} {\left(x^{17} - 12 \, x^{15} - 220 \, x^{13} + 52 \, x^{11} - 446 \, x^{9} + 52 \, x^{7} - 220 \, x^{5} - 12 \, x^{3} + x\right)}\right)} \sqrt{\frac{3 \cdot 2^{\frac{3}{4}} {\left(x^{9} + x\right)} - 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(2^{\frac{7}{8}} {\left(2 \, x^{4} - 3 \, x^{2} + 2\right)} + 2^{\frac{3}{8}} {\left(3 \, x^{4} - 4 \, x^{2} + 3\right)}\right)} + 8 \, \sqrt{x^{6} + x^{2}} {\left(3 \, x^{5} - 4 \, x^{3} + \sqrt{2} {\left(2 \, x^{5} - 3 \, x^{3} + 2 \, x\right)} + 3 \, x\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{9} + x\right)} - 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(2^{\frac{5}{8}} {\left(3 \, x^{6} - 4 \, x^{4} + 3 \, x^{2}\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(2 \, x^{6} - 3 \, x^{4} + 2 \, x^{2}\right)}\right)}}{x^{9} + x}} - 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(2^{\frac{7}{8}} {\left(3 \, x^{14} - 13 \, x^{10} - 13 \, x^{6} + 3 \, x^{2}\right)} + 2 \cdot 2^{\frac{3}{8}} {\left(41 \, x^{12} + 80 \, x^{8} + 41 \, x^{4}\right)}\right)} + x}{x^{17} - 384 \, x^{13} - 766 \, x^{9} - 384 \, x^{5} + x}\right) - \frac{1}{16} \cdot 2^{\frac{3}{8}} \log\left(\frac{4 \, {\left(3 \cdot 2^{\frac{3}{4}} {\left(x^{9} + x\right)} + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(2^{\frac{7}{8}} {\left(2 \, x^{4} - 3 \, x^{2} + 2\right)} + 2^{\frac{3}{8}} {\left(3 \, x^{4} - 4 \, x^{2} + 3\right)}\right)} + 8 \, \sqrt{x^{6} + x^{2}} {\left(3 \, x^{5} - 4 \, x^{3} + \sqrt{2} {\left(2 \, x^{5} - 3 \, x^{3} + 2 \, x\right)} + 3 \, x\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{9} + x\right)} + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(2^{\frac{5}{8}} {\left(3 \, x^{6} - 4 \, x^{4} + 3 \, x^{2}\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(2 \, x^{6} - 3 \, x^{4} + 2 \, x^{2}\right)}\right)}\right)}}{x^{9} + x}\right) + \frac{1}{16} \cdot 2^{\frac{3}{8}} \log\left(\frac{4 \, {\left(3 \cdot 2^{\frac{3}{4}} {\left(x^{9} + x\right)} - 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(2^{\frac{7}{8}} {\left(2 \, x^{4} - 3 \, x^{2} + 2\right)} + 2^{\frac{3}{8}} {\left(3 \, x^{4} - 4 \, x^{2} + 3\right)}\right)} + 8 \, \sqrt{x^{6} + x^{2}} {\left(3 \, x^{5} - 4 \, x^{3} + \sqrt{2} {\left(2 \, x^{5} - 3 \, x^{3} + 2 \, x\right)} + 3 \, x\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{9} + x\right)} - 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(2^{\frac{5}{8}} {\left(3 \, x^{6} - 4 \, x^{4} + 3 \, x^{2}\right)} + 2 \cdot 2^{\frac{1}{8}} {\left(2 \, x^{6} - 3 \, x^{4} + 2 \, x^{2}\right)}\right)}\right)}}{x^{9} + x}\right)"," ",0,"-1/4*2^(7/8)*arctan(1/2*(4*(x^6 + x^2)^(3/4)*(2^(5/8)*x^2 + 2^(1/8)*(x^4 + 1)) + (2^(5/8)*(x^9 + 4*x^7 + 4*x^5 + 4*x^3 + x) + 2*sqrt(x^6 + x^2)*(2^(7/8)*(x^5 + 2*x^3 + x) + 2*2^(3/8)*(x^5 + x^3 + x)) + 2*2^(1/8)*(x^9 + 2*x^7 + 4*x^5 + 2*x^3 + x))*sqrt(3*2^(3/4) - 4*2^(1/4)) + 4*(x^6 + x^2)^(1/4)*(2^(7/8)*x^4 + 2^(3/8)*(x^6 + x^2)))/(x^9 + x)) - 1/16*2^(7/8)*log(-(2^(7/8)*(x^9 - 2*x^7 + 4*x^5 - 2*x^3 + x) + 2*(x^6 + x^2)^(3/4)*(2*x^4 - 2*x^2 - sqrt(2)*(x^4 - 2*x^2 + 1) + 2) - 2*sqrt(x^6 + x^2)*(2^(5/8)*(x^5 - 2*x^3 + x) - 2*2^(1/8)*(x^5 - x^3 + x)) - 2^(3/8)*(x^9 - 4*x^7 + 4*x^5 - 4*x^3 + x) - 2*(x^6 + x^2)^(1/4)*(2^(3/4)*(x^6 - 2*x^4 + x^2) - 2*2^(1/4)*(x^6 - x^4 + x^2)))/(x^9 + x)) + 1/16*2^(7/8)*log((2^(7/8)*(x^9 - 2*x^7 + 4*x^5 - 2*x^3 + x) - 2*(x^6 + x^2)^(3/4)*(2*x^4 - 2*x^2 - sqrt(2)*(x^4 - 2*x^2 + 1) + 2) - 2*sqrt(x^6 + x^2)*(2^(5/8)*(x^5 - 2*x^3 + x) - 2*2^(1/8)*(x^5 - x^3 + x)) - 2^(3/8)*(x^9 - 4*x^7 + 4*x^5 - 4*x^3 + x) + 2*(x^6 + x^2)^(1/4)*(2^(3/4)*(x^6 - 2*x^4 + x^2) - 2*2^(1/4)*(x^6 - x^4 + x^2)))/(x^9 + x)) - 1/4*2^(3/8)*arctan((x^17 + 64*x^13 + 130*x^9 + 64*x^5 + 2*(x^6 + x^2)^(3/4)*(2^(5/8)*(x^12 - 79*x^8 - 79*x^4 + 1) + 2*2^(1/8)*(11*x^10 + 16*x^6 + 11*x^2)) + 16*sqrt(2)*(x^15 + 5*x^11 + 5*x^7 + x^3) + 4*sqrt(x^6 + x^2)*(2^(3/4)*(15*x^11 + 32*x^7 + 15*x^3) + 2^(1/4)*(x^13 + 33*x^9 + 33*x^5 + x)) + (16*(x^6 + x^2)^(3/4)*(2^(3/4)*(x^10 - 14*x^8 + 4*x^6 - 14*x^4 + x^2) - 2^(1/4)*(x^10 - 28*x^8 + 4*x^6 - 28*x^4 + x^2)) + 2^(5/8)*(x^17 - 6*x^15 - 220*x^13 + 26*x^11 - 446*x^9 + 26*x^7 - 220*x^5 - 6*x^3 + x) + 2*sqrt(x^6 + x^2)*(2^(7/8)*(x^13 - 11*x^11 - 79*x^9 - 16*x^7 - 79*x^5 - 11*x^3 + x) - 2^(3/8)*(x^13 - 22*x^11 - 79*x^9 - 32*x^7 - 79*x^5 - 22*x^3 + x)) - 4*(x^14 - 30*x^12 + 33*x^10 - 64*x^8 + 33*x^6 - 30*x^4 + x^2 - sqrt(2)*(x^14 - 15*x^12 + 33*x^10 - 32*x^8 + 33*x^6 - 15*x^4 + x^2))*(x^6 + x^2)^(1/4) - 2^(1/8)*(x^17 - 12*x^15 - 220*x^13 + 52*x^11 - 446*x^9 + 52*x^7 - 220*x^5 - 12*x^3 + x))*sqrt((3*2^(3/4)*(x^9 + x) + 4*(x^6 + x^2)^(3/4)*(2^(7/8)*(2*x^4 - 3*x^2 + 2) + 2^(3/8)*(3*x^4 - 4*x^2 + 3)) + 8*sqrt(x^6 + x^2)*(3*x^5 - 4*x^3 + sqrt(2)*(2*x^5 - 3*x^3 + 2*x) + 3*x) + 4*2^(1/4)*(x^9 + x) + 4*(x^6 + x^2)^(1/4)*(2^(5/8)*(3*x^6 - 4*x^4 + 3*x^2) + 2*2^(1/8)*(2*x^6 - 3*x^4 + 2*x^2)))/(x^9 + x)) + 2*(x^6 + x^2)^(1/4)*(2^(7/8)*(3*x^14 - 13*x^10 - 13*x^6 + 3*x^2) + 2*2^(3/8)*(41*x^12 + 80*x^8 + 41*x^4)) + x)/(x^17 - 384*x^13 - 766*x^9 - 384*x^5 + x)) + 1/4*2^(3/8)*arctan((x^17 + 64*x^13 + 130*x^9 + 64*x^5 - 2*(x^6 + x^2)^(3/4)*(2^(5/8)*(x^12 - 79*x^8 - 79*x^4 + 1) + 2*2^(1/8)*(11*x^10 + 16*x^6 + 11*x^2)) + 16*sqrt(2)*(x^15 + 5*x^11 + 5*x^7 + x^3) + 4*sqrt(x^6 + x^2)*(2^(3/4)*(15*x^11 + 32*x^7 + 15*x^3) + 2^(1/4)*(x^13 + 33*x^9 + 33*x^5 + x)) + (16*(x^6 + x^2)^(3/4)*(2^(3/4)*(x^10 - 14*x^8 + 4*x^6 - 14*x^4 + x^2) - 2^(1/4)*(x^10 - 28*x^8 + 4*x^6 - 28*x^4 + x^2)) - 2^(5/8)*(x^17 - 6*x^15 - 220*x^13 + 26*x^11 - 446*x^9 + 26*x^7 - 220*x^5 - 6*x^3 + x) - 2*sqrt(x^6 + x^2)*(2^(7/8)*(x^13 - 11*x^11 - 79*x^9 - 16*x^7 - 79*x^5 - 11*x^3 + x) - 2^(3/8)*(x^13 - 22*x^11 - 79*x^9 - 32*x^7 - 79*x^5 - 22*x^3 + x)) - 4*(x^14 - 30*x^12 + 33*x^10 - 64*x^8 + 33*x^6 - 30*x^4 + x^2 - sqrt(2)*(x^14 - 15*x^12 + 33*x^10 - 32*x^8 + 33*x^6 - 15*x^4 + x^2))*(x^6 + x^2)^(1/4) + 2^(1/8)*(x^17 - 12*x^15 - 220*x^13 + 52*x^11 - 446*x^9 + 52*x^7 - 220*x^5 - 12*x^3 + x))*sqrt((3*2^(3/4)*(x^9 + x) - 4*(x^6 + x^2)^(3/4)*(2^(7/8)*(2*x^4 - 3*x^2 + 2) + 2^(3/8)*(3*x^4 - 4*x^2 + 3)) + 8*sqrt(x^6 + x^2)*(3*x^5 - 4*x^3 + sqrt(2)*(2*x^5 - 3*x^3 + 2*x) + 3*x) + 4*2^(1/4)*(x^9 + x) - 4*(x^6 + x^2)^(1/4)*(2^(5/8)*(3*x^6 - 4*x^4 + 3*x^2) + 2*2^(1/8)*(2*x^6 - 3*x^4 + 2*x^2)))/(x^9 + x)) - 2*(x^6 + x^2)^(1/4)*(2^(7/8)*(3*x^14 - 13*x^10 - 13*x^6 + 3*x^2) + 2*2^(3/8)*(41*x^12 + 80*x^8 + 41*x^4)) + x)/(x^17 - 384*x^13 - 766*x^9 - 384*x^5 + x)) - 1/16*2^(3/8)*log(4*(3*2^(3/4)*(x^9 + x) + 4*(x^6 + x^2)^(3/4)*(2^(7/8)*(2*x^4 - 3*x^2 + 2) + 2^(3/8)*(3*x^4 - 4*x^2 + 3)) + 8*sqrt(x^6 + x^2)*(3*x^5 - 4*x^3 + sqrt(2)*(2*x^5 - 3*x^3 + 2*x) + 3*x) + 4*2^(1/4)*(x^9 + x) + 4*(x^6 + x^2)^(1/4)*(2^(5/8)*(3*x^6 - 4*x^4 + 3*x^2) + 2*2^(1/8)*(2*x^6 - 3*x^4 + 2*x^2)))/(x^9 + x)) + 1/16*2^(3/8)*log(4*(3*2^(3/4)*(x^9 + x) - 4*(x^6 + x^2)^(3/4)*(2^(7/8)*(2*x^4 - 3*x^2 + 2) + 2^(3/8)*(3*x^4 - 4*x^2 + 3)) + 8*sqrt(x^6 + x^2)*(3*x^5 - 4*x^3 + sqrt(2)*(2*x^5 - 3*x^3 + 2*x) + 3*x) + 4*2^(1/4)*(x^9 + x) - 4*(x^6 + x^2)^(1/4)*(2^(5/8)*(3*x^6 - 4*x^4 + 3*x^2) + 2*2^(1/8)*(2*x^6 - 3*x^4 + 2*x^2)))/(x^9 + x))","B",0
2197,-1,0,0,0.000000," ","integrate(x^5*(8-7*(1+k)*x+6*k*x^2)/((1-x)*x*(-k*x+1))^(2/3)/(-b+b*(1+k)*x-b*k*x^2+x^8),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2198,1,5282,0,1.791078," ","integrate((2*x^8-a*x^4-2*b)/(a*x^4-b)^(1/4)/(x^8-a*x^4-2*b),x, algorithm=""fricas"")","\sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \arctan\left(-\frac{{\left({\left({\left(3 \, a^{7} + 47 \, a^{5} b + 176 \, a^{3} b^{2} - 64 \, a b^{3}\right)} x \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}} + {\left(3 \, a^{6} + 38 \, a^{4} b + 116 \, a^{2} b^{2} + 32 \, b^{3}\right)} x\right)} \sqrt{\frac{\sqrt{\frac{1}{2}} {\left({\left(27 \, a^{14} b^{4} + 783 \, a^{12} b^{5} + 8496 \, a^{10} b^{6} + 41456 \, a^{8} b^{7} + 82552 \, a^{6} b^{8} + 33600 \, a^{4} b^{9} - 9728 \, a^{2} b^{10} - 4096 \, b^{11}\right)} x^{2} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}} + {\left(27 \, a^{13} b^{4} + 594 \, a^{11} b^{5} + 4860 \, a^{9} b^{6} + 18104 \, a^{7} b^{7} + 28944 \, a^{5} b^{8} + 13152 \, a^{3} b^{9} + 1792 \, a b^{10}\right)} x^{2}\right)} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}} + 16 \, {\left(9 \, a^{8} b^{6} + 84 \, a^{6} b^{7} + 220 \, a^{4} b^{8} + 112 \, a^{2} b^{9} + 16 \, b^{10}\right)} \sqrt{a x^{4} - b}}{x^{2}}} - 4 \, {\left(9 \, a^{10} b^{3} + 156 \, a^{8} b^{4} + 892 \, a^{6} b^{5} + 1872 \, a^{4} b^{6} + 912 \, a^{2} b^{7} + 128 \, b^{8} + {\left(9 \, a^{11} b^{3} + 183 \, a^{9} b^{4} + 1198 \, a^{7} b^{5} + 2460 \, a^{5} b^{6} - 192 \, a^{3} b^{7} - 256 \, a b^{8}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}}}{16 \, {\left(9 \, a^{8} b^{4} + 84 \, a^{6} b^{5} + 220 \, a^{4} b^{6} + 112 \, a^{2} b^{7} + 16 \, b^{8}\right)} x}\right) - \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \arctan\left(-\frac{{\left({\left(3 \, a^{7} + 47 \, a^{5} b + 176 \, a^{3} b^{2} - 64 \, a b^{3}\right)} x \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}} - {\left(3 \, a^{6} + 38 \, a^{4} b + 116 \, a^{2} b^{2} + 32 \, b^{3}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \sqrt{-\frac{\sqrt{\frac{1}{2}} {\left({\left(27 \, a^{14} b^{4} + 783 \, a^{12} b^{5} + 8496 \, a^{10} b^{6} + 41456 \, a^{8} b^{7} + 82552 \, a^{6} b^{8} + 33600 \, a^{4} b^{9} - 9728 \, a^{2} b^{10} - 4096 \, b^{11}\right)} x^{2} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}} - {\left(27 \, a^{13} b^{4} + 594 \, a^{11} b^{5} + 4860 \, a^{9} b^{6} + 18104 \, a^{7} b^{7} + 28944 \, a^{5} b^{8} + 13152 \, a^{3} b^{9} + 1792 \, a b^{10}\right)} x^{2}\right)} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}} - 16 \, {\left(9 \, a^{8} b^{6} + 84 \, a^{6} b^{7} + 220 \, a^{4} b^{8} + 112 \, a^{2} b^{9} + 16 \, b^{10}\right)} \sqrt{a x^{4} - b}}{x^{2}}} + 4 \, {\left(9 \, a^{10} b^{3} + 156 \, a^{8} b^{4} + 892 \, a^{6} b^{5} + 1872 \, a^{4} b^{6} + 912 \, a^{2} b^{7} + 128 \, b^{8} - {\left(9 \, a^{11} b^{3} + 183 \, a^{9} b^{4} + 1198 \, a^{7} b^{5} + 2460 \, a^{5} b^{6} - 192 \, a^{3} b^{7} - 256 \, a b^{8}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}}}{16 \, {\left(9 \, a^{8} b^{4} + 84 \, a^{6} b^{5} + 220 \, a^{4} b^{6} + 112 \, a^{2} b^{7} + 16 \, b^{8}\right)} x}\right) + \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \log\left(\frac{\sqrt{\frac{1}{2}} {\left({\left(9 \, a^{12} + 273 \, a^{10} b + 3100 \, a^{8} b^{2} + 15640 \, a^{6} b^{3} + 29760 \, a^{4} b^{4} + 512 \, a^{2} b^{5} - 4096 \, b^{6}\right)} x \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}} - {\left(9 \, a^{11} + 210 \, a^{9} b + 1756 \, a^{7} b^{2} + 6240 \, a^{5} b^{3} + 8448 \, a^{3} b^{4} + 2048 \, a b^{5}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}} + 32 \, {\left(3 \, a^{4} b^{3} + 14 \, a^{2} b^{4} + 4 \, b^{5}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{16 \, x}\right) - \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \log\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(9 \, a^{12} + 273 \, a^{10} b + 3100 \, a^{8} b^{2} + 15640 \, a^{6} b^{3} + 29760 \, a^{4} b^{4} + 512 \, a^{2} b^{5} - 4096 \, b^{6}\right)} x \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}} - {\left(9 \, a^{11} + 210 \, a^{9} b + 1756 \, a^{7} b^{2} + 6240 \, a^{5} b^{3} + 8448 \, a^{3} b^{4} + 2048 \, a b^{5}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} + {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}} - 32 \, {\left(3 \, a^{4} b^{3} + 14 \, a^{2} b^{4} + 4 \, b^{5}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{16 \, x}\right) - \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \log\left(\frac{\sqrt{\frac{1}{2}} {\left({\left(9 \, a^{12} + 273 \, a^{10} b + 3100 \, a^{8} b^{2} + 15640 \, a^{6} b^{3} + 29760 \, a^{4} b^{4} + 512 \, a^{2} b^{5} - 4096 \, b^{6}\right)} x \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}} + {\left(9 \, a^{11} + 210 \, a^{9} b + 1756 \, a^{7} b^{2} + 6240 \, a^{5} b^{3} + 8448 \, a^{3} b^{4} + 2048 \, a b^{5}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}} + 32 \, {\left(3 \, a^{4} b^{3} + 14 \, a^{2} b^{4} + 4 \, b^{5}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{16 \, x}\right) + \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \log\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(9 \, a^{12} + 273 \, a^{10} b + 3100 \, a^{8} b^{2} + 15640 \, a^{6} b^{3} + 29760 \, a^{4} b^{4} + 512 \, a^{2} b^{5} - 4096 \, b^{6}\right)} x \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}} + {\left(9 \, a^{11} + 210 \, a^{9} b + 1756 \, a^{7} b^{2} + 6240 \, a^{5} b^{3} + 8448 \, a^{3} b^{4} + 2048 \, a b^{5}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}}} \sqrt{\frac{3 \, a^{5} + 26 \, a^{3} b + 36 \, a b^{2} - {\left(3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}\right)} \sqrt{\frac{9 \, a^{8} + 84 \, a^{6} b + 220 \, a^{4} b^{2} + 112 \, a^{2} b^{3} + 16 \, b^{4}}{9 \, a^{10} + 210 \, a^{8} b + 1585 \, a^{6} b^{2} + 3480 \, a^{4} b^{3} - 2880 \, a^{2} b^{4} + 512 \, b^{5}}}}{3 \, a^{6} + 47 \, a^{4} b + 176 \, a^{2} b^{2} - 64 \, b^{3}}} - 32 \, {\left(3 \, a^{4} b^{3} + 14 \, a^{2} b^{4} + 4 \, b^{5}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{16 \, x}\right) + \frac{2 \, \arctan\left(\frac{\frac{x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} - b}}{x^{2}}}}{a^{\frac{1}{4}}} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}}{x}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}}"," ",0,"sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*arctan(-1/16*(((3*a^7 + 47*a^5*b + 176*a^3*b^2 - 64*a*b^3)*x*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)) + (3*a^6 + 38*a^4*b + 116*a^2*b^2 + 32*b^3)*x)*sqrt((sqrt(1/2)*((27*a^14*b^4 + 783*a^12*b^5 + 8496*a^10*b^6 + 41456*a^8*b^7 + 82552*a^6*b^8 + 33600*a^4*b^9 - 9728*a^2*b^10 - 4096*b^11)*x^2*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)) + (27*a^13*b^4 + 594*a^11*b^5 + 4860*a^9*b^6 + 18104*a^7*b^7 + 28944*a^5*b^8 + 13152*a^3*b^9 + 1792*a*b^10)*x^2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)) + 16*(9*a^8*b^6 + 84*a^6*b^7 + 220*a^4*b^8 + 112*a^2*b^9 + 16*b^10)*sqrt(a*x^4 - b))/x^2) - 4*(9*a^10*b^3 + 156*a^8*b^4 + 892*a^6*b^5 + 1872*a^4*b^6 + 912*a^2*b^7 + 128*b^8 + (9*a^11*b^3 + 183*a^9*b^4 + 1198*a^7*b^5 + 2460*a^5*b^6 - 192*a^3*b^7 - 256*a*b^8)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))*(a*x^4 - b)^(1/4))*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))/((9*a^8*b^4 + 84*a^6*b^5 + 220*a^4*b^6 + 112*a^2*b^7 + 16*b^8)*x)) - sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*arctan(-1/16*(((3*a^7 + 47*a^5*b + 176*a^3*b^2 - 64*a*b^3)*x*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)) - (3*a^6 + 38*a^4*b + 116*a^2*b^2 + 32*b^3)*x)*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*sqrt(-(sqrt(1/2)*((27*a^14*b^4 + 783*a^12*b^5 + 8496*a^10*b^6 + 41456*a^8*b^7 + 82552*a^6*b^8 + 33600*a^4*b^9 - 9728*a^2*b^10 - 4096*b^11)*x^2*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)) - (27*a^13*b^4 + 594*a^11*b^5 + 4860*a^9*b^6 + 18104*a^7*b^7 + 28944*a^5*b^8 + 13152*a^3*b^9 + 1792*a*b^10)*x^2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)) - 16*(9*a^8*b^6 + 84*a^6*b^7 + 220*a^4*b^8 + 112*a^2*b^9 + 16*b^10)*sqrt(a*x^4 - b))/x^2) + 4*(9*a^10*b^3 + 156*a^8*b^4 + 892*a^6*b^5 + 1872*a^4*b^6 + 912*a^2*b^7 + 128*b^8 - (9*a^11*b^3 + 183*a^9*b^4 + 1198*a^7*b^5 + 2460*a^5*b^6 - 192*a^3*b^7 - 256*a*b^8)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))*(a*x^4 - b)^(1/4)*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3))))/((9*a^8*b^4 + 84*a^6*b^5 + 220*a^4*b^6 + 112*a^2*b^7 + 16*b^8)*x)) + 1/4*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*log(1/16*(sqrt(1/2)*((9*a^12 + 273*a^10*b + 3100*a^8*b^2 + 15640*a^6*b^3 + 29760*a^4*b^4 + 512*a^2*b^5 - 4096*b^6)*x*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)) - (9*a^11 + 210*a^9*b + 1756*a^7*b^2 + 6240*a^5*b^3 + 8448*a^3*b^4 + 2048*a*b^5)*x)*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)) + 32*(3*a^4*b^3 + 14*a^2*b^4 + 4*b^5)*(a*x^4 - b)^(1/4))/x) - 1/4*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*log(-1/16*(sqrt(1/2)*((9*a^12 + 273*a^10*b + 3100*a^8*b^2 + 15640*a^6*b^3 + 29760*a^4*b^4 + 512*a^2*b^5 - 4096*b^6)*x*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)) - (9*a^11 + 210*a^9*b + 1756*a^7*b^2 + 6240*a^5*b^3 + 8448*a^3*b^4 + 2048*a*b^5)*x)*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 + (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)) - 32*(3*a^4*b^3 + 14*a^2*b^4 + 4*b^5)*(a*x^4 - b)^(1/4))/x) - 1/4*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*log(1/16*(sqrt(1/2)*((9*a^12 + 273*a^10*b + 3100*a^8*b^2 + 15640*a^6*b^3 + 29760*a^4*b^4 + 512*a^2*b^5 - 4096*b^6)*x*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)) + (9*a^11 + 210*a^9*b + 1756*a^7*b^2 + 6240*a^5*b^3 + 8448*a^3*b^4 + 2048*a*b^5)*x)*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)) + 32*(3*a^4*b^3 + 14*a^2*b^4 + 4*b^5)*(a*x^4 - b)^(1/4))/x) + 1/4*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*log(-1/16*(sqrt(1/2)*((9*a^12 + 273*a^10*b + 3100*a^8*b^2 + 15640*a^6*b^3 + 29760*a^4*b^4 + 512*a^2*b^5 - 4096*b^6)*x*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)) + (9*a^11 + 210*a^9*b + 1756*a^7*b^2 + 6240*a^5*b^3 + 8448*a^3*b^4 + 2048*a*b^5)*x)*sqrt(sqrt(1/2)*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)))*sqrt((3*a^5 + 26*a^3*b + 36*a*b^2 - (3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)*sqrt((9*a^8 + 84*a^6*b + 220*a^4*b^2 + 112*a^2*b^3 + 16*b^4)/(9*a^10 + 210*a^8*b + 1585*a^6*b^2 + 3480*a^4*b^3 - 2880*a^2*b^4 + 512*b^5)))/(3*a^6 + 47*a^4*b + 176*a^2*b^2 - 64*b^3)) - 32*(3*a^4*b^3 + 14*a^2*b^4 + 4*b^5)*(a*x^4 - b)^(1/4))/x) + 2*arctan((x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 - b))/x^2)/a^(1/4) - (a*x^4 - b)^(1/4)/a^(1/4))/x)/a^(1/4) + 1/2*log((a^(1/4)*x + (a*x^4 - b)^(1/4))/x)/a^(1/4) - 1/2*log(-(a^(1/4)*x - (a*x^4 - b)^(1/4))/x)/a^(1/4)","B",0
2199,1,280,0,99.874039," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/x^4,x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{\frac{1}{2}} a x^{3} \sqrt{-\frac{a}{b}} \log\left(-\frac{a^{2} x^{3} + 4 \, a b^{2} x - 4 \, \sqrt{a x^{2} + b^{2}} a b x + 4 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{a x^{2} + b^{2}} b^{2} \sqrt{-\frac{a}{b}} - \sqrt{\frac{1}{2}} {\left(a b x^{2} + 2 \, b^{3}\right)} \sqrt{-\frac{a}{b}}\right)} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{x^{3}}\right) - 2 \, {\left(3 \, a x^{2} + 10 \, b^{2} - 2 \, \sqrt{a x^{2} + b^{2}} b\right)} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{48 \, b^{2} x^{3}}, \frac{3 \, \sqrt{\frac{1}{2}} a x^{3} \sqrt{\frac{a}{b}} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{b + \sqrt{a x^{2} + b^{2}}} b \sqrt{\frac{a}{b}}}{a x}\right) - {\left(3 \, a x^{2} + 10 \, b^{2} - 2 \, \sqrt{a x^{2} + b^{2}} b\right)} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{24 \, b^{2} x^{3}}\right]"," ",0,"[1/48*(3*sqrt(1/2)*a*x^3*sqrt(-a/b)*log(-(a^2*x^3 + 4*a*b^2*x - 4*sqrt(a*x^2 + b^2)*a*b*x + 4*(2*sqrt(1/2)*sqrt(a*x^2 + b^2)*b^2*sqrt(-a/b) - sqrt(1/2)*(a*b*x^2 + 2*b^3)*sqrt(-a/b))*sqrt(b + sqrt(a*x^2 + b^2)))/x^3) - 2*(3*a*x^2 + 10*b^2 - 2*sqrt(a*x^2 + b^2)*b)*sqrt(b + sqrt(a*x^2 + b^2)))/(b^2*x^3), 1/24*(3*sqrt(1/2)*a*x^3*sqrt(a/b)*arctan(2*sqrt(1/2)*sqrt(b + sqrt(a*x^2 + b^2))*b*sqrt(a/b)/(a*x)) - (3*a*x^2 + 10*b^2 - 2*sqrt(a*x^2 + b^2)*b)*sqrt(b + sqrt(a*x^2 + b^2)))/(b^2*x^3)]","A",0
2200,1,280,0,148.078336," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/x^4/(a*x^2+b^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{15 \, \sqrt{\frac{1}{2}} a x^{3} \sqrt{-\frac{a}{b}} \log\left(-\frac{a^{2} x^{3} + 4 \, a b^{2} x - 4 \, \sqrt{a x^{2} + b^{2}} a b x - 4 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{a x^{2} + b^{2}} b^{2} \sqrt{-\frac{a}{b}} - \sqrt{\frac{1}{2}} {\left(a b x^{2} + 2 \, b^{3}\right)} \sqrt{-\frac{a}{b}}\right)} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{x^{3}}\right) + 2 \, {\left(15 \, a x^{2} + 2 \, b^{2} - 10 \, \sqrt{a x^{2} + b^{2}} b\right)} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{48 \, b^{3} x^{3}}, -\frac{15 \, \sqrt{\frac{1}{2}} a x^{3} \sqrt{\frac{a}{b}} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{b + \sqrt{a x^{2} + b^{2}}} b \sqrt{\frac{a}{b}}}{a x}\right) - {\left(15 \, a x^{2} + 2 \, b^{2} - 10 \, \sqrt{a x^{2} + b^{2}} b\right)} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{24 \, b^{3} x^{3}}\right]"," ",0,"[1/48*(15*sqrt(1/2)*a*x^3*sqrt(-a/b)*log(-(a^2*x^3 + 4*a*b^2*x - 4*sqrt(a*x^2 + b^2)*a*b*x - 4*(2*sqrt(1/2)*sqrt(a*x^2 + b^2)*b^2*sqrt(-a/b) - sqrt(1/2)*(a*b*x^2 + 2*b^3)*sqrt(-a/b))*sqrt(b + sqrt(a*x^2 + b^2)))/x^3) + 2*(15*a*x^2 + 2*b^2 - 10*sqrt(a*x^2 + b^2)*b)*sqrt(b + sqrt(a*x^2 + b^2)))/(b^3*x^3), -1/24*(15*sqrt(1/2)*a*x^3*sqrt(a/b)*arctan(2*sqrt(1/2)*sqrt(b + sqrt(a*x^2 + b^2))*b*sqrt(a/b)/(a*x)) - (15*a*x^2 + 2*b^2 - 10*sqrt(a*x^2 + b^2)*b)*sqrt(b + sqrt(a*x^2 + b^2)))/(b^3*x^3)]","A",0
2201,-2,0,0,0.000000," ","integrate(1/(x^3+x)^(1/3)/(x^6-1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
2202,-2,0,0,0.000000," ","integrate(1/(x^3+x)^(1/3)/(x^6-1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
2203,1,289,0,0.539574," ","integrate((x^3+1)*(x^6-x^3-2)^(1/2)/x^4/(x^6-2*x^3-1),x, algorithm=""fricas"")","-\frac{3 \, \sqrt{2} x^{3} \arctan\left(-\frac{1}{2} \, \sqrt{2} x^{3} + \frac{1}{2} \, \sqrt{2} \sqrt{x^{6} - x^{3} - 2}\right) - 4 \, x^{3} \sqrt{3 \, \sqrt{2} + 4} \arctan\left(\frac{1}{2} \, \sqrt{2 \, x^{6} - 3 \, x^{3} + \sqrt{2} {\left(2 \, x^{3} - 1\right)} - 2 \, \sqrt{x^{6} - x^{3} - 2} {\left(x^{3} + \sqrt{2} - 1\right)} + 1} \sqrt{3 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} - \frac{1}{2} \, {\left(2 \, x^{3} - \sqrt{2} {\left(x^{3} - 3\right)} + \sqrt{x^{6} - x^{3} - 2} {\left(\sqrt{2} - 2\right)} - 4\right)} \sqrt{3 \, \sqrt{2} + 4}\right) + x^{3} \sqrt{3 \, \sqrt{2} - 4} \log\left(-x^{3} + \sqrt{3 \, \sqrt{2} - 4} {\left(\sqrt{2} + 1\right)} + \sqrt{2} + \sqrt{x^{6} - x^{3} - 2} + 1\right) - x^{3} \sqrt{3 \, \sqrt{2} - 4} \log\left(-x^{3} - \sqrt{3 \, \sqrt{2} - 4} {\left(\sqrt{2} + 1\right)} + \sqrt{2} + \sqrt{x^{6} - x^{3} - 2} + 1\right) - 2 \, x^{3} - 2 \, \sqrt{x^{6} - x^{3} - 2}}{6 \, x^{3}}"," ",0,"-1/6*(3*sqrt(2)*x^3*arctan(-1/2*sqrt(2)*x^3 + 1/2*sqrt(2)*sqrt(x^6 - x^3 - 2)) - 4*x^3*sqrt(3*sqrt(2) + 4)*arctan(1/2*sqrt(2*x^6 - 3*x^3 + sqrt(2)*(2*x^3 - 1) - 2*sqrt(x^6 - x^3 - 2)*(x^3 + sqrt(2) - 1) + 1)*sqrt(3*sqrt(2) + 4)*(sqrt(2) - 2) - 1/2*(2*x^3 - sqrt(2)*(x^3 - 3) + sqrt(x^6 - x^3 - 2)*(sqrt(2) - 2) - 4)*sqrt(3*sqrt(2) + 4)) + x^3*sqrt(3*sqrt(2) - 4)*log(-x^3 + sqrt(3*sqrt(2) - 4)*(sqrt(2) + 1) + sqrt(2) + sqrt(x^6 - x^3 - 2) + 1) - x^3*sqrt(3*sqrt(2) - 4)*log(-x^3 - sqrt(3*sqrt(2) - 4)*(sqrt(2) + 1) + sqrt(2) + sqrt(x^6 - x^3 - 2) + 1) - 2*x^3 - 2*sqrt(x^6 - x^3 - 2))/x^3","B",0
2204,1,119,0,3.462265," ","integrate(x^2*(7*x^3-4)/(x^4-x)^(1/3)/(x^7-x^4-1),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{2 \, \sqrt{3} {\left(x^{4} - x\right)}^{\frac{2}{3}} x^{2} - 4 \, \sqrt{3} {\left(x^{4} - x\right)}^{\frac{1}{3}} x - \sqrt{3} {\left(x^{7} - x^{4}\right)}}{x^{7} - x^{4} + 8}\right) + \frac{1}{2} \, \log\left(\frac{x^{7} - x^{4} - 3 \, {\left(x^{4} - x\right)}^{\frac{2}{3}} x^{2} + 3 \, {\left(x^{4} - x\right)}^{\frac{1}{3}} x - 1}{x^{7} - x^{4} - 1}\right)"," ",0,"-sqrt(3)*arctan((2*sqrt(3)*(x^4 - x)^(2/3)*x^2 - 4*sqrt(3)*(x^4 - x)^(1/3)*x - sqrt(3)*(x^7 - x^4))/(x^7 - x^4 + 8)) + 1/2*log((x^7 - x^4 - 3*(x^4 - x)^(2/3)*x^2 + 3*(x^4 - x)^(1/3)*x - 1)/(x^7 - x^4 - 1))","A",0
2205,-1,0,0,0.000000," ","integrate((x^8+a*x^4)/(a*x^4-b*x^2)^(1/4)/(x^8+2*a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2206,-1,0,0,0.000000," ","integrate((x^8+a*x^4)/(a*x^4-b*x^2)^(1/4)/(x^8+2*a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2207,1,485,0,1.531667," ","integrate((-x^4+2*x^2+1)^(1/2)*(x^4-1)*(x^4+1)/(x^4-x^2-1)/(x^8-3*x^6-x^4+3*x^2+1),x, algorithm=""fricas"")","\frac{1}{10} \, \sqrt{10} \sqrt{\sqrt{5} + 1} \arctan\left(-\frac{2 \, \sqrt{10} {\left(5 \, x^{5} - 10 \, x^{3} - \sqrt{5} {\left(x^{5} - x\right)} - 5 \, x\right)} \sqrt{-x^{4} + 2 \, x^{2} + 1} \sqrt{\sqrt{5} + 1} - \sqrt{10} {\left(5 \, x^{8} - 25 \, x^{6} + 25 \, x^{4} + 25 \, x^{2} + \sqrt{5} {\left(x^{8} - 9 \, x^{6} + 13 \, x^{4} + 9 \, x^{2} + 1\right)} + 5\right)} \sqrt{\sqrt{5} + 1} \sqrt{\sqrt{5} - 2}}{20 \, {\left(x^{8} - 5 \, x^{6} + 3 \, x^{4} + 5 \, x^{2} + 1\right)}}\right) + \frac{1}{40} \, \sqrt{10} \sqrt{\sqrt{5} - 1} \log\left(\frac{\sqrt{10} {\left(5 \, x^{8} - 35 \, x^{6} + 45 \, x^{4} + 35 \, x^{2} + \sqrt{5} {\left(3 \, x^{8} - 17 \, x^{6} + 19 \, x^{4} + 17 \, x^{2} + 3\right)} + 5\right)} \sqrt{\sqrt{5} - 1} + 20 \, {\left(3 \, x^{5} - 7 \, x^{3} + \sqrt{5} {\left(x^{5} - 3 \, x^{3} - x\right)} - 3 \, x\right)} \sqrt{-x^{4} + 2 \, x^{2} + 1}}{x^{8} - 3 \, x^{6} - x^{4} + 3 \, x^{2} + 1}\right) - \frac{1}{40} \, \sqrt{10} \sqrt{\sqrt{5} - 1} \log\left(-\frac{\sqrt{10} {\left(5 \, x^{8} - 35 \, x^{6} + 45 \, x^{4} + 35 \, x^{2} + \sqrt{5} {\left(3 \, x^{8} - 17 \, x^{6} + 19 \, x^{4} + 17 \, x^{2} + 3\right)} + 5\right)} \sqrt{\sqrt{5} - 1} - 20 \, {\left(3 \, x^{5} - 7 \, x^{3} + \sqrt{5} {\left(x^{5} - 3 \, x^{3} - x\right)} - 3 \, x\right)} \sqrt{-x^{4} + 2 \, x^{2} + 1}}{x^{8} - 3 \, x^{6} - x^{4} + 3 \, x^{2} + 1}\right) + \frac{1}{2} \, \log\left(-\frac{x^{4} - 3 \, x^{2} - 2 \, \sqrt{-x^{4} + 2 \, x^{2} + 1} x - 1}{x^{4} - x^{2} - 1}\right)"," ",0,"1/10*sqrt(10)*sqrt(sqrt(5) + 1)*arctan(-1/20*(2*sqrt(10)*(5*x^5 - 10*x^3 - sqrt(5)*(x^5 - x) - 5*x)*sqrt(-x^4 + 2*x^2 + 1)*sqrt(sqrt(5) + 1) - sqrt(10)*(5*x^8 - 25*x^6 + 25*x^4 + 25*x^2 + sqrt(5)*(x^8 - 9*x^6 + 13*x^4 + 9*x^2 + 1) + 5)*sqrt(sqrt(5) + 1)*sqrt(sqrt(5) - 2))/(x^8 - 5*x^6 + 3*x^4 + 5*x^2 + 1)) + 1/40*sqrt(10)*sqrt(sqrt(5) - 1)*log((sqrt(10)*(5*x^8 - 35*x^6 + 45*x^4 + 35*x^2 + sqrt(5)*(3*x^8 - 17*x^6 + 19*x^4 + 17*x^2 + 3) + 5)*sqrt(sqrt(5) - 1) + 20*(3*x^5 - 7*x^3 + sqrt(5)*(x^5 - 3*x^3 - x) - 3*x)*sqrt(-x^4 + 2*x^2 + 1))/(x^8 - 3*x^6 - x^4 + 3*x^2 + 1)) - 1/40*sqrt(10)*sqrt(sqrt(5) - 1)*log(-(sqrt(10)*(5*x^8 - 35*x^6 + 45*x^4 + 35*x^2 + sqrt(5)*(3*x^8 - 17*x^6 + 19*x^4 + 17*x^2 + 3) + 5)*sqrt(sqrt(5) - 1) - 20*(3*x^5 - 7*x^3 + sqrt(5)*(x^5 - 3*x^3 - x) - 3*x)*sqrt(-x^4 + 2*x^2 + 1))/(x^8 - 3*x^6 - x^4 + 3*x^2 + 1)) + 1/2*log(-(x^4 - 3*x^2 - 2*sqrt(-x^4 + 2*x^2 + 1)*x - 1)/(x^4 - x^2 - 1))","B",0
2208,1,251,0,0.575690," ","integrate(1/(x^2-1)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-2 \, \sqrt{\sqrt{2} + 1} \arctan\left(\sqrt{x + \sqrt{2} + \sqrt{x^{2} + 1} - 1} \sqrt{\sqrt{2} + 1} - \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{2} + 1}\right) + 2 \, \sqrt{\sqrt{2} - 1} \arctan\left(\sqrt{x + \sqrt{2} + \sqrt{x^{2} + 1} + 1} \sqrt{\sqrt{2} - 1} - \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{2} - 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} - 1} \log\left({\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + \sqrt{x + \sqrt{x^{2} + 1}}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} \log\left(-{\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + \sqrt{x + \sqrt{x^{2} + 1}}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} + 1} \log\left(\sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} + \sqrt{x + \sqrt{x^{2} + 1}}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} \log\left(-\sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} + \sqrt{x + \sqrt{x^{2} + 1}}\right)"," ",0,"-2*sqrt(sqrt(2) + 1)*arctan(sqrt(x + sqrt(2) + sqrt(x^2 + 1) - 1)*sqrt(sqrt(2) + 1) - sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(2) + 1)) + 2*sqrt(sqrt(2) - 1)*arctan(sqrt(x + sqrt(2) + sqrt(x^2 + 1) + 1)*sqrt(sqrt(2) - 1) - sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(2) - 1)) - 1/2*sqrt(sqrt(2) - 1)*log((sqrt(2) + 1)*sqrt(sqrt(2) - 1) + sqrt(x + sqrt(x^2 + 1))) + 1/2*sqrt(sqrt(2) - 1)*log(-(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + sqrt(x + sqrt(x^2 + 1))) + 1/2*sqrt(sqrt(2) + 1)*log(sqrt(sqrt(2) + 1)*(sqrt(2) - 1) + sqrt(x + sqrt(x^2 + 1))) - 1/2*sqrt(sqrt(2) + 1)*log(-sqrt(sqrt(2) + 1)*(sqrt(2) - 1) + sqrt(x + sqrt(x^2 + 1)))","B",0
2209,1,168,0,15.206422," ","integrate((-a/b^2+a^2*x^2/b^2)^(1/2)/(a*x^2+b*x*(-a/b^2+a^2*x^2/b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{4 \, {\left(2 \, a x^{2} - 2 \, b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}} - 3\right)} \sqrt{a x^{2} + b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}}} - 5 \, \sqrt{2} \log\left(4 \, a x^{2} - 4 \, b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}} - 2 \, \sqrt{a x^{2} + b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}}} {\left(2 \, \sqrt{2} b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}} - \sqrt{2} {\left(2 \, a x^{2} - 1\right)}\right)} - 1\right)}{16 \, b}"," ",0,"-1/16*(4*(2*a*x^2 - 2*b*x*sqrt((a^2*x^2 - a)/b^2) - 3)*sqrt(a*x^2 + b*x*sqrt((a^2*x^2 - a)/b^2)) - 5*sqrt(2)*log(4*a*x^2 - 4*b*x*sqrt((a^2*x^2 - a)/b^2) - 2*sqrt(a*x^2 + b*x*sqrt((a^2*x^2 - a)/b^2))*(2*sqrt(2)*b*x*sqrt((a^2*x^2 - a)/b^2) - sqrt(2)*(2*a*x^2 - 1)) - 1))/b","A",0
2210,1,168,0,21.291504," ","integrate((-a/b^2+a^2*x^2/b^2)^(1/2)*(a*x^2+b*x*(-a/b^2+a^2*x^2/b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{4 \, {\left(2 \, a x^{2} - 10 \, b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}} + 9\right)} \sqrt{a x^{2} + b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}}} - 9 \, \sqrt{2} \log\left(4 \, a x^{2} - 4 \, b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}} - 2 \, \sqrt{a x^{2} + b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}}} {\left(2 \, \sqrt{2} b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}} - \sqrt{2} {\left(2 \, a x^{2} - 1\right)}\right)} - 1\right)}{96 \, b}"," ",0,"-1/96*(4*(2*a*x^2 - 10*b*x*sqrt((a^2*x^2 - a)/b^2) + 9)*sqrt(a*x^2 + b*x*sqrt((a^2*x^2 - a)/b^2)) - 9*sqrt(2)*log(4*a*x^2 - 4*b*x*sqrt((a^2*x^2 - a)/b^2) - 2*sqrt(a*x^2 + b*x*sqrt((a^2*x^2 - a)/b^2))*(2*sqrt(2)*b*x*sqrt((a^2*x^2 - a)/b^2) - sqrt(2)*(2*a*x^2 - 1)) - 1))/b","A",0
2211,1,424,0,12.523207," ","integrate((-3+x)*(-2+x)*(2*x^3-x+2)^(2/3)/x^6/(2*x^3+x-2),x, algorithm=""fricas"")","-\frac{20 \, \sqrt{3} 2^{\frac{1}{3}} x^{5} \arctan\left(\frac{6 \, \sqrt{3} 2^{\frac{2}{3}} {\left(20 \, x^{7} + 8 \, x^{5} - 16 \, x^{4} - x^{3} + 4 \, x^{2} - 4 \, x\right)} {\left(2 \, x^{3} - x + 2\right)}^{\frac{2}{3}} - 12 \, \sqrt{3} 2^{\frac{1}{3}} {\left(76 \, x^{8} - 32 \, x^{6} + 64 \, x^{5} + x^{4} - 4 \, x^{3} + 4 \, x^{2}\right)} {\left(2 \, x^{3} - x + 2\right)}^{\frac{1}{3}} - \sqrt{3} {\left(568 \, x^{9} - 444 \, x^{7} + 888 \, x^{6} + 66 \, x^{5} - 264 \, x^{4} + 263 \, x^{3} + 6 \, x^{2} - 12 \, x + 8\right)}}{3 \, {\left(872 \, x^{9} - 420 \, x^{7} + 840 \, x^{6} + 6 \, x^{5} - 24 \, x^{4} + 25 \, x^{3} - 6 \, x^{2} + 12 \, x - 8\right)}}\right) - 20 \cdot 2^{\frac{1}{3}} x^{5} \log\left(-\frac{6 \cdot 2^{\frac{2}{3}} {\left(2 \, x^{3} - x + 2\right)}^{\frac{1}{3}} x^{2} - 6 \, {\left(2 \, x^{3} - x + 2\right)}^{\frac{2}{3}} x - 2^{\frac{1}{3}} {\left(2 \, x^{3} + x - 2\right)}}{2 \, x^{3} + x - 2}\right) + 10 \cdot 2^{\frac{1}{3}} x^{5} \log\left(\frac{6 \cdot 2^{\frac{1}{3}} {\left(10 \, x^{4} - x^{2} + 2 \, x\right)} {\left(2 \, x^{3} - x + 2\right)}^{\frac{2}{3}} + 2^{\frac{2}{3}} {\left(76 \, x^{6} - 32 \, x^{4} + 64 \, x^{3} + x^{2} - 4 \, x + 4\right)} + 24 \, {\left(4 \, x^{5} - x^{3} + 2 \, x^{2}\right)} {\left(2 \, x^{3} - x + 2\right)}^{\frac{1}{3}}}{4 \, x^{6} + 4 \, x^{4} - 8 \, x^{3} + x^{2} - 4 \, x + 4}\right) - 9 \, {\left(7 \, x^{3} - x + 2\right)} {\left(2 \, x^{3} - x + 2\right)}^{\frac{2}{3}}}{30 \, x^{5}}"," ",0,"-1/30*(20*sqrt(3)*2^(1/3)*x^5*arctan(1/3*(6*sqrt(3)*2^(2/3)*(20*x^7 + 8*x^5 - 16*x^4 - x^3 + 4*x^2 - 4*x)*(2*x^3 - x + 2)^(2/3) - 12*sqrt(3)*2^(1/3)*(76*x^8 - 32*x^6 + 64*x^5 + x^4 - 4*x^3 + 4*x^2)*(2*x^3 - x + 2)^(1/3) - sqrt(3)*(568*x^9 - 444*x^7 + 888*x^6 + 66*x^5 - 264*x^4 + 263*x^3 + 6*x^2 - 12*x + 8))/(872*x^9 - 420*x^7 + 840*x^6 + 6*x^5 - 24*x^4 + 25*x^3 - 6*x^2 + 12*x - 8)) - 20*2^(1/3)*x^5*log(-(6*2^(2/3)*(2*x^3 - x + 2)^(1/3)*x^2 - 6*(2*x^3 - x + 2)^(2/3)*x - 2^(1/3)*(2*x^3 + x - 2))/(2*x^3 + x - 2)) + 10*2^(1/3)*x^5*log((6*2^(1/3)*(10*x^4 - x^2 + 2*x)*(2*x^3 - x + 2)^(2/3) + 2^(2/3)*(76*x^6 - 32*x^4 + 64*x^3 + x^2 - 4*x + 4) + 24*(4*x^5 - x^3 + 2*x^2)*(2*x^3 - x + 2)^(1/3))/(4*x^6 + 4*x^4 - 8*x^3 + x^2 - 4*x + 4)) - 9*(7*x^3 - x + 2)*(2*x^3 - x + 2)^(2/3))/x^5","B",0
2212,1,253,0,3.002089," ","integrate((x^3+1)^(2/3)*(x^3+2)/x^6/(x^6-x^3-2),x, algorithm=""fricas"")","\frac{10 \cdot 12^{\frac{2}{3}} x^{5} \log\left(\frac{18 \cdot 12^{\frac{1}{3}} {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 12^{\frac{2}{3}} {\left(x^{3} - 2\right)} - 36 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} x}{x^{3} - 2}\right) - 5 \cdot 12^{\frac{2}{3}} x^{5} \log\left(\frac{6 \cdot 12^{\frac{2}{3}} {\left(4 \, x^{4} + x\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}} + 12^{\frac{1}{3}} {\left(55 \, x^{6} + 50 \, x^{3} + 4\right)} + 18 \, {\left(7 \, x^{5} + 4 \, x^{2}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x^{6} - 4 \, x^{3} + 4}\right) - 60 \cdot 12^{\frac{1}{6}} x^{5} \arctan\left(\frac{12^{\frac{1}{6}} {\left(12 \cdot 12^{\frac{2}{3}} {\left(4 \, x^{7} - 7 \, x^{4} - 2 \, x\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}} - 12^{\frac{1}{3}} {\left(377 \, x^{9} + 600 \, x^{6} + 204 \, x^{3} + 8\right)} - 36 \, {\left(55 \, x^{8} + 50 \, x^{5} + 4 \, x^{2}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}}\right)}}{6 \, {\left(487 \, x^{9} + 480 \, x^{6} + 12 \, x^{3} - 8\right)}}\right) + 216 \, {\left(x^{3} + 1\right)}^{\frac{5}{3}}}{1080 \, x^{5}}"," ",0,"1/1080*(10*12^(2/3)*x^5*log((18*12^(1/3)*(x^3 + 1)^(1/3)*x^2 - 12^(2/3)*(x^3 - 2) - 36*(x^3 + 1)^(2/3)*x)/(x^3 - 2)) - 5*12^(2/3)*x^5*log((6*12^(2/3)*(4*x^4 + x)*(x^3 + 1)^(2/3) + 12^(1/3)*(55*x^6 + 50*x^3 + 4) + 18*(7*x^5 + 4*x^2)*(x^3 + 1)^(1/3))/(x^6 - 4*x^3 + 4)) - 60*12^(1/6)*x^5*arctan(1/6*12^(1/6)*(12*12^(2/3)*(4*x^7 - 7*x^4 - 2*x)*(x^3 + 1)^(2/3) - 12^(1/3)*(377*x^9 + 600*x^6 + 204*x^3 + 8) - 36*(55*x^8 + 50*x^5 + 4*x^2)*(x^3 + 1)^(1/3))/(487*x^9 + 480*x^6 + 12*x^3 - 8)) + 216*(x^3 + 1)^(5/3))/x^5","B",0
2213,-2,0,0,0.000000," ","integrate((a*x^6+b)/(x^3+x)^(1/3)/(c*x^6+d),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
2214,-2,0,0,0.000000," ","integrate((a*x^6+b)/(x^3+x)^(1/3)/(c*x^6+d),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
2215,1,165,0,2.425396," ","integrate(1/(2+x)/(x^2+x+1)^(1/3),x, algorithm=""fricas"")","-\frac{1}{18} \cdot 3^{\frac{2}{3}} \log\left(\frac{3 \cdot 3^{\frac{2}{3}} {\left(x^{2} + x + 1\right)}^{\frac{2}{3}} + 3^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 1\right)} - 3 \, {\left(x^{2} + x + 1\right)}^{\frac{1}{3}} {\left(x - 1\right)}}{x^{2} + 4 \, x + 4}\right) + \frac{1}{9} \cdot 3^{\frac{2}{3}} \log\left(\frac{3^{\frac{1}{3}} {\left(x - 1\right)} + 3 \, {\left(x^{2} + x + 1\right)}^{\frac{1}{3}}}{x + 2}\right) - \frac{1}{3} \cdot 3^{\frac{1}{6}} \arctan\left(\frac{3^{\frac{1}{6}} {\left(6 \cdot 3^{\frac{2}{3}} {\left(x^{2} + x + 1\right)}^{\frac{2}{3}} {\left(x - 1\right)} + 3^{\frac{1}{3}} {\left(x^{3} + 6 \, x^{2} + 12 \, x + 8\right)} + 6 \, {\left(x^{2} + x + 1\right)}^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 1\right)}\right)}}{3 \, {\left(x^{3} - 12 \, x^{2} - 6 \, x - 10\right)}}\right)"," ",0,"-1/18*3^(2/3)*log((3*3^(2/3)*(x^2 + x + 1)^(2/3) + 3^(1/3)*(x^2 - 2*x + 1) - 3*(x^2 + x + 1)^(1/3)*(x - 1))/(x^2 + 4*x + 4)) + 1/9*3^(2/3)*log((3^(1/3)*(x - 1) + 3*(x^2 + x + 1)^(1/3))/(x + 2)) - 1/3*3^(1/6)*arctan(1/3*3^(1/6)*(6*3^(2/3)*(x^2 + x + 1)^(2/3)*(x - 1) + 3^(1/3)*(x^3 + 6*x^2 + 12*x + 8) + 6*(x^2 + x + 1)^(1/3)*(x^2 - 2*x + 1))/(x^3 - 12*x^2 - 6*x - 10))","A",0
2216,1,406,0,14.275523," ","integrate((-3+2*x)*(x^3+x-1)^(1/3)/x^2/(x^3-2*x+2),x, algorithm=""fricas"")","\frac{2 \cdot 3^{\frac{5}{6}} 2^{\frac{2}{3}} x \arctan\left(\frac{\sqrt{3} 2^{\frac{1}{6}} {\left(24 \cdot 3^{\frac{1}{3}} \sqrt{2} {\left(4 \, x^{7} - 7 \, x^{5} + 7 \, x^{4} - 2 \, x^{3} + 4 \, x^{2} - 2 \, x\right)} {\left(x^{3} + x - 1\right)}^{\frac{2}{3}} - 12 \cdot 3^{\frac{2}{3}} 2^{\frac{1}{6}} {\left(55 \, x^{8} + 50 \, x^{6} - 50 \, x^{5} + 4 \, x^{4} - 8 \, x^{3} + 4 \, x^{2}\right)} {\left(x^{3} + x - 1\right)}^{\frac{1}{3}} - 2^{\frac{5}{6}} {\left(377 \, x^{9} + 600 \, x^{7} - 600 \, x^{6} + 204 \, x^{5} - 408 \, x^{4} + 212 \, x^{3} - 24 \, x^{2} + 24 \, x - 8\right)}\right)}}{6 \, {\left(487 \, x^{9} + 480 \, x^{7} - 480 \, x^{6} + 12 \, x^{5} - 24 \, x^{4} + 4 \, x^{3} + 24 \, x^{2} - 24 \, x + 8\right)}}\right) + 2 \cdot 3^{\frac{1}{3}} 2^{\frac{2}{3}} x \log\left(-\frac{9 \cdot 3^{\frac{1}{3}} 2^{\frac{2}{3}} {\left(x^{3} + x - 1\right)}^{\frac{1}{3}} x^{2} - 3^{\frac{2}{3}} 2^{\frac{1}{3}} {\left(x^{3} - 2 \, x + 2\right)} - 18 \, {\left(x^{3} + x - 1\right)}^{\frac{2}{3}} x}{x^{3} - 2 \, x + 2}\right) - 3^{\frac{1}{3}} 2^{\frac{2}{3}} x \log\left(\frac{12 \cdot 3^{\frac{2}{3}} 2^{\frac{1}{3}} {\left(4 \, x^{4} + x^{2} - x\right)} {\left(x^{3} + x - 1\right)}^{\frac{2}{3}} + 3^{\frac{1}{3}} 2^{\frac{2}{3}} {\left(55 \, x^{6} + 50 \, x^{4} - 50 \, x^{3} + 4 \, x^{2} - 8 \, x + 4\right)} + 18 \, {\left(7 \, x^{5} + 4 \, x^{3} - 4 \, x^{2}\right)} {\left(x^{3} + x - 1\right)}^{\frac{1}{3}}}{x^{6} - 4 \, x^{4} + 4 \, x^{3} + 4 \, x^{2} - 8 \, x + 4}\right) + 36 \, {\left(x^{3} + x - 1\right)}^{\frac{1}{3}}}{24 \, x}"," ",0,"1/24*(2*3^(5/6)*2^(2/3)*x*arctan(1/6*sqrt(3)*2^(1/6)*(24*3^(1/3)*sqrt(2)*(4*x^7 - 7*x^5 + 7*x^4 - 2*x^3 + 4*x^2 - 2*x)*(x^3 + x - 1)^(2/3) - 12*3^(2/3)*2^(1/6)*(55*x^8 + 50*x^6 - 50*x^5 + 4*x^4 - 8*x^3 + 4*x^2)*(x^3 + x - 1)^(1/3) - 2^(5/6)*(377*x^9 + 600*x^7 - 600*x^6 + 204*x^5 - 408*x^4 + 212*x^3 - 24*x^2 + 24*x - 8))/(487*x^9 + 480*x^7 - 480*x^6 + 12*x^5 - 24*x^4 + 4*x^3 + 24*x^2 - 24*x + 8)) + 2*3^(1/3)*2^(2/3)*x*log(-(9*3^(1/3)*2^(2/3)*(x^3 + x - 1)^(1/3)*x^2 - 3^(2/3)*2^(1/3)*(x^3 - 2*x + 2) - 18*(x^3 + x - 1)^(2/3)*x)/(x^3 - 2*x + 2)) - 3^(1/3)*2^(2/3)*x*log((12*3^(2/3)*2^(1/3)*(4*x^4 + x^2 - x)*(x^3 + x - 1)^(2/3) + 3^(1/3)*2^(2/3)*(55*x^6 + 50*x^4 - 50*x^3 + 4*x^2 - 8*x + 4) + 18*(7*x^5 + 4*x^3 - 4*x^2)*(x^3 + x - 1)^(1/3))/(x^6 - 4*x^4 + 4*x^3 + 4*x^2 - 8*x + 4)) + 36*(x^3 + x - 1)^(1/3))/x","B",0
2217,-1,0,0,0.000000," ","integrate((-(2*a-b)*b^2+(4*a-b)*b*x-(2*a+b)*x^2+x^3)/(-a+x)/((-a+x)*(-b+x)^2)^(1/4)/(b^2+a*d-(2*b+d)*x+x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2218,-1,0,0,0.000000," ","integrate(x^4/(a*x^4+b)^2/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2219,-1,0,0,0.000000," ","integrate(x^4/(a*x^4+b)^2/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2220,-1,0,0,0.000000," ","integrate(x^4/(a*x^4+b)^2/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2221,1,429,0,75.870785," ","integrate((a*x^4-b)*(a*x^4+b)^(3/4)/x^8/(2*a*x^4+b),x, algorithm=""fricas"")","\frac{84 \, \left(-\frac{a^{7}}{b^{4}}\right)^{\frac{1}{4}} b x^{7} \arctan\left(\frac{{\left(\left(-\frac{a^{7}}{b^{4}}\right)^{\frac{3}{4}} a^{5} b^{3} x^{2} + \sqrt{\frac{a^{10}}{b^{2}}} \left(-\frac{a^{7}}{b^{4}}\right)^{\frac{3}{4}} b^{4} x^{2}\right)} {\left(a x^{4} + b\right)}^{\frac{3}{4}} - {\left(a x^{4} + b\right)}^{\frac{1}{4}} {\left({\left(a^{4} b^{2} x^{4} + a^{3} b^{3}\right)} \sqrt{\frac{a^{10}}{b^{2}}} \left(-\frac{a^{7}}{b^{4}}\right)^{\frac{1}{4}} - {\left(a^{9} b x^{4} + a^{8} b^{2}\right)} \left(-\frac{a^{7}}{b^{4}}\right)^{\frac{1}{4}}\right)}}{2 \, {\left(a^{11} x^{5} + a^{10} b x\right)}}\right) - 21 \, \left(-\frac{a^{7}}{b^{4}}\right)^{\frac{1}{4}} b x^{7} \log\left(-\frac{27 \, {\left(2 \, {\left(a x^{4} + b\right)}^{\frac{1}{4}} \left(-\frac{a^{7}}{b^{4}}\right)^{\frac{1}{4}} a^{4} x^{3} + 2 \, \sqrt{a x^{4} + b} \sqrt{-\frac{a^{7}}{b^{4}}} a^{2} b x^{2} - a^{5} + 2 \, {\left(a x^{4} + b\right)}^{\frac{3}{4}} \left(-\frac{a^{7}}{b^{4}}\right)^{\frac{3}{4}} b^{2} x\right)}}{2 \, a x^{4} + b}\right) + 21 \, \left(-\frac{a^{7}}{b^{4}}\right)^{\frac{1}{4}} b x^{7} \log\left(\frac{27 \, {\left(2 \, {\left(a x^{4} + b\right)}^{\frac{1}{4}} \left(-\frac{a^{7}}{b^{4}}\right)^{\frac{1}{4}} a^{4} x^{3} - 2 \, \sqrt{a x^{4} + b} \sqrt{-\frac{a^{7}}{b^{4}}} a^{2} b x^{2} + a^{5} + 2 \, {\left(a x^{4} + b\right)}^{\frac{3}{4}} \left(-\frac{a^{7}}{b^{4}}\right)^{\frac{3}{4}} b^{2} x\right)}}{2 \, a x^{4} + b}\right) - 8 \, {\left(6 \, a x^{4} - b\right)} {\left(a x^{4} + b\right)}^{\frac{3}{4}}}{56 \, b x^{7}}"," ",0,"1/56*(84*(-a^7/b^4)^(1/4)*b*x^7*arctan(1/2*(((-a^7/b^4)^(3/4)*a^5*b^3*x^2 + sqrt(a^10/b^2)*(-a^7/b^4)^(3/4)*b^4*x^2)*(a*x^4 + b)^(3/4) - (a*x^4 + b)^(1/4)*((a^4*b^2*x^4 + a^3*b^3)*sqrt(a^10/b^2)*(-a^7/b^4)^(1/4) - (a^9*b*x^4 + a^8*b^2)*(-a^7/b^4)^(1/4)))/(a^11*x^5 + a^10*b*x)) - 21*(-a^7/b^4)^(1/4)*b*x^7*log(-27*(2*(a*x^4 + b)^(1/4)*(-a^7/b^4)^(1/4)*a^4*x^3 + 2*sqrt(a*x^4 + b)*sqrt(-a^7/b^4)*a^2*b*x^2 - a^5 + 2*(a*x^4 + b)^(3/4)*(-a^7/b^4)^(3/4)*b^2*x)/(2*a*x^4 + b)) + 21*(-a^7/b^4)^(1/4)*b*x^7*log(27*(2*(a*x^4 + b)^(1/4)*(-a^7/b^4)^(1/4)*a^4*x^3 - 2*sqrt(a*x^4 + b)*sqrt(-a^7/b^4)*a^2*b*x^2 + a^5 + 2*(a*x^4 + b)^(3/4)*(-a^7/b^4)^(3/4)*b^2*x)/(2*a*x^4 + b)) - 8*(6*a*x^4 - b)*(a*x^4 + b)^(3/4))/(b*x^7)","B",0
2222,-1,0,0,0.000000," ","integrate(x*(a*x+b)^(1/2)/(x+(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2223,-1,0,0,0.000000," ","integrate(x*(a*x+b)^(1/2)/(x+(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2224,1,243,0,0.696223," ","integrate((1-(1-(1-1/x)^(1/2))^(1/2))^(1/2)/x,x, algorithm=""fricas"")","4 \, \sqrt{\sqrt{2} - 1} \arctan\left(-\sqrt{\sqrt{2} - \sqrt{-\sqrt{\frac{x - 1}{x}} + 1}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} \sqrt{-\sqrt{-\sqrt{\frac{x - 1}{x}} + 1} + 1}\right) + \sqrt{\sqrt{2} + 1} \log\left(2 \, \sqrt{\sqrt{2} + 1} + 2 \, \sqrt{-\sqrt{-\sqrt{\frac{x - 1}{x}} + 1} + 1}\right) - \sqrt{\sqrt{2} + 1} \log\left(-2 \, \sqrt{\sqrt{2} + 1} + 2 \, \sqrt{-\sqrt{-\sqrt{\frac{x - 1}{x}} + 1} + 1}\right) - 8 \, \sqrt{-\sqrt{-\sqrt{\frac{x - 1}{x}} + 1} + 1} + 2 \, \log\left(\sqrt{-\sqrt{-\sqrt{\frac{x - 1}{x}} + 1} + 1} + 1\right) - 2 \, \log\left(\sqrt{-\sqrt{-\sqrt{\frac{x - 1}{x}} + 1} + 1} - 1\right)"," ",0,"4*sqrt(sqrt(2) - 1)*arctan(-sqrt(sqrt(2) - sqrt(-sqrt((x - 1)/x) + 1))*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1)*sqrt(-sqrt(-sqrt((x - 1)/x) + 1) + 1)) + sqrt(sqrt(2) + 1)*log(2*sqrt(sqrt(2) + 1) + 2*sqrt(-sqrt(-sqrt((x - 1)/x) + 1) + 1)) - sqrt(sqrt(2) + 1)*log(-2*sqrt(sqrt(2) + 1) + 2*sqrt(-sqrt(-sqrt((x - 1)/x) + 1) + 1)) - 8*sqrt(-sqrt(-sqrt((x - 1)/x) + 1) + 1) + 2*log(sqrt(-sqrt(-sqrt((x - 1)/x) + 1) + 1) + 1) - 2*log(sqrt(-sqrt(-sqrt((x - 1)/x) + 1) + 1) - 1)","A",0
2225,-1,0,0,0.000000," ","integrate((-2*a*b*x+(a+b)*x^2)/(x*(-a+x)*(-b+x))^(2/3)/(a*b*d-(a+b)*d*x+(-1+d)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2226,1,224,0,0.625939," ","integrate((a*x^3-b)^(1/4)/x^7,x, algorithm=""fricas"")","\frac{12 \, \left(-\frac{a^{8}}{b^{7}}\right)^{\frac{1}{4}} b x^{6} \arctan\left(-\frac{{\left(a x^{3} - b\right)}^{\frac{1}{4}} a^{2} \left(-\frac{a^{8}}{b^{7}}\right)^{\frac{3}{4}} b^{5} - \sqrt{\sqrt{a x^{3} - b} a^{4} + \sqrt{-\frac{a^{8}}{b^{7}}} b^{4}} \left(-\frac{a^{8}}{b^{7}}\right)^{\frac{3}{4}} b^{5}}{a^{8}}\right) + 3 \, \left(-\frac{a^{8}}{b^{7}}\right)^{\frac{1}{4}} b x^{6} \log\left({\left(a x^{3} - b\right)}^{\frac{1}{4}} a^{2} + \left(-\frac{a^{8}}{b^{7}}\right)^{\frac{1}{4}} b^{2}\right) - 3 \, \left(-\frac{a^{8}}{b^{7}}\right)^{\frac{1}{4}} b x^{6} \log\left({\left(a x^{3} - b\right)}^{\frac{1}{4}} a^{2} - \left(-\frac{a^{8}}{b^{7}}\right)^{\frac{1}{4}} b^{2}\right) + 4 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}} {\left(a x^{3} - 4 \, b\right)}}{96 \, b x^{6}}"," ",0,"1/96*(12*(-a^8/b^7)^(1/4)*b*x^6*arctan(-((a*x^3 - b)^(1/4)*a^2*(-a^8/b^7)^(3/4)*b^5 - sqrt(sqrt(a*x^3 - b)*a^4 + sqrt(-a^8/b^7)*b^4)*(-a^8/b^7)^(3/4)*b^5)/a^8) + 3*(-a^8/b^7)^(1/4)*b*x^6*log((a*x^3 - b)^(1/4)*a^2 + (-a^8/b^7)^(1/4)*b^2) - 3*(-a^8/b^7)^(1/4)*b*x^6*log((a*x^3 - b)^(1/4)*a^2 - (-a^8/b^7)^(1/4)*b^2) + 4*(a*x^3 - b)^(1/4)*(a*x^3 - 4*b))/(b*x^6)","A",0
2227,-1,0,0,0.000000," ","integrate((2*a*x^2+b)*(a*x^4+b*x^2)^(1/4)/(a*x^2-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2228,1,979,0,1.037131," ","integrate((a^4*x^4-b^4)/(a^2*x^3-b^2*x)^(1/2)/(a^4*x^4+b^4),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \left(\frac{1}{2}\right)^{\frac{1}{4}} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(2 \, \sqrt{2} \left(\frac{1}{2}\right)^{\frac{3}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}} - \sqrt{2} \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x} - {\left(2 \, a^{2} x^{3} - 2 \, b^{2} x - {\left(2 \, \sqrt{2} \left(\frac{1}{2}\right)^{\frac{3}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}} + \sqrt{2} \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{\frac{a^{4} x^{4} + b^{4} + 8 \, \sqrt{\frac{1}{2}} {\left(a^{4} b^{2} x^{3} - a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}} + 4 \, {\left(\sqrt{2} \left(\frac{1}{2}\right)^{\frac{1}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} + \sqrt{2} \left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(a^{4} b^{2} x^{2} - a^{2} b^{4}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x}}{a^{4} x^{4} + b^{4}}}}{2 \, {\left(a^{2} x^{3} - b^{2} x\right)}}\right) - \frac{1}{2} \, \sqrt{2} \left(\frac{1}{2}\right)^{\frac{1}{4}} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(2 \, \sqrt{2} \left(\frac{1}{2}\right)^{\frac{3}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}} - \sqrt{2} \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + {\left(2 \, a^{2} x^{3} - 2 \, b^{2} x + {\left(2 \, \sqrt{2} \left(\frac{1}{2}\right)^{\frac{3}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}} + \sqrt{2} \left(\frac{1}{2}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{\frac{a^{4} x^{4} + b^{4} + 8 \, \sqrt{\frac{1}{2}} {\left(a^{4} b^{2} x^{3} - a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}} - 4 \, {\left(\sqrt{2} \left(\frac{1}{2}\right)^{\frac{1}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} + \sqrt{2} \left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(a^{4} b^{2} x^{2} - a^{2} b^{4}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x}}{a^{4} x^{4} + b^{4}}}}{2 \, {\left(a^{2} x^{3} - b^{2} x\right)}}\right) - \frac{1}{8} \, \sqrt{2} \left(\frac{1}{2}\right)^{\frac{1}{4}} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} \log\left(\frac{a^{4} x^{4} + b^{4} + 8 \, \sqrt{\frac{1}{2}} {\left(a^{4} b^{2} x^{3} - a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}} + 4 \, {\left(\sqrt{2} \left(\frac{1}{2}\right)^{\frac{1}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} + \sqrt{2} \left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(a^{4} b^{2} x^{2} - a^{2} b^{4}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x}}{a^{4} x^{4} + b^{4}}\right) + \frac{1}{8} \, \sqrt{2} \left(\frac{1}{2}\right)^{\frac{1}{4}} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} \log\left(\frac{a^{4} x^{4} + b^{4} + 8 \, \sqrt{\frac{1}{2}} {\left(a^{4} b^{2} x^{3} - a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}} - 4 \, {\left(\sqrt{2} \left(\frac{1}{2}\right)^{\frac{1}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} + \sqrt{2} \left(\frac{1}{2}\right)^{\frac{3}{4}} {\left(a^{4} b^{2} x^{2} - a^{2} b^{4}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x}}{a^{4} x^{4} + b^{4}}\right)"," ",0,"-1/2*sqrt(2)*(1/2)^(1/4)*(1/(a^2*b^2))^(1/4)*arctan(1/2*((2*sqrt(2)*(1/2)^(3/4)*a^2*b^2*x*(1/(a^2*b^2))^(3/4) - sqrt(2)*(1/2)^(1/4)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4))*sqrt(a^2*x^3 - b^2*x) - (2*a^2*x^3 - 2*b^2*x - (2*sqrt(2)*(1/2)^(3/4)*a^2*b^2*x*(1/(a^2*b^2))^(3/4) + sqrt(2)*(1/2)^(1/4)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4))*sqrt(a^2*x^3 - b^2*x))*sqrt((a^4*x^4 + b^4 + 8*sqrt(1/2)*(a^4*b^2*x^3 - a^2*b^4*x)*sqrt(1/(a^2*b^2)) + 4*(sqrt(2)*(1/2)^(1/4)*a^2*b^2*x*(1/(a^2*b^2))^(1/4) + sqrt(2)*(1/2)^(3/4)*(a^4*b^2*x^2 - a^2*b^4)*(1/(a^2*b^2))^(3/4))*sqrt(a^2*x^3 - b^2*x))/(a^4*x^4 + b^4)))/(a^2*x^3 - b^2*x)) - 1/2*sqrt(2)*(1/2)^(1/4)*(1/(a^2*b^2))^(1/4)*arctan(1/2*((2*sqrt(2)*(1/2)^(3/4)*a^2*b^2*x*(1/(a^2*b^2))^(3/4) - sqrt(2)*(1/2)^(1/4)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4))*sqrt(a^2*x^3 - b^2*x) + (2*a^2*x^3 - 2*b^2*x + (2*sqrt(2)*(1/2)^(3/4)*a^2*b^2*x*(1/(a^2*b^2))^(3/4) + sqrt(2)*(1/2)^(1/4)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4))*sqrt(a^2*x^3 - b^2*x))*sqrt((a^4*x^4 + b^4 + 8*sqrt(1/2)*(a^4*b^2*x^3 - a^2*b^4*x)*sqrt(1/(a^2*b^2)) - 4*(sqrt(2)*(1/2)^(1/4)*a^2*b^2*x*(1/(a^2*b^2))^(1/4) + sqrt(2)*(1/2)^(3/4)*(a^4*b^2*x^2 - a^2*b^4)*(1/(a^2*b^2))^(3/4))*sqrt(a^2*x^3 - b^2*x))/(a^4*x^4 + b^4)))/(a^2*x^3 - b^2*x)) - 1/8*sqrt(2)*(1/2)^(1/4)*(1/(a^2*b^2))^(1/4)*log((a^4*x^4 + b^4 + 8*sqrt(1/2)*(a^4*b^2*x^3 - a^2*b^4*x)*sqrt(1/(a^2*b^2)) + 4*(sqrt(2)*(1/2)^(1/4)*a^2*b^2*x*(1/(a^2*b^2))^(1/4) + sqrt(2)*(1/2)^(3/4)*(a^4*b^2*x^2 - a^2*b^4)*(1/(a^2*b^2))^(3/4))*sqrt(a^2*x^3 - b^2*x))/(a^4*x^4 + b^4)) + 1/8*sqrt(2)*(1/2)^(1/4)*(1/(a^2*b^2))^(1/4)*log((a^4*x^4 + b^4 + 8*sqrt(1/2)*(a^4*b^2*x^3 - a^2*b^4*x)*sqrt(1/(a^2*b^2)) - 4*(sqrt(2)*(1/2)^(1/4)*a^2*b^2*x*(1/(a^2*b^2))^(1/4) + sqrt(2)*(1/2)^(3/4)*(a^4*b^2*x^2 - a^2*b^4)*(1/(a^2*b^2))^(3/4))*sqrt(a^2*x^3 - b^2*x))/(a^4*x^4 + b^4))","B",0
2229,1,454,0,0.853933," ","integrate((x^5-1)/(x^4+1)^(1/2)/(x^5+1),x, algorithm=""fricas"")","-\frac{2}{5} \, \sqrt{2} \sqrt{\sqrt{5} - 1} \arctan\left(-\frac{\sqrt{2} \sqrt{x^{4} + 1} {\left(3 \, x^{2} + \sqrt{5} {\left(x^{2} - 2 \, x + 1\right)} - 2 \, x + 3\right)} \sqrt{\sqrt{5} - 1} + \sqrt{2} {\left(3 \, x^{4} + 4 \, x^{3} - 8 \, x^{2} - \sqrt{5} {\left(x^{4} + 2 \, x^{3} - 4 \, x^{2} + 2 \, x + 1\right)} + 4 \, x + 3\right)} \sqrt{13 \, \sqrt{5} + 29} \sqrt{\sqrt{5} - 1}}{4 \, {\left(x^{4} + 2 \, x^{3} - 2 \, x^{2} + 2 \, x + 1\right)}}\right) + \frac{1}{10} \, \sqrt{2} \sqrt{\sqrt{5} + 1} \log\left(-\frac{2 \, {\left(\sqrt{2} {\left(4 \, x^{4} + 7 \, x^{3} - 14 \, x^{2} - \sqrt{5} {\left(2 \, x^{4} + 3 \, x^{3} - 6 \, x^{2} + 3 \, x + 2\right)} + 7 \, x + 4\right)} \sqrt{\sqrt{5} + 1} + 2 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - \sqrt{5} {\left(3 \, x^{2} - 5 \, x + 3\right)} - 11 \, x + 7\right)}\right)}}{x^{4} - x^{3} + x^{2} - x + 1}\right) - \frac{1}{10} \, \sqrt{2} \sqrt{\sqrt{5} + 1} \log\left(\frac{2 \, {\left(\sqrt{2} {\left(4 \, x^{4} + 7 \, x^{3} - 14 \, x^{2} - \sqrt{5} {\left(2 \, x^{4} + 3 \, x^{3} - 6 \, x^{2} + 3 \, x + 2\right)} + 7 \, x + 4\right)} \sqrt{\sqrt{5} + 1} - 2 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - \sqrt{5} {\left(3 \, x^{2} - 5 \, x + 3\right)} - 11 \, x + 7\right)}\right)}}{x^{4} - x^{3} + x^{2} - x + 1}\right) + \frac{1}{20} \, \sqrt{2} \log\left(-\frac{3 \, x^{4} + 4 \, x^{3} + 2 \, \sqrt{2} \sqrt{x^{4} + 1} {\left(x^{2} + x + 1\right)} + 6 \, x^{2} + 4 \, x + 3}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right)"," ",0,"-2/5*sqrt(2)*sqrt(sqrt(5) - 1)*arctan(-1/4*(sqrt(2)*sqrt(x^4 + 1)*(3*x^2 + sqrt(5)*(x^2 - 2*x + 1) - 2*x + 3)*sqrt(sqrt(5) - 1) + sqrt(2)*(3*x^4 + 4*x^3 - 8*x^2 - sqrt(5)*(x^4 + 2*x^3 - 4*x^2 + 2*x + 1) + 4*x + 3)*sqrt(13*sqrt(5) + 29)*sqrt(sqrt(5) - 1))/(x^4 + 2*x^3 - 2*x^2 + 2*x + 1)) + 1/10*sqrt(2)*sqrt(sqrt(5) + 1)*log(-2*(sqrt(2)*(4*x^4 + 7*x^3 - 14*x^2 - sqrt(5)*(2*x^4 + 3*x^3 - 6*x^2 + 3*x + 2) + 7*x + 4)*sqrt(sqrt(5) + 1) + 2*sqrt(x^4 + 1)*(7*x^2 - sqrt(5)*(3*x^2 - 5*x + 3) - 11*x + 7))/(x^4 - x^3 + x^2 - x + 1)) - 1/10*sqrt(2)*sqrt(sqrt(5) + 1)*log(2*(sqrt(2)*(4*x^4 + 7*x^3 - 14*x^2 - sqrt(5)*(2*x^4 + 3*x^3 - 6*x^2 + 3*x + 2) + 7*x + 4)*sqrt(sqrt(5) + 1) - 2*sqrt(x^4 + 1)*(7*x^2 - sqrt(5)*(3*x^2 - 5*x + 3) - 11*x + 7))/(x^4 - x^3 + x^2 - x + 1)) + 1/20*sqrt(2)*log(-(3*x^4 + 4*x^3 + 2*sqrt(2)*sqrt(x^4 + 1)*(x^2 + x + 1) + 6*x^2 + 4*x + 3)/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1))","B",0
2230,1,454,0,0.793515," ","integrate((x^5-1)/(x^4+1)^(1/2)/(x^5+1),x, algorithm=""fricas"")","-\frac{2}{5} \, \sqrt{2} \sqrt{\sqrt{5} - 1} \arctan\left(-\frac{\sqrt{2} \sqrt{x^{4} + 1} {\left(3 \, x^{2} + \sqrt{5} {\left(x^{2} - 2 \, x + 1\right)} - 2 \, x + 3\right)} \sqrt{\sqrt{5} - 1} + \sqrt{2} {\left(3 \, x^{4} + 4 \, x^{3} - 8 \, x^{2} - \sqrt{5} {\left(x^{4} + 2 \, x^{3} - 4 \, x^{2} + 2 \, x + 1\right)} + 4 \, x + 3\right)} \sqrt{13 \, \sqrt{5} + 29} \sqrt{\sqrt{5} - 1}}{4 \, {\left(x^{4} + 2 \, x^{3} - 2 \, x^{2} + 2 \, x + 1\right)}}\right) + \frac{1}{10} \, \sqrt{2} \sqrt{\sqrt{5} + 1} \log\left(-\frac{2 \, {\left(\sqrt{2} {\left(4 \, x^{4} + 7 \, x^{3} - 14 \, x^{2} - \sqrt{5} {\left(2 \, x^{4} + 3 \, x^{3} - 6 \, x^{2} + 3 \, x + 2\right)} + 7 \, x + 4\right)} \sqrt{\sqrt{5} + 1} + 2 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - \sqrt{5} {\left(3 \, x^{2} - 5 \, x + 3\right)} - 11 \, x + 7\right)}\right)}}{x^{4} - x^{3} + x^{2} - x + 1}\right) - \frac{1}{10} \, \sqrt{2} \sqrt{\sqrt{5} + 1} \log\left(\frac{2 \, {\left(\sqrt{2} {\left(4 \, x^{4} + 7 \, x^{3} - 14 \, x^{2} - \sqrt{5} {\left(2 \, x^{4} + 3 \, x^{3} - 6 \, x^{2} + 3 \, x + 2\right)} + 7 \, x + 4\right)} \sqrt{\sqrt{5} + 1} - 2 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - \sqrt{5} {\left(3 \, x^{2} - 5 \, x + 3\right)} - 11 \, x + 7\right)}\right)}}{x^{4} - x^{3} + x^{2} - x + 1}\right) + \frac{1}{20} \, \sqrt{2} \log\left(-\frac{3 \, x^{4} + 4 \, x^{3} + 2 \, \sqrt{2} \sqrt{x^{4} + 1} {\left(x^{2} + x + 1\right)} + 6 \, x^{2} + 4 \, x + 3}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right)"," ",0,"-2/5*sqrt(2)*sqrt(sqrt(5) - 1)*arctan(-1/4*(sqrt(2)*sqrt(x^4 + 1)*(3*x^2 + sqrt(5)*(x^2 - 2*x + 1) - 2*x + 3)*sqrt(sqrt(5) - 1) + sqrt(2)*(3*x^4 + 4*x^3 - 8*x^2 - sqrt(5)*(x^4 + 2*x^3 - 4*x^2 + 2*x + 1) + 4*x + 3)*sqrt(13*sqrt(5) + 29)*sqrt(sqrt(5) - 1))/(x^4 + 2*x^3 - 2*x^2 + 2*x + 1)) + 1/10*sqrt(2)*sqrt(sqrt(5) + 1)*log(-2*(sqrt(2)*(4*x^4 + 7*x^3 - 14*x^2 - sqrt(5)*(2*x^4 + 3*x^3 - 6*x^2 + 3*x + 2) + 7*x + 4)*sqrt(sqrt(5) + 1) + 2*sqrt(x^4 + 1)*(7*x^2 - sqrt(5)*(3*x^2 - 5*x + 3) - 11*x + 7))/(x^4 - x^3 + x^2 - x + 1)) - 1/10*sqrt(2)*sqrt(sqrt(5) + 1)*log(2*(sqrt(2)*(4*x^4 + 7*x^3 - 14*x^2 - sqrt(5)*(2*x^4 + 3*x^3 - 6*x^2 + 3*x + 2) + 7*x + 4)*sqrt(sqrt(5) + 1) - 2*sqrt(x^4 + 1)*(7*x^2 - sqrt(5)*(3*x^2 - 5*x + 3) - 11*x + 7))/(x^4 - x^3 + x^2 - x + 1)) + 1/20*sqrt(2)*log(-(3*x^4 + 4*x^3 + 2*sqrt(2)*sqrt(x^4 + 1)*(x^2 + x + 1) + 6*x^2 + 4*x + 3)/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1))","B",0
2231,1,448,0,0.901458," ","integrate((x^5+1)/(x^4+1)^(1/2)/(x^5-1),x, algorithm=""fricas"")","\frac{2}{5} \, \sqrt{2} \sqrt{\sqrt{5} - 1} \arctan\left(-\frac{\sqrt{2} \sqrt{x^{4} + 1} {\left(3 \, x^{2} + \sqrt{5} {\left(x^{2} + 2 \, x + 1\right)} + 2 \, x + 3\right)} \sqrt{\sqrt{5} - 1} + \sqrt{2} {\left(3 \, x^{4} - 4 \, x^{3} - 8 \, x^{2} - \sqrt{5} {\left(x^{4} - 2 \, x^{3} - 4 \, x^{2} - 2 \, x + 1\right)} - 4 \, x + 3\right)} \sqrt{13 \, \sqrt{5} + 29} \sqrt{\sqrt{5} - 1}}{4 \, {\left(x^{4} - 2 \, x^{3} - 2 \, x^{2} - 2 \, x + 1\right)}}\right) - \frac{1}{10} \, \sqrt{2} \sqrt{\sqrt{5} + 1} \log\left(-\frac{2 \, {\left(\sqrt{2} {\left(4 \, x^{4} - 7 \, x^{3} - 14 \, x^{2} - \sqrt{5} {\left(2 \, x^{4} - 3 \, x^{3} - 6 \, x^{2} - 3 \, x + 2\right)} - 7 \, x + 4\right)} \sqrt{\sqrt{5} + 1} + 2 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - \sqrt{5} {\left(3 \, x^{2} + 5 \, x + 3\right)} + 11 \, x + 7\right)}\right)}}{x^{4} + x^{3} + x^{2} + x + 1}\right) + \frac{1}{10} \, \sqrt{2} \sqrt{\sqrt{5} + 1} \log\left(\frac{2 \, {\left(\sqrt{2} {\left(4 \, x^{4} - 7 \, x^{3} - 14 \, x^{2} - \sqrt{5} {\left(2 \, x^{4} - 3 \, x^{3} - 6 \, x^{2} - 3 \, x + 2\right)} - 7 \, x + 4\right)} \sqrt{\sqrt{5} + 1} - 2 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - \sqrt{5} {\left(3 \, x^{2} + 5 \, x + 3\right)} + 11 \, x + 7\right)}\right)}}{x^{4} + x^{3} + x^{2} + x + 1}\right) + \frac{1}{20} \, \sqrt{2} \log\left(-\frac{3 \, x^{4} - 4 \, x^{3} - 2 \, \sqrt{2} \sqrt{x^{4} + 1} {\left(x^{2} - x + 1\right)} + 6 \, x^{2} - 4 \, x + 3}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right)"," ",0,"2/5*sqrt(2)*sqrt(sqrt(5) - 1)*arctan(-1/4*(sqrt(2)*sqrt(x^4 + 1)*(3*x^2 + sqrt(5)*(x^2 + 2*x + 1) + 2*x + 3)*sqrt(sqrt(5) - 1) + sqrt(2)*(3*x^4 - 4*x^3 - 8*x^2 - sqrt(5)*(x^4 - 2*x^3 - 4*x^2 - 2*x + 1) - 4*x + 3)*sqrt(13*sqrt(5) + 29)*sqrt(sqrt(5) - 1))/(x^4 - 2*x^3 - 2*x^2 - 2*x + 1)) - 1/10*sqrt(2)*sqrt(sqrt(5) + 1)*log(-2*(sqrt(2)*(4*x^4 - 7*x^3 - 14*x^2 - sqrt(5)*(2*x^4 - 3*x^3 - 6*x^2 - 3*x + 2) - 7*x + 4)*sqrt(sqrt(5) + 1) + 2*sqrt(x^4 + 1)*(7*x^2 - sqrt(5)*(3*x^2 + 5*x + 3) + 11*x + 7))/(x^4 + x^3 + x^2 + x + 1)) + 1/10*sqrt(2)*sqrt(sqrt(5) + 1)*log(2*(sqrt(2)*(4*x^4 - 7*x^3 - 14*x^2 - sqrt(5)*(2*x^4 - 3*x^3 - 6*x^2 - 3*x + 2) - 7*x + 4)*sqrt(sqrt(5) + 1) - 2*sqrt(x^4 + 1)*(7*x^2 - sqrt(5)*(3*x^2 + 5*x + 3) + 11*x + 7))/(x^4 + x^3 + x^2 + x + 1)) + 1/20*sqrt(2)*log(-(3*x^4 - 4*x^3 - 2*sqrt(2)*sqrt(x^4 + 1)*(x^2 - x + 1) + 6*x^2 - 4*x + 3)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1))","B",0
2232,1,448,0,0.946514," ","integrate((x^5+1)/(x^4+1)^(1/2)/(x^5-1),x, algorithm=""fricas"")","\frac{2}{5} \, \sqrt{2} \sqrt{\sqrt{5} - 1} \arctan\left(-\frac{\sqrt{2} \sqrt{x^{4} + 1} {\left(3 \, x^{2} + \sqrt{5} {\left(x^{2} + 2 \, x + 1\right)} + 2 \, x + 3\right)} \sqrt{\sqrt{5} - 1} + \sqrt{2} {\left(3 \, x^{4} - 4 \, x^{3} - 8 \, x^{2} - \sqrt{5} {\left(x^{4} - 2 \, x^{3} - 4 \, x^{2} - 2 \, x + 1\right)} - 4 \, x + 3\right)} \sqrt{13 \, \sqrt{5} + 29} \sqrt{\sqrt{5} - 1}}{4 \, {\left(x^{4} - 2 \, x^{3} - 2 \, x^{2} - 2 \, x + 1\right)}}\right) - \frac{1}{10} \, \sqrt{2} \sqrt{\sqrt{5} + 1} \log\left(-\frac{2 \, {\left(\sqrt{2} {\left(4 \, x^{4} - 7 \, x^{3} - 14 \, x^{2} - \sqrt{5} {\left(2 \, x^{4} - 3 \, x^{3} - 6 \, x^{2} - 3 \, x + 2\right)} - 7 \, x + 4\right)} \sqrt{\sqrt{5} + 1} + 2 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - \sqrt{5} {\left(3 \, x^{2} + 5 \, x + 3\right)} + 11 \, x + 7\right)}\right)}}{x^{4} + x^{3} + x^{2} + x + 1}\right) + \frac{1}{10} \, \sqrt{2} \sqrt{\sqrt{5} + 1} \log\left(\frac{2 \, {\left(\sqrt{2} {\left(4 \, x^{4} - 7 \, x^{3} - 14 \, x^{2} - \sqrt{5} {\left(2 \, x^{4} - 3 \, x^{3} - 6 \, x^{2} - 3 \, x + 2\right)} - 7 \, x + 4\right)} \sqrt{\sqrt{5} + 1} - 2 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - \sqrt{5} {\left(3 \, x^{2} + 5 \, x + 3\right)} + 11 \, x + 7\right)}\right)}}{x^{4} + x^{3} + x^{2} + x + 1}\right) + \frac{1}{20} \, \sqrt{2} \log\left(-\frac{3 \, x^{4} - 4 \, x^{3} - 2 \, \sqrt{2} \sqrt{x^{4} + 1} {\left(x^{2} - x + 1\right)} + 6 \, x^{2} - 4 \, x + 3}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right)"," ",0,"2/5*sqrt(2)*sqrt(sqrt(5) - 1)*arctan(-1/4*(sqrt(2)*sqrt(x^4 + 1)*(3*x^2 + sqrt(5)*(x^2 + 2*x + 1) + 2*x + 3)*sqrt(sqrt(5) - 1) + sqrt(2)*(3*x^4 - 4*x^3 - 8*x^2 - sqrt(5)*(x^4 - 2*x^3 - 4*x^2 - 2*x + 1) - 4*x + 3)*sqrt(13*sqrt(5) + 29)*sqrt(sqrt(5) - 1))/(x^4 - 2*x^3 - 2*x^2 - 2*x + 1)) - 1/10*sqrt(2)*sqrt(sqrt(5) + 1)*log(-2*(sqrt(2)*(4*x^4 - 7*x^3 - 14*x^2 - sqrt(5)*(2*x^4 - 3*x^3 - 6*x^2 - 3*x + 2) - 7*x + 4)*sqrt(sqrt(5) + 1) + 2*sqrt(x^4 + 1)*(7*x^2 - sqrt(5)*(3*x^2 + 5*x + 3) + 11*x + 7))/(x^4 + x^3 + x^2 + x + 1)) + 1/10*sqrt(2)*sqrt(sqrt(5) + 1)*log(2*(sqrt(2)*(4*x^4 - 7*x^3 - 14*x^2 - sqrt(5)*(2*x^4 - 3*x^3 - 6*x^2 - 3*x + 2) - 7*x + 4)*sqrt(sqrt(5) + 1) - 2*sqrt(x^4 + 1)*(7*x^2 - sqrt(5)*(3*x^2 + 5*x + 3) + 11*x + 7))/(x^4 + x^3 + x^2 + x + 1)) + 1/20*sqrt(2)*log(-(3*x^4 - 4*x^3 - 2*sqrt(2)*sqrt(x^4 + 1)*(x^2 - x + 1) + 6*x^2 - 4*x + 3)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1))","B",0
2233,1,101,0,1.077515," ","integrate((a^6*x^6-b^6)/(a^4*x^4+b^4)^(1/2)/(a^6*x^6+b^6),x, algorithm=""fricas"")","-\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} a b x}{\sqrt{a^{4} x^{4} + b^{4}}}\right) - 2 \, \log\left(\frac{a^{4} x^{4} + a^{2} b^{2} x^{2} + b^{4} - 2 \, \sqrt{a^{4} x^{4} + b^{4}} a b x}{a^{4} x^{4} - a^{2} b^{2} x^{2} + b^{4}}\right)}{6 \, a b}"," ",0,"-1/6*(sqrt(2)*arctan(sqrt(2)*a*b*x/sqrt(a^4*x^4 + b^4)) - 2*log((a^4*x^4 + a^2*b^2*x^2 + b^4 - 2*sqrt(a^4*x^4 + b^4)*a*b*x)/(a^4*x^4 - a^2*b^2*x^2 + b^4)))/(a*b)","A",0
2234,-1,0,0,0.000000," ","integrate((-2*a*b+(a+b)*x)/(x*(-a+x)*(-b+x))^(1/3)/(a*b*d-(a+b)*d*x+(-1+d)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2235,1,234,0,0.938014," ","integrate(1/x^7/(a*x^3-b)^(3/4),x, algorithm=""fricas"")","\frac{84 \, b^{2} x^{6} \left(-\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{3} - b\right)}^{\frac{1}{4}} a^{2} b^{8} \left(-\frac{a^{8}}{b^{11}}\right)^{\frac{3}{4}} - \sqrt{b^{6} \sqrt{-\frac{a^{8}}{b^{11}}} + \sqrt{a x^{3} - b} a^{4}} b^{8} \left(-\frac{a^{8}}{b^{11}}\right)^{\frac{3}{4}}}{a^{8}}\right) + 21 \, b^{2} x^{6} \left(-\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} \log\left(7 \, b^{3} \left(-\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} + 7 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}} a^{2}\right) - 21 \, b^{2} x^{6} \left(-\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} \log\left(-7 \, b^{3} \left(-\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} + 7 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}} a^{2}\right) + 4 \, {\left(7 \, a x^{3} + 4 \, b\right)} {\left(a x^{3} - b\right)}^{\frac{1}{4}}}{96 \, b^{2} x^{6}}"," ",0,"1/96*(84*b^2*x^6*(-a^8/b^11)^(1/4)*arctan(-((a*x^3 - b)^(1/4)*a^2*b^8*(-a^8/b^11)^(3/4) - sqrt(b^6*sqrt(-a^8/b^11) + sqrt(a*x^3 - b)*a^4)*b^8*(-a^8/b^11)^(3/4))/a^8) + 21*b^2*x^6*(-a^8/b^11)^(1/4)*log(7*b^3*(-a^8/b^11)^(1/4) + 7*(a*x^3 - b)^(1/4)*a^2) - 21*b^2*x^6*(-a^8/b^11)^(1/4)*log(-7*b^3*(-a^8/b^11)^(1/4) + 7*(a*x^3 - b)^(1/4)*a^2) + 4*(7*a*x^3 + 4*b)*(a*x^3 - b)^(1/4))/(b^2*x^6)","A",0
2236,1,240,0,0.849066," ","integrate(1/x^7/(a*x^3-b)^(1/4),x, algorithm=""fricas"")","-\frac{20 \, b^{2} x^{6} \left(-\frac{a^{8}}{b^{9}}\right)^{\frac{1}{4}} \arctan\left(-\frac{125 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}} a^{6} b^{2} \left(-\frac{a^{8}}{b^{9}}\right)^{\frac{1}{4}} - \sqrt{-15625 \, a^{8} b^{5} \sqrt{-\frac{a^{8}}{b^{9}}} + 15625 \, \sqrt{a x^{3} - b} a^{12}} b^{2} \left(-\frac{a^{8}}{b^{9}}\right)^{\frac{1}{4}}}{125 \, a^{8}}\right) - 5 \, b^{2} x^{6} \left(-\frac{a^{8}}{b^{9}}\right)^{\frac{1}{4}} \log\left(125 \, b^{7} \left(-\frac{a^{8}}{b^{9}}\right)^{\frac{3}{4}} + 125 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}} a^{6}\right) + 5 \, b^{2} x^{6} \left(-\frac{a^{8}}{b^{9}}\right)^{\frac{1}{4}} \log\left(-125 \, b^{7} \left(-\frac{a^{8}}{b^{9}}\right)^{\frac{3}{4}} + 125 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}} a^{6}\right) - 4 \, {\left(5 \, a x^{3} + 4 \, b\right)} {\left(a x^{3} - b\right)}^{\frac{3}{4}}}{96 \, b^{2} x^{6}}"," ",0,"-1/96*(20*b^2*x^6*(-a^8/b^9)^(1/4)*arctan(-1/125*(125*(a*x^3 - b)^(1/4)*a^6*b^2*(-a^8/b^9)^(1/4) - sqrt(-15625*a^8*b^5*sqrt(-a^8/b^9) + 15625*sqrt(a*x^3 - b)*a^12)*b^2*(-a^8/b^9)^(1/4))/a^8) - 5*b^2*x^6*(-a^8/b^9)^(1/4)*log(125*b^7*(-a^8/b^9)^(3/4) + 125*(a*x^3 - b)^(1/4)*a^6) + 5*b^2*x^6*(-a^8/b^9)^(1/4)*log(-125*b^7*(-a^8/b^9)^(3/4) + 125*(a*x^3 - b)^(1/4)*a^6) - 4*(5*a*x^3 + 4*b)*(a*x^3 - b)^(3/4))/(b^2*x^6)","A",0
2237,1,232,0,1.752413," ","integrate((x^2+1)/(x^2-1)/(x^4+x^2)^(1/3),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{3} 2^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} 2^{\frac{1}{6}} {\left(2^{\frac{5}{6}} {\left(x^{5} + 8 \, x^{4} - 2 \, x^{3} + 8 \, x^{2} + x\right)} + 8 \, \sqrt{2} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} + 2 \, x^{2} + x\right)} + 8 \cdot 2^{\frac{1}{6}} {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} {\left(x^{2} - 2 \, x + 1\right)}\right)}}{6 \, {\left(x^{5} - 8 \, x^{4} - 2 \, x^{3} - 8 \, x^{2} + x\right)}}\right) + \frac{1}{4} \cdot 2^{\frac{2}{3}} \log\left(-\frac{2^{\frac{2}{3}} {\left(x^{3} - 2 \, x^{2} + x\right)} + 4 \cdot 2^{\frac{1}{3}} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} x - 4 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}}}{x^{3} + 2 \, x^{2} + x}\right) - \frac{1}{8} \cdot 2^{\frac{2}{3}} \log\left(\frac{2 \cdot 2^{\frac{2}{3}} {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(x^{3} + 2 \, x^{2} + x\right)} + 4 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} x}{x^{3} + 2 \, x^{2} + x}\right)"," ",0,"-1/4*sqrt(3)*2^(2/3)*arctan(1/6*sqrt(3)*2^(1/6)*(2^(5/6)*(x^5 + 8*x^4 - 2*x^3 + 8*x^2 + x) + 8*sqrt(2)*(x^4 + x^2)^(1/3)*(x^3 + 2*x^2 + x) + 8*2^(1/6)*(x^4 + x^2)^(2/3)*(x^2 - 2*x + 1))/(x^5 - 8*x^4 - 2*x^3 - 8*x^2 + x)) + 1/4*2^(2/3)*log(-(2^(2/3)*(x^3 - 2*x^2 + x) + 4*2^(1/3)*(x^4 + x^2)^(1/3)*x - 4*(x^4 + x^2)^(2/3))/(x^3 + 2*x^2 + x)) - 1/8*2^(2/3)*log((2*2^(2/3)*(x^4 + x^2)^(2/3) + 2^(1/3)*(x^3 + 2*x^2 + x) + 4*(x^4 + x^2)^(1/3)*x)/(x^3 + 2*x^2 + x))","A",0
2238,1,418,0,142.167988," ","integrate((x^4-1)^(2/3)*(x^4+3)*(2*x^4-x^3-2)/x^6/(2*x^4+3*x^3-2),x, algorithm=""fricas"")","\frac{10 \, \sqrt{3} \left(-18\right)^{\frac{1}{3}} x^{5} \arctan\left(\frac{4 \, \sqrt{3} \left(-18\right)^{\frac{2}{3}} {\left(2 \, x^{9} - 3 \, x^{8} - 9 \, x^{7} - 4 \, x^{5} + 3 \, x^{4} + 2 \, x\right)} {\left(x^{4} - 1\right)}^{\frac{2}{3}} + 6 \, \sqrt{3} \left(-18\right)^{\frac{1}{3}} {\left(4 \, x^{10} - 42 \, x^{9} + 9 \, x^{8} - 8 \, x^{6} + 42 \, x^{5} + 4 \, x^{2}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{3}} - \sqrt{3} {\left(8 \, x^{12} - 180 \, x^{11} + 216 \, x^{10} + 27 \, x^{9} - 24 \, x^{8} + 360 \, x^{7} - 216 \, x^{6} + 24 \, x^{4} - 180 \, x^{3} - 8\right)}}{3 \, {\left(8 \, x^{12} + 36 \, x^{11} - 432 \, x^{10} + 27 \, x^{9} - 24 \, x^{8} - 72 \, x^{7} + 432 \, x^{6} + 24 \, x^{4} + 36 \, x^{3} - 8\right)}}\right) + 10 \, \left(-18\right)^{\frac{1}{3}} x^{5} \log\left(\frac{3 \, \left(-18\right)^{\frac{2}{3}} {\left(x^{4} - 1\right)}^{\frac{1}{3}} x^{2} + 18 \, {\left(x^{4} - 1\right)}^{\frac{2}{3}} x - \left(-18\right)^{\frac{1}{3}} {\left(2 \, x^{4} + 3 \, x^{3} - 2\right)}}{2 \, x^{4} + 3 \, x^{3} - 2}\right) - 5 \, \left(-18\right)^{\frac{1}{3}} x^{5} \log\left(\frac{36 \, \left(-18\right)^{\frac{1}{3}} {\left(x^{5} - 3 \, x^{4} - x\right)} {\left(x^{4} - 1\right)}^{\frac{2}{3}} + \left(-18\right)^{\frac{2}{3}} {\left(4 \, x^{8} - 42 \, x^{7} + 9 \, x^{6} - 8 \, x^{4} + 42 \, x^{3} + 4\right)} + 54 \, {\left(4 \, x^{6} - 3 \, x^{5} - 4 \, x^{2}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{3}}}{4 \, x^{8} + 12 \, x^{7} + 9 \, x^{6} - 8 \, x^{4} - 12 \, x^{3} + 4}\right) + 18 \, {\left(x^{4} - 5 \, x^{3} - 1\right)} {\left(x^{4} - 1\right)}^{\frac{2}{3}}}{30 \, x^{5}}"," ",0,"1/30*(10*sqrt(3)*(-18)^(1/3)*x^5*arctan(1/3*(4*sqrt(3)*(-18)^(2/3)*(2*x^9 - 3*x^8 - 9*x^7 - 4*x^5 + 3*x^4 + 2*x)*(x^4 - 1)^(2/3) + 6*sqrt(3)*(-18)^(1/3)*(4*x^10 - 42*x^9 + 9*x^8 - 8*x^6 + 42*x^5 + 4*x^2)*(x^4 - 1)^(1/3) - sqrt(3)*(8*x^12 - 180*x^11 + 216*x^10 + 27*x^9 - 24*x^8 + 360*x^7 - 216*x^6 + 24*x^4 - 180*x^3 - 8))/(8*x^12 + 36*x^11 - 432*x^10 + 27*x^9 - 24*x^8 - 72*x^7 + 432*x^6 + 24*x^4 + 36*x^3 - 8)) + 10*(-18)^(1/3)*x^5*log((3*(-18)^(2/3)*(x^4 - 1)^(1/3)*x^2 + 18*(x^4 - 1)^(2/3)*x - (-18)^(1/3)*(2*x^4 + 3*x^3 - 2))/(2*x^4 + 3*x^3 - 2)) - 5*(-18)^(1/3)*x^5*log((36*(-18)^(1/3)*(x^5 - 3*x^4 - x)*(x^4 - 1)^(2/3) + (-18)^(2/3)*(4*x^8 - 42*x^7 + 9*x^6 - 8*x^4 + 42*x^3 + 4) + 54*(4*x^6 - 3*x^5 - 4*x^2)*(x^4 - 1)^(1/3))/(4*x^8 + 12*x^7 + 9*x^6 - 8*x^4 - 12*x^3 + 4)) + 18*(x^4 - 5*x^3 - 1)*(x^4 - 1)^(2/3))/x^5","B",0
2239,1,234,0,0.658049," ","integrate(1/x^9/(a*x^4-b)^(3/4),x, algorithm=""fricas"")","\frac{84 \, b^{2} x^{8} \left(-\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}} a^{2} b^{8} \left(-\frac{a^{8}}{b^{11}}\right)^{\frac{3}{4}} - \sqrt{b^{6} \sqrt{-\frac{a^{8}}{b^{11}}} + \sqrt{a x^{4} - b} a^{4}} b^{8} \left(-\frac{a^{8}}{b^{11}}\right)^{\frac{3}{4}}}{a^{8}}\right) + 21 \, b^{2} x^{8} \left(-\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} \log\left(21 \, b^{3} \left(-\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} + 21 \, {\left(a x^{4} - b\right)}^{\frac{1}{4}} a^{2}\right) - 21 \, b^{2} x^{8} \left(-\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} \log\left(-21 \, b^{3} \left(-\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} + 21 \, {\left(a x^{4} - b\right)}^{\frac{1}{4}} a^{2}\right) + 4 \, {\left(7 \, a x^{4} + 4 \, b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{128 \, b^{2} x^{8}}"," ",0,"1/128*(84*b^2*x^8*(-a^8/b^11)^(1/4)*arctan(-((a*x^4 - b)^(1/4)*a^2*b^8*(-a^8/b^11)^(3/4) - sqrt(b^6*sqrt(-a^8/b^11) + sqrt(a*x^4 - b)*a^4)*b^8*(-a^8/b^11)^(3/4))/a^8) + 21*b^2*x^8*(-a^8/b^11)^(1/4)*log(21*b^3*(-a^8/b^11)^(1/4) + 21*(a*x^4 - b)^(1/4)*a^2) - 21*b^2*x^8*(-a^8/b^11)^(1/4)*log(-21*b^3*(-a^8/b^11)^(1/4) + 21*(a*x^4 - b)^(1/4)*a^2) + 4*(7*a*x^4 + 4*b)*(a*x^4 - b)^(1/4))/(b^2*x^8)","A",0
2240,1,1675,0,1.047240," ","integrate((a^2*x^4+c*x^2+b^2)/(a*x^3+b*x)^(1/2)/(a^2*x^4-b^2),x, algorithm=""fricas"")","-\frac{4 \, \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} b x^{2} + a b^{2}\right)} \left(\frac{16 \, a^{4} b^{4} + 32 \, a^{3} b^{3} c + 24 \, a^{2} b^{2} c^{2} + 8 \, a b c^{3} + c^{4}}{a^{5} b^{5}}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{a x^{3} + b x} {\left(4 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} {\left(8 \, a^{7} b^{7} + 12 \, a^{6} b^{6} c + 6 \, a^{5} b^{5} c^{2} + a^{4} b^{4} c^{3}\right)} x \left(\frac{16 \, a^{4} b^{4} + 32 \, a^{3} b^{3} c + 24 \, a^{2} b^{2} c^{2} + 8 \, a b c^{3} + c^{4}}{a^{5} b^{5}}\right)^{\frac{3}{4}} + \sqrt{64 \, a^{6} b^{6} + 192 \, a^{5} b^{5} c + 240 \, a^{4} b^{4} c^{2} + 160 \, a^{3} b^{3} c^{3} + 60 \, a^{2} b^{2} c^{4} + 12 \, a b c^{5} + c^{6}} {\left(4 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{4} b^{4} x \left(\frac{16 \, a^{4} b^{4} + 32 \, a^{3} b^{3} c + 24 \, a^{2} b^{2} c^{2} + 8 \, a b c^{3} + c^{4}}{a^{5} b^{5}}\right)^{\frac{3}{4}} + \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(4 \, a^{3} b^{4} + 4 \, a^{2} b^{3} c + a b^{2} c^{2} + {\left(4 \, a^{4} b^{3} + 4 \, a^{3} b^{2} c + a^{2} b c^{2}\right)} x^{2}\right)} \left(\frac{16 \, a^{4} b^{4} + 32 \, a^{3} b^{3} c + 24 \, a^{2} b^{2} c^{2} + 8 \, a b c^{3} + c^{4}}{a^{5} b^{5}}\right)^{\frac{1}{4}}\right)} - \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(32 \, a^{6} b^{7} + 80 \, a^{5} b^{6} c + 80 \, a^{4} b^{5} c^{2} + 40 \, a^{3} b^{4} c^{3} + 10 \, a^{2} b^{3} c^{4} + a b^{2} c^{5} + {\left(32 \, a^{7} b^{6} + 80 \, a^{6} b^{5} c + 80 \, a^{5} b^{4} c^{2} + 40 \, a^{4} b^{3} c^{3} + 10 \, a^{3} b^{2} c^{4} + a^{2} b c^{5}\right)} x^{2}\right)} \left(\frac{16 \, a^{4} b^{4} + 32 \, a^{3} b^{3} c + 24 \, a^{2} b^{2} c^{2} + 8 \, a b c^{3} + c^{4}}{a^{5} b^{5}}\right)^{\frac{1}{4}}\right)}}{2 \, {\left({\left(64 \, a^{7} b^{6} + 192 \, a^{6} b^{5} c + 240 \, a^{5} b^{4} c^{2} + 160 \, a^{4} b^{3} c^{3} + 60 \, a^{3} b^{2} c^{4} + 12 \, a^{2} b c^{5} + a c^{6}\right)} x^{3} + {\left(64 \, a^{6} b^{7} + 192 \, a^{5} b^{6} c + 240 \, a^{4} b^{5} c^{2} + 160 \, a^{3} b^{4} c^{3} + 60 \, a^{2} b^{3} c^{4} + 12 \, a b^{2} c^{5} + b c^{6}\right)} x\right)}}\right) + \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} b x^{2} + a b^{2}\right)} \left(\frac{16 \, a^{4} b^{4} + 32 \, a^{3} b^{3} c + 24 \, a^{2} b^{2} c^{2} + 8 \, a b c^{3} + c^{4}}{a^{5} b^{5}}\right)^{\frac{1}{4}} \log\left(\frac{8 \, a^{3} b^{5} + 12 \, a^{2} b^{4} c + 6 \, a b^{3} c^{2} + b^{2} c^{3} + {\left(8 \, a^{5} b^{3} + 12 \, a^{4} b^{2} c + 6 \, a^{3} b c^{2} + a^{2} c^{3}\right)} x^{4} + 6 \, {\left(8 \, a^{4} b^{4} + 12 \, a^{3} b^{3} c + 6 \, a^{2} b^{2} c^{2} + a b c^{3}\right)} x^{2} + 8 \, \sqrt{a x^{3} + b x} {\left(\left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(4 \, a^{4} b^{4} + 4 \, a^{3} b^{3} c + a^{2} b^{2} c^{2}\right)} x \left(\frac{16 \, a^{4} b^{4} + 32 \, a^{3} b^{3} c + 24 \, a^{2} b^{2} c^{2} + 8 \, a b c^{3} + c^{4}}{a^{5} b^{5}}\right)^{\frac{1}{4}} + \left(\frac{1}{4}\right)^{\frac{3}{4}} {\left(a^{5} b^{4} x^{2} + a^{4} b^{5}\right)} \left(\frac{16 \, a^{4} b^{4} + 32 \, a^{3} b^{3} c + 24 \, a^{2} b^{2} c^{2} + 8 \, a b c^{3} + c^{4}}{a^{5} b^{5}}\right)^{\frac{3}{4}}\right)} + 4 \, {\left({\left(2 \, a^{5} b^{4} + a^{4} b^{3} c\right)} x^{3} + {\left(2 \, a^{4} b^{5} + a^{3} b^{4} c\right)} x\right)} \sqrt{\frac{16 \, a^{4} b^{4} + 32 \, a^{3} b^{3} c + 24 \, a^{2} b^{2} c^{2} + 8 \, a b c^{3} + c^{4}}{a^{5} b^{5}}}}{a^{2} x^{4} - 2 \, a b x^{2} + b^{2}}\right) - \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} b x^{2} + a b^{2}\right)} \left(\frac{16 \, a^{4} b^{4} + 32 \, a^{3} b^{3} c + 24 \, a^{2} b^{2} c^{2} + 8 \, a b c^{3} + c^{4}}{a^{5} b^{5}}\right)^{\frac{1}{4}} \log\left(\frac{8 \, a^{3} b^{5} + 12 \, a^{2} b^{4} c + 6 \, a b^{3} c^{2} + b^{2} c^{3} + {\left(8 \, a^{5} b^{3} + 12 \, a^{4} b^{2} c + 6 \, a^{3} b c^{2} + a^{2} c^{3}\right)} x^{4} + 6 \, {\left(8 \, a^{4} b^{4} + 12 \, a^{3} b^{3} c + 6 \, a^{2} b^{2} c^{2} + a b c^{3}\right)} x^{2} - 8 \, \sqrt{a x^{3} + b x} {\left(\left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(4 \, a^{4} b^{4} + 4 \, a^{3} b^{3} c + a^{2} b^{2} c^{2}\right)} x \left(\frac{16 \, a^{4} b^{4} + 32 \, a^{3} b^{3} c + 24 \, a^{2} b^{2} c^{2} + 8 \, a b c^{3} + c^{4}}{a^{5} b^{5}}\right)^{\frac{1}{4}} + \left(\frac{1}{4}\right)^{\frac{3}{4}} {\left(a^{5} b^{4} x^{2} + a^{4} b^{5}\right)} \left(\frac{16 \, a^{4} b^{4} + 32 \, a^{3} b^{3} c + 24 \, a^{2} b^{2} c^{2} + 8 \, a b c^{3} + c^{4}}{a^{5} b^{5}}\right)^{\frac{3}{4}}\right)} + 4 \, {\left({\left(2 \, a^{5} b^{4} + a^{4} b^{3} c\right)} x^{3} + {\left(2 \, a^{4} b^{5} + a^{3} b^{4} c\right)} x\right)} \sqrt{\frac{16 \, a^{4} b^{4} + 32 \, a^{3} b^{3} c + 24 \, a^{2} b^{2} c^{2} + 8 \, a b c^{3} + c^{4}}{a^{5} b^{5}}}}{a^{2} x^{4} - 2 \, a b x^{2} + b^{2}}\right) + 8 \, \sqrt{a x^{3} + b x} {\left(2 \, a b - c\right)}}{16 \, {\left(a^{2} b x^{2} + a b^{2}\right)}}"," ",0,"-1/16*(4*(1/4)^(1/4)*(a^2*b*x^2 + a*b^2)*((16*a^4*b^4 + 32*a^3*b^3*c + 24*a^2*b^2*c^2 + 8*a*b*c^3 + c^4)/(a^5*b^5))^(1/4)*arctan(1/2*sqrt(a*x^3 + b*x)*(4*(1/4)^(3/4)*(8*a^7*b^7 + 12*a^6*b^6*c + 6*a^5*b^5*c^2 + a^4*b^4*c^3)*x*((16*a^4*b^4 + 32*a^3*b^3*c + 24*a^2*b^2*c^2 + 8*a*b*c^3 + c^4)/(a^5*b^5))^(3/4) + sqrt(64*a^6*b^6 + 192*a^5*b^5*c + 240*a^4*b^4*c^2 + 160*a^3*b^3*c^3 + 60*a^2*b^2*c^4 + 12*a*b*c^5 + c^6)*(4*(1/4)^(3/4)*a^4*b^4*x*((16*a^4*b^4 + 32*a^3*b^3*c + 24*a^2*b^2*c^2 + 8*a*b*c^3 + c^4)/(a^5*b^5))^(3/4) + (1/4)^(1/4)*(4*a^3*b^4 + 4*a^2*b^3*c + a*b^2*c^2 + (4*a^4*b^3 + 4*a^3*b^2*c + a^2*b*c^2)*x^2)*((16*a^4*b^4 + 32*a^3*b^3*c + 24*a^2*b^2*c^2 + 8*a*b*c^3 + c^4)/(a^5*b^5))^(1/4)) - (1/4)^(1/4)*(32*a^6*b^7 + 80*a^5*b^6*c + 80*a^4*b^5*c^2 + 40*a^3*b^4*c^3 + 10*a^2*b^3*c^4 + a*b^2*c^5 + (32*a^7*b^6 + 80*a^6*b^5*c + 80*a^5*b^4*c^2 + 40*a^4*b^3*c^3 + 10*a^3*b^2*c^4 + a^2*b*c^5)*x^2)*((16*a^4*b^4 + 32*a^3*b^3*c + 24*a^2*b^2*c^2 + 8*a*b*c^3 + c^4)/(a^5*b^5))^(1/4))/((64*a^7*b^6 + 192*a^6*b^5*c + 240*a^5*b^4*c^2 + 160*a^4*b^3*c^3 + 60*a^3*b^2*c^4 + 12*a^2*b*c^5 + a*c^6)*x^3 + (64*a^6*b^7 + 192*a^5*b^6*c + 240*a^4*b^5*c^2 + 160*a^3*b^4*c^3 + 60*a^2*b^3*c^4 + 12*a*b^2*c^5 + b*c^6)*x)) + (1/4)^(1/4)*(a^2*b*x^2 + a*b^2)*((16*a^4*b^4 + 32*a^3*b^3*c + 24*a^2*b^2*c^2 + 8*a*b*c^3 + c^4)/(a^5*b^5))^(1/4)*log((8*a^3*b^5 + 12*a^2*b^4*c + 6*a*b^3*c^2 + b^2*c^3 + (8*a^5*b^3 + 12*a^4*b^2*c + 6*a^3*b*c^2 + a^2*c^3)*x^4 + 6*(8*a^4*b^4 + 12*a^3*b^3*c + 6*a^2*b^2*c^2 + a*b*c^3)*x^2 + 8*sqrt(a*x^3 + b*x)*((1/4)^(1/4)*(4*a^4*b^4 + 4*a^3*b^3*c + a^2*b^2*c^2)*x*((16*a^4*b^4 + 32*a^3*b^3*c + 24*a^2*b^2*c^2 + 8*a*b*c^3 + c^4)/(a^5*b^5))^(1/4) + (1/4)^(3/4)*(a^5*b^4*x^2 + a^4*b^5)*((16*a^4*b^4 + 32*a^3*b^3*c + 24*a^2*b^2*c^2 + 8*a*b*c^3 + c^4)/(a^5*b^5))^(3/4)) + 4*((2*a^5*b^4 + a^4*b^3*c)*x^3 + (2*a^4*b^5 + a^3*b^4*c)*x)*sqrt((16*a^4*b^4 + 32*a^3*b^3*c + 24*a^2*b^2*c^2 + 8*a*b*c^3 + c^4)/(a^5*b^5)))/(a^2*x^4 - 2*a*b*x^2 + b^2)) - (1/4)^(1/4)*(a^2*b*x^2 + a*b^2)*((16*a^4*b^4 + 32*a^3*b^3*c + 24*a^2*b^2*c^2 + 8*a*b*c^3 + c^4)/(a^5*b^5))^(1/4)*log((8*a^3*b^5 + 12*a^2*b^4*c + 6*a*b^3*c^2 + b^2*c^3 + (8*a^5*b^3 + 12*a^4*b^2*c + 6*a^3*b*c^2 + a^2*c^3)*x^4 + 6*(8*a^4*b^4 + 12*a^3*b^3*c + 6*a^2*b^2*c^2 + a*b*c^3)*x^2 - 8*sqrt(a*x^3 + b*x)*((1/4)^(1/4)*(4*a^4*b^4 + 4*a^3*b^3*c + a^2*b^2*c^2)*x*((16*a^4*b^4 + 32*a^3*b^3*c + 24*a^2*b^2*c^2 + 8*a*b*c^3 + c^4)/(a^5*b^5))^(1/4) + (1/4)^(3/4)*(a^5*b^4*x^2 + a^4*b^5)*((16*a^4*b^4 + 32*a^3*b^3*c + 24*a^2*b^2*c^2 + 8*a*b*c^3 + c^4)/(a^5*b^5))^(3/4)) + 4*((2*a^5*b^4 + a^4*b^3*c)*x^3 + (2*a^4*b^5 + a^3*b^4*c)*x)*sqrt((16*a^4*b^4 + 32*a^3*b^3*c + 24*a^2*b^2*c^2 + 8*a*b*c^3 + c^4)/(a^5*b^5)))/(a^2*x^4 - 2*a*b*x^2 + b^2)) + 8*sqrt(a*x^3 + b*x)*(2*a*b - c))/(a^2*b*x^2 + a*b^2)","B",0
2241,1,234,0,0.656047," ","integrate(1/x^11/(a*x^5-b)^(3/4),x, algorithm=""fricas"")","\frac{84 \, b^{2} x^{10} \left(-\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{5} - b\right)}^{\frac{1}{4}} a^{2} b^{8} \left(-\frac{a^{8}}{b^{11}}\right)^{\frac{3}{4}} - \sqrt{b^{6} \sqrt{-\frac{a^{8}}{b^{11}}} + \sqrt{a x^{5} - b} a^{4}} b^{8} \left(-\frac{a^{8}}{b^{11}}\right)^{\frac{3}{4}}}{a^{8}}\right) + 21 \, b^{2} x^{10} \left(-\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} \log\left(21 \, b^{3} \left(-\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} + 21 \, {\left(a x^{5} - b\right)}^{\frac{1}{4}} a^{2}\right) - 21 \, b^{2} x^{10} \left(-\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} \log\left(-21 \, b^{3} \left(-\frac{a^{8}}{b^{11}}\right)^{\frac{1}{4}} + 21 \, {\left(a x^{5} - b\right)}^{\frac{1}{4}} a^{2}\right) + 4 \, {\left(7 \, a x^{5} + 4 \, b\right)} {\left(a x^{5} - b\right)}^{\frac{1}{4}}}{160 \, b^{2} x^{10}}"," ",0,"1/160*(84*b^2*x^10*(-a^8/b^11)^(1/4)*arctan(-((a*x^5 - b)^(1/4)*a^2*b^8*(-a^8/b^11)^(3/4) - sqrt(b^6*sqrt(-a^8/b^11) + sqrt(a*x^5 - b)*a^4)*b^8*(-a^8/b^11)^(3/4))/a^8) + 21*b^2*x^10*(-a^8/b^11)^(1/4)*log(21*b^3*(-a^8/b^11)^(1/4) + 21*(a*x^5 - b)^(1/4)*a^2) - 21*b^2*x^10*(-a^8/b^11)^(1/4)*log(-21*b^3*(-a^8/b^11)^(1/4) + 21*(a*x^5 - b)^(1/4)*a^2) + 4*(7*a*x^5 + 4*b)*(a*x^5 - b)^(1/4))/(b^2*x^10)","A",0
2242,1,2054,0,7.674491," ","integrate((x^6+1)/(x^4-x^2)^(1/3)/(x^6-1),x, algorithm=""fricas"")","\frac{16 \cdot 3^{\frac{5}{6}} {\left(x^{3} - x\right)} \arctan\left(-\frac{5200566 \cdot 3^{\frac{5}{6}} {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(960 \, x^{3} + 419 \, x^{2} - 960 \, x\right)} - 931 \cdot 3^{\frac{5}{6}} {\left(2 \cdot 3^{\frac{5}{6}} {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(201120 \, x^{2} + 1557961 \, x - 201120\right)} + 2 \, \sqrt{3} {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(1557961 \, x^{3} - 603360 \, x^{2} - 1557961 \, x\right)} + 175561 \cdot 3^{\frac{1}{6}} {\left(x^{5} + x^{3} + x\right)}\right)} + 5200566 \cdot 3^{\frac{1}{6}} {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(419 \, x^{2} - 2880 \, x - 419\right)} + 2514 \, \sqrt{3} {\left(100560 \, x^{5} + 1557961 \, x^{4} - 502800 \, x^{3} - 1557961 \, x^{2} + 100560 \, x\right)}}{3 \, {\left(73560059 \, x^{5} - 9479471040 \, x^{4} - 367800295 \, x^{3} + 9479471040 \, x^{2} + 73560059 \, x\right)}}\right) - 8 \cdot 3^{\frac{5}{6}} {\left(x^{3} - x\right)} \arctan\left(\frac{1862 \, \sqrt{3} {\left(8 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(3^{\frac{5}{6}} {\left(1024558870866960 \, x^{6} - 2840455578302701 \, x^{5} + 221502398520960 \, x^{4} + 4879497632339105 \, x^{3} - 221502398520960 \, x^{2} - 2840455578302701 \, x - 1024558870866960\right)} - 18 \cdot 3^{\frac{5}{6}} {\left(30538688294400 \, x^{6} + 261995401277240 \, x^{5} - 513898276545299 \, x^{4} - 714476479787080 \, x^{3} + 513898276545299 \, x^{2} + 261995401277240 \, x - 30538688294400\right)}\right)} + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} {\left(9732856787649299 \, x^{7} + 33905739302897760 \, x^{6} - 95756305292621940 \, x^{5} - 77616433764537120 \, x^{4} + 95756305292621940 \, x^{3} + 33905739302897760 \, x^{2} - 9732856787649299 \, x\right)} - 2600283 \, \sqrt{3} {\left(5229447840 \, x^{7} - 9925022695 \, x^{6} - 16872865920 \, x^{5} + 22235880413 \, x^{4} + 16872865920 \, x^{3} - 9925022695 \, x^{2} - 5229447840 \, x\right)}\right)} + 3^{\frac{1}{6}} {\left(1509469307073299 \, x^{9} + 65809436013483840 \, x^{8} - 74031236443268180 \, x^{7} - 233676461263875840 \, x^{6} + 131458310508730071 \, x^{5} + 233676461263875840 \, x^{4} - 74031236443268180 \, x^{3} - 65809436013483840 \, x^{2} + 1509469307073299 \, x\right)} - 6 \cdot 3^{\frac{1}{6}} {\left(864612490925040 \, x^{9} + 498731334053101 \, x^{8} + 11166292173984960 \, x^{7} - 27875816538793188 \, x^{6} - 31843321748145360 \, x^{5} + 27875816538793188 \, x^{4} + 11166292173984960 \, x^{3} - 498731334053101 \, x^{2} + 864612490925040 \, x\right)}\right)} \sqrt{\frac{3^{\frac{2}{3}} {\left(x^{5} + x^{3} + x\right)} + 12 \cdot 3^{\frac{2}{3}} {\left(x^{4} - x^{2}\right)} + 6 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(3^{\frac{1}{3}} {\left(x^{2} - 1\right)} + 3 \cdot 3^{\frac{1}{3}} x\right)} + 18 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} + x^{2} - x\right)}}{x^{5} + x^{3} + x}} + 10401132 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(3^{\frac{1}{6}} {\left(4268995295279 \, x^{6} - 21514334541120 \, x^{5} - 29545286126340 \, x^{4} + 68726754959040 \, x^{3} + 29545286126340 \, x^{2} - 21514334541120 \, x - 4268995295279\right)} - 3 \cdot 3^{\frac{1}{6}} {\left(763467207360 \, x^{6} + 2042237245205 \, x^{5} - 4977855152640 \, x^{4} + 4676326938953 \, x^{3} + 4977855152640 \, x^{2} + 2042237245205 \, x - 763467207360\right)}\right)} + 48 \, \sqrt{3} {\left(181136316848795880 \, x^{9} + 83939366796831719 \, x^{8} - 4891577093539842480 \, x^{7} - 503636200780990314 \, x^{6} + 11051108405021256120 \, x^{5} + 503636200780990314 \, x^{4} - 4891577093539842480 \, x^{3} - 83939366796831719 \, x^{2} + 181136316848795880 \, x\right)} - 2600283 \, \sqrt{3} {\left(3602552045521 \, x^{9} - 9955710305280 \, x^{8} + 17741462866034 \, x^{7} + 59734261831680 \, x^{6} - 10265061413421 \, x^{5} - 59734261831680 \, x^{4} + 17741462866034 \, x^{3} + 9955710305280 \, x^{2} + 3602552045521 \, x\right)} - 10401132 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(3^{\frac{5}{6}} {\left(2920267143121 \, x^{7} + 2687453530560 \, x^{6} - 2634089693748 \, x^{5} - 12246111927360 \, x^{4} + 2634089693748 \, x^{3} + 2687453530560 \, x^{2} - 2920267143121 \, x\right)} - 3^{\frac{5}{6}} {\left(2855342875200 \, x^{7} + 5579433413501 \, x^{6} - 30080363166720 \, x^{5} - 23965852712839 \, x^{4} + 30080363166720 \, x^{3} + 5579433413501 \, x^{2} - 2855342875200 \, x\right)}\right)}}{3 \, {\left(6837784281928633319 \, x^{9} - 94175769135398261760 \, x^{8} - 96817417641248917346 \, x^{7} + 565054614812389570560 \, x^{6} + 241499325255998267925 \, x^{5} - 565054614812389570560 \, x^{4} - 96817417641248917346 \, x^{3} + 94175769135398261760 \, x^{2} + 6837784281928633319 \, x\right)}}\right) - 8 \cdot 3^{\frac{5}{6}} {\left(x^{3} - x\right)} \arctan\left(\frac{1862 \, \sqrt{3} {\left(8 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(3^{\frac{5}{6}} {\left(1024558870866960 \, x^{6} - 2840455578302701 \, x^{5} + 221502398520960 \, x^{4} + 4879497632339105 \, x^{3} - 221502398520960 \, x^{2} - 2840455578302701 \, x - 1024558870866960\right)} + 18 \cdot 3^{\frac{5}{6}} {\left(30538688294400 \, x^{6} + 261995401277240 \, x^{5} - 513898276545299 \, x^{4} - 714476479787080 \, x^{3} + 513898276545299 \, x^{2} + 261995401277240 \, x - 30538688294400\right)}\right)} + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} {\left(9732856787649299 \, x^{7} + 33905739302897760 \, x^{6} - 95756305292621940 \, x^{5} - 77616433764537120 \, x^{4} + 95756305292621940 \, x^{3} + 33905739302897760 \, x^{2} - 9732856787649299 \, x\right)} + 2600283 \, \sqrt{3} {\left(5229447840 \, x^{7} - 9925022695 \, x^{6} - 16872865920 \, x^{5} + 22235880413 \, x^{4} + 16872865920 \, x^{3} - 9925022695 \, x^{2} - 5229447840 \, x\right)}\right)} + 3^{\frac{1}{6}} {\left(1509469307073299 \, x^{9} + 65809436013483840 \, x^{8} - 74031236443268180 \, x^{7} - 233676461263875840 \, x^{6} + 131458310508730071 \, x^{5} + 233676461263875840 \, x^{4} - 74031236443268180 \, x^{3} - 65809436013483840 \, x^{2} + 1509469307073299 \, x\right)} + 6 \cdot 3^{\frac{1}{6}} {\left(864612490925040 \, x^{9} + 498731334053101 \, x^{8} + 11166292173984960 \, x^{7} - 27875816538793188 \, x^{6} - 31843321748145360 \, x^{5} + 27875816538793188 \, x^{4} + 11166292173984960 \, x^{3} - 498731334053101 \, x^{2} + 864612490925040 \, x\right)}\right)} \sqrt{\frac{3^{\frac{2}{3}} {\left(x^{5} + x^{3} + x\right)} - 12 \cdot 3^{\frac{2}{3}} {\left(x^{4} - x^{2}\right)} - 6 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(3^{\frac{1}{3}} {\left(x^{2} - 1\right)} - 3 \cdot 3^{\frac{1}{3}} x\right)} + 18 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} - x^{2} - x\right)}}{x^{5} + x^{3} + x}} + 10401132 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(3^{\frac{1}{6}} {\left(4268995295279 \, x^{6} - 21514334541120 \, x^{5} - 29545286126340 \, x^{4} + 68726754959040 \, x^{3} + 29545286126340 \, x^{2} - 21514334541120 \, x - 4268995295279\right)} + 3 \cdot 3^{\frac{1}{6}} {\left(763467207360 \, x^{6} + 2042237245205 \, x^{5} - 4977855152640 \, x^{4} + 4676326938953 \, x^{3} + 4977855152640 \, x^{2} + 2042237245205 \, x - 763467207360\right)}\right)} + 48 \, \sqrt{3} {\left(181136316848795880 \, x^{9} + 83939366796831719 \, x^{8} - 4891577093539842480 \, x^{7} - 503636200780990314 \, x^{6} + 11051108405021256120 \, x^{5} + 503636200780990314 \, x^{4} - 4891577093539842480 \, x^{3} - 83939366796831719 \, x^{2} + 181136316848795880 \, x\right)} + 2600283 \, \sqrt{3} {\left(3602552045521 \, x^{9} - 9955710305280 \, x^{8} + 17741462866034 \, x^{7} + 59734261831680 \, x^{6} - 10265061413421 \, x^{5} - 59734261831680 \, x^{4} + 17741462866034 \, x^{3} + 9955710305280 \, x^{2} + 3602552045521 \, x\right)} + 10401132 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(3^{\frac{5}{6}} {\left(2920267143121 \, x^{7} + 2687453530560 \, x^{6} - 2634089693748 \, x^{5} - 12246111927360 \, x^{4} + 2634089693748 \, x^{3} + 2687453530560 \, x^{2} - 2920267143121 \, x\right)} + 3^{\frac{5}{6}} {\left(2855342875200 \, x^{7} + 5579433413501 \, x^{6} - 30080363166720 \, x^{5} - 23965852712839 \, x^{4} + 30080363166720 \, x^{3} + 5579433413501 \, x^{2} - 2855342875200 \, x\right)}\right)}}{3 \, {\left(6837784281928633319 \, x^{9} - 94175769135398261760 \, x^{8} - 96817417641248917346 \, x^{7} + 565054614812389570560 \, x^{6} + 241499325255998267925 \, x^{5} - 565054614812389570560 \, x^{4} - 96817417641248917346 \, x^{3} + 94175769135398261760 \, x^{2} + 6837784281928633319 \, x\right)}}\right) - 3 \cdot 3^{\frac{1}{3}} {\left(x^{3} - x\right)} \log\left(\frac{10401132 \, {\left(3^{\frac{2}{3}} {\left(x^{5} + x^{3} + x\right)} + 12 \cdot 3^{\frac{2}{3}} {\left(x^{4} - x^{2}\right)} + 6 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(3^{\frac{1}{3}} {\left(x^{2} - 1\right)} + 3 \cdot 3^{\frac{1}{3}} x\right)} + 18 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} + x^{2} - x\right)}\right)}}{x^{5} + x^{3} + x}\right) - 3 \cdot 3^{\frac{1}{3}} {\left(x^{3} - x\right)} \log\left(\frac{2600283 \, {\left(3^{\frac{2}{3}} {\left(x^{5} + x^{3} + x\right)} + 12 \cdot 3^{\frac{2}{3}} {\left(x^{4} - x^{2}\right)} + 6 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(3^{\frac{1}{3}} {\left(x^{2} - 1\right)} + 3 \cdot 3^{\frac{1}{3}} x\right)} + 18 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} + x^{2} - x\right)}\right)}}{x^{5} + x^{3} + x}\right) + 3 \cdot 3^{\frac{1}{3}} {\left(x^{3} - x\right)} \log\left(\frac{10401132 \, {\left(3^{\frac{2}{3}} {\left(x^{5} + x^{3} + x\right)} - 12 \cdot 3^{\frac{2}{3}} {\left(x^{4} - x^{2}\right)} - 6 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(3^{\frac{1}{3}} {\left(x^{2} - 1\right)} - 3 \cdot 3^{\frac{1}{3}} x\right)} + 18 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} - x^{2} - x\right)}\right)}}{x^{5} + x^{3} + x}\right) + 3 \cdot 3^{\frac{1}{3}} {\left(x^{3} - x\right)} \log\left(\frac{2600283 \, {\left(3^{\frac{2}{3}} {\left(x^{5} + x^{3} + x\right)} - 12 \cdot 3^{\frac{2}{3}} {\left(x^{4} - x^{2}\right)} - 6 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(3^{\frac{1}{3}} {\left(x^{2} - 1\right)} - 3 \cdot 3^{\frac{1}{3}} x\right)} + 18 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} - x^{2} - x\right)}\right)}}{x^{5} + x^{3} + x}\right) - 72 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}}}{72 \, {\left(x^{3} - x\right)}}"," ",0,"1/72*(16*3^(5/6)*(x^3 - x)*arctan(-1/3*(5200566*3^(5/6)*(x^4 - x^2)^(1/3)*(960*x^3 + 419*x^2 - 960*x) - 931*3^(5/6)*(2*3^(5/6)*(x^4 - x^2)^(2/3)*(201120*x^2 + 1557961*x - 201120) + 2*sqrt(3)*(x^4 - x^2)^(1/3)*(1557961*x^3 - 603360*x^2 - 1557961*x) + 175561*3^(1/6)*(x^5 + x^3 + x)) + 5200566*3^(1/6)*(x^4 - x^2)^(2/3)*(419*x^2 - 2880*x - 419) + 2514*sqrt(3)*(100560*x^5 + 1557961*x^4 - 502800*x^3 - 1557961*x^2 + 100560*x))/(73560059*x^5 - 9479471040*x^4 - 367800295*x^3 + 9479471040*x^2 + 73560059*x)) - 8*3^(5/6)*(x^3 - x)*arctan(1/3*(1862*sqrt(3)*(8*(x^4 - x^2)^(2/3)*(3^(5/6)*(1024558870866960*x^6 - 2840455578302701*x^5 + 221502398520960*x^4 + 4879497632339105*x^3 - 221502398520960*x^2 - 2840455578302701*x - 1024558870866960) - 18*3^(5/6)*(30538688294400*x^6 + 261995401277240*x^5 - 513898276545299*x^4 - 714476479787080*x^3 + 513898276545299*x^2 + 261995401277240*x - 30538688294400)) + 2*(x^4 - x^2)^(1/3)*(sqrt(3)*(9732856787649299*x^7 + 33905739302897760*x^6 - 95756305292621940*x^5 - 77616433764537120*x^4 + 95756305292621940*x^3 + 33905739302897760*x^2 - 9732856787649299*x) - 2600283*sqrt(3)*(5229447840*x^7 - 9925022695*x^6 - 16872865920*x^5 + 22235880413*x^4 + 16872865920*x^3 - 9925022695*x^2 - 5229447840*x)) + 3^(1/6)*(1509469307073299*x^9 + 65809436013483840*x^8 - 74031236443268180*x^7 - 233676461263875840*x^6 + 131458310508730071*x^5 + 233676461263875840*x^4 - 74031236443268180*x^3 - 65809436013483840*x^2 + 1509469307073299*x) - 6*3^(1/6)*(864612490925040*x^9 + 498731334053101*x^8 + 11166292173984960*x^7 - 27875816538793188*x^6 - 31843321748145360*x^5 + 27875816538793188*x^4 + 11166292173984960*x^3 - 498731334053101*x^2 + 864612490925040*x))*sqrt((3^(2/3)*(x^5 + x^3 + x) + 12*3^(2/3)*(x^4 - x^2) + 6*(x^4 - x^2)^(2/3)*(3^(1/3)*(x^2 - 1) + 3*3^(1/3)*x) + 18*(x^4 - x^2)^(1/3)*(x^3 + x^2 - x))/(x^5 + x^3 + x)) + 10401132*(x^4 - x^2)^(2/3)*(3^(1/6)*(4268995295279*x^6 - 21514334541120*x^5 - 29545286126340*x^4 + 68726754959040*x^3 + 29545286126340*x^2 - 21514334541120*x - 4268995295279) - 3*3^(1/6)*(763467207360*x^6 + 2042237245205*x^5 - 4977855152640*x^4 + 4676326938953*x^3 + 4977855152640*x^2 + 2042237245205*x - 763467207360)) + 48*sqrt(3)*(181136316848795880*x^9 + 83939366796831719*x^8 - 4891577093539842480*x^7 - 503636200780990314*x^6 + 11051108405021256120*x^5 + 503636200780990314*x^4 - 4891577093539842480*x^3 - 83939366796831719*x^2 + 181136316848795880*x) - 2600283*sqrt(3)*(3602552045521*x^9 - 9955710305280*x^8 + 17741462866034*x^7 + 59734261831680*x^6 - 10265061413421*x^5 - 59734261831680*x^4 + 17741462866034*x^3 + 9955710305280*x^2 + 3602552045521*x) - 10401132*(x^4 - x^2)^(1/3)*(3^(5/6)*(2920267143121*x^7 + 2687453530560*x^6 - 2634089693748*x^5 - 12246111927360*x^4 + 2634089693748*x^3 + 2687453530560*x^2 - 2920267143121*x) - 3^(5/6)*(2855342875200*x^7 + 5579433413501*x^6 - 30080363166720*x^5 - 23965852712839*x^4 + 30080363166720*x^3 + 5579433413501*x^2 - 2855342875200*x)))/(6837784281928633319*x^9 - 94175769135398261760*x^8 - 96817417641248917346*x^7 + 565054614812389570560*x^6 + 241499325255998267925*x^5 - 565054614812389570560*x^4 - 96817417641248917346*x^3 + 94175769135398261760*x^2 + 6837784281928633319*x)) - 8*3^(5/6)*(x^3 - x)*arctan(1/3*(1862*sqrt(3)*(8*(x^4 - x^2)^(2/3)*(3^(5/6)*(1024558870866960*x^6 - 2840455578302701*x^5 + 221502398520960*x^4 + 4879497632339105*x^3 - 221502398520960*x^2 - 2840455578302701*x - 1024558870866960) + 18*3^(5/6)*(30538688294400*x^6 + 261995401277240*x^5 - 513898276545299*x^4 - 714476479787080*x^3 + 513898276545299*x^2 + 261995401277240*x - 30538688294400)) + 2*(x^4 - x^2)^(1/3)*(sqrt(3)*(9732856787649299*x^7 + 33905739302897760*x^6 - 95756305292621940*x^5 - 77616433764537120*x^4 + 95756305292621940*x^3 + 33905739302897760*x^2 - 9732856787649299*x) + 2600283*sqrt(3)*(5229447840*x^7 - 9925022695*x^6 - 16872865920*x^5 + 22235880413*x^4 + 16872865920*x^3 - 9925022695*x^2 - 5229447840*x)) + 3^(1/6)*(1509469307073299*x^9 + 65809436013483840*x^8 - 74031236443268180*x^7 - 233676461263875840*x^6 + 131458310508730071*x^5 + 233676461263875840*x^4 - 74031236443268180*x^3 - 65809436013483840*x^2 + 1509469307073299*x) + 6*3^(1/6)*(864612490925040*x^9 + 498731334053101*x^8 + 11166292173984960*x^7 - 27875816538793188*x^6 - 31843321748145360*x^5 + 27875816538793188*x^4 + 11166292173984960*x^3 - 498731334053101*x^2 + 864612490925040*x))*sqrt((3^(2/3)*(x^5 + x^3 + x) - 12*3^(2/3)*(x^4 - x^2) - 6*(x^4 - x^2)^(2/3)*(3^(1/3)*(x^2 - 1) - 3*3^(1/3)*x) + 18*(x^4 - x^2)^(1/3)*(x^3 - x^2 - x))/(x^5 + x^3 + x)) + 10401132*(x^4 - x^2)^(2/3)*(3^(1/6)*(4268995295279*x^6 - 21514334541120*x^5 - 29545286126340*x^4 + 68726754959040*x^3 + 29545286126340*x^2 - 21514334541120*x - 4268995295279) + 3*3^(1/6)*(763467207360*x^6 + 2042237245205*x^5 - 4977855152640*x^4 + 4676326938953*x^3 + 4977855152640*x^2 + 2042237245205*x - 763467207360)) + 48*sqrt(3)*(181136316848795880*x^9 + 83939366796831719*x^8 - 4891577093539842480*x^7 - 503636200780990314*x^6 + 11051108405021256120*x^5 + 503636200780990314*x^4 - 4891577093539842480*x^3 - 83939366796831719*x^2 + 181136316848795880*x) + 2600283*sqrt(3)*(3602552045521*x^9 - 9955710305280*x^8 + 17741462866034*x^7 + 59734261831680*x^6 - 10265061413421*x^5 - 59734261831680*x^4 + 17741462866034*x^3 + 9955710305280*x^2 + 3602552045521*x) + 10401132*(x^4 - x^2)^(1/3)*(3^(5/6)*(2920267143121*x^7 + 2687453530560*x^6 - 2634089693748*x^5 - 12246111927360*x^4 + 2634089693748*x^3 + 2687453530560*x^2 - 2920267143121*x) + 3^(5/6)*(2855342875200*x^7 + 5579433413501*x^6 - 30080363166720*x^5 - 23965852712839*x^4 + 30080363166720*x^3 + 5579433413501*x^2 - 2855342875200*x)))/(6837784281928633319*x^9 - 94175769135398261760*x^8 - 96817417641248917346*x^7 + 565054614812389570560*x^6 + 241499325255998267925*x^5 - 565054614812389570560*x^4 - 96817417641248917346*x^3 + 94175769135398261760*x^2 + 6837784281928633319*x)) - 3*3^(1/3)*(x^3 - x)*log(10401132*(3^(2/3)*(x^5 + x^3 + x) + 12*3^(2/3)*(x^4 - x^2) + 6*(x^4 - x^2)^(2/3)*(3^(1/3)*(x^2 - 1) + 3*3^(1/3)*x) + 18*(x^4 - x^2)^(1/3)*(x^3 + x^2 - x))/(x^5 + x^3 + x)) - 3*3^(1/3)*(x^3 - x)*log(2600283*(3^(2/3)*(x^5 + x^3 + x) + 12*3^(2/3)*(x^4 - x^2) + 6*(x^4 - x^2)^(2/3)*(3^(1/3)*(x^2 - 1) + 3*3^(1/3)*x) + 18*(x^4 - x^2)^(1/3)*(x^3 + x^2 - x))/(x^5 + x^3 + x)) + 3*3^(1/3)*(x^3 - x)*log(10401132*(3^(2/3)*(x^5 + x^3 + x) - 12*3^(2/3)*(x^4 - x^2) - 6*(x^4 - x^2)^(2/3)*(3^(1/3)*(x^2 - 1) - 3*3^(1/3)*x) + 18*(x^4 - x^2)^(1/3)*(x^3 - x^2 - x))/(x^5 + x^3 + x)) + 3*3^(1/3)*(x^3 - x)*log(2600283*(3^(2/3)*(x^5 + x^3 + x) - 12*3^(2/3)*(x^4 - x^2) - 6*(x^4 - x^2)^(2/3)*(3^(1/3)*(x^2 - 1) - 3*3^(1/3)*x) + 18*(x^4 - x^2)^(1/3)*(x^3 - x^2 - x))/(x^5 + x^3 + x)) - 72*(x^4 - x^2)^(2/3))/(x^3 - x)","B",0
2243,1,456,0,0.738855," ","integrate((a^6*x^6-b^6)/(a^2*x^3+b^2*x)^(1/2)/(a^6*x^6+b^6),x, algorithm=""fricas"")","-\frac{4 \, \left(\frac{1}{3}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} + b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} \arctan\left(\frac{3 \, \left(\frac{1}{3}\right)^{\frac{3}{4}} \sqrt{a^{2} x^{3} + b^{2} x} a^{2} b^{2} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}}}{a^{2} x^{2} + b^{2}}\right) + \left(\frac{1}{3}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} + b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} \log\left(\frac{a^{4} x^{4} + 5 \, a^{2} b^{2} x^{2} + b^{4} + 6 \, \sqrt{\frac{1}{3}} {\left(a^{4} b^{2} x^{3} + a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}} + 6 \, {\left(\left(\frac{1}{3}\right)^{\frac{1}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} + \left(\frac{1}{3}\right)^{\frac{3}{4}} {\left(a^{4} b^{2} x^{2} + a^{2} b^{4}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{2} x^{3} + b^{2} x}}{a^{4} x^{4} - a^{2} b^{2} x^{2} + b^{4}}\right) - \left(\frac{1}{3}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} + b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} \log\left(\frac{a^{4} x^{4} + 5 \, a^{2} b^{2} x^{2} + b^{4} + 6 \, \sqrt{\frac{1}{3}} {\left(a^{4} b^{2} x^{3} + a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}} - 6 \, {\left(\left(\frac{1}{3}\right)^{\frac{1}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} + \left(\frac{1}{3}\right)^{\frac{3}{4}} {\left(a^{4} b^{2} x^{2} + a^{2} b^{4}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{2} x^{3} + b^{2} x}}{a^{4} x^{4} - a^{2} b^{2} x^{2} + b^{4}}\right) + 4 \, \sqrt{a^{2} x^{3} + b^{2} x}}{6 \, {\left(a^{2} x^{2} + b^{2}\right)}}"," ",0,"-1/6*(4*(1/3)^(1/4)*(a^2*x^2 + b^2)*(1/(a^2*b^2))^(1/4)*arctan(3*(1/3)^(3/4)*sqrt(a^2*x^3 + b^2*x)*a^2*b^2*(1/(a^2*b^2))^(3/4)/(a^2*x^2 + b^2)) + (1/3)^(1/4)*(a^2*x^2 + b^2)*(1/(a^2*b^2))^(1/4)*log((a^4*x^4 + 5*a^2*b^2*x^2 + b^4 + 6*sqrt(1/3)*(a^4*b^2*x^3 + a^2*b^4*x)*sqrt(1/(a^2*b^2)) + 6*((1/3)^(1/4)*a^2*b^2*x*(1/(a^2*b^2))^(1/4) + (1/3)^(3/4)*(a^4*b^2*x^2 + a^2*b^4)*(1/(a^2*b^2))^(3/4))*sqrt(a^2*x^3 + b^2*x))/(a^4*x^4 - a^2*b^2*x^2 + b^4)) - (1/3)^(1/4)*(a^2*x^2 + b^2)*(1/(a^2*b^2))^(1/4)*log((a^4*x^4 + 5*a^2*b^2*x^2 + b^4 + 6*sqrt(1/3)*(a^4*b^2*x^3 + a^2*b^4*x)*sqrt(1/(a^2*b^2)) - 6*((1/3)^(1/4)*a^2*b^2*x*(1/(a^2*b^2))^(1/4) + (1/3)^(3/4)*(a^4*b^2*x^2 + a^2*b^4)*(1/(a^2*b^2))^(3/4))*sqrt(a^2*x^3 + b^2*x))/(a^4*x^4 - a^2*b^2*x^2 + b^4)) + 4*sqrt(a^2*x^3 + b^2*x))/(a^2*x^2 + b^2)","B",0
2244,1,1097,0,0.624836," ","integrate((a*x^2+1)/(a*x^2-1)/(a*x+(a^2*x^2+b)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{12 \, a b \left(-\frac{2 \, a^{2} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} - 2 \, a - b}{a^{2} b^{2}}\right)^{\frac{1}{4}} \arctan\left({\left(a^{3} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} + a^{2}\right)} \sqrt{a x + {\left(2 \, a^{3} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} + 2 \, a^{2} + a b\right)} \sqrt{-\frac{2 \, a^{2} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} - 2 \, a - b}{a^{2} b^{2}}} + \sqrt{a^{2} x^{2} + b}} \left(-\frac{2 \, a^{2} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} - 2 \, a - b}{a^{2} b^{2}}\right)^{\frac{3}{4}} - {\left(a^{3} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} + a^{2}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} \left(-\frac{2 \, a^{2} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} - 2 \, a - b}{a^{2} b^{2}}\right)^{\frac{3}{4}}\right) - 12 \, a b \left(\frac{2 \, a^{2} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} + 2 \, a + b}{a^{2} b^{2}}\right)^{\frac{1}{4}} \arctan\left({\left({\left(a^{3} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} - a^{2}\right)} \sqrt{a x - {\left(2 \, a^{3} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} - 2 \, a^{2} - a b\right)} \sqrt{\frac{2 \, a^{2} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} + 2 \, a + b}{a^{2} b^{2}}} + \sqrt{a^{2} x^{2} + b}} \sqrt{\frac{2 \, a^{2} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} + 2 \, a + b}{a^{2} b^{2}}} - {\left(a^{3} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} - a^{2}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} \sqrt{\frac{2 \, a^{2} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} + 2 \, a + b}{a^{2} b^{2}}}\right)} \left(\frac{2 \, a^{2} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} + 2 \, a + b}{a^{2} b^{2}}\right)^{\frac{1}{4}}\right) + 3 \, a b \left(\frac{2 \, a^{2} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} + 2 \, a + b}{a^{2} b^{2}}\right)^{\frac{1}{4}} \log\left(8 \, {\left(a^{2} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} - a\right)} \left(\frac{2 \, a^{2} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} + 2 \, a + b}{a^{2} b^{2}}\right)^{\frac{1}{4}} + 8 \, \sqrt{a x + \sqrt{a^{2} x^{2} + b}}\right) - 3 \, a b \left(\frac{2 \, a^{2} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} + 2 \, a + b}{a^{2} b^{2}}\right)^{\frac{1}{4}} \log\left(-8 \, {\left(a^{2} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} - a\right)} \left(\frac{2 \, a^{2} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} + 2 \, a + b}{a^{2} b^{2}}\right)^{\frac{1}{4}} + 8 \, \sqrt{a x + \sqrt{a^{2} x^{2} + b}}\right) - 3 \, a b \left(-\frac{2 \, a^{2} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} - 2 \, a - b}{a^{2} b^{2}}\right)^{\frac{1}{4}} \log\left(8 \, {\left(a^{2} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} + a\right)} \left(-\frac{2 \, a^{2} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} - 2 \, a - b}{a^{2} b^{2}}\right)^{\frac{1}{4}} + 8 \, \sqrt{a x + \sqrt{a^{2} x^{2} + b}}\right) + 3 \, a b \left(-\frac{2 \, a^{2} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} - 2 \, a - b}{a^{2} b^{2}}\right)^{\frac{1}{4}} \log\left(-8 \, {\left(a^{2} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} + a\right)} \left(-\frac{2 \, a^{2} b^{2} \sqrt{\frac{a + b}{a^{3} b^{4}}} - 2 \, a - b}{a^{2} b^{2}}\right)^{\frac{1}{4}} + 8 \, \sqrt{a x + \sqrt{a^{2} x^{2} + b}}\right) - 2 \, {\left(a^{2} x^{2} - \sqrt{a^{2} x^{2} + b} a x - b\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}{3 \, a b}"," ",0,"1/3*(12*a*b*(-(2*a^2*b^2*sqrt((a + b)/(a^3*b^4)) - 2*a - b)/(a^2*b^2))^(1/4)*arctan((a^3*b^2*sqrt((a + b)/(a^3*b^4)) + a^2)*sqrt(a*x + (2*a^3*b^2*sqrt((a + b)/(a^3*b^4)) + 2*a^2 + a*b)*sqrt(-(2*a^2*b^2*sqrt((a + b)/(a^3*b^4)) - 2*a - b)/(a^2*b^2)) + sqrt(a^2*x^2 + b))*(-(2*a^2*b^2*sqrt((a + b)/(a^3*b^4)) - 2*a - b)/(a^2*b^2))^(3/4) - (a^3*b^2*sqrt((a + b)/(a^3*b^4)) + a^2)*sqrt(a*x + sqrt(a^2*x^2 + b))*(-(2*a^2*b^2*sqrt((a + b)/(a^3*b^4)) - 2*a - b)/(a^2*b^2))^(3/4)) - 12*a*b*((2*a^2*b^2*sqrt((a + b)/(a^3*b^4)) + 2*a + b)/(a^2*b^2))^(1/4)*arctan(((a^3*b^2*sqrt((a + b)/(a^3*b^4)) - a^2)*sqrt(a*x - (2*a^3*b^2*sqrt((a + b)/(a^3*b^4)) - 2*a^2 - a*b)*sqrt((2*a^2*b^2*sqrt((a + b)/(a^3*b^4)) + 2*a + b)/(a^2*b^2)) + sqrt(a^2*x^2 + b))*sqrt((2*a^2*b^2*sqrt((a + b)/(a^3*b^4)) + 2*a + b)/(a^2*b^2)) - (a^3*b^2*sqrt((a + b)/(a^3*b^4)) - a^2)*sqrt(a*x + sqrt(a^2*x^2 + b))*sqrt((2*a^2*b^2*sqrt((a + b)/(a^3*b^4)) + 2*a + b)/(a^2*b^2)))*((2*a^2*b^2*sqrt((a + b)/(a^3*b^4)) + 2*a + b)/(a^2*b^2))^(1/4)) + 3*a*b*((2*a^2*b^2*sqrt((a + b)/(a^3*b^4)) + 2*a + b)/(a^2*b^2))^(1/4)*log(8*(a^2*b^2*sqrt((a + b)/(a^3*b^4)) - a)*((2*a^2*b^2*sqrt((a + b)/(a^3*b^4)) + 2*a + b)/(a^2*b^2))^(1/4) + 8*sqrt(a*x + sqrt(a^2*x^2 + b))) - 3*a*b*((2*a^2*b^2*sqrt((a + b)/(a^3*b^4)) + 2*a + b)/(a^2*b^2))^(1/4)*log(-8*(a^2*b^2*sqrt((a + b)/(a^3*b^4)) - a)*((2*a^2*b^2*sqrt((a + b)/(a^3*b^4)) + 2*a + b)/(a^2*b^2))^(1/4) + 8*sqrt(a*x + sqrt(a^2*x^2 + b))) - 3*a*b*(-(2*a^2*b^2*sqrt((a + b)/(a^3*b^4)) - 2*a - b)/(a^2*b^2))^(1/4)*log(8*(a^2*b^2*sqrt((a + b)/(a^3*b^4)) + a)*(-(2*a^2*b^2*sqrt((a + b)/(a^3*b^4)) - 2*a - b)/(a^2*b^2))^(1/4) + 8*sqrt(a*x + sqrt(a^2*x^2 + b))) + 3*a*b*(-(2*a^2*b^2*sqrt((a + b)/(a^3*b^4)) - 2*a - b)/(a^2*b^2))^(1/4)*log(-8*(a^2*b^2*sqrt((a + b)/(a^3*b^4)) + a)*(-(2*a^2*b^2*sqrt((a + b)/(a^3*b^4)) - 2*a - b)/(a^2*b^2))^(1/4) + 8*sqrt(a*x + sqrt(a^2*x^2 + b))) - 2*(a^2*x^2 - sqrt(a^2*x^2 + b)*a*x - b)*sqrt(a*x + sqrt(a^2*x^2 + b)))/(a*b)","B",0
2245,1,175,0,37.486573," ","integrate((-a/b^2+a^2*x^2/b^2)^(1/2)/x^2/(a*x^2+b*x*(-a/b^2+a^2*x^2/b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{3 \, \sqrt{2} a x^{2} \log\left(4 \, a x^{2} - 4 \, b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}} + 2 \, \sqrt{a x^{2} + b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}}} {\left(2 \, \sqrt{2} b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}} - \sqrt{2} {\left(2 \, a x^{2} - 1\right)}\right)} - 1\right) + 4 \, {\left(2 \, a x^{2} - 2 \, b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}} - 1\right)} \sqrt{a x^{2} + b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}}}}{6 \, b x^{2}}"," ",0,"1/6*(3*sqrt(2)*a*x^2*log(4*a*x^2 - 4*b*x*sqrt((a^2*x^2 - a)/b^2) + 2*sqrt(a*x^2 + b*x*sqrt((a^2*x^2 - a)/b^2))*(2*sqrt(2)*b*x*sqrt((a^2*x^2 - a)/b^2) - sqrt(2)*(2*a*x^2 - 1)) - 1) + 4*(2*a*x^2 - 2*b*x*sqrt((a^2*x^2 - a)/b^2) - 1)*sqrt(a*x^2 + b*x*sqrt((a^2*x^2 - a)/b^2)))/(b*x^2)","A",0
2246,1,354,0,1.425631," ","integrate((p*x^3-2*q)*(p*x^3+q)^(1/2)/(b*x^4+a*(p*x^3+q)^2),x, algorithm=""fricas"")","\left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}} \arctan\left(\frac{a^{2} b x \left(-\frac{1}{a^{3} b}\right)^{\frac{3}{4}}}{\sqrt{p x^{3} + q}}\right) + \frac{1}{4} \, \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}} \log\left(\frac{a p^{2} x^{6} + 2 \, a p q x^{3} - b x^{4} + a q^{2} + 2 \, {\left(a b x^{3} \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}} + {\left(a^{3} b p x^{4} + a^{3} b q x\right)} \left(-\frac{1}{a^{3} b}\right)^{\frac{3}{4}}\right)} \sqrt{p x^{3} + q} - 2 \, {\left(a^{2} b p x^{5} + a^{2} b q x^{2}\right)} \sqrt{-\frac{1}{a^{3} b}}}{a p^{2} x^{6} + 2 \, a p q x^{3} + b x^{4} + a q^{2}}\right) - \frac{1}{4} \, \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}} \log\left(\frac{a p^{2} x^{6} + 2 \, a p q x^{3} - b x^{4} + a q^{2} - 2 \, {\left(a b x^{3} \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}} + {\left(a^{3} b p x^{4} + a^{3} b q x\right)} \left(-\frac{1}{a^{3} b}\right)^{\frac{3}{4}}\right)} \sqrt{p x^{3} + q} - 2 \, {\left(a^{2} b p x^{5} + a^{2} b q x^{2}\right)} \sqrt{-\frac{1}{a^{3} b}}}{a p^{2} x^{6} + 2 \, a p q x^{3} + b x^{4} + a q^{2}}\right)"," ",0,"(-1/(a^3*b))^(1/4)*arctan(a^2*b*x*(-1/(a^3*b))^(3/4)/sqrt(p*x^3 + q)) + 1/4*(-1/(a^3*b))^(1/4)*log((a*p^2*x^6 + 2*a*p*q*x^3 - b*x^4 + a*q^2 + 2*(a*b*x^3*(-1/(a^3*b))^(1/4) + (a^3*b*p*x^4 + a^3*b*q*x)*(-1/(a^3*b))^(3/4))*sqrt(p*x^3 + q) - 2*(a^2*b*p*x^5 + a^2*b*q*x^2)*sqrt(-1/(a^3*b)))/(a*p^2*x^6 + 2*a*p*q*x^3 + b*x^4 + a*q^2)) - 1/4*(-1/(a^3*b))^(1/4)*log((a*p^2*x^6 + 2*a*p*q*x^3 - b*x^4 + a*q^2 - 2*(a*b*x^3*(-1/(a^3*b))^(1/4) + (a^3*b*p*x^4 + a^3*b*q*x)*(-1/(a^3*b))^(3/4))*sqrt(p*x^3 + q) - 2*(a^2*b*p*x^5 + a^2*b*q*x^2)*sqrt(-1/(a^3*b)))/(a*p^2*x^6 + 2*a*p*q*x^3 + b*x^4 + a*q^2))","B",0
2247,1,105,0,1.081890," ","integrate(x^4*(x^4+1)^(1/2)*(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{1}{384} \, {\left(8 \, x^{7} + 13 \, x^{3} - {\left(56 \, x^{5} + 39 \, x\right)} \sqrt{x^{4} + 1}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + \frac{13}{512} \, \sqrt{2} \log\left(4 \, x^{4} + 4 \, \sqrt{x^{4} + 1} x^{2} - 2 \, {\left(\sqrt{2} x^{3} + \sqrt{2} \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 1\right)"," ",0,"-1/384*(8*x^7 + 13*x^3 - (56*x^5 + 39*x)*sqrt(x^4 + 1))*sqrt(x^2 + sqrt(x^4 + 1)) + 13/512*sqrt(2)*log(4*x^4 + 4*sqrt(x^4 + 1)*x^2 - 2*(sqrt(2)*x^3 + sqrt(2)*sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1)","A",0
2248,1,354,0,2.178752," ","integrate((p*x^5+q)^(1/2)*(3*p*x^5-2*q)/(b*x^4+a*(p*x^5+q)^2),x, algorithm=""fricas"")","\left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}} \arctan\left(\frac{a^{2} b x \left(-\frac{1}{a^{3} b}\right)^{\frac{3}{4}}}{\sqrt{p x^{5} + q}}\right) + \frac{1}{4} \, \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}} \log\left(\frac{a p^{2} x^{10} + 2 \, a p q x^{5} - b x^{4} + a q^{2} + 2 \, \sqrt{p x^{5} + q} {\left(a b x^{3} \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}} + {\left(a^{3} b p x^{6} + a^{3} b q x\right)} \left(-\frac{1}{a^{3} b}\right)^{\frac{3}{4}}\right)} - 2 \, {\left(a^{2} b p x^{7} + a^{2} b q x^{2}\right)} \sqrt{-\frac{1}{a^{3} b}}}{a p^{2} x^{10} + 2 \, a p q x^{5} + b x^{4} + a q^{2}}\right) - \frac{1}{4} \, \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}} \log\left(\frac{a p^{2} x^{10} + 2 \, a p q x^{5} - b x^{4} + a q^{2} - 2 \, \sqrt{p x^{5} + q} {\left(a b x^{3} \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}} + {\left(a^{3} b p x^{6} + a^{3} b q x\right)} \left(-\frac{1}{a^{3} b}\right)^{\frac{3}{4}}\right)} - 2 \, {\left(a^{2} b p x^{7} + a^{2} b q x^{2}\right)} \sqrt{-\frac{1}{a^{3} b}}}{a p^{2} x^{10} + 2 \, a p q x^{5} + b x^{4} + a q^{2}}\right)"," ",0,"(-1/(a^3*b))^(1/4)*arctan(a^2*b*x*(-1/(a^3*b))^(3/4)/sqrt(p*x^5 + q)) + 1/4*(-1/(a^3*b))^(1/4)*log((a*p^2*x^10 + 2*a*p*q*x^5 - b*x^4 + a*q^2 + 2*sqrt(p*x^5 + q)*(a*b*x^3*(-1/(a^3*b))^(1/4) + (a^3*b*p*x^6 + a^3*b*q*x)*(-1/(a^3*b))^(3/4)) - 2*(a^2*b*p*x^7 + a^2*b*q*x^2)*sqrt(-1/(a^3*b)))/(a*p^2*x^10 + 2*a*p*q*x^5 + b*x^4 + a*q^2)) - 1/4*(-1/(a^3*b))^(1/4)*log((a*p^2*x^10 + 2*a*p*q*x^5 - b*x^4 + a*q^2 - 2*sqrt(p*x^5 + q)*(a*b*x^3*(-1/(a^3*b))^(1/4) + (a^3*b*p*x^6 + a^3*b*q*x)*(-1/(a^3*b))^(3/4)) - 2*(a^2*b*p*x^7 + a^2*b*q*x^2)*sqrt(-1/(a^3*b)))/(a*p^2*x^10 + 2*a*p*q*x^5 + b*x^4 + a*q^2))","B",0
2249,1,315,0,6.495928," ","integrate((-3+x)/(-x^2+1)^(1/3)/(x^2+3),x, algorithm=""fricas"")","-\frac{1}{6} \cdot 4^{\frac{1}{6}} \sqrt{3} \left(-1\right)^{\frac{1}{3}} \arctan\left(\frac{4^{\frac{1}{6}} \sqrt{3} {\left(12 \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{4} + 3 \, x^{3} + 3 \, x^{2} + 9 \, x\right)} {\left(-x^{2} + 1\right)}^{\frac{2}{3}} - 12 \, \left(-1\right)^{\frac{1}{3}} {\left(x^{5} + 19 \, x^{4} + 42 \, x^{3} + 6 \, x^{2} - 27 \, x - 9\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{3}} + 4^{\frac{1}{3}} {\left(x^{6} - 18 \, x^{5} - 117 \, x^{4} - 36 \, x^{3} + 207 \, x^{2} + 54 \, x - 27\right)}\right)}}{6 \, {\left(x^{6} + 54 \, x^{5} + 171 \, x^{4} + 108 \, x^{3} - 81 \, x^{2} - 162 \, x - 27\right)}}\right) - \frac{1}{24} \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(-\frac{6 \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{2} + 3 \, x\right)} {\left(-x^{2} + 1\right)}^{\frac{2}{3}} - 4^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{4} + 18 \, x^{3} + 24 \, x^{2} - 18 \, x - 9\right)} + 6 \, {\left(x^{3} + 7 \, x^{2} + 3 \, x - 3\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{3}}}{x^{4} + 6 \, x^{2} + 9}\right) + \frac{1}{12} \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(\frac{6 \cdot 4^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(-x^{2} + 1\right)}^{\frac{1}{3}} {\left(x + 1\right)} - 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{2} + 3\right)} + 12 \, {\left(-x^{2} + 1\right)}^{\frac{2}{3}}}{x^{2} + 3}\right)"," ",0,"-1/6*4^(1/6)*sqrt(3)*(-1)^(1/3)*arctan(1/6*4^(1/6)*sqrt(3)*(12*4^(2/3)*(-1)^(2/3)*(x^4 + 3*x^3 + 3*x^2 + 9*x)*(-x^2 + 1)^(2/3) - 12*(-1)^(1/3)*(x^5 + 19*x^4 + 42*x^3 + 6*x^2 - 27*x - 9)*(-x^2 + 1)^(1/3) + 4^(1/3)*(x^6 - 18*x^5 - 117*x^4 - 36*x^3 + 207*x^2 + 54*x - 27))/(x^6 + 54*x^5 + 171*x^4 + 108*x^3 - 81*x^2 - 162*x - 27)) - 1/24*4^(2/3)*(-1)^(1/3)*log(-(6*4^(2/3)*(-1)^(1/3)*(x^2 + 3*x)*(-x^2 + 1)^(2/3) - 4^(1/3)*(-1)^(2/3)*(x^4 + 18*x^3 + 24*x^2 - 18*x - 9) + 6*(x^3 + 7*x^2 + 3*x - 3)*(-x^2 + 1)^(1/3))/(x^4 + 6*x^2 + 9)) + 1/12*4^(2/3)*(-1)^(1/3)*log((6*4^(1/3)*(-1)^(2/3)*(-x^2 + 1)^(1/3)*(x + 1) - 4^(2/3)*(-1)^(1/3)*(x^2 + 3) + 12*(-x^2 + 1)^(2/3))/(x^2 + 3))","B",0
2250,-1,0,0,0.000000," ","integrate(x^3*(-3*a*b+(a+2*b)*x)/(-a+x)/(-b+x)/(x*(-a+x)*(-b+x)^2)^(1/4)/(-a*b^2*d+b*(2*a+b)*d*x-(a+2*b)*d*x^2+(-1+d)*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2251,1,122,0,0.798932," ","integrate((a*x+(a^2*x^2+b^2)^(1/2))/(b+(a*x+(a^2*x^2+b^2)^(1/2))^(1/2)),x, algorithm=""fricas"")","-\frac{3 \, a b x + 6 \, {\left(b^{3} + b\right)} \log\left(b + \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}\right) - 6 \, b \log\left(\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}\right) - 2 \, {\left(3 \, b^{2} + a x + \sqrt{a^{2} x^{2} + b^{2}}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} + 3 \, \sqrt{a^{2} x^{2} + b^{2}} b}{6 \, a}"," ",0,"-1/6*(3*a*b*x + 6*(b^3 + b)*log(b + sqrt(a*x + sqrt(a^2*x^2 + b^2))) - 6*b*log(sqrt(a*x + sqrt(a^2*x^2 + b^2))) - 2*(3*b^2 + a*x + sqrt(a^2*x^2 + b^2))*sqrt(a*x + sqrt(a^2*x^2 + b^2)) + 3*sqrt(a^2*x^2 + b^2)*b)/a","A",0
2252,1,345,0,2.511688," ","integrate(1/(x^2+3)/(3*x^2+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{36} \, \sqrt{3} \arctan\left(\frac{4 \, \sqrt{3} {\left(3 \, x^{4} - 10 \, x^{3} - 36 \, x^{2} + 18 \, x + 9\right)} {\left(3 \, x^{2} + 1\right)}^{\frac{2}{3}} - 4 \, \sqrt{3} {\left(x^{5} + 15 \, x^{4} - 26 \, x^{3} - 54 \, x^{2} + 9 \, x - 9\right)} {\left(3 \, x^{2} + 1\right)}^{\frac{1}{3}} + \sqrt{3} {\left(x^{6} - 2 \, x^{5} - 105 \, x^{4} - 28 \, x^{3} + 63 \, x^{2} + 126 \, x + 9\right)}}{x^{6} + 126 \, x^{5} - 225 \, x^{4} - 828 \, x^{3} - 81 \, x^{2} - 162 \, x + 81}\right) - \frac{1}{36} \, \sqrt{3} \arctan\left(\frac{2 \, {\left(2 \, \sqrt{3} {\left(23 \, x^{3} + 9 \, x\right)} {\left(3 \, x^{2} + 1\right)}^{\frac{2}{3}} + \sqrt{3} {\left(x^{5} - 80 \, x^{3} - 9 \, x\right)} {\left(3 \, x^{2} + 1\right)}^{\frac{1}{3}} + \sqrt{3} {\left(11 \, x^{5} + 10 \, x^{3} - 9 \, x\right)}\right)}}{x^{6} - 657 \, x^{4} - 189 \, x^{2} - 27}\right) + \frac{1}{24} \, \log\left(\frac{x^{6} + 108 \, x^{5} + 549 \, x^{4} + 360 \, x^{3} + 99 \, x^{2} + 6 \, {\left(3 \, x^{4} + 32 \, x^{3} + 42 \, x^{2} + 3\right)} {\left(3 \, x^{2} + 1\right)}^{\frac{2}{3}} + 6 \, {\left(x^{5} + 27 \, x^{4} + 70 \, x^{3} + 18 \, x^{2} + 9 \, x + 3\right)} {\left(3 \, x^{2} + 1\right)}^{\frac{1}{3}} + 108 \, x - 9}{x^{6} + 9 \, x^{4} + 27 \, x^{2} + 27}\right)"," ",0,"1/36*sqrt(3)*arctan((4*sqrt(3)*(3*x^4 - 10*x^3 - 36*x^2 + 18*x + 9)*(3*x^2 + 1)^(2/3) - 4*sqrt(3)*(x^5 + 15*x^4 - 26*x^3 - 54*x^2 + 9*x - 9)*(3*x^2 + 1)^(1/3) + sqrt(3)*(x^6 - 2*x^5 - 105*x^4 - 28*x^3 + 63*x^2 + 126*x + 9))/(x^6 + 126*x^5 - 225*x^4 - 828*x^3 - 81*x^2 - 162*x + 81)) - 1/36*sqrt(3)*arctan(2*(2*sqrt(3)*(23*x^3 + 9*x)*(3*x^2 + 1)^(2/3) + sqrt(3)*(x^5 - 80*x^3 - 9*x)*(3*x^2 + 1)^(1/3) + sqrt(3)*(11*x^5 + 10*x^3 - 9*x))/(x^6 - 657*x^4 - 189*x^2 - 27)) + 1/24*log((x^6 + 108*x^5 + 549*x^4 + 360*x^3 + 99*x^2 + 6*(3*x^4 + 32*x^3 + 42*x^2 + 3)*(3*x^2 + 1)^(2/3) + 6*(x^5 + 27*x^4 + 70*x^3 + 18*x^2 + 9*x + 3)*(3*x^2 + 1)^(1/3) + 108*x - 9)/(x^6 + 9*x^4 + 27*x^2 + 27))","B",0
2253,1,1053,0,6.004668," ","integrate((x^2+1)*(x^5+x^3)^(1/4)/x^2/(x^2-1),x, algorithm=""fricas"")","\frac{4 \cdot 2^{\frac{3}{4}} x \arctan\left(\frac{2 \, x^{6} + 8 \, x^{5} + 12 \, x^{4} + 8 \, x^{3} + 4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(x^{2} - 6 \, x + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{5} + x^{3}} {\left(x^{3} + 2 \, x^{2} + x\right)} + 2 \, x^{2} + \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} x + 2^{\frac{3}{4}} {\left(x^{6} - 16 \, x^{5} - 2 \, x^{4} - 16 \, x^{3} + x^{2}\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{5} + x^{3}} {\left(x^{3} - 6 \, x^{2} + x\right)} + 8 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)}\right)} \sqrt{\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} + 8 \, \sqrt{x^{5} + x^{3}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} + 2 \, x^{3} + x^{2}}} + 8 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(3 \, x^{4} - 2 \, x^{3} + 3 \, x^{2}\right)}}{2 \, {\left(x^{6} - 28 \, x^{5} + 6 \, x^{4} - 28 \, x^{3} + x^{2}\right)}}\right) - 4 \cdot 2^{\frac{3}{4}} x \arctan\left(\frac{2 \, x^{6} + 8 \, x^{5} + 12 \, x^{4} + 8 \, x^{3} - 4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(x^{2} - 6 \, x + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{5} + x^{3}} {\left(x^{3} + 2 \, x^{2} + x\right)} + 2 \, x^{2} + \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} x - 2^{\frac{3}{4}} {\left(x^{6} - 16 \, x^{5} - 2 \, x^{4} - 16 \, x^{3} + x^{2}\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{5} + x^{3}} {\left(x^{3} - 6 \, x^{2} + x\right)} + 8 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)}\right)} \sqrt{-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} - 8 \, \sqrt{x^{5} + x^{3}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} + 2 \, x^{3} + x^{2}}} - 8 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(3 \, x^{4} - 2 \, x^{3} + 3 \, x^{2}\right)}}{2 \, {\left(x^{6} - 28 \, x^{5} + 6 \, x^{4} - 28 \, x^{3} + x^{2}\right)}}\right) - 2^{\frac{3}{4}} x \log\left(\frac{2 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} + 8 \, \sqrt{x^{5} + x^{3}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}\right)}}{x^{4} + 2 \, x^{3} + x^{2}}\right) + 2^{\frac{3}{4}} x \log\left(-\frac{2 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} - 8 \, \sqrt{x^{5} + x^{3}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}\right)}}{x^{4} + 2 \, x^{3} + x^{2}}\right) - 8 \cdot 2^{\frac{1}{4}} x \arctan\left(-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{5} + x^{3}} x + 2^{\frac{1}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{4} - 2 \, x^{3} + x^{2}\right)}}\right) - 2 \cdot 2^{\frac{1}{4}} x \log\left(\frac{4 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{5} + x^{3}} x + 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} - 2 \, x^{3} + x^{2}}\right) + 2 \cdot 2^{\frac{1}{4}} x \log\left(\frac{4 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{5} + x^{3}} x + 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} - 2 \, x^{3} + x^{2}}\right) + 32 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}}}{8 \, x}"," ",0,"1/8*(4*2^(3/4)*x*arctan(1/2*(2*x^6 + 8*x^5 + 12*x^4 + 8*x^3 + 4*2^(3/4)*(x^5 + x^3)^(3/4)*(x^2 - 6*x + 1) + 8*sqrt(2)*sqrt(x^5 + x^3)*(x^3 + 2*x^2 + x) + 2*x^2 + sqrt(2)*(32*sqrt(2)*(x^5 + x^3)^(3/4)*x + 2^(3/4)*(x^6 - 16*x^5 - 2*x^4 - 16*x^3 + x^2) + 4*2^(1/4)*sqrt(x^5 + x^3)*(x^3 - 6*x^2 + x) + 8*(x^5 + x^3)^(1/4)*(x^4 + 2*x^3 + x^2))*sqrt((4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 + sqrt(2)*(x^4 + 2*x^3 + x^2) + 8*sqrt(x^5 + x^3)*x + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 + 2*x^3 + x^2)) + 8*2^(1/4)*(x^5 + x^3)^(1/4)*(3*x^4 - 2*x^3 + 3*x^2))/(x^6 - 28*x^5 + 6*x^4 - 28*x^3 + x^2)) - 4*2^(3/4)*x*arctan(1/2*(2*x^6 + 8*x^5 + 12*x^4 + 8*x^3 - 4*2^(3/4)*(x^5 + x^3)^(3/4)*(x^2 - 6*x + 1) + 8*sqrt(2)*sqrt(x^5 + x^3)*(x^3 + 2*x^2 + x) + 2*x^2 + sqrt(2)*(32*sqrt(2)*(x^5 + x^3)^(3/4)*x - 2^(3/4)*(x^6 - 16*x^5 - 2*x^4 - 16*x^3 + x^2) - 4*2^(1/4)*sqrt(x^5 + x^3)*(x^3 - 6*x^2 + x) + 8*(x^5 + x^3)^(1/4)*(x^4 + 2*x^3 + x^2))*sqrt(-(4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 - sqrt(2)*(x^4 + 2*x^3 + x^2) - 8*sqrt(x^5 + x^3)*x + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 + 2*x^3 + x^2)) - 8*2^(1/4)*(x^5 + x^3)^(1/4)*(3*x^4 - 2*x^3 + 3*x^2))/(x^6 - 28*x^5 + 6*x^4 - 28*x^3 + x^2)) - 2^(3/4)*x*log(2*(4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 + sqrt(2)*(x^4 + 2*x^3 + x^2) + 8*sqrt(x^5 + x^3)*x + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 + 2*x^3 + x^2)) + 2^(3/4)*x*log(-2*(4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 - sqrt(2)*(x^4 + 2*x^3 + x^2) - 8*sqrt(x^5 + x^3)*x + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 + 2*x^3 + x^2)) - 8*2^(1/4)*x*arctan(-1/2*(4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 - 2^(3/4)*(2*2^(3/4)*sqrt(x^5 + x^3)*x + 2^(1/4)*(x^4 + 2*x^3 + x^2)) + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 - 2*x^3 + x^2)) - 2*2^(1/4)*x*log((4*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 + 2^(3/4)*(x^4 + 2*x^3 + x^2) + 4*2^(1/4)*sqrt(x^5 + x^3)*x + 4*(x^5 + x^3)^(3/4))/(x^4 - 2*x^3 + x^2)) + 2*2^(1/4)*x*log((4*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 - 2^(3/4)*(x^4 + 2*x^3 + x^2) - 4*2^(1/4)*sqrt(x^5 + x^3)*x + 4*(x^5 + x^3)^(3/4))/(x^4 - 2*x^3 + x^2)) + 32*(x^5 + x^3)^(1/4))/x","B",0
2254,1,1274,0,91.060902," ","integrate((x^5+x^2+4)*(2*x^5-2*x^4-x^2-2)^(1/4)/x^2/(2*x^5-x^2-2),x, algorithm=""fricas"")","\frac{4 \cdot 8^{\frac{3}{4}} \sqrt{2} x \arctan\left(\frac{32 \, x^{10} - 32 \, x^{7} - 64 \, x^{5} + 8 \, x^{4} + 4 \cdot 8^{\frac{3}{4}} \sqrt{2} {\left(2 \, x^{6} - 8 \, x^{5} - x^{3} - 2 \, x\right)} {\left(2 \, x^{5} - 2 \, x^{4} - x^{2} - 2\right)}^{\frac{3}{4}} + 16 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(6 \, x^{8} - 8 \, x^{7} - 3 \, x^{5} - 6 \, x^{3}\right)} {\left(2 \, x^{5} - 2 \, x^{4} - x^{2} - 2\right)}^{\frac{1}{4}} + 32 \, \sqrt{2} {\left(2 \, x^{7} - x^{4} - 2 \, x^{2}\right)} \sqrt{2 \, x^{5} - 2 \, x^{4} - x^{2} - 2} + 32 \, x^{2} + \sqrt{2} {\left(128 \, \sqrt{2} {\left(2 \, x^{5} - 2 \, x^{4} - x^{2} - 2\right)}^{\frac{3}{4}} x^{5} + 8^{\frac{3}{4}} \sqrt{2} {\left(4 \, x^{10} - 40 \, x^{9} + 32 \, x^{8} - 4 \, x^{7} + 20 \, x^{6} - 8 \, x^{5} + 41 \, x^{4} + 4 \, x^{2} + 4\right)} + 8 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(2 \, x^{7} - 8 \, x^{6} - x^{4} - 2 \, x^{2}\right)} \sqrt{2 \, x^{5} - 2 \, x^{4} - x^{2} - 2} + 32 \, {\left(2 \, x^{8} - x^{5} - 2 \, x^{3}\right)} {\left(2 \, x^{5} - 2 \, x^{4} - x^{2} - 2\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{8^{\frac{3}{4}} \sqrt{2} {\left(2 \, x^{5} - 2 \, x^{4} - x^{2} - 2\right)}^{\frac{1}{4}} x^{3} + 2 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(2 \, x^{5} - 2 \, x^{4} - x^{2} - 2\right)}^{\frac{3}{4}} x + 8 \, \sqrt{2 \, x^{5} - 2 \, x^{4} - x^{2} - 2} x^{2} + \sqrt{2} {\left(2 \, x^{5} - x^{2} - 2\right)}}{2 \, x^{5} - x^{2} - 2}} + 32}{8 \, {\left(4 \, x^{10} - 64 \, x^{9} + 64 \, x^{8} - 4 \, x^{7} + 32 \, x^{6} - 8 \, x^{5} + 65 \, x^{4} + 4 \, x^{2} + 4\right)}}\right) - 4 \cdot 8^{\frac{3}{4}} \sqrt{2} x \arctan\left(\frac{32 \, x^{10} - 32 \, x^{7} - 64 \, x^{5} + 8 \, x^{4} - 4 \cdot 8^{\frac{3}{4}} \sqrt{2} {\left(2 \, x^{6} - 8 \, x^{5} - x^{3} - 2 \, x\right)} {\left(2 \, x^{5} - 2 \, x^{4} - x^{2} - 2\right)}^{\frac{3}{4}} - 16 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(6 \, x^{8} - 8 \, x^{7} - 3 \, x^{5} - 6 \, x^{3}\right)} {\left(2 \, x^{5} - 2 \, x^{4} - x^{2} - 2\right)}^{\frac{1}{4}} + 32 \, \sqrt{2} {\left(2 \, x^{7} - x^{4} - 2 \, x^{2}\right)} \sqrt{2 \, x^{5} - 2 \, x^{4} - x^{2} - 2} + 32 \, x^{2} + \sqrt{2} {\left(128 \, \sqrt{2} {\left(2 \, x^{5} - 2 \, x^{4} - x^{2} - 2\right)}^{\frac{3}{4}} x^{5} - 8^{\frac{3}{4}} \sqrt{2} {\left(4 \, x^{10} - 40 \, x^{9} + 32 \, x^{8} - 4 \, x^{7} + 20 \, x^{6} - 8 \, x^{5} + 41 \, x^{4} + 4 \, x^{2} + 4\right)} - 8 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(2 \, x^{7} - 8 \, x^{6} - x^{4} - 2 \, x^{2}\right)} \sqrt{2 \, x^{5} - 2 \, x^{4} - x^{2} - 2} + 32 \, {\left(2 \, x^{8} - x^{5} - 2 \, x^{3}\right)} {\left(2 \, x^{5} - 2 \, x^{4} - x^{2} - 2\right)}^{\frac{1}{4}}\right)} \sqrt{-\frac{8^{\frac{3}{4}} \sqrt{2} {\left(2 \, x^{5} - 2 \, x^{4} - x^{2} - 2\right)}^{\frac{1}{4}} x^{3} + 2 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(2 \, x^{5} - 2 \, x^{4} - x^{2} - 2\right)}^{\frac{3}{4}} x - 8 \, \sqrt{2 \, x^{5} - 2 \, x^{4} - x^{2} - 2} x^{2} - \sqrt{2} {\left(2 \, x^{5} - x^{2} - 2\right)}}{2 \, x^{5} - x^{2} - 2}} + 32}{8 \, {\left(4 \, x^{10} - 64 \, x^{9} + 64 \, x^{8} - 4 \, x^{7} + 32 \, x^{6} - 8 \, x^{5} + 65 \, x^{4} + 4 \, x^{2} + 4\right)}}\right) - 8^{\frac{3}{4}} \sqrt{2} x \log\left(\frac{8 \, {\left(8^{\frac{3}{4}} \sqrt{2} {\left(2 \, x^{5} - 2 \, x^{4} - x^{2} - 2\right)}^{\frac{1}{4}} x^{3} + 2 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(2 \, x^{5} - 2 \, x^{4} - x^{2} - 2\right)}^{\frac{3}{4}} x + 8 \, \sqrt{2 \, x^{5} - 2 \, x^{4} - x^{2} - 2} x^{2} + \sqrt{2} {\left(2 \, x^{5} - x^{2} - 2\right)}\right)}}{2 \, x^{5} - x^{2} - 2}\right) + 8^{\frac{3}{4}} \sqrt{2} x \log\left(-\frac{8 \, {\left(8^{\frac{3}{4}} \sqrt{2} {\left(2 \, x^{5} - 2 \, x^{4} - x^{2} - 2\right)}^{\frac{1}{4}} x^{3} + 2 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(2 \, x^{5} - 2 \, x^{4} - x^{2} - 2\right)}^{\frac{3}{4}} x - 8 \, \sqrt{2 \, x^{5} - 2 \, x^{4} - x^{2} - 2} x^{2} - \sqrt{2} {\left(2 \, x^{5} - x^{2} - 2\right)}\right)}}{2 \, x^{5} - x^{2} - 2}\right) + 64 \, {\left(2 \, x^{5} - 2 \, x^{4} - x^{2} - 2\right)}^{\frac{1}{4}}}{32 \, x}"," ",0,"1/32*(4*8^(3/4)*sqrt(2)*x*arctan(1/8*(32*x^10 - 32*x^7 - 64*x^5 + 8*x^4 + 4*8^(3/4)*sqrt(2)*(2*x^6 - 8*x^5 - x^3 - 2*x)*(2*x^5 - 2*x^4 - x^2 - 2)^(3/4) + 16*8^(1/4)*sqrt(2)*(6*x^8 - 8*x^7 - 3*x^5 - 6*x^3)*(2*x^5 - 2*x^4 - x^2 - 2)^(1/4) + 32*sqrt(2)*(2*x^7 - x^4 - 2*x^2)*sqrt(2*x^5 - 2*x^4 - x^2 - 2) + 32*x^2 + sqrt(2)*(128*sqrt(2)*(2*x^5 - 2*x^4 - x^2 - 2)^(3/4)*x^5 + 8^(3/4)*sqrt(2)*(4*x^10 - 40*x^9 + 32*x^8 - 4*x^7 + 20*x^6 - 8*x^5 + 41*x^4 + 4*x^2 + 4) + 8*8^(1/4)*sqrt(2)*(2*x^7 - 8*x^6 - x^4 - 2*x^2)*sqrt(2*x^5 - 2*x^4 - x^2 - 2) + 32*(2*x^8 - x^5 - 2*x^3)*(2*x^5 - 2*x^4 - x^2 - 2)^(1/4))*sqrt((8^(3/4)*sqrt(2)*(2*x^5 - 2*x^4 - x^2 - 2)^(1/4)*x^3 + 2*8^(1/4)*sqrt(2)*(2*x^5 - 2*x^4 - x^2 - 2)^(3/4)*x + 8*sqrt(2*x^5 - 2*x^4 - x^2 - 2)*x^2 + sqrt(2)*(2*x^5 - x^2 - 2))/(2*x^5 - x^2 - 2)) + 32)/(4*x^10 - 64*x^9 + 64*x^8 - 4*x^7 + 32*x^6 - 8*x^5 + 65*x^4 + 4*x^2 + 4)) - 4*8^(3/4)*sqrt(2)*x*arctan(1/8*(32*x^10 - 32*x^7 - 64*x^5 + 8*x^4 - 4*8^(3/4)*sqrt(2)*(2*x^6 - 8*x^5 - x^3 - 2*x)*(2*x^5 - 2*x^4 - x^2 - 2)^(3/4) - 16*8^(1/4)*sqrt(2)*(6*x^8 - 8*x^7 - 3*x^5 - 6*x^3)*(2*x^5 - 2*x^4 - x^2 - 2)^(1/4) + 32*sqrt(2)*(2*x^7 - x^4 - 2*x^2)*sqrt(2*x^5 - 2*x^4 - x^2 - 2) + 32*x^2 + sqrt(2)*(128*sqrt(2)*(2*x^5 - 2*x^4 - x^2 - 2)^(3/4)*x^5 - 8^(3/4)*sqrt(2)*(4*x^10 - 40*x^9 + 32*x^8 - 4*x^7 + 20*x^6 - 8*x^5 + 41*x^4 + 4*x^2 + 4) - 8*8^(1/4)*sqrt(2)*(2*x^7 - 8*x^6 - x^4 - 2*x^2)*sqrt(2*x^5 - 2*x^4 - x^2 - 2) + 32*(2*x^8 - x^5 - 2*x^3)*(2*x^5 - 2*x^4 - x^2 - 2)^(1/4))*sqrt(-(8^(3/4)*sqrt(2)*(2*x^5 - 2*x^4 - x^2 - 2)^(1/4)*x^3 + 2*8^(1/4)*sqrt(2)*(2*x^5 - 2*x^4 - x^2 - 2)^(3/4)*x - 8*sqrt(2*x^5 - 2*x^4 - x^2 - 2)*x^2 - sqrt(2)*(2*x^5 - x^2 - 2))/(2*x^5 - x^2 - 2)) + 32)/(4*x^10 - 64*x^9 + 64*x^8 - 4*x^7 + 32*x^6 - 8*x^5 + 65*x^4 + 4*x^2 + 4)) - 8^(3/4)*sqrt(2)*x*log(8*(8^(3/4)*sqrt(2)*(2*x^5 - 2*x^4 - x^2 - 2)^(1/4)*x^3 + 2*8^(1/4)*sqrt(2)*(2*x^5 - 2*x^4 - x^2 - 2)^(3/4)*x + 8*sqrt(2*x^5 - 2*x^4 - x^2 - 2)*x^2 + sqrt(2)*(2*x^5 - x^2 - 2))/(2*x^5 - x^2 - 2)) + 8^(3/4)*sqrt(2)*x*log(-8*(8^(3/4)*sqrt(2)*(2*x^5 - 2*x^4 - x^2 - 2)^(1/4)*x^3 + 2*8^(1/4)*sqrt(2)*(2*x^5 - 2*x^4 - x^2 - 2)^(3/4)*x - 8*sqrt(2*x^5 - 2*x^4 - x^2 - 2)*x^2 - sqrt(2)*(2*x^5 - x^2 - 2))/(2*x^5 - x^2 - 2)) + 64*(2*x^5 - 2*x^4 - x^2 - 2)^(1/4))/x","B",0
2255,1,164,0,1.675806," ","integrate((x^4-1)^2*(x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^2,x, algorithm=""fricas"")","-\frac{2 \, \sqrt{2} {\left(x^{4} + 1\right)} \arctan\left(-\frac{{\left(\sqrt{2} x^{2} - \sqrt{2} \sqrt{x^{4} + 1}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{2 \, x}\right) - 3 \, {\left(x^{4} + 1\right)} \arctan\left(-\frac{4 \, {\left(3 \, x^{9} - 12 \, x^{5} - {\left(3 \, x^{7} - 5 \, x^{3}\right)} \sqrt{x^{4} + 1} + x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{17 \, x^{8} - 46 \, x^{4} + 1}\right) - 4 \, {\left(2 \, x^{5} - \sqrt{x^{4} + 1} x^{3} + 4 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{8 \, {\left(x^{4} + 1\right)}}"," ",0,"-1/8*(2*sqrt(2)*(x^4 + 1)*arctan(-1/2*(sqrt(2)*x^2 - sqrt(2)*sqrt(x^4 + 1))*sqrt(x^2 + sqrt(x^4 + 1))/x) - 3*(x^4 + 1)*arctan(-4*(3*x^9 - 12*x^5 - (3*x^7 - 5*x^3)*sqrt(x^4 + 1) + x)*sqrt(x^2 + sqrt(x^4 + 1))/(17*x^8 - 46*x^4 + 1)) - 4*(2*x^5 - sqrt(x^4 + 1)*x^3 + 4*x)*sqrt(x^2 + sqrt(x^4 + 1)))/(x^4 + 1)","A",0
2256,-1,0,0,0.000000," ","integrate((x^2-1)/(1+x)^(1/2)/(x^2+1)/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2257,-1,0,0,0.000000," ","integrate((x^2-1)/(1+x)^(1/2)/(x^2+1)/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2258,1,100,0,1.307386," ","integrate(1/(1-x^(1/2))^(1/2)-(1-x^(1/2)-x)^(1/2),x, algorithm=""fricas"")","-\frac{1}{12} \, {\left(8 \, x + 2 \, \sqrt{x} - 11\right)} \sqrt{-x - \sqrt{x} + 1} - \frac{4}{3} \, {\left(\sqrt{x} + 2\right)} \sqrt{-\sqrt{x} + 1} - \frac{5}{16} \, \arctan\left(-\frac{{\left(8 \, x^{2} - {\left(16 \, x^{2} - 38 \, x + 11\right)} \sqrt{x} - 9 \, x + 3\right)} \sqrt{-x - \sqrt{x} + 1}}{4 \, {\left(4 \, x^{3} - 13 \, x^{2} + 7 \, x - 1\right)}}\right)"," ",0,"-1/12*(8*x + 2*sqrt(x) - 11)*sqrt(-x - sqrt(x) + 1) - 4/3*(sqrt(x) + 2)*sqrt(-sqrt(x) + 1) - 5/16*arctan(-1/4*(8*x^2 - (16*x^2 - 38*x + 11)*sqrt(x) - 9*x + 3)*sqrt(-x - sqrt(x) + 1)/(4*x^3 - 13*x^2 + 7*x - 1))","A",0
2259,1,300,0,7.396382," ","integrate((-5+x)/(x^2-x-2)^(1/3)/(x^2+4*x-3),x, algorithm=""fricas"")","-\frac{1}{6} \cdot 4^{\frac{1}{6}} \sqrt{3} \arctan\left(\frac{4^{\frac{1}{6}} \sqrt{3} {\left(12 \cdot 4^{\frac{2}{3}} {\left(x^{4} + 5 \, x^{3} + 4 \, x^{2} + 9 \, x - 9\right)} {\left(x^{2} - x - 2\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} {\left(x^{6} + 30 \, x^{5} + 3 \, x^{4} + 100 \, x^{3} - 45 \, x^{2} - 306 \, x - 351\right)} + 12 \, {\left(x^{5} - 9 \, x^{4} + 40 \, x^{2} + 75 \, x + 45\right)} {\left(x^{2} - x - 2\right)}^{\frac{1}{3}}\right)}}{6 \, {\left(x^{6} - 42 \, x^{5} - 69 \, x^{4} + 100 \, x^{3} + 315 \, x^{2} + 486 \, x + 81\right)}}\right) - \frac{1}{24} \cdot 4^{\frac{2}{3}} \log\left(\frac{6 \cdot 4^{\frac{2}{3}} {\left(x^{2} + x + 3\right)} {\left(x^{2} - x - 2\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} {\left(x^{4} - 10 \, x^{3} + 10 \, x^{2} + 30 \, x + 45\right)} - 6 \, {\left(x^{3} - x^{2} + 7 \, x + 9\right)} {\left(x^{2} - x - 2\right)}^{\frac{1}{3}}}{x^{4} + 8 \, x^{3} + 10 \, x^{2} - 24 \, x + 9}\right) + \frac{1}{12} \cdot 4^{\frac{2}{3}} \log\left(\frac{4^{\frac{2}{3}} {\left(x^{2} + 4 \, x - 3\right)} + 6 \cdot 4^{\frac{1}{3}} {\left(x^{2} - x - 2\right)}^{\frac{1}{3}} {\left(x + 1\right)} + 12 \, {\left(x^{2} - x - 2\right)}^{\frac{2}{3}}}{x^{2} + 4 \, x - 3}\right)"," ",0,"-1/6*4^(1/6)*sqrt(3)*arctan(1/6*4^(1/6)*sqrt(3)*(12*4^(2/3)*(x^4 + 5*x^3 + 4*x^2 + 9*x - 9)*(x^2 - x - 2)^(2/3) + 4^(1/3)*(x^6 + 30*x^5 + 3*x^4 + 100*x^3 - 45*x^2 - 306*x - 351) + 12*(x^5 - 9*x^4 + 40*x^2 + 75*x + 45)*(x^2 - x - 2)^(1/3))/(x^6 - 42*x^5 - 69*x^4 + 100*x^3 + 315*x^2 + 486*x + 81)) - 1/24*4^(2/3)*log((6*4^(2/3)*(x^2 + x + 3)*(x^2 - x - 2)^(2/3) + 4^(1/3)*(x^4 - 10*x^3 + 10*x^2 + 30*x + 45) - 6*(x^3 - x^2 + 7*x + 9)*(x^2 - x - 2)^(1/3))/(x^4 + 8*x^3 + 10*x^2 - 24*x + 9)) + 1/12*4^(2/3)*log((4^(2/3)*(x^2 + 4*x - 3) + 6*4^(1/3)*(x^2 - x - 2)^(1/3)*(x + 1) + 12*(x^2 - x - 2)^(2/3))/(x^2 + 4*x - 3))","B",0
2260,-1,0,0,0.000000," ","integrate((-a+x)*(-2*a+b+x)/((-a+x)*(-b+x)^2)^(3/4)/(a+b^2*d-(2*b*d+1)*x+d*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2261,1,316,0,9.960239," ","integrate((1+x)/(x^2+4*x+1)/(-x^3+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{18} \cdot 4^{\frac{1}{6}} \sqrt{3} \arctan\left(\frac{4^{\frac{1}{6}} {\left(12 \cdot 4^{\frac{2}{3}} \sqrt{3} {\left(2 \, x^{4} + 7 \, x^{3} + 7 \, x + 2\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} \sqrt{3} {\left(91 \, x^{6} - 42 \, x^{5} + 105 \, x^{4} - 92 \, x^{3} + 105 \, x^{2} - 42 \, x + 91\right)} - 12 \, \sqrt{3} {\left(19 \, x^{5} - 29 \, x^{4} + 28 \, x^{3} - 28 \, x^{2} + 29 \, x - 19\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}}{6 \, {\left(53 \, x^{6} - 174 \, x^{5} + 111 \, x^{4} - 196 \, x^{3} + 111 \, x^{2} - 174 \, x + 53\right)}}\right) - \frac{1}{72} \cdot 4^{\frac{2}{3}} \log\left(\frac{6 \cdot 4^{\frac{2}{3}} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} {\left(2 \, x^{2} - x + 2\right)} + 4^{\frac{1}{3}} {\left(19 \, x^{4} - 10 \, x^{3} + 18 \, x^{2} - 10 \, x + 19\right)} - 6 \, {\left(5 \, x^{3} - 3 \, x^{2} + 3 \, x - 5\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{x^{4} + 8 \, x^{3} + 18 \, x^{2} + 8 \, x + 1}\right) + \frac{1}{36} \cdot 4^{\frac{2}{3}} \log\left(\frac{4^{\frac{2}{3}} {\left(x^{2} + 4 \, x + 1\right)} - 6 \cdot 4^{\frac{1}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} {\left(x - 1\right)} - 12 \, {\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2} + 4 \, x + 1}\right)"," ",0,"1/18*4^(1/6)*sqrt(3)*arctan(1/6*4^(1/6)*(12*4^(2/3)*sqrt(3)*(2*x^4 + 7*x^3 + 7*x + 2)*(-x^3 + 1)^(2/3) + 4^(1/3)*sqrt(3)*(91*x^6 - 42*x^5 + 105*x^4 - 92*x^3 + 105*x^2 - 42*x + 91) - 12*sqrt(3)*(19*x^5 - 29*x^4 + 28*x^3 - 28*x^2 + 29*x - 19)*(-x^3 + 1)^(1/3))/(53*x^6 - 174*x^5 + 111*x^4 - 196*x^3 + 111*x^2 - 174*x + 53)) - 1/72*4^(2/3)*log((6*4^(2/3)*(-x^3 + 1)^(2/3)*(2*x^2 - x + 2) + 4^(1/3)*(19*x^4 - 10*x^3 + 18*x^2 - 10*x + 19) - 6*(5*x^3 - 3*x^2 + 3*x - 5)*(-x^3 + 1)^(1/3))/(x^4 + 8*x^3 + 18*x^2 + 8*x + 1)) + 1/36*4^(2/3)*log((4^(2/3)*(x^2 + 4*x + 1) - 6*4^(1/3)*(-x^3 + 1)^(1/3)*(x - 1) - 12*(-x^3 + 1)^(2/3))/(x^2 + 4*x + 1))","B",0
2262,-1,0,0,0.000000," ","integrate(x^4/(a*x^4-b)^2/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2263,-1,0,0,0.000000," ","integrate(x^4/(a*x^4-b)^2/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2264,-1,0,0,0.000000," ","integrate(x^4/(a*x^4-b)^2/(a*x^4+b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2265,1,740,0,0.746347," ","integrate(x^8/(x^4-1)^(1/2)/(x^16-1),x, algorithm=""fricas"")","\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{4} - 1\right)} \arctan\left(\frac{2 \, x^{16} + 4 \, x^{8} + \sqrt{2} {\left(2^{\frac{3}{4}} {\left(x^{16} - 20 \, x^{12} + 34 \, x^{8} - 20 \, x^{4} + 1\right)} + 8 \, {\left(x^{11} + x^{3} + 4 \, \sqrt{2} {\left(x^{9} - x^{5}\right)}\right)} \sqrt{x^{4} - 1} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{14} - 9 \, x^{10} + 9 \, x^{6} - x^{2}\right)}\right)} \sqrt{\frac{8 \, x^{6} - 8 \, x^{2} + \sqrt{2} {\left(x^{8} + 1\right)} + 4 \, \sqrt{x^{4} - 1} {\left(2^{\frac{3}{4}} x^{3} + 2^{\frac{1}{4}} {\left(x^{5} - x\right)}\right)}}{x^{8} + 1}} + 8 \, \sqrt{2} {\left(x^{14} - x^{10} + x^{6} - x^{2}\right)} + 4 \, \sqrt{x^{4} - 1} {\left(2^{\frac{3}{4}} {\left(x^{13} - 9 \, x^{9} + 9 \, x^{5} - x\right)} + 2 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{11} - 8 \, x^{7} + 3 \, x^{3}\right)}\right)} + 2}{2 \, {\left(x^{16} - 32 \, x^{12} + 66 \, x^{8} - 32 \, x^{4} + 1\right)}}\right) - 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} - 1\right)} \arctan\left(\frac{2 \, x^{16} + 4 \, x^{8} - \sqrt{2} {\left(2^{\frac{3}{4}} {\left(x^{16} - 20 \, x^{12} + 34 \, x^{8} - 20 \, x^{4} + 1\right)} - 8 \, {\left(x^{11} + x^{3} + 4 \, \sqrt{2} {\left(x^{9} - x^{5}\right)}\right)} \sqrt{x^{4} - 1} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{14} - 9 \, x^{10} + 9 \, x^{6} - x^{2}\right)}\right)} \sqrt{\frac{8 \, x^{6} - 8 \, x^{2} + \sqrt{2} {\left(x^{8} + 1\right)} - 4 \, \sqrt{x^{4} - 1} {\left(2^{\frac{3}{4}} x^{3} + 2^{\frac{1}{4}} {\left(x^{5} - x\right)}\right)}}{x^{8} + 1}} + 8 \, \sqrt{2} {\left(x^{14} - x^{10} + x^{6} - x^{2}\right)} - 4 \, \sqrt{x^{4} - 1} {\left(2^{\frac{3}{4}} {\left(x^{13} - 9 \, x^{9} + 9 \, x^{5} - x\right)} + 2 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{11} - 8 \, x^{7} + 3 \, x^{3}\right)}\right)} + 2}{2 \, {\left(x^{16} - 32 \, x^{12} + 66 \, x^{8} - 32 \, x^{4} + 1\right)}}\right) + 2^{\frac{1}{4}} {\left(x^{4} - 1\right)} \log\left(\frac{8 \, {\left(8 \, x^{6} - 8 \, x^{2} + \sqrt{2} {\left(x^{8} + 1\right)} + 4 \, \sqrt{x^{4} - 1} {\left(2^{\frac{3}{4}} x^{3} + 2^{\frac{1}{4}} {\left(x^{5} - x\right)}\right)}\right)}}{x^{8} + 1}\right) - 2^{\frac{1}{4}} {\left(x^{4} - 1\right)} \log\left(\frac{8 \, {\left(8 \, x^{6} - 8 \, x^{2} + \sqrt{2} {\left(x^{8} + 1\right)} - 4 \, \sqrt{x^{4} - 1} {\left(2^{\frac{3}{4}} x^{3} + 2^{\frac{1}{4}} {\left(x^{5} - x\right)}\right)}\right)}}{x^{8} + 1}\right) + 4 \, {\left(x^{4} - 1\right)} \arctan\left(\frac{\sqrt{x^{4} - 1} x}{x^{2} + 1}\right) + 2 \, {\left(x^{4} - 1\right)} \log\left(\frac{x^{4} + 2 \, x^{2} - 2 \, \sqrt{x^{4} - 1} x - 1}{x^{4} + 1}\right) - 8 \, \sqrt{x^{4} - 1} x}{64 \, {\left(x^{4} - 1\right)}}"," ",0,"1/64*(4*2^(1/4)*(x^4 - 1)*arctan(1/2*(2*x^16 + 4*x^8 + sqrt(2)*(2^(3/4)*(x^16 - 20*x^12 + 34*x^8 - 20*x^4 + 1) + 8*(x^11 + x^3 + 4*sqrt(2)*(x^9 - x^5))*sqrt(x^4 - 1) + 4*2^(1/4)*(x^14 - 9*x^10 + 9*x^6 - x^2))*sqrt((8*x^6 - 8*x^2 + sqrt(2)*(x^8 + 1) + 4*sqrt(x^4 - 1)*(2^(3/4)*x^3 + 2^(1/4)*(x^5 - x)))/(x^8 + 1)) + 8*sqrt(2)*(x^14 - x^10 + x^6 - x^2) + 4*sqrt(x^4 - 1)*(2^(3/4)*(x^13 - 9*x^9 + 9*x^5 - x) + 2*2^(1/4)*(3*x^11 - 8*x^7 + 3*x^3)) + 2)/(x^16 - 32*x^12 + 66*x^8 - 32*x^4 + 1)) - 4*2^(1/4)*(x^4 - 1)*arctan(1/2*(2*x^16 + 4*x^8 - sqrt(2)*(2^(3/4)*(x^16 - 20*x^12 + 34*x^8 - 20*x^4 + 1) - 8*(x^11 + x^3 + 4*sqrt(2)*(x^9 - x^5))*sqrt(x^4 - 1) + 4*2^(1/4)*(x^14 - 9*x^10 + 9*x^6 - x^2))*sqrt((8*x^6 - 8*x^2 + sqrt(2)*(x^8 + 1) - 4*sqrt(x^4 - 1)*(2^(3/4)*x^3 + 2^(1/4)*(x^5 - x)))/(x^8 + 1)) + 8*sqrt(2)*(x^14 - x^10 + x^6 - x^2) - 4*sqrt(x^4 - 1)*(2^(3/4)*(x^13 - 9*x^9 + 9*x^5 - x) + 2*2^(1/4)*(3*x^11 - 8*x^7 + 3*x^3)) + 2)/(x^16 - 32*x^12 + 66*x^8 - 32*x^4 + 1)) + 2^(1/4)*(x^4 - 1)*log(8*(8*x^6 - 8*x^2 + sqrt(2)*(x^8 + 1) + 4*sqrt(x^4 - 1)*(2^(3/4)*x^3 + 2^(1/4)*(x^5 - x)))/(x^8 + 1)) - 2^(1/4)*(x^4 - 1)*log(8*(8*x^6 - 8*x^2 + sqrt(2)*(x^8 + 1) - 4*sqrt(x^4 - 1)*(2^(3/4)*x^3 + 2^(1/4)*(x^5 - x)))/(x^8 + 1)) + 4*(x^4 - 1)*arctan(sqrt(x^4 - 1)*x/(x^2 + 1)) + 2*(x^4 - 1)*log((x^4 + 2*x^2 - 2*sqrt(x^4 - 1)*x - 1)/(x^4 + 1)) - 8*sqrt(x^4 - 1)*x)/(x^4 - 1)","B",0
2266,-1,0,0,0.000000," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/(a*x^2+b^2)^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2267,1,333,0,1.770247," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/(x^2+1),x, algorithm=""fricas"")","\sqrt{\sqrt{2} - 1} \arctan\left(\frac{{\left(\sqrt{2} x^{2} + x^{2} + \sqrt{x^{4} + 1} {\left({\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 3} - \sqrt{2} - 1\right)} - {\left(x^{2} + \sqrt{2} {\left(x^{2} + 2\right)} + 3\right)} \sqrt{-2 \, \sqrt{2} + 3} + 1\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} - 1}}{2 \, x}\right) + \frac{1}{4} \, \sqrt{2} \log\left(4 \, x^{4} + 4 \, \sqrt{x^{4} + 1} x^{2} + 2 \, {\left(\sqrt{2} x^{3} + \sqrt{2} \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 1\right) - \frac{1}{4} \, \sqrt{\sqrt{2} + 1} \log\left(\frac{\sqrt{2} x^{2} + 2 \, x^{2} + {\left(x^{3} + \sqrt{2} x - \sqrt{x^{4} + 1} x + x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} + 1} + \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)}}{x^{2} + 1}\right) + \frac{1}{4} \, \sqrt{\sqrt{2} + 1} \log\left(\frac{\sqrt{2} x^{2} + 2 \, x^{2} - {\left(x^{3} + \sqrt{2} x - \sqrt{x^{4} + 1} x + x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} + 1} + \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)}}{x^{2} + 1}\right)"," ",0,"sqrt(sqrt(2) - 1)*arctan(1/2*(sqrt(2)*x^2 + x^2 + sqrt(x^4 + 1)*((sqrt(2) + 1)*sqrt(-2*sqrt(2) + 3) - sqrt(2) - 1) - (x^2 + sqrt(2)*(x^2 + 2) + 3)*sqrt(-2*sqrt(2) + 3) + 1)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) - 1)/x) + 1/4*sqrt(2)*log(4*x^4 + 4*sqrt(x^4 + 1)*x^2 + 2*(sqrt(2)*x^3 + sqrt(2)*sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1) - 1/4*sqrt(sqrt(2) + 1)*log((sqrt(2)*x^2 + 2*x^2 + (x^3 + sqrt(2)*x - sqrt(x^4 + 1)*x + x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) + 1) + sqrt(x^4 + 1)*(sqrt(2) + 1))/(x^2 + 1)) + 1/4*sqrt(sqrt(2) + 1)*log((sqrt(2)*x^2 + 2*x^2 - (x^3 + sqrt(2)*x - sqrt(x^4 + 1)*x + x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) + 1) + sqrt(x^4 + 1)*(sqrt(2) + 1))/(x^2 + 1))","B",0
2268,1,1037,0,146.076871," ","integrate((1-(1-(1-1/x^2)^(1/2))^(1/2))^(1/2)/x,x, algorithm=""fricas"")","-\sqrt{\sqrt{2} - 1} \arctan\left(-\frac{2 \, \sqrt{2} {\left(21008 \, x^{4} + 608 \, x^{2} + \sqrt{2} {\left(15192 \, x^{4} - 163 \, x^{2}\right)} + {\left(32368 \, x^{4} + 248 \, x^{2} + \sqrt{2} {\left(22856 \, x^{4} + 231 \, x^{2}\right)}\right)} \sqrt{\frac{x^{2} - 1}{x^{2}}}\right)} \sqrt{141401 \, \sqrt{2} - 198689} \sqrt{\sqrt{2} - 1} \sqrt{-\sqrt{\frac{x^{2} - 1}{x^{2}}} + 1} + \sqrt{2} {\left(68704 \, x^{4} - 76436 \, x^{2} + \sqrt{2} {\left(49408 \, x^{4} - 55516 \, x^{2} - 479\right)} + 4 \, {\left(9512 \, x^{4} + 17 \, x^{2} + \sqrt{2} {\left(6672 \, x^{4} + 107 \, x^{2}\right)}\right)} \sqrt{\frac{x^{2} - 1}{x^{2}}} - 710\right)} \sqrt{141401 \, \sqrt{2} - 198689} \sqrt{\sqrt{2} - 1} - 90436 \, {\left({\left(40 \, x^{4} - 5 \, x^{2} + 4 \, \sqrt{2} {\left(6 \, x^{4} + x^{2}\right)} + {\left(40 \, \sqrt{2} x^{4} + 56 \, x^{4} + x^{2}\right)} \sqrt{\frac{x^{2} - 1}{x^{2}}}\right)} \sqrt{\sqrt{2} - 1} \sqrt{-\sqrt{\frac{x^{2} - 1}{x^{2}}} + 1} + {\left(32 \, x^{4} - 18 \, x^{2} + \sqrt{2} {\left(8 \, x^{4} + 13 \, x^{2}\right)} + {\left(32 \, x^{4} + 2 \, x^{2} + \sqrt{2} {\left(24 \, x^{4} - x^{2}\right)}\right)} \sqrt{\frac{x^{2} - 1}{x^{2}}}\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-\sqrt{-\sqrt{\frac{x^{2} - 1}{x^{2}}} + 1} + 1}}{45218 \, {\left(64 \, x^{4} - 112 \, x^{2} - 1\right)}}\right) + \frac{1}{4} \, \sqrt{\sqrt{2} + 1} \log\left(4 \, {\left(479 \, \sqrt{2} x^{2} + 710 \, x^{2} - {\left(479 \, \sqrt{2} x^{2} + 710 \, x^{2}\right)} \sqrt{\frac{x^{2} - 1}{x^{2}}}\right)} \sqrt{\sqrt{2} + 1} \sqrt{-\sqrt{\frac{x^{2} - 1}{x^{2}}} + 1} - 2 \, {\left(1916 \, x^{2} + \sqrt{2} {\left(1420 \, x^{2} - 231\right)} - 4 \, {\left(355 \, \sqrt{2} x^{2} + 479 \, x^{2}\right)} \sqrt{\frac{x^{2} - 1}{x^{2}}} - 248\right)} \sqrt{\sqrt{2} + 1} - 4 \, {\left(710 \, \sqrt{2} x^{2} + 958 \, x^{2} - {\left(479 \, \sqrt{2} x^{2} + 710 \, x^{2} - {\left(479 \, \sqrt{2} x^{2} + 710 \, x^{2}\right)} \sqrt{\frac{x^{2} - 1}{x^{2}}}\right)} \sqrt{-\sqrt{\frac{x^{2} - 1}{x^{2}}} + 1} - 2 \, {\left(355 \, \sqrt{2} x^{2} + 479 \, x^{2}\right)} \sqrt{\frac{x^{2} - 1}{x^{2}}}\right)} \sqrt{-\sqrt{-\sqrt{\frac{x^{2} - 1}{x^{2}}} + 1} + 1}\right) - \frac{1}{4} \, \sqrt{\sqrt{2} + 1} \log\left(-4 \, {\left(479 \, \sqrt{2} x^{2} + 710 \, x^{2} - {\left(479 \, \sqrt{2} x^{2} + 710 \, x^{2}\right)} \sqrt{\frac{x^{2} - 1}{x^{2}}}\right)} \sqrt{\sqrt{2} + 1} \sqrt{-\sqrt{\frac{x^{2} - 1}{x^{2}}} + 1} + 2 \, {\left(1916 \, x^{2} + \sqrt{2} {\left(1420 \, x^{2} - 231\right)} - 4 \, {\left(355 \, \sqrt{2} x^{2} + 479 \, x^{2}\right)} \sqrt{\frac{x^{2} - 1}{x^{2}}} - 248\right)} \sqrt{\sqrt{2} + 1} - 4 \, {\left(710 \, \sqrt{2} x^{2} + 958 \, x^{2} - {\left(479 \, \sqrt{2} x^{2} + 710 \, x^{2} - {\left(479 \, \sqrt{2} x^{2} + 710 \, x^{2}\right)} \sqrt{\frac{x^{2} - 1}{x^{2}}}\right)} \sqrt{-\sqrt{\frac{x^{2} - 1}{x^{2}}} + 1} - 2 \, {\left(355 \, \sqrt{2} x^{2} + 479 \, x^{2}\right)} \sqrt{\frac{x^{2} - 1}{x^{2}}}\right)} \sqrt{-\sqrt{-\sqrt{\frac{x^{2} - 1}{x^{2}}} + 1} + 1}\right) - 4 \, \sqrt{-\sqrt{-\sqrt{\frac{x^{2} - 1}{x^{2}}} + 1} + 1} + \log\left(-2 \, {\left(x^{2} \sqrt{\frac{x^{2} - 1}{x^{2}}} + x^{2}\right)} \sqrt{-\sqrt{-\sqrt{\frac{x^{2} - 1}{x^{2}}} + 1} + 1} \sqrt{-\sqrt{\frac{x^{2} - 1}{x^{2}}} + 1} - 2 \, {\left(x^{2} \sqrt{\frac{x^{2} - 1}{x^{2}}} + x^{2}\right)} \sqrt{-\sqrt{\frac{x^{2} - 1}{x^{2}}} + 1} + 1\right)"," ",0,"-sqrt(sqrt(2) - 1)*arctan(-1/45218*(2*sqrt(2)*(21008*x^4 + 608*x^2 + sqrt(2)*(15192*x^4 - 163*x^2) + (32368*x^4 + 248*x^2 + sqrt(2)*(22856*x^4 + 231*x^2))*sqrt((x^2 - 1)/x^2))*sqrt(141401*sqrt(2) - 198689)*sqrt(sqrt(2) - 1)*sqrt(-sqrt((x^2 - 1)/x^2) + 1) + sqrt(2)*(68704*x^4 - 76436*x^2 + sqrt(2)*(49408*x^4 - 55516*x^2 - 479) + 4*(9512*x^4 + 17*x^2 + sqrt(2)*(6672*x^4 + 107*x^2))*sqrt((x^2 - 1)/x^2) - 710)*sqrt(141401*sqrt(2) - 198689)*sqrt(sqrt(2) - 1) - 90436*((40*x^4 - 5*x^2 + 4*sqrt(2)*(6*x^4 + x^2) + (40*sqrt(2)*x^4 + 56*x^4 + x^2)*sqrt((x^2 - 1)/x^2))*sqrt(sqrt(2) - 1)*sqrt(-sqrt((x^2 - 1)/x^2) + 1) + (32*x^4 - 18*x^2 + sqrt(2)*(8*x^4 + 13*x^2) + (32*x^4 + 2*x^2 + sqrt(2)*(24*x^4 - x^2))*sqrt((x^2 - 1)/x^2))*sqrt(sqrt(2) - 1))*sqrt(-sqrt(-sqrt((x^2 - 1)/x^2) + 1) + 1))/(64*x^4 - 112*x^2 - 1)) + 1/4*sqrt(sqrt(2) + 1)*log(4*(479*sqrt(2)*x^2 + 710*x^2 - (479*sqrt(2)*x^2 + 710*x^2)*sqrt((x^2 - 1)/x^2))*sqrt(sqrt(2) + 1)*sqrt(-sqrt((x^2 - 1)/x^2) + 1) - 2*(1916*x^2 + sqrt(2)*(1420*x^2 - 231) - 4*(355*sqrt(2)*x^2 + 479*x^2)*sqrt((x^2 - 1)/x^2) - 248)*sqrt(sqrt(2) + 1) - 4*(710*sqrt(2)*x^2 + 958*x^2 - (479*sqrt(2)*x^2 + 710*x^2 - (479*sqrt(2)*x^2 + 710*x^2)*sqrt((x^2 - 1)/x^2))*sqrt(-sqrt((x^2 - 1)/x^2) + 1) - 2*(355*sqrt(2)*x^2 + 479*x^2)*sqrt((x^2 - 1)/x^2))*sqrt(-sqrt(-sqrt((x^2 - 1)/x^2) + 1) + 1)) - 1/4*sqrt(sqrt(2) + 1)*log(-4*(479*sqrt(2)*x^2 + 710*x^2 - (479*sqrt(2)*x^2 + 710*x^2)*sqrt((x^2 - 1)/x^2))*sqrt(sqrt(2) + 1)*sqrt(-sqrt((x^2 - 1)/x^2) + 1) + 2*(1916*x^2 + sqrt(2)*(1420*x^2 - 231) - 4*(355*sqrt(2)*x^2 + 479*x^2)*sqrt((x^2 - 1)/x^2) - 248)*sqrt(sqrt(2) + 1) - 4*(710*sqrt(2)*x^2 + 958*x^2 - (479*sqrt(2)*x^2 + 710*x^2 - (479*sqrt(2)*x^2 + 710*x^2)*sqrt((x^2 - 1)/x^2))*sqrt(-sqrt((x^2 - 1)/x^2) + 1) - 2*(355*sqrt(2)*x^2 + 479*x^2)*sqrt((x^2 - 1)/x^2))*sqrt(-sqrt(-sqrt((x^2 - 1)/x^2) + 1) + 1)) - 4*sqrt(-sqrt(-sqrt((x^2 - 1)/x^2) + 1) + 1) + log(-2*(x^2*sqrt((x^2 - 1)/x^2) + x^2)*sqrt(-sqrt(-sqrt((x^2 - 1)/x^2) + 1) + 1)*sqrt(-sqrt((x^2 - 1)/x^2) + 1) - 2*(x^2*sqrt((x^2 - 1)/x^2) + x^2)*sqrt(-sqrt((x^2 - 1)/x^2) + 1) + 1)","B",0
2269,1,301,0,3.309183," ","integrate(1/(1+x)/(-x^3+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{3} 2^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} 2^{\frac{1}{6}} {\left(2^{\frac{5}{6}} {\left(13 \, x^{6} + 2 \, x^{5} + 19 \, x^{4} - 4 \, x^{3} + 19 \, x^{2} + 2 \, x + 13\right)} - 4 \, \sqrt{2} {\left(5 \, x^{5} - 5 \, x^{4} + 6 \, x^{3} - 6 \, x^{2} + 5 \, x - 5\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 16 \cdot 2^{\frac{1}{6}} {\left(x^{4} + 2 \, x^{3} + 2 \, x^{2} + 2 \, x + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}}\right)}}{6 \, {\left(3 \, x^{6} - 18 \, x^{5} - 3 \, x^{4} - 28 \, x^{3} - 3 \, x^{2} - 18 \, x + 3\right)}}\right) - \frac{1}{24} \cdot 2^{\frac{2}{3}} \log\left(\frac{4 \cdot 2^{\frac{2}{3}} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} {\left(x^{2} + 1\right)} + 2^{\frac{1}{3}} {\left(5 \, x^{4} + 6 \, x^{2} + 5\right)} - 2 \, {\left(3 \, x^{3} - x^{2} + x - 3\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right) + \frac{1}{12} \cdot 2^{\frac{2}{3}} \log\left(\frac{2^{\frac{2}{3}} {\left(x^{2} + 2 \, x + 1\right)} - 2 \cdot 2^{\frac{1}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} {\left(x - 1\right)} - 4 \, {\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2} + 2 \, x + 1}\right)"," ",0,"1/12*sqrt(3)*2^(2/3)*arctan(1/6*sqrt(3)*2^(1/6)*(2^(5/6)*(13*x^6 + 2*x^5 + 19*x^4 - 4*x^3 + 19*x^2 + 2*x + 13) - 4*sqrt(2)*(5*x^5 - 5*x^4 + 6*x^3 - 6*x^2 + 5*x - 5)*(-x^3 + 1)^(1/3) + 16*2^(1/6)*(x^4 + 2*x^3 + 2*x^2 + 2*x + 1)*(-x^3 + 1)^(2/3))/(3*x^6 - 18*x^5 - 3*x^4 - 28*x^3 - 3*x^2 - 18*x + 3)) - 1/24*2^(2/3)*log((4*2^(2/3)*(-x^3 + 1)^(2/3)*(x^2 + 1) + 2^(1/3)*(5*x^4 + 6*x^2 + 5) - 2*(3*x^3 - x^2 + x - 3)*(-x^3 + 1)^(1/3))/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1)) + 1/12*2^(2/3)*log((2^(2/3)*(x^2 + 2*x + 1) - 2*2^(1/3)*(-x^3 + 1)^(1/3)*(x - 1) - 4*(-x^3 + 1)^(2/3))/(x^2 + 2*x + 1))","B",0
2270,-1,0,0,0.000000," ","integrate((a*b-2*b*x+x^2)*(b^2-2*b*x+x^2)/(x*(-a+x)*(-b+x)^3)^(3/4)/(b*d-(a+d)*x+x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2271,-1,0,0,0.000000," ","integrate((-2*a*b+(a+b)*x)/(x*(-a+x)*(-b+x))^(1/3)/(-a*b+(a+b)*x+(-1+d)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2272,1,289,0,4.093406," ","integrate((x^3-1)^(2/3)*(x^3+1)/x^6/(x^3+2),x, algorithm=""fricas"")","\frac{10 \cdot 12^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} x^{5} \log\left(-\frac{18 \cdot 12^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 12^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{3} + 2\right)} - 36 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x}{x^{3} + 2}\right) - 5 \cdot 12^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} x^{5} \log\left(-\frac{6 \cdot 12^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(4 \, x^{4} - x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} - 12^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(55 \, x^{6} - 50 \, x^{3} + 4\right)} - 18 \, {\left(7 \, x^{5} - 4 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x^{6} + 4 \, x^{3} + 4}\right) - 60 \cdot 12^{\frac{1}{6}} \left(-1\right)^{\frac{1}{3}} x^{5} \arctan\left(\frac{12^{\frac{1}{6}} {\left(12 \cdot 12^{\frac{2}{3}} \left(-1\right)^{\frac{2}{3}} {\left(4 \, x^{7} + 7 \, x^{4} - 2 \, x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} + 36 \, \left(-1\right)^{\frac{1}{3}} {\left(55 \, x^{8} - 50 \, x^{5} + 4 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}} - 12^{\frac{1}{3}} {\left(377 \, x^{9} - 600 \, x^{6} + 204 \, x^{3} - 8\right)}\right)}}{6 \, {\left(487 \, x^{9} - 480 \, x^{6} + 12 \, x^{3} + 8\right)}}\right) - 36 \, {\left(x^{3} + 4\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{1440 \, x^{5}}"," ",0,"1/1440*(10*12^(2/3)*(-1)^(1/3)*x^5*log(-(18*12^(1/3)*(-1)^(2/3)*(x^3 - 1)^(1/3)*x^2 + 12^(2/3)*(-1)^(1/3)*(x^3 + 2) - 36*(x^3 - 1)^(2/3)*x)/(x^3 + 2)) - 5*12^(2/3)*(-1)^(1/3)*x^5*log(-(6*12^(2/3)*(-1)^(1/3)*(4*x^4 - x)*(x^3 - 1)^(2/3) - 12^(1/3)*(-1)^(2/3)*(55*x^6 - 50*x^3 + 4) - 18*(7*x^5 - 4*x^2)*(x^3 - 1)^(1/3))/(x^6 + 4*x^3 + 4)) - 60*12^(1/6)*(-1)^(1/3)*x^5*arctan(1/6*12^(1/6)*(12*12^(2/3)*(-1)^(2/3)*(4*x^7 + 7*x^4 - 2*x)*(x^3 - 1)^(2/3) + 36*(-1)^(1/3)*(55*x^8 - 50*x^5 + 4*x^2)*(x^3 - 1)^(1/3) - 12^(1/3)*(377*x^9 - 600*x^6 + 204*x^3 - 8))/(487*x^9 - 480*x^6 + 12*x^3 + 8)) - 36*(x^3 + 4)*(x^3 - 1)^(2/3))/x^5","B",0
2273,1,213,0,0.636561," ","integrate(1/(1+x)/(-2*x^4+3*x^3-2*x^2+3*x-2)^(3/2),x, algorithm=""fricas"")","-\frac{819 \, \sqrt{5} {\left(2 \, x^{5} - 5 \, x^{4} + 5 \, x^{3} - 5 \, x^{2} + 5 \, x - 2\right)} \arctan\left(\frac{\sqrt{5} \sqrt{-2 \, x^{4} + 3 \, x^{3} - 2 \, x^{2} + 3 \, x - 2} {\left(x + 1\right)}}{2 \, {\left(2 \, x^{3} - x^{2} + x - 2\right)}}\right) + 250 \, \sqrt{3} {\left(2 \, x^{5} - 5 \, x^{4} + 5 \, x^{3} - 5 \, x^{2} + 5 \, x - 2\right)} \arctan\left(\frac{\sqrt{3} \sqrt{-2 \, x^{4} + 3 \, x^{3} - 2 \, x^{2} + 3 \, x - 2}}{2 \, {\left(2 \, x^{2} + x + 2\right)}}\right) - 30 \, \sqrt{-2 \, x^{4} + 3 \, x^{3} - 2 \, x^{2} + 3 \, x - 2} {\left(22 \, x^{3} + 73 \, x^{2} - 107 \, x - 18\right)}}{18000 \, {\left(2 \, x^{5} - 5 \, x^{4} + 5 \, x^{3} - 5 \, x^{2} + 5 \, x - 2\right)}}"," ",0,"-1/18000*(819*sqrt(5)*(2*x^5 - 5*x^4 + 5*x^3 - 5*x^2 + 5*x - 2)*arctan(1/2*sqrt(5)*sqrt(-2*x^4 + 3*x^3 - 2*x^2 + 3*x - 2)*(x + 1)/(2*x^3 - x^2 + x - 2)) + 250*sqrt(3)*(2*x^5 - 5*x^4 + 5*x^3 - 5*x^2 + 5*x - 2)*arctan(1/2*sqrt(3)*sqrt(-2*x^4 + 3*x^3 - 2*x^2 + 3*x - 2)/(2*x^2 + x + 2)) - 30*sqrt(-2*x^4 + 3*x^3 - 2*x^2 + 3*x - 2)*(22*x^3 + 73*x^2 - 107*x - 18))/(2*x^5 - 5*x^4 + 5*x^3 - 5*x^2 + 5*x - 2)","A",0
2274,1,2015,0,0.835335," ","integrate(x^2*(x^4+x^3)^(1/4)/(x^4-1),x, algorithm=""fricas"")","\frac{1}{8} \cdot 2^{\frac{5}{8}} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \sqrt{-2 \, \sqrt{2} + 4} \arctan\left(\frac{2^{\frac{3}{8}} {\left(\sqrt{2} {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} {\left(\sqrt{2} x + x\right)}\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \sqrt{\frac{4 \cdot 2^{\frac{1}{4}} x^{2} + 2^{\frac{1}{8}} {\left({\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 2 \cdot 2^{\frac{3}{8}} {\left(\sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)}\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} - 4 \, \sqrt{2} x + 4 \, {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, x}{4 \, x}\right) + \frac{1}{8} \cdot 2^{\frac{5}{8}} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \sqrt{-2 \, \sqrt{2} + 4} \arctan\left(\frac{2^{\frac{3}{8}} {\left(\sqrt{2} {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} {\left(\sqrt{2} x + x\right)}\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \sqrt{\frac{4 \cdot 2^{\frac{1}{4}} x^{2} - 2^{\frac{1}{8}} {\left({\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 2 \cdot 2^{\frac{3}{8}} {\left(\sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)}\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{2} x - 4 \, {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, x}{4 \, x}\right) + \frac{1}{8} \cdot 2^{\frac{5}{8}} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \sqrt{-2 \, \sqrt{2} + 4} \arctan\left(\frac{2^{\frac{3}{8}} {\left(\sqrt{2} {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} {\left(\sqrt{2} x + x\right)}\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \sqrt{\frac{4 \cdot 2^{\frac{1}{4}} x^{2} + 2^{\frac{1}{8}} {\left({\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 2 \cdot 2^{\frac{3}{8}} {\left(\sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)}\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} - 4 \, \sqrt{2} x - 4 \, {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, x}{4 \, x}\right) + \frac{1}{8} \cdot 2^{\frac{5}{8}} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \sqrt{-2 \, \sqrt{2} + 4} \arctan\left(\frac{2^{\frac{3}{8}} {\left(\sqrt{2} {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} {\left(\sqrt{2} x + x\right)}\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \sqrt{\frac{4 \cdot 2^{\frac{1}{4}} x^{2} - 2^{\frac{1}{8}} {\left({\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 2 \cdot 2^{\frac{3}{8}} {\left(\sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)}\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{2} x + 4 \, {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, x}{4 \, x}\right) - \frac{1}{32} \cdot 2^{\frac{1}{8}} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} {\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4\right)} \log\left(\frac{4 \cdot 2^{\frac{1}{4}} x^{2} + 2^{\frac{1}{8}} {\left({\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} + x^{3}}}{4 \, x^{2}}\right) + \frac{1}{32} \cdot 2^{\frac{1}{8}} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} {\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4\right)} \log\left(\frac{4 \cdot 2^{\frac{1}{4}} x^{2} - 2^{\frac{1}{8}} {\left({\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} + x^{3}}}{4 \, x^{2}}\right) - \frac{1}{32} \cdot 2^{\frac{1}{8}} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} {\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4\right)} \log\left(\frac{4 \cdot 2^{\frac{1}{4}} x^{2} + 2^{\frac{1}{8}} {\left({\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} + x^{3}}}{4 \, x^{2}}\right) + \frac{1}{32} \cdot 2^{\frac{1}{8}} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} {\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4\right)} \log\left(\frac{4 \cdot 2^{\frac{1}{4}} x^{2} - 2^{\frac{1}{8}} {\left({\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} + x^{3}}}{4 \, x^{2}}\right) + \frac{1}{4} \cdot 8^{\frac{3}{4}} \arctan\left(\frac{8^{\frac{1}{4}} x \sqrt{\frac{\sqrt{2} x^{2} + \sqrt{x^{4} + x^{3}}}{x^{2}}} - 8^{\frac{1}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{2 \, x}\right) - \frac{1}{16} \cdot 8^{\frac{3}{4}} \log\left(\frac{8^{\frac{3}{4}} x + 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{16} \cdot 8^{\frac{3}{4}} \log\left(-\frac{8^{\frac{3}{4}} x - 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 2 \, \arctan\left(\frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \log\left(\frac{x + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \log\left(-\frac{x - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"1/8*2^(5/8)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*sqrt(-2*sqrt(2) + 4)*arctan(1/4*(2^(3/8)*(sqrt(2)*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) - sqrt(2)*(sqrt(2)*x + x))*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*sqrt((4*2^(1/4)*x^2 + 2^(1/8)*((x^4 + x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 4*(x^4 + x^3)^(1/4)*x)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 + x^3))/x^2) - 2*2^(3/8)*(sqrt(2)*(x^4 + x^3)^(1/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - sqrt(2)*(x^4 + x^3)^(1/4)*(sqrt(2) + 1))*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) - 4*sqrt(2)*x + 4*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) - 4*x)/x) + 1/8*2^(5/8)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*sqrt(-2*sqrt(2) + 4)*arctan(1/4*(2^(3/8)*(sqrt(2)*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) - sqrt(2)*(sqrt(2)*x + x))*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*sqrt((4*2^(1/4)*x^2 - 2^(1/8)*((x^4 + x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 4*(x^4 + x^3)^(1/4)*x)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 + x^3))/x^2) - 2*2^(3/8)*(sqrt(2)*(x^4 + x^3)^(1/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - sqrt(2)*(x^4 + x^3)^(1/4)*(sqrt(2) + 1))*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(2)*x - 4*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) + 4*x)/x) + 1/8*2^(5/8)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*sqrt(-2*sqrt(2) + 4)*arctan(1/4*(2^(3/8)*(sqrt(2)*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) + sqrt(2)*(sqrt(2)*x + x))*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*sqrt((4*2^(1/4)*x^2 + 2^(1/8)*((x^4 + x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) + 4*(x^4 + x^3)^(1/4)*x)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 + x^3))/x^2) - 2*2^(3/8)*(sqrt(2)*(x^4 + x^3)^(1/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) + sqrt(2)*(x^4 + x^3)^(1/4)*(sqrt(2) + 1))*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) - 4*sqrt(2)*x - 4*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) - 4*x)/x) + 1/8*2^(5/8)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*sqrt(-2*sqrt(2) + 4)*arctan(1/4*(2^(3/8)*(sqrt(2)*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) + sqrt(2)*(sqrt(2)*x + x))*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*sqrt((4*2^(1/4)*x^2 - 2^(1/8)*((x^4 + x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) + 4*(x^4 + x^3)^(1/4)*x)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 + x^3))/x^2) - 2*2^(3/8)*(sqrt(2)*(x^4 + x^3)^(1/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) + sqrt(2)*(x^4 + x^3)^(1/4)*(sqrt(2) + 1))*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(2)*x + 4*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) + 4*x)/x) - 1/32*2^(1/8)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) - 4)*log(1/4*(4*2^(1/4)*x^2 + 2^(1/8)*((x^4 + x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 4*(x^4 + x^3)^(1/4)*x)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 + x^3))/x^2) + 1/32*2^(1/8)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) - 4)*log(1/4*(4*2^(1/4)*x^2 - 2^(1/8)*((x^4 + x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 4*(x^4 + x^3)^(1/4)*x)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 + x^3))/x^2) - 1/32*2^(1/8)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 4)*log(1/4*(4*2^(1/4)*x^2 + 2^(1/8)*((x^4 + x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) + 4*(x^4 + x^3)^(1/4)*x)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 + x^3))/x^2) + 1/32*2^(1/8)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 4)*log(1/4*(4*2^(1/4)*x^2 - 2^(1/8)*((x^4 + x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) + 4*(x^4 + x^3)^(1/4)*x)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 + x^3))/x^2) + 1/4*8^(3/4)*arctan(1/2*(8^(1/4)*x*sqrt((sqrt(2)*x^2 + sqrt(x^4 + x^3))/x^2) - 8^(1/4)*(x^4 + x^3)^(1/4))/x) - 1/16*8^(3/4)*log((8^(3/4)*x + 4*(x^4 + x^3)^(1/4))/x) + 1/16*8^(3/4)*log(-(8^(3/4)*x - 4*(x^4 + x^3)^(1/4))/x) + 2*arctan((x^4 + x^3)^(1/4)/x) + log((x + (x^4 + x^3)^(1/4))/x) - log(-(x - (x^4 + x^3)^(1/4))/x)","B",0
2275,1,2015,0,0.835324," ","integrate(x^2*(x^4+x^3)^(1/4)/(x^4-1),x, algorithm=""fricas"")","\frac{1}{8} \cdot 2^{\frac{5}{8}} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \sqrt{-2 \, \sqrt{2} + 4} \arctan\left(\frac{2^{\frac{3}{8}} {\left(\sqrt{2} {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} {\left(\sqrt{2} x + x\right)}\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \sqrt{\frac{4 \cdot 2^{\frac{1}{4}} x^{2} + 2^{\frac{1}{8}} {\left({\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 2 \cdot 2^{\frac{3}{8}} {\left(\sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)}\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} - 4 \, \sqrt{2} x + 4 \, {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, x}{4 \, x}\right) + \frac{1}{8} \cdot 2^{\frac{5}{8}} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \sqrt{-2 \, \sqrt{2} + 4} \arctan\left(\frac{2^{\frac{3}{8}} {\left(\sqrt{2} {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} {\left(\sqrt{2} x + x\right)}\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \sqrt{\frac{4 \cdot 2^{\frac{1}{4}} x^{2} - 2^{\frac{1}{8}} {\left({\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 2 \cdot 2^{\frac{3}{8}} {\left(\sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)}\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{2} x - 4 \, {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, x}{4 \, x}\right) + \frac{1}{8} \cdot 2^{\frac{5}{8}} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \sqrt{-2 \, \sqrt{2} + 4} \arctan\left(\frac{2^{\frac{3}{8}} {\left(\sqrt{2} {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} {\left(\sqrt{2} x + x\right)}\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \sqrt{\frac{4 \cdot 2^{\frac{1}{4}} x^{2} + 2^{\frac{1}{8}} {\left({\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 2 \cdot 2^{\frac{3}{8}} {\left(\sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)}\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} - 4 \, \sqrt{2} x - 4 \, {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, x}{4 \, x}\right) + \frac{1}{8} \cdot 2^{\frac{5}{8}} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \sqrt{-2 \, \sqrt{2} + 4} \arctan\left(\frac{2^{\frac{3}{8}} {\left(\sqrt{2} {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} {\left(\sqrt{2} x + x\right)}\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \sqrt{\frac{4 \cdot 2^{\frac{1}{4}} x^{2} - 2^{\frac{1}{8}} {\left({\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 2 \cdot 2^{\frac{3}{8}} {\left(\sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)}\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{2} x + 4 \, {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, x}{4 \, x}\right) - \frac{1}{32} \cdot 2^{\frac{1}{8}} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} {\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4\right)} \log\left(\frac{4 \cdot 2^{\frac{1}{4}} x^{2} + 2^{\frac{1}{8}} {\left({\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} + x^{3}}}{4 \, x^{2}}\right) + \frac{1}{32} \cdot 2^{\frac{1}{8}} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} {\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4\right)} \log\left(\frac{4 \cdot 2^{\frac{1}{4}} x^{2} - 2^{\frac{1}{8}} {\left({\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} + x^{3}}}{4 \, x^{2}}\right) - \frac{1}{32} \cdot 2^{\frac{1}{8}} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} {\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4\right)} \log\left(\frac{4 \cdot 2^{\frac{1}{4}} x^{2} + 2^{\frac{1}{8}} {\left({\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} + x^{3}}}{4 \, x^{2}}\right) + \frac{1}{32} \cdot 2^{\frac{1}{8}} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} {\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4\right)} \log\left(\frac{4 \cdot 2^{\frac{1}{4}} x^{2} - 2^{\frac{1}{8}} {\left({\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} + x^{3}}}{4 \, x^{2}}\right) + \frac{1}{4} \cdot 8^{\frac{3}{4}} \arctan\left(\frac{8^{\frac{1}{4}} x \sqrt{\frac{\sqrt{2} x^{2} + \sqrt{x^{4} + x^{3}}}{x^{2}}} - 8^{\frac{1}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{2 \, x}\right) - \frac{1}{16} \cdot 8^{\frac{3}{4}} \log\left(\frac{8^{\frac{3}{4}} x + 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{16} \cdot 8^{\frac{3}{4}} \log\left(-\frac{8^{\frac{3}{4}} x - 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 2 \, \arctan\left(\frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \log\left(\frac{x + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \log\left(-\frac{x - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"1/8*2^(5/8)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*sqrt(-2*sqrt(2) + 4)*arctan(1/4*(2^(3/8)*(sqrt(2)*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) - sqrt(2)*(sqrt(2)*x + x))*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*sqrt((4*2^(1/4)*x^2 + 2^(1/8)*((x^4 + x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 4*(x^4 + x^3)^(1/4)*x)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 + x^3))/x^2) - 2*2^(3/8)*(sqrt(2)*(x^4 + x^3)^(1/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - sqrt(2)*(x^4 + x^3)^(1/4)*(sqrt(2) + 1))*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) - 4*sqrt(2)*x + 4*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) - 4*x)/x) + 1/8*2^(5/8)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*sqrt(-2*sqrt(2) + 4)*arctan(1/4*(2^(3/8)*(sqrt(2)*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) - sqrt(2)*(sqrt(2)*x + x))*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*sqrt((4*2^(1/4)*x^2 - 2^(1/8)*((x^4 + x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 4*(x^4 + x^3)^(1/4)*x)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 + x^3))/x^2) - 2*2^(3/8)*(sqrt(2)*(x^4 + x^3)^(1/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - sqrt(2)*(x^4 + x^3)^(1/4)*(sqrt(2) + 1))*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(2)*x - 4*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) + 4*x)/x) + 1/8*2^(5/8)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*sqrt(-2*sqrt(2) + 4)*arctan(1/4*(2^(3/8)*(sqrt(2)*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) + sqrt(2)*(sqrt(2)*x + x))*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*sqrt((4*2^(1/4)*x^2 + 2^(1/8)*((x^4 + x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) + 4*(x^4 + x^3)^(1/4)*x)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 + x^3))/x^2) - 2*2^(3/8)*(sqrt(2)*(x^4 + x^3)^(1/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) + sqrt(2)*(x^4 + x^3)^(1/4)*(sqrt(2) + 1))*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) - 4*sqrt(2)*x - 4*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) - 4*x)/x) + 1/8*2^(5/8)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*sqrt(-2*sqrt(2) + 4)*arctan(1/4*(2^(3/8)*(sqrt(2)*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) + sqrt(2)*(sqrt(2)*x + x))*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*sqrt((4*2^(1/4)*x^2 - 2^(1/8)*((x^4 + x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) + 4*(x^4 + x^3)^(1/4)*x)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 + x^3))/x^2) - 2*2^(3/8)*(sqrt(2)*(x^4 + x^3)^(1/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) + sqrt(2)*(x^4 + x^3)^(1/4)*(sqrt(2) + 1))*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(2)*x + 4*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) + 4*x)/x) - 1/32*2^(1/8)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) - 4)*log(1/4*(4*2^(1/4)*x^2 + 2^(1/8)*((x^4 + x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 4*(x^4 + x^3)^(1/4)*x)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 + x^3))/x^2) + 1/32*2^(1/8)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) - 4)*log(1/4*(4*2^(1/4)*x^2 - 2^(1/8)*((x^4 + x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 4*(x^4 + x^3)^(1/4)*x)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 + x^3))/x^2) - 1/32*2^(1/8)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 4)*log(1/4*(4*2^(1/4)*x^2 + 2^(1/8)*((x^4 + x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) + 4*(x^4 + x^3)^(1/4)*x)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 + x^3))/x^2) + 1/32*2^(1/8)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 4)*log(1/4*(4*2^(1/4)*x^2 - 2^(1/8)*((x^4 + x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) + 4*(x^4 + x^3)^(1/4)*x)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 + x^3))/x^2) + 1/4*8^(3/4)*arctan(1/2*(8^(1/4)*x*sqrt((sqrt(2)*x^2 + sqrt(x^4 + x^3))/x^2) - 8^(1/4)*(x^4 + x^3)^(1/4))/x) - 1/16*8^(3/4)*log((8^(3/4)*x + 4*(x^4 + x^3)^(1/4))/x) + 1/16*8^(3/4)*log(-(8^(3/4)*x - 4*(x^4 + x^3)^(1/4))/x) + 2*arctan((x^4 + x^3)^(1/4)/x) + log((x + (x^4 + x^3)^(1/4))/x) - log(-(x - (x^4 + x^3)^(1/4))/x)","B",0
2276,-2,0,0,0.000000," ","integrate(1/(x^3-x)^(1/3)/(x^6+1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
2277,-2,0,0,0.000000," ","integrate(1/(x^3-x)^(1/3)/(x^6+1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
2278,1,1083,0,1.067181," ","integrate((x^4-x)^(1/2)/(a*x^6-b),x, algorithm=""fricas"")","-\frac{1}{12} \, \sqrt{-\frac{a b \sqrt{\frac{1}{a b^{3}}} - 1}{a b}} \log\left(\frac{2 \, {\left({\left(a^{2} - 3 \, a b + 4 \, b^{2}\right)} x^{4} + 2 \, {\left(a b - 2 \, b^{2}\right)} x + {\left(2 \, {\left(a^{2} b^{2} - 2 \, a b^{3}\right)} x^{4} + {\left(a^{2} b^{2} - 3 \, a b^{3} + 4 \, b^{4}\right)} x\right)} \sqrt{\frac{1}{a b^{3}}}\right)} \sqrt{x^{4} - x} + {\left({\left(a^{2} b - 4 \, a b^{2}\right)} x^{6} + 2 \, {\left(a^{2} b - 3 \, a b^{2} + 4 \, b^{3}\right)} x^{3} + 3 \, a b^{2} - 4 \, b^{3} + {\left({\left(a^{3} b^{2} - 6 \, a^{2} b^{3} + 8 \, a b^{4}\right)} x^{6} + a^{2} b^{3} + 4 \, {\left(a^{2} b^{3} - 2 \, a b^{4}\right)} x^{3}\right)} \sqrt{\frac{1}{a b^{3}}}\right)} \sqrt{-\frac{a b \sqrt{\frac{1}{a b^{3}}} - 1}{a b}}}{a x^{6} - b}\right) + \frac{1}{12} \, \sqrt{-\frac{a b \sqrt{\frac{1}{a b^{3}}} - 1}{a b}} \log\left(\frac{2 \, {\left({\left(a^{2} - 3 \, a b + 4 \, b^{2}\right)} x^{4} + 2 \, {\left(a b - 2 \, b^{2}\right)} x + {\left(2 \, {\left(a^{2} b^{2} - 2 \, a b^{3}\right)} x^{4} + {\left(a^{2} b^{2} - 3 \, a b^{3} + 4 \, b^{4}\right)} x\right)} \sqrt{\frac{1}{a b^{3}}}\right)} \sqrt{x^{4} - x} - {\left({\left(a^{2} b - 4 \, a b^{2}\right)} x^{6} + 2 \, {\left(a^{2} b - 3 \, a b^{2} + 4 \, b^{3}\right)} x^{3} + 3 \, a b^{2} - 4 \, b^{3} + {\left({\left(a^{3} b^{2} - 6 \, a^{2} b^{3} + 8 \, a b^{4}\right)} x^{6} + a^{2} b^{3} + 4 \, {\left(a^{2} b^{3} - 2 \, a b^{4}\right)} x^{3}\right)} \sqrt{\frac{1}{a b^{3}}}\right)} \sqrt{-\frac{a b \sqrt{\frac{1}{a b^{3}}} - 1}{a b}}}{a x^{6} - b}\right) - \frac{1}{12} \, \sqrt{\frac{a b \sqrt{\frac{1}{a b^{3}}} + 1}{a b}} \log\left(\frac{2 \, {\left({\left(a^{2} - 3 \, a b + 4 \, b^{2}\right)} x^{4} + 2 \, {\left(a b - 2 \, b^{2}\right)} x - {\left(2 \, {\left(a^{2} b^{2} - 2 \, a b^{3}\right)} x^{4} + {\left(a^{2} b^{2} - 3 \, a b^{3} + 4 \, b^{4}\right)} x\right)} \sqrt{\frac{1}{a b^{3}}}\right)} \sqrt{x^{4} - x} + {\left({\left(a^{2} b - 4 \, a b^{2}\right)} x^{6} + 2 \, {\left(a^{2} b - 3 \, a b^{2} + 4 \, b^{3}\right)} x^{3} + 3 \, a b^{2} - 4 \, b^{3} - {\left({\left(a^{3} b^{2} - 6 \, a^{2} b^{3} + 8 \, a b^{4}\right)} x^{6} + a^{2} b^{3} + 4 \, {\left(a^{2} b^{3} - 2 \, a b^{4}\right)} x^{3}\right)} \sqrt{\frac{1}{a b^{3}}}\right)} \sqrt{\frac{a b \sqrt{\frac{1}{a b^{3}}} + 1}{a b}}}{a x^{6} - b}\right) + \frac{1}{12} \, \sqrt{\frac{a b \sqrt{\frac{1}{a b^{3}}} + 1}{a b}} \log\left(\frac{2 \, {\left({\left(a^{2} - 3 \, a b + 4 \, b^{2}\right)} x^{4} + 2 \, {\left(a b - 2 \, b^{2}\right)} x - {\left(2 \, {\left(a^{2} b^{2} - 2 \, a b^{3}\right)} x^{4} + {\left(a^{2} b^{2} - 3 \, a b^{3} + 4 \, b^{4}\right)} x\right)} \sqrt{\frac{1}{a b^{3}}}\right)} \sqrt{x^{4} - x} - {\left({\left(a^{2} b - 4 \, a b^{2}\right)} x^{6} + 2 \, {\left(a^{2} b - 3 \, a b^{2} + 4 \, b^{3}\right)} x^{3} + 3 \, a b^{2} - 4 \, b^{3} - {\left({\left(a^{3} b^{2} - 6 \, a^{2} b^{3} + 8 \, a b^{4}\right)} x^{6} + a^{2} b^{3} + 4 \, {\left(a^{2} b^{3} - 2 \, a b^{4}\right)} x^{3}\right)} \sqrt{\frac{1}{a b^{3}}}\right)} \sqrt{\frac{a b \sqrt{\frac{1}{a b^{3}}} + 1}{a b}}}{a x^{6} - b}\right)"," ",0,"-1/12*sqrt(-(a*b*sqrt(1/(a*b^3)) - 1)/(a*b))*log((2*((a^2 - 3*a*b + 4*b^2)*x^4 + 2*(a*b - 2*b^2)*x + (2*(a^2*b^2 - 2*a*b^3)*x^4 + (a^2*b^2 - 3*a*b^3 + 4*b^4)*x)*sqrt(1/(a*b^3)))*sqrt(x^4 - x) + ((a^2*b - 4*a*b^2)*x^6 + 2*(a^2*b - 3*a*b^2 + 4*b^3)*x^3 + 3*a*b^2 - 4*b^3 + ((a^3*b^2 - 6*a^2*b^3 + 8*a*b^4)*x^6 + a^2*b^3 + 4*(a^2*b^3 - 2*a*b^4)*x^3)*sqrt(1/(a*b^3)))*sqrt(-(a*b*sqrt(1/(a*b^3)) - 1)/(a*b)))/(a*x^6 - b)) + 1/12*sqrt(-(a*b*sqrt(1/(a*b^3)) - 1)/(a*b))*log((2*((a^2 - 3*a*b + 4*b^2)*x^4 + 2*(a*b - 2*b^2)*x + (2*(a^2*b^2 - 2*a*b^3)*x^4 + (a^2*b^2 - 3*a*b^3 + 4*b^4)*x)*sqrt(1/(a*b^3)))*sqrt(x^4 - x) - ((a^2*b - 4*a*b^2)*x^6 + 2*(a^2*b - 3*a*b^2 + 4*b^3)*x^3 + 3*a*b^2 - 4*b^3 + ((a^3*b^2 - 6*a^2*b^3 + 8*a*b^4)*x^6 + a^2*b^3 + 4*(a^2*b^3 - 2*a*b^4)*x^3)*sqrt(1/(a*b^3)))*sqrt(-(a*b*sqrt(1/(a*b^3)) - 1)/(a*b)))/(a*x^6 - b)) - 1/12*sqrt((a*b*sqrt(1/(a*b^3)) + 1)/(a*b))*log((2*((a^2 - 3*a*b + 4*b^2)*x^4 + 2*(a*b - 2*b^2)*x - (2*(a^2*b^2 - 2*a*b^3)*x^4 + (a^2*b^2 - 3*a*b^3 + 4*b^4)*x)*sqrt(1/(a*b^3)))*sqrt(x^4 - x) + ((a^2*b - 4*a*b^2)*x^6 + 2*(a^2*b - 3*a*b^2 + 4*b^3)*x^3 + 3*a*b^2 - 4*b^3 - ((a^3*b^2 - 6*a^2*b^3 + 8*a*b^4)*x^6 + a^2*b^3 + 4*(a^2*b^3 - 2*a*b^4)*x^3)*sqrt(1/(a*b^3)))*sqrt((a*b*sqrt(1/(a*b^3)) + 1)/(a*b)))/(a*x^6 - b)) + 1/12*sqrt((a*b*sqrt(1/(a*b^3)) + 1)/(a*b))*log((2*((a^2 - 3*a*b + 4*b^2)*x^4 + 2*(a*b - 2*b^2)*x - (2*(a^2*b^2 - 2*a*b^3)*x^4 + (a^2*b^2 - 3*a*b^3 + 4*b^4)*x)*sqrt(1/(a*b^3)))*sqrt(x^4 - x) - ((a^2*b - 4*a*b^2)*x^6 + 2*(a^2*b - 3*a*b^2 + 4*b^3)*x^3 + 3*a*b^2 - 4*b^3 - ((a^3*b^2 - 6*a^2*b^3 + 8*a*b^4)*x^6 + a^2*b^3 + 4*(a^2*b^3 - 2*a*b^4)*x^3)*sqrt(1/(a*b^3)))*sqrt((a*b*sqrt(1/(a*b^3)) + 1)/(a*b)))/(a*x^6 - b))","B",0
2279,-1,0,0,0.000000," ","integrate((2*x^8+1)*(2*x^8-2*x^4-1)^(1/4)*(4*x^16-3*x^8+1)/x^10/(2*x^8-1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2280,-1,0,0,0.000000," ","integrate((a*x^2+b^2)^(3/2)/(b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2281,1,361,0,1.267511," ","integrate(x*(p*x^6-2*q)*(p*x^6+q)^(1/2)/(b*x^8+a*(p*x^6+q)^2),x, algorithm=""fricas"")","\frac{1}{2} \, \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}} \arctan\left(\frac{a^{2} b x^{2} \left(-\frac{1}{a^{3} b}\right)^{\frac{3}{4}}}{\sqrt{p x^{6} + q}}\right) + \frac{1}{8} \, \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}} \log\left(\frac{a p^{2} x^{12} + 2 \, a p q x^{6} - b x^{8} + a q^{2} + 2 \, {\left(a b x^{6} \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}} + {\left(a^{3} b p x^{8} + a^{3} b q x^{2}\right)} \left(-\frac{1}{a^{3} b}\right)^{\frac{3}{4}}\right)} \sqrt{p x^{6} + q} - 2 \, {\left(a^{2} b p x^{10} + a^{2} b q x^{4}\right)} \sqrt{-\frac{1}{a^{3} b}}}{a p^{2} x^{12} + 2 \, a p q x^{6} + b x^{8} + a q^{2}}\right) - \frac{1}{8} \, \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}} \log\left(\frac{a p^{2} x^{12} + 2 \, a p q x^{6} - b x^{8} + a q^{2} - 2 \, {\left(a b x^{6} \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}} + {\left(a^{3} b p x^{8} + a^{3} b q x^{2}\right)} \left(-\frac{1}{a^{3} b}\right)^{\frac{3}{4}}\right)} \sqrt{p x^{6} + q} - 2 \, {\left(a^{2} b p x^{10} + a^{2} b q x^{4}\right)} \sqrt{-\frac{1}{a^{3} b}}}{a p^{2} x^{12} + 2 \, a p q x^{6} + b x^{8} + a q^{2}}\right)"," ",0,"1/2*(-1/(a^3*b))^(1/4)*arctan(a^2*b*x^2*(-1/(a^3*b))^(3/4)/sqrt(p*x^6 + q)) + 1/8*(-1/(a^3*b))^(1/4)*log((a*p^2*x^12 + 2*a*p*q*x^6 - b*x^8 + a*q^2 + 2*(a*b*x^6*(-1/(a^3*b))^(1/4) + (a^3*b*p*x^8 + a^3*b*q*x^2)*(-1/(a^3*b))^(3/4))*sqrt(p*x^6 + q) - 2*(a^2*b*p*x^10 + a^2*b*q*x^4)*sqrt(-1/(a^3*b)))/(a*p^2*x^12 + 2*a*p*q*x^6 + b*x^8 + a*q^2)) - 1/8*(-1/(a^3*b))^(1/4)*log((a*p^2*x^12 + 2*a*p*q*x^6 - b*x^8 + a*q^2 - 2*(a*b*x^6*(-1/(a^3*b))^(1/4) + (a^3*b*p*x^8 + a^3*b*q*x^2)*(-1/(a^3*b))^(3/4))*sqrt(p*x^6 + q) - 2*(a^2*b*p*x^10 + a^2*b*q*x^4)*sqrt(-1/(a^3*b)))/(a*p^2*x^12 + 2*a*p*q*x^6 + b*x^8 + a*q^2))","B",0
2282,1,146,0,0.652782," ","integrate((6*x^2-2*x-1)^(1/3)/(-1+6*x),x, algorithm=""fricas"")","\frac{1}{24} \cdot 6^{\frac{1}{6}} \sqrt{2} \left(-7\right)^{\frac{1}{3}} \arctan\left(\frac{1}{42} \cdot 6^{\frac{1}{6}} {\left(2 \cdot 6^{\frac{2}{3}} \sqrt{2} \left(-7\right)^{\frac{2}{3}} {\left(6 \, x^{2} - 2 \, x - 1\right)}^{\frac{1}{3}} - 7 \cdot 6^{\frac{1}{3}} \sqrt{2}\right)}\right) - \frac{1}{144} \cdot 6^{\frac{2}{3}} \left(-7\right)^{\frac{1}{3}} \log\left(6^{\frac{2}{3}} \left(-7\right)^{\frac{1}{3}} {\left(6 \, x^{2} - 2 \, x - 1\right)}^{\frac{1}{3}} + 6^{\frac{1}{3}} \left(-7\right)^{\frac{2}{3}} + 6 \, {\left(6 \, x^{2} - 2 \, x - 1\right)}^{\frac{2}{3}}\right) + \frac{1}{72} \cdot 6^{\frac{2}{3}} \left(-7\right)^{\frac{1}{3}} \log\left(-6^{\frac{2}{3}} \left(-7\right)^{\frac{1}{3}} + 6 \, {\left(6 \, x^{2} - 2 \, x - 1\right)}^{\frac{1}{3}}\right) + \frac{1}{4} \, {\left(6 \, x^{2} - 2 \, x - 1\right)}^{\frac{1}{3}}"," ",0,"1/24*6^(1/6)*sqrt(2)*(-7)^(1/3)*arctan(1/42*6^(1/6)*(2*6^(2/3)*sqrt(2)*(-7)^(2/3)*(6*x^2 - 2*x - 1)^(1/3) - 7*6^(1/3)*sqrt(2))) - 1/144*6^(2/3)*(-7)^(1/3)*log(6^(2/3)*(-7)^(1/3)*(6*x^2 - 2*x - 1)^(1/3) + 6^(1/3)*(-7)^(2/3) + 6*(6*x^2 - 2*x - 1)^(2/3)) + 1/72*6^(2/3)*(-7)^(1/3)*log(-6^(2/3)*(-7)^(1/3) + 6*(6*x^2 - 2*x - 1)^(1/3)) + 1/4*(6*x^2 - 2*x - 1)^(1/3)","A",0
2283,-1,0,0,0.000000," ","integrate((-2*a*b*x+(a+b)*x^2)/(x*(-a+x)*(-b+x))^(2/3)/(-a*b+(a+b)*x+(-1+d)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2284,-1,0,0,0.000000," ","integrate(x*(-a*b+x^2)/(x^2*(-a+x)*(-b+x))^(2/3)/(a*b*d-(a*d+b*d+1)*x+d*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2285,1,214,0,6.958443," ","integrate((x^3-2)*(x^3-1)^(2/3)/x^3/(2*x^3-1),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{2} \arctan\left(\frac{383838 \, \sqrt{3} {\left(x^{10} - 3 \, x^{4} - 2 \, x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} + 13468 \, \sqrt{3} {\left(x^{11} - 3 \, x^{8} + 4 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}} + \sqrt{3} {\left(198653 \, x^{12} + 393594 \, x^{9} + 5568 \, x^{6} - 400090 \, x^{3} - 198189\right)}}{3 \, {\left(185185 \, x^{12} + 370434 \, x^{9} - 96 \, x^{6} - 370322 \, x^{3} - 185193\right)}}\right) - x^{2} \log\left(\frac{8 \, x^{9} - 12 \, x^{6} + 6 \, x^{3} - 3 \, {\left(x^{10} - 3 \, x^{4} - 2 \, x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} + 3 \, {\left(x^{11} - 3 \, x^{8} + 4 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}} - 1}{8 \, x^{9} - 12 \, x^{6} + 6 \, x^{3} - 1}\right) - 12 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{12 \, x^{2}}"," ",0,"1/12*(2*sqrt(3)*x^2*arctan(1/3*(383838*sqrt(3)*(x^10 - 3*x^4 - 2*x)*(x^3 - 1)^(2/3) + 13468*sqrt(3)*(x^11 - 3*x^8 + 4*x^2)*(x^3 - 1)^(1/3) + sqrt(3)*(198653*x^12 + 393594*x^9 + 5568*x^6 - 400090*x^3 - 198189))/(185185*x^12 + 370434*x^9 - 96*x^6 - 370322*x^3 - 185193)) - x^2*log((8*x^9 - 12*x^6 + 6*x^3 - 3*(x^10 - 3*x^4 - 2*x)*(x^3 - 1)^(2/3) + 3*(x^11 - 3*x^8 + 4*x^2)*(x^3 - 1)^(1/3) - 1)/(8*x^9 - 12*x^6 + 6*x^3 - 1)) - 12*(x^3 - 1)^(2/3))/x^2","A",0
2286,-1,0,0,0.000000," ","integrate((a*x^2-b)*(a*x^4-b*x^2)^(1/4)/(a*x^2+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2287,1,1497,0,3.327322," ","integrate((x^3+1)/(x^3-1)/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""fricas"")","\left[-\frac{2 \, {\left(2 \, a + 2 \, b + c\right)} \sqrt{-a - b + c} \log\left(-\frac{{\left(8 \, a b - b^{2} - 4 \, a c\right)} x^{4} - 2 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 4 \, {\left(a - b\right)} c\right)} x^{3} - {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(5 \, a + 2 \, b\right)} c + 8 \, c^{2}\right)} x^{2} - 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(2 \, a - b\right)} x^{2} + {\left(4 \, a + b - 2 \, c\right)} x + 2 \, a - b\right)} \sqrt{-a - b + c} + 8 \, a b - b^{2} - 4 \, a c - 2 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 4 \, {\left(a - b\right)} c\right)} x}{x^{4} + 2 \, x^{3} + 3 \, x^{2} + 2 \, x + 1}\right) - \sqrt{2 \, a + 2 \, b + c} {\left(a + b - c\right)} \log\left(\frac{{\left(24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a - 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} - 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{2 \, a + 2 \, b + c} + 24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right)}{6 \, {\left(2 \, a^{2} + 4 \, a b + 2 \, b^{2} - {\left(a + b\right)} c - c^{2}\right)}}, \frac{{\left(a + b - c\right)} \sqrt{-2 \, a - 2 \, b - c} \arctan\left(\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{-2 \, a - 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} + 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a + b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} + 2 \, a b + a c + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x\right)}}\right) - {\left(2 \, a + 2 \, b + c\right)} \sqrt{-a - b + c} \log\left(-\frac{{\left(8 \, a b - b^{2} - 4 \, a c\right)} x^{4} - 2 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 4 \, {\left(a - b\right)} c\right)} x^{3} - {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(5 \, a + 2 \, b\right)} c + 8 \, c^{2}\right)} x^{2} - 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(2 \, a - b\right)} x^{2} + {\left(4 \, a + b - 2 \, c\right)} x + 2 \, a - b\right)} \sqrt{-a - b + c} + 8 \, a b - b^{2} - 4 \, a c - 2 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 4 \, {\left(a - b\right)} c\right)} x}{x^{4} + 2 \, x^{3} + 3 \, x^{2} + 2 \, x + 1}\right)}{3 \, {\left(2 \, a^{2} + 4 \, a b + 2 \, b^{2} - {\left(a + b\right)} c - c^{2}\right)}}, -\frac{4 \, {\left(2 \, a + 2 \, b + c\right)} \sqrt{a + b - c} \arctan\left(-\frac{2 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} \sqrt{a + b - c}}{{\left(2 \, a - b\right)} x^{2} + {\left(4 \, a + b - 2 \, c\right)} x + 2 \, a - b}\right) - \sqrt{2 \, a + 2 \, b + c} {\left(a + b - c\right)} \log\left(\frac{{\left(24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a - 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} - 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{2 \, a + 2 \, b + c} + 24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right)}{6 \, {\left(2 \, a^{2} + 4 \, a b + 2 \, b^{2} - {\left(a + b\right)} c - c^{2}\right)}}, \frac{{\left(a + b - c\right)} \sqrt{-2 \, a - 2 \, b - c} \arctan\left(\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{-2 \, a - 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} + 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a + b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} + 2 \, a b + a c + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x\right)}}\right) - 2 \, {\left(2 \, a + 2 \, b + c\right)} \sqrt{a + b - c} \arctan\left(-\frac{2 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} \sqrt{a + b - c}}{{\left(2 \, a - b\right)} x^{2} + {\left(4 \, a + b - 2 \, c\right)} x + 2 \, a - b}\right)}{3 \, {\left(2 \, a^{2} + 4 \, a b + 2 \, b^{2} - {\left(a + b\right)} c - c^{2}\right)}}\right]"," ",0,"[-1/6*(2*(2*a + 2*b + c)*sqrt(-a - b + c)*log(-((8*a*b - b^2 - 4*a*c)*x^4 - 2*(8*a^2 - 4*a*b - 3*b^2 - 4*(a - b)*c)*x^3 - (24*a^2 + 3*b^2 - 4*(5*a + 2*b)*c + 8*c^2)*x^2 - 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((2*a - b)*x^2 + (4*a + b - 2*c)*x + 2*a - b)*sqrt(-a - b + c) + 8*a*b - b^2 - 4*a*c - 2*(8*a^2 - 4*a*b - 3*b^2 - 4*(a - b)*c)*x)/(x^4 + 2*x^3 + 3*x^2 + 2*x + 1)) - sqrt(2*a + 2*b + c)*(a + b - c)*log(((24*a^2 + 16*a*b + b^2 + 4*a*c)*x^4 - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a - 2*b)*c + 4*c^2)*x^2 - 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(2*a + 2*b + c) + 24*a^2 + 16*a*b + b^2 + 4*a*c - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)))/(2*a^2 + 4*a*b + 2*b^2 - (a + b)*c - c^2), 1/3*((a + b - c)*sqrt(-2*a - 2*b - c)*arctan(1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(-2*a - 2*b - c)/((2*a^2 + 2*a*b + a*c)*x^4 + (2*a*b + 2*b^2 + b*c)*x^3 + (2*(a + b)*c + c^2)*x^2 + 2*a^2 + 2*a*b + a*c + (2*a*b + 2*b^2 + b*c)*x)) - (2*a + 2*b + c)*sqrt(-a - b + c)*log(-((8*a*b - b^2 - 4*a*c)*x^4 - 2*(8*a^2 - 4*a*b - 3*b^2 - 4*(a - b)*c)*x^3 - (24*a^2 + 3*b^2 - 4*(5*a + 2*b)*c + 8*c^2)*x^2 - 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((2*a - b)*x^2 + (4*a + b - 2*c)*x + 2*a - b)*sqrt(-a - b + c) + 8*a*b - b^2 - 4*a*c - 2*(8*a^2 - 4*a*b - 3*b^2 - 4*(a - b)*c)*x)/(x^4 + 2*x^3 + 3*x^2 + 2*x + 1)))/(2*a^2 + 4*a*b + 2*b^2 - (a + b)*c - c^2), -1/6*(4*(2*a + 2*b + c)*sqrt(a + b - c)*arctan(-2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*sqrt(a + b - c)/((2*a - b)*x^2 + (4*a + b - 2*c)*x + 2*a - b)) - sqrt(2*a + 2*b + c)*(a + b - c)*log(((24*a^2 + 16*a*b + b^2 + 4*a*c)*x^4 - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a - 2*b)*c + 4*c^2)*x^2 - 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(2*a + 2*b + c) + 24*a^2 + 16*a*b + b^2 + 4*a*c - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)))/(2*a^2 + 4*a*b + 2*b^2 - (a + b)*c - c^2), 1/3*((a + b - c)*sqrt(-2*a - 2*b - c)*arctan(1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(-2*a - 2*b - c)/((2*a^2 + 2*a*b + a*c)*x^4 + (2*a*b + 2*b^2 + b*c)*x^3 + (2*(a + b)*c + c^2)*x^2 + 2*a^2 + 2*a*b + a*c + (2*a*b + 2*b^2 + b*c)*x)) - 2*(2*a + 2*b + c)*sqrt(a + b - c)*arctan(-2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*sqrt(a + b - c)/((2*a - b)*x^2 + (4*a + b - 2*c)*x + 2*a - b)))/(2*a^2 + 4*a*b + 2*b^2 - (a + b)*c - c^2)]","A",0
2288,-2,0,0,0.000000," ","integrate((a*x^6-b)/(x^3-x)^(1/3)/(c*x^6-d),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
2289,-2,0,0,0.000000," ","integrate((a*x^6-b)/(x^3-x)^(1/3)/(c*x^6-d),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
2290,1,71,0,0.664523," ","integrate(1/(d+(c+(a*x+b)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{8 \, {\left(48 \, d^{3} - 52 \, c d - {\left(24 \, d^{2} - 20 \, c + 15 \, \sqrt{a x + b}\right)} \sqrt{c + \sqrt{a x + b}} + 18 \, \sqrt{a x + b} d\right)} \sqrt{d + \sqrt{c + \sqrt{a x + b}}}}{105 \, a}"," ",0,"-8/105*(48*d^3 - 52*c*d - (24*d^2 - 20*c + 15*sqrt(a*x + b))*sqrt(c + sqrt(a*x + b)) + 18*sqrt(a*x + b)*d)*sqrt(d + sqrt(c + sqrt(a*x + b)))/a","A",0
2291,1,156,0,1.828870," ","integrate(1/x/(x^2+3*x+3)^(1/3),x, algorithm=""fricas"")","\frac{1}{9} \cdot 3^{\frac{2}{3}} \log\left(\frac{3^{\frac{1}{3}} {\left(x + 3\right)} - 3 \, {\left(x^{2} + 3 \, x + 3\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{18} \cdot 3^{\frac{2}{3}} \log\left(\frac{3^{\frac{1}{3}} {\left(x^{2} + 6 \, x + 9\right)} + 3 \cdot 3^{\frac{2}{3}} {\left(x^{2} + 3 \, x + 3\right)}^{\frac{2}{3}} + 3 \, {\left(x^{2} + 3 \, x + 3\right)}^{\frac{1}{3}} {\left(x + 3\right)}}{x^{2}}\right) - \frac{1}{3} \cdot 3^{\frac{1}{6}} \arctan\left(\frac{3^{\frac{1}{6}} {\left(3^{\frac{1}{3}} x^{3} + 6 \cdot 3^{\frac{2}{3}} {\left(x^{2} + 3 \, x + 3\right)}^{\frac{2}{3}} {\left(x + 3\right)} - 6 \, {\left(x^{2} + 6 \, x + 9\right)} {\left(x^{2} + 3 \, x + 3\right)}^{\frac{1}{3}}\right)}}{3 \, {\left(x^{3} + 18 \, x^{2} + 54 \, x + 54\right)}}\right)"," ",0,"1/9*3^(2/3)*log((3^(1/3)*(x + 3) - 3*(x^2 + 3*x + 3)^(1/3))/x) - 1/18*3^(2/3)*log((3^(1/3)*(x^2 + 6*x + 9) + 3*3^(2/3)*(x^2 + 3*x + 3)^(2/3) + 3*(x^2 + 3*x + 3)^(1/3)*(x + 3))/x^2) - 1/3*3^(1/6)*arctan(1/3*3^(1/6)*(3^(1/3)*x^3 + 6*3^(2/3)*(x^2 + 3*x + 3)^(2/3)*(x + 3) - 6*(x^2 + 6*x + 9)*(x^2 + 3*x + 3)^(1/3))/(x^3 + 18*x^2 + 54*x + 54))","A",0
2292,-1,0,0,0.000000," ","integrate((-a*b+x^2)/(x^2*(-a+x)*(-b+x))^(1/3)/(a*b*d-(a*d+b*d+1)*x+d*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2293,1,426,0,15.742703," ","integrate((-3+2*x)*(x^3-x+1)^(2/3)/x^3/(x^3+2*x-2),x, algorithm=""fricas"")","-\frac{4 \cdot 4^{\frac{1}{6}} \sqrt{3} \left(-9\right)^{\frac{1}{3}} x^{2} \arctan\left(\frac{4^{\frac{1}{6}} \sqrt{3} {\left(4 \cdot 4^{\frac{2}{3}} \left(-9\right)^{\frac{2}{3}} {\left(4 \, x^{7} + 7 \, x^{5} - 7 \, x^{4} - 2 \, x^{3} + 4 \, x^{2} - 2 \, x\right)} {\left(x^{3} - x + 1\right)}^{\frac{2}{3}} + 12 \, \left(-9\right)^{\frac{1}{3}} {\left(55 \, x^{8} - 50 \, x^{6} + 50 \, x^{5} + 4 \, x^{4} - 8 \, x^{3} + 4 \, x^{2}\right)} {\left(x^{3} - x + 1\right)}^{\frac{1}{3}} - 4^{\frac{1}{3}} {\left(377 \, x^{9} - 600 \, x^{7} + 600 \, x^{6} + 204 \, x^{5} - 408 \, x^{4} + 196 \, x^{3} + 24 \, x^{2} - 24 \, x + 8\right)}\right)}}{6 \, {\left(487 \, x^{9} - 480 \, x^{7} + 480 \, x^{6} + 12 \, x^{5} - 24 \, x^{4} + 20 \, x^{3} - 24 \, x^{2} + 24 \, x - 8\right)}}\right) - 2 \cdot 4^{\frac{2}{3}} \left(-9\right)^{\frac{1}{3}} x^{2} \log\left(-\frac{6 \cdot 4^{\frac{1}{3}} \left(-9\right)^{\frac{2}{3}} {\left(x^{3} - x + 1\right)}^{\frac{1}{3}} x^{2} + 4^{\frac{2}{3}} \left(-9\right)^{\frac{1}{3}} {\left(x^{3} + 2 \, x - 2\right)} - 36 \, {\left(x^{3} - x + 1\right)}^{\frac{2}{3}} x}{x^{3} + 2 \, x - 2}\right) + 4^{\frac{2}{3}} \left(-9\right)^{\frac{1}{3}} x^{2} \log\left(-\frac{18 \cdot 4^{\frac{2}{3}} \left(-9\right)^{\frac{1}{3}} {\left(4 \, x^{4} - x^{2} + x\right)} {\left(x^{3} - x + 1\right)}^{\frac{2}{3}} - 4^{\frac{1}{3}} \left(-9\right)^{\frac{2}{3}} {\left(55 \, x^{6} - 50 \, x^{4} + 50 \, x^{3} + 4 \, x^{2} - 8 \, x + 4\right)} - 54 \, {\left(7 \, x^{5} - 4 \, x^{3} + 4 \, x^{2}\right)} {\left(x^{3} - x + 1\right)}^{\frac{1}{3}}}{x^{6} + 4 \, x^{4} - 4 \, x^{3} + 4 \, x^{2} - 8 \, x + 4}\right) + 36 \, {\left(x^{3} - x + 1\right)}^{\frac{2}{3}}}{48 \, x^{2}}"," ",0,"-1/48*(4*4^(1/6)*sqrt(3)*(-9)^(1/3)*x^2*arctan(1/6*4^(1/6)*sqrt(3)*(4*4^(2/3)*(-9)^(2/3)*(4*x^7 + 7*x^5 - 7*x^4 - 2*x^3 + 4*x^2 - 2*x)*(x^3 - x + 1)^(2/3) + 12*(-9)^(1/3)*(55*x^8 - 50*x^6 + 50*x^5 + 4*x^4 - 8*x^3 + 4*x^2)*(x^3 - x + 1)^(1/3) - 4^(1/3)*(377*x^9 - 600*x^7 + 600*x^6 + 204*x^5 - 408*x^4 + 196*x^3 + 24*x^2 - 24*x + 8))/(487*x^9 - 480*x^7 + 480*x^6 + 12*x^5 - 24*x^4 + 20*x^3 - 24*x^2 + 24*x - 8)) - 2*4^(2/3)*(-9)^(1/3)*x^2*log(-(6*4^(1/3)*(-9)^(2/3)*(x^3 - x + 1)^(1/3)*x^2 + 4^(2/3)*(-9)^(1/3)*(x^3 + 2*x - 2) - 36*(x^3 - x + 1)^(2/3)*x)/(x^3 + 2*x - 2)) + 4^(2/3)*(-9)^(1/3)*x^2*log(-(18*4^(2/3)*(-9)^(1/3)*(4*x^4 - x^2 + x)*(x^3 - x + 1)^(2/3) - 4^(1/3)*(-9)^(2/3)*(55*x^6 - 50*x^4 + 50*x^3 + 4*x^2 - 8*x + 4) - 54*(7*x^5 - 4*x^3 + 4*x^2)*(x^3 - x + 1)^(1/3))/(x^6 + 4*x^4 - 4*x^3 + 4*x^2 - 8*x + 4)) + 36*(x^3 - x + 1)^(2/3))/x^2","B",0
2294,1,427,0,17.288609," ","integrate((-3+4*x)*(x^3+2*x-1)^(2/3)/x^3/(x^3-4*x+2),x, algorithm=""fricas"")","-\frac{4 \cdot 9^{\frac{1}{3}} 4^{\frac{1}{6}} \sqrt{3} x^{2} \arctan\left(\frac{4^{\frac{1}{6}} \sqrt{3} {\left(4 \cdot 9^{\frac{2}{3}} 4^{\frac{2}{3}} {\left(4 \, x^{7} - 14 \, x^{5} + 7 \, x^{4} - 8 \, x^{3} + 8 \, x^{2} - 2 \, x\right)} {\left(x^{3} + 2 \, x - 1\right)}^{\frac{2}{3}} - 12 \cdot 9^{\frac{1}{3}} {\left(55 \, x^{8} + 100 \, x^{6} - 50 \, x^{5} + 16 \, x^{4} - 16 \, x^{3} + 4 \, x^{2}\right)} {\left(x^{3} + 2 \, x - 1\right)}^{\frac{1}{3}} - 4^{\frac{1}{3}} {\left(377 \, x^{9} + 1200 \, x^{7} - 600 \, x^{6} + 816 \, x^{5} - 816 \, x^{4} + 268 \, x^{3} - 96 \, x^{2} + 48 \, x - 8\right)}\right)}}{6 \, {\left(487 \, x^{9} + 960 \, x^{7} - 480 \, x^{6} + 48 \, x^{5} - 48 \, x^{4} - 52 \, x^{3} + 96 \, x^{2} - 48 \, x + 8\right)}}\right) - 2 \cdot 9^{\frac{1}{3}} 4^{\frac{2}{3}} x^{2} \log\left(-\frac{6 \cdot 9^{\frac{2}{3}} 4^{\frac{1}{3}} {\left(x^{3} + 2 \, x - 1\right)}^{\frac{1}{3}} x^{2} - 9^{\frac{1}{3}} 4^{\frac{2}{3}} {\left(x^{3} - 4 \, x + 2\right)} - 36 \, {\left(x^{3} + 2 \, x - 1\right)}^{\frac{2}{3}} x}{x^{3} - 4 \, x + 2}\right) + 9^{\frac{1}{3}} 4^{\frac{2}{3}} x^{2} \log\left(\frac{18 \cdot 9^{\frac{1}{3}} 4^{\frac{2}{3}} {\left(4 \, x^{4} + 2 \, x^{2} - x\right)} {\left(x^{3} + 2 \, x - 1\right)}^{\frac{2}{3}} + 9^{\frac{2}{3}} 4^{\frac{1}{3}} {\left(55 \, x^{6} + 100 \, x^{4} - 50 \, x^{3} + 16 \, x^{2} - 16 \, x + 4\right)} + 54 \, {\left(7 \, x^{5} + 8 \, x^{3} - 4 \, x^{2}\right)} {\left(x^{3} + 2 \, x - 1\right)}^{\frac{1}{3}}}{x^{6} - 8 \, x^{4} + 4 \, x^{3} + 16 \, x^{2} - 16 \, x + 4}\right) - 36 \, {\left(x^{3} + 2 \, x - 1\right)}^{\frac{2}{3}}}{48 \, x^{2}}"," ",0,"-1/48*(4*9^(1/3)*4^(1/6)*sqrt(3)*x^2*arctan(1/6*4^(1/6)*sqrt(3)*(4*9^(2/3)*4^(2/3)*(4*x^7 - 14*x^5 + 7*x^4 - 8*x^3 + 8*x^2 - 2*x)*(x^3 + 2*x - 1)^(2/3) - 12*9^(1/3)*(55*x^8 + 100*x^6 - 50*x^5 + 16*x^4 - 16*x^3 + 4*x^2)*(x^3 + 2*x - 1)^(1/3) - 4^(1/3)*(377*x^9 + 1200*x^7 - 600*x^6 + 816*x^5 - 816*x^4 + 268*x^3 - 96*x^2 + 48*x - 8))/(487*x^9 + 960*x^7 - 480*x^6 + 48*x^5 - 48*x^4 - 52*x^3 + 96*x^2 - 48*x + 8)) - 2*9^(1/3)*4^(2/3)*x^2*log(-(6*9^(2/3)*4^(1/3)*(x^3 + 2*x - 1)^(1/3)*x^2 - 9^(1/3)*4^(2/3)*(x^3 - 4*x + 2) - 36*(x^3 + 2*x - 1)^(2/3)*x)/(x^3 - 4*x + 2)) + 9^(1/3)*4^(2/3)*x^2*log((18*9^(1/3)*4^(2/3)*(4*x^4 + 2*x^2 - x)*(x^3 + 2*x - 1)^(2/3) + 9^(2/3)*4^(1/3)*(55*x^6 + 100*x^4 - 50*x^3 + 16*x^2 - 16*x + 4) + 54*(7*x^5 + 8*x^3 - 4*x^2)*(x^3 + 2*x - 1)^(1/3))/(x^6 - 8*x^4 + 4*x^3 + 16*x^2 - 16*x + 4)) - 36*(x^3 + 2*x - 1)^(2/3))/x^2","B",0
2295,1,202,0,0.477132," ","integrate((x^6-13*x^5+65*x^4-150*x^3+135*x^2+27*x-81)^(1/2)/(-1+x),x, algorithm=""fricas"")","-\frac{205 \, x^{2} + 1536 \, {\left(x^{2} - 6 \, x + 9\right)} \arctan\left(-\frac{x^{3} - 7 \, x^{2} + 15 \, x - \sqrt{x^{6} - 13 \, x^{5} + 65 \, x^{4} - 150 \, x^{3} + 135 \, x^{2} + 27 \, x - 81} - 9}{x^{2} - 6 \, x + 9}\right) + 924 \, {\left(x^{2} - 6 \, x + 9\right)} \log\left(-\frac{2 \, x^{3} - 13 \, x^{2} + 24 \, x - 2 \, \sqrt{x^{6} - 13 \, x^{5} + 65 \, x^{4} - 150 \, x^{3} + 135 \, x^{2} + 27 \, x - 81} - 9}{x^{2} - 6 \, x + 9}\right) - 8 \, \sqrt{x^{6} - 13 \, x^{5} + 65 \, x^{4} - 150 \, x^{3} + 135 \, x^{2} + 27 \, x - 81} {\left(8 \, x^{2} - 62 \, x + 115\right)} - 1230 \, x + 1845}{192 \, {\left(x^{2} - 6 \, x + 9\right)}}"," ",0,"-1/192*(205*x^2 + 1536*(x^2 - 6*x + 9)*arctan(-(x^3 - 7*x^2 + 15*x - sqrt(x^6 - 13*x^5 + 65*x^4 - 150*x^3 + 135*x^2 + 27*x - 81) - 9)/(x^2 - 6*x + 9)) + 924*(x^2 - 6*x + 9)*log(-(2*x^3 - 13*x^2 + 24*x - 2*sqrt(x^6 - 13*x^5 + 65*x^4 - 150*x^3 + 135*x^2 + 27*x - 81) - 9)/(x^2 - 6*x + 9)) - 8*sqrt(x^6 - 13*x^5 + 65*x^4 - 150*x^3 + 135*x^2 + 27*x - 81)*(8*x^2 - 62*x + 115) - 1230*x + 1845)/(x^2 - 6*x + 9)","A",0
2296,-1,0,0,0.000000," ","integrate((2*p*x^3-q)*(p^2*x^6+2*p*q*x^3-2*p*q*x^2+q^2)^(1/2)/x^2/(a*p*x^3+a*q+b*x),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2297,1,1949,0,0.745008," ","integrate(1/x^2/(x^8+x^7-5*x^6-2*x^5+10*x^4-2*x^3-7*x^2+5*x-1)^(1/3),x, algorithm=""fricas"")","\frac{12 \cdot 50^{\frac{2}{3}} \sqrt{3} {\left(x^{6} + x^{5} - 3 \, x^{4} - x^{3} + 3 \, x^{2} - x\right)} {\left(123 \, \sqrt{5} + 275\right)}^{\frac{1}{3}} \arctan\left(\frac{50^{\frac{2}{3}} {\left(7 \, \sqrt{5} \sqrt{3} {\left(x^{3} - 2 \, x + 1\right)} - 15 \, \sqrt{3} {\left(x^{3} - 2 \, x + 1\right)}\right)} {\left(123 \, \sqrt{5} + 275\right)}^{\frac{1}{3}} \sqrt{-\frac{10 \cdot 50^{\frac{1}{3}} {\left(x^{8} + x^{7} - 5 \, x^{6} - 2 \, x^{5} + 10 \, x^{4} - 2 \, x^{3} - 7 \, x^{2} + 5 \, x - 1\right)}^{\frac{1}{3}} {\left(9 \, x^{3} - 4 \, \sqrt{5} {\left(x^{3} - 2 \, x + 1\right)} - 18 \, x + 9\right)} {\left(123 \, \sqrt{5} + 275\right)}^{\frac{2}{3}} + 50^{\frac{2}{3}} {\left(5 \, x^{6} - 20 \, x^{4} + 10 \, x^{3} + 20 \, x^{2} - 3 \, \sqrt{5} {\left(x^{6} - 4 \, x^{4} + 2 \, x^{3} + 4 \, x^{2} - 4 \, x + 1\right)} - 20 \, x + 5\right)} {\left(123 \, \sqrt{5} + 275\right)}^{\frac{1}{3}} - 100 \, {\left(x^{8} + x^{7} - 5 \, x^{6} - 2 \, x^{5} + 10 \, x^{4} - 2 \, x^{3} - 7 \, x^{2} + 5 \, x - 1\right)}^{\frac{2}{3}}}{x^{6} - 4 \, x^{4} + 2 \, x^{3} + 4 \, x^{2} - 4 \, x + 1}} - 10 \cdot 50^{\frac{2}{3}} {\left(x^{8} + x^{7} - 5 \, x^{6} - 2 \, x^{5} + 10 \, x^{4} - 2 \, x^{3} - 7 \, x^{2} + 5 \, x - 1\right)}^{\frac{1}{3}} {\left(7 \, \sqrt{5} \sqrt{3} - 15 \, \sqrt{3}\right)} {\left(123 \, \sqrt{5} + 275\right)}^{\frac{1}{3}} + 500 \, \sqrt{3} {\left(x^{3} - 2 \, x + 1\right)}}{1500 \, {\left(x^{3} - 2 \, x + 1\right)}}\right) - 12 \cdot 50^{\frac{2}{3}} \sqrt{3} {\left(x^{6} + x^{5} - 3 \, x^{4} - x^{3} + 3 \, x^{2} - x\right)} {\left(-123 \, \sqrt{5} + 275\right)}^{\frac{1}{3}} \arctan\left(\frac{50^{\frac{2}{3}} {\left(7 \, \sqrt{5} \sqrt{3} {\left(x^{3} - 2 \, x + 1\right)} + 15 \, \sqrt{3} {\left(x^{3} - 2 \, x + 1\right)}\right)} {\left(-123 \, \sqrt{5} + 275\right)}^{\frac{1}{3}} \sqrt{-\frac{10 \cdot 50^{\frac{1}{3}} {\left(x^{8} + x^{7} - 5 \, x^{6} - 2 \, x^{5} + 10 \, x^{4} - 2 \, x^{3} - 7 \, x^{2} + 5 \, x - 1\right)}^{\frac{1}{3}} {\left(9 \, x^{3} + 4 \, \sqrt{5} {\left(x^{3} - 2 \, x + 1\right)} - 18 \, x + 9\right)} {\left(-123 \, \sqrt{5} + 275\right)}^{\frac{2}{3}} + 50^{\frac{2}{3}} {\left(5 \, x^{6} - 20 \, x^{4} + 10 \, x^{3} + 20 \, x^{2} + 3 \, \sqrt{5} {\left(x^{6} - 4 \, x^{4} + 2 \, x^{3} + 4 \, x^{2} - 4 \, x + 1\right)} - 20 \, x + 5\right)} {\left(-123 \, \sqrt{5} + 275\right)}^{\frac{1}{3}} - 100 \, {\left(x^{8} + x^{7} - 5 \, x^{6} - 2 \, x^{5} + 10 \, x^{4} - 2 \, x^{3} - 7 \, x^{2} + 5 \, x - 1\right)}^{\frac{2}{3}}}{x^{6} - 4 \, x^{4} + 2 \, x^{3} + 4 \, x^{2} - 4 \, x + 1}} - 10 \cdot 50^{\frac{2}{3}} {\left(x^{8} + x^{7} - 5 \, x^{6} - 2 \, x^{5} + 10 \, x^{4} - 2 \, x^{3} - 7 \, x^{2} + 5 \, x - 1\right)}^{\frac{1}{3}} {\left(7 \, \sqrt{5} \sqrt{3} + 15 \, \sqrt{3}\right)} {\left(-123 \, \sqrt{5} + 275\right)}^{\frac{1}{3}} - 500 \, \sqrt{3} {\left(x^{3} - 2 \, x + 1\right)}}{1500 \, {\left(x^{3} - 2 \, x + 1\right)}}\right) - 3 \cdot 50^{\frac{2}{3}} {\left(x^{6} + x^{5} - 3 \, x^{4} - x^{3} + 3 \, x^{2} - x\right)} {\left(123 \, \sqrt{5} + 275\right)}^{\frac{1}{3}} \log\left(-\frac{4 \, {\left(10 \cdot 50^{\frac{1}{3}} {\left(x^{8} + x^{7} - 5 \, x^{6} - 2 \, x^{5} + 10 \, x^{4} - 2 \, x^{3} - 7 \, x^{2} + 5 \, x - 1\right)}^{\frac{1}{3}} {\left(9 \, x^{3} - 4 \, \sqrt{5} {\left(x^{3} - 2 \, x + 1\right)} - 18 \, x + 9\right)} {\left(123 \, \sqrt{5} + 275\right)}^{\frac{2}{3}} + 50^{\frac{2}{3}} {\left(5 \, x^{6} - 20 \, x^{4} + 10 \, x^{3} + 20 \, x^{2} - 3 \, \sqrt{5} {\left(x^{6} - 4 \, x^{4} + 2 \, x^{3} + 4 \, x^{2} - 4 \, x + 1\right)} - 20 \, x + 5\right)} {\left(123 \, \sqrt{5} + 275\right)}^{\frac{1}{3}} - 100 \, {\left(x^{8} + x^{7} - 5 \, x^{6} - 2 \, x^{5} + 10 \, x^{4} - 2 \, x^{3} - 7 \, x^{2} + 5 \, x - 1\right)}^{\frac{2}{3}}\right)}}{x^{6} - 4 \, x^{4} + 2 \, x^{3} + 4 \, x^{2} - 4 \, x + 1}\right) - 3 \cdot 50^{\frac{2}{3}} {\left(x^{6} + x^{5} - 3 \, x^{4} - x^{3} + 3 \, x^{2} - x\right)} {\left(-123 \, \sqrt{5} + 275\right)}^{\frac{1}{3}} \log\left(-\frac{4 \, {\left(10 \cdot 50^{\frac{1}{3}} {\left(x^{8} + x^{7} - 5 \, x^{6} - 2 \, x^{5} + 10 \, x^{4} - 2 \, x^{3} - 7 \, x^{2} + 5 \, x - 1\right)}^{\frac{1}{3}} {\left(9 \, x^{3} + 4 \, \sqrt{5} {\left(x^{3} - 2 \, x + 1\right)} - 18 \, x + 9\right)} {\left(-123 \, \sqrt{5} + 275\right)}^{\frac{2}{3}} + 50^{\frac{2}{3}} {\left(5 \, x^{6} - 20 \, x^{4} + 10 \, x^{3} + 20 \, x^{2} + 3 \, \sqrt{5} {\left(x^{6} - 4 \, x^{4} + 2 \, x^{3} + 4 \, x^{2} - 4 \, x + 1\right)} - 20 \, x + 5\right)} {\left(-123 \, \sqrt{5} + 275\right)}^{\frac{1}{3}} - 100 \, {\left(x^{8} + x^{7} - 5 \, x^{6} - 2 \, x^{5} + 10 \, x^{4} - 2 \, x^{3} - 7 \, x^{2} + 5 \, x - 1\right)}^{\frac{2}{3}}\right)}}{x^{6} - 4 \, x^{4} + 2 \, x^{3} + 4 \, x^{2} - 4 \, x + 1}\right) + 6 \cdot 50^{\frac{2}{3}} {\left(x^{6} + x^{5} - 3 \, x^{4} - x^{3} + 3 \, x^{2} - x\right)} {\left(123 \, \sqrt{5} + 275\right)}^{\frac{1}{3}} \log\left(\frac{50^{\frac{1}{3}} {\left(9 \, x^{3} - 4 \, \sqrt{5} {\left(x^{3} - 2 \, x + 1\right)} - 18 \, x + 9\right)} {\left(123 \, \sqrt{5} + 275\right)}^{\frac{2}{3}} + 10 \, {\left(x^{8} + x^{7} - 5 \, x^{6} - 2 \, x^{5} + 10 \, x^{4} - 2 \, x^{3} - 7 \, x^{2} + 5 \, x - 1\right)}^{\frac{1}{3}}}{x^{3} - 2 \, x + 1}\right) + 6 \cdot 50^{\frac{2}{3}} {\left(x^{6} + x^{5} - 3 \, x^{4} - x^{3} + 3 \, x^{2} - x\right)} {\left(-123 \, \sqrt{5} + 275\right)}^{\frac{1}{3}} \log\left(\frac{50^{\frac{1}{3}} {\left(9 \, x^{3} + 4 \, \sqrt{5} {\left(x^{3} - 2 \, x + 1\right)} - 18 \, x + 9\right)} {\left(-123 \, \sqrt{5} + 275\right)}^{\frac{2}{3}} + 10 \, {\left(x^{8} + x^{7} - 5 \, x^{6} - 2 \, x^{5} + 10 \, x^{4} - 2 \, x^{3} - 7 \, x^{2} + 5 \, x - 1\right)}^{\frac{1}{3}}}{x^{3} - 2 \, x + 1}\right) + 500 \, \sqrt{3} {\left(x^{6} + x^{5} - 3 \, x^{4} - x^{3} + 3 \, x^{2} - x\right)} \arctan\left(-\frac{\sqrt{3} {\left(x^{3} - 2 \, x + 1\right)} - 2 \, \sqrt{3} {\left(x^{8} + x^{7} - 5 \, x^{6} - 2 \, x^{5} + 10 \, x^{4} - 2 \, x^{3} - 7 \, x^{2} + 5 \, x - 1\right)}^{\frac{1}{3}}}{3 \, {\left(x^{3} - 2 \, x + 1\right)}}\right) + 250 \, {\left(x^{6} + x^{5} - 3 \, x^{4} - x^{3} + 3 \, x^{2} - x\right)} \log\left(\frac{x^{6} - 4 \, x^{4} + 2 \, x^{3} + 4 \, x^{2} - {\left(x^{8} + x^{7} - 5 \, x^{6} - 2 \, x^{5} + 10 \, x^{4} - 2 \, x^{3} - 7 \, x^{2} + 5 \, x - 1\right)}^{\frac{1}{3}} {\left(x^{3} - 2 \, x + 1\right)} - 4 \, x + {\left(x^{8} + x^{7} - 5 \, x^{6} - 2 \, x^{5} + 10 \, x^{4} - 2 \, x^{3} - 7 \, x^{2} + 5 \, x - 1\right)}^{\frac{2}{3}} + 1}{x^{6} - 4 \, x^{4} + 2 \, x^{3} + 4 \, x^{2} - 4 \, x + 1}\right) - 500 \, {\left(x^{6} + x^{5} - 3 \, x^{4} - x^{3} + 3 \, x^{2} - x\right)} \log\left(\frac{x^{3} - 2 \, x + {\left(x^{8} + x^{7} - 5 \, x^{6} - 2 \, x^{5} + 10 \, x^{4} - 2 \, x^{3} - 7 \, x^{2} + 5 \, x - 1\right)}^{\frac{1}{3}} + 1}{x^{3} - 2 \, x + 1}\right) - 300 \, {\left(x^{8} + x^{7} - 5 \, x^{6} - 2 \, x^{5} + 10 \, x^{4} - 2 \, x^{3} - 7 \, x^{2} + 5 \, x - 1\right)}^{\frac{2}{3}}}{300 \, {\left(x^{6} + x^{5} - 3 \, x^{4} - x^{3} + 3 \, x^{2} - x\right)}}"," ",0,"1/300*(12*50^(2/3)*sqrt(3)*(x^6 + x^5 - 3*x^4 - x^3 + 3*x^2 - x)*(123*sqrt(5) + 275)^(1/3)*arctan(1/1500*(50^(2/3)*(7*sqrt(5)*sqrt(3)*(x^3 - 2*x + 1) - 15*sqrt(3)*(x^3 - 2*x + 1))*(123*sqrt(5) + 275)^(1/3)*sqrt(-(10*50^(1/3)*(x^8 + x^7 - 5*x^6 - 2*x^5 + 10*x^4 - 2*x^3 - 7*x^2 + 5*x - 1)^(1/3)*(9*x^3 - 4*sqrt(5)*(x^3 - 2*x + 1) - 18*x + 9)*(123*sqrt(5) + 275)^(2/3) + 50^(2/3)*(5*x^6 - 20*x^4 + 10*x^3 + 20*x^2 - 3*sqrt(5)*(x^6 - 4*x^4 + 2*x^3 + 4*x^2 - 4*x + 1) - 20*x + 5)*(123*sqrt(5) + 275)^(1/3) - 100*(x^8 + x^7 - 5*x^6 - 2*x^5 + 10*x^4 - 2*x^3 - 7*x^2 + 5*x - 1)^(2/3))/(x^6 - 4*x^4 + 2*x^3 + 4*x^2 - 4*x + 1)) - 10*50^(2/3)*(x^8 + x^7 - 5*x^6 - 2*x^5 + 10*x^4 - 2*x^3 - 7*x^2 + 5*x - 1)^(1/3)*(7*sqrt(5)*sqrt(3) - 15*sqrt(3))*(123*sqrt(5) + 275)^(1/3) + 500*sqrt(3)*(x^3 - 2*x + 1))/(x^3 - 2*x + 1)) - 12*50^(2/3)*sqrt(3)*(x^6 + x^5 - 3*x^4 - x^3 + 3*x^2 - x)*(-123*sqrt(5) + 275)^(1/3)*arctan(1/1500*(50^(2/3)*(7*sqrt(5)*sqrt(3)*(x^3 - 2*x + 1) + 15*sqrt(3)*(x^3 - 2*x + 1))*(-123*sqrt(5) + 275)^(1/3)*sqrt(-(10*50^(1/3)*(x^8 + x^7 - 5*x^6 - 2*x^5 + 10*x^4 - 2*x^3 - 7*x^2 + 5*x - 1)^(1/3)*(9*x^3 + 4*sqrt(5)*(x^3 - 2*x + 1) - 18*x + 9)*(-123*sqrt(5) + 275)^(2/3) + 50^(2/3)*(5*x^6 - 20*x^4 + 10*x^3 + 20*x^2 + 3*sqrt(5)*(x^6 - 4*x^4 + 2*x^3 + 4*x^2 - 4*x + 1) - 20*x + 5)*(-123*sqrt(5) + 275)^(1/3) - 100*(x^8 + x^7 - 5*x^6 - 2*x^5 + 10*x^4 - 2*x^3 - 7*x^2 + 5*x - 1)^(2/3))/(x^6 - 4*x^4 + 2*x^3 + 4*x^2 - 4*x + 1)) - 10*50^(2/3)*(x^8 + x^7 - 5*x^6 - 2*x^5 + 10*x^4 - 2*x^3 - 7*x^2 + 5*x - 1)^(1/3)*(7*sqrt(5)*sqrt(3) + 15*sqrt(3))*(-123*sqrt(5) + 275)^(1/3) - 500*sqrt(3)*(x^3 - 2*x + 1))/(x^3 - 2*x + 1)) - 3*50^(2/3)*(x^6 + x^5 - 3*x^4 - x^3 + 3*x^2 - x)*(123*sqrt(5) + 275)^(1/3)*log(-4*(10*50^(1/3)*(x^8 + x^7 - 5*x^6 - 2*x^5 + 10*x^4 - 2*x^3 - 7*x^2 + 5*x - 1)^(1/3)*(9*x^3 - 4*sqrt(5)*(x^3 - 2*x + 1) - 18*x + 9)*(123*sqrt(5) + 275)^(2/3) + 50^(2/3)*(5*x^6 - 20*x^4 + 10*x^3 + 20*x^2 - 3*sqrt(5)*(x^6 - 4*x^4 + 2*x^3 + 4*x^2 - 4*x + 1) - 20*x + 5)*(123*sqrt(5) + 275)^(1/3) - 100*(x^8 + x^7 - 5*x^6 - 2*x^5 + 10*x^4 - 2*x^3 - 7*x^2 + 5*x - 1)^(2/3))/(x^6 - 4*x^4 + 2*x^3 + 4*x^2 - 4*x + 1)) - 3*50^(2/3)*(x^6 + x^5 - 3*x^4 - x^3 + 3*x^2 - x)*(-123*sqrt(5) + 275)^(1/3)*log(-4*(10*50^(1/3)*(x^8 + x^7 - 5*x^6 - 2*x^5 + 10*x^4 - 2*x^3 - 7*x^2 + 5*x - 1)^(1/3)*(9*x^3 + 4*sqrt(5)*(x^3 - 2*x + 1) - 18*x + 9)*(-123*sqrt(5) + 275)^(2/3) + 50^(2/3)*(5*x^6 - 20*x^4 + 10*x^3 + 20*x^2 + 3*sqrt(5)*(x^6 - 4*x^4 + 2*x^3 + 4*x^2 - 4*x + 1) - 20*x + 5)*(-123*sqrt(5) + 275)^(1/3) - 100*(x^8 + x^7 - 5*x^6 - 2*x^5 + 10*x^4 - 2*x^3 - 7*x^2 + 5*x - 1)^(2/3))/(x^6 - 4*x^4 + 2*x^3 + 4*x^2 - 4*x + 1)) + 6*50^(2/3)*(x^6 + x^5 - 3*x^4 - x^3 + 3*x^2 - x)*(123*sqrt(5) + 275)^(1/3)*log((50^(1/3)*(9*x^3 - 4*sqrt(5)*(x^3 - 2*x + 1) - 18*x + 9)*(123*sqrt(5) + 275)^(2/3) + 10*(x^8 + x^7 - 5*x^6 - 2*x^5 + 10*x^4 - 2*x^3 - 7*x^2 + 5*x - 1)^(1/3))/(x^3 - 2*x + 1)) + 6*50^(2/3)*(x^6 + x^5 - 3*x^4 - x^3 + 3*x^2 - x)*(-123*sqrt(5) + 275)^(1/3)*log((50^(1/3)*(9*x^3 + 4*sqrt(5)*(x^3 - 2*x + 1) - 18*x + 9)*(-123*sqrt(5) + 275)^(2/3) + 10*(x^8 + x^7 - 5*x^6 - 2*x^5 + 10*x^4 - 2*x^3 - 7*x^2 + 5*x - 1)^(1/3))/(x^3 - 2*x + 1)) + 500*sqrt(3)*(x^6 + x^5 - 3*x^4 - x^3 + 3*x^2 - x)*arctan(-1/3*(sqrt(3)*(x^3 - 2*x + 1) - 2*sqrt(3)*(x^8 + x^7 - 5*x^6 - 2*x^5 + 10*x^4 - 2*x^3 - 7*x^2 + 5*x - 1)^(1/3))/(x^3 - 2*x + 1)) + 250*(x^6 + x^5 - 3*x^4 - x^3 + 3*x^2 - x)*log((x^6 - 4*x^4 + 2*x^3 + 4*x^2 - (x^8 + x^7 - 5*x^6 - 2*x^5 + 10*x^4 - 2*x^3 - 7*x^2 + 5*x - 1)^(1/3)*(x^3 - 2*x + 1) - 4*x + (x^8 + x^7 - 5*x^6 - 2*x^5 + 10*x^4 - 2*x^3 - 7*x^2 + 5*x - 1)^(2/3) + 1)/(x^6 - 4*x^4 + 2*x^3 + 4*x^2 - 4*x + 1)) - 500*(x^6 + x^5 - 3*x^4 - x^3 + 3*x^2 - x)*log((x^3 - 2*x + (x^8 + x^7 - 5*x^6 - 2*x^5 + 10*x^4 - 2*x^3 - 7*x^2 + 5*x - 1)^(1/3) + 1)/(x^3 - 2*x + 1)) - 300*(x^8 + x^7 - 5*x^6 - 2*x^5 + 10*x^4 - 2*x^3 - 7*x^2 + 5*x - 1)^(2/3))/(x^6 + x^5 - 3*x^4 - x^3 + 3*x^2 - x)","B",0
2298,1,374,0,4.057211," ","integrate((x^2+1)*(x^2+(x^4+1)^(1/2))^(1/2)/(x^2-1)/(x^4+1)^(1/2),x, algorithm=""fricas"")","-\sqrt{2 \, \sqrt{2} - 2} \arctan\left(-\frac{{\left(4 \, x^{2} + 2 \, \sqrt{2} {\left(x^{2} - 1\right)} - \sqrt{x^{4} + 1} {\left({\left(\sqrt{2} + 2\right)} \sqrt{-8 \, \sqrt{2} + 12} + 2 \, \sqrt{2} + 4\right)} + {\left(2 \, x^{2} + \sqrt{2} {\left(x^{2} - 3\right)} - 4\right)} \sqrt{-8 \, \sqrt{2} + 12}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{2 \, \sqrt{2} - 2}}{8 \, x}\right) + \frac{1}{4} \, \sqrt{2} \log\left(4 \, x^{4} + 4 \, \sqrt{x^{4} + 1} x^{2} + 2 \, {\left(\sqrt{2} x^{3} + \sqrt{2} \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 1\right) - \frac{1}{4} \, \sqrt{2 \, \sqrt{2} + 2} \log\left(-\frac{2 \, \sqrt{2} x^{2} + 4 \, x^{2} + {\left(\sqrt{2} \sqrt{x^{4} + 1} x - \sqrt{2} {\left(x^{3} - x\right)} + 2 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{2 \, \sqrt{2} + 2} + 2 \, \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)}}{x^{2} - 1}\right) + \frac{1}{4} \, \sqrt{2 \, \sqrt{2} + 2} \log\left(-\frac{2 \, \sqrt{2} x^{2} + 4 \, x^{2} - {\left(\sqrt{2} \sqrt{x^{4} + 1} x - \sqrt{2} {\left(x^{3} - x\right)} + 2 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{2 \, \sqrt{2} + 2} + 2 \, \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)}}{x^{2} - 1}\right)"," ",0,"-sqrt(2*sqrt(2) - 2)*arctan(-1/8*(4*x^2 + 2*sqrt(2)*(x^2 - 1) - sqrt(x^4 + 1)*((sqrt(2) + 2)*sqrt(-8*sqrt(2) + 12) + 2*sqrt(2) + 4) + (2*x^2 + sqrt(2)*(x^2 - 3) - 4)*sqrt(-8*sqrt(2) + 12))*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(2*sqrt(2) - 2)/x) + 1/4*sqrt(2)*log(4*x^4 + 4*sqrt(x^4 + 1)*x^2 + 2*(sqrt(2)*x^3 + sqrt(2)*sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1) - 1/4*sqrt(2*sqrt(2) + 2)*log(-(2*sqrt(2)*x^2 + 4*x^2 + (sqrt(2)*sqrt(x^4 + 1)*x - sqrt(2)*(x^3 - x) + 2*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(2*sqrt(2) + 2) + 2*sqrt(x^4 + 1)*(sqrt(2) + 1))/(x^2 - 1)) + 1/4*sqrt(2*sqrt(2) + 2)*log(-(2*sqrt(2)*x^2 + 4*x^2 - (sqrt(2)*sqrt(x^4 + 1)*x - sqrt(2)*(x^3 - x) + 2*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(2*sqrt(2) + 2) + 2*sqrt(x^4 + 1)*(sqrt(2) + 1))/(x^2 - 1))","B",0
2299,1,986,0,8.807553," ","integrate((2+x)/(-3+x)/(-x^2+1)^(1/4)/(x^2+1),x, algorithm=""fricas"")","-\frac{1}{16} \cdot 8^{\frac{3}{4}} \sqrt{2} \arctan\left(-\frac{2 \, x^{6} - 12 \, x^{5} + 22 \, x^{4} - 24 \, x^{3} + 8^{\frac{3}{4}} \sqrt{2} {\left(x^{5} - 5 \, x^{4} + 16 \, x^{3} - 16 \, x^{2} - x + 5\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{4}} + 4 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(3 \, x^{3} - 9 \, x^{2} + 11 \, x - 1\right)} {\left(-x^{2} + 1\right)}^{\frac{3}{4}} + 8 \, \sqrt{2} {\left(x^{4} - 4 \, x^{3} + 4 \, x^{2} - 4 \, x + 3\right)} \sqrt{-x^{2} + 1} + 38 \, x^{2} - {\left(8^{\frac{3}{4}} \sqrt{2} {\left(3 \, x^{4} - 12 \, x^{3} + 20 \, x^{2} - 12 \, x + 1\right)} \sqrt{-x^{2} + 1} + 32 \, \sqrt{2} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)} {\left(-x^{2} + 1\right)}^{\frac{3}{4}} + 8^{\frac{1}{4}} \sqrt{2} {\left(x^{6} - 6 \, x^{5} - x^{4} + 12 \, x^{3} + 11 \, x^{2} - 46 \, x + 13\right)} + 8 \, {\left(x^{5} - 5 \, x^{4} + 8 \, x^{3} - 8 \, x^{2} + 7 \, x - 3\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{4}}\right)} \sqrt{-\frac{2 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{2} - 2 \, x + 1\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{4}} + 8^{\frac{3}{4}} \sqrt{2} {\left(-x^{2} + 1\right)}^{\frac{3}{4}} - \sqrt{2} {\left(x^{3} - 3 \, x^{2} + x - 3\right)} - 8 \, \sqrt{-x^{2} + 1} {\left(x - 1\right)}}{x^{3} - 3 \, x^{2} + x - 3}} - 12 \, x + 18}{2 \, {\left(x^{6} - 6 \, x^{5} + 43 \, x^{4} - 76 \, x^{3} + 19 \, x^{2} + 58 \, x - 23\right)}}\right) + \frac{1}{16} \cdot 8^{\frac{3}{4}} \sqrt{2} \arctan\left(-\frac{2 \, x^{6} - 12 \, x^{5} + 22 \, x^{4} - 24 \, x^{3} - 8^{\frac{3}{4}} \sqrt{2} {\left(x^{5} - 5 \, x^{4} + 16 \, x^{3} - 16 \, x^{2} - x + 5\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{4}} - 4 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(3 \, x^{3} - 9 \, x^{2} + 11 \, x - 1\right)} {\left(-x^{2} + 1\right)}^{\frac{3}{4}} + 8 \, \sqrt{2} {\left(x^{4} - 4 \, x^{3} + 4 \, x^{2} - 4 \, x + 3\right)} \sqrt{-x^{2} + 1} + 38 \, x^{2} + {\left(8^{\frac{3}{4}} \sqrt{2} {\left(3 \, x^{4} - 12 \, x^{3} + 20 \, x^{2} - 12 \, x + 1\right)} \sqrt{-x^{2} + 1} - 32 \, \sqrt{2} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)} {\left(-x^{2} + 1\right)}^{\frac{3}{4}} + 8^{\frac{1}{4}} \sqrt{2} {\left(x^{6} - 6 \, x^{5} - x^{4} + 12 \, x^{3} + 11 \, x^{2} - 46 \, x + 13\right)} - 8 \, {\left(x^{5} - 5 \, x^{4} + 8 \, x^{3} - 8 \, x^{2} + 7 \, x - 3\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{2 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{2} - 2 \, x + 1\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{4}} + 8^{\frac{3}{4}} \sqrt{2} {\left(-x^{2} + 1\right)}^{\frac{3}{4}} + \sqrt{2} {\left(x^{3} - 3 \, x^{2} + x - 3\right)} + 8 \, \sqrt{-x^{2} + 1} {\left(x - 1\right)}}{x^{3} - 3 \, x^{2} + x - 3}} - 12 \, x + 18}{2 \, {\left(x^{6} - 6 \, x^{5} + 43 \, x^{4} - 76 \, x^{3} + 19 \, x^{2} + 58 \, x - 23\right)}}\right) - \frac{1}{64} \cdot 8^{\frac{3}{4}} \sqrt{2} \log\left(\frac{64 \, {\left(2 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{2} - 2 \, x + 1\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{4}} + 8^{\frac{3}{4}} \sqrt{2} {\left(-x^{2} + 1\right)}^{\frac{3}{4}} + \sqrt{2} {\left(x^{3} - 3 \, x^{2} + x - 3\right)} + 8 \, \sqrt{-x^{2} + 1} {\left(x - 1\right)}\right)}}{x^{3} - 3 \, x^{2} + x - 3}\right) + \frac{1}{64} \cdot 8^{\frac{3}{4}} \sqrt{2} \log\left(-\frac{64 \, {\left(2 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{2} - 2 \, x + 1\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{4}} + 8^{\frac{3}{4}} \sqrt{2} {\left(-x^{2} + 1\right)}^{\frac{3}{4}} - \sqrt{2} {\left(x^{3} - 3 \, x^{2} + x - 3\right)} - 8 \, \sqrt{-x^{2} + 1} {\left(x - 1\right)}\right)}}{x^{3} - 3 \, x^{2} + x - 3}\right)"," ",0,"-1/16*8^(3/4)*sqrt(2)*arctan(-1/2*(2*x^6 - 12*x^5 + 22*x^4 - 24*x^3 + 8^(3/4)*sqrt(2)*(x^5 - 5*x^4 + 16*x^3 - 16*x^2 - x + 5)*(-x^2 + 1)^(1/4) + 4*8^(1/4)*sqrt(2)*(3*x^3 - 9*x^2 + 11*x - 1)*(-x^2 + 1)^(3/4) + 8*sqrt(2)*(x^4 - 4*x^3 + 4*x^2 - 4*x + 3)*sqrt(-x^2 + 1) + 38*x^2 - (8^(3/4)*sqrt(2)*(3*x^4 - 12*x^3 + 20*x^2 - 12*x + 1)*sqrt(-x^2 + 1) + 32*sqrt(2)*(x^3 - 3*x^2 + 3*x - 1)*(-x^2 + 1)^(3/4) + 8^(1/4)*sqrt(2)*(x^6 - 6*x^5 - x^4 + 12*x^3 + 11*x^2 - 46*x + 13) + 8*(x^5 - 5*x^4 + 8*x^3 - 8*x^2 + 7*x - 3)*(-x^2 + 1)^(1/4))*sqrt(-(2*8^(1/4)*sqrt(2)*(x^2 - 2*x + 1)*(-x^2 + 1)^(1/4) + 8^(3/4)*sqrt(2)*(-x^2 + 1)^(3/4) - sqrt(2)*(x^3 - 3*x^2 + x - 3) - 8*sqrt(-x^2 + 1)*(x - 1))/(x^3 - 3*x^2 + x - 3)) - 12*x + 18)/(x^6 - 6*x^5 + 43*x^4 - 76*x^3 + 19*x^2 + 58*x - 23)) + 1/16*8^(3/4)*sqrt(2)*arctan(-1/2*(2*x^6 - 12*x^5 + 22*x^4 - 24*x^3 - 8^(3/4)*sqrt(2)*(x^5 - 5*x^4 + 16*x^3 - 16*x^2 - x + 5)*(-x^2 + 1)^(1/4) - 4*8^(1/4)*sqrt(2)*(3*x^3 - 9*x^2 + 11*x - 1)*(-x^2 + 1)^(3/4) + 8*sqrt(2)*(x^4 - 4*x^3 + 4*x^2 - 4*x + 3)*sqrt(-x^2 + 1) + 38*x^2 + (8^(3/4)*sqrt(2)*(3*x^4 - 12*x^3 + 20*x^2 - 12*x + 1)*sqrt(-x^2 + 1) - 32*sqrt(2)*(x^3 - 3*x^2 + 3*x - 1)*(-x^2 + 1)^(3/4) + 8^(1/4)*sqrt(2)*(x^6 - 6*x^5 - x^4 + 12*x^3 + 11*x^2 - 46*x + 13) - 8*(x^5 - 5*x^4 + 8*x^3 - 8*x^2 + 7*x - 3)*(-x^2 + 1)^(1/4))*sqrt((2*8^(1/4)*sqrt(2)*(x^2 - 2*x + 1)*(-x^2 + 1)^(1/4) + 8^(3/4)*sqrt(2)*(-x^2 + 1)^(3/4) + sqrt(2)*(x^3 - 3*x^2 + x - 3) + 8*sqrt(-x^2 + 1)*(x - 1))/(x^3 - 3*x^2 + x - 3)) - 12*x + 18)/(x^6 - 6*x^5 + 43*x^4 - 76*x^3 + 19*x^2 + 58*x - 23)) - 1/64*8^(3/4)*sqrt(2)*log(64*(2*8^(1/4)*sqrt(2)*(x^2 - 2*x + 1)*(-x^2 + 1)^(1/4) + 8^(3/4)*sqrt(2)*(-x^2 + 1)^(3/4) + sqrt(2)*(x^3 - 3*x^2 + x - 3) + 8*sqrt(-x^2 + 1)*(x - 1))/(x^3 - 3*x^2 + x - 3)) + 1/64*8^(3/4)*sqrt(2)*log(-64*(2*8^(1/4)*sqrt(2)*(x^2 - 2*x + 1)*(-x^2 + 1)^(1/4) + 8^(3/4)*sqrt(2)*(-x^2 + 1)^(3/4) - sqrt(2)*(x^3 - 3*x^2 + x - 3) - 8*sqrt(-x^2 + 1)*(x - 1))/(x^3 - 3*x^2 + x - 3))","B",0
2300,1,735,0,0.736322," ","integrate((a^2*x^3+b^2)^(1/2)*(a^2*x^6+c*x^3+2*b^2)/x/(a^2*x^6-b^2),x, algorithm=""fricas"")","\left[\frac{4 \, a b \log\left(b + \sqrt{a^{2} x^{3} + b^{2}}\right) - 4 \, a b \log\left(-b + \sqrt{a^{2} x^{3} + b^{2}}\right) - {\left(3 \, a b - c\right)} \sqrt{-\frac{a - b}{b}} \log\left(\frac{a^{2} x^{3} - a b + 2 \, b^{2} + 2 \, \sqrt{a^{2} x^{3} + b^{2}} b \sqrt{-\frac{a - b}{b}}}{a x^{3} + b}\right) + {\left(3 \, a b + c\right)} \sqrt{\frac{a + b}{b}} \log\left(\frac{a^{2} x^{3} + a b + 2 \, b^{2} - 2 \, \sqrt{a^{2} x^{3} + b^{2}} b \sqrt{\frac{a + b}{b}}}{a x^{3} - b}\right) + 4 \, \sqrt{a^{2} x^{3} + b^{2}} a}{6 \, a}, \frac{4 \, a b \log\left(b + \sqrt{a^{2} x^{3} + b^{2}}\right) - 4 \, a b \log\left(-b + \sqrt{a^{2} x^{3} + b^{2}}\right) + 2 \, {\left(3 \, a b - c\right)} \sqrt{\frac{a - b}{b}} \arctan\left(\frac{b \sqrt{\frac{a - b}{b}}}{\sqrt{a^{2} x^{3} + b^{2}}}\right) + {\left(3 \, a b + c\right)} \sqrt{\frac{a + b}{b}} \log\left(\frac{a^{2} x^{3} + a b + 2 \, b^{2} - 2 \, \sqrt{a^{2} x^{3} + b^{2}} b \sqrt{\frac{a + b}{b}}}{a x^{3} - b}\right) + 4 \, \sqrt{a^{2} x^{3} + b^{2}} a}{6 \, a}, \frac{4 \, a b \log\left(b + \sqrt{a^{2} x^{3} + b^{2}}\right) - 4 \, a b \log\left(-b + \sqrt{a^{2} x^{3} + b^{2}}\right) + 2 \, {\left(3 \, a b + c\right)} \sqrt{-\frac{a + b}{b}} \arctan\left(\frac{b \sqrt{-\frac{a + b}{b}}}{\sqrt{a^{2} x^{3} + b^{2}}}\right) - {\left(3 \, a b - c\right)} \sqrt{-\frac{a - b}{b}} \log\left(\frac{a^{2} x^{3} - a b + 2 \, b^{2} + 2 \, \sqrt{a^{2} x^{3} + b^{2}} b \sqrt{-\frac{a - b}{b}}}{a x^{3} + b}\right) + 4 \, \sqrt{a^{2} x^{3} + b^{2}} a}{6 \, a}, \frac{2 \, a b \log\left(b + \sqrt{a^{2} x^{3} + b^{2}}\right) - 2 \, a b \log\left(-b + \sqrt{a^{2} x^{3} + b^{2}}\right) + {\left(3 \, a b + c\right)} \sqrt{-\frac{a + b}{b}} \arctan\left(\frac{b \sqrt{-\frac{a + b}{b}}}{\sqrt{a^{2} x^{3} + b^{2}}}\right) + {\left(3 \, a b - c\right)} \sqrt{\frac{a - b}{b}} \arctan\left(\frac{b \sqrt{\frac{a - b}{b}}}{\sqrt{a^{2} x^{3} + b^{2}}}\right) + 2 \, \sqrt{a^{2} x^{3} + b^{2}} a}{3 \, a}\right]"," ",0,"[1/6*(4*a*b*log(b + sqrt(a^2*x^3 + b^2)) - 4*a*b*log(-b + sqrt(a^2*x^3 + b^2)) - (3*a*b - c)*sqrt(-(a - b)/b)*log((a^2*x^3 - a*b + 2*b^2 + 2*sqrt(a^2*x^3 + b^2)*b*sqrt(-(a - b)/b))/(a*x^3 + b)) + (3*a*b + c)*sqrt((a + b)/b)*log((a^2*x^3 + a*b + 2*b^2 - 2*sqrt(a^2*x^3 + b^2)*b*sqrt((a + b)/b))/(a*x^3 - b)) + 4*sqrt(a^2*x^3 + b^2)*a)/a, 1/6*(4*a*b*log(b + sqrt(a^2*x^3 + b^2)) - 4*a*b*log(-b + sqrt(a^2*x^3 + b^2)) + 2*(3*a*b - c)*sqrt((a - b)/b)*arctan(b*sqrt((a - b)/b)/sqrt(a^2*x^3 + b^2)) + (3*a*b + c)*sqrt((a + b)/b)*log((a^2*x^3 + a*b + 2*b^2 - 2*sqrt(a^2*x^3 + b^2)*b*sqrt((a + b)/b))/(a*x^3 - b)) + 4*sqrt(a^2*x^3 + b^2)*a)/a, 1/6*(4*a*b*log(b + sqrt(a^2*x^3 + b^2)) - 4*a*b*log(-b + sqrt(a^2*x^3 + b^2)) + 2*(3*a*b + c)*sqrt(-(a + b)/b)*arctan(b*sqrt(-(a + b)/b)/sqrt(a^2*x^3 + b^2)) - (3*a*b - c)*sqrt(-(a - b)/b)*log((a^2*x^3 - a*b + 2*b^2 + 2*sqrt(a^2*x^3 + b^2)*b*sqrt(-(a - b)/b))/(a*x^3 + b)) + 4*sqrt(a^2*x^3 + b^2)*a)/a, 1/3*(2*a*b*log(b + sqrt(a^2*x^3 + b^2)) - 2*a*b*log(-b + sqrt(a^2*x^3 + b^2)) + (3*a*b + c)*sqrt(-(a + b)/b)*arctan(b*sqrt(-(a + b)/b)/sqrt(a^2*x^3 + b^2)) + (3*a*b - c)*sqrt((a - b)/b)*arctan(b*sqrt((a - b)/b)/sqrt(a^2*x^3 + b^2)) + 2*sqrt(a^2*x^3 + b^2)*a)/a]","A",0
2301,1,353,0,0.494593," ","integrate((2*x^8-x^4+1)/(x^4+1)^(1/4)/(x^8-2*x^4-1),x, algorithm=""fricas"")","-\frac{3}{4} \cdot 2^{\frac{7}{8}} \arctan\left(\frac{2^{\frac{7}{8}} x \sqrt{\frac{2^{\frac{1}{4}} x^{2} + \sqrt{x^{4} + 1}}{x^{2}}} - 2^{\frac{7}{8}} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{2 \, x}\right) - \frac{3}{16} \cdot 2^{\frac{7}{8}} \log\left(\frac{2^{\frac{1}{8}} x + {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{3}{16} \cdot 2^{\frac{7}{8}} \log\left(-\frac{2^{\frac{1}{8}} x - {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{3}{4} \cdot 2^{\frac{3}{8}} \arctan\left(\frac{2^{\frac{3}{8}} x \sqrt{\frac{2^{\frac{1}{4}} x^{2} + 2^{\frac{5}{8}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x + \sqrt{x^{4} + 1}}{x^{2}}} - x - 2^{\frac{3}{8}} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{3}{4} \cdot 2^{\frac{3}{8}} \arctan\left(\frac{2^{\frac{3}{8}} x \sqrt{\frac{2^{\frac{1}{4}} x^{2} - 2^{\frac{5}{8}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x + \sqrt{x^{4} + 1}}{x^{2}}} + x - 2^{\frac{3}{8}} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{3}{16} \cdot 2^{\frac{3}{8}} \log\left(\frac{4 \, {\left(2^{\frac{1}{4}} x^{2} + 2^{\frac{5}{8}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x + \sqrt{x^{4} + 1}\right)}}{x^{2}}\right) + \frac{3}{16} \cdot 2^{\frac{3}{8}} \log\left(\frac{4 \, {\left(2^{\frac{1}{4}} x^{2} - 2^{\frac{5}{8}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x + \sqrt{x^{4} + 1}\right)}}{x^{2}}\right) - \arctan\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \log\left(\frac{x + {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \log\left(-\frac{x - {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-3/4*2^(7/8)*arctan(1/2*(2^(7/8)*x*sqrt((2^(1/4)*x^2 + sqrt(x^4 + 1))/x^2) - 2^(7/8)*(x^4 + 1)^(1/4))/x) - 3/16*2^(7/8)*log((2^(1/8)*x + (x^4 + 1)^(1/4))/x) + 3/16*2^(7/8)*log(-(2^(1/8)*x - (x^4 + 1)^(1/4))/x) - 3/4*2^(3/8)*arctan((2^(3/8)*x*sqrt((2^(1/4)*x^2 + 2^(5/8)*(x^4 + 1)^(1/4)*x + sqrt(x^4 + 1))/x^2) - x - 2^(3/8)*(x^4 + 1)^(1/4))/x) - 3/4*2^(3/8)*arctan((2^(3/8)*x*sqrt((2^(1/4)*x^2 - 2^(5/8)*(x^4 + 1)^(1/4)*x + sqrt(x^4 + 1))/x^2) + x - 2^(3/8)*(x^4 + 1)^(1/4))/x) - 3/16*2^(3/8)*log(4*(2^(1/4)*x^2 + 2^(5/8)*(x^4 + 1)^(1/4)*x + sqrt(x^4 + 1))/x^2) + 3/16*2^(3/8)*log(4*(2^(1/4)*x^2 - 2^(5/8)*(x^4 + 1)^(1/4)*x + sqrt(x^4 + 1))/x^2) - arctan((x^4 + 1)^(1/4)/x) + 1/2*log((x + (x^4 + 1)^(1/4))/x) - 1/2*log(-(x - (x^4 + 1)^(1/4))/x)","B",0
2302,1,368,0,3.912722," ","integrate((x^2-1)*(x^2+(x^4+1)^(1/2))^(1/2)/(x^2+1)/(x^4+1)^(1/2),x, algorithm=""fricas"")","-\sqrt{2 \, \sqrt{2} - 2} \arctan\left(\frac{{\left(4 \, x^{2} + 2 \, \sqrt{2} {\left(x^{2} + 1\right)} + \sqrt{x^{4} + 1} {\left({\left(\sqrt{2} + 2\right)} \sqrt{-8 \, \sqrt{2} + 12} - 2 \, \sqrt{2} - 4\right)} - {\left(2 \, x^{2} + \sqrt{2} {\left(x^{2} + 3\right)} + 4\right)} \sqrt{-8 \, \sqrt{2} + 12}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{2 \, \sqrt{2} - 2}}{8 \, x}\right) + \frac{1}{4} \, \sqrt{2} \log\left(4 \, x^{4} + 4 \, \sqrt{x^{4} + 1} x^{2} + 2 \, {\left(\sqrt{2} x^{3} + \sqrt{2} \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 1\right) + \frac{1}{4} \, \sqrt{2 \, \sqrt{2} + 2} \log\left(\frac{2 \, \sqrt{2} x^{2} + 4 \, x^{2} + {\left(\sqrt{2} \sqrt{x^{4} + 1} x - \sqrt{2} {\left(x^{3} + x\right)} - 2 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{2 \, \sqrt{2} + 2} + 2 \, \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)}}{x^{2} + 1}\right) - \frac{1}{4} \, \sqrt{2 \, \sqrt{2} + 2} \log\left(\frac{2 \, \sqrt{2} x^{2} + 4 \, x^{2} - {\left(\sqrt{2} \sqrt{x^{4} + 1} x - \sqrt{2} {\left(x^{3} + x\right)} - 2 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{2 \, \sqrt{2} + 2} + 2 \, \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)}}{x^{2} + 1}\right)"," ",0,"-sqrt(2*sqrt(2) - 2)*arctan(1/8*(4*x^2 + 2*sqrt(2)*(x^2 + 1) + sqrt(x^4 + 1)*((sqrt(2) + 2)*sqrt(-8*sqrt(2) + 12) - 2*sqrt(2) - 4) - (2*x^2 + sqrt(2)*(x^2 + 3) + 4)*sqrt(-8*sqrt(2) + 12))*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(2*sqrt(2) - 2)/x) + 1/4*sqrt(2)*log(4*x^4 + 4*sqrt(x^4 + 1)*x^2 + 2*(sqrt(2)*x^3 + sqrt(2)*sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1) + 1/4*sqrt(2*sqrt(2) + 2)*log((2*sqrt(2)*x^2 + 4*x^2 + (sqrt(2)*sqrt(x^4 + 1)*x - sqrt(2)*(x^3 + x) - 2*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(2*sqrt(2) + 2) + 2*sqrt(x^4 + 1)*(sqrt(2) + 1))/(x^2 + 1)) - 1/4*sqrt(2*sqrt(2) + 2)*log((2*sqrt(2)*x^2 + 4*x^2 - (sqrt(2)*sqrt(x^4 + 1)*x - sqrt(2)*(x^3 + x) - 2*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(2*sqrt(2) + 2) + 2*sqrt(x^4 + 1)*(sqrt(2) + 1))/(x^2 + 1))","B",0
2303,-2,0,0,0.000000," ","integrate(x/(x+(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
2304,-2,0,0,0.000000," ","integrate(x/(x+(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
2305,1,175,0,2.314456," ","integrate(1/(1+x)/(x^2-x+1)^(1/3),x, algorithm=""fricas"")","-\frac{1}{18} \cdot 3^{\frac{2}{3}} \log\left(\frac{3 \cdot 3^{\frac{2}{3}} {\left(x^{2} - x + 1\right)}^{\frac{2}{3}} + 3^{\frac{1}{3}} {\left(x^{2} - 4 \, x + 4\right)} - 3 \, {\left(x^{2} - x + 1\right)}^{\frac{1}{3}} {\left(x - 2\right)}}{x^{2} + 2 \, x + 1}\right) + \frac{1}{9} \cdot 3^{\frac{2}{3}} \log\left(\frac{3^{\frac{1}{3}} {\left(x - 2\right)} + 3 \, {\left(x^{2} - x + 1\right)}^{\frac{1}{3}}}{x + 1}\right) - \frac{1}{3} \cdot 3^{\frac{1}{6}} \arctan\left(\frac{3^{\frac{1}{6}} {\left(6 \cdot 3^{\frac{2}{3}} {\left(x^{2} - x + 1\right)}^{\frac{2}{3}} {\left(x - 2\right)} + 3^{\frac{1}{3}} {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)} + 6 \, {\left(x^{2} - x + 1\right)}^{\frac{1}{3}} {\left(x^{2} - 4 \, x + 4\right)}\right)}}{3 \, {\left(x^{3} - 15 \, x^{2} + 21 \, x - 17\right)}}\right)"," ",0,"-1/18*3^(2/3)*log((3*3^(2/3)*(x^2 - x + 1)^(2/3) + 3^(1/3)*(x^2 - 4*x + 4) - 3*(x^2 - x + 1)^(1/3)*(x - 2))/(x^2 + 2*x + 1)) + 1/9*3^(2/3)*log((3^(1/3)*(x - 2) + 3*(x^2 - x + 1)^(1/3))/(x + 1)) - 1/3*3^(1/6)*arctan(1/3*3^(1/6)*(6*3^(2/3)*(x^2 - x + 1)^(2/3)*(x - 2) + 3^(1/3)*(x^3 + 3*x^2 + 3*x + 1) + 6*(x^2 - x + 1)^(1/3)*(x^2 - 4*x + 4))/(x^3 - 15*x^2 + 21*x - 17))","A",0
2306,1,2131,0,0.617436," ","integrate((x^4+1)*(x^4-x^3)^(1/4)/x^4/(x^4-1),x, algorithm=""fricas"")","-\frac{180 \cdot 2^{\frac{5}{8}} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} x^{3} \sqrt{-2 \, \sqrt{2} + 4} \arctan\left(\frac{2^{\frac{3}{8}} {\left(\sqrt{2} {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} {\left(\sqrt{2} x + x\right)}\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \sqrt{\frac{4 \cdot 2^{\frac{1}{4}} x^{2} + 2^{\frac{1}{8}} {\left({\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \cdot 2^{\frac{3}{8}} {\left(\sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)}\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} - 4 \, \sqrt{2} x + 4 \, {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, x}{4 \, x}\right) + 180 \cdot 2^{\frac{5}{8}} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} x^{3} \sqrt{-2 \, \sqrt{2} + 4} \arctan\left(\frac{2^{\frac{3}{8}} {\left(\sqrt{2} {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} {\left(\sqrt{2} x + x\right)}\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \sqrt{\frac{4 \cdot 2^{\frac{1}{4}} x^{2} - 2^{\frac{1}{8}} {\left({\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \cdot 2^{\frac{3}{8}} {\left(\sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)}\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{2} x - 4 \, {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, x}{4 \, x}\right) + 180 \cdot 2^{\frac{5}{8}} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} x^{3} \sqrt{-2 \, \sqrt{2} + 4} \arctan\left(\frac{2^{\frac{3}{8}} {\left(\sqrt{2} {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} {\left(\sqrt{2} x + x\right)}\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \sqrt{\frac{4 \cdot 2^{\frac{1}{4}} x^{2} + 2^{\frac{1}{8}} {\left({\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \cdot 2^{\frac{3}{8}} {\left(\sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)}\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} - 4 \, \sqrt{2} x - 4 \, {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, x}{4 \, x}\right) + 180 \cdot 2^{\frac{5}{8}} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} x^{3} \sqrt{-2 \, \sqrt{2} + 4} \arctan\left(\frac{2^{\frac{3}{8}} {\left(\sqrt{2} {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} {\left(\sqrt{2} x + x\right)}\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \sqrt{\frac{4 \cdot 2^{\frac{1}{4}} x^{2} - 2^{\frac{1}{8}} {\left({\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \cdot 2^{\frac{3}{8}} {\left(\sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)}\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{2} x + 4 \, {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, x}{4 \, x}\right) - 360 \cdot 8^{\frac{3}{4}} x^{3} \arctan\left(\frac{8^{\frac{1}{4}} x \sqrt{\frac{\sqrt{2} x^{2} + \sqrt{x^{4} - x^{3}}}{x^{2}}} - 8^{\frac{1}{4}} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{2 \, x}\right) + 90 \cdot 8^{\frac{3}{4}} x^{3} \log\left(\frac{8^{\frac{3}{4}} x + 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - 90 \cdot 8^{\frac{3}{4}} x^{3} \log\left(-\frac{8^{\frac{3}{4}} x - 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 45 \cdot 2^{\frac{1}{8}} {\left(4 \, x^{3} - {\left(\sqrt{2} x^{3} + 2 \, x^{3}\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \log\left(\frac{4 \cdot 2^{\frac{1}{4}} x^{2} + 2^{\frac{1}{8}} {\left({\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} - x^{3}}}{4 \, x^{2}}\right) - 45 \cdot 2^{\frac{1}{8}} {\left(4 \, x^{3} - {\left(\sqrt{2} x^{3} + 2 \, x^{3}\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \log\left(\frac{4 \cdot 2^{\frac{1}{4}} x^{2} - 2^{\frac{1}{8}} {\left({\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} - x^{3}}}{4 \, x^{2}}\right) - 45 \cdot 2^{\frac{1}{8}} {\left(4 \, x^{3} + {\left(\sqrt{2} x^{3} + 2 \, x^{3}\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \log\left(\frac{4 \cdot 2^{\frac{1}{4}} x^{2} + 2^{\frac{1}{8}} {\left({\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} - x^{3}}}{4 \, x^{2}}\right) + 45 \cdot 2^{\frac{1}{8}} {\left(4 \, x^{3} + {\left(\sqrt{2} x^{3} + 2 \, x^{3}\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \log\left(\frac{4 \cdot 2^{\frac{1}{4}} x^{2} - 2^{\frac{1}{8}} {\left({\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} - x^{3}}}{4 \, x^{2}}\right) + 64 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(4 \, x^{2} + x - 5\right)}}{720 \, x^{3}}"," ",0,"-1/720*(180*2^(5/8)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*x^3*sqrt(-2*sqrt(2) + 4)*arctan(1/4*(2^(3/8)*(sqrt(2)*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) - sqrt(2)*(sqrt(2)*x + x))*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*sqrt((4*2^(1/4)*x^2 + 2^(1/8)*((x^4 - x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 4*(x^4 - x^3)^(1/4)*x)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 - x^3))/x^2) - 2*2^(3/8)*(sqrt(2)*(x^4 - x^3)^(1/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - sqrt(2)*(x^4 - x^3)^(1/4)*(sqrt(2) + 1))*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) - 4*sqrt(2)*x + 4*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) - 4*x)/x) + 180*2^(5/8)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*x^3*sqrt(-2*sqrt(2) + 4)*arctan(1/4*(2^(3/8)*(sqrt(2)*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) - sqrt(2)*(sqrt(2)*x + x))*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*sqrt((4*2^(1/4)*x^2 - 2^(1/8)*((x^4 - x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 4*(x^4 - x^3)^(1/4)*x)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 - x^3))/x^2) - 2*2^(3/8)*(sqrt(2)*(x^4 - x^3)^(1/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - sqrt(2)*(x^4 - x^3)^(1/4)*(sqrt(2) + 1))*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(2)*x - 4*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) + 4*x)/x) + 180*2^(5/8)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*x^3*sqrt(-2*sqrt(2) + 4)*arctan(1/4*(2^(3/8)*(sqrt(2)*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) + sqrt(2)*(sqrt(2)*x + x))*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*sqrt((4*2^(1/4)*x^2 + 2^(1/8)*((x^4 - x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) + 4*(x^4 - x^3)^(1/4)*x)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 - x^3))/x^2) - 2*2^(3/8)*(sqrt(2)*(x^4 - x^3)^(1/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) + sqrt(2)*(x^4 - x^3)^(1/4)*(sqrt(2) + 1))*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) - 4*sqrt(2)*x - 4*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) - 4*x)/x) + 180*2^(5/8)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*x^3*sqrt(-2*sqrt(2) + 4)*arctan(1/4*(2^(3/8)*(sqrt(2)*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) + sqrt(2)*(sqrt(2)*x + x))*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*sqrt((4*2^(1/4)*x^2 - 2^(1/8)*((x^4 - x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) + 4*(x^4 - x^3)^(1/4)*x)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 - x^3))/x^2) - 2*2^(3/8)*(sqrt(2)*(x^4 - x^3)^(1/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) + sqrt(2)*(x^4 - x^3)^(1/4)*(sqrt(2) + 1))*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(2)*x + 4*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) + 4*x)/x) - 360*8^(3/4)*x^3*arctan(1/2*(8^(1/4)*x*sqrt((sqrt(2)*x^2 + sqrt(x^4 - x^3))/x^2) - 8^(1/4)*(x^4 - x^3)^(1/4))/x) + 90*8^(3/4)*x^3*log((8^(3/4)*x + 4*(x^4 - x^3)^(1/4))/x) - 90*8^(3/4)*x^3*log(-(8^(3/4)*x - 4*(x^4 - x^3)^(1/4))/x) + 45*2^(1/8)*(4*x^3 - (sqrt(2)*x^3 + 2*x^3)*sqrt(-2*sqrt(2) + 4))*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*log(1/4*(4*2^(1/4)*x^2 + 2^(1/8)*((x^4 - x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 4*(x^4 - x^3)^(1/4)*x)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 - x^3))/x^2) - 45*2^(1/8)*(4*x^3 - (sqrt(2)*x^3 + 2*x^3)*sqrt(-2*sqrt(2) + 4))*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*log(1/4*(4*2^(1/4)*x^2 - 2^(1/8)*((x^4 - x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 4*(x^4 - x^3)^(1/4)*x)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 - x^3))/x^2) - 45*2^(1/8)*(4*x^3 + (sqrt(2)*x^3 + 2*x^3)*sqrt(-2*sqrt(2) + 4))*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*log(1/4*(4*2^(1/4)*x^2 + 2^(1/8)*((x^4 - x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) + 4*(x^4 - x^3)^(1/4)*x)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 - x^3))/x^2) + 45*2^(1/8)*(4*x^3 + (sqrt(2)*x^3 + 2*x^3)*sqrt(-2*sqrt(2) + 4))*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*log(1/4*(4*2^(1/4)*x^2 - 2^(1/8)*((x^4 - x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) + 4*(x^4 - x^3)^(1/4)*x)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 - x^3))/x^2) + 64*(x^4 - x^3)^(1/4)*(4*x^2 + x - 5))/x^3","B",0
2307,1,2131,0,0.627891," ","integrate((x^4+1)*(x^4-x^3)^(1/4)/x^4/(x^4-1),x, algorithm=""fricas"")","-\frac{180 \cdot 2^{\frac{5}{8}} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} x^{3} \sqrt{-2 \, \sqrt{2} + 4} \arctan\left(\frac{2^{\frac{3}{8}} {\left(\sqrt{2} {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} {\left(\sqrt{2} x + x\right)}\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \sqrt{\frac{4 \cdot 2^{\frac{1}{4}} x^{2} + 2^{\frac{1}{8}} {\left({\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \cdot 2^{\frac{3}{8}} {\left(\sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)}\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} - 4 \, \sqrt{2} x + 4 \, {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, x}{4 \, x}\right) + 180 \cdot 2^{\frac{5}{8}} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} x^{3} \sqrt{-2 \, \sqrt{2} + 4} \arctan\left(\frac{2^{\frac{3}{8}} {\left(\sqrt{2} {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} {\left(\sqrt{2} x + x\right)}\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \sqrt{\frac{4 \cdot 2^{\frac{1}{4}} x^{2} - 2^{\frac{1}{8}} {\left({\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \cdot 2^{\frac{3}{8}} {\left(\sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)}\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{2} x - 4 \, {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, x}{4 \, x}\right) + 180 \cdot 2^{\frac{5}{8}} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} x^{3} \sqrt{-2 \, \sqrt{2} + 4} \arctan\left(\frac{2^{\frac{3}{8}} {\left(\sqrt{2} {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} {\left(\sqrt{2} x + x\right)}\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \sqrt{\frac{4 \cdot 2^{\frac{1}{4}} x^{2} + 2^{\frac{1}{8}} {\left({\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \cdot 2^{\frac{3}{8}} {\left(\sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)}\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} - 4 \, \sqrt{2} x - 4 \, {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, x}{4 \, x}\right) + 180 \cdot 2^{\frac{5}{8}} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} x^{3} \sqrt{-2 \, \sqrt{2} + 4} \arctan\left(\frac{2^{\frac{3}{8}} {\left(\sqrt{2} {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} {\left(\sqrt{2} x + x\right)}\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \sqrt{\frac{4 \cdot 2^{\frac{1}{4}} x^{2} - 2^{\frac{1}{8}} {\left({\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \cdot 2^{\frac{3}{8}} {\left(\sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)}\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{2} x + 4 \, {\left(\sqrt{2} x + x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, x}{4 \, x}\right) - 360 \cdot 8^{\frac{3}{4}} x^{3} \arctan\left(\frac{8^{\frac{1}{4}} x \sqrt{\frac{\sqrt{2} x^{2} + \sqrt{x^{4} - x^{3}}}{x^{2}}} - 8^{\frac{1}{4}} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{2 \, x}\right) + 90 \cdot 8^{\frac{3}{4}} x^{3} \log\left(\frac{8^{\frac{3}{4}} x + 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - 90 \cdot 8^{\frac{3}{4}} x^{3} \log\left(-\frac{8^{\frac{3}{4}} x - 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 45 \cdot 2^{\frac{1}{8}} {\left(4 \, x^{3} - {\left(\sqrt{2} x^{3} + 2 \, x^{3}\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \log\left(\frac{4 \cdot 2^{\frac{1}{4}} x^{2} + 2^{\frac{1}{8}} {\left({\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} - x^{3}}}{4 \, x^{2}}\right) - 45 \cdot 2^{\frac{1}{8}} {\left(4 \, x^{3} - {\left(\sqrt{2} x^{3} + 2 \, x^{3}\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \log\left(\frac{4 \cdot 2^{\frac{1}{4}} x^{2} - 2^{\frac{1}{8}} {\left({\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} - x^{3}}}{4 \, x^{2}}\right) - 45 \cdot 2^{\frac{1}{8}} {\left(4 \, x^{3} + {\left(\sqrt{2} x^{3} + 2 \, x^{3}\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \log\left(\frac{4 \cdot 2^{\frac{1}{4}} x^{2} + 2^{\frac{1}{8}} {\left({\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} - x^{3}}}{4 \, x^{2}}\right) + 45 \cdot 2^{\frac{1}{8}} {\left(4 \, x^{3} + {\left(\sqrt{2} x^{3} + 2 \, x^{3}\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} \log\left(\frac{4 \cdot 2^{\frac{1}{4}} x^{2} - 2^{\frac{1}{8}} {\left({\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{2} x + 2 \, x\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{-2 \, {\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{2} + 8} + 4 \, \sqrt{x^{4} - x^{3}}}{4 \, x^{2}}\right) + 64 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(4 \, x^{2} + x - 5\right)}}{720 \, x^{3}}"," ",0,"-1/720*(180*2^(5/8)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*x^3*sqrt(-2*sqrt(2) + 4)*arctan(1/4*(2^(3/8)*(sqrt(2)*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) - sqrt(2)*(sqrt(2)*x + x))*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*sqrt((4*2^(1/4)*x^2 + 2^(1/8)*((x^4 - x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 4*(x^4 - x^3)^(1/4)*x)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 - x^3))/x^2) - 2*2^(3/8)*(sqrt(2)*(x^4 - x^3)^(1/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - sqrt(2)*(x^4 - x^3)^(1/4)*(sqrt(2) + 1))*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) - 4*sqrt(2)*x + 4*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) - 4*x)/x) + 180*2^(5/8)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*x^3*sqrt(-2*sqrt(2) + 4)*arctan(1/4*(2^(3/8)*(sqrt(2)*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) - sqrt(2)*(sqrt(2)*x + x))*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*sqrt((4*2^(1/4)*x^2 - 2^(1/8)*((x^4 - x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 4*(x^4 - x^3)^(1/4)*x)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 - x^3))/x^2) - 2*2^(3/8)*(sqrt(2)*(x^4 - x^3)^(1/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - sqrt(2)*(x^4 - x^3)^(1/4)*(sqrt(2) + 1))*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(2)*x - 4*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) + 4*x)/x) + 180*2^(5/8)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*x^3*sqrt(-2*sqrt(2) + 4)*arctan(1/4*(2^(3/8)*(sqrt(2)*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) + sqrt(2)*(sqrt(2)*x + x))*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*sqrt((4*2^(1/4)*x^2 + 2^(1/8)*((x^4 - x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) + 4*(x^4 - x^3)^(1/4)*x)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 - x^3))/x^2) - 2*2^(3/8)*(sqrt(2)*(x^4 - x^3)^(1/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) + sqrt(2)*(x^4 - x^3)^(1/4)*(sqrt(2) + 1))*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) - 4*sqrt(2)*x - 4*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) - 4*x)/x) + 180*2^(5/8)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*x^3*sqrt(-2*sqrt(2) + 4)*arctan(1/4*(2^(3/8)*(sqrt(2)*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) + sqrt(2)*(sqrt(2)*x + x))*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*sqrt((4*2^(1/4)*x^2 - 2^(1/8)*((x^4 - x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) + 4*(x^4 - x^3)^(1/4)*x)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 - x^3))/x^2) - 2*2^(3/8)*(sqrt(2)*(x^4 - x^3)^(1/4)*(sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) + sqrt(2)*(x^4 - x^3)^(1/4)*(sqrt(2) + 1))*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(2)*x + 4*(sqrt(2)*x + x)*sqrt(-2*sqrt(2) + 4) + 4*x)/x) - 360*8^(3/4)*x^3*arctan(1/2*(8^(1/4)*x*sqrt((sqrt(2)*x^2 + sqrt(x^4 - x^3))/x^2) - 8^(1/4)*(x^4 - x^3)^(1/4))/x) + 90*8^(3/4)*x^3*log((8^(3/4)*x + 4*(x^4 - x^3)^(1/4))/x) - 90*8^(3/4)*x^3*log(-(8^(3/4)*x - 4*(x^4 - x^3)^(1/4))/x) + 45*2^(1/8)*(4*x^3 - (sqrt(2)*x^3 + 2*x^3)*sqrt(-2*sqrt(2) + 4))*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*log(1/4*(4*2^(1/4)*x^2 + 2^(1/8)*((x^4 - x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 4*(x^4 - x^3)^(1/4)*x)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 - x^3))/x^2) - 45*2^(1/8)*(4*x^3 - (sqrt(2)*x^3 + 2*x^3)*sqrt(-2*sqrt(2) + 4))*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*log(1/4*(4*2^(1/4)*x^2 - 2^(1/8)*((x^4 - x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) - 4*(x^4 - x^3)^(1/4)*x)*sqrt(2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 - x^3))/x^2) - 45*2^(1/8)*(4*x^3 + (sqrt(2)*x^3 + 2*x^3)*sqrt(-2*sqrt(2) + 4))*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*log(1/4*(4*2^(1/4)*x^2 + 2^(1/8)*((x^4 - x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) + 4*(x^4 - x^3)^(1/4)*x)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 - x^3))/x^2) + 45*2^(1/8)*(4*x^3 + (sqrt(2)*x^3 + 2*x^3)*sqrt(-2*sqrt(2) + 4))*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8)*log(1/4*(4*2^(1/4)*x^2 - 2^(1/8)*((x^4 - x^3)^(1/4)*(sqrt(2)*x + 2*x)*sqrt(-2*sqrt(2) + 4) + 4*(x^4 - x^3)^(1/4)*x)*sqrt(-2*(2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(2) + 8) + 4*sqrt(x^4 - x^3))/x^2) + 64*(x^4 - x^3)^(1/4)*(4*x^2 + x - 5))/x^3","B",0
2308,-1,0,0,0.000000," ","integrate((a*x^3+b*x)^(1/3)*(a*x^4+b)/x^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2309,1,1141,0,0.810631," ","integrate((a^4*x^4+b^4)/(a^2*x^3-b^2*x)^(1/2)/(a^4*x^4-b^4),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{2} \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(4 \, \sqrt{2} \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}} - \sqrt{2} \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x} - {\left(2 \, a^{2} x^{3} - 2 \, b^{2} x - {\left(4 \, \sqrt{2} \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}} + \sqrt{2} \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{\frac{a^{4} x^{4} + 2 \, a^{2} b^{2} x^{2} + b^{4} + 8 \, {\left(\sqrt{2} \left(\frac{1}{4}\right)^{\frac{1}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} + \sqrt{2} \left(\frac{1}{4}\right)^{\frac{3}{4}} {\left(a^{4} b^{2} x^{2} - a^{2} b^{4}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 8 \, {\left(a^{4} b^{2} x^{3} - a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}}{a^{4} x^{4} + 2 \, a^{2} b^{2} x^{2} + b^{4}}}}{2 \, {\left(a^{2} x^{3} - b^{2} x\right)}}\right) + 4 \, \sqrt{2} \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(4 \, \sqrt{2} \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}} - \sqrt{2} \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + {\left(2 \, a^{2} x^{3} - 2 \, b^{2} x + {\left(4 \, \sqrt{2} \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}} + \sqrt{2} \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{\frac{a^{4} x^{4} + 2 \, a^{2} b^{2} x^{2} + b^{4} - 8 \, {\left(\sqrt{2} \left(\frac{1}{4}\right)^{\frac{1}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} + \sqrt{2} \left(\frac{1}{4}\right)^{\frac{3}{4}} {\left(a^{4} b^{2} x^{2} - a^{2} b^{4}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 8 \, {\left(a^{4} b^{2} x^{3} - a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}}{a^{4} x^{4} + 2 \, a^{2} b^{2} x^{2} + b^{4}}}}{2 \, {\left(a^{2} x^{3} - b^{2} x\right)}}\right) + \sqrt{2} \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} \log\left(\frac{a^{4} x^{4} + 2 \, a^{2} b^{2} x^{2} + b^{4} + 8 \, {\left(\sqrt{2} \left(\frac{1}{4}\right)^{\frac{1}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} + \sqrt{2} \left(\frac{1}{4}\right)^{\frac{3}{4}} {\left(a^{4} b^{2} x^{2} - a^{2} b^{4}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 8 \, {\left(a^{4} b^{2} x^{3} - a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}}{a^{4} x^{4} + 2 \, a^{2} b^{2} x^{2} + b^{4}}\right) - \sqrt{2} \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} \log\left(\frac{a^{4} x^{4} + 2 \, a^{2} b^{2} x^{2} + b^{4} - 8 \, {\left(\sqrt{2} \left(\frac{1}{4}\right)^{\frac{1}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} + \sqrt{2} \left(\frac{1}{4}\right)^{\frac{3}{4}} {\left(a^{4} b^{2} x^{2} - a^{2} b^{4}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 8 \, {\left(a^{4} b^{2} x^{3} - a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}}{a^{4} x^{4} + 2 \, a^{2} b^{2} x^{2} + b^{4}}\right) + 16 \, \sqrt{a^{2} x^{3} - b^{2} x}}{16 \, {\left(a^{2} x^{2} - b^{2}\right)}}"," ",0,"-1/16*(4*sqrt(2)*(1/4)^(1/4)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4)*arctan(1/2*((4*sqrt(2)*(1/4)^(3/4)*a^2*b^2*x*(1/(a^2*b^2))^(3/4) - sqrt(2)*(1/4)^(1/4)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4))*sqrt(a^2*x^3 - b^2*x) - (2*a^2*x^3 - 2*b^2*x - (4*sqrt(2)*(1/4)^(3/4)*a^2*b^2*x*(1/(a^2*b^2))^(3/4) + sqrt(2)*(1/4)^(1/4)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4))*sqrt(a^2*x^3 - b^2*x))*sqrt((a^4*x^4 + 2*a^2*b^2*x^2 + b^4 + 8*(sqrt(2)*(1/4)^(1/4)*a^2*b^2*x*(1/(a^2*b^2))^(1/4) + sqrt(2)*(1/4)^(3/4)*(a^4*b^2*x^2 - a^2*b^4)*(1/(a^2*b^2))^(3/4))*sqrt(a^2*x^3 - b^2*x) + 8*(a^4*b^2*x^3 - a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 + 2*a^2*b^2*x^2 + b^4)))/(a^2*x^3 - b^2*x)) + 4*sqrt(2)*(1/4)^(1/4)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4)*arctan(1/2*((4*sqrt(2)*(1/4)^(3/4)*a^2*b^2*x*(1/(a^2*b^2))^(3/4) - sqrt(2)*(1/4)^(1/4)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4))*sqrt(a^2*x^3 - b^2*x) + (2*a^2*x^3 - 2*b^2*x + (4*sqrt(2)*(1/4)^(3/4)*a^2*b^2*x*(1/(a^2*b^2))^(3/4) + sqrt(2)*(1/4)^(1/4)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4))*sqrt(a^2*x^3 - b^2*x))*sqrt((a^4*x^4 + 2*a^2*b^2*x^2 + b^4 - 8*(sqrt(2)*(1/4)^(1/4)*a^2*b^2*x*(1/(a^2*b^2))^(1/4) + sqrt(2)*(1/4)^(3/4)*(a^4*b^2*x^2 - a^2*b^4)*(1/(a^2*b^2))^(3/4))*sqrt(a^2*x^3 - b^2*x) + 8*(a^4*b^2*x^3 - a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 + 2*a^2*b^2*x^2 + b^4)))/(a^2*x^3 - b^2*x)) + sqrt(2)*(1/4)^(1/4)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4)*log((a^4*x^4 + 2*a^2*b^2*x^2 + b^4 + 8*(sqrt(2)*(1/4)^(1/4)*a^2*b^2*x*(1/(a^2*b^2))^(1/4) + sqrt(2)*(1/4)^(3/4)*(a^4*b^2*x^2 - a^2*b^4)*(1/(a^2*b^2))^(3/4))*sqrt(a^2*x^3 - b^2*x) + 8*(a^4*b^2*x^3 - a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 + 2*a^2*b^2*x^2 + b^4)) - sqrt(2)*(1/4)^(1/4)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4)*log((a^4*x^4 + 2*a^2*b^2*x^2 + b^4 - 8*(sqrt(2)*(1/4)^(1/4)*a^2*b^2*x*(1/(a^2*b^2))^(1/4) + sqrt(2)*(1/4)^(3/4)*(a^4*b^2*x^2 - a^2*b^4)*(1/(a^2*b^2))^(3/4))*sqrt(a^2*x^3 - b^2*x) + 8*(a^4*b^2*x^3 - a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 + 2*a^2*b^2*x^2 + b^4)) + 16*sqrt(a^2*x^3 - b^2*x))/(a^2*x^2 - b^2)","B",0
2310,1,1289,0,0.813921," ","integrate((1+x)/(x^3-1)/(x^8-16*x^6+96*x^4-256*x^2+256)^(1/8),x, algorithm=""fricas"")","-\frac{1}{126} \cdot 21^{\frac{1}{4}} \sqrt{3 \, \sqrt{21} + 14} {\left(2 \, \sqrt{21} - 9\right)} \log\left(7056 \, x^{2} + 1008 \, {\left(21^{\frac{1}{4}} {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}} {\left(3 \, \sqrt{21} - 14\right)} - 21^{\frac{1}{4}} {\left(\sqrt{21} {\left(3 \, x + 1\right)} - 14 \, x - 7\right)}\right)} \sqrt{3 \, \sqrt{21} + 14} - 7056 \, {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}} {\left(2 \, x + 1\right)} + 7056 \, x + 7056 \, \sqrt{21} + 7056 \, {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{4}} + 7056\right) + \frac{1}{126} \cdot 21^{\frac{1}{4}} \sqrt{3 \, \sqrt{21} + 14} {\left(2 \, \sqrt{21} - 9\right)} \log\left(7056 \, x^{2} - 1008 \, {\left(21^{\frac{1}{4}} {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}} {\left(3 \, \sqrt{21} - 14\right)} - 21^{\frac{1}{4}} {\left(\sqrt{21} {\left(3 \, x + 1\right)} - 14 \, x - 7\right)}\right)} \sqrt{3 \, \sqrt{21} + 14} - 7056 \, {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}} {\left(2 \, x + 1\right)} + 7056 \, x + 7056 \, \sqrt{21} + 7056 \, {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{4}} + 7056\right) + \frac{2}{63} \cdot 21^{\frac{1}{4}} \sqrt{3} \sqrt{3 \, \sqrt{21} + 14} \arctan\left(\frac{1}{17640} \, \sqrt{7} \sqrt{7 \, x^{2} - {\left(21^{\frac{1}{4}} {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}} {\left(3 \, \sqrt{21} - 14\right)} - 21^{\frac{1}{4}} {\left(\sqrt{21} {\left(3 \, x + 1\right)} - 14 \, x - 7\right)}\right)} \sqrt{3 \, \sqrt{21} + 14} - 7 \, {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}} {\left(2 \, x + 1\right)} + 7 \, x + 7 \, \sqrt{21} + 7 \, {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{4}} + 7} {\left(3 \, \sqrt{21} {\left(3 \, \sqrt{21} \sqrt{3} + 7 \, \sqrt{3}\right)} + {\left(21^{\frac{3}{4}} {\left(\sqrt{21} \sqrt{3} + 9 \, \sqrt{3}\right)} - 3 \cdot 21^{\frac{1}{4}} {\left(13 \, \sqrt{21} \sqrt{3} - 63 \, \sqrt{3}\right)}\right)} \sqrt{3 \, \sqrt{21} + 14} + 189 \, \sqrt{21} \sqrt{3} - 819 \, \sqrt{3}\right)} + \frac{1}{120} \, \sqrt{21} \sqrt{3} {\left(9 \, x + 4\right)} + \frac{1}{840} \, \sqrt{21} {\left(\sqrt{21} \sqrt{3} {\left(3 \, x + 8\right)} + 7 \, \sqrt{3} {\left(x - 4\right)}\right)} - \frac{1}{40} \, \sqrt{3} {\left(13 \, x + 8\right)} + \frac{1}{2520} \, {\left(21^{\frac{3}{4}} {\left(\sqrt{21} \sqrt{3} {\left(x - 4\right)} + 3 \, \sqrt{3} {\left(3 \, x + 8\right)}\right)} - 3 \cdot 21^{\frac{1}{4}} {\left(\sqrt{21} \sqrt{3} {\left(13 \, x + 128\right)} - 21 \, \sqrt{3} {\left(3 \, x + 28\right)}\right)} - {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}} {\left(21^{\frac{3}{4}} {\left(\sqrt{21} \sqrt{3} + 9 \, \sqrt{3}\right)} - 3 \cdot 21^{\frac{1}{4}} {\left(13 \, \sqrt{21} \sqrt{3} - 63 \, \sqrt{3}\right)}\right)}\right)} \sqrt{3 \, \sqrt{21} + 14} - \frac{1}{840} \, {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}} {\left(\sqrt{21} {\left(3 \, \sqrt{21} \sqrt{3} + 7 \, \sqrt{3}\right)} + 63 \, \sqrt{21} \sqrt{3} - 273 \, \sqrt{3}\right)}\right) + \frac{2}{63} \cdot 21^{\frac{1}{4}} \sqrt{3} \sqrt{3 \, \sqrt{21} + 14} \arctan\left(-\frac{1}{17640} \, \sqrt{7} \sqrt{7 \, x^{2} + {\left(21^{\frac{1}{4}} {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}} {\left(3 \, \sqrt{21} - 14\right)} - 21^{\frac{1}{4}} {\left(\sqrt{21} {\left(3 \, x + 1\right)} - 14 \, x - 7\right)}\right)} \sqrt{3 \, \sqrt{21} + 14} - 7 \, {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}} {\left(2 \, x + 1\right)} + 7 \, x + 7 \, \sqrt{21} + 7 \, {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{4}} + 7} {\left(3 \, \sqrt{21} {\left(3 \, \sqrt{21} \sqrt{3} + 7 \, \sqrt{3}\right)} - {\left(21^{\frac{3}{4}} {\left(\sqrt{21} \sqrt{3} + 9 \, \sqrt{3}\right)} - 3 \cdot 21^{\frac{1}{4}} {\left(13 \, \sqrt{21} \sqrt{3} - 63 \, \sqrt{3}\right)}\right)} \sqrt{3 \, \sqrt{21} + 14} + 189 \, \sqrt{21} \sqrt{3} - 819 \, \sqrt{3}\right)} - \frac{1}{120} \, \sqrt{21} \sqrt{3} {\left(9 \, x + 4\right)} - \frac{1}{840} \, \sqrt{21} {\left(\sqrt{21} \sqrt{3} {\left(3 \, x + 8\right)} + 7 \, \sqrt{3} {\left(x - 4\right)}\right)} + \frac{1}{40} \, \sqrt{3} {\left(13 \, x + 8\right)} + \frac{1}{2520} \, {\left(21^{\frac{3}{4}} {\left(\sqrt{21} \sqrt{3} {\left(x - 4\right)} + 3 \, \sqrt{3} {\left(3 \, x + 8\right)}\right)} - 3 \cdot 21^{\frac{1}{4}} {\left(\sqrt{21} \sqrt{3} {\left(13 \, x + 128\right)} - 21 \, \sqrt{3} {\left(3 \, x + 28\right)}\right)} - {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}} {\left(21^{\frac{3}{4}} {\left(\sqrt{21} \sqrt{3} + 9 \, \sqrt{3}\right)} - 3 \cdot 21^{\frac{1}{4}} {\left(13 \, \sqrt{21} \sqrt{3} - 63 \, \sqrt{3}\right)}\right)}\right)} \sqrt{3 \, \sqrt{21} + 14} + \frac{1}{840} \, {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}} {\left(\sqrt{21} {\left(3 \, \sqrt{21} \sqrt{3} + 7 \, \sqrt{3}\right)} + 63 \, \sqrt{21} \sqrt{3} - 273 \, \sqrt{3}\right)}\right) + \frac{4}{9} \, \sqrt{3} \arctan\left(-\frac{1}{3} \, \sqrt{3} {\left(x - 1\right)} + \frac{1}{3} \, \sqrt{3} {\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}}\right)"," ",0,"-1/126*21^(1/4)*sqrt(3*sqrt(21) + 14)*(2*sqrt(21) - 9)*log(7056*x^2 + 1008*(21^(1/4)*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8)*(3*sqrt(21) - 14) - 21^(1/4)*(sqrt(21)*(3*x + 1) - 14*x - 7))*sqrt(3*sqrt(21) + 14) - 7056*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8)*(2*x + 1) + 7056*x + 7056*sqrt(21) + 7056*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/4) + 7056) + 1/126*21^(1/4)*sqrt(3*sqrt(21) + 14)*(2*sqrt(21) - 9)*log(7056*x^2 - 1008*(21^(1/4)*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8)*(3*sqrt(21) - 14) - 21^(1/4)*(sqrt(21)*(3*x + 1) - 14*x - 7))*sqrt(3*sqrt(21) + 14) - 7056*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8)*(2*x + 1) + 7056*x + 7056*sqrt(21) + 7056*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/4) + 7056) + 2/63*21^(1/4)*sqrt(3)*sqrt(3*sqrt(21) + 14)*arctan(1/17640*sqrt(7)*sqrt(7*x^2 - (21^(1/4)*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8)*(3*sqrt(21) - 14) - 21^(1/4)*(sqrt(21)*(3*x + 1) - 14*x - 7))*sqrt(3*sqrt(21) + 14) - 7*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8)*(2*x + 1) + 7*x + 7*sqrt(21) + 7*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/4) + 7)*(3*sqrt(21)*(3*sqrt(21)*sqrt(3) + 7*sqrt(3)) + (21^(3/4)*(sqrt(21)*sqrt(3) + 9*sqrt(3)) - 3*21^(1/4)*(13*sqrt(21)*sqrt(3) - 63*sqrt(3)))*sqrt(3*sqrt(21) + 14) + 189*sqrt(21)*sqrt(3) - 819*sqrt(3)) + 1/120*sqrt(21)*sqrt(3)*(9*x + 4) + 1/840*sqrt(21)*(sqrt(21)*sqrt(3)*(3*x + 8) + 7*sqrt(3)*(x - 4)) - 1/40*sqrt(3)*(13*x + 8) + 1/2520*(21^(3/4)*(sqrt(21)*sqrt(3)*(x - 4) + 3*sqrt(3)*(3*x + 8)) - 3*21^(1/4)*(sqrt(21)*sqrt(3)*(13*x + 128) - 21*sqrt(3)*(3*x + 28)) - (x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8)*(21^(3/4)*(sqrt(21)*sqrt(3) + 9*sqrt(3)) - 3*21^(1/4)*(13*sqrt(21)*sqrt(3) - 63*sqrt(3))))*sqrt(3*sqrt(21) + 14) - 1/840*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8)*(sqrt(21)*(3*sqrt(21)*sqrt(3) + 7*sqrt(3)) + 63*sqrt(21)*sqrt(3) - 273*sqrt(3))) + 2/63*21^(1/4)*sqrt(3)*sqrt(3*sqrt(21) + 14)*arctan(-1/17640*sqrt(7)*sqrt(7*x^2 + (21^(1/4)*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8)*(3*sqrt(21) - 14) - 21^(1/4)*(sqrt(21)*(3*x + 1) - 14*x - 7))*sqrt(3*sqrt(21) + 14) - 7*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8)*(2*x + 1) + 7*x + 7*sqrt(21) + 7*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/4) + 7)*(3*sqrt(21)*(3*sqrt(21)*sqrt(3) + 7*sqrt(3)) - (21^(3/4)*(sqrt(21)*sqrt(3) + 9*sqrt(3)) - 3*21^(1/4)*(13*sqrt(21)*sqrt(3) - 63*sqrt(3)))*sqrt(3*sqrt(21) + 14) + 189*sqrt(21)*sqrt(3) - 819*sqrt(3)) - 1/120*sqrt(21)*sqrt(3)*(9*x + 4) - 1/840*sqrt(21)*(sqrt(21)*sqrt(3)*(3*x + 8) + 7*sqrt(3)*(x - 4)) + 1/40*sqrt(3)*(13*x + 8) + 1/2520*(21^(3/4)*(sqrt(21)*sqrt(3)*(x - 4) + 3*sqrt(3)*(3*x + 8)) - 3*21^(1/4)*(sqrt(21)*sqrt(3)*(13*x + 128) - 21*sqrt(3)*(3*x + 28)) - (x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8)*(21^(3/4)*(sqrt(21)*sqrt(3) + 9*sqrt(3)) - 3*21^(1/4)*(13*sqrt(21)*sqrt(3) - 63*sqrt(3))))*sqrt(3*sqrt(21) + 14) + 1/840*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8)*(sqrt(21)*(3*sqrt(21)*sqrt(3) + 7*sqrt(3)) + 63*sqrt(21)*sqrt(3) - 273*sqrt(3))) + 4/9*sqrt(3)*arctan(-1/3*sqrt(3)*(x - 1) + 1/3*sqrt(3)*(x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8))","B",0
2311,1,2058,0,0.647408," ","integrate(1/x^2/(x^8-5*x^7+7*x^6+2*x^5-10*x^4+2*x^3+5*x^2-x-1)^(1/3),x, algorithm=""fricas"")","-\frac{12 \cdot 50^{\frac{2}{3}} \sqrt{3} {\left(x^{6} - 3 \, x^{5} + x^{4} + 3 \, x^{3} - x^{2} - x\right)} {\left(7 \, \sqrt{5} - 15\right)}^{\frac{1}{3}} \arctan\left(\frac{50^{\frac{2}{3}} {\left(\sqrt{5} \sqrt{3} {\left(x^{3} - 2 \, x^{2} + 1\right)} + 5 \, \sqrt{3} {\left(x^{3} - 2 \, x^{2} + 1\right)}\right)} {\left(7 \, \sqrt{5} - 15\right)}^{\frac{1}{3}} \sqrt{\frac{10 \cdot 50^{\frac{1}{3}} {\left(x^{8} - 5 \, x^{7} + 7 \, x^{6} + 2 \, x^{5} - 10 \, x^{4} + 2 \, x^{3} + 5 \, x^{2} - x - 1\right)}^{\frac{1}{3}} {\left(2 \, x^{3} - 4 \, x^{2} + \sqrt{5} {\left(x^{3} - 2 \, x^{2} + 1\right)} + 2\right)} {\left(7 \, \sqrt{5} - 15\right)}^{\frac{2}{3}} + 50^{\frac{2}{3}} {\left(5 \, x^{6} - 20 \, x^{5} + 20 \, x^{4} + 10 \, x^{3} - 20 \, x^{2} + 3 \, \sqrt{5} {\left(x^{6} - 4 \, x^{5} + 4 \, x^{4} + 2 \, x^{3} - 4 \, x^{2} + 1\right)} + 5\right)} {\left(7 \, \sqrt{5} - 15\right)}^{\frac{1}{3}} + 100 \, {\left(x^{8} - 5 \, x^{7} + 7 \, x^{6} + 2 \, x^{5} - 10 \, x^{4} + 2 \, x^{3} + 5 \, x^{2} - x - 1\right)}^{\frac{2}{3}}}{x^{6} - 4 \, x^{5} + 4 \, x^{4} + 2 \, x^{3} - 4 \, x^{2} + 1}} - 10 \cdot 50^{\frac{2}{3}} {\left(x^{8} - 5 \, x^{7} + 7 \, x^{6} + 2 \, x^{5} - 10 \, x^{4} + 2 \, x^{3} + 5 \, x^{2} - x - 1\right)}^{\frac{1}{3}} {\left(\sqrt{5} \sqrt{3} + 5 \, \sqrt{3}\right)} {\left(7 \, \sqrt{5} - 15\right)}^{\frac{1}{3}} - 500 \, \sqrt{3} {\left(x^{3} - 2 \, x^{2} + 1\right)}}{1500 \, {\left(x^{3} - 2 \, x^{2} + 1\right)}}\right) - 12 \cdot 50^{\frac{2}{3}} \sqrt{3} {\left(x^{6} - 3 \, x^{5} + x^{4} + 3 \, x^{3} - x^{2} - x\right)} {\left(-7 \, \sqrt{5} - 15\right)}^{\frac{1}{3}} \arctan\left(\frac{50^{\frac{2}{3}} {\left(\sqrt{5} \sqrt{3} {\left(x^{3} - 2 \, x^{2} + 1\right)} - 5 \, \sqrt{3} {\left(x^{3} - 2 \, x^{2} + 1\right)}\right)} {\left(-7 \, \sqrt{5} - 15\right)}^{\frac{1}{3}} \sqrt{\frac{10 \cdot 50^{\frac{1}{3}} {\left(x^{8} - 5 \, x^{7} + 7 \, x^{6} + 2 \, x^{5} - 10 \, x^{4} + 2 \, x^{3} + 5 \, x^{2} - x - 1\right)}^{\frac{1}{3}} {\left(2 \, x^{3} - 4 \, x^{2} - \sqrt{5} {\left(x^{3} - 2 \, x^{2} + 1\right)} + 2\right)} {\left(-7 \, \sqrt{5} - 15\right)}^{\frac{2}{3}} + 50^{\frac{2}{3}} {\left(5 \, x^{6} - 20 \, x^{5} + 20 \, x^{4} + 10 \, x^{3} - 20 \, x^{2} - 3 \, \sqrt{5} {\left(x^{6} - 4 \, x^{5} + 4 \, x^{4} + 2 \, x^{3} - 4 \, x^{2} + 1\right)} + 5\right)} {\left(-7 \, \sqrt{5} - 15\right)}^{\frac{1}{3}} + 100 \, {\left(x^{8} - 5 \, x^{7} + 7 \, x^{6} + 2 \, x^{5} - 10 \, x^{4} + 2 \, x^{3} + 5 \, x^{2} - x - 1\right)}^{\frac{2}{3}}}{x^{6} - 4 \, x^{5} + 4 \, x^{4} + 2 \, x^{3} - 4 \, x^{2} + 1}} - 10 \cdot 50^{\frac{2}{3}} {\left(x^{8} - 5 \, x^{7} + 7 \, x^{6} + 2 \, x^{5} - 10 \, x^{4} + 2 \, x^{3} + 5 \, x^{2} - x - 1\right)}^{\frac{1}{3}} {\left(\sqrt{5} \sqrt{3} - 5 \, \sqrt{3}\right)} {\left(-7 \, \sqrt{5} - 15\right)}^{\frac{1}{3}} + 500 \, \sqrt{3} {\left(x^{3} - 2 \, x^{2} + 1\right)}}{1500 \, {\left(x^{3} - 2 \, x^{2} + 1\right)}}\right) + 3 \cdot 50^{\frac{2}{3}} {\left(x^{6} - 3 \, x^{5} + x^{4} + 3 \, x^{3} - x^{2} - x\right)} {\left(7 \, \sqrt{5} - 15\right)}^{\frac{1}{3}} \log\left(\frac{4 \, {\left(10 \cdot 50^{\frac{1}{3}} {\left(x^{8} - 5 \, x^{7} + 7 \, x^{6} + 2 \, x^{5} - 10 \, x^{4} + 2 \, x^{3} + 5 \, x^{2} - x - 1\right)}^{\frac{1}{3}} {\left(2 \, x^{3} - 4 \, x^{2} + \sqrt{5} {\left(x^{3} - 2 \, x^{2} + 1\right)} + 2\right)} {\left(7 \, \sqrt{5} - 15\right)}^{\frac{2}{3}} + 50^{\frac{2}{3}} {\left(5 \, x^{6} - 20 \, x^{5} + 20 \, x^{4} + 10 \, x^{3} - 20 \, x^{2} + 3 \, \sqrt{5} {\left(x^{6} - 4 \, x^{5} + 4 \, x^{4} + 2 \, x^{3} - 4 \, x^{2} + 1\right)} + 5\right)} {\left(7 \, \sqrt{5} - 15\right)}^{\frac{1}{3}} + 100 \, {\left(x^{8} - 5 \, x^{7} + 7 \, x^{6} + 2 \, x^{5} - 10 \, x^{4} + 2 \, x^{3} + 5 \, x^{2} - x - 1\right)}^{\frac{2}{3}}\right)}}{x^{6} - 4 \, x^{5} + 4 \, x^{4} + 2 \, x^{3} - 4 \, x^{2} + 1}\right) + 3 \cdot 50^{\frac{2}{3}} {\left(x^{6} - 3 \, x^{5} + x^{4} + 3 \, x^{3} - x^{2} - x\right)} {\left(-7 \, \sqrt{5} - 15\right)}^{\frac{1}{3}} \log\left(\frac{4 \, {\left(10 \cdot 50^{\frac{1}{3}} {\left(x^{8} - 5 \, x^{7} + 7 \, x^{6} + 2 \, x^{5} - 10 \, x^{4} + 2 \, x^{3} + 5 \, x^{2} - x - 1\right)}^{\frac{1}{3}} {\left(2 \, x^{3} - 4 \, x^{2} - \sqrt{5} {\left(x^{3} - 2 \, x^{2} + 1\right)} + 2\right)} {\left(-7 \, \sqrt{5} - 15\right)}^{\frac{2}{3}} + 50^{\frac{2}{3}} {\left(5 \, x^{6} - 20 \, x^{5} + 20 \, x^{4} + 10 \, x^{3} - 20 \, x^{2} - 3 \, \sqrt{5} {\left(x^{6} - 4 \, x^{5} + 4 \, x^{4} + 2 \, x^{3} - 4 \, x^{2} + 1\right)} + 5\right)} {\left(-7 \, \sqrt{5} - 15\right)}^{\frac{1}{3}} + 100 \, {\left(x^{8} - 5 \, x^{7} + 7 \, x^{6} + 2 \, x^{5} - 10 \, x^{4} + 2 \, x^{3} + 5 \, x^{2} - x - 1\right)}^{\frac{2}{3}}\right)}}{x^{6} - 4 \, x^{5} + 4 \, x^{4} + 2 \, x^{3} - 4 \, x^{2} + 1}\right) - 6 \cdot 50^{\frac{2}{3}} {\left(x^{6} - 3 \, x^{5} + x^{4} + 3 \, x^{3} - x^{2} - x\right)} {\left(7 \, \sqrt{5} - 15\right)}^{\frac{1}{3}} \log\left(-\frac{50^{\frac{1}{3}} {\left(2 \, x^{3} - 4 \, x^{2} + \sqrt{5} {\left(x^{3} - 2 \, x^{2} + 1\right)} + 2\right)} {\left(7 \, \sqrt{5} - 15\right)}^{\frac{2}{3}} - 10 \, {\left(x^{8} - 5 \, x^{7} + 7 \, x^{6} + 2 \, x^{5} - 10 \, x^{4} + 2 \, x^{3} + 5 \, x^{2} - x - 1\right)}^{\frac{1}{3}}}{x^{3} - 2 \, x^{2} + 1}\right) - 6 \cdot 50^{\frac{2}{3}} {\left(x^{6} - 3 \, x^{5} + x^{4} + 3 \, x^{3} - x^{2} - x\right)} {\left(-7 \, \sqrt{5} - 15\right)}^{\frac{1}{3}} \log\left(-\frac{50^{\frac{1}{3}} {\left(2 \, x^{3} - 4 \, x^{2} - \sqrt{5} {\left(x^{3} - 2 \, x^{2} + 1\right)} + 2\right)} {\left(-7 \, \sqrt{5} - 15\right)}^{\frac{2}{3}} - 10 \, {\left(x^{8} - 5 \, x^{7} + 7 \, x^{6} + 2 \, x^{5} - 10 \, x^{4} + 2 \, x^{3} + 5 \, x^{2} - x - 1\right)}^{\frac{1}{3}}}{x^{3} - 2 \, x^{2} + 1}\right) + 100 \, \sqrt{3} {\left(x^{6} - 3 \, x^{5} + x^{4} + 3 \, x^{3} - x^{2} - x\right)} \arctan\left(-\frac{\sqrt{3} {\left(x^{3} - 2 \, x^{2} + 1\right)} - 2 \, \sqrt{3} {\left(x^{8} - 5 \, x^{7} + 7 \, x^{6} + 2 \, x^{5} - 10 \, x^{4} + 2 \, x^{3} + 5 \, x^{2} - x - 1\right)}^{\frac{1}{3}}}{3 \, {\left(x^{3} - 2 \, x^{2} + 1\right)}}\right) + 50 \, {\left(x^{6} - 3 \, x^{5} + x^{4} + 3 \, x^{3} - x^{2} - x\right)} \log\left(\frac{x^{6} - 4 \, x^{5} + 4 \, x^{4} + 2 \, x^{3} - 4 \, x^{2} - {\left(x^{8} - 5 \, x^{7} + 7 \, x^{6} + 2 \, x^{5} - 10 \, x^{4} + 2 \, x^{3} + 5 \, x^{2} - x - 1\right)}^{\frac{1}{3}} {\left(x^{3} - 2 \, x^{2} + 1\right)} + {\left(x^{8} - 5 \, x^{7} + 7 \, x^{6} + 2 \, x^{5} - 10 \, x^{4} + 2 \, x^{3} + 5 \, x^{2} - x - 1\right)}^{\frac{2}{3}} + 1}{x^{6} - 4 \, x^{5} + 4 \, x^{4} + 2 \, x^{3} - 4 \, x^{2} + 1}\right) - 100 \, {\left(x^{6} - 3 \, x^{5} + x^{4} + 3 \, x^{3} - x^{2} - x\right)} \log\left(\frac{x^{3} - 2 \, x^{2} + {\left(x^{8} - 5 \, x^{7} + 7 \, x^{6} + 2 \, x^{5} - 10 \, x^{4} + 2 \, x^{3} + 5 \, x^{2} - x - 1\right)}^{\frac{1}{3}} + 1}{x^{3} - 2 \, x^{2} + 1}\right) + 300 \, {\left(x^{8} - 5 \, x^{7} + 7 \, x^{6} + 2 \, x^{5} - 10 \, x^{4} + 2 \, x^{3} + 5 \, x^{2} - x - 1\right)}^{\frac{2}{3}}}{300 \, {\left(x^{6} - 3 \, x^{5} + x^{4} + 3 \, x^{3} - x^{2} - x\right)}}"," ",0,"-1/300*(12*50^(2/3)*sqrt(3)*(x^6 - 3*x^5 + x^4 + 3*x^3 - x^2 - x)*(7*sqrt(5) - 15)^(1/3)*arctan(1/1500*(50^(2/3)*(sqrt(5)*sqrt(3)*(x^3 - 2*x^2 + 1) + 5*sqrt(3)*(x^3 - 2*x^2 + 1))*(7*sqrt(5) - 15)^(1/3)*sqrt((10*50^(1/3)*(x^8 - 5*x^7 + 7*x^6 + 2*x^5 - 10*x^4 + 2*x^3 + 5*x^2 - x - 1)^(1/3)*(2*x^3 - 4*x^2 + sqrt(5)*(x^3 - 2*x^2 + 1) + 2)*(7*sqrt(5) - 15)^(2/3) + 50^(2/3)*(5*x^6 - 20*x^5 + 20*x^4 + 10*x^3 - 20*x^2 + 3*sqrt(5)*(x^6 - 4*x^5 + 4*x^4 + 2*x^3 - 4*x^2 + 1) + 5)*(7*sqrt(5) - 15)^(1/3) + 100*(x^8 - 5*x^7 + 7*x^6 + 2*x^5 - 10*x^4 + 2*x^3 + 5*x^2 - x - 1)^(2/3))/(x^6 - 4*x^5 + 4*x^4 + 2*x^3 - 4*x^2 + 1)) - 10*50^(2/3)*(x^8 - 5*x^7 + 7*x^6 + 2*x^5 - 10*x^4 + 2*x^3 + 5*x^2 - x - 1)^(1/3)*(sqrt(5)*sqrt(3) + 5*sqrt(3))*(7*sqrt(5) - 15)^(1/3) - 500*sqrt(3)*(x^3 - 2*x^2 + 1))/(x^3 - 2*x^2 + 1)) - 12*50^(2/3)*sqrt(3)*(x^6 - 3*x^5 + x^4 + 3*x^3 - x^2 - x)*(-7*sqrt(5) - 15)^(1/3)*arctan(1/1500*(50^(2/3)*(sqrt(5)*sqrt(3)*(x^3 - 2*x^2 + 1) - 5*sqrt(3)*(x^3 - 2*x^2 + 1))*(-7*sqrt(5) - 15)^(1/3)*sqrt((10*50^(1/3)*(x^8 - 5*x^7 + 7*x^6 + 2*x^5 - 10*x^4 + 2*x^3 + 5*x^2 - x - 1)^(1/3)*(2*x^3 - 4*x^2 - sqrt(5)*(x^3 - 2*x^2 + 1) + 2)*(-7*sqrt(5) - 15)^(2/3) + 50^(2/3)*(5*x^6 - 20*x^5 + 20*x^4 + 10*x^3 - 20*x^2 - 3*sqrt(5)*(x^6 - 4*x^5 + 4*x^4 + 2*x^3 - 4*x^2 + 1) + 5)*(-7*sqrt(5) - 15)^(1/3) + 100*(x^8 - 5*x^7 + 7*x^6 + 2*x^5 - 10*x^4 + 2*x^3 + 5*x^2 - x - 1)^(2/3))/(x^6 - 4*x^5 + 4*x^4 + 2*x^3 - 4*x^2 + 1)) - 10*50^(2/3)*(x^8 - 5*x^7 + 7*x^6 + 2*x^5 - 10*x^4 + 2*x^3 + 5*x^2 - x - 1)^(1/3)*(sqrt(5)*sqrt(3) - 5*sqrt(3))*(-7*sqrt(5) - 15)^(1/3) + 500*sqrt(3)*(x^3 - 2*x^2 + 1))/(x^3 - 2*x^2 + 1)) + 3*50^(2/3)*(x^6 - 3*x^5 + x^4 + 3*x^3 - x^2 - x)*(7*sqrt(5) - 15)^(1/3)*log(4*(10*50^(1/3)*(x^8 - 5*x^7 + 7*x^6 + 2*x^5 - 10*x^4 + 2*x^3 + 5*x^2 - x - 1)^(1/3)*(2*x^3 - 4*x^2 + sqrt(5)*(x^3 - 2*x^2 + 1) + 2)*(7*sqrt(5) - 15)^(2/3) + 50^(2/3)*(5*x^6 - 20*x^5 + 20*x^4 + 10*x^3 - 20*x^2 + 3*sqrt(5)*(x^6 - 4*x^5 + 4*x^4 + 2*x^3 - 4*x^2 + 1) + 5)*(7*sqrt(5) - 15)^(1/3) + 100*(x^8 - 5*x^7 + 7*x^6 + 2*x^5 - 10*x^4 + 2*x^3 + 5*x^2 - x - 1)^(2/3))/(x^6 - 4*x^5 + 4*x^4 + 2*x^3 - 4*x^2 + 1)) + 3*50^(2/3)*(x^6 - 3*x^5 + x^4 + 3*x^3 - x^2 - x)*(-7*sqrt(5) - 15)^(1/3)*log(4*(10*50^(1/3)*(x^8 - 5*x^7 + 7*x^6 + 2*x^5 - 10*x^4 + 2*x^3 + 5*x^2 - x - 1)^(1/3)*(2*x^3 - 4*x^2 - sqrt(5)*(x^3 - 2*x^2 + 1) + 2)*(-7*sqrt(5) - 15)^(2/3) + 50^(2/3)*(5*x^6 - 20*x^5 + 20*x^4 + 10*x^3 - 20*x^2 - 3*sqrt(5)*(x^6 - 4*x^5 + 4*x^4 + 2*x^3 - 4*x^2 + 1) + 5)*(-7*sqrt(5) - 15)^(1/3) + 100*(x^8 - 5*x^7 + 7*x^6 + 2*x^5 - 10*x^4 + 2*x^3 + 5*x^2 - x - 1)^(2/3))/(x^6 - 4*x^5 + 4*x^4 + 2*x^3 - 4*x^2 + 1)) - 6*50^(2/3)*(x^6 - 3*x^5 + x^4 + 3*x^3 - x^2 - x)*(7*sqrt(5) - 15)^(1/3)*log(-(50^(1/3)*(2*x^3 - 4*x^2 + sqrt(5)*(x^3 - 2*x^2 + 1) + 2)*(7*sqrt(5) - 15)^(2/3) - 10*(x^8 - 5*x^7 + 7*x^6 + 2*x^5 - 10*x^4 + 2*x^3 + 5*x^2 - x - 1)^(1/3))/(x^3 - 2*x^2 + 1)) - 6*50^(2/3)*(x^6 - 3*x^5 + x^4 + 3*x^3 - x^2 - x)*(-7*sqrt(5) - 15)^(1/3)*log(-(50^(1/3)*(2*x^3 - 4*x^2 - sqrt(5)*(x^3 - 2*x^2 + 1) + 2)*(-7*sqrt(5) - 15)^(2/3) - 10*(x^8 - 5*x^7 + 7*x^6 + 2*x^5 - 10*x^4 + 2*x^3 + 5*x^2 - x - 1)^(1/3))/(x^3 - 2*x^2 + 1)) + 100*sqrt(3)*(x^6 - 3*x^5 + x^4 + 3*x^3 - x^2 - x)*arctan(-1/3*(sqrt(3)*(x^3 - 2*x^2 + 1) - 2*sqrt(3)*(x^8 - 5*x^7 + 7*x^6 + 2*x^5 - 10*x^4 + 2*x^3 + 5*x^2 - x - 1)^(1/3))/(x^3 - 2*x^2 + 1)) + 50*(x^6 - 3*x^5 + x^4 + 3*x^3 - x^2 - x)*log((x^6 - 4*x^5 + 4*x^4 + 2*x^3 - 4*x^2 - (x^8 - 5*x^7 + 7*x^6 + 2*x^5 - 10*x^4 + 2*x^3 + 5*x^2 - x - 1)^(1/3)*(x^3 - 2*x^2 + 1) + (x^8 - 5*x^7 + 7*x^6 + 2*x^5 - 10*x^4 + 2*x^3 + 5*x^2 - x - 1)^(2/3) + 1)/(x^6 - 4*x^5 + 4*x^4 + 2*x^3 - 4*x^2 + 1)) - 100*(x^6 - 3*x^5 + x^4 + 3*x^3 - x^2 - x)*log((x^3 - 2*x^2 + (x^8 - 5*x^7 + 7*x^6 + 2*x^5 - 10*x^4 + 2*x^3 + 5*x^2 - x - 1)^(1/3) + 1)/(x^3 - 2*x^2 + 1)) + 300*(x^8 - 5*x^7 + 7*x^6 + 2*x^5 - 10*x^4 + 2*x^3 + 5*x^2 - x - 1)^(2/3))/(x^6 - 3*x^5 + x^4 + 3*x^3 - x^2 - x)","B",0
2312,-1,0,0,0.000000," ","integrate(c*x^6*(a*x^5-4*b)/(a*x^5+b)^(3/4)/(a^2*x^10-c^2*x^8+2*a*b*x^5+b^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2313,-1,0,0,0.000000," ","integrate(x^2*(a*x+(a*x-b)^(1/2))^(1/2)/(a*x-b)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2314,1,356,0,1.703422," ","integrate((a*k^4*x^4+b*x^2+a)/((1-x)*x*(-k^2*x+1))^(1/2)/(k^4*x^4-1),x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, a k^{4} - {\left(2 \, a + b\right)} k^{2} + b\right)} \sqrt{k^{2} + 1} \arctan\left(\frac{\sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 2 \, {\left(k^{2} + 1\right)} x + 1\right)} \sqrt{k^{2} + 1}}{2 \, {\left({\left(k^{4} + k^{2}\right)} x^{3} - {\left(k^{4} + 2 \, k^{2} + 1\right)} x^{2} + {\left(k^{2} + 1\right)} x\right)}}\right) + {\left(2 \, a k^{5} - 2 \, a k^{4} + {\left(2 \, a + b\right)} k^{3} - {\left(2 \, a + b\right)} k^{2} + b k - b\right)} \arctan\left(\frac{\sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 2 \, {\left(k^{2} + k + 1\right)} x + 1\right)}}{2 \, {\left({\left(k^{3} + k^{2}\right)} x^{3} - {\left(k^{3} + k^{2} + k + 1\right)} x^{2} + {\left(k + 1\right)} x\right)}}\right) + {\left(2 \, a k^{5} + 2 \, a k^{4} + {\left(2 \, a + b\right)} k^{3} + {\left(2 \, a + b\right)} k^{2} + b k + b\right)} \arctan\left(\frac{\sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 2 \, {\left(k^{2} - k + 1\right)} x + 1\right)}}{2 \, {\left({\left(k^{3} - k^{2}\right)} x^{3} - {\left(k^{3} - k^{2} + k - 1\right)} x^{2} + {\left(k - 1\right)} x\right)}}\right)}{8 \, {\left(k^{6} - k^{2}\right)}}"," ",0,"1/8*(2*(2*a*k^4 - (2*a + b)*k^2 + b)*sqrt(k^2 + 1)*arctan(1/2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 2*(k^2 + 1)*x + 1)*sqrt(k^2 + 1)/((k^4 + k^2)*x^3 - (k^4 + 2*k^2 + 1)*x^2 + (k^2 + 1)*x)) + (2*a*k^5 - 2*a*k^4 + (2*a + b)*k^3 - (2*a + b)*k^2 + b*k - b)*arctan(1/2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 2*(k^2 + k + 1)*x + 1)/((k^3 + k^2)*x^3 - (k^3 + k^2 + k + 1)*x^2 + (k + 1)*x)) + (2*a*k^5 + 2*a*k^4 + (2*a + b)*k^3 + (2*a + b)*k^2 + b*k + b)*arctan(1/2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 2*(k^2 - k + 1)*x + 1)/((k^3 - k^2)*x^3 - (k^3 - k^2 + k - 1)*x^2 + (k - 1)*x)))/(k^6 - k^2)","B",0
2315,-1,0,0,0.000000," ","integrate((p*x^3-2*q)*(p^2*x^6-2*p*q*x^4+2*p*q*x^3+q^2)^(1/2)*(a*p^2*x^6+2*a*p*q*x^3+b*x^4+a*q^2)/x^9,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2316,1,1508,0,3.354355," ","integrate((x^3-1)/(x^3+1)/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{2 \, a - 2 \, b + c} {\left(a - b - c\right)} \log\left(\frac{{\left(24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a + 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{2 \, a - 2 \, b + c} + 24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right) - 2 \, {\left(2 \, a - 2 \, b + c\right)} \sqrt{-a + b + c} \log\left(\frac{{\left(8 \, a b + b^{2} + 4 \, a c\right)} x^{4} - 2 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 4 \, {\left(a + b\right)} c\right)} x^{3} + {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(5 \, a - 2 \, b\right)} c + 8 \, c^{2}\right)} x^{2} - 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(2 \, a + b\right)} x^{2} - {\left(4 \, a - b - 2 \, c\right)} x + 2 \, a + b\right)} \sqrt{-a + b + c} + 8 \, a b + b^{2} + 4 \, a c - 2 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 4 \, {\left(a + b\right)} c\right)} x}{x^{4} - 2 \, x^{3} + 3 \, x^{2} - 2 \, x + 1}\right)}{6 \, {\left(2 \, a^{2} - 4 \, a b + 2 \, b^{2} - {\left(a - b\right)} c - c^{2}\right)}}, -\frac{4 \, {\left(2 \, a - 2 \, b + c\right)} \sqrt{a - b - c} \arctan\left(\frac{2 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} \sqrt{a - b - c}}{{\left(2 \, a + b\right)} x^{2} - {\left(4 \, a - b - 2 \, c\right)} x + 2 \, a + b}\right) - \sqrt{2 \, a - 2 \, b + c} {\left(a - b - c\right)} \log\left(\frac{{\left(24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a + 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{2 \, a - 2 \, b + c} + 24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right)}{6 \, {\left(2 \, a^{2} - 4 \, a b + 2 \, b^{2} - {\left(a - b\right)} c - c^{2}\right)}}, \frac{{\left(a - b - c\right)} \sqrt{-2 \, a + 2 \, b - c} \arctan\left(-\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{-2 \, a + 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} - 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a - b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} - 2 \, a b + a c + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x\right)}}\right) - {\left(2 \, a - 2 \, b + c\right)} \sqrt{-a + b + c} \log\left(\frac{{\left(8 \, a b + b^{2} + 4 \, a c\right)} x^{4} - 2 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 4 \, {\left(a + b\right)} c\right)} x^{3} + {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(5 \, a - 2 \, b\right)} c + 8 \, c^{2}\right)} x^{2} - 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(2 \, a + b\right)} x^{2} - {\left(4 \, a - b - 2 \, c\right)} x + 2 \, a + b\right)} \sqrt{-a + b + c} + 8 \, a b + b^{2} + 4 \, a c - 2 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 4 \, {\left(a + b\right)} c\right)} x}{x^{4} - 2 \, x^{3} + 3 \, x^{2} - 2 \, x + 1}\right)}{3 \, {\left(2 \, a^{2} - 4 \, a b + 2 \, b^{2} - {\left(a - b\right)} c - c^{2}\right)}}, \frac{{\left(a - b - c\right)} \sqrt{-2 \, a + 2 \, b - c} \arctan\left(-\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{-2 \, a + 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} - 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a - b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} - 2 \, a b + a c + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x\right)}}\right) - 2 \, {\left(2 \, a - 2 \, b + c\right)} \sqrt{a - b - c} \arctan\left(\frac{2 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} \sqrt{a - b - c}}{{\left(2 \, a + b\right)} x^{2} - {\left(4 \, a - b - 2 \, c\right)} x + 2 \, a + b}\right)}{3 \, {\left(2 \, a^{2} - 4 \, a b + 2 \, b^{2} - {\left(a - b\right)} c - c^{2}\right)}}\right]"," ",0,"[1/6*(sqrt(2*a - 2*b + c)*(a - b - c)*log(((24*a^2 - 16*a*b + b^2 + 4*a*c)*x^4 + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a + 2*b)*c + 4*c^2)*x^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(2*a - 2*b + c) + 24*a^2 - 16*a*b + b^2 + 4*a*c + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x)/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1)) - 2*(2*a - 2*b + c)*sqrt(-a + b + c)*log(((8*a*b + b^2 + 4*a*c)*x^4 - 2*(8*a^2 + 4*a*b - 3*b^2 - 4*(a + b)*c)*x^3 + (24*a^2 + 3*b^2 - 4*(5*a - 2*b)*c + 8*c^2)*x^2 - 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((2*a + b)*x^2 - (4*a - b - 2*c)*x + 2*a + b)*sqrt(-a + b + c) + 8*a*b + b^2 + 4*a*c - 2*(8*a^2 + 4*a*b - 3*b^2 - 4*(a + b)*c)*x)/(x^4 - 2*x^3 + 3*x^2 - 2*x + 1)))/(2*a^2 - 4*a*b + 2*b^2 - (a - b)*c - c^2), -1/6*(4*(2*a - 2*b + c)*sqrt(a - b - c)*arctan(2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*sqrt(a - b - c)/((2*a + b)*x^2 - (4*a - b - 2*c)*x + 2*a + b)) - sqrt(2*a - 2*b + c)*(a - b - c)*log(((24*a^2 - 16*a*b + b^2 + 4*a*c)*x^4 + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a + 2*b)*c + 4*c^2)*x^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(2*a - 2*b + c) + 24*a^2 - 16*a*b + b^2 + 4*a*c + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x)/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1)))/(2*a^2 - 4*a*b + 2*b^2 - (a - b)*c - c^2), 1/3*((a - b - c)*sqrt(-2*a + 2*b - c)*arctan(-1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(-2*a + 2*b - c)/((2*a^2 - 2*a*b + a*c)*x^4 + (2*a*b - 2*b^2 + b*c)*x^3 + (2*(a - b)*c + c^2)*x^2 + 2*a^2 - 2*a*b + a*c + (2*a*b - 2*b^2 + b*c)*x)) - (2*a - 2*b + c)*sqrt(-a + b + c)*log(((8*a*b + b^2 + 4*a*c)*x^4 - 2*(8*a^2 + 4*a*b - 3*b^2 - 4*(a + b)*c)*x^3 + (24*a^2 + 3*b^2 - 4*(5*a - 2*b)*c + 8*c^2)*x^2 - 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((2*a + b)*x^2 - (4*a - b - 2*c)*x + 2*a + b)*sqrt(-a + b + c) + 8*a*b + b^2 + 4*a*c - 2*(8*a^2 + 4*a*b - 3*b^2 - 4*(a + b)*c)*x)/(x^4 - 2*x^3 + 3*x^2 - 2*x + 1)))/(2*a^2 - 4*a*b + 2*b^2 - (a - b)*c - c^2), 1/3*((a - b - c)*sqrt(-2*a + 2*b - c)*arctan(-1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(-2*a + 2*b - c)/((2*a^2 - 2*a*b + a*c)*x^4 + (2*a*b - 2*b^2 + b*c)*x^3 + (2*(a - b)*c + c^2)*x^2 + 2*a^2 - 2*a*b + a*c + (2*a*b - 2*b^2 + b*c)*x)) - 2*(2*a - 2*b + c)*sqrt(a - b - c)*arctan(2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*sqrt(a - b - c)/((2*a + b)*x^2 - (4*a - b - 2*c)*x + 2*a + b)))/(2*a^2 - 4*a*b + 2*b^2 - (a - b)*c - c^2)]","A",0
2317,-1,0,0,0.000000," ","integrate((5*x-4*(1+k)*x^2+3*k*x^3)/((1-x)*x*(-k*x+1))^(1/3)/(-1+(1+k)*x-k*x^2+b*x^5),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2318,-1,0,0,0.000000," ","integrate(x^2*(8-7*(1+k)*x+6*k*x^2)/((1-x)*x*(-k*x+1))^(1/3)/(-1+(1+k)*x-k*x^2+b*x^8),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2319,-1,0,0,0.000000," ","integrate(x*(-a*b+x^2)/(x^2*(-a+x)*(-b+x))^(2/3)/(a*b-(a+b+d)*x+x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2320,1,158,0,0.657149," ","integrate((x^3+b)*(x^3+c)/(x^3+a)^(1/3),x, algorithm=""fricas"")","-\frac{1}{27} \, \sqrt{3} {\left(2 \, a^{2} - 3 \, a b - 3 \, {\left(a - 3 \, b\right)} c\right)} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + a\right)}^{\frac{1}{3}}}{3 \, x}\right) - \frac{1}{27} \, {\left(2 \, a^{2} - 3 \, a b - 3 \, {\left(a - 3 \, b\right)} c\right)} \log\left(-\frac{x - {\left(x^{3} + a\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{54} \, {\left(2 \, a^{2} - 3 \, a b - 3 \, {\left(a - 3 \, b\right)} c\right)} \log\left(\frac{x^{2} + {\left(x^{3} + a\right)}^{\frac{1}{3}} x + {\left(x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}}\right) + \frac{1}{18} \, {\left(3 \, x^{4} - 2 \, {\left(2 \, a - 3 \, b - 3 \, c\right)} x\right)} {\left(x^{3} + a\right)}^{\frac{2}{3}}"," ",0,"-1/27*sqrt(3)*(2*a^2 - 3*a*b - 3*(a - 3*b)*c)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + a)^(1/3))/x) - 1/27*(2*a^2 - 3*a*b - 3*(a - 3*b)*c)*log(-(x - (x^3 + a)^(1/3))/x) + 1/54*(2*a^2 - 3*a*b - 3*(a - 3*b)*c)*log((x^2 + (x^3 + a)^(1/3)*x + (x^3 + a)^(2/3))/x^2) + 1/18*(3*x^4 - 2*(2*a - 3*b - 3*c)*x)*(x^3 + a)^(2/3)","A",0
2321,1,851,0,0.668154," ","integrate(1/(x^3+1)/(x^3-x^2)^(1/3),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{6} 2^{\frac{1}{6}} \left(-1\right)^{\frac{1}{3}} \arctan\left(-\frac{2^{\frac{1}{6}} {\left(\sqrt{6} 2^{\frac{1}{3}} x - 2 \, \sqrt{6} \left(-1\right)^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\right)}}{6 \, x}\right) - \frac{2}{3} \, {\left(\sqrt{3} \cos\left(\frac{2}{9} \, \pi\right) - \sin\left(\frac{2}{9} \, \pi\right)\right)} \arctan\left(\frac{8 \, {\left(2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{3} - x \cos\left(\frac{2}{9} \, \pi\right)\right)} \sin\left(\frac{2}{9} \, \pi\right) + \sqrt{3} x + 2 \, {\left(2 \, \sqrt{3} x \cos\left(\frac{2}{9} \, \pi\right)^{2} + 2 \, x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) - \sqrt{3} x\right)} \sqrt{\frac{x^{2} - {\left(2 \, \sqrt{3} x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) + 2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} - x\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} \cos\left(\frac{2}{9} \, \pi\right)^{2} + 2 \, \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) - \sqrt{3}\right)}}{16 \, x \cos\left(\frac{2}{9} \, \pi\right)^{4} - 16 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} + 3 \, x}\right) + \frac{2}{3} \, {\left(\sqrt{3} \cos\left(\frac{2}{9} \, \pi\right) + \sin\left(\frac{2}{9} \, \pi\right)\right)} \arctan\left(-\frac{2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} - x \sqrt{\frac{x^{2} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} - x\right)} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - x + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{2 \, x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right)}\right) + \frac{1}{6} \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(-\frac{2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{12} \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(-\frac{2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} x^{2} - 2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x - {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - \frac{1}{6} \, {\left(\sqrt{3} \sin\left(\frac{2}{9} \, \pi\right) + \cos\left(\frac{2}{9} \, \pi\right)\right)} \log\left(\frac{64 \, {\left(x^{2} - {\left(2 \, \sqrt{3} x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) + 2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} - x\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + \frac{1}{3} \, \cos\left(\frac{2}{9} \, \pi\right) \log\left(\frac{16 \, {\left(x^{2} + {\left(2 \, \sqrt{3} x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) - 2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} + x\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + \frac{1}{6} \, {\left(\sqrt{3} \sin\left(\frac{2}{9} \, \pi\right) - \cos\left(\frac{2}{9} \, \pi\right)\right)} \log\left(\frac{64 \, {\left(x^{2} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} - x\right)} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - \frac{4}{3} \, \arctan\left(\frac{8 \, {\left(2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{3} - x \cos\left(\frac{2}{9} \, \pi\right)\right)} \sin\left(\frac{2}{9} \, \pi\right) - \sqrt{3} x - 2 \, {\left(2 \, \sqrt{3} x \cos\left(\frac{2}{9} \, \pi\right)^{2} - 2 \, x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) - \sqrt{3} x\right)} \sqrt{\frac{x^{2} + {\left(2 \, \sqrt{3} x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) - 2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} + x\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} \cos\left(\frac{2}{9} \, \pi\right)^{2} - 2 \, \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) - \sqrt{3}\right)}}{16 \, x \cos\left(\frac{2}{9} \, \pi\right)^{4} - 16 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} + 3 \, x}\right) \sin\left(\frac{2}{9} \, \pi\right)"," ",0,"-1/6*sqrt(6)*2^(1/6)*(-1)^(1/3)*arctan(-1/6*2^(1/6)*(sqrt(6)*2^(1/3)*x - 2*sqrt(6)*(-1)^(1/3)*(x^3 - x^2)^(1/3))/x) - 2/3*(sqrt(3)*cos(2/9*pi) - sin(2/9*pi))*arctan((8*(2*x*cos(2/9*pi)^3 - x*cos(2/9*pi))*sin(2/9*pi) + sqrt(3)*x + 2*(2*sqrt(3)*x*cos(2/9*pi)^2 + 2*x*cos(2/9*pi)*sin(2/9*pi) - sqrt(3)*x)*sqrt((x^2 - (2*sqrt(3)*x*cos(2/9*pi)*sin(2/9*pi) + 2*x*cos(2/9*pi)^2 - x)*(x^3 - x^2)^(1/3) + (x^3 - x^2)^(2/3))/x^2) - 2*(x^3 - x^2)^(1/3)*(2*sqrt(3)*cos(2/9*pi)^2 + 2*cos(2/9*pi)*sin(2/9*pi) - sqrt(3)))/(16*x*cos(2/9*pi)^4 - 16*x*cos(2/9*pi)^2 + 3*x)) + 2/3*(sqrt(3)*cos(2/9*pi) + sin(2/9*pi))*arctan(-1/2*(2*x*cos(2/9*pi)^2 - x*sqrt((x^2 + 2*(x^3 - x^2)^(1/3)*(2*x*cos(2/9*pi)^2 - x) + (x^3 - x^2)^(2/3))/x^2) - x + (x^3 - x^2)^(1/3))/(x*cos(2/9*pi)*sin(2/9*pi))) + 1/6*2^(2/3)*(-1)^(1/3)*log(-(2^(1/3)*(-1)^(2/3)*x - (x^3 - x^2)^(1/3))/x) - 1/12*2^(2/3)*(-1)^(1/3)*log(-(2^(2/3)*(-1)^(1/3)*x^2 - 2^(1/3)*(-1)^(2/3)*(x^3 - x^2)^(1/3)*x - (x^3 - x^2)^(2/3))/x^2) - 1/6*(sqrt(3)*sin(2/9*pi) + cos(2/9*pi))*log(64*(x^2 - (2*sqrt(3)*x*cos(2/9*pi)*sin(2/9*pi) + 2*x*cos(2/9*pi)^2 - x)*(x^3 - x^2)^(1/3) + (x^3 - x^2)^(2/3))/x^2) + 1/3*cos(2/9*pi)*log(16*(x^2 + (2*sqrt(3)*x*cos(2/9*pi)*sin(2/9*pi) - 2*x*cos(2/9*pi)^2 + x)*(x^3 - x^2)^(1/3) + (x^3 - x^2)^(2/3))/x^2) + 1/6*(sqrt(3)*sin(2/9*pi) - cos(2/9*pi))*log(64*(x^2 + 2*(x^3 - x^2)^(1/3)*(2*x*cos(2/9*pi)^2 - x) + (x^3 - x^2)^(2/3))/x^2) - 4/3*arctan((8*(2*x*cos(2/9*pi)^3 - x*cos(2/9*pi))*sin(2/9*pi) - sqrt(3)*x - 2*(2*sqrt(3)*x*cos(2/9*pi)^2 - 2*x*cos(2/9*pi)*sin(2/9*pi) - sqrt(3)*x)*sqrt((x^2 + (2*sqrt(3)*x*cos(2/9*pi)*sin(2/9*pi) - 2*x*cos(2/9*pi)^2 + x)*(x^3 - x^2)^(1/3) + (x^3 - x^2)^(2/3))/x^2) + 2*(x^3 - x^2)^(1/3)*(2*sqrt(3)*cos(2/9*pi)^2 - 2*cos(2/9*pi)*sin(2/9*pi) - sqrt(3)))/(16*x*cos(2/9*pi)^4 - 16*x*cos(2/9*pi)^2 + 3*x))*sin(2/9*pi)","B",0
2322,1,851,0,0.596499," ","integrate(1/(x^3+1)/(x^3-x^2)^(1/3),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{6} 2^{\frac{1}{6}} \left(-1\right)^{\frac{1}{3}} \arctan\left(-\frac{2^{\frac{1}{6}} {\left(\sqrt{6} 2^{\frac{1}{3}} x - 2 \, \sqrt{6} \left(-1\right)^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\right)}}{6 \, x}\right) - \frac{2}{3} \, {\left(\sqrt{3} \cos\left(\frac{2}{9} \, \pi\right) - \sin\left(\frac{2}{9} \, \pi\right)\right)} \arctan\left(\frac{8 \, {\left(2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{3} - x \cos\left(\frac{2}{9} \, \pi\right)\right)} \sin\left(\frac{2}{9} \, \pi\right) + \sqrt{3} x + 2 \, {\left(2 \, \sqrt{3} x \cos\left(\frac{2}{9} \, \pi\right)^{2} + 2 \, x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) - \sqrt{3} x\right)} \sqrt{\frac{x^{2} - {\left(2 \, \sqrt{3} x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) + 2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} - x\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} \cos\left(\frac{2}{9} \, \pi\right)^{2} + 2 \, \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) - \sqrt{3}\right)}}{16 \, x \cos\left(\frac{2}{9} \, \pi\right)^{4} - 16 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} + 3 \, x}\right) + \frac{2}{3} \, {\left(\sqrt{3} \cos\left(\frac{2}{9} \, \pi\right) + \sin\left(\frac{2}{9} \, \pi\right)\right)} \arctan\left(-\frac{2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} - x \sqrt{\frac{x^{2} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} - x\right)} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - x + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{2 \, x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right)}\right) + \frac{1}{6} \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(-\frac{2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{12} \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(-\frac{2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} x^{2} - 2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x - {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - \frac{1}{6} \, {\left(\sqrt{3} \sin\left(\frac{2}{9} \, \pi\right) + \cos\left(\frac{2}{9} \, \pi\right)\right)} \log\left(\frac{64 \, {\left(x^{2} - {\left(2 \, \sqrt{3} x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) + 2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} - x\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + \frac{1}{3} \, \cos\left(\frac{2}{9} \, \pi\right) \log\left(\frac{16 \, {\left(x^{2} + {\left(2 \, \sqrt{3} x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) - 2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} + x\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + \frac{1}{6} \, {\left(\sqrt{3} \sin\left(\frac{2}{9} \, \pi\right) - \cos\left(\frac{2}{9} \, \pi\right)\right)} \log\left(\frac{64 \, {\left(x^{2} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} - x\right)} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - \frac{4}{3} \, \arctan\left(\frac{8 \, {\left(2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{3} - x \cos\left(\frac{2}{9} \, \pi\right)\right)} \sin\left(\frac{2}{9} \, \pi\right) - \sqrt{3} x - 2 \, {\left(2 \, \sqrt{3} x \cos\left(\frac{2}{9} \, \pi\right)^{2} - 2 \, x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) - \sqrt{3} x\right)} \sqrt{\frac{x^{2} + {\left(2 \, \sqrt{3} x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) - 2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} + x\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} \cos\left(\frac{2}{9} \, \pi\right)^{2} - 2 \, \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) - \sqrt{3}\right)}}{16 \, x \cos\left(\frac{2}{9} \, \pi\right)^{4} - 16 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} + 3 \, x}\right) \sin\left(\frac{2}{9} \, \pi\right)"," ",0,"-1/6*sqrt(6)*2^(1/6)*(-1)^(1/3)*arctan(-1/6*2^(1/6)*(sqrt(6)*2^(1/3)*x - 2*sqrt(6)*(-1)^(1/3)*(x^3 - x^2)^(1/3))/x) - 2/3*(sqrt(3)*cos(2/9*pi) - sin(2/9*pi))*arctan((8*(2*x*cos(2/9*pi)^3 - x*cos(2/9*pi))*sin(2/9*pi) + sqrt(3)*x + 2*(2*sqrt(3)*x*cos(2/9*pi)^2 + 2*x*cos(2/9*pi)*sin(2/9*pi) - sqrt(3)*x)*sqrt((x^2 - (2*sqrt(3)*x*cos(2/9*pi)*sin(2/9*pi) + 2*x*cos(2/9*pi)^2 - x)*(x^3 - x^2)^(1/3) + (x^3 - x^2)^(2/3))/x^2) - 2*(x^3 - x^2)^(1/3)*(2*sqrt(3)*cos(2/9*pi)^2 + 2*cos(2/9*pi)*sin(2/9*pi) - sqrt(3)))/(16*x*cos(2/9*pi)^4 - 16*x*cos(2/9*pi)^2 + 3*x)) + 2/3*(sqrt(3)*cos(2/9*pi) + sin(2/9*pi))*arctan(-1/2*(2*x*cos(2/9*pi)^2 - x*sqrt((x^2 + 2*(x^3 - x^2)^(1/3)*(2*x*cos(2/9*pi)^2 - x) + (x^3 - x^2)^(2/3))/x^2) - x + (x^3 - x^2)^(1/3))/(x*cos(2/9*pi)*sin(2/9*pi))) + 1/6*2^(2/3)*(-1)^(1/3)*log(-(2^(1/3)*(-1)^(2/3)*x - (x^3 - x^2)^(1/3))/x) - 1/12*2^(2/3)*(-1)^(1/3)*log(-(2^(2/3)*(-1)^(1/3)*x^2 - 2^(1/3)*(-1)^(2/3)*(x^3 - x^2)^(1/3)*x - (x^3 - x^2)^(2/3))/x^2) - 1/6*(sqrt(3)*sin(2/9*pi) + cos(2/9*pi))*log(64*(x^2 - (2*sqrt(3)*x*cos(2/9*pi)*sin(2/9*pi) + 2*x*cos(2/9*pi)^2 - x)*(x^3 - x^2)^(1/3) + (x^3 - x^2)^(2/3))/x^2) + 1/3*cos(2/9*pi)*log(16*(x^2 + (2*sqrt(3)*x*cos(2/9*pi)*sin(2/9*pi) - 2*x*cos(2/9*pi)^2 + x)*(x^3 - x^2)^(1/3) + (x^3 - x^2)^(2/3))/x^2) + 1/6*(sqrt(3)*sin(2/9*pi) - cos(2/9*pi))*log(64*(x^2 + 2*(x^3 - x^2)^(1/3)*(2*x*cos(2/9*pi)^2 - x) + (x^3 - x^2)^(2/3))/x^2) - 4/3*arctan((8*(2*x*cos(2/9*pi)^3 - x*cos(2/9*pi))*sin(2/9*pi) - sqrt(3)*x - 2*(2*sqrt(3)*x*cos(2/9*pi)^2 - 2*x*cos(2/9*pi)*sin(2/9*pi) - sqrt(3)*x)*sqrt((x^2 + (2*sqrt(3)*x*cos(2/9*pi)*sin(2/9*pi) - 2*x*cos(2/9*pi)^2 + x)*(x^3 - x^2)^(1/3) + (x^3 - x^2)^(2/3))/x^2) + 2*(x^3 - x^2)^(1/3)*(2*sqrt(3)*cos(2/9*pi)^2 - 2*cos(2/9*pi)*sin(2/9*pi) - sqrt(3)))/(16*x*cos(2/9*pi)^4 - 16*x*cos(2/9*pi)^2 + 3*x))*sin(2/9*pi)","B",0
2323,-1,0,0,0.000000," ","integrate((p*x^3-2*q)*(p^2*x^6-2*p*q*x^4+2*p*q*x^3+q^2)^(1/2)/x^3/(a*p*x^3+b*x^2+a*q),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2324,1,1099,0,13.087524," ","integrate((x^6+x^2)^(1/4)*(x^8+1)/x^4/(x^4-1),x, algorithm=""fricas"")","\frac{20 \cdot 8^{\frac{3}{4}} \sqrt{2} x^{3} \arctan\left(-\frac{8 \, x^{9} + 32 \, x^{7} + 48 \, x^{5} + 4 \cdot 8^{\frac{3}{4}} \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 6 \, x^{2} + 1\right)} + 32 \, x^{3} + 16 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(3 \, x^{6} - 2 \, x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 32 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} + 2 \, x^{3} + x\right)} - \sqrt{2} {\left(128 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} + 8^{\frac{3}{4}} \sqrt{2} {\left(x^{9} - 16 \, x^{7} - 2 \, x^{5} - 16 \, x^{3} + x\right)} + 8 \cdot 8^{\frac{1}{4}} \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 6 \, x^{3} + x\right)} + 32 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{8^{\frac{3}{4}} \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \, \sqrt{x^{6} + x^{2}} x}{x^{5} + 2 \, x^{3} + x}} + 8 \, x}{8 \, {\left(x^{9} - 28 \, x^{7} + 6 \, x^{5} - 28 \, x^{3} + x\right)}}\right) - 20 \cdot 8^{\frac{3}{4}} \sqrt{2} x^{3} \arctan\left(-\frac{8 \, x^{9} + 32 \, x^{7} + 48 \, x^{5} - 4 \cdot 8^{\frac{3}{4}} \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 6 \, x^{2} + 1\right)} + 32 \, x^{3} - 16 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(3 \, x^{6} - 2 \, x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 32 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} + 2 \, x^{3} + x\right)} - \sqrt{2} {\left(128 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} - 8^{\frac{3}{4}} \sqrt{2} {\left(x^{9} - 16 \, x^{7} - 2 \, x^{5} - 16 \, x^{3} + x\right)} - 8 \cdot 8^{\frac{1}{4}} \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 6 \, x^{3} + x\right)} + 32 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{-\frac{8^{\frac{3}{4}} \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 8 \, \sqrt{x^{6} + x^{2}} x}{x^{5} + 2 \, x^{3} + x}} + 8 \, x}{8 \, {\left(x^{9} - 28 \, x^{7} + 6 \, x^{5} - 28 \, x^{3} + x\right)}}\right) + 5 \cdot 8^{\frac{3}{4}} \sqrt{2} x^{3} \log\left(\frac{8 \, {\left(8^{\frac{3}{4}} \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \, \sqrt{x^{6} + x^{2}} x\right)}}{x^{5} + 2 \, x^{3} + x}\right) - 5 \cdot 8^{\frac{3}{4}} \sqrt{2} x^{3} \log\left(-\frac{8 \, {\left(8^{\frac{3}{4}} \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 8 \, \sqrt{x^{6} + x^{2}} x\right)}}{x^{5} + 2 \, x^{3} + x}\right) + 40 \cdot 8^{\frac{3}{4}} x^{3} \arctan\left(\frac{16 \cdot 8^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(8^{\frac{3}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \cdot 8^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} x\right)} + 4 \cdot 8^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{8 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) - 10 \cdot 8^{\frac{3}{4}} x^{3} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 8^{\frac{3}{4}} \sqrt{x^{6} + x^{2}} x + 8^{\frac{1}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) + 10 \cdot 8^{\frac{3}{4}} x^{3} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - 8^{\frac{3}{4}} \sqrt{x^{6} + x^{2}} x - 8^{\frac{1}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) + 128 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)}}{320 \, x^{3}}"," ",0,"1/320*(20*8^(3/4)*sqrt(2)*x^3*arctan(-1/8*(8*x^9 + 32*x^7 + 48*x^5 + 4*8^(3/4)*sqrt(2)*(x^6 + x^2)^(3/4)*(x^4 - 6*x^2 + 1) + 32*x^3 + 16*8^(1/4)*sqrt(2)*(3*x^6 - 2*x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 32*sqrt(2)*sqrt(x^6 + x^2)*(x^5 + 2*x^3 + x) - sqrt(2)*(128*sqrt(2)*(x^6 + x^2)^(3/4)*x^2 + 8^(3/4)*sqrt(2)*(x^9 - 16*x^7 - 2*x^5 - 16*x^3 + x) + 8*8^(1/4)*sqrt(2)*sqrt(x^6 + x^2)*(x^5 - 6*x^3 + x) + 32*(x^6 + 2*x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt((8^(3/4)*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 2*8^(1/4)*sqrt(2)*(x^6 + x^2)^(3/4) + sqrt(2)*(x^5 + 2*x^3 + x) + 8*sqrt(x^6 + x^2)*x)/(x^5 + 2*x^3 + x)) + 8*x)/(x^9 - 28*x^7 + 6*x^5 - 28*x^3 + x)) - 20*8^(3/4)*sqrt(2)*x^3*arctan(-1/8*(8*x^9 + 32*x^7 + 48*x^5 - 4*8^(3/4)*sqrt(2)*(x^6 + x^2)^(3/4)*(x^4 - 6*x^2 + 1) + 32*x^3 - 16*8^(1/4)*sqrt(2)*(3*x^6 - 2*x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 32*sqrt(2)*sqrt(x^6 + x^2)*(x^5 + 2*x^3 + x) - sqrt(2)*(128*sqrt(2)*(x^6 + x^2)^(3/4)*x^2 - 8^(3/4)*sqrt(2)*(x^9 - 16*x^7 - 2*x^5 - 16*x^3 + x) - 8*8^(1/4)*sqrt(2)*sqrt(x^6 + x^2)*(x^5 - 6*x^3 + x) + 32*(x^6 + 2*x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt(-(8^(3/4)*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 2*8^(1/4)*sqrt(2)*(x^6 + x^2)^(3/4) - sqrt(2)*(x^5 + 2*x^3 + x) - 8*sqrt(x^6 + x^2)*x)/(x^5 + 2*x^3 + x)) + 8*x)/(x^9 - 28*x^7 + 6*x^5 - 28*x^3 + x)) + 5*8^(3/4)*sqrt(2)*x^3*log(8*(8^(3/4)*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 2*8^(1/4)*sqrt(2)*(x^6 + x^2)^(3/4) + sqrt(2)*(x^5 + 2*x^3 + x) + 8*sqrt(x^6 + x^2)*x)/(x^5 + 2*x^3 + x)) - 5*8^(3/4)*sqrt(2)*x^3*log(-8*(8^(3/4)*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 2*8^(1/4)*sqrt(2)*(x^6 + x^2)^(3/4) - sqrt(2)*(x^5 + 2*x^3 + x) - 8*sqrt(x^6 + x^2)*x)/(x^5 + 2*x^3 + x)) + 40*8^(3/4)*x^3*arctan(1/8*(16*8^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 2^(3/4)*(8^(3/4)*(x^5 + 2*x^3 + x) + 8*8^(1/4)*sqrt(x^6 + x^2)*x) + 4*8^(3/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) - 10*8^(3/4)*x^3*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 8^(3/4)*sqrt(x^6 + x^2)*x + 8^(1/4)*(x^5 + 2*x^3 + x) + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 10*8^(3/4)*x^3*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 - 8^(3/4)*sqrt(x^6 + x^2)*x - 8^(1/4)*(x^5 + 2*x^3 + x) + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 128*(x^6 + x^2)^(1/4)*(x^4 + 1))/x^3","B",0
2325,1,1099,0,13.090783," ","integrate((x^6+x^2)^(1/4)*(x^8+1)/x^4/(x^4-1),x, algorithm=""fricas"")","\frac{20 \cdot 8^{\frac{3}{4}} \sqrt{2} x^{3} \arctan\left(-\frac{8 \, x^{9} + 32 \, x^{7} + 48 \, x^{5} + 4 \cdot 8^{\frac{3}{4}} \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 6 \, x^{2} + 1\right)} + 32 \, x^{3} + 16 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(3 \, x^{6} - 2 \, x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 32 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} + 2 \, x^{3} + x\right)} - \sqrt{2} {\left(128 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} + 8^{\frac{3}{4}} \sqrt{2} {\left(x^{9} - 16 \, x^{7} - 2 \, x^{5} - 16 \, x^{3} + x\right)} + 8 \cdot 8^{\frac{1}{4}} \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 6 \, x^{3} + x\right)} + 32 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{8^{\frac{3}{4}} \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \, \sqrt{x^{6} + x^{2}} x}{x^{5} + 2 \, x^{3} + x}} + 8 \, x}{8 \, {\left(x^{9} - 28 \, x^{7} + 6 \, x^{5} - 28 \, x^{3} + x\right)}}\right) - 20 \cdot 8^{\frac{3}{4}} \sqrt{2} x^{3} \arctan\left(-\frac{8 \, x^{9} + 32 \, x^{7} + 48 \, x^{5} - 4 \cdot 8^{\frac{3}{4}} \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 6 \, x^{2} + 1\right)} + 32 \, x^{3} - 16 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(3 \, x^{6} - 2 \, x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 32 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} + 2 \, x^{3} + x\right)} - \sqrt{2} {\left(128 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} - 8^{\frac{3}{4}} \sqrt{2} {\left(x^{9} - 16 \, x^{7} - 2 \, x^{5} - 16 \, x^{3} + x\right)} - 8 \cdot 8^{\frac{1}{4}} \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 6 \, x^{3} + x\right)} + 32 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{-\frac{8^{\frac{3}{4}} \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 8 \, \sqrt{x^{6} + x^{2}} x}{x^{5} + 2 \, x^{3} + x}} + 8 \, x}{8 \, {\left(x^{9} - 28 \, x^{7} + 6 \, x^{5} - 28 \, x^{3} + x\right)}}\right) + 5 \cdot 8^{\frac{3}{4}} \sqrt{2} x^{3} \log\left(\frac{8 \, {\left(8^{\frac{3}{4}} \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \, \sqrt{x^{6} + x^{2}} x\right)}}{x^{5} + 2 \, x^{3} + x}\right) - 5 \cdot 8^{\frac{3}{4}} \sqrt{2} x^{3} \log\left(-\frac{8 \, {\left(8^{\frac{3}{4}} \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 8 \, \sqrt{x^{6} + x^{2}} x\right)}}{x^{5} + 2 \, x^{3} + x}\right) + 40 \cdot 8^{\frac{3}{4}} x^{3} \arctan\left(\frac{16 \cdot 8^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(8^{\frac{3}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \cdot 8^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} x\right)} + 4 \cdot 8^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{8 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) - 10 \cdot 8^{\frac{3}{4}} x^{3} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 8^{\frac{3}{4}} \sqrt{x^{6} + x^{2}} x + 8^{\frac{1}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) + 10 \cdot 8^{\frac{3}{4}} x^{3} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - 8^{\frac{3}{4}} \sqrt{x^{6} + x^{2}} x - 8^{\frac{1}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) + 128 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)}}{320 \, x^{3}}"," ",0,"1/320*(20*8^(3/4)*sqrt(2)*x^3*arctan(-1/8*(8*x^9 + 32*x^7 + 48*x^5 + 4*8^(3/4)*sqrt(2)*(x^6 + x^2)^(3/4)*(x^4 - 6*x^2 + 1) + 32*x^3 + 16*8^(1/4)*sqrt(2)*(3*x^6 - 2*x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 32*sqrt(2)*sqrt(x^6 + x^2)*(x^5 + 2*x^3 + x) - sqrt(2)*(128*sqrt(2)*(x^6 + x^2)^(3/4)*x^2 + 8^(3/4)*sqrt(2)*(x^9 - 16*x^7 - 2*x^5 - 16*x^3 + x) + 8*8^(1/4)*sqrt(2)*sqrt(x^6 + x^2)*(x^5 - 6*x^3 + x) + 32*(x^6 + 2*x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt((8^(3/4)*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 2*8^(1/4)*sqrt(2)*(x^6 + x^2)^(3/4) + sqrt(2)*(x^5 + 2*x^3 + x) + 8*sqrt(x^6 + x^2)*x)/(x^5 + 2*x^3 + x)) + 8*x)/(x^9 - 28*x^7 + 6*x^5 - 28*x^3 + x)) - 20*8^(3/4)*sqrt(2)*x^3*arctan(-1/8*(8*x^9 + 32*x^7 + 48*x^5 - 4*8^(3/4)*sqrt(2)*(x^6 + x^2)^(3/4)*(x^4 - 6*x^2 + 1) + 32*x^3 - 16*8^(1/4)*sqrt(2)*(3*x^6 - 2*x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 32*sqrt(2)*sqrt(x^6 + x^2)*(x^5 + 2*x^3 + x) - sqrt(2)*(128*sqrt(2)*(x^6 + x^2)^(3/4)*x^2 - 8^(3/4)*sqrt(2)*(x^9 - 16*x^7 - 2*x^5 - 16*x^3 + x) - 8*8^(1/4)*sqrt(2)*sqrt(x^6 + x^2)*(x^5 - 6*x^3 + x) + 32*(x^6 + 2*x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt(-(8^(3/4)*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 2*8^(1/4)*sqrt(2)*(x^6 + x^2)^(3/4) - sqrt(2)*(x^5 + 2*x^3 + x) - 8*sqrt(x^6 + x^2)*x)/(x^5 + 2*x^3 + x)) + 8*x)/(x^9 - 28*x^7 + 6*x^5 - 28*x^3 + x)) + 5*8^(3/4)*sqrt(2)*x^3*log(8*(8^(3/4)*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 2*8^(1/4)*sqrt(2)*(x^6 + x^2)^(3/4) + sqrt(2)*(x^5 + 2*x^3 + x) + 8*sqrt(x^6 + x^2)*x)/(x^5 + 2*x^3 + x)) - 5*8^(3/4)*sqrt(2)*x^3*log(-8*(8^(3/4)*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 2*8^(1/4)*sqrt(2)*(x^6 + x^2)^(3/4) - sqrt(2)*(x^5 + 2*x^3 + x) - 8*sqrt(x^6 + x^2)*x)/(x^5 + 2*x^3 + x)) + 40*8^(3/4)*x^3*arctan(1/8*(16*8^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 2^(3/4)*(8^(3/4)*(x^5 + 2*x^3 + x) + 8*8^(1/4)*sqrt(x^6 + x^2)*x) + 4*8^(3/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) - 10*8^(3/4)*x^3*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 8^(3/4)*sqrt(x^6 + x^2)*x + 8^(1/4)*(x^5 + 2*x^3 + x) + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 10*8^(3/4)*x^3*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 - 8^(3/4)*sqrt(x^6 + x^2)*x - 8^(1/4)*(x^5 + 2*x^3 + x) + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 128*(x^6 + x^2)^(1/4)*(x^4 + 1))/x^3","B",0
2326,1,277,0,1.848725," ","integrate(1/x/(x^2-3*x+2)^(1/3),x, algorithm=""fricas"")","-\frac{1}{12} \, \sqrt{3} 2^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} 2^{\frac{1}{6}} {\left(2^{\frac{5}{6}} {\left(x^{6} + 36 \, x^{5} - 612 \, x^{4} + 2880 \, x^{3} - 5760 \, x^{2} + 5184 \, x - 1728\right)} + 12 \, \sqrt{2} {\left(x^{5} - 38 \, x^{4} + 252 \, x^{3} - 648 \, x^{2} + 720 \, x - 288\right)} {\left(x^{2} - 3 \, x + 2\right)}^{\frac{1}{3}} + 48 \cdot 2^{\frac{1}{6}} {\left(x^{4} - 6 \, x^{3} + 6 \, x^{2}\right)} {\left(x^{2} - 3 \, x + 2\right)}^{\frac{2}{3}}\right)}}{6 \, {\left(x^{6} - 108 \, x^{5} + 972 \, x^{4} - 3456 \, x^{3} + 6048 \, x^{2} - 5184 \, x + 1728\right)}}\right) + \frac{1}{12} \cdot 2^{\frac{2}{3}} \log\left(\frac{2^{\frac{2}{3}} x^{2} + 6 \cdot 2^{\frac{1}{3}} {\left(x^{2} - 3 \, x + 2\right)}^{\frac{1}{3}} {\left(x - 2\right)} + 12 \, {\left(x^{2} - 3 \, x + 2\right)}^{\frac{2}{3}}}{x^{2}}\right) - \frac{1}{24} \cdot 2^{\frac{2}{3}} \log\left(\frac{12 \cdot 2^{\frac{2}{3}} {\left(x^{2} - 3 \, x + 2\right)}^{\frac{2}{3}} {\left(x^{2} - 6 \, x + 6\right)} + 2^{\frac{1}{3}} {\left(x^{4} - 36 \, x^{3} + 180 \, x^{2} - 288 \, x + 144\right)} - 6 \, {\left(x^{3} - 14 \, x^{2} + 36 \, x - 24\right)} {\left(x^{2} - 3 \, x + 2\right)}^{\frac{1}{3}}}{x^{4}}\right)"," ",0,"-1/12*sqrt(3)*2^(2/3)*arctan(1/6*sqrt(3)*2^(1/6)*(2^(5/6)*(x^6 + 36*x^5 - 612*x^4 + 2880*x^3 - 5760*x^2 + 5184*x - 1728) + 12*sqrt(2)*(x^5 - 38*x^4 + 252*x^3 - 648*x^2 + 720*x - 288)*(x^2 - 3*x + 2)^(1/3) + 48*2^(1/6)*(x^4 - 6*x^3 + 6*x^2)*(x^2 - 3*x + 2)^(2/3))/(x^6 - 108*x^5 + 972*x^4 - 3456*x^3 + 6048*x^2 - 5184*x + 1728)) + 1/12*2^(2/3)*log((2^(2/3)*x^2 + 6*2^(1/3)*(x^2 - 3*x + 2)^(1/3)*(x - 2) + 12*(x^2 - 3*x + 2)^(2/3))/x^2) - 1/24*2^(2/3)*log((12*2^(2/3)*(x^2 - 3*x + 2)^(2/3)*(x^2 - 6*x + 6) + 2^(1/3)*(x^4 - 36*x^3 + 180*x^2 - 288*x + 144) - 6*(x^3 - 14*x^2 + 36*x - 24)*(x^2 - 3*x + 2)^(1/3))/x^4)","A",0
2327,-1,0,0,0.000000," ","integrate((a*b-x^2)/(x^2*(-a+x)*(-b+x))^(1/3)/(a*b-(a+b+d)*x+x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2328,-1,0,0,0.000000," ","integrate((2*p*x^3-q)*(p^2*x^6+2*p*q*x^3-2*p*q*x^2+q^2)^(1/2)*(b*x^2+a*(p*x^3+q)^2)/x^5,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2329,1,2096,0,1.893156," ","integrate((1+x)/(-1+x)/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{8}{105} \, {\left({\left(15 \, \sqrt{x + 1} + 4\right)} \sqrt{\sqrt{x + 1} + 1} - 18 \, \sqrt{x + 1} + 4\right)} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1} - \sqrt{2 \, \sqrt{2} \sqrt{\sqrt{2} + 1} - 2 \, \sqrt{2}} \log\left(16 \, {\left({\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{3} - {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} + {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} - 8 \, \sqrt{2} \sqrt{\sqrt{2} + 1} - 8 \, \sqrt{2}\right)} \sqrt{2 \, \sqrt{2} \sqrt{\sqrt{2} + 1} - 2 \, \sqrt{2}} + 128 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) + \sqrt{2 \, \sqrt{2} \sqrt{\sqrt{2} + 1} - 2 \, \sqrt{2}} \log\left(-16 \, {\left({\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{3} - {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} + {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} - 8 \, \sqrt{2} \sqrt{\sqrt{2} + 1} - 8 \, \sqrt{2}\right)} \sqrt{2 \, \sqrt{2} \sqrt{\sqrt{2} + 1} - 2 \, \sqrt{2}} + 128 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) + \sqrt{-2 \, \sqrt{2} \sqrt{\sqrt{2} + 1} - 2 \, \sqrt{2}} \log\left(16 \, {\left({\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{3} - 8 \, \sqrt{2} \sqrt{\sqrt{2} + 1} - 8 \, \sqrt{2} - 16\right)} \sqrt{-2 \, \sqrt{2} \sqrt{\sqrt{2} + 1} - 2 \, \sqrt{2}} + 128 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) - \sqrt{-2 \, \sqrt{2} \sqrt{\sqrt{2} + 1} - 2 \, \sqrt{2}} \log\left(-16 \, {\left({\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{3} - 8 \, \sqrt{2} \sqrt{\sqrt{2} + 1} - 8 \, \sqrt{2} - 16\right)} \sqrt{-2 \, \sqrt{2} \sqrt{\sqrt{2} + 1} - 2 \, \sqrt{2}} + 128 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) - \frac{1}{2} \, \sqrt{8 \, \sqrt{2} + 2 \, \sqrt{-12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} + 8 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + 128}} \log\left(4 \, {\left(2 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 2 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} - \sqrt{-12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} + 8 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + 128} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}\right)} \sqrt{8 \, \sqrt{2} + 2 \, \sqrt{-12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} + 8 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + 128}} + 256 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) + \frac{1}{2} \, \sqrt{8 \, \sqrt{2} + 2 \, \sqrt{-12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} + 8 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + 128}} \log\left(-4 \, {\left(2 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 2 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} - \sqrt{-12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} + 8 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + 128} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}\right)} \sqrt{8 \, \sqrt{2} + 2 \, \sqrt{-12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} + 8 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + 128}} + 256 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) - \frac{1}{2} \, \sqrt{8 \, \sqrt{2} - 2 \, \sqrt{-12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} + 8 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + 128}} \log\left(4 \, {\left(2 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 2 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + \sqrt{-12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} + 8 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + 128} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}\right)} \sqrt{8 \, \sqrt{2} - 2 \, \sqrt{-12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} + 8 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + 128}} + 256 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) + \frac{1}{2} \, \sqrt{8 \, \sqrt{2} - 2 \, \sqrt{-12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} + 8 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + 128}} \log\left(-4 \, {\left(2 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 2 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + \sqrt{-12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} + 8 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + 128} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}\right)} \sqrt{8 \, \sqrt{2} - 2 \, \sqrt{-12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} + 8 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + 128}} + 256 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right)"," ",0,"8/105*((15*sqrt(x + 1) + 4)*sqrt(sqrt(x + 1) + 1) - 18*sqrt(x + 1) + 4)*sqrt(sqrt(sqrt(x + 1) + 1) + 1) - sqrt(2*sqrt(2)*sqrt(sqrt(2) + 1) - 2*sqrt(2))*log(16*((sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^3 - (sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) + (sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 - 8*sqrt(2)*sqrt(sqrt(2) + 1) - 8*sqrt(2))*sqrt(2*sqrt(2)*sqrt(sqrt(2) + 1) - 2*sqrt(2)) + 128*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) + sqrt(2*sqrt(2)*sqrt(sqrt(2) + 1) - 2*sqrt(2))*log(-16*((sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^3 - (sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) + (sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 - 8*sqrt(2)*sqrt(sqrt(2) + 1) - 8*sqrt(2))*sqrt(2*sqrt(2)*sqrt(sqrt(2) + 1) - 2*sqrt(2)) + 128*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) + sqrt(-2*sqrt(2)*sqrt(sqrt(2) + 1) - 2*sqrt(2))*log(16*((sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^3 - 8*sqrt(2)*sqrt(sqrt(2) + 1) - 8*sqrt(2) - 16)*sqrt(-2*sqrt(2)*sqrt(sqrt(2) + 1) - 2*sqrt(2)) + 128*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) - sqrt(-2*sqrt(2)*sqrt(sqrt(2) + 1) - 2*sqrt(2))*log(-16*((sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^3 - 8*sqrt(2)*sqrt(sqrt(2) + 1) - 8*sqrt(2) - 16)*sqrt(-2*sqrt(2)*sqrt(sqrt(2) + 1) - 2*sqrt(2)) + 128*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) - 1/2*sqrt(8*sqrt(2) + 2*sqrt(-12*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2 + 8*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 12*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + 128))*log(4*(2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 - sqrt(-12*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2 + 8*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 12*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + 128)*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)))*sqrt(8*sqrt(2) + 2*sqrt(-12*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2 + 8*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 12*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + 128)) + 256*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) + 1/2*sqrt(8*sqrt(2) + 2*sqrt(-12*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2 + 8*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 12*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + 128))*log(-4*(2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 - sqrt(-12*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2 + 8*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 12*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + 128)*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)))*sqrt(8*sqrt(2) + 2*sqrt(-12*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2 + 8*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 12*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + 128)) + 256*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) - 1/2*sqrt(8*sqrt(2) - 2*sqrt(-12*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2 + 8*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 12*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + 128))*log(4*(2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + sqrt(-12*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2 + 8*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 12*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + 128)*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)))*sqrt(8*sqrt(2) - 2*sqrt(-12*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2 + 8*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 12*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + 128)) + 256*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) + 1/2*sqrt(8*sqrt(2) - 2*sqrt(-12*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2 + 8*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 12*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + 128))*log(-4*(2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + sqrt(-12*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2 + 8*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 12*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + 128)*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)))*sqrt(8*sqrt(2) - 2*sqrt(-12*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2 + 8*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 12*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + 128)) + 256*sqrt(sqrt(sqrt(x + 1) + 1) + 1))","B",0
2330,1,2096,0,1.342999," ","integrate((1+x)/(-1+x)/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{8}{105} \, {\left({\left(15 \, \sqrt{x + 1} + 4\right)} \sqrt{\sqrt{x + 1} + 1} - 18 \, \sqrt{x + 1} + 4\right)} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1} - \sqrt{2 \, \sqrt{2} \sqrt{\sqrt{2} + 1} - 2 \, \sqrt{2}} \log\left(16 \, {\left({\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{3} - {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} + {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} - 8 \, \sqrt{2} \sqrt{\sqrt{2} + 1} - 8 \, \sqrt{2}\right)} \sqrt{2 \, \sqrt{2} \sqrt{\sqrt{2} + 1} - 2 \, \sqrt{2}} + 128 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) + \sqrt{2 \, \sqrt{2} \sqrt{\sqrt{2} + 1} - 2 \, \sqrt{2}} \log\left(-16 \, {\left({\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{3} - {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} + {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} - 8 \, \sqrt{2} \sqrt{\sqrt{2} + 1} - 8 \, \sqrt{2}\right)} \sqrt{2 \, \sqrt{2} \sqrt{\sqrt{2} + 1} - 2 \, \sqrt{2}} + 128 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) + \sqrt{-2 \, \sqrt{2} \sqrt{\sqrt{2} + 1} - 2 \, \sqrt{2}} \log\left(16 \, {\left({\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{3} - 8 \, \sqrt{2} \sqrt{\sqrt{2} + 1} - 8 \, \sqrt{2} - 16\right)} \sqrt{-2 \, \sqrt{2} \sqrt{\sqrt{2} + 1} - 2 \, \sqrt{2}} + 128 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) - \sqrt{-2 \, \sqrt{2} \sqrt{\sqrt{2} + 1} - 2 \, \sqrt{2}} \log\left(-16 \, {\left({\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{3} - 8 \, \sqrt{2} \sqrt{\sqrt{2} + 1} - 8 \, \sqrt{2} - 16\right)} \sqrt{-2 \, \sqrt{2} \sqrt{\sqrt{2} + 1} - 2 \, \sqrt{2}} + 128 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) - \frac{1}{2} \, \sqrt{8 \, \sqrt{2} + 2 \, \sqrt{-12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} + 8 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + 128}} \log\left(4 \, {\left(2 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 2 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} - \sqrt{-12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} + 8 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + 128} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}\right)} \sqrt{8 \, \sqrt{2} + 2 \, \sqrt{-12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} + 8 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + 128}} + 256 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) + \frac{1}{2} \, \sqrt{8 \, \sqrt{2} + 2 \, \sqrt{-12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} + 8 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + 128}} \log\left(-4 \, {\left(2 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 2 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} - \sqrt{-12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} + 8 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + 128} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}\right)} \sqrt{8 \, \sqrt{2} + 2 \, \sqrt{-12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} + 8 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + 128}} + 256 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) - \frac{1}{2} \, \sqrt{8 \, \sqrt{2} - 2 \, \sqrt{-12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} + 8 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + 128}} \log\left(4 \, {\left(2 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 2 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + \sqrt{-12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} + 8 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + 128} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}\right)} \sqrt{8 \, \sqrt{2} - 2 \, \sqrt{-12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} + 8 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + 128}} + 256 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) + \frac{1}{2} \, \sqrt{8 \, \sqrt{2} - 2 \, \sqrt{-12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} + 8 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + 128}} \log\left(-4 \, {\left(2 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 2 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + \sqrt{-12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} + 8 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + 128} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}\right)} \sqrt{8 \, \sqrt{2} - 2 \, \sqrt{-12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)}^{2} + 8 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)} - 12 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} - \sqrt{2}\right)}^{2} + 128}} + 256 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right)"," ",0,"8/105*((15*sqrt(x + 1) + 4)*sqrt(sqrt(x + 1) + 1) - 18*sqrt(x + 1) + 4)*sqrt(sqrt(sqrt(x + 1) + 1) + 1) - sqrt(2*sqrt(2)*sqrt(sqrt(2) + 1) - 2*sqrt(2))*log(16*((sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^3 - (sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) + (sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 - 8*sqrt(2)*sqrt(sqrt(2) + 1) - 8*sqrt(2))*sqrt(2*sqrt(2)*sqrt(sqrt(2) + 1) - 2*sqrt(2)) + 128*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) + sqrt(2*sqrt(2)*sqrt(sqrt(2) + 1) - 2*sqrt(2))*log(-16*((sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^3 - (sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) + (sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 - 8*sqrt(2)*sqrt(sqrt(2) + 1) - 8*sqrt(2))*sqrt(2*sqrt(2)*sqrt(sqrt(2) + 1) - 2*sqrt(2)) + 128*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) + sqrt(-2*sqrt(2)*sqrt(sqrt(2) + 1) - 2*sqrt(2))*log(16*((sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^3 - 8*sqrt(2)*sqrt(sqrt(2) + 1) - 8*sqrt(2) - 16)*sqrt(-2*sqrt(2)*sqrt(sqrt(2) + 1) - 2*sqrt(2)) + 128*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) - sqrt(-2*sqrt(2)*sqrt(sqrt(2) + 1) - 2*sqrt(2))*log(-16*((sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^3 - 8*sqrt(2)*sqrt(sqrt(2) + 1) - 8*sqrt(2) - 16)*sqrt(-2*sqrt(2)*sqrt(sqrt(2) + 1) - 2*sqrt(2)) + 128*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) - 1/2*sqrt(8*sqrt(2) + 2*sqrt(-12*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2 + 8*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 12*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + 128))*log(4*(2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 - sqrt(-12*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2 + 8*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 12*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + 128)*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)))*sqrt(8*sqrt(2) + 2*sqrt(-12*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2 + 8*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 12*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + 128)) + 256*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) + 1/2*sqrt(8*sqrt(2) + 2*sqrt(-12*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2 + 8*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 12*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + 128))*log(-4*(2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 - sqrt(-12*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2 + 8*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 12*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + 128)*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)))*sqrt(8*sqrt(2) + 2*sqrt(-12*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2 + 8*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 12*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + 128)) + 256*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) - 1/2*sqrt(8*sqrt(2) - 2*sqrt(-12*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2 + 8*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 12*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + 128))*log(4*(2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + sqrt(-12*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2 + 8*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 12*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + 128)*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)))*sqrt(8*sqrt(2) - 2*sqrt(-12*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2 + 8*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 12*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + 128)) + 256*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) + 1/2*sqrt(8*sqrt(2) - 2*sqrt(-12*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2 + 8*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 12*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + 128))*log(-4*(2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + sqrt(-12*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2 + 8*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 12*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + 128)*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)))*sqrt(8*sqrt(2) - 2*sqrt(-12*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))^2 + 8*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2)) - 12*(sqrt(2)*sqrt(sqrt(2) + 1) - sqrt(2))^2 + 128)) + 256*sqrt(sqrt(sqrt(x + 1) + 1) + 1))","B",0
2331,-1,0,0,0.000000," ","integrate(1/(d+c*x+(a*x+(a^2*x^2+b^2)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2332,-1,0,0,0.000000," ","integrate(1/(d+c*x+(a*x+(a^2*x^2+b^2)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2333,-1,0,0,0.000000," ","integrate((c*x-d)/x^7/(a*x^3-b)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2334,1,1102,0,17.931695," ","integrate((x^4+x^2+1)/(-x^4+1)/(x^5+x^3)^(1/4),x, algorithm=""fricas"")","-\frac{12 \cdot 2^{\frac{3}{4}} {\left(x^{4} + x^{2}\right)} \arctan\left(-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{5} + x^{3}} x + 2^{\frac{1}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{4} - 2 \, x^{3} + x^{2}\right)}}\right) - 3 \cdot 2^{\frac{3}{4}} {\left(x^{4} + x^{2}\right)} \log\left(\frac{4 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{5} + x^{3}} x + 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} - 2 \, x^{3} + x^{2}}\right) + 3 \cdot 2^{\frac{3}{4}} {\left(x^{4} + x^{2}\right)} \log\left(\frac{4 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{5} + x^{3}} x + 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} - 2 \, x^{3} + x^{2}}\right) - 12 \cdot 2^{\frac{1}{4}} {\left(x^{4} + x^{2}\right)} \arctan\left(\frac{2 \, x^{6} + 8 \, x^{5} + 12 \, x^{4} + 8 \, x^{3} + 4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(x^{2} - 6 \, x + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{5} + x^{3}} {\left(x^{3} + 2 \, x^{2} + x\right)} + 2 \, x^{2} + \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} x + 2^{\frac{3}{4}} {\left(x^{6} - 16 \, x^{5} - 2 \, x^{4} - 16 \, x^{3} + x^{2}\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{5} + x^{3}} {\left(x^{3} - 6 \, x^{2} + x\right)} + 8 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)}\right)} \sqrt{\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} + 8 \, \sqrt{x^{5} + x^{3}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} + 2 \, x^{3} + x^{2}}} + 8 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(3 \, x^{4} - 2 \, x^{3} + 3 \, x^{2}\right)}}{2 \, {\left(x^{6} - 28 \, x^{5} + 6 \, x^{4} - 28 \, x^{3} + x^{2}\right)}}\right) + 12 \cdot 2^{\frac{1}{4}} {\left(x^{4} + x^{2}\right)} \arctan\left(\frac{2 \, x^{6} + 8 \, x^{5} + 12 \, x^{4} + 8 \, x^{3} - 4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(x^{2} - 6 \, x + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{5} + x^{3}} {\left(x^{3} + 2 \, x^{2} + x\right)} + 2 \, x^{2} + \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} x - 2^{\frac{3}{4}} {\left(x^{6} - 16 \, x^{5} - 2 \, x^{4} - 16 \, x^{3} + x^{2}\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{5} + x^{3}} {\left(x^{3} - 6 \, x^{2} + x\right)} + 8 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)}\right)} \sqrt{-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} - 8 \, \sqrt{x^{5} + x^{3}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} + 2 \, x^{3} + x^{2}}} - 8 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(3 \, x^{4} - 2 \, x^{3} + 3 \, x^{2}\right)}}{2 \, {\left(x^{6} - 28 \, x^{5} + 6 \, x^{4} - 28 \, x^{3} + x^{2}\right)}}\right) - 3 \cdot 2^{\frac{1}{4}} {\left(x^{4} + x^{2}\right)} \log\left(\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} + 8 \, \sqrt{x^{5} + x^{3}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}\right)}}{x^{4} + 2 \, x^{3} + x^{2}}\right) + 3 \cdot 2^{\frac{1}{4}} {\left(x^{4} + x^{2}\right)} \log\left(-\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} - 8 \, \sqrt{x^{5} + x^{3}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}\right)}}{x^{4} + 2 \, x^{3} + x^{2}}\right) - 32 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{32 \, {\left(x^{4} + x^{2}\right)}}"," ",0,"-1/32*(12*2^(3/4)*(x^4 + x^2)*arctan(-1/2*(4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 - 2^(3/4)*(2*2^(3/4)*sqrt(x^5 + x^3)*x + 2^(1/4)*(x^4 + 2*x^3 + x^2)) + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 - 2*x^3 + x^2)) - 3*2^(3/4)*(x^4 + x^2)*log((4*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 + 2^(3/4)*(x^4 + 2*x^3 + x^2) + 4*2^(1/4)*sqrt(x^5 + x^3)*x + 4*(x^5 + x^3)^(3/4))/(x^4 - 2*x^3 + x^2)) + 3*2^(3/4)*(x^4 + x^2)*log((4*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 - 2^(3/4)*(x^4 + 2*x^3 + x^2) - 4*2^(1/4)*sqrt(x^5 + x^3)*x + 4*(x^5 + x^3)^(3/4))/(x^4 - 2*x^3 + x^2)) - 12*2^(1/4)*(x^4 + x^2)*arctan(1/2*(2*x^6 + 8*x^5 + 12*x^4 + 8*x^3 + 4*2^(3/4)*(x^5 + x^3)^(3/4)*(x^2 - 6*x + 1) + 8*sqrt(2)*sqrt(x^5 + x^3)*(x^3 + 2*x^2 + x) + 2*x^2 + sqrt(2)*(32*sqrt(2)*(x^5 + x^3)^(3/4)*x + 2^(3/4)*(x^6 - 16*x^5 - 2*x^4 - 16*x^3 + x^2) + 4*2^(1/4)*sqrt(x^5 + x^3)*(x^3 - 6*x^2 + x) + 8*(x^5 + x^3)^(1/4)*(x^4 + 2*x^3 + x^2))*sqrt((4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 + sqrt(2)*(x^4 + 2*x^3 + x^2) + 8*sqrt(x^5 + x^3)*x + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 + 2*x^3 + x^2)) + 8*2^(1/4)*(x^5 + x^3)^(1/4)*(3*x^4 - 2*x^3 + 3*x^2))/(x^6 - 28*x^5 + 6*x^4 - 28*x^3 + x^2)) + 12*2^(1/4)*(x^4 + x^2)*arctan(1/2*(2*x^6 + 8*x^5 + 12*x^4 + 8*x^3 - 4*2^(3/4)*(x^5 + x^3)^(3/4)*(x^2 - 6*x + 1) + 8*sqrt(2)*sqrt(x^5 + x^3)*(x^3 + 2*x^2 + x) + 2*x^2 + sqrt(2)*(32*sqrt(2)*(x^5 + x^3)^(3/4)*x - 2^(3/4)*(x^6 - 16*x^5 - 2*x^4 - 16*x^3 + x^2) - 4*2^(1/4)*sqrt(x^5 + x^3)*(x^3 - 6*x^2 + x) + 8*(x^5 + x^3)^(1/4)*(x^4 + 2*x^3 + x^2))*sqrt(-(4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 - sqrt(2)*(x^4 + 2*x^3 + x^2) - 8*sqrt(x^5 + x^3)*x + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 + 2*x^3 + x^2)) - 8*2^(1/4)*(x^5 + x^3)^(1/4)*(3*x^4 - 2*x^3 + 3*x^2))/(x^6 - 28*x^5 + 6*x^4 - 28*x^3 + x^2)) - 3*2^(1/4)*(x^4 + x^2)*log(8*(4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 + sqrt(2)*(x^4 + 2*x^3 + x^2) + 8*sqrt(x^5 + x^3)*x + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 + 2*x^3 + x^2)) + 3*2^(1/4)*(x^4 + x^2)*log(-8*(4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 - sqrt(2)*(x^4 + 2*x^3 + x^2) - 8*sqrt(x^5 + x^3)*x + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 + 2*x^3 + x^2)) - 32*(x^5 + x^3)^(3/4))/(x^4 + x^2)","B",0
2335,1,292,0,0.565736," ","integrate((2*x^4-1)^(1/2)*(2*x^8-1)/x^7/(x^8+2*x^4-1),x, algorithm=""fricas"")","-\frac{12 \, \sqrt{2} x^{6} \sqrt{5 \, \sqrt{2} - 1} \arctan\left(\frac{{\left(\sqrt{2} x^{4} + 3 \, x^{4}\right)} \sqrt{2 \, x^{4} - 1} \sqrt{5 \, \sqrt{2} - 1} \sqrt{\frac{3 \, x^{8} - 2 \, x^{4} + 2 \, \sqrt{2} {\left(x^{8} - x^{4}\right)} + 1}{x^{8}}} - {\left(7 \, x^{4} - \sqrt{2} - 3\right)} \sqrt{2 \, x^{4} - 1} \sqrt{5 \, \sqrt{2} - 1}}{14 \, {\left(2 \, x^{6} - x^{2}\right)}}\right) - 3 \, \sqrt{2} x^{6} \sqrt{5 \, \sqrt{2} + 1} \log\left(\frac{7 \, \sqrt{2} x^{4} + 21 \, x^{4} + 2 \, \sqrt{2 \, x^{4} - 1} {\left(2 \, \sqrt{2} x^{2} + x^{2}\right)} \sqrt{5 \, \sqrt{2} + 1} - 7}{x^{4}}\right) + 3 \, \sqrt{2} x^{6} \sqrt{5 \, \sqrt{2} + 1} \log\left(\frac{7 \, \sqrt{2} x^{4} + 21 \, x^{4} - 2 \, \sqrt{2 \, x^{4} - 1} {\left(2 \, \sqrt{2} x^{2} + x^{2}\right)} \sqrt{5 \, \sqrt{2} + 1} - 7}{x^{4}}\right) + 16 \, {\left(4 \, x^{4} + 1\right)} \sqrt{2 \, x^{4} - 1}}{96 \, x^{6}}"," ",0,"-1/96*(12*sqrt(2)*x^6*sqrt(5*sqrt(2) - 1)*arctan(1/14*((sqrt(2)*x^4 + 3*x^4)*sqrt(2*x^4 - 1)*sqrt(5*sqrt(2) - 1)*sqrt((3*x^8 - 2*x^4 + 2*sqrt(2)*(x^8 - x^4) + 1)/x^8) - (7*x^4 - sqrt(2) - 3)*sqrt(2*x^4 - 1)*sqrt(5*sqrt(2) - 1))/(2*x^6 - x^2)) - 3*sqrt(2)*x^6*sqrt(5*sqrt(2) + 1)*log((7*sqrt(2)*x^4 + 21*x^4 + 2*sqrt(2*x^4 - 1)*(2*sqrt(2)*x^2 + x^2)*sqrt(5*sqrt(2) + 1) - 7)/x^4) + 3*sqrt(2)*x^6*sqrt(5*sqrt(2) + 1)*log((7*sqrt(2)*x^4 + 21*x^4 - 2*sqrt(2*x^4 - 1)*(2*sqrt(2)*x^2 + x^2)*sqrt(5*sqrt(2) + 1) - 7)/x^4) + 16*(4*x^4 + 1)*sqrt(2*x^4 - 1))/x^6","B",0
2336,1,186,0,0.610683," ","integrate((1+x)^(1/2)*(1+(1+x)^(1/2))^(1/2)/x/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","4 \, \sqrt{2} \sqrt{\sqrt{2} + 1} \arctan\left(\sqrt{\sqrt{2} + \sqrt{\sqrt{x + 1} + 1}} \sqrt{\sqrt{2} + 1} - \sqrt{\sqrt{2} + 1} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) - \sqrt{2} \sqrt{\sqrt{2} - 1} \log\left(2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1} + 4 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) + \sqrt{2} \sqrt{\sqrt{2} - 1} \log\left(-2 \, \sqrt{2} {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1} + 4 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) + \frac{8}{15} \, {\left(3 \, \sqrt{x + 1} - 4 \, \sqrt{\sqrt{x + 1} + 1} + 11\right)} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}"," ",0,"4*sqrt(2)*sqrt(sqrt(2) + 1)*arctan(sqrt(sqrt(2) + sqrt(sqrt(x + 1) + 1))*sqrt(sqrt(2) + 1) - sqrt(sqrt(2) + 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) - sqrt(2)*sqrt(sqrt(2) - 1)*log(2*sqrt(2)*(sqrt(2) + 2)*sqrt(sqrt(2) - 1) + 4*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) + sqrt(2)*sqrt(sqrt(2) - 1)*log(-2*sqrt(2)*(sqrt(2) + 2)*sqrt(sqrt(2) - 1) + 4*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) + 8/15*(3*sqrt(x + 1) - 4*sqrt(sqrt(x + 1) + 1) + 11)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)","A",0
2337,-2,0,0,0.000000," ","integrate((1+x)/(3+x)/(1+2*x)/(x^2+1)^(1/3),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
2338,1,908,0,0.696506," ","integrate((x^3-x^2)^(1/3)/(x^2+x+1),x, algorithm=""fricas"")","\frac{1}{6} \cdot 6^{\frac{2}{3}} 2^{\frac{1}{3}} \cos\left(\frac{2}{9} \, \pi\right) \log\left(\frac{24 \, {\left(3 \cdot 6^{\frac{1}{3}} 2^{\frac{2}{3}} x^{2} - {\left(6^{\frac{2}{3}} \sqrt{3} 2^{\frac{1}{3}} x \sin\left(\frac{2}{9} \, \pi\right) + 3 \cdot 6^{\frac{2}{3}} 2^{\frac{1}{3}} x \cos\left(\frac{2}{9} \, \pi\right)\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + 6 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - \frac{2}{3} \cdot 6^{\frac{2}{3}} 2^{\frac{1}{3}} \arctan\left(\frac{72 \, x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) + \sqrt{6} {\left(6^{\frac{1}{3}} \sqrt{3} 2^{\frac{2}{3}} x \cos\left(\frac{2}{9} \, \pi\right) + 3 \cdot 6^{\frac{1}{3}} 2^{\frac{2}{3}} x \sin\left(\frac{2}{9} \, \pi\right)\right)} \sqrt{\frac{3 \cdot 6^{\frac{1}{3}} 2^{\frac{2}{3}} x^{2} - {\left(6^{\frac{2}{3}} \sqrt{3} 2^{\frac{1}{3}} x \sin\left(\frac{2}{9} \, \pi\right) + 3 \cdot 6^{\frac{2}{3}} 2^{\frac{1}{3}} x \cos\left(\frac{2}{9} \, \pi\right)\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + 6 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 18 \, \sqrt{3} x - 6 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(6^{\frac{1}{3}} \sqrt{3} 2^{\frac{2}{3}} \cos\left(\frac{2}{9} \, \pi\right) + 3 \cdot 6^{\frac{1}{3}} 2^{\frac{2}{3}} \sin\left(\frac{2}{9} \, \pi\right)\right)}}{18 \, {\left(4 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} - 3 \, x\right)}}\right) \sin\left(\frac{2}{9} \, \pi\right) - \frac{1}{3} \, {\left(6^{\frac{2}{3}} \sqrt{3} 2^{\frac{1}{3}} \cos\left(\frac{2}{9} \, \pi\right) + 6^{\frac{2}{3}} 2^{\frac{1}{3}} \sin\left(\frac{2}{9} \, \pi\right)\right)} \arctan\left(-\frac{72 \, x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) + \sqrt{6} {\left(6^{\frac{1}{3}} \sqrt{3} 2^{\frac{2}{3}} x \cos\left(\frac{2}{9} \, \pi\right) - 3 \cdot 6^{\frac{1}{3}} 2^{\frac{2}{3}} x \sin\left(\frac{2}{9} \, \pi\right)\right)} \sqrt{\frac{3 \cdot 6^{\frac{1}{3}} 2^{\frac{2}{3}} x^{2} - {\left(6^{\frac{2}{3}} \sqrt{3} 2^{\frac{1}{3}} x \sin\left(\frac{2}{9} \, \pi\right) - 3 \cdot 6^{\frac{2}{3}} 2^{\frac{1}{3}} x \cos\left(\frac{2}{9} \, \pi\right)\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + 6 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 18 \, \sqrt{3} x - 6 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(6^{\frac{1}{3}} \sqrt{3} 2^{\frac{2}{3}} \cos\left(\frac{2}{9} \, \pi\right) - 3 \cdot 6^{\frac{1}{3}} 2^{\frac{2}{3}} \sin\left(\frac{2}{9} \, \pi\right)\right)}}{18 \, {\left(4 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} - 3 \, x\right)}}\right) + \frac{1}{3} \, {\left(6^{\frac{2}{3}} \sqrt{3} 2^{\frac{1}{3}} \cos\left(\frac{2}{9} \, \pi\right) - 6^{\frac{2}{3}} 2^{\frac{1}{3}} \sin\left(\frac{2}{9} \, \pi\right)\right)} \arctan\left(\frac{6^{\frac{5}{6}} \sqrt{3} 2^{\frac{2}{3}} x \sqrt{\frac{2 \cdot 6^{\frac{2}{3}} \sqrt{3} 2^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \sin\left(\frac{2}{9} \, \pi\right) + 3 \cdot 6^{\frac{1}{3}} 2^{\frac{2}{3}} x^{2} + 6 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 36 \, x \sin\left(\frac{2}{9} \, \pi\right) - 6 \cdot 6^{\frac{1}{3}} \sqrt{3} 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{36 \, x \cos\left(\frac{2}{9} \, \pi\right)}\right) - \frac{1}{12} \, {\left(6^{\frac{2}{3}} \sqrt{3} 2^{\frac{1}{3}} \sin\left(\frac{2}{9} \, \pi\right) + 6^{\frac{2}{3}} 2^{\frac{1}{3}} \cos\left(\frac{2}{9} \, \pi\right)\right)} \log\left(\frac{96 \, {\left(2 \cdot 6^{\frac{2}{3}} \sqrt{3} 2^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \sin\left(\frac{2}{9} \, \pi\right) + 3 \cdot 6^{\frac{1}{3}} 2^{\frac{2}{3}} x^{2} + 6 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + \frac{1}{12} \, {\left(6^{\frac{2}{3}} \sqrt{3} 2^{\frac{1}{3}} \sin\left(\frac{2}{9} \, \pi\right) - 6^{\frac{2}{3}} 2^{\frac{1}{3}} \cos\left(\frac{2}{9} \, \pi\right)\right)} \log\left(\frac{96 \, {\left(3 \cdot 6^{\frac{1}{3}} 2^{\frac{2}{3}} x^{2} - {\left(6^{\frac{2}{3}} \sqrt{3} 2^{\frac{1}{3}} x \sin\left(\frac{2}{9} \, \pi\right) - 3 \cdot 6^{\frac{2}{3}} 2^{\frac{1}{3}} x \cos\left(\frac{2}{9} \, \pi\right)\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + 6 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) - \log\left(-\frac{x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, \log\left(\frac{x^{2} + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"1/6*6^(2/3)*2^(1/3)*cos(2/9*pi)*log(24*(3*6^(1/3)*2^(2/3)*x^2 - (6^(2/3)*sqrt(3)*2^(1/3)*x*sin(2/9*pi) + 3*6^(2/3)*2^(1/3)*x*cos(2/9*pi))*(x^3 - x^2)^(1/3) + 6*(x^3 - x^2)^(2/3))/x^2) - 2/3*6^(2/3)*2^(1/3)*arctan(1/18*(72*x*cos(2/9*pi)*sin(2/9*pi) + sqrt(6)*(6^(1/3)*sqrt(3)*2^(2/3)*x*cos(2/9*pi) + 3*6^(1/3)*2^(2/3)*x*sin(2/9*pi))*sqrt((3*6^(1/3)*2^(2/3)*x^2 - (6^(2/3)*sqrt(3)*2^(1/3)*x*sin(2/9*pi) + 3*6^(2/3)*2^(1/3)*x*cos(2/9*pi))*(x^3 - x^2)^(1/3) + 6*(x^3 - x^2)^(2/3))/x^2) + 18*sqrt(3)*x - 6*(x^3 - x^2)^(1/3)*(6^(1/3)*sqrt(3)*2^(2/3)*cos(2/9*pi) + 3*6^(1/3)*2^(2/3)*sin(2/9*pi)))/(4*x*cos(2/9*pi)^2 - 3*x))*sin(2/9*pi) - 1/3*(6^(2/3)*sqrt(3)*2^(1/3)*cos(2/9*pi) + 6^(2/3)*2^(1/3)*sin(2/9*pi))*arctan(-1/18*(72*x*cos(2/9*pi)*sin(2/9*pi) + sqrt(6)*(6^(1/3)*sqrt(3)*2^(2/3)*x*cos(2/9*pi) - 3*6^(1/3)*2^(2/3)*x*sin(2/9*pi))*sqrt((3*6^(1/3)*2^(2/3)*x^2 - (6^(2/3)*sqrt(3)*2^(1/3)*x*sin(2/9*pi) - 3*6^(2/3)*2^(1/3)*x*cos(2/9*pi))*(x^3 - x^2)^(1/3) + 6*(x^3 - x^2)^(2/3))/x^2) - 18*sqrt(3)*x - 6*(x^3 - x^2)^(1/3)*(6^(1/3)*sqrt(3)*2^(2/3)*cos(2/9*pi) - 3*6^(1/3)*2^(2/3)*sin(2/9*pi)))/(4*x*cos(2/9*pi)^2 - 3*x)) + 1/3*(6^(2/3)*sqrt(3)*2^(1/3)*cos(2/9*pi) - 6^(2/3)*2^(1/3)*sin(2/9*pi))*arctan(1/36*(6^(5/6)*sqrt(3)*2^(2/3)*x*sqrt((2*6^(2/3)*sqrt(3)*2^(1/3)*(x^3 - x^2)^(1/3)*x*sin(2/9*pi) + 3*6^(1/3)*2^(2/3)*x^2 + 6*(x^3 - x^2)^(2/3))/x^2) - 36*x*sin(2/9*pi) - 6*6^(1/3)*sqrt(3)*2^(2/3)*(x^3 - x^2)^(1/3))/(x*cos(2/9*pi))) - 1/12*(6^(2/3)*sqrt(3)*2^(1/3)*sin(2/9*pi) + 6^(2/3)*2^(1/3)*cos(2/9*pi))*log(96*(2*6^(2/3)*sqrt(3)*2^(1/3)*(x^3 - x^2)^(1/3)*x*sin(2/9*pi) + 3*6^(1/3)*2^(2/3)*x^2 + 6*(x^3 - x^2)^(2/3))/x^2) + 1/12*(6^(2/3)*sqrt(3)*2^(1/3)*sin(2/9*pi) - 6^(2/3)*2^(1/3)*cos(2/9*pi))*log(96*(3*6^(1/3)*2^(2/3)*x^2 - (6^(2/3)*sqrt(3)*2^(1/3)*x*sin(2/9*pi) - 3*6^(2/3)*2^(1/3)*x*cos(2/9*pi))*(x^3 - x^2)^(1/3) + 6*(x^3 - x^2)^(2/3))/x^2) + sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 - x^2)^(1/3))/x) - log(-(x - (x^3 - x^2)^(1/3))/x) + 1/2*log((x^2 + (x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(2/3))/x^2)","B",0
2339,1,908,0,0.661441," ","integrate((x^3-x^2)^(1/3)/(x^2+x+1),x, algorithm=""fricas"")","\frac{1}{6} \cdot 6^{\frac{2}{3}} 2^{\frac{1}{3}} \cos\left(\frac{2}{9} \, \pi\right) \log\left(\frac{24 \, {\left(3 \cdot 6^{\frac{1}{3}} 2^{\frac{2}{3}} x^{2} - {\left(6^{\frac{2}{3}} \sqrt{3} 2^{\frac{1}{3}} x \sin\left(\frac{2}{9} \, \pi\right) + 3 \cdot 6^{\frac{2}{3}} 2^{\frac{1}{3}} x \cos\left(\frac{2}{9} \, \pi\right)\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + 6 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - \frac{2}{3} \cdot 6^{\frac{2}{3}} 2^{\frac{1}{3}} \arctan\left(\frac{72 \, x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) + \sqrt{6} {\left(6^{\frac{1}{3}} \sqrt{3} 2^{\frac{2}{3}} x \cos\left(\frac{2}{9} \, \pi\right) + 3 \cdot 6^{\frac{1}{3}} 2^{\frac{2}{3}} x \sin\left(\frac{2}{9} \, \pi\right)\right)} \sqrt{\frac{3 \cdot 6^{\frac{1}{3}} 2^{\frac{2}{3}} x^{2} - {\left(6^{\frac{2}{3}} \sqrt{3} 2^{\frac{1}{3}} x \sin\left(\frac{2}{9} \, \pi\right) + 3 \cdot 6^{\frac{2}{3}} 2^{\frac{1}{3}} x \cos\left(\frac{2}{9} \, \pi\right)\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + 6 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 18 \, \sqrt{3} x - 6 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(6^{\frac{1}{3}} \sqrt{3} 2^{\frac{2}{3}} \cos\left(\frac{2}{9} \, \pi\right) + 3 \cdot 6^{\frac{1}{3}} 2^{\frac{2}{3}} \sin\left(\frac{2}{9} \, \pi\right)\right)}}{18 \, {\left(4 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} - 3 \, x\right)}}\right) \sin\left(\frac{2}{9} \, \pi\right) - \frac{1}{3} \, {\left(6^{\frac{2}{3}} \sqrt{3} 2^{\frac{1}{3}} \cos\left(\frac{2}{9} \, \pi\right) + 6^{\frac{2}{3}} 2^{\frac{1}{3}} \sin\left(\frac{2}{9} \, \pi\right)\right)} \arctan\left(-\frac{72 \, x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) + \sqrt{6} {\left(6^{\frac{1}{3}} \sqrt{3} 2^{\frac{2}{3}} x \cos\left(\frac{2}{9} \, \pi\right) - 3 \cdot 6^{\frac{1}{3}} 2^{\frac{2}{3}} x \sin\left(\frac{2}{9} \, \pi\right)\right)} \sqrt{\frac{3 \cdot 6^{\frac{1}{3}} 2^{\frac{2}{3}} x^{2} - {\left(6^{\frac{2}{3}} \sqrt{3} 2^{\frac{1}{3}} x \sin\left(\frac{2}{9} \, \pi\right) - 3 \cdot 6^{\frac{2}{3}} 2^{\frac{1}{3}} x \cos\left(\frac{2}{9} \, \pi\right)\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + 6 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 18 \, \sqrt{3} x - 6 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(6^{\frac{1}{3}} \sqrt{3} 2^{\frac{2}{3}} \cos\left(\frac{2}{9} \, \pi\right) - 3 \cdot 6^{\frac{1}{3}} 2^{\frac{2}{3}} \sin\left(\frac{2}{9} \, \pi\right)\right)}}{18 \, {\left(4 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} - 3 \, x\right)}}\right) + \frac{1}{3} \, {\left(6^{\frac{2}{3}} \sqrt{3} 2^{\frac{1}{3}} \cos\left(\frac{2}{9} \, \pi\right) - 6^{\frac{2}{3}} 2^{\frac{1}{3}} \sin\left(\frac{2}{9} \, \pi\right)\right)} \arctan\left(\frac{6^{\frac{5}{6}} \sqrt{3} 2^{\frac{2}{3}} x \sqrt{\frac{2 \cdot 6^{\frac{2}{3}} \sqrt{3} 2^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \sin\left(\frac{2}{9} \, \pi\right) + 3 \cdot 6^{\frac{1}{3}} 2^{\frac{2}{3}} x^{2} + 6 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 36 \, x \sin\left(\frac{2}{9} \, \pi\right) - 6 \cdot 6^{\frac{1}{3}} \sqrt{3} 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{36 \, x \cos\left(\frac{2}{9} \, \pi\right)}\right) - \frac{1}{12} \, {\left(6^{\frac{2}{3}} \sqrt{3} 2^{\frac{1}{3}} \sin\left(\frac{2}{9} \, \pi\right) + 6^{\frac{2}{3}} 2^{\frac{1}{3}} \cos\left(\frac{2}{9} \, \pi\right)\right)} \log\left(\frac{96 \, {\left(2 \cdot 6^{\frac{2}{3}} \sqrt{3} 2^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \sin\left(\frac{2}{9} \, \pi\right) + 3 \cdot 6^{\frac{1}{3}} 2^{\frac{2}{3}} x^{2} + 6 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + \frac{1}{12} \, {\left(6^{\frac{2}{3}} \sqrt{3} 2^{\frac{1}{3}} \sin\left(\frac{2}{9} \, \pi\right) - 6^{\frac{2}{3}} 2^{\frac{1}{3}} \cos\left(\frac{2}{9} \, \pi\right)\right)} \log\left(\frac{96 \, {\left(3 \cdot 6^{\frac{1}{3}} 2^{\frac{2}{3}} x^{2} - {\left(6^{\frac{2}{3}} \sqrt{3} 2^{\frac{1}{3}} x \sin\left(\frac{2}{9} \, \pi\right) - 3 \cdot 6^{\frac{2}{3}} 2^{\frac{1}{3}} x \cos\left(\frac{2}{9} \, \pi\right)\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + 6 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) - \log\left(-\frac{x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, \log\left(\frac{x^{2} + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"1/6*6^(2/3)*2^(1/3)*cos(2/9*pi)*log(24*(3*6^(1/3)*2^(2/3)*x^2 - (6^(2/3)*sqrt(3)*2^(1/3)*x*sin(2/9*pi) + 3*6^(2/3)*2^(1/3)*x*cos(2/9*pi))*(x^3 - x^2)^(1/3) + 6*(x^3 - x^2)^(2/3))/x^2) - 2/3*6^(2/3)*2^(1/3)*arctan(1/18*(72*x*cos(2/9*pi)*sin(2/9*pi) + sqrt(6)*(6^(1/3)*sqrt(3)*2^(2/3)*x*cos(2/9*pi) + 3*6^(1/3)*2^(2/3)*x*sin(2/9*pi))*sqrt((3*6^(1/3)*2^(2/3)*x^2 - (6^(2/3)*sqrt(3)*2^(1/3)*x*sin(2/9*pi) + 3*6^(2/3)*2^(1/3)*x*cos(2/9*pi))*(x^3 - x^2)^(1/3) + 6*(x^3 - x^2)^(2/3))/x^2) + 18*sqrt(3)*x - 6*(x^3 - x^2)^(1/3)*(6^(1/3)*sqrt(3)*2^(2/3)*cos(2/9*pi) + 3*6^(1/3)*2^(2/3)*sin(2/9*pi)))/(4*x*cos(2/9*pi)^2 - 3*x))*sin(2/9*pi) - 1/3*(6^(2/3)*sqrt(3)*2^(1/3)*cos(2/9*pi) + 6^(2/3)*2^(1/3)*sin(2/9*pi))*arctan(-1/18*(72*x*cos(2/9*pi)*sin(2/9*pi) + sqrt(6)*(6^(1/3)*sqrt(3)*2^(2/3)*x*cos(2/9*pi) - 3*6^(1/3)*2^(2/3)*x*sin(2/9*pi))*sqrt((3*6^(1/3)*2^(2/3)*x^2 - (6^(2/3)*sqrt(3)*2^(1/3)*x*sin(2/9*pi) - 3*6^(2/3)*2^(1/3)*x*cos(2/9*pi))*(x^3 - x^2)^(1/3) + 6*(x^3 - x^2)^(2/3))/x^2) - 18*sqrt(3)*x - 6*(x^3 - x^2)^(1/3)*(6^(1/3)*sqrt(3)*2^(2/3)*cos(2/9*pi) - 3*6^(1/3)*2^(2/3)*sin(2/9*pi)))/(4*x*cos(2/9*pi)^2 - 3*x)) + 1/3*(6^(2/3)*sqrt(3)*2^(1/3)*cos(2/9*pi) - 6^(2/3)*2^(1/3)*sin(2/9*pi))*arctan(1/36*(6^(5/6)*sqrt(3)*2^(2/3)*x*sqrt((2*6^(2/3)*sqrt(3)*2^(1/3)*(x^3 - x^2)^(1/3)*x*sin(2/9*pi) + 3*6^(1/3)*2^(2/3)*x^2 + 6*(x^3 - x^2)^(2/3))/x^2) - 36*x*sin(2/9*pi) - 6*6^(1/3)*sqrt(3)*2^(2/3)*(x^3 - x^2)^(1/3))/(x*cos(2/9*pi))) - 1/12*(6^(2/3)*sqrt(3)*2^(1/3)*sin(2/9*pi) + 6^(2/3)*2^(1/3)*cos(2/9*pi))*log(96*(2*6^(2/3)*sqrt(3)*2^(1/3)*(x^3 - x^2)^(1/3)*x*sin(2/9*pi) + 3*6^(1/3)*2^(2/3)*x^2 + 6*(x^3 - x^2)^(2/3))/x^2) + 1/12*(6^(2/3)*sqrt(3)*2^(1/3)*sin(2/9*pi) - 6^(2/3)*2^(1/3)*cos(2/9*pi))*log(96*(3*6^(1/3)*2^(2/3)*x^2 - (6^(2/3)*sqrt(3)*2^(1/3)*x*sin(2/9*pi) - 3*6^(2/3)*2^(1/3)*x*cos(2/9*pi))*(x^3 - x^2)^(1/3) + 6*(x^3 - x^2)^(2/3))/x^2) + sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 - x^2)^(1/3))/x) - log(-(x - (x^3 - x^2)^(1/3))/x) + 1/2*log((x^2 + (x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(2/3))/x^2)","B",0
2340,-1,0,0,0.000000," ","integrate(x*(5-4*(1+k)*x+3*k*x^2)/((1-x)*x*(-k*x+1))^(1/3)/(-b+(b*k+b)*x-b*k*x^2+x^5),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2341,1,1100,0,14.917215," ","integrate((x^4+1)/(-x^4+1)/(x^5+x^3)^(1/4),x, algorithm=""fricas"")","-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{4} + x^{2}\right)} \arctan\left(-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{5} + x^{3}} x + 2^{\frac{1}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{4} - 2 \, x^{3} + x^{2}\right)}}\right) - 2^{\frac{3}{4}} {\left(x^{4} + x^{2}\right)} \log\left(\frac{4 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{5} + x^{3}} x + 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} - 2 \, x^{3} + x^{2}}\right) + 2^{\frac{3}{4}} {\left(x^{4} + x^{2}\right)} \log\left(\frac{4 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{5} + x^{3}} x + 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} - 2 \, x^{3} + x^{2}}\right) - 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} + x^{2}\right)} \arctan\left(\frac{2 \, x^{6} + 8 \, x^{5} + 12 \, x^{4} + 8 \, x^{3} + 4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(x^{2} - 6 \, x + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{5} + x^{3}} {\left(x^{3} + 2 \, x^{2} + x\right)} + 2 \, x^{2} + \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} x + 2^{\frac{3}{4}} {\left(x^{6} - 16 \, x^{5} - 2 \, x^{4} - 16 \, x^{3} + x^{2}\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{5} + x^{3}} {\left(x^{3} - 6 \, x^{2} + x\right)} + 8 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)}\right)} \sqrt{\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} + 8 \, \sqrt{x^{5} + x^{3}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} + 2 \, x^{3} + x^{2}}} + 8 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(3 \, x^{4} - 2 \, x^{3} + 3 \, x^{2}\right)}}{2 \, {\left(x^{6} - 28 \, x^{5} + 6 \, x^{4} - 28 \, x^{3} + x^{2}\right)}}\right) + 4 \cdot 2^{\frac{1}{4}} {\left(x^{4} + x^{2}\right)} \arctan\left(\frac{2 \, x^{6} + 8 \, x^{5} + 12 \, x^{4} + 8 \, x^{3} - 4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(x^{2} - 6 \, x + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{5} + x^{3}} {\left(x^{3} + 2 \, x^{2} + x\right)} + 2 \, x^{2} + \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} x - 2^{\frac{3}{4}} {\left(x^{6} - 16 \, x^{5} - 2 \, x^{4} - 16 \, x^{3} + x^{2}\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{5} + x^{3}} {\left(x^{3} - 6 \, x^{2} + x\right)} + 8 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)}\right)} \sqrt{-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} - 8 \, \sqrt{x^{5} + x^{3}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} + 2 \, x^{3} + x^{2}}} - 8 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(3 \, x^{4} - 2 \, x^{3} + 3 \, x^{2}\right)}}{2 \, {\left(x^{6} - 28 \, x^{5} + 6 \, x^{4} - 28 \, x^{3} + x^{2}\right)}}\right) - 2^{\frac{1}{4}} {\left(x^{4} + x^{2}\right)} \log\left(\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} + 8 \, \sqrt{x^{5} + x^{3}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}\right)}}{x^{4} + 2 \, x^{3} + x^{2}}\right) + 2^{\frac{1}{4}} {\left(x^{4} + x^{2}\right)} \log\left(-\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} - 8 \, \sqrt{x^{5} + x^{3}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}\right)}}{x^{4} + 2 \, x^{3} + x^{2}}\right) - 32 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{16 \, {\left(x^{4} + x^{2}\right)}}"," ",0,"-1/16*(4*2^(3/4)*(x^4 + x^2)*arctan(-1/2*(4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 - 2^(3/4)*(2*2^(3/4)*sqrt(x^5 + x^3)*x + 2^(1/4)*(x^4 + 2*x^3 + x^2)) + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 - 2*x^3 + x^2)) - 2^(3/4)*(x^4 + x^2)*log((4*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 + 2^(3/4)*(x^4 + 2*x^3 + x^2) + 4*2^(1/4)*sqrt(x^5 + x^3)*x + 4*(x^5 + x^3)^(3/4))/(x^4 - 2*x^3 + x^2)) + 2^(3/4)*(x^4 + x^2)*log((4*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 - 2^(3/4)*(x^4 + 2*x^3 + x^2) - 4*2^(1/4)*sqrt(x^5 + x^3)*x + 4*(x^5 + x^3)^(3/4))/(x^4 - 2*x^3 + x^2)) - 4*2^(1/4)*(x^4 + x^2)*arctan(1/2*(2*x^6 + 8*x^5 + 12*x^4 + 8*x^3 + 4*2^(3/4)*(x^5 + x^3)^(3/4)*(x^2 - 6*x + 1) + 8*sqrt(2)*sqrt(x^5 + x^3)*(x^3 + 2*x^2 + x) + 2*x^2 + sqrt(2)*(32*sqrt(2)*(x^5 + x^3)^(3/4)*x + 2^(3/4)*(x^6 - 16*x^5 - 2*x^4 - 16*x^3 + x^2) + 4*2^(1/4)*sqrt(x^5 + x^3)*(x^3 - 6*x^2 + x) + 8*(x^5 + x^3)^(1/4)*(x^4 + 2*x^3 + x^2))*sqrt((4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 + sqrt(2)*(x^4 + 2*x^3 + x^2) + 8*sqrt(x^5 + x^3)*x + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 + 2*x^3 + x^2)) + 8*2^(1/4)*(x^5 + x^3)^(1/4)*(3*x^4 - 2*x^3 + 3*x^2))/(x^6 - 28*x^5 + 6*x^4 - 28*x^3 + x^2)) + 4*2^(1/4)*(x^4 + x^2)*arctan(1/2*(2*x^6 + 8*x^5 + 12*x^4 + 8*x^3 - 4*2^(3/4)*(x^5 + x^3)^(3/4)*(x^2 - 6*x + 1) + 8*sqrt(2)*sqrt(x^5 + x^3)*(x^3 + 2*x^2 + x) + 2*x^2 + sqrt(2)*(32*sqrt(2)*(x^5 + x^3)^(3/4)*x - 2^(3/4)*(x^6 - 16*x^5 - 2*x^4 - 16*x^3 + x^2) - 4*2^(1/4)*sqrt(x^5 + x^3)*(x^3 - 6*x^2 + x) + 8*(x^5 + x^3)^(1/4)*(x^4 + 2*x^3 + x^2))*sqrt(-(4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 - sqrt(2)*(x^4 + 2*x^3 + x^2) - 8*sqrt(x^5 + x^3)*x + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 + 2*x^3 + x^2)) - 8*2^(1/4)*(x^5 + x^3)^(1/4)*(3*x^4 - 2*x^3 + 3*x^2))/(x^6 - 28*x^5 + 6*x^4 - 28*x^3 + x^2)) - 2^(1/4)*(x^4 + x^2)*log(8*(4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 + sqrt(2)*(x^4 + 2*x^3 + x^2) + 8*sqrt(x^5 + x^3)*x + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 + 2*x^3 + x^2)) + 2^(1/4)*(x^4 + x^2)*log(-8*(4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 - sqrt(2)*(x^4 + 2*x^3 + x^2) - 8*sqrt(x^5 + x^3)*x + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 + 2*x^3 + x^2)) - 32*(x^5 + x^3)^(3/4))/(x^4 + x^2)","B",0
2342,1,319,0,4.146262," ","integrate((x^3+1)^(2/3)*(x^6+x^3+2)/x^6/(x^3-2)^2,x, algorithm=""fricas"")","\frac{350 \cdot 12^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{8} - 2 \, x^{5}\right)} \log\left(\frac{18 \cdot 12^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} + 12^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{3} - 2\right)} - 36 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} x}{x^{3} - 2}\right) - 175 \cdot 12^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{8} - 2 \, x^{5}\right)} \log\left(-\frac{6 \cdot 12^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(4 \, x^{4} + x\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}} - 12^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(55 \, x^{6} + 50 \, x^{3} + 4\right)} - 18 \, {\left(7 \, x^{5} + 4 \, x^{2}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x^{6} - 4 \, x^{3} + 4}\right) - 2100 \cdot 12^{\frac{1}{6}} \left(-1\right)^{\frac{1}{3}} {\left(x^{8} - 2 \, x^{5}\right)} \arctan\left(\frac{12^{\frac{1}{6}} {\left(12 \cdot 12^{\frac{2}{3}} \left(-1\right)^{\frac{2}{3}} {\left(4 \, x^{7} - 7 \, x^{4} - 2 \, x\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}} + 36 \, \left(-1\right)^{\frac{1}{3}} {\left(55 \, x^{8} + 50 \, x^{5} + 4 \, x^{2}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}} - 12^{\frac{1}{3}} {\left(377 \, x^{9} + 600 \, x^{6} + 204 \, x^{3} + 8\right)}\right)}}{6 \, {\left(487 \, x^{9} + 480 \, x^{6} + 12 \, x^{3} - 8\right)}}\right) - 108 \, {\left(97 \, x^{6} - 102 \, x^{3} - 24\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{12960 \, {\left(x^{8} - 2 \, x^{5}\right)}}"," ",0,"1/12960*(350*12^(2/3)*(-1)^(1/3)*(x^8 - 2*x^5)*log((18*12^(1/3)*(-1)^(2/3)*(x^3 + 1)^(1/3)*x^2 + 12^(2/3)*(-1)^(1/3)*(x^3 - 2) - 36*(x^3 + 1)^(2/3)*x)/(x^3 - 2)) - 175*12^(2/3)*(-1)^(1/3)*(x^8 - 2*x^5)*log(-(6*12^(2/3)*(-1)^(1/3)*(4*x^4 + x)*(x^3 + 1)^(2/3) - 12^(1/3)*(-1)^(2/3)*(55*x^6 + 50*x^3 + 4) - 18*(7*x^5 + 4*x^2)*(x^3 + 1)^(1/3))/(x^6 - 4*x^3 + 4)) - 2100*12^(1/6)*(-1)^(1/3)*(x^8 - 2*x^5)*arctan(1/6*12^(1/6)*(12*12^(2/3)*(-1)^(2/3)*(4*x^7 - 7*x^4 - 2*x)*(x^3 + 1)^(2/3) + 36*(-1)^(1/3)*(55*x^8 + 50*x^5 + 4*x^2)*(x^3 + 1)^(1/3) - 12^(1/3)*(377*x^9 + 600*x^6 + 204*x^3 + 8))/(487*x^9 + 480*x^6 + 12*x^3 - 8)) - 108*(97*x^6 - 102*x^3 - 24)*(x^3 + 1)^(2/3))/(x^8 - 2*x^5)","B",0
2343,1,1055,0,54.933008," ","integrate((x^8+1)/(x^6+x^2)^(1/4)/(x^8-1),x, algorithm=""fricas"")","-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x\right)} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{6} + x^{2}} x + 2^{\frac{1}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) + 2^{\frac{3}{4}} {\left(x^{5} + x\right)} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} x + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) - 2^{\frac{3}{4}} {\left(x^{5} + x\right)} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} x + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) - 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x\right)} \arctan\left(-\frac{2 \, x^{9} + 8 \, x^{7} + 12 \, x^{5} + 8 \, x^{3} + 4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 6 \, x^{2} + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} + 2 \, x^{3} + x\right)} - \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{9} - 16 \, x^{7} - 2 \, x^{5} - 16 \, x^{3} + x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 6 \, x^{3} + x\right)} + 8 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} + 2 \, x^{3} + x}} + 8 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{6} - 2 \, x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 2 \, x}{2 \, {\left(x^{9} - 28 \, x^{7} + 6 \, x^{5} - 28 \, x^{3} + x\right)}}\right) + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x\right)} \arctan\left(-\frac{2 \, x^{9} + 8 \, x^{7} + 12 \, x^{5} + 8 \, x^{3} - 4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 6 \, x^{2} + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} + 2 \, x^{3} + x\right)} - \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{9} - 16 \, x^{7} - 2 \, x^{5} - 16 \, x^{3} + x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 6 \, x^{3} + x\right)} + 8 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} + 2 \, x^{3} + x}} - 8 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{6} - 2 \, x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 2 \, x}{2 \, {\left(x^{9} - 28 \, x^{7} + 6 \, x^{5} - 28 \, x^{3} + x\right)}}\right) + 2^{\frac{1}{4}} {\left(x^{5} + x\right)} \log\left(\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x^{5} + 2 \, x^{3} + x}\right) - 2^{\frac{1}{4}} {\left(x^{5} + x\right)} \log\left(-\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x^{5} + 2 \, x^{3} + x}\right) + 32 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{32 \, {\left(x^{5} + x\right)}}"," ",0,"-1/32*(4*2^(3/4)*(x^5 + x)*arctan(1/2*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + 2^(3/4)*(2*2^(3/4)*sqrt(x^6 + x^2)*x + 2^(1/4)*(x^5 + 2*x^3 + x)) + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 2^(3/4)*(x^5 + x)*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 2^(3/4)*(x^5 + 2*x^3 + x) + 4*2^(1/4)*sqrt(x^6 + x^2)*x + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) - 2^(3/4)*(x^5 + x)*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 - 2^(3/4)*(x^5 + 2*x^3 + x) - 4*2^(1/4)*sqrt(x^6 + x^2)*x + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) - 4*2^(1/4)*(x^5 + x)*arctan(-1/2*(2*x^9 + 8*x^7 + 12*x^5 + 8*x^3 + 4*2^(3/4)*(x^6 + x^2)^(3/4)*(x^4 - 6*x^2 + 1) + 8*sqrt(2)*sqrt(x^6 + x^2)*(x^5 + 2*x^3 + x) - sqrt(2)*(32*sqrt(2)*(x^6 + x^2)^(3/4)*x^2 + 2^(3/4)*(x^9 - 16*x^7 - 2*x^5 - 16*x^3 + x) + 4*2^(1/4)*sqrt(x^6 + x^2)*(x^5 - 6*x^3 + x) + 8*(x^6 + 2*x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt((4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) + 8*2^(1/4)*(3*x^6 - 2*x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 2*x)/(x^9 - 28*x^7 + 6*x^5 - 28*x^3 + x)) + 4*2^(1/4)*(x^5 + x)*arctan(-1/2*(2*x^9 + 8*x^7 + 12*x^5 + 8*x^3 - 4*2^(3/4)*(x^6 + x^2)^(3/4)*(x^4 - 6*x^2 + 1) + 8*sqrt(2)*sqrt(x^6 + x^2)*(x^5 + 2*x^3 + x) - sqrt(2)*(32*sqrt(2)*(x^6 + x^2)^(3/4)*x^2 - 2^(3/4)*(x^9 - 16*x^7 - 2*x^5 - 16*x^3 + x) - 4*2^(1/4)*sqrt(x^6 + x^2)*(x^5 - 6*x^3 + x) + 8*(x^6 + 2*x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt(-(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) - 8*2^(1/4)*(3*x^6 - 2*x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 2*x)/(x^9 - 28*x^7 + 6*x^5 - 28*x^3 + x)) + 2^(1/4)*(x^5 + x)*log(8*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) - 2^(1/4)*(x^5 + x)*log(-8*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) + 32*(x^6 + x^2)^(3/4))/(x^5 + x)","B",0
2344,1,1055,0,56.441955," ","integrate((x^8+1)/(x^6+x^2)^(1/4)/(x^8-1),x, algorithm=""fricas"")","-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x\right)} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{6} + x^{2}} x + 2^{\frac{1}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) + 2^{\frac{3}{4}} {\left(x^{5} + x\right)} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} x + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) - 2^{\frac{3}{4}} {\left(x^{5} + x\right)} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} x + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) - 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x\right)} \arctan\left(-\frac{2 \, x^{9} + 8 \, x^{7} + 12 \, x^{5} + 8 \, x^{3} + 4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 6 \, x^{2} + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} + 2 \, x^{3} + x\right)} - \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{9} - 16 \, x^{7} - 2 \, x^{5} - 16 \, x^{3} + x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 6 \, x^{3} + x\right)} + 8 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} + 2 \, x^{3} + x}} + 8 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{6} - 2 \, x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 2 \, x}{2 \, {\left(x^{9} - 28 \, x^{7} + 6 \, x^{5} - 28 \, x^{3} + x\right)}}\right) + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x\right)} \arctan\left(-\frac{2 \, x^{9} + 8 \, x^{7} + 12 \, x^{5} + 8 \, x^{3} - 4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 6 \, x^{2} + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} + 2 \, x^{3} + x\right)} - \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{9} - 16 \, x^{7} - 2 \, x^{5} - 16 \, x^{3} + x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 6 \, x^{3} + x\right)} + 8 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} + 2 \, x^{3} + x}} - 8 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{6} - 2 \, x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 2 \, x}{2 \, {\left(x^{9} - 28 \, x^{7} + 6 \, x^{5} - 28 \, x^{3} + x\right)}}\right) + 2^{\frac{1}{4}} {\left(x^{5} + x\right)} \log\left(\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x^{5} + 2 \, x^{3} + x}\right) - 2^{\frac{1}{4}} {\left(x^{5} + x\right)} \log\left(-\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x^{5} + 2 \, x^{3} + x}\right) + 32 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{32 \, {\left(x^{5} + x\right)}}"," ",0,"-1/32*(4*2^(3/4)*(x^5 + x)*arctan(1/2*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + 2^(3/4)*(2*2^(3/4)*sqrt(x^6 + x^2)*x + 2^(1/4)*(x^5 + 2*x^3 + x)) + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 2^(3/4)*(x^5 + x)*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 2^(3/4)*(x^5 + 2*x^3 + x) + 4*2^(1/4)*sqrt(x^6 + x^2)*x + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) - 2^(3/4)*(x^5 + x)*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 - 2^(3/4)*(x^5 + 2*x^3 + x) - 4*2^(1/4)*sqrt(x^6 + x^2)*x + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) - 4*2^(1/4)*(x^5 + x)*arctan(-1/2*(2*x^9 + 8*x^7 + 12*x^5 + 8*x^3 + 4*2^(3/4)*(x^6 + x^2)^(3/4)*(x^4 - 6*x^2 + 1) + 8*sqrt(2)*sqrt(x^6 + x^2)*(x^5 + 2*x^3 + x) - sqrt(2)*(32*sqrt(2)*(x^6 + x^2)^(3/4)*x^2 + 2^(3/4)*(x^9 - 16*x^7 - 2*x^5 - 16*x^3 + x) + 4*2^(1/4)*sqrt(x^6 + x^2)*(x^5 - 6*x^3 + x) + 8*(x^6 + 2*x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt((4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) + 8*2^(1/4)*(3*x^6 - 2*x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 2*x)/(x^9 - 28*x^7 + 6*x^5 - 28*x^3 + x)) + 4*2^(1/4)*(x^5 + x)*arctan(-1/2*(2*x^9 + 8*x^7 + 12*x^5 + 8*x^3 - 4*2^(3/4)*(x^6 + x^2)^(3/4)*(x^4 - 6*x^2 + 1) + 8*sqrt(2)*sqrt(x^6 + x^2)*(x^5 + 2*x^3 + x) - sqrt(2)*(32*sqrt(2)*(x^6 + x^2)^(3/4)*x^2 - 2^(3/4)*(x^9 - 16*x^7 - 2*x^5 - 16*x^3 + x) - 4*2^(1/4)*sqrt(x^6 + x^2)*(x^5 - 6*x^3 + x) + 8*(x^6 + 2*x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt(-(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) - 8*2^(1/4)*(3*x^6 - 2*x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 2*x)/(x^9 - 28*x^7 + 6*x^5 - 28*x^3 + x)) + 2^(1/4)*(x^5 + x)*log(8*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) - 2^(1/4)*(x^5 + x)*log(-8*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) + 32*(x^6 + x^2)^(3/4))/(x^5 + x)","B",0
2345,-1,0,0,0.000000," ","integrate(x^2*(8-7*(1+k)*x+6*k*x^2)/((1-x)*x*(-k*x+1))^(1/3)/(-b+b*(1+k)*x-b*k*x^2+x^8),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2346,1,248,0,0.564733," ","integrate(1/(x^2+1)^2/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{12 \, \sqrt{2} {\left(x^{2} + 1\right)} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + x + \sqrt{x^{2} + 1} + 1} - \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} - 1\right) + 12 \, \sqrt{2} {\left(x^{2} + 1\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, x + 4 \, \sqrt{x^{2} + 1} + 4} - \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + 1\right) - 3 \, \sqrt{2} {\left(x^{2} + 1\right)} \log\left(4 \, \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, x + 4 \, \sqrt{x^{2} + 1} + 4\right) + 3 \, \sqrt{2} {\left(x^{2} + 1\right)} \log\left(-4 \, \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, x + 4 \, \sqrt{x^{2} + 1} + 4\right) + 4 \, {\left(3 \, x^{2} - 3 \, \sqrt{x^{2} + 1} x + 1\right)} \sqrt{x + \sqrt{x^{2} + 1}}}{16 \, {\left(x^{2} + 1\right)}}"," ",0,"-1/16*(12*sqrt(2)*(x^2 + 1)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + x + sqrt(x^2 + 1) + 1) - sqrt(2)*sqrt(x + sqrt(x^2 + 1)) - 1) + 12*sqrt(2)*(x^2 + 1)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + 4*x + 4*sqrt(x^2 + 1) + 4) - sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + 1) - 3*sqrt(2)*(x^2 + 1)*log(4*sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + 4*x + 4*sqrt(x^2 + 1) + 4) + 3*sqrt(2)*(x^2 + 1)*log(-4*sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + 4*x + 4*sqrt(x^2 + 1) + 4) + 4*(3*x^2 - 3*sqrt(x^2 + 1)*x + 1)*sqrt(x + sqrt(x^2 + 1)))/(x^2 + 1)","A",0
2347,-1,0,0,0.000000," ","integrate(x*(-a+x)*(a*b+(a-2*b)*x)/(x*(-a+x)*(-b+x)^2)^(3/4)/(b^2*d+(-2*b*d+a)*x+(-1+d)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2348,1,723,0,0.987816," ","integrate((x^2+1)*(x^4-3*x^2+1)/x^2/((2*x^2+x-2)/(x^2+x-1))^(1/2)/(x^4+x^3-3*x^2-x+1),x, algorithm=""fricas"")","\frac{4 \, x \sqrt{2 \, \sqrt{5} + 10} \log\left(\frac{{\left(20575 \, x^{4} + 50235 \, x^{3} - 15795 \, x^{2} - \sqrt{5} {\left(10237 \, x^{4} + 22677 \, x^{3} - 9661 \, x^{2} - 22677 \, x + 10237\right)} - 50235 \, x + 20575\right)} \sqrt{2 \, \sqrt{5} + 10} + 20 \, {\left(1627 \, x^{4} + 4593 \, x^{3} - 288 \, x^{2} - \sqrt{5} {\left(861 \, x^{4} + 2105 \, x^{3} - 478 \, x^{2} - 2105 \, x + 861\right)} - 4593 \, x + 1627\right)} \sqrt{\frac{2 \, x^{2} + x - 2}{x^{2} + x - 1}}}{x^{4} + x^{3} - 3 \, x^{2} - x + 1}\right) - 4 \, x \sqrt{2 \, \sqrt{5} + 10} \log\left(-\frac{{\left(20575 \, x^{4} + 50235 \, x^{3} - 15795 \, x^{2} - \sqrt{5} {\left(10237 \, x^{4} + 22677 \, x^{3} - 9661 \, x^{2} - 22677 \, x + 10237\right)} - 50235 \, x + 20575\right)} \sqrt{2 \, \sqrt{5} + 10} - 20 \, {\left(1627 \, x^{4} + 4593 \, x^{3} - 288 \, x^{2} - \sqrt{5} {\left(861 \, x^{4} + 2105 \, x^{3} - 478 \, x^{2} - 2105 \, x + 861\right)} - 4593 \, x + 1627\right)} \sqrt{\frac{2 \, x^{2} + x - 2}{x^{2} + x - 1}}}{x^{4} + x^{3} - 3 \, x^{2} - x + 1}\right) + 4 \, x \sqrt{-2 \, \sqrt{5} + 10} \log\left(\frac{{\left(20575 \, x^{4} + 50235 \, x^{3} - 15795 \, x^{2} + \sqrt{5} {\left(10237 \, x^{4} + 22677 \, x^{3} - 9661 \, x^{2} - 22677 \, x + 10237\right)} - 50235 \, x + 20575\right)} \sqrt{-2 \, \sqrt{5} + 10} + 20 \, {\left(1627 \, x^{4} + 4593 \, x^{3} - 288 \, x^{2} + \sqrt{5} {\left(861 \, x^{4} + 2105 \, x^{3} - 478 \, x^{2} - 2105 \, x + 861\right)} - 4593 \, x + 1627\right)} \sqrt{\frac{2 \, x^{2} + x - 2}{x^{2} + x - 1}}}{x^{4} + x^{3} - 3 \, x^{2} - x + 1}\right) - 4 \, x \sqrt{-2 \, \sqrt{5} + 10} \log\left(-\frac{{\left(20575 \, x^{4} + 50235 \, x^{3} - 15795 \, x^{2} + \sqrt{5} {\left(10237 \, x^{4} + 22677 \, x^{3} - 9661 \, x^{2} - 22677 \, x + 10237\right)} - 50235 \, x + 20575\right)} \sqrt{-2 \, \sqrt{5} + 10} - 20 \, {\left(1627 \, x^{4} + 4593 \, x^{3} - 288 \, x^{2} + \sqrt{5} {\left(861 \, x^{4} + 2105 \, x^{3} - 478 \, x^{2} - 2105 \, x + 861\right)} - 4593 \, x + 1627\right)} \sqrt{\frac{2 \, x^{2} + x - 2}{x^{2} + x - 1}}}{x^{4} + x^{3} - 3 \, x^{2} - x + 1}\right) + 15 \, \sqrt{2} x \log\left(-\frac{32 \, x^{4} + 48 \, x^{3} - 47 \, x^{2} - 4 \, \sqrt{2} {\left(4 \, x^{4} + 7 \, x^{3} - 5 \, x^{2} - 7 \, x + 4\right)} \sqrt{\frac{2 \, x^{2} + x - 2}{x^{2} + x - 1}} - 48 \, x + 32}{x^{2}}\right) + 40 \, {\left(x^{2} + x - 1\right)} \sqrt{\frac{2 \, x^{2} + x - 2}{x^{2} + x - 1}}}{80 \, x}"," ",0,"1/80*(4*x*sqrt(2*sqrt(5) + 10)*log(((20575*x^4 + 50235*x^3 - 15795*x^2 - sqrt(5)*(10237*x^4 + 22677*x^3 - 9661*x^2 - 22677*x + 10237) - 50235*x + 20575)*sqrt(2*sqrt(5) + 10) + 20*(1627*x^4 + 4593*x^3 - 288*x^2 - sqrt(5)*(861*x^4 + 2105*x^3 - 478*x^2 - 2105*x + 861) - 4593*x + 1627)*sqrt((2*x^2 + x - 2)/(x^2 + x - 1)))/(x^4 + x^3 - 3*x^2 - x + 1)) - 4*x*sqrt(2*sqrt(5) + 10)*log(-((20575*x^4 + 50235*x^3 - 15795*x^2 - sqrt(5)*(10237*x^4 + 22677*x^3 - 9661*x^2 - 22677*x + 10237) - 50235*x + 20575)*sqrt(2*sqrt(5) + 10) - 20*(1627*x^4 + 4593*x^3 - 288*x^2 - sqrt(5)*(861*x^4 + 2105*x^3 - 478*x^2 - 2105*x + 861) - 4593*x + 1627)*sqrt((2*x^2 + x - 2)/(x^2 + x - 1)))/(x^4 + x^3 - 3*x^2 - x + 1)) + 4*x*sqrt(-2*sqrt(5) + 10)*log(((20575*x^4 + 50235*x^3 - 15795*x^2 + sqrt(5)*(10237*x^4 + 22677*x^3 - 9661*x^2 - 22677*x + 10237) - 50235*x + 20575)*sqrt(-2*sqrt(5) + 10) + 20*(1627*x^4 + 4593*x^3 - 288*x^2 + sqrt(5)*(861*x^4 + 2105*x^3 - 478*x^2 - 2105*x + 861) - 4593*x + 1627)*sqrt((2*x^2 + x - 2)/(x^2 + x - 1)))/(x^4 + x^3 - 3*x^2 - x + 1)) - 4*x*sqrt(-2*sqrt(5) + 10)*log(-((20575*x^4 + 50235*x^3 - 15795*x^2 + sqrt(5)*(10237*x^4 + 22677*x^3 - 9661*x^2 - 22677*x + 10237) - 50235*x + 20575)*sqrt(-2*sqrt(5) + 10) - 20*(1627*x^4 + 4593*x^3 - 288*x^2 + sqrt(5)*(861*x^4 + 2105*x^3 - 478*x^2 - 2105*x + 861) - 4593*x + 1627)*sqrt((2*x^2 + x - 2)/(x^2 + x - 1)))/(x^4 + x^3 - 3*x^2 - x + 1)) + 15*sqrt(2)*x*log(-(32*x^4 + 48*x^3 - 47*x^2 - 4*sqrt(2)*(4*x^4 + 7*x^3 - 5*x^2 - 7*x + 4)*sqrt((2*x^2 + x - 2)/(x^2 + x - 1)) - 48*x + 32)/x^2) + 40*(x^2 + x - 1)*sqrt((2*x^2 + x - 2)/(x^2 + x - 1)))/x","B",0
2349,-1,0,0,0.000000," ","integrate(x^3*(5-4*(1+k)*x+3*k*x^2)/((1-x)*x*(-k*x+1))^(2/3)/(-1+(1+k)*x-k*x^2+b*x^5),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2350,1,60,0,0.673460," ","integrate((x^4-2)*(x^4+2)^(1/2)/(x^8+3*x^4+4),x, algorithm=""fricas"")","-\frac{1}{4} \, \arctan\left(\frac{2 \, \sqrt{x^{4} + 2} x}{x^{4} - x^{2} + 2}\right) + \frac{1}{4} \, \log\left(\frac{x^{4} + x^{2} - 2 \, \sqrt{x^{4} + 2} x + 2}{x^{4} - x^{2} + 2}\right)"," ",0,"-1/4*arctan(2*sqrt(x^4 + 2)*x/(x^4 - x^2 + 2)) + 1/4*log((x^4 + x^2 - 2*sqrt(x^4 + 2)*x + 2)/(x^4 - x^2 + 2))","B",0
2351,1,399,0,0.619334," ","integrate((x^8-5*x^7+7*x^6+2*x^5-10*x^4+2*x^3+5*x^2-x-1)^(1/3)/x^2,x, algorithm=""fricas"")","-\frac{10 \, \sqrt{3} {\left(x^{3} - x^{2} - x\right)} \arctan\left(-\frac{\sqrt{3} {\left(x^{3} - 2 \, x^{2} + 1\right)} - 2 \, \sqrt{3} {\left(x^{8} - 5 \, x^{7} + 7 \, x^{6} + 2 \, x^{5} - 10 \, x^{4} + 2 \, x^{3} + 5 \, x^{2} - x - 1\right)}^{\frac{1}{3}}}{3 \, {\left(x^{3} - 2 \, x^{2} + 1\right)}}\right) - 5 \, {\left(x^{3} - x^{2} - x\right)} \log\left(\frac{x^{6} - 4 \, x^{5} + 4 \, x^{4} + 2 \, x^{3} - 4 \, x^{2} - {\left(x^{8} - 5 \, x^{7} + 7 \, x^{6} + 2 \, x^{5} - 10 \, x^{4} + 2 \, x^{3} + 5 \, x^{2} - x - 1\right)}^{\frac{1}{3}} {\left(x^{3} - 2 \, x^{2} + 1\right)} + {\left(x^{8} - 5 \, x^{7} + 7 \, x^{6} + 2 \, x^{5} - 10 \, x^{4} + 2 \, x^{3} + 5 \, x^{2} - x - 1\right)}^{\frac{2}{3}} + 1}{x^{6} - 4 \, x^{5} + 4 \, x^{4} + 2 \, x^{3} - 4 \, x^{2} + 1}\right) + 10 \, {\left(x^{3} - x^{2} - x\right)} \log\left(\frac{x^{3} - 2 \, x^{2} + {\left(x^{8} - 5 \, x^{7} + 7 \, x^{6} + 2 \, x^{5} - 10 \, x^{4} + 2 \, x^{3} + 5 \, x^{2} - x - 1\right)}^{\frac{1}{3}} + 1}{x^{3} - 2 \, x^{2} + 1}\right) - 3 \, {\left(x^{8} - 5 \, x^{7} + 7 \, x^{6} + 2 \, x^{5} - 10 \, x^{4} + 2 \, x^{3} + 5 \, x^{2} - x - 1\right)}^{\frac{1}{3}} {\left(6 \, x^{2} - 21 \, x + 10\right)}}{30 \, {\left(x^{3} - x^{2} - x\right)}}"," ",0,"-1/30*(10*sqrt(3)*(x^3 - x^2 - x)*arctan(-1/3*(sqrt(3)*(x^3 - 2*x^2 + 1) - 2*sqrt(3)*(x^8 - 5*x^7 + 7*x^6 + 2*x^5 - 10*x^4 + 2*x^3 + 5*x^2 - x - 1)^(1/3))/(x^3 - 2*x^2 + 1)) - 5*(x^3 - x^2 - x)*log((x^6 - 4*x^5 + 4*x^4 + 2*x^3 - 4*x^2 - (x^8 - 5*x^7 + 7*x^6 + 2*x^5 - 10*x^4 + 2*x^3 + 5*x^2 - x - 1)^(1/3)*(x^3 - 2*x^2 + 1) + (x^8 - 5*x^7 + 7*x^6 + 2*x^5 - 10*x^4 + 2*x^3 + 5*x^2 - x - 1)^(2/3) + 1)/(x^6 - 4*x^5 + 4*x^4 + 2*x^3 - 4*x^2 + 1)) + 10*(x^3 - x^2 - x)*log((x^3 - 2*x^2 + (x^8 - 5*x^7 + 7*x^6 + 2*x^5 - 10*x^4 + 2*x^3 + 5*x^2 - x - 1)^(1/3) + 1)/(x^3 - 2*x^2 + 1)) - 3*(x^8 - 5*x^7 + 7*x^6 + 2*x^5 - 10*x^4 + 2*x^3 + 5*x^2 - x - 1)^(1/3)*(6*x^2 - 21*x + 10))/(x^3 - x^2 - x)","B",0
2352,-1,0,0,0.000000," ","integrate((a^2*x^2-b)*(a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(a^2*x^4+b)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2353,-2,0,0,0.000000," ","integrate((1+x)^(1/2)/(x+(x+(1+x)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
2354,-2,0,0,0.000000," ","integrate((1+x)^(1/2)/(x+(x+(1+x)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
2355,1,250,0,1.199480," ","integrate((-I+k^(1/2)*x)/(I+k^(1/2)*x)/((-x^2+1)*(-k^2*x^2+1))^(1/2),x, algorithm=""fricas"")","\frac{i \, \log\left(\frac{{\left(-i \, k^{6} - 5 i \, k^{5} - 10 i \, k^{4} - 10 i \, k^{3} - 5 i \, k^{2} - i \, k\right)} x^{3} + {\left(i \, k^{5} + 5 i \, k^{4} + 10 i \, k^{3} + 10 i \, k^{2} + 5 i \, k + i\right)} x + \sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1} {\left(k^{4} + 4 \, k^{3} - {\left(k^{5} + 4 \, k^{4} + 6 \, k^{3} + 4 \, k^{2} + k\right)} x^{2} - 2 \, {\left(-i \, k^{4} - 4 i \, k^{3} - 6 i \, k^{2} - 4 i \, k - i\right)} \sqrt{k} x + 6 \, k^{2} + 4 \, k + 1\right)} + 2 \, {\left({\left(k^{5} + 3 \, k^{4} + 3 \, k^{3} + k^{2}\right)} x^{4} + k^{3} - {\left(k^{5} + 3 \, k^{4} + 4 \, k^{3} + 4 \, k^{2} + 3 \, k + 1\right)} x^{2} + 3 \, k^{2} + 3 \, k + 1\right)} \sqrt{k}}{4 \, {\left(k^{5} x^{4} + 2 \, k^{4} x^{2} + k^{3}\right)}}\right)}{k + 1}"," ",0,"I*log(1/4*((-I*k^6 - 5*I*k^5 - 10*I*k^4 - 10*I*k^3 - 5*I*k^2 - I*k)*x^3 + (I*k^5 + 5*I*k^4 + 10*I*k^3 + 10*I*k^2 + 5*I*k + I)*x + sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)*(k^4 + 4*k^3 - (k^5 + 4*k^4 + 6*k^3 + 4*k^2 + k)*x^2 - 2*(-I*k^4 - 4*I*k^3 - 6*I*k^2 - 4*I*k - I)*sqrt(k)*x + 6*k^2 + 4*k + 1) + 2*((k^5 + 3*k^4 + 3*k^3 + k^2)*x^4 + k^3 - (k^5 + 3*k^4 + 4*k^3 + 4*k^2 + 3*k + 1)*x^2 + 3*k^2 + 3*k + 1)*sqrt(k))/(k^5*x^4 + 2*k^4*x^2 + k^3))/(k + 1)","A",0
2356,1,250,0,1.264914," ","integrate((I+k^(1/2)*x)/(-I+k^(1/2)*x)/((-x^2+1)*(-k^2*x^2+1))^(1/2),x, algorithm=""fricas"")","\frac{i \, \log\left(\frac{{\left(-i \, k^{6} - 5 i \, k^{5} - 10 i \, k^{4} - 10 i \, k^{3} - 5 i \, k^{2} - i \, k\right)} x^{3} + {\left(i \, k^{5} + 5 i \, k^{4} + 10 i \, k^{3} + 10 i \, k^{2} + 5 i \, k + i\right)} x + \sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1} {\left(k^{4} + 4 \, k^{3} - {\left(k^{5} + 4 \, k^{4} + 6 \, k^{3} + 4 \, k^{2} + k\right)} x^{2} - 2 \, {\left(i \, k^{4} + 4 i \, k^{3} + 6 i \, k^{2} + 4 i \, k + i\right)} \sqrt{k} x + 6 \, k^{2} + 4 \, k + 1\right)} - 2 \, {\left({\left(k^{5} + 3 \, k^{4} + 3 \, k^{3} + k^{2}\right)} x^{4} + k^{3} - {\left(k^{5} + 3 \, k^{4} + 4 \, k^{3} + 4 \, k^{2} + 3 \, k + 1\right)} x^{2} + 3 \, k^{2} + 3 \, k + 1\right)} \sqrt{k}}{4 \, {\left(k^{5} x^{4} + 2 \, k^{4} x^{2} + k^{3}\right)}}\right)}{k + 1}"," ",0,"I*log(1/4*((-I*k^6 - 5*I*k^5 - 10*I*k^4 - 10*I*k^3 - 5*I*k^2 - I*k)*x^3 + (I*k^5 + 5*I*k^4 + 10*I*k^3 + 10*I*k^2 + 5*I*k + I)*x + sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)*(k^4 + 4*k^3 - (k^5 + 4*k^4 + 6*k^3 + 4*k^2 + k)*x^2 - 2*(I*k^4 + 4*I*k^3 + 6*I*k^2 + 4*I*k + I)*sqrt(k)*x + 6*k^2 + 4*k + 1) - 2*((k^5 + 3*k^4 + 3*k^3 + k^2)*x^4 + k^3 - (k^5 + 3*k^4 + 4*k^3 + 4*k^2 + 3*k + 1)*x^2 + 3*k^2 + 3*k + 1)*sqrt(k))/(k^5*x^4 + 2*k^4*x^2 + k^3))/(k + 1)","A",0
2357,-1,0,0,0.000000," ","integrate(1/(x^3-3*x^2+3*x-1)^(1/4)/(3*x^3+x^2-2*x-1)^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2358,1,730,0,0.543968," ","integrate((a*x^4+b*x^3)^(1/4)/x^2/(c*x^2-d),x, algorithm=""fricas"")","-\frac{4 \, d x \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(d^{8} x \sqrt{\frac{b^{2} c}{d^{9}}} - a d^{4} x\right)} \sqrt{\frac{d^{2} x^{2} \sqrt{\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}} + \sqrt{a x^{4} + b x^{3}}}{x^{2}}} \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{3}{4}} - {\left(d^{8} \sqrt{\frac{b^{2} c}{d^{9}}} - a d^{4}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{3}{4}}}{{\left(b^{2} c - a^{2} d\right)} x}\right) - 4 \, d x \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(d^{8} x \sqrt{\frac{b^{2} c}{d^{9}}} + a d^{4} x\right)} \sqrt{\frac{d^{2} x^{2} \sqrt{-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}} + \sqrt{a x^{4} + b x^{3}}}{x^{2}}} \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{3}{4}} - {\left(d^{8} \sqrt{\frac{b^{2} c}{d^{9}}} + a d^{4}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{3}{4}}}{{\left(b^{2} c - a^{2} d\right)} x}\right) + d x \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{1}{4}} \log\left(\frac{d x \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{1}{4}} + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - d x \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{1}{4}} \log\left(-\frac{d x \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{1}{4}} - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + d x \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{1}{4}} \log\left(\frac{d x \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{1}{4}} + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - d x \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{1}{4}} \log\left(-\frac{d x \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{1}{4}} - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - 8 \, {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{2 \, d x}"," ",0,"-1/2*(4*d*x*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(1/4)*arctan(-((d^8*x*sqrt(b^2*c/d^9) - a*d^4*x)*sqrt((d^2*x^2*sqrt((d^4*sqrt(b^2*c/d^9) + a)/d^4) + sqrt(a*x^4 + b*x^3))/x^2)*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(3/4) - (d^8*sqrt(b^2*c/d^9) - a*d^4)*(a*x^4 + b*x^3)^(1/4)*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(3/4))/((b^2*c - a^2*d)*x)) - 4*d*x*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(1/4)*arctan(-((d^8*x*sqrt(b^2*c/d^9) + a*d^4*x)*sqrt((d^2*x^2*sqrt(-(d^4*sqrt(b^2*c/d^9) - a)/d^4) + sqrt(a*x^4 + b*x^3))/x^2)*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(3/4) - (d^8*sqrt(b^2*c/d^9) + a*d^4)*(a*x^4 + b*x^3)^(1/4)*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(3/4))/((b^2*c - a^2*d)*x)) + d*x*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(1/4)*log((d*x*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(1/4) + (a*x^4 + b*x^3)^(1/4))/x) - d*x*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(1/4)*log(-(d*x*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(1/4) - (a*x^4 + b*x^3)^(1/4))/x) + d*x*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(1/4)*log((d*x*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(1/4) + (a*x^4 + b*x^3)^(1/4))/x) - d*x*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(1/4)*log(-(d*x*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(1/4) - (a*x^4 + b*x^3)^(1/4))/x) - 8*(a*x^4 + b*x^3)^(1/4))/(d*x)","B",0
2359,1,730,0,0.529391," ","integrate((a*x^4+b*x^3)^(1/4)/x^2/(c*x^2-d),x, algorithm=""fricas"")","-\frac{4 \, d x \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(d^{8} x \sqrt{\frac{b^{2} c}{d^{9}}} - a d^{4} x\right)} \sqrt{\frac{d^{2} x^{2} \sqrt{\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}} + \sqrt{a x^{4} + b x^{3}}}{x^{2}}} \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{3}{4}} - {\left(d^{8} \sqrt{\frac{b^{2} c}{d^{9}}} - a d^{4}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{3}{4}}}{{\left(b^{2} c - a^{2} d\right)} x}\right) - 4 \, d x \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(d^{8} x \sqrt{\frac{b^{2} c}{d^{9}}} + a d^{4} x\right)} \sqrt{\frac{d^{2} x^{2} \sqrt{-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}} + \sqrt{a x^{4} + b x^{3}}}{x^{2}}} \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{3}{4}} - {\left(d^{8} \sqrt{\frac{b^{2} c}{d^{9}}} + a d^{4}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{3}{4}}}{{\left(b^{2} c - a^{2} d\right)} x}\right) + d x \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{1}{4}} \log\left(\frac{d x \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{1}{4}} + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - d x \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{1}{4}} \log\left(-\frac{d x \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{1}{4}} - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + d x \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{1}{4}} \log\left(\frac{d x \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{1}{4}} + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - d x \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{1}{4}} \log\left(-\frac{d x \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{1}{4}} - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - 8 \, {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{2 \, d x}"," ",0,"-1/2*(4*d*x*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(1/4)*arctan(-((d^8*x*sqrt(b^2*c/d^9) - a*d^4*x)*sqrt((d^2*x^2*sqrt((d^4*sqrt(b^2*c/d^9) + a)/d^4) + sqrt(a*x^4 + b*x^3))/x^2)*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(3/4) - (d^8*sqrt(b^2*c/d^9) - a*d^4)*(a*x^4 + b*x^3)^(1/4)*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(3/4))/((b^2*c - a^2*d)*x)) - 4*d*x*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(1/4)*arctan(-((d^8*x*sqrt(b^2*c/d^9) + a*d^4*x)*sqrt((d^2*x^2*sqrt(-(d^4*sqrt(b^2*c/d^9) - a)/d^4) + sqrt(a*x^4 + b*x^3))/x^2)*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(3/4) - (d^8*sqrt(b^2*c/d^9) + a*d^4)*(a*x^4 + b*x^3)^(1/4)*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(3/4))/((b^2*c - a^2*d)*x)) + d*x*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(1/4)*log((d*x*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(1/4) + (a*x^4 + b*x^3)^(1/4))/x) - d*x*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(1/4)*log(-(d*x*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(1/4) - (a*x^4 + b*x^3)^(1/4))/x) + d*x*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(1/4)*log((d*x*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(1/4) + (a*x^4 + b*x^3)^(1/4))/x) - d*x*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(1/4)*log(-(d*x*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(1/4) - (a*x^4 + b*x^3)^(1/4))/x) - 8*(a*x^4 + b*x^3)^(1/4))/(d*x)","B",0
2360,1,765,0,6.502184," ","integrate(x^4/(x^6+x^2)^(1/4)/(x^8-1),x, algorithm=""fricas"")","\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x\right)} \arctan\left(\frac{2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)}}{2 \, {\left(x^{5} + x\right)}}\right) - 2^{\frac{3}{4}} {\left(x^{5} + x\right)} \log\left(\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \, \sqrt{x^{6} + x^{2}} x}{x^{5} - 2 \, x^{3} + x}\right) + 2^{\frac{3}{4}} {\left(x^{5} + x\right)} \log\left(-\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \, \sqrt{x^{6} + x^{2}} x}{x^{5} - 2 \, x^{3} + x}\right) - 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x\right)} \arctan\left(\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \, \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)} \sqrt{\frac{x^{5} + 2 \, x^{3} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x}{x^{5} + 2 \, x^{3} + x}} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) - 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x\right)} \arctan\left(\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \, \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)} \sqrt{\frac{x^{5} + 2 \, x^{3} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x - 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x}{x^{5} + 2 \, x^{3} + x}} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) - 2^{\frac{1}{4}} {\left(x^{5} + x\right)} \log\left(\frac{2 \, {\left(x^{5} + 2 \, x^{3} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x\right)}}{x^{5} + 2 \, x^{3} + x}\right) + 2^{\frac{1}{4}} {\left(x^{5} + x\right)} \log\left(\frac{2 \, {\left(x^{5} + 2 \, x^{3} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x - 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x\right)}}{x^{5} + 2 \, x^{3} + x}\right) + 32 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{64 \, {\left(x^{5} + x\right)}}"," ",0,"1/64*(4*2^(3/4)*(x^5 + x)*arctan(1/2*2^(3/4)*(x^6 + x^2)^(1/4)*(x^4 + 1)/(x^5 + x)) - 2^(3/4)*(x^5 + x)*log((4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 2*2^(3/4)*(x^6 + x^2)^(3/4) + sqrt(2)*(x^5 + 2*x^3 + x) + 4*sqrt(x^6 + x^2)*x)/(x^5 - 2*x^3 + x)) + 2^(3/4)*(x^5 + x)*log(-(4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 2*2^(3/4)*(x^6 + x^2)^(3/4) - sqrt(2)*(x^5 + 2*x^3 + x) - 4*sqrt(x^6 + x^2)*x)/(x^5 - 2*x^3 + x)) - 4*2^(1/4)*(x^5 + x)*arctan(1/2*(4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(2*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 4*sqrt(x^6 + x^2)*x + 2*2^(1/4)*(x^6 + x^2)^(3/4))*sqrt((x^5 + 2*x^3 + 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x + 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) + 2*2^(3/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) - 4*2^(1/4)*(x^5 + x)*arctan(1/2*(4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(2*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 4*sqrt(x^6 + x^2)*x + 2*2^(1/4)*(x^6 + x^2)^(3/4))*sqrt((x^5 + 2*x^3 - 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x - 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) + 2*2^(3/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) - 2^(1/4)*(x^5 + x)*log(2*(x^5 + 2*x^3 + 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x + 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) + 2^(1/4)*(x^5 + x)*log(2*(x^5 + 2*x^3 - 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x - 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) + 32*(x^6 + x^2)^(3/4))/(x^5 + x)","B",0
2361,1,765,0,6.594214," ","integrate(x^4/(x^6+x^2)^(1/4)/(x^8-1),x, algorithm=""fricas"")","\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x\right)} \arctan\left(\frac{2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)}}{2 \, {\left(x^{5} + x\right)}}\right) - 2^{\frac{3}{4}} {\left(x^{5} + x\right)} \log\left(\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \, \sqrt{x^{6} + x^{2}} x}{x^{5} - 2 \, x^{3} + x}\right) + 2^{\frac{3}{4}} {\left(x^{5} + x\right)} \log\left(-\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \, \sqrt{x^{6} + x^{2}} x}{x^{5} - 2 \, x^{3} + x}\right) - 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x\right)} \arctan\left(\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \, \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)} \sqrt{\frac{x^{5} + 2 \, x^{3} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x}{x^{5} + 2 \, x^{3} + x}} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) - 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x\right)} \arctan\left(\frac{4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \, \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)} \sqrt{\frac{x^{5} + 2 \, x^{3} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x - 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x}{x^{5} + 2 \, x^{3} + x}} + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) - 2^{\frac{1}{4}} {\left(x^{5} + x\right)} \log\left(\frac{2 \, {\left(x^{5} + 2 \, x^{3} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x + 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x\right)}}{x^{5} + 2 \, x^{3} + x}\right) + 2^{\frac{1}{4}} {\left(x^{5} + x\right)} \log\left(\frac{2 \, {\left(x^{5} + 2 \, x^{3} - 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 4 \, \sqrt{2} \sqrt{x^{6} + x^{2}} x - 2 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} + x\right)}}{x^{5} + 2 \, x^{3} + x}\right) + 32 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{64 \, {\left(x^{5} + x\right)}}"," ",0,"1/64*(4*2^(3/4)*(x^5 + x)*arctan(1/2*2^(3/4)*(x^6 + x^2)^(1/4)*(x^4 + 1)/(x^5 + x)) - 2^(3/4)*(x^5 + x)*log((4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 2*2^(3/4)*(x^6 + x^2)^(3/4) + sqrt(2)*(x^5 + 2*x^3 + x) + 4*sqrt(x^6 + x^2)*x)/(x^5 - 2*x^3 + x)) + 2^(3/4)*(x^5 + x)*log(-(4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 2*2^(3/4)*(x^6 + x^2)^(3/4) - sqrt(2)*(x^5 + 2*x^3 + x) - 4*sqrt(x^6 + x^2)*x)/(x^5 - 2*x^3 + x)) - 4*2^(1/4)*(x^5 + x)*arctan(1/2*(4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(2*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 4*sqrt(x^6 + x^2)*x + 2*2^(1/4)*(x^6 + x^2)^(3/4))*sqrt((x^5 + 2*x^3 + 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x + 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) + 2*2^(3/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) - 4*2^(1/4)*(x^5 + x)*arctan(1/2*(4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(2*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 4*sqrt(x^6 + x^2)*x + 2*2^(1/4)*(x^6 + x^2)^(3/4))*sqrt((x^5 + 2*x^3 - 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x - 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) + 2*2^(3/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) - 2^(1/4)*(x^5 + x)*log(2*(x^5 + 2*x^3 + 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x + 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) + 2^(1/4)*(x^5 + x)*log(2*(x^5 + 2*x^3 - 4*2^(1/4)*(x^6 + x^2)^(1/4)*x^2 + 4*sqrt(2)*sqrt(x^6 + x^2)*x - 2*2^(3/4)*(x^6 + x^2)^(3/4) + x)/(x^5 + 2*x^3 + x)) + 32*(x^6 + x^2)^(3/4))/(x^5 + x)","B",0
2362,1,1348,0,18.429920," ","integrate((x^4-1)*(x^6+x^2)^(1/4)/(x^8-x^4+1),x, algorithm=""fricas"")","-\frac{1}{108} \cdot 27^{\frac{7}{8}} \sqrt{2} \arctan\left(\frac{\sqrt{3} {\left(27^{\frac{3}{4}} {\left(x^{9} + 5 \, x^{5} + x\right)} + 3 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(27^{\frac{5}{8}} \sqrt{2} x^{2} + 3 \cdot 27^{\frac{1}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} + 18 \, \sqrt{x^{6} + x^{2}} {\left(3 \, x^{3} + \sqrt{3} {\left(x^{5} + x\right)}\right)} + 18 \cdot 27^{\frac{1}{4}} {\left(x^{7} + x^{3}\right)} + {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(9 \cdot 27^{\frac{3}{8}} \sqrt{2} x^{4} + 27^{\frac{7}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}\right)} \sqrt{\frac{2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(9 \cdot 27^{\frac{3}{8}} \sqrt{2} x^{2} - 27^{\frac{7}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} + 9 \, \sqrt{3} {\left(x^{9} - x^{5} + x\right)} - 12 \, \sqrt{x^{6} + x^{2}} {\left(27^{\frac{3}{4}} x^{3} - 3 \cdot 27^{\frac{1}{4}} {\left(x^{5} + x\right)}\right)} + 6 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(9 \cdot 27^{\frac{1}{8}} \sqrt{2} x^{4} - 27^{\frac{5}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}}{x^{9} - x^{5} + x}} + 9 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(27^{\frac{7}{8}} \sqrt{2} x^{2} + 3 \cdot 27^{\frac{3}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} + 27 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(27^{\frac{5}{8}} \sqrt{2} x^{4} + 3 \cdot 27^{\frac{1}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}}{81 \, {\left(x^{9} - x^{5} + x\right)}}\right) - \frac{1}{108} \cdot 27^{\frac{7}{8}} \sqrt{2} \arctan\left(-\frac{\sqrt{3} {\left(27^{\frac{3}{4}} {\left(x^{9} + 5 \, x^{5} + x\right)} - 3 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(27^{\frac{5}{8}} \sqrt{2} x^{2} + 3 \cdot 27^{\frac{1}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} + 18 \, \sqrt{x^{6} + x^{2}} {\left(3 \, x^{3} + \sqrt{3} {\left(x^{5} + x\right)}\right)} + 18 \cdot 27^{\frac{1}{4}} {\left(x^{7} + x^{3}\right)} - {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(9 \cdot 27^{\frac{3}{8}} \sqrt{2} x^{4} + 27^{\frac{7}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}\right)} \sqrt{-\frac{2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(9 \cdot 27^{\frac{3}{8}} \sqrt{2} x^{2} - 27^{\frac{7}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} - 9 \, \sqrt{3} {\left(x^{9} - x^{5} + x\right)} + 12 \, \sqrt{x^{6} + x^{2}} {\left(27^{\frac{3}{4}} x^{3} - 3 \cdot 27^{\frac{1}{4}} {\left(x^{5} + x\right)}\right)} + 6 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(9 \cdot 27^{\frac{1}{8}} \sqrt{2} x^{4} - 27^{\frac{5}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}}{x^{9} - x^{5} + x}} - 9 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(27^{\frac{7}{8}} \sqrt{2} x^{2} + 3 \cdot 27^{\frac{3}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} - 27 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(27^{\frac{5}{8}} \sqrt{2} x^{4} + 3 \cdot 27^{\frac{1}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}}{81 \, {\left(x^{9} - x^{5} + x\right)}}\right) - \frac{1}{432} \cdot 27^{\frac{7}{8}} \sqrt{2} \log\left(\frac{3 \, {\left(2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(9 \cdot 27^{\frac{3}{8}} \sqrt{2} x^{2} - 27^{\frac{7}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} + 9 \, \sqrt{3} {\left(x^{9} - x^{5} + x\right)} - 12 \, \sqrt{x^{6} + x^{2}} {\left(27^{\frac{3}{4}} x^{3} - 3 \cdot 27^{\frac{1}{4}} {\left(x^{5} + x\right)}\right)} + 6 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(9 \cdot 27^{\frac{1}{8}} \sqrt{2} x^{4} - 27^{\frac{5}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}\right)}}{x^{9} - x^{5} + x}\right) + \frac{1}{432} \cdot 27^{\frac{7}{8}} \sqrt{2} \log\left(-\frac{3 \, {\left(2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(9 \cdot 27^{\frac{3}{8}} \sqrt{2} x^{2} - 27^{\frac{7}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} - 9 \, \sqrt{3} {\left(x^{9} - x^{5} + x\right)} + 12 \, \sqrt{x^{6} + x^{2}} {\left(27^{\frac{3}{4}} x^{3} - 3 \cdot 27^{\frac{1}{4}} {\left(x^{5} + x\right)}\right)} + 6 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(9 \cdot 27^{\frac{1}{8}} \sqrt{2} x^{4} - 27^{\frac{5}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}\right)}}{x^{9} - x^{5} + x}\right) - \frac{1}{54} \cdot 27^{\frac{7}{8}} \arctan\left(\frac{27^{\frac{5}{8}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)} + 3^{\frac{3}{4}} {\left(27^{\frac{3}{8}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)} + 3 \cdot 27^{\frac{1}{8}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)} - 3 \cdot 27^{\frac{3}{8}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{18 \, {\left(x^{5} + x\right)}}\right) - \frac{1}{216} \cdot 27^{\frac{7}{8}} \log\left(\frac{2 \cdot 27^{\frac{3}{4}} {\left(x^{7} + x^{3}\right)} + 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(9 \cdot 27^{\frac{1}{8}} x^{2} + 27^{\frac{5}{8}} {\left(x^{4} + 1\right)}\right)} + 18 \, \sqrt{x^{6} + x^{2}} {\left(x^{5} + \sqrt{3} x^{3} + x\right)} + 3 \cdot 27^{\frac{1}{4}} {\left(x^{9} + 5 \, x^{5} + x\right)} + 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(27^{\frac{7}{8}} x^{4} + 3 \cdot 27^{\frac{3}{8}} {\left(x^{6} + x^{2}\right)}\right)}}{x^{9} - x^{5} + x}\right) + \frac{1}{216} \cdot 27^{\frac{7}{8}} \log\left(\frac{2 \cdot 27^{\frac{3}{4}} {\left(x^{7} + x^{3}\right)} - 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(9 \cdot 27^{\frac{1}{8}} x^{2} + 27^{\frac{5}{8}} {\left(x^{4} + 1\right)}\right)} + 18 \, \sqrt{x^{6} + x^{2}} {\left(x^{5} + \sqrt{3} x^{3} + x\right)} + 3 \cdot 27^{\frac{1}{4}} {\left(x^{9} + 5 \, x^{5} + x\right)} - 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(27^{\frac{7}{8}} x^{4} + 3 \cdot 27^{\frac{3}{8}} {\left(x^{6} + x^{2}\right)}\right)}}{x^{9} - x^{5} + x}\right)"," ",0,"-1/108*27^(7/8)*sqrt(2)*arctan(1/81*(sqrt(3)*(27^(3/4)*(x^9 + 5*x^5 + x) + 3*(x^6 + x^2)^(3/4)*(27^(5/8)*sqrt(2)*x^2 + 3*27^(1/8)*sqrt(2)*(x^4 + 1)) + 18*sqrt(x^6 + x^2)*(3*x^3 + sqrt(3)*(x^5 + x)) + 18*27^(1/4)*(x^7 + x^3) + (x^6 + x^2)^(1/4)*(9*27^(3/8)*sqrt(2)*x^4 + 27^(7/8)*sqrt(2)*(x^6 + x^2)))*sqrt((2*(x^6 + x^2)^(3/4)*(9*27^(3/8)*sqrt(2)*x^2 - 27^(7/8)*sqrt(2)*(x^4 + 1)) + 9*sqrt(3)*(x^9 - x^5 + x) - 12*sqrt(x^6 + x^2)*(27^(3/4)*x^3 - 3*27^(1/4)*(x^5 + x)) + 6*(x^6 + x^2)^(1/4)*(9*27^(1/8)*sqrt(2)*x^4 - 27^(5/8)*sqrt(2)*(x^6 + x^2)))/(x^9 - x^5 + x)) + 9*(x^6 + x^2)^(3/4)*(27^(7/8)*sqrt(2)*x^2 + 3*27^(3/8)*sqrt(2)*(x^4 + 1)) + 27*(x^6 + x^2)^(1/4)*(27^(5/8)*sqrt(2)*x^4 + 3*27^(1/8)*sqrt(2)*(x^6 + x^2)))/(x^9 - x^5 + x)) - 1/108*27^(7/8)*sqrt(2)*arctan(-1/81*(sqrt(3)*(27^(3/4)*(x^9 + 5*x^5 + x) - 3*(x^6 + x^2)^(3/4)*(27^(5/8)*sqrt(2)*x^2 + 3*27^(1/8)*sqrt(2)*(x^4 + 1)) + 18*sqrt(x^6 + x^2)*(3*x^3 + sqrt(3)*(x^5 + x)) + 18*27^(1/4)*(x^7 + x^3) - (x^6 + x^2)^(1/4)*(9*27^(3/8)*sqrt(2)*x^4 + 27^(7/8)*sqrt(2)*(x^6 + x^2)))*sqrt(-(2*(x^6 + x^2)^(3/4)*(9*27^(3/8)*sqrt(2)*x^2 - 27^(7/8)*sqrt(2)*(x^4 + 1)) - 9*sqrt(3)*(x^9 - x^5 + x) + 12*sqrt(x^6 + x^2)*(27^(3/4)*x^3 - 3*27^(1/4)*(x^5 + x)) + 6*(x^6 + x^2)^(1/4)*(9*27^(1/8)*sqrt(2)*x^4 - 27^(5/8)*sqrt(2)*(x^6 + x^2)))/(x^9 - x^5 + x)) - 9*(x^6 + x^2)^(3/4)*(27^(7/8)*sqrt(2)*x^2 + 3*27^(3/8)*sqrt(2)*(x^4 + 1)) - 27*(x^6 + x^2)^(1/4)*(27^(5/8)*sqrt(2)*x^4 + 3*27^(1/8)*sqrt(2)*(x^6 + x^2)))/(x^9 - x^5 + x)) - 1/432*27^(7/8)*sqrt(2)*log(3*(2*(x^6 + x^2)^(3/4)*(9*27^(3/8)*sqrt(2)*x^2 - 27^(7/8)*sqrt(2)*(x^4 + 1)) + 9*sqrt(3)*(x^9 - x^5 + x) - 12*sqrt(x^6 + x^2)*(27^(3/4)*x^3 - 3*27^(1/4)*(x^5 + x)) + 6*(x^6 + x^2)^(1/4)*(9*27^(1/8)*sqrt(2)*x^4 - 27^(5/8)*sqrt(2)*(x^6 + x^2)))/(x^9 - x^5 + x)) + 1/432*27^(7/8)*sqrt(2)*log(-3*(2*(x^6 + x^2)^(3/4)*(9*27^(3/8)*sqrt(2)*x^2 - 27^(7/8)*sqrt(2)*(x^4 + 1)) - 9*sqrt(3)*(x^9 - x^5 + x) + 12*sqrt(x^6 + x^2)*(27^(3/4)*x^3 - 3*27^(1/4)*(x^5 + x)) + 6*(x^6 + x^2)^(1/4)*(9*27^(1/8)*sqrt(2)*x^4 - 27^(5/8)*sqrt(2)*(x^6 + x^2)))/(x^9 - x^5 + x)) - 1/54*27^(7/8)*arctan(1/18*(27^(5/8)*(x^6 + x^2)^(1/4)*(x^4 + 1) + 3^(3/4)*(27^(3/8)*(x^6 + x^2)^(1/4)*(x^4 + 1) + 3*27^(1/8)*(x^6 + x^2)^(3/4)) - 3*27^(3/8)*(x^6 + x^2)^(3/4))/(x^5 + x)) - 1/216*27^(7/8)*log((2*27^(3/4)*(x^7 + x^3) + 2*(x^6 + x^2)^(3/4)*(9*27^(1/8)*x^2 + 27^(5/8)*(x^4 + 1)) + 18*sqrt(x^6 + x^2)*(x^5 + sqrt(3)*x^3 + x) + 3*27^(1/4)*(x^9 + 5*x^5 + x) + 2*(x^6 + x^2)^(1/4)*(27^(7/8)*x^4 + 3*27^(3/8)*(x^6 + x^2)))/(x^9 - x^5 + x)) + 1/216*27^(7/8)*log((2*27^(3/4)*(x^7 + x^3) - 2*(x^6 + x^2)^(3/4)*(9*27^(1/8)*x^2 + 27^(5/8)*(x^4 + 1)) + 18*sqrt(x^6 + x^2)*(x^5 + sqrt(3)*x^3 + x) + 3*27^(1/4)*(x^9 + 5*x^5 + x) - 2*(x^6 + x^2)^(1/4)*(27^(7/8)*x^4 + 3*27^(3/8)*(x^6 + x^2)))/(x^9 - x^5 + x))","B",0
2363,1,1348,0,18.272626," ","integrate((x^4-1)*(x^6+x^2)^(1/4)/(x^8-x^4+1),x, algorithm=""fricas"")","-\frac{1}{108} \cdot 27^{\frac{7}{8}} \sqrt{2} \arctan\left(\frac{\sqrt{3} {\left(27^{\frac{3}{4}} {\left(x^{9} + 5 \, x^{5} + x\right)} + 3 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(27^{\frac{5}{8}} \sqrt{2} x^{2} + 3 \cdot 27^{\frac{1}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} + 18 \, \sqrt{x^{6} + x^{2}} {\left(3 \, x^{3} + \sqrt{3} {\left(x^{5} + x\right)}\right)} + 18 \cdot 27^{\frac{1}{4}} {\left(x^{7} + x^{3}\right)} + {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(9 \cdot 27^{\frac{3}{8}} \sqrt{2} x^{4} + 27^{\frac{7}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}\right)} \sqrt{\frac{2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(9 \cdot 27^{\frac{3}{8}} \sqrt{2} x^{2} - 27^{\frac{7}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} + 9 \, \sqrt{3} {\left(x^{9} - x^{5} + x\right)} - 12 \, \sqrt{x^{6} + x^{2}} {\left(27^{\frac{3}{4}} x^{3} - 3 \cdot 27^{\frac{1}{4}} {\left(x^{5} + x\right)}\right)} + 6 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(9 \cdot 27^{\frac{1}{8}} \sqrt{2} x^{4} - 27^{\frac{5}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}}{x^{9} - x^{5} + x}} + 9 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(27^{\frac{7}{8}} \sqrt{2} x^{2} + 3 \cdot 27^{\frac{3}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} + 27 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(27^{\frac{5}{8}} \sqrt{2} x^{4} + 3 \cdot 27^{\frac{1}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}}{81 \, {\left(x^{9} - x^{5} + x\right)}}\right) - \frac{1}{108} \cdot 27^{\frac{7}{8}} \sqrt{2} \arctan\left(-\frac{\sqrt{3} {\left(27^{\frac{3}{4}} {\left(x^{9} + 5 \, x^{5} + x\right)} - 3 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(27^{\frac{5}{8}} \sqrt{2} x^{2} + 3 \cdot 27^{\frac{1}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} + 18 \, \sqrt{x^{6} + x^{2}} {\left(3 \, x^{3} + \sqrt{3} {\left(x^{5} + x\right)}\right)} + 18 \cdot 27^{\frac{1}{4}} {\left(x^{7} + x^{3}\right)} - {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(9 \cdot 27^{\frac{3}{8}} \sqrt{2} x^{4} + 27^{\frac{7}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}\right)} \sqrt{-\frac{2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(9 \cdot 27^{\frac{3}{8}} \sqrt{2} x^{2} - 27^{\frac{7}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} - 9 \, \sqrt{3} {\left(x^{9} - x^{5} + x\right)} + 12 \, \sqrt{x^{6} + x^{2}} {\left(27^{\frac{3}{4}} x^{3} - 3 \cdot 27^{\frac{1}{4}} {\left(x^{5} + x\right)}\right)} + 6 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(9 \cdot 27^{\frac{1}{8}} \sqrt{2} x^{4} - 27^{\frac{5}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}}{x^{9} - x^{5} + x}} - 9 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(27^{\frac{7}{8}} \sqrt{2} x^{2} + 3 \cdot 27^{\frac{3}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} - 27 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(27^{\frac{5}{8}} \sqrt{2} x^{4} + 3 \cdot 27^{\frac{1}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}}{81 \, {\left(x^{9} - x^{5} + x\right)}}\right) - \frac{1}{432} \cdot 27^{\frac{7}{8}} \sqrt{2} \log\left(\frac{3 \, {\left(2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(9 \cdot 27^{\frac{3}{8}} \sqrt{2} x^{2} - 27^{\frac{7}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} + 9 \, \sqrt{3} {\left(x^{9} - x^{5} + x\right)} - 12 \, \sqrt{x^{6} + x^{2}} {\left(27^{\frac{3}{4}} x^{3} - 3 \cdot 27^{\frac{1}{4}} {\left(x^{5} + x\right)}\right)} + 6 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(9 \cdot 27^{\frac{1}{8}} \sqrt{2} x^{4} - 27^{\frac{5}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}\right)}}{x^{9} - x^{5} + x}\right) + \frac{1}{432} \cdot 27^{\frac{7}{8}} \sqrt{2} \log\left(-\frac{3 \, {\left(2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(9 \cdot 27^{\frac{3}{8}} \sqrt{2} x^{2} - 27^{\frac{7}{8}} \sqrt{2} {\left(x^{4} + 1\right)}\right)} - 9 \, \sqrt{3} {\left(x^{9} - x^{5} + x\right)} + 12 \, \sqrt{x^{6} + x^{2}} {\left(27^{\frac{3}{4}} x^{3} - 3 \cdot 27^{\frac{1}{4}} {\left(x^{5} + x\right)}\right)} + 6 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(9 \cdot 27^{\frac{1}{8}} \sqrt{2} x^{4} - 27^{\frac{5}{8}} \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)}\right)}}{x^{9} - x^{5} + x}\right) - \frac{1}{54} \cdot 27^{\frac{7}{8}} \arctan\left(\frac{27^{\frac{5}{8}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)} + 3^{\frac{3}{4}} {\left(27^{\frac{3}{8}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)} + 3 \cdot 27^{\frac{1}{8}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)} - 3 \cdot 27^{\frac{3}{8}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{18 \, {\left(x^{5} + x\right)}}\right) - \frac{1}{216} \cdot 27^{\frac{7}{8}} \log\left(\frac{2 \cdot 27^{\frac{3}{4}} {\left(x^{7} + x^{3}\right)} + 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(9 \cdot 27^{\frac{1}{8}} x^{2} + 27^{\frac{5}{8}} {\left(x^{4} + 1\right)}\right)} + 18 \, \sqrt{x^{6} + x^{2}} {\left(x^{5} + \sqrt{3} x^{3} + x\right)} + 3 \cdot 27^{\frac{1}{4}} {\left(x^{9} + 5 \, x^{5} + x\right)} + 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(27^{\frac{7}{8}} x^{4} + 3 \cdot 27^{\frac{3}{8}} {\left(x^{6} + x^{2}\right)}\right)}}{x^{9} - x^{5} + x}\right) + \frac{1}{216} \cdot 27^{\frac{7}{8}} \log\left(\frac{2 \cdot 27^{\frac{3}{4}} {\left(x^{7} + x^{3}\right)} - 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(9 \cdot 27^{\frac{1}{8}} x^{2} + 27^{\frac{5}{8}} {\left(x^{4} + 1\right)}\right)} + 18 \, \sqrt{x^{6} + x^{2}} {\left(x^{5} + \sqrt{3} x^{3} + x\right)} + 3 \cdot 27^{\frac{1}{4}} {\left(x^{9} + 5 \, x^{5} + x\right)} - 2 \, {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(27^{\frac{7}{8}} x^{4} + 3 \cdot 27^{\frac{3}{8}} {\left(x^{6} + x^{2}\right)}\right)}}{x^{9} - x^{5} + x}\right)"," ",0,"-1/108*27^(7/8)*sqrt(2)*arctan(1/81*(sqrt(3)*(27^(3/4)*(x^9 + 5*x^5 + x) + 3*(x^6 + x^2)^(3/4)*(27^(5/8)*sqrt(2)*x^2 + 3*27^(1/8)*sqrt(2)*(x^4 + 1)) + 18*sqrt(x^6 + x^2)*(3*x^3 + sqrt(3)*(x^5 + x)) + 18*27^(1/4)*(x^7 + x^3) + (x^6 + x^2)^(1/4)*(9*27^(3/8)*sqrt(2)*x^4 + 27^(7/8)*sqrt(2)*(x^6 + x^2)))*sqrt((2*(x^6 + x^2)^(3/4)*(9*27^(3/8)*sqrt(2)*x^2 - 27^(7/8)*sqrt(2)*(x^4 + 1)) + 9*sqrt(3)*(x^9 - x^5 + x) - 12*sqrt(x^6 + x^2)*(27^(3/4)*x^3 - 3*27^(1/4)*(x^5 + x)) + 6*(x^6 + x^2)^(1/4)*(9*27^(1/8)*sqrt(2)*x^4 - 27^(5/8)*sqrt(2)*(x^6 + x^2)))/(x^9 - x^5 + x)) + 9*(x^6 + x^2)^(3/4)*(27^(7/8)*sqrt(2)*x^2 + 3*27^(3/8)*sqrt(2)*(x^4 + 1)) + 27*(x^6 + x^2)^(1/4)*(27^(5/8)*sqrt(2)*x^4 + 3*27^(1/8)*sqrt(2)*(x^6 + x^2)))/(x^9 - x^5 + x)) - 1/108*27^(7/8)*sqrt(2)*arctan(-1/81*(sqrt(3)*(27^(3/4)*(x^9 + 5*x^5 + x) - 3*(x^6 + x^2)^(3/4)*(27^(5/8)*sqrt(2)*x^2 + 3*27^(1/8)*sqrt(2)*(x^4 + 1)) + 18*sqrt(x^6 + x^2)*(3*x^3 + sqrt(3)*(x^5 + x)) + 18*27^(1/4)*(x^7 + x^3) - (x^6 + x^2)^(1/4)*(9*27^(3/8)*sqrt(2)*x^4 + 27^(7/8)*sqrt(2)*(x^6 + x^2)))*sqrt(-(2*(x^6 + x^2)^(3/4)*(9*27^(3/8)*sqrt(2)*x^2 - 27^(7/8)*sqrt(2)*(x^4 + 1)) - 9*sqrt(3)*(x^9 - x^5 + x) + 12*sqrt(x^6 + x^2)*(27^(3/4)*x^3 - 3*27^(1/4)*(x^5 + x)) + 6*(x^6 + x^2)^(1/4)*(9*27^(1/8)*sqrt(2)*x^4 - 27^(5/8)*sqrt(2)*(x^6 + x^2)))/(x^9 - x^5 + x)) - 9*(x^6 + x^2)^(3/4)*(27^(7/8)*sqrt(2)*x^2 + 3*27^(3/8)*sqrt(2)*(x^4 + 1)) - 27*(x^6 + x^2)^(1/4)*(27^(5/8)*sqrt(2)*x^4 + 3*27^(1/8)*sqrt(2)*(x^6 + x^2)))/(x^9 - x^5 + x)) - 1/432*27^(7/8)*sqrt(2)*log(3*(2*(x^6 + x^2)^(3/4)*(9*27^(3/8)*sqrt(2)*x^2 - 27^(7/8)*sqrt(2)*(x^4 + 1)) + 9*sqrt(3)*(x^9 - x^5 + x) - 12*sqrt(x^6 + x^2)*(27^(3/4)*x^3 - 3*27^(1/4)*(x^5 + x)) + 6*(x^6 + x^2)^(1/4)*(9*27^(1/8)*sqrt(2)*x^4 - 27^(5/8)*sqrt(2)*(x^6 + x^2)))/(x^9 - x^5 + x)) + 1/432*27^(7/8)*sqrt(2)*log(-3*(2*(x^6 + x^2)^(3/4)*(9*27^(3/8)*sqrt(2)*x^2 - 27^(7/8)*sqrt(2)*(x^4 + 1)) - 9*sqrt(3)*(x^9 - x^5 + x) + 12*sqrt(x^6 + x^2)*(27^(3/4)*x^3 - 3*27^(1/4)*(x^5 + x)) + 6*(x^6 + x^2)^(1/4)*(9*27^(1/8)*sqrt(2)*x^4 - 27^(5/8)*sqrt(2)*(x^6 + x^2)))/(x^9 - x^5 + x)) - 1/54*27^(7/8)*arctan(1/18*(27^(5/8)*(x^6 + x^2)^(1/4)*(x^4 + 1) + 3^(3/4)*(27^(3/8)*(x^6 + x^2)^(1/4)*(x^4 + 1) + 3*27^(1/8)*(x^6 + x^2)^(3/4)) - 3*27^(3/8)*(x^6 + x^2)^(3/4))/(x^5 + x)) - 1/216*27^(7/8)*log((2*27^(3/4)*(x^7 + x^3) + 2*(x^6 + x^2)^(3/4)*(9*27^(1/8)*x^2 + 27^(5/8)*(x^4 + 1)) + 18*sqrt(x^6 + x^2)*(x^5 + sqrt(3)*x^3 + x) + 3*27^(1/4)*(x^9 + 5*x^5 + x) + 2*(x^6 + x^2)^(1/4)*(27^(7/8)*x^4 + 3*27^(3/8)*(x^6 + x^2)))/(x^9 - x^5 + x)) + 1/216*27^(7/8)*log((2*27^(3/4)*(x^7 + x^3) - 2*(x^6 + x^2)^(3/4)*(9*27^(1/8)*x^2 + 27^(5/8)*(x^4 + 1)) + 18*sqrt(x^6 + x^2)*(x^5 + sqrt(3)*x^3 + x) + 3*27^(1/4)*(x^9 + 5*x^5 + x) - 2*(x^6 + x^2)^(1/4)*(27^(7/8)*x^4 + 3*27^(3/8)*(x^6 + x^2)))/(x^9 - x^5 + x))","B",0
2364,1,1055,0,54.548368," ","integrate((x^8-x^4+1)/(x^6+x^2)^(1/4)/(x^8-1),x, algorithm=""fricas"")","-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x\right)} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{6} + x^{2}} x + 2^{\frac{1}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) + 2^{\frac{3}{4}} {\left(x^{5} + x\right)} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} x + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) - 2^{\frac{3}{4}} {\left(x^{5} + x\right)} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} x + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) - 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x\right)} \arctan\left(-\frac{2 \, x^{9} + 8 \, x^{7} + 12 \, x^{5} + 8 \, x^{3} + 4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 6 \, x^{2} + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} + 2 \, x^{3} + x\right)} - \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{9} - 16 \, x^{7} - 2 \, x^{5} - 16 \, x^{3} + x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 6 \, x^{3} + x\right)} + 8 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} + 2 \, x^{3} + x}} + 8 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{6} - 2 \, x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 2 \, x}{2 \, {\left(x^{9} - 28 \, x^{7} + 6 \, x^{5} - 28 \, x^{3} + x\right)}}\right) + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x\right)} \arctan\left(-\frac{2 \, x^{9} + 8 \, x^{7} + 12 \, x^{5} + 8 \, x^{3} - 4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 6 \, x^{2} + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} + 2 \, x^{3} + x\right)} - \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{9} - 16 \, x^{7} - 2 \, x^{5} - 16 \, x^{3} + x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 6 \, x^{3} + x\right)} + 8 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} + 2 \, x^{3} + x}} - 8 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{6} - 2 \, x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 2 \, x}{2 \, {\left(x^{9} - 28 \, x^{7} + 6 \, x^{5} - 28 \, x^{3} + x\right)}}\right) + 2^{\frac{1}{4}} {\left(x^{5} + x\right)} \log\left(\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x^{5} + 2 \, x^{3} + x}\right) - 2^{\frac{1}{4}} {\left(x^{5} + x\right)} \log\left(-\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x^{5} + 2 \, x^{3} + x}\right) + 96 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{64 \, {\left(x^{5} + x\right)}}"," ",0,"-1/64*(4*2^(3/4)*(x^5 + x)*arctan(1/2*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + 2^(3/4)*(2*2^(3/4)*sqrt(x^6 + x^2)*x + 2^(1/4)*(x^5 + 2*x^3 + x)) + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 2^(3/4)*(x^5 + x)*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 2^(3/4)*(x^5 + 2*x^3 + x) + 4*2^(1/4)*sqrt(x^6 + x^2)*x + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) - 2^(3/4)*(x^5 + x)*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 - 2^(3/4)*(x^5 + 2*x^3 + x) - 4*2^(1/4)*sqrt(x^6 + x^2)*x + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) - 4*2^(1/4)*(x^5 + x)*arctan(-1/2*(2*x^9 + 8*x^7 + 12*x^5 + 8*x^3 + 4*2^(3/4)*(x^6 + x^2)^(3/4)*(x^4 - 6*x^2 + 1) + 8*sqrt(2)*sqrt(x^6 + x^2)*(x^5 + 2*x^3 + x) - sqrt(2)*(32*sqrt(2)*(x^6 + x^2)^(3/4)*x^2 + 2^(3/4)*(x^9 - 16*x^7 - 2*x^5 - 16*x^3 + x) + 4*2^(1/4)*sqrt(x^6 + x^2)*(x^5 - 6*x^3 + x) + 8*(x^6 + 2*x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt((4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) + 8*2^(1/4)*(3*x^6 - 2*x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 2*x)/(x^9 - 28*x^7 + 6*x^5 - 28*x^3 + x)) + 4*2^(1/4)*(x^5 + x)*arctan(-1/2*(2*x^9 + 8*x^7 + 12*x^5 + 8*x^3 - 4*2^(3/4)*(x^6 + x^2)^(3/4)*(x^4 - 6*x^2 + 1) + 8*sqrt(2)*sqrt(x^6 + x^2)*(x^5 + 2*x^3 + x) - sqrt(2)*(32*sqrt(2)*(x^6 + x^2)^(3/4)*x^2 - 2^(3/4)*(x^9 - 16*x^7 - 2*x^5 - 16*x^3 + x) - 4*2^(1/4)*sqrt(x^6 + x^2)*(x^5 - 6*x^3 + x) + 8*(x^6 + 2*x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt(-(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) - 8*2^(1/4)*(3*x^6 - 2*x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 2*x)/(x^9 - 28*x^7 + 6*x^5 - 28*x^3 + x)) + 2^(1/4)*(x^5 + x)*log(8*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) - 2^(1/4)*(x^5 + x)*log(-8*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) + 96*(x^6 + x^2)^(3/4))/(x^5 + x)","B",0
2365,1,1055,0,54.623725," ","integrate((x^8-x^4+1)/(x^6+x^2)^(1/4)/(x^8-1),x, algorithm=""fricas"")","-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x\right)} \arctan\left(\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{6} + x^{2}} x + 2^{\frac{1}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}\right) + 2^{\frac{3}{4}} {\left(x^{5} + x\right)} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} x + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) - 2^{\frac{3}{4}} {\left(x^{5} + x\right)} \log\left(-\frac{4 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} x + 4 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} - 2 \, x^{3} + x}\right) - 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x\right)} \arctan\left(-\frac{2 \, x^{9} + 8 \, x^{7} + 12 \, x^{5} + 8 \, x^{3} + 4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 6 \, x^{2} + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} + 2 \, x^{3} + x\right)} - \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{9} - 16 \, x^{7} - 2 \, x^{5} - 16 \, x^{3} + x\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 6 \, x^{3} + x\right)} + 8 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} + 2 \, x^{3} + x}} + 8 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{6} - 2 \, x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 2 \, x}{2 \, {\left(x^{9} - 28 \, x^{7} + 6 \, x^{5} - 28 \, x^{3} + x\right)}}\right) + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x\right)} \arctan\left(-\frac{2 \, x^{9} + 8 \, x^{7} + 12 \, x^{5} + 8 \, x^{3} - 4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} {\left(x^{4} - 6 \, x^{2} + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{6} + x^{2}} {\left(x^{5} + 2 \, x^{3} + x\right)} - \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{9} - 16 \, x^{7} - 2 \, x^{5} - 16 \, x^{3} + x\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{6} + x^{2}} {\left(x^{5} - 6 \, x^{3} + x\right)} + 8 \, {\left(x^{6} + 2 \, x^{4} + x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{x^{5} + 2 \, x^{3} + x}} - 8 \cdot 2^{\frac{1}{4}} {\left(3 \, x^{6} - 2 \, x^{4} + 3 \, x^{2}\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} + 2 \, x}{2 \, {\left(x^{9} - 28 \, x^{7} + 6 \, x^{5} - 28 \, x^{3} + x\right)}}\right) + 2^{\frac{1}{4}} {\left(x^{5} + x\right)} \log\left(\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} + 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x^{5} + 2 \, x^{3} + x}\right) - 2^{\frac{1}{4}} {\left(x^{5} + x\right)} \log\left(-\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{5} + 2 \, x^{3} + x\right)} - 8 \, \sqrt{x^{6} + x^{2}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}\right)}}{x^{5} + 2 \, x^{3} + x}\right) + 96 \, {\left(x^{6} + x^{2}\right)}^{\frac{3}{4}}}{64 \, {\left(x^{5} + x\right)}}"," ",0,"-1/64*(4*2^(3/4)*(x^5 + x)*arctan(1/2*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + 2^(3/4)*(2*2^(3/4)*sqrt(x^6 + x^2)*x + 2^(1/4)*(x^5 + 2*x^3 + x)) + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) + 2^(3/4)*(x^5 + x)*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 + 2^(3/4)*(x^5 + 2*x^3 + x) + 4*2^(1/4)*sqrt(x^6 + x^2)*x + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) - 2^(3/4)*(x^5 + x)*log(-(4*sqrt(2)*(x^6 + x^2)^(1/4)*x^2 - 2^(3/4)*(x^5 + 2*x^3 + x) - 4*2^(1/4)*sqrt(x^6 + x^2)*x + 4*(x^6 + x^2)^(3/4))/(x^5 - 2*x^3 + x)) - 4*2^(1/4)*(x^5 + x)*arctan(-1/2*(2*x^9 + 8*x^7 + 12*x^5 + 8*x^3 + 4*2^(3/4)*(x^6 + x^2)^(3/4)*(x^4 - 6*x^2 + 1) + 8*sqrt(2)*sqrt(x^6 + x^2)*(x^5 + 2*x^3 + x) - sqrt(2)*(32*sqrt(2)*(x^6 + x^2)^(3/4)*x^2 + 2^(3/4)*(x^9 - 16*x^7 - 2*x^5 - 16*x^3 + x) + 4*2^(1/4)*sqrt(x^6 + x^2)*(x^5 - 6*x^3 + x) + 8*(x^6 + 2*x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt((4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) + 8*2^(1/4)*(3*x^6 - 2*x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 2*x)/(x^9 - 28*x^7 + 6*x^5 - 28*x^3 + x)) + 4*2^(1/4)*(x^5 + x)*arctan(-1/2*(2*x^9 + 8*x^7 + 12*x^5 + 8*x^3 - 4*2^(3/4)*(x^6 + x^2)^(3/4)*(x^4 - 6*x^2 + 1) + 8*sqrt(2)*sqrt(x^6 + x^2)*(x^5 + 2*x^3 + x) - sqrt(2)*(32*sqrt(2)*(x^6 + x^2)^(3/4)*x^2 - 2^(3/4)*(x^9 - 16*x^7 - 2*x^5 - 16*x^3 + x) - 4*2^(1/4)*sqrt(x^6 + x^2)*(x^5 - 6*x^3 + x) + 8*(x^6 + 2*x^4 + x^2)*(x^6 + x^2)^(1/4))*sqrt(-(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) - 8*2^(1/4)*(3*x^6 - 2*x^4 + 3*x^2)*(x^6 + x^2)^(1/4) + 2*x)/(x^9 - 28*x^7 + 6*x^5 - 28*x^3 + x)) + 2^(1/4)*(x^5 + x)*log(8*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 + sqrt(2)*(x^5 + 2*x^3 + x) + 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) - 2^(1/4)*(x^5 + x)*log(-8*(4*2^(3/4)*(x^6 + x^2)^(1/4)*x^2 - sqrt(2)*(x^5 + 2*x^3 + x) - 8*sqrt(x^6 + x^2)*x + 4*2^(1/4)*(x^6 + x^2)^(3/4))/(x^5 + 2*x^3 + x)) + 96*(x^6 + x^2)^(3/4))/(x^5 + x)","B",0
2366,1,262,0,0.529042," ","integrate(1/(a*x-b)/(x^4-x^3)^(1/4),x, algorithm=""fricas"")","-4 \, \left(-\frac{1}{a b^{3} - b^{4}}\right)^{\frac{1}{4}} \arctan\left(\frac{b x \left(-\frac{1}{a b^{3} - b^{4}}\right)^{\frac{1}{4}} \sqrt{-\frac{{\left(a b - b^{2}\right)} x^{2} \sqrt{-\frac{1}{a b^{3} - b^{4}}} - \sqrt{x^{4} - x^{3}}}{x^{2}}} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} b \left(-\frac{1}{a b^{3} - b^{4}}\right)^{\frac{1}{4}}}{x}\right) + \left(-\frac{1}{a b^{3} - b^{4}}\right)^{\frac{1}{4}} \log\left(\frac{{\left(a b^{2} - b^{3}\right)} x \left(-\frac{1}{a b^{3} - b^{4}}\right)^{\frac{3}{4}} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \left(-\frac{1}{a b^{3} - b^{4}}\right)^{\frac{1}{4}} \log\left(-\frac{{\left(a b^{2} - b^{3}\right)} x \left(-\frac{1}{a b^{3} - b^{4}}\right)^{\frac{3}{4}} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-4*(-1/(a*b^3 - b^4))^(1/4)*arctan((b*x*(-1/(a*b^3 - b^4))^(1/4)*sqrt(-((a*b - b^2)*x^2*sqrt(-1/(a*b^3 - b^4)) - sqrt(x^4 - x^3))/x^2) - (x^4 - x^3)^(1/4)*b*(-1/(a*b^3 - b^4))^(1/4))/x) + (-1/(a*b^3 - b^4))^(1/4)*log(((a*b^2 - b^3)*x*(-1/(a*b^3 - b^4))^(3/4) + (x^4 - x^3)^(1/4))/x) - (-1/(a*b^3 - b^4))^(1/4)*log(-((a*b^2 - b^3)*x*(-1/(a*b^3 - b^4))^(3/4) - (x^4 - x^3)^(1/4))/x)","A",0
2367,1,467,0,0.677191," ","integrate((x^2-x)/((1-x)*x*(-k^2*x+1))^(1/2)/(k^2*x^2-2*x+1),x, algorithm=""fricas"")","\left[\frac{{\left(k^{2} - 1\right)} \log\left(\frac{k^{4} x^{4} + 4 \, k^{2} x^{3} - 2 \, {\left(3 \, k^{2} + 2\right)} x^{2} - 4 \, \sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 1\right)} + 4 \, x + 1}{k^{4} x^{4} - 4 \, k^{2} x^{3} + 2 \, {\left(k^{2} + 2\right)} x^{2} - 4 \, x + 1}\right) - \sqrt{-k^{2} + 1} \log\left(\frac{k^{4} x^{4} - 4 \, {\left(2 \, k^{4} - k^{2}\right)} x^{3} + 2 \, {\left(4 \, k^{4} + k^{2} - 2\right)} x^{2} - 4 \, \sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 2 \, k^{2} x + 1\right)} \sqrt{-k^{2} + 1} - 4 \, {\left(2 \, k^{2} - 1\right)} x + 1}{k^{4} x^{4} - 4 \, k^{2} x^{3} + 2 \, {\left(k^{2} + 2\right)} x^{2} - 4 \, x + 1}\right)}{4 \, {\left(k^{4} - k^{2}\right)}}, \frac{{\left(k^{2} - 1\right)} \log\left(\frac{k^{4} x^{4} + 4 \, k^{2} x^{3} - 2 \, {\left(3 \, k^{2} + 2\right)} x^{2} - 4 \, \sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 1\right)} + 4 \, x + 1}{k^{4} x^{4} - 4 \, k^{2} x^{3} + 2 \, {\left(k^{2} + 2\right)} x^{2} - 4 \, x + 1}\right) + 2 \, \sqrt{k^{2} - 1} \arctan\left(\frac{\sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 2 \, k^{2} x + 1\right)} \sqrt{k^{2} - 1}}{2 \, {\left({\left(k^{4} - k^{2}\right)} x^{3} - {\left(k^{4} - 1\right)} x^{2} + {\left(k^{2} - 1\right)} x\right)}}\right)}{4 \, {\left(k^{4} - k^{2}\right)}}\right]"," ",0,"[1/4*((k^2 - 1)*log((k^4*x^4 + 4*k^2*x^3 - 2*(3*k^2 + 2)*x^2 - 4*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 1) + 4*x + 1)/(k^4*x^4 - 4*k^2*x^3 + 2*(k^2 + 2)*x^2 - 4*x + 1)) - sqrt(-k^2 + 1)*log((k^4*x^4 - 4*(2*k^4 - k^2)*x^3 + 2*(4*k^4 + k^2 - 2)*x^2 - 4*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 2*k^2*x + 1)*sqrt(-k^2 + 1) - 4*(2*k^2 - 1)*x + 1)/(k^4*x^4 - 4*k^2*x^3 + 2*(k^2 + 2)*x^2 - 4*x + 1)))/(k^4 - k^2), 1/4*((k^2 - 1)*log((k^4*x^4 + 4*k^2*x^3 - 2*(3*k^2 + 2)*x^2 - 4*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 1) + 4*x + 1)/(k^4*x^4 - 4*k^2*x^3 + 2*(k^2 + 2)*x^2 - 4*x + 1)) + 2*sqrt(k^2 - 1)*arctan(1/2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 2*k^2*x + 1)*sqrt(k^2 - 1)/((k^4 - k^2)*x^3 - (k^4 - 1)*x^2 + (k^2 - 1)*x)))/(k^4 - k^2)]","A",0
2368,1,1727,0,0.592451," ","integrate((a^3*x^2-b)/(a^3*x^2+b)/(a^3*x^3-b*x^2)^(1/3),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{3} a \left(\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} + b}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} x \left(\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} + b}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x - {\left(a^{6} + a^{3} b\right)} x \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} + b}\right)^{\frac{2}{3}} + {\left(a^{3} x^{2} - {\left(a^{6} + a^{3} b\right)} x^{2} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} + b}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - \sqrt{3} x - 2 \, \sqrt{3} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} \left(\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} + b}\right)^{\frac{1}{3}}}{3 \, x}\right) + 4 \, \sqrt{3} a \left(-\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} + b}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} x \left(-\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} + b}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x + {\left(a^{6} + a^{3} b\right)} x \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(-\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} + b}\right)^{\frac{2}{3}} + {\left(a^{3} x^{2} + {\left(a^{6} + a^{3} b\right)} x^{2} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(-\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} + b}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - \sqrt{3} x - 2 \, \sqrt{3} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} \left(-\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} + b}\right)^{\frac{1}{3}}}{3 \, x}\right) - 2 \, a \left(\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} + b}\right)^{\frac{1}{3}} \log\left(-\frac{2 \, {\left({\left(a^{3} x - {\left(a^{6} + a^{3} b\right)} x \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} + b}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}}\right)}}{x}\right) - 2 \, a \left(-\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} + b}\right)^{\frac{1}{3}} \log\left(-\frac{2 \, {\left({\left(a^{3} x + {\left(a^{6} + a^{3} b\right)} x \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(-\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} + b}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}}\right)}}{x}\right) + a \left(\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} + b}\right)^{\frac{1}{3}} \log\left(\frac{16 \, {\left({\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x - {\left(a^{6} + a^{3} b\right)} x \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} + b}\right)^{\frac{2}{3}} + {\left(a^{3} x^{2} - {\left(a^{6} + a^{3} b\right)} x^{2} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} + b}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + a \left(-\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} + b}\right)^{\frac{1}{3}} \log\left(\frac{16 \, {\left({\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x + {\left(a^{6} + a^{3} b\right)} x \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(-\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} + b}\right)^{\frac{2}{3}} + {\left(a^{3} x^{2} + {\left(a^{6} + a^{3} b\right)} x^{2} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(-\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} + b}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + 2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} a x + 2 \, \sqrt{3} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}}}{3 \, a x}\right) + 2 \, \log\left(-\frac{a x - {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \log\left(\frac{a^{2} x^{2} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} a x + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{2 \, a}"," ",0,"-1/2*(4*sqrt(3)*a*(((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) + 1)/(a^3 + b))^(1/3)*arctan(1/3*(2*sqrt(3)*x*(((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) + 1)/(a^3 + b))^(1/3)*sqrt(((a^3*x^3 - b*x^2)^(1/3)*(a^3*x - (a^6 + a^3*b)*x*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)))*(((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) + 1)/(a^3 + b))^(2/3) + (a^3*x^2 - (a^6 + a^3*b)*x^2*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)))*(((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) + 1)/(a^3 + b))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) - sqrt(3)*x - 2*sqrt(3)*(a^3*x^3 - b*x^2)^(1/3)*(((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) + 1)/(a^3 + b))^(1/3))/x) + 4*sqrt(3)*a*(-((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) - 1)/(a^3 + b))^(1/3)*arctan(1/3*(2*sqrt(3)*x*(-((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) - 1)/(a^3 + b))^(1/3)*sqrt(((a^3*x^3 - b*x^2)^(1/3)*(a^3*x + (a^6 + a^3*b)*x*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)))*(-((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) - 1)/(a^3 + b))^(2/3) + (a^3*x^2 + (a^6 + a^3*b)*x^2*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)))*(-((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) - 1)/(a^3 + b))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) - sqrt(3)*x - 2*sqrt(3)*(a^3*x^3 - b*x^2)^(1/3)*(-((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) - 1)/(a^3 + b))^(1/3))/x) - 2*a*(((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) + 1)/(a^3 + b))^(1/3)*log(-2*((a^3*x - (a^6 + a^3*b)*x*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)))*(((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) + 1)/(a^3 + b))^(2/3) - (a^3*x^3 - b*x^2)^(1/3))/x) - 2*a*(-((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) - 1)/(a^3 + b))^(1/3)*log(-2*((a^3*x + (a^6 + a^3*b)*x*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)))*(-((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) - 1)/(a^3 + b))^(2/3) - (a^3*x^3 - b*x^2)^(1/3))/x) + a*(((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) + 1)/(a^3 + b))^(1/3)*log(16*((a^3*x^3 - b*x^2)^(1/3)*(a^3*x - (a^6 + a^3*b)*x*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)))*(((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) + 1)/(a^3 + b))^(2/3) + (a^3*x^2 - (a^6 + a^3*b)*x^2*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)))*(((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) + 1)/(a^3 + b))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) + a*(-((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) - 1)/(a^3 + b))^(1/3)*log(16*((a^3*x^3 - b*x^2)^(1/3)*(a^3*x + (a^6 + a^3*b)*x*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)))*(-((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) - 1)/(a^3 + b))^(2/3) + (a^3*x^2 + (a^6 + a^3*b)*x^2*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)))*(-((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) - 1)/(a^3 + b))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) + 2*sqrt(3)*arctan(1/3*(sqrt(3)*a*x + 2*sqrt(3)*(a^3*x^3 - b*x^2)^(1/3))/(a*x)) + 2*log(-(a*x - (a^3*x^3 - b*x^2)^(1/3))/x) - log((a^2*x^2 + (a^3*x^3 - b*x^2)^(1/3)*a*x + (a^3*x^3 - b*x^2)^(2/3))/x^2))/a","B",0
2369,1,1727,0,0.617897," ","integrate((a^3*x^2-b)/(a^3*x^2+b)/(a^3*x^3-b*x^2)^(1/3),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{3} a \left(\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} + b}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} x \left(\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} + b}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x - {\left(a^{6} + a^{3} b\right)} x \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} + b}\right)^{\frac{2}{3}} + {\left(a^{3} x^{2} - {\left(a^{6} + a^{3} b\right)} x^{2} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} + b}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - \sqrt{3} x - 2 \, \sqrt{3} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} \left(\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} + b}\right)^{\frac{1}{3}}}{3 \, x}\right) + 4 \, \sqrt{3} a \left(-\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} + b}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} x \left(-\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} + b}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x + {\left(a^{6} + a^{3} b\right)} x \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(-\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} + b}\right)^{\frac{2}{3}} + {\left(a^{3} x^{2} + {\left(a^{6} + a^{3} b\right)} x^{2} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(-\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} + b}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - \sqrt{3} x - 2 \, \sqrt{3} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} \left(-\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} + b}\right)^{\frac{1}{3}}}{3 \, x}\right) - 2 \, a \left(\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} + b}\right)^{\frac{1}{3}} \log\left(-\frac{2 \, {\left({\left(a^{3} x - {\left(a^{6} + a^{3} b\right)} x \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} + b}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}}\right)}}{x}\right) - 2 \, a \left(-\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} + b}\right)^{\frac{1}{3}} \log\left(-\frac{2 \, {\left({\left(a^{3} x + {\left(a^{6} + a^{3} b\right)} x \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(-\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} + b}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}}\right)}}{x}\right) + a \left(\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} + b}\right)^{\frac{1}{3}} \log\left(\frac{16 \, {\left({\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x - {\left(a^{6} + a^{3} b\right)} x \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} + b}\right)^{\frac{2}{3}} + {\left(a^{3} x^{2} - {\left(a^{6} + a^{3} b\right)} x^{2} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} + b}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + a \left(-\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} + b}\right)^{\frac{1}{3}} \log\left(\frac{16 \, {\left({\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x + {\left(a^{6} + a^{3} b\right)} x \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(-\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} + b}\right)^{\frac{2}{3}} + {\left(a^{3} x^{2} + {\left(a^{6} + a^{3} b\right)} x^{2} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(-\frac{{\left(a^{3} + b\right)} \sqrt{-\frac{b}{a^{9} + 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} + b}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + 2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} a x + 2 \, \sqrt{3} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}}}{3 \, a x}\right) + 2 \, \log\left(-\frac{a x - {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \log\left(\frac{a^{2} x^{2} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} a x + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{2 \, a}"," ",0,"-1/2*(4*sqrt(3)*a*(((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) + 1)/(a^3 + b))^(1/3)*arctan(1/3*(2*sqrt(3)*x*(((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) + 1)/(a^3 + b))^(1/3)*sqrt(((a^3*x^3 - b*x^2)^(1/3)*(a^3*x - (a^6 + a^3*b)*x*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)))*(((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) + 1)/(a^3 + b))^(2/3) + (a^3*x^2 - (a^6 + a^3*b)*x^2*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)))*(((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) + 1)/(a^3 + b))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) - sqrt(3)*x - 2*sqrt(3)*(a^3*x^3 - b*x^2)^(1/3)*(((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) + 1)/(a^3 + b))^(1/3))/x) + 4*sqrt(3)*a*(-((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) - 1)/(a^3 + b))^(1/3)*arctan(1/3*(2*sqrt(3)*x*(-((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) - 1)/(a^3 + b))^(1/3)*sqrt(((a^3*x^3 - b*x^2)^(1/3)*(a^3*x + (a^6 + a^3*b)*x*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)))*(-((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) - 1)/(a^3 + b))^(2/3) + (a^3*x^2 + (a^6 + a^3*b)*x^2*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)))*(-((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) - 1)/(a^3 + b))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) - sqrt(3)*x - 2*sqrt(3)*(a^3*x^3 - b*x^2)^(1/3)*(-((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) - 1)/(a^3 + b))^(1/3))/x) - 2*a*(((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) + 1)/(a^3 + b))^(1/3)*log(-2*((a^3*x - (a^6 + a^3*b)*x*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)))*(((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) + 1)/(a^3 + b))^(2/3) - (a^3*x^3 - b*x^2)^(1/3))/x) - 2*a*(-((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) - 1)/(a^3 + b))^(1/3)*log(-2*((a^3*x + (a^6 + a^3*b)*x*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)))*(-((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) - 1)/(a^3 + b))^(2/3) - (a^3*x^3 - b*x^2)^(1/3))/x) + a*(((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) + 1)/(a^3 + b))^(1/3)*log(16*((a^3*x^3 - b*x^2)^(1/3)*(a^3*x - (a^6 + a^3*b)*x*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)))*(((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) + 1)/(a^3 + b))^(2/3) + (a^3*x^2 - (a^6 + a^3*b)*x^2*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)))*(((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) + 1)/(a^3 + b))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) + a*(-((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) - 1)/(a^3 + b))^(1/3)*log(16*((a^3*x^3 - b*x^2)^(1/3)*(a^3*x + (a^6 + a^3*b)*x*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)))*(-((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) - 1)/(a^3 + b))^(2/3) + (a^3*x^2 + (a^6 + a^3*b)*x^2*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)))*(-((a^3 + b)*sqrt(-b/(a^9 + 2*a^6*b + a^3*b^2)) - 1)/(a^3 + b))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) + 2*sqrt(3)*arctan(1/3*(sqrt(3)*a*x + 2*sqrt(3)*(a^3*x^3 - b*x^2)^(1/3))/(a*x)) + 2*log(-(a*x - (a^3*x^3 - b*x^2)^(1/3))/x) - log((a^2*x^2 + (a^3*x^3 - b*x^2)^(1/3)*a*x + (a^3*x^3 - b*x^2)^(2/3))/x^2))/a","B",0
2370,1,1659,0,1.013282," ","integrate((x^2+1)/(x^2-1)/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(2 \, a + 2 \, b + c\right)} \sqrt{2 \, a - 2 \, b + c} \log\left(\frac{{\left(24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a + 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{2 \, a - 2 \, b + c} + 24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right) + \sqrt{2 \, a + 2 \, b + c} {\left(2 \, a - 2 \, b + c\right)} \log\left(\frac{{\left(24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a - 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} - 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{2 \, a + 2 \, b + c} + 24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right)}{4 \, {\left(4 \, a^{2} - 4 \, b^{2} + 4 \, a c + c^{2}\right)}}, \frac{2 \, {\left(2 \, a - 2 \, b + c\right)} \sqrt{-2 \, a - 2 \, b - c} \arctan\left(\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{-2 \, a - 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} + 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a + b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} + 2 \, a b + a c + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x\right)}}\right) + {\left(2 \, a + 2 \, b + c\right)} \sqrt{2 \, a - 2 \, b + c} \log\left(\frac{{\left(24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a + 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{2 \, a - 2 \, b + c} + 24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right)}{4 \, {\left(4 \, a^{2} - 4 \, b^{2} + 4 \, a c + c^{2}\right)}}, \frac{2 \, {\left(2 \, a + 2 \, b + c\right)} \sqrt{-2 \, a + 2 \, b - c} \arctan\left(-\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{-2 \, a + 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} - 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a - b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} - 2 \, a b + a c + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x\right)}}\right) + \sqrt{2 \, a + 2 \, b + c} {\left(2 \, a - 2 \, b + c\right)} \log\left(\frac{{\left(24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a - 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} - 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{2 \, a + 2 \, b + c} + 24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right)}{4 \, {\left(4 \, a^{2} - 4 \, b^{2} + 4 \, a c + c^{2}\right)}}, \frac{{\left(2 \, a + 2 \, b + c\right)} \sqrt{-2 \, a + 2 \, b - c} \arctan\left(-\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{-2 \, a + 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} - 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a - b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} - 2 \, a b + a c + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x\right)}}\right) + {\left(2 \, a - 2 \, b + c\right)} \sqrt{-2 \, a - 2 \, b - c} \arctan\left(\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{-2 \, a - 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} + 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a + b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} + 2 \, a b + a c + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x\right)}}\right)}{2 \, {\left(4 \, a^{2} - 4 \, b^{2} + 4 \, a c + c^{2}\right)}}\right]"," ",0,"[1/4*((2*a + 2*b + c)*sqrt(2*a - 2*b + c)*log(((24*a^2 - 16*a*b + b^2 + 4*a*c)*x^4 + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a + 2*b)*c + 4*c^2)*x^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(2*a - 2*b + c) + 24*a^2 - 16*a*b + b^2 + 4*a*c + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x)/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1)) + sqrt(2*a + 2*b + c)*(2*a - 2*b + c)*log(((24*a^2 + 16*a*b + b^2 + 4*a*c)*x^4 - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a - 2*b)*c + 4*c^2)*x^2 - 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(2*a + 2*b + c) + 24*a^2 + 16*a*b + b^2 + 4*a*c - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)))/(4*a^2 - 4*b^2 + 4*a*c + c^2), 1/4*(2*(2*a - 2*b + c)*sqrt(-2*a - 2*b - c)*arctan(1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(-2*a - 2*b - c)/((2*a^2 + 2*a*b + a*c)*x^4 + (2*a*b + 2*b^2 + b*c)*x^3 + (2*(a + b)*c + c^2)*x^2 + 2*a^2 + 2*a*b + a*c + (2*a*b + 2*b^2 + b*c)*x)) + (2*a + 2*b + c)*sqrt(2*a - 2*b + c)*log(((24*a^2 - 16*a*b + b^2 + 4*a*c)*x^4 + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a + 2*b)*c + 4*c^2)*x^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(2*a - 2*b + c) + 24*a^2 - 16*a*b + b^2 + 4*a*c + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x)/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1)))/(4*a^2 - 4*b^2 + 4*a*c + c^2), 1/4*(2*(2*a + 2*b + c)*sqrt(-2*a + 2*b - c)*arctan(-1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(-2*a + 2*b - c)/((2*a^2 - 2*a*b + a*c)*x^4 + (2*a*b - 2*b^2 + b*c)*x^3 + (2*(a - b)*c + c^2)*x^2 + 2*a^2 - 2*a*b + a*c + (2*a*b - 2*b^2 + b*c)*x)) + sqrt(2*a + 2*b + c)*(2*a - 2*b + c)*log(((24*a^2 + 16*a*b + b^2 + 4*a*c)*x^4 - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a - 2*b)*c + 4*c^2)*x^2 - 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(2*a + 2*b + c) + 24*a^2 + 16*a*b + b^2 + 4*a*c - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)))/(4*a^2 - 4*b^2 + 4*a*c + c^2), 1/2*((2*a + 2*b + c)*sqrt(-2*a + 2*b - c)*arctan(-1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(-2*a + 2*b - c)/((2*a^2 - 2*a*b + a*c)*x^4 + (2*a*b - 2*b^2 + b*c)*x^3 + (2*(a - b)*c + c^2)*x^2 + 2*a^2 - 2*a*b + a*c + (2*a*b - 2*b^2 + b*c)*x)) + (2*a - 2*b + c)*sqrt(-2*a - 2*b - c)*arctan(1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(-2*a - 2*b - c)/((2*a^2 + 2*a*b + a*c)*x^4 + (2*a*b + 2*b^2 + b*c)*x^3 + (2*(a + b)*c + c^2)*x^2 + 2*a^2 + 2*a*b + a*c + (2*a*b + 2*b^2 + b*c)*x)))/(4*a^2 - 4*b^2 + 4*a*c + c^2)]","B",0
2371,-1,0,0,0.000000," ","integrate(x^4*(x^4-x^2)^(1/4)/(x^8+x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2372,-1,0,0,0.000000," ","integrate(x^4*(x^4-x^2)^(1/4)/(x^8+x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2373,1,1321,0,5.942003," ","integrate((p*x^3-2*q)*(p*x^3+q)^(1/2)/(c*x^4+b*x^2*(p*x^3+q)+a*(p*x^3+q)^2),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{2} \sqrt{-\frac{b + \frac{a b^{2} - 4 \, a^{2} c}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a b^{2} - 4 \, a^{2} c}} \log\left(\frac{2 \, a p^{2} x^{6} + 4 \, a p q x^{3} - 2 \, c x^{4} + 2 \, a q^{2} + \sqrt{2} {\left({\left(b^{2} - 4 \, a c\right)} x^{3} - \frac{2 \, {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} p x^{4} + {\left(a b^{3} - 4 \, a^{2} b c\right)} x^{3} + 2 \, {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} q x}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}\right)} \sqrt{p x^{3} + q} \sqrt{-\frac{b + \frac{a b^{2} - 4 \, a^{2} c}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a b^{2} - 4 \, a^{2} c}} - \frac{2 \, {\left({\left(a b^{2} - 4 \, a^{2} c\right)} p x^{5} + {\left(a b^{2} - 4 \, a^{2} c\right)} q x^{2}\right)}}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a p^{2} x^{6} + b p x^{5} + 2 \, a p q x^{3} + c x^{4} + b q x^{2} + a q^{2}}\right) + \frac{1}{4} \, \sqrt{2} \sqrt{-\frac{b + \frac{a b^{2} - 4 \, a^{2} c}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a b^{2} - 4 \, a^{2} c}} \log\left(\frac{2 \, a p^{2} x^{6} + 4 \, a p q x^{3} - 2 \, c x^{4} + 2 \, a q^{2} - \sqrt{2} {\left({\left(b^{2} - 4 \, a c\right)} x^{3} - \frac{2 \, {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} p x^{4} + {\left(a b^{3} - 4 \, a^{2} b c\right)} x^{3} + 2 \, {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} q x}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}\right)} \sqrt{p x^{3} + q} \sqrt{-\frac{b + \frac{a b^{2} - 4 \, a^{2} c}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a b^{2} - 4 \, a^{2} c}} - \frac{2 \, {\left({\left(a b^{2} - 4 \, a^{2} c\right)} p x^{5} + {\left(a b^{2} - 4 \, a^{2} c\right)} q x^{2}\right)}}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a p^{2} x^{6} + b p x^{5} + 2 \, a p q x^{3} + c x^{4} + b q x^{2} + a q^{2}}\right) - \frac{1}{4} \, \sqrt{2} \sqrt{-\frac{b - \frac{a b^{2} - 4 \, a^{2} c}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a b^{2} - 4 \, a^{2} c}} \log\left(\frac{2 \, a p^{2} x^{6} + 4 \, a p q x^{3} - 2 \, c x^{4} + 2 \, a q^{2} + \sqrt{2} {\left({\left(b^{2} - 4 \, a c\right)} x^{3} + \frac{2 \, {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} p x^{4} + {\left(a b^{3} - 4 \, a^{2} b c\right)} x^{3} + 2 \, {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} q x}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}\right)} \sqrt{p x^{3} + q} \sqrt{-\frac{b - \frac{a b^{2} - 4 \, a^{2} c}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a b^{2} - 4 \, a^{2} c}} + \frac{2 \, {\left({\left(a b^{2} - 4 \, a^{2} c\right)} p x^{5} + {\left(a b^{2} - 4 \, a^{2} c\right)} q x^{2}\right)}}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a p^{2} x^{6} + b p x^{5} + 2 \, a p q x^{3} + c x^{4} + b q x^{2} + a q^{2}}\right) + \frac{1}{4} \, \sqrt{2} \sqrt{-\frac{b - \frac{a b^{2} - 4 \, a^{2} c}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a b^{2} - 4 \, a^{2} c}} \log\left(\frac{2 \, a p^{2} x^{6} + 4 \, a p q x^{3} - 2 \, c x^{4} + 2 \, a q^{2} - \sqrt{2} {\left({\left(b^{2} - 4 \, a c\right)} x^{3} + \frac{2 \, {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} p x^{4} + {\left(a b^{3} - 4 \, a^{2} b c\right)} x^{3} + 2 \, {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} q x}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}\right)} \sqrt{p x^{3} + q} \sqrt{-\frac{b - \frac{a b^{2} - 4 \, a^{2} c}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a b^{2} - 4 \, a^{2} c}} + \frac{2 \, {\left({\left(a b^{2} - 4 \, a^{2} c\right)} p x^{5} + {\left(a b^{2} - 4 \, a^{2} c\right)} q x^{2}\right)}}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a p^{2} x^{6} + b p x^{5} + 2 \, a p q x^{3} + c x^{4} + b q x^{2} + a q^{2}}\right)"," ",0,"-1/4*sqrt(2)*sqrt(-(b + (a*b^2 - 4*a^2*c)/sqrt(a^2*b^2 - 4*a^3*c))/(a*b^2 - 4*a^2*c))*log((2*a*p^2*x^6 + 4*a*p*q*x^3 - 2*c*x^4 + 2*a*q^2 + sqrt(2)*((b^2 - 4*a*c)*x^3 - (2*(a^2*b^2 - 4*a^3*c)*p*x^4 + (a*b^3 - 4*a^2*b*c)*x^3 + 2*(a^2*b^2 - 4*a^3*c)*q*x)/sqrt(a^2*b^2 - 4*a^3*c))*sqrt(p*x^3 + q)*sqrt(-(b + (a*b^2 - 4*a^2*c)/sqrt(a^2*b^2 - 4*a^3*c))/(a*b^2 - 4*a^2*c)) - 2*((a*b^2 - 4*a^2*c)*p*x^5 + (a*b^2 - 4*a^2*c)*q*x^2)/sqrt(a^2*b^2 - 4*a^3*c))/(a*p^2*x^6 + b*p*x^5 + 2*a*p*q*x^3 + c*x^4 + b*q*x^2 + a*q^2)) + 1/4*sqrt(2)*sqrt(-(b + (a*b^2 - 4*a^2*c)/sqrt(a^2*b^2 - 4*a^3*c))/(a*b^2 - 4*a^2*c))*log((2*a*p^2*x^6 + 4*a*p*q*x^3 - 2*c*x^4 + 2*a*q^2 - sqrt(2)*((b^2 - 4*a*c)*x^3 - (2*(a^2*b^2 - 4*a^3*c)*p*x^4 + (a*b^3 - 4*a^2*b*c)*x^3 + 2*(a^2*b^2 - 4*a^3*c)*q*x)/sqrt(a^2*b^2 - 4*a^3*c))*sqrt(p*x^3 + q)*sqrt(-(b + (a*b^2 - 4*a^2*c)/sqrt(a^2*b^2 - 4*a^3*c))/(a*b^2 - 4*a^2*c)) - 2*((a*b^2 - 4*a^2*c)*p*x^5 + (a*b^2 - 4*a^2*c)*q*x^2)/sqrt(a^2*b^2 - 4*a^3*c))/(a*p^2*x^6 + b*p*x^5 + 2*a*p*q*x^3 + c*x^4 + b*q*x^2 + a*q^2)) - 1/4*sqrt(2)*sqrt(-(b - (a*b^2 - 4*a^2*c)/sqrt(a^2*b^2 - 4*a^3*c))/(a*b^2 - 4*a^2*c))*log((2*a*p^2*x^6 + 4*a*p*q*x^3 - 2*c*x^4 + 2*a*q^2 + sqrt(2)*((b^2 - 4*a*c)*x^3 + (2*(a^2*b^2 - 4*a^3*c)*p*x^4 + (a*b^3 - 4*a^2*b*c)*x^3 + 2*(a^2*b^2 - 4*a^3*c)*q*x)/sqrt(a^2*b^2 - 4*a^3*c))*sqrt(p*x^3 + q)*sqrt(-(b - (a*b^2 - 4*a^2*c)/sqrt(a^2*b^2 - 4*a^3*c))/(a*b^2 - 4*a^2*c)) + 2*((a*b^2 - 4*a^2*c)*p*x^5 + (a*b^2 - 4*a^2*c)*q*x^2)/sqrt(a^2*b^2 - 4*a^3*c))/(a*p^2*x^6 + b*p*x^5 + 2*a*p*q*x^3 + c*x^4 + b*q*x^2 + a*q^2)) + 1/4*sqrt(2)*sqrt(-(b - (a*b^2 - 4*a^2*c)/sqrt(a^2*b^2 - 4*a^3*c))/(a*b^2 - 4*a^2*c))*log((2*a*p^2*x^6 + 4*a*p*q*x^3 - 2*c*x^4 + 2*a*q^2 - sqrt(2)*((b^2 - 4*a*c)*x^3 + (2*(a^2*b^2 - 4*a^3*c)*p*x^4 + (a*b^3 - 4*a^2*b*c)*x^3 + 2*(a^2*b^2 - 4*a^3*c)*q*x)/sqrt(a^2*b^2 - 4*a^3*c))*sqrt(p*x^3 + q)*sqrt(-(b - (a*b^2 - 4*a^2*c)/sqrt(a^2*b^2 - 4*a^3*c))/(a*b^2 - 4*a^2*c)) + 2*((a*b^2 - 4*a^2*c)*p*x^5 + (a*b^2 - 4*a^2*c)*q*x^2)/sqrt(a^2*b^2 - 4*a^3*c))/(a*p^2*x^6 + b*p*x^5 + 2*a*p*q*x^3 + c*x^4 + b*q*x^2 + a*q^2))","B",0
2374,1,180,0,1.374414," ","integrate((x^4-1)^2/(x^4+1)^2/(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(x^{4} + 1\right)} \log\left(4 \, x^{4} + 4 \, \sqrt{x^{4} + 1} x^{2} + 2 \, {\left(\sqrt{2} x^{3} + \sqrt{2} \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 1\right) + 3 \, {\left(x^{4} + 1\right)} \log\left(-\frac{9 \, x^{4} + 8 \, \sqrt{x^{4} + 1} x^{2} - 4 \, {\left(2 \, x^{3} + \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 1}{x^{4} + 1}\right) - 4 \, {\left(x^{7} + 3 \, x^{3} - {\left(x^{5} + 4 \, x\right)} \sqrt{x^{4} + 1}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{8 \, {\left(x^{4} + 1\right)}}"," ",0,"1/8*(sqrt(2)*(x^4 + 1)*log(4*x^4 + 4*sqrt(x^4 + 1)*x^2 + 2*(sqrt(2)*x^3 + sqrt(2)*sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1) + 3*(x^4 + 1)*log(-(9*x^4 + 8*sqrt(x^4 + 1)*x^2 - 4*(2*x^3 + sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1)/(x^4 + 1)) - 4*(x^7 + 3*x^3 - (x^5 + 4*x)*sqrt(x^4 + 1))*sqrt(x^2 + sqrt(x^4 + 1)))/(x^4 + 1)","A",0
2375,1,384,0,4.952480," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/(x^2+1)^2/(x^4+1)^(1/2),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{2} + 1\right)} \sqrt{5 \, \sqrt{2} - 1} \arctan\left(\frac{{\left(21 \, x^{2} + 7 \, \sqrt{2} {\left(x^{2} + 2\right)} + \sqrt{x^{4} + 1} {\left({\left(\sqrt{2} + 3\right)} \sqrt{-98 \, \sqrt{2} + 147} - 7 \, \sqrt{2} - 21\right)} - {\left(3 \, x^{2} + \sqrt{2} {\left(x^{2} + 4\right)} + 5\right)} \sqrt{-98 \, \sqrt{2} + 147} - 7\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{5 \, \sqrt{2} - 1}}{98 \, x}\right) + {\left(x^{2} + 1\right)} \sqrt{5 \, \sqrt{2} + 1} \log\left(\frac{7 \, \sqrt{2} x^{2} + 14 \, x^{2} + {\left(x^{3} + \sqrt{2} {\left(2 \, x^{3} + 3 \, x\right)} - \sqrt{x^{4} + 1} {\left(2 \, \sqrt{2} x + x\right)} + 5 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{5 \, \sqrt{2} + 1} + 7 \, \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)}}{x^{2} + 1}\right) - {\left(x^{2} + 1\right)} \sqrt{5 \, \sqrt{2} + 1} \log\left(\frac{7 \, \sqrt{2} x^{2} + 14 \, x^{2} - {\left(x^{3} + \sqrt{2} {\left(2 \, x^{3} + 3 \, x\right)} - \sqrt{x^{4} + 1} {\left(2 \, \sqrt{2} x + x\right)} + 5 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{5 \, \sqrt{2} + 1} + 7 \, \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)}}{x^{2} + 1}\right) - 4 \, {\left(x^{3} - \sqrt{x^{4} + 1} x + x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{16 \, {\left(x^{2} + 1\right)}}"," ",0,"1/16*(4*(x^2 + 1)*sqrt(5*sqrt(2) - 1)*arctan(1/98*(21*x^2 + 7*sqrt(2)*(x^2 + 2) + sqrt(x^4 + 1)*((sqrt(2) + 3)*sqrt(-98*sqrt(2) + 147) - 7*sqrt(2) - 21) - (3*x^2 + sqrt(2)*(x^2 + 4) + 5)*sqrt(-98*sqrt(2) + 147) - 7)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(5*sqrt(2) - 1)/x) + (x^2 + 1)*sqrt(5*sqrt(2) + 1)*log((7*sqrt(2)*x^2 + 14*x^2 + (x^3 + sqrt(2)*(2*x^3 + 3*x) - sqrt(x^4 + 1)*(2*sqrt(2)*x + x) + 5*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(5*sqrt(2) + 1) + 7*sqrt(x^4 + 1)*(sqrt(2) + 1))/(x^2 + 1)) - (x^2 + 1)*sqrt(5*sqrt(2) + 1)*log((7*sqrt(2)*x^2 + 14*x^2 - (x^3 + sqrt(2)*(2*x^3 + 3*x) - sqrt(x^4 + 1)*(2*sqrt(2)*x + x) + 5*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(5*sqrt(2) + 1) + 7*sqrt(x^4 + 1)*(sqrt(2) + 1))/(x^2 + 1)) - 4*(x^3 - sqrt(x^4 + 1)*x + x)*sqrt(x^2 + sqrt(x^4 + 1)))/(x^2 + 1)","B",0
2376,1,1321,0,91.410825," ","integrate((p*x^5+q)^(1/2)*(3*p*x^5-2*q)/(c*x^4+b*x^2*(p*x^5+q)+a*(p*x^5+q)^2),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{2} \sqrt{-\frac{b + \frac{a b^{2} - 4 \, a^{2} c}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a b^{2} - 4 \, a^{2} c}} \log\left(\frac{2 \, a p^{2} x^{10} + 4 \, a p q x^{5} - 2 \, c x^{4} + 2 \, a q^{2} + \sqrt{2} \sqrt{p x^{5} + q} {\left({\left(b^{2} - 4 \, a c\right)} x^{3} - \frac{2 \, {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} p x^{6} + {\left(a b^{3} - 4 \, a^{2} b c\right)} x^{3} + 2 \, {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} q x}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}\right)} \sqrt{-\frac{b + \frac{a b^{2} - 4 \, a^{2} c}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a b^{2} - 4 \, a^{2} c}} - \frac{2 \, {\left({\left(a b^{2} - 4 \, a^{2} c\right)} p x^{7} + {\left(a b^{2} - 4 \, a^{2} c\right)} q x^{2}\right)}}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a p^{2} x^{10} + b p x^{7} + 2 \, a p q x^{5} + c x^{4} + b q x^{2} + a q^{2}}\right) + \frac{1}{4} \, \sqrt{2} \sqrt{-\frac{b + \frac{a b^{2} - 4 \, a^{2} c}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a b^{2} - 4 \, a^{2} c}} \log\left(\frac{2 \, a p^{2} x^{10} + 4 \, a p q x^{5} - 2 \, c x^{4} + 2 \, a q^{2} - \sqrt{2} \sqrt{p x^{5} + q} {\left({\left(b^{2} - 4 \, a c\right)} x^{3} - \frac{2 \, {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} p x^{6} + {\left(a b^{3} - 4 \, a^{2} b c\right)} x^{3} + 2 \, {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} q x}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}\right)} \sqrt{-\frac{b + \frac{a b^{2} - 4 \, a^{2} c}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a b^{2} - 4 \, a^{2} c}} - \frac{2 \, {\left({\left(a b^{2} - 4 \, a^{2} c\right)} p x^{7} + {\left(a b^{2} - 4 \, a^{2} c\right)} q x^{2}\right)}}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a p^{2} x^{10} + b p x^{7} + 2 \, a p q x^{5} + c x^{4} + b q x^{2} + a q^{2}}\right) - \frac{1}{4} \, \sqrt{2} \sqrt{-\frac{b - \frac{a b^{2} - 4 \, a^{2} c}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a b^{2} - 4 \, a^{2} c}} \log\left(\frac{2 \, a p^{2} x^{10} + 4 \, a p q x^{5} - 2 \, c x^{4} + 2 \, a q^{2} + \sqrt{2} \sqrt{p x^{5} + q} {\left({\left(b^{2} - 4 \, a c\right)} x^{3} + \frac{2 \, {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} p x^{6} + {\left(a b^{3} - 4 \, a^{2} b c\right)} x^{3} + 2 \, {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} q x}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}\right)} \sqrt{-\frac{b - \frac{a b^{2} - 4 \, a^{2} c}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a b^{2} - 4 \, a^{2} c}} + \frac{2 \, {\left({\left(a b^{2} - 4 \, a^{2} c\right)} p x^{7} + {\left(a b^{2} - 4 \, a^{2} c\right)} q x^{2}\right)}}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a p^{2} x^{10} + b p x^{7} + 2 \, a p q x^{5} + c x^{4} + b q x^{2} + a q^{2}}\right) + \frac{1}{4} \, \sqrt{2} \sqrt{-\frac{b - \frac{a b^{2} - 4 \, a^{2} c}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a b^{2} - 4 \, a^{2} c}} \log\left(\frac{2 \, a p^{2} x^{10} + 4 \, a p q x^{5} - 2 \, c x^{4} + 2 \, a q^{2} - \sqrt{2} \sqrt{p x^{5} + q} {\left({\left(b^{2} - 4 \, a c\right)} x^{3} + \frac{2 \, {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} p x^{6} + {\left(a b^{3} - 4 \, a^{2} b c\right)} x^{3} + 2 \, {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} q x}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}\right)} \sqrt{-\frac{b - \frac{a b^{2} - 4 \, a^{2} c}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a b^{2} - 4 \, a^{2} c}} + \frac{2 \, {\left({\left(a b^{2} - 4 \, a^{2} c\right)} p x^{7} + {\left(a b^{2} - 4 \, a^{2} c\right)} q x^{2}\right)}}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a p^{2} x^{10} + b p x^{7} + 2 \, a p q x^{5} + c x^{4} + b q x^{2} + a q^{2}}\right)"," ",0,"-1/4*sqrt(2)*sqrt(-(b + (a*b^2 - 4*a^2*c)/sqrt(a^2*b^2 - 4*a^3*c))/(a*b^2 - 4*a^2*c))*log((2*a*p^2*x^10 + 4*a*p*q*x^5 - 2*c*x^4 + 2*a*q^2 + sqrt(2)*sqrt(p*x^5 + q)*((b^2 - 4*a*c)*x^3 - (2*(a^2*b^2 - 4*a^3*c)*p*x^6 + (a*b^3 - 4*a^2*b*c)*x^3 + 2*(a^2*b^2 - 4*a^3*c)*q*x)/sqrt(a^2*b^2 - 4*a^3*c))*sqrt(-(b + (a*b^2 - 4*a^2*c)/sqrt(a^2*b^2 - 4*a^3*c))/(a*b^2 - 4*a^2*c)) - 2*((a*b^2 - 4*a^2*c)*p*x^7 + (a*b^2 - 4*a^2*c)*q*x^2)/sqrt(a^2*b^2 - 4*a^3*c))/(a*p^2*x^10 + b*p*x^7 + 2*a*p*q*x^5 + c*x^4 + b*q*x^2 + a*q^2)) + 1/4*sqrt(2)*sqrt(-(b + (a*b^2 - 4*a^2*c)/sqrt(a^2*b^2 - 4*a^3*c))/(a*b^2 - 4*a^2*c))*log((2*a*p^2*x^10 + 4*a*p*q*x^5 - 2*c*x^4 + 2*a*q^2 - sqrt(2)*sqrt(p*x^5 + q)*((b^2 - 4*a*c)*x^3 - (2*(a^2*b^2 - 4*a^3*c)*p*x^6 + (a*b^3 - 4*a^2*b*c)*x^3 + 2*(a^2*b^2 - 4*a^3*c)*q*x)/sqrt(a^2*b^2 - 4*a^3*c))*sqrt(-(b + (a*b^2 - 4*a^2*c)/sqrt(a^2*b^2 - 4*a^3*c))/(a*b^2 - 4*a^2*c)) - 2*((a*b^2 - 4*a^2*c)*p*x^7 + (a*b^2 - 4*a^2*c)*q*x^2)/sqrt(a^2*b^2 - 4*a^3*c))/(a*p^2*x^10 + b*p*x^7 + 2*a*p*q*x^5 + c*x^4 + b*q*x^2 + a*q^2)) - 1/4*sqrt(2)*sqrt(-(b - (a*b^2 - 4*a^2*c)/sqrt(a^2*b^2 - 4*a^3*c))/(a*b^2 - 4*a^2*c))*log((2*a*p^2*x^10 + 4*a*p*q*x^5 - 2*c*x^4 + 2*a*q^2 + sqrt(2)*sqrt(p*x^5 + q)*((b^2 - 4*a*c)*x^3 + (2*(a^2*b^2 - 4*a^3*c)*p*x^6 + (a*b^3 - 4*a^2*b*c)*x^3 + 2*(a^2*b^2 - 4*a^3*c)*q*x)/sqrt(a^2*b^2 - 4*a^3*c))*sqrt(-(b - (a*b^2 - 4*a^2*c)/sqrt(a^2*b^2 - 4*a^3*c))/(a*b^2 - 4*a^2*c)) + 2*((a*b^2 - 4*a^2*c)*p*x^7 + (a*b^2 - 4*a^2*c)*q*x^2)/sqrt(a^2*b^2 - 4*a^3*c))/(a*p^2*x^10 + b*p*x^7 + 2*a*p*q*x^5 + c*x^4 + b*q*x^2 + a*q^2)) + 1/4*sqrt(2)*sqrt(-(b - (a*b^2 - 4*a^2*c)/sqrt(a^2*b^2 - 4*a^3*c))/(a*b^2 - 4*a^2*c))*log((2*a*p^2*x^10 + 4*a*p*q*x^5 - 2*c*x^4 + 2*a*q^2 - sqrt(2)*sqrt(p*x^5 + q)*((b^2 - 4*a*c)*x^3 + (2*(a^2*b^2 - 4*a^3*c)*p*x^6 + (a*b^3 - 4*a^2*b*c)*x^3 + 2*(a^2*b^2 - 4*a^3*c)*q*x)/sqrt(a^2*b^2 - 4*a^3*c))*sqrt(-(b - (a*b^2 - 4*a^2*c)/sqrt(a^2*b^2 - 4*a^3*c))/(a*b^2 - 4*a^2*c)) + 2*((a*b^2 - 4*a^2*c)*p*x^7 + (a*b^2 - 4*a^2*c)*q*x^2)/sqrt(a^2*b^2 - 4*a^3*c))/(a*p^2*x^10 + b*p*x^7 + 2*a*p*q*x^5 + c*x^4 + b*q*x^2 + a*q^2))","B",0
2377,-1,0,0,0.000000," ","integrate(1/x/(a*x+(a^2*x^2-b)^(1/2))^(1/2)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2378,1,1395,0,2.072610," ","integrate(1/(x^2+1)^(1/3)/(x^2+9),x, algorithm=""fricas"")","\frac{1}{144} \, \sqrt{3} \log\left(\frac{4 \, {\left(x^{6} + 1647 \, x^{4} + 891 \, x^{2} + 18 \, {\left(3 \, x^{4} + 32 \, \sqrt{3} x^{3} + 126 \, x^{2} + 27\right)} {\left(x^{2} + 1\right)}^{\frac{2}{3}} + 108 \, \sqrt{3} {\left(x^{5} + 10 \, x^{3} + 9 \, x\right)} + 6 \, {\left(81 \, x^{4} + 162 \, x^{2} + \sqrt{3} {\left(x^{5} + 210 \, x^{3} + 81 \, x\right)} + 81\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}} - 243\right)}}{x^{6} + 27 \, x^{4} + 243 \, x^{2} + 729}\right) - \frac{1}{144} \, \sqrt{3} \log\left(\frac{4 \, {\left(x^{6} + 1647 \, x^{4} + 891 \, x^{2} + 18 \, {\left(3 \, x^{4} - 32 \, \sqrt{3} x^{3} + 126 \, x^{2} + 27\right)} {\left(x^{2} + 1\right)}^{\frac{2}{3}} - 108 \, \sqrt{3} {\left(x^{5} + 10 \, x^{3} + 9 \, x\right)} + 6 \, {\left(81 \, x^{4} + 162 \, x^{2} - \sqrt{3} {\left(x^{5} + 210 \, x^{3} + 81 \, x\right)} + 81\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}} - 243\right)}}{x^{6} + 27 \, x^{4} + 243 \, x^{2} + 729}\right) - \frac{1}{36} \, \arctan\left(\frac{384 \, x^{11} - 130320 \, x^{9} + 2379456 \, x^{7} - 629856 \, x^{5} - 1259712 \, x^{3} + 36 \, {\left(388 \, x^{9} - 27864 \, x^{7} + 303264 \, x^{5} + 17496 \, x^{3} + \sqrt{3} {\left(x^{10} + 549 \, x^{8} - 8046 \, x^{6} + 129762 \, x^{4} - 19683 \, x^{2} + 59049\right)} - 236196 \, x\right)} {\left(x^{2} + 1\right)}^{\frac{2}{3}} + \sqrt{3} {\left(x^{12} - 234 \, x^{10} + 229311 \, x^{8} - 1214028 \, x^{6} + 6816879 \, x^{4} + 6022998 \, x^{2} + 531441\right)} + 2 \, {\left(x^{12} + 50616 \, x^{10} - 1869399 \, x^{8} - 3773304 \, x^{6} - 6908733 \, x^{4} + 72 \, {\left(x^{10} + 1620 \, x^{8} - 63666 \, x^{6} - 43740 \, x^{4} + 59049 \, x^{2} + 12 \, \sqrt{3} {\left(11 \, x^{9} - 261 \, x^{7} - 6075 \, x^{5} - 2187 \, x^{3}\right)}\right)} {\left(x^{2} + 1\right)}^{\frac{2}{3}} + 6 \, \sqrt{3} {\left(43 \, x^{11} + 14055 \, x^{9} - 563922 \, x^{7} - 1307826 \, x^{5} - 898857 \, x^{3} + 177147 \, x\right)} + 6 \, {\left(453 \, x^{10} + 21141 \, x^{8} - 1483758 \, x^{6} - 1404054 \, x^{4} - 885735 \, x^{2} + \sqrt{3} {\left(x^{11} + 8985 \, x^{9} - 349110 \, x^{7} + 118098 \, x^{5} + 32805 \, x^{3} - 177147 \, x\right)} + 531441\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}} + 1594323\right)} \sqrt{\frac{x^{6} + 1647 \, x^{4} + 891 \, x^{2} + 18 \, {\left(3 \, x^{4} - 32 \, \sqrt{3} x^{3} + 126 \, x^{2} + 27\right)} {\left(x^{2} + 1\right)}^{\frac{2}{3}} - 108 \, \sqrt{3} {\left(x^{5} + 10 \, x^{3} + 9 \, x\right)} + 6 \, {\left(81 \, x^{4} + 162 \, x^{2} - \sqrt{3} {\left(x^{5} + 210 \, x^{3} + 81 \, x\right)} + 81\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}} - 243}{x^{6} + 27 \, x^{4} + 243 \, x^{2} + 729}} + 12 \, {\left(x^{11} - 6423 \, x^{9} + 225018 \, x^{7} - 1106622 \, x^{5} - 1541835 \, x^{3} + 3 \, \sqrt{3} {\left(37 \, x^{10} - 675 \, x^{8} + 34722 \, x^{6} - 97686 \, x^{4} + 59049 \, x^{2} + 59049\right)} - 177147 \, x\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}} - 8503056 \, x}{x^{12} - 48978 \, x^{10} + 2332071 \, x^{8} - 16419996 \, x^{6} - 24151041 \, x^{4} - 9565938 \, x^{2} + 4782969}\right) + \frac{1}{36} \, \arctan\left(-\frac{384 \, x^{11} - 130320 \, x^{9} + 2379456 \, x^{7} - 629856 \, x^{5} - 1259712 \, x^{3} + 36 \, {\left(388 \, x^{9} - 27864 \, x^{7} + 303264 \, x^{5} + 17496 \, x^{3} - \sqrt{3} {\left(x^{10} + 549 \, x^{8} - 8046 \, x^{6} + 129762 \, x^{4} - 19683 \, x^{2} + 59049\right)} - 236196 \, x\right)} {\left(x^{2} + 1\right)}^{\frac{2}{3}} - \sqrt{3} {\left(x^{12} - 234 \, x^{10} + 229311 \, x^{8} - 1214028 \, x^{6} + 6816879 \, x^{4} + 6022998 \, x^{2} + 531441\right)} + 2 \, {\left(x^{12} + 50616 \, x^{10} - 1869399 \, x^{8} - 3773304 \, x^{6} - 6908733 \, x^{4} + 72 \, {\left(x^{10} + 1620 \, x^{8} - 63666 \, x^{6} - 43740 \, x^{4} + 59049 \, x^{2} - 12 \, \sqrt{3} {\left(11 \, x^{9} - 261 \, x^{7} - 6075 \, x^{5} - 2187 \, x^{3}\right)}\right)} {\left(x^{2} + 1\right)}^{\frac{2}{3}} - 6 \, \sqrt{3} {\left(43 \, x^{11} + 14055 \, x^{9} - 563922 \, x^{7} - 1307826 \, x^{5} - 898857 \, x^{3} + 177147 \, x\right)} + 6 \, {\left(453 \, x^{10} + 21141 \, x^{8} - 1483758 \, x^{6} - 1404054 \, x^{4} - 885735 \, x^{2} - \sqrt{3} {\left(x^{11} + 8985 \, x^{9} - 349110 \, x^{7} + 118098 \, x^{5} + 32805 \, x^{3} - 177147 \, x\right)} + 531441\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}} + 1594323\right)} \sqrt{\frac{x^{6} + 1647 \, x^{4} + 891 \, x^{2} + 18 \, {\left(3 \, x^{4} + 32 \, \sqrt{3} x^{3} + 126 \, x^{2} + 27\right)} {\left(x^{2} + 1\right)}^{\frac{2}{3}} + 108 \, \sqrt{3} {\left(x^{5} + 10 \, x^{3} + 9 \, x\right)} + 6 \, {\left(81 \, x^{4} + 162 \, x^{2} + \sqrt{3} {\left(x^{5} + 210 \, x^{3} + 81 \, x\right)} + 81\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}} - 243}{x^{6} + 27 \, x^{4} + 243 \, x^{2} + 729}} + 12 \, {\left(x^{11} - 6423 \, x^{9} + 225018 \, x^{7} - 1106622 \, x^{5} - 1541835 \, x^{3} - 3 \, \sqrt{3} {\left(37 \, x^{10} - 675 \, x^{8} + 34722 \, x^{6} - 97686 \, x^{4} + 59049 \, x^{2} + 59049\right)} - 177147 \, x\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}} - 8503056 \, x}{x^{12} - 48978 \, x^{10} + 2332071 \, x^{8} - 16419996 \, x^{6} - 24151041 \, x^{4} - 9565938 \, x^{2} + 4782969}\right) - \frac{1}{36} \, \arctan\left(\frac{6 \, {\left(11 \, x^{5} + 30 \, x^{3} + 6 \, {\left(23 \, x^{3} + 27 \, x\right)} {\left(x^{2} + 1\right)}^{\frac{2}{3}} + {\left(x^{5} - 240 \, x^{3} - 81 \, x\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}} - 81 \, x\right)}}{x^{6} - 1971 \, x^{4} - 1701 \, x^{2} - 729}\right)"," ",0,"1/144*sqrt(3)*log(4*(x^6 + 1647*x^4 + 891*x^2 + 18*(3*x^4 + 32*sqrt(3)*x^3 + 126*x^2 + 27)*(x^2 + 1)^(2/3) + 108*sqrt(3)*(x^5 + 10*x^3 + 9*x) + 6*(81*x^4 + 162*x^2 + sqrt(3)*(x^5 + 210*x^3 + 81*x) + 81)*(x^2 + 1)^(1/3) - 243)/(x^6 + 27*x^4 + 243*x^2 + 729)) - 1/144*sqrt(3)*log(4*(x^6 + 1647*x^4 + 891*x^2 + 18*(3*x^4 - 32*sqrt(3)*x^3 + 126*x^2 + 27)*(x^2 + 1)^(2/3) - 108*sqrt(3)*(x^5 + 10*x^3 + 9*x) + 6*(81*x^4 + 162*x^2 - sqrt(3)*(x^5 + 210*x^3 + 81*x) + 81)*(x^2 + 1)^(1/3) - 243)/(x^6 + 27*x^4 + 243*x^2 + 729)) - 1/36*arctan((384*x^11 - 130320*x^9 + 2379456*x^7 - 629856*x^5 - 1259712*x^3 + 36*(388*x^9 - 27864*x^7 + 303264*x^5 + 17496*x^3 + sqrt(3)*(x^10 + 549*x^8 - 8046*x^6 + 129762*x^4 - 19683*x^2 + 59049) - 236196*x)*(x^2 + 1)^(2/3) + sqrt(3)*(x^12 - 234*x^10 + 229311*x^8 - 1214028*x^6 + 6816879*x^4 + 6022998*x^2 + 531441) + 2*(x^12 + 50616*x^10 - 1869399*x^8 - 3773304*x^6 - 6908733*x^4 + 72*(x^10 + 1620*x^8 - 63666*x^6 - 43740*x^4 + 59049*x^2 + 12*sqrt(3)*(11*x^9 - 261*x^7 - 6075*x^5 - 2187*x^3))*(x^2 + 1)^(2/3) + 6*sqrt(3)*(43*x^11 + 14055*x^9 - 563922*x^7 - 1307826*x^5 - 898857*x^3 + 177147*x) + 6*(453*x^10 + 21141*x^8 - 1483758*x^6 - 1404054*x^4 - 885735*x^2 + sqrt(3)*(x^11 + 8985*x^9 - 349110*x^7 + 118098*x^5 + 32805*x^3 - 177147*x) + 531441)*(x^2 + 1)^(1/3) + 1594323)*sqrt((x^6 + 1647*x^4 + 891*x^2 + 18*(3*x^4 - 32*sqrt(3)*x^3 + 126*x^2 + 27)*(x^2 + 1)^(2/3) - 108*sqrt(3)*(x^5 + 10*x^3 + 9*x) + 6*(81*x^4 + 162*x^2 - sqrt(3)*(x^5 + 210*x^3 + 81*x) + 81)*(x^2 + 1)^(1/3) - 243)/(x^6 + 27*x^4 + 243*x^2 + 729)) + 12*(x^11 - 6423*x^9 + 225018*x^7 - 1106622*x^5 - 1541835*x^3 + 3*sqrt(3)*(37*x^10 - 675*x^8 + 34722*x^6 - 97686*x^4 + 59049*x^2 + 59049) - 177147*x)*(x^2 + 1)^(1/3) - 8503056*x)/(x^12 - 48978*x^10 + 2332071*x^8 - 16419996*x^6 - 24151041*x^4 - 9565938*x^2 + 4782969)) + 1/36*arctan(-(384*x^11 - 130320*x^9 + 2379456*x^7 - 629856*x^5 - 1259712*x^3 + 36*(388*x^9 - 27864*x^7 + 303264*x^5 + 17496*x^3 - sqrt(3)*(x^10 + 549*x^8 - 8046*x^6 + 129762*x^4 - 19683*x^2 + 59049) - 236196*x)*(x^2 + 1)^(2/3) - sqrt(3)*(x^12 - 234*x^10 + 229311*x^8 - 1214028*x^6 + 6816879*x^4 + 6022998*x^2 + 531441) + 2*(x^12 + 50616*x^10 - 1869399*x^8 - 3773304*x^6 - 6908733*x^4 + 72*(x^10 + 1620*x^8 - 63666*x^6 - 43740*x^4 + 59049*x^2 - 12*sqrt(3)*(11*x^9 - 261*x^7 - 6075*x^5 - 2187*x^3))*(x^2 + 1)^(2/3) - 6*sqrt(3)*(43*x^11 + 14055*x^9 - 563922*x^7 - 1307826*x^5 - 898857*x^3 + 177147*x) + 6*(453*x^10 + 21141*x^8 - 1483758*x^6 - 1404054*x^4 - 885735*x^2 - sqrt(3)*(x^11 + 8985*x^9 - 349110*x^7 + 118098*x^5 + 32805*x^3 - 177147*x) + 531441)*(x^2 + 1)^(1/3) + 1594323)*sqrt((x^6 + 1647*x^4 + 891*x^2 + 18*(3*x^4 + 32*sqrt(3)*x^3 + 126*x^2 + 27)*(x^2 + 1)^(2/3) + 108*sqrt(3)*(x^5 + 10*x^3 + 9*x) + 6*(81*x^4 + 162*x^2 + sqrt(3)*(x^5 + 210*x^3 + 81*x) + 81)*(x^2 + 1)^(1/3) - 243)/(x^6 + 27*x^4 + 243*x^2 + 729)) + 12*(x^11 - 6423*x^9 + 225018*x^7 - 1106622*x^5 - 1541835*x^3 - 3*sqrt(3)*(37*x^10 - 675*x^8 + 34722*x^6 - 97686*x^4 + 59049*x^2 + 59049) - 177147*x)*(x^2 + 1)^(1/3) - 8503056*x)/(x^12 - 48978*x^10 + 2332071*x^8 - 16419996*x^6 - 24151041*x^4 - 9565938*x^2 + 4782969)) - 1/36*arctan(6*(11*x^5 + 30*x^3 + 6*(23*x^3 + 27*x)*(x^2 + 1)^(2/3) + (x^5 - 240*x^3 - 81*x)*(x^2 + 1)^(1/3) - 81*x)/(x^6 - 1971*x^4 - 1701*x^2 - 729))","B",0
2379,1,1787,0,0.594532," ","integrate((a^3*x^2+b)/(a^3*x^2-b)/(a^3*x^3-b*x^2)^(1/3),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{3} a \left(\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} - b}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} x \left(\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} - b}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x - {\left(a^{6} - a^{3} b\right)} x \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} - b}\right)^{\frac{2}{3}} + {\left(a^{3} x^{2} - {\left(a^{6} - a^{3} b\right)} x^{2} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} - b}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - \sqrt{3} x - 2 \, \sqrt{3} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} \left(\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} - b}\right)^{\frac{1}{3}}}{3 \, x}\right) + 4 \, \sqrt{3} a \left(-\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} - b}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} x \left(-\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} - b}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x + {\left(a^{6} - a^{3} b\right)} x \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(-\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} - b}\right)^{\frac{2}{3}} + {\left(a^{3} x^{2} + {\left(a^{6} - a^{3} b\right)} x^{2} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(-\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} - b}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - \sqrt{3} x - 2 \, \sqrt{3} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} \left(-\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} - b}\right)^{\frac{1}{3}}}{3 \, x}\right) - 2 \, a \left(\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} - b}\right)^{\frac{1}{3}} \log\left(-\frac{2 \, {\left({\left(a^{3} x - {\left(a^{6} - a^{3} b\right)} x \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} - b}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}}\right)}}{x}\right) - 2 \, a \left(-\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} - b}\right)^{\frac{1}{3}} \log\left(-\frac{2 \, {\left({\left(a^{3} x + {\left(a^{6} - a^{3} b\right)} x \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(-\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} - b}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}}\right)}}{x}\right) + a \left(\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} - b}\right)^{\frac{1}{3}} \log\left(\frac{16 \, {\left({\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x - {\left(a^{6} - a^{3} b\right)} x \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} - b}\right)^{\frac{2}{3}} + {\left(a^{3} x^{2} - {\left(a^{6} - a^{3} b\right)} x^{2} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} - b}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + a \left(-\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} - b}\right)^{\frac{1}{3}} \log\left(\frac{16 \, {\left({\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x + {\left(a^{6} - a^{3} b\right)} x \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(-\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} - b}\right)^{\frac{2}{3}} + {\left(a^{3} x^{2} + {\left(a^{6} - a^{3} b\right)} x^{2} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(-\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} - b}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + 2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} a x + 2 \, \sqrt{3} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}}}{3 \, a x}\right) + 2 \, \log\left(-\frac{a x - {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \log\left(\frac{a^{2} x^{2} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} a x + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{2 \, a}"," ",0,"-1/2*(4*sqrt(3)*a*(((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) + 1)/(a^3 - b))^(1/3)*arctan(1/3*(2*sqrt(3)*x*(((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) + 1)/(a^3 - b))^(1/3)*sqrt(((a^3*x^3 - b*x^2)^(1/3)*(a^3*x - (a^6 - a^3*b)*x*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)))*(((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) + 1)/(a^3 - b))^(2/3) + (a^3*x^2 - (a^6 - a^3*b)*x^2*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)))*(((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) + 1)/(a^3 - b))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) - sqrt(3)*x - 2*sqrt(3)*(a^3*x^3 - b*x^2)^(1/3)*(((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) + 1)/(a^3 - b))^(1/3))/x) + 4*sqrt(3)*a*(-((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) - 1)/(a^3 - b))^(1/3)*arctan(1/3*(2*sqrt(3)*x*(-((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) - 1)/(a^3 - b))^(1/3)*sqrt(((a^3*x^3 - b*x^2)^(1/3)*(a^3*x + (a^6 - a^3*b)*x*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)))*(-((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) - 1)/(a^3 - b))^(2/3) + (a^3*x^2 + (a^6 - a^3*b)*x^2*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)))*(-((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) - 1)/(a^3 - b))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) - sqrt(3)*x - 2*sqrt(3)*(a^3*x^3 - b*x^2)^(1/3)*(-((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) - 1)/(a^3 - b))^(1/3))/x) - 2*a*(((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) + 1)/(a^3 - b))^(1/3)*log(-2*((a^3*x - (a^6 - a^3*b)*x*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)))*(((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) + 1)/(a^3 - b))^(2/3) - (a^3*x^3 - b*x^2)^(1/3))/x) - 2*a*(-((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) - 1)/(a^3 - b))^(1/3)*log(-2*((a^3*x + (a^6 - a^3*b)*x*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)))*(-((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) - 1)/(a^3 - b))^(2/3) - (a^3*x^3 - b*x^2)^(1/3))/x) + a*(((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) + 1)/(a^3 - b))^(1/3)*log(16*((a^3*x^3 - b*x^2)^(1/3)*(a^3*x - (a^6 - a^3*b)*x*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)))*(((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) + 1)/(a^3 - b))^(2/3) + (a^3*x^2 - (a^6 - a^3*b)*x^2*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)))*(((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) + 1)/(a^3 - b))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) + a*(-((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) - 1)/(a^3 - b))^(1/3)*log(16*((a^3*x^3 - b*x^2)^(1/3)*(a^3*x + (a^6 - a^3*b)*x*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)))*(-((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) - 1)/(a^3 - b))^(2/3) + (a^3*x^2 + (a^6 - a^3*b)*x^2*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)))*(-((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) - 1)/(a^3 - b))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) + 2*sqrt(3)*arctan(1/3*(sqrt(3)*a*x + 2*sqrt(3)*(a^3*x^3 - b*x^2)^(1/3))/(a*x)) + 2*log(-(a*x - (a^3*x^3 - b*x^2)^(1/3))/x) - log((a^2*x^2 + (a^3*x^3 - b*x^2)^(1/3)*a*x + (a^3*x^3 - b*x^2)^(2/3))/x^2))/a","B",0
2380,1,1787,0,0.622539," ","integrate((a^3*x^2+b)/(a^3*x^2-b)/(a^3*x^3-b*x^2)^(1/3),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{3} a \left(\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} - b}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} x \left(\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} - b}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x - {\left(a^{6} - a^{3} b\right)} x \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} - b}\right)^{\frac{2}{3}} + {\left(a^{3} x^{2} - {\left(a^{6} - a^{3} b\right)} x^{2} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} - b}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - \sqrt{3} x - 2 \, \sqrt{3} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} \left(\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} - b}\right)^{\frac{1}{3}}}{3 \, x}\right) + 4 \, \sqrt{3} a \left(-\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} - b}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} x \left(-\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} - b}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x + {\left(a^{6} - a^{3} b\right)} x \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(-\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} - b}\right)^{\frac{2}{3}} + {\left(a^{3} x^{2} + {\left(a^{6} - a^{3} b\right)} x^{2} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(-\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} - b}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - \sqrt{3} x - 2 \, \sqrt{3} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} \left(-\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} - b}\right)^{\frac{1}{3}}}{3 \, x}\right) - 2 \, a \left(\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} - b}\right)^{\frac{1}{3}} \log\left(-\frac{2 \, {\left({\left(a^{3} x - {\left(a^{6} - a^{3} b\right)} x \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} - b}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}}\right)}}{x}\right) - 2 \, a \left(-\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} - b}\right)^{\frac{1}{3}} \log\left(-\frac{2 \, {\left({\left(a^{3} x + {\left(a^{6} - a^{3} b\right)} x \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(-\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} - b}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}}\right)}}{x}\right) + a \left(\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} - b}\right)^{\frac{1}{3}} \log\left(\frac{16 \, {\left({\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x - {\left(a^{6} - a^{3} b\right)} x \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} - b}\right)^{\frac{2}{3}} + {\left(a^{3} x^{2} - {\left(a^{6} - a^{3} b\right)} x^{2} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} + 1}{a^{3} - b}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + a \left(-\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} - b}\right)^{\frac{1}{3}} \log\left(\frac{16 \, {\left({\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x + {\left(a^{6} - a^{3} b\right)} x \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(-\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} - b}\right)^{\frac{2}{3}} + {\left(a^{3} x^{2} + {\left(a^{6} - a^{3} b\right)} x^{2} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}}\right)} \left(-\frac{{\left(a^{3} - b\right)} \sqrt{\frac{b}{a^{9} - 2 \, a^{6} b + a^{3} b^{2}}} - 1}{a^{3} - b}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + 2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} a x + 2 \, \sqrt{3} {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}}}{3 \, a x}\right) + 2 \, \log\left(-\frac{a x - {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \log\left(\frac{a^{2} x^{2} + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} a x + {\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{2 \, a}"," ",0,"-1/2*(4*sqrt(3)*a*(((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) + 1)/(a^3 - b))^(1/3)*arctan(1/3*(2*sqrt(3)*x*(((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) + 1)/(a^3 - b))^(1/3)*sqrt(((a^3*x^3 - b*x^2)^(1/3)*(a^3*x - (a^6 - a^3*b)*x*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)))*(((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) + 1)/(a^3 - b))^(2/3) + (a^3*x^2 - (a^6 - a^3*b)*x^2*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)))*(((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) + 1)/(a^3 - b))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) - sqrt(3)*x - 2*sqrt(3)*(a^3*x^3 - b*x^2)^(1/3)*(((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) + 1)/(a^3 - b))^(1/3))/x) + 4*sqrt(3)*a*(-((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) - 1)/(a^3 - b))^(1/3)*arctan(1/3*(2*sqrt(3)*x*(-((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) - 1)/(a^3 - b))^(1/3)*sqrt(((a^3*x^3 - b*x^2)^(1/3)*(a^3*x + (a^6 - a^3*b)*x*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)))*(-((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) - 1)/(a^3 - b))^(2/3) + (a^3*x^2 + (a^6 - a^3*b)*x^2*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)))*(-((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) - 1)/(a^3 - b))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) - sqrt(3)*x - 2*sqrt(3)*(a^3*x^3 - b*x^2)^(1/3)*(-((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) - 1)/(a^3 - b))^(1/3))/x) - 2*a*(((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) + 1)/(a^3 - b))^(1/3)*log(-2*((a^3*x - (a^6 - a^3*b)*x*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)))*(((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) + 1)/(a^3 - b))^(2/3) - (a^3*x^3 - b*x^2)^(1/3))/x) - 2*a*(-((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) - 1)/(a^3 - b))^(1/3)*log(-2*((a^3*x + (a^6 - a^3*b)*x*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)))*(-((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) - 1)/(a^3 - b))^(2/3) - (a^3*x^3 - b*x^2)^(1/3))/x) + a*(((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) + 1)/(a^3 - b))^(1/3)*log(16*((a^3*x^3 - b*x^2)^(1/3)*(a^3*x - (a^6 - a^3*b)*x*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)))*(((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) + 1)/(a^3 - b))^(2/3) + (a^3*x^2 - (a^6 - a^3*b)*x^2*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)))*(((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) + 1)/(a^3 - b))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) + a*(-((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) - 1)/(a^3 - b))^(1/3)*log(16*((a^3*x^3 - b*x^2)^(1/3)*(a^3*x + (a^6 - a^3*b)*x*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)))*(-((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) - 1)/(a^3 - b))^(2/3) + (a^3*x^2 + (a^6 - a^3*b)*x^2*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)))*(-((a^3 - b)*sqrt(b/(a^9 - 2*a^6*b + a^3*b^2)) - 1)/(a^3 - b))^(1/3) + (a^3*x^3 - b*x^2)^(2/3))/x^2) + 2*sqrt(3)*arctan(1/3*(sqrt(3)*a*x + 2*sqrt(3)*(a^3*x^3 - b*x^2)^(1/3))/(a*x)) + 2*log(-(a*x - (a^3*x^3 - b*x^2)^(1/3))/x) - log((a^2*x^2 + (a^3*x^3 - b*x^2)^(1/3)*a*x + (a^3*x^3 - b*x^2)^(2/3))/x^2))/a","B",0
2381,-1,0,0,0.000000," ","integrate((-3-2*(k^2+1)*x+(k^2+1)*x^2+4*k^2*x^3+k^2*x^4)/((-x^2+1)*(-k^2*x^2+1))^(2/3)/(-1+d-(2+d)*x-(d*k^2+1)*x^2+d*k^2*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2382,1,1133,0,6.713919," ","integrate((x^5+x^3)^(1/4)*(x^8+x^4+1)/x^4/(x^4-1),x, algorithm=""fricas"")","\frac{108 \cdot 8^{\frac{3}{4}} \sqrt{2} x^{3} \arctan\left(\frac{8 \, x^{6} + 32 \, x^{5} + 48 \, x^{4} + 4 \cdot 8^{\frac{3}{4}} \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(x^{2} - 6 \, x + 1\right)} + 32 \, x^{3} + 16 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(3 \, x^{4} - 2 \, x^{3} + 3 \, x^{2}\right)} + 32 \, \sqrt{2} \sqrt{x^{5} + x^{3}} {\left(x^{3} + 2 \, x^{2} + x\right)} + 8 \, x^{2} + \sqrt{2} {\left(8^{\frac{3}{4}} \sqrt{2} {\left(x^{6} - 16 \, x^{5} - 2 \, x^{4} - 16 \, x^{3} + x^{2}\right)} + 8 \cdot 8^{\frac{1}{4}} \sqrt{2} \sqrt{x^{5} + x^{3}} {\left(x^{3} - 6 \, x^{2} + x\right)} + 128 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} x + 32 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)}\right)} \sqrt{\frac{8^{\frac{3}{4}} \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + 2 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} + \sqrt{2} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} + 8 \, \sqrt{x^{5} + x^{3}} x}{x^{4} + 2 \, x^{3} + x^{2}}}}{8 \, {\left(x^{6} - 28 \, x^{5} + 6 \, x^{4} - 28 \, x^{3} + x^{2}\right)}}\right) - 108 \cdot 8^{\frac{3}{4}} \sqrt{2} x^{3} \arctan\left(\frac{8 \, x^{6} + 32 \, x^{5} + 48 \, x^{4} - 4 \cdot 8^{\frac{3}{4}} \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(x^{2} - 6 \, x + 1\right)} + 32 \, x^{3} - 16 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(3 \, x^{4} - 2 \, x^{3} + 3 \, x^{2}\right)} + 32 \, \sqrt{2} \sqrt{x^{5} + x^{3}} {\left(x^{3} + 2 \, x^{2} + x\right)} + 8 \, x^{2} - \sqrt{2} {\left(8^{\frac{3}{4}} \sqrt{2} {\left(x^{6} - 16 \, x^{5} - 2 \, x^{4} - 16 \, x^{3} + x^{2}\right)} + 8 \cdot 8^{\frac{1}{4}} \sqrt{2} \sqrt{x^{5} + x^{3}} {\left(x^{3} - 6 \, x^{2} + x\right)} - 128 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} x - 32 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)}\right)} \sqrt{-\frac{8^{\frac{3}{4}} \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + 2 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} - \sqrt{2} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} - 8 \, \sqrt{x^{5} + x^{3}} x}{x^{4} + 2 \, x^{3} + x^{2}}}}{8 \, {\left(x^{6} - 28 \, x^{5} + 6 \, x^{4} - 28 \, x^{3} + x^{2}\right)}}\right) - 27 \cdot 8^{\frac{3}{4}} \sqrt{2} x^{3} \log\left(\frac{8 \, {\left(8^{\frac{3}{4}} \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + 2 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} + \sqrt{2} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} + 8 \, \sqrt{x^{5} + x^{3}} x\right)}}{x^{4} + 2 \, x^{3} + x^{2}}\right) + 27 \cdot 8^{\frac{3}{4}} \sqrt{2} x^{3} \log\left(-\frac{8 \, {\left(8^{\frac{3}{4}} \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + 2 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} - \sqrt{2} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} - 8 \, \sqrt{x^{5} + x^{3}} x\right)}}{x^{4} + 2 \, x^{3} + x^{2}}\right) - 216 \cdot 8^{\frac{3}{4}} x^{3} \arctan\left(-\frac{16 \cdot 8^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(8^{\frac{3}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} + 8 \cdot 8^{\frac{1}{4}} \sqrt{x^{5} + x^{3}} x\right)} + 4 \cdot 8^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{8 \, {\left(x^{4} - 2 \, x^{3} + x^{2}\right)}}\right) - 54 \cdot 8^{\frac{3}{4}} x^{3} \log\left(\frac{4 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + 8^{\frac{3}{4}} \sqrt{x^{5} + x^{3}} x + 8^{\frac{1}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} + 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} - 2 \, x^{3} + x^{2}}\right) + 54 \cdot 8^{\frac{3}{4}} x^{3} \log\left(\frac{4 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} - 8^{\frac{3}{4}} \sqrt{x^{5} + x^{3}} x - 8^{\frac{1}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} + 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} - 2 \, x^{3} + x^{2}}\right) + 512 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + 2 \, x^{2} + 1\right)}}{1152 \, x^{3}}"," ",0,"1/1152*(108*8^(3/4)*sqrt(2)*x^3*arctan(1/8*(8*x^6 + 32*x^5 + 48*x^4 + 4*8^(3/4)*sqrt(2)*(x^5 + x^3)^(3/4)*(x^2 - 6*x + 1) + 32*x^3 + 16*8^(1/4)*sqrt(2)*(x^5 + x^3)^(1/4)*(3*x^4 - 2*x^3 + 3*x^2) + 32*sqrt(2)*sqrt(x^5 + x^3)*(x^3 + 2*x^2 + x) + 8*x^2 + sqrt(2)*(8^(3/4)*sqrt(2)*(x^6 - 16*x^5 - 2*x^4 - 16*x^3 + x^2) + 8*8^(1/4)*sqrt(2)*sqrt(x^5 + x^3)*(x^3 - 6*x^2 + x) + 128*sqrt(2)*(x^5 + x^3)^(3/4)*x + 32*(x^5 + x^3)^(1/4)*(x^4 + 2*x^3 + x^2))*sqrt((8^(3/4)*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 + 2*8^(1/4)*sqrt(2)*(x^5 + x^3)^(3/4) + sqrt(2)*(x^4 + 2*x^3 + x^2) + 8*sqrt(x^5 + x^3)*x)/(x^4 + 2*x^3 + x^2)))/(x^6 - 28*x^5 + 6*x^4 - 28*x^3 + x^2)) - 108*8^(3/4)*sqrt(2)*x^3*arctan(1/8*(8*x^6 + 32*x^5 + 48*x^4 - 4*8^(3/4)*sqrt(2)*(x^5 + x^3)^(3/4)*(x^2 - 6*x + 1) + 32*x^3 - 16*8^(1/4)*sqrt(2)*(x^5 + x^3)^(1/4)*(3*x^4 - 2*x^3 + 3*x^2) + 32*sqrt(2)*sqrt(x^5 + x^3)*(x^3 + 2*x^2 + x) + 8*x^2 - sqrt(2)*(8^(3/4)*sqrt(2)*(x^6 - 16*x^5 - 2*x^4 - 16*x^3 + x^2) + 8*8^(1/4)*sqrt(2)*sqrt(x^5 + x^3)*(x^3 - 6*x^2 + x) - 128*sqrt(2)*(x^5 + x^3)^(3/4)*x - 32*(x^5 + x^3)^(1/4)*(x^4 + 2*x^3 + x^2))*sqrt(-(8^(3/4)*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 + 2*8^(1/4)*sqrt(2)*(x^5 + x^3)^(3/4) - sqrt(2)*(x^4 + 2*x^3 + x^2) - 8*sqrt(x^5 + x^3)*x)/(x^4 + 2*x^3 + x^2)))/(x^6 - 28*x^5 + 6*x^4 - 28*x^3 + x^2)) - 27*8^(3/4)*sqrt(2)*x^3*log(8*(8^(3/4)*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 + 2*8^(1/4)*sqrt(2)*(x^5 + x^3)^(3/4) + sqrt(2)*(x^4 + 2*x^3 + x^2) + 8*sqrt(x^5 + x^3)*x)/(x^4 + 2*x^3 + x^2)) + 27*8^(3/4)*sqrt(2)*x^3*log(-8*(8^(3/4)*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 + 2*8^(1/4)*sqrt(2)*(x^5 + x^3)^(3/4) - sqrt(2)*(x^4 + 2*x^3 + x^2) - 8*sqrt(x^5 + x^3)*x)/(x^4 + 2*x^3 + x^2)) - 216*8^(3/4)*x^3*arctan(-1/8*(16*8^(1/4)*(x^5 + x^3)^(1/4)*x^2 - 2^(3/4)*(8^(3/4)*(x^4 + 2*x^3 + x^2) + 8*8^(1/4)*sqrt(x^5 + x^3)*x) + 4*8^(3/4)*(x^5 + x^3)^(3/4))/(x^4 - 2*x^3 + x^2)) - 54*8^(3/4)*x^3*log((4*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 + 8^(3/4)*sqrt(x^5 + x^3)*x + 8^(1/4)*(x^4 + 2*x^3 + x^2) + 4*(x^5 + x^3)^(3/4))/(x^4 - 2*x^3 + x^2)) + 54*8^(3/4)*x^3*log((4*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 - 8^(3/4)*sqrt(x^5 + x^3)*x - 8^(1/4)*(x^4 + 2*x^3 + x^2) + 4*(x^5 + x^3)^(3/4))/(x^4 - 2*x^3 + x^2)) + 512*(x^5 + x^3)^(1/4)*(x^4 + 2*x^2 + 1))/x^3","B",0
2383,-1,0,0,0.000000," ","integrate(1/(a*x^2+b)/(x^3+x)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2384,1,739,0,0.753761," ","integrate((a*x^4-b*x^3)^(1/4)/x^2/(c*x^2-d),x, algorithm=""fricas"")","-\frac{4 \, d x \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(d^{8} x \sqrt{\frac{b^{2} c}{d^{9}}} - a d^{4} x\right)} \sqrt{\frac{d^{2} x^{2} \sqrt{\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}} + \sqrt{a x^{4} - b x^{3}}}{x^{2}}} \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{3}{4}} - {\left(d^{8} \sqrt{\frac{b^{2} c}{d^{9}}} - a d^{4}\right)} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{3}{4}}}{{\left(b^{2} c - a^{2} d\right)} x}\right) - 4 \, d x \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(d^{8} x \sqrt{\frac{b^{2} c}{d^{9}}} + a d^{4} x\right)} \sqrt{\frac{d^{2} x^{2} \sqrt{-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}} + \sqrt{a x^{4} - b x^{3}}}{x^{2}}} \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{3}{4}} - {\left(d^{8} \sqrt{\frac{b^{2} c}{d^{9}}} + a d^{4}\right)} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{3}{4}}}{{\left(b^{2} c - a^{2} d\right)} x}\right) + d x \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{1}{4}} \log\left(\frac{d x \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{1}{4}} + {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - d x \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{1}{4}} \log\left(-\frac{d x \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{1}{4}} - {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + d x \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{1}{4}} \log\left(\frac{d x \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{1}{4}} + {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - d x \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{1}{4}} \log\left(-\frac{d x \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{1}{4}} - {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - 8 \, {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{2 \, d x}"," ",0,"-1/2*(4*d*x*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(1/4)*arctan(-((d^8*x*sqrt(b^2*c/d^9) - a*d^4*x)*sqrt((d^2*x^2*sqrt((d^4*sqrt(b^2*c/d^9) + a)/d^4) + sqrt(a*x^4 - b*x^3))/x^2)*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(3/4) - (d^8*sqrt(b^2*c/d^9) - a*d^4)*(a*x^4 - b*x^3)^(1/4)*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(3/4))/((b^2*c - a^2*d)*x)) - 4*d*x*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(1/4)*arctan(-((d^8*x*sqrt(b^2*c/d^9) + a*d^4*x)*sqrt((d^2*x^2*sqrt(-(d^4*sqrt(b^2*c/d^9) - a)/d^4) + sqrt(a*x^4 - b*x^3))/x^2)*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(3/4) - (d^8*sqrt(b^2*c/d^9) + a*d^4)*(a*x^4 - b*x^3)^(1/4)*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(3/4))/((b^2*c - a^2*d)*x)) + d*x*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(1/4)*log((d*x*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(1/4) + (a*x^4 - b*x^3)^(1/4))/x) - d*x*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(1/4)*log(-(d*x*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(1/4) - (a*x^4 - b*x^3)^(1/4))/x) + d*x*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(1/4)*log((d*x*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(1/4) + (a*x^4 - b*x^3)^(1/4))/x) - d*x*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(1/4)*log(-(d*x*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(1/4) - (a*x^4 - b*x^3)^(1/4))/x) - 8*(a*x^4 - b*x^3)^(1/4))/(d*x)","B",0
2385,1,739,0,0.595345," ","integrate((a*x^4-b*x^3)^(1/4)/x^2/(c*x^2-d),x, algorithm=""fricas"")","-\frac{4 \, d x \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(d^{8} x \sqrt{\frac{b^{2} c}{d^{9}}} - a d^{4} x\right)} \sqrt{\frac{d^{2} x^{2} \sqrt{\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}} + \sqrt{a x^{4} - b x^{3}}}{x^{2}}} \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{3}{4}} - {\left(d^{8} \sqrt{\frac{b^{2} c}{d^{9}}} - a d^{4}\right)} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{3}{4}}}{{\left(b^{2} c - a^{2} d\right)} x}\right) - 4 \, d x \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(d^{8} x \sqrt{\frac{b^{2} c}{d^{9}}} + a d^{4} x\right)} \sqrt{\frac{d^{2} x^{2} \sqrt{-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}} + \sqrt{a x^{4} - b x^{3}}}{x^{2}}} \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{3}{4}} - {\left(d^{8} \sqrt{\frac{b^{2} c}{d^{9}}} + a d^{4}\right)} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{3}{4}}}{{\left(b^{2} c - a^{2} d\right)} x}\right) + d x \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{1}{4}} \log\left(\frac{d x \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{1}{4}} + {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - d x \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{1}{4}} \log\left(-\frac{d x \left(\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} + a}{d^{4}}\right)^{\frac{1}{4}} - {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + d x \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{1}{4}} \log\left(\frac{d x \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{1}{4}} + {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - d x \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{1}{4}} \log\left(-\frac{d x \left(-\frac{d^{4} \sqrt{\frac{b^{2} c}{d^{9}}} - a}{d^{4}}\right)^{\frac{1}{4}} - {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - 8 \, {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{2 \, d x}"," ",0,"-1/2*(4*d*x*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(1/4)*arctan(-((d^8*x*sqrt(b^2*c/d^9) - a*d^4*x)*sqrt((d^2*x^2*sqrt((d^4*sqrt(b^2*c/d^9) + a)/d^4) + sqrt(a*x^4 - b*x^3))/x^2)*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(3/4) - (d^8*sqrt(b^2*c/d^9) - a*d^4)*(a*x^4 - b*x^3)^(1/4)*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(3/4))/((b^2*c - a^2*d)*x)) - 4*d*x*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(1/4)*arctan(-((d^8*x*sqrt(b^2*c/d^9) + a*d^4*x)*sqrt((d^2*x^2*sqrt(-(d^4*sqrt(b^2*c/d^9) - a)/d^4) + sqrt(a*x^4 - b*x^3))/x^2)*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(3/4) - (d^8*sqrt(b^2*c/d^9) + a*d^4)*(a*x^4 - b*x^3)^(1/4)*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(3/4))/((b^2*c - a^2*d)*x)) + d*x*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(1/4)*log((d*x*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(1/4) + (a*x^4 - b*x^3)^(1/4))/x) - d*x*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(1/4)*log(-(d*x*((d^4*sqrt(b^2*c/d^9) + a)/d^4)^(1/4) - (a*x^4 - b*x^3)^(1/4))/x) + d*x*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(1/4)*log((d*x*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(1/4) + (a*x^4 - b*x^3)^(1/4))/x) - d*x*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(1/4)*log(-(d*x*(-(d^4*sqrt(b^2*c/d^9) - a)/d^4)^(1/4) - (a*x^4 - b*x^3)^(1/4))/x) - 8*(a*x^4 - b*x^3)^(1/4))/(d*x)","B",0
2386,-2,0,0,0.000000," ","integrate((x^3+x)^(1/3)*(a*x^6+b)/(c*x^6+d),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
2387,-2,0,0,0.000000," ","integrate((x^3+x)^(1/3)*(a*x^6+b)/(c*x^6+d),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
2388,-2,0,0,0.000000," ","integrate((2*x^6-1)*(x^7+x)^(1/3)/(x^6-2*x^2+1)/(x^6-x^2+1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
2389,1,188,0,40.380124," ","integrate((2*p*x^3-q)*(p^2*x^6+2*p*q*x^3-2*p*q*x^2+q^2)^(1/2)*(b*x^3+a*(p*x^3+q)^3)/x^6,x, algorithm=""fricas"")","-\frac{30 \, b p q x^{5} \log\left(\frac{p x^{3} + q + \sqrt{p^{2} x^{6} + 2 \, p q x^{3} - 2 \, p q x^{2} + q^{2}}}{x}\right) - {\left(6 \, a p^{4} x^{12} + 24 \, a p^{3} q x^{9} - 4 \, a p^{3} q x^{8} - 8 \, a p^{2} q^{2} x^{5} - 16 \, a p^{2} q^{2} x^{4} - 4 \, a p q^{3} x^{2} + 3 \, {\left(12 \, a p^{2} q^{2} + 5 \, b p\right)} x^{6} + 6 \, a q^{4} + 3 \, {\left(8 \, a p q^{3} + 5 \, b q\right)} x^{3}\right)} \sqrt{p^{2} x^{6} + 2 \, p q x^{3} - 2 \, p q x^{2} + q^{2}}}{30 \, x^{5}}"," ",0,"-1/30*(30*b*p*q*x^5*log((p*x^3 + q + sqrt(p^2*x^6 + 2*p*q*x^3 - 2*p*q*x^2 + q^2))/x) - (6*a*p^4*x^12 + 24*a*p^3*q*x^9 - 4*a*p^3*q*x^8 - 8*a*p^2*q^2*x^5 - 16*a*p^2*q^2*x^4 - 4*a*p*q^3*x^2 + 3*(12*a*p^2*q^2 + 5*b*p)*x^6 + 6*a*q^4 + 3*(8*a*p*q^3 + 5*b*q)*x^3)*sqrt(p^2*x^6 + 2*p*q*x^3 - 2*p*q*x^2 + q^2))/x^5","A",0
2390,-1,0,0,0.000000," ","integrate((-1+(-1+2*k)*x)/((1-x)*x*(-k*x+1))^(1/3)/(1-(2+b)*x+(b*k+1)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2391,-1,0,0,0.000000," ","integrate((-3+2*(k^2+1)*x+(k^2+1)*x^2-4*k^2*x^3+k^2*x^4)/((-x^2+1)*(-k^2*x^2+1))^(2/3)/(1-d-(2+d)*x+(d*k^2+1)*x^2+d*k^2*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2392,-1,0,0,0.000000," ","integrate((3*x^6-3*a*x^3+b)/x^6/(2*a*x^3-b)/(a*x^4-b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2393,-1,0,0,0.000000," ","integrate((p*x^3-2*q)*(p^2*x^6-2*p*q*x^4+2*p*q*x^3+q^2)^(1/2)*(b*x^6+a*(p*x^3+q)^3)/x^11,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2394,-1,0,0,0.000000," ","integrate(x*(1+x)^(1/2)/(x+(x+(1+x)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2395,-1,0,0,0.000000," ","integrate(x*(1+x)^(1/2)/(x+(x+(1+x)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2396,1,419,0,1.145427," ","integrate(x^2/((a*x+b)/(c*x+d))^(1/2),x, algorithm=""fricas"")","\left[-\frac{3 \, {\left(5 \, b^{3} c^{3} - 3 \, a b^{2} c^{2} d - a^{2} b c d^{2} - a^{3} d^{3}\right)} \sqrt{a c} \log\left(-2 \, a c x - b c - a d - 2 \, \sqrt{a c} {\left(c x + d\right)} \sqrt{\frac{a x + b}{c x + d}}\right) - 2 \, {\left(8 \, a^{3} c^{4} x^{3} + 15 \, a b^{2} c^{3} d - 4 \, a^{2} b c^{2} d^{2} - 3 \, a^{3} c d^{3} - 10 \, {\left(a^{2} b c^{4} - a^{3} c^{3} d\right)} x^{2} + {\left(15 \, a b^{2} c^{4} - 14 \, a^{2} b c^{3} d - a^{3} c^{2} d^{2}\right)} x\right)} \sqrt{\frac{a x + b}{c x + d}}}{48 \, a^{4} c^{3}}, \frac{3 \, {\left(5 \, b^{3} c^{3} - 3 \, a b^{2} c^{2} d - a^{2} b c d^{2} - a^{3} d^{3}\right)} \sqrt{-a c} \arctan\left(\frac{\sqrt{-a c} {\left(c x + d\right)} \sqrt{\frac{a x + b}{c x + d}}}{a c x + b c}\right) + {\left(8 \, a^{3} c^{4} x^{3} + 15 \, a b^{2} c^{3} d - 4 \, a^{2} b c^{2} d^{2} - 3 \, a^{3} c d^{3} - 10 \, {\left(a^{2} b c^{4} - a^{3} c^{3} d\right)} x^{2} + {\left(15 \, a b^{2} c^{4} - 14 \, a^{2} b c^{3} d - a^{3} c^{2} d^{2}\right)} x\right)} \sqrt{\frac{a x + b}{c x + d}}}{24 \, a^{4} c^{3}}\right]"," ",0,"[-1/48*(3*(5*b^3*c^3 - 3*a*b^2*c^2*d - a^2*b*c*d^2 - a^3*d^3)*sqrt(a*c)*log(-2*a*c*x - b*c - a*d - 2*sqrt(a*c)*(c*x + d)*sqrt((a*x + b)/(c*x + d))) - 2*(8*a^3*c^4*x^3 + 15*a*b^2*c^3*d - 4*a^2*b*c^2*d^2 - 3*a^3*c*d^3 - 10*(a^2*b*c^4 - a^3*c^3*d)*x^2 + (15*a*b^2*c^4 - 14*a^2*b*c^3*d - a^3*c^2*d^2)*x)*sqrt((a*x + b)/(c*x + d)))/(a^4*c^3), 1/24*(3*(5*b^3*c^3 - 3*a*b^2*c^2*d - a^2*b*c*d^2 - a^3*d^3)*sqrt(-a*c)*arctan(sqrt(-a*c)*(c*x + d)*sqrt((a*x + b)/(c*x + d))/(a*c*x + b*c)) + (8*a^3*c^4*x^3 + 15*a*b^2*c^3*d - 4*a^2*b*c^2*d^2 - 3*a^3*c*d^3 - 10*(a^2*b*c^4 - a^3*c^3*d)*x^2 + (15*a*b^2*c^4 - 14*a^2*b*c^3*d - a^3*c^2*d^2)*x)*sqrt((a*x + b)/(c*x + d)))/(a^4*c^3)]","A",0
2397,1,240,0,0.712193," ","integrate((2*a*x+b)/(a*x-b)/(a*x+2*b)/(a*x^2+b*x-1)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, \arctan\left(\frac{a \sqrt{\frac{2 \, a b^{2} - a^{2}}{\sqrt{2 \, a^{3} b^{2} - a^{4}}} + \sqrt{a x^{2} + b x - 1}}}{{\left(2 \, a^{3} b^{2} - a^{4}\right)}^{\frac{1}{4}}} - \frac{{\left(a x^{2} + b x - 1\right)}^{\frac{1}{4}} a}{{\left(2 \, a^{3} b^{2} - a^{4}\right)}^{\frac{1}{4}}}\right)}{{\left(2 \, a^{3} b^{2} - a^{4}\right)}^{\frac{1}{4}}} - \frac{\log\left(\frac{2 \, a^{2} b^{2} - a^{3}}{{\left(2 \, a^{3} b^{2} - a^{4}\right)}^{\frac{3}{4}}} + {\left(a x^{2} + b x - 1\right)}^{\frac{1}{4}}\right)}{{\left(2 \, a^{3} b^{2} - a^{4}\right)}^{\frac{1}{4}}} + \frac{\log\left(-\frac{2 \, a^{2} b^{2} - a^{3}}{{\left(2 \, a^{3} b^{2} - a^{4}\right)}^{\frac{3}{4}}} + {\left(a x^{2} + b x - 1\right)}^{\frac{1}{4}}\right)}{{\left(2 \, a^{3} b^{2} - a^{4}\right)}^{\frac{1}{4}}}"," ",0,"-4*arctan(a*sqrt((2*a*b^2 - a^2)/sqrt(2*a^3*b^2 - a^4) + sqrt(a*x^2 + b*x - 1))/(2*a^3*b^2 - a^4)^(1/4) - (a*x^2 + b*x - 1)^(1/4)*a/(2*a^3*b^2 - a^4)^(1/4))/(2*a^3*b^2 - a^4)^(1/4) - log((2*a^2*b^2 - a^3)/(2*a^3*b^2 - a^4)^(3/4) + (a*x^2 + b*x - 1)^(1/4))/(2*a^3*b^2 - a^4)^(1/4) + log(-(2*a^2*b^2 - a^3)/(2*a^3*b^2 - a^4)^(3/4) + (a*x^2 + b*x - 1)^(1/4))/(2*a^3*b^2 - a^4)^(1/4)","A",0
2398,1,1809,0,2.134165," ","integrate((a*k*x+k*x^2-1)/(k*x^2+1)/((-x^2+1)*(-k^2*x^2+1))^(1/2),x, algorithm=""fricas"")","-\frac{1}{8} \, \sqrt{\frac{a^{2} k - 4 \, \sqrt{-\frac{a^{2} k}{k^{4} + 4 \, k^{3} + 6 \, k^{2} + 4 \, k + 1}} {\left(k^{2} + 2 \, k + 1\right)} - 4}{k^{2} + 2 \, k + 1}} \log\left(\frac{2 \, {\left(\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1} {\left(a^{3} k - {\left(a^{3} k^{2} + 4 \, a k\right)} x^{2} + 2 \, {\left(a^{2} k^{3} + 2 \, {\left(a^{2} + 2\right)} k^{2} + {\left(a^{2} + 8\right)} k + 4\right)} \sqrt{-\frac{a^{2} k}{k^{4} + 4 \, k^{3} + 6 \, k^{2} + 4 \, k + 1}} x + 4 \, a\right)} + {\left(2 \, a^{2} k^{3} x^{4} + 2 \, {\left(a k^{3} + 2 \, a k^{2} + a k\right)} x^{3} + 2 \, a^{2} k - 2 \, {\left(a^{2} k^{3} + a^{2} k\right)} x^{2} - 2 \, {\left(a k^{2} + 2 \, a k + a\right)} x + {\left(4 \, {\left(k^{4} + 2 \, k^{3} + k^{2}\right)} x^{4} - {\left(a k^{5} + 4 \, a k^{4} + 6 \, a k^{3} + 4 \, a k^{2} + a k\right)} x^{3} - 4 \, {\left(k^{4} + 2 \, k^{3} + 2 \, k^{2} + 2 \, k + 1\right)} x^{2} + 4 \, k^{2} + {\left(a k^{4} + 4 \, a k^{3} + 6 \, a k^{2} + 4 \, a k + a\right)} x + 8 \, k + 4\right)} \sqrt{-\frac{a^{2} k}{k^{4} + 4 \, k^{3} + 6 \, k^{2} + 4 \, k + 1}}\right)} \sqrt{\frac{a^{2} k - 4 \, \sqrt{-\frac{a^{2} k}{k^{4} + 4 \, k^{3} + 6 \, k^{2} + 4 \, k + 1}} {\left(k^{2} + 2 \, k + 1\right)} - 4}{k^{2} + 2 \, k + 1}}\right)}}{k^{2} x^{4} + 2 \, k x^{2} + 1}\right) + \frac{1}{8} \, \sqrt{\frac{a^{2} k - 4 \, \sqrt{-\frac{a^{2} k}{k^{4} + 4 \, k^{3} + 6 \, k^{2} + 4 \, k + 1}} {\left(k^{2} + 2 \, k + 1\right)} - 4}{k^{2} + 2 \, k + 1}} \log\left(\frac{2 \, {\left(\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1} {\left(a^{3} k - {\left(a^{3} k^{2} + 4 \, a k\right)} x^{2} + 2 \, {\left(a^{2} k^{3} + 2 \, {\left(a^{2} + 2\right)} k^{2} + {\left(a^{2} + 8\right)} k + 4\right)} \sqrt{-\frac{a^{2} k}{k^{4} + 4 \, k^{3} + 6 \, k^{2} + 4 \, k + 1}} x + 4 \, a\right)} - {\left(2 \, a^{2} k^{3} x^{4} + 2 \, {\left(a k^{3} + 2 \, a k^{2} + a k\right)} x^{3} + 2 \, a^{2} k - 2 \, {\left(a^{2} k^{3} + a^{2} k\right)} x^{2} - 2 \, {\left(a k^{2} + 2 \, a k + a\right)} x + {\left(4 \, {\left(k^{4} + 2 \, k^{3} + k^{2}\right)} x^{4} - {\left(a k^{5} + 4 \, a k^{4} + 6 \, a k^{3} + 4 \, a k^{2} + a k\right)} x^{3} - 4 \, {\left(k^{4} + 2 \, k^{3} + 2 \, k^{2} + 2 \, k + 1\right)} x^{2} + 4 \, k^{2} + {\left(a k^{4} + 4 \, a k^{3} + 6 \, a k^{2} + 4 \, a k + a\right)} x + 8 \, k + 4\right)} \sqrt{-\frac{a^{2} k}{k^{4} + 4 \, k^{3} + 6 \, k^{2} + 4 \, k + 1}}\right)} \sqrt{\frac{a^{2} k - 4 \, \sqrt{-\frac{a^{2} k}{k^{4} + 4 \, k^{3} + 6 \, k^{2} + 4 \, k + 1}} {\left(k^{2} + 2 \, k + 1\right)} - 4}{k^{2} + 2 \, k + 1}}\right)}}{k^{2} x^{4} + 2 \, k x^{2} + 1}\right) - \frac{1}{8} \, \sqrt{\frac{a^{2} k + 4 \, \sqrt{-\frac{a^{2} k}{k^{4} + 4 \, k^{3} + 6 \, k^{2} + 4 \, k + 1}} {\left(k^{2} + 2 \, k + 1\right)} - 4}{k^{2} + 2 \, k + 1}} \log\left(\frac{2 \, {\left(\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1} {\left(a^{3} k - {\left(a^{3} k^{2} + 4 \, a k\right)} x^{2} - 2 \, {\left(a^{2} k^{3} + 2 \, {\left(a^{2} + 2\right)} k^{2} + {\left(a^{2} + 8\right)} k + 4\right)} \sqrt{-\frac{a^{2} k}{k^{4} + 4 \, k^{3} + 6 \, k^{2} + 4 \, k + 1}} x + 4 \, a\right)} + {\left(2 \, a^{2} k^{3} x^{4} + 2 \, {\left(a k^{3} + 2 \, a k^{2} + a k\right)} x^{3} + 2 \, a^{2} k - 2 \, {\left(a^{2} k^{3} + a^{2} k\right)} x^{2} - 2 \, {\left(a k^{2} + 2 \, a k + a\right)} x - {\left(4 \, {\left(k^{4} + 2 \, k^{3} + k^{2}\right)} x^{4} - {\left(a k^{5} + 4 \, a k^{4} + 6 \, a k^{3} + 4 \, a k^{2} + a k\right)} x^{3} - 4 \, {\left(k^{4} + 2 \, k^{3} + 2 \, k^{2} + 2 \, k + 1\right)} x^{2} + 4 \, k^{2} + {\left(a k^{4} + 4 \, a k^{3} + 6 \, a k^{2} + 4 \, a k + a\right)} x + 8 \, k + 4\right)} \sqrt{-\frac{a^{2} k}{k^{4} + 4 \, k^{3} + 6 \, k^{2} + 4 \, k + 1}}\right)} \sqrt{\frac{a^{2} k + 4 \, \sqrt{-\frac{a^{2} k}{k^{4} + 4 \, k^{3} + 6 \, k^{2} + 4 \, k + 1}} {\left(k^{2} + 2 \, k + 1\right)} - 4}{k^{2} + 2 \, k + 1}}\right)}}{k^{2} x^{4} + 2 \, k x^{2} + 1}\right) + \frac{1}{8} \, \sqrt{\frac{a^{2} k + 4 \, \sqrt{-\frac{a^{2} k}{k^{4} + 4 \, k^{3} + 6 \, k^{2} + 4 \, k + 1}} {\left(k^{2} + 2 \, k + 1\right)} - 4}{k^{2} + 2 \, k + 1}} \log\left(\frac{2 \, {\left(\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1} {\left(a^{3} k - {\left(a^{3} k^{2} + 4 \, a k\right)} x^{2} - 2 \, {\left(a^{2} k^{3} + 2 \, {\left(a^{2} + 2\right)} k^{2} + {\left(a^{2} + 8\right)} k + 4\right)} \sqrt{-\frac{a^{2} k}{k^{4} + 4 \, k^{3} + 6 \, k^{2} + 4 \, k + 1}} x + 4 \, a\right)} - {\left(2 \, a^{2} k^{3} x^{4} + 2 \, {\left(a k^{3} + 2 \, a k^{2} + a k\right)} x^{3} + 2 \, a^{2} k - 2 \, {\left(a^{2} k^{3} + a^{2} k\right)} x^{2} - 2 \, {\left(a k^{2} + 2 \, a k + a\right)} x - {\left(4 \, {\left(k^{4} + 2 \, k^{3} + k^{2}\right)} x^{4} - {\left(a k^{5} + 4 \, a k^{4} + 6 \, a k^{3} + 4 \, a k^{2} + a k\right)} x^{3} - 4 \, {\left(k^{4} + 2 \, k^{3} + 2 \, k^{2} + 2 \, k + 1\right)} x^{2} + 4 \, k^{2} + {\left(a k^{4} + 4 \, a k^{3} + 6 \, a k^{2} + 4 \, a k + a\right)} x + 8 \, k + 4\right)} \sqrt{-\frac{a^{2} k}{k^{4} + 4 \, k^{3} + 6 \, k^{2} + 4 \, k + 1}}\right)} \sqrt{\frac{a^{2} k + 4 \, \sqrt{-\frac{a^{2} k}{k^{4} + 4 \, k^{3} + 6 \, k^{2} + 4 \, k + 1}} {\left(k^{2} + 2 \, k + 1\right)} - 4}{k^{2} + 2 \, k + 1}}\right)}}{k^{2} x^{4} + 2 \, k x^{2} + 1}\right)"," ",0,"-1/8*sqrt((a^2*k - 4*sqrt(-a^2*k/(k^4 + 4*k^3 + 6*k^2 + 4*k + 1))*(k^2 + 2*k + 1) - 4)/(k^2 + 2*k + 1))*log(2*(sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)*(a^3*k - (a^3*k^2 + 4*a*k)*x^2 + 2*(a^2*k^3 + 2*(a^2 + 2)*k^2 + (a^2 + 8)*k + 4)*sqrt(-a^2*k/(k^4 + 4*k^3 + 6*k^2 + 4*k + 1))*x + 4*a) + (2*a^2*k^3*x^4 + 2*(a*k^3 + 2*a*k^2 + a*k)*x^3 + 2*a^2*k - 2*(a^2*k^3 + a^2*k)*x^2 - 2*(a*k^2 + 2*a*k + a)*x + (4*(k^4 + 2*k^3 + k^2)*x^4 - (a*k^5 + 4*a*k^4 + 6*a*k^3 + 4*a*k^2 + a*k)*x^3 - 4*(k^4 + 2*k^3 + 2*k^2 + 2*k + 1)*x^2 + 4*k^2 + (a*k^4 + 4*a*k^3 + 6*a*k^2 + 4*a*k + a)*x + 8*k + 4)*sqrt(-a^2*k/(k^4 + 4*k^3 + 6*k^2 + 4*k + 1)))*sqrt((a^2*k - 4*sqrt(-a^2*k/(k^4 + 4*k^3 + 6*k^2 + 4*k + 1))*(k^2 + 2*k + 1) - 4)/(k^2 + 2*k + 1)))/(k^2*x^4 + 2*k*x^2 + 1)) + 1/8*sqrt((a^2*k - 4*sqrt(-a^2*k/(k^4 + 4*k^3 + 6*k^2 + 4*k + 1))*(k^2 + 2*k + 1) - 4)/(k^2 + 2*k + 1))*log(2*(sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)*(a^3*k - (a^3*k^2 + 4*a*k)*x^2 + 2*(a^2*k^3 + 2*(a^2 + 2)*k^2 + (a^2 + 8)*k + 4)*sqrt(-a^2*k/(k^4 + 4*k^3 + 6*k^2 + 4*k + 1))*x + 4*a) - (2*a^2*k^3*x^4 + 2*(a*k^3 + 2*a*k^2 + a*k)*x^3 + 2*a^2*k - 2*(a^2*k^3 + a^2*k)*x^2 - 2*(a*k^2 + 2*a*k + a)*x + (4*(k^4 + 2*k^3 + k^2)*x^4 - (a*k^5 + 4*a*k^4 + 6*a*k^3 + 4*a*k^2 + a*k)*x^3 - 4*(k^4 + 2*k^3 + 2*k^2 + 2*k + 1)*x^2 + 4*k^2 + (a*k^4 + 4*a*k^3 + 6*a*k^2 + 4*a*k + a)*x + 8*k + 4)*sqrt(-a^2*k/(k^4 + 4*k^3 + 6*k^2 + 4*k + 1)))*sqrt((a^2*k - 4*sqrt(-a^2*k/(k^4 + 4*k^3 + 6*k^2 + 4*k + 1))*(k^2 + 2*k + 1) - 4)/(k^2 + 2*k + 1)))/(k^2*x^4 + 2*k*x^2 + 1)) - 1/8*sqrt((a^2*k + 4*sqrt(-a^2*k/(k^4 + 4*k^3 + 6*k^2 + 4*k + 1))*(k^2 + 2*k + 1) - 4)/(k^2 + 2*k + 1))*log(2*(sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)*(a^3*k - (a^3*k^2 + 4*a*k)*x^2 - 2*(a^2*k^3 + 2*(a^2 + 2)*k^2 + (a^2 + 8)*k + 4)*sqrt(-a^2*k/(k^4 + 4*k^3 + 6*k^2 + 4*k + 1))*x + 4*a) + (2*a^2*k^3*x^4 + 2*(a*k^3 + 2*a*k^2 + a*k)*x^3 + 2*a^2*k - 2*(a^2*k^3 + a^2*k)*x^2 - 2*(a*k^2 + 2*a*k + a)*x - (4*(k^4 + 2*k^3 + k^2)*x^4 - (a*k^5 + 4*a*k^4 + 6*a*k^3 + 4*a*k^2 + a*k)*x^3 - 4*(k^4 + 2*k^3 + 2*k^2 + 2*k + 1)*x^2 + 4*k^2 + (a*k^4 + 4*a*k^3 + 6*a*k^2 + 4*a*k + a)*x + 8*k + 4)*sqrt(-a^2*k/(k^4 + 4*k^3 + 6*k^2 + 4*k + 1)))*sqrt((a^2*k + 4*sqrt(-a^2*k/(k^4 + 4*k^3 + 6*k^2 + 4*k + 1))*(k^2 + 2*k + 1) - 4)/(k^2 + 2*k + 1)))/(k^2*x^4 + 2*k*x^2 + 1)) + 1/8*sqrt((a^2*k + 4*sqrt(-a^2*k/(k^4 + 4*k^3 + 6*k^2 + 4*k + 1))*(k^2 + 2*k + 1) - 4)/(k^2 + 2*k + 1))*log(2*(sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)*(a^3*k - (a^3*k^2 + 4*a*k)*x^2 - 2*(a^2*k^3 + 2*(a^2 + 2)*k^2 + (a^2 + 8)*k + 4)*sqrt(-a^2*k/(k^4 + 4*k^3 + 6*k^2 + 4*k + 1))*x + 4*a) - (2*a^2*k^3*x^4 + 2*(a*k^3 + 2*a*k^2 + a*k)*x^3 + 2*a^2*k - 2*(a^2*k^3 + a^2*k)*x^2 - 2*(a*k^2 + 2*a*k + a)*x - (4*(k^4 + 2*k^3 + k^2)*x^4 - (a*k^5 + 4*a*k^4 + 6*a*k^3 + 4*a*k^2 + a*k)*x^3 - 4*(k^4 + 2*k^3 + 2*k^2 + 2*k + 1)*x^2 + 4*k^2 + (a*k^4 + 4*a*k^3 + 6*a*k^2 + 4*a*k + a)*x + 8*k + 4)*sqrt(-a^2*k/(k^4 + 4*k^3 + 6*k^2 + 4*k + 1)))*sqrt((a^2*k + 4*sqrt(-a^2*k/(k^4 + 4*k^3 + 6*k^2 + 4*k + 1))*(k^2 + 2*k + 1) - 4)/(k^2 + 2*k + 1)))/(k^2*x^4 + 2*k*x^2 + 1))","B",0
2399,1,185,0,0.519974," ","integrate((x^3-b)*(x^3+b)/(a*x^2+x^3)^(1/3),x, algorithm=""fricas"")","-\frac{10 \, \sqrt{3} {\left(728 \, a^{6} - 6561 \, b^{2}\right)} x \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(a x^{2} + x^{3}\right)}^{\frac{1}{3}}}{3 \, x}\right) + 10 \, {\left(728 \, a^{6} - 6561 \, b^{2}\right)} x \log\left(-\frac{x - {\left(a x^{2} + x^{3}\right)}^{\frac{1}{3}}}{x}\right) - 5 \, {\left(728 \, a^{6} - 6561 \, b^{2}\right)} x \log\left(\frac{x^{2} + {\left(a x^{2} + x^{3}\right)}^{\frac{1}{3}} x + {\left(a x^{2} + x^{3}\right)}^{\frac{2}{3}}}{x^{2}}\right) + 3 \, {\left(7280 \, a^{5} - 5460 \, a^{4} x + 4680 \, a^{3} x^{2} - 4212 \, a^{2} x^{3} + 3888 \, a x^{4} - 3645 \, x^{5}\right)} {\left(a x^{2} + x^{3}\right)}^{\frac{2}{3}}}{65610 \, x}"," ",0,"-1/65610*(10*sqrt(3)*(728*a^6 - 6561*b^2)*x*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(a*x^2 + x^3)^(1/3))/x) + 10*(728*a^6 - 6561*b^2)*x*log(-(x - (a*x^2 + x^3)^(1/3))/x) - 5*(728*a^6 - 6561*b^2)*x*log((x^2 + (a*x^2 + x^3)^(1/3)*x + (a*x^2 + x^3)^(2/3))/x^2) + 3*(7280*a^5 - 5460*a^4*x + 4680*a^3*x^2 - 4212*a^2*x^3 + 3888*a*x^4 - 3645*x^5)*(a*x^2 + x^3)^(2/3))/x","A",0
2400,1,1661,0,1.092187," ","integrate(x/(-x^2+1)/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(2 \, a + 2 \, b + c\right)} \sqrt{2 \, a - 2 \, b + c} \log\left(\frac{{\left(24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a + 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{2 \, a - 2 \, b + c} + 24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right) + \sqrt{2 \, a + 2 \, b + c} {\left(2 \, a - 2 \, b + c\right)} \log\left(\frac{{\left(24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a - 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{2 \, a + 2 \, b + c} + 24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right)}{8 \, {\left(4 \, a^{2} - 4 \, b^{2} + 4 \, a c + c^{2}\right)}}, -\frac{2 \, {\left(2 \, a - 2 \, b + c\right)} \sqrt{-2 \, a - 2 \, b - c} \arctan\left(\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{-2 \, a - 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} + 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a + b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} + 2 \, a b + a c + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x\right)}}\right) - {\left(2 \, a + 2 \, b + c\right)} \sqrt{2 \, a - 2 \, b + c} \log\left(\frac{{\left(24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a + 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{2 \, a - 2 \, b + c} + 24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right)}{8 \, {\left(4 \, a^{2} - 4 \, b^{2} + 4 \, a c + c^{2}\right)}}, \frac{2 \, {\left(2 \, a + 2 \, b + c\right)} \sqrt{-2 \, a + 2 \, b - c} \arctan\left(-\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{-2 \, a + 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} - 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a - b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} - 2 \, a b + a c + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x\right)}}\right) + \sqrt{2 \, a + 2 \, b + c} {\left(2 \, a - 2 \, b + c\right)} \log\left(\frac{{\left(24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a - 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{2 \, a + 2 \, b + c} + 24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right)}{8 \, {\left(4 \, a^{2} - 4 \, b^{2} + 4 \, a c + c^{2}\right)}}, \frac{{\left(2 \, a + 2 \, b + c\right)} \sqrt{-2 \, a + 2 \, b - c} \arctan\left(-\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{-2 \, a + 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} - 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a - b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} - 2 \, a b + a c + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x\right)}}\right) - {\left(2 \, a - 2 \, b + c\right)} \sqrt{-2 \, a - 2 \, b - c} \arctan\left(\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{-2 \, a - 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} + 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a + b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} + 2 \, a b + a c + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x\right)}}\right)}{4 \, {\left(4 \, a^{2} - 4 \, b^{2} + 4 \, a c + c^{2}\right)}}\right]"," ",0,"[1/8*((2*a + 2*b + c)*sqrt(2*a - 2*b + c)*log(((24*a^2 - 16*a*b + b^2 + 4*a*c)*x^4 + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a + 2*b)*c + 4*c^2)*x^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(2*a - 2*b + c) + 24*a^2 - 16*a*b + b^2 + 4*a*c + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x)/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1)) + sqrt(2*a + 2*b + c)*(2*a - 2*b + c)*log(((24*a^2 + 16*a*b + b^2 + 4*a*c)*x^4 - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a - 2*b)*c + 4*c^2)*x^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(2*a + 2*b + c) + 24*a^2 + 16*a*b + b^2 + 4*a*c - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)))/(4*a^2 - 4*b^2 + 4*a*c + c^2), -1/8*(2*(2*a - 2*b + c)*sqrt(-2*a - 2*b - c)*arctan(1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(-2*a - 2*b - c)/((2*a^2 + 2*a*b + a*c)*x^4 + (2*a*b + 2*b^2 + b*c)*x^3 + (2*(a + b)*c + c^2)*x^2 + 2*a^2 + 2*a*b + a*c + (2*a*b + 2*b^2 + b*c)*x)) - (2*a + 2*b + c)*sqrt(2*a - 2*b + c)*log(((24*a^2 - 16*a*b + b^2 + 4*a*c)*x^4 + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a + 2*b)*c + 4*c^2)*x^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(2*a - 2*b + c) + 24*a^2 - 16*a*b + b^2 + 4*a*c + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x)/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1)))/(4*a^2 - 4*b^2 + 4*a*c + c^2), 1/8*(2*(2*a + 2*b + c)*sqrt(-2*a + 2*b - c)*arctan(-1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(-2*a + 2*b - c)/((2*a^2 - 2*a*b + a*c)*x^4 + (2*a*b - 2*b^2 + b*c)*x^3 + (2*(a - b)*c + c^2)*x^2 + 2*a^2 - 2*a*b + a*c + (2*a*b - 2*b^2 + b*c)*x)) + sqrt(2*a + 2*b + c)*(2*a - 2*b + c)*log(((24*a^2 + 16*a*b + b^2 + 4*a*c)*x^4 - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a - 2*b)*c + 4*c^2)*x^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(2*a + 2*b + c) + 24*a^2 + 16*a*b + b^2 + 4*a*c - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)))/(4*a^2 - 4*b^2 + 4*a*c + c^2), 1/4*((2*a + 2*b + c)*sqrt(-2*a + 2*b - c)*arctan(-1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(-2*a + 2*b - c)/((2*a^2 - 2*a*b + a*c)*x^4 + (2*a*b - 2*b^2 + b*c)*x^3 + (2*(a - b)*c + c^2)*x^2 + 2*a^2 - 2*a*b + a*c + (2*a*b - 2*b^2 + b*c)*x)) - (2*a - 2*b + c)*sqrt(-2*a - 2*b - c)*arctan(1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(-2*a - 2*b - c)/((2*a^2 + 2*a*b + a*c)*x^4 + (2*a*b + 2*b^2 + b*c)*x^3 + (2*(a + b)*c + c^2)*x^2 + 2*a^2 + 2*a*b + a*c + (2*a*b + 2*b^2 + b*c)*x)))/(4*a^2 - 4*b^2 + 4*a*c + c^2)]","B",0
2401,1,953,0,24.779105," ","integrate(1/(x^4-1)^(1/4)/(x^8-x^4-1),x, algorithm=""fricas"")","-\frac{1}{20} \, \sqrt{10} \sqrt{\sqrt{5} + 1} \arctan\left(-\frac{\sqrt{2} {\left(2 \, \sqrt{10} {\left(5 \, x^{6} - \sqrt{5} {\left(x^{6} + 2 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} - \sqrt{10} {\left(5 \, x^{8} + 5 \, x^{4} - \sqrt{5} {\left(5 \, x^{8} - 3 \, x^{4} - 1\right)} - 5\right)}\right)} {\left(\sqrt{5} + 1\right)} + 4 \, {\left(\sqrt{10} {\left(5 \, x^{5} - \sqrt{5} {\left(x^{5} + 2 \, x\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} - \sqrt{10} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(5 \, x^{3} - \sqrt{5} {\left(2 \, x^{7} - x^{3}\right)}\right)}\right)} \sqrt{\sqrt{5} + 1}}{40 \, {\left(x^{8} - x^{4} - 1\right)}}\right) + \frac{1}{20} \, \sqrt{10} \sqrt{\sqrt{5} - 1} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{10} {\left(5 \, x^{6} + \sqrt{5} {\left(x^{6} + 2 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} + \sqrt{10} {\left(5 \, x^{8} + 5 \, x^{4} + \sqrt{5} {\left(5 \, x^{8} - 3 \, x^{4} - 1\right)} - 5\right)}\right)} {\left(\sqrt{5} - 1\right)} - 4 \, {\left(\sqrt{10} {\left(5 \, x^{5} + \sqrt{5} {\left(x^{5} + 2 \, x\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + \sqrt{10} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(5 \, x^{3} + \sqrt{5} {\left(2 \, x^{7} - x^{3}\right)}\right)}\right)} \sqrt{\sqrt{5} - 1}}{40 \, {\left(x^{8} - x^{4} - 1\right)}}\right) - \frac{1}{80} \, \sqrt{10} \sqrt{\sqrt{5} - 1} \log\left(\frac{10 \, {\left(2 \, x^{5} + \sqrt{5} x - x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + {\left(\sqrt{10} \sqrt{x^{4} - 1} {\left(5 \, x^{2} + \sqrt{5} {\left(2 \, x^{6} - x^{2}\right)}\right)} + \sqrt{10} {\left(5 \, x^{8} - 5 \, x^{4} + \sqrt{5} {\left(2 \, x^{4} - 1\right)}\right)}\right)} \sqrt{\sqrt{5} - 1} - 10 \, {\left(x^{7} - 3 \, x^{3} - \sqrt{5} {\left(x^{7} - x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x^{8} - x^{4} - 1}\right) + \frac{1}{80} \, \sqrt{10} \sqrt{\sqrt{5} - 1} \log\left(\frac{10 \, {\left(2 \, x^{5} + \sqrt{5} x - x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} - {\left(\sqrt{10} \sqrt{x^{4} - 1} {\left(5 \, x^{2} + \sqrt{5} {\left(2 \, x^{6} - x^{2}\right)}\right)} + \sqrt{10} {\left(5 \, x^{8} - 5 \, x^{4} + \sqrt{5} {\left(2 \, x^{4} - 1\right)}\right)}\right)} \sqrt{\sqrt{5} - 1} - 10 \, {\left(x^{7} - 3 \, x^{3} - \sqrt{5} {\left(x^{7} - x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x^{8} - x^{4} - 1}\right) + \frac{1}{80} \, \sqrt{10} \sqrt{\sqrt{5} + 1} \log\left(\frac{10 \, {\left(2 \, x^{5} - \sqrt{5} x - x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + {\left(\sqrt{10} \sqrt{x^{4} - 1} {\left(5 \, x^{2} - \sqrt{5} {\left(2 \, x^{6} - x^{2}\right)}\right)} - \sqrt{10} {\left(5 \, x^{8} - 5 \, x^{4} - \sqrt{5} {\left(2 \, x^{4} - 1\right)}\right)}\right)} \sqrt{\sqrt{5} + 1} + 10 \, {\left(x^{7} - 3 \, x^{3} + \sqrt{5} {\left(x^{7} - x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x^{8} - x^{4} - 1}\right) - \frac{1}{80} \, \sqrt{10} \sqrt{\sqrt{5} + 1} \log\left(\frac{10 \, {\left(2 \, x^{5} - \sqrt{5} x - x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} - {\left(\sqrt{10} \sqrt{x^{4} - 1} {\left(5 \, x^{2} - \sqrt{5} {\left(2 \, x^{6} - x^{2}\right)}\right)} - \sqrt{10} {\left(5 \, x^{8} - 5 \, x^{4} - \sqrt{5} {\left(2 \, x^{4} - 1\right)}\right)}\right)} \sqrt{\sqrt{5} + 1} + 10 \, {\left(x^{7} - 3 \, x^{3} + \sqrt{5} {\left(x^{7} - x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x^{8} - x^{4} - 1}\right)"," ",0,"-1/20*sqrt(10)*sqrt(sqrt(5) + 1)*arctan(-1/40*(sqrt(2)*(2*sqrt(10)*(5*x^6 - sqrt(5)*(x^6 + 2*x^2))*sqrt(x^4 - 1) - sqrt(10)*(5*x^8 + 5*x^4 - sqrt(5)*(5*x^8 - 3*x^4 - 1) - 5))*(sqrt(5) + 1) + 4*(sqrt(10)*(5*x^5 - sqrt(5)*(x^5 + 2*x))*(x^4 - 1)^(3/4) - sqrt(10)*(x^4 - 1)^(1/4)*(5*x^3 - sqrt(5)*(2*x^7 - x^3)))*sqrt(sqrt(5) + 1))/(x^8 - x^4 - 1)) + 1/20*sqrt(10)*sqrt(sqrt(5) - 1)*arctan(1/40*(sqrt(2)*(2*sqrt(10)*(5*x^6 + sqrt(5)*(x^6 + 2*x^2))*sqrt(x^4 - 1) + sqrt(10)*(5*x^8 + 5*x^4 + sqrt(5)*(5*x^8 - 3*x^4 - 1) - 5))*(sqrt(5) - 1) - 4*(sqrt(10)*(5*x^5 + sqrt(5)*(x^5 + 2*x))*(x^4 - 1)^(3/4) + sqrt(10)*(x^4 - 1)^(1/4)*(5*x^3 + sqrt(5)*(2*x^7 - x^3)))*sqrt(sqrt(5) - 1))/(x^8 - x^4 - 1)) - 1/80*sqrt(10)*sqrt(sqrt(5) - 1)*log((10*(2*x^5 + sqrt(5)*x - x)*(x^4 - 1)^(3/4) + (sqrt(10)*sqrt(x^4 - 1)*(5*x^2 + sqrt(5)*(2*x^6 - x^2)) + sqrt(10)*(5*x^8 - 5*x^4 + sqrt(5)*(2*x^4 - 1)))*sqrt(sqrt(5) - 1) - 10*(x^7 - 3*x^3 - sqrt(5)*(x^7 - x^3))*(x^4 - 1)^(1/4))/(x^8 - x^4 - 1)) + 1/80*sqrt(10)*sqrt(sqrt(5) - 1)*log((10*(2*x^5 + sqrt(5)*x - x)*(x^4 - 1)^(3/4) - (sqrt(10)*sqrt(x^4 - 1)*(5*x^2 + sqrt(5)*(2*x^6 - x^2)) + sqrt(10)*(5*x^8 - 5*x^4 + sqrt(5)*(2*x^4 - 1)))*sqrt(sqrt(5) - 1) - 10*(x^7 - 3*x^3 - sqrt(5)*(x^7 - x^3))*(x^4 - 1)^(1/4))/(x^8 - x^4 - 1)) + 1/80*sqrt(10)*sqrt(sqrt(5) + 1)*log((10*(2*x^5 - sqrt(5)*x - x)*(x^4 - 1)^(3/4) + (sqrt(10)*sqrt(x^4 - 1)*(5*x^2 - sqrt(5)*(2*x^6 - x^2)) - sqrt(10)*(5*x^8 - 5*x^4 - sqrt(5)*(2*x^4 - 1)))*sqrt(sqrt(5) + 1) + 10*(x^7 - 3*x^3 + sqrt(5)*(x^7 - x^3))*(x^4 - 1)^(1/4))/(x^8 - x^4 - 1)) - 1/80*sqrt(10)*sqrt(sqrt(5) + 1)*log((10*(2*x^5 - sqrt(5)*x - x)*(x^4 - 1)^(3/4) - (sqrt(10)*sqrt(x^4 - 1)*(5*x^2 - sqrt(5)*(2*x^6 - x^2)) - sqrt(10)*(5*x^8 - 5*x^4 - sqrt(5)*(2*x^4 - 1)))*sqrt(sqrt(5) + 1) + 10*(x^7 - 3*x^3 + sqrt(5)*(x^7 - x^3))*(x^4 - 1)^(1/4))/(x^8 - x^4 - 1))","B",0
2402,1,990,0,25.045178," ","integrate((2*x^4-1)/(x^4-1)^(1/4)/(x^8-x^4-1),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{2} \sqrt{\sqrt{5} + 1} \arctan\left(-\frac{{\left(\sqrt{5} \sqrt{2} {\left(x^{8} + x^{4} - 1\right)} - \sqrt{2} {\left(5 \, x^{8} - 3 \, x^{4} - 1\right)} - 2 \, {\left(\sqrt{5} \sqrt{2} x^{6} - \sqrt{2} {\left(x^{6} + 2 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1}\right)} \sqrt{2 \, \sqrt{5} + 2} \sqrt{\sqrt{5} + 1} - 4 \, {\left({\left(\sqrt{5} \sqrt{2} x^{5} - \sqrt{2} {\left(x^{5} + 2 \, x\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} - {\left(\sqrt{5} \sqrt{2} x^{3} - \sqrt{2} {\left(2 \, x^{7} - x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} \sqrt{\sqrt{5} + 1}}{8 \, {\left(x^{8} - x^{4} - 1\right)}}\right) + \frac{1}{4} \, \sqrt{2} \sqrt{\sqrt{5} - 1} \arctan\left(\frac{{\left(\sqrt{5} \sqrt{2} {\left(x^{8} + x^{4} - 1\right)} + \sqrt{2} {\left(5 \, x^{8} - 3 \, x^{4} - 1\right)} + 2 \, {\left(\sqrt{5} \sqrt{2} x^{6} + \sqrt{2} {\left(x^{6} + 2 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1}\right)} \sqrt{2 \, \sqrt{5} - 2} \sqrt{\sqrt{5} - 1} - 4 \, {\left({\left(\sqrt{5} \sqrt{2} x^{5} + \sqrt{2} {\left(x^{5} + 2 \, x\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + {\left(\sqrt{5} \sqrt{2} x^{3} + \sqrt{2} {\left(2 \, x^{7} - x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)} \sqrt{\sqrt{5} - 1}}{8 \, {\left(x^{8} - x^{4} - 1\right)}}\right) - \frac{1}{16} \, \sqrt{2} \sqrt{\sqrt{5} - 1} \log\left(\frac{2 \, {\left(2 \, x^{5} + \sqrt{5} x - x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + {\left(\sqrt{5} \sqrt{2} {\left(x^{8} - x^{4}\right)} + \sqrt{2} {\left(2 \, x^{4} - 1\right)} + \sqrt{x^{4} - 1} {\left(\sqrt{5} \sqrt{2} x^{2} + \sqrt{2} {\left(2 \, x^{6} - x^{2}\right)}\right)}\right)} \sqrt{\sqrt{5} - 1} - 2 \, {\left(x^{7} - 3 \, x^{3} - \sqrt{5} {\left(x^{7} - x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x^{8} - x^{4} - 1}\right) + \frac{1}{16} \, \sqrt{2} \sqrt{\sqrt{5} - 1} \log\left(\frac{2 \, {\left(2 \, x^{5} + \sqrt{5} x - x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} - {\left(\sqrt{5} \sqrt{2} {\left(x^{8} - x^{4}\right)} + \sqrt{2} {\left(2 \, x^{4} - 1\right)} + \sqrt{x^{4} - 1} {\left(\sqrt{5} \sqrt{2} x^{2} + \sqrt{2} {\left(2 \, x^{6} - x^{2}\right)}\right)}\right)} \sqrt{\sqrt{5} - 1} - 2 \, {\left(x^{7} - 3 \, x^{3} - \sqrt{5} {\left(x^{7} - x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x^{8} - x^{4} - 1}\right) + \frac{1}{16} \, \sqrt{2} \sqrt{\sqrt{5} + 1} \log\left(\frac{2 \, {\left(2 \, x^{5} - \sqrt{5} x - x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + {\left(\sqrt{5} \sqrt{2} {\left(x^{8} - x^{4}\right)} - \sqrt{2} {\left(2 \, x^{4} - 1\right)} - \sqrt{x^{4} - 1} {\left(\sqrt{5} \sqrt{2} x^{2} - \sqrt{2} {\left(2 \, x^{6} - x^{2}\right)}\right)}\right)} \sqrt{\sqrt{5} + 1} + 2 \, {\left(x^{7} - 3 \, x^{3} + \sqrt{5} {\left(x^{7} - x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x^{8} - x^{4} - 1}\right) - \frac{1}{16} \, \sqrt{2} \sqrt{\sqrt{5} + 1} \log\left(\frac{2 \, {\left(2 \, x^{5} - \sqrt{5} x - x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} - {\left(\sqrt{5} \sqrt{2} {\left(x^{8} - x^{4}\right)} - \sqrt{2} {\left(2 \, x^{4} - 1\right)} - \sqrt{x^{4} - 1} {\left(\sqrt{5} \sqrt{2} x^{2} - \sqrt{2} {\left(2 \, x^{6} - x^{2}\right)}\right)}\right)} \sqrt{\sqrt{5} + 1} + 2 \, {\left(x^{7} - 3 \, x^{3} + \sqrt{5} {\left(x^{7} - x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x^{8} - x^{4} - 1}\right)"," ",0,"-1/4*sqrt(2)*sqrt(sqrt(5) + 1)*arctan(-1/8*((sqrt(5)*sqrt(2)*(x^8 + x^4 - 1) - sqrt(2)*(5*x^8 - 3*x^4 - 1) - 2*(sqrt(5)*sqrt(2)*x^6 - sqrt(2)*(x^6 + 2*x^2))*sqrt(x^4 - 1))*sqrt(2*sqrt(5) + 2)*sqrt(sqrt(5) + 1) - 4*((sqrt(5)*sqrt(2)*x^5 - sqrt(2)*(x^5 + 2*x))*(x^4 - 1)^(3/4) - (sqrt(5)*sqrt(2)*x^3 - sqrt(2)*(2*x^7 - x^3))*(x^4 - 1)^(1/4))*sqrt(sqrt(5) + 1))/(x^8 - x^4 - 1)) + 1/4*sqrt(2)*sqrt(sqrt(5) - 1)*arctan(1/8*((sqrt(5)*sqrt(2)*(x^8 + x^4 - 1) + sqrt(2)*(5*x^8 - 3*x^4 - 1) + 2*(sqrt(5)*sqrt(2)*x^6 + sqrt(2)*(x^6 + 2*x^2))*sqrt(x^4 - 1))*sqrt(2*sqrt(5) - 2)*sqrt(sqrt(5) - 1) - 4*((sqrt(5)*sqrt(2)*x^5 + sqrt(2)*(x^5 + 2*x))*(x^4 - 1)^(3/4) + (sqrt(5)*sqrt(2)*x^3 + sqrt(2)*(2*x^7 - x^3))*(x^4 - 1)^(1/4))*sqrt(sqrt(5) - 1))/(x^8 - x^4 - 1)) - 1/16*sqrt(2)*sqrt(sqrt(5) - 1)*log((2*(2*x^5 + sqrt(5)*x - x)*(x^4 - 1)^(3/4) + (sqrt(5)*sqrt(2)*(x^8 - x^4) + sqrt(2)*(2*x^4 - 1) + sqrt(x^4 - 1)*(sqrt(5)*sqrt(2)*x^2 + sqrt(2)*(2*x^6 - x^2)))*sqrt(sqrt(5) - 1) - 2*(x^7 - 3*x^3 - sqrt(5)*(x^7 - x^3))*(x^4 - 1)^(1/4))/(x^8 - x^4 - 1)) + 1/16*sqrt(2)*sqrt(sqrt(5) - 1)*log((2*(2*x^5 + sqrt(5)*x - x)*(x^4 - 1)^(3/4) - (sqrt(5)*sqrt(2)*(x^8 - x^4) + sqrt(2)*(2*x^4 - 1) + sqrt(x^4 - 1)*(sqrt(5)*sqrt(2)*x^2 + sqrt(2)*(2*x^6 - x^2)))*sqrt(sqrt(5) - 1) - 2*(x^7 - 3*x^3 - sqrt(5)*(x^7 - x^3))*(x^4 - 1)^(1/4))/(x^8 - x^4 - 1)) + 1/16*sqrt(2)*sqrt(sqrt(5) + 1)*log((2*(2*x^5 - sqrt(5)*x - x)*(x^4 - 1)^(3/4) + (sqrt(5)*sqrt(2)*(x^8 - x^4) - sqrt(2)*(2*x^4 - 1) - sqrt(x^4 - 1)*(sqrt(5)*sqrt(2)*x^2 - sqrt(2)*(2*x^6 - x^2)))*sqrt(sqrt(5) + 1) + 2*(x^7 - 3*x^3 + sqrt(5)*(x^7 - x^3))*(x^4 - 1)^(1/4))/(x^8 - x^4 - 1)) - 1/16*sqrt(2)*sqrt(sqrt(5) + 1)*log((2*(2*x^5 - sqrt(5)*x - x)*(x^4 - 1)^(3/4) - (sqrt(5)*sqrt(2)*(x^8 - x^4) - sqrt(2)*(2*x^4 - 1) - sqrt(x^4 - 1)*(sqrt(5)*sqrt(2)*x^2 - sqrt(2)*(2*x^6 - x^2)))*sqrt(sqrt(5) + 1) + 2*(x^7 - 3*x^3 + sqrt(5)*(x^7 - x^3))*(x^4 - 1)^(1/4))/(x^8 - x^4 - 1))","B",0
2403,1,913,0,25.053274," ","integrate(1/(x^4+1)^(1/4)/(x^8+x^4-1),x, algorithm=""fricas"")","-\frac{1}{20} \, \sqrt{10} \sqrt{\sqrt{5} + 1} \arctan\left(-\frac{\sqrt{2} {\left(2 \, \sqrt{10} {\left(5 \, x^{6} - \sqrt{5} {\left(x^{6} - 2 \, x^{2}\right)}\right)} \sqrt{x^{4} + 1} - \sqrt{10} {\left(5 \, x^{8} - 5 \, x^{4} - \sqrt{5} {\left(5 \, x^{8} + 3 \, x^{4} - 1\right)} - 5\right)}\right)} {\left(\sqrt{5} + 1\right)} + 4 \, {\left(\sqrt{10} {\left(5 \, x^{5} - \sqrt{5} {\left(x^{5} - 2 \, x\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + \sqrt{10} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(5 \, x^{3} + \sqrt{5} {\left(2 \, x^{7} + x^{3}\right)}\right)}\right)} \sqrt{\sqrt{5} + 1}}{40 \, {\left(x^{8} + x^{4} - 1\right)}}\right) + \frac{1}{20} \, \sqrt{10} \sqrt{\sqrt{5} - 1} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{10} {\left(5 \, x^{6} + \sqrt{5} {\left(x^{6} - 2 \, x^{2}\right)}\right)} \sqrt{x^{4} + 1} + \sqrt{10} {\left(5 \, x^{8} - 5 \, x^{4} + \sqrt{5} {\left(5 \, x^{8} + 3 \, x^{4} - 1\right)} - 5\right)}\right)} {\left(\sqrt{5} - 1\right)} - 4 \, {\left(\sqrt{10} {\left(5 \, x^{5} + \sqrt{5} {\left(x^{5} - 2 \, x\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} - \sqrt{10} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(5 \, x^{3} - \sqrt{5} {\left(2 \, x^{7} + x^{3}\right)}\right)}\right)} \sqrt{\sqrt{5} - 1}}{40 \, {\left(x^{8} + x^{4} - 1\right)}}\right) - \frac{1}{80} \, \sqrt{10} \sqrt{\sqrt{5} + 1} \log\left(\frac{10 \, {\left(2 \, x^{5} + \sqrt{5} x + x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + {\left(\sqrt{10} \sqrt{x^{4} + 1} {\left(5 \, x^{2} + \sqrt{5} {\left(2 \, x^{6} + x^{2}\right)}\right)} + \sqrt{10} {\left(5 \, x^{8} + 5 \, x^{4} + \sqrt{5} {\left(2 \, x^{4} + 1\right)}\right)}\right)} \sqrt{\sqrt{5} + 1} + 10 \, {\left(x^{7} + 3 \, x^{3} + \sqrt{5} {\left(x^{7} + x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x^{8} + x^{4} - 1}\right) + \frac{1}{80} \, \sqrt{10} \sqrt{\sqrt{5} + 1} \log\left(\frac{10 \, {\left(2 \, x^{5} + \sqrt{5} x + x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} - {\left(\sqrt{10} \sqrt{x^{4} + 1} {\left(5 \, x^{2} + \sqrt{5} {\left(2 \, x^{6} + x^{2}\right)}\right)} + \sqrt{10} {\left(5 \, x^{8} + 5 \, x^{4} + \sqrt{5} {\left(2 \, x^{4} + 1\right)}\right)}\right)} \sqrt{\sqrt{5} + 1} + 10 \, {\left(x^{7} + 3 \, x^{3} + \sqrt{5} {\left(x^{7} + x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x^{8} + x^{4} - 1}\right) + \frac{1}{80} \, \sqrt{10} \sqrt{\sqrt{5} - 1} \log\left(\frac{10 \, {\left(2 \, x^{5} - \sqrt{5} x + x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + {\left(\sqrt{10} \sqrt{x^{4} + 1} {\left(5 \, x^{2} - \sqrt{5} {\left(2 \, x^{6} + x^{2}\right)}\right)} - \sqrt{10} {\left(5 \, x^{8} + 5 \, x^{4} - \sqrt{5} {\left(2 \, x^{4} + 1\right)}\right)}\right)} \sqrt{\sqrt{5} - 1} - 10 \, {\left(x^{7} + 3 \, x^{3} - \sqrt{5} {\left(x^{7} + x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x^{8} + x^{4} - 1}\right) - \frac{1}{80} \, \sqrt{10} \sqrt{\sqrt{5} - 1} \log\left(\frac{10 \, {\left(2 \, x^{5} - \sqrt{5} x + x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} - {\left(\sqrt{10} \sqrt{x^{4} + 1} {\left(5 \, x^{2} - \sqrt{5} {\left(2 \, x^{6} + x^{2}\right)}\right)} - \sqrt{10} {\left(5 \, x^{8} + 5 \, x^{4} - \sqrt{5} {\left(2 \, x^{4} + 1\right)}\right)}\right)} \sqrt{\sqrt{5} - 1} - 10 \, {\left(x^{7} + 3 \, x^{3} - \sqrt{5} {\left(x^{7} + x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x^{8} + x^{4} - 1}\right)"," ",0,"-1/20*sqrt(10)*sqrt(sqrt(5) + 1)*arctan(-1/40*(sqrt(2)*(2*sqrt(10)*(5*x^6 - sqrt(5)*(x^6 - 2*x^2))*sqrt(x^4 + 1) - sqrt(10)*(5*x^8 - 5*x^4 - sqrt(5)*(5*x^8 + 3*x^4 - 1) - 5))*(sqrt(5) + 1) + 4*(sqrt(10)*(5*x^5 - sqrt(5)*(x^5 - 2*x))*(x^4 + 1)^(3/4) + sqrt(10)*(x^4 + 1)^(1/4)*(5*x^3 + sqrt(5)*(2*x^7 + x^3)))*sqrt(sqrt(5) + 1))/(x^8 + x^4 - 1)) + 1/20*sqrt(10)*sqrt(sqrt(5) - 1)*arctan(1/40*(sqrt(2)*(2*sqrt(10)*(5*x^6 + sqrt(5)*(x^6 - 2*x^2))*sqrt(x^4 + 1) + sqrt(10)*(5*x^8 - 5*x^4 + sqrt(5)*(5*x^8 + 3*x^4 - 1) - 5))*(sqrt(5) - 1) - 4*(sqrt(10)*(5*x^5 + sqrt(5)*(x^5 - 2*x))*(x^4 + 1)^(3/4) - sqrt(10)*(x^4 + 1)^(1/4)*(5*x^3 - sqrt(5)*(2*x^7 + x^3)))*sqrt(sqrt(5) - 1))/(x^8 + x^4 - 1)) - 1/80*sqrt(10)*sqrt(sqrt(5) + 1)*log((10*(2*x^5 + sqrt(5)*x + x)*(x^4 + 1)^(3/4) + (sqrt(10)*sqrt(x^4 + 1)*(5*x^2 + sqrt(5)*(2*x^6 + x^2)) + sqrt(10)*(5*x^8 + 5*x^4 + sqrt(5)*(2*x^4 + 1)))*sqrt(sqrt(5) + 1) + 10*(x^7 + 3*x^3 + sqrt(5)*(x^7 + x^3))*(x^4 + 1)^(1/4))/(x^8 + x^4 - 1)) + 1/80*sqrt(10)*sqrt(sqrt(5) + 1)*log((10*(2*x^5 + sqrt(5)*x + x)*(x^4 + 1)^(3/4) - (sqrt(10)*sqrt(x^4 + 1)*(5*x^2 + sqrt(5)*(2*x^6 + x^2)) + sqrt(10)*(5*x^8 + 5*x^4 + sqrt(5)*(2*x^4 + 1)))*sqrt(sqrt(5) + 1) + 10*(x^7 + 3*x^3 + sqrt(5)*(x^7 + x^3))*(x^4 + 1)^(1/4))/(x^8 + x^4 - 1)) + 1/80*sqrt(10)*sqrt(sqrt(5) - 1)*log((10*(2*x^5 - sqrt(5)*x + x)*(x^4 + 1)^(3/4) + (sqrt(10)*sqrt(x^4 + 1)*(5*x^2 - sqrt(5)*(2*x^6 + x^2)) - sqrt(10)*(5*x^8 + 5*x^4 - sqrt(5)*(2*x^4 + 1)))*sqrt(sqrt(5) - 1) - 10*(x^7 + 3*x^3 - sqrt(5)*(x^7 + x^3))*(x^4 + 1)^(1/4))/(x^8 + x^4 - 1)) - 1/80*sqrt(10)*sqrt(sqrt(5) - 1)*log((10*(2*x^5 - sqrt(5)*x + x)*(x^4 + 1)^(3/4) - (sqrt(10)*sqrt(x^4 + 1)*(5*x^2 - sqrt(5)*(2*x^6 + x^2)) - sqrt(10)*(5*x^8 + 5*x^4 - sqrt(5)*(2*x^4 + 1)))*sqrt(sqrt(5) - 1) - 10*(x^7 + 3*x^3 - sqrt(5)*(x^7 + x^3))*(x^4 + 1)^(1/4))/(x^8 + x^4 - 1))","B",0
2404,1,985,0,24.250314," ","integrate((x^4-2)/(x^4+1)^(1/4)/(x^8+x^4-1),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{2} \sqrt{\sqrt{5} - 1} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{5} \sqrt{2} {\left(x^{8} + x^{4}\right)} + \sqrt{2} {\left(2 \, x^{4} + 1\right)} + \sqrt{x^{4} + 1} {\left(\sqrt{5} \sqrt{2} x^{2} + \sqrt{2} {\left(2 \, x^{6} + x^{2}\right)}\right)}\right)} \sqrt{\sqrt{5} + 1} \sqrt{\sqrt{5} - 1} + 2 \, {\left({\left(x^{4} + 1\right)}^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} x + \sqrt{2} {\left(2 \, x^{5} + x\right)}\right)} + {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{7} + x^{3}\right)} + \sqrt{2} {\left(x^{7} + 3 \, x^{3}\right)}\right)}\right)} \sqrt{\sqrt{5} - 1}}{4 \, {\left(x^{8} + x^{4} - 1\right)}}\right) + \frac{1}{4} \, \sqrt{2} \sqrt{\sqrt{5} + 1} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{5} \sqrt{2} {\left(x^{8} + x^{4}\right)} - \sqrt{2} {\left(2 \, x^{4} + 1\right)} - \sqrt{x^{4} + 1} {\left(\sqrt{5} \sqrt{2} x^{2} - \sqrt{2} {\left(2 \, x^{6} + x^{2}\right)}\right)}\right)} \sqrt{\sqrt{5} + 1} \sqrt{\sqrt{5} - 1} + 2 \, {\left({\left(x^{4} + 1\right)}^{\frac{3}{4}} {\left(\sqrt{5} \sqrt{2} x - \sqrt{2} {\left(2 \, x^{5} + x\right)}\right)} - {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{7} + x^{3}\right)} - \sqrt{2} {\left(x^{7} + 3 \, x^{3}\right)}\right)}\right)} \sqrt{\sqrt{5} + 1}}{4 \, {\left(x^{8} + x^{4} - 1\right)}}\right) + \frac{1}{16} \, \sqrt{2} \sqrt{\sqrt{5} - 1} \log\left(\frac{4 \, {\left(2 \, x^{5} + \sqrt{5} x + x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + {\left(\sqrt{5} \sqrt{2} {\left(x^{8} + 3 \, x^{4} + 1\right)} + \sqrt{2} {\left(5 \, x^{8} + 7 \, x^{4} + 1\right)} + 2 \, \sqrt{x^{4} + 1} {\left(\sqrt{5} \sqrt{2} {\left(x^{6} + x^{2}\right)} + \sqrt{2} {\left(x^{6} + 3 \, x^{2}\right)}\right)}\right)} \sqrt{\sqrt{5} - 1} + 4 \, {\left(x^{7} + 3 \, x^{3} + \sqrt{5} {\left(x^{7} + x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x^{8} + x^{4} - 1}\right) - \frac{1}{16} \, \sqrt{2} \sqrt{\sqrt{5} - 1} \log\left(\frac{4 \, {\left(2 \, x^{5} + \sqrt{5} x + x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} - {\left(\sqrt{5} \sqrt{2} {\left(x^{8} + 3 \, x^{4} + 1\right)} + \sqrt{2} {\left(5 \, x^{8} + 7 \, x^{4} + 1\right)} + 2 \, \sqrt{x^{4} + 1} {\left(\sqrt{5} \sqrt{2} {\left(x^{6} + x^{2}\right)} + \sqrt{2} {\left(x^{6} + 3 \, x^{2}\right)}\right)}\right)} \sqrt{\sqrt{5} - 1} + 4 \, {\left(x^{7} + 3 \, x^{3} + \sqrt{5} {\left(x^{7} + x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x^{8} + x^{4} - 1}\right) - \frac{1}{16} \, \sqrt{2} \sqrt{\sqrt{5} + 1} \log\left(\frac{4 \, {\left(2 \, x^{5} - \sqrt{5} x + x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + {\left(\sqrt{5} \sqrt{2} {\left(x^{8} + 3 \, x^{4} + 1\right)} - \sqrt{2} {\left(5 \, x^{8} + 7 \, x^{4} + 1\right)} - 2 \, \sqrt{x^{4} + 1} {\left(\sqrt{5} \sqrt{2} {\left(x^{6} + x^{2}\right)} - \sqrt{2} {\left(x^{6} + 3 \, x^{2}\right)}\right)}\right)} \sqrt{\sqrt{5} + 1} - 4 \, {\left(x^{7} + 3 \, x^{3} - \sqrt{5} {\left(x^{7} + x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x^{8} + x^{4} - 1}\right) + \frac{1}{16} \, \sqrt{2} \sqrt{\sqrt{5} + 1} \log\left(\frac{4 \, {\left(2 \, x^{5} - \sqrt{5} x + x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} - {\left(\sqrt{5} \sqrt{2} {\left(x^{8} + 3 \, x^{4} + 1\right)} - \sqrt{2} {\left(5 \, x^{8} + 7 \, x^{4} + 1\right)} - 2 \, \sqrt{x^{4} + 1} {\left(\sqrt{5} \sqrt{2} {\left(x^{6} + x^{2}\right)} - \sqrt{2} {\left(x^{6} + 3 \, x^{2}\right)}\right)}\right)} \sqrt{\sqrt{5} + 1} - 4 \, {\left(x^{7} + 3 \, x^{3} - \sqrt{5} {\left(x^{7} + x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x^{8} + x^{4} - 1}\right)"," ",0,"-1/4*sqrt(2)*sqrt(sqrt(5) - 1)*arctan(1/4*(sqrt(2)*(sqrt(5)*sqrt(2)*(x^8 + x^4) + sqrt(2)*(2*x^4 + 1) + sqrt(x^4 + 1)*(sqrt(5)*sqrt(2)*x^2 + sqrt(2)*(2*x^6 + x^2)))*sqrt(sqrt(5) + 1)*sqrt(sqrt(5) - 1) + 2*((x^4 + 1)^(3/4)*(sqrt(5)*sqrt(2)*x + sqrt(2)*(2*x^5 + x)) + (x^4 + 1)^(1/4)*(sqrt(5)*sqrt(2)*(x^7 + x^3) + sqrt(2)*(x^7 + 3*x^3)))*sqrt(sqrt(5) - 1))/(x^8 + x^4 - 1)) + 1/4*sqrt(2)*sqrt(sqrt(5) + 1)*arctan(-1/4*(sqrt(2)*(sqrt(5)*sqrt(2)*(x^8 + x^4) - sqrt(2)*(2*x^4 + 1) - sqrt(x^4 + 1)*(sqrt(5)*sqrt(2)*x^2 - sqrt(2)*(2*x^6 + x^2)))*sqrt(sqrt(5) + 1)*sqrt(sqrt(5) - 1) + 2*((x^4 + 1)^(3/4)*(sqrt(5)*sqrt(2)*x - sqrt(2)*(2*x^5 + x)) - (x^4 + 1)^(1/4)*(sqrt(5)*sqrt(2)*(x^7 + x^3) - sqrt(2)*(x^7 + 3*x^3)))*sqrt(sqrt(5) + 1))/(x^8 + x^4 - 1)) + 1/16*sqrt(2)*sqrt(sqrt(5) - 1)*log((4*(2*x^5 + sqrt(5)*x + x)*(x^4 + 1)^(3/4) + (sqrt(5)*sqrt(2)*(x^8 + 3*x^4 + 1) + sqrt(2)*(5*x^8 + 7*x^4 + 1) + 2*sqrt(x^4 + 1)*(sqrt(5)*sqrt(2)*(x^6 + x^2) + sqrt(2)*(x^6 + 3*x^2)))*sqrt(sqrt(5) - 1) + 4*(x^7 + 3*x^3 + sqrt(5)*(x^7 + x^3))*(x^4 + 1)^(1/4))/(x^8 + x^4 - 1)) - 1/16*sqrt(2)*sqrt(sqrt(5) - 1)*log((4*(2*x^5 + sqrt(5)*x + x)*(x^4 + 1)^(3/4) - (sqrt(5)*sqrt(2)*(x^8 + 3*x^4 + 1) + sqrt(2)*(5*x^8 + 7*x^4 + 1) + 2*sqrt(x^4 + 1)*(sqrt(5)*sqrt(2)*(x^6 + x^2) + sqrt(2)*(x^6 + 3*x^2)))*sqrt(sqrt(5) - 1) + 4*(x^7 + 3*x^3 + sqrt(5)*(x^7 + x^3))*(x^4 + 1)^(1/4))/(x^8 + x^4 - 1)) - 1/16*sqrt(2)*sqrt(sqrt(5) + 1)*log((4*(2*x^5 - sqrt(5)*x + x)*(x^4 + 1)^(3/4) + (sqrt(5)*sqrt(2)*(x^8 + 3*x^4 + 1) - sqrt(2)*(5*x^8 + 7*x^4 + 1) - 2*sqrt(x^4 + 1)*(sqrt(5)*sqrt(2)*(x^6 + x^2) - sqrt(2)*(x^6 + 3*x^2)))*sqrt(sqrt(5) + 1) - 4*(x^7 + 3*x^3 - sqrt(5)*(x^7 + x^3))*(x^4 + 1)^(1/4))/(x^8 + x^4 - 1)) + 1/16*sqrt(2)*sqrt(sqrt(5) + 1)*log((4*(2*x^5 - sqrt(5)*x + x)*(x^4 + 1)^(3/4) - (sqrt(5)*sqrt(2)*(x^8 + 3*x^4 + 1) - sqrt(2)*(5*x^8 + 7*x^4 + 1) - 2*sqrt(x^4 + 1)*(sqrt(5)*sqrt(2)*(x^6 + x^2) - sqrt(2)*(x^6 + 3*x^2)))*sqrt(sqrt(5) + 1) - 4*(x^7 + 3*x^3 - sqrt(5)*(x^7 + x^3))*(x^4 + 1)^(1/4))/(x^8 + x^4 - 1))","B",0
2405,1,377,0,0.510400," ","integrate((a*x^4+b*x^3)^(1/4)*(c*x^8-d)/x^8,x, algorithm=""fricas"")","\frac{4176900 \, \left(\frac{b^{8} c^{4}}{a^{7}}\right)^{\frac{1}{4}} a b^{6} x^{7} \arctan\left(-\frac{\left(\frac{b^{8} c^{4}}{a^{7}}\right)^{\frac{3}{4}} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} a^{5} b^{2} c - \left(\frac{b^{8} c^{4}}{a^{7}}\right)^{\frac{3}{4}} a^{5} x \sqrt{\frac{\sqrt{a x^{4} + b x^{3}} b^{4} c^{2} + \sqrt{\frac{b^{8} c^{4}}{a^{7}}} a^{4} x^{2}}{x^{2}}}}{b^{8} c^{4} x}\right) - 1044225 \, \left(\frac{b^{8} c^{4}}{a^{7}}\right)^{\frac{1}{4}} a b^{6} x^{7} \log\left(\frac{3 \, {\left({\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} b^{2} c + \left(\frac{b^{8} c^{4}}{a^{7}}\right)^{\frac{1}{4}} a^{2} x\right)}}{x}\right) + 1044225 \, \left(\frac{b^{8} c^{4}}{a^{7}}\right)^{\frac{1}{4}} a b^{6} x^{7} \log\left(\frac{3 \, {\left({\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} b^{2} c - \left(\frac{b^{8} c^{4}}{a^{7}}\right)^{\frac{1}{4}} a^{2} x\right)}}{x}\right) + 4 \, {\left(1392300 \, a b^{6} c x^{8} + 348075 \, b^{7} c x^{7} - 262144 \, a^{7} d x^{6} + 65536 \, a^{6} b d x^{5} - 40960 \, a^{5} b^{2} d x^{4} + 30720 \, a^{4} b^{3} d x^{3} - 24960 \, a^{3} b^{4} d x^{2} + 21216 \, a^{2} b^{5} d x + 445536 \, a b^{6} d\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{11138400 \, a b^{6} x^{7}}"," ",0,"1/11138400*(4176900*(b^8*c^4/a^7)^(1/4)*a*b^6*x^7*arctan(-((b^8*c^4/a^7)^(3/4)*(a*x^4 + b*x^3)^(1/4)*a^5*b^2*c - (b^8*c^4/a^7)^(3/4)*a^5*x*sqrt((sqrt(a*x^4 + b*x^3)*b^4*c^2 + sqrt(b^8*c^4/a^7)*a^4*x^2)/x^2))/(b^8*c^4*x)) - 1044225*(b^8*c^4/a^7)^(1/4)*a*b^6*x^7*log(3*((a*x^4 + b*x^3)^(1/4)*b^2*c + (b^8*c^4/a^7)^(1/4)*a^2*x)/x) + 1044225*(b^8*c^4/a^7)^(1/4)*a*b^6*x^7*log(3*((a*x^4 + b*x^3)^(1/4)*b^2*c - (b^8*c^4/a^7)^(1/4)*a^2*x)/x) + 4*(1392300*a*b^6*c*x^8 + 348075*b^7*c*x^7 - 262144*a^7*d*x^6 + 65536*a^6*b*d*x^5 - 40960*a^5*b^2*d*x^4 + 30720*a^4*b^3*d*x^3 - 24960*a^3*b^4*d*x^2 + 21216*a^2*b^5*d*x + 445536*a*b^6*d)*(a*x^4 + b*x^3)^(1/4))/(a*b^6*x^7)","B",0
2406,1,74,0,0.485679," ","integrate(x^4*(x^5+2)/(x^5+1)^(1/2)/(a*x^10-x^5-1),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{a x^{10} - 2 \, \sqrt{x^{5} + 1} \sqrt{a} x^{5} + x^{5} + 1}{a x^{10} - x^{5} - 1}\right)}{5 \, \sqrt{a}}, \frac{2 \, \sqrt{-a} \arctan\left(\frac{\sqrt{-a} x^{5}}{\sqrt{x^{5} + 1}}\right)}{5 \, a}\right]"," ",0,"[1/5*log((a*x^10 - 2*sqrt(x^5 + 1)*sqrt(a)*x^5 + x^5 + 1)/(a*x^10 - x^5 - 1))/sqrt(a), 2/5*sqrt(-a)*arctan(sqrt(-a)*x^5/sqrt(x^5 + 1))/a]","A",0
2407,1,74,0,0.506372," ","integrate(x^4*(x^5-2)/(x^5-1)^(1/2)/(a*x^10-x^5+1),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{a x^{10} - 2 \, \sqrt{x^{5} - 1} \sqrt{a} x^{5} + x^{5} - 1}{a x^{10} - x^{5} + 1}\right)}{5 \, \sqrt{a}}, \frac{2 \, \sqrt{-a} \arctan\left(\frac{\sqrt{-a} x^{5}}{\sqrt{x^{5} - 1}}\right)}{5 \, a}\right]"," ",0,"[1/5*log((a*x^10 - 2*sqrt(x^5 - 1)*sqrt(a)*x^5 + x^5 - 1)/(a*x^10 - x^5 + 1))/sqrt(a), 2/5*sqrt(-a)*arctan(sqrt(-a)*x^5/sqrt(x^5 - 1))/a]","A",0
2408,1,92,0,0.503571," ","integrate(x^4*(x^5+3)/(x^5+1)^(1/2)/(-1+a-(1+2*a)*x^5+a*x^10),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{a x^{10} - {\left(2 \, a - 1\right)} x^{5} - 2 \, \sqrt{x^{5} + 1} {\left(x^{5} - 1\right)} \sqrt{a} + a + 1}{a x^{10} - {\left(2 \, a + 1\right)} x^{5} + a - 1}\right)}{5 \, \sqrt{a}}, \frac{2 \, \sqrt{-a} \arctan\left(\frac{{\left(x^{5} - 1\right)} \sqrt{-a}}{\sqrt{x^{5} + 1}}\right)}{5 \, a}\right]"," ",0,"[1/5*log((a*x^10 - (2*a - 1)*x^5 - 2*sqrt(x^5 + 1)*(x^5 - 1)*sqrt(a) + a + 1)/(a*x^10 - (2*a + 1)*x^5 + a - 1))/sqrt(a), 2/5*sqrt(-a)*arctan((x^5 - 1)*sqrt(-a)/sqrt(x^5 + 1))/a]","A",0
2409,-1,0,0,0.000000," ","integrate(1/(x^2-(a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2410,-1,0,0,0.000000," ","integrate(1/(x^2-(a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2411,1,180,0,0.727515," ","integrate(1/(a^2*x^2-b)^(1/2)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/4))^(2/3),x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, \sqrt{3} {\left(c^{2}\right)}^{\frac{1}{6}} c \arctan\left(\frac{\sqrt{3} \sqrt{c^{2}} c + 2 \, \sqrt{3} {\left(c^{2}\right)}^{\frac{5}{6}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}}{3 \, c^{2}}\right) + {\left(c^{2}\right)}^{\frac{2}{3}} \log\left({\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}} c + {\left(c^{2}\right)}^{\frac{1}{3}} c + {\left(c^{2}\right)}^{\frac{2}{3}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}\right) - 2 \, {\left(c^{2}\right)}^{\frac{2}{3}} \log\left({\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} c - {\left(c^{2}\right)}^{\frac{2}{3}}\right)\right)}}{a c^{2}}"," ",0,"-2*(2*sqrt(3)*(c^2)^(1/6)*c*arctan(1/3*(sqrt(3)*sqrt(c^2)*c + 2*sqrt(3)*(c^2)^(5/6)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3))/c^2) + (c^2)^(2/3)*log((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3)*c + (c^2)^(1/3)*c + (c^2)^(2/3)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)) - 2*(c^2)^(2/3)*log((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)*c - (c^2)^(2/3)))/(a*c^2)","A",0
2412,1,532,0,0.694479," ","integrate(1/(a^2*x^2-b)^(1/2)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/4))^(1/3),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(\sqrt{3} c \sqrt{-\frac{1}{c^{\frac{2}{3}}}} \log\left(2 \, \sqrt{3} {\left(a c^{\frac{2}{3}} x - \sqrt{a^{2} x^{2} - b} c^{\frac{2}{3}}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}} \sqrt{-\frac{1}{c^{\frac{2}{3}}}} - {\left(3 \, a c^{\frac{2}{3}} x + \sqrt{3} {\left(a c x - \sqrt{a^{2} x^{2} - b} c\right)} \sqrt{-\frac{1}{c^{\frac{2}{3}}}} - 3 \, \sqrt{a^{2} x^{2} - b} c^{\frac{2}{3}}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} + {\left(3 \, a c x - \sqrt{3} {\left(a c^{\frac{4}{3}} x - \sqrt{a^{2} x^{2} - b} c^{\frac{4}{3}}\right)} \sqrt{-\frac{1}{c^{\frac{2}{3}}}} - 3 \, \sqrt{a^{2} x^{2} - b} c\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} + 2 \, b\right) - c^{\frac{2}{3}} \log\left({\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} c^{\frac{1}{3}} + c^{\frac{2}{3}}\right) + 2 \, c^{\frac{2}{3}} \log\left({\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} - c^{\frac{1}{3}}\right)\right)}}{a c}, \frac{2 \, {\left(2 \, \sqrt{3} c^{\frac{2}{3}} \arctan\left(\frac{1}{3} \, \sqrt{3} + \frac{2 \, \sqrt{3} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}}{3 \, c^{\frac{1}{3}}}\right) - c^{\frac{2}{3}} \log\left({\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} c^{\frac{1}{3}} + c^{\frac{2}{3}}\right) + 2 \, c^{\frac{2}{3}} \log\left({\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} - c^{\frac{1}{3}}\right)\right)}}{a c}\right]"," ",0,"[2*(sqrt(3)*c*sqrt(-1/c^(2/3))*log(2*sqrt(3)*(a*c^(2/3)*x - sqrt(a^2*x^2 - b)*c^(2/3))*(a*x + sqrt(a^2*x^2 - b))^(3/4)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3)*sqrt(-1/c^(2/3)) - (3*a*c^(2/3)*x + sqrt(3)*(a*c*x - sqrt(a^2*x^2 - b)*c)*sqrt(-1/c^(2/3)) - 3*sqrt(a^2*x^2 - b)*c^(2/3))*(a*x + sqrt(a^2*x^2 - b))^(3/4)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3) + (3*a*c*x - sqrt(3)*(a*c^(4/3)*x - sqrt(a^2*x^2 - b)*c^(4/3))*sqrt(-1/c^(2/3)) - 3*sqrt(a^2*x^2 - b)*c)*(a*x + sqrt(a^2*x^2 - b))^(3/4) + 2*b) - c^(2/3)*log((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)*c^(1/3) + c^(2/3)) + 2*c^(2/3)*log((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3) - c^(1/3)))/(a*c), 2*(2*sqrt(3)*c^(2/3)*arctan(1/3*sqrt(3) + 2/3*sqrt(3)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)/c^(1/3)) - c^(2/3)*log((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)*c^(1/3) + c^(2/3)) + 2*c^(2/3)*log((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3) - c^(1/3)))/(a*c)]","A",0
2413,1,1790,0,2.230907," ","integrate(1/(-3*x^2+1)^(1/3)/(x^2-3),x, algorithm=""fricas"")","-\frac{1}{72} \, \sqrt{6} \sqrt{3} \sqrt{2} \arctan\left(\frac{36 \, \sqrt{6} \sqrt{3} \sqrt{2} {\left(3 \, x^{11} - 1117 \, x^{9} + 3918 \, x^{7} - 1866 \, x^{5} + 255 \, x^{3} - 9 \, x\right)} + \sqrt{3} {\left(\sqrt{6} \sqrt{3} \sqrt{2} {\left(x^{12} + 2184 \, x^{10} - 211215 \, x^{8} + 94152 \, x^{6} - 13581 \, x^{4} + 432 \, x^{2} + 27\right)} + 12 \, {\left(\sqrt{6} \sqrt{3} \sqrt{2} {\left(x^{10} - 107 \, x^{8} - 7262 \, x^{6} + 2322 \, x^{4} - 243 \, x^{2} + 9\right)} - 48 \, \sqrt{3} {\left(5 \, x^{9} - 245 \, x^{7} + 183 \, x^{5} - 15 \, x^{3}\right)}\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{2}{3}} - 12 \, \sqrt{3} {\left(29 \, x^{11} + 293 \, x^{9} - 2670 \, x^{7} + 4986 \, x^{5} - 1215 \, x^{3} + 81 \, x\right)} - 6 \, {\left(\sqrt{6} \sqrt{3} \sqrt{2} {\left(49 \, x^{10} - 5043 \, x^{8} + 3658 \, x^{6} + 378 \, x^{4} - 171 \, x^{2} + 9\right)} - 2 \, \sqrt{3} {\left(x^{11} + 917 \, x^{9} - 40566 \, x^{7} + 15786 \, x^{5} - 2043 \, x^{3} + 81 \, x\right)}\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{1}{3}}\right)} \sqrt{\frac{x^{6} - 93 \, x^{4} + 4 \, \sqrt{6} \sqrt{2} {\left(x^{5} + 13 \, x^{3}\right)} - 117 \, x^{2} - 2 \, {\left(4 \, \sqrt{6} \sqrt{2} x^{3} - 3 \, x^{4} - 18 \, x^{2} + 9\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{2}{3}} + {\left(6 \, x^{4} - \sqrt{6} \sqrt{2} {\left(x^{5} - 10 \, x^{3} - 27 \, x\right)} - 108 \, x^{2} - 18\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{1}{3}} + 9}{x^{6} - 9 \, x^{4} + 27 \, x^{2} - 27}} + 12 \, {\left(2 \, \sqrt{6} \sqrt{3} \sqrt{2} {\left(35 \, x^{9} - 4860 \, x^{7} + 2106 \, x^{5} - 396 \, x^{3} + 27 \, x\right)} - 3 \, \sqrt{3} {\left(x^{10} + 589 \, x^{8} + 3946 \, x^{6} - 774 \, x^{4} - 27 \, x^{2} + 9\right)}\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{2}{3}} - 3 \, \sqrt{3} {\left(x^{12} + 3150 \, x^{10} + 77991 \, x^{8} + 4260 \, x^{6} - 14337 \, x^{4} + 2862 \, x^{2} - 135\right)} - 6 \, {\left(\sqrt{6} \sqrt{3} \sqrt{2} {\left(x^{11} - 1591 \, x^{9} + 42426 \, x^{7} - 15102 \, x^{5} + 1269 \, x^{3} - 27 \, x\right)} - 6 \, \sqrt{3} {\left(27 \, x^{10} + 2307 \, x^{8} + 4574 \, x^{6} - 2538 \, x^{4} + 279 \, x^{2} - 9\right)}\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{1}{3}}}{9 \, {\left(x^{12} - 4986 \, x^{10} + 327519 \, x^{8} - 159660 \, x^{6} + 25839 \, x^{4} - 2106 \, x^{2} + 81\right)}}\right) - \frac{1}{72} \, \sqrt{6} \sqrt{3} \sqrt{2} \arctan\left(\frac{36 \, \sqrt{6} \sqrt{3} \sqrt{2} {\left(3 \, x^{11} - 1117 \, x^{9} + 3918 \, x^{7} - 1866 \, x^{5} + 255 \, x^{3} - 9 \, x\right)} + \sqrt{3} {\left(\sqrt{6} \sqrt{3} \sqrt{2} {\left(x^{12} + 2184 \, x^{10} - 211215 \, x^{8} + 94152 \, x^{6} - 13581 \, x^{4} + 432 \, x^{2} + 27\right)} + 12 \, {\left(\sqrt{6} \sqrt{3} \sqrt{2} {\left(x^{10} - 107 \, x^{8} - 7262 \, x^{6} + 2322 \, x^{4} - 243 \, x^{2} + 9\right)} + 48 \, \sqrt{3} {\left(5 \, x^{9} - 245 \, x^{7} + 183 \, x^{5} - 15 \, x^{3}\right)}\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{2}{3}} + 12 \, \sqrt{3} {\left(29 \, x^{11} + 293 \, x^{9} - 2670 \, x^{7} + 4986 \, x^{5} - 1215 \, x^{3} + 81 \, x\right)} - 6 \, {\left(\sqrt{6} \sqrt{3} \sqrt{2} {\left(49 \, x^{10} - 5043 \, x^{8} + 3658 \, x^{6} + 378 \, x^{4} - 171 \, x^{2} + 9\right)} + 2 \, \sqrt{3} {\left(x^{11} + 917 \, x^{9} - 40566 \, x^{7} + 15786 \, x^{5} - 2043 \, x^{3} + 81 \, x\right)}\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{1}{3}}\right)} \sqrt{\frac{x^{6} - 93 \, x^{4} - 4 \, \sqrt{6} \sqrt{2} {\left(x^{5} + 13 \, x^{3}\right)} - 117 \, x^{2} + 2 \, {\left(4 \, \sqrt{6} \sqrt{2} x^{3} + 3 \, x^{4} + 18 \, x^{2} - 9\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{2}{3}} + {\left(6 \, x^{4} + \sqrt{6} \sqrt{2} {\left(x^{5} - 10 \, x^{3} - 27 \, x\right)} - 108 \, x^{2} - 18\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{1}{3}} + 9}{x^{6} - 9 \, x^{4} + 27 \, x^{2} - 27}} + 12 \, {\left(2 \, \sqrt{6} \sqrt{3} \sqrt{2} {\left(35 \, x^{9} - 4860 \, x^{7} + 2106 \, x^{5} - 396 \, x^{3} + 27 \, x\right)} + 3 \, \sqrt{3} {\left(x^{10} + 589 \, x^{8} + 3946 \, x^{6} - 774 \, x^{4} - 27 \, x^{2} + 9\right)}\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{2}{3}} + 3 \, \sqrt{3} {\left(x^{12} + 3150 \, x^{10} + 77991 \, x^{8} + 4260 \, x^{6} - 14337 \, x^{4} + 2862 \, x^{2} - 135\right)} - 6 \, {\left(\sqrt{6} \sqrt{3} \sqrt{2} {\left(x^{11} - 1591 \, x^{9} + 42426 \, x^{7} - 15102 \, x^{5} + 1269 \, x^{3} - 27 \, x\right)} + 6 \, \sqrt{3} {\left(27 \, x^{10} + 2307 \, x^{8} + 4574 \, x^{6} - 2538 \, x^{4} + 279 \, x^{2} - 9\right)}\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{1}{3}}}{9 \, {\left(x^{12} - 4986 \, x^{10} + 327519 \, x^{8} - 159660 \, x^{6} + 25839 \, x^{4} - 2106 \, x^{2} + 81\right)}}\right) + \frac{1}{288} \, \sqrt{6} \sqrt{2} \log\left(\frac{12 \, {\left(x^{6} - 93 \, x^{4} + 4 \, \sqrt{6} \sqrt{2} {\left(x^{5} + 13 \, x^{3}\right)} - 117 \, x^{2} - 2 \, {\left(4 \, \sqrt{6} \sqrt{2} x^{3} - 3 \, x^{4} - 18 \, x^{2} + 9\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{2}{3}} + {\left(6 \, x^{4} - \sqrt{6} \sqrt{2} {\left(x^{5} - 10 \, x^{3} - 27 \, x\right)} - 108 \, x^{2} - 18\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{1}{3}} + 9\right)}}{x^{6} - 9 \, x^{4} + 27 \, x^{2} - 27}\right) - \frac{1}{288} \, \sqrt{6} \sqrt{2} \log\left(\frac{12 \, {\left(x^{6} - 93 \, x^{4} - 4 \, \sqrt{6} \sqrt{2} {\left(x^{5} + 13 \, x^{3}\right)} - 117 \, x^{2} + 2 \, {\left(4 \, \sqrt{6} \sqrt{2} x^{3} + 3 \, x^{4} + 18 \, x^{2} - 9\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{2}{3}} + {\left(6 \, x^{4} + \sqrt{6} \sqrt{2} {\left(x^{5} - 10 \, x^{3} - 27 \, x\right)} - 108 \, x^{2} - 18\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{1}{3}} + 9\right)}}{x^{6} - 9 \, x^{4} + 27 \, x^{2} - 27}\right) + \frac{1}{72} \, \sqrt{3} \log\left(-\frac{x^{12} + 2598 \, x^{10} + 55143 \, x^{8} + 114228 \, x^{6} - 22113 \, x^{4} - 7290 \, x^{2} + 8 \, {\left(3 \, x^{10} + 576 \, x^{8} + 5598 \, x^{6} + 5832 \, x^{4} - 729 \, x^{2} + \sqrt{3} {\left(41 \, x^{9} + 1368 \, x^{7} + 4482 \, x^{5} + 864 \, x^{3} - 243 \, x\right)}\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{2}{3}} + 4 \, \sqrt{3} {\left(25 \, x^{11} + 2359 \, x^{9} + 15426 \, x^{7} + 6966 \, x^{5} - 4347 \, x^{3} + 243 \, x\right)} - 4 \, {\left(84 \, x^{10} + 4536 \, x^{8} + 20880 \, x^{6} + 5832 \, x^{4} - 2916 \, x^{2} + \sqrt{3} {\left(x^{11} + 521 \, x^{9} + 7362 \, x^{7} + 10746 \, x^{5} - 1971 \, x^{3} - 243 \, x\right)}\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{1}{3}} + 729}{x^{12} - 18 \, x^{10} + 135 \, x^{8} - 540 \, x^{6} + 1215 \, x^{4} - 1458 \, x^{2} + 729}\right)"," ",0,"-1/72*sqrt(6)*sqrt(3)*sqrt(2)*arctan(1/9*(36*sqrt(6)*sqrt(3)*sqrt(2)*(3*x^11 - 1117*x^9 + 3918*x^7 - 1866*x^5 + 255*x^3 - 9*x) + sqrt(3)*(sqrt(6)*sqrt(3)*sqrt(2)*(x^12 + 2184*x^10 - 211215*x^8 + 94152*x^6 - 13581*x^4 + 432*x^2 + 27) + 12*(sqrt(6)*sqrt(3)*sqrt(2)*(x^10 - 107*x^8 - 7262*x^6 + 2322*x^4 - 243*x^2 + 9) - 48*sqrt(3)*(5*x^9 - 245*x^7 + 183*x^5 - 15*x^3))*(-3*x^2 + 1)^(2/3) - 12*sqrt(3)*(29*x^11 + 293*x^9 - 2670*x^7 + 4986*x^5 - 1215*x^3 + 81*x) - 6*(sqrt(6)*sqrt(3)*sqrt(2)*(49*x^10 - 5043*x^8 + 3658*x^6 + 378*x^4 - 171*x^2 + 9) - 2*sqrt(3)*(x^11 + 917*x^9 - 40566*x^7 + 15786*x^5 - 2043*x^3 + 81*x))*(-3*x^2 + 1)^(1/3))*sqrt((x^6 - 93*x^4 + 4*sqrt(6)*sqrt(2)*(x^5 + 13*x^3) - 117*x^2 - 2*(4*sqrt(6)*sqrt(2)*x^3 - 3*x^4 - 18*x^2 + 9)*(-3*x^2 + 1)^(2/3) + (6*x^4 - sqrt(6)*sqrt(2)*(x^5 - 10*x^3 - 27*x) - 108*x^2 - 18)*(-3*x^2 + 1)^(1/3) + 9)/(x^6 - 9*x^4 + 27*x^2 - 27)) + 12*(2*sqrt(6)*sqrt(3)*sqrt(2)*(35*x^9 - 4860*x^7 + 2106*x^5 - 396*x^3 + 27*x) - 3*sqrt(3)*(x^10 + 589*x^8 + 3946*x^6 - 774*x^4 - 27*x^2 + 9))*(-3*x^2 + 1)^(2/3) - 3*sqrt(3)*(x^12 + 3150*x^10 + 77991*x^8 + 4260*x^6 - 14337*x^4 + 2862*x^2 - 135) - 6*(sqrt(6)*sqrt(3)*sqrt(2)*(x^11 - 1591*x^9 + 42426*x^7 - 15102*x^5 + 1269*x^3 - 27*x) - 6*sqrt(3)*(27*x^10 + 2307*x^8 + 4574*x^6 - 2538*x^4 + 279*x^2 - 9))*(-3*x^2 + 1)^(1/3))/(x^12 - 4986*x^10 + 327519*x^8 - 159660*x^6 + 25839*x^4 - 2106*x^2 + 81)) - 1/72*sqrt(6)*sqrt(3)*sqrt(2)*arctan(1/9*(36*sqrt(6)*sqrt(3)*sqrt(2)*(3*x^11 - 1117*x^9 + 3918*x^7 - 1866*x^5 + 255*x^3 - 9*x) + sqrt(3)*(sqrt(6)*sqrt(3)*sqrt(2)*(x^12 + 2184*x^10 - 211215*x^8 + 94152*x^6 - 13581*x^4 + 432*x^2 + 27) + 12*(sqrt(6)*sqrt(3)*sqrt(2)*(x^10 - 107*x^8 - 7262*x^6 + 2322*x^4 - 243*x^2 + 9) + 48*sqrt(3)*(5*x^9 - 245*x^7 + 183*x^5 - 15*x^3))*(-3*x^2 + 1)^(2/3) + 12*sqrt(3)*(29*x^11 + 293*x^9 - 2670*x^7 + 4986*x^5 - 1215*x^3 + 81*x) - 6*(sqrt(6)*sqrt(3)*sqrt(2)*(49*x^10 - 5043*x^8 + 3658*x^6 + 378*x^4 - 171*x^2 + 9) + 2*sqrt(3)*(x^11 + 917*x^9 - 40566*x^7 + 15786*x^5 - 2043*x^3 + 81*x))*(-3*x^2 + 1)^(1/3))*sqrt((x^6 - 93*x^4 - 4*sqrt(6)*sqrt(2)*(x^5 + 13*x^3) - 117*x^2 + 2*(4*sqrt(6)*sqrt(2)*x^3 + 3*x^4 + 18*x^2 - 9)*(-3*x^2 + 1)^(2/3) + (6*x^4 + sqrt(6)*sqrt(2)*(x^5 - 10*x^3 - 27*x) - 108*x^2 - 18)*(-3*x^2 + 1)^(1/3) + 9)/(x^6 - 9*x^4 + 27*x^2 - 27)) + 12*(2*sqrt(6)*sqrt(3)*sqrt(2)*(35*x^9 - 4860*x^7 + 2106*x^5 - 396*x^3 + 27*x) + 3*sqrt(3)*(x^10 + 589*x^8 + 3946*x^6 - 774*x^4 - 27*x^2 + 9))*(-3*x^2 + 1)^(2/3) + 3*sqrt(3)*(x^12 + 3150*x^10 + 77991*x^8 + 4260*x^6 - 14337*x^4 + 2862*x^2 - 135) - 6*(sqrt(6)*sqrt(3)*sqrt(2)*(x^11 - 1591*x^9 + 42426*x^7 - 15102*x^5 + 1269*x^3 - 27*x) + 6*sqrt(3)*(27*x^10 + 2307*x^8 + 4574*x^6 - 2538*x^4 + 279*x^2 - 9))*(-3*x^2 + 1)^(1/3))/(x^12 - 4986*x^10 + 327519*x^8 - 159660*x^6 + 25839*x^4 - 2106*x^2 + 81)) + 1/288*sqrt(6)*sqrt(2)*log(12*(x^6 - 93*x^4 + 4*sqrt(6)*sqrt(2)*(x^5 + 13*x^3) - 117*x^2 - 2*(4*sqrt(6)*sqrt(2)*x^3 - 3*x^4 - 18*x^2 + 9)*(-3*x^2 + 1)^(2/3) + (6*x^4 - sqrt(6)*sqrt(2)*(x^5 - 10*x^3 - 27*x) - 108*x^2 - 18)*(-3*x^2 + 1)^(1/3) + 9)/(x^6 - 9*x^4 + 27*x^2 - 27)) - 1/288*sqrt(6)*sqrt(2)*log(12*(x^6 - 93*x^4 - 4*sqrt(6)*sqrt(2)*(x^5 + 13*x^3) - 117*x^2 + 2*(4*sqrt(6)*sqrt(2)*x^3 + 3*x^4 + 18*x^2 - 9)*(-3*x^2 + 1)^(2/3) + (6*x^4 + sqrt(6)*sqrt(2)*(x^5 - 10*x^3 - 27*x) - 108*x^2 - 18)*(-3*x^2 + 1)^(1/3) + 9)/(x^6 - 9*x^4 + 27*x^2 - 27)) + 1/72*sqrt(3)*log(-(x^12 + 2598*x^10 + 55143*x^8 + 114228*x^6 - 22113*x^4 - 7290*x^2 + 8*(3*x^10 + 576*x^8 + 5598*x^6 + 5832*x^4 - 729*x^2 + sqrt(3)*(41*x^9 + 1368*x^7 + 4482*x^5 + 864*x^3 - 243*x))*(-3*x^2 + 1)^(2/3) + 4*sqrt(3)*(25*x^11 + 2359*x^9 + 15426*x^7 + 6966*x^5 - 4347*x^3 + 243*x) - 4*(84*x^10 + 4536*x^8 + 20880*x^6 + 5832*x^4 - 2916*x^2 + sqrt(3)*(x^11 + 521*x^9 + 7362*x^7 + 10746*x^5 - 1971*x^3 - 243*x))*(-3*x^2 + 1)^(1/3) + 729)/(x^12 - 18*x^10 + 135*x^8 - 540*x^6 + 1215*x^4 - 1458*x^2 + 729))","B",0
2414,1,535,0,0.564533," ","integrate((-a+x)/(x^2*(-a+x))^(1/3)/(a^2*d-2*a*d*x+(-1+d)*x^2),x, algorithm=""fricas"")","-\sqrt{3} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} \arctan\left(\frac{2 \, \sqrt{3} a d x \sqrt{\frac{{\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} a^{5} d^{4} x \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{5}{6}} + a^{4} d^{3} x^{2} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{2}{3}} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}}}{x^{2}}} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} - 2 \, \sqrt{3} {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} a d \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} - \sqrt{3} x}{3 \, x}\right) - \sqrt{3} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} \arctan\left(\frac{2 \, \sqrt{3} a d x \sqrt{-\frac{{\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} a^{5} d^{4} x \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{5}{6}} - a^{4} d^{3} x^{2} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{2}{3}} - {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}}}{x^{2}}} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} - 2 \, \sqrt{3} {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} a d \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} + \sqrt{3} x}{3 \, x}\right) - \frac{1}{2} \, \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} \log\left(\frac{a^{5} d^{4} x \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{5}{6}} + {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} \log\left(-\frac{a^{5} d^{4} x \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{5}{6}} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{4} \, \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} \log\left(\frac{{\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} a^{5} d^{4} x \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{5}{6}} + a^{4} d^{3} x^{2} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{2}{3}} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}}}{x^{2}}\right) + \frac{1}{4} \, \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} \log\left(-\frac{{\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} a^{5} d^{4} x \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{5}{6}} - a^{4} d^{3} x^{2} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{2}{3}} - {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-sqrt(3)*(1/(a^6*d^5))^(1/6)*arctan(1/3*(2*sqrt(3)*a*d*x*sqrt(((-a*x^2 + x^3)^(1/3)*a^5*d^4*x*(1/(a^6*d^5))^(5/6) + a^4*d^3*x^2*(1/(a^6*d^5))^(2/3) + (-a*x^2 + x^3)^(2/3))/x^2)*(1/(a^6*d^5))^(1/6) - 2*sqrt(3)*(-a*x^2 + x^3)^(1/3)*a*d*(1/(a^6*d^5))^(1/6) - sqrt(3)*x)/x) - sqrt(3)*(1/(a^6*d^5))^(1/6)*arctan(1/3*(2*sqrt(3)*a*d*x*sqrt(-((-a*x^2 + x^3)^(1/3)*a^5*d^4*x*(1/(a^6*d^5))^(5/6) - a^4*d^3*x^2*(1/(a^6*d^5))^(2/3) - (-a*x^2 + x^3)^(2/3))/x^2)*(1/(a^6*d^5))^(1/6) - 2*sqrt(3)*(-a*x^2 + x^3)^(1/3)*a*d*(1/(a^6*d^5))^(1/6) + sqrt(3)*x)/x) - 1/2*(1/(a^6*d^5))^(1/6)*log((a^5*d^4*x*(1/(a^6*d^5))^(5/6) + (-a*x^2 + x^3)^(1/3))/x) + 1/2*(1/(a^6*d^5))^(1/6)*log(-(a^5*d^4*x*(1/(a^6*d^5))^(5/6) - (-a*x^2 + x^3)^(1/3))/x) - 1/4*(1/(a^6*d^5))^(1/6)*log(((-a*x^2 + x^3)^(1/3)*a^5*d^4*x*(1/(a^6*d^5))^(5/6) + a^4*d^3*x^2*(1/(a^6*d^5))^(2/3) + (-a*x^2 + x^3)^(2/3))/x^2) + 1/4*(1/(a^6*d^5))^(1/6)*log(-((-a*x^2 + x^3)^(1/3)*a^5*d^4*x*(1/(a^6*d^5))^(5/6) - a^4*d^3*x^2*(1/(a^6*d^5))^(2/3) - (-a*x^2 + x^3)^(2/3))/x^2)","B",0
2415,1,1231,0,0.609414," ","integrate((2*x^8-a*x^4+b)/(a*x^4-b)^(1/4)/(3*a*x^4+b),x, algorithm=""fricas"")","\frac{16 \, \left(\frac{1}{4}\right)^{\frac{1}{4}} a^{2} \left(\frac{1296 \, a^{8} + 864 \, a^{6} b + 216 \, a^{4} b^{2} + 24 \, a^{2} b^{3} + b^{4}}{a^{9}}\right)^{\frac{1}{4}} \arctan\left(\frac{\left(\frac{1}{4}\right)^{\frac{1}{4}} a^{2} x \sqrt{\frac{2 \, {\left(1296 \, a^{13} + 864 \, a^{11} b + 216 \, a^{9} b^{2} + 24 \, a^{7} b^{3} + a^{5} b^{4}\right)} x^{2} \sqrt{\frac{1296 \, a^{8} + 864 \, a^{6} b + 216 \, a^{4} b^{2} + 24 \, a^{2} b^{3} + b^{4}}{a^{9}}} + {\left(46656 \, a^{12} + 46656 \, a^{10} b + 19440 \, a^{8} b^{2} + 4320 \, a^{6} b^{3} + 540 \, a^{4} b^{4} + 36 \, a^{2} b^{5} + b^{6}\right)} \sqrt{a x^{4} - b}}{x^{2}}} \left(\frac{1296 \, a^{8} + 864 \, a^{6} b + 216 \, a^{4} b^{2} + 24 \, a^{2} b^{3} + b^{4}}{a^{9}}\right)^{\frac{1}{4}} - \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(216 \, a^{8} + 108 \, a^{6} b + 18 \, a^{4} b^{2} + a^{2} b^{3}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}} \left(\frac{1296 \, a^{8} + 864 \, a^{6} b + 216 \, a^{4} b^{2} + 24 \, a^{2} b^{3} + b^{4}}{a^{9}}\right)^{\frac{1}{4}}}{{\left(1296 \, a^{8} + 864 \, a^{6} b + 216 \, a^{4} b^{2} + 24 \, a^{2} b^{3} + b^{4}\right)} x}\right) + 4 \, \left(\frac{1}{4}\right)^{\frac{1}{4}} a^{2} \left(\frac{1296 \, a^{8} + 864 \, a^{6} b + 216 \, a^{4} b^{2} + 24 \, a^{2} b^{3} + b^{4}}{a^{9}}\right)^{\frac{1}{4}} \log\left(\frac{4 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{7} x \left(\frac{1296 \, a^{8} + 864 \, a^{6} b + 216 \, a^{4} b^{2} + 24 \, a^{2} b^{3} + b^{4}}{a^{9}}\right)^{\frac{3}{4}} + {\left(216 \, a^{6} + 108 \, a^{4} b + 18 \, a^{2} b^{2} + b^{3}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right) - 4 \, \left(\frac{1}{4}\right)^{\frac{1}{4}} a^{2} \left(\frac{1296 \, a^{8} + 864 \, a^{6} b + 216 \, a^{4} b^{2} + 24 \, a^{2} b^{3} + b^{4}}{a^{9}}\right)^{\frac{1}{4}} \log\left(-\frac{4 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{7} x \left(\frac{1296 \, a^{8} + 864 \, a^{6} b + 216 \, a^{4} b^{2} + 24 \, a^{2} b^{3} + b^{4}}{a^{9}}\right)^{\frac{3}{4}} - {\left(216 \, a^{6} + 108 \, a^{4} b + 18 \, a^{2} b^{2} + b^{3}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right) - 4 \, a^{2} \left(\frac{1296 \, a^{8} + 864 \, a^{6} b + 216 \, a^{4} b^{2} + 24 \, a^{2} b^{3} + b^{4}}{a^{9}}\right)^{\frac{1}{4}} \arctan\left(\frac{a^{2} x \sqrt{\frac{{\left(1296 \, a^{13} + 864 \, a^{11} b + 216 \, a^{9} b^{2} + 24 \, a^{7} b^{3} + a^{5} b^{4}\right)} x^{2} \sqrt{\frac{1296 \, a^{8} + 864 \, a^{6} b + 216 \, a^{4} b^{2} + 24 \, a^{2} b^{3} + b^{4}}{a^{9}}} + {\left(46656 \, a^{12} + 46656 \, a^{10} b + 19440 \, a^{8} b^{2} + 4320 \, a^{6} b^{3} + 540 \, a^{4} b^{4} + 36 \, a^{2} b^{5} + b^{6}\right)} \sqrt{a x^{4} - b}}{x^{2}}} \left(\frac{1296 \, a^{8} + 864 \, a^{6} b + 216 \, a^{4} b^{2} + 24 \, a^{2} b^{3} + b^{4}}{a^{9}}\right)^{\frac{1}{4}} - {\left(216 \, a^{8} + 108 \, a^{6} b + 18 \, a^{4} b^{2} + a^{2} b^{3}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}} \left(\frac{1296 \, a^{8} + 864 \, a^{6} b + 216 \, a^{4} b^{2} + 24 \, a^{2} b^{3} + b^{4}}{a^{9}}\right)^{\frac{1}{4}}}{{\left(1296 \, a^{8} + 864 \, a^{6} b + 216 \, a^{4} b^{2} + 24 \, a^{2} b^{3} + b^{4}\right)} x}\right) - a^{2} \left(\frac{1296 \, a^{8} + 864 \, a^{6} b + 216 \, a^{4} b^{2} + 24 \, a^{2} b^{3} + b^{4}}{a^{9}}\right)^{\frac{1}{4}} \log\left(\frac{a^{7} x \left(\frac{1296 \, a^{8} + 864 \, a^{6} b + 216 \, a^{4} b^{2} + 24 \, a^{2} b^{3} + b^{4}}{a^{9}}\right)^{\frac{3}{4}} + {\left(216 \, a^{6} + 108 \, a^{4} b + 18 \, a^{2} b^{2} + b^{3}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right) + a^{2} \left(\frac{1296 \, a^{8} + 864 \, a^{6} b + 216 \, a^{4} b^{2} + 24 \, a^{2} b^{3} + b^{4}}{a^{9}}\right)^{\frac{1}{4}} \log\left(-\frac{a^{7} x \left(\frac{1296 \, a^{8} + 864 \, a^{6} b + 216 \, a^{4} b^{2} + 24 \, a^{2} b^{3} + b^{4}}{a^{9}}\right)^{\frac{3}{4}} - {\left(216 \, a^{6} + 108 \, a^{4} b + 18 \, a^{2} b^{2} + b^{3}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right) + 12 \, {\left(a x^{4} - b\right)}^{\frac{3}{4}} x}{72 \, a^{2}}"," ",0,"1/72*(16*(1/4)^(1/4)*a^2*((1296*a^8 + 864*a^6*b + 216*a^4*b^2 + 24*a^2*b^3 + b^4)/a^9)^(1/4)*arctan(((1/4)^(1/4)*a^2*x*sqrt((2*(1296*a^13 + 864*a^11*b + 216*a^9*b^2 + 24*a^7*b^3 + a^5*b^4)*x^2*sqrt((1296*a^8 + 864*a^6*b + 216*a^4*b^2 + 24*a^2*b^3 + b^4)/a^9) + (46656*a^12 + 46656*a^10*b + 19440*a^8*b^2 + 4320*a^6*b^3 + 540*a^4*b^4 + 36*a^2*b^5 + b^6)*sqrt(a*x^4 - b))/x^2)*((1296*a^8 + 864*a^6*b + 216*a^4*b^2 + 24*a^2*b^3 + b^4)/a^9)^(1/4) - (1/4)^(1/4)*(216*a^8 + 108*a^6*b + 18*a^4*b^2 + a^2*b^3)*(a*x^4 - b)^(1/4)*((1296*a^8 + 864*a^6*b + 216*a^4*b^2 + 24*a^2*b^3 + b^4)/a^9)^(1/4))/((1296*a^8 + 864*a^6*b + 216*a^4*b^2 + 24*a^2*b^3 + b^4)*x)) + 4*(1/4)^(1/4)*a^2*((1296*a^8 + 864*a^6*b + 216*a^4*b^2 + 24*a^2*b^3 + b^4)/a^9)^(1/4)*log((4*(1/4)^(3/4)*a^7*x*((1296*a^8 + 864*a^6*b + 216*a^4*b^2 + 24*a^2*b^3 + b^4)/a^9)^(3/4) + (216*a^6 + 108*a^4*b + 18*a^2*b^2 + b^3)*(a*x^4 - b)^(1/4))/x) - 4*(1/4)^(1/4)*a^2*((1296*a^8 + 864*a^6*b + 216*a^4*b^2 + 24*a^2*b^3 + b^4)/a^9)^(1/4)*log(-(4*(1/4)^(3/4)*a^7*x*((1296*a^8 + 864*a^6*b + 216*a^4*b^2 + 24*a^2*b^3 + b^4)/a^9)^(3/4) - (216*a^6 + 108*a^4*b + 18*a^2*b^2 + b^3)*(a*x^4 - b)^(1/4))/x) - 4*a^2*((1296*a^8 + 864*a^6*b + 216*a^4*b^2 + 24*a^2*b^3 + b^4)/a^9)^(1/4)*arctan((a^2*x*sqrt(((1296*a^13 + 864*a^11*b + 216*a^9*b^2 + 24*a^7*b^3 + a^5*b^4)*x^2*sqrt((1296*a^8 + 864*a^6*b + 216*a^4*b^2 + 24*a^2*b^3 + b^4)/a^9) + (46656*a^12 + 46656*a^10*b + 19440*a^8*b^2 + 4320*a^6*b^3 + 540*a^4*b^4 + 36*a^2*b^5 + b^6)*sqrt(a*x^4 - b))/x^2)*((1296*a^8 + 864*a^6*b + 216*a^4*b^2 + 24*a^2*b^3 + b^4)/a^9)^(1/4) - (216*a^8 + 108*a^6*b + 18*a^4*b^2 + a^2*b^3)*(a*x^4 - b)^(1/4)*((1296*a^8 + 864*a^6*b + 216*a^4*b^2 + 24*a^2*b^3 + b^4)/a^9)^(1/4))/((1296*a^8 + 864*a^6*b + 216*a^4*b^2 + 24*a^2*b^3 + b^4)*x)) - a^2*((1296*a^8 + 864*a^6*b + 216*a^4*b^2 + 24*a^2*b^3 + b^4)/a^9)^(1/4)*log((a^7*x*((1296*a^8 + 864*a^6*b + 216*a^4*b^2 + 24*a^2*b^3 + b^4)/a^9)^(3/4) + (216*a^6 + 108*a^4*b + 18*a^2*b^2 + b^3)*(a*x^4 - b)^(1/4))/x) + a^2*((1296*a^8 + 864*a^6*b + 216*a^4*b^2 + 24*a^2*b^3 + b^4)/a^9)^(1/4)*log(-(a^7*x*((1296*a^8 + 864*a^6*b + 216*a^4*b^2 + 24*a^2*b^3 + b^4)/a^9)^(3/4) - (216*a^6 + 108*a^4*b + 18*a^2*b^2 + b^3)*(a*x^4 - b)^(1/4))/x) + 12*(a*x^4 - b)^(3/4)*x)/a^2","B",0
2416,1,112,0,0.500988," ","integrate((c*x^2+d)/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(15 \, a^{4} c x^{4} + 8 \, b^{4} c - 35 \, a^{2} b^{2} d + {\left(a^{2} b^{2} c + 35 \, a^{4} d\right)} x^{2} - {\left(15 \, a^{3} c x^{3} + {\left(4 \, a b^{2} c + 35 \, a^{3} d\right)} x\right)} \sqrt{a^{2} x^{2} + b^{2}}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}{105 \, a^{3} b^{2}}"," ",0,"-2/105*(15*a^4*c*x^4 + 8*b^4*c - 35*a^2*b^2*d + (a^2*b^2*c + 35*a^4*d)*x^2 - (15*a^3*c*x^3 + (4*a*b^2*c + 35*a^3*d)*x)*sqrt(a^2*x^2 + b^2))*sqrt(a*x + sqrt(a^2*x^2 + b^2))/(a^3*b^2)","A",0
2417,1,385,0,0.517984," ","integrate((a*x^4+b*x^3)^(1/4)*(d*x^8-c)/x^4,x, algorithm=""fricas"")","\frac{263340 \, \left(\frac{b^{24} d^{4}}{a^{23}}\right)^{\frac{1}{4}} a^{5} b^{2} x^{3} \arctan\left(-\frac{\left(\frac{b^{24} d^{4}}{a^{23}}\right)^{\frac{3}{4}} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} a^{17} b^{6} d - \left(\frac{b^{24} d^{4}}{a^{23}}\right)^{\frac{3}{4}} a^{17} x \sqrt{\frac{\sqrt{a x^{4} + b x^{3}} b^{12} d^{2} + \sqrt{\frac{b^{24} d^{4}}{a^{23}}} a^{12} x^{2}}{x^{2}}}}{b^{24} d^{4} x}\right) - 65835 \, \left(\frac{b^{24} d^{4}}{a^{23}}\right)^{\frac{1}{4}} a^{5} b^{2} x^{3} \log\left(\frac{1463 \, {\left({\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} b^{6} d + \left(\frac{b^{24} d^{4}}{a^{23}}\right)^{\frac{1}{4}} a^{6} x\right)}}{x}\right) + 65835 \, \left(\frac{b^{24} d^{4}}{a^{23}}\right)^{\frac{1}{4}} a^{5} b^{2} x^{3} \log\left(\frac{1463 \, {\left({\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} b^{6} d - \left(\frac{b^{24} d^{4}}{a^{23}}\right)^{\frac{1}{4}} a^{6} x\right)}}{x}\right) + 4 \, {\left(122880 \, a^{5} b^{2} d x^{8} + 6144 \, a^{4} b^{3} d x^{7} - 7296 \, a^{3} b^{4} d x^{6} + 9120 \, a^{2} b^{5} d x^{5} - 12540 \, a b^{6} d x^{4} + 21945 \, b^{7} d x^{3} - 262144 \, a^{7} c x^{2} + 65536 \, a^{6} b c x + 327680 \, a^{5} b^{2} c\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{2949120 \, a^{5} b^{2} x^{3}}"," ",0,"1/2949120*(263340*(b^24*d^4/a^23)^(1/4)*a^5*b^2*x^3*arctan(-((b^24*d^4/a^23)^(3/4)*(a*x^4 + b*x^3)^(1/4)*a^17*b^6*d - (b^24*d^4/a^23)^(3/4)*a^17*x*sqrt((sqrt(a*x^4 + b*x^3)*b^12*d^2 + sqrt(b^24*d^4/a^23)*a^12*x^2)/x^2))/(b^24*d^4*x)) - 65835*(b^24*d^4/a^23)^(1/4)*a^5*b^2*x^3*log(1463*((a*x^4 + b*x^3)^(1/4)*b^6*d + (b^24*d^4/a^23)^(1/4)*a^6*x)/x) + 65835*(b^24*d^4/a^23)^(1/4)*a^5*b^2*x^3*log(1463*((a*x^4 + b*x^3)^(1/4)*b^6*d - (b^24*d^4/a^23)^(1/4)*a^6*x)/x) + 4*(122880*a^5*b^2*d*x^8 + 6144*a^4*b^3*d*x^7 - 7296*a^3*b^4*d*x^6 + 9120*a^2*b^5*d*x^5 - 12540*a*b^6*d*x^4 + 21945*b^7*d*x^3 - 262144*a^7*c*x^2 + 65536*a^6*b*c*x + 327680*a^5*b^2*c)*(a*x^4 + b*x^3)^(1/4))/(a^5*b^2*x^3)","B",0
2418,-1,0,0,0.000000," ","integrate((a*x^2+b^2)^(5/2)/(b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2419,1,98,0,0.656104," ","integrate((x+(x^2+1)^(1/2))^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{1}{105} \, {\left({\left(135 \, x - 75 \, \sqrt{x^{2} + 1} - 8\right)} \sqrt{x + \sqrt{x^{2} + 1}} + 6 \, x + 6 \, \sqrt{x^{2} + 1} + 16\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \frac{1}{2} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) + \frac{1}{2} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right)"," ",0,"1/105*((135*x - 75*sqrt(x^2 + 1) - 8)*sqrt(x + sqrt(x^2 + 1)) + 6*x + 6*sqrt(x^2 + 1) + 16)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1/2*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) + 1/2*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1)","A",0
2420,-1,0,0,0.000000," ","integrate((_C3*x^2-_C4)*(3*_C3*x^2+3*_C4+x)/x/((_C3*x^2+_C0*x+_C4)/(_C3*x^2+_C1*x+_C4))^(1/2)/(_C3^2*x^4+2*_C3*_C4*x^2+_C4^2-x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2421,1,368,0,4.655722," ","integrate((x^6+1)/(x^5+x)^(1/3)/(x^6-1),x, algorithm=""fricas"")","-\frac{1}{36} \, \sqrt{6} 2^{\frac{1}{6}} \arctan\left(\frac{2^{\frac{1}{6}} {\left(6 \, \sqrt{6} 2^{\frac{2}{3}} {\left(x^{8} + 14 \, x^{6} + 6 \, x^{4} + 14 \, x^{2} + 1\right)} {\left(x^{5} + x\right)}^{\frac{2}{3}} - \sqrt{6} 2^{\frac{1}{3}} {\left(x^{12} - 24 \, x^{10} - 57 \, x^{8} - 56 \, x^{6} - 57 \, x^{4} - 24 \, x^{2} + 1\right)} - 24 \, \sqrt{6} {\left(x^{9} - x^{7} - x^{3} + x\right)} {\left(x^{5} + x\right)}^{\frac{1}{3}}\right)}}{6 \, {\left(x^{12} + 48 \, x^{10} + 15 \, x^{8} + 88 \, x^{6} + 15 \, x^{4} + 48 \, x^{2} + 1\right)}}\right) - \frac{1}{72} \cdot 2^{\frac{2}{3}} \log\left(\frac{2^{\frac{2}{3}} {\left(x^{8} + 14 \, x^{6} + 6 \, x^{4} + 14 \, x^{2} + 1\right)} + 12 \cdot 2^{\frac{1}{3}} {\left(x^{5} + x^{3} + x\right)} {\left(x^{5} + x\right)}^{\frac{1}{3}} + 6 \, {\left(x^{5} + x\right)}^{\frac{2}{3}} {\left(x^{4} + 4 \, x^{2} + 1\right)}}{x^{8} - 4 \, x^{6} + 6 \, x^{4} - 4 \, x^{2} + 1}\right) + \frac{1}{36} \cdot 2^{\frac{2}{3}} \log\left(\frac{3 \cdot 2^{\frac{2}{3}} {\left(x^{5} + x\right)}^{\frac{2}{3}} - 2^{\frac{1}{3}} {\left(x^{4} - 2 \, x^{2} + 1\right)} - 6 \, {\left(x^{5} + x\right)}^{\frac{1}{3}} x}{x^{4} - 2 \, x^{2} + 1}\right) + \frac{1}{3} \, \sqrt{3} \arctan\left(-\frac{\sqrt{3} x - 2 \, \sqrt{3} {\left(x^{5} + x\right)}^{\frac{1}{3}}}{3 \, x}\right) - \frac{1}{6} \, \log\left(\frac{x^{4} + x^{2} + 3 \, {\left(x^{5} + x\right)}^{\frac{1}{3}} x + 3 \, {\left(x^{5} + x\right)}^{\frac{2}{3}} + 1}{x^{4} + x^{2} + 1}\right)"," ",0,"-1/36*sqrt(6)*2^(1/6)*arctan(1/6*2^(1/6)*(6*sqrt(6)*2^(2/3)*(x^8 + 14*x^6 + 6*x^4 + 14*x^2 + 1)*(x^5 + x)^(2/3) - sqrt(6)*2^(1/3)*(x^12 - 24*x^10 - 57*x^8 - 56*x^6 - 57*x^4 - 24*x^2 + 1) - 24*sqrt(6)*(x^9 - x^7 - x^3 + x)*(x^5 + x)^(1/3))/(x^12 + 48*x^10 + 15*x^8 + 88*x^6 + 15*x^4 + 48*x^2 + 1)) - 1/72*2^(2/3)*log((2^(2/3)*(x^8 + 14*x^6 + 6*x^4 + 14*x^2 + 1) + 12*2^(1/3)*(x^5 + x^3 + x)*(x^5 + x)^(1/3) + 6*(x^5 + x)^(2/3)*(x^4 + 4*x^2 + 1))/(x^8 - 4*x^6 + 6*x^4 - 4*x^2 + 1)) + 1/36*2^(2/3)*log((3*2^(2/3)*(x^5 + x)^(2/3) - 2^(1/3)*(x^4 - 2*x^2 + 1) - 6*(x^5 + x)^(1/3)*x)/(x^4 - 2*x^2 + 1)) + 1/3*sqrt(3)*arctan(-1/3*(sqrt(3)*x - 2*sqrt(3)*(x^5 + x)^(1/3))/x) - 1/6*log((x^4 + x^2 + 3*(x^5 + x)^(1/3)*x + 3*(x^5 + x)^(2/3) + 1)/(x^4 + x^2 + 1))","B",0
2422,1,2143,0,0.680960," ","integrate(1/x^2/(x^8-7*x^7+16*x^6-7*x^5-20*x^4+17*x^3+11*x^2-8*x-4)^(1/3),x, algorithm=""fricas"")","\frac{12 \cdot 50^{\frac{2}{3}} \sqrt{3} {\left(x^{6} - 4 \, x^{5} + 3 \, x^{4} + 4 \, x^{3} - 3 \, x^{2} - 2 \, x\right)} {\left(3 \, \sqrt{5} - 5\right)}^{\frac{1}{3}} \arctan\left(\frac{50^{\frac{2}{3}} \sqrt{5} \sqrt{3} {\left(x^{3} - 3 \, x^{2} + x + 2\right)} {\left(3 \, \sqrt{5} - 5\right)}^{\frac{1}{3}} \sqrt{-\frac{5 \cdot 50^{\frac{1}{3}} {\left(x^{8} - 7 \, x^{7} + 16 \, x^{6} - 7 \, x^{5} - 20 \, x^{4} + 17 \, x^{3} + 11 \, x^{2} - 8 \, x - 4\right)}^{\frac{1}{3}} {\left(3 \, x^{3} - 9 \, x^{2} + \sqrt{5} {\left(x^{3} - 3 \, x^{2} + x + 2\right)} + 3 \, x + 6\right)} {\left(3 \, \sqrt{5} - 5\right)}^{\frac{2}{3}} - 50^{\frac{2}{3}} {\left(5 \, x^{6} - 30 \, x^{5} + 55 \, x^{4} - 10 \, x^{3} - 55 \, x^{2} + 3 \, \sqrt{5} {\left(x^{6} - 6 \, x^{5} + 11 \, x^{4} - 2 \, x^{3} - 11 \, x^{2} + 4 \, x + 4\right)} + 20 \, x + 20\right)} {\left(3 \, \sqrt{5} - 5\right)}^{\frac{1}{3}} - 100 \, {\left(x^{8} - 7 \, x^{7} + 16 \, x^{6} - 7 \, x^{5} - 20 \, x^{4} + 17 \, x^{3} + 11 \, x^{2} - 8 \, x - 4\right)}^{\frac{2}{3}}}{x^{6} - 6 \, x^{5} + 11 \, x^{4} - 2 \, x^{3} - 11 \, x^{2} + 4 \, x + 4}} - 10 \cdot 50^{\frac{2}{3}} \sqrt{5} \sqrt{3} {\left(x^{8} - 7 \, x^{7} + 16 \, x^{6} - 7 \, x^{5} - 20 \, x^{4} + 17 \, x^{3} + 11 \, x^{2} - 8 \, x - 4\right)}^{\frac{1}{3}} {\left(3 \, \sqrt{5} - 5\right)}^{\frac{1}{3}} + 250 \, \sqrt{3} {\left(x^{3} - 3 \, x^{2} + x + 2\right)}}{750 \, {\left(x^{3} - 3 \, x^{2} + x + 2\right)}}\right) - 12 \cdot 50^{\frac{2}{3}} \sqrt{3} {\left(x^{6} - 4 \, x^{5} + 3 \, x^{4} + 4 \, x^{3} - 3 \, x^{2} - 2 \, x\right)} {\left(-3 \, \sqrt{5} - 5\right)}^{\frac{1}{3}} \arctan\left(\frac{50^{\frac{2}{3}} \sqrt{5} \sqrt{3} {\left(x^{3} - 3 \, x^{2} + x + 2\right)} {\left(-3 \, \sqrt{5} - 5\right)}^{\frac{1}{3}} \sqrt{-\frac{5 \cdot 50^{\frac{1}{3}} {\left(x^{8} - 7 \, x^{7} + 16 \, x^{6} - 7 \, x^{5} - 20 \, x^{4} + 17 \, x^{3} + 11 \, x^{2} - 8 \, x - 4\right)}^{\frac{1}{3}} {\left(3 \, x^{3} - 9 \, x^{2} - \sqrt{5} {\left(x^{3} - 3 \, x^{2} + x + 2\right)} + 3 \, x + 6\right)} {\left(-3 \, \sqrt{5} - 5\right)}^{\frac{2}{3}} - 50^{\frac{2}{3}} {\left(5 \, x^{6} - 30 \, x^{5} + 55 \, x^{4} - 10 \, x^{3} - 55 \, x^{2} - 3 \, \sqrt{5} {\left(x^{6} - 6 \, x^{5} + 11 \, x^{4} - 2 \, x^{3} - 11 \, x^{2} + 4 \, x + 4\right)} + 20 \, x + 20\right)} {\left(-3 \, \sqrt{5} - 5\right)}^{\frac{1}{3}} - 100 \, {\left(x^{8} - 7 \, x^{7} + 16 \, x^{6} - 7 \, x^{5} - 20 \, x^{4} + 17 \, x^{3} + 11 \, x^{2} - 8 \, x - 4\right)}^{\frac{2}{3}}}{x^{6} - 6 \, x^{5} + 11 \, x^{4} - 2 \, x^{3} - 11 \, x^{2} + 4 \, x + 4}} - 10 \cdot 50^{\frac{2}{3}} \sqrt{5} \sqrt{3} {\left(x^{8} - 7 \, x^{7} + 16 \, x^{6} - 7 \, x^{5} - 20 \, x^{4} + 17 \, x^{3} + 11 \, x^{2} - 8 \, x - 4\right)}^{\frac{1}{3}} {\left(-3 \, \sqrt{5} - 5\right)}^{\frac{1}{3}} - 250 \, \sqrt{3} {\left(x^{3} - 3 \, x^{2} + x + 2\right)}}{750 \, {\left(x^{3} - 3 \, x^{2} + x + 2\right)}}\right) - 3 \cdot 50^{\frac{2}{3}} {\left(x^{6} - 4 \, x^{5} + 3 \, x^{4} + 4 \, x^{3} - 3 \, x^{2} - 2 \, x\right)} {\left(3 \, \sqrt{5} - 5\right)}^{\frac{1}{3}} \log\left(-\frac{16 \, {\left(5 \cdot 50^{\frac{1}{3}} {\left(x^{8} - 7 \, x^{7} + 16 \, x^{6} - 7 \, x^{5} - 20 \, x^{4} + 17 \, x^{3} + 11 \, x^{2} - 8 \, x - 4\right)}^{\frac{1}{3}} {\left(3 \, x^{3} - 9 \, x^{2} + \sqrt{5} {\left(x^{3} - 3 \, x^{2} + x + 2\right)} + 3 \, x + 6\right)} {\left(3 \, \sqrt{5} - 5\right)}^{\frac{2}{3}} - 50^{\frac{2}{3}} {\left(5 \, x^{6} - 30 \, x^{5} + 55 \, x^{4} - 10 \, x^{3} - 55 \, x^{2} + 3 \, \sqrt{5} {\left(x^{6} - 6 \, x^{5} + 11 \, x^{4} - 2 \, x^{3} - 11 \, x^{2} + 4 \, x + 4\right)} + 20 \, x + 20\right)} {\left(3 \, \sqrt{5} - 5\right)}^{\frac{1}{3}} - 100 \, {\left(x^{8} - 7 \, x^{7} + 16 \, x^{6} - 7 \, x^{5} - 20 \, x^{4} + 17 \, x^{3} + 11 \, x^{2} - 8 \, x - 4\right)}^{\frac{2}{3}}\right)}}{x^{6} - 6 \, x^{5} + 11 \, x^{4} - 2 \, x^{3} - 11 \, x^{2} + 4 \, x + 4}\right) - 3 \cdot 50^{\frac{2}{3}} {\left(x^{6} - 4 \, x^{5} + 3 \, x^{4} + 4 \, x^{3} - 3 \, x^{2} - 2 \, x\right)} {\left(-3 \, \sqrt{5} - 5\right)}^{\frac{1}{3}} \log\left(-\frac{16 \, {\left(5 \cdot 50^{\frac{1}{3}} {\left(x^{8} - 7 \, x^{7} + 16 \, x^{6} - 7 \, x^{5} - 20 \, x^{4} + 17 \, x^{3} + 11 \, x^{2} - 8 \, x - 4\right)}^{\frac{1}{3}} {\left(3 \, x^{3} - 9 \, x^{2} - \sqrt{5} {\left(x^{3} - 3 \, x^{2} + x + 2\right)} + 3 \, x + 6\right)} {\left(-3 \, \sqrt{5} - 5\right)}^{\frac{2}{3}} - 50^{\frac{2}{3}} {\left(5 \, x^{6} - 30 \, x^{5} + 55 \, x^{4} - 10 \, x^{3} - 55 \, x^{2} - 3 \, \sqrt{5} {\left(x^{6} - 6 \, x^{5} + 11 \, x^{4} - 2 \, x^{3} - 11 \, x^{2} + 4 \, x + 4\right)} + 20 \, x + 20\right)} {\left(-3 \, \sqrt{5} - 5\right)}^{\frac{1}{3}} - 100 \, {\left(x^{8} - 7 \, x^{7} + 16 \, x^{6} - 7 \, x^{5} - 20 \, x^{4} + 17 \, x^{3} + 11 \, x^{2} - 8 \, x - 4\right)}^{\frac{2}{3}}\right)}}{x^{6} - 6 \, x^{5} + 11 \, x^{4} - 2 \, x^{3} - 11 \, x^{2} + 4 \, x + 4}\right) + 6 \cdot 50^{\frac{2}{3}} {\left(x^{6} - 4 \, x^{5} + 3 \, x^{4} + 4 \, x^{3} - 3 \, x^{2} - 2 \, x\right)} {\left(3 \, \sqrt{5} - 5\right)}^{\frac{1}{3}} \log\left(\frac{50^{\frac{1}{3}} {\left(3 \, x^{3} - 9 \, x^{2} + \sqrt{5} {\left(x^{3} - 3 \, x^{2} + x + 2\right)} + 3 \, x + 6\right)} {\left(3 \, \sqrt{5} - 5\right)}^{\frac{2}{3}} + 20 \, {\left(x^{8} - 7 \, x^{7} + 16 \, x^{6} - 7 \, x^{5} - 20 \, x^{4} + 17 \, x^{3} + 11 \, x^{2} - 8 \, x - 4\right)}^{\frac{1}{3}}}{x^{3} - 3 \, x^{2} + x + 2}\right) + 6 \cdot 50^{\frac{2}{3}} {\left(x^{6} - 4 \, x^{5} + 3 \, x^{4} + 4 \, x^{3} - 3 \, x^{2} - 2 \, x\right)} {\left(-3 \, \sqrt{5} - 5\right)}^{\frac{1}{3}} \log\left(\frac{50^{\frac{1}{3}} {\left(3 \, x^{3} - 9 \, x^{2} - \sqrt{5} {\left(x^{3} - 3 \, x^{2} + x + 2\right)} + 3 \, x + 6\right)} {\left(-3 \, \sqrt{5} - 5\right)}^{\frac{2}{3}} + 20 \, {\left(x^{8} - 7 \, x^{7} + 16 \, x^{6} - 7 \, x^{5} - 20 \, x^{4} + 17 \, x^{3} + 11 \, x^{2} - 8 \, x - 4\right)}^{\frac{1}{3}}}{x^{3} - 3 \, x^{2} + x + 2}\right) - 100 \, \sqrt{3} 2^{\frac{1}{3}} {\left(x^{6} - 4 \, x^{5} + 3 \, x^{4} + 4 \, x^{3} - 3 \, x^{2} - 2 \, x\right)} \arctan\left(-\frac{\sqrt{3} {\left(x^{3} - 3 \, x^{2} + x + 2\right)} - 2 \, \sqrt{3} 2^{\frac{1}{3}} {\left(x^{8} - 7 \, x^{7} + 16 \, x^{6} - 7 \, x^{5} - 20 \, x^{4} + 17 \, x^{3} + 11 \, x^{2} - 8 \, x - 4\right)}^{\frac{1}{3}}}{3 \, {\left(x^{3} - 3 \, x^{2} + x + 2\right)}}\right) - 50 \cdot 2^{\frac{1}{3}} {\left(x^{6} - 4 \, x^{5} + 3 \, x^{4} + 4 \, x^{3} - 3 \, x^{2} - 2 \, x\right)} \log\left(-\frac{2^{\frac{2}{3}} {\left(x^{8} - 7 \, x^{7} + 16 \, x^{6} - 7 \, x^{5} - 20 \, x^{4} + 17 \, x^{3} + 11 \, x^{2} - 8 \, x - 4\right)}^{\frac{1}{3}} {\left(x^{3} - 3 \, x^{2} + x + 2\right)} - 2^{\frac{1}{3}} {\left(x^{6} - 6 \, x^{5} + 11 \, x^{4} - 2 \, x^{3} - 11 \, x^{2} + 4 \, x + 4\right)} - 2 \, {\left(x^{8} - 7 \, x^{7} + 16 \, x^{6} - 7 \, x^{5} - 20 \, x^{4} + 17 \, x^{3} + 11 \, x^{2} - 8 \, x - 4\right)}^{\frac{2}{3}}}{x^{6} - 6 \, x^{5} + 11 \, x^{4} - 2 \, x^{3} - 11 \, x^{2} + 4 \, x + 4}\right) + 100 \cdot 2^{\frac{1}{3}} {\left(x^{6} - 4 \, x^{5} + 3 \, x^{4} + 4 \, x^{3} - 3 \, x^{2} - 2 \, x\right)} \log\left(\frac{2^{\frac{2}{3}} {\left(x^{3} - 3 \, x^{2} + x + 2\right)} + 2 \, {\left(x^{8} - 7 \, x^{7} + 16 \, x^{6} - 7 \, x^{5} - 20 \, x^{4} + 17 \, x^{3} + 11 \, x^{2} - 8 \, x - 4\right)}^{\frac{1}{3}}}{x^{3} - 3 \, x^{2} + x + 2}\right) - 150 \, {\left(x^{8} - 7 \, x^{7} + 16 \, x^{6} - 7 \, x^{5} - 20 \, x^{4} + 17 \, x^{3} + 11 \, x^{2} - 8 \, x - 4\right)}^{\frac{2}{3}}}{300 \, {\left(x^{6} - 4 \, x^{5} + 3 \, x^{4} + 4 \, x^{3} - 3 \, x^{2} - 2 \, x\right)}}"," ",0,"1/300*(12*50^(2/3)*sqrt(3)*(x^6 - 4*x^5 + 3*x^4 + 4*x^3 - 3*x^2 - 2*x)*(3*sqrt(5) - 5)^(1/3)*arctan(1/750*(50^(2/3)*sqrt(5)*sqrt(3)*(x^3 - 3*x^2 + x + 2)*(3*sqrt(5) - 5)^(1/3)*sqrt(-(5*50^(1/3)*(x^8 - 7*x^7 + 16*x^6 - 7*x^5 - 20*x^4 + 17*x^3 + 11*x^2 - 8*x - 4)^(1/3)*(3*x^3 - 9*x^2 + sqrt(5)*(x^3 - 3*x^2 + x + 2) + 3*x + 6)*(3*sqrt(5) - 5)^(2/3) - 50^(2/3)*(5*x^6 - 30*x^5 + 55*x^4 - 10*x^3 - 55*x^2 + 3*sqrt(5)*(x^6 - 6*x^5 + 11*x^4 - 2*x^3 - 11*x^2 + 4*x + 4) + 20*x + 20)*(3*sqrt(5) - 5)^(1/3) - 100*(x^8 - 7*x^7 + 16*x^6 - 7*x^5 - 20*x^4 + 17*x^3 + 11*x^2 - 8*x - 4)^(2/3))/(x^6 - 6*x^5 + 11*x^4 - 2*x^3 - 11*x^2 + 4*x + 4)) - 10*50^(2/3)*sqrt(5)*sqrt(3)*(x^8 - 7*x^7 + 16*x^6 - 7*x^5 - 20*x^4 + 17*x^3 + 11*x^2 - 8*x - 4)^(1/3)*(3*sqrt(5) - 5)^(1/3) + 250*sqrt(3)*(x^3 - 3*x^2 + x + 2))/(x^3 - 3*x^2 + x + 2)) - 12*50^(2/3)*sqrt(3)*(x^6 - 4*x^5 + 3*x^4 + 4*x^3 - 3*x^2 - 2*x)*(-3*sqrt(5) - 5)^(1/3)*arctan(1/750*(50^(2/3)*sqrt(5)*sqrt(3)*(x^3 - 3*x^2 + x + 2)*(-3*sqrt(5) - 5)^(1/3)*sqrt(-(5*50^(1/3)*(x^8 - 7*x^7 + 16*x^6 - 7*x^5 - 20*x^4 + 17*x^3 + 11*x^2 - 8*x - 4)^(1/3)*(3*x^3 - 9*x^2 - sqrt(5)*(x^3 - 3*x^2 + x + 2) + 3*x + 6)*(-3*sqrt(5) - 5)^(2/3) - 50^(2/3)*(5*x^6 - 30*x^5 + 55*x^4 - 10*x^3 - 55*x^2 - 3*sqrt(5)*(x^6 - 6*x^5 + 11*x^4 - 2*x^3 - 11*x^2 + 4*x + 4) + 20*x + 20)*(-3*sqrt(5) - 5)^(1/3) - 100*(x^8 - 7*x^7 + 16*x^6 - 7*x^5 - 20*x^4 + 17*x^3 + 11*x^2 - 8*x - 4)^(2/3))/(x^6 - 6*x^5 + 11*x^4 - 2*x^3 - 11*x^2 + 4*x + 4)) - 10*50^(2/3)*sqrt(5)*sqrt(3)*(x^8 - 7*x^7 + 16*x^6 - 7*x^5 - 20*x^4 + 17*x^3 + 11*x^2 - 8*x - 4)^(1/3)*(-3*sqrt(5) - 5)^(1/3) - 250*sqrt(3)*(x^3 - 3*x^2 + x + 2))/(x^3 - 3*x^2 + x + 2)) - 3*50^(2/3)*(x^6 - 4*x^5 + 3*x^4 + 4*x^3 - 3*x^2 - 2*x)*(3*sqrt(5) - 5)^(1/3)*log(-16*(5*50^(1/3)*(x^8 - 7*x^7 + 16*x^6 - 7*x^5 - 20*x^4 + 17*x^3 + 11*x^2 - 8*x - 4)^(1/3)*(3*x^3 - 9*x^2 + sqrt(5)*(x^3 - 3*x^2 + x + 2) + 3*x + 6)*(3*sqrt(5) - 5)^(2/3) - 50^(2/3)*(5*x^6 - 30*x^5 + 55*x^4 - 10*x^3 - 55*x^2 + 3*sqrt(5)*(x^6 - 6*x^5 + 11*x^4 - 2*x^3 - 11*x^2 + 4*x + 4) + 20*x + 20)*(3*sqrt(5) - 5)^(1/3) - 100*(x^8 - 7*x^7 + 16*x^6 - 7*x^5 - 20*x^4 + 17*x^3 + 11*x^2 - 8*x - 4)^(2/3))/(x^6 - 6*x^5 + 11*x^4 - 2*x^3 - 11*x^2 + 4*x + 4)) - 3*50^(2/3)*(x^6 - 4*x^5 + 3*x^4 + 4*x^3 - 3*x^2 - 2*x)*(-3*sqrt(5) - 5)^(1/3)*log(-16*(5*50^(1/3)*(x^8 - 7*x^7 + 16*x^6 - 7*x^5 - 20*x^4 + 17*x^3 + 11*x^2 - 8*x - 4)^(1/3)*(3*x^3 - 9*x^2 - sqrt(5)*(x^3 - 3*x^2 + x + 2) + 3*x + 6)*(-3*sqrt(5) - 5)^(2/3) - 50^(2/3)*(5*x^6 - 30*x^5 + 55*x^4 - 10*x^3 - 55*x^2 - 3*sqrt(5)*(x^6 - 6*x^5 + 11*x^4 - 2*x^3 - 11*x^2 + 4*x + 4) + 20*x + 20)*(-3*sqrt(5) - 5)^(1/3) - 100*(x^8 - 7*x^7 + 16*x^6 - 7*x^5 - 20*x^4 + 17*x^3 + 11*x^2 - 8*x - 4)^(2/3))/(x^6 - 6*x^5 + 11*x^4 - 2*x^3 - 11*x^2 + 4*x + 4)) + 6*50^(2/3)*(x^6 - 4*x^5 + 3*x^4 + 4*x^3 - 3*x^2 - 2*x)*(3*sqrt(5) - 5)^(1/3)*log((50^(1/3)*(3*x^3 - 9*x^2 + sqrt(5)*(x^3 - 3*x^2 + x + 2) + 3*x + 6)*(3*sqrt(5) - 5)^(2/3) + 20*(x^8 - 7*x^7 + 16*x^6 - 7*x^5 - 20*x^4 + 17*x^3 + 11*x^2 - 8*x - 4)^(1/3))/(x^3 - 3*x^2 + x + 2)) + 6*50^(2/3)*(x^6 - 4*x^5 + 3*x^4 + 4*x^3 - 3*x^2 - 2*x)*(-3*sqrt(5) - 5)^(1/3)*log((50^(1/3)*(3*x^3 - 9*x^2 - sqrt(5)*(x^3 - 3*x^2 + x + 2) + 3*x + 6)*(-3*sqrt(5) - 5)^(2/3) + 20*(x^8 - 7*x^7 + 16*x^6 - 7*x^5 - 20*x^4 + 17*x^3 + 11*x^2 - 8*x - 4)^(1/3))/(x^3 - 3*x^2 + x + 2)) - 100*sqrt(3)*2^(1/3)*(x^6 - 4*x^5 + 3*x^4 + 4*x^3 - 3*x^2 - 2*x)*arctan(-1/3*(sqrt(3)*(x^3 - 3*x^2 + x + 2) - 2*sqrt(3)*2^(1/3)*(x^8 - 7*x^7 + 16*x^6 - 7*x^5 - 20*x^4 + 17*x^3 + 11*x^2 - 8*x - 4)^(1/3))/(x^3 - 3*x^2 + x + 2)) - 50*2^(1/3)*(x^6 - 4*x^5 + 3*x^4 + 4*x^3 - 3*x^2 - 2*x)*log(-(2^(2/3)*(x^8 - 7*x^7 + 16*x^6 - 7*x^5 - 20*x^4 + 17*x^3 + 11*x^2 - 8*x - 4)^(1/3)*(x^3 - 3*x^2 + x + 2) - 2^(1/3)*(x^6 - 6*x^5 + 11*x^4 - 2*x^3 - 11*x^2 + 4*x + 4) - 2*(x^8 - 7*x^7 + 16*x^6 - 7*x^5 - 20*x^4 + 17*x^3 + 11*x^2 - 8*x - 4)^(2/3))/(x^6 - 6*x^5 + 11*x^4 - 2*x^3 - 11*x^2 + 4*x + 4)) + 100*2^(1/3)*(x^6 - 4*x^5 + 3*x^4 + 4*x^3 - 3*x^2 - 2*x)*log((2^(2/3)*(x^3 - 3*x^2 + x + 2) + 2*(x^8 - 7*x^7 + 16*x^6 - 7*x^5 - 20*x^4 + 17*x^3 + 11*x^2 - 8*x - 4)^(1/3))/(x^3 - 3*x^2 + x + 2)) - 150*(x^8 - 7*x^7 + 16*x^6 - 7*x^5 - 20*x^4 + 17*x^3 + 11*x^2 - 8*x - 4)^(2/3))/(x^6 - 4*x^5 + 3*x^4 + 4*x^3 - 3*x^2 - 2*x)","B",0
2423,1,159,0,0.780193," ","integrate((a^8*x^8+b^8)/(a^4*x^4+b^4)^(1/2)/(a^8*x^8-b^8),x, algorithm=""fricas"")","-\frac{8 \, \sqrt{a^{4} x^{4} + b^{4}} a b x + 2 \, \sqrt{2} {\left(a^{4} x^{4} + b^{4}\right)} \arctan\left(\frac{\sqrt{2} a b x}{\sqrt{a^{4} x^{4} + b^{4}}}\right) - \sqrt{2} {\left(a^{4} x^{4} + b^{4}\right)} \log\left(\frac{a^{4} x^{4} + 2 \, a^{2} b^{2} x^{2} + b^{4} - 2 \, \sqrt{2} \sqrt{a^{4} x^{4} + b^{4}} a b x}{a^{4} x^{4} - 2 \, a^{2} b^{2} x^{2} + b^{4}}\right)}{16 \, {\left(a^{5} b x^{4} + a b^{5}\right)}}"," ",0,"-1/16*(8*sqrt(a^4*x^4 + b^4)*a*b*x + 2*sqrt(2)*(a^4*x^4 + b^4)*arctan(sqrt(2)*a*b*x/sqrt(a^4*x^4 + b^4)) - sqrt(2)*(a^4*x^4 + b^4)*log((a^4*x^4 + 2*a^2*b^2*x^2 + b^4 - 2*sqrt(2)*sqrt(a^4*x^4 + b^4)*a*b*x)/(a^4*x^4 - 2*a^2*b^2*x^2 + b^4)))/(a^5*b*x^4 + a*b^5)","A",0
2424,1,422,0,11.661056," ","integrate((x+(1+x)^(1/2))^(1/2)/(x-(1+x)^(1/2)),x, algorithm=""fricas"")","-\frac{4}{5} \, \sqrt{5} \sqrt{2} \sqrt{\sqrt{5} - 2} \arctan\left(\frac{\sqrt{5} \sqrt{2} {\left(11 \, x^{2} + \sqrt{5} {\left(5 \, x^{2} - 29 \, x - 33\right)} - 4 \, {\left(\sqrt{5} {\left(13 \, x + 11\right)} + 29 \, x + 33\right)} \sqrt{x + 1} - 43 \, x - 55\right)} \sqrt{\sqrt{5} - 1} \sqrt{\sqrt{5} - 2} - 4 \, \sqrt{2} {\left(\sqrt{5} {\left(34 \, x + 33\right)} - {\left(\sqrt{5} {\left(3 \, x + 11\right)} + 7 \, x - 11\right)} \sqrt{x + 1} + 76 \, x + 77\right)} \sqrt{x + \sqrt{x + 1}} \sqrt{\sqrt{5} - 2}}{4 \, {\left(x^{2} - 121 \, x - 121\right)}}\right) - \frac{1}{5} \, \sqrt{5} \sqrt{2} \sqrt{\sqrt{5} + 2} \log\left(\frac{4 \, {\left(\sqrt{2} {\left(3 \, x^{2} + \sqrt{5} {\left(x^{2} + 3 \, x - 1\right)} + 4 \, {\left(2 \, x + \sqrt{5} - 1\right)} \sqrt{x + 1} + x + 5\right)} \sqrt{\sqrt{5} + 2} + 4 \, {\left({\left(\sqrt{5} x + x + 2\right)} \sqrt{x + 1} + \sqrt{5} {\left(x + 1\right)} + 3 \, x + 1\right)} \sqrt{x + \sqrt{x + 1}}\right)}}{x^{2} - x - 1}\right) + \frac{1}{5} \, \sqrt{5} \sqrt{2} \sqrt{\sqrt{5} + 2} \log\left(-\frac{4 \, {\left(\sqrt{2} {\left(3 \, x^{2} + \sqrt{5} {\left(x^{2} + 3 \, x - 1\right)} + 4 \, {\left(2 \, x + \sqrt{5} - 1\right)} \sqrt{x + 1} + x + 5\right)} \sqrt{\sqrt{5} + 2} - 4 \, {\left({\left(\sqrt{5} x + x + 2\right)} \sqrt{x + 1} + \sqrt{5} {\left(x + 1\right)} + 3 \, x + 1\right)} \sqrt{x + \sqrt{x + 1}}\right)}}{x^{2} - x - 1}\right) + 2 \, \sqrt{x + \sqrt{x + 1}} + \frac{3}{2} \, \log\left(4 \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} + 1\right)} + 8 \, x + 8 \, \sqrt{x + 1} + 5\right)"," ",0,"-4/5*sqrt(5)*sqrt(2)*sqrt(sqrt(5) - 2)*arctan(1/4*(sqrt(5)*sqrt(2)*(11*x^2 + sqrt(5)*(5*x^2 - 29*x - 33) - 4*(sqrt(5)*(13*x + 11) + 29*x + 33)*sqrt(x + 1) - 43*x - 55)*sqrt(sqrt(5) - 1)*sqrt(sqrt(5) - 2) - 4*sqrt(2)*(sqrt(5)*(34*x + 33) - (sqrt(5)*(3*x + 11) + 7*x - 11)*sqrt(x + 1) + 76*x + 77)*sqrt(x + sqrt(x + 1))*sqrt(sqrt(5) - 2))/(x^2 - 121*x - 121)) - 1/5*sqrt(5)*sqrt(2)*sqrt(sqrt(5) + 2)*log(4*(sqrt(2)*(3*x^2 + sqrt(5)*(x^2 + 3*x - 1) + 4*(2*x + sqrt(5) - 1)*sqrt(x + 1) + x + 5)*sqrt(sqrt(5) + 2) + 4*((sqrt(5)*x + x + 2)*sqrt(x + 1) + sqrt(5)*(x + 1) + 3*x + 1)*sqrt(x + sqrt(x + 1)))/(x^2 - x - 1)) + 1/5*sqrt(5)*sqrt(2)*sqrt(sqrt(5) + 2)*log(-4*(sqrt(2)*(3*x^2 + sqrt(5)*(x^2 + 3*x - 1) + 4*(2*x + sqrt(5) - 1)*sqrt(x + 1) + x + 5)*sqrt(sqrt(5) + 2) - 4*((sqrt(5)*x + x + 2)*sqrt(x + 1) + sqrt(5)*(x + 1) + 3*x + 1)*sqrt(x + sqrt(x + 1)))/(x^2 - x - 1)) + 2*sqrt(x + sqrt(x + 1)) + 3/2*log(4*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) + 1) + 8*x + 8*sqrt(x + 1) + 5)","B",0
2425,1,422,0,11.671087," ","integrate((x+(1+x)^(1/2))^(1/2)/(x-(1+x)^(1/2)),x, algorithm=""fricas"")","-\frac{4}{5} \, \sqrt{5} \sqrt{2} \sqrt{\sqrt{5} - 2} \arctan\left(\frac{\sqrt{5} \sqrt{2} {\left(11 \, x^{2} + \sqrt{5} {\left(5 \, x^{2} - 29 \, x - 33\right)} - 4 \, {\left(\sqrt{5} {\left(13 \, x + 11\right)} + 29 \, x + 33\right)} \sqrt{x + 1} - 43 \, x - 55\right)} \sqrt{\sqrt{5} - 1} \sqrt{\sqrt{5} - 2} - 4 \, \sqrt{2} {\left(\sqrt{5} {\left(34 \, x + 33\right)} - {\left(\sqrt{5} {\left(3 \, x + 11\right)} + 7 \, x - 11\right)} \sqrt{x + 1} + 76 \, x + 77\right)} \sqrt{x + \sqrt{x + 1}} \sqrt{\sqrt{5} - 2}}{4 \, {\left(x^{2} - 121 \, x - 121\right)}}\right) - \frac{1}{5} \, \sqrt{5} \sqrt{2} \sqrt{\sqrt{5} + 2} \log\left(\frac{4 \, {\left(\sqrt{2} {\left(3 \, x^{2} + \sqrt{5} {\left(x^{2} + 3 \, x - 1\right)} + 4 \, {\left(2 \, x + \sqrt{5} - 1\right)} \sqrt{x + 1} + x + 5\right)} \sqrt{\sqrt{5} + 2} + 4 \, {\left({\left(\sqrt{5} x + x + 2\right)} \sqrt{x + 1} + \sqrt{5} {\left(x + 1\right)} + 3 \, x + 1\right)} \sqrt{x + \sqrt{x + 1}}\right)}}{x^{2} - x - 1}\right) + \frac{1}{5} \, \sqrt{5} \sqrt{2} \sqrt{\sqrt{5} + 2} \log\left(-\frac{4 \, {\left(\sqrt{2} {\left(3 \, x^{2} + \sqrt{5} {\left(x^{2} + 3 \, x - 1\right)} + 4 \, {\left(2 \, x + \sqrt{5} - 1\right)} \sqrt{x + 1} + x + 5\right)} \sqrt{\sqrt{5} + 2} - 4 \, {\left({\left(\sqrt{5} x + x + 2\right)} \sqrt{x + 1} + \sqrt{5} {\left(x + 1\right)} + 3 \, x + 1\right)} \sqrt{x + \sqrt{x + 1}}\right)}}{x^{2} - x - 1}\right) + 2 \, \sqrt{x + \sqrt{x + 1}} + \frac{3}{2} \, \log\left(4 \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} + 1\right)} + 8 \, x + 8 \, \sqrt{x + 1} + 5\right)"," ",0,"-4/5*sqrt(5)*sqrt(2)*sqrt(sqrt(5) - 2)*arctan(1/4*(sqrt(5)*sqrt(2)*(11*x^2 + sqrt(5)*(5*x^2 - 29*x - 33) - 4*(sqrt(5)*(13*x + 11) + 29*x + 33)*sqrt(x + 1) - 43*x - 55)*sqrt(sqrt(5) - 1)*sqrt(sqrt(5) - 2) - 4*sqrt(2)*(sqrt(5)*(34*x + 33) - (sqrt(5)*(3*x + 11) + 7*x - 11)*sqrt(x + 1) + 76*x + 77)*sqrt(x + sqrt(x + 1))*sqrt(sqrt(5) - 2))/(x^2 - 121*x - 121)) - 1/5*sqrt(5)*sqrt(2)*sqrt(sqrt(5) + 2)*log(4*(sqrt(2)*(3*x^2 + sqrt(5)*(x^2 + 3*x - 1) + 4*(2*x + sqrt(5) - 1)*sqrt(x + 1) + x + 5)*sqrt(sqrt(5) + 2) + 4*((sqrt(5)*x + x + 2)*sqrt(x + 1) + sqrt(5)*(x + 1) + 3*x + 1)*sqrt(x + sqrt(x + 1)))/(x^2 - x - 1)) + 1/5*sqrt(5)*sqrt(2)*sqrt(sqrt(5) + 2)*log(-4*(sqrt(2)*(3*x^2 + sqrt(5)*(x^2 + 3*x - 1) + 4*(2*x + sqrt(5) - 1)*sqrt(x + 1) + x + 5)*sqrt(sqrt(5) + 2) - 4*((sqrt(5)*x + x + 2)*sqrt(x + 1) + sqrt(5)*(x + 1) + 3*x + 1)*sqrt(x + sqrt(x + 1)))/(x^2 - x - 1)) + 2*sqrt(x + sqrt(x + 1)) + 3/2*log(4*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) + 1) + 8*x + 8*sqrt(x + 1) + 5)","B",0
2426,-2,0,0,0.000000," ","integrate((c*x^2+d)*(a*x+(a^2*x^2+b^2)^(1/2))^(1/2)/(c*x^2-d),x, algorithm=""fricas"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> the translation of the FriCAS object sage2 to sage is not yet implemented","F(-2)",0
2427,-2,0,0,0.000000," ","integrate((c*x^2+d)*(a*x+(a^2*x^2+b^2)^(1/2))^(1/2)/(c*x^2-d),x, algorithm=""fricas"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> the translation of the FriCAS object sage2 to sage is not yet implemented","F(-2)",0
2428,1,295,0,26.488483," ","integrate((-a/b^2+a^2*x^2/b^2)^(1/2)/x/(a*x^2+b*x*(-a/b^2+a^2*x^2/b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{2} \sqrt{a} x \log\left(-4 \, a^{2} x^{2} - 4 \, a b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}} - 2 \, {\left(\sqrt{2} a^{\frac{3}{2}} x + \sqrt{2} \sqrt{a} b \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}}\right)} \sqrt{a x^{2} + b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}}} + a\right) - 4 \, \sqrt{a x^{2} + b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}}} {\left(a x^{2} - b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}} + 2\right)}}{4 \, b x}, -\frac{\sqrt{2} \sqrt{-a} x \arctan\left(\frac{\sqrt{2} \sqrt{a x^{2} + b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}}} \sqrt{-a}}{2 \, a x}\right) + 2 \, \sqrt{a x^{2} + b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}}} {\left(a x^{2} - b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}} + 2\right)}}{2 \, b x}\right]"," ",0,"[1/4*(sqrt(2)*sqrt(a)*x*log(-4*a^2*x^2 - 4*a*b*x*sqrt((a^2*x^2 - a)/b^2) - 2*(sqrt(2)*a^(3/2)*x + sqrt(2)*sqrt(a)*b*sqrt((a^2*x^2 - a)/b^2))*sqrt(a*x^2 + b*x*sqrt((a^2*x^2 - a)/b^2)) + a) - 4*sqrt(a*x^2 + b*x*sqrt((a^2*x^2 - a)/b^2))*(a*x^2 - b*x*sqrt((a^2*x^2 - a)/b^2) + 2))/(b*x), -1/2*(sqrt(2)*sqrt(-a)*x*arctan(1/2*sqrt(2)*sqrt(a*x^2 + b*x*sqrt((a^2*x^2 - a)/b^2))*sqrt(-a)/(a*x)) + 2*sqrt(a*x^2 + b*x*sqrt((a^2*x^2 - a)/b^2))*(a*x^2 - b*x*sqrt((a^2*x^2 - a)/b^2) + 2))/(b*x)]","A",0
2429,-1,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(1+(1+x)^(1/2))^(1/2)/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2430,-1,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(1+(1+x)^(1/2))^(1/2)/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2431,1,98,0,0.482698," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{1}{60} \, {\left({\left(15 \, x - 15 \, \sqrt{x^{2} + 1} + 8\right)} \sqrt{x + \sqrt{x^{2} + 1}} + 54 \, x - 6 \, \sqrt{x^{2} + 1} - 16\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \frac{1}{8} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) - \frac{1}{8} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right)"," ",0,"1/60*((15*x - 15*sqrt(x^2 + 1) + 8)*sqrt(x + sqrt(x^2 + 1)) + 54*x - 6*sqrt(x^2 + 1) - 16)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1/8*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) - 1/8*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1)","A",0
2432,-2,0,0,0.000000," ","integrate((2+3*x)/(3*x^2+4)^(1/3)/(9*x^2+52*x-12),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
2433,1,425,0,0.533849," ","integrate((a*x^2+b*x+c)^(5/2),x, algorithm=""fricas"")","\left[-\frac{15 \, {\left(b^{6} - 12 \, a b^{4} c + 48 \, a^{2} b^{2} c^{2} - 64 \, a^{3} c^{3}\right)} \sqrt{a} \log\left(-8 \, a^{2} x^{2} - 8 \, a b x - 4 \, \sqrt{a x^{2} + b x + c} {\left(2 \, a x + b\right)} \sqrt{a} - b^{2} - 4 \, a c\right) - 4 \, {\left(256 \, a^{6} x^{5} + 640 \, a^{5} b x^{4} + 15 \, a b^{5} - 160 \, a^{2} b^{3} c + 528 \, a^{3} b c^{2} + 16 \, {\left(27 \, a^{4} b^{2} + 52 \, a^{5} c\right)} x^{3} + 8 \, {\left(a^{3} b^{3} + 156 \, a^{4} b c\right)} x^{2} - 2 \, {\left(5 \, a^{2} b^{4} - 48 \, a^{3} b^{2} c - 528 \, a^{4} c^{2}\right)} x\right)} \sqrt{a x^{2} + b x + c}}{6144 \, a^{4}}, \frac{15 \, {\left(b^{6} - 12 \, a b^{4} c + 48 \, a^{2} b^{2} c^{2} - 64 \, a^{3} c^{3}\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{a x^{2} + b x + c} {\left(2 \, a x + b\right)} \sqrt{-a}}{2 \, {\left(a^{2} x^{2} + a b x + a c\right)}}\right) + 2 \, {\left(256 \, a^{6} x^{5} + 640 \, a^{5} b x^{4} + 15 \, a b^{5} - 160 \, a^{2} b^{3} c + 528 \, a^{3} b c^{2} + 16 \, {\left(27 \, a^{4} b^{2} + 52 \, a^{5} c\right)} x^{3} + 8 \, {\left(a^{3} b^{3} + 156 \, a^{4} b c\right)} x^{2} - 2 \, {\left(5 \, a^{2} b^{4} - 48 \, a^{3} b^{2} c - 528 \, a^{4} c^{2}\right)} x\right)} \sqrt{a x^{2} + b x + c}}{3072 \, a^{4}}\right]"," ",0,"[-1/6144*(15*(b^6 - 12*a*b^4*c + 48*a^2*b^2*c^2 - 64*a^3*c^3)*sqrt(a)*log(-8*a^2*x^2 - 8*a*b*x - 4*sqrt(a*x^2 + b*x + c)*(2*a*x + b)*sqrt(a) - b^2 - 4*a*c) - 4*(256*a^6*x^5 + 640*a^5*b*x^4 + 15*a*b^5 - 160*a^2*b^3*c + 528*a^3*b*c^2 + 16*(27*a^4*b^2 + 52*a^5*c)*x^3 + 8*(a^3*b^3 + 156*a^4*b*c)*x^2 - 2*(5*a^2*b^4 - 48*a^3*b^2*c - 528*a^4*c^2)*x)*sqrt(a*x^2 + b*x + c))/a^4, 1/3072*(15*(b^6 - 12*a*b^4*c + 48*a^2*b^2*c^2 - 64*a^3*c^3)*sqrt(-a)*arctan(1/2*sqrt(a*x^2 + b*x + c)*(2*a*x + b)*sqrt(-a)/(a^2*x^2 + a*b*x + a*c)) + 2*(256*a^6*x^5 + 640*a^5*b*x^4 + 15*a*b^5 - 160*a^2*b^3*c + 528*a^3*b*c^2 + 16*(27*a^4*b^2 + 52*a^5*c)*x^3 + 8*(a^3*b^3 + 156*a^4*b*c)*x^2 - 2*(5*a^2*b^4 - 48*a^3*b^2*c - 528*a^4*c^2)*x)*sqrt(a*x^2 + b*x + c))/a^4]","A",0
2434,1,971,0,14.831345," ","integrate((x^8-x^4+1)/x^2/(x^4-1)^(3/4)/(x^8-x^4-1),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{10} x \sqrt{\sqrt{5} + 1} \arctan\left(-\frac{\sqrt{2} {\left(2 \, \sqrt{10} {\left(5 \, x^{6} - \sqrt{5} {\left(x^{6} + 2 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} - \sqrt{10} {\left(5 \, x^{8} + 5 \, x^{4} - \sqrt{5} {\left(5 \, x^{8} - 3 \, x^{4} - 1\right)} - 5\right)}\right)} {\left(\sqrt{5} + 1\right)} + 4 \, {\left(\sqrt{10} {\left(5 \, x^{5} - \sqrt{5} {\left(x^{5} + 2 \, x\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} - \sqrt{10} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(5 \, x^{3} - \sqrt{5} {\left(2 \, x^{7} - x^{3}\right)}\right)}\right)} \sqrt{\sqrt{5} + 1}}{40 \, {\left(x^{8} - x^{4} - 1\right)}}\right) + 4 \, \sqrt{10} x \sqrt{\sqrt{5} - 1} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{10} {\left(5 \, x^{6} + \sqrt{5} {\left(x^{6} + 2 \, x^{2}\right)}\right)} \sqrt{x^{4} - 1} + \sqrt{10} {\left(5 \, x^{8} + 5 \, x^{4} + \sqrt{5} {\left(5 \, x^{8} - 3 \, x^{4} - 1\right)} - 5\right)}\right)} {\left(\sqrt{5} - 1\right)} - 4 \, {\left(\sqrt{10} {\left(5 \, x^{5} + \sqrt{5} {\left(x^{5} + 2 \, x\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + \sqrt{10} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(5 \, x^{3} + \sqrt{5} {\left(2 \, x^{7} - x^{3}\right)}\right)}\right)} \sqrt{\sqrt{5} - 1}}{40 \, {\left(x^{8} - x^{4} - 1\right)}}\right) + \sqrt{10} x \sqrt{\sqrt{5} - 1} \log\left(\frac{10 \, {\left(2 \, x^{5} + \sqrt{5} x - x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + {\left(\sqrt{10} \sqrt{x^{4} - 1} {\left(5 \, x^{2} + \sqrt{5} {\left(2 \, x^{6} - x^{2}\right)}\right)} + \sqrt{10} {\left(5 \, x^{8} - 5 \, x^{4} + \sqrt{5} {\left(2 \, x^{4} - 1\right)}\right)}\right)} \sqrt{\sqrt{5} - 1} - 10 \, {\left(x^{7} - 3 \, x^{3} - \sqrt{5} {\left(x^{7} - x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x^{8} - x^{4} - 1}\right) - \sqrt{10} x \sqrt{\sqrt{5} - 1} \log\left(\frac{10 \, {\left(2 \, x^{5} + \sqrt{5} x - x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} - {\left(\sqrt{10} \sqrt{x^{4} - 1} {\left(5 \, x^{2} + \sqrt{5} {\left(2 \, x^{6} - x^{2}\right)}\right)} + \sqrt{10} {\left(5 \, x^{8} - 5 \, x^{4} + \sqrt{5} {\left(2 \, x^{4} - 1\right)}\right)}\right)} \sqrt{\sqrt{5} - 1} - 10 \, {\left(x^{7} - 3 \, x^{3} - \sqrt{5} {\left(x^{7} - x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x^{8} - x^{4} - 1}\right) + \sqrt{10} x \sqrt{\sqrt{5} + 1} \log\left(\frac{10 \, {\left(2 \, x^{5} - \sqrt{5} x - x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} + {\left(\sqrt{10} \sqrt{x^{4} - 1} {\left(5 \, x^{2} - \sqrt{5} {\left(2 \, x^{6} - x^{2}\right)}\right)} - \sqrt{10} {\left(5 \, x^{8} - 5 \, x^{4} - \sqrt{5} {\left(2 \, x^{4} - 1\right)}\right)}\right)} \sqrt{\sqrt{5} + 1} + 10 \, {\left(x^{7} - 3 \, x^{3} + \sqrt{5} {\left(x^{7} - x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x^{8} - x^{4} - 1}\right) - \sqrt{10} x \sqrt{\sqrt{5} + 1} \log\left(\frac{10 \, {\left(2 \, x^{5} - \sqrt{5} x - x\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} - {\left(\sqrt{10} \sqrt{x^{4} - 1} {\left(5 \, x^{2} - \sqrt{5} {\left(2 \, x^{6} - x^{2}\right)}\right)} - \sqrt{10} {\left(5 \, x^{8} - 5 \, x^{4} - \sqrt{5} {\left(2 \, x^{4} - 1\right)}\right)}\right)} \sqrt{\sqrt{5} + 1} + 10 \, {\left(x^{7} - 3 \, x^{3} + \sqrt{5} {\left(x^{7} - x^{3}\right)}\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x^{8} - x^{4} - 1}\right) + 40 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{40 \, x}"," ",0,"-1/40*(4*sqrt(10)*x*sqrt(sqrt(5) + 1)*arctan(-1/40*(sqrt(2)*(2*sqrt(10)*(5*x^6 - sqrt(5)*(x^6 + 2*x^2))*sqrt(x^4 - 1) - sqrt(10)*(5*x^8 + 5*x^4 - sqrt(5)*(5*x^8 - 3*x^4 - 1) - 5))*(sqrt(5) + 1) + 4*(sqrt(10)*(5*x^5 - sqrt(5)*(x^5 + 2*x))*(x^4 - 1)^(3/4) - sqrt(10)*(x^4 - 1)^(1/4)*(5*x^3 - sqrt(5)*(2*x^7 - x^3)))*sqrt(sqrt(5) + 1))/(x^8 - x^4 - 1)) + 4*sqrt(10)*x*sqrt(sqrt(5) - 1)*arctan(1/40*(sqrt(2)*(2*sqrt(10)*(5*x^6 + sqrt(5)*(x^6 + 2*x^2))*sqrt(x^4 - 1) + sqrt(10)*(5*x^8 + 5*x^4 + sqrt(5)*(5*x^8 - 3*x^4 - 1) - 5))*(sqrt(5) - 1) - 4*(sqrt(10)*(5*x^5 + sqrt(5)*(x^5 + 2*x))*(x^4 - 1)^(3/4) + sqrt(10)*(x^4 - 1)^(1/4)*(5*x^3 + sqrt(5)*(2*x^7 - x^3)))*sqrt(sqrt(5) - 1))/(x^8 - x^4 - 1)) + sqrt(10)*x*sqrt(sqrt(5) - 1)*log((10*(2*x^5 + sqrt(5)*x - x)*(x^4 - 1)^(3/4) + (sqrt(10)*sqrt(x^4 - 1)*(5*x^2 + sqrt(5)*(2*x^6 - x^2)) + sqrt(10)*(5*x^8 - 5*x^4 + sqrt(5)*(2*x^4 - 1)))*sqrt(sqrt(5) - 1) - 10*(x^7 - 3*x^3 - sqrt(5)*(x^7 - x^3))*(x^4 - 1)^(1/4))/(x^8 - x^4 - 1)) - sqrt(10)*x*sqrt(sqrt(5) - 1)*log((10*(2*x^5 + sqrt(5)*x - x)*(x^4 - 1)^(3/4) - (sqrt(10)*sqrt(x^4 - 1)*(5*x^2 + sqrt(5)*(2*x^6 - x^2)) + sqrt(10)*(5*x^8 - 5*x^4 + sqrt(5)*(2*x^4 - 1)))*sqrt(sqrt(5) - 1) - 10*(x^7 - 3*x^3 - sqrt(5)*(x^7 - x^3))*(x^4 - 1)^(1/4))/(x^8 - x^4 - 1)) + sqrt(10)*x*sqrt(sqrt(5) + 1)*log((10*(2*x^5 - sqrt(5)*x - x)*(x^4 - 1)^(3/4) + (sqrt(10)*sqrt(x^4 - 1)*(5*x^2 - sqrt(5)*(2*x^6 - x^2)) - sqrt(10)*(5*x^8 - 5*x^4 - sqrt(5)*(2*x^4 - 1)))*sqrt(sqrt(5) + 1) + 10*(x^7 - 3*x^3 + sqrt(5)*(x^7 - x^3))*(x^4 - 1)^(1/4))/(x^8 - x^4 - 1)) - sqrt(10)*x*sqrt(sqrt(5) + 1)*log((10*(2*x^5 - sqrt(5)*x - x)*(x^4 - 1)^(3/4) - (sqrt(10)*sqrt(x^4 - 1)*(5*x^2 - sqrt(5)*(2*x^6 - x^2)) - sqrt(10)*(5*x^8 - 5*x^4 - sqrt(5)*(2*x^4 - 1)))*sqrt(sqrt(5) + 1) + 10*(x^7 - 3*x^3 + sqrt(5)*(x^7 - x^3))*(x^4 - 1)^(1/4))/(x^8 - x^4 - 1)) + 40*(x^4 - 1)^(1/4))/x","B",0
2435,-2,0,0,0.000000," ","integrate((c*x^2-d)*(a*x+(a^2*x^2+b^2)^(1/2))^(1/2)/(c*x^2+d),x, algorithm=""fricas"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> the translation of the FriCAS object sage2 to sage is not yet implemented","F(-2)",0
2436,-2,0,0,0.000000," ","integrate((c*x^2-d)*(a*x+(a^2*x^2+b^2)^(1/2))^(1/2)/(c*x^2+d),x, algorithm=""fricas"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> the translation of the FriCAS object sage2 to sage is not yet implemented","F(-2)",0
2437,1,108,0,0.502315," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{1}{24} \, {\left({\left(16 \, x^{2} - \sqrt{x^{2} + 1} {\left(16 \, x + 3\right)} + 3 \, x - 8\right)} \sqrt{x + \sqrt{x^{2} + 1}} - 2 \, x + 2 \, \sqrt{x^{2} + 1} - 16\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \frac{1}{16} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) + \frac{1}{16} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right)"," ",0,"-1/24*((16*x^2 - sqrt(x^2 + 1)*(16*x + 3) + 3*x - 8)*sqrt(x + sqrt(x^2 + 1)) - 2*x + 2*sqrt(x^2 + 1) - 16)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1/16*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) + 1/16*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1)","A",0
2438,1,171,0,2.125691," ","integrate(1/x/(3*x^2-6*x+4)^(1/3),x, algorithm=""fricas"")","-\frac{1}{6} \cdot 4^{\frac{1}{6}} \sqrt{3} \arctan\left(\frac{4^{\frac{1}{6}} \sqrt{3} {\left(4^{\frac{1}{3}} x^{3} + 2 \cdot 4^{\frac{2}{3}} {\left(3 \, x^{2} - 6 \, x + 4\right)}^{\frac{2}{3}} {\left(x - 2\right)} + 4 \, {\left(3 \, x^{2} - 6 \, x + 4\right)}^{\frac{1}{3}} {\left(x^{2} - 4 \, x + 4\right)}\right)}}{6 \, {\left(x^{3} - 12 \, x^{2} + 24 \, x - 16\right)}}\right) + \frac{1}{12} \cdot 4^{\frac{2}{3}} \log\left(\frac{4^{\frac{1}{3}} {\left(x - 2\right)} + 2 \, {\left(3 \, x^{2} - 6 \, x + 4\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{24} \cdot 4^{\frac{2}{3}} \log\left(\frac{4^{\frac{2}{3}} {\left(3 \, x^{2} - 6 \, x + 4\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} {\left(x^{2} - 4 \, x + 4\right)} - 2 \, {\left(3 \, x^{2} - 6 \, x + 4\right)}^{\frac{1}{3}} {\left(x - 2\right)}}{x^{2}}\right)"," ",0,"-1/6*4^(1/6)*sqrt(3)*arctan(1/6*4^(1/6)*sqrt(3)*(4^(1/3)*x^3 + 2*4^(2/3)*(3*x^2 - 6*x + 4)^(2/3)*(x - 2) + 4*(3*x^2 - 6*x + 4)^(1/3)*(x^2 - 4*x + 4))/(x^3 - 12*x^2 + 24*x - 16)) + 1/12*4^(2/3)*log((4^(1/3)*(x - 2) + 2*(3*x^2 - 6*x + 4)^(1/3))/x) - 1/24*4^(2/3)*log((4^(2/3)*(3*x^2 - 6*x + 4)^(2/3) + 4^(1/3)*(x^2 - 4*x + 4) - 2*(3*x^2 - 6*x + 4)^(1/3)*(x - 2))/x^2)","A",0
2439,1,489,0,0.504691," ","integrate(x^2*(a*x^4+b*x^3)^(1/4)/(a*x-b),x, algorithm=""fricas"")","\frac{1536 \cdot 2^{\frac{1}{4}} a^{3} \left(\frac{b^{12}}{a^{15}}\right)^{\frac{1}{4}} \arctan\left(-\frac{2^{\frac{3}{4}} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} a^{11} b^{3} \left(\frac{b^{12}}{a^{15}}\right)^{\frac{3}{4}} - 2^{\frac{3}{4}} a^{11} x \sqrt{\frac{\sqrt{2} a^{8} x^{2} \sqrt{\frac{b^{12}}{a^{15}}} + \sqrt{a x^{4} + b x^{3}} b^{6}}{x^{2}}} \left(\frac{b^{12}}{a^{15}}\right)^{\frac{3}{4}}}{2 \, b^{12} x}\right) - 384 \cdot 2^{\frac{1}{4}} a^{3} \left(\frac{b^{12}}{a^{15}}\right)^{\frac{1}{4}} \log\left(\frac{2^{\frac{1}{4}} a^{4} x \left(\frac{b^{12}}{a^{15}}\right)^{\frac{1}{4}} + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} b^{3}}{x}\right) + 384 \cdot 2^{\frac{1}{4}} a^{3} \left(\frac{b^{12}}{a^{15}}\right)^{\frac{1}{4}} \log\left(-\frac{2^{\frac{1}{4}} a^{4} x \left(\frac{b^{12}}{a^{15}}\right)^{\frac{1}{4}} - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} b^{3}}{x}\right) - 1860 \, a^{3} \left(\frac{b^{12}}{a^{15}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} a^{11} b^{3} \left(\frac{b^{12}}{a^{15}}\right)^{\frac{3}{4}} - a^{11} x \sqrt{\frac{a^{8} x^{2} \sqrt{\frac{b^{12}}{a^{15}}} + \sqrt{a x^{4} + b x^{3}} b^{6}}{x^{2}}} \left(\frac{b^{12}}{a^{15}}\right)^{\frac{3}{4}}}{b^{12} x}\right) + 465 \, a^{3} \left(\frac{b^{12}}{a^{15}}\right)^{\frac{1}{4}} \log\left(\frac{155 \, {\left(a^{4} x \left(\frac{b^{12}}{a^{15}}\right)^{\frac{1}{4}} + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} b^{3}\right)}}{x}\right) - 465 \, a^{3} \left(\frac{b^{12}}{a^{15}}\right)^{\frac{1}{4}} \log\left(-\frac{155 \, {\left(a^{4} x \left(\frac{b^{12}}{a^{15}}\right)^{\frac{1}{4}} - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} b^{3}\right)}}{x}\right) + 4 \, {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(32 \, a^{2} x^{2} + 52 \, a b x + 101 \, b^{2}\right)}}{384 \, a^{3}}"," ",0,"1/384*(1536*2^(1/4)*a^3*(b^12/a^15)^(1/4)*arctan(-1/2*(2^(3/4)*(a*x^4 + b*x^3)^(1/4)*a^11*b^3*(b^12/a^15)^(3/4) - 2^(3/4)*a^11*x*sqrt((sqrt(2)*a^8*x^2*sqrt(b^12/a^15) + sqrt(a*x^4 + b*x^3)*b^6)/x^2)*(b^12/a^15)^(3/4))/(b^12*x)) - 384*2^(1/4)*a^3*(b^12/a^15)^(1/4)*log((2^(1/4)*a^4*x*(b^12/a^15)^(1/4) + (a*x^4 + b*x^3)^(1/4)*b^3)/x) + 384*2^(1/4)*a^3*(b^12/a^15)^(1/4)*log(-(2^(1/4)*a^4*x*(b^12/a^15)^(1/4) - (a*x^4 + b*x^3)^(1/4)*b^3)/x) - 1860*a^3*(b^12/a^15)^(1/4)*arctan(-((a*x^4 + b*x^3)^(1/4)*a^11*b^3*(b^12/a^15)^(3/4) - a^11*x*sqrt((a^8*x^2*sqrt(b^12/a^15) + sqrt(a*x^4 + b*x^3)*b^6)/x^2)*(b^12/a^15)^(3/4))/(b^12*x)) + 465*a^3*(b^12/a^15)^(1/4)*log(155*(a^4*x*(b^12/a^15)^(1/4) + (a*x^4 + b*x^3)^(1/4)*b^3)/x) - 465*a^3*(b^12/a^15)^(1/4)*log(-155*(a^4*x*(b^12/a^15)^(1/4) - (a*x^4 + b*x^3)^(1/4)*b^3)/x) + 4*(a*x^4 + b*x^3)^(1/4)*(32*a^2*x^2 + 52*a*b*x + 101*b^2))/a^3","B",0
2440,1,397,0,4.397801," ","integrate((x^6-1)/(x^5+x)^(1/3)/(x^6+1),x, algorithm=""fricas"")","\frac{1}{36} \, \sqrt{6} 2^{\frac{1}{6}} \left(-1\right)^{\frac{1}{3}} \arctan\left(\frac{2^{\frac{1}{6}} {\left(6 \, \sqrt{6} 2^{\frac{2}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{8} - 14 \, x^{6} + 6 \, x^{4} - 14 \, x^{2} + 1\right)} {\left(x^{5} + x\right)}^{\frac{2}{3}} - 24 \, \sqrt{6} \left(-1\right)^{\frac{1}{3}} {\left(x^{9} + x^{7} + x^{3} + x\right)} {\left(x^{5} + x\right)}^{\frac{1}{3}} + \sqrt{6} 2^{\frac{1}{3}} {\left(x^{12} + 24 \, x^{10} - 57 \, x^{8} + 56 \, x^{6} - 57 \, x^{4} + 24 \, x^{2} + 1\right)}\right)}}{6 \, {\left(x^{12} - 48 \, x^{10} + 15 \, x^{8} - 88 \, x^{6} + 15 \, x^{4} - 48 \, x^{2} + 1\right)}}\right) - \frac{1}{72} \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(\frac{12 \cdot 2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{5} - x^{3} + x\right)} {\left(x^{5} + x\right)}^{\frac{1}{3}} - 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{8} - 14 \, x^{6} + 6 \, x^{4} - 14 \, x^{2} + 1\right)} - 6 \, {\left(x^{5} + x\right)}^{\frac{2}{3}} {\left(x^{4} - 4 \, x^{2} + 1\right)}}{x^{8} + 4 \, x^{6} + 6 \, x^{4} + 4 \, x^{2} + 1}\right) + \frac{1}{36} \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(-\frac{2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{4} + 2 \, x^{2} + 1\right)} - 3 \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{5} + x\right)}^{\frac{2}{3}} + 6 \, {\left(x^{5} + x\right)}^{\frac{1}{3}} x}{x^{4} + 2 \, x^{2} + 1}\right) + \frac{1}{3} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{5} + x\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{1}{6} \, \log\left(\frac{x^{4} - x^{2} + 3 \, {\left(x^{5} + x\right)}^{\frac{1}{3}} x - 3 \, {\left(x^{5} + x\right)}^{\frac{2}{3}} + 1}{x^{4} - x^{2} + 1}\right)"," ",0,"1/36*sqrt(6)*2^(1/6)*(-1)^(1/3)*arctan(1/6*2^(1/6)*(6*sqrt(6)*2^(2/3)*(-1)^(2/3)*(x^8 - 14*x^6 + 6*x^4 - 14*x^2 + 1)*(x^5 + x)^(2/3) - 24*sqrt(6)*(-1)^(1/3)*(x^9 + x^7 + x^3 + x)*(x^5 + x)^(1/3) + sqrt(6)*2^(1/3)*(x^12 + 24*x^10 - 57*x^8 + 56*x^6 - 57*x^4 + 24*x^2 + 1))/(x^12 - 48*x^10 + 15*x^8 - 88*x^6 + 15*x^4 - 48*x^2 + 1)) - 1/72*2^(2/3)*(-1)^(1/3)*log((12*2^(1/3)*(-1)^(2/3)*(x^5 - x^3 + x)*(x^5 + x)^(1/3) - 2^(2/3)*(-1)^(1/3)*(x^8 - 14*x^6 + 6*x^4 - 14*x^2 + 1) - 6*(x^5 + x)^(2/3)*(x^4 - 4*x^2 + 1))/(x^8 + 4*x^6 + 6*x^4 + 4*x^2 + 1)) + 1/36*2^(2/3)*(-1)^(1/3)*log(-(2^(1/3)*(-1)^(2/3)*(x^4 + 2*x^2 + 1) - 3*2^(2/3)*(-1)^(1/3)*(x^5 + x)^(2/3) + 6*(x^5 + x)^(1/3)*x)/(x^4 + 2*x^2 + 1)) + 1/3*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^5 + x)^(1/3))/x) + 1/6*log((x^4 - x^2 + 3*(x^5 + x)^(1/3)*x - 3*(x^5 + x)^(2/3) + 1)/(x^4 - x^2 + 1))","B",0
2441,1,10215,0,2.196009," ","integrate((a*x^8-2*x^4+b)/(a*x^4-b)^(1/4)/(2*a*x^8-2*x^4+b),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{\frac{1}{2}} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b + {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{\frac{1}{2}} {\left({\left({\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} x \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} - {\left(2 \, a^{3} b^{3} + {\left(4 \, a^{3} - 13 \, a^{2}\right)} b^{2} - 2 \, {\left(3 \, a^{2} - 7 \, a\right)} b + 2 \, a - 4\right)} x\right)} \sqrt{\frac{{\left(a^{10} b^{10} + 4 \, {\left(a^{10} - 3 \, a^{9}\right)} b^{9} + 4 \, {\left(a^{10} - 7 \, a^{9} + 11 \, a^{8}\right)} b^{8} - 8 \, {\left(a^{9} - 5 \, a^{8} + 6 \, a^{7}\right)} b^{7} + 4 \, {\left(a^{8} - 4 \, a^{7} + 4 \, a^{6}\right)} b^{6}\right)} \sqrt{a x^{4} - b} - {\left({\left(16 \, a^{11} b^{11} + 8 \, {\left(a^{12} + 4 \, a^{11} - 19 \, a^{10}\right)} b^{10} + 4 \, {\left(6 \, a^{12} - 23 \, a^{11} - 28 \, a^{10} + 115 \, a^{9}\right)} b^{9} + 2 \, {\left(8 \, a^{12} - 82 \, a^{11} + 207 \, a^{10} - 4 \, a^{9} - 305 \, a^{8}\right)} b^{8} - {\left(40 \, a^{11} - 306 \, a^{10} + 685 \, a^{9} - 268 \, a^{8} - 400 \, a^{7}\right)} b^{7} + {\left(36 \, a^{10} - 243 \, a^{9} + 514 \, a^{8} - 280 \, a^{7} - 128 \, a^{6}\right)} b^{6} - 2 \, {\left(7 \, a^{9} - 44 \, a^{8} + 90 \, a^{7} - 56 \, a^{6} - 8 \, a^{5}\right)} b^{5} + 2 \, {\left(a^{8} - 6 \, a^{7} + 12 \, a^{6} - 8 \, a^{5}\right)} b^{4}\right)} x^{2} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} - {\left(2 \, {\left(a^{11} - 3 \, a^{10}\right)} b^{10} + {\left(8 \, a^{11} - 51 \, a^{10} + 79 \, a^{9}\right)} b^{9} + {\left(8 \, a^{11} - 92 \, a^{10} + 321 \, a^{9} - 350 \, a^{8}\right)} b^{8} - 4 \, {\left(7 \, a^{10} - 61 \, a^{9} + 171 \, a^{8} - 155 \, a^{7}\right)} b^{7} + 4 \, {\left(9 \, a^{9} - 67 \, a^{8} + 163 \, a^{7} - 130 \, a^{6}\right)} b^{6} - 4 \, {\left(5 \, a^{8} - 33 \, a^{7} + 72 \, a^{6} - 52 \, a^{5}\right)} b^{5} + 4 \, {\left(a^{7} - 6 \, a^{6} + 12 \, a^{5} - 8 \, a^{4}\right)} b^{4}\right)} x^{2}\right)} \sqrt{\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b + {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}}}{x^{2}}} + {\left(2 \, a^{8} b^{8} + {\left(8 \, a^{8} - 25 \, a^{7}\right)} b^{7} + 4 \, {\left(2 \, a^{8} - 15 \, a^{7} + 25 \, a^{6}\right)} b^{6} - 4 \, {\left(5 \, a^{7} - 27 \, a^{6} + 35 \, a^{5}\right)} b^{5} + 8 \, {\left(2 \, a^{6} - 9 \, a^{5} + 10 \, a^{4}\right)} b^{4} - 4 \, {\left(a^{5} - 4 \, a^{4} + 4 \, a^{3}\right)} b^{3} - {\left(8 \, a^{8} b^{8} + 4 \, {\left(a^{9} + 2 \, a^{8} - 14 \, a^{7}\right)} b^{7} + 2 \, {\left(4 \, a^{9} - 22 \, a^{8} + 12 \, a^{7} + 41 \, a^{6}\right)} b^{6} - {\left(16 \, a^{8} - 73 \, a^{7} + 62 \, a^{6} + 44 \, a^{5}\right)} b^{5} + 2 \, {\left(5 \, a^{7} - 21 \, a^{6} + 20 \, a^{5} + 4 \, a^{4}\right)} b^{4} - 2 \, {\left(a^{6} - 4 \, a^{5} + 4 \, a^{4}\right)} b^{3}\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}\right)} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b + {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{1}{4}}}{{\left(a^{8} b^{8} + 4 \, {\left(a^{8} - 3 \, a^{7}\right)} b^{7} + 4 \, {\left(a^{8} - 7 \, a^{7} + 11 \, a^{6}\right)} b^{6} - 8 \, {\left(a^{7} - 5 \, a^{6} + 6 \, a^{5}\right)} b^{5} + 4 \, {\left(a^{6} - 4 \, a^{5} + 4 \, a^{4}\right)} b^{4}\right)} x}\right) + \frac{1}{2} \, \sqrt{\frac{1}{2}} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b - {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{\frac{1}{2}} {\left({\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} x \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + {\left(2 \, a^{3} b^{3} + {\left(4 \, a^{3} - 13 \, a^{2}\right)} b^{2} - 2 \, {\left(3 \, a^{2} - 7 \, a\right)} b + 2 \, a - 4\right)} x\right)} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b - {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{1}{4}} \sqrt{\frac{{\left(a^{10} b^{10} + 4 \, {\left(a^{10} - 3 \, a^{9}\right)} b^{9} + 4 \, {\left(a^{10} - 7 \, a^{9} + 11 \, a^{8}\right)} b^{8} - 8 \, {\left(a^{9} - 5 \, a^{8} + 6 \, a^{7}\right)} b^{7} + 4 \, {\left(a^{8} - 4 \, a^{7} + 4 \, a^{6}\right)} b^{6}\right)} \sqrt{a x^{4} - b} + {\left({\left(16 \, a^{11} b^{11} + 8 \, {\left(a^{12} + 4 \, a^{11} - 19 \, a^{10}\right)} b^{10} + 4 \, {\left(6 \, a^{12} - 23 \, a^{11} - 28 \, a^{10} + 115 \, a^{9}\right)} b^{9} + 2 \, {\left(8 \, a^{12} - 82 \, a^{11} + 207 \, a^{10} - 4 \, a^{9} - 305 \, a^{8}\right)} b^{8} - {\left(40 \, a^{11} - 306 \, a^{10} + 685 \, a^{9} - 268 \, a^{8} - 400 \, a^{7}\right)} b^{7} + {\left(36 \, a^{10} - 243 \, a^{9} + 514 \, a^{8} - 280 \, a^{7} - 128 \, a^{6}\right)} b^{6} - 2 \, {\left(7 \, a^{9} - 44 \, a^{8} + 90 \, a^{7} - 56 \, a^{6} - 8 \, a^{5}\right)} b^{5} + 2 \, {\left(a^{8} - 6 \, a^{7} + 12 \, a^{6} - 8 \, a^{5}\right)} b^{4}\right)} x^{2} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + {\left(2 \, {\left(a^{11} - 3 \, a^{10}\right)} b^{10} + {\left(8 \, a^{11} - 51 \, a^{10} + 79 \, a^{9}\right)} b^{9} + {\left(8 \, a^{11} - 92 \, a^{10} + 321 \, a^{9} - 350 \, a^{8}\right)} b^{8} - 4 \, {\left(7 \, a^{10} - 61 \, a^{9} + 171 \, a^{8} - 155 \, a^{7}\right)} b^{7} + 4 \, {\left(9 \, a^{9} - 67 \, a^{8} + 163 \, a^{7} - 130 \, a^{6}\right)} b^{6} - 4 \, {\left(5 \, a^{8} - 33 \, a^{7} + 72 \, a^{6} - 52 \, a^{5}\right)} b^{5} + 4 \, {\left(a^{7} - 6 \, a^{6} + 12 \, a^{5} - 8 \, a^{4}\right)} b^{4}\right)} x^{2}\right)} \sqrt{\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b - {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}}}{x^{2}}} - \sqrt{\frac{1}{2}} {\left(2 \, a^{8} b^{8} + {\left(8 \, a^{8} - 25 \, a^{7}\right)} b^{7} + 4 \, {\left(2 \, a^{8} - 15 \, a^{7} + 25 \, a^{6}\right)} b^{6} - 4 \, {\left(5 \, a^{7} - 27 \, a^{6} + 35 \, a^{5}\right)} b^{5} + 8 \, {\left(2 \, a^{6} - 9 \, a^{5} + 10 \, a^{4}\right)} b^{4} - 4 \, {\left(a^{5} - 4 \, a^{4} + 4 \, a^{3}\right)} b^{3} + {\left(8 \, a^{8} b^{8} + 4 \, {\left(a^{9} + 2 \, a^{8} - 14 \, a^{7}\right)} b^{7} + 2 \, {\left(4 \, a^{9} - 22 \, a^{8} + 12 \, a^{7} + 41 \, a^{6}\right)} b^{6} - {\left(16 \, a^{8} - 73 \, a^{7} + 62 \, a^{6} + 44 \, a^{5}\right)} b^{5} + 2 \, {\left(5 \, a^{7} - 21 \, a^{6} + 20 \, a^{5} + 4 \, a^{4}\right)} b^{4} - 2 \, {\left(a^{6} - 4 \, a^{5} + 4 \, a^{4}\right)} b^{3}\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b - {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{1}{4}}}{{\left(a^{8} b^{8} + 4 \, {\left(a^{8} - 3 \, a^{7}\right)} b^{7} + 4 \, {\left(a^{8} - 7 \, a^{7} + 11 \, a^{6}\right)} b^{6} - 8 \, {\left(a^{7} - 5 \, a^{6} + 6 \, a^{5}\right)} b^{5} + 4 \, {\left(a^{6} - 4 \, a^{5} + 4 \, a^{4}\right)} b^{4}\right)} x}\right) - \frac{1}{8} \, \sqrt{\frac{1}{2}} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b + {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{1}{4}} \log\left(\frac{\sqrt{\frac{1}{2}} {\left({\left(32 \, a^{6} b^{6} + 16 \, {\left(a^{7} + a^{6} - 11 \, a^{5}\right)} b^{5} + 8 \, {\left(3 \, a^{7} - 17 \, a^{6} + 9 \, a^{5} + 35 \, a^{4}\right)} b^{4} - 4 \, {\left(13 \, a^{6} - 61 \, a^{5} + 49 \, a^{4} + 49 \, a^{3}\right)} b^{3} + 2 \, a^{3} + 2 \, {\left(21 \, a^{5} - 91 \, a^{4} + 83 \, a^{3} + 32 \, a^{2}\right)} b^{2} - 8 \, a^{2} - {\left(15 \, a^{4} - 62 \, a^{3} + 60 \, a^{2} + 8 \, a\right)} b + 8 \, a\right)} x \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} - {\left(4 \, {\left(a^{6} - 4 \, a^{5}\right)} b^{5} + 4 \, {\left(2 \, a^{6} - 17 \, a^{5} + 32 \, a^{4}\right)} b^{4} - {\left(32 \, a^{5} - 193 \, a^{4} + 276 \, a^{3}\right)} b^{3} + 2 \, {\left(21 \, a^{4} - 104 \, a^{3} + 126 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 2 \, {\left(11 \, a^{3} - 48 \, a^{2} + 52 \, a\right)} b - 16 \, a + 16\right)} x\right)} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b + {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{3}{4}} + {\left(a^{5} b^{5} + 2 \, {\left(a^{5} - 3 \, a^{4}\right)} b^{4} - 2 \, {\left(a^{4} - 2 \, a^{3}\right)} b^{3}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{8} \, \sqrt{\frac{1}{2}} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b + {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{1}{4}} \log\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(32 \, a^{6} b^{6} + 16 \, {\left(a^{7} + a^{6} - 11 \, a^{5}\right)} b^{5} + 8 \, {\left(3 \, a^{7} - 17 \, a^{6} + 9 \, a^{5} + 35 \, a^{4}\right)} b^{4} - 4 \, {\left(13 \, a^{6} - 61 \, a^{5} + 49 \, a^{4} + 49 \, a^{3}\right)} b^{3} + 2 \, a^{3} + 2 \, {\left(21 \, a^{5} - 91 \, a^{4} + 83 \, a^{3} + 32 \, a^{2}\right)} b^{2} - 8 \, a^{2} - {\left(15 \, a^{4} - 62 \, a^{3} + 60 \, a^{2} + 8 \, a\right)} b + 8 \, a\right)} x \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} - {\left(4 \, {\left(a^{6} - 4 \, a^{5}\right)} b^{5} + 4 \, {\left(2 \, a^{6} - 17 \, a^{5} + 32 \, a^{4}\right)} b^{4} - {\left(32 \, a^{5} - 193 \, a^{4} + 276 \, a^{3}\right)} b^{3} + 2 \, {\left(21 \, a^{4} - 104 \, a^{3} + 126 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 2 \, {\left(11 \, a^{3} - 48 \, a^{2} + 52 \, a\right)} b - 16 \, a + 16\right)} x\right)} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b + {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{3}{4}} - {\left(a^{5} b^{5} + 2 \, {\left(a^{5} - 3 \, a^{4}\right)} b^{4} - 2 \, {\left(a^{4} - 2 \, a^{3}\right)} b^{3}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{8} \, \sqrt{\frac{1}{2}} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b - {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{1}{4}} \log\left(\frac{\sqrt{\frac{1}{2}} {\left({\left(32 \, a^{6} b^{6} + 16 \, {\left(a^{7} + a^{6} - 11 \, a^{5}\right)} b^{5} + 8 \, {\left(3 \, a^{7} - 17 \, a^{6} + 9 \, a^{5} + 35 \, a^{4}\right)} b^{4} - 4 \, {\left(13 \, a^{6} - 61 \, a^{5} + 49 \, a^{4} + 49 \, a^{3}\right)} b^{3} + 2 \, a^{3} + 2 \, {\left(21 \, a^{5} - 91 \, a^{4} + 83 \, a^{3} + 32 \, a^{2}\right)} b^{2} - 8 \, a^{2} - {\left(15 \, a^{4} - 62 \, a^{3} + 60 \, a^{2} + 8 \, a\right)} b + 8 \, a\right)} x \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + {\left(4 \, {\left(a^{6} - 4 \, a^{5}\right)} b^{5} + 4 \, {\left(2 \, a^{6} - 17 \, a^{5} + 32 \, a^{4}\right)} b^{4} - {\left(32 \, a^{5} - 193 \, a^{4} + 276 \, a^{3}\right)} b^{3} + 2 \, {\left(21 \, a^{4} - 104 \, a^{3} + 126 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 2 \, {\left(11 \, a^{3} - 48 \, a^{2} + 52 \, a\right)} b - 16 \, a + 16\right)} x\right)} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b - {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{3}{4}} + {\left(a^{5} b^{5} + 2 \, {\left(a^{5} - 3 \, a^{4}\right)} b^{4} - 2 \, {\left(a^{4} - 2 \, a^{3}\right)} b^{3}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{8} \, \sqrt{\frac{1}{2}} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b - {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{1}{4}} \log\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(32 \, a^{6} b^{6} + 16 \, {\left(a^{7} + a^{6} - 11 \, a^{5}\right)} b^{5} + 8 \, {\left(3 \, a^{7} - 17 \, a^{6} + 9 \, a^{5} + 35 \, a^{4}\right)} b^{4} - 4 \, {\left(13 \, a^{6} - 61 \, a^{5} + 49 \, a^{4} + 49 \, a^{3}\right)} b^{3} + 2 \, a^{3} + 2 \, {\left(21 \, a^{5} - 91 \, a^{4} + 83 \, a^{3} + 32 \, a^{2}\right)} b^{2} - 8 \, a^{2} - {\left(15 \, a^{4} - 62 \, a^{3} + 60 \, a^{2} + 8 \, a\right)} b + 8 \, a\right)} x \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + {\left(4 \, {\left(a^{6} - 4 \, a^{5}\right)} b^{5} + 4 \, {\left(2 \, a^{6} - 17 \, a^{5} + 32 \, a^{4}\right)} b^{4} - {\left(32 \, a^{5} - 193 \, a^{4} + 276 \, a^{3}\right)} b^{3} + 2 \, {\left(21 \, a^{4} - 104 \, a^{3} + 126 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 2 \, {\left(11 \, a^{3} - 48 \, a^{2} + 52 \, a\right)} b - 16 \, a + 16\right)} x\right)} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b - {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{3}{4}} - {\left(a^{5} b^{5} + 2 \, {\left(a^{5} - 3 \, a^{4}\right)} b^{4} - 2 \, {\left(a^{4} - 2 \, a^{3}\right)} b^{3}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right) + \frac{\arctan\left(\frac{\frac{x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} - b}}{x^{2}}}}{a^{\frac{1}{4}}} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}}{x}\right)}{2 \, a^{\frac{1}{4}}} + \frac{\log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right)}{8 \, a^{\frac{1}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right)}{8 \, a^{\frac{1}{4}}}"," ",0,"-1/2*sqrt(1/2)*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b + (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(1/4)*arctan(sqrt(1/2)*(((8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*x*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) - (2*a^3*b^3 + (4*a^3 - 13*a^2)*b^2 - 2*(3*a^2 - 7*a)*b + 2*a - 4)*x)*sqrt(((a^10*b^10 + 4*(a^10 - 3*a^9)*b^9 + 4*(a^10 - 7*a^9 + 11*a^8)*b^8 - 8*(a^9 - 5*a^8 + 6*a^7)*b^7 + 4*(a^8 - 4*a^7 + 4*a^6)*b^6)*sqrt(a*x^4 - b) - ((16*a^11*b^11 + 8*(a^12 + 4*a^11 - 19*a^10)*b^10 + 4*(6*a^12 - 23*a^11 - 28*a^10 + 115*a^9)*b^9 + 2*(8*a^12 - 82*a^11 + 207*a^10 - 4*a^9 - 305*a^8)*b^8 - (40*a^11 - 306*a^10 + 685*a^9 - 268*a^8 - 400*a^7)*b^7 + (36*a^10 - 243*a^9 + 514*a^8 - 280*a^7 - 128*a^6)*b^6 - 2*(7*a^9 - 44*a^8 + 90*a^7 - 56*a^6 - 8*a^5)*b^5 + 2*(a^8 - 6*a^7 + 12*a^6 - 8*a^5)*b^4)*x^2*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) - (2*(a^11 - 3*a^10)*b^10 + (8*a^11 - 51*a^10 + 79*a^9)*b^9 + (8*a^11 - 92*a^10 + 321*a^9 - 350*a^8)*b^8 - 4*(7*a^10 - 61*a^9 + 171*a^8 - 155*a^7)*b^7 + 4*(9*a^9 - 67*a^8 + 163*a^7 - 130*a^6)*b^6 - 4*(5*a^8 - 33*a^7 + 72*a^6 - 52*a^5)*b^5 + 4*(a^7 - 6*a^6 + 12*a^5 - 8*a^4)*b^4)*x^2)*sqrt(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b + (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)))/x^2) + (2*a^8*b^8 + (8*a^8 - 25*a^7)*b^7 + 4*(2*a^8 - 15*a^7 + 25*a^6)*b^6 - 4*(5*a^7 - 27*a^6 + 35*a^5)*b^5 + 8*(2*a^6 - 9*a^5 + 10*a^4)*b^4 - 4*(a^5 - 4*a^4 + 4*a^3)*b^3 - (8*a^8*b^8 + 4*(a^9 + 2*a^8 - 14*a^7)*b^7 + 2*(4*a^9 - 22*a^8 + 12*a^7 + 41*a^6)*b^6 - (16*a^8 - 73*a^7 + 62*a^6 + 44*a^5)*b^5 + 2*(5*a^7 - 21*a^6 + 20*a^5 + 4*a^4)*b^4 - 2*(a^6 - 4*a^5 + 4*a^4)*b^3)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)))*(a*x^4 - b)^(1/4))*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b + (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(1/4)/((a^8*b^8 + 4*(a^8 - 3*a^7)*b^7 + 4*(a^8 - 7*a^7 + 11*a^6)*b^6 - 8*(a^7 - 5*a^6 + 6*a^5)*b^5 + 4*(a^6 - 4*a^5 + 4*a^4)*b^4)*x)) + 1/2*sqrt(1/2)*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b - (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(1/4)*arctan((sqrt(1/2)*((8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*x*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + (2*a^3*b^3 + (4*a^3 - 13*a^2)*b^2 - 2*(3*a^2 - 7*a)*b + 2*a - 4)*x)*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b - (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(1/4)*sqrt(((a^10*b^10 + 4*(a^10 - 3*a^9)*b^9 + 4*(a^10 - 7*a^9 + 11*a^8)*b^8 - 8*(a^9 - 5*a^8 + 6*a^7)*b^7 + 4*(a^8 - 4*a^7 + 4*a^6)*b^6)*sqrt(a*x^4 - b) + ((16*a^11*b^11 + 8*(a^12 + 4*a^11 - 19*a^10)*b^10 + 4*(6*a^12 - 23*a^11 - 28*a^10 + 115*a^9)*b^9 + 2*(8*a^12 - 82*a^11 + 207*a^10 - 4*a^9 - 305*a^8)*b^8 - (40*a^11 - 306*a^10 + 685*a^9 - 268*a^8 - 400*a^7)*b^7 + (36*a^10 - 243*a^9 + 514*a^8 - 280*a^7 - 128*a^6)*b^6 - 2*(7*a^9 - 44*a^8 + 90*a^7 - 56*a^6 - 8*a^5)*b^5 + 2*(a^8 - 6*a^7 + 12*a^6 - 8*a^5)*b^4)*x^2*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + (2*(a^11 - 3*a^10)*b^10 + (8*a^11 - 51*a^10 + 79*a^9)*b^9 + (8*a^11 - 92*a^10 + 321*a^9 - 350*a^8)*b^8 - 4*(7*a^10 - 61*a^9 + 171*a^8 - 155*a^7)*b^7 + 4*(9*a^9 - 67*a^8 + 163*a^7 - 130*a^6)*b^6 - 4*(5*a^8 - 33*a^7 + 72*a^6 - 52*a^5)*b^5 + 4*(a^7 - 6*a^6 + 12*a^5 - 8*a^4)*b^4)*x^2)*sqrt(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b - (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)))/x^2) - sqrt(1/2)*(2*a^8*b^8 + (8*a^8 - 25*a^7)*b^7 + 4*(2*a^8 - 15*a^7 + 25*a^6)*b^6 - 4*(5*a^7 - 27*a^6 + 35*a^5)*b^5 + 8*(2*a^6 - 9*a^5 + 10*a^4)*b^4 - 4*(a^5 - 4*a^4 + 4*a^3)*b^3 + (8*a^8*b^8 + 4*(a^9 + 2*a^8 - 14*a^7)*b^7 + 2*(4*a^9 - 22*a^8 + 12*a^7 + 41*a^6)*b^6 - (16*a^8 - 73*a^7 + 62*a^6 + 44*a^5)*b^5 + 2*(5*a^7 - 21*a^6 + 20*a^5 + 4*a^4)*b^4 - 2*(a^6 - 4*a^5 + 4*a^4)*b^3)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)))*(a*x^4 - b)^(1/4)*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b - (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(1/4))/((a^8*b^8 + 4*(a^8 - 3*a^7)*b^7 + 4*(a^8 - 7*a^7 + 11*a^6)*b^6 - 8*(a^7 - 5*a^6 + 6*a^5)*b^5 + 4*(a^6 - 4*a^5 + 4*a^4)*b^4)*x)) - 1/8*sqrt(1/2)*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b + (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(1/4)*log((sqrt(1/2)*((32*a^6*b^6 + 16*(a^7 + a^6 - 11*a^5)*b^5 + 8*(3*a^7 - 17*a^6 + 9*a^5 + 35*a^4)*b^4 - 4*(13*a^6 - 61*a^5 + 49*a^4 + 49*a^3)*b^3 + 2*a^3 + 2*(21*a^5 - 91*a^4 + 83*a^3 + 32*a^2)*b^2 - 8*a^2 - (15*a^4 - 62*a^3 + 60*a^2 + 8*a)*b + 8*a)*x*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) - (4*(a^6 - 4*a^5)*b^5 + 4*(2*a^6 - 17*a^5 + 32*a^4)*b^4 - (32*a^5 - 193*a^4 + 276*a^3)*b^3 + 2*(21*a^4 - 104*a^3 + 126*a^2)*b^2 + 4*a^2 - 2*(11*a^3 - 48*a^2 + 52*a)*b - 16*a + 16)*x)*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b + (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(3/4) + (a^5*b^5 + 2*(a^5 - 3*a^4)*b^4 - 2*(a^4 - 2*a^3)*b^3)*(a*x^4 - b)^(1/4))/x) + 1/8*sqrt(1/2)*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b + (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(1/4)*log(-(sqrt(1/2)*((32*a^6*b^6 + 16*(a^7 + a^6 - 11*a^5)*b^5 + 8*(3*a^7 - 17*a^6 + 9*a^5 + 35*a^4)*b^4 - 4*(13*a^6 - 61*a^5 + 49*a^4 + 49*a^3)*b^3 + 2*a^3 + 2*(21*a^5 - 91*a^4 + 83*a^3 + 32*a^2)*b^2 - 8*a^2 - (15*a^4 - 62*a^3 + 60*a^2 + 8*a)*b + 8*a)*x*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) - (4*(a^6 - 4*a^5)*b^5 + 4*(2*a^6 - 17*a^5 + 32*a^4)*b^4 - (32*a^5 - 193*a^4 + 276*a^3)*b^3 + 2*(21*a^4 - 104*a^3 + 126*a^2)*b^2 + 4*a^2 - 2*(11*a^3 - 48*a^2 + 52*a)*b - 16*a + 16)*x)*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b + (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(3/4) - (a^5*b^5 + 2*(a^5 - 3*a^4)*b^4 - 2*(a^4 - 2*a^3)*b^3)*(a*x^4 - b)^(1/4))/x) + 1/8*sqrt(1/2)*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b - (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(1/4)*log((sqrt(1/2)*((32*a^6*b^6 + 16*(a^7 + a^6 - 11*a^5)*b^5 + 8*(3*a^7 - 17*a^6 + 9*a^5 + 35*a^4)*b^4 - 4*(13*a^6 - 61*a^5 + 49*a^4 + 49*a^3)*b^3 + 2*a^3 + 2*(21*a^5 - 91*a^4 + 83*a^3 + 32*a^2)*b^2 - 8*a^2 - (15*a^4 - 62*a^3 + 60*a^2 + 8*a)*b + 8*a)*x*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + (4*(a^6 - 4*a^5)*b^5 + 4*(2*a^6 - 17*a^5 + 32*a^4)*b^4 - (32*a^5 - 193*a^4 + 276*a^3)*b^3 + 2*(21*a^4 - 104*a^3 + 126*a^2)*b^2 + 4*a^2 - 2*(11*a^3 - 48*a^2 + 52*a)*b - 16*a + 16)*x)*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b - (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(3/4) + (a^5*b^5 + 2*(a^5 - 3*a^4)*b^4 - 2*(a^4 - 2*a^3)*b^3)*(a*x^4 - b)^(1/4))/x) - 1/8*sqrt(1/2)*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b - (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(1/4)*log(-(sqrt(1/2)*((32*a^6*b^6 + 16*(a^7 + a^6 - 11*a^5)*b^5 + 8*(3*a^7 - 17*a^6 + 9*a^5 + 35*a^4)*b^4 - 4*(13*a^6 - 61*a^5 + 49*a^4 + 49*a^3)*b^3 + 2*a^3 + 2*(21*a^5 - 91*a^4 + 83*a^3 + 32*a^2)*b^2 - 8*a^2 - (15*a^4 - 62*a^3 + 60*a^2 + 8*a)*b + 8*a)*x*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + (4*(a^6 - 4*a^5)*b^5 + 4*(2*a^6 - 17*a^5 + 32*a^4)*b^4 - (32*a^5 - 193*a^4 + 276*a^3)*b^3 + 2*(21*a^4 - 104*a^3 + 126*a^2)*b^2 + 4*a^2 - 2*(11*a^3 - 48*a^2 + 52*a)*b - 16*a + 16)*x)*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b - (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(3/4) - (a^5*b^5 + 2*(a^5 - 3*a^4)*b^4 - 2*(a^4 - 2*a^3)*b^3)*(a*x^4 - b)^(1/4))/x) + 1/2*arctan((x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 - b))/x^2)/a^(1/4) - (a*x^4 - b)^(1/4)/a^(1/4))/x)/a^(1/4) + 1/8*log((a^(1/4)*x + (a*x^4 - b)^(1/4))/x)/a^(1/4) - 1/8*log(-(a^(1/4)*x - (a*x^4 - b)^(1/4))/x)/a^(1/4)","B",0
2442,1,10215,0,2.207567," ","integrate((a*x^8-2*x^4+b)/(a*x^4-b)^(1/4)/(2*a*x^8-2*x^4+b),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{\frac{1}{2}} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b + {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{\frac{1}{2}} {\left({\left({\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} x \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} - {\left(2 \, a^{3} b^{3} + {\left(4 \, a^{3} - 13 \, a^{2}\right)} b^{2} - 2 \, {\left(3 \, a^{2} - 7 \, a\right)} b + 2 \, a - 4\right)} x\right)} \sqrt{\frac{{\left(a^{10} b^{10} + 4 \, {\left(a^{10} - 3 \, a^{9}\right)} b^{9} + 4 \, {\left(a^{10} - 7 \, a^{9} + 11 \, a^{8}\right)} b^{8} - 8 \, {\left(a^{9} - 5 \, a^{8} + 6 \, a^{7}\right)} b^{7} + 4 \, {\left(a^{8} - 4 \, a^{7} + 4 \, a^{6}\right)} b^{6}\right)} \sqrt{a x^{4} - b} - {\left({\left(16 \, a^{11} b^{11} + 8 \, {\left(a^{12} + 4 \, a^{11} - 19 \, a^{10}\right)} b^{10} + 4 \, {\left(6 \, a^{12} - 23 \, a^{11} - 28 \, a^{10} + 115 \, a^{9}\right)} b^{9} + 2 \, {\left(8 \, a^{12} - 82 \, a^{11} + 207 \, a^{10} - 4 \, a^{9} - 305 \, a^{8}\right)} b^{8} - {\left(40 \, a^{11} - 306 \, a^{10} + 685 \, a^{9} - 268 \, a^{8} - 400 \, a^{7}\right)} b^{7} + {\left(36 \, a^{10} - 243 \, a^{9} + 514 \, a^{8} - 280 \, a^{7} - 128 \, a^{6}\right)} b^{6} - 2 \, {\left(7 \, a^{9} - 44 \, a^{8} + 90 \, a^{7} - 56 \, a^{6} - 8 \, a^{5}\right)} b^{5} + 2 \, {\left(a^{8} - 6 \, a^{7} + 12 \, a^{6} - 8 \, a^{5}\right)} b^{4}\right)} x^{2} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} - {\left(2 \, {\left(a^{11} - 3 \, a^{10}\right)} b^{10} + {\left(8 \, a^{11} - 51 \, a^{10} + 79 \, a^{9}\right)} b^{9} + {\left(8 \, a^{11} - 92 \, a^{10} + 321 \, a^{9} - 350 \, a^{8}\right)} b^{8} - 4 \, {\left(7 \, a^{10} - 61 \, a^{9} + 171 \, a^{8} - 155 \, a^{7}\right)} b^{7} + 4 \, {\left(9 \, a^{9} - 67 \, a^{8} + 163 \, a^{7} - 130 \, a^{6}\right)} b^{6} - 4 \, {\left(5 \, a^{8} - 33 \, a^{7} + 72 \, a^{6} - 52 \, a^{5}\right)} b^{5} + 4 \, {\left(a^{7} - 6 \, a^{6} + 12 \, a^{5} - 8 \, a^{4}\right)} b^{4}\right)} x^{2}\right)} \sqrt{\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b + {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}}}{x^{2}}} + {\left(2 \, a^{8} b^{8} + {\left(8 \, a^{8} - 25 \, a^{7}\right)} b^{7} + 4 \, {\left(2 \, a^{8} - 15 \, a^{7} + 25 \, a^{6}\right)} b^{6} - 4 \, {\left(5 \, a^{7} - 27 \, a^{6} + 35 \, a^{5}\right)} b^{5} + 8 \, {\left(2 \, a^{6} - 9 \, a^{5} + 10 \, a^{4}\right)} b^{4} - 4 \, {\left(a^{5} - 4 \, a^{4} + 4 \, a^{3}\right)} b^{3} - {\left(8 \, a^{8} b^{8} + 4 \, {\left(a^{9} + 2 \, a^{8} - 14 \, a^{7}\right)} b^{7} + 2 \, {\left(4 \, a^{9} - 22 \, a^{8} + 12 \, a^{7} + 41 \, a^{6}\right)} b^{6} - {\left(16 \, a^{8} - 73 \, a^{7} + 62 \, a^{6} + 44 \, a^{5}\right)} b^{5} + 2 \, {\left(5 \, a^{7} - 21 \, a^{6} + 20 \, a^{5} + 4 \, a^{4}\right)} b^{4} - 2 \, {\left(a^{6} - 4 \, a^{5} + 4 \, a^{4}\right)} b^{3}\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}\right)} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b + {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{1}{4}}}{{\left(a^{8} b^{8} + 4 \, {\left(a^{8} - 3 \, a^{7}\right)} b^{7} + 4 \, {\left(a^{8} - 7 \, a^{7} + 11 \, a^{6}\right)} b^{6} - 8 \, {\left(a^{7} - 5 \, a^{6} + 6 \, a^{5}\right)} b^{5} + 4 \, {\left(a^{6} - 4 \, a^{5} + 4 \, a^{4}\right)} b^{4}\right)} x}\right) + \frac{1}{2} \, \sqrt{\frac{1}{2}} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b - {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{\frac{1}{2}} {\left({\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} x \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + {\left(2 \, a^{3} b^{3} + {\left(4 \, a^{3} - 13 \, a^{2}\right)} b^{2} - 2 \, {\left(3 \, a^{2} - 7 \, a\right)} b + 2 \, a - 4\right)} x\right)} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b - {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{1}{4}} \sqrt{\frac{{\left(a^{10} b^{10} + 4 \, {\left(a^{10} - 3 \, a^{9}\right)} b^{9} + 4 \, {\left(a^{10} - 7 \, a^{9} + 11 \, a^{8}\right)} b^{8} - 8 \, {\left(a^{9} - 5 \, a^{8} + 6 \, a^{7}\right)} b^{7} + 4 \, {\left(a^{8} - 4 \, a^{7} + 4 \, a^{6}\right)} b^{6}\right)} \sqrt{a x^{4} - b} + {\left({\left(16 \, a^{11} b^{11} + 8 \, {\left(a^{12} + 4 \, a^{11} - 19 \, a^{10}\right)} b^{10} + 4 \, {\left(6 \, a^{12} - 23 \, a^{11} - 28 \, a^{10} + 115 \, a^{9}\right)} b^{9} + 2 \, {\left(8 \, a^{12} - 82 \, a^{11} + 207 \, a^{10} - 4 \, a^{9} - 305 \, a^{8}\right)} b^{8} - {\left(40 \, a^{11} - 306 \, a^{10} + 685 \, a^{9} - 268 \, a^{8} - 400 \, a^{7}\right)} b^{7} + {\left(36 \, a^{10} - 243 \, a^{9} + 514 \, a^{8} - 280 \, a^{7} - 128 \, a^{6}\right)} b^{6} - 2 \, {\left(7 \, a^{9} - 44 \, a^{8} + 90 \, a^{7} - 56 \, a^{6} - 8 \, a^{5}\right)} b^{5} + 2 \, {\left(a^{8} - 6 \, a^{7} + 12 \, a^{6} - 8 \, a^{5}\right)} b^{4}\right)} x^{2} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + {\left(2 \, {\left(a^{11} - 3 \, a^{10}\right)} b^{10} + {\left(8 \, a^{11} - 51 \, a^{10} + 79 \, a^{9}\right)} b^{9} + {\left(8 \, a^{11} - 92 \, a^{10} + 321 \, a^{9} - 350 \, a^{8}\right)} b^{8} - 4 \, {\left(7 \, a^{10} - 61 \, a^{9} + 171 \, a^{8} - 155 \, a^{7}\right)} b^{7} + 4 \, {\left(9 \, a^{9} - 67 \, a^{8} + 163 \, a^{7} - 130 \, a^{6}\right)} b^{6} - 4 \, {\left(5 \, a^{8} - 33 \, a^{7} + 72 \, a^{6} - 52 \, a^{5}\right)} b^{5} + 4 \, {\left(a^{7} - 6 \, a^{6} + 12 \, a^{5} - 8 \, a^{4}\right)} b^{4}\right)} x^{2}\right)} \sqrt{\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b - {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}}}{x^{2}}} - \sqrt{\frac{1}{2}} {\left(2 \, a^{8} b^{8} + {\left(8 \, a^{8} - 25 \, a^{7}\right)} b^{7} + 4 \, {\left(2 \, a^{8} - 15 \, a^{7} + 25 \, a^{6}\right)} b^{6} - 4 \, {\left(5 \, a^{7} - 27 \, a^{6} + 35 \, a^{5}\right)} b^{5} + 8 \, {\left(2 \, a^{6} - 9 \, a^{5} + 10 \, a^{4}\right)} b^{4} - 4 \, {\left(a^{5} - 4 \, a^{4} + 4 \, a^{3}\right)} b^{3} + {\left(8 \, a^{8} b^{8} + 4 \, {\left(a^{9} + 2 \, a^{8} - 14 \, a^{7}\right)} b^{7} + 2 \, {\left(4 \, a^{9} - 22 \, a^{8} + 12 \, a^{7} + 41 \, a^{6}\right)} b^{6} - {\left(16 \, a^{8} - 73 \, a^{7} + 62 \, a^{6} + 44 \, a^{5}\right)} b^{5} + 2 \, {\left(5 \, a^{7} - 21 \, a^{6} + 20 \, a^{5} + 4 \, a^{4}\right)} b^{4} - 2 \, {\left(a^{6} - 4 \, a^{5} + 4 \, a^{4}\right)} b^{3}\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b - {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{1}{4}}}{{\left(a^{8} b^{8} + 4 \, {\left(a^{8} - 3 \, a^{7}\right)} b^{7} + 4 \, {\left(a^{8} - 7 \, a^{7} + 11 \, a^{6}\right)} b^{6} - 8 \, {\left(a^{7} - 5 \, a^{6} + 6 \, a^{5}\right)} b^{5} + 4 \, {\left(a^{6} - 4 \, a^{5} + 4 \, a^{4}\right)} b^{4}\right)} x}\right) - \frac{1}{8} \, \sqrt{\frac{1}{2}} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b + {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{1}{4}} \log\left(\frac{\sqrt{\frac{1}{2}} {\left({\left(32 \, a^{6} b^{6} + 16 \, {\left(a^{7} + a^{6} - 11 \, a^{5}\right)} b^{5} + 8 \, {\left(3 \, a^{7} - 17 \, a^{6} + 9 \, a^{5} + 35 \, a^{4}\right)} b^{4} - 4 \, {\left(13 \, a^{6} - 61 \, a^{5} + 49 \, a^{4} + 49 \, a^{3}\right)} b^{3} + 2 \, a^{3} + 2 \, {\left(21 \, a^{5} - 91 \, a^{4} + 83 \, a^{3} + 32 \, a^{2}\right)} b^{2} - 8 \, a^{2} - {\left(15 \, a^{4} - 62 \, a^{3} + 60 \, a^{2} + 8 \, a\right)} b + 8 \, a\right)} x \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} - {\left(4 \, {\left(a^{6} - 4 \, a^{5}\right)} b^{5} + 4 \, {\left(2 \, a^{6} - 17 \, a^{5} + 32 \, a^{4}\right)} b^{4} - {\left(32 \, a^{5} - 193 \, a^{4} + 276 \, a^{3}\right)} b^{3} + 2 \, {\left(21 \, a^{4} - 104 \, a^{3} + 126 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 2 \, {\left(11 \, a^{3} - 48 \, a^{2} + 52 \, a\right)} b - 16 \, a + 16\right)} x\right)} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b + {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{3}{4}} + {\left(a^{5} b^{5} + 2 \, {\left(a^{5} - 3 \, a^{4}\right)} b^{4} - 2 \, {\left(a^{4} - 2 \, a^{3}\right)} b^{3}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{8} \, \sqrt{\frac{1}{2}} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b + {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{1}{4}} \log\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(32 \, a^{6} b^{6} + 16 \, {\left(a^{7} + a^{6} - 11 \, a^{5}\right)} b^{5} + 8 \, {\left(3 \, a^{7} - 17 \, a^{6} + 9 \, a^{5} + 35 \, a^{4}\right)} b^{4} - 4 \, {\left(13 \, a^{6} - 61 \, a^{5} + 49 \, a^{4} + 49 \, a^{3}\right)} b^{3} + 2 \, a^{3} + 2 \, {\left(21 \, a^{5} - 91 \, a^{4} + 83 \, a^{3} + 32 \, a^{2}\right)} b^{2} - 8 \, a^{2} - {\left(15 \, a^{4} - 62 \, a^{3} + 60 \, a^{2} + 8 \, a\right)} b + 8 \, a\right)} x \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} - {\left(4 \, {\left(a^{6} - 4 \, a^{5}\right)} b^{5} + 4 \, {\left(2 \, a^{6} - 17 \, a^{5} + 32 \, a^{4}\right)} b^{4} - {\left(32 \, a^{5} - 193 \, a^{4} + 276 \, a^{3}\right)} b^{3} + 2 \, {\left(21 \, a^{4} - 104 \, a^{3} + 126 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 2 \, {\left(11 \, a^{3} - 48 \, a^{2} + 52 \, a\right)} b - 16 \, a + 16\right)} x\right)} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b + {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{3}{4}} - {\left(a^{5} b^{5} + 2 \, {\left(a^{5} - 3 \, a^{4}\right)} b^{4} - 2 \, {\left(a^{4} - 2 \, a^{3}\right)} b^{3}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{8} \, \sqrt{\frac{1}{2}} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b - {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{1}{4}} \log\left(\frac{\sqrt{\frac{1}{2}} {\left({\left(32 \, a^{6} b^{6} + 16 \, {\left(a^{7} + a^{6} - 11 \, a^{5}\right)} b^{5} + 8 \, {\left(3 \, a^{7} - 17 \, a^{6} + 9 \, a^{5} + 35 \, a^{4}\right)} b^{4} - 4 \, {\left(13 \, a^{6} - 61 \, a^{5} + 49 \, a^{4} + 49 \, a^{3}\right)} b^{3} + 2 \, a^{3} + 2 \, {\left(21 \, a^{5} - 91 \, a^{4} + 83 \, a^{3} + 32 \, a^{2}\right)} b^{2} - 8 \, a^{2} - {\left(15 \, a^{4} - 62 \, a^{3} + 60 \, a^{2} + 8 \, a\right)} b + 8 \, a\right)} x \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + {\left(4 \, {\left(a^{6} - 4 \, a^{5}\right)} b^{5} + 4 \, {\left(2 \, a^{6} - 17 \, a^{5} + 32 \, a^{4}\right)} b^{4} - {\left(32 \, a^{5} - 193 \, a^{4} + 276 \, a^{3}\right)} b^{3} + 2 \, {\left(21 \, a^{4} - 104 \, a^{3} + 126 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 2 \, {\left(11 \, a^{3} - 48 \, a^{2} + 52 \, a\right)} b - 16 \, a + 16\right)} x\right)} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b - {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{3}{4}} + {\left(a^{5} b^{5} + 2 \, {\left(a^{5} - 3 \, a^{4}\right)} b^{4} - 2 \, {\left(a^{4} - 2 \, a^{3}\right)} b^{3}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{8} \, \sqrt{\frac{1}{2}} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b - {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{1}{4}} \log\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(32 \, a^{6} b^{6} + 16 \, {\left(a^{7} + a^{6} - 11 \, a^{5}\right)} b^{5} + 8 \, {\left(3 \, a^{7} - 17 \, a^{6} + 9 \, a^{5} + 35 \, a^{4}\right)} b^{4} - 4 \, {\left(13 \, a^{6} - 61 \, a^{5} + 49 \, a^{4} + 49 \, a^{3}\right)} b^{3} + 2 \, a^{3} + 2 \, {\left(21 \, a^{5} - 91 \, a^{4} + 83 \, a^{3} + 32 \, a^{2}\right)} b^{2} - 8 \, a^{2} - {\left(15 \, a^{4} - 62 \, a^{3} + 60 \, a^{2} + 8 \, a\right)} b + 8 \, a\right)} x \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + {\left(4 \, {\left(a^{6} - 4 \, a^{5}\right)} b^{5} + 4 \, {\left(2 \, a^{6} - 17 \, a^{5} + 32 \, a^{4}\right)} b^{4} - {\left(32 \, a^{5} - 193 \, a^{4} + 276 \, a^{3}\right)} b^{3} + 2 \, {\left(21 \, a^{4} - 104 \, a^{3} + 126 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 2 \, {\left(11 \, a^{3} - 48 \, a^{2} + 52 \, a\right)} b - 16 \, a + 16\right)} x\right)} \left(\frac{{\left(a^{3} - 5 \, a^{2}\right)} b^{2} - 2 \, {\left(2 \, a^{2} - 5 \, a\right)} b - {\left(8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a\right)} \sqrt{-\frac{a^{4} b^{4} + 4 \, {\left(a^{4} - 3 \, a^{3}\right)} b^{3} + 4 \, {\left(a^{4} - 7 \, a^{3} + 11 \, a^{2}\right)} b^{2} + 4 \, a^{2} - 8 \, {\left(a^{3} - 5 \, a^{2} + 6 \, a\right)} b - 16 \, a + 16}{32 \, a^{5} b^{5} + 16 \, {\left(2 \, a^{6} - 4 \, a^{5} - 3 \, a^{4}\right)} b^{4} - a^{4} + 8 \, {\left(a^{7} - 4 \, a^{6} - 2 \, a^{5} + 12 \, a^{4} + 3 \, a^{3}\right)} b^{3} + 4 \, a^{3} - 4 \, {\left(3 \, a^{6} - 12 \, a^{5} + 6 \, a^{4} + 12 \, a^{3} + a^{2}\right)} b^{2} - 4 \, a^{2} + 2 \, {\left(3 \, a^{5} - 12 \, a^{4} + 10 \, a^{3} + 4 \, a^{2}\right)} b}} + 2 \, a - 4}{8 \, a^{3} b^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} - 2 \, a^{2}\right)} b^{2} + a^{2} - 2 \, {\left(2 \, a^{3} - 4 \, a^{2} - a\right)} b - 2 \, a}\right)^{\frac{3}{4}} - {\left(a^{5} b^{5} + 2 \, {\left(a^{5} - 3 \, a^{4}\right)} b^{4} - 2 \, {\left(a^{4} - 2 \, a^{3}\right)} b^{3}\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right) + \frac{\arctan\left(\frac{\frac{x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} - b}}{x^{2}}}}{a^{\frac{1}{4}}} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}}{x}\right)}{2 \, a^{\frac{1}{4}}} + \frac{\log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right)}{8 \, a^{\frac{1}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}\right)}{8 \, a^{\frac{1}{4}}}"," ",0,"-1/2*sqrt(1/2)*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b + (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(1/4)*arctan(sqrt(1/2)*(((8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*x*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) - (2*a^3*b^3 + (4*a^3 - 13*a^2)*b^2 - 2*(3*a^2 - 7*a)*b + 2*a - 4)*x)*sqrt(((a^10*b^10 + 4*(a^10 - 3*a^9)*b^9 + 4*(a^10 - 7*a^9 + 11*a^8)*b^8 - 8*(a^9 - 5*a^8 + 6*a^7)*b^7 + 4*(a^8 - 4*a^7 + 4*a^6)*b^6)*sqrt(a*x^4 - b) - ((16*a^11*b^11 + 8*(a^12 + 4*a^11 - 19*a^10)*b^10 + 4*(6*a^12 - 23*a^11 - 28*a^10 + 115*a^9)*b^9 + 2*(8*a^12 - 82*a^11 + 207*a^10 - 4*a^9 - 305*a^8)*b^8 - (40*a^11 - 306*a^10 + 685*a^9 - 268*a^8 - 400*a^7)*b^7 + (36*a^10 - 243*a^9 + 514*a^8 - 280*a^7 - 128*a^6)*b^6 - 2*(7*a^9 - 44*a^8 + 90*a^7 - 56*a^6 - 8*a^5)*b^5 + 2*(a^8 - 6*a^7 + 12*a^6 - 8*a^5)*b^4)*x^2*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) - (2*(a^11 - 3*a^10)*b^10 + (8*a^11 - 51*a^10 + 79*a^9)*b^9 + (8*a^11 - 92*a^10 + 321*a^9 - 350*a^8)*b^8 - 4*(7*a^10 - 61*a^9 + 171*a^8 - 155*a^7)*b^7 + 4*(9*a^9 - 67*a^8 + 163*a^7 - 130*a^6)*b^6 - 4*(5*a^8 - 33*a^7 + 72*a^6 - 52*a^5)*b^5 + 4*(a^7 - 6*a^6 + 12*a^5 - 8*a^4)*b^4)*x^2)*sqrt(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b + (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)))/x^2) + (2*a^8*b^8 + (8*a^8 - 25*a^7)*b^7 + 4*(2*a^8 - 15*a^7 + 25*a^6)*b^6 - 4*(5*a^7 - 27*a^6 + 35*a^5)*b^5 + 8*(2*a^6 - 9*a^5 + 10*a^4)*b^4 - 4*(a^5 - 4*a^4 + 4*a^3)*b^3 - (8*a^8*b^8 + 4*(a^9 + 2*a^8 - 14*a^7)*b^7 + 2*(4*a^9 - 22*a^8 + 12*a^7 + 41*a^6)*b^6 - (16*a^8 - 73*a^7 + 62*a^6 + 44*a^5)*b^5 + 2*(5*a^7 - 21*a^6 + 20*a^5 + 4*a^4)*b^4 - 2*(a^6 - 4*a^5 + 4*a^4)*b^3)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)))*(a*x^4 - b)^(1/4))*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b + (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(1/4)/((a^8*b^8 + 4*(a^8 - 3*a^7)*b^7 + 4*(a^8 - 7*a^7 + 11*a^6)*b^6 - 8*(a^7 - 5*a^6 + 6*a^5)*b^5 + 4*(a^6 - 4*a^5 + 4*a^4)*b^4)*x)) + 1/2*sqrt(1/2)*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b - (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(1/4)*arctan((sqrt(1/2)*((8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*x*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + (2*a^3*b^3 + (4*a^3 - 13*a^2)*b^2 - 2*(3*a^2 - 7*a)*b + 2*a - 4)*x)*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b - (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(1/4)*sqrt(((a^10*b^10 + 4*(a^10 - 3*a^9)*b^9 + 4*(a^10 - 7*a^9 + 11*a^8)*b^8 - 8*(a^9 - 5*a^8 + 6*a^7)*b^7 + 4*(a^8 - 4*a^7 + 4*a^6)*b^6)*sqrt(a*x^4 - b) + ((16*a^11*b^11 + 8*(a^12 + 4*a^11 - 19*a^10)*b^10 + 4*(6*a^12 - 23*a^11 - 28*a^10 + 115*a^9)*b^9 + 2*(8*a^12 - 82*a^11 + 207*a^10 - 4*a^9 - 305*a^8)*b^8 - (40*a^11 - 306*a^10 + 685*a^9 - 268*a^8 - 400*a^7)*b^7 + (36*a^10 - 243*a^9 + 514*a^8 - 280*a^7 - 128*a^6)*b^6 - 2*(7*a^9 - 44*a^8 + 90*a^7 - 56*a^6 - 8*a^5)*b^5 + 2*(a^8 - 6*a^7 + 12*a^6 - 8*a^5)*b^4)*x^2*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + (2*(a^11 - 3*a^10)*b^10 + (8*a^11 - 51*a^10 + 79*a^9)*b^9 + (8*a^11 - 92*a^10 + 321*a^9 - 350*a^8)*b^8 - 4*(7*a^10 - 61*a^9 + 171*a^8 - 155*a^7)*b^7 + 4*(9*a^9 - 67*a^8 + 163*a^7 - 130*a^6)*b^6 - 4*(5*a^8 - 33*a^7 + 72*a^6 - 52*a^5)*b^5 + 4*(a^7 - 6*a^6 + 12*a^5 - 8*a^4)*b^4)*x^2)*sqrt(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b - (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)))/x^2) - sqrt(1/2)*(2*a^8*b^8 + (8*a^8 - 25*a^7)*b^7 + 4*(2*a^8 - 15*a^7 + 25*a^6)*b^6 - 4*(5*a^7 - 27*a^6 + 35*a^5)*b^5 + 8*(2*a^6 - 9*a^5 + 10*a^4)*b^4 - 4*(a^5 - 4*a^4 + 4*a^3)*b^3 + (8*a^8*b^8 + 4*(a^9 + 2*a^8 - 14*a^7)*b^7 + 2*(4*a^9 - 22*a^8 + 12*a^7 + 41*a^6)*b^6 - (16*a^8 - 73*a^7 + 62*a^6 + 44*a^5)*b^5 + 2*(5*a^7 - 21*a^6 + 20*a^5 + 4*a^4)*b^4 - 2*(a^6 - 4*a^5 + 4*a^4)*b^3)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)))*(a*x^4 - b)^(1/4)*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b - (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(1/4))/((a^8*b^8 + 4*(a^8 - 3*a^7)*b^7 + 4*(a^8 - 7*a^7 + 11*a^6)*b^6 - 8*(a^7 - 5*a^6 + 6*a^5)*b^5 + 4*(a^6 - 4*a^5 + 4*a^4)*b^4)*x)) - 1/8*sqrt(1/2)*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b + (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(1/4)*log((sqrt(1/2)*((32*a^6*b^6 + 16*(a^7 + a^6 - 11*a^5)*b^5 + 8*(3*a^7 - 17*a^6 + 9*a^5 + 35*a^4)*b^4 - 4*(13*a^6 - 61*a^5 + 49*a^4 + 49*a^3)*b^3 + 2*a^3 + 2*(21*a^5 - 91*a^4 + 83*a^3 + 32*a^2)*b^2 - 8*a^2 - (15*a^4 - 62*a^3 + 60*a^2 + 8*a)*b + 8*a)*x*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) - (4*(a^6 - 4*a^5)*b^5 + 4*(2*a^6 - 17*a^5 + 32*a^4)*b^4 - (32*a^5 - 193*a^4 + 276*a^3)*b^3 + 2*(21*a^4 - 104*a^3 + 126*a^2)*b^2 + 4*a^2 - 2*(11*a^3 - 48*a^2 + 52*a)*b - 16*a + 16)*x)*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b + (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(3/4) + (a^5*b^5 + 2*(a^5 - 3*a^4)*b^4 - 2*(a^4 - 2*a^3)*b^3)*(a*x^4 - b)^(1/4))/x) + 1/8*sqrt(1/2)*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b + (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(1/4)*log(-(sqrt(1/2)*((32*a^6*b^6 + 16*(a^7 + a^6 - 11*a^5)*b^5 + 8*(3*a^7 - 17*a^6 + 9*a^5 + 35*a^4)*b^4 - 4*(13*a^6 - 61*a^5 + 49*a^4 + 49*a^3)*b^3 + 2*a^3 + 2*(21*a^5 - 91*a^4 + 83*a^3 + 32*a^2)*b^2 - 8*a^2 - (15*a^4 - 62*a^3 + 60*a^2 + 8*a)*b + 8*a)*x*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) - (4*(a^6 - 4*a^5)*b^5 + 4*(2*a^6 - 17*a^5 + 32*a^4)*b^4 - (32*a^5 - 193*a^4 + 276*a^3)*b^3 + 2*(21*a^4 - 104*a^3 + 126*a^2)*b^2 + 4*a^2 - 2*(11*a^3 - 48*a^2 + 52*a)*b - 16*a + 16)*x)*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b + (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(3/4) - (a^5*b^5 + 2*(a^5 - 3*a^4)*b^4 - 2*(a^4 - 2*a^3)*b^3)*(a*x^4 - b)^(1/4))/x) + 1/8*sqrt(1/2)*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b - (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(1/4)*log((sqrt(1/2)*((32*a^6*b^6 + 16*(a^7 + a^6 - 11*a^5)*b^5 + 8*(3*a^7 - 17*a^6 + 9*a^5 + 35*a^4)*b^4 - 4*(13*a^6 - 61*a^5 + 49*a^4 + 49*a^3)*b^3 + 2*a^3 + 2*(21*a^5 - 91*a^4 + 83*a^3 + 32*a^2)*b^2 - 8*a^2 - (15*a^4 - 62*a^3 + 60*a^2 + 8*a)*b + 8*a)*x*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + (4*(a^6 - 4*a^5)*b^5 + 4*(2*a^6 - 17*a^5 + 32*a^4)*b^4 - (32*a^5 - 193*a^4 + 276*a^3)*b^3 + 2*(21*a^4 - 104*a^3 + 126*a^2)*b^2 + 4*a^2 - 2*(11*a^3 - 48*a^2 + 52*a)*b - 16*a + 16)*x)*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b - (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(3/4) + (a^5*b^5 + 2*(a^5 - 3*a^4)*b^4 - 2*(a^4 - 2*a^3)*b^3)*(a*x^4 - b)^(1/4))/x) - 1/8*sqrt(1/2)*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b - (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(1/4)*log(-(sqrt(1/2)*((32*a^6*b^6 + 16*(a^7 + a^6 - 11*a^5)*b^5 + 8*(3*a^7 - 17*a^6 + 9*a^5 + 35*a^4)*b^4 - 4*(13*a^6 - 61*a^5 + 49*a^4 + 49*a^3)*b^3 + 2*a^3 + 2*(21*a^5 - 91*a^4 + 83*a^3 + 32*a^2)*b^2 - 8*a^2 - (15*a^4 - 62*a^3 + 60*a^2 + 8*a)*b + 8*a)*x*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + (4*(a^6 - 4*a^5)*b^5 + 4*(2*a^6 - 17*a^5 + 32*a^4)*b^4 - (32*a^5 - 193*a^4 + 276*a^3)*b^3 + 2*(21*a^4 - 104*a^3 + 126*a^2)*b^2 + 4*a^2 - 2*(11*a^3 - 48*a^2 + 52*a)*b - 16*a + 16)*x)*(((a^3 - 5*a^2)*b^2 - 2*(2*a^2 - 5*a)*b - (8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a)*sqrt(-(a^4*b^4 + 4*(a^4 - 3*a^3)*b^3 + 4*(a^4 - 7*a^3 + 11*a^2)*b^2 + 4*a^2 - 8*(a^3 - 5*a^2 + 6*a)*b - 16*a + 16)/(32*a^5*b^5 + 16*(2*a^6 - 4*a^5 - 3*a^4)*b^4 - a^4 + 8*(a^7 - 4*a^6 - 2*a^5 + 12*a^4 + 3*a^3)*b^3 + 4*a^3 - 4*(3*a^6 - 12*a^5 + 6*a^4 + 12*a^3 + a^2)*b^2 - 4*a^2 + 2*(3*a^5 - 12*a^4 + 10*a^3 + 4*a^2)*b)) + 2*a - 4)/(8*a^3*b^3 + 4*(a^4 - 2*a^3 - 2*a^2)*b^2 + a^2 - 2*(2*a^3 - 4*a^2 - a)*b - 2*a))^(3/4) - (a^5*b^5 + 2*(a^5 - 3*a^4)*b^4 - 2*(a^4 - 2*a^3)*b^3)*(a*x^4 - b)^(1/4))/x) + 1/2*arctan((x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 - b))/x^2)/a^(1/4) - (a*x^4 - b)^(1/4)/a^(1/4))/x)/a^(1/4) + 1/8*log((a^(1/4)*x + (a*x^4 - b)^(1/4))/x)/a^(1/4) - 1/8*log(-(a^(1/4)*x - (a*x^4 - b)^(1/4))/x)/a^(1/4)","B",0
2443,-1,0,0,0.000000," ","integrate((2*a*x^8+c*x^4-b)/(a*x^4-b)^(1/4)/(a*x^8-c*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2444,-1,0,0,0.000000," ","integrate((2*a*x^8+c*x^4-b)/(a*x^4-b)^(1/4)/(a*x^8-c*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2445,1,390,0,0.521934," ","integrate((a*x^4-b*x^3)^(1/4)*(c*x^8-d)/x^4,x, algorithm=""fricas"")","\frac{263340 \, \left(\frac{b^{24} c^{4}}{a^{23}}\right)^{\frac{1}{4}} a^{5} b^{2} x^{3} \arctan\left(-\frac{\left(\frac{b^{24} c^{4}}{a^{23}}\right)^{\frac{3}{4}} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} a^{17} b^{6} c - \left(\frac{b^{24} c^{4}}{a^{23}}\right)^{\frac{3}{4}} a^{17} x \sqrt{\frac{\sqrt{a x^{4} - b x^{3}} b^{12} c^{2} + \sqrt{\frac{b^{24} c^{4}}{a^{23}}} a^{12} x^{2}}{x^{2}}}}{b^{24} c^{4} x}\right) - 65835 \, \left(\frac{b^{24} c^{4}}{a^{23}}\right)^{\frac{1}{4}} a^{5} b^{2} x^{3} \log\left(\frac{1463 \, {\left({\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} b^{6} c + \left(\frac{b^{24} c^{4}}{a^{23}}\right)^{\frac{1}{4}} a^{6} x\right)}}{x}\right) + 65835 \, \left(\frac{b^{24} c^{4}}{a^{23}}\right)^{\frac{1}{4}} a^{5} b^{2} x^{3} \log\left(\frac{1463 \, {\left({\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} b^{6} c - \left(\frac{b^{24} c^{4}}{a^{23}}\right)^{\frac{1}{4}} a^{6} x\right)}}{x}\right) + 4 \, {\left(122880 \, a^{5} b^{2} c x^{8} - 6144 \, a^{4} b^{3} c x^{7} - 7296 \, a^{3} b^{4} c x^{6} - 9120 \, a^{2} b^{5} c x^{5} - 12540 \, a b^{6} c x^{4} - 21945 \, b^{7} c x^{3} - 262144 \, a^{7} d x^{2} - 65536 \, a^{6} b d x + 327680 \, a^{5} b^{2} d\right)} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{2949120 \, a^{5} b^{2} x^{3}}"," ",0,"1/2949120*(263340*(b^24*c^4/a^23)^(1/4)*a^5*b^2*x^3*arctan(-((b^24*c^4/a^23)^(3/4)*(a*x^4 - b*x^3)^(1/4)*a^17*b^6*c - (b^24*c^4/a^23)^(3/4)*a^17*x*sqrt((sqrt(a*x^4 - b*x^3)*b^12*c^2 + sqrt(b^24*c^4/a^23)*a^12*x^2)/x^2))/(b^24*c^4*x)) - 65835*(b^24*c^4/a^23)^(1/4)*a^5*b^2*x^3*log(1463*((a*x^4 - b*x^3)^(1/4)*b^6*c + (b^24*c^4/a^23)^(1/4)*a^6*x)/x) + 65835*(b^24*c^4/a^23)^(1/4)*a^5*b^2*x^3*log(1463*((a*x^4 - b*x^3)^(1/4)*b^6*c - (b^24*c^4/a^23)^(1/4)*a^6*x)/x) + 4*(122880*a^5*b^2*c*x^8 - 6144*a^4*b^3*c*x^7 - 7296*a^3*b^4*c*x^6 - 9120*a^2*b^5*c*x^5 - 12540*a*b^6*c*x^4 - 21945*b^7*c*x^3 - 262144*a^7*d*x^2 - 65536*a^6*b*d*x + 327680*a^5*b^2*d)*(a*x^4 - b*x^3)^(1/4))/(a^5*b^2*x^3)","B",0
2446,-1,0,0,0.000000," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/x^6,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2447,-1,0,0,0.000000," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/x^6/(a*x^2+b^2)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2448,1,94,0,0.745094," ","integrate((d+(c+(a*x+b)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{8 \, {\left(16 \, d^{4} - 36 \, c d^{2} + 28 \, c^{2} - 35 \, a x + {\left(6 \, d^{2} - 7 \, c\right)} \sqrt{a x + b} - {\left(8 \, d^{3} - 16 \, c d + 5 \, \sqrt{a x + b} d\right)} \sqrt{c + \sqrt{a x + b}} - 35 \, b\right)} \sqrt{d + \sqrt{c + \sqrt{a x + b}}}}{315 \, a}"," ",0,"-8/315*(16*d^4 - 36*c*d^2 + 28*c^2 - 35*a*x + (6*d^2 - 7*c)*sqrt(a*x + b) - (8*d^3 - 16*c*d + 5*sqrt(a*x + b)*d)*sqrt(c + sqrt(a*x + b)) - 35*b)*sqrt(d + sqrt(c + sqrt(a*x + b)))/a","A",0
2449,-1,0,0,0.000000," ","integrate(1/(a*x^2-b)/(x^3-x)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2450,1,855,0,0.613847," ","integrate(1/x^3/(x^3-1)/(x^3+x^2)^(1/3),x, algorithm=""fricas"")","\frac{40 \, x^{4} \cos\left(\frac{1}{9} \, \pi\right) \log\left(\frac{16 \, {\left(x^{2} - {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) + 2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x\right)} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - 160 \, x^{4} \arctan\left(\frac{8 \, {\left(2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{3} - x \cos\left(\frac{1}{9} \, \pi\right)\right)} \sin\left(\frac{1}{9} \, \pi\right) + \sqrt{3} x + 2 \, {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right)^{2} + 2 \, x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3} x\right)} \sqrt{\frac{x^{2} - {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) + 2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x\right)} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} \cos\left(\frac{1}{9} \, \pi\right)^{2} + 2 \, \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3}\right)}}{16 \, x \cos\left(\frac{1}{9} \, \pi\right)^{4} - 16 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} + 3 \, x}\right) \sin\left(\frac{1}{9} \, \pi\right) + 20 \, \sqrt{6} 2^{\frac{1}{6}} x^{4} \arctan\left(\frac{2^{\frac{1}{6}} {\left(\sqrt{6} 2^{\frac{1}{3}} x + 2 \, \sqrt{6} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}\right)}}{6 \, x}\right) + 20 \cdot 2^{\frac{2}{3}} x^{4} \log\left(-\frac{2^{\frac{1}{3}} x - {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) - 10 \cdot 2^{\frac{2}{3}} x^{4} \log\left(\frac{2^{\frac{2}{3}} x^{2} + 2^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) + 80 \, {\left(\sqrt{3} x^{4} \cos\left(\frac{1}{9} \, \pi\right) + x^{4} \sin\left(\frac{1}{9} \, \pi\right)\right)} \arctan\left(\frac{8 \, {\left(2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{3} - x \cos\left(\frac{1}{9} \, \pi\right)\right)} \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3} x - 2 \, {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right)^{2} - 2 \, x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3} x\right)} \sqrt{\frac{x^{2} + {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - 2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} + x\right)} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 2 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} \cos\left(\frac{1}{9} \, \pi\right)^{2} - 2 \, \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3}\right)}}{16 \, x \cos\left(\frac{1}{9} \, \pi\right)^{4} - 16 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} + 3 \, x}\right) - 80 \, {\left(\sqrt{3} x^{4} \cos\left(\frac{1}{9} \, \pi\right) - x^{4} \sin\left(\frac{1}{9} \, \pi\right)\right)} \arctan\left(-\frac{2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x \sqrt{\frac{x^{2} + 2 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x\right)} + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - x + {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{2 \, x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right)}\right) + 20 \, {\left(\sqrt{3} x^{4} \sin\left(\frac{1}{9} \, \pi\right) - x^{4} \cos\left(\frac{1}{9} \, \pi\right)\right)} \log\left(\frac{64 \, {\left(x^{2} + {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - 2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} + x\right)} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - 20 \, {\left(\sqrt{3} x^{4} \sin\left(\frac{1}{9} \, \pi\right) + x^{4} \cos\left(\frac{1}{9} \, \pi\right)\right)} \log\left(\frac{64 \, {\left(x^{2} + 2 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x\right)} + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + 9 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}} {\left(9 \, x^{2} - 6 \, x + 5\right)}}{120 \, x^{4}}"," ",0,"1/120*(40*x^4*cos(1/9*pi)*log(16*(x^2 - (2*sqrt(3)*x*cos(1/9*pi)*sin(1/9*pi) + 2*x*cos(1/9*pi)^2 - x)*(x^3 + x^2)^(1/3) + (x^3 + x^2)^(2/3))/x^2) - 160*x^4*arctan((8*(2*x*cos(1/9*pi)^3 - x*cos(1/9*pi))*sin(1/9*pi) + sqrt(3)*x + 2*(2*sqrt(3)*x*cos(1/9*pi)^2 + 2*x*cos(1/9*pi)*sin(1/9*pi) - sqrt(3)*x)*sqrt((x^2 - (2*sqrt(3)*x*cos(1/9*pi)*sin(1/9*pi) + 2*x*cos(1/9*pi)^2 - x)*(x^3 + x^2)^(1/3) + (x^3 + x^2)^(2/3))/x^2) - 2*(x^3 + x^2)^(1/3)*(2*sqrt(3)*cos(1/9*pi)^2 + 2*cos(1/9*pi)*sin(1/9*pi) - sqrt(3)))/(16*x*cos(1/9*pi)^4 - 16*x*cos(1/9*pi)^2 + 3*x))*sin(1/9*pi) + 20*sqrt(6)*2^(1/6)*x^4*arctan(1/6*2^(1/6)*(sqrt(6)*2^(1/3)*x + 2*sqrt(6)*(x^3 + x^2)^(1/3))/x) + 20*2^(2/3)*x^4*log(-(2^(1/3)*x - (x^3 + x^2)^(1/3))/x) - 10*2^(2/3)*x^4*log((2^(2/3)*x^2 + 2^(1/3)*(x^3 + x^2)^(1/3)*x + (x^3 + x^2)^(2/3))/x^2) + 80*(sqrt(3)*x^4*cos(1/9*pi) + x^4*sin(1/9*pi))*arctan((8*(2*x*cos(1/9*pi)^3 - x*cos(1/9*pi))*sin(1/9*pi) - sqrt(3)*x - 2*(2*sqrt(3)*x*cos(1/9*pi)^2 - 2*x*cos(1/9*pi)*sin(1/9*pi) - sqrt(3)*x)*sqrt((x^2 + (2*sqrt(3)*x*cos(1/9*pi)*sin(1/9*pi) - 2*x*cos(1/9*pi)^2 + x)*(x^3 + x^2)^(1/3) + (x^3 + x^2)^(2/3))/x^2) + 2*(x^3 + x^2)^(1/3)*(2*sqrt(3)*cos(1/9*pi)^2 - 2*cos(1/9*pi)*sin(1/9*pi) - sqrt(3)))/(16*x*cos(1/9*pi)^4 - 16*x*cos(1/9*pi)^2 + 3*x)) - 80*(sqrt(3)*x^4*cos(1/9*pi) - x^4*sin(1/9*pi))*arctan(-1/2*(2*x*cos(1/9*pi)^2 - x*sqrt((x^2 + 2*(x^3 + x^2)^(1/3)*(2*x*cos(1/9*pi)^2 - x) + (x^3 + x^2)^(2/3))/x^2) - x + (x^3 + x^2)^(1/3))/(x*cos(1/9*pi)*sin(1/9*pi))) + 20*(sqrt(3)*x^4*sin(1/9*pi) - x^4*cos(1/9*pi))*log(64*(x^2 + (2*sqrt(3)*x*cos(1/9*pi)*sin(1/9*pi) - 2*x*cos(1/9*pi)^2 + x)*(x^3 + x^2)^(1/3) + (x^3 + x^2)^(2/3))/x^2) - 20*(sqrt(3)*x^4*sin(1/9*pi) + x^4*cos(1/9*pi))*log(64*(x^2 + 2*(x^3 + x^2)^(1/3)*(2*x*cos(1/9*pi)^2 - x) + (x^3 + x^2)^(2/3))/x^2) + 9*(x^3 + x^2)^(2/3)*(9*x^2 - 6*x + 5))/x^4","B",0
2451,1,855,0,0.894713," ","integrate(1/x^3/(x^3-1)/(x^3+x^2)^(1/3),x, algorithm=""fricas"")","\frac{40 \, x^{4} \cos\left(\frac{1}{9} \, \pi\right) \log\left(\frac{16 \, {\left(x^{2} - {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) + 2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x\right)} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - 160 \, x^{4} \arctan\left(\frac{8 \, {\left(2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{3} - x \cos\left(\frac{1}{9} \, \pi\right)\right)} \sin\left(\frac{1}{9} \, \pi\right) + \sqrt{3} x + 2 \, {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right)^{2} + 2 \, x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3} x\right)} \sqrt{\frac{x^{2} - {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) + 2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x\right)} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} \cos\left(\frac{1}{9} \, \pi\right)^{2} + 2 \, \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3}\right)}}{16 \, x \cos\left(\frac{1}{9} \, \pi\right)^{4} - 16 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} + 3 \, x}\right) \sin\left(\frac{1}{9} \, \pi\right) + 20 \, \sqrt{6} 2^{\frac{1}{6}} x^{4} \arctan\left(\frac{2^{\frac{1}{6}} {\left(\sqrt{6} 2^{\frac{1}{3}} x + 2 \, \sqrt{6} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}\right)}}{6 \, x}\right) + 20 \cdot 2^{\frac{2}{3}} x^{4} \log\left(-\frac{2^{\frac{1}{3}} x - {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) - 10 \cdot 2^{\frac{2}{3}} x^{4} \log\left(\frac{2^{\frac{2}{3}} x^{2} + 2^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) + 80 \, {\left(\sqrt{3} x^{4} \cos\left(\frac{1}{9} \, \pi\right) + x^{4} \sin\left(\frac{1}{9} \, \pi\right)\right)} \arctan\left(\frac{8 \, {\left(2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{3} - x \cos\left(\frac{1}{9} \, \pi\right)\right)} \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3} x - 2 \, {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right)^{2} - 2 \, x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3} x\right)} \sqrt{\frac{x^{2} + {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - 2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} + x\right)} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 2 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} \cos\left(\frac{1}{9} \, \pi\right)^{2} - 2 \, \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3}\right)}}{16 \, x \cos\left(\frac{1}{9} \, \pi\right)^{4} - 16 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} + 3 \, x}\right) - 80 \, {\left(\sqrt{3} x^{4} \cos\left(\frac{1}{9} \, \pi\right) - x^{4} \sin\left(\frac{1}{9} \, \pi\right)\right)} \arctan\left(-\frac{2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x \sqrt{\frac{x^{2} + 2 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x\right)} + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - x + {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{2 \, x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right)}\right) + 20 \, {\left(\sqrt{3} x^{4} \sin\left(\frac{1}{9} \, \pi\right) - x^{4} \cos\left(\frac{1}{9} \, \pi\right)\right)} \log\left(\frac{64 \, {\left(x^{2} + {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - 2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} + x\right)} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - 20 \, {\left(\sqrt{3} x^{4} \sin\left(\frac{1}{9} \, \pi\right) + x^{4} \cos\left(\frac{1}{9} \, \pi\right)\right)} \log\left(\frac{64 \, {\left(x^{2} + 2 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x\right)} + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + 9 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}} {\left(9 \, x^{2} - 6 \, x + 5\right)}}{120 \, x^{4}}"," ",0,"1/120*(40*x^4*cos(1/9*pi)*log(16*(x^2 - (2*sqrt(3)*x*cos(1/9*pi)*sin(1/9*pi) + 2*x*cos(1/9*pi)^2 - x)*(x^3 + x^2)^(1/3) + (x^3 + x^2)^(2/3))/x^2) - 160*x^4*arctan((8*(2*x*cos(1/9*pi)^3 - x*cos(1/9*pi))*sin(1/9*pi) + sqrt(3)*x + 2*(2*sqrt(3)*x*cos(1/9*pi)^2 + 2*x*cos(1/9*pi)*sin(1/9*pi) - sqrt(3)*x)*sqrt((x^2 - (2*sqrt(3)*x*cos(1/9*pi)*sin(1/9*pi) + 2*x*cos(1/9*pi)^2 - x)*(x^3 + x^2)^(1/3) + (x^3 + x^2)^(2/3))/x^2) - 2*(x^3 + x^2)^(1/3)*(2*sqrt(3)*cos(1/9*pi)^2 + 2*cos(1/9*pi)*sin(1/9*pi) - sqrt(3)))/(16*x*cos(1/9*pi)^4 - 16*x*cos(1/9*pi)^2 + 3*x))*sin(1/9*pi) + 20*sqrt(6)*2^(1/6)*x^4*arctan(1/6*2^(1/6)*(sqrt(6)*2^(1/3)*x + 2*sqrt(6)*(x^3 + x^2)^(1/3))/x) + 20*2^(2/3)*x^4*log(-(2^(1/3)*x - (x^3 + x^2)^(1/3))/x) - 10*2^(2/3)*x^4*log((2^(2/3)*x^2 + 2^(1/3)*(x^3 + x^2)^(1/3)*x + (x^3 + x^2)^(2/3))/x^2) + 80*(sqrt(3)*x^4*cos(1/9*pi) + x^4*sin(1/9*pi))*arctan((8*(2*x*cos(1/9*pi)^3 - x*cos(1/9*pi))*sin(1/9*pi) - sqrt(3)*x - 2*(2*sqrt(3)*x*cos(1/9*pi)^2 - 2*x*cos(1/9*pi)*sin(1/9*pi) - sqrt(3)*x)*sqrt((x^2 + (2*sqrt(3)*x*cos(1/9*pi)*sin(1/9*pi) - 2*x*cos(1/9*pi)^2 + x)*(x^3 + x^2)^(1/3) + (x^3 + x^2)^(2/3))/x^2) + 2*(x^3 + x^2)^(1/3)*(2*sqrt(3)*cos(1/9*pi)^2 - 2*cos(1/9*pi)*sin(1/9*pi) - sqrt(3)))/(16*x*cos(1/9*pi)^4 - 16*x*cos(1/9*pi)^2 + 3*x)) - 80*(sqrt(3)*x^4*cos(1/9*pi) - x^4*sin(1/9*pi))*arctan(-1/2*(2*x*cos(1/9*pi)^2 - x*sqrt((x^2 + 2*(x^3 + x^2)^(1/3)*(2*x*cos(1/9*pi)^2 - x) + (x^3 + x^2)^(2/3))/x^2) - x + (x^3 + x^2)^(1/3))/(x*cos(1/9*pi)*sin(1/9*pi))) + 20*(sqrt(3)*x^4*sin(1/9*pi) - x^4*cos(1/9*pi))*log(64*(x^2 + (2*sqrt(3)*x*cos(1/9*pi)*sin(1/9*pi) - 2*x*cos(1/9*pi)^2 + x)*(x^3 + x^2)^(1/3) + (x^3 + x^2)^(2/3))/x^2) - 20*(sqrt(3)*x^4*sin(1/9*pi) + x^4*cos(1/9*pi))*log(64*(x^2 + 2*(x^3 + x^2)^(1/3)*(2*x*cos(1/9*pi)^2 - x) + (x^3 + x^2)^(2/3))/x^2) + 9*(x^3 + x^2)^(2/3)*(9*x^2 - 6*x + 5))/x^4","B",0
2452,-1,0,0,0.000000," ","integrate(1/x^6/(a*x^3-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2453,-1,0,0,0.000000," ","integrate(1/x^6/(a*x^3-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2454,1,536,0,0.695606," ","integrate((x^2-1)*(x^2+x+1)*(x^4+3*x^2+1)^(1/2)/(x^4+x^3+x^2+x+1)^2,x, algorithm=""fricas"")","-\frac{\sqrt{5} {\left(x^{4} + x^{3} + x^{2} + x + 1\right)} \sqrt{-8 \, \sqrt{5} + 20} \log\left(-\frac{10 \, \sqrt{x^{4} + 3 \, x^{2} + 1} {\left(2 \, x^{2} + \sqrt{5} x + x + 2\right)} + {\left(5 \, x^{4} + 10 \, x^{3} + 20 \, x^{2} + \sqrt{5} {\left(x^{4} + 6 \, x^{3} + 6 \, x^{2} + 6 \, x + 1\right)} + 10 \, x + 5\right)} \sqrt{-8 \, \sqrt{5} + 20}}{x^{4} + x^{3} + x^{2} + x + 1}\right) - \sqrt{5} {\left(x^{4} + x^{3} + x^{2} + x + 1\right)} \sqrt{-8 \, \sqrt{5} + 20} \log\left(-\frac{10 \, \sqrt{x^{4} + 3 \, x^{2} + 1} {\left(2 \, x^{2} + \sqrt{5} x + x + 2\right)} - {\left(5 \, x^{4} + 10 \, x^{3} + 20 \, x^{2} + \sqrt{5} {\left(x^{4} + 6 \, x^{3} + 6 \, x^{2} + 6 \, x + 1\right)} + 10 \, x + 5\right)} \sqrt{-8 \, \sqrt{5} + 20}}{x^{4} + x^{3} + x^{2} + x + 1}\right) - 2 \, \sqrt{5} {\left(x^{4} + x^{3} + x^{2} + x + 1\right)} \sqrt{2 \, \sqrt{5} + 5} \log\left(-\frac{2 \, {\left(5 \, \sqrt{x^{4} + 3 \, x^{2} + 1} {\left(2 \, x^{2} - \sqrt{5} x + x + 2\right)} + {\left(5 \, x^{4} + 10 \, x^{3} + 20 \, x^{2} - \sqrt{5} {\left(x^{4} + 6 \, x^{3} + 6 \, x^{2} + 6 \, x + 1\right)} + 10 \, x + 5\right)} \sqrt{2 \, \sqrt{5} + 5}\right)}}{x^{4} + x^{3} + x^{2} + x + 1}\right) + 2 \, \sqrt{5} {\left(x^{4} + x^{3} + x^{2} + x + 1\right)} \sqrt{2 \, \sqrt{5} + 5} \log\left(-\frac{2 \, {\left(5 \, \sqrt{x^{4} + 3 \, x^{2} + 1} {\left(2 \, x^{2} - \sqrt{5} x + x + 2\right)} - {\left(5 \, x^{4} + 10 \, x^{3} + 20 \, x^{2} - \sqrt{5} {\left(x^{4} + 6 \, x^{3} + 6 \, x^{2} + 6 \, x + 1\right)} + 10 \, x + 5\right)} \sqrt{2 \, \sqrt{5} + 5}\right)}}{x^{4} + x^{3} + x^{2} + x + 1}\right) + 20 \, \sqrt{x^{4} + 3 \, x^{2} + 1} {\left(x^{2} + 3 \, x + 1\right)}}{100 \, {\left(x^{4} + x^{3} + x^{2} + x + 1\right)}}"," ",0,"-1/100*(sqrt(5)*(x^4 + x^3 + x^2 + x + 1)*sqrt(-8*sqrt(5) + 20)*log(-(10*sqrt(x^4 + 3*x^2 + 1)*(2*x^2 + sqrt(5)*x + x + 2) + (5*x^4 + 10*x^3 + 20*x^2 + sqrt(5)*(x^4 + 6*x^3 + 6*x^2 + 6*x + 1) + 10*x + 5)*sqrt(-8*sqrt(5) + 20))/(x^4 + x^3 + x^2 + x + 1)) - sqrt(5)*(x^4 + x^3 + x^2 + x + 1)*sqrt(-8*sqrt(5) + 20)*log(-(10*sqrt(x^4 + 3*x^2 + 1)*(2*x^2 + sqrt(5)*x + x + 2) - (5*x^4 + 10*x^3 + 20*x^2 + sqrt(5)*(x^4 + 6*x^3 + 6*x^2 + 6*x + 1) + 10*x + 5)*sqrt(-8*sqrt(5) + 20))/(x^4 + x^3 + x^2 + x + 1)) - 2*sqrt(5)*(x^4 + x^3 + x^2 + x + 1)*sqrt(2*sqrt(5) + 5)*log(-2*(5*sqrt(x^4 + 3*x^2 + 1)*(2*x^2 - sqrt(5)*x + x + 2) + (5*x^4 + 10*x^3 + 20*x^2 - sqrt(5)*(x^4 + 6*x^3 + 6*x^2 + 6*x + 1) + 10*x + 5)*sqrt(2*sqrt(5) + 5))/(x^4 + x^3 + x^2 + x + 1)) + 2*sqrt(5)*(x^4 + x^3 + x^2 + x + 1)*sqrt(2*sqrt(5) + 5)*log(-2*(5*sqrt(x^4 + 3*x^2 + 1)*(2*x^2 - sqrt(5)*x + x + 2) - (5*x^4 + 10*x^3 + 20*x^2 - sqrt(5)*(x^4 + 6*x^3 + 6*x^2 + 6*x + 1) + 10*x + 5)*sqrt(2*sqrt(5) + 5))/(x^4 + x^3 + x^2 + x + 1)) + 20*sqrt(x^4 + 3*x^2 + 1)*(x^2 + 3*x + 1))/(x^4 + x^3 + x^2 + x + 1)","B",0
2455,-1,0,0,0.000000," ","integrate((a*x^4+b)/(a*x^4-b)/(a^2*x^8+c*x^4+b^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2456,1,86,0,0.490337," ","integrate((-x^9+2*x^4)/(x^5-1)^(1/2)/(x^10-a*x^5+a),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{x^{10} + 2 \, \sqrt{x^{5} - 1} \sqrt{a} x^{5} + a x^{5} - a}{x^{10} - a x^{5} + a}\right)}{5 \, \sqrt{a}}, -\frac{2 \, \sqrt{-a} \arctan\left(\frac{\sqrt{x^{5} - 1} \sqrt{-a} x^{5}}{a x^{5} - a}\right)}{5 \, a}\right]"," ",0,"[1/5*log((x^10 + 2*sqrt(x^5 - 1)*sqrt(a)*x^5 + a*x^5 - a)/(x^10 - a*x^5 + a))/sqrt(a), -2/5*sqrt(-a)*arctan(sqrt(x^5 - 1)*sqrt(-a)*x^5/(a*x^5 - a))/a]","A",0
2457,1,287,0,0.564125," ","integrate((x^2+1)/(x^2-1)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{2}{3} \, {\left(x^{2} - \sqrt{x^{2} + 1} x - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}} - 4 \, \sqrt{\sqrt{2} + 1} \arctan\left(\sqrt{x + \sqrt{2} + \sqrt{x^{2} + 1} - 1} \sqrt{\sqrt{2} + 1} - \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{2} + 1}\right) + 4 \, \sqrt{\sqrt{2} - 1} \arctan\left(\sqrt{x + \sqrt{2} + \sqrt{x^{2} + 1} + 1} \sqrt{\sqrt{2} - 1} - \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{2} - 1}\right) - \sqrt{\sqrt{2} - 1} \log\left(2 \, {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) + \sqrt{\sqrt{2} - 1} \log\left(-2 \, {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) + \sqrt{\sqrt{2} + 1} \log\left(2 \, \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) - \sqrt{\sqrt{2} + 1} \log\left(-2 \, \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}}\right)"," ",0,"-2/3*(x^2 - sqrt(x^2 + 1)*x - 1)*sqrt(x + sqrt(x^2 + 1)) - 4*sqrt(sqrt(2) + 1)*arctan(sqrt(x + sqrt(2) + sqrt(x^2 + 1) - 1)*sqrt(sqrt(2) + 1) - sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(2) + 1)) + 4*sqrt(sqrt(2) - 1)*arctan(sqrt(x + sqrt(2) + sqrt(x^2 + 1) + 1)*sqrt(sqrt(2) - 1) - sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(2) - 1)) - sqrt(sqrt(2) - 1)*log(2*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + 2*sqrt(x + sqrt(x^2 + 1))) + sqrt(sqrt(2) - 1)*log(-2*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + 2*sqrt(x + sqrt(x^2 + 1))) + sqrt(sqrt(2) + 1)*log(2*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) + 2*sqrt(x + sqrt(x^2 + 1))) - sqrt(sqrt(2) + 1)*log(-2*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) + 2*sqrt(x + sqrt(x^2 + 1)))","B",0
2458,-2,0,0,0.000000," ","integrate((c*x^2+d)/(c*x^2-d)/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> the translation of the FriCAS object sage2 to sage is not yet implemented","F(-2)",0
2459,-2,0,0,0.000000," ","integrate((c*x^2+d)/(c*x^2-d)/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> the translation of the FriCAS object sage2 to sage is not yet implemented","F(-2)",0
2460,-1,0,0,0.000000," ","integrate(1/x^6/(a*x^3+b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2461,-1,0,0,0.000000," ","integrate(1/x^6/(a*x^3+b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2462,-1,0,0,0.000000," ","integrate((p*x^2-q)*(a*p*x^2+a*q+b*x)*(p^2*x^4+q^2)^(1/2)/x^3/(c*p*x^2+c*q+d*x),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2463,1,344,0,76.580579," ","integrate(x*(7*x^4+3)/(x^4+1)^(1/3)/(x^7+x^3-4),x, algorithm=""fricas"")","-\frac{1}{6} \cdot 4^{\frac{1}{6}} \sqrt{3} \arctan\left(\frac{4^{\frac{1}{6}} \sqrt{3} {\left(6 \cdot 4^{\frac{2}{3}} {\left(x^{16} + 2 \, x^{12} + 4 \, x^{9} + x^{8} + 4 \, x^{5} - 32 \, x^{2}\right)} {\left(x^{4} + 1\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} {\left(x^{21} + 3 \, x^{17} + 60 \, x^{14} + 3 \, x^{13} + 120 \, x^{10} + x^{9} + 192 \, x^{7} + 60 \, x^{6} + 192 \, x^{3} - 64\right)} + 24 \, {\left(x^{15} + 2 \, x^{11} + 28 \, x^{8} + x^{7} + 28 \, x^{4} + 16 \, x\right)} {\left(x^{4} + 1\right)}^{\frac{1}{3}}\right)}}{6 \, {\left(x^{21} + 3 \, x^{17} - 12 \, x^{14} + 3 \, x^{13} - 24 \, x^{10} + x^{9} - 384 \, x^{7} - 12 \, x^{6} - 384 \, x^{3} - 64\right)}}\right) + \frac{1}{12} \cdot 4^{\frac{2}{3}} \log\left(-\frac{12 \, {\left(x^{4} + 1\right)}^{\frac{2}{3}} x^{2} - 4^{\frac{2}{3}} {\left(x^{7} + x^{3} - 4\right)} - 12 \cdot 4^{\frac{1}{3}} {\left(x^{4} + 1\right)}^{\frac{1}{3}} x}{x^{7} + x^{3} - 4}\right) - \frac{1}{24} \cdot 4^{\frac{2}{3}} \log\left(\frac{3 \cdot 4^{\frac{2}{3}} {\left(x^{9} + x^{5} + 8 \, x^{2}\right)} {\left(x^{4} + 1\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} {\left(x^{14} + 2 \, x^{10} + 28 \, x^{7} + x^{6} + 28 \, x^{3} + 16\right)} + 24 \, {\left(x^{8} + x^{4} + 2 \, x\right)} {\left(x^{4} + 1\right)}^{\frac{1}{3}}}{x^{14} + 2 \, x^{10} - 8 \, x^{7} + x^{6} - 8 \, x^{3} + 16}\right)"," ",0,"-1/6*4^(1/6)*sqrt(3)*arctan(1/6*4^(1/6)*sqrt(3)*(6*4^(2/3)*(x^16 + 2*x^12 + 4*x^9 + x^8 + 4*x^5 - 32*x^2)*(x^4 + 1)^(2/3) + 4^(1/3)*(x^21 + 3*x^17 + 60*x^14 + 3*x^13 + 120*x^10 + x^9 + 192*x^7 + 60*x^6 + 192*x^3 - 64) + 24*(x^15 + 2*x^11 + 28*x^8 + x^7 + 28*x^4 + 16*x)*(x^4 + 1)^(1/3))/(x^21 + 3*x^17 - 12*x^14 + 3*x^13 - 24*x^10 + x^9 - 384*x^7 - 12*x^6 - 384*x^3 - 64)) + 1/12*4^(2/3)*log(-(12*(x^4 + 1)^(2/3)*x^2 - 4^(2/3)*(x^7 + x^3 - 4) - 12*4^(1/3)*(x^4 + 1)^(1/3)*x)/(x^7 + x^3 - 4)) - 1/24*4^(2/3)*log((3*4^(2/3)*(x^9 + x^5 + 8*x^2)*(x^4 + 1)^(2/3) + 4^(1/3)*(x^14 + 2*x^10 + 28*x^7 + x^6 + 28*x^3 + 16) + 24*(x^8 + x^4 + 2*x)*(x^4 + 1)^(1/3))/(x^14 + 2*x^10 - 8*x^7 + x^6 - 8*x^3 + 16))","B",0
2464,-2,0,0,0.000000," ","integrate((c*x^2-d)/(c*x^2+d)/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> the translation of the FriCAS object sage2 to sage is not yet implemented","F(-2)",0
2465,-2,0,0,0.000000," ","integrate((c*x^2-d)/(c*x^2+d)/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> the translation of the FriCAS object sage2 to sage is not yet implemented","F(-2)",0
2466,1,323,0,0.514791," ","integrate((a^2*x^2-b*x)^(1/2)/(a*x^2+x*(a^2*x^2-b*x)^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{9 \, \sqrt{2} \sqrt{a} b^{2} x \log\left(-\frac{4 \, a^{2} x^{2} + 4 \, \sqrt{a^{2} x^{2} - b x} a x - b x - 2 \, {\left(\sqrt{2} a^{\frac{3}{2}} x + \sqrt{2} \sqrt{a^{2} x^{2} - b x} \sqrt{a}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x}}{x}\right) - 4 \, {\left(8 \, a^{4} x^{2} - 19 \, a^{2} b x - {\left(8 \, a^{3} x - 9 \, a b\right)} \sqrt{a^{2} x^{2} - b x}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x}}{48 \, a^{2} b x}, \frac{9 \, \sqrt{2} \sqrt{-a} b^{2} x \arctan\left(\frac{\sqrt{2} \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x} \sqrt{-a}}{2 \, a x}\right) - 2 \, {\left(8 \, a^{4} x^{2} - 19 \, a^{2} b x - {\left(8 \, a^{3} x - 9 \, a b\right)} \sqrt{a^{2} x^{2} - b x}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x}}{24 \, a^{2} b x}\right]"," ",0,"[1/48*(9*sqrt(2)*sqrt(a)*b^2*x*log(-(4*a^2*x^2 + 4*sqrt(a^2*x^2 - b*x)*a*x - b*x - 2*(sqrt(2)*a^(3/2)*x + sqrt(2)*sqrt(a^2*x^2 - b*x)*sqrt(a))*sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x))/x) - 4*(8*a^4*x^2 - 19*a^2*b*x - (8*a^3*x - 9*a*b)*sqrt(a^2*x^2 - b*x))*sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x))/(a^2*b*x), 1/24*(9*sqrt(2)*sqrt(-a)*b^2*x*arctan(1/2*sqrt(2)*sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x)*sqrt(-a)/(a*x)) - 2*(8*a^4*x^2 - 19*a^2*b*x - (8*a^3*x - 9*a*b)*sqrt(a^2*x^2 - b*x))*sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x))/(a^2*b*x)]","A",0
2467,-1,0,0,0.000000," ","integrate((a-2*b+x)/((-a+x)*(-b+x))^(1/3)/(a^2+b*d-(2*a+d)*x+x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2468,-1,0,0,0.000000," ","integrate((-a*(a-2*b)-2*b*x+x^2)/((-a+x)*(-b+x))^(2/3)/(b+a^2*d-(2*a*d+1)*x+d*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2469,-1,0,0,0.000000," ","integrate((-1+(2-k)*x)/((1-x)*x*(-k*x+1))^(1/3)/(1-(b+2*k)*x+(k^2+b)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2470,-1,0,0,0.000000," ","integrate((-3*k-2*(k^2+1)*x+k*(k^2+1)*x^2+4*k^2*x^3+k^3*x^4)/((-x^2+1)*(-k^2*x^2+1))^(2/3)/(-1+d-(2+d)*k*x-(k^2+d)*x^2+d*k*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2471,1,1049,0,28.102349," ","integrate((2*x^4-1)/(x^4+1)^(1/4)/(x^8+x^4-1),x, algorithm=""fricas"")","\frac{1}{20} \, \sqrt{10} \sqrt{5 \, \sqrt{5} - 11} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{10} {\left(5 \, x^{6} + 10 \, x^{2} + \sqrt{5} {\left(3 \, x^{6} + 4 \, x^{2}\right)}\right)} \sqrt{x^{4} + 1} + \sqrt{10} {\left(15 \, x^{8} + 25 \, x^{4} + \sqrt{5} {\left(5 \, x^{8} + 11 \, x^{4} + 3\right)} + 5\right)}\right)} \sqrt{5 \, \sqrt{5} - 11} \sqrt{\sqrt{5} + 1} + 4 \, {\left(\sqrt{10} {\left(5 \, x^{5} + \sqrt{5} {\left(3 \, x^{5} + 4 \, x\right)} + 10 \, x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + \sqrt{10} {\left(10 \, x^{7} + 15 \, x^{3} + \sqrt{5} {\left(4 \, x^{7} + 7 \, x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}\right)} \sqrt{5 \, \sqrt{5} - 11}}{40 \, {\left(x^{8} + x^{4} - 1\right)}}\right) - \frac{1}{20} \, \sqrt{10} \sqrt{5 \, \sqrt{5} + 11} \arctan\left(-\frac{\sqrt{2} {\left(2 \, \sqrt{10} {\left(5 \, x^{6} + 10 \, x^{2} - \sqrt{5} {\left(3 \, x^{6} + 4 \, x^{2}\right)}\right)} \sqrt{x^{4} + 1} - \sqrt{10} {\left(15 \, x^{8} + 25 \, x^{4} - \sqrt{5} {\left(5 \, x^{8} + 11 \, x^{4} + 3\right)} + 5\right)}\right)} \sqrt{5 \, \sqrt{5} + 11} \sqrt{\sqrt{5} - 1} - 4 \, {\left(\sqrt{10} {\left(5 \, x^{5} - \sqrt{5} {\left(3 \, x^{5} + 4 \, x\right)} + 10 \, x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} - \sqrt{10} {\left(10 \, x^{7} + 15 \, x^{3} - \sqrt{5} {\left(4 \, x^{7} + 7 \, x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}\right)} \sqrt{5 \, \sqrt{5} + 11}}{40 \, {\left(x^{8} + x^{4} - 1\right)}}\right) - \frac{1}{80} \, \sqrt{10} \sqrt{5 \, \sqrt{5} - 11} \log\left(\frac{10 \, {\left(2 \, x^{5} + \sqrt{5} x + x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + {\left(\sqrt{10} {\left(10 \, x^{6} + 15 \, x^{2} + \sqrt{5} {\left(4 \, x^{6} + 7 \, x^{2}\right)}\right)} \sqrt{x^{4} + 1} + \sqrt{10} {\left(10 \, x^{8} + 20 \, x^{4} + \sqrt{5} {\left(5 \, x^{8} + 9 \, x^{4} + 2\right)} + 5\right)}\right)} \sqrt{5 \, \sqrt{5} - 11} + 10 \, {\left(x^{7} + 3 \, x^{3} + \sqrt{5} {\left(x^{7} + x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x^{8} + x^{4} - 1}\right) + \frac{1}{80} \, \sqrt{10} \sqrt{5 \, \sqrt{5} - 11} \log\left(\frac{10 \, {\left(2 \, x^{5} + \sqrt{5} x + x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} - {\left(\sqrt{10} {\left(10 \, x^{6} + 15 \, x^{2} + \sqrt{5} {\left(4 \, x^{6} + 7 \, x^{2}\right)}\right)} \sqrt{x^{4} + 1} + \sqrt{10} {\left(10 \, x^{8} + 20 \, x^{4} + \sqrt{5} {\left(5 \, x^{8} + 9 \, x^{4} + 2\right)} + 5\right)}\right)} \sqrt{5 \, \sqrt{5} - 11} + 10 \, {\left(x^{7} + 3 \, x^{3} + \sqrt{5} {\left(x^{7} + x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x^{8} + x^{4} - 1}\right) + \frac{1}{80} \, \sqrt{10} \sqrt{5 \, \sqrt{5} + 11} \log\left(\frac{10 \, {\left(2 \, x^{5} - \sqrt{5} x + x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} + {\left(\sqrt{10} {\left(10 \, x^{6} + 15 \, x^{2} - \sqrt{5} {\left(4 \, x^{6} + 7 \, x^{2}\right)}\right)} \sqrt{x^{4} + 1} - \sqrt{10} {\left(10 \, x^{8} + 20 \, x^{4} - \sqrt{5} {\left(5 \, x^{8} + 9 \, x^{4} + 2\right)} + 5\right)}\right)} \sqrt{5 \, \sqrt{5} + 11} - 10 \, {\left(x^{7} + 3 \, x^{3} - \sqrt{5} {\left(x^{7} + x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x^{8} + x^{4} - 1}\right) - \frac{1}{80} \, \sqrt{10} \sqrt{5 \, \sqrt{5} + 11} \log\left(\frac{10 \, {\left(2 \, x^{5} - \sqrt{5} x + x\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} - {\left(\sqrt{10} {\left(10 \, x^{6} + 15 \, x^{2} - \sqrt{5} {\left(4 \, x^{6} + 7 \, x^{2}\right)}\right)} \sqrt{x^{4} + 1} - \sqrt{10} {\left(10 \, x^{8} + 20 \, x^{4} - \sqrt{5} {\left(5 \, x^{8} + 9 \, x^{4} + 2\right)} + 5\right)}\right)} \sqrt{5 \, \sqrt{5} + 11} - 10 \, {\left(x^{7} + 3 \, x^{3} - \sqrt{5} {\left(x^{7} + x^{3}\right)}\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x^{8} + x^{4} - 1}\right)"," ",0,"1/20*sqrt(10)*sqrt(5*sqrt(5) - 11)*arctan(1/40*(sqrt(2)*(2*sqrt(10)*(5*x^6 + 10*x^2 + sqrt(5)*(3*x^6 + 4*x^2))*sqrt(x^4 + 1) + sqrt(10)*(15*x^8 + 25*x^4 + sqrt(5)*(5*x^8 + 11*x^4 + 3) + 5))*sqrt(5*sqrt(5) - 11)*sqrt(sqrt(5) + 1) + 4*(sqrt(10)*(5*x^5 + sqrt(5)*(3*x^5 + 4*x) + 10*x)*(x^4 + 1)^(3/4) + sqrt(10)*(10*x^7 + 15*x^3 + sqrt(5)*(4*x^7 + 7*x^3))*(x^4 + 1)^(1/4))*sqrt(5*sqrt(5) - 11))/(x^8 + x^4 - 1)) - 1/20*sqrt(10)*sqrt(5*sqrt(5) + 11)*arctan(-1/40*(sqrt(2)*(2*sqrt(10)*(5*x^6 + 10*x^2 - sqrt(5)*(3*x^6 + 4*x^2))*sqrt(x^4 + 1) - sqrt(10)*(15*x^8 + 25*x^4 - sqrt(5)*(5*x^8 + 11*x^4 + 3) + 5))*sqrt(5*sqrt(5) + 11)*sqrt(sqrt(5) - 1) - 4*(sqrt(10)*(5*x^5 - sqrt(5)*(3*x^5 + 4*x) + 10*x)*(x^4 + 1)^(3/4) - sqrt(10)*(10*x^7 + 15*x^3 - sqrt(5)*(4*x^7 + 7*x^3))*(x^4 + 1)^(1/4))*sqrt(5*sqrt(5) + 11))/(x^8 + x^4 - 1)) - 1/80*sqrt(10)*sqrt(5*sqrt(5) - 11)*log((10*(2*x^5 + sqrt(5)*x + x)*(x^4 + 1)^(3/4) + (sqrt(10)*(10*x^6 + 15*x^2 + sqrt(5)*(4*x^6 + 7*x^2))*sqrt(x^4 + 1) + sqrt(10)*(10*x^8 + 20*x^4 + sqrt(5)*(5*x^8 + 9*x^4 + 2) + 5))*sqrt(5*sqrt(5) - 11) + 10*(x^7 + 3*x^3 + sqrt(5)*(x^7 + x^3))*(x^4 + 1)^(1/4))/(x^8 + x^4 - 1)) + 1/80*sqrt(10)*sqrt(5*sqrt(5) - 11)*log((10*(2*x^5 + sqrt(5)*x + x)*(x^4 + 1)^(3/4) - (sqrt(10)*(10*x^6 + 15*x^2 + sqrt(5)*(4*x^6 + 7*x^2))*sqrt(x^4 + 1) + sqrt(10)*(10*x^8 + 20*x^4 + sqrt(5)*(5*x^8 + 9*x^4 + 2) + 5))*sqrt(5*sqrt(5) - 11) + 10*(x^7 + 3*x^3 + sqrt(5)*(x^7 + x^3))*(x^4 + 1)^(1/4))/(x^8 + x^4 - 1)) + 1/80*sqrt(10)*sqrt(5*sqrt(5) + 11)*log((10*(2*x^5 - sqrt(5)*x + x)*(x^4 + 1)^(3/4) + (sqrt(10)*(10*x^6 + 15*x^2 - sqrt(5)*(4*x^6 + 7*x^2))*sqrt(x^4 + 1) - sqrt(10)*(10*x^8 + 20*x^4 - sqrt(5)*(5*x^8 + 9*x^4 + 2) + 5))*sqrt(5*sqrt(5) + 11) - 10*(x^7 + 3*x^3 - sqrt(5)*(x^7 + x^3))*(x^4 + 1)^(1/4))/(x^8 + x^4 - 1)) - 1/80*sqrt(10)*sqrt(5*sqrt(5) + 11)*log((10*(2*x^5 - sqrt(5)*x + x)*(x^4 + 1)^(3/4) - (sqrt(10)*(10*x^6 + 15*x^2 - sqrt(5)*(4*x^6 + 7*x^2))*sqrt(x^4 + 1) - sqrt(10)*(10*x^8 + 20*x^4 - sqrt(5)*(5*x^8 + 9*x^4 + 2) + 5))*sqrt(5*sqrt(5) + 11) - 10*(x^7 + 3*x^3 - sqrt(5)*(x^7 + x^3))*(x^4 + 1)^(1/4))/(x^8 + x^4 - 1))","B",0
2472,-1,0,0,0.000000," ","integrate((-2*x+(1+k)*x^2)*(a-a*(1+k)*x+(a*k+1)*x^2)/(-1+x)/((1-x)*x*(-k*x+1))^(2/3)/(k*x-1)/(b-b*(1+k)*x+(b*k-1)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2473,-1,0,0,0.000000," ","integrate((-3*k+2*(k^2+1)*x+k*(k^2+1)*x^2-4*k^2*x^3+k^3*x^4)/((-x^2+1)*(-k^2*x^2+1))^(2/3)/(1-d-(2+d)*k*x+(k^2+d)*x^2+d*k*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2474,-2,0,0,0.000000," ","integrate((x^3-x)^(1/3)*(a*x^6-b)/(c*x^6-d),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
2475,-2,0,0,0.000000," ","integrate((x^3-x)^(1/3)*(a*x^6-b)/(c*x^6-d),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
2476,-1,0,0,0.000000," ","integrate(1/(1-x*(a*x^2+b*x+c)^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2477,1,2150,0,0.715004," ","integrate((a*x^2-b)/(2*a*x^2-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","\frac{4 \, \sqrt{3} a \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} x \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x - 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} - 2 \, a b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x\right)} \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{2} - 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} - 2 \, a b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x^{2}\right)} \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + \sqrt{3} x - 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}}}{3 \, x}\right) + 4 \, \sqrt{3} a \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} x \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x + 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} - 2 \, a b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x\right)} \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{2} + 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} - 2 \, a b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x^{2}\right)} \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + \sqrt{3} x - 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}}}{3 \, x}\right) + 2 \, a \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}} \log\left(-\frac{{\left(a^{3} x - 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} - 2 \, a b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x\right)} \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + 2 \, a \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}} \log\left(-\frac{{\left(a^{3} x + 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} - 2 \, a b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x\right)} \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - a \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x - 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} - 2 \, a b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x\right)} \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{2} - 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} - 2 \, a b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x^{2}\right)} \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - a \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x + 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} - 2 \, a b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x\right)} \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{2} + 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} - 2 \, a b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x^{2}\right)} \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - 4 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} a x + 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{3 \, a x}\right) - 4 \, \log\left(-\frac{a x - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + 2 \, \log\left(\frac{a^{2} x^{2} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} a x + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{8 \, a}"," ",0,"1/8*(4*sqrt(3)*a*(-(2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 - 2*b^3))^(1/3)*arctan(1/3*(2*sqrt(3)*x*(-(2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 - 2*b^3))^(1/3)*sqrt(((a^3*x^3 + b^2*x^2)^(1/3)*(a^3*x - 2*sqrt(1/2)*(a^6 - 2*a*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6))*x)*(-(2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 - 2*b^3))^(2/3) - (a^3*x^2 - 2*sqrt(1/2)*(a^6 - 2*a*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6))*x^2)*(-(2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 - 2*b^3))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) + sqrt(3)*x - 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3)*(-(2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 - 2*b^3))^(1/3))/x) + 4*sqrt(3)*a*((2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 - 2*b^3))^(1/3)*arctan(1/3*(2*sqrt(3)*x*((2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 - 2*b^3))^(1/3)*sqrt(((a^3*x^3 + b^2*x^2)^(1/3)*(a^3*x + 2*sqrt(1/2)*(a^6 - 2*a*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6))*x)*((2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 - 2*b^3))^(2/3) - (a^3*x^2 + 2*sqrt(1/2)*(a^6 - 2*a*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6))*x^2)*((2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 - 2*b^3))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) + sqrt(3)*x - 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3)*((2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 - 2*b^3))^(1/3))/x) + 2*a*(-(2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 - 2*b^3))^(1/3)*log(-((a^3*x - 2*sqrt(1/2)*(a^6 - 2*a*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6))*x)*(-(2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 - 2*b^3))^(2/3) - (a^3*x^3 + b^2*x^2)^(1/3))/x) + 2*a*((2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 - 2*b^3))^(1/3)*log(-((a^3*x + 2*sqrt(1/2)*(a^6 - 2*a*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6))*x)*((2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 - 2*b^3))^(2/3) - (a^3*x^3 + b^2*x^2)^(1/3))/x) - a*(-(2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 - 2*b^3))^(1/3)*log(((a^3*x^3 + b^2*x^2)^(1/3)*(a^3*x - 2*sqrt(1/2)*(a^6 - 2*a*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6))*x)*(-(2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 - 2*b^3))^(2/3) - (a^3*x^2 - 2*sqrt(1/2)*(a^6 - 2*a*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6))*x^2)*(-(2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 - 2*b^3))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - a*((2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 - 2*b^3))^(1/3)*log(((a^3*x^3 + b^2*x^2)^(1/3)*(a^3*x + 2*sqrt(1/2)*(a^6 - 2*a*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6))*x)*((2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 - 2*b^3))^(2/3) - (a^3*x^2 + 2*sqrt(1/2)*(a^6 - 2*a*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6))*x^2)*((2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 - 2*b^3))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - 4*sqrt(3)*arctan(1/3*(sqrt(3)*a*x + 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3))/(a*x)) - 4*log(-(a*x - (a^3*x^3 + b^2*x^2)^(1/3))/x) + 2*log((a^2*x^2 + (a^3*x^3 + b^2*x^2)^(1/3)*a*x + (a^3*x^3 + b^2*x^2)^(2/3))/x^2))/a","B",0
2478,1,2150,0,0.653438," ","integrate((a*x^2-b)/(2*a*x^2-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","\frac{4 \, \sqrt{3} a \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} x \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x - 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} - 2 \, a b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x\right)} \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{2} - 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} - 2 \, a b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x^{2}\right)} \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + \sqrt{3} x - 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}}}{3 \, x}\right) + 4 \, \sqrt{3} a \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} x \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x + 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} - 2 \, a b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x\right)} \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{2} + 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} - 2 \, a b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x^{2}\right)} \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + \sqrt{3} x - 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}}}{3 \, x}\right) + 2 \, a \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}} \log\left(-\frac{{\left(a^{3} x - 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} - 2 \, a b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x\right)} \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + 2 \, a \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}} \log\left(-\frac{{\left(a^{3} x + 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} - 2 \, a b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x\right)} \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - a \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x - 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} - 2 \, a b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x\right)} \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{2} - 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} - 2 \, a b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x^{2}\right)} \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - a \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x + 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} - 2 \, a b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x\right)} \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{2} + 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} - 2 \, a b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x^{2}\right)} \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} - 2 \, b^{3}\right)} \sqrt{\frac{b^{3}}{a^{11} - 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} - 2 \, b^{3}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - 4 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} a x + 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{3 \, a x}\right) - 4 \, \log\left(-\frac{a x - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + 2 \, \log\left(\frac{a^{2} x^{2} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} a x + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{8 \, a}"," ",0,"1/8*(4*sqrt(3)*a*(-(2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 - 2*b^3))^(1/3)*arctan(1/3*(2*sqrt(3)*x*(-(2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 - 2*b^3))^(1/3)*sqrt(((a^3*x^3 + b^2*x^2)^(1/3)*(a^3*x - 2*sqrt(1/2)*(a^6 - 2*a*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6))*x)*(-(2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 - 2*b^3))^(2/3) - (a^3*x^2 - 2*sqrt(1/2)*(a^6 - 2*a*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6))*x^2)*(-(2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 - 2*b^3))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) + sqrt(3)*x - 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3)*(-(2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 - 2*b^3))^(1/3))/x) + 4*sqrt(3)*a*((2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 - 2*b^3))^(1/3)*arctan(1/3*(2*sqrt(3)*x*((2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 - 2*b^3))^(1/3)*sqrt(((a^3*x^3 + b^2*x^2)^(1/3)*(a^3*x + 2*sqrt(1/2)*(a^6 - 2*a*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6))*x)*((2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 - 2*b^3))^(2/3) - (a^3*x^2 + 2*sqrt(1/2)*(a^6 - 2*a*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6))*x^2)*((2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 - 2*b^3))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) + sqrt(3)*x - 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3)*((2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 - 2*b^3))^(1/3))/x) + 2*a*(-(2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 - 2*b^3))^(1/3)*log(-((a^3*x - 2*sqrt(1/2)*(a^6 - 2*a*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6))*x)*(-(2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 - 2*b^3))^(2/3) - (a^3*x^3 + b^2*x^2)^(1/3))/x) + 2*a*((2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 - 2*b^3))^(1/3)*log(-((a^3*x + 2*sqrt(1/2)*(a^6 - 2*a*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6))*x)*((2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 - 2*b^3))^(2/3) - (a^3*x^3 + b^2*x^2)^(1/3))/x) - a*(-(2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 - 2*b^3))^(1/3)*log(((a^3*x^3 + b^2*x^2)^(1/3)*(a^3*x - 2*sqrt(1/2)*(a^6 - 2*a*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6))*x)*(-(2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 - 2*b^3))^(2/3) - (a^3*x^2 - 2*sqrt(1/2)*(a^6 - 2*a*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6))*x^2)*(-(2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 - 2*b^3))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - a*((2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 - 2*b^3))^(1/3)*log(((a^3*x^3 + b^2*x^2)^(1/3)*(a^3*x + 2*sqrt(1/2)*(a^6 - 2*a*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6))*x)*((2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 - 2*b^3))^(2/3) - (a^3*x^2 + 2*sqrt(1/2)*(a^6 - 2*a*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6))*x^2)*((2*sqrt(1/2)*(a^5 - 2*b^3)*sqrt(b^3/(a^11 - 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 - 2*b^3))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - 4*sqrt(3)*arctan(1/3*(sqrt(3)*a*x + 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3))/(a*x)) - 4*log(-(a*x - (a^3*x^3 + b^2*x^2)^(1/3))/x) + 2*log((a^2*x^2 + (a^3*x^3 + b^2*x^2)^(1/3)*a*x + (a^3*x^3 + b^2*x^2)^(2/3))/x^2))/a","B",0
2479,1,2180,0,0.577192," ","integrate((a*x^2+b)/(2*a*x^2+b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","\frac{4 \, \sqrt{3} a \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} x \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x - 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} + 2 \, a b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x\right)} \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{2} - 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} + 2 \, a b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x^{2}\right)} \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + \sqrt{3} x - 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}}}{3 \, x}\right) + 4 \, \sqrt{3} a \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} x \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x + 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} + 2 \, a b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x\right)} \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{2} + 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} + 2 \, a b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x^{2}\right)} \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + \sqrt{3} x - 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}}}{3 \, x}\right) + 2 \, a \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}} \log\left(-\frac{{\left(a^{3} x - 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} + 2 \, a b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x\right)} \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + 2 \, a \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}} \log\left(-\frac{{\left(a^{3} x + 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} + 2 \, a b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x\right)} \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - a \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x - 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} + 2 \, a b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x\right)} \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{2} - 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} + 2 \, a b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x^{2}\right)} \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - a \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x + 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} + 2 \, a b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x\right)} \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{2} + 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} + 2 \, a b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x^{2}\right)} \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - 4 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} a x + 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{3 \, a x}\right) - 4 \, \log\left(-\frac{a x - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + 2 \, \log\left(\frac{a^{2} x^{2} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} a x + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{8 \, a}"," ",0,"1/8*(4*sqrt(3)*a*(-(2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 + 2*b^3))^(1/3)*arctan(1/3*(2*sqrt(3)*x*(-(2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 + 2*b^3))^(1/3)*sqrt(((a^3*x^3 + b^2*x^2)^(1/3)*(a^3*x - 2*sqrt(1/2)*(a^6 + 2*a*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6))*x)*(-(2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 + 2*b^3))^(2/3) - (a^3*x^2 - 2*sqrt(1/2)*(a^6 + 2*a*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6))*x^2)*(-(2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 + 2*b^3))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) + sqrt(3)*x - 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3)*(-(2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 + 2*b^3))^(1/3))/x) + 4*sqrt(3)*a*((2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 + 2*b^3))^(1/3)*arctan(1/3*(2*sqrt(3)*x*((2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 + 2*b^3))^(1/3)*sqrt(((a^3*x^3 + b^2*x^2)^(1/3)*(a^3*x + 2*sqrt(1/2)*(a^6 + 2*a*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6))*x)*((2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 + 2*b^3))^(2/3) - (a^3*x^2 + 2*sqrt(1/2)*(a^6 + 2*a*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6))*x^2)*((2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 + 2*b^3))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) + sqrt(3)*x - 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3)*((2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 + 2*b^3))^(1/3))/x) + 2*a*(-(2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 + 2*b^3))^(1/3)*log(-((a^3*x - 2*sqrt(1/2)*(a^6 + 2*a*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6))*x)*(-(2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 + 2*b^3))^(2/3) - (a^3*x^3 + b^2*x^2)^(1/3))/x) + 2*a*((2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 + 2*b^3))^(1/3)*log(-((a^3*x + 2*sqrt(1/2)*(a^6 + 2*a*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6))*x)*((2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 + 2*b^3))^(2/3) - (a^3*x^3 + b^2*x^2)^(1/3))/x) - a*(-(2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 + 2*b^3))^(1/3)*log(((a^3*x^3 + b^2*x^2)^(1/3)*(a^3*x - 2*sqrt(1/2)*(a^6 + 2*a*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6))*x)*(-(2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 + 2*b^3))^(2/3) - (a^3*x^2 - 2*sqrt(1/2)*(a^6 + 2*a*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6))*x^2)*(-(2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 + 2*b^3))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - a*((2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 + 2*b^3))^(1/3)*log(((a^3*x^3 + b^2*x^2)^(1/3)*(a^3*x + 2*sqrt(1/2)*(a^6 + 2*a*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6))*x)*((2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 + 2*b^3))^(2/3) - (a^3*x^2 + 2*sqrt(1/2)*(a^6 + 2*a*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6))*x^2)*((2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 + 2*b^3))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - 4*sqrt(3)*arctan(1/3*(sqrt(3)*a*x + 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3))/(a*x)) - 4*log(-(a*x - (a^3*x^3 + b^2*x^2)^(1/3))/x) + 2*log((a^2*x^2 + (a^3*x^3 + b^2*x^2)^(1/3)*a*x + (a^3*x^3 + b^2*x^2)^(2/3))/x^2))/a","B",0
2480,1,2180,0,0.551871," ","integrate((a*x^2+b)/(2*a*x^2+b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","\frac{4 \, \sqrt{3} a \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} x \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x - 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} + 2 \, a b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x\right)} \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{2} - 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} + 2 \, a b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x^{2}\right)} \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + \sqrt{3} x - 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}}}{3 \, x}\right) + 4 \, \sqrt{3} a \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} x \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}} \sqrt{\frac{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x + 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} + 2 \, a b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x\right)} \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{2} + 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} + 2 \, a b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x^{2}\right)} \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + \sqrt{3} x - 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}}}{3 \, x}\right) + 2 \, a \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}} \log\left(-\frac{{\left(a^{3} x - 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} + 2 \, a b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x\right)} \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + 2 \, a \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}} \log\left(-\frac{{\left(a^{3} x + 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} + 2 \, a b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x\right)} \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - a \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x - 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} + 2 \, a b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x\right)} \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{2} - 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} + 2 \, a b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x^{2}\right)} \left(-\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} + a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - a \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x + 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} + 2 \, a b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x\right)} \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{2} + 2 \, \sqrt{\frac{1}{2}} {\left(a^{6} + 2 \, a b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} x^{2}\right)} \left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(a^{5} + 2 \, b^{3}\right)} \sqrt{-\frac{b^{3}}{a^{11} + 4 \, a^{6} b^{3} + 4 \, a b^{6}}} - a^{2}}{a^{5} + 2 \, b^{3}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - 4 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} a x + 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{3 \, a x}\right) - 4 \, \log\left(-\frac{a x - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + 2 \, \log\left(\frac{a^{2} x^{2} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} a x + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{8 \, a}"," ",0,"1/8*(4*sqrt(3)*a*(-(2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 + 2*b^3))^(1/3)*arctan(1/3*(2*sqrt(3)*x*(-(2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 + 2*b^3))^(1/3)*sqrt(((a^3*x^3 + b^2*x^2)^(1/3)*(a^3*x - 2*sqrt(1/2)*(a^6 + 2*a*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6))*x)*(-(2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 + 2*b^3))^(2/3) - (a^3*x^2 - 2*sqrt(1/2)*(a^6 + 2*a*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6))*x^2)*(-(2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 + 2*b^3))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) + sqrt(3)*x - 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3)*(-(2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 + 2*b^3))^(1/3))/x) + 4*sqrt(3)*a*((2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 + 2*b^3))^(1/3)*arctan(1/3*(2*sqrt(3)*x*((2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 + 2*b^3))^(1/3)*sqrt(((a^3*x^3 + b^2*x^2)^(1/3)*(a^3*x + 2*sqrt(1/2)*(a^6 + 2*a*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6))*x)*((2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 + 2*b^3))^(2/3) - (a^3*x^2 + 2*sqrt(1/2)*(a^6 + 2*a*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6))*x^2)*((2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 + 2*b^3))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) + sqrt(3)*x - 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3)*((2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 + 2*b^3))^(1/3))/x) + 2*a*(-(2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 + 2*b^3))^(1/3)*log(-((a^3*x - 2*sqrt(1/2)*(a^6 + 2*a*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6))*x)*(-(2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 + 2*b^3))^(2/3) - (a^3*x^3 + b^2*x^2)^(1/3))/x) + 2*a*((2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 + 2*b^3))^(1/3)*log(-((a^3*x + 2*sqrt(1/2)*(a^6 + 2*a*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6))*x)*((2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 + 2*b^3))^(2/3) - (a^3*x^3 + b^2*x^2)^(1/3))/x) - a*(-(2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 + 2*b^3))^(1/3)*log(((a^3*x^3 + b^2*x^2)^(1/3)*(a^3*x - 2*sqrt(1/2)*(a^6 + 2*a*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6))*x)*(-(2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 + 2*b^3))^(2/3) - (a^3*x^2 - 2*sqrt(1/2)*(a^6 + 2*a*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6))*x^2)*(-(2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) + a^2)/(a^5 + 2*b^3))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - a*((2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 + 2*b^3))^(1/3)*log(((a^3*x^3 + b^2*x^2)^(1/3)*(a^3*x + 2*sqrt(1/2)*(a^6 + 2*a*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6))*x)*((2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 + 2*b^3))^(2/3) - (a^3*x^2 + 2*sqrt(1/2)*(a^6 + 2*a*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6))*x^2)*((2*sqrt(1/2)*(a^5 + 2*b^3)*sqrt(-b^3/(a^11 + 4*a^6*b^3 + 4*a*b^6)) - a^2)/(a^5 + 2*b^3))^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - 4*sqrt(3)*arctan(1/3*(sqrt(3)*a*x + 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3))/(a*x)) - 4*log(-(a*x - (a^3*x^3 + b^2*x^2)^(1/3))/x) + 2*log((a^2*x^2 + (a^3*x^3 + b^2*x^2)^(1/3)*a*x + (a^3*x^3 + b^2*x^2)^(2/3))/x^2))/a","B",0
2481,-1,0,0,0.000000," ","integrate(x*(4*a*b-3*(a+b)*x+2*x^2)/(x^2*(-a+x)*(-b+x))^(1/3)/(-a*b+(a+b)*x-x^2+d*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2482,-1,0,0,0.000000," ","integrate((a*x^4+b)^(1/4)*(3*a*x^4+2*b)/x^6/(a*x^8+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2483,-1,0,0,0.000000," ","integrate((a*x^4+b)^(1/4)*(3*a*x^4+2*b)/x^6/(a*x^8+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2484,1,4535,0,8.192112," ","integrate((x+(1+x)^(1/2))^(1/2)/(x^2+1),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{\sqrt{\frac{1}{4} i + \frac{1}{4}} + \sqrt{-\frac{1}{4} i + \frac{1}{4}} - 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}}} \log\left(-\frac{2 \, {\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2} + 2 \, {\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + 8 \, {\left({\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} - {\left(3 \, x - 16\right)} \sqrt{x + 1} - 4 \, x + 3\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}} + 2 \, {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 12 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 32 \, x + 46\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(3 \, x^{2} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left(3 \, x^{2} - 2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2} + 44 \, x^{2} - 2 \, {\left(6 \, x^{2} + {\left(16 \, x + 3\right)} \sqrt{x + 1} + 3 \, x + 10\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} - 2 \, {\left({\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + 6 \, x^{2} + {\left(16 \, x + 3\right)} \sqrt{x + 1} + 3 \, x + 10\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + 4 \, {\left(12 \, x^{2} + {\left(3 \, x^{2} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + {\left(3 \, x^{2} - 2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + 2 \, {\left(16 \, x + 3\right)} \sqrt{x + 1} + 6 \, x + 20\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}} + 24 \, \sqrt{x + 1} {\left(x - 2\right)} + 92 \, x - 20\right)} \sqrt{\sqrt{\frac{1}{4} i + \frac{1}{4}} + \sqrt{-\frac{1}{4} i + \frac{1}{4}} - 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}}}}{4 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{4} i + \frac{1}{4}} + \sqrt{-\frac{1}{4} i + \frac{1}{4}} - 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}}} \log\left(-\frac{2 \, {\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2} + 2 \, {\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + 8 \, {\left({\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} - {\left(3 \, x - 16\right)} \sqrt{x + 1} - 4 \, x + 3\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}} + 2 \, {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 12 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 32 \, x + 46\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(3 \, x^{2} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left(3 \, x^{2} - 2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2} + 44 \, x^{2} - 2 \, {\left(6 \, x^{2} + {\left(16 \, x + 3\right)} \sqrt{x + 1} + 3 \, x + 10\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} - 2 \, {\left({\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + 6 \, x^{2} + {\left(16 \, x + 3\right)} \sqrt{x + 1} + 3 \, x + 10\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + 4 \, {\left(12 \, x^{2} + {\left(3 \, x^{2} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + {\left(3 \, x^{2} - 2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + 2 \, {\left(16 \, x + 3\right)} \sqrt{x + 1} + 6 \, x + 20\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}} + 24 \, \sqrt{x + 1} {\left(x - 2\right)} + 92 \, x - 20\right)} \sqrt{\sqrt{\frac{1}{4} i + \frac{1}{4}} + \sqrt{-\frac{1}{4} i + \frac{1}{4}} - 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}}}}{4 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{4} i + \frac{1}{4}} + \sqrt{-\frac{1}{4} i + \frac{1}{4}} + 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}}} \log\left(-\frac{2 \, {\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2} + 2 \, {\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - 8 \, {\left({\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} - {\left(3 \, x - 16\right)} \sqrt{x + 1} - 4 \, x + 3\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}} + 2 \, {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 12 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 32 \, x + 46\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(3 \, x^{2} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left(3 \, x^{2} - 2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2} + 44 \, x^{2} - 2 \, {\left(6 \, x^{2} + {\left(16 \, x + 3\right)} \sqrt{x + 1} + 3 \, x + 10\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} - 2 \, {\left({\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + 6 \, x^{2} + {\left(16 \, x + 3\right)} \sqrt{x + 1} + 3 \, x + 10\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - 4 \, {\left(12 \, x^{2} + {\left(3 \, x^{2} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + {\left(3 \, x^{2} - 2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + 2 \, {\left(16 \, x + 3\right)} \sqrt{x + 1} + 6 \, x + 20\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}} + 24 \, \sqrt{x + 1} {\left(x - 2\right)} + 92 \, x - 20\right)} \sqrt{\sqrt{\frac{1}{4} i + \frac{1}{4}} + \sqrt{-\frac{1}{4} i + \frac{1}{4}} + 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}}}}{4 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{4} i + \frac{1}{4}} + \sqrt{-\frac{1}{4} i + \frac{1}{4}} + 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}}} \log\left(-\frac{2 \, {\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2} + 2 \, {\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - 8 \, {\left({\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} - {\left(3 \, x - 16\right)} \sqrt{x + 1} - 4 \, x + 3\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}} + 2 \, {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 12 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 32 \, x + 46\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(3 \, x^{2} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left(3 \, x^{2} - 2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2} + 44 \, x^{2} - 2 \, {\left(6 \, x^{2} + {\left(16 \, x + 3\right)} \sqrt{x + 1} + 3 \, x + 10\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} - 2 \, {\left({\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + 6 \, x^{2} + {\left(16 \, x + 3\right)} \sqrt{x + 1} + 3 \, x + 10\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - 4 \, {\left(12 \, x^{2} + {\left(3 \, x^{2} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + {\left(3 \, x^{2} - 2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + 2 \, {\left(16 \, x + 3\right)} \sqrt{x + 1} + 6 \, x + 20\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}} + 24 \, \sqrt{x + 1} {\left(x - 2\right)} + 92 \, x - 20\right)} \sqrt{\sqrt{\frac{1}{4} i + \frac{1}{4}} + \sqrt{-\frac{1}{4} i + \frac{1}{4}} + 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}}}}{4 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} + \frac{1}{4} i} \log\left(\frac{{\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2} + {\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + {\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{3} - 6 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 16 \, x - 23\right)} \sqrt{x + \sqrt{x + 1}} + {\left(2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{3} - {\left(3 \, x^{2} - 2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2} + 22 \, x^{2} + 2 \, {\left({\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + 6 \, x^{2} + {\left(16 \, x + 3\right)} \sqrt{x + 1} + 3 \, x + 10\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + 12 \, \sqrt{x + 1} {\left(x - 2\right)} + 46 \, x - 10\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} + \frac{1}{4} i}}{x^{2} + 1}\right) - \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} + \frac{1}{4} i} \log\left(\frac{{\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2} + {\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + {\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{3} - 6 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 16 \, x - 23\right)} \sqrt{x + \sqrt{x + 1}} - {\left(2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{3} - {\left(3 \, x^{2} - 2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2} + 22 \, x^{2} + 2 \, {\left({\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + 6 \, x^{2} + {\left(16 \, x + 3\right)} \sqrt{x + 1} + 3 \, x + 10\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + 12 \, \sqrt{x + 1} {\left(x - 2\right)} + 46 \, x - 10\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} + \frac{1}{4} i}}{x^{2} + 1}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{4} i + \frac{1}{4}} - \frac{1}{4} i} \log\left(-\frac{{\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{3} - {\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 10 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 20 \, x + 15\right)} \sqrt{x + \sqrt{x + 1}} + {\left(2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{3} + {\left(3 \, x^{2} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + 10 \, x^{2} - 2 \, {\left(6 \, x^{2} + {\left(16 \, x + 3\right)} \sqrt{x + 1} + 3 \, x + 10\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} - 20 \, \sqrt{x + 1} {\left(x - 2\right)} - 30 \, x - 30\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{4} i + \frac{1}{4}} - \frac{1}{4} i}}{x^{2} + 1}\right) - \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{4} i + \frac{1}{4}} - \frac{1}{4} i} \log\left(-\frac{{\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{3} - {\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 10 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 20 \, x + 15\right)} \sqrt{x + \sqrt{x + 1}} - {\left(2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{3} + {\left(3 \, x^{2} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + 10 \, x^{2} - 2 \, {\left(6 \, x^{2} + {\left(16 \, x + 3\right)} \sqrt{x + 1} + 3 \, x + 10\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} - 20 \, \sqrt{x + 1} {\left(x - 2\right)} - 30 \, x - 30\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{4} i + \frac{1}{4}} - \frac{1}{4} i}}{x^{2} + 1}\right)"," ",0,"-1/4*sqrt(sqrt(1/4*I + 1/4) + sqrt(-1/4*I + 1/4) - 2*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2))*log(-1/4*(2*(((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I) + 4*(2*x + 1)*sqrt(x + 1) - x - 8)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I)^2 + 2*(((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I)^2 + (3*x - 16)*sqrt(x + 1) + 4*x - 3)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I) + 8*((((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I) + 4*(2*x + 1)*sqrt(x + 1) - x - 8)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I) + ((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(2*sqrt(1/4*I + 1/4) + I) - (3*x - 16)*sqrt(x + 1) - 4*x + 3)*sqrt(x + sqrt(x + 1)))*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2) + 2*((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(2*sqrt(1/4*I + 1/4) + I)^2 + ((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(2*sqrt(1/4*I + 1/4) + I) + 12*(2*x + 1)*sqrt(x + 1) + 32*x + 46)*sqrt(x + sqrt(x + 1)) + ((3*x^2 + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(1/4*I + 1/4) + I)^2 + (3*x^2 - 2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I) + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(-1/4*I + 1/4) - I)^2 + 44*x^2 - 2*(6*x^2 + (16*x + 3)*sqrt(x + 1) + 3*x + 10)*(2*sqrt(1/4*I + 1/4) + I) - 2*((4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I)^2 + 6*x^2 + (16*x + 3)*sqrt(x + 1) + 3*x + 10)*(2*sqrt(-1/4*I + 1/4) - I) + 4*(12*x^2 + (3*x^2 + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(1/4*I + 1/4) + I) + (3*x^2 - 2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I) + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(-1/4*I + 1/4) - I) + 2*(16*x + 3)*sqrt(x + 1) + 6*x + 20)*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2) + 24*sqrt(x + 1)*(x - 2) + 92*x - 20)*sqrt(sqrt(1/4*I + 1/4) + sqrt(-1/4*I + 1/4) - 2*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2)))/(x^2 + 1)) + 1/4*sqrt(sqrt(1/4*I + 1/4) + sqrt(-1/4*I + 1/4) - 2*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2))*log(-1/4*(2*(((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I) + 4*(2*x + 1)*sqrt(x + 1) - x - 8)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I)^2 + 2*(((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I)^2 + (3*x - 16)*sqrt(x + 1) + 4*x - 3)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I) + 8*((((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I) + 4*(2*x + 1)*sqrt(x + 1) - x - 8)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I) + ((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(2*sqrt(1/4*I + 1/4) + I) - (3*x - 16)*sqrt(x + 1) - 4*x + 3)*sqrt(x + sqrt(x + 1)))*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2) + 2*((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(2*sqrt(1/4*I + 1/4) + I)^2 + ((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(2*sqrt(1/4*I + 1/4) + I) + 12*(2*x + 1)*sqrt(x + 1) + 32*x + 46)*sqrt(x + sqrt(x + 1)) - ((3*x^2 + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(1/4*I + 1/4) + I)^2 + (3*x^2 - 2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I) + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(-1/4*I + 1/4) - I)^2 + 44*x^2 - 2*(6*x^2 + (16*x + 3)*sqrt(x + 1) + 3*x + 10)*(2*sqrt(1/4*I + 1/4) + I) - 2*((4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I)^2 + 6*x^2 + (16*x + 3)*sqrt(x + 1) + 3*x + 10)*(2*sqrt(-1/4*I + 1/4) - I) + 4*(12*x^2 + (3*x^2 + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(1/4*I + 1/4) + I) + (3*x^2 - 2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I) + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(-1/4*I + 1/4) - I) + 2*(16*x + 3)*sqrt(x + 1) + 6*x + 20)*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2) + 24*sqrt(x + 1)*(x - 2) + 92*x - 20)*sqrt(sqrt(1/4*I + 1/4) + sqrt(-1/4*I + 1/4) - 2*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2)))/(x^2 + 1)) - 1/4*sqrt(sqrt(1/4*I + 1/4) + sqrt(-1/4*I + 1/4) + 2*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2))*log(-1/4*(2*(((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I) + 4*(2*x + 1)*sqrt(x + 1) - x - 8)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I)^2 + 2*(((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I)^2 + (3*x - 16)*sqrt(x + 1) + 4*x - 3)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I) - 8*((((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I) + 4*(2*x + 1)*sqrt(x + 1) - x - 8)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I) + ((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(2*sqrt(1/4*I + 1/4) + I) - (3*x - 16)*sqrt(x + 1) - 4*x + 3)*sqrt(x + sqrt(x + 1)))*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2) + 2*((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(2*sqrt(1/4*I + 1/4) + I)^2 + ((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(2*sqrt(1/4*I + 1/4) + I) + 12*(2*x + 1)*sqrt(x + 1) + 32*x + 46)*sqrt(x + sqrt(x + 1)) + ((3*x^2 + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(1/4*I + 1/4) + I)^2 + (3*x^2 - 2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I) + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(-1/4*I + 1/4) - I)^2 + 44*x^2 - 2*(6*x^2 + (16*x + 3)*sqrt(x + 1) + 3*x + 10)*(2*sqrt(1/4*I + 1/4) + I) - 2*((4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I)^2 + 6*x^2 + (16*x + 3)*sqrt(x + 1) + 3*x + 10)*(2*sqrt(-1/4*I + 1/4) - I) - 4*(12*x^2 + (3*x^2 + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(1/4*I + 1/4) + I) + (3*x^2 - 2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I) + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(-1/4*I + 1/4) - I) + 2*(16*x + 3)*sqrt(x + 1) + 6*x + 20)*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2) + 24*sqrt(x + 1)*(x - 2) + 92*x - 20)*sqrt(sqrt(1/4*I + 1/4) + sqrt(-1/4*I + 1/4) + 2*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2)))/(x^2 + 1)) + 1/4*sqrt(sqrt(1/4*I + 1/4) + sqrt(-1/4*I + 1/4) + 2*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2))*log(-1/4*(2*(((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I) + 4*(2*x + 1)*sqrt(x + 1) - x - 8)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I)^2 + 2*(((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I)^2 + (3*x - 16)*sqrt(x + 1) + 4*x - 3)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I) - 8*((((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I) + 4*(2*x + 1)*sqrt(x + 1) - x - 8)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I) + ((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(2*sqrt(1/4*I + 1/4) + I) - (3*x - 16)*sqrt(x + 1) - 4*x + 3)*sqrt(x + sqrt(x + 1)))*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2) + 2*((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(2*sqrt(1/4*I + 1/4) + I)^2 + ((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(2*sqrt(1/4*I + 1/4) + I) + 12*(2*x + 1)*sqrt(x + 1) + 32*x + 46)*sqrt(x + sqrt(x + 1)) - ((3*x^2 + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(1/4*I + 1/4) + I)^2 + (3*x^2 - 2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I) + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(-1/4*I + 1/4) - I)^2 + 44*x^2 - 2*(6*x^2 + (16*x + 3)*sqrt(x + 1) + 3*x + 10)*(2*sqrt(1/4*I + 1/4) + I) - 2*((4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I)^2 + 6*x^2 + (16*x + 3)*sqrt(x + 1) + 3*x + 10)*(2*sqrt(-1/4*I + 1/4) - I) - 4*(12*x^2 + (3*x^2 + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(1/4*I + 1/4) + I) + (3*x^2 - 2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I) + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(-1/4*I + 1/4) - I) + 2*(16*x + 3)*sqrt(x + 1) + 6*x + 20)*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2) + 24*sqrt(x + 1)*(x - 2) + 92*x - 20)*sqrt(sqrt(1/4*I + 1/4) + sqrt(-1/4*I + 1/4) + 2*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2)))/(x^2 + 1)) + 1/2*sqrt(-1/2*sqrt(-1/4*I + 1/4) + 1/4*I)*log(((((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I) + 4*(2*x + 1)*sqrt(x + 1) - x - 8)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I)^2 + (((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I)^2 + (3*x - 16)*sqrt(x + 1) + 4*x - 3)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I) + (((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I)^3 - 6*(2*x + 1)*sqrt(x + 1) - 16*x - 23)*sqrt(x + sqrt(x + 1)) + (2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I)^3 - (3*x^2 - 2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I) + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(-1/4*I + 1/4) - I)^2 + 22*x^2 + 2*((4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I)^2 + 6*x^2 + (16*x + 3)*sqrt(x + 1) + 3*x + 10)*(2*sqrt(-1/4*I + 1/4) - I) + 12*sqrt(x + 1)*(x - 2) + 46*x - 10)*sqrt(-1/2*sqrt(-1/4*I + 1/4) + 1/4*I))/(x^2 + 1)) - 1/2*sqrt(-1/2*sqrt(-1/4*I + 1/4) + 1/4*I)*log(((((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I) + 4*(2*x + 1)*sqrt(x + 1) - x - 8)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I)^2 + (((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I)^2 + (3*x - 16)*sqrt(x + 1) + 4*x - 3)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I) + (((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I)^3 - 6*(2*x + 1)*sqrt(x + 1) - 16*x - 23)*sqrt(x + sqrt(x + 1)) - (2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I)^3 - (3*x^2 - 2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I) + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(-1/4*I + 1/4) - I)^2 + 22*x^2 + 2*((4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I)^2 + 6*x^2 + (16*x + 3)*sqrt(x + 1) + 3*x + 10)*(2*sqrt(-1/4*I + 1/4) - I) + 12*sqrt(x + 1)*(x - 2) + 46*x - 10)*sqrt(-1/2*sqrt(-1/4*I + 1/4) + 1/4*I))/(x^2 + 1)) + 1/2*sqrt(-1/2*sqrt(1/4*I + 1/4) - 1/4*I)*log(-((((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I)^3 - (4*(2*x + 1)*sqrt(x + 1) - x - 8)*(2*sqrt(1/4*I + 1/4) + I)^2 - ((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(2*sqrt(1/4*I + 1/4) + I) + 10*(2*x + 1)*sqrt(x + 1) - 20*x + 15)*sqrt(x + sqrt(x + 1)) + (2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I)^3 + (3*x^2 + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(1/4*I + 1/4) + I)^2 + 10*x^2 - 2*(6*x^2 + (16*x + 3)*sqrt(x + 1) + 3*x + 10)*(2*sqrt(1/4*I + 1/4) + I) - 20*sqrt(x + 1)*(x - 2) - 30*x - 30)*sqrt(-1/2*sqrt(1/4*I + 1/4) - 1/4*I))/(x^2 + 1)) - 1/2*sqrt(-1/2*sqrt(1/4*I + 1/4) - 1/4*I)*log(-((((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I)^3 - (4*(2*x + 1)*sqrt(x + 1) - x - 8)*(2*sqrt(1/4*I + 1/4) + I)^2 - ((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(2*sqrt(1/4*I + 1/4) + I) + 10*(2*x + 1)*sqrt(x + 1) - 20*x + 15)*sqrt(x + sqrt(x + 1)) - (2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I)^3 + (3*x^2 + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(1/4*I + 1/4) + I)^2 + 10*x^2 - 2*(6*x^2 + (16*x + 3)*sqrt(x + 1) + 3*x + 10)*(2*sqrt(1/4*I + 1/4) + I) - 20*sqrt(x + 1)*(x - 2) - 30*x - 30)*sqrt(-1/2*sqrt(1/4*I + 1/4) - 1/4*I))/(x^2 + 1))","B",0
2485,1,4535,0,5.252763," ","integrate((x+(1+x)^(1/2))^(1/2)/(x^2+1),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{\sqrt{\frac{1}{4} i + \frac{1}{4}} + \sqrt{-\frac{1}{4} i + \frac{1}{4}} - 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}}} \log\left(-\frac{2 \, {\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2} + 2 \, {\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + 8 \, {\left({\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} - {\left(3 \, x - 16\right)} \sqrt{x + 1} - 4 \, x + 3\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}} + 2 \, {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 12 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 32 \, x + 46\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(3 \, x^{2} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left(3 \, x^{2} - 2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2} + 44 \, x^{2} - 2 \, {\left(6 \, x^{2} + {\left(16 \, x + 3\right)} \sqrt{x + 1} + 3 \, x + 10\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} - 2 \, {\left({\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + 6 \, x^{2} + {\left(16 \, x + 3\right)} \sqrt{x + 1} + 3 \, x + 10\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + 4 \, {\left(12 \, x^{2} + {\left(3 \, x^{2} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + {\left(3 \, x^{2} - 2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + 2 \, {\left(16 \, x + 3\right)} \sqrt{x + 1} + 6 \, x + 20\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}} + 24 \, \sqrt{x + 1} {\left(x - 2\right)} + 92 \, x - 20\right)} \sqrt{\sqrt{\frac{1}{4} i + \frac{1}{4}} + \sqrt{-\frac{1}{4} i + \frac{1}{4}} - 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}}}}{4 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{4} i + \frac{1}{4}} + \sqrt{-\frac{1}{4} i + \frac{1}{4}} - 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}}} \log\left(-\frac{2 \, {\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2} + 2 \, {\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + 8 \, {\left({\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} - {\left(3 \, x - 16\right)} \sqrt{x + 1} - 4 \, x + 3\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}} + 2 \, {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 12 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 32 \, x + 46\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(3 \, x^{2} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left(3 \, x^{2} - 2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2} + 44 \, x^{2} - 2 \, {\left(6 \, x^{2} + {\left(16 \, x + 3\right)} \sqrt{x + 1} + 3 \, x + 10\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} - 2 \, {\left({\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + 6 \, x^{2} + {\left(16 \, x + 3\right)} \sqrt{x + 1} + 3 \, x + 10\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + 4 \, {\left(12 \, x^{2} + {\left(3 \, x^{2} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + {\left(3 \, x^{2} - 2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + 2 \, {\left(16 \, x + 3\right)} \sqrt{x + 1} + 6 \, x + 20\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}} + 24 \, \sqrt{x + 1} {\left(x - 2\right)} + 92 \, x - 20\right)} \sqrt{\sqrt{\frac{1}{4} i + \frac{1}{4}} + \sqrt{-\frac{1}{4} i + \frac{1}{4}} - 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}}}}{4 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{4} i + \frac{1}{4}} + \sqrt{-\frac{1}{4} i + \frac{1}{4}} + 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}}} \log\left(-\frac{2 \, {\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2} + 2 \, {\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - 8 \, {\left({\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} - {\left(3 \, x - 16\right)} \sqrt{x + 1} - 4 \, x + 3\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}} + 2 \, {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 12 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 32 \, x + 46\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(3 \, x^{2} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left(3 \, x^{2} - 2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2} + 44 \, x^{2} - 2 \, {\left(6 \, x^{2} + {\left(16 \, x + 3\right)} \sqrt{x + 1} + 3 \, x + 10\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} - 2 \, {\left({\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + 6 \, x^{2} + {\left(16 \, x + 3\right)} \sqrt{x + 1} + 3 \, x + 10\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - 4 \, {\left(12 \, x^{2} + {\left(3 \, x^{2} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + {\left(3 \, x^{2} - 2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + 2 \, {\left(16 \, x + 3\right)} \sqrt{x + 1} + 6 \, x + 20\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}} + 24 \, \sqrt{x + 1} {\left(x - 2\right)} + 92 \, x - 20\right)} \sqrt{\sqrt{\frac{1}{4} i + \frac{1}{4}} + \sqrt{-\frac{1}{4} i + \frac{1}{4}} + 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}}}}{4 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{4} i + \frac{1}{4}} + \sqrt{-\frac{1}{4} i + \frac{1}{4}} + 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}}} \log\left(-\frac{2 \, {\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2} + 2 \, {\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - 8 \, {\left({\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} - {\left(3 \, x - 16\right)} \sqrt{x + 1} - 4 \, x + 3\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}} + 2 \, {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 12 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 32 \, x + 46\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(3 \, x^{2} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left(3 \, x^{2} - 2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2} + 44 \, x^{2} - 2 \, {\left(6 \, x^{2} + {\left(16 \, x + 3\right)} \sqrt{x + 1} + 3 \, x + 10\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} - 2 \, {\left({\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + 6 \, x^{2} + {\left(16 \, x + 3\right)} \sqrt{x + 1} + 3 \, x + 10\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - 4 \, {\left(12 \, x^{2} + {\left(3 \, x^{2} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + {\left(3 \, x^{2} - 2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + 2 \, {\left(16 \, x + 3\right)} \sqrt{x + 1} + 6 \, x + 20\right)} \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}} + 24 \, \sqrt{x + 1} {\left(x - 2\right)} + 92 \, x - 20\right)} \sqrt{\sqrt{\frac{1}{4} i + \frac{1}{4}} + \sqrt{-\frac{1}{4} i + \frac{1}{4}} + 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2}}}}{4 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} + \frac{1}{4} i} \log\left(\frac{{\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2} + {\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + {\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{3} - 6 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 16 \, x - 23\right)} \sqrt{x + \sqrt{x + 1}} + {\left(2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{3} - {\left(3 \, x^{2} - 2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2} + 22 \, x^{2} + 2 \, {\left({\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + 6 \, x^{2} + {\left(16 \, x + 3\right)} \sqrt{x + 1} + 3 \, x + 10\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + 12 \, \sqrt{x + 1} {\left(x - 2\right)} + 46 \, x - 10\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} + \frac{1}{4} i}}{x^{2} + 1}\right) - \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} + \frac{1}{4} i} \log\left(\frac{{\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2} + {\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + {\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + {\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{3} - 6 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 16 \, x - 23\right)} \sqrt{x + \sqrt{x + 1}} - {\left(2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{3} - {\left(3 \, x^{2} - 2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)}^{2} + 22 \, x^{2} + 2 \, {\left({\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + 6 \, x^{2} + {\left(16 \, x + 3\right)} \sqrt{x + 1} + 3 \, x + 10\right)} {\left(2 \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} - i\right)} + 12 \, \sqrt{x + 1} {\left(x - 2\right)} + 46 \, x - 10\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{4} i + \frac{1}{4}} + \frac{1}{4} i}}{x^{2} + 1}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{4} i + \frac{1}{4}} - \frac{1}{4} i} \log\left(-\frac{{\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{3} - {\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 10 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 20 \, x + 15\right)} \sqrt{x + \sqrt{x + 1}} + {\left(2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{3} + {\left(3 \, x^{2} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + 10 \, x^{2} - 2 \, {\left(6 \, x^{2} + {\left(16 \, x + 3\right)} \sqrt{x + 1} + 3 \, x + 10\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} - 20 \, \sqrt{x + 1} {\left(x - 2\right)} - 30 \, x - 30\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{4} i + \frac{1}{4}} - \frac{1}{4} i}}{x^{2} + 1}\right) - \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{4} i + \frac{1}{4}} - \frac{1}{4} i} \log\left(-\frac{{\left({\left({\left(2 \, x + 1\right)} \sqrt{x + 1} - 9 \, x - 2\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{3} - {\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} - {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} + 10 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 20 \, x + 15\right)} \sqrt{x + \sqrt{x + 1}} - {\left(2 \, {\left(4 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} + 2 \, x - 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{3} + {\left(3 \, x^{2} + 8 \, \sqrt{x + 1} {\left(x - 2\right)} - 16 \, x + 5\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)}^{2} + 10 \, x^{2} - 2 \, {\left(6 \, x^{2} + {\left(16 \, x + 3\right)} \sqrt{x + 1} + 3 \, x + 10\right)} {\left(2 \, \sqrt{\frac{1}{4} i + \frac{1}{4}} + i\right)} - 20 \, \sqrt{x + 1} {\left(x - 2\right)} - 30 \, x - 30\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{4} i + \frac{1}{4}} - \frac{1}{4} i}}{x^{2} + 1}\right)"," ",0,"-1/4*sqrt(sqrt(1/4*I + 1/4) + sqrt(-1/4*I + 1/4) - 2*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2))*log(-1/4*(2*(((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I) + 4*(2*x + 1)*sqrt(x + 1) - x - 8)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I)^2 + 2*(((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I)^2 + (3*x - 16)*sqrt(x + 1) + 4*x - 3)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I) + 8*((((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I) + 4*(2*x + 1)*sqrt(x + 1) - x - 8)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I) + ((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(2*sqrt(1/4*I + 1/4) + I) - (3*x - 16)*sqrt(x + 1) - 4*x + 3)*sqrt(x + sqrt(x + 1)))*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2) + 2*((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(2*sqrt(1/4*I + 1/4) + I)^2 + ((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(2*sqrt(1/4*I + 1/4) + I) + 12*(2*x + 1)*sqrt(x + 1) + 32*x + 46)*sqrt(x + sqrt(x + 1)) + ((3*x^2 + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(1/4*I + 1/4) + I)^2 + (3*x^2 - 2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I) + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(-1/4*I + 1/4) - I)^2 + 44*x^2 - 2*(6*x^2 + (16*x + 3)*sqrt(x + 1) + 3*x + 10)*(2*sqrt(1/4*I + 1/4) + I) - 2*((4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I)^2 + 6*x^2 + (16*x + 3)*sqrt(x + 1) + 3*x + 10)*(2*sqrt(-1/4*I + 1/4) - I) + 4*(12*x^2 + (3*x^2 + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(1/4*I + 1/4) + I) + (3*x^2 - 2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I) + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(-1/4*I + 1/4) - I) + 2*(16*x + 3)*sqrt(x + 1) + 6*x + 20)*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2) + 24*sqrt(x + 1)*(x - 2) + 92*x - 20)*sqrt(sqrt(1/4*I + 1/4) + sqrt(-1/4*I + 1/4) - 2*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2)))/(x^2 + 1)) + 1/4*sqrt(sqrt(1/4*I + 1/4) + sqrt(-1/4*I + 1/4) - 2*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2))*log(-1/4*(2*(((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I) + 4*(2*x + 1)*sqrt(x + 1) - x - 8)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I)^2 + 2*(((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I)^2 + (3*x - 16)*sqrt(x + 1) + 4*x - 3)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I) + 8*((((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I) + 4*(2*x + 1)*sqrt(x + 1) - x - 8)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I) + ((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(2*sqrt(1/4*I + 1/4) + I) - (3*x - 16)*sqrt(x + 1) - 4*x + 3)*sqrt(x + sqrt(x + 1)))*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2) + 2*((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(2*sqrt(1/4*I + 1/4) + I)^2 + ((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(2*sqrt(1/4*I + 1/4) + I) + 12*(2*x + 1)*sqrt(x + 1) + 32*x + 46)*sqrt(x + sqrt(x + 1)) - ((3*x^2 + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(1/4*I + 1/4) + I)^2 + (3*x^2 - 2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I) + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(-1/4*I + 1/4) - I)^2 + 44*x^2 - 2*(6*x^2 + (16*x + 3)*sqrt(x + 1) + 3*x + 10)*(2*sqrt(1/4*I + 1/4) + I) - 2*((4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I)^2 + 6*x^2 + (16*x + 3)*sqrt(x + 1) + 3*x + 10)*(2*sqrt(-1/4*I + 1/4) - I) + 4*(12*x^2 + (3*x^2 + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(1/4*I + 1/4) + I) + (3*x^2 - 2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I) + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(-1/4*I + 1/4) - I) + 2*(16*x + 3)*sqrt(x + 1) + 6*x + 20)*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2) + 24*sqrt(x + 1)*(x - 2) + 92*x - 20)*sqrt(sqrt(1/4*I + 1/4) + sqrt(-1/4*I + 1/4) - 2*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2)))/(x^2 + 1)) - 1/4*sqrt(sqrt(1/4*I + 1/4) + sqrt(-1/4*I + 1/4) + 2*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2))*log(-1/4*(2*(((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I) + 4*(2*x + 1)*sqrt(x + 1) - x - 8)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I)^2 + 2*(((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I)^2 + (3*x - 16)*sqrt(x + 1) + 4*x - 3)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I) - 8*((((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I) + 4*(2*x + 1)*sqrt(x + 1) - x - 8)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I) + ((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(2*sqrt(1/4*I + 1/4) + I) - (3*x - 16)*sqrt(x + 1) - 4*x + 3)*sqrt(x + sqrt(x + 1)))*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2) + 2*((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(2*sqrt(1/4*I + 1/4) + I)^2 + ((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(2*sqrt(1/4*I + 1/4) + I) + 12*(2*x + 1)*sqrt(x + 1) + 32*x + 46)*sqrt(x + sqrt(x + 1)) + ((3*x^2 + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(1/4*I + 1/4) + I)^2 + (3*x^2 - 2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I) + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(-1/4*I + 1/4) - I)^2 + 44*x^2 - 2*(6*x^2 + (16*x + 3)*sqrt(x + 1) + 3*x + 10)*(2*sqrt(1/4*I + 1/4) + I) - 2*((4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I)^2 + 6*x^2 + (16*x + 3)*sqrt(x + 1) + 3*x + 10)*(2*sqrt(-1/4*I + 1/4) - I) - 4*(12*x^2 + (3*x^2 + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(1/4*I + 1/4) + I) + (3*x^2 - 2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I) + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(-1/4*I + 1/4) - I) + 2*(16*x + 3)*sqrt(x + 1) + 6*x + 20)*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2) + 24*sqrt(x + 1)*(x - 2) + 92*x - 20)*sqrt(sqrt(1/4*I + 1/4) + sqrt(-1/4*I + 1/4) + 2*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2)))/(x^2 + 1)) + 1/4*sqrt(sqrt(1/4*I + 1/4) + sqrt(-1/4*I + 1/4) + 2*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2))*log(-1/4*(2*(((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I) + 4*(2*x + 1)*sqrt(x + 1) - x - 8)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I)^2 + 2*(((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I)^2 + (3*x - 16)*sqrt(x + 1) + 4*x - 3)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I) - 8*((((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I) + 4*(2*x + 1)*sqrt(x + 1) - x - 8)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I) + ((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(2*sqrt(1/4*I + 1/4) + I) - (3*x - 16)*sqrt(x + 1) - 4*x + 3)*sqrt(x + sqrt(x + 1)))*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2) + 2*((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(2*sqrt(1/4*I + 1/4) + I)^2 + ((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(2*sqrt(1/4*I + 1/4) + I) + 12*(2*x + 1)*sqrt(x + 1) + 32*x + 46)*sqrt(x + sqrt(x + 1)) - ((3*x^2 + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(1/4*I + 1/4) + I)^2 + (3*x^2 - 2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I) + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(-1/4*I + 1/4) - I)^2 + 44*x^2 - 2*(6*x^2 + (16*x + 3)*sqrt(x + 1) + 3*x + 10)*(2*sqrt(1/4*I + 1/4) + I) - 2*((4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I)^2 + 6*x^2 + (16*x + 3)*sqrt(x + 1) + 3*x + 10)*(2*sqrt(-1/4*I + 1/4) - I) - 4*(12*x^2 + (3*x^2 + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(1/4*I + 1/4) + I) + (3*x^2 - 2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I) + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(-1/4*I + 1/4) - I) + 2*(16*x + 3)*sqrt(x + 1) + 6*x + 20)*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2) + 24*sqrt(x + 1)*(x - 2) + 92*x - 20)*sqrt(sqrt(1/4*I + 1/4) + sqrt(-1/4*I + 1/4) + 2*sqrt(-3/16*(2*sqrt(1/4*I + 1/4) + I)^2 - 1/8*(2*sqrt(1/4*I + 1/4) + I)*(2*sqrt(-1/4*I + 1/4) - I) - 3/16*(2*sqrt(-1/4*I + 1/4) - I)^2)))/(x^2 + 1)) + 1/2*sqrt(-1/2*sqrt(-1/4*I + 1/4) + 1/4*I)*log(((((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I) + 4*(2*x + 1)*sqrt(x + 1) - x - 8)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I)^2 + (((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I)^2 + (3*x - 16)*sqrt(x + 1) + 4*x - 3)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I) + (((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I)^3 - 6*(2*x + 1)*sqrt(x + 1) - 16*x - 23)*sqrt(x + sqrt(x + 1)) + (2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I)^3 - (3*x^2 - 2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I) + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(-1/4*I + 1/4) - I)^2 + 22*x^2 + 2*((4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I)^2 + 6*x^2 + (16*x + 3)*sqrt(x + 1) + 3*x + 10)*(2*sqrt(-1/4*I + 1/4) - I) + 12*sqrt(x + 1)*(x - 2) + 46*x - 10)*sqrt(-1/2*sqrt(-1/4*I + 1/4) + 1/4*I))/(x^2 + 1)) - 1/2*sqrt(-1/2*sqrt(-1/4*I + 1/4) + 1/4*I)*log(((((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I) + 4*(2*x + 1)*sqrt(x + 1) - x - 8)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I)^2 + (((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I)^2 + (3*x - 16)*sqrt(x + 1) + 4*x - 3)*sqrt(x + sqrt(x + 1))*(2*sqrt(-1/4*I + 1/4) - I) + (((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I)^3 - 6*(2*x + 1)*sqrt(x + 1) - 16*x - 23)*sqrt(x + sqrt(x + 1)) - (2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I)^3 - (3*x^2 - 2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I) + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(-1/4*I + 1/4) - I)^2 + 22*x^2 + 2*((4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I)^2 + 6*x^2 + (16*x + 3)*sqrt(x + 1) + 3*x + 10)*(2*sqrt(-1/4*I + 1/4) - I) + 12*sqrt(x + 1)*(x - 2) + 46*x - 10)*sqrt(-1/2*sqrt(-1/4*I + 1/4) + 1/4*I))/(x^2 + 1)) + 1/2*sqrt(-1/2*sqrt(1/4*I + 1/4) - 1/4*I)*log(-((((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I)^3 - (4*(2*x + 1)*sqrt(x + 1) - x - 8)*(2*sqrt(1/4*I + 1/4) + I)^2 - ((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(2*sqrt(1/4*I + 1/4) + I) + 10*(2*x + 1)*sqrt(x + 1) - 20*x + 15)*sqrt(x + sqrt(x + 1)) + (2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I)^3 + (3*x^2 + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(1/4*I + 1/4) + I)^2 + 10*x^2 - 2*(6*x^2 + (16*x + 3)*sqrt(x + 1) + 3*x + 10)*(2*sqrt(1/4*I + 1/4) + I) - 20*sqrt(x + 1)*(x - 2) - 30*x - 30)*sqrt(-1/2*sqrt(1/4*I + 1/4) - 1/4*I))/(x^2 + 1)) - 1/2*sqrt(-1/2*sqrt(1/4*I + 1/4) - 1/4*I)*log(-((((2*x + 1)*sqrt(x + 1) - 9*x - 2)*(2*sqrt(1/4*I + 1/4) + I)^3 - (4*(2*x + 1)*sqrt(x + 1) - x - 8)*(2*sqrt(1/4*I + 1/4) + I)^2 - ((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(2*sqrt(1/4*I + 1/4) + I) + 10*(2*x + 1)*sqrt(x + 1) - 20*x + 15)*sqrt(x + sqrt(x + 1)) - (2*(4*x^2 - sqrt(x + 1)*(x - 2) + 2*x - 5)*(2*sqrt(1/4*I + 1/4) + I)^3 + (3*x^2 + 8*sqrt(x + 1)*(x - 2) - 16*x + 5)*(2*sqrt(1/4*I + 1/4) + I)^2 + 10*x^2 - 2*(6*x^2 + (16*x + 3)*sqrt(x + 1) + 3*x + 10)*(2*sqrt(1/4*I + 1/4) + I) - 20*sqrt(x + 1)*(x - 2) - 30*x - 30)*sqrt(-1/2*sqrt(1/4*I + 1/4) - 1/4*I))/(x^2 + 1))","B",0
2486,-1,0,0,0.000000," ","integrate((x+(1+x)^(1/2))^(1/2)/(x^2-(1+x)^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2487,-1,0,0,0.000000," ","integrate((x+(1+x)^(1/2))^(1/2)/(x^2-(1+x)^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2488,1,521,0,0.494546," ","integrate(x^2/(x^2*(-a+x))^(2/3)/(-a^2+2*a*x+(-1+d)*x^2),x, algorithm=""fricas"")","-\sqrt{3} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} \arctan\left(\frac{2 \, \sqrt{3} a^{5} d^{4} x \sqrt{\frac{a^{2} d^{2} x^{2} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{3}} + {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} a d x \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}}}{x^{2}}} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} a^{5} d^{4} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{5}{6}} - \sqrt{3} x}{3 \, x}\right) - \sqrt{3} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} \arctan\left(\frac{2 \, \sqrt{3} a^{5} d^{4} x \sqrt{\frac{a^{2} d^{2} x^{2} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{3}} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} a d x \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}}}{x^{2}}} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} a^{5} d^{4} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{5}{6}} + \sqrt{3} x}{3 \, x}\right) + \frac{1}{2} \, \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} \log\left(\frac{a d x \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} + {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{2} \, \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} \log\left(-\frac{a d x \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{4} \, \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} \log\left(\frac{a^{2} d^{2} x^{2} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{3}} + {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} a d x \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}}}{x^{2}}\right) - \frac{1}{4} \, \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} \log\left(\frac{a^{2} d^{2} x^{2} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{3}} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} a d x \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-sqrt(3)*(1/(a^6*d^5))^(1/6)*arctan(1/3*(2*sqrt(3)*a^5*d^4*x*sqrt((a^2*d^2*x^2*(1/(a^6*d^5))^(1/3) + (-a*x^2 + x^3)^(1/3)*a*d*x*(1/(a^6*d^5))^(1/6) + (-a*x^2 + x^3)^(2/3))/x^2)*(1/(a^6*d^5))^(5/6) - 2*sqrt(3)*(-a*x^2 + x^3)^(1/3)*a^5*d^4*(1/(a^6*d^5))^(5/6) - sqrt(3)*x)/x) - sqrt(3)*(1/(a^6*d^5))^(1/6)*arctan(1/3*(2*sqrt(3)*a^5*d^4*x*sqrt((a^2*d^2*x^2*(1/(a^6*d^5))^(1/3) - (-a*x^2 + x^3)^(1/3)*a*d*x*(1/(a^6*d^5))^(1/6) + (-a*x^2 + x^3)^(2/3))/x^2)*(1/(a^6*d^5))^(5/6) - 2*sqrt(3)*(-a*x^2 + x^3)^(1/3)*a^5*d^4*(1/(a^6*d^5))^(5/6) + sqrt(3)*x)/x) + 1/2*(1/(a^6*d^5))^(1/6)*log((a*d*x*(1/(a^6*d^5))^(1/6) + (-a*x^2 + x^3)^(1/3))/x) - 1/2*(1/(a^6*d^5))^(1/6)*log(-(a*d*x*(1/(a^6*d^5))^(1/6) - (-a*x^2 + x^3)^(1/3))/x) + 1/4*(1/(a^6*d^5))^(1/6)*log((a^2*d^2*x^2*(1/(a^6*d^5))^(1/3) + (-a*x^2 + x^3)^(1/3)*a*d*x*(1/(a^6*d^5))^(1/6) + (-a*x^2 + x^3)^(2/3))/x^2) - 1/4*(1/(a^6*d^5))^(1/6)*log((a^2*d^2*x^2*(1/(a^6*d^5))^(1/3) - (-a*x^2 + x^3)^(1/3)*a*d*x*(1/(a^6*d^5))^(1/6) + (-a*x^2 + x^3)^(2/3))/x^2)","B",0
2489,-1,0,0,0.000000," ","integrate((-2+(1+k)*x)*(1-(1+k)*x+(a+k)*x^2)/x/((1-x)*x*(-k*x+1))^(2/3)/(1-(1+k)*x+(-b+k)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2490,-1,0,0,0.000000," ","integrate((-2*a^2*b*x+a*(3*a+2*b)*x^2-4*a*x^3+x^4)/(x^2*(-a+x)*(-b+x))^(2/3)/(-a^2+2*a*x-(b*d+1)*x^2+d*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2491,1,189,0,0.582772," ","integrate(1/(81*x^4-135*x^3+54*x^2+12*x-8)^(1/3),x, algorithm=""fricas"")","-\frac{1}{18} \cdot 3^{\frac{2}{3}} \log\left(\frac{3^{\frac{2}{3}} {\left(9 \, x^{2} - 12 \, x + 4\right)} + 3^{\frac{1}{3}} {\left(81 \, x^{4} - 135 \, x^{3} + 54 \, x^{2} + 12 \, x - 8\right)}^{\frac{1}{3}} {\left(3 \, x - 2\right)} + {\left(81 \, x^{4} - 135 \, x^{3} + 54 \, x^{2} + 12 \, x - 8\right)}^{\frac{2}{3}}}{9 \, x^{2} - 12 \, x + 4}\right) + \frac{1}{9} \cdot 3^{\frac{2}{3}} \log\left(-\frac{3^{\frac{1}{3}} {\left(3 \, x - 2\right)} - {\left(81 \, x^{4} - 135 \, x^{3} + 54 \, x^{2} + 12 \, x - 8\right)}^{\frac{1}{3}}}{3 \, x - 2}\right) + \frac{1}{3} \cdot 3^{\frac{1}{6}} \arctan\left(\frac{3^{\frac{1}{6}} {\left(3^{\frac{1}{3}} {\left(3 \, x - 2\right)} + 2 \, {\left(81 \, x^{4} - 135 \, x^{3} + 54 \, x^{2} + 12 \, x - 8\right)}^{\frac{1}{3}}\right)}}{3 \, {\left(3 \, x - 2\right)}}\right)"," ",0,"-1/18*3^(2/3)*log((3^(2/3)*(9*x^2 - 12*x + 4) + 3^(1/3)*(81*x^4 - 135*x^3 + 54*x^2 + 12*x - 8)^(1/3)*(3*x - 2) + (81*x^4 - 135*x^3 + 54*x^2 + 12*x - 8)^(2/3))/(9*x^2 - 12*x + 4)) + 1/9*3^(2/3)*log(-(3^(1/3)*(3*x - 2) - (81*x^4 - 135*x^3 + 54*x^2 + 12*x - 8)^(1/3))/(3*x - 2)) + 1/3*3^(1/6)*arctan(1/3*3^(1/6)*(3^(1/3)*(3*x - 2) + 2*(81*x^4 - 135*x^3 + 54*x^2 + 12*x - 8)^(1/3))/(3*x - 2))","A",0
2492,1,223,0,23.149062," ","integrate((x^2+1)/(x^2-x-1)/(x^6-1)^(1/3),x, algorithm=""fricas"")","-\frac{1}{6} \cdot 4^{\frac{1}{6}} \sqrt{3} \arctan\left(\frac{4^{\frac{1}{6}} \sqrt{3} {\left(2 \cdot 4^{\frac{2}{3}} {\left(x^{6} - 1\right)}^{\frac{2}{3}} {\left(x^{2} + x - 1\right)} - 4^{\frac{1}{3}} {\left(x^{6} - 3 \, x^{5} + 5 \, x^{3} - 3 \, x - 1\right)} - 4 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}} {\left(x^{4} + 2 \, x^{3} - x^{2} - 2 \, x + 1\right)}\right)}}{6 \, {\left(3 \, x^{6} + 3 \, x^{5} - 5 \, x^{3} + 3 \, x - 3\right)}}\right) - \frac{1}{24} \cdot 4^{\frac{2}{3}} \log\left(\frac{4^{\frac{2}{3}} {\left(x^{6} - 1\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} {\left(x^{4} + 2 \, x^{3} - x^{2} - 2 \, x + 1\right)} + 2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}} {\left(x^{2} + x - 1\right)}}{x^{4} - 2 \, x^{3} - x^{2} + 2 \, x + 1}\right) + \frac{1}{12} \cdot 4^{\frac{2}{3}} \log\left(-\frac{4^{\frac{1}{3}} {\left(x^{2} + x - 1\right)} - 2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2} - x - 1}\right)"," ",0,"-1/6*4^(1/6)*sqrt(3)*arctan(1/6*4^(1/6)*sqrt(3)*(2*4^(2/3)*(x^6 - 1)^(2/3)*(x^2 + x - 1) - 4^(1/3)*(x^6 - 3*x^5 + 5*x^3 - 3*x - 1) - 4*(x^6 - 1)^(1/3)*(x^4 + 2*x^3 - x^2 - 2*x + 1))/(3*x^6 + 3*x^5 - 5*x^3 + 3*x - 3)) - 1/24*4^(2/3)*log((4^(2/3)*(x^6 - 1)^(2/3) + 4^(1/3)*(x^4 + 2*x^3 - x^2 - 2*x + 1) + 2*(x^6 - 1)^(1/3)*(x^2 + x - 1))/(x^4 - 2*x^3 - x^2 + 2*x + 1)) + 1/12*4^(2/3)*log(-(4^(1/3)*(x^2 + x - 1) - 2*(x^6 - 1)^(1/3))/(x^2 - x - 1))","A",0
2493,1,223,0,21.518697," ","integrate((x^2+1)/(x^2-x-1)/(x^6-1)^(1/3),x, algorithm=""fricas"")","-\frac{1}{6} \cdot 4^{\frac{1}{6}} \sqrt{3} \arctan\left(\frac{4^{\frac{1}{6}} \sqrt{3} {\left(2 \cdot 4^{\frac{2}{3}} {\left(x^{6} - 1\right)}^{\frac{2}{3}} {\left(x^{2} + x - 1\right)} - 4^{\frac{1}{3}} {\left(x^{6} - 3 \, x^{5} + 5 \, x^{3} - 3 \, x - 1\right)} - 4 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}} {\left(x^{4} + 2 \, x^{3} - x^{2} - 2 \, x + 1\right)}\right)}}{6 \, {\left(3 \, x^{6} + 3 \, x^{5} - 5 \, x^{3} + 3 \, x - 3\right)}}\right) - \frac{1}{24} \cdot 4^{\frac{2}{3}} \log\left(\frac{4^{\frac{2}{3}} {\left(x^{6} - 1\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} {\left(x^{4} + 2 \, x^{3} - x^{2} - 2 \, x + 1\right)} + 2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}} {\left(x^{2} + x - 1\right)}}{x^{4} - 2 \, x^{3} - x^{2} + 2 \, x + 1}\right) + \frac{1}{12} \cdot 4^{\frac{2}{3}} \log\left(-\frac{4^{\frac{1}{3}} {\left(x^{2} + x - 1\right)} - 2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2} - x - 1}\right)"," ",0,"-1/6*4^(1/6)*sqrt(3)*arctan(1/6*4^(1/6)*sqrt(3)*(2*4^(2/3)*(x^6 - 1)^(2/3)*(x^2 + x - 1) - 4^(1/3)*(x^6 - 3*x^5 + 5*x^3 - 3*x - 1) - 4*(x^6 - 1)^(1/3)*(x^4 + 2*x^3 - x^2 - 2*x + 1))/(3*x^6 + 3*x^5 - 5*x^3 + 3*x - 3)) - 1/24*4^(2/3)*log((4^(2/3)*(x^6 - 1)^(2/3) + 4^(1/3)*(x^4 + 2*x^3 - x^2 - 2*x + 1) + 2*(x^6 - 1)^(1/3)*(x^2 + x - 1))/(x^4 - 2*x^3 - x^2 + 2*x + 1)) + 1/12*4^(2/3)*log(-(4^(1/3)*(x^2 + x - 1) - 2*(x^6 - 1)^(1/3))/(x^2 - x - 1))","A",0
2494,1,268,0,4.926238," ","integrate((4*x^6+3*x^5-2*x^4+2)*(x^7+x^6-x^5+2*x^3-x)^(1/3)/(x^6+x^5-x^4+x^2-1)^2,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} {\left(x^{6} + x^{5} - x^{4} + x^{2} - 1\right)} \arctan\left(-\frac{2 \, \sqrt{3} {\left(x^{7} + x^{6} - x^{5} + 2 \, x^{3} - x\right)}^{\frac{1}{3}} x + \sqrt{3} {\left(x^{6} + x^{5} - x^{4} + x^{2} - 1\right)} - 2 \, \sqrt{3} {\left(x^{7} + x^{6} - x^{5} + 2 \, x^{3} - x\right)}^{\frac{2}{3}}}{3 \, {\left(x^{6} + x^{5} - x^{4} + 3 \, x^{2} - 1\right)}}\right) + {\left(x^{6} + x^{5} - x^{4} + x^{2} - 1\right)} \log\left(\frac{x^{6} + x^{5} - x^{4} + x^{2} + 3 \, {\left(x^{7} + x^{6} - x^{5} + 2 \, x^{3} - x\right)}^{\frac{1}{3}} x - 3 \, {\left(x^{7} + x^{6} - x^{5} + 2 \, x^{3} - x\right)}^{\frac{2}{3}} - 1}{x^{6} + x^{5} - x^{4} + x^{2} - 1}\right) - 6 \, {\left(x^{7} + x^{6} - x^{5} + 2 \, x^{3} - x\right)}^{\frac{1}{3}} x}{6 \, {\left(x^{6} + x^{5} - x^{4} + x^{2} - 1\right)}}"," ",0,"1/6*(2*sqrt(3)*(x^6 + x^5 - x^4 + x^2 - 1)*arctan(-1/3*(2*sqrt(3)*(x^7 + x^6 - x^5 + 2*x^3 - x)^(1/3)*x + sqrt(3)*(x^6 + x^5 - x^4 + x^2 - 1) - 2*sqrt(3)*(x^7 + x^6 - x^5 + 2*x^3 - x)^(2/3))/(x^6 + x^5 - x^4 + 3*x^2 - 1)) + (x^6 + x^5 - x^4 + x^2 - 1)*log((x^6 + x^5 - x^4 + x^2 + 3*(x^7 + x^6 - x^5 + 2*x^3 - x)^(1/3)*x - 3*(x^7 + x^6 - x^5 + 2*x^3 - x)^(2/3) - 1)/(x^6 + x^5 - x^4 + x^2 - 1)) - 6*(x^7 + x^6 - x^5 + 2*x^3 - x)^(1/3)*x)/(x^6 + x^5 - x^4 + x^2 - 1)","A",0
2495,-1,0,0,0.000000," ","integrate((-1+(-1+2*k)*x)/((1-x)*x*(-k*x+1))^(1/3)/(b-(1+2*b)*x+(b+k)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2496,1,1051,0,1.410508," ","integrate((a^2*x^3+b^2)^(1/2)*(a^2*x^6+c*x^3+2*b^2)/x^7/(a^2*x^6-b^2),x, algorithm=""fricas"")","\left[-\frac{2 \, {\left(3 \, a^{2} b^{2} - a b c\right)} x^{6} \sqrt{-\frac{a - b}{b}} \log\left(\frac{a^{2} x^{3} - a b + 2 \, b^{2} + 2 \, \sqrt{a^{2} x^{3} + b^{2}} b \sqrt{-\frac{a - b}{b}}}{a x^{3} + b}\right) - 2 \, {\left(3 \, a^{2} b^{2} + a b c\right)} x^{6} \sqrt{\frac{a + b}{b}} \log\left(\frac{a^{2} x^{3} + a b + 2 \, b^{2} - 2 \, \sqrt{a^{2} x^{3} + b^{2}} b \sqrt{\frac{a + b}{b}}}{a x^{3} - b}\right) + {\left(a^{4} - 12 \, a^{2} b^{2} - 2 \, a^{2} c\right)} x^{6} \log\left(b + \sqrt{a^{2} x^{3} + b^{2}}\right) - {\left(a^{4} - 12 \, a^{2} b^{2} - 2 \, a^{2} c\right)} x^{6} \log\left(-b + \sqrt{a^{2} x^{3} + b^{2}}\right) - 2 \, \sqrt{a^{2} x^{3} + b^{2}} {\left({\left(a^{2} b + 2 \, b c\right)} x^{3} + 2 \, b^{3}\right)}}{12 \, b^{3} x^{6}}, \frac{4 \, {\left(3 \, a^{2} b^{2} - a b c\right)} x^{6} \sqrt{\frac{a - b}{b}} \arctan\left(\frac{b \sqrt{\frac{a - b}{b}}}{\sqrt{a^{2} x^{3} + b^{2}}}\right) + 2 \, {\left(3 \, a^{2} b^{2} + a b c\right)} x^{6} \sqrt{\frac{a + b}{b}} \log\left(\frac{a^{2} x^{3} + a b + 2 \, b^{2} - 2 \, \sqrt{a^{2} x^{3} + b^{2}} b \sqrt{\frac{a + b}{b}}}{a x^{3} - b}\right) - {\left(a^{4} - 12 \, a^{2} b^{2} - 2 \, a^{2} c\right)} x^{6} \log\left(b + \sqrt{a^{2} x^{3} + b^{2}}\right) + {\left(a^{4} - 12 \, a^{2} b^{2} - 2 \, a^{2} c\right)} x^{6} \log\left(-b + \sqrt{a^{2} x^{3} + b^{2}}\right) + 2 \, \sqrt{a^{2} x^{3} + b^{2}} {\left({\left(a^{2} b + 2 \, b c\right)} x^{3} + 2 \, b^{3}\right)}}{12 \, b^{3} x^{6}}, \frac{4 \, {\left(3 \, a^{2} b^{2} + a b c\right)} x^{6} \sqrt{-\frac{a + b}{b}} \arctan\left(\frac{b \sqrt{-\frac{a + b}{b}}}{\sqrt{a^{2} x^{3} + b^{2}}}\right) - 2 \, {\left(3 \, a^{2} b^{2} - a b c\right)} x^{6} \sqrt{-\frac{a - b}{b}} \log\left(\frac{a^{2} x^{3} - a b + 2 \, b^{2} + 2 \, \sqrt{a^{2} x^{3} + b^{2}} b \sqrt{-\frac{a - b}{b}}}{a x^{3} + b}\right) - {\left(a^{4} - 12 \, a^{2} b^{2} - 2 \, a^{2} c\right)} x^{6} \log\left(b + \sqrt{a^{2} x^{3} + b^{2}}\right) + {\left(a^{4} - 12 \, a^{2} b^{2} - 2 \, a^{2} c\right)} x^{6} \log\left(-b + \sqrt{a^{2} x^{3} + b^{2}}\right) + 2 \, \sqrt{a^{2} x^{3} + b^{2}} {\left({\left(a^{2} b + 2 \, b c\right)} x^{3} + 2 \, b^{3}\right)}}{12 \, b^{3} x^{6}}, \frac{4 \, {\left(3 \, a^{2} b^{2} + a b c\right)} x^{6} \sqrt{-\frac{a + b}{b}} \arctan\left(\frac{b \sqrt{-\frac{a + b}{b}}}{\sqrt{a^{2} x^{3} + b^{2}}}\right) + 4 \, {\left(3 \, a^{2} b^{2} - a b c\right)} x^{6} \sqrt{\frac{a - b}{b}} \arctan\left(\frac{b \sqrt{\frac{a - b}{b}}}{\sqrt{a^{2} x^{3} + b^{2}}}\right) - {\left(a^{4} - 12 \, a^{2} b^{2} - 2 \, a^{2} c\right)} x^{6} \log\left(b + \sqrt{a^{2} x^{3} + b^{2}}\right) + {\left(a^{4} - 12 \, a^{2} b^{2} - 2 \, a^{2} c\right)} x^{6} \log\left(-b + \sqrt{a^{2} x^{3} + b^{2}}\right) + 2 \, \sqrt{a^{2} x^{3} + b^{2}} {\left({\left(a^{2} b + 2 \, b c\right)} x^{3} + 2 \, b^{3}\right)}}{12 \, b^{3} x^{6}}\right]"," ",0,"[-1/12*(2*(3*a^2*b^2 - a*b*c)*x^6*sqrt(-(a - b)/b)*log((a^2*x^3 - a*b + 2*b^2 + 2*sqrt(a^2*x^3 + b^2)*b*sqrt(-(a - b)/b))/(a*x^3 + b)) - 2*(3*a^2*b^2 + a*b*c)*x^6*sqrt((a + b)/b)*log((a^2*x^3 + a*b + 2*b^2 - 2*sqrt(a^2*x^3 + b^2)*b*sqrt((a + b)/b))/(a*x^3 - b)) + (a^4 - 12*a^2*b^2 - 2*a^2*c)*x^6*log(b + sqrt(a^2*x^3 + b^2)) - (a^4 - 12*a^2*b^2 - 2*a^2*c)*x^6*log(-b + sqrt(a^2*x^3 + b^2)) - 2*sqrt(a^2*x^3 + b^2)*((a^2*b + 2*b*c)*x^3 + 2*b^3))/(b^3*x^6), 1/12*(4*(3*a^2*b^2 - a*b*c)*x^6*sqrt((a - b)/b)*arctan(b*sqrt((a - b)/b)/sqrt(a^2*x^3 + b^2)) + 2*(3*a^2*b^2 + a*b*c)*x^6*sqrt((a + b)/b)*log((a^2*x^3 + a*b + 2*b^2 - 2*sqrt(a^2*x^3 + b^2)*b*sqrt((a + b)/b))/(a*x^3 - b)) - (a^4 - 12*a^2*b^2 - 2*a^2*c)*x^6*log(b + sqrt(a^2*x^3 + b^2)) + (a^4 - 12*a^2*b^2 - 2*a^2*c)*x^6*log(-b + sqrt(a^2*x^3 + b^2)) + 2*sqrt(a^2*x^3 + b^2)*((a^2*b + 2*b*c)*x^3 + 2*b^3))/(b^3*x^6), 1/12*(4*(3*a^2*b^2 + a*b*c)*x^6*sqrt(-(a + b)/b)*arctan(b*sqrt(-(a + b)/b)/sqrt(a^2*x^3 + b^2)) - 2*(3*a^2*b^2 - a*b*c)*x^6*sqrt(-(a - b)/b)*log((a^2*x^3 - a*b + 2*b^2 + 2*sqrt(a^2*x^3 + b^2)*b*sqrt(-(a - b)/b))/(a*x^3 + b)) - (a^4 - 12*a^2*b^2 - 2*a^2*c)*x^6*log(b + sqrt(a^2*x^3 + b^2)) + (a^4 - 12*a^2*b^2 - 2*a^2*c)*x^6*log(-b + sqrt(a^2*x^3 + b^2)) + 2*sqrt(a^2*x^3 + b^2)*((a^2*b + 2*b*c)*x^3 + 2*b^3))/(b^3*x^6), 1/12*(4*(3*a^2*b^2 + a*b*c)*x^6*sqrt(-(a + b)/b)*arctan(b*sqrt(-(a + b)/b)/sqrt(a^2*x^3 + b^2)) + 4*(3*a^2*b^2 - a*b*c)*x^6*sqrt((a - b)/b)*arctan(b*sqrt((a - b)/b)/sqrt(a^2*x^3 + b^2)) - (a^4 - 12*a^2*b^2 - 2*a^2*c)*x^6*log(b + sqrt(a^2*x^3 + b^2)) + (a^4 - 12*a^2*b^2 - 2*a^2*c)*x^6*log(-b + sqrt(a^2*x^3 + b^2)) + 2*sqrt(a^2*x^3 + b^2)*((a^2*b + 2*b*c)*x^3 + 2*b^3))/(b^3*x^6)]","A",0
2497,1,431,0,0.523442," ","integrate(x^7*(-4*a+3*x)/(x^2*(-a+x))^(2/3)/(d*x^8-a^2+2*a*x-x^2),x, algorithm=""fricas"")","-\sqrt{3} \frac{1}{d^{5}}^{\frac{1}{6}} \arctan\left(\frac{2 \, \sqrt{3} d^{4} \frac{1}{d^{5}}^{\frac{5}{6}} x^{2} \sqrt{\frac{d^{2} \frac{1}{d^{5}}^{\frac{1}{3}} x^{4} + {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d \frac{1}{d^{5}}^{\frac{1}{6}} x^{2} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}}}{x^{4}}} + 2 \, \sqrt{3} {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d^{4} \frac{1}{d^{5}}^{\frac{5}{6}} + \sqrt{3} x^{2}}{3 \, x^{2}}\right) - \sqrt{3} \frac{1}{d^{5}}^{\frac{1}{6}} \arctan\left(\frac{2 \, \sqrt{3} d^{4} \frac{1}{d^{5}}^{\frac{5}{6}} x^{2} \sqrt{\frac{d^{2} \frac{1}{d^{5}}^{\frac{1}{3}} x^{4} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d \frac{1}{d^{5}}^{\frac{1}{6}} x^{2} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}}}{x^{4}}} + 2 \, \sqrt{3} {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d^{4} \frac{1}{d^{5}}^{\frac{5}{6}} - \sqrt{3} x^{2}}{3 \, x^{2}}\right) - \frac{1}{2} \, \frac{1}{d^{5}}^{\frac{1}{6}} \log\left(-\frac{d \frac{1}{d^{5}}^{\frac{1}{6}} x^{2} + {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}}}{x^{2}}\right) + \frac{1}{2} \, \frac{1}{d^{5}}^{\frac{1}{6}} \log\left(\frac{d \frac{1}{d^{5}}^{\frac{1}{6}} x^{2} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}}}{x^{2}}\right) - \frac{1}{4} \, \frac{1}{d^{5}}^{\frac{1}{6}} \log\left(\frac{d^{2} \frac{1}{d^{5}}^{\frac{1}{3}} x^{4} + {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d \frac{1}{d^{5}}^{\frac{1}{6}} x^{2} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}}}{x^{4}}\right) + \frac{1}{4} \, \frac{1}{d^{5}}^{\frac{1}{6}} \log\left(\frac{d^{2} \frac{1}{d^{5}}^{\frac{1}{3}} x^{4} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} d \frac{1}{d^{5}}^{\frac{1}{6}} x^{2} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}}}{x^{4}}\right)"," ",0,"-sqrt(3)*(d^(-5))^(1/6)*arctan(1/3*(2*sqrt(3)*d^4*(d^(-5))^(5/6)*x^2*sqrt((d^2*(d^(-5))^(1/3)*x^4 + (-a*x^2 + x^3)^(1/3)*d*(d^(-5))^(1/6)*x^2 + (-a*x^2 + x^3)^(2/3))/x^4) + 2*sqrt(3)*(-a*x^2 + x^3)^(1/3)*d^4*(d^(-5))^(5/6) + sqrt(3)*x^2)/x^2) - sqrt(3)*(d^(-5))^(1/6)*arctan(1/3*(2*sqrt(3)*d^4*(d^(-5))^(5/6)*x^2*sqrt((d^2*(d^(-5))^(1/3)*x^4 - (-a*x^2 + x^3)^(1/3)*d*(d^(-5))^(1/6)*x^2 + (-a*x^2 + x^3)^(2/3))/x^4) + 2*sqrt(3)*(-a*x^2 + x^3)^(1/3)*d^4*(d^(-5))^(5/6) - sqrt(3)*x^2)/x^2) - 1/2*(d^(-5))^(1/6)*log(-(d*(d^(-5))^(1/6)*x^2 + (-a*x^2 + x^3)^(1/3))/x^2) + 1/2*(d^(-5))^(1/6)*log((d*(d^(-5))^(1/6)*x^2 - (-a*x^2 + x^3)^(1/3))/x^2) - 1/4*(d^(-5))^(1/6)*log((d^2*(d^(-5))^(1/3)*x^4 + (-a*x^2 + x^3)^(1/3)*d*(d^(-5))^(1/6)*x^2 + (-a*x^2 + x^3)^(2/3))/x^4) + 1/4*(d^(-5))^(1/6)*log((d^2*(d^(-5))^(1/3)*x^4 - (-a*x^2 + x^3)^(1/3)*d*(d^(-5))^(1/6)*x^2 + (-a*x^2 + x^3)^(2/3))/x^4)","B",0
2498,-1,0,0,0.000000," ","integrate((-1+2*x+(k^2-2*k)*x^2)/((1-x)*x*(-k*x+1))^(2/3)/(b-(2*b*k+1)*x+(b*k^2+1)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2499,1,1790,0,0.926966," ","integrate(1/(x^3-x^2)^(1/3)/(x^4-1),x, algorithm=""fricas"")","\frac{2 \cdot 2^{\frac{5}{6}} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \log\left(-\frac{4 \, {\left(2 \cdot 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{2} + 2 \cdot 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) - 2^{\frac{1}{3}} x^{2} - 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x - {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + 8 \cdot 2^{\frac{5}{6}} {\left(x^{2} - x\right)} \arctan\left(-\frac{2 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{2} + 2 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) + 2^{\frac{1}{3}} x \sqrt{-\frac{2 \cdot 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{2} + 2 \cdot 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) - 2^{\frac{1}{3}} x^{2} - 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x - {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - x - 2^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{2 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{2} - 2 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) - x}\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) + 2 \, \sqrt{3} 2^{\frac{2}{3}} {\left(x^{2} - x\right)} \arctan\left(\frac{\sqrt{3} 2^{\frac{1}{6}} {\left(2^{\frac{5}{6}} x + 2 \, \sqrt{2} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\right)}}{6 \, x}\right) + 2 \cdot 2^{\frac{2}{3}} {\left(x^{2} - x\right)} \log\left(-\frac{2^{\frac{1}{3}} x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) - 2^{\frac{2}{3}} {\left(x^{2} - x\right)} \log\left(\frac{2^{\frac{2}{3}} x^{2} + 2^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - 4 \, {\left(\sqrt{3} 2^{\frac{5}{6}} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) + 2^{\frac{5}{6}} {\left(x^{2} - x\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)\right)} \arctan\left(\frac{32 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{4} - 4 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{1}{3}} + 2^{\frac{1}{3}}\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) - 4 \, {\left({\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{1}{3}} - 2^{\frac{1}{3}}\right)} + 8 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{2} + \sqrt{2} {\left(2 \, {\left(\sqrt{3} 2^{\frac{1}{3}} x - 2^{\frac{1}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{2} + 2 \, {\left(\sqrt{3} 2^{\frac{1}{3}} x + 2^{\frac{1}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) - \sqrt{3} 2^{\frac{1}{3}} x + 2^{\frac{1}{3}} x\right)} \sqrt{-\frac{2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2^{\frac{2}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{2} - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2^{\frac{2}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) - 2 \cdot 2^{\frac{1}{3}} x^{2} - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2^{\frac{2}{3}} x\right)} - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, \sqrt{3} x + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{1}{3}} - 2^{\frac{1}{3}}\right)} + 4 \, x}{2 \, {\left(8 \, {\left(2 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{3} - x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) + x\right)}}\right) - 4 \, {\left(\sqrt{3} 2^{\frac{5}{6}} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) - 2^{\frac{5}{6}} {\left(x^{2} - x\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)\right)} \arctan\left(-\frac{32 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{4} + 4 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{1}{3}} - 2^{\frac{1}{3}}\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) + 4 \, {\left({\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{1}{3}} + 2^{\frac{1}{3}}\right)} - 8 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{2} - \sqrt{2} {\left(2 \, {\left(\sqrt{3} 2^{\frac{1}{3}} x + 2^{\frac{1}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{2} + 2 \, {\left(\sqrt{3} 2^{\frac{1}{3}} x - 2^{\frac{1}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) - \sqrt{3} 2^{\frac{1}{3}} x - 2^{\frac{1}{3}} x\right)} \sqrt{\frac{2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2^{\frac{2}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{2} - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2^{\frac{2}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) + 2 \cdot 2^{\frac{1}{3}} x^{2} - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2^{\frac{2}{3}} x\right)} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 2 \, \sqrt{3} x - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{1}{3}} + 2^{\frac{1}{3}}\right)} + 4 \, x}{2 \, {\left(8 \, {\left(2 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{3} - x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) + x\right)}}\right) - {\left(\sqrt{3} 2^{\frac{5}{6}} {\left(x^{2} - x\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) + 2^{\frac{5}{6}} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)\right)} \log\left(\frac{8 \, {\left(2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2^{\frac{2}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{2} - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2^{\frac{2}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) + 2 \cdot 2^{\frac{1}{3}} x^{2} - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2^{\frac{2}{3}} x\right)} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + {\left(\sqrt{3} 2^{\frac{5}{6}} {\left(x^{2} - x\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) - 2^{\frac{5}{6}} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)\right)} \log\left(-\frac{8 \, {\left(2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2^{\frac{2}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{2} - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2^{\frac{2}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) - 2 \cdot 2^{\frac{1}{3}} x^{2} - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2^{\frac{2}{3}} x\right)} - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{16 \, {\left(x^{2} - x\right)}}"," ",0,"1/16*(2*2^(5/6)*(x^2 - x)*cos(2/3*arctan(sqrt(2) - 1))*log(-4*(2*2^(2/3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(2) - 1))^2 + 2*2^(2/3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(2) - 1))*sin(2/3*arctan(sqrt(2) - 1)) - 2^(1/3)*x^2 - 2^(2/3)*(x^3 - x^2)^(1/3)*x - (x^3 - x^2)^(2/3))/x^2) + 8*2^(5/6)*(x^2 - x)*arctan(-(2*x*cos(2/3*arctan(sqrt(2) - 1))^2 + 2*x*cos(2/3*arctan(sqrt(2) - 1))*sin(2/3*arctan(sqrt(2) - 1)) + 2^(1/3)*x*sqrt(-(2*2^(2/3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(2) - 1))^2 + 2*2^(2/3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(2) - 1))*sin(2/3*arctan(sqrt(2) - 1)) - 2^(1/3)*x^2 - 2^(2/3)*(x^3 - x^2)^(1/3)*x - (x^3 - x^2)^(2/3))/x^2) - x - 2^(1/3)*(x^3 - x^2)^(1/3))/(2*x*cos(2/3*arctan(sqrt(2) - 1))^2 - 2*x*cos(2/3*arctan(sqrt(2) - 1))*sin(2/3*arctan(sqrt(2) - 1)) - x))*sin(2/3*arctan(sqrt(2) - 1)) + 2*sqrt(3)*2^(2/3)*(x^2 - x)*arctan(1/6*sqrt(3)*2^(1/6)*(2^(5/6)*x + 2*sqrt(2)*(x^3 - x^2)^(1/3))/x) + 2*2^(2/3)*(x^2 - x)*log(-(2^(1/3)*x - (x^3 - x^2)^(1/3))/x) - 2^(2/3)*(x^2 - x)*log((2^(2/3)*x^2 + 2^(1/3)*(x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(2/3))/x^2) - 4*(sqrt(3)*2^(5/6)*(x^2 - x)*cos(2/3*arctan(sqrt(2) - 1)) + 2^(5/6)*(x^2 - x)*sin(2/3*arctan(sqrt(2) - 1)))*arctan(1/2*(32*x*cos(2/3*arctan(sqrt(2) - 1))^4 - 4*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(1/3) + 2^(1/3))*cos(2/3*arctan(sqrt(2) - 1))*sin(2/3*arctan(sqrt(2) - 1)) - 4*((x^3 - x^2)^(1/3)*(sqrt(3)*2^(1/3) - 2^(1/3)) + 8*x)*cos(2/3*arctan(sqrt(2) - 1))^2 + sqrt(2)*(2*(sqrt(3)*2^(1/3)*x - 2^(1/3)*x)*cos(2/3*arctan(sqrt(2) - 1))^2 + 2*(sqrt(3)*2^(1/3)*x + 2^(1/3)*x)*cos(2/3*arctan(sqrt(2) - 1))*sin(2/3*arctan(sqrt(2) - 1)) - sqrt(3)*2^(1/3)*x + 2^(1/3)*x)*sqrt(-(2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2^(2/3)*x)*cos(2/3*arctan(sqrt(2) - 1))^2 - 2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + 2^(2/3)*x)*cos(2/3*arctan(sqrt(2) - 1))*sin(2/3*arctan(sqrt(2) - 1)) - 2*2^(1/3)*x^2 - (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2^(2/3)*x) - 2*(x^3 - x^2)^(2/3))/x^2) - 2*sqrt(3)*x + 2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(1/3) - 2^(1/3)) + 4*x)/(8*(2*x*cos(2/3*arctan(sqrt(2) - 1))^3 - x*cos(2/3*arctan(sqrt(2) - 1)))*sin(2/3*arctan(sqrt(2) - 1)) + x)) - 4*(sqrt(3)*2^(5/6)*(x^2 - x)*cos(2/3*arctan(sqrt(2) - 1)) - 2^(5/6)*(x^2 - x)*sin(2/3*arctan(sqrt(2) - 1)))*arctan(-1/2*(32*x*cos(2/3*arctan(sqrt(2) - 1))^4 + 4*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(1/3) - 2^(1/3))*cos(2/3*arctan(sqrt(2) - 1))*sin(2/3*arctan(sqrt(2) - 1)) + 4*((x^3 - x^2)^(1/3)*(sqrt(3)*2^(1/3) + 2^(1/3)) - 8*x)*cos(2/3*arctan(sqrt(2) - 1))^2 - sqrt(2)*(2*(sqrt(3)*2^(1/3)*x + 2^(1/3)*x)*cos(2/3*arctan(sqrt(2) - 1))^2 + 2*(sqrt(3)*2^(1/3)*x - 2^(1/3)*x)*cos(2/3*arctan(sqrt(2) - 1))*sin(2/3*arctan(sqrt(2) - 1)) - sqrt(3)*2^(1/3)*x - 2^(1/3)*x)*sqrt((2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + 2^(2/3)*x)*cos(2/3*arctan(sqrt(2) - 1))^2 - 2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2^(2/3)*x)*cos(2/3*arctan(sqrt(2) - 1))*sin(2/3*arctan(sqrt(2) - 1)) + 2*2^(1/3)*x^2 - (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + 2^(2/3)*x) + 2*(x^3 - x^2)^(2/3))/x^2) + 2*sqrt(3)*x - 2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(1/3) + 2^(1/3)) + 4*x)/(8*(2*x*cos(2/3*arctan(sqrt(2) - 1))^3 - x*cos(2/3*arctan(sqrt(2) - 1)))*sin(2/3*arctan(sqrt(2) - 1)) + x)) - (sqrt(3)*2^(5/6)*(x^2 - x)*sin(2/3*arctan(sqrt(2) - 1)) + 2^(5/6)*(x^2 - x)*cos(2/3*arctan(sqrt(2) - 1)))*log(8*(2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + 2^(2/3)*x)*cos(2/3*arctan(sqrt(2) - 1))^2 - 2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2^(2/3)*x)*cos(2/3*arctan(sqrt(2) - 1))*sin(2/3*arctan(sqrt(2) - 1)) + 2*2^(1/3)*x^2 - (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + 2^(2/3)*x) + 2*(x^3 - x^2)^(2/3))/x^2) + (sqrt(3)*2^(5/6)*(x^2 - x)*sin(2/3*arctan(sqrt(2) - 1)) - 2^(5/6)*(x^2 - x)*cos(2/3*arctan(sqrt(2) - 1)))*log(-8*(2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2^(2/3)*x)*cos(2/3*arctan(sqrt(2) - 1))^2 - 2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + 2^(2/3)*x)*cos(2/3*arctan(sqrt(2) - 1))*sin(2/3*arctan(sqrt(2) - 1)) - 2*2^(1/3)*x^2 - (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2^(2/3)*x) - 2*(x^3 - x^2)^(2/3))/x^2) - 12*(x^3 - x^2)^(2/3))/(x^2 - x)","B",0
2500,1,1790,0,0.924971," ","integrate(1/(x^3-x^2)^(1/3)/(x^4-1),x, algorithm=""fricas"")","\frac{2 \cdot 2^{\frac{5}{6}} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \log\left(-\frac{4 \, {\left(2 \cdot 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{2} + 2 \cdot 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) - 2^{\frac{1}{3}} x^{2} - 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x - {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + 8 \cdot 2^{\frac{5}{6}} {\left(x^{2} - x\right)} \arctan\left(-\frac{2 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{2} + 2 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) + 2^{\frac{1}{3}} x \sqrt{-\frac{2 \cdot 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{2} + 2 \cdot 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) - 2^{\frac{1}{3}} x^{2} - 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x - {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - x - 2^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{2 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{2} - 2 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) - x}\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) + 2 \, \sqrt{3} 2^{\frac{2}{3}} {\left(x^{2} - x\right)} \arctan\left(\frac{\sqrt{3} 2^{\frac{1}{6}} {\left(2^{\frac{5}{6}} x + 2 \, \sqrt{2} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\right)}}{6 \, x}\right) + 2 \cdot 2^{\frac{2}{3}} {\left(x^{2} - x\right)} \log\left(-\frac{2^{\frac{1}{3}} x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) - 2^{\frac{2}{3}} {\left(x^{2} - x\right)} \log\left(\frac{2^{\frac{2}{3}} x^{2} + 2^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - 4 \, {\left(\sqrt{3} 2^{\frac{5}{6}} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) + 2^{\frac{5}{6}} {\left(x^{2} - x\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)\right)} \arctan\left(\frac{32 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{4} - 4 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{1}{3}} + 2^{\frac{1}{3}}\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) - 4 \, {\left({\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{1}{3}} - 2^{\frac{1}{3}}\right)} + 8 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{2} + \sqrt{2} {\left(2 \, {\left(\sqrt{3} 2^{\frac{1}{3}} x - 2^{\frac{1}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{2} + 2 \, {\left(\sqrt{3} 2^{\frac{1}{3}} x + 2^{\frac{1}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) - \sqrt{3} 2^{\frac{1}{3}} x + 2^{\frac{1}{3}} x\right)} \sqrt{-\frac{2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2^{\frac{2}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{2} - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2^{\frac{2}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) - 2 \cdot 2^{\frac{1}{3}} x^{2} - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2^{\frac{2}{3}} x\right)} - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, \sqrt{3} x + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{1}{3}} - 2^{\frac{1}{3}}\right)} + 4 \, x}{2 \, {\left(8 \, {\left(2 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{3} - x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) + x\right)}}\right) - 4 \, {\left(\sqrt{3} 2^{\frac{5}{6}} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) - 2^{\frac{5}{6}} {\left(x^{2} - x\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)\right)} \arctan\left(-\frac{32 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{4} + 4 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{1}{3}} - 2^{\frac{1}{3}}\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) + 4 \, {\left({\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{1}{3}} + 2^{\frac{1}{3}}\right)} - 8 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{2} - \sqrt{2} {\left(2 \, {\left(\sqrt{3} 2^{\frac{1}{3}} x + 2^{\frac{1}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{2} + 2 \, {\left(\sqrt{3} 2^{\frac{1}{3}} x - 2^{\frac{1}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) - \sqrt{3} 2^{\frac{1}{3}} x - 2^{\frac{1}{3}} x\right)} \sqrt{\frac{2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2^{\frac{2}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{2} - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2^{\frac{2}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) + 2 \cdot 2^{\frac{1}{3}} x^{2} - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2^{\frac{2}{3}} x\right)} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 2 \, \sqrt{3} x - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{1}{3}} + 2^{\frac{1}{3}}\right)} + 4 \, x}{2 \, {\left(8 \, {\left(2 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{3} - x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) + x\right)}}\right) - {\left(\sqrt{3} 2^{\frac{5}{6}} {\left(x^{2} - x\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) + 2^{\frac{5}{6}} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)\right)} \log\left(\frac{8 \, {\left(2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2^{\frac{2}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{2} - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2^{\frac{2}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) + 2 \cdot 2^{\frac{1}{3}} x^{2} - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2^{\frac{2}{3}} x\right)} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + {\left(\sqrt{3} 2^{\frac{5}{6}} {\left(x^{2} - x\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) - 2^{\frac{5}{6}} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)\right)} \log\left(-\frac{8 \, {\left(2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2^{\frac{2}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right)^{2} - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2^{\frac{2}{3}} x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} - 1\right)\right) - 2 \cdot 2^{\frac{1}{3}} x^{2} - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2^{\frac{2}{3}} x\right)} - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{16 \, {\left(x^{2} - x\right)}}"," ",0,"1/16*(2*2^(5/6)*(x^2 - x)*cos(2/3*arctan(sqrt(2) - 1))*log(-4*(2*2^(2/3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(2) - 1))^2 + 2*2^(2/3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(2) - 1))*sin(2/3*arctan(sqrt(2) - 1)) - 2^(1/3)*x^2 - 2^(2/3)*(x^3 - x^2)^(1/3)*x - (x^3 - x^2)^(2/3))/x^2) + 8*2^(5/6)*(x^2 - x)*arctan(-(2*x*cos(2/3*arctan(sqrt(2) - 1))^2 + 2*x*cos(2/3*arctan(sqrt(2) - 1))*sin(2/3*arctan(sqrt(2) - 1)) + 2^(1/3)*x*sqrt(-(2*2^(2/3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(2) - 1))^2 + 2*2^(2/3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(2) - 1))*sin(2/3*arctan(sqrt(2) - 1)) - 2^(1/3)*x^2 - 2^(2/3)*(x^3 - x^2)^(1/3)*x - (x^3 - x^2)^(2/3))/x^2) - x - 2^(1/3)*(x^3 - x^2)^(1/3))/(2*x*cos(2/3*arctan(sqrt(2) - 1))^2 - 2*x*cos(2/3*arctan(sqrt(2) - 1))*sin(2/3*arctan(sqrt(2) - 1)) - x))*sin(2/3*arctan(sqrt(2) - 1)) + 2*sqrt(3)*2^(2/3)*(x^2 - x)*arctan(1/6*sqrt(3)*2^(1/6)*(2^(5/6)*x + 2*sqrt(2)*(x^3 - x^2)^(1/3))/x) + 2*2^(2/3)*(x^2 - x)*log(-(2^(1/3)*x - (x^3 - x^2)^(1/3))/x) - 2^(2/3)*(x^2 - x)*log((2^(2/3)*x^2 + 2^(1/3)*(x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(2/3))/x^2) - 4*(sqrt(3)*2^(5/6)*(x^2 - x)*cos(2/3*arctan(sqrt(2) - 1)) + 2^(5/6)*(x^2 - x)*sin(2/3*arctan(sqrt(2) - 1)))*arctan(1/2*(32*x*cos(2/3*arctan(sqrt(2) - 1))^4 - 4*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(1/3) + 2^(1/3))*cos(2/3*arctan(sqrt(2) - 1))*sin(2/3*arctan(sqrt(2) - 1)) - 4*((x^3 - x^2)^(1/3)*(sqrt(3)*2^(1/3) - 2^(1/3)) + 8*x)*cos(2/3*arctan(sqrt(2) - 1))^2 + sqrt(2)*(2*(sqrt(3)*2^(1/3)*x - 2^(1/3)*x)*cos(2/3*arctan(sqrt(2) - 1))^2 + 2*(sqrt(3)*2^(1/3)*x + 2^(1/3)*x)*cos(2/3*arctan(sqrt(2) - 1))*sin(2/3*arctan(sqrt(2) - 1)) - sqrt(3)*2^(1/3)*x + 2^(1/3)*x)*sqrt(-(2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2^(2/3)*x)*cos(2/3*arctan(sqrt(2) - 1))^2 - 2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + 2^(2/3)*x)*cos(2/3*arctan(sqrt(2) - 1))*sin(2/3*arctan(sqrt(2) - 1)) - 2*2^(1/3)*x^2 - (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2^(2/3)*x) - 2*(x^3 - x^2)^(2/3))/x^2) - 2*sqrt(3)*x + 2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(1/3) - 2^(1/3)) + 4*x)/(8*(2*x*cos(2/3*arctan(sqrt(2) - 1))^3 - x*cos(2/3*arctan(sqrt(2) - 1)))*sin(2/3*arctan(sqrt(2) - 1)) + x)) - 4*(sqrt(3)*2^(5/6)*(x^2 - x)*cos(2/3*arctan(sqrt(2) - 1)) - 2^(5/6)*(x^2 - x)*sin(2/3*arctan(sqrt(2) - 1)))*arctan(-1/2*(32*x*cos(2/3*arctan(sqrt(2) - 1))^4 + 4*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(1/3) - 2^(1/3))*cos(2/3*arctan(sqrt(2) - 1))*sin(2/3*arctan(sqrt(2) - 1)) + 4*((x^3 - x^2)^(1/3)*(sqrt(3)*2^(1/3) + 2^(1/3)) - 8*x)*cos(2/3*arctan(sqrt(2) - 1))^2 - sqrt(2)*(2*(sqrt(3)*2^(1/3)*x + 2^(1/3)*x)*cos(2/3*arctan(sqrt(2) - 1))^2 + 2*(sqrt(3)*2^(1/3)*x - 2^(1/3)*x)*cos(2/3*arctan(sqrt(2) - 1))*sin(2/3*arctan(sqrt(2) - 1)) - sqrt(3)*2^(1/3)*x - 2^(1/3)*x)*sqrt((2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + 2^(2/3)*x)*cos(2/3*arctan(sqrt(2) - 1))^2 - 2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2^(2/3)*x)*cos(2/3*arctan(sqrt(2) - 1))*sin(2/3*arctan(sqrt(2) - 1)) + 2*2^(1/3)*x^2 - (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + 2^(2/3)*x) + 2*(x^3 - x^2)^(2/3))/x^2) + 2*sqrt(3)*x - 2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(1/3) + 2^(1/3)) + 4*x)/(8*(2*x*cos(2/3*arctan(sqrt(2) - 1))^3 - x*cos(2/3*arctan(sqrt(2) - 1)))*sin(2/3*arctan(sqrt(2) - 1)) + x)) - (sqrt(3)*2^(5/6)*(x^2 - x)*sin(2/3*arctan(sqrt(2) - 1)) + 2^(5/6)*(x^2 - x)*cos(2/3*arctan(sqrt(2) - 1)))*log(8*(2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + 2^(2/3)*x)*cos(2/3*arctan(sqrt(2) - 1))^2 - 2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2^(2/3)*x)*cos(2/3*arctan(sqrt(2) - 1))*sin(2/3*arctan(sqrt(2) - 1)) + 2*2^(1/3)*x^2 - (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + 2^(2/3)*x) + 2*(x^3 - x^2)^(2/3))/x^2) + (sqrt(3)*2^(5/6)*(x^2 - x)*sin(2/3*arctan(sqrt(2) - 1)) - 2^(5/6)*(x^2 - x)*cos(2/3*arctan(sqrt(2) - 1)))*log(-8*(2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2^(2/3)*x)*cos(2/3*arctan(sqrt(2) - 1))^2 - 2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + 2^(2/3)*x)*cos(2/3*arctan(sqrt(2) - 1))*sin(2/3*arctan(sqrt(2) - 1)) - 2*2^(1/3)*x^2 - (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2^(2/3)*x) - 2*(x^3 - x^2)^(2/3))/x^2) - 12*(x^3 - x^2)^(2/3))/(x^2 - x)","B",0
2501,1,365,0,2.179215," ","integrate((x^4-x^2)^(1/3)/x/(x^2+1),x, algorithm=""fricas"")","-\frac{1}{12} \cdot 4^{\frac{1}{6}} \sqrt{3} \left(-1\right)^{\frac{1}{3}} \arctan\left(-\frac{4^{\frac{1}{6}} \sqrt{3} {\left(6 \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{10} - 33 \, x^{8} + 110 \, x^{6} - 110 \, x^{4} + 33 \, x^{2} - 1\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} - 48 \, \left(-1\right)^{\frac{1}{3}} {\left(x^{8} - 2 \, x^{6} - 6 \, x^{4} - 2 \, x^{2} + 1\right)} {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} {\left(x^{12} + 42 \, x^{10} - 417 \, x^{8} + 812 \, x^{6} - 417 \, x^{4} + 42 \, x^{2} + 1\right)}\right)}}{6 \, {\left(x^{12} - 102 \, x^{10} + 447 \, x^{8} - 628 \, x^{6} + 447 \, x^{4} - 102 \, x^{2} + 1\right)}}\right) - \frac{1}{48} \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(\frac{24 \cdot 4^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(x^{4} - 4 \, x^{2} + 1\right)} - 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{8} - 32 \, x^{6} + 78 \, x^{4} - 32 \, x^{2} + 1\right)} - 12 \, {\left(x^{6} - 11 \, x^{4} + 11 \, x^{2} - 1\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}}}{x^{8} + 4 \, x^{6} + 6 \, x^{4} + 4 \, x^{2} + 1}\right) + \frac{1}{24} \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(-\frac{3 \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{2} - 1\right)} - 4^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{4} + 2 \, x^{2} + 1\right)} - 12 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}}}{x^{4} + 2 \, x^{2} + 1}\right)"," ",0,"-1/12*4^(1/6)*sqrt(3)*(-1)^(1/3)*arctan(-1/6*4^(1/6)*sqrt(3)*(6*4^(2/3)*(-1)^(2/3)*(x^10 - 33*x^8 + 110*x^6 - 110*x^4 + 33*x^2 - 1)*(x^4 - x^2)^(1/3) - 48*(-1)^(1/3)*(x^8 - 2*x^6 - 6*x^4 - 2*x^2 + 1)*(x^4 - x^2)^(2/3) + 4^(1/3)*(x^12 + 42*x^10 - 417*x^8 + 812*x^6 - 417*x^4 + 42*x^2 + 1))/(x^12 - 102*x^10 + 447*x^8 - 628*x^6 + 447*x^4 - 102*x^2 + 1)) - 1/48*4^(2/3)*(-1)^(1/3)*log((24*4^(1/3)*(-1)^(2/3)*(x^4 - x^2)^(2/3)*(x^4 - 4*x^2 + 1) - 4^(2/3)*(-1)^(1/3)*(x^8 - 32*x^6 + 78*x^4 - 32*x^2 + 1) - 12*(x^6 - 11*x^4 + 11*x^2 - 1)*(x^4 - x^2)^(1/3))/(x^8 + 4*x^6 + 6*x^4 + 4*x^2 + 1)) + 1/24*4^(2/3)*(-1)^(1/3)*log(-(3*4^(2/3)*(-1)^(1/3)*(x^4 - x^2)^(1/3)*(x^2 - 1) - 4^(1/3)*(-1)^(2/3)*(x^4 + 2*x^2 + 1) - 12*(x^4 - x^2)^(2/3))/(x^4 + 2*x^2 + 1))","B",0
2502,-1,0,0,0.000000," ","integrate((a*x^6+b)/x^3/(a*x^3-b)/(a*x^4+b*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2503,-1,0,0,0.000000," ","integrate((a*x+(a*x-b)^(1/2))^(1/2)/x^2/(a*x-b)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2504,1,313,0,8.700637," ","integrate((3+x)/(x^2-1)^(1/3)/(2*x^2-x+5),x, algorithm=""fricas"")","-\frac{1}{18} \cdot 18^{\frac{1}{6}} \sqrt{6} \arctan\left(\frac{18^{\frac{1}{6}} {\left(6 \cdot 18^{\frac{2}{3}} \sqrt{6} {\left(8 \, x^{4} - 26 \, x^{3} + 33 \, x^{2} - 56 \, x + 5\right)} {\left(x^{2} - 1\right)}^{\frac{2}{3}} + 18^{\frac{1}{3}} \sqrt{6} {\left(8 \, x^{6} + 96 \, x^{5} - 582 \, x^{4} + 155 \, x^{3} + 1029 \, x^{2} - 399 \, x - 91\right)} + 36 \, \sqrt{6} {\left(4 \, x^{5} - 62 \, x^{4} + 133 \, x^{3} - 31 \, x^{2} - 73 \, x + 29\right)} {\left(x^{2} - 1\right)}^{\frac{1}{3}}\right)}}{18 \, {\left(8 \, x^{6} - 336 \, x^{5} + 1038 \, x^{4} - 709 \, x^{3} - 483 \, x^{2} + 897 \, x - 199\right)}}\right) - \frac{1}{108} \cdot 18^{\frac{2}{3}} \log\left(\frac{3 \cdot 18^{\frac{2}{3}} {\left(4 \, x^{2} - 11 \, x + 1\right)} {\left(x^{2} - 1\right)}^{\frac{2}{3}} + 18^{\frac{1}{3}} {\left(4 \, x^{4} - 58 \, x^{3} + 75 \, x^{2} + 44 \, x - 29\right)} - 36 \, {\left(x^{3} - 6 \, x^{2} + 3 \, x + 2\right)} {\left(x^{2} - 1\right)}^{\frac{1}{3}}}{4 \, x^{4} - 4 \, x^{3} + 21 \, x^{2} - 10 \, x + 25}\right) + \frac{1}{54} \cdot 18^{\frac{2}{3}} \log\left(\frac{18^{\frac{2}{3}} {\left(2 \, x^{2} - x + 5\right)} + 18 \cdot 18^{\frac{1}{3}} {\left(x^{2} - 1\right)}^{\frac{1}{3}} {\left(x - 1\right)} + 54 \, {\left(x^{2} - 1\right)}^{\frac{2}{3}}}{2 \, x^{2} - x + 5}\right)"," ",0,"-1/18*18^(1/6)*sqrt(6)*arctan(1/18*18^(1/6)*(6*18^(2/3)*sqrt(6)*(8*x^4 - 26*x^3 + 33*x^2 - 56*x + 5)*(x^2 - 1)^(2/3) + 18^(1/3)*sqrt(6)*(8*x^6 + 96*x^5 - 582*x^4 + 155*x^3 + 1029*x^2 - 399*x - 91) + 36*sqrt(6)*(4*x^5 - 62*x^4 + 133*x^3 - 31*x^2 - 73*x + 29)*(x^2 - 1)^(1/3))/(8*x^6 - 336*x^5 + 1038*x^4 - 709*x^3 - 483*x^2 + 897*x - 199)) - 1/108*18^(2/3)*log((3*18^(2/3)*(4*x^2 - 11*x + 1)*(x^2 - 1)^(2/3) + 18^(1/3)*(4*x^4 - 58*x^3 + 75*x^2 + 44*x - 29) - 36*(x^3 - 6*x^2 + 3*x + 2)*(x^2 - 1)^(1/3))/(4*x^4 - 4*x^3 + 21*x^2 - 10*x + 25)) + 1/54*18^(2/3)*log((18^(2/3)*(2*x^2 - x + 5) + 18*18^(1/3)*(x^2 - 1)^(1/3)*(x - 1) + 54*(x^2 - 1)^(2/3))/(2*x^2 - x + 5))","B",0
2505,-1,0,0,0.000000," ","integrate((-2+(1+k)*x)*(1-(1+k)*x+(a+k)*x^2)/x^2/((1-x)*x*(-k*x+1))^(1/3)/(1-(1+k)*x+(-b+k)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2506,-2,0,0,0.000000," ","integrate((x^3-2)*(x^4+x^3+x)^(1/3)/(x^3+1)/(x^3-x^2+1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
2507,1,4158,0,1.522416," ","integrate((a*x^4+b*x^3)^(1/4)/(a*x+2*x^2-2*b),x, algorithm=""fricas"")","-2 \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} - {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}} \arctan\left(\frac{{\left(\sqrt{2} \sqrt{\frac{1}{2}} {\left({\left(a^{10} + 58 \, a^{8} b + 1232 \, a^{6} b^{2} + 11008 \, a^{4} b^{3} + 28672 \, a^{2} b^{4} - 65536 \, b^{5}\right)} x \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}} + {\left(a^{11} + 40 \, a^{9} b + 516 \, a^{7} b^{2} + 2160 \, a^{5} b^{3} + 512 \, a^{3} b^{4} - 4096 \, a b^{5}\right)} x\right)} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} - {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}} \sqrt{\frac{\sqrt{\frac{1}{2}} {\left({\left(a^{11} + 54 \, a^{9} b + 1048 \, a^{7} b^{2} + 8320 \, a^{5} b^{3} + 18432 \, a^{3} b^{4} - 32768 \, a b^{5}\right)} x^{2} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}} + {\left(a^{12} + 36 \, a^{10} b + 436 \, a^{8} b^{2} + 1920 \, a^{6} b^{3} + 320 \, a^{4} b^{4} - 10752 \, a^{2} b^{5} + 8192 \, b^{6}\right)} x^{2}\right)} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} - {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}} + 32 \, {\left(a^{8} b^{2} + 12 \, a^{6} b^{3} + 20 \, a^{4} b^{4} - 96 \, a^{2} b^{5} + 64 \, b^{6}\right)} \sqrt{a x^{4} + b x^{3}}}{x^{2}}} + 8 \, \sqrt{\frac{1}{2}} {\left(a^{15} b + 46 \, a^{13} b^{2} + 748 \, a^{11} b^{3} + 4936 \, a^{9} b^{4} + 9344 \, a^{7} b^{5} - 18304 \, a^{5} b^{6} - 28672 \, a^{3} b^{7} + 32768 \, a b^{8} + {\left(a^{14} b + 64 \, a^{12} b^{2} + 1572 \, a^{10} b^{3} + 17936 \, a^{8} b^{4} + 84864 \, a^{6} b^{5} + 18432 \, a^{4} b^{6} - 622592 \, a^{2} b^{7} + 524288 \, b^{8}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} - {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} - {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}}}{512 \, {\left(3 \, a^{10} b^{4} + 34 \, a^{8} b^{5} + 36 \, a^{6} b^{6} - 328 \, a^{4} b^{7} + 384 \, a^{2} b^{8} - 128 \, b^{9}\right)} x}\right) + 2 \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} + {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}} \arctan\left(\frac{\sqrt{2} \sqrt{\frac{1}{2}} {\left({\left(a^{10} + 58 \, a^{8} b + 1232 \, a^{6} b^{2} + 11008 \, a^{4} b^{3} + 28672 \, a^{2} b^{4} - 65536 \, b^{5}\right)} x \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}} - {\left(a^{11} + 40 \, a^{9} b + 516 \, a^{7} b^{2} + 2160 \, a^{5} b^{3} + 512 \, a^{3} b^{4} - 4096 \, a b^{5}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} + {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} + {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}} \sqrt{-\frac{\sqrt{\frac{1}{2}} {\left({\left(a^{11} + 54 \, a^{9} b + 1048 \, a^{7} b^{2} + 8320 \, a^{5} b^{3} + 18432 \, a^{3} b^{4} - 32768 \, a b^{5}\right)} x^{2} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}} - {\left(a^{12} + 36 \, a^{10} b + 436 \, a^{8} b^{2} + 1920 \, a^{6} b^{3} + 320 \, a^{4} b^{4} - 10752 \, a^{2} b^{5} + 8192 \, b^{6}\right)} x^{2}\right)} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} + {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}} - 32 \, {\left(a^{8} b^{2} + 12 \, a^{6} b^{3} + 20 \, a^{4} b^{4} - 96 \, a^{2} b^{5} + 64 \, b^{6}\right)} \sqrt{a x^{4} + b x^{3}}}{x^{2}}} - 8 \, \sqrt{\frac{1}{2}} {\left(a^{15} b + 46 \, a^{13} b^{2} + 748 \, a^{11} b^{3} + 4936 \, a^{9} b^{4} + 9344 \, a^{7} b^{5} - 18304 \, a^{5} b^{6} - 28672 \, a^{3} b^{7} + 32768 \, a b^{8} - {\left(a^{14} b + 64 \, a^{12} b^{2} + 1572 \, a^{10} b^{3} + 17936 \, a^{8} b^{4} + 84864 \, a^{6} b^{5} + 18432 \, a^{4} b^{6} - 622592 \, a^{2} b^{7} + 524288 \, b^{8}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} + {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} + {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}}{512 \, {\left(3 \, a^{10} b^{4} + 34 \, a^{8} b^{5} + 36 \, a^{6} b^{6} - 328 \, a^{4} b^{7} + 384 \, a^{2} b^{8} - 128 \, b^{9}\right)} x}\right) + \frac{1}{2} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} + {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}} \log\left(-\frac{{\left({\left(a^{5} + 32 \, a^{3} b + 256 \, a b^{2}\right)} x \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}} - {\left(a^{6} + 22 \, a^{4} b + 88 \, a^{2} b^{2} - 128 \, b^{3}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} + {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}} + 8 \, {\left(a^{4} b + 6 \, a^{2} b^{2} - 8 \, b^{3}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} + {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}} \log\left(\frac{{\left({\left(a^{5} + 32 \, a^{3} b + 256 \, a b^{2}\right)} x \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}} - {\left(a^{6} + 22 \, a^{4} b + 88 \, a^{2} b^{2} - 128 \, b^{3}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} + {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}} - 8 \, {\left(a^{4} b + 6 \, a^{2} b^{2} - 8 \, b^{3}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} - {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}} \log\left(-\frac{{\left({\left(a^{5} + 32 \, a^{3} b + 256 \, a b^{2}\right)} x \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}} + {\left(a^{6} + 22 \, a^{4} b + 88 \, a^{2} b^{2} - 128 \, b^{3}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} - {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}} + 8 \, {\left(a^{4} b + 6 \, a^{2} b^{2} - 8 \, b^{3}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} - {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}} \log\left(\frac{{\left({\left(a^{5} + 32 \, a^{3} b + 256 \, a b^{2}\right)} x \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}} + {\left(a^{6} + 22 \, a^{4} b + 88 \, a^{2} b^{2} - 128 \, b^{3}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} - {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}} - 8 \, {\left(a^{4} b + 6 \, a^{2} b^{2} - 8 \, b^{3}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - 2 \, a^{\frac{1}{4}} \arctan\left(\frac{a^{\frac{3}{4}} x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} + b x^{3}}}{x^{2}}} - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} a^{\frac{3}{4}}}{a x}\right) + \frac{1}{2} \, a^{\frac{1}{4}} \log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, a^{\frac{1}{4}} \log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-2*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 - (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)))*arctan(1/512*(sqrt(2)*sqrt(1/2)*((a^10 + 58*a^8*b + 1232*a^6*b^2 + 11008*a^4*b^3 + 28672*a^2*b^4 - 65536*b^5)*x*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)) + (a^11 + 40*a^9*b + 516*a^7*b^2 + 2160*a^5*b^3 + 512*a^3*b^4 - 4096*a*b^5)*x)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 - (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2))*sqrt((sqrt(1/2)*((a^11 + 54*a^9*b + 1048*a^7*b^2 + 8320*a^5*b^3 + 18432*a^3*b^4 - 32768*a*b^5)*x^2*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)) + (a^12 + 36*a^10*b + 436*a^8*b^2 + 1920*a^6*b^3 + 320*a^4*b^4 - 10752*a^2*b^5 + 8192*b^6)*x^2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 - (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)) + 32*(a^8*b^2 + 12*a^6*b^3 + 20*a^4*b^4 - 96*a^2*b^5 + 64*b^6)*sqrt(a*x^4 + b*x^3))/x^2) + 8*sqrt(1/2)*(a^15*b + 46*a^13*b^2 + 748*a^11*b^3 + 4936*a^9*b^4 + 9344*a^7*b^5 - 18304*a^5*b^6 - 28672*a^3*b^7 + 32768*a*b^8 + (a^14*b + 64*a^12*b^2 + 1572*a^10*b^3 + 17936*a^8*b^4 + 84864*a^6*b^5 + 18432*a^4*b^6 - 622592*a^2*b^7 + 524288*b^8)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))*(a*x^4 + b*x^3)^(1/4)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 - (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)))*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 - (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)))/((3*a^10*b^4 + 34*a^8*b^5 + 36*a^6*b^6 - 328*a^4*b^7 + 384*a^2*b^8 - 128*b^9)*x)) + 2*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 + (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)))*arctan(1/512*(sqrt(2)*sqrt(1/2)*((a^10 + 58*a^8*b + 1232*a^6*b^2 + 11008*a^4*b^3 + 28672*a^2*b^4 - 65536*b^5)*x*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)) - (a^11 + 40*a^9*b + 516*a^7*b^2 + 2160*a^5*b^3 + 512*a^3*b^4 - 4096*a*b^5)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 + (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)))*sqrt((a^5 + 14*a^3*b + 8*a*b^2 + (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2))*sqrt(-(sqrt(1/2)*((a^11 + 54*a^9*b + 1048*a^7*b^2 + 8320*a^5*b^3 + 18432*a^3*b^4 - 32768*a*b^5)*x^2*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)) - (a^12 + 36*a^10*b + 436*a^8*b^2 + 1920*a^6*b^3 + 320*a^4*b^4 - 10752*a^2*b^5 + 8192*b^6)*x^2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 + (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)) - 32*(a^8*b^2 + 12*a^6*b^3 + 20*a^4*b^4 - 96*a^2*b^5 + 64*b^6)*sqrt(a*x^4 + b*x^3))/x^2) - 8*sqrt(1/2)*(a^15*b + 46*a^13*b^2 + 748*a^11*b^3 + 4936*a^9*b^4 + 9344*a^7*b^5 - 18304*a^5*b^6 - 28672*a^3*b^7 + 32768*a*b^8 - (a^14*b + 64*a^12*b^2 + 1572*a^10*b^3 + 17936*a^8*b^4 + 84864*a^6*b^5 + 18432*a^4*b^6 - 622592*a^2*b^7 + 524288*b^8)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))*(a*x^4 + b*x^3)^(1/4)*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 + (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)))*sqrt((a^5 + 14*a^3*b + 8*a*b^2 + (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)))/((3*a^10*b^4 + 34*a^8*b^5 + 36*a^6*b^6 - 328*a^4*b^7 + 384*a^2*b^8 - 128*b^9)*x)) + 1/2*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 + (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)))*log(-(((a^5 + 32*a^3*b + 256*a*b^2)*x*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)) - (a^6 + 22*a^4*b + 88*a^2*b^2 - 128*b^3)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 + (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2))) + 8*(a^4*b + 6*a^2*b^2 - 8*b^3)*(a*x^4 + b*x^3)^(1/4))/x) - 1/2*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 + (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)))*log((((a^5 + 32*a^3*b + 256*a*b^2)*x*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)) - (a^6 + 22*a^4*b + 88*a^2*b^2 - 128*b^3)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 + (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2))) - 8*(a^4*b + 6*a^2*b^2 - 8*b^3)*(a*x^4 + b*x^3)^(1/4))/x) - 1/2*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 - (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)))*log(-(((a^5 + 32*a^3*b + 256*a*b^2)*x*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)) + (a^6 + 22*a^4*b + 88*a^2*b^2 - 128*b^3)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 - (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2))) + 8*(a^4*b + 6*a^2*b^2 - 8*b^3)*(a*x^4 + b*x^3)^(1/4))/x) + 1/2*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 - (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)))*log((((a^5 + 32*a^3*b + 256*a*b^2)*x*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)) + (a^6 + 22*a^4*b + 88*a^2*b^2 - 128*b^3)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 - (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2))) - 8*(a^4*b + 6*a^2*b^2 - 8*b^3)*(a*x^4 + b*x^3)^(1/4))/x) - 2*a^(1/4)*arctan((a^(3/4)*x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 + b*x^3))/x^2) - (a*x^4 + b*x^3)^(1/4)*a^(3/4))/(a*x)) + 1/2*a^(1/4)*log((a^(1/4)*x + (a*x^4 + b*x^3)^(1/4))/x) - 1/2*a^(1/4)*log(-(a^(1/4)*x - (a*x^4 + b*x^3)^(1/4))/x)","B",0
2508,1,4158,0,1.546771," ","integrate((a*x^4+b*x^3)^(1/4)/(a*x+2*x^2-2*b),x, algorithm=""fricas"")","-2 \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} - {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}} \arctan\left(\frac{{\left(\sqrt{2} \sqrt{\frac{1}{2}} {\left({\left(a^{10} + 58 \, a^{8} b + 1232 \, a^{6} b^{2} + 11008 \, a^{4} b^{3} + 28672 \, a^{2} b^{4} - 65536 \, b^{5}\right)} x \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}} + {\left(a^{11} + 40 \, a^{9} b + 516 \, a^{7} b^{2} + 2160 \, a^{5} b^{3} + 512 \, a^{3} b^{4} - 4096 \, a b^{5}\right)} x\right)} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} - {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}} \sqrt{\frac{\sqrt{\frac{1}{2}} {\left({\left(a^{11} + 54 \, a^{9} b + 1048 \, a^{7} b^{2} + 8320 \, a^{5} b^{3} + 18432 \, a^{3} b^{4} - 32768 \, a b^{5}\right)} x^{2} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}} + {\left(a^{12} + 36 \, a^{10} b + 436 \, a^{8} b^{2} + 1920 \, a^{6} b^{3} + 320 \, a^{4} b^{4} - 10752 \, a^{2} b^{5} + 8192 \, b^{6}\right)} x^{2}\right)} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} - {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}} + 32 \, {\left(a^{8} b^{2} + 12 \, a^{6} b^{3} + 20 \, a^{4} b^{4} - 96 \, a^{2} b^{5} + 64 \, b^{6}\right)} \sqrt{a x^{4} + b x^{3}}}{x^{2}}} + 8 \, \sqrt{\frac{1}{2}} {\left(a^{15} b + 46 \, a^{13} b^{2} + 748 \, a^{11} b^{3} + 4936 \, a^{9} b^{4} + 9344 \, a^{7} b^{5} - 18304 \, a^{5} b^{6} - 28672 \, a^{3} b^{7} + 32768 \, a b^{8} + {\left(a^{14} b + 64 \, a^{12} b^{2} + 1572 \, a^{10} b^{3} + 17936 \, a^{8} b^{4} + 84864 \, a^{6} b^{5} + 18432 \, a^{4} b^{6} - 622592 \, a^{2} b^{7} + 524288 \, b^{8}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} - {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} - {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}}}{512 \, {\left(3 \, a^{10} b^{4} + 34 \, a^{8} b^{5} + 36 \, a^{6} b^{6} - 328 \, a^{4} b^{7} + 384 \, a^{2} b^{8} - 128 \, b^{9}\right)} x}\right) + 2 \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} + {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}} \arctan\left(\frac{\sqrt{2} \sqrt{\frac{1}{2}} {\left({\left(a^{10} + 58 \, a^{8} b + 1232 \, a^{6} b^{2} + 11008 \, a^{4} b^{3} + 28672 \, a^{2} b^{4} - 65536 \, b^{5}\right)} x \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}} - {\left(a^{11} + 40 \, a^{9} b + 516 \, a^{7} b^{2} + 2160 \, a^{5} b^{3} + 512 \, a^{3} b^{4} - 4096 \, a b^{5}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} + {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} + {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}} \sqrt{-\frac{\sqrt{\frac{1}{2}} {\left({\left(a^{11} + 54 \, a^{9} b + 1048 \, a^{7} b^{2} + 8320 \, a^{5} b^{3} + 18432 \, a^{3} b^{4} - 32768 \, a b^{5}\right)} x^{2} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}} - {\left(a^{12} + 36 \, a^{10} b + 436 \, a^{8} b^{2} + 1920 \, a^{6} b^{3} + 320 \, a^{4} b^{4} - 10752 \, a^{2} b^{5} + 8192 \, b^{6}\right)} x^{2}\right)} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} + {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}} - 32 \, {\left(a^{8} b^{2} + 12 \, a^{6} b^{3} + 20 \, a^{4} b^{4} - 96 \, a^{2} b^{5} + 64 \, b^{6}\right)} \sqrt{a x^{4} + b x^{3}}}{x^{2}}} - 8 \, \sqrt{\frac{1}{2}} {\left(a^{15} b + 46 \, a^{13} b^{2} + 748 \, a^{11} b^{3} + 4936 \, a^{9} b^{4} + 9344 \, a^{7} b^{5} - 18304 \, a^{5} b^{6} - 28672 \, a^{3} b^{7} + 32768 \, a b^{8} - {\left(a^{14} b + 64 \, a^{12} b^{2} + 1572 \, a^{10} b^{3} + 17936 \, a^{8} b^{4} + 84864 \, a^{6} b^{5} + 18432 \, a^{4} b^{6} - 622592 \, a^{2} b^{7} + 524288 \, b^{8}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} + {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} + {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}}{512 \, {\left(3 \, a^{10} b^{4} + 34 \, a^{8} b^{5} + 36 \, a^{6} b^{6} - 328 \, a^{4} b^{7} + 384 \, a^{2} b^{8} - 128 \, b^{9}\right)} x}\right) + \frac{1}{2} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} + {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}} \log\left(-\frac{{\left({\left(a^{5} + 32 \, a^{3} b + 256 \, a b^{2}\right)} x \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}} - {\left(a^{6} + 22 \, a^{4} b + 88 \, a^{2} b^{2} - 128 \, b^{3}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} + {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}} + 8 \, {\left(a^{4} b + 6 \, a^{2} b^{2} - 8 \, b^{3}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} + {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}} \log\left(\frac{{\left({\left(a^{5} + 32 \, a^{3} b + 256 \, a b^{2}\right)} x \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}} - {\left(a^{6} + 22 \, a^{4} b + 88 \, a^{2} b^{2} - 128 \, b^{3}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} + {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}} - 8 \, {\left(a^{4} b + 6 \, a^{2} b^{2} - 8 \, b^{3}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} - {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}} \log\left(-\frac{{\left({\left(a^{5} + 32 \, a^{3} b + 256 \, a b^{2}\right)} x \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}} + {\left(a^{6} + 22 \, a^{4} b + 88 \, a^{2} b^{2} - 128 \, b^{3}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} - {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}} + 8 \, {\left(a^{4} b + 6 \, a^{2} b^{2} - 8 \, b^{3}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} - {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}} \log\left(\frac{{\left({\left(a^{5} + 32 \, a^{3} b + 256 \, a b^{2}\right)} x \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}} + {\left(a^{6} + 22 \, a^{4} b + 88 \, a^{2} b^{2} - 128 \, b^{3}\right)} x\right)} \sqrt{\sqrt{\frac{1}{2}} \sqrt{\frac{a^{5} + 14 \, a^{3} b + 8 \, a b^{2} - {\left(a^{4} + 32 \, a^{2} b + 256 \, b^{2}\right)} \sqrt{\frac{a^{8} + 12 \, a^{6} b + 20 \, a^{4} b^{2} - 96 \, a^{2} b^{3} + 64 \, b^{4}}{a^{6} + 48 \, a^{4} b + 768 \, a^{2} b^{2} + 4096 \, b^{3}}}}{a^{4} + 32 \, a^{2} b + 256 \, b^{2}}}} - 8 \, {\left(a^{4} b + 6 \, a^{2} b^{2} - 8 \, b^{3}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - 2 \, a^{\frac{1}{4}} \arctan\left(\frac{a^{\frac{3}{4}} x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} + b x^{3}}}{x^{2}}} - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} a^{\frac{3}{4}}}{a x}\right) + \frac{1}{2} \, a^{\frac{1}{4}} \log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, a^{\frac{1}{4}} \log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-2*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 - (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)))*arctan(1/512*(sqrt(2)*sqrt(1/2)*((a^10 + 58*a^8*b + 1232*a^6*b^2 + 11008*a^4*b^3 + 28672*a^2*b^4 - 65536*b^5)*x*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)) + (a^11 + 40*a^9*b + 516*a^7*b^2 + 2160*a^5*b^3 + 512*a^3*b^4 - 4096*a*b^5)*x)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 - (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2))*sqrt((sqrt(1/2)*((a^11 + 54*a^9*b + 1048*a^7*b^2 + 8320*a^5*b^3 + 18432*a^3*b^4 - 32768*a*b^5)*x^2*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)) + (a^12 + 36*a^10*b + 436*a^8*b^2 + 1920*a^6*b^3 + 320*a^4*b^4 - 10752*a^2*b^5 + 8192*b^6)*x^2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 - (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)) + 32*(a^8*b^2 + 12*a^6*b^3 + 20*a^4*b^4 - 96*a^2*b^5 + 64*b^6)*sqrt(a*x^4 + b*x^3))/x^2) + 8*sqrt(1/2)*(a^15*b + 46*a^13*b^2 + 748*a^11*b^3 + 4936*a^9*b^4 + 9344*a^7*b^5 - 18304*a^5*b^6 - 28672*a^3*b^7 + 32768*a*b^8 + (a^14*b + 64*a^12*b^2 + 1572*a^10*b^3 + 17936*a^8*b^4 + 84864*a^6*b^5 + 18432*a^4*b^6 - 622592*a^2*b^7 + 524288*b^8)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))*(a*x^4 + b*x^3)^(1/4)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 - (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)))*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 - (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)))/((3*a^10*b^4 + 34*a^8*b^5 + 36*a^6*b^6 - 328*a^4*b^7 + 384*a^2*b^8 - 128*b^9)*x)) + 2*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 + (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)))*arctan(1/512*(sqrt(2)*sqrt(1/2)*((a^10 + 58*a^8*b + 1232*a^6*b^2 + 11008*a^4*b^3 + 28672*a^2*b^4 - 65536*b^5)*x*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)) - (a^11 + 40*a^9*b + 516*a^7*b^2 + 2160*a^5*b^3 + 512*a^3*b^4 - 4096*a*b^5)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 + (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)))*sqrt((a^5 + 14*a^3*b + 8*a*b^2 + (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2))*sqrt(-(sqrt(1/2)*((a^11 + 54*a^9*b + 1048*a^7*b^2 + 8320*a^5*b^3 + 18432*a^3*b^4 - 32768*a*b^5)*x^2*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)) - (a^12 + 36*a^10*b + 436*a^8*b^2 + 1920*a^6*b^3 + 320*a^4*b^4 - 10752*a^2*b^5 + 8192*b^6)*x^2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 + (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)) - 32*(a^8*b^2 + 12*a^6*b^3 + 20*a^4*b^4 - 96*a^2*b^5 + 64*b^6)*sqrt(a*x^4 + b*x^3))/x^2) - 8*sqrt(1/2)*(a^15*b + 46*a^13*b^2 + 748*a^11*b^3 + 4936*a^9*b^4 + 9344*a^7*b^5 - 18304*a^5*b^6 - 28672*a^3*b^7 + 32768*a*b^8 - (a^14*b + 64*a^12*b^2 + 1572*a^10*b^3 + 17936*a^8*b^4 + 84864*a^6*b^5 + 18432*a^4*b^6 - 622592*a^2*b^7 + 524288*b^8)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))*(a*x^4 + b*x^3)^(1/4)*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 + (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)))*sqrt((a^5 + 14*a^3*b + 8*a*b^2 + (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)))/((3*a^10*b^4 + 34*a^8*b^5 + 36*a^6*b^6 - 328*a^4*b^7 + 384*a^2*b^8 - 128*b^9)*x)) + 1/2*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 + (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)))*log(-(((a^5 + 32*a^3*b + 256*a*b^2)*x*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)) - (a^6 + 22*a^4*b + 88*a^2*b^2 - 128*b^3)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 + (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2))) + 8*(a^4*b + 6*a^2*b^2 - 8*b^3)*(a*x^4 + b*x^3)^(1/4))/x) - 1/2*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 + (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)))*log((((a^5 + 32*a^3*b + 256*a*b^2)*x*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)) - (a^6 + 22*a^4*b + 88*a^2*b^2 - 128*b^3)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 + (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2))) - 8*(a^4*b + 6*a^2*b^2 - 8*b^3)*(a*x^4 + b*x^3)^(1/4))/x) - 1/2*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 - (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)))*log(-(((a^5 + 32*a^3*b + 256*a*b^2)*x*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)) + (a^6 + 22*a^4*b + 88*a^2*b^2 - 128*b^3)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 - (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2))) + 8*(a^4*b + 6*a^2*b^2 - 8*b^3)*(a*x^4 + b*x^3)^(1/4))/x) + 1/2*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 - (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2)))*log((((a^5 + 32*a^3*b + 256*a*b^2)*x*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)) + (a^6 + 22*a^4*b + 88*a^2*b^2 - 128*b^3)*x)*sqrt(sqrt(1/2)*sqrt((a^5 + 14*a^3*b + 8*a*b^2 - (a^4 + 32*a^2*b + 256*b^2)*sqrt((a^8 + 12*a^6*b + 20*a^4*b^2 - 96*a^2*b^3 + 64*b^4)/(a^6 + 48*a^4*b + 768*a^2*b^2 + 4096*b^3)))/(a^4 + 32*a^2*b + 256*b^2))) - 8*(a^4*b + 6*a^2*b^2 - 8*b^3)*(a*x^4 + b*x^3)^(1/4))/x) - 2*a^(1/4)*arctan((a^(3/4)*x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 + b*x^3))/x^2) - (a*x^4 + b*x^3)^(1/4)*a^(3/4))/(a*x)) + 1/2*a^(1/4)*log((a^(1/4)*x + (a*x^4 + b*x^3)^(1/4))/x) - 1/2*a^(1/4)*log(-(a^(1/4)*x - (a*x^4 + b*x^3)^(1/4))/x)","B",0
2509,1,382,0,30.554356," ","integrate((x^3+1)^(2/3)*(2*x^6-1)/x^6/(2*x^3-1),x, algorithm=""fricas"")","\frac{10 \cdot 3^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} x^{5} \log\left(\frac{9 \cdot 3^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} + 3^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(2 \, x^{3} - 1\right)} - 9 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} x}{2 \, x^{3} - 1}\right) - 5 \cdot 3^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} x^{5} \log\left(-\frac{3 \cdot 3^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(7 \, x^{4} + x\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}} - 3^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(31 \, x^{6} + 23 \, x^{3} + 1\right)} - 9 \, {\left(5 \, x^{5} + 2 \, x^{2}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{4 \, x^{6} - 4 \, x^{3} + 1}\right) - 30 \cdot 3^{\frac{1}{6}} \left(-1\right)^{\frac{1}{3}} x^{5} \arctan\left(\frac{3^{\frac{1}{6}} {\left(6 \cdot 3^{\frac{2}{3}} \left(-1\right)^{\frac{2}{3}} {\left(14 \, x^{7} - 5 \, x^{4} - x\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}} + 18 \, \left(-1\right)^{\frac{1}{3}} {\left(31 \, x^{8} + 23 \, x^{5} + x^{2}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}} - 3^{\frac{1}{3}} {\left(127 \, x^{9} + 201 \, x^{6} + 48 \, x^{3} + 1\right)}\right)}}{3 \, {\left(251 \, x^{9} + 231 \, x^{6} + 6 \, x^{3} - 1\right)}}\right) + 30 \, \sqrt{3} x^{5} \arctan\left(-\frac{25382 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 13720 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(5831 \, x^{3} + 7200\right)}}{58653 \, x^{3} + 8000}\right) - 15 \, x^{5} \log\left(3 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + 1\right) - 18 \, {\left(6 \, x^{3} + 1\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{90 \, x^{5}}"," ",0,"1/90*(10*3^(2/3)*(-1)^(1/3)*x^5*log((9*3^(1/3)*(-1)^(2/3)*(x^3 + 1)^(1/3)*x^2 + 3^(2/3)*(-1)^(1/3)*(2*x^3 - 1) - 9*(x^3 + 1)^(2/3)*x)/(2*x^3 - 1)) - 5*3^(2/3)*(-1)^(1/3)*x^5*log(-(3*3^(2/3)*(-1)^(1/3)*(7*x^4 + x)*(x^3 + 1)^(2/3) - 3^(1/3)*(-1)^(2/3)*(31*x^6 + 23*x^3 + 1) - 9*(5*x^5 + 2*x^2)*(x^3 + 1)^(1/3))/(4*x^6 - 4*x^3 + 1)) - 30*3^(1/6)*(-1)^(1/3)*x^5*arctan(1/3*3^(1/6)*(6*3^(2/3)*(-1)^(2/3)*(14*x^7 - 5*x^4 - x)*(x^3 + 1)^(2/3) + 18*(-1)^(1/3)*(31*x^8 + 23*x^5 + x^2)*(x^3 + 1)^(1/3) - 3^(1/3)*(127*x^9 + 201*x^6 + 48*x^3 + 1))/(251*x^9 + 231*x^6 + 6*x^3 - 1)) + 30*sqrt(3)*x^5*arctan(-(25382*sqrt(3)*(x^3 + 1)^(1/3)*x^2 - 13720*sqrt(3)*(x^3 + 1)^(2/3)*x + sqrt(3)*(5831*x^3 + 7200))/(58653*x^3 + 8000)) - 15*x^5*log(3*(x^3 + 1)^(1/3)*x^2 - 3*(x^3 + 1)^(2/3)*x + 1) - 18*(6*x^3 + 1)*(x^3 + 1)^(2/3))/x^5","B",0
2510,-1,0,0,0.000000," ","integrate((a*x^4-b)/(a*x^4+b)/(a^2*x^8+c*x^4+b^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2511,1,5235,0,8.462188," ","integrate((x+(1+x)^(1/2))^(1/2)/(1+x)^(1/2)/(x^2+1),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{\sqrt{\frac{1}{8} i + \frac{1}{8}} + \sqrt{-\frac{1}{8} i + \frac{1}{8}} - 2 \, \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - \frac{1}{2}} \log\left(\frac{2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 7 \, x + 9\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} + 2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(7 \, x + 1\right)} \sqrt{x + 1} + 12 \, x - 14\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} + 16 \, {\left({\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 7 \, x + 9\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} - {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 2 \, {\left(11 \, x - 7\right)} \sqrt{x + 1} - 16 \, x + 22\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - 2 \, {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 2 \, {\left({\left(7 \, x + 1\right)} \sqrt{x + 1} + 6 \, x - 7\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 4 \, \sqrt{x + 1} {\left(x - 7\right)} - 12 \, x + 44\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(3 \, x^{2} - {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} + {\left(3 \, x^{2} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 68 \, x^{2} - {\left({\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 2 \, x^{2} - 4 \, {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 4 \, {\left(7 \, x + 6\right)} \sqrt{x + 1} + 24 \, x + 30\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} + 2 \, {\left(x^{2} - 2 \, {\left(7 \, x + 6\right)} \sqrt{x + 1} - 12 \, x - 15\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 8 \, {\left(14 \, x^{2} - {\left(3 \, x^{2} - {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} - {\left(3 \, x^{2} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 4 \, {\left(11 \, x + 8\right)} \sqrt{x + 1} + 72 \, x + 30\right)} \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - 8 \, {\left(11 \, x + 3\right)} \sqrt{x + 1} - 64 \, x - 20\right)} \sqrt{\sqrt{\frac{1}{8} i + \frac{1}{8}} + \sqrt{-\frac{1}{8} i + \frac{1}{8}} - 2 \, \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - \frac{1}{2}}}{4 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{8} i + \frac{1}{8}} + \sqrt{-\frac{1}{8} i + \frac{1}{8}} - 2 \, \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - \frac{1}{2}} \log\left(\frac{2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 7 \, x + 9\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} + 2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(7 \, x + 1\right)} \sqrt{x + 1} + 12 \, x - 14\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} + 16 \, {\left({\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 7 \, x + 9\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} - {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 2 \, {\left(11 \, x - 7\right)} \sqrt{x + 1} - 16 \, x + 22\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - 2 \, {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 2 \, {\left({\left(7 \, x + 1\right)} \sqrt{x + 1} + 6 \, x - 7\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 4 \, \sqrt{x + 1} {\left(x - 7\right)} - 12 \, x + 44\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(3 \, x^{2} - {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} + {\left(3 \, x^{2} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 68 \, x^{2} - {\left({\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 2 \, x^{2} - 4 \, {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 4 \, {\left(7 \, x + 6\right)} \sqrt{x + 1} + 24 \, x + 30\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} + 2 \, {\left(x^{2} - 2 \, {\left(7 \, x + 6\right)} \sqrt{x + 1} - 12 \, x - 15\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 8 \, {\left(14 \, x^{2} - {\left(3 \, x^{2} - {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} - {\left(3 \, x^{2} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 4 \, {\left(11 \, x + 8\right)} \sqrt{x + 1} + 72 \, x + 30\right)} \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - 8 \, {\left(11 \, x + 3\right)} \sqrt{x + 1} - 64 \, x - 20\right)} \sqrt{\sqrt{\frac{1}{8} i + \frac{1}{8}} + \sqrt{-\frac{1}{8} i + \frac{1}{8}} - 2 \, \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - \frac{1}{2}}}{4 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{8} i + \frac{1}{8}} + \sqrt{-\frac{1}{8} i + \frac{1}{8}} + 2 \, \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - \frac{1}{2}} \log\left(\frac{2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 7 \, x + 9\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} + 2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(7 \, x + 1\right)} \sqrt{x + 1} + 12 \, x - 14\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} - 16 \, {\left({\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 7 \, x + 9\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} - {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 2 \, {\left(11 \, x - 7\right)} \sqrt{x + 1} - 16 \, x + 22\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - 2 \, {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 2 \, {\left({\left(7 \, x + 1\right)} \sqrt{x + 1} + 6 \, x - 7\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 4 \, \sqrt{x + 1} {\left(x - 7\right)} - 12 \, x + 44\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(3 \, x^{2} - {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} + {\left(3 \, x^{2} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 68 \, x^{2} - {\left({\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 2 \, x^{2} - 4 \, {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 4 \, {\left(7 \, x + 6\right)} \sqrt{x + 1} + 24 \, x + 30\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} + 2 \, {\left(x^{2} - 2 \, {\left(7 \, x + 6\right)} \sqrt{x + 1} - 12 \, x - 15\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 8 \, {\left(14 \, x^{2} - {\left(3 \, x^{2} - {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} - {\left(3 \, x^{2} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 4 \, {\left(11 \, x + 8\right)} \sqrt{x + 1} + 72 \, x + 30\right)} \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - 8 \, {\left(11 \, x + 3\right)} \sqrt{x + 1} - 64 \, x - 20\right)} \sqrt{\sqrt{\frac{1}{8} i + \frac{1}{8}} + \sqrt{-\frac{1}{8} i + \frac{1}{8}} + 2 \, \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - \frac{1}{2}}}{4 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{8} i + \frac{1}{8}} + \sqrt{-\frac{1}{8} i + \frac{1}{8}} + 2 \, \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - \frac{1}{2}} \log\left(\frac{2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 7 \, x + 9\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} + 2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(7 \, x + 1\right)} \sqrt{x + 1} + 12 \, x - 14\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} - 16 \, {\left({\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 7 \, x + 9\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} - {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 2 \, {\left(11 \, x - 7\right)} \sqrt{x + 1} - 16 \, x + 22\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - 2 \, {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 2 \, {\left({\left(7 \, x + 1\right)} \sqrt{x + 1} + 6 \, x - 7\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 4 \, \sqrt{x + 1} {\left(x - 7\right)} - 12 \, x + 44\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(3 \, x^{2} - {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} + {\left(3 \, x^{2} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 68 \, x^{2} - {\left({\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 2 \, x^{2} - 4 \, {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 4 \, {\left(7 \, x + 6\right)} \sqrt{x + 1} + 24 \, x + 30\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} + 2 \, {\left(x^{2} - 2 \, {\left(7 \, x + 6\right)} \sqrt{x + 1} - 12 \, x - 15\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 8 \, {\left(14 \, x^{2} - {\left(3 \, x^{2} - {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} - {\left(3 \, x^{2} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 4 \, {\left(11 \, x + 8\right)} \sqrt{x + 1} + 72 \, x + 30\right)} \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - 8 \, {\left(11 \, x + 3\right)} \sqrt{x + 1} - 64 \, x - 20\right)} \sqrt{\sqrt{\frac{1}{8} i + \frac{1}{8}} + \sqrt{-\frac{1}{8} i + \frac{1}{8}} + 2 \, \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - \frac{1}{2}}}{4 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i - \frac{1}{8}} \log\left(-\frac{{\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 7 \, x + 9\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} + {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(7 \, x + 1\right)} \sqrt{x + 1} + 12 \, x - 14\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} + {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{3} - 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} + 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 2 \, x + 14\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{3} - {\left(3 \, x^{2} - {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - 4 \, {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 18 \, x^{2} + {\left({\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 2 \, x^{2} - 4 \, {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 4 \, {\left(7 \, x + 6\right)} \sqrt{x + 1} + 24 \, x + 30\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} + 4 \, {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 4 \, {\left(7 \, x + 1\right)} \sqrt{x + 1} + 16 \, x - 10\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i - \frac{1}{8}}}{x^{2} + 1}\right) - \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i - \frac{1}{8}} \log\left(-\frac{{\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 7 \, x + 9\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} + {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(7 \, x + 1\right)} \sqrt{x + 1} + 12 \, x - 14\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} + {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{3} - 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} + 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 2 \, x + 14\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{3} - {\left(3 \, x^{2} - {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - 4 \, {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 18 \, x^{2} + {\left({\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 2 \, x^{2} - 4 \, {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 4 \, {\left(7 \, x + 6\right)} \sqrt{x + 1} + 24 \, x + 30\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} + 4 \, {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 4 \, {\left(7 \, x + 1\right)} \sqrt{x + 1} + 16 \, x - 10\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i - \frac{1}{8}}}{x^{2} + 1}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} - \frac{1}{8} i - \frac{1}{8}} \log\left(\frac{{\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{3} - {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 9 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 2 \, {\left({\left(x + 3\right)} \sqrt{x + 1} - 2 \, x - 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 10 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 30 \, x + 10\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{3} - {\left(x^{2} + 6 \, {\left(x + 3\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} + 10 \, x^{2} + 2 \, {\left(3 \, x^{2} - 2 \, \sqrt{x + 1} {\left(x - 2\right)} + 4 \, x - 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 20 \, {\left(x + 3\right)} \sqrt{x + 1} - 80 \, x - 30\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} - \frac{1}{8} i - \frac{1}{8}}}{x^{2} + 1}\right) - \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} - \frac{1}{8} i - \frac{1}{8}} \log\left(\frac{{\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{3} - {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 9 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 2 \, {\left({\left(x + 3\right)} \sqrt{x + 1} - 2 \, x - 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 10 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 30 \, x + 10\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{3} - {\left(x^{2} + 6 \, {\left(x + 3\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} + 10 \, x^{2} + 2 \, {\left(3 \, x^{2} - 2 \, \sqrt{x + 1} {\left(x - 2\right)} + 4 \, x - 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 20 \, {\left(x + 3\right)} \sqrt{x + 1} - 80 \, x - 30\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} - \frac{1}{8} i - \frac{1}{8}}}{x^{2} + 1}\right)"," ",0,"-1/4*sqrt(sqrt(1/8*I + 1/8) + sqrt(-1/8*I + 1/8) - 2*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 1/2)*log(1/4*(2*(((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 3*(3*x - 1)*sqrt(x + 1) - 7*x + 9)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1)^2 + 2*(((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 4*((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(7*x + 1)*sqrt(x + 1) + 12*x - 14)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1) + 16*((((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 3*(3*x - 1)*sqrt(x + 1) - 7*x + 9)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1) - ((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 2*(11*x - 7)*sqrt(x + 1) - 16*x + 22)*sqrt(x + sqrt(x + 1)))*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 2*((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 2*((7*x + 1)*sqrt(x + 1) + 6*x - 7)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 4*sqrt(x + 1)*(x - 7) - 12*x + 44)*sqrt(x + sqrt(x + 1)) + ((3*x^2 - (x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(1/8*I + 1/8) - I + 1)^2 + (3*x^2 + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 68*x^2 - ((x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 2*x^2 - 4*(x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 4*(7*x + 6)*sqrt(x + 1) + 24*x + 30)*(4*sqrt(1/8*I + 1/8) - I + 1) + 2*(x^2 - 2*(7*x + 6)*sqrt(x + 1) - 12*x - 15)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 8*(14*x^2 - (3*x^2 - (x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(1/8*I + 1/8) - I + 1) - (3*x^2 + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 4*(11*x + 8)*sqrt(x + 1) + 72*x + 30)*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 8*(11*x + 3)*sqrt(x + 1) - 64*x - 20)*sqrt(sqrt(1/8*I + 1/8) + sqrt(-1/8*I + 1/8) - 2*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 1/2))/(x^2 + 1)) + 1/4*sqrt(sqrt(1/8*I + 1/8) + sqrt(-1/8*I + 1/8) - 2*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 1/2)*log(1/4*(2*(((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 3*(3*x - 1)*sqrt(x + 1) - 7*x + 9)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1)^2 + 2*(((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 4*((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(7*x + 1)*sqrt(x + 1) + 12*x - 14)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1) + 16*((((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 3*(3*x - 1)*sqrt(x + 1) - 7*x + 9)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1) - ((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 2*(11*x - 7)*sqrt(x + 1) - 16*x + 22)*sqrt(x + sqrt(x + 1)))*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 2*((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 2*((7*x + 1)*sqrt(x + 1) + 6*x - 7)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 4*sqrt(x + 1)*(x - 7) - 12*x + 44)*sqrt(x + sqrt(x + 1)) - ((3*x^2 - (x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(1/8*I + 1/8) - I + 1)^2 + (3*x^2 + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 68*x^2 - ((x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 2*x^2 - 4*(x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 4*(7*x + 6)*sqrt(x + 1) + 24*x + 30)*(4*sqrt(1/8*I + 1/8) - I + 1) + 2*(x^2 - 2*(7*x + 6)*sqrt(x + 1) - 12*x - 15)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 8*(14*x^2 - (3*x^2 - (x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(1/8*I + 1/8) - I + 1) - (3*x^2 + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 4*(11*x + 8)*sqrt(x + 1) + 72*x + 30)*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 8*(11*x + 3)*sqrt(x + 1) - 64*x - 20)*sqrt(sqrt(1/8*I + 1/8) + sqrt(-1/8*I + 1/8) - 2*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 1/2))/(x^2 + 1)) - 1/4*sqrt(sqrt(1/8*I + 1/8) + sqrt(-1/8*I + 1/8) + 2*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 1/2)*log(1/4*(2*(((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 3*(3*x - 1)*sqrt(x + 1) - 7*x + 9)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1)^2 + 2*(((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 4*((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(7*x + 1)*sqrt(x + 1) + 12*x - 14)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1) - 16*((((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 3*(3*x - 1)*sqrt(x + 1) - 7*x + 9)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1) - ((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 2*(11*x - 7)*sqrt(x + 1) - 16*x + 22)*sqrt(x + sqrt(x + 1)))*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 2*((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 2*((7*x + 1)*sqrt(x + 1) + 6*x - 7)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 4*sqrt(x + 1)*(x - 7) - 12*x + 44)*sqrt(x + sqrt(x + 1)) + ((3*x^2 - (x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(1/8*I + 1/8) - I + 1)^2 + (3*x^2 + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 68*x^2 - ((x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 2*x^2 - 4*(x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 4*(7*x + 6)*sqrt(x + 1) + 24*x + 30)*(4*sqrt(1/8*I + 1/8) - I + 1) + 2*(x^2 - 2*(7*x + 6)*sqrt(x + 1) - 12*x - 15)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 8*(14*x^2 - (3*x^2 - (x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(1/8*I + 1/8) - I + 1) - (3*x^2 + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 4*(11*x + 8)*sqrt(x + 1) + 72*x + 30)*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 8*(11*x + 3)*sqrt(x + 1) - 64*x - 20)*sqrt(sqrt(1/8*I + 1/8) + sqrt(-1/8*I + 1/8) + 2*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 1/2))/(x^2 + 1)) + 1/4*sqrt(sqrt(1/8*I + 1/8) + sqrt(-1/8*I + 1/8) + 2*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 1/2)*log(1/4*(2*(((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 3*(3*x - 1)*sqrt(x + 1) - 7*x + 9)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1)^2 + 2*(((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 4*((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(7*x + 1)*sqrt(x + 1) + 12*x - 14)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1) - 16*((((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 3*(3*x - 1)*sqrt(x + 1) - 7*x + 9)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1) - ((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 2*(11*x - 7)*sqrt(x + 1) - 16*x + 22)*sqrt(x + sqrt(x + 1)))*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 2*((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 2*((7*x + 1)*sqrt(x + 1) + 6*x - 7)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 4*sqrt(x + 1)*(x - 7) - 12*x + 44)*sqrt(x + sqrt(x + 1)) - ((3*x^2 - (x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(1/8*I + 1/8) - I + 1)^2 + (3*x^2 + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 68*x^2 - ((x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 2*x^2 - 4*(x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 4*(7*x + 6)*sqrt(x + 1) + 24*x + 30)*(4*sqrt(1/8*I + 1/8) - I + 1) + 2*(x^2 - 2*(7*x + 6)*sqrt(x + 1) - 12*x - 15)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 8*(14*x^2 - (3*x^2 - (x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(1/8*I + 1/8) - I + 1) - (3*x^2 + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 4*(11*x + 8)*sqrt(x + 1) + 72*x + 30)*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 8*(11*x + 3)*sqrt(x + 1) - 64*x - 20)*sqrt(sqrt(1/8*I + 1/8) + sqrt(-1/8*I + 1/8) + 2*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 1/2))/(x^2 + 1)) + 1/2*sqrt(-1/2*sqrt(1/8*I + 1/8) + 1/8*I - 1/8)*log(-((((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 3*(3*x - 1)*sqrt(x + 1) - 7*x + 9)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1)^2 + (((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 4*((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(7*x + 1)*sqrt(x + 1) + 12*x - 14)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1) + (((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^3 - 4*((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 + 4*((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(3*x - 1)*sqrt(x + 1) - 2*x + 14)*sqrt(x + sqrt(x + 1)) + ((x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^3 - (3*x^2 - (x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 4*(x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 18*x^2 + ((x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 2*x^2 - 4*(x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 4*(7*x + 6)*sqrt(x + 1) + 24*x + 30)*(4*sqrt(1/8*I + 1/8) - I + 1) + 4*(x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 4*(7*x + 1)*sqrt(x + 1) + 16*x - 10)*sqrt(-1/2*sqrt(1/8*I + 1/8) + 1/8*I - 1/8))/(x^2 + 1)) - 1/2*sqrt(-1/2*sqrt(1/8*I + 1/8) + 1/8*I - 1/8)*log(-((((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 3*(3*x - 1)*sqrt(x + 1) - 7*x + 9)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1)^2 + (((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 4*((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(7*x + 1)*sqrt(x + 1) + 12*x - 14)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1) + (((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^3 - 4*((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 + 4*((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(3*x - 1)*sqrt(x + 1) - 2*x + 14)*sqrt(x + sqrt(x + 1)) - ((x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^3 - (3*x^2 - (x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 4*(x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 18*x^2 + ((x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 2*x^2 - 4*(x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 4*(7*x + 6)*sqrt(x + 1) + 24*x + 30)*(4*sqrt(1/8*I + 1/8) - I + 1) + 4*(x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 4*(7*x + 1)*sqrt(x + 1) + 16*x - 10)*sqrt(-1/2*sqrt(1/8*I + 1/8) + 1/8*I - 1/8))/(x^2 + 1)) + 1/2*sqrt(-1/2*sqrt(-1/8*I + 1/8) - 1/8*I - 1/8)*log(((((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^3 - ((3*x - 1)*sqrt(x + 1) + 9*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 2*((x + 3)*sqrt(x + 1) - 2*x - 1)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 10*(3*x - 1)*sqrt(x + 1) - 30*x + 10)*sqrt(x + sqrt(x + 1)) + ((x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^3 - (x^2 + 6*(x + 3)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 + 10*x^2 + 2*(3*x^2 - 2*sqrt(x + 1)*(x - 2) + 4*x - 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 20*(x + 3)*sqrt(x + 1) - 80*x - 30)*sqrt(-1/2*sqrt(-1/8*I + 1/8) - 1/8*I - 1/8))/(x^2 + 1)) - 1/2*sqrt(-1/2*sqrt(-1/8*I + 1/8) - 1/8*I - 1/8)*log(((((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^3 - ((3*x - 1)*sqrt(x + 1) + 9*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 2*((x + 3)*sqrt(x + 1) - 2*x - 1)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 10*(3*x - 1)*sqrt(x + 1) - 30*x + 10)*sqrt(x + sqrt(x + 1)) - ((x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^3 - (x^2 + 6*(x + 3)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 + 10*x^2 + 2*(3*x^2 - 2*sqrt(x + 1)*(x - 2) + 4*x - 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 20*(x + 3)*sqrt(x + 1) - 80*x - 30)*sqrt(-1/2*sqrt(-1/8*I + 1/8) - 1/8*I - 1/8))/(x^2 + 1))","B",0
2512,1,5235,0,8.376279," ","integrate((x+(1+x)^(1/2))^(1/2)/(1+x)^(1/2)/(x^2+1),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{\sqrt{\frac{1}{8} i + \frac{1}{8}} + \sqrt{-\frac{1}{8} i + \frac{1}{8}} - 2 \, \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - \frac{1}{2}} \log\left(\frac{2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 7 \, x + 9\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} + 2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(7 \, x + 1\right)} \sqrt{x + 1} + 12 \, x - 14\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} + 16 \, {\left({\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 7 \, x + 9\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} - {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 2 \, {\left(11 \, x - 7\right)} \sqrt{x + 1} - 16 \, x + 22\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - 2 \, {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 2 \, {\left({\left(7 \, x + 1\right)} \sqrt{x + 1} + 6 \, x - 7\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 4 \, \sqrt{x + 1} {\left(x - 7\right)} - 12 \, x + 44\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(3 \, x^{2} - {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} + {\left(3 \, x^{2} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 68 \, x^{2} - {\left({\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 2 \, x^{2} - 4 \, {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 4 \, {\left(7 \, x + 6\right)} \sqrt{x + 1} + 24 \, x + 30\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} + 2 \, {\left(x^{2} - 2 \, {\left(7 \, x + 6\right)} \sqrt{x + 1} - 12 \, x - 15\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 8 \, {\left(14 \, x^{2} - {\left(3 \, x^{2} - {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} - {\left(3 \, x^{2} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 4 \, {\left(11 \, x + 8\right)} \sqrt{x + 1} + 72 \, x + 30\right)} \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - 8 \, {\left(11 \, x + 3\right)} \sqrt{x + 1} - 64 \, x - 20\right)} \sqrt{\sqrt{\frac{1}{8} i + \frac{1}{8}} + \sqrt{-\frac{1}{8} i + \frac{1}{8}} - 2 \, \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - \frac{1}{2}}}{4 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{8} i + \frac{1}{8}} + \sqrt{-\frac{1}{8} i + \frac{1}{8}} - 2 \, \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - \frac{1}{2}} \log\left(\frac{2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 7 \, x + 9\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} + 2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(7 \, x + 1\right)} \sqrt{x + 1} + 12 \, x - 14\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} + 16 \, {\left({\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 7 \, x + 9\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} - {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 2 \, {\left(11 \, x - 7\right)} \sqrt{x + 1} - 16 \, x + 22\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - 2 \, {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 2 \, {\left({\left(7 \, x + 1\right)} \sqrt{x + 1} + 6 \, x - 7\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 4 \, \sqrt{x + 1} {\left(x - 7\right)} - 12 \, x + 44\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(3 \, x^{2} - {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} + {\left(3 \, x^{2} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 68 \, x^{2} - {\left({\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 2 \, x^{2} - 4 \, {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 4 \, {\left(7 \, x + 6\right)} \sqrt{x + 1} + 24 \, x + 30\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} + 2 \, {\left(x^{2} - 2 \, {\left(7 \, x + 6\right)} \sqrt{x + 1} - 12 \, x - 15\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 8 \, {\left(14 \, x^{2} - {\left(3 \, x^{2} - {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} - {\left(3 \, x^{2} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 4 \, {\left(11 \, x + 8\right)} \sqrt{x + 1} + 72 \, x + 30\right)} \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - 8 \, {\left(11 \, x + 3\right)} \sqrt{x + 1} - 64 \, x - 20\right)} \sqrt{\sqrt{\frac{1}{8} i + \frac{1}{8}} + \sqrt{-\frac{1}{8} i + \frac{1}{8}} - 2 \, \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - \frac{1}{2}}}{4 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{8} i + \frac{1}{8}} + \sqrt{-\frac{1}{8} i + \frac{1}{8}} + 2 \, \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - \frac{1}{2}} \log\left(\frac{2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 7 \, x + 9\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} + 2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(7 \, x + 1\right)} \sqrt{x + 1} + 12 \, x - 14\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} - 16 \, {\left({\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 7 \, x + 9\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} - {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 2 \, {\left(11 \, x - 7\right)} \sqrt{x + 1} - 16 \, x + 22\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - 2 \, {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 2 \, {\left({\left(7 \, x + 1\right)} \sqrt{x + 1} + 6 \, x - 7\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 4 \, \sqrt{x + 1} {\left(x - 7\right)} - 12 \, x + 44\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(3 \, x^{2} - {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} + {\left(3 \, x^{2} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 68 \, x^{2} - {\left({\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 2 \, x^{2} - 4 \, {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 4 \, {\left(7 \, x + 6\right)} \sqrt{x + 1} + 24 \, x + 30\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} + 2 \, {\left(x^{2} - 2 \, {\left(7 \, x + 6\right)} \sqrt{x + 1} - 12 \, x - 15\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 8 \, {\left(14 \, x^{2} - {\left(3 \, x^{2} - {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} - {\left(3 \, x^{2} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 4 \, {\left(11 \, x + 8\right)} \sqrt{x + 1} + 72 \, x + 30\right)} \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - 8 \, {\left(11 \, x + 3\right)} \sqrt{x + 1} - 64 \, x - 20\right)} \sqrt{\sqrt{\frac{1}{8} i + \frac{1}{8}} + \sqrt{-\frac{1}{8} i + \frac{1}{8}} + 2 \, \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - \frac{1}{2}}}{4 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{4} \, \sqrt{\sqrt{\frac{1}{8} i + \frac{1}{8}} + \sqrt{-\frac{1}{8} i + \frac{1}{8}} + 2 \, \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - \frac{1}{2}} \log\left(\frac{2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 7 \, x + 9\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} + 2 \, {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(7 \, x + 1\right)} \sqrt{x + 1} + 12 \, x - 14\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} - 16 \, {\left({\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 7 \, x + 9\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} - {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 2 \, {\left(11 \, x - 7\right)} \sqrt{x + 1} - 16 \, x + 22\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - 2 \, {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 2 \, {\left({\left(7 \, x + 1\right)} \sqrt{x + 1} + 6 \, x - 7\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 4 \, \sqrt{x + 1} {\left(x - 7\right)} - 12 \, x + 44\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(3 \, x^{2} - {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} + {\left(3 \, x^{2} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 68 \, x^{2} - {\left({\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 2 \, x^{2} - 4 \, {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 4 \, {\left(7 \, x + 6\right)} \sqrt{x + 1} + 24 \, x + 30\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} + 2 \, {\left(x^{2} - 2 \, {\left(7 \, x + 6\right)} \sqrt{x + 1} - 12 \, x - 15\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 8 \, {\left(14 \, x^{2} - {\left(3 \, x^{2} - {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} - {\left(3 \, x^{2} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 4 \, {\left(11 \, x + 8\right)} \sqrt{x + 1} + 72 \, x + 30\right)} \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - 8 \, {\left(11 \, x + 3\right)} \sqrt{x + 1} - 64 \, x - 20\right)} \sqrt{\sqrt{\frac{1}{8} i + \frac{1}{8}} + \sqrt{-\frac{1}{8} i + \frac{1}{8}} + 2 \, \sqrt{-\frac{3}{64} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - \frac{3}{64} \, {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - \frac{1}{32} \, {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i - 3\right)} + \frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i + \frac{1}{8}} - \frac{1}{2}}}{4 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i - \frac{1}{8}} \log\left(-\frac{{\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 7 \, x + 9\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} + {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(7 \, x + 1\right)} \sqrt{x + 1} + 12 \, x - 14\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} + {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{3} - 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} + 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 2 \, x + 14\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{3} - {\left(3 \, x^{2} - {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - 4 \, {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 18 \, x^{2} + {\left({\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 2 \, x^{2} - 4 \, {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 4 \, {\left(7 \, x + 6\right)} \sqrt{x + 1} + 24 \, x + 30\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} + 4 \, {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 4 \, {\left(7 \, x + 1\right)} \sqrt{x + 1} + 16 \, x - 10\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i - \frac{1}{8}}}{x^{2} + 1}\right) - \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i - \frac{1}{8}} \log\left(-\frac{{\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 7 \, x + 9\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} + {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(7 \, x + 1\right)} \sqrt{x + 1} + 12 \, x - 14\right)} \sqrt{x + \sqrt{x + 1}} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} + {\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{3} - 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} + 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 2 \, x + 14\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{3} - {\left(3 \, x^{2} - {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 2 \, {\left(9 \, x + 7\right)} \sqrt{x + 1} + 24 \, x + 15\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)}^{2} - 4 \, {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 18 \, x^{2} + {\left({\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 2 \, x^{2} - 4 \, {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} + 4 \, {\left(7 \, x + 6\right)} \sqrt{x + 1} + 24 \, x + 30\right)} {\left(4 \, \sqrt{\frac{1}{8} i + \frac{1}{8}} - i + 1\right)} + 4 \, {\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 4 \, {\left(7 \, x + 1\right)} \sqrt{x + 1} + 16 \, x - 10\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{1}{8} i + \frac{1}{8}} + \frac{1}{8} i - \frac{1}{8}}}{x^{2} + 1}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} - \frac{1}{8} i - \frac{1}{8}} \log\left(\frac{{\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{3} - {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 9 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 2 \, {\left({\left(x + 3\right)} \sqrt{x + 1} - 2 \, x - 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 10 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 30 \, x + 10\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{3} - {\left(x^{2} + 6 \, {\left(x + 3\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} + 10 \, x^{2} + 2 \, {\left(3 \, x^{2} - 2 \, \sqrt{x + 1} {\left(x - 2\right)} + 4 \, x - 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 20 \, {\left(x + 3\right)} \sqrt{x + 1} - 80 \, x - 30\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} - \frac{1}{8} i - \frac{1}{8}}}{x^{2} + 1}\right) - \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} - \frac{1}{8} i - \frac{1}{8}} \log\left(\frac{{\left({\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{3} - {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} + 9 \, x - 3\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} - 2 \, {\left({\left(x + 3\right)} \sqrt{x + 1} - 2 \, x - 1\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 10 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 30 \, x + 10\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(x^{2} + 2 \, {\left(3 \, x + 4\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{3} - {\left(x^{2} + 6 \, {\left(x + 3\right)} \sqrt{x + 1} + 8 \, x + 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)}^{2} + 10 \, x^{2} + 2 \, {\left(3 \, x^{2} - 2 \, \sqrt{x + 1} {\left(x - 2\right)} + 4 \, x - 5\right)} {\left(4 \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} + i + 1\right)} - 20 \, {\left(x + 3\right)} \sqrt{x + 1} - 80 \, x - 30\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{1}{8} i + \frac{1}{8}} - \frac{1}{8} i - \frac{1}{8}}}{x^{2} + 1}\right)"," ",0,"-1/4*sqrt(sqrt(1/8*I + 1/8) + sqrt(-1/8*I + 1/8) - 2*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 1/2)*log(1/4*(2*(((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 3*(3*x - 1)*sqrt(x + 1) - 7*x + 9)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1)^2 + 2*(((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 4*((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(7*x + 1)*sqrt(x + 1) + 12*x - 14)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1) + 16*((((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 3*(3*x - 1)*sqrt(x + 1) - 7*x + 9)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1) - ((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 2*(11*x - 7)*sqrt(x + 1) - 16*x + 22)*sqrt(x + sqrt(x + 1)))*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 2*((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 2*((7*x + 1)*sqrt(x + 1) + 6*x - 7)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 4*sqrt(x + 1)*(x - 7) - 12*x + 44)*sqrt(x + sqrt(x + 1)) + ((3*x^2 - (x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(1/8*I + 1/8) - I + 1)^2 + (3*x^2 + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 68*x^2 - ((x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 2*x^2 - 4*(x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 4*(7*x + 6)*sqrt(x + 1) + 24*x + 30)*(4*sqrt(1/8*I + 1/8) - I + 1) + 2*(x^2 - 2*(7*x + 6)*sqrt(x + 1) - 12*x - 15)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 8*(14*x^2 - (3*x^2 - (x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(1/8*I + 1/8) - I + 1) - (3*x^2 + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 4*(11*x + 8)*sqrt(x + 1) + 72*x + 30)*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 8*(11*x + 3)*sqrt(x + 1) - 64*x - 20)*sqrt(sqrt(1/8*I + 1/8) + sqrt(-1/8*I + 1/8) - 2*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 1/2))/(x^2 + 1)) + 1/4*sqrt(sqrt(1/8*I + 1/8) + sqrt(-1/8*I + 1/8) - 2*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 1/2)*log(1/4*(2*(((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 3*(3*x - 1)*sqrt(x + 1) - 7*x + 9)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1)^2 + 2*(((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 4*((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(7*x + 1)*sqrt(x + 1) + 12*x - 14)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1) + 16*((((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 3*(3*x - 1)*sqrt(x + 1) - 7*x + 9)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1) - ((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 2*(11*x - 7)*sqrt(x + 1) - 16*x + 22)*sqrt(x + sqrt(x + 1)))*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 2*((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 2*((7*x + 1)*sqrt(x + 1) + 6*x - 7)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 4*sqrt(x + 1)*(x - 7) - 12*x + 44)*sqrt(x + sqrt(x + 1)) - ((3*x^2 - (x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(1/8*I + 1/8) - I + 1)^2 + (3*x^2 + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 68*x^2 - ((x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 2*x^2 - 4*(x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 4*(7*x + 6)*sqrt(x + 1) + 24*x + 30)*(4*sqrt(1/8*I + 1/8) - I + 1) + 2*(x^2 - 2*(7*x + 6)*sqrt(x + 1) - 12*x - 15)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 8*(14*x^2 - (3*x^2 - (x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(1/8*I + 1/8) - I + 1) - (3*x^2 + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 4*(11*x + 8)*sqrt(x + 1) + 72*x + 30)*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 8*(11*x + 3)*sqrt(x + 1) - 64*x - 20)*sqrt(sqrt(1/8*I + 1/8) + sqrt(-1/8*I + 1/8) - 2*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 1/2))/(x^2 + 1)) - 1/4*sqrt(sqrt(1/8*I + 1/8) + sqrt(-1/8*I + 1/8) + 2*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 1/2)*log(1/4*(2*(((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 3*(3*x - 1)*sqrt(x + 1) - 7*x + 9)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1)^2 + 2*(((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 4*((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(7*x + 1)*sqrt(x + 1) + 12*x - 14)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1) - 16*((((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 3*(3*x - 1)*sqrt(x + 1) - 7*x + 9)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1) - ((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 2*(11*x - 7)*sqrt(x + 1) - 16*x + 22)*sqrt(x + sqrt(x + 1)))*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 2*((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 2*((7*x + 1)*sqrt(x + 1) + 6*x - 7)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 4*sqrt(x + 1)*(x - 7) - 12*x + 44)*sqrt(x + sqrt(x + 1)) + ((3*x^2 - (x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(1/8*I + 1/8) - I + 1)^2 + (3*x^2 + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 68*x^2 - ((x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 2*x^2 - 4*(x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 4*(7*x + 6)*sqrt(x + 1) + 24*x + 30)*(4*sqrt(1/8*I + 1/8) - I + 1) + 2*(x^2 - 2*(7*x + 6)*sqrt(x + 1) - 12*x - 15)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 8*(14*x^2 - (3*x^2 - (x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(1/8*I + 1/8) - I + 1) - (3*x^2 + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 4*(11*x + 8)*sqrt(x + 1) + 72*x + 30)*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 8*(11*x + 3)*sqrt(x + 1) - 64*x - 20)*sqrt(sqrt(1/8*I + 1/8) + sqrt(-1/8*I + 1/8) + 2*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 1/2))/(x^2 + 1)) + 1/4*sqrt(sqrt(1/8*I + 1/8) + sqrt(-1/8*I + 1/8) + 2*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 1/2)*log(1/4*(2*(((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 3*(3*x - 1)*sqrt(x + 1) - 7*x + 9)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1)^2 + 2*(((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 4*((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(7*x + 1)*sqrt(x + 1) + 12*x - 14)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1) - 16*((((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 3*(3*x - 1)*sqrt(x + 1) - 7*x + 9)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1) - ((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 2*(11*x - 7)*sqrt(x + 1) - 16*x + 22)*sqrt(x + sqrt(x + 1)))*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 2*((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 2*((7*x + 1)*sqrt(x + 1) + 6*x - 7)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 4*sqrt(x + 1)*(x - 7) - 12*x + 44)*sqrt(x + sqrt(x + 1)) - ((3*x^2 - (x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(1/8*I + 1/8) - I + 1)^2 + (3*x^2 + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 68*x^2 - ((x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 2*x^2 - 4*(x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 4*(7*x + 6)*sqrt(x + 1) + 24*x + 30)*(4*sqrt(1/8*I + 1/8) - I + 1) + 2*(x^2 - 2*(7*x + 6)*sqrt(x + 1) - 12*x - 15)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 8*(14*x^2 - (3*x^2 - (x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(1/8*I + 1/8) - I + 1) - (3*x^2 + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 4*(11*x + 8)*sqrt(x + 1) + 72*x + 30)*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 8*(11*x + 3)*sqrt(x + 1) - 64*x - 20)*sqrt(sqrt(1/8*I + 1/8) + sqrt(-1/8*I + 1/8) + 2*sqrt(-3/64*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 3/64*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 1/32*(4*sqrt(1/8*I + 1/8) - I + 1)*(4*sqrt(-1/8*I + 1/8) + I - 3) + 1/2*sqrt(-1/8*I + 1/8) + 1/8*I + 1/8) - 1/2))/(x^2 + 1)) + 1/2*sqrt(-1/2*sqrt(1/8*I + 1/8) + 1/8*I - 1/8)*log(-((((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 3*(3*x - 1)*sqrt(x + 1) - 7*x + 9)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1)^2 + (((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 4*((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(7*x + 1)*sqrt(x + 1) + 12*x - 14)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1) + (((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^3 - 4*((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 + 4*((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(3*x - 1)*sqrt(x + 1) - 2*x + 14)*sqrt(x + sqrt(x + 1)) + ((x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^3 - (3*x^2 - (x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 4*(x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 18*x^2 + ((x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 2*x^2 - 4*(x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 4*(7*x + 6)*sqrt(x + 1) + 24*x + 30)*(4*sqrt(1/8*I + 1/8) - I + 1) + 4*(x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 4*(7*x + 1)*sqrt(x + 1) + 16*x - 10)*sqrt(-1/2*sqrt(1/8*I + 1/8) + 1/8*I - 1/8))/(x^2 + 1)) - 1/2*sqrt(-1/2*sqrt(1/8*I + 1/8) + 1/8*I - 1/8)*log(-((((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 3*(3*x - 1)*sqrt(x + 1) - 7*x + 9)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1)^2 + (((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 4*((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(7*x + 1)*sqrt(x + 1) + 12*x - 14)*sqrt(x + sqrt(x + 1))*(4*sqrt(1/8*I + 1/8) - I + 1) + (((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^3 - 4*((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 + 4*((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(3*x - 1)*sqrt(x + 1) - 2*x + 14)*sqrt(x + sqrt(x + 1)) - ((x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^3 - (3*x^2 - (x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 2*(9*x + 7)*sqrt(x + 1) + 24*x + 15)*(4*sqrt(1/8*I + 1/8) - I + 1)^2 - 4*(x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 18*x^2 + ((x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 2*x^2 - 4*(x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) + 4*(7*x + 6)*sqrt(x + 1) + 24*x + 30)*(4*sqrt(1/8*I + 1/8) - I + 1) + 4*(x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 4*(7*x + 1)*sqrt(x + 1) + 16*x - 10)*sqrt(-1/2*sqrt(1/8*I + 1/8) + 1/8*I - 1/8))/(x^2 + 1)) + 1/2*sqrt(-1/2*sqrt(-1/8*I + 1/8) - 1/8*I - 1/8)*log(((((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^3 - ((3*x - 1)*sqrt(x + 1) + 9*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 2*((x + 3)*sqrt(x + 1) - 2*x - 1)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 10*(3*x - 1)*sqrt(x + 1) - 30*x + 10)*sqrt(x + sqrt(x + 1)) + ((x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^3 - (x^2 + 6*(x + 3)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 + 10*x^2 + 2*(3*x^2 - 2*sqrt(x + 1)*(x - 2) + 4*x - 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 20*(x + 3)*sqrt(x + 1) - 80*x - 30)*sqrt(-1/2*sqrt(-1/8*I + 1/8) - 1/8*I - 1/8))/(x^2 + 1)) - 1/2*sqrt(-1/2*sqrt(-1/8*I + 1/8) - 1/8*I - 1/8)*log(((((3*x - 1)*sqrt(x + 1) + 4*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^3 - ((3*x - 1)*sqrt(x + 1) + 9*x - 3)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 - 2*((x + 3)*sqrt(x + 1) - 2*x - 1)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 10*(3*x - 1)*sqrt(x + 1) - 30*x + 10)*sqrt(x + sqrt(x + 1)) - ((x^2 + 2*(3*x + 4)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^3 - (x^2 + 6*(x + 3)*sqrt(x + 1) + 8*x + 5)*(4*sqrt(-1/8*I + 1/8) + I + 1)^2 + 10*x^2 + 2*(3*x^2 - 2*sqrt(x + 1)*(x - 2) + 4*x - 5)*(4*sqrt(-1/8*I + 1/8) + I + 1) - 20*(x + 3)*sqrt(x + 1) - 80*x - 30)*sqrt(-1/2*sqrt(-1/8*I + 1/8) - 1/8*I - 1/8))/(x^2 + 1))","B",0
2513,1,532,0,23.159631," ","integrate((2+x)^2*(9*x^3-30*x^2+66*x-19)^(1/3)/(-3+2*x)^2/(x^3-6*x^2+6*x-5),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} 2^{\frac{1}{3}} {\left(2 \, x - 3\right)} \arctan\left(-\frac{6 \, \sqrt{3} 2^{\frac{2}{3}} {\left(5380 \, x^{8} - 59100 \, x^{7} + 301161 \, x^{6} - 909412 \, x^{5} + 1740060 \, x^{4} - 2110416 \, x^{3} + 1545376 \, x^{2} - 606864 \, x + 94131\right)} {\left(9 \, x^{3} - 30 \, x^{2} + 66 \, x - 19\right)}^{\frac{1}{3}} - 42 \, \sqrt{3} 2^{\frac{1}{3}} {\left(82 \, x^{7} - 963 \, x^{6} + 4404 \, x^{5} - 10852 \, x^{4} + 15852 \, x^{3} - 14316 \, x^{2} + 7786 \, x - 1905\right)} {\left(9 \, x^{3} - 30 \, x^{2} + 66 \, x - 19\right)}^{\frac{2}{3}} + \sqrt{3} {\left(43721 \, x^{9} - 510066 \, x^{8} + 2889414 \, x^{7} - 10065027 \, x^{6} + 23187528 \, x^{5} - 35703864 \, x^{4} + 35637567 \, x^{3} - 21385926 \, x^{2} + 6711858 \, x - 806653\right)}}{3 \, {\left(62551 \, x^{9} - 773406 \, x^{8} + 4465170 \, x^{7} - 15587817 \, x^{6} + 35620200 \, x^{5} - 54275256 \, x^{4} + 54133401 \, x^{3} - 33459498 \, x^{2} + 11334294 \, x - 1538783\right)}}\right) - 2^{\frac{1}{3}} {\left(2 \, x - 3\right)} \log\left(\frac{3 \cdot 2^{\frac{2}{3}} {\left(82 \, x^{4} - 471 \, x^{3} + 1086 \, x^{2} - 1100 \, x + 381\right)} {\left(9 \, x^{3} - 30 \, x^{2} + 66 \, x - 19\right)}^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(1345 \, x^{6} - 10740 \, x^{5} + 40044 \, x^{4} - 83056 \, x^{3} + 95748 \, x^{2} - 53484 \, x + 10459\right)} + 12 \, {\left(68 \, x^{5} - 468 \, x^{4} + 1425 \, x^{3} - 2218 \, x^{2} + 1632 \, x - 414\right)} {\left(9 \, x^{3} - 30 \, x^{2} + 66 \, x - 19\right)}^{\frac{1}{3}}}{x^{6} - 12 \, x^{5} + 48 \, x^{4} - 82 \, x^{3} + 96 \, x^{2} - 60 \, x + 25}\right) + 2 \cdot 2^{\frac{1}{3}} {\left(2 \, x - 3\right)} \log\left(\frac{7 \cdot 2^{\frac{2}{3}} {\left(x^{3} - 6 \, x^{2} + 6 \, x - 5\right)} - 6 \cdot 2^{\frac{1}{3}} {\left(9 \, x^{3} - 30 \, x^{2} + 66 \, x - 19\right)}^{\frac{1}{3}} {\left(4 \, x^{2} - 12 \, x + 9\right)} + 6 \, {\left(9 \, x^{3} - 30 \, x^{2} + 66 \, x - 19\right)}^{\frac{2}{3}} {\left(2 \, x - 3\right)}}{x^{3} - 6 \, x^{2} + 6 \, x - 5}\right) + 18 \, {\left(9 \, x^{3} - 30 \, x^{2} + 66 \, x - 19\right)}^{\frac{1}{3}}}{18 \, {\left(2 \, x - 3\right)}}"," ",0,"1/18*(2*sqrt(3)*2^(1/3)*(2*x - 3)*arctan(-1/3*(6*sqrt(3)*2^(2/3)*(5380*x^8 - 59100*x^7 + 301161*x^6 - 909412*x^5 + 1740060*x^4 - 2110416*x^3 + 1545376*x^2 - 606864*x + 94131)*(9*x^3 - 30*x^2 + 66*x - 19)^(1/3) - 42*sqrt(3)*2^(1/3)*(82*x^7 - 963*x^6 + 4404*x^5 - 10852*x^4 + 15852*x^3 - 14316*x^2 + 7786*x - 1905)*(9*x^3 - 30*x^2 + 66*x - 19)^(2/3) + sqrt(3)*(43721*x^9 - 510066*x^8 + 2889414*x^7 - 10065027*x^6 + 23187528*x^5 - 35703864*x^4 + 35637567*x^3 - 21385926*x^2 + 6711858*x - 806653))/(62551*x^9 - 773406*x^8 + 4465170*x^7 - 15587817*x^6 + 35620200*x^5 - 54275256*x^4 + 54133401*x^3 - 33459498*x^2 + 11334294*x - 1538783)) - 2^(1/3)*(2*x - 3)*log((3*2^(2/3)*(82*x^4 - 471*x^3 + 1086*x^2 - 1100*x + 381)*(9*x^3 - 30*x^2 + 66*x - 19)^(2/3) + 2^(1/3)*(1345*x^6 - 10740*x^5 + 40044*x^4 - 83056*x^3 + 95748*x^2 - 53484*x + 10459) + 12*(68*x^5 - 468*x^4 + 1425*x^3 - 2218*x^2 + 1632*x - 414)*(9*x^3 - 30*x^2 + 66*x - 19)^(1/3))/(x^6 - 12*x^5 + 48*x^4 - 82*x^3 + 96*x^2 - 60*x + 25)) + 2*2^(1/3)*(2*x - 3)*log((7*2^(2/3)*(x^3 - 6*x^2 + 6*x - 5) - 6*2^(1/3)*(9*x^3 - 30*x^2 + 66*x - 19)^(1/3)*(4*x^2 - 12*x + 9) + 6*(9*x^3 - 30*x^2 + 66*x - 19)^(2/3)*(2*x - 3))/(x^3 - 6*x^2 + 6*x - 5)) + 18*(9*x^3 - 30*x^2 + 66*x - 19)^(1/3))/(2*x - 3)","B",0
2514,1,424,0,5.720962," ","integrate((x^3+1)/(x^3-1)/(x^4+x^2)^(1/3),x, algorithm=""fricas"")","-\frac{1}{18} \cdot 4^{\frac{1}{3}} \sqrt{3} \arctan\left(\frac{3 \cdot 4^{\frac{2}{3}} \sqrt{3} {\left(x^{4} + 2 \, x^{3} - 6 \, x^{2} + 2 \, x + 1\right)} {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} + 6 \cdot 4^{\frac{1}{3}} \sqrt{3} {\left(x^{5} + 14 \, x^{4} + 6 \, x^{3} + 14 \, x^{2} + x\right)} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} + \sqrt{3} {\left(x^{7} + 30 \, x^{6} + 51 \, x^{5} + 52 \, x^{4} + 51 \, x^{3} + 30 \, x^{2} + x\right)}}{3 \, {\left(x^{7} - 6 \, x^{6} - 93 \, x^{5} - 20 \, x^{4} - 93 \, x^{3} - 6 \, x^{2} + x\right)}}\right) - \frac{2}{3} \, \sqrt{3} \arctan\left(-\frac{1078 \, \sqrt{3} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} x + \sqrt{3} {\left(32 \, x^{3} - 605 \, x^{2} + 32 \, x\right)} - 196 \, \sqrt{3} {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}}}{8 \, x^{3} + 1331 \, x^{2} + 8 \, x}\right) - \frac{1}{36} \cdot 4^{\frac{1}{3}} \log\left(\frac{6 \cdot 4^{\frac{1}{3}} {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} {\left(x^{2} + 4 \, x + 1\right)} + 4^{\frac{2}{3}} {\left(x^{5} + 14 \, x^{4} + 6 \, x^{3} + 14 \, x^{2} + x\right)} + 24 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} + x^{2} + x\right)}}{x^{5} - 4 \, x^{4} + 6 \, x^{3} - 4 \, x^{2} + x}\right) + \frac{1}{18} \cdot 4^{\frac{1}{3}} \log\left(-\frac{3 \cdot 4^{\frac{2}{3}} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} x + 4^{\frac{1}{3}} {\left(x^{3} - 2 \, x^{2} + x\right)} - 6 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}}}{x^{3} - 2 \, x^{2} + x}\right) - \frac{1}{3} \, \log\left(\frac{x^{3} + x^{2} + 3 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} x + x + 3 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}}}{x^{3} + x^{2} + x}\right)"," ",0,"-1/18*4^(1/3)*sqrt(3)*arctan(1/3*(3*4^(2/3)*sqrt(3)*(x^4 + 2*x^3 - 6*x^2 + 2*x + 1)*(x^4 + x^2)^(2/3) + 6*4^(1/3)*sqrt(3)*(x^5 + 14*x^4 + 6*x^3 + 14*x^2 + x)*(x^4 + x^2)^(1/3) + sqrt(3)*(x^7 + 30*x^6 + 51*x^5 + 52*x^4 + 51*x^3 + 30*x^2 + x))/(x^7 - 6*x^6 - 93*x^5 - 20*x^4 - 93*x^3 - 6*x^2 + x)) - 2/3*sqrt(3)*arctan(-(1078*sqrt(3)*(x^4 + x^2)^(1/3)*x + sqrt(3)*(32*x^3 - 605*x^2 + 32*x) - 196*sqrt(3)*(x^4 + x^2)^(2/3))/(8*x^3 + 1331*x^2 + 8*x)) - 1/36*4^(1/3)*log((6*4^(1/3)*(x^4 + x^2)^(2/3)*(x^2 + 4*x + 1) + 4^(2/3)*(x^5 + 14*x^4 + 6*x^3 + 14*x^2 + x) + 24*(x^4 + x^2)^(1/3)*(x^3 + x^2 + x))/(x^5 - 4*x^4 + 6*x^3 - 4*x^2 + x)) + 1/18*4^(1/3)*log(-(3*4^(2/3)*(x^4 + x^2)^(1/3)*x + 4^(1/3)*(x^3 - 2*x^2 + x) - 6*(x^4 + x^2)^(2/3))/(x^3 - 2*x^2 + x)) - 1/3*log((x^3 + x^2 + 3*(x^4 + x^2)^(1/3)*x + x + 3*(x^4 + x^2)^(2/3))/(x^3 + x^2 + x))","B",0
2515,-1,0,0,0.000000," ","integrate(x*(4*a*b-3*(a+b)*x+2*x^2)/(x^2*(-a+x)*(-b+x))^(1/3)/(-a*b*d+(a+b)*d*x-d*x^2+x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2516,1,259,0,0.723408," ","integrate((a*x^4+b)^(1/2)/(a*x^4-b),x, algorithm=""fricas"")","\left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a b}\right)^{\frac{1}{4}} \arctan\left(\frac{\left(\frac{1}{4}\right)^{\frac{1}{4}} \sqrt{a x^{4} + b} \left(\frac{1}{a b}\right)^{\frac{1}{4}} - \frac{\left(\frac{1}{4}\right)^{\frac{1}{4}} a x^{2} \left(\frac{1}{a b}\right)^{\frac{1}{4}} + 2 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} a b \left(\frac{1}{a b}\right)^{\frac{3}{4}}}{\sqrt{a}}}{x}\right) - \frac{1}{4} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a b}\right)^{\frac{1}{4}} \log\left(\frac{4 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} a b x^{3} \left(\frac{1}{a b}\right)^{\frac{3}{4}} + 2 \, \left(\frac{1}{4}\right)^{\frac{1}{4}} b x \left(\frac{1}{a b}\right)^{\frac{1}{4}} + \sqrt{a x^{4} + b} {\left(x^{2} + b \sqrt{\frac{1}{a b}}\right)}}{a x^{4} - b}\right) + \frac{1}{4} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a b}\right)^{\frac{1}{4}} \log\left(-\frac{4 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} a b x^{3} \left(\frac{1}{a b}\right)^{\frac{3}{4}} + 2 \, \left(\frac{1}{4}\right)^{\frac{1}{4}} b x \left(\frac{1}{a b}\right)^{\frac{1}{4}} - \sqrt{a x^{4} + b} {\left(x^{2} + b \sqrt{\frac{1}{a b}}\right)}}{a x^{4} - b}\right)"," ",0,"(1/4)^(1/4)*(1/(a*b))^(1/4)*arctan(((1/4)^(1/4)*sqrt(a*x^4 + b)*(1/(a*b))^(1/4) - ((1/4)^(1/4)*a*x^2*(1/(a*b))^(1/4) + 2*(1/4)^(3/4)*a*b*(1/(a*b))^(3/4))/sqrt(a))/x) - 1/4*(1/4)^(1/4)*(1/(a*b))^(1/4)*log((4*(1/4)^(3/4)*a*b*x^3*(1/(a*b))^(3/4) + 2*(1/4)^(1/4)*b*x*(1/(a*b))^(1/4) + sqrt(a*x^4 + b)*(x^2 + b*sqrt(1/(a*b))))/(a*x^4 - b)) + 1/4*(1/4)^(1/4)*(1/(a*b))^(1/4)*log(-(4*(1/4)^(3/4)*a*b*x^3*(1/(a*b))^(3/4) + 2*(1/4)^(1/4)*b*x*(1/(a*b))^(1/4) - sqrt(a*x^4 + b)*(x^2 + b*sqrt(1/(a*b))))/(a*x^4 - b))","A",0
2517,1,251,0,21.424122," ","integrate((x^2+1)/(x^2+x-1)/(x^6-1)^(1/3),x, algorithm=""fricas"")","-\frac{1}{6} \cdot 4^{\frac{1}{6}} \sqrt{3} \left(-1\right)^{\frac{1}{3}} \arctan\left(\frac{4^{\frac{1}{6}} \sqrt{3} {\left(2 \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{6} - 1\right)}^{\frac{2}{3}} {\left(x^{2} - x - 1\right)} + 4 \, \left(-1\right)^{\frac{1}{3}} {\left(x^{6} - 1\right)}^{\frac{1}{3}} {\left(x^{4} - 2 \, x^{3} - x^{2} + 2 \, x + 1\right)} - 4^{\frac{1}{3}} {\left(x^{6} + 3 \, x^{5} - 5 \, x^{3} + 3 \, x - 1\right)}\right)}}{6 \, {\left(3 \, x^{6} - 3 \, x^{5} + 5 \, x^{3} - 3 \, x - 3\right)}}\right) - \frac{1}{24} \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(\frac{4^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{4} - 2 \, x^{3} - x^{2} + 2 \, x + 1\right)} - 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{6} - 1\right)}^{\frac{2}{3}} + 2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}} {\left(x^{2} - x - 1\right)}}{x^{4} + 2 \, x^{3} - x^{2} - 2 \, x + 1}\right) + \frac{1}{12} \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(\frac{4^{\frac{1}{3}} {\left(x^{2} - x - 1\right)} + 2 \, \left(-1\right)^{\frac{1}{3}} {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2} + x - 1}\right)"," ",0,"-1/6*4^(1/6)*sqrt(3)*(-1)^(1/3)*arctan(1/6*4^(1/6)*sqrt(3)*(2*4^(2/3)*(-1)^(2/3)*(x^6 - 1)^(2/3)*(x^2 - x - 1) + 4*(-1)^(1/3)*(x^6 - 1)^(1/3)*(x^4 - 2*x^3 - x^2 + 2*x + 1) - 4^(1/3)*(x^6 + 3*x^5 - 5*x^3 + 3*x - 1))/(3*x^6 - 3*x^5 + 5*x^3 - 3*x - 3)) - 1/24*4^(2/3)*(-1)^(1/3)*log((4^(1/3)*(-1)^(2/3)*(x^4 - 2*x^3 - x^2 + 2*x + 1) - 4^(2/3)*(-1)^(1/3)*(x^6 - 1)^(2/3) + 2*(x^6 - 1)^(1/3)*(x^2 - x - 1))/(x^4 + 2*x^3 - x^2 - 2*x + 1)) + 1/12*4^(2/3)*(-1)^(1/3)*log((4^(1/3)*(x^2 - x - 1) + 2*(-1)^(1/3)*(x^6 - 1)^(1/3))/(x^2 + x - 1))","A",0
2518,1,251,0,21.065407," ","integrate((x^2+1)/(x^2+x-1)/(x^6-1)^(1/3),x, algorithm=""fricas"")","-\frac{1}{6} \cdot 4^{\frac{1}{6}} \sqrt{3} \left(-1\right)^{\frac{1}{3}} \arctan\left(\frac{4^{\frac{1}{6}} \sqrt{3} {\left(2 \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{6} - 1\right)}^{\frac{2}{3}} {\left(x^{2} - x - 1\right)} + 4 \, \left(-1\right)^{\frac{1}{3}} {\left(x^{6} - 1\right)}^{\frac{1}{3}} {\left(x^{4} - 2 \, x^{3} - x^{2} + 2 \, x + 1\right)} - 4^{\frac{1}{3}} {\left(x^{6} + 3 \, x^{5} - 5 \, x^{3} + 3 \, x - 1\right)}\right)}}{6 \, {\left(3 \, x^{6} - 3 \, x^{5} + 5 \, x^{3} - 3 \, x - 3\right)}}\right) - \frac{1}{24} \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(\frac{4^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{4} - 2 \, x^{3} - x^{2} + 2 \, x + 1\right)} - 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{6} - 1\right)}^{\frac{2}{3}} + 2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}} {\left(x^{2} - x - 1\right)}}{x^{4} + 2 \, x^{3} - x^{2} - 2 \, x + 1}\right) + \frac{1}{12} \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(\frac{4^{\frac{1}{3}} {\left(x^{2} - x - 1\right)} + 2 \, \left(-1\right)^{\frac{1}{3}} {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2} + x - 1}\right)"," ",0,"-1/6*4^(1/6)*sqrt(3)*(-1)^(1/3)*arctan(1/6*4^(1/6)*sqrt(3)*(2*4^(2/3)*(-1)^(2/3)*(x^6 - 1)^(2/3)*(x^2 - x - 1) + 4*(-1)^(1/3)*(x^6 - 1)^(1/3)*(x^4 - 2*x^3 - x^2 + 2*x + 1) - 4^(1/3)*(x^6 + 3*x^5 - 5*x^3 + 3*x - 1))/(3*x^6 - 3*x^5 + 5*x^3 - 3*x - 3)) - 1/24*4^(2/3)*(-1)^(1/3)*log((4^(1/3)*(-1)^(2/3)*(x^4 - 2*x^3 - x^2 + 2*x + 1) - 4^(2/3)*(-1)^(1/3)*(x^6 - 1)^(2/3) + 2*(x^6 - 1)^(1/3)*(x^2 - x - 1))/(x^4 + 2*x^3 - x^2 - 2*x + 1)) + 1/12*4^(2/3)*(-1)^(1/3)*log((4^(1/3)*(x^2 - x - 1) + 2*(-1)^(1/3)*(x^6 - 1)^(1/3))/(x^2 + x - 1))","A",0
2519,1,9711,0,1.150764," ","integrate(x^3*(x^3-x^2)^(1/3)/(x^6+1),x, algorithm=""fricas"")","\frac{1}{12} \cdot 2^{\frac{2}{3}} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) \log\left(\frac{8 \, {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2 \cdot 2^{\frac{2}{3}} x\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \sqrt{4 \, \sqrt{3} + 7} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) + 2^{\frac{1}{3}} x^{2} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{3}} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + \frac{1}{12} \cdot 2^{\frac{2}{3}} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) \log\left(-\frac{8 \, {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2 \cdot 2^{\frac{2}{3}} x\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \sqrt{-4 \, \sqrt{3} + 7} \sin\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) - 2^{\frac{1}{3}} x^{2} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{3}} - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + \frac{1}{3} \cdot 2^{\frac{2}{3}} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \arctan\left(\frac{2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(4 \, \sqrt{3} 2^{\frac{1}{3}} - 7 \cdot 2^{\frac{1}{3}}\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} \sqrt{4 \, \sqrt{3} + 7} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) - \sqrt{2} {\left({\left(4 \, \sqrt{3} 2^{\frac{1}{3}} x - 7 \cdot 2^{\frac{1}{3}} x\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} \sqrt{4 \, \sqrt{3} + 7} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) - {\left(2 \, \sqrt{3} 2^{\frac{1}{3}} x - 3 \cdot 2^{\frac{1}{3}} x\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right)\right)} \sqrt{\frac{\sqrt{3} 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2 \cdot 2^{\frac{2}{3}} x\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \sqrt{4 \, \sqrt{3} + 7} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) + 2^{\frac{1}{3}} x^{2} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{3}} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, {\left({\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} 2^{\frac{1}{3}} - 3 \cdot 2^{\frac{1}{3}}\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} + 8 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) - 4 \, {\left(2 \, \sqrt{3} x - 3 \, x\right)} \sqrt{4 \, \sqrt{3} + 7}}{4 \, {\left(4 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right)^{2} - 3 \, x\right)}}\right) \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) - \frac{1}{3} \cdot 2^{\frac{2}{3}} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \arctan\left(-\frac{2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(4 \, \sqrt{3} 2^{\frac{1}{3}} + 7 \cdot 2^{\frac{1}{3}}\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} \sqrt{-4 \, \sqrt{3} + 7} \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) - \sqrt{2} {\left({\left(4 \, \sqrt{3} 2^{\frac{1}{3}} x + 7 \cdot 2^{\frac{1}{3}} x\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} \sqrt{-4 \, \sqrt{3} + 7} \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) + {\left(2 \, \sqrt{3} 2^{\frac{1}{3}} x + 3 \cdot 2^{\frac{1}{3}} x\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} \sin\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right)\right)} \sqrt{-\frac{\sqrt{3} 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2 \cdot 2^{\frac{2}{3}} x\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \sqrt{-4 \, \sqrt{3} + 7} \sin\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) - 2^{\frac{1}{3}} x^{2} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{3}} - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 2 \, {\left({\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} 2^{\frac{1}{3}} + 3 \cdot 2^{\frac{1}{3}}\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} - 8 \, x \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) - 4 \, {\left(2 \, \sqrt{3} x + 3 \, x\right)} \sqrt{-4 \, \sqrt{3} + 7}}{4 \, {\left(4 \, x \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right)^{2} - 3 \, x\right)}}\right) \sin\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) + \frac{1}{6} \cdot 2^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) \log\left(\frac{2 \cdot 2^{\frac{1}{6}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) + 2^{\frac{1}{3}} x^{2} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) + \frac{2}{3} \cdot 2^{\frac{1}{6}} \arctan\left(\frac{2^{\frac{5}{6}} x \sqrt{\frac{2 \cdot 2^{\frac{1}{6}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) + 2^{\frac{1}{3}} x^{2} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, x \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - 2^{\frac{5}{6}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{2 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)}\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - \frac{1}{6} \, {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) - 2^{\frac{2}{3}} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \sin\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right)\right)} \arctan\left(\frac{4 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left({\left(4 \, \sqrt{3} 2^{\frac{1}{3}} + 7 \cdot 2^{\frac{1}{3}}\right)} \sqrt{-4 \, \sqrt{3} + 7} + 3 \, \sqrt{3} 2^{\frac{1}{3}} + 6 \cdot 2^{\frac{1}{3}}\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right)^{2} - 6 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left({\left(4 \, \sqrt{3} 2^{\frac{1}{3}} + 7 \cdot 2^{\frac{1}{3}}\right)} \sqrt{-4 \, \sqrt{3} + 7} + \sqrt{3} 2^{\frac{1}{3}} + 2 \cdot 2^{\frac{1}{3}}\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} + 8 \, {\left(\sqrt{3} x - {\left(2 \, \sqrt{3} x + 3 \, x\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)} \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) - 4 \, {\left({\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left({\left(7 \, \sqrt{3} 2^{\frac{1}{3}} + 12 \cdot 2^{\frac{1}{3}}\right)} \sqrt{-4 \, \sqrt{3} + 7} - 2 \, \sqrt{3} 2^{\frac{1}{3}} - 3 \cdot 2^{\frac{1}{3}}\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) - 16 \, x \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right)^{2} + 6 \, {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 7} + 6 \, x\right)} \sin\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) - {\left(2 \, {\left(3 \, \sqrt{3} 2^{\frac{1}{3}} x + {\left(4 \, \sqrt{3} 2^{\frac{1}{3}} x + 7 \cdot 2^{\frac{1}{3}} x\right)} \sqrt{-4 \, \sqrt{3} + 7} + 6 \cdot 2^{\frac{1}{3}} x\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right)^{2} + 2 \, {\left(2 \, \sqrt{3} 2^{\frac{1}{3}} x - {\left(7 \, \sqrt{3} 2^{\frac{1}{3}} x + 12 \cdot 2^{\frac{1}{3}} x\right)} \sqrt{-4 \, \sqrt{3} + 7} + 3 \cdot 2^{\frac{1}{3}} x\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) \sin\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) - 3 \, {\left(\sqrt{3} 2^{\frac{1}{3}} x + {\left(4 \, \sqrt{3} 2^{\frac{1}{3}} x + 7 \cdot 2^{\frac{1}{3}} x\right)} \sqrt{-4 \, \sqrt{3} + 7} + 2 \cdot 2^{\frac{1}{3}} x\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}}\right)} \sqrt{\frac{2 \cdot 2^{\frac{1}{3}} x^{2} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{3}} + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - {\left(2 \, \sqrt{3} 2^{\frac{2}{3}} x + 3 \cdot 2^{\frac{2}{3}} x\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(3 \cdot 2^{\frac{2}{3}} x + {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2 \cdot 2^{\frac{2}{3}} x\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \sin\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) + 4 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}}}{16 \, {\left(4 \, x \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right)^{3} - 3 \, x \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right)\right)}}\right) - \frac{1}{6} \, {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) + 2^{\frac{2}{3}} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \sin\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right)\right)} \arctan\left(-\frac{4 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left({\left(4 \, \sqrt{3} 2^{\frac{1}{3}} + 7 \cdot 2^{\frac{1}{3}}\right)} \sqrt{-4 \, \sqrt{3} + 7} - 3 \, \sqrt{3} 2^{\frac{1}{3}} - 6 \cdot 2^{\frac{1}{3}}\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right)^{2} - 6 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left({\left(4 \, \sqrt{3} 2^{\frac{1}{3}} + 7 \cdot 2^{\frac{1}{3}}\right)} \sqrt{-4 \, \sqrt{3} + 7} - \sqrt{3} 2^{\frac{1}{3}} - 2 \cdot 2^{\frac{1}{3}}\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} - 8 \, {\left(\sqrt{3} x + {\left(2 \, \sqrt{3} x + 3 \, x\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)} \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) + 4 \, {\left({\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left({\left(7 \, \sqrt{3} 2^{\frac{1}{3}} + 12 \cdot 2^{\frac{1}{3}}\right)} \sqrt{-4 \, \sqrt{3} + 7} + 2 \, \sqrt{3} 2^{\frac{1}{3}} + 3 \cdot 2^{\frac{1}{3}}\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) + 16 \, x \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right)^{2} + 6 \, {\left(\sqrt{3} x + 2 \, x\right)} \sqrt{-4 \, \sqrt{3} + 7} - 6 \, x\right)} \sin\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) + {\left(2 \, {\left(3 \, \sqrt{3} 2^{\frac{1}{3}} x - {\left(4 \, \sqrt{3} 2^{\frac{1}{3}} x + 7 \cdot 2^{\frac{1}{3}} x\right)} \sqrt{-4 \, \sqrt{3} + 7} + 6 \cdot 2^{\frac{1}{3}} x\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right)^{2} - 2 \, {\left(2 \, \sqrt{3} 2^{\frac{1}{3}} x + {\left(7 \, \sqrt{3} 2^{\frac{1}{3}} x + 12 \cdot 2^{\frac{1}{3}} x\right)} \sqrt{-4 \, \sqrt{3} + 7} + 3 \cdot 2^{\frac{1}{3}} x\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) \sin\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) - 3 \, {\left(\sqrt{3} 2^{\frac{1}{3}} x - {\left(4 \, \sqrt{3} 2^{\frac{1}{3}} x + 7 \cdot 2^{\frac{1}{3}} x\right)} \sqrt{-4 \, \sqrt{3} + 7} + 2 \cdot 2^{\frac{1}{3}} x\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}}\right)} \sqrt{\frac{2 \cdot 2^{\frac{1}{3}} x^{2} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{3}} + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + {\left(2 \, \sqrt{3} 2^{\frac{2}{3}} x + 3 \cdot 2^{\frac{2}{3}} x\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(3 \cdot 2^{\frac{2}{3}} x - {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2 \cdot 2^{\frac{2}{3}} x\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \sin\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) + 4 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}}}{16 \, {\left(4 \, x \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right)^{3} - 3 \, x \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right)\right)}}\right) + \frac{1}{6} \, {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) - 2^{\frac{2}{3}} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right)\right)} \arctan\left(-\frac{4 \, {\left({\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(4 \, \sqrt{3} 2^{\frac{1}{3}} - 7 \cdot 2^{\frac{1}{3}}\right)} \sqrt{4 \, \sqrt{3} + 7} + 3 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{1}{3}} - 2 \cdot 2^{\frac{1}{3}}\right)}\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right)^{2} + 8 \, {\left(\sqrt{3} x - {\left(2 \, \sqrt{3} x - 3 \, x\right)} \sqrt{4 \, \sqrt{3} + 7}\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) + 4 \, {\left(16 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right)^{2} + {\left({\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(7 \, \sqrt{3} 2^{\frac{1}{3}} - 12 \cdot 2^{\frac{1}{3}}\right)} \sqrt{4 \, \sqrt{3} + 7} - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} 2^{\frac{1}{3}} - 3 \cdot 2^{\frac{1}{3}}\right)}\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) + 6 \, {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{4 \, \sqrt{3} + 7} - 6 \, x\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) - 6 \, {\left({\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(4 \, \sqrt{3} 2^{\frac{1}{3}} - 7 \cdot 2^{\frac{1}{3}}\right)} \sqrt{4 \, \sqrt{3} + 7} + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{1}{3}} - 2 \cdot 2^{\frac{1}{3}}\right)}\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} - {\left(2 \, {\left(3 \, \sqrt{3} 2^{\frac{1}{3}} x + {\left(4 \, \sqrt{3} 2^{\frac{1}{3}} x - 7 \cdot 2^{\frac{1}{3}} x\right)} \sqrt{4 \, \sqrt{3} + 7} - 6 \cdot 2^{\frac{1}{3}} x\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right)^{2} - 2 \, {\left(2 \, \sqrt{3} 2^{\frac{1}{3}} x - {\left(7 \, \sqrt{3} 2^{\frac{1}{3}} x - 12 \cdot 2^{\frac{1}{3}} x\right)} \sqrt{4 \, \sqrt{3} + 7} - 3 \cdot 2^{\frac{1}{3}} x\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) - 3 \, {\left(\sqrt{3} 2^{\frac{1}{3}} x + {\left(4 \, \sqrt{3} 2^{\frac{1}{3}} x - 7 \cdot 2^{\frac{1}{3}} x\right)} \sqrt{4 \, \sqrt{3} + 7} - 2 \cdot 2^{\frac{1}{3}} x\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}}\right)} \sqrt{\frac{2 \cdot 2^{\frac{1}{3}} x^{2} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{3}} - {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} 2^{\frac{2}{3}} x - 3 \cdot 2^{\frac{2}{3}} x\right)} \sqrt{4 \, \sqrt{3} + 7}\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) - {\left(3 \cdot 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2 \cdot 2^{\frac{2}{3}} x\right)} \sqrt{4 \, \sqrt{3} + 7}\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) + 4 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}}}{16 \, {\left(4 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right)^{3} - 3 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right)\right)}}\right) + \frac{1}{6} \, {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) + 2^{\frac{2}{3}} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right)\right)} \arctan\left(\frac{4 \, {\left({\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(4 \, \sqrt{3} 2^{\frac{1}{3}} - 7 \cdot 2^{\frac{1}{3}}\right)} \sqrt{4 \, \sqrt{3} + 7} - 3 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{1}{3}} - 2 \cdot 2^{\frac{1}{3}}\right)}\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right)^{2} - 8 \, {\left(\sqrt{3} x + {\left(2 \, \sqrt{3} x - 3 \, x\right)} \sqrt{4 \, \sqrt{3} + 7}\right)} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) + 4 \, {\left(16 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right)^{2} - {\left({\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(7 \, \sqrt{3} 2^{\frac{1}{3}} - 12 \cdot 2^{\frac{1}{3}}\right)} \sqrt{4 \, \sqrt{3} + 7} + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} 2^{\frac{1}{3}} - 3 \cdot 2^{\frac{1}{3}}\right)}\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) - 6 \, {\left(\sqrt{3} x - 2 \, x\right)} \sqrt{4 \, \sqrt{3} + 7} - 6 \, x\right)} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) - 6 \, {\left({\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(4 \, \sqrt{3} 2^{\frac{1}{3}} - 7 \cdot 2^{\frac{1}{3}}\right)} \sqrt{4 \, \sqrt{3} + 7} - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{1}{3}} - 2 \cdot 2^{\frac{1}{3}}\right)}\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} + {\left(2 \, {\left(3 \, \sqrt{3} 2^{\frac{1}{3}} x - {\left(4 \, \sqrt{3} 2^{\frac{1}{3}} x - 7 \cdot 2^{\frac{1}{3}} x\right)} \sqrt{4 \, \sqrt{3} + 7} - 6 \cdot 2^{\frac{1}{3}} x\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right)^{2} + 2 \, {\left(2 \, \sqrt{3} 2^{\frac{1}{3}} x + {\left(7 \, \sqrt{3} 2^{\frac{1}{3}} x - 12 \cdot 2^{\frac{1}{3}} x\right)} \sqrt{4 \, \sqrt{3} + 7} - 3 \cdot 2^{\frac{1}{3}} x\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) - 3 \, {\left(\sqrt{3} 2^{\frac{1}{3}} x - {\left(4 \, \sqrt{3} 2^{\frac{1}{3}} x - 7 \cdot 2^{\frac{1}{3}} x\right)} \sqrt{4 \, \sqrt{3} + 7} - 2 \cdot 2^{\frac{1}{3}} x\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{5}{6}}\right)} \sqrt{\frac{2 \cdot 2^{\frac{1}{3}} x^{2} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{3}} - {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} 2^{\frac{2}{3}} x - 3 \cdot 2^{\frac{2}{3}} x\right)} \sqrt{4 \, \sqrt{3} + 7}\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) + {\left(3 \cdot 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2 \cdot 2^{\frac{2}{3}} x\right)} \sqrt{4 \, \sqrt{3} + 7}\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) + 4 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}}}{16 \, {\left(4 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right)^{3} - 3 \, x \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right)\right)}}\right) + \frac{1}{3} \, {\left(\sqrt{3} 2^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - 2^{\frac{1}{6}} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)\right)} \arctan\left(\frac{2^{\frac{5}{6}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - {\left(4 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) + \sqrt{3} 2^{\frac{5}{6}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) + \sqrt{3} x + {\left(\sqrt{3} 2^{\frac{5}{6}} x \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - 2^{\frac{5}{6}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)\right)} \sqrt{\frac{\sqrt{3} 2^{\frac{1}{6}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - 2^{\frac{1}{6}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) + 2^{\frac{1}{3}} x^{2} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}}}{4 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)^{2} - 3 \, x}\right) + \frac{1}{3} \, {\left(\sqrt{3} 2^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) + 2^{\frac{1}{6}} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)\right)} \arctan\left(-\frac{2^{\frac{5}{6}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - {\left(4 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - \sqrt{3} 2^{\frac{5}{6}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - \sqrt{3} x - {\left(\sqrt{3} 2^{\frac{5}{6}} x \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) + 2^{\frac{5}{6}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)\right)} \sqrt{-\frac{\sqrt{3} 2^{\frac{1}{6}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) + 2^{\frac{1}{6}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - 2^{\frac{1}{3}} x^{2} - {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}}}{4 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)^{2} - 3 \, x}\right) + \frac{1}{12} \, {\left(\sqrt{3} 2^{\frac{1}{6}} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - 2^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)\right)} \log\left(-\frac{4 \, {\left(\sqrt{3} 2^{\frac{1}{6}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) + 2^{\frac{1}{6}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - 2^{\frac{1}{3}} x^{2} - {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - \frac{1}{12} \, {\left(\sqrt{3} 2^{\frac{1}{6}} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) + 2^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right)\right)} \log\left(\frac{4 \, {\left(\sqrt{3} 2^{\frac{1}{6}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) - 2^{\frac{1}{6}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{2} + 1\right)\right) + 2^{\frac{1}{3}} x^{2} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + \frac{1}{24} \, {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) - 2^{\frac{2}{3}} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right)\right)} \log\left(\frac{16 \, {\left(2 \cdot 2^{\frac{1}{3}} x^{2} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{3}} - {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} 2^{\frac{2}{3}} x - 3 \cdot 2^{\frac{2}{3}} x\right)} \sqrt{4 \, \sqrt{3} + 7}\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) + {\left(3 \cdot 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2 \cdot 2^{\frac{2}{3}} x\right)} \sqrt{4 \, \sqrt{3} + 7}\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) + 4 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - \frac{1}{24} \, {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) + 2^{\frac{2}{3}} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right)\right)} \log\left(\frac{16 \, {\left(2 \cdot 2^{\frac{1}{3}} x^{2} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{3}} - {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} 2^{\frac{2}{3}} x - 3 \cdot 2^{\frac{2}{3}} x\right)} \sqrt{4 \, \sqrt{3} + 7}\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) - {\left(3 \cdot 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2 \cdot 2^{\frac{2}{3}} x\right)} \sqrt{4 \, \sqrt{3} + 7}\right)} {\left(4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \sin\left(\frac{2}{3} \, \arctan\left(2 \, \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)} \sqrt{\sqrt{3} + 2} - \sqrt{4 \, \sqrt{3} + 7} {\left(4 \, \sqrt{3} - 7\right)}\right)\right) + 4 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + \frac{1}{24} \, {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \sin\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) - 2^{\frac{2}{3}} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right)\right)} \log\left(\frac{16 \, {\left(2 \cdot 2^{\frac{1}{3}} x^{2} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{3}} + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + {\left(2 \, \sqrt{3} 2^{\frac{2}{3}} x + 3 \cdot 2^{\frac{2}{3}} x\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(3 \cdot 2^{\frac{2}{3}} x - {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2 \cdot 2^{\frac{2}{3}} x\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \sin\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) + 4 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - \frac{1}{24} \, {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \sin\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) + 2^{\frac{2}{3}} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right)\right)} \log\left(\frac{16 \, {\left(2 \cdot 2^{\frac{1}{3}} x^{2} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{3}} + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - {\left(2 \, \sqrt{3} 2^{\frac{2}{3}} x + 3 \cdot 2^{\frac{2}{3}} x\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \cos\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(3 \cdot 2^{\frac{2}{3}} x + {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2 \cdot 2^{\frac{2}{3}} x\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)} {\left(-4 \, \sqrt{3} + 8\right)}^{\frac{1}{6}} \sin\left(\frac{2}{3} \, \arctan\left({\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 8} \sqrt{-4 \, \sqrt{3} + 7} - {\left(4 \, \sqrt{3} + 7\right)} \sqrt{-4 \, \sqrt{3} + 7}\right)\right) + 4 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right)"," ",0,"1/12*2^(2/3)*(4*sqrt(3) + 8)^(1/6)*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)))*log(8*(sqrt(3)*2^(2/3)*(x^3 - x^2)^(1/3)*x*(4*sqrt(3) + 8)^(1/6)*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) - (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2*2^(2/3)*x)*(4*sqrt(3) + 8)^(1/6)*sqrt(4*sqrt(3) + 7)*sin(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) + 2^(1/3)*x^2*(4*sqrt(3) + 8)^(1/3) + 2*(x^3 - x^2)^(2/3))/x^2) + 1/12*2^(2/3)*(-4*sqrt(3) + 8)^(1/6)*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7)))*log(-8*(sqrt(3)*2^(2/3)*(x^3 - x^2)^(1/3)*x*(-4*sqrt(3) + 8)^(1/6)*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) + (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + 2*2^(2/3)*x)*(-4*sqrt(3) + 8)^(1/6)*sqrt(-4*sqrt(3) + 7)*sin(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) - 2^(1/3)*x^2*(-4*sqrt(3) + 8)^(1/3) - 2*(x^3 - x^2)^(2/3))/x^2) + 1/3*2^(2/3)*(4*sqrt(3) + 8)^(1/6)*arctan(1/4*(2*(x^3 - x^2)^(1/3)*(4*sqrt(3)*2^(1/3) - 7*2^(1/3))*(4*sqrt(3) + 8)^(5/6)*sqrt(4*sqrt(3) + 7)*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) - sqrt(2)*((4*sqrt(3)*2^(1/3)*x - 7*2^(1/3)*x)*(4*sqrt(3) + 8)^(5/6)*sqrt(4*sqrt(3) + 7)*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) - (2*sqrt(3)*2^(1/3)*x - 3*2^(1/3)*x)*(4*sqrt(3) + 8)^(5/6)*sin(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))))*sqrt((sqrt(3)*2^(2/3)*(x^3 - x^2)^(1/3)*x*(4*sqrt(3) + 8)^(1/6)*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) - (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2*2^(2/3)*x)*(4*sqrt(3) + 8)^(1/6)*sqrt(4*sqrt(3) + 7)*sin(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) + 2^(1/3)*x^2*(4*sqrt(3) + 8)^(1/3) + 2*(x^3 - x^2)^(2/3))/x^2) - 2*((x^3 - x^2)^(1/3)*(2*sqrt(3)*2^(1/3) - 3*2^(1/3))*(4*sqrt(3) + 8)^(5/6) + 8*x*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))))*sin(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) - 4*(2*sqrt(3)*x - 3*x)*sqrt(4*sqrt(3) + 7))/(4*x*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)))^2 - 3*x))*sin(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) - 1/3*2^(2/3)*(-4*sqrt(3) + 8)^(1/6)*arctan(-1/4*(2*(x^3 - x^2)^(1/3)*(4*sqrt(3)*2^(1/3) + 7*2^(1/3))*(-4*sqrt(3) + 8)^(5/6)*sqrt(-4*sqrt(3) + 7)*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) - sqrt(2)*((4*sqrt(3)*2^(1/3)*x + 7*2^(1/3)*x)*(-4*sqrt(3) + 8)^(5/6)*sqrt(-4*sqrt(3) + 7)*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) + (2*sqrt(3)*2^(1/3)*x + 3*2^(1/3)*x)*(-4*sqrt(3) + 8)^(5/6)*sin(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))))*sqrt(-(sqrt(3)*2^(2/3)*(x^3 - x^2)^(1/3)*x*(-4*sqrt(3) + 8)^(1/6)*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) + (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + 2*2^(2/3)*x)*(-4*sqrt(3) + 8)^(1/6)*sqrt(-4*sqrt(3) + 7)*sin(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) - 2^(1/3)*x^2*(-4*sqrt(3) + 8)^(1/3) - 2*(x^3 - x^2)^(2/3))/x^2) + 2*((x^3 - x^2)^(1/3)*(2*sqrt(3)*2^(1/3) + 3*2^(1/3))*(-4*sqrt(3) + 8)^(5/6) - 8*x*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))))*sin(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) - 4*(2*sqrt(3)*x + 3*x)*sqrt(-4*sqrt(3) + 7))/(4*x*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7)))^2 - 3*x))*sin(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) + 1/6*2^(1/6)*cos(2/3*arctan(sqrt(2) + 1))*log((2*2^(1/6)*(x^3 - x^2)^(1/3)*x*sin(2/3*arctan(sqrt(2) + 1)) + 2^(1/3)*x^2 + (x^3 - x^2)^(2/3))/x^2) + 2/3*2^(1/6)*arctan(1/2*(2^(5/6)*x*sqrt((2*2^(1/6)*(x^3 - x^2)^(1/3)*x*sin(2/3*arctan(sqrt(2) + 1)) + 2^(1/3)*x^2 + (x^3 - x^2)^(2/3))/x^2) - 2*x*sin(2/3*arctan(sqrt(2) + 1)) - 2^(5/6)*(x^3 - x^2)^(1/3))/(x*cos(2/3*arctan(sqrt(2) + 1))))*sin(2/3*arctan(sqrt(2) + 1)) - 1/6*(sqrt(3)*2^(2/3)*(-4*sqrt(3) + 8)^(1/6)*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) - 2^(2/3)*(-4*sqrt(3) + 8)^(1/6)*sin(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))))*arctan(1/16*(4*(x^3 - x^2)^(1/3)*((4*sqrt(3)*2^(1/3) + 7*2^(1/3))*sqrt(-4*sqrt(3) + 7) + 3*sqrt(3)*2^(1/3) + 6*2^(1/3))*(-4*sqrt(3) + 8)^(5/6)*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7)))^2 - 6*(x^3 - x^2)^(1/3)*((4*sqrt(3)*2^(1/3) + 7*2^(1/3))*sqrt(-4*sqrt(3) + 7) + sqrt(3)*2^(1/3) + 2*2^(1/3))*(-4*sqrt(3) + 8)^(5/6) + 8*(sqrt(3)*x - (2*sqrt(3)*x + 3*x)*sqrt(-4*sqrt(3) + 7))*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) - 4*((x^3 - x^2)^(1/3)*((7*sqrt(3)*2^(1/3) + 12*2^(1/3))*sqrt(-4*sqrt(3) + 7) - 2*sqrt(3)*2^(1/3) - 3*2^(1/3))*(-4*sqrt(3) + 8)^(5/6)*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) - 16*x*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7)))^2 + 6*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 7) + 6*x)*sin(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) - (2*(3*sqrt(3)*2^(1/3)*x + (4*sqrt(3)*2^(1/3)*x + 7*2^(1/3)*x)*sqrt(-4*sqrt(3) + 7) + 6*2^(1/3)*x)*(-4*sqrt(3) + 8)^(5/6)*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7)))^2 + 2*(2*sqrt(3)*2^(1/3)*x - (7*sqrt(3)*2^(1/3)*x + 12*2^(1/3)*x)*sqrt(-4*sqrt(3) + 7) + 3*2^(1/3)*x)*(-4*sqrt(3) + 8)^(5/6)*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7)))*sin(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) - 3*(sqrt(3)*2^(1/3)*x + (4*sqrt(3)*2^(1/3)*x + 7*2^(1/3)*x)*sqrt(-4*sqrt(3) + 7) + 2*2^(1/3)*x)*(-4*sqrt(3) + 8)^(5/6))*sqrt((2*2^(1/3)*x^2*(-4*sqrt(3) + 8)^(1/3) + (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - (2*sqrt(3)*2^(2/3)*x + 3*2^(2/3)*x)*sqrt(-4*sqrt(3) + 7))*(-4*sqrt(3) + 8)^(1/6)*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) + (x^3 - x^2)^(1/3)*(3*2^(2/3)*x + (sqrt(3)*2^(2/3)*x + 2*2^(2/3)*x)*sqrt(-4*sqrt(3) + 7))*(-4*sqrt(3) + 8)^(1/6)*sin(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) + 4*(x^3 - x^2)^(2/3))/x^2))/(4*x*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7)))^3 - 3*x*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))))) - 1/6*(sqrt(3)*2^(2/3)*(-4*sqrt(3) + 8)^(1/6)*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) + 2^(2/3)*(-4*sqrt(3) + 8)^(1/6)*sin(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))))*arctan(-1/16*(4*(x^3 - x^2)^(1/3)*((4*sqrt(3)*2^(1/3) + 7*2^(1/3))*sqrt(-4*sqrt(3) + 7) - 3*sqrt(3)*2^(1/3) - 6*2^(1/3))*(-4*sqrt(3) + 8)^(5/6)*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7)))^2 - 6*(x^3 - x^2)^(1/3)*((4*sqrt(3)*2^(1/3) + 7*2^(1/3))*sqrt(-4*sqrt(3) + 7) - sqrt(3)*2^(1/3) - 2*2^(1/3))*(-4*sqrt(3) + 8)^(5/6) - 8*(sqrt(3)*x + (2*sqrt(3)*x + 3*x)*sqrt(-4*sqrt(3) + 7))*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) + 4*((x^3 - x^2)^(1/3)*((7*sqrt(3)*2^(1/3) + 12*2^(1/3))*sqrt(-4*sqrt(3) + 7) + 2*sqrt(3)*2^(1/3) + 3*2^(1/3))*(-4*sqrt(3) + 8)^(5/6)*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) + 16*x*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7)))^2 + 6*(sqrt(3)*x + 2*x)*sqrt(-4*sqrt(3) + 7) - 6*x)*sin(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) + (2*(3*sqrt(3)*2^(1/3)*x - (4*sqrt(3)*2^(1/3)*x + 7*2^(1/3)*x)*sqrt(-4*sqrt(3) + 7) + 6*2^(1/3)*x)*(-4*sqrt(3) + 8)^(5/6)*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7)))^2 - 2*(2*sqrt(3)*2^(1/3)*x + (7*sqrt(3)*2^(1/3)*x + 12*2^(1/3)*x)*sqrt(-4*sqrt(3) + 7) + 3*2^(1/3)*x)*(-4*sqrt(3) + 8)^(5/6)*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7)))*sin(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) - 3*(sqrt(3)*2^(1/3)*x - (4*sqrt(3)*2^(1/3)*x + 7*2^(1/3)*x)*sqrt(-4*sqrt(3) + 7) + 2*2^(1/3)*x)*(-4*sqrt(3) + 8)^(5/6))*sqrt((2*2^(1/3)*x^2*(-4*sqrt(3) + 8)^(1/3) + (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + (2*sqrt(3)*2^(2/3)*x + 3*2^(2/3)*x)*sqrt(-4*sqrt(3) + 7))*(-4*sqrt(3) + 8)^(1/6)*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) - (x^3 - x^2)^(1/3)*(3*2^(2/3)*x - (sqrt(3)*2^(2/3)*x + 2*2^(2/3)*x)*sqrt(-4*sqrt(3) + 7))*(-4*sqrt(3) + 8)^(1/6)*sin(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) + 4*(x^3 - x^2)^(2/3))/x^2))/(4*x*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7)))^3 - 3*x*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))))) + 1/6*(sqrt(3)*2^(2/3)*(4*sqrt(3) + 8)^(1/6)*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) - 2^(2/3)*(4*sqrt(3) + 8)^(1/6)*sin(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))))*arctan(-1/16*(4*((x^3 - x^2)^(1/3)*(4*sqrt(3)*2^(1/3) - 7*2^(1/3))*sqrt(4*sqrt(3) + 7) + 3*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(1/3) - 2*2^(1/3)))*(4*sqrt(3) + 8)^(5/6)*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)))^2 + 8*(sqrt(3)*x - (2*sqrt(3)*x - 3*x)*sqrt(4*sqrt(3) + 7))*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) + 4*(16*x*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)))^2 + ((x^3 - x^2)^(1/3)*(7*sqrt(3)*2^(1/3) - 12*2^(1/3))*sqrt(4*sqrt(3) + 7) - (x^3 - x^2)^(1/3)*(2*sqrt(3)*2^(1/3) - 3*2^(1/3)))*(4*sqrt(3) + 8)^(5/6)*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) + 6*(sqrt(3)*x - 2*x)*sqrt(4*sqrt(3) + 7) - 6*x)*sin(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) - 6*((x^3 - x^2)^(1/3)*(4*sqrt(3)*2^(1/3) - 7*2^(1/3))*sqrt(4*sqrt(3) + 7) + (x^3 - x^2)^(1/3)*(sqrt(3)*2^(1/3) - 2*2^(1/3)))*(4*sqrt(3) + 8)^(5/6) - (2*(3*sqrt(3)*2^(1/3)*x + (4*sqrt(3)*2^(1/3)*x - 7*2^(1/3)*x)*sqrt(4*sqrt(3) + 7) - 6*2^(1/3)*x)*(4*sqrt(3) + 8)^(5/6)*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)))^2 - 2*(2*sqrt(3)*2^(1/3)*x - (7*sqrt(3)*2^(1/3)*x - 12*2^(1/3)*x)*sqrt(4*sqrt(3) + 7) - 3*2^(1/3)*x)*(4*sqrt(3) + 8)^(5/6)*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)))*sin(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) - 3*(sqrt(3)*2^(1/3)*x + (4*sqrt(3)*2^(1/3)*x - 7*2^(1/3)*x)*sqrt(4*sqrt(3) + 7) - 2*2^(1/3)*x)*(4*sqrt(3) + 8)^(5/6))*sqrt((2*2^(1/3)*x^2*(4*sqrt(3) + 8)^(1/3) - (sqrt(3)*2^(2/3)*(x^3 - x^2)^(1/3)*x - (x^3 - x^2)^(1/3)*(2*sqrt(3)*2^(2/3)*x - 3*2^(2/3)*x)*sqrt(4*sqrt(3) + 7))*(4*sqrt(3) + 8)^(1/6)*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) - (3*2^(2/3)*(x^3 - x^2)^(1/3)*x - (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2*2^(2/3)*x)*sqrt(4*sqrt(3) + 7))*(4*sqrt(3) + 8)^(1/6)*sin(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) + 4*(x^3 - x^2)^(2/3))/x^2))/(4*x*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)))^3 - 3*x*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))))) + 1/6*(sqrt(3)*2^(2/3)*(4*sqrt(3) + 8)^(1/6)*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) + 2^(2/3)*(4*sqrt(3) + 8)^(1/6)*sin(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))))*arctan(1/16*(4*((x^3 - x^2)^(1/3)*(4*sqrt(3)*2^(1/3) - 7*2^(1/3))*sqrt(4*sqrt(3) + 7) - 3*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(1/3) - 2*2^(1/3)))*(4*sqrt(3) + 8)^(5/6)*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)))^2 - 8*(sqrt(3)*x + (2*sqrt(3)*x - 3*x)*sqrt(4*sqrt(3) + 7))*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) + 4*(16*x*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)))^2 - ((x^3 - x^2)^(1/3)*(7*sqrt(3)*2^(1/3) - 12*2^(1/3))*sqrt(4*sqrt(3) + 7) + (x^3 - x^2)^(1/3)*(2*sqrt(3)*2^(1/3) - 3*2^(1/3)))*(4*sqrt(3) + 8)^(5/6)*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) - 6*(sqrt(3)*x - 2*x)*sqrt(4*sqrt(3) + 7) - 6*x)*sin(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) - 6*((x^3 - x^2)^(1/3)*(4*sqrt(3)*2^(1/3) - 7*2^(1/3))*sqrt(4*sqrt(3) + 7) - (x^3 - x^2)^(1/3)*(sqrt(3)*2^(1/3) - 2*2^(1/3)))*(4*sqrt(3) + 8)^(5/6) + (2*(3*sqrt(3)*2^(1/3)*x - (4*sqrt(3)*2^(1/3)*x - 7*2^(1/3)*x)*sqrt(4*sqrt(3) + 7) - 6*2^(1/3)*x)*(4*sqrt(3) + 8)^(5/6)*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)))^2 + 2*(2*sqrt(3)*2^(1/3)*x + (7*sqrt(3)*2^(1/3)*x - 12*2^(1/3)*x)*sqrt(4*sqrt(3) + 7) - 3*2^(1/3)*x)*(4*sqrt(3) + 8)^(5/6)*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)))*sin(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) - 3*(sqrt(3)*2^(1/3)*x - (4*sqrt(3)*2^(1/3)*x - 7*2^(1/3)*x)*sqrt(4*sqrt(3) + 7) - 2*2^(1/3)*x)*(4*sqrt(3) + 8)^(5/6))*sqrt((2*2^(1/3)*x^2*(4*sqrt(3) + 8)^(1/3) - (sqrt(3)*2^(2/3)*(x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(1/3)*(2*sqrt(3)*2^(2/3)*x - 3*2^(2/3)*x)*sqrt(4*sqrt(3) + 7))*(4*sqrt(3) + 8)^(1/6)*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) + (3*2^(2/3)*(x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2*2^(2/3)*x)*sqrt(4*sqrt(3) + 7))*(4*sqrt(3) + 8)^(1/6)*sin(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) + 4*(x^3 - x^2)^(2/3))/x^2))/(4*x*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)))^3 - 3*x*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))))) + 1/3*(sqrt(3)*2^(1/6)*cos(2/3*arctan(sqrt(2) + 1)) - 2^(1/6)*sin(2/3*arctan(sqrt(2) + 1)))*arctan((2^(5/6)*(x^3 - x^2)^(1/3)*cos(2/3*arctan(sqrt(2) + 1)) - (4*x*cos(2/3*arctan(sqrt(2) + 1)) + sqrt(3)*2^(5/6)*(x^3 - x^2)^(1/3))*sin(2/3*arctan(sqrt(2) + 1)) + sqrt(3)*x + (sqrt(3)*2^(5/6)*x*sin(2/3*arctan(sqrt(2) + 1)) - 2^(5/6)*x*cos(2/3*arctan(sqrt(2) + 1)))*sqrt((sqrt(3)*2^(1/6)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(2) + 1)) - 2^(1/6)*(x^3 - x^2)^(1/3)*x*sin(2/3*arctan(sqrt(2) + 1)) + 2^(1/3)*x^2 + (x^3 - x^2)^(2/3))/x^2))/(4*x*cos(2/3*arctan(sqrt(2) + 1))^2 - 3*x)) + 1/3*(sqrt(3)*2^(1/6)*cos(2/3*arctan(sqrt(2) + 1)) + 2^(1/6)*sin(2/3*arctan(sqrt(2) + 1)))*arctan(-(2^(5/6)*(x^3 - x^2)^(1/3)*cos(2/3*arctan(sqrt(2) + 1)) - (4*x*cos(2/3*arctan(sqrt(2) + 1)) - sqrt(3)*2^(5/6)*(x^3 - x^2)^(1/3))*sin(2/3*arctan(sqrt(2) + 1)) - sqrt(3)*x - (sqrt(3)*2^(5/6)*x*sin(2/3*arctan(sqrt(2) + 1)) + 2^(5/6)*x*cos(2/3*arctan(sqrt(2) + 1)))*sqrt(-(sqrt(3)*2^(1/6)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(2) + 1)) + 2^(1/6)*(x^3 - x^2)^(1/3)*x*sin(2/3*arctan(sqrt(2) + 1)) - 2^(1/3)*x^2 - (x^3 - x^2)^(2/3))/x^2))/(4*x*cos(2/3*arctan(sqrt(2) + 1))^2 - 3*x)) + 1/12*(sqrt(3)*2^(1/6)*sin(2/3*arctan(sqrt(2) + 1)) - 2^(1/6)*cos(2/3*arctan(sqrt(2) + 1)))*log(-4*(sqrt(3)*2^(1/6)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(2) + 1)) + 2^(1/6)*(x^3 - x^2)^(1/3)*x*sin(2/3*arctan(sqrt(2) + 1)) - 2^(1/3)*x^2 - (x^3 - x^2)^(2/3))/x^2) - 1/12*(sqrt(3)*2^(1/6)*sin(2/3*arctan(sqrt(2) + 1)) + 2^(1/6)*cos(2/3*arctan(sqrt(2) + 1)))*log(4*(sqrt(3)*2^(1/6)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(2) + 1)) - 2^(1/6)*(x^3 - x^2)^(1/3)*x*sin(2/3*arctan(sqrt(2) + 1)) + 2^(1/3)*x^2 + (x^3 - x^2)^(2/3))/x^2) + 1/24*(sqrt(3)*2^(2/3)*(4*sqrt(3) + 8)^(1/6)*sin(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) - 2^(2/3)*(4*sqrt(3) + 8)^(1/6)*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))))*log(16*(2*2^(1/3)*x^2*(4*sqrt(3) + 8)^(1/3) - (sqrt(3)*2^(2/3)*(x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(1/3)*(2*sqrt(3)*2^(2/3)*x - 3*2^(2/3)*x)*sqrt(4*sqrt(3) + 7))*(4*sqrt(3) + 8)^(1/6)*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) + (3*2^(2/3)*(x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2*2^(2/3)*x)*sqrt(4*sqrt(3) + 7))*(4*sqrt(3) + 8)^(1/6)*sin(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) + 4*(x^3 - x^2)^(2/3))/x^2) - 1/24*(sqrt(3)*2^(2/3)*(4*sqrt(3) + 8)^(1/6)*sin(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) + 2^(2/3)*(4*sqrt(3) + 8)^(1/6)*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))))*log(16*(2*2^(1/3)*x^2*(4*sqrt(3) + 8)^(1/3) - (sqrt(3)*2^(2/3)*(x^3 - x^2)^(1/3)*x - (x^3 - x^2)^(1/3)*(2*sqrt(3)*2^(2/3)*x - 3*2^(2/3)*x)*sqrt(4*sqrt(3) + 7))*(4*sqrt(3) + 8)^(1/6)*cos(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) - (3*2^(2/3)*(x^3 - x^2)^(1/3)*x - (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2*2^(2/3)*x)*sqrt(4*sqrt(3) + 7))*(4*sqrt(3) + 8)^(1/6)*sin(2/3*arctan(2*sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7)*sqrt(sqrt(3) + 2) - sqrt(4*sqrt(3) + 7)*(4*sqrt(3) - 7))) + 4*(x^3 - x^2)^(2/3))/x^2) + 1/24*(sqrt(3)*2^(2/3)*(-4*sqrt(3) + 8)^(1/6)*sin(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) - 2^(2/3)*(-4*sqrt(3) + 8)^(1/6)*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))))*log(16*(2*2^(1/3)*x^2*(-4*sqrt(3) + 8)^(1/3) + (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + (2*sqrt(3)*2^(2/3)*x + 3*2^(2/3)*x)*sqrt(-4*sqrt(3) + 7))*(-4*sqrt(3) + 8)^(1/6)*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) - (x^3 - x^2)^(1/3)*(3*2^(2/3)*x - (sqrt(3)*2^(2/3)*x + 2*2^(2/3)*x)*sqrt(-4*sqrt(3) + 7))*(-4*sqrt(3) + 8)^(1/6)*sin(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) + 4*(x^3 - x^2)^(2/3))/x^2) - 1/24*(sqrt(3)*2^(2/3)*(-4*sqrt(3) + 8)^(1/6)*sin(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) + 2^(2/3)*(-4*sqrt(3) + 8)^(1/6)*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))))*log(16*(2*2^(1/3)*x^2*(-4*sqrt(3) + 8)^(1/3) + (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - (2*sqrt(3)*2^(2/3)*x + 3*2^(2/3)*x)*sqrt(-4*sqrt(3) + 7))*(-4*sqrt(3) + 8)^(1/6)*cos(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) + (x^3 - x^2)^(1/3)*(3*2^(2/3)*x + (sqrt(3)*2^(2/3)*x + 2*2^(2/3)*x)*sqrt(-4*sqrt(3) + 7))*(-4*sqrt(3) + 8)^(1/6)*sin(2/3*arctan((4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 8)*sqrt(-4*sqrt(3) + 7) - (4*sqrt(3) + 7)*sqrt(-4*sqrt(3) + 7))) + 4*(x^3 - x^2)^(2/3))/x^2)","B",0
2520,-1,0,0,0.000000," ","integrate((2*a*x^8-2*c*x^4+b)/(a*x^4-b)^(1/4)/(2*a*x^8-c*x^4-2*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2521,-1,0,0,0.000000," ","integrate((2*a*x^8-2*c*x^4+b)/(a*x^4-b)^(1/4)/(2*a*x^8-c*x^4-2*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2522,1,895,0,0.855977," ","integrate(1/x^3/(x^3+1)/(x^3-x^2)^(1/3),x, algorithm=""fricas"")","\frac{40 \, x^{4} \cos\left(\frac{1}{9} \, \pi\right) \log\left(\frac{16 \, {\left(x^{2} - {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) + 2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - 160 \, x^{4} \arctan\left(\frac{8 \, {\left(2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{3} - x \cos\left(\frac{1}{9} \, \pi\right)\right)} \sin\left(\frac{1}{9} \, \pi\right) + \sqrt{3} x + 2 \, {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right)^{2} + 2 \, x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3} x\right)} \sqrt{\frac{x^{2} - {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) + 2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} \cos\left(\frac{1}{9} \, \pi\right)^{2} + 2 \, \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3}\right)}}{16 \, x \cos\left(\frac{1}{9} \, \pi\right)^{4} - 16 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} + 3 \, x}\right) \sin\left(\frac{1}{9} \, \pi\right) + 20 \, \sqrt{6} 2^{\frac{1}{6}} x^{4} \arctan\left(\frac{2^{\frac{1}{6}} {\left(\sqrt{6} 2^{\frac{1}{3}} x + 2 \, \sqrt{6} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\right)}}{6 \, x}\right) + 20 \cdot 2^{\frac{2}{3}} x^{4} \log\left(-\frac{2^{\frac{1}{3}} x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) - 10 \cdot 2^{\frac{2}{3}} x^{4} \log\left(\frac{2^{\frac{2}{3}} x^{2} + 2^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) + 80 \, {\left(\sqrt{3} x^{4} \cos\left(\frac{1}{9} \, \pi\right) + x^{4} \sin\left(\frac{1}{9} \, \pi\right)\right)} \arctan\left(\frac{8 \, {\left(2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{3} - x \cos\left(\frac{1}{9} \, \pi\right)\right)} \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3} x - 2 \, {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right)^{2} - 2 \, x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3} x\right)} \sqrt{\frac{x^{2} + {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - 2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} + x\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} \cos\left(\frac{1}{9} \, \pi\right)^{2} - 2 \, \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3}\right)}}{16 \, x \cos\left(\frac{1}{9} \, \pi\right)^{4} - 16 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} + 3 \, x}\right) - 80 \, {\left(\sqrt{3} x^{4} \cos\left(\frac{1}{9} \, \pi\right) - x^{4} \sin\left(\frac{1}{9} \, \pi\right)\right)} \arctan\left(-\frac{2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x \sqrt{\frac{x^{2} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x\right)} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - x + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{2 \, x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right)}\right) + 20 \, {\left(\sqrt{3} x^{4} \sin\left(\frac{1}{9} \, \pi\right) - x^{4} \cos\left(\frac{1}{9} \, \pi\right)\right)} \log\left(\frac{64 \, {\left(x^{2} + {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - 2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} + x\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - 20 \, {\left(\sqrt{3} x^{4} \sin\left(\frac{1}{9} \, \pi\right) + x^{4} \cos\left(\frac{1}{9} \, \pi\right)\right)} \log\left(\frac{64 \, {\left(x^{2} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x\right)} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + 9 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}} {\left(9 \, x^{2} + 6 \, x + 5\right)}}{120 \, x^{4}}"," ",0,"1/120*(40*x^4*cos(1/9*pi)*log(16*(x^2 - (2*sqrt(3)*x*cos(1/9*pi)*sin(1/9*pi) + 2*x*cos(1/9*pi)^2 - x)*(x^3 - x^2)^(1/3) + (x^3 - x^2)^(2/3))/x^2) - 160*x^4*arctan((8*(2*x*cos(1/9*pi)^3 - x*cos(1/9*pi))*sin(1/9*pi) + sqrt(3)*x + 2*(2*sqrt(3)*x*cos(1/9*pi)^2 + 2*x*cos(1/9*pi)*sin(1/9*pi) - sqrt(3)*x)*sqrt((x^2 - (2*sqrt(3)*x*cos(1/9*pi)*sin(1/9*pi) + 2*x*cos(1/9*pi)^2 - x)*(x^3 - x^2)^(1/3) + (x^3 - x^2)^(2/3))/x^2) - 2*(x^3 - x^2)^(1/3)*(2*sqrt(3)*cos(1/9*pi)^2 + 2*cos(1/9*pi)*sin(1/9*pi) - sqrt(3)))/(16*x*cos(1/9*pi)^4 - 16*x*cos(1/9*pi)^2 + 3*x))*sin(1/9*pi) + 20*sqrt(6)*2^(1/6)*x^4*arctan(1/6*2^(1/6)*(sqrt(6)*2^(1/3)*x + 2*sqrt(6)*(x^3 - x^2)^(1/3))/x) + 20*2^(2/3)*x^4*log(-(2^(1/3)*x - (x^3 - x^2)^(1/3))/x) - 10*2^(2/3)*x^4*log((2^(2/3)*x^2 + 2^(1/3)*(x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(2/3))/x^2) + 80*(sqrt(3)*x^4*cos(1/9*pi) + x^4*sin(1/9*pi))*arctan((8*(2*x*cos(1/9*pi)^3 - x*cos(1/9*pi))*sin(1/9*pi) - sqrt(3)*x - 2*(2*sqrt(3)*x*cos(1/9*pi)^2 - 2*x*cos(1/9*pi)*sin(1/9*pi) - sqrt(3)*x)*sqrt((x^2 + (2*sqrt(3)*x*cos(1/9*pi)*sin(1/9*pi) - 2*x*cos(1/9*pi)^2 + x)*(x^3 - x^2)^(1/3) + (x^3 - x^2)^(2/3))/x^2) + 2*(x^3 - x^2)^(1/3)*(2*sqrt(3)*cos(1/9*pi)^2 - 2*cos(1/9*pi)*sin(1/9*pi) - sqrt(3)))/(16*x*cos(1/9*pi)^4 - 16*x*cos(1/9*pi)^2 + 3*x)) - 80*(sqrt(3)*x^4*cos(1/9*pi) - x^4*sin(1/9*pi))*arctan(-1/2*(2*x*cos(1/9*pi)^2 - x*sqrt((x^2 + 2*(x^3 - x^2)^(1/3)*(2*x*cos(1/9*pi)^2 - x) + (x^3 - x^2)^(2/3))/x^2) - x + (x^3 - x^2)^(1/3))/(x*cos(1/9*pi)*sin(1/9*pi))) + 20*(sqrt(3)*x^4*sin(1/9*pi) - x^4*cos(1/9*pi))*log(64*(x^2 + (2*sqrt(3)*x*cos(1/9*pi)*sin(1/9*pi) - 2*x*cos(1/9*pi)^2 + x)*(x^3 - x^2)^(1/3) + (x^3 - x^2)^(2/3))/x^2) - 20*(sqrt(3)*x^4*sin(1/9*pi) + x^4*cos(1/9*pi))*log(64*(x^2 + 2*(x^3 - x^2)^(1/3)*(2*x*cos(1/9*pi)^2 - x) + (x^3 - x^2)^(2/3))/x^2) + 9*(x^3 - x^2)^(2/3)*(9*x^2 + 6*x + 5))/x^4","B",0
2523,1,3011,0,0.922891," ","integrate((x^2-1)*(x^4+x^3)^(1/4)/(x^4+x^2+1),x, algorithm=""fricas"")","-\frac{1}{72} \cdot 12^{\frac{3}{4}} 4^{\frac{1}{4}} 3^{\frac{7}{8}} \sqrt{12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 24 \, \sqrt{3} + 48} \sqrt{\sqrt{3} + 2} \arctan\left(\frac{4^{\frac{3}{4}} 3^{\frac{3}{8}} \sqrt{2} \sqrt{12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 24 \, \sqrt{3} + 48} {\left(12^{\frac{1}{4}} 3^{\frac{3}{4}} x \sqrt{\sqrt{3} + 2} - \sqrt{3} {\left(\sqrt{3} \sqrt{2} x + 3 \, \sqrt{2} x\right)}\right)} \sqrt{\frac{72 \cdot 3^{\frac{1}{4}} x^{2} + 4^{\frac{1}{4}} 3^{\frac{1}{8}} {\left(12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 3 \, x\right)} \sqrt{\sqrt{3} + 2} + 6 \, \sqrt{3} \sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 24 \, \sqrt{3} + 48} + 72 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 72 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} \sqrt{2} x \sqrt{\sqrt{3} + 2} + 12 \cdot 4^{\frac{3}{4}} 3^{\frac{3}{8}} \sqrt{12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 24 \, \sqrt{3} + 48} {\left(\sqrt{3} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} + 3 \, \sqrt{2}\right)} - 12^{\frac{1}{4}} 3^{\frac{3}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2}\right)} + 432 \, \sqrt{3} x + 864 \, x}{432 \, x}\right) - \frac{1}{72} \cdot 12^{\frac{3}{4}} 4^{\frac{1}{4}} 3^{\frac{7}{8}} \sqrt{12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 24 \, \sqrt{3} + 48} \sqrt{\sqrt{3} + 2} \arctan\left(\frac{4^{\frac{3}{4}} 3^{\frac{3}{8}} \sqrt{2} \sqrt{12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 24 \, \sqrt{3} + 48} {\left(12^{\frac{1}{4}} 3^{\frac{3}{4}} x \sqrt{\sqrt{3} + 2} - \sqrt{3} {\left(\sqrt{3} \sqrt{2} x + 3 \, \sqrt{2} x\right)}\right)} \sqrt{\frac{72 \cdot 3^{\frac{1}{4}} x^{2} - 4^{\frac{1}{4}} 3^{\frac{1}{8}} {\left(12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 3 \, x\right)} \sqrt{\sqrt{3} + 2} + 6 \, \sqrt{3} \sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 24 \, \sqrt{3} + 48} + 72 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} + 72 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} \sqrt{2} x \sqrt{\sqrt{3} + 2} + 12 \cdot 4^{\frac{3}{4}} 3^{\frac{3}{8}} \sqrt{12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 24 \, \sqrt{3} + 48} {\left(\sqrt{3} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} + 3 \, \sqrt{2}\right)} - 12^{\frac{1}{4}} 3^{\frac{3}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2}\right)} - 432 \, \sqrt{3} x - 864 \, x}{432 \, x}\right) - \frac{1}{144} \cdot 12^{\frac{3}{4}} 4^{\frac{1}{4}} 3^{\frac{7}{8}} \sqrt{-4 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 96 \, \sqrt{3} + 192} \sqrt{\sqrt{3} + 2} \arctan\left(\frac{4^{\frac{3}{4}} 3^{\frac{3}{8}} \sqrt{-4 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 96 \, \sqrt{3} + 192} {\left(12^{\frac{1}{4}} 3^{\frac{3}{4}} x \sqrt{\sqrt{3} + 2} + \sqrt{3} {\left(\sqrt{3} \sqrt{2} x + 3 \, \sqrt{2} x\right)}\right)} \sqrt{\frac{144 \cdot 3^{\frac{1}{4}} x^{2} + 4^{\frac{1}{4}} 3^{\frac{1}{8}} {\left(12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 3 \, x\right)} \sqrt{\sqrt{3} + 2} - 6 \, \sqrt{3} \sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{-4 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 96 \, \sqrt{3} + 192} + 144 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} + 144 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} \sqrt{2} x \sqrt{\sqrt{3} + 2} - 12 \cdot 4^{\frac{3}{4}} 3^{\frac{3}{8}} \sqrt{-4 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 96 \, \sqrt{3} + 192} {\left(\sqrt{3} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} + 3 \, \sqrt{2}\right)} + 12^{\frac{1}{4}} 3^{\frac{3}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2}\right)} + 864 \, \sqrt{3} x + 1728 \, x}{864 \, x}\right) - \frac{1}{144} \cdot 12^{\frac{3}{4}} 4^{\frac{1}{4}} 3^{\frac{7}{8}} \sqrt{-4 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 96 \, \sqrt{3} + 192} \sqrt{\sqrt{3} + 2} \arctan\left(\frac{4^{\frac{3}{4}} 3^{\frac{3}{8}} \sqrt{-4 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 96 \, \sqrt{3} + 192} {\left(12^{\frac{1}{4}} 3^{\frac{3}{4}} x \sqrt{\sqrt{3} + 2} + \sqrt{3} {\left(\sqrt{3} \sqrt{2} x + 3 \, \sqrt{2} x\right)}\right)} \sqrt{\frac{144 \cdot 3^{\frac{1}{4}} x^{2} - 4^{\frac{1}{4}} 3^{\frac{1}{8}} {\left(12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 3 \, x\right)} \sqrt{\sqrt{3} + 2} - 6 \, \sqrt{3} \sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{-4 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 96 \, \sqrt{3} + 192} + 144 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 144 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} \sqrt{2} x \sqrt{\sqrt{3} + 2} - 12 \cdot 4^{\frac{3}{4}} 3^{\frac{3}{8}} \sqrt{-4 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 96 \, \sqrt{3} + 192} {\left(\sqrt{3} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} + 3 \, \sqrt{2}\right)} + 12^{\frac{1}{4}} 3^{\frac{3}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2}\right)} - 864 \, \sqrt{3} x - 1728 \, x}{864 \, x}\right) - \frac{1}{576} \cdot 4^{\frac{1}{4}} 3^{\frac{1}{8}} \sqrt{-4 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 96 \, \sqrt{3} + 192} {\left(12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(2 \, \sqrt{3} - 3\right)} \sqrt{\sqrt{3} + 2} - 12 \, \sqrt{3} \sqrt{2}\right)} \log\left(\frac{144 \cdot 3^{\frac{1}{4}} x^{2} + 4^{\frac{1}{4}} 3^{\frac{1}{8}} {\left(12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 3 \, x\right)} \sqrt{\sqrt{3} + 2} - 6 \, \sqrt{3} \sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{-4 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 96 \, \sqrt{3} + 192} + 144 \, \sqrt{x^{4} + x^{3}}}{9 \, x^{2}}\right) + \frac{1}{576} \cdot 4^{\frac{1}{4}} 3^{\frac{1}{8}} \sqrt{-4 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 96 \, \sqrt{3} + 192} {\left(12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(2 \, \sqrt{3} - 3\right)} \sqrt{\sqrt{3} + 2} - 12 \, \sqrt{3} \sqrt{2}\right)} \log\left(\frac{144 \cdot 3^{\frac{1}{4}} x^{2} - 4^{\frac{1}{4}} 3^{\frac{1}{8}} {\left(12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 3 \, x\right)} \sqrt{\sqrt{3} + 2} - 6 \, \sqrt{3} \sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{-4 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 96 \, \sqrt{3} + 192} + 144 \, \sqrt{x^{4} + x^{3}}}{9 \, x^{2}}\right) - \frac{1}{288} \cdot 4^{\frac{1}{4}} 3^{\frac{1}{8}} \sqrt{12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 24 \, \sqrt{3} + 48} {\left(12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(2 \, \sqrt{3} - 3\right)} \sqrt{\sqrt{3} + 2} + 12 \, \sqrt{3} \sqrt{2}\right)} \log\left(\frac{2 \, {\left(72 \cdot 3^{\frac{1}{4}} x^{2} + 4^{\frac{1}{4}} 3^{\frac{1}{8}} {\left(12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 3 \, x\right)} \sqrt{\sqrt{3} + 2} + 6 \, \sqrt{3} \sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 24 \, \sqrt{3} + 48} + 72 \, \sqrt{x^{4} + x^{3}}\right)}}{9 \, x^{2}}\right) + \frac{1}{288} \cdot 4^{\frac{1}{4}} 3^{\frac{1}{8}} \sqrt{12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 24 \, \sqrt{3} + 48} {\left(12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(2 \, \sqrt{3} - 3\right)} \sqrt{\sqrt{3} + 2} + 12 \, \sqrt{3} \sqrt{2}\right)} \log\left(\frac{2 \, {\left(72 \cdot 3^{\frac{1}{4}} x^{2} - 4^{\frac{1}{4}} 3^{\frac{1}{8}} {\left(12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 3 \, x\right)} \sqrt{\sqrt{3} + 2} + 6 \, \sqrt{3} \sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 24 \, \sqrt{3} + 48} + 72 \, \sqrt{x^{4} + x^{3}}\right)}}{9 \, x^{2}}\right) - \frac{1}{8} \, {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} \log\left(\frac{8 \, {\left(2 \, x^{2} + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} + x^{3}}\right)}}{x^{2}}\right) + \frac{1}{8} \, {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} \log\left(\frac{8 \, {\left(2 \, x^{2} - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} + x^{3}}\right)}}{x^{2}}\right) + \frac{1}{4} \, \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} \log\left(\frac{16 \, {\left(x^{2} + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} + x^{3}}\right)}}{x^{2}}\right) - \frac{1}{4} \, \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} \log\left(\frac{16 \, {\left(x^{2} - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} + x^{3}}\right)}}{x^{2}}\right) + \frac{1}{2} \, \sqrt{-4 \, \sqrt{3} + 8} \arctan\left(\frac{\sqrt{2} x \sqrt{-4 \, \sqrt{3} + 8} \sqrt{\frac{2 \, x^{2} + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} + 2 \, \sqrt{3} x - 4 \, x - 2 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} \sqrt{-4 \, \sqrt{3} + 8}}{2 \, x}\right) + \frac{1}{2} \, \sqrt{-4 \, \sqrt{3} + 8} \arctan\left(\frac{\sqrt{2} x \sqrt{-4 \, \sqrt{3} + 8} \sqrt{\frac{2 \, x^{2} - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 2 \, \sqrt{3} x + 4 \, x - 2 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} \sqrt{-4 \, \sqrt{3} + 8}}{2 \, x}\right) + \sqrt{\sqrt{3} + 2} \arctan\left(\frac{2 \, x \sqrt{\sqrt{3} + 2} \sqrt{\frac{x^{2} + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} + x^{3}}}{x^{2}}} - \sqrt{3} x - 2 \, x - 2 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2}}{x}\right) + \sqrt{\sqrt{3} + 2} \arctan\left(\frac{2 \, x \sqrt{\sqrt{3} + 2} \sqrt{\frac{x^{2} - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} + x^{3}}}{x^{2}}} + \sqrt{3} x + 2 \, x - 2 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2}}{x}\right) + 2 \, \arctan\left(\frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \log\left(\frac{x + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \log\left(-\frac{x - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-1/72*12^(3/4)*4^(1/4)*3^(7/8)*sqrt(12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 24*sqrt(3) + 48)*sqrt(sqrt(3) + 2)*arctan(1/432*(4^(3/4)*3^(3/8)*sqrt(2)*sqrt(12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 24*sqrt(3) + 48)*(12^(1/4)*3^(3/4)*x*sqrt(sqrt(3) + 2) - sqrt(3)*(sqrt(3)*sqrt(2)*x + 3*sqrt(2)*x))*sqrt((72*3^(1/4)*x^2 + 4^(1/4)*3^(1/8)*(12^(3/4)*3^(1/4)*(x^4 + x^3)^(1/4)*(sqrt(3)*x - 3*x)*sqrt(sqrt(3) + 2) + 6*sqrt(3)*sqrt(2)*(x^4 + x^3)^(1/4)*x)*sqrt(12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 24*sqrt(3) + 48) + 72*sqrt(x^4 + x^3))/x^2) - 72*12^(3/4)*3^(1/4)*sqrt(2)*x*sqrt(sqrt(3) + 2) + 12*4^(3/4)*3^(3/8)*sqrt(12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 24*sqrt(3) + 48)*(sqrt(3)*(x^4 + x^3)^(1/4)*(sqrt(3)*sqrt(2) + 3*sqrt(2)) - 12^(1/4)*3^(3/4)*(x^4 + x^3)^(1/4)*sqrt(sqrt(3) + 2)) + 432*sqrt(3)*x + 864*x)/x) - 1/72*12^(3/4)*4^(1/4)*3^(7/8)*sqrt(12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 24*sqrt(3) + 48)*sqrt(sqrt(3) + 2)*arctan(1/432*(4^(3/4)*3^(3/8)*sqrt(2)*sqrt(12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 24*sqrt(3) + 48)*(12^(1/4)*3^(3/4)*x*sqrt(sqrt(3) + 2) - sqrt(3)*(sqrt(3)*sqrt(2)*x + 3*sqrt(2)*x))*sqrt((72*3^(1/4)*x^2 - 4^(1/4)*3^(1/8)*(12^(3/4)*3^(1/4)*(x^4 + x^3)^(1/4)*(sqrt(3)*x - 3*x)*sqrt(sqrt(3) + 2) + 6*sqrt(3)*sqrt(2)*(x^4 + x^3)^(1/4)*x)*sqrt(12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 24*sqrt(3) + 48) + 72*sqrt(x^4 + x^3))/x^2) + 72*12^(3/4)*3^(1/4)*sqrt(2)*x*sqrt(sqrt(3) + 2) + 12*4^(3/4)*3^(3/8)*sqrt(12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 24*sqrt(3) + 48)*(sqrt(3)*(x^4 + x^3)^(1/4)*(sqrt(3)*sqrt(2) + 3*sqrt(2)) - 12^(1/4)*3^(3/4)*(x^4 + x^3)^(1/4)*sqrt(sqrt(3) + 2)) - 432*sqrt(3)*x - 864*x)/x) - 1/144*12^(3/4)*4^(1/4)*3^(7/8)*sqrt(-4*12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 96*sqrt(3) + 192)*sqrt(sqrt(3) + 2)*arctan(1/864*(4^(3/4)*3^(3/8)*sqrt(-4*12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 96*sqrt(3) + 192)*(12^(1/4)*3^(3/4)*x*sqrt(sqrt(3) + 2) + sqrt(3)*(sqrt(3)*sqrt(2)*x + 3*sqrt(2)*x))*sqrt((144*3^(1/4)*x^2 + 4^(1/4)*3^(1/8)*(12^(3/4)*3^(1/4)*(x^4 + x^3)^(1/4)*(sqrt(3)*x - 3*x)*sqrt(sqrt(3) + 2) - 6*sqrt(3)*sqrt(2)*(x^4 + x^3)^(1/4)*x)*sqrt(-4*12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 96*sqrt(3) + 192) + 144*sqrt(x^4 + x^3))/x^2) + 144*12^(3/4)*3^(1/4)*sqrt(2)*x*sqrt(sqrt(3) + 2) - 12*4^(3/4)*3^(3/8)*sqrt(-4*12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 96*sqrt(3) + 192)*(sqrt(3)*(x^4 + x^3)^(1/4)*(sqrt(3)*sqrt(2) + 3*sqrt(2)) + 12^(1/4)*3^(3/4)*(x^4 + x^3)^(1/4)*sqrt(sqrt(3) + 2)) + 864*sqrt(3)*x + 1728*x)/x) - 1/144*12^(3/4)*4^(1/4)*3^(7/8)*sqrt(-4*12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 96*sqrt(3) + 192)*sqrt(sqrt(3) + 2)*arctan(1/864*(4^(3/4)*3^(3/8)*sqrt(-4*12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 96*sqrt(3) + 192)*(12^(1/4)*3^(3/4)*x*sqrt(sqrt(3) + 2) + sqrt(3)*(sqrt(3)*sqrt(2)*x + 3*sqrt(2)*x))*sqrt((144*3^(1/4)*x^2 - 4^(1/4)*3^(1/8)*(12^(3/4)*3^(1/4)*(x^4 + x^3)^(1/4)*(sqrt(3)*x - 3*x)*sqrt(sqrt(3) + 2) - 6*sqrt(3)*sqrt(2)*(x^4 + x^3)^(1/4)*x)*sqrt(-4*12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 96*sqrt(3) + 192) + 144*sqrt(x^4 + x^3))/x^2) - 144*12^(3/4)*3^(1/4)*sqrt(2)*x*sqrt(sqrt(3) + 2) - 12*4^(3/4)*3^(3/8)*sqrt(-4*12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 96*sqrt(3) + 192)*(sqrt(3)*(x^4 + x^3)^(1/4)*(sqrt(3)*sqrt(2) + 3*sqrt(2)) + 12^(1/4)*3^(3/4)*(x^4 + x^3)^(1/4)*sqrt(sqrt(3) + 2)) - 864*sqrt(3)*x - 1728*x)/x) - 1/576*4^(1/4)*3^(1/8)*sqrt(-4*12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 96*sqrt(3) + 192)*(12^(3/4)*3^(1/4)*(2*sqrt(3) - 3)*sqrt(sqrt(3) + 2) - 12*sqrt(3)*sqrt(2))*log(1/9*(144*3^(1/4)*x^2 + 4^(1/4)*3^(1/8)*(12^(3/4)*3^(1/4)*(x^4 + x^3)^(1/4)*(sqrt(3)*x - 3*x)*sqrt(sqrt(3) + 2) - 6*sqrt(3)*sqrt(2)*(x^4 + x^3)^(1/4)*x)*sqrt(-4*12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 96*sqrt(3) + 192) + 144*sqrt(x^4 + x^3))/x^2) + 1/576*4^(1/4)*3^(1/8)*sqrt(-4*12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 96*sqrt(3) + 192)*(12^(3/4)*3^(1/4)*(2*sqrt(3) - 3)*sqrt(sqrt(3) + 2) - 12*sqrt(3)*sqrt(2))*log(1/9*(144*3^(1/4)*x^2 - 4^(1/4)*3^(1/8)*(12^(3/4)*3^(1/4)*(x^4 + x^3)^(1/4)*(sqrt(3)*x - 3*x)*sqrt(sqrt(3) + 2) - 6*sqrt(3)*sqrt(2)*(x^4 + x^3)^(1/4)*x)*sqrt(-4*12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 96*sqrt(3) + 192) + 144*sqrt(x^4 + x^3))/x^2) - 1/288*4^(1/4)*3^(1/8)*sqrt(12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 24*sqrt(3) + 48)*(12^(3/4)*3^(1/4)*(2*sqrt(3) - 3)*sqrt(sqrt(3) + 2) + 12*sqrt(3)*sqrt(2))*log(2/9*(72*3^(1/4)*x^2 + 4^(1/4)*3^(1/8)*(12^(3/4)*3^(1/4)*(x^4 + x^3)^(1/4)*(sqrt(3)*x - 3*x)*sqrt(sqrt(3) + 2) + 6*sqrt(3)*sqrt(2)*(x^4 + x^3)^(1/4)*x)*sqrt(12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 24*sqrt(3) + 48) + 72*sqrt(x^4 + x^3))/x^2) + 1/288*4^(1/4)*3^(1/8)*sqrt(12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 24*sqrt(3) + 48)*(12^(3/4)*3^(1/4)*(2*sqrt(3) - 3)*sqrt(sqrt(3) + 2) + 12*sqrt(3)*sqrt(2))*log(2/9*(72*3^(1/4)*x^2 - 4^(1/4)*3^(1/8)*(12^(3/4)*3^(1/4)*(x^4 + x^3)^(1/4)*(sqrt(3)*x - 3*x)*sqrt(sqrt(3) + 2) + 6*sqrt(3)*sqrt(2)*(x^4 + x^3)^(1/4)*x)*sqrt(12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 24*sqrt(3) + 48) + 72*sqrt(x^4 + x^3))/x^2) - 1/8*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8)*log(8*(2*x^2 + (x^4 + x^3)^(1/4)*x*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 + x^3))/x^2) + 1/8*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8)*log(8*(2*x^2 - (x^4 + x^3)^(1/4)*x*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 + x^3))/x^2) + 1/4*sqrt(sqrt(3) + 2)*(sqrt(3) - 2)*log(16*(x^2 + (x^4 + x^3)^(1/4)*x*sqrt(sqrt(3) + 2) + sqrt(x^4 + x^3))/x^2) - 1/4*sqrt(sqrt(3) + 2)*(sqrt(3) - 2)*log(16*(x^2 - (x^4 + x^3)^(1/4)*x*sqrt(sqrt(3) + 2) + sqrt(x^4 + x^3))/x^2) + 1/2*sqrt(-4*sqrt(3) + 8)*arctan(1/2*(sqrt(2)*x*sqrt(-4*sqrt(3) + 8)*sqrt((2*x^2 + (x^4 + x^3)^(1/4)*x*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 + x^3))/x^2) + 2*sqrt(3)*x - 4*x - 2*(x^4 + x^3)^(1/4)*sqrt(-4*sqrt(3) + 8))/x) + 1/2*sqrt(-4*sqrt(3) + 8)*arctan(1/2*(sqrt(2)*x*sqrt(-4*sqrt(3) + 8)*sqrt((2*x^2 - (x^4 + x^3)^(1/4)*x*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 + x^3))/x^2) - 2*sqrt(3)*x + 4*x - 2*(x^4 + x^3)^(1/4)*sqrt(-4*sqrt(3) + 8))/x) + sqrt(sqrt(3) + 2)*arctan((2*x*sqrt(sqrt(3) + 2)*sqrt((x^2 + (x^4 + x^3)^(1/4)*x*sqrt(sqrt(3) + 2) + sqrt(x^4 + x^3))/x^2) - sqrt(3)*x - 2*x - 2*(x^4 + x^3)^(1/4)*sqrt(sqrt(3) + 2))/x) + sqrt(sqrt(3) + 2)*arctan((2*x*sqrt(sqrt(3) + 2)*sqrt((x^2 - (x^4 + x^3)^(1/4)*x*sqrt(sqrt(3) + 2) + sqrt(x^4 + x^3))/x^2) + sqrt(3)*x + 2*x - 2*(x^4 + x^3)^(1/4)*sqrt(sqrt(3) + 2))/x) + 2*arctan((x^4 + x^3)^(1/4)/x) + log((x + (x^4 + x^3)^(1/4))/x) - log(-(x - (x^4 + x^3)^(1/4))/x)","B",0
2524,1,3011,0,0.957415," ","integrate((x^2-1)*(x^4+x^3)^(1/4)/(x^4+x^2+1),x, algorithm=""fricas"")","-\frac{1}{72} \cdot 12^{\frac{3}{4}} 4^{\frac{1}{4}} 3^{\frac{7}{8}} \sqrt{12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 24 \, \sqrt{3} + 48} \sqrt{\sqrt{3} + 2} \arctan\left(\frac{4^{\frac{3}{4}} 3^{\frac{3}{8}} \sqrt{2} \sqrt{12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 24 \, \sqrt{3} + 48} {\left(12^{\frac{1}{4}} 3^{\frac{3}{4}} x \sqrt{\sqrt{3} + 2} - \sqrt{3} {\left(\sqrt{3} \sqrt{2} x + 3 \, \sqrt{2} x\right)}\right)} \sqrt{\frac{72 \cdot 3^{\frac{1}{4}} x^{2} + 4^{\frac{1}{4}} 3^{\frac{1}{8}} {\left(12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 3 \, x\right)} \sqrt{\sqrt{3} + 2} + 6 \, \sqrt{3} \sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 24 \, \sqrt{3} + 48} + 72 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 72 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} \sqrt{2} x \sqrt{\sqrt{3} + 2} + 12 \cdot 4^{\frac{3}{4}} 3^{\frac{3}{8}} \sqrt{12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 24 \, \sqrt{3} + 48} {\left(\sqrt{3} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} + 3 \, \sqrt{2}\right)} - 12^{\frac{1}{4}} 3^{\frac{3}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2}\right)} + 432 \, \sqrt{3} x + 864 \, x}{432 \, x}\right) - \frac{1}{72} \cdot 12^{\frac{3}{4}} 4^{\frac{1}{4}} 3^{\frac{7}{8}} \sqrt{12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 24 \, \sqrt{3} + 48} \sqrt{\sqrt{3} + 2} \arctan\left(\frac{4^{\frac{3}{4}} 3^{\frac{3}{8}} \sqrt{2} \sqrt{12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 24 \, \sqrt{3} + 48} {\left(12^{\frac{1}{4}} 3^{\frac{3}{4}} x \sqrt{\sqrt{3} + 2} - \sqrt{3} {\left(\sqrt{3} \sqrt{2} x + 3 \, \sqrt{2} x\right)}\right)} \sqrt{\frac{72 \cdot 3^{\frac{1}{4}} x^{2} - 4^{\frac{1}{4}} 3^{\frac{1}{8}} {\left(12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 3 \, x\right)} \sqrt{\sqrt{3} + 2} + 6 \, \sqrt{3} \sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 24 \, \sqrt{3} + 48} + 72 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} + 72 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} \sqrt{2} x \sqrt{\sqrt{3} + 2} + 12 \cdot 4^{\frac{3}{4}} 3^{\frac{3}{8}} \sqrt{12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 24 \, \sqrt{3} + 48} {\left(\sqrt{3} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} + 3 \, \sqrt{2}\right)} - 12^{\frac{1}{4}} 3^{\frac{3}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2}\right)} - 432 \, \sqrt{3} x - 864 \, x}{432 \, x}\right) - \frac{1}{144} \cdot 12^{\frac{3}{4}} 4^{\frac{1}{4}} 3^{\frac{7}{8}} \sqrt{-4 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 96 \, \sqrt{3} + 192} \sqrt{\sqrt{3} + 2} \arctan\left(\frac{4^{\frac{3}{4}} 3^{\frac{3}{8}} \sqrt{-4 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 96 \, \sqrt{3} + 192} {\left(12^{\frac{1}{4}} 3^{\frac{3}{4}} x \sqrt{\sqrt{3} + 2} + \sqrt{3} {\left(\sqrt{3} \sqrt{2} x + 3 \, \sqrt{2} x\right)}\right)} \sqrt{\frac{144 \cdot 3^{\frac{1}{4}} x^{2} + 4^{\frac{1}{4}} 3^{\frac{1}{8}} {\left(12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 3 \, x\right)} \sqrt{\sqrt{3} + 2} - 6 \, \sqrt{3} \sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{-4 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 96 \, \sqrt{3} + 192} + 144 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} + 144 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} \sqrt{2} x \sqrt{\sqrt{3} + 2} - 12 \cdot 4^{\frac{3}{4}} 3^{\frac{3}{8}} \sqrt{-4 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 96 \, \sqrt{3} + 192} {\left(\sqrt{3} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} + 3 \, \sqrt{2}\right)} + 12^{\frac{1}{4}} 3^{\frac{3}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2}\right)} + 864 \, \sqrt{3} x + 1728 \, x}{864 \, x}\right) - \frac{1}{144} \cdot 12^{\frac{3}{4}} 4^{\frac{1}{4}} 3^{\frac{7}{8}} \sqrt{-4 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 96 \, \sqrt{3} + 192} \sqrt{\sqrt{3} + 2} \arctan\left(\frac{4^{\frac{3}{4}} 3^{\frac{3}{8}} \sqrt{-4 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 96 \, \sqrt{3} + 192} {\left(12^{\frac{1}{4}} 3^{\frac{3}{4}} x \sqrt{\sqrt{3} + 2} + \sqrt{3} {\left(\sqrt{3} \sqrt{2} x + 3 \, \sqrt{2} x\right)}\right)} \sqrt{\frac{144 \cdot 3^{\frac{1}{4}} x^{2} - 4^{\frac{1}{4}} 3^{\frac{1}{8}} {\left(12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 3 \, x\right)} \sqrt{\sqrt{3} + 2} - 6 \, \sqrt{3} \sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{-4 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 96 \, \sqrt{3} + 192} + 144 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 144 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} \sqrt{2} x \sqrt{\sqrt{3} + 2} - 12 \cdot 4^{\frac{3}{4}} 3^{\frac{3}{8}} \sqrt{-4 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 96 \, \sqrt{3} + 192} {\left(\sqrt{3} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} + 3 \, \sqrt{2}\right)} + 12^{\frac{1}{4}} 3^{\frac{3}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2}\right)} - 864 \, \sqrt{3} x - 1728 \, x}{864 \, x}\right) - \frac{1}{576} \cdot 4^{\frac{1}{4}} 3^{\frac{1}{8}} \sqrt{-4 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 96 \, \sqrt{3} + 192} {\left(12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(2 \, \sqrt{3} - 3\right)} \sqrt{\sqrt{3} + 2} - 12 \, \sqrt{3} \sqrt{2}\right)} \log\left(\frac{144 \cdot 3^{\frac{1}{4}} x^{2} + 4^{\frac{1}{4}} 3^{\frac{1}{8}} {\left(12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 3 \, x\right)} \sqrt{\sqrt{3} + 2} - 6 \, \sqrt{3} \sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{-4 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 96 \, \sqrt{3} + 192} + 144 \, \sqrt{x^{4} + x^{3}}}{9 \, x^{2}}\right) + \frac{1}{576} \cdot 4^{\frac{1}{4}} 3^{\frac{1}{8}} \sqrt{-4 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 96 \, \sqrt{3} + 192} {\left(12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(2 \, \sqrt{3} - 3\right)} \sqrt{\sqrt{3} + 2} - 12 \, \sqrt{3} \sqrt{2}\right)} \log\left(\frac{144 \cdot 3^{\frac{1}{4}} x^{2} - 4^{\frac{1}{4}} 3^{\frac{1}{8}} {\left(12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 3 \, x\right)} \sqrt{\sqrt{3} + 2} - 6 \, \sqrt{3} \sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{-4 \cdot 12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 96 \, \sqrt{3} + 192} + 144 \, \sqrt{x^{4} + x^{3}}}{9 \, x^{2}}\right) - \frac{1}{288} \cdot 4^{\frac{1}{4}} 3^{\frac{1}{8}} \sqrt{12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 24 \, \sqrt{3} + 48} {\left(12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(2 \, \sqrt{3} - 3\right)} \sqrt{\sqrt{3} + 2} + 12 \, \sqrt{3} \sqrt{2}\right)} \log\left(\frac{2 \, {\left(72 \cdot 3^{\frac{1}{4}} x^{2} + 4^{\frac{1}{4}} 3^{\frac{1}{8}} {\left(12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 3 \, x\right)} \sqrt{\sqrt{3} + 2} + 6 \, \sqrt{3} \sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 24 \, \sqrt{3} + 48} + 72 \, \sqrt{x^{4} + x^{3}}\right)}}{9 \, x^{2}}\right) + \frac{1}{288} \cdot 4^{\frac{1}{4}} 3^{\frac{1}{8}} \sqrt{12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 24 \, \sqrt{3} + 48} {\left(12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(2 \, \sqrt{3} - 3\right)} \sqrt{\sqrt{3} + 2} + 12 \, \sqrt{3} \sqrt{2}\right)} \log\left(\frac{2 \, {\left(72 \cdot 3^{\frac{1}{4}} x^{2} - 4^{\frac{1}{4}} 3^{\frac{1}{8}} {\left(12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(\sqrt{3} x - 3 \, x\right)} \sqrt{\sqrt{3} + 2} + 6 \, \sqrt{3} \sqrt{2} {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x\right)} \sqrt{12^{\frac{3}{4}} 3^{\frac{1}{4}} {\left(4 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{\sqrt{3} + 2} - 24 \, \sqrt{3} + 48} + 72 \, \sqrt{x^{4} + x^{3}}\right)}}{9 \, x^{2}}\right) - \frac{1}{8} \, {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} \log\left(\frac{8 \, {\left(2 \, x^{2} + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} + x^{3}}\right)}}{x^{2}}\right) + \frac{1}{8} \, {\left(\sqrt{3} + 2\right)} \sqrt{-4 \, \sqrt{3} + 8} \log\left(\frac{8 \, {\left(2 \, x^{2} - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} + x^{3}}\right)}}{x^{2}}\right) + \frac{1}{4} \, \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} \log\left(\frac{16 \, {\left(x^{2} + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} + x^{3}}\right)}}{x^{2}}\right) - \frac{1}{4} \, \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} \log\left(\frac{16 \, {\left(x^{2} - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} + x^{3}}\right)}}{x^{2}}\right) + \frac{1}{2} \, \sqrt{-4 \, \sqrt{3} + 8} \arctan\left(\frac{\sqrt{2} x \sqrt{-4 \, \sqrt{3} + 8} \sqrt{\frac{2 \, x^{2} + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} + 2 \, \sqrt{3} x - 4 \, x - 2 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} \sqrt{-4 \, \sqrt{3} + 8}}{2 \, x}\right) + \frac{1}{2} \, \sqrt{-4 \, \sqrt{3} + 8} \arctan\left(\frac{\sqrt{2} x \sqrt{-4 \, \sqrt{3} + 8} \sqrt{\frac{2 \, x^{2} - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x \sqrt{-4 \, \sqrt{3} + 8} + 2 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 2 \, \sqrt{3} x + 4 \, x - 2 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} \sqrt{-4 \, \sqrt{3} + 8}}{2 \, x}\right) + \sqrt{\sqrt{3} + 2} \arctan\left(\frac{2 \, x \sqrt{\sqrt{3} + 2} \sqrt{\frac{x^{2} + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} + x^{3}}}{x^{2}}} - \sqrt{3} x - 2 \, x - 2 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2}}{x}\right) + \sqrt{\sqrt{3} + 2} \arctan\left(\frac{2 \, x \sqrt{\sqrt{3} + 2} \sqrt{\frac{x^{2} - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x \sqrt{\sqrt{3} + 2} + \sqrt{x^{4} + x^{3}}}{x^{2}}} + \sqrt{3} x + 2 \, x - 2 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{3} + 2}}{x}\right) + 2 \, \arctan\left(\frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \log\left(\frac{x + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \log\left(-\frac{x - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-1/72*12^(3/4)*4^(1/4)*3^(7/8)*sqrt(12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 24*sqrt(3) + 48)*sqrt(sqrt(3) + 2)*arctan(1/432*(4^(3/4)*3^(3/8)*sqrt(2)*sqrt(12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 24*sqrt(3) + 48)*(12^(1/4)*3^(3/4)*x*sqrt(sqrt(3) + 2) - sqrt(3)*(sqrt(3)*sqrt(2)*x + 3*sqrt(2)*x))*sqrt((72*3^(1/4)*x^2 + 4^(1/4)*3^(1/8)*(12^(3/4)*3^(1/4)*(x^4 + x^3)^(1/4)*(sqrt(3)*x - 3*x)*sqrt(sqrt(3) + 2) + 6*sqrt(3)*sqrt(2)*(x^4 + x^3)^(1/4)*x)*sqrt(12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 24*sqrt(3) + 48) + 72*sqrt(x^4 + x^3))/x^2) - 72*12^(3/4)*3^(1/4)*sqrt(2)*x*sqrt(sqrt(3) + 2) + 12*4^(3/4)*3^(3/8)*sqrt(12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 24*sqrt(3) + 48)*(sqrt(3)*(x^4 + x^3)^(1/4)*(sqrt(3)*sqrt(2) + 3*sqrt(2)) - 12^(1/4)*3^(3/4)*(x^4 + x^3)^(1/4)*sqrt(sqrt(3) + 2)) + 432*sqrt(3)*x + 864*x)/x) - 1/72*12^(3/4)*4^(1/4)*3^(7/8)*sqrt(12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 24*sqrt(3) + 48)*sqrt(sqrt(3) + 2)*arctan(1/432*(4^(3/4)*3^(3/8)*sqrt(2)*sqrt(12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 24*sqrt(3) + 48)*(12^(1/4)*3^(3/4)*x*sqrt(sqrt(3) + 2) - sqrt(3)*(sqrt(3)*sqrt(2)*x + 3*sqrt(2)*x))*sqrt((72*3^(1/4)*x^2 - 4^(1/4)*3^(1/8)*(12^(3/4)*3^(1/4)*(x^4 + x^3)^(1/4)*(sqrt(3)*x - 3*x)*sqrt(sqrt(3) + 2) + 6*sqrt(3)*sqrt(2)*(x^4 + x^3)^(1/4)*x)*sqrt(12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 24*sqrt(3) + 48) + 72*sqrt(x^4 + x^3))/x^2) + 72*12^(3/4)*3^(1/4)*sqrt(2)*x*sqrt(sqrt(3) + 2) + 12*4^(3/4)*3^(3/8)*sqrt(12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 24*sqrt(3) + 48)*(sqrt(3)*(x^4 + x^3)^(1/4)*(sqrt(3)*sqrt(2) + 3*sqrt(2)) - 12^(1/4)*3^(3/4)*(x^4 + x^3)^(1/4)*sqrt(sqrt(3) + 2)) - 432*sqrt(3)*x - 864*x)/x) - 1/144*12^(3/4)*4^(1/4)*3^(7/8)*sqrt(-4*12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 96*sqrt(3) + 192)*sqrt(sqrt(3) + 2)*arctan(1/864*(4^(3/4)*3^(3/8)*sqrt(-4*12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 96*sqrt(3) + 192)*(12^(1/4)*3^(3/4)*x*sqrt(sqrt(3) + 2) + sqrt(3)*(sqrt(3)*sqrt(2)*x + 3*sqrt(2)*x))*sqrt((144*3^(1/4)*x^2 + 4^(1/4)*3^(1/8)*(12^(3/4)*3^(1/4)*(x^4 + x^3)^(1/4)*(sqrt(3)*x - 3*x)*sqrt(sqrt(3) + 2) - 6*sqrt(3)*sqrt(2)*(x^4 + x^3)^(1/4)*x)*sqrt(-4*12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 96*sqrt(3) + 192) + 144*sqrt(x^4 + x^3))/x^2) + 144*12^(3/4)*3^(1/4)*sqrt(2)*x*sqrt(sqrt(3) + 2) - 12*4^(3/4)*3^(3/8)*sqrt(-4*12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 96*sqrt(3) + 192)*(sqrt(3)*(x^4 + x^3)^(1/4)*(sqrt(3)*sqrt(2) + 3*sqrt(2)) + 12^(1/4)*3^(3/4)*(x^4 + x^3)^(1/4)*sqrt(sqrt(3) + 2)) + 864*sqrt(3)*x + 1728*x)/x) - 1/144*12^(3/4)*4^(1/4)*3^(7/8)*sqrt(-4*12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 96*sqrt(3) + 192)*sqrt(sqrt(3) + 2)*arctan(1/864*(4^(3/4)*3^(3/8)*sqrt(-4*12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 96*sqrt(3) + 192)*(12^(1/4)*3^(3/4)*x*sqrt(sqrt(3) + 2) + sqrt(3)*(sqrt(3)*sqrt(2)*x + 3*sqrt(2)*x))*sqrt((144*3^(1/4)*x^2 - 4^(1/4)*3^(1/8)*(12^(3/4)*3^(1/4)*(x^4 + x^3)^(1/4)*(sqrt(3)*x - 3*x)*sqrt(sqrt(3) + 2) - 6*sqrt(3)*sqrt(2)*(x^4 + x^3)^(1/4)*x)*sqrt(-4*12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 96*sqrt(3) + 192) + 144*sqrt(x^4 + x^3))/x^2) - 144*12^(3/4)*3^(1/4)*sqrt(2)*x*sqrt(sqrt(3) + 2) - 12*4^(3/4)*3^(3/8)*sqrt(-4*12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 96*sqrt(3) + 192)*(sqrt(3)*(x^4 + x^3)^(1/4)*(sqrt(3)*sqrt(2) + 3*sqrt(2)) + 12^(1/4)*3^(3/4)*(x^4 + x^3)^(1/4)*sqrt(sqrt(3) + 2)) - 864*sqrt(3)*x - 1728*x)/x) - 1/576*4^(1/4)*3^(1/8)*sqrt(-4*12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 96*sqrt(3) + 192)*(12^(3/4)*3^(1/4)*(2*sqrt(3) - 3)*sqrt(sqrt(3) + 2) - 12*sqrt(3)*sqrt(2))*log(1/9*(144*3^(1/4)*x^2 + 4^(1/4)*3^(1/8)*(12^(3/4)*3^(1/4)*(x^4 + x^3)^(1/4)*(sqrt(3)*x - 3*x)*sqrt(sqrt(3) + 2) - 6*sqrt(3)*sqrt(2)*(x^4 + x^3)^(1/4)*x)*sqrt(-4*12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 96*sqrt(3) + 192) + 144*sqrt(x^4 + x^3))/x^2) + 1/576*4^(1/4)*3^(1/8)*sqrt(-4*12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 96*sqrt(3) + 192)*(12^(3/4)*3^(1/4)*(2*sqrt(3) - 3)*sqrt(sqrt(3) + 2) - 12*sqrt(3)*sqrt(2))*log(1/9*(144*3^(1/4)*x^2 - 4^(1/4)*3^(1/8)*(12^(3/4)*3^(1/4)*(x^4 + x^3)^(1/4)*(sqrt(3)*x - 3*x)*sqrt(sqrt(3) + 2) - 6*sqrt(3)*sqrt(2)*(x^4 + x^3)^(1/4)*x)*sqrt(-4*12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 96*sqrt(3) + 192) + 144*sqrt(x^4 + x^3))/x^2) - 1/288*4^(1/4)*3^(1/8)*sqrt(12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 24*sqrt(3) + 48)*(12^(3/4)*3^(1/4)*(2*sqrt(3) - 3)*sqrt(sqrt(3) + 2) + 12*sqrt(3)*sqrt(2))*log(2/9*(72*3^(1/4)*x^2 + 4^(1/4)*3^(1/8)*(12^(3/4)*3^(1/4)*(x^4 + x^3)^(1/4)*(sqrt(3)*x - 3*x)*sqrt(sqrt(3) + 2) + 6*sqrt(3)*sqrt(2)*(x^4 + x^3)^(1/4)*x)*sqrt(12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 24*sqrt(3) + 48) + 72*sqrt(x^4 + x^3))/x^2) + 1/288*4^(1/4)*3^(1/8)*sqrt(12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 24*sqrt(3) + 48)*(12^(3/4)*3^(1/4)*(2*sqrt(3) - 3)*sqrt(sqrt(3) + 2) + 12*sqrt(3)*sqrt(2))*log(2/9*(72*3^(1/4)*x^2 - 4^(1/4)*3^(1/8)*(12^(3/4)*3^(1/4)*(x^4 + x^3)^(1/4)*(sqrt(3)*x - 3*x)*sqrt(sqrt(3) + 2) + 6*sqrt(3)*sqrt(2)*(x^4 + x^3)^(1/4)*x)*sqrt(12^(3/4)*3^(1/4)*(4*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(sqrt(3) + 2) - 24*sqrt(3) + 48) + 72*sqrt(x^4 + x^3))/x^2) - 1/8*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8)*log(8*(2*x^2 + (x^4 + x^3)^(1/4)*x*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 + x^3))/x^2) + 1/8*(sqrt(3) + 2)*sqrt(-4*sqrt(3) + 8)*log(8*(2*x^2 - (x^4 + x^3)^(1/4)*x*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 + x^3))/x^2) + 1/4*sqrt(sqrt(3) + 2)*(sqrt(3) - 2)*log(16*(x^2 + (x^4 + x^3)^(1/4)*x*sqrt(sqrt(3) + 2) + sqrt(x^4 + x^3))/x^2) - 1/4*sqrt(sqrt(3) + 2)*(sqrt(3) - 2)*log(16*(x^2 - (x^4 + x^3)^(1/4)*x*sqrt(sqrt(3) + 2) + sqrt(x^4 + x^3))/x^2) + 1/2*sqrt(-4*sqrt(3) + 8)*arctan(1/2*(sqrt(2)*x*sqrt(-4*sqrt(3) + 8)*sqrt((2*x^2 + (x^4 + x^3)^(1/4)*x*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 + x^3))/x^2) + 2*sqrt(3)*x - 4*x - 2*(x^4 + x^3)^(1/4)*sqrt(-4*sqrt(3) + 8))/x) + 1/2*sqrt(-4*sqrt(3) + 8)*arctan(1/2*(sqrt(2)*x*sqrt(-4*sqrt(3) + 8)*sqrt((2*x^2 - (x^4 + x^3)^(1/4)*x*sqrt(-4*sqrt(3) + 8) + 2*sqrt(x^4 + x^3))/x^2) - 2*sqrt(3)*x + 4*x - 2*(x^4 + x^3)^(1/4)*sqrt(-4*sqrt(3) + 8))/x) + sqrt(sqrt(3) + 2)*arctan((2*x*sqrt(sqrt(3) + 2)*sqrt((x^2 + (x^4 + x^3)^(1/4)*x*sqrt(sqrt(3) + 2) + sqrt(x^4 + x^3))/x^2) - sqrt(3)*x - 2*x - 2*(x^4 + x^3)^(1/4)*sqrt(sqrt(3) + 2))/x) + sqrt(sqrt(3) + 2)*arctan((2*x*sqrt(sqrt(3) + 2)*sqrt((x^2 - (x^4 + x^3)^(1/4)*x*sqrt(sqrt(3) + 2) + sqrt(x^4 + x^3))/x^2) + sqrt(3)*x + 2*x - 2*(x^4 + x^3)^(1/4)*sqrt(sqrt(3) + 2))/x) + 2*arctan((x^4 + x^3)^(1/4)/x) + log((x + (x^4 + x^3)^(1/4))/x) - log(-(x - (x^4 + x^3)^(1/4))/x)","B",0
2525,-1,0,0,0.000000," ","integrate((a*x^2-b)*(a*x^4-b*x^2)^(1/4)/(x^4-a*x^2+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2526,-1,0,0,0.000000," ","integrate((a*x^2-b)*(a*x^4-b*x^2)^(1/4)/(x^4-a*x^2+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2527,-1,0,0,0.000000," ","integrate((a*x^2-b^2)^2/(a*x^2+b^2)^2/(b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2528,-1,0,0,0.000000," ","integrate((-2+(1+k)*x)*(a-a*(1+k)*x+(a*k+1)*x^2)/(-1+x)/((1-x)*x*(-k*x+1))^(1/3)/(k*x-1)/(b-b*(1+k)*x+(b*k-1)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2529,1,190,0,0.961431," ","integrate((x^3+b)^3/(x^3+a)^(1/3),x, algorithm=""fricas"")","\frac{1}{243} \, \sqrt{3} {\left(14 \, a^{3} - 54 \, a^{2} b + 81 \, a b^{2} - 81 \, b^{3}\right)} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + a\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{1}{243} \, {\left(14 \, a^{3} - 54 \, a^{2} b + 81 \, a b^{2} - 81 \, b^{3}\right)} \log\left(-\frac{x - {\left(x^{3} + a\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{486} \, {\left(14 \, a^{3} - 54 \, a^{2} b + 81 \, a b^{2} - 81 \, b^{3}\right)} \log\left(\frac{x^{2} + {\left(x^{3} + a\right)}^{\frac{1}{3}} x + {\left(x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}}\right) + \frac{1}{162} \, {\left(18 \, x^{7} - 3 \, {\left(7 \, a - 27 \, b\right)} x^{4} + 2 \, {\left(14 \, a^{2} - 54 \, a b + 81 \, b^{2}\right)} x\right)} {\left(x^{3} + a\right)}^{\frac{2}{3}}"," ",0,"1/243*sqrt(3)*(14*a^3 - 54*a^2*b + 81*a*b^2 - 81*b^3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + a)^(1/3))/x) + 1/243*(14*a^3 - 54*a^2*b + 81*a*b^2 - 81*b^3)*log(-(x - (x^3 + a)^(1/3))/x) - 1/486*(14*a^3 - 54*a^2*b + 81*a*b^2 - 81*b^3)*log((x^2 + (x^3 + a)^(1/3)*x + (x^3 + a)^(2/3))/x^2) + 1/162*(18*x^7 - 3*(7*a - 27*b)*x^4 + 2*(14*a^2 - 54*a*b + 81*b^2)*x)*(x^3 + a)^(2/3)","A",0
2530,-1,0,0,0.000000," ","integrate((x^3-x^2+1)/(x^3-x^2-1)/(x^3+x^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2531,-1,0,0,0.000000," ","integrate((x^3-x^2+1)/(x^3-x^2-1)/(x^3+x^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2532,-1,0,0,0.000000," ","integrate((-3+(-2*k^2+1)*x+3*k^2*x^2+k^2*x^3)/((-x^2+1)*(-k^2*x^2+1))^(1/3)/(-1+d-(2+d)*x-(d*k^2+1)*x^2+d*k^2*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2533,1,288,0,1.529690," ","integrate(x^2/(a*x^4-b)/(a*x^4+b)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}} \arctan\left(\frac{2 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} \sqrt{a x^{4} + b} a^{2} b^{2} \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{3}{4}} - \frac{2 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{3} b^{2} x^{2} \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{3}{4}} + \left(\frac{1}{4}\right)^{\frac{1}{4}} a b \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}}}{\sqrt{a}}}{x}\right) - \frac{1}{8} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}} \log\left(\frac{4 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{2} b^{3} x \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{3}{4}} + 2 \, \left(\frac{1}{4}\right)^{\frac{1}{4}} a b x^{3} \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}} + \sqrt{a x^{4} + b} {\left(a b^{2} \sqrt{\frac{1}{a^{3} b^{3}}} + x^{2}\right)}}{a x^{4} - b}\right) + \frac{1}{8} \, \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}} \log\left(-\frac{4 \, \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{2} b^{3} x \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{3}{4}} + 2 \, \left(\frac{1}{4}\right)^{\frac{1}{4}} a b x^{3} \left(\frac{1}{a^{3} b^{3}}\right)^{\frac{1}{4}} - \sqrt{a x^{4} + b} {\left(a b^{2} \sqrt{\frac{1}{a^{3} b^{3}}} + x^{2}\right)}}{a x^{4} - b}\right)"," ",0,"-1/2*(1/4)^(1/4)*(1/(a^3*b^3))^(1/4)*arctan((2*(1/4)^(3/4)*sqrt(a*x^4 + b)*a^2*b^2*(1/(a^3*b^3))^(3/4) - (2*(1/4)^(3/4)*a^3*b^2*x^2*(1/(a^3*b^3))^(3/4) + (1/4)^(1/4)*a*b*(1/(a^3*b^3))^(1/4))/sqrt(a))/x) - 1/8*(1/4)^(1/4)*(1/(a^3*b^3))^(1/4)*log((4*(1/4)^(3/4)*a^2*b^3*x*(1/(a^3*b^3))^(3/4) + 2*(1/4)^(1/4)*a*b*x^3*(1/(a^3*b^3))^(1/4) + sqrt(a*x^4 + b)*(a*b^2*sqrt(1/(a^3*b^3)) + x^2))/(a*x^4 - b)) + 1/8*(1/4)^(1/4)*(1/(a^3*b^3))^(1/4)*log(-(4*(1/4)^(3/4)*a^2*b^3*x*(1/(a^3*b^3))^(3/4) + 2*(1/4)^(1/4)*a*b*x^3*(1/(a^3*b^3))^(1/4) - sqrt(a*x^4 + b)*(a*b^2*sqrt(1/(a^3*b^3)) + x^2))/(a*x^4 - b))","B",0
2534,-1,0,0,0.000000," ","integrate((-1+x)*(k*x-1)*(-2+(1+k)*x)/((1-x)*x*(-k*x+1))^(1/3)/(b-2*(b*k+b)*x+(b*k^2+4*b*k+b)*x^2-2*b*k*(1+k)*x^3+(b*k^2-1)*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2535,1,5974,0,1.169833," ","integrate((f*x^2-g)*(c+(a*x+b)^(1/2))^(1/2)/(d*x^2+e),x, algorithm=""fricas"")","\frac{15 \, a d \sqrt{-\frac{c e^{2} f^{2} + 2 \, c d e f g + c d^{2} g^{2} + d^{3} e \sqrt{\frac{b e^{4} f^{4} + 4 \, b d e^{3} f^{3} g + 6 \, b d^{2} e^{2} f^{2} g^{2} + 4 \, b d^{3} e f g^{3} + b d^{4} g^{4} + d^{6} e^{2} \sqrt{-\frac{a^{2} e^{8} f^{8} + 8 \, a^{2} d e^{7} f^{7} g + 28 \, a^{2} d^{2} e^{6} f^{6} g^{2} + 56 \, a^{2} d^{3} e^{5} f^{5} g^{3} + 70 \, a^{2} d^{4} e^{4} f^{4} g^{4} + 56 \, a^{2} d^{5} e^{3} f^{3} g^{5} + 28 \, a^{2} d^{6} e^{2} f^{2} g^{6} + 8 \, a^{2} d^{7} e f g^{7} + a^{2} d^{8} g^{8}}{d^{13} e^{3}}}}{d^{6} e^{2}}}}{d^{3} e}} \log\left(d^{8} e^{2} \sqrt{-\frac{c e^{2} f^{2} + 2 \, c d e f g + c d^{2} g^{2} + d^{3} e \sqrt{\frac{b e^{4} f^{4} + 4 \, b d e^{3} f^{3} g + 6 \, b d^{2} e^{2} f^{2} g^{2} + 4 \, b d^{3} e f g^{3} + b d^{4} g^{4} + d^{6} e^{2} \sqrt{-\frac{a^{2} e^{8} f^{8} + 8 \, a^{2} d e^{7} f^{7} g + 28 \, a^{2} d^{2} e^{6} f^{6} g^{2} + 56 \, a^{2} d^{3} e^{5} f^{5} g^{3} + 70 \, a^{2} d^{4} e^{4} f^{4} g^{4} + 56 \, a^{2} d^{5} e^{3} f^{3} g^{5} + 28 \, a^{2} d^{6} e^{2} f^{2} g^{6} + 8 \, a^{2} d^{7} e f g^{7} + a^{2} d^{8} g^{8}}{d^{13} e^{3}}}}{d^{6} e^{2}}}}{d^{3} e}} \sqrt{-\frac{a^{2} e^{8} f^{8} + 8 \, a^{2} d e^{7} f^{7} g + 28 \, a^{2} d^{2} e^{6} f^{6} g^{2} + 56 \, a^{2} d^{3} e^{5} f^{5} g^{3} + 70 \, a^{2} d^{4} e^{4} f^{4} g^{4} + 56 \, a^{2} d^{5} e^{3} f^{3} g^{5} + 28 \, a^{2} d^{6} e^{2} f^{2} g^{6} + 8 \, a^{2} d^{7} e f g^{7} + a^{2} d^{8} g^{8}}{d^{13} e^{3}}} + {\left(a e^{5} f^{5} + 5 \, a d e^{4} f^{4} g + 10 \, a d^{2} e^{3} f^{3} g^{2} + 10 \, a d^{3} e^{2} f^{2} g^{3} + 5 \, a d^{4} e f g^{4} + a d^{5} g^{5}\right)} \sqrt{c + \sqrt{a x + b}}\right) - 15 \, a d \sqrt{-\frac{c e^{2} f^{2} + 2 \, c d e f g + c d^{2} g^{2} + d^{3} e \sqrt{\frac{b e^{4} f^{4} + 4 \, b d e^{3} f^{3} g + 6 \, b d^{2} e^{2} f^{2} g^{2} + 4 \, b d^{3} e f g^{3} + b d^{4} g^{4} + d^{6} e^{2} \sqrt{-\frac{a^{2} e^{8} f^{8} + 8 \, a^{2} d e^{7} f^{7} g + 28 \, a^{2} d^{2} e^{6} f^{6} g^{2} + 56 \, a^{2} d^{3} e^{5} f^{5} g^{3} + 70 \, a^{2} d^{4} e^{4} f^{4} g^{4} + 56 \, a^{2} d^{5} e^{3} f^{3} g^{5} + 28 \, a^{2} d^{6} e^{2} f^{2} g^{6} + 8 \, a^{2} d^{7} e f g^{7} + a^{2} d^{8} g^{8}}{d^{13} e^{3}}}}{d^{6} e^{2}}}}{d^{3} e}} \log\left(-d^{8} e^{2} \sqrt{-\frac{c e^{2} f^{2} + 2 \, c d e f g + c d^{2} g^{2} + d^{3} e \sqrt{\frac{b e^{4} f^{4} + 4 \, b d e^{3} f^{3} g + 6 \, b d^{2} e^{2} f^{2} g^{2} + 4 \, b d^{3} e f g^{3} + b d^{4} g^{4} + d^{6} e^{2} \sqrt{-\frac{a^{2} e^{8} f^{8} + 8 \, a^{2} d e^{7} f^{7} g + 28 \, a^{2} d^{2} e^{6} f^{6} g^{2} + 56 \, a^{2} d^{3} e^{5} f^{5} g^{3} + 70 \, a^{2} d^{4} e^{4} f^{4} g^{4} + 56 \, a^{2} d^{5} e^{3} f^{3} g^{5} + 28 \, a^{2} d^{6} e^{2} f^{2} g^{6} + 8 \, a^{2} d^{7} e f g^{7} + a^{2} d^{8} g^{8}}{d^{13} e^{3}}}}{d^{6} e^{2}}}}{d^{3} e}} \sqrt{-\frac{a^{2} e^{8} f^{8} + 8 \, a^{2} d e^{7} f^{7} g + 28 \, a^{2} d^{2} e^{6} f^{6} g^{2} + 56 \, a^{2} d^{3} e^{5} f^{5} g^{3} + 70 \, a^{2} d^{4} e^{4} f^{4} g^{4} + 56 \, a^{2} d^{5} e^{3} f^{3} g^{5} + 28 \, a^{2} d^{6} e^{2} f^{2} g^{6} + 8 \, a^{2} d^{7} e f g^{7} + a^{2} d^{8} g^{8}}{d^{13} e^{3}}} + {\left(a e^{5} f^{5} + 5 \, a d e^{4} f^{4} g + 10 \, a d^{2} e^{3} f^{3} g^{2} + 10 \, a d^{3} e^{2} f^{2} g^{3} + 5 \, a d^{4} e f g^{4} + a d^{5} g^{5}\right)} \sqrt{c + \sqrt{a x + b}}\right) + 15 \, a d \sqrt{-\frac{c e^{2} f^{2} + 2 \, c d e f g + c d^{2} g^{2} - d^{3} e \sqrt{\frac{b e^{4} f^{4} + 4 \, b d e^{3} f^{3} g + 6 \, b d^{2} e^{2} f^{2} g^{2} + 4 \, b d^{3} e f g^{3} + b d^{4} g^{4} + d^{6} e^{2} \sqrt{-\frac{a^{2} e^{8} f^{8} + 8 \, a^{2} d e^{7} f^{7} g + 28 \, a^{2} d^{2} e^{6} f^{6} g^{2} + 56 \, a^{2} d^{3} e^{5} f^{5} g^{3} + 70 \, a^{2} d^{4} e^{4} f^{4} g^{4} + 56 \, a^{2} d^{5} e^{3} f^{3} g^{5} + 28 \, a^{2} d^{6} e^{2} f^{2} g^{6} + 8 \, a^{2} d^{7} e f g^{7} + a^{2} d^{8} g^{8}}{d^{13} e^{3}}}}{d^{6} e^{2}}}}{d^{3} e}} \log\left(d^{8} e^{2} \sqrt{-\frac{c e^{2} f^{2} + 2 \, c d e f g + c d^{2} g^{2} - d^{3} e \sqrt{\frac{b e^{4} f^{4} + 4 \, b d e^{3} f^{3} g + 6 \, b d^{2} e^{2} f^{2} g^{2} + 4 \, b d^{3} e f g^{3} + b d^{4} g^{4} + d^{6} e^{2} \sqrt{-\frac{a^{2} e^{8} f^{8} + 8 \, a^{2} d e^{7} f^{7} g + 28 \, a^{2} d^{2} e^{6} f^{6} g^{2} + 56 \, a^{2} d^{3} e^{5} f^{5} g^{3} + 70 \, a^{2} d^{4} e^{4} f^{4} g^{4} + 56 \, a^{2} d^{5} e^{3} f^{3} g^{5} + 28 \, a^{2} d^{6} e^{2} f^{2} g^{6} + 8 \, a^{2} d^{7} e f g^{7} + a^{2} d^{8} g^{8}}{d^{13} e^{3}}}}{d^{6} e^{2}}}}{d^{3} e}} \sqrt{-\frac{a^{2} e^{8} f^{8} + 8 \, a^{2} d e^{7} f^{7} g + 28 \, a^{2} d^{2} e^{6} f^{6} g^{2} + 56 \, a^{2} d^{3} e^{5} f^{5} g^{3} + 70 \, a^{2} d^{4} e^{4} f^{4} g^{4} + 56 \, a^{2} d^{5} e^{3} f^{3} g^{5} + 28 \, a^{2} d^{6} e^{2} f^{2} g^{6} + 8 \, a^{2} d^{7} e f g^{7} + a^{2} d^{8} g^{8}}{d^{13} e^{3}}} + {\left(a e^{5} f^{5} + 5 \, a d e^{4} f^{4} g + 10 \, a d^{2} e^{3} f^{3} g^{2} + 10 \, a d^{3} e^{2} f^{2} g^{3} + 5 \, a d^{4} e f g^{4} + a d^{5} g^{5}\right)} \sqrt{c + \sqrt{a x + b}}\right) - 15 \, a d \sqrt{-\frac{c e^{2} f^{2} + 2 \, c d e f g + c d^{2} g^{2} - d^{3} e \sqrt{\frac{b e^{4} f^{4} + 4 \, b d e^{3} f^{3} g + 6 \, b d^{2} e^{2} f^{2} g^{2} + 4 \, b d^{3} e f g^{3} + b d^{4} g^{4} + d^{6} e^{2} \sqrt{-\frac{a^{2} e^{8} f^{8} + 8 \, a^{2} d e^{7} f^{7} g + 28 \, a^{2} d^{2} e^{6} f^{6} g^{2} + 56 \, a^{2} d^{3} e^{5} f^{5} g^{3} + 70 \, a^{2} d^{4} e^{4} f^{4} g^{4} + 56 \, a^{2} d^{5} e^{3} f^{3} g^{5} + 28 \, a^{2} d^{6} e^{2} f^{2} g^{6} + 8 \, a^{2} d^{7} e f g^{7} + a^{2} d^{8} g^{8}}{d^{13} e^{3}}}}{d^{6} e^{2}}}}{d^{3} e}} \log\left(-d^{8} e^{2} \sqrt{-\frac{c e^{2} f^{2} + 2 \, c d e f g + c d^{2} g^{2} - d^{3} e \sqrt{\frac{b e^{4} f^{4} + 4 \, b d e^{3} f^{3} g + 6 \, b d^{2} e^{2} f^{2} g^{2} + 4 \, b d^{3} e f g^{3} + b d^{4} g^{4} + d^{6} e^{2} \sqrt{-\frac{a^{2} e^{8} f^{8} + 8 \, a^{2} d e^{7} f^{7} g + 28 \, a^{2} d^{2} e^{6} f^{6} g^{2} + 56 \, a^{2} d^{3} e^{5} f^{5} g^{3} + 70 \, a^{2} d^{4} e^{4} f^{4} g^{4} + 56 \, a^{2} d^{5} e^{3} f^{3} g^{5} + 28 \, a^{2} d^{6} e^{2} f^{2} g^{6} + 8 \, a^{2} d^{7} e f g^{7} + a^{2} d^{8} g^{8}}{d^{13} e^{3}}}}{d^{6} e^{2}}}}{d^{3} e}} \sqrt{-\frac{a^{2} e^{8} f^{8} + 8 \, a^{2} d e^{7} f^{7} g + 28 \, a^{2} d^{2} e^{6} f^{6} g^{2} + 56 \, a^{2} d^{3} e^{5} f^{5} g^{3} + 70 \, a^{2} d^{4} e^{4} f^{4} g^{4} + 56 \, a^{2} d^{5} e^{3} f^{3} g^{5} + 28 \, a^{2} d^{6} e^{2} f^{2} g^{6} + 8 \, a^{2} d^{7} e f g^{7} + a^{2} d^{8} g^{8}}{d^{13} e^{3}}} + {\left(a e^{5} f^{5} + 5 \, a d e^{4} f^{4} g + 10 \, a d^{2} e^{3} f^{3} g^{2} + 10 \, a d^{3} e^{2} f^{2} g^{3} + 5 \, a d^{4} e f g^{4} + a d^{5} g^{5}\right)} \sqrt{c + \sqrt{a x + b}}\right) - 15 \, a d \sqrt{-\frac{c e^{2} f^{2} + 2 \, c d e f g + c d^{2} g^{2} + d^{3} e \sqrt{\frac{b e^{4} f^{4} + 4 \, b d e^{3} f^{3} g + 6 \, b d^{2} e^{2} f^{2} g^{2} + 4 \, b d^{3} e f g^{3} + b d^{4} g^{4} - d^{6} e^{2} \sqrt{-\frac{a^{2} e^{8} f^{8} + 8 \, a^{2} d e^{7} f^{7} g + 28 \, a^{2} d^{2} e^{6} f^{6} g^{2} + 56 \, a^{2} d^{3} e^{5} f^{5} g^{3} + 70 \, a^{2} d^{4} e^{4} f^{4} g^{4} + 56 \, a^{2} d^{5} e^{3} f^{3} g^{5} + 28 \, a^{2} d^{6} e^{2} f^{2} g^{6} + 8 \, a^{2} d^{7} e f g^{7} + a^{2} d^{8} g^{8}}{d^{13} e^{3}}}}{d^{6} e^{2}}}}{d^{3} e}} \log\left(d^{8} e^{2} \sqrt{-\frac{c e^{2} f^{2} + 2 \, c d e f g + c d^{2} g^{2} + d^{3} e \sqrt{\frac{b e^{4} f^{4} + 4 \, b d e^{3} f^{3} g + 6 \, b d^{2} e^{2} f^{2} g^{2} + 4 \, b d^{3} e f g^{3} + b d^{4} g^{4} - d^{6} e^{2} \sqrt{-\frac{a^{2} e^{8} f^{8} + 8 \, a^{2} d e^{7} f^{7} g + 28 \, a^{2} d^{2} e^{6} f^{6} g^{2} + 56 \, a^{2} d^{3} e^{5} f^{5} g^{3} + 70 \, a^{2} d^{4} e^{4} f^{4} g^{4} + 56 \, a^{2} d^{5} e^{3} f^{3} g^{5} + 28 \, a^{2} d^{6} e^{2} f^{2} g^{6} + 8 \, a^{2} d^{7} e f g^{7} + a^{2} d^{8} g^{8}}{d^{13} e^{3}}}}{d^{6} e^{2}}}}{d^{3} e}} \sqrt{-\frac{a^{2} e^{8} f^{8} + 8 \, a^{2} d e^{7} f^{7} g + 28 \, a^{2} d^{2} e^{6} f^{6} g^{2} + 56 \, a^{2} d^{3} e^{5} f^{5} g^{3} + 70 \, a^{2} d^{4} e^{4} f^{4} g^{4} + 56 \, a^{2} d^{5} e^{3} f^{3} g^{5} + 28 \, a^{2} d^{6} e^{2} f^{2} g^{6} + 8 \, a^{2} d^{7} e f g^{7} + a^{2} d^{8} g^{8}}{d^{13} e^{3}}} + {\left(a e^{5} f^{5} + 5 \, a d e^{4} f^{4} g + 10 \, a d^{2} e^{3} f^{3} g^{2} + 10 \, a d^{3} e^{2} f^{2} g^{3} + 5 \, a d^{4} e f g^{4} + a d^{5} g^{5}\right)} \sqrt{c + \sqrt{a x + b}}\right) + 15 \, a d \sqrt{-\frac{c e^{2} f^{2} + 2 \, c d e f g + c d^{2} g^{2} + d^{3} e \sqrt{\frac{b e^{4} f^{4} + 4 \, b d e^{3} f^{3} g + 6 \, b d^{2} e^{2} f^{2} g^{2} + 4 \, b d^{3} e f g^{3} + b d^{4} g^{4} - d^{6} e^{2} \sqrt{-\frac{a^{2} e^{8} f^{8} + 8 \, a^{2} d e^{7} f^{7} g + 28 \, a^{2} d^{2} e^{6} f^{6} g^{2} + 56 \, a^{2} d^{3} e^{5} f^{5} g^{3} + 70 \, a^{2} d^{4} e^{4} f^{4} g^{4} + 56 \, a^{2} d^{5} e^{3} f^{3} g^{5} + 28 \, a^{2} d^{6} e^{2} f^{2} g^{6} + 8 \, a^{2} d^{7} e f g^{7} + a^{2} d^{8} g^{8}}{d^{13} e^{3}}}}{d^{6} e^{2}}}}{d^{3} e}} \log\left(-d^{8} e^{2} \sqrt{-\frac{c e^{2} f^{2} + 2 \, c d e f g + c d^{2} g^{2} + d^{3} e \sqrt{\frac{b e^{4} f^{4} + 4 \, b d e^{3} f^{3} g + 6 \, b d^{2} e^{2} f^{2} g^{2} + 4 \, b d^{3} e f g^{3} + b d^{4} g^{4} - d^{6} e^{2} \sqrt{-\frac{a^{2} e^{8} f^{8} + 8 \, a^{2} d e^{7} f^{7} g + 28 \, a^{2} d^{2} e^{6} f^{6} g^{2} + 56 \, a^{2} d^{3} e^{5} f^{5} g^{3} + 70 \, a^{2} d^{4} e^{4} f^{4} g^{4} + 56 \, a^{2} d^{5} e^{3} f^{3} g^{5} + 28 \, a^{2} d^{6} e^{2} f^{2} g^{6} + 8 \, a^{2} d^{7} e f g^{7} + a^{2} d^{8} g^{8}}{d^{13} e^{3}}}}{d^{6} e^{2}}}}{d^{3} e}} \sqrt{-\frac{a^{2} e^{8} f^{8} + 8 \, a^{2} d e^{7} f^{7} g + 28 \, a^{2} d^{2} e^{6} f^{6} g^{2} + 56 \, a^{2} d^{3} e^{5} f^{5} g^{3} + 70 \, a^{2} d^{4} e^{4} f^{4} g^{4} + 56 \, a^{2} d^{5} e^{3} f^{3} g^{5} + 28 \, a^{2} d^{6} e^{2} f^{2} g^{6} + 8 \, a^{2} d^{7} e f g^{7} + a^{2} d^{8} g^{8}}{d^{13} e^{3}}} + {\left(a e^{5} f^{5} + 5 \, a d e^{4} f^{4} g + 10 \, a d^{2} e^{3} f^{3} g^{2} + 10 \, a d^{3} e^{2} f^{2} g^{3} + 5 \, a d^{4} e f g^{4} + a d^{5} g^{5}\right)} \sqrt{c + \sqrt{a x + b}}\right) - 15 \, a d \sqrt{-\frac{c e^{2} f^{2} + 2 \, c d e f g + c d^{2} g^{2} - d^{3} e \sqrt{\frac{b e^{4} f^{4} + 4 \, b d e^{3} f^{3} g + 6 \, b d^{2} e^{2} f^{2} g^{2} + 4 \, b d^{3} e f g^{3} + b d^{4} g^{4} - d^{6} e^{2} \sqrt{-\frac{a^{2} e^{8} f^{8} + 8 \, a^{2} d e^{7} f^{7} g + 28 \, a^{2} d^{2} e^{6} f^{6} g^{2} + 56 \, a^{2} d^{3} e^{5} f^{5} g^{3} + 70 \, a^{2} d^{4} e^{4} f^{4} g^{4} + 56 \, a^{2} d^{5} e^{3} f^{3} g^{5} + 28 \, a^{2} d^{6} e^{2} f^{2} g^{6} + 8 \, a^{2} d^{7} e f g^{7} + a^{2} d^{8} g^{8}}{d^{13} e^{3}}}}{d^{6} e^{2}}}}{d^{3} e}} \log\left(d^{8} e^{2} \sqrt{-\frac{c e^{2} f^{2} + 2 \, c d e f g + c d^{2} g^{2} - d^{3} e \sqrt{\frac{b e^{4} f^{4} + 4 \, b d e^{3} f^{3} g + 6 \, b d^{2} e^{2} f^{2} g^{2} + 4 \, b d^{3} e f g^{3} + b d^{4} g^{4} - d^{6} e^{2} \sqrt{-\frac{a^{2} e^{8} f^{8} + 8 \, a^{2} d e^{7} f^{7} g + 28 \, a^{2} d^{2} e^{6} f^{6} g^{2} + 56 \, a^{2} d^{3} e^{5} f^{5} g^{3} + 70 \, a^{2} d^{4} e^{4} f^{4} g^{4} + 56 \, a^{2} d^{5} e^{3} f^{3} g^{5} + 28 \, a^{2} d^{6} e^{2} f^{2} g^{6} + 8 \, a^{2} d^{7} e f g^{7} + a^{2} d^{8} g^{8}}{d^{13} e^{3}}}}{d^{6} e^{2}}}}{d^{3} e}} \sqrt{-\frac{a^{2} e^{8} f^{8} + 8 \, a^{2} d e^{7} f^{7} g + 28 \, a^{2} d^{2} e^{6} f^{6} g^{2} + 56 \, a^{2} d^{3} e^{5} f^{5} g^{3} + 70 \, a^{2} d^{4} e^{4} f^{4} g^{4} + 56 \, a^{2} d^{5} e^{3} f^{3} g^{5} + 28 \, a^{2} d^{6} e^{2} f^{2} g^{6} + 8 \, a^{2} d^{7} e f g^{7} + a^{2} d^{8} g^{8}}{d^{13} e^{3}}} + {\left(a e^{5} f^{5} + 5 \, a d e^{4} f^{4} g + 10 \, a d^{2} e^{3} f^{3} g^{2} + 10 \, a d^{3} e^{2} f^{2} g^{3} + 5 \, a d^{4} e f g^{4} + a d^{5} g^{5}\right)} \sqrt{c + \sqrt{a x + b}}\right) + 15 \, a d \sqrt{-\frac{c e^{2} f^{2} + 2 \, c d e f g + c d^{2} g^{2} - d^{3} e \sqrt{\frac{b e^{4} f^{4} + 4 \, b d e^{3} f^{3} g + 6 \, b d^{2} e^{2} f^{2} g^{2} + 4 \, b d^{3} e f g^{3} + b d^{4} g^{4} - d^{6} e^{2} \sqrt{-\frac{a^{2} e^{8} f^{8} + 8 \, a^{2} d e^{7} f^{7} g + 28 \, a^{2} d^{2} e^{6} f^{6} g^{2} + 56 \, a^{2} d^{3} e^{5} f^{5} g^{3} + 70 \, a^{2} d^{4} e^{4} f^{4} g^{4} + 56 \, a^{2} d^{5} e^{3} f^{3} g^{5} + 28 \, a^{2} d^{6} e^{2} f^{2} g^{6} + 8 \, a^{2} d^{7} e f g^{7} + a^{2} d^{8} g^{8}}{d^{13} e^{3}}}}{d^{6} e^{2}}}}{d^{3} e}} \log\left(-d^{8} e^{2} \sqrt{-\frac{c e^{2} f^{2} + 2 \, c d e f g + c d^{2} g^{2} - d^{3} e \sqrt{\frac{b e^{4} f^{4} + 4 \, b d e^{3} f^{3} g + 6 \, b d^{2} e^{2} f^{2} g^{2} + 4 \, b d^{3} e f g^{3} + b d^{4} g^{4} - d^{6} e^{2} \sqrt{-\frac{a^{2} e^{8} f^{8} + 8 \, a^{2} d e^{7} f^{7} g + 28 \, a^{2} d^{2} e^{6} f^{6} g^{2} + 56 \, a^{2} d^{3} e^{5} f^{5} g^{3} + 70 \, a^{2} d^{4} e^{4} f^{4} g^{4} + 56 \, a^{2} d^{5} e^{3} f^{3} g^{5} + 28 \, a^{2} d^{6} e^{2} f^{2} g^{6} + 8 \, a^{2} d^{7} e f g^{7} + a^{2} d^{8} g^{8}}{d^{13} e^{3}}}}{d^{6} e^{2}}}}{d^{3} e}} \sqrt{-\frac{a^{2} e^{8} f^{8} + 8 \, a^{2} d e^{7} f^{7} g + 28 \, a^{2} d^{2} e^{6} f^{6} g^{2} + 56 \, a^{2} d^{3} e^{5} f^{5} g^{3} + 70 \, a^{2} d^{4} e^{4} f^{4} g^{4} + 56 \, a^{2} d^{5} e^{3} f^{3} g^{5} + 28 \, a^{2} d^{6} e^{2} f^{2} g^{6} + 8 \, a^{2} d^{7} e f g^{7} + a^{2} d^{8} g^{8}}{d^{13} e^{3}}} + {\left(a e^{5} f^{5} + 5 \, a d e^{4} f^{4} g + 10 \, a d^{2} e^{3} f^{3} g^{2} + 10 \, a d^{3} e^{2} f^{2} g^{3} + 5 \, a d^{4} e f g^{4} + a d^{5} g^{5}\right)} \sqrt{c + \sqrt{a x + b}}\right) + 8 \, {\left(3 \, a f x + \sqrt{a x + b} c f - {\left(2 \, c^{2} - 3 \, b\right)} f\right)} \sqrt{c + \sqrt{a x + b}}}{30 \, a d}"," ",0,"1/30*(15*a*d*sqrt(-(c*e^2*f^2 + 2*c*d*e*f*g + c*d^2*g^2 + d^3*e*sqrt((b*e^4*f^4 + 4*b*d*e^3*f^3*g + 6*b*d^2*e^2*f^2*g^2 + 4*b*d^3*e*f*g^3 + b*d^4*g^4 + d^6*e^2*sqrt(-(a^2*e^8*f^8 + 8*a^2*d*e^7*f^7*g + 28*a^2*d^2*e^6*f^6*g^2 + 56*a^2*d^3*e^5*f^5*g^3 + 70*a^2*d^4*e^4*f^4*g^4 + 56*a^2*d^5*e^3*f^3*g^5 + 28*a^2*d^6*e^2*f^2*g^6 + 8*a^2*d^7*e*f*g^7 + a^2*d^8*g^8)/(d^13*e^3)))/(d^6*e^2)))/(d^3*e))*log(d^8*e^2*sqrt(-(c*e^2*f^2 + 2*c*d*e*f*g + c*d^2*g^2 + d^3*e*sqrt((b*e^4*f^4 + 4*b*d*e^3*f^3*g + 6*b*d^2*e^2*f^2*g^2 + 4*b*d^3*e*f*g^3 + b*d^4*g^4 + d^6*e^2*sqrt(-(a^2*e^8*f^8 + 8*a^2*d*e^7*f^7*g + 28*a^2*d^2*e^6*f^6*g^2 + 56*a^2*d^3*e^5*f^5*g^3 + 70*a^2*d^4*e^4*f^4*g^4 + 56*a^2*d^5*e^3*f^3*g^5 + 28*a^2*d^6*e^2*f^2*g^6 + 8*a^2*d^7*e*f*g^7 + a^2*d^8*g^8)/(d^13*e^3)))/(d^6*e^2)))/(d^3*e))*sqrt(-(a^2*e^8*f^8 + 8*a^2*d*e^7*f^7*g + 28*a^2*d^2*e^6*f^6*g^2 + 56*a^2*d^3*e^5*f^5*g^3 + 70*a^2*d^4*e^4*f^4*g^4 + 56*a^2*d^5*e^3*f^3*g^5 + 28*a^2*d^6*e^2*f^2*g^6 + 8*a^2*d^7*e*f*g^7 + a^2*d^8*g^8)/(d^13*e^3)) + (a*e^5*f^5 + 5*a*d*e^4*f^4*g + 10*a*d^2*e^3*f^3*g^2 + 10*a*d^3*e^2*f^2*g^3 + 5*a*d^4*e*f*g^4 + a*d^5*g^5)*sqrt(c + sqrt(a*x + b))) - 15*a*d*sqrt(-(c*e^2*f^2 + 2*c*d*e*f*g + c*d^2*g^2 + d^3*e*sqrt((b*e^4*f^4 + 4*b*d*e^3*f^3*g + 6*b*d^2*e^2*f^2*g^2 + 4*b*d^3*e*f*g^3 + b*d^4*g^4 + d^6*e^2*sqrt(-(a^2*e^8*f^8 + 8*a^2*d*e^7*f^7*g + 28*a^2*d^2*e^6*f^6*g^2 + 56*a^2*d^3*e^5*f^5*g^3 + 70*a^2*d^4*e^4*f^4*g^4 + 56*a^2*d^5*e^3*f^3*g^5 + 28*a^2*d^6*e^2*f^2*g^6 + 8*a^2*d^7*e*f*g^7 + a^2*d^8*g^8)/(d^13*e^3)))/(d^6*e^2)))/(d^3*e))*log(-d^8*e^2*sqrt(-(c*e^2*f^2 + 2*c*d*e*f*g + c*d^2*g^2 + d^3*e*sqrt((b*e^4*f^4 + 4*b*d*e^3*f^3*g + 6*b*d^2*e^2*f^2*g^2 + 4*b*d^3*e*f*g^3 + b*d^4*g^4 + d^6*e^2*sqrt(-(a^2*e^8*f^8 + 8*a^2*d*e^7*f^7*g + 28*a^2*d^2*e^6*f^6*g^2 + 56*a^2*d^3*e^5*f^5*g^3 + 70*a^2*d^4*e^4*f^4*g^4 + 56*a^2*d^5*e^3*f^3*g^5 + 28*a^2*d^6*e^2*f^2*g^6 + 8*a^2*d^7*e*f*g^7 + a^2*d^8*g^8)/(d^13*e^3)))/(d^6*e^2)))/(d^3*e))*sqrt(-(a^2*e^8*f^8 + 8*a^2*d*e^7*f^7*g + 28*a^2*d^2*e^6*f^6*g^2 + 56*a^2*d^3*e^5*f^5*g^3 + 70*a^2*d^4*e^4*f^4*g^4 + 56*a^2*d^5*e^3*f^3*g^5 + 28*a^2*d^6*e^2*f^2*g^6 + 8*a^2*d^7*e*f*g^7 + a^2*d^8*g^8)/(d^13*e^3)) + (a*e^5*f^5 + 5*a*d*e^4*f^4*g + 10*a*d^2*e^3*f^3*g^2 + 10*a*d^3*e^2*f^2*g^3 + 5*a*d^4*e*f*g^4 + a*d^5*g^5)*sqrt(c + sqrt(a*x + b))) + 15*a*d*sqrt(-(c*e^2*f^2 + 2*c*d*e*f*g + c*d^2*g^2 - d^3*e*sqrt((b*e^4*f^4 + 4*b*d*e^3*f^3*g + 6*b*d^2*e^2*f^2*g^2 + 4*b*d^3*e*f*g^3 + b*d^4*g^4 + d^6*e^2*sqrt(-(a^2*e^8*f^8 + 8*a^2*d*e^7*f^7*g + 28*a^2*d^2*e^6*f^6*g^2 + 56*a^2*d^3*e^5*f^5*g^3 + 70*a^2*d^4*e^4*f^4*g^4 + 56*a^2*d^5*e^3*f^3*g^5 + 28*a^2*d^6*e^2*f^2*g^6 + 8*a^2*d^7*e*f*g^7 + a^2*d^8*g^8)/(d^13*e^3)))/(d^6*e^2)))/(d^3*e))*log(d^8*e^2*sqrt(-(c*e^2*f^2 + 2*c*d*e*f*g + c*d^2*g^2 - d^3*e*sqrt((b*e^4*f^4 + 4*b*d*e^3*f^3*g + 6*b*d^2*e^2*f^2*g^2 + 4*b*d^3*e*f*g^3 + b*d^4*g^4 + d^6*e^2*sqrt(-(a^2*e^8*f^8 + 8*a^2*d*e^7*f^7*g + 28*a^2*d^2*e^6*f^6*g^2 + 56*a^2*d^3*e^5*f^5*g^3 + 70*a^2*d^4*e^4*f^4*g^4 + 56*a^2*d^5*e^3*f^3*g^5 + 28*a^2*d^6*e^2*f^2*g^6 + 8*a^2*d^7*e*f*g^7 + a^2*d^8*g^8)/(d^13*e^3)))/(d^6*e^2)))/(d^3*e))*sqrt(-(a^2*e^8*f^8 + 8*a^2*d*e^7*f^7*g + 28*a^2*d^2*e^6*f^6*g^2 + 56*a^2*d^3*e^5*f^5*g^3 + 70*a^2*d^4*e^4*f^4*g^4 + 56*a^2*d^5*e^3*f^3*g^5 + 28*a^2*d^6*e^2*f^2*g^6 + 8*a^2*d^7*e*f*g^7 + a^2*d^8*g^8)/(d^13*e^3)) + (a*e^5*f^5 + 5*a*d*e^4*f^4*g + 10*a*d^2*e^3*f^3*g^2 + 10*a*d^3*e^2*f^2*g^3 + 5*a*d^4*e*f*g^4 + a*d^5*g^5)*sqrt(c + sqrt(a*x + b))) - 15*a*d*sqrt(-(c*e^2*f^2 + 2*c*d*e*f*g + c*d^2*g^2 - d^3*e*sqrt((b*e^4*f^4 + 4*b*d*e^3*f^3*g + 6*b*d^2*e^2*f^2*g^2 + 4*b*d^3*e*f*g^3 + b*d^4*g^4 + d^6*e^2*sqrt(-(a^2*e^8*f^8 + 8*a^2*d*e^7*f^7*g + 28*a^2*d^2*e^6*f^6*g^2 + 56*a^2*d^3*e^5*f^5*g^3 + 70*a^2*d^4*e^4*f^4*g^4 + 56*a^2*d^5*e^3*f^3*g^5 + 28*a^2*d^6*e^2*f^2*g^6 + 8*a^2*d^7*e*f*g^7 + a^2*d^8*g^8)/(d^13*e^3)))/(d^6*e^2)))/(d^3*e))*log(-d^8*e^2*sqrt(-(c*e^2*f^2 + 2*c*d*e*f*g + c*d^2*g^2 - d^3*e*sqrt((b*e^4*f^4 + 4*b*d*e^3*f^3*g + 6*b*d^2*e^2*f^2*g^2 + 4*b*d^3*e*f*g^3 + b*d^4*g^4 + d^6*e^2*sqrt(-(a^2*e^8*f^8 + 8*a^2*d*e^7*f^7*g + 28*a^2*d^2*e^6*f^6*g^2 + 56*a^2*d^3*e^5*f^5*g^3 + 70*a^2*d^4*e^4*f^4*g^4 + 56*a^2*d^5*e^3*f^3*g^5 + 28*a^2*d^6*e^2*f^2*g^6 + 8*a^2*d^7*e*f*g^7 + a^2*d^8*g^8)/(d^13*e^3)))/(d^6*e^2)))/(d^3*e))*sqrt(-(a^2*e^8*f^8 + 8*a^2*d*e^7*f^7*g + 28*a^2*d^2*e^6*f^6*g^2 + 56*a^2*d^3*e^5*f^5*g^3 + 70*a^2*d^4*e^4*f^4*g^4 + 56*a^2*d^5*e^3*f^3*g^5 + 28*a^2*d^6*e^2*f^2*g^6 + 8*a^2*d^7*e*f*g^7 + a^2*d^8*g^8)/(d^13*e^3)) + (a*e^5*f^5 + 5*a*d*e^4*f^4*g + 10*a*d^2*e^3*f^3*g^2 + 10*a*d^3*e^2*f^2*g^3 + 5*a*d^4*e*f*g^4 + a*d^5*g^5)*sqrt(c + sqrt(a*x + b))) - 15*a*d*sqrt(-(c*e^2*f^2 + 2*c*d*e*f*g + c*d^2*g^2 + d^3*e*sqrt((b*e^4*f^4 + 4*b*d*e^3*f^3*g + 6*b*d^2*e^2*f^2*g^2 + 4*b*d^3*e*f*g^3 + b*d^4*g^4 - d^6*e^2*sqrt(-(a^2*e^8*f^8 + 8*a^2*d*e^7*f^7*g + 28*a^2*d^2*e^6*f^6*g^2 + 56*a^2*d^3*e^5*f^5*g^3 + 70*a^2*d^4*e^4*f^4*g^4 + 56*a^2*d^5*e^3*f^3*g^5 + 28*a^2*d^6*e^2*f^2*g^6 + 8*a^2*d^7*e*f*g^7 + a^2*d^8*g^8)/(d^13*e^3)))/(d^6*e^2)))/(d^3*e))*log(d^8*e^2*sqrt(-(c*e^2*f^2 + 2*c*d*e*f*g + c*d^2*g^2 + d^3*e*sqrt((b*e^4*f^4 + 4*b*d*e^3*f^3*g + 6*b*d^2*e^2*f^2*g^2 + 4*b*d^3*e*f*g^3 + b*d^4*g^4 - d^6*e^2*sqrt(-(a^2*e^8*f^8 + 8*a^2*d*e^7*f^7*g + 28*a^2*d^2*e^6*f^6*g^2 + 56*a^2*d^3*e^5*f^5*g^3 + 70*a^2*d^4*e^4*f^4*g^4 + 56*a^2*d^5*e^3*f^3*g^5 + 28*a^2*d^6*e^2*f^2*g^6 + 8*a^2*d^7*e*f*g^7 + a^2*d^8*g^8)/(d^13*e^3)))/(d^6*e^2)))/(d^3*e))*sqrt(-(a^2*e^8*f^8 + 8*a^2*d*e^7*f^7*g + 28*a^2*d^2*e^6*f^6*g^2 + 56*a^2*d^3*e^5*f^5*g^3 + 70*a^2*d^4*e^4*f^4*g^4 + 56*a^2*d^5*e^3*f^3*g^5 + 28*a^2*d^6*e^2*f^2*g^6 + 8*a^2*d^7*e*f*g^7 + a^2*d^8*g^8)/(d^13*e^3)) + (a*e^5*f^5 + 5*a*d*e^4*f^4*g + 10*a*d^2*e^3*f^3*g^2 + 10*a*d^3*e^2*f^2*g^3 + 5*a*d^4*e*f*g^4 + a*d^5*g^5)*sqrt(c + sqrt(a*x + b))) + 15*a*d*sqrt(-(c*e^2*f^2 + 2*c*d*e*f*g + c*d^2*g^2 + d^3*e*sqrt((b*e^4*f^4 + 4*b*d*e^3*f^3*g + 6*b*d^2*e^2*f^2*g^2 + 4*b*d^3*e*f*g^3 + b*d^4*g^4 - d^6*e^2*sqrt(-(a^2*e^8*f^8 + 8*a^2*d*e^7*f^7*g + 28*a^2*d^2*e^6*f^6*g^2 + 56*a^2*d^3*e^5*f^5*g^3 + 70*a^2*d^4*e^4*f^4*g^4 + 56*a^2*d^5*e^3*f^3*g^5 + 28*a^2*d^6*e^2*f^2*g^6 + 8*a^2*d^7*e*f*g^7 + a^2*d^8*g^8)/(d^13*e^3)))/(d^6*e^2)))/(d^3*e))*log(-d^8*e^2*sqrt(-(c*e^2*f^2 + 2*c*d*e*f*g + c*d^2*g^2 + d^3*e*sqrt((b*e^4*f^4 + 4*b*d*e^3*f^3*g + 6*b*d^2*e^2*f^2*g^2 + 4*b*d^3*e*f*g^3 + b*d^4*g^4 - d^6*e^2*sqrt(-(a^2*e^8*f^8 + 8*a^2*d*e^7*f^7*g + 28*a^2*d^2*e^6*f^6*g^2 + 56*a^2*d^3*e^5*f^5*g^3 + 70*a^2*d^4*e^4*f^4*g^4 + 56*a^2*d^5*e^3*f^3*g^5 + 28*a^2*d^6*e^2*f^2*g^6 + 8*a^2*d^7*e*f*g^7 + a^2*d^8*g^8)/(d^13*e^3)))/(d^6*e^2)))/(d^3*e))*sqrt(-(a^2*e^8*f^8 + 8*a^2*d*e^7*f^7*g + 28*a^2*d^2*e^6*f^6*g^2 + 56*a^2*d^3*e^5*f^5*g^3 + 70*a^2*d^4*e^4*f^4*g^4 + 56*a^2*d^5*e^3*f^3*g^5 + 28*a^2*d^6*e^2*f^2*g^6 + 8*a^2*d^7*e*f*g^7 + a^2*d^8*g^8)/(d^13*e^3)) + (a*e^5*f^5 + 5*a*d*e^4*f^4*g + 10*a*d^2*e^3*f^3*g^2 + 10*a*d^3*e^2*f^2*g^3 + 5*a*d^4*e*f*g^4 + a*d^5*g^5)*sqrt(c + sqrt(a*x + b))) - 15*a*d*sqrt(-(c*e^2*f^2 + 2*c*d*e*f*g + c*d^2*g^2 - d^3*e*sqrt((b*e^4*f^4 + 4*b*d*e^3*f^3*g + 6*b*d^2*e^2*f^2*g^2 + 4*b*d^3*e*f*g^3 + b*d^4*g^4 - d^6*e^2*sqrt(-(a^2*e^8*f^8 + 8*a^2*d*e^7*f^7*g + 28*a^2*d^2*e^6*f^6*g^2 + 56*a^2*d^3*e^5*f^5*g^3 + 70*a^2*d^4*e^4*f^4*g^4 + 56*a^2*d^5*e^3*f^3*g^5 + 28*a^2*d^6*e^2*f^2*g^6 + 8*a^2*d^7*e*f*g^7 + a^2*d^8*g^8)/(d^13*e^3)))/(d^6*e^2)))/(d^3*e))*log(d^8*e^2*sqrt(-(c*e^2*f^2 + 2*c*d*e*f*g + c*d^2*g^2 - d^3*e*sqrt((b*e^4*f^4 + 4*b*d*e^3*f^3*g + 6*b*d^2*e^2*f^2*g^2 + 4*b*d^3*e*f*g^3 + b*d^4*g^4 - d^6*e^2*sqrt(-(a^2*e^8*f^8 + 8*a^2*d*e^7*f^7*g + 28*a^2*d^2*e^6*f^6*g^2 + 56*a^2*d^3*e^5*f^5*g^3 + 70*a^2*d^4*e^4*f^4*g^4 + 56*a^2*d^5*e^3*f^3*g^5 + 28*a^2*d^6*e^2*f^2*g^6 + 8*a^2*d^7*e*f*g^7 + a^2*d^8*g^8)/(d^13*e^3)))/(d^6*e^2)))/(d^3*e))*sqrt(-(a^2*e^8*f^8 + 8*a^2*d*e^7*f^7*g + 28*a^2*d^2*e^6*f^6*g^2 + 56*a^2*d^3*e^5*f^5*g^3 + 70*a^2*d^4*e^4*f^4*g^4 + 56*a^2*d^5*e^3*f^3*g^5 + 28*a^2*d^6*e^2*f^2*g^6 + 8*a^2*d^7*e*f*g^7 + a^2*d^8*g^8)/(d^13*e^3)) + (a*e^5*f^5 + 5*a*d*e^4*f^4*g + 10*a*d^2*e^3*f^3*g^2 + 10*a*d^3*e^2*f^2*g^3 + 5*a*d^4*e*f*g^4 + a*d^5*g^5)*sqrt(c + sqrt(a*x + b))) + 15*a*d*sqrt(-(c*e^2*f^2 + 2*c*d*e*f*g + c*d^2*g^2 - d^3*e*sqrt((b*e^4*f^4 + 4*b*d*e^3*f^3*g + 6*b*d^2*e^2*f^2*g^2 + 4*b*d^3*e*f*g^3 + b*d^4*g^4 - d^6*e^2*sqrt(-(a^2*e^8*f^8 + 8*a^2*d*e^7*f^7*g + 28*a^2*d^2*e^6*f^6*g^2 + 56*a^2*d^3*e^5*f^5*g^3 + 70*a^2*d^4*e^4*f^4*g^4 + 56*a^2*d^5*e^3*f^3*g^5 + 28*a^2*d^6*e^2*f^2*g^6 + 8*a^2*d^7*e*f*g^7 + a^2*d^8*g^8)/(d^13*e^3)))/(d^6*e^2)))/(d^3*e))*log(-d^8*e^2*sqrt(-(c*e^2*f^2 + 2*c*d*e*f*g + c*d^2*g^2 - d^3*e*sqrt((b*e^4*f^4 + 4*b*d*e^3*f^3*g + 6*b*d^2*e^2*f^2*g^2 + 4*b*d^3*e*f*g^3 + b*d^4*g^4 - d^6*e^2*sqrt(-(a^2*e^8*f^8 + 8*a^2*d*e^7*f^7*g + 28*a^2*d^2*e^6*f^6*g^2 + 56*a^2*d^3*e^5*f^5*g^3 + 70*a^2*d^4*e^4*f^4*g^4 + 56*a^2*d^5*e^3*f^3*g^5 + 28*a^2*d^6*e^2*f^2*g^6 + 8*a^2*d^7*e*f*g^7 + a^2*d^8*g^8)/(d^13*e^3)))/(d^6*e^2)))/(d^3*e))*sqrt(-(a^2*e^8*f^8 + 8*a^2*d*e^7*f^7*g + 28*a^2*d^2*e^6*f^6*g^2 + 56*a^2*d^3*e^5*f^5*g^3 + 70*a^2*d^4*e^4*f^4*g^4 + 56*a^2*d^5*e^3*f^3*g^5 + 28*a^2*d^6*e^2*f^2*g^6 + 8*a^2*d^7*e*f*g^7 + a^2*d^8*g^8)/(d^13*e^3)) + (a*e^5*f^5 + 5*a*d*e^4*f^4*g + 10*a*d^2*e^3*f^3*g^2 + 10*a*d^3*e^2*f^2*g^3 + 5*a*d^4*e*f*g^4 + a*d^5*g^5)*sqrt(c + sqrt(a*x + b))) + 8*(3*a*f*x + sqrt(a*x + b)*c*f - (2*c^2 - 3*b)*f)*sqrt(c + sqrt(a*x + b)))/(a*d)","B",0
2536,-1,0,0,0.000000," ","integrate((a^2*x^2+b^2)^(1/2)/(d+c*x^2+(a*x+(a^2*x^2+b^2)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2537,-1,0,0,0.000000," ","integrate((a^2*x^2+b^2)^(1/2)/(d+c*x^2+(a*x+(a^2*x^2+b^2)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2538,1,75,0,0.933508," ","integrate((1-(1-(1-1/x)^(1/2))^(1/2))^(1/2)/x^2,x, algorithm=""fricas"")","\frac{8 \, {\left({\left(5 \, x \sqrt{\frac{x - 1}{x}} + 8 \, x\right)} \sqrt{-\sqrt{\frac{x - 1}{x}} + 1} - x \sqrt{\frac{x - 1}{x}} + 27 \, x - 35\right)} \sqrt{-\sqrt{-\sqrt{\frac{x - 1}{x}} + 1} + 1}}{315 \, x}"," ",0,"8/315*((5*x*sqrt((x - 1)/x) + 8*x)*sqrt(-sqrt((x - 1)/x) + 1) - x*sqrt((x - 1)/x) + 27*x - 35)*sqrt(-sqrt(-sqrt((x - 1)/x) + 1) + 1)/x","A",0
2539,1,326,0,2.816307," ","integrate((x^4+x^2)^(1/3)/x/(x^2-1),x, algorithm=""fricas"")","\frac{1}{12} \cdot 4^{\frac{1}{6}} \sqrt{3} \arctan\left(-\frac{4^{\frac{1}{6}} \sqrt{3} {\left(6 \cdot 4^{\frac{2}{3}} {\left(x^{10} + 33 \, x^{8} + 110 \, x^{6} + 110 \, x^{4} + 33 \, x^{2} + 1\right)} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} - 48 \, {\left(x^{8} + 2 \, x^{6} - 6 \, x^{4} + 2 \, x^{2} + 1\right)} {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} - 4^{\frac{1}{3}} {\left(x^{12} - 42 \, x^{10} - 417 \, x^{8} - 812 \, x^{6} - 417 \, x^{4} - 42 \, x^{2} + 1\right)}\right)}}{6 \, {\left(x^{12} + 102 \, x^{10} + 447 \, x^{8} + 628 \, x^{6} + 447 \, x^{4} + 102 \, x^{2} + 1\right)}}\right) - \frac{1}{48} \cdot 4^{\frac{2}{3}} \log\left(\frac{24 \cdot 4^{\frac{1}{3}} {\left(x^{4} + 4 \, x^{2} + 1\right)} {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} + 4^{\frac{2}{3}} {\left(x^{8} + 32 \, x^{6} + 78 \, x^{4} + 32 \, x^{2} + 1\right)} + 12 \, {\left(x^{6} + 11 \, x^{4} + 11 \, x^{2} + 1\right)} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}}}{x^{8} - 4 \, x^{6} + 6 \, x^{4} - 4 \, x^{2} + 1}\right) + \frac{1}{24} \cdot 4^{\frac{2}{3}} \log\left(-\frac{3 \cdot 4^{\frac{2}{3}} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{2} + 1\right)} - 4^{\frac{1}{3}} {\left(x^{4} - 2 \, x^{2} + 1\right)} - 12 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}}}{x^{4} - 2 \, x^{2} + 1}\right)"," ",0,"1/12*4^(1/6)*sqrt(3)*arctan(-1/6*4^(1/6)*sqrt(3)*(6*4^(2/3)*(x^10 + 33*x^8 + 110*x^6 + 110*x^4 + 33*x^2 + 1)*(x^4 + x^2)^(1/3) - 48*(x^8 + 2*x^6 - 6*x^4 + 2*x^2 + 1)*(x^4 + x^2)^(2/3) - 4^(1/3)*(x^12 - 42*x^10 - 417*x^8 - 812*x^6 - 417*x^4 - 42*x^2 + 1))/(x^12 + 102*x^10 + 447*x^8 + 628*x^6 + 447*x^4 + 102*x^2 + 1)) - 1/48*4^(2/3)*log((24*4^(1/3)*(x^4 + 4*x^2 + 1)*(x^4 + x^2)^(2/3) + 4^(2/3)*(x^8 + 32*x^6 + 78*x^4 + 32*x^2 + 1) + 12*(x^6 + 11*x^4 + 11*x^2 + 1)*(x^4 + x^2)^(1/3))/(x^8 - 4*x^6 + 6*x^4 - 4*x^2 + 1)) + 1/24*4^(2/3)*log(-(3*4^(2/3)*(x^4 + x^2)^(1/3)*(x^2 + 1) - 4^(1/3)*(x^4 - 2*x^2 + 1) - 12*(x^4 + x^2)^(2/3))/(x^4 - 2*x^2 + 1))","B",0
2540,1,877,0,0.789709," ","integrate(1/(d*x+c)/(a^2*x^2+b)^(1/2)/(a*x-(a^2*x^2+b)^(1/2))^(1/2),x, algorithm=""fricas"")","\sqrt{\frac{a c + \frac{a^{2} b c^{2} d + b^{2} d^{3}}{\sqrt{a^{2} b^{2} c^{2} d^{2} + b^{3} d^{4}}}}{a^{2} b c^{2} d + b^{2} d^{3}}} \log\left(2 \, \sqrt{a x - \sqrt{a^{2} x^{2} + b}} d + 2 \, {\left(a^{2} c^{2} + b d^{2} - \frac{a^{3} b c^{3} d + a b^{2} c d^{3}}{\sqrt{a^{2} b^{2} c^{2} d^{2} + b^{3} d^{4}}}\right)} \sqrt{\frac{a c + \frac{a^{2} b c^{2} d + b^{2} d^{3}}{\sqrt{a^{2} b^{2} c^{2} d^{2} + b^{3} d^{4}}}}{a^{2} b c^{2} d + b^{2} d^{3}}}\right) - \sqrt{\frac{a c + \frac{a^{2} b c^{2} d + b^{2} d^{3}}{\sqrt{a^{2} b^{2} c^{2} d^{2} + b^{3} d^{4}}}}{a^{2} b c^{2} d + b^{2} d^{3}}} \log\left(2 \, \sqrt{a x - \sqrt{a^{2} x^{2} + b}} d - 2 \, {\left(a^{2} c^{2} + b d^{2} - \frac{a^{3} b c^{3} d + a b^{2} c d^{3}}{\sqrt{a^{2} b^{2} c^{2} d^{2} + b^{3} d^{4}}}\right)} \sqrt{\frac{a c + \frac{a^{2} b c^{2} d + b^{2} d^{3}}{\sqrt{a^{2} b^{2} c^{2} d^{2} + b^{3} d^{4}}}}{a^{2} b c^{2} d + b^{2} d^{3}}}\right) + \sqrt{\frac{a c - \frac{a^{2} b c^{2} d + b^{2} d^{3}}{\sqrt{a^{2} b^{2} c^{2} d^{2} + b^{3} d^{4}}}}{a^{2} b c^{2} d + b^{2} d^{3}}} \log\left(2 \, \sqrt{a x - \sqrt{a^{2} x^{2} + b}} d + 2 \, {\left(a^{2} c^{2} + b d^{2} + \frac{a^{3} b c^{3} d + a b^{2} c d^{3}}{\sqrt{a^{2} b^{2} c^{2} d^{2} + b^{3} d^{4}}}\right)} \sqrt{\frac{a c - \frac{a^{2} b c^{2} d + b^{2} d^{3}}{\sqrt{a^{2} b^{2} c^{2} d^{2} + b^{3} d^{4}}}}{a^{2} b c^{2} d + b^{2} d^{3}}}\right) - \sqrt{\frac{a c - \frac{a^{2} b c^{2} d + b^{2} d^{3}}{\sqrt{a^{2} b^{2} c^{2} d^{2} + b^{3} d^{4}}}}{a^{2} b c^{2} d + b^{2} d^{3}}} \log\left(2 \, \sqrt{a x - \sqrt{a^{2} x^{2} + b}} d - 2 \, {\left(a^{2} c^{2} + b d^{2} + \frac{a^{3} b c^{3} d + a b^{2} c d^{3}}{\sqrt{a^{2} b^{2} c^{2} d^{2} + b^{3} d^{4}}}\right)} \sqrt{\frac{a c - \frac{a^{2} b c^{2} d + b^{2} d^{3}}{\sqrt{a^{2} b^{2} c^{2} d^{2} + b^{3} d^{4}}}}{a^{2} b c^{2} d + b^{2} d^{3}}}\right)"," ",0,"sqrt((a*c + (a^2*b*c^2*d + b^2*d^3)/sqrt(a^2*b^2*c^2*d^2 + b^3*d^4))/(a^2*b*c^2*d + b^2*d^3))*log(2*sqrt(a*x - sqrt(a^2*x^2 + b))*d + 2*(a^2*c^2 + b*d^2 - (a^3*b*c^3*d + a*b^2*c*d^3)/sqrt(a^2*b^2*c^2*d^2 + b^3*d^4))*sqrt((a*c + (a^2*b*c^2*d + b^2*d^3)/sqrt(a^2*b^2*c^2*d^2 + b^3*d^4))/(a^2*b*c^2*d + b^2*d^3))) - sqrt((a*c + (a^2*b*c^2*d + b^2*d^3)/sqrt(a^2*b^2*c^2*d^2 + b^3*d^4))/(a^2*b*c^2*d + b^2*d^3))*log(2*sqrt(a*x - sqrt(a^2*x^2 + b))*d - 2*(a^2*c^2 + b*d^2 - (a^3*b*c^3*d + a*b^2*c*d^3)/sqrt(a^2*b^2*c^2*d^2 + b^3*d^4))*sqrt((a*c + (a^2*b*c^2*d + b^2*d^3)/sqrt(a^2*b^2*c^2*d^2 + b^3*d^4))/(a^2*b*c^2*d + b^2*d^3))) + sqrt((a*c - (a^2*b*c^2*d + b^2*d^3)/sqrt(a^2*b^2*c^2*d^2 + b^3*d^4))/(a^2*b*c^2*d + b^2*d^3))*log(2*sqrt(a*x - sqrt(a^2*x^2 + b))*d + 2*(a^2*c^2 + b*d^2 + (a^3*b*c^3*d + a*b^2*c*d^3)/sqrt(a^2*b^2*c^2*d^2 + b^3*d^4))*sqrt((a*c - (a^2*b*c^2*d + b^2*d^3)/sqrt(a^2*b^2*c^2*d^2 + b^3*d^4))/(a^2*b*c^2*d + b^2*d^3))) - sqrt((a*c - (a^2*b*c^2*d + b^2*d^3)/sqrt(a^2*b^2*c^2*d^2 + b^3*d^4))/(a^2*b*c^2*d + b^2*d^3))*log(2*sqrt(a*x - sqrt(a^2*x^2 + b))*d - 2*(a^2*c^2 + b*d^2 + (a^3*b*c^3*d + a*b^2*c*d^3)/sqrt(a^2*b^2*c^2*d^2 + b^3*d^4))*sqrt((a*c - (a^2*b*c^2*d + b^2*d^3)/sqrt(a^2*b^2*c^2*d^2 + b^3*d^4))/(a^2*b*c^2*d + b^2*d^3)))","B",0
2541,1,255,0,0.909927," ","integrate((1+x)^(1/2)*(1+(1+x)^(1/2))^(1/2)/x^2/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{4 \, x \sqrt{25 \, \sqrt{2} + 17} \arctan\left(\frac{1}{31} \, \sqrt{25 \, \sqrt{2} + 17} {\left(4 \, \sqrt{2} + 1\right)} \sqrt{\sqrt{2} + \sqrt{\sqrt{x + 1} + 1}} - \frac{1}{31} \, \sqrt{25 \, \sqrt{2} + 17} {\left(4 \, \sqrt{2} + 1\right)} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) - x \sqrt{25 \, \sqrt{2} - 17} \log\left(\sqrt{25 \, \sqrt{2} - 17} {\left(3 \, \sqrt{2} + 7\right)} + 31 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) + x \sqrt{25 \, \sqrt{2} - 17} \log\left(-\sqrt{25 \, \sqrt{2} - 17} {\left(3 \, \sqrt{2} + 7\right)} + 31 \, \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}\right) + 4 \, x \log\left(\sqrt{\sqrt{\sqrt{x + 1} + 1} + 1} + 1\right) - 4 \, x \log\left(\sqrt{\sqrt{\sqrt{x + 1} + 1} + 1} - 1\right) - 4 \, {\left(\sqrt{\sqrt{x + 1} + 1} {\left(\sqrt{x + 1} - 3\right)} + 2 \, \sqrt{x + 1} + 2\right)} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}{8 \, x}"," ",0,"1/8*(4*x*sqrt(25*sqrt(2) + 17)*arctan(1/31*sqrt(25*sqrt(2) + 17)*(4*sqrt(2) + 1)*sqrt(sqrt(2) + sqrt(sqrt(x + 1) + 1)) - 1/31*sqrt(25*sqrt(2) + 17)*(4*sqrt(2) + 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) - x*sqrt(25*sqrt(2) - 17)*log(sqrt(25*sqrt(2) - 17)*(3*sqrt(2) + 7) + 31*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) + x*sqrt(25*sqrt(2) - 17)*log(-sqrt(25*sqrt(2) - 17)*(3*sqrt(2) + 7) + 31*sqrt(sqrt(sqrt(x + 1) + 1) + 1)) + 4*x*log(sqrt(sqrt(sqrt(x + 1) + 1) + 1) + 1) - 4*x*log(sqrt(sqrt(sqrt(x + 1) + 1) + 1) - 1) - 4*(sqrt(sqrt(x + 1) + 1)*(sqrt(x + 1) - 3) + 2*sqrt(x + 1) + 2)*sqrt(sqrt(sqrt(x + 1) + 1) + 1))/x","A",0
2542,-1,0,0,0.000000," ","integrate((-1+(2-k)*x)/((1-x)*x*(-k*x+1))^(1/3)/(b-(2*b*k+1)*x+(b*k^2+1)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2543,1,870,0,0.584097," ","integrate(1/x^6/(x^3-1)/(x^3+x^2)^(1/3),x, algorithm=""fricas"")","\frac{52360 \, x^{7} \cos\left(\frac{1}{9} \, \pi\right) \log\left(\frac{16 \, {\left(x^{2} - {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) + 2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x\right)} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - 209440 \, x^{7} \arctan\left(\frac{8 \, {\left(2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{3} - x \cos\left(\frac{1}{9} \, \pi\right)\right)} \sin\left(\frac{1}{9} \, \pi\right) + \sqrt{3} x + 2 \, {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right)^{2} + 2 \, x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3} x\right)} \sqrt{\frac{x^{2} - {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) + 2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x\right)} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} \cos\left(\frac{1}{9} \, \pi\right)^{2} + 2 \, \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3}\right)}}{16 \, x \cos\left(\frac{1}{9} \, \pi\right)^{4} - 16 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} + 3 \, x}\right) \sin\left(\frac{1}{9} \, \pi\right) + 26180 \, \sqrt{6} 2^{\frac{1}{6}} x^{7} \arctan\left(\frac{2^{\frac{1}{6}} {\left(\sqrt{6} 2^{\frac{1}{3}} x + 2 \, \sqrt{6} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}\right)}}{6 \, x}\right) + 26180 \cdot 2^{\frac{2}{3}} x^{7} \log\left(-\frac{2^{\frac{1}{3}} x - {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) - 13090 \cdot 2^{\frac{2}{3}} x^{7} \log\left(\frac{2^{\frac{2}{3}} x^{2} + 2^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) + 104720 \, {\left(\sqrt{3} x^{7} \cos\left(\frac{1}{9} \, \pi\right) + x^{7} \sin\left(\frac{1}{9} \, \pi\right)\right)} \arctan\left(\frac{8 \, {\left(2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{3} - x \cos\left(\frac{1}{9} \, \pi\right)\right)} \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3} x - 2 \, {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right)^{2} - 2 \, x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3} x\right)} \sqrt{\frac{x^{2} + {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - 2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} + x\right)} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 2 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} \cos\left(\frac{1}{9} \, \pi\right)^{2} - 2 \, \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3}\right)}}{16 \, x \cos\left(\frac{1}{9} \, \pi\right)^{4} - 16 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} + 3 \, x}\right) - 104720 \, {\left(\sqrt{3} x^{7} \cos\left(\frac{1}{9} \, \pi\right) - x^{7} \sin\left(\frac{1}{9} \, \pi\right)\right)} \arctan\left(-\frac{2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x \sqrt{\frac{x^{2} + 2 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x\right)} + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - x + {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{2 \, x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right)}\right) + 26180 \, {\left(\sqrt{3} x^{7} \sin\left(\frac{1}{9} \, \pi\right) - x^{7} \cos\left(\frac{1}{9} \, \pi\right)\right)} \log\left(\frac{64 \, {\left(x^{2} + {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - 2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} + x\right)} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - 26180 \, {\left(\sqrt{3} x^{7} \sin\left(\frac{1}{9} \, \pi\right) + x^{7} \cos\left(\frac{1}{9} \, \pi\right)\right)} \log\left(\frac{64 \, {\left(x^{2} + 2 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x\right)} + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + 9 \, {\left(4491 \, x^{5} - 2994 \, x^{4} + 2495 \, x^{3} + 3600 \, x^{2} - 3300 \, x + 3080\right)} {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{157080 \, x^{7}}"," ",0,"1/157080*(52360*x^7*cos(1/9*pi)*log(16*(x^2 - (2*sqrt(3)*x*cos(1/9*pi)*sin(1/9*pi) + 2*x*cos(1/9*pi)^2 - x)*(x^3 + x^2)^(1/3) + (x^3 + x^2)^(2/3))/x^2) - 209440*x^7*arctan((8*(2*x*cos(1/9*pi)^3 - x*cos(1/9*pi))*sin(1/9*pi) + sqrt(3)*x + 2*(2*sqrt(3)*x*cos(1/9*pi)^2 + 2*x*cos(1/9*pi)*sin(1/9*pi) - sqrt(3)*x)*sqrt((x^2 - (2*sqrt(3)*x*cos(1/9*pi)*sin(1/9*pi) + 2*x*cos(1/9*pi)^2 - x)*(x^3 + x^2)^(1/3) + (x^3 + x^2)^(2/3))/x^2) - 2*(x^3 + x^2)^(1/3)*(2*sqrt(3)*cos(1/9*pi)^2 + 2*cos(1/9*pi)*sin(1/9*pi) - sqrt(3)))/(16*x*cos(1/9*pi)^4 - 16*x*cos(1/9*pi)^2 + 3*x))*sin(1/9*pi) + 26180*sqrt(6)*2^(1/6)*x^7*arctan(1/6*2^(1/6)*(sqrt(6)*2^(1/3)*x + 2*sqrt(6)*(x^3 + x^2)^(1/3))/x) + 26180*2^(2/3)*x^7*log(-(2^(1/3)*x - (x^3 + x^2)^(1/3))/x) - 13090*2^(2/3)*x^7*log((2^(2/3)*x^2 + 2^(1/3)*(x^3 + x^2)^(1/3)*x + (x^3 + x^2)^(2/3))/x^2) + 104720*(sqrt(3)*x^7*cos(1/9*pi) + x^7*sin(1/9*pi))*arctan((8*(2*x*cos(1/9*pi)^3 - x*cos(1/9*pi))*sin(1/9*pi) - sqrt(3)*x - 2*(2*sqrt(3)*x*cos(1/9*pi)^2 - 2*x*cos(1/9*pi)*sin(1/9*pi) - sqrt(3)*x)*sqrt((x^2 + (2*sqrt(3)*x*cos(1/9*pi)*sin(1/9*pi) - 2*x*cos(1/9*pi)^2 + x)*(x^3 + x^2)^(1/3) + (x^3 + x^2)^(2/3))/x^2) + 2*(x^3 + x^2)^(1/3)*(2*sqrt(3)*cos(1/9*pi)^2 - 2*cos(1/9*pi)*sin(1/9*pi) - sqrt(3)))/(16*x*cos(1/9*pi)^4 - 16*x*cos(1/9*pi)^2 + 3*x)) - 104720*(sqrt(3)*x^7*cos(1/9*pi) - x^7*sin(1/9*pi))*arctan(-1/2*(2*x*cos(1/9*pi)^2 - x*sqrt((x^2 + 2*(x^3 + x^2)^(1/3)*(2*x*cos(1/9*pi)^2 - x) + (x^3 + x^2)^(2/3))/x^2) - x + (x^3 + x^2)^(1/3))/(x*cos(1/9*pi)*sin(1/9*pi))) + 26180*(sqrt(3)*x^7*sin(1/9*pi) - x^7*cos(1/9*pi))*log(64*(x^2 + (2*sqrt(3)*x*cos(1/9*pi)*sin(1/9*pi) - 2*x*cos(1/9*pi)^2 + x)*(x^3 + x^2)^(1/3) + (x^3 + x^2)^(2/3))/x^2) - 26180*(sqrt(3)*x^7*sin(1/9*pi) + x^7*cos(1/9*pi))*log(64*(x^2 + 2*(x^3 + x^2)^(1/3)*(2*x*cos(1/9*pi)^2 - x) + (x^3 + x^2)^(2/3))/x^2) + 9*(4491*x^5 - 2994*x^4 + 2495*x^3 + 3600*x^2 - 3300*x + 3080)*(x^3 + x^2)^(2/3))/x^7","B",0
2544,1,870,0,0.562135," ","integrate(1/x^6/(x^3-1)/(x^3+x^2)^(1/3),x, algorithm=""fricas"")","\frac{52360 \, x^{7} \cos\left(\frac{1}{9} \, \pi\right) \log\left(\frac{16 \, {\left(x^{2} - {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) + 2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x\right)} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - 209440 \, x^{7} \arctan\left(\frac{8 \, {\left(2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{3} - x \cos\left(\frac{1}{9} \, \pi\right)\right)} \sin\left(\frac{1}{9} \, \pi\right) + \sqrt{3} x + 2 \, {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right)^{2} + 2 \, x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3} x\right)} \sqrt{\frac{x^{2} - {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) + 2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x\right)} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} \cos\left(\frac{1}{9} \, \pi\right)^{2} + 2 \, \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3}\right)}}{16 \, x \cos\left(\frac{1}{9} \, \pi\right)^{4} - 16 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} + 3 \, x}\right) \sin\left(\frac{1}{9} \, \pi\right) + 26180 \, \sqrt{6} 2^{\frac{1}{6}} x^{7} \arctan\left(\frac{2^{\frac{1}{6}} {\left(\sqrt{6} 2^{\frac{1}{3}} x + 2 \, \sqrt{6} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}\right)}}{6 \, x}\right) + 26180 \cdot 2^{\frac{2}{3}} x^{7} \log\left(-\frac{2^{\frac{1}{3}} x - {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) - 13090 \cdot 2^{\frac{2}{3}} x^{7} \log\left(\frac{2^{\frac{2}{3}} x^{2} + 2^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) + 104720 \, {\left(\sqrt{3} x^{7} \cos\left(\frac{1}{9} \, \pi\right) + x^{7} \sin\left(\frac{1}{9} \, \pi\right)\right)} \arctan\left(\frac{8 \, {\left(2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{3} - x \cos\left(\frac{1}{9} \, \pi\right)\right)} \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3} x - 2 \, {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right)^{2} - 2 \, x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3} x\right)} \sqrt{\frac{x^{2} + {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - 2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} + x\right)} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 2 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} \cos\left(\frac{1}{9} \, \pi\right)^{2} - 2 \, \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - \sqrt{3}\right)}}{16 \, x \cos\left(\frac{1}{9} \, \pi\right)^{4} - 16 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} + 3 \, x}\right) - 104720 \, {\left(\sqrt{3} x^{7} \cos\left(\frac{1}{9} \, \pi\right) - x^{7} \sin\left(\frac{1}{9} \, \pi\right)\right)} \arctan\left(-\frac{2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x \sqrt{\frac{x^{2} + 2 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x\right)} + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - x + {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{2 \, x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right)}\right) + 26180 \, {\left(\sqrt{3} x^{7} \sin\left(\frac{1}{9} \, \pi\right) - x^{7} \cos\left(\frac{1}{9} \, \pi\right)\right)} \log\left(\frac{64 \, {\left(x^{2} + {\left(2 \, \sqrt{3} x \cos\left(\frac{1}{9} \, \pi\right) \sin\left(\frac{1}{9} \, \pi\right) - 2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} + x\right)} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - 26180 \, {\left(\sqrt{3} x^{7} \sin\left(\frac{1}{9} \, \pi\right) + x^{7} \cos\left(\frac{1}{9} \, \pi\right)\right)} \log\left(\frac{64 \, {\left(x^{2} + 2 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, x \cos\left(\frac{1}{9} \, \pi\right)^{2} - x\right)} + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + 9 \, {\left(4491 \, x^{5} - 2994 \, x^{4} + 2495 \, x^{3} + 3600 \, x^{2} - 3300 \, x + 3080\right)} {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{157080 \, x^{7}}"," ",0,"1/157080*(52360*x^7*cos(1/9*pi)*log(16*(x^2 - (2*sqrt(3)*x*cos(1/9*pi)*sin(1/9*pi) + 2*x*cos(1/9*pi)^2 - x)*(x^3 + x^2)^(1/3) + (x^3 + x^2)^(2/3))/x^2) - 209440*x^7*arctan((8*(2*x*cos(1/9*pi)^3 - x*cos(1/9*pi))*sin(1/9*pi) + sqrt(3)*x + 2*(2*sqrt(3)*x*cos(1/9*pi)^2 + 2*x*cos(1/9*pi)*sin(1/9*pi) - sqrt(3)*x)*sqrt((x^2 - (2*sqrt(3)*x*cos(1/9*pi)*sin(1/9*pi) + 2*x*cos(1/9*pi)^2 - x)*(x^3 + x^2)^(1/3) + (x^3 + x^2)^(2/3))/x^2) - 2*(x^3 + x^2)^(1/3)*(2*sqrt(3)*cos(1/9*pi)^2 + 2*cos(1/9*pi)*sin(1/9*pi) - sqrt(3)))/(16*x*cos(1/9*pi)^4 - 16*x*cos(1/9*pi)^2 + 3*x))*sin(1/9*pi) + 26180*sqrt(6)*2^(1/6)*x^7*arctan(1/6*2^(1/6)*(sqrt(6)*2^(1/3)*x + 2*sqrt(6)*(x^3 + x^2)^(1/3))/x) + 26180*2^(2/3)*x^7*log(-(2^(1/3)*x - (x^3 + x^2)^(1/3))/x) - 13090*2^(2/3)*x^7*log((2^(2/3)*x^2 + 2^(1/3)*(x^3 + x^2)^(1/3)*x + (x^3 + x^2)^(2/3))/x^2) + 104720*(sqrt(3)*x^7*cos(1/9*pi) + x^7*sin(1/9*pi))*arctan((8*(2*x*cos(1/9*pi)^3 - x*cos(1/9*pi))*sin(1/9*pi) - sqrt(3)*x - 2*(2*sqrt(3)*x*cos(1/9*pi)^2 - 2*x*cos(1/9*pi)*sin(1/9*pi) - sqrt(3)*x)*sqrt((x^2 + (2*sqrt(3)*x*cos(1/9*pi)*sin(1/9*pi) - 2*x*cos(1/9*pi)^2 + x)*(x^3 + x^2)^(1/3) + (x^3 + x^2)^(2/3))/x^2) + 2*(x^3 + x^2)^(1/3)*(2*sqrt(3)*cos(1/9*pi)^2 - 2*cos(1/9*pi)*sin(1/9*pi) - sqrt(3)))/(16*x*cos(1/9*pi)^4 - 16*x*cos(1/9*pi)^2 + 3*x)) - 104720*(sqrt(3)*x^7*cos(1/9*pi) - x^7*sin(1/9*pi))*arctan(-1/2*(2*x*cos(1/9*pi)^2 - x*sqrt((x^2 + 2*(x^3 + x^2)^(1/3)*(2*x*cos(1/9*pi)^2 - x) + (x^3 + x^2)^(2/3))/x^2) - x + (x^3 + x^2)^(1/3))/(x*cos(1/9*pi)*sin(1/9*pi))) + 26180*(sqrt(3)*x^7*sin(1/9*pi) - x^7*cos(1/9*pi))*log(64*(x^2 + (2*sqrt(3)*x*cos(1/9*pi)*sin(1/9*pi) - 2*x*cos(1/9*pi)^2 + x)*(x^3 + x^2)^(1/3) + (x^3 + x^2)^(2/3))/x^2) - 26180*(sqrt(3)*x^7*sin(1/9*pi) + x^7*cos(1/9*pi))*log(64*(x^2 + 2*(x^3 + x^2)^(1/3)*(2*x*cos(1/9*pi)^2 - x) + (x^3 + x^2)^(2/3))/x^2) + 9*(4491*x^5 - 2994*x^4 + 2495*x^3 + 3600*x^2 - 3300*x + 3080)*(x^3 + x^2)^(2/3))/x^7","B",0
2545,-1,0,0,0.000000," ","integrate((3+(-2*k^2+1)*x-3*k^2*x^2+k^2*x^3)/((-x^2+1)*(-k^2*x^2+1))^(1/3)/(1-d-(2+d)*x+(d*k^2+1)*x^2+d*k^2*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2546,1,361,0,27.931791," ","integrate((x^3+1)^(2/3)*(x^6-4*x^3+8)/x^6/(x^3+2),x, algorithm=""fricas"")","\frac{100 \cdot 4^{\frac{1}{6}} \sqrt{3} x^{5} \arctan\left(\frac{4^{\frac{1}{6}} {\left(12 \cdot 4^{\frac{2}{3}} \sqrt{3} {\left(2 \, x^{7} + 5 \, x^{4} + 2 \, x\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} \sqrt{3} {\left(91 \, x^{9} + 168 \, x^{6} + 84 \, x^{3} + 8\right)} + 12 \, \sqrt{3} {\left(19 \, x^{8} + 22 \, x^{5} + 4 \, x^{2}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}}\right)}}{6 \, {\left(53 \, x^{9} + 48 \, x^{6} - 12 \, x^{3} - 8\right)}}\right) + 50 \cdot 4^{\frac{2}{3}} x^{5} \log\left(-\frac{6 \cdot 4^{\frac{1}{3}} {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} + 4^{\frac{2}{3}} {\left(x^{3} + 2\right)} - 12 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} x}{x^{3} + 2}\right) - 25 \cdot 4^{\frac{2}{3}} x^{5} \log\left(\frac{6 \cdot 4^{\frac{2}{3}} {\left(2 \, x^{4} + x\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} {\left(19 \, x^{6} + 22 \, x^{3} + 4\right)} + 6 \, {\left(5 \, x^{5} + 4 \, x^{2}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x^{6} + 4 \, x^{3} + 4}\right) + 120 \, \sqrt{3} x^{5} \arctan\left(-\frac{25382 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 13720 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(5831 \, x^{3} + 7200\right)}}{58653 \, x^{3} + 8000}\right) - 60 \, x^{5} \log\left(3 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + 1\right) + 144 \, {\left(3 \, x^{3} - 2\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{360 \, x^{5}}"," ",0,"1/360*(100*4^(1/6)*sqrt(3)*x^5*arctan(1/6*4^(1/6)*(12*4^(2/3)*sqrt(3)*(2*x^7 + 5*x^4 + 2*x)*(x^3 + 1)^(2/3) + 4^(1/3)*sqrt(3)*(91*x^9 + 168*x^6 + 84*x^3 + 8) + 12*sqrt(3)*(19*x^8 + 22*x^5 + 4*x^2)*(x^3 + 1)^(1/3))/(53*x^9 + 48*x^6 - 12*x^3 - 8)) + 50*4^(2/3)*x^5*log(-(6*4^(1/3)*(x^3 + 1)^(1/3)*x^2 + 4^(2/3)*(x^3 + 2) - 12*(x^3 + 1)^(2/3)*x)/(x^3 + 2)) - 25*4^(2/3)*x^5*log((6*4^(2/3)*(2*x^4 + x)*(x^3 + 1)^(2/3) + 4^(1/3)*(19*x^6 + 22*x^3 + 4) + 6*(5*x^5 + 4*x^2)*(x^3 + 1)^(1/3))/(x^6 + 4*x^3 + 4)) + 120*sqrt(3)*x^5*arctan(-(25382*sqrt(3)*(x^3 + 1)^(1/3)*x^2 - 13720*sqrt(3)*(x^3 + 1)^(2/3)*x + sqrt(3)*(5831*x^3 + 7200))/(58653*x^3 + 8000)) - 60*x^5*log(3*(x^3 + 1)^(1/3)*x^2 - 3*(x^3 + 1)^(2/3)*x + 1) + 144*(3*x^3 - 2)*(x^3 + 1)^(2/3))/x^5","B",0
2547,1,360,0,25.423409," ","integrate((x^3-1)^(2/3)*(x^6+2*x^3+8)/x^6/(x^3-2),x, algorithm=""fricas"")","\frac{20 \, \sqrt{3} 2^{\frac{1}{3}} x^{5} \arctan\left(\frac{12 \, \sqrt{3} 2^{\frac{2}{3}} {\left(2 \, x^{7} - 5 \, x^{4} + 2 \, x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} + 6 \, \sqrt{3} 2^{\frac{1}{3}} {\left(19 \, x^{8} - 22 \, x^{5} + 4 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}} + \sqrt{3} {\left(91 \, x^{9} - 168 \, x^{6} + 84 \, x^{3} - 8\right)}}{3 \, {\left(53 \, x^{9} - 48 \, x^{6} - 12 \, x^{3} + 8\right)}}\right) + 30 \, \sqrt{3} x^{5} \arctan\left(-\frac{25382 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} - 13720 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(5831 \, x^{3} - 7200\right)}}{58653 \, x^{3} - 8000}\right) + 20 \cdot 2^{\frac{1}{3}} x^{5} \log\left(-\frac{3 \cdot 2^{\frac{2}{3}} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} - 6 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + 2^{\frac{1}{3}} {\left(x^{3} - 2\right)}}{x^{3} - 2}\right) - 10 \cdot 2^{\frac{1}{3}} x^{5} \log\left(\frac{12 \cdot 2^{\frac{1}{3}} {\left(2 \, x^{4} - x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} + 2^{\frac{2}{3}} {\left(19 \, x^{6} - 22 \, x^{3} + 4\right)} + 6 \, {\left(5 \, x^{5} - 4 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x^{6} - 4 \, x^{3} + 4}\right) - 15 \, x^{5} \log\left(-3 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + 1\right) + 9 \, {\left(7 \, x^{3} + 8\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{90 \, x^{5}}"," ",0,"1/90*(20*sqrt(3)*2^(1/3)*x^5*arctan(1/3*(12*sqrt(3)*2^(2/3)*(2*x^7 - 5*x^4 + 2*x)*(x^3 - 1)^(2/3) + 6*sqrt(3)*2^(1/3)*(19*x^8 - 22*x^5 + 4*x^2)*(x^3 - 1)^(1/3) + sqrt(3)*(91*x^9 - 168*x^6 + 84*x^3 - 8))/(53*x^9 - 48*x^6 - 12*x^3 + 8)) + 30*sqrt(3)*x^5*arctan(-(25382*sqrt(3)*(x^3 - 1)^(1/3)*x^2 - 13720*sqrt(3)*(x^3 - 1)^(2/3)*x + sqrt(3)*(5831*x^3 - 7200))/(58653*x^3 - 8000)) + 20*2^(1/3)*x^5*log(-(3*2^(2/3)*(x^3 - 1)^(1/3)*x^2 - 6*(x^3 - 1)^(2/3)*x + 2^(1/3)*(x^3 - 2))/(x^3 - 2)) - 10*2^(1/3)*x^5*log((12*2^(1/3)*(2*x^4 - x)*(x^3 - 1)^(2/3) + 2^(2/3)*(19*x^6 - 22*x^3 + 4) + 6*(5*x^5 - 4*x^2)*(x^3 - 1)^(1/3))/(x^6 - 4*x^3 + 4)) - 15*x^5*log(-3*(x^3 - 1)^(1/3)*x^2 + 3*(x^3 - 1)^(2/3)*x + 1) + 9*(7*x^3 + 8)*(x^3 - 1)^(2/3))/x^5","B",0
2548,-1,0,0,0.000000," ","integrate((p*x^3-2*q)*(p^2*x^6-2*p*q*x^4+2*p*q*x^3+q^2)^(1/2)*(c*x^4+b*x^2*(p*x^3+q)+a*(p*x^3+q)^2)/x^9,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2549,1,206,0,0.684598," ","integrate((a*x^2-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} {\left(9 \, a^{5} b - 2 \, b^{4}\right)} x \arctan\left(\frac{\sqrt{3} a x + 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{3 \, a x}\right) + 2 \, {\left(9 \, a^{5} b - 2 \, b^{4}\right)} x \log\left(-\frac{a x - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - {\left(9 \, a^{5} b - 2 \, b^{4}\right)} x \log\left(\frac{a^{2} x^{2} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} a x + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) + 3 \, {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}} {\left(3 \, a^{4} x - 4 \, a b^{2}\right)}}{18 \, a^{6} x}"," ",0,"1/18*(2*sqrt(3)*(9*a^5*b - 2*b^4)*x*arctan(1/3*(sqrt(3)*a*x + 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3))/(a*x)) + 2*(9*a^5*b - 2*b^4)*x*log(-(a*x - (a^3*x^3 + b^2*x^2)^(1/3))/x) - (9*a^5*b - 2*b^4)*x*log((a^2*x^2 + (a^3*x^3 + b^2*x^2)^(1/3)*a*x + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) + 3*(a^3*x^3 + b^2*x^2)^(2/3)*(3*a^4*x - 4*a*b^2))/(a^6*x)","A",0
2550,1,206,0,0.648841," ","integrate((a*x^2+b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} {\left(9 \, a^{5} b + 2 \, b^{4}\right)} x \arctan\left(\frac{\sqrt{3} a x + 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{3 \, a x}\right) + 2 \, {\left(9 \, a^{5} b + 2 \, b^{4}\right)} x \log\left(-\frac{a x - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - {\left(9 \, a^{5} b + 2 \, b^{4}\right)} x \log\left(\frac{a^{2} x^{2} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} a x + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - 3 \, {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}} {\left(3 \, a^{4} x - 4 \, a b^{2}\right)}}{18 \, a^{6} x}"," ",0,"-1/18*(2*sqrt(3)*(9*a^5*b + 2*b^4)*x*arctan(1/3*(sqrt(3)*a*x + 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3))/(a*x)) + 2*(9*a^5*b + 2*b^4)*x*log(-(a*x - (a^3*x^3 + b^2*x^2)^(1/3))/x) - (9*a^5*b + 2*b^4)*x*log((a^2*x^2 + (a^3*x^3 + b^2*x^2)^(1/3)*a*x + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - 3*(a^3*x^3 + b^2*x^2)^(2/3)*(3*a^4*x - 4*a*b^2))/(a^6*x)","A",0
2551,-1,0,0,0.000000," ","integrate((-a^2*b+4*a*b*x-(2*a+3*b)*x^2+2*x^3)/(x*(-a+x)^2*(-b+x)^3)^(1/4)/(b+(a^2*d-1)*x-2*a*d*x^2+d*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2552,1,567,0,0.737290," ","integrate((a*x^2+b)*(a*x^4+b*x^3)^(1/4)/x^2/(a*x^2-b),x, algorithm=""fricas"")","\frac{4 \, {\left(a + \sqrt{a b}\right)}^{\frac{1}{4}} x \arctan\left(\frac{{\left(a x - \sqrt{a b} x\right)} {\left(a + \sqrt{a b}\right)}^{\frac{3}{4}} \sqrt{\frac{\sqrt{a + \sqrt{a b}} x^{2} + \sqrt{a x^{4} + b x^{3}}}{x^{2}}} - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(a + \sqrt{a b}\right)}^{\frac{3}{4}} {\left(a - \sqrt{a b}\right)}}{{\left(a^{2} - a b\right)} x}\right) - 4 \, {\left(a - \sqrt{a b}\right)}^{\frac{1}{4}} x \arctan\left(-\frac{{\left(a x + \sqrt{a b} x\right)} {\left(a - \sqrt{a b}\right)}^{\frac{3}{4}} \sqrt{\frac{\sqrt{a - \sqrt{a b}} x^{2} + \sqrt{a x^{4} + b x^{3}}}{x^{2}}} - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(a + \sqrt{a b}\right)} {\left(a - \sqrt{a b}\right)}^{\frac{3}{4}}}{{\left(a^{2} - a b\right)} x}\right) - 4 \, a^{\frac{1}{4}} x \arctan\left(\frac{a^{\frac{3}{4}} x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} + b x^{3}}}{x^{2}}} - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} a^{\frac{3}{4}}}{a x}\right) - {\left(a + \sqrt{a b}\right)}^{\frac{1}{4}} x \log\left(\frac{2 \, {\left({\left(a + \sqrt{a b}\right)}^{\frac{1}{4}} x + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}\right)}}{x}\right) + {\left(a + \sqrt{a b}\right)}^{\frac{1}{4}} x \log\left(-\frac{2 \, {\left({\left(a + \sqrt{a b}\right)}^{\frac{1}{4}} x - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}\right)}}{x}\right) - {\left(a - \sqrt{a b}\right)}^{\frac{1}{4}} x \log\left(\frac{2 \, {\left({\left(a - \sqrt{a b}\right)}^{\frac{1}{4}} x + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}\right)}}{x}\right) + {\left(a - \sqrt{a b}\right)}^{\frac{1}{4}} x \log\left(-\frac{2 \, {\left({\left(a - \sqrt{a b}\right)}^{\frac{1}{4}} x - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}\right)}}{x}\right) + a^{\frac{1}{4}} x \log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - a^{\frac{1}{4}} x \log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 4 \, {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}"," ",0,"(4*(a + sqrt(a*b))^(1/4)*x*arctan(((a*x - sqrt(a*b)*x)*(a + sqrt(a*b))^(3/4)*sqrt((sqrt(a + sqrt(a*b))*x^2 + sqrt(a*x^4 + b*x^3))/x^2) - (a*x^4 + b*x^3)^(1/4)*(a + sqrt(a*b))^(3/4)*(a - sqrt(a*b)))/((a^2 - a*b)*x)) - 4*(a - sqrt(a*b))^(1/4)*x*arctan(-((a*x + sqrt(a*b)*x)*(a - sqrt(a*b))^(3/4)*sqrt((sqrt(a - sqrt(a*b))*x^2 + sqrt(a*x^4 + b*x^3))/x^2) - (a*x^4 + b*x^3)^(1/4)*(a + sqrt(a*b))*(a - sqrt(a*b))^(3/4))/((a^2 - a*b)*x)) - 4*a^(1/4)*x*arctan((a^(3/4)*x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 + b*x^3))/x^2) - (a*x^4 + b*x^3)^(1/4)*a^(3/4))/(a*x)) - (a + sqrt(a*b))^(1/4)*x*log(2*((a + sqrt(a*b))^(1/4)*x + (a*x^4 + b*x^3)^(1/4))/x) + (a + sqrt(a*b))^(1/4)*x*log(-2*((a + sqrt(a*b))^(1/4)*x - (a*x^4 + b*x^3)^(1/4))/x) - (a - sqrt(a*b))^(1/4)*x*log(2*((a - sqrt(a*b))^(1/4)*x + (a*x^4 + b*x^3)^(1/4))/x) + (a - sqrt(a*b))^(1/4)*x*log(-2*((a - sqrt(a*b))^(1/4)*x - (a*x^4 + b*x^3)^(1/4))/x) + a^(1/4)*x*log((a^(1/4)*x + (a*x^4 + b*x^3)^(1/4))/x) - a^(1/4)*x*log(-(a^(1/4)*x - (a*x^4 + b*x^3)^(1/4))/x) + 4*(a*x^4 + b*x^3)^(1/4))/x","B",0
2553,-1,0,0,0.000000," ","integrate((a*b^3-(6*a-b)*b^2*x+9*a*b*x^2-(4*a+3*b)*x^3+2*x^4)/(x*(-a+x)^2*(-b+x)^3)^(1/4)/(-a^2+(-b^3*d+2*a)*x+(3*b^2*d-1)*x^2-3*b*d*x^3+d*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2554,-1,0,0,0.000000," ","integrate((a*x^4-b)^(1/4)*(a*x^8+c*x^4+b)/x^6/(2*a*x^8+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2555,-1,0,0,0.000000," ","integrate((a*x^4-b)^(1/4)*(a*x^8+c*x^4+b)/x^6/(2*a*x^8+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2556,1,673,0,0.646943," ","integrate(1/(c*x+d)/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{b^{2} c \sqrt{\frac{b^{2} c^{3} \sqrt{\frac{b^{2} c^{2} + a^{2} d^{2}}{b^{4} c^{6}}} + a d}{b^{2} c^{3}}} \log\left(4 \, {\left(b^{2} c^{3} \sqrt{\frac{b^{2} c^{2} + a^{2} d^{2}}{b^{4} c^{6}}} - a d\right)} \sqrt{\frac{b^{2} c^{3} \sqrt{\frac{b^{2} c^{2} + a^{2} d^{2}}{b^{4} c^{6}}} + a d}{b^{2} c^{3}}} + 4 \, \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}\right) - b^{2} c \sqrt{\frac{b^{2} c^{3} \sqrt{\frac{b^{2} c^{2} + a^{2} d^{2}}{b^{4} c^{6}}} + a d}{b^{2} c^{3}}} \log\left(-4 \, {\left(b^{2} c^{3} \sqrt{\frac{b^{2} c^{2} + a^{2} d^{2}}{b^{4} c^{6}}} - a d\right)} \sqrt{\frac{b^{2} c^{3} \sqrt{\frac{b^{2} c^{2} + a^{2} d^{2}}{b^{4} c^{6}}} + a d}{b^{2} c^{3}}} + 4 \, \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}\right) - b^{2} c \sqrt{-\frac{b^{2} c^{3} \sqrt{\frac{b^{2} c^{2} + a^{2} d^{2}}{b^{4} c^{6}}} - a d}{b^{2} c^{3}}} \log\left(4 \, {\left(b^{2} c^{3} \sqrt{\frac{b^{2} c^{2} + a^{2} d^{2}}{b^{4} c^{6}}} + a d\right)} \sqrt{-\frac{b^{2} c^{3} \sqrt{\frac{b^{2} c^{2} + a^{2} d^{2}}{b^{4} c^{6}}} - a d}{b^{2} c^{3}}} + 4 \, \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}\right) + b^{2} c \sqrt{-\frac{b^{2} c^{3} \sqrt{\frac{b^{2} c^{2} + a^{2} d^{2}}{b^{4} c^{6}}} - a d}{b^{2} c^{3}}} \log\left(-4 \, {\left(b^{2} c^{3} \sqrt{\frac{b^{2} c^{2} + a^{2} d^{2}}{b^{4} c^{6}}} + a d\right)} \sqrt{-\frac{b^{2} c^{3} \sqrt{\frac{b^{2} c^{2} + a^{2} d^{2}}{b^{4} c^{6}}} - a d}{b^{2} c^{3}}} + 4 \, \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}\right) + 2 \, \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} {\left(a x - \sqrt{a^{2} x^{2} + b^{2}}\right)}}{b^{2} c}"," ",0,"-(b^2*c*sqrt((b^2*c^3*sqrt((b^2*c^2 + a^2*d^2)/(b^4*c^6)) + a*d)/(b^2*c^3))*log(4*(b^2*c^3*sqrt((b^2*c^2 + a^2*d^2)/(b^4*c^6)) - a*d)*sqrt((b^2*c^3*sqrt((b^2*c^2 + a^2*d^2)/(b^4*c^6)) + a*d)/(b^2*c^3)) + 4*sqrt(a*x + sqrt(a^2*x^2 + b^2))) - b^2*c*sqrt((b^2*c^3*sqrt((b^2*c^2 + a^2*d^2)/(b^4*c^6)) + a*d)/(b^2*c^3))*log(-4*(b^2*c^3*sqrt((b^2*c^2 + a^2*d^2)/(b^4*c^6)) - a*d)*sqrt((b^2*c^3*sqrt((b^2*c^2 + a^2*d^2)/(b^4*c^6)) + a*d)/(b^2*c^3)) + 4*sqrt(a*x + sqrt(a^2*x^2 + b^2))) - b^2*c*sqrt(-(b^2*c^3*sqrt((b^2*c^2 + a^2*d^2)/(b^4*c^6)) - a*d)/(b^2*c^3))*log(4*(b^2*c^3*sqrt((b^2*c^2 + a^2*d^2)/(b^4*c^6)) + a*d)*sqrt(-(b^2*c^3*sqrt((b^2*c^2 + a^2*d^2)/(b^4*c^6)) - a*d)/(b^2*c^3)) + 4*sqrt(a*x + sqrt(a^2*x^2 + b^2))) + b^2*c*sqrt(-(b^2*c^3*sqrt((b^2*c^2 + a^2*d^2)/(b^4*c^6)) - a*d)/(b^2*c^3))*log(-4*(b^2*c^3*sqrt((b^2*c^2 + a^2*d^2)/(b^4*c^6)) + a*d)*sqrt(-(b^2*c^3*sqrt((b^2*c^2 + a^2*d^2)/(b^4*c^6)) - a*d)/(b^2*c^3)) + 4*sqrt(a*x + sqrt(a^2*x^2 + b^2))) + 2*sqrt(a*x + sqrt(a^2*x^2 + b^2))*(a*x - sqrt(a^2*x^2 + b^2)))/(b^2*c)","B",0
2557,-1,0,0,0.000000," ","integrate((2*p*x^3-q)*(p^2*x^6+2*p*q*x^3-2*p*q*x^2+q^2)^(1/2)*(b*q*x+c*x^2+b*p*x^4+a*(p*x^3+q)^2)/x^5,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2558,-1,0,0,0.000000," ","integrate((-a*(a-2*b)-2*b*x+x^2)/((-a+x)*(-b+x))^(2/3)/(a^2+b*d-(2*a+d)*x+x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2559,-1,0,0,0.000000," ","integrate((a-2*b+x)/((-a+x)*(-b+x))^(1/3)/(b+a^2*d+(-2*a*d-1)*x+d*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2560,-1,0,0,0.000000," ","integrate((a-2*b+x)/((-a+x)*(-b+x))^(1/3)/(b+a^2*d-(2*a*d+1)*x+d*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2561,-1,0,0,0.000000," ","integrate((-1+2*k*x+(1-2*k)*x^2)/((1-x)*x*(-k*x+1))^(2/3)/(b-(1+2*b)*x+(b+k)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2562,1,206,0,1.066513," ","integrate((-1+x)/(1+x)/(x^3-x^2)^(1/3),x, algorithm=""fricas"")","4^{\frac{1}{3}} \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 4^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) - \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) + 4^{\frac{1}{3}} \log\left(-\frac{4^{\frac{2}{3}} x - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{2} \cdot 4^{\frac{1}{3}} \log\left(\frac{2 \cdot 4^{\frac{1}{3}} x^{2} + 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - \log\left(-\frac{x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, \log\left(\frac{x^{2} + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"4^(1/3)*sqrt(3)*arctan(1/3*(sqrt(3)*x + 4^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3))/x) - sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 - x^2)^(1/3))/x) + 4^(1/3)*log(-(4^(2/3)*x - 2*(x^3 - x^2)^(1/3))/x) - 1/2*4^(1/3)*log((2*4^(1/3)*x^2 + 4^(2/3)*(x^3 - x^2)^(1/3)*x + 2*(x^3 - x^2)^(2/3))/x^2) - log(-(x - (x^3 - x^2)^(1/3))/x) + 1/2*log((x^2 + (x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(2/3))/x^2)","A",0
2563,1,615,0,53.534929," ","integrate((x^6+x^3+x-1)^(2/3)*(3*x^6-2*x+3)/(x^6+x-1)/(x^6-x^3+x-1),x, algorithm=""fricas"")","-\frac{1}{3} \cdot 4^{\frac{1}{3}} \sqrt{3} \arctan\left(\frac{3 \cdot 4^{\frac{2}{3}} \sqrt{3} {\left(x^{13} + 4 \, x^{10} + 2 \, x^{8} - 7 \, x^{7} + 4 \, x^{5} - 4 \, x^{4} + x^{3} - 2 \, x^{2} + x\right)} {\left(x^{6} + x^{3} + x - 1\right)}^{\frac{2}{3}} + 6 \cdot 4^{\frac{1}{3}} \sqrt{3} {\left(x^{14} + 16 \, x^{11} + 2 \, x^{9} + 17 \, x^{8} + 16 \, x^{6} - 16 \, x^{5} + x^{4} - 2 \, x^{3} + x^{2}\right)} {\left(x^{6} + x^{3} + x - 1\right)}^{\frac{1}{3}} + \sqrt{3} {\left(x^{18} + 33 \, x^{15} + 3 \, x^{13} + 108 \, x^{12} + 66 \, x^{10} + 5 \, x^{9} + 3 \, x^{8} + 105 \, x^{7} - 108 \, x^{6} + 33 \, x^{5} - 66 \, x^{4} + 34 \, x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}}{3 \, {\left(x^{18} - 3 \, x^{15} + 3 \, x^{13} - 108 \, x^{12} - 6 \, x^{10} - 103 \, x^{9} + 3 \, x^{8} - 111 \, x^{7} + 108 \, x^{6} - 3 \, x^{5} + 6 \, x^{4} - 2 \, x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}}\right) + \sqrt{3} \arctan\left(-\frac{682 \, \sqrt{3} {\left(x^{6} + x^{3} + x - 1\right)}^{\frac{1}{3}} x^{2} - 248 \, \sqrt{3} {\left(x^{6} + x^{3} + x - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(96 \, x^{6} + 217 \, x^{3} + 96 \, x - 96\right)}}{64 \, x^{6} + 1395 \, x^{3} + 64 \, x - 64}\right) + \frac{1}{3} \cdot 4^{\frac{1}{3}} \log\left(\frac{3 \cdot 4^{\frac{2}{3}} {\left(x^{6} + x^{3} + x - 1\right)}^{\frac{1}{3}} x^{2} - 6 \, {\left(x^{6} + x^{3} + x - 1\right)}^{\frac{2}{3}} x + 4^{\frac{1}{3}} {\left(x^{6} - x^{3} + x - 1\right)}}{x^{6} - x^{3} + x - 1}\right) - \frac{1}{6} \cdot 4^{\frac{1}{3}} \log\left(\frac{6 \cdot 4^{\frac{1}{3}} {\left(x^{7} + 5 \, x^{4} + x^{2} - x\right)} {\left(x^{6} + x^{3} + x - 1\right)}^{\frac{2}{3}} + 4^{\frac{2}{3}} {\left(x^{12} + 16 \, x^{9} + 2 \, x^{7} + 17 \, x^{6} + 16 \, x^{4} - 16 \, x^{3} + x^{2} - 2 \, x + 1\right)} + 24 \, {\left(x^{8} + 2 \, x^{5} + x^{3} - x^{2}\right)} {\left(x^{6} + x^{3} + x - 1\right)}^{\frac{1}{3}}}{x^{12} - 2 \, x^{9} + 2 \, x^{7} - x^{6} - 2 \, x^{4} + 2 \, x^{3} + x^{2} - 2 \, x + 1}\right) - \frac{1}{2} \, \log\left(\frac{x^{6} + 3 \, {\left(x^{6} + x^{3} + x - 1\right)}^{\frac{1}{3}} x^{2} - 3 \, {\left(x^{6} + x^{3} + x - 1\right)}^{\frac{2}{3}} x + x - 1}{x^{6} + x - 1}\right)"," ",0,"-1/3*4^(1/3)*sqrt(3)*arctan(1/3*(3*4^(2/3)*sqrt(3)*(x^13 + 4*x^10 + 2*x^8 - 7*x^7 + 4*x^5 - 4*x^4 + x^3 - 2*x^2 + x)*(x^6 + x^3 + x - 1)^(2/3) + 6*4^(1/3)*sqrt(3)*(x^14 + 16*x^11 + 2*x^9 + 17*x^8 + 16*x^6 - 16*x^5 + x^4 - 2*x^3 + x^2)*(x^6 + x^3 + x - 1)^(1/3) + sqrt(3)*(x^18 + 33*x^15 + 3*x^13 + 108*x^12 + 66*x^10 + 5*x^9 + 3*x^8 + 105*x^7 - 108*x^6 + 33*x^5 - 66*x^4 + 34*x^3 - 3*x^2 + 3*x - 1))/(x^18 - 3*x^15 + 3*x^13 - 108*x^12 - 6*x^10 - 103*x^9 + 3*x^8 - 111*x^7 + 108*x^6 - 3*x^5 + 6*x^4 - 2*x^3 - 3*x^2 + 3*x - 1)) + sqrt(3)*arctan(-(682*sqrt(3)*(x^6 + x^3 + x - 1)^(1/3)*x^2 - 248*sqrt(3)*(x^6 + x^3 + x - 1)^(2/3)*x + sqrt(3)*(96*x^6 + 217*x^3 + 96*x - 96))/(64*x^6 + 1395*x^3 + 64*x - 64)) + 1/3*4^(1/3)*log((3*4^(2/3)*(x^6 + x^3 + x - 1)^(1/3)*x^2 - 6*(x^6 + x^3 + x - 1)^(2/3)*x + 4^(1/3)*(x^6 - x^3 + x - 1))/(x^6 - x^3 + x - 1)) - 1/6*4^(1/3)*log((6*4^(1/3)*(x^7 + 5*x^4 + x^2 - x)*(x^6 + x^3 + x - 1)^(2/3) + 4^(2/3)*(x^12 + 16*x^9 + 2*x^7 + 17*x^6 + 16*x^4 - 16*x^3 + x^2 - 2*x + 1) + 24*(x^8 + 2*x^5 + x^3 - x^2)*(x^6 + x^3 + x - 1)^(1/3))/(x^12 - 2*x^9 + 2*x^7 - x^6 - 2*x^4 + 2*x^3 + x^2 - 2*x + 1)) - 1/2*log((x^6 + 3*(x^6 + x^3 + x - 1)^(1/3)*x^2 - 3*(x^6 + x^3 + x - 1)^(2/3)*x + x - 1)/(x^6 + x - 1))","B",0
2564,1,406,0,0.524846," ","integrate((2*x^8-2*x^4-1)/(x^4-1)^(1/4)/(x^8-x^4-1),x, algorithm=""fricas"")","\frac{1}{10} \, \sqrt{10} \sqrt{\sqrt{5} + 1} \arctan\left(\frac{\sqrt{10} \sqrt{2} {\left(\sqrt{5} x - 5 \, x\right)} \sqrt{\sqrt{5} + 1} \sqrt{\frac{\sqrt{5} x^{2} + x^{2} + 2 \, \sqrt{x^{4} - 1}}{x^{2}}} - 2 \, \sqrt{10} {\left(x^{4} - 1\right)}^{\frac{1}{4}} \sqrt{\sqrt{5} + 1} {\left(\sqrt{5} - 5\right)}}{40 \, x}\right) - \frac{1}{10} \, \sqrt{10} \sqrt{\sqrt{5} - 1} \arctan\left(\frac{\sqrt{10} \sqrt{2} {\left(\sqrt{5} x + 5 \, x\right)} \sqrt{\sqrt{5} - 1} \sqrt{\frac{\sqrt{5} x^{2} - x^{2} + 2 \, \sqrt{x^{4} - 1}}{x^{2}}} - 2 \, \sqrt{10} {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{5} + 5\right)} \sqrt{\sqrt{5} - 1}}{40 \, x}\right) - \frac{1}{40} \, \sqrt{10} \sqrt{\sqrt{5} + 1} \log\left(\frac{\sqrt{10} \sqrt{5} x \sqrt{\sqrt{5} + 1} + 10 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{40} \, \sqrt{10} \sqrt{\sqrt{5} + 1} \log\left(-\frac{\sqrt{10} \sqrt{5} x \sqrt{\sqrt{5} + 1} - 10 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{40} \, \sqrt{10} \sqrt{\sqrt{5} - 1} \log\left(\frac{\sqrt{10} \sqrt{5} x \sqrt{\sqrt{5} - 1} + 10 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{40} \, \sqrt{10} \sqrt{\sqrt{5} - 1} \log\left(-\frac{\sqrt{10} \sqrt{5} x \sqrt{\sqrt{5} - 1} - 10 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) - \arctan\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \log\left(\frac{x + {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \log\left(-\frac{x - {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"1/10*sqrt(10)*sqrt(sqrt(5) + 1)*arctan(1/40*(sqrt(10)*sqrt(2)*(sqrt(5)*x - 5*x)*sqrt(sqrt(5) + 1)*sqrt((sqrt(5)*x^2 + x^2 + 2*sqrt(x^4 - 1))/x^2) - 2*sqrt(10)*(x^4 - 1)^(1/4)*sqrt(sqrt(5) + 1)*(sqrt(5) - 5))/x) - 1/10*sqrt(10)*sqrt(sqrt(5) - 1)*arctan(1/40*(sqrt(10)*sqrt(2)*(sqrt(5)*x + 5*x)*sqrt(sqrt(5) - 1)*sqrt((sqrt(5)*x^2 - x^2 + 2*sqrt(x^4 - 1))/x^2) - 2*sqrt(10)*(x^4 - 1)^(1/4)*(sqrt(5) + 5)*sqrt(sqrt(5) - 1))/x) - 1/40*sqrt(10)*sqrt(sqrt(5) + 1)*log((sqrt(10)*sqrt(5)*x*sqrt(sqrt(5) + 1) + 10*(x^4 - 1)^(1/4))/x) + 1/40*sqrt(10)*sqrt(sqrt(5) + 1)*log(-(sqrt(10)*sqrt(5)*x*sqrt(sqrt(5) + 1) - 10*(x^4 - 1)^(1/4))/x) - 1/40*sqrt(10)*sqrt(sqrt(5) - 1)*log((sqrt(10)*sqrt(5)*x*sqrt(sqrt(5) - 1) + 10*(x^4 - 1)^(1/4))/x) + 1/40*sqrt(10)*sqrt(sqrt(5) - 1)*log(-(sqrt(10)*sqrt(5)*x*sqrt(sqrt(5) - 1) - 10*(x^4 - 1)^(1/4))/x) - arctan((x^4 - 1)^(1/4)/x) + 1/2*log((x + (x^4 - 1)^(1/4))/x) - 1/2*log(-(x - (x^4 - 1)^(1/4))/x)","B",0
2565,1,406,0,0.532763," ","integrate((2*x^8+2*x^4-1)/(x^4+1)^(1/4)/(x^8+x^4-1),x, algorithm=""fricas"")","\frac{1}{10} \, \sqrt{10} \sqrt{\sqrt{5} + 1} \arctan\left(\frac{\sqrt{10} \sqrt{2} {\left(\sqrt{5} x - 5 \, x\right)} \sqrt{\sqrt{5} + 1} \sqrt{\frac{\sqrt{5} x^{2} + x^{2} + 2 \, \sqrt{x^{4} + 1}}{x^{2}}} - 2 \, \sqrt{10} {\left(x^{4} + 1\right)}^{\frac{1}{4}} \sqrt{\sqrt{5} + 1} {\left(\sqrt{5} - 5\right)}}{40 \, x}\right) - \frac{1}{10} \, \sqrt{10} \sqrt{\sqrt{5} - 1} \arctan\left(\frac{\sqrt{10} \sqrt{2} {\left(\sqrt{5} x + 5 \, x\right)} \sqrt{\sqrt{5} - 1} \sqrt{\frac{\sqrt{5} x^{2} - x^{2} + 2 \, \sqrt{x^{4} + 1}}{x^{2}}} - 2 \, \sqrt{10} {\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(\sqrt{5} + 5\right)} \sqrt{\sqrt{5} - 1}}{40 \, x}\right) - \frac{1}{40} \, \sqrt{10} \sqrt{\sqrt{5} + 1} \log\left(\frac{\sqrt{10} \sqrt{5} x \sqrt{\sqrt{5} + 1} + 10 \, {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{40} \, \sqrt{10} \sqrt{\sqrt{5} + 1} \log\left(-\frac{\sqrt{10} \sqrt{5} x \sqrt{\sqrt{5} + 1} - 10 \, {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{40} \, \sqrt{10} \sqrt{\sqrt{5} - 1} \log\left(\frac{\sqrt{10} \sqrt{5} x \sqrt{\sqrt{5} - 1} + 10 \, {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{40} \, \sqrt{10} \sqrt{\sqrt{5} - 1} \log\left(-\frac{\sqrt{10} \sqrt{5} x \sqrt{\sqrt{5} - 1} - 10 \, {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) - \arctan\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \log\left(\frac{x + {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \log\left(-\frac{x - {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"1/10*sqrt(10)*sqrt(sqrt(5) + 1)*arctan(1/40*(sqrt(10)*sqrt(2)*(sqrt(5)*x - 5*x)*sqrt(sqrt(5) + 1)*sqrt((sqrt(5)*x^2 + x^2 + 2*sqrt(x^4 + 1))/x^2) - 2*sqrt(10)*(x^4 + 1)^(1/4)*sqrt(sqrt(5) + 1)*(sqrt(5) - 5))/x) - 1/10*sqrt(10)*sqrt(sqrt(5) - 1)*arctan(1/40*(sqrt(10)*sqrt(2)*(sqrt(5)*x + 5*x)*sqrt(sqrt(5) - 1)*sqrt((sqrt(5)*x^2 - x^2 + 2*sqrt(x^4 + 1))/x^2) - 2*sqrt(10)*(x^4 + 1)^(1/4)*(sqrt(5) + 5)*sqrt(sqrt(5) - 1))/x) - 1/40*sqrt(10)*sqrt(sqrt(5) + 1)*log((sqrt(10)*sqrt(5)*x*sqrt(sqrt(5) + 1) + 10*(x^4 + 1)^(1/4))/x) + 1/40*sqrt(10)*sqrt(sqrt(5) + 1)*log(-(sqrt(10)*sqrt(5)*x*sqrt(sqrt(5) + 1) - 10*(x^4 + 1)^(1/4))/x) - 1/40*sqrt(10)*sqrt(sqrt(5) - 1)*log((sqrt(10)*sqrt(5)*x*sqrt(sqrt(5) - 1) + 10*(x^4 + 1)^(1/4))/x) + 1/40*sqrt(10)*sqrt(sqrt(5) - 1)*log(-(sqrt(10)*sqrt(5)*x*sqrt(sqrt(5) - 1) - 10*(x^4 + 1)^(1/4))/x) - arctan((x^4 + 1)^(1/4)/x) + 1/2*log((x + (x^4 + 1)^(1/4))/x) - 1/2*log(-(x - (x^4 + 1)^(1/4))/x)","B",0
2566,-1,0,0,0.000000," ","integrate((-a*b+(2*a-b)*x)/(x*(-a+x)*(-b+x))^(1/3)/(-a^2+(-b*d+2*a)*x+(-1+d)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2567,-1,0,0,0.000000," ","integrate((a*x^4-4*b)*(a*x^4-b)^(1/4)/x^6/(a*x^8-8*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2568,-1,0,0,0.000000," ","integrate((a*x^4-4*b)*(a*x^4-b)^(1/4)/x^6/(a*x^8-8*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2569,1,241,0,1.418163," ","integrate(x/(1+x)/(x^3-x^2)^(1/3),x, algorithm=""fricas"")","\frac{1}{4} \, {\left(2 \, \sqrt{\frac{3}{2}} \sqrt{-2^{\frac{1}{3}}} - 2^{\frac{2}{3}}\right)} \log\left(\frac{3 \, {\left(2^{\frac{2}{3}} \sqrt{\frac{3}{2}} x \sqrt{-2^{\frac{1}{3}}} + 2^{\frac{1}{3}} x + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\right)}}{2 \, x}\right) - \frac{1}{4} \, {\left(2 \, \sqrt{\frac{3}{2}} \sqrt{-2^{\frac{1}{3}}} + 2^{\frac{2}{3}}\right)} \log\left(-\frac{3 \, {\left(2^{\frac{2}{3}} \sqrt{\frac{3}{2}} x \sqrt{-2^{\frac{1}{3}}} - 2^{\frac{1}{3}} x - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\right)}}{2 \, x}\right) + \frac{1}{2} \cdot 2^{\frac{2}{3}} \log\left(-\frac{3 \, {\left(2^{\frac{1}{3}} x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\right)}}{x}\right) - \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) - \log\left(-\frac{3 \, {\left(x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\right)}}{x}\right) + \frac{1}{2} \, \log\left(\frac{x^{2} + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"1/4*(2*sqrt(3/2)*sqrt(-2^(1/3)) - 2^(2/3))*log(3/2*(2^(2/3)*sqrt(3/2)*x*sqrt(-2^(1/3)) + 2^(1/3)*x + 2*(x^3 - x^2)^(1/3))/x) - 1/4*(2*sqrt(3/2)*sqrt(-2^(1/3)) + 2^(2/3))*log(-3/2*(2^(2/3)*sqrt(3/2)*x*sqrt(-2^(1/3)) - 2^(1/3)*x - 2*(x^3 - x^2)^(1/3))/x) + 1/2*2^(2/3)*log(-3*(2^(1/3)*x - (x^3 - x^2)^(1/3))/x) - sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 - x^2)^(1/3))/x) - log(-3*(x - (x^3 - x^2)^(1/3))/x) + 1/2*log((x^2 + (x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(2/3))/x^2)","A",0
2570,1,210,0,0.517105," ","integrate((x^3-x^2)^(1/3)/(x^2-1),x, algorithm=""fricas"")","-\frac{1}{2} \cdot 4^{\frac{1}{6}} \sqrt{3} \arctan\left(\frac{4^{\frac{1}{6}} \sqrt{3} {\left(4^{\frac{1}{3}} x + 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\right)}}{6 \, x}\right) + \frac{1}{4} \cdot 4^{\frac{2}{3}} \log\left(-\frac{4^{\frac{2}{3}} x - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{8} \cdot 4^{\frac{2}{3}} \log\left(\frac{2 \cdot 4^{\frac{1}{3}} x^{2} + 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) + \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) - \log\left(-\frac{x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, \log\left(\frac{x^{2} + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-1/2*4^(1/6)*sqrt(3)*arctan(1/6*4^(1/6)*sqrt(3)*(4^(1/3)*x + 4^(2/3)*(x^3 - x^2)^(1/3))/x) + 1/4*4^(2/3)*log(-(4^(2/3)*x - 2*(x^3 - x^2)^(1/3))/x) - 1/8*4^(2/3)*log((2*4^(1/3)*x^2 + 4^(2/3)*(x^3 - x^2)^(1/3)*x + 2*(x^3 - x^2)^(2/3))/x^2) + sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 - x^2)^(1/3))/x) - log(-(x - (x^3 - x^2)^(1/3))/x) + 1/2*log((x^2 + (x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(2/3))/x^2)","A",0
2571,1,319,0,3.384826," ","integrate(x^2*(a^2*x^4+b)^(1/2)*(a*x^2+(a^2*x^4+b)^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{9 \, \sqrt{\frac{1}{2}} b \sqrt{-\frac{b}{a}} \log\left(4 \, a^{2} b x^{4} - 4 \, \sqrt{a^{2} x^{4} + b} a b x^{2} + b^{2} - 4 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{a^{2} x^{4} + b} a^{2} x^{3} \sqrt{-\frac{b}{a}} - \sqrt{\frac{1}{2}} {\left(2 \, a^{3} x^{5} + a b x\right)} \sqrt{-\frac{b}{a}}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}\right) - 2 \, {\left(2 \, a^{2} x^{5} - 10 \, \sqrt{a^{2} x^{4} + b} a x^{3} - 9 \, b x\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{96 \, a}, \frac{9 \, \sqrt{\frac{1}{2}} b \sqrt{\frac{b}{a}} \arctan\left(-\frac{{\left(\sqrt{\frac{1}{2}} a x^{2} \sqrt{\frac{b}{a}} - \sqrt{\frac{1}{2}} \sqrt{a^{2} x^{4} + b} \sqrt{\frac{b}{a}}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{b x}\right) - {\left(2 \, a^{2} x^{5} - 10 \, \sqrt{a^{2} x^{4} + b} a x^{3} - 9 \, b x\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{48 \, a}\right]"," ",0,"[1/96*(9*sqrt(1/2)*b*sqrt(-b/a)*log(4*a^2*b*x^4 - 4*sqrt(a^2*x^4 + b)*a*b*x^2 + b^2 - 4*(2*sqrt(1/2)*sqrt(a^2*x^4 + b)*a^2*x^3*sqrt(-b/a) - sqrt(1/2)*(2*a^3*x^5 + a*b*x)*sqrt(-b/a))*sqrt(a*x^2 + sqrt(a^2*x^4 + b))) - 2*(2*a^2*x^5 - 10*sqrt(a^2*x^4 + b)*a*x^3 - 9*b*x)*sqrt(a*x^2 + sqrt(a^2*x^4 + b)))/a, 1/48*(9*sqrt(1/2)*b*sqrt(b/a)*arctan(-(sqrt(1/2)*a*x^2*sqrt(b/a) - sqrt(1/2)*sqrt(a^2*x^4 + b)*sqrt(b/a))*sqrt(a*x^2 + sqrt(a^2*x^4 + b))/(b*x)) - (2*a^2*x^5 - 10*sqrt(a^2*x^4 + b)*a*x^3 - 9*b*x)*sqrt(a*x^2 + sqrt(a^2*x^4 + b)))/a]","A",0
2572,1,367,0,0.648489," ","integrate((a^2*x^2-b*x)^(3/2)/(a*x^2+x*(a^2*x^2-b*x)^(1/2))^(3/2),x, algorithm=""fricas"")","\left[\frac{45 \, \sqrt{2} \sqrt{a} b^{3} x \log\left(-\frac{4 \, a^{2} x^{2} + 4 \, \sqrt{a^{2} x^{2} - b x} a x - b x - 2 \, {\left(\sqrt{2} a^{\frac{3}{2}} x + \sqrt{2} \sqrt{a^{2} x^{2} - b x} \sqrt{a}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x}}{x}\right) - 4 \, {\left(32 \, a^{6} x^{3} - 104 \, a^{4} b x^{2} + 145 \, a^{2} b^{2} x - {\left(32 \, a^{5} x^{2} - 88 \, a^{3} b x + 115 \, a b^{2}\right)} \sqrt{a^{2} x^{2} - b x}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x}}{160 \, a b^{2} x}, \frac{45 \, \sqrt{2} \sqrt{-a} b^{3} x \arctan\left(\frac{\sqrt{2} \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x} \sqrt{-a}}{2 \, a x}\right) - 2 \, {\left(32 \, a^{6} x^{3} - 104 \, a^{4} b x^{2} + 145 \, a^{2} b^{2} x - {\left(32 \, a^{5} x^{2} - 88 \, a^{3} b x + 115 \, a b^{2}\right)} \sqrt{a^{2} x^{2} - b x}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x}}{80 \, a b^{2} x}\right]"," ",0,"[1/160*(45*sqrt(2)*sqrt(a)*b^3*x*log(-(4*a^2*x^2 + 4*sqrt(a^2*x^2 - b*x)*a*x - b*x - 2*(sqrt(2)*a^(3/2)*x + sqrt(2)*sqrt(a^2*x^2 - b*x)*sqrt(a))*sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x))/x) - 4*(32*a^6*x^3 - 104*a^4*b*x^2 + 145*a^2*b^2*x - (32*a^5*x^2 - 88*a^3*b*x + 115*a*b^2)*sqrt(a^2*x^2 - b*x))*sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x))/(a*b^2*x), 1/80*(45*sqrt(2)*sqrt(-a)*b^3*x*arctan(1/2*sqrt(2)*sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x)*sqrt(-a)/(a*x)) - 2*(32*a^6*x^3 - 104*a^4*b*x^2 + 145*a^2*b^2*x - (32*a^5*x^2 - 88*a^3*b*x + 115*a*b^2)*sqrt(a^2*x^2 - b*x))*sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x))/(a*b^2*x)]","A",0
2573,-1,0,0,0.000000," ","integrate((-3*k+(k^2-2)*x+3*k*x^2+k^2*x^3)/((-x^2+1)*(-k^2*x^2+1))^(1/3)/(-1+d-(2+d)*k*x-(k^2+d)*x^2+d*k*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2574,1,1021,0,0.688860," ","integrate((b*x+a)/x/(c*x-d)/(x^4-x^3)^(1/4),x, algorithm=""fricas"")","-\frac{12 \, d x^{3} \left(-\frac{a^{4} c^{4} + 4 \, a^{3} b c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} + 4 \, a b^{3} c d^{3} + b^{4} d^{4}}{c d^{7} - d^{8}}\right)^{\frac{1}{4}} \arctan\left(\frac{d^{2} x \left(-\frac{a^{4} c^{4} + 4 \, a^{3} b c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} + 4 \, a b^{3} c d^{3} + b^{4} d^{4}}{c d^{7} - d^{8}}\right)^{\frac{1}{4}} \sqrt{-\frac{{\left(a^{4} c^{5} d^{3} - b^{4} d^{8} - {\left(a^{4} - 4 \, a^{3} b\right)} c^{4} d^{4} - 2 \, {\left(2 \, a^{3} b - 3 \, a^{2} b^{2}\right)} c^{3} d^{5} - 2 \, {\left(3 \, a^{2} b^{2} - 2 \, a b^{3}\right)} c^{2} d^{6} - {\left(4 \, a b^{3} - b^{4}\right)} c d^{7}\right)} x^{2} \sqrt{-\frac{a^{4} c^{4} + 4 \, a^{3} b c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} + 4 \, a b^{3} c d^{3} + b^{4} d^{4}}{c d^{7} - d^{8}}} - {\left(a^{6} c^{6} + 6 \, a^{5} b c^{5} d + 15 \, a^{4} b^{2} c^{4} d^{2} + 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{2} b^{4} c^{2} d^{4} + 6 \, a b^{5} c d^{5} + b^{6} d^{6}\right)} \sqrt{x^{4} - x^{3}}}{x^{2}}} - {\left(a^{3} c^{3} d^{2} + 3 \, a^{2} b c^{2} d^{3} + 3 \, a b^{2} c d^{4} + b^{3} d^{5}\right)} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \left(-\frac{a^{4} c^{4} + 4 \, a^{3} b c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} + 4 \, a b^{3} c d^{3} + b^{4} d^{4}}{c d^{7} - d^{8}}\right)^{\frac{1}{4}}}{{\left(a^{4} c^{4} + 4 \, a^{3} b c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} + 4 \, a b^{3} c d^{3} + b^{4} d^{4}\right)} x}\right) - 3 \, d x^{3} \left(-\frac{a^{4} c^{4} + 4 \, a^{3} b c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} + 4 \, a b^{3} c d^{3} + b^{4} d^{4}}{c d^{7} - d^{8}}\right)^{\frac{1}{4}} \log\left(\frac{{\left(c d^{5} - d^{6}\right)} x \left(-\frac{a^{4} c^{4} + 4 \, a^{3} b c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} + 4 \, a b^{3} c d^{3} + b^{4} d^{4}}{c d^{7} - d^{8}}\right)^{\frac{3}{4}} + {\left(a^{3} c^{3} + 3 \, a^{2} b c^{2} d + 3 \, a b^{2} c d^{2} + b^{3} d^{3}\right)} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 3 \, d x^{3} \left(-\frac{a^{4} c^{4} + 4 \, a^{3} b c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} + 4 \, a b^{3} c d^{3} + b^{4} d^{4}}{c d^{7} - d^{8}}\right)^{\frac{1}{4}} \log\left(-\frac{{\left(c d^{5} - d^{6}\right)} x \left(-\frac{a^{4} c^{4} + 4 \, a^{3} b c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} + 4 \, a b^{3} c d^{3} + b^{4} d^{4}}{c d^{7} - d^{8}}\right)^{\frac{3}{4}} - {\left(a^{3} c^{3} + 3 \, a^{2} b c^{2} d + 3 \, a b^{2} c d^{2} + b^{3} d^{3}\right)} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{3}{4}} a}{3 \, d x^{3}}"," ",0,"-1/3*(12*d*x^3*(-(a^4*c^4 + 4*a^3*b*c^3*d + 6*a^2*b^2*c^2*d^2 + 4*a*b^3*c*d^3 + b^4*d^4)/(c*d^7 - d^8))^(1/4)*arctan((d^2*x*(-(a^4*c^4 + 4*a^3*b*c^3*d + 6*a^2*b^2*c^2*d^2 + 4*a*b^3*c*d^3 + b^4*d^4)/(c*d^7 - d^8))^(1/4)*sqrt(-((a^4*c^5*d^3 - b^4*d^8 - (a^4 - 4*a^3*b)*c^4*d^4 - 2*(2*a^3*b - 3*a^2*b^2)*c^3*d^5 - 2*(3*a^2*b^2 - 2*a*b^3)*c^2*d^6 - (4*a*b^3 - b^4)*c*d^7)*x^2*sqrt(-(a^4*c^4 + 4*a^3*b*c^3*d + 6*a^2*b^2*c^2*d^2 + 4*a*b^3*c*d^3 + b^4*d^4)/(c*d^7 - d^8)) - (a^6*c^6 + 6*a^5*b*c^5*d + 15*a^4*b^2*c^4*d^2 + 20*a^3*b^3*c^3*d^3 + 15*a^2*b^4*c^2*d^4 + 6*a*b^5*c*d^5 + b^6*d^6)*sqrt(x^4 - x^3))/x^2) - (a^3*c^3*d^2 + 3*a^2*b*c^2*d^3 + 3*a*b^2*c*d^4 + b^3*d^5)*(x^4 - x^3)^(1/4)*(-(a^4*c^4 + 4*a^3*b*c^3*d + 6*a^2*b^2*c^2*d^2 + 4*a*b^3*c*d^3 + b^4*d^4)/(c*d^7 - d^8))^(1/4))/((a^4*c^4 + 4*a^3*b*c^3*d + 6*a^2*b^2*c^2*d^2 + 4*a*b^3*c*d^3 + b^4*d^4)*x)) - 3*d*x^3*(-(a^4*c^4 + 4*a^3*b*c^3*d + 6*a^2*b^2*c^2*d^2 + 4*a*b^3*c*d^3 + b^4*d^4)/(c*d^7 - d^8))^(1/4)*log(((c*d^5 - d^6)*x*(-(a^4*c^4 + 4*a^3*b*c^3*d + 6*a^2*b^2*c^2*d^2 + 4*a*b^3*c*d^3 + b^4*d^4)/(c*d^7 - d^8))^(3/4) + (a^3*c^3 + 3*a^2*b*c^2*d + 3*a*b^2*c*d^2 + b^3*d^3)*(x^4 - x^3)^(1/4))/x) + 3*d*x^3*(-(a^4*c^4 + 4*a^3*b*c^3*d + 6*a^2*b^2*c^2*d^2 + 4*a*b^3*c*d^3 + b^4*d^4)/(c*d^7 - d^8))^(1/4)*log(-((c*d^5 - d^6)*x*(-(a^4*c^4 + 4*a^3*b*c^3*d + 6*a^2*b^2*c^2*d^2 + 4*a*b^3*c*d^3 + b^4*d^4)/(c*d^7 - d^8))^(3/4) - (a^3*c^3 + 3*a^2*b*c^2*d + 3*a*b^2*c*d^2 + b^3*d^3)*(x^4 - x^3)^(1/4))/x) + 4*(x^4 - x^3)^(3/4)*a)/(d*x^3)","B",0
2575,-1,0,0,0.000000," ","integrate((-4+3*x)*((b*x^4+a*x-a)/(d*x^4+c*x-c))^(1/4)/(-1+x)/x,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2576,1,367,0,3.168786," ","integrate((x^3+1)^(2/3)*(2*x^6-2*x^3+1)/x^6/(2*x^6-x^3-1),x, algorithm=""fricas"")","-\frac{10 \cdot 4^{\frac{1}{3}} \sqrt{3} x^{5} \arctan\left(\frac{3 \cdot 4^{\frac{2}{3}} \sqrt{3} {\left(5 \, x^{7} - 4 \, x^{4} - x\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}} - 6 \cdot 4^{\frac{1}{3}} \sqrt{3} {\left(19 \, x^{8} + 16 \, x^{5} + x^{2}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}} - \sqrt{3} {\left(71 \, x^{9} + 111 \, x^{6} + 33 \, x^{3} + 1\right)}}{3 \, {\left(109 \, x^{9} + 105 \, x^{6} + 3 \, x^{3} - 1\right)}}\right) - 300 \, \sqrt{3} x^{5} \arctan\left(\frac{4 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} + 2 \, \sqrt{3} {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(x^{3} + 1\right)}}{7 \, x^{3} - 1}\right) - 10 \cdot 4^{\frac{1}{3}} x^{5} \log\left(\frac{3 \cdot 4^{\frac{2}{3}} {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - 6 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} x - 4^{\frac{1}{3}} {\left(x^{3} - 1\right)}}{x^{3} - 1}\right) + 5 \cdot 4^{\frac{1}{3}} x^{5} \log\left(\frac{6 \cdot 4^{\frac{1}{3}} {\left(5 \, x^{4} + x\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}} + 4^{\frac{2}{3}} {\left(19 \, x^{6} + 16 \, x^{3} + 1\right)} + 24 \, {\left(2 \, x^{5} + x^{2}\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x^{6} - 2 \, x^{3} + 1}\right) + 150 \, x^{5} \log\left(\frac{2 \, x^{3} + 3 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}} x + 1}{2 \, x^{3} + 1}\right) + 27 \, {\left(13 \, x^{3} - 2\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{270 \, x^{5}}"," ",0,"-1/270*(10*4^(1/3)*sqrt(3)*x^5*arctan(1/3*(3*4^(2/3)*sqrt(3)*(5*x^7 - 4*x^4 - x)*(x^3 + 1)^(2/3) - 6*4^(1/3)*sqrt(3)*(19*x^8 + 16*x^5 + x^2)*(x^3 + 1)^(1/3) - sqrt(3)*(71*x^9 + 111*x^6 + 33*x^3 + 1))/(109*x^9 + 105*x^6 + 3*x^3 - 1)) - 300*sqrt(3)*x^5*arctan((4*sqrt(3)*(x^3 + 1)^(1/3)*x^2 + 2*sqrt(3)*(x^3 + 1)^(2/3)*x + sqrt(3)*(x^3 + 1))/(7*x^3 - 1)) - 10*4^(1/3)*x^5*log((3*4^(2/3)*(x^3 + 1)^(1/3)*x^2 - 6*(x^3 + 1)^(2/3)*x - 4^(1/3)*(x^3 - 1))/(x^3 - 1)) + 5*4^(1/3)*x^5*log((6*4^(1/3)*(5*x^4 + x)*(x^3 + 1)^(2/3) + 4^(2/3)*(19*x^6 + 16*x^3 + 1) + 24*(2*x^5 + x^2)*(x^3 + 1)^(1/3))/(x^6 - 2*x^3 + 1)) + 150*x^5*log((2*x^3 + 3*(x^3 + 1)^(1/3)*x^2 + 3*(x^3 + 1)^(2/3)*x + 1)/(2*x^3 + 1)) + 27*(13*x^3 - 2)*(x^3 + 1)^(2/3))/x^5","B",0
2577,1,220,0,0.473568," ","integrate(2/(3+x)/(8*x^2-8*x+2)^(2/3),x, algorithm=""fricas"")","\frac{2 \cdot 7^{\frac{2}{3}} \sqrt{3} 2^{\frac{1}{3}} {\left(2 \, x - 1\right)} \arctan\left(-\frac{7^{\frac{1}{6}} \sqrt{3} {\left(7^{\frac{5}{6}} {\left(2 \, x - 1\right)} - 7 \cdot 7^{\frac{1}{6}} 2^{\frac{2}{3}} {\left(8 \, x^{2} - 8 \, x + 2\right)}^{\frac{1}{3}}\right)}}{21 \, {\left(2 \, x - 1\right)}}\right) - 7^{\frac{2}{3}} 2^{\frac{1}{3}} {\left(2 \, x - 1\right)} \log\left(-\frac{7^{\frac{2}{3}} 2^{\frac{1}{3}} {\left(8 \, x^{2} - 8 \, x + 2\right)}^{\frac{1}{3}} {\left(2 \, x - 1\right)} - 7^{\frac{1}{3}} 2^{\frac{2}{3}} {\left(4 \, x^{2} - 4 \, x + 1\right)} - 7 \, {\left(8 \, x^{2} - 8 \, x + 2\right)}^{\frac{2}{3}}}{4 \, x^{2} - 4 \, x + 1}\right) + 2 \cdot 7^{\frac{2}{3}} 2^{\frac{1}{3}} {\left(2 \, x - 1\right)} \log\left(\frac{7^{\frac{2}{3}} 2^{\frac{1}{3}} {\left(2 \, x - 1\right)} + 7 \, {\left(8 \, x^{2} - 8 \, x + 2\right)}^{\frac{1}{3}}}{2 \, x - 1}\right) - 42 \, {\left(8 \, x^{2} - 8 \, x + 2\right)}^{\frac{1}{3}}}{98 \, {\left(2 \, x - 1\right)}}"," ",0,"1/98*(2*7^(2/3)*sqrt(3)*2^(1/3)*(2*x - 1)*arctan(-1/21*7^(1/6)*sqrt(3)*(7^(5/6)*(2*x - 1) - 7*7^(1/6)*2^(2/3)*(8*x^2 - 8*x + 2)^(1/3))/(2*x - 1)) - 7^(2/3)*2^(1/3)*(2*x - 1)*log(-(7^(2/3)*2^(1/3)*(8*x^2 - 8*x + 2)^(1/3)*(2*x - 1) - 7^(1/3)*2^(2/3)*(4*x^2 - 4*x + 1) - 7*(8*x^2 - 8*x + 2)^(2/3))/(4*x^2 - 4*x + 1)) + 2*7^(2/3)*2^(1/3)*(2*x - 1)*log((7^(2/3)*2^(1/3)*(2*x - 1) + 7*(8*x^2 - 8*x + 2)^(1/3))/(2*x - 1)) - 42*(8*x^2 - 8*x + 2)^(1/3))/(2*x - 1)","A",0
2578,-1,0,0,0.000000," ","integrate((1-(-3+2*k)*x-(4+k)*x^2+3*k*x^3)/((1-x)*x*(-k*x+1))^(1/3)/(-1+(5+b)*x-(b*k+10)*x^2+10*x^3-5*x^4+x^5),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2579,1,1383,0,24.002803," ","integrate(1/x/((1+x)*(2*q*x+x^2+q))^(1/3),x, algorithm=""fricas"")","\left[\frac{\sqrt{3} q \sqrt{-\frac{1}{q^{\frac{2}{3}}}} \log\left(-\frac{{\left(q^{3} - 30 \, q^{2} - 51 \, q - 1\right)} x^{6} - 54 \, {\left(q^{3} + 6 \, q^{2} + 2 \, q\right)} x^{5} - 27 \, {\left(17 \, q^{3} + 26 \, q^{2} + 2 \, q\right)} x^{4} - 486 \, q^{3} x - 540 \, {\left(2 \, q^{3} + q^{2}\right)} x^{3} - 81 \, q^{3} - 135 \, {\left(8 \, q^{3} + q^{2}\right)} x^{2} - 9 \, {\left({\left(2 \, q^{2} - q - 1\right)} x^{4} + 6 \, {\left(q^{2} - q\right)} x^{3} + 3 \, {\left(q^{2} - q\right)} x^{2}\right)} {\left({\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x + q\right)}^{\frac{2}{3}} q^{\frac{1}{3}} + 9 \, {\left({\left(q^{2} + 7 \, q + 1\right)} x^{5} + {\left(19 \, q^{2} + 25 \, q + 1\right)} x^{4} + 9 \, {\left(7 \, q^{2} + 3 \, q\right)} x^{3} + 45 \, q^{2} x + 9 \, {\left(9 \, q^{2} + q\right)} x^{2} + 9 \, q^{2}\right)} {\left({\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x + q\right)}^{\frac{1}{3}} q^{\frac{2}{3}} - \sqrt{3} {\left(3 \, {\left({\left(4 \, q^{2} + 13 \, q + 1\right)} x^{4} + 6 \, {\left(7 \, q^{2} + 5 \, q\right)} x^{3} + 72 \, q^{2} x + 3 \, {\left(31 \, q^{2} + 5 \, q\right)} x^{2} + 18 \, q^{2}\right)} {\left({\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x + q\right)}^{\frac{2}{3}} q^{\frac{2}{3}} + 3 \, {\left({\left(q^{3} - 5 \, q^{2} - 5 \, q\right)} x^{5} - 5 \, {\left(q^{3} + 7 \, q^{2} + q\right)} x^{4} - 45 \, q^{3} x - 45 \, {\left(q^{3} + q^{2}\right)} x^{3} - 9 \, q^{3} - 15 \, {\left(5 \, q^{3} + q^{2}\right)} x^{2}\right)} {\left({\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x + q\right)}^{\frac{1}{3}} - {\left({\left(q^{3} + 24 \, q^{2} + 3 \, q - 1\right)} x^{6} + 54 \, {\left(q^{3} + 2 \, q^{2}\right)} x^{5} + 81 \, {\left(3 \, q^{3} + 2 \, q^{2}\right)} x^{4} + 162 \, q^{3} x + 108 \, {\left(4 \, q^{3} + q^{2}\right)} x^{3} + 27 \, q^{3} + 27 \, {\left(14 \, q^{3} + q^{2}\right)} x^{2}\right)} q^{\frac{1}{3}}\right)} \sqrt{-\frac{1}{q^{\frac{2}{3}}}}}{x^{6}}\right) + 2 \, q^{\frac{2}{3}} \log\left(\frac{{\left(q - 1\right)} q^{\frac{2}{3}} x^{2} - 3 \, {\left({\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x + q\right)}^{\frac{1}{3}} {\left(q x + q\right)} q^{\frac{1}{3}} + 3 \, {\left({\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x + q\right)}^{\frac{2}{3}} q}{x^{2}}\right) - q^{\frac{2}{3}} \log\left(\frac{3 \, {\left({\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x + q\right)}^{\frac{2}{3}} {\left({\left(2 \, q + 1\right)} x^{2} + 6 \, q x + 3 \, q\right)} q^{\frac{2}{3}} + 3 \, {\left({\left(q^{2} + 2 \, q\right)} x^{3} + 9 \, q^{2} x + {\left(7 \, q^{2} + 2 \, q\right)} x^{2} + 3 \, q^{2}\right)} {\left({\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x + q\right)}^{\frac{1}{3}} + {\left({\left(q^{2} + 7 \, q + 1\right)} x^{4} + 18 \, {\left(q^{2} + q\right)} x^{3} + 36 \, q^{2} x + 9 \, {\left(5 \, q^{2} + q\right)} x^{2} + 9 \, q^{2}\right)} q^{\frac{1}{3}}}{x^{4}}\right)}{12 \, q}, -\frac{2 \, \sqrt{3} q^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(6 \, {\left({\left(2 \, q^{2} - q - 1\right)} x^{4} + 6 \, {\left(q^{2} - q\right)} x^{3} + 3 \, {\left(q^{2} - q\right)} x^{2}\right)} {\left({\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x + q\right)}^{\frac{2}{3}} q^{\frac{2}{3}} - 6 \, {\left({\left(q^{3} + 7 \, q^{2} + q\right)} x^{5} + {\left(19 \, q^{3} + 25 \, q^{2} + q\right)} x^{4} + 45 \, q^{3} x + 9 \, {\left(7 \, q^{3} + 3 \, q^{2}\right)} x^{3} + 9 \, q^{3} + 9 \, {\left(9 \, q^{3} + q^{2}\right)} x^{2}\right)} {\left({\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x + q\right)}^{\frac{1}{3}} + {\left({\left(q^{3} - 12 \, q^{2} - 15 \, q - 1\right)} x^{6} - 18 \, {\left(q^{3} + 6 \, q^{2} + 2 \, q\right)} x^{5} - 9 \, {\left(17 \, q^{3} + 26 \, q^{2} + 2 \, q\right)} x^{4} - 162 \, q^{3} x - 180 \, {\left(2 \, q^{3} + q^{2}\right)} x^{3} - 27 \, q^{3} - 45 \, {\left(8 \, q^{3} + q^{2}\right)} x^{2}\right)} q^{\frac{1}{3}}\right)}}{3 \, {\left({\left(q^{3} + 24 \, q^{2} + 3 \, q - 1\right)} x^{6} + 54 \, {\left(q^{3} + 2 \, q^{2}\right)} x^{5} + 81 \, {\left(3 \, q^{3} + 2 \, q^{2}\right)} x^{4} + 162 \, q^{3} x + 108 \, {\left(4 \, q^{3} + q^{2}\right)} x^{3} + 27 \, q^{3} + 27 \, {\left(14 \, q^{3} + q^{2}\right)} x^{2}\right)} q^{\frac{1}{3}}}\right) - 2 \, q^{\frac{2}{3}} \log\left(\frac{{\left(q - 1\right)} q^{\frac{2}{3}} x^{2} - 3 \, {\left({\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x + q\right)}^{\frac{1}{3}} {\left(q x + q\right)} q^{\frac{1}{3}} + 3 \, {\left({\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x + q\right)}^{\frac{2}{3}} q}{x^{2}}\right) + q^{\frac{2}{3}} \log\left(\frac{3 \, {\left({\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x + q\right)}^{\frac{2}{3}} {\left({\left(2 \, q + 1\right)} x^{2} + 6 \, q x + 3 \, q\right)} q^{\frac{2}{3}} + 3 \, {\left({\left(q^{2} + 2 \, q\right)} x^{3} + 9 \, q^{2} x + {\left(7 \, q^{2} + 2 \, q\right)} x^{2} + 3 \, q^{2}\right)} {\left({\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x + q\right)}^{\frac{1}{3}} + {\left({\left(q^{2} + 7 \, q + 1\right)} x^{4} + 18 \, {\left(q^{2} + q\right)} x^{3} + 36 \, q^{2} x + 9 \, {\left(5 \, q^{2} + q\right)} x^{2} + 9 \, q^{2}\right)} q^{\frac{1}{3}}}{x^{4}}\right)}{12 \, q}\right]"," ",0,"[1/12*(sqrt(3)*q*sqrt(-1/q^(2/3))*log(-((q^3 - 30*q^2 - 51*q - 1)*x^6 - 54*(q^3 + 6*q^2 + 2*q)*x^5 - 27*(17*q^3 + 26*q^2 + 2*q)*x^4 - 486*q^3*x - 540*(2*q^3 + q^2)*x^3 - 81*q^3 - 135*(8*q^3 + q^2)*x^2 - 9*((2*q^2 - q - 1)*x^4 + 6*(q^2 - q)*x^3 + 3*(q^2 - q)*x^2)*((2*q + 1)*x^2 + x^3 + 3*q*x + q)^(2/3)*q^(1/3) + 9*((q^2 + 7*q + 1)*x^5 + (19*q^2 + 25*q + 1)*x^4 + 9*(7*q^2 + 3*q)*x^3 + 45*q^2*x + 9*(9*q^2 + q)*x^2 + 9*q^2)*((2*q + 1)*x^2 + x^3 + 3*q*x + q)^(1/3)*q^(2/3) - sqrt(3)*(3*((4*q^2 + 13*q + 1)*x^4 + 6*(7*q^2 + 5*q)*x^3 + 72*q^2*x + 3*(31*q^2 + 5*q)*x^2 + 18*q^2)*((2*q + 1)*x^2 + x^3 + 3*q*x + q)^(2/3)*q^(2/3) + 3*((q^3 - 5*q^2 - 5*q)*x^5 - 5*(q^3 + 7*q^2 + q)*x^4 - 45*q^3*x - 45*(q^3 + q^2)*x^3 - 9*q^3 - 15*(5*q^3 + q^2)*x^2)*((2*q + 1)*x^2 + x^3 + 3*q*x + q)^(1/3) - ((q^3 + 24*q^2 + 3*q - 1)*x^6 + 54*(q^3 + 2*q^2)*x^5 + 81*(3*q^3 + 2*q^2)*x^4 + 162*q^3*x + 108*(4*q^3 + q^2)*x^3 + 27*q^3 + 27*(14*q^3 + q^2)*x^2)*q^(1/3))*sqrt(-1/q^(2/3)))/x^6) + 2*q^(2/3)*log(((q - 1)*q^(2/3)*x^2 - 3*((2*q + 1)*x^2 + x^3 + 3*q*x + q)^(1/3)*(q*x + q)*q^(1/3) + 3*((2*q + 1)*x^2 + x^3 + 3*q*x + q)^(2/3)*q)/x^2) - q^(2/3)*log((3*((2*q + 1)*x^2 + x^3 + 3*q*x + q)^(2/3)*((2*q + 1)*x^2 + 6*q*x + 3*q)*q^(2/3) + 3*((q^2 + 2*q)*x^3 + 9*q^2*x + (7*q^2 + 2*q)*x^2 + 3*q^2)*((2*q + 1)*x^2 + x^3 + 3*q*x + q)^(1/3) + ((q^2 + 7*q + 1)*x^4 + 18*(q^2 + q)*x^3 + 36*q^2*x + 9*(5*q^2 + q)*x^2 + 9*q^2)*q^(1/3))/x^4))/q, -1/12*(2*sqrt(3)*q^(2/3)*arctan(1/3*sqrt(3)*(6*((2*q^2 - q - 1)*x^4 + 6*(q^2 - q)*x^3 + 3*(q^2 - q)*x^2)*((2*q + 1)*x^2 + x^3 + 3*q*x + q)^(2/3)*q^(2/3) - 6*((q^3 + 7*q^2 + q)*x^5 + (19*q^3 + 25*q^2 + q)*x^4 + 45*q^3*x + 9*(7*q^3 + 3*q^2)*x^3 + 9*q^3 + 9*(9*q^3 + q^2)*x^2)*((2*q + 1)*x^2 + x^3 + 3*q*x + q)^(1/3) + ((q^3 - 12*q^2 - 15*q - 1)*x^6 - 18*(q^3 + 6*q^2 + 2*q)*x^5 - 9*(17*q^3 + 26*q^2 + 2*q)*x^4 - 162*q^3*x - 180*(2*q^3 + q^2)*x^3 - 27*q^3 - 45*(8*q^3 + q^2)*x^2)*q^(1/3))/(((q^3 + 24*q^2 + 3*q - 1)*x^6 + 54*(q^3 + 2*q^2)*x^5 + 81*(3*q^3 + 2*q^2)*x^4 + 162*q^3*x + 108*(4*q^3 + q^2)*x^3 + 27*q^3 + 27*(14*q^3 + q^2)*x^2)*q^(1/3))) - 2*q^(2/3)*log(((q - 1)*q^(2/3)*x^2 - 3*((2*q + 1)*x^2 + x^3 + 3*q*x + q)^(1/3)*(q*x + q)*q^(1/3) + 3*((2*q + 1)*x^2 + x^3 + 3*q*x + q)^(2/3)*q)/x^2) + q^(2/3)*log((3*((2*q + 1)*x^2 + x^3 + 3*q*x + q)^(2/3)*((2*q + 1)*x^2 + 6*q*x + 3*q)*q^(2/3) + 3*((q^2 + 2*q)*x^3 + 9*q^2*x + (7*q^2 + 2*q)*x^2 + 3*q^2)*((2*q + 1)*x^2 + x^3 + 3*q*x + q)^(1/3) + ((q^2 + 7*q + 1)*x^4 + 18*(q^2 + q)*x^3 + 36*q^2*x + 9*(5*q^2 + q)*x^2 + 9*q^2)*q^(1/3))/x^4))/q]","B",0
2580,-1,0,0,0.000000," ","integrate((-1+2*x+(k^2-2*k)*x^2)/((1-x)*x*(-k*x+1))^(2/3)/(1-(b+2*k)*x+(k^2+b)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2581,-1,0,0,0.000000," ","integrate((3*k+(k^2-2)*x-3*k*x^2+k^2*x^3)/((-x^2+1)*(-k^2*x^2+1))^(1/3)/(1-d-(2+d)*k*x+(k^2+d)*x^2+d*k*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2582,-1,0,0,0.000000," ","integrate((3+2*(k^2+1)*x-(k^2+1)*x^2-4*k^2*x^3-k^2*x^4)/((-x^2+1)*(-k^2*x^2+1))^(2/3)/(1-d-(1+2*d)*x-(k^2+d)*x^2+k^2*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2583,1,350,0,0.518684," ","integrate((((-1+x)/(1+2*x))^(1/4)-3*((-1+x)/(1+2*x))^(3/4))/(-1+x)/(1+x)^2/(-1+2*x),x, algorithm=""fricas"")","-\frac{4 \, {\left(x + 1\right)} \sqrt{55819 \, \sqrt{2} + 24420} \arctan\left(\frac{1}{106162} \, \sqrt{55819 \, \sqrt{2} + 24420} {\left(37 \, \sqrt{2} - 330\right)} \sqrt{\sqrt{2} + \sqrt{\frac{x - 1}{2 \, x + 1}}} - \frac{1}{106162} \, \sqrt{55819 \, \sqrt{2} + 24420} {\left(37 \, \sqrt{2} - 330\right)} \left(\frac{x - 1}{2 \, x + 1}\right)^{\frac{1}{4}}\right) - {\left(x + 1\right)} \sqrt{55819 \, \sqrt{2} - 24420} \log\left(\sqrt{55819 \, \sqrt{2} - 24420} {\left(165 \, \sqrt{2} + 37\right)} + 53081 \, \left(\frac{x - 1}{2 \, x + 1}\right)^{\frac{1}{4}}\right) + {\left(x + 1\right)} \sqrt{55819 \, \sqrt{2} - 24420} \log\left(-\sqrt{55819 \, \sqrt{2} - 24420} {\left(165 \, \sqrt{2} + 37\right)} + 53081 \, \left(\frac{x - 1}{2 \, x + 1}\right)^{\frac{1}{4}}\right) + 32 \, {\left(x + 1\right)} \arctan\left(2 \, \left(\frac{x - 1}{2 \, x + 1}\right)^{\frac{1}{4}} + 1\right) + 32 \, {\left(x + 1\right)} \arctan\left(2 \, \left(\frac{x - 1}{2 \, x + 1}\right)^{\frac{1}{4}} - 1\right) - 80 \, {\left(x + 1\right)} \log\left(2 \, \sqrt{\frac{x - 1}{2 \, x + 1}} + 2 \, \left(\frac{x - 1}{2 \, x + 1}\right)^{\frac{1}{4}} + 1\right) + 80 \, {\left(x + 1\right)} \log\left(2 \, \sqrt{\frac{x - 1}{2 \, x + 1}} - 2 \, \left(\frac{x - 1}{2 \, x + 1}\right)^{\frac{1}{4}} + 1\right) + 72 \, {\left(2 \, x + 1\right)} \left(\frac{x - 1}{2 \, x + 1}\right)^{\frac{3}{4}} - 24 \, {\left(2 \, x + 1\right)} \left(\frac{x - 1}{2 \, x + 1}\right)^{\frac{1}{4}}}{144 \, {\left(x + 1\right)}}"," ",0,"-1/144*(4*(x + 1)*sqrt(55819*sqrt(2) + 24420)*arctan(1/106162*sqrt(55819*sqrt(2) + 24420)*(37*sqrt(2) - 330)*sqrt(sqrt(2) + sqrt((x - 1)/(2*x + 1))) - 1/106162*sqrt(55819*sqrt(2) + 24420)*(37*sqrt(2) - 330)*((x - 1)/(2*x + 1))^(1/4)) - (x + 1)*sqrt(55819*sqrt(2) - 24420)*log(sqrt(55819*sqrt(2) - 24420)*(165*sqrt(2) + 37) + 53081*((x - 1)/(2*x + 1))^(1/4)) + (x + 1)*sqrt(55819*sqrt(2) - 24420)*log(-sqrt(55819*sqrt(2) - 24420)*(165*sqrt(2) + 37) + 53081*((x - 1)/(2*x + 1))^(1/4)) + 32*(x + 1)*arctan(2*((x - 1)/(2*x + 1))^(1/4) + 1) + 32*(x + 1)*arctan(2*((x - 1)/(2*x + 1))^(1/4) - 1) - 80*(x + 1)*log(2*sqrt((x - 1)/(2*x + 1)) + 2*((x - 1)/(2*x + 1))^(1/4) + 1) + 80*(x + 1)*log(2*sqrt((x - 1)/(2*x + 1)) - 2*((x - 1)/(2*x + 1))^(1/4) + 1) + 72*(2*x + 1)*((x - 1)/(2*x + 1))^(3/4) - 24*(2*x + 1)*((x - 1)/(2*x + 1))^(1/4))/(x + 1)","A",0
2584,-1,0,0,0.000000," ","integrate((p*x^2-q)*(p^2*x^4+q^2)^(1/2)/(b*x^3+a*(p*x^2+q)^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2585,-1,0,0,0.000000," ","integrate((p*x^2-q)*(p^2*x^4+q^2)^(1/2)/(b*x^3+a*(p*x^2+q)^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2586,1,385,0,2.140313," ","integrate((x^2-1)^2/(x^2+1)^2/(x^4+1)^(1/2)/(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{4 \, {\left(x^{2} + 1\right)} \sqrt{\sqrt{2} + 1} \arctan\left(\frac{{\left(x^{2} - {\left(x^{2} + \sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 3} + \sqrt{x^{4} + 1} {\left(\sqrt{-2 \, \sqrt{2} + 3} - 1\right)} + \sqrt{2} - 1\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} + 1}}{2 \, x}\right) + 2 \, \sqrt{2} {\left(x^{2} + 1\right)} \arctan\left(-\frac{{\left(\sqrt{2} x^{2} - \sqrt{2} \sqrt{x^{4} + 1}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{2 \, x}\right) + {\left(x^{2} + 1\right)} \sqrt{\sqrt{2} - 1} \log\left(\frac{\sqrt{2} x^{2} + 2 \, x^{2} + {\left(x^{3} + \sqrt{2} {\left(x^{3} + 2 \, x\right)} - \sqrt{x^{4} + 1} {\left(\sqrt{2} x + x\right)} + 3 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} - 1} + \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)}}{x^{2} + 1}\right) - {\left(x^{2} + 1\right)} \sqrt{\sqrt{2} - 1} \log\left(\frac{\sqrt{2} x^{2} + 2 \, x^{2} - {\left(x^{3} + \sqrt{2} {\left(x^{3} + 2 \, x\right)} - \sqrt{x^{4} + 1} {\left(\sqrt{2} x + x\right)} + 3 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} - 1} + \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)}}{x^{2} + 1}\right) + 4 \, {\left(x^{3} - \sqrt{x^{4} + 1} x - x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{4 \, {\left(x^{2} + 1\right)}}"," ",0,"-1/4*(4*(x^2 + 1)*sqrt(sqrt(2) + 1)*arctan(1/2*(x^2 - (x^2 + sqrt(2) + 1)*sqrt(-2*sqrt(2) + 3) + sqrt(x^4 + 1)*(sqrt(-2*sqrt(2) + 3) - 1) + sqrt(2) - 1)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) + 1)/x) + 2*sqrt(2)*(x^2 + 1)*arctan(-1/2*(sqrt(2)*x^2 - sqrt(2)*sqrt(x^4 + 1))*sqrt(x^2 + sqrt(x^4 + 1))/x) + (x^2 + 1)*sqrt(sqrt(2) - 1)*log((sqrt(2)*x^2 + 2*x^2 + (x^3 + sqrt(2)*(x^3 + 2*x) - sqrt(x^4 + 1)*(sqrt(2)*x + x) + 3*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) - 1) + sqrt(x^4 + 1)*(sqrt(2) + 1))/(x^2 + 1)) - (x^2 + 1)*sqrt(sqrt(2) - 1)*log((sqrt(2)*x^2 + 2*x^2 - (x^3 + sqrt(2)*(x^3 + 2*x) - sqrt(x^4 + 1)*(sqrt(2)*x + x) + 3*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) - 1) + sqrt(x^4 + 1)*(sqrt(2) + 1))/(x^2 + 1)) + 4*(x^3 - sqrt(x^4 + 1)*x - x)*sqrt(x^2 + sqrt(x^4 + 1)))/(x^2 + 1)","B",0
2587,-1,0,0,0.000000," ","integrate((-3+2*(k^2+1)*x+(k^2+1)*x^2-4*k^2*x^3+k^2*x^4)/((-x^2+1)*(-k^2*x^2+1))^(2/3)/(-1+d+(-1-2*d)*x+(k^2+d)*x^2+k^2*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2588,-1,0,0,0.000000," ","integrate(x^3*(-2+(1+k)*x)/((1-x)*x*(-k*x+1))^(2/3)/(1-(2+2*k)*x+(k^2+4*k+1)*x^2-(2*k^2+2*k)*x^3+(k^2-b)*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2589,1,389,0,2.186824," ","integrate((x^2+1)^2/(x^2-1)^2/(x^4+1)^(1/2)/(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} + 1} \arctan\left(-\frac{{\left(x^{2} + {\left(x^{2} - \sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 3} - \sqrt{x^{4} + 1} {\left(\sqrt{-2 \, \sqrt{2} + 3} + 1\right)} - \sqrt{2} + 1\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} + 1}}{2 \, x}\right) - 2 \, \sqrt{2} {\left(x^{2} - 1\right)} \arctan\left(-\frac{{\left(\sqrt{2} x^{2} - \sqrt{2} \sqrt{x^{4} + 1}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{2 \, x}\right) - {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} - 1} \log\left(-\frac{\sqrt{2} x^{2} + 2 \, x^{2} + {\left(x^{3} + \sqrt{2} {\left(x^{3} - 2 \, x\right)} - \sqrt{x^{4} + 1} {\left(\sqrt{2} x + x\right)} - 3 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} - 1} + \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)}}{x^{2} - 1}\right) + {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} - 1} \log\left(-\frac{\sqrt{2} x^{2} + 2 \, x^{2} - {\left(x^{3} + \sqrt{2} {\left(x^{3} - 2 \, x\right)} - \sqrt{x^{4} + 1} {\left(\sqrt{2} x + x\right)} - 3 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} - 1} + \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)}}{x^{2} - 1}\right) - 4 \, {\left(x^{3} - \sqrt{x^{4} + 1} x + x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{4 \, {\left(x^{2} - 1\right)}}"," ",0,"1/4*(4*(x^2 - 1)*sqrt(sqrt(2) + 1)*arctan(-1/2*(x^2 + (x^2 - sqrt(2) - 1)*sqrt(-2*sqrt(2) + 3) - sqrt(x^4 + 1)*(sqrt(-2*sqrt(2) + 3) + 1) - sqrt(2) + 1)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) + 1)/x) - 2*sqrt(2)*(x^2 - 1)*arctan(-1/2*(sqrt(2)*x^2 - sqrt(2)*sqrt(x^4 + 1))*sqrt(x^2 + sqrt(x^4 + 1))/x) - (x^2 - 1)*sqrt(sqrt(2) - 1)*log(-(sqrt(2)*x^2 + 2*x^2 + (x^3 + sqrt(2)*(x^3 - 2*x) - sqrt(x^4 + 1)*(sqrt(2)*x + x) - 3*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) - 1) + sqrt(x^4 + 1)*(sqrt(2) + 1))/(x^2 - 1)) + (x^2 - 1)*sqrt(sqrt(2) - 1)*log(-(sqrt(2)*x^2 + 2*x^2 - (x^3 + sqrt(2)*(x^3 - 2*x) - sqrt(x^4 + 1)*(sqrt(2)*x + x) - 3*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) - 1) + sqrt(x^4 + 1)*(sqrt(2) + 1))/(x^2 - 1)) - 4*(x^3 - sqrt(x^4 + 1)*x + x)*sqrt(x^2 + sqrt(x^4 + 1)))/(x^2 - 1)","B",0
2590,1,391,0,1.709439," ","integrate((x^2-1)^2*(x^2+(x^4+1)^(1/2))^(1/2)/(x^2+1)^2/(x^4+1)^(1/2),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{2} + 1\right)} \sqrt{\sqrt{2} - 1} \arctan\left(\frac{{\left(\sqrt{2} x^{2} + x^{2} + \sqrt{x^{4} + 1} {\left({\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 3} - \sqrt{2} - 1\right)} - {\left(x^{2} + \sqrt{2} {\left(x^{2} + 2\right)} + 3\right)} \sqrt{-2 \, \sqrt{2} + 3} + 1\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} - 1}}{2 \, x}\right) + \sqrt{2} {\left(x^{2} + 1\right)} \log\left(4 \, x^{4} + 4 \, \sqrt{x^{4} + 1} x^{2} + 2 \, {\left(\sqrt{2} x^{3} + \sqrt{2} \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 1\right) - {\left(x^{2} + 1\right)} \sqrt{\sqrt{2} + 1} \log\left(\frac{\sqrt{2} x^{2} + 2 \, x^{2} + {\left(x^{3} + \sqrt{2} x - \sqrt{x^{4} + 1} x + x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} + 1} + \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)}}{x^{2} + 1}\right) + {\left(x^{2} + 1\right)} \sqrt{\sqrt{2} + 1} \log\left(\frac{\sqrt{2} x^{2} + 2 \, x^{2} - {\left(x^{3} + \sqrt{2} x - \sqrt{x^{4} + 1} x + x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} + 1} + \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)}}{x^{2} + 1}\right) - 4 \, {\left(x^{3} - \sqrt{x^{4} + 1} x + x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{4 \, {\left(x^{2} + 1\right)}}"," ",0,"1/4*(4*(x^2 + 1)*sqrt(sqrt(2) - 1)*arctan(1/2*(sqrt(2)*x^2 + x^2 + sqrt(x^4 + 1)*((sqrt(2) + 1)*sqrt(-2*sqrt(2) + 3) - sqrt(2) - 1) - (x^2 + sqrt(2)*(x^2 + 2) + 3)*sqrt(-2*sqrt(2) + 3) + 1)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) - 1)/x) + sqrt(2)*(x^2 + 1)*log(4*x^4 + 4*sqrt(x^4 + 1)*x^2 + 2*(sqrt(2)*x^3 + sqrt(2)*sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1) - (x^2 + 1)*sqrt(sqrt(2) + 1)*log((sqrt(2)*x^2 + 2*x^2 + (x^3 + sqrt(2)*x - sqrt(x^4 + 1)*x + x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) + 1) + sqrt(x^4 + 1)*(sqrt(2) + 1))/(x^2 + 1)) + (x^2 + 1)*sqrt(sqrt(2) + 1)*log((sqrt(2)*x^2 + 2*x^2 - (x^3 + sqrt(2)*x - sqrt(x^4 + 1)*x + x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) + 1) + sqrt(x^4 + 1)*(sqrt(2) + 1))/(x^2 + 1)) - 4*(x^3 - sqrt(x^4 + 1)*x + x)*sqrt(x^2 + sqrt(x^4 + 1)))/(x^2 + 1)","B",0
2591,-1,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2592,-1,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2593,-2,0,0,0.000000," ","integrate((-2+x)*(x^3-x^2+x)^(1/3)/(-1+x)/(x^2+x-1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
2594,1,204,0,0.490793," ","integrate((x^2+1)*(x^3+x^2)^(1/3)/(x^2-1),x, algorithm=""fricas"")","-\sqrt{3} 2^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} 2^{\frac{2}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} + \sqrt{3} x}{3 \, x}\right) + \frac{17}{9} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{1}{6} \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(3 \, x + 1\right)} + 2^{\frac{1}{3}} \log\left(-\frac{2^{\frac{1}{3}} x - {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{2} \cdot 2^{\frac{1}{3}} \log\left(\frac{2^{\frac{2}{3}} x^{2} + 2^{\frac{1}{3}} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - \frac{17}{9} \, \log\left(-\frac{x - {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{17}{18} \, \log\left(\frac{x^{2} + {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-sqrt(3)*2^(1/3)*arctan(1/3*(sqrt(3)*2^(2/3)*(x^3 + x^2)^(1/3) + sqrt(3)*x)/x) + 17/9*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + x^2)^(1/3))/x) + 1/6*(x^3 + x^2)^(1/3)*(3*x + 1) + 2^(1/3)*log(-(2^(1/3)*x - (x^3 + x^2)^(1/3))/x) - 1/2*2^(1/3)*log((2^(2/3)*x^2 + 2^(1/3)*(x^3 + x^2)^(1/3)*x + (x^3 + x^2)^(2/3))/x^2) - 17/9*log(-(x - (x^3 + x^2)^(1/3))/x) + 17/18*log((x^2 + (x^3 + x^2)^(1/3)*x + (x^3 + x^2)^(2/3))/x^2)","A",0
2595,-1,0,0,0.000000," ","integrate((a*x-b)/x/(a^3*x^3-b^3)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2596,-2,0,0,0.000000," ","integrate((x^3-2)*(x^4+2*x^3+x)^(1/3)/(x^3+1)/(x^3+x^2+1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
2597,-1,0,0,0.000000," ","integrate(x^4/(x^4-1)^(1/4)/(2*x^8-2*x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2598,-1,0,0,0.000000," ","integrate((x^4-1)^(3/4)/(2*x^8-2*x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2599,-1,0,0,0.000000," ","integrate(x^4/(x^4+1)^(1/4)/(2*x^8+2*x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2600,-1,0,0,0.000000," ","integrate((x^4+1)^(3/4)/(2*x^8+2*x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2601,1,367,0,0.816030," ","integrate(x^2*(a^2*x^2-b*x)^(1/2)/(a*x^2+x*(a^2*x^2-b*x)^(1/2))^(3/2),x, algorithm=""fricas"")","\left[\frac{15 \, \sqrt{2} \sqrt{a} b^{3} x \log\left(-\frac{4 \, a^{2} x^{2} + 4 \, \sqrt{a^{2} x^{2} - b x} a x - b x - 2 \, {\left(\sqrt{2} a^{\frac{3}{2}} x + \sqrt{2} \sqrt{a^{2} x^{2} - b x} \sqrt{a}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x}}{x}\right) - 4 \, {\left(96 \, a^{6} x^{3} - 152 \, a^{4} b x^{2} - 5 \, a^{2} b^{2} x - {\left(96 \, a^{5} x^{2} - 104 \, a^{3} b x - 15 \, a b^{2}\right)} \sqrt{a^{2} x^{2} - b x}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x}}{480 \, a^{3} b^{2} x}, \frac{15 \, \sqrt{2} \sqrt{-a} b^{3} x \arctan\left(\frac{\sqrt{2} \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x} \sqrt{-a}}{2 \, a x}\right) - 2 \, {\left(96 \, a^{6} x^{3} - 152 \, a^{4} b x^{2} - 5 \, a^{2} b^{2} x - {\left(96 \, a^{5} x^{2} - 104 \, a^{3} b x - 15 \, a b^{2}\right)} \sqrt{a^{2} x^{2} - b x}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x}}{240 \, a^{3} b^{2} x}\right]"," ",0,"[1/480*(15*sqrt(2)*sqrt(a)*b^3*x*log(-(4*a^2*x^2 + 4*sqrt(a^2*x^2 - b*x)*a*x - b*x - 2*(sqrt(2)*a^(3/2)*x + sqrt(2)*sqrt(a^2*x^2 - b*x)*sqrt(a))*sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x))/x) - 4*(96*a^6*x^3 - 152*a^4*b*x^2 - 5*a^2*b^2*x - (96*a^5*x^2 - 104*a^3*b*x - 15*a*b^2)*sqrt(a^2*x^2 - b*x))*sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x))/(a^3*b^2*x), 1/240*(15*sqrt(2)*sqrt(-a)*b^3*x*arctan(1/2*sqrt(2)*sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x)*sqrt(-a)/(a*x)) - 2*(96*a^6*x^3 - 152*a^4*b*x^2 - 5*a^2*b^2*x - (96*a^5*x^2 - 104*a^3*b*x - 15*a*b^2)*sqrt(a^2*x^2 - b*x))*sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x))/(a^3*b^2*x)]","A",0
2602,1,369,0,6.475198," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/(1+x)/(x^4+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2 \, \sqrt{2} - 2} \arctan\left(\frac{{\left(2 \, x^{2} - \sqrt{2} {\left(x^{3} - x^{2} + x + 1\right)} + \sqrt{x^{4} + 1} {\left(\sqrt{2} {\left(x - 1\right)} - 2\right)} - 2 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{2 \, \sqrt{2} - 2} + {\left(x^{2} + \sqrt{2} \sqrt{x^{4} + 1} + 1\right)} \sqrt{2 \, \sqrt{2} + 2} \sqrt{2 \, \sqrt{2} - 2}}{2 \, {\left(x^{2} - 2 \, x + 1\right)}}\right) - \frac{1}{8} \, \sqrt{2 \, \sqrt{2} + 2} \log\left(-\frac{{\left(2 \, x^{3} - \sqrt{2} {\left(x^{3} - x^{2} - x - 1\right)} + \sqrt{x^{4} + 1} {\left(\sqrt{2} {\left(x - 1\right)} - 2 \, x\right)} - 2\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + {\left(x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + \sqrt{x^{4} + 1} {\left(\sqrt{2} - 2\right)} + 1\right)} \sqrt{2 \, \sqrt{2} + 2}}{x^{2} + 2 \, x + 1}\right) + \frac{1}{8} \, \sqrt{2 \, \sqrt{2} + 2} \log\left(-\frac{{\left(2 \, x^{3} - \sqrt{2} {\left(x^{3} - x^{2} - x - 1\right)} + \sqrt{x^{4} + 1} {\left(\sqrt{2} {\left(x - 1\right)} - 2 \, x\right)} - 2\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} - {\left(x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + \sqrt{x^{4} + 1} {\left(\sqrt{2} - 2\right)} + 1\right)} \sqrt{2 \, \sqrt{2} + 2}}{x^{2} + 2 \, x + 1}\right)"," ",0,"1/2*sqrt(2*sqrt(2) - 2)*arctan(1/2*((2*x^2 - sqrt(2)*(x^3 - x^2 + x + 1) + sqrt(x^4 + 1)*(sqrt(2)*(x - 1) - 2) - 2*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(2*sqrt(2) - 2) + (x^2 + sqrt(2)*sqrt(x^4 + 1) + 1)*sqrt(2*sqrt(2) + 2)*sqrt(2*sqrt(2) - 2))/(x^2 - 2*x + 1)) - 1/8*sqrt(2*sqrt(2) + 2)*log(-((2*x^3 - sqrt(2)*(x^3 - x^2 - x - 1) + sqrt(x^4 + 1)*(sqrt(2)*(x - 1) - 2*x) - 2)*sqrt(x^2 + sqrt(x^4 + 1)) + (x^2 - sqrt(2)*(x^2 + 1) + sqrt(x^4 + 1)*(sqrt(2) - 2) + 1)*sqrt(2*sqrt(2) + 2))/(x^2 + 2*x + 1)) + 1/8*sqrt(2*sqrt(2) + 2)*log(-((2*x^3 - sqrt(2)*(x^3 - x^2 - x - 1) + sqrt(x^4 + 1)*(sqrt(2)*(x - 1) - 2*x) - 2)*sqrt(x^2 + sqrt(x^4 + 1)) - (x^2 - sqrt(2)*(x^2 + 1) + sqrt(x^4 + 1)*(sqrt(2) - 2) + 1)*sqrt(2*sqrt(2) + 2))/(x^2 + 2*x + 1))","B",0
2603,-1,0,0,0.000000," ","integrate((a*x^2-b)/(2*a*x^3-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2604,-1,0,0,0.000000," ","integrate((a*x^2-b)/(2*a*x^3-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2605,-1,0,0,0.000000," ","integrate((2*a*b*x-3*a*x^2+x^3)/(x^2*(-a+x)*(-b+x))^(1/3)/(-a^2+2*a*x-(b*d+1)*x^2+d*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2606,-1,0,0,0.000000," ","integrate(((k^2-2)*x+k^2*x^3)/((-x^2+1)*(-k^2*x^2+1))^(1/3)/(1-d+(d*k^2-2)*x^2+x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2607,1,415,0,0.606896," ","integrate((1+2*x)*(x^4+x^3)^(1/4)/(x^2+x-1),x, algorithm=""fricas"")","2 \, \sqrt{2 \, \sqrt{5} - 2} \arctan\left(\frac{\sqrt{2} x \sqrt{2 \, \sqrt{5} - 2} \sqrt{\frac{\sqrt{5} x^{2} + x^{2} + 2 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} \sqrt{2 \, \sqrt{5} - 2}}{4 \, x}\right) - 2 \, \sqrt{2 \, \sqrt{5} + 2} \arctan\left(\frac{\sqrt{2} x \sqrt{2 \, \sqrt{5} + 2} \sqrt{\frac{\sqrt{5} x^{2} - x^{2} + 2 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} \sqrt{2 \, \sqrt{5} + 2}}{4 \, x}\right) + \frac{1}{2} \, \sqrt{2 \, \sqrt{5} + 2} \log\left(\frac{{\left(\sqrt{5} x - x\right)} \sqrt{2 \, \sqrt{5} + 2} + 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \sqrt{2 \, \sqrt{5} + 2} \log\left(-\frac{{\left(\sqrt{5} x - x\right)} \sqrt{2 \, \sqrt{5} + 2} - 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \sqrt{2 \, \sqrt{5} - 2} \log\left(\frac{{\left(\sqrt{5} x + x\right)} \sqrt{2 \, \sqrt{5} - 2} + 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \sqrt{2 \, \sqrt{5} - 2} \log\left(-\frac{{\left(\sqrt{5} x + x\right)} \sqrt{2 \, \sqrt{5} - 2} - 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 2 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} - \arctan\left(\frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \log\left(\frac{x + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \log\left(-\frac{x - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"2*sqrt(2*sqrt(5) - 2)*arctan(1/4*(sqrt(2)*x*sqrt(2*sqrt(5) - 2)*sqrt((sqrt(5)*x^2 + x^2 + 2*sqrt(x^4 + x^3))/x^2) - 2*(x^4 + x^3)^(1/4)*sqrt(2*sqrt(5) - 2))/x) - 2*sqrt(2*sqrt(5) + 2)*arctan(1/4*(sqrt(2)*x*sqrt(2*sqrt(5) + 2)*sqrt((sqrt(5)*x^2 - x^2 + 2*sqrt(x^4 + x^3))/x^2) - 2*(x^4 + x^3)^(1/4)*sqrt(2*sqrt(5) + 2))/x) + 1/2*sqrt(2*sqrt(5) + 2)*log(((sqrt(5)*x - x)*sqrt(2*sqrt(5) + 2) + 4*(x^4 + x^3)^(1/4))/x) - 1/2*sqrt(2*sqrt(5) + 2)*log(-((sqrt(5)*x - x)*sqrt(2*sqrt(5) + 2) - 4*(x^4 + x^3)^(1/4))/x) - 1/2*sqrt(2*sqrt(5) - 2)*log(((sqrt(5)*x + x)*sqrt(2*sqrt(5) - 2) + 4*(x^4 + x^3)^(1/4))/x) + 1/2*sqrt(2*sqrt(5) - 2)*log(-((sqrt(5)*x + x)*sqrt(2*sqrt(5) - 2) - 4*(x^4 + x^3)^(1/4))/x) + 2*(x^4 + x^3)^(1/4) - arctan((x^4 + x^3)^(1/4)/x) - 1/2*log((x + (x^4 + x^3)^(1/4))/x) + 1/2*log(-(x - (x^4 + x^3)^(1/4))/x)","B",0
2608,-1,0,0,0.000000," ","integrate(((2*k^2-1)*x-2*k^4*x^3+k^4*x^5)/((-x^2+1)*(-k^2*x^2+1))^(2/3)/(-1+d+(-2*d*k^2+1)*x^2+d*k^4*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2609,-1,0,0,0.000000," ","integrate((-a+x)*(-b+x)*(-2*a*b+(a+b)*x)/(x*(-a+x)*(-b+x))^(1/3)/(a^2*b^2*d-2*a*b*(a+b)*d*x+(a^2+4*a*b+b^2)*d*x^2-2*(a+b)*d*x^3+(-1+d)*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2610,1,9711,0,11.454795," ","integrate((a^2*x^3+b^2)^(1/2)*(a^2*x^6+c*x^3+2*b^2)/x/(a^2*x^6+b^2),x, algorithm=""fricas"")","\frac{4 \, \sqrt{2} a^{4} b^{2} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2} - {\left(a^{4} b^{4} - 2 \, a^{4} b^{2} c - a^{2} b^{2} c^{2}\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}}}{a^{6} b^{4} + 4 \, a^{4} b^{4} c - 4 \, a^{2} b^{2} c^{3} + a^{2} c^{4} - 2 \, {\left(a^{4} b^{2} - 2 \, a^{2} b^{4}\right)} c^{2}}} \sqrt{\frac{a^{4} b^{4} + 4 \, a^{2} b^{4} c - 4 \, b^{2} c^{3} + c^{4} - 2 \, {\left(a^{2} b^{2} - 2 \, b^{4}\right)} c^{2}}{a^{2} b^{2}}} \left(\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} \sqrt{a^{2} x^{3} + b^{2}} {\left({\left(a^{10} b^{8} + 2 \, a^{8} b^{8} c + 2 \, a^{6} b^{6} c^{3} - a^{6} b^{4} c^{4}\right)} \sqrt{\frac{a^{4} b^{4} + 4 \, a^{2} b^{4} c - 4 \, b^{2} c^{3} + c^{4} - 2 \, {\left(a^{2} b^{2} - 2 \, b^{4}\right)} c^{2}}{a^{2} b^{2}}} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}} + {\left(a^{10} b^{10} - a^{8} b^{8} c^{2} - 5 \, a^{6} b^{6} c^{4} - 3 \, a^{4} b^{4} c^{6} + a^{4} b^{2} c^{7} + {\left(a^{6} b^{4} + 2 \, a^{4} b^{6}\right)} c^{5} - {\left(a^{8} b^{6} - 4 \, a^{6} b^{8}\right)} c^{3} - {\left(a^{10} b^{8} - 2 \, a^{8} b^{10}\right)} c\right)} \sqrt{\frac{a^{4} b^{4} + 4 \, a^{2} b^{4} c - 4 \, b^{2} c^{3} + c^{4} - 2 \, {\left(a^{2} b^{2} - 2 \, b^{4}\right)} c^{2}}{a^{2} b^{2}}}\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2} - {\left(a^{4} b^{4} - 2 \, a^{4} b^{2} c - a^{2} b^{2} c^{2}\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}}}{a^{6} b^{4} + 4 \, a^{4} b^{4} c - 4 \, a^{2} b^{2} c^{3} + a^{2} c^{4} - 2 \, {\left(a^{4} b^{2} - 2 \, a^{2} b^{4}\right)} c^{2}}} \left(\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}\right)^{\frac{3}{4}} + \sqrt{2} {\left(a^{6} b^{4} \sqrt{\frac{a^{4} b^{4} + 4 \, a^{2} b^{4} c - 4 \, b^{2} c^{3} + c^{4} - 2 \, {\left(a^{2} b^{2} - 2 \, b^{4}\right)} c^{2}}{a^{2} b^{2}}} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}} + {\left(a^{6} b^{6} - a^{6} b^{4} c + a^{4} b^{4} c^{2} - a^{4} b^{2} c^{3}\right)} \sqrt{\frac{a^{4} b^{4} + 4 \, a^{2} b^{4} c - 4 \, b^{2} c^{3} + c^{4} - 2 \, {\left(a^{2} b^{2} - 2 \, b^{4}\right)} c^{2}}{a^{2} b^{2}}}\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2} - {\left(a^{4} b^{4} - 2 \, a^{4} b^{2} c - a^{2} b^{2} c^{2}\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}}}{a^{6} b^{4} + 4 \, a^{4} b^{4} c - 4 \, a^{2} b^{2} c^{3} + a^{2} c^{4} - 2 \, {\left(a^{4} b^{2} - 2 \, a^{2} b^{4}\right)} c^{2}}} \sqrt{\frac{a^{10} b^{10} + a^{8} b^{12} + {\left(a^{2} b^{2} + b^{4}\right)} c^{8} - 4 \, {\left(a^{2} b^{4} + b^{6}\right)} c^{7} + 4 \, {\left(a^{2} b^{6} + b^{8}\right)} c^{6} - 4 \, {\left(a^{4} b^{6} + a^{2} b^{8}\right)} c^{5} - 2 \, {\left(a^{6} b^{6} - 3 \, a^{4} b^{8} - 4 \, a^{2} b^{10}\right)} c^{4} + 4 \, {\left(a^{6} b^{8} + a^{4} b^{10}\right)} c^{3} + {\left(a^{12} b^{8} + a^{10} b^{10} + {\left(a^{4} + a^{2} b^{2}\right)} c^{8} - 4 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{7} + 4 \, {\left(a^{4} b^{4} + a^{2} b^{6}\right)} c^{6} - 4 \, {\left(a^{6} b^{4} + a^{4} b^{6}\right)} c^{5} - 2 \, {\left(a^{8} b^{4} - 3 \, a^{6} b^{6} - 4 \, a^{4} b^{8}\right)} c^{4} + 4 \, {\left(a^{8} b^{6} + a^{6} b^{8}\right)} c^{3} + 4 \, {\left(a^{8} b^{8} + a^{6} b^{10}\right)} c^{2} + 4 \, {\left(a^{10} b^{8} + a^{8} b^{10}\right)} c\right)} x^{3} + 4 \, {\left(a^{6} b^{10} + a^{4} b^{12}\right)} c^{2} + \sqrt{2} {\left(a^{10} b^{8} + a^{8} b^{10} + {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{6} - 4 \, {\left(a^{4} b^{4} + a^{2} b^{6}\right)} c^{5} - {\left(a^{6} b^{4} - 3 \, a^{4} b^{6} - 4 \, a^{2} b^{8}\right)} c^{4} - {\left(a^{8} b^{6} - 3 \, a^{6} b^{8} - 4 \, a^{4} b^{10}\right)} c^{2} + 4 \, {\left(a^{8} b^{8} + a^{6} b^{10}\right)} c + {\left(a^{8} b^{8} + 5 \, a^{4} b^{4} c^{4} - a^{4} b^{2} c^{5} + 2 \, {\left(a^{6} b^{4} - 4 \, a^{4} b^{6}\right)} c^{3} - 2 \, {\left(3 \, a^{6} b^{6} - 2 \, a^{4} b^{8}\right)} c^{2} - {\left(a^{8} b^{6} - 4 \, a^{6} b^{8}\right)} c\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}}\right)} \sqrt{a^{2} x^{3} + b^{2}} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2} - {\left(a^{4} b^{4} - 2 \, a^{4} b^{2} c - a^{2} b^{2} c^{2}\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}}}{a^{6} b^{4} + 4 \, a^{4} b^{4} c - 4 \, a^{2} b^{2} c^{3} + a^{2} c^{4} - 2 \, {\left(a^{4} b^{2} - 2 \, a^{2} b^{4}\right)} c^{2}}} \left(\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}\right)^{\frac{1}{4}} + 4 \, {\left(a^{8} b^{10} + a^{6} b^{12}\right)} c + {\left(a^{10} b^{8} + a^{8} b^{10} + {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{6} - 4 \, {\left(a^{4} b^{4} + a^{2} b^{6}\right)} c^{5} - {\left(a^{6} b^{4} - 3 \, a^{4} b^{6} - 4 \, a^{2} b^{8}\right)} c^{4} - {\left(a^{8} b^{6} - 3 \, a^{6} b^{8} - 4 \, a^{4} b^{10}\right)} c^{2} + 4 \, {\left(a^{8} b^{8} + a^{6} b^{10}\right)} c\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}}}{a^{2} + b^{2}}} \left(\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}\right)^{\frac{3}{4}} + {\left(a^{12} b^{10} + a^{10} b^{12} - {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{8} + 2 \, {\left(a^{4} b^{4} + a^{2} b^{6}\right)} c^{7} - 2 \, {\left(a^{6} b^{4} + a^{4} b^{6}\right)} c^{6} + 6 \, {\left(a^{6} b^{6} + a^{4} b^{8}\right)} c^{5} + 6 \, {\left(a^{8} b^{8} + a^{6} b^{10}\right)} c^{3} + 2 \, {\left(a^{10} b^{8} + a^{8} b^{10}\right)} c^{2} + 2 \, {\left(a^{10} b^{10} + a^{8} b^{12}\right)} c\right)} \sqrt{\frac{a^{4} b^{4} + 4 \, a^{2} b^{4} c - 4 \, b^{2} c^{3} + c^{4} - 2 \, {\left(a^{2} b^{2} - 2 \, b^{4}\right)} c^{2}}{a^{2} b^{2}}} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}} + {\left(a^{12} b^{12} + a^{10} b^{14} - {\left(a^{2} b^{2} + b^{4}\right)} c^{10} + 2 \, {\left(a^{2} b^{4} + b^{6}\right)} c^{9} - 3 \, {\left(a^{4} b^{4} + a^{2} b^{6}\right)} c^{8} + 8 \, {\left(a^{4} b^{6} + a^{2} b^{8}\right)} c^{7} - 2 \, {\left(a^{6} b^{6} + a^{4} b^{8}\right)} c^{6} + 12 \, {\left(a^{6} b^{8} + a^{4} b^{10}\right)} c^{5} + 2 \, {\left(a^{8} b^{8} + a^{6} b^{10}\right)} c^{4} + 8 \, {\left(a^{8} b^{10} + a^{6} b^{12}\right)} c^{3} + 3 \, {\left(a^{10} b^{10} + a^{8} b^{12}\right)} c^{2} + 2 \, {\left(a^{10} b^{12} + a^{8} b^{14}\right)} c\right)} \sqrt{\frac{a^{4} b^{4} + 4 \, a^{2} b^{4} c - 4 \, b^{2} c^{3} + c^{4} - 2 \, {\left(a^{2} b^{2} - 2 \, b^{4}\right)} c^{2}}{a^{2} b^{2}}}}{a^{14} b^{12} + a^{12} b^{14} + {\left(a^{2} + b^{2}\right)} c^{12} - 4 \, {\left(a^{2} b^{2} + b^{4}\right)} c^{11} + 2 \, {\left(a^{4} b^{2} + 3 \, a^{2} b^{4} + 2 \, b^{6}\right)} c^{10} - 12 \, {\left(a^{4} b^{4} + a^{2} b^{6}\right)} c^{9} - {\left(a^{6} b^{4} - 15 \, a^{4} b^{6} - 16 \, a^{2} b^{8}\right)} c^{8} - 8 \, {\left(a^{6} b^{6} + a^{4} b^{8}\right)} c^{7} - 4 \, {\left(a^{8} b^{6} - 5 \, a^{6} b^{8} - 6 \, a^{4} b^{10}\right)} c^{6} + 8 \, {\left(a^{8} b^{8} + a^{6} b^{10}\right)} c^{5} - {\left(a^{10} b^{8} - 15 \, a^{8} b^{10} - 16 \, a^{6} b^{12}\right)} c^{4} + 12 \, {\left(a^{10} b^{10} + a^{8} b^{12}\right)} c^{3} + 2 \, {\left(a^{12} b^{10} + 3 \, a^{10} b^{12} + 2 \, a^{8} b^{14}\right)} c^{2} + 4 \, {\left(a^{12} b^{12} + a^{10} b^{14}\right)} c}\right) + 4 \, \sqrt{2} a^{4} b^{2} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2} - {\left(a^{4} b^{4} - 2 \, a^{4} b^{2} c - a^{2} b^{2} c^{2}\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}}}{a^{6} b^{4} + 4 \, a^{4} b^{4} c - 4 \, a^{2} b^{2} c^{3} + a^{2} c^{4} - 2 \, {\left(a^{4} b^{2} - 2 \, a^{2} b^{4}\right)} c^{2}}} \sqrt{\frac{a^{4} b^{4} + 4 \, a^{2} b^{4} c - 4 \, b^{2} c^{3} + c^{4} - 2 \, {\left(a^{2} b^{2} - 2 \, b^{4}\right)} c^{2}}{a^{2} b^{2}}} \left(\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} \sqrt{a^{2} x^{3} + b^{2}} {\left({\left(a^{10} b^{8} + 2 \, a^{8} b^{8} c + 2 \, a^{6} b^{6} c^{3} - a^{6} b^{4} c^{4}\right)} \sqrt{\frac{a^{4} b^{4} + 4 \, a^{2} b^{4} c - 4 \, b^{2} c^{3} + c^{4} - 2 \, {\left(a^{2} b^{2} - 2 \, b^{4}\right)} c^{2}}{a^{2} b^{2}}} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}} + {\left(a^{10} b^{10} - a^{8} b^{8} c^{2} - 5 \, a^{6} b^{6} c^{4} - 3 \, a^{4} b^{4} c^{6} + a^{4} b^{2} c^{7} + {\left(a^{6} b^{4} + 2 \, a^{4} b^{6}\right)} c^{5} - {\left(a^{8} b^{6} - 4 \, a^{6} b^{8}\right)} c^{3} - {\left(a^{10} b^{8} - 2 \, a^{8} b^{10}\right)} c\right)} \sqrt{\frac{a^{4} b^{4} + 4 \, a^{2} b^{4} c - 4 \, b^{2} c^{3} + c^{4} - 2 \, {\left(a^{2} b^{2} - 2 \, b^{4}\right)} c^{2}}{a^{2} b^{2}}}\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2} - {\left(a^{4} b^{4} - 2 \, a^{4} b^{2} c - a^{2} b^{2} c^{2}\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}}}{a^{6} b^{4} + 4 \, a^{4} b^{4} c - 4 \, a^{2} b^{2} c^{3} + a^{2} c^{4} - 2 \, {\left(a^{4} b^{2} - 2 \, a^{2} b^{4}\right)} c^{2}}} \left(\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}\right)^{\frac{3}{4}} + \sqrt{2} {\left(a^{6} b^{4} \sqrt{\frac{a^{4} b^{4} + 4 \, a^{2} b^{4} c - 4 \, b^{2} c^{3} + c^{4} - 2 \, {\left(a^{2} b^{2} - 2 \, b^{4}\right)} c^{2}}{a^{2} b^{2}}} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}} + {\left(a^{6} b^{6} - a^{6} b^{4} c + a^{4} b^{4} c^{2} - a^{4} b^{2} c^{3}\right)} \sqrt{\frac{a^{4} b^{4} + 4 \, a^{2} b^{4} c - 4 \, b^{2} c^{3} + c^{4} - 2 \, {\left(a^{2} b^{2} - 2 \, b^{4}\right)} c^{2}}{a^{2} b^{2}}}\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2} - {\left(a^{4} b^{4} - 2 \, a^{4} b^{2} c - a^{2} b^{2} c^{2}\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}}}{a^{6} b^{4} + 4 \, a^{4} b^{4} c - 4 \, a^{2} b^{2} c^{3} + a^{2} c^{4} - 2 \, {\left(a^{4} b^{2} - 2 \, a^{2} b^{4}\right)} c^{2}}} \sqrt{\frac{a^{10} b^{10} + a^{8} b^{12} + {\left(a^{2} b^{2} + b^{4}\right)} c^{8} - 4 \, {\left(a^{2} b^{4} + b^{6}\right)} c^{7} + 4 \, {\left(a^{2} b^{6} + b^{8}\right)} c^{6} - 4 \, {\left(a^{4} b^{6} + a^{2} b^{8}\right)} c^{5} - 2 \, {\left(a^{6} b^{6} - 3 \, a^{4} b^{8} - 4 \, a^{2} b^{10}\right)} c^{4} + 4 \, {\left(a^{6} b^{8} + a^{4} b^{10}\right)} c^{3} + {\left(a^{12} b^{8} + a^{10} b^{10} + {\left(a^{4} + a^{2} b^{2}\right)} c^{8} - 4 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{7} + 4 \, {\left(a^{4} b^{4} + a^{2} b^{6}\right)} c^{6} - 4 \, {\left(a^{6} b^{4} + a^{4} b^{6}\right)} c^{5} - 2 \, {\left(a^{8} b^{4} - 3 \, a^{6} b^{6} - 4 \, a^{4} b^{8}\right)} c^{4} + 4 \, {\left(a^{8} b^{6} + a^{6} b^{8}\right)} c^{3} + 4 \, {\left(a^{8} b^{8} + a^{6} b^{10}\right)} c^{2} + 4 \, {\left(a^{10} b^{8} + a^{8} b^{10}\right)} c\right)} x^{3} + 4 \, {\left(a^{6} b^{10} + a^{4} b^{12}\right)} c^{2} - \sqrt{2} {\left(a^{10} b^{8} + a^{8} b^{10} + {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{6} - 4 \, {\left(a^{4} b^{4} + a^{2} b^{6}\right)} c^{5} - {\left(a^{6} b^{4} - 3 \, a^{4} b^{6} - 4 \, a^{2} b^{8}\right)} c^{4} - {\left(a^{8} b^{6} - 3 \, a^{6} b^{8} - 4 \, a^{4} b^{10}\right)} c^{2} + 4 \, {\left(a^{8} b^{8} + a^{6} b^{10}\right)} c + {\left(a^{8} b^{8} + 5 \, a^{4} b^{4} c^{4} - a^{4} b^{2} c^{5} + 2 \, {\left(a^{6} b^{4} - 4 \, a^{4} b^{6}\right)} c^{3} - 2 \, {\left(3 \, a^{6} b^{6} - 2 \, a^{4} b^{8}\right)} c^{2} - {\left(a^{8} b^{6} - 4 \, a^{6} b^{8}\right)} c\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}}\right)} \sqrt{a^{2} x^{3} + b^{2}} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2} - {\left(a^{4} b^{4} - 2 \, a^{4} b^{2} c - a^{2} b^{2} c^{2}\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}}}{a^{6} b^{4} + 4 \, a^{4} b^{4} c - 4 \, a^{2} b^{2} c^{3} + a^{2} c^{4} - 2 \, {\left(a^{4} b^{2} - 2 \, a^{2} b^{4}\right)} c^{2}}} \left(\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}\right)^{\frac{1}{4}} + 4 \, {\left(a^{8} b^{10} + a^{6} b^{12}\right)} c + {\left(a^{10} b^{8} + a^{8} b^{10} + {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{6} - 4 \, {\left(a^{4} b^{4} + a^{2} b^{6}\right)} c^{5} - {\left(a^{6} b^{4} - 3 \, a^{4} b^{6} - 4 \, a^{2} b^{8}\right)} c^{4} - {\left(a^{8} b^{6} - 3 \, a^{6} b^{8} - 4 \, a^{4} b^{10}\right)} c^{2} + 4 \, {\left(a^{8} b^{8} + a^{6} b^{10}\right)} c\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}}}{a^{2} + b^{2}}} \left(\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}\right)^{\frac{3}{4}} - {\left(a^{12} b^{10} + a^{10} b^{12} - {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{8} + 2 \, {\left(a^{4} b^{4} + a^{2} b^{6}\right)} c^{7} - 2 \, {\left(a^{6} b^{4} + a^{4} b^{6}\right)} c^{6} + 6 \, {\left(a^{6} b^{6} + a^{4} b^{8}\right)} c^{5} + 6 \, {\left(a^{8} b^{8} + a^{6} b^{10}\right)} c^{3} + 2 \, {\left(a^{10} b^{8} + a^{8} b^{10}\right)} c^{2} + 2 \, {\left(a^{10} b^{10} + a^{8} b^{12}\right)} c\right)} \sqrt{\frac{a^{4} b^{4} + 4 \, a^{2} b^{4} c - 4 \, b^{2} c^{3} + c^{4} - 2 \, {\left(a^{2} b^{2} - 2 \, b^{4}\right)} c^{2}}{a^{2} b^{2}}} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}} - {\left(a^{12} b^{12} + a^{10} b^{14} - {\left(a^{2} b^{2} + b^{4}\right)} c^{10} + 2 \, {\left(a^{2} b^{4} + b^{6}\right)} c^{9} - 3 \, {\left(a^{4} b^{4} + a^{2} b^{6}\right)} c^{8} + 8 \, {\left(a^{4} b^{6} + a^{2} b^{8}\right)} c^{7} - 2 \, {\left(a^{6} b^{6} + a^{4} b^{8}\right)} c^{6} + 12 \, {\left(a^{6} b^{8} + a^{4} b^{10}\right)} c^{5} + 2 \, {\left(a^{8} b^{8} + a^{6} b^{10}\right)} c^{4} + 8 \, {\left(a^{8} b^{10} + a^{6} b^{12}\right)} c^{3} + 3 \, {\left(a^{10} b^{10} + a^{8} b^{12}\right)} c^{2} + 2 \, {\left(a^{10} b^{12} + a^{8} b^{14}\right)} c\right)} \sqrt{\frac{a^{4} b^{4} + 4 \, a^{2} b^{4} c - 4 \, b^{2} c^{3} + c^{4} - 2 \, {\left(a^{2} b^{2} - 2 \, b^{4}\right)} c^{2}}{a^{2} b^{2}}}}{a^{14} b^{12} + a^{12} b^{14} + {\left(a^{2} + b^{2}\right)} c^{12} - 4 \, {\left(a^{2} b^{2} + b^{4}\right)} c^{11} + 2 \, {\left(a^{4} b^{2} + 3 \, a^{2} b^{4} + 2 \, b^{6}\right)} c^{10} - 12 \, {\left(a^{4} b^{4} + a^{2} b^{6}\right)} c^{9} - {\left(a^{6} b^{4} - 15 \, a^{4} b^{6} - 16 \, a^{2} b^{8}\right)} c^{8} - 8 \, {\left(a^{6} b^{6} + a^{4} b^{8}\right)} c^{7} - 4 \, {\left(a^{8} b^{6} - 5 \, a^{6} b^{8} - 6 \, a^{4} b^{10}\right)} c^{6} + 8 \, {\left(a^{8} b^{8} + a^{6} b^{10}\right)} c^{5} - {\left(a^{10} b^{8} - 15 \, a^{8} b^{10} - 16 \, a^{6} b^{12}\right)} c^{4} + 12 \, {\left(a^{10} b^{10} + a^{8} b^{12}\right)} c^{3} + 2 \, {\left(a^{12} b^{10} + 3 \, a^{10} b^{12} + 2 \, a^{8} b^{14}\right)} c^{2} + 4 \, {\left(a^{12} b^{12} + a^{10} b^{14}\right)} c}\right) + \sqrt{2} {\left(a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2} + {\left(a^{4} b^{4} - 2 \, a^{4} b^{2} c - a^{2} b^{2} c^{2}\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}}\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2} - {\left(a^{4} b^{4} - 2 \, a^{4} b^{2} c - a^{2} b^{2} c^{2}\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}}}{a^{6} b^{4} + 4 \, a^{4} b^{4} c - 4 \, a^{2} b^{2} c^{3} + a^{2} c^{4} - 2 \, {\left(a^{4} b^{2} - 2 \, a^{2} b^{4}\right)} c^{2}}} \left(\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}\right)^{\frac{1}{4}} \log\left(\frac{a^{10} b^{10} + a^{8} b^{12} + {\left(a^{2} b^{2} + b^{4}\right)} c^{8} - 4 \, {\left(a^{2} b^{4} + b^{6}\right)} c^{7} + 4 \, {\left(a^{2} b^{6} + b^{8}\right)} c^{6} - 4 \, {\left(a^{4} b^{6} + a^{2} b^{8}\right)} c^{5} - 2 \, {\left(a^{6} b^{6} - 3 \, a^{4} b^{8} - 4 \, a^{2} b^{10}\right)} c^{4} + 4 \, {\left(a^{6} b^{8} + a^{4} b^{10}\right)} c^{3} + {\left(a^{12} b^{8} + a^{10} b^{10} + {\left(a^{4} + a^{2} b^{2}\right)} c^{8} - 4 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{7} + 4 \, {\left(a^{4} b^{4} + a^{2} b^{6}\right)} c^{6} - 4 \, {\left(a^{6} b^{4} + a^{4} b^{6}\right)} c^{5} - 2 \, {\left(a^{8} b^{4} - 3 \, a^{6} b^{6} - 4 \, a^{4} b^{8}\right)} c^{4} + 4 \, {\left(a^{8} b^{6} + a^{6} b^{8}\right)} c^{3} + 4 \, {\left(a^{8} b^{8} + a^{6} b^{10}\right)} c^{2} + 4 \, {\left(a^{10} b^{8} + a^{8} b^{10}\right)} c\right)} x^{3} + 4 \, {\left(a^{6} b^{10} + a^{4} b^{12}\right)} c^{2} + \sqrt{2} {\left(a^{10} b^{8} + a^{8} b^{10} + {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{6} - 4 \, {\left(a^{4} b^{4} + a^{2} b^{6}\right)} c^{5} - {\left(a^{6} b^{4} - 3 \, a^{4} b^{6} - 4 \, a^{2} b^{8}\right)} c^{4} - {\left(a^{8} b^{6} - 3 \, a^{6} b^{8} - 4 \, a^{4} b^{10}\right)} c^{2} + 4 \, {\left(a^{8} b^{8} + a^{6} b^{10}\right)} c + {\left(a^{8} b^{8} + 5 \, a^{4} b^{4} c^{4} - a^{4} b^{2} c^{5} + 2 \, {\left(a^{6} b^{4} - 4 \, a^{4} b^{6}\right)} c^{3} - 2 \, {\left(3 \, a^{6} b^{6} - 2 \, a^{4} b^{8}\right)} c^{2} - {\left(a^{8} b^{6} - 4 \, a^{6} b^{8}\right)} c\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}}\right)} \sqrt{a^{2} x^{3} + b^{2}} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2} - {\left(a^{4} b^{4} - 2 \, a^{4} b^{2} c - a^{2} b^{2} c^{2}\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}}}{a^{6} b^{4} + 4 \, a^{4} b^{4} c - 4 \, a^{2} b^{2} c^{3} + a^{2} c^{4} - 2 \, {\left(a^{4} b^{2} - 2 \, a^{2} b^{4}\right)} c^{2}}} \left(\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}\right)^{\frac{1}{4}} + 4 \, {\left(a^{8} b^{10} + a^{6} b^{12}\right)} c + {\left(a^{10} b^{8} + a^{8} b^{10} + {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{6} - 4 \, {\left(a^{4} b^{4} + a^{2} b^{6}\right)} c^{5} - {\left(a^{6} b^{4} - 3 \, a^{4} b^{6} - 4 \, a^{2} b^{8}\right)} c^{4} - {\left(a^{8} b^{6} - 3 \, a^{6} b^{8} - 4 \, a^{4} b^{10}\right)} c^{2} + 4 \, {\left(a^{8} b^{8} + a^{6} b^{10}\right)} c\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}}}{a^{2} + b^{2}}\right) - \sqrt{2} {\left(a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2} + {\left(a^{4} b^{4} - 2 \, a^{4} b^{2} c - a^{2} b^{2} c^{2}\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}}\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2} - {\left(a^{4} b^{4} - 2 \, a^{4} b^{2} c - a^{2} b^{2} c^{2}\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}}}{a^{6} b^{4} + 4 \, a^{4} b^{4} c - 4 \, a^{2} b^{2} c^{3} + a^{2} c^{4} - 2 \, {\left(a^{4} b^{2} - 2 \, a^{2} b^{4}\right)} c^{2}}} \left(\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}\right)^{\frac{1}{4}} \log\left(\frac{a^{10} b^{10} + a^{8} b^{12} + {\left(a^{2} b^{2} + b^{4}\right)} c^{8} - 4 \, {\left(a^{2} b^{4} + b^{6}\right)} c^{7} + 4 \, {\left(a^{2} b^{6} + b^{8}\right)} c^{6} - 4 \, {\left(a^{4} b^{6} + a^{2} b^{8}\right)} c^{5} - 2 \, {\left(a^{6} b^{6} - 3 \, a^{4} b^{8} - 4 \, a^{2} b^{10}\right)} c^{4} + 4 \, {\left(a^{6} b^{8} + a^{4} b^{10}\right)} c^{3} + {\left(a^{12} b^{8} + a^{10} b^{10} + {\left(a^{4} + a^{2} b^{2}\right)} c^{8} - 4 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{7} + 4 \, {\left(a^{4} b^{4} + a^{2} b^{6}\right)} c^{6} - 4 \, {\left(a^{6} b^{4} + a^{4} b^{6}\right)} c^{5} - 2 \, {\left(a^{8} b^{4} - 3 \, a^{6} b^{6} - 4 \, a^{4} b^{8}\right)} c^{4} + 4 \, {\left(a^{8} b^{6} + a^{6} b^{8}\right)} c^{3} + 4 \, {\left(a^{8} b^{8} + a^{6} b^{10}\right)} c^{2} + 4 \, {\left(a^{10} b^{8} + a^{8} b^{10}\right)} c\right)} x^{3} + 4 \, {\left(a^{6} b^{10} + a^{4} b^{12}\right)} c^{2} - \sqrt{2} {\left(a^{10} b^{8} + a^{8} b^{10} + {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{6} - 4 \, {\left(a^{4} b^{4} + a^{2} b^{6}\right)} c^{5} - {\left(a^{6} b^{4} - 3 \, a^{4} b^{6} - 4 \, a^{2} b^{8}\right)} c^{4} - {\left(a^{8} b^{6} - 3 \, a^{6} b^{8} - 4 \, a^{4} b^{10}\right)} c^{2} + 4 \, {\left(a^{8} b^{8} + a^{6} b^{10}\right)} c + {\left(a^{8} b^{8} + 5 \, a^{4} b^{4} c^{4} - a^{4} b^{2} c^{5} + 2 \, {\left(a^{6} b^{4} - 4 \, a^{4} b^{6}\right)} c^{3} - 2 \, {\left(3 \, a^{6} b^{6} - 2 \, a^{4} b^{8}\right)} c^{2} - {\left(a^{8} b^{6} - 4 \, a^{6} b^{8}\right)} c\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}}\right)} \sqrt{a^{2} x^{3} + b^{2}} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2} - {\left(a^{4} b^{4} - 2 \, a^{4} b^{2} c - a^{2} b^{2} c^{2}\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}}}{a^{6} b^{4} + 4 \, a^{4} b^{4} c - 4 \, a^{2} b^{2} c^{3} + a^{2} c^{4} - 2 \, {\left(a^{4} b^{2} - 2 \, a^{2} b^{4}\right)} c^{2}}} \left(\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}\right)^{\frac{1}{4}} + 4 \, {\left(a^{8} b^{10} + a^{6} b^{12}\right)} c + {\left(a^{10} b^{8} + a^{8} b^{10} + {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{6} - 4 \, {\left(a^{4} b^{4} + a^{2} b^{6}\right)} c^{5} - {\left(a^{6} b^{4} - 3 \, a^{4} b^{6} - 4 \, a^{2} b^{8}\right)} c^{4} - {\left(a^{8} b^{6} - 3 \, a^{6} b^{8} - 4 \, a^{4} b^{10}\right)} c^{2} + 4 \, {\left(a^{8} b^{8} + a^{6} b^{10}\right)} c\right)} \sqrt{\frac{a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}}{a^{4} b^{2}}}}{a^{2} + b^{2}}\right) - 8 \, {\left(a^{6} b^{5} + a^{4} b^{7} + {\left(a^{2} b + b^{3}\right)} c^{4} + 2 \, {\left(a^{4} b^{3} + a^{2} b^{5}\right)} c^{2}\right)} \log\left(b + \sqrt{a^{2} x^{3} + b^{2}}\right) + 8 \, {\left(a^{6} b^{5} + a^{4} b^{7} + {\left(a^{2} b + b^{3}\right)} c^{4} + 2 \, {\left(a^{4} b^{3} + a^{2} b^{5}\right)} c^{2}\right)} \log\left(-b + \sqrt{a^{2} x^{3} + b^{2}}\right) + 8 \, {\left(a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}\right)} \sqrt{a^{2} x^{3} + b^{2}}}{12 \, {\left(a^{6} b^{4} + a^{4} b^{6} + {\left(a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}\right)}}"," ",0,"1/12*(4*sqrt(2)*a^4*b^2*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2 - (a^4*b^4 - 2*a^4*b^2*c - a^2*b^2*c^2)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)))/(a^6*b^4 + 4*a^4*b^4*c - 4*a^2*b^2*c^3 + a^2*c^4 - 2*(a^4*b^2 - 2*a^2*b^4)*c^2))*sqrt((a^4*b^4 + 4*a^2*b^4*c - 4*b^2*c^3 + c^4 - 2*(a^2*b^2 - 2*b^4)*c^2)/(a^2*b^2))*((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2))^(3/4)*arctan((sqrt(2)*sqrt(a^2*x^3 + b^2)*((a^10*b^8 + 2*a^8*b^8*c + 2*a^6*b^6*c^3 - a^6*b^4*c^4)*sqrt((a^4*b^4 + 4*a^2*b^4*c - 4*b^2*c^3 + c^4 - 2*(a^2*b^2 - 2*b^4)*c^2)/(a^2*b^2))*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)) + (a^10*b^10 - a^8*b^8*c^2 - 5*a^6*b^6*c^4 - 3*a^4*b^4*c^6 + a^4*b^2*c^7 + (a^6*b^4 + 2*a^4*b^6)*c^5 - (a^8*b^6 - 4*a^6*b^8)*c^3 - (a^10*b^8 - 2*a^8*b^10)*c)*sqrt((a^4*b^4 + 4*a^2*b^4*c - 4*b^2*c^3 + c^4 - 2*(a^2*b^2 - 2*b^4)*c^2)/(a^2*b^2)))*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2 - (a^4*b^4 - 2*a^4*b^2*c - a^2*b^2*c^2)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)))/(a^6*b^4 + 4*a^4*b^4*c - 4*a^2*b^2*c^3 + a^2*c^4 - 2*(a^4*b^2 - 2*a^2*b^4)*c^2))*((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2))^(3/4) + sqrt(2)*(a^6*b^4*sqrt((a^4*b^4 + 4*a^2*b^4*c - 4*b^2*c^3 + c^4 - 2*(a^2*b^2 - 2*b^4)*c^2)/(a^2*b^2))*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)) + (a^6*b^6 - a^6*b^4*c + a^4*b^4*c^2 - a^4*b^2*c^3)*sqrt((a^4*b^4 + 4*a^2*b^4*c - 4*b^2*c^3 + c^4 - 2*(a^2*b^2 - 2*b^4)*c^2)/(a^2*b^2)))*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2 - (a^4*b^4 - 2*a^4*b^2*c - a^2*b^2*c^2)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)))/(a^6*b^4 + 4*a^4*b^4*c - 4*a^2*b^2*c^3 + a^2*c^4 - 2*(a^4*b^2 - 2*a^2*b^4)*c^2))*sqrt((a^10*b^10 + a^8*b^12 + (a^2*b^2 + b^4)*c^8 - 4*(a^2*b^4 + b^6)*c^7 + 4*(a^2*b^6 + b^8)*c^6 - 4*(a^4*b^6 + a^2*b^8)*c^5 - 2*(a^6*b^6 - 3*a^4*b^8 - 4*a^2*b^10)*c^4 + 4*(a^6*b^8 + a^4*b^10)*c^3 + (a^12*b^8 + a^10*b^10 + (a^4 + a^2*b^2)*c^8 - 4*(a^4*b^2 + a^2*b^4)*c^7 + 4*(a^4*b^4 + a^2*b^6)*c^6 - 4*(a^6*b^4 + a^4*b^6)*c^5 - 2*(a^8*b^4 - 3*a^6*b^6 - 4*a^4*b^8)*c^4 + 4*(a^8*b^6 + a^6*b^8)*c^3 + 4*(a^8*b^8 + a^6*b^10)*c^2 + 4*(a^10*b^8 + a^8*b^10)*c)*x^3 + 4*(a^6*b^10 + a^4*b^12)*c^2 + sqrt(2)*(a^10*b^8 + a^8*b^10 + (a^4*b^2 + a^2*b^4)*c^6 - 4*(a^4*b^4 + a^2*b^6)*c^5 - (a^6*b^4 - 3*a^4*b^6 - 4*a^2*b^8)*c^4 - (a^8*b^6 - 3*a^6*b^8 - 4*a^4*b^10)*c^2 + 4*(a^8*b^8 + a^6*b^10)*c + (a^8*b^8 + 5*a^4*b^4*c^4 - a^4*b^2*c^5 + 2*(a^6*b^4 - 4*a^4*b^6)*c^3 - 2*(3*a^6*b^6 - 2*a^4*b^8)*c^2 - (a^8*b^6 - 4*a^6*b^8)*c)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)))*sqrt(a^2*x^3 + b^2)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2 - (a^4*b^4 - 2*a^4*b^2*c - a^2*b^2*c^2)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)))/(a^6*b^4 + 4*a^4*b^4*c - 4*a^2*b^2*c^3 + a^2*c^4 - 2*(a^4*b^2 - 2*a^2*b^4)*c^2))*((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2))^(1/4) + 4*(a^8*b^10 + a^6*b^12)*c + (a^10*b^8 + a^8*b^10 + (a^4*b^2 + a^2*b^4)*c^6 - 4*(a^4*b^4 + a^2*b^6)*c^5 - (a^6*b^4 - 3*a^4*b^6 - 4*a^2*b^8)*c^4 - (a^8*b^6 - 3*a^6*b^8 - 4*a^4*b^10)*c^2 + 4*(a^8*b^8 + a^6*b^10)*c)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)))/(a^2 + b^2))*((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2))^(3/4) + (a^12*b^10 + a^10*b^12 - (a^4*b^2 + a^2*b^4)*c^8 + 2*(a^4*b^4 + a^2*b^6)*c^7 - 2*(a^6*b^4 + a^4*b^6)*c^6 + 6*(a^6*b^6 + a^4*b^8)*c^5 + 6*(a^8*b^8 + a^6*b^10)*c^3 + 2*(a^10*b^8 + a^8*b^10)*c^2 + 2*(a^10*b^10 + a^8*b^12)*c)*sqrt((a^4*b^4 + 4*a^2*b^4*c - 4*b^2*c^3 + c^4 - 2*(a^2*b^2 - 2*b^4)*c^2)/(a^2*b^2))*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)) + (a^12*b^12 + a^10*b^14 - (a^2*b^2 + b^4)*c^10 + 2*(a^2*b^4 + b^6)*c^9 - 3*(a^4*b^4 + a^2*b^6)*c^8 + 8*(a^4*b^6 + a^2*b^8)*c^7 - 2*(a^6*b^6 + a^4*b^8)*c^6 + 12*(a^6*b^8 + a^4*b^10)*c^5 + 2*(a^8*b^8 + a^6*b^10)*c^4 + 8*(a^8*b^10 + a^6*b^12)*c^3 + 3*(a^10*b^10 + a^8*b^12)*c^2 + 2*(a^10*b^12 + a^8*b^14)*c)*sqrt((a^4*b^4 + 4*a^2*b^4*c - 4*b^2*c^3 + c^4 - 2*(a^2*b^2 - 2*b^4)*c^2)/(a^2*b^2)))/(a^14*b^12 + a^12*b^14 + (a^2 + b^2)*c^12 - 4*(a^2*b^2 + b^4)*c^11 + 2*(a^4*b^2 + 3*a^2*b^4 + 2*b^6)*c^10 - 12*(a^4*b^4 + a^2*b^6)*c^9 - (a^6*b^4 - 15*a^4*b^6 - 16*a^2*b^8)*c^8 - 8*(a^6*b^6 + a^4*b^8)*c^7 - 4*(a^8*b^6 - 5*a^6*b^8 - 6*a^4*b^10)*c^6 + 8*(a^8*b^8 + a^6*b^10)*c^5 - (a^10*b^8 - 15*a^8*b^10 - 16*a^6*b^12)*c^4 + 12*(a^10*b^10 + a^8*b^12)*c^3 + 2*(a^12*b^10 + 3*a^10*b^12 + 2*a^8*b^14)*c^2 + 4*(a^12*b^12 + a^10*b^14)*c)) + 4*sqrt(2)*a^4*b^2*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2 - (a^4*b^4 - 2*a^4*b^2*c - a^2*b^2*c^2)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)))/(a^6*b^4 + 4*a^4*b^4*c - 4*a^2*b^2*c^3 + a^2*c^4 - 2*(a^4*b^2 - 2*a^2*b^4)*c^2))*sqrt((a^4*b^4 + 4*a^2*b^4*c - 4*b^2*c^3 + c^4 - 2*(a^2*b^2 - 2*b^4)*c^2)/(a^2*b^2))*((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2))^(3/4)*arctan((sqrt(2)*sqrt(a^2*x^3 + b^2)*((a^10*b^8 + 2*a^8*b^8*c + 2*a^6*b^6*c^3 - a^6*b^4*c^4)*sqrt((a^4*b^4 + 4*a^2*b^4*c - 4*b^2*c^3 + c^4 - 2*(a^2*b^2 - 2*b^4)*c^2)/(a^2*b^2))*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)) + (a^10*b^10 - a^8*b^8*c^2 - 5*a^6*b^6*c^4 - 3*a^4*b^4*c^6 + a^4*b^2*c^7 + (a^6*b^4 + 2*a^4*b^6)*c^5 - (a^8*b^6 - 4*a^6*b^8)*c^3 - (a^10*b^8 - 2*a^8*b^10)*c)*sqrt((a^4*b^4 + 4*a^2*b^4*c - 4*b^2*c^3 + c^4 - 2*(a^2*b^2 - 2*b^4)*c^2)/(a^2*b^2)))*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2 - (a^4*b^4 - 2*a^4*b^2*c - a^2*b^2*c^2)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)))/(a^6*b^4 + 4*a^4*b^4*c - 4*a^2*b^2*c^3 + a^2*c^4 - 2*(a^4*b^2 - 2*a^2*b^4)*c^2))*((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2))^(3/4) + sqrt(2)*(a^6*b^4*sqrt((a^4*b^4 + 4*a^2*b^4*c - 4*b^2*c^3 + c^4 - 2*(a^2*b^2 - 2*b^4)*c^2)/(a^2*b^2))*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)) + (a^6*b^6 - a^6*b^4*c + a^4*b^4*c^2 - a^4*b^2*c^3)*sqrt((a^4*b^4 + 4*a^2*b^4*c - 4*b^2*c^3 + c^4 - 2*(a^2*b^2 - 2*b^4)*c^2)/(a^2*b^2)))*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2 - (a^4*b^4 - 2*a^4*b^2*c - a^2*b^2*c^2)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)))/(a^6*b^4 + 4*a^4*b^4*c - 4*a^2*b^2*c^3 + a^2*c^4 - 2*(a^4*b^2 - 2*a^2*b^4)*c^2))*sqrt((a^10*b^10 + a^8*b^12 + (a^2*b^2 + b^4)*c^8 - 4*(a^2*b^4 + b^6)*c^7 + 4*(a^2*b^6 + b^8)*c^6 - 4*(a^4*b^6 + a^2*b^8)*c^5 - 2*(a^6*b^6 - 3*a^4*b^8 - 4*a^2*b^10)*c^4 + 4*(a^6*b^8 + a^4*b^10)*c^3 + (a^12*b^8 + a^10*b^10 + (a^4 + a^2*b^2)*c^8 - 4*(a^4*b^2 + a^2*b^4)*c^7 + 4*(a^4*b^4 + a^2*b^6)*c^6 - 4*(a^6*b^4 + a^4*b^6)*c^5 - 2*(a^8*b^4 - 3*a^6*b^6 - 4*a^4*b^8)*c^4 + 4*(a^8*b^6 + a^6*b^8)*c^3 + 4*(a^8*b^8 + a^6*b^10)*c^2 + 4*(a^10*b^8 + a^8*b^10)*c)*x^3 + 4*(a^6*b^10 + a^4*b^12)*c^2 - sqrt(2)*(a^10*b^8 + a^8*b^10 + (a^4*b^2 + a^2*b^4)*c^6 - 4*(a^4*b^4 + a^2*b^6)*c^5 - (a^6*b^4 - 3*a^4*b^6 - 4*a^2*b^8)*c^4 - (a^8*b^6 - 3*a^6*b^8 - 4*a^4*b^10)*c^2 + 4*(a^8*b^8 + a^6*b^10)*c + (a^8*b^8 + 5*a^4*b^4*c^4 - a^4*b^2*c^5 + 2*(a^6*b^4 - 4*a^4*b^6)*c^3 - 2*(3*a^6*b^6 - 2*a^4*b^8)*c^2 - (a^8*b^6 - 4*a^6*b^8)*c)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)))*sqrt(a^2*x^3 + b^2)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2 - (a^4*b^4 - 2*a^4*b^2*c - a^2*b^2*c^2)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)))/(a^6*b^4 + 4*a^4*b^4*c - 4*a^2*b^2*c^3 + a^2*c^4 - 2*(a^4*b^2 - 2*a^2*b^4)*c^2))*((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2))^(1/4) + 4*(a^8*b^10 + a^6*b^12)*c + (a^10*b^8 + a^8*b^10 + (a^4*b^2 + a^2*b^4)*c^6 - 4*(a^4*b^4 + a^2*b^6)*c^5 - (a^6*b^4 - 3*a^4*b^6 - 4*a^2*b^8)*c^4 - (a^8*b^6 - 3*a^6*b^8 - 4*a^4*b^10)*c^2 + 4*(a^8*b^8 + a^6*b^10)*c)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)))/(a^2 + b^2))*((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2))^(3/4) - (a^12*b^10 + a^10*b^12 - (a^4*b^2 + a^2*b^4)*c^8 + 2*(a^4*b^4 + a^2*b^6)*c^7 - 2*(a^6*b^4 + a^4*b^6)*c^6 + 6*(a^6*b^6 + a^4*b^8)*c^5 + 6*(a^8*b^8 + a^6*b^10)*c^3 + 2*(a^10*b^8 + a^8*b^10)*c^2 + 2*(a^10*b^10 + a^8*b^12)*c)*sqrt((a^4*b^4 + 4*a^2*b^4*c - 4*b^2*c^3 + c^4 - 2*(a^2*b^2 - 2*b^4)*c^2)/(a^2*b^2))*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)) - (a^12*b^12 + a^10*b^14 - (a^2*b^2 + b^4)*c^10 + 2*(a^2*b^4 + b^6)*c^9 - 3*(a^4*b^4 + a^2*b^6)*c^8 + 8*(a^4*b^6 + a^2*b^8)*c^7 - 2*(a^6*b^6 + a^4*b^8)*c^6 + 12*(a^6*b^8 + a^4*b^10)*c^5 + 2*(a^8*b^8 + a^6*b^10)*c^4 + 8*(a^8*b^10 + a^6*b^12)*c^3 + 3*(a^10*b^10 + a^8*b^12)*c^2 + 2*(a^10*b^12 + a^8*b^14)*c)*sqrt((a^4*b^4 + 4*a^2*b^4*c - 4*b^2*c^3 + c^4 - 2*(a^2*b^2 - 2*b^4)*c^2)/(a^2*b^2)))/(a^14*b^12 + a^12*b^14 + (a^2 + b^2)*c^12 - 4*(a^2*b^2 + b^4)*c^11 + 2*(a^4*b^2 + 3*a^2*b^4 + 2*b^6)*c^10 - 12*(a^4*b^4 + a^2*b^6)*c^9 - (a^6*b^4 - 15*a^4*b^6 - 16*a^2*b^8)*c^8 - 8*(a^6*b^6 + a^4*b^8)*c^7 - 4*(a^8*b^6 - 5*a^6*b^8 - 6*a^4*b^10)*c^6 + 8*(a^8*b^8 + a^6*b^10)*c^5 - (a^10*b^8 - 15*a^8*b^10 - 16*a^6*b^12)*c^4 + 12*(a^10*b^10 + a^8*b^12)*c^3 + 2*(a^12*b^10 + 3*a^10*b^12 + 2*a^8*b^14)*c^2 + 4*(a^12*b^12 + a^10*b^14)*c)) + sqrt(2)*(a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2 + (a^4*b^4 - 2*a^4*b^2*c - a^2*b^2*c^2)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)))*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2 - (a^4*b^4 - 2*a^4*b^2*c - a^2*b^2*c^2)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)))/(a^6*b^4 + 4*a^4*b^4*c - 4*a^2*b^2*c^3 + a^2*c^4 - 2*(a^4*b^2 - 2*a^2*b^4)*c^2))*((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2))^(1/4)*log((a^10*b^10 + a^8*b^12 + (a^2*b^2 + b^4)*c^8 - 4*(a^2*b^4 + b^6)*c^7 + 4*(a^2*b^6 + b^8)*c^6 - 4*(a^4*b^6 + a^2*b^8)*c^5 - 2*(a^6*b^6 - 3*a^4*b^8 - 4*a^2*b^10)*c^4 + 4*(a^6*b^8 + a^4*b^10)*c^3 + (a^12*b^8 + a^10*b^10 + (a^4 + a^2*b^2)*c^8 - 4*(a^4*b^2 + a^2*b^4)*c^7 + 4*(a^4*b^4 + a^2*b^6)*c^6 - 4*(a^6*b^4 + a^4*b^6)*c^5 - 2*(a^8*b^4 - 3*a^6*b^6 - 4*a^4*b^8)*c^4 + 4*(a^8*b^6 + a^6*b^8)*c^3 + 4*(a^8*b^8 + a^6*b^10)*c^2 + 4*(a^10*b^8 + a^8*b^10)*c)*x^3 + 4*(a^6*b^10 + a^4*b^12)*c^2 + sqrt(2)*(a^10*b^8 + a^8*b^10 + (a^4*b^2 + a^2*b^4)*c^6 - 4*(a^4*b^4 + a^2*b^6)*c^5 - (a^6*b^4 - 3*a^4*b^6 - 4*a^2*b^8)*c^4 - (a^8*b^6 - 3*a^6*b^8 - 4*a^4*b^10)*c^2 + 4*(a^8*b^8 + a^6*b^10)*c + (a^8*b^8 + 5*a^4*b^4*c^4 - a^4*b^2*c^5 + 2*(a^6*b^4 - 4*a^4*b^6)*c^3 - 2*(3*a^6*b^6 - 2*a^4*b^8)*c^2 - (a^8*b^6 - 4*a^6*b^8)*c)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)))*sqrt(a^2*x^3 + b^2)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2 - (a^4*b^4 - 2*a^4*b^2*c - a^2*b^2*c^2)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)))/(a^6*b^4 + 4*a^4*b^4*c - 4*a^2*b^2*c^3 + a^2*c^4 - 2*(a^4*b^2 - 2*a^2*b^4)*c^2))*((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2))^(1/4) + 4*(a^8*b^10 + a^6*b^12)*c + (a^10*b^8 + a^8*b^10 + (a^4*b^2 + a^2*b^4)*c^6 - 4*(a^4*b^4 + a^2*b^6)*c^5 - (a^6*b^4 - 3*a^4*b^6 - 4*a^2*b^8)*c^4 - (a^8*b^6 - 3*a^6*b^8 - 4*a^4*b^10)*c^2 + 4*(a^8*b^8 + a^6*b^10)*c)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)))/(a^2 + b^2)) - sqrt(2)*(a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2 + (a^4*b^4 - 2*a^4*b^2*c - a^2*b^2*c^2)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)))*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2 - (a^4*b^4 - 2*a^4*b^2*c - a^2*b^2*c^2)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)))/(a^6*b^4 + 4*a^4*b^4*c - 4*a^2*b^2*c^3 + a^2*c^4 - 2*(a^4*b^2 - 2*a^2*b^4)*c^2))*((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2))^(1/4)*log((a^10*b^10 + a^8*b^12 + (a^2*b^2 + b^4)*c^8 - 4*(a^2*b^4 + b^6)*c^7 + 4*(a^2*b^6 + b^8)*c^6 - 4*(a^4*b^6 + a^2*b^8)*c^5 - 2*(a^6*b^6 - 3*a^4*b^8 - 4*a^2*b^10)*c^4 + 4*(a^6*b^8 + a^4*b^10)*c^3 + (a^12*b^8 + a^10*b^10 + (a^4 + a^2*b^2)*c^8 - 4*(a^4*b^2 + a^2*b^4)*c^7 + 4*(a^4*b^4 + a^2*b^6)*c^6 - 4*(a^6*b^4 + a^4*b^6)*c^5 - 2*(a^8*b^4 - 3*a^6*b^6 - 4*a^4*b^8)*c^4 + 4*(a^8*b^6 + a^6*b^8)*c^3 + 4*(a^8*b^8 + a^6*b^10)*c^2 + 4*(a^10*b^8 + a^8*b^10)*c)*x^3 + 4*(a^6*b^10 + a^4*b^12)*c^2 - sqrt(2)*(a^10*b^8 + a^8*b^10 + (a^4*b^2 + a^2*b^4)*c^6 - 4*(a^4*b^4 + a^2*b^6)*c^5 - (a^6*b^4 - 3*a^4*b^6 - 4*a^2*b^8)*c^4 - (a^8*b^6 - 3*a^6*b^8 - 4*a^4*b^10)*c^2 + 4*(a^8*b^8 + a^6*b^10)*c + (a^8*b^8 + 5*a^4*b^4*c^4 - a^4*b^2*c^5 + 2*(a^6*b^4 - 4*a^4*b^6)*c^3 - 2*(3*a^6*b^6 - 2*a^4*b^8)*c^2 - (a^8*b^6 - 4*a^6*b^8)*c)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)))*sqrt(a^2*x^3 + b^2)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2 - (a^4*b^4 - 2*a^4*b^2*c - a^2*b^2*c^2)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)))/(a^6*b^4 + 4*a^4*b^4*c - 4*a^2*b^2*c^3 + a^2*c^4 - 2*(a^4*b^2 - 2*a^2*b^4)*c^2))*((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2))^(1/4) + 4*(a^8*b^10 + a^6*b^12)*c + (a^10*b^8 + a^8*b^10 + (a^4*b^2 + a^2*b^4)*c^6 - 4*(a^4*b^4 + a^2*b^6)*c^5 - (a^6*b^4 - 3*a^4*b^6 - 4*a^2*b^8)*c^4 - (a^8*b^6 - 3*a^6*b^8 - 4*a^4*b^10)*c^2 + 4*(a^8*b^8 + a^6*b^10)*c)*sqrt((a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)/(a^4*b^2)))/(a^2 + b^2)) - 8*(a^6*b^5 + a^4*b^7 + (a^2*b + b^3)*c^4 + 2*(a^4*b^3 + a^2*b^5)*c^2)*log(b + sqrt(a^2*x^3 + b^2)) + 8*(a^6*b^5 + a^4*b^7 + (a^2*b + b^3)*c^4 + 2*(a^4*b^3 + a^2*b^5)*c^2)*log(-b + sqrt(a^2*x^3 + b^2)) + 8*(a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)*sqrt(a^2*x^3 + b^2))/(a^6*b^4 + a^4*b^6 + (a^2 + b^2)*c^4 + 2*(a^4*b^2 + a^2*b^4)*c^2)","B",0
2611,-1,0,0,0.000000," ","integrate((x^4+x)^(1/2)*(a*x^6+b)/(c*x^6-d),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2612,-1,0,0,0.000000," ","integrate(x*(k*x-1)*(1-2*k*x+(-1+2*k)*x^2)/((1-x)*x*(-k*x+1))^(2/3)/(-1+4*x+(-6+b)*x^2+(-2*b*k+4)*x^3+(b*k^2-1)*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2613,-1,0,0,0.000000," ","integrate((a*p*x^4+4*b*p*x^3-3*a*q)/(p*x^4+q)^(1/3)/(a^3*d*x^3+3*a^2*b*d*x^2+c*p*x^4+3*a*b^2*d*x+b^3*d+c*q),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2614,-1,0,0,0.000000," ","integrate(x^2/(x^2-(a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2615,-1,0,0,0.000000," ","integrate(x^2/(x^2-(a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2616,-1,0,0,0.000000," ","integrate((3+(2*k^2-1)*x-3*k^2*x^2-k^2*x^3)/((-x^2+1)*(-k^2*x^2+1))^(1/3)/(1-d-(1+2*d)*x-(k^2+d)*x^2+k^2*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2617,-1,0,0,0.000000," ","integrate((3+(-2*k^2+1)*x-3*k^2*x^2+k^2*x^3)/((-x^2+1)*(-k^2*x^2+1))^(1/3)/(-1+d-(1+2*d)*x+(k^2+d)*x^2+k^2*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2618,1,746,0,26.940841," ","integrate((a^4*x^4-b^4)^(1/2)*(a^4*x^4+b^4)/(a^8*x^8+b^8-c*x^4),x, algorithm=""fricas"")","\frac{1}{2} \, \left(-\frac{1}{2 \, a^{4} b^{4} - c}\right)^{\frac{1}{4}} \arctan\left(\frac{2 \, \sqrt{a^{4} x^{4} - b^{4}} {\left({\left(2 \, a^{4} b^{4} - c\right)} x^{3} \left(-\frac{1}{2 \, a^{4} b^{4} - c}\right)^{\frac{1}{4}} + {\left({\left(2 \, a^{8} b^{4} - a^{4} c\right)} x^{5} - {\left(2 \, a^{4} b^{8} - b^{4} c\right)} x\right)} \left(-\frac{1}{2 \, a^{4} b^{4} - c}\right)^{\frac{3}{4}}\right)} - {\left({\left(2 \, a^{4} b^{12} - b^{8} c + {\left(2 \, a^{12} b^{4} - a^{8} c\right)} x^{8} - {\left(8 \, a^{8} b^{8} - 6 \, a^{4} b^{4} c + c^{2}\right)} x^{4}\right)} \left(-\frac{1}{2 \, a^{4} b^{4} - c}\right)^{\frac{3}{4}} + 2 \, {\left({\left(2 \, a^{8} b^{4} - a^{4} c\right)} x^{6} - {\left(2 \, a^{4} b^{8} - b^{4} c\right)} x^{2}\right)} \left(-\frac{1}{2 \, a^{4} b^{4} - c}\right)^{\frac{1}{4}}\right)} \left(-\frac{1}{2 \, a^{4} b^{4} - c}\right)^{\frac{1}{4}}}{a^{8} x^{8} + b^{8} - c x^{4}}\right) + \frac{1}{8} \, \left(-\frac{1}{2 \, a^{4} b^{4} - c}\right)^{\frac{1}{4}} \log\left(\frac{2 \, {\left({\left(2 \, a^{8} b^{4} - a^{4} c\right)} x^{6} - {\left(2 \, a^{4} b^{8} - b^{4} c\right)} x^{2}\right)} \left(-\frac{1}{2 \, a^{4} b^{4} - c}\right)^{\frac{3}{4}} + 2 \, {\left(a^{4} x^{5} - b^{4} x - {\left(2 \, a^{4} b^{4} - c\right)} x^{3} \sqrt{-\frac{1}{2 \, a^{4} b^{4} - c}}\right)} \sqrt{a^{4} x^{4} - b^{4}} - {\left(a^{8} x^{8} + b^{8} - {\left(4 \, a^{4} b^{4} - c\right)} x^{4}\right)} \left(-\frac{1}{2 \, a^{4} b^{4} - c}\right)^{\frac{1}{4}}}{2 \, {\left(a^{8} x^{8} + b^{8} - c x^{4}\right)}}\right) - \frac{1}{8} \, \left(-\frac{1}{2 \, a^{4} b^{4} - c}\right)^{\frac{1}{4}} \log\left(-\frac{2 \, {\left({\left(2 \, a^{8} b^{4} - a^{4} c\right)} x^{6} - {\left(2 \, a^{4} b^{8} - b^{4} c\right)} x^{2}\right)} \left(-\frac{1}{2 \, a^{4} b^{4} - c}\right)^{\frac{3}{4}} - 2 \, {\left(a^{4} x^{5} - b^{4} x - {\left(2 \, a^{4} b^{4} - c\right)} x^{3} \sqrt{-\frac{1}{2 \, a^{4} b^{4} - c}}\right)} \sqrt{a^{4} x^{4} - b^{4}} - {\left(a^{8} x^{8} + b^{8} - {\left(4 \, a^{4} b^{4} - c\right)} x^{4}\right)} \left(-\frac{1}{2 \, a^{4} b^{4} - c}\right)^{\frac{1}{4}}}{2 \, {\left(a^{8} x^{8} + b^{8} - c x^{4}\right)}}\right)"," ",0,"1/2*(-1/(2*a^4*b^4 - c))^(1/4)*arctan((2*sqrt(a^4*x^4 - b^4)*((2*a^4*b^4 - c)*x^3*(-1/(2*a^4*b^4 - c))^(1/4) + ((2*a^8*b^4 - a^4*c)*x^5 - (2*a^4*b^8 - b^4*c)*x)*(-1/(2*a^4*b^4 - c))^(3/4)) - ((2*a^4*b^12 - b^8*c + (2*a^12*b^4 - a^8*c)*x^8 - (8*a^8*b^8 - 6*a^4*b^4*c + c^2)*x^4)*(-1/(2*a^4*b^4 - c))^(3/4) + 2*((2*a^8*b^4 - a^4*c)*x^6 - (2*a^4*b^8 - b^4*c)*x^2)*(-1/(2*a^4*b^4 - c))^(1/4))*(-1/(2*a^4*b^4 - c))^(1/4))/(a^8*x^8 + b^8 - c*x^4)) + 1/8*(-1/(2*a^4*b^4 - c))^(1/4)*log(1/2*(2*((2*a^8*b^4 - a^4*c)*x^6 - (2*a^4*b^8 - b^4*c)*x^2)*(-1/(2*a^4*b^4 - c))^(3/4) + 2*(a^4*x^5 - b^4*x - (2*a^4*b^4 - c)*x^3*sqrt(-1/(2*a^4*b^4 - c)))*sqrt(a^4*x^4 - b^4) - (a^8*x^8 + b^8 - (4*a^4*b^4 - c)*x^4)*(-1/(2*a^4*b^4 - c))^(1/4))/(a^8*x^8 + b^8 - c*x^4)) - 1/8*(-1/(2*a^4*b^4 - c))^(1/4)*log(-1/2*(2*((2*a^8*b^4 - a^4*c)*x^6 - (2*a^4*b^8 - b^4*c)*x^2)*(-1/(2*a^4*b^4 - c))^(3/4) - 2*(a^4*x^5 - b^4*x - (2*a^4*b^4 - c)*x^3*sqrt(-1/(2*a^4*b^4 - c)))*sqrt(a^4*x^4 - b^4) - (a^8*x^8 + b^8 - (4*a^4*b^4 - c)*x^4)*(-1/(2*a^4*b^4 - c))^(1/4))/(a^8*x^8 + b^8 - c*x^4))","B",0
2619,1,746,0,23.907653," ","integrate((a^8*x^8-b^8)/(a^4*x^4-b^4)^(1/2)/(a^8*x^8+b^8-c*x^4),x, algorithm=""fricas"")","\frac{1}{2} \, \left(-\frac{1}{2 \, a^{4} b^{4} - c}\right)^{\frac{1}{4}} \arctan\left(\frac{2 \, \sqrt{a^{4} x^{4} - b^{4}} {\left({\left(2 \, a^{4} b^{4} - c\right)} x^{3} \left(-\frac{1}{2 \, a^{4} b^{4} - c}\right)^{\frac{1}{4}} + {\left({\left(2 \, a^{8} b^{4} - a^{4} c\right)} x^{5} - {\left(2 \, a^{4} b^{8} - b^{4} c\right)} x\right)} \left(-\frac{1}{2 \, a^{4} b^{4} - c}\right)^{\frac{3}{4}}\right)} - {\left({\left(2 \, a^{4} b^{12} - b^{8} c + {\left(2 \, a^{12} b^{4} - a^{8} c\right)} x^{8} - {\left(8 \, a^{8} b^{8} - 6 \, a^{4} b^{4} c + c^{2}\right)} x^{4}\right)} \left(-\frac{1}{2 \, a^{4} b^{4} - c}\right)^{\frac{3}{4}} + 2 \, {\left({\left(2 \, a^{8} b^{4} - a^{4} c\right)} x^{6} - {\left(2 \, a^{4} b^{8} - b^{4} c\right)} x^{2}\right)} \left(-\frac{1}{2 \, a^{4} b^{4} - c}\right)^{\frac{1}{4}}\right)} \left(-\frac{1}{2 \, a^{4} b^{4} - c}\right)^{\frac{1}{4}}}{a^{8} x^{8} + b^{8} - c x^{4}}\right) + \frac{1}{8} \, \left(-\frac{1}{2 \, a^{4} b^{4} - c}\right)^{\frac{1}{4}} \log\left(\frac{2 \, {\left({\left(2 \, a^{8} b^{4} - a^{4} c\right)} x^{6} - {\left(2 \, a^{4} b^{8} - b^{4} c\right)} x^{2}\right)} \left(-\frac{1}{2 \, a^{4} b^{4} - c}\right)^{\frac{3}{4}} + 2 \, {\left(a^{4} x^{5} - b^{4} x - {\left(2 \, a^{4} b^{4} - c\right)} x^{3} \sqrt{-\frac{1}{2 \, a^{4} b^{4} - c}}\right)} \sqrt{a^{4} x^{4} - b^{4}} - {\left(a^{8} x^{8} + b^{8} - {\left(4 \, a^{4} b^{4} - c\right)} x^{4}\right)} \left(-\frac{1}{2 \, a^{4} b^{4} - c}\right)^{\frac{1}{4}}}{2 \, {\left(a^{8} x^{8} + b^{8} - c x^{4}\right)}}\right) - \frac{1}{8} \, \left(-\frac{1}{2 \, a^{4} b^{4} - c}\right)^{\frac{1}{4}} \log\left(-\frac{2 \, {\left({\left(2 \, a^{8} b^{4} - a^{4} c\right)} x^{6} - {\left(2 \, a^{4} b^{8} - b^{4} c\right)} x^{2}\right)} \left(-\frac{1}{2 \, a^{4} b^{4} - c}\right)^{\frac{3}{4}} - 2 \, {\left(a^{4} x^{5} - b^{4} x - {\left(2 \, a^{4} b^{4} - c\right)} x^{3} \sqrt{-\frac{1}{2 \, a^{4} b^{4} - c}}\right)} \sqrt{a^{4} x^{4} - b^{4}} - {\left(a^{8} x^{8} + b^{8} - {\left(4 \, a^{4} b^{4} - c\right)} x^{4}\right)} \left(-\frac{1}{2 \, a^{4} b^{4} - c}\right)^{\frac{1}{4}}}{2 \, {\left(a^{8} x^{8} + b^{8} - c x^{4}\right)}}\right)"," ",0,"1/2*(-1/(2*a^4*b^4 - c))^(1/4)*arctan((2*sqrt(a^4*x^4 - b^4)*((2*a^4*b^4 - c)*x^3*(-1/(2*a^4*b^4 - c))^(1/4) + ((2*a^8*b^4 - a^4*c)*x^5 - (2*a^4*b^8 - b^4*c)*x)*(-1/(2*a^4*b^4 - c))^(3/4)) - ((2*a^4*b^12 - b^8*c + (2*a^12*b^4 - a^8*c)*x^8 - (8*a^8*b^8 - 6*a^4*b^4*c + c^2)*x^4)*(-1/(2*a^4*b^4 - c))^(3/4) + 2*((2*a^8*b^4 - a^4*c)*x^6 - (2*a^4*b^8 - b^4*c)*x^2)*(-1/(2*a^4*b^4 - c))^(1/4))*(-1/(2*a^4*b^4 - c))^(1/4))/(a^8*x^8 + b^8 - c*x^4)) + 1/8*(-1/(2*a^4*b^4 - c))^(1/4)*log(1/2*(2*((2*a^8*b^4 - a^4*c)*x^6 - (2*a^4*b^8 - b^4*c)*x^2)*(-1/(2*a^4*b^4 - c))^(3/4) + 2*(a^4*x^5 - b^4*x - (2*a^4*b^4 - c)*x^3*sqrt(-1/(2*a^4*b^4 - c)))*sqrt(a^4*x^4 - b^4) - (a^8*x^8 + b^8 - (4*a^4*b^4 - c)*x^4)*(-1/(2*a^4*b^4 - c))^(1/4))/(a^8*x^8 + b^8 - c*x^4)) - 1/8*(-1/(2*a^4*b^4 - c))^(1/4)*log(-1/2*(2*((2*a^8*b^4 - a^4*c)*x^6 - (2*a^4*b^8 - b^4*c)*x^2)*(-1/(2*a^4*b^4 - c))^(3/4) - 2*(a^4*x^5 - b^4*x - (2*a^4*b^4 - c)*x^3*sqrt(-1/(2*a^4*b^4 - c)))*sqrt(a^4*x^4 - b^4) - (a^8*x^8 + b^8 - (4*a^4*b^4 - c)*x^4)*(-1/(2*a^4*b^4 - c))^(1/4))/(a^8*x^8 + b^8 - c*x^4))","B",0
2620,-1,0,0,0.000000," ","integrate((a*x+(a*x-b)^(1/2))^(1/2)/x^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2621,-1,0,0,0.000000," ","integrate((-1+2*k*x+(1-2*k)*x^2)/((1-x)*x*(-k*x+1))^(2/3)/(1-(2+b)*x+(b*k+1)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2622,1,471,0,2.905524," ","integrate(x^3*(x^2+3)/(x^2+1)/(-x^3+x^2+1)^(1/3)/(x^3+x^2+1),x, algorithm=""fricas"")","\frac{1}{4} \cdot 2^{\frac{2}{3}} {\left(i \, \sqrt{3} \left(-1\right)^{\frac{1}{3}} - \left(-1\right)^{\frac{1}{3}}\right)} \log\left(-\frac{x {\left(i \, \sqrt{3} \left(-1\right)^{\frac{1}{3}} - \left(-1\right)^{\frac{1}{3}}\right)}^{3} - 6 \cdot 2^{\frac{1}{3}} x {\left(i \, \sqrt{3} \left(-1\right)^{\frac{1}{3}} - \left(-1\right)^{\frac{1}{3}}\right)}^{2} + 8 \, x - 24 \, {\left(-x^{3} + x^{2} + 1\right)}^{\frac{1}{3}}}{8 \, x}\right) - \frac{1}{8} \, {\left(2^{\frac{2}{3}} {\left(i \, \sqrt{3} \left(-1\right)^{\frac{1}{3}} - \left(-1\right)^{\frac{1}{3}}\right)} - 2 \, \sqrt{\frac{3}{2}} \sqrt{-2^{\frac{1}{3}} {\left(i \, \sqrt{3} \left(-1\right)^{\frac{1}{3}} - \left(-1\right)^{\frac{1}{3}}\right)}^{2}}\right)} \log\left(-\frac{3 \, {\left(2^{\frac{2}{3}} \sqrt{\frac{3}{2}} \sqrt{-2^{\frac{1}{3}} {\left(i \, \sqrt{3} \left(-1\right)^{\frac{1}{3}} - \left(-1\right)^{\frac{1}{3}}\right)}^{2}} x {\left(i \, \sqrt{3} \left(-1\right)^{\frac{1}{3}} - \left(-1\right)^{\frac{1}{3}}\right)} + 2^{\frac{1}{3}} x {\left(i \, \sqrt{3} \left(-1\right)^{\frac{1}{3}} - \left(-1\right)^{\frac{1}{3}}\right)}^{2} - 8 \, {\left(-x^{3} + x^{2} + 1\right)}^{\frac{1}{3}}\right)}}{8 \, x}\right) - \frac{1}{8} \, {\left(2^{\frac{2}{3}} {\left(i \, \sqrt{3} \left(-1\right)^{\frac{1}{3}} - \left(-1\right)^{\frac{1}{3}}\right)} + 2 \, \sqrt{\frac{3}{2}} \sqrt{-2^{\frac{1}{3}} {\left(i \, \sqrt{3} \left(-1\right)^{\frac{1}{3}} - \left(-1\right)^{\frac{1}{3}}\right)}^{2}}\right)} \log\left(\frac{3 \, {\left(2^{\frac{2}{3}} \sqrt{\frac{3}{2}} \sqrt{-2^{\frac{1}{3}} {\left(i \, \sqrt{3} \left(-1\right)^{\frac{1}{3}} - \left(-1\right)^{\frac{1}{3}}\right)}^{2}} x {\left(i \, \sqrt{3} \left(-1\right)^{\frac{1}{3}} - \left(-1\right)^{\frac{1}{3}}\right)} - 2^{\frac{1}{3}} x {\left(i \, \sqrt{3} \left(-1\right)^{\frac{1}{3}} - \left(-1\right)^{\frac{1}{3}}\right)}^{2} + 8 \, {\left(-x^{3} + x^{2} + 1\right)}^{\frac{1}{3}}\right)}}{8 \, x}\right) - \sqrt{3} \arctan\left(-\frac{\sqrt{3} x - 2 \, \sqrt{3} {\left(-x^{3} + x^{2} + 1\right)}^{\frac{1}{3}}}{3 \, x}\right) + \log\left(\frac{x {\left(i \, \sqrt{3} \left(-1\right)^{\frac{1}{3}} - \left(-1\right)^{\frac{1}{3}}\right)}^{3} + 32 \, x + 24 \, {\left(-x^{3} + x^{2} + 1\right)}^{\frac{1}{3}}}{8 \, x}\right) - \frac{1}{2} \, \log\left(\frac{x^{2} - {\left(-x^{3} + x^{2} + 1\right)}^{\frac{1}{3}} x + {\left(-x^{3} + x^{2} + 1\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"1/4*2^(2/3)*(I*sqrt(3)*(-1)^(1/3) - (-1)^(1/3))*log(-1/8*(x*(I*sqrt(3)*(-1)^(1/3) - (-1)^(1/3))^3 - 6*2^(1/3)*x*(I*sqrt(3)*(-1)^(1/3) - (-1)^(1/3))^2 + 8*x - 24*(-x^3 + x^2 + 1)^(1/3))/x) - 1/8*(2^(2/3)*(I*sqrt(3)*(-1)^(1/3) - (-1)^(1/3)) - 2*sqrt(3/2)*sqrt(-2^(1/3)*(I*sqrt(3)*(-1)^(1/3) - (-1)^(1/3))^2))*log(-3/8*(2^(2/3)*sqrt(3/2)*sqrt(-2^(1/3)*(I*sqrt(3)*(-1)^(1/3) - (-1)^(1/3))^2)*x*(I*sqrt(3)*(-1)^(1/3) - (-1)^(1/3)) + 2^(1/3)*x*(I*sqrt(3)*(-1)^(1/3) - (-1)^(1/3))^2 - 8*(-x^3 + x^2 + 1)^(1/3))/x) - 1/8*(2^(2/3)*(I*sqrt(3)*(-1)^(1/3) - (-1)^(1/3)) + 2*sqrt(3/2)*sqrt(-2^(1/3)*(I*sqrt(3)*(-1)^(1/3) - (-1)^(1/3))^2))*log(3/8*(2^(2/3)*sqrt(3/2)*sqrt(-2^(1/3)*(I*sqrt(3)*(-1)^(1/3) - (-1)^(1/3))^2)*x*(I*sqrt(3)*(-1)^(1/3) - (-1)^(1/3)) - 2^(1/3)*x*(I*sqrt(3)*(-1)^(1/3) - (-1)^(1/3))^2 + 8*(-x^3 + x^2 + 1)^(1/3))/x) - sqrt(3)*arctan(-1/3*(sqrt(3)*x - 2*sqrt(3)*(-x^3 + x^2 + 1)^(1/3))/x) + log(1/8*(x*(I*sqrt(3)*(-1)^(1/3) - (-1)^(1/3))^3 + 32*x + 24*(-x^3 + x^2 + 1)^(1/3))/x) - 1/2*log((x^2 - (-x^3 + x^2 + 1)^(1/3)*x + (-x^3 + x^2 + 1)^(2/3))/x^2)","C",0
2623,1,423,0,0.576244," ","integrate((x^2+1)*(x^4-x^3)^(1/4)/(2*x^2+x-1),x, algorithm=""fricas"")","\frac{5}{12} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} x \sqrt{\frac{x^{2} + \sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x + \sqrt{x^{4} - x^{3}}}{x^{2}}} - x - \sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{5}{12} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} x \sqrt{\frac{x^{2} - \sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x + \sqrt{x^{4} - x^{3}}}{x^{2}}} + x - \sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{5}{48} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{2} + \sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x + \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) + \frac{5}{48} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{2} - \sqrt{2} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x + \sqrt{x^{4} - x^{3}}\right)}}{x^{2}}\right) + \frac{1}{16} \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(4 \, x - 5\right)} + \frac{8}{3} \cdot 2^{\frac{1}{4}} \arctan\left(\frac{2^{\frac{3}{4}} x \sqrt{\frac{\sqrt{2} x^{2} + \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2^{\frac{3}{4}} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{2 \, x}\right) - \frac{2}{3} \cdot 2^{\frac{1}{4}} \log\left(\frac{2^{\frac{1}{4}} x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{2}{3} \cdot 2^{\frac{1}{4}} \log\left(-\frac{2^{\frac{1}{4}} x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{57}{32} \, \arctan\left(\frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{57}{64} \, \log\left(\frac{x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{57}{64} \, \log\left(-\frac{x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"5/12*sqrt(2)*arctan((sqrt(2)*x*sqrt((x^2 + sqrt(2)*(x^4 - x^3)^(1/4)*x + sqrt(x^4 - x^3))/x^2) - x - sqrt(2)*(x^4 - x^3)^(1/4))/x) + 5/12*sqrt(2)*arctan((sqrt(2)*x*sqrt((x^2 - sqrt(2)*(x^4 - x^3)^(1/4)*x + sqrt(x^4 - x^3))/x^2) + x - sqrt(2)*(x^4 - x^3)^(1/4))/x) - 5/48*sqrt(2)*log(4*(x^2 + sqrt(2)*(x^4 - x^3)^(1/4)*x + sqrt(x^4 - x^3))/x^2) + 5/48*sqrt(2)*log(4*(x^2 - sqrt(2)*(x^4 - x^3)^(1/4)*x + sqrt(x^4 - x^3))/x^2) + 1/16*(x^4 - x^3)^(1/4)*(4*x - 5) + 8/3*2^(1/4)*arctan(1/2*(2^(3/4)*x*sqrt((sqrt(2)*x^2 + sqrt(x^4 - x^3))/x^2) - 2^(3/4)*(x^4 - x^3)^(1/4))/x) - 2/3*2^(1/4)*log((2^(1/4)*x + (x^4 - x^3)^(1/4))/x) + 2/3*2^(1/4)*log(-(2^(1/4)*x - (x^4 - x^3)^(1/4))/x) + 57/32*arctan((x^4 - x^3)^(1/4)/x) + 57/64*log((x + (x^4 - x^3)^(1/4))/x) - 57/64*log(-(x - (x^4 - x^3)^(1/4))/x)","B",0
2624,-1,0,0,0.000000," ","integrate((a*x^4+b*x^2)^(1/4)*(x^8+a*x^4+b)/(a*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2625,-1,0,0,0.000000," ","integrate((a*x^4+b*x^2)^(1/4)*(x^8+a*x^4+b)/(a*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2626,1,1896,0,2.497720," ","integrate(1/(x^2-1)^(1/3)/(x^2+3),x, algorithm=""fricas"")","\frac{1}{20736} \cdot 432^{\frac{5}{6}} \sqrt{3} \log\left(\frac{10368 \, {\left(6 \cdot 2^{\frac{2}{3}} {\left(x^{6} + 225 \, x^{4} - 189 \, x^{2} + 27\right)} + 144 \cdot 432^{\frac{1}{6}} \sqrt{3} {\left(x^{5} - x^{3}\right)} + {\left(432^{\frac{5}{6}} \sqrt{3} {\left(7 \, x^{3} - 3 \, x\right)} + 216 \cdot 2^{\frac{1}{3}} {\left(x^{4} + 3 \, x^{2}\right)}\right)} {\left(x^{2} - 1\right)}^{\frac{2}{3}} + 72 \, {\left(x^{5} + 18 \, x^{4} + 24 \, x^{3} - 18 \, x^{2} - 9 \, x\right)} {\left(x^{2} - 1\right)}^{\frac{1}{3}}\right)}}{x^{6} + 9 \, x^{4} + 27 \, x^{2} + 27}\right) + \frac{1}{20736} \cdot 432^{\frac{5}{6}} \sqrt{3} \log\left(\frac{2592 \, {\left(6 \cdot 2^{\frac{2}{3}} {\left(x^{6} + 225 \, x^{4} - 189 \, x^{2} + 27\right)} + 144 \cdot 432^{\frac{1}{6}} \sqrt{3} {\left(x^{5} - x^{3}\right)} + {\left(432^{\frac{5}{6}} \sqrt{3} {\left(7 \, x^{3} - 3 \, x\right)} + 216 \cdot 2^{\frac{1}{3}} {\left(x^{4} + 3 \, x^{2}\right)}\right)} {\left(x^{2} - 1\right)}^{\frac{2}{3}} + 72 \, {\left(x^{5} + 18 \, x^{4} + 24 \, x^{3} - 18 \, x^{2} - 9 \, x\right)} {\left(x^{2} - 1\right)}^{\frac{1}{3}}\right)}}{x^{6} + 9 \, x^{4} + 27 \, x^{2} + 27}\right) - \frac{1}{20736} \cdot 432^{\frac{5}{6}} \sqrt{3} \log\left(\frac{10368 \, {\left(6 \cdot 2^{\frac{2}{3}} {\left(x^{6} + 225 \, x^{4} - 189 \, x^{2} + 27\right)} - 144 \cdot 432^{\frac{1}{6}} \sqrt{3} {\left(x^{5} - x^{3}\right)} - {\left(432^{\frac{5}{6}} \sqrt{3} {\left(7 \, x^{3} - 3 \, x\right)} - 216 \cdot 2^{\frac{1}{3}} {\left(x^{4} + 3 \, x^{2}\right)}\right)} {\left(x^{2} - 1\right)}^{\frac{2}{3}} - 72 \, {\left(x^{5} - 18 \, x^{4} + 24 \, x^{3} + 18 \, x^{2} - 9 \, x\right)} {\left(x^{2} - 1\right)}^{\frac{1}{3}}\right)}}{x^{6} + 9 \, x^{4} + 27 \, x^{2} + 27}\right) - \frac{1}{20736} \cdot 432^{\frac{5}{6}} \sqrt{3} \log\left(\frac{2592 \, {\left(6 \cdot 2^{\frac{2}{3}} {\left(x^{6} + 225 \, x^{4} - 189 \, x^{2} + 27\right)} - 144 \cdot 432^{\frac{1}{6}} \sqrt{3} {\left(x^{5} - x^{3}\right)} - {\left(432^{\frac{5}{6}} \sqrt{3} {\left(7 \, x^{3} - 3 \, x\right)} - 216 \cdot 2^{\frac{1}{3}} {\left(x^{4} + 3 \, x^{2}\right)}\right)} {\left(x^{2} - 1\right)}^{\frac{2}{3}} - 72 \, {\left(x^{5} - 18 \, x^{4} + 24 \, x^{3} + 18 \, x^{2} - 9 \, x\right)} {\left(x^{2} - 1\right)}^{\frac{1}{3}}\right)}}{x^{6} + 9 \, x^{4} + 27 \, x^{2} + 27}\right) + \frac{1}{1296} \cdot 432^{\frac{5}{6}} \arctan\left(-\frac{432^{\frac{5}{6}} {\left(x^{5} - 18 \, x^{3} + 9 \, x\right)} {\left(x^{2} - 1\right)}^{\frac{1}{3}} - \sqrt{3} 2^{\frac{1}{3}} {\left(432^{\frac{5}{6}} {\left(x^{4} + 9 \, x^{2}\right)} {\left(x^{2} - 1\right)}^{\frac{2}{3}} + 288 \, \sqrt{3} {\left(2 \, x^{4} - 3 \, x^{2}\right)} {\left(x^{2} - 1\right)}^{\frac{1}{3}} + 6 \cdot 432^{\frac{1}{6}} {\left(x^{6} + 141 \, x^{4} - 153 \, x^{2} + 27\right)}\right)} + 648 \cdot 432^{\frac{1}{6}} {\left(3 \, x^{3} - x\right)} {\left(x^{2} - 1\right)}^{\frac{2}{3}} + 72 \, \sqrt{3} {\left(7 \, x^{5} + 6 \, x^{3} - 9 \, x\right)}}{36 \, {\left(x^{6} - 225 \, x^{4} + 243 \, x^{2} - 27\right)}}\right) + \frac{1}{2592} \cdot 432^{\frac{5}{6}} \arctan\left(-\frac{\sqrt{2} {\left(18 \, \sqrt{3} 2^{\frac{2}{3}} {\left(29 \, x^{11} + 879 \, x^{9} - 12078 \, x^{7} + 10638 \, x^{5} - 3807 \, x^{3} + 243 \, x\right)} - 2 \, {\left(x^{2} - 1\right)}^{\frac{2}{3}} {\left(432^{\frac{5}{6}} {\left(x^{10} + 153 \, x^{8} - 1701 \, x^{6} + 459 \, x^{4}\right)} - 216 \, \sqrt{3} 2^{\frac{1}{3}} {\left(31 \, x^{9} - 297 \, x^{7} - 27 \, x^{5} - 27 \, x^{3}\right)}\right)} + 36 \, {\left(x^{2} - 1\right)}^{\frac{1}{3}} {\left(\sqrt{3} {\left(x^{11} + 1167 \, x^{9} - 13158 \, x^{7} + 17550 \, x^{5} - 4779 \, x^{3} + 243 \, x\right)} - 8 \, \sqrt{3} {\left(13 \, x^{10} - 6 \, x^{8} - 1404 \, x^{6} + 1350 \, x^{4} - 81 \, x^{2}\right)}\right)} - 3 \cdot 432^{\frac{1}{6}} {\left(x^{12} + 7620 \, x^{10} - 92115 \, x^{8} + 169776 \, x^{6} - 109269 \, x^{4} + 16524 \, x^{2} - 729\right)}\right)} \sqrt{\frac{6 \cdot 2^{\frac{2}{3}} {\left(x^{6} + 225 \, x^{4} - 189 \, x^{2} + 27\right)} + 144 \cdot 432^{\frac{1}{6}} \sqrt{3} {\left(x^{5} - x^{3}\right)} + {\left(432^{\frac{5}{6}} \sqrt{3} {\left(7 \, x^{3} - 3 \, x\right)} + 216 \cdot 2^{\frac{1}{3}} {\left(x^{4} + 3 \, x^{2}\right)}\right)} {\left(x^{2} - 1\right)}^{\frac{2}{3}} + 72 \, {\left(x^{5} + 18 \, x^{4} + 24 \, x^{3} - 18 \, x^{2} - 9 \, x\right)} {\left(x^{2} - 1\right)}^{\frac{1}{3}}}{x^{6} + 9 \, x^{4} + 27 \, x^{2} + 27}} - 216 \, {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(x^{10} + 144 \, x^{8} - 918 \, x^{6} + 2808 \, x^{4} - 243 \, x^{2}\right)} - 3 \cdot 432^{\frac{1}{6}} {\left(31 \, x^{9} - 568 \, x^{7} + 1710 \, x^{5} - 432 \, x^{3} + 27 \, x\right)}\right)} {\left(x^{2} - 1\right)}^{\frac{2}{3}} - 18 \, \sqrt{3} {\left(x^{12} - 366 \, x^{10} + 14535 \, x^{8} - 42660 \, x^{6} + 58239 \, x^{4} - 14094 \, x^{2} + 729\right)} + 144 \, \sqrt{3} {\left(11 \, x^{11} - 807 \, x^{9} + 4518 \, x^{7} - 5238 \, x^{5} + 3807 \, x^{3} - 243 \, x\right)} + {\left(x^{2} - 1\right)}^{\frac{1}{3}} {\left(432^{\frac{5}{6}} {\left(x^{11} - 1215 \, x^{9} + 11754 \, x^{7} - 21006 \, x^{5} + 5589 \, x^{3} - 243 \, x\right)} - 432 \, \sqrt{3} 2^{\frac{1}{3}} {\left(13 \, x^{10} - 120 \, x^{8} + 1242 \, x^{6} - 1728 \, x^{4} + 81 \, x^{2}\right)}\right)}}{18 \, {\left(x^{12} - 8334 \, x^{10} + 110727 \, x^{8} - 301860 \, x^{6} + 187839 \, x^{4} - 21870 \, x^{2} + 729\right)}}\right) + \frac{1}{2592} \cdot 432^{\frac{5}{6}} \arctan\left(\frac{\sqrt{2} {\left(18 \, \sqrt{3} 2^{\frac{2}{3}} {\left(29 \, x^{11} + 879 \, x^{9} - 12078 \, x^{7} + 10638 \, x^{5} - 3807 \, x^{3} + 243 \, x\right)} + 2 \, {\left(x^{2} - 1\right)}^{\frac{2}{3}} {\left(432^{\frac{5}{6}} {\left(x^{10} + 153 \, x^{8} - 1701 \, x^{6} + 459 \, x^{4}\right)} + 216 \, \sqrt{3} 2^{\frac{1}{3}} {\left(31 \, x^{9} - 297 \, x^{7} - 27 \, x^{5} - 27 \, x^{3}\right)}\right)} + 36 \, {\left(x^{2} - 1\right)}^{\frac{1}{3}} {\left(\sqrt{3} {\left(x^{11} + 1167 \, x^{9} - 13158 \, x^{7} + 17550 \, x^{5} - 4779 \, x^{3} + 243 \, x\right)} + 8 \, \sqrt{3} {\left(13 \, x^{10} - 6 \, x^{8} - 1404 \, x^{6} + 1350 \, x^{4} - 81 \, x^{2}\right)}\right)} + 3 \cdot 432^{\frac{1}{6}} {\left(x^{12} + 7620 \, x^{10} - 92115 \, x^{8} + 169776 \, x^{6} - 109269 \, x^{4} + 16524 \, x^{2} - 729\right)}\right)} \sqrt{\frac{6 \cdot 2^{\frac{2}{3}} {\left(x^{6} + 225 \, x^{4} - 189 \, x^{2} + 27\right)} - 144 \cdot 432^{\frac{1}{6}} \sqrt{3} {\left(x^{5} - x^{3}\right)} - {\left(432^{\frac{5}{6}} \sqrt{3} {\left(7 \, x^{3} - 3 \, x\right)} - 216 \cdot 2^{\frac{1}{3}} {\left(x^{4} + 3 \, x^{2}\right)}\right)} {\left(x^{2} - 1\right)}^{\frac{2}{3}} - 72 \, {\left(x^{5} - 18 \, x^{4} + 24 \, x^{3} + 18 \, x^{2} - 9 \, x\right)} {\left(x^{2} - 1\right)}^{\frac{1}{3}}}{x^{6} + 9 \, x^{4} + 27 \, x^{2} + 27}} - 216 \, {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(x^{10} + 144 \, x^{8} - 918 \, x^{6} + 2808 \, x^{4} - 243 \, x^{2}\right)} + 3 \cdot 432^{\frac{1}{6}} {\left(31 \, x^{9} - 568 \, x^{7} + 1710 \, x^{5} - 432 \, x^{3} + 27 \, x\right)}\right)} {\left(x^{2} - 1\right)}^{\frac{2}{3}} - 18 \, \sqrt{3} {\left(x^{12} - 366 \, x^{10} + 14535 \, x^{8} - 42660 \, x^{6} + 58239 \, x^{4} - 14094 \, x^{2} + 729\right)} - 144 \, \sqrt{3} {\left(11 \, x^{11} - 807 \, x^{9} + 4518 \, x^{7} - 5238 \, x^{5} + 3807 \, x^{3} - 243 \, x\right)} - {\left(x^{2} - 1\right)}^{\frac{1}{3}} {\left(432^{\frac{5}{6}} {\left(x^{11} - 1215 \, x^{9} + 11754 \, x^{7} - 21006 \, x^{5} + 5589 \, x^{3} - 243 \, x\right)} + 432 \, \sqrt{3} 2^{\frac{1}{3}} {\left(13 \, x^{10} - 120 \, x^{8} + 1242 \, x^{6} - 1728 \, x^{4} + 81 \, x^{2}\right)}\right)}}{18 \, {\left(x^{12} - 8334 \, x^{10} + 110727 \, x^{8} - 301860 \, x^{6} + 187839 \, x^{4} - 21870 \, x^{2} + 729\right)}}\right)"," ",0,"1/20736*432^(5/6)*sqrt(3)*log(10368*(6*2^(2/3)*(x^6 + 225*x^4 - 189*x^2 + 27) + 144*432^(1/6)*sqrt(3)*(x^5 - x^3) + (432^(5/6)*sqrt(3)*(7*x^3 - 3*x) + 216*2^(1/3)*(x^4 + 3*x^2))*(x^2 - 1)^(2/3) + 72*(x^5 + 18*x^4 + 24*x^3 - 18*x^2 - 9*x)*(x^2 - 1)^(1/3))/(x^6 + 9*x^4 + 27*x^2 + 27)) + 1/20736*432^(5/6)*sqrt(3)*log(2592*(6*2^(2/3)*(x^6 + 225*x^4 - 189*x^2 + 27) + 144*432^(1/6)*sqrt(3)*(x^5 - x^3) + (432^(5/6)*sqrt(3)*(7*x^3 - 3*x) + 216*2^(1/3)*(x^4 + 3*x^2))*(x^2 - 1)^(2/3) + 72*(x^5 + 18*x^4 + 24*x^3 - 18*x^2 - 9*x)*(x^2 - 1)^(1/3))/(x^6 + 9*x^4 + 27*x^2 + 27)) - 1/20736*432^(5/6)*sqrt(3)*log(10368*(6*2^(2/3)*(x^6 + 225*x^4 - 189*x^2 + 27) - 144*432^(1/6)*sqrt(3)*(x^5 - x^3) - (432^(5/6)*sqrt(3)*(7*x^3 - 3*x) - 216*2^(1/3)*(x^4 + 3*x^2))*(x^2 - 1)^(2/3) - 72*(x^5 - 18*x^4 + 24*x^3 + 18*x^2 - 9*x)*(x^2 - 1)^(1/3))/(x^6 + 9*x^4 + 27*x^2 + 27)) - 1/20736*432^(5/6)*sqrt(3)*log(2592*(6*2^(2/3)*(x^6 + 225*x^4 - 189*x^2 + 27) - 144*432^(1/6)*sqrt(3)*(x^5 - x^3) - (432^(5/6)*sqrt(3)*(7*x^3 - 3*x) - 216*2^(1/3)*(x^4 + 3*x^2))*(x^2 - 1)^(2/3) - 72*(x^5 - 18*x^4 + 24*x^3 + 18*x^2 - 9*x)*(x^2 - 1)^(1/3))/(x^6 + 9*x^4 + 27*x^2 + 27)) + 1/1296*432^(5/6)*arctan(-1/36*(432^(5/6)*(x^5 - 18*x^3 + 9*x)*(x^2 - 1)^(1/3) - sqrt(3)*2^(1/3)*(432^(5/6)*(x^4 + 9*x^2)*(x^2 - 1)^(2/3) + 288*sqrt(3)*(2*x^4 - 3*x^2)*(x^2 - 1)^(1/3) + 6*432^(1/6)*(x^6 + 141*x^4 - 153*x^2 + 27)) + 648*432^(1/6)*(3*x^3 - x)*(x^2 - 1)^(2/3) + 72*sqrt(3)*(7*x^5 + 6*x^3 - 9*x))/(x^6 - 225*x^4 + 243*x^2 - 27)) + 1/2592*432^(5/6)*arctan(-1/18*(sqrt(2)*(18*sqrt(3)*2^(2/3)*(29*x^11 + 879*x^9 - 12078*x^7 + 10638*x^5 - 3807*x^3 + 243*x) - 2*(x^2 - 1)^(2/3)*(432^(5/6)*(x^10 + 153*x^8 - 1701*x^6 + 459*x^4) - 216*sqrt(3)*2^(1/3)*(31*x^9 - 297*x^7 - 27*x^5 - 27*x^3)) + 36*(x^2 - 1)^(1/3)*(sqrt(3)*(x^11 + 1167*x^9 - 13158*x^7 + 17550*x^5 - 4779*x^3 + 243*x) - 8*sqrt(3)*(13*x^10 - 6*x^8 - 1404*x^6 + 1350*x^4 - 81*x^2)) - 3*432^(1/6)*(x^12 + 7620*x^10 - 92115*x^8 + 169776*x^6 - 109269*x^4 + 16524*x^2 - 729))*sqrt((6*2^(2/3)*(x^6 + 225*x^4 - 189*x^2 + 27) + 144*432^(1/6)*sqrt(3)*(x^5 - x^3) + (432^(5/6)*sqrt(3)*(7*x^3 - 3*x) + 216*2^(1/3)*(x^4 + 3*x^2))*(x^2 - 1)^(2/3) + 72*(x^5 + 18*x^4 + 24*x^3 - 18*x^2 - 9*x)*(x^2 - 1)^(1/3))/(x^6 + 9*x^4 + 27*x^2 + 27)) - 216*(sqrt(3)*2^(2/3)*(x^10 + 144*x^8 - 918*x^6 + 2808*x^4 - 243*x^2) - 3*432^(1/6)*(31*x^9 - 568*x^7 + 1710*x^5 - 432*x^3 + 27*x))*(x^2 - 1)^(2/3) - 18*sqrt(3)*(x^12 - 366*x^10 + 14535*x^8 - 42660*x^6 + 58239*x^4 - 14094*x^2 + 729) + 144*sqrt(3)*(11*x^11 - 807*x^9 + 4518*x^7 - 5238*x^5 + 3807*x^3 - 243*x) + (x^2 - 1)^(1/3)*(432^(5/6)*(x^11 - 1215*x^9 + 11754*x^7 - 21006*x^5 + 5589*x^3 - 243*x) - 432*sqrt(3)*2^(1/3)*(13*x^10 - 120*x^8 + 1242*x^6 - 1728*x^4 + 81*x^2)))/(x^12 - 8334*x^10 + 110727*x^8 - 301860*x^6 + 187839*x^4 - 21870*x^2 + 729)) + 1/2592*432^(5/6)*arctan(1/18*(sqrt(2)*(18*sqrt(3)*2^(2/3)*(29*x^11 + 879*x^9 - 12078*x^7 + 10638*x^5 - 3807*x^3 + 243*x) + 2*(x^2 - 1)^(2/3)*(432^(5/6)*(x^10 + 153*x^8 - 1701*x^6 + 459*x^4) + 216*sqrt(3)*2^(1/3)*(31*x^9 - 297*x^7 - 27*x^5 - 27*x^3)) + 36*(x^2 - 1)^(1/3)*(sqrt(3)*(x^11 + 1167*x^9 - 13158*x^7 + 17550*x^5 - 4779*x^3 + 243*x) + 8*sqrt(3)*(13*x^10 - 6*x^8 - 1404*x^6 + 1350*x^4 - 81*x^2)) + 3*432^(1/6)*(x^12 + 7620*x^10 - 92115*x^8 + 169776*x^6 - 109269*x^4 + 16524*x^2 - 729))*sqrt((6*2^(2/3)*(x^6 + 225*x^4 - 189*x^2 + 27) - 144*432^(1/6)*sqrt(3)*(x^5 - x^3) - (432^(5/6)*sqrt(3)*(7*x^3 - 3*x) - 216*2^(1/3)*(x^4 + 3*x^2))*(x^2 - 1)^(2/3) - 72*(x^5 - 18*x^4 + 24*x^3 + 18*x^2 - 9*x)*(x^2 - 1)^(1/3))/(x^6 + 9*x^4 + 27*x^2 + 27)) - 216*(sqrt(3)*2^(2/3)*(x^10 + 144*x^8 - 918*x^6 + 2808*x^4 - 243*x^2) + 3*432^(1/6)*(31*x^9 - 568*x^7 + 1710*x^5 - 432*x^3 + 27*x))*(x^2 - 1)^(2/3) - 18*sqrt(3)*(x^12 - 366*x^10 + 14535*x^8 - 42660*x^6 + 58239*x^4 - 14094*x^2 + 729) - 144*sqrt(3)*(11*x^11 - 807*x^9 + 4518*x^7 - 5238*x^5 + 3807*x^3 - 243*x) - (x^2 - 1)^(1/3)*(432^(5/6)*(x^11 - 1215*x^9 + 11754*x^7 - 21006*x^5 + 5589*x^3 - 243*x) + 432*sqrt(3)*2^(1/3)*(13*x^10 - 120*x^8 + 1242*x^6 - 1728*x^4 + 81*x^2)))/(x^12 - 8334*x^10 + 110727*x^8 - 301860*x^6 + 187839*x^4 - 21870*x^2 + 729))","B",0
2627,1,324,0,12.662606," ","integrate((1+x)/(x^2+3*x+1)/(-x^3+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{30} \cdot 50^{\frac{1}{6}} \sqrt{3} \sqrt{2} \arctan\left(\frac{50^{\frac{1}{6}} \sqrt{3} {\left(2 \cdot 50^{\frac{2}{3}} \sqrt{2} {\left(3 \, x^{4} + 8 \, x^{3} + 3 \, x^{2} + 8 \, x + 3\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} + 50^{\frac{1}{3}} \sqrt{2} {\left(41 \, x^{6} - 11 \, x^{5} + 50 \, x^{4} - 35 \, x^{3} + 50 \, x^{2} - 11 \, x + 41\right)} - 20 \, \sqrt{2} {\left(11 \, x^{5} - 15 \, x^{4} + 15 \, x^{3} - 15 \, x^{2} + 15 \, x - 11\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}}{30 \, {\left(19 \, x^{6} - 69 \, x^{5} + 30 \, x^{4} - 85 \, x^{3} + 30 \, x^{2} - 69 \, x + 19\right)}}\right) - \frac{1}{300} \cdot 50^{\frac{2}{3}} \log\left(\frac{50^{\frac{2}{3}} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} {\left(3 \, x^{2} - x + 3\right)} + 50^{\frac{1}{3}} {\left(11 \, x^{4} - 4 \, x^{3} + 11 \, x^{2} - 4 \, x + 11\right)} - 20 \, {\left(2 \, x^{3} - x^{2} + x - 2\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{x^{4} + 6 \, x^{3} + 11 \, x^{2} + 6 \, x + 1}\right) + \frac{1}{150} \cdot 50^{\frac{2}{3}} \log\left(\frac{50^{\frac{2}{3}} {\left(x^{2} + 3 \, x + 1\right)} - 10 \cdot 50^{\frac{1}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} {\left(x - 1\right)} - 50 \, {\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2} + 3 \, x + 1}\right)"," ",0,"1/30*50^(1/6)*sqrt(3)*sqrt(2)*arctan(1/30*50^(1/6)*sqrt(3)*(2*50^(2/3)*sqrt(2)*(3*x^4 + 8*x^3 + 3*x^2 + 8*x + 3)*(-x^3 + 1)^(2/3) + 50^(1/3)*sqrt(2)*(41*x^6 - 11*x^5 + 50*x^4 - 35*x^3 + 50*x^2 - 11*x + 41) - 20*sqrt(2)*(11*x^5 - 15*x^4 + 15*x^3 - 15*x^2 + 15*x - 11)*(-x^3 + 1)^(1/3))/(19*x^6 - 69*x^5 + 30*x^4 - 85*x^3 + 30*x^2 - 69*x + 19)) - 1/300*50^(2/3)*log((50^(2/3)*(-x^3 + 1)^(2/3)*(3*x^2 - x + 3) + 50^(1/3)*(11*x^4 - 4*x^3 + 11*x^2 - 4*x + 11) - 20*(2*x^3 - x^2 + x - 2)*(-x^3 + 1)^(1/3))/(x^4 + 6*x^3 + 11*x^2 + 6*x + 1)) + 1/150*50^(2/3)*log((50^(2/3)*(x^2 + 3*x + 1) - 10*50^(1/3)*(-x^3 + 1)^(1/3)*(x - 1) - 50*(-x^3 + 1)^(2/3))/(x^2 + 3*x + 1))","A",0
2628,-1,0,0,0.000000," ","integrate((3*k+2*(k^2+1)*x-k*(k^2+1)*x^2-4*k^2*x^3-k^3*x^4)/((-x^2+1)*(-k^2*x^2+1))^(2/3)/(1-d-(1+2*d)*k*x-(d*k^2+1)*x^2+k*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2629,-1,0,0,0.000000," ","integrate((x^4-x)^(1/2)*(a*x^6+b)/(c*x^6-d),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2630,-1,0,0,0.000000," ","integrate((a^2*b-2*a^2*x+(2*a-b)*x^2)/(x*(-a+x)*(-b+x))^(2/3)/(a^2*d+(-2*a*d+b)*x+(-1+d)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2631,-1,0,0,0.000000," ","integrate((2*a*b^2*x-b*(2*a+b)*x^2+x^4)/(x*(-a+x)*(-b+x)^2)^(2/3)/(-a*b^2+b*(2*a+b)*x-(a+2*b+d)*x^2+x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2632,-1,0,0,0.000000," ","integrate((-3*k+2*(k^2+1)*x+k*(k^2+1)*x^2-4*k^2*x^3+k^3*x^4)/((-x^2+1)*(-k^2*x^2+1))^(2/3)/(-1+d-(1+2*d)*k*x+(d*k^2+1)*x^2+k*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2633,1,4026,0,4.354006," ","integrate((1-((-1+3*x)*(3+4*x))^(3/2))/(1+((-1+3*x)*(3+4*x))^(3/2)),x, algorithm=""fricas"")","-\frac{1}{24778017} \cdot 22753^{\frac{1}{4}} {\left(2 \, \sqrt{22753} \sqrt{3} - 217 \, \sqrt{3}\right)} \sqrt{217 \, \sqrt{22753} + 45506} \log\left(19084456267776 \, x^{2} + \frac{1456192}{363} \cdot 22753^{\frac{1}{4}} {\left(73 \, \sqrt{22753} \sqrt{3} {\left(24 \, x + 5\right)} + 22753 \, \sqrt{3} {\left(24 \, x + 5\right)}\right)} \sqrt{217 \, \sqrt{22753} + 45506} + 7951856778240 \, x + 33132736576 \, \sqrt{22753} + 828318414400\right) + \frac{1}{24778017} \cdot 22753^{\frac{1}{4}} {\left(2 \, \sqrt{22753} \sqrt{3} - 217 \, \sqrt{3}\right)} \sqrt{217 \, \sqrt{22753} + 45506} \log\left(19084456267776 \, x^{2} - \frac{1456192}{363} \cdot 22753^{\frac{1}{4}} {\left(73 \, \sqrt{22753} \sqrt{3} {\left(24 \, x + 5\right)} + 22753 \, \sqrt{3} {\left(24 \, x + 5\right)}\right)} \sqrt{217 \, \sqrt{22753} + 45506} + 7951856778240 \, x + 33132736576 \, \sqrt{22753} + 828318414400\right) + \frac{1}{49556034} \cdot 22753^{\frac{1}{4}} {\left(2 \, \sqrt{22753} \sqrt{3} - 217 \, \sqrt{3}\right)} \sqrt{217 \, \sqrt{22753} + 45506} \log\left(\frac{2548336 \, {\left(25633948819248 \, x^{4} + 21361624016040 \, x^{3} + 2 \cdot 22753^{\frac{1}{4}} {\left(\sqrt{22753} \sqrt{3} {\left(2543904 \, x^{3} + 1589940 \, x^{2} - 1591391 \, x - 377545\right)} - 22753 \, \sqrt{3} {\left(69696 \, x^{3} + 43560 \, x^{2} - 15430 \, x - 4475\right)}\right)} \sqrt{12 \, x^{2} + 5 \, x - 3} \sqrt{217 \, \sqrt{22753} + 45506} - 7981387464633 \, x^{2} + 33037356 \, \sqrt{22753} {\left(6912 \, x^{4} + 5760 \, x^{3} - 228 \, x^{2} - 595 \, x - 75\right)} - 5179885750545 \, x + 1741704630303\right)}}{363 \, x^{4}}\right) - \frac{1}{49556034} \cdot 22753^{\frac{1}{4}} {\left(2 \, \sqrt{22753} \sqrt{3} - 217 \, \sqrt{3}\right)} \sqrt{217 \, \sqrt{22753} + 45506} \log\left(\frac{2548336 \, {\left(25633948819248 \, x^{4} + 21361624016040 \, x^{3} - 2 \cdot 22753^{\frac{1}{4}} {\left(\sqrt{22753} \sqrt{3} {\left(2543904 \, x^{3} + 1589940 \, x^{2} - 1591391 \, x - 377545\right)} - 22753 \, \sqrt{3} {\left(69696 \, x^{3} + 43560 \, x^{2} - 15430 \, x - 4475\right)}\right)} \sqrt{12 \, x^{2} + 5 \, x - 3} \sqrt{217 \, \sqrt{22753} + 45506} - 7981387464633 \, x^{2} + 33037356 \, \sqrt{22753} {\left(6912 \, x^{4} + 5760 \, x^{3} - 228 \, x^{2} - 595 \, x - 75\right)} - 5179885750545 \, x + 1741704630303\right)}}{363 \, x^{4}}\right) - \frac{4}{68259} \cdot 22753^{\frac{1}{4}} \sqrt{217 \, \sqrt{22753} + 45506} \arctan\left(-\frac{1}{198224136} \cdot 22753^{\frac{3}{4}} {\left(\sqrt{22753} {\left(24 \, x + 5\right)} + 1752 \, x + 365\right)} \sqrt{217 \, \sqrt{22753} + 45506} + \frac{1}{6541396488} \cdot 22753^{\frac{1}{4}} \sqrt{4757379264 \, x^{2} + 22753^{\frac{1}{4}} {\left(73 \, \sqrt{22753} \sqrt{3} {\left(24 \, x + 5\right)} + 22753 \, \sqrt{3} {\left(24 \, x + 5\right)}\right)} \sqrt{217 \, \sqrt{22753} + 45506} + 1982241360 \, x + 8259339 \, \sqrt{22753} + 206483475} {\left(\sqrt{22753} \sqrt{3} + 73 \, \sqrt{3}\right)} \sqrt{217 \, \sqrt{22753} + 45506} - \frac{1}{72} \, \sqrt{22753} \sqrt{3} - \frac{145}{72} \, \sqrt{3}\right) - \frac{4}{68259} \cdot 22753^{\frac{1}{4}} \sqrt{217 \, \sqrt{22753} + 45506} \arctan\left(-\frac{1}{198224136} \cdot 22753^{\frac{3}{4}} {\left(\sqrt{22753} {\left(24 \, x + 5\right)} + 1752 \, x + 365\right)} \sqrt{217 \, \sqrt{22753} + 45506} + \frac{1}{6541396488} \cdot 22753^{\frac{1}{4}} \sqrt{4757379264 \, x^{2} - 22753^{\frac{1}{4}} {\left(73 \, \sqrt{22753} \sqrt{3} {\left(24 \, x + 5\right)} + 22753 \, \sqrt{3} {\left(24 \, x + 5\right)}\right)} \sqrt{217 \, \sqrt{22753} + 45506} + 1982241360 \, x + 8259339 \, \sqrt{22753} + 206483475} {\left(\sqrt{22753} \sqrt{3} + 73 \, \sqrt{3}\right)} \sqrt{217 \, \sqrt{22753} + 45506} + \frac{1}{72} \, \sqrt{22753} \sqrt{3} + \frac{145}{72} \, \sqrt{3}\right) - \frac{2}{68259} \cdot 22753^{\frac{1}{4}} \sqrt{217 \, \sqrt{22753} + 45506} \arctan\left(\frac{1356417723145733248 \, \sqrt{22753} \sqrt{3} {\left(563469550783693848576 \, x^{16} + 1878231835945646161920 \, x^{15} + 2271068175922858819584 \, x^{14} + 917515317092920197120 \, x^{13} - 397395114882246070272 \, x^{12} - 488448194480130631680 \, x^{11} - 102981130930246908672 \, x^{10} + 50677635024881913600 \, x^{9} + 28077563371310921808 \, x^{8} + 1905299283994534680 \, x^{7} - 1783382469000052525 \, x^{6} - 491153348417493500 \, x^{5} - 13212596524478125 \, x^{4} + 14755129740318750 \, x^{3} + 2937991251937500 \, x^{2} + 238996760625000 \, x + 7491487500000\right)} + 15396409028 \, \sqrt{12 \, x^{2} + 5 \, x - 3} {\left(8 \cdot 22753^{\frac{3}{4}} {\left(1457154908615709265231872 \, x^{15} + 4553609089424091453849600 \, x^{14} + 5102105388283684293083136 \, x^{13} + 1828085567296311560540160 \, x^{12} - 863574952880865256243200 \, x^{11} - 890603170338272292000000 \, x^{10} - 149235373578134499034752 \, x^{9} + 85268363246378743209840 \, x^{8} + 37350229493890469150352 \, x^{7} + 1124904436500694490805 \, x^{6} - 2071578487513731147075 \, x^{5} - 408393684914052252500 \, x^{4} + 5113941819580075000 \, x^{3} + 10286357222320650000 \, x^{2} - \sqrt{22753} {\left(14563504231703447076864 \, x^{15} + 45510950724073272115200 \, x^{14} + 49683213355961339707392 \, x^{13} + 14723734207966250987520 \, x^{12} - 11905446987615605391360 \, x^{11} - 9631257905511143827200 \, x^{10} - 827225088416529429888 \, x^{9} + 1284470756168556018960 \, x^{8} + 413130382691111915760 \, x^{7} - 26586072949565917725 \, x^{6} - 33494258600700079125 \, x^{5} - 4651259921729237500 \, x^{4} + 503162532696125000 \, x^{3} + 208409843265750000 \, x^{2} + 22116943248750000 \, x + 829771425000000\right)} + 1240755306257250000 \, x + 49031857035000000\right)} + 22753^{\frac{1}{4}} {\left(226000863457782769580507136 \, x^{15} + 706252698305571154939084800 \, x^{14} + 882047337231387757676101632 \, x^{13} + 529242917217908536430161920 \, x^{12} + 103872284956367546157232128 \, x^{11} - 62388940077891611478455040 \, x^{10} - 49563221657203570994499456 \, x^{9} - 12730595895167988050106480 \, x^{8} + 554064252652090432756800 \, x^{7} + 1256928245962551637657875 \, x^{6} + 328688538932058376022500 \, x^{5} + 19963652581720216112500 \, x^{4} - 8191711857965818500000 \, x^{3} - 2179114600304958750000 \, x^{2} - \sqrt{22753} {\left(2044285859425092346183680 \, x^{15} + 6388393310703413581824000 \, x^{14} + 7841025005927637045473280 \, x^{13} + 4414819134282875911756800 \, x^{12} + 538457555843790977376000 \, x^{11} - 772314613728660371160000 \, x^{10} - 481967552475778726993968 \, x^{9} - 92655853015809690644940 \, x^{8} + 21161605556499146054775 \, x^{7} + 15688561753406924179875 \, x^{6} + 3172766952980954255000 \, x^{5} - 45012653614268537500 \, x^{4} - 151679297354024250000 \, x^{3} - 32137635197688750000 \, x^{2} - 3042642600900000000 \, x - 114444059625000000\right)} - 221682523937175000000 \, x - 8642024551125000000\right)}\right)} \sqrt{217 \, \sqrt{22753} + 45506} - 2 \, \sqrt{\frac{159271}{3}} {\left(27134681728 \, \sqrt{22753} \sqrt{3} {\left(139120804771135488 \, x^{16} + 405769013915811840 \, x^{15} + 493567913495494656 \, x^{14} + 318121662053744640 \, x^{13} + 100642264749831168 \, x^{12} - 5111950591238400 \, x^{11} - 19657015863638400 \, x^{10} - 8715811943124000 \, x^{9} - 1630769907877500 \, x^{8} + 113368251221875 \, x^{7} + 149750549812500 \, x^{6} + 41899409296875 \, x^{5} + 6333082031250 \, x^{4} + 527132812500 \, x^{3} + 18984375000 \, x^{2}\right)} + 2 \, \sqrt{12 \, x^{2} + 5 \, x - 3} {\left(16 \cdot 22753^{\frac{3}{4}} {\left(1543841518716120268800000 \, x^{15} + 4181237446522825728000000 \, x^{14} + 3860978610751616533929984 \, x^{13} + 863073914960113756922880 \, x^{12} - 779224547194529048780544 \, x^{11} - 505412564215843004123520 \, x^{10} - 44629598827645171524288 \, x^{9} + 45140229707428827590580 \, x^{8} + 15007263884546349529425 \, x^{7} + 589773342093770225625 \, x^{6} - 556680655243090300000 \, x^{5} - 128109070123096725000 \, x^{4} - 11749611649025250000 \, x^{3} - 410825582133750000 \, x^{2} - \sqrt{22753} {\left(21276027658098433327104 \, x^{15} + 57622574907349923594240 \, x^{14} + 53119535706899223404544 \, x^{13} + 11689157526079963438080 \, x^{12} - 10919222381610157605120 \, x^{11} - 7036738795771404969600 \, x^{10} - 621131294598173087040 \, x^{9} + 627911643717314973900 \, x^{8} + 209401976660299863375 \, x^{7} + 8625388473062034375 \, x^{6} - 7622651689386500000 \, x^{5} - 1763320756084875000 \, x^{4} - 161896223238750000 \, x^{3} - 5660707106250000 \, x^{2}\right)}\right)} + 22753^{\frac{1}{4}} {\left(509656134754982980140171264 \, x^{15} + 1380318698294745571212963840 \, x^{14} + 1486487472085635931644235776 \, x^{13} + 770508498313922398326616320 \, x^{12} + 124963098981444337336115328 \, x^{11} - 82495543495022435187923760 \, x^{10} - 58955528599267342238258400 \, x^{9} - 15477767595243310670483625 \, x^{8} - 532651343778452286667500 \, x^{7} + 892245329348370198662500 \, x^{6} + 298063292793256165500000 \, x^{5} + 47370119073953276250000 \, x^{4} + 3944120990334525000000 \, x^{3} + 137906328333375000000 \, x^{2} - \sqrt{22753} {\left(5837765559213345945255936 \, x^{15} + 15810615056202811935068160 \, x^{14} + 17009049955286781216534528 \, x^{13} + 8785189894367114717448960 \, x^{12} + 1388383215845925452160384 \, x^{11} - 972840468206549851019280 \, x^{10} - 687499322224809431095200 \, x^{9} - 181009235153441909725875 \, x^{8} - 6892716223097226502500 \, x^{7} + 10106730756524363487500 \, x^{6} + 3404105226535396500000 \, x^{5} + 542149149604578750000 \, x^{4} + 45171650098575000000 \, x^{3} + 1579428325125000000 \, x^{2}\right)}\right)}\right)} \sqrt{217 \, \sqrt{22753} + 45506} - 2753113 \, \sqrt{3} {\left(769218282044368679190528 \, x^{16} + 2243553322629408647639040 \, x^{15} + 2722019619733995420822528 \, x^{14} + 1741473842011670423704320 \, x^{13} + 535691716482687615998784 \, x^{12} - 43747987364926664929200 \, x^{11} - 116676997755758617916700 \, x^{10} - 51170731794120633771375 \, x^{9} - 9829950857470192751250 \, x^{8} + 466218706688512212500 \, x^{7} + 805909745662305375000 \, x^{6} + 229732359820908750000 \, x^{5} + 34928426088562500000 \, x^{4} + 2913509442375000000 \, x^{3} + 104928311250000000 \, x^{2}\right)} + 968 \, \sqrt{22753} {\left(11 \, \sqrt{22753} \sqrt{3} {\left(11133280894478707851264 \, x^{16} + 32472069275562897899520 \, x^{15} + 34961846584368741912576 \, x^{14} + 14116960109825036605440 \, x^{13} - 2578559534967289865472 \, x^{12} - 4511715066433937606400 \, x^{11} - 1398435875141700988944 \, x^{10} + 107026713984510716760 \, x^{9} + 180393314877965661225 \, x^{8} + 42277231451151825375 \, x^{7} - 570863512141243750 \, x^{6} - 2156985962491425000 \, x^{5} - 452241585490500000 \, x^{4} - 41499802811250000 \, x^{3} - 1494590737500000 \, x^{2}\right)} - 159271 \, \sqrt{3} {\left(837463052302553972736 \, x^{16} + 2442600569215782420480 \, x^{15} + 2614273634565545472000 \, x^{14} + 1022870301725465856000 \, x^{13} - 233881116511753062144 \, x^{12} - 360426948847640812800 \, x^{11} - 110377763294502560688 \, x^{10} + 8394027644330120520 \, x^{9} + 14260646520179433075 \, x^{8} + 3417531763495585125 \, x^{7} - 307353208581250 \, x^{6} - 158065693208475000 \, x^{5} - 33827508643500000 \, x^{4} - 3119304903750000 \, x^{3} - 112339912500000 \, x^{2}\right)}\right)}\right)} \sqrt{\frac{25633948819248 \, x^{4} + 21361624016040 \, x^{3} + 2 \cdot 22753^{\frac{1}{4}} {\left(\sqrt{22753} \sqrt{3} {\left(2543904 \, x^{3} + 1589940 \, x^{2} - 1591391 \, x - 377545\right)} - 22753 \, \sqrt{3} {\left(69696 \, x^{3} + 43560 \, x^{2} - 15430 \, x - 4475\right)}\right)} \sqrt{12 \, x^{2} + 5 \, x - 3} \sqrt{217 \, \sqrt{22753} + 45506} - 7981387464633 \, x^{2} + 33037356 \, \sqrt{22753} {\left(6912 \, x^{4} + 5760 \, x^{3} - 228 \, x^{2} - 595 \, x - 75\right)} - 5179885750545 \, x + 1741704630303}{x^{4}}} - 1513859066010863 \, \sqrt{3} {\left(13576751558109854315642880 \, x^{16} + 45255838527032847718809600 \, x^{15} + 56292025222029827201384448 \, x^{14} + 26689036372747614913904640 \, x^{13} - 4717355119347430651415040 \, x^{12} - 9964876712917755398169600 \, x^{11} - 3004327514898423306684864 \, x^{10} + 551351931987193055323200 \, x^{9} + 502630856461513673065557 \, x^{8} + 72376829421365242444470 \, x^{7} - 18222237302931806775100 \, x^{6} - 7057276971466800749000 \, x^{5} - 514495325192847850000 \, x^{4} + 108121429522446900000 \, x^{3} + 23467018179339000000 \, x^{2} + 1564662500730000000 \, x + 29246767200000000\right)} + 3725930984776 \, \sqrt{22753} {\left(\sqrt{22753} \sqrt{3} {\left(217802415187974448742400 \, x^{16} + 726008050626581495808000 \, x^{15} + 942100751373820723445760 \, x^{14} + 542040232138022912716800 \, x^{13} + 42536156642286573911040 \, x^{12} - 121361620564714749062400 \, x^{11} - 66346494096878268617664 \, x^{10} - 8423828365205592586800 \, x^{9} + 4938327917753662627236 \, x^{8} + 2356458373231956745185 \, x^{7} + 307300339956542180475 \, x^{6} - 53544679061058547750 \, x^{5} - 25131460994000275000 \, x^{4} - 3657330255837300000 \, x^{3} - 206334278174250000 \, x^{2} + 2324736382500000 \, x + 522263700000000\right)} - 22753 \, \sqrt{3} {\left(3686750823320524947456 \, x^{16} + 12289169411068416491520 \, x^{15} + 15098097987625062187008 \, x^{14} + 6699232899028429885440 \, x^{13} - 1933672081302751841280 \, x^{12} - 3100521086130742675200 \, x^{11} - 894636158071089054528 \, x^{10} + 219693320035867436400 \, x^{9} + 195902528934273209964 \, x^{8} + 32158375953240369315 \, x^{7} - 8982246266755377975 \, x^{6} - 4350253576672402250 \, x^{5} - 439537219633475000 \, x^{4} + 92790568452300000 \, x^{3} + 29873937449250000 \, x^{2} + 3122149117500000 \, x + 119863800000000\right)}\right)}}{59040503574423657 \, {\left(3273904261412608177668096 \, x^{16} + 10913014204708693925560320 \, x^{15} + 13145192753445784215797760 \, x^{14} + 5184286401994276237516800 \, x^{13} - 2470469615059733328056832 \, x^{12} - 2910634018693345878382080 \, x^{11} - 595321320958698206129472 \, x^{10} + 310935095761947268053600 \, x^{9} + 169217713571892642030717 \, x^{8} + 11320598297034116794320 \, x^{7} - 10774586517248316715600 \, x^{6} - 2972577173373156744000 \, x^{5} - 85333313258014100000 \, x^{4} + 87760768027346400000 \, x^{3} + 17605709885484000000 \, x^{2} + 1439011964880000000 \, x + 45347015700000000\right)}}\right) - \frac{2}{68259} \cdot 22753^{\frac{1}{4}} \sqrt{217 \, \sqrt{22753} + 45506} \arctan\left(-\frac{1356417723145733248 \, \sqrt{22753} \sqrt{3} {\left(563469550783693848576 \, x^{16} + 1878231835945646161920 \, x^{15} + 2271068175922858819584 \, x^{14} + 917515317092920197120 \, x^{13} - 397395114882246070272 \, x^{12} - 488448194480130631680 \, x^{11} - 102981130930246908672 \, x^{10} + 50677635024881913600 \, x^{9} + 28077563371310921808 \, x^{8} + 1905299283994534680 \, x^{7} - 1783382469000052525 \, x^{6} - 491153348417493500 \, x^{5} - 13212596524478125 \, x^{4} + 14755129740318750 \, x^{3} + 2937991251937500 \, x^{2} + 238996760625000 \, x + 7491487500000\right)} - 15396409028 \, \sqrt{12 \, x^{2} + 5 \, x - 3} {\left(8 \cdot 22753^{\frac{3}{4}} {\left(1457154908615709265231872 \, x^{15} + 4553609089424091453849600 \, x^{14} + 5102105388283684293083136 \, x^{13} + 1828085567296311560540160 \, x^{12} - 863574952880865256243200 \, x^{11} - 890603170338272292000000 \, x^{10} - 149235373578134499034752 \, x^{9} + 85268363246378743209840 \, x^{8} + 37350229493890469150352 \, x^{7} + 1124904436500694490805 \, x^{6} - 2071578487513731147075 \, x^{5} - 408393684914052252500 \, x^{4} + 5113941819580075000 \, x^{3} + 10286357222320650000 \, x^{2} - \sqrt{22753} {\left(14563504231703447076864 \, x^{15} + 45510950724073272115200 \, x^{14} + 49683213355961339707392 \, x^{13} + 14723734207966250987520 \, x^{12} - 11905446987615605391360 \, x^{11} - 9631257905511143827200 \, x^{10} - 827225088416529429888 \, x^{9} + 1284470756168556018960 \, x^{8} + 413130382691111915760 \, x^{7} - 26586072949565917725 \, x^{6} - 33494258600700079125 \, x^{5} - 4651259921729237500 \, x^{4} + 503162532696125000 \, x^{3} + 208409843265750000 \, x^{2} + 22116943248750000 \, x + 829771425000000\right)} + 1240755306257250000 \, x + 49031857035000000\right)} + 22753^{\frac{1}{4}} {\left(226000863457782769580507136 \, x^{15} + 706252698305571154939084800 \, x^{14} + 882047337231387757676101632 \, x^{13} + 529242917217908536430161920 \, x^{12} + 103872284956367546157232128 \, x^{11} - 62388940077891611478455040 \, x^{10} - 49563221657203570994499456 \, x^{9} - 12730595895167988050106480 \, x^{8} + 554064252652090432756800 \, x^{7} + 1256928245962551637657875 \, x^{6} + 328688538932058376022500 \, x^{5} + 19963652581720216112500 \, x^{4} - 8191711857965818500000 \, x^{3} - 2179114600304958750000 \, x^{2} - \sqrt{22753} {\left(2044285859425092346183680 \, x^{15} + 6388393310703413581824000 \, x^{14} + 7841025005927637045473280 \, x^{13} + 4414819134282875911756800 \, x^{12} + 538457555843790977376000 \, x^{11} - 772314613728660371160000 \, x^{10} - 481967552475778726993968 \, x^{9} - 92655853015809690644940 \, x^{8} + 21161605556499146054775 \, x^{7} + 15688561753406924179875 \, x^{6} + 3172766952980954255000 \, x^{5} - 45012653614268537500 \, x^{4} - 151679297354024250000 \, x^{3} - 32137635197688750000 \, x^{2} - 3042642600900000000 \, x - 114444059625000000\right)} - 221682523937175000000 \, x - 8642024551125000000\right)}\right)} \sqrt{217 \, \sqrt{22753} + 45506} - 2 \, \sqrt{\frac{159271}{3}} {\left(27134681728 \, \sqrt{22753} \sqrt{3} {\left(139120804771135488 \, x^{16} + 405769013915811840 \, x^{15} + 493567913495494656 \, x^{14} + 318121662053744640 \, x^{13} + 100642264749831168 \, x^{12} - 5111950591238400 \, x^{11} - 19657015863638400 \, x^{10} - 8715811943124000 \, x^{9} - 1630769907877500 \, x^{8} + 113368251221875 \, x^{7} + 149750549812500 \, x^{6} + 41899409296875 \, x^{5} + 6333082031250 \, x^{4} + 527132812500 \, x^{3} + 18984375000 \, x^{2}\right)} - 2 \, \sqrt{12 \, x^{2} + 5 \, x - 3} {\left(16 \cdot 22753^{\frac{3}{4}} {\left(1543841518716120268800000 \, x^{15} + 4181237446522825728000000 \, x^{14} + 3860978610751616533929984 \, x^{13} + 863073914960113756922880 \, x^{12} - 779224547194529048780544 \, x^{11} - 505412564215843004123520 \, x^{10} - 44629598827645171524288 \, x^{9} + 45140229707428827590580 \, x^{8} + 15007263884546349529425 \, x^{7} + 589773342093770225625 \, x^{6} - 556680655243090300000 \, x^{5} - 128109070123096725000 \, x^{4} - 11749611649025250000 \, x^{3} - 410825582133750000 \, x^{2} - \sqrt{22753} {\left(21276027658098433327104 \, x^{15} + 57622574907349923594240 \, x^{14} + 53119535706899223404544 \, x^{13} + 11689157526079963438080 \, x^{12} - 10919222381610157605120 \, x^{11} - 7036738795771404969600 \, x^{10} - 621131294598173087040 \, x^{9} + 627911643717314973900 \, x^{8} + 209401976660299863375 \, x^{7} + 8625388473062034375 \, x^{6} - 7622651689386500000 \, x^{5} - 1763320756084875000 \, x^{4} - 161896223238750000 \, x^{3} - 5660707106250000 \, x^{2}\right)}\right)} + 22753^{\frac{1}{4}} {\left(509656134754982980140171264 \, x^{15} + 1380318698294745571212963840 \, x^{14} + 1486487472085635931644235776 \, x^{13} + 770508498313922398326616320 \, x^{12} + 124963098981444337336115328 \, x^{11} - 82495543495022435187923760 \, x^{10} - 58955528599267342238258400 \, x^{9} - 15477767595243310670483625 \, x^{8} - 532651343778452286667500 \, x^{7} + 892245329348370198662500 \, x^{6} + 298063292793256165500000 \, x^{5} + 47370119073953276250000 \, x^{4} + 3944120990334525000000 \, x^{3} + 137906328333375000000 \, x^{2} - \sqrt{22753} {\left(5837765559213345945255936 \, x^{15} + 15810615056202811935068160 \, x^{14} + 17009049955286781216534528 \, x^{13} + 8785189894367114717448960 \, x^{12} + 1388383215845925452160384 \, x^{11} - 972840468206549851019280 \, x^{10} - 687499322224809431095200 \, x^{9} - 181009235153441909725875 \, x^{8} - 6892716223097226502500 \, x^{7} + 10106730756524363487500 \, x^{6} + 3404105226535396500000 \, x^{5} + 542149149604578750000 \, x^{4} + 45171650098575000000 \, x^{3} + 1579428325125000000 \, x^{2}\right)}\right)}\right)} \sqrt{217 \, \sqrt{22753} + 45506} - 2753113 \, \sqrt{3} {\left(769218282044368679190528 \, x^{16} + 2243553322629408647639040 \, x^{15} + 2722019619733995420822528 \, x^{14} + 1741473842011670423704320 \, x^{13} + 535691716482687615998784 \, x^{12} - 43747987364926664929200 \, x^{11} - 116676997755758617916700 \, x^{10} - 51170731794120633771375 \, x^{9} - 9829950857470192751250 \, x^{8} + 466218706688512212500 \, x^{7} + 805909745662305375000 \, x^{6} + 229732359820908750000 \, x^{5} + 34928426088562500000 \, x^{4} + 2913509442375000000 \, x^{3} + 104928311250000000 \, x^{2}\right)} + 968 \, \sqrt{22753} {\left(11 \, \sqrt{22753} \sqrt{3} {\left(11133280894478707851264 \, x^{16} + 32472069275562897899520 \, x^{15} + 34961846584368741912576 \, x^{14} + 14116960109825036605440 \, x^{13} - 2578559534967289865472 \, x^{12} - 4511715066433937606400 \, x^{11} - 1398435875141700988944 \, x^{10} + 107026713984510716760 \, x^{9} + 180393314877965661225 \, x^{8} + 42277231451151825375 \, x^{7} - 570863512141243750 \, x^{6} - 2156985962491425000 \, x^{5} - 452241585490500000 \, x^{4} - 41499802811250000 \, x^{3} - 1494590737500000 \, x^{2}\right)} - 159271 \, \sqrt{3} {\left(837463052302553972736 \, x^{16} + 2442600569215782420480 \, x^{15} + 2614273634565545472000 \, x^{14} + 1022870301725465856000 \, x^{13} - 233881116511753062144 \, x^{12} - 360426948847640812800 \, x^{11} - 110377763294502560688 \, x^{10} + 8394027644330120520 \, x^{9} + 14260646520179433075 \, x^{8} + 3417531763495585125 \, x^{7} - 307353208581250 \, x^{6} - 158065693208475000 \, x^{5} - 33827508643500000 \, x^{4} - 3119304903750000 \, x^{3} - 112339912500000 \, x^{2}\right)}\right)}\right)} \sqrt{\frac{25633948819248 \, x^{4} + 21361624016040 \, x^{3} - 2 \cdot 22753^{\frac{1}{4}} {\left(\sqrt{22753} \sqrt{3} {\left(2543904 \, x^{3} + 1589940 \, x^{2} - 1591391 \, x - 377545\right)} - 22753 \, \sqrt{3} {\left(69696 \, x^{3} + 43560 \, x^{2} - 15430 \, x - 4475\right)}\right)} \sqrt{12 \, x^{2} + 5 \, x - 3} \sqrt{217 \, \sqrt{22753} + 45506} - 7981387464633 \, x^{2} + 33037356 \, \sqrt{22753} {\left(6912 \, x^{4} + 5760 \, x^{3} - 228 \, x^{2} - 595 \, x - 75\right)} - 5179885750545 \, x + 1741704630303}{x^{4}}} - 1513859066010863 \, \sqrt{3} {\left(13576751558109854315642880 \, x^{16} + 45255838527032847718809600 \, x^{15} + 56292025222029827201384448 \, x^{14} + 26689036372747614913904640 \, x^{13} - 4717355119347430651415040 \, x^{12} - 9964876712917755398169600 \, x^{11} - 3004327514898423306684864 \, x^{10} + 551351931987193055323200 \, x^{9} + 502630856461513673065557 \, x^{8} + 72376829421365242444470 \, x^{7} - 18222237302931806775100 \, x^{6} - 7057276971466800749000 \, x^{5} - 514495325192847850000 \, x^{4} + 108121429522446900000 \, x^{3} + 23467018179339000000 \, x^{2} + 1564662500730000000 \, x + 29246767200000000\right)} + 3725930984776 \, \sqrt{22753} {\left(\sqrt{22753} \sqrt{3} {\left(217802415187974448742400 \, x^{16} + 726008050626581495808000 \, x^{15} + 942100751373820723445760 \, x^{14} + 542040232138022912716800 \, x^{13} + 42536156642286573911040 \, x^{12} - 121361620564714749062400 \, x^{11} - 66346494096878268617664 \, x^{10} - 8423828365205592586800 \, x^{9} + 4938327917753662627236 \, x^{8} + 2356458373231956745185 \, x^{7} + 307300339956542180475 \, x^{6} - 53544679061058547750 \, x^{5} - 25131460994000275000 \, x^{4} - 3657330255837300000 \, x^{3} - 206334278174250000 \, x^{2} + 2324736382500000 \, x + 522263700000000\right)} - 22753 \, \sqrt{3} {\left(3686750823320524947456 \, x^{16} + 12289169411068416491520 \, x^{15} + 15098097987625062187008 \, x^{14} + 6699232899028429885440 \, x^{13} - 1933672081302751841280 \, x^{12} - 3100521086130742675200 \, x^{11} - 894636158071089054528 \, x^{10} + 219693320035867436400 \, x^{9} + 195902528934273209964 \, x^{8} + 32158375953240369315 \, x^{7} - 8982246266755377975 \, x^{6} - 4350253576672402250 \, x^{5} - 439537219633475000 \, x^{4} + 92790568452300000 \, x^{3} + 29873937449250000 \, x^{2} + 3122149117500000 \, x + 119863800000000\right)}\right)}}{59040503574423657 \, {\left(3273904261412608177668096 \, x^{16} + 10913014204708693925560320 \, x^{15} + 13145192753445784215797760 \, x^{14} + 5184286401994276237516800 \, x^{13} - 2470469615059733328056832 \, x^{12} - 2910634018693345878382080 \, x^{11} - 595321320958698206129472 \, x^{10} + 310935095761947268053600 \, x^{9} + 169217713571892642030717 \, x^{8} + 11320598297034116794320 \, x^{7} - 10774586517248316715600 \, x^{6} - 2972577173373156744000 \, x^{5} - 85333313258014100000 \, x^{4} + 87760768027346400000 \, x^{3} + 17605709885484000000 \, x^{2} + 1439011964880000000 \, x + 45347015700000000\right)}}\right) + \frac{1}{651} \, \sqrt{217} \log\left(\frac{16112016 \, x^{4} + 13426680 \, x^{3} - 4 \, \sqrt{217} {\left(76320 \, x^{3} + 47700 \, x^{2} - 8399 \, x - 3130\right)} \sqrt{12 \, x^{2} + 5 \, x - 3} - 2423639 \, x^{2} - 2175360 \, x + 326776}{144 \, x^{4} + 120 \, x^{3} - 71 \, x^{2} - 40 \, x + 16}\right) + \frac{2}{651} \, \sqrt{217} \log\left(\frac{288 \, x^{2} + \sqrt{217} {\left(24 \, x + 5\right)} + 120 \, x + 121}{12 \, x^{2} + 5 \, x - 4}\right) - x"," ",0,"-1/24778017*22753^(1/4)*(2*sqrt(22753)*sqrt(3) - 217*sqrt(3))*sqrt(217*sqrt(22753) + 45506)*log(19084456267776*x^2 + 1456192/363*22753^(1/4)*(73*sqrt(22753)*sqrt(3)*(24*x + 5) + 22753*sqrt(3)*(24*x + 5))*sqrt(217*sqrt(22753) + 45506) + 7951856778240*x + 33132736576*sqrt(22753) + 828318414400) + 1/24778017*22753^(1/4)*(2*sqrt(22753)*sqrt(3) - 217*sqrt(3))*sqrt(217*sqrt(22753) + 45506)*log(19084456267776*x^2 - 1456192/363*22753^(1/4)*(73*sqrt(22753)*sqrt(3)*(24*x + 5) + 22753*sqrt(3)*(24*x + 5))*sqrt(217*sqrt(22753) + 45506) + 7951856778240*x + 33132736576*sqrt(22753) + 828318414400) + 1/49556034*22753^(1/4)*(2*sqrt(22753)*sqrt(3) - 217*sqrt(3))*sqrt(217*sqrt(22753) + 45506)*log(2548336/363*(25633948819248*x^4 + 21361624016040*x^3 + 2*22753^(1/4)*(sqrt(22753)*sqrt(3)*(2543904*x^3 + 1589940*x^2 - 1591391*x - 377545) - 22753*sqrt(3)*(69696*x^3 + 43560*x^2 - 15430*x - 4475))*sqrt(12*x^2 + 5*x - 3)*sqrt(217*sqrt(22753) + 45506) - 7981387464633*x^2 + 33037356*sqrt(22753)*(6912*x^4 + 5760*x^3 - 228*x^2 - 595*x - 75) - 5179885750545*x + 1741704630303)/x^4) - 1/49556034*22753^(1/4)*(2*sqrt(22753)*sqrt(3) - 217*sqrt(3))*sqrt(217*sqrt(22753) + 45506)*log(2548336/363*(25633948819248*x^4 + 21361624016040*x^3 - 2*22753^(1/4)*(sqrt(22753)*sqrt(3)*(2543904*x^3 + 1589940*x^2 - 1591391*x - 377545) - 22753*sqrt(3)*(69696*x^3 + 43560*x^2 - 15430*x - 4475))*sqrt(12*x^2 + 5*x - 3)*sqrt(217*sqrt(22753) + 45506) - 7981387464633*x^2 + 33037356*sqrt(22753)*(6912*x^4 + 5760*x^3 - 228*x^2 - 595*x - 75) - 5179885750545*x + 1741704630303)/x^4) - 4/68259*22753^(1/4)*sqrt(217*sqrt(22753) + 45506)*arctan(-1/198224136*22753^(3/4)*(sqrt(22753)*(24*x + 5) + 1752*x + 365)*sqrt(217*sqrt(22753) + 45506) + 1/6541396488*22753^(1/4)*sqrt(4757379264*x^2 + 22753^(1/4)*(73*sqrt(22753)*sqrt(3)*(24*x + 5) + 22753*sqrt(3)*(24*x + 5))*sqrt(217*sqrt(22753) + 45506) + 1982241360*x + 8259339*sqrt(22753) + 206483475)*(sqrt(22753)*sqrt(3) + 73*sqrt(3))*sqrt(217*sqrt(22753) + 45506) - 1/72*sqrt(22753)*sqrt(3) - 145/72*sqrt(3)) - 4/68259*22753^(1/4)*sqrt(217*sqrt(22753) + 45506)*arctan(-1/198224136*22753^(3/4)*(sqrt(22753)*(24*x + 5) + 1752*x + 365)*sqrt(217*sqrt(22753) + 45506) + 1/6541396488*22753^(1/4)*sqrt(4757379264*x^2 - 22753^(1/4)*(73*sqrt(22753)*sqrt(3)*(24*x + 5) + 22753*sqrt(3)*(24*x + 5))*sqrt(217*sqrt(22753) + 45506) + 1982241360*x + 8259339*sqrt(22753) + 206483475)*(sqrt(22753)*sqrt(3) + 73*sqrt(3))*sqrt(217*sqrt(22753) + 45506) + 1/72*sqrt(22753)*sqrt(3) + 145/72*sqrt(3)) - 2/68259*22753^(1/4)*sqrt(217*sqrt(22753) + 45506)*arctan(1/59040503574423657*(1356417723145733248*sqrt(22753)*sqrt(3)*(563469550783693848576*x^16 + 1878231835945646161920*x^15 + 2271068175922858819584*x^14 + 917515317092920197120*x^13 - 397395114882246070272*x^12 - 488448194480130631680*x^11 - 102981130930246908672*x^10 + 50677635024881913600*x^9 + 28077563371310921808*x^8 + 1905299283994534680*x^7 - 1783382469000052525*x^6 - 491153348417493500*x^5 - 13212596524478125*x^4 + 14755129740318750*x^3 + 2937991251937500*x^2 + 238996760625000*x + 7491487500000) + 15396409028*sqrt(12*x^2 + 5*x - 3)*(8*22753^(3/4)*(1457154908615709265231872*x^15 + 4553609089424091453849600*x^14 + 5102105388283684293083136*x^13 + 1828085567296311560540160*x^12 - 863574952880865256243200*x^11 - 890603170338272292000000*x^10 - 149235373578134499034752*x^9 + 85268363246378743209840*x^8 + 37350229493890469150352*x^7 + 1124904436500694490805*x^6 - 2071578487513731147075*x^5 - 408393684914052252500*x^4 + 5113941819580075000*x^3 + 10286357222320650000*x^2 - sqrt(22753)*(14563504231703447076864*x^15 + 45510950724073272115200*x^14 + 49683213355961339707392*x^13 + 14723734207966250987520*x^12 - 11905446987615605391360*x^11 - 9631257905511143827200*x^10 - 827225088416529429888*x^9 + 1284470756168556018960*x^8 + 413130382691111915760*x^7 - 26586072949565917725*x^6 - 33494258600700079125*x^5 - 4651259921729237500*x^4 + 503162532696125000*x^3 + 208409843265750000*x^2 + 22116943248750000*x + 829771425000000) + 1240755306257250000*x + 49031857035000000) + 22753^(1/4)*(226000863457782769580507136*x^15 + 706252698305571154939084800*x^14 + 882047337231387757676101632*x^13 + 529242917217908536430161920*x^12 + 103872284956367546157232128*x^11 - 62388940077891611478455040*x^10 - 49563221657203570994499456*x^9 - 12730595895167988050106480*x^8 + 554064252652090432756800*x^7 + 1256928245962551637657875*x^6 + 328688538932058376022500*x^5 + 19963652581720216112500*x^4 - 8191711857965818500000*x^3 - 2179114600304958750000*x^2 - sqrt(22753)*(2044285859425092346183680*x^15 + 6388393310703413581824000*x^14 + 7841025005927637045473280*x^13 + 4414819134282875911756800*x^12 + 538457555843790977376000*x^11 - 772314613728660371160000*x^10 - 481967552475778726993968*x^9 - 92655853015809690644940*x^8 + 21161605556499146054775*x^7 + 15688561753406924179875*x^6 + 3172766952980954255000*x^5 - 45012653614268537500*x^4 - 151679297354024250000*x^3 - 32137635197688750000*x^2 - 3042642600900000000*x - 114444059625000000) - 221682523937175000000*x - 8642024551125000000))*sqrt(217*sqrt(22753) + 45506) - 2*sqrt(159271/3)*(27134681728*sqrt(22753)*sqrt(3)*(139120804771135488*x^16 + 405769013915811840*x^15 + 493567913495494656*x^14 + 318121662053744640*x^13 + 100642264749831168*x^12 - 5111950591238400*x^11 - 19657015863638400*x^10 - 8715811943124000*x^9 - 1630769907877500*x^8 + 113368251221875*x^7 + 149750549812500*x^6 + 41899409296875*x^5 + 6333082031250*x^4 + 527132812500*x^3 + 18984375000*x^2) + 2*sqrt(12*x^2 + 5*x - 3)*(16*22753^(3/4)*(1543841518716120268800000*x^15 + 4181237446522825728000000*x^14 + 3860978610751616533929984*x^13 + 863073914960113756922880*x^12 - 779224547194529048780544*x^11 - 505412564215843004123520*x^10 - 44629598827645171524288*x^9 + 45140229707428827590580*x^8 + 15007263884546349529425*x^7 + 589773342093770225625*x^6 - 556680655243090300000*x^5 - 128109070123096725000*x^4 - 11749611649025250000*x^3 - 410825582133750000*x^2 - sqrt(22753)*(21276027658098433327104*x^15 + 57622574907349923594240*x^14 + 53119535706899223404544*x^13 + 11689157526079963438080*x^12 - 10919222381610157605120*x^11 - 7036738795771404969600*x^10 - 621131294598173087040*x^9 + 627911643717314973900*x^8 + 209401976660299863375*x^7 + 8625388473062034375*x^6 - 7622651689386500000*x^5 - 1763320756084875000*x^4 - 161896223238750000*x^3 - 5660707106250000*x^2)) + 22753^(1/4)*(509656134754982980140171264*x^15 + 1380318698294745571212963840*x^14 + 1486487472085635931644235776*x^13 + 770508498313922398326616320*x^12 + 124963098981444337336115328*x^11 - 82495543495022435187923760*x^10 - 58955528599267342238258400*x^9 - 15477767595243310670483625*x^8 - 532651343778452286667500*x^7 + 892245329348370198662500*x^6 + 298063292793256165500000*x^5 + 47370119073953276250000*x^4 + 3944120990334525000000*x^3 + 137906328333375000000*x^2 - sqrt(22753)*(5837765559213345945255936*x^15 + 15810615056202811935068160*x^14 + 17009049955286781216534528*x^13 + 8785189894367114717448960*x^12 + 1388383215845925452160384*x^11 - 972840468206549851019280*x^10 - 687499322224809431095200*x^9 - 181009235153441909725875*x^8 - 6892716223097226502500*x^7 + 10106730756524363487500*x^6 + 3404105226535396500000*x^5 + 542149149604578750000*x^4 + 45171650098575000000*x^3 + 1579428325125000000*x^2)))*sqrt(217*sqrt(22753) + 45506) - 2753113*sqrt(3)*(769218282044368679190528*x^16 + 2243553322629408647639040*x^15 + 2722019619733995420822528*x^14 + 1741473842011670423704320*x^13 + 535691716482687615998784*x^12 - 43747987364926664929200*x^11 - 116676997755758617916700*x^10 - 51170731794120633771375*x^9 - 9829950857470192751250*x^8 + 466218706688512212500*x^7 + 805909745662305375000*x^6 + 229732359820908750000*x^5 + 34928426088562500000*x^4 + 2913509442375000000*x^3 + 104928311250000000*x^2) + 968*sqrt(22753)*(11*sqrt(22753)*sqrt(3)*(11133280894478707851264*x^16 + 32472069275562897899520*x^15 + 34961846584368741912576*x^14 + 14116960109825036605440*x^13 - 2578559534967289865472*x^12 - 4511715066433937606400*x^11 - 1398435875141700988944*x^10 + 107026713984510716760*x^9 + 180393314877965661225*x^8 + 42277231451151825375*x^7 - 570863512141243750*x^6 - 2156985962491425000*x^5 - 452241585490500000*x^4 - 41499802811250000*x^3 - 1494590737500000*x^2) - 159271*sqrt(3)*(837463052302553972736*x^16 + 2442600569215782420480*x^15 + 2614273634565545472000*x^14 + 1022870301725465856000*x^13 - 233881116511753062144*x^12 - 360426948847640812800*x^11 - 110377763294502560688*x^10 + 8394027644330120520*x^9 + 14260646520179433075*x^8 + 3417531763495585125*x^7 - 307353208581250*x^6 - 158065693208475000*x^5 - 33827508643500000*x^4 - 3119304903750000*x^3 - 112339912500000*x^2)))*sqrt((25633948819248*x^4 + 21361624016040*x^3 + 2*22753^(1/4)*(sqrt(22753)*sqrt(3)*(2543904*x^3 + 1589940*x^2 - 1591391*x - 377545) - 22753*sqrt(3)*(69696*x^3 + 43560*x^2 - 15430*x - 4475))*sqrt(12*x^2 + 5*x - 3)*sqrt(217*sqrt(22753) + 45506) - 7981387464633*x^2 + 33037356*sqrt(22753)*(6912*x^4 + 5760*x^3 - 228*x^2 - 595*x - 75) - 5179885750545*x + 1741704630303)/x^4) - 1513859066010863*sqrt(3)*(13576751558109854315642880*x^16 + 45255838527032847718809600*x^15 + 56292025222029827201384448*x^14 + 26689036372747614913904640*x^13 - 4717355119347430651415040*x^12 - 9964876712917755398169600*x^11 - 3004327514898423306684864*x^10 + 551351931987193055323200*x^9 + 502630856461513673065557*x^8 + 72376829421365242444470*x^7 - 18222237302931806775100*x^6 - 7057276971466800749000*x^5 - 514495325192847850000*x^4 + 108121429522446900000*x^3 + 23467018179339000000*x^2 + 1564662500730000000*x + 29246767200000000) + 3725930984776*sqrt(22753)*(sqrt(22753)*sqrt(3)*(217802415187974448742400*x^16 + 726008050626581495808000*x^15 + 942100751373820723445760*x^14 + 542040232138022912716800*x^13 + 42536156642286573911040*x^12 - 121361620564714749062400*x^11 - 66346494096878268617664*x^10 - 8423828365205592586800*x^9 + 4938327917753662627236*x^8 + 2356458373231956745185*x^7 + 307300339956542180475*x^6 - 53544679061058547750*x^5 - 25131460994000275000*x^4 - 3657330255837300000*x^3 - 206334278174250000*x^2 + 2324736382500000*x + 522263700000000) - 22753*sqrt(3)*(3686750823320524947456*x^16 + 12289169411068416491520*x^15 + 15098097987625062187008*x^14 + 6699232899028429885440*x^13 - 1933672081302751841280*x^12 - 3100521086130742675200*x^11 - 894636158071089054528*x^10 + 219693320035867436400*x^9 + 195902528934273209964*x^8 + 32158375953240369315*x^7 - 8982246266755377975*x^6 - 4350253576672402250*x^5 - 439537219633475000*x^4 + 92790568452300000*x^3 + 29873937449250000*x^2 + 3122149117500000*x + 119863800000000)))/(3273904261412608177668096*x^16 + 10913014204708693925560320*x^15 + 13145192753445784215797760*x^14 + 5184286401994276237516800*x^13 - 2470469615059733328056832*x^12 - 2910634018693345878382080*x^11 - 595321320958698206129472*x^10 + 310935095761947268053600*x^9 + 169217713571892642030717*x^8 + 11320598297034116794320*x^7 - 10774586517248316715600*x^6 - 2972577173373156744000*x^5 - 85333313258014100000*x^4 + 87760768027346400000*x^3 + 17605709885484000000*x^2 + 1439011964880000000*x + 45347015700000000)) - 2/68259*22753^(1/4)*sqrt(217*sqrt(22753) + 45506)*arctan(-1/59040503574423657*(1356417723145733248*sqrt(22753)*sqrt(3)*(563469550783693848576*x^16 + 1878231835945646161920*x^15 + 2271068175922858819584*x^14 + 917515317092920197120*x^13 - 397395114882246070272*x^12 - 488448194480130631680*x^11 - 102981130930246908672*x^10 + 50677635024881913600*x^9 + 28077563371310921808*x^8 + 1905299283994534680*x^7 - 1783382469000052525*x^6 - 491153348417493500*x^5 - 13212596524478125*x^4 + 14755129740318750*x^3 + 2937991251937500*x^2 + 238996760625000*x + 7491487500000) - 15396409028*sqrt(12*x^2 + 5*x - 3)*(8*22753^(3/4)*(1457154908615709265231872*x^15 + 4553609089424091453849600*x^14 + 5102105388283684293083136*x^13 + 1828085567296311560540160*x^12 - 863574952880865256243200*x^11 - 890603170338272292000000*x^10 - 149235373578134499034752*x^9 + 85268363246378743209840*x^8 + 37350229493890469150352*x^7 + 1124904436500694490805*x^6 - 2071578487513731147075*x^5 - 408393684914052252500*x^4 + 5113941819580075000*x^3 + 10286357222320650000*x^2 - sqrt(22753)*(14563504231703447076864*x^15 + 45510950724073272115200*x^14 + 49683213355961339707392*x^13 + 14723734207966250987520*x^12 - 11905446987615605391360*x^11 - 9631257905511143827200*x^10 - 827225088416529429888*x^9 + 1284470756168556018960*x^8 + 413130382691111915760*x^7 - 26586072949565917725*x^6 - 33494258600700079125*x^5 - 4651259921729237500*x^4 + 503162532696125000*x^3 + 208409843265750000*x^2 + 22116943248750000*x + 829771425000000) + 1240755306257250000*x + 49031857035000000) + 22753^(1/4)*(226000863457782769580507136*x^15 + 706252698305571154939084800*x^14 + 882047337231387757676101632*x^13 + 529242917217908536430161920*x^12 + 103872284956367546157232128*x^11 - 62388940077891611478455040*x^10 - 49563221657203570994499456*x^9 - 12730595895167988050106480*x^8 + 554064252652090432756800*x^7 + 1256928245962551637657875*x^6 + 328688538932058376022500*x^5 + 19963652581720216112500*x^4 - 8191711857965818500000*x^3 - 2179114600304958750000*x^2 - sqrt(22753)*(2044285859425092346183680*x^15 + 6388393310703413581824000*x^14 + 7841025005927637045473280*x^13 + 4414819134282875911756800*x^12 + 538457555843790977376000*x^11 - 772314613728660371160000*x^10 - 481967552475778726993968*x^9 - 92655853015809690644940*x^8 + 21161605556499146054775*x^7 + 15688561753406924179875*x^6 + 3172766952980954255000*x^5 - 45012653614268537500*x^4 - 151679297354024250000*x^3 - 32137635197688750000*x^2 - 3042642600900000000*x - 114444059625000000) - 221682523937175000000*x - 8642024551125000000))*sqrt(217*sqrt(22753) + 45506) - 2*sqrt(159271/3)*(27134681728*sqrt(22753)*sqrt(3)*(139120804771135488*x^16 + 405769013915811840*x^15 + 493567913495494656*x^14 + 318121662053744640*x^13 + 100642264749831168*x^12 - 5111950591238400*x^11 - 19657015863638400*x^10 - 8715811943124000*x^9 - 1630769907877500*x^8 + 113368251221875*x^7 + 149750549812500*x^6 + 41899409296875*x^5 + 6333082031250*x^4 + 527132812500*x^3 + 18984375000*x^2) - 2*sqrt(12*x^2 + 5*x - 3)*(16*22753^(3/4)*(1543841518716120268800000*x^15 + 4181237446522825728000000*x^14 + 3860978610751616533929984*x^13 + 863073914960113756922880*x^12 - 779224547194529048780544*x^11 - 505412564215843004123520*x^10 - 44629598827645171524288*x^9 + 45140229707428827590580*x^8 + 15007263884546349529425*x^7 + 589773342093770225625*x^6 - 556680655243090300000*x^5 - 128109070123096725000*x^4 - 11749611649025250000*x^3 - 410825582133750000*x^2 - sqrt(22753)*(21276027658098433327104*x^15 + 57622574907349923594240*x^14 + 53119535706899223404544*x^13 + 11689157526079963438080*x^12 - 10919222381610157605120*x^11 - 7036738795771404969600*x^10 - 621131294598173087040*x^9 + 627911643717314973900*x^8 + 209401976660299863375*x^7 + 8625388473062034375*x^6 - 7622651689386500000*x^5 - 1763320756084875000*x^4 - 161896223238750000*x^3 - 5660707106250000*x^2)) + 22753^(1/4)*(509656134754982980140171264*x^15 + 1380318698294745571212963840*x^14 + 1486487472085635931644235776*x^13 + 770508498313922398326616320*x^12 + 124963098981444337336115328*x^11 - 82495543495022435187923760*x^10 - 58955528599267342238258400*x^9 - 15477767595243310670483625*x^8 - 532651343778452286667500*x^7 + 892245329348370198662500*x^6 + 298063292793256165500000*x^5 + 47370119073953276250000*x^4 + 3944120990334525000000*x^3 + 137906328333375000000*x^2 - sqrt(22753)*(5837765559213345945255936*x^15 + 15810615056202811935068160*x^14 + 17009049955286781216534528*x^13 + 8785189894367114717448960*x^12 + 1388383215845925452160384*x^11 - 972840468206549851019280*x^10 - 687499322224809431095200*x^9 - 181009235153441909725875*x^8 - 6892716223097226502500*x^7 + 10106730756524363487500*x^6 + 3404105226535396500000*x^5 + 542149149604578750000*x^4 + 45171650098575000000*x^3 + 1579428325125000000*x^2)))*sqrt(217*sqrt(22753) + 45506) - 2753113*sqrt(3)*(769218282044368679190528*x^16 + 2243553322629408647639040*x^15 + 2722019619733995420822528*x^14 + 1741473842011670423704320*x^13 + 535691716482687615998784*x^12 - 43747987364926664929200*x^11 - 116676997755758617916700*x^10 - 51170731794120633771375*x^9 - 9829950857470192751250*x^8 + 466218706688512212500*x^7 + 805909745662305375000*x^6 + 229732359820908750000*x^5 + 34928426088562500000*x^4 + 2913509442375000000*x^3 + 104928311250000000*x^2) + 968*sqrt(22753)*(11*sqrt(22753)*sqrt(3)*(11133280894478707851264*x^16 + 32472069275562897899520*x^15 + 34961846584368741912576*x^14 + 14116960109825036605440*x^13 - 2578559534967289865472*x^12 - 4511715066433937606400*x^11 - 1398435875141700988944*x^10 + 107026713984510716760*x^9 + 180393314877965661225*x^8 + 42277231451151825375*x^7 - 570863512141243750*x^6 - 2156985962491425000*x^5 - 452241585490500000*x^4 - 41499802811250000*x^3 - 1494590737500000*x^2) - 159271*sqrt(3)*(837463052302553972736*x^16 + 2442600569215782420480*x^15 + 2614273634565545472000*x^14 + 1022870301725465856000*x^13 - 233881116511753062144*x^12 - 360426948847640812800*x^11 - 110377763294502560688*x^10 + 8394027644330120520*x^9 + 14260646520179433075*x^8 + 3417531763495585125*x^7 - 307353208581250*x^6 - 158065693208475000*x^5 - 33827508643500000*x^4 - 3119304903750000*x^3 - 112339912500000*x^2)))*sqrt((25633948819248*x^4 + 21361624016040*x^3 - 2*22753^(1/4)*(sqrt(22753)*sqrt(3)*(2543904*x^3 + 1589940*x^2 - 1591391*x - 377545) - 22753*sqrt(3)*(69696*x^3 + 43560*x^2 - 15430*x - 4475))*sqrt(12*x^2 + 5*x - 3)*sqrt(217*sqrt(22753) + 45506) - 7981387464633*x^2 + 33037356*sqrt(22753)*(6912*x^4 + 5760*x^3 - 228*x^2 - 595*x - 75) - 5179885750545*x + 1741704630303)/x^4) - 1513859066010863*sqrt(3)*(13576751558109854315642880*x^16 + 45255838527032847718809600*x^15 + 56292025222029827201384448*x^14 + 26689036372747614913904640*x^13 - 4717355119347430651415040*x^12 - 9964876712917755398169600*x^11 - 3004327514898423306684864*x^10 + 551351931987193055323200*x^9 + 502630856461513673065557*x^8 + 72376829421365242444470*x^7 - 18222237302931806775100*x^6 - 7057276971466800749000*x^5 - 514495325192847850000*x^4 + 108121429522446900000*x^3 + 23467018179339000000*x^2 + 1564662500730000000*x + 29246767200000000) + 3725930984776*sqrt(22753)*(sqrt(22753)*sqrt(3)*(217802415187974448742400*x^16 + 726008050626581495808000*x^15 + 942100751373820723445760*x^14 + 542040232138022912716800*x^13 + 42536156642286573911040*x^12 - 121361620564714749062400*x^11 - 66346494096878268617664*x^10 - 8423828365205592586800*x^9 + 4938327917753662627236*x^8 + 2356458373231956745185*x^7 + 307300339956542180475*x^6 - 53544679061058547750*x^5 - 25131460994000275000*x^4 - 3657330255837300000*x^3 - 206334278174250000*x^2 + 2324736382500000*x + 522263700000000) - 22753*sqrt(3)*(3686750823320524947456*x^16 + 12289169411068416491520*x^15 + 15098097987625062187008*x^14 + 6699232899028429885440*x^13 - 1933672081302751841280*x^12 - 3100521086130742675200*x^11 - 894636158071089054528*x^10 + 219693320035867436400*x^9 + 195902528934273209964*x^8 + 32158375953240369315*x^7 - 8982246266755377975*x^6 - 4350253576672402250*x^5 - 439537219633475000*x^4 + 92790568452300000*x^3 + 29873937449250000*x^2 + 3122149117500000*x + 119863800000000)))/(3273904261412608177668096*x^16 + 10913014204708693925560320*x^15 + 13145192753445784215797760*x^14 + 5184286401994276237516800*x^13 - 2470469615059733328056832*x^12 - 2910634018693345878382080*x^11 - 595321320958698206129472*x^10 + 310935095761947268053600*x^9 + 169217713571892642030717*x^8 + 11320598297034116794320*x^7 - 10774586517248316715600*x^6 - 2972577173373156744000*x^5 - 85333313258014100000*x^4 + 87760768027346400000*x^3 + 17605709885484000000*x^2 + 1439011964880000000*x + 45347015700000000)) + 1/651*sqrt(217)*log((16112016*x^4 + 13426680*x^3 - 4*sqrt(217)*(76320*x^3 + 47700*x^2 - 8399*x - 3130)*sqrt(12*x^2 + 5*x - 3) - 2423639*x^2 - 2175360*x + 326776)/(144*x^4 + 120*x^3 - 71*x^2 - 40*x + 16)) + 2/651*sqrt(217)*log((288*x^2 + sqrt(217)*(24*x + 5) + 120*x + 121)/(12*x^2 + 5*x - 4)) - x","B",0
2634,1,438,0,0.699560," ","integrate(1/(a^2*x^2-b*x)^(3/2)/(a*x^2+x*(a^2*x^2-b*x)^(1/2))^(3/2),x, algorithm=""fricas"")","\left[\frac{3465 \, {\left(a^{7} x^{5} - a^{5} b x^{4}\right)} \sqrt{a} \log\left(\frac{a^{2} x^{2} + 2 \, \sqrt{a^{2} x^{2} - b x} a x - b x + 2 \, \sqrt{a^{2} x^{2} - b x} \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x} \sqrt{a}}{a^{2} x^{2} - b x}\right) - 2 \, {\left(5066 \, a^{7} x^{4} - 4144 \, a^{5} b x^{3} - 432 \, a^{3} b^{2} x^{2} - 490 \, a b^{3} x + {\left(1601 \, a^{6} x^{3} - 456 \, a^{4} b x^{2} - 200 \, a^{2} b^{2} x + 210 \, b^{3}\right)} \sqrt{a^{2} x^{2} - b x}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x}}{1155 \, {\left(a^{2} b^{5} x^{5} - b^{6} x^{4}\right)}}, -\frac{2 \, {\left(3465 \, {\left(a^{7} x^{5} - a^{5} b x^{4}\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x} \sqrt{-a}}{a x}\right) + {\left(5066 \, a^{7} x^{4} - 4144 \, a^{5} b x^{3} - 432 \, a^{3} b^{2} x^{2} - 490 \, a b^{3} x + {\left(1601 \, a^{6} x^{3} - 456 \, a^{4} b x^{2} - 200 \, a^{2} b^{2} x + 210 \, b^{3}\right)} \sqrt{a^{2} x^{2} - b x}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x}\right)}}{1155 \, {\left(a^{2} b^{5} x^{5} - b^{6} x^{4}\right)}}\right]"," ",0,"[1/1155*(3465*(a^7*x^5 - a^5*b*x^4)*sqrt(a)*log((a^2*x^2 + 2*sqrt(a^2*x^2 - b*x)*a*x - b*x + 2*sqrt(a^2*x^2 - b*x)*sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x)*sqrt(a))/(a^2*x^2 - b*x)) - 2*(5066*a^7*x^4 - 4144*a^5*b*x^3 - 432*a^3*b^2*x^2 - 490*a*b^3*x + (1601*a^6*x^3 - 456*a^4*b*x^2 - 200*a^2*b^2*x + 210*b^3)*sqrt(a^2*x^2 - b*x))*sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x))/(a^2*b^5*x^5 - b^6*x^4), -2/1155*(3465*(a^7*x^5 - a^5*b*x^4)*sqrt(-a)*arctan(sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x)*sqrt(-a)/(a*x)) + (5066*a^7*x^4 - 4144*a^5*b*x^3 - 432*a^3*b^2*x^2 - 490*a*b^3*x + (1601*a^6*x^3 - 456*a^4*b*x^2 - 200*a^2*b^2*x + 210*b^3)*sqrt(a^2*x^2 - b*x))*sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x))/(a^2*b^5*x^5 - b^6*x^4)]","A",0
2635,1,1496,0,24.553624," ","integrate(1/x/((-1+x)*(-2*q*x+x^2+q))^(1/3),x, algorithm=""fricas"")","\left[\frac{\sqrt{3} q \sqrt{\frac{\left(-q\right)^{\frac{1}{3}}}{q}} \log\left(-\frac{{\left(q^{3} - 30 \, q^{2} - 51 \, q - 1\right)} x^{6} + 54 \, {\left(q^{3} + 6 \, q^{2} + 2 \, q\right)} x^{5} - 27 \, {\left(17 \, q^{3} + 26 \, q^{2} + 2 \, q\right)} x^{4} + 486 \, q^{3} x + 540 \, {\left(2 \, q^{3} + q^{2}\right)} x^{3} - 81 \, q^{3} - 135 \, {\left(8 \, q^{3} + q^{2}\right)} x^{2} + 9 \, {\left({\left(2 \, q^{2} - q - 1\right)} x^{4} - 6 \, {\left(q^{2} - q\right)} x^{3} + 3 \, {\left(q^{2} - q\right)} x^{2}\right)} {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{2}{3}} \left(-q\right)^{\frac{1}{3}} + 9 \, {\left({\left(q^{2} + 7 \, q + 1\right)} x^{5} - {\left(19 \, q^{2} + 25 \, q + 1\right)} x^{4} + 9 \, {\left(7 \, q^{2} + 3 \, q\right)} x^{3} + 45 \, q^{2} x - 9 \, {\left(9 \, q^{2} + q\right)} x^{2} - 9 \, q^{2}\right)} {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{1}{3}} \left(-q\right)^{\frac{2}{3}} + \sqrt{3} {\left(3 \, {\left({\left(4 \, q^{2} + 13 \, q + 1\right)} x^{4} - 6 \, {\left(7 \, q^{2} + 5 \, q\right)} x^{3} - 72 \, q^{2} x + 3 \, {\left(31 \, q^{2} + 5 \, q\right)} x^{2} + 18 \, q^{2}\right)} {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{2}{3}} \left(-q\right)^{\frac{2}{3}} + 3 \, {\left({\left(q^{3} - 5 \, q^{2} - 5 \, q\right)} x^{5} + 5 \, {\left(q^{3} + 7 \, q^{2} + q\right)} x^{4} - 45 \, q^{3} x - 45 \, {\left(q^{3} + q^{2}\right)} x^{3} + 9 \, q^{3} + 15 \, {\left(5 \, q^{3} + q^{2}\right)} x^{2}\right)} {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{1}{3}} + {\left({\left(q^{3} + 24 \, q^{2} + 3 \, q - 1\right)} x^{6} - 54 \, {\left(q^{3} + 2 \, q^{2}\right)} x^{5} + 81 \, {\left(3 \, q^{3} + 2 \, q^{2}\right)} x^{4} - 162 \, q^{3} x - 108 \, {\left(4 \, q^{3} + q^{2}\right)} x^{3} + 27 \, q^{3} + 27 \, {\left(14 \, q^{3} + q^{2}\right)} x^{2}\right)} \left(-q\right)^{\frac{1}{3}}\right)} \sqrt{\frac{\left(-q\right)^{\frac{1}{3}}}{q}}}{x^{6}}\right) - 2 \, \left(-q\right)^{\frac{2}{3}} \log\left(\frac{\left(-q\right)^{\frac{2}{3}} {\left(q - 1\right)} x^{2} + 3 \, {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{1}{3}} {\left(q x - q\right)} \left(-q\right)^{\frac{1}{3}} + 3 \, {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{2}{3}} q}{x^{2}}\right) + \left(-q\right)^{\frac{2}{3}} \log\left(\frac{3 \, {\left({\left(2 \, q + 1\right)} x^{2} - 6 \, q x + 3 \, q\right)} {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{2}{3}} \left(-q\right)^{\frac{2}{3}} + 3 \, {\left({\left(q^{2} + 2 \, q\right)} x^{3} + 9 \, q^{2} x - {\left(7 \, q^{2} + 2 \, q\right)} x^{2} - 3 \, q^{2}\right)} {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{1}{3}} - {\left({\left(q^{2} + 7 \, q + 1\right)} x^{4} - 18 \, {\left(q^{2} + q\right)} x^{3} - 36 \, q^{2} x + 9 \, {\left(5 \, q^{2} + q\right)} x^{2} + 9 \, q^{2}\right)} \left(-q\right)^{\frac{1}{3}}}{x^{4}}\right)}{12 \, q}, \frac{2 \, \sqrt{3} q \sqrt{-\frac{\left(-q\right)^{\frac{1}{3}}}{q}} \arctan\left(\frac{\sqrt{3} {\left(6 \, {\left({\left(2 \, q^{2} - q - 1\right)} x^{4} - 6 \, {\left(q^{2} - q\right)} x^{3} + 3 \, {\left(q^{2} - q\right)} x^{2}\right)} {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{2}{3}} \left(-q\right)^{\frac{2}{3}} - 6 \, {\left({\left(q^{3} + 7 \, q^{2} + q\right)} x^{5} - {\left(19 \, q^{3} + 25 \, q^{2} + q\right)} x^{4} + 45 \, q^{3} x + 9 \, {\left(7 \, q^{3} + 3 \, q^{2}\right)} x^{3} - 9 \, q^{3} - 9 \, {\left(9 \, q^{3} + q^{2}\right)} x^{2}\right)} {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{1}{3}} - {\left({\left(q^{3} - 12 \, q^{2} - 15 \, q - 1\right)} x^{6} + 18 \, {\left(q^{3} + 6 \, q^{2} + 2 \, q\right)} x^{5} - 9 \, {\left(17 \, q^{3} + 26 \, q^{2} + 2 \, q\right)} x^{4} + 162 \, q^{3} x + 180 \, {\left(2 \, q^{3} + q^{2}\right)} x^{3} - 27 \, q^{3} - 45 \, {\left(8 \, q^{3} + q^{2}\right)} x^{2}\right)} \left(-q\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-q\right)^{\frac{1}{3}}}{q}}}{3 \, {\left({\left(q^{3} + 24 \, q^{2} + 3 \, q - 1\right)} x^{6} - 54 \, {\left(q^{3} + 2 \, q^{2}\right)} x^{5} + 81 \, {\left(3 \, q^{3} + 2 \, q^{2}\right)} x^{4} - 162 \, q^{3} x - 108 \, {\left(4 \, q^{3} + q^{2}\right)} x^{3} + 27 \, q^{3} + 27 \, {\left(14 \, q^{3} + q^{2}\right)} x^{2}\right)}}\right) - 2 \, \left(-q\right)^{\frac{2}{3}} \log\left(\frac{\left(-q\right)^{\frac{2}{3}} {\left(q - 1\right)} x^{2} + 3 \, {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{1}{3}} {\left(q x - q\right)} \left(-q\right)^{\frac{1}{3}} + 3 \, {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{2}{3}} q}{x^{2}}\right) + \left(-q\right)^{\frac{2}{3}} \log\left(\frac{3 \, {\left({\left(2 \, q + 1\right)} x^{2} - 6 \, q x + 3 \, q\right)} {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{2}{3}} \left(-q\right)^{\frac{2}{3}} + 3 \, {\left({\left(q^{2} + 2 \, q\right)} x^{3} + 9 \, q^{2} x - {\left(7 \, q^{2} + 2 \, q\right)} x^{2} - 3 \, q^{2}\right)} {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{1}{3}} - {\left({\left(q^{2} + 7 \, q + 1\right)} x^{4} - 18 \, {\left(q^{2} + q\right)} x^{3} - 36 \, q^{2} x + 9 \, {\left(5 \, q^{2} + q\right)} x^{2} + 9 \, q^{2}\right)} \left(-q\right)^{\frac{1}{3}}}{x^{4}}\right)}{12 \, q}\right]"," ",0,"[1/12*(sqrt(3)*q*sqrt((-q)^(1/3)/q)*log(-((q^3 - 30*q^2 - 51*q - 1)*x^6 + 54*(q^3 + 6*q^2 + 2*q)*x^5 - 27*(17*q^3 + 26*q^2 + 2*q)*x^4 + 486*q^3*x + 540*(2*q^3 + q^2)*x^3 - 81*q^3 - 135*(8*q^3 + q^2)*x^2 + 9*((2*q^2 - q - 1)*x^4 - 6*(q^2 - q)*x^3 + 3*(q^2 - q)*x^2)*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(2/3)*(-q)^(1/3) + 9*((q^2 + 7*q + 1)*x^5 - (19*q^2 + 25*q + 1)*x^4 + 9*(7*q^2 + 3*q)*x^3 + 45*q^2*x - 9*(9*q^2 + q)*x^2 - 9*q^2)*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(1/3)*(-q)^(2/3) + sqrt(3)*(3*((4*q^2 + 13*q + 1)*x^4 - 6*(7*q^2 + 5*q)*x^3 - 72*q^2*x + 3*(31*q^2 + 5*q)*x^2 + 18*q^2)*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(2/3)*(-q)^(2/3) + 3*((q^3 - 5*q^2 - 5*q)*x^5 + 5*(q^3 + 7*q^2 + q)*x^4 - 45*q^3*x - 45*(q^3 + q^2)*x^3 + 9*q^3 + 15*(5*q^3 + q^2)*x^2)*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(1/3) + ((q^3 + 24*q^2 + 3*q - 1)*x^6 - 54*(q^3 + 2*q^2)*x^5 + 81*(3*q^3 + 2*q^2)*x^4 - 162*q^3*x - 108*(4*q^3 + q^2)*x^3 + 27*q^3 + 27*(14*q^3 + q^2)*x^2)*(-q)^(1/3))*sqrt((-q)^(1/3)/q))/x^6) - 2*(-q)^(2/3)*log(((-q)^(2/3)*(q - 1)*x^2 + 3*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(1/3)*(q*x - q)*(-q)^(1/3) + 3*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(2/3)*q)/x^2) + (-q)^(2/3)*log((3*((2*q + 1)*x^2 - 6*q*x + 3*q)*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(2/3)*(-q)^(2/3) + 3*((q^2 + 2*q)*x^3 + 9*q^2*x - (7*q^2 + 2*q)*x^2 - 3*q^2)*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(1/3) - ((q^2 + 7*q + 1)*x^4 - 18*(q^2 + q)*x^3 - 36*q^2*x + 9*(5*q^2 + q)*x^2 + 9*q^2)*(-q)^(1/3))/x^4))/q, 1/12*(2*sqrt(3)*q*sqrt(-(-q)^(1/3)/q)*arctan(1/3*sqrt(3)*(6*((2*q^2 - q - 1)*x^4 - 6*(q^2 - q)*x^3 + 3*(q^2 - q)*x^2)*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(2/3)*(-q)^(2/3) - 6*((q^3 + 7*q^2 + q)*x^5 - (19*q^3 + 25*q^2 + q)*x^4 + 45*q^3*x + 9*(7*q^3 + 3*q^2)*x^3 - 9*q^3 - 9*(9*q^3 + q^2)*x^2)*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(1/3) - ((q^3 - 12*q^2 - 15*q - 1)*x^6 + 18*(q^3 + 6*q^2 + 2*q)*x^5 - 9*(17*q^3 + 26*q^2 + 2*q)*x^4 + 162*q^3*x + 180*(2*q^3 + q^2)*x^3 - 27*q^3 - 45*(8*q^3 + q^2)*x^2)*(-q)^(1/3))*sqrt(-(-q)^(1/3)/q)/((q^3 + 24*q^2 + 3*q - 1)*x^6 - 54*(q^3 + 2*q^2)*x^5 + 81*(3*q^3 + 2*q^2)*x^4 - 162*q^3*x - 108*(4*q^3 + q^2)*x^3 + 27*q^3 + 27*(14*q^3 + q^2)*x^2)) - 2*(-q)^(2/3)*log(((-q)^(2/3)*(q - 1)*x^2 + 3*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(1/3)*(q*x - q)*(-q)^(1/3) + 3*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(2/3)*q)/x^2) + (-q)^(2/3)*log((3*((2*q + 1)*x^2 - 6*q*x + 3*q)*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(2/3)*(-q)^(2/3) + 3*((q^2 + 2*q)*x^3 + 9*q^2*x - (7*q^2 + 2*q)*x^2 - 3*q^2)*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(1/3) - ((q^2 + 7*q + 1)*x^4 - 18*(q^2 + q)*x^3 - 36*q^2*x + 9*(5*q^2 + q)*x^2 + 9*q^2)*(-q)^(1/3))/x^4))/q]","B",0
2636,-1,0,0,0.000000," ","integrate((a*b+(-2*a+b)*x)/(x*(-a+x)*(-b+x))^(1/3)/(a^2*d+(-2*a*d+b)*x+(-1+d)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2637,1,1300,0,74.545324," ","integrate((x^4+1)/(x^4-x^2-1)/(x^4-x^2)^(1/4),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{5} + 1} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{5} \sqrt{2} {\left(224 \, x^{5} - 310 \, x^{3} + 43 \, x\right)} - \sqrt{2} {\left(215 \, x^{5} - 663 \, x^{3} + 224 \, x\right)} - \sqrt{x^{4} - x^{2}} {\left(\sqrt{5} \sqrt{2} {\left(86 \, x^{3} - 267 \, x\right)} - \sqrt{2} {\left(448 \, x^{3} - 439 \, x\right)}\right)}\right)} \sqrt{40157 \, \sqrt{5} + 36899} \sqrt{\sqrt{5} + 1} - 81862 \, {\left({\left(x^{4} - x^{2}\right)}^{\frac{3}{4}} {\left(\sqrt{2} {\left(2 \, x^{2} - 1\right)} + \sqrt{5} \sqrt{2}\right)} + {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{4} - x^{2}\right)} - \sqrt{2} {\left(x^{4} - 3 \, x^{2}\right)}\right)}\right)} \sqrt{\sqrt{5} + 1}}{163724 \, {\left(x^{5} - x^{3} - x\right)}}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{5} - 1} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{5} \sqrt{2} {\left(224 \, x^{5} - 310 \, x^{3} + 43 \, x\right)} + \sqrt{2} {\left(215 \, x^{5} - 663 \, x^{3} + 224 \, x\right)} + \sqrt{x^{4} - x^{2}} {\left(\sqrt{5} \sqrt{2} {\left(86 \, x^{3} - 267 \, x\right)} + \sqrt{2} {\left(448 \, x^{3} - 439 \, x\right)}\right)}\right)} \sqrt{40157 \, \sqrt{5} - 36899} \sqrt{\sqrt{5} - 1} + 81862 \, {\left({\left(x^{4} - x^{2}\right)}^{\frac{3}{4}} {\left(\sqrt{2} {\left(2 \, x^{2} - 1\right)} - \sqrt{5} \sqrt{2}\right)} + {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} {\left(\sqrt{5} \sqrt{2} {\left(x^{4} - x^{2}\right)} + \sqrt{2} {\left(x^{4} - 3 \, x^{2}\right)}\right)}\right)} \sqrt{\sqrt{5} - 1}}{163724 \, {\left(x^{5} - x^{3} - x\right)}}\right) + \frac{1}{8} \, \sqrt{2} \sqrt{\sqrt{5} + 1} \log\left(\frac{4 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}} {\left(448 \, x^{2} + \sqrt{5} {\left(86 \, x^{2} + 181\right)} - 9\right)} + {\left(\sqrt{5} \sqrt{2} {\left(9 \, x^{5} - 371 \, x^{3} + 181 \, x\right)} - \sqrt{2} {\left(905 \, x^{5} - 923 \, x^{3} + 9 \, x\right)} - 2 \, \sqrt{x^{4} - x^{2}} {\left(\sqrt{5} \sqrt{2} {\left(181 \, x^{3} - 95 \, x\right)} - \sqrt{2} {\left(9 \, x^{3} - 457 \, x\right)}\right)}\right)} \sqrt{\sqrt{5} + 1} - 4 \, {\left(9 \, x^{4} - 457 \, x^{2} - \sqrt{5} {\left(181 \, x^{4} - 95 \, x^{2}\right)}\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}}}{x^{5} - x^{3} - x}\right) - \frac{1}{8} \, \sqrt{2} \sqrt{\sqrt{5} + 1} \log\left(\frac{4 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}} {\left(448 \, x^{2} + \sqrt{5} {\left(86 \, x^{2} + 181\right)} - 9\right)} - {\left(\sqrt{5} \sqrt{2} {\left(9 \, x^{5} - 371 \, x^{3} + 181 \, x\right)} - \sqrt{2} {\left(905 \, x^{5} - 923 \, x^{3} + 9 \, x\right)} - 2 \, \sqrt{x^{4} - x^{2}} {\left(\sqrt{5} \sqrt{2} {\left(181 \, x^{3} - 95 \, x\right)} - \sqrt{2} {\left(9 \, x^{3} - 457 \, x\right)}\right)}\right)} \sqrt{\sqrt{5} + 1} - 4 \, {\left(9 \, x^{4} - 457 \, x^{2} - \sqrt{5} {\left(181 \, x^{4} - 95 \, x^{2}\right)}\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}}}{x^{5} - x^{3} - x}\right) - \frac{1}{8} \, \sqrt{2} \sqrt{\sqrt{5} - 1} \log\left(\frac{4 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}} {\left(448 \, x^{2} - \sqrt{5} {\left(86 \, x^{2} + 181\right)} - 9\right)} + {\left(\sqrt{5} \sqrt{2} {\left(9 \, x^{5} - 371 \, x^{3} + 181 \, x\right)} + \sqrt{2} {\left(905 \, x^{5} - 923 \, x^{3} + 9 \, x\right)} + 2 \, \sqrt{x^{4} - x^{2}} {\left(\sqrt{5} \sqrt{2} {\left(181 \, x^{3} - 95 \, x\right)} + \sqrt{2} {\left(9 \, x^{3} - 457 \, x\right)}\right)}\right)} \sqrt{\sqrt{5} - 1} + 4 \, {\left(9 \, x^{4} - 457 \, x^{2} + \sqrt{5} {\left(181 \, x^{4} - 95 \, x^{2}\right)}\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}}}{x^{5} - x^{3} - x}\right) + \frac{1}{8} \, \sqrt{2} \sqrt{\sqrt{5} - 1} \log\left(\frac{4 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}} {\left(448 \, x^{2} - \sqrt{5} {\left(86 \, x^{2} + 181\right)} - 9\right)} - {\left(\sqrt{5} \sqrt{2} {\left(9 \, x^{5} - 371 \, x^{3} + 181 \, x\right)} + \sqrt{2} {\left(905 \, x^{5} - 923 \, x^{3} + 9 \, x\right)} + 2 \, \sqrt{x^{4} - x^{2}} {\left(\sqrt{5} \sqrt{2} {\left(181 \, x^{3} - 95 \, x\right)} + \sqrt{2} {\left(9 \, x^{3} - 457 \, x\right)}\right)}\right)} \sqrt{\sqrt{5} - 1} + 4 \, {\left(9 \, x^{4} - 457 \, x^{2} + \sqrt{5} {\left(181 \, x^{4} - 95 \, x^{2}\right)}\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}}}{x^{5} - x^{3} - x}\right) - \frac{1}{2} \, \arctan\left(\frac{2 \, {\left({\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} + {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}\right)}}{x}\right) + \frac{1}{2} \, \log\left(\frac{2 \, x^{3} + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \, \sqrt{x^{4} - x^{2}} x - x + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{x}\right)"," ",0,"-1/2*sqrt(2)*sqrt(sqrt(5) + 1)*arctan(-1/163724*(sqrt(2)*(sqrt(5)*sqrt(2)*(224*x^5 - 310*x^3 + 43*x) - sqrt(2)*(215*x^5 - 663*x^3 + 224*x) - sqrt(x^4 - x^2)*(sqrt(5)*sqrt(2)*(86*x^3 - 267*x) - sqrt(2)*(448*x^3 - 439*x)))*sqrt(40157*sqrt(5) + 36899)*sqrt(sqrt(5) + 1) - 81862*((x^4 - x^2)^(3/4)*(sqrt(2)*(2*x^2 - 1) + sqrt(5)*sqrt(2)) + (x^4 - x^2)^(1/4)*(sqrt(5)*sqrt(2)*(x^4 - x^2) - sqrt(2)*(x^4 - 3*x^2)))*sqrt(sqrt(5) + 1))/(x^5 - x^3 - x)) + 1/2*sqrt(2)*sqrt(sqrt(5) - 1)*arctan(1/163724*(sqrt(2)*(sqrt(5)*sqrt(2)*(224*x^5 - 310*x^3 + 43*x) + sqrt(2)*(215*x^5 - 663*x^3 + 224*x) + sqrt(x^4 - x^2)*(sqrt(5)*sqrt(2)*(86*x^3 - 267*x) + sqrt(2)*(448*x^3 - 439*x)))*sqrt(40157*sqrt(5) - 36899)*sqrt(sqrt(5) - 1) + 81862*((x^4 - x^2)^(3/4)*(sqrt(2)*(2*x^2 - 1) - sqrt(5)*sqrt(2)) + (x^4 - x^2)^(1/4)*(sqrt(5)*sqrt(2)*(x^4 - x^2) + sqrt(2)*(x^4 - 3*x^2)))*sqrt(sqrt(5) - 1))/(x^5 - x^3 - x)) + 1/8*sqrt(2)*sqrt(sqrt(5) + 1)*log((4*(x^4 - x^2)^(3/4)*(448*x^2 + sqrt(5)*(86*x^2 + 181) - 9) + (sqrt(5)*sqrt(2)*(9*x^5 - 371*x^3 + 181*x) - sqrt(2)*(905*x^5 - 923*x^3 + 9*x) - 2*sqrt(x^4 - x^2)*(sqrt(5)*sqrt(2)*(181*x^3 - 95*x) - sqrt(2)*(9*x^3 - 457*x)))*sqrt(sqrt(5) + 1) - 4*(9*x^4 - 457*x^2 - sqrt(5)*(181*x^4 - 95*x^2))*(x^4 - x^2)^(1/4))/(x^5 - x^3 - x)) - 1/8*sqrt(2)*sqrt(sqrt(5) + 1)*log((4*(x^4 - x^2)^(3/4)*(448*x^2 + sqrt(5)*(86*x^2 + 181) - 9) - (sqrt(5)*sqrt(2)*(9*x^5 - 371*x^3 + 181*x) - sqrt(2)*(905*x^5 - 923*x^3 + 9*x) - 2*sqrt(x^4 - x^2)*(sqrt(5)*sqrt(2)*(181*x^3 - 95*x) - sqrt(2)*(9*x^3 - 457*x)))*sqrt(sqrt(5) + 1) - 4*(9*x^4 - 457*x^2 - sqrt(5)*(181*x^4 - 95*x^2))*(x^4 - x^2)^(1/4))/(x^5 - x^3 - x)) - 1/8*sqrt(2)*sqrt(sqrt(5) - 1)*log((4*(x^4 - x^2)^(3/4)*(448*x^2 - sqrt(5)*(86*x^2 + 181) - 9) + (sqrt(5)*sqrt(2)*(9*x^5 - 371*x^3 + 181*x) + sqrt(2)*(905*x^5 - 923*x^3 + 9*x) + 2*sqrt(x^4 - x^2)*(sqrt(5)*sqrt(2)*(181*x^3 - 95*x) + sqrt(2)*(9*x^3 - 457*x)))*sqrt(sqrt(5) - 1) + 4*(9*x^4 - 457*x^2 + sqrt(5)*(181*x^4 - 95*x^2))*(x^4 - x^2)^(1/4))/(x^5 - x^3 - x)) + 1/8*sqrt(2)*sqrt(sqrt(5) - 1)*log((4*(x^4 - x^2)^(3/4)*(448*x^2 - sqrt(5)*(86*x^2 + 181) - 9) - (sqrt(5)*sqrt(2)*(9*x^5 - 371*x^3 + 181*x) + sqrt(2)*(905*x^5 - 923*x^3 + 9*x) + 2*sqrt(x^4 - x^2)*(sqrt(5)*sqrt(2)*(181*x^3 - 95*x) + sqrt(2)*(9*x^3 - 457*x)))*sqrt(sqrt(5) - 1) + 4*(9*x^4 - 457*x^2 + sqrt(5)*(181*x^4 - 95*x^2))*(x^4 - x^2)^(1/4))/(x^5 - x^3 - x)) - 1/2*arctan(2*((x^4 - x^2)^(1/4)*x^2 + (x^4 - x^2)^(3/4))/x) + 1/2*log((2*x^3 + 2*(x^4 - x^2)^(1/4)*x^2 + 2*sqrt(x^4 - x^2)*x - x + 2*(x^4 - x^2)^(3/4))/x)","B",0
2638,1,359,0,40.470301," ","integrate(x^3*(-a/b^2+a^2*x^2/b^2)^(1/2)/(a*x^2+b*x*(-a/b^2+a^2*x^2/b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{255 \, \sqrt{2} \sqrt{a} \log\left(-4 \, a^{2} x^{2} - 4 \, a b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}} + 2 \, {\left(\sqrt{2} a^{\frac{3}{2}} x + \sqrt{2} \sqrt{a} b \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}}\right)} \sqrt{a x^{2} + b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}}} + a\right) - 4 \, {\left(384 \, a^{3} x^{5} - 568 \, a^{2} x^{3} - 85 \, a x - {\left(384 \, a^{2} b x^{4} - 136 \, a b x^{2} - 255 \, b\right)} \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}}\right)} \sqrt{a x^{2} + b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}}}}{7680 \, a^{2} b}, \frac{255 \, \sqrt{2} \sqrt{-a} \arctan\left(\frac{\sqrt{2} \sqrt{a x^{2} + b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}}} \sqrt{-a}}{2 \, a x}\right) - 2 \, {\left(384 \, a^{3} x^{5} - 568 \, a^{2} x^{3} - 85 \, a x - {\left(384 \, a^{2} b x^{4} - 136 \, a b x^{2} - 255 \, b\right)} \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}}\right)} \sqrt{a x^{2} + b x \sqrt{\frac{a^{2} x^{2} - a}{b^{2}}}}}{3840 \, a^{2} b}\right]"," ",0,"[1/7680*(255*sqrt(2)*sqrt(a)*log(-4*a^2*x^2 - 4*a*b*x*sqrt((a^2*x^2 - a)/b^2) + 2*(sqrt(2)*a^(3/2)*x + sqrt(2)*sqrt(a)*b*sqrt((a^2*x^2 - a)/b^2))*sqrt(a*x^2 + b*x*sqrt((a^2*x^2 - a)/b^2)) + a) - 4*(384*a^3*x^5 - 568*a^2*x^3 - 85*a*x - (384*a^2*b*x^4 - 136*a*b*x^2 - 255*b)*sqrt((a^2*x^2 - a)/b^2))*sqrt(a*x^2 + b*x*sqrt((a^2*x^2 - a)/b^2)))/(a^2*b), 1/3840*(255*sqrt(2)*sqrt(-a)*arctan(1/2*sqrt(2)*sqrt(a*x^2 + b*x*sqrt((a^2*x^2 - a)/b^2))*sqrt(-a)/(a*x)) - 2*(384*a^3*x^5 - 568*a^2*x^3 - 85*a*x - (384*a^2*b*x^4 - 136*a*b*x^2 - 255*b)*sqrt((a^2*x^2 - a)/b^2))*sqrt(a*x^2 + b*x*sqrt((a^2*x^2 - a)/b^2)))/(a^2*b)]","A",0
2639,1,387,0,8.182490," ","integrate((x^3-x)^(1/3)*(x^4-2)/x^4/(x^2+1),x, algorithm=""fricas"")","-\frac{4 \cdot 4^{\frac{1}{6}} \sqrt{3} \left(-1\right)^{\frac{1}{3}} x^{3} \arctan\left(\frac{4^{\frac{1}{6}} \sqrt{3} {\left(6 \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{2}{3}} {\left(19 \, x^{5} - 16 \, x^{3} + x\right)} {\left(x^{3} - x\right)}^{\frac{1}{3}} + 12 \, \left(-1\right)^{\frac{1}{3}} {\left(5 \, x^{4} + 4 \, x^{2} - 1\right)} {\left(x^{3} - x\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} {\left(71 \, x^{6} - 111 \, x^{4} + 33 \, x^{2} - 1\right)}\right)}}{6 \, {\left(109 \, x^{6} - 105 \, x^{4} + 3 \, x^{2} + 1\right)}}\right) + 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} x^{3} \log\left(\frac{6 \cdot 4^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{3} - x\right)}^{\frac{2}{3}} {\left(5 \, x^{2} - 1\right)} - 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(19 \, x^{4} - 16 \, x^{2} + 1\right)} + 24 \, {\left(2 \, x^{3} - x\right)} {\left(x^{3} - x\right)}^{\frac{1}{3}}}{x^{4} + 2 \, x^{2} + 1}\right) - 2 \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} x^{3} \log\left(-\frac{3 \cdot 4^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{3} - x\right)}^{\frac{1}{3}} x + 4^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{2} + 1\right)} + 6 \, {\left(x^{3} - x\right)}^{\frac{2}{3}}}{x^{2} + 1}\right) + 12 \, \sqrt{3} x^{3} \arctan\left(-\frac{44032959556 \, \sqrt{3} {\left(x^{3} - x\right)}^{\frac{1}{3}} x + \sqrt{3} {\left(16754327161 \, x^{2} - 2707204793\right)} - 10524305234 \, \sqrt{3} {\left(x^{3} - x\right)}^{\frac{2}{3}}}{81835897185 \, x^{2} - 1102302937}\right) + 6 \, x^{3} \log\left(-3 \, {\left(x^{3} - x\right)}^{\frac{1}{3}} x + 3 \, {\left(x^{3} - x\right)}^{\frac{2}{3}} + 1\right) + 18 \, {\left(x^{3} - x\right)}^{\frac{1}{3}} {\left(5 \, x^{2} - 1\right)}}{24 \, x^{3}}"," ",0,"-1/24*(4*4^(1/6)*sqrt(3)*(-1)^(1/3)*x^3*arctan(1/6*4^(1/6)*sqrt(3)*(6*4^(2/3)*(-1)^(2/3)*(19*x^5 - 16*x^3 + x)*(x^3 - x)^(1/3) + 12*(-1)^(1/3)*(5*x^4 + 4*x^2 - 1)*(x^3 - x)^(2/3) + 4^(1/3)*(71*x^6 - 111*x^4 + 33*x^2 - 1))/(109*x^6 - 105*x^4 + 3*x^2 + 1)) + 4^(2/3)*(-1)^(1/3)*x^3*log((6*4^(1/3)*(-1)^(2/3)*(x^3 - x)^(2/3)*(5*x^2 - 1) - 4^(2/3)*(-1)^(1/3)*(19*x^4 - 16*x^2 + 1) + 24*(2*x^3 - x)*(x^3 - x)^(1/3))/(x^4 + 2*x^2 + 1)) - 2*4^(2/3)*(-1)^(1/3)*x^3*log(-(3*4^(2/3)*(-1)^(1/3)*(x^3 - x)^(1/3)*x + 4^(1/3)*(-1)^(2/3)*(x^2 + 1) + 6*(x^3 - x)^(2/3))/(x^2 + 1)) + 12*sqrt(3)*x^3*arctan(-(44032959556*sqrt(3)*(x^3 - x)^(1/3)*x + sqrt(3)*(16754327161*x^2 - 2707204793) - 10524305234*sqrt(3)*(x^3 - x)^(2/3))/(81835897185*x^2 - 1102302937)) + 6*x^3*log(-3*(x^3 - x)^(1/3)*x + 3*(x^3 - x)^(2/3) + 1) + 18*(x^3 - x)^(1/3)*(5*x^2 - 1))/x^3","B",0
2640,-1,0,0,0.000000," ","integrate(2*(a*p*x^5-2*b*p*x^3+3*a*q*x)/(p*x^4+q)^(1/3)/(b^3*d+c*q+3*a*b^2*d*x^2+(3*a^2*b*d+c*p)*x^4+a^3*d*x^6),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2641,-1,0,0,0.000000," ","integrate((b^2-2*b*x+x^2)*(-a^2*b+4*a*b*x-(2*a+3*b)*x^2+2*x^3)/(x*(-a+x)^2*(-b+x)^3)^(3/4)/(b*d+(a^2-d)*x-2*a*x^2+x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2642,-1,0,0,0.000000," ","integrate((-2+(1+k)*x)*(1-2*(1+k)*x+(k^2+4*k+1)*x^2-2*(k^2+k)*x^3+(k^2+a)*x^4)/x^3/((1-x)*x*(-k*x+1))^(2/3)/(1-(1+k)*x+(-b+k)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2643,1,7128,0,3.002074," ","integrate((x^3+1)*(x^3-x^2)^(1/3)/(x^6+1),x, algorithm=""fricas"")","-\frac{1}{6} \cdot 4^{\frac{2}{3}} \sqrt{3} {\left(27 \, \sqrt{\frac{1}{1944} i} + 27 \, \sqrt{-\frac{1}{1944} i} + \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}} - \frac{3}{2}\right)}^{\frac{1}{3}} \arctan\left(\frac{{\left(4^{\frac{1}{3}} \sqrt{3} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - {\left(4^{\frac{1}{3}} \sqrt{3} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 4^{\frac{1}{3}} \sqrt{3} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} - 12 \cdot 4^{\frac{1}{3}} \sqrt{3} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - {\left(4^{\frac{1}{3}} \sqrt{3} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - 12 \cdot 4^{\frac{1}{3}} \sqrt{3} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + 12 \cdot 4^{\frac{1}{3}} \sqrt{3} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - 4 \, {\left(4^{\frac{1}{3}} \sqrt{3} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - {\left(4^{\frac{1}{3}} \sqrt{3} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 4^{\frac{1}{3}} \sqrt{3} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}\right)} \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}}\right)} {\left(27 \, \sqrt{\frac{1}{1944} i} + 27 \, \sqrt{-\frac{1}{1944} i} + \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}} - \frac{3}{2}\right)}^{\frac{2}{3}} \sqrt{\frac{2 \, {\left(4^{\frac{1}{3}} x^{2} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} + 4^{\frac{1}{3}} x^{2} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} - 8 \cdot 4^{\frac{1}{3}} x^{2} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 8 \cdot 4^{\frac{1}{3}} x^{2} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} + 32 \cdot 4^{\frac{1}{3}} x^{2} - 4 \, {\left(4^{\frac{1}{3}} x^{2} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + 4^{\frac{1}{3}} x^{2} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - 4 \cdot 4^{\frac{1}{3}} x^{2}\right)} \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}}\right)} {\left(27 \, \sqrt{\frac{1}{1944} i} + 27 \, \sqrt{-\frac{1}{1944} i} + \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}} - \frac{3}{2}\right)}^{\frac{2}{3}} - {\left(2 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - 20 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - {\left(4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 2 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 48 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x - {\left(4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - 12 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + 20 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - 4 \, {\left(2 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 4 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x - {\left(4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 2 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}\right)} \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}}\right)} {\left(27 \, \sqrt{\frac{1}{1944} i} + 27 \, \sqrt{-\frac{1}{1944} i} + \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}} - \frac{3}{2}\right)}^{\frac{1}{3}} + 64 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 8 \, {\left(4^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - {\left(4^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 4^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} - 12 \cdot 4^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - {\left(4^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - 12 \cdot 4^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + 12 \cdot 4^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - 4 \, {\left(4^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - {\left(4^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 4^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}\right)} \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}}\right)} {\left(27 \, \sqrt{\frac{1}{1944} i} + 27 \, \sqrt{-\frac{1}{1944} i} + \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}} - \frac{3}{2}\right)}^{\frac{2}{3}} + 128 \, \sqrt{3} x}{384 \, x}\right) + \frac{1}{6} \cdot 4^{\frac{2}{3}} \sqrt{3} {\left(27 \, \sqrt{\frac{1}{1944} i} + 27 \, \sqrt{-\frac{1}{1944} i} - \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}} - \frac{3}{2}\right)}^{\frac{1}{3}} \arctan\left(-\frac{{\left(4^{\frac{1}{3}} \sqrt{3} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - {\left(4^{\frac{1}{3}} \sqrt{3} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 4^{\frac{1}{3}} \sqrt{3} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} - 12 \cdot 4^{\frac{1}{3}} \sqrt{3} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - {\left(4^{\frac{1}{3}} \sqrt{3} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - 12 \cdot 4^{\frac{1}{3}} \sqrt{3} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + 12 \cdot 4^{\frac{1}{3}} \sqrt{3} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} + 4 \, {\left(4^{\frac{1}{3}} \sqrt{3} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - {\left(4^{\frac{1}{3}} \sqrt{3} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 4^{\frac{1}{3}} \sqrt{3} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}\right)} \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}}\right)} {\left(27 \, \sqrt{\frac{1}{1944} i} + 27 \, \sqrt{-\frac{1}{1944} i} - \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}} - \frac{3}{2}\right)}^{\frac{2}{3}} \sqrt{\frac{2 \, {\left(4^{\frac{1}{3}} x^{2} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} + 4^{\frac{1}{3}} x^{2} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} - 8 \cdot 4^{\frac{1}{3}} x^{2} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 8 \cdot 4^{\frac{1}{3}} x^{2} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} + 32 \cdot 4^{\frac{1}{3}} x^{2} + 4 \, {\left(4^{\frac{1}{3}} x^{2} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + 4^{\frac{1}{3}} x^{2} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - 4 \cdot 4^{\frac{1}{3}} x^{2}\right)} \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}}\right)} {\left(27 \, \sqrt{\frac{1}{1944} i} + 27 \, \sqrt{-\frac{1}{1944} i} - \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}} - \frac{3}{2}\right)}^{\frac{2}{3}} - {\left(2 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - 20 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - {\left(4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 2 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 48 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x - {\left(4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - 12 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + 20 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} + 4 \, {\left(2 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 4 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x - {\left(4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 2 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}\right)} \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}}\right)} {\left(27 \, \sqrt{\frac{1}{1944} i} + 27 \, \sqrt{-\frac{1}{1944} i} - \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}} - \frac{3}{2}\right)}^{\frac{1}{3}} + 64 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 8 \, {\left(4^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - {\left(4^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 4^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} - 12 \cdot 4^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - {\left(4^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - 12 \cdot 4^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + 12 \cdot 4^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} + 4 \, {\left(4^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - {\left(4^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 4^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}\right)} \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}}\right)} {\left(27 \, \sqrt{\frac{1}{1944} i} + 27 \, \sqrt{-\frac{1}{1944} i} - \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}} - \frac{3}{2}\right)}^{\frac{2}{3}} + 128 \, \sqrt{3} x}{384 \, x}\right) + \frac{1}{24} \, \sqrt{3} 2^{\frac{2}{3}} \log\left(\frac{32 \, {\left(2 \cdot 2^{\frac{1}{3}} x^{2} - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2^{\frac{2}{3}} x\right)} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + \frac{1}{24} \, \sqrt{3} 2^{\frac{2}{3}} \log\left(\frac{8 \, {\left(2 \cdot 2^{\frac{1}{3}} x^{2} - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2^{\frac{2}{3}} x\right)} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - \frac{1}{24} \, \sqrt{3} 2^{\frac{2}{3}} \log\left(\frac{32 \, {\left(2 \cdot 2^{\frac{1}{3}} x^{2} + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2^{\frac{2}{3}} x\right)} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - \frac{1}{24} \, \sqrt{3} 2^{\frac{2}{3}} \log\left(\frac{8 \, {\left(2 \cdot 2^{\frac{1}{3}} x^{2} + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2^{\frac{2}{3}} x\right)} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + \frac{1}{12} \cdot 4^{\frac{2}{3}} {\left(27 \, \sqrt{\frac{1}{1944} i} + 27 \, \sqrt{-\frac{1}{1944} i} + \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}} - \frac{3}{2}\right)}^{\frac{1}{3}} \log\left(\frac{{\left(2 \cdot 4^{\frac{2}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - {\left(4^{\frac{2}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 2 \cdot 4^{\frac{2}{3}} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} - 20 \cdot 4^{\frac{2}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - {\left(4^{\frac{2}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - 12 \cdot 4^{\frac{2}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + 20 \cdot 4^{\frac{2}{3}} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} + 48 \cdot 4^{\frac{2}{3}} x - 4 \, {\left(2 \cdot 4^{\frac{2}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - {\left(4^{\frac{2}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 2 \cdot 4^{\frac{2}{3}} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - 4 \cdot 4^{\frac{2}{3}} x\right)} \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}}\right)} {\left(27 \, \sqrt{\frac{1}{1944} i} + 27 \, \sqrt{-\frac{1}{1944} i} + \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}} - \frac{3}{2}\right)}^{\frac{1}{3}} + 64 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{16 \, x}\right) + \frac{1}{12} \cdot 4^{\frac{2}{3}} {\left(27 \, \sqrt{\frac{1}{1944} i} + 27 \, \sqrt{-\frac{1}{1944} i} - \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}} - \frac{3}{2}\right)}^{\frac{1}{3}} \log\left(\frac{{\left(2 \cdot 4^{\frac{2}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - {\left(4^{\frac{2}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 2 \cdot 4^{\frac{2}{3}} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} - 20 \cdot 4^{\frac{2}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - {\left(4^{\frac{2}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - 12 \cdot 4^{\frac{2}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + 20 \cdot 4^{\frac{2}{3}} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} + 48 \cdot 4^{\frac{2}{3}} x + 4 \, {\left(2 \cdot 4^{\frac{2}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - {\left(4^{\frac{2}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 2 \cdot 4^{\frac{2}{3}} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - 4 \cdot 4^{\frac{2}{3}} x\right)} \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}}\right)} {\left(27 \, \sqrt{\frac{1}{1944} i} + 27 \, \sqrt{-\frac{1}{1944} i} - \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}} - \frac{3}{2}\right)}^{\frac{1}{3}} + 64 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{16 \, x}\right) - \frac{1}{24} \cdot 4^{\frac{2}{3}} {\left(27 \, \sqrt{\frac{1}{1944} i} + 27 \, \sqrt{-\frac{1}{1944} i} + \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}} - \frac{3}{2}\right)}^{\frac{1}{3}} \log\left(\frac{2 \, {\left(4^{\frac{1}{3}} x^{2} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} + 4^{\frac{1}{3}} x^{2} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} - 8 \cdot 4^{\frac{1}{3}} x^{2} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 8 \cdot 4^{\frac{1}{3}} x^{2} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} + 32 \cdot 4^{\frac{1}{3}} x^{2} - 4 \, {\left(4^{\frac{1}{3}} x^{2} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + 4^{\frac{1}{3}} x^{2} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - 4 \cdot 4^{\frac{1}{3}} x^{2}\right)} \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}}\right)} {\left(27 \, \sqrt{\frac{1}{1944} i} + 27 \, \sqrt{-\frac{1}{1944} i} + \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}} - \frac{3}{2}\right)}^{\frac{2}{3}} - {\left(2 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - 20 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - {\left(4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 2 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 48 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x - {\left(4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - 12 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + 20 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - 4 \, {\left(2 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 4 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x - {\left(4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 2 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}\right)} \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}}\right)} {\left(27 \, \sqrt{\frac{1}{1944} i} + 27 \, \sqrt{-\frac{1}{1944} i} + \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}} - \frac{3}{2}\right)}^{\frac{1}{3}} + 64 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - \frac{1}{24} \cdot 4^{\frac{2}{3}} {\left(27 \, \sqrt{\frac{1}{1944} i} + 27 \, \sqrt{-\frac{1}{1944} i} - \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}} - \frac{3}{2}\right)}^{\frac{1}{3}} \log\left(\frac{2 \, {\left(4^{\frac{1}{3}} x^{2} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} + 4^{\frac{1}{3}} x^{2} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} - 8 \cdot 4^{\frac{1}{3}} x^{2} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 8 \cdot 4^{\frac{1}{3}} x^{2} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} + 32 \cdot 4^{\frac{1}{3}} x^{2} + 4 \, {\left(4^{\frac{1}{3}} x^{2} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + 4^{\frac{1}{3}} x^{2} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - 4 \cdot 4^{\frac{1}{3}} x^{2}\right)} \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}}\right)} {\left(27 \, \sqrt{\frac{1}{1944} i} + 27 \, \sqrt{-\frac{1}{1944} i} - \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}} - \frac{3}{2}\right)}^{\frac{2}{3}} - {\left(2 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - 20 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - {\left(4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 2 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 48 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x - {\left(4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - 12 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + 20 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} + 4 \, {\left(2 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 4 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x - {\left(4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 2 \cdot 4^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}\right)} \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}}\right)} {\left(27 \, \sqrt{\frac{1}{1944} i} + 27 \, \sqrt{-\frac{1}{1944} i} - \sqrt{-\frac{3}{16} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - \frac{1}{8} \, {\left(108 \, \sqrt{\frac{1}{1944} i} + i - 9\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - \frac{3}{16} \, {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 162 \, \sqrt{\frac{1}{1944} i} + \frac{3}{2} i - \frac{1}{2}} - \frac{3}{2}\right)}^{\frac{1}{3}} + 64 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - 2 \, \sqrt{3} {\left(-\frac{1}{2} \, \sqrt{\frac{1}{1944} i} - \frac{1}{216} i - \frac{1}{72}\right)}^{\frac{1}{3}} \arctan\left(-\frac{9 \, \sqrt{\frac{1}{2}} {\left(\sqrt{3} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{3} - 11 \, \sqrt{3} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} + 44 \, \sqrt{3} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 40 \, \sqrt{3} x\right)} {\left(-\frac{1}{2} \, \sqrt{\frac{1}{1944} i} - \frac{1}{216} i - \frac{1}{72}\right)}^{\frac{2}{3}} \sqrt{-\frac{18 \, {\left(x^{2} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - 8 \, x^{2} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + 16 \, x^{2}\right)} {\left(-\frac{1}{2} \, \sqrt{\frac{1}{1944} i} - \frac{1}{216} i - \frac{1}{72}\right)}^{\frac{2}{3}} - 3 \, {\left({\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{3} - 10 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} + 36 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 32 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(-\frac{1}{2} \, \sqrt{\frac{1}{1944} i} - \frac{1}{216} i - \frac{1}{72}\right)}^{\frac{1}{3}} - 8 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 18 \, {\left(\sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{3} - 11 \, \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} + 44 \, \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 40 \, \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\right)} {\left(-\frac{1}{2} \, \sqrt{\frac{1}{1944} i} - \frac{1}{216} i - \frac{1}{72}\right)}^{\frac{2}{3}} - 4 \, \sqrt{3} x}{12 \, x}\right) + 2 \, \sqrt{3} {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{1944} i} + \frac{1}{216} i - \frac{1}{72}\right)}^{\frac{1}{3}} \arctan\left(-\frac{9 \, \sqrt{\frac{1}{2}} {\left(\sqrt{3} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{3} - 12 \, \sqrt{3} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} + {\left(\sqrt{3} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - \sqrt{3} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 56 \, \sqrt{3} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + {\left(\sqrt{3} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - 12 \, \sqrt{3} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + 12 \, \sqrt{3} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - 56 \, \sqrt{3} x\right)} {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{1944} i} + \frac{1}{216} i - \frac{1}{72}\right)}^{\frac{2}{3}} \sqrt{-\frac{18 \, {\left(x^{2} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} - 8 \, x^{2} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} + 16 \, x^{2}\right)} {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{1944} i} + \frac{1}{216} i - \frac{1}{72}\right)}^{\frac{2}{3}} + 3 \, {\left({\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{3} - 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} + {\left({\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 56 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + {\left({\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + 20 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - 64 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{1944} i} + \frac{1}{216} i - \frac{1}{72}\right)}^{\frac{1}{3}} - 8 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 18 \, {\left(\sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{3} + {\left(\sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} - 12 \, \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} + {\left(\sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - 12 \, \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + 12 \, \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} + 56 \, \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 56 \, \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\right)} {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{1944} i} + \frac{1}{216} i - \frac{1}{72}\right)}^{\frac{2}{3}} + 4 \, \sqrt{3} x}{12 \, x}\right) - \frac{1}{3} \cdot 2^{\frac{2}{3}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{3} 2^{\frac{1}{3}} x + 2^{\frac{1}{3}} x\right)} \sqrt{\frac{2 \cdot 2^{\frac{1}{3}} x^{2} - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x + 2^{\frac{2}{3}} x\right)} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 2 \, \sqrt{3} x - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{1}{3}} + 2^{\frac{1}{3}}\right)} + 4 \, x}{2 \, x}\right) + \frac{1}{3} \cdot 2^{\frac{2}{3}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{3} 2^{\frac{1}{3}} x - 2^{\frac{1}{3}} x\right)} \sqrt{\frac{2 \cdot 2^{\frac{1}{3}} x^{2} + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} x - 2^{\frac{2}{3}} x\right)} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 2 \, \sqrt{3} x - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{1}{3}} - 2^{\frac{1}{3}}\right)} - 4 \, x}{2 \, x}\right) + \frac{2}{3} \cdot 2^{\frac{2}{3}} \arctan\left(\frac{2^{\frac{1}{3}} x \sqrt{\frac{2^{\frac{1}{3}} x^{2} + 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - x - 2^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) + {\left(-\frac{1}{2} \, \sqrt{\frac{1}{1944} i} - \frac{1}{216} i - \frac{1}{72}\right)}^{\frac{1}{3}} \log\left(-\frac{3 \, {\left(x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{3} - 10 \, x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} + 36 \, x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 32 \, x\right)} {\left(-\frac{1}{2} \, \sqrt{\frac{1}{1944} i} - \frac{1}{216} i - \frac{1}{72}\right)}^{\frac{1}{3}} - 8 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{8 \, x}\right) + {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{1944} i} + \frac{1}{216} i - \frac{1}{72}\right)}^{\frac{1}{3}} \log\left(\frac{3 \, {\left(x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{3} - 12 \, x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} + {\left(x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 2 \, x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 56 \, x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + {\left(x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - 12 \, x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + 20 \, x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - 64 \, x\right)} {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{1944} i} + \frac{1}{216} i - \frac{1}{72}\right)}^{\frac{1}{3}} + 8 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{8 \, x}\right) - \frac{1}{2} \, {\left(-\frac{1}{2} \, \sqrt{\frac{1}{1944} i} - \frac{1}{216} i - \frac{1}{72}\right)}^{\frac{1}{3}} \log\left(-\frac{18 \, {\left(x^{2} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - 8 \, x^{2} {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + 16 \, x^{2}\right)} {\left(-\frac{1}{2} \, \sqrt{\frac{1}{1944} i} - \frac{1}{216} i - \frac{1}{72}\right)}^{\frac{2}{3}} - 3 \, {\left({\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{3} - 10 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} + 36 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 32 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(-\frac{1}{2} \, \sqrt{\frac{1}{1944} i} - \frac{1}{216} i - \frac{1}{72}\right)}^{\frac{1}{3}} - 8 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{8 \, x^{2}}\right) - \frac{1}{2} \, {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{1944} i} + \frac{1}{216} i - \frac{1}{72}\right)}^{\frac{1}{3}} \log\left(-\frac{18 \, {\left(x^{2} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} - 8 \, x^{2} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} + 16 \, x^{2}\right)} {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{1944} i} + \frac{1}{216} i - \frac{1}{72}\right)}^{\frac{2}{3}} + 3 \, {\left({\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{3} - 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} + {\left({\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)}^{2} + 56 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + {\left({\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)}^{2} - 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x {\left(108 \, \sqrt{\frac{1}{1944} i} + i + 3\right)} + 20 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(108 \, \sqrt{-\frac{1}{1944} i} - i + 3\right)} - 64 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(-\frac{1}{2} \, \sqrt{-\frac{1}{1944} i} + \frac{1}{216} i - \frac{1}{72}\right)}^{\frac{1}{3}} - 8 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{8 \, x^{2}}\right)"," ",0,"-1/6*4^(2/3)*sqrt(3)*(27*sqrt(1/1944*I) + 27*sqrt(-1/1944*I) + sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2) - 3/2)^(1/3)*arctan(1/384*((4^(1/3)*sqrt(3)*x*(108*sqrt(1/1944*I) + I + 3)^2 - (4^(1/3)*sqrt(3)*x*(108*sqrt(1/1944*I) + I + 3) - 4^(1/3)*sqrt(3)*x)*(108*sqrt(-1/1944*I) - I + 3)^2 - 12*4^(1/3)*sqrt(3)*x*(108*sqrt(1/1944*I) + I + 3) - (4^(1/3)*sqrt(3)*x*(108*sqrt(1/1944*I) + I + 3)^2 - 12*4^(1/3)*sqrt(3)*x*(108*sqrt(1/1944*I) + I + 3) + 12*4^(1/3)*sqrt(3)*x)*(108*sqrt(-1/1944*I) - I + 3) - 4*(4^(1/3)*sqrt(3)*x*(108*sqrt(1/1944*I) + I + 3) - (4^(1/3)*sqrt(3)*x*(108*sqrt(1/1944*I) + I + 3) - 4^(1/3)*sqrt(3)*x)*(108*sqrt(-1/1944*I) - I + 3))*sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2))*(27*sqrt(1/1944*I) + 27*sqrt(-1/1944*I) + sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2) - 3/2)^(2/3)*sqrt((2*(4^(1/3)*x^2*(108*sqrt(1/1944*I) + I + 3)^2 + 4^(1/3)*x^2*(108*sqrt(-1/1944*I) - I + 3)^2 - 8*4^(1/3)*x^2*(108*sqrt(1/1944*I) + I + 3) - 8*4^(1/3)*x^2*(108*sqrt(-1/1944*I) - I + 3) + 32*4^(1/3)*x^2 - 4*(4^(1/3)*x^2*(108*sqrt(1/1944*I) + I + 3) + 4^(1/3)*x^2*(108*sqrt(-1/1944*I) - I + 3) - 4*4^(1/3)*x^2)*sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2))*(27*sqrt(1/1944*I) + 27*sqrt(-1/1944*I) + sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2) - 3/2)^(2/3) - (2*4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3)^2 - 20*4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) - (4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) - 2*4^(2/3)*(x^3 - x^2)^(1/3)*x)*(108*sqrt(-1/1944*I) - I + 3)^2 + 48*4^(2/3)*(x^3 - x^2)^(1/3)*x - (4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3)^2 - 12*4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) + 20*4^(2/3)*(x^3 - x^2)^(1/3)*x)*(108*sqrt(-1/1944*I) - I + 3) - 4*(2*4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) - 4*4^(2/3)*(x^3 - x^2)^(1/3)*x - (4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) - 2*4^(2/3)*(x^3 - x^2)^(1/3)*x)*(108*sqrt(-1/1944*I) - I + 3))*sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2))*(27*sqrt(1/1944*I) + 27*sqrt(-1/1944*I) + sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2) - 3/2)^(1/3) + 64*(x^3 - x^2)^(2/3))/x^2) - 8*(4^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*(108*sqrt(1/1944*I) + I + 3)^2 - (4^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*(108*sqrt(1/1944*I) + I + 3) - 4^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3))*(108*sqrt(-1/1944*I) - I + 3)^2 - 12*4^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*(108*sqrt(1/1944*I) + I + 3) - (4^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*(108*sqrt(1/1944*I) + I + 3)^2 - 12*4^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*(108*sqrt(1/1944*I) + I + 3) + 12*4^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3))*(108*sqrt(-1/1944*I) - I + 3) - 4*(4^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*(108*sqrt(1/1944*I) + I + 3) - (4^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*(108*sqrt(1/1944*I) + I + 3) - 4^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3))*(108*sqrt(-1/1944*I) - I + 3))*sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2))*(27*sqrt(1/1944*I) + 27*sqrt(-1/1944*I) + sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2) - 3/2)^(2/3) + 128*sqrt(3)*x)/x) + 1/6*4^(2/3)*sqrt(3)*(27*sqrt(1/1944*I) + 27*sqrt(-1/1944*I) - sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2) - 3/2)^(1/3)*arctan(-1/384*((4^(1/3)*sqrt(3)*x*(108*sqrt(1/1944*I) + I + 3)^2 - (4^(1/3)*sqrt(3)*x*(108*sqrt(1/1944*I) + I + 3) - 4^(1/3)*sqrt(3)*x)*(108*sqrt(-1/1944*I) - I + 3)^2 - 12*4^(1/3)*sqrt(3)*x*(108*sqrt(1/1944*I) + I + 3) - (4^(1/3)*sqrt(3)*x*(108*sqrt(1/1944*I) + I + 3)^2 - 12*4^(1/3)*sqrt(3)*x*(108*sqrt(1/1944*I) + I + 3) + 12*4^(1/3)*sqrt(3)*x)*(108*sqrt(-1/1944*I) - I + 3) + 4*(4^(1/3)*sqrt(3)*x*(108*sqrt(1/1944*I) + I + 3) - (4^(1/3)*sqrt(3)*x*(108*sqrt(1/1944*I) + I + 3) - 4^(1/3)*sqrt(3)*x)*(108*sqrt(-1/1944*I) - I + 3))*sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2))*(27*sqrt(1/1944*I) + 27*sqrt(-1/1944*I) - sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2) - 3/2)^(2/3)*sqrt((2*(4^(1/3)*x^2*(108*sqrt(1/1944*I) + I + 3)^2 + 4^(1/3)*x^2*(108*sqrt(-1/1944*I) - I + 3)^2 - 8*4^(1/3)*x^2*(108*sqrt(1/1944*I) + I + 3) - 8*4^(1/3)*x^2*(108*sqrt(-1/1944*I) - I + 3) + 32*4^(1/3)*x^2 + 4*(4^(1/3)*x^2*(108*sqrt(1/1944*I) + I + 3) + 4^(1/3)*x^2*(108*sqrt(-1/1944*I) - I + 3) - 4*4^(1/3)*x^2)*sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2))*(27*sqrt(1/1944*I) + 27*sqrt(-1/1944*I) - sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2) - 3/2)^(2/3) - (2*4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3)^2 - 20*4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) - (4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) - 2*4^(2/3)*(x^3 - x^2)^(1/3)*x)*(108*sqrt(-1/1944*I) - I + 3)^2 + 48*4^(2/3)*(x^3 - x^2)^(1/3)*x - (4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3)^2 - 12*4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) + 20*4^(2/3)*(x^3 - x^2)^(1/3)*x)*(108*sqrt(-1/1944*I) - I + 3) + 4*(2*4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) - 4*4^(2/3)*(x^3 - x^2)^(1/3)*x - (4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) - 2*4^(2/3)*(x^3 - x^2)^(1/3)*x)*(108*sqrt(-1/1944*I) - I + 3))*sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2))*(27*sqrt(1/1944*I) + 27*sqrt(-1/1944*I) - sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2) - 3/2)^(1/3) + 64*(x^3 - x^2)^(2/3))/x^2) - 8*(4^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*(108*sqrt(1/1944*I) + I + 3)^2 - (4^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*(108*sqrt(1/1944*I) + I + 3) - 4^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3))*(108*sqrt(-1/1944*I) - I + 3)^2 - 12*4^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*(108*sqrt(1/1944*I) + I + 3) - (4^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*(108*sqrt(1/1944*I) + I + 3)^2 - 12*4^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*(108*sqrt(1/1944*I) + I + 3) + 12*4^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3))*(108*sqrt(-1/1944*I) - I + 3) + 4*(4^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*(108*sqrt(1/1944*I) + I + 3) - (4^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*(108*sqrt(1/1944*I) + I + 3) - 4^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3))*(108*sqrt(-1/1944*I) - I + 3))*sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2))*(27*sqrt(1/1944*I) + 27*sqrt(-1/1944*I) - sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2) - 3/2)^(2/3) + 128*sqrt(3)*x)/x) + 1/24*sqrt(3)*2^(2/3)*log(32*(2*2^(1/3)*x^2 - (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + 2^(2/3)*x) + 2*(x^3 - x^2)^(2/3))/x^2) + 1/24*sqrt(3)*2^(2/3)*log(8*(2*2^(1/3)*x^2 - (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + 2^(2/3)*x) + 2*(x^3 - x^2)^(2/3))/x^2) - 1/24*sqrt(3)*2^(2/3)*log(32*(2*2^(1/3)*x^2 + (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2^(2/3)*x) + 2*(x^3 - x^2)^(2/3))/x^2) - 1/24*sqrt(3)*2^(2/3)*log(8*(2*2^(1/3)*x^2 + (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2^(2/3)*x) + 2*(x^3 - x^2)^(2/3))/x^2) + 1/12*4^(2/3)*(27*sqrt(1/1944*I) + 27*sqrt(-1/1944*I) + sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2) - 3/2)^(1/3)*log(1/16*((2*4^(2/3)*x*(108*sqrt(1/1944*I) + I + 3)^2 - (4^(2/3)*x*(108*sqrt(1/1944*I) + I + 3) - 2*4^(2/3)*x)*(108*sqrt(-1/1944*I) - I + 3)^2 - 20*4^(2/3)*x*(108*sqrt(1/1944*I) + I + 3) - (4^(2/3)*x*(108*sqrt(1/1944*I) + I + 3)^2 - 12*4^(2/3)*x*(108*sqrt(1/1944*I) + I + 3) + 20*4^(2/3)*x)*(108*sqrt(-1/1944*I) - I + 3) + 48*4^(2/3)*x - 4*(2*4^(2/3)*x*(108*sqrt(1/1944*I) + I + 3) - (4^(2/3)*x*(108*sqrt(1/1944*I) + I + 3) - 2*4^(2/3)*x)*(108*sqrt(-1/1944*I) - I + 3) - 4*4^(2/3)*x)*sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2))*(27*sqrt(1/1944*I) + 27*sqrt(-1/1944*I) + sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2) - 3/2)^(1/3) + 64*(x^3 - x^2)^(1/3))/x) + 1/12*4^(2/3)*(27*sqrt(1/1944*I) + 27*sqrt(-1/1944*I) - sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2) - 3/2)^(1/3)*log(1/16*((2*4^(2/3)*x*(108*sqrt(1/1944*I) + I + 3)^2 - (4^(2/3)*x*(108*sqrt(1/1944*I) + I + 3) - 2*4^(2/3)*x)*(108*sqrt(-1/1944*I) - I + 3)^2 - 20*4^(2/3)*x*(108*sqrt(1/1944*I) + I + 3) - (4^(2/3)*x*(108*sqrt(1/1944*I) + I + 3)^2 - 12*4^(2/3)*x*(108*sqrt(1/1944*I) + I + 3) + 20*4^(2/3)*x)*(108*sqrt(-1/1944*I) - I + 3) + 48*4^(2/3)*x + 4*(2*4^(2/3)*x*(108*sqrt(1/1944*I) + I + 3) - (4^(2/3)*x*(108*sqrt(1/1944*I) + I + 3) - 2*4^(2/3)*x)*(108*sqrt(-1/1944*I) - I + 3) - 4*4^(2/3)*x)*sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2))*(27*sqrt(1/1944*I) + 27*sqrt(-1/1944*I) - sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2) - 3/2)^(1/3) + 64*(x^3 - x^2)^(1/3))/x) - 1/24*4^(2/3)*(27*sqrt(1/1944*I) + 27*sqrt(-1/1944*I) + sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2) - 3/2)^(1/3)*log((2*(4^(1/3)*x^2*(108*sqrt(1/1944*I) + I + 3)^2 + 4^(1/3)*x^2*(108*sqrt(-1/1944*I) - I + 3)^2 - 8*4^(1/3)*x^2*(108*sqrt(1/1944*I) + I + 3) - 8*4^(1/3)*x^2*(108*sqrt(-1/1944*I) - I + 3) + 32*4^(1/3)*x^2 - 4*(4^(1/3)*x^2*(108*sqrt(1/1944*I) + I + 3) + 4^(1/3)*x^2*(108*sqrt(-1/1944*I) - I + 3) - 4*4^(1/3)*x^2)*sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2))*(27*sqrt(1/1944*I) + 27*sqrt(-1/1944*I) + sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2) - 3/2)^(2/3) - (2*4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3)^2 - 20*4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) - (4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) - 2*4^(2/3)*(x^3 - x^2)^(1/3)*x)*(108*sqrt(-1/1944*I) - I + 3)^2 + 48*4^(2/3)*(x^3 - x^2)^(1/3)*x - (4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3)^2 - 12*4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) + 20*4^(2/3)*(x^3 - x^2)^(1/3)*x)*(108*sqrt(-1/1944*I) - I + 3) - 4*(2*4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) - 4*4^(2/3)*(x^3 - x^2)^(1/3)*x - (4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) - 2*4^(2/3)*(x^3 - x^2)^(1/3)*x)*(108*sqrt(-1/1944*I) - I + 3))*sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2))*(27*sqrt(1/1944*I) + 27*sqrt(-1/1944*I) + sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2) - 3/2)^(1/3) + 64*(x^3 - x^2)^(2/3))/x^2) - 1/24*4^(2/3)*(27*sqrt(1/1944*I) + 27*sqrt(-1/1944*I) - sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2) - 3/2)^(1/3)*log((2*(4^(1/3)*x^2*(108*sqrt(1/1944*I) + I + 3)^2 + 4^(1/3)*x^2*(108*sqrt(-1/1944*I) - I + 3)^2 - 8*4^(1/3)*x^2*(108*sqrt(1/1944*I) + I + 3) - 8*4^(1/3)*x^2*(108*sqrt(-1/1944*I) - I + 3) + 32*4^(1/3)*x^2 + 4*(4^(1/3)*x^2*(108*sqrt(1/1944*I) + I + 3) + 4^(1/3)*x^2*(108*sqrt(-1/1944*I) - I + 3) - 4*4^(1/3)*x^2)*sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2))*(27*sqrt(1/1944*I) + 27*sqrt(-1/1944*I) - sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2) - 3/2)^(2/3) - (2*4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3)^2 - 20*4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) - (4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) - 2*4^(2/3)*(x^3 - x^2)^(1/3)*x)*(108*sqrt(-1/1944*I) - I + 3)^2 + 48*4^(2/3)*(x^3 - x^2)^(1/3)*x - (4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3)^2 - 12*4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) + 20*4^(2/3)*(x^3 - x^2)^(1/3)*x)*(108*sqrt(-1/1944*I) - I + 3) + 4*(2*4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) - 4*4^(2/3)*(x^3 - x^2)^(1/3)*x - (4^(2/3)*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) - 2*4^(2/3)*(x^3 - x^2)^(1/3)*x)*(108*sqrt(-1/1944*I) - I + 3))*sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2))*(27*sqrt(1/1944*I) + 27*sqrt(-1/1944*I) - sqrt(-3/16*(108*sqrt(1/1944*I) + I + 3)^2 - 1/8*(108*sqrt(1/1944*I) + I - 9)*(108*sqrt(-1/1944*I) - I + 3) - 3/16*(108*sqrt(-1/1944*I) - I + 3)^2 + 162*sqrt(1/1944*I) + 3/2*I - 1/2) - 3/2)^(1/3) + 64*(x^3 - x^2)^(2/3))/x^2) - 2*sqrt(3)*(-1/2*sqrt(1/1944*I) - 1/216*I - 1/72)^(1/3)*arctan(-1/12*(9*sqrt(1/2)*(sqrt(3)*x*(108*sqrt(1/1944*I) + I + 3)^3 - 11*sqrt(3)*x*(108*sqrt(1/1944*I) + I + 3)^2 + 44*sqrt(3)*x*(108*sqrt(1/1944*I) + I + 3) - 40*sqrt(3)*x)*(-1/2*sqrt(1/1944*I) - 1/216*I - 1/72)^(2/3)*sqrt(-(18*(x^2*(108*sqrt(1/1944*I) + I + 3)^2 - 8*x^2*(108*sqrt(1/1944*I) + I + 3) + 16*x^2)*(-1/2*sqrt(1/1944*I) - 1/216*I - 1/72)^(2/3) - 3*((x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3)^3 - 10*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3)^2 + 36*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) - 32*(x^3 - x^2)^(1/3)*x)*(-1/2*sqrt(1/1944*I) - 1/216*I - 1/72)^(1/3) - 8*(x^3 - x^2)^(2/3))/x^2) - 18*(sqrt(3)*(x^3 - x^2)^(1/3)*(108*sqrt(1/1944*I) + I + 3)^3 - 11*sqrt(3)*(x^3 - x^2)^(1/3)*(108*sqrt(1/1944*I) + I + 3)^2 + 44*sqrt(3)*(x^3 - x^2)^(1/3)*(108*sqrt(1/1944*I) + I + 3) - 40*sqrt(3)*(x^3 - x^2)^(1/3))*(-1/2*sqrt(1/1944*I) - 1/216*I - 1/72)^(2/3) - 4*sqrt(3)*x)/x) + 2*sqrt(3)*(-1/2*sqrt(-1/1944*I) + 1/216*I - 1/72)^(1/3)*arctan(-1/12*(9*sqrt(1/2)*(sqrt(3)*x*(108*sqrt(1/1944*I) + I + 3)^3 - 12*sqrt(3)*x*(108*sqrt(1/1944*I) + I + 3)^2 + (sqrt(3)*x*(108*sqrt(1/1944*I) + I + 3) - sqrt(3)*x)*(108*sqrt(-1/1944*I) - I + 3)^2 + 56*sqrt(3)*x*(108*sqrt(1/1944*I) + I + 3) + (sqrt(3)*x*(108*sqrt(1/1944*I) + I + 3)^2 - 12*sqrt(3)*x*(108*sqrt(1/1944*I) + I + 3) + 12*sqrt(3)*x)*(108*sqrt(-1/1944*I) - I + 3) - 56*sqrt(3)*x)*(-1/2*sqrt(-1/1944*I) + 1/216*I - 1/72)^(2/3)*sqrt(-(18*(x^2*(108*sqrt(-1/1944*I) - I + 3)^2 - 8*x^2*(108*sqrt(-1/1944*I) - I + 3) + 16*x^2)*(-1/2*sqrt(-1/1944*I) + 1/216*I - 1/72)^(2/3) + 3*((x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3)^3 - 12*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3)^2 + ((x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) - 2*(x^3 - x^2)^(1/3)*x)*(108*sqrt(-1/1944*I) - I + 3)^2 + 56*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) + ((x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3)^2 - 12*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) + 20*(x^3 - x^2)^(1/3)*x)*(108*sqrt(-1/1944*I) - I + 3) - 64*(x^3 - x^2)^(1/3)*x)*(-1/2*sqrt(-1/1944*I) + 1/216*I - 1/72)^(1/3) - 8*(x^3 - x^2)^(2/3))/x^2) - 18*(sqrt(3)*(x^3 - x^2)^(1/3)*(108*sqrt(1/1944*I) + I + 3)^3 + (sqrt(3)*(x^3 - x^2)^(1/3)*(108*sqrt(1/1944*I) + I + 3) - sqrt(3)*(x^3 - x^2)^(1/3))*(108*sqrt(-1/1944*I) - I + 3)^2 - 12*sqrt(3)*(x^3 - x^2)^(1/3)*(108*sqrt(1/1944*I) + I + 3)^2 + (sqrt(3)*(x^3 - x^2)^(1/3)*(108*sqrt(1/1944*I) + I + 3)^2 - 12*sqrt(3)*(x^3 - x^2)^(1/3)*(108*sqrt(1/1944*I) + I + 3) + 12*sqrt(3)*(x^3 - x^2)^(1/3))*(108*sqrt(-1/1944*I) - I + 3) + 56*sqrt(3)*(x^3 - x^2)^(1/3)*(108*sqrt(1/1944*I) + I + 3) - 56*sqrt(3)*(x^3 - x^2)^(1/3))*(-1/2*sqrt(-1/1944*I) + 1/216*I - 1/72)^(2/3) + 4*sqrt(3)*x)/x) - 1/3*2^(2/3)*arctan(1/2*(sqrt(2)*(sqrt(3)*2^(1/3)*x + 2^(1/3)*x)*sqrt((2*2^(1/3)*x^2 - (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x + 2^(2/3)*x) + 2*(x^3 - x^2)^(2/3))/x^2) + 2*sqrt(3)*x - 2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(1/3) + 2^(1/3)) + 4*x)/x) + 1/3*2^(2/3)*arctan(1/2*(sqrt(2)*(sqrt(3)*2^(1/3)*x - 2^(1/3)*x)*sqrt((2*2^(1/3)*x^2 + (x^3 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*x - 2^(2/3)*x) + 2*(x^3 - x^2)^(2/3))/x^2) + 2*sqrt(3)*x - 2*(x^3 - x^2)^(1/3)*(sqrt(3)*2^(1/3) - 2^(1/3)) - 4*x)/x) + 2/3*2^(2/3)*arctan((2^(1/3)*x*sqrt((2^(1/3)*x^2 + 2^(2/3)*(x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(2/3))/x^2) - x - 2^(1/3)*(x^3 - x^2)^(1/3))/x) + (-1/2*sqrt(1/1944*I) - 1/216*I - 1/72)^(1/3)*log(-1/8*(3*(x*(108*sqrt(1/1944*I) + I + 3)^3 - 10*x*(108*sqrt(1/1944*I) + I + 3)^2 + 36*x*(108*sqrt(1/1944*I) + I + 3) - 32*x)*(-1/2*sqrt(1/1944*I) - 1/216*I - 1/72)^(1/3) - 8*(x^3 - x^2)^(1/3))/x) + (-1/2*sqrt(-1/1944*I) + 1/216*I - 1/72)^(1/3)*log(1/8*(3*(x*(108*sqrt(1/1944*I) + I + 3)^3 - 12*x*(108*sqrt(1/1944*I) + I + 3)^2 + (x*(108*sqrt(1/1944*I) + I + 3) - 2*x)*(108*sqrt(-1/1944*I) - I + 3)^2 + 56*x*(108*sqrt(1/1944*I) + I + 3) + (x*(108*sqrt(1/1944*I) + I + 3)^2 - 12*x*(108*sqrt(1/1944*I) + I + 3) + 20*x)*(108*sqrt(-1/1944*I) - I + 3) - 64*x)*(-1/2*sqrt(-1/1944*I) + 1/216*I - 1/72)^(1/3) + 8*(x^3 - x^2)^(1/3))/x) - 1/2*(-1/2*sqrt(1/1944*I) - 1/216*I - 1/72)^(1/3)*log(-1/8*(18*(x^2*(108*sqrt(1/1944*I) + I + 3)^2 - 8*x^2*(108*sqrt(1/1944*I) + I + 3) + 16*x^2)*(-1/2*sqrt(1/1944*I) - 1/216*I - 1/72)^(2/3) - 3*((x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3)^3 - 10*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3)^2 + 36*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) - 32*(x^3 - x^2)^(1/3)*x)*(-1/2*sqrt(1/1944*I) - 1/216*I - 1/72)^(1/3) - 8*(x^3 - x^2)^(2/3))/x^2) - 1/2*(-1/2*sqrt(-1/1944*I) + 1/216*I - 1/72)^(1/3)*log(-1/8*(18*(x^2*(108*sqrt(-1/1944*I) - I + 3)^2 - 8*x^2*(108*sqrt(-1/1944*I) - I + 3) + 16*x^2)*(-1/2*sqrt(-1/1944*I) + 1/216*I - 1/72)^(2/3) + 3*((x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3)^3 - 12*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3)^2 + ((x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) - 2*(x^3 - x^2)^(1/3)*x)*(108*sqrt(-1/1944*I) - I + 3)^2 + 56*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) + ((x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3)^2 - 12*(x^3 - x^2)^(1/3)*x*(108*sqrt(1/1944*I) + I + 3) + 20*(x^3 - x^2)^(1/3)*x)*(108*sqrt(-1/1944*I) - I + 3) - 64*(x^3 - x^2)^(1/3)*x)*(-1/2*sqrt(-1/1944*I) + 1/216*I - 1/72)^(1/3) - 8*(x^3 - x^2)^(2/3))/x^2)","B",0
2644,-1,0,0,0.000000," ","integrate((a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(c*x^2+d)/(a^2*x^4+b)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2645,-1,0,0,0.000000," ","integrate((a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(c*x^2+d)/(a^2*x^4+b)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2646,-1,0,0,0.000000," ","integrate((a*x+(a^2*x^2+b)^(1/2))^(1/2)*(c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2)/(a^2*x^2+b)^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2647,-1,0,0,0.000000," ","integrate((a*x+(a^2*x^2+b)^(1/2))^(1/2)*(c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2)/(a^2*x^2+b)^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2648,1,1793,0,2.042743," ","integrate((a*k*x+k*x^2+1)/(k*x^2-1)/((-x^2+1)*(-k^2*x^2+1))^(1/2),x, algorithm=""fricas"")","-\frac{1}{8} \, \sqrt{-\frac{a^{2} k + 4 \, \sqrt{\frac{a^{2} k}{k^{4} - 4 \, k^{3} + 6 \, k^{2} - 4 \, k + 1}} {\left(k^{2} - 2 \, k + 1\right)} + 4}{k^{2} - 2 \, k + 1}} \log\left(-\frac{2 \, {\left(\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1} {\left(a^{3} k + {\left(a^{3} k^{2} - 4 \, a k\right)} x^{2} + 2 \, {\left(a^{2} k^{3} - 2 \, {\left(a^{2} + 2\right)} k^{2} + {\left(a^{2} + 8\right)} k - 4\right)} \sqrt{\frac{a^{2} k}{k^{4} - 4 \, k^{3} + 6 \, k^{2} - 4 \, k + 1}} x - 4 \, a\right)} + {\left(2 \, a^{2} k^{3} x^{4} + 2 \, {\left(a k^{3} - 2 \, a k^{2} + a k\right)} x^{3} + 2 \, a^{2} k - 2 \, {\left(a^{2} k^{3} + a^{2} k\right)} x^{2} + 2 \, {\left(a k^{2} - 2 \, a k + a\right)} x - {\left(4 \, {\left(k^{4} - 2 \, k^{3} + k^{2}\right)} x^{4} + {\left(a k^{5} - 4 \, a k^{4} + 6 \, a k^{3} - 4 \, a k^{2} + a k\right)} x^{3} - 4 \, {\left(k^{4} - 2 \, k^{3} + 2 \, k^{2} - 2 \, k + 1\right)} x^{2} + 4 \, k^{2} + {\left(a k^{4} - 4 \, a k^{3} + 6 \, a k^{2} - 4 \, a k + a\right)} x - 8 \, k + 4\right)} \sqrt{\frac{a^{2} k}{k^{4} - 4 \, k^{3} + 6 \, k^{2} - 4 \, k + 1}}\right)} \sqrt{-\frac{a^{2} k + 4 \, \sqrt{\frac{a^{2} k}{k^{4} - 4 \, k^{3} + 6 \, k^{2} - 4 \, k + 1}} {\left(k^{2} - 2 \, k + 1\right)} + 4}{k^{2} - 2 \, k + 1}}\right)}}{k^{2} x^{4} - 2 \, k x^{2} + 1}\right) + \frac{1}{8} \, \sqrt{-\frac{a^{2} k + 4 \, \sqrt{\frac{a^{2} k}{k^{4} - 4 \, k^{3} + 6 \, k^{2} - 4 \, k + 1}} {\left(k^{2} - 2 \, k + 1\right)} + 4}{k^{2} - 2 \, k + 1}} \log\left(-\frac{2 \, {\left(\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1} {\left(a^{3} k + {\left(a^{3} k^{2} - 4 \, a k\right)} x^{2} + 2 \, {\left(a^{2} k^{3} - 2 \, {\left(a^{2} + 2\right)} k^{2} + {\left(a^{2} + 8\right)} k - 4\right)} \sqrt{\frac{a^{2} k}{k^{4} - 4 \, k^{3} + 6 \, k^{2} - 4 \, k + 1}} x - 4 \, a\right)} - {\left(2 \, a^{2} k^{3} x^{4} + 2 \, {\left(a k^{3} - 2 \, a k^{2} + a k\right)} x^{3} + 2 \, a^{2} k - 2 \, {\left(a^{2} k^{3} + a^{2} k\right)} x^{2} + 2 \, {\left(a k^{2} - 2 \, a k + a\right)} x - {\left(4 \, {\left(k^{4} - 2 \, k^{3} + k^{2}\right)} x^{4} + {\left(a k^{5} - 4 \, a k^{4} + 6 \, a k^{3} - 4 \, a k^{2} + a k\right)} x^{3} - 4 \, {\left(k^{4} - 2 \, k^{3} + 2 \, k^{2} - 2 \, k + 1\right)} x^{2} + 4 \, k^{2} + {\left(a k^{4} - 4 \, a k^{3} + 6 \, a k^{2} - 4 \, a k + a\right)} x - 8 \, k + 4\right)} \sqrt{\frac{a^{2} k}{k^{4} - 4 \, k^{3} + 6 \, k^{2} - 4 \, k + 1}}\right)} \sqrt{-\frac{a^{2} k + 4 \, \sqrt{\frac{a^{2} k}{k^{4} - 4 \, k^{3} + 6 \, k^{2} - 4 \, k + 1}} {\left(k^{2} - 2 \, k + 1\right)} + 4}{k^{2} - 2 \, k + 1}}\right)}}{k^{2} x^{4} - 2 \, k x^{2} + 1}\right) - \frac{1}{8} \, \sqrt{-\frac{a^{2} k - 4 \, \sqrt{\frac{a^{2} k}{k^{4} - 4 \, k^{3} + 6 \, k^{2} - 4 \, k + 1}} {\left(k^{2} - 2 \, k + 1\right)} + 4}{k^{2} - 2 \, k + 1}} \log\left(-\frac{2 \, {\left(\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1} {\left(a^{3} k + {\left(a^{3} k^{2} - 4 \, a k\right)} x^{2} - 2 \, {\left(a^{2} k^{3} - 2 \, {\left(a^{2} + 2\right)} k^{2} + {\left(a^{2} + 8\right)} k - 4\right)} \sqrt{\frac{a^{2} k}{k^{4} - 4 \, k^{3} + 6 \, k^{2} - 4 \, k + 1}} x - 4 \, a\right)} + {\left(2 \, a^{2} k^{3} x^{4} + 2 \, {\left(a k^{3} - 2 \, a k^{2} + a k\right)} x^{3} + 2 \, a^{2} k - 2 \, {\left(a^{2} k^{3} + a^{2} k\right)} x^{2} + 2 \, {\left(a k^{2} - 2 \, a k + a\right)} x + {\left(4 \, {\left(k^{4} - 2 \, k^{3} + k^{2}\right)} x^{4} + {\left(a k^{5} - 4 \, a k^{4} + 6 \, a k^{3} - 4 \, a k^{2} + a k\right)} x^{3} - 4 \, {\left(k^{4} - 2 \, k^{3} + 2 \, k^{2} - 2 \, k + 1\right)} x^{2} + 4 \, k^{2} + {\left(a k^{4} - 4 \, a k^{3} + 6 \, a k^{2} - 4 \, a k + a\right)} x - 8 \, k + 4\right)} \sqrt{\frac{a^{2} k}{k^{4} - 4 \, k^{3} + 6 \, k^{2} - 4 \, k + 1}}\right)} \sqrt{-\frac{a^{2} k - 4 \, \sqrt{\frac{a^{2} k}{k^{4} - 4 \, k^{3} + 6 \, k^{2} - 4 \, k + 1}} {\left(k^{2} - 2 \, k + 1\right)} + 4}{k^{2} - 2 \, k + 1}}\right)}}{k^{2} x^{4} - 2 \, k x^{2} + 1}\right) + \frac{1}{8} \, \sqrt{-\frac{a^{2} k - 4 \, \sqrt{\frac{a^{2} k}{k^{4} - 4 \, k^{3} + 6 \, k^{2} - 4 \, k + 1}} {\left(k^{2} - 2 \, k + 1\right)} + 4}{k^{2} - 2 \, k + 1}} \log\left(-\frac{2 \, {\left(\sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1} {\left(a^{3} k + {\left(a^{3} k^{2} - 4 \, a k\right)} x^{2} - 2 \, {\left(a^{2} k^{3} - 2 \, {\left(a^{2} + 2\right)} k^{2} + {\left(a^{2} + 8\right)} k - 4\right)} \sqrt{\frac{a^{2} k}{k^{4} - 4 \, k^{3} + 6 \, k^{2} - 4 \, k + 1}} x - 4 \, a\right)} - {\left(2 \, a^{2} k^{3} x^{4} + 2 \, {\left(a k^{3} - 2 \, a k^{2} + a k\right)} x^{3} + 2 \, a^{2} k - 2 \, {\left(a^{2} k^{3} + a^{2} k\right)} x^{2} + 2 \, {\left(a k^{2} - 2 \, a k + a\right)} x + {\left(4 \, {\left(k^{4} - 2 \, k^{3} + k^{2}\right)} x^{4} + {\left(a k^{5} - 4 \, a k^{4} + 6 \, a k^{3} - 4 \, a k^{2} + a k\right)} x^{3} - 4 \, {\left(k^{4} - 2 \, k^{3} + 2 \, k^{2} - 2 \, k + 1\right)} x^{2} + 4 \, k^{2} + {\left(a k^{4} - 4 \, a k^{3} + 6 \, a k^{2} - 4 \, a k + a\right)} x - 8 \, k + 4\right)} \sqrt{\frac{a^{2} k}{k^{4} - 4 \, k^{3} + 6 \, k^{2} - 4 \, k + 1}}\right)} \sqrt{-\frac{a^{2} k - 4 \, \sqrt{\frac{a^{2} k}{k^{4} - 4 \, k^{3} + 6 \, k^{2} - 4 \, k + 1}} {\left(k^{2} - 2 \, k + 1\right)} + 4}{k^{2} - 2 \, k + 1}}\right)}}{k^{2} x^{4} - 2 \, k x^{2} + 1}\right)"," ",0,"-1/8*sqrt(-(a^2*k + 4*sqrt(a^2*k/(k^4 - 4*k^3 + 6*k^2 - 4*k + 1))*(k^2 - 2*k + 1) + 4)/(k^2 - 2*k + 1))*log(-2*(sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)*(a^3*k + (a^3*k^2 - 4*a*k)*x^2 + 2*(a^2*k^3 - 2*(a^2 + 2)*k^2 + (a^2 + 8)*k - 4)*sqrt(a^2*k/(k^4 - 4*k^3 + 6*k^2 - 4*k + 1))*x - 4*a) + (2*a^2*k^3*x^4 + 2*(a*k^3 - 2*a*k^2 + a*k)*x^3 + 2*a^2*k - 2*(a^2*k^3 + a^2*k)*x^2 + 2*(a*k^2 - 2*a*k + a)*x - (4*(k^4 - 2*k^3 + k^2)*x^4 + (a*k^5 - 4*a*k^4 + 6*a*k^3 - 4*a*k^2 + a*k)*x^3 - 4*(k^4 - 2*k^3 + 2*k^2 - 2*k + 1)*x^2 + 4*k^2 + (a*k^4 - 4*a*k^3 + 6*a*k^2 - 4*a*k + a)*x - 8*k + 4)*sqrt(a^2*k/(k^4 - 4*k^3 + 6*k^2 - 4*k + 1)))*sqrt(-(a^2*k + 4*sqrt(a^2*k/(k^4 - 4*k^3 + 6*k^2 - 4*k + 1))*(k^2 - 2*k + 1) + 4)/(k^2 - 2*k + 1)))/(k^2*x^4 - 2*k*x^2 + 1)) + 1/8*sqrt(-(a^2*k + 4*sqrt(a^2*k/(k^4 - 4*k^3 + 6*k^2 - 4*k + 1))*(k^2 - 2*k + 1) + 4)/(k^2 - 2*k + 1))*log(-2*(sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)*(a^3*k + (a^3*k^2 - 4*a*k)*x^2 + 2*(a^2*k^3 - 2*(a^2 + 2)*k^2 + (a^2 + 8)*k - 4)*sqrt(a^2*k/(k^4 - 4*k^3 + 6*k^2 - 4*k + 1))*x - 4*a) - (2*a^2*k^3*x^4 + 2*(a*k^3 - 2*a*k^2 + a*k)*x^3 + 2*a^2*k - 2*(a^2*k^3 + a^2*k)*x^2 + 2*(a*k^2 - 2*a*k + a)*x - (4*(k^4 - 2*k^3 + k^2)*x^4 + (a*k^5 - 4*a*k^4 + 6*a*k^3 - 4*a*k^2 + a*k)*x^3 - 4*(k^4 - 2*k^3 + 2*k^2 - 2*k + 1)*x^2 + 4*k^2 + (a*k^4 - 4*a*k^3 + 6*a*k^2 - 4*a*k + a)*x - 8*k + 4)*sqrt(a^2*k/(k^4 - 4*k^3 + 6*k^2 - 4*k + 1)))*sqrt(-(a^2*k + 4*sqrt(a^2*k/(k^4 - 4*k^3 + 6*k^2 - 4*k + 1))*(k^2 - 2*k + 1) + 4)/(k^2 - 2*k + 1)))/(k^2*x^4 - 2*k*x^2 + 1)) - 1/8*sqrt(-(a^2*k - 4*sqrt(a^2*k/(k^4 - 4*k^3 + 6*k^2 - 4*k + 1))*(k^2 - 2*k + 1) + 4)/(k^2 - 2*k + 1))*log(-2*(sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)*(a^3*k + (a^3*k^2 - 4*a*k)*x^2 - 2*(a^2*k^3 - 2*(a^2 + 2)*k^2 + (a^2 + 8)*k - 4)*sqrt(a^2*k/(k^4 - 4*k^3 + 6*k^2 - 4*k + 1))*x - 4*a) + (2*a^2*k^3*x^4 + 2*(a*k^3 - 2*a*k^2 + a*k)*x^3 + 2*a^2*k - 2*(a^2*k^3 + a^2*k)*x^2 + 2*(a*k^2 - 2*a*k + a)*x + (4*(k^4 - 2*k^3 + k^2)*x^4 + (a*k^5 - 4*a*k^4 + 6*a*k^3 - 4*a*k^2 + a*k)*x^3 - 4*(k^4 - 2*k^3 + 2*k^2 - 2*k + 1)*x^2 + 4*k^2 + (a*k^4 - 4*a*k^3 + 6*a*k^2 - 4*a*k + a)*x - 8*k + 4)*sqrt(a^2*k/(k^4 - 4*k^3 + 6*k^2 - 4*k + 1)))*sqrt(-(a^2*k - 4*sqrt(a^2*k/(k^4 - 4*k^3 + 6*k^2 - 4*k + 1))*(k^2 - 2*k + 1) + 4)/(k^2 - 2*k + 1)))/(k^2*x^4 - 2*k*x^2 + 1)) + 1/8*sqrt(-(a^2*k - 4*sqrt(a^2*k/(k^4 - 4*k^3 + 6*k^2 - 4*k + 1))*(k^2 - 2*k + 1) + 4)/(k^2 - 2*k + 1))*log(-2*(sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)*(a^3*k + (a^3*k^2 - 4*a*k)*x^2 - 2*(a^2*k^3 - 2*(a^2 + 2)*k^2 + (a^2 + 8)*k - 4)*sqrt(a^2*k/(k^4 - 4*k^3 + 6*k^2 - 4*k + 1))*x - 4*a) - (2*a^2*k^3*x^4 + 2*(a*k^3 - 2*a*k^2 + a*k)*x^3 + 2*a^2*k - 2*(a^2*k^3 + a^2*k)*x^2 + 2*(a*k^2 - 2*a*k + a)*x + (4*(k^4 - 2*k^3 + k^2)*x^4 + (a*k^5 - 4*a*k^4 + 6*a*k^3 - 4*a*k^2 + a*k)*x^3 - 4*(k^4 - 2*k^3 + 2*k^2 - 2*k + 1)*x^2 + 4*k^2 + (a*k^4 - 4*a*k^3 + 6*a*k^2 - 4*a*k + a)*x - 8*k + 4)*sqrt(a^2*k/(k^4 - 4*k^3 + 6*k^2 - 4*k + 1)))*sqrt(-(a^2*k - 4*sqrt(a^2*k/(k^4 - 4*k^3 + 6*k^2 - 4*k + 1))*(k^2 - 2*k + 1) + 4)/(k^2 - 2*k + 1)))/(k^2*x^4 - 2*k*x^2 + 1))","B",0
2649,-1,0,0,0.000000," ","integrate((3*k+(-k^2+2)*x-3*k*x^2-k^2*x^3)/((-x^2+1)*(-k^2*x^2+1))^(1/3)/(1-d-(1+2*d)*k*x+(-d*k^2-1)*x^2+k*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2650,-1,0,0,0.000000," ","integrate((3*k+(k^2-2)*x-3*k*x^2+k^2*x^3)/((-x^2+1)*(-k^2*x^2+1))^(1/3)/(-1+d-(1+2*d)*k*x+(d*k^2+1)*x^2+k*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2651,1,940,0,0.776343," ","integrate((a*x^4-b*x^3)^(1/4)/(c*x^2+d),x, algorithm=""fricas"")","-2 \, \left(\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} + a}{c^{4}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(c^{7} d x \sqrt{-\frac{b^{2}}{c^{7} d}} - a c^{3} d x\right)} \sqrt{\frac{c^{2} x^{2} \sqrt{\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} + a}{c^{4}}} + \sqrt{a x^{4} - b x^{3}}}{x^{2}}} \left(\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} + a}{c^{4}}\right)^{\frac{3}{4}} - {\left(c^{7} d \sqrt{-\frac{b^{2}}{c^{7} d}} - a c^{3} d\right)} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} \left(\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} + a}{c^{4}}\right)^{\frac{3}{4}}}{{\left(b^{2} c + a^{2} d\right)} x}\right) + 2 \, \left(-\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} - a}{c^{4}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(c^{7} d x \sqrt{-\frac{b^{2}}{c^{7} d}} + a c^{3} d x\right)} \sqrt{\frac{c^{2} x^{2} \sqrt{-\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} - a}{c^{4}}} + \sqrt{a x^{4} - b x^{3}}}{x^{2}}} \left(-\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} - a}{c^{4}}\right)^{\frac{3}{4}} - {\left(c^{7} d \sqrt{-\frac{b^{2}}{c^{7} d}} + a c^{3} d\right)} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} \left(-\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} - a}{c^{4}}\right)^{\frac{3}{4}}}{{\left(b^{2} c + a^{2} d\right)} x}\right) - 4 \, \left(\frac{a}{c^{4}}\right)^{\frac{1}{4}} \arctan\left(\frac{c^{3} x \sqrt{\frac{c^{2} x^{2} \sqrt{\frac{a}{c^{4}}} + \sqrt{a x^{4} - b x^{3}}}{x^{2}}} \left(\frac{a}{c^{4}}\right)^{\frac{3}{4}} - {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} c^{3} \left(\frac{a}{c^{4}}\right)^{\frac{3}{4}}}{a x}\right) - \frac{1}{2} \, \left(\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} + a}{c^{4}}\right)^{\frac{1}{4}} \log\left(\frac{c x \left(\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} + a}{c^{4}}\right)^{\frac{1}{4}} + {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \left(\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} + a}{c^{4}}\right)^{\frac{1}{4}} \log\left(-\frac{c x \left(\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} + a}{c^{4}}\right)^{\frac{1}{4}} - {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \left(-\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} - a}{c^{4}}\right)^{\frac{1}{4}} \log\left(\frac{c x \left(-\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} - a}{c^{4}}\right)^{\frac{1}{4}} + {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \left(-\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} - a}{c^{4}}\right)^{\frac{1}{4}} \log\left(-\frac{c x \left(-\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} - a}{c^{4}}\right)^{\frac{1}{4}} - {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \left(\frac{a}{c^{4}}\right)^{\frac{1}{4}} \log\left(\frac{c x \left(\frac{a}{c^{4}}\right)^{\frac{1}{4}} + {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \left(\frac{a}{c^{4}}\right)^{\frac{1}{4}} \log\left(-\frac{c x \left(\frac{a}{c^{4}}\right)^{\frac{1}{4}} - {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-2*((c^4*sqrt(-b^2/(c^7*d)) + a)/c^4)^(1/4)*arctan(((c^7*d*x*sqrt(-b^2/(c^7*d)) - a*c^3*d*x)*sqrt((c^2*x^2*sqrt((c^4*sqrt(-b^2/(c^7*d)) + a)/c^4) + sqrt(a*x^4 - b*x^3))/x^2)*((c^4*sqrt(-b^2/(c^7*d)) + a)/c^4)^(3/4) - (c^7*d*sqrt(-b^2/(c^7*d)) - a*c^3*d)*(a*x^4 - b*x^3)^(1/4)*((c^4*sqrt(-b^2/(c^7*d)) + a)/c^4)^(3/4))/((b^2*c + a^2*d)*x)) + 2*(-(c^4*sqrt(-b^2/(c^7*d)) - a)/c^4)^(1/4)*arctan(((c^7*d*x*sqrt(-b^2/(c^7*d)) + a*c^3*d*x)*sqrt((c^2*x^2*sqrt(-(c^4*sqrt(-b^2/(c^7*d)) - a)/c^4) + sqrt(a*x^4 - b*x^3))/x^2)*(-(c^4*sqrt(-b^2/(c^7*d)) - a)/c^4)^(3/4) - (c^7*d*sqrt(-b^2/(c^7*d)) + a*c^3*d)*(a*x^4 - b*x^3)^(1/4)*(-(c^4*sqrt(-b^2/(c^7*d)) - a)/c^4)^(3/4))/((b^2*c + a^2*d)*x)) - 4*(a/c^4)^(1/4)*arctan((c^3*x*sqrt((c^2*x^2*sqrt(a/c^4) + sqrt(a*x^4 - b*x^3))/x^2)*(a/c^4)^(3/4) - (a*x^4 - b*x^3)^(1/4)*c^3*(a/c^4)^(3/4))/(a*x)) - 1/2*((c^4*sqrt(-b^2/(c^7*d)) + a)/c^4)^(1/4)*log((c*x*((c^4*sqrt(-b^2/(c^7*d)) + a)/c^4)^(1/4) + (a*x^4 - b*x^3)^(1/4))/x) + 1/2*((c^4*sqrt(-b^2/(c^7*d)) + a)/c^4)^(1/4)*log(-(c*x*((c^4*sqrt(-b^2/(c^7*d)) + a)/c^4)^(1/4) - (a*x^4 - b*x^3)^(1/4))/x) - 1/2*(-(c^4*sqrt(-b^2/(c^7*d)) - a)/c^4)^(1/4)*log((c*x*(-(c^4*sqrt(-b^2/(c^7*d)) - a)/c^4)^(1/4) + (a*x^4 - b*x^3)^(1/4))/x) + 1/2*(-(c^4*sqrt(-b^2/(c^7*d)) - a)/c^4)^(1/4)*log(-(c*x*(-(c^4*sqrt(-b^2/(c^7*d)) - a)/c^4)^(1/4) - (a*x^4 - b*x^3)^(1/4))/x) + (a/c^4)^(1/4)*log((c*x*(a/c^4)^(1/4) + (a*x^4 - b*x^3)^(1/4))/x) - (a/c^4)^(1/4)*log(-(c*x*(a/c^4)^(1/4) - (a*x^4 - b*x^3)^(1/4))/x)","B",0
2652,1,940,0,0.618858," ","integrate((a*x^4-b*x^3)^(1/4)/(c*x^2+d),x, algorithm=""fricas"")","-2 \, \left(\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} + a}{c^{4}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(c^{7} d x \sqrt{-\frac{b^{2}}{c^{7} d}} - a c^{3} d x\right)} \sqrt{\frac{c^{2} x^{2} \sqrt{\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} + a}{c^{4}}} + \sqrt{a x^{4} - b x^{3}}}{x^{2}}} \left(\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} + a}{c^{4}}\right)^{\frac{3}{4}} - {\left(c^{7} d \sqrt{-\frac{b^{2}}{c^{7} d}} - a c^{3} d\right)} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} \left(\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} + a}{c^{4}}\right)^{\frac{3}{4}}}{{\left(b^{2} c + a^{2} d\right)} x}\right) + 2 \, \left(-\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} - a}{c^{4}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(c^{7} d x \sqrt{-\frac{b^{2}}{c^{7} d}} + a c^{3} d x\right)} \sqrt{\frac{c^{2} x^{2} \sqrt{-\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} - a}{c^{4}}} + \sqrt{a x^{4} - b x^{3}}}{x^{2}}} \left(-\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} - a}{c^{4}}\right)^{\frac{3}{4}} - {\left(c^{7} d \sqrt{-\frac{b^{2}}{c^{7} d}} + a c^{3} d\right)} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} \left(-\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} - a}{c^{4}}\right)^{\frac{3}{4}}}{{\left(b^{2} c + a^{2} d\right)} x}\right) - 4 \, \left(\frac{a}{c^{4}}\right)^{\frac{1}{4}} \arctan\left(\frac{c^{3} x \sqrt{\frac{c^{2} x^{2} \sqrt{\frac{a}{c^{4}}} + \sqrt{a x^{4} - b x^{3}}}{x^{2}}} \left(\frac{a}{c^{4}}\right)^{\frac{3}{4}} - {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} c^{3} \left(\frac{a}{c^{4}}\right)^{\frac{3}{4}}}{a x}\right) - \frac{1}{2} \, \left(\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} + a}{c^{4}}\right)^{\frac{1}{4}} \log\left(\frac{c x \left(\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} + a}{c^{4}}\right)^{\frac{1}{4}} + {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \left(\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} + a}{c^{4}}\right)^{\frac{1}{4}} \log\left(-\frac{c x \left(\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} + a}{c^{4}}\right)^{\frac{1}{4}} - {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \left(-\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} - a}{c^{4}}\right)^{\frac{1}{4}} \log\left(\frac{c x \left(-\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} - a}{c^{4}}\right)^{\frac{1}{4}} + {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \left(-\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} - a}{c^{4}}\right)^{\frac{1}{4}} \log\left(-\frac{c x \left(-\frac{c^{4} \sqrt{-\frac{b^{2}}{c^{7} d}} - a}{c^{4}}\right)^{\frac{1}{4}} - {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \left(\frac{a}{c^{4}}\right)^{\frac{1}{4}} \log\left(\frac{c x \left(\frac{a}{c^{4}}\right)^{\frac{1}{4}} + {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \left(\frac{a}{c^{4}}\right)^{\frac{1}{4}} \log\left(-\frac{c x \left(\frac{a}{c^{4}}\right)^{\frac{1}{4}} - {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-2*((c^4*sqrt(-b^2/(c^7*d)) + a)/c^4)^(1/4)*arctan(((c^7*d*x*sqrt(-b^2/(c^7*d)) - a*c^3*d*x)*sqrt((c^2*x^2*sqrt((c^4*sqrt(-b^2/(c^7*d)) + a)/c^4) + sqrt(a*x^4 - b*x^3))/x^2)*((c^4*sqrt(-b^2/(c^7*d)) + a)/c^4)^(3/4) - (c^7*d*sqrt(-b^2/(c^7*d)) - a*c^3*d)*(a*x^4 - b*x^3)^(1/4)*((c^4*sqrt(-b^2/(c^7*d)) + a)/c^4)^(3/4))/((b^2*c + a^2*d)*x)) + 2*(-(c^4*sqrt(-b^2/(c^7*d)) - a)/c^4)^(1/4)*arctan(((c^7*d*x*sqrt(-b^2/(c^7*d)) + a*c^3*d*x)*sqrt((c^2*x^2*sqrt(-(c^4*sqrt(-b^2/(c^7*d)) - a)/c^4) + sqrt(a*x^4 - b*x^3))/x^2)*(-(c^4*sqrt(-b^2/(c^7*d)) - a)/c^4)^(3/4) - (c^7*d*sqrt(-b^2/(c^7*d)) + a*c^3*d)*(a*x^4 - b*x^3)^(1/4)*(-(c^4*sqrt(-b^2/(c^7*d)) - a)/c^4)^(3/4))/((b^2*c + a^2*d)*x)) - 4*(a/c^4)^(1/4)*arctan((c^3*x*sqrt((c^2*x^2*sqrt(a/c^4) + sqrt(a*x^4 - b*x^3))/x^2)*(a/c^4)^(3/4) - (a*x^4 - b*x^3)^(1/4)*c^3*(a/c^4)^(3/4))/(a*x)) - 1/2*((c^4*sqrt(-b^2/(c^7*d)) + a)/c^4)^(1/4)*log((c*x*((c^4*sqrt(-b^2/(c^7*d)) + a)/c^4)^(1/4) + (a*x^4 - b*x^3)^(1/4))/x) + 1/2*((c^4*sqrt(-b^2/(c^7*d)) + a)/c^4)^(1/4)*log(-(c*x*((c^4*sqrt(-b^2/(c^7*d)) + a)/c^4)^(1/4) - (a*x^4 - b*x^3)^(1/4))/x) - 1/2*(-(c^4*sqrt(-b^2/(c^7*d)) - a)/c^4)^(1/4)*log((c*x*(-(c^4*sqrt(-b^2/(c^7*d)) - a)/c^4)^(1/4) + (a*x^4 - b*x^3)^(1/4))/x) + 1/2*(-(c^4*sqrt(-b^2/(c^7*d)) - a)/c^4)^(1/4)*log(-(c*x*(-(c^4*sqrt(-b^2/(c^7*d)) - a)/c^4)^(1/4) - (a*x^4 - b*x^3)^(1/4))/x) + (a/c^4)^(1/4)*log((c*x*(a/c^4)^(1/4) + (a*x^4 - b*x^3)^(1/4))/x) - (a/c^4)^(1/4)*log(-(c*x*(a/c^4)^(1/4) - (a*x^4 - b*x^3)^(1/4))/x)","B",0
2653,1,482,0,0.563118," ","integrate((c*x^4+d)/x/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{630 \, a^{4} b^{\frac{3}{2}} d \arctan\left(\frac{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}{\sqrt{b}}\right) + 315 \, a^{4} b^{\frac{3}{2}} d \log\left(\frac{b^{2} + \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} {\left({\left(a x - b\right)} \sqrt{b} - \sqrt{a^{2} x^{2} + b^{2}} \sqrt{b}\right)} + \sqrt{a^{2} x^{2} + b^{2}} b}{x}\right) - 2 \, {\left(35 \, a^{5} c x^{5} + a^{3} b^{2} c x^{3} - {\left(8 \, a b^{4} c - 315 \, a^{5} d\right)} x - {\left(35 \, a^{4} c x^{4} + 6 \, a^{2} b^{2} c x^{2} - 16 \, b^{4} c + 315 \, a^{4} d\right)} \sqrt{a^{2} x^{2} + b^{2}}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}{315 \, a^{4} b^{2}}, \frac{630 \, a^{4} \sqrt{-b} b d \arctan\left(\frac{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} \sqrt{-b}}{b}\right) - 315 \, a^{4} \sqrt{-b} b d \log\left(-\frac{b^{2} + \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} {\left({\left(a x + b\right)} \sqrt{-b} - \sqrt{a^{2} x^{2} + b^{2}} \sqrt{-b}\right)} - \sqrt{a^{2} x^{2} + b^{2}} b}{x}\right) - 2 \, {\left(35 \, a^{5} c x^{5} + a^{3} b^{2} c x^{3} - {\left(8 \, a b^{4} c - 315 \, a^{5} d\right)} x - {\left(35 \, a^{4} c x^{4} + 6 \, a^{2} b^{2} c x^{2} - 16 \, b^{4} c + 315 \, a^{4} d\right)} \sqrt{a^{2} x^{2} + b^{2}}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}{315 \, a^{4} b^{2}}\right]"," ",0,"[1/315*(630*a^4*b^(3/2)*d*arctan(sqrt(a*x + sqrt(a^2*x^2 + b^2))/sqrt(b)) + 315*a^4*b^(3/2)*d*log((b^2 + sqrt(a*x + sqrt(a^2*x^2 + b^2))*((a*x - b)*sqrt(b) - sqrt(a^2*x^2 + b^2)*sqrt(b)) + sqrt(a^2*x^2 + b^2)*b)/x) - 2*(35*a^5*c*x^5 + a^3*b^2*c*x^3 - (8*a*b^4*c - 315*a^5*d)*x - (35*a^4*c*x^4 + 6*a^2*b^2*c*x^2 - 16*b^4*c + 315*a^4*d)*sqrt(a^2*x^2 + b^2))*sqrt(a*x + sqrt(a^2*x^2 + b^2)))/(a^4*b^2), 1/315*(630*a^4*sqrt(-b)*b*d*arctan(sqrt(a*x + sqrt(a^2*x^2 + b^2))*sqrt(-b)/b) - 315*a^4*sqrt(-b)*b*d*log(-(b^2 + sqrt(a*x + sqrt(a^2*x^2 + b^2))*((a*x + b)*sqrt(-b) - sqrt(a^2*x^2 + b^2)*sqrt(-b)) - sqrt(a^2*x^2 + b^2)*b)/x) - 2*(35*a^5*c*x^5 + a^3*b^2*c*x^3 - (8*a*b^4*c - 315*a^5*d)*x - (35*a^4*c*x^4 + 6*a^2*b^2*c*x^2 - 16*b^4*c + 315*a^4*d)*sqrt(a^2*x^2 + b^2))*sqrt(a*x + sqrt(a^2*x^2 + b^2)))/(a^4*b^2)]","A",0
2654,1,129,0,0.505773," ","integrate((x^2+1)^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{1}{26880} \, {\left(672 \, x^{2} - 2 \, \sqrt{x^{2} + 1} {\left(336 \, x + 139\right)} - {\left(10752 \, x^{3} + 784 \, x^{2} - {\left(10752 \, x^{2} + 784 \, x + 24993\right)} \sqrt{x^{2} + 1} + 38049 \, x - 632\right)} \sqrt{x + \sqrt{x^{2} + 1}} - 1258 \, x - 1712\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \frac{263}{512} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) + \frac{263}{512} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right)"," ",0,"-1/26880*(672*x^2 - 2*sqrt(x^2 + 1)*(336*x + 139) - (10752*x^3 + 784*x^2 - (10752*x^2 + 784*x + 24993)*sqrt(x^2 + 1) + 38049*x - 632)*sqrt(x + sqrt(x^2 + 1)) - 1258*x - 1712)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 263/512*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) + 263/512*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1)","A",0
2655,1,119,0,0.502991," ","integrate((x^2+1)^(1/2)*(x+(x^2+1)^(1/2))^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{1}{55440} \, {\left(1120 \, x^{2} + 2 \, \sqrt{x^{2} + 1} {\left(560 \, x - 771\right)} - {\left(8400 \, x^{2} - 5 \, \sqrt{x^{2} + 1} {\left(5712 \, x + 565\right)} + 4105 \, x - 31736\right)} \sqrt{x + \sqrt{x^{2} + 1}} + 3078 \, x + 39568\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \frac{1}{32} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) + \frac{1}{32} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right)"," ",0,"1/55440*(1120*x^2 + 2*sqrt(x^2 + 1)*(560*x - 771) - (8400*x^2 - 5*sqrt(x^2 + 1)*(5712*x + 565) + 4105*x - 31736)*sqrt(x + sqrt(x^2 + 1)) + 3078*x + 39568)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1/32*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) + 1/32*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1)","A",0
2656,1,297,0,0.527045," ","integrate((x^4-x^3)^(1/4)/x/(a*x-b),x, algorithm=""fricas"")","\frac{4 \, a \left(-\frac{a - b}{a^{4} b}\right)^{\frac{1}{4}} \arctan\left(-\frac{a^{3} b x \sqrt{\frac{a^{2} x^{2} \sqrt{-\frac{a - b}{a^{4} b}} + \sqrt{x^{4} - x^{3}}}{x^{2}}} \left(-\frac{a - b}{a^{4} b}\right)^{\frac{3}{4}} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} a^{3} b \left(-\frac{a - b}{a^{4} b}\right)^{\frac{3}{4}}}{{\left(a - b\right)} x}\right) - a \left(-\frac{a - b}{a^{4} b}\right)^{\frac{1}{4}} \log\left(\frac{a x \left(-\frac{a - b}{a^{4} b}\right)^{\frac{1}{4}} + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + a \left(-\frac{a - b}{a^{4} b}\right)^{\frac{1}{4}} \log\left(-\frac{a x \left(-\frac{a - b}{a^{4} b}\right)^{\frac{1}{4}} - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 2 \, \arctan\left(\frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \log\left(\frac{x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \log\left(-\frac{x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right)}{a}"," ",0,"(4*a*(-(a - b)/(a^4*b))^(1/4)*arctan(-(a^3*b*x*sqrt((a^2*x^2*sqrt(-(a - b)/(a^4*b)) + sqrt(x^4 - x^3))/x^2)*(-(a - b)/(a^4*b))^(3/4) - (x^4 - x^3)^(1/4)*a^3*b*(-(a - b)/(a^4*b))^(3/4))/((a - b)*x)) - a*(-(a - b)/(a^4*b))^(1/4)*log((a*x*(-(a - b)/(a^4*b))^(1/4) + (x^4 - x^3)^(1/4))/x) + a*(-(a - b)/(a^4*b))^(1/4)*log(-(a*x*(-(a - b)/(a^4*b))^(1/4) - (x^4 - x^3)^(1/4))/x) + 2*arctan((x^4 - x^3)^(1/4)/x) + log((x + (x^4 - x^3)^(1/4))/x) - log(-(x - (x^4 - x^3)^(1/4))/x))/a","A",0
2657,-1,0,0,0.000000," ","integrate(x^3*(-2*a*b+(a+b)*x)/(x*(-a+x)*(-b+x))^(2/3)/(-a^2*b^2+2*a*b*(a+b)*x-(a^2+4*a*b+b^2)*x^2+2*(a+b)*x^3+(-1+d)*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2658,-2,0,0,0.000000," ","integrate((2*x^6+1)/(x^3+x)^(1/3)/(x^6-1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
2659,-2,0,0,0.000000," ","integrate((2*x^6+1)/(x^3+x)^(1/3)/(x^6-1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
2660,1,418,0,17.588784," ","integrate((a*x^3-4*b)*(a*x^3+b)^(1/3)/x^5/(a*x^3-2*b),x, algorithm=""fricas"")","-\frac{2 \cdot 18^{\frac{2}{3}} \sqrt{3} \left(-a\right)^{\frac{1}{3}} a x^{4} \arctan\left(\frac{4 \cdot 18^{\frac{2}{3}} \sqrt{3} {\left(4 \, a^{2} x^{7} - 7 \, a b x^{4} - 2 \, b^{2} x\right)} {\left(a x^{3} + b\right)}^{\frac{2}{3}} \left(-a\right)^{\frac{1}{3}} + 6 \cdot 18^{\frac{1}{3}} \sqrt{3} {\left(55 \, a^{2} x^{8} + 50 \, a b x^{5} + 4 \, b^{2} x^{2}\right)} {\left(a x^{3} + b\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{2}{3}} + \sqrt{3} {\left(377 \, a^{3} x^{9} + 600 \, a^{2} b x^{6} + 204 \, a b^{2} x^{3} + 8 \, b^{3}\right)}}{3 \, {\left(487 \, a^{3} x^{9} + 480 \, a^{2} b x^{6} + 12 \, a b^{2} x^{3} - 8 \, b^{3}\right)}}\right) - 2 \cdot 18^{\frac{2}{3}} \left(-a\right)^{\frac{1}{3}} a x^{4} \log\left(-\frac{3 \cdot 18^{\frac{2}{3}} {\left(a x^{3} + b\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{1}{3}} a x^{2} + 18 \, {\left(a x^{3} + b\right)}^{\frac{2}{3}} a x + 18^{\frac{1}{3}} {\left(a x^{3} - 2 \, b\right)} \left(-a\right)^{\frac{2}{3}}}{18 \, {\left(a x^{3} - 2 \, b\right)}}\right) + 18^{\frac{2}{3}} \left(-a\right)^{\frac{1}{3}} a x^{4} \log\left(\frac{36 \cdot 18^{\frac{1}{3}} {\left(4 \, a x^{4} + b x\right)} {\left(a x^{3} + b\right)}^{\frac{2}{3}} \left(-a\right)^{\frac{2}{3}} - 18^{\frac{2}{3}} {\left(55 \, a^{2} x^{6} + 50 \, a b x^{3} + 4 \, b^{2}\right)} \left(-a\right)^{\frac{1}{3}} + 54 \, {\left(7 \, a^{2} x^{5} + 4 \, a b x^{2}\right)} {\left(a x^{3} + b\right)}^{\frac{1}{3}}}{18 \, {\left(a^{2} x^{6} - 4 \, a b x^{3} + 4 \, b^{2}\right)}}\right) + 108 \, {\left(2 \, a x^{3} + b\right)} {\left(a x^{3} + b\right)}^{\frac{1}{3}}}{216 \, b x^{4}}"," ",0,"-1/216*(2*18^(2/3)*sqrt(3)*(-a)^(1/3)*a*x^4*arctan(1/3*(4*18^(2/3)*sqrt(3)*(4*a^2*x^7 - 7*a*b*x^4 - 2*b^2*x)*(a*x^3 + b)^(2/3)*(-a)^(1/3) + 6*18^(1/3)*sqrt(3)*(55*a^2*x^8 + 50*a*b*x^5 + 4*b^2*x^2)*(a*x^3 + b)^(1/3)*(-a)^(2/3) + sqrt(3)*(377*a^3*x^9 + 600*a^2*b*x^6 + 204*a*b^2*x^3 + 8*b^3))/(487*a^3*x^9 + 480*a^2*b*x^6 + 12*a*b^2*x^3 - 8*b^3)) - 2*18^(2/3)*(-a)^(1/3)*a*x^4*log(-1/18*(3*18^(2/3)*(a*x^3 + b)^(1/3)*(-a)^(1/3)*a*x^2 + 18*(a*x^3 + b)^(2/3)*a*x + 18^(1/3)*(a*x^3 - 2*b)*(-a)^(2/3))/(a*x^3 - 2*b)) + 18^(2/3)*(-a)^(1/3)*a*x^4*log(1/18*(36*18^(1/3)*(4*a*x^4 + b*x)*(a*x^3 + b)^(2/3)*(-a)^(2/3) - 18^(2/3)*(55*a^2*x^6 + 50*a*b*x^3 + 4*b^2)*(-a)^(1/3) + 54*(7*a^2*x^5 + 4*a*b*x^2)*(a*x^3 + b)^(1/3))/(a^2*x^6 - 4*a*b*x^3 + 4*b^2)) + 108*(2*a*x^3 + b)*(a*x^3 + b)^(1/3))/(b*x^4)","B",0
2661,-1,0,0,0.000000," ","integrate((-2*a^2*b*x+a*(3*a+2*b)*x^2-4*a*x^3+x^4)/(x^2*(-a+x)*(-b+x))^(2/3)/(-a^2*d+2*a*d*x-(b+d)*x^2+x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2662,-1,0,0,0.000000," ","integrate((-2+(1+k)*x)*(1-2*(1+k)*x+(k^2+4*k+1)*x^2-2*(k^2+k)*x^3+(k^2+a)*x^4)/x^4/((1-x)*x*(-k*x+1))^(1/3)/(1-(1+k)*x+(-b+k)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2663,1,1784,0,101.289318," ","integrate(x^6*(x^4+x)^(1/2)/(a*x^6+b),x, algorithm=""fricas"")","-\frac{a \sqrt{\frac{a^{3} \sqrt{-\frac{b}{a^{5}}} - b}{a^{3}}} \log\left(\frac{2 \, {\left({\left(9 \, a^{4} b + 73 \, a^{3} b^{2} + 279 \, a^{2} b^{3} + 567 \, a b^{4}\right)} x^{4} - {\left(a^{4} b - 12 \, a^{3} b^{2} - 120 \, a^{2} b^{3} - 216 \, a b^{4} + 243 \, b^{5}\right)} x + {\left({\left(a^{7} - 12 \, a^{6} b - 120 \, a^{5} b^{2} - 216 \, a^{4} b^{3} + 243 \, a^{3} b^{4}\right)} x^{4} + {\left(9 \, a^{6} b + 73 \, a^{5} b^{2} + 279 \, a^{4} b^{3} + 567 \, a^{3} b^{4}\right)} x\right)} \sqrt{-\frac{b}{a^{5}}}\right)} \sqrt{x^{4} + x} + {\left({\left(a^{6} - 2 \, a^{5} b - 69 \, a^{4} b^{2} - 108 \, a^{3} b^{3} + 486 \, a^{2} b^{4}\right)} x^{6} - a^{5} b + 22 \, a^{4} b^{2} + 171 \, a^{3} b^{3} + 324 \, a^{2} b^{4} + 2 \, {\left(9 \, a^{5} b + 73 \, a^{4} b^{2} + 279 \, a^{3} b^{3} + 567 \, a^{2} b^{4}\right)} x^{3} + {\left(10 \, a^{7} b + 51 \, a^{6} b^{2} + 108 \, a^{5} b^{3} + 243 \, a^{4} b^{4} - {\left(8 \, a^{8} + 95 \, a^{7} b + 450 \, a^{6} b^{2} + 891 \, a^{5} b^{3}\right)} x^{6} + 2 \, {\left(a^{8} - 12 \, a^{7} b - 120 \, a^{6} b^{2} - 216 \, a^{5} b^{3} + 243 \, a^{4} b^{4}\right)} x^{3}\right)} \sqrt{-\frac{b}{a^{5}}}\right)} \sqrt{\frac{a^{3} \sqrt{-\frac{b}{a^{5}}} - b}{a^{3}}}}{a x^{6} + b}\right) - a \sqrt{\frac{a^{3} \sqrt{-\frac{b}{a^{5}}} - b}{a^{3}}} \log\left(\frac{2 \, {\left({\left(9 \, a^{4} b + 73 \, a^{3} b^{2} + 279 \, a^{2} b^{3} + 567 \, a b^{4}\right)} x^{4} - {\left(a^{4} b - 12 \, a^{3} b^{2} - 120 \, a^{2} b^{3} - 216 \, a b^{4} + 243 \, b^{5}\right)} x + {\left({\left(a^{7} - 12 \, a^{6} b - 120 \, a^{5} b^{2} - 216 \, a^{4} b^{3} + 243 \, a^{3} b^{4}\right)} x^{4} + {\left(9 \, a^{6} b + 73 \, a^{5} b^{2} + 279 \, a^{4} b^{3} + 567 \, a^{3} b^{4}\right)} x\right)} \sqrt{-\frac{b}{a^{5}}}\right)} \sqrt{x^{4} + x} - {\left({\left(a^{6} - 2 \, a^{5} b - 69 \, a^{4} b^{2} - 108 \, a^{3} b^{3} + 486 \, a^{2} b^{4}\right)} x^{6} - a^{5} b + 22 \, a^{4} b^{2} + 171 \, a^{3} b^{3} + 324 \, a^{2} b^{4} + 2 \, {\left(9 \, a^{5} b + 73 \, a^{4} b^{2} + 279 \, a^{3} b^{3} + 567 \, a^{2} b^{4}\right)} x^{3} + {\left(10 \, a^{7} b + 51 \, a^{6} b^{2} + 108 \, a^{5} b^{3} + 243 \, a^{4} b^{4} - {\left(8 \, a^{8} + 95 \, a^{7} b + 450 \, a^{6} b^{2} + 891 \, a^{5} b^{3}\right)} x^{6} + 2 \, {\left(a^{8} - 12 \, a^{7} b - 120 \, a^{6} b^{2} - 216 \, a^{5} b^{3} + 243 \, a^{4} b^{4}\right)} x^{3}\right)} \sqrt{-\frac{b}{a^{5}}}\right)} \sqrt{\frac{a^{3} \sqrt{-\frac{b}{a^{5}}} - b}{a^{3}}}}{a x^{6} + b}\right) + a \sqrt{-\frac{a^{3} \sqrt{-\frac{b}{a^{5}}} + b}{a^{3}}} \log\left(\frac{2 \, {\left({\left(9 \, a^{4} b + 73 \, a^{3} b^{2} + 279 \, a^{2} b^{3} + 567 \, a b^{4}\right)} x^{4} - {\left(a^{4} b - 12 \, a^{3} b^{2} - 120 \, a^{2} b^{3} - 216 \, a b^{4} + 243 \, b^{5}\right)} x - {\left({\left(a^{7} - 12 \, a^{6} b - 120 \, a^{5} b^{2} - 216 \, a^{4} b^{3} + 243 \, a^{3} b^{4}\right)} x^{4} + {\left(9 \, a^{6} b + 73 \, a^{5} b^{2} + 279 \, a^{4} b^{3} + 567 \, a^{3} b^{4}\right)} x\right)} \sqrt{-\frac{b}{a^{5}}}\right)} \sqrt{x^{4} + x} + {\left({\left(a^{6} - 2 \, a^{5} b - 69 \, a^{4} b^{2} - 108 \, a^{3} b^{3} + 486 \, a^{2} b^{4}\right)} x^{6} - a^{5} b + 22 \, a^{4} b^{2} + 171 \, a^{3} b^{3} + 324 \, a^{2} b^{4} + 2 \, {\left(9 \, a^{5} b + 73 \, a^{4} b^{2} + 279 \, a^{3} b^{3} + 567 \, a^{2} b^{4}\right)} x^{3} - {\left(10 \, a^{7} b + 51 \, a^{6} b^{2} + 108 \, a^{5} b^{3} + 243 \, a^{4} b^{4} - {\left(8 \, a^{8} + 95 \, a^{7} b + 450 \, a^{6} b^{2} + 891 \, a^{5} b^{3}\right)} x^{6} + 2 \, {\left(a^{8} - 12 \, a^{7} b - 120 \, a^{6} b^{2} - 216 \, a^{5} b^{3} + 243 \, a^{4} b^{4}\right)} x^{3}\right)} \sqrt{-\frac{b}{a^{5}}}\right)} \sqrt{-\frac{a^{3} \sqrt{-\frac{b}{a^{5}}} + b}{a^{3}}}}{a x^{6} + b}\right) - a \sqrt{-\frac{a^{3} \sqrt{-\frac{b}{a^{5}}} + b}{a^{3}}} \log\left(\frac{2 \, {\left({\left(9 \, a^{4} b + 73 \, a^{3} b^{2} + 279 \, a^{2} b^{3} + 567 \, a b^{4}\right)} x^{4} - {\left(a^{4} b - 12 \, a^{3} b^{2} - 120 \, a^{2} b^{3} - 216 \, a b^{4} + 243 \, b^{5}\right)} x - {\left({\left(a^{7} - 12 \, a^{6} b - 120 \, a^{5} b^{2} - 216 \, a^{4} b^{3} + 243 \, a^{3} b^{4}\right)} x^{4} + {\left(9 \, a^{6} b + 73 \, a^{5} b^{2} + 279 \, a^{4} b^{3} + 567 \, a^{3} b^{4}\right)} x\right)} \sqrt{-\frac{b}{a^{5}}}\right)} \sqrt{x^{4} + x} - {\left({\left(a^{6} - 2 \, a^{5} b - 69 \, a^{4} b^{2} - 108 \, a^{3} b^{3} + 486 \, a^{2} b^{4}\right)} x^{6} - a^{5} b + 22 \, a^{4} b^{2} + 171 \, a^{3} b^{3} + 324 \, a^{2} b^{4} + 2 \, {\left(9 \, a^{5} b + 73 \, a^{4} b^{2} + 279 \, a^{3} b^{3} + 567 \, a^{2} b^{4}\right)} x^{3} - {\left(10 \, a^{7} b + 51 \, a^{6} b^{2} + 108 \, a^{5} b^{3} + 243 \, a^{4} b^{4} - {\left(8 \, a^{8} + 95 \, a^{7} b + 450 \, a^{6} b^{2} + 891 \, a^{5} b^{3}\right)} x^{6} + 2 \, {\left(a^{8} - 12 \, a^{7} b - 120 \, a^{6} b^{2} - 216 \, a^{5} b^{3} + 243 \, a^{4} b^{4}\right)} x^{3}\right)} \sqrt{-\frac{b}{a^{5}}}\right)} \sqrt{-\frac{a^{3} \sqrt{-\frac{b}{a^{5}}} + b}{a^{3}}}}{a x^{6} + b}\right) - 4 \, \sqrt{x^{4} + x} x - 2 \, \log\left(-2 \, x^{3} - 2 \, \sqrt{x^{4} + x} x - 1\right)}{12 \, a}"," ",0,"-1/12*(a*sqrt((a^3*sqrt(-b/a^5) - b)/a^3)*log((2*((9*a^4*b + 73*a^3*b^2 + 279*a^2*b^3 + 567*a*b^4)*x^4 - (a^4*b - 12*a^3*b^2 - 120*a^2*b^3 - 216*a*b^4 + 243*b^5)*x + ((a^7 - 12*a^6*b - 120*a^5*b^2 - 216*a^4*b^3 + 243*a^3*b^4)*x^4 + (9*a^6*b + 73*a^5*b^2 + 279*a^4*b^3 + 567*a^3*b^4)*x)*sqrt(-b/a^5))*sqrt(x^4 + x) + ((a^6 - 2*a^5*b - 69*a^4*b^2 - 108*a^3*b^3 + 486*a^2*b^4)*x^6 - a^5*b + 22*a^4*b^2 + 171*a^3*b^3 + 324*a^2*b^4 + 2*(9*a^5*b + 73*a^4*b^2 + 279*a^3*b^3 + 567*a^2*b^4)*x^3 + (10*a^7*b + 51*a^6*b^2 + 108*a^5*b^3 + 243*a^4*b^4 - (8*a^8 + 95*a^7*b + 450*a^6*b^2 + 891*a^5*b^3)*x^6 + 2*(a^8 - 12*a^7*b - 120*a^6*b^2 - 216*a^5*b^3 + 243*a^4*b^4)*x^3)*sqrt(-b/a^5))*sqrt((a^3*sqrt(-b/a^5) - b)/a^3))/(a*x^6 + b)) - a*sqrt((a^3*sqrt(-b/a^5) - b)/a^3)*log((2*((9*a^4*b + 73*a^3*b^2 + 279*a^2*b^3 + 567*a*b^4)*x^4 - (a^4*b - 12*a^3*b^2 - 120*a^2*b^3 - 216*a*b^4 + 243*b^5)*x + ((a^7 - 12*a^6*b - 120*a^5*b^2 - 216*a^4*b^3 + 243*a^3*b^4)*x^4 + (9*a^6*b + 73*a^5*b^2 + 279*a^4*b^3 + 567*a^3*b^4)*x)*sqrt(-b/a^5))*sqrt(x^4 + x) - ((a^6 - 2*a^5*b - 69*a^4*b^2 - 108*a^3*b^3 + 486*a^2*b^4)*x^6 - a^5*b + 22*a^4*b^2 + 171*a^3*b^3 + 324*a^2*b^4 + 2*(9*a^5*b + 73*a^4*b^2 + 279*a^3*b^3 + 567*a^2*b^4)*x^3 + (10*a^7*b + 51*a^6*b^2 + 108*a^5*b^3 + 243*a^4*b^4 - (8*a^8 + 95*a^7*b + 450*a^6*b^2 + 891*a^5*b^3)*x^6 + 2*(a^8 - 12*a^7*b - 120*a^6*b^2 - 216*a^5*b^3 + 243*a^4*b^4)*x^3)*sqrt(-b/a^5))*sqrt((a^3*sqrt(-b/a^5) - b)/a^3))/(a*x^6 + b)) + a*sqrt(-(a^3*sqrt(-b/a^5) + b)/a^3)*log((2*((9*a^4*b + 73*a^3*b^2 + 279*a^2*b^3 + 567*a*b^4)*x^4 - (a^4*b - 12*a^3*b^2 - 120*a^2*b^3 - 216*a*b^4 + 243*b^5)*x - ((a^7 - 12*a^6*b - 120*a^5*b^2 - 216*a^4*b^3 + 243*a^3*b^4)*x^4 + (9*a^6*b + 73*a^5*b^2 + 279*a^4*b^3 + 567*a^3*b^4)*x)*sqrt(-b/a^5))*sqrt(x^4 + x) + ((a^6 - 2*a^5*b - 69*a^4*b^2 - 108*a^3*b^3 + 486*a^2*b^4)*x^6 - a^5*b + 22*a^4*b^2 + 171*a^3*b^3 + 324*a^2*b^4 + 2*(9*a^5*b + 73*a^4*b^2 + 279*a^3*b^3 + 567*a^2*b^4)*x^3 - (10*a^7*b + 51*a^6*b^2 + 108*a^5*b^3 + 243*a^4*b^4 - (8*a^8 + 95*a^7*b + 450*a^6*b^2 + 891*a^5*b^3)*x^6 + 2*(a^8 - 12*a^7*b - 120*a^6*b^2 - 216*a^5*b^3 + 243*a^4*b^4)*x^3)*sqrt(-b/a^5))*sqrt(-(a^3*sqrt(-b/a^5) + b)/a^3))/(a*x^6 + b)) - a*sqrt(-(a^3*sqrt(-b/a^5) + b)/a^3)*log((2*((9*a^4*b + 73*a^3*b^2 + 279*a^2*b^3 + 567*a*b^4)*x^4 - (a^4*b - 12*a^3*b^2 - 120*a^2*b^3 - 216*a*b^4 + 243*b^5)*x - ((a^7 - 12*a^6*b - 120*a^5*b^2 - 216*a^4*b^3 + 243*a^3*b^4)*x^4 + (9*a^6*b + 73*a^5*b^2 + 279*a^4*b^3 + 567*a^3*b^4)*x)*sqrt(-b/a^5))*sqrt(x^4 + x) - ((a^6 - 2*a^5*b - 69*a^4*b^2 - 108*a^3*b^3 + 486*a^2*b^4)*x^6 - a^5*b + 22*a^4*b^2 + 171*a^3*b^3 + 324*a^2*b^4 + 2*(9*a^5*b + 73*a^4*b^2 + 279*a^3*b^3 + 567*a^2*b^4)*x^3 - (10*a^7*b + 51*a^6*b^2 + 108*a^5*b^3 + 243*a^4*b^4 - (8*a^8 + 95*a^7*b + 450*a^6*b^2 + 891*a^5*b^3)*x^6 + 2*(a^8 - 12*a^7*b - 120*a^6*b^2 - 216*a^5*b^3 + 243*a^4*b^4)*x^3)*sqrt(-b/a^5))*sqrt(-(a^3*sqrt(-b/a^5) + b)/a^3))/(a*x^6 + b)) - 4*sqrt(x^4 + x)*x - 2*log(-2*x^3 - 2*sqrt(x^4 + x)*x - 1))/a","B",0
2664,-1,0,0,0.000000," ","integrate((a*x^4+b*x^2)^(1/4)*(x^8-a*x^4-b)/(a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2665,-1,0,0,0.000000," ","integrate((a*x^4+b*x^2)^(1/4)*(x^8-a*x^4-b)/(a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2666,1,635,0,60.133226," ","integrate((5*x^7+2*x^4-2)*(x^8+x^5-x^3+x)^(1/3)/(2*x^7+2*x^4+x^2+2)^2,x, algorithm=""fricas"")","-\frac{6 \cdot 18^{\frac{1}{6}} \sqrt{6} {\left(2 \, x^{7} + 2 \, x^{4} + x^{2} + 2\right)} \arctan\left(-\frac{18^{\frac{1}{6}} {\left(6 \cdot 18^{\frac{2}{3}} \sqrt{6} {\left(4 \, x^{15} + 8 \, x^{12} - 50 \, x^{10} + 4 \, x^{9} + 8 \, x^{8} - 50 \, x^{7} + 63 \, x^{5} - 50 \, x^{3} + 4 \, x\right)} {\left(x^{8} + x^{5} - x^{3} + x\right)}^{\frac{1}{3}} - 72 \, \sqrt{6} {\left(2 \, x^{14} + 4 \, x^{11} - 7 \, x^{9} + 2 \, x^{8} + 4 \, x^{7} - 7 \, x^{6} - 7 \, x^{2} + 2\right)} {\left(x^{8} + x^{5} - x^{3} + x\right)}^{\frac{2}{3}} + 18^{\frac{1}{3}} \sqrt{6} {\left(8 \, x^{21} + 24 \, x^{18} - 204 \, x^{16} + 24 \, x^{15} + 24 \, x^{14} - 408 \, x^{13} + 8 \, x^{12} + 648 \, x^{11} - 204 \, x^{10} - 408 \, x^{9} + 624 \, x^{8} + 24 \, x^{7} - 785 \, x^{6} + 624 \, x^{4} - 204 \, x^{2} + 8\right)}\right)}}{18 \, {\left(8 \, x^{21} + 24 \, x^{18} + 12 \, x^{16} + 24 \, x^{15} + 24 \, x^{14} + 24 \, x^{13} + 8 \, x^{12} - 432 \, x^{11} + 12 \, x^{10} + 24 \, x^{9} - 456 \, x^{8} + 24 \, x^{7} + 511 \, x^{6} - 456 \, x^{4} + 12 \, x^{2} + 8\right)}}\right) + 18^{\frac{2}{3}} {\left(2 \, x^{7} + 2 \, x^{4} + x^{2} + 2\right)} \log\left(-\frac{36 \cdot 18^{\frac{1}{3}} {\left(x^{8} + x^{5} - x^{3} + x\right)}^{\frac{2}{3}} {\left(x^{7} + x^{4} - 4 \, x^{2} + 1\right)} - 18^{\frac{2}{3}} {\left(4 \, x^{14} + 8 \, x^{11} - 50 \, x^{9} + 4 \, x^{8} + 8 \, x^{7} - 50 \, x^{6} + 63 \, x^{4} - 50 \, x^{2} + 4\right)} - 54 \, {\left(4 \, x^{8} + 4 \, x^{5} - 7 \, x^{3} + 4 \, x\right)} {\left(x^{8} + x^{5} - x^{3} + x\right)}^{\frac{1}{3}}}{4 \, x^{14} + 8 \, x^{11} + 4 \, x^{9} + 4 \, x^{8} + 8 \, x^{7} + 4 \, x^{6} + 9 \, x^{4} + 4 \, x^{2} + 4}\right) - 2 \cdot 18^{\frac{2}{3}} {\left(2 \, x^{7} + 2 \, x^{4} + x^{2} + 2\right)} \log\left(\frac{3 \cdot 18^{\frac{2}{3}} {\left(x^{8} + x^{5} - x^{3} + x\right)}^{\frac{1}{3}} x + 18^{\frac{1}{3}} {\left(2 \, x^{7} + 2 \, x^{4} + x^{2} + 2\right)} + 18 \, {\left(x^{8} + x^{5} - x^{3} + x\right)}^{\frac{2}{3}}}{2 \, x^{7} + 2 \, x^{4} + x^{2} + 2}\right) + 324 \, {\left(x^{8} + x^{5} - x^{3} + x\right)}^{\frac{1}{3}} x}{648 \, {\left(2 \, x^{7} + 2 \, x^{4} + x^{2} + 2\right)}}"," ",0,"-1/648*(6*18^(1/6)*sqrt(6)*(2*x^7 + 2*x^4 + x^2 + 2)*arctan(-1/18*18^(1/6)*(6*18^(2/3)*sqrt(6)*(4*x^15 + 8*x^12 - 50*x^10 + 4*x^9 + 8*x^8 - 50*x^7 + 63*x^5 - 50*x^3 + 4*x)*(x^8 + x^5 - x^3 + x)^(1/3) - 72*sqrt(6)*(2*x^14 + 4*x^11 - 7*x^9 + 2*x^8 + 4*x^7 - 7*x^6 - 7*x^2 + 2)*(x^8 + x^5 - x^3 + x)^(2/3) + 18^(1/3)*sqrt(6)*(8*x^21 + 24*x^18 - 204*x^16 + 24*x^15 + 24*x^14 - 408*x^13 + 8*x^12 + 648*x^11 - 204*x^10 - 408*x^9 + 624*x^8 + 24*x^7 - 785*x^6 + 624*x^4 - 204*x^2 + 8))/(8*x^21 + 24*x^18 + 12*x^16 + 24*x^15 + 24*x^14 + 24*x^13 + 8*x^12 - 432*x^11 + 12*x^10 + 24*x^9 - 456*x^8 + 24*x^7 + 511*x^6 - 456*x^4 + 12*x^2 + 8)) + 18^(2/3)*(2*x^7 + 2*x^4 + x^2 + 2)*log(-(36*18^(1/3)*(x^8 + x^5 - x^3 + x)^(2/3)*(x^7 + x^4 - 4*x^2 + 1) - 18^(2/3)*(4*x^14 + 8*x^11 - 50*x^9 + 4*x^8 + 8*x^7 - 50*x^6 + 63*x^4 - 50*x^2 + 4) - 54*(4*x^8 + 4*x^5 - 7*x^3 + 4*x)*(x^8 + x^5 - x^3 + x)^(1/3))/(4*x^14 + 8*x^11 + 4*x^9 + 4*x^8 + 8*x^7 + 4*x^6 + 9*x^4 + 4*x^2 + 4)) - 2*18^(2/3)*(2*x^7 + 2*x^4 + x^2 + 2)*log((3*18^(2/3)*(x^8 + x^5 - x^3 + x)^(1/3)*x + 18^(1/3)*(2*x^7 + 2*x^4 + x^2 + 2) + 18*(x^8 + x^5 - x^3 + x)^(2/3))/(2*x^7 + 2*x^4 + x^2 + 2)) + 324*(x^8 + x^5 - x^3 + x)^(1/3)*x)/(2*x^7 + 2*x^4 + x^2 + 2)","B",0
2667,1,2091,0,0.997277," ","integrate((a^5*x^5-b^5)/(a^2*x^3+b^2*x)^(1/2)/(a^5*x^5+b^5),x, algorithm=""fricas"")","\left[-\frac{1}{10} \, \sqrt{2} \sqrt{-\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} + 1}{a b}} \log\left(\frac{2 \, {\left(2 \, a^{4} x^{4} + 6 \, a^{2} b^{2} x^{2} + 2 \, b^{4} + \sqrt{2} {\left(a^{3} b x^{2} + 2 \, a^{2} b^{2} x + a b^{3} - 5 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{2} + a^{2} b^{4}\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{-\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} + 1}{a b}} - 10 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{3} + a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)}}{a^{4} x^{4} - a^{3} b x^{3} + a^{2} b^{2} x^{2} - a b^{3} x + b^{4}}\right) + \frac{1}{10} \, \sqrt{2} \sqrt{-\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} + 1}{a b}} \log\left(\frac{2 \, {\left(2 \, a^{4} x^{4} + 6 \, a^{2} b^{2} x^{2} + 2 \, b^{4} - \sqrt{2} {\left(a^{3} b x^{2} + 2 \, a^{2} b^{2} x + a b^{3} - 5 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{2} + a^{2} b^{4}\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{-\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} + 1}{a b}} - 10 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{3} + a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)}}{a^{4} x^{4} - a^{3} b x^{3} + a^{2} b^{2} x^{2} - a b^{3} x + b^{4}}\right) - \frac{1}{10} \, \sqrt{2} \sqrt{\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} - 1}{a b}} \log\left(\frac{2 \, {\left(2 \, a^{4} x^{4} + 6 \, a^{2} b^{2} x^{2} + 2 \, b^{4} + \sqrt{2} {\left(a^{3} b x^{2} + 2 \, a^{2} b^{2} x + a b^{3} + 5 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{2} + a^{2} b^{4}\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} - 1}{a b}} + 10 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{3} + a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)}}{a^{4} x^{4} - a^{3} b x^{3} + a^{2} b^{2} x^{2} - a b^{3} x + b^{4}}\right) + \frac{1}{10} \, \sqrt{2} \sqrt{\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} - 1}{a b}} \log\left(\frac{2 \, {\left(2 \, a^{4} x^{4} + 6 \, a^{2} b^{2} x^{2} + 2 \, b^{4} - \sqrt{2} {\left(a^{3} b x^{2} + 2 \, a^{2} b^{2} x + a b^{3} + 5 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{2} + a^{2} b^{4}\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} - 1}{a b}} + 10 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{3} + a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)}}{a^{4} x^{4} - a^{3} b x^{3} + a^{2} b^{2} x^{2} - a b^{3} x + b^{4}}\right) + \frac{1}{20} \, \sqrt{2} \sqrt{-\frac{1}{a b}} \log\left(\frac{a^{4} x^{4} - 12 \, a^{3} b x^{3} + 6 \, a^{2} b^{2} x^{2} - 12 \, a b^{3} x + b^{4} + 4 \, \sqrt{2} {\left(a^{3} b x^{2} - 2 \, a^{2} b^{2} x + a b^{3}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{-\frac{1}{a b}}}{a^{4} x^{4} + 4 \, a^{3} b x^{3} + 6 \, a^{2} b^{2} x^{2} + 4 \, a b^{3} x + b^{4}}\right), -\frac{1}{10} \, \sqrt{2} \sqrt{\frac{1}{a b}} \arctan\left(\frac{2 \, \sqrt{2} \sqrt{a^{2} x^{3} + b^{2} x} a b \sqrt{\frac{1}{a b}}}{a^{2} x^{2} - 2 \, a b x + b^{2}}\right) - \frac{1}{10} \, \sqrt{2} \sqrt{-\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} + 1}{a b}} \log\left(\frac{2 \, {\left(2 \, a^{4} x^{4} + 6 \, a^{2} b^{2} x^{2} + 2 \, b^{4} + \sqrt{2} {\left(a^{3} b x^{2} + 2 \, a^{2} b^{2} x + a b^{3} - 5 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{2} + a^{2} b^{4}\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{-\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} + 1}{a b}} - 10 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{3} + a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)}}{a^{4} x^{4} - a^{3} b x^{3} + a^{2} b^{2} x^{2} - a b^{3} x + b^{4}}\right) + \frac{1}{10} \, \sqrt{2} \sqrt{-\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} + 1}{a b}} \log\left(\frac{2 \, {\left(2 \, a^{4} x^{4} + 6 \, a^{2} b^{2} x^{2} + 2 \, b^{4} - \sqrt{2} {\left(a^{3} b x^{2} + 2 \, a^{2} b^{2} x + a b^{3} - 5 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{2} + a^{2} b^{4}\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{-\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} + 1}{a b}} - 10 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{3} + a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)}}{a^{4} x^{4} - a^{3} b x^{3} + a^{2} b^{2} x^{2} - a b^{3} x + b^{4}}\right) - \frac{1}{10} \, \sqrt{2} \sqrt{\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} - 1}{a b}} \log\left(\frac{2 \, {\left(2 \, a^{4} x^{4} + 6 \, a^{2} b^{2} x^{2} + 2 \, b^{4} + \sqrt{2} {\left(a^{3} b x^{2} + 2 \, a^{2} b^{2} x + a b^{3} + 5 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{2} + a^{2} b^{4}\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} - 1}{a b}} + 10 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{3} + a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)}}{a^{4} x^{4} - a^{3} b x^{3} + a^{2} b^{2} x^{2} - a b^{3} x + b^{4}}\right) + \frac{1}{10} \, \sqrt{2} \sqrt{\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} - 1}{a b}} \log\left(\frac{2 \, {\left(2 \, a^{4} x^{4} + 6 \, a^{2} b^{2} x^{2} + 2 \, b^{4} - \sqrt{2} {\left(a^{3} b x^{2} + 2 \, a^{2} b^{2} x + a b^{3} + 5 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{2} + a^{2} b^{4}\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} - 1}{a b}} + 10 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{3} + a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)}}{a^{4} x^{4} - a^{3} b x^{3} + a^{2} b^{2} x^{2} - a b^{3} x + b^{4}}\right)\right]"," ",0,"[-1/10*sqrt(2)*sqrt(-(5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) + 1)/(a*b))*log(2*(2*a^4*x^4 + 6*a^2*b^2*x^2 + 2*b^4 + sqrt(2)*(a^3*b*x^2 + 2*a^2*b^2*x + a*b^3 - 5*sqrt(1/5)*(a^4*b^2*x^2 + a^2*b^4)*sqrt(1/(a^2*b^2)))*sqrt(a^2*x^3 + b^2*x)*sqrt(-(5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) + 1)/(a*b)) - 10*sqrt(1/5)*(a^4*b^2*x^3 + a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 - a^3*b*x^3 + a^2*b^2*x^2 - a*b^3*x + b^4)) + 1/10*sqrt(2)*sqrt(-(5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) + 1)/(a*b))*log(2*(2*a^4*x^4 + 6*a^2*b^2*x^2 + 2*b^4 - sqrt(2)*(a^3*b*x^2 + 2*a^2*b^2*x + a*b^3 - 5*sqrt(1/5)*(a^4*b^2*x^2 + a^2*b^4)*sqrt(1/(a^2*b^2)))*sqrt(a^2*x^3 + b^2*x)*sqrt(-(5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) + 1)/(a*b)) - 10*sqrt(1/5)*(a^4*b^2*x^3 + a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 - a^3*b*x^3 + a^2*b^2*x^2 - a*b^3*x + b^4)) - 1/10*sqrt(2)*sqrt((5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) - 1)/(a*b))*log(2*(2*a^4*x^4 + 6*a^2*b^2*x^2 + 2*b^4 + sqrt(2)*(a^3*b*x^2 + 2*a^2*b^2*x + a*b^3 + 5*sqrt(1/5)*(a^4*b^2*x^2 + a^2*b^4)*sqrt(1/(a^2*b^2)))*sqrt(a^2*x^3 + b^2*x)*sqrt((5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) - 1)/(a*b)) + 10*sqrt(1/5)*(a^4*b^2*x^3 + a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 - a^3*b*x^3 + a^2*b^2*x^2 - a*b^3*x + b^4)) + 1/10*sqrt(2)*sqrt((5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) - 1)/(a*b))*log(2*(2*a^4*x^4 + 6*a^2*b^2*x^2 + 2*b^4 - sqrt(2)*(a^3*b*x^2 + 2*a^2*b^2*x + a*b^3 + 5*sqrt(1/5)*(a^4*b^2*x^2 + a^2*b^4)*sqrt(1/(a^2*b^2)))*sqrt(a^2*x^3 + b^2*x)*sqrt((5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) - 1)/(a*b)) + 10*sqrt(1/5)*(a^4*b^2*x^3 + a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 - a^3*b*x^3 + a^2*b^2*x^2 - a*b^3*x + b^4)) + 1/20*sqrt(2)*sqrt(-1/(a*b))*log((a^4*x^4 - 12*a^3*b*x^3 + 6*a^2*b^2*x^2 - 12*a*b^3*x + b^4 + 4*sqrt(2)*(a^3*b*x^2 - 2*a^2*b^2*x + a*b^3)*sqrt(a^2*x^3 + b^2*x)*sqrt(-1/(a*b)))/(a^4*x^4 + 4*a^3*b*x^3 + 6*a^2*b^2*x^2 + 4*a*b^3*x + b^4)), -1/10*sqrt(2)*sqrt(1/(a*b))*arctan(2*sqrt(2)*sqrt(a^2*x^3 + b^2*x)*a*b*sqrt(1/(a*b))/(a^2*x^2 - 2*a*b*x + b^2)) - 1/10*sqrt(2)*sqrt(-(5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) + 1)/(a*b))*log(2*(2*a^4*x^4 + 6*a^2*b^2*x^2 + 2*b^4 + sqrt(2)*(a^3*b*x^2 + 2*a^2*b^2*x + a*b^3 - 5*sqrt(1/5)*(a^4*b^2*x^2 + a^2*b^4)*sqrt(1/(a^2*b^2)))*sqrt(a^2*x^3 + b^2*x)*sqrt(-(5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) + 1)/(a*b)) - 10*sqrt(1/5)*(a^4*b^2*x^3 + a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 - a^3*b*x^3 + a^2*b^2*x^2 - a*b^3*x + b^4)) + 1/10*sqrt(2)*sqrt(-(5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) + 1)/(a*b))*log(2*(2*a^4*x^4 + 6*a^2*b^2*x^2 + 2*b^4 - sqrt(2)*(a^3*b*x^2 + 2*a^2*b^2*x + a*b^3 - 5*sqrt(1/5)*(a^4*b^2*x^2 + a^2*b^4)*sqrt(1/(a^2*b^2)))*sqrt(a^2*x^3 + b^2*x)*sqrt(-(5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) + 1)/(a*b)) - 10*sqrt(1/5)*(a^4*b^2*x^3 + a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 - a^3*b*x^3 + a^2*b^2*x^2 - a*b^3*x + b^4)) - 1/10*sqrt(2)*sqrt((5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) - 1)/(a*b))*log(2*(2*a^4*x^4 + 6*a^2*b^2*x^2 + 2*b^4 + sqrt(2)*(a^3*b*x^2 + 2*a^2*b^2*x + a*b^3 + 5*sqrt(1/5)*(a^4*b^2*x^2 + a^2*b^4)*sqrt(1/(a^2*b^2)))*sqrt(a^2*x^3 + b^2*x)*sqrt((5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) - 1)/(a*b)) + 10*sqrt(1/5)*(a^4*b^2*x^3 + a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 - a^3*b*x^3 + a^2*b^2*x^2 - a*b^3*x + b^4)) + 1/10*sqrt(2)*sqrt((5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) - 1)/(a*b))*log(2*(2*a^4*x^4 + 6*a^2*b^2*x^2 + 2*b^4 - sqrt(2)*(a^3*b*x^2 + 2*a^2*b^2*x + a*b^3 + 5*sqrt(1/5)*(a^4*b^2*x^2 + a^2*b^4)*sqrt(1/(a^2*b^2)))*sqrt(a^2*x^3 + b^2*x)*sqrt((5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) - 1)/(a*b)) + 10*sqrt(1/5)*(a^4*b^2*x^3 + a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 - a^3*b*x^3 + a^2*b^2*x^2 - a*b^3*x + b^4))]","B",0
2668,1,2075,0,1.034362," ","integrate((a^5*x^5+b^5)/(a^2*x^3+b^2*x)^(1/2)/(a^5*x^5-b^5),x, algorithm=""fricas"")","\left[\frac{1}{10} \, \sqrt{2} \sqrt{\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} + 1}{a b}} \log\left(\frac{2 \, {\left(2 \, a^{4} x^{4} + 6 \, a^{2} b^{2} x^{2} + 2 \, b^{4} + \sqrt{2} {\left(a^{3} b x^{2} - 2 \, a^{2} b^{2} x + a b^{3} - 5 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{2} + a^{2} b^{4}\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} + 1}{a b}} + 10 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{3} + a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)}}{a^{4} x^{4} + a^{3} b x^{3} + a^{2} b^{2} x^{2} + a b^{3} x + b^{4}}\right) - \frac{1}{10} \, \sqrt{2} \sqrt{\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} + 1}{a b}} \log\left(\frac{2 \, {\left(2 \, a^{4} x^{4} + 6 \, a^{2} b^{2} x^{2} + 2 \, b^{4} - \sqrt{2} {\left(a^{3} b x^{2} - 2 \, a^{2} b^{2} x + a b^{3} - 5 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{2} + a^{2} b^{4}\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} + 1}{a b}} + 10 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{3} + a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)}}{a^{4} x^{4} + a^{3} b x^{3} + a^{2} b^{2} x^{2} + a b^{3} x + b^{4}}\right) + \frac{1}{10} \, \sqrt{2} \sqrt{-\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} - 1}{a b}} \log\left(\frac{2 \, {\left(2 \, a^{4} x^{4} + 6 \, a^{2} b^{2} x^{2} + 2 \, b^{4} + \sqrt{2} {\left(a^{3} b x^{2} - 2 \, a^{2} b^{2} x + a b^{3} + 5 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{2} + a^{2} b^{4}\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{-\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} - 1}{a b}} - 10 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{3} + a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)}}{a^{4} x^{4} + a^{3} b x^{3} + a^{2} b^{2} x^{2} + a b^{3} x + b^{4}}\right) - \frac{1}{10} \, \sqrt{2} \sqrt{-\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} - 1}{a b}} \log\left(\frac{2 \, {\left(2 \, a^{4} x^{4} + 6 \, a^{2} b^{2} x^{2} + 2 \, b^{4} - \sqrt{2} {\left(a^{3} b x^{2} - 2 \, a^{2} b^{2} x + a b^{3} + 5 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{2} + a^{2} b^{4}\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{-\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} - 1}{a b}} - 10 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{3} + a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)}}{a^{4} x^{4} + a^{3} b x^{3} + a^{2} b^{2} x^{2} + a b^{3} x + b^{4}}\right) + \frac{1}{20} \, \sqrt{2} \sqrt{\frac{1}{a b}} \log\left(\frac{a^{4} x^{4} + 12 \, a^{3} b x^{3} + 6 \, a^{2} b^{2} x^{2} + 12 \, a b^{3} x + b^{4} - 4 \, \sqrt{2} {\left(a^{3} b x^{2} + 2 \, a^{2} b^{2} x + a b^{3}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{\frac{1}{a b}}}{a^{4} x^{4} - 4 \, a^{3} b x^{3} + 6 \, a^{2} b^{2} x^{2} - 4 \, a b^{3} x + b^{4}}\right), \frac{1}{10} \, \sqrt{2} \sqrt{-\frac{1}{a b}} \arctan\left(\frac{2 \, \sqrt{2} \sqrt{a^{2} x^{3} + b^{2} x} a b \sqrt{-\frac{1}{a b}}}{a^{2} x^{2} + 2 \, a b x + b^{2}}\right) + \frac{1}{10} \, \sqrt{2} \sqrt{\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} + 1}{a b}} \log\left(\frac{2 \, {\left(2 \, a^{4} x^{4} + 6 \, a^{2} b^{2} x^{2} + 2 \, b^{4} + \sqrt{2} {\left(a^{3} b x^{2} - 2 \, a^{2} b^{2} x + a b^{3} - 5 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{2} + a^{2} b^{4}\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} + 1}{a b}} + 10 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{3} + a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)}}{a^{4} x^{4} + a^{3} b x^{3} + a^{2} b^{2} x^{2} + a b^{3} x + b^{4}}\right) - \frac{1}{10} \, \sqrt{2} \sqrt{\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} + 1}{a b}} \log\left(\frac{2 \, {\left(2 \, a^{4} x^{4} + 6 \, a^{2} b^{2} x^{2} + 2 \, b^{4} - \sqrt{2} {\left(a^{3} b x^{2} - 2 \, a^{2} b^{2} x + a b^{3} - 5 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{2} + a^{2} b^{4}\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} + 1}{a b}} + 10 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{3} + a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)}}{a^{4} x^{4} + a^{3} b x^{3} + a^{2} b^{2} x^{2} + a b^{3} x + b^{4}}\right) + \frac{1}{10} \, \sqrt{2} \sqrt{-\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} - 1}{a b}} \log\left(\frac{2 \, {\left(2 \, a^{4} x^{4} + 6 \, a^{2} b^{2} x^{2} + 2 \, b^{4} + \sqrt{2} {\left(a^{3} b x^{2} - 2 \, a^{2} b^{2} x + a b^{3} + 5 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{2} + a^{2} b^{4}\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{-\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} - 1}{a b}} - 10 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{3} + a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)}}{a^{4} x^{4} + a^{3} b x^{3} + a^{2} b^{2} x^{2} + a b^{3} x + b^{4}}\right) - \frac{1}{10} \, \sqrt{2} \sqrt{-\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} - 1}{a b}} \log\left(\frac{2 \, {\left(2 \, a^{4} x^{4} + 6 \, a^{2} b^{2} x^{2} + 2 \, b^{4} - \sqrt{2} {\left(a^{3} b x^{2} - 2 \, a^{2} b^{2} x + a b^{3} + 5 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{2} + a^{2} b^{4}\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{-\frac{5 \, \sqrt{\frac{1}{5}} a b \sqrt{\frac{1}{a^{2} b^{2}}} - 1}{a b}} - 10 \, \sqrt{\frac{1}{5}} {\left(a^{4} b^{2} x^{3} + a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}\right)}}{a^{4} x^{4} + a^{3} b x^{3} + a^{2} b^{2} x^{2} + a b^{3} x + b^{4}}\right)\right]"," ",0,"[1/10*sqrt(2)*sqrt((5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) + 1)/(a*b))*log(2*(2*a^4*x^4 + 6*a^2*b^2*x^2 + 2*b^4 + sqrt(2)*(a^3*b*x^2 - 2*a^2*b^2*x + a*b^3 - 5*sqrt(1/5)*(a^4*b^2*x^2 + a^2*b^4)*sqrt(1/(a^2*b^2)))*sqrt(a^2*x^3 + b^2*x)*sqrt((5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) + 1)/(a*b)) + 10*sqrt(1/5)*(a^4*b^2*x^3 + a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 + a^3*b*x^3 + a^2*b^2*x^2 + a*b^3*x + b^4)) - 1/10*sqrt(2)*sqrt((5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) + 1)/(a*b))*log(2*(2*a^4*x^4 + 6*a^2*b^2*x^2 + 2*b^4 - sqrt(2)*(a^3*b*x^2 - 2*a^2*b^2*x + a*b^3 - 5*sqrt(1/5)*(a^4*b^2*x^2 + a^2*b^4)*sqrt(1/(a^2*b^2)))*sqrt(a^2*x^3 + b^2*x)*sqrt((5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) + 1)/(a*b)) + 10*sqrt(1/5)*(a^4*b^2*x^3 + a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 + a^3*b*x^3 + a^2*b^2*x^2 + a*b^3*x + b^4)) + 1/10*sqrt(2)*sqrt(-(5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) - 1)/(a*b))*log(2*(2*a^4*x^4 + 6*a^2*b^2*x^2 + 2*b^4 + sqrt(2)*(a^3*b*x^2 - 2*a^2*b^2*x + a*b^3 + 5*sqrt(1/5)*(a^4*b^2*x^2 + a^2*b^4)*sqrt(1/(a^2*b^2)))*sqrt(a^2*x^3 + b^2*x)*sqrt(-(5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) - 1)/(a*b)) - 10*sqrt(1/5)*(a^4*b^2*x^3 + a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 + a^3*b*x^3 + a^2*b^2*x^2 + a*b^3*x + b^4)) - 1/10*sqrt(2)*sqrt(-(5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) - 1)/(a*b))*log(2*(2*a^4*x^4 + 6*a^2*b^2*x^2 + 2*b^4 - sqrt(2)*(a^3*b*x^2 - 2*a^2*b^2*x + a*b^3 + 5*sqrt(1/5)*(a^4*b^2*x^2 + a^2*b^4)*sqrt(1/(a^2*b^2)))*sqrt(a^2*x^3 + b^2*x)*sqrt(-(5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) - 1)/(a*b)) - 10*sqrt(1/5)*(a^4*b^2*x^3 + a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 + a^3*b*x^3 + a^2*b^2*x^2 + a*b^3*x + b^4)) + 1/20*sqrt(2)*sqrt(1/(a*b))*log((a^4*x^4 + 12*a^3*b*x^3 + 6*a^2*b^2*x^2 + 12*a*b^3*x + b^4 - 4*sqrt(2)*(a^3*b*x^2 + 2*a^2*b^2*x + a*b^3)*sqrt(a^2*x^3 + b^2*x)*sqrt(1/(a*b)))/(a^4*x^4 - 4*a^3*b*x^3 + 6*a^2*b^2*x^2 - 4*a*b^3*x + b^4)), 1/10*sqrt(2)*sqrt(-1/(a*b))*arctan(2*sqrt(2)*sqrt(a^2*x^3 + b^2*x)*a*b*sqrt(-1/(a*b))/(a^2*x^2 + 2*a*b*x + b^2)) + 1/10*sqrt(2)*sqrt((5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) + 1)/(a*b))*log(2*(2*a^4*x^4 + 6*a^2*b^2*x^2 + 2*b^4 + sqrt(2)*(a^3*b*x^2 - 2*a^2*b^2*x + a*b^3 - 5*sqrt(1/5)*(a^4*b^2*x^2 + a^2*b^4)*sqrt(1/(a^2*b^2)))*sqrt(a^2*x^3 + b^2*x)*sqrt((5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) + 1)/(a*b)) + 10*sqrt(1/5)*(a^4*b^2*x^3 + a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 + a^3*b*x^3 + a^2*b^2*x^2 + a*b^3*x + b^4)) - 1/10*sqrt(2)*sqrt((5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) + 1)/(a*b))*log(2*(2*a^4*x^4 + 6*a^2*b^2*x^2 + 2*b^4 - sqrt(2)*(a^3*b*x^2 - 2*a^2*b^2*x + a*b^3 - 5*sqrt(1/5)*(a^4*b^2*x^2 + a^2*b^4)*sqrt(1/(a^2*b^2)))*sqrt(a^2*x^3 + b^2*x)*sqrt((5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) + 1)/(a*b)) + 10*sqrt(1/5)*(a^4*b^2*x^3 + a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 + a^3*b*x^3 + a^2*b^2*x^2 + a*b^3*x + b^4)) + 1/10*sqrt(2)*sqrt(-(5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) - 1)/(a*b))*log(2*(2*a^4*x^4 + 6*a^2*b^2*x^2 + 2*b^4 + sqrt(2)*(a^3*b*x^2 - 2*a^2*b^2*x + a*b^3 + 5*sqrt(1/5)*(a^4*b^2*x^2 + a^2*b^4)*sqrt(1/(a^2*b^2)))*sqrt(a^2*x^3 + b^2*x)*sqrt(-(5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) - 1)/(a*b)) - 10*sqrt(1/5)*(a^4*b^2*x^3 + a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 + a^3*b*x^3 + a^2*b^2*x^2 + a*b^3*x + b^4)) - 1/10*sqrt(2)*sqrt(-(5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) - 1)/(a*b))*log(2*(2*a^4*x^4 + 6*a^2*b^2*x^2 + 2*b^4 - sqrt(2)*(a^3*b*x^2 - 2*a^2*b^2*x + a*b^3 + 5*sqrt(1/5)*(a^4*b^2*x^2 + a^2*b^4)*sqrt(1/(a^2*b^2)))*sqrt(a^2*x^3 + b^2*x)*sqrt(-(5*sqrt(1/5)*a*b*sqrt(1/(a^2*b^2)) - 1)/(a*b)) - 10*sqrt(1/5)*(a^4*b^2*x^3 + a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 + a^3*b*x^3 + a^2*b^2*x^2 + a*b^3*x + b^4))]","B",0
2669,-1,0,0,0.000000," ","integrate((2*x^8-a*x^4-2*b)/x^4/(a*x^4-b)^(1/4)/(2*a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2670,1,1173,0,0.998777," ","integrate((x^16-1)/(x^4-1)^(1/2)/(x^16+x^8+1),x, algorithm=""fricas"")","-\frac{1}{24} \cdot 3^{\frac{3}{4}} \sqrt{2} \arctan\left(\frac{3 \, x^{16} + 6 \, x^{12} + 9 \, x^{8} + 6 \, x^{4} + \sqrt{3} {\left(2 \cdot 3^{\frac{3}{4}} \sqrt{2} {\left(x^{14} - 12 \, x^{10} + 12 \, x^{6} - x^{2}\right)} + 3^{\frac{1}{4}} \sqrt{2} {\left(x^{16} - 28 \, x^{12} + 45 \, x^{8} - 28 \, x^{4} + 1\right)} + 12 \, {\left(x^{11} + x^{7} + x^{3} + 4 \, \sqrt{3} {\left(x^{9} - x^{5}\right)}\right)} \sqrt{x^{4} - 1}\right)} \sqrt{\frac{12 \, x^{6} - 12 \, x^{2} + \sqrt{3} {\left(x^{8} + x^{4} + 1\right)} + 2 \, \sqrt{x^{4} - 1} {\left(3 \cdot 3^{\frac{1}{4}} \sqrt{2} x^{3} + 3^{\frac{3}{4}} \sqrt{2} {\left(x^{5} - x\right)}\right)}}{x^{8} + x^{4} + 1}} + 12 \, \sqrt{3} {\left(x^{14} - x^{2}\right)} + 6 \, \sqrt{x^{4} - 1} {\left(3 \cdot 3^{\frac{3}{4}} \sqrt{2} {\left(x^{11} - 3 \, x^{7} + x^{3}\right)} + 3^{\frac{1}{4}} \sqrt{2} {\left(x^{13} - 12 \, x^{9} + 12 \, x^{5} - x\right)}\right)} + 3}{3 \, {\left(x^{16} - 46 \, x^{12} + 99 \, x^{8} - 46 \, x^{4} + 1\right)}}\right) + \frac{1}{24} \cdot 3^{\frac{3}{4}} \sqrt{2} \arctan\left(\frac{3 \, x^{16} + 6 \, x^{12} + 9 \, x^{8} + 6 \, x^{4} - \sqrt{3} {\left(2 \cdot 3^{\frac{3}{4}} \sqrt{2} {\left(x^{14} - 12 \, x^{10} + 12 \, x^{6} - x^{2}\right)} + 3^{\frac{1}{4}} \sqrt{2} {\left(x^{16} - 28 \, x^{12} + 45 \, x^{8} - 28 \, x^{4} + 1\right)} - 12 \, {\left(x^{11} + x^{7} + x^{3} + 4 \, \sqrt{3} {\left(x^{9} - x^{5}\right)}\right)} \sqrt{x^{4} - 1}\right)} \sqrt{\frac{12 \, x^{6} - 12 \, x^{2} + \sqrt{3} {\left(x^{8} + x^{4} + 1\right)} - 2 \, \sqrt{x^{4} - 1} {\left(3 \cdot 3^{\frac{1}{4}} \sqrt{2} x^{3} + 3^{\frac{3}{4}} \sqrt{2} {\left(x^{5} - x\right)}\right)}}{x^{8} + x^{4} + 1}} + 12 \, \sqrt{3} {\left(x^{14} - x^{2}\right)} - 6 \, \sqrt{x^{4} - 1} {\left(3 \cdot 3^{\frac{3}{4}} \sqrt{2} {\left(x^{11} - 3 \, x^{7} + x^{3}\right)} + 3^{\frac{1}{4}} \sqrt{2} {\left(x^{13} - 12 \, x^{9} + 12 \, x^{5} - x\right)}\right)} + 3}{3 \, {\left(x^{16} - 46 \, x^{12} + 99 \, x^{8} - 46 \, x^{4} + 1\right)}}\right) - \frac{1}{96} \cdot 3^{\frac{3}{4}} \sqrt{2} \log\left(\frac{12 \, {\left(12 \, x^{6} - 12 \, x^{2} + \sqrt{3} {\left(x^{8} + x^{4} + 1\right)} + 2 \, \sqrt{x^{4} - 1} {\left(3 \cdot 3^{\frac{1}{4}} \sqrt{2} x^{3} + 3^{\frac{3}{4}} \sqrt{2} {\left(x^{5} - x\right)}\right)}\right)}}{x^{8} + x^{4} + 1}\right) + \frac{1}{96} \cdot 3^{\frac{3}{4}} \sqrt{2} \log\left(\frac{12 \, {\left(12 \, x^{6} - 12 \, x^{2} + \sqrt{3} {\left(x^{8} + x^{4} + 1\right)} - 2 \, \sqrt{x^{4} - 1} {\left(3 \cdot 3^{\frac{1}{4}} \sqrt{2} x^{3} + 3^{\frac{3}{4}} \sqrt{2} {\left(x^{5} - x\right)}\right)}\right)}}{x^{8} + x^{4} + 1}\right) - \frac{1}{8} \, \sqrt{2} \arctan\left(\frac{x^{8} - x^{4} + 2 \, \sqrt{2} {\left(x^{5} - x^{3} - x\right)} \sqrt{x^{4} - 1} + {\left(4 \, \sqrt{x^{4} - 1} x^{3} + \sqrt{2} {\left(x^{8} - 2 \, x^{6} - 3 \, x^{4} + 2 \, x^{2} + 1\right)}\right)} \sqrt{\frac{x^{8} + 4 \, x^{6} - x^{4} + 2 \, \sqrt{2} {\left(x^{5} + x^{3} - x\right)} \sqrt{x^{4} - 1} - 4 \, x^{2} + 1}{x^{8} - x^{4} + 1}} + 1}{x^{8} - 4 \, x^{6} - x^{4} + 4 \, x^{2} + 1}\right) + \frac{1}{8} \, \sqrt{2} \arctan\left(\frac{x^{8} - x^{4} - 2 \, \sqrt{2} {\left(x^{5} - x^{3} - x\right)} \sqrt{x^{4} - 1} + {\left(4 \, \sqrt{x^{4} - 1} x^{3} - \sqrt{2} {\left(x^{8} - 2 \, x^{6} - 3 \, x^{4} + 2 \, x^{2} + 1\right)}\right)} \sqrt{\frac{x^{8} + 4 \, x^{6} - x^{4} - 2 \, \sqrt{2} {\left(x^{5} + x^{3} - x\right)} \sqrt{x^{4} - 1} - 4 \, x^{2} + 1}{x^{8} - x^{4} + 1}} + 1}{x^{8} - 4 \, x^{6} - x^{4} + 4 \, x^{2} + 1}\right) - \frac{1}{32} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{8} + 4 \, x^{6} - x^{4} + 2 \, \sqrt{2} {\left(x^{5} + x^{3} - x\right)} \sqrt{x^{4} - 1} - 4 \, x^{2} + 1\right)}}{x^{8} - x^{4} + 1}\right) + \frac{1}{32} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{8} + 4 \, x^{6} - x^{4} - 2 \, \sqrt{2} {\left(x^{5} + x^{3} - x\right)} \sqrt{x^{4} - 1} - 4 \, x^{2} + 1\right)}}{x^{8} - x^{4} + 1}\right)"," ",0,"-1/24*3^(3/4)*sqrt(2)*arctan(1/3*(3*x^16 + 6*x^12 + 9*x^8 + 6*x^4 + sqrt(3)*(2*3^(3/4)*sqrt(2)*(x^14 - 12*x^10 + 12*x^6 - x^2) + 3^(1/4)*sqrt(2)*(x^16 - 28*x^12 + 45*x^8 - 28*x^4 + 1) + 12*(x^11 + x^7 + x^3 + 4*sqrt(3)*(x^9 - x^5))*sqrt(x^4 - 1))*sqrt((12*x^6 - 12*x^2 + sqrt(3)*(x^8 + x^4 + 1) + 2*sqrt(x^4 - 1)*(3*3^(1/4)*sqrt(2)*x^3 + 3^(3/4)*sqrt(2)*(x^5 - x)))/(x^8 + x^4 + 1)) + 12*sqrt(3)*(x^14 - x^2) + 6*sqrt(x^4 - 1)*(3*3^(3/4)*sqrt(2)*(x^11 - 3*x^7 + x^3) + 3^(1/4)*sqrt(2)*(x^13 - 12*x^9 + 12*x^5 - x)) + 3)/(x^16 - 46*x^12 + 99*x^8 - 46*x^4 + 1)) + 1/24*3^(3/4)*sqrt(2)*arctan(1/3*(3*x^16 + 6*x^12 + 9*x^8 + 6*x^4 - sqrt(3)*(2*3^(3/4)*sqrt(2)*(x^14 - 12*x^10 + 12*x^6 - x^2) + 3^(1/4)*sqrt(2)*(x^16 - 28*x^12 + 45*x^8 - 28*x^4 + 1) - 12*(x^11 + x^7 + x^3 + 4*sqrt(3)*(x^9 - x^5))*sqrt(x^4 - 1))*sqrt((12*x^6 - 12*x^2 + sqrt(3)*(x^8 + x^4 + 1) - 2*sqrt(x^4 - 1)*(3*3^(1/4)*sqrt(2)*x^3 + 3^(3/4)*sqrt(2)*(x^5 - x)))/(x^8 + x^4 + 1)) + 12*sqrt(3)*(x^14 - x^2) - 6*sqrt(x^4 - 1)*(3*3^(3/4)*sqrt(2)*(x^11 - 3*x^7 + x^3) + 3^(1/4)*sqrt(2)*(x^13 - 12*x^9 + 12*x^5 - x)) + 3)/(x^16 - 46*x^12 + 99*x^8 - 46*x^4 + 1)) - 1/96*3^(3/4)*sqrt(2)*log(12*(12*x^6 - 12*x^2 + sqrt(3)*(x^8 + x^4 + 1) + 2*sqrt(x^4 - 1)*(3*3^(1/4)*sqrt(2)*x^3 + 3^(3/4)*sqrt(2)*(x^5 - x)))/(x^8 + x^4 + 1)) + 1/96*3^(3/4)*sqrt(2)*log(12*(12*x^6 - 12*x^2 + sqrt(3)*(x^8 + x^4 + 1) - 2*sqrt(x^4 - 1)*(3*3^(1/4)*sqrt(2)*x^3 + 3^(3/4)*sqrt(2)*(x^5 - x)))/(x^8 + x^4 + 1)) - 1/8*sqrt(2)*arctan((x^8 - x^4 + 2*sqrt(2)*(x^5 - x^3 - x)*sqrt(x^4 - 1) + (4*sqrt(x^4 - 1)*x^3 + sqrt(2)*(x^8 - 2*x^6 - 3*x^4 + 2*x^2 + 1))*sqrt((x^8 + 4*x^6 - x^4 + 2*sqrt(2)*(x^5 + x^3 - x)*sqrt(x^4 - 1) - 4*x^2 + 1)/(x^8 - x^4 + 1)) + 1)/(x^8 - 4*x^6 - x^4 + 4*x^2 + 1)) + 1/8*sqrt(2)*arctan((x^8 - x^4 - 2*sqrt(2)*(x^5 - x^3 - x)*sqrt(x^4 - 1) + (4*sqrt(x^4 - 1)*x^3 - sqrt(2)*(x^8 - 2*x^6 - 3*x^4 + 2*x^2 + 1))*sqrt((x^8 + 4*x^6 - x^4 - 2*sqrt(2)*(x^5 + x^3 - x)*sqrt(x^4 - 1) - 4*x^2 + 1)/(x^8 - x^4 + 1)) + 1)/(x^8 - 4*x^6 - x^4 + 4*x^2 + 1)) - 1/32*sqrt(2)*log(4*(x^8 + 4*x^6 - x^4 + 2*sqrt(2)*(x^5 + x^3 - x)*sqrt(x^4 - 1) - 4*x^2 + 1)/(x^8 - x^4 + 1)) + 1/32*sqrt(2)*log(4*(x^8 + 4*x^6 - x^4 - 2*sqrt(2)*(x^5 + x^3 - x)*sqrt(x^4 - 1) - 4*x^2 + 1)/(x^8 - x^4 + 1))","B",0
2671,-1,0,0,0.000000," ","integrate((2*a*b*x-3*a*x^2+x^3)/(x^2*(-a+x)*(-b+x))^(1/3)/(-a^2*d+2*a*d*x-(b+d)*x^2+x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2672,1,687,0,0.648297," ","integrate((c*x^2+d)*(a*x^4+b*x^3)^(1/4)/x^2/(c*x^2-d),x, algorithm=""fricas"")","-\frac{4 \, {\left(a + \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{1}{4}} x \arctan\left(\frac{{\left(a d x - \sqrt{\frac{b^{2} c}{d}} d x\right)} {\left(a + \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{3}{4}} \sqrt{\frac{\sqrt{a + \sqrt{\frac{b^{2} c}{d}}} x^{2} + \sqrt{a x^{4} + b x^{3}}}{x^{2}}} - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(a d - \sqrt{\frac{b^{2} c}{d}} d\right)} {\left(a + \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{3}{4}}}{{\left(b^{2} c - a^{2} d\right)} x}\right) - 4 \, {\left(a - \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{1}{4}} x \arctan\left(-\frac{{\left(a d x + \sqrt{\frac{b^{2} c}{d}} d x\right)} {\left(a - \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{3}{4}} \sqrt{\frac{\sqrt{a - \sqrt{\frac{b^{2} c}{d}}} x^{2} + \sqrt{a x^{4} + b x^{3}}}{x^{2}}} - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(a d + \sqrt{\frac{b^{2} c}{d}} d\right)} {\left(a - \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{3}{4}}}{{\left(b^{2} c - a^{2} d\right)} x}\right) + 4 \, a^{\frac{1}{4}} x \arctan\left(\frac{a^{\frac{3}{4}} x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} + b x^{3}}}{x^{2}}} - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} a^{\frac{3}{4}}}{a x}\right) + {\left(a + \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{1}{4}} x \log\left(\frac{2 \, {\left({\left(a + \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{1}{4}} x + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}\right)}}{x}\right) - {\left(a + \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{1}{4}} x \log\left(-\frac{2 \, {\left({\left(a + \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{1}{4}} x - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}\right)}}{x}\right) + {\left(a - \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{1}{4}} x \log\left(\frac{2 \, {\left({\left(a - \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{1}{4}} x + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}\right)}}{x}\right) - {\left(a - \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{1}{4}} x \log\left(-\frac{2 \, {\left({\left(a - \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{1}{4}} x - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}\right)}}{x}\right) - a^{\frac{1}{4}} x \log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + a^{\frac{1}{4}} x \log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - 4 \, {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}"," ",0,"-(4*(a + sqrt(b^2*c/d))^(1/4)*x*arctan(((a*d*x - sqrt(b^2*c/d)*d*x)*(a + sqrt(b^2*c/d))^(3/4)*sqrt((sqrt(a + sqrt(b^2*c/d))*x^2 + sqrt(a*x^4 + b*x^3))/x^2) - (a*x^4 + b*x^3)^(1/4)*(a*d - sqrt(b^2*c/d)*d)*(a + sqrt(b^2*c/d))^(3/4))/((b^2*c - a^2*d)*x)) - 4*(a - sqrt(b^2*c/d))^(1/4)*x*arctan(-((a*d*x + sqrt(b^2*c/d)*d*x)*(a - sqrt(b^2*c/d))^(3/4)*sqrt((sqrt(a - sqrt(b^2*c/d))*x^2 + sqrt(a*x^4 + b*x^3))/x^2) - (a*x^4 + b*x^3)^(1/4)*(a*d + sqrt(b^2*c/d)*d)*(a - sqrt(b^2*c/d))^(3/4))/((b^2*c - a^2*d)*x)) + 4*a^(1/4)*x*arctan((a^(3/4)*x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 + b*x^3))/x^2) - (a*x^4 + b*x^3)^(1/4)*a^(3/4))/(a*x)) + (a + sqrt(b^2*c/d))^(1/4)*x*log(2*((a + sqrt(b^2*c/d))^(1/4)*x + (a*x^4 + b*x^3)^(1/4))/x) - (a + sqrt(b^2*c/d))^(1/4)*x*log(-2*((a + sqrt(b^2*c/d))^(1/4)*x - (a*x^4 + b*x^3)^(1/4))/x) + (a - sqrt(b^2*c/d))^(1/4)*x*log(2*((a - sqrt(b^2*c/d))^(1/4)*x + (a*x^4 + b*x^3)^(1/4))/x) - (a - sqrt(b^2*c/d))^(1/4)*x*log(-2*((a - sqrt(b^2*c/d))^(1/4)*x - (a*x^4 + b*x^3)^(1/4))/x) - a^(1/4)*x*log((a^(1/4)*x + (a*x^4 + b*x^3)^(1/4))/x) + a^(1/4)*x*log(-(a^(1/4)*x - (a*x^4 + b*x^3)^(1/4))/x) - 4*(a*x^4 + b*x^3)^(1/4))/x","B",0
2673,1,687,0,0.628730," ","integrate((c*x^2+d)*(a*x^4+b*x^3)^(1/4)/x^2/(c*x^2-d),x, algorithm=""fricas"")","-\frac{4 \, {\left(a + \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{1}{4}} x \arctan\left(\frac{{\left(a d x - \sqrt{\frac{b^{2} c}{d}} d x\right)} {\left(a + \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{3}{4}} \sqrt{\frac{\sqrt{a + \sqrt{\frac{b^{2} c}{d}}} x^{2} + \sqrt{a x^{4} + b x^{3}}}{x^{2}}} - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(a d - \sqrt{\frac{b^{2} c}{d}} d\right)} {\left(a + \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{3}{4}}}{{\left(b^{2} c - a^{2} d\right)} x}\right) - 4 \, {\left(a - \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{1}{4}} x \arctan\left(-\frac{{\left(a d x + \sqrt{\frac{b^{2} c}{d}} d x\right)} {\left(a - \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{3}{4}} \sqrt{\frac{\sqrt{a - \sqrt{\frac{b^{2} c}{d}}} x^{2} + \sqrt{a x^{4} + b x^{3}}}{x^{2}}} - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(a d + \sqrt{\frac{b^{2} c}{d}} d\right)} {\left(a - \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{3}{4}}}{{\left(b^{2} c - a^{2} d\right)} x}\right) + 4 \, a^{\frac{1}{4}} x \arctan\left(\frac{a^{\frac{3}{4}} x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} + b x^{3}}}{x^{2}}} - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} a^{\frac{3}{4}}}{a x}\right) + {\left(a + \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{1}{4}} x \log\left(\frac{2 \, {\left({\left(a + \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{1}{4}} x + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}\right)}}{x}\right) - {\left(a + \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{1}{4}} x \log\left(-\frac{2 \, {\left({\left(a + \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{1}{4}} x - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}\right)}}{x}\right) + {\left(a - \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{1}{4}} x \log\left(\frac{2 \, {\left({\left(a - \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{1}{4}} x + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}\right)}}{x}\right) - {\left(a - \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{1}{4}} x \log\left(-\frac{2 \, {\left({\left(a - \sqrt{\frac{b^{2} c}{d}}\right)}^{\frac{1}{4}} x - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}\right)}}{x}\right) - a^{\frac{1}{4}} x \log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + a^{\frac{1}{4}} x \log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - 4 \, {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}"," ",0,"-(4*(a + sqrt(b^2*c/d))^(1/4)*x*arctan(((a*d*x - sqrt(b^2*c/d)*d*x)*(a + sqrt(b^2*c/d))^(3/4)*sqrt((sqrt(a + sqrt(b^2*c/d))*x^2 + sqrt(a*x^4 + b*x^3))/x^2) - (a*x^4 + b*x^3)^(1/4)*(a*d - sqrt(b^2*c/d)*d)*(a + sqrt(b^2*c/d))^(3/4))/((b^2*c - a^2*d)*x)) - 4*(a - sqrt(b^2*c/d))^(1/4)*x*arctan(-((a*d*x + sqrt(b^2*c/d)*d*x)*(a - sqrt(b^2*c/d))^(3/4)*sqrt((sqrt(a - sqrt(b^2*c/d))*x^2 + sqrt(a*x^4 + b*x^3))/x^2) - (a*x^4 + b*x^3)^(1/4)*(a*d + sqrt(b^2*c/d)*d)*(a - sqrt(b^2*c/d))^(3/4))/((b^2*c - a^2*d)*x)) + 4*a^(1/4)*x*arctan((a^(3/4)*x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 + b*x^3))/x^2) - (a*x^4 + b*x^3)^(1/4)*a^(3/4))/(a*x)) + (a + sqrt(b^2*c/d))^(1/4)*x*log(2*((a + sqrt(b^2*c/d))^(1/4)*x + (a*x^4 + b*x^3)^(1/4))/x) - (a + sqrt(b^2*c/d))^(1/4)*x*log(-2*((a + sqrt(b^2*c/d))^(1/4)*x - (a*x^4 + b*x^3)^(1/4))/x) + (a - sqrt(b^2*c/d))^(1/4)*x*log(2*((a - sqrt(b^2*c/d))^(1/4)*x + (a*x^4 + b*x^3)^(1/4))/x) - (a - sqrt(b^2*c/d))^(1/4)*x*log(-2*((a - sqrt(b^2*c/d))^(1/4)*x - (a*x^4 + b*x^3)^(1/4))/x) - a^(1/4)*x*log((a^(1/4)*x + (a*x^4 + b*x^3)^(1/4))/x) + a^(1/4)*x*log(-(a^(1/4)*x - (a*x^4 + b*x^3)^(1/4))/x) - 4*(a*x^4 + b*x^3)^(1/4))/x","B",0
2674,1,4319,0,8.750375," ","integrate((x^4-1)/(x^4+1)/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{-\frac{2 \, \sqrt{\frac{1}{2}} {\left(2 \, b^{2} - c^{2}\right)} \sqrt{\frac{b^{2}}{4 \, b^{4} - 4 \, b^{2} c^{2} + c^{4}}} + c}{2 \, b^{2} - c^{2}}} \log\left(-\frac{2 \, {\left(16 \, a^{2} b^{3} + 2 \, b^{5} - 16 \, a b^{3} c + {\left(8 \, a^{2} b + b^{3}\right)} c^{2} + {\left(16 \, a^{2} b^{3} + 2 \, b^{5} - 16 \, a b^{3} c + {\left(8 \, a^{2} b + b^{3}\right)} c^{2}\right)} x^{2} + 2 \, \sqrt{\frac{1}{2}} {\left(16 \, a b^{5} - 4 \, a b c^{4} + 2 \, {\left(8 \, a^{2} b + b^{3}\right)} c^{3} + 2 \, {\left(8 \, a b^{5} - 2 \, a b c^{4} + {\left(8 \, a^{2} b + b^{3}\right)} c^{3} - 2 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} c\right)} x^{2} - 4 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} c - {\left(32 \, a^{2} b^{4} + 4 \, b^{6} - 32 \, a b^{4} c + 16 \, a b^{2} c^{3} - {\left(8 \, a^{2} + b^{2}\right)} c^{4}\right)} x\right)} \sqrt{\frac{b^{2}}{4 \, b^{4} - 4 \, b^{2} c^{2} + c^{4}}} - 4 \, {\left(4 \, a b^{4} + 2 \, a b^{2} c^{2} - {\left(8 \, a^{2} b^{2} + b^{4}\right)} c\right)} x\right)} \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} + {\left(16 \, a^{2} b^{4} - 2 \, b^{6} + {\left(16 \, a^{2} b^{4} - 2 \, b^{6} + {\left(8 \, a^{2} b^{2} - b^{4}\right)} c^{2} - 8 \, {\left(8 \, a^{3} b^{2} - a b^{4}\right)} c\right)} x^{4} + 2 \, {\left(16 \, a b^{5} + 24 \, a b^{3} c^{2} - {\left(8 \, a^{2} b + b^{3}\right)} c^{3} - 6 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} c\right)} x^{3} + {\left(8 \, a^{2} b^{2} - b^{4}\right)} c^{2} - 4 \, {\left(16 \, a^{2} b^{4} + 2 \, b^{6} - 24 \, a b^{4} c - 4 \, a b^{2} c^{3} + 3 \, {\left(8 \, a^{2} b^{2} + b^{4}\right)} c^{2}\right)} x^{2} + 4 \, \sqrt{\frac{1}{2}} {\left(32 \, a^{3} b^{4} - 4 \, a b^{6} - {\left(8 \, a^{3} - a b^{2}\right)} c^{4} + {\left(32 \, a^{3} b^{4} - 4 \, a b^{6} - {\left(8 \, a^{3} - a b^{2}\right)} c^{4} + {\left(8 \, a^{2} b^{2} - b^{4}\right)} c^{3} - 2 \, {\left(8 \, a^{2} b^{4} - b^{6}\right)} c\right)} x^{4} + {\left(8 \, a^{2} b^{2} - b^{4}\right)} c^{3} + {\left(32 \, a^{2} b^{5} + 4 \, b^{7} - 48 \, a b^{5} c + 16 \, a b^{3} c^{3} + 4 \, a b c^{5} - 3 \, {\left(8 \, a^{2} b + b^{3}\right)} c^{4} + 4 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} c^{2}\right)} x^{3} - {\left(32 \, a b^{6} + 32 \, a b^{4} c^{2} - 24 \, a b^{2} c^{4} + {\left(8 \, a^{2} + b^{2}\right)} c^{5} + 4 \, {\left(8 \, a^{2} b^{2} + b^{4}\right)} c^{3} - 12 \, {\left(8 \, a^{2} b^{4} + b^{6}\right)} c\right)} x^{2} - 2 \, {\left(8 \, a^{2} b^{4} - b^{6}\right)} c + {\left(32 \, a^{2} b^{5} + 4 \, b^{7} - 48 \, a b^{5} c + 16 \, a b^{3} c^{3} + 4 \, a b c^{5} - 3 \, {\left(8 \, a^{2} b + b^{3}\right)} c^{4} + 4 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} c^{2}\right)} x\right)} \sqrt{\frac{b^{2}}{4 \, b^{4} - 4 \, b^{2} c^{2} + c^{4}}} - 8 \, {\left(8 \, a^{3} b^{2} - a b^{4}\right)} c + 2 \, {\left(16 \, a b^{5} + 24 \, a b^{3} c^{2} - {\left(8 \, a^{2} b + b^{3}\right)} c^{3} - 6 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} c\right)} x\right)} \sqrt{-\frac{2 \, \sqrt{\frac{1}{2}} {\left(2 \, b^{2} - c^{2}\right)} \sqrt{\frac{b^{2}}{4 \, b^{4} - 4 \, b^{2} c^{2} + c^{4}}} + c}{2 \, b^{2} - c^{2}}}}{x^{4} + 1}\right) - \frac{1}{4} \, \sqrt{-\frac{2 \, \sqrt{\frac{1}{2}} {\left(2 \, b^{2} - c^{2}\right)} \sqrt{\frac{b^{2}}{4 \, b^{4} - 4 \, b^{2} c^{2} + c^{4}}} + c}{2 \, b^{2} - c^{2}}} \log\left(-\frac{2 \, {\left(16 \, a^{2} b^{3} + 2 \, b^{5} - 16 \, a b^{3} c + {\left(8 \, a^{2} b + b^{3}\right)} c^{2} + {\left(16 \, a^{2} b^{3} + 2 \, b^{5} - 16 \, a b^{3} c + {\left(8 \, a^{2} b + b^{3}\right)} c^{2}\right)} x^{2} + 2 \, \sqrt{\frac{1}{2}} {\left(16 \, a b^{5} - 4 \, a b c^{4} + 2 \, {\left(8 \, a^{2} b + b^{3}\right)} c^{3} + 2 \, {\left(8 \, a b^{5} - 2 \, a b c^{4} + {\left(8 \, a^{2} b + b^{3}\right)} c^{3} - 2 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} c\right)} x^{2} - 4 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} c - {\left(32 \, a^{2} b^{4} + 4 \, b^{6} - 32 \, a b^{4} c + 16 \, a b^{2} c^{3} - {\left(8 \, a^{2} + b^{2}\right)} c^{4}\right)} x\right)} \sqrt{\frac{b^{2}}{4 \, b^{4} - 4 \, b^{2} c^{2} + c^{4}}} - 4 \, {\left(4 \, a b^{4} + 2 \, a b^{2} c^{2} - {\left(8 \, a^{2} b^{2} + b^{4}\right)} c\right)} x\right)} \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} - {\left(16 \, a^{2} b^{4} - 2 \, b^{6} + {\left(16 \, a^{2} b^{4} - 2 \, b^{6} + {\left(8 \, a^{2} b^{2} - b^{4}\right)} c^{2} - 8 \, {\left(8 \, a^{3} b^{2} - a b^{4}\right)} c\right)} x^{4} + 2 \, {\left(16 \, a b^{5} + 24 \, a b^{3} c^{2} - {\left(8 \, a^{2} b + b^{3}\right)} c^{3} - 6 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} c\right)} x^{3} + {\left(8 \, a^{2} b^{2} - b^{4}\right)} c^{2} - 4 \, {\left(16 \, a^{2} b^{4} + 2 \, b^{6} - 24 \, a b^{4} c - 4 \, a b^{2} c^{3} + 3 \, {\left(8 \, a^{2} b^{2} + b^{4}\right)} c^{2}\right)} x^{2} + 4 \, \sqrt{\frac{1}{2}} {\left(32 \, a^{3} b^{4} - 4 \, a b^{6} - {\left(8 \, a^{3} - a b^{2}\right)} c^{4} + {\left(32 \, a^{3} b^{4} - 4 \, a b^{6} - {\left(8 \, a^{3} - a b^{2}\right)} c^{4} + {\left(8 \, a^{2} b^{2} - b^{4}\right)} c^{3} - 2 \, {\left(8 \, a^{2} b^{4} - b^{6}\right)} c\right)} x^{4} + {\left(8 \, a^{2} b^{2} - b^{4}\right)} c^{3} + {\left(32 \, a^{2} b^{5} + 4 \, b^{7} - 48 \, a b^{5} c + 16 \, a b^{3} c^{3} + 4 \, a b c^{5} - 3 \, {\left(8 \, a^{2} b + b^{3}\right)} c^{4} + 4 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} c^{2}\right)} x^{3} - {\left(32 \, a b^{6} + 32 \, a b^{4} c^{2} - 24 \, a b^{2} c^{4} + {\left(8 \, a^{2} + b^{2}\right)} c^{5} + 4 \, {\left(8 \, a^{2} b^{2} + b^{4}\right)} c^{3} - 12 \, {\left(8 \, a^{2} b^{4} + b^{6}\right)} c\right)} x^{2} - 2 \, {\left(8 \, a^{2} b^{4} - b^{6}\right)} c + {\left(32 \, a^{2} b^{5} + 4 \, b^{7} - 48 \, a b^{5} c + 16 \, a b^{3} c^{3} + 4 \, a b c^{5} - 3 \, {\left(8 \, a^{2} b + b^{3}\right)} c^{4} + 4 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} c^{2}\right)} x\right)} \sqrt{\frac{b^{2}}{4 \, b^{4} - 4 \, b^{2} c^{2} + c^{4}}} - 8 \, {\left(8 \, a^{3} b^{2} - a b^{4}\right)} c + 2 \, {\left(16 \, a b^{5} + 24 \, a b^{3} c^{2} - {\left(8 \, a^{2} b + b^{3}\right)} c^{3} - 6 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} c\right)} x\right)} \sqrt{-\frac{2 \, \sqrt{\frac{1}{2}} {\left(2 \, b^{2} - c^{2}\right)} \sqrt{\frac{b^{2}}{4 \, b^{4} - 4 \, b^{2} c^{2} + c^{4}}} + c}{2 \, b^{2} - c^{2}}}}{x^{4} + 1}\right) + \frac{1}{4} \, \sqrt{\frac{2 \, \sqrt{\frac{1}{2}} {\left(2 \, b^{2} - c^{2}\right)} \sqrt{\frac{b^{2}}{4 \, b^{4} - 4 \, b^{2} c^{2} + c^{4}}} - c}{2 \, b^{2} - c^{2}}} \log\left(-\frac{2 \, {\left(16 \, a^{2} b^{3} + 2 \, b^{5} - 16 \, a b^{3} c + {\left(8 \, a^{2} b + b^{3}\right)} c^{2} + {\left(16 \, a^{2} b^{3} + 2 \, b^{5} - 16 \, a b^{3} c + {\left(8 \, a^{2} b + b^{3}\right)} c^{2}\right)} x^{2} - 2 \, \sqrt{\frac{1}{2}} {\left(16 \, a b^{5} - 4 \, a b c^{4} + 2 \, {\left(8 \, a^{2} b + b^{3}\right)} c^{3} + 2 \, {\left(8 \, a b^{5} - 2 \, a b c^{4} + {\left(8 \, a^{2} b + b^{3}\right)} c^{3} - 2 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} c\right)} x^{2} - 4 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} c - {\left(32 \, a^{2} b^{4} + 4 \, b^{6} - 32 \, a b^{4} c + 16 \, a b^{2} c^{3} - {\left(8 \, a^{2} + b^{2}\right)} c^{4}\right)} x\right)} \sqrt{\frac{b^{2}}{4 \, b^{4} - 4 \, b^{2} c^{2} + c^{4}}} - 4 \, {\left(4 \, a b^{4} + 2 \, a b^{2} c^{2} - {\left(8 \, a^{2} b^{2} + b^{4}\right)} c\right)} x\right)} \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} + {\left(16 \, a^{2} b^{4} - 2 \, b^{6} + {\left(16 \, a^{2} b^{4} - 2 \, b^{6} + {\left(8 \, a^{2} b^{2} - b^{4}\right)} c^{2} - 8 \, {\left(8 \, a^{3} b^{2} - a b^{4}\right)} c\right)} x^{4} + 2 \, {\left(16 \, a b^{5} + 24 \, a b^{3} c^{2} - {\left(8 \, a^{2} b + b^{3}\right)} c^{3} - 6 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} c\right)} x^{3} + {\left(8 \, a^{2} b^{2} - b^{4}\right)} c^{2} - 4 \, {\left(16 \, a^{2} b^{4} + 2 \, b^{6} - 24 \, a b^{4} c - 4 \, a b^{2} c^{3} + 3 \, {\left(8 \, a^{2} b^{2} + b^{4}\right)} c^{2}\right)} x^{2} - 4 \, \sqrt{\frac{1}{2}} {\left(32 \, a^{3} b^{4} - 4 \, a b^{6} - {\left(8 \, a^{3} - a b^{2}\right)} c^{4} + {\left(32 \, a^{3} b^{4} - 4 \, a b^{6} - {\left(8 \, a^{3} - a b^{2}\right)} c^{4} + {\left(8 \, a^{2} b^{2} - b^{4}\right)} c^{3} - 2 \, {\left(8 \, a^{2} b^{4} - b^{6}\right)} c\right)} x^{4} + {\left(8 \, a^{2} b^{2} - b^{4}\right)} c^{3} + {\left(32 \, a^{2} b^{5} + 4 \, b^{7} - 48 \, a b^{5} c + 16 \, a b^{3} c^{3} + 4 \, a b c^{5} - 3 \, {\left(8 \, a^{2} b + b^{3}\right)} c^{4} + 4 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} c^{2}\right)} x^{3} - {\left(32 \, a b^{6} + 32 \, a b^{4} c^{2} - 24 \, a b^{2} c^{4} + {\left(8 \, a^{2} + b^{2}\right)} c^{5} + 4 \, {\left(8 \, a^{2} b^{2} + b^{4}\right)} c^{3} - 12 \, {\left(8 \, a^{2} b^{4} + b^{6}\right)} c\right)} x^{2} - 2 \, {\left(8 \, a^{2} b^{4} - b^{6}\right)} c + {\left(32 \, a^{2} b^{5} + 4 \, b^{7} - 48 \, a b^{5} c + 16 \, a b^{3} c^{3} + 4 \, a b c^{5} - 3 \, {\left(8 \, a^{2} b + b^{3}\right)} c^{4} + 4 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} c^{2}\right)} x\right)} \sqrt{\frac{b^{2}}{4 \, b^{4} - 4 \, b^{2} c^{2} + c^{4}}} - 8 \, {\left(8 \, a^{3} b^{2} - a b^{4}\right)} c + 2 \, {\left(16 \, a b^{5} + 24 \, a b^{3} c^{2} - {\left(8 \, a^{2} b + b^{3}\right)} c^{3} - 6 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} c\right)} x\right)} \sqrt{\frac{2 \, \sqrt{\frac{1}{2}} {\left(2 \, b^{2} - c^{2}\right)} \sqrt{\frac{b^{2}}{4 \, b^{4} - 4 \, b^{2} c^{2} + c^{4}}} - c}{2 \, b^{2} - c^{2}}}}{x^{4} + 1}\right) - \frac{1}{4} \, \sqrt{\frac{2 \, \sqrt{\frac{1}{2}} {\left(2 \, b^{2} - c^{2}\right)} \sqrt{\frac{b^{2}}{4 \, b^{4} - 4 \, b^{2} c^{2} + c^{4}}} - c}{2 \, b^{2} - c^{2}}} \log\left(-\frac{2 \, {\left(16 \, a^{2} b^{3} + 2 \, b^{5} - 16 \, a b^{3} c + {\left(8 \, a^{2} b + b^{3}\right)} c^{2} + {\left(16 \, a^{2} b^{3} + 2 \, b^{5} - 16 \, a b^{3} c + {\left(8 \, a^{2} b + b^{3}\right)} c^{2}\right)} x^{2} - 2 \, \sqrt{\frac{1}{2}} {\left(16 \, a b^{5} - 4 \, a b c^{4} + 2 \, {\left(8 \, a^{2} b + b^{3}\right)} c^{3} + 2 \, {\left(8 \, a b^{5} - 2 \, a b c^{4} + {\left(8 \, a^{2} b + b^{3}\right)} c^{3} - 2 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} c\right)} x^{2} - 4 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} c - {\left(32 \, a^{2} b^{4} + 4 \, b^{6} - 32 \, a b^{4} c + 16 \, a b^{2} c^{3} - {\left(8 \, a^{2} + b^{2}\right)} c^{4}\right)} x\right)} \sqrt{\frac{b^{2}}{4 \, b^{4} - 4 \, b^{2} c^{2} + c^{4}}} - 4 \, {\left(4 \, a b^{4} + 2 \, a b^{2} c^{2} - {\left(8 \, a^{2} b^{2} + b^{4}\right)} c\right)} x\right)} \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} - {\left(16 \, a^{2} b^{4} - 2 \, b^{6} + {\left(16 \, a^{2} b^{4} - 2 \, b^{6} + {\left(8 \, a^{2} b^{2} - b^{4}\right)} c^{2} - 8 \, {\left(8 \, a^{3} b^{2} - a b^{4}\right)} c\right)} x^{4} + 2 \, {\left(16 \, a b^{5} + 24 \, a b^{3} c^{2} - {\left(8 \, a^{2} b + b^{3}\right)} c^{3} - 6 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} c\right)} x^{3} + {\left(8 \, a^{2} b^{2} - b^{4}\right)} c^{2} - 4 \, {\left(16 \, a^{2} b^{4} + 2 \, b^{6} - 24 \, a b^{4} c - 4 \, a b^{2} c^{3} + 3 \, {\left(8 \, a^{2} b^{2} + b^{4}\right)} c^{2}\right)} x^{2} - 4 \, \sqrt{\frac{1}{2}} {\left(32 \, a^{3} b^{4} - 4 \, a b^{6} - {\left(8 \, a^{3} - a b^{2}\right)} c^{4} + {\left(32 \, a^{3} b^{4} - 4 \, a b^{6} - {\left(8 \, a^{3} - a b^{2}\right)} c^{4} + {\left(8 \, a^{2} b^{2} - b^{4}\right)} c^{3} - 2 \, {\left(8 \, a^{2} b^{4} - b^{6}\right)} c\right)} x^{4} + {\left(8 \, a^{2} b^{2} - b^{4}\right)} c^{3} + {\left(32 \, a^{2} b^{5} + 4 \, b^{7} - 48 \, a b^{5} c + 16 \, a b^{3} c^{3} + 4 \, a b c^{5} - 3 \, {\left(8 \, a^{2} b + b^{3}\right)} c^{4} + 4 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} c^{2}\right)} x^{3} - {\left(32 \, a b^{6} + 32 \, a b^{4} c^{2} - 24 \, a b^{2} c^{4} + {\left(8 \, a^{2} + b^{2}\right)} c^{5} + 4 \, {\left(8 \, a^{2} b^{2} + b^{4}\right)} c^{3} - 12 \, {\left(8 \, a^{2} b^{4} + b^{6}\right)} c\right)} x^{2} - 2 \, {\left(8 \, a^{2} b^{4} - b^{6}\right)} c + {\left(32 \, a^{2} b^{5} + 4 \, b^{7} - 48 \, a b^{5} c + 16 \, a b^{3} c^{3} + 4 \, a b c^{5} - 3 \, {\left(8 \, a^{2} b + b^{3}\right)} c^{4} + 4 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} c^{2}\right)} x\right)} \sqrt{\frac{b^{2}}{4 \, b^{4} - 4 \, b^{2} c^{2} + c^{4}}} - 8 \, {\left(8 \, a^{3} b^{2} - a b^{4}\right)} c + 2 \, {\left(16 \, a b^{5} + 24 \, a b^{3} c^{2} - {\left(8 \, a^{2} b + b^{3}\right)} c^{3} - 6 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} c\right)} x\right)} \sqrt{\frac{2 \, \sqrt{\frac{1}{2}} {\left(2 \, b^{2} - c^{2}\right)} \sqrt{\frac{b^{2}}{4 \, b^{4} - 4 \, b^{2} c^{2} + c^{4}}} - c}{2 \, b^{2} - c^{2}}}}{x^{4} + 1}\right)"," ",0,"1/4*sqrt(-(2*sqrt(1/2)*(2*b^2 - c^2)*sqrt(b^2/(4*b^4 - 4*b^2*c^2 + c^4)) + c)/(2*b^2 - c^2))*log(-(2*(16*a^2*b^3 + 2*b^5 - 16*a*b^3*c + (8*a^2*b + b^3)*c^2 + (16*a^2*b^3 + 2*b^5 - 16*a*b^3*c + (8*a^2*b + b^3)*c^2)*x^2 + 2*sqrt(1/2)*(16*a*b^5 - 4*a*b*c^4 + 2*(8*a^2*b + b^3)*c^3 + 2*(8*a*b^5 - 2*a*b*c^4 + (8*a^2*b + b^3)*c^3 - 2*(8*a^2*b^3 + b^5)*c)*x^2 - 4*(8*a^2*b^3 + b^5)*c - (32*a^2*b^4 + 4*b^6 - 32*a*b^4*c + 16*a*b^2*c^3 - (8*a^2 + b^2)*c^4)*x)*sqrt(b^2/(4*b^4 - 4*b^2*c^2 + c^4)) - 4*(4*a*b^4 + 2*a*b^2*c^2 - (8*a^2*b^2 + b^4)*c)*x)*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a) + (16*a^2*b^4 - 2*b^6 + (16*a^2*b^4 - 2*b^6 + (8*a^2*b^2 - b^4)*c^2 - 8*(8*a^3*b^2 - a*b^4)*c)*x^4 + 2*(16*a*b^5 + 24*a*b^3*c^2 - (8*a^2*b + b^3)*c^3 - 6*(8*a^2*b^3 + b^5)*c)*x^3 + (8*a^2*b^2 - b^4)*c^2 - 4*(16*a^2*b^4 + 2*b^6 - 24*a*b^4*c - 4*a*b^2*c^3 + 3*(8*a^2*b^2 + b^4)*c^2)*x^2 + 4*sqrt(1/2)*(32*a^3*b^4 - 4*a*b^6 - (8*a^3 - a*b^2)*c^4 + (32*a^3*b^4 - 4*a*b^6 - (8*a^3 - a*b^2)*c^4 + (8*a^2*b^2 - b^4)*c^3 - 2*(8*a^2*b^4 - b^6)*c)*x^4 + (8*a^2*b^2 - b^4)*c^3 + (32*a^2*b^5 + 4*b^7 - 48*a*b^5*c + 16*a*b^3*c^3 + 4*a*b*c^5 - 3*(8*a^2*b + b^3)*c^4 + 4*(8*a^2*b^3 + b^5)*c^2)*x^3 - (32*a*b^6 + 32*a*b^4*c^2 - 24*a*b^2*c^4 + (8*a^2 + b^2)*c^5 + 4*(8*a^2*b^2 + b^4)*c^3 - 12*(8*a^2*b^4 + b^6)*c)*x^2 - 2*(8*a^2*b^4 - b^6)*c + (32*a^2*b^5 + 4*b^7 - 48*a*b^5*c + 16*a*b^3*c^3 + 4*a*b*c^5 - 3*(8*a^2*b + b^3)*c^4 + 4*(8*a^2*b^3 + b^5)*c^2)*x)*sqrt(b^2/(4*b^4 - 4*b^2*c^2 + c^4)) - 8*(8*a^3*b^2 - a*b^4)*c + 2*(16*a*b^5 + 24*a*b^3*c^2 - (8*a^2*b + b^3)*c^3 - 6*(8*a^2*b^3 + b^5)*c)*x)*sqrt(-(2*sqrt(1/2)*(2*b^2 - c^2)*sqrt(b^2/(4*b^4 - 4*b^2*c^2 + c^4)) + c)/(2*b^2 - c^2)))/(x^4 + 1)) - 1/4*sqrt(-(2*sqrt(1/2)*(2*b^2 - c^2)*sqrt(b^2/(4*b^4 - 4*b^2*c^2 + c^4)) + c)/(2*b^2 - c^2))*log(-(2*(16*a^2*b^3 + 2*b^5 - 16*a*b^3*c + (8*a^2*b + b^3)*c^2 + (16*a^2*b^3 + 2*b^5 - 16*a*b^3*c + (8*a^2*b + b^3)*c^2)*x^2 + 2*sqrt(1/2)*(16*a*b^5 - 4*a*b*c^4 + 2*(8*a^2*b + b^3)*c^3 + 2*(8*a*b^5 - 2*a*b*c^4 + (8*a^2*b + b^3)*c^3 - 2*(8*a^2*b^3 + b^5)*c)*x^2 - 4*(8*a^2*b^3 + b^5)*c - (32*a^2*b^4 + 4*b^6 - 32*a*b^4*c + 16*a*b^2*c^3 - (8*a^2 + b^2)*c^4)*x)*sqrt(b^2/(4*b^4 - 4*b^2*c^2 + c^4)) - 4*(4*a*b^4 + 2*a*b^2*c^2 - (8*a^2*b^2 + b^4)*c)*x)*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a) - (16*a^2*b^4 - 2*b^6 + (16*a^2*b^4 - 2*b^6 + (8*a^2*b^2 - b^4)*c^2 - 8*(8*a^3*b^2 - a*b^4)*c)*x^4 + 2*(16*a*b^5 + 24*a*b^3*c^2 - (8*a^2*b + b^3)*c^3 - 6*(8*a^2*b^3 + b^5)*c)*x^3 + (8*a^2*b^2 - b^4)*c^2 - 4*(16*a^2*b^4 + 2*b^6 - 24*a*b^4*c - 4*a*b^2*c^3 + 3*(8*a^2*b^2 + b^4)*c^2)*x^2 + 4*sqrt(1/2)*(32*a^3*b^4 - 4*a*b^6 - (8*a^3 - a*b^2)*c^4 + (32*a^3*b^4 - 4*a*b^6 - (8*a^3 - a*b^2)*c^4 + (8*a^2*b^2 - b^4)*c^3 - 2*(8*a^2*b^4 - b^6)*c)*x^4 + (8*a^2*b^2 - b^4)*c^3 + (32*a^2*b^5 + 4*b^7 - 48*a*b^5*c + 16*a*b^3*c^3 + 4*a*b*c^5 - 3*(8*a^2*b + b^3)*c^4 + 4*(8*a^2*b^3 + b^5)*c^2)*x^3 - (32*a*b^6 + 32*a*b^4*c^2 - 24*a*b^2*c^4 + (8*a^2 + b^2)*c^5 + 4*(8*a^2*b^2 + b^4)*c^3 - 12*(8*a^2*b^4 + b^6)*c)*x^2 - 2*(8*a^2*b^4 - b^6)*c + (32*a^2*b^5 + 4*b^7 - 48*a*b^5*c + 16*a*b^3*c^3 + 4*a*b*c^5 - 3*(8*a^2*b + b^3)*c^4 + 4*(8*a^2*b^3 + b^5)*c^2)*x)*sqrt(b^2/(4*b^4 - 4*b^2*c^2 + c^4)) - 8*(8*a^3*b^2 - a*b^4)*c + 2*(16*a*b^5 + 24*a*b^3*c^2 - (8*a^2*b + b^3)*c^3 - 6*(8*a^2*b^3 + b^5)*c)*x)*sqrt(-(2*sqrt(1/2)*(2*b^2 - c^2)*sqrt(b^2/(4*b^4 - 4*b^2*c^2 + c^4)) + c)/(2*b^2 - c^2)))/(x^4 + 1)) + 1/4*sqrt((2*sqrt(1/2)*(2*b^2 - c^2)*sqrt(b^2/(4*b^4 - 4*b^2*c^2 + c^4)) - c)/(2*b^2 - c^2))*log(-(2*(16*a^2*b^3 + 2*b^5 - 16*a*b^3*c + (8*a^2*b + b^3)*c^2 + (16*a^2*b^3 + 2*b^5 - 16*a*b^3*c + (8*a^2*b + b^3)*c^2)*x^2 - 2*sqrt(1/2)*(16*a*b^5 - 4*a*b*c^4 + 2*(8*a^2*b + b^3)*c^3 + 2*(8*a*b^5 - 2*a*b*c^4 + (8*a^2*b + b^3)*c^3 - 2*(8*a^2*b^3 + b^5)*c)*x^2 - 4*(8*a^2*b^3 + b^5)*c - (32*a^2*b^4 + 4*b^6 - 32*a*b^4*c + 16*a*b^2*c^3 - (8*a^2 + b^2)*c^4)*x)*sqrt(b^2/(4*b^4 - 4*b^2*c^2 + c^4)) - 4*(4*a*b^4 + 2*a*b^2*c^2 - (8*a^2*b^2 + b^4)*c)*x)*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a) + (16*a^2*b^4 - 2*b^6 + (16*a^2*b^4 - 2*b^6 + (8*a^2*b^2 - b^4)*c^2 - 8*(8*a^3*b^2 - a*b^4)*c)*x^4 + 2*(16*a*b^5 + 24*a*b^3*c^2 - (8*a^2*b + b^3)*c^3 - 6*(8*a^2*b^3 + b^5)*c)*x^3 + (8*a^2*b^2 - b^4)*c^2 - 4*(16*a^2*b^4 + 2*b^6 - 24*a*b^4*c - 4*a*b^2*c^3 + 3*(8*a^2*b^2 + b^4)*c^2)*x^2 - 4*sqrt(1/2)*(32*a^3*b^4 - 4*a*b^6 - (8*a^3 - a*b^2)*c^4 + (32*a^3*b^4 - 4*a*b^6 - (8*a^3 - a*b^2)*c^4 + (8*a^2*b^2 - b^4)*c^3 - 2*(8*a^2*b^4 - b^6)*c)*x^4 + (8*a^2*b^2 - b^4)*c^3 + (32*a^2*b^5 + 4*b^7 - 48*a*b^5*c + 16*a*b^3*c^3 + 4*a*b*c^5 - 3*(8*a^2*b + b^3)*c^4 + 4*(8*a^2*b^3 + b^5)*c^2)*x^3 - (32*a*b^6 + 32*a*b^4*c^2 - 24*a*b^2*c^4 + (8*a^2 + b^2)*c^5 + 4*(8*a^2*b^2 + b^4)*c^3 - 12*(8*a^2*b^4 + b^6)*c)*x^2 - 2*(8*a^2*b^4 - b^6)*c + (32*a^2*b^5 + 4*b^7 - 48*a*b^5*c + 16*a*b^3*c^3 + 4*a*b*c^5 - 3*(8*a^2*b + b^3)*c^4 + 4*(8*a^2*b^3 + b^5)*c^2)*x)*sqrt(b^2/(4*b^4 - 4*b^2*c^2 + c^4)) - 8*(8*a^3*b^2 - a*b^4)*c + 2*(16*a*b^5 + 24*a*b^3*c^2 - (8*a^2*b + b^3)*c^3 - 6*(8*a^2*b^3 + b^5)*c)*x)*sqrt((2*sqrt(1/2)*(2*b^2 - c^2)*sqrt(b^2/(4*b^4 - 4*b^2*c^2 + c^4)) - c)/(2*b^2 - c^2)))/(x^4 + 1)) - 1/4*sqrt((2*sqrt(1/2)*(2*b^2 - c^2)*sqrt(b^2/(4*b^4 - 4*b^2*c^2 + c^4)) - c)/(2*b^2 - c^2))*log(-(2*(16*a^2*b^3 + 2*b^5 - 16*a*b^3*c + (8*a^2*b + b^3)*c^2 + (16*a^2*b^3 + 2*b^5 - 16*a*b^3*c + (8*a^2*b + b^3)*c^2)*x^2 - 2*sqrt(1/2)*(16*a*b^5 - 4*a*b*c^4 + 2*(8*a^2*b + b^3)*c^3 + 2*(8*a*b^5 - 2*a*b*c^4 + (8*a^2*b + b^3)*c^3 - 2*(8*a^2*b^3 + b^5)*c)*x^2 - 4*(8*a^2*b^3 + b^5)*c - (32*a^2*b^4 + 4*b^6 - 32*a*b^4*c + 16*a*b^2*c^3 - (8*a^2 + b^2)*c^4)*x)*sqrt(b^2/(4*b^4 - 4*b^2*c^2 + c^4)) - 4*(4*a*b^4 + 2*a*b^2*c^2 - (8*a^2*b^2 + b^4)*c)*x)*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a) - (16*a^2*b^4 - 2*b^6 + (16*a^2*b^4 - 2*b^6 + (8*a^2*b^2 - b^4)*c^2 - 8*(8*a^3*b^2 - a*b^4)*c)*x^4 + 2*(16*a*b^5 + 24*a*b^3*c^2 - (8*a^2*b + b^3)*c^3 - 6*(8*a^2*b^3 + b^5)*c)*x^3 + (8*a^2*b^2 - b^4)*c^2 - 4*(16*a^2*b^4 + 2*b^6 - 24*a*b^4*c - 4*a*b^2*c^3 + 3*(8*a^2*b^2 + b^4)*c^2)*x^2 - 4*sqrt(1/2)*(32*a^3*b^4 - 4*a*b^6 - (8*a^3 - a*b^2)*c^4 + (32*a^3*b^4 - 4*a*b^6 - (8*a^3 - a*b^2)*c^4 + (8*a^2*b^2 - b^4)*c^3 - 2*(8*a^2*b^4 - b^6)*c)*x^4 + (8*a^2*b^2 - b^4)*c^3 + (32*a^2*b^5 + 4*b^7 - 48*a*b^5*c + 16*a*b^3*c^3 + 4*a*b*c^5 - 3*(8*a^2*b + b^3)*c^4 + 4*(8*a^2*b^3 + b^5)*c^2)*x^3 - (32*a*b^6 + 32*a*b^4*c^2 - 24*a*b^2*c^4 + (8*a^2 + b^2)*c^5 + 4*(8*a^2*b^2 + b^4)*c^3 - 12*(8*a^2*b^4 + b^6)*c)*x^2 - 2*(8*a^2*b^4 - b^6)*c + (32*a^2*b^5 + 4*b^7 - 48*a*b^5*c + 16*a*b^3*c^3 + 4*a*b*c^5 - 3*(8*a^2*b + b^3)*c^4 + 4*(8*a^2*b^3 + b^5)*c^2)*x)*sqrt(b^2/(4*b^4 - 4*b^2*c^2 + c^4)) - 8*(8*a^3*b^2 - a*b^4)*c + 2*(16*a*b^5 + 24*a*b^3*c^2 - (8*a^2*b + b^3)*c^3 - 6*(8*a^2*b^3 + b^5)*c)*x)*sqrt((2*sqrt(1/2)*(2*b^2 - c^2)*sqrt(b^2/(4*b^4 - 4*b^2*c^2 + c^4)) - c)/(2*b^2 - c^2)))/(x^4 + 1))","B",0
2675,-1,0,0,0.000000," ","integrate(((k^2-2)*x+k^2*x^3)/((-x^2+1)*(-k^2*x^2+1))^(1/3)/(-1+d+(k^2-2*d)*x^2+d*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2676,-1,0,0,0.000000," ","integrate(((2*k^2-1)*x-2*k^4*x^3+k^4*x^5)/((-x^2+1)*(-k^2*x^2+1))^(2/3)/(1-d+(-2*k^2+d)*x^2+k^4*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2677,-1,0,0,0.000000," ","integrate((x^6-2)*(x^6-x^4+1)/(x^6+1)^(1/4)/(x^12+x^8+2*x^6+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2678,-1,0,0,0.000000," ","integrate((2*p*x^3-q)*(a*p*x^3+a*q+b*x)*(p^2*x^6+2*p*q*x^3-2*p*q*x^2+q^2)^(1/2)/x^3/(c*p*x^3+c*q+d*x),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2679,1,420,0,4.025773," ","integrate((x^2-1)/(x^2+1)/(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, {\left(x^{3} - \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} - 2 \, \sqrt{\sqrt{2} + 1} \arctan\left(\frac{{\left(2 \, x^{2} - {\left(x^{2} + \sqrt{2} + 1\right)} \sqrt{-8 \, \sqrt{2} + 12} + \sqrt{x^{4} + 1} {\left(\sqrt{-8 \, \sqrt{2} + 12} - 2\right)} + 2 \, \sqrt{2} - 2\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} + 1}}{4 \, x}\right) - \sqrt{2} \arctan\left(-\frac{{\left(\sqrt{2} x^{2} - \sqrt{2} \sqrt{x^{4} + 1}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{2 \, x}\right) + \frac{1}{8} \, \sqrt{2} \log\left(4 \, x^{4} + 4 \, \sqrt{x^{4} + 1} x^{2} + 2 \, {\left(\sqrt{2} x^{3} + \sqrt{2} \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 1\right) - \frac{1}{2} \, \sqrt{\sqrt{2} - 1} \log\left(\frac{2 \, {\left(\sqrt{2} x^{2} + 2 \, x^{2} + {\left(x^{3} + \sqrt{2} {\left(x^{3} + 2 \, x\right)} - \sqrt{x^{4} + 1} {\left(\sqrt{2} x + x\right)} + 3 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} - 1} + \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)}\right)}}{x^{2} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} \log\left(\frac{2 \, {\left(\sqrt{2} x^{2} + 2 \, x^{2} - {\left(x^{3} + \sqrt{2} {\left(x^{3} + 2 \, x\right)} - \sqrt{x^{4} + 1} {\left(\sqrt{2} x + x\right)} + 3 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} - 1} + \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)}\right)}}{x^{2} + 1}\right)"," ",0,"-1/2*(x^3 - sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) - 2*sqrt(sqrt(2) + 1)*arctan(1/4*(2*x^2 - (x^2 + sqrt(2) + 1)*sqrt(-8*sqrt(2) + 12) + sqrt(x^4 + 1)*(sqrt(-8*sqrt(2) + 12) - 2) + 2*sqrt(2) - 2)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) + 1)/x) - sqrt(2)*arctan(-1/2*(sqrt(2)*x^2 - sqrt(2)*sqrt(x^4 + 1))*sqrt(x^2 + sqrt(x^4 + 1))/x) + 1/8*sqrt(2)*log(4*x^4 + 4*sqrt(x^4 + 1)*x^2 + 2*(sqrt(2)*x^3 + sqrt(2)*sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1) - 1/2*sqrt(sqrt(2) - 1)*log(2*(sqrt(2)*x^2 + 2*x^2 + (x^3 + sqrt(2)*(x^3 + 2*x) - sqrt(x^4 + 1)*(sqrt(2)*x + x) + 3*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) - 1) + sqrt(x^4 + 1)*(sqrt(2) + 1))/(x^2 + 1)) + 1/2*sqrt(sqrt(2) - 1)*log(2*(sqrt(2)*x^2 + 2*x^2 - (x^3 + sqrt(2)*(x^3 + 2*x) - sqrt(x^4 + 1)*(sqrt(2)*x + x) + 3*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) - 1) + sqrt(x^4 + 1)*(sqrt(2) + 1))/(x^2 + 1))","B",0
2680,1,399,0,3.010412," ","integrate((x^2-1)*(x^2+(x^4+1)^(1/2))^(1/2)/(x^2+1),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{x^{2} + \sqrt{x^{4} + 1}} x - 2 \, \sqrt{\sqrt{2} - 1} \arctan\left(\frac{{\left(2 \, \sqrt{2} x^{2} + 2 \, x^{2} + \sqrt{x^{4} + 1} {\left({\left(\sqrt{2} + 1\right)} \sqrt{-8 \, \sqrt{2} + 12} - 2 \, \sqrt{2} - 2\right)} - {\left(x^{2} + \sqrt{2} {\left(x^{2} + 2\right)} + 3\right)} \sqrt{-8 \, \sqrt{2} + 12} + 2\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} - 1}}{4 \, x}\right) - \frac{1}{4} \, \sqrt{2} \arctan\left(-\frac{{\left(\sqrt{2} x^{2} - \sqrt{2} \sqrt{x^{4} + 1}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{2 \, x}\right) + \frac{1}{2} \, \sqrt{2} \log\left(4 \, x^{4} + 4 \, \sqrt{x^{4} + 1} x^{2} - 2 \, {\left(\sqrt{2} x^{3} + \sqrt{2} \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 1\right) + \frac{1}{2} \, \sqrt{\sqrt{2} + 1} \log\left(\frac{2 \, {\left(\sqrt{2} x^{2} + 2 \, x^{2} + {\left(x^{3} + \sqrt{2} x - \sqrt{x^{4} + 1} x + x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} + 1} + \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)}\right)}}{x^{2} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} \log\left(\frac{2 \, {\left(\sqrt{2} x^{2} + 2 \, x^{2} - {\left(x^{3} + \sqrt{2} x - \sqrt{x^{4} + 1} x + x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} + 1} + \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)}\right)}}{x^{2} + 1}\right)"," ",0,"1/2*sqrt(x^2 + sqrt(x^4 + 1))*x - 2*sqrt(sqrt(2) - 1)*arctan(1/4*(2*sqrt(2)*x^2 + 2*x^2 + sqrt(x^4 + 1)*((sqrt(2) + 1)*sqrt(-8*sqrt(2) + 12) - 2*sqrt(2) - 2) - (x^2 + sqrt(2)*(x^2 + 2) + 3)*sqrt(-8*sqrt(2) + 12) + 2)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) - 1)/x) - 1/4*sqrt(2)*arctan(-1/2*(sqrt(2)*x^2 - sqrt(2)*sqrt(x^4 + 1))*sqrt(x^2 + sqrt(x^4 + 1))/x) + 1/2*sqrt(2)*log(4*x^4 + 4*sqrt(x^4 + 1)*x^2 - 2*(sqrt(2)*x^3 + sqrt(2)*sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1) + 1/2*sqrt(sqrt(2) + 1)*log(2*(sqrt(2)*x^2 + 2*x^2 + (x^3 + sqrt(2)*x - sqrt(x^4 + 1)*x + x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) + 1) + sqrt(x^4 + 1)*(sqrt(2) + 1))/(x^2 + 1)) - 1/2*sqrt(sqrt(2) + 1)*log(2*(sqrt(2)*x^2 + 2*x^2 - (x^3 + sqrt(2)*x - sqrt(x^4 + 1)*x + x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) + 1) + sqrt(x^4 + 1)*(sqrt(2) + 1))/(x^2 + 1))","B",0
2681,1,118,0,0.518387," ","integrate((x^2+1)^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{1}{40320} \, {\left(1120 \, x^{2} - 2 \, \sqrt{x^{2} + 1} {\left(9520 \, x + 141\right)} + {\left(1680 \, x^{2} - 5 \, \sqrt{x^{2} + 1} {\left(336 \, x - 187\right)} - 2215 \, x - 184\right)} \sqrt{x + \sqrt{x^{2} + 1}} + 1818 \, x - 78032\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \frac{251}{256} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) + \frac{251}{256} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right)"," ",0,"-1/40320*(1120*x^2 - 2*sqrt(x^2 + 1)*(9520*x + 141) + (1680*x^2 - 5*sqrt(x^2 + 1)*(336*x - 187) - 2215*x - 184)*sqrt(x + sqrt(x^2 + 1)) + 1818*x - 78032)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 251/256*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) + 251/256*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1)","A",0
2682,1,167,0,0.579120," ","integrate(x*(-a+x)/(x^2*(-a+x))^(2/3)/(a^2*d-2*a*d*x+(-1+d)*x^2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} {\left(d^{2}\right)}^{\frac{1}{6}} d \arctan\left(\frac{\sqrt{3} {\left({\left(d^{2}\right)}^{\frac{1}{3}} x^{2} + 2 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d\right)} {\left(d^{2}\right)}^{\frac{1}{6}}}{3 \, d x^{2}}\right) - {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(\frac{{\left(d^{2}\right)}^{\frac{2}{3}} x^{2} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} {\left(d^{2}\right)}^{\frac{1}{3}} d - {\left(a d^{2} - d^{2} x\right)} {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}}}{x^{2}}\right) + 2 \, {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(-\frac{{\left(d^{2}\right)}^{\frac{1}{3}} x^{2} - {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d}{x^{2}}\right)}{4 \, a d^{2}}"," ",0,"1/4*(2*sqrt(3)*(d^2)^(1/6)*d*arctan(1/3*sqrt(3)*((d^2)^(1/3)*x^2 + 2*(-a*x^2 + x^3)^(2/3)*d)*(d^2)^(1/6)/(d*x^2)) - (d^2)^(2/3)*log(((d^2)^(2/3)*x^2 + (-a*x^2 + x^3)^(2/3)*(d^2)^(1/3)*d - (a*d^2 - d^2*x)*(-a*x^2 + x^3)^(1/3))/x^2) + 2*(d^2)^(2/3)*log(-((d^2)^(1/3)*x^2 - (-a*x^2 + x^3)^(2/3)*d)/x^2))/(a*d^2)","A",0
2683,1,372,0,0.526003," ","integrate(x/(x^2*(-a+x))^(1/3)/(a^2*d-2*a*d*x+(-1+d)*x^2),x, algorithm=""fricas"")","\left[\frac{\sqrt{3} d \sqrt{-\frac{1}{d^{\frac{2}{3}}}} \log\left(\frac{2 \, a^{2} d - 4 \, a d x + {\left(2 \, d + 1\right)} x^{2} + \sqrt{3} {\left(d^{\frac{1}{3}} x^{2} + 2 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} {\left(a d - d x\right)} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d^{\frac{2}{3}}\right)} \sqrt{-\frac{1}{d^{\frac{2}{3}}}} - 3 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d^{\frac{1}{3}}}{a^{2} d - 2 \, a d x + {\left(d - 1\right)} x^{2}}\right) + 2 \, d^{\frac{2}{3}} \log\left(-\frac{d^{\frac{2}{3}} x^{2} - {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d}{x^{2}}\right) - d^{\frac{2}{3}} \log\left(\frac{d^{\frac{1}{3}} x^{2} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} {\left(a d - d x\right)} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d^{\frac{2}{3}}}{x^{2}}\right)}{4 \, a d}, -\frac{2 \, \sqrt{3} d^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(d^{\frac{1}{3}} x^{2} + 2 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d^{\frac{2}{3}}\right)}}{3 \, d^{\frac{1}{3}} x^{2}}\right) - 2 \, d^{\frac{2}{3}} \log\left(-\frac{d^{\frac{2}{3}} x^{2} - {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d}{x^{2}}\right) + d^{\frac{2}{3}} \log\left(\frac{d^{\frac{1}{3}} x^{2} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} {\left(a d - d x\right)} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d^{\frac{2}{3}}}{x^{2}}\right)}{4 \, a d}\right]"," ",0,"[1/4*(sqrt(3)*d*sqrt(-1/d^(2/3))*log((2*a^2*d - 4*a*d*x + (2*d + 1)*x^2 + sqrt(3)*(d^(1/3)*x^2 + 2*(-a*x^2 + x^3)^(1/3)*(a*d - d*x) + (-a*x^2 + x^3)^(2/3)*d^(2/3))*sqrt(-1/d^(2/3)) - 3*(-a*x^2 + x^3)^(2/3)*d^(1/3))/(a^2*d - 2*a*d*x + (d - 1)*x^2)) + 2*d^(2/3)*log(-(d^(2/3)*x^2 - (-a*x^2 + x^3)^(2/3)*d)/x^2) - d^(2/3)*log((d^(1/3)*x^2 - (-a*x^2 + x^3)^(1/3)*(a*d - d*x) + (-a*x^2 + x^3)^(2/3)*d^(2/3))/x^2))/(a*d), -1/4*(2*sqrt(3)*d^(2/3)*arctan(1/3*sqrt(3)*(d^(1/3)*x^2 + 2*(-a*x^2 + x^3)^(2/3)*d^(2/3))/(d^(1/3)*x^2)) - 2*d^(2/3)*log(-(d^(2/3)*x^2 - (-a*x^2 + x^3)^(2/3)*d)/x^2) + d^(2/3)*log((d^(1/3)*x^2 - (-a*x^2 + x^3)^(1/3)*(a*d - d*x) + (-a*x^2 + x^3)^(2/3)*d^(2/3))/x^2))/(a*d)]","A",0
2684,1,167,0,0.669923," ","integrate((-a*x+x^2)/(x^2*(-a+x))^(2/3)/(a^2*d-2*a*d*x+(-1+d)*x^2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} {\left(d^{2}\right)}^{\frac{1}{6}} d \arctan\left(\frac{\sqrt{3} {\left({\left(d^{2}\right)}^{\frac{1}{3}} x^{2} + 2 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d\right)} {\left(d^{2}\right)}^{\frac{1}{6}}}{3 \, d x^{2}}\right) - {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(\frac{{\left(d^{2}\right)}^{\frac{2}{3}} x^{2} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} {\left(d^{2}\right)}^{\frac{1}{3}} d - {\left(a d^{2} - d^{2} x\right)} {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}}}{x^{2}}\right) + 2 \, {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(-\frac{{\left(d^{2}\right)}^{\frac{1}{3}} x^{2} - {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d}{x^{2}}\right)}{4 \, a d^{2}}"," ",0,"1/4*(2*sqrt(3)*(d^2)^(1/6)*d*arctan(1/3*sqrt(3)*((d^2)^(1/3)*x^2 + 2*(-a*x^2 + x^3)^(2/3)*d)*(d^2)^(1/6)/(d*x^2)) - (d^2)^(2/3)*log(((d^2)^(2/3)*x^2 + (-a*x^2 + x^3)^(2/3)*(d^2)^(1/3)*d - (a*d^2 - d^2*x)*(-a*x^2 + x^3)^(1/3))/x^2) + 2*(d^2)^(2/3)*log(-((d^2)^(1/3)*x^2 - (-a*x^2 + x^3)^(2/3)*d)/x^2))/(a*d^2)","A",0
2685,1,370,0,2.495723," ","integrate((-1+x)/(1+x)/(x^3-1)^(1/3),x, algorithm=""fricas"")","\frac{1}{6} \cdot 4^{\frac{1}{3}} \sqrt{3} \arctan\left(\frac{4 \cdot 4^{\frac{2}{3}} \sqrt{3} {\left(x^{4} + 2 \, x^{3} + 2 \, x^{2} + 2 \, x + 1\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} + 2 \cdot 4^{\frac{1}{3}} \sqrt{3} {\left(5 \, x^{5} - 5 \, x^{4} + 6 \, x^{3} - 6 \, x^{2} + 5 \, x - 5\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}} + \sqrt{3} {\left(13 \, x^{6} + 2 \, x^{5} + 19 \, x^{4} - 4 \, x^{3} + 19 \, x^{2} + 2 \, x + 13\right)}}{3 \, {\left(3 \, x^{6} - 18 \, x^{5} - 3 \, x^{4} - 28 \, x^{3} - 3 \, x^{2} - 18 \, x + 3\right)}}\right) + \frac{1}{3} \, \sqrt{3} \arctan\left(-\frac{4 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} - 2 \, \sqrt{3} {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + \sqrt{3} {\left(x^{3} - 1\right)}}{9 \, x^{3} - 1}\right) - \frac{1}{12} \cdot 4^{\frac{1}{3}} \log\left(\frac{8 \cdot 4^{\frac{1}{3}} {\left(x^{3} - 1\right)}^{\frac{2}{3}} {\left(x^{2} + 1\right)} + 4^{\frac{2}{3}} {\left(5 \, x^{4} + 6 \, x^{2} + 5\right)} + 4 \, {\left(3 \, x^{3} - x^{2} + x - 3\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right) + \frac{1}{6} \cdot 4^{\frac{1}{3}} \log\left(\frac{4^{\frac{2}{3}} {\left(x^{3} - 1\right)}^{\frac{1}{3}} {\left(x - 1\right)} + 4^{\frac{1}{3}} {\left(x^{2} + 2 \, x + 1\right)} - 4 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2} + 2 \, x + 1}\right) - \frac{1}{6} \, \log\left(-3 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + 1\right)"," ",0,"1/6*4^(1/3)*sqrt(3)*arctan(1/3*(4*4^(2/3)*sqrt(3)*(x^4 + 2*x^3 + 2*x^2 + 2*x + 1)*(x^3 - 1)^(2/3) + 2*4^(1/3)*sqrt(3)*(5*x^5 - 5*x^4 + 6*x^3 - 6*x^2 + 5*x - 5)*(x^3 - 1)^(1/3) + sqrt(3)*(13*x^6 + 2*x^5 + 19*x^4 - 4*x^3 + 19*x^2 + 2*x + 13))/(3*x^6 - 18*x^5 - 3*x^4 - 28*x^3 - 3*x^2 - 18*x + 3)) + 1/3*sqrt(3)*arctan(-(4*sqrt(3)*(x^3 - 1)^(1/3)*x^2 - 2*sqrt(3)*(x^3 - 1)^(2/3)*x + sqrt(3)*(x^3 - 1))/(9*x^3 - 1)) - 1/12*4^(1/3)*log((8*4^(1/3)*(x^3 - 1)^(2/3)*(x^2 + 1) + 4^(2/3)*(5*x^4 + 6*x^2 + 5) + 4*(3*x^3 - x^2 + x - 3)*(x^3 - 1)^(1/3))/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1)) + 1/6*4^(1/3)*log((4^(2/3)*(x^3 - 1)^(1/3)*(x - 1) + 4^(1/3)*(x^2 + 2*x + 1) - 4*(x^3 - 1)^(2/3))/(x^2 + 2*x + 1)) - 1/6*log(-3*(x^3 - 1)^(1/3)*x^2 + 3*(x^3 - 1)^(2/3)*x + 1)","A",0
2686,1,222,0,0.488549," ","integrate((x^2+1)*(x^3-x^2)^(1/3)/(x^2-1),x, algorithm=""fricas"")","-\sqrt{3} 2^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} 2^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + \sqrt{3} x}{3 \, x}\right) + \frac{17}{9} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{1}{6} \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(3 \, x - 1\right)} + 2^{\frac{1}{3}} \log\left(-\frac{2^{\frac{1}{3}} x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{2} \cdot 2^{\frac{1}{3}} \log\left(\frac{2^{\frac{2}{3}} x^{2} + 2^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - \frac{17}{9} \, \log\left(-\frac{x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{17}{18} \, \log\left(\frac{x^{2} + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-sqrt(3)*2^(1/3)*arctan(1/3*(sqrt(3)*2^(2/3)*(x^3 - x^2)^(1/3) + sqrt(3)*x)/x) + 17/9*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 - x^2)^(1/3))/x) + 1/6*(x^3 - x^2)^(1/3)*(3*x - 1) + 2^(1/3)*log(-(2^(1/3)*x - (x^3 - x^2)^(1/3))/x) - 1/2*2^(1/3)*log((2^(2/3)*x^2 + 2^(1/3)*(x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(2/3))/x^2) - 17/9*log(-(x - (x^3 - x^2)^(1/3))/x) + 17/18*log((x^2 + (x^3 - x^2)^(1/3)*x + (x^3 - x^2)^(2/3))/x^2)","A",0
2687,-1,0,0,0.000000," ","integrate((a*x^4+b)/(x^4-a*x^2-b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2688,-1,0,0,0.000000," ","integrate((a*x^4+b)/(x^4-a*x^2-b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2689,-1,0,0,0.000000," ","integrate(((-2*k^2+1)*x+k^2*x^3)/((-x^2+1)*(-k^2*x^2+1))^(1/3)/(1-d+(-2*k^2+d)*x^2+k^4*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2690,-1,0,0,0.000000," ","integrate(((-k^2+2)*x-2*x^3+k^2*x^5)/((-x^2+1)*(-k^2*x^2+1))^(2/3)/(-1+d+(k^2-2*d)*x^2+d*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2691,1,336,0,156.936648," ","integrate(1/x^4/(b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{15 \, \sqrt{\frac{1}{2}} a^{2} x^{5} \sqrt{-\frac{a}{b}} \log\left(-\frac{a^{2} x^{3} + 4 \, a b^{2} x - 4 \, \sqrt{a x^{2} + b^{2}} a b x - 4 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{a x^{2} + b^{2}} b^{2} \sqrt{-\frac{a}{b}} - \sqrt{\frac{1}{2}} {\left(a b x^{2} + 2 \, b^{3}\right)} \sqrt{-\frac{a}{b}}\right)} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{x^{3}}\right) + 2 \, {\left(15 \, a^{2} x^{4} + 2 \, a b^{2} x^{2} + 48 \, b^{4} - 2 \, {\left(5 \, a b x^{2} + 24 \, b^{3}\right)} \sqrt{a x^{2} + b^{2}}\right)} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{384 \, a b^{3} x^{5}}, -\frac{15 \, \sqrt{\frac{1}{2}} a^{2} x^{5} \sqrt{\frac{a}{b}} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{b + \sqrt{a x^{2} + b^{2}}} b \sqrt{\frac{a}{b}}}{a x}\right) - {\left(15 \, a^{2} x^{4} + 2 \, a b^{2} x^{2} + 48 \, b^{4} - 2 \, {\left(5 \, a b x^{2} + 24 \, b^{3}\right)} \sqrt{a x^{2} + b^{2}}\right)} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{192 \, a b^{3} x^{5}}\right]"," ",0,"[1/384*(15*sqrt(1/2)*a^2*x^5*sqrt(-a/b)*log(-(a^2*x^3 + 4*a*b^2*x - 4*sqrt(a*x^2 + b^2)*a*b*x - 4*(2*sqrt(1/2)*sqrt(a*x^2 + b^2)*b^2*sqrt(-a/b) - sqrt(1/2)*(a*b*x^2 + 2*b^3)*sqrt(-a/b))*sqrt(b + sqrt(a*x^2 + b^2)))/x^3) + 2*(15*a^2*x^4 + 2*a*b^2*x^2 + 48*b^4 - 2*(5*a*b*x^2 + 24*b^3)*sqrt(a*x^2 + b^2))*sqrt(b + sqrt(a*x^2 + b^2)))/(a*b^3*x^5), -1/192*(15*sqrt(1/2)*a^2*x^5*sqrt(a/b)*arctan(2*sqrt(1/2)*sqrt(b + sqrt(a*x^2 + b^2))*b*sqrt(a/b)/(a*x)) - (15*a^2*x^4 + 2*a*b^2*x^2 + 48*b^4 - 2*(5*a*b*x^2 + 24*b^3)*sqrt(a*x^2 + b^2))*sqrt(b + sqrt(a*x^2 + b^2)))/(a*b^3*x^5)]","A",0
2692,-1,0,0,0.000000," ","integrate((-a*(a-5*b)-(3*a+5*b)*x+4*x^2)/((-a+x)*(-b+x))^(1/3)/(-a^5+b*d-(-5*a^4+d)*x-10*a^3*x^2+10*a^2*x^3-5*a*x^4+x^5),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2693,1,1800,0,99.223914," ","integrate(x^6*(x^4-x)^(1/2)/(a*x^6+b),x, algorithm=""fricas"")","\frac{a \sqrt{\frac{a^{3} \sqrt{-\frac{b}{a^{5}}} - b}{a^{3}}} \log\left(-\frac{2 \, {\left({\left(9 \, a^{4} b + 73 \, a^{3} b^{2} + 279 \, a^{2} b^{3} + 567 \, a b^{4}\right)} x^{4} + {\left(a^{4} b - 12 \, a^{3} b^{2} - 120 \, a^{2} b^{3} - 216 \, a b^{4} + 243 \, b^{5}\right)} x + {\left({\left(a^{7} - 12 \, a^{6} b - 120 \, a^{5} b^{2} - 216 \, a^{4} b^{3} + 243 \, a^{3} b^{4}\right)} x^{4} - {\left(9 \, a^{6} b + 73 \, a^{5} b^{2} + 279 \, a^{4} b^{3} + 567 \, a^{3} b^{4}\right)} x\right)} \sqrt{-\frac{b}{a^{5}}}\right)} \sqrt{x^{4} - x} + {\left({\left(a^{6} - 2 \, a^{5} b - 69 \, a^{4} b^{2} - 108 \, a^{3} b^{3} + 486 \, a^{2} b^{4}\right)} x^{6} - a^{5} b + 22 \, a^{4} b^{2} + 171 \, a^{3} b^{3} + 324 \, a^{2} b^{4} - 2 \, {\left(9 \, a^{5} b + 73 \, a^{4} b^{2} + 279 \, a^{3} b^{3} + 567 \, a^{2} b^{4}\right)} x^{3} + {\left(10 \, a^{7} b + 51 \, a^{6} b^{2} + 108 \, a^{5} b^{3} + 243 \, a^{4} b^{4} - {\left(8 \, a^{8} + 95 \, a^{7} b + 450 \, a^{6} b^{2} + 891 \, a^{5} b^{3}\right)} x^{6} - 2 \, {\left(a^{8} - 12 \, a^{7} b - 120 \, a^{6} b^{2} - 216 \, a^{5} b^{3} + 243 \, a^{4} b^{4}\right)} x^{3}\right)} \sqrt{-\frac{b}{a^{5}}}\right)} \sqrt{\frac{a^{3} \sqrt{-\frac{b}{a^{5}}} - b}{a^{3}}}}{a x^{6} + b}\right) - a \sqrt{\frac{a^{3} \sqrt{-\frac{b}{a^{5}}} - b}{a^{3}}} \log\left(-\frac{2 \, {\left({\left(9 \, a^{4} b + 73 \, a^{3} b^{2} + 279 \, a^{2} b^{3} + 567 \, a b^{4}\right)} x^{4} + {\left(a^{4} b - 12 \, a^{3} b^{2} - 120 \, a^{2} b^{3} - 216 \, a b^{4} + 243 \, b^{5}\right)} x + {\left({\left(a^{7} - 12 \, a^{6} b - 120 \, a^{5} b^{2} - 216 \, a^{4} b^{3} + 243 \, a^{3} b^{4}\right)} x^{4} - {\left(9 \, a^{6} b + 73 \, a^{5} b^{2} + 279 \, a^{4} b^{3} + 567 \, a^{3} b^{4}\right)} x\right)} \sqrt{-\frac{b}{a^{5}}}\right)} \sqrt{x^{4} - x} - {\left({\left(a^{6} - 2 \, a^{5} b - 69 \, a^{4} b^{2} - 108 \, a^{3} b^{3} + 486 \, a^{2} b^{4}\right)} x^{6} - a^{5} b + 22 \, a^{4} b^{2} + 171 \, a^{3} b^{3} + 324 \, a^{2} b^{4} - 2 \, {\left(9 \, a^{5} b + 73 \, a^{4} b^{2} + 279 \, a^{3} b^{3} + 567 \, a^{2} b^{4}\right)} x^{3} + {\left(10 \, a^{7} b + 51 \, a^{6} b^{2} + 108 \, a^{5} b^{3} + 243 \, a^{4} b^{4} - {\left(8 \, a^{8} + 95 \, a^{7} b + 450 \, a^{6} b^{2} + 891 \, a^{5} b^{3}\right)} x^{6} - 2 \, {\left(a^{8} - 12 \, a^{7} b - 120 \, a^{6} b^{2} - 216 \, a^{5} b^{3} + 243 \, a^{4} b^{4}\right)} x^{3}\right)} \sqrt{-\frac{b}{a^{5}}}\right)} \sqrt{\frac{a^{3} \sqrt{-\frac{b}{a^{5}}} - b}{a^{3}}}}{a x^{6} + b}\right) + a \sqrt{-\frac{a^{3} \sqrt{-\frac{b}{a^{5}}} + b}{a^{3}}} \log\left(-\frac{2 \, {\left({\left(9 \, a^{4} b + 73 \, a^{3} b^{2} + 279 \, a^{2} b^{3} + 567 \, a b^{4}\right)} x^{4} + {\left(a^{4} b - 12 \, a^{3} b^{2} - 120 \, a^{2} b^{3} - 216 \, a b^{4} + 243 \, b^{5}\right)} x - {\left({\left(a^{7} - 12 \, a^{6} b - 120 \, a^{5} b^{2} - 216 \, a^{4} b^{3} + 243 \, a^{3} b^{4}\right)} x^{4} - {\left(9 \, a^{6} b + 73 \, a^{5} b^{2} + 279 \, a^{4} b^{3} + 567 \, a^{3} b^{4}\right)} x\right)} \sqrt{-\frac{b}{a^{5}}}\right)} \sqrt{x^{4} - x} + {\left({\left(a^{6} - 2 \, a^{5} b - 69 \, a^{4} b^{2} - 108 \, a^{3} b^{3} + 486 \, a^{2} b^{4}\right)} x^{6} - a^{5} b + 22 \, a^{4} b^{2} + 171 \, a^{3} b^{3} + 324 \, a^{2} b^{4} - 2 \, {\left(9 \, a^{5} b + 73 \, a^{4} b^{2} + 279 \, a^{3} b^{3} + 567 \, a^{2} b^{4}\right)} x^{3} - {\left(10 \, a^{7} b + 51 \, a^{6} b^{2} + 108 \, a^{5} b^{3} + 243 \, a^{4} b^{4} - {\left(8 \, a^{8} + 95 \, a^{7} b + 450 \, a^{6} b^{2} + 891 \, a^{5} b^{3}\right)} x^{6} - 2 \, {\left(a^{8} - 12 \, a^{7} b - 120 \, a^{6} b^{2} - 216 \, a^{5} b^{3} + 243 \, a^{4} b^{4}\right)} x^{3}\right)} \sqrt{-\frac{b}{a^{5}}}\right)} \sqrt{-\frac{a^{3} \sqrt{-\frac{b}{a^{5}}} + b}{a^{3}}}}{a x^{6} + b}\right) - a \sqrt{-\frac{a^{3} \sqrt{-\frac{b}{a^{5}}} + b}{a^{3}}} \log\left(-\frac{2 \, {\left({\left(9 \, a^{4} b + 73 \, a^{3} b^{2} + 279 \, a^{2} b^{3} + 567 \, a b^{4}\right)} x^{4} + {\left(a^{4} b - 12 \, a^{3} b^{2} - 120 \, a^{2} b^{3} - 216 \, a b^{4} + 243 \, b^{5}\right)} x - {\left({\left(a^{7} - 12 \, a^{6} b - 120 \, a^{5} b^{2} - 216 \, a^{4} b^{3} + 243 \, a^{3} b^{4}\right)} x^{4} - {\left(9 \, a^{6} b + 73 \, a^{5} b^{2} + 279 \, a^{4} b^{3} + 567 \, a^{3} b^{4}\right)} x\right)} \sqrt{-\frac{b}{a^{5}}}\right)} \sqrt{x^{4} - x} - {\left({\left(a^{6} - 2 \, a^{5} b - 69 \, a^{4} b^{2} - 108 \, a^{3} b^{3} + 486 \, a^{2} b^{4}\right)} x^{6} - a^{5} b + 22 \, a^{4} b^{2} + 171 \, a^{3} b^{3} + 324 \, a^{2} b^{4} - 2 \, {\left(9 \, a^{5} b + 73 \, a^{4} b^{2} + 279 \, a^{3} b^{3} + 567 \, a^{2} b^{4}\right)} x^{3} - {\left(10 \, a^{7} b + 51 \, a^{6} b^{2} + 108 \, a^{5} b^{3} + 243 \, a^{4} b^{4} - {\left(8 \, a^{8} + 95 \, a^{7} b + 450 \, a^{6} b^{2} + 891 \, a^{5} b^{3}\right)} x^{6} - 2 \, {\left(a^{8} - 12 \, a^{7} b - 120 \, a^{6} b^{2} - 216 \, a^{5} b^{3} + 243 \, a^{4} b^{4}\right)} x^{3}\right)} \sqrt{-\frac{b}{a^{5}}}\right)} \sqrt{-\frac{a^{3} \sqrt{-\frac{b}{a^{5}}} + b}{a^{3}}}}{a x^{6} + b}\right) + 4 \, \sqrt{x^{4} - x} x + 2 \, \log\left(2 \, x^{3} - 2 \, \sqrt{x^{4} - x} x - 1\right)}{12 \, a}"," ",0,"1/12*(a*sqrt((a^3*sqrt(-b/a^5) - b)/a^3)*log(-(2*((9*a^4*b + 73*a^3*b^2 + 279*a^2*b^3 + 567*a*b^4)*x^4 + (a^4*b - 12*a^3*b^2 - 120*a^2*b^3 - 216*a*b^4 + 243*b^5)*x + ((a^7 - 12*a^6*b - 120*a^5*b^2 - 216*a^4*b^3 + 243*a^3*b^4)*x^4 - (9*a^6*b + 73*a^5*b^2 + 279*a^4*b^3 + 567*a^3*b^4)*x)*sqrt(-b/a^5))*sqrt(x^4 - x) + ((a^6 - 2*a^5*b - 69*a^4*b^2 - 108*a^3*b^3 + 486*a^2*b^4)*x^6 - a^5*b + 22*a^4*b^2 + 171*a^3*b^3 + 324*a^2*b^4 - 2*(9*a^5*b + 73*a^4*b^2 + 279*a^3*b^3 + 567*a^2*b^4)*x^3 + (10*a^7*b + 51*a^6*b^2 + 108*a^5*b^3 + 243*a^4*b^4 - (8*a^8 + 95*a^7*b + 450*a^6*b^2 + 891*a^5*b^3)*x^6 - 2*(a^8 - 12*a^7*b - 120*a^6*b^2 - 216*a^5*b^3 + 243*a^4*b^4)*x^3)*sqrt(-b/a^5))*sqrt((a^3*sqrt(-b/a^5) - b)/a^3))/(a*x^6 + b)) - a*sqrt((a^3*sqrt(-b/a^5) - b)/a^3)*log(-(2*((9*a^4*b + 73*a^3*b^2 + 279*a^2*b^3 + 567*a*b^4)*x^4 + (a^4*b - 12*a^3*b^2 - 120*a^2*b^3 - 216*a*b^4 + 243*b^5)*x + ((a^7 - 12*a^6*b - 120*a^5*b^2 - 216*a^4*b^3 + 243*a^3*b^4)*x^4 - (9*a^6*b + 73*a^5*b^2 + 279*a^4*b^3 + 567*a^3*b^4)*x)*sqrt(-b/a^5))*sqrt(x^4 - x) - ((a^6 - 2*a^5*b - 69*a^4*b^2 - 108*a^3*b^3 + 486*a^2*b^4)*x^6 - a^5*b + 22*a^4*b^2 + 171*a^3*b^3 + 324*a^2*b^4 - 2*(9*a^5*b + 73*a^4*b^2 + 279*a^3*b^3 + 567*a^2*b^4)*x^3 + (10*a^7*b + 51*a^6*b^2 + 108*a^5*b^3 + 243*a^4*b^4 - (8*a^8 + 95*a^7*b + 450*a^6*b^2 + 891*a^5*b^3)*x^6 - 2*(a^8 - 12*a^7*b - 120*a^6*b^2 - 216*a^5*b^3 + 243*a^4*b^4)*x^3)*sqrt(-b/a^5))*sqrt((a^3*sqrt(-b/a^5) - b)/a^3))/(a*x^6 + b)) + a*sqrt(-(a^3*sqrt(-b/a^5) + b)/a^3)*log(-(2*((9*a^4*b + 73*a^3*b^2 + 279*a^2*b^3 + 567*a*b^4)*x^4 + (a^4*b - 12*a^3*b^2 - 120*a^2*b^3 - 216*a*b^4 + 243*b^5)*x - ((a^7 - 12*a^6*b - 120*a^5*b^2 - 216*a^4*b^3 + 243*a^3*b^4)*x^4 - (9*a^6*b + 73*a^5*b^2 + 279*a^4*b^3 + 567*a^3*b^4)*x)*sqrt(-b/a^5))*sqrt(x^4 - x) + ((a^6 - 2*a^5*b - 69*a^4*b^2 - 108*a^3*b^3 + 486*a^2*b^4)*x^6 - a^5*b + 22*a^4*b^2 + 171*a^3*b^3 + 324*a^2*b^4 - 2*(9*a^5*b + 73*a^4*b^2 + 279*a^3*b^3 + 567*a^2*b^4)*x^3 - (10*a^7*b + 51*a^6*b^2 + 108*a^5*b^3 + 243*a^4*b^4 - (8*a^8 + 95*a^7*b + 450*a^6*b^2 + 891*a^5*b^3)*x^6 - 2*(a^8 - 12*a^7*b - 120*a^6*b^2 - 216*a^5*b^3 + 243*a^4*b^4)*x^3)*sqrt(-b/a^5))*sqrt(-(a^3*sqrt(-b/a^5) + b)/a^3))/(a*x^6 + b)) - a*sqrt(-(a^3*sqrt(-b/a^5) + b)/a^3)*log(-(2*((9*a^4*b + 73*a^3*b^2 + 279*a^2*b^3 + 567*a*b^4)*x^4 + (a^4*b - 12*a^3*b^2 - 120*a^2*b^3 - 216*a*b^4 + 243*b^5)*x - ((a^7 - 12*a^6*b - 120*a^5*b^2 - 216*a^4*b^3 + 243*a^3*b^4)*x^4 - (9*a^6*b + 73*a^5*b^2 + 279*a^4*b^3 + 567*a^3*b^4)*x)*sqrt(-b/a^5))*sqrt(x^4 - x) - ((a^6 - 2*a^5*b - 69*a^4*b^2 - 108*a^3*b^3 + 486*a^2*b^4)*x^6 - a^5*b + 22*a^4*b^2 + 171*a^3*b^3 + 324*a^2*b^4 - 2*(9*a^5*b + 73*a^4*b^2 + 279*a^3*b^3 + 567*a^2*b^4)*x^3 - (10*a^7*b + 51*a^6*b^2 + 108*a^5*b^3 + 243*a^4*b^4 - (8*a^8 + 95*a^7*b + 450*a^6*b^2 + 891*a^5*b^3)*x^6 - 2*(a^8 - 12*a^7*b - 120*a^6*b^2 - 216*a^5*b^3 + 243*a^4*b^4)*x^3)*sqrt(-b/a^5))*sqrt(-(a^3*sqrt(-b/a^5) + b)/a^3))/(a*x^6 + b)) + 4*sqrt(x^4 - x)*x + 2*log(2*x^3 - 2*sqrt(x^4 - x)*x - 1))/a","B",0
2694,1,1145,0,0.721603," ","integrate((a^6*x^6+b^6)/(a^2*x^3-b^2*x)^(1/2)/(a^6*x^6-b^6),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{2} \left(\frac{1}{3}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(3 \, \sqrt{2} \left(\frac{1}{3}\right)^{\frac{3}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}} - \sqrt{2} \left(\frac{1}{3}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x} - {\left(2 \, a^{2} x^{3} - 2 \, b^{2} x - {\left(3 \, \sqrt{2} \left(\frac{1}{3}\right)^{\frac{3}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}} + \sqrt{2} \left(\frac{1}{3}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{\frac{a^{4} x^{4} + a^{2} b^{2} x^{2} + b^{4} + 12 \, \sqrt{\frac{1}{3}} {\left(a^{4} b^{2} x^{3} - a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}} + 6 \, {\left(\sqrt{2} \left(\frac{1}{3}\right)^{\frac{1}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} + \sqrt{2} \left(\frac{1}{3}\right)^{\frac{3}{4}} {\left(a^{4} b^{2} x^{2} - a^{2} b^{4}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x}}{a^{4} x^{4} + a^{2} b^{2} x^{2} + b^{4}}}}{2 \, {\left(a^{2} x^{3} - b^{2} x\right)}}\right) + 4 \, \sqrt{2} \left(\frac{1}{3}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(3 \, \sqrt{2} \left(\frac{1}{3}\right)^{\frac{3}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}} - \sqrt{2} \left(\frac{1}{3}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + {\left(2 \, a^{2} x^{3} - 2 \, b^{2} x + {\left(3 \, \sqrt{2} \left(\frac{1}{3}\right)^{\frac{3}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}} + \sqrt{2} \left(\frac{1}{3}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{\frac{a^{4} x^{4} + a^{2} b^{2} x^{2} + b^{4} + 12 \, \sqrt{\frac{1}{3}} {\left(a^{4} b^{2} x^{3} - a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}} - 6 \, {\left(\sqrt{2} \left(\frac{1}{3}\right)^{\frac{1}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} + \sqrt{2} \left(\frac{1}{3}\right)^{\frac{3}{4}} {\left(a^{4} b^{2} x^{2} - a^{2} b^{4}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x}}{a^{4} x^{4} + a^{2} b^{2} x^{2} + b^{4}}}}{2 \, {\left(a^{2} x^{3} - b^{2} x\right)}}\right) + \sqrt{2} \left(\frac{1}{3}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} \log\left(\frac{a^{4} x^{4} + a^{2} b^{2} x^{2} + b^{4} + 12 \, \sqrt{\frac{1}{3}} {\left(a^{4} b^{2} x^{3} - a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}} + 6 \, {\left(\sqrt{2} \left(\frac{1}{3}\right)^{\frac{1}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} + \sqrt{2} \left(\frac{1}{3}\right)^{\frac{3}{4}} {\left(a^{4} b^{2} x^{2} - a^{2} b^{4}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x}}{a^{4} x^{4} + a^{2} b^{2} x^{2} + b^{4}}\right) - \sqrt{2} \left(\frac{1}{3}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} \log\left(\frac{a^{4} x^{4} + a^{2} b^{2} x^{2} + b^{4} + 12 \, \sqrt{\frac{1}{3}} {\left(a^{4} b^{2} x^{3} - a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}} - 6 \, {\left(\sqrt{2} \left(\frac{1}{3}\right)^{\frac{1}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} + \sqrt{2} \left(\frac{1}{3}\right)^{\frac{3}{4}} {\left(a^{4} b^{2} x^{2} - a^{2} b^{4}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x}}{a^{4} x^{4} + a^{2} b^{2} x^{2} + b^{4}}\right) + 8 \, \sqrt{a^{2} x^{3} - b^{2} x}}{12 \, {\left(a^{2} x^{2} - b^{2}\right)}}"," ",0,"-1/12*(4*sqrt(2)*(1/3)^(1/4)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4)*arctan(1/2*((3*sqrt(2)*(1/3)^(3/4)*a^2*b^2*x*(1/(a^2*b^2))^(3/4) - sqrt(2)*(1/3)^(1/4)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4))*sqrt(a^2*x^3 - b^2*x) - (2*a^2*x^3 - 2*b^2*x - (3*sqrt(2)*(1/3)^(3/4)*a^2*b^2*x*(1/(a^2*b^2))^(3/4) + sqrt(2)*(1/3)^(1/4)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4))*sqrt(a^2*x^3 - b^2*x))*sqrt((a^4*x^4 + a^2*b^2*x^2 + b^4 + 12*sqrt(1/3)*(a^4*b^2*x^3 - a^2*b^4*x)*sqrt(1/(a^2*b^2)) + 6*(sqrt(2)*(1/3)^(1/4)*a^2*b^2*x*(1/(a^2*b^2))^(1/4) + sqrt(2)*(1/3)^(3/4)*(a^4*b^2*x^2 - a^2*b^4)*(1/(a^2*b^2))^(3/4))*sqrt(a^2*x^3 - b^2*x))/(a^4*x^4 + a^2*b^2*x^2 + b^4)))/(a^2*x^3 - b^2*x)) + 4*sqrt(2)*(1/3)^(1/4)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4)*arctan(1/2*((3*sqrt(2)*(1/3)^(3/4)*a^2*b^2*x*(1/(a^2*b^2))^(3/4) - sqrt(2)*(1/3)^(1/4)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4))*sqrt(a^2*x^3 - b^2*x) + (2*a^2*x^3 - 2*b^2*x + (3*sqrt(2)*(1/3)^(3/4)*a^2*b^2*x*(1/(a^2*b^2))^(3/4) + sqrt(2)*(1/3)^(1/4)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4))*sqrt(a^2*x^3 - b^2*x))*sqrt((a^4*x^4 + a^2*b^2*x^2 + b^4 + 12*sqrt(1/3)*(a^4*b^2*x^3 - a^2*b^4*x)*sqrt(1/(a^2*b^2)) - 6*(sqrt(2)*(1/3)^(1/4)*a^2*b^2*x*(1/(a^2*b^2))^(1/4) + sqrt(2)*(1/3)^(3/4)*(a^4*b^2*x^2 - a^2*b^4)*(1/(a^2*b^2))^(3/4))*sqrt(a^2*x^3 - b^2*x))/(a^4*x^4 + a^2*b^2*x^2 + b^4)))/(a^2*x^3 - b^2*x)) + sqrt(2)*(1/3)^(1/4)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4)*log((a^4*x^4 + a^2*b^2*x^2 + b^4 + 12*sqrt(1/3)*(a^4*b^2*x^3 - a^2*b^4*x)*sqrt(1/(a^2*b^2)) + 6*(sqrt(2)*(1/3)^(1/4)*a^2*b^2*x*(1/(a^2*b^2))^(1/4) + sqrt(2)*(1/3)^(3/4)*(a^4*b^2*x^2 - a^2*b^4)*(1/(a^2*b^2))^(3/4))*sqrt(a^2*x^3 - b^2*x))/(a^4*x^4 + a^2*b^2*x^2 + b^4)) - sqrt(2)*(1/3)^(1/4)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4)*log((a^4*x^4 + a^2*b^2*x^2 + b^4 + 12*sqrt(1/3)*(a^4*b^2*x^3 - a^2*b^4*x)*sqrt(1/(a^2*b^2)) - 6*(sqrt(2)*(1/3)^(1/4)*a^2*b^2*x*(1/(a^2*b^2))^(1/4) + sqrt(2)*(1/3)^(3/4)*(a^4*b^2*x^2 - a^2*b^4)*(1/(a^2*b^2))^(3/4))*sqrt(a^2*x^3 - b^2*x))/(a^4*x^4 + a^2*b^2*x^2 + b^4)) + 8*sqrt(a^2*x^3 - b^2*x))/(a^2*x^2 - b^2)","B",0
2695,-1,0,0,0.000000," ","integrate((a^2*b-2*a^2*x+(2*a-b)*x^2)/(x*(-a+x)*(-b+x))^(2/3)/(a^2+(b*d-2*a)*x+(1-d)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2696,1,828,0,0.626863," ","integrate((a^6*x^6+b^6)/(a^2*x^3+b^2*x)^(1/2)/(a^6*x^6-b^6),x, algorithm=""fricas"")","\left[-\frac{2 \, \sqrt{2} a b \sqrt{\frac{1}{a b}} \arctan\left(\frac{2 \, \sqrt{2} \sqrt{a^{2} x^{3} + b^{2} x} a b \sqrt{\frac{1}{a b}}}{a^{2} x^{2} - 2 \, a b x + b^{2}}\right) - \sqrt{2} a b \sqrt{\frac{1}{a b}} \log\left(\frac{a^{4} x^{4} + 12 \, a^{3} b x^{3} + 6 \, a^{2} b^{2} x^{2} + 12 \, a b^{3} x + b^{4} - 4 \, \sqrt{2} {\left(a^{3} b x^{2} + 2 \, a^{2} b^{2} x + a b^{3}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{\frac{1}{a b}}}{a^{4} x^{4} - 4 \, a^{3} b x^{3} + 6 \, a^{2} b^{2} x^{2} - 4 \, a b^{3} x + b^{4}}\right) - 8 \, \sqrt{a b} \arctan\left(\frac{\sqrt{a^{2} x^{3} + b^{2} x} {\left(a^{2} x^{2} - a b x + b^{2}\right)} \sqrt{a b}}{2 \, {\left(a^{3} b x^{3} + a b^{3} x\right)}}\right) - 4 \, \sqrt{a b} \log\left(\frac{a^{4} x^{4} + 6 \, a^{3} b x^{3} + 3 \, a^{2} b^{2} x^{2} + 6 \, a b^{3} x + b^{4} - 4 \, \sqrt{a^{2} x^{3} + b^{2} x} {\left(a^{2} x^{2} + a b x + b^{2}\right)} \sqrt{a b}}{a^{4} x^{4} - 2 \, a^{3} b x^{3} + 3 \, a^{2} b^{2} x^{2} - 2 \, a b^{3} x + b^{4}}\right)}{24 \, a b}, \frac{2 \, \sqrt{2} a b \sqrt{-\frac{1}{a b}} \arctan\left(\frac{2 \, \sqrt{2} \sqrt{a^{2} x^{3} + b^{2} x} a b \sqrt{-\frac{1}{a b}}}{a^{2} x^{2} + 2 \, a b x + b^{2}}\right) + \sqrt{2} a b \sqrt{-\frac{1}{a b}} \log\left(\frac{a^{4} x^{4} - 12 \, a^{3} b x^{3} + 6 \, a^{2} b^{2} x^{2} - 12 \, a b^{3} x + b^{4} + 4 \, \sqrt{2} {\left(a^{3} b x^{2} - 2 \, a^{2} b^{2} x + a b^{3}\right)} \sqrt{a^{2} x^{3} + b^{2} x} \sqrt{-\frac{1}{a b}}}{a^{4} x^{4} + 4 \, a^{3} b x^{3} + 6 \, a^{2} b^{2} x^{2} + 4 \, a b^{3} x + b^{4}}\right) + 8 \, \sqrt{-a b} \arctan\left(\frac{\sqrt{a^{2} x^{3} + b^{2} x} {\left(a^{2} x^{2} + a b x + b^{2}\right)} \sqrt{-a b}}{2 \, {\left(a^{3} b x^{3} + a b^{3} x\right)}}\right) - 4 \, \sqrt{-a b} \log\left(\frac{a^{4} x^{4} - 6 \, a^{3} b x^{3} + 3 \, a^{2} b^{2} x^{2} - 6 \, a b^{3} x + b^{4} - 4 \, \sqrt{a^{2} x^{3} + b^{2} x} {\left(a^{2} x^{2} - a b x + b^{2}\right)} \sqrt{-a b}}{a^{4} x^{4} + 2 \, a^{3} b x^{3} + 3 \, a^{2} b^{2} x^{2} + 2 \, a b^{3} x + b^{4}}\right)}{24 \, a b}\right]"," ",0,"[-1/24*(2*sqrt(2)*a*b*sqrt(1/(a*b))*arctan(2*sqrt(2)*sqrt(a^2*x^3 + b^2*x)*a*b*sqrt(1/(a*b))/(a^2*x^2 - 2*a*b*x + b^2)) - sqrt(2)*a*b*sqrt(1/(a*b))*log((a^4*x^4 + 12*a^3*b*x^3 + 6*a^2*b^2*x^2 + 12*a*b^3*x + b^4 - 4*sqrt(2)*(a^3*b*x^2 + 2*a^2*b^2*x + a*b^3)*sqrt(a^2*x^3 + b^2*x)*sqrt(1/(a*b)))/(a^4*x^4 - 4*a^3*b*x^3 + 6*a^2*b^2*x^2 - 4*a*b^3*x + b^4)) - 8*sqrt(a*b)*arctan(1/2*sqrt(a^2*x^3 + b^2*x)*(a^2*x^2 - a*b*x + b^2)*sqrt(a*b)/(a^3*b*x^3 + a*b^3*x)) - 4*sqrt(a*b)*log((a^4*x^4 + 6*a^3*b*x^3 + 3*a^2*b^2*x^2 + 6*a*b^3*x + b^4 - 4*sqrt(a^2*x^3 + b^2*x)*(a^2*x^2 + a*b*x + b^2)*sqrt(a*b))/(a^4*x^4 - 2*a^3*b*x^3 + 3*a^2*b^2*x^2 - 2*a*b^3*x + b^4)))/(a*b), 1/24*(2*sqrt(2)*a*b*sqrt(-1/(a*b))*arctan(2*sqrt(2)*sqrt(a^2*x^3 + b^2*x)*a*b*sqrt(-1/(a*b))/(a^2*x^2 + 2*a*b*x + b^2)) + sqrt(2)*a*b*sqrt(-1/(a*b))*log((a^4*x^4 - 12*a^3*b*x^3 + 6*a^2*b^2*x^2 - 12*a*b^3*x + b^4 + 4*sqrt(2)*(a^3*b*x^2 - 2*a^2*b^2*x + a*b^3)*sqrt(a^2*x^3 + b^2*x)*sqrt(-1/(a*b)))/(a^4*x^4 + 4*a^3*b*x^3 + 6*a^2*b^2*x^2 + 4*a*b^3*x + b^4)) + 8*sqrt(-a*b)*arctan(1/2*sqrt(a^2*x^3 + b^2*x)*(a^2*x^2 + a*b*x + b^2)*sqrt(-a*b)/(a^3*b*x^3 + a*b^3*x)) - 4*sqrt(-a*b)*log((a^4*x^4 - 6*a^3*b*x^3 + 3*a^2*b^2*x^2 - 6*a*b^3*x + b^4 - 4*sqrt(a^2*x^3 + b^2*x)*(a^2*x^2 - a*b*x + b^2)*sqrt(-a*b))/(a^4*x^4 + 2*a^3*b*x^3 + 3*a^2*b^2*x^2 + 2*a*b^3*x + b^4)))/(a*b)]","B",0
2697,-2,0,0,0.000000," ","integrate((5*x^7+2)*(x^8-x^3-x)^(1/3)/(x^7-1)/(x^7+x^2-1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
2698,1,1425,0,0.687478," ","integrate(x^6*(x^3-4)/(x^3-1)^(3/4)/(x^8+x^6-2*x^3+1),x, algorithm=""fricas"")","\frac{1}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} + \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \arctan\left(-\frac{x \sqrt{\sqrt{2} + 2} - x \sqrt{-\sqrt{2} + 2} - 2 \, x \sqrt{\frac{2 \, x^{2} + {\left(x^{3} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x \sqrt{\sqrt{2} + 2} - \sqrt{2} x \sqrt{-\sqrt{2} + 2}\right)} + 2 \, \sqrt{x^{3} - 1}}{x^{2}}} + 2 \, \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{1}{4}}}{x \sqrt{\sqrt{2} + 2} + x \sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} + \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \arctan\left(\frac{x \sqrt{\sqrt{2} + 2} - x \sqrt{-\sqrt{2} + 2} + 2 \, x \sqrt{\frac{2 \, x^{2} - {\left(x^{3} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x \sqrt{\sqrt{2} + 2} - \sqrt{2} x \sqrt{-\sqrt{2} + 2}\right)} + 2 \, \sqrt{x^{3} - 1}}{x^{2}}} - 2 \, \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{1}{4}}}{x \sqrt{\sqrt{2} + 2} + x \sqrt{-\sqrt{2} + 2}}\right) - \frac{1}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} - \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \arctan\left(\frac{x \sqrt{\sqrt{2} + 2} + x \sqrt{-\sqrt{2} + 2} - 2 \, x \sqrt{\frac{2 \, x^{2} + {\left(x^{3} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x \sqrt{\sqrt{2} + 2} + \sqrt{2} x \sqrt{-\sqrt{2} + 2}\right)} + 2 \, \sqrt{x^{3} - 1}}{x^{2}}} + 2 \, \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{1}{4}}}{x \sqrt{\sqrt{2} + 2} - x \sqrt{-\sqrt{2} + 2}}\right) - \frac{1}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} - \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \arctan\left(-\frac{x \sqrt{\sqrt{2} + 2} + x \sqrt{-\sqrt{2} + 2} + 2 \, x \sqrt{\frac{2 \, x^{2} - {\left(x^{3} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x \sqrt{\sqrt{2} + 2} + \sqrt{2} x \sqrt{-\sqrt{2} + 2}\right)} + 2 \, \sqrt{x^{3} - 1}}{x^{2}}} - 2 \, \sqrt{2} {\left(x^{3} - 1\right)}^{\frac{1}{4}}}{x \sqrt{\sqrt{2} + 2} - x \sqrt{-\sqrt{2} + 2}}\right) - \frac{1}{16} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} + \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \log\left(\frac{2 \, {\left(2 \, x^{2} + {\left(x^{3} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x \sqrt{\sqrt{2} + 2} + \sqrt{2} x \sqrt{-\sqrt{2} + 2}\right)} + 2 \, \sqrt{x^{3} - 1}\right)}}{x^{2}}\right) + \frac{1}{16} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} + \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \log\left(\frac{2 \, {\left(2 \, x^{2} - {\left(x^{3} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x \sqrt{\sqrt{2} + 2} + \sqrt{2} x \sqrt{-\sqrt{2} + 2}\right)} + 2 \, \sqrt{x^{3} - 1}\right)}}{x^{2}}\right) - \frac{1}{16} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} - \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \log\left(\frac{2 \, {\left(2 \, x^{2} + {\left(x^{3} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x \sqrt{\sqrt{2} + 2} - \sqrt{2} x \sqrt{-\sqrt{2} + 2}\right)} + 2 \, \sqrt{x^{3} - 1}\right)}}{x^{2}}\right) + \frac{1}{16} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} - \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \log\left(\frac{2 \, {\left(2 \, x^{2} - {\left(x^{3} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x \sqrt{\sqrt{2} + 2} - \sqrt{2} x \sqrt{-\sqrt{2} + 2}\right)} + 2 \, \sqrt{x^{3} - 1}\right)}}{x^{2}}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} + 2} \arctan\left(-\frac{x \sqrt{-\sqrt{2} + 2} - 2 \, x \sqrt{\frac{x^{2} + {\left(x^{3} - 1\right)}^{\frac{1}{4}} x \sqrt{-\sqrt{2} + 2} + \sqrt{x^{3} - 1}}{x^{2}}} + 2 \, {\left(x^{3} - 1\right)}^{\frac{1}{4}}}{x \sqrt{\sqrt{2} + 2}}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} + 2} \arctan\left(\frac{x \sqrt{-\sqrt{2} + 2} + 2 \, x \sqrt{\frac{x^{2} - {\left(x^{3} - 1\right)}^{\frac{1}{4}} x \sqrt{-\sqrt{2} + 2} + \sqrt{x^{3} - 1}}{x^{2}}} - 2 \, {\left(x^{3} - 1\right)}^{\frac{1}{4}}}{x \sqrt{\sqrt{2} + 2}}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} + 2} \arctan\left(-\frac{x \sqrt{\sqrt{2} + 2} - 2 \, x \sqrt{\frac{x^{2} + {\left(x^{3} - 1\right)}^{\frac{1}{4}} x \sqrt{\sqrt{2} + 2} + \sqrt{x^{3} - 1}}{x^{2}}} + 2 \, {\left(x^{3} - 1\right)}^{\frac{1}{4}}}{x \sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} + 2} \arctan\left(\frac{x \sqrt{\sqrt{2} + 2} + 2 \, x \sqrt{\frac{x^{2} - {\left(x^{3} - 1\right)}^{\frac{1}{4}} x \sqrt{\sqrt{2} + 2} + \sqrt{x^{3} - 1}}{x^{2}}} - 2 \, {\left(x^{3} - 1\right)}^{\frac{1}{4}}}{x \sqrt{-\sqrt{2} + 2}}\right) - \frac{1}{8} \, \sqrt{\sqrt{2} + 2} \log\left(\frac{x^{2} + {\left(x^{3} - 1\right)}^{\frac{1}{4}} x \sqrt{\sqrt{2} + 2} + \sqrt{x^{3} - 1}}{x^{2}}\right) + \frac{1}{8} \, \sqrt{\sqrt{2} + 2} \log\left(\frac{x^{2} - {\left(x^{3} - 1\right)}^{\frac{1}{4}} x \sqrt{\sqrt{2} + 2} + \sqrt{x^{3} - 1}}{x^{2}}\right) - \frac{1}{8} \, \sqrt{-\sqrt{2} + 2} \log\left(\frac{x^{2} + {\left(x^{3} - 1\right)}^{\frac{1}{4}} x \sqrt{-\sqrt{2} + 2} + \sqrt{x^{3} - 1}}{x^{2}}\right) + \frac{1}{8} \, \sqrt{-\sqrt{2} + 2} \log\left(\frac{x^{2} - {\left(x^{3} - 1\right)}^{\frac{1}{4}} x \sqrt{-\sqrt{2} + 2} + \sqrt{x^{3} - 1}}{x^{2}}\right)"," ",0,"1/4*(sqrt(2)*sqrt(sqrt(2) + 2) + sqrt(2)*sqrt(-sqrt(2) + 2))*arctan(-(x*sqrt(sqrt(2) + 2) - x*sqrt(-sqrt(2) + 2) - 2*x*sqrt((2*x^2 + (x^3 - 1)^(1/4)*(sqrt(2)*x*sqrt(sqrt(2) + 2) - sqrt(2)*x*sqrt(-sqrt(2) + 2)) + 2*sqrt(x^3 - 1))/x^2) + 2*sqrt(2)*(x^3 - 1)^(1/4))/(x*sqrt(sqrt(2) + 2) + x*sqrt(-sqrt(2) + 2))) + 1/4*(sqrt(2)*sqrt(sqrt(2) + 2) + sqrt(2)*sqrt(-sqrt(2) + 2))*arctan((x*sqrt(sqrt(2) + 2) - x*sqrt(-sqrt(2) + 2) + 2*x*sqrt((2*x^2 - (x^3 - 1)^(1/4)*(sqrt(2)*x*sqrt(sqrt(2) + 2) - sqrt(2)*x*sqrt(-sqrt(2) + 2)) + 2*sqrt(x^3 - 1))/x^2) - 2*sqrt(2)*(x^3 - 1)^(1/4))/(x*sqrt(sqrt(2) + 2) + x*sqrt(-sqrt(2) + 2))) - 1/4*(sqrt(2)*sqrt(sqrt(2) + 2) - sqrt(2)*sqrt(-sqrt(2) + 2))*arctan((x*sqrt(sqrt(2) + 2) + x*sqrt(-sqrt(2) + 2) - 2*x*sqrt((2*x^2 + (x^3 - 1)^(1/4)*(sqrt(2)*x*sqrt(sqrt(2) + 2) + sqrt(2)*x*sqrt(-sqrt(2) + 2)) + 2*sqrt(x^3 - 1))/x^2) + 2*sqrt(2)*(x^3 - 1)^(1/4))/(x*sqrt(sqrt(2) + 2) - x*sqrt(-sqrt(2) + 2))) - 1/4*(sqrt(2)*sqrt(sqrt(2) + 2) - sqrt(2)*sqrt(-sqrt(2) + 2))*arctan(-(x*sqrt(sqrt(2) + 2) + x*sqrt(-sqrt(2) + 2) + 2*x*sqrt((2*x^2 - (x^3 - 1)^(1/4)*(sqrt(2)*x*sqrt(sqrt(2) + 2) + sqrt(2)*x*sqrt(-sqrt(2) + 2)) + 2*sqrt(x^3 - 1))/x^2) - 2*sqrt(2)*(x^3 - 1)^(1/4))/(x*sqrt(sqrt(2) + 2) - x*sqrt(-sqrt(2) + 2))) - 1/16*(sqrt(2)*sqrt(sqrt(2) + 2) + sqrt(2)*sqrt(-sqrt(2) + 2))*log(2*(2*x^2 + (x^3 - 1)^(1/4)*(sqrt(2)*x*sqrt(sqrt(2) + 2) + sqrt(2)*x*sqrt(-sqrt(2) + 2)) + 2*sqrt(x^3 - 1))/x^2) + 1/16*(sqrt(2)*sqrt(sqrt(2) + 2) + sqrt(2)*sqrt(-sqrt(2) + 2))*log(2*(2*x^2 - (x^3 - 1)^(1/4)*(sqrt(2)*x*sqrt(sqrt(2) + 2) + sqrt(2)*x*sqrt(-sqrt(2) + 2)) + 2*sqrt(x^3 - 1))/x^2) - 1/16*(sqrt(2)*sqrt(sqrt(2) + 2) - sqrt(2)*sqrt(-sqrt(2) + 2))*log(2*(2*x^2 + (x^3 - 1)^(1/4)*(sqrt(2)*x*sqrt(sqrt(2) + 2) - sqrt(2)*x*sqrt(-sqrt(2) + 2)) + 2*sqrt(x^3 - 1))/x^2) + 1/16*(sqrt(2)*sqrt(sqrt(2) + 2) - sqrt(2)*sqrt(-sqrt(2) + 2))*log(2*(2*x^2 - (x^3 - 1)^(1/4)*(sqrt(2)*x*sqrt(sqrt(2) + 2) - sqrt(2)*x*sqrt(-sqrt(2) + 2)) + 2*sqrt(x^3 - 1))/x^2) + 1/2*sqrt(sqrt(2) + 2)*arctan(-(x*sqrt(-sqrt(2) + 2) - 2*x*sqrt((x^2 + (x^3 - 1)^(1/4)*x*sqrt(-sqrt(2) + 2) + sqrt(x^3 - 1))/x^2) + 2*(x^3 - 1)^(1/4))/(x*sqrt(sqrt(2) + 2))) + 1/2*sqrt(sqrt(2) + 2)*arctan((x*sqrt(-sqrt(2) + 2) + 2*x*sqrt((x^2 - (x^3 - 1)^(1/4)*x*sqrt(-sqrt(2) + 2) + sqrt(x^3 - 1))/x^2) - 2*(x^3 - 1)^(1/4))/(x*sqrt(sqrt(2) + 2))) + 1/2*sqrt(-sqrt(2) + 2)*arctan(-(x*sqrt(sqrt(2) + 2) - 2*x*sqrt((x^2 + (x^3 - 1)^(1/4)*x*sqrt(sqrt(2) + 2) + sqrt(x^3 - 1))/x^2) + 2*(x^3 - 1)^(1/4))/(x*sqrt(-sqrt(2) + 2))) + 1/2*sqrt(-sqrt(2) + 2)*arctan((x*sqrt(sqrt(2) + 2) + 2*x*sqrt((x^2 - (x^3 - 1)^(1/4)*x*sqrt(sqrt(2) + 2) + sqrt(x^3 - 1))/x^2) - 2*(x^3 - 1)^(1/4))/(x*sqrt(-sqrt(2) + 2))) - 1/8*sqrt(sqrt(2) + 2)*log((x^2 + (x^3 - 1)^(1/4)*x*sqrt(sqrt(2) + 2) + sqrt(x^3 - 1))/x^2) + 1/8*sqrt(sqrt(2) + 2)*log((x^2 - (x^3 - 1)^(1/4)*x*sqrt(sqrt(2) + 2) + sqrt(x^3 - 1))/x^2) - 1/8*sqrt(-sqrt(2) + 2)*log((x^2 + (x^3 - 1)^(1/4)*x*sqrt(-sqrt(2) + 2) + sqrt(x^3 - 1))/x^2) + 1/8*sqrt(-sqrt(2) + 2)*log((x^2 - (x^3 - 1)^(1/4)*x*sqrt(-sqrt(2) + 2) + sqrt(x^3 - 1))/x^2)","B",0
2699,-1,0,0,0.000000," ","integrate(x^6*(x^5+4)/(x^5-1)^(3/4)/(x^10+x^8-2*x^5+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2700,-1,0,0,0.000000," ","integrate((a*x+b)^(1/2)*(f*x^2-g)/(d*x^2+e)/(c+(a*x+b)^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2701,-1,0,0,0.000000," ","integrate((x^4+1)^(1/2)*(x^2+(x^4+1)^(1/2))^(1/2)/(x^2+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2702,-1,0,0,0.000000," ","integrate(x/(x^2-(1+x)^(1/2)*(1+(1+x)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2703,-1,0,0,0.000000," ","integrate(x/(x^2-(1+x)^(1/2)*(1+(1+x)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2704,-1,0,0,0.000000," ","integrate((a*x+b)^(1/2)*(1+(a*x+b)^(1/2))^(1/2)/x^2/(1+(1+(a*x+b)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2705,-1,0,0,0.000000," ","integrate((a*x+b)^(1/2)*(1+(a*x+b)^(1/2))^(1/2)/x^2/(1+(1+(a*x+b)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2706,-1,0,0,0.000000," ","integrate(x^4*(a*x^4+b*x^2)^(1/4)/(x^4+a*x^2+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2707,-1,0,0,0.000000," ","integrate(x^4*(a*x^4+b*x^2)^(1/4)/(x^4+a*x^2+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2708,-1,0,0,0.000000," ","integrate((a*x+b)*(a*p*x^4+4*b*p*x^3-3*a*q)/(p*x^4+q)^(2/3)/(a^3*c*x^3+3*a^2*b*c*x^2+d*p*x^4+3*a*b^2*c*x+b^3*c+d*q),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2709,1,10278,0,9.274705," ","integrate((a^2*x^3+b^2)^(1/2)*(a^2*x^6+c*x^3+2*b^2)/x^7/(a^2*x^6+b^2),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{2} b^{13} x^{6} \sqrt{\frac{a^{8} b^{4} + a^{6} b^{6} + {\left(a^{4} + a^{2} b^{2}\right)} c^{4} + 2 \, {\left(a^{6} b^{2} + a^{4} b^{4}\right)} c^{2} - {\left(a^{2} b^{8} - 2 \, a^{2} b^{6} c - b^{6} c^{2}\right)} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}}}{a^{8} b^{4} + 4 \, a^{6} b^{4} c - 4 \, a^{4} b^{2} c^{3} + a^{4} c^{4} - 2 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4}\right)} c^{2}}} \left(\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}\right)^{\frac{3}{4}} \sqrt{\frac{a^{10} b^{4} + 4 \, a^{8} b^{4} c - 4 \, a^{6} b^{2} c^{3} + a^{6} c^{4} - 2 \, {\left(a^{8} b^{2} - 2 \, a^{6} b^{4}\right)} c^{2}}{b^{10}}} \arctan\left(\frac{\sqrt{2} \sqrt{a^{2} x^{3} + b^{2}} {\left({\left(a^{8} b^{22} + 2 \, a^{6} b^{22} c + 2 \, a^{4} b^{20} c^{3} - a^{4} b^{18} c^{4}\right)} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}} \sqrt{\frac{a^{10} b^{4} + 4 \, a^{8} b^{4} c - 4 \, a^{6} b^{2} c^{3} + a^{6} c^{4} - 2 \, {\left(a^{8} b^{2} - 2 \, a^{6} b^{4}\right)} c^{2}}{b^{10}}} + {\left(a^{12} b^{20} - a^{10} b^{18} c^{2} - 5 \, a^{8} b^{16} c^{4} - 3 \, a^{6} b^{14} c^{6} + a^{6} b^{12} c^{7} + {\left(a^{8} b^{14} + 2 \, a^{6} b^{16}\right)} c^{5} - {\left(a^{10} b^{16} - 4 \, a^{8} b^{18}\right)} c^{3} - {\left(a^{12} b^{18} - 2 \, a^{10} b^{20}\right)} c\right)} \sqrt{\frac{a^{10} b^{4} + 4 \, a^{8} b^{4} c - 4 \, a^{6} b^{2} c^{3} + a^{6} c^{4} - 2 \, {\left(a^{8} b^{2} - 2 \, a^{6} b^{4}\right)} c^{2}}{b^{10}}}\right)} \sqrt{\frac{a^{8} b^{4} + a^{6} b^{6} + {\left(a^{4} + a^{2} b^{2}\right)} c^{4} + 2 \, {\left(a^{6} b^{2} + a^{4} b^{4}\right)} c^{2} - {\left(a^{2} b^{8} - 2 \, a^{2} b^{6} c - b^{6} c^{2}\right)} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}}}{a^{8} b^{4} + 4 \, a^{6} b^{4} c - 4 \, a^{4} b^{2} c^{3} + a^{4} c^{4} - 2 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4}\right)} c^{2}}} \left(\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}\right)^{\frac{3}{4}} + \sqrt{2} {\left(b^{18} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}} \sqrt{\frac{a^{10} b^{4} + 4 \, a^{8} b^{4} c - 4 \, a^{6} b^{2} c^{3} + a^{6} c^{4} - 2 \, {\left(a^{8} b^{2} - 2 \, a^{6} b^{4}\right)} c^{2}}{b^{10}}} + {\left(a^{4} b^{16} - a^{4} b^{14} c + a^{2} b^{14} c^{2} - a^{2} b^{12} c^{3}\right)} \sqrt{\frac{a^{10} b^{4} + 4 \, a^{8} b^{4} c - 4 \, a^{6} b^{2} c^{3} + a^{6} c^{4} - 2 \, {\left(a^{8} b^{2} - 2 \, a^{6} b^{4}\right)} c^{2}}{b^{10}}}\right)} \sqrt{\frac{a^{8} b^{4} + a^{6} b^{6} + {\left(a^{4} + a^{2} b^{2}\right)} c^{4} + 2 \, {\left(a^{6} b^{2} + a^{4} b^{4}\right)} c^{2} - {\left(a^{2} b^{8} - 2 \, a^{2} b^{6} c - b^{6} c^{2}\right)} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}}}{a^{8} b^{4} + 4 \, a^{6} b^{4} c - 4 \, a^{4} b^{2} c^{3} + a^{4} c^{4} - 2 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4}\right)} c^{2}}} \sqrt{\frac{a^{18} b^{10} + a^{16} b^{12} + {\left(a^{10} b^{2} + a^{8} b^{4}\right)} c^{8} - 4 \, {\left(a^{10} b^{4} + a^{8} b^{6}\right)} c^{7} + 4 \, {\left(a^{10} b^{6} + a^{8} b^{8}\right)} c^{6} - 4 \, {\left(a^{12} b^{6} + a^{10} b^{8}\right)} c^{5} - 2 \, {\left(a^{14} b^{6} - 3 \, a^{12} b^{8} - 4 \, a^{10} b^{10}\right)} c^{4} + 4 \, {\left(a^{14} b^{8} + a^{12} b^{10}\right)} c^{3} + {\left(a^{20} b^{8} + a^{18} b^{10} + {\left(a^{12} + a^{10} b^{2}\right)} c^{8} - 4 \, {\left(a^{12} b^{2} + a^{10} b^{4}\right)} c^{7} + 4 \, {\left(a^{12} b^{4} + a^{10} b^{6}\right)} c^{6} - 4 \, {\left(a^{14} b^{4} + a^{12} b^{6}\right)} c^{5} - 2 \, {\left(a^{16} b^{4} - 3 \, a^{14} b^{6} - 4 \, a^{12} b^{8}\right)} c^{4} + 4 \, {\left(a^{16} b^{6} + a^{14} b^{8}\right)} c^{3} + 4 \, {\left(a^{16} b^{8} + a^{14} b^{10}\right)} c^{2} + 4 \, {\left(a^{18} b^{8} + a^{16} b^{10}\right)} c\right)} x^{3} + 4 \, {\left(a^{14} b^{10} + a^{12} b^{12}\right)} c^{2} + \sqrt{2} {\left(a^{16} b^{10} + a^{14} b^{12} + {\left(a^{10} b^{4} + a^{8} b^{6}\right)} c^{6} - 4 \, {\left(a^{10} b^{6} + a^{8} b^{8}\right)} c^{5} - {\left(a^{12} b^{6} - 3 \, a^{10} b^{8} - 4 \, a^{8} b^{10}\right)} c^{4} - {\left(a^{14} b^{8} - 3 \, a^{12} b^{10} - 4 \, a^{10} b^{12}\right)} c^{2} + 4 \, {\left(a^{14} b^{10} + a^{12} b^{12}\right)} c + {\left(a^{10} b^{14} + 5 \, a^{6} b^{10} c^{4} - a^{6} b^{8} c^{5} + 2 \, {\left(a^{8} b^{10} - 4 \, a^{6} b^{12}\right)} c^{3} - 2 \, {\left(3 \, a^{8} b^{12} - 2 \, a^{6} b^{14}\right)} c^{2} - {\left(a^{10} b^{12} - 4 \, a^{8} b^{14}\right)} c\right)} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}}\right)} \sqrt{a^{2} x^{3} + b^{2}} \sqrt{\frac{a^{8} b^{4} + a^{6} b^{6} + {\left(a^{4} + a^{2} b^{2}\right)} c^{4} + 2 \, {\left(a^{6} b^{2} + a^{4} b^{4}\right)} c^{2} - {\left(a^{2} b^{8} - 2 \, a^{2} b^{6} c - b^{6} c^{2}\right)} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}}}{a^{8} b^{4} + 4 \, a^{6} b^{4} c - 4 \, a^{4} b^{2} c^{3} + a^{4} c^{4} - 2 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4}\right)} c^{2}}} \left(\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}\right)^{\frac{1}{4}} + 4 \, {\left(a^{16} b^{10} + a^{14} b^{12}\right)} c + {\left(a^{14} b^{12} + a^{12} b^{14} + {\left(a^{8} b^{6} + a^{6} b^{8}\right)} c^{6} - 4 \, {\left(a^{8} b^{8} + a^{6} b^{10}\right)} c^{5} - {\left(a^{10} b^{8} - 3 \, a^{8} b^{10} - 4 \, a^{6} b^{12}\right)} c^{4} - {\left(a^{12} b^{10} - 3 \, a^{10} b^{12} - 4 \, a^{8} b^{14}\right)} c^{2} + 4 \, {\left(a^{12} b^{12} + a^{10} b^{14}\right)} c\right)} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}}}{a^{2} + b^{2}}} \left(\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}\right)^{\frac{3}{4}} + {\left(a^{16} b^{18} + a^{14} b^{20} - {\left(a^{8} b^{10} + a^{6} b^{12}\right)} c^{8} + 2 \, {\left(a^{8} b^{12} + a^{6} b^{14}\right)} c^{7} - 2 \, {\left(a^{10} b^{12} + a^{8} b^{14}\right)} c^{6} + 6 \, {\left(a^{10} b^{14} + a^{8} b^{16}\right)} c^{5} + 6 \, {\left(a^{12} b^{16} + a^{10} b^{18}\right)} c^{3} + 2 \, {\left(a^{14} b^{16} + a^{12} b^{18}\right)} c^{2} + 2 \, {\left(a^{14} b^{18} + a^{12} b^{20}\right)} c\right)} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}} \sqrt{\frac{a^{10} b^{4} + 4 \, a^{8} b^{4} c - 4 \, a^{6} b^{2} c^{3} + a^{6} c^{4} - 2 \, {\left(a^{8} b^{2} - 2 \, a^{6} b^{4}\right)} c^{2}}{b^{10}}} + {\left(a^{20} b^{16} + a^{18} b^{18} - {\left(a^{10} b^{6} + a^{8} b^{8}\right)} c^{10} + 2 \, {\left(a^{10} b^{8} + a^{8} b^{10}\right)} c^{9} - 3 \, {\left(a^{12} b^{8} + a^{10} b^{10}\right)} c^{8} + 8 \, {\left(a^{12} b^{10} + a^{10} b^{12}\right)} c^{7} - 2 \, {\left(a^{14} b^{10} + a^{12} b^{12}\right)} c^{6} + 12 \, {\left(a^{14} b^{12} + a^{12} b^{14}\right)} c^{5} + 2 \, {\left(a^{16} b^{12} + a^{14} b^{14}\right)} c^{4} + 8 \, {\left(a^{16} b^{14} + a^{14} b^{16}\right)} c^{3} + 3 \, {\left(a^{18} b^{14} + a^{16} b^{16}\right)} c^{2} + 2 \, {\left(a^{18} b^{16} + a^{16} b^{18}\right)} c\right)} \sqrt{\frac{a^{10} b^{4} + 4 \, a^{8} b^{4} c - 4 \, a^{6} b^{2} c^{3} + a^{6} c^{4} - 2 \, {\left(a^{8} b^{2} - 2 \, a^{6} b^{4}\right)} c^{2}}{b^{10}}}}{a^{26} b^{12} + a^{24} b^{14} + {\left(a^{14} + a^{12} b^{2}\right)} c^{12} - 4 \, {\left(a^{14} b^{2} + a^{12} b^{4}\right)} c^{11} + 2 \, {\left(a^{16} b^{2} + 3 \, a^{14} b^{4} + 2 \, a^{12} b^{6}\right)} c^{10} - 12 \, {\left(a^{16} b^{4} + a^{14} b^{6}\right)} c^{9} - {\left(a^{18} b^{4} - 15 \, a^{16} b^{6} - 16 \, a^{14} b^{8}\right)} c^{8} - 8 \, {\left(a^{18} b^{6} + a^{16} b^{8}\right)} c^{7} - 4 \, {\left(a^{20} b^{6} - 5 \, a^{18} b^{8} - 6 \, a^{16} b^{10}\right)} c^{6} + 8 \, {\left(a^{20} b^{8} + a^{18} b^{10}\right)} c^{5} - {\left(a^{22} b^{8} - 15 \, a^{20} b^{10} - 16 \, a^{18} b^{12}\right)} c^{4} + 12 \, {\left(a^{22} b^{10} + a^{20} b^{12}\right)} c^{3} + 2 \, {\left(a^{24} b^{10} + 3 \, a^{22} b^{12} + 2 \, a^{20} b^{14}\right)} c^{2} + 4 \, {\left(a^{24} b^{12} + a^{22} b^{14}\right)} c}\right) + 4 \, \sqrt{2} b^{13} x^{6} \sqrt{\frac{a^{8} b^{4} + a^{6} b^{6} + {\left(a^{4} + a^{2} b^{2}\right)} c^{4} + 2 \, {\left(a^{6} b^{2} + a^{4} b^{4}\right)} c^{2} - {\left(a^{2} b^{8} - 2 \, a^{2} b^{6} c - b^{6} c^{2}\right)} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}}}{a^{8} b^{4} + 4 \, a^{6} b^{4} c - 4 \, a^{4} b^{2} c^{3} + a^{4} c^{4} - 2 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4}\right)} c^{2}}} \left(\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}\right)^{\frac{3}{4}} \sqrt{\frac{a^{10} b^{4} + 4 \, a^{8} b^{4} c - 4 \, a^{6} b^{2} c^{3} + a^{6} c^{4} - 2 \, {\left(a^{8} b^{2} - 2 \, a^{6} b^{4}\right)} c^{2}}{b^{10}}} \arctan\left(\frac{\sqrt{2} \sqrt{a^{2} x^{3} + b^{2}} {\left({\left(a^{8} b^{22} + 2 \, a^{6} b^{22} c + 2 \, a^{4} b^{20} c^{3} - a^{4} b^{18} c^{4}\right)} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}} \sqrt{\frac{a^{10} b^{4} + 4 \, a^{8} b^{4} c - 4 \, a^{6} b^{2} c^{3} + a^{6} c^{4} - 2 \, {\left(a^{8} b^{2} - 2 \, a^{6} b^{4}\right)} c^{2}}{b^{10}}} + {\left(a^{12} b^{20} - a^{10} b^{18} c^{2} - 5 \, a^{8} b^{16} c^{4} - 3 \, a^{6} b^{14} c^{6} + a^{6} b^{12} c^{7} + {\left(a^{8} b^{14} + 2 \, a^{6} b^{16}\right)} c^{5} - {\left(a^{10} b^{16} - 4 \, a^{8} b^{18}\right)} c^{3} - {\left(a^{12} b^{18} - 2 \, a^{10} b^{20}\right)} c\right)} \sqrt{\frac{a^{10} b^{4} + 4 \, a^{8} b^{4} c - 4 \, a^{6} b^{2} c^{3} + a^{6} c^{4} - 2 \, {\left(a^{8} b^{2} - 2 \, a^{6} b^{4}\right)} c^{2}}{b^{10}}}\right)} \sqrt{\frac{a^{8} b^{4} + a^{6} b^{6} + {\left(a^{4} + a^{2} b^{2}\right)} c^{4} + 2 \, {\left(a^{6} b^{2} + a^{4} b^{4}\right)} c^{2} - {\left(a^{2} b^{8} - 2 \, a^{2} b^{6} c - b^{6} c^{2}\right)} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}}}{a^{8} b^{4} + 4 \, a^{6} b^{4} c - 4 \, a^{4} b^{2} c^{3} + a^{4} c^{4} - 2 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4}\right)} c^{2}}} \left(\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}\right)^{\frac{3}{4}} + \sqrt{2} {\left(b^{18} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}} \sqrt{\frac{a^{10} b^{4} + 4 \, a^{8} b^{4} c - 4 \, a^{6} b^{2} c^{3} + a^{6} c^{4} - 2 \, {\left(a^{8} b^{2} - 2 \, a^{6} b^{4}\right)} c^{2}}{b^{10}}} + {\left(a^{4} b^{16} - a^{4} b^{14} c + a^{2} b^{14} c^{2} - a^{2} b^{12} c^{3}\right)} \sqrt{\frac{a^{10} b^{4} + 4 \, a^{8} b^{4} c - 4 \, a^{6} b^{2} c^{3} + a^{6} c^{4} - 2 \, {\left(a^{8} b^{2} - 2 \, a^{6} b^{4}\right)} c^{2}}{b^{10}}}\right)} \sqrt{\frac{a^{8} b^{4} + a^{6} b^{6} + {\left(a^{4} + a^{2} b^{2}\right)} c^{4} + 2 \, {\left(a^{6} b^{2} + a^{4} b^{4}\right)} c^{2} - {\left(a^{2} b^{8} - 2 \, a^{2} b^{6} c - b^{6} c^{2}\right)} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}}}{a^{8} b^{4} + 4 \, a^{6} b^{4} c - 4 \, a^{4} b^{2} c^{3} + a^{4} c^{4} - 2 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4}\right)} c^{2}}} \sqrt{\frac{a^{18} b^{10} + a^{16} b^{12} + {\left(a^{10} b^{2} + a^{8} b^{4}\right)} c^{8} - 4 \, {\left(a^{10} b^{4} + a^{8} b^{6}\right)} c^{7} + 4 \, {\left(a^{10} b^{6} + a^{8} b^{8}\right)} c^{6} - 4 \, {\left(a^{12} b^{6} + a^{10} b^{8}\right)} c^{5} - 2 \, {\left(a^{14} b^{6} - 3 \, a^{12} b^{8} - 4 \, a^{10} b^{10}\right)} c^{4} + 4 \, {\left(a^{14} b^{8} + a^{12} b^{10}\right)} c^{3} + {\left(a^{20} b^{8} + a^{18} b^{10} + {\left(a^{12} + a^{10} b^{2}\right)} c^{8} - 4 \, {\left(a^{12} b^{2} + a^{10} b^{4}\right)} c^{7} + 4 \, {\left(a^{12} b^{4} + a^{10} b^{6}\right)} c^{6} - 4 \, {\left(a^{14} b^{4} + a^{12} b^{6}\right)} c^{5} - 2 \, {\left(a^{16} b^{4} - 3 \, a^{14} b^{6} - 4 \, a^{12} b^{8}\right)} c^{4} + 4 \, {\left(a^{16} b^{6} + a^{14} b^{8}\right)} c^{3} + 4 \, {\left(a^{16} b^{8} + a^{14} b^{10}\right)} c^{2} + 4 \, {\left(a^{18} b^{8} + a^{16} b^{10}\right)} c\right)} x^{3} + 4 \, {\left(a^{14} b^{10} + a^{12} b^{12}\right)} c^{2} - \sqrt{2} {\left(a^{16} b^{10} + a^{14} b^{12} + {\left(a^{10} b^{4} + a^{8} b^{6}\right)} c^{6} - 4 \, {\left(a^{10} b^{6} + a^{8} b^{8}\right)} c^{5} - {\left(a^{12} b^{6} - 3 \, a^{10} b^{8} - 4 \, a^{8} b^{10}\right)} c^{4} - {\left(a^{14} b^{8} - 3 \, a^{12} b^{10} - 4 \, a^{10} b^{12}\right)} c^{2} + 4 \, {\left(a^{14} b^{10} + a^{12} b^{12}\right)} c + {\left(a^{10} b^{14} + 5 \, a^{6} b^{10} c^{4} - a^{6} b^{8} c^{5} + 2 \, {\left(a^{8} b^{10} - 4 \, a^{6} b^{12}\right)} c^{3} - 2 \, {\left(3 \, a^{8} b^{12} - 2 \, a^{6} b^{14}\right)} c^{2} - {\left(a^{10} b^{12} - 4 \, a^{8} b^{14}\right)} c\right)} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}}\right)} \sqrt{a^{2} x^{3} + b^{2}} \sqrt{\frac{a^{8} b^{4} + a^{6} b^{6} + {\left(a^{4} + a^{2} b^{2}\right)} c^{4} + 2 \, {\left(a^{6} b^{2} + a^{4} b^{4}\right)} c^{2} - {\left(a^{2} b^{8} - 2 \, a^{2} b^{6} c - b^{6} c^{2}\right)} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}}}{a^{8} b^{4} + 4 \, a^{6} b^{4} c - 4 \, a^{4} b^{2} c^{3} + a^{4} c^{4} - 2 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4}\right)} c^{2}}} \left(\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}\right)^{\frac{1}{4}} + 4 \, {\left(a^{16} b^{10} + a^{14} b^{12}\right)} c + {\left(a^{14} b^{12} + a^{12} b^{14} + {\left(a^{8} b^{6} + a^{6} b^{8}\right)} c^{6} - 4 \, {\left(a^{8} b^{8} + a^{6} b^{10}\right)} c^{5} - {\left(a^{10} b^{8} - 3 \, a^{8} b^{10} - 4 \, a^{6} b^{12}\right)} c^{4} - {\left(a^{12} b^{10} - 3 \, a^{10} b^{12} - 4 \, a^{8} b^{14}\right)} c^{2} + 4 \, {\left(a^{12} b^{12} + a^{10} b^{14}\right)} c\right)} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}}}{a^{2} + b^{2}}} \left(\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}\right)^{\frac{3}{4}} - {\left(a^{16} b^{18} + a^{14} b^{20} - {\left(a^{8} b^{10} + a^{6} b^{12}\right)} c^{8} + 2 \, {\left(a^{8} b^{12} + a^{6} b^{14}\right)} c^{7} - 2 \, {\left(a^{10} b^{12} + a^{8} b^{14}\right)} c^{6} + 6 \, {\left(a^{10} b^{14} + a^{8} b^{16}\right)} c^{5} + 6 \, {\left(a^{12} b^{16} + a^{10} b^{18}\right)} c^{3} + 2 \, {\left(a^{14} b^{16} + a^{12} b^{18}\right)} c^{2} + 2 \, {\left(a^{14} b^{18} + a^{12} b^{20}\right)} c\right)} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}} \sqrt{\frac{a^{10} b^{4} + 4 \, a^{8} b^{4} c - 4 \, a^{6} b^{2} c^{3} + a^{6} c^{4} - 2 \, {\left(a^{8} b^{2} - 2 \, a^{6} b^{4}\right)} c^{2}}{b^{10}}} - {\left(a^{20} b^{16} + a^{18} b^{18} - {\left(a^{10} b^{6} + a^{8} b^{8}\right)} c^{10} + 2 \, {\left(a^{10} b^{8} + a^{8} b^{10}\right)} c^{9} - 3 \, {\left(a^{12} b^{8} + a^{10} b^{10}\right)} c^{8} + 8 \, {\left(a^{12} b^{10} + a^{10} b^{12}\right)} c^{7} - 2 \, {\left(a^{14} b^{10} + a^{12} b^{12}\right)} c^{6} + 12 \, {\left(a^{14} b^{12} + a^{12} b^{14}\right)} c^{5} + 2 \, {\left(a^{16} b^{12} + a^{14} b^{14}\right)} c^{4} + 8 \, {\left(a^{16} b^{14} + a^{14} b^{16}\right)} c^{3} + 3 \, {\left(a^{18} b^{14} + a^{16} b^{16}\right)} c^{2} + 2 \, {\left(a^{18} b^{16} + a^{16} b^{18}\right)} c\right)} \sqrt{\frac{a^{10} b^{4} + 4 \, a^{8} b^{4} c - 4 \, a^{6} b^{2} c^{3} + a^{6} c^{4} - 2 \, {\left(a^{8} b^{2} - 2 \, a^{6} b^{4}\right)} c^{2}}{b^{10}}}}{a^{26} b^{12} + a^{24} b^{14} + {\left(a^{14} + a^{12} b^{2}\right)} c^{12} - 4 \, {\left(a^{14} b^{2} + a^{12} b^{4}\right)} c^{11} + 2 \, {\left(a^{16} b^{2} + 3 \, a^{14} b^{4} + 2 \, a^{12} b^{6}\right)} c^{10} - 12 \, {\left(a^{16} b^{4} + a^{14} b^{6}\right)} c^{9} - {\left(a^{18} b^{4} - 15 \, a^{16} b^{6} - 16 \, a^{14} b^{8}\right)} c^{8} - 8 \, {\left(a^{18} b^{6} + a^{16} b^{8}\right)} c^{7} - 4 \, {\left(a^{20} b^{6} - 5 \, a^{18} b^{8} - 6 \, a^{16} b^{10}\right)} c^{6} + 8 \, {\left(a^{20} b^{8} + a^{18} b^{10}\right)} c^{5} - {\left(a^{22} b^{8} - 15 \, a^{20} b^{10} - 16 \, a^{18} b^{12}\right)} c^{4} + 12 \, {\left(a^{22} b^{10} + a^{20} b^{12}\right)} c^{3} + 2 \, {\left(a^{24} b^{10} + 3 \, a^{22} b^{12} + 2 \, a^{20} b^{14}\right)} c^{2} + 4 \, {\left(a^{24} b^{12} + a^{22} b^{14}\right)} c}\right) - {\left(a^{14} b^{4} + 5 \, a^{12} b^{6} + 4 \, a^{10} b^{8} - 2 \, {\left(a^{8} + a^{6} b^{2}\right)} c^{5} + {\left(a^{10} + 5 \, a^{8} b^{2} + 4 \, a^{6} b^{4}\right)} c^{4} - 4 \, {\left(a^{10} b^{2} + a^{8} b^{4}\right)} c^{3} + 2 \, {\left(a^{12} b^{2} + 5 \, a^{10} b^{4} + 4 \, a^{8} b^{6}\right)} c^{2} - 2 \, {\left(a^{12} b^{4} + a^{10} b^{6}\right)} c\right)} x^{6} \log\left(b + \sqrt{a^{2} x^{3} + b^{2}}\right) + {\left(a^{14} b^{4} + 5 \, a^{12} b^{6} + 4 \, a^{10} b^{8} - 2 \, {\left(a^{8} + a^{6} b^{2}\right)} c^{5} + {\left(a^{10} + 5 \, a^{8} b^{2} + 4 \, a^{6} b^{4}\right)} c^{4} - 4 \, {\left(a^{10} b^{2} + a^{8} b^{4}\right)} c^{3} + 2 \, {\left(a^{12} b^{2} + 5 \, a^{10} b^{4} + 4 \, a^{8} b^{6}\right)} c^{2} - 2 \, {\left(a^{12} b^{4} + a^{10} b^{6}\right)} c\right)} x^{6} \log\left(-b + \sqrt{a^{2} x^{3} + b^{2}}\right) + \sqrt{2} {\left({\left(a^{4} b^{11} - 2 \, a^{4} b^{9} c - a^{2} b^{9} c^{2}\right)} x^{6} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}} + {\left(a^{10} b^{7} + a^{8} b^{9} + {\left(a^{6} b^{3} + a^{4} b^{5}\right)} c^{4} + 2 \, {\left(a^{8} b^{5} + a^{6} b^{7}\right)} c^{2}\right)} x^{6}\right)} \sqrt{\frac{a^{8} b^{4} + a^{6} b^{6} + {\left(a^{4} + a^{2} b^{2}\right)} c^{4} + 2 \, {\left(a^{6} b^{2} + a^{4} b^{4}\right)} c^{2} - {\left(a^{2} b^{8} - 2 \, a^{2} b^{6} c - b^{6} c^{2}\right)} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}}}{a^{8} b^{4} + 4 \, a^{6} b^{4} c - 4 \, a^{4} b^{2} c^{3} + a^{4} c^{4} - 2 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4}\right)} c^{2}}} \left(\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}\right)^{\frac{1}{4}} \log\left(\frac{a^{18} b^{10} + a^{16} b^{12} + {\left(a^{10} b^{2} + a^{8} b^{4}\right)} c^{8} - 4 \, {\left(a^{10} b^{4} + a^{8} b^{6}\right)} c^{7} + 4 \, {\left(a^{10} b^{6} + a^{8} b^{8}\right)} c^{6} - 4 \, {\left(a^{12} b^{6} + a^{10} b^{8}\right)} c^{5} - 2 \, {\left(a^{14} b^{6} - 3 \, a^{12} b^{8} - 4 \, a^{10} b^{10}\right)} c^{4} + 4 \, {\left(a^{14} b^{8} + a^{12} b^{10}\right)} c^{3} + {\left(a^{20} b^{8} + a^{18} b^{10} + {\left(a^{12} + a^{10} b^{2}\right)} c^{8} - 4 \, {\left(a^{12} b^{2} + a^{10} b^{4}\right)} c^{7} + 4 \, {\left(a^{12} b^{4} + a^{10} b^{6}\right)} c^{6} - 4 \, {\left(a^{14} b^{4} + a^{12} b^{6}\right)} c^{5} - 2 \, {\left(a^{16} b^{4} - 3 \, a^{14} b^{6} - 4 \, a^{12} b^{8}\right)} c^{4} + 4 \, {\left(a^{16} b^{6} + a^{14} b^{8}\right)} c^{3} + 4 \, {\left(a^{16} b^{8} + a^{14} b^{10}\right)} c^{2} + 4 \, {\left(a^{18} b^{8} + a^{16} b^{10}\right)} c\right)} x^{3} + 4 \, {\left(a^{14} b^{10} + a^{12} b^{12}\right)} c^{2} + \sqrt{2} {\left(a^{16} b^{10} + a^{14} b^{12} + {\left(a^{10} b^{4} + a^{8} b^{6}\right)} c^{6} - 4 \, {\left(a^{10} b^{6} + a^{8} b^{8}\right)} c^{5} - {\left(a^{12} b^{6} - 3 \, a^{10} b^{8} - 4 \, a^{8} b^{10}\right)} c^{4} - {\left(a^{14} b^{8} - 3 \, a^{12} b^{10} - 4 \, a^{10} b^{12}\right)} c^{2} + 4 \, {\left(a^{14} b^{10} + a^{12} b^{12}\right)} c + {\left(a^{10} b^{14} + 5 \, a^{6} b^{10} c^{4} - a^{6} b^{8} c^{5} + 2 \, {\left(a^{8} b^{10} - 4 \, a^{6} b^{12}\right)} c^{3} - 2 \, {\left(3 \, a^{8} b^{12} - 2 \, a^{6} b^{14}\right)} c^{2} - {\left(a^{10} b^{12} - 4 \, a^{8} b^{14}\right)} c\right)} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}}\right)} \sqrt{a^{2} x^{3} + b^{2}} \sqrt{\frac{a^{8} b^{4} + a^{6} b^{6} + {\left(a^{4} + a^{2} b^{2}\right)} c^{4} + 2 \, {\left(a^{6} b^{2} + a^{4} b^{4}\right)} c^{2} - {\left(a^{2} b^{8} - 2 \, a^{2} b^{6} c - b^{6} c^{2}\right)} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}}}{a^{8} b^{4} + 4 \, a^{6} b^{4} c - 4 \, a^{4} b^{2} c^{3} + a^{4} c^{4} - 2 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4}\right)} c^{2}}} \left(\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}\right)^{\frac{1}{4}} + 4 \, {\left(a^{16} b^{10} + a^{14} b^{12}\right)} c + {\left(a^{14} b^{12} + a^{12} b^{14} + {\left(a^{8} b^{6} + a^{6} b^{8}\right)} c^{6} - 4 \, {\left(a^{8} b^{8} + a^{6} b^{10}\right)} c^{5} - {\left(a^{10} b^{8} - 3 \, a^{8} b^{10} - 4 \, a^{6} b^{12}\right)} c^{4} - {\left(a^{12} b^{10} - 3 \, a^{10} b^{12} - 4 \, a^{8} b^{14}\right)} c^{2} + 4 \, {\left(a^{12} b^{12} + a^{10} b^{14}\right)} c\right)} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}}}{a^{2} + b^{2}}\right) - \sqrt{2} {\left({\left(a^{4} b^{11} - 2 \, a^{4} b^{9} c - a^{2} b^{9} c^{2}\right)} x^{6} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}} + {\left(a^{10} b^{7} + a^{8} b^{9} + {\left(a^{6} b^{3} + a^{4} b^{5}\right)} c^{4} + 2 \, {\left(a^{8} b^{5} + a^{6} b^{7}\right)} c^{2}\right)} x^{6}\right)} \sqrt{\frac{a^{8} b^{4} + a^{6} b^{6} + {\left(a^{4} + a^{2} b^{2}\right)} c^{4} + 2 \, {\left(a^{6} b^{2} + a^{4} b^{4}\right)} c^{2} - {\left(a^{2} b^{8} - 2 \, a^{2} b^{6} c - b^{6} c^{2}\right)} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}}}{a^{8} b^{4} + 4 \, a^{6} b^{4} c - 4 \, a^{4} b^{2} c^{3} + a^{4} c^{4} - 2 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4}\right)} c^{2}}} \left(\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}\right)^{\frac{1}{4}} \log\left(\frac{a^{18} b^{10} + a^{16} b^{12} + {\left(a^{10} b^{2} + a^{8} b^{4}\right)} c^{8} - 4 \, {\left(a^{10} b^{4} + a^{8} b^{6}\right)} c^{7} + 4 \, {\left(a^{10} b^{6} + a^{8} b^{8}\right)} c^{6} - 4 \, {\left(a^{12} b^{6} + a^{10} b^{8}\right)} c^{5} - 2 \, {\left(a^{14} b^{6} - 3 \, a^{12} b^{8} - 4 \, a^{10} b^{10}\right)} c^{4} + 4 \, {\left(a^{14} b^{8} + a^{12} b^{10}\right)} c^{3} + {\left(a^{20} b^{8} + a^{18} b^{10} + {\left(a^{12} + a^{10} b^{2}\right)} c^{8} - 4 \, {\left(a^{12} b^{2} + a^{10} b^{4}\right)} c^{7} + 4 \, {\left(a^{12} b^{4} + a^{10} b^{6}\right)} c^{6} - 4 \, {\left(a^{14} b^{4} + a^{12} b^{6}\right)} c^{5} - 2 \, {\left(a^{16} b^{4} - 3 \, a^{14} b^{6} - 4 \, a^{12} b^{8}\right)} c^{4} + 4 \, {\left(a^{16} b^{6} + a^{14} b^{8}\right)} c^{3} + 4 \, {\left(a^{16} b^{8} + a^{14} b^{10}\right)} c^{2} + 4 \, {\left(a^{18} b^{8} + a^{16} b^{10}\right)} c\right)} x^{3} + 4 \, {\left(a^{14} b^{10} + a^{12} b^{12}\right)} c^{2} - \sqrt{2} {\left(a^{16} b^{10} + a^{14} b^{12} + {\left(a^{10} b^{4} + a^{8} b^{6}\right)} c^{6} - 4 \, {\left(a^{10} b^{6} + a^{8} b^{8}\right)} c^{5} - {\left(a^{12} b^{6} - 3 \, a^{10} b^{8} - 4 \, a^{8} b^{10}\right)} c^{4} - {\left(a^{14} b^{8} - 3 \, a^{12} b^{10} - 4 \, a^{10} b^{12}\right)} c^{2} + 4 \, {\left(a^{14} b^{10} + a^{12} b^{12}\right)} c + {\left(a^{10} b^{14} + 5 \, a^{6} b^{10} c^{4} - a^{6} b^{8} c^{5} + 2 \, {\left(a^{8} b^{10} - 4 \, a^{6} b^{12}\right)} c^{3} - 2 \, {\left(3 \, a^{8} b^{12} - 2 \, a^{6} b^{14}\right)} c^{2} - {\left(a^{10} b^{12} - 4 \, a^{8} b^{14}\right)} c\right)} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}}\right)} \sqrt{a^{2} x^{3} + b^{2}} \sqrt{\frac{a^{8} b^{4} + a^{6} b^{6} + {\left(a^{4} + a^{2} b^{2}\right)} c^{4} + 2 \, {\left(a^{6} b^{2} + a^{4} b^{4}\right)} c^{2} - {\left(a^{2} b^{8} - 2 \, a^{2} b^{6} c - b^{6} c^{2}\right)} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}}}{a^{8} b^{4} + 4 \, a^{6} b^{4} c - 4 \, a^{4} b^{2} c^{3} + a^{4} c^{4} - 2 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4}\right)} c^{2}}} \left(\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}\right)^{\frac{1}{4}} + 4 \, {\left(a^{16} b^{10} + a^{14} b^{12}\right)} c + {\left(a^{14} b^{12} + a^{12} b^{14} + {\left(a^{8} b^{6} + a^{6} b^{8}\right)} c^{6} - 4 \, {\left(a^{8} b^{8} + a^{6} b^{10}\right)} c^{5} - {\left(a^{10} b^{8} - 3 \, a^{8} b^{10} - 4 \, a^{6} b^{12}\right)} c^{4} - {\left(a^{12} b^{10} - 3 \, a^{10} b^{12} - 4 \, a^{8} b^{14}\right)} c^{2} + 4 \, {\left(a^{12} b^{12} + a^{10} b^{14}\right)} c\right)} \sqrt{\frac{a^{10} b^{4} + a^{8} b^{6} + {\left(a^{6} + a^{4} b^{2}\right)} c^{4} + 2 \, {\left(a^{8} b^{2} + a^{6} b^{4}\right)} c^{2}}{b^{10}}}}{a^{2} + b^{2}}\right) + 2 \, {\left(2 \, a^{10} b^{7} + 2 \, a^{8} b^{9} + 2 \, {\left(a^{6} b^{3} + a^{4} b^{5}\right)} c^{4} + {\left(a^{12} b^{5} + a^{10} b^{7} + 2 \, {\left(a^{6} b + a^{4} b^{3}\right)} c^{5} + {\left(a^{8} b + a^{6} b^{3}\right)} c^{4} + 4 \, {\left(a^{8} b^{3} + a^{6} b^{5}\right)} c^{3} + 2 \, {\left(a^{10} b^{3} + a^{8} b^{5}\right)} c^{2} + 2 \, {\left(a^{10} b^{5} + a^{8} b^{7}\right)} c\right)} x^{3} + 4 \, {\left(a^{8} b^{5} + a^{6} b^{7}\right)} c^{2}\right)} \sqrt{a^{2} x^{3} + b^{2}}}{12 \, {\left(a^{10} b^{7} + a^{8} b^{9} + {\left(a^{6} b^{3} + a^{4} b^{5}\right)} c^{4} + 2 \, {\left(a^{8} b^{5} + a^{6} b^{7}\right)} c^{2}\right)} x^{6}}"," ",0,"-1/12*(4*sqrt(2)*b^13*x^6*sqrt((a^8*b^4 + a^6*b^6 + (a^4 + a^2*b^2)*c^4 + 2*(a^6*b^2 + a^4*b^4)*c^2 - (a^2*b^8 - 2*a^2*b^6*c - b^6*c^2)*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10))/(a^8*b^4 + 4*a^6*b^4*c - 4*a^4*b^2*c^3 + a^4*c^4 - 2*(a^6*b^2 - 2*a^4*b^4)*c^2))*((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10)^(3/4)*sqrt((a^10*b^4 + 4*a^8*b^4*c - 4*a^6*b^2*c^3 + a^6*c^4 - 2*(a^8*b^2 - 2*a^6*b^4)*c^2)/b^10)*arctan((sqrt(2)*sqrt(a^2*x^3 + b^2)*((a^8*b^22 + 2*a^6*b^22*c + 2*a^4*b^20*c^3 - a^4*b^18*c^4)*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10)*sqrt((a^10*b^4 + 4*a^8*b^4*c - 4*a^6*b^2*c^3 + a^6*c^4 - 2*(a^8*b^2 - 2*a^6*b^4)*c^2)/b^10) + (a^12*b^20 - a^10*b^18*c^2 - 5*a^8*b^16*c^4 - 3*a^6*b^14*c^6 + a^6*b^12*c^7 + (a^8*b^14 + 2*a^6*b^16)*c^5 - (a^10*b^16 - 4*a^8*b^18)*c^3 - (a^12*b^18 - 2*a^10*b^20)*c)*sqrt((a^10*b^4 + 4*a^8*b^4*c - 4*a^6*b^2*c^3 + a^6*c^4 - 2*(a^8*b^2 - 2*a^6*b^4)*c^2)/b^10))*sqrt((a^8*b^4 + a^6*b^6 + (a^4 + a^2*b^2)*c^4 + 2*(a^6*b^2 + a^4*b^4)*c^2 - (a^2*b^8 - 2*a^2*b^6*c - b^6*c^2)*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10))/(a^8*b^4 + 4*a^6*b^4*c - 4*a^4*b^2*c^3 + a^4*c^4 - 2*(a^6*b^2 - 2*a^4*b^4)*c^2))*((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10)^(3/4) + sqrt(2)*(b^18*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10)*sqrt((a^10*b^4 + 4*a^8*b^4*c - 4*a^6*b^2*c^3 + a^6*c^4 - 2*(a^8*b^2 - 2*a^6*b^4)*c^2)/b^10) + (a^4*b^16 - a^4*b^14*c + a^2*b^14*c^2 - a^2*b^12*c^3)*sqrt((a^10*b^4 + 4*a^8*b^4*c - 4*a^6*b^2*c^3 + a^6*c^4 - 2*(a^8*b^2 - 2*a^6*b^4)*c^2)/b^10))*sqrt((a^8*b^4 + a^6*b^6 + (a^4 + a^2*b^2)*c^4 + 2*(a^6*b^2 + a^4*b^4)*c^2 - (a^2*b^8 - 2*a^2*b^6*c - b^6*c^2)*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10))/(a^8*b^4 + 4*a^6*b^4*c - 4*a^4*b^2*c^3 + a^4*c^4 - 2*(a^6*b^2 - 2*a^4*b^4)*c^2))*sqrt((a^18*b^10 + a^16*b^12 + (a^10*b^2 + a^8*b^4)*c^8 - 4*(a^10*b^4 + a^8*b^6)*c^7 + 4*(a^10*b^6 + a^8*b^8)*c^6 - 4*(a^12*b^6 + a^10*b^8)*c^5 - 2*(a^14*b^6 - 3*a^12*b^8 - 4*a^10*b^10)*c^4 + 4*(a^14*b^8 + a^12*b^10)*c^3 + (a^20*b^8 + a^18*b^10 + (a^12 + a^10*b^2)*c^8 - 4*(a^12*b^2 + a^10*b^4)*c^7 + 4*(a^12*b^4 + a^10*b^6)*c^6 - 4*(a^14*b^4 + a^12*b^6)*c^5 - 2*(a^16*b^4 - 3*a^14*b^6 - 4*a^12*b^8)*c^4 + 4*(a^16*b^6 + a^14*b^8)*c^3 + 4*(a^16*b^8 + a^14*b^10)*c^2 + 4*(a^18*b^8 + a^16*b^10)*c)*x^3 + 4*(a^14*b^10 + a^12*b^12)*c^2 + sqrt(2)*(a^16*b^10 + a^14*b^12 + (a^10*b^4 + a^8*b^6)*c^6 - 4*(a^10*b^6 + a^8*b^8)*c^5 - (a^12*b^6 - 3*a^10*b^8 - 4*a^8*b^10)*c^4 - (a^14*b^8 - 3*a^12*b^10 - 4*a^10*b^12)*c^2 + 4*(a^14*b^10 + a^12*b^12)*c + (a^10*b^14 + 5*a^6*b^10*c^4 - a^6*b^8*c^5 + 2*(a^8*b^10 - 4*a^6*b^12)*c^3 - 2*(3*a^8*b^12 - 2*a^6*b^14)*c^2 - (a^10*b^12 - 4*a^8*b^14)*c)*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10))*sqrt(a^2*x^3 + b^2)*sqrt((a^8*b^4 + a^6*b^6 + (a^4 + a^2*b^2)*c^4 + 2*(a^6*b^2 + a^4*b^4)*c^2 - (a^2*b^8 - 2*a^2*b^6*c - b^6*c^2)*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10))/(a^8*b^4 + 4*a^6*b^4*c - 4*a^4*b^2*c^3 + a^4*c^4 - 2*(a^6*b^2 - 2*a^4*b^4)*c^2))*((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10)^(1/4) + 4*(a^16*b^10 + a^14*b^12)*c + (a^14*b^12 + a^12*b^14 + (a^8*b^6 + a^6*b^8)*c^6 - 4*(a^8*b^8 + a^6*b^10)*c^5 - (a^10*b^8 - 3*a^8*b^10 - 4*a^6*b^12)*c^4 - (a^12*b^10 - 3*a^10*b^12 - 4*a^8*b^14)*c^2 + 4*(a^12*b^12 + a^10*b^14)*c)*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10))/(a^2 + b^2))*((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10)^(3/4) + (a^16*b^18 + a^14*b^20 - (a^8*b^10 + a^6*b^12)*c^8 + 2*(a^8*b^12 + a^6*b^14)*c^7 - 2*(a^10*b^12 + a^8*b^14)*c^6 + 6*(a^10*b^14 + a^8*b^16)*c^5 + 6*(a^12*b^16 + a^10*b^18)*c^3 + 2*(a^14*b^16 + a^12*b^18)*c^2 + 2*(a^14*b^18 + a^12*b^20)*c)*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10)*sqrt((a^10*b^4 + 4*a^8*b^4*c - 4*a^6*b^2*c^3 + a^6*c^4 - 2*(a^8*b^2 - 2*a^6*b^4)*c^2)/b^10) + (a^20*b^16 + a^18*b^18 - (a^10*b^6 + a^8*b^8)*c^10 + 2*(a^10*b^8 + a^8*b^10)*c^9 - 3*(a^12*b^8 + a^10*b^10)*c^8 + 8*(a^12*b^10 + a^10*b^12)*c^7 - 2*(a^14*b^10 + a^12*b^12)*c^6 + 12*(a^14*b^12 + a^12*b^14)*c^5 + 2*(a^16*b^12 + a^14*b^14)*c^4 + 8*(a^16*b^14 + a^14*b^16)*c^3 + 3*(a^18*b^14 + a^16*b^16)*c^2 + 2*(a^18*b^16 + a^16*b^18)*c)*sqrt((a^10*b^4 + 4*a^8*b^4*c - 4*a^6*b^2*c^3 + a^6*c^4 - 2*(a^8*b^2 - 2*a^6*b^4)*c^2)/b^10))/(a^26*b^12 + a^24*b^14 + (a^14 + a^12*b^2)*c^12 - 4*(a^14*b^2 + a^12*b^4)*c^11 + 2*(a^16*b^2 + 3*a^14*b^4 + 2*a^12*b^6)*c^10 - 12*(a^16*b^4 + a^14*b^6)*c^9 - (a^18*b^4 - 15*a^16*b^6 - 16*a^14*b^8)*c^8 - 8*(a^18*b^6 + a^16*b^8)*c^7 - 4*(a^20*b^6 - 5*a^18*b^8 - 6*a^16*b^10)*c^6 + 8*(a^20*b^8 + a^18*b^10)*c^5 - (a^22*b^8 - 15*a^20*b^10 - 16*a^18*b^12)*c^4 + 12*(a^22*b^10 + a^20*b^12)*c^3 + 2*(a^24*b^10 + 3*a^22*b^12 + 2*a^20*b^14)*c^2 + 4*(a^24*b^12 + a^22*b^14)*c)) + 4*sqrt(2)*b^13*x^6*sqrt((a^8*b^4 + a^6*b^6 + (a^4 + a^2*b^2)*c^4 + 2*(a^6*b^2 + a^4*b^4)*c^2 - (a^2*b^8 - 2*a^2*b^6*c - b^6*c^2)*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10))/(a^8*b^4 + 4*a^6*b^4*c - 4*a^4*b^2*c^3 + a^4*c^4 - 2*(a^6*b^2 - 2*a^4*b^4)*c^2))*((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10)^(3/4)*sqrt((a^10*b^4 + 4*a^8*b^4*c - 4*a^6*b^2*c^3 + a^6*c^4 - 2*(a^8*b^2 - 2*a^6*b^4)*c^2)/b^10)*arctan((sqrt(2)*sqrt(a^2*x^3 + b^2)*((a^8*b^22 + 2*a^6*b^22*c + 2*a^4*b^20*c^3 - a^4*b^18*c^4)*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10)*sqrt((a^10*b^4 + 4*a^8*b^4*c - 4*a^6*b^2*c^3 + a^6*c^4 - 2*(a^8*b^2 - 2*a^6*b^4)*c^2)/b^10) + (a^12*b^20 - a^10*b^18*c^2 - 5*a^8*b^16*c^4 - 3*a^6*b^14*c^6 + a^6*b^12*c^7 + (a^8*b^14 + 2*a^6*b^16)*c^5 - (a^10*b^16 - 4*a^8*b^18)*c^3 - (a^12*b^18 - 2*a^10*b^20)*c)*sqrt((a^10*b^4 + 4*a^8*b^4*c - 4*a^6*b^2*c^3 + a^6*c^4 - 2*(a^8*b^2 - 2*a^6*b^4)*c^2)/b^10))*sqrt((a^8*b^4 + a^6*b^6 + (a^4 + a^2*b^2)*c^4 + 2*(a^6*b^2 + a^4*b^4)*c^2 - (a^2*b^8 - 2*a^2*b^6*c - b^6*c^2)*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10))/(a^8*b^4 + 4*a^6*b^4*c - 4*a^4*b^2*c^3 + a^4*c^4 - 2*(a^6*b^2 - 2*a^4*b^4)*c^2))*((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10)^(3/4) + sqrt(2)*(b^18*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10)*sqrt((a^10*b^4 + 4*a^8*b^4*c - 4*a^6*b^2*c^3 + a^6*c^4 - 2*(a^8*b^2 - 2*a^6*b^4)*c^2)/b^10) + (a^4*b^16 - a^4*b^14*c + a^2*b^14*c^2 - a^2*b^12*c^3)*sqrt((a^10*b^4 + 4*a^8*b^4*c - 4*a^6*b^2*c^3 + a^6*c^4 - 2*(a^8*b^2 - 2*a^6*b^4)*c^2)/b^10))*sqrt((a^8*b^4 + a^6*b^6 + (a^4 + a^2*b^2)*c^4 + 2*(a^6*b^2 + a^4*b^4)*c^2 - (a^2*b^8 - 2*a^2*b^6*c - b^6*c^2)*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10))/(a^8*b^4 + 4*a^6*b^4*c - 4*a^4*b^2*c^3 + a^4*c^4 - 2*(a^6*b^2 - 2*a^4*b^4)*c^2))*sqrt((a^18*b^10 + a^16*b^12 + (a^10*b^2 + a^8*b^4)*c^8 - 4*(a^10*b^4 + a^8*b^6)*c^7 + 4*(a^10*b^6 + a^8*b^8)*c^6 - 4*(a^12*b^6 + a^10*b^8)*c^5 - 2*(a^14*b^6 - 3*a^12*b^8 - 4*a^10*b^10)*c^4 + 4*(a^14*b^8 + a^12*b^10)*c^3 + (a^20*b^8 + a^18*b^10 + (a^12 + a^10*b^2)*c^8 - 4*(a^12*b^2 + a^10*b^4)*c^7 + 4*(a^12*b^4 + a^10*b^6)*c^6 - 4*(a^14*b^4 + a^12*b^6)*c^5 - 2*(a^16*b^4 - 3*a^14*b^6 - 4*a^12*b^8)*c^4 + 4*(a^16*b^6 + a^14*b^8)*c^3 + 4*(a^16*b^8 + a^14*b^10)*c^2 + 4*(a^18*b^8 + a^16*b^10)*c)*x^3 + 4*(a^14*b^10 + a^12*b^12)*c^2 - sqrt(2)*(a^16*b^10 + a^14*b^12 + (a^10*b^4 + a^8*b^6)*c^6 - 4*(a^10*b^6 + a^8*b^8)*c^5 - (a^12*b^6 - 3*a^10*b^8 - 4*a^8*b^10)*c^4 - (a^14*b^8 - 3*a^12*b^10 - 4*a^10*b^12)*c^2 + 4*(a^14*b^10 + a^12*b^12)*c + (a^10*b^14 + 5*a^6*b^10*c^4 - a^6*b^8*c^5 + 2*(a^8*b^10 - 4*a^6*b^12)*c^3 - 2*(3*a^8*b^12 - 2*a^6*b^14)*c^2 - (a^10*b^12 - 4*a^8*b^14)*c)*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10))*sqrt(a^2*x^3 + b^2)*sqrt((a^8*b^4 + a^6*b^6 + (a^4 + a^2*b^2)*c^4 + 2*(a^6*b^2 + a^4*b^4)*c^2 - (a^2*b^8 - 2*a^2*b^6*c - b^6*c^2)*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10))/(a^8*b^4 + 4*a^6*b^4*c - 4*a^4*b^2*c^3 + a^4*c^4 - 2*(a^6*b^2 - 2*a^4*b^4)*c^2))*((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10)^(1/4) + 4*(a^16*b^10 + a^14*b^12)*c + (a^14*b^12 + a^12*b^14 + (a^8*b^6 + a^6*b^8)*c^6 - 4*(a^8*b^8 + a^6*b^10)*c^5 - (a^10*b^8 - 3*a^8*b^10 - 4*a^6*b^12)*c^4 - (a^12*b^10 - 3*a^10*b^12 - 4*a^8*b^14)*c^2 + 4*(a^12*b^12 + a^10*b^14)*c)*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10))/(a^2 + b^2))*((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10)^(3/4) - (a^16*b^18 + a^14*b^20 - (a^8*b^10 + a^6*b^12)*c^8 + 2*(a^8*b^12 + a^6*b^14)*c^7 - 2*(a^10*b^12 + a^8*b^14)*c^6 + 6*(a^10*b^14 + a^8*b^16)*c^5 + 6*(a^12*b^16 + a^10*b^18)*c^3 + 2*(a^14*b^16 + a^12*b^18)*c^2 + 2*(a^14*b^18 + a^12*b^20)*c)*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10)*sqrt((a^10*b^4 + 4*a^8*b^4*c - 4*a^6*b^2*c^3 + a^6*c^4 - 2*(a^8*b^2 - 2*a^6*b^4)*c^2)/b^10) - (a^20*b^16 + a^18*b^18 - (a^10*b^6 + a^8*b^8)*c^10 + 2*(a^10*b^8 + a^8*b^10)*c^9 - 3*(a^12*b^8 + a^10*b^10)*c^8 + 8*(a^12*b^10 + a^10*b^12)*c^7 - 2*(a^14*b^10 + a^12*b^12)*c^6 + 12*(a^14*b^12 + a^12*b^14)*c^5 + 2*(a^16*b^12 + a^14*b^14)*c^4 + 8*(a^16*b^14 + a^14*b^16)*c^3 + 3*(a^18*b^14 + a^16*b^16)*c^2 + 2*(a^18*b^16 + a^16*b^18)*c)*sqrt((a^10*b^4 + 4*a^8*b^4*c - 4*a^6*b^2*c^3 + a^6*c^4 - 2*(a^8*b^2 - 2*a^6*b^4)*c^2)/b^10))/(a^26*b^12 + a^24*b^14 + (a^14 + a^12*b^2)*c^12 - 4*(a^14*b^2 + a^12*b^4)*c^11 + 2*(a^16*b^2 + 3*a^14*b^4 + 2*a^12*b^6)*c^10 - 12*(a^16*b^4 + a^14*b^6)*c^9 - (a^18*b^4 - 15*a^16*b^6 - 16*a^14*b^8)*c^8 - 8*(a^18*b^6 + a^16*b^8)*c^7 - 4*(a^20*b^6 - 5*a^18*b^8 - 6*a^16*b^10)*c^6 + 8*(a^20*b^8 + a^18*b^10)*c^5 - (a^22*b^8 - 15*a^20*b^10 - 16*a^18*b^12)*c^4 + 12*(a^22*b^10 + a^20*b^12)*c^3 + 2*(a^24*b^10 + 3*a^22*b^12 + 2*a^20*b^14)*c^2 + 4*(a^24*b^12 + a^22*b^14)*c)) - (a^14*b^4 + 5*a^12*b^6 + 4*a^10*b^8 - 2*(a^8 + a^6*b^2)*c^5 + (a^10 + 5*a^8*b^2 + 4*a^6*b^4)*c^4 - 4*(a^10*b^2 + a^8*b^4)*c^3 + 2*(a^12*b^2 + 5*a^10*b^4 + 4*a^8*b^6)*c^2 - 2*(a^12*b^4 + a^10*b^6)*c)*x^6*log(b + sqrt(a^2*x^3 + b^2)) + (a^14*b^4 + 5*a^12*b^6 + 4*a^10*b^8 - 2*(a^8 + a^6*b^2)*c^5 + (a^10 + 5*a^8*b^2 + 4*a^6*b^4)*c^4 - 4*(a^10*b^2 + a^8*b^4)*c^3 + 2*(a^12*b^2 + 5*a^10*b^4 + 4*a^8*b^6)*c^2 - 2*(a^12*b^4 + a^10*b^6)*c)*x^6*log(-b + sqrt(a^2*x^3 + b^2)) + sqrt(2)*((a^4*b^11 - 2*a^4*b^9*c - a^2*b^9*c^2)*x^6*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10) + (a^10*b^7 + a^8*b^9 + (a^6*b^3 + a^4*b^5)*c^4 + 2*(a^8*b^5 + a^6*b^7)*c^2)*x^6)*sqrt((a^8*b^4 + a^6*b^6 + (a^4 + a^2*b^2)*c^4 + 2*(a^6*b^2 + a^4*b^4)*c^2 - (a^2*b^8 - 2*a^2*b^6*c - b^6*c^2)*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10))/(a^8*b^4 + 4*a^6*b^4*c - 4*a^4*b^2*c^3 + a^4*c^4 - 2*(a^6*b^2 - 2*a^4*b^4)*c^2))*((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10)^(1/4)*log((a^18*b^10 + a^16*b^12 + (a^10*b^2 + a^8*b^4)*c^8 - 4*(a^10*b^4 + a^8*b^6)*c^7 + 4*(a^10*b^6 + a^8*b^8)*c^6 - 4*(a^12*b^6 + a^10*b^8)*c^5 - 2*(a^14*b^6 - 3*a^12*b^8 - 4*a^10*b^10)*c^4 + 4*(a^14*b^8 + a^12*b^10)*c^3 + (a^20*b^8 + a^18*b^10 + (a^12 + a^10*b^2)*c^8 - 4*(a^12*b^2 + a^10*b^4)*c^7 + 4*(a^12*b^4 + a^10*b^6)*c^6 - 4*(a^14*b^4 + a^12*b^6)*c^5 - 2*(a^16*b^4 - 3*a^14*b^6 - 4*a^12*b^8)*c^4 + 4*(a^16*b^6 + a^14*b^8)*c^3 + 4*(a^16*b^8 + a^14*b^10)*c^2 + 4*(a^18*b^8 + a^16*b^10)*c)*x^3 + 4*(a^14*b^10 + a^12*b^12)*c^2 + sqrt(2)*(a^16*b^10 + a^14*b^12 + (a^10*b^4 + a^8*b^6)*c^6 - 4*(a^10*b^6 + a^8*b^8)*c^5 - (a^12*b^6 - 3*a^10*b^8 - 4*a^8*b^10)*c^4 - (a^14*b^8 - 3*a^12*b^10 - 4*a^10*b^12)*c^2 + 4*(a^14*b^10 + a^12*b^12)*c + (a^10*b^14 + 5*a^6*b^10*c^4 - a^6*b^8*c^5 + 2*(a^8*b^10 - 4*a^6*b^12)*c^3 - 2*(3*a^8*b^12 - 2*a^6*b^14)*c^2 - (a^10*b^12 - 4*a^8*b^14)*c)*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10))*sqrt(a^2*x^3 + b^2)*sqrt((a^8*b^4 + a^6*b^6 + (a^4 + a^2*b^2)*c^4 + 2*(a^6*b^2 + a^4*b^4)*c^2 - (a^2*b^8 - 2*a^2*b^6*c - b^6*c^2)*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10))/(a^8*b^4 + 4*a^6*b^4*c - 4*a^4*b^2*c^3 + a^4*c^4 - 2*(a^6*b^2 - 2*a^4*b^4)*c^2))*((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10)^(1/4) + 4*(a^16*b^10 + a^14*b^12)*c + (a^14*b^12 + a^12*b^14 + (a^8*b^6 + a^6*b^8)*c^6 - 4*(a^8*b^8 + a^6*b^10)*c^5 - (a^10*b^8 - 3*a^8*b^10 - 4*a^6*b^12)*c^4 - (a^12*b^10 - 3*a^10*b^12 - 4*a^8*b^14)*c^2 + 4*(a^12*b^12 + a^10*b^14)*c)*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10))/(a^2 + b^2)) - sqrt(2)*((a^4*b^11 - 2*a^4*b^9*c - a^2*b^9*c^2)*x^6*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10) + (a^10*b^7 + a^8*b^9 + (a^6*b^3 + a^4*b^5)*c^4 + 2*(a^8*b^5 + a^6*b^7)*c^2)*x^6)*sqrt((a^8*b^4 + a^6*b^6 + (a^4 + a^2*b^2)*c^4 + 2*(a^6*b^2 + a^4*b^4)*c^2 - (a^2*b^8 - 2*a^2*b^6*c - b^6*c^2)*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10))/(a^8*b^4 + 4*a^6*b^4*c - 4*a^4*b^2*c^3 + a^4*c^4 - 2*(a^6*b^2 - 2*a^4*b^4)*c^2))*((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10)^(1/4)*log((a^18*b^10 + a^16*b^12 + (a^10*b^2 + a^8*b^4)*c^8 - 4*(a^10*b^4 + a^8*b^6)*c^7 + 4*(a^10*b^6 + a^8*b^8)*c^6 - 4*(a^12*b^6 + a^10*b^8)*c^5 - 2*(a^14*b^6 - 3*a^12*b^8 - 4*a^10*b^10)*c^4 + 4*(a^14*b^8 + a^12*b^10)*c^3 + (a^20*b^8 + a^18*b^10 + (a^12 + a^10*b^2)*c^8 - 4*(a^12*b^2 + a^10*b^4)*c^7 + 4*(a^12*b^4 + a^10*b^6)*c^6 - 4*(a^14*b^4 + a^12*b^6)*c^5 - 2*(a^16*b^4 - 3*a^14*b^6 - 4*a^12*b^8)*c^4 + 4*(a^16*b^6 + a^14*b^8)*c^3 + 4*(a^16*b^8 + a^14*b^10)*c^2 + 4*(a^18*b^8 + a^16*b^10)*c)*x^3 + 4*(a^14*b^10 + a^12*b^12)*c^2 - sqrt(2)*(a^16*b^10 + a^14*b^12 + (a^10*b^4 + a^8*b^6)*c^6 - 4*(a^10*b^6 + a^8*b^8)*c^5 - (a^12*b^6 - 3*a^10*b^8 - 4*a^8*b^10)*c^4 - (a^14*b^8 - 3*a^12*b^10 - 4*a^10*b^12)*c^2 + 4*(a^14*b^10 + a^12*b^12)*c + (a^10*b^14 + 5*a^6*b^10*c^4 - a^6*b^8*c^5 + 2*(a^8*b^10 - 4*a^6*b^12)*c^3 - 2*(3*a^8*b^12 - 2*a^6*b^14)*c^2 - (a^10*b^12 - 4*a^8*b^14)*c)*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10))*sqrt(a^2*x^3 + b^2)*sqrt((a^8*b^4 + a^6*b^6 + (a^4 + a^2*b^2)*c^4 + 2*(a^6*b^2 + a^4*b^4)*c^2 - (a^2*b^8 - 2*a^2*b^6*c - b^6*c^2)*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10))/(a^8*b^4 + 4*a^6*b^4*c - 4*a^4*b^2*c^3 + a^4*c^4 - 2*(a^6*b^2 - 2*a^4*b^4)*c^2))*((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10)^(1/4) + 4*(a^16*b^10 + a^14*b^12)*c + (a^14*b^12 + a^12*b^14 + (a^8*b^6 + a^6*b^8)*c^6 - 4*(a^8*b^8 + a^6*b^10)*c^5 - (a^10*b^8 - 3*a^8*b^10 - 4*a^6*b^12)*c^4 - (a^12*b^10 - 3*a^10*b^12 - 4*a^8*b^14)*c^2 + 4*(a^12*b^12 + a^10*b^14)*c)*sqrt((a^10*b^4 + a^8*b^6 + (a^6 + a^4*b^2)*c^4 + 2*(a^8*b^2 + a^6*b^4)*c^2)/b^10))/(a^2 + b^2)) + 2*(2*a^10*b^7 + 2*a^8*b^9 + 2*(a^6*b^3 + a^4*b^5)*c^4 + (a^12*b^5 + a^10*b^7 + 2*(a^6*b + a^4*b^3)*c^5 + (a^8*b + a^6*b^3)*c^4 + 4*(a^8*b^3 + a^6*b^5)*c^3 + 2*(a^10*b^3 + a^8*b^5)*c^2 + 2*(a^10*b^5 + a^8*b^7)*c)*x^3 + 4*(a^8*b^5 + a^6*b^7)*c^2)*sqrt(a^2*x^3 + b^2))/((a^10*b^7 + a^8*b^9 + (a^6*b^3 + a^4*b^5)*c^4 + 2*(a^8*b^5 + a^6*b^7)*c^2)*x^6)","B",0
2710,1,57,0,0.558037," ","integrate((x^4-2)*(x^4+2)^(1/2)/(x^4+x^2+2)/(x^4+2*x^2+2),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{2 \, \sqrt{2} \sqrt{x^{4} + 2} x}{x^{4} - 2 \, x^{2} + 2}\right) + \frac{1}{2} \, \arctan\left(\frac{2 \, \sqrt{x^{4} + 2} x}{x^{4} - x^{2} + 2}\right)"," ",0,"-1/2*sqrt(2)*arctan(2*sqrt(2)*sqrt(x^4 + 2)*x/(x^4 - 2*x^2 + 2)) + 1/2*arctan(2*sqrt(x^4 + 2)*x/(x^4 - x^2 + 2))","B",0
2711,1,1328,0,24.385322," ","integrate(x^2*(x^8-2)*(x^8-2*x^4+2)^(1/4)/(x^8+2)/(2*x^8-x^4+4),x, algorithm=""fricas"")","-\frac{1}{16} \cdot 8^{\frac{3}{4}} \sqrt{2} \arctan\left(\frac{4 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} + 8^{\frac{3}{4}} \sqrt{2} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{3}{4}} x + {\left(8^{\frac{3}{4}} \sqrt{2} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} + 2 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{3}{4}} x - 8 \, \sqrt{x^{8} - 2 \, x^{4} + 2} x^{2} - 2 \, \sqrt{2} {\left(x^{8} + 2\right)}\right)} \sqrt{\frac{2 \, x^{8} + 4 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} + 8^{\frac{3}{4}} \sqrt{2} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{3}{4}} x + 8 \, \sqrt{2} \sqrt{x^{8} - 2 \, x^{4} + 2} x^{2} + 4}{x^{8} + 2}}}{4 \, {\left(x^{8} - 4 \, x^{4} + 2\right)}}\right) - \frac{1}{16} \cdot 8^{\frac{3}{4}} \sqrt{2} \arctan\left(\frac{4 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} + 8^{\frac{3}{4}} \sqrt{2} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{3}{4}} x + {\left(8^{\frac{3}{4}} \sqrt{2} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} + 2 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{3}{4}} x + 8 \, \sqrt{x^{8} - 2 \, x^{4} + 2} x^{2} + 2 \, \sqrt{2} {\left(x^{8} + 2\right)}\right)} \sqrt{\frac{2 \, x^{8} - 4 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} - 8^{\frac{3}{4}} \sqrt{2} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{3}{4}} x + 8 \, \sqrt{2} \sqrt{x^{8} - 2 \, x^{4} + 2} x^{2} + 4}{x^{8} + 2}}}{4 \, {\left(x^{8} - 4 \, x^{4} + 2\right)}}\right) + \frac{1}{64} \cdot 8^{\frac{3}{4}} \sqrt{2} \log\left(\frac{4 \, {\left(2 \, x^{8} + 4 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} + 8^{\frac{3}{4}} \sqrt{2} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{3}{4}} x + 8 \, \sqrt{2} \sqrt{x^{8} - 2 \, x^{4} + 2} x^{2} + 4\right)}}{x^{8} + 2}\right) - \frac{1}{64} \cdot 8^{\frac{3}{4}} \sqrt{2} \log\left(\frac{4 \, {\left(2 \, x^{8} - 4 \cdot 8^{\frac{1}{4}} \sqrt{2} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} - 8^{\frac{3}{4}} \sqrt{2} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{3}{4}} x + 8 \, \sqrt{2} \sqrt{x^{8} - 2 \, x^{4} + 2} x^{2} + 4\right)}}{x^{8} + 2}\right) + \frac{1}{4} \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} \arctan\left(\frac{6 \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} + 12 \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{3}{4}} x + \sqrt{6} {\left(6 \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} + 2 \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{3}{4}} x - 12 \, \sqrt{x^{8} - 2 \, x^{4} + 2} x^{2} - \sqrt{3} \sqrt{2} {\left(2 \, x^{8} - x^{4} + 4\right)}\right)} \sqrt{\frac{2 \, x^{8} + 2 \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} - x^{4} + 4 \, \sqrt{3} \sqrt{2} \sqrt{x^{8} - 2 \, x^{4} + 2} x^{2} + 4 \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{3}{4}} x + 4}{2 \, x^{8} - x^{4} + 4}}}{6 \, {\left(2 \, x^{8} - 7 \, x^{4} + 4\right)}}\right) + \frac{1}{4} \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} \arctan\left(\frac{6 \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} + 12 \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{3}{4}} x + \sqrt{6} {\left(6 \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} + 2 \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{3}{4}} x + 12 \, \sqrt{x^{8} - 2 \, x^{4} + 2} x^{2} + \sqrt{3} \sqrt{2} {\left(2 \, x^{8} - x^{4} + 4\right)}\right)} \sqrt{\frac{2 \, x^{8} - 2 \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} - x^{4} + 4 \, \sqrt{3} \sqrt{2} \sqrt{x^{8} - 2 \, x^{4} + 2} x^{2} - 4 \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{3}{4}} x + 4}{2 \, x^{8} - x^{4} + 4}}}{6 \, {\left(2 \, x^{8} - 7 \, x^{4} + 4\right)}}\right) - \frac{1}{16} \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} \log\left(\frac{6 \, {\left(2 \, x^{8} + 2 \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} - x^{4} + 4 \, \sqrt{3} \sqrt{2} \sqrt{x^{8} - 2 \, x^{4} + 2} x^{2} + 4 \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{3}{4}} x + 4\right)}}{2 \, x^{8} - x^{4} + 4}\right) + \frac{1}{16} \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} \log\left(\frac{6 \, {\left(2 \, x^{8} - 2 \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{1}{4}} x^{3} - x^{4} + 4 \, \sqrt{3} \sqrt{2} \sqrt{x^{8} - 2 \, x^{4} + 2} x^{2} - 4 \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} {\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{3}{4}} x + 4\right)}}{2 \, x^{8} - x^{4} + 4}\right)"," ",0,"-1/16*8^(3/4)*sqrt(2)*arctan(1/4*(4*8^(1/4)*sqrt(2)*(x^8 - 2*x^4 + 2)^(1/4)*x^3 + 8^(3/4)*sqrt(2)*(x^8 - 2*x^4 + 2)^(3/4)*x + (8^(3/4)*sqrt(2)*(x^8 - 2*x^4 + 2)^(1/4)*x^3 + 2*8^(1/4)*sqrt(2)*(x^8 - 2*x^4 + 2)^(3/4)*x - 8*sqrt(x^8 - 2*x^4 + 2)*x^2 - 2*sqrt(2)*(x^8 + 2))*sqrt((2*x^8 + 4*8^(1/4)*sqrt(2)*(x^8 - 2*x^4 + 2)^(1/4)*x^3 + 8^(3/4)*sqrt(2)*(x^8 - 2*x^4 + 2)^(3/4)*x + 8*sqrt(2)*sqrt(x^8 - 2*x^4 + 2)*x^2 + 4)/(x^8 + 2)))/(x^8 - 4*x^4 + 2)) - 1/16*8^(3/4)*sqrt(2)*arctan(1/4*(4*8^(1/4)*sqrt(2)*(x^8 - 2*x^4 + 2)^(1/4)*x^3 + 8^(3/4)*sqrt(2)*(x^8 - 2*x^4 + 2)^(3/4)*x + (8^(3/4)*sqrt(2)*(x^8 - 2*x^4 + 2)^(1/4)*x^3 + 2*8^(1/4)*sqrt(2)*(x^8 - 2*x^4 + 2)^(3/4)*x + 8*sqrt(x^8 - 2*x^4 + 2)*x^2 + 2*sqrt(2)*(x^8 + 2))*sqrt((2*x^8 - 4*8^(1/4)*sqrt(2)*(x^8 - 2*x^4 + 2)^(1/4)*x^3 - 8^(3/4)*sqrt(2)*(x^8 - 2*x^4 + 2)^(3/4)*x + 8*sqrt(2)*sqrt(x^8 - 2*x^4 + 2)*x^2 + 4)/(x^8 + 2)))/(x^8 - 4*x^4 + 2)) + 1/64*8^(3/4)*sqrt(2)*log(4*(2*x^8 + 4*8^(1/4)*sqrt(2)*(x^8 - 2*x^4 + 2)^(1/4)*x^3 + 8^(3/4)*sqrt(2)*(x^8 - 2*x^4 + 2)^(3/4)*x + 8*sqrt(2)*sqrt(x^8 - 2*x^4 + 2)*x^2 + 4)/(x^8 + 2)) - 1/64*8^(3/4)*sqrt(2)*log(4*(2*x^8 - 4*8^(1/4)*sqrt(2)*(x^8 - 2*x^4 + 2)^(1/4)*x^3 - 8^(3/4)*sqrt(2)*(x^8 - 2*x^4 + 2)^(3/4)*x + 8*sqrt(2)*sqrt(x^8 - 2*x^4 + 2)*x^2 + 4)/(x^8 + 2)) + 1/4*3^(1/4)*2^(1/4)*arctan(1/6*(6*3^(3/4)*2^(3/4)*(x^8 - 2*x^4 + 2)^(1/4)*x^3 + 12*3^(1/4)*2^(1/4)*(x^8 - 2*x^4 + 2)^(3/4)*x + sqrt(6)*(6*3^(1/4)*2^(1/4)*(x^8 - 2*x^4 + 2)^(1/4)*x^3 + 2*3^(3/4)*2^(3/4)*(x^8 - 2*x^4 + 2)^(3/4)*x - 12*sqrt(x^8 - 2*x^4 + 2)*x^2 - sqrt(3)*sqrt(2)*(2*x^8 - x^4 + 4))*sqrt((2*x^8 + 2*3^(3/4)*2^(3/4)*(x^8 - 2*x^4 + 2)^(1/4)*x^3 - x^4 + 4*sqrt(3)*sqrt(2)*sqrt(x^8 - 2*x^4 + 2)*x^2 + 4*3^(1/4)*2^(1/4)*(x^8 - 2*x^4 + 2)^(3/4)*x + 4)/(2*x^8 - x^4 + 4)))/(2*x^8 - 7*x^4 + 4)) + 1/4*3^(1/4)*2^(1/4)*arctan(1/6*(6*3^(3/4)*2^(3/4)*(x^8 - 2*x^4 + 2)^(1/4)*x^3 + 12*3^(1/4)*2^(1/4)*(x^8 - 2*x^4 + 2)^(3/4)*x + sqrt(6)*(6*3^(1/4)*2^(1/4)*(x^8 - 2*x^4 + 2)^(1/4)*x^3 + 2*3^(3/4)*2^(3/4)*(x^8 - 2*x^4 + 2)^(3/4)*x + 12*sqrt(x^8 - 2*x^4 + 2)*x^2 + sqrt(3)*sqrt(2)*(2*x^8 - x^4 + 4))*sqrt((2*x^8 - 2*3^(3/4)*2^(3/4)*(x^8 - 2*x^4 + 2)^(1/4)*x^3 - x^4 + 4*sqrt(3)*sqrt(2)*sqrt(x^8 - 2*x^4 + 2)*x^2 - 4*3^(1/4)*2^(1/4)*(x^8 - 2*x^4 + 2)^(3/4)*x + 4)/(2*x^8 - x^4 + 4)))/(2*x^8 - 7*x^4 + 4)) - 1/16*3^(1/4)*2^(1/4)*log(6*(2*x^8 + 2*3^(3/4)*2^(3/4)*(x^8 - 2*x^4 + 2)^(1/4)*x^3 - x^4 + 4*sqrt(3)*sqrt(2)*sqrt(x^8 - 2*x^4 + 2)*x^2 + 4*3^(1/4)*2^(1/4)*(x^8 - 2*x^4 + 2)^(3/4)*x + 4)/(2*x^8 - x^4 + 4)) + 1/16*3^(1/4)*2^(1/4)*log(6*(2*x^8 - 2*3^(3/4)*2^(3/4)*(x^8 - 2*x^4 + 2)^(1/4)*x^3 - x^4 + 4*sqrt(3)*sqrt(2)*sqrt(x^8 - 2*x^4 + 2)*x^2 - 4*3^(1/4)*2^(1/4)*(x^8 - 2*x^4 + 2)^(3/4)*x + 4)/(2*x^8 - x^4 + 4))","B",0
2712,1,5633,0,10.777011," ","integrate((x^2-1)/(x^2+1)/(x+(1+x)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{1}{20} \, \sqrt{5} \sqrt{5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24} + 4} \log\left(-\frac{10 \, {\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 40 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 10 \, x + 80\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} + 10 \, {\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + 8 \, {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 220 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 820 \, x + 440\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + 20 \, {\left({\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 40 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 10 \, x + 80\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - 10 \, {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 90 \, x - 20\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24} - 100 \, {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + 2 \, {\left(11 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 41 \, x - 22\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 320 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 80 \, x - 760\right)} \sqrt{x + \sqrt{x + 1}} + {\left(10 \, {\left(\sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} + \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + {\left(10 \, \sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} - {\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} + 1200 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + 10 \, {\left(8 \, \sqrt{5} {\left(11 \, x + 13\right)} \sqrt{x + 1} + \sqrt{5} {\left(33 \, x^{2} + 104 \, x + 55\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - {\left({\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - 80 \, \sqrt{5} {\left(11 \, x + 13\right)} \sqrt{x + 1} + 8 \, {\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 10 \, \sqrt{5} {\left(33 \, x^{2} + 104 \, x + 55\right)}\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + 400 \, \sqrt{5} {\left(23 \, x^{2} - 6 \, x - 20\right)} + 2 \, {\left(400 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + 10 \, {\left(\sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} + \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + {\left(10 \, \sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} - {\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + 50 \, \sqrt{5} {\left(3 \, x^{2} - 16 \, x + 5\right)}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24}\right)} \sqrt{5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24} + 4}}{100 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{20} \, \sqrt{5} \sqrt{5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24} + 4} \log\left(-\frac{10 \, {\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 40 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 10 \, x + 80\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} + 10 \, {\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + 8 \, {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 220 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 820 \, x + 440\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + 20 \, {\left({\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 40 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 10 \, x + 80\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - 10 \, {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 90 \, x - 20\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24} - 100 \, {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + 2 \, {\left(11 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 41 \, x - 22\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 320 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 80 \, x - 760\right)} \sqrt{x + \sqrt{x + 1}} - {\left(10 \, {\left(\sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} + \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + {\left(10 \, \sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} - {\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} + 1200 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + 10 \, {\left(8 \, \sqrt{5} {\left(11 \, x + 13\right)} \sqrt{x + 1} + \sqrt{5} {\left(33 \, x^{2} + 104 \, x + 55\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - {\left({\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - 80 \, \sqrt{5} {\left(11 \, x + 13\right)} \sqrt{x + 1} + 8 \, {\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 10 \, \sqrt{5} {\left(33 \, x^{2} + 104 \, x + 55\right)}\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + 400 \, \sqrt{5} {\left(23 \, x^{2} - 6 \, x - 20\right)} + 2 \, {\left(400 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + 10 \, {\left(\sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} + \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + {\left(10 \, \sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} - {\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + 50 \, \sqrt{5} {\left(3 \, x^{2} - 16 \, x + 5\right)}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24}\right)} \sqrt{5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24} + 4}}{100 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{20} \, \sqrt{5} \sqrt{5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} + 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24} + 4} \log\left(-\frac{10 \, {\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 40 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 10 \, x + 80\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} + 10 \, {\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + 8 \, {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 220 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 820 \, x + 440\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - 20 \, {\left({\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 40 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 10 \, x + 80\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - 10 \, {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 90 \, x - 20\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24} - 100 \, {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + 2 \, {\left(11 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 41 \, x - 22\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 320 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 80 \, x - 760\right)} \sqrt{x + \sqrt{x + 1}} + {\left(10 \, {\left(\sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} + \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + {\left(10 \, \sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} - {\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} + 1200 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + 10 \, {\left(8 \, \sqrt{5} {\left(11 \, x + 13\right)} \sqrt{x + 1} + \sqrt{5} {\left(33 \, x^{2} + 104 \, x + 55\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - {\left({\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - 80 \, \sqrt{5} {\left(11 \, x + 13\right)} \sqrt{x + 1} + 8 \, {\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 10 \, \sqrt{5} {\left(33 \, x^{2} + 104 \, x + 55\right)}\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + 400 \, \sqrt{5} {\left(23 \, x^{2} - 6 \, x - 20\right)} - 2 \, {\left(400 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + 10 \, {\left(\sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} + \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + {\left(10 \, \sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} - {\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + 50 \, \sqrt{5} {\left(3 \, x^{2} - 16 \, x + 5\right)}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24}\right)} \sqrt{5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} + 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24} + 4}}{100 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{20} \, \sqrt{5} \sqrt{5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} + 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24} + 4} \log\left(-\frac{10 \, {\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 40 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 10 \, x + 80\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} + 10 \, {\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + 8 \, {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 220 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 820 \, x + 440\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - 20 \, {\left({\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 40 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 10 \, x + 80\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - 10 \, {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 90 \, x - 20\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24} - 100 \, {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + 2 \, {\left(11 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 41 \, x - 22\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 320 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 80 \, x - 760\right)} \sqrt{x + \sqrt{x + 1}} - {\left(10 \, {\left(\sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} + \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + {\left(10 \, \sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} - {\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} + 1200 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + 10 \, {\left(8 \, \sqrt{5} {\left(11 \, x + 13\right)} \sqrt{x + 1} + \sqrt{5} {\left(33 \, x^{2} + 104 \, x + 55\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - {\left({\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - 80 \, \sqrt{5} {\left(11 \, x + 13\right)} \sqrt{x + 1} + 8 \, {\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 10 \, \sqrt{5} {\left(33 \, x^{2} + 104 \, x + 55\right)}\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + 400 \, \sqrt{5} {\left(23 \, x^{2} - 6 \, x - 20\right)} - 2 \, {\left(400 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + 10 \, {\left(\sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} + \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + {\left(10 \, \sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} - {\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + 50 \, \sqrt{5} {\left(3 \, x^{2} - 16 \, x + 5\right)}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24}\right)} \sqrt{5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} + 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24} + 4}}{100 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} + \frac{2}{5} i + \frac{1}{5}} \log\left(\frac{{\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 40 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 10 \, x + 80\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} + {\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + 8 \, {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 220 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 820 \, x + 440\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + {\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{3} + 8 \, {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - 1200 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 3200 \, x - 4600\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(11 \, x^{2} + 6 \, \sqrt{x + 1} {\left(x - 2\right)} + 23 \, x - 5\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{3} + 8 \, {\left(11 \, x^{2} + 6 \, \sqrt{x + 1} {\left(x - 2\right)} + 23 \, x - 5\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - {\left(60 \, x^{2} - {\left(11 \, x^{2} + 6 \, \sqrt{x + 1} {\left(x - 2\right)} + 23 \, x - 5\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, {\left(16 \, x + 3\right)} \sqrt{x + 1} + 30 \, x + 100\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} + 5200 \, x^{2} + {\left({\left(11 \, x^{2} + 6 \, \sqrt{x + 1} {\left(x - 2\right)} + 23 \, x - 5\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - 330 \, x^{2} + 8 \, {\left(11 \, x^{2} + 6 \, \sqrt{x + 1} {\left(x - 2\right)} + 23 \, x - 5\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 80 \, {\left(11 \, x + 13\right)} \sqrt{x + 1} - 1040 \, x - 550\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + 2200 \, \sqrt{x + 1} {\left(x - 2\right)} - 4400 \, x - 3000\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} + \frac{2}{5} i + \frac{1}{5}}}{50 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} + \frac{2}{5} i + \frac{1}{5}} \log\left(\frac{{\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 40 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 10 \, x + 80\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} + {\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + 8 \, {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 220 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 820 \, x + 440\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + {\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{3} + 8 \, {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - 1200 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 3200 \, x - 4600\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(11 \, x^{2} + 6 \, \sqrt{x + 1} {\left(x - 2\right)} + 23 \, x - 5\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{3} + 8 \, {\left(11 \, x^{2} + 6 \, \sqrt{x + 1} {\left(x - 2\right)} + 23 \, x - 5\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - {\left(60 \, x^{2} - {\left(11 \, x^{2} + 6 \, \sqrt{x + 1} {\left(x - 2\right)} + 23 \, x - 5\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, {\left(16 \, x + 3\right)} \sqrt{x + 1} + 30 \, x + 100\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} + 5200 \, x^{2} + {\left({\left(11 \, x^{2} + 6 \, \sqrt{x + 1} {\left(x - 2\right)} + 23 \, x - 5\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - 330 \, x^{2} + 8 \, {\left(11 \, x^{2} + 6 \, \sqrt{x + 1} {\left(x - 2\right)} + 23 \, x - 5\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 80 \, {\left(11 \, x + 13\right)} \sqrt{x + 1} - 1040 \, x - 550\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + 2200 \, \sqrt{x + 1} {\left(x - 2\right)} - 4400 \, x - 3000\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} + \frac{2}{5} i + \frac{1}{5}}}{50 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - \frac{2}{5} i + \frac{1}{5}} \log\left(-\frac{{\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{3} + 2 \, {\left(4 \, {\left(13 \, x - 11\right)} \sqrt{x + 1} + 11 \, x - 52\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + 20 \, {\left(11 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 41 \, x - 22\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 1200 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 3200 \, x + 4600\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(11 \, x^{2} + 6 \, \sqrt{x + 1} {\left(x - 2\right)} + 23 \, x - 5\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{3} + 2 \, {\left(74 \, x^{2} + {\left(104 \, x - 33\right)} \sqrt{x + 1} + 107 \, x + 30\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - 5200 \, x^{2} + 10 \, {\left(33 \, x^{2} + 8 \, {\left(11 \, x + 13\right)} \sqrt{x + 1} + 104 \, x + 55\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 2200 \, \sqrt{x + 1} {\left(x - 2\right)} + 4400 \, x + 3000\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - \frac{2}{5} i + \frac{1}{5}}}{50 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - \frac{2}{5} i + \frac{1}{5}} \log\left(-\frac{{\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{3} + 2 \, {\left(4 \, {\left(13 \, x - 11\right)} \sqrt{x + 1} + 11 \, x - 52\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + 20 \, {\left(11 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 41 \, x - 22\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 1200 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 3200 \, x + 4600\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(11 \, x^{2} + 6 \, \sqrt{x + 1} {\left(x - 2\right)} + 23 \, x - 5\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{3} + 2 \, {\left(74 \, x^{2} + {\left(104 \, x - 33\right)} \sqrt{x + 1} + 107 \, x + 30\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - 5200 \, x^{2} + 10 \, {\left(33 \, x^{2} + 8 \, {\left(11 \, x + 13\right)} \sqrt{x + 1} + 104 \, x + 55\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 2200 \, \sqrt{x + 1} {\left(x - 2\right)} + 4400 \, x + 3000\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - \frac{2}{5} i + \frac{1}{5}}}{50 \, {\left(x^{2} + 1\right)}}\right) + 2 \, \sqrt{x + \sqrt{x + 1}} + \frac{1}{2} \, \log\left(4 \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} + 1\right)} - 8 \, x - 8 \, \sqrt{x + 1} - 5\right)"," ",0,"1/20*sqrt(5)*sqrt(5*sqrt(4/25*I + 28/25) + 5*sqrt(-4/25*I + 28/25) - 2*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24) + 4)*log(-1/100*(10*(((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 40*(2*x + 1)*sqrt(x + 1) + 10*x + 80)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 + 10*(((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + 8*((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 220*(2*x + 1)*sqrt(x + 1) - 820*x + 440)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + 20*((((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 40*(2*x + 1)*sqrt(x + 1) + 10*x + 80)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 10*((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*(2*x + 1)*sqrt(x + 1) - 90*x - 20)*sqrt(x + sqrt(x + 1)))*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24) - 100*((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + 2*(11*(2*x + 1)*sqrt(x + 1) + 41*x - 22)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 320*(2*x + 1)*sqrt(x + 1) + 80*x - 760)*sqrt(x + sqrt(x + 1)) + (10*(sqrt(5)*(16*x + 3)*sqrt(x + 1) + sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + (10*sqrt(5)*(16*x + 3)*sqrt(x + 1) - (6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 + 1200*sqrt(5)*sqrt(x + 1)*(x - 2) + 10*(8*sqrt(5)*(11*x + 13)*sqrt(x + 1) + sqrt(5)*(33*x^2 + 104*x + 55))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - ((6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 80*sqrt(5)*(11*x + 13)*sqrt(x + 1) + 8*(6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 10*sqrt(5)*(33*x^2 + 104*x + 55))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + 400*sqrt(5)*(23*x^2 - 6*x - 20) + 2*(400*sqrt(5)*sqrt(x + 1)*(x - 2) + 10*(sqrt(5)*(16*x + 3)*sqrt(x + 1) + sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + (10*sqrt(5)*(16*x + 3)*sqrt(x + 1) - (6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + 50*sqrt(5)*(3*x^2 - 16*x + 5))*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24))*sqrt(5*sqrt(4/25*I + 28/25) + 5*sqrt(-4/25*I + 28/25) - 2*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24) + 4))/(x^2 + 1)) - 1/20*sqrt(5)*sqrt(5*sqrt(4/25*I + 28/25) + 5*sqrt(-4/25*I + 28/25) - 2*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24) + 4)*log(-1/100*(10*(((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 40*(2*x + 1)*sqrt(x + 1) + 10*x + 80)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 + 10*(((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + 8*((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 220*(2*x + 1)*sqrt(x + 1) - 820*x + 440)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + 20*((((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 40*(2*x + 1)*sqrt(x + 1) + 10*x + 80)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 10*((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*(2*x + 1)*sqrt(x + 1) - 90*x - 20)*sqrt(x + sqrt(x + 1)))*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24) - 100*((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + 2*(11*(2*x + 1)*sqrt(x + 1) + 41*x - 22)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 320*(2*x + 1)*sqrt(x + 1) + 80*x - 760)*sqrt(x + sqrt(x + 1)) - (10*(sqrt(5)*(16*x + 3)*sqrt(x + 1) + sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + (10*sqrt(5)*(16*x + 3)*sqrt(x + 1) - (6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 + 1200*sqrt(5)*sqrt(x + 1)*(x - 2) + 10*(8*sqrt(5)*(11*x + 13)*sqrt(x + 1) + sqrt(5)*(33*x^2 + 104*x + 55))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - ((6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 80*sqrt(5)*(11*x + 13)*sqrt(x + 1) + 8*(6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 10*sqrt(5)*(33*x^2 + 104*x + 55))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + 400*sqrt(5)*(23*x^2 - 6*x - 20) + 2*(400*sqrt(5)*sqrt(x + 1)*(x - 2) + 10*(sqrt(5)*(16*x + 3)*sqrt(x + 1) + sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + (10*sqrt(5)*(16*x + 3)*sqrt(x + 1) - (6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + 50*sqrt(5)*(3*x^2 - 16*x + 5))*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24))*sqrt(5*sqrt(4/25*I + 28/25) + 5*sqrt(-4/25*I + 28/25) - 2*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24) + 4))/(x^2 + 1)) + 1/20*sqrt(5)*sqrt(5*sqrt(4/25*I + 28/25) + 5*sqrt(-4/25*I + 28/25) + 2*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24) + 4)*log(-1/100*(10*(((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 40*(2*x + 1)*sqrt(x + 1) + 10*x + 80)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 + 10*(((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + 8*((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 220*(2*x + 1)*sqrt(x + 1) - 820*x + 440)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 20*((((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 40*(2*x + 1)*sqrt(x + 1) + 10*x + 80)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 10*((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*(2*x + 1)*sqrt(x + 1) - 90*x - 20)*sqrt(x + sqrt(x + 1)))*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24) - 100*((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + 2*(11*(2*x + 1)*sqrt(x + 1) + 41*x - 22)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 320*(2*x + 1)*sqrt(x + 1) + 80*x - 760)*sqrt(x + sqrt(x + 1)) + (10*(sqrt(5)*(16*x + 3)*sqrt(x + 1) + sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + (10*sqrt(5)*(16*x + 3)*sqrt(x + 1) - (6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 + 1200*sqrt(5)*sqrt(x + 1)*(x - 2) + 10*(8*sqrt(5)*(11*x + 13)*sqrt(x + 1) + sqrt(5)*(33*x^2 + 104*x + 55))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - ((6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 80*sqrt(5)*(11*x + 13)*sqrt(x + 1) + 8*(6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 10*sqrt(5)*(33*x^2 + 104*x + 55))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + 400*sqrt(5)*(23*x^2 - 6*x - 20) - 2*(400*sqrt(5)*sqrt(x + 1)*(x - 2) + 10*(sqrt(5)*(16*x + 3)*sqrt(x + 1) + sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + (10*sqrt(5)*(16*x + 3)*sqrt(x + 1) - (6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + 50*sqrt(5)*(3*x^2 - 16*x + 5))*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24))*sqrt(5*sqrt(4/25*I + 28/25) + 5*sqrt(-4/25*I + 28/25) + 2*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24) + 4))/(x^2 + 1)) - 1/20*sqrt(5)*sqrt(5*sqrt(4/25*I + 28/25) + 5*sqrt(-4/25*I + 28/25) + 2*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24) + 4)*log(-1/100*(10*(((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 40*(2*x + 1)*sqrt(x + 1) + 10*x + 80)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 + 10*(((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + 8*((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 220*(2*x + 1)*sqrt(x + 1) - 820*x + 440)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 20*((((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 40*(2*x + 1)*sqrt(x + 1) + 10*x + 80)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 10*((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*(2*x + 1)*sqrt(x + 1) - 90*x - 20)*sqrt(x + sqrt(x + 1)))*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24) - 100*((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + 2*(11*(2*x + 1)*sqrt(x + 1) + 41*x - 22)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 320*(2*x + 1)*sqrt(x + 1) + 80*x - 760)*sqrt(x + sqrt(x + 1)) - (10*(sqrt(5)*(16*x + 3)*sqrt(x + 1) + sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + (10*sqrt(5)*(16*x + 3)*sqrt(x + 1) - (6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 + 1200*sqrt(5)*sqrt(x + 1)*(x - 2) + 10*(8*sqrt(5)*(11*x + 13)*sqrt(x + 1) + sqrt(5)*(33*x^2 + 104*x + 55))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - ((6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 80*sqrt(5)*(11*x + 13)*sqrt(x + 1) + 8*(6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 10*sqrt(5)*(33*x^2 + 104*x + 55))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + 400*sqrt(5)*(23*x^2 - 6*x - 20) - 2*(400*sqrt(5)*sqrt(x + 1)*(x - 2) + 10*(sqrt(5)*(16*x + 3)*sqrt(x + 1) + sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + (10*sqrt(5)*(16*x + 3)*sqrt(x + 1) - (6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + 50*sqrt(5)*(3*x^2 - 16*x + 5))*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24))*sqrt(5*sqrt(4/25*I + 28/25) + 5*sqrt(-4/25*I + 28/25) + 2*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24) + 4))/(x^2 + 1)) - 1/2*sqrt(-1/2*sqrt(-4/25*I + 28/25) + 2/5*I + 1/5)*log(1/50*((((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 40*(2*x + 1)*sqrt(x + 1) + 10*x + 80)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 + (((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + 8*((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 220*(2*x + 1)*sqrt(x + 1) - 820*x + 440)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + (((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^3 + 8*((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1200*(2*x + 1)*sqrt(x + 1) - 3200*x - 4600)*sqrt(x + sqrt(x + 1)) + ((11*x^2 + 6*sqrt(x + 1)*(x - 2) + 23*x - 5)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^3 + 8*(11*x^2 + 6*sqrt(x + 1)*(x - 2) + 23*x - 5)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - (60*x^2 - (11*x^2 + 6*sqrt(x + 1)*(x - 2) + 23*x - 5)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*(16*x + 3)*sqrt(x + 1) + 30*x + 100)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 + 5200*x^2 + ((11*x^2 + 6*sqrt(x + 1)*(x - 2) + 23*x - 5)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 330*x^2 + 8*(11*x^2 + 6*sqrt(x + 1)*(x - 2) + 23*x - 5)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 80*(11*x + 13)*sqrt(x + 1) - 1040*x - 550)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + 2200*sqrt(x + 1)*(x - 2) - 4400*x - 3000)*sqrt(-1/2*sqrt(-4/25*I + 28/25) + 2/5*I + 1/5))/(x^2 + 1)) + 1/2*sqrt(-1/2*sqrt(-4/25*I + 28/25) + 2/5*I + 1/5)*log(1/50*((((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 40*(2*x + 1)*sqrt(x + 1) + 10*x + 80)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 + (((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + 8*((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 220*(2*x + 1)*sqrt(x + 1) - 820*x + 440)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + (((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^3 + 8*((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1200*(2*x + 1)*sqrt(x + 1) - 3200*x - 4600)*sqrt(x + sqrt(x + 1)) - ((11*x^2 + 6*sqrt(x + 1)*(x - 2) + 23*x - 5)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^3 + 8*(11*x^2 + 6*sqrt(x + 1)*(x - 2) + 23*x - 5)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - (60*x^2 - (11*x^2 + 6*sqrt(x + 1)*(x - 2) + 23*x - 5)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*(16*x + 3)*sqrt(x + 1) + 30*x + 100)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 + 5200*x^2 + ((11*x^2 + 6*sqrt(x + 1)*(x - 2) + 23*x - 5)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 330*x^2 + 8*(11*x^2 + 6*sqrt(x + 1)*(x - 2) + 23*x - 5)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 80*(11*x + 13)*sqrt(x + 1) - 1040*x - 550)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + 2200*sqrt(x + 1)*(x - 2) - 4400*x - 3000)*sqrt(-1/2*sqrt(-4/25*I + 28/25) + 2/5*I + 1/5))/(x^2 + 1)) - 1/2*sqrt(-1/2*sqrt(4/25*I + 28/25) - 2/5*I + 1/5)*log(-1/50*((((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^3 + 2*(4*(13*x - 11)*sqrt(x + 1) + 11*x - 52)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + 20*(11*(2*x + 1)*sqrt(x + 1) + 41*x - 22)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 1200*(2*x + 1)*sqrt(x + 1) + 3200*x + 4600)*sqrt(x + sqrt(x + 1)) + ((11*x^2 + 6*sqrt(x + 1)*(x - 2) + 23*x - 5)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^3 + 2*(74*x^2 + (104*x - 33)*sqrt(x + 1) + 107*x + 30)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 5200*x^2 + 10*(33*x^2 + 8*(11*x + 13)*sqrt(x + 1) + 104*x + 55)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 2200*sqrt(x + 1)*(x - 2) + 4400*x + 3000)*sqrt(-1/2*sqrt(4/25*I + 28/25) - 2/5*I + 1/5))/(x^2 + 1)) + 1/2*sqrt(-1/2*sqrt(4/25*I + 28/25) - 2/5*I + 1/5)*log(-1/50*((((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^3 + 2*(4*(13*x - 11)*sqrt(x + 1) + 11*x - 52)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + 20*(11*(2*x + 1)*sqrt(x + 1) + 41*x - 22)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 1200*(2*x + 1)*sqrt(x + 1) + 3200*x + 4600)*sqrt(x + sqrt(x + 1)) - ((11*x^2 + 6*sqrt(x + 1)*(x - 2) + 23*x - 5)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^3 + 2*(74*x^2 + (104*x - 33)*sqrt(x + 1) + 107*x + 30)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 5200*x^2 + 10*(33*x^2 + 8*(11*x + 13)*sqrt(x + 1) + 104*x + 55)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 2200*sqrt(x + 1)*(x - 2) + 4400*x + 3000)*sqrt(-1/2*sqrt(4/25*I + 28/25) - 2/5*I + 1/5))/(x^2 + 1)) + 2*sqrt(x + sqrt(x + 1)) + 1/2*log(4*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) + 1) - 8*x - 8*sqrt(x + 1) - 5)","B",0
2713,1,5633,0,10.466104," ","integrate((x^2-1)/(x^2+1)/(x+(1+x)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{1}{20} \, \sqrt{5} \sqrt{5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24} + 4} \log\left(-\frac{10 \, {\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 40 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 10 \, x + 80\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} + 10 \, {\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + 8 \, {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 220 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 820 \, x + 440\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + 20 \, {\left({\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 40 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 10 \, x + 80\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - 10 \, {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 90 \, x - 20\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24} - 100 \, {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + 2 \, {\left(11 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 41 \, x - 22\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 320 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 80 \, x - 760\right)} \sqrt{x + \sqrt{x + 1}} + {\left(10 \, {\left(\sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} + \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + {\left(10 \, \sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} - {\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} + 1200 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + 10 \, {\left(8 \, \sqrt{5} {\left(11 \, x + 13\right)} \sqrt{x + 1} + \sqrt{5} {\left(33 \, x^{2} + 104 \, x + 55\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - {\left({\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - 80 \, \sqrt{5} {\left(11 \, x + 13\right)} \sqrt{x + 1} + 8 \, {\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 10 \, \sqrt{5} {\left(33 \, x^{2} + 104 \, x + 55\right)}\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + 400 \, \sqrt{5} {\left(23 \, x^{2} - 6 \, x - 20\right)} + 2 \, {\left(400 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + 10 \, {\left(\sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} + \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + {\left(10 \, \sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} - {\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + 50 \, \sqrt{5} {\left(3 \, x^{2} - 16 \, x + 5\right)}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24}\right)} \sqrt{5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24} + 4}}{100 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{20} \, \sqrt{5} \sqrt{5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24} + 4} \log\left(-\frac{10 \, {\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 40 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 10 \, x + 80\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} + 10 \, {\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + 8 \, {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 220 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 820 \, x + 440\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + 20 \, {\left({\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 40 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 10 \, x + 80\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - 10 \, {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 90 \, x - 20\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24} - 100 \, {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + 2 \, {\left(11 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 41 \, x - 22\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 320 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 80 \, x - 760\right)} \sqrt{x + \sqrt{x + 1}} - {\left(10 \, {\left(\sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} + \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + {\left(10 \, \sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} - {\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} + 1200 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + 10 \, {\left(8 \, \sqrt{5} {\left(11 \, x + 13\right)} \sqrt{x + 1} + \sqrt{5} {\left(33 \, x^{2} + 104 \, x + 55\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - {\left({\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - 80 \, \sqrt{5} {\left(11 \, x + 13\right)} \sqrt{x + 1} + 8 \, {\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 10 \, \sqrt{5} {\left(33 \, x^{2} + 104 \, x + 55\right)}\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + 400 \, \sqrt{5} {\left(23 \, x^{2} - 6 \, x - 20\right)} + 2 \, {\left(400 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + 10 \, {\left(\sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} + \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + {\left(10 \, \sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} - {\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + 50 \, \sqrt{5} {\left(3 \, x^{2} - 16 \, x + 5\right)}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24}\right)} \sqrt{5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24} + 4}}{100 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{20} \, \sqrt{5} \sqrt{5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} + 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24} + 4} \log\left(-\frac{10 \, {\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 40 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 10 \, x + 80\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} + 10 \, {\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + 8 \, {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 220 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 820 \, x + 440\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - 20 \, {\left({\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 40 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 10 \, x + 80\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - 10 \, {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 90 \, x - 20\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24} - 100 \, {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + 2 \, {\left(11 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 41 \, x - 22\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 320 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 80 \, x - 760\right)} \sqrt{x + \sqrt{x + 1}} + {\left(10 \, {\left(\sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} + \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + {\left(10 \, \sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} - {\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} + 1200 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + 10 \, {\left(8 \, \sqrt{5} {\left(11 \, x + 13\right)} \sqrt{x + 1} + \sqrt{5} {\left(33 \, x^{2} + 104 \, x + 55\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - {\left({\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - 80 \, \sqrt{5} {\left(11 \, x + 13\right)} \sqrt{x + 1} + 8 \, {\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 10 \, \sqrt{5} {\left(33 \, x^{2} + 104 \, x + 55\right)}\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + 400 \, \sqrt{5} {\left(23 \, x^{2} - 6 \, x - 20\right)} - 2 \, {\left(400 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + 10 \, {\left(\sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} + \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + {\left(10 \, \sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} - {\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + 50 \, \sqrt{5} {\left(3 \, x^{2} - 16 \, x + 5\right)}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24}\right)} \sqrt{5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} + 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24} + 4}}{100 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{20} \, \sqrt{5} \sqrt{5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} + 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24} + 4} \log\left(-\frac{10 \, {\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 40 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 10 \, x + 80\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} + 10 \, {\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + 8 \, {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 220 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 820 \, x + 440\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - 20 \, {\left({\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 40 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 10 \, x + 80\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - 10 \, {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 90 \, x - 20\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24} - 100 \, {\left({\left(4 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - x - 8\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + 2 \, {\left(11 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 41 \, x - 22\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 320 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 80 \, x - 760\right)} \sqrt{x + \sqrt{x + 1}} - {\left(10 \, {\left(\sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} + \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + {\left(10 \, \sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} - {\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} + 1200 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + 10 \, {\left(8 \, \sqrt{5} {\left(11 \, x + 13\right)} \sqrt{x + 1} + \sqrt{5} {\left(33 \, x^{2} + 104 \, x + 55\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - {\left({\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - 80 \, \sqrt{5} {\left(11 \, x + 13\right)} \sqrt{x + 1} + 8 \, {\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 10 \, \sqrt{5} {\left(33 \, x^{2} + 104 \, x + 55\right)}\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + 400 \, \sqrt{5} {\left(23 \, x^{2} - 6 \, x - 20\right)} - 2 \, {\left(400 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + 10 \, {\left(\sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} + \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + {\left(10 \, \sqrt{5} {\left(16 \, x + 3\right)} \sqrt{x + 1} - {\left(6 \, \sqrt{5} \sqrt{x + 1} {\left(x - 2\right)} + \sqrt{5} {\left(11 \, x^{2} + 23 \, x - 5\right)}\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, \sqrt{5} {\left(6 \, x^{2} + 3 \, x + 10\right)}\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + 50 \, \sqrt{5} {\left(3 \, x^{2} - 16 \, x + 5\right)}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24}\right)} \sqrt{5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} + 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i + 6\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} - 20 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - 16 i + 24} + 4}}{100 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} + \frac{2}{5} i + \frac{1}{5}} \log\left(\frac{{\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 40 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 10 \, x + 80\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} + {\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + 8 \, {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 220 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 820 \, x + 440\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + {\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{3} + 8 \, {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - 1200 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 3200 \, x - 4600\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(11 \, x^{2} + 6 \, \sqrt{x + 1} {\left(x - 2\right)} + 23 \, x - 5\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{3} + 8 \, {\left(11 \, x^{2} + 6 \, \sqrt{x + 1} {\left(x - 2\right)} + 23 \, x - 5\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - {\left(60 \, x^{2} - {\left(11 \, x^{2} + 6 \, \sqrt{x + 1} {\left(x - 2\right)} + 23 \, x - 5\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, {\left(16 \, x + 3\right)} \sqrt{x + 1} + 30 \, x + 100\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} + 5200 \, x^{2} + {\left({\left(11 \, x^{2} + 6 \, \sqrt{x + 1} {\left(x - 2\right)} + 23 \, x - 5\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - 330 \, x^{2} + 8 \, {\left(11 \, x^{2} + 6 \, \sqrt{x + 1} {\left(x - 2\right)} + 23 \, x - 5\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 80 \, {\left(11 \, x + 13\right)} \sqrt{x + 1} - 1040 \, x - 550\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + 2200 \, \sqrt{x + 1} {\left(x - 2\right)} - 4400 \, x - 3000\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} + \frac{2}{5} i + \frac{1}{5}}}{50 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} + \frac{2}{5} i + \frac{1}{5}} \log\left(\frac{{\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 40 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 10 \, x + 80\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} + {\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + 8 \, {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 220 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 820 \, x + 440\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + {\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{3} + 8 \, {\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - 1200 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} - 3200 \, x - 4600\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(11 \, x^{2} + 6 \, \sqrt{x + 1} {\left(x - 2\right)} + 23 \, x - 5\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{3} + 8 \, {\left(11 \, x^{2} + 6 \, \sqrt{x + 1} {\left(x - 2\right)} + 23 \, x - 5\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - {\left(60 \, x^{2} - {\left(11 \, x^{2} + 6 \, \sqrt{x + 1} {\left(x - 2\right)} + 23 \, x - 5\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 10 \, {\left(16 \, x + 3\right)} \sqrt{x + 1} + 30 \, x + 100\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)}^{2} + 5200 \, x^{2} + {\left({\left(11 \, x^{2} + 6 \, \sqrt{x + 1} {\left(x - 2\right)} + 23 \, x - 5\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - 330 \, x^{2} + 8 \, {\left(11 \, x^{2} + 6 \, \sqrt{x + 1} {\left(x - 2\right)} + 23 \, x - 5\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 80 \, {\left(11 \, x + 13\right)} \sqrt{x + 1} - 1040 \, x - 550\right)} {\left(5 \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} - 4 i - 2\right)} + 2200 \, \sqrt{x + 1} {\left(x - 2\right)} - 4400 \, x - 3000\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{4}{25} i + \frac{28}{25}} + \frac{2}{5} i + \frac{1}{5}}}{50 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - \frac{2}{5} i + \frac{1}{5}} \log\left(-\frac{{\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{3} + 2 \, {\left(4 \, {\left(13 \, x - 11\right)} \sqrt{x + 1} + 11 \, x - 52\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + 20 \, {\left(11 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 41 \, x - 22\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 1200 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 3200 \, x + 4600\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(11 \, x^{2} + 6 \, \sqrt{x + 1} {\left(x - 2\right)} + 23 \, x - 5\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{3} + 2 \, {\left(74 \, x^{2} + {\left(104 \, x - 33\right)} \sqrt{x + 1} + 107 \, x + 30\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - 5200 \, x^{2} + 10 \, {\left(33 \, x^{2} + 8 \, {\left(11 \, x + 13\right)} \sqrt{x + 1} + 104 \, x + 55\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 2200 \, \sqrt{x + 1} {\left(x - 2\right)} + 4400 \, x + 3000\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - \frac{2}{5} i + \frac{1}{5}}}{50 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - \frac{2}{5} i + \frac{1}{5}} \log\left(-\frac{{\left({\left({\left(3 \, x - 16\right)} \sqrt{x + 1} + 4 \, x - 3\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{3} + 2 \, {\left(4 \, {\left(13 \, x - 11\right)} \sqrt{x + 1} + 11 \, x - 52\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} + 20 \, {\left(11 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 41 \, x - 22\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} + 1200 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} + 3200 \, x + 4600\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(11 \, x^{2} + 6 \, \sqrt{x + 1} {\left(x - 2\right)} + 23 \, x - 5\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{3} + 2 \, {\left(74 \, x^{2} + {\left(104 \, x - 33\right)} \sqrt{x + 1} + 107 \, x + 30\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)}^{2} - 5200 \, x^{2} + 10 \, {\left(33 \, x^{2} + 8 \, {\left(11 \, x + 13\right)} \sqrt{x + 1} + 104 \, x + 55\right)} {\left(5 \, \sqrt{\frac{4}{25} i + \frac{28}{25}} + 4 i - 2\right)} - 2200 \, \sqrt{x + 1} {\left(x - 2\right)} + 4400 \, x + 3000\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{4}{25} i + \frac{28}{25}} - \frac{2}{5} i + \frac{1}{5}}}{50 \, {\left(x^{2} + 1\right)}}\right) + 2 \, \sqrt{x + \sqrt{x + 1}} + \frac{1}{2} \, \log\left(4 \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} + 1\right)} - 8 \, x - 8 \, \sqrt{x + 1} - 5\right)"," ",0,"1/20*sqrt(5)*sqrt(5*sqrt(4/25*I + 28/25) + 5*sqrt(-4/25*I + 28/25) - 2*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24) + 4)*log(-1/100*(10*(((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 40*(2*x + 1)*sqrt(x + 1) + 10*x + 80)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 + 10*(((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + 8*((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 220*(2*x + 1)*sqrt(x + 1) - 820*x + 440)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + 20*((((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 40*(2*x + 1)*sqrt(x + 1) + 10*x + 80)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 10*((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*(2*x + 1)*sqrt(x + 1) - 90*x - 20)*sqrt(x + sqrt(x + 1)))*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24) - 100*((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + 2*(11*(2*x + 1)*sqrt(x + 1) + 41*x - 22)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 320*(2*x + 1)*sqrt(x + 1) + 80*x - 760)*sqrt(x + sqrt(x + 1)) + (10*(sqrt(5)*(16*x + 3)*sqrt(x + 1) + sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + (10*sqrt(5)*(16*x + 3)*sqrt(x + 1) - (6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 + 1200*sqrt(5)*sqrt(x + 1)*(x - 2) + 10*(8*sqrt(5)*(11*x + 13)*sqrt(x + 1) + sqrt(5)*(33*x^2 + 104*x + 55))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - ((6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 80*sqrt(5)*(11*x + 13)*sqrt(x + 1) + 8*(6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 10*sqrt(5)*(33*x^2 + 104*x + 55))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + 400*sqrt(5)*(23*x^2 - 6*x - 20) + 2*(400*sqrt(5)*sqrt(x + 1)*(x - 2) + 10*(sqrt(5)*(16*x + 3)*sqrt(x + 1) + sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + (10*sqrt(5)*(16*x + 3)*sqrt(x + 1) - (6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + 50*sqrt(5)*(3*x^2 - 16*x + 5))*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24))*sqrt(5*sqrt(4/25*I + 28/25) + 5*sqrt(-4/25*I + 28/25) - 2*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24) + 4))/(x^2 + 1)) - 1/20*sqrt(5)*sqrt(5*sqrt(4/25*I + 28/25) + 5*sqrt(-4/25*I + 28/25) - 2*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24) + 4)*log(-1/100*(10*(((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 40*(2*x + 1)*sqrt(x + 1) + 10*x + 80)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 + 10*(((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + 8*((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 220*(2*x + 1)*sqrt(x + 1) - 820*x + 440)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + 20*((((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 40*(2*x + 1)*sqrt(x + 1) + 10*x + 80)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 10*((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*(2*x + 1)*sqrt(x + 1) - 90*x - 20)*sqrt(x + sqrt(x + 1)))*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24) - 100*((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + 2*(11*(2*x + 1)*sqrt(x + 1) + 41*x - 22)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 320*(2*x + 1)*sqrt(x + 1) + 80*x - 760)*sqrt(x + sqrt(x + 1)) - (10*(sqrt(5)*(16*x + 3)*sqrt(x + 1) + sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + (10*sqrt(5)*(16*x + 3)*sqrt(x + 1) - (6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 + 1200*sqrt(5)*sqrt(x + 1)*(x - 2) + 10*(8*sqrt(5)*(11*x + 13)*sqrt(x + 1) + sqrt(5)*(33*x^2 + 104*x + 55))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - ((6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 80*sqrt(5)*(11*x + 13)*sqrt(x + 1) + 8*(6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 10*sqrt(5)*(33*x^2 + 104*x + 55))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + 400*sqrt(5)*(23*x^2 - 6*x - 20) + 2*(400*sqrt(5)*sqrt(x + 1)*(x - 2) + 10*(sqrt(5)*(16*x + 3)*sqrt(x + 1) + sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + (10*sqrt(5)*(16*x + 3)*sqrt(x + 1) - (6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + 50*sqrt(5)*(3*x^2 - 16*x + 5))*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24))*sqrt(5*sqrt(4/25*I + 28/25) + 5*sqrt(-4/25*I + 28/25) - 2*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24) + 4))/(x^2 + 1)) + 1/20*sqrt(5)*sqrt(5*sqrt(4/25*I + 28/25) + 5*sqrt(-4/25*I + 28/25) + 2*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24) + 4)*log(-1/100*(10*(((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 40*(2*x + 1)*sqrt(x + 1) + 10*x + 80)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 + 10*(((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + 8*((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 220*(2*x + 1)*sqrt(x + 1) - 820*x + 440)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 20*((((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 40*(2*x + 1)*sqrt(x + 1) + 10*x + 80)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 10*((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*(2*x + 1)*sqrt(x + 1) - 90*x - 20)*sqrt(x + sqrt(x + 1)))*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24) - 100*((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + 2*(11*(2*x + 1)*sqrt(x + 1) + 41*x - 22)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 320*(2*x + 1)*sqrt(x + 1) + 80*x - 760)*sqrt(x + sqrt(x + 1)) + (10*(sqrt(5)*(16*x + 3)*sqrt(x + 1) + sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + (10*sqrt(5)*(16*x + 3)*sqrt(x + 1) - (6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 + 1200*sqrt(5)*sqrt(x + 1)*(x - 2) + 10*(8*sqrt(5)*(11*x + 13)*sqrt(x + 1) + sqrt(5)*(33*x^2 + 104*x + 55))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - ((6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 80*sqrt(5)*(11*x + 13)*sqrt(x + 1) + 8*(6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 10*sqrt(5)*(33*x^2 + 104*x + 55))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + 400*sqrt(5)*(23*x^2 - 6*x - 20) - 2*(400*sqrt(5)*sqrt(x + 1)*(x - 2) + 10*(sqrt(5)*(16*x + 3)*sqrt(x + 1) + sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + (10*sqrt(5)*(16*x + 3)*sqrt(x + 1) - (6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + 50*sqrt(5)*(3*x^2 - 16*x + 5))*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24))*sqrt(5*sqrt(4/25*I + 28/25) + 5*sqrt(-4/25*I + 28/25) + 2*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24) + 4))/(x^2 + 1)) - 1/20*sqrt(5)*sqrt(5*sqrt(4/25*I + 28/25) + 5*sqrt(-4/25*I + 28/25) + 2*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24) + 4)*log(-1/100*(10*(((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 40*(2*x + 1)*sqrt(x + 1) + 10*x + 80)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 + 10*(((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + 8*((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 220*(2*x + 1)*sqrt(x + 1) - 820*x + 440)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 20*((((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 40*(2*x + 1)*sqrt(x + 1) + 10*x + 80)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 10*((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*(2*x + 1)*sqrt(x + 1) - 90*x - 20)*sqrt(x + sqrt(x + 1)))*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24) - 100*((4*(2*x + 1)*sqrt(x + 1) - x - 8)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + 2*(11*(2*x + 1)*sqrt(x + 1) + 41*x - 22)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 320*(2*x + 1)*sqrt(x + 1) + 80*x - 760)*sqrt(x + sqrt(x + 1)) - (10*(sqrt(5)*(16*x + 3)*sqrt(x + 1) + sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + (10*sqrt(5)*(16*x + 3)*sqrt(x + 1) - (6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 + 1200*sqrt(5)*sqrt(x + 1)*(x - 2) + 10*(8*sqrt(5)*(11*x + 13)*sqrt(x + 1) + sqrt(5)*(33*x^2 + 104*x + 55))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - ((6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 80*sqrt(5)*(11*x + 13)*sqrt(x + 1) + 8*(6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 10*sqrt(5)*(33*x^2 + 104*x + 55))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + 400*sqrt(5)*(23*x^2 - 6*x - 20) - 2*(400*sqrt(5)*sqrt(x + 1)*(x - 2) + 10*(sqrt(5)*(16*x + 3)*sqrt(x + 1) + sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + (10*sqrt(5)*(16*x + 3)*sqrt(x + 1) - (6*sqrt(5)*sqrt(x + 1)*(x - 2) + sqrt(5)*(11*x^2 + 23*x - 5))*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*sqrt(5)*(6*x^2 + 3*x + 10))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + 50*sqrt(5)*(3*x^2 - 16*x + 5))*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24))*sqrt(5*sqrt(4/25*I + 28/25) + 5*sqrt(-4/25*I + 28/25) + 2*sqrt(-3/4*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1/2*(5*sqrt(4/25*I + 28/25) + 4*I + 6)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) - 3/4*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 - 20*sqrt(4/25*I + 28/25) - 16*I + 24) + 4))/(x^2 + 1)) - 1/2*sqrt(-1/2*sqrt(-4/25*I + 28/25) + 2/5*I + 1/5)*log(1/50*((((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 40*(2*x + 1)*sqrt(x + 1) + 10*x + 80)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 + (((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + 8*((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 220*(2*x + 1)*sqrt(x + 1) - 820*x + 440)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + (((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^3 + 8*((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1200*(2*x + 1)*sqrt(x + 1) - 3200*x - 4600)*sqrt(x + sqrt(x + 1)) + ((11*x^2 + 6*sqrt(x + 1)*(x - 2) + 23*x - 5)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^3 + 8*(11*x^2 + 6*sqrt(x + 1)*(x - 2) + 23*x - 5)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - (60*x^2 - (11*x^2 + 6*sqrt(x + 1)*(x - 2) + 23*x - 5)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*(16*x + 3)*sqrt(x + 1) + 30*x + 100)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 + 5200*x^2 + ((11*x^2 + 6*sqrt(x + 1)*(x - 2) + 23*x - 5)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 330*x^2 + 8*(11*x^2 + 6*sqrt(x + 1)*(x - 2) + 23*x - 5)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 80*(11*x + 13)*sqrt(x + 1) - 1040*x - 550)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + 2200*sqrt(x + 1)*(x - 2) - 4400*x - 3000)*sqrt(-1/2*sqrt(-4/25*I + 28/25) + 2/5*I + 1/5))/(x^2 + 1)) + 1/2*sqrt(-1/2*sqrt(-4/25*I + 28/25) + 2/5*I + 1/5)*log(1/50*((((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 40*(2*x + 1)*sqrt(x + 1) + 10*x + 80)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 + (((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + 8*((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 220*(2*x + 1)*sqrt(x + 1) - 820*x + 440)*sqrt(x + sqrt(x + 1))*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + (((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^3 + 8*((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 1200*(2*x + 1)*sqrt(x + 1) - 3200*x - 4600)*sqrt(x + sqrt(x + 1)) - ((11*x^2 + 6*sqrt(x + 1)*(x - 2) + 23*x - 5)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^3 + 8*(11*x^2 + 6*sqrt(x + 1)*(x - 2) + 23*x - 5)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - (60*x^2 - (11*x^2 + 6*sqrt(x + 1)*(x - 2) + 23*x - 5)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 10*(16*x + 3)*sqrt(x + 1) + 30*x + 100)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2)^2 + 5200*x^2 + ((11*x^2 + 6*sqrt(x + 1)*(x - 2) + 23*x - 5)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 330*x^2 + 8*(11*x^2 + 6*sqrt(x + 1)*(x - 2) + 23*x - 5)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 80*(11*x + 13)*sqrt(x + 1) - 1040*x - 550)*(5*sqrt(-4/25*I + 28/25) - 4*I - 2) + 2200*sqrt(x + 1)*(x - 2) - 4400*x - 3000)*sqrt(-1/2*sqrt(-4/25*I + 28/25) + 2/5*I + 1/5))/(x^2 + 1)) - 1/2*sqrt(-1/2*sqrt(4/25*I + 28/25) - 2/5*I + 1/5)*log(-1/50*((((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^3 + 2*(4*(13*x - 11)*sqrt(x + 1) + 11*x - 52)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + 20*(11*(2*x + 1)*sqrt(x + 1) + 41*x - 22)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 1200*(2*x + 1)*sqrt(x + 1) + 3200*x + 4600)*sqrt(x + sqrt(x + 1)) + ((11*x^2 + 6*sqrt(x + 1)*(x - 2) + 23*x - 5)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^3 + 2*(74*x^2 + (104*x - 33)*sqrt(x + 1) + 107*x + 30)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 5200*x^2 + 10*(33*x^2 + 8*(11*x + 13)*sqrt(x + 1) + 104*x + 55)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 2200*sqrt(x + 1)*(x - 2) + 4400*x + 3000)*sqrt(-1/2*sqrt(4/25*I + 28/25) - 2/5*I + 1/5))/(x^2 + 1)) + 1/2*sqrt(-1/2*sqrt(4/25*I + 28/25) - 2/5*I + 1/5)*log(-1/50*((((3*x - 16)*sqrt(x + 1) + 4*x - 3)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^3 + 2*(4*(13*x - 11)*sqrt(x + 1) + 11*x - 52)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 + 20*(11*(2*x + 1)*sqrt(x + 1) + 41*x - 22)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) + 1200*(2*x + 1)*sqrt(x + 1) + 3200*x + 4600)*sqrt(x + sqrt(x + 1)) - ((11*x^2 + 6*sqrt(x + 1)*(x - 2) + 23*x - 5)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^3 + 2*(74*x^2 + (104*x - 33)*sqrt(x + 1) + 107*x + 30)*(5*sqrt(4/25*I + 28/25) + 4*I - 2)^2 - 5200*x^2 + 10*(33*x^2 + 8*(11*x + 13)*sqrt(x + 1) + 104*x + 55)*(5*sqrt(4/25*I + 28/25) + 4*I - 2) - 2200*sqrt(x + 1)*(x - 2) + 4400*x + 3000)*sqrt(-1/2*sqrt(4/25*I + 28/25) - 2/5*I + 1/5))/(x^2 + 1)) + 2*sqrt(x + sqrt(x + 1)) + 1/2*log(4*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) + 1) - 8*x - 8*sqrt(x + 1) - 5)","B",0
2714,-1,0,0,0.000000," ","integrate(1/(a^2*x^2-b)^(1/2)/(a*x^2+x*(a^2*x^2-b)^(1/2))^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2715,-2,0,0,0.000000," ","integrate((a*x-b)^(1/2)/(1+(a*x+(a*x-b)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (irrational residues)","F(-2)",0
2716,1,64,0,0.576398," ","integrate(x*(1+2^(1/2)+2^(1/2)*x+x^2)^(1/2),x, algorithm=""fricas"")","\frac{1}{8} \, {\left(\sqrt{2} + 4\right)} \log\left(-2 \, x - \sqrt{2} + 2 \, \sqrt{x^{2} + \sqrt{2} {\left(x + 1\right)} + 1}\right) + \frac{1}{12} \, {\left(4 \, x^{2} + \sqrt{2} {\left(x + 4\right)} + 1\right)} \sqrt{x^{2} + \sqrt{2} {\left(x + 1\right)} + 1}"," ",0,"1/8*(sqrt(2) + 4)*log(-2*x - sqrt(2) + 2*sqrt(x^2 + sqrt(2)*(x + 1) + 1)) + 1/12*(4*x^2 + sqrt(2)*(x + 4) + 1)*sqrt(x^2 + sqrt(2)*(x + 1) + 1)","A",0
2717,1,357,0,0.669075," ","integrate((-a*x+x^2)/(x^2*(-a+x))^(2/3)/(a^2-2*a*x+(1-d)*x^2),x, algorithm=""fricas"")","\left[\frac{\sqrt{3} d \sqrt{-\frac{1}{d^{\frac{2}{3}}}} \log\left(-\frac{{\left(d + 2\right)} x^{2} + 2 \, a^{2} - 4 \, a x - \sqrt{3} {\left(d^{\frac{4}{3}} x^{2} + 2 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} {\left(a - x\right)} d^{\frac{2}{3}} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d\right)} \sqrt{-\frac{1}{d^{\frac{2}{3}}}} - 3 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d^{\frac{2}{3}}}{{\left(d - 1\right)} x^{2} - a^{2} + 2 \, a x}\right) - d^{\frac{2}{3}} \log\left(\frac{d^{\frac{2}{3}} x^{2} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} {\left(a - x\right)} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d^{\frac{1}{3}}}{x^{2}}\right) + 2 \, d^{\frac{2}{3}} \log\left(-\frac{d^{\frac{1}{3}} x^{2} - {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{4 \, a d}, \frac{2 \, \sqrt{3} d^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(d^{\frac{1}{3}} x^{2} + 2 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}}\right)}}{3 \, d^{\frac{1}{3}} x^{2}}\right) - d^{\frac{2}{3}} \log\left(\frac{d^{\frac{2}{3}} x^{2} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} {\left(a - x\right)} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d^{\frac{1}{3}}}{x^{2}}\right) + 2 \, d^{\frac{2}{3}} \log\left(-\frac{d^{\frac{1}{3}} x^{2} - {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{4 \, a d}\right]"," ",0,"[1/4*(sqrt(3)*d*sqrt(-1/d^(2/3))*log(-((d + 2)*x^2 + 2*a^2 - 4*a*x - sqrt(3)*(d^(4/3)*x^2 + 2*(-a*x^2 + x^3)^(1/3)*(a - x)*d^(2/3) + (-a*x^2 + x^3)^(2/3)*d)*sqrt(-1/d^(2/3)) - 3*(-a*x^2 + x^3)^(2/3)*d^(2/3))/((d - 1)*x^2 - a^2 + 2*a*x)) - d^(2/3)*log((d^(2/3)*x^2 - (-a*x^2 + x^3)^(1/3)*(a - x) + (-a*x^2 + x^3)^(2/3)*d^(1/3))/x^2) + 2*d^(2/3)*log(-(d^(1/3)*x^2 - (-a*x^2 + x^3)^(2/3))/x^2))/(a*d), 1/4*(2*sqrt(3)*d^(2/3)*arctan(1/3*sqrt(3)*(d^(1/3)*x^2 + 2*(-a*x^2 + x^3)^(2/3))/(d^(1/3)*x^2)) - d^(2/3)*log((d^(2/3)*x^2 - (-a*x^2 + x^3)^(1/3)*(a - x) + (-a*x^2 + x^3)^(2/3)*d^(1/3))/x^2) + 2*d^(2/3)*log(-(d^(1/3)*x^2 - (-a*x^2 + x^3)^(2/3))/x^2))/(a*d)]","A",0
2718,1,194,0,0.592961," ","integrate(x/(x^2*(-a+x))^(1/3)/(-a^2+2*a*x+(-1+d)*x^2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} d \sqrt{-\left(-d^{2}\right)^{\frac{1}{3}}} \arctan\left(-\frac{\sqrt{3} {\left(\left(-d^{2}\right)^{\frac{1}{3}} d x^{2} - 2 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} \left(-d^{2}\right)^{\frac{2}{3}}\right)} \sqrt{-\left(-d^{2}\right)^{\frac{1}{3}}}}{3 \, d^{2} x^{2}}\right) + \left(-d^{2}\right)^{\frac{2}{3}} \log\left(-\frac{\left(-d^{2}\right)^{\frac{1}{3}} d x^{2} + {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} {\left(a d - d x\right)} - {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} \left(-d^{2}\right)^{\frac{2}{3}}}{x^{2}}\right) - 2 \, \left(-d^{2}\right)^{\frac{2}{3}} \log\left(-\frac{\left(-d^{2}\right)^{\frac{2}{3}} x^{2} - {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d}{x^{2}}\right)}{4 \, a d^{2}}"," ",0,"1/4*(2*sqrt(3)*d*sqrt(-(-d^2)^(1/3))*arctan(-1/3*sqrt(3)*((-d^2)^(1/3)*d*x^2 - 2*(-a*x^2 + x^3)^(2/3)*(-d^2)^(2/3))*sqrt(-(-d^2)^(1/3))/(d^2*x^2)) + (-d^2)^(2/3)*log(-((-d^2)^(1/3)*d*x^2 + (-a*x^2 + x^3)^(1/3)*(a*d - d*x) - (-a*x^2 + x^3)^(2/3)*(-d^2)^(2/3))/x^2) - 2*(-d^2)^(2/3)*log(-((-d^2)^(2/3)*x^2 - (-a*x^2 + x^3)^(2/3)*d)/x^2))/(a*d^2)","A",0
2719,-1,0,0,0.000000," ","integrate((-a*b*x^2+x^4)/(x^2*(-a+x)*(-b+x))^(2/3)/(a^2*b^2-2*a*b*(a+b)*x+(a^2+4*a*b+b^2-d)*x^2-2*(a+b)*x^3+x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2720,-1,0,0,0.000000," ","integrate(((a*x^10+4*a*x^8+x^8+6*a*x^6+4*x^6+4*a*x^4+6*x^4+a*x^2+4*x^2+1)/x^2)^(1/4)/x,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2721,1,169,0,0.550721," ","integrate((8*x^2-8*x+2)^(1/3)/(3+x),x, algorithm=""fricas"")","98^{\frac{1}{3}} \sqrt{3} \arctan\left(\frac{98^{\frac{2}{3}} \sqrt{3} {\left(8 \, x^{2} - 8 \, x + 2\right)}^{\frac{1}{3}} - 7 \, \sqrt{3} {\left(2 \, x - 1\right)}}{21 \, {\left(2 \, x - 1\right)}}\right) - \frac{1}{2} \cdot 98^{\frac{1}{3}} \log\left(\frac{98^{\frac{2}{3}} {\left(4 \, x^{2} - 4 \, x + 1\right)} - 7 \cdot 98^{\frac{1}{3}} {\left(8 \, x^{2} - 8 \, x + 2\right)}^{\frac{1}{3}} {\left(2 \, x - 1\right)} + 49 \, {\left(8 \, x^{2} - 8 \, x + 2\right)}^{\frac{2}{3}}}{4 \, x^{2} - 4 \, x + 1}\right) + 98^{\frac{1}{3}} \log\left(\frac{98^{\frac{1}{3}} {\left(2 \, x - 1\right)} + 7 \, {\left(8 \, x^{2} - 8 \, x + 2\right)}^{\frac{1}{3}}}{2 \, x - 1}\right) + \frac{3}{2} \, {\left(8 \, x^{2} - 8 \, x + 2\right)}^{\frac{1}{3}}"," ",0,"98^(1/3)*sqrt(3)*arctan(1/21*(98^(2/3)*sqrt(3)*(8*x^2 - 8*x + 2)^(1/3) - 7*sqrt(3)*(2*x - 1))/(2*x - 1)) - 1/2*98^(1/3)*log((98^(2/3)*(4*x^2 - 4*x + 1) - 7*98^(1/3)*(8*x^2 - 8*x + 2)^(1/3)*(2*x - 1) + 49*(8*x^2 - 8*x + 2)^(2/3))/(4*x^2 - 4*x + 1)) + 98^(1/3)*log((98^(1/3)*(2*x - 1) + 7*(8*x^2 - 8*x + 2)^(1/3))/(2*x - 1)) + 3/2*(8*x^2 - 8*x + 2)^(1/3)","A",0
2722,-1,0,0,0.000000," ","integrate((a*x+b)*(b*p*x^2-a*q)/(p*x^3+q)^(2/3)/(b^3*c+d*q+3*a*b^2*c*x+3*a^2*b*c*x^2+(a^3*c+d*p)*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2723,-1,0,0,0.000000," ","integrate((-b+x)*(-a*(a-2*b)-2*b*x+x^2)/((-a+x)*(-b+x))^(2/3)/(a^4-b^2*d-2*(2*a^3-b*d)*x+(6*a^2-d)*x^2-4*a*x^3+x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2724,1,103,0,0.796912," ","integrate((x^5+1)^(1/2)*(x^5+2)/x^6/(a*x^10-x^5-1),x, algorithm=""fricas"")","\left[\frac{\sqrt{a} x^{5} \log\left(\frac{a x^{10} - 2 \, \sqrt{x^{5} + 1} \sqrt{a} x^{5} + x^{5} + 1}{a x^{10} - x^{5} - 1}\right) + 2 \, \sqrt{x^{5} + 1}}{5 \, x^{5}}, \frac{2 \, {\left(\sqrt{-a} x^{5} \arctan\left(\frac{\sqrt{-a} x^{5}}{\sqrt{x^{5} + 1}}\right) + \sqrt{x^{5} + 1}\right)}}{5 \, x^{5}}\right]"," ",0,"[1/5*(sqrt(a)*x^5*log((a*x^10 - 2*sqrt(x^5 + 1)*sqrt(a)*x^5 + x^5 + 1)/(a*x^10 - x^5 - 1)) + 2*sqrt(x^5 + 1))/x^5, 2/5*(sqrt(-a)*x^5*arctan(sqrt(-a)*x^5/sqrt(x^5 + 1)) + sqrt(x^5 + 1))/x^5]","A",0
2725,1,103,0,0.496730," ","integrate((x^5-2)*(x^5-1)^(1/2)/x^6/(a*x^10-x^5+1),x, algorithm=""fricas"")","\left[\frac{\sqrt{a} x^{5} \log\left(\frac{a x^{10} - 2 \, \sqrt{x^{5} - 1} \sqrt{a} x^{5} + x^{5} - 1}{a x^{10} - x^{5} + 1}\right) + 2 \, \sqrt{x^{5} - 1}}{5 \, x^{5}}, \frac{2 \, {\left(\sqrt{-a} x^{5} \arctan\left(\frac{\sqrt{-a} x^{5}}{\sqrt{x^{5} - 1}}\right) + \sqrt{x^{5} - 1}\right)}}{5 \, x^{5}}\right]"," ",0,"[1/5*(sqrt(a)*x^5*log((a*x^10 - 2*sqrt(x^5 - 1)*sqrt(a)*x^5 + x^5 - 1)/(a*x^10 - x^5 + 1)) + 2*sqrt(x^5 - 1))/x^5, 2/5*(sqrt(-a)*x^5*arctan(sqrt(-a)*x^5/sqrt(x^5 - 1)) + sqrt(x^5 - 1))/x^5]","A",0
2726,-1,0,0,0.000000," ","integrate(1/(x^2-(1+x)^(1/2)*(1+(1+x)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2727,-1,0,0,0.000000," ","integrate(1/(x^2-(1+x)^(1/2)*(1+(1+x)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2728,1,6425,0,63.312374," ","integrate(x*(_C3*x^2-_C4)/((_C3*x^2+_C0*x+_C4)/(_C3*x^2+_C1*x+_C4))^(1/2)/(3*_C3*x^2+3*_C4+x)/(_C3^2*x^4+2*_C3*_C4*x^2+_C4^2-x^2),x, algorithm=""fricas"")","\left[\frac{3}{16} \, \sqrt{\frac{3 \, C_{1} - 1}{3 \, C_{0} - 1}} \log\left(-\frac{{\left(9 \, C_{0}^{2} + 6 \, {\left(9 \, C_{0} - 4\right)} C_{1} + 9 \, C_{1}^{2} - 24 \, C_{0} + 8\right)} C_{3}^{2} x^{4} + 2 \, {\left(9 \, {\left(4 \, C_{0} - 1\right)} C_{1}^{2} - 9 \, C_{0}^{2} + 2 \, {\left(18 \, C_{0}^{2} - 15 \, C_{0} + 2\right)} C_{1} + 4 \, C_{0}\right)} C_{3} x^{3} + {\left(9 \, C_{0}^{2} + 6 \, {\left(9 \, C_{0} - 4\right)} C_{1} + 9 \, C_{1}^{2} - 24 \, C_{0} + 8\right)} C_{4}^{2} + 2 \, {\left(9 \, {\left(4 \, C_{0} - 1\right)} C_{1}^{2} - 9 \, C_{0}^{2} + 2 \, {\left(18 \, C_{0}^{2} - 15 \, C_{0} + 2\right)} C_{1} + 4 \, C_{0}\right)} C_{4} x + {\left({\left(72 \, C_{0}^{2} - 24 \, C_{0} + 1\right)} C_{1}^{2} + 2 \, {\left(9 \, C_{0}^{2} + 6 \, {\left(9 \, C_{0} - 4\right)} C_{1} + 9 \, C_{1}^{2} - 24 \, C_{0} + 8\right)} C_{3} C_{4} + C_{0}^{2} - 6 \, {\left(4 \, C_{0}^{2} - C_{0}\right)} C_{1}\right)} x^{2} + 4 \, {\left({\left(9 \, C_{0}^{2} + 3 \, {\left(3 \, C_{0} - 1\right)} C_{1} - 9 \, C_{0} + 2\right)} C_{3}^{2} x^{4} + {\left(3 \, {\left(3 \, C_{0} - 1\right)} C_{1}^{2} - 3 \, C_{0}^{2} + 3 \, {\left(9 \, C_{0}^{2} - 6 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} C_{3} x^{3} + {\left(9 \, C_{0}^{2} + 3 \, {\left(3 \, C_{0} - 1\right)} C_{1} - 9 \, C_{0} + 2\right)} C_{4}^{2} + {\left(3 \, {\left(3 \, C_{0} - 1\right)} C_{1}^{2} - 3 \, C_{0}^{2} + 3 \, {\left(9 \, C_{0}^{2} - 6 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} C_{4} x + {\left({\left(18 \, C_{0}^{2} - 9 \, C_{0} + 1\right)} C_{1}^{2} + 2 \, {\left(9 \, C_{0}^{2} + 3 \, {\left(3 \, C_{0} - 1\right)} C_{1} - 9 \, C_{0} + 2\right)} C_{3} C_{4} - {\left(3 \, C_{0}^{2} - C_{0}\right)} C_{1}\right)} x^{2}\right)} \sqrt{\frac{C_{3} x^{2} + C_{0} x + C_{4}}{C_{3} x^{2} + C_{1} x + C_{4}}} \sqrt{\frac{3 \, C_{1} - 1}{3 \, C_{0} - 1}}}{9 \, C_{3}^{2} x^{4} + 6 \, C_{3} x^{3} + {\left(18 \, C_{3} C_{4} + 1\right)} x^{2} + 9 \, C_{4}^{2} + 6 \, C_{4} x}\right) + \frac{1}{8} \, \sqrt{\frac{C_{1} - 1}{C_{0} - 1}} \log\left(-\frac{{\left(C_{0}^{2} + 2 \, {\left(3 \, C_{0} - 4\right)} C_{1} + C_{1}^{2} - 8 \, C_{0} + 8\right)} C_{3}^{2} x^{4} + 2 \, {\left({\left(4 \, C_{0} - 3\right)} C_{1}^{2} - 3 \, C_{0}^{2} + 2 \, {\left(2 \, C_{0}^{2} - 5 \, C_{0} + 2\right)} C_{1} + 4 \, C_{0}\right)} C_{3} x^{3} + {\left(C_{0}^{2} + 2 \, {\left(3 \, C_{0} - 4\right)} C_{1} + C_{1}^{2} - 8 \, C_{0} + 8\right)} C_{4}^{2} + 2 \, {\left({\left(4 \, C_{0} - 3\right)} C_{1}^{2} - 3 \, C_{0}^{2} + 2 \, {\left(2 \, C_{0}^{2} - 5 \, C_{0} + 2\right)} C_{1} + 4 \, C_{0}\right)} C_{4} x + {\left({\left(8 \, C_{0}^{2} - 8 \, C_{0} + 1\right)} C_{1}^{2} + 2 \, {\left(C_{0}^{2} + 2 \, {\left(3 \, C_{0} - 4\right)} C_{1} + C_{1}^{2} - 8 \, C_{0} + 8\right)} C_{3} C_{4} + C_{0}^{2} - 2 \, {\left(4 \, C_{0}^{2} - 3 \, C_{0}\right)} C_{1}\right)} x^{2} - 4 \, {\left({\left(C_{0}^{2} + {\left(C_{0} - 1\right)} C_{1} - 3 \, C_{0} + 2\right)} C_{3}^{2} x^{4} + {\left({\left(C_{0} - 1\right)} C_{1}^{2} - C_{0}^{2} + 3 \, {\left(C_{0}^{2} - 2 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} C_{3} x^{3} + {\left(C_{0}^{2} + {\left(C_{0} - 1\right)} C_{1} - 3 \, C_{0} + 2\right)} C_{4}^{2} + {\left({\left(C_{0} - 1\right)} C_{1}^{2} - C_{0}^{2} + 3 \, {\left(C_{0}^{2} - 2 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} C_{4} x + {\left({\left(2 \, C_{0}^{2} - 3 \, C_{0} + 1\right)} C_{1}^{2} + 2 \, {\left(C_{0}^{2} + {\left(C_{0} - 1\right)} C_{1} - 3 \, C_{0} + 2\right)} C_{3} C_{4} - {\left(C_{0}^{2} - C_{0}\right)} C_{1}\right)} x^{2}\right)} \sqrt{\frac{C_{3} x^{2} + C_{0} x + C_{4}}{C_{3} x^{2} + C_{1} x + C_{4}}} \sqrt{\frac{C_{1} - 1}{C_{0} - 1}}}{C_{3}^{2} x^{4} + 2 \, C_{3} x^{3} + {\left(2 \, C_{3} C_{4} + 1\right)} x^{2} + C_{4}^{2} + 2 \, C_{4} x}\right) + \frac{1}{16} \, \sqrt{\frac{C_{1} + 1}{C_{0} + 1}} \log\left(-\frac{{\left(C_{0}^{2} + 2 \, {\left(3 \, C_{0} + 4\right)} C_{1} + C_{1}^{2} + 8 \, C_{0} + 8\right)} C_{3}^{2} x^{4} + 2 \, {\left({\left(4 \, C_{0} + 3\right)} C_{1}^{2} + 3 \, C_{0}^{2} + 2 \, {\left(2 \, C_{0}^{2} + 5 \, C_{0} + 2\right)} C_{1} + 4 \, C_{0}\right)} C_{3} x^{3} + {\left(C_{0}^{2} + 2 \, {\left(3 \, C_{0} + 4\right)} C_{1} + C_{1}^{2} + 8 \, C_{0} + 8\right)} C_{4}^{2} + 2 \, {\left({\left(4 \, C_{0} + 3\right)} C_{1}^{2} + 3 \, C_{0}^{2} + 2 \, {\left(2 \, C_{0}^{2} + 5 \, C_{0} + 2\right)} C_{1} + 4 \, C_{0}\right)} C_{4} x + {\left({\left(8 \, C_{0}^{2} + 8 \, C_{0} + 1\right)} C_{1}^{2} + 2 \, {\left(C_{0}^{2} + 2 \, {\left(3 \, C_{0} + 4\right)} C_{1} + C_{1}^{2} + 8 \, C_{0} + 8\right)} C_{3} C_{4} + C_{0}^{2} + 2 \, {\left(4 \, C_{0}^{2} + 3 \, C_{0}\right)} C_{1}\right)} x^{2} - 4 \, {\left({\left(C_{0}^{2} + {\left(C_{0} + 1\right)} C_{1} + 3 \, C_{0} + 2\right)} C_{3}^{2} x^{4} + {\left({\left(C_{0} + 1\right)} C_{1}^{2} + C_{0}^{2} + 3 \, {\left(C_{0}^{2} + 2 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} C_{3} x^{3} + {\left(C_{0}^{2} + {\left(C_{0} + 1\right)} C_{1} + 3 \, C_{0} + 2\right)} C_{4}^{2} + {\left({\left(C_{0} + 1\right)} C_{1}^{2} + C_{0}^{2} + 3 \, {\left(C_{0}^{2} + 2 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} C_{4} x + {\left({\left(2 \, C_{0}^{2} + 3 \, C_{0} + 1\right)} C_{1}^{2} + 2 \, {\left(C_{0}^{2} + {\left(C_{0} + 1\right)} C_{1} + 3 \, C_{0} + 2\right)} C_{3} C_{4} + {\left(C_{0}^{2} + C_{0}\right)} C_{1}\right)} x^{2}\right)} \sqrt{\frac{C_{3} x^{2} + C_{0} x + C_{4}}{C_{3} x^{2} + C_{1} x + C_{4}}} \sqrt{\frac{C_{1} + 1}{C_{0} + 1}}}{C_{3}^{2} x^{4} - 2 \, C_{3} x^{3} + {\left(2 \, C_{3} C_{4} + 1\right)} x^{2} + C_{4}^{2} - 2 \, C_{4} x}\right), \frac{1}{4} \, \sqrt{-\frac{C_{1} - 1}{C_{0} - 1}} \arctan\left(\frac{2 \, {\left({\left(C_{0} - 1\right)} C_{3} x^{2} + {\left(C_{0} - 1\right)} C_{1} x + {\left(C_{0} - 1\right)} C_{4}\right)} \sqrt{\frac{C_{3} x^{2} + C_{0} x + C_{4}}{C_{3} x^{2} + C_{1} x + C_{4}}} \sqrt{-\frac{C_{1} - 1}{C_{0} - 1}}}{{\left(C_{0} + C_{1} - 2\right)} C_{3} x^{2} + {\left(C_{0} + C_{1} - 2\right)} C_{4} + {\left({\left(2 \, C_{0} - 1\right)} C_{1} - C_{0}\right)} x}\right) + \frac{3}{16} \, \sqrt{\frac{3 \, C_{1} - 1}{3 \, C_{0} - 1}} \log\left(-\frac{{\left(9 \, C_{0}^{2} + 6 \, {\left(9 \, C_{0} - 4\right)} C_{1} + 9 \, C_{1}^{2} - 24 \, C_{0} + 8\right)} C_{3}^{2} x^{4} + 2 \, {\left(9 \, {\left(4 \, C_{0} - 1\right)} C_{1}^{2} - 9 \, C_{0}^{2} + 2 \, {\left(18 \, C_{0}^{2} - 15 \, C_{0} + 2\right)} C_{1} + 4 \, C_{0}\right)} C_{3} x^{3} + {\left(9 \, C_{0}^{2} + 6 \, {\left(9 \, C_{0} - 4\right)} C_{1} + 9 \, C_{1}^{2} - 24 \, C_{0} + 8\right)} C_{4}^{2} + 2 \, {\left(9 \, {\left(4 \, C_{0} - 1\right)} C_{1}^{2} - 9 \, C_{0}^{2} + 2 \, {\left(18 \, C_{0}^{2} - 15 \, C_{0} + 2\right)} C_{1} + 4 \, C_{0}\right)} C_{4} x + {\left({\left(72 \, C_{0}^{2} - 24 \, C_{0} + 1\right)} C_{1}^{2} + 2 \, {\left(9 \, C_{0}^{2} + 6 \, {\left(9 \, C_{0} - 4\right)} C_{1} + 9 \, C_{1}^{2} - 24 \, C_{0} + 8\right)} C_{3} C_{4} + C_{0}^{2} - 6 \, {\left(4 \, C_{0}^{2} - C_{0}\right)} C_{1}\right)} x^{2} + 4 \, {\left({\left(9 \, C_{0}^{2} + 3 \, {\left(3 \, C_{0} - 1\right)} C_{1} - 9 \, C_{0} + 2\right)} C_{3}^{2} x^{4} + {\left(3 \, {\left(3 \, C_{0} - 1\right)} C_{1}^{2} - 3 \, C_{0}^{2} + 3 \, {\left(9 \, C_{0}^{2} - 6 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} C_{3} x^{3} + {\left(9 \, C_{0}^{2} + 3 \, {\left(3 \, C_{0} - 1\right)} C_{1} - 9 \, C_{0} + 2\right)} C_{4}^{2} + {\left(3 \, {\left(3 \, C_{0} - 1\right)} C_{1}^{2} - 3 \, C_{0}^{2} + 3 \, {\left(9 \, C_{0}^{2} - 6 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} C_{4} x + {\left({\left(18 \, C_{0}^{2} - 9 \, C_{0} + 1\right)} C_{1}^{2} + 2 \, {\left(9 \, C_{0}^{2} + 3 \, {\left(3 \, C_{0} - 1\right)} C_{1} - 9 \, C_{0} + 2\right)} C_{3} C_{4} - {\left(3 \, C_{0}^{2} - C_{0}\right)} C_{1}\right)} x^{2}\right)} \sqrt{\frac{C_{3} x^{2} + C_{0} x + C_{4}}{C_{3} x^{2} + C_{1} x + C_{4}}} \sqrt{\frac{3 \, C_{1} - 1}{3 \, C_{0} - 1}}}{9 \, C_{3}^{2} x^{4} + 6 \, C_{3} x^{3} + {\left(18 \, C_{3} C_{4} + 1\right)} x^{2} + 9 \, C_{4}^{2} + 6 \, C_{4} x}\right) + \frac{1}{16} \, \sqrt{\frac{C_{1} + 1}{C_{0} + 1}} \log\left(-\frac{{\left(C_{0}^{2} + 2 \, {\left(3 \, C_{0} + 4\right)} C_{1} + C_{1}^{2} + 8 \, C_{0} + 8\right)} C_{3}^{2} x^{4} + 2 \, {\left({\left(4 \, C_{0} + 3\right)} C_{1}^{2} + 3 \, C_{0}^{2} + 2 \, {\left(2 \, C_{0}^{2} + 5 \, C_{0} + 2\right)} C_{1} + 4 \, C_{0}\right)} C_{3} x^{3} + {\left(C_{0}^{2} + 2 \, {\left(3 \, C_{0} + 4\right)} C_{1} + C_{1}^{2} + 8 \, C_{0} + 8\right)} C_{4}^{2} + 2 \, {\left({\left(4 \, C_{0} + 3\right)} C_{1}^{2} + 3 \, C_{0}^{2} + 2 \, {\left(2 \, C_{0}^{2} + 5 \, C_{0} + 2\right)} C_{1} + 4 \, C_{0}\right)} C_{4} x + {\left({\left(8 \, C_{0}^{2} + 8 \, C_{0} + 1\right)} C_{1}^{2} + 2 \, {\left(C_{0}^{2} + 2 \, {\left(3 \, C_{0} + 4\right)} C_{1} + C_{1}^{2} + 8 \, C_{0} + 8\right)} C_{3} C_{4} + C_{0}^{2} + 2 \, {\left(4 \, C_{0}^{2} + 3 \, C_{0}\right)} C_{1}\right)} x^{2} - 4 \, {\left({\left(C_{0}^{2} + {\left(C_{0} + 1\right)} C_{1} + 3 \, C_{0} + 2\right)} C_{3}^{2} x^{4} + {\left({\left(C_{0} + 1\right)} C_{1}^{2} + C_{0}^{2} + 3 \, {\left(C_{0}^{2} + 2 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} C_{3} x^{3} + {\left(C_{0}^{2} + {\left(C_{0} + 1\right)} C_{1} + 3 \, C_{0} + 2\right)} C_{4}^{2} + {\left({\left(C_{0} + 1\right)} C_{1}^{2} + C_{0}^{2} + 3 \, {\left(C_{0}^{2} + 2 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} C_{4} x + {\left({\left(2 \, C_{0}^{2} + 3 \, C_{0} + 1\right)} C_{1}^{2} + 2 \, {\left(C_{0}^{2} + {\left(C_{0} + 1\right)} C_{1} + 3 \, C_{0} + 2\right)} C_{3} C_{4} + {\left(C_{0}^{2} + C_{0}\right)} C_{1}\right)} x^{2}\right)} \sqrt{\frac{C_{3} x^{2} + C_{0} x + C_{4}}{C_{3} x^{2} + C_{1} x + C_{4}}} \sqrt{\frac{C_{1} + 1}{C_{0} + 1}}}{C_{3}^{2} x^{4} - 2 \, C_{3} x^{3} + {\left(2 \, C_{3} C_{4} + 1\right)} x^{2} + C_{4}^{2} - 2 \, C_{4} x}\right), \frac{1}{8} \, \sqrt{-\frac{C_{1} + 1}{C_{0} + 1}} \arctan\left(\frac{2 \, {\left({\left(C_{0} + 1\right)} C_{3} x^{2} + {\left(C_{0} + 1\right)} C_{1} x + {\left(C_{0} + 1\right)} C_{4}\right)} \sqrt{\frac{C_{3} x^{2} + C_{0} x + C_{4}}{C_{3} x^{2} + C_{1} x + C_{4}}} \sqrt{-\frac{C_{1} + 1}{C_{0} + 1}}}{{\left(C_{0} + C_{1} + 2\right)} C_{3} x^{2} + {\left(C_{0} + C_{1} + 2\right)} C_{4} + {\left({\left(2 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} x}\right) + \frac{3}{16} \, \sqrt{\frac{3 \, C_{1} - 1}{3 \, C_{0} - 1}} \log\left(-\frac{{\left(9 \, C_{0}^{2} + 6 \, {\left(9 \, C_{0} - 4\right)} C_{1} + 9 \, C_{1}^{2} - 24 \, C_{0} + 8\right)} C_{3}^{2} x^{4} + 2 \, {\left(9 \, {\left(4 \, C_{0} - 1\right)} C_{1}^{2} - 9 \, C_{0}^{2} + 2 \, {\left(18 \, C_{0}^{2} - 15 \, C_{0} + 2\right)} C_{1} + 4 \, C_{0}\right)} C_{3} x^{3} + {\left(9 \, C_{0}^{2} + 6 \, {\left(9 \, C_{0} - 4\right)} C_{1} + 9 \, C_{1}^{2} - 24 \, C_{0} + 8\right)} C_{4}^{2} + 2 \, {\left(9 \, {\left(4 \, C_{0} - 1\right)} C_{1}^{2} - 9 \, C_{0}^{2} + 2 \, {\left(18 \, C_{0}^{2} - 15 \, C_{0} + 2\right)} C_{1} + 4 \, C_{0}\right)} C_{4} x + {\left({\left(72 \, C_{0}^{2} - 24 \, C_{0} + 1\right)} C_{1}^{2} + 2 \, {\left(9 \, C_{0}^{2} + 6 \, {\left(9 \, C_{0} - 4\right)} C_{1} + 9 \, C_{1}^{2} - 24 \, C_{0} + 8\right)} C_{3} C_{4} + C_{0}^{2} - 6 \, {\left(4 \, C_{0}^{2} - C_{0}\right)} C_{1}\right)} x^{2} + 4 \, {\left({\left(9 \, C_{0}^{2} + 3 \, {\left(3 \, C_{0} - 1\right)} C_{1} - 9 \, C_{0} + 2\right)} C_{3}^{2} x^{4} + {\left(3 \, {\left(3 \, C_{0} - 1\right)} C_{1}^{2} - 3 \, C_{0}^{2} + 3 \, {\left(9 \, C_{0}^{2} - 6 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} C_{3} x^{3} + {\left(9 \, C_{0}^{2} + 3 \, {\left(3 \, C_{0} - 1\right)} C_{1} - 9 \, C_{0} + 2\right)} C_{4}^{2} + {\left(3 \, {\left(3 \, C_{0} - 1\right)} C_{1}^{2} - 3 \, C_{0}^{2} + 3 \, {\left(9 \, C_{0}^{2} - 6 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} C_{4} x + {\left({\left(18 \, C_{0}^{2} - 9 \, C_{0} + 1\right)} C_{1}^{2} + 2 \, {\left(9 \, C_{0}^{2} + 3 \, {\left(3 \, C_{0} - 1\right)} C_{1} - 9 \, C_{0} + 2\right)} C_{3} C_{4} - {\left(3 \, C_{0}^{2} - C_{0}\right)} C_{1}\right)} x^{2}\right)} \sqrt{\frac{C_{3} x^{2} + C_{0} x + C_{4}}{C_{3} x^{2} + C_{1} x + C_{4}}} \sqrt{\frac{3 \, C_{1} - 1}{3 \, C_{0} - 1}}}{9 \, C_{3}^{2} x^{4} + 6 \, C_{3} x^{3} + {\left(18 \, C_{3} C_{4} + 1\right)} x^{2} + 9 \, C_{4}^{2} + 6 \, C_{4} x}\right) + \frac{1}{8} \, \sqrt{\frac{C_{1} - 1}{C_{0} - 1}} \log\left(-\frac{{\left(C_{0}^{2} + 2 \, {\left(3 \, C_{0} - 4\right)} C_{1} + C_{1}^{2} - 8 \, C_{0} + 8\right)} C_{3}^{2} x^{4} + 2 \, {\left({\left(4 \, C_{0} - 3\right)} C_{1}^{2} - 3 \, C_{0}^{2} + 2 \, {\left(2 \, C_{0}^{2} - 5 \, C_{0} + 2\right)} C_{1} + 4 \, C_{0}\right)} C_{3} x^{3} + {\left(C_{0}^{2} + 2 \, {\left(3 \, C_{0} - 4\right)} C_{1} + C_{1}^{2} - 8 \, C_{0} + 8\right)} C_{4}^{2} + 2 \, {\left({\left(4 \, C_{0} - 3\right)} C_{1}^{2} - 3 \, C_{0}^{2} + 2 \, {\left(2 \, C_{0}^{2} - 5 \, C_{0} + 2\right)} C_{1} + 4 \, C_{0}\right)} C_{4} x + {\left({\left(8 \, C_{0}^{2} - 8 \, C_{0} + 1\right)} C_{1}^{2} + 2 \, {\left(C_{0}^{2} + 2 \, {\left(3 \, C_{0} - 4\right)} C_{1} + C_{1}^{2} - 8 \, C_{0} + 8\right)} C_{3} C_{4} + C_{0}^{2} - 2 \, {\left(4 \, C_{0}^{2} - 3 \, C_{0}\right)} C_{1}\right)} x^{2} - 4 \, {\left({\left(C_{0}^{2} + {\left(C_{0} - 1\right)} C_{1} - 3 \, C_{0} + 2\right)} C_{3}^{2} x^{4} + {\left({\left(C_{0} - 1\right)} C_{1}^{2} - C_{0}^{2} + 3 \, {\left(C_{0}^{2} - 2 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} C_{3} x^{3} + {\left(C_{0}^{2} + {\left(C_{0} - 1\right)} C_{1} - 3 \, C_{0} + 2\right)} C_{4}^{2} + {\left({\left(C_{0} - 1\right)} C_{1}^{2} - C_{0}^{2} + 3 \, {\left(C_{0}^{2} - 2 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} C_{4} x + {\left({\left(2 \, C_{0}^{2} - 3 \, C_{0} + 1\right)} C_{1}^{2} + 2 \, {\left(C_{0}^{2} + {\left(C_{0} - 1\right)} C_{1} - 3 \, C_{0} + 2\right)} C_{3} C_{4} - {\left(C_{0}^{2} - C_{0}\right)} C_{1}\right)} x^{2}\right)} \sqrt{\frac{C_{3} x^{2} + C_{0} x + C_{4}}{C_{3} x^{2} + C_{1} x + C_{4}}} \sqrt{\frac{C_{1} - 1}{C_{0} - 1}}}{C_{3}^{2} x^{4} + 2 \, C_{3} x^{3} + {\left(2 \, C_{3} C_{4} + 1\right)} x^{2} + C_{4}^{2} + 2 \, C_{4} x}\right), \frac{1}{8} \, \sqrt{-\frac{C_{1} + 1}{C_{0} + 1}} \arctan\left(\frac{2 \, {\left({\left(C_{0} + 1\right)} C_{3} x^{2} + {\left(C_{0} + 1\right)} C_{1} x + {\left(C_{0} + 1\right)} C_{4}\right)} \sqrt{\frac{C_{3} x^{2} + C_{0} x + C_{4}}{C_{3} x^{2} + C_{1} x + C_{4}}} \sqrt{-\frac{C_{1} + 1}{C_{0} + 1}}}{{\left(C_{0} + C_{1} + 2\right)} C_{3} x^{2} + {\left(C_{0} + C_{1} + 2\right)} C_{4} + {\left({\left(2 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} x}\right) + \frac{1}{4} \, \sqrt{-\frac{C_{1} - 1}{C_{0} - 1}} \arctan\left(\frac{2 \, {\left({\left(C_{0} - 1\right)} C_{3} x^{2} + {\left(C_{0} - 1\right)} C_{1} x + {\left(C_{0} - 1\right)} C_{4}\right)} \sqrt{\frac{C_{3} x^{2} + C_{0} x + C_{4}}{C_{3} x^{2} + C_{1} x + C_{4}}} \sqrt{-\frac{C_{1} - 1}{C_{0} - 1}}}{{\left(C_{0} + C_{1} - 2\right)} C_{3} x^{2} + {\left(C_{0} + C_{1} - 2\right)} C_{4} + {\left({\left(2 \, C_{0} - 1\right)} C_{1} - C_{0}\right)} x}\right) + \frac{3}{16} \, \sqrt{\frac{3 \, C_{1} - 1}{3 \, C_{0} - 1}} \log\left(-\frac{{\left(9 \, C_{0}^{2} + 6 \, {\left(9 \, C_{0} - 4\right)} C_{1} + 9 \, C_{1}^{2} - 24 \, C_{0} + 8\right)} C_{3}^{2} x^{4} + 2 \, {\left(9 \, {\left(4 \, C_{0} - 1\right)} C_{1}^{2} - 9 \, C_{0}^{2} + 2 \, {\left(18 \, C_{0}^{2} - 15 \, C_{0} + 2\right)} C_{1} + 4 \, C_{0}\right)} C_{3} x^{3} + {\left(9 \, C_{0}^{2} + 6 \, {\left(9 \, C_{0} - 4\right)} C_{1} + 9 \, C_{1}^{2} - 24 \, C_{0} + 8\right)} C_{4}^{2} + 2 \, {\left(9 \, {\left(4 \, C_{0} - 1\right)} C_{1}^{2} - 9 \, C_{0}^{2} + 2 \, {\left(18 \, C_{0}^{2} - 15 \, C_{0} + 2\right)} C_{1} + 4 \, C_{0}\right)} C_{4} x + {\left({\left(72 \, C_{0}^{2} - 24 \, C_{0} + 1\right)} C_{1}^{2} + 2 \, {\left(9 \, C_{0}^{2} + 6 \, {\left(9 \, C_{0} - 4\right)} C_{1} + 9 \, C_{1}^{2} - 24 \, C_{0} + 8\right)} C_{3} C_{4} + C_{0}^{2} - 6 \, {\left(4 \, C_{0}^{2} - C_{0}\right)} C_{1}\right)} x^{2} + 4 \, {\left({\left(9 \, C_{0}^{2} + 3 \, {\left(3 \, C_{0} - 1\right)} C_{1} - 9 \, C_{0} + 2\right)} C_{3}^{2} x^{4} + {\left(3 \, {\left(3 \, C_{0} - 1\right)} C_{1}^{2} - 3 \, C_{0}^{2} + 3 \, {\left(9 \, C_{0}^{2} - 6 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} C_{3} x^{3} + {\left(9 \, C_{0}^{2} + 3 \, {\left(3 \, C_{0} - 1\right)} C_{1} - 9 \, C_{0} + 2\right)} C_{4}^{2} + {\left(3 \, {\left(3 \, C_{0} - 1\right)} C_{1}^{2} - 3 \, C_{0}^{2} + 3 \, {\left(9 \, C_{0}^{2} - 6 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} C_{4} x + {\left({\left(18 \, C_{0}^{2} - 9 \, C_{0} + 1\right)} C_{1}^{2} + 2 \, {\left(9 \, C_{0}^{2} + 3 \, {\left(3 \, C_{0} - 1\right)} C_{1} - 9 \, C_{0} + 2\right)} C_{3} C_{4} - {\left(3 \, C_{0}^{2} - C_{0}\right)} C_{1}\right)} x^{2}\right)} \sqrt{\frac{C_{3} x^{2} + C_{0} x + C_{4}}{C_{3} x^{2} + C_{1} x + C_{4}}} \sqrt{\frac{3 \, C_{1} - 1}{3 \, C_{0} - 1}}}{9 \, C_{3}^{2} x^{4} + 6 \, C_{3} x^{3} + {\left(18 \, C_{3} C_{4} + 1\right)} x^{2} + 9 \, C_{4}^{2} + 6 \, C_{4} x}\right), -\frac{3}{8} \, \sqrt{-\frac{3 \, C_{1} - 1}{3 \, C_{0} - 1}} \arctan\left(\frac{2 \, {\left({\left(3 \, C_{0} - 1\right)} C_{3} x^{2} + {\left(3 \, C_{0} - 1\right)} C_{1} x + {\left(3 \, C_{0} - 1\right)} C_{4}\right)} \sqrt{\frac{C_{3} x^{2} + C_{0} x + C_{4}}{C_{3} x^{2} + C_{1} x + C_{4}}} \sqrt{-\frac{3 \, C_{1} - 1}{3 \, C_{0} - 1}}}{{\left(3 \, C_{0} + 3 \, C_{1} - 2\right)} C_{3} x^{2} + {\left(3 \, C_{0} + 3 \, C_{1} - 2\right)} C_{4} + {\left({\left(6 \, C_{0} - 1\right)} C_{1} - C_{0}\right)} x}\right) + \frac{1}{8} \, \sqrt{\frac{C_{1} - 1}{C_{0} - 1}} \log\left(-\frac{{\left(C_{0}^{2} + 2 \, {\left(3 \, C_{0} - 4\right)} C_{1} + C_{1}^{2} - 8 \, C_{0} + 8\right)} C_{3}^{2} x^{4} + 2 \, {\left({\left(4 \, C_{0} - 3\right)} C_{1}^{2} - 3 \, C_{0}^{2} + 2 \, {\left(2 \, C_{0}^{2} - 5 \, C_{0} + 2\right)} C_{1} + 4 \, C_{0}\right)} C_{3} x^{3} + {\left(C_{0}^{2} + 2 \, {\left(3 \, C_{0} - 4\right)} C_{1} + C_{1}^{2} - 8 \, C_{0} + 8\right)} C_{4}^{2} + 2 \, {\left({\left(4 \, C_{0} - 3\right)} C_{1}^{2} - 3 \, C_{0}^{2} + 2 \, {\left(2 \, C_{0}^{2} - 5 \, C_{0} + 2\right)} C_{1} + 4 \, C_{0}\right)} C_{4} x + {\left({\left(8 \, C_{0}^{2} - 8 \, C_{0} + 1\right)} C_{1}^{2} + 2 \, {\left(C_{0}^{2} + 2 \, {\left(3 \, C_{0} - 4\right)} C_{1} + C_{1}^{2} - 8 \, C_{0} + 8\right)} C_{3} C_{4} + C_{0}^{2} - 2 \, {\left(4 \, C_{0}^{2} - 3 \, C_{0}\right)} C_{1}\right)} x^{2} - 4 \, {\left({\left(C_{0}^{2} + {\left(C_{0} - 1\right)} C_{1} - 3 \, C_{0} + 2\right)} C_{3}^{2} x^{4} + {\left({\left(C_{0} - 1\right)} C_{1}^{2} - C_{0}^{2} + 3 \, {\left(C_{0}^{2} - 2 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} C_{3} x^{3} + {\left(C_{0}^{2} + {\left(C_{0} - 1\right)} C_{1} - 3 \, C_{0} + 2\right)} C_{4}^{2} + {\left({\left(C_{0} - 1\right)} C_{1}^{2} - C_{0}^{2} + 3 \, {\left(C_{0}^{2} - 2 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} C_{4} x + {\left({\left(2 \, C_{0}^{2} - 3 \, C_{0} + 1\right)} C_{1}^{2} + 2 \, {\left(C_{0}^{2} + {\left(C_{0} - 1\right)} C_{1} - 3 \, C_{0} + 2\right)} C_{3} C_{4} - {\left(C_{0}^{2} - C_{0}\right)} C_{1}\right)} x^{2}\right)} \sqrt{\frac{C_{3} x^{2} + C_{0} x + C_{4}}{C_{3} x^{2} + C_{1} x + C_{4}}} \sqrt{\frac{C_{1} - 1}{C_{0} - 1}}}{C_{3}^{2} x^{4} + 2 \, C_{3} x^{3} + {\left(2 \, C_{3} C_{4} + 1\right)} x^{2} + C_{4}^{2} + 2 \, C_{4} x}\right) + \frac{1}{16} \, \sqrt{\frac{C_{1} + 1}{C_{0} + 1}} \log\left(-\frac{{\left(C_{0}^{2} + 2 \, {\left(3 \, C_{0} + 4\right)} C_{1} + C_{1}^{2} + 8 \, C_{0} + 8\right)} C_{3}^{2} x^{4} + 2 \, {\left({\left(4 \, C_{0} + 3\right)} C_{1}^{2} + 3 \, C_{0}^{2} + 2 \, {\left(2 \, C_{0}^{2} + 5 \, C_{0} + 2\right)} C_{1} + 4 \, C_{0}\right)} C_{3} x^{3} + {\left(C_{0}^{2} + 2 \, {\left(3 \, C_{0} + 4\right)} C_{1} + C_{1}^{2} + 8 \, C_{0} + 8\right)} C_{4}^{2} + 2 \, {\left({\left(4 \, C_{0} + 3\right)} C_{1}^{2} + 3 \, C_{0}^{2} + 2 \, {\left(2 \, C_{0}^{2} + 5 \, C_{0} + 2\right)} C_{1} + 4 \, C_{0}\right)} C_{4} x + {\left({\left(8 \, C_{0}^{2} + 8 \, C_{0} + 1\right)} C_{1}^{2} + 2 \, {\left(C_{0}^{2} + 2 \, {\left(3 \, C_{0} + 4\right)} C_{1} + C_{1}^{2} + 8 \, C_{0} + 8\right)} C_{3} C_{4} + C_{0}^{2} + 2 \, {\left(4 \, C_{0}^{2} + 3 \, C_{0}\right)} C_{1}\right)} x^{2} - 4 \, {\left({\left(C_{0}^{2} + {\left(C_{0} + 1\right)} C_{1} + 3 \, C_{0} + 2\right)} C_{3}^{2} x^{4} + {\left({\left(C_{0} + 1\right)} C_{1}^{2} + C_{0}^{2} + 3 \, {\left(C_{0}^{2} + 2 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} C_{3} x^{3} + {\left(C_{0}^{2} + {\left(C_{0} + 1\right)} C_{1} + 3 \, C_{0} + 2\right)} C_{4}^{2} + {\left({\left(C_{0} + 1\right)} C_{1}^{2} + C_{0}^{2} + 3 \, {\left(C_{0}^{2} + 2 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} C_{4} x + {\left({\left(2 \, C_{0}^{2} + 3 \, C_{0} + 1\right)} C_{1}^{2} + 2 \, {\left(C_{0}^{2} + {\left(C_{0} + 1\right)} C_{1} + 3 \, C_{0} + 2\right)} C_{3} C_{4} + {\left(C_{0}^{2} + C_{0}\right)} C_{1}\right)} x^{2}\right)} \sqrt{\frac{C_{3} x^{2} + C_{0} x + C_{4}}{C_{3} x^{2} + C_{1} x + C_{4}}} \sqrt{\frac{C_{1} + 1}{C_{0} + 1}}}{C_{3}^{2} x^{4} - 2 \, C_{3} x^{3} + {\left(2 \, C_{3} C_{4} + 1\right)} x^{2} + C_{4}^{2} - 2 \, C_{4} x}\right), -\frac{3}{8} \, \sqrt{-\frac{3 \, C_{1} - 1}{3 \, C_{0} - 1}} \arctan\left(\frac{2 \, {\left({\left(3 \, C_{0} - 1\right)} C_{3} x^{2} + {\left(3 \, C_{0} - 1\right)} C_{1} x + {\left(3 \, C_{0} - 1\right)} C_{4}\right)} \sqrt{\frac{C_{3} x^{2} + C_{0} x + C_{4}}{C_{3} x^{2} + C_{1} x + C_{4}}} \sqrt{-\frac{3 \, C_{1} - 1}{3 \, C_{0} - 1}}}{{\left(3 \, C_{0} + 3 \, C_{1} - 2\right)} C_{3} x^{2} + {\left(3 \, C_{0} + 3 \, C_{1} - 2\right)} C_{4} + {\left({\left(6 \, C_{0} - 1\right)} C_{1} - C_{0}\right)} x}\right) + \frac{1}{4} \, \sqrt{-\frac{C_{1} - 1}{C_{0} - 1}} \arctan\left(\frac{2 \, {\left({\left(C_{0} - 1\right)} C_{3} x^{2} + {\left(C_{0} - 1\right)} C_{1} x + {\left(C_{0} - 1\right)} C_{4}\right)} \sqrt{\frac{C_{3} x^{2} + C_{0} x + C_{4}}{C_{3} x^{2} + C_{1} x + C_{4}}} \sqrt{-\frac{C_{1} - 1}{C_{0} - 1}}}{{\left(C_{0} + C_{1} - 2\right)} C_{3} x^{2} + {\left(C_{0} + C_{1} - 2\right)} C_{4} + {\left({\left(2 \, C_{0} - 1\right)} C_{1} - C_{0}\right)} x}\right) + \frac{1}{16} \, \sqrt{\frac{C_{1} + 1}{C_{0} + 1}} \log\left(-\frac{{\left(C_{0}^{2} + 2 \, {\left(3 \, C_{0} + 4\right)} C_{1} + C_{1}^{2} + 8 \, C_{0} + 8\right)} C_{3}^{2} x^{4} + 2 \, {\left({\left(4 \, C_{0} + 3\right)} C_{1}^{2} + 3 \, C_{0}^{2} + 2 \, {\left(2 \, C_{0}^{2} + 5 \, C_{0} + 2\right)} C_{1} + 4 \, C_{0}\right)} C_{3} x^{3} + {\left(C_{0}^{2} + 2 \, {\left(3 \, C_{0} + 4\right)} C_{1} + C_{1}^{2} + 8 \, C_{0} + 8\right)} C_{4}^{2} + 2 \, {\left({\left(4 \, C_{0} + 3\right)} C_{1}^{2} + 3 \, C_{0}^{2} + 2 \, {\left(2 \, C_{0}^{2} + 5 \, C_{0} + 2\right)} C_{1} + 4 \, C_{0}\right)} C_{4} x + {\left({\left(8 \, C_{0}^{2} + 8 \, C_{0} + 1\right)} C_{1}^{2} + 2 \, {\left(C_{0}^{2} + 2 \, {\left(3 \, C_{0} + 4\right)} C_{1} + C_{1}^{2} + 8 \, C_{0} + 8\right)} C_{3} C_{4} + C_{0}^{2} + 2 \, {\left(4 \, C_{0}^{2} + 3 \, C_{0}\right)} C_{1}\right)} x^{2} - 4 \, {\left({\left(C_{0}^{2} + {\left(C_{0} + 1\right)} C_{1} + 3 \, C_{0} + 2\right)} C_{3}^{2} x^{4} + {\left({\left(C_{0} + 1\right)} C_{1}^{2} + C_{0}^{2} + 3 \, {\left(C_{0}^{2} + 2 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} C_{3} x^{3} + {\left(C_{0}^{2} + {\left(C_{0} + 1\right)} C_{1} + 3 \, C_{0} + 2\right)} C_{4}^{2} + {\left({\left(C_{0} + 1\right)} C_{1}^{2} + C_{0}^{2} + 3 \, {\left(C_{0}^{2} + 2 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} C_{4} x + {\left({\left(2 \, C_{0}^{2} + 3 \, C_{0} + 1\right)} C_{1}^{2} + 2 \, {\left(C_{0}^{2} + {\left(C_{0} + 1\right)} C_{1} + 3 \, C_{0} + 2\right)} C_{3} C_{4} + {\left(C_{0}^{2} + C_{0}\right)} C_{1}\right)} x^{2}\right)} \sqrt{\frac{C_{3} x^{2} + C_{0} x + C_{4}}{C_{3} x^{2} + C_{1} x + C_{4}}} \sqrt{\frac{C_{1} + 1}{C_{0} + 1}}}{C_{3}^{2} x^{4} - 2 \, C_{3} x^{3} + {\left(2 \, C_{3} C_{4} + 1\right)} x^{2} + C_{4}^{2} - 2 \, C_{4} x}\right), -\frac{3}{8} \, \sqrt{-\frac{3 \, C_{1} - 1}{3 \, C_{0} - 1}} \arctan\left(\frac{2 \, {\left({\left(3 \, C_{0} - 1\right)} C_{3} x^{2} + {\left(3 \, C_{0} - 1\right)} C_{1} x + {\left(3 \, C_{0} - 1\right)} C_{4}\right)} \sqrt{\frac{C_{3} x^{2} + C_{0} x + C_{4}}{C_{3} x^{2} + C_{1} x + C_{4}}} \sqrt{-\frac{3 \, C_{1} - 1}{3 \, C_{0} - 1}}}{{\left(3 \, C_{0} + 3 \, C_{1} - 2\right)} C_{3} x^{2} + {\left(3 \, C_{0} + 3 \, C_{1} - 2\right)} C_{4} + {\left({\left(6 \, C_{0} - 1\right)} C_{1} - C_{0}\right)} x}\right) + \frac{1}{8} \, \sqrt{-\frac{C_{1} + 1}{C_{0} + 1}} \arctan\left(\frac{2 \, {\left({\left(C_{0} + 1\right)} C_{3} x^{2} + {\left(C_{0} + 1\right)} C_{1} x + {\left(C_{0} + 1\right)} C_{4}\right)} \sqrt{\frac{C_{3} x^{2} + C_{0} x + C_{4}}{C_{3} x^{2} + C_{1} x + C_{4}}} \sqrt{-\frac{C_{1} + 1}{C_{0} + 1}}}{{\left(C_{0} + C_{1} + 2\right)} C_{3} x^{2} + {\left(C_{0} + C_{1} + 2\right)} C_{4} + {\left({\left(2 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} x}\right) + \frac{1}{8} \, \sqrt{\frac{C_{1} - 1}{C_{0} - 1}} \log\left(-\frac{{\left(C_{0}^{2} + 2 \, {\left(3 \, C_{0} - 4\right)} C_{1} + C_{1}^{2} - 8 \, C_{0} + 8\right)} C_{3}^{2} x^{4} + 2 \, {\left({\left(4 \, C_{0} - 3\right)} C_{1}^{2} - 3 \, C_{0}^{2} + 2 \, {\left(2 \, C_{0}^{2} - 5 \, C_{0} + 2\right)} C_{1} + 4 \, C_{0}\right)} C_{3} x^{3} + {\left(C_{0}^{2} + 2 \, {\left(3 \, C_{0} - 4\right)} C_{1} + C_{1}^{2} - 8 \, C_{0} + 8\right)} C_{4}^{2} + 2 \, {\left({\left(4 \, C_{0} - 3\right)} C_{1}^{2} - 3 \, C_{0}^{2} + 2 \, {\left(2 \, C_{0}^{2} - 5 \, C_{0} + 2\right)} C_{1} + 4 \, C_{0}\right)} C_{4} x + {\left({\left(8 \, C_{0}^{2} - 8 \, C_{0} + 1\right)} C_{1}^{2} + 2 \, {\left(C_{0}^{2} + 2 \, {\left(3 \, C_{0} - 4\right)} C_{1} + C_{1}^{2} - 8 \, C_{0} + 8\right)} C_{3} C_{4} + C_{0}^{2} - 2 \, {\left(4 \, C_{0}^{2} - 3 \, C_{0}\right)} C_{1}\right)} x^{2} - 4 \, {\left({\left(C_{0}^{2} + {\left(C_{0} - 1\right)} C_{1} - 3 \, C_{0} + 2\right)} C_{3}^{2} x^{4} + {\left({\left(C_{0} - 1\right)} C_{1}^{2} - C_{0}^{2} + 3 \, {\left(C_{0}^{2} - 2 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} C_{3} x^{3} + {\left(C_{0}^{2} + {\left(C_{0} - 1\right)} C_{1} - 3 \, C_{0} + 2\right)} C_{4}^{2} + {\left({\left(C_{0} - 1\right)} C_{1}^{2} - C_{0}^{2} + 3 \, {\left(C_{0}^{2} - 2 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} C_{4} x + {\left({\left(2 \, C_{0}^{2} - 3 \, C_{0} + 1\right)} C_{1}^{2} + 2 \, {\left(C_{0}^{2} + {\left(C_{0} - 1\right)} C_{1} - 3 \, C_{0} + 2\right)} C_{3} C_{4} - {\left(C_{0}^{2} - C_{0}\right)} C_{1}\right)} x^{2}\right)} \sqrt{\frac{C_{3} x^{2} + C_{0} x + C_{4}}{C_{3} x^{2} + C_{1} x + C_{4}}} \sqrt{\frac{C_{1} - 1}{C_{0} - 1}}}{C_{3}^{2} x^{4} + 2 \, C_{3} x^{3} + {\left(2 \, C_{3} C_{4} + 1\right)} x^{2} + C_{4}^{2} + 2 \, C_{4} x}\right), -\frac{3}{8} \, \sqrt{-\frac{3 \, C_{1} - 1}{3 \, C_{0} - 1}} \arctan\left(\frac{2 \, {\left({\left(3 \, C_{0} - 1\right)} C_{3} x^{2} + {\left(3 \, C_{0} - 1\right)} C_{1} x + {\left(3 \, C_{0} - 1\right)} C_{4}\right)} \sqrt{\frac{C_{3} x^{2} + C_{0} x + C_{4}}{C_{3} x^{2} + C_{1} x + C_{4}}} \sqrt{-\frac{3 \, C_{1} - 1}{3 \, C_{0} - 1}}}{{\left(3 \, C_{0} + 3 \, C_{1} - 2\right)} C_{3} x^{2} + {\left(3 \, C_{0} + 3 \, C_{1} - 2\right)} C_{4} + {\left({\left(6 \, C_{0} - 1\right)} C_{1} - C_{0}\right)} x}\right) + \frac{1}{8} \, \sqrt{-\frac{C_{1} + 1}{C_{0} + 1}} \arctan\left(\frac{2 \, {\left({\left(C_{0} + 1\right)} C_{3} x^{2} + {\left(C_{0} + 1\right)} C_{1} x + {\left(C_{0} + 1\right)} C_{4}\right)} \sqrt{\frac{C_{3} x^{2} + C_{0} x + C_{4}}{C_{3} x^{2} + C_{1} x + C_{4}}} \sqrt{-\frac{C_{1} + 1}{C_{0} + 1}}}{{\left(C_{0} + C_{1} + 2\right)} C_{3} x^{2} + {\left(C_{0} + C_{1} + 2\right)} C_{4} + {\left({\left(2 \, C_{0} + 1\right)} C_{1} + C_{0}\right)} x}\right) + \frac{1}{4} \, \sqrt{-\frac{C_{1} - 1}{C_{0} - 1}} \arctan\left(\frac{2 \, {\left({\left(C_{0} - 1\right)} C_{3} x^{2} + {\left(C_{0} - 1\right)} C_{1} x + {\left(C_{0} - 1\right)} C_{4}\right)} \sqrt{\frac{C_{3} x^{2} + C_{0} x + C_{4}}{C_{3} x^{2} + C_{1} x + C_{4}}} \sqrt{-\frac{C_{1} - 1}{C_{0} - 1}}}{{\left(C_{0} + C_{1} - 2\right)} C_{3} x^{2} + {\left(C_{0} + C_{1} - 2\right)} C_{4} + {\left({\left(2 \, C_{0} - 1\right)} C_{1} - C_{0}\right)} x}\right)\right]"," ",0,"[3/16*sqrt((3*C1 - 1)/(3*C0 - 1))*log(-((9*C0^2 + 6*(9*C0 - 4)*C1 + 9*C1^2 - 24*C0 + 8)*C3^2*x^4 + 2*(9*(4*C0 - 1)*C1^2 - 9*C0^2 + 2*(18*C0^2 - 15*C0 + 2)*C1 + 4*C0)*C3*x^3 + (9*C0^2 + 6*(9*C0 - 4)*C1 + 9*C1^2 - 24*C0 + 8)*C4^2 + 2*(9*(4*C0 - 1)*C1^2 - 9*C0^2 + 2*(18*C0^2 - 15*C0 + 2)*C1 + 4*C0)*C4*x + ((72*C0^2 - 24*C0 + 1)*C1^2 + 2*(9*C0^2 + 6*(9*C0 - 4)*C1 + 9*C1^2 - 24*C0 + 8)*C3*C4 + C0^2 - 6*(4*C0^2 - C0)*C1)*x^2 + 4*((9*C0^2 + 3*(3*C0 - 1)*C1 - 9*C0 + 2)*C3^2*x^4 + (3*(3*C0 - 1)*C1^2 - 3*C0^2 + 3*(9*C0^2 - 6*C0 + 1)*C1 + C0)*C3*x^3 + (9*C0^2 + 3*(3*C0 - 1)*C1 - 9*C0 + 2)*C4^2 + (3*(3*C0 - 1)*C1^2 - 3*C0^2 + 3*(9*C0^2 - 6*C0 + 1)*C1 + C0)*C4*x + ((18*C0^2 - 9*C0 + 1)*C1^2 + 2*(9*C0^2 + 3*(3*C0 - 1)*C1 - 9*C0 + 2)*C3*C4 - (3*C0^2 - C0)*C1)*x^2)*sqrt((C3*x^2 + C0*x + C4)/(C3*x^2 + C1*x + C4))*sqrt((3*C1 - 1)/(3*C0 - 1)))/(9*C3^2*x^4 + 6*C3*x^3 + (18*C3*C4 + 1)*x^2 + 9*C4^2 + 6*C4*x)) + 1/8*sqrt((C1 - 1)/(C0 - 1))*log(-((C0^2 + 2*(3*C0 - 4)*C1 + C1^2 - 8*C0 + 8)*C3^2*x^4 + 2*((4*C0 - 3)*C1^2 - 3*C0^2 + 2*(2*C0^2 - 5*C0 + 2)*C1 + 4*C0)*C3*x^3 + (C0^2 + 2*(3*C0 - 4)*C1 + C1^2 - 8*C0 + 8)*C4^2 + 2*((4*C0 - 3)*C1^2 - 3*C0^2 + 2*(2*C0^2 - 5*C0 + 2)*C1 + 4*C0)*C4*x + ((8*C0^2 - 8*C0 + 1)*C1^2 + 2*(C0^2 + 2*(3*C0 - 4)*C1 + C1^2 - 8*C0 + 8)*C3*C4 + C0^2 - 2*(4*C0^2 - 3*C0)*C1)*x^2 - 4*((C0^2 + (C0 - 1)*C1 - 3*C0 + 2)*C3^2*x^4 + ((C0 - 1)*C1^2 - C0^2 + 3*(C0^2 - 2*C0 + 1)*C1 + C0)*C3*x^3 + (C0^2 + (C0 - 1)*C1 - 3*C0 + 2)*C4^2 + ((C0 - 1)*C1^2 - C0^2 + 3*(C0^2 - 2*C0 + 1)*C1 + C0)*C4*x + ((2*C0^2 - 3*C0 + 1)*C1^2 + 2*(C0^2 + (C0 - 1)*C1 - 3*C0 + 2)*C3*C4 - (C0^2 - C0)*C1)*x^2)*sqrt((C3*x^2 + C0*x + C4)/(C3*x^2 + C1*x + C4))*sqrt((C1 - 1)/(C0 - 1)))/(C3^2*x^4 + 2*C3*x^3 + (2*C3*C4 + 1)*x^2 + C4^2 + 2*C4*x)) + 1/16*sqrt((C1 + 1)/(C0 + 1))*log(-((C0^2 + 2*(3*C0 + 4)*C1 + C1^2 + 8*C0 + 8)*C3^2*x^4 + 2*((4*C0 + 3)*C1^2 + 3*C0^2 + 2*(2*C0^2 + 5*C0 + 2)*C1 + 4*C0)*C3*x^3 + (C0^2 + 2*(3*C0 + 4)*C1 + C1^2 + 8*C0 + 8)*C4^2 + 2*((4*C0 + 3)*C1^2 + 3*C0^2 + 2*(2*C0^2 + 5*C0 + 2)*C1 + 4*C0)*C4*x + ((8*C0^2 + 8*C0 + 1)*C1^2 + 2*(C0^2 + 2*(3*C0 + 4)*C1 + C1^2 + 8*C0 + 8)*C3*C4 + C0^2 + 2*(4*C0^2 + 3*C0)*C1)*x^2 - 4*((C0^2 + (C0 + 1)*C1 + 3*C0 + 2)*C3^2*x^4 + ((C0 + 1)*C1^2 + C0^2 + 3*(C0^2 + 2*C0 + 1)*C1 + C0)*C3*x^3 + (C0^2 + (C0 + 1)*C1 + 3*C0 + 2)*C4^2 + ((C0 + 1)*C1^2 + C0^2 + 3*(C0^2 + 2*C0 + 1)*C1 + C0)*C4*x + ((2*C0^2 + 3*C0 + 1)*C1^2 + 2*(C0^2 + (C0 + 1)*C1 + 3*C0 + 2)*C3*C4 + (C0^2 + C0)*C1)*x^2)*sqrt((C3*x^2 + C0*x + C4)/(C3*x^2 + C1*x + C4))*sqrt((C1 + 1)/(C0 + 1)))/(C3^2*x^4 - 2*C3*x^3 + (2*C3*C4 + 1)*x^2 + C4^2 - 2*C4*x)), 1/4*sqrt(-(C1 - 1)/(C0 - 1))*arctan(2*((C0 - 1)*C3*x^2 + (C0 - 1)*C1*x + (C0 - 1)*C4)*sqrt((C3*x^2 + C0*x + C4)/(C3*x^2 + C1*x + C4))*sqrt(-(C1 - 1)/(C0 - 1))/((C0 + C1 - 2)*C3*x^2 + (C0 + C1 - 2)*C4 + ((2*C0 - 1)*C1 - C0)*x)) + 3/16*sqrt((3*C1 - 1)/(3*C0 - 1))*log(-((9*C0^2 + 6*(9*C0 - 4)*C1 + 9*C1^2 - 24*C0 + 8)*C3^2*x^4 + 2*(9*(4*C0 - 1)*C1^2 - 9*C0^2 + 2*(18*C0^2 - 15*C0 + 2)*C1 + 4*C0)*C3*x^3 + (9*C0^2 + 6*(9*C0 - 4)*C1 + 9*C1^2 - 24*C0 + 8)*C4^2 + 2*(9*(4*C0 - 1)*C1^2 - 9*C0^2 + 2*(18*C0^2 - 15*C0 + 2)*C1 + 4*C0)*C4*x + ((72*C0^2 - 24*C0 + 1)*C1^2 + 2*(9*C0^2 + 6*(9*C0 - 4)*C1 + 9*C1^2 - 24*C0 + 8)*C3*C4 + C0^2 - 6*(4*C0^2 - C0)*C1)*x^2 + 4*((9*C0^2 + 3*(3*C0 - 1)*C1 - 9*C0 + 2)*C3^2*x^4 + (3*(3*C0 - 1)*C1^2 - 3*C0^2 + 3*(9*C0^2 - 6*C0 + 1)*C1 + C0)*C3*x^3 + (9*C0^2 + 3*(3*C0 - 1)*C1 - 9*C0 + 2)*C4^2 + (3*(3*C0 - 1)*C1^2 - 3*C0^2 + 3*(9*C0^2 - 6*C0 + 1)*C1 + C0)*C4*x + ((18*C0^2 - 9*C0 + 1)*C1^2 + 2*(9*C0^2 + 3*(3*C0 - 1)*C1 - 9*C0 + 2)*C3*C4 - (3*C0^2 - C0)*C1)*x^2)*sqrt((C3*x^2 + C0*x + C4)/(C3*x^2 + C1*x + C4))*sqrt((3*C1 - 1)/(3*C0 - 1)))/(9*C3^2*x^4 + 6*C3*x^3 + (18*C3*C4 + 1)*x^2 + 9*C4^2 + 6*C4*x)) + 1/16*sqrt((C1 + 1)/(C0 + 1))*log(-((C0^2 + 2*(3*C0 + 4)*C1 + C1^2 + 8*C0 + 8)*C3^2*x^4 + 2*((4*C0 + 3)*C1^2 + 3*C0^2 + 2*(2*C0^2 + 5*C0 + 2)*C1 + 4*C0)*C3*x^3 + (C0^2 + 2*(3*C0 + 4)*C1 + C1^2 + 8*C0 + 8)*C4^2 + 2*((4*C0 + 3)*C1^2 + 3*C0^2 + 2*(2*C0^2 + 5*C0 + 2)*C1 + 4*C0)*C4*x + ((8*C0^2 + 8*C0 + 1)*C1^2 + 2*(C0^2 + 2*(3*C0 + 4)*C1 + C1^2 + 8*C0 + 8)*C3*C4 + C0^2 + 2*(4*C0^2 + 3*C0)*C1)*x^2 - 4*((C0^2 + (C0 + 1)*C1 + 3*C0 + 2)*C3^2*x^4 + ((C0 + 1)*C1^2 + C0^2 + 3*(C0^2 + 2*C0 + 1)*C1 + C0)*C3*x^3 + (C0^2 + (C0 + 1)*C1 + 3*C0 + 2)*C4^2 + ((C0 + 1)*C1^2 + C0^2 + 3*(C0^2 + 2*C0 + 1)*C1 + C0)*C4*x + ((2*C0^2 + 3*C0 + 1)*C1^2 + 2*(C0^2 + (C0 + 1)*C1 + 3*C0 + 2)*C3*C4 + (C0^2 + C0)*C1)*x^2)*sqrt((C3*x^2 + C0*x + C4)/(C3*x^2 + C1*x + C4))*sqrt((C1 + 1)/(C0 + 1)))/(C3^2*x^4 - 2*C3*x^3 + (2*C3*C4 + 1)*x^2 + C4^2 - 2*C4*x)), 1/8*sqrt(-(C1 + 1)/(C0 + 1))*arctan(2*((C0 + 1)*C3*x^2 + (C0 + 1)*C1*x + (C0 + 1)*C4)*sqrt((C3*x^2 + C0*x + C4)/(C3*x^2 + C1*x + C4))*sqrt(-(C1 + 1)/(C0 + 1))/((C0 + C1 + 2)*C3*x^2 + (C0 + C1 + 2)*C4 + ((2*C0 + 1)*C1 + C0)*x)) + 3/16*sqrt((3*C1 - 1)/(3*C0 - 1))*log(-((9*C0^2 + 6*(9*C0 - 4)*C1 + 9*C1^2 - 24*C0 + 8)*C3^2*x^4 + 2*(9*(4*C0 - 1)*C1^2 - 9*C0^2 + 2*(18*C0^2 - 15*C0 + 2)*C1 + 4*C0)*C3*x^3 + (9*C0^2 + 6*(9*C0 - 4)*C1 + 9*C1^2 - 24*C0 + 8)*C4^2 + 2*(9*(4*C0 - 1)*C1^2 - 9*C0^2 + 2*(18*C0^2 - 15*C0 + 2)*C1 + 4*C0)*C4*x + ((72*C0^2 - 24*C0 + 1)*C1^2 + 2*(9*C0^2 + 6*(9*C0 - 4)*C1 + 9*C1^2 - 24*C0 + 8)*C3*C4 + C0^2 - 6*(4*C0^2 - C0)*C1)*x^2 + 4*((9*C0^2 + 3*(3*C0 - 1)*C1 - 9*C0 + 2)*C3^2*x^4 + (3*(3*C0 - 1)*C1^2 - 3*C0^2 + 3*(9*C0^2 - 6*C0 + 1)*C1 + C0)*C3*x^3 + (9*C0^2 + 3*(3*C0 - 1)*C1 - 9*C0 + 2)*C4^2 + (3*(3*C0 - 1)*C1^2 - 3*C0^2 + 3*(9*C0^2 - 6*C0 + 1)*C1 + C0)*C4*x + ((18*C0^2 - 9*C0 + 1)*C1^2 + 2*(9*C0^2 + 3*(3*C0 - 1)*C1 - 9*C0 + 2)*C3*C4 - (3*C0^2 - C0)*C1)*x^2)*sqrt((C3*x^2 + C0*x + C4)/(C3*x^2 + C1*x + C4))*sqrt((3*C1 - 1)/(3*C0 - 1)))/(9*C3^2*x^4 + 6*C3*x^3 + (18*C3*C4 + 1)*x^2 + 9*C4^2 + 6*C4*x)) + 1/8*sqrt((C1 - 1)/(C0 - 1))*log(-((C0^2 + 2*(3*C0 - 4)*C1 + C1^2 - 8*C0 + 8)*C3^2*x^4 + 2*((4*C0 - 3)*C1^2 - 3*C0^2 + 2*(2*C0^2 - 5*C0 + 2)*C1 + 4*C0)*C3*x^3 + (C0^2 + 2*(3*C0 - 4)*C1 + C1^2 - 8*C0 + 8)*C4^2 + 2*((4*C0 - 3)*C1^2 - 3*C0^2 + 2*(2*C0^2 - 5*C0 + 2)*C1 + 4*C0)*C4*x + ((8*C0^2 - 8*C0 + 1)*C1^2 + 2*(C0^2 + 2*(3*C0 - 4)*C1 + C1^2 - 8*C0 + 8)*C3*C4 + C0^2 - 2*(4*C0^2 - 3*C0)*C1)*x^2 - 4*((C0^2 + (C0 - 1)*C1 - 3*C0 + 2)*C3^2*x^4 + ((C0 - 1)*C1^2 - C0^2 + 3*(C0^2 - 2*C0 + 1)*C1 + C0)*C3*x^3 + (C0^2 + (C0 - 1)*C1 - 3*C0 + 2)*C4^2 + ((C0 - 1)*C1^2 - C0^2 + 3*(C0^2 - 2*C0 + 1)*C1 + C0)*C4*x + ((2*C0^2 - 3*C0 + 1)*C1^2 + 2*(C0^2 + (C0 - 1)*C1 - 3*C0 + 2)*C3*C4 - (C0^2 - C0)*C1)*x^2)*sqrt((C3*x^2 + C0*x + C4)/(C3*x^2 + C1*x + C4))*sqrt((C1 - 1)/(C0 - 1)))/(C3^2*x^4 + 2*C3*x^3 + (2*C3*C4 + 1)*x^2 + C4^2 + 2*C4*x)), 1/8*sqrt(-(C1 + 1)/(C0 + 1))*arctan(2*((C0 + 1)*C3*x^2 + (C0 + 1)*C1*x + (C0 + 1)*C4)*sqrt((C3*x^2 + C0*x + C4)/(C3*x^2 + C1*x + C4))*sqrt(-(C1 + 1)/(C0 + 1))/((C0 + C1 + 2)*C3*x^2 + (C0 + C1 + 2)*C4 + ((2*C0 + 1)*C1 + C0)*x)) + 1/4*sqrt(-(C1 - 1)/(C0 - 1))*arctan(2*((C0 - 1)*C3*x^2 + (C0 - 1)*C1*x + (C0 - 1)*C4)*sqrt((C3*x^2 + C0*x + C4)/(C3*x^2 + C1*x + C4))*sqrt(-(C1 - 1)/(C0 - 1))/((C0 + C1 - 2)*C3*x^2 + (C0 + C1 - 2)*C4 + ((2*C0 - 1)*C1 - C0)*x)) + 3/16*sqrt((3*C1 - 1)/(3*C0 - 1))*log(-((9*C0^2 + 6*(9*C0 - 4)*C1 + 9*C1^2 - 24*C0 + 8)*C3^2*x^4 + 2*(9*(4*C0 - 1)*C1^2 - 9*C0^2 + 2*(18*C0^2 - 15*C0 + 2)*C1 + 4*C0)*C3*x^3 + (9*C0^2 + 6*(9*C0 - 4)*C1 + 9*C1^2 - 24*C0 + 8)*C4^2 + 2*(9*(4*C0 - 1)*C1^2 - 9*C0^2 + 2*(18*C0^2 - 15*C0 + 2)*C1 + 4*C0)*C4*x + ((72*C0^2 - 24*C0 + 1)*C1^2 + 2*(9*C0^2 + 6*(9*C0 - 4)*C1 + 9*C1^2 - 24*C0 + 8)*C3*C4 + C0^2 - 6*(4*C0^2 - C0)*C1)*x^2 + 4*((9*C0^2 + 3*(3*C0 - 1)*C1 - 9*C0 + 2)*C3^2*x^4 + (3*(3*C0 - 1)*C1^2 - 3*C0^2 + 3*(9*C0^2 - 6*C0 + 1)*C1 + C0)*C3*x^3 + (9*C0^2 + 3*(3*C0 - 1)*C1 - 9*C0 + 2)*C4^2 + (3*(3*C0 - 1)*C1^2 - 3*C0^2 + 3*(9*C0^2 - 6*C0 + 1)*C1 + C0)*C4*x + ((18*C0^2 - 9*C0 + 1)*C1^2 + 2*(9*C0^2 + 3*(3*C0 - 1)*C1 - 9*C0 + 2)*C3*C4 - (3*C0^2 - C0)*C1)*x^2)*sqrt((C3*x^2 + C0*x + C4)/(C3*x^2 + C1*x + C4))*sqrt((3*C1 - 1)/(3*C0 - 1)))/(9*C3^2*x^4 + 6*C3*x^3 + (18*C3*C4 + 1)*x^2 + 9*C4^2 + 6*C4*x)), -3/8*sqrt(-(3*C1 - 1)/(3*C0 - 1))*arctan(2*((3*C0 - 1)*C3*x^2 + (3*C0 - 1)*C1*x + (3*C0 - 1)*C4)*sqrt((C3*x^2 + C0*x + C4)/(C3*x^2 + C1*x + C4))*sqrt(-(3*C1 - 1)/(3*C0 - 1))/((3*C0 + 3*C1 - 2)*C3*x^2 + (3*C0 + 3*C1 - 2)*C4 + ((6*C0 - 1)*C1 - C0)*x)) + 1/8*sqrt((C1 - 1)/(C0 - 1))*log(-((C0^2 + 2*(3*C0 - 4)*C1 + C1^2 - 8*C0 + 8)*C3^2*x^4 + 2*((4*C0 - 3)*C1^2 - 3*C0^2 + 2*(2*C0^2 - 5*C0 + 2)*C1 + 4*C0)*C3*x^3 + (C0^2 + 2*(3*C0 - 4)*C1 + C1^2 - 8*C0 + 8)*C4^2 + 2*((4*C0 - 3)*C1^2 - 3*C0^2 + 2*(2*C0^2 - 5*C0 + 2)*C1 + 4*C0)*C4*x + ((8*C0^2 - 8*C0 + 1)*C1^2 + 2*(C0^2 + 2*(3*C0 - 4)*C1 + C1^2 - 8*C0 + 8)*C3*C4 + C0^2 - 2*(4*C0^2 - 3*C0)*C1)*x^2 - 4*((C0^2 + (C0 - 1)*C1 - 3*C0 + 2)*C3^2*x^4 + ((C0 - 1)*C1^2 - C0^2 + 3*(C0^2 - 2*C0 + 1)*C1 + C0)*C3*x^3 + (C0^2 + (C0 - 1)*C1 - 3*C0 + 2)*C4^2 + ((C0 - 1)*C1^2 - C0^2 + 3*(C0^2 - 2*C0 + 1)*C1 + C0)*C4*x + ((2*C0^2 - 3*C0 + 1)*C1^2 + 2*(C0^2 + (C0 - 1)*C1 - 3*C0 + 2)*C3*C4 - (C0^2 - C0)*C1)*x^2)*sqrt((C3*x^2 + C0*x + C4)/(C3*x^2 + C1*x + C4))*sqrt((C1 - 1)/(C0 - 1)))/(C3^2*x^4 + 2*C3*x^3 + (2*C3*C4 + 1)*x^2 + C4^2 + 2*C4*x)) + 1/16*sqrt((C1 + 1)/(C0 + 1))*log(-((C0^2 + 2*(3*C0 + 4)*C1 + C1^2 + 8*C0 + 8)*C3^2*x^4 + 2*((4*C0 + 3)*C1^2 + 3*C0^2 + 2*(2*C0^2 + 5*C0 + 2)*C1 + 4*C0)*C3*x^3 + (C0^2 + 2*(3*C0 + 4)*C1 + C1^2 + 8*C0 + 8)*C4^2 + 2*((4*C0 + 3)*C1^2 + 3*C0^2 + 2*(2*C0^2 + 5*C0 + 2)*C1 + 4*C0)*C4*x + ((8*C0^2 + 8*C0 + 1)*C1^2 + 2*(C0^2 + 2*(3*C0 + 4)*C1 + C1^2 + 8*C0 + 8)*C3*C4 + C0^2 + 2*(4*C0^2 + 3*C0)*C1)*x^2 - 4*((C0^2 + (C0 + 1)*C1 + 3*C0 + 2)*C3^2*x^4 + ((C0 + 1)*C1^2 + C0^2 + 3*(C0^2 + 2*C0 + 1)*C1 + C0)*C3*x^3 + (C0^2 + (C0 + 1)*C1 + 3*C0 + 2)*C4^2 + ((C0 + 1)*C1^2 + C0^2 + 3*(C0^2 + 2*C0 + 1)*C1 + C0)*C4*x + ((2*C0^2 + 3*C0 + 1)*C1^2 + 2*(C0^2 + (C0 + 1)*C1 + 3*C0 + 2)*C3*C4 + (C0^2 + C0)*C1)*x^2)*sqrt((C3*x^2 + C0*x + C4)/(C3*x^2 + C1*x + C4))*sqrt((C1 + 1)/(C0 + 1)))/(C3^2*x^4 - 2*C3*x^3 + (2*C3*C4 + 1)*x^2 + C4^2 - 2*C4*x)), -3/8*sqrt(-(3*C1 - 1)/(3*C0 - 1))*arctan(2*((3*C0 - 1)*C3*x^2 + (3*C0 - 1)*C1*x + (3*C0 - 1)*C4)*sqrt((C3*x^2 + C0*x + C4)/(C3*x^2 + C1*x + C4))*sqrt(-(3*C1 - 1)/(3*C0 - 1))/((3*C0 + 3*C1 - 2)*C3*x^2 + (3*C0 + 3*C1 - 2)*C4 + ((6*C0 - 1)*C1 - C0)*x)) + 1/4*sqrt(-(C1 - 1)/(C0 - 1))*arctan(2*((C0 - 1)*C3*x^2 + (C0 - 1)*C1*x + (C0 - 1)*C4)*sqrt((C3*x^2 + C0*x + C4)/(C3*x^2 + C1*x + C4))*sqrt(-(C1 - 1)/(C0 - 1))/((C0 + C1 - 2)*C3*x^2 + (C0 + C1 - 2)*C4 + ((2*C0 - 1)*C1 - C0)*x)) + 1/16*sqrt((C1 + 1)/(C0 + 1))*log(-((C0^2 + 2*(3*C0 + 4)*C1 + C1^2 + 8*C0 + 8)*C3^2*x^4 + 2*((4*C0 + 3)*C1^2 + 3*C0^2 + 2*(2*C0^2 + 5*C0 + 2)*C1 + 4*C0)*C3*x^3 + (C0^2 + 2*(3*C0 + 4)*C1 + C1^2 + 8*C0 + 8)*C4^2 + 2*((4*C0 + 3)*C1^2 + 3*C0^2 + 2*(2*C0^2 + 5*C0 + 2)*C1 + 4*C0)*C4*x + ((8*C0^2 + 8*C0 + 1)*C1^2 + 2*(C0^2 + 2*(3*C0 + 4)*C1 + C1^2 + 8*C0 + 8)*C3*C4 + C0^2 + 2*(4*C0^2 + 3*C0)*C1)*x^2 - 4*((C0^2 + (C0 + 1)*C1 + 3*C0 + 2)*C3^2*x^4 + ((C0 + 1)*C1^2 + C0^2 + 3*(C0^2 + 2*C0 + 1)*C1 + C0)*C3*x^3 + (C0^2 + (C0 + 1)*C1 + 3*C0 + 2)*C4^2 + ((C0 + 1)*C1^2 + C0^2 + 3*(C0^2 + 2*C0 + 1)*C1 + C0)*C4*x + ((2*C0^2 + 3*C0 + 1)*C1^2 + 2*(C0^2 + (C0 + 1)*C1 + 3*C0 + 2)*C3*C4 + (C0^2 + C0)*C1)*x^2)*sqrt((C3*x^2 + C0*x + C4)/(C3*x^2 + C1*x + C4))*sqrt((C1 + 1)/(C0 + 1)))/(C3^2*x^4 - 2*C3*x^3 + (2*C3*C4 + 1)*x^2 + C4^2 - 2*C4*x)), -3/8*sqrt(-(3*C1 - 1)/(3*C0 - 1))*arctan(2*((3*C0 - 1)*C3*x^2 + (3*C0 - 1)*C1*x + (3*C0 - 1)*C4)*sqrt((C3*x^2 + C0*x + C4)/(C3*x^2 + C1*x + C4))*sqrt(-(3*C1 - 1)/(3*C0 - 1))/((3*C0 + 3*C1 - 2)*C3*x^2 + (3*C0 + 3*C1 - 2)*C4 + ((6*C0 - 1)*C1 - C0)*x)) + 1/8*sqrt(-(C1 + 1)/(C0 + 1))*arctan(2*((C0 + 1)*C3*x^2 + (C0 + 1)*C1*x + (C0 + 1)*C4)*sqrt((C3*x^2 + C0*x + C4)/(C3*x^2 + C1*x + C4))*sqrt(-(C1 + 1)/(C0 + 1))/((C0 + C1 + 2)*C3*x^2 + (C0 + C1 + 2)*C4 + ((2*C0 + 1)*C1 + C0)*x)) + 1/8*sqrt((C1 - 1)/(C0 - 1))*log(-((C0^2 + 2*(3*C0 - 4)*C1 + C1^2 - 8*C0 + 8)*C3^2*x^4 + 2*((4*C0 - 3)*C1^2 - 3*C0^2 + 2*(2*C0^2 - 5*C0 + 2)*C1 + 4*C0)*C3*x^3 + (C0^2 + 2*(3*C0 - 4)*C1 + C1^2 - 8*C0 + 8)*C4^2 + 2*((4*C0 - 3)*C1^2 - 3*C0^2 + 2*(2*C0^2 - 5*C0 + 2)*C1 + 4*C0)*C4*x + ((8*C0^2 - 8*C0 + 1)*C1^2 + 2*(C0^2 + 2*(3*C0 - 4)*C1 + C1^2 - 8*C0 + 8)*C3*C4 + C0^2 - 2*(4*C0^2 - 3*C0)*C1)*x^2 - 4*((C0^2 + (C0 - 1)*C1 - 3*C0 + 2)*C3^2*x^4 + ((C0 - 1)*C1^2 - C0^2 + 3*(C0^2 - 2*C0 + 1)*C1 + C0)*C3*x^3 + (C0^2 + (C0 - 1)*C1 - 3*C0 + 2)*C4^2 + ((C0 - 1)*C1^2 - C0^2 + 3*(C0^2 - 2*C0 + 1)*C1 + C0)*C4*x + ((2*C0^2 - 3*C0 + 1)*C1^2 + 2*(C0^2 + (C0 - 1)*C1 - 3*C0 + 2)*C3*C4 - (C0^2 - C0)*C1)*x^2)*sqrt((C3*x^2 + C0*x + C4)/(C3*x^2 + C1*x + C4))*sqrt((C1 - 1)/(C0 - 1)))/(C3^2*x^4 + 2*C3*x^3 + (2*C3*C4 + 1)*x^2 + C4^2 + 2*C4*x)), -3/8*sqrt(-(3*C1 - 1)/(3*C0 - 1))*arctan(2*((3*C0 - 1)*C3*x^2 + (3*C0 - 1)*C1*x + (3*C0 - 1)*C4)*sqrt((C3*x^2 + C0*x + C4)/(C3*x^2 + C1*x + C4))*sqrt(-(3*C1 - 1)/(3*C0 - 1))/((3*C0 + 3*C1 - 2)*C3*x^2 + (3*C0 + 3*C1 - 2)*C4 + ((6*C0 - 1)*C1 - C0)*x)) + 1/8*sqrt(-(C1 + 1)/(C0 + 1))*arctan(2*((C0 + 1)*C3*x^2 + (C0 + 1)*C1*x + (C0 + 1)*C4)*sqrt((C3*x^2 + C0*x + C4)/(C3*x^2 + C1*x + C4))*sqrt(-(C1 + 1)/(C0 + 1))/((C0 + C1 + 2)*C3*x^2 + (C0 + C1 + 2)*C4 + ((2*C0 + 1)*C1 + C0)*x)) + 1/4*sqrt(-(C1 - 1)/(C0 - 1))*arctan(2*((C0 - 1)*C3*x^2 + (C0 - 1)*C1*x + (C0 - 1)*C4)*sqrt((C3*x^2 + C0*x + C4)/(C3*x^2 + C1*x + C4))*sqrt(-(C1 - 1)/(C0 - 1))/((C0 + C1 - 2)*C3*x^2 + (C0 + C1 - 2)*C4 + ((2*C0 - 1)*C1 - C0)*x))]","A",0
2729,-1,0,0,0.000000," ","integrate(1/(a*x^4-b)^2/(a*x^4-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2730,-1,0,0,0.000000," ","integrate(1/(a*x^4-b)^2/(a*x^4-b*x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2731,-1,0,0,0.000000," ","integrate((p*x^3-2*q)*(a*p*x^3+b*x^2+a*q)*(p^2*x^6-2*p*q*x^4+2*p*q*x^3+q^2)^(1/2)/x^5/(c*p*x^3+d*x^2+c*q),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2732,-1,0,0,0.000000," ","integrate(-(-1+x)*x*(-1+2*x+(k^2-2*k)*x^2)/((1-x)*x*(-k*x+1))^(2/3)/(1-4*k*x+(6*k^2-b)*x^2+(-4*k^3+2*b)*x^3+(k^4-b)*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2733,1,234,0,174.261709," ","integrate((p*x^3-2*q)*(p^2*x^6-2*p*q*x^4+2*p*q*x^3+q^2)^(1/2)*(b*x^8+a*(p*x^3+q)^4)/x^13,x, algorithm=""fricas"")","-\frac{6 \, {\left(a p^{3} q^{3} + 2 \, b p q\right)} x^{12} \log\left(-\frac{p x^{3} + q + \sqrt{p^{2} x^{6} - 2 \, p q x^{4} + 2 \, p q x^{3} + q^{2}}}{x^{2}}\right) - {\left(2 \, a p^{5} x^{15} - a p^{4} q x^{13} + 10 \, a p^{4} q x^{12} - 3 \, a p^{3} q^{2} x^{10} + 20 \, a p^{3} q^{2} x^{9} - 3 \, a p^{2} q^{3} x^{7} + 20 \, a p^{2} q^{3} x^{6} - 3 \, {\left(a p^{3} q^{2} - 2 \, b p\right)} x^{11} - a p q^{4} x^{4} + 10 \, a p q^{4} x^{3} - 3 \, {\left(a p^{2} q^{3} - 2 \, b q\right)} x^{8} + 2 \, a q^{5}\right)} \sqrt{p^{2} x^{6} - 2 \, p q x^{4} + 2 \, p q x^{3} + q^{2}}}{12 \, x^{12}}"," ",0,"-1/12*(6*(a*p^3*q^3 + 2*b*p*q)*x^12*log(-(p*x^3 + q + sqrt(p^2*x^6 - 2*p*q*x^4 + 2*p*q*x^3 + q^2))/x^2) - (2*a*p^5*x^15 - a*p^4*q*x^13 + 10*a*p^4*q*x^12 - 3*a*p^3*q^2*x^10 + 20*a*p^3*q^2*x^9 - 3*a*p^2*q^3*x^7 + 20*a*p^2*q^3*x^6 - 3*(a*p^3*q^2 - 2*b*p)*x^11 - a*p*q^4*x^4 + 10*a*p*q^4*x^3 - 3*(a*p^2*q^3 - 2*b*q)*x^8 + 2*a*q^5)*sqrt(p^2*x^6 - 2*p*q*x^4 + 2*p*q*x^3 + q^2))/x^12","A",0
2734,-1,0,0,0.000000," ","integrate(x^2/(x^2-(1+x)^(1/2)*(1+(1+x)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2735,-1,0,0,0.000000," ","integrate(x^2/(x^2-(1+x)^(1/2)*(1+(1+x)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2736,1,1084,0,1.267581," ","integrate(1/x/(x^4-4*x^3+6*x^2-4*x+1)^(1/5),x, algorithm=""fricas"")","-\frac{1}{4} \, {\left(\sqrt{5} - 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)} \log\left(-\frac{{\left(x - 1\right)} {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)}^{3} + {\left(x - 1\right)} {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)} {\left(\sqrt{5} - 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)}^{2} - 4 \, {\left(x - 1\right)} {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)}^{2} + 16 \, {\left(x - 1\right)} {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)} + {\left({\left(x - 1\right)} {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)}^{2} - 4 \, {\left(x - 1\right)} {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)}\right)} {\left(\sqrt{5} - 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)} - 64 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}^{\frac{1}{5}}}{64 \, {\left(x - 1\right)}}\right) - \frac{1}{4} \, {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)} \log\left(\frac{{\left(x - 1\right)} {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)}^{3} - 4 \, {\left(x - 1\right)} {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)}^{2} + 16 \, {\left(x - 1\right)} {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)} - 64 \, x + 64 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}^{\frac{1}{5}} + 64}{64 \, {\left(x - 1\right)}}\right) + \frac{1}{4} \, {\left(\sqrt{5} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} - 3\right)} {\left(\sqrt{5} - 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)} - \frac{3}{16} \, {\left(\sqrt{5} - 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)}^{2} + \frac{1}{2} \, \sqrt{5} + \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} - \frac{5}{2}} - 1\right)} \log\left(\frac{{\left(x - 1\right)} {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)} {\left(\sqrt{5} - 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)}^{2} + 4 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} - 3\right)} {\left(\sqrt{5} - 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)} - \frac{3}{16} \, {\left(\sqrt{5} - 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)}^{2} + \frac{1}{2} \, \sqrt{5} + \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} - \frac{5}{2}} {\left(x - 1\right)} {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)} {\left(\sqrt{5} - 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)} + {\left({\left(x - 1\right)} {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)}^{2} - 4 \, {\left(x - 1\right)} {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)}\right)} {\left(\sqrt{5} - 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)} + 128 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}^{\frac{1}{5}}}{64 \, {\left(x - 1\right)}}\right) + \frac{1}{4} \, {\left(\sqrt{5} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} - 3\right)} {\left(\sqrt{5} - 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)} - \frac{3}{16} \, {\left(\sqrt{5} - 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)}^{2} + \frac{1}{2} \, \sqrt{5} + \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} - \frac{5}{2}} - 1\right)} \log\left(\frac{{\left(x - 1\right)} {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)} {\left(\sqrt{5} - 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)}^{2} - 4 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} - 3\right)} {\left(\sqrt{5} - 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)} - \frac{3}{16} \, {\left(\sqrt{5} - 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)}^{2} + \frac{1}{2} \, \sqrt{5} + \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} - \frac{5}{2}} {\left(x - 1\right)} {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)} {\left(\sqrt{5} - 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)} + {\left({\left(x - 1\right)} {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)}^{2} - 4 \, {\left(x - 1\right)} {\left(\sqrt{5} + 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)}\right)} {\left(\sqrt{5} - 2 \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{5}{2}} + 1\right)} + 128 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}^{\frac{1}{5}}}{64 \, {\left(x - 1\right)}}\right) + \log\left(\frac{x + {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}^{\frac{1}{5}} - 1}{x - 1}\right)"," ",0,"-1/4*(sqrt(5) - 2*sqrt(1/2*sqrt(5) - 5/2) + 1)*log(-1/64*((x - 1)*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) + 1)^3 + (x - 1)*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) + 1)*(sqrt(5) - 2*sqrt(1/2*sqrt(5) - 5/2) + 1)^2 - 4*(x - 1)*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) + 1)^2 + 16*(x - 1)*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) + 1) + ((x - 1)*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) + 1)^2 - 4*(x - 1)*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) + 1))*(sqrt(5) - 2*sqrt(1/2*sqrt(5) - 5/2) + 1) - 64*(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)^(1/5))/(x - 1)) - 1/4*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) + 1)*log(1/64*((x - 1)*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) + 1)^3 - 4*(x - 1)*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) + 1)^2 + 16*(x - 1)*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) + 1) - 64*x + 64*(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)^(1/5) + 64)/(x - 1)) + 1/4*(sqrt(5) - 2*sqrt(-3/16*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) + 1)^2 - 1/8*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) - 3)*(sqrt(5) - 2*sqrt(1/2*sqrt(5) - 5/2) + 1) - 3/16*(sqrt(5) - 2*sqrt(1/2*sqrt(5) - 5/2) + 1)^2 + 1/2*sqrt(5) + sqrt(1/2*sqrt(5) - 5/2) - 5/2) - 1)*log(1/64*((x - 1)*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) + 1)*(sqrt(5) - 2*sqrt(1/2*sqrt(5) - 5/2) + 1)^2 + 4*sqrt(-3/16*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) + 1)^2 - 1/8*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) - 3)*(sqrt(5) - 2*sqrt(1/2*sqrt(5) - 5/2) + 1) - 3/16*(sqrt(5) - 2*sqrt(1/2*sqrt(5) - 5/2) + 1)^2 + 1/2*sqrt(5) + sqrt(1/2*sqrt(5) - 5/2) - 5/2)*(x - 1)*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) + 1)*(sqrt(5) - 2*sqrt(1/2*sqrt(5) - 5/2) + 1) + ((x - 1)*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) + 1)^2 - 4*(x - 1)*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) + 1))*(sqrt(5) - 2*sqrt(1/2*sqrt(5) - 5/2) + 1) + 128*(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)^(1/5))/(x - 1)) + 1/4*(sqrt(5) + 2*sqrt(-3/16*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) + 1)^2 - 1/8*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) - 3)*(sqrt(5) - 2*sqrt(1/2*sqrt(5) - 5/2) + 1) - 3/16*(sqrt(5) - 2*sqrt(1/2*sqrt(5) - 5/2) + 1)^2 + 1/2*sqrt(5) + sqrt(1/2*sqrt(5) - 5/2) - 5/2) - 1)*log(1/64*((x - 1)*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) + 1)*(sqrt(5) - 2*sqrt(1/2*sqrt(5) - 5/2) + 1)^2 - 4*sqrt(-3/16*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) + 1)^2 - 1/8*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) - 3)*(sqrt(5) - 2*sqrt(1/2*sqrt(5) - 5/2) + 1) - 3/16*(sqrt(5) - 2*sqrt(1/2*sqrt(5) - 5/2) + 1)^2 + 1/2*sqrt(5) + sqrt(1/2*sqrt(5) - 5/2) - 5/2)*(x - 1)*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) + 1)*(sqrt(5) - 2*sqrt(1/2*sqrt(5) - 5/2) + 1) + ((x - 1)*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) + 1)^2 - 4*(x - 1)*(sqrt(5) + 2*sqrt(1/2*sqrt(5) - 5/2) + 1))*(sqrt(5) - 2*sqrt(1/2*sqrt(5) - 5/2) + 1) + 128*(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)^(1/5))/(x - 1)) + log((x + (x^4 - 4*x^3 + 6*x^2 - 4*x + 1)^(1/5) - 1)/(x - 1))","B",0
2737,0,0,0,6.336420," ","integrate((x^2-x+1)/(x^2-1)/(x^4+x^2)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} {\left(x^{2} - x + 1\right)}}{x^{6} - x^{2}}, x\right)"," ",0,"integral((x^4 + x^2)^(2/3)*(x^2 - x + 1)/(x^6 - x^2), x)","F",0
2738,0,0,0,6.127103," ","integrate((x^2+x+1)/(x^2-1)/(x^4+x^2)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} {\left(x^{2} + x + 1\right)}}{x^{6} - x^{2}}, x\right)"," ",0,"integral((x^4 + x^2)^(2/3)*(x^2 + x + 1)/(x^6 - x^2), x)","F",0
2739,1,4897,0,5.703536," ","integrate((x^2-1)*(x^4+x^3-x^2-x+1)^(1/2)/x^2/(x^2+1),x, algorithm=""fricas"")","-\frac{8 \cdot 13^{\frac{3}{4}} \sqrt{2} x \sqrt{3 \, \sqrt{13} + 13} \arctan\left(-\frac{9973402820649333 \, x^{24} + 22127143477092732 \, x^{23} + 411425006050475352 \, x^{22} - 2674034968526173980 \, x^{21} - 8817595222945016430 \, x^{20} + 26775269173700401068 \, x^{19} + 78094051238357921208 \, x^{18} - 79698905838822826764 \, x^{17} - 288484945304365905381 \, x^{16} + 103539974542743456120 \, x^{15} + 564311426035174966512 \, x^{14} - 89471281890239169336 \, x^{13} - 696743417151333048900 \, x^{12} + 89471281890239169336 \, x^{11} + 564311426035174966512 \, x^{10} - 103539974542743456120 \, x^{9} - 288484945304365905381 \, x^{8} + 79698905838822826764 \, x^{7} + 78094051238357921208 \, x^{6} - 26775269173700401068 \, x^{5} - 8817595222945016430 \, x^{4} + 2674034968526173980 \, x^{3} + 411425006050475352 \, x^{2} + 975 \, \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(13^{\frac{3}{4}} {\left(\sqrt{13} \sqrt{2} {\left(35341242867 \, x^{22} + 1855733013342 \, x^{21} - 13065830234977 \, x^{20} - 13707953161500 \, x^{19} + 161237193602453 \, x^{18} + 131938117769830 \, x^{17} - 841354492514479 \, x^{16} - 943610658660240 \, x^{15} + 1815156449248878 \, x^{14} + 2328772665064508 \, x^{13} - 2454398966001146 \, x^{12} - 3055785341153960 \, x^{11} + 2454398966001146 \, x^{10} + 2328772665064508 \, x^{9} - 1815156449248878 \, x^{8} - 943610658660240 \, x^{7} + 841354492514479 \, x^{6} + 131938117769830 \, x^{5} - 161237193602453 \, x^{4} - 13707953161500 \, x^{3} + 13065830234977 \, x^{2} + 1855733013342 \, x - 35341242867\right)} + 13 \, \sqrt{2} {\left(27984641913 \, x^{22} - 681850618938 \, x^{21} + 1832470732861 \, x^{20} + 10480832872820 \, x^{19} - 25798153427169 \, x^{18} - 87720458521554 \, x^{17} + 119868804550803 \, x^{16} + 409807390513968 \, x^{15} - 171761161217974 \, x^{14} - 885623303420404 \, x^{13} + 139243488716306 \, x^{12} + 1121192318939832 \, x^{11} - 139243488716306 \, x^{10} - 885623303420404 \, x^{9} + 171761161217974 \, x^{8} + 409807390513968 \, x^{7} - 119868804550803 \, x^{6} - 87720458521554 \, x^{5} + 25798153427169 \, x^{4} + 10480832872820 \, x^{3} - 1832470732861 \, x^{2} - 681850618938 \, x - 27984641913\right)}\right)} + 52 \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} {\left(4145451651 \, x^{22} + 22790133663 \, x^{21} - 787396271270 \, x^{20} + 3268260459922 \, x^{19} + 2127235898078 \, x^{18} - 26388586645821 \, x^{17} + 4534478469577 \, x^{16} + 96402875532632 \, x^{15} - 39927895710530 \, x^{14} - 219325332502114 \, x^{13} + 73075426941692 \, x^{12} + 286730467695148 \, x^{11} - 73075426941692 \, x^{10} - 219325332502114 \, x^{9} + 39927895710530 \, x^{8} + 96402875532632 \, x^{7} - 4534478469577 \, x^{6} - 26388586645821 \, x^{5} - 2127235898078 \, x^{4} + 3268260459922 \, x^{3} + 787396271270 \, x^{2} + 22790133663 \, x - 4145451651\right)} + \sqrt{2} {\left(19518507459 \, x^{22} - 258433982565 \, x^{21} + 1268510129270 \, x^{20} - 4641107948794 \, x^{19} + 7873387874194 \, x^{18} + 42079083144127 \, x^{17} - 120347500997751 \, x^{16} - 207088711742488 \, x^{15} + 446369667432350 \, x^{14} + 582726984044198 \, x^{13} - 747970503528716 \, x^{12} - 801333993329116 \, x^{11} + 747970503528716 \, x^{10} + 582726984044198 \, x^{9} - 446369667432350 \, x^{8} - 207088711742488 \, x^{7} + 120347500997751 \, x^{6} + 42079083144127 \, x^{5} - 7873387874194 \, x^{4} - 4641107948794 \, x^{3} - 1268510129270 \, x^{2} - 258433982565 \, x - 19518507459\right)}\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 5 \, \sqrt{13} {\left(2 \, {\left(419409782458524 \, x^{22} - 734551553772036 \, x^{21} - 18129135798825480 \, x^{20} + 46342415724970040 \, x^{19} + 147660832091121960 \, x^{18} - 281814250716297780 \, x^{17} - 771997052407149868 \, x^{16} + 581202262545036704 \, x^{15} + 1981992402699630360 \, x^{14} - 560878898811974600 \, x^{13} - 2949154913394612208 \, x^{12} + 508183375662515280 \, x^{11} + 2949154913394612208 \, x^{10} - 560878898811974600 \, x^{9} - 1981992402699630360 \, x^{8} + 581202262545036704 \, x^{7} + 771997052407149868 \, x^{6} - 281814250716297780 \, x^{5} - 147660832091121960 \, x^{4} + 46342415724970040 \, x^{3} + 18129135798825480 \, x^{2} + \sqrt{13} {\left(114360666044625 \, x^{22} - 82159206468300 \, x^{21} - 5119203489735075 \, x^{20} + 9000368541541000 \, x^{19} + 50566728981273375 \, x^{18} - 68694538787756700 \, x^{17} - 265377087786179525 \, x^{16} + 188115112145740000 \, x^{15} + 743684297270684250 \, x^{14} - 260846258391823000 \, x^{13} - 1192582070334467150 \, x^{12} + 273495485225118000 \, x^{11} + 1192582070334467150 \, x^{10} - 260846258391823000 \, x^{9} - 743684297270684250 \, x^{8} + 188115112145740000 \, x^{7} + 265377087786179525 \, x^{6} - 68694538787756700 \, x^{5} - 50566728981273375 \, x^{4} + 9000368541541000 \, x^{3} + 5119203489735075 \, x^{2} + \sqrt{13} {\left(32174649863631 \, x^{22} - 54667700989668 \, x^{21} - 1161454885034925 \, x^{20} + 2231591213841080 \, x^{19} + 11317460228134065 \, x^{18} - 15147501756126036 \, x^{17} - 57433522492693531 \, x^{16} + 36165933376158752 \, x^{15} + 149046541912200870 \, x^{14} - 51483285976208840 \, x^{13} - 232497595537749778 \, x^{12} + 55228511827706448 \, x^{11} + 232497595537749778 \, x^{10} - 51483285976208840 \, x^{9} - 149046541912200870 \, x^{8} + 36165933376158752 \, x^{7} + 57433522492693531 \, x^{6} - 15147501756126036 \, x^{5} - 11317460228134065 \, x^{4} + 2231591213841080 \, x^{3} + 1161454885034925 \, x^{2} - 54667700989668 \, x - 32174649863631\right)} - 82159206468300 \, x - 114360666044625\right)} + 16900 \, \sqrt{13} {\left(6910217919 \, x^{22} - 14188512393 \, x^{21} - 264938196402 \, x^{20} + 560173342750 \, x^{19} + 2885410276890 \, x^{18} - 4195778936853 \, x^{17} - 16049843908931 \, x^{16} + 10659197774440 \, x^{15} + 43981621047990 \, x^{14} - 15468175661410 \, x^{13} - 70387829519228 \, x^{12} + 16724046063348 \, x^{11} + 70387829519228 \, x^{10} - 15468175661410 \, x^{9} - 43981621047990 \, x^{8} + 10659197774440 \, x^{7} + 16049843908931 \, x^{6} - 4195778936853 \, x^{5} - 2885410276890 \, x^{4} + 560173342750 \, x^{3} + 264938196402 \, x^{2} - 14188512393 \, x - 6910217919\right)} - 734551553772036 \, x - 419409782458524\right)} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} + {\left(13^{\frac{3}{4}} {\left(\sqrt{13} \sqrt{2} {\left(5064601110759 \, x^{24} - 15935521225248 \, x^{23} - 145953298037646 \, x^{22} + 442342162318472 \, x^{21} + 1509242233362130 \, x^{20} - 3824593137929864 \, x^{19} - 9272490241084918 \, x^{18} + 15231739690849728 \, x^{17} + 35123888634951257 \, x^{16} - 29158744370317408 \, x^{15} - 72121852990916732 \, x^{14} + 37093947378248880 \, x^{13} + 90527094861258716 \, x^{12} - 37093947378248880 \, x^{11} - 72121852990916732 \, x^{10} + 29158744370317408 \, x^{9} + 35123888634951257 \, x^{8} - 15231739690849728 \, x^{7} - 9272490241084918 \, x^{6} + 3824593137929864 \, x^{5} + 1509242233362130 \, x^{4} - 442342162318472 \, x^{3} - 145953298037646 \, x^{2} + 15935521225248 \, x + 5064601110759\right)} + 2 \, \sqrt{2} {\left(8344585217061 \, x^{24} + 22313480635683 \, x^{23} - 454941103887909 \, x^{22} - 29015155993837 \, x^{21} + 5263571461584220 \, x^{20} + 1350672090063169 \, x^{19} - 28025155569909697 \, x^{18} - 17323853348703663 \, x^{17} + 71709452405276003 \, x^{16} + 53329447307333918 \, x^{15} - 117861135465169178 \, x^{14} - 87340455501519330 \, x^{13} + 137540784460766264 \, x^{12} + 87340455501519330 \, x^{11} - 117861135465169178 \, x^{10} - 53329447307333918 \, x^{9} + 71709452405276003 \, x^{8} + 17323853348703663 \, x^{7} - 28025155569909697 \, x^{6} - 1350672090063169 \, x^{5} + 5263571461584220 \, x^{4} + 29015155993837 \, x^{3} - 454941103887909 \, x^{2} - 22313480635683 \, x + 8344585217061\right)}\right)} + 2 \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} {\left(8950902551613 \, x^{24} - 17420951995029 \, x^{23} - 280276398361365 \, x^{22} + 267465288044777 \, x^{21} + 3726162631678360 \, x^{20} - 556533136788845 \, x^{19} - 23463111563130721 \, x^{18} - 10788785991868263 \, x^{17} + 71350869932571899 \, x^{16} + 52559233428319022 \, x^{15} - 121657174574889866 \, x^{14} - 96889156840890966 \, x^{13} + 143212893636486752 \, x^{12} + 96889156840890966 \, x^{11} - 121657174574889866 \, x^{10} - 52559233428319022 \, x^{9} + 71350869932571899 \, x^{8} + 10788785991868263 \, x^{7} - 23463111563130721 \, x^{6} + 556533136788845 \, x^{5} + 3726162631678360 \, x^{4} - 267465288044777 \, x^{3} - 280276398361365 \, x^{2} + 17420951995029 \, x + 8950902551613\right)} + 13 \, \sqrt{2} {\left(2421742919211 \, x^{24} - 354297570363 \, x^{23} - 128501377823955 \, x^{22} + 245465593952119 \, x^{21} + 1223894974340720 \, x^{20} - 1990800605349715 \, x^{19} - 6408712012034087 \, x^{18} + 6584370631518039 \, x^{17} + 18374848734437053 \, x^{16} - 14112688088835566 \, x^{15} - 34459812164567302 \, x^{14} + 19949971913218998 \, x^{13} + 42245657417848144 \, x^{12} - 19949971913218998 \, x^{11} - 34459812164567302 \, x^{10} + 14112688088835566 \, x^{9} + 18374848734437053 \, x^{8} - 6584370631518039 \, x^{7} - 6408712012034087 \, x^{6} + 1990800605349715 \, x^{5} + 1223894974340720 \, x^{4} - 245465593952119 \, x^{3} - 128501377823955 \, x^{2} + 354297570363 \, x + 2421742919211\right)}\right)}\right)} \sqrt{3 \, \sqrt{13} + 13}\right)} \sqrt{\frac{52 \, x^{4} + 52 \, x^{3} - 13^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(\sqrt{13} \sqrt{2} {\left(x^{2} + 2 \, x - 1\right)} + \sqrt{2} {\left(5 \, x^{2} - 2 \, x - 5\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 52 \, x^{2} + \sqrt{13} {\left(17 \, x^{4} + 20 \, x^{3} - 26 \, x^{2} - 20 \, x + 17\right)} - 52 \, x + 52}{x^{4} + 2 \, x^{2} + 1}} + 12675 \, \sqrt{13} {\left(177838764957 \, x^{24} + 3282751894572 \, x^{23} - 12363069681816 \, x^{22} - 47326717811724 \, x^{21} + 72293202696770 \, x^{20} + 288662813058588 \, x^{19} + 55148659933960 \, x^{18} - 345299438215612 \, x^{17} - 172702607180557 \, x^{16} - 87498335053544 \, x^{15} - 32309816748656 \, x^{14} + 597073385926952 \, x^{13} + 221414678444636 \, x^{12} - 597073385926952 \, x^{11} - 32309816748656 \, x^{10} + 87498335053544 \, x^{9} - 172702607180557 \, x^{8} + 345299438215612 \, x^{7} + 55148659933960 \, x^{6} - 288662813058588 \, x^{5} + 72293202696770 \, x^{4} + 47326717811724 \, x^{3} - 12363069681816 \, x^{2} - 3282751894572 \, x + 177838764957\right)} + 50700 \, \sqrt{13} {\left(67029569739 \, x^{24} - 597586574235 \, x^{23} - 446407157383 \, x^{22} + 8646734742891 \, x^{21} + 6344564056940 \, x^{20} - 42154169717695 \, x^{19} - 55151396492523 \, x^{18} + 27807985037327 \, x^{17} + 50679508980909 \, x^{16} + 24831639280746 \, x^{15} + 52238368574322 \, x^{14} - 54374836791402 \, x^{13} - 120901075366344 \, x^{12} + 54374836791402 \, x^{11} + 52238368574322 \, x^{10} - 24831639280746 \, x^{9} + 50679508980909 \, x^{8} - 27807985037327 \, x^{7} - 55151396492523 \, x^{6} + 42154169717695 \, x^{5} + 6344564056940 \, x^{4} - 8646734742891 \, x^{3} - 446407157383 \, x^{2} + \sqrt{13} {\left(15948545679 \, x^{24} + 18290888373 \, x^{23} - 1587820781015 \, x^{22} + 3527145459591 \, x^{21} + 19118859600980 \, x^{20} - 33894946115435 \, x^{19} - 125610923441243 \, x^{18} + 109747557102911 \, x^{17} + 436323477217897 \, x^{16} - 158309885652374 \, x^{15} - 848740127958478 \, x^{14} + 153014850561262 \, x^{13} + 1047025675744616 \, x^{12} - 153014850561262 \, x^{11} - 848740127958478 \, x^{10} + 158309885652374 \, x^{9} + 436323477217897 \, x^{8} - 109747557102911 \, x^{7} - 125610923441243 \, x^{6} + 33894946115435 \, x^{5} + 19118859600980 \, x^{4} - 3527145459591 \, x^{3} - 1587820781015 \, x^{2} - 18290888373 \, x + 15948545679\right)} + 597586574235 \, x + 67029569739\right)} - 22127143477092732 \, x + 9973402820649333}{78 \, {\left(33216827121477 \, x^{24} - 2060726880350592 \, x^{23} + 1431075537830988 \, x^{22} + 83828069684567680 \, x^{21} - 145619826687334470 \, x^{20} - 798797730254046208 \, x^{19} + 1013303893827450652 \, x^{18} + 4124312348255593984 \, x^{17} - 2350198326509186389 \, x^{16} - 10945125280902753920 \, x^{15} + 2837136293429528728 \, x^{14} + 17083854766580127616 \, x^{13} - 2801179578979740500 \, x^{12} - 17083854766580127616 \, x^{11} + 2837136293429528728 \, x^{10} + 10945125280902753920 \, x^{9} - 2350198326509186389 \, x^{8} - 4124312348255593984 \, x^{7} + 1013303893827450652 \, x^{6} + 798797730254046208 \, x^{5} - 145619826687334470 \, x^{4} - 83828069684567680 \, x^{3} + 1431075537830988 \, x^{2} + 2060726880350592 \, x + 33216827121477\right)}}\right) + 8 \cdot 13^{\frac{3}{4}} \sqrt{2} x \sqrt{3 \, \sqrt{13} + 13} \arctan\left(\frac{9973402820649333 \, x^{24} + 22127143477092732 \, x^{23} + 411425006050475352 \, x^{22} - 2674034968526173980 \, x^{21} - 8817595222945016430 \, x^{20} + 26775269173700401068 \, x^{19} + 78094051238357921208 \, x^{18} - 79698905838822826764 \, x^{17} - 288484945304365905381 \, x^{16} + 103539974542743456120 \, x^{15} + 564311426035174966512 \, x^{14} - 89471281890239169336 \, x^{13} - 696743417151333048900 \, x^{12} + 89471281890239169336 \, x^{11} + 564311426035174966512 \, x^{10} - 103539974542743456120 \, x^{9} - 288484945304365905381 \, x^{8} + 79698905838822826764 \, x^{7} + 78094051238357921208 \, x^{6} - 26775269173700401068 \, x^{5} - 8817595222945016430 \, x^{4} + 2674034968526173980 \, x^{3} + 411425006050475352 \, x^{2} - 975 \, \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(13^{\frac{3}{4}} {\left(\sqrt{13} \sqrt{2} {\left(35341242867 \, x^{22} + 1855733013342 \, x^{21} - 13065830234977 \, x^{20} - 13707953161500 \, x^{19} + 161237193602453 \, x^{18} + 131938117769830 \, x^{17} - 841354492514479 \, x^{16} - 943610658660240 \, x^{15} + 1815156449248878 \, x^{14} + 2328772665064508 \, x^{13} - 2454398966001146 \, x^{12} - 3055785341153960 \, x^{11} + 2454398966001146 \, x^{10} + 2328772665064508 \, x^{9} - 1815156449248878 \, x^{8} - 943610658660240 \, x^{7} + 841354492514479 \, x^{6} + 131938117769830 \, x^{5} - 161237193602453 \, x^{4} - 13707953161500 \, x^{3} + 13065830234977 \, x^{2} + 1855733013342 \, x - 35341242867\right)} + 13 \, \sqrt{2} {\left(27984641913 \, x^{22} - 681850618938 \, x^{21} + 1832470732861 \, x^{20} + 10480832872820 \, x^{19} - 25798153427169 \, x^{18} - 87720458521554 \, x^{17} + 119868804550803 \, x^{16} + 409807390513968 \, x^{15} - 171761161217974 \, x^{14} - 885623303420404 \, x^{13} + 139243488716306 \, x^{12} + 1121192318939832 \, x^{11} - 139243488716306 \, x^{10} - 885623303420404 \, x^{9} + 171761161217974 \, x^{8} + 409807390513968 \, x^{7} - 119868804550803 \, x^{6} - 87720458521554 \, x^{5} + 25798153427169 \, x^{4} + 10480832872820 \, x^{3} - 1832470732861 \, x^{2} - 681850618938 \, x - 27984641913\right)}\right)} + 52 \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} {\left(4145451651 \, x^{22} + 22790133663 \, x^{21} - 787396271270 \, x^{20} + 3268260459922 \, x^{19} + 2127235898078 \, x^{18} - 26388586645821 \, x^{17} + 4534478469577 \, x^{16} + 96402875532632 \, x^{15} - 39927895710530 \, x^{14} - 219325332502114 \, x^{13} + 73075426941692 \, x^{12} + 286730467695148 \, x^{11} - 73075426941692 \, x^{10} - 219325332502114 \, x^{9} + 39927895710530 \, x^{8} + 96402875532632 \, x^{7} - 4534478469577 \, x^{6} - 26388586645821 \, x^{5} - 2127235898078 \, x^{4} + 3268260459922 \, x^{3} + 787396271270 \, x^{2} + 22790133663 \, x - 4145451651\right)} + \sqrt{2} {\left(19518507459 \, x^{22} - 258433982565 \, x^{21} + 1268510129270 \, x^{20} - 4641107948794 \, x^{19} + 7873387874194 \, x^{18} + 42079083144127 \, x^{17} - 120347500997751 \, x^{16} - 207088711742488 \, x^{15} + 446369667432350 \, x^{14} + 582726984044198 \, x^{13} - 747970503528716 \, x^{12} - 801333993329116 \, x^{11} + 747970503528716 \, x^{10} + 582726984044198 \, x^{9} - 446369667432350 \, x^{8} - 207088711742488 \, x^{7} + 120347500997751 \, x^{6} + 42079083144127 \, x^{5} - 7873387874194 \, x^{4} - 4641107948794 \, x^{3} - 1268510129270 \, x^{2} - 258433982565 \, x - 19518507459\right)}\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 5 \, \sqrt{13} {\left(2 \, {\left(419409782458524 \, x^{22} - 734551553772036 \, x^{21} - 18129135798825480 \, x^{20} + 46342415724970040 \, x^{19} + 147660832091121960 \, x^{18} - 281814250716297780 \, x^{17} - 771997052407149868 \, x^{16} + 581202262545036704 \, x^{15} + 1981992402699630360 \, x^{14} - 560878898811974600 \, x^{13} - 2949154913394612208 \, x^{12} + 508183375662515280 \, x^{11} + 2949154913394612208 \, x^{10} - 560878898811974600 \, x^{9} - 1981992402699630360 \, x^{8} + 581202262545036704 \, x^{7} + 771997052407149868 \, x^{6} - 281814250716297780 \, x^{5} - 147660832091121960 \, x^{4} + 46342415724970040 \, x^{3} + 18129135798825480 \, x^{2} + \sqrt{13} {\left(114360666044625 \, x^{22} - 82159206468300 \, x^{21} - 5119203489735075 \, x^{20} + 9000368541541000 \, x^{19} + 50566728981273375 \, x^{18} - 68694538787756700 \, x^{17} - 265377087786179525 \, x^{16} + 188115112145740000 \, x^{15} + 743684297270684250 \, x^{14} - 260846258391823000 \, x^{13} - 1192582070334467150 \, x^{12} + 273495485225118000 \, x^{11} + 1192582070334467150 \, x^{10} - 260846258391823000 \, x^{9} - 743684297270684250 \, x^{8} + 188115112145740000 \, x^{7} + 265377087786179525 \, x^{6} - 68694538787756700 \, x^{5} - 50566728981273375 \, x^{4} + 9000368541541000 \, x^{3} + 5119203489735075 \, x^{2} + \sqrt{13} {\left(32174649863631 \, x^{22} - 54667700989668 \, x^{21} - 1161454885034925 \, x^{20} + 2231591213841080 \, x^{19} + 11317460228134065 \, x^{18} - 15147501756126036 \, x^{17} - 57433522492693531 \, x^{16} + 36165933376158752 \, x^{15} + 149046541912200870 \, x^{14} - 51483285976208840 \, x^{13} - 232497595537749778 \, x^{12} + 55228511827706448 \, x^{11} + 232497595537749778 \, x^{10} - 51483285976208840 \, x^{9} - 149046541912200870 \, x^{8} + 36165933376158752 \, x^{7} + 57433522492693531 \, x^{6} - 15147501756126036 \, x^{5} - 11317460228134065 \, x^{4} + 2231591213841080 \, x^{3} + 1161454885034925 \, x^{2} - 54667700989668 \, x - 32174649863631\right)} - 82159206468300 \, x - 114360666044625\right)} + 16900 \, \sqrt{13} {\left(6910217919 \, x^{22} - 14188512393 \, x^{21} - 264938196402 \, x^{20} + 560173342750 \, x^{19} + 2885410276890 \, x^{18} - 4195778936853 \, x^{17} - 16049843908931 \, x^{16} + 10659197774440 \, x^{15} + 43981621047990 \, x^{14} - 15468175661410 \, x^{13} - 70387829519228 \, x^{12} + 16724046063348 \, x^{11} + 70387829519228 \, x^{10} - 15468175661410 \, x^{9} - 43981621047990 \, x^{8} + 10659197774440 \, x^{7} + 16049843908931 \, x^{6} - 4195778936853 \, x^{5} - 2885410276890 \, x^{4} + 560173342750 \, x^{3} + 264938196402 \, x^{2} - 14188512393 \, x - 6910217919\right)} - 734551553772036 \, x - 419409782458524\right)} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} - {\left(13^{\frac{3}{4}} {\left(\sqrt{13} \sqrt{2} {\left(5064601110759 \, x^{24} - 15935521225248 \, x^{23} - 145953298037646 \, x^{22} + 442342162318472 \, x^{21} + 1509242233362130 \, x^{20} - 3824593137929864 \, x^{19} - 9272490241084918 \, x^{18} + 15231739690849728 \, x^{17} + 35123888634951257 \, x^{16} - 29158744370317408 \, x^{15} - 72121852990916732 \, x^{14} + 37093947378248880 \, x^{13} + 90527094861258716 \, x^{12} - 37093947378248880 \, x^{11} - 72121852990916732 \, x^{10} + 29158744370317408 \, x^{9} + 35123888634951257 \, x^{8} - 15231739690849728 \, x^{7} - 9272490241084918 \, x^{6} + 3824593137929864 \, x^{5} + 1509242233362130 \, x^{4} - 442342162318472 \, x^{3} - 145953298037646 \, x^{2} + 15935521225248 \, x + 5064601110759\right)} + 2 \, \sqrt{2} {\left(8344585217061 \, x^{24} + 22313480635683 \, x^{23} - 454941103887909 \, x^{22} - 29015155993837 \, x^{21} + 5263571461584220 \, x^{20} + 1350672090063169 \, x^{19} - 28025155569909697 \, x^{18} - 17323853348703663 \, x^{17} + 71709452405276003 \, x^{16} + 53329447307333918 \, x^{15} - 117861135465169178 \, x^{14} - 87340455501519330 \, x^{13} + 137540784460766264 \, x^{12} + 87340455501519330 \, x^{11} - 117861135465169178 \, x^{10} - 53329447307333918 \, x^{9} + 71709452405276003 \, x^{8} + 17323853348703663 \, x^{7} - 28025155569909697 \, x^{6} - 1350672090063169 \, x^{5} + 5263571461584220 \, x^{4} + 29015155993837 \, x^{3} - 454941103887909 \, x^{2} - 22313480635683 \, x + 8344585217061\right)}\right)} + 2 \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} {\left(8950902551613 \, x^{24} - 17420951995029 \, x^{23} - 280276398361365 \, x^{22} + 267465288044777 \, x^{21} + 3726162631678360 \, x^{20} - 556533136788845 \, x^{19} - 23463111563130721 \, x^{18} - 10788785991868263 \, x^{17} + 71350869932571899 \, x^{16} + 52559233428319022 \, x^{15} - 121657174574889866 \, x^{14} - 96889156840890966 \, x^{13} + 143212893636486752 \, x^{12} + 96889156840890966 \, x^{11} - 121657174574889866 \, x^{10} - 52559233428319022 \, x^{9} + 71350869932571899 \, x^{8} + 10788785991868263 \, x^{7} - 23463111563130721 \, x^{6} + 556533136788845 \, x^{5} + 3726162631678360 \, x^{4} - 267465288044777 \, x^{3} - 280276398361365 \, x^{2} + 17420951995029 \, x + 8950902551613\right)} + 13 \, \sqrt{2} {\left(2421742919211 \, x^{24} - 354297570363 \, x^{23} - 128501377823955 \, x^{22} + 245465593952119 \, x^{21} + 1223894974340720 \, x^{20} - 1990800605349715 \, x^{19} - 6408712012034087 \, x^{18} + 6584370631518039 \, x^{17} + 18374848734437053 \, x^{16} - 14112688088835566 \, x^{15} - 34459812164567302 \, x^{14} + 19949971913218998 \, x^{13} + 42245657417848144 \, x^{12} - 19949971913218998 \, x^{11} - 34459812164567302 \, x^{10} + 14112688088835566 \, x^{9} + 18374848734437053 \, x^{8} - 6584370631518039 \, x^{7} - 6408712012034087 \, x^{6} + 1990800605349715 \, x^{5} + 1223894974340720 \, x^{4} - 245465593952119 \, x^{3} - 128501377823955 \, x^{2} + 354297570363 \, x + 2421742919211\right)}\right)}\right)} \sqrt{3 \, \sqrt{13} + 13}\right)} \sqrt{\frac{52 \, x^{4} + 52 \, x^{3} + 13^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(\sqrt{13} \sqrt{2} {\left(x^{2} + 2 \, x - 1\right)} + \sqrt{2} {\left(5 \, x^{2} - 2 \, x - 5\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 52 \, x^{2} + \sqrt{13} {\left(17 \, x^{4} + 20 \, x^{3} - 26 \, x^{2} - 20 \, x + 17\right)} - 52 \, x + 52}{x^{4} + 2 \, x^{2} + 1}} + 12675 \, \sqrt{13} {\left(177838764957 \, x^{24} + 3282751894572 \, x^{23} - 12363069681816 \, x^{22} - 47326717811724 \, x^{21} + 72293202696770 \, x^{20} + 288662813058588 \, x^{19} + 55148659933960 \, x^{18} - 345299438215612 \, x^{17} - 172702607180557 \, x^{16} - 87498335053544 \, x^{15} - 32309816748656 \, x^{14} + 597073385926952 \, x^{13} + 221414678444636 \, x^{12} - 597073385926952 \, x^{11} - 32309816748656 \, x^{10} + 87498335053544 \, x^{9} - 172702607180557 \, x^{8} + 345299438215612 \, x^{7} + 55148659933960 \, x^{6} - 288662813058588 \, x^{5} + 72293202696770 \, x^{4} + 47326717811724 \, x^{3} - 12363069681816 \, x^{2} - 3282751894572 \, x + 177838764957\right)} + 50700 \, \sqrt{13} {\left(67029569739 \, x^{24} - 597586574235 \, x^{23} - 446407157383 \, x^{22} + 8646734742891 \, x^{21} + 6344564056940 \, x^{20} - 42154169717695 \, x^{19} - 55151396492523 \, x^{18} + 27807985037327 \, x^{17} + 50679508980909 \, x^{16} + 24831639280746 \, x^{15} + 52238368574322 \, x^{14} - 54374836791402 \, x^{13} - 120901075366344 \, x^{12} + 54374836791402 \, x^{11} + 52238368574322 \, x^{10} - 24831639280746 \, x^{9} + 50679508980909 \, x^{8} - 27807985037327 \, x^{7} - 55151396492523 \, x^{6} + 42154169717695 \, x^{5} + 6344564056940 \, x^{4} - 8646734742891 \, x^{3} - 446407157383 \, x^{2} + \sqrt{13} {\left(15948545679 \, x^{24} + 18290888373 \, x^{23} - 1587820781015 \, x^{22} + 3527145459591 \, x^{21} + 19118859600980 \, x^{20} - 33894946115435 \, x^{19} - 125610923441243 \, x^{18} + 109747557102911 \, x^{17} + 436323477217897 \, x^{16} - 158309885652374 \, x^{15} - 848740127958478 \, x^{14} + 153014850561262 \, x^{13} + 1047025675744616 \, x^{12} - 153014850561262 \, x^{11} - 848740127958478 \, x^{10} + 158309885652374 \, x^{9} + 436323477217897 \, x^{8} - 109747557102911 \, x^{7} - 125610923441243 \, x^{6} + 33894946115435 \, x^{5} + 19118859600980 \, x^{4} - 3527145459591 \, x^{3} - 1587820781015 \, x^{2} - 18290888373 \, x + 15948545679\right)} + 597586574235 \, x + 67029569739\right)} - 22127143477092732 \, x + 9973402820649333}{78 \, {\left(33216827121477 \, x^{24} - 2060726880350592 \, x^{23} + 1431075537830988 \, x^{22} + 83828069684567680 \, x^{21} - 145619826687334470 \, x^{20} - 798797730254046208 \, x^{19} + 1013303893827450652 \, x^{18} + 4124312348255593984 \, x^{17} - 2350198326509186389 \, x^{16} - 10945125280902753920 \, x^{15} + 2837136293429528728 \, x^{14} + 17083854766580127616 \, x^{13} - 2801179578979740500 \, x^{12} - 17083854766580127616 \, x^{11} + 2837136293429528728 \, x^{10} + 10945125280902753920 \, x^{9} - 2350198326509186389 \, x^{8} - 4124312348255593984 \, x^{7} + 1013303893827450652 \, x^{6} + 798797730254046208 \, x^{5} - 145619826687334470 \, x^{4} - 83828069684567680 \, x^{3} + 1431075537830988 \, x^{2} + 2060726880350592 \, x + 33216827121477\right)}}\right) - 13^{\frac{1}{4}} {\left(3 \, \sqrt{13} \sqrt{2} x - 13 \, \sqrt{2} x\right)} \sqrt{3 \, \sqrt{13} + 13} \log\left(\frac{1300 \, {\left(52 \, x^{4} + 52 \, x^{3} + 13^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(\sqrt{13} \sqrt{2} {\left(x^{2} + 2 \, x - 1\right)} + \sqrt{2} {\left(5 \, x^{2} - 2 \, x - 5\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 52 \, x^{2} + \sqrt{13} {\left(17 \, x^{4} + 20 \, x^{3} - 26 \, x^{2} - 20 \, x + 17\right)} - 52 \, x + 52\right)}}{x^{4} + 2 \, x^{2} + 1}\right) + 13^{\frac{1}{4}} {\left(3 \, \sqrt{13} \sqrt{2} x - 13 \, \sqrt{2} x\right)} \sqrt{3 \, \sqrt{13} + 13} \log\left(\frac{1300 \, {\left(52 \, x^{4} + 52 \, x^{3} - 13^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(\sqrt{13} \sqrt{2} {\left(x^{2} + 2 \, x - 1\right)} + \sqrt{2} {\left(5 \, x^{2} - 2 \, x - 5\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 52 \, x^{2} + \sqrt{13} {\left(17 \, x^{4} + 20 \, x^{3} - 26 \, x^{2} - 20 \, x + 17\right)} - 52 \, x + 52\right)}}{x^{4} + 2 \, x^{2} + 1}\right) - 104 \, x \log\left(-\frac{2 \, x^{2} + x + 2 \, \sqrt{x^{4} + x^{3} - x^{2} - x + 1} - 2}{x}\right) - 208 \, \sqrt{x^{4} + x^{3} - x^{2} - x + 1}}{208 \, x}"," ",0,"-1/208*(8*13^(3/4)*sqrt(2)*x*sqrt(3*sqrt(13) + 13)*arctan(-1/78*(9973402820649333*x^24 + 22127143477092732*x^23 + 411425006050475352*x^22 - 2674034968526173980*x^21 - 8817595222945016430*x^20 + 26775269173700401068*x^19 + 78094051238357921208*x^18 - 79698905838822826764*x^17 - 288484945304365905381*x^16 + 103539974542743456120*x^15 + 564311426035174966512*x^14 - 89471281890239169336*x^13 - 696743417151333048900*x^12 + 89471281890239169336*x^11 + 564311426035174966512*x^10 - 103539974542743456120*x^9 - 288484945304365905381*x^8 + 79698905838822826764*x^7 + 78094051238357921208*x^6 - 26775269173700401068*x^5 - 8817595222945016430*x^4 + 2674034968526173980*x^3 + 411425006050475352*x^2 + 975*sqrt(x^4 + x^3 - x^2 - x + 1)*(13^(3/4)*(sqrt(13)*sqrt(2)*(35341242867*x^22 + 1855733013342*x^21 - 13065830234977*x^20 - 13707953161500*x^19 + 161237193602453*x^18 + 131938117769830*x^17 - 841354492514479*x^16 - 943610658660240*x^15 + 1815156449248878*x^14 + 2328772665064508*x^13 - 2454398966001146*x^12 - 3055785341153960*x^11 + 2454398966001146*x^10 + 2328772665064508*x^9 - 1815156449248878*x^8 - 943610658660240*x^7 + 841354492514479*x^6 + 131938117769830*x^5 - 161237193602453*x^4 - 13707953161500*x^3 + 13065830234977*x^2 + 1855733013342*x - 35341242867) + 13*sqrt(2)*(27984641913*x^22 - 681850618938*x^21 + 1832470732861*x^20 + 10480832872820*x^19 - 25798153427169*x^18 - 87720458521554*x^17 + 119868804550803*x^16 + 409807390513968*x^15 - 171761161217974*x^14 - 885623303420404*x^13 + 139243488716306*x^12 + 1121192318939832*x^11 - 139243488716306*x^10 - 885623303420404*x^9 + 171761161217974*x^8 + 409807390513968*x^7 - 119868804550803*x^6 - 87720458521554*x^5 + 25798153427169*x^4 + 10480832872820*x^3 - 1832470732861*x^2 - 681850618938*x - 27984641913)) + 52*13^(1/4)*(sqrt(13)*sqrt(2)*(4145451651*x^22 + 22790133663*x^21 - 787396271270*x^20 + 3268260459922*x^19 + 2127235898078*x^18 - 26388586645821*x^17 + 4534478469577*x^16 + 96402875532632*x^15 - 39927895710530*x^14 - 219325332502114*x^13 + 73075426941692*x^12 + 286730467695148*x^11 - 73075426941692*x^10 - 219325332502114*x^9 + 39927895710530*x^8 + 96402875532632*x^7 - 4534478469577*x^6 - 26388586645821*x^5 - 2127235898078*x^4 + 3268260459922*x^3 + 787396271270*x^2 + 22790133663*x - 4145451651) + sqrt(2)*(19518507459*x^22 - 258433982565*x^21 + 1268510129270*x^20 - 4641107948794*x^19 + 7873387874194*x^18 + 42079083144127*x^17 - 120347500997751*x^16 - 207088711742488*x^15 + 446369667432350*x^14 + 582726984044198*x^13 - 747970503528716*x^12 - 801333993329116*x^11 + 747970503528716*x^10 + 582726984044198*x^9 - 446369667432350*x^8 - 207088711742488*x^7 + 120347500997751*x^6 + 42079083144127*x^5 - 7873387874194*x^4 - 4641107948794*x^3 - 1268510129270*x^2 - 258433982565*x - 19518507459)))*sqrt(3*sqrt(13) + 13) - 5*sqrt(13)*(2*(419409782458524*x^22 - 734551553772036*x^21 - 18129135798825480*x^20 + 46342415724970040*x^19 + 147660832091121960*x^18 - 281814250716297780*x^17 - 771997052407149868*x^16 + 581202262545036704*x^15 + 1981992402699630360*x^14 - 560878898811974600*x^13 - 2949154913394612208*x^12 + 508183375662515280*x^11 + 2949154913394612208*x^10 - 560878898811974600*x^9 - 1981992402699630360*x^8 + 581202262545036704*x^7 + 771997052407149868*x^6 - 281814250716297780*x^5 - 147660832091121960*x^4 + 46342415724970040*x^3 + 18129135798825480*x^2 + sqrt(13)*(114360666044625*x^22 - 82159206468300*x^21 - 5119203489735075*x^20 + 9000368541541000*x^19 + 50566728981273375*x^18 - 68694538787756700*x^17 - 265377087786179525*x^16 + 188115112145740000*x^15 + 743684297270684250*x^14 - 260846258391823000*x^13 - 1192582070334467150*x^12 + 273495485225118000*x^11 + 1192582070334467150*x^10 - 260846258391823000*x^9 - 743684297270684250*x^8 + 188115112145740000*x^7 + 265377087786179525*x^6 - 68694538787756700*x^5 - 50566728981273375*x^4 + 9000368541541000*x^3 + 5119203489735075*x^2 + sqrt(13)*(32174649863631*x^22 - 54667700989668*x^21 - 1161454885034925*x^20 + 2231591213841080*x^19 + 11317460228134065*x^18 - 15147501756126036*x^17 - 57433522492693531*x^16 + 36165933376158752*x^15 + 149046541912200870*x^14 - 51483285976208840*x^13 - 232497595537749778*x^12 + 55228511827706448*x^11 + 232497595537749778*x^10 - 51483285976208840*x^9 - 149046541912200870*x^8 + 36165933376158752*x^7 + 57433522492693531*x^6 - 15147501756126036*x^5 - 11317460228134065*x^4 + 2231591213841080*x^3 + 1161454885034925*x^2 - 54667700989668*x - 32174649863631) - 82159206468300*x - 114360666044625) + 16900*sqrt(13)*(6910217919*x^22 - 14188512393*x^21 - 264938196402*x^20 + 560173342750*x^19 + 2885410276890*x^18 - 4195778936853*x^17 - 16049843908931*x^16 + 10659197774440*x^15 + 43981621047990*x^14 - 15468175661410*x^13 - 70387829519228*x^12 + 16724046063348*x^11 + 70387829519228*x^10 - 15468175661410*x^9 - 43981621047990*x^8 + 10659197774440*x^7 + 16049843908931*x^6 - 4195778936853*x^5 - 2885410276890*x^4 + 560173342750*x^3 + 264938196402*x^2 - 14188512393*x - 6910217919) - 734551553772036*x - 419409782458524)*sqrt(x^4 + x^3 - x^2 - x + 1) + (13^(3/4)*(sqrt(13)*sqrt(2)*(5064601110759*x^24 - 15935521225248*x^23 - 145953298037646*x^22 + 442342162318472*x^21 + 1509242233362130*x^20 - 3824593137929864*x^19 - 9272490241084918*x^18 + 15231739690849728*x^17 + 35123888634951257*x^16 - 29158744370317408*x^15 - 72121852990916732*x^14 + 37093947378248880*x^13 + 90527094861258716*x^12 - 37093947378248880*x^11 - 72121852990916732*x^10 + 29158744370317408*x^9 + 35123888634951257*x^8 - 15231739690849728*x^7 - 9272490241084918*x^6 + 3824593137929864*x^5 + 1509242233362130*x^4 - 442342162318472*x^3 - 145953298037646*x^2 + 15935521225248*x + 5064601110759) + 2*sqrt(2)*(8344585217061*x^24 + 22313480635683*x^23 - 454941103887909*x^22 - 29015155993837*x^21 + 5263571461584220*x^20 + 1350672090063169*x^19 - 28025155569909697*x^18 - 17323853348703663*x^17 + 71709452405276003*x^16 + 53329447307333918*x^15 - 117861135465169178*x^14 - 87340455501519330*x^13 + 137540784460766264*x^12 + 87340455501519330*x^11 - 117861135465169178*x^10 - 53329447307333918*x^9 + 71709452405276003*x^8 + 17323853348703663*x^7 - 28025155569909697*x^6 - 1350672090063169*x^5 + 5263571461584220*x^4 + 29015155993837*x^3 - 454941103887909*x^2 - 22313480635683*x + 8344585217061)) + 2*13^(1/4)*(sqrt(13)*sqrt(2)*(8950902551613*x^24 - 17420951995029*x^23 - 280276398361365*x^22 + 267465288044777*x^21 + 3726162631678360*x^20 - 556533136788845*x^19 - 23463111563130721*x^18 - 10788785991868263*x^17 + 71350869932571899*x^16 + 52559233428319022*x^15 - 121657174574889866*x^14 - 96889156840890966*x^13 + 143212893636486752*x^12 + 96889156840890966*x^11 - 121657174574889866*x^10 - 52559233428319022*x^9 + 71350869932571899*x^8 + 10788785991868263*x^7 - 23463111563130721*x^6 + 556533136788845*x^5 + 3726162631678360*x^4 - 267465288044777*x^3 - 280276398361365*x^2 + 17420951995029*x + 8950902551613) + 13*sqrt(2)*(2421742919211*x^24 - 354297570363*x^23 - 128501377823955*x^22 + 245465593952119*x^21 + 1223894974340720*x^20 - 1990800605349715*x^19 - 6408712012034087*x^18 + 6584370631518039*x^17 + 18374848734437053*x^16 - 14112688088835566*x^15 - 34459812164567302*x^14 + 19949971913218998*x^13 + 42245657417848144*x^12 - 19949971913218998*x^11 - 34459812164567302*x^10 + 14112688088835566*x^9 + 18374848734437053*x^8 - 6584370631518039*x^7 - 6408712012034087*x^6 + 1990800605349715*x^5 + 1223894974340720*x^4 - 245465593952119*x^3 - 128501377823955*x^2 + 354297570363*x + 2421742919211)))*sqrt(3*sqrt(13) + 13))*sqrt((52*x^4 + 52*x^3 - 13^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(sqrt(13)*sqrt(2)*(x^2 + 2*x - 1) + sqrt(2)*(5*x^2 - 2*x - 5))*sqrt(3*sqrt(13) + 13) - 52*x^2 + sqrt(13)*(17*x^4 + 20*x^3 - 26*x^2 - 20*x + 17) - 52*x + 52)/(x^4 + 2*x^2 + 1)) + 12675*sqrt(13)*(177838764957*x^24 + 3282751894572*x^23 - 12363069681816*x^22 - 47326717811724*x^21 + 72293202696770*x^20 + 288662813058588*x^19 + 55148659933960*x^18 - 345299438215612*x^17 - 172702607180557*x^16 - 87498335053544*x^15 - 32309816748656*x^14 + 597073385926952*x^13 + 221414678444636*x^12 - 597073385926952*x^11 - 32309816748656*x^10 + 87498335053544*x^9 - 172702607180557*x^8 + 345299438215612*x^7 + 55148659933960*x^6 - 288662813058588*x^5 + 72293202696770*x^4 + 47326717811724*x^3 - 12363069681816*x^2 - 3282751894572*x + 177838764957) + 50700*sqrt(13)*(67029569739*x^24 - 597586574235*x^23 - 446407157383*x^22 + 8646734742891*x^21 + 6344564056940*x^20 - 42154169717695*x^19 - 55151396492523*x^18 + 27807985037327*x^17 + 50679508980909*x^16 + 24831639280746*x^15 + 52238368574322*x^14 - 54374836791402*x^13 - 120901075366344*x^12 + 54374836791402*x^11 + 52238368574322*x^10 - 24831639280746*x^9 + 50679508980909*x^8 - 27807985037327*x^7 - 55151396492523*x^6 + 42154169717695*x^5 + 6344564056940*x^4 - 8646734742891*x^3 - 446407157383*x^2 + sqrt(13)*(15948545679*x^24 + 18290888373*x^23 - 1587820781015*x^22 + 3527145459591*x^21 + 19118859600980*x^20 - 33894946115435*x^19 - 125610923441243*x^18 + 109747557102911*x^17 + 436323477217897*x^16 - 158309885652374*x^15 - 848740127958478*x^14 + 153014850561262*x^13 + 1047025675744616*x^12 - 153014850561262*x^11 - 848740127958478*x^10 + 158309885652374*x^9 + 436323477217897*x^8 - 109747557102911*x^7 - 125610923441243*x^6 + 33894946115435*x^5 + 19118859600980*x^4 - 3527145459591*x^3 - 1587820781015*x^2 - 18290888373*x + 15948545679) + 597586574235*x + 67029569739) - 22127143477092732*x + 9973402820649333)/(33216827121477*x^24 - 2060726880350592*x^23 + 1431075537830988*x^22 + 83828069684567680*x^21 - 145619826687334470*x^20 - 798797730254046208*x^19 + 1013303893827450652*x^18 + 4124312348255593984*x^17 - 2350198326509186389*x^16 - 10945125280902753920*x^15 + 2837136293429528728*x^14 + 17083854766580127616*x^13 - 2801179578979740500*x^12 - 17083854766580127616*x^11 + 2837136293429528728*x^10 + 10945125280902753920*x^9 - 2350198326509186389*x^8 - 4124312348255593984*x^7 + 1013303893827450652*x^6 + 798797730254046208*x^5 - 145619826687334470*x^4 - 83828069684567680*x^3 + 1431075537830988*x^2 + 2060726880350592*x + 33216827121477)) + 8*13^(3/4)*sqrt(2)*x*sqrt(3*sqrt(13) + 13)*arctan(1/78*(9973402820649333*x^24 + 22127143477092732*x^23 + 411425006050475352*x^22 - 2674034968526173980*x^21 - 8817595222945016430*x^20 + 26775269173700401068*x^19 + 78094051238357921208*x^18 - 79698905838822826764*x^17 - 288484945304365905381*x^16 + 103539974542743456120*x^15 + 564311426035174966512*x^14 - 89471281890239169336*x^13 - 696743417151333048900*x^12 + 89471281890239169336*x^11 + 564311426035174966512*x^10 - 103539974542743456120*x^9 - 288484945304365905381*x^8 + 79698905838822826764*x^7 + 78094051238357921208*x^6 - 26775269173700401068*x^5 - 8817595222945016430*x^4 + 2674034968526173980*x^3 + 411425006050475352*x^2 - 975*sqrt(x^4 + x^3 - x^2 - x + 1)*(13^(3/4)*(sqrt(13)*sqrt(2)*(35341242867*x^22 + 1855733013342*x^21 - 13065830234977*x^20 - 13707953161500*x^19 + 161237193602453*x^18 + 131938117769830*x^17 - 841354492514479*x^16 - 943610658660240*x^15 + 1815156449248878*x^14 + 2328772665064508*x^13 - 2454398966001146*x^12 - 3055785341153960*x^11 + 2454398966001146*x^10 + 2328772665064508*x^9 - 1815156449248878*x^8 - 943610658660240*x^7 + 841354492514479*x^6 + 131938117769830*x^5 - 161237193602453*x^4 - 13707953161500*x^3 + 13065830234977*x^2 + 1855733013342*x - 35341242867) + 13*sqrt(2)*(27984641913*x^22 - 681850618938*x^21 + 1832470732861*x^20 + 10480832872820*x^19 - 25798153427169*x^18 - 87720458521554*x^17 + 119868804550803*x^16 + 409807390513968*x^15 - 171761161217974*x^14 - 885623303420404*x^13 + 139243488716306*x^12 + 1121192318939832*x^11 - 139243488716306*x^10 - 885623303420404*x^9 + 171761161217974*x^8 + 409807390513968*x^7 - 119868804550803*x^6 - 87720458521554*x^5 + 25798153427169*x^4 + 10480832872820*x^3 - 1832470732861*x^2 - 681850618938*x - 27984641913)) + 52*13^(1/4)*(sqrt(13)*sqrt(2)*(4145451651*x^22 + 22790133663*x^21 - 787396271270*x^20 + 3268260459922*x^19 + 2127235898078*x^18 - 26388586645821*x^17 + 4534478469577*x^16 + 96402875532632*x^15 - 39927895710530*x^14 - 219325332502114*x^13 + 73075426941692*x^12 + 286730467695148*x^11 - 73075426941692*x^10 - 219325332502114*x^9 + 39927895710530*x^8 + 96402875532632*x^7 - 4534478469577*x^6 - 26388586645821*x^5 - 2127235898078*x^4 + 3268260459922*x^3 + 787396271270*x^2 + 22790133663*x - 4145451651) + sqrt(2)*(19518507459*x^22 - 258433982565*x^21 + 1268510129270*x^20 - 4641107948794*x^19 + 7873387874194*x^18 + 42079083144127*x^17 - 120347500997751*x^16 - 207088711742488*x^15 + 446369667432350*x^14 + 582726984044198*x^13 - 747970503528716*x^12 - 801333993329116*x^11 + 747970503528716*x^10 + 582726984044198*x^9 - 446369667432350*x^8 - 207088711742488*x^7 + 120347500997751*x^6 + 42079083144127*x^5 - 7873387874194*x^4 - 4641107948794*x^3 - 1268510129270*x^2 - 258433982565*x - 19518507459)))*sqrt(3*sqrt(13) + 13) - 5*sqrt(13)*(2*(419409782458524*x^22 - 734551553772036*x^21 - 18129135798825480*x^20 + 46342415724970040*x^19 + 147660832091121960*x^18 - 281814250716297780*x^17 - 771997052407149868*x^16 + 581202262545036704*x^15 + 1981992402699630360*x^14 - 560878898811974600*x^13 - 2949154913394612208*x^12 + 508183375662515280*x^11 + 2949154913394612208*x^10 - 560878898811974600*x^9 - 1981992402699630360*x^8 + 581202262545036704*x^7 + 771997052407149868*x^6 - 281814250716297780*x^5 - 147660832091121960*x^4 + 46342415724970040*x^3 + 18129135798825480*x^2 + sqrt(13)*(114360666044625*x^22 - 82159206468300*x^21 - 5119203489735075*x^20 + 9000368541541000*x^19 + 50566728981273375*x^18 - 68694538787756700*x^17 - 265377087786179525*x^16 + 188115112145740000*x^15 + 743684297270684250*x^14 - 260846258391823000*x^13 - 1192582070334467150*x^12 + 273495485225118000*x^11 + 1192582070334467150*x^10 - 260846258391823000*x^9 - 743684297270684250*x^8 + 188115112145740000*x^7 + 265377087786179525*x^6 - 68694538787756700*x^5 - 50566728981273375*x^4 + 9000368541541000*x^3 + 5119203489735075*x^2 + sqrt(13)*(32174649863631*x^22 - 54667700989668*x^21 - 1161454885034925*x^20 + 2231591213841080*x^19 + 11317460228134065*x^18 - 15147501756126036*x^17 - 57433522492693531*x^16 + 36165933376158752*x^15 + 149046541912200870*x^14 - 51483285976208840*x^13 - 232497595537749778*x^12 + 55228511827706448*x^11 + 232497595537749778*x^10 - 51483285976208840*x^9 - 149046541912200870*x^8 + 36165933376158752*x^7 + 57433522492693531*x^6 - 15147501756126036*x^5 - 11317460228134065*x^4 + 2231591213841080*x^3 + 1161454885034925*x^2 - 54667700989668*x - 32174649863631) - 82159206468300*x - 114360666044625) + 16900*sqrt(13)*(6910217919*x^22 - 14188512393*x^21 - 264938196402*x^20 + 560173342750*x^19 + 2885410276890*x^18 - 4195778936853*x^17 - 16049843908931*x^16 + 10659197774440*x^15 + 43981621047990*x^14 - 15468175661410*x^13 - 70387829519228*x^12 + 16724046063348*x^11 + 70387829519228*x^10 - 15468175661410*x^9 - 43981621047990*x^8 + 10659197774440*x^7 + 16049843908931*x^6 - 4195778936853*x^5 - 2885410276890*x^4 + 560173342750*x^3 + 264938196402*x^2 - 14188512393*x - 6910217919) - 734551553772036*x - 419409782458524)*sqrt(x^4 + x^3 - x^2 - x + 1) - (13^(3/4)*(sqrt(13)*sqrt(2)*(5064601110759*x^24 - 15935521225248*x^23 - 145953298037646*x^22 + 442342162318472*x^21 + 1509242233362130*x^20 - 3824593137929864*x^19 - 9272490241084918*x^18 + 15231739690849728*x^17 + 35123888634951257*x^16 - 29158744370317408*x^15 - 72121852990916732*x^14 + 37093947378248880*x^13 + 90527094861258716*x^12 - 37093947378248880*x^11 - 72121852990916732*x^10 + 29158744370317408*x^9 + 35123888634951257*x^8 - 15231739690849728*x^7 - 9272490241084918*x^6 + 3824593137929864*x^5 + 1509242233362130*x^4 - 442342162318472*x^3 - 145953298037646*x^2 + 15935521225248*x + 5064601110759) + 2*sqrt(2)*(8344585217061*x^24 + 22313480635683*x^23 - 454941103887909*x^22 - 29015155993837*x^21 + 5263571461584220*x^20 + 1350672090063169*x^19 - 28025155569909697*x^18 - 17323853348703663*x^17 + 71709452405276003*x^16 + 53329447307333918*x^15 - 117861135465169178*x^14 - 87340455501519330*x^13 + 137540784460766264*x^12 + 87340455501519330*x^11 - 117861135465169178*x^10 - 53329447307333918*x^9 + 71709452405276003*x^8 + 17323853348703663*x^7 - 28025155569909697*x^6 - 1350672090063169*x^5 + 5263571461584220*x^4 + 29015155993837*x^3 - 454941103887909*x^2 - 22313480635683*x + 8344585217061)) + 2*13^(1/4)*(sqrt(13)*sqrt(2)*(8950902551613*x^24 - 17420951995029*x^23 - 280276398361365*x^22 + 267465288044777*x^21 + 3726162631678360*x^20 - 556533136788845*x^19 - 23463111563130721*x^18 - 10788785991868263*x^17 + 71350869932571899*x^16 + 52559233428319022*x^15 - 121657174574889866*x^14 - 96889156840890966*x^13 + 143212893636486752*x^12 + 96889156840890966*x^11 - 121657174574889866*x^10 - 52559233428319022*x^9 + 71350869932571899*x^8 + 10788785991868263*x^7 - 23463111563130721*x^6 + 556533136788845*x^5 + 3726162631678360*x^4 - 267465288044777*x^3 - 280276398361365*x^2 + 17420951995029*x + 8950902551613) + 13*sqrt(2)*(2421742919211*x^24 - 354297570363*x^23 - 128501377823955*x^22 + 245465593952119*x^21 + 1223894974340720*x^20 - 1990800605349715*x^19 - 6408712012034087*x^18 + 6584370631518039*x^17 + 18374848734437053*x^16 - 14112688088835566*x^15 - 34459812164567302*x^14 + 19949971913218998*x^13 + 42245657417848144*x^12 - 19949971913218998*x^11 - 34459812164567302*x^10 + 14112688088835566*x^9 + 18374848734437053*x^8 - 6584370631518039*x^7 - 6408712012034087*x^6 + 1990800605349715*x^5 + 1223894974340720*x^4 - 245465593952119*x^3 - 128501377823955*x^2 + 354297570363*x + 2421742919211)))*sqrt(3*sqrt(13) + 13))*sqrt((52*x^4 + 52*x^3 + 13^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(sqrt(13)*sqrt(2)*(x^2 + 2*x - 1) + sqrt(2)*(5*x^2 - 2*x - 5))*sqrt(3*sqrt(13) + 13) - 52*x^2 + sqrt(13)*(17*x^4 + 20*x^3 - 26*x^2 - 20*x + 17) - 52*x + 52)/(x^4 + 2*x^2 + 1)) + 12675*sqrt(13)*(177838764957*x^24 + 3282751894572*x^23 - 12363069681816*x^22 - 47326717811724*x^21 + 72293202696770*x^20 + 288662813058588*x^19 + 55148659933960*x^18 - 345299438215612*x^17 - 172702607180557*x^16 - 87498335053544*x^15 - 32309816748656*x^14 + 597073385926952*x^13 + 221414678444636*x^12 - 597073385926952*x^11 - 32309816748656*x^10 + 87498335053544*x^9 - 172702607180557*x^8 + 345299438215612*x^7 + 55148659933960*x^6 - 288662813058588*x^5 + 72293202696770*x^4 + 47326717811724*x^3 - 12363069681816*x^2 - 3282751894572*x + 177838764957) + 50700*sqrt(13)*(67029569739*x^24 - 597586574235*x^23 - 446407157383*x^22 + 8646734742891*x^21 + 6344564056940*x^20 - 42154169717695*x^19 - 55151396492523*x^18 + 27807985037327*x^17 + 50679508980909*x^16 + 24831639280746*x^15 + 52238368574322*x^14 - 54374836791402*x^13 - 120901075366344*x^12 + 54374836791402*x^11 + 52238368574322*x^10 - 24831639280746*x^9 + 50679508980909*x^8 - 27807985037327*x^7 - 55151396492523*x^6 + 42154169717695*x^5 + 6344564056940*x^4 - 8646734742891*x^3 - 446407157383*x^2 + sqrt(13)*(15948545679*x^24 + 18290888373*x^23 - 1587820781015*x^22 + 3527145459591*x^21 + 19118859600980*x^20 - 33894946115435*x^19 - 125610923441243*x^18 + 109747557102911*x^17 + 436323477217897*x^16 - 158309885652374*x^15 - 848740127958478*x^14 + 153014850561262*x^13 + 1047025675744616*x^12 - 153014850561262*x^11 - 848740127958478*x^10 + 158309885652374*x^9 + 436323477217897*x^8 - 109747557102911*x^7 - 125610923441243*x^6 + 33894946115435*x^5 + 19118859600980*x^4 - 3527145459591*x^3 - 1587820781015*x^2 - 18290888373*x + 15948545679) + 597586574235*x + 67029569739) - 22127143477092732*x + 9973402820649333)/(33216827121477*x^24 - 2060726880350592*x^23 + 1431075537830988*x^22 + 83828069684567680*x^21 - 145619826687334470*x^20 - 798797730254046208*x^19 + 1013303893827450652*x^18 + 4124312348255593984*x^17 - 2350198326509186389*x^16 - 10945125280902753920*x^15 + 2837136293429528728*x^14 + 17083854766580127616*x^13 - 2801179578979740500*x^12 - 17083854766580127616*x^11 + 2837136293429528728*x^10 + 10945125280902753920*x^9 - 2350198326509186389*x^8 - 4124312348255593984*x^7 + 1013303893827450652*x^6 + 798797730254046208*x^5 - 145619826687334470*x^4 - 83828069684567680*x^3 + 1431075537830988*x^2 + 2060726880350592*x + 33216827121477)) - 13^(1/4)*(3*sqrt(13)*sqrt(2)*x - 13*sqrt(2)*x)*sqrt(3*sqrt(13) + 13)*log(1300*(52*x^4 + 52*x^3 + 13^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(sqrt(13)*sqrt(2)*(x^2 + 2*x - 1) + sqrt(2)*(5*x^2 - 2*x - 5))*sqrt(3*sqrt(13) + 13) - 52*x^2 + sqrt(13)*(17*x^4 + 20*x^3 - 26*x^2 - 20*x + 17) - 52*x + 52)/(x^4 + 2*x^2 + 1)) + 13^(1/4)*(3*sqrt(13)*sqrt(2)*x - 13*sqrt(2)*x)*sqrt(3*sqrt(13) + 13)*log(1300*(52*x^4 + 52*x^3 - 13^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(sqrt(13)*sqrt(2)*(x^2 + 2*x - 1) + sqrt(2)*(5*x^2 - 2*x - 5))*sqrt(3*sqrt(13) + 13) - 52*x^2 + sqrt(13)*(17*x^4 + 20*x^3 - 26*x^2 - 20*x + 17) - 52*x + 52)/(x^4 + 2*x^2 + 1)) - 104*x*log(-(2*x^2 + x + 2*sqrt(x^4 + x^3 - x^2 - x + 1) - 2)/x) - 208*sqrt(x^4 + x^3 - x^2 - x + 1))/x","B",0
2740,1,4897,0,5.722419," ","integrate((x^2-1)*(x^4+x^3-x^2-x+1)^(1/2)/x^2/(x^2+1),x, algorithm=""fricas"")","-\frac{8 \cdot 13^{\frac{3}{4}} \sqrt{2} x \sqrt{3 \, \sqrt{13} + 13} \arctan\left(-\frac{9973402820649333 \, x^{24} + 22127143477092732 \, x^{23} + 411425006050475352 \, x^{22} - 2674034968526173980 \, x^{21} - 8817595222945016430 \, x^{20} + 26775269173700401068 \, x^{19} + 78094051238357921208 \, x^{18} - 79698905838822826764 \, x^{17} - 288484945304365905381 \, x^{16} + 103539974542743456120 \, x^{15} + 564311426035174966512 \, x^{14} - 89471281890239169336 \, x^{13} - 696743417151333048900 \, x^{12} + 89471281890239169336 \, x^{11} + 564311426035174966512 \, x^{10} - 103539974542743456120 \, x^{9} - 288484945304365905381 \, x^{8} + 79698905838822826764 \, x^{7} + 78094051238357921208 \, x^{6} - 26775269173700401068 \, x^{5} - 8817595222945016430 \, x^{4} + 2674034968526173980 \, x^{3} + 411425006050475352 \, x^{2} + 975 \, \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(13^{\frac{3}{4}} {\left(\sqrt{13} \sqrt{2} {\left(35341242867 \, x^{22} + 1855733013342 \, x^{21} - 13065830234977 \, x^{20} - 13707953161500 \, x^{19} + 161237193602453 \, x^{18} + 131938117769830 \, x^{17} - 841354492514479 \, x^{16} - 943610658660240 \, x^{15} + 1815156449248878 \, x^{14} + 2328772665064508 \, x^{13} - 2454398966001146 \, x^{12} - 3055785341153960 \, x^{11} + 2454398966001146 \, x^{10} + 2328772665064508 \, x^{9} - 1815156449248878 \, x^{8} - 943610658660240 \, x^{7} + 841354492514479 \, x^{6} + 131938117769830 \, x^{5} - 161237193602453 \, x^{4} - 13707953161500 \, x^{3} + 13065830234977 \, x^{2} + 1855733013342 \, x - 35341242867\right)} + 13 \, \sqrt{2} {\left(27984641913 \, x^{22} - 681850618938 \, x^{21} + 1832470732861 \, x^{20} + 10480832872820 \, x^{19} - 25798153427169 \, x^{18} - 87720458521554 \, x^{17} + 119868804550803 \, x^{16} + 409807390513968 \, x^{15} - 171761161217974 \, x^{14} - 885623303420404 \, x^{13} + 139243488716306 \, x^{12} + 1121192318939832 \, x^{11} - 139243488716306 \, x^{10} - 885623303420404 \, x^{9} + 171761161217974 \, x^{8} + 409807390513968 \, x^{7} - 119868804550803 \, x^{6} - 87720458521554 \, x^{5} + 25798153427169 \, x^{4} + 10480832872820 \, x^{3} - 1832470732861 \, x^{2} - 681850618938 \, x - 27984641913\right)}\right)} + 52 \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} {\left(4145451651 \, x^{22} + 22790133663 \, x^{21} - 787396271270 \, x^{20} + 3268260459922 \, x^{19} + 2127235898078 \, x^{18} - 26388586645821 \, x^{17} + 4534478469577 \, x^{16} + 96402875532632 \, x^{15} - 39927895710530 \, x^{14} - 219325332502114 \, x^{13} + 73075426941692 \, x^{12} + 286730467695148 \, x^{11} - 73075426941692 \, x^{10} - 219325332502114 \, x^{9} + 39927895710530 \, x^{8} + 96402875532632 \, x^{7} - 4534478469577 \, x^{6} - 26388586645821 \, x^{5} - 2127235898078 \, x^{4} + 3268260459922 \, x^{3} + 787396271270 \, x^{2} + 22790133663 \, x - 4145451651\right)} + \sqrt{2} {\left(19518507459 \, x^{22} - 258433982565 \, x^{21} + 1268510129270 \, x^{20} - 4641107948794 \, x^{19} + 7873387874194 \, x^{18} + 42079083144127 \, x^{17} - 120347500997751 \, x^{16} - 207088711742488 \, x^{15} + 446369667432350 \, x^{14} + 582726984044198 \, x^{13} - 747970503528716 \, x^{12} - 801333993329116 \, x^{11} + 747970503528716 \, x^{10} + 582726984044198 \, x^{9} - 446369667432350 \, x^{8} - 207088711742488 \, x^{7} + 120347500997751 \, x^{6} + 42079083144127 \, x^{5} - 7873387874194 \, x^{4} - 4641107948794 \, x^{3} - 1268510129270 \, x^{2} - 258433982565 \, x - 19518507459\right)}\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 5 \, \sqrt{13} {\left(2 \, {\left(419409782458524 \, x^{22} - 734551553772036 \, x^{21} - 18129135798825480 \, x^{20} + 46342415724970040 \, x^{19} + 147660832091121960 \, x^{18} - 281814250716297780 \, x^{17} - 771997052407149868 \, x^{16} + 581202262545036704 \, x^{15} + 1981992402699630360 \, x^{14} - 560878898811974600 \, x^{13} - 2949154913394612208 \, x^{12} + 508183375662515280 \, x^{11} + 2949154913394612208 \, x^{10} - 560878898811974600 \, x^{9} - 1981992402699630360 \, x^{8} + 581202262545036704 \, x^{7} + 771997052407149868 \, x^{6} - 281814250716297780 \, x^{5} - 147660832091121960 \, x^{4} + 46342415724970040 \, x^{3} + 18129135798825480 \, x^{2} + \sqrt{13} {\left(114360666044625 \, x^{22} - 82159206468300 \, x^{21} - 5119203489735075 \, x^{20} + 9000368541541000 \, x^{19} + 50566728981273375 \, x^{18} - 68694538787756700 \, x^{17} - 265377087786179525 \, x^{16} + 188115112145740000 \, x^{15} + 743684297270684250 \, x^{14} - 260846258391823000 \, x^{13} - 1192582070334467150 \, x^{12} + 273495485225118000 \, x^{11} + 1192582070334467150 \, x^{10} - 260846258391823000 \, x^{9} - 743684297270684250 \, x^{8} + 188115112145740000 \, x^{7} + 265377087786179525 \, x^{6} - 68694538787756700 \, x^{5} - 50566728981273375 \, x^{4} + 9000368541541000 \, x^{3} + 5119203489735075 \, x^{2} + \sqrt{13} {\left(32174649863631 \, x^{22} - 54667700989668 \, x^{21} - 1161454885034925 \, x^{20} + 2231591213841080 \, x^{19} + 11317460228134065 \, x^{18} - 15147501756126036 \, x^{17} - 57433522492693531 \, x^{16} + 36165933376158752 \, x^{15} + 149046541912200870 \, x^{14} - 51483285976208840 \, x^{13} - 232497595537749778 \, x^{12} + 55228511827706448 \, x^{11} + 232497595537749778 \, x^{10} - 51483285976208840 \, x^{9} - 149046541912200870 \, x^{8} + 36165933376158752 \, x^{7} + 57433522492693531 \, x^{6} - 15147501756126036 \, x^{5} - 11317460228134065 \, x^{4} + 2231591213841080 \, x^{3} + 1161454885034925 \, x^{2} - 54667700989668 \, x - 32174649863631\right)} - 82159206468300 \, x - 114360666044625\right)} + 16900 \, \sqrt{13} {\left(6910217919 \, x^{22} - 14188512393 \, x^{21} - 264938196402 \, x^{20} + 560173342750 \, x^{19} + 2885410276890 \, x^{18} - 4195778936853 \, x^{17} - 16049843908931 \, x^{16} + 10659197774440 \, x^{15} + 43981621047990 \, x^{14} - 15468175661410 \, x^{13} - 70387829519228 \, x^{12} + 16724046063348 \, x^{11} + 70387829519228 \, x^{10} - 15468175661410 \, x^{9} - 43981621047990 \, x^{8} + 10659197774440 \, x^{7} + 16049843908931 \, x^{6} - 4195778936853 \, x^{5} - 2885410276890 \, x^{4} + 560173342750 \, x^{3} + 264938196402 \, x^{2} - 14188512393 \, x - 6910217919\right)} - 734551553772036 \, x - 419409782458524\right)} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} + {\left(13^{\frac{3}{4}} {\left(\sqrt{13} \sqrt{2} {\left(5064601110759 \, x^{24} - 15935521225248 \, x^{23} - 145953298037646 \, x^{22} + 442342162318472 \, x^{21} + 1509242233362130 \, x^{20} - 3824593137929864 \, x^{19} - 9272490241084918 \, x^{18} + 15231739690849728 \, x^{17} + 35123888634951257 \, x^{16} - 29158744370317408 \, x^{15} - 72121852990916732 \, x^{14} + 37093947378248880 \, x^{13} + 90527094861258716 \, x^{12} - 37093947378248880 \, x^{11} - 72121852990916732 \, x^{10} + 29158744370317408 \, x^{9} + 35123888634951257 \, x^{8} - 15231739690849728 \, x^{7} - 9272490241084918 \, x^{6} + 3824593137929864 \, x^{5} + 1509242233362130 \, x^{4} - 442342162318472 \, x^{3} - 145953298037646 \, x^{2} + 15935521225248 \, x + 5064601110759\right)} + 2 \, \sqrt{2} {\left(8344585217061 \, x^{24} + 22313480635683 \, x^{23} - 454941103887909 \, x^{22} - 29015155993837 \, x^{21} + 5263571461584220 \, x^{20} + 1350672090063169 \, x^{19} - 28025155569909697 \, x^{18} - 17323853348703663 \, x^{17} + 71709452405276003 \, x^{16} + 53329447307333918 \, x^{15} - 117861135465169178 \, x^{14} - 87340455501519330 \, x^{13} + 137540784460766264 \, x^{12} + 87340455501519330 \, x^{11} - 117861135465169178 \, x^{10} - 53329447307333918 \, x^{9} + 71709452405276003 \, x^{8} + 17323853348703663 \, x^{7} - 28025155569909697 \, x^{6} - 1350672090063169 \, x^{5} + 5263571461584220 \, x^{4} + 29015155993837 \, x^{3} - 454941103887909 \, x^{2} - 22313480635683 \, x + 8344585217061\right)}\right)} + 2 \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} {\left(8950902551613 \, x^{24} - 17420951995029 \, x^{23} - 280276398361365 \, x^{22} + 267465288044777 \, x^{21} + 3726162631678360 \, x^{20} - 556533136788845 \, x^{19} - 23463111563130721 \, x^{18} - 10788785991868263 \, x^{17} + 71350869932571899 \, x^{16} + 52559233428319022 \, x^{15} - 121657174574889866 \, x^{14} - 96889156840890966 \, x^{13} + 143212893636486752 \, x^{12} + 96889156840890966 \, x^{11} - 121657174574889866 \, x^{10} - 52559233428319022 \, x^{9} + 71350869932571899 \, x^{8} + 10788785991868263 \, x^{7} - 23463111563130721 \, x^{6} + 556533136788845 \, x^{5} + 3726162631678360 \, x^{4} - 267465288044777 \, x^{3} - 280276398361365 \, x^{2} + 17420951995029 \, x + 8950902551613\right)} + 13 \, \sqrt{2} {\left(2421742919211 \, x^{24} - 354297570363 \, x^{23} - 128501377823955 \, x^{22} + 245465593952119 \, x^{21} + 1223894974340720 \, x^{20} - 1990800605349715 \, x^{19} - 6408712012034087 \, x^{18} + 6584370631518039 \, x^{17} + 18374848734437053 \, x^{16} - 14112688088835566 \, x^{15} - 34459812164567302 \, x^{14} + 19949971913218998 \, x^{13} + 42245657417848144 \, x^{12} - 19949971913218998 \, x^{11} - 34459812164567302 \, x^{10} + 14112688088835566 \, x^{9} + 18374848734437053 \, x^{8} - 6584370631518039 \, x^{7} - 6408712012034087 \, x^{6} + 1990800605349715 \, x^{5} + 1223894974340720 \, x^{4} - 245465593952119 \, x^{3} - 128501377823955 \, x^{2} + 354297570363 \, x + 2421742919211\right)}\right)}\right)} \sqrt{3 \, \sqrt{13} + 13}\right)} \sqrt{\frac{52 \, x^{4} + 52 \, x^{3} - 13^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(\sqrt{13} \sqrt{2} {\left(x^{2} + 2 \, x - 1\right)} + \sqrt{2} {\left(5 \, x^{2} - 2 \, x - 5\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 52 \, x^{2} + \sqrt{13} {\left(17 \, x^{4} + 20 \, x^{3} - 26 \, x^{2} - 20 \, x + 17\right)} - 52 \, x + 52}{x^{4} + 2 \, x^{2} + 1}} + 12675 \, \sqrt{13} {\left(177838764957 \, x^{24} + 3282751894572 \, x^{23} - 12363069681816 \, x^{22} - 47326717811724 \, x^{21} + 72293202696770 \, x^{20} + 288662813058588 \, x^{19} + 55148659933960 \, x^{18} - 345299438215612 \, x^{17} - 172702607180557 \, x^{16} - 87498335053544 \, x^{15} - 32309816748656 \, x^{14} + 597073385926952 \, x^{13} + 221414678444636 \, x^{12} - 597073385926952 \, x^{11} - 32309816748656 \, x^{10} + 87498335053544 \, x^{9} - 172702607180557 \, x^{8} + 345299438215612 \, x^{7} + 55148659933960 \, x^{6} - 288662813058588 \, x^{5} + 72293202696770 \, x^{4} + 47326717811724 \, x^{3} - 12363069681816 \, x^{2} - 3282751894572 \, x + 177838764957\right)} + 50700 \, \sqrt{13} {\left(67029569739 \, x^{24} - 597586574235 \, x^{23} - 446407157383 \, x^{22} + 8646734742891 \, x^{21} + 6344564056940 \, x^{20} - 42154169717695 \, x^{19} - 55151396492523 \, x^{18} + 27807985037327 \, x^{17} + 50679508980909 \, x^{16} + 24831639280746 \, x^{15} + 52238368574322 \, x^{14} - 54374836791402 \, x^{13} - 120901075366344 \, x^{12} + 54374836791402 \, x^{11} + 52238368574322 \, x^{10} - 24831639280746 \, x^{9} + 50679508980909 \, x^{8} - 27807985037327 \, x^{7} - 55151396492523 \, x^{6} + 42154169717695 \, x^{5} + 6344564056940 \, x^{4} - 8646734742891 \, x^{3} - 446407157383 \, x^{2} + \sqrt{13} {\left(15948545679 \, x^{24} + 18290888373 \, x^{23} - 1587820781015 \, x^{22} + 3527145459591 \, x^{21} + 19118859600980 \, x^{20} - 33894946115435 \, x^{19} - 125610923441243 \, x^{18} + 109747557102911 \, x^{17} + 436323477217897 \, x^{16} - 158309885652374 \, x^{15} - 848740127958478 \, x^{14} + 153014850561262 \, x^{13} + 1047025675744616 \, x^{12} - 153014850561262 \, x^{11} - 848740127958478 \, x^{10} + 158309885652374 \, x^{9} + 436323477217897 \, x^{8} - 109747557102911 \, x^{7} - 125610923441243 \, x^{6} + 33894946115435 \, x^{5} + 19118859600980 \, x^{4} - 3527145459591 \, x^{3} - 1587820781015 \, x^{2} - 18290888373 \, x + 15948545679\right)} + 597586574235 \, x + 67029569739\right)} - 22127143477092732 \, x + 9973402820649333}{78 \, {\left(33216827121477 \, x^{24} - 2060726880350592 \, x^{23} + 1431075537830988 \, x^{22} + 83828069684567680 \, x^{21} - 145619826687334470 \, x^{20} - 798797730254046208 \, x^{19} + 1013303893827450652 \, x^{18} + 4124312348255593984 \, x^{17} - 2350198326509186389 \, x^{16} - 10945125280902753920 \, x^{15} + 2837136293429528728 \, x^{14} + 17083854766580127616 \, x^{13} - 2801179578979740500 \, x^{12} - 17083854766580127616 \, x^{11} + 2837136293429528728 \, x^{10} + 10945125280902753920 \, x^{9} - 2350198326509186389 \, x^{8} - 4124312348255593984 \, x^{7} + 1013303893827450652 \, x^{6} + 798797730254046208 \, x^{5} - 145619826687334470 \, x^{4} - 83828069684567680 \, x^{3} + 1431075537830988 \, x^{2} + 2060726880350592 \, x + 33216827121477\right)}}\right) + 8 \cdot 13^{\frac{3}{4}} \sqrt{2} x \sqrt{3 \, \sqrt{13} + 13} \arctan\left(\frac{9973402820649333 \, x^{24} + 22127143477092732 \, x^{23} + 411425006050475352 \, x^{22} - 2674034968526173980 \, x^{21} - 8817595222945016430 \, x^{20} + 26775269173700401068 \, x^{19} + 78094051238357921208 \, x^{18} - 79698905838822826764 \, x^{17} - 288484945304365905381 \, x^{16} + 103539974542743456120 \, x^{15} + 564311426035174966512 \, x^{14} - 89471281890239169336 \, x^{13} - 696743417151333048900 \, x^{12} + 89471281890239169336 \, x^{11} + 564311426035174966512 \, x^{10} - 103539974542743456120 \, x^{9} - 288484945304365905381 \, x^{8} + 79698905838822826764 \, x^{7} + 78094051238357921208 \, x^{6} - 26775269173700401068 \, x^{5} - 8817595222945016430 \, x^{4} + 2674034968526173980 \, x^{3} + 411425006050475352 \, x^{2} - 975 \, \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(13^{\frac{3}{4}} {\left(\sqrt{13} \sqrt{2} {\left(35341242867 \, x^{22} + 1855733013342 \, x^{21} - 13065830234977 \, x^{20} - 13707953161500 \, x^{19} + 161237193602453 \, x^{18} + 131938117769830 \, x^{17} - 841354492514479 \, x^{16} - 943610658660240 \, x^{15} + 1815156449248878 \, x^{14} + 2328772665064508 \, x^{13} - 2454398966001146 \, x^{12} - 3055785341153960 \, x^{11} + 2454398966001146 \, x^{10} + 2328772665064508 \, x^{9} - 1815156449248878 \, x^{8} - 943610658660240 \, x^{7} + 841354492514479 \, x^{6} + 131938117769830 \, x^{5} - 161237193602453 \, x^{4} - 13707953161500 \, x^{3} + 13065830234977 \, x^{2} + 1855733013342 \, x - 35341242867\right)} + 13 \, \sqrt{2} {\left(27984641913 \, x^{22} - 681850618938 \, x^{21} + 1832470732861 \, x^{20} + 10480832872820 \, x^{19} - 25798153427169 \, x^{18} - 87720458521554 \, x^{17} + 119868804550803 \, x^{16} + 409807390513968 \, x^{15} - 171761161217974 \, x^{14} - 885623303420404 \, x^{13} + 139243488716306 \, x^{12} + 1121192318939832 \, x^{11} - 139243488716306 \, x^{10} - 885623303420404 \, x^{9} + 171761161217974 \, x^{8} + 409807390513968 \, x^{7} - 119868804550803 \, x^{6} - 87720458521554 \, x^{5} + 25798153427169 \, x^{4} + 10480832872820 \, x^{3} - 1832470732861 \, x^{2} - 681850618938 \, x - 27984641913\right)}\right)} + 52 \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} {\left(4145451651 \, x^{22} + 22790133663 \, x^{21} - 787396271270 \, x^{20} + 3268260459922 \, x^{19} + 2127235898078 \, x^{18} - 26388586645821 \, x^{17} + 4534478469577 \, x^{16} + 96402875532632 \, x^{15} - 39927895710530 \, x^{14} - 219325332502114 \, x^{13} + 73075426941692 \, x^{12} + 286730467695148 \, x^{11} - 73075426941692 \, x^{10} - 219325332502114 \, x^{9} + 39927895710530 \, x^{8} + 96402875532632 \, x^{7} - 4534478469577 \, x^{6} - 26388586645821 \, x^{5} - 2127235898078 \, x^{4} + 3268260459922 \, x^{3} + 787396271270 \, x^{2} + 22790133663 \, x - 4145451651\right)} + \sqrt{2} {\left(19518507459 \, x^{22} - 258433982565 \, x^{21} + 1268510129270 \, x^{20} - 4641107948794 \, x^{19} + 7873387874194 \, x^{18} + 42079083144127 \, x^{17} - 120347500997751 \, x^{16} - 207088711742488 \, x^{15} + 446369667432350 \, x^{14} + 582726984044198 \, x^{13} - 747970503528716 \, x^{12} - 801333993329116 \, x^{11} + 747970503528716 \, x^{10} + 582726984044198 \, x^{9} - 446369667432350 \, x^{8} - 207088711742488 \, x^{7} + 120347500997751 \, x^{6} + 42079083144127 \, x^{5} - 7873387874194 \, x^{4} - 4641107948794 \, x^{3} - 1268510129270 \, x^{2} - 258433982565 \, x - 19518507459\right)}\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 5 \, \sqrt{13} {\left(2 \, {\left(419409782458524 \, x^{22} - 734551553772036 \, x^{21} - 18129135798825480 \, x^{20} + 46342415724970040 \, x^{19} + 147660832091121960 \, x^{18} - 281814250716297780 \, x^{17} - 771997052407149868 \, x^{16} + 581202262545036704 \, x^{15} + 1981992402699630360 \, x^{14} - 560878898811974600 \, x^{13} - 2949154913394612208 \, x^{12} + 508183375662515280 \, x^{11} + 2949154913394612208 \, x^{10} - 560878898811974600 \, x^{9} - 1981992402699630360 \, x^{8} + 581202262545036704 \, x^{7} + 771997052407149868 \, x^{6} - 281814250716297780 \, x^{5} - 147660832091121960 \, x^{4} + 46342415724970040 \, x^{3} + 18129135798825480 \, x^{2} + \sqrt{13} {\left(114360666044625 \, x^{22} - 82159206468300 \, x^{21} - 5119203489735075 \, x^{20} + 9000368541541000 \, x^{19} + 50566728981273375 \, x^{18} - 68694538787756700 \, x^{17} - 265377087786179525 \, x^{16} + 188115112145740000 \, x^{15} + 743684297270684250 \, x^{14} - 260846258391823000 \, x^{13} - 1192582070334467150 \, x^{12} + 273495485225118000 \, x^{11} + 1192582070334467150 \, x^{10} - 260846258391823000 \, x^{9} - 743684297270684250 \, x^{8} + 188115112145740000 \, x^{7} + 265377087786179525 \, x^{6} - 68694538787756700 \, x^{5} - 50566728981273375 \, x^{4} + 9000368541541000 \, x^{3} + 5119203489735075 \, x^{2} + \sqrt{13} {\left(32174649863631 \, x^{22} - 54667700989668 \, x^{21} - 1161454885034925 \, x^{20} + 2231591213841080 \, x^{19} + 11317460228134065 \, x^{18} - 15147501756126036 \, x^{17} - 57433522492693531 \, x^{16} + 36165933376158752 \, x^{15} + 149046541912200870 \, x^{14} - 51483285976208840 \, x^{13} - 232497595537749778 \, x^{12} + 55228511827706448 \, x^{11} + 232497595537749778 \, x^{10} - 51483285976208840 \, x^{9} - 149046541912200870 \, x^{8} + 36165933376158752 \, x^{7} + 57433522492693531 \, x^{6} - 15147501756126036 \, x^{5} - 11317460228134065 \, x^{4} + 2231591213841080 \, x^{3} + 1161454885034925 \, x^{2} - 54667700989668 \, x - 32174649863631\right)} - 82159206468300 \, x - 114360666044625\right)} + 16900 \, \sqrt{13} {\left(6910217919 \, x^{22} - 14188512393 \, x^{21} - 264938196402 \, x^{20} + 560173342750 \, x^{19} + 2885410276890 \, x^{18} - 4195778936853 \, x^{17} - 16049843908931 \, x^{16} + 10659197774440 \, x^{15} + 43981621047990 \, x^{14} - 15468175661410 \, x^{13} - 70387829519228 \, x^{12} + 16724046063348 \, x^{11} + 70387829519228 \, x^{10} - 15468175661410 \, x^{9} - 43981621047990 \, x^{8} + 10659197774440 \, x^{7} + 16049843908931 \, x^{6} - 4195778936853 \, x^{5} - 2885410276890 \, x^{4} + 560173342750 \, x^{3} + 264938196402 \, x^{2} - 14188512393 \, x - 6910217919\right)} - 734551553772036 \, x - 419409782458524\right)} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} - {\left(13^{\frac{3}{4}} {\left(\sqrt{13} \sqrt{2} {\left(5064601110759 \, x^{24} - 15935521225248 \, x^{23} - 145953298037646 \, x^{22} + 442342162318472 \, x^{21} + 1509242233362130 \, x^{20} - 3824593137929864 \, x^{19} - 9272490241084918 \, x^{18} + 15231739690849728 \, x^{17} + 35123888634951257 \, x^{16} - 29158744370317408 \, x^{15} - 72121852990916732 \, x^{14} + 37093947378248880 \, x^{13} + 90527094861258716 \, x^{12} - 37093947378248880 \, x^{11} - 72121852990916732 \, x^{10} + 29158744370317408 \, x^{9} + 35123888634951257 \, x^{8} - 15231739690849728 \, x^{7} - 9272490241084918 \, x^{6} + 3824593137929864 \, x^{5} + 1509242233362130 \, x^{4} - 442342162318472 \, x^{3} - 145953298037646 \, x^{2} + 15935521225248 \, x + 5064601110759\right)} + 2 \, \sqrt{2} {\left(8344585217061 \, x^{24} + 22313480635683 \, x^{23} - 454941103887909 \, x^{22} - 29015155993837 \, x^{21} + 5263571461584220 \, x^{20} + 1350672090063169 \, x^{19} - 28025155569909697 \, x^{18} - 17323853348703663 \, x^{17} + 71709452405276003 \, x^{16} + 53329447307333918 \, x^{15} - 117861135465169178 \, x^{14} - 87340455501519330 \, x^{13} + 137540784460766264 \, x^{12} + 87340455501519330 \, x^{11} - 117861135465169178 \, x^{10} - 53329447307333918 \, x^{9} + 71709452405276003 \, x^{8} + 17323853348703663 \, x^{7} - 28025155569909697 \, x^{6} - 1350672090063169 \, x^{5} + 5263571461584220 \, x^{4} + 29015155993837 \, x^{3} - 454941103887909 \, x^{2} - 22313480635683 \, x + 8344585217061\right)}\right)} + 2 \cdot 13^{\frac{1}{4}} {\left(\sqrt{13} \sqrt{2} {\left(8950902551613 \, x^{24} - 17420951995029 \, x^{23} - 280276398361365 \, x^{22} + 267465288044777 \, x^{21} + 3726162631678360 \, x^{20} - 556533136788845 \, x^{19} - 23463111563130721 \, x^{18} - 10788785991868263 \, x^{17} + 71350869932571899 \, x^{16} + 52559233428319022 \, x^{15} - 121657174574889866 \, x^{14} - 96889156840890966 \, x^{13} + 143212893636486752 \, x^{12} + 96889156840890966 \, x^{11} - 121657174574889866 \, x^{10} - 52559233428319022 \, x^{9} + 71350869932571899 \, x^{8} + 10788785991868263 \, x^{7} - 23463111563130721 \, x^{6} + 556533136788845 \, x^{5} + 3726162631678360 \, x^{4} - 267465288044777 \, x^{3} - 280276398361365 \, x^{2} + 17420951995029 \, x + 8950902551613\right)} + 13 \, \sqrt{2} {\left(2421742919211 \, x^{24} - 354297570363 \, x^{23} - 128501377823955 \, x^{22} + 245465593952119 \, x^{21} + 1223894974340720 \, x^{20} - 1990800605349715 \, x^{19} - 6408712012034087 \, x^{18} + 6584370631518039 \, x^{17} + 18374848734437053 \, x^{16} - 14112688088835566 \, x^{15} - 34459812164567302 \, x^{14} + 19949971913218998 \, x^{13} + 42245657417848144 \, x^{12} - 19949971913218998 \, x^{11} - 34459812164567302 \, x^{10} + 14112688088835566 \, x^{9} + 18374848734437053 \, x^{8} - 6584370631518039 \, x^{7} - 6408712012034087 \, x^{6} + 1990800605349715 \, x^{5} + 1223894974340720 \, x^{4} - 245465593952119 \, x^{3} - 128501377823955 \, x^{2} + 354297570363 \, x + 2421742919211\right)}\right)}\right)} \sqrt{3 \, \sqrt{13} + 13}\right)} \sqrt{\frac{52 \, x^{4} + 52 \, x^{3} + 13^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(\sqrt{13} \sqrt{2} {\left(x^{2} + 2 \, x - 1\right)} + \sqrt{2} {\left(5 \, x^{2} - 2 \, x - 5\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 52 \, x^{2} + \sqrt{13} {\left(17 \, x^{4} + 20 \, x^{3} - 26 \, x^{2} - 20 \, x + 17\right)} - 52 \, x + 52}{x^{4} + 2 \, x^{2} + 1}} + 12675 \, \sqrt{13} {\left(177838764957 \, x^{24} + 3282751894572 \, x^{23} - 12363069681816 \, x^{22} - 47326717811724 \, x^{21} + 72293202696770 \, x^{20} + 288662813058588 \, x^{19} + 55148659933960 \, x^{18} - 345299438215612 \, x^{17} - 172702607180557 \, x^{16} - 87498335053544 \, x^{15} - 32309816748656 \, x^{14} + 597073385926952 \, x^{13} + 221414678444636 \, x^{12} - 597073385926952 \, x^{11} - 32309816748656 \, x^{10} + 87498335053544 \, x^{9} - 172702607180557 \, x^{8} + 345299438215612 \, x^{7} + 55148659933960 \, x^{6} - 288662813058588 \, x^{5} + 72293202696770 \, x^{4} + 47326717811724 \, x^{3} - 12363069681816 \, x^{2} - 3282751894572 \, x + 177838764957\right)} + 50700 \, \sqrt{13} {\left(67029569739 \, x^{24} - 597586574235 \, x^{23} - 446407157383 \, x^{22} + 8646734742891 \, x^{21} + 6344564056940 \, x^{20} - 42154169717695 \, x^{19} - 55151396492523 \, x^{18} + 27807985037327 \, x^{17} + 50679508980909 \, x^{16} + 24831639280746 \, x^{15} + 52238368574322 \, x^{14} - 54374836791402 \, x^{13} - 120901075366344 \, x^{12} + 54374836791402 \, x^{11} + 52238368574322 \, x^{10} - 24831639280746 \, x^{9} + 50679508980909 \, x^{8} - 27807985037327 \, x^{7} - 55151396492523 \, x^{6} + 42154169717695 \, x^{5} + 6344564056940 \, x^{4} - 8646734742891 \, x^{3} - 446407157383 \, x^{2} + \sqrt{13} {\left(15948545679 \, x^{24} + 18290888373 \, x^{23} - 1587820781015 \, x^{22} + 3527145459591 \, x^{21} + 19118859600980 \, x^{20} - 33894946115435 \, x^{19} - 125610923441243 \, x^{18} + 109747557102911 \, x^{17} + 436323477217897 \, x^{16} - 158309885652374 \, x^{15} - 848740127958478 \, x^{14} + 153014850561262 \, x^{13} + 1047025675744616 \, x^{12} - 153014850561262 \, x^{11} - 848740127958478 \, x^{10} + 158309885652374 \, x^{9} + 436323477217897 \, x^{8} - 109747557102911 \, x^{7} - 125610923441243 \, x^{6} + 33894946115435 \, x^{5} + 19118859600980 \, x^{4} - 3527145459591 \, x^{3} - 1587820781015 \, x^{2} - 18290888373 \, x + 15948545679\right)} + 597586574235 \, x + 67029569739\right)} - 22127143477092732 \, x + 9973402820649333}{78 \, {\left(33216827121477 \, x^{24} - 2060726880350592 \, x^{23} + 1431075537830988 \, x^{22} + 83828069684567680 \, x^{21} - 145619826687334470 \, x^{20} - 798797730254046208 \, x^{19} + 1013303893827450652 \, x^{18} + 4124312348255593984 \, x^{17} - 2350198326509186389 \, x^{16} - 10945125280902753920 \, x^{15} + 2837136293429528728 \, x^{14} + 17083854766580127616 \, x^{13} - 2801179578979740500 \, x^{12} - 17083854766580127616 \, x^{11} + 2837136293429528728 \, x^{10} + 10945125280902753920 \, x^{9} - 2350198326509186389 \, x^{8} - 4124312348255593984 \, x^{7} + 1013303893827450652 \, x^{6} + 798797730254046208 \, x^{5} - 145619826687334470 \, x^{4} - 83828069684567680 \, x^{3} + 1431075537830988 \, x^{2} + 2060726880350592 \, x + 33216827121477\right)}}\right) - 13^{\frac{1}{4}} {\left(3 \, \sqrt{13} \sqrt{2} x - 13 \, \sqrt{2} x\right)} \sqrt{3 \, \sqrt{13} + 13} \log\left(\frac{1300 \, {\left(52 \, x^{4} + 52 \, x^{3} + 13^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(\sqrt{13} \sqrt{2} {\left(x^{2} + 2 \, x - 1\right)} + \sqrt{2} {\left(5 \, x^{2} - 2 \, x - 5\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 52 \, x^{2} + \sqrt{13} {\left(17 \, x^{4} + 20 \, x^{3} - 26 \, x^{2} - 20 \, x + 17\right)} - 52 \, x + 52\right)}}{x^{4} + 2 \, x^{2} + 1}\right) + 13^{\frac{1}{4}} {\left(3 \, \sqrt{13} \sqrt{2} x - 13 \, \sqrt{2} x\right)} \sqrt{3 \, \sqrt{13} + 13} \log\left(\frac{1300 \, {\left(52 \, x^{4} + 52 \, x^{3} - 13^{\frac{1}{4}} \sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(\sqrt{13} \sqrt{2} {\left(x^{2} + 2 \, x - 1\right)} + \sqrt{2} {\left(5 \, x^{2} - 2 \, x - 5\right)}\right)} \sqrt{3 \, \sqrt{13} + 13} - 52 \, x^{2} + \sqrt{13} {\left(17 \, x^{4} + 20 \, x^{3} - 26 \, x^{2} - 20 \, x + 17\right)} - 52 \, x + 52\right)}}{x^{4} + 2 \, x^{2} + 1}\right) - 104 \, x \log\left(-\frac{2 \, x^{2} + x + 2 \, \sqrt{x^{4} + x^{3} - x^{2} - x + 1} - 2}{x}\right) - 208 \, \sqrt{x^{4} + x^{3} - x^{2} - x + 1}}{208 \, x}"," ",0,"-1/208*(8*13^(3/4)*sqrt(2)*x*sqrt(3*sqrt(13) + 13)*arctan(-1/78*(9973402820649333*x^24 + 22127143477092732*x^23 + 411425006050475352*x^22 - 2674034968526173980*x^21 - 8817595222945016430*x^20 + 26775269173700401068*x^19 + 78094051238357921208*x^18 - 79698905838822826764*x^17 - 288484945304365905381*x^16 + 103539974542743456120*x^15 + 564311426035174966512*x^14 - 89471281890239169336*x^13 - 696743417151333048900*x^12 + 89471281890239169336*x^11 + 564311426035174966512*x^10 - 103539974542743456120*x^9 - 288484945304365905381*x^8 + 79698905838822826764*x^7 + 78094051238357921208*x^6 - 26775269173700401068*x^5 - 8817595222945016430*x^4 + 2674034968526173980*x^3 + 411425006050475352*x^2 + 975*sqrt(x^4 + x^3 - x^2 - x + 1)*(13^(3/4)*(sqrt(13)*sqrt(2)*(35341242867*x^22 + 1855733013342*x^21 - 13065830234977*x^20 - 13707953161500*x^19 + 161237193602453*x^18 + 131938117769830*x^17 - 841354492514479*x^16 - 943610658660240*x^15 + 1815156449248878*x^14 + 2328772665064508*x^13 - 2454398966001146*x^12 - 3055785341153960*x^11 + 2454398966001146*x^10 + 2328772665064508*x^9 - 1815156449248878*x^8 - 943610658660240*x^7 + 841354492514479*x^6 + 131938117769830*x^5 - 161237193602453*x^4 - 13707953161500*x^3 + 13065830234977*x^2 + 1855733013342*x - 35341242867) + 13*sqrt(2)*(27984641913*x^22 - 681850618938*x^21 + 1832470732861*x^20 + 10480832872820*x^19 - 25798153427169*x^18 - 87720458521554*x^17 + 119868804550803*x^16 + 409807390513968*x^15 - 171761161217974*x^14 - 885623303420404*x^13 + 139243488716306*x^12 + 1121192318939832*x^11 - 139243488716306*x^10 - 885623303420404*x^9 + 171761161217974*x^8 + 409807390513968*x^7 - 119868804550803*x^6 - 87720458521554*x^5 + 25798153427169*x^4 + 10480832872820*x^3 - 1832470732861*x^2 - 681850618938*x - 27984641913)) + 52*13^(1/4)*(sqrt(13)*sqrt(2)*(4145451651*x^22 + 22790133663*x^21 - 787396271270*x^20 + 3268260459922*x^19 + 2127235898078*x^18 - 26388586645821*x^17 + 4534478469577*x^16 + 96402875532632*x^15 - 39927895710530*x^14 - 219325332502114*x^13 + 73075426941692*x^12 + 286730467695148*x^11 - 73075426941692*x^10 - 219325332502114*x^9 + 39927895710530*x^8 + 96402875532632*x^7 - 4534478469577*x^6 - 26388586645821*x^5 - 2127235898078*x^4 + 3268260459922*x^3 + 787396271270*x^2 + 22790133663*x - 4145451651) + sqrt(2)*(19518507459*x^22 - 258433982565*x^21 + 1268510129270*x^20 - 4641107948794*x^19 + 7873387874194*x^18 + 42079083144127*x^17 - 120347500997751*x^16 - 207088711742488*x^15 + 446369667432350*x^14 + 582726984044198*x^13 - 747970503528716*x^12 - 801333993329116*x^11 + 747970503528716*x^10 + 582726984044198*x^9 - 446369667432350*x^8 - 207088711742488*x^7 + 120347500997751*x^6 + 42079083144127*x^5 - 7873387874194*x^4 - 4641107948794*x^3 - 1268510129270*x^2 - 258433982565*x - 19518507459)))*sqrt(3*sqrt(13) + 13) - 5*sqrt(13)*(2*(419409782458524*x^22 - 734551553772036*x^21 - 18129135798825480*x^20 + 46342415724970040*x^19 + 147660832091121960*x^18 - 281814250716297780*x^17 - 771997052407149868*x^16 + 581202262545036704*x^15 + 1981992402699630360*x^14 - 560878898811974600*x^13 - 2949154913394612208*x^12 + 508183375662515280*x^11 + 2949154913394612208*x^10 - 560878898811974600*x^9 - 1981992402699630360*x^8 + 581202262545036704*x^7 + 771997052407149868*x^6 - 281814250716297780*x^5 - 147660832091121960*x^4 + 46342415724970040*x^3 + 18129135798825480*x^2 + sqrt(13)*(114360666044625*x^22 - 82159206468300*x^21 - 5119203489735075*x^20 + 9000368541541000*x^19 + 50566728981273375*x^18 - 68694538787756700*x^17 - 265377087786179525*x^16 + 188115112145740000*x^15 + 743684297270684250*x^14 - 260846258391823000*x^13 - 1192582070334467150*x^12 + 273495485225118000*x^11 + 1192582070334467150*x^10 - 260846258391823000*x^9 - 743684297270684250*x^8 + 188115112145740000*x^7 + 265377087786179525*x^6 - 68694538787756700*x^5 - 50566728981273375*x^4 + 9000368541541000*x^3 + 5119203489735075*x^2 + sqrt(13)*(32174649863631*x^22 - 54667700989668*x^21 - 1161454885034925*x^20 + 2231591213841080*x^19 + 11317460228134065*x^18 - 15147501756126036*x^17 - 57433522492693531*x^16 + 36165933376158752*x^15 + 149046541912200870*x^14 - 51483285976208840*x^13 - 232497595537749778*x^12 + 55228511827706448*x^11 + 232497595537749778*x^10 - 51483285976208840*x^9 - 149046541912200870*x^8 + 36165933376158752*x^7 + 57433522492693531*x^6 - 15147501756126036*x^5 - 11317460228134065*x^4 + 2231591213841080*x^3 + 1161454885034925*x^2 - 54667700989668*x - 32174649863631) - 82159206468300*x - 114360666044625) + 16900*sqrt(13)*(6910217919*x^22 - 14188512393*x^21 - 264938196402*x^20 + 560173342750*x^19 + 2885410276890*x^18 - 4195778936853*x^17 - 16049843908931*x^16 + 10659197774440*x^15 + 43981621047990*x^14 - 15468175661410*x^13 - 70387829519228*x^12 + 16724046063348*x^11 + 70387829519228*x^10 - 15468175661410*x^9 - 43981621047990*x^8 + 10659197774440*x^7 + 16049843908931*x^6 - 4195778936853*x^5 - 2885410276890*x^4 + 560173342750*x^3 + 264938196402*x^2 - 14188512393*x - 6910217919) - 734551553772036*x - 419409782458524)*sqrt(x^4 + x^3 - x^2 - x + 1) + (13^(3/4)*(sqrt(13)*sqrt(2)*(5064601110759*x^24 - 15935521225248*x^23 - 145953298037646*x^22 + 442342162318472*x^21 + 1509242233362130*x^20 - 3824593137929864*x^19 - 9272490241084918*x^18 + 15231739690849728*x^17 + 35123888634951257*x^16 - 29158744370317408*x^15 - 72121852990916732*x^14 + 37093947378248880*x^13 + 90527094861258716*x^12 - 37093947378248880*x^11 - 72121852990916732*x^10 + 29158744370317408*x^9 + 35123888634951257*x^8 - 15231739690849728*x^7 - 9272490241084918*x^6 + 3824593137929864*x^5 + 1509242233362130*x^4 - 442342162318472*x^3 - 145953298037646*x^2 + 15935521225248*x + 5064601110759) + 2*sqrt(2)*(8344585217061*x^24 + 22313480635683*x^23 - 454941103887909*x^22 - 29015155993837*x^21 + 5263571461584220*x^20 + 1350672090063169*x^19 - 28025155569909697*x^18 - 17323853348703663*x^17 + 71709452405276003*x^16 + 53329447307333918*x^15 - 117861135465169178*x^14 - 87340455501519330*x^13 + 137540784460766264*x^12 + 87340455501519330*x^11 - 117861135465169178*x^10 - 53329447307333918*x^9 + 71709452405276003*x^8 + 17323853348703663*x^7 - 28025155569909697*x^6 - 1350672090063169*x^5 + 5263571461584220*x^4 + 29015155993837*x^3 - 454941103887909*x^2 - 22313480635683*x + 8344585217061)) + 2*13^(1/4)*(sqrt(13)*sqrt(2)*(8950902551613*x^24 - 17420951995029*x^23 - 280276398361365*x^22 + 267465288044777*x^21 + 3726162631678360*x^20 - 556533136788845*x^19 - 23463111563130721*x^18 - 10788785991868263*x^17 + 71350869932571899*x^16 + 52559233428319022*x^15 - 121657174574889866*x^14 - 96889156840890966*x^13 + 143212893636486752*x^12 + 96889156840890966*x^11 - 121657174574889866*x^10 - 52559233428319022*x^9 + 71350869932571899*x^8 + 10788785991868263*x^7 - 23463111563130721*x^6 + 556533136788845*x^5 + 3726162631678360*x^4 - 267465288044777*x^3 - 280276398361365*x^2 + 17420951995029*x + 8950902551613) + 13*sqrt(2)*(2421742919211*x^24 - 354297570363*x^23 - 128501377823955*x^22 + 245465593952119*x^21 + 1223894974340720*x^20 - 1990800605349715*x^19 - 6408712012034087*x^18 + 6584370631518039*x^17 + 18374848734437053*x^16 - 14112688088835566*x^15 - 34459812164567302*x^14 + 19949971913218998*x^13 + 42245657417848144*x^12 - 19949971913218998*x^11 - 34459812164567302*x^10 + 14112688088835566*x^9 + 18374848734437053*x^8 - 6584370631518039*x^7 - 6408712012034087*x^6 + 1990800605349715*x^5 + 1223894974340720*x^4 - 245465593952119*x^3 - 128501377823955*x^2 + 354297570363*x + 2421742919211)))*sqrt(3*sqrt(13) + 13))*sqrt((52*x^4 + 52*x^3 - 13^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(sqrt(13)*sqrt(2)*(x^2 + 2*x - 1) + sqrt(2)*(5*x^2 - 2*x - 5))*sqrt(3*sqrt(13) + 13) - 52*x^2 + sqrt(13)*(17*x^4 + 20*x^3 - 26*x^2 - 20*x + 17) - 52*x + 52)/(x^4 + 2*x^2 + 1)) + 12675*sqrt(13)*(177838764957*x^24 + 3282751894572*x^23 - 12363069681816*x^22 - 47326717811724*x^21 + 72293202696770*x^20 + 288662813058588*x^19 + 55148659933960*x^18 - 345299438215612*x^17 - 172702607180557*x^16 - 87498335053544*x^15 - 32309816748656*x^14 + 597073385926952*x^13 + 221414678444636*x^12 - 597073385926952*x^11 - 32309816748656*x^10 + 87498335053544*x^9 - 172702607180557*x^8 + 345299438215612*x^7 + 55148659933960*x^6 - 288662813058588*x^5 + 72293202696770*x^4 + 47326717811724*x^3 - 12363069681816*x^2 - 3282751894572*x + 177838764957) + 50700*sqrt(13)*(67029569739*x^24 - 597586574235*x^23 - 446407157383*x^22 + 8646734742891*x^21 + 6344564056940*x^20 - 42154169717695*x^19 - 55151396492523*x^18 + 27807985037327*x^17 + 50679508980909*x^16 + 24831639280746*x^15 + 52238368574322*x^14 - 54374836791402*x^13 - 120901075366344*x^12 + 54374836791402*x^11 + 52238368574322*x^10 - 24831639280746*x^9 + 50679508980909*x^8 - 27807985037327*x^7 - 55151396492523*x^6 + 42154169717695*x^5 + 6344564056940*x^4 - 8646734742891*x^3 - 446407157383*x^2 + sqrt(13)*(15948545679*x^24 + 18290888373*x^23 - 1587820781015*x^22 + 3527145459591*x^21 + 19118859600980*x^20 - 33894946115435*x^19 - 125610923441243*x^18 + 109747557102911*x^17 + 436323477217897*x^16 - 158309885652374*x^15 - 848740127958478*x^14 + 153014850561262*x^13 + 1047025675744616*x^12 - 153014850561262*x^11 - 848740127958478*x^10 + 158309885652374*x^9 + 436323477217897*x^8 - 109747557102911*x^7 - 125610923441243*x^6 + 33894946115435*x^5 + 19118859600980*x^4 - 3527145459591*x^3 - 1587820781015*x^2 - 18290888373*x + 15948545679) + 597586574235*x + 67029569739) - 22127143477092732*x + 9973402820649333)/(33216827121477*x^24 - 2060726880350592*x^23 + 1431075537830988*x^22 + 83828069684567680*x^21 - 145619826687334470*x^20 - 798797730254046208*x^19 + 1013303893827450652*x^18 + 4124312348255593984*x^17 - 2350198326509186389*x^16 - 10945125280902753920*x^15 + 2837136293429528728*x^14 + 17083854766580127616*x^13 - 2801179578979740500*x^12 - 17083854766580127616*x^11 + 2837136293429528728*x^10 + 10945125280902753920*x^9 - 2350198326509186389*x^8 - 4124312348255593984*x^7 + 1013303893827450652*x^6 + 798797730254046208*x^5 - 145619826687334470*x^4 - 83828069684567680*x^3 + 1431075537830988*x^2 + 2060726880350592*x + 33216827121477)) + 8*13^(3/4)*sqrt(2)*x*sqrt(3*sqrt(13) + 13)*arctan(1/78*(9973402820649333*x^24 + 22127143477092732*x^23 + 411425006050475352*x^22 - 2674034968526173980*x^21 - 8817595222945016430*x^20 + 26775269173700401068*x^19 + 78094051238357921208*x^18 - 79698905838822826764*x^17 - 288484945304365905381*x^16 + 103539974542743456120*x^15 + 564311426035174966512*x^14 - 89471281890239169336*x^13 - 696743417151333048900*x^12 + 89471281890239169336*x^11 + 564311426035174966512*x^10 - 103539974542743456120*x^9 - 288484945304365905381*x^8 + 79698905838822826764*x^7 + 78094051238357921208*x^6 - 26775269173700401068*x^5 - 8817595222945016430*x^4 + 2674034968526173980*x^3 + 411425006050475352*x^2 - 975*sqrt(x^4 + x^3 - x^2 - x + 1)*(13^(3/4)*(sqrt(13)*sqrt(2)*(35341242867*x^22 + 1855733013342*x^21 - 13065830234977*x^20 - 13707953161500*x^19 + 161237193602453*x^18 + 131938117769830*x^17 - 841354492514479*x^16 - 943610658660240*x^15 + 1815156449248878*x^14 + 2328772665064508*x^13 - 2454398966001146*x^12 - 3055785341153960*x^11 + 2454398966001146*x^10 + 2328772665064508*x^9 - 1815156449248878*x^8 - 943610658660240*x^7 + 841354492514479*x^6 + 131938117769830*x^5 - 161237193602453*x^4 - 13707953161500*x^3 + 13065830234977*x^2 + 1855733013342*x - 35341242867) + 13*sqrt(2)*(27984641913*x^22 - 681850618938*x^21 + 1832470732861*x^20 + 10480832872820*x^19 - 25798153427169*x^18 - 87720458521554*x^17 + 119868804550803*x^16 + 409807390513968*x^15 - 171761161217974*x^14 - 885623303420404*x^13 + 139243488716306*x^12 + 1121192318939832*x^11 - 139243488716306*x^10 - 885623303420404*x^9 + 171761161217974*x^8 + 409807390513968*x^7 - 119868804550803*x^6 - 87720458521554*x^5 + 25798153427169*x^4 + 10480832872820*x^3 - 1832470732861*x^2 - 681850618938*x - 27984641913)) + 52*13^(1/4)*(sqrt(13)*sqrt(2)*(4145451651*x^22 + 22790133663*x^21 - 787396271270*x^20 + 3268260459922*x^19 + 2127235898078*x^18 - 26388586645821*x^17 + 4534478469577*x^16 + 96402875532632*x^15 - 39927895710530*x^14 - 219325332502114*x^13 + 73075426941692*x^12 + 286730467695148*x^11 - 73075426941692*x^10 - 219325332502114*x^9 + 39927895710530*x^8 + 96402875532632*x^7 - 4534478469577*x^6 - 26388586645821*x^5 - 2127235898078*x^4 + 3268260459922*x^3 + 787396271270*x^2 + 22790133663*x - 4145451651) + sqrt(2)*(19518507459*x^22 - 258433982565*x^21 + 1268510129270*x^20 - 4641107948794*x^19 + 7873387874194*x^18 + 42079083144127*x^17 - 120347500997751*x^16 - 207088711742488*x^15 + 446369667432350*x^14 + 582726984044198*x^13 - 747970503528716*x^12 - 801333993329116*x^11 + 747970503528716*x^10 + 582726984044198*x^9 - 446369667432350*x^8 - 207088711742488*x^7 + 120347500997751*x^6 + 42079083144127*x^5 - 7873387874194*x^4 - 4641107948794*x^3 - 1268510129270*x^2 - 258433982565*x - 19518507459)))*sqrt(3*sqrt(13) + 13) - 5*sqrt(13)*(2*(419409782458524*x^22 - 734551553772036*x^21 - 18129135798825480*x^20 + 46342415724970040*x^19 + 147660832091121960*x^18 - 281814250716297780*x^17 - 771997052407149868*x^16 + 581202262545036704*x^15 + 1981992402699630360*x^14 - 560878898811974600*x^13 - 2949154913394612208*x^12 + 508183375662515280*x^11 + 2949154913394612208*x^10 - 560878898811974600*x^9 - 1981992402699630360*x^8 + 581202262545036704*x^7 + 771997052407149868*x^6 - 281814250716297780*x^5 - 147660832091121960*x^4 + 46342415724970040*x^3 + 18129135798825480*x^2 + sqrt(13)*(114360666044625*x^22 - 82159206468300*x^21 - 5119203489735075*x^20 + 9000368541541000*x^19 + 50566728981273375*x^18 - 68694538787756700*x^17 - 265377087786179525*x^16 + 188115112145740000*x^15 + 743684297270684250*x^14 - 260846258391823000*x^13 - 1192582070334467150*x^12 + 273495485225118000*x^11 + 1192582070334467150*x^10 - 260846258391823000*x^9 - 743684297270684250*x^8 + 188115112145740000*x^7 + 265377087786179525*x^6 - 68694538787756700*x^5 - 50566728981273375*x^4 + 9000368541541000*x^3 + 5119203489735075*x^2 + sqrt(13)*(32174649863631*x^22 - 54667700989668*x^21 - 1161454885034925*x^20 + 2231591213841080*x^19 + 11317460228134065*x^18 - 15147501756126036*x^17 - 57433522492693531*x^16 + 36165933376158752*x^15 + 149046541912200870*x^14 - 51483285976208840*x^13 - 232497595537749778*x^12 + 55228511827706448*x^11 + 232497595537749778*x^10 - 51483285976208840*x^9 - 149046541912200870*x^8 + 36165933376158752*x^7 + 57433522492693531*x^6 - 15147501756126036*x^5 - 11317460228134065*x^4 + 2231591213841080*x^3 + 1161454885034925*x^2 - 54667700989668*x - 32174649863631) - 82159206468300*x - 114360666044625) + 16900*sqrt(13)*(6910217919*x^22 - 14188512393*x^21 - 264938196402*x^20 + 560173342750*x^19 + 2885410276890*x^18 - 4195778936853*x^17 - 16049843908931*x^16 + 10659197774440*x^15 + 43981621047990*x^14 - 15468175661410*x^13 - 70387829519228*x^12 + 16724046063348*x^11 + 70387829519228*x^10 - 15468175661410*x^9 - 43981621047990*x^8 + 10659197774440*x^7 + 16049843908931*x^6 - 4195778936853*x^5 - 2885410276890*x^4 + 560173342750*x^3 + 264938196402*x^2 - 14188512393*x - 6910217919) - 734551553772036*x - 419409782458524)*sqrt(x^4 + x^3 - x^2 - x + 1) - (13^(3/4)*(sqrt(13)*sqrt(2)*(5064601110759*x^24 - 15935521225248*x^23 - 145953298037646*x^22 + 442342162318472*x^21 + 1509242233362130*x^20 - 3824593137929864*x^19 - 9272490241084918*x^18 + 15231739690849728*x^17 + 35123888634951257*x^16 - 29158744370317408*x^15 - 72121852990916732*x^14 + 37093947378248880*x^13 + 90527094861258716*x^12 - 37093947378248880*x^11 - 72121852990916732*x^10 + 29158744370317408*x^9 + 35123888634951257*x^8 - 15231739690849728*x^7 - 9272490241084918*x^6 + 3824593137929864*x^5 + 1509242233362130*x^4 - 442342162318472*x^3 - 145953298037646*x^2 + 15935521225248*x + 5064601110759) + 2*sqrt(2)*(8344585217061*x^24 + 22313480635683*x^23 - 454941103887909*x^22 - 29015155993837*x^21 + 5263571461584220*x^20 + 1350672090063169*x^19 - 28025155569909697*x^18 - 17323853348703663*x^17 + 71709452405276003*x^16 + 53329447307333918*x^15 - 117861135465169178*x^14 - 87340455501519330*x^13 + 137540784460766264*x^12 + 87340455501519330*x^11 - 117861135465169178*x^10 - 53329447307333918*x^9 + 71709452405276003*x^8 + 17323853348703663*x^7 - 28025155569909697*x^6 - 1350672090063169*x^5 + 5263571461584220*x^4 + 29015155993837*x^3 - 454941103887909*x^2 - 22313480635683*x + 8344585217061)) + 2*13^(1/4)*(sqrt(13)*sqrt(2)*(8950902551613*x^24 - 17420951995029*x^23 - 280276398361365*x^22 + 267465288044777*x^21 + 3726162631678360*x^20 - 556533136788845*x^19 - 23463111563130721*x^18 - 10788785991868263*x^17 + 71350869932571899*x^16 + 52559233428319022*x^15 - 121657174574889866*x^14 - 96889156840890966*x^13 + 143212893636486752*x^12 + 96889156840890966*x^11 - 121657174574889866*x^10 - 52559233428319022*x^9 + 71350869932571899*x^8 + 10788785991868263*x^7 - 23463111563130721*x^6 + 556533136788845*x^5 + 3726162631678360*x^4 - 267465288044777*x^3 - 280276398361365*x^2 + 17420951995029*x + 8950902551613) + 13*sqrt(2)*(2421742919211*x^24 - 354297570363*x^23 - 128501377823955*x^22 + 245465593952119*x^21 + 1223894974340720*x^20 - 1990800605349715*x^19 - 6408712012034087*x^18 + 6584370631518039*x^17 + 18374848734437053*x^16 - 14112688088835566*x^15 - 34459812164567302*x^14 + 19949971913218998*x^13 + 42245657417848144*x^12 - 19949971913218998*x^11 - 34459812164567302*x^10 + 14112688088835566*x^9 + 18374848734437053*x^8 - 6584370631518039*x^7 - 6408712012034087*x^6 + 1990800605349715*x^5 + 1223894974340720*x^4 - 245465593952119*x^3 - 128501377823955*x^2 + 354297570363*x + 2421742919211)))*sqrt(3*sqrt(13) + 13))*sqrt((52*x^4 + 52*x^3 + 13^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(sqrt(13)*sqrt(2)*(x^2 + 2*x - 1) + sqrt(2)*(5*x^2 - 2*x - 5))*sqrt(3*sqrt(13) + 13) - 52*x^2 + sqrt(13)*(17*x^4 + 20*x^3 - 26*x^2 - 20*x + 17) - 52*x + 52)/(x^4 + 2*x^2 + 1)) + 12675*sqrt(13)*(177838764957*x^24 + 3282751894572*x^23 - 12363069681816*x^22 - 47326717811724*x^21 + 72293202696770*x^20 + 288662813058588*x^19 + 55148659933960*x^18 - 345299438215612*x^17 - 172702607180557*x^16 - 87498335053544*x^15 - 32309816748656*x^14 + 597073385926952*x^13 + 221414678444636*x^12 - 597073385926952*x^11 - 32309816748656*x^10 + 87498335053544*x^9 - 172702607180557*x^8 + 345299438215612*x^7 + 55148659933960*x^6 - 288662813058588*x^5 + 72293202696770*x^4 + 47326717811724*x^3 - 12363069681816*x^2 - 3282751894572*x + 177838764957) + 50700*sqrt(13)*(67029569739*x^24 - 597586574235*x^23 - 446407157383*x^22 + 8646734742891*x^21 + 6344564056940*x^20 - 42154169717695*x^19 - 55151396492523*x^18 + 27807985037327*x^17 + 50679508980909*x^16 + 24831639280746*x^15 + 52238368574322*x^14 - 54374836791402*x^13 - 120901075366344*x^12 + 54374836791402*x^11 + 52238368574322*x^10 - 24831639280746*x^9 + 50679508980909*x^8 - 27807985037327*x^7 - 55151396492523*x^6 + 42154169717695*x^5 + 6344564056940*x^4 - 8646734742891*x^3 - 446407157383*x^2 + sqrt(13)*(15948545679*x^24 + 18290888373*x^23 - 1587820781015*x^22 + 3527145459591*x^21 + 19118859600980*x^20 - 33894946115435*x^19 - 125610923441243*x^18 + 109747557102911*x^17 + 436323477217897*x^16 - 158309885652374*x^15 - 848740127958478*x^14 + 153014850561262*x^13 + 1047025675744616*x^12 - 153014850561262*x^11 - 848740127958478*x^10 + 158309885652374*x^9 + 436323477217897*x^8 - 109747557102911*x^7 - 125610923441243*x^6 + 33894946115435*x^5 + 19118859600980*x^4 - 3527145459591*x^3 - 1587820781015*x^2 - 18290888373*x + 15948545679) + 597586574235*x + 67029569739) - 22127143477092732*x + 9973402820649333)/(33216827121477*x^24 - 2060726880350592*x^23 + 1431075537830988*x^22 + 83828069684567680*x^21 - 145619826687334470*x^20 - 798797730254046208*x^19 + 1013303893827450652*x^18 + 4124312348255593984*x^17 - 2350198326509186389*x^16 - 10945125280902753920*x^15 + 2837136293429528728*x^14 + 17083854766580127616*x^13 - 2801179578979740500*x^12 - 17083854766580127616*x^11 + 2837136293429528728*x^10 + 10945125280902753920*x^9 - 2350198326509186389*x^8 - 4124312348255593984*x^7 + 1013303893827450652*x^6 + 798797730254046208*x^5 - 145619826687334470*x^4 - 83828069684567680*x^3 + 1431075537830988*x^2 + 2060726880350592*x + 33216827121477)) - 13^(1/4)*(3*sqrt(13)*sqrt(2)*x - 13*sqrt(2)*x)*sqrt(3*sqrt(13) + 13)*log(1300*(52*x^4 + 52*x^3 + 13^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(sqrt(13)*sqrt(2)*(x^2 + 2*x - 1) + sqrt(2)*(5*x^2 - 2*x - 5))*sqrt(3*sqrt(13) + 13) - 52*x^2 + sqrt(13)*(17*x^4 + 20*x^3 - 26*x^2 - 20*x + 17) - 52*x + 52)/(x^4 + 2*x^2 + 1)) + 13^(1/4)*(3*sqrt(13)*sqrt(2)*x - 13*sqrt(2)*x)*sqrt(3*sqrt(13) + 13)*log(1300*(52*x^4 + 52*x^3 - 13^(1/4)*sqrt(x^4 + x^3 - x^2 - x + 1)*(sqrt(13)*sqrt(2)*(x^2 + 2*x - 1) + sqrt(2)*(5*x^2 - 2*x - 5))*sqrt(3*sqrt(13) + 13) - 52*x^2 + sqrt(13)*(17*x^4 + 20*x^3 - 26*x^2 - 20*x + 17) - 52*x + 52)/(x^4 + 2*x^2 + 1)) - 104*x*log(-(2*x^2 + x + 2*sqrt(x^4 + x^3 - x^2 - x + 1) - 2)/x) - 208*sqrt(x^4 + x^3 - x^2 - x + 1))/x","B",0
2741,1,521,0,5.306549," ","integrate((x^3-1)^(2/3)*(x^3+4)/x^6/(x^6-x^3-2),x, algorithm=""fricas"")","-\frac{80 \, \sqrt{3} \left(-4\right)^{\frac{1}{3}} x^{5} \arctan\left(\frac{3 \, \sqrt{3} \left(-4\right)^{\frac{2}{3}} {\left(5 \, x^{7} + 4 \, x^{4} - x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} + 6 \, \sqrt{3} \left(-4\right)^{\frac{1}{3}} {\left(19 \, x^{8} - 16 \, x^{5} + x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}} - \sqrt{3} {\left(71 \, x^{9} - 111 \, x^{6} + 33 \, x^{3} - 1\right)}}{3 \, {\left(109 \, x^{9} - 105 \, x^{6} + 3 \, x^{3} + 1\right)}}\right) - 20 \cdot 4^{\frac{1}{6}} \sqrt{3} x^{5} \arctan\left(\frac{4^{\frac{1}{6}} {\left(12 \cdot 4^{\frac{2}{3}} \sqrt{3} {\left(2 \, x^{7} - 5 \, x^{4} + 2 \, x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} \sqrt{3} {\left(91 \, x^{9} - 168 \, x^{6} + 84 \, x^{3} - 8\right)} + 12 \, \sqrt{3} {\left(19 \, x^{8} - 22 \, x^{5} + 4 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}\right)}}{6 \, {\left(53 \, x^{9} - 48 \, x^{6} - 12 \, x^{3} + 8\right)}}\right) - 10 \cdot 4^{\frac{2}{3}} x^{5} \log\left(\frac{6 \cdot 4^{\frac{1}{3}} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 4^{\frac{2}{3}} {\left(x^{3} - 2\right)} - 12 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x}{x^{3} - 2}\right) + 5 \cdot 4^{\frac{2}{3}} x^{5} \log\left(\frac{6 \cdot 4^{\frac{2}{3}} {\left(2 \, x^{4} - x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} {\left(19 \, x^{6} - 22 \, x^{3} + 4\right)} + 6 \, {\left(5 \, x^{5} - 4 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x^{6} - 4 \, x^{3} + 4}\right) - 80 \, \left(-4\right)^{\frac{1}{3}} x^{5} \log\left(-\frac{3 \, \left(-4\right)^{\frac{2}{3}} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} - 6 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x + \left(-4\right)^{\frac{1}{3}} {\left(x^{3} + 1\right)}}{x^{3} + 1}\right) + 40 \, \left(-4\right)^{\frac{1}{3}} x^{5} \log\left(-\frac{6 \, \left(-4\right)^{\frac{1}{3}} {\left(5 \, x^{4} - x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} - \left(-4\right)^{\frac{2}{3}} {\left(19 \, x^{6} - 16 \, x^{3} + 1\right)} - 24 \, {\left(2 \, x^{5} - x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x^{6} + 2 \, x^{3} + 1}\right) + 36 \, {\left(13 \, x^{3} - 8\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{720 \, x^{5}}"," ",0,"-1/720*(80*sqrt(3)*(-4)^(1/3)*x^5*arctan(1/3*(3*sqrt(3)*(-4)^(2/3)*(5*x^7 + 4*x^4 - x)*(x^3 - 1)^(2/3) + 6*sqrt(3)*(-4)^(1/3)*(19*x^8 - 16*x^5 + x^2)*(x^3 - 1)^(1/3) - sqrt(3)*(71*x^9 - 111*x^6 + 33*x^3 - 1))/(109*x^9 - 105*x^6 + 3*x^3 + 1)) - 20*4^(1/6)*sqrt(3)*x^5*arctan(1/6*4^(1/6)*(12*4^(2/3)*sqrt(3)*(2*x^7 - 5*x^4 + 2*x)*(x^3 - 1)^(2/3) + 4^(1/3)*sqrt(3)*(91*x^9 - 168*x^6 + 84*x^3 - 8) + 12*sqrt(3)*(19*x^8 - 22*x^5 + 4*x^2)*(x^3 - 1)^(1/3))/(53*x^9 - 48*x^6 - 12*x^3 + 8)) - 10*4^(2/3)*x^5*log((6*4^(1/3)*(x^3 - 1)^(1/3)*x^2 + 4^(2/3)*(x^3 - 2) - 12*(x^3 - 1)^(2/3)*x)/(x^3 - 2)) + 5*4^(2/3)*x^5*log((6*4^(2/3)*(2*x^4 - x)*(x^3 - 1)^(2/3) + 4^(1/3)*(19*x^6 - 22*x^3 + 4) + 6*(5*x^5 - 4*x^2)*(x^3 - 1)^(1/3))/(x^6 - 4*x^3 + 4)) - 80*(-4)^(1/3)*x^5*log(-(3*(-4)^(2/3)*(x^3 - 1)^(1/3)*x^2 - 6*(x^3 - 1)^(2/3)*x + (-4)^(1/3)*(x^3 + 1))/(x^3 + 1)) + 40*(-4)^(1/3)*x^5*log(-(6*(-4)^(1/3)*(5*x^4 - x)*(x^3 - 1)^(2/3) - (-4)^(2/3)*(19*x^6 - 16*x^3 + 1) - 24*(2*x^5 - x^2)*(x^3 - 1)^(1/3))/(x^6 + 2*x^3 + 1)) + 36*(13*x^3 - 8)*(x^3 - 1)^(2/3))/x^5","B",0
2742,1,255,0,0.625329," ","integrate((c+(a*x+(a^2*x^2-b)^(1/2))^(1/4))^(1/3)/(a^2*x^2-b)^(1/2)/(a*x+(a^2*x^2-b)^(1/2))^(1/4),x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, \sqrt{3} b {\left(c^{2}\right)}^{\frac{1}{6}} c \arctan\left(\frac{\sqrt{3} \sqrt{c^{2}} c + 2 \, \sqrt{3} {\left(c^{2}\right)}^{\frac{5}{6}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}}{3 \, c^{2}}\right) + b {\left(c^{2}\right)}^{\frac{2}{3}} \log\left({\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}} c + {\left(c^{2}\right)}^{\frac{1}{3}} c + {\left(c^{2}\right)}^{\frac{2}{3}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}\right) - 2 \, b {\left(c^{2}\right)}^{\frac{2}{3}} \log\left({\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} c - {\left(c^{2}\right)}^{\frac{2}{3}}\right) + 6 \, {\left(a c^{2} x - \sqrt{a^{2} x^{2} - b} c^{2}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}\right)}}{3 \, a b c^{2}}"," ",0,"-2/3*(2*sqrt(3)*b*(c^2)^(1/6)*c*arctan(1/3*(sqrt(3)*sqrt(c^2)*c + 2*sqrt(3)*(c^2)^(5/6)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3))/c^2) + b*(c^2)^(2/3)*log((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3)*c + (c^2)^(1/3)*c + (c^2)^(2/3)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)) - 2*b*(c^2)^(2/3)*log((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)*c - (c^2)^(2/3)) + 6*(a*c^2*x - sqrt(a^2*x^2 - b)*c^2)*(a*x + sqrt(a^2*x^2 - b))^(3/4)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3))/(a*b*c^2)","A",0
2743,1,438,0,0.518372," ","integrate((x^2+x)*(x^4+x^3)^(1/4)/(x^2+x-1),x, algorithm=""fricas"")","\frac{2}{5} \, \sqrt{5} \sqrt{2 \, \sqrt{5} - 2} \arctan\left(\frac{\sqrt{2} x \sqrt{2 \, \sqrt{5} - 2} \sqrt{\frac{\sqrt{5} x^{2} + x^{2} + 2 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} \sqrt{2 \, \sqrt{5} - 2}}{4 \, x}\right) + \frac{2}{5} \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 2} \arctan\left(\frac{\sqrt{2} x \sqrt{2 \, \sqrt{5} + 2} \sqrt{\frac{\sqrt{5} x^{2} - x^{2} + 2 \, \sqrt{x^{4} + x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} \sqrt{2 \, \sqrt{5} + 2}}{4 \, x}\right) - \frac{1}{10} \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 2} \log\left(\frac{{\left(\sqrt{5} x - x\right)} \sqrt{2 \, \sqrt{5} + 2} + 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{10} \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 2} \log\left(-\frac{{\left(\sqrt{5} x - x\right)} \sqrt{2 \, \sqrt{5} + 2} - 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{10} \, \sqrt{5} \sqrt{2 \, \sqrt{5} - 2} \log\left(\frac{{\left(\sqrt{5} x + x\right)} \sqrt{2 \, \sqrt{5} - 2} + 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{10} \, \sqrt{5} \sqrt{2 \, \sqrt{5} - 2} \log\left(-\frac{{\left(\sqrt{5} x + x\right)} \sqrt{2 \, \sqrt{5} - 2} - 4 \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{8} \, {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(4 \, x + 1\right)} + \frac{29}{16} \, \arctan\left(\frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{29}{32} \, \log\left(\frac{x + {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{29}{32} \, \log\left(-\frac{x - {\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"2/5*sqrt(5)*sqrt(2*sqrt(5) - 2)*arctan(1/4*(sqrt(2)*x*sqrt(2*sqrt(5) - 2)*sqrt((sqrt(5)*x^2 + x^2 + 2*sqrt(x^4 + x^3))/x^2) - 2*(x^4 + x^3)^(1/4)*sqrt(2*sqrt(5) - 2))/x) + 2/5*sqrt(5)*sqrt(2*sqrt(5) + 2)*arctan(1/4*(sqrt(2)*x*sqrt(2*sqrt(5) + 2)*sqrt((sqrt(5)*x^2 - x^2 + 2*sqrt(x^4 + x^3))/x^2) - 2*(x^4 + x^3)^(1/4)*sqrt(2*sqrt(5) + 2))/x) - 1/10*sqrt(5)*sqrt(2*sqrt(5) + 2)*log(((sqrt(5)*x - x)*sqrt(2*sqrt(5) + 2) + 4*(x^4 + x^3)^(1/4))/x) + 1/10*sqrt(5)*sqrt(2*sqrt(5) + 2)*log(-((sqrt(5)*x - x)*sqrt(2*sqrt(5) + 2) - 4*(x^4 + x^3)^(1/4))/x) - 1/10*sqrt(5)*sqrt(2*sqrt(5) - 2)*log(((sqrt(5)*x + x)*sqrt(2*sqrt(5) - 2) + 4*(x^4 + x^3)^(1/4))/x) + 1/10*sqrt(5)*sqrt(2*sqrt(5) - 2)*log(-((sqrt(5)*x + x)*sqrt(2*sqrt(5) - 2) - 4*(x^4 + x^3)^(1/4))/x) + 1/8*(x^4 + x^3)^(1/4)*(4*x + 1) + 29/16*arctan((x^4 + x^3)^(1/4)/x) + 29/32*log((x + (x^4 + x^3)^(1/4))/x) - 29/32*log(-(x - (x^4 + x^3)^(1/4))/x)","B",0
2744,1,498,0,0.496153," ","integrate((x^4+b)^2/(x^20+a*x^16+4*b*x^16+4*a*b*x^12+6*b^2*x^12+6*a*b^2*x^8+4*b^3*x^8+4*a*b^3*x^4+b^4*x^4+a*b^4)^(1/4),x, algorithm=""fricas"")","\frac{2 \, {\left({\left(a - 4 \, b\right)} x^{12} + 3 \, {\left(a b - 4 \, b^{2}\right)} x^{8} + 3 \, {\left(a b^{2} - 4 \, b^{3}\right)} x^{4} + a b^{3} - 4 \, b^{4}\right)} \arctan\left(\frac{{\left(x^{20} + {\left(a + 4 \, b\right)} x^{16} + 2 \, {\left(2 \, a b + 3 \, b^{2}\right)} x^{12} + 2 \, {\left(3 \, a b^{2} + 2 \, b^{3}\right)} x^{8} + a b^{4} + {\left(4 \, a b^{3} + b^{4}\right)} x^{4}\right)}^{\frac{1}{4}}}{x^{5} + b x}\right) - {\left({\left(a - 4 \, b\right)} x^{12} + 3 \, {\left(a b - 4 \, b^{2}\right)} x^{8} + 3 \, {\left(a b^{2} - 4 \, b^{3}\right)} x^{4} + a b^{3} - 4 \, b^{4}\right)} \log\left(\frac{x^{5} + b x + {\left(x^{20} + {\left(a + 4 \, b\right)} x^{16} + 2 \, {\left(2 \, a b + 3 \, b^{2}\right)} x^{12} + 2 \, {\left(3 \, a b^{2} + 2 \, b^{3}\right)} x^{8} + a b^{4} + {\left(4 \, a b^{3} + b^{4}\right)} x^{4}\right)}^{\frac{1}{4}}}{x^{5} + b x}\right) + {\left({\left(a - 4 \, b\right)} x^{12} + 3 \, {\left(a b - 4 \, b^{2}\right)} x^{8} + 3 \, {\left(a b^{2} - 4 \, b^{3}\right)} x^{4} + a b^{3} - 4 \, b^{4}\right)} \log\left(-\frac{x^{5} + b x - {\left(x^{20} + {\left(a + 4 \, b\right)} x^{16} + 2 \, {\left(2 \, a b + 3 \, b^{2}\right)} x^{12} + 2 \, {\left(3 \, a b^{2} + 2 \, b^{3}\right)} x^{8} + a b^{4} + {\left(4 \, a b^{3} + b^{4}\right)} x^{4}\right)}^{\frac{1}{4}}}{x^{5} + b x}\right) + 4 \, {\left(x^{20} + {\left(a + 4 \, b\right)} x^{16} + 2 \, {\left(2 \, a b + 3 \, b^{2}\right)} x^{12} + 2 \, {\left(3 \, a b^{2} + 2 \, b^{3}\right)} x^{8} + a b^{4} + {\left(4 \, a b^{3} + b^{4}\right)} x^{4}\right)}^{\frac{3}{4}} x}{16 \, {\left(x^{12} + 3 \, b x^{8} + 3 \, b^{2} x^{4} + b^{3}\right)}}"," ",0,"1/16*(2*((a - 4*b)*x^12 + 3*(a*b - 4*b^2)*x^8 + 3*(a*b^2 - 4*b^3)*x^4 + a*b^3 - 4*b^4)*arctan((x^20 + (a + 4*b)*x^16 + 2*(2*a*b + 3*b^2)*x^12 + 2*(3*a*b^2 + 2*b^3)*x^8 + a*b^4 + (4*a*b^3 + b^4)*x^4)^(1/4)/(x^5 + b*x)) - ((a - 4*b)*x^12 + 3*(a*b - 4*b^2)*x^8 + 3*(a*b^2 - 4*b^3)*x^4 + a*b^3 - 4*b^4)*log((x^5 + b*x + (x^20 + (a + 4*b)*x^16 + 2*(2*a*b + 3*b^2)*x^12 + 2*(3*a*b^2 + 2*b^3)*x^8 + a*b^4 + (4*a*b^3 + b^4)*x^4)^(1/4))/(x^5 + b*x)) + ((a - 4*b)*x^12 + 3*(a*b - 4*b^2)*x^8 + 3*(a*b^2 - 4*b^3)*x^4 + a*b^3 - 4*b^4)*log(-(x^5 + b*x - (x^20 + (a + 4*b)*x^16 + 2*(2*a*b + 3*b^2)*x^12 + 2*(3*a*b^2 + 2*b^3)*x^8 + a*b^4 + (4*a*b^3 + b^4)*x^4)^(1/4))/(x^5 + b*x)) + 4*(x^20 + (a + 4*b)*x^16 + 2*(2*a*b + 3*b^2)*x^12 + 2*(3*a*b^2 + 2*b^3)*x^8 + a*b^4 + (4*a*b^3 + b^4)*x^4)^(3/4)*x)/(x^12 + 3*b*x^8 + 3*b^2*x^4 + b^3)","B",0
2745,-1,0,0,0.000000," ","integrate((2*p*x^3-q)*(p^2*x^6+2*p*q*x^3-2*p*q*x^2+q^2)^(1/2)*(b*x^4+a*(p*x^3+q)^4)/x^7,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2746,-1,0,0,0.000000," ","integrate((1-(x-(x^2+1)^(1/2))^(1/2))/(x^4-2*x^2*(x^2+1)^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2747,1,590,0,0.824474," ","integrate(1/(a^2*x^2-b)^(1/2)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/4))^(1/6),x, algorithm=""fricas"")","-8 \, \sqrt{3} \left(\frac{1}{a^{6} c}\right)^{\frac{1}{6}} \arctan\left(\frac{2}{3} \, \sqrt{3} \sqrt{a^{5} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}} c \left(\frac{1}{a^{6} c}\right)^{\frac{5}{6}} + a^{4} c \left(\frac{1}{a^{6} c}\right)^{\frac{2}{3}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}} a \left(\frac{1}{a^{6} c}\right)^{\frac{1}{6}} - \frac{2}{3} \, \sqrt{3} a {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}} \left(\frac{1}{a^{6} c}\right)^{\frac{1}{6}} - \frac{1}{3} \, \sqrt{3}\right) - 8 \, \sqrt{3} \left(\frac{1}{a^{6} c}\right)^{\frac{1}{6}} \arctan\left(\frac{1}{3} \, \sqrt{3} \sqrt{-4 \, a^{5} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}} c \left(\frac{1}{a^{6} c}\right)^{\frac{5}{6}} + 4 \, a^{4} c \left(\frac{1}{a^{6} c}\right)^{\frac{2}{3}} + 4 \, {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}} a \left(\frac{1}{a^{6} c}\right)^{\frac{1}{6}} - \frac{2}{3} \, \sqrt{3} a {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}} \left(\frac{1}{a^{6} c}\right)^{\frac{1}{6}} + \frac{1}{3} \, \sqrt{3}\right) - 2 \, \left(\frac{1}{a^{6} c}\right)^{\frac{1}{6}} \log\left(4 \, a^{5} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}} c \left(\frac{1}{a^{6} c}\right)^{\frac{5}{6}} + 4 \, a^{4} c \left(\frac{1}{a^{6} c}\right)^{\frac{2}{3}} + 4 \, {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}\right) + 2 \, \left(\frac{1}{a^{6} c}\right)^{\frac{1}{6}} \log\left(-4 \, a^{5} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}} c \left(\frac{1}{a^{6} c}\right)^{\frac{5}{6}} + 4 \, a^{4} c \left(\frac{1}{a^{6} c}\right)^{\frac{2}{3}} + 4 \, {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}\right) - 4 \, \left(\frac{1}{a^{6} c}\right)^{\frac{1}{6}} \log\left(a^{5} c \left(\frac{1}{a^{6} c}\right)^{\frac{5}{6}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}}\right) + 4 \, \left(\frac{1}{a^{6} c}\right)^{\frac{1}{6}} \log\left(-a^{5} c \left(\frac{1}{a^{6} c}\right)^{\frac{5}{6}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}}\right)"," ",0,"-8*sqrt(3)*(1/(a^6*c))^(1/6)*arctan(2/3*sqrt(3)*sqrt(a^5*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)*c*(1/(a^6*c))^(5/6) + a^4*c*(1/(a^6*c))^(2/3) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3))*a*(1/(a^6*c))^(1/6) - 2/3*sqrt(3)*a*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)*(1/(a^6*c))^(1/6) - 1/3*sqrt(3)) - 8*sqrt(3)*(1/(a^6*c))^(1/6)*arctan(1/3*sqrt(3)*sqrt(-4*a^5*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)*c*(1/(a^6*c))^(5/6) + 4*a^4*c*(1/(a^6*c))^(2/3) + 4*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3))*a*(1/(a^6*c))^(1/6) - 2/3*sqrt(3)*a*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)*(1/(a^6*c))^(1/6) + 1/3*sqrt(3)) - 2*(1/(a^6*c))^(1/6)*log(4*a^5*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)*c*(1/(a^6*c))^(5/6) + 4*a^4*c*(1/(a^6*c))^(2/3) + 4*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)) + 2*(1/(a^6*c))^(1/6)*log(-4*a^5*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)*c*(1/(a^6*c))^(5/6) + 4*a^4*c*(1/(a^6*c))^(2/3) + 4*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)) - 4*(1/(a^6*c))^(1/6)*log(a^5*c*(1/(a^6*c))^(5/6) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)) + 4*(1/(a^6*c))^(1/6)*log(-a^5*c*(1/(a^6*c))^(5/6) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6))","B",0
2748,-1,0,0,0.000000," ","integrate(((-2*k^2+1)*x+k^2*x^3)/((-x^2+1)*(-k^2*x^2+1))^(1/3)/(-1+d+(-2*d*k^2+1)*x^2+d*k^4*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2749,-1,0,0,0.000000," ","integrate(((-k^2+2)*x-2*x^3+k^2*x^5)/((-x^2+1)*(-k^2*x^2+1))^(2/3)/(1-d+(d*k^2-2)*x^2+x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2750,1,1255,0,35.905706," ","integrate((x^4-1)*(x^4-x^2)^(1/4)/(x^4-x^2-1),x, algorithm=""fricas"")","-\frac{1}{10} \, \sqrt{10} \sqrt{\sqrt{5} + 1} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{10} \sqrt{x^{4} - x^{2}} {\left(430 \, x^{3} - \sqrt{5} {\left(448 \, x^{3} - 439 \, x\right)} - 1335 \, x\right)} - \sqrt{10} {\left(1120 \, x^{5} - 1550 \, x^{3} - \sqrt{5} {\left(215 \, x^{5} - 663 \, x^{3} + 224 \, x\right)} + 215 \, x\right)}\right)} \sqrt{40157 \, \sqrt{5} + 36899} \sqrt{\sqrt{5} + 1} + 81862 \, {\left(\sqrt{10} {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}} {\left(\sqrt{5} {\left(2 \, x^{2} - 1\right)} + 5\right)} + \sqrt{10} {\left(5 \, x^{4} - 5 \, x^{2} - \sqrt{5} {\left(x^{4} - 3 \, x^{2}\right)}\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{\sqrt{5} + 1}}{818620 \, {\left(x^{5} - x^{3} - x\right)}}\right) - \frac{1}{10} \, \sqrt{10} \sqrt{\sqrt{5} - 1} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{10} \sqrt{x^{4} - x^{2}} {\left(430 \, x^{3} + \sqrt{5} {\left(448 \, x^{3} - 439 \, x\right)} - 1335 \, x\right)} + \sqrt{10} {\left(1120 \, x^{5} - 1550 \, x^{3} + \sqrt{5} {\left(215 \, x^{5} - 663 \, x^{3} + 224 \, x\right)} + 215 \, x\right)}\right)} \sqrt{40157 \, \sqrt{5} - 36899} \sqrt{\sqrt{5} - 1} + 81862 \, {\left(\sqrt{10} {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}} {\left(\sqrt{5} {\left(2 \, x^{2} - 1\right)} - 5\right)} + \sqrt{10} {\left(5 \, x^{4} - 5 \, x^{2} + \sqrt{5} {\left(x^{4} - 3 \, x^{2}\right)}\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}}\right)} \sqrt{\sqrt{5} - 1}}{818620 \, {\left(x^{5} - x^{3} - x\right)}}\right) - \frac{1}{40} \, \sqrt{10} \sqrt{\sqrt{5} + 1} \log\left(\frac{20 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}} {\left(448 \, x^{2} + \sqrt{5} {\left(86 \, x^{2} + 181\right)} - 9\right)} + {\left(2 \, \sqrt{10} \sqrt{x^{4} - x^{2}} {\left(905 \, x^{3} - \sqrt{5} {\left(9 \, x^{3} - 457 \, x\right)} - 475 \, x\right)} - \sqrt{10} {\left(45 \, x^{5} - 1855 \, x^{3} - \sqrt{5} {\left(905 \, x^{5} - 923 \, x^{3} + 9 \, x\right)} + 905 \, x\right)}\right)} \sqrt{\sqrt{5} + 1} - 20 \, {\left(9 \, x^{4} - 457 \, x^{2} - \sqrt{5} {\left(181 \, x^{4} - 95 \, x^{2}\right)}\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}}}{x^{5} - x^{3} - x}\right) + \frac{1}{40} \, \sqrt{10} \sqrt{\sqrt{5} + 1} \log\left(\frac{20 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}} {\left(448 \, x^{2} + \sqrt{5} {\left(86 \, x^{2} + 181\right)} - 9\right)} - {\left(2 \, \sqrt{10} \sqrt{x^{4} - x^{2}} {\left(905 \, x^{3} - \sqrt{5} {\left(9 \, x^{3} - 457 \, x\right)} - 475 \, x\right)} - \sqrt{10} {\left(45 \, x^{5} - 1855 \, x^{3} - \sqrt{5} {\left(905 \, x^{5} - 923 \, x^{3} + 9 \, x\right)} + 905 \, x\right)}\right)} \sqrt{\sqrt{5} + 1} - 20 \, {\left(9 \, x^{4} - 457 \, x^{2} - \sqrt{5} {\left(181 \, x^{4} - 95 \, x^{2}\right)}\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}}}{x^{5} - x^{3} - x}\right) - \frac{1}{40} \, \sqrt{10} \sqrt{\sqrt{5} - 1} \log\left(\frac{20 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}} {\left(448 \, x^{2} - \sqrt{5} {\left(86 \, x^{2} + 181\right)} - 9\right)} + {\left(2 \, \sqrt{10} \sqrt{x^{4} - x^{2}} {\left(905 \, x^{3} + \sqrt{5} {\left(9 \, x^{3} - 457 \, x\right)} - 475 \, x\right)} + \sqrt{10} {\left(45 \, x^{5} - 1855 \, x^{3} + \sqrt{5} {\left(905 \, x^{5} - 923 \, x^{3} + 9 \, x\right)} + 905 \, x\right)}\right)} \sqrt{\sqrt{5} - 1} + 20 \, {\left(9 \, x^{4} - 457 \, x^{2} + \sqrt{5} {\left(181 \, x^{4} - 95 \, x^{2}\right)}\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}}}{x^{5} - x^{3} - x}\right) + \frac{1}{40} \, \sqrt{10} \sqrt{\sqrt{5} - 1} \log\left(\frac{20 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}} {\left(448 \, x^{2} - \sqrt{5} {\left(86 \, x^{2} + 181\right)} - 9\right)} - {\left(2 \, \sqrt{10} \sqrt{x^{4} - x^{2}} {\left(905 \, x^{3} + \sqrt{5} {\left(9 \, x^{3} - 457 \, x\right)} - 475 \, x\right)} + \sqrt{10} {\left(45 \, x^{5} - 1855 \, x^{3} + \sqrt{5} {\left(905 \, x^{5} - 923 \, x^{3} + 9 \, x\right)} + 905 \, x\right)}\right)} \sqrt{\sqrt{5} - 1} + 20 \, {\left(9 \, x^{4} - 457 \, x^{2} + \sqrt{5} {\left(181 \, x^{4} - 95 \, x^{2}\right)}\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}}}{x^{5} - x^{3} - x}\right) + \frac{1}{2} \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x + \frac{3}{8} \, \arctan\left(\frac{2 \, {\left({\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} + {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}\right)}}{x}\right) + \frac{3}{8} \, \log\left(\frac{2 \, x^{3} + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2} + 2 \, \sqrt{x^{4} - x^{2}} x - x + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{3}{4}}}{x}\right)"," ",0,"-1/10*sqrt(10)*sqrt(sqrt(5) + 1)*arctan(-1/818620*(sqrt(2)*(sqrt(10)*sqrt(x^4 - x^2)*(430*x^3 - sqrt(5)*(448*x^3 - 439*x) - 1335*x) - sqrt(10)*(1120*x^5 - 1550*x^3 - sqrt(5)*(215*x^5 - 663*x^3 + 224*x) + 215*x))*sqrt(40157*sqrt(5) + 36899)*sqrt(sqrt(5) + 1) + 81862*(sqrt(10)*(x^4 - x^2)^(3/4)*(sqrt(5)*(2*x^2 - 1) + 5) + sqrt(10)*(5*x^4 - 5*x^2 - sqrt(5)*(x^4 - 3*x^2))*(x^4 - x^2)^(1/4))*sqrt(sqrt(5) + 1))/(x^5 - x^3 - x)) - 1/10*sqrt(10)*sqrt(sqrt(5) - 1)*arctan(1/818620*(sqrt(2)*(sqrt(10)*sqrt(x^4 - x^2)*(430*x^3 + sqrt(5)*(448*x^3 - 439*x) - 1335*x) + sqrt(10)*(1120*x^5 - 1550*x^3 + sqrt(5)*(215*x^5 - 663*x^3 + 224*x) + 215*x))*sqrt(40157*sqrt(5) - 36899)*sqrt(sqrt(5) - 1) + 81862*(sqrt(10)*(x^4 - x^2)^(3/4)*(sqrt(5)*(2*x^2 - 1) - 5) + sqrt(10)*(5*x^4 - 5*x^2 + sqrt(5)*(x^4 - 3*x^2))*(x^4 - x^2)^(1/4))*sqrt(sqrt(5) - 1))/(x^5 - x^3 - x)) - 1/40*sqrt(10)*sqrt(sqrt(5) + 1)*log((20*(x^4 - x^2)^(3/4)*(448*x^2 + sqrt(5)*(86*x^2 + 181) - 9) + (2*sqrt(10)*sqrt(x^4 - x^2)*(905*x^3 - sqrt(5)*(9*x^3 - 457*x) - 475*x) - sqrt(10)*(45*x^5 - 1855*x^3 - sqrt(5)*(905*x^5 - 923*x^3 + 9*x) + 905*x))*sqrt(sqrt(5) + 1) - 20*(9*x^4 - 457*x^2 - sqrt(5)*(181*x^4 - 95*x^2))*(x^4 - x^2)^(1/4))/(x^5 - x^3 - x)) + 1/40*sqrt(10)*sqrt(sqrt(5) + 1)*log((20*(x^4 - x^2)^(3/4)*(448*x^2 + sqrt(5)*(86*x^2 + 181) - 9) - (2*sqrt(10)*sqrt(x^4 - x^2)*(905*x^3 - sqrt(5)*(9*x^3 - 457*x) - 475*x) - sqrt(10)*(45*x^5 - 1855*x^3 - sqrt(5)*(905*x^5 - 923*x^3 + 9*x) + 905*x))*sqrt(sqrt(5) + 1) - 20*(9*x^4 - 457*x^2 - sqrt(5)*(181*x^4 - 95*x^2))*(x^4 - x^2)^(1/4))/(x^5 - x^3 - x)) - 1/40*sqrt(10)*sqrt(sqrt(5) - 1)*log((20*(x^4 - x^2)^(3/4)*(448*x^2 - sqrt(5)*(86*x^2 + 181) - 9) + (2*sqrt(10)*sqrt(x^4 - x^2)*(905*x^3 + sqrt(5)*(9*x^3 - 457*x) - 475*x) + sqrt(10)*(45*x^5 - 1855*x^3 + sqrt(5)*(905*x^5 - 923*x^3 + 9*x) + 905*x))*sqrt(sqrt(5) - 1) + 20*(9*x^4 - 457*x^2 + sqrt(5)*(181*x^4 - 95*x^2))*(x^4 - x^2)^(1/4))/(x^5 - x^3 - x)) + 1/40*sqrt(10)*sqrt(sqrt(5) - 1)*log((20*(x^4 - x^2)^(3/4)*(448*x^2 - sqrt(5)*(86*x^2 + 181) - 9) - (2*sqrt(10)*sqrt(x^4 - x^2)*(905*x^3 + sqrt(5)*(9*x^3 - 457*x) - 475*x) + sqrt(10)*(45*x^5 - 1855*x^3 + sqrt(5)*(905*x^5 - 923*x^3 + 9*x) + 905*x))*sqrt(sqrt(5) - 1) + 20*(9*x^4 - 457*x^2 + sqrt(5)*(181*x^4 - 95*x^2))*(x^4 - x^2)^(1/4))/(x^5 - x^3 - x)) + 1/2*(x^4 - x^2)^(1/4)*x + 3/8*arctan(2*((x^4 - x^2)^(1/4)*x^2 + (x^4 - x^2)^(3/4))/x) + 3/8*log((2*x^3 + 2*(x^4 - x^2)^(1/4)*x^2 + 2*sqrt(x^4 - x^2)*x - x + 2*(x^4 - x^2)^(3/4))/x)","B",0
2751,-1,0,0,0.000000," ","integrate((1+(3-2*k)*x-(4+k)*x^2+3*k*x^3)/((1-x)*x*(-k*x+1))^(1/3)/(-b+(1+5*b)*x-(10*b+k)*x^2+10*b*x^3-5*b*x^4+b*x^5),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2752,1,2380,0,0.865155," ","integrate(x^3/(x^3-x^2)^(1/3)/(x^6-1),x, algorithm=""fricas"")","\frac{2 \cdot 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \log\left(\frac{12 \, {\left(4 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 12 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} + 6 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - 8 \cdot 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{2} - x\right)} \arctan\left(\frac{12 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} - 6 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} - \sqrt{3} {\left(2 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} - 6 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} x\right)} \sqrt{\frac{4 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 12 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} + 6 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 36 \, {\left(48 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{3} - {\left(12^{\frac{2}{3}} 6^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + 24 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 108 \, \sqrt{3} x}{108 \, {\left(16 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{4} - 16 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} + x\right)}}\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 6 \, \sqrt{6} 2^{\frac{1}{6}} \left(-1\right)^{\frac{1}{3}} {\left(x^{2} - x\right)} \arctan\left(-\frac{2^{\frac{1}{6}} {\left(\sqrt{6} 2^{\frac{1}{3}} x - 2 \, \sqrt{6} \left(-1\right)^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\right)}}{6 \, x}\right) + 6 \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{2} - x\right)} \log\left(-\frac{2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} x - {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\right) - 3 \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{2} - x\right)} \log\left(-\frac{2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} x^{2} - 2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x - {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) + 12 \, {\left(x^{2} - x\right)} \cos\left(\frac{2}{9} \, \pi\right) \log\left(\frac{16 \, {\left(x^{2} + {\left(2 \, \sqrt{3} x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) - 2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} + x\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - 48 \, {\left(x^{2} - x\right)} \arctan\left(\frac{8 \, {\left(2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{3} - x \cos\left(\frac{2}{9} \, \pi\right)\right)} \sin\left(\frac{2}{9} \, \pi\right) - \sqrt{3} x - 2 \, {\left(2 \, \sqrt{3} x \cos\left(\frac{2}{9} \, \pi\right)^{2} - 2 \, x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) - \sqrt{3} x\right)} \sqrt{\frac{x^{2} + {\left(2 \, \sqrt{3} x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) - 2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} + x\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} \cos\left(\frac{2}{9} \, \pi\right)^{2} - 2 \, \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) - \sqrt{3}\right)}}{16 \, x \cos\left(\frac{2}{9} \, \pi\right)^{4} - 16 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} + 3 \, x}\right) \sin\left(\frac{2}{9} \, \pi\right) - 4 \, {\left(12^{\frac{1}{6}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) + 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{2} - x\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)\right)} \arctan\left(-\frac{12 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} - 6 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} - \sqrt{3} {\left(2 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} + 6 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} x\right)} \sqrt{\frac{4 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) + 12 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} - 6 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 36 \, {\left(48 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{3} + {\left(12^{\frac{2}{3}} 6^{\frac{2}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} - 24 \, x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) + 108 \, \sqrt{3} x}{108 \, {\left(16 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{4} - 16 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} + x\right)}}\right) - 4 \, {\left(12^{\frac{1}{6}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{2} - x\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)\right)} \arctan\left(\frac{144 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x \sqrt{-\frac{8 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} - 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \cdot 12^{\frac{2}{3}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{72 \, {\left(2 \, x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} - x\right)}}\right) - 24 \, {\left(\sqrt{3} {\left(x^{2} - x\right)} \cos\left(\frac{2}{9} \, \pi\right) - {\left(x^{2} - x\right)} \sin\left(\frac{2}{9} \, \pi\right)\right)} \arctan\left(\frac{8 \, {\left(2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{3} - x \cos\left(\frac{2}{9} \, \pi\right)\right)} \sin\left(\frac{2}{9} \, \pi\right) + \sqrt{3} x + 2 \, {\left(2 \, \sqrt{3} x \cos\left(\frac{2}{9} \, \pi\right)^{2} + 2 \, x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) - \sqrt{3} x\right)} \sqrt{\frac{x^{2} - {\left(2 \, \sqrt{3} x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) + 2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} - x\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, \sqrt{3} \cos\left(\frac{2}{9} \, \pi\right)^{2} + 2 \, \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) - \sqrt{3}\right)}}{16 \, x \cos\left(\frac{2}{9} \, \pi\right)^{4} - 16 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} + 3 \, x}\right) + 24 \, {\left(\sqrt{3} {\left(x^{2} - x\right)} \cos\left(\frac{2}{9} \, \pi\right) + {\left(x^{2} - x\right)} \sin\left(\frac{2}{9} \, \pi\right)\right)} \arctan\left(-\frac{2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} - x \sqrt{\frac{x^{2} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} - x\right)} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - x + {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{2 \, x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right)}\right) - {\left(12^{\frac{1}{6}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{2} - x\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) + 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)\right)} \log\left(-\frac{48 \, {\left(8 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} - 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + {\left(12^{\frac{1}{6}} 6^{\frac{2}{3}} \sqrt{3} {\left(x^{2} - x\right)} \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) - 12^{\frac{1}{6}} 6^{\frac{2}{3}} {\left(x^{2} - x\right)} \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)\right)} \log\left(\frac{48 \, {\left(4 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} \sqrt{3} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right) + 12 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x \cos\left(\frac{2}{3} \, \arctan\left(\sqrt{3} - 2\right)\right)^{2} + 12^{\frac{2}{3}} 6^{\frac{2}{3}} x^{2} - 6 \cdot 12^{\frac{1}{3}} 6^{\frac{1}{3}} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x + 12 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - 6 \, {\left(\sqrt{3} {\left(x^{2} - x\right)} \sin\left(\frac{2}{9} \, \pi\right) + {\left(x^{2} - x\right)} \cos\left(\frac{2}{9} \, \pi\right)\right)} \log\left(\frac{64 \, {\left(x^{2} - {\left(2 \, \sqrt{3} x \cos\left(\frac{2}{9} \, \pi\right) \sin\left(\frac{2}{9} \, \pi\right) + 2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} - x\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) + 6 \, {\left(\sqrt{3} {\left(x^{2} - x\right)} \sin\left(\frac{2}{9} \, \pi\right) - {\left(x^{2} - x\right)} \cos\left(\frac{2}{9} \, \pi\right)\right)} \log\left(\frac{64 \, {\left(x^{2} + 2 \, {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, x \cos\left(\frac{2}{9} \, \pi\right)^{2} - x\right)} + {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - 36 \, {\left(x^{3} - x^{2}\right)}^{\frac{2}{3}}}{72 \, {\left(x^{2} - x\right)}}"," ",0,"1/72*(2*12^(1/6)*6^(2/3)*(x^2 - x)*cos(2/3*arctan(sqrt(3) - 2))*log(12*(4*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) - 12*12^(1/3)*6^(1/3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))^2 + 12^(2/3)*6^(2/3)*x^2 + 6*12^(1/3)*6^(1/3)*(x^3 - x^2)^(1/3)*x + 12*(x^3 - x^2)^(2/3))/x^2) - 8*12^(1/6)*6^(2/3)*(x^2 - x)*arctan(1/108*(12*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 - x^2)^(1/3)*cos(2/3*arctan(sqrt(3) - 2))^2 - 6*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 - x^2)^(1/3) - sqrt(3)*(2*12^(2/3)*6^(2/3)*sqrt(3)*x*cos(2/3*arctan(sqrt(3) - 2))^2 - 6*12^(2/3)*6^(2/3)*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) - 12^(2/3)*6^(2/3)*sqrt(3)*x)*sqrt((4*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) - 12*12^(1/3)*6^(1/3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))^2 + 12^(2/3)*6^(2/3)*x^2 + 6*12^(1/3)*6^(1/3)*(x^3 - x^2)^(1/3)*x + 12*(x^3 - x^2)^(2/3))/x^2) + 36*(48*x*cos(2/3*arctan(sqrt(3) - 2))^3 - (12^(2/3)*6^(2/3)*(x^3 - x^2)^(1/3) + 24*x)*cos(2/3*arctan(sqrt(3) - 2)))*sin(2/3*arctan(sqrt(3) - 2)) - 108*sqrt(3)*x)/(16*x*cos(2/3*arctan(sqrt(3) - 2))^4 - 16*x*cos(2/3*arctan(sqrt(3) - 2))^2 + x))*sin(2/3*arctan(sqrt(3) - 2)) - 6*sqrt(6)*2^(1/6)*(-1)^(1/3)*(x^2 - x)*arctan(-1/6*2^(1/6)*(sqrt(6)*2^(1/3)*x - 2*sqrt(6)*(-1)^(1/3)*(x^3 - x^2)^(1/3))/x) + 6*2^(2/3)*(-1)^(1/3)*(x^2 - x)*log(-(2^(1/3)*(-1)^(2/3)*x - (x^3 - x^2)^(1/3))/x) - 3*2^(2/3)*(-1)^(1/3)*(x^2 - x)*log(-(2^(2/3)*(-1)^(1/3)*x^2 - 2^(1/3)*(-1)^(2/3)*(x^3 - x^2)^(1/3)*x - (x^3 - x^2)^(2/3))/x^2) + 12*(x^2 - x)*cos(2/9*pi)*log(16*(x^2 + (2*sqrt(3)*x*cos(2/9*pi)*sin(2/9*pi) - 2*x*cos(2/9*pi)^2 + x)*(x^3 - x^2)^(1/3) + (x^3 - x^2)^(2/3))/x^2) - 48*(x^2 - x)*arctan((8*(2*x*cos(2/9*pi)^3 - x*cos(2/9*pi))*sin(2/9*pi) - sqrt(3)*x - 2*(2*sqrt(3)*x*cos(2/9*pi)^2 - 2*x*cos(2/9*pi)*sin(2/9*pi) - sqrt(3)*x)*sqrt((x^2 + (2*sqrt(3)*x*cos(2/9*pi)*sin(2/9*pi) - 2*x*cos(2/9*pi)^2 + x)*(x^3 - x^2)^(1/3) + (x^3 - x^2)^(2/3))/x^2) + 2*(x^3 - x^2)^(1/3)*(2*sqrt(3)*cos(2/9*pi)^2 - 2*cos(2/9*pi)*sin(2/9*pi) - sqrt(3)))/(16*x*cos(2/9*pi)^4 - 16*x*cos(2/9*pi)^2 + 3*x))*sin(2/9*pi) - 4*(12^(1/6)*6^(2/3)*sqrt(3)*(x^2 - x)*cos(2/3*arctan(sqrt(3) - 2)) + 12^(1/6)*6^(2/3)*(x^2 - x)*sin(2/3*arctan(sqrt(3) - 2)))*arctan(-1/108*(12*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 - x^2)^(1/3)*cos(2/3*arctan(sqrt(3) - 2))^2 - 6*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 - x^2)^(1/3) - sqrt(3)*(2*12^(2/3)*6^(2/3)*sqrt(3)*x*cos(2/3*arctan(sqrt(3) - 2))^2 + 6*12^(2/3)*6^(2/3)*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) - 12^(2/3)*6^(2/3)*sqrt(3)*x)*sqrt((4*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) + 12*12^(1/3)*6^(1/3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))^2 + 12^(2/3)*6^(2/3)*x^2 - 6*12^(1/3)*6^(1/3)*(x^3 - x^2)^(1/3)*x + 12*(x^3 - x^2)^(2/3))/x^2) + 36*(48*x*cos(2/3*arctan(sqrt(3) - 2))^3 + (12^(2/3)*6^(2/3)*(x^3 - x^2)^(1/3) - 24*x)*cos(2/3*arctan(sqrt(3) - 2)))*sin(2/3*arctan(sqrt(3) - 2)) + 108*sqrt(3)*x)/(16*x*cos(2/3*arctan(sqrt(3) - 2))^4 - 16*x*cos(2/3*arctan(sqrt(3) - 2))^2 + x)) - 4*(12^(1/6)*6^(2/3)*sqrt(3)*(x^2 - x)*cos(2/3*arctan(sqrt(3) - 2)) - 12^(1/6)*6^(2/3)*(x^2 - x)*sin(2/3*arctan(sqrt(3) - 2)))*arctan(1/72*(144*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) + 12^(2/3)*6^(2/3)*x*sqrt(-(8*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) - 12^(2/3)*6^(2/3)*x^2 - 12*(x^3 - x^2)^(2/3))/x^2) - 2*12^(2/3)*6^(2/3)*sqrt(3)*(x^3 - x^2)^(1/3))/(2*x*cos(2/3*arctan(sqrt(3) - 2))^2 - x)) - 24*(sqrt(3)*(x^2 - x)*cos(2/9*pi) - (x^2 - x)*sin(2/9*pi))*arctan((8*(2*x*cos(2/9*pi)^3 - x*cos(2/9*pi))*sin(2/9*pi) + sqrt(3)*x + 2*(2*sqrt(3)*x*cos(2/9*pi)^2 + 2*x*cos(2/9*pi)*sin(2/9*pi) - sqrt(3)*x)*sqrt((x^2 - (2*sqrt(3)*x*cos(2/9*pi)*sin(2/9*pi) + 2*x*cos(2/9*pi)^2 - x)*(x^3 - x^2)^(1/3) + (x^3 - x^2)^(2/3))/x^2) - 2*(x^3 - x^2)^(1/3)*(2*sqrt(3)*cos(2/9*pi)^2 + 2*cos(2/9*pi)*sin(2/9*pi) - sqrt(3)))/(16*x*cos(2/9*pi)^4 - 16*x*cos(2/9*pi)^2 + 3*x)) + 24*(sqrt(3)*(x^2 - x)*cos(2/9*pi) + (x^2 - x)*sin(2/9*pi))*arctan(-1/2*(2*x*cos(2/9*pi)^2 - x*sqrt((x^2 + 2*(x^3 - x^2)^(1/3)*(2*x*cos(2/9*pi)^2 - x) + (x^3 - x^2)^(2/3))/x^2) - x + (x^3 - x^2)^(1/3))/(x*cos(2/9*pi)*sin(2/9*pi))) - (12^(1/6)*6^(2/3)*sqrt(3)*(x^2 - x)*sin(2/3*arctan(sqrt(3) - 2)) + 12^(1/6)*6^(2/3)*(x^2 - x)*cos(2/3*arctan(sqrt(3) - 2)))*log(-48*(8*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) - 12^(2/3)*6^(2/3)*x^2 - 12*(x^3 - x^2)^(2/3))/x^2) + (12^(1/6)*6^(2/3)*sqrt(3)*(x^2 - x)*sin(2/3*arctan(sqrt(3) - 2)) - 12^(1/6)*6^(2/3)*(x^2 - x)*cos(2/3*arctan(sqrt(3) - 2)))*log(48*(4*12^(1/3)*6^(1/3)*sqrt(3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))*sin(2/3*arctan(sqrt(3) - 2)) + 12*12^(1/3)*6^(1/3)*(x^3 - x^2)^(1/3)*x*cos(2/3*arctan(sqrt(3) - 2))^2 + 12^(2/3)*6^(2/3)*x^2 - 6*12^(1/3)*6^(1/3)*(x^3 - x^2)^(1/3)*x + 12*(x^3 - x^2)^(2/3))/x^2) - 6*(sqrt(3)*(x^2 - x)*sin(2/9*pi) + (x^2 - x)*cos(2/9*pi))*log(64*(x^2 - (2*sqrt(3)*x*cos(2/9*pi)*sin(2/9*pi) + 2*x*cos(2/9*pi)^2 - x)*(x^3 - x^2)^(1/3) + (x^3 - x^2)^(2/3))/x^2) + 6*(sqrt(3)*(x^2 - x)*sin(2/9*pi) - (x^2 - x)*cos(2/9*pi))*log(64*(x^2 + 2*(x^3 - x^2)^(1/3)*(2*x*cos(2/9*pi)^2 - x) + (x^3 - x^2)^(2/3))/x^2) - 36*(x^3 - x^2)^(2/3))/(x^2 - x)","B",0
2753,1,5201,0,2.087355," ","integrate((x+(x^2+1)^(1/2))^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1} \log\left({\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + 4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{3} + {\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 16 \, \sqrt{2} + 16 \, \sqrt{5 \, \sqrt{2} + 7} - 19\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} - 16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 48 \, \sqrt{2} + 48 \, \sqrt{5 \, \sqrt{2} + 7} - 63\right)} \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1} \log\left(-{\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + 4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{3} + {\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 16 \, \sqrt{2} + 16 \, \sqrt{5 \, \sqrt{2} + 7} - 19\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} - 16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 48 \, \sqrt{2} + 48 \, \sqrt{5 \, \sqrt{2} + 7} - 63\right)} \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1} \log\left({\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{3} - 17 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 45 \, \sqrt{2} + 45 \, \sqrt{5 \, \sqrt{2} + 7} - 62\right)} \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1} \log\left(-{\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{3} - 17 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 45 \, \sqrt{2} + 45 \, \sqrt{5 \, \sqrt{2} + 7} - 62\right)} \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1} \log\left({\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{3} + {\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 64 \, \sqrt{2} - 64 \, \sqrt{5 \, \sqrt{2} - 7} - 97\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} + 64 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 256 \, \sqrt{2} - 256 \, \sqrt{5 \, \sqrt{2} - 7} - 373\right)} \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1} \log\left(-{\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{3} + {\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 64 \, \sqrt{2} - 64 \, \sqrt{5 \, \sqrt{2} - 7} - 97\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} + 64 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 256 \, \sqrt{2} - 256 \, \sqrt{5 \, \sqrt{2} - 7} - 373\right)} \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1} \log\left({\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{3} + 69 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 289 \, \sqrt{2} - 289 \, \sqrt{5 \, \sqrt{2} - 7} - 428\right)} \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1} \log\left(-{\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{3} + 69 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 289 \, \sqrt{2} - 289 \, \sqrt{5 \, \sqrt{2} - 7} - 428\right)} \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} \log\left(\frac{1}{2} \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + {\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 16 \, \sqrt{2} + 16 \, \sqrt{5 \, \sqrt{2} + 7} - 19\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + 4 \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + \sqrt{2} - \sqrt{5 \, \sqrt{2} + 7}\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} - 3 \, \sqrt{2} + 3 \, \sqrt{5 \, \sqrt{2} + 7} - 1\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} \log\left(-\frac{1}{2} \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + {\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 16 \, \sqrt{2} + 16 \, \sqrt{5 \, \sqrt{2} + 7} - 19\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + 4 \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + \sqrt{2} - \sqrt{5 \, \sqrt{2} + 7}\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} - 3 \, \sqrt{2} + 3 \, \sqrt{5 \, \sqrt{2} + 7} - 1\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} \log\left(\frac{1}{2} \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + {\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 16 \, \sqrt{2} + 16 \, \sqrt{5 \, \sqrt{2} + 7} - 19\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 4 \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + \sqrt{2} - \sqrt{5 \, \sqrt{2} + 7}\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} - 3 \, \sqrt{2} + 3 \, \sqrt{5 \, \sqrt{2} + 7} - 1\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} \log\left(-\frac{1}{2} \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + {\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 16 \, \sqrt{2} + 16 \, \sqrt{5 \, \sqrt{2} + 7} - 19\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 4 \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + \sqrt{2} - \sqrt{5 \, \sqrt{2} + 7}\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} - 3 \, \sqrt{2} + 3 \, \sqrt{5 \, \sqrt{2} + 7} - 1\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} \log\left(\frac{1}{2} \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + {\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 64 \, \sqrt{2} - 64 \, \sqrt{5 \, \sqrt{2} - 7} - 97\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 4 \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, \sqrt{2} + 5 \, \sqrt{5 \, \sqrt{2} - 7} + 18\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 33 \, \sqrt{2} + 33 \, \sqrt{5 \, \sqrt{2} - 7} + 55\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} \log\left(-\frac{1}{2} \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + {\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 64 \, \sqrt{2} - 64 \, \sqrt{5 \, \sqrt{2} - 7} - 97\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 4 \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, \sqrt{2} + 5 \, \sqrt{5 \, \sqrt{2} - 7} + 18\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 33 \, \sqrt{2} + 33 \, \sqrt{5 \, \sqrt{2} - 7} + 55\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} \log\left(\frac{1}{2} \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + {\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 64 \, \sqrt{2} - 64 \, \sqrt{5 \, \sqrt{2} - 7} - 97\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - 4 \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, \sqrt{2} + 5 \, \sqrt{5 \, \sqrt{2} - 7} + 18\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 33 \, \sqrt{2} + 33 \, \sqrt{5 \, \sqrt{2} - 7} + 55\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} \log\left(-\frac{1}{2} \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + {\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 64 \, \sqrt{2} - 64 \, \sqrt{5 \, \sqrt{2} - 7} - 97\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - 4 \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, \sqrt{2} + 5 \, \sqrt{5 \, \sqrt{2} - 7} + 18\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 33 \, \sqrt{2} + 33 \, \sqrt{5 \, \sqrt{2} - 7} + 55\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right)"," ",0,"1/2*sqrt(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*log(((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 + 4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^3 + (4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 16*sqrt(2) + 16*sqrt(5*sqrt(2) + 7) - 19)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) - 16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 48*sqrt(2) + 48*sqrt(5*sqrt(2) + 7) - 63)*sqrt(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*log(-((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 + 4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^3 + (4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 16*sqrt(2) + 16*sqrt(5*sqrt(2) + 7) - 19)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) - 16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 48*sqrt(2) + 48*sqrt(5*sqrt(2) + 7) - 63)*sqrt(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)*log((4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^3 - 17*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 45*sqrt(2) + 45*sqrt(5*sqrt(2) + 7) - 62)*sqrt(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)*log(-(4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^3 - 17*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 45*sqrt(2) + 45*sqrt(5*sqrt(2) + 7) - 62)*sqrt(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*log(((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 + 16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^3 + (16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 64*sqrt(2) - 64*sqrt(5*sqrt(2) - 7) - 97)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) + 64*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 256*sqrt(2) - 256*sqrt(5*sqrt(2) - 7) - 373)*sqrt(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*log(-((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 + 16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^3 + (16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 64*sqrt(2) - 64*sqrt(5*sqrt(2) - 7) - 97)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) + 64*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 256*sqrt(2) - 256*sqrt(5*sqrt(2) - 7) - 373)*sqrt(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)*log((16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^3 + 69*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 289*sqrt(2) - 289*sqrt(5*sqrt(2) - 7) - 428)*sqrt(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)*log(-(16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^3 + 69*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 289*sqrt(2) - 289*sqrt(5*sqrt(2) - 7) - 428)*sqrt(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1)*log(1/2*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 + (4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 16*sqrt(2) + 16*sqrt(5*sqrt(2) + 7) - 19)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + (sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 + 4*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + sqrt(2) - sqrt(5*sqrt(2) + 7))*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) - 3*sqrt(2) + 3*sqrt(5*sqrt(2) + 7) - 1)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1)*log(-1/2*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 + (4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 16*sqrt(2) + 16*sqrt(5*sqrt(2) + 7) - 19)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + (sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 + 4*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + sqrt(2) - sqrt(5*sqrt(2) + 7))*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) - 3*sqrt(2) + 3*sqrt(5*sqrt(2) + 7) - 1)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1)*log(1/2*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 + (4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 16*sqrt(2) + 16*sqrt(5*sqrt(2) + 7) - 19)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + (sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 4*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + sqrt(2) - sqrt(5*sqrt(2) + 7))*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) - 3*sqrt(2) + 3*sqrt(5*sqrt(2) + 7) - 1)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1)*log(-1/2*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 + (4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 16*sqrt(2) + 16*sqrt(5*sqrt(2) + 7) - 19)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + (sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 4*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + sqrt(2) - sqrt(5*sqrt(2) + 7))*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) - 3*sqrt(2) + 3*sqrt(5*sqrt(2) + 7) - 1)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1)*log(1/2*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 + (16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 64*sqrt(2) - 64*sqrt(5*sqrt(2) - 7) - 97)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 4*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*sqrt(2) + 5*sqrt(5*sqrt(2) - 7) + 18)*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 33*sqrt(2) + 33*sqrt(5*sqrt(2) - 7) + 55)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1)*log(-1/2*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 + (16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 64*sqrt(2) - 64*sqrt(5*sqrt(2) - 7) - 97)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 4*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*sqrt(2) + 5*sqrt(5*sqrt(2) - 7) + 18)*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 33*sqrt(2) + 33*sqrt(5*sqrt(2) - 7) + 55)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1)*log(1/2*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 + (16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 64*sqrt(2) - 64*sqrt(5*sqrt(2) - 7) - 97)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 4*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*sqrt(2) + 5*sqrt(5*sqrt(2) - 7) + 18)*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 33*sqrt(2) + 33*sqrt(5*sqrt(2) - 7) + 55)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1)*log(-1/2*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 + (16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 64*sqrt(2) - 64*sqrt(5*sqrt(2) - 7) - 97)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 4*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*sqrt(2) + 5*sqrt(5*sqrt(2) - 7) + 18)*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 33*sqrt(2) + 33*sqrt(5*sqrt(2) - 7) + 55)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))","B",0
2754,1,5201,0,1.914625," ","integrate((x+(x^2+1)^(1/2))^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1} \log\left({\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + 4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{3} + {\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 16 \, \sqrt{2} + 16 \, \sqrt{5 \, \sqrt{2} + 7} - 19\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} - 16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 48 \, \sqrt{2} + 48 \, \sqrt{5 \, \sqrt{2} + 7} - 63\right)} \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1} \log\left(-{\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + 4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{3} + {\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 16 \, \sqrt{2} + 16 \, \sqrt{5 \, \sqrt{2} + 7} - 19\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} - 16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 48 \, \sqrt{2} + 48 \, \sqrt{5 \, \sqrt{2} + 7} - 63\right)} \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1} \log\left({\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{3} - 17 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 45 \, \sqrt{2} + 45 \, \sqrt{5 \, \sqrt{2} + 7} - 62\right)} \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1} \log\left(-{\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{3} - 17 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 45 \, \sqrt{2} + 45 \, \sqrt{5 \, \sqrt{2} + 7} - 62\right)} \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1} \log\left({\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{3} + {\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 64 \, \sqrt{2} - 64 \, \sqrt{5 \, \sqrt{2} - 7} - 97\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} + 64 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 256 \, \sqrt{2} - 256 \, \sqrt{5 \, \sqrt{2} - 7} - 373\right)} \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1} \log\left(-{\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{3} + {\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 64 \, \sqrt{2} - 64 \, \sqrt{5 \, \sqrt{2} - 7} - 97\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} + 64 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 256 \, \sqrt{2} - 256 \, \sqrt{5 \, \sqrt{2} - 7} - 373\right)} \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1} \log\left({\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{3} + 69 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 289 \, \sqrt{2} - 289 \, \sqrt{5 \, \sqrt{2} - 7} - 428\right)} \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1} \log\left(-{\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{3} + 69 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 289 \, \sqrt{2} - 289 \, \sqrt{5 \, \sqrt{2} - 7} - 428\right)} \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} \log\left(\frac{1}{2} \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + {\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 16 \, \sqrt{2} + 16 \, \sqrt{5 \, \sqrt{2} + 7} - 19\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + 4 \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + \sqrt{2} - \sqrt{5 \, \sqrt{2} + 7}\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} - 3 \, \sqrt{2} + 3 \, \sqrt{5 \, \sqrt{2} + 7} - 1\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} \log\left(-\frac{1}{2} \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + {\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 16 \, \sqrt{2} + 16 \, \sqrt{5 \, \sqrt{2} + 7} - 19\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + 4 \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + \sqrt{2} - \sqrt{5 \, \sqrt{2} + 7}\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} - 3 \, \sqrt{2} + 3 \, \sqrt{5 \, \sqrt{2} + 7} - 1\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} \log\left(\frac{1}{2} \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + {\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 16 \, \sqrt{2} + 16 \, \sqrt{5 \, \sqrt{2} + 7} - 19\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 4 \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + \sqrt{2} - \sqrt{5 \, \sqrt{2} + 7}\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} - 3 \, \sqrt{2} + 3 \, \sqrt{5 \, \sqrt{2} + 7} - 1\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} \log\left(-\frac{1}{2} \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + {\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 16 \, \sqrt{2} + 16 \, \sqrt{5 \, \sqrt{2} + 7} - 19\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 4 \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + \sqrt{2} - \sqrt{5 \, \sqrt{2} + 7}\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} - 3 \, \sqrt{2} + 3 \, \sqrt{5 \, \sqrt{2} + 7} - 1\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} \log\left(\frac{1}{2} \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + {\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 64 \, \sqrt{2} - 64 \, \sqrt{5 \, \sqrt{2} - 7} - 97\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 4 \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, \sqrt{2} + 5 \, \sqrt{5 \, \sqrt{2} - 7} + 18\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 33 \, \sqrt{2} + 33 \, \sqrt{5 \, \sqrt{2} - 7} + 55\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} \log\left(-\frac{1}{2} \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + {\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 64 \, \sqrt{2} - 64 \, \sqrt{5 \, \sqrt{2} - 7} - 97\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 4 \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, \sqrt{2} + 5 \, \sqrt{5 \, \sqrt{2} - 7} + 18\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 33 \, \sqrt{2} + 33 \, \sqrt{5 \, \sqrt{2} - 7} + 55\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} \log\left(\frac{1}{2} \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + {\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 64 \, \sqrt{2} - 64 \, \sqrt{5 \, \sqrt{2} - 7} - 97\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - 4 \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, \sqrt{2} + 5 \, \sqrt{5 \, \sqrt{2} - 7} + 18\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 33 \, \sqrt{2} + 33 \, \sqrt{5 \, \sqrt{2} - 7} + 55\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} \log\left(-\frac{1}{2} \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + {\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 64 \, \sqrt{2} - 64 \, \sqrt{5 \, \sqrt{2} - 7} - 97\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - 4 \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, \sqrt{2} + 5 \, \sqrt{5 \, \sqrt{2} - 7} + 18\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 33 \, \sqrt{2} + 33 \, \sqrt{5 \, \sqrt{2} - 7} + 55\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right)"," ",0,"1/2*sqrt(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*log(((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 + 4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^3 + (4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 16*sqrt(2) + 16*sqrt(5*sqrt(2) + 7) - 19)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) - 16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 48*sqrt(2) + 48*sqrt(5*sqrt(2) + 7) - 63)*sqrt(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*log(-((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 + 4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^3 + (4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 16*sqrt(2) + 16*sqrt(5*sqrt(2) + 7) - 19)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) - 16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 48*sqrt(2) + 48*sqrt(5*sqrt(2) + 7) - 63)*sqrt(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)*log((4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^3 - 17*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 45*sqrt(2) + 45*sqrt(5*sqrt(2) + 7) - 62)*sqrt(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)*log(-(4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^3 - 17*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 45*sqrt(2) + 45*sqrt(5*sqrt(2) + 7) - 62)*sqrt(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*log(((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 + 16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^3 + (16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 64*sqrt(2) - 64*sqrt(5*sqrt(2) - 7) - 97)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) + 64*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 256*sqrt(2) - 256*sqrt(5*sqrt(2) - 7) - 373)*sqrt(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*log(-((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 + 16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^3 + (16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 64*sqrt(2) - 64*sqrt(5*sqrt(2) - 7) - 97)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) + 64*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 256*sqrt(2) - 256*sqrt(5*sqrt(2) - 7) - 373)*sqrt(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)*log((16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^3 + 69*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 289*sqrt(2) - 289*sqrt(5*sqrt(2) - 7) - 428)*sqrt(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)*log(-(16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^3 + 69*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 289*sqrt(2) - 289*sqrt(5*sqrt(2) - 7) - 428)*sqrt(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1)*log(1/2*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 + (4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 16*sqrt(2) + 16*sqrt(5*sqrt(2) + 7) - 19)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + (sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 + 4*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + sqrt(2) - sqrt(5*sqrt(2) + 7))*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) - 3*sqrt(2) + 3*sqrt(5*sqrt(2) + 7) - 1)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1)*log(-1/2*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 + (4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 16*sqrt(2) + 16*sqrt(5*sqrt(2) + 7) - 19)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + (sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 + 4*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + sqrt(2) - sqrt(5*sqrt(2) + 7))*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) - 3*sqrt(2) + 3*sqrt(5*sqrt(2) + 7) - 1)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1)*log(1/2*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 + (4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 16*sqrt(2) + 16*sqrt(5*sqrt(2) + 7) - 19)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + (sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 4*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + sqrt(2) - sqrt(5*sqrt(2) + 7))*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) - 3*sqrt(2) + 3*sqrt(5*sqrt(2) + 7) - 1)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1)*log(-1/2*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 + (4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 16*sqrt(2) + 16*sqrt(5*sqrt(2) + 7) - 19)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + (sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 4*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + sqrt(2) - sqrt(5*sqrt(2) + 7))*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) - 3*sqrt(2) + 3*sqrt(5*sqrt(2) + 7) - 1)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1)*log(1/2*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 + (16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 64*sqrt(2) - 64*sqrt(5*sqrt(2) - 7) - 97)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 4*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*sqrt(2) + 5*sqrt(5*sqrt(2) - 7) + 18)*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 33*sqrt(2) + 33*sqrt(5*sqrt(2) - 7) + 55)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1)*log(-1/2*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 + (16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 64*sqrt(2) - 64*sqrt(5*sqrt(2) - 7) - 97)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 4*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*sqrt(2) + 5*sqrt(5*sqrt(2) - 7) + 18)*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 33*sqrt(2) + 33*sqrt(5*sqrt(2) - 7) + 55)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1)*log(1/2*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 + (16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 64*sqrt(2) - 64*sqrt(5*sqrt(2) - 7) - 97)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 4*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*sqrt(2) + 5*sqrt(5*sqrt(2) - 7) + 18)*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 33*sqrt(2) + 33*sqrt(5*sqrt(2) - 7) + 55)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1)*log(-1/2*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 + (16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 64*sqrt(2) - 64*sqrt(5*sqrt(2) - 7) - 97)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 4*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*sqrt(2) + 5*sqrt(5*sqrt(2) - 7) + 18)*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 33*sqrt(2) + 33*sqrt(5*sqrt(2) - 7) + 55)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))","B",0
2755,1,758,0,0.846039," ","integrate(1/(a^2*x^2-b)^(1/2)/(a*x+(a^2*x^2-b)^(1/2))^(1/4)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/4))^(1/3),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(3 \, \sqrt{\frac{1}{3}} b c \sqrt{\frac{\left(-c\right)^{\frac{1}{3}}}{c}} \log\left(-6 \, \sqrt{\frac{1}{3}} {\left(a \left(-c\right)^{\frac{2}{3}} x - \sqrt{a^{2} x^{2} - b} \left(-c\right)^{\frac{2}{3}}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}} \sqrt{\frac{\left(-c\right)^{\frac{1}{3}}}{c}} - 3 \, {\left(a \left(-c\right)^{\frac{2}{3}} x - \sqrt{\frac{1}{3}} {\left(a c x - \sqrt{a^{2} x^{2} - b} c\right)} \sqrt{\frac{\left(-c\right)^{\frac{1}{3}}}{c}} - \sqrt{a^{2} x^{2} - b} \left(-c\right)^{\frac{2}{3}}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} + 3 \, {\left(a c x - \sqrt{\frac{1}{3}} {\left(a \left(-c\right)^{\frac{1}{3}} c x - \sqrt{a^{2} x^{2} - b} \left(-c\right)^{\frac{1}{3}} c\right)} \sqrt{\frac{\left(-c\right)^{\frac{1}{3}}}{c}} - \sqrt{a^{2} x^{2} - b} c\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} + 2 \, b\right) + b \left(-c\right)^{\frac{2}{3}} \log\left(\left(-c\right)^{\frac{2}{3}} - \left(-c\right)^{\frac{1}{3}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}}\right) - 2 \, b \left(-c\right)^{\frac{2}{3}} \log\left(\left(-c\right)^{\frac{1}{3}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}\right) - 6 \, {\left(a c x - \sqrt{a^{2} x^{2} - b} c\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}}\right)}}{3 \, a b c^{2}}, -\frac{2 \, {\left(6 \, \sqrt{\frac{1}{3}} b c \sqrt{-\frac{\left(-c\right)^{\frac{1}{3}}}{c}} \arctan\left(-\sqrt{\frac{1}{3}} \left(-c\right)^{\frac{1}{3}} \sqrt{-\frac{\left(-c\right)^{\frac{1}{3}}}{c}} + 2 \, \sqrt{\frac{1}{3}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} \sqrt{-\frac{\left(-c\right)^{\frac{1}{3}}}{c}}\right) - b \left(-c\right)^{\frac{2}{3}} \log\left(\left(-c\right)^{\frac{2}{3}} - \left(-c\right)^{\frac{1}{3}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}}\right) + 2 \, b \left(-c\right)^{\frac{2}{3}} \log\left(\left(-c\right)^{\frac{1}{3}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}\right) + 6 \, {\left(a c x - \sqrt{a^{2} x^{2} - b} c\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}}\right)}}{3 \, a b c^{2}}\right]"," ",0,"[2/3*(3*sqrt(1/3)*b*c*sqrt((-c)^(1/3)/c)*log(-6*sqrt(1/3)*(a*(-c)^(2/3)*x - sqrt(a^2*x^2 - b)*(-c)^(2/3))*(a*x + sqrt(a^2*x^2 - b))^(3/4)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3)*sqrt((-c)^(1/3)/c) - 3*(a*(-c)^(2/3)*x - sqrt(1/3)*(a*c*x - sqrt(a^2*x^2 - b)*c)*sqrt((-c)^(1/3)/c) - sqrt(a^2*x^2 - b)*(-c)^(2/3))*(a*x + sqrt(a^2*x^2 - b))^(3/4)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3) + 3*(a*c*x - sqrt(1/3)*(a*(-c)^(1/3)*c*x - sqrt(a^2*x^2 - b)*(-c)^(1/3)*c)*sqrt((-c)^(1/3)/c) - sqrt(a^2*x^2 - b)*c)*(a*x + sqrt(a^2*x^2 - b))^(3/4) + 2*b) + b*(-c)^(2/3)*log((-c)^(2/3) - (-c)^(1/3)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3)) - 2*b*(-c)^(2/3)*log((-c)^(1/3) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)) - 6*(a*c*x - sqrt(a^2*x^2 - b)*c)*(a*x + sqrt(a^2*x^2 - b))^(3/4)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3))/(a*b*c^2), -2/3*(6*sqrt(1/3)*b*c*sqrt(-(-c)^(1/3)/c)*arctan(-sqrt(1/3)*(-c)^(1/3)*sqrt(-(-c)^(1/3)/c) + 2*sqrt(1/3)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)*sqrt(-(-c)^(1/3)/c)) - b*(-c)^(2/3)*log((-c)^(2/3) - (-c)^(1/3)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3)) + 2*b*(-c)^(2/3)*log((-c)^(1/3) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)) + 6*(a*c*x - sqrt(a^2*x^2 - b)*c)*(a*x + sqrt(a^2*x^2 - b))^(3/4)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3))/(a*b*c^2)]","A",0
2756,-1,0,0,0.000000," ","integrate((-b+x)*(a*b-2*b*x+x^2)/(x*(-a+x)*(-b+x)^2)^(2/3)/(b-(a*d+1)*x+d*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2757,-1,0,0,0.000000," ","integrate((a-5*b+4*x)*(-a^3+3*a^2*x-3*a*x^2+x^3)/((-a+x)*(-b+x))^(2/3)/(-a^5+b*d-(-5*a^4+d)*x-10*a^3*x^2+10*a^2*x^3-5*a*x^4+x^5),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2758,-1,0,0,0.000000," ","integrate((1-x^3*(5+4*x)^(1/3)-x^3*(5+4*x)^(2/3))/(1-x*(5+4*x)^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2759,-1,0,0,0.000000," ","integrate(x^3*(_C3*x^3-2*_C4)*((_C3*x^3+_C0*x^2+_C4)/(_C3*x^3+_C1*x^2+_C4))^(1/2)/(2*_C3*x^3+x^2+2*_C4)/(_C3^2*x^6+2*_C3*_C4*x^3-x^4+_C4^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2760,-1,0,0,0.000000," ","integrate(x^5*(2*_C3*x^5-3*_C4)*((_C3*x^5+_C0*x^3+_C4)/(_C3*x^5+_C1*x^3+_C4))^(1/2)/(2*_C3*x^5+x^3+2*_C4)/(_C3^2*x^10+2*_C3*_C4*x^5-x^6+_C4^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2761,1,455,0,0.788795," ","integrate((x^2-1)^2*(x^3+x)/(x^4+1)^(1/2)/(x^8-2*x^6+4*x^4-2*x^2+1),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \arctan\left(-\frac{x^{4} - x^{2} + \sqrt{2} {\left(x^{4} - x^{2} + 1\right)} - \sqrt{2 \, x^{8} - 2 \, x^{6} + 4 \, x^{4} - \sqrt{2} {\left(x^{4} + x^{2} + 1\right)} - {\left(2 \, x^{6} - 2 \, x^{4} + 3 \, x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{x^{4} + 1} + 2} {\left(x^{2} + \sqrt{2} {\left(x^{2} + 1\right)} + \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)} + 1\right)} - \sqrt{x^{4} + 1} {\left(x^{2} + \sqrt{2} {\left(x^{2} - 1\right)} - 1\right)} + 1}{x^{2}}\right) + \frac{1}{2} \, \sqrt{2} \arctan\left(\frac{x^{4} - x^{2} - \sqrt{2} {\left(x^{4} - x^{2} + 1\right)} - \sqrt{2 \, x^{8} - 2 \, x^{6} + 4 \, x^{4} + \sqrt{2} {\left(x^{4} + x^{2} + 1\right)} - {\left(2 \, x^{6} - 2 \, x^{4} + 3 \, x^{2} + \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{x^{4} + 1} + 2} {\left(x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} - \sqrt{x^{4} + 1} {\left(\sqrt{2} - 1\right)} + 1\right)} - \sqrt{x^{4} + 1} {\left(x^{2} - \sqrt{2} {\left(x^{2} - 1\right)} - 1\right)} + 1}{x^{2}}\right) - \frac{1}{8} \, \sqrt{2} \log\left(8 \, x^{8} - 8 \, x^{6} + 16 \, x^{4} + 4 \, \sqrt{2} {\left(x^{4} + x^{2} + 1\right)} - 4 \, {\left(2 \, x^{6} - 2 \, x^{4} + 3 \, x^{2} + \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{x^{4} + 1} + 8\right) + \frac{1}{8} \, \sqrt{2} \log\left(8 \, x^{8} - 8 \, x^{6} + 16 \, x^{4} - 4 \, \sqrt{2} {\left(x^{4} + x^{2} + 1\right)} - 4 \, {\left(2 \, x^{6} - 2 \, x^{4} + 3 \, x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{x^{4} + 1} + 8\right)"," ",0,"1/2*sqrt(2)*arctan(-(x^4 - x^2 + sqrt(2)*(x^4 - x^2 + 1) - sqrt(2*x^8 - 2*x^6 + 4*x^4 - sqrt(2)*(x^4 + x^2 + 1) - (2*x^6 - 2*x^4 + 3*x^2 - sqrt(2)*(x^2 + 1) + 1)*sqrt(x^4 + 1) + 2)*(x^2 + sqrt(2)*(x^2 + 1) + sqrt(x^4 + 1)*(sqrt(2) + 1) + 1) - sqrt(x^4 + 1)*(x^2 + sqrt(2)*(x^2 - 1) - 1) + 1)/x^2) + 1/2*sqrt(2)*arctan((x^4 - x^2 - sqrt(2)*(x^4 - x^2 + 1) - sqrt(2*x^8 - 2*x^6 + 4*x^4 + sqrt(2)*(x^4 + x^2 + 1) - (2*x^6 - 2*x^4 + 3*x^2 + sqrt(2)*(x^2 + 1) + 1)*sqrt(x^4 + 1) + 2)*(x^2 - sqrt(2)*(x^2 + 1) - sqrt(x^4 + 1)*(sqrt(2) - 1) + 1) - sqrt(x^4 + 1)*(x^2 - sqrt(2)*(x^2 - 1) - 1) + 1)/x^2) - 1/8*sqrt(2)*log(8*x^8 - 8*x^6 + 16*x^4 + 4*sqrt(2)*(x^4 + x^2 + 1) - 4*(2*x^6 - 2*x^4 + 3*x^2 + sqrt(2)*(x^2 + 1) + 1)*sqrt(x^4 + 1) + 8) + 1/8*sqrt(2)*log(8*x^8 - 8*x^6 + 16*x^4 - 4*sqrt(2)*(x^4 + x^2 + 1) - 4*(2*x^6 - 2*x^4 + 3*x^2 - sqrt(2)*(x^2 + 1) + 1)*sqrt(x^4 + 1) + 8)","B",0
2762,1,474,0,1.007111," ","integrate((2*x^2+x-1)*(x^4-x^3)^(1/4)/(x^2-x-1),x, algorithm=""fricas"")","-2 \, \sqrt{10 \, \sqrt{5} - 22} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{5} x + 3 \, x\right)} \sqrt{10 \, \sqrt{5} - 22} \sqrt{\frac{\sqrt{5} x^{2} + x^{2} + 2 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \sqrt{10 \, \sqrt{5} - 22} {\left(\sqrt{5} + 3\right)}}{8 \, x}\right) - 2 \, \sqrt{10 \, \sqrt{5} + 22} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{5} x - 3 \, x\right)} \sqrt{10 \, \sqrt{5} + 22} \sqrt{\frac{\sqrt{5} x^{2} - x^{2} + 2 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \sqrt{10 \, \sqrt{5} + 22} {\left(\sqrt{5} - 3\right)}}{8 \, x}\right) - \frac{1}{2} \, \sqrt{10 \, \sqrt{5} + 22} \log\left(\frac{{\left(\sqrt{5} x - 2 \, x\right)} \sqrt{10 \, \sqrt{5} + 22} + 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \sqrt{10 \, \sqrt{5} + 22} \log\left(-\frac{{\left(\sqrt{5} x - 2 \, x\right)} \sqrt{10 \, \sqrt{5} + 22} - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \sqrt{10 \, \sqrt{5} - 22} \log\left(\frac{{\left(\sqrt{5} x + 2 \, x\right)} \sqrt{10 \, \sqrt{5} - 22} + 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \sqrt{10 \, \sqrt{5} - 22} \log\left(-\frac{{\left(\sqrt{5} x + 2 \, x\right)} \sqrt{10 \, \sqrt{5} - 22} - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{4} \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(4 \, x + 11\right)} + \frac{49}{8} \, \arctan\left(\frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{49}{16} \, \log\left(\frac{x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{49}{16} \, \log\left(-\frac{x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-2*sqrt(10*sqrt(5) - 22)*arctan(1/8*(sqrt(2)*(sqrt(5)*x + 3*x)*sqrt(10*sqrt(5) - 22)*sqrt((sqrt(5)*x^2 + x^2 + 2*sqrt(x^4 - x^3))/x^2) - 2*(x^4 - x^3)^(1/4)*sqrt(10*sqrt(5) - 22)*(sqrt(5) + 3))/x) - 2*sqrt(10*sqrt(5) + 22)*arctan(1/8*(sqrt(2)*(sqrt(5)*x - 3*x)*sqrt(10*sqrt(5) + 22)*sqrt((sqrt(5)*x^2 - x^2 + 2*sqrt(x^4 - x^3))/x^2) - 2*(x^4 - x^3)^(1/4)*sqrt(10*sqrt(5) + 22)*(sqrt(5) - 3))/x) - 1/2*sqrt(10*sqrt(5) + 22)*log(((sqrt(5)*x - 2*x)*sqrt(10*sqrt(5) + 22) + 2*(x^4 - x^3)^(1/4))/x) + 1/2*sqrt(10*sqrt(5) + 22)*log(-((sqrt(5)*x - 2*x)*sqrt(10*sqrt(5) + 22) - 2*(x^4 - x^3)^(1/4))/x) + 1/2*sqrt(10*sqrt(5) - 22)*log(((sqrt(5)*x + 2*x)*sqrt(10*sqrt(5) - 22) + 2*(x^4 - x^3)^(1/4))/x) - 1/2*sqrt(10*sqrt(5) - 22)*log(-((sqrt(5)*x + 2*x)*sqrt(10*sqrt(5) - 22) - 2*(x^4 - x^3)^(1/4))/x) + 1/4*(x^4 - x^3)^(1/4)*(4*x + 11) + 49/8*arctan((x^4 - x^3)^(1/4)/x) + 49/16*log((x + (x^4 - x^3)^(1/4))/x) - 49/16*log(-(x - (x^4 - x^3)^(1/4))/x)","B",0
2763,-1,0,0,0.000000," ","integrate((x^6+2)*(x^6+x^4-1)/(x^6-1)^(1/4)/(x^12+x^8-2*x^6+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2764,1,1174,0,0.540818," ","integrate(1/(c*x+d)^2/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{{\left(b^{2} c^{2} x + b^{2} c d\right)} \sqrt{\frac{a^{3} d + {\left(b^{4} c^{5} + a^{2} b^{2} c^{3} d^{2}\right)} \sqrt{\frac{a^{4}}{b^{6} c^{8} + a^{2} b^{4} c^{6} d^{2}}}}{b^{4} c^{5} + a^{2} b^{2} c^{3} d^{2}}} \log\left(\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} a^{2} + {\left(a b^{2} c^{2} + a^{3} d^{2} - {\left(b^{4} c^{5} d + a^{2} b^{2} c^{3} d^{3}\right)} \sqrt{\frac{a^{4}}{b^{6} c^{8} + a^{2} b^{4} c^{6} d^{2}}}\right)} \sqrt{\frac{a^{3} d + {\left(b^{4} c^{5} + a^{2} b^{2} c^{3} d^{2}\right)} \sqrt{\frac{a^{4}}{b^{6} c^{8} + a^{2} b^{4} c^{6} d^{2}}}}{b^{4} c^{5} + a^{2} b^{2} c^{3} d^{2}}}\right) - {\left(b^{2} c^{2} x + b^{2} c d\right)} \sqrt{\frac{a^{3} d + {\left(b^{4} c^{5} + a^{2} b^{2} c^{3} d^{2}\right)} \sqrt{\frac{a^{4}}{b^{6} c^{8} + a^{2} b^{4} c^{6} d^{2}}}}{b^{4} c^{5} + a^{2} b^{2} c^{3} d^{2}}} \log\left(\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} a^{2} - {\left(a b^{2} c^{2} + a^{3} d^{2} - {\left(b^{4} c^{5} d + a^{2} b^{2} c^{3} d^{3}\right)} \sqrt{\frac{a^{4}}{b^{6} c^{8} + a^{2} b^{4} c^{6} d^{2}}}\right)} \sqrt{\frac{a^{3} d + {\left(b^{4} c^{5} + a^{2} b^{2} c^{3} d^{2}\right)} \sqrt{\frac{a^{4}}{b^{6} c^{8} + a^{2} b^{4} c^{6} d^{2}}}}{b^{4} c^{5} + a^{2} b^{2} c^{3} d^{2}}}\right) + {\left(b^{2} c^{2} x + b^{2} c d\right)} \sqrt{\frac{a^{3} d - {\left(b^{4} c^{5} + a^{2} b^{2} c^{3} d^{2}\right)} \sqrt{\frac{a^{4}}{b^{6} c^{8} + a^{2} b^{4} c^{6} d^{2}}}}{b^{4} c^{5} + a^{2} b^{2} c^{3} d^{2}}} \log\left(\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} a^{2} + {\left(a b^{2} c^{2} + a^{3} d^{2} + {\left(b^{4} c^{5} d + a^{2} b^{2} c^{3} d^{3}\right)} \sqrt{\frac{a^{4}}{b^{6} c^{8} + a^{2} b^{4} c^{6} d^{2}}}\right)} \sqrt{\frac{a^{3} d - {\left(b^{4} c^{5} + a^{2} b^{2} c^{3} d^{2}\right)} \sqrt{\frac{a^{4}}{b^{6} c^{8} + a^{2} b^{4} c^{6} d^{2}}}}{b^{4} c^{5} + a^{2} b^{2} c^{3} d^{2}}}\right) - {\left(b^{2} c^{2} x + b^{2} c d\right)} \sqrt{\frac{a^{3} d - {\left(b^{4} c^{5} + a^{2} b^{2} c^{3} d^{2}\right)} \sqrt{\frac{a^{4}}{b^{6} c^{8} + a^{2} b^{4} c^{6} d^{2}}}}{b^{4} c^{5} + a^{2} b^{2} c^{3} d^{2}}} \log\left(\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} a^{2} - {\left(a b^{2} c^{2} + a^{3} d^{2} + {\left(b^{4} c^{5} d + a^{2} b^{2} c^{3} d^{3}\right)} \sqrt{\frac{a^{4}}{b^{6} c^{8} + a^{2} b^{4} c^{6} d^{2}}}\right)} \sqrt{\frac{a^{3} d - {\left(b^{4} c^{5} + a^{2} b^{2} c^{3} d^{2}\right)} \sqrt{\frac{a^{4}}{b^{6} c^{8} + a^{2} b^{4} c^{6} d^{2}}}}{b^{4} c^{5} + a^{2} b^{2} c^{3} d^{2}}}\right) + 2 \, \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} {\left(a x - \sqrt{a^{2} x^{2} + b^{2}}\right)}}{2 \, {\left(b^{2} c^{2} x + b^{2} c d\right)}}"," ",0,"1/2*((b^2*c^2*x + b^2*c*d)*sqrt((a^3*d + (b^4*c^5 + a^2*b^2*c^3*d^2)*sqrt(a^4/(b^6*c^8 + a^2*b^4*c^6*d^2)))/(b^4*c^5 + a^2*b^2*c^3*d^2))*log(sqrt(a*x + sqrt(a^2*x^2 + b^2))*a^2 + (a*b^2*c^2 + a^3*d^2 - (b^4*c^5*d + a^2*b^2*c^3*d^3)*sqrt(a^4/(b^6*c^8 + a^2*b^4*c^6*d^2)))*sqrt((a^3*d + (b^4*c^5 + a^2*b^2*c^3*d^2)*sqrt(a^4/(b^6*c^8 + a^2*b^4*c^6*d^2)))/(b^4*c^5 + a^2*b^2*c^3*d^2))) - (b^2*c^2*x + b^2*c*d)*sqrt((a^3*d + (b^4*c^5 + a^2*b^2*c^3*d^2)*sqrt(a^4/(b^6*c^8 + a^2*b^4*c^6*d^2)))/(b^4*c^5 + a^2*b^2*c^3*d^2))*log(sqrt(a*x + sqrt(a^2*x^2 + b^2))*a^2 - (a*b^2*c^2 + a^3*d^2 - (b^4*c^5*d + a^2*b^2*c^3*d^3)*sqrt(a^4/(b^6*c^8 + a^2*b^4*c^6*d^2)))*sqrt((a^3*d + (b^4*c^5 + a^2*b^2*c^3*d^2)*sqrt(a^4/(b^6*c^8 + a^2*b^4*c^6*d^2)))/(b^4*c^5 + a^2*b^2*c^3*d^2))) + (b^2*c^2*x + b^2*c*d)*sqrt((a^3*d - (b^4*c^5 + a^2*b^2*c^3*d^2)*sqrt(a^4/(b^6*c^8 + a^2*b^4*c^6*d^2)))/(b^4*c^5 + a^2*b^2*c^3*d^2))*log(sqrt(a*x + sqrt(a^2*x^2 + b^2))*a^2 + (a*b^2*c^2 + a^3*d^2 + (b^4*c^5*d + a^2*b^2*c^3*d^3)*sqrt(a^4/(b^6*c^8 + a^2*b^4*c^6*d^2)))*sqrt((a^3*d - (b^4*c^5 + a^2*b^2*c^3*d^2)*sqrt(a^4/(b^6*c^8 + a^2*b^4*c^6*d^2)))/(b^4*c^5 + a^2*b^2*c^3*d^2))) - (b^2*c^2*x + b^2*c*d)*sqrt((a^3*d - (b^4*c^5 + a^2*b^2*c^3*d^2)*sqrt(a^4/(b^6*c^8 + a^2*b^4*c^6*d^2)))/(b^4*c^5 + a^2*b^2*c^3*d^2))*log(sqrt(a*x + sqrt(a^2*x^2 + b^2))*a^2 - (a*b^2*c^2 + a^3*d^2 + (b^4*c^5*d + a^2*b^2*c^3*d^3)*sqrt(a^4/(b^6*c^8 + a^2*b^4*c^6*d^2)))*sqrt((a^3*d - (b^4*c^5 + a^2*b^2*c^3*d^2)*sqrt(a^4/(b^6*c^8 + a^2*b^4*c^6*d^2)))/(b^4*c^5 + a^2*b^2*c^3*d^2))) + 2*sqrt(a*x + sqrt(a^2*x^2 + b^2))*(a*x - sqrt(a^2*x^2 + b^2)))/(b^2*c^2*x + b^2*c*d)","B",0
2765,1,517,0,5.835312," ","integrate((x^2+1)^2/(x^2-1)^2/(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{8 \, {\left(x^{2} - 1\right)} \sqrt{10 \, \sqrt{2} + 14} \arctan\left(\frac{{\left(4 \, x^{2} - 2 \, \sqrt{2} {\left(x^{2} + 3\right)} + \sqrt{x^{4} + 1} {\left({\left(\sqrt{2} - 2\right)} \sqrt{-8 \, \sqrt{2} + 12} + 2 \, \sqrt{2} - 4\right)} + {\left(2 \, x^{2} - \sqrt{2} {\left(x^{2} + 1\right)}\right)} \sqrt{-8 \, \sqrt{2} + 12} + 8\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{10 \, \sqrt{2} + 14}}{8 \, x}\right) + 16 \, \sqrt{2} {\left(x^{2} - 1\right)} \arctan\left(-\frac{{\left(\sqrt{2} x^{2} - \sqrt{2} \sqrt{x^{4} + 1}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{2 \, x}\right) + \sqrt{2} {\left(x^{2} - 1\right)} \log\left(4 \, x^{4} + 4 \, \sqrt{x^{4} + 1} x^{2} + 2 \, {\left(\sqrt{2} x^{3} + \sqrt{2} \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 1\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{10 \, \sqrt{2} - 14} \log\left(-\frac{2 \, \sqrt{2} x^{2} + 4 \, x^{2} + {\left(4 \, x^{3} + \sqrt{2} {\left(3 \, x^{3} - 7 \, x\right)} - \sqrt{x^{4} + 1} {\left(3 \, \sqrt{2} x + 4 \, x\right)} - 10 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{10 \, \sqrt{2} - 14} + 2 \, \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)}}{x^{2} - 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{10 \, \sqrt{2} - 14} \log\left(-\frac{2 \, \sqrt{2} x^{2} + 4 \, x^{2} - {\left(4 \, x^{3} + \sqrt{2} {\left(3 \, x^{3} - 7 \, x\right)} - \sqrt{x^{4} + 1} {\left(3 \, \sqrt{2} x + 4 \, x\right)} - 10 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{10 \, \sqrt{2} - 14} + 2 \, \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)}}{x^{2} - 1}\right) - 4 \, {\left(x^{5} - 5 \, x^{3} - \sqrt{x^{4} + 1} {\left(x^{3} - 5 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{8 \, {\left(x^{2} - 1\right)}}"," ",0,"1/8*(8*(x^2 - 1)*sqrt(10*sqrt(2) + 14)*arctan(1/8*(4*x^2 - 2*sqrt(2)*(x^2 + 3) + sqrt(x^4 + 1)*((sqrt(2) - 2)*sqrt(-8*sqrt(2) + 12) + 2*sqrt(2) - 4) + (2*x^2 - sqrt(2)*(x^2 + 1))*sqrt(-8*sqrt(2) + 12) + 8)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(10*sqrt(2) + 14)/x) + 16*sqrt(2)*(x^2 - 1)*arctan(-1/2*(sqrt(2)*x^2 - sqrt(2)*sqrt(x^4 + 1))*sqrt(x^2 + sqrt(x^4 + 1))/x) + sqrt(2)*(x^2 - 1)*log(4*x^4 + 4*sqrt(x^4 + 1)*x^2 + 2*(sqrt(2)*x^3 + sqrt(2)*sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1) + 2*(x^2 - 1)*sqrt(10*sqrt(2) - 14)*log(-(2*sqrt(2)*x^2 + 4*x^2 + (4*x^3 + sqrt(2)*(3*x^3 - 7*x) - sqrt(x^4 + 1)*(3*sqrt(2)*x + 4*x) - 10*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(10*sqrt(2) - 14) + 2*sqrt(x^4 + 1)*(sqrt(2) + 1))/(x^2 - 1)) - 2*(x^2 - 1)*sqrt(10*sqrt(2) - 14)*log(-(2*sqrt(2)*x^2 + 4*x^2 - (4*x^3 + sqrt(2)*(3*x^3 - 7*x) - sqrt(x^4 + 1)*(3*sqrt(2)*x + 4*x) - 10*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(10*sqrt(2) - 14) + 2*sqrt(x^4 + 1)*(sqrt(2) + 1))/(x^2 - 1)) - 4*(x^5 - 5*x^3 - sqrt(x^4 + 1)*(x^3 - 5*x))*sqrt(x^2 + sqrt(x^4 + 1)))/(x^2 - 1)","B",0
2766,-1,0,0,0.000000," ","integrate((a*(a*b+a*c-2*b*c)-2*(a^2-b*c)*x+(2*a-b-c)*x^2)/((-a+x)*(-b+x)*(-c+x))^(2/3)/(a^2-b*c*d+(b*d+c*d-2*a)*x+(1-d)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2767,1,4887,0,3.627435," ","integrate((x^4+1)/(x^4-1)/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(4 \, a^{2} + 4 \, a b - 2 \, b c - c^{2}\right)} \sqrt{2 \, a - 2 \, b + c} \log\left(\frac{{\left(24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a + 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{2 \, a - 2 \, b + c} + 24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right) + {\left(4 \, a^{2} - 4 \, a b + 2 \, b c - c^{2}\right)} \sqrt{2 \, a + 2 \, b + c} \log\left(\frac{{\left(24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a - 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} - 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{2 \, a + 2 \, b + c} + 24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right) - 2 \, {\left(4 \, a^{2} - 4 \, b^{2} + 4 \, a c + c^{2}\right)} \sqrt{-2 \, a + c} \log\left(-\frac{{\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} x^{4} + 8 \, {\left(2 \, a b - b c\right)} x^{3} - 2 \, {\left(8 \, a^{2} + b^{2} - 12 \, a c + 4 \, c^{2}\right)} x^{2} + 8 \, a^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(b x^{2} - 2 \, {\left(2 \, a - c\right)} x + b\right)} \sqrt{-2 \, a + c} - b^{2} - 4 \, a c + 8 \, {\left(2 \, a b - b c\right)} x}{x^{4} + 2 \, x^{2} + 1}\right)}{8 \, {\left(8 \, a^{3} - 8 \, a b^{2} - 2 \, a c^{2} - c^{3} + 4 \, {\left(a^{2} + b^{2}\right)} c\right)}}, -\frac{4 \, {\left(4 \, a^{2} - 4 \, b^{2} + 4 \, a c + c^{2}\right)} \sqrt{2 \, a - c} \arctan\left(-\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(b x^{2} - 2 \, {\left(2 \, a - c\right)} x + b\right)} \sqrt{2 \, a - c}}{2 \, {\left({\left(2 \, a^{2} - a c\right)} x^{4} + {\left(2 \, a b - b c\right)} x^{3} + {\left(2 \, a c - c^{2}\right)} x^{2} + 2 \, a^{2} - a c + {\left(2 \, a b - b c\right)} x\right)}}\right) - {\left(4 \, a^{2} + 4 \, a b - 2 \, b c - c^{2}\right)} \sqrt{2 \, a - 2 \, b + c} \log\left(\frac{{\left(24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a + 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{2 \, a - 2 \, b + c} + 24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right) - {\left(4 \, a^{2} - 4 \, a b + 2 \, b c - c^{2}\right)} \sqrt{2 \, a + 2 \, b + c} \log\left(\frac{{\left(24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a - 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} - 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{2 \, a + 2 \, b + c} + 24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right)}{8 \, {\left(8 \, a^{3} - 8 \, a b^{2} - 2 \, a c^{2} - c^{3} + 4 \, {\left(a^{2} + b^{2}\right)} c\right)}}, \frac{2 \, {\left(4 \, a^{2} - 4 \, a b + 2 \, b c - c^{2}\right)} \sqrt{-2 \, a - 2 \, b - c} \arctan\left(\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{-2 \, a - 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} + 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a + b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} + 2 \, a b + a c + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x\right)}}\right) + {\left(4 \, a^{2} + 4 \, a b - 2 \, b c - c^{2}\right)} \sqrt{2 \, a - 2 \, b + c} \log\left(\frac{{\left(24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a + 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{2 \, a - 2 \, b + c} + 24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right) - 2 \, {\left(4 \, a^{2} - 4 \, b^{2} + 4 \, a c + c^{2}\right)} \sqrt{-2 \, a + c} \log\left(-\frac{{\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} x^{4} + 8 \, {\left(2 \, a b - b c\right)} x^{3} - 2 \, {\left(8 \, a^{2} + b^{2} - 12 \, a c + 4 \, c^{2}\right)} x^{2} + 8 \, a^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(b x^{2} - 2 \, {\left(2 \, a - c\right)} x + b\right)} \sqrt{-2 \, a + c} - b^{2} - 4 \, a c + 8 \, {\left(2 \, a b - b c\right)} x}{x^{4} + 2 \, x^{2} + 1}\right)}{8 \, {\left(8 \, a^{3} - 8 \, a b^{2} - 2 \, a c^{2} - c^{3} + 4 \, {\left(a^{2} + b^{2}\right)} c\right)}}, -\frac{4 \, {\left(4 \, a^{2} - 4 \, b^{2} + 4 \, a c + c^{2}\right)} \sqrt{2 \, a - c} \arctan\left(-\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(b x^{2} - 2 \, {\left(2 \, a - c\right)} x + b\right)} \sqrt{2 \, a - c}}{2 \, {\left({\left(2 \, a^{2} - a c\right)} x^{4} + {\left(2 \, a b - b c\right)} x^{3} + {\left(2 \, a c - c^{2}\right)} x^{2} + 2 \, a^{2} - a c + {\left(2 \, a b - b c\right)} x\right)}}\right) - 2 \, {\left(4 \, a^{2} - 4 \, a b + 2 \, b c - c^{2}\right)} \sqrt{-2 \, a - 2 \, b - c} \arctan\left(\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{-2 \, a - 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} + 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a + b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} + 2 \, a b + a c + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x\right)}}\right) - {\left(4 \, a^{2} + 4 \, a b - 2 \, b c - c^{2}\right)} \sqrt{2 \, a - 2 \, b + c} \log\left(\frac{{\left(24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a + 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{2 \, a - 2 \, b + c} + 24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right)}{8 \, {\left(8 \, a^{3} - 8 \, a b^{2} - 2 \, a c^{2} - c^{3} + 4 \, {\left(a^{2} + b^{2}\right)} c\right)}}, \frac{2 \, {\left(4 \, a^{2} + 4 \, a b - 2 \, b c - c^{2}\right)} \sqrt{-2 \, a + 2 \, b - c} \arctan\left(-\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{-2 \, a + 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} - 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a - b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} - 2 \, a b + a c + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x\right)}}\right) + {\left(4 \, a^{2} - 4 \, a b + 2 \, b c - c^{2}\right)} \sqrt{2 \, a + 2 \, b + c} \log\left(\frac{{\left(24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a - 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} - 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{2 \, a + 2 \, b + c} + 24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right) - 2 \, {\left(4 \, a^{2} - 4 \, b^{2} + 4 \, a c + c^{2}\right)} \sqrt{-2 \, a + c} \log\left(-\frac{{\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} x^{4} + 8 \, {\left(2 \, a b - b c\right)} x^{3} - 2 \, {\left(8 \, a^{2} + b^{2} - 12 \, a c + 4 \, c^{2}\right)} x^{2} + 8 \, a^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(b x^{2} - 2 \, {\left(2 \, a - c\right)} x + b\right)} \sqrt{-2 \, a + c} - b^{2} - 4 \, a c + 8 \, {\left(2 \, a b - b c\right)} x}{x^{4} + 2 \, x^{2} + 1}\right)}{8 \, {\left(8 \, a^{3} - 8 \, a b^{2} - 2 \, a c^{2} - c^{3} + 4 \, {\left(a^{2} + b^{2}\right)} c\right)}}, -\frac{4 \, {\left(4 \, a^{2} - 4 \, b^{2} + 4 \, a c + c^{2}\right)} \sqrt{2 \, a - c} \arctan\left(-\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(b x^{2} - 2 \, {\left(2 \, a - c\right)} x + b\right)} \sqrt{2 \, a - c}}{2 \, {\left({\left(2 \, a^{2} - a c\right)} x^{4} + {\left(2 \, a b - b c\right)} x^{3} + {\left(2 \, a c - c^{2}\right)} x^{2} + 2 \, a^{2} - a c + {\left(2 \, a b - b c\right)} x\right)}}\right) - 2 \, {\left(4 \, a^{2} + 4 \, a b - 2 \, b c - c^{2}\right)} \sqrt{-2 \, a + 2 \, b - c} \arctan\left(-\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{-2 \, a + 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} - 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a - b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} - 2 \, a b + a c + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x\right)}}\right) - {\left(4 \, a^{2} - 4 \, a b + 2 \, b c - c^{2}\right)} \sqrt{2 \, a + 2 \, b + c} \log\left(\frac{{\left(24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a - 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} - 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{2 \, a + 2 \, b + c} + 24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right)}{8 \, {\left(8 \, a^{3} - 8 \, a b^{2} - 2 \, a c^{2} - c^{3} + 4 \, {\left(a^{2} + b^{2}\right)} c\right)}}, \frac{{\left(4 \, a^{2} + 4 \, a b - 2 \, b c - c^{2}\right)} \sqrt{-2 \, a + 2 \, b - c} \arctan\left(-\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{-2 \, a + 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} - 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a - b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} - 2 \, a b + a c + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x\right)}}\right) + {\left(4 \, a^{2} - 4 \, a b + 2 \, b c - c^{2}\right)} \sqrt{-2 \, a - 2 \, b - c} \arctan\left(\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{-2 \, a - 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} + 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a + b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} + 2 \, a b + a c + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x\right)}}\right) - {\left(4 \, a^{2} - 4 \, b^{2} + 4 \, a c + c^{2}\right)} \sqrt{-2 \, a + c} \log\left(-\frac{{\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} x^{4} + 8 \, {\left(2 \, a b - b c\right)} x^{3} - 2 \, {\left(8 \, a^{2} + b^{2} - 12 \, a c + 4 \, c^{2}\right)} x^{2} + 8 \, a^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(b x^{2} - 2 \, {\left(2 \, a - c\right)} x + b\right)} \sqrt{-2 \, a + c} - b^{2} - 4 \, a c + 8 \, {\left(2 \, a b - b c\right)} x}{x^{4} + 2 \, x^{2} + 1}\right)}{4 \, {\left(8 \, a^{3} - 8 \, a b^{2} - 2 \, a c^{2} - c^{3} + 4 \, {\left(a^{2} + b^{2}\right)} c\right)}}, -\frac{2 \, {\left(4 \, a^{2} - 4 \, b^{2} + 4 \, a c + c^{2}\right)} \sqrt{2 \, a - c} \arctan\left(-\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(b x^{2} - 2 \, {\left(2 \, a - c\right)} x + b\right)} \sqrt{2 \, a - c}}{2 \, {\left({\left(2 \, a^{2} - a c\right)} x^{4} + {\left(2 \, a b - b c\right)} x^{3} + {\left(2 \, a c - c^{2}\right)} x^{2} + 2 \, a^{2} - a c + {\left(2 \, a b - b c\right)} x\right)}}\right) - {\left(4 \, a^{2} + 4 \, a b - 2 \, b c - c^{2}\right)} \sqrt{-2 \, a + 2 \, b - c} \arctan\left(-\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{-2 \, a + 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} - 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a - b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} - 2 \, a b + a c + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x\right)}}\right) - {\left(4 \, a^{2} - 4 \, a b + 2 \, b c - c^{2}\right)} \sqrt{-2 \, a - 2 \, b - c} \arctan\left(\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{-2 \, a - 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} + 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a + b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} + 2 \, a b + a c + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x\right)}}\right)}{4 \, {\left(8 \, a^{3} - 8 \, a b^{2} - 2 \, a c^{2} - c^{3} + 4 \, {\left(a^{2} + b^{2}\right)} c\right)}}\right]"," ",0,"[1/8*((4*a^2 + 4*a*b - 2*b*c - c^2)*sqrt(2*a - 2*b + c)*log(((24*a^2 - 16*a*b + b^2 + 4*a*c)*x^4 + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a + 2*b)*c + 4*c^2)*x^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(2*a - 2*b + c) + 24*a^2 - 16*a*b + b^2 + 4*a*c + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x)/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1)) + (4*a^2 - 4*a*b + 2*b*c - c^2)*sqrt(2*a + 2*b + c)*log(((24*a^2 + 16*a*b + b^2 + 4*a*c)*x^4 - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a - 2*b)*c + 4*c^2)*x^2 - 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(2*a + 2*b + c) + 24*a^2 + 16*a*b + b^2 + 4*a*c - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)) - 2*(4*a^2 - 4*b^2 + 4*a*c + c^2)*sqrt(-2*a + c)*log(-((8*a^2 - b^2 - 4*a*c)*x^4 + 8*(2*a*b - b*c)*x^3 - 2*(8*a^2 + b^2 - 12*a*c + 4*c^2)*x^2 + 8*a^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(b*x^2 - 2*(2*a - c)*x + b)*sqrt(-2*a + c) - b^2 - 4*a*c + 8*(2*a*b - b*c)*x)/(x^4 + 2*x^2 + 1)))/(8*a^3 - 8*a*b^2 - 2*a*c^2 - c^3 + 4*(a^2 + b^2)*c), -1/8*(4*(4*a^2 - 4*b^2 + 4*a*c + c^2)*sqrt(2*a - c)*arctan(-1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(b*x^2 - 2*(2*a - c)*x + b)*sqrt(2*a - c)/((2*a^2 - a*c)*x^4 + (2*a*b - b*c)*x^3 + (2*a*c - c^2)*x^2 + 2*a^2 - a*c + (2*a*b - b*c)*x)) - (4*a^2 + 4*a*b - 2*b*c - c^2)*sqrt(2*a - 2*b + c)*log(((24*a^2 - 16*a*b + b^2 + 4*a*c)*x^4 + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a + 2*b)*c + 4*c^2)*x^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(2*a - 2*b + c) + 24*a^2 - 16*a*b + b^2 + 4*a*c + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x)/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1)) - (4*a^2 - 4*a*b + 2*b*c - c^2)*sqrt(2*a + 2*b + c)*log(((24*a^2 + 16*a*b + b^2 + 4*a*c)*x^4 - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a - 2*b)*c + 4*c^2)*x^2 - 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(2*a + 2*b + c) + 24*a^2 + 16*a*b + b^2 + 4*a*c - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)))/(8*a^3 - 8*a*b^2 - 2*a*c^2 - c^3 + 4*(a^2 + b^2)*c), 1/8*(2*(4*a^2 - 4*a*b + 2*b*c - c^2)*sqrt(-2*a - 2*b - c)*arctan(1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(-2*a - 2*b - c)/((2*a^2 + 2*a*b + a*c)*x^4 + (2*a*b + 2*b^2 + b*c)*x^3 + (2*(a + b)*c + c^2)*x^2 + 2*a^2 + 2*a*b + a*c + (2*a*b + 2*b^2 + b*c)*x)) + (4*a^2 + 4*a*b - 2*b*c - c^2)*sqrt(2*a - 2*b + c)*log(((24*a^2 - 16*a*b + b^2 + 4*a*c)*x^4 + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a + 2*b)*c + 4*c^2)*x^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(2*a - 2*b + c) + 24*a^2 - 16*a*b + b^2 + 4*a*c + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x)/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1)) - 2*(4*a^2 - 4*b^2 + 4*a*c + c^2)*sqrt(-2*a + c)*log(-((8*a^2 - b^2 - 4*a*c)*x^4 + 8*(2*a*b - b*c)*x^3 - 2*(8*a^2 + b^2 - 12*a*c + 4*c^2)*x^2 + 8*a^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(b*x^2 - 2*(2*a - c)*x + b)*sqrt(-2*a + c) - b^2 - 4*a*c + 8*(2*a*b - b*c)*x)/(x^4 + 2*x^2 + 1)))/(8*a^3 - 8*a*b^2 - 2*a*c^2 - c^3 + 4*(a^2 + b^2)*c), -1/8*(4*(4*a^2 - 4*b^2 + 4*a*c + c^2)*sqrt(2*a - c)*arctan(-1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(b*x^2 - 2*(2*a - c)*x + b)*sqrt(2*a - c)/((2*a^2 - a*c)*x^4 + (2*a*b - b*c)*x^3 + (2*a*c - c^2)*x^2 + 2*a^2 - a*c + (2*a*b - b*c)*x)) - 2*(4*a^2 - 4*a*b + 2*b*c - c^2)*sqrt(-2*a - 2*b - c)*arctan(1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(-2*a - 2*b - c)/((2*a^2 + 2*a*b + a*c)*x^4 + (2*a*b + 2*b^2 + b*c)*x^3 + (2*(a + b)*c + c^2)*x^2 + 2*a^2 + 2*a*b + a*c + (2*a*b + 2*b^2 + b*c)*x)) - (4*a^2 + 4*a*b - 2*b*c - c^2)*sqrt(2*a - 2*b + c)*log(((24*a^2 - 16*a*b + b^2 + 4*a*c)*x^4 + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a + 2*b)*c + 4*c^2)*x^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(2*a - 2*b + c) + 24*a^2 - 16*a*b + b^2 + 4*a*c + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x)/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1)))/(8*a^3 - 8*a*b^2 - 2*a*c^2 - c^3 + 4*(a^2 + b^2)*c), 1/8*(2*(4*a^2 + 4*a*b - 2*b*c - c^2)*sqrt(-2*a + 2*b - c)*arctan(-1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(-2*a + 2*b - c)/((2*a^2 - 2*a*b + a*c)*x^4 + (2*a*b - 2*b^2 + b*c)*x^3 + (2*(a - b)*c + c^2)*x^2 + 2*a^2 - 2*a*b + a*c + (2*a*b - 2*b^2 + b*c)*x)) + (4*a^2 - 4*a*b + 2*b*c - c^2)*sqrt(2*a + 2*b + c)*log(((24*a^2 + 16*a*b + b^2 + 4*a*c)*x^4 - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a - 2*b)*c + 4*c^2)*x^2 - 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(2*a + 2*b + c) + 24*a^2 + 16*a*b + b^2 + 4*a*c - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)) - 2*(4*a^2 - 4*b^2 + 4*a*c + c^2)*sqrt(-2*a + c)*log(-((8*a^2 - b^2 - 4*a*c)*x^4 + 8*(2*a*b - b*c)*x^3 - 2*(8*a^2 + b^2 - 12*a*c + 4*c^2)*x^2 + 8*a^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(b*x^2 - 2*(2*a - c)*x + b)*sqrt(-2*a + c) - b^2 - 4*a*c + 8*(2*a*b - b*c)*x)/(x^4 + 2*x^2 + 1)))/(8*a^3 - 8*a*b^2 - 2*a*c^2 - c^3 + 4*(a^2 + b^2)*c), -1/8*(4*(4*a^2 - 4*b^2 + 4*a*c + c^2)*sqrt(2*a - c)*arctan(-1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(b*x^2 - 2*(2*a - c)*x + b)*sqrt(2*a - c)/((2*a^2 - a*c)*x^4 + (2*a*b - b*c)*x^3 + (2*a*c - c^2)*x^2 + 2*a^2 - a*c + (2*a*b - b*c)*x)) - 2*(4*a^2 + 4*a*b - 2*b*c - c^2)*sqrt(-2*a + 2*b - c)*arctan(-1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(-2*a + 2*b - c)/((2*a^2 - 2*a*b + a*c)*x^4 + (2*a*b - 2*b^2 + b*c)*x^3 + (2*(a - b)*c + c^2)*x^2 + 2*a^2 - 2*a*b + a*c + (2*a*b - 2*b^2 + b*c)*x)) - (4*a^2 - 4*a*b + 2*b*c - c^2)*sqrt(2*a + 2*b + c)*log(((24*a^2 + 16*a*b + b^2 + 4*a*c)*x^4 - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a - 2*b)*c + 4*c^2)*x^2 - 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(2*a + 2*b + c) + 24*a^2 + 16*a*b + b^2 + 4*a*c - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)))/(8*a^3 - 8*a*b^2 - 2*a*c^2 - c^3 + 4*(a^2 + b^2)*c), 1/4*((4*a^2 + 4*a*b - 2*b*c - c^2)*sqrt(-2*a + 2*b - c)*arctan(-1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(-2*a + 2*b - c)/((2*a^2 - 2*a*b + a*c)*x^4 + (2*a*b - 2*b^2 + b*c)*x^3 + (2*(a - b)*c + c^2)*x^2 + 2*a^2 - 2*a*b + a*c + (2*a*b - 2*b^2 + b*c)*x)) + (4*a^2 - 4*a*b + 2*b*c - c^2)*sqrt(-2*a - 2*b - c)*arctan(1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(-2*a - 2*b - c)/((2*a^2 + 2*a*b + a*c)*x^4 + (2*a*b + 2*b^2 + b*c)*x^3 + (2*(a + b)*c + c^2)*x^2 + 2*a^2 + 2*a*b + a*c + (2*a*b + 2*b^2 + b*c)*x)) - (4*a^2 - 4*b^2 + 4*a*c + c^2)*sqrt(-2*a + c)*log(-((8*a^2 - b^2 - 4*a*c)*x^4 + 8*(2*a*b - b*c)*x^3 - 2*(8*a^2 + b^2 - 12*a*c + 4*c^2)*x^2 + 8*a^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(b*x^2 - 2*(2*a - c)*x + b)*sqrt(-2*a + c) - b^2 - 4*a*c + 8*(2*a*b - b*c)*x)/(x^4 + 2*x^2 + 1)))/(8*a^3 - 8*a*b^2 - 2*a*c^2 - c^3 + 4*(a^2 + b^2)*c), -1/4*(2*(4*a^2 - 4*b^2 + 4*a*c + c^2)*sqrt(2*a - c)*arctan(-1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(b*x^2 - 2*(2*a - c)*x + b)*sqrt(2*a - c)/((2*a^2 - a*c)*x^4 + (2*a*b - b*c)*x^3 + (2*a*c - c^2)*x^2 + 2*a^2 - a*c + (2*a*b - b*c)*x)) - (4*a^2 + 4*a*b - 2*b*c - c^2)*sqrt(-2*a + 2*b - c)*arctan(-1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(-2*a + 2*b - c)/((2*a^2 - 2*a*b + a*c)*x^4 + (2*a*b - 2*b^2 + b*c)*x^3 + (2*(a - b)*c + c^2)*x^2 + 2*a^2 - 2*a*b + a*c + (2*a*b - 2*b^2 + b*c)*x)) - (4*a^2 - 4*a*b + 2*b*c - c^2)*sqrt(-2*a - 2*b - c)*arctan(1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(-2*a - 2*b - c)/((2*a^2 + 2*a*b + a*c)*x^4 + (2*a*b + 2*b^2 + b*c)*x^3 + (2*(a + b)*c + c^2)*x^2 + 2*a^2 + 2*a*b + a*c + (2*a*b + 2*b^2 + b*c)*x)))/(8*a^3 - 8*a*b^2 - 2*a*c^2 - c^3 + 4*(a^2 + b^2)*c)]","B",0
2768,1,517,0,6.028158," ","integrate((x^2-1)^2/(x^2+1)^2/(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{8 \, {\left(x^{2} + 1\right)} \sqrt{10 \, \sqrt{2} + 14} \arctan\left(-\frac{{\left(4 \, x^{2} - 2 \, \sqrt{2} {\left(x^{2} - 3\right)} - \sqrt{x^{4} + 1} {\left({\left(\sqrt{2} - 2\right)} \sqrt{-8 \, \sqrt{2} + 12} - 2 \, \sqrt{2} + 4\right)} - {\left(2 \, x^{2} - \sqrt{2} {\left(x^{2} - 1\right)}\right)} \sqrt{-8 \, \sqrt{2} + 12} - 8\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{10 \, \sqrt{2} + 14}}{8 \, x}\right) - 16 \, \sqrt{2} {\left(x^{2} + 1\right)} \arctan\left(-\frac{{\left(\sqrt{2} x^{2} - \sqrt{2} \sqrt{x^{4} + 1}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{2 \, x}\right) + \sqrt{2} {\left(x^{2} + 1\right)} \log\left(4 \, x^{4} + 4 \, \sqrt{x^{4} + 1} x^{2} + 2 \, {\left(\sqrt{2} x^{3} + \sqrt{2} \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 1\right) - 2 \, {\left(x^{2} + 1\right)} \sqrt{10 \, \sqrt{2} - 14} \log\left(\frac{2 \, \sqrt{2} x^{2} + 4 \, x^{2} + {\left(4 \, x^{3} + \sqrt{2} {\left(3 \, x^{3} + 7 \, x\right)} - \sqrt{x^{4} + 1} {\left(3 \, \sqrt{2} x + 4 \, x\right)} + 10 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{10 \, \sqrt{2} - 14} + 2 \, \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)}}{x^{2} + 1}\right) + 2 \, {\left(x^{2} + 1\right)} \sqrt{10 \, \sqrt{2} - 14} \log\left(\frac{2 \, \sqrt{2} x^{2} + 4 \, x^{2} - {\left(4 \, x^{3} + \sqrt{2} {\left(3 \, x^{3} + 7 \, x\right)} - \sqrt{x^{4} + 1} {\left(3 \, \sqrt{2} x + 4 \, x\right)} + 10 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{10 \, \sqrt{2} - 14} + 2 \, \sqrt{x^{4} + 1} {\left(\sqrt{2} + 1\right)}}{x^{2} + 1}\right) - 4 \, {\left(x^{5} + 5 \, x^{3} - \sqrt{x^{4} + 1} {\left(x^{3} + 5 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{8 \, {\left(x^{2} + 1\right)}}"," ",0,"1/8*(8*(x^2 + 1)*sqrt(10*sqrt(2) + 14)*arctan(-1/8*(4*x^2 - 2*sqrt(2)*(x^2 - 3) - sqrt(x^4 + 1)*((sqrt(2) - 2)*sqrt(-8*sqrt(2) + 12) - 2*sqrt(2) + 4) - (2*x^2 - sqrt(2)*(x^2 - 1))*sqrt(-8*sqrt(2) + 12) - 8)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(10*sqrt(2) + 14)/x) - 16*sqrt(2)*(x^2 + 1)*arctan(-1/2*(sqrt(2)*x^2 - sqrt(2)*sqrt(x^4 + 1))*sqrt(x^2 + sqrt(x^4 + 1))/x) + sqrt(2)*(x^2 + 1)*log(4*x^4 + 4*sqrt(x^4 + 1)*x^2 + 2*(sqrt(2)*x^3 + sqrt(2)*sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1) - 2*(x^2 + 1)*sqrt(10*sqrt(2) - 14)*log((2*sqrt(2)*x^2 + 4*x^2 + (4*x^3 + sqrt(2)*(3*x^3 + 7*x) - sqrt(x^4 + 1)*(3*sqrt(2)*x + 4*x) + 10*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(10*sqrt(2) - 14) + 2*sqrt(x^4 + 1)*(sqrt(2) + 1))/(x^2 + 1)) + 2*(x^2 + 1)*sqrt(10*sqrt(2) - 14)*log((2*sqrt(2)*x^2 + 4*x^2 - (4*x^3 + sqrt(2)*(3*x^3 + 7*x) - sqrt(x^4 + 1)*(3*sqrt(2)*x + 4*x) + 10*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(10*sqrt(2) - 14) + 2*sqrt(x^4 + 1)*(sqrt(2) + 1))/(x^2 + 1)) - 4*(x^5 + 5*x^3 - sqrt(x^4 + 1)*(x^3 + 5*x))*sqrt(x^2 + sqrt(x^4 + 1)))/(x^2 + 1)","B",0
2769,-1,0,0,0.000000," ","integrate((2*a*b^2-b*(2*a+b)*x+x^3)/(x*(-a+x)*(-b+x)^2)^(1/3)/(-a*b^2+b*(2*a+b)*x-(a+2*b+d)*x^2+x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2770,-1,0,0,0.000000," ","integrate((c*x-d)/x/(a*x^3-b)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2771,1,131,0,7.595101," ","integrate((a^4*x^4-b^4+c^2*x^2)/(a^4*x^4-b^4)^(1/2)/(a^4*x^4+b^4),x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, a^{2} b^{2} + c^{2}\right)} \arctan\left(\frac{\sqrt{a^{4} x^{4} - b^{4}} a x}{a^{2} b x^{2} + b^{3}}\right) - {\left(2 \, a^{2} b^{2} - c^{2}\right)} \log\left(\frac{a^{4} x^{4} + 2 \, a^{2} b^{2} x^{2} - b^{4} + 2 \, \sqrt{a^{4} x^{4} - b^{4}} a b x}{a^{4} x^{4} + b^{4}}\right)}{8 \, a^{3} b^{3}}"," ",0,"1/8*(2*(2*a^2*b^2 + c^2)*arctan(sqrt(a^4*x^4 - b^4)*a*x/(a^2*b*x^2 + b^3)) - (2*a^2*b^2 - c^2)*log((a^4*x^4 + 2*a^2*b^2*x^2 - b^4 + 2*sqrt(a^4*x^4 - b^4)*a*b*x)/(a^4*x^4 + b^4)))/(a^3*b^3)","A",0
2772,1,4886,0,4.186038," ","integrate(x^2/(-x^4+1)/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(4 \, a^{2} + 4 \, a b - 2 \, b c - c^{2}\right)} \sqrt{2 \, a - 2 \, b + c} \log\left(\frac{{\left(24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a + 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} - 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{2 \, a - 2 \, b + c} + 24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right) + {\left(4 \, a^{2} - 4 \, a b + 2 \, b c - c^{2}\right)} \sqrt{2 \, a + 2 \, b + c} \log\left(\frac{{\left(24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a - 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{2 \, a + 2 \, b + c} + 24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right) - 2 \, {\left(4 \, a^{2} - 4 \, b^{2} + 4 \, a c + c^{2}\right)} \sqrt{-2 \, a + c} \log\left(-\frac{{\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} x^{4} + 8 \, {\left(2 \, a b - b c\right)} x^{3} - 2 \, {\left(8 \, a^{2} + b^{2} - 12 \, a c + 4 \, c^{2}\right)} x^{2} + 8 \, a^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(b x^{2} - 2 \, {\left(2 \, a - c\right)} x + b\right)} \sqrt{-2 \, a + c} - b^{2} - 4 \, a c + 8 \, {\left(2 \, a b - b c\right)} x}{x^{4} + 2 \, x^{2} + 1}\right)}{16 \, {\left(8 \, a^{3} - 8 \, a b^{2} - 2 \, a c^{2} - c^{3} + 4 \, {\left(a^{2} + b^{2}\right)} c\right)}}, -\frac{4 \, {\left(4 \, a^{2} - 4 \, b^{2} + 4 \, a c + c^{2}\right)} \sqrt{2 \, a - c} \arctan\left(-\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(b x^{2} - 2 \, {\left(2 \, a - c\right)} x + b\right)} \sqrt{2 \, a - c}}{2 \, {\left({\left(2 \, a^{2} - a c\right)} x^{4} + {\left(2 \, a b - b c\right)} x^{3} + {\left(2 \, a c - c^{2}\right)} x^{2} + 2 \, a^{2} - a c + {\left(2 \, a b - b c\right)} x\right)}}\right) - {\left(4 \, a^{2} + 4 \, a b - 2 \, b c - c^{2}\right)} \sqrt{2 \, a - 2 \, b + c} \log\left(\frac{{\left(24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a + 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} - 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{2 \, a - 2 \, b + c} + 24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right) - {\left(4 \, a^{2} - 4 \, a b + 2 \, b c - c^{2}\right)} \sqrt{2 \, a + 2 \, b + c} \log\left(\frac{{\left(24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a - 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{2 \, a + 2 \, b + c} + 24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right)}{16 \, {\left(8 \, a^{3} - 8 \, a b^{2} - 2 \, a c^{2} - c^{3} + 4 \, {\left(a^{2} + b^{2}\right)} c\right)}}, -\frac{2 \, {\left(4 \, a^{2} - 4 \, a b + 2 \, b c - c^{2}\right)} \sqrt{-2 \, a - 2 \, b - c} \arctan\left(\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{-2 \, a - 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} + 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a + b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} + 2 \, a b + a c + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x\right)}}\right) - {\left(4 \, a^{2} + 4 \, a b - 2 \, b c - c^{2}\right)} \sqrt{2 \, a - 2 \, b + c} \log\left(\frac{{\left(24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a + 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} - 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{2 \, a - 2 \, b + c} + 24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right) + 2 \, {\left(4 \, a^{2} - 4 \, b^{2} + 4 \, a c + c^{2}\right)} \sqrt{-2 \, a + c} \log\left(-\frac{{\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} x^{4} + 8 \, {\left(2 \, a b - b c\right)} x^{3} - 2 \, {\left(8 \, a^{2} + b^{2} - 12 \, a c + 4 \, c^{2}\right)} x^{2} + 8 \, a^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(b x^{2} - 2 \, {\left(2 \, a - c\right)} x + b\right)} \sqrt{-2 \, a + c} - b^{2} - 4 \, a c + 8 \, {\left(2 \, a b - b c\right)} x}{x^{4} + 2 \, x^{2} + 1}\right)}{16 \, {\left(8 \, a^{3} - 8 \, a b^{2} - 2 \, a c^{2} - c^{3} + 4 \, {\left(a^{2} + b^{2}\right)} c\right)}}, -\frac{4 \, {\left(4 \, a^{2} - 4 \, b^{2} + 4 \, a c + c^{2}\right)} \sqrt{2 \, a - c} \arctan\left(-\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(b x^{2} - 2 \, {\left(2 \, a - c\right)} x + b\right)} \sqrt{2 \, a - c}}{2 \, {\left({\left(2 \, a^{2} - a c\right)} x^{4} + {\left(2 \, a b - b c\right)} x^{3} + {\left(2 \, a c - c^{2}\right)} x^{2} + 2 \, a^{2} - a c + {\left(2 \, a b - b c\right)} x\right)}}\right) + 2 \, {\left(4 \, a^{2} - 4 \, a b + 2 \, b c - c^{2}\right)} \sqrt{-2 \, a - 2 \, b - c} \arctan\left(\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{-2 \, a - 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} + 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a + b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} + 2 \, a b + a c + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x\right)}}\right) - {\left(4 \, a^{2} + 4 \, a b - 2 \, b c - c^{2}\right)} \sqrt{2 \, a - 2 \, b + c} \log\left(\frac{{\left(24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a + 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} - 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{2 \, a - 2 \, b + c} + 24 \, a^{2} - 16 \, a b + b^{2} + 4 \, a c + 4 \, {\left(8 \, a^{2} + 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a - b\right)} c\right)} x}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right)}{16 \, {\left(8 \, a^{3} - 8 \, a b^{2} - 2 \, a c^{2} - c^{3} + 4 \, {\left(a^{2} + b^{2}\right)} c\right)}}, -\frac{2 \, {\left(4 \, a^{2} + 4 \, a b - 2 \, b c - c^{2}\right)} \sqrt{-2 \, a + 2 \, b - c} \arctan\left(-\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{-2 \, a + 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} - 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a - b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} - 2 \, a b + a c + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x\right)}}\right) - {\left(4 \, a^{2} - 4 \, a b + 2 \, b c - c^{2}\right)} \sqrt{2 \, a + 2 \, b + c} \log\left(\frac{{\left(24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a - 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{2 \, a + 2 \, b + c} + 24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right) + 2 \, {\left(4 \, a^{2} - 4 \, b^{2} + 4 \, a c + c^{2}\right)} \sqrt{-2 \, a + c} \log\left(-\frac{{\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} x^{4} + 8 \, {\left(2 \, a b - b c\right)} x^{3} - 2 \, {\left(8 \, a^{2} + b^{2} - 12 \, a c + 4 \, c^{2}\right)} x^{2} + 8 \, a^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(b x^{2} - 2 \, {\left(2 \, a - c\right)} x + b\right)} \sqrt{-2 \, a + c} - b^{2} - 4 \, a c + 8 \, {\left(2 \, a b - b c\right)} x}{x^{4} + 2 \, x^{2} + 1}\right)}{16 \, {\left(8 \, a^{3} - 8 \, a b^{2} - 2 \, a c^{2} - c^{3} + 4 \, {\left(a^{2} + b^{2}\right)} c\right)}}, -\frac{4 \, {\left(4 \, a^{2} - 4 \, b^{2} + 4 \, a c + c^{2}\right)} \sqrt{2 \, a - c} \arctan\left(-\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(b x^{2} - 2 \, {\left(2 \, a - c\right)} x + b\right)} \sqrt{2 \, a - c}}{2 \, {\left({\left(2 \, a^{2} - a c\right)} x^{4} + {\left(2 \, a b - b c\right)} x^{3} + {\left(2 \, a c - c^{2}\right)} x^{2} + 2 \, a^{2} - a c + {\left(2 \, a b - b c\right)} x\right)}}\right) + 2 \, {\left(4 \, a^{2} + 4 \, a b - 2 \, b c - c^{2}\right)} \sqrt{-2 \, a + 2 \, b - c} \arctan\left(-\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{-2 \, a + 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} - 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a - b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} - 2 \, a b + a c + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x\right)}}\right) - {\left(4 \, a^{2} - 4 \, a b + 2 \, b c - c^{2}\right)} \sqrt{2 \, a + 2 \, b + c} \log\left(\frac{{\left(24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c\right)} x^{4} - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x^{3} + 2 \, {\left(24 \, a^{2} + 3 \, b^{2} - 4 \, {\left(a - 2 \, b\right)} c + 4 \, c^{2}\right)} x^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{2 \, a + 2 \, b + c} + 24 \, a^{2} + 16 \, a b + b^{2} + 4 \, a c - 4 \, {\left(8 \, a^{2} - 4 \, a b - 3 \, b^{2} - 2 \, {\left(2 \, a + b\right)} c\right)} x}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1}\right)}{16 \, {\left(8 \, a^{3} - 8 \, a b^{2} - 2 \, a c^{2} - c^{3} + 4 \, {\left(a^{2} + b^{2}\right)} c\right)}}, -\frac{{\left(4 \, a^{2} + 4 \, a b - 2 \, b c - c^{2}\right)} \sqrt{-2 \, a + 2 \, b - c} \arctan\left(-\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{-2 \, a + 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} - 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a - b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} - 2 \, a b + a c + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x\right)}}\right) + {\left(4 \, a^{2} - 4 \, a b + 2 \, b c - c^{2}\right)} \sqrt{-2 \, a - 2 \, b - c} \arctan\left(\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{-2 \, a - 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} + 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a + b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} + 2 \, a b + a c + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x\right)}}\right) + {\left(4 \, a^{2} - 4 \, b^{2} + 4 \, a c + c^{2}\right)} \sqrt{-2 \, a + c} \log\left(-\frac{{\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} x^{4} + 8 \, {\left(2 \, a b - b c\right)} x^{3} - 2 \, {\left(8 \, a^{2} + b^{2} - 12 \, a c + 4 \, c^{2}\right)} x^{2} + 8 \, a^{2} + 4 \, \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(b x^{2} - 2 \, {\left(2 \, a - c\right)} x + b\right)} \sqrt{-2 \, a + c} - b^{2} - 4 \, a c + 8 \, {\left(2 \, a b - b c\right)} x}{x^{4} + 2 \, x^{2} + 1}\right)}{8 \, {\left(8 \, a^{3} - 8 \, a b^{2} - 2 \, a c^{2} - c^{3} + 4 \, {\left(a^{2} + b^{2}\right)} c\right)}}, -\frac{2 \, {\left(4 \, a^{2} - 4 \, b^{2} + 4 \, a c + c^{2}\right)} \sqrt{2 \, a - c} \arctan\left(-\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(b x^{2} - 2 \, {\left(2 \, a - c\right)} x + b\right)} \sqrt{2 \, a - c}}{2 \, {\left({\left(2 \, a^{2} - a c\right)} x^{4} + {\left(2 \, a b - b c\right)} x^{3} + {\left(2 \, a c - c^{2}\right)} x^{2} + 2 \, a^{2} - a c + {\left(2 \, a b - b c\right)} x\right)}}\right) + {\left(4 \, a^{2} + 4 \, a b - 2 \, b c - c^{2}\right)} \sqrt{-2 \, a + 2 \, b - c} \arctan\left(-\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a - b\right)} x^{2} + 2 \, {\left(2 \, a + b - c\right)} x + 4 \, a - b\right)} \sqrt{-2 \, a + 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} - 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a - b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} - 2 \, a b + a c + {\left(2 \, a b - 2 \, b^{2} + b c\right)} x\right)}}\right) + {\left(4 \, a^{2} - 4 \, a b + 2 \, b c - c^{2}\right)} \sqrt{-2 \, a - 2 \, b - c} \arctan\left(\frac{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left({\left(4 \, a + b\right)} x^{2} - 2 \, {\left(2 \, a - b - c\right)} x + 4 \, a + b\right)} \sqrt{-2 \, a - 2 \, b - c}}{2 \, {\left({\left(2 \, a^{2} + 2 \, a b + a c\right)} x^{4} + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x^{3} + {\left(2 \, {\left(a + b\right)} c + c^{2}\right)} x^{2} + 2 \, a^{2} + 2 \, a b + a c + {\left(2 \, a b + 2 \, b^{2} + b c\right)} x\right)}}\right)}{8 \, {\left(8 \, a^{3} - 8 \, a b^{2} - 2 \, a c^{2} - c^{3} + 4 \, {\left(a^{2} + b^{2}\right)} c\right)}}\right]"," ",0,"[1/16*((4*a^2 + 4*a*b - 2*b*c - c^2)*sqrt(2*a - 2*b + c)*log(((24*a^2 - 16*a*b + b^2 + 4*a*c)*x^4 + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a + 2*b)*c + 4*c^2)*x^2 - 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(2*a - 2*b + c) + 24*a^2 - 16*a*b + b^2 + 4*a*c + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x)/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1)) + (4*a^2 - 4*a*b + 2*b*c - c^2)*sqrt(2*a + 2*b + c)*log(((24*a^2 + 16*a*b + b^2 + 4*a*c)*x^4 - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a - 2*b)*c + 4*c^2)*x^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(2*a + 2*b + c) + 24*a^2 + 16*a*b + b^2 + 4*a*c - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)) - 2*(4*a^2 - 4*b^2 + 4*a*c + c^2)*sqrt(-2*a + c)*log(-((8*a^2 - b^2 - 4*a*c)*x^4 + 8*(2*a*b - b*c)*x^3 - 2*(8*a^2 + b^2 - 12*a*c + 4*c^2)*x^2 + 8*a^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(b*x^2 - 2*(2*a - c)*x + b)*sqrt(-2*a + c) - b^2 - 4*a*c + 8*(2*a*b - b*c)*x)/(x^4 + 2*x^2 + 1)))/(8*a^3 - 8*a*b^2 - 2*a*c^2 - c^3 + 4*(a^2 + b^2)*c), -1/16*(4*(4*a^2 - 4*b^2 + 4*a*c + c^2)*sqrt(2*a - c)*arctan(-1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(b*x^2 - 2*(2*a - c)*x + b)*sqrt(2*a - c)/((2*a^2 - a*c)*x^4 + (2*a*b - b*c)*x^3 + (2*a*c - c^2)*x^2 + 2*a^2 - a*c + (2*a*b - b*c)*x)) - (4*a^2 + 4*a*b - 2*b*c - c^2)*sqrt(2*a - 2*b + c)*log(((24*a^2 - 16*a*b + b^2 + 4*a*c)*x^4 + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a + 2*b)*c + 4*c^2)*x^2 - 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(2*a - 2*b + c) + 24*a^2 - 16*a*b + b^2 + 4*a*c + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x)/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1)) - (4*a^2 - 4*a*b + 2*b*c - c^2)*sqrt(2*a + 2*b + c)*log(((24*a^2 + 16*a*b + b^2 + 4*a*c)*x^4 - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a - 2*b)*c + 4*c^2)*x^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(2*a + 2*b + c) + 24*a^2 + 16*a*b + b^2 + 4*a*c - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)))/(8*a^3 - 8*a*b^2 - 2*a*c^2 - c^3 + 4*(a^2 + b^2)*c), -1/16*(2*(4*a^2 - 4*a*b + 2*b*c - c^2)*sqrt(-2*a - 2*b - c)*arctan(1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(-2*a - 2*b - c)/((2*a^2 + 2*a*b + a*c)*x^4 + (2*a*b + 2*b^2 + b*c)*x^3 + (2*(a + b)*c + c^2)*x^2 + 2*a^2 + 2*a*b + a*c + (2*a*b + 2*b^2 + b*c)*x)) - (4*a^2 + 4*a*b - 2*b*c - c^2)*sqrt(2*a - 2*b + c)*log(((24*a^2 - 16*a*b + b^2 + 4*a*c)*x^4 + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a + 2*b)*c + 4*c^2)*x^2 - 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(2*a - 2*b + c) + 24*a^2 - 16*a*b + b^2 + 4*a*c + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x)/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1)) + 2*(4*a^2 - 4*b^2 + 4*a*c + c^2)*sqrt(-2*a + c)*log(-((8*a^2 - b^2 - 4*a*c)*x^4 + 8*(2*a*b - b*c)*x^3 - 2*(8*a^2 + b^2 - 12*a*c + 4*c^2)*x^2 + 8*a^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(b*x^2 - 2*(2*a - c)*x + b)*sqrt(-2*a + c) - b^2 - 4*a*c + 8*(2*a*b - b*c)*x)/(x^4 + 2*x^2 + 1)))/(8*a^3 - 8*a*b^2 - 2*a*c^2 - c^3 + 4*(a^2 + b^2)*c), -1/16*(4*(4*a^2 - 4*b^2 + 4*a*c + c^2)*sqrt(2*a - c)*arctan(-1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(b*x^2 - 2*(2*a - c)*x + b)*sqrt(2*a - c)/((2*a^2 - a*c)*x^4 + (2*a*b - b*c)*x^3 + (2*a*c - c^2)*x^2 + 2*a^2 - a*c + (2*a*b - b*c)*x)) + 2*(4*a^2 - 4*a*b + 2*b*c - c^2)*sqrt(-2*a - 2*b - c)*arctan(1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(-2*a - 2*b - c)/((2*a^2 + 2*a*b + a*c)*x^4 + (2*a*b + 2*b^2 + b*c)*x^3 + (2*(a + b)*c + c^2)*x^2 + 2*a^2 + 2*a*b + a*c + (2*a*b + 2*b^2 + b*c)*x)) - (4*a^2 + 4*a*b - 2*b*c - c^2)*sqrt(2*a - 2*b + c)*log(((24*a^2 - 16*a*b + b^2 + 4*a*c)*x^4 + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a + 2*b)*c + 4*c^2)*x^2 - 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(2*a - 2*b + c) + 24*a^2 - 16*a*b + b^2 + 4*a*c + 4*(8*a^2 + 4*a*b - 3*b^2 - 2*(2*a - b)*c)*x)/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1)))/(8*a^3 - 8*a*b^2 - 2*a*c^2 - c^3 + 4*(a^2 + b^2)*c), -1/16*(2*(4*a^2 + 4*a*b - 2*b*c - c^2)*sqrt(-2*a + 2*b - c)*arctan(-1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(-2*a + 2*b - c)/((2*a^2 - 2*a*b + a*c)*x^4 + (2*a*b - 2*b^2 + b*c)*x^3 + (2*(a - b)*c + c^2)*x^2 + 2*a^2 - 2*a*b + a*c + (2*a*b - 2*b^2 + b*c)*x)) - (4*a^2 - 4*a*b + 2*b*c - c^2)*sqrt(2*a + 2*b + c)*log(((24*a^2 + 16*a*b + b^2 + 4*a*c)*x^4 - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a - 2*b)*c + 4*c^2)*x^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(2*a + 2*b + c) + 24*a^2 + 16*a*b + b^2 + 4*a*c - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)) + 2*(4*a^2 - 4*b^2 + 4*a*c + c^2)*sqrt(-2*a + c)*log(-((8*a^2 - b^2 - 4*a*c)*x^4 + 8*(2*a*b - b*c)*x^3 - 2*(8*a^2 + b^2 - 12*a*c + 4*c^2)*x^2 + 8*a^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(b*x^2 - 2*(2*a - c)*x + b)*sqrt(-2*a + c) - b^2 - 4*a*c + 8*(2*a*b - b*c)*x)/(x^4 + 2*x^2 + 1)))/(8*a^3 - 8*a*b^2 - 2*a*c^2 - c^3 + 4*(a^2 + b^2)*c), -1/16*(4*(4*a^2 - 4*b^2 + 4*a*c + c^2)*sqrt(2*a - c)*arctan(-1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(b*x^2 - 2*(2*a - c)*x + b)*sqrt(2*a - c)/((2*a^2 - a*c)*x^4 + (2*a*b - b*c)*x^3 + (2*a*c - c^2)*x^2 + 2*a^2 - a*c + (2*a*b - b*c)*x)) + 2*(4*a^2 + 4*a*b - 2*b*c - c^2)*sqrt(-2*a + 2*b - c)*arctan(-1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(-2*a + 2*b - c)/((2*a^2 - 2*a*b + a*c)*x^4 + (2*a*b - 2*b^2 + b*c)*x^3 + (2*(a - b)*c + c^2)*x^2 + 2*a^2 - 2*a*b + a*c + (2*a*b - 2*b^2 + b*c)*x)) - (4*a^2 - 4*a*b + 2*b*c - c^2)*sqrt(2*a + 2*b + c)*log(((24*a^2 + 16*a*b + b^2 + 4*a*c)*x^4 - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x^3 + 2*(24*a^2 + 3*b^2 - 4*(a - 2*b)*c + 4*c^2)*x^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(2*a + 2*b + c) + 24*a^2 + 16*a*b + b^2 + 4*a*c - 4*(8*a^2 - 4*a*b - 3*b^2 - 2*(2*a + b)*c)*x)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)))/(8*a^3 - 8*a*b^2 - 2*a*c^2 - c^3 + 4*(a^2 + b^2)*c), -1/8*((4*a^2 + 4*a*b - 2*b*c - c^2)*sqrt(-2*a + 2*b - c)*arctan(-1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(-2*a + 2*b - c)/((2*a^2 - 2*a*b + a*c)*x^4 + (2*a*b - 2*b^2 + b*c)*x^3 + (2*(a - b)*c + c^2)*x^2 + 2*a^2 - 2*a*b + a*c + (2*a*b - 2*b^2 + b*c)*x)) + (4*a^2 - 4*a*b + 2*b*c - c^2)*sqrt(-2*a - 2*b - c)*arctan(1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(-2*a - 2*b - c)/((2*a^2 + 2*a*b + a*c)*x^4 + (2*a*b + 2*b^2 + b*c)*x^3 + (2*(a + b)*c + c^2)*x^2 + 2*a^2 + 2*a*b + a*c + (2*a*b + 2*b^2 + b*c)*x)) + (4*a^2 - 4*b^2 + 4*a*c + c^2)*sqrt(-2*a + c)*log(-((8*a^2 - b^2 - 4*a*c)*x^4 + 8*(2*a*b - b*c)*x^3 - 2*(8*a^2 + b^2 - 12*a*c + 4*c^2)*x^2 + 8*a^2 + 4*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(b*x^2 - 2*(2*a - c)*x + b)*sqrt(-2*a + c) - b^2 - 4*a*c + 8*(2*a*b - b*c)*x)/(x^4 + 2*x^2 + 1)))/(8*a^3 - 8*a*b^2 - 2*a*c^2 - c^3 + 4*(a^2 + b^2)*c), -1/8*(2*(4*a^2 - 4*b^2 + 4*a*c + c^2)*sqrt(2*a - c)*arctan(-1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(b*x^2 - 2*(2*a - c)*x + b)*sqrt(2*a - c)/((2*a^2 - a*c)*x^4 + (2*a*b - b*c)*x^3 + (2*a*c - c^2)*x^2 + 2*a^2 - a*c + (2*a*b - b*c)*x)) + (4*a^2 + 4*a*b - 2*b*c - c^2)*sqrt(-2*a + 2*b - c)*arctan(-1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a - b)*x^2 + 2*(2*a + b - c)*x + 4*a - b)*sqrt(-2*a + 2*b - c)/((2*a^2 - 2*a*b + a*c)*x^4 + (2*a*b - 2*b^2 + b*c)*x^3 + (2*(a - b)*c + c^2)*x^2 + 2*a^2 - 2*a*b + a*c + (2*a*b - 2*b^2 + b*c)*x)) + (4*a^2 - 4*a*b + 2*b*c - c^2)*sqrt(-2*a - 2*b - c)*arctan(1/2*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*((4*a + b)*x^2 - 2*(2*a - b - c)*x + 4*a + b)*sqrt(-2*a - 2*b - c)/((2*a^2 + 2*a*b + a*c)*x^4 + (2*a*b + 2*b^2 + b*c)*x^3 + (2*(a + b)*c + c^2)*x^2 + 2*a^2 + 2*a*b + a*c + (2*a*b + 2*b^2 + b*c)*x)))/(8*a^3 - 8*a*b^2 - 2*a*c^2 - c^3 + 4*(a^2 + b^2)*c)]","B",0
2773,-1,0,0,0.000000," ","integrate(x*(-b+x)*(-a^2*b+2*a^2*x+(-2*a+b)*x^2)/(x*(-a+x)*(-b+x))^(2/3)/(-a^4+4*a^3*x+(b^2*d-6*a^2)*x^2+2*(-b*d+2*a)*x^3+(-1+d)*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2774,1,552,0,5.222459," ","integrate((x^3-1)^(2/3)*(x^6-8*x^3+8)/x^6/(x^3-4)/(x^3-2),x, algorithm=""fricas"")","\frac{30 \cdot 6^{\frac{1}{6}} \sqrt{2} \left(-1\right)^{\frac{1}{3}} x^{5} \arctan\left(\frac{6^{\frac{1}{6}} {\left(24 \cdot 6^{\frac{2}{3}} \sqrt{2} \left(-1\right)^{\frac{2}{3}} {\left(5 \, x^{7} - 22 \, x^{4} + 8 \, x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} - 36 \, \sqrt{2} \left(-1\right)^{\frac{1}{3}} {\left(109 \, x^{8} - 116 \, x^{5} + 16 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}} + 6^{\frac{1}{3}} \sqrt{2} {\left(1189 \, x^{9} - 2064 \, x^{6} + 912 \, x^{3} - 64\right)}\right)}}{6 \, {\left(971 \, x^{9} - 960 \, x^{6} - 48 \, x^{3} + 64\right)}}\right) + 10 \cdot 6^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} x^{5} \log\left(\frac{18 \cdot 6^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} - 6^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{3} - 4\right)} - 36 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x}{x^{3} - 4}\right) - 5 \cdot 6^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} x^{5} \log\left(-\frac{12 \cdot 6^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(5 \, x^{4} - 2 \, x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} - 6^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(109 \, x^{6} - 116 \, x^{3} + 16\right)} - 18 \, {\left(11 \, x^{5} - 8 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x^{6} - 8 \, x^{3} + 16}\right) + 40 \cdot 4^{\frac{1}{6}} \sqrt{3} x^{5} \arctan\left(\frac{4^{\frac{1}{6}} {\left(12 \cdot 4^{\frac{2}{3}} \sqrt{3} {\left(2 \, x^{7} - 5 \, x^{4} + 2 \, x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} \sqrt{3} {\left(91 \, x^{9} - 168 \, x^{6} + 84 \, x^{3} - 8\right)} + 12 \, \sqrt{3} {\left(19 \, x^{8} - 22 \, x^{5} + 4 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}\right)}}{6 \, {\left(53 \, x^{9} - 48 \, x^{6} - 12 \, x^{3} + 8\right)}}\right) + 20 \cdot 4^{\frac{2}{3}} x^{5} \log\left(\frac{6 \cdot 4^{\frac{1}{3}} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 4^{\frac{2}{3}} {\left(x^{3} - 2\right)} - 12 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x}{x^{3} - 2}\right) - 10 \cdot 4^{\frac{2}{3}} x^{5} \log\left(\frac{6 \cdot 4^{\frac{2}{3}} {\left(2 \, x^{4} - x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} {\left(19 \, x^{6} - 22 \, x^{3} + 4\right)} + 6 \, {\left(5 \, x^{5} - 4 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x^{6} - 4 \, x^{3} + 4}\right) + 36 \, {\left(13 \, x^{3} - 8\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{1440 \, x^{5}}"," ",0,"1/1440*(30*6^(1/6)*sqrt(2)*(-1)^(1/3)*x^5*arctan(1/6*6^(1/6)*(24*6^(2/3)*sqrt(2)*(-1)^(2/3)*(5*x^7 - 22*x^4 + 8*x)*(x^3 - 1)^(2/3) - 36*sqrt(2)*(-1)^(1/3)*(109*x^8 - 116*x^5 + 16*x^2)*(x^3 - 1)^(1/3) + 6^(1/3)*sqrt(2)*(1189*x^9 - 2064*x^6 + 912*x^3 - 64))/(971*x^9 - 960*x^6 - 48*x^3 + 64)) + 10*6^(2/3)*(-1)^(1/3)*x^5*log((18*6^(1/3)*(-1)^(2/3)*(x^3 - 1)^(1/3)*x^2 - 6^(2/3)*(-1)^(1/3)*(x^3 - 4) - 36*(x^3 - 1)^(2/3)*x)/(x^3 - 4)) - 5*6^(2/3)*(-1)^(1/3)*x^5*log(-(12*6^(2/3)*(-1)^(1/3)*(5*x^4 - 2*x)*(x^3 - 1)^(2/3) - 6^(1/3)*(-1)^(2/3)*(109*x^6 - 116*x^3 + 16) - 18*(11*x^5 - 8*x^2)*(x^3 - 1)^(1/3))/(x^6 - 8*x^3 + 16)) + 40*4^(1/6)*sqrt(3)*x^5*arctan(1/6*4^(1/6)*(12*4^(2/3)*sqrt(3)*(2*x^7 - 5*x^4 + 2*x)*(x^3 - 1)^(2/3) + 4^(1/3)*sqrt(3)*(91*x^9 - 168*x^6 + 84*x^3 - 8) + 12*sqrt(3)*(19*x^8 - 22*x^5 + 4*x^2)*(x^3 - 1)^(1/3))/(53*x^9 - 48*x^6 - 12*x^3 + 8)) + 20*4^(2/3)*x^5*log((6*4^(1/3)*(x^3 - 1)^(1/3)*x^2 + 4^(2/3)*(x^3 - 2) - 12*(x^3 - 1)^(2/3)*x)/(x^3 - 2)) - 10*4^(2/3)*x^5*log((6*4^(2/3)*(2*x^4 - x)*(x^3 - 1)^(2/3) + 4^(1/3)*(19*x^6 - 22*x^3 + 4) + 6*(5*x^5 - 4*x^2)*(x^3 - 1)^(1/3))/(x^6 - 4*x^3 + 4)) + 36*(13*x^3 - 8)*(x^3 - 1)^(2/3))/x^5","B",0
2775,-1,0,0,0.000000," ","integrate((c+(a*x+(a^2*x^2-b)^(1/2))^(3/4))^(4/3)/(a^2*x^2-b)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2776,-1,0,0,0.000000," ","integrate(1/(a*x-b)/(a^3*x^3+b^3)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2777,-1,0,0,0.000000," ","integrate((a*x^2+b*x*(-a/b^2+a^2*x^2/b^2)^(1/2))^(1/3)/(-a/b^2+a^2*x^2/b^2)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2778,1,2152,0,1.169335," ","integrate((x^2+1)^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 2\right)} \arctan\left(\frac{1}{8} \, \sqrt{2 \, {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + \sqrt{2}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 2} + 4} {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} + \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)}\right) - \frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 2\right)} \arctan\left(\frac{1}{8} \, \sqrt{-2 \, {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + \sqrt{2}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 2} + 4} {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} - \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)}\right) + \frac{1}{2} \cdot 4^{\frac{1}{4}} 2^{\frac{7}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{2} - 1} \arctan\left(\frac{1}{8} \cdot 4^{\frac{3}{4}} 2^{\frac{3}{8}} \sqrt{2 \cdot 4^{\frac{1}{4}} 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2^{\frac{1}{4}}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \cdot 2^{\frac{1}{4}} + 4} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} - \frac{1}{4} \cdot 4^{\frac{3}{4}} 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} - {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right) + \frac{1}{2} \cdot 4^{\frac{1}{4}} 2^{\frac{7}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{2} - 1} \arctan\left(\frac{1}{8} \cdot 4^{\frac{3}{4}} 2^{\frac{3}{8}} \sqrt{-2 \cdot 4^{\frac{1}{4}} 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2^{\frac{1}{4}}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \cdot 2^{\frac{1}{4}} + 4} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} - \frac{1}{4} \cdot 4^{\frac{3}{4}} 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right) - \frac{1}{8} \cdot 4^{\frac{1}{4}} 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \log\left(2 \cdot 4^{\frac{1}{4}} 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2^{\frac{1}{4}}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \cdot 2^{\frac{1}{4}} + 4\right) + \frac{1}{8} \cdot 4^{\frac{1}{4}} 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \log\left(-2 \cdot 4^{\frac{1}{4}} 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2^{\frac{1}{4}}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \cdot 2^{\frac{1}{4}} + 4\right) - \frac{1}{8} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \log\left(2 \, {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + \sqrt{2}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 2} + 4\right) + \frac{1}{8} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \log\left(-2 \, {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + \sqrt{2}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 2} + 4\right) - 2 \, \sqrt{2 \, \sqrt{\sqrt{2} + 1} - 2} \arctan\left(\frac{1}{2} \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{\sqrt{2} + 1}} \sqrt{2 \, \sqrt{\sqrt{2} + 1} - 2} {\left(\sqrt{\sqrt{2} + 1} + 1\right)} - \frac{1}{2} \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} \sqrt{2 \, \sqrt{\sqrt{2} + 1} - 2} {\left(\sqrt{\sqrt{2} + 1} + 1\right)}\right) + \frac{1}{2} \, \sqrt{2 \, \sqrt{\sqrt{2} + 1} + 2} \log\left(\sqrt{2} \sqrt{2 \, \sqrt{\sqrt{2} + 1} + 2} + 2 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{2 \, \sqrt{\sqrt{2} + 1} + 2} \log\left(-\sqrt{2} \sqrt{2 \, \sqrt{\sqrt{2} + 1} + 2} + 2 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{2 \, \sqrt{\sqrt{2} - 1} + 2} \log\left(\sqrt{2} \sqrt{2 \, \sqrt{\sqrt{2} - 1} + 2} + 2 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{2 \, \sqrt{\sqrt{2} - 1} + 2} \log\left(-\sqrt{2} \sqrt{2 \, \sqrt{\sqrt{2} - 1} + 2} + 2 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} - 1} + 2} \log\left(\sqrt{2} \sqrt{-2 \, \sqrt{\sqrt{2} - 1} + 2} + 2 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} - 1} + 2} \log\left(-\sqrt{2} \sqrt{-2 \, \sqrt{\sqrt{2} - 1} + 2} + 2 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 4 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) - 2 \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right)"," ",0,"-1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(1/4)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 2)*arctan(1/8*sqrt(2*(sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + sqrt(2))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 2) + 4)*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(3/4) - 1/4*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) + sqrt(sqrt(2) + 1)*(sqrt(2) - 1)) - 1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(1/4)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 2)*arctan(1/8*sqrt(-2*(sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + sqrt(2))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 2) + 4)*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(3/4) - 1/4*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) - sqrt(sqrt(2) + 1)*(sqrt(2) - 1)) + 1/2*4^(1/4)*2^(7/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(2) - 1)*arctan(1/8*4^(3/4)*2^(3/8)*sqrt(2*4^(1/4)*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(sqrt(2) + 2^(1/4))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*2^(1/4) + 4)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4) - 1/4*4^(3/4)*2^(3/8)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) - (sqrt(2) + 1)*sqrt(sqrt(2) - 1)) + 1/2*4^(1/4)*2^(7/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(2) - 1)*arctan(1/8*4^(3/4)*2^(3/8)*sqrt(-2*4^(1/4)*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(sqrt(2) + 2^(1/4))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*2^(1/4) + 4)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4) - 1/4*4^(3/4)*2^(3/8)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1)) - 1/8*4^(1/4)*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*log(2*4^(1/4)*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(sqrt(2) + 2^(1/4))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*2^(1/4) + 4) + 1/8*4^(1/4)*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*log(-2*4^(1/4)*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(sqrt(2) + 2^(1/4))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*2^(1/4) + 4) - 1/8*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(4*sqrt(2) + 8)^(1/4)*log(2*(sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + sqrt(2))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 2) + 4) + 1/8*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(4*sqrt(2) + 8)^(1/4)*log(-2*(sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + sqrt(2))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 2) + 4) - 2*sqrt(2*sqrt(sqrt(2) + 1) - 2)*arctan(1/2*sqrt(sqrt(x + sqrt(x^2 + 1)) + sqrt(sqrt(2) + 1))*sqrt(2*sqrt(sqrt(2) + 1) - 2)*(sqrt(sqrt(2) + 1) + 1) - 1/2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)*sqrt(2*sqrt(sqrt(2) + 1) - 2)*(sqrt(sqrt(2) + 1) + 1)) + 1/2*sqrt(2*sqrt(sqrt(2) + 1) + 2)*log(sqrt(2)*sqrt(2*sqrt(sqrt(2) + 1) + 2) + 2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(2*sqrt(sqrt(2) + 1) + 2)*log(-sqrt(2)*sqrt(2*sqrt(sqrt(2) + 1) + 2) + 2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(2*sqrt(sqrt(2) - 1) + 2)*log(sqrt(2)*sqrt(2*sqrt(sqrt(2) - 1) + 2) + 2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(2*sqrt(sqrt(2) - 1) + 2)*log(-sqrt(2)*sqrt(2*sqrt(sqrt(2) - 1) + 2) + 2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-2*sqrt(sqrt(2) - 1) + 2)*log(sqrt(2)*sqrt(-2*sqrt(sqrt(2) - 1) + 2) + 2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-2*sqrt(sqrt(2) - 1) + 2)*log(-sqrt(2)*sqrt(-2*sqrt(sqrt(2) - 1) + 2) + 2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 4*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) - 2*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1)","B",0
2779,1,2152,0,1.442595," ","integrate((x^2+1)^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 2\right)} \arctan\left(\frac{1}{8} \, \sqrt{2 \, {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + \sqrt{2}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 2} + 4} {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} + \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)}\right) - \frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 2\right)} \arctan\left(\frac{1}{8} \, \sqrt{-2 \, {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + \sqrt{2}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 2} + 4} {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} - \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)}\right) + \frac{1}{2} \cdot 4^{\frac{1}{4}} 2^{\frac{7}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{2} - 1} \arctan\left(\frac{1}{8} \cdot 4^{\frac{3}{4}} 2^{\frac{3}{8}} \sqrt{2 \cdot 4^{\frac{1}{4}} 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2^{\frac{1}{4}}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \cdot 2^{\frac{1}{4}} + 4} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} - \frac{1}{4} \cdot 4^{\frac{3}{4}} 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} - {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right) + \frac{1}{2} \cdot 4^{\frac{1}{4}} 2^{\frac{7}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{2} - 1} \arctan\left(\frac{1}{8} \cdot 4^{\frac{3}{4}} 2^{\frac{3}{8}} \sqrt{-2 \cdot 4^{\frac{1}{4}} 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2^{\frac{1}{4}}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \cdot 2^{\frac{1}{4}} + 4} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} - \frac{1}{4} \cdot 4^{\frac{3}{4}} 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right) - \frac{1}{8} \cdot 4^{\frac{1}{4}} 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \log\left(2 \cdot 4^{\frac{1}{4}} 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2^{\frac{1}{4}}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \cdot 2^{\frac{1}{4}} + 4\right) + \frac{1}{8} \cdot 4^{\frac{1}{4}} 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \log\left(-2 \cdot 4^{\frac{1}{4}} 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2^{\frac{1}{4}}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \cdot 2^{\frac{1}{4}} + 4\right) - \frac{1}{8} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \log\left(2 \, {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + \sqrt{2}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 2} + 4\right) + \frac{1}{8} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \log\left(-2 \, {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + \sqrt{2}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 2} + 4\right) - 2 \, \sqrt{2 \, \sqrt{\sqrt{2} + 1} - 2} \arctan\left(\frac{1}{2} \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{\sqrt{2} + 1}} \sqrt{2 \, \sqrt{\sqrt{2} + 1} - 2} {\left(\sqrt{\sqrt{2} + 1} + 1\right)} - \frac{1}{2} \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} \sqrt{2 \, \sqrt{\sqrt{2} + 1} - 2} {\left(\sqrt{\sqrt{2} + 1} + 1\right)}\right) + \frac{1}{2} \, \sqrt{2 \, \sqrt{\sqrt{2} + 1} + 2} \log\left(\sqrt{2} \sqrt{2 \, \sqrt{\sqrt{2} + 1} + 2} + 2 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{2 \, \sqrt{\sqrt{2} + 1} + 2} \log\left(-\sqrt{2} \sqrt{2 \, \sqrt{\sqrt{2} + 1} + 2} + 2 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{2 \, \sqrt{\sqrt{2} - 1} + 2} \log\left(\sqrt{2} \sqrt{2 \, \sqrt{\sqrt{2} - 1} + 2} + 2 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{2 \, \sqrt{\sqrt{2} - 1} + 2} \log\left(-\sqrt{2} \sqrt{2 \, \sqrt{\sqrt{2} - 1} + 2} + 2 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} - 1} + 2} \log\left(\sqrt{2} \sqrt{-2 \, \sqrt{\sqrt{2} - 1} + 2} + 2 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} - 1} + 2} \log\left(-\sqrt{2} \sqrt{-2 \, \sqrt{\sqrt{2} - 1} + 2} + 2 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 4 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) - 2 \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right)"," ",0,"-1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(1/4)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 2)*arctan(1/8*sqrt(2*(sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + sqrt(2))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 2) + 4)*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(3/4) - 1/4*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) + sqrt(sqrt(2) + 1)*(sqrt(2) - 1)) - 1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(1/4)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 2)*arctan(1/8*sqrt(-2*(sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + sqrt(2))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 2) + 4)*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(3/4) - 1/4*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) - sqrt(sqrt(2) + 1)*(sqrt(2) - 1)) + 1/2*4^(1/4)*2^(7/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(2) - 1)*arctan(1/8*4^(3/4)*2^(3/8)*sqrt(2*4^(1/4)*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(sqrt(2) + 2^(1/4))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*2^(1/4) + 4)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4) - 1/4*4^(3/4)*2^(3/8)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) - (sqrt(2) + 1)*sqrt(sqrt(2) - 1)) + 1/2*4^(1/4)*2^(7/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(2) - 1)*arctan(1/8*4^(3/4)*2^(3/8)*sqrt(-2*4^(1/4)*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(sqrt(2) + 2^(1/4))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*2^(1/4) + 4)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4) - 1/4*4^(3/4)*2^(3/8)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1)) - 1/8*4^(1/4)*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*log(2*4^(1/4)*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(sqrt(2) + 2^(1/4))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*2^(1/4) + 4) + 1/8*4^(1/4)*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*log(-2*4^(1/4)*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(sqrt(2) + 2^(1/4))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*2^(1/4) + 4) - 1/8*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(4*sqrt(2) + 8)^(1/4)*log(2*(sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + sqrt(2))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 2) + 4) + 1/8*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(4*sqrt(2) + 8)^(1/4)*log(-2*(sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + sqrt(2))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 2) + 4) - 2*sqrt(2*sqrt(sqrt(2) + 1) - 2)*arctan(1/2*sqrt(sqrt(x + sqrt(x^2 + 1)) + sqrt(sqrt(2) + 1))*sqrt(2*sqrt(sqrt(2) + 1) - 2)*(sqrt(sqrt(2) + 1) + 1) - 1/2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)*sqrt(2*sqrt(sqrt(2) + 1) - 2)*(sqrt(sqrt(2) + 1) + 1)) + 1/2*sqrt(2*sqrt(sqrt(2) + 1) + 2)*log(sqrt(2)*sqrt(2*sqrt(sqrt(2) + 1) + 2) + 2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(2*sqrt(sqrt(2) + 1) + 2)*log(-sqrt(2)*sqrt(2*sqrt(sqrt(2) + 1) + 2) + 2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(2*sqrt(sqrt(2) - 1) + 2)*log(sqrt(2)*sqrt(2*sqrt(sqrt(2) - 1) + 2) + 2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(2*sqrt(sqrt(2) - 1) + 2)*log(-sqrt(2)*sqrt(2*sqrt(sqrt(2) - 1) + 2) + 2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-2*sqrt(sqrt(2) - 1) + 2)*log(sqrt(2)*sqrt(-2*sqrt(sqrt(2) - 1) + 2) + 2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-2*sqrt(sqrt(2) - 1) + 2)*log(-sqrt(2)*sqrt(-2*sqrt(sqrt(2) - 1) + 2) + 2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 4*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) - 2*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1)","B",0
2780,1,715,0,0.528636," ","integrate((-b+x)/((-a+x)*(-b+x)^2)^(2/3)/(b-a*d+(-1+d)*x),x, algorithm=""fricas"")","\left[-\frac{\sqrt{3} d \sqrt{\frac{\left(-d\right)^{\frac{1}{3}}}{d}} \log\left(\frac{2 \, a b d + {\left(2 \, d + 1\right)} x^{2} + b^{2} - 2 \, {\left({\left(a + b\right)} d + b\right)} x + \sqrt{3} {\left({\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(b - x\right)} \left(-d\right)^{\frac{2}{3}} + 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d + {\left(b^{2} - 2 \, b x + x^{2}\right)} \left(-d\right)^{\frac{1}{3}}\right)} \sqrt{\frac{\left(-d\right)^{\frac{1}{3}}}{d}} - 3 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(b - x\right)} \left(-d\right)^{\frac{1}{3}}}{a b d + {\left(d - 1\right)} x^{2} - b^{2} - {\left({\left(a + b\right)} d - 2 \, b\right)} x}\right) + \left(-d\right)^{\frac{2}{3}} \log\left(-\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(b - x\right)} \left(-d\right)^{\frac{2}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d + {\left(b^{2} - 2 \, b x + x^{2}\right)} \left(-d\right)^{\frac{1}{3}}}{b^{2} - 2 \, b x + x^{2}}\right) - 2 \, \left(-d\right)^{\frac{2}{3}} \log\left(-\frac{{\left(b - x\right)} \left(-d\right)^{\frac{2}{3}} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} d}{b - x}\right)}{2 \, {\left(a - b\right)} d}, -\frac{2 \, \sqrt{3} d \sqrt{-\frac{\left(-d\right)^{\frac{1}{3}}}{d}} \arctan\left(-\frac{\sqrt{3} {\left({\left(b - x\right)} \left(-d\right)^{\frac{1}{3}} + 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} \left(-d\right)^{\frac{2}{3}}\right)} \sqrt{-\frac{\left(-d\right)^{\frac{1}{3}}}{d}}}{3 \, {\left(b - x\right)}}\right) + \left(-d\right)^{\frac{2}{3}} \log\left(-\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(b - x\right)} \left(-d\right)^{\frac{2}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d + {\left(b^{2} - 2 \, b x + x^{2}\right)} \left(-d\right)^{\frac{1}{3}}}{b^{2} - 2 \, b x + x^{2}}\right) - 2 \, \left(-d\right)^{\frac{2}{3}} \log\left(-\frac{{\left(b - x\right)} \left(-d\right)^{\frac{2}{3}} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} d}{b - x}\right)}{2 \, {\left(a - b\right)} d}\right]"," ",0,"[-1/2*(sqrt(3)*d*sqrt((-d)^(1/3)/d)*log((2*a*b*d + (2*d + 1)*x^2 + b^2 - 2*((a + b)*d + b)*x + sqrt(3)*((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(b - x)*(-d)^(2/3) + 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d + (b^2 - 2*b*x + x^2)*(-d)^(1/3))*sqrt((-d)^(1/3)/d) - 3*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(b - x)*(-d)^(1/3))/(a*b*d + (d - 1)*x^2 - b^2 - ((a + b)*d - 2*b)*x)) + (-d)^(2/3)*log(-((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(b - x)*(-d)^(2/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d + (b^2 - 2*b*x + x^2)*(-d)^(1/3))/(b^2 - 2*b*x + x^2)) - 2*(-d)^(2/3)*log(-((b - x)*(-d)^(2/3) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*d)/(b - x)))/((a - b)*d), -1/2*(2*sqrt(3)*d*sqrt(-(-d)^(1/3)/d)*arctan(-1/3*sqrt(3)*((b - x)*(-d)^(1/3) + 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(-d)^(2/3))*sqrt(-(-d)^(1/3)/d)/(b - x)) + (-d)^(2/3)*log(-((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(b - x)*(-d)^(2/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d + (b^2 - 2*b*x + x^2)*(-d)^(1/3))/(b^2 - 2*b*x + x^2)) - 2*(-d)^(2/3)*log(-((b - x)*(-d)^(2/3) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*d)/(b - x)))/((a - b)*d)]","A",0
2781,1,452,0,1.027606," ","integrate((b*p*x^3-a*q*x)/(p*x^4+q)^(1/2)/(b^2*c+d*q+2*a*b*c*x^2+(a^2*c+d*p)*x^4),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-c d} \log\left(\frac{{\left(a^{4} c^{2} - 6 \, a^{2} c d p + d^{2} p^{2}\right)} x^{8} + 4 \, {\left(a^{3} b c^{2} - 3 \, a b c d p\right)} x^{6} + b^{4} c^{2} - 6 \, b^{2} c d q + 2 \, {\left(3 \, a^{2} b^{2} c^{2} - 3 \, b^{2} c d p - {\left(3 \, a^{2} c d - d^{2} p\right)} q\right)} x^{4} + d^{2} q^{2} + 4 \, {\left(a b^{3} c^{2} - 3 \, a b c d q\right)} x^{2} + 4 \, {\left({\left(a^{3} c - a d p\right)} x^{6} + {\left(3 \, a^{2} b c - b d p\right)} x^{4} + b^{3} c - b d q + {\left(3 \, a b^{2} c - a d q\right)} x^{2}\right)} \sqrt{p x^{4} + q} \sqrt{-c d}}{{\left(a^{4} c^{2} + 2 \, a^{2} c d p + d^{2} p^{2}\right)} x^{8} + 4 \, {\left(a^{3} b c^{2} + a b c d p\right)} x^{6} + b^{4} c^{2} + 2 \, b^{2} c d q + 2 \, {\left(3 \, a^{2} b^{2} c^{2} + b^{2} c d p + {\left(a^{2} c d + d^{2} p\right)} q\right)} x^{4} + d^{2} q^{2} + 4 \, {\left(a b^{3} c^{2} + a b c d q\right)} x^{2}}\right)}{8 \, c d}, \frac{\sqrt{c d} \arctan\left(-\frac{{\left(2 \, a b c x^{2} + {\left(a^{2} c - d p\right)} x^{4} + b^{2} c - d q\right)} \sqrt{p x^{4} + q} \sqrt{c d}}{2 \, {\left(a c d p x^{6} + b c d p x^{4} + a c d q x^{2} + b c d q\right)}}\right)}{4 \, c d}\right]"," ",0,"[-1/8*sqrt(-c*d)*log(((a^4*c^2 - 6*a^2*c*d*p + d^2*p^2)*x^8 + 4*(a^3*b*c^2 - 3*a*b*c*d*p)*x^6 + b^4*c^2 - 6*b^2*c*d*q + 2*(3*a^2*b^2*c^2 - 3*b^2*c*d*p - (3*a^2*c*d - d^2*p)*q)*x^4 + d^2*q^2 + 4*(a*b^3*c^2 - 3*a*b*c*d*q)*x^2 + 4*((a^3*c - a*d*p)*x^6 + (3*a^2*b*c - b*d*p)*x^4 + b^3*c - b*d*q + (3*a*b^2*c - a*d*q)*x^2)*sqrt(p*x^4 + q)*sqrt(-c*d))/((a^4*c^2 + 2*a^2*c*d*p + d^2*p^2)*x^8 + 4*(a^3*b*c^2 + a*b*c*d*p)*x^6 + b^4*c^2 + 2*b^2*c*d*q + 2*(3*a^2*b^2*c^2 + b^2*c*d*p + (a^2*c*d + d^2*p)*q)*x^4 + d^2*q^2 + 4*(a*b^3*c^2 + a*b*c*d*q)*x^2))/(c*d), 1/4*sqrt(c*d)*arctan(-1/2*(2*a*b*c*x^2 + (a^2*c - d*p)*x^4 + b^2*c - d*q)*sqrt(p*x^4 + q)*sqrt(c*d)/(a*c*d*p*x^6 + b*c*d*p*x^4 + a*c*d*q*x^2 + b*c*d*q))/(c*d)]","B",0
2782,-1,0,0,0.000000," ","integrate((a*x+b)^2*(a*p*x^3+3*b*p*x^2-2*a*q)/(p*x^3+q)^(1/2)/(b^4*c+d*q^2+4*a*b^3*c*x+6*a^2*b^2*c*x^2+(4*a^3*b*c+2*d*p*q)*x^3+a^4*c*x^4+d*p^2*x^6),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2783,1,6469,0,2.159390," ","integrate((x^2+1)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{2} {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 14 \, \sqrt{2} + 25} - \frac{7}{2} \, \sqrt{2} - 4} \log\left(\frac{1}{4} \, {\left({\left(6 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)} - 721 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - 721 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} - 3 \, {\left(2 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} - 64 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)} + 2597 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} + 8 \, {\left({\left(12 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 42 \, \sqrt{2} - 673\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} + 1442 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 5047 \, \sqrt{2} - 9513\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 14 \, \sqrt{2} + 25} + 7791 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)} + 32760 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 14 \, \sqrt{2} + 25} - \frac{7}{2} \, \sqrt{2} - 4} + 32935 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 14 \, \sqrt{2} + 25} - \frac{7}{2} \, \sqrt{2} - 4} \log\left(-\frac{1}{4} \, {\left({\left(6 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)} - 721 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - 721 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} - 3 \, {\left(2 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} - 64 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)} + 2597 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} + 8 \, {\left({\left(12 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 42 \, \sqrt{2} - 673\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} + 1442 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 5047 \, \sqrt{2} - 9513\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 14 \, \sqrt{2} + 25} + 7791 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)} + 32760 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 14 \, \sqrt{2} + 25} - \frac{7}{2} \, \sqrt{2} - 4} + 32935 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 14 \, \sqrt{2} + 25} - \frac{7}{2} \, \sqrt{2} - 4} \log\left(\frac{1}{4} \, {\left({\left(6 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)} - 721 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - 721 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} - 3 \, {\left(2 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} - 64 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)} + 2597 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} - 8 \, {\left({\left(12 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 42 \, \sqrt{2} - 673\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} + 1442 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 5047 \, \sqrt{2} - 9513\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 14 \, \sqrt{2} + 25} + 7791 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)} + 32760 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 14 \, \sqrt{2} + 25} - \frac{7}{2} \, \sqrt{2} - 4} + 32935 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 14 \, \sqrt{2} + 25} - \frac{7}{2} \, \sqrt{2} - 4} \log\left(-\frac{1}{4} \, {\left({\left(6 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)} - 721 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - 721 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} - 3 \, {\left(2 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} - 64 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)} + 2597 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} - 8 \, {\left({\left(12 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 42 \, \sqrt{2} - 673\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} + 1442 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 5047 \, \sqrt{2} - 9513\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 14 \, \sqrt{2} + 25} + 7791 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)} + 32760 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 14 \, \sqrt{2} + 25} - \frac{7}{2} \, \sqrt{2} - 4} + 32935 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{8 \, \sqrt{2} \sqrt{-\frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} + 30\right)} - \frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{16} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{45}{32} \, \sqrt{2} + \frac{41}{16}} - 9 \, \sqrt{2} + 10} \log\left(\frac{1}{8} \, {\left(3 \, {\left(926 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 4167 \, \sqrt{2} - 7252\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} - {\left(1389 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} + 111120 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 500040 \, \sqrt{2} - 792454\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} - 7866 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} + 16 \, {\left(3 \, {\left(463 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)} - 2622 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} + 7866 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)} + 77786 \, \sqrt{2}\right)} \sqrt{-\frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} + 30\right)} - \frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{16} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{45}{32} \, \sqrt{2} + \frac{41}{16}} - 473708 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 2131686 \, \sqrt{2} + 3047868\right)} \sqrt{8 \, \sqrt{2} \sqrt{-\frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} + 30\right)} - \frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{16} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{45}{32} \, \sqrt{2} + \frac{41}{16}} - 9 \, \sqrt{2} + 10} + 298103 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{8 \, \sqrt{2} \sqrt{-\frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} + 30\right)} - \frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{16} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{45}{32} \, \sqrt{2} + \frac{41}{16}} - 9 \, \sqrt{2} + 10} \log\left(-\frac{1}{8} \, {\left(3 \, {\left(926 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 4167 \, \sqrt{2} - 7252\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} - {\left(1389 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} + 111120 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 500040 \, \sqrt{2} - 792454\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} - 7866 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} + 16 \, {\left(3 \, {\left(463 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)} - 2622 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} + 7866 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)} + 77786 \, \sqrt{2}\right)} \sqrt{-\frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} + 30\right)} - \frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{16} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{45}{32} \, \sqrt{2} + \frac{41}{16}} - 473708 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 2131686 \, \sqrt{2} + 3047868\right)} \sqrt{8 \, \sqrt{2} \sqrt{-\frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} + 30\right)} - \frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{16} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{45}{32} \, \sqrt{2} + \frac{41}{16}} - 9 \, \sqrt{2} + 10} + 298103 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-2 \, \sqrt{2} \sqrt{-\frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} + 30\right)} - \frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{16} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{45}{32} \, \sqrt{2} + \frac{41}{16}} - \frac{9}{4} \, \sqrt{2} + \frac{5}{2}} \log\left(\frac{1}{4} \, {\left(3 \, {\left(926 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 4167 \, \sqrt{2} - 7252\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} - {\left(1389 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} + 111120 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 500040 \, \sqrt{2} - 792454\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} - 7866 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - 16 \, {\left(3 \, {\left(463 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)} - 2622 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} + 7866 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)} + 77786 \, \sqrt{2}\right)} \sqrt{-\frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} + 30\right)} - \frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{16} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{45}{32} \, \sqrt{2} + \frac{41}{16}} - 473708 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 2131686 \, \sqrt{2} + 3047868\right)} \sqrt{-2 \, \sqrt{2} \sqrt{-\frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} + 30\right)} - \frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{16} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{45}{32} \, \sqrt{2} + \frac{41}{16}} - \frac{9}{4} \, \sqrt{2} + \frac{5}{2}} + 298103 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-2 \, \sqrt{2} \sqrt{-\frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} + 30\right)} - \frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{16} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{45}{32} \, \sqrt{2} + \frac{41}{16}} - \frac{9}{4} \, \sqrt{2} + \frac{5}{2}} \log\left(-\frac{1}{4} \, {\left(3 \, {\left(926 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 4167 \, \sqrt{2} - 7252\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} - {\left(1389 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} + 111120 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 500040 \, \sqrt{2} - 792454\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} - 7866 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - 16 \, {\left(3 \, {\left(463 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)} - 2622 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} + 7866 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)} + 77786 \, \sqrt{2}\right)} \sqrt{-\frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} + 30\right)} - \frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{16} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{45}{32} \, \sqrt{2} + \frac{41}{16}} - 473708 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 2131686 \, \sqrt{2} + 3047868\right)} \sqrt{-2 \, \sqrt{2} \sqrt{-\frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} + 30\right)} - \frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{16} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{45}{32} \, \sqrt{2} + \frac{41}{16}} - \frac{9}{4} \, \sqrt{2} + \frac{5}{2}} + 298103 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10} \log\left(\frac{1}{4} \, {\left(3 \, {\left(926 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 4167 \, \sqrt{2} - 7252\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + 1389 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{3} - {\left(1389 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} + 111120 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 500040 \, \sqrt{2} - 792454\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} + 55560 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} + 755616 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 3400272 \, \sqrt{2} - 4701576\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10} + 298103 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10} \log\left(-\frac{1}{4} \, {\left(3 \, {\left(926 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 4167 \, \sqrt{2} - 7252\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + 1389 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{3} - {\left(1389 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} + 111120 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 500040 \, \sqrt{2} - 792454\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} + 55560 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} + 755616 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 3400272 \, \sqrt{2} - 4701576\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10} + 298103 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8} \log\left(\frac{1}{2} \, {\left({\left(12 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 42 \, \sqrt{2} - 673\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} + 6 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{3} - 3 \, {\left(2 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} - 128 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 448 \, \sqrt{2} + 2085\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} - 192 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + 2208 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7728 \, \sqrt{2} + 104284\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8} + 32935 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8} \log\left(-\frac{1}{2} \, {\left({\left(12 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 42 \, \sqrt{2} - 673\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} + 6 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{3} - 3 \, {\left(2 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} - 128 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 448 \, \sqrt{2} + 2085\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} - 192 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + 2208 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7728 \, \sqrt{2} + 104284\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8} + 32935 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{9}{256} \, \sqrt{2} + \frac{5}{128}} \log\left(4 \, {\left(1389 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{3} + 63426 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} + 1229324 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 5531958 \, \sqrt{2} - 8578948\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{9}{256} \, \sqrt{2} + \frac{5}{128}} + 298103 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{9}{256} \, \sqrt{2} + \frac{5}{128}} \log\left(-4 \, {\left(1389 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{3} + 63426 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} + 1229324 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 5531958 \, \sqrt{2} - 8578948\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{9}{256} \, \sqrt{2} + \frac{5}{128}} + 298103 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{7}{256} \, \sqrt{2} - \frac{1}{32}} \log\left(8 \, {\left(6 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{3} + 529 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} - 13374 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 46809 \, \sqrt{2} - 141364\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{7}{256} \, \sqrt{2} - \frac{1}{32}} + 32935 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{7}{256} \, \sqrt{2} - \frac{1}{32}} \log\left(-8 \, {\left(6 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{3} + 529 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} - 13374 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 46809 \, \sqrt{2} - 141364\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{7}{256} \, \sqrt{2} - \frac{1}{32}} + 32935 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 16 \, {\left(x^{2} - \sqrt{x^{2} + 1} x\right)} \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{16 \, {\left(x^{2} - 1\right)}}"," ",0,"-1/16*(sqrt(2)*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(sqrt(2) + 1) - 14*sqrt(2) + 25) - 7/2*sqrt(2) - 4)*log(1/4*((6*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8) - 721*sqrt(2))*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 721*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 - 3*(2*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 - 64*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8) + 2597*sqrt(2))*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8) + 8*((12*sqrt(1/2)*sqrt(sqrt(2) + 1) - 42*sqrt(2) - 673)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8) + 1442*sqrt(1/2)*sqrt(sqrt(2) + 1) - 5047*sqrt(2) - 9513)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(sqrt(2) + 1) - 14*sqrt(2) + 25) + 7791*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8) + 32760*sqrt(2))*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(sqrt(2) + 1) - 14*sqrt(2) + 25) - 7/2*sqrt(2) - 4) + 32935*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(2)*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(sqrt(2) + 1) - 14*sqrt(2) + 25) - 7/2*sqrt(2) - 4)*log(-1/4*((6*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8) - 721*sqrt(2))*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 721*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 - 3*(2*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 - 64*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8) + 2597*sqrt(2))*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8) + 8*((12*sqrt(1/2)*sqrt(sqrt(2) + 1) - 42*sqrt(2) - 673)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8) + 1442*sqrt(1/2)*sqrt(sqrt(2) + 1) - 5047*sqrt(2) - 9513)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(sqrt(2) + 1) - 14*sqrt(2) + 25) + 7791*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8) + 32760*sqrt(2))*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(sqrt(2) + 1) - 14*sqrt(2) + 25) - 7/2*sqrt(2) - 4) + 32935*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(2)*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(sqrt(2) + 1) - 14*sqrt(2) + 25) - 7/2*sqrt(2) - 4)*log(1/4*((6*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8) - 721*sqrt(2))*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 721*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 - 3*(2*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 - 64*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8) + 2597*sqrt(2))*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8) - 8*((12*sqrt(1/2)*sqrt(sqrt(2) + 1) - 42*sqrt(2) - 673)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8) + 1442*sqrt(1/2)*sqrt(sqrt(2) + 1) - 5047*sqrt(2) - 9513)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(sqrt(2) + 1) - 14*sqrt(2) + 25) + 7791*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8) + 32760*sqrt(2))*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(sqrt(2) + 1) - 14*sqrt(2) + 25) - 7/2*sqrt(2) - 4) + 32935*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(2)*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(sqrt(2) + 1) - 14*sqrt(2) + 25) - 7/2*sqrt(2) - 4)*log(-1/4*((6*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8) - 721*sqrt(2))*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 721*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 - 3*(2*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 - 64*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8) + 2597*sqrt(2))*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8) - 8*((12*sqrt(1/2)*sqrt(sqrt(2) + 1) - 42*sqrt(2) - 673)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8) + 1442*sqrt(1/2)*sqrt(sqrt(2) + 1) - 5047*sqrt(2) - 9513)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(sqrt(2) + 1) - 14*sqrt(2) + 25) + 7791*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8) + 32760*sqrt(2))*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(sqrt(2) + 1) - 14*sqrt(2) + 25) - 7/2*sqrt(2) - 4) + 32935*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(8*sqrt(2)*sqrt(-3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1/256*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) + 30) - 3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 5/16*sqrt(1/2)*sqrt(sqrt(2) + 1) + 45/32*sqrt(2) + 41/16) - 9*sqrt(2) + 10)*log(1/8*(3*(926*sqrt(1/2)*sqrt(sqrt(2) + 1) - 4167*sqrt(2) - 7252)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 - (1389*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 + 111120*sqrt(1/2)*sqrt(sqrt(2) + 1) - 500040*sqrt(2) - 792454)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10) - 7866*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 + 16*(3*(463*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10) - 2622*sqrt(2))*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10) + 7866*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10) + 77786*sqrt(2))*sqrt(-3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1/256*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) + 30) - 3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 5/16*sqrt(1/2)*sqrt(sqrt(2) + 1) + 45/32*sqrt(2) + 41/16) - 473708*sqrt(1/2)*sqrt(sqrt(2) + 1) + 2131686*sqrt(2) + 3047868)*sqrt(8*sqrt(2)*sqrt(-3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1/256*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) + 30) - 3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 5/16*sqrt(1/2)*sqrt(sqrt(2) + 1) + 45/32*sqrt(2) + 41/16) - 9*sqrt(2) + 10) + 298103*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(8*sqrt(2)*sqrt(-3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1/256*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) + 30) - 3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 5/16*sqrt(1/2)*sqrt(sqrt(2) + 1) + 45/32*sqrt(2) + 41/16) - 9*sqrt(2) + 10)*log(-1/8*(3*(926*sqrt(1/2)*sqrt(sqrt(2) + 1) - 4167*sqrt(2) - 7252)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 - (1389*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 + 111120*sqrt(1/2)*sqrt(sqrt(2) + 1) - 500040*sqrt(2) - 792454)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10) - 7866*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 + 16*(3*(463*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10) - 2622*sqrt(2))*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10) + 7866*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10) + 77786*sqrt(2))*sqrt(-3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1/256*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) + 30) - 3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 5/16*sqrt(1/2)*sqrt(sqrt(2) + 1) + 45/32*sqrt(2) + 41/16) - 473708*sqrt(1/2)*sqrt(sqrt(2) + 1) + 2131686*sqrt(2) + 3047868)*sqrt(8*sqrt(2)*sqrt(-3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1/256*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) + 30) - 3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 5/16*sqrt(1/2)*sqrt(sqrt(2) + 1) + 45/32*sqrt(2) + 41/16) - 9*sqrt(2) + 10) + 298103*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-2*sqrt(2)*sqrt(-3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1/256*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) + 30) - 3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 5/16*sqrt(1/2)*sqrt(sqrt(2) + 1) + 45/32*sqrt(2) + 41/16) - 9/4*sqrt(2) + 5/2)*log(1/4*(3*(926*sqrt(1/2)*sqrt(sqrt(2) + 1) - 4167*sqrt(2) - 7252)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 - (1389*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 + 111120*sqrt(1/2)*sqrt(sqrt(2) + 1) - 500040*sqrt(2) - 792454)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10) - 7866*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 16*(3*(463*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10) - 2622*sqrt(2))*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10) + 7866*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10) + 77786*sqrt(2))*sqrt(-3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1/256*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) + 30) - 3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 5/16*sqrt(1/2)*sqrt(sqrt(2) + 1) + 45/32*sqrt(2) + 41/16) - 473708*sqrt(1/2)*sqrt(sqrt(2) + 1) + 2131686*sqrt(2) + 3047868)*sqrt(-2*sqrt(2)*sqrt(-3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1/256*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) + 30) - 3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 5/16*sqrt(1/2)*sqrt(sqrt(2) + 1) + 45/32*sqrt(2) + 41/16) - 9/4*sqrt(2) + 5/2) + 298103*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-2*sqrt(2)*sqrt(-3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1/256*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) + 30) - 3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 5/16*sqrt(1/2)*sqrt(sqrt(2) + 1) + 45/32*sqrt(2) + 41/16) - 9/4*sqrt(2) + 5/2)*log(-1/4*(3*(926*sqrt(1/2)*sqrt(sqrt(2) + 1) - 4167*sqrt(2) - 7252)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 - (1389*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 + 111120*sqrt(1/2)*sqrt(sqrt(2) + 1) - 500040*sqrt(2) - 792454)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10) - 7866*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 16*(3*(463*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10) - 2622*sqrt(2))*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10) + 7866*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10) + 77786*sqrt(2))*sqrt(-3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1/256*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) + 30) - 3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 5/16*sqrt(1/2)*sqrt(sqrt(2) + 1) + 45/32*sqrt(2) + 41/16) - 473708*sqrt(1/2)*sqrt(sqrt(2) + 1) + 2131686*sqrt(2) + 3047868)*sqrt(-2*sqrt(2)*sqrt(-3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1/256*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) + 30) - 3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 5/16*sqrt(1/2)*sqrt(sqrt(2) + 1) + 45/32*sqrt(2) + 41/16) - 9/4*sqrt(2) + 5/2) + 298103*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*log(1/4*(3*(926*sqrt(1/2)*sqrt(sqrt(2) + 1) - 4167*sqrt(2) - 7252)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1389*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^3 - (1389*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 + 111120*sqrt(1/2)*sqrt(sqrt(2) + 1) - 500040*sqrt(2) - 792454)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10) + 55560*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 + 755616*sqrt(1/2)*sqrt(sqrt(2) + 1) - 3400272*sqrt(2) - 4701576)*sqrt(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10) + 298103*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*log(-1/4*(3*(926*sqrt(1/2)*sqrt(sqrt(2) + 1) - 4167*sqrt(2) - 7252)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1389*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^3 - (1389*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 + 111120*sqrt(1/2)*sqrt(sqrt(2) + 1) - 500040*sqrt(2) - 792454)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10) + 55560*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 + 755616*sqrt(1/2)*sqrt(sqrt(2) + 1) - 3400272*sqrt(2) - 4701576)*sqrt(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10) + 298103*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*log(1/2*((12*sqrt(1/2)*sqrt(sqrt(2) + 1) - 42*sqrt(2) - 673)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 + 6*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^3 - 3*(2*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 - 128*sqrt(1/2)*sqrt(sqrt(2) + 1) + 448*sqrt(2) + 2085)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8) - 192*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 2208*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7728*sqrt(2) + 104284)*sqrt(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8) + 32935*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*log(-1/2*((12*sqrt(1/2)*sqrt(sqrt(2) + 1) - 42*sqrt(2) - 673)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 + 6*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^3 - 3*(2*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 - 128*sqrt(1/2)*sqrt(sqrt(2) + 1) + 448*sqrt(2) + 2085)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8) - 192*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 2208*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7728*sqrt(2) + 104284)*sqrt(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8) + 32935*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 16*(x^2 - 1)*sqrt(-1/128*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9/256*sqrt(2) + 5/128)*log(4*(1389*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^3 + 63426*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 + 1229324*sqrt(1/2)*sqrt(sqrt(2) + 1) - 5531958*sqrt(2) - 8578948)*sqrt(-1/128*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9/256*sqrt(2) + 5/128) + 298103*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 16*(x^2 - 1)*sqrt(-1/128*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9/256*sqrt(2) + 5/128)*log(-4*(1389*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^3 + 63426*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 + 1229324*sqrt(1/2)*sqrt(sqrt(2) + 1) - 5531958*sqrt(2) - 8578948)*sqrt(-1/128*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9/256*sqrt(2) + 5/128) + 298103*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 16*(x^2 - 1)*sqrt(-1/128*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7/256*sqrt(2) - 1/32)*log(8*(6*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^3 + 529*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 - 13374*sqrt(1/2)*sqrt(sqrt(2) + 1) + 46809*sqrt(2) - 141364)*sqrt(-1/128*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7/256*sqrt(2) - 1/32) + 32935*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 16*(x^2 - 1)*sqrt(-1/128*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7/256*sqrt(2) - 1/32)*log(-8*(6*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^3 + 529*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 - 13374*sqrt(1/2)*sqrt(sqrt(2) + 1) + 46809*sqrt(2) - 141364)*sqrt(-1/128*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7/256*sqrt(2) - 1/32) + 32935*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 16*(x^2 - sqrt(x^2 + 1)*x)*sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 - 1)","B",0
2784,1,6469,0,2.035065," ","integrate((x^2+1)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{2} {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 14 \, \sqrt{2} + 25} - \frac{7}{2} \, \sqrt{2} - 4} \log\left(\frac{1}{4} \, {\left({\left(6 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)} - 721 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - 721 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} - 3 \, {\left(2 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} - 64 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)} + 2597 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} + 8 \, {\left({\left(12 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 42 \, \sqrt{2} - 673\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} + 1442 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 5047 \, \sqrt{2} - 9513\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 14 \, \sqrt{2} + 25} + 7791 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)} + 32760 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 14 \, \sqrt{2} + 25} - \frac{7}{2} \, \sqrt{2} - 4} + 32935 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 14 \, \sqrt{2} + 25} - \frac{7}{2} \, \sqrt{2} - 4} \log\left(-\frac{1}{4} \, {\left({\left(6 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)} - 721 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - 721 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} - 3 \, {\left(2 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} - 64 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)} + 2597 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} + 8 \, {\left({\left(12 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 42 \, \sqrt{2} - 673\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} + 1442 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 5047 \, \sqrt{2} - 9513\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 14 \, \sqrt{2} + 25} + 7791 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)} + 32760 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 14 \, \sqrt{2} + 25} - \frac{7}{2} \, \sqrt{2} - 4} + 32935 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 14 \, \sqrt{2} + 25} - \frac{7}{2} \, \sqrt{2} - 4} \log\left(\frac{1}{4} \, {\left({\left(6 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)} - 721 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - 721 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} - 3 \, {\left(2 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} - 64 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)} + 2597 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} - 8 \, {\left({\left(12 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 42 \, \sqrt{2} - 673\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} + 1442 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 5047 \, \sqrt{2} - 9513\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 14 \, \sqrt{2} + 25} + 7791 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)} + 32760 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 14 \, \sqrt{2} + 25} - \frac{7}{2} \, \sqrt{2} - 4} + 32935 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 14 \, \sqrt{2} + 25} - \frac{7}{2} \, \sqrt{2} - 4} \log\left(-\frac{1}{4} \, {\left({\left(6 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)} - 721 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - 721 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} - 3 \, {\left(2 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} - 64 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)} + 2597 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} - 8 \, {\left({\left(12 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 42 \, \sqrt{2} - 673\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} + 1442 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 5047 \, \sqrt{2} - 9513\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 14 \, \sqrt{2} + 25} + 7791 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)} + 32760 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 14 \, \sqrt{2} + 25} - \frac{7}{2} \, \sqrt{2} - 4} + 32935 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{8 \, \sqrt{2} \sqrt{-\frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} + 30\right)} - \frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{16} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{45}{32} \, \sqrt{2} + \frac{41}{16}} - 9 \, \sqrt{2} + 10} \log\left(\frac{1}{8} \, {\left(3 \, {\left(926 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 4167 \, \sqrt{2} - 7252\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} - {\left(1389 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} + 111120 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 500040 \, \sqrt{2} - 792454\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} - 7866 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} + 16 \, {\left(3 \, {\left(463 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)} - 2622 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} + 7866 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)} + 77786 \, \sqrt{2}\right)} \sqrt{-\frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} + 30\right)} - \frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{16} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{45}{32} \, \sqrt{2} + \frac{41}{16}} - 473708 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 2131686 \, \sqrt{2} + 3047868\right)} \sqrt{8 \, \sqrt{2} \sqrt{-\frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} + 30\right)} - \frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{16} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{45}{32} \, \sqrt{2} + \frac{41}{16}} - 9 \, \sqrt{2} + 10} + 298103 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{8 \, \sqrt{2} \sqrt{-\frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} + 30\right)} - \frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{16} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{45}{32} \, \sqrt{2} + \frac{41}{16}} - 9 \, \sqrt{2} + 10} \log\left(-\frac{1}{8} \, {\left(3 \, {\left(926 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 4167 \, \sqrt{2} - 7252\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} - {\left(1389 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} + 111120 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 500040 \, \sqrt{2} - 792454\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} - 7866 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} + 16 \, {\left(3 \, {\left(463 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)} - 2622 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} + 7866 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)} + 77786 \, \sqrt{2}\right)} \sqrt{-\frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} + 30\right)} - \frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{16} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{45}{32} \, \sqrt{2} + \frac{41}{16}} - 473708 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 2131686 \, \sqrt{2} + 3047868\right)} \sqrt{8 \, \sqrt{2} \sqrt{-\frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} + 30\right)} - \frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{16} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{45}{32} \, \sqrt{2} + \frac{41}{16}} - 9 \, \sqrt{2} + 10} + 298103 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-2 \, \sqrt{2} \sqrt{-\frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} + 30\right)} - \frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{16} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{45}{32} \, \sqrt{2} + \frac{41}{16}} - \frac{9}{4} \, \sqrt{2} + \frac{5}{2}} \log\left(\frac{1}{4} \, {\left(3 \, {\left(926 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 4167 \, \sqrt{2} - 7252\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} - {\left(1389 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} + 111120 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 500040 \, \sqrt{2} - 792454\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} - 7866 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - 16 \, {\left(3 \, {\left(463 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)} - 2622 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} + 7866 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)} + 77786 \, \sqrt{2}\right)} \sqrt{-\frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} + 30\right)} - \frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{16} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{45}{32} \, \sqrt{2} + \frac{41}{16}} - 473708 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 2131686 \, \sqrt{2} + 3047868\right)} \sqrt{-2 \, \sqrt{2} \sqrt{-\frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} + 30\right)} - \frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{16} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{45}{32} \, \sqrt{2} + \frac{41}{16}} - \frac{9}{4} \, \sqrt{2} + \frac{5}{2}} + 298103 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-2 \, \sqrt{2} \sqrt{-\frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} + 30\right)} - \frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{16} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{45}{32} \, \sqrt{2} + \frac{41}{16}} - \frac{9}{4} \, \sqrt{2} + \frac{5}{2}} \log\left(-\frac{1}{4} \, {\left(3 \, {\left(926 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 4167 \, \sqrt{2} - 7252\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} - {\left(1389 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} + 111120 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 500040 \, \sqrt{2} - 792454\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} - 7866 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - 16 \, {\left(3 \, {\left(463 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)} - 2622 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} + 7866 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)} + 77786 \, \sqrt{2}\right)} \sqrt{-\frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} + 30\right)} - \frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{16} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{45}{32} \, \sqrt{2} + \frac{41}{16}} - 473708 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 2131686 \, \sqrt{2} + 3047868\right)} \sqrt{-2 \, \sqrt{2} \sqrt{-\frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} + 30\right)} - \frac{3}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{16} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{45}{32} \, \sqrt{2} + \frac{41}{16}} - \frac{9}{4} \, \sqrt{2} + \frac{5}{2}} + 298103 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10} \log\left(\frac{1}{4} \, {\left(3 \, {\left(926 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 4167 \, \sqrt{2} - 7252\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + 1389 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{3} - {\left(1389 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} + 111120 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 500040 \, \sqrt{2} - 792454\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} + 55560 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} + 755616 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 3400272 \, \sqrt{2} - 4701576\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10} + 298103 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10} \log\left(-\frac{1}{4} \, {\left(3 \, {\left(926 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 4167 \, \sqrt{2} - 7252\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)}^{2} + 1389 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{3} - {\left(1389 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} + 111120 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 500040 \, \sqrt{2} - 792454\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10\right)} + 55560 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} + 755616 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 3400272 \, \sqrt{2} - 4701576\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 9 \, \sqrt{2} + 10} + 298103 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8} \log\left(\frac{1}{2} \, {\left({\left(12 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 42 \, \sqrt{2} - 673\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} + 6 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{3} - 3 \, {\left(2 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} - 128 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 448 \, \sqrt{2} + 2085\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} - 192 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + 2208 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7728 \, \sqrt{2} + 104284\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8} + 32935 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8} \log\left(-\frac{1}{2} \, {\left({\left(12 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 42 \, \sqrt{2} - 673\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)}^{2} + 6 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{3} - 3 \, {\left(2 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} - 128 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 448 \, \sqrt{2} + 2085\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8\right)} - 192 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} + 2208 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7728 \, \sqrt{2} + 104284\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 7 \, \sqrt{2} - 8} + 32935 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{9}{256} \, \sqrt{2} + \frac{5}{128}} \log\left(4 \, {\left(1389 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{3} + 63426 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} + 1229324 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 5531958 \, \sqrt{2} - 8578948\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{9}{256} \, \sqrt{2} + \frac{5}{128}} + 298103 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{9}{256} \, \sqrt{2} + \frac{5}{128}} \log\left(-4 \, {\left(1389 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{3} + 63426 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 9 \, \sqrt{2} - 10\right)}^{2} + 1229324 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 5531958 \, \sqrt{2} - 8578948\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{9}{256} \, \sqrt{2} + \frac{5}{128}} + 298103 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{7}{256} \, \sqrt{2} - \frac{1}{32}} \log\left(8 \, {\left(6 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{3} + 529 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} - 13374 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 46809 \, \sqrt{2} - 141364\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{7}{256} \, \sqrt{2} - \frac{1}{32}} + 32935 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{7}{256} \, \sqrt{2} - \frac{1}{32}} \log\left(-8 \, {\left(6 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{3} + 529 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} - 7 \, \sqrt{2} + 8\right)}^{2} - 13374 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + 46809 \, \sqrt{2} - 141364\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 1} + \frac{7}{256} \, \sqrt{2} - \frac{1}{32}} + 32935 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 16 \, {\left(x^{2} - \sqrt{x^{2} + 1} x\right)} \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{16 \, {\left(x^{2} - 1\right)}}"," ",0,"-1/16*(sqrt(2)*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(sqrt(2) + 1) - 14*sqrt(2) + 25) - 7/2*sqrt(2) - 4)*log(1/4*((6*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8) - 721*sqrt(2))*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 721*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 - 3*(2*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 - 64*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8) + 2597*sqrt(2))*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8) + 8*((12*sqrt(1/2)*sqrt(sqrt(2) + 1) - 42*sqrt(2) - 673)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8) + 1442*sqrt(1/2)*sqrt(sqrt(2) + 1) - 5047*sqrt(2) - 9513)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(sqrt(2) + 1) - 14*sqrt(2) + 25) + 7791*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8) + 32760*sqrt(2))*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(sqrt(2) + 1) - 14*sqrt(2) + 25) - 7/2*sqrt(2) - 4) + 32935*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(2)*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(sqrt(2) + 1) - 14*sqrt(2) + 25) - 7/2*sqrt(2) - 4)*log(-1/4*((6*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8) - 721*sqrt(2))*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 721*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 - 3*(2*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 - 64*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8) + 2597*sqrt(2))*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8) + 8*((12*sqrt(1/2)*sqrt(sqrt(2) + 1) - 42*sqrt(2) - 673)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8) + 1442*sqrt(1/2)*sqrt(sqrt(2) + 1) - 5047*sqrt(2) - 9513)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(sqrt(2) + 1) - 14*sqrt(2) + 25) + 7791*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8) + 32760*sqrt(2))*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(sqrt(2) + 1) - 14*sqrt(2) + 25) - 7/2*sqrt(2) - 4) + 32935*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(2)*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(sqrt(2) + 1) - 14*sqrt(2) + 25) - 7/2*sqrt(2) - 4)*log(1/4*((6*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8) - 721*sqrt(2))*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 721*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 - 3*(2*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 - 64*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8) + 2597*sqrt(2))*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8) - 8*((12*sqrt(1/2)*sqrt(sqrt(2) + 1) - 42*sqrt(2) - 673)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8) + 1442*sqrt(1/2)*sqrt(sqrt(2) + 1) - 5047*sqrt(2) - 9513)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(sqrt(2) + 1) - 14*sqrt(2) + 25) + 7791*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8) + 32760*sqrt(2))*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(sqrt(2) + 1) - 14*sqrt(2) + 25) - 7/2*sqrt(2) - 4) + 32935*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(2)*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(sqrt(2) + 1) - 14*sqrt(2) + 25) - 7/2*sqrt(2) - 4)*log(-1/4*((6*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8) - 721*sqrt(2))*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 721*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 - 3*(2*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 - 64*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8) + 2597*sqrt(2))*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8) - 8*((12*sqrt(1/2)*sqrt(sqrt(2) + 1) - 42*sqrt(2) - 673)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8) + 1442*sqrt(1/2)*sqrt(sqrt(2) + 1) - 5047*sqrt(2) - 9513)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(sqrt(2) + 1) - 14*sqrt(2) + 25) + 7791*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8) + 32760*sqrt(2))*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(sqrt(2) + 1) - 14*sqrt(2) + 25) - 7/2*sqrt(2) - 4) + 32935*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(8*sqrt(2)*sqrt(-3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1/256*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) + 30) - 3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 5/16*sqrt(1/2)*sqrt(sqrt(2) + 1) + 45/32*sqrt(2) + 41/16) - 9*sqrt(2) + 10)*log(1/8*(3*(926*sqrt(1/2)*sqrt(sqrt(2) + 1) - 4167*sqrt(2) - 7252)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 - (1389*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 + 111120*sqrt(1/2)*sqrt(sqrt(2) + 1) - 500040*sqrt(2) - 792454)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10) - 7866*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 + 16*(3*(463*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10) - 2622*sqrt(2))*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10) + 7866*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10) + 77786*sqrt(2))*sqrt(-3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1/256*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) + 30) - 3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 5/16*sqrt(1/2)*sqrt(sqrt(2) + 1) + 45/32*sqrt(2) + 41/16) - 473708*sqrt(1/2)*sqrt(sqrt(2) + 1) + 2131686*sqrt(2) + 3047868)*sqrt(8*sqrt(2)*sqrt(-3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1/256*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) + 30) - 3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 5/16*sqrt(1/2)*sqrt(sqrt(2) + 1) + 45/32*sqrt(2) + 41/16) - 9*sqrt(2) + 10) + 298103*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(8*sqrt(2)*sqrt(-3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1/256*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) + 30) - 3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 5/16*sqrt(1/2)*sqrt(sqrt(2) + 1) + 45/32*sqrt(2) + 41/16) - 9*sqrt(2) + 10)*log(-1/8*(3*(926*sqrt(1/2)*sqrt(sqrt(2) + 1) - 4167*sqrt(2) - 7252)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 - (1389*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 + 111120*sqrt(1/2)*sqrt(sqrt(2) + 1) - 500040*sqrt(2) - 792454)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10) - 7866*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 + 16*(3*(463*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10) - 2622*sqrt(2))*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10) + 7866*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10) + 77786*sqrt(2))*sqrt(-3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1/256*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) + 30) - 3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 5/16*sqrt(1/2)*sqrt(sqrt(2) + 1) + 45/32*sqrt(2) + 41/16) - 473708*sqrt(1/2)*sqrt(sqrt(2) + 1) + 2131686*sqrt(2) + 3047868)*sqrt(8*sqrt(2)*sqrt(-3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1/256*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) + 30) - 3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 5/16*sqrt(1/2)*sqrt(sqrt(2) + 1) + 45/32*sqrt(2) + 41/16) - 9*sqrt(2) + 10) + 298103*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-2*sqrt(2)*sqrt(-3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1/256*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) + 30) - 3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 5/16*sqrt(1/2)*sqrt(sqrt(2) + 1) + 45/32*sqrt(2) + 41/16) - 9/4*sqrt(2) + 5/2)*log(1/4*(3*(926*sqrt(1/2)*sqrt(sqrt(2) + 1) - 4167*sqrt(2) - 7252)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 - (1389*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 + 111120*sqrt(1/2)*sqrt(sqrt(2) + 1) - 500040*sqrt(2) - 792454)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10) - 7866*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 16*(3*(463*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10) - 2622*sqrt(2))*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10) + 7866*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10) + 77786*sqrt(2))*sqrt(-3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1/256*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) + 30) - 3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 5/16*sqrt(1/2)*sqrt(sqrt(2) + 1) + 45/32*sqrt(2) + 41/16) - 473708*sqrt(1/2)*sqrt(sqrt(2) + 1) + 2131686*sqrt(2) + 3047868)*sqrt(-2*sqrt(2)*sqrt(-3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1/256*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) + 30) - 3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 5/16*sqrt(1/2)*sqrt(sqrt(2) + 1) + 45/32*sqrt(2) + 41/16) - 9/4*sqrt(2) + 5/2) + 298103*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-2*sqrt(2)*sqrt(-3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1/256*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) + 30) - 3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 5/16*sqrt(1/2)*sqrt(sqrt(2) + 1) + 45/32*sqrt(2) + 41/16) - 9/4*sqrt(2) + 5/2)*log(-1/4*(3*(926*sqrt(1/2)*sqrt(sqrt(2) + 1) - 4167*sqrt(2) - 7252)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 - (1389*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 + 111120*sqrt(1/2)*sqrt(sqrt(2) + 1) - 500040*sqrt(2) - 792454)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10) - 7866*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 16*(3*(463*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10) - 2622*sqrt(2))*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10) + 7866*sqrt(2)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10) + 77786*sqrt(2))*sqrt(-3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1/256*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) + 30) - 3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 5/16*sqrt(1/2)*sqrt(sqrt(2) + 1) + 45/32*sqrt(2) + 41/16) - 473708*sqrt(1/2)*sqrt(sqrt(2) + 1) + 2131686*sqrt(2) + 3047868)*sqrt(-2*sqrt(2)*sqrt(-3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1/256*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) + 30) - 3/512*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 - 5/16*sqrt(1/2)*sqrt(sqrt(2) + 1) + 45/32*sqrt(2) + 41/16) - 9/4*sqrt(2) + 5/2) + 298103*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*log(1/4*(3*(926*sqrt(1/2)*sqrt(sqrt(2) + 1) - 4167*sqrt(2) - 7252)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1389*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^3 - (1389*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 + 111120*sqrt(1/2)*sqrt(sqrt(2) + 1) - 500040*sqrt(2) - 792454)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10) + 55560*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 + 755616*sqrt(1/2)*sqrt(sqrt(2) + 1) - 3400272*sqrt(2) - 4701576)*sqrt(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10) + 298103*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)*log(-1/4*(3*(926*sqrt(1/2)*sqrt(sqrt(2) + 1) - 4167*sqrt(2) - 7252)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10)^2 + 1389*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^3 - (1389*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 + 111120*sqrt(1/2)*sqrt(sqrt(2) + 1) - 500040*sqrt(2) - 792454)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10) + 55560*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 + 755616*sqrt(1/2)*sqrt(sqrt(2) + 1) - 3400272*sqrt(2) - 4701576)*sqrt(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9*sqrt(2) + 10) + 298103*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*log(1/2*((12*sqrt(1/2)*sqrt(sqrt(2) + 1) - 42*sqrt(2) - 673)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 + 6*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^3 - 3*(2*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 - 128*sqrt(1/2)*sqrt(sqrt(2) + 1) + 448*sqrt(2) + 2085)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8) - 192*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 2208*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7728*sqrt(2) + 104284)*sqrt(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8) + 32935*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)*log(-1/2*((12*sqrt(1/2)*sqrt(sqrt(2) + 1) - 42*sqrt(2) - 673)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8)^2 + 6*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^3 - 3*(2*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 - 128*sqrt(1/2)*sqrt(sqrt(2) + 1) + 448*sqrt(2) + 2085)*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8) - 192*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 + 2208*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7728*sqrt(2) + 104284)*sqrt(2*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7*sqrt(2) - 8) + 32935*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 16*(x^2 - 1)*sqrt(-1/128*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9/256*sqrt(2) + 5/128)*log(4*(1389*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^3 + 63426*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 + 1229324*sqrt(1/2)*sqrt(sqrt(2) + 1) - 5531958*sqrt(2) - 8578948)*sqrt(-1/128*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9/256*sqrt(2) + 5/128) + 298103*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 16*(x^2 - 1)*sqrt(-1/128*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9/256*sqrt(2) + 5/128)*log(-4*(1389*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^3 + 63426*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 9*sqrt(2) - 10)^2 + 1229324*sqrt(1/2)*sqrt(sqrt(2) + 1) - 5531958*sqrt(2) - 8578948)*sqrt(-1/128*sqrt(1/2)*sqrt(sqrt(2) + 1) + 9/256*sqrt(2) + 5/128) + 298103*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 16*(x^2 - 1)*sqrt(-1/128*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7/256*sqrt(2) - 1/32)*log(8*(6*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^3 + 529*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 - 13374*sqrt(1/2)*sqrt(sqrt(2) + 1) + 46809*sqrt(2) - 141364)*sqrt(-1/128*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7/256*sqrt(2) - 1/32) + 32935*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 16*(x^2 - 1)*sqrt(-1/128*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7/256*sqrt(2) - 1/32)*log(-8*(6*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^3 + 529*(2*sqrt(1/2)*sqrt(sqrt(2) + 1) - 7*sqrt(2) + 8)^2 - 13374*sqrt(1/2)*sqrt(sqrt(2) + 1) + 46809*sqrt(2) - 141364)*sqrt(-1/128*sqrt(1/2)*sqrt(sqrt(2) + 1) + 7/256*sqrt(2) - 1/32) + 32935*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 16*(x^2 - sqrt(x^2 + 1)*x)*sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 - 1)","B",0
2785,1,2407,0,6.454849," ","integrate((k^4*x^4-1)/((1-x)*x*(-k^2*x+1))^(1/2)/(a*k^4*x^4+b*x^2+a),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{-\frac{k^{2} + {\left(a^{2} k^{4} + a^{2} + a b\right)} \sqrt{\frac{2 \, a k^{2} - b}{a^{5} k^{8} + a^{5} + 2 \, a^{4} b + a^{3} b^{2} + 2 \, {\left(a^{5} + a^{4} b\right)} k^{4}}} + 1}{a^{2} k^{4} + a^{2} + a b}} \log\left(\frac{a k^{4} x^{4} - 2 \, {\left(a k^{4} + a k^{2}\right)} x^{3} + {\left(4 \, a k^{2} - b\right)} x^{2} - 2 \, {\left(a k^{2} + a\right)} x + 2 \, \sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(a^{2} k^{2} + {\left(a^{2} k^{4} + a^{2} k^{2}\right)} x^{2} + a^{2} - {\left(2 \, a^{2} k^{2} - a b\right)} x - {\left(a^{4} k^{4} + a^{4} + a^{3} b + {\left(a^{4} k^{6} + {\left(a^{4} + a^{3} b\right)} k^{2}\right)} x^{2} - {\left(a^{4} k^{6} + a^{4} k^{4} + a^{4} + a^{3} b + {\left(a^{4} + a^{3} b\right)} k^{2}\right)} x\right)} \sqrt{\frac{2 \, a k^{2} - b}{a^{5} k^{8} + a^{5} + 2 \, a^{4} b + a^{3} b^{2} + 2 \, {\left(a^{5} + a^{4} b\right)} k^{4}}}\right)} \sqrt{-\frac{k^{2} + {\left(a^{2} k^{4} + a^{2} + a b\right)} \sqrt{\frac{2 \, a k^{2} - b}{a^{5} k^{8} + a^{5} + 2 \, a^{4} b + a^{3} b^{2} + 2 \, {\left(a^{5} + a^{4} b\right)} k^{4}}} + 1}{a^{2} k^{4} + a^{2} + a b}} + 2 \, {\left({\left(a^{3} k^{6} + {\left(a^{3} + a^{2} b\right)} k^{2}\right)} x^{3} - {\left(a^{3} k^{6} + a^{3} k^{4} + a^{3} + a^{2} b + {\left(a^{3} + a^{2} b\right)} k^{2}\right)} x^{2} + {\left(a^{3} k^{4} + a^{3} + a^{2} b\right)} x\right)} \sqrt{\frac{2 \, a k^{2} - b}{a^{5} k^{8} + a^{5} + 2 \, a^{4} b + a^{3} b^{2} + 2 \, {\left(a^{5} + a^{4} b\right)} k^{4}}} + a}{a k^{4} x^{4} + b x^{2} + a}\right) - \frac{1}{4} \, \sqrt{-\frac{k^{2} + {\left(a^{2} k^{4} + a^{2} + a b\right)} \sqrt{\frac{2 \, a k^{2} - b}{a^{5} k^{8} + a^{5} + 2 \, a^{4} b + a^{3} b^{2} + 2 \, {\left(a^{5} + a^{4} b\right)} k^{4}}} + 1}{a^{2} k^{4} + a^{2} + a b}} \log\left(\frac{a k^{4} x^{4} - 2 \, {\left(a k^{4} + a k^{2}\right)} x^{3} + {\left(4 \, a k^{2} - b\right)} x^{2} - 2 \, {\left(a k^{2} + a\right)} x - 2 \, \sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(a^{2} k^{2} + {\left(a^{2} k^{4} + a^{2} k^{2}\right)} x^{2} + a^{2} - {\left(2 \, a^{2} k^{2} - a b\right)} x - {\left(a^{4} k^{4} + a^{4} + a^{3} b + {\left(a^{4} k^{6} + {\left(a^{4} + a^{3} b\right)} k^{2}\right)} x^{2} - {\left(a^{4} k^{6} + a^{4} k^{4} + a^{4} + a^{3} b + {\left(a^{4} + a^{3} b\right)} k^{2}\right)} x\right)} \sqrt{\frac{2 \, a k^{2} - b}{a^{5} k^{8} + a^{5} + 2 \, a^{4} b + a^{3} b^{2} + 2 \, {\left(a^{5} + a^{4} b\right)} k^{4}}}\right)} \sqrt{-\frac{k^{2} + {\left(a^{2} k^{4} + a^{2} + a b\right)} \sqrt{\frac{2 \, a k^{2} - b}{a^{5} k^{8} + a^{5} + 2 \, a^{4} b + a^{3} b^{2} + 2 \, {\left(a^{5} + a^{4} b\right)} k^{4}}} + 1}{a^{2} k^{4} + a^{2} + a b}} + 2 \, {\left({\left(a^{3} k^{6} + {\left(a^{3} + a^{2} b\right)} k^{2}\right)} x^{3} - {\left(a^{3} k^{6} + a^{3} k^{4} + a^{3} + a^{2} b + {\left(a^{3} + a^{2} b\right)} k^{2}\right)} x^{2} + {\left(a^{3} k^{4} + a^{3} + a^{2} b\right)} x\right)} \sqrt{\frac{2 \, a k^{2} - b}{a^{5} k^{8} + a^{5} + 2 \, a^{4} b + a^{3} b^{2} + 2 \, {\left(a^{5} + a^{4} b\right)} k^{4}}} + a}{a k^{4} x^{4} + b x^{2} + a}\right) + \frac{1}{4} \, \sqrt{-\frac{k^{2} - {\left(a^{2} k^{4} + a^{2} + a b\right)} \sqrt{\frac{2 \, a k^{2} - b}{a^{5} k^{8} + a^{5} + 2 \, a^{4} b + a^{3} b^{2} + 2 \, {\left(a^{5} + a^{4} b\right)} k^{4}}} + 1}{a^{2} k^{4} + a^{2} + a b}} \log\left(\frac{a k^{4} x^{4} - 2 \, {\left(a k^{4} + a k^{2}\right)} x^{3} + {\left(4 \, a k^{2} - b\right)} x^{2} - 2 \, {\left(a k^{2} + a\right)} x + 2 \, \sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(a^{2} k^{2} + {\left(a^{2} k^{4} + a^{2} k^{2}\right)} x^{2} + a^{2} - {\left(2 \, a^{2} k^{2} - a b\right)} x + {\left(a^{4} k^{4} + a^{4} + a^{3} b + {\left(a^{4} k^{6} + {\left(a^{4} + a^{3} b\right)} k^{2}\right)} x^{2} - {\left(a^{4} k^{6} + a^{4} k^{4} + a^{4} + a^{3} b + {\left(a^{4} + a^{3} b\right)} k^{2}\right)} x\right)} \sqrt{\frac{2 \, a k^{2} - b}{a^{5} k^{8} + a^{5} + 2 \, a^{4} b + a^{3} b^{2} + 2 \, {\left(a^{5} + a^{4} b\right)} k^{4}}}\right)} \sqrt{-\frac{k^{2} - {\left(a^{2} k^{4} + a^{2} + a b\right)} \sqrt{\frac{2 \, a k^{2} - b}{a^{5} k^{8} + a^{5} + 2 \, a^{4} b + a^{3} b^{2} + 2 \, {\left(a^{5} + a^{4} b\right)} k^{4}}} + 1}{a^{2} k^{4} + a^{2} + a b}} - 2 \, {\left({\left(a^{3} k^{6} + {\left(a^{3} + a^{2} b\right)} k^{2}\right)} x^{3} - {\left(a^{3} k^{6} + a^{3} k^{4} + a^{3} + a^{2} b + {\left(a^{3} + a^{2} b\right)} k^{2}\right)} x^{2} + {\left(a^{3} k^{4} + a^{3} + a^{2} b\right)} x\right)} \sqrt{\frac{2 \, a k^{2} - b}{a^{5} k^{8} + a^{5} + 2 \, a^{4} b + a^{3} b^{2} + 2 \, {\left(a^{5} + a^{4} b\right)} k^{4}}} + a}{a k^{4} x^{4} + b x^{2} + a}\right) - \frac{1}{4} \, \sqrt{-\frac{k^{2} - {\left(a^{2} k^{4} + a^{2} + a b\right)} \sqrt{\frac{2 \, a k^{2} - b}{a^{5} k^{8} + a^{5} + 2 \, a^{4} b + a^{3} b^{2} + 2 \, {\left(a^{5} + a^{4} b\right)} k^{4}}} + 1}{a^{2} k^{4} + a^{2} + a b}} \log\left(\frac{a k^{4} x^{4} - 2 \, {\left(a k^{4} + a k^{2}\right)} x^{3} + {\left(4 \, a k^{2} - b\right)} x^{2} - 2 \, {\left(a k^{2} + a\right)} x - 2 \, \sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(a^{2} k^{2} + {\left(a^{2} k^{4} + a^{2} k^{2}\right)} x^{2} + a^{2} - {\left(2 \, a^{2} k^{2} - a b\right)} x + {\left(a^{4} k^{4} + a^{4} + a^{3} b + {\left(a^{4} k^{6} + {\left(a^{4} + a^{3} b\right)} k^{2}\right)} x^{2} - {\left(a^{4} k^{6} + a^{4} k^{4} + a^{4} + a^{3} b + {\left(a^{4} + a^{3} b\right)} k^{2}\right)} x\right)} \sqrt{\frac{2 \, a k^{2} - b}{a^{5} k^{8} + a^{5} + 2 \, a^{4} b + a^{3} b^{2} + 2 \, {\left(a^{5} + a^{4} b\right)} k^{4}}}\right)} \sqrt{-\frac{k^{2} - {\left(a^{2} k^{4} + a^{2} + a b\right)} \sqrt{\frac{2 \, a k^{2} - b}{a^{5} k^{8} + a^{5} + 2 \, a^{4} b + a^{3} b^{2} + 2 \, {\left(a^{5} + a^{4} b\right)} k^{4}}} + 1}{a^{2} k^{4} + a^{2} + a b}} - 2 \, {\left({\left(a^{3} k^{6} + {\left(a^{3} + a^{2} b\right)} k^{2}\right)} x^{3} - {\left(a^{3} k^{6} + a^{3} k^{4} + a^{3} + a^{2} b + {\left(a^{3} + a^{2} b\right)} k^{2}\right)} x^{2} + {\left(a^{3} k^{4} + a^{3} + a^{2} b\right)} x\right)} \sqrt{\frac{2 \, a k^{2} - b}{a^{5} k^{8} + a^{5} + 2 \, a^{4} b + a^{3} b^{2} + 2 \, {\left(a^{5} + a^{4} b\right)} k^{4}}} + a}{a k^{4} x^{4} + b x^{2} + a}\right)"," ",0,"1/4*sqrt(-(k^2 + (a^2*k^4 + a^2 + a*b)*sqrt((2*a*k^2 - b)/(a^5*k^8 + a^5 + 2*a^4*b + a^3*b^2 + 2*(a^5 + a^4*b)*k^4)) + 1)/(a^2*k^4 + a^2 + a*b))*log((a*k^4*x^4 - 2*(a*k^4 + a*k^2)*x^3 + (4*a*k^2 - b)*x^2 - 2*(a*k^2 + a)*x + 2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(a^2*k^2 + (a^2*k^4 + a^2*k^2)*x^2 + a^2 - (2*a^2*k^2 - a*b)*x - (a^4*k^4 + a^4 + a^3*b + (a^4*k^6 + (a^4 + a^3*b)*k^2)*x^2 - (a^4*k^6 + a^4*k^4 + a^4 + a^3*b + (a^4 + a^3*b)*k^2)*x)*sqrt((2*a*k^2 - b)/(a^5*k^8 + a^5 + 2*a^4*b + a^3*b^2 + 2*(a^5 + a^4*b)*k^4)))*sqrt(-(k^2 + (a^2*k^4 + a^2 + a*b)*sqrt((2*a*k^2 - b)/(a^5*k^8 + a^5 + 2*a^4*b + a^3*b^2 + 2*(a^5 + a^4*b)*k^4)) + 1)/(a^2*k^4 + a^2 + a*b)) + 2*((a^3*k^6 + (a^3 + a^2*b)*k^2)*x^3 - (a^3*k^6 + a^3*k^4 + a^3 + a^2*b + (a^3 + a^2*b)*k^2)*x^2 + (a^3*k^4 + a^3 + a^2*b)*x)*sqrt((2*a*k^2 - b)/(a^5*k^8 + a^5 + 2*a^4*b + a^3*b^2 + 2*(a^5 + a^4*b)*k^4)) + a)/(a*k^4*x^4 + b*x^2 + a)) - 1/4*sqrt(-(k^2 + (a^2*k^4 + a^2 + a*b)*sqrt((2*a*k^2 - b)/(a^5*k^8 + a^5 + 2*a^4*b + a^3*b^2 + 2*(a^5 + a^4*b)*k^4)) + 1)/(a^2*k^4 + a^2 + a*b))*log((a*k^4*x^4 - 2*(a*k^4 + a*k^2)*x^3 + (4*a*k^2 - b)*x^2 - 2*(a*k^2 + a)*x - 2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(a^2*k^2 + (a^2*k^4 + a^2*k^2)*x^2 + a^2 - (2*a^2*k^2 - a*b)*x - (a^4*k^4 + a^4 + a^3*b + (a^4*k^6 + (a^4 + a^3*b)*k^2)*x^2 - (a^4*k^6 + a^4*k^4 + a^4 + a^3*b + (a^4 + a^3*b)*k^2)*x)*sqrt((2*a*k^2 - b)/(a^5*k^8 + a^5 + 2*a^4*b + a^3*b^2 + 2*(a^5 + a^4*b)*k^4)))*sqrt(-(k^2 + (a^2*k^4 + a^2 + a*b)*sqrt((2*a*k^2 - b)/(a^5*k^8 + a^5 + 2*a^4*b + a^3*b^2 + 2*(a^5 + a^4*b)*k^4)) + 1)/(a^2*k^4 + a^2 + a*b)) + 2*((a^3*k^6 + (a^3 + a^2*b)*k^2)*x^3 - (a^3*k^6 + a^3*k^4 + a^3 + a^2*b + (a^3 + a^2*b)*k^2)*x^2 + (a^3*k^4 + a^3 + a^2*b)*x)*sqrt((2*a*k^2 - b)/(a^5*k^8 + a^5 + 2*a^4*b + a^3*b^2 + 2*(a^5 + a^4*b)*k^4)) + a)/(a*k^4*x^4 + b*x^2 + a)) + 1/4*sqrt(-(k^2 - (a^2*k^4 + a^2 + a*b)*sqrt((2*a*k^2 - b)/(a^5*k^8 + a^5 + 2*a^4*b + a^3*b^2 + 2*(a^5 + a^4*b)*k^4)) + 1)/(a^2*k^4 + a^2 + a*b))*log((a*k^4*x^4 - 2*(a*k^4 + a*k^2)*x^3 + (4*a*k^2 - b)*x^2 - 2*(a*k^2 + a)*x + 2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(a^2*k^2 + (a^2*k^4 + a^2*k^2)*x^2 + a^2 - (2*a^2*k^2 - a*b)*x + (a^4*k^4 + a^4 + a^3*b + (a^4*k^6 + (a^4 + a^3*b)*k^2)*x^2 - (a^4*k^6 + a^4*k^4 + a^4 + a^3*b + (a^4 + a^3*b)*k^2)*x)*sqrt((2*a*k^2 - b)/(a^5*k^8 + a^5 + 2*a^4*b + a^3*b^2 + 2*(a^5 + a^4*b)*k^4)))*sqrt(-(k^2 - (a^2*k^4 + a^2 + a*b)*sqrt((2*a*k^2 - b)/(a^5*k^8 + a^5 + 2*a^4*b + a^3*b^2 + 2*(a^5 + a^4*b)*k^4)) + 1)/(a^2*k^4 + a^2 + a*b)) - 2*((a^3*k^6 + (a^3 + a^2*b)*k^2)*x^3 - (a^3*k^6 + a^3*k^4 + a^3 + a^2*b + (a^3 + a^2*b)*k^2)*x^2 + (a^3*k^4 + a^3 + a^2*b)*x)*sqrt((2*a*k^2 - b)/(a^5*k^8 + a^5 + 2*a^4*b + a^3*b^2 + 2*(a^5 + a^4*b)*k^4)) + a)/(a*k^4*x^4 + b*x^2 + a)) - 1/4*sqrt(-(k^2 - (a^2*k^4 + a^2 + a*b)*sqrt((2*a*k^2 - b)/(a^5*k^8 + a^5 + 2*a^4*b + a^3*b^2 + 2*(a^5 + a^4*b)*k^4)) + 1)/(a^2*k^4 + a^2 + a*b))*log((a*k^4*x^4 - 2*(a*k^4 + a*k^2)*x^3 + (4*a*k^2 - b)*x^2 - 2*(a*k^2 + a)*x - 2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(a^2*k^2 + (a^2*k^4 + a^2*k^2)*x^2 + a^2 - (2*a^2*k^2 - a*b)*x + (a^4*k^4 + a^4 + a^3*b + (a^4*k^6 + (a^4 + a^3*b)*k^2)*x^2 - (a^4*k^6 + a^4*k^4 + a^4 + a^3*b + (a^4 + a^3*b)*k^2)*x)*sqrt((2*a*k^2 - b)/(a^5*k^8 + a^5 + 2*a^4*b + a^3*b^2 + 2*(a^5 + a^4*b)*k^4)))*sqrt(-(k^2 - (a^2*k^4 + a^2 + a*b)*sqrt((2*a*k^2 - b)/(a^5*k^8 + a^5 + 2*a^4*b + a^3*b^2 + 2*(a^5 + a^4*b)*k^4)) + 1)/(a^2*k^4 + a^2 + a*b)) - 2*((a^3*k^6 + (a^3 + a^2*b)*k^2)*x^3 - (a^3*k^6 + a^3*k^4 + a^3 + a^2*b + (a^3 + a^2*b)*k^2)*x^2 + (a^3*k^4 + a^3 + a^2*b)*x)*sqrt((2*a*k^2 - b)/(a^5*k^8 + a^5 + 2*a^4*b + a^3*b^2 + 2*(a^5 + a^4*b)*k^4)) + a)/(a*k^4*x^4 + b*x^2 + a))","B",0
2786,1,167,0,0.507412," ","integrate(x^5*(-4*a+3*x)/(x^2*(-a+x))^(1/3)/(d*x^8-a^2+2*a*x-x^2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} {\left(d^{2}\right)}^{\frac{1}{6}} d \arctan\left(\frac{\sqrt{3} {\left({\left(d^{2}\right)}^{\frac{1}{3}} d x^{4} + 2 \, {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} {\left(d^{2}\right)}^{\frac{2}{3}}\right)} {\left(d^{2}\right)}^{\frac{1}{6}}}{3 \, d^{2} x^{4}}\right) - 2 \, {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(-\frac{{\left(d^{2}\right)}^{\frac{2}{3}} x^{4} - {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} d}{x^{4}}\right) + {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(\frac{{\left(d^{2}\right)}^{\frac{1}{3}} d x^{6} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} {\left(d^{2}\right)}^{\frac{2}{3}} x^{2} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} {\left(a d - d x\right)}}{x^{6}}\right)}{4 \, d^{2}}"," ",0,"-1/4*(2*sqrt(3)*(d^2)^(1/6)*d*arctan(1/3*sqrt(3)*((d^2)^(1/3)*d*x^4 + 2*(-a*x^2 + x^3)^(2/3)*(d^2)^(2/3))*(d^2)^(1/6)/(d^2*x^4)) - 2*(d^2)^(2/3)*log(-((d^2)^(2/3)*x^4 - (-a*x^2 + x^3)^(2/3)*d)/x^4) + (d^2)^(2/3)*log(((d^2)^(1/3)*d*x^6 + (-a*x^2 + x^3)^(2/3)*(d^2)^(2/3)*x^2 - (-a*x^2 + x^3)^(1/3)*(a*d - d*x))/x^6))/d^2","A",0
2787,1,54,0,0.460236," ","integrate(1/8*(1-x)^(1/2)/(1+x)^(7/2),x, algorithm=""fricas"")","-\frac{4 \, x^{3} + 12 \, x^{2} - {\left(x^{2} + 3 \, x - 4\right)} \sqrt{x + 1} \sqrt{-x + 1} + 12 \, x + 4}{120 \, {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)}}"," ",0,"-1/120*(4*x^3 + 12*x^2 - (x^2 + 3*x - 4)*sqrt(x + 1)*sqrt(-x + 1) + 12*x + 4)/(x^3 + 3*x^2 + 3*x + 1)","A",0
2788,-1,0,0,0.000000," ","integrate((2*a*b^2-b*(2*a+b)*x+x^3)/(x*(-a+x)*(-b+x)^2)^(1/3)/(-a*b^2*d+b*(2*a+b)*d*x-(a*d+2*b*d+1)*x^2+d*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2789,1,462,0,0.691539," ","integrate((x^2-x)*(x^4-x^3)^(1/4)/(x^2-x-1),x, algorithm=""fricas"")","\frac{2}{5} \, \sqrt{5} \sqrt{2 \, \sqrt{5} - 2} \arctan\left(\frac{\sqrt{2} x \sqrt{2 \, \sqrt{5} - 2} \sqrt{\frac{\sqrt{5} x^{2} + x^{2} + 2 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \sqrt{2 \, \sqrt{5} - 2}}{4 \, x}\right) + \frac{2}{5} \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 2} \arctan\left(\frac{\sqrt{2} x \sqrt{2 \, \sqrt{5} + 2} \sqrt{\frac{\sqrt{5} x^{2} - x^{2} + 2 \, \sqrt{x^{4} - x^{3}}}{x^{2}}} - 2 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} \sqrt{2 \, \sqrt{5} + 2}}{4 \, x}\right) - \frac{1}{10} \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 2} \log\left(\frac{{\left(\sqrt{5} x - x\right)} \sqrt{2 \, \sqrt{5} + 2} + 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{10} \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 2} \log\left(-\frac{{\left(\sqrt{5} x - x\right)} \sqrt{2 \, \sqrt{5} + 2} - 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{10} \, \sqrt{5} \sqrt{2 \, \sqrt{5} - 2} \log\left(\frac{{\left(\sqrt{5} x + x\right)} \sqrt{2 \, \sqrt{5} - 2} + 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{10} \, \sqrt{5} \sqrt{2 \, \sqrt{5} - 2} \log\left(-\frac{{\left(\sqrt{5} x + x\right)} \sqrt{2 \, \sqrt{5} - 2} - 4 \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{8} \, {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(4 \, x - 1\right)} + \frac{29}{16} \, \arctan\left(\frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{29}{32} \, \log\left(\frac{x + {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{29}{32} \, \log\left(-\frac{x - {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"2/5*sqrt(5)*sqrt(2*sqrt(5) - 2)*arctan(1/4*(sqrt(2)*x*sqrt(2*sqrt(5) - 2)*sqrt((sqrt(5)*x^2 + x^2 + 2*sqrt(x^4 - x^3))/x^2) - 2*(x^4 - x^3)^(1/4)*sqrt(2*sqrt(5) - 2))/x) + 2/5*sqrt(5)*sqrt(2*sqrt(5) + 2)*arctan(1/4*(sqrt(2)*x*sqrt(2*sqrt(5) + 2)*sqrt((sqrt(5)*x^2 - x^2 + 2*sqrt(x^4 - x^3))/x^2) - 2*(x^4 - x^3)^(1/4)*sqrt(2*sqrt(5) + 2))/x) - 1/10*sqrt(5)*sqrt(2*sqrt(5) + 2)*log(((sqrt(5)*x - x)*sqrt(2*sqrt(5) + 2) + 4*(x^4 - x^3)^(1/4))/x) + 1/10*sqrt(5)*sqrt(2*sqrt(5) + 2)*log(-((sqrt(5)*x - x)*sqrt(2*sqrt(5) + 2) - 4*(x^4 - x^3)^(1/4))/x) - 1/10*sqrt(5)*sqrt(2*sqrt(5) - 2)*log(((sqrt(5)*x + x)*sqrt(2*sqrt(5) - 2) + 4*(x^4 - x^3)^(1/4))/x) + 1/10*sqrt(5)*sqrt(2*sqrt(5) - 2)*log(-((sqrt(5)*x + x)*sqrt(2*sqrt(5) - 2) - 4*(x^4 - x^3)^(1/4))/x) + 1/8*(x^4 - x^3)^(1/4)*(4*x - 1) + 29/16*arctan((x^4 - x^3)^(1/4)/x) + 29/32*log((x + (x^4 - x^3)^(1/4))/x) - 29/32*log(-(x - (x^4 - x^3)^(1/4))/x)","B",0
2790,-1,0,0,0.000000," ","integrate((a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)/x/(d+(c+(a*x+b)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2791,-1,0,0,0.000000," ","integrate((a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)/x/(d+(c+(a*x+b)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2792,1,152,0,0.507678," ","integrate(1/(1+(a*x+(a^2*x^2-b)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{9 \, b \log\left(\sqrt{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} + 1} + 1\right) - 9 \, b \log\left(\sqrt{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} + 1} - 1\right) + 2 \, {\left(6 \, a x - {\left(9 \, a x - 9 \, \sqrt{a^{2} x^{2} - b} - 8\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} - 6 \, \sqrt{a^{2} x^{2} - b} - 16\right)} \sqrt{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} + 1}}{24 \, a}"," ",0,"1/24*(9*b*log(sqrt(sqrt(a*x + sqrt(a^2*x^2 - b)) + 1) + 1) - 9*b*log(sqrt(sqrt(a*x + sqrt(a^2*x^2 - b)) + 1) - 1) + 2*(6*a*x - (9*a*x - 9*sqrt(a^2*x^2 - b) - 8)*sqrt(a*x + sqrt(a^2*x^2 - b)) - 6*sqrt(a^2*x^2 - b) - 16)*sqrt(sqrt(a*x + sqrt(a^2*x^2 - b)) + 1))/a","A",0
2793,-1,0,0,0.000000," ","integrate((-1+x)*(k*x-1)*(-2*x+(1+k)*x^2)/((1-x)*x*(-k*x+1))^(2/3)/(b-2*b*(1+k)*x+(b*k^2+4*b*k+b)*x^2-2*b*k*(1+k)*x^3+(b*k^2-1)*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2794,-1,0,0,0.000000," ","integrate((-1+2*(-2+k)*x+3*k*x^2)*(x^3-3*x^2+3*x-1)/((1-x)*x*(-k*x+1))^(2/3)/(-b+(1+5*b)*x-(10*b+k)*x^2+10*b*x^3-5*b*x^4+b*x^5),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2795,-1,0,0,0.000000," ","integrate((a*x^4+2*b)^(1/4)*(a*x^8-4*b)/x^6/(a*x^8+c*x^4-4*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2796,-1,0,0,0.000000," ","integrate((a*x^4+2*b)^(1/4)*(a*x^8-4*b)/x^6/(a*x^8+c*x^4-4*b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2797,-1,0,0,0.000000," ","integrate((a^12*x^12-b^12)/(a^4*x^4-b^4)^(1/2)/(a^12*x^12+b^12),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2798,-1,0,0,0.000000," ","integrate(1/(1-(1+x)*(a*x^2+b*x+c)^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2799,-1,0,0,0.000000," ","integrate((-x^4+1)*(-x^9+x^8+4*x^7-4*x^6-6*x^5+6*x^4+4*x^3-4*x^2-x+1)^(1/4)/(x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2800,-1,0,0,0.000000," ","integrate((-a*(a-5*b)-(3*a+5*b)*x+4*x^2)/((-a+x)*(-b+x))^(1/3)/(b-a^5*d-(-5*a^4*d+1)*x-10*a^3*d*x^2+10*a^2*d*x^3-5*a*d*x^4+d*x^5),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2801,-1,0,0,0.000000," ","integrate((x^8+1)/(x^4-x^2)^(1/4)/(x^8-1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2802,-1,0,0,0.000000," ","integrate((x^8+1)/(x^4-x^2)^(1/4)/(x^8-1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2803,1,740,0,0.582359," ","integrate((a*b-(a+b)*x+x^2)/((-a+x)*(-b+x)^2)^(2/3)/(a^2-b^2*d-2*(-b*d+a)*x+(1-d)*x^2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{3} d \sqrt{\frac{\left(-d\right)^{\frac{1}{3}}}{d}} \log\left(-\frac{b^{2} d + {\left(d + 2\right)} x^{2} + 2 \, a^{2} - 2 \, {\left(b d + 2 \, a\right)} x + \sqrt{3} {\left(2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(a - x\right)} \left(-d\right)^{\frac{2}{3}} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d - {\left(b^{2} d - 2 \, b d x + d x^{2}\right)} \left(-d\right)^{\frac{1}{3}}\right)} \sqrt{\frac{\left(-d\right)^{\frac{1}{3}}}{d}} - 3 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} \left(-d\right)^{\frac{2}{3}}}{b^{2} d + {\left(d - 1\right)} x^{2} - a^{2} - 2 \, {\left(b d - a\right)} x}\right) + \left(-d\right)^{\frac{2}{3}} \log\left(\frac{{\left(b^{2} - 2 \, b x + x^{2}\right)} \left(-d\right)^{\frac{2}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(a - x\right)} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} \left(-d\right)^{\frac{1}{3}}}{b^{2} - 2 \, b x + x^{2}}\right) - 2 \, \left(-d\right)^{\frac{2}{3}} \log\left(\frac{{\left(b^{2} - 2 \, b x + x^{2}\right)} \left(-d\right)^{\frac{1}{3}} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}\right)}{4 \, {\left(a - b\right)} d}, \frac{2 \, \sqrt{3} d \sqrt{-\frac{\left(-d\right)^{\frac{1}{3}}}{d}} \arctan\left(-\frac{\sqrt{3} {\left({\left(b^{2} - 2 \, b x + x^{2}\right)} \left(-d\right)^{\frac{1}{3}} - 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}}\right)} \sqrt{-\frac{\left(-d\right)^{\frac{1}{3}}}{d}}}{3 \, {\left(b^{2} - 2 \, b x + x^{2}\right)}}\right) - \left(-d\right)^{\frac{2}{3}} \log\left(\frac{{\left(b^{2} - 2 \, b x + x^{2}\right)} \left(-d\right)^{\frac{2}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(a - x\right)} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} \left(-d\right)^{\frac{1}{3}}}{b^{2} - 2 \, b x + x^{2}}\right) + 2 \, \left(-d\right)^{\frac{2}{3}} \log\left(\frac{{\left(b^{2} - 2 \, b x + x^{2}\right)} \left(-d\right)^{\frac{1}{3}} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}\right)}{4 \, {\left(a - b\right)} d}\right]"," ",0,"[-1/4*(sqrt(3)*d*sqrt((-d)^(1/3)/d)*log(-(b^2*d + (d + 2)*x^2 + 2*a^2 - 2*(b*d + 2*a)*x + sqrt(3)*(2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(a - x)*(-d)^(2/3) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d - (b^2*d - 2*b*d*x + d*x^2)*(-d)^(1/3))*sqrt((-d)^(1/3)/d) - 3*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*(-d)^(2/3))/(b^2*d + (d - 1)*x^2 - a^2 - 2*(b*d - a)*x)) + (-d)^(2/3)*log(((b^2 - 2*b*x + x^2)*(-d)^(2/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(a - x) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*(-d)^(1/3))/(b^2 - 2*b*x + x^2)) - 2*(-d)^(2/3)*log(((b^2 - 2*b*x + x^2)*(-d)^(1/3) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3))/(b^2 - 2*b*x + x^2)))/((a - b)*d), 1/4*(2*sqrt(3)*d*sqrt(-(-d)^(1/3)/d)*arctan(-1/3*sqrt(3)*((b^2 - 2*b*x + x^2)*(-d)^(1/3) - 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3))*sqrt(-(-d)^(1/3)/d)/(b^2 - 2*b*x + x^2)) - (-d)^(2/3)*log(((b^2 - 2*b*x + x^2)*(-d)^(2/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(a - x) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*(-d)^(1/3))/(b^2 - 2*b*x + x^2)) + 2*(-d)^(2/3)*log(((b^2 - 2*b*x + x^2)*(-d)^(1/3) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3))/(b^2 - 2*b*x + x^2)))/((a - b)*d)]","A",0
2804,1,373,0,12.458319," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/(x^4-1)/(x^4+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{2} \sqrt{\sqrt{2} - 1} \arctan\left(\frac{x^{8} - 2 \, x^{4} - 2 \, {\left(2 \, x^{7} - 2 \, x^{3} + \sqrt{2} {\left(3 \, x^{7} + x^{3}\right)} - {\left(4 \, \sqrt{2} x^{5} + 5 \, x^{5} - x\right)} \sqrt{x^{4} + 1}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} - 1} - 2 \, \sqrt{2} {\left(x^{8} + 3 \, x^{4}\right)} - 2 \, {\left(3 \, x^{6} + x^{2} + \sqrt{2} {\left(x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} + 1} + 1}{7 \, x^{8} + 10 \, x^{4} - 1}\right) - \frac{1}{16} \, \sqrt{2} \sqrt{\sqrt{2} + 1} \log\left(\frac{2 \, {\left(\sqrt{2} x^{3} + 2 \, x^{3} + \sqrt{x^{4} + 1} {\left(\sqrt{2} x + x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + {\left(2 \, \sqrt{2} x^{4} + 3 \, x^{4} + 2 \, \sqrt{x^{4} + 1} {\left(\sqrt{2} x^{2} + x^{2}\right)} + 1\right)} \sqrt{\sqrt{2} + 1}}{x^{4} - 1}\right) + \frac{1}{16} \, \sqrt{2} \sqrt{\sqrt{2} + 1} \log\left(\frac{2 \, {\left(\sqrt{2} x^{3} + 2 \, x^{3} + \sqrt{x^{4} + 1} {\left(\sqrt{2} x + x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} - {\left(2 \, \sqrt{2} x^{4} + 3 \, x^{4} + 2 \, \sqrt{x^{4} + 1} {\left(\sqrt{2} x^{2} + x^{2}\right)} + 1\right)} \sqrt{\sqrt{2} + 1}}{x^{4} - 1}\right)"," ",0,"-1/4*sqrt(2)*sqrt(sqrt(2) - 1)*arctan((x^8 - 2*x^4 - 2*(2*x^7 - 2*x^3 + sqrt(2)*(3*x^7 + x^3) - (4*sqrt(2)*x^5 + 5*x^5 - x)*sqrt(x^4 + 1))*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) - 1) - 2*sqrt(2)*(x^8 + 3*x^4) - 2*(3*x^6 + x^2 + sqrt(2)*(x^6 - x^2))*sqrt(x^4 + 1) + 1)/(7*x^8 + 10*x^4 - 1)) - 1/16*sqrt(2)*sqrt(sqrt(2) + 1)*log((2*(sqrt(2)*x^3 + 2*x^3 + sqrt(x^4 + 1)*(sqrt(2)*x + x))*sqrt(x^2 + sqrt(x^4 + 1)) + (2*sqrt(2)*x^4 + 3*x^4 + 2*sqrt(x^4 + 1)*(sqrt(2)*x^2 + x^2) + 1)*sqrt(sqrt(2) + 1))/(x^4 - 1)) + 1/16*sqrt(2)*sqrt(sqrt(2) + 1)*log((2*(sqrt(2)*x^3 + 2*x^3 + sqrt(x^4 + 1)*(sqrt(2)*x + x))*sqrt(x^2 + sqrt(x^4 + 1)) - (2*sqrt(2)*x^4 + 3*x^4 + 2*sqrt(x^4 + 1)*(sqrt(2)*x^2 + x^2) + 1)*sqrt(sqrt(2) + 1))/(x^4 - 1))","A",0
2805,1,3724,0,14.523373," ","integrate((x^6-1)/(x^4-x^2)^(1/3)/(x^6+1),x, algorithm=""fricas"")","-\frac{1}{96} \, \sqrt{3} 2^{\frac{2}{3}} \log\left(\frac{8500000 \, {\left(8 \, \sqrt{3} 2^{\frac{1}{3}} {\left(x^{4} - x^{2}\right)} + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(x^{2} - 1\right)} + 6 \cdot 2^{\frac{2}{3}} x\right)} + 2^{\frac{1}{3}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(3 \, x^{3} + 2 \, \sqrt{3} x^{2} - 3 \, x\right)}\right)}}{x^{5} + 2 \, x^{3} + x}\right) - \frac{1}{96} \, \sqrt{3} 2^{\frac{2}{3}} \log\left(\frac{2125000 \, {\left(8 \, \sqrt{3} 2^{\frac{1}{3}} {\left(x^{4} - x^{2}\right)} + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(x^{2} - 1\right)} + 6 \cdot 2^{\frac{2}{3}} x\right)} + 2^{\frac{1}{3}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(3 \, x^{3} + 2 \, \sqrt{3} x^{2} - 3 \, x\right)}\right)}}{x^{5} + 2 \, x^{3} + x}\right) + \frac{1}{96} \, \sqrt{3} 2^{\frac{2}{3}} \log\left(-\frac{2125000 \, {\left(8 \, \sqrt{3} 2^{\frac{1}{3}} {\left(x^{4} - x^{2}\right)} + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(x^{2} - 1\right)} - 6 \cdot 2^{\frac{2}{3}} x\right)} - 2^{\frac{1}{3}} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(3 \, x^{3} - 2 \, \sqrt{3} x^{2} - 3 \, x\right)}\right)}}{x^{5} + 2 \, x^{3} + x}\right) + \frac{1}{96} \, \sqrt{3} 2^{\frac{2}{3}} \log\left(-\frac{8500000 \, {\left(8 \, \sqrt{3} 2^{\frac{1}{3}} {\left(x^{4} - x^{2}\right)} + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(x^{2} - 1\right)} - 6 \cdot 2^{\frac{2}{3}} x\right)} - 2^{\frac{1}{3}} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(3 \, x^{3} - 2 \, \sqrt{3} x^{2} - 3 \, x\right)}\right)}}{x^{5} + 2 \, x^{3} + x}\right) + \frac{1}{12} \cdot 2^{\frac{2}{3}} \arctan\left(-\frac{74071498415429632 \, x^{9} + 1645279755446275808 \, x^{8} - 2346817955632029696 \, x^{7} - 11516958288123930656 \, x^{6} + 5730636889080074240 \, x^{5} + 11516958288123930656 \, x^{4} - 2346817955632029696 \, x^{3} - 1645279755446275808 \, x^{2} - 125 \, \sqrt{34} {\left(4 \, \sqrt{3} 2^{\frac{1}{3}} {\left(78465570355328 \, x^{9} - 3301419835659 \, x^{8} + 1100839094578688 \, x^{7} - 595767752585659 \, x^{6} - 3614058455553280 \, x^{5} + 595767752585659 \, x^{4} + 1100839094578688 \, x^{3} + 3301419835659 \, x^{2} + 78465570355328 \, x\right)} + 16 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(4 \, \sqrt{3} 2^{\frac{2}{3}} {\left(1513688563712 \, x^{6} + 57183135266496 \, x^{5} - 26977277846305 \, x^{4} - 167158338888320 \, x^{3} + 26977277846305 \, x^{2} + 57183135266496 \, x - 1513688563712\right)} - 2^{\frac{2}{3}} {\left(79163286177664 \, x^{6} - 56815411732213 \, x^{5} - 187311276664960 \, x^{4} + 112551186315710 \, x^{3} + 187311276664960 \, x^{2} - 56815411732213 \, x - 79163286177664\right)}\right)} - 2^{\frac{1}{3}} {\left(36167723835659 \, x^{9} + 4738598437685248 \, x^{8} - 1343569332842636 \, x^{7} - 16069401562314752 \, x^{6} + 2036119636643410 \, x^{5} + 16069401562314752 \, x^{4} - 1343569332842636 \, x^{3} - 4738598437685248 \, x^{2} + 36167723835659 \, x\right)} - 4 \, {\left(183204669874443 \, x^{7} + 4116235393055744 \, x^{6} - 2225700627116645 \, x^{5} - 10698715224852480 \, x^{4} + 2225700627116645 \, x^{3} + 4116235393055744 \, x^{2} - 531250 \, \sqrt{3} {\left(1009306368 \, x^{7} - 511421263 \, x^{6} - 4316628224 \, x^{5} + 1207618962 \, x^{4} + 4316628224 \, x^{3} - 511421263 \, x^{2} - 1009306368 \, x\right)} - 183204669874443 \, x\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}}\right)} \sqrt{\frac{8 \, \sqrt{3} 2^{\frac{1}{3}} {\left(x^{4} - x^{2}\right)} + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(x^{2} - 1\right)} + 6 \cdot 2^{\frac{2}{3}} x\right)} + 2^{\frac{1}{3}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(3 \, x^{3} + 2 \, \sqrt{3} x^{2} - 3 \, x\right)}}{x^{5} + 2 \, x^{3} + x}} - 1062500 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(2 \, \sqrt{3} 2^{\frac{1}{3}} {\left(23651383808 \, x^{6} + 470146644789 \, x^{5} - 226386757120 \, x^{4} - 71809982630 \, x^{3} + 226386757120 \, x^{2} + 470146644789 \, x - 23651383808\right)} - 2^{\frac{1}{3}} {\left(618463173263 \, x^{6} - 733160605696 \, x^{5} - 6989546598945 \, x^{4} + 2615047352320 \, x^{3} + 6989546598945 \, x^{2} - 733160605696 \, x - 618463173263\right)}\right)} - 265625 \, \sqrt{3} {\left(613012268401 \, x^{9} - 500076281856 \, x^{8} - 1596364015228 \, x^{7} + 3500533972992 \, x^{6} + 11774899788070 \, x^{5} - 3500533972992 \, x^{4} - 1596364015228 \, x^{3} + 500076281856 \, x^{2} + 613012268401 \, x\right)} - 1062500 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(217120826737 \, x^{7} + 155432605696 \, x^{6} + 1229224098945 \, x^{5} - 689287352320 \, x^{4} - 1229224098945 \, x^{3} + 155432605696 \, x^{2} - 217120826737 \, x\right)} - 2 \cdot 2^{\frac{2}{3}} {\left(71795383808 \, x^{7} + 1283539269789 \, x^{6} - 948546757120 \, x^{5} - 5040931232630 \, x^{4} + 948546757120 \, x^{3} + 1283539269789 \, x^{2} - 71795383808 \, x\right)}\right)} + 74071498415429632 \, x}{479958568556831351 \, x^{9} - 1202832749691437056 \, x^{8} - 12744795130528777828 \, x^{7} + 8419829247840059392 \, x^{6} + 32209010220853194570 \, x^{5} - 8419829247840059392 \, x^{4} - 12744795130528777828 \, x^{3} + 1202832749691437056 \, x^{2} + 479958568556831351 \, x}\right) - \frac{1}{12} \cdot 2^{\frac{2}{3}} \arctan\left(\frac{74071498415429632 \, x^{9} + 1645279755446275808 \, x^{8} - 2346817955632029696 \, x^{7} - 11516958288123930656 \, x^{6} + 5730636889080074240 \, x^{5} + 11516958288123930656 \, x^{4} - 2346817955632029696 \, x^{3} - 1645279755446275808 \, x^{2} + 125 \, \sqrt{34} {\left(4 \, \sqrt{3} 2^{\frac{1}{3}} {\left(78465570355328 \, x^{9} - 3301419835659 \, x^{8} + 1100839094578688 \, x^{7} - 595767752585659 \, x^{6} - 3614058455553280 \, x^{5} + 595767752585659 \, x^{4} + 1100839094578688 \, x^{3} + 3301419835659 \, x^{2} + 78465570355328 \, x\right)} + 16 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(4 \, \sqrt{3} 2^{\frac{2}{3}} {\left(1513688563712 \, x^{6} + 57183135266496 \, x^{5} - 26977277846305 \, x^{4} - 167158338888320 \, x^{3} + 26977277846305 \, x^{2} + 57183135266496 \, x - 1513688563712\right)} + 2^{\frac{2}{3}} {\left(79163286177664 \, x^{6} - 56815411732213 \, x^{5} - 187311276664960 \, x^{4} + 112551186315710 \, x^{3} + 187311276664960 \, x^{2} - 56815411732213 \, x - 79163286177664\right)}\right)} + 2^{\frac{1}{3}} {\left(36167723835659 \, x^{9} + 4738598437685248 \, x^{8} - 1343569332842636 \, x^{7} - 16069401562314752 \, x^{6} + 2036119636643410 \, x^{5} + 16069401562314752 \, x^{4} - 1343569332842636 \, x^{3} - 4738598437685248 \, x^{2} + 36167723835659 \, x\right)} + 4 \, {\left(183204669874443 \, x^{7} + 4116235393055744 \, x^{6} - 2225700627116645 \, x^{5} - 10698715224852480 \, x^{4} + 2225700627116645 \, x^{3} + 4116235393055744 \, x^{2} + 531250 \, \sqrt{3} {\left(1009306368 \, x^{7} - 511421263 \, x^{6} - 4316628224 \, x^{5} + 1207618962 \, x^{4} + 4316628224 \, x^{3} - 511421263 \, x^{2} - 1009306368 \, x\right)} - 183204669874443 \, x\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}}\right)} \sqrt{-\frac{8 \, \sqrt{3} 2^{\frac{1}{3}} {\left(x^{4} - x^{2}\right)} + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(x^{2} - 1\right)} - 6 \cdot 2^{\frac{2}{3}} x\right)} - 2^{\frac{1}{3}} {\left(x^{5} + 2 \, x^{3} + x\right)} - 4 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(3 \, x^{3} - 2 \, \sqrt{3} x^{2} - 3 \, x\right)}}{x^{5} + 2 \, x^{3} + x}} + 1062500 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(2 \, \sqrt{3} 2^{\frac{1}{3}} {\left(23651383808 \, x^{6} + 470146644789 \, x^{5} - 226386757120 \, x^{4} - 71809982630 \, x^{3} + 226386757120 \, x^{2} + 470146644789 \, x - 23651383808\right)} + 2^{\frac{1}{3}} {\left(618463173263 \, x^{6} - 733160605696 \, x^{5} - 6989546598945 \, x^{4} + 2615047352320 \, x^{3} + 6989546598945 \, x^{2} - 733160605696 \, x - 618463173263\right)}\right)} + 265625 \, \sqrt{3} {\left(613012268401 \, x^{9} - 500076281856 \, x^{8} - 1596364015228 \, x^{7} + 3500533972992 \, x^{6} + 11774899788070 \, x^{5} - 3500533972992 \, x^{4} - 1596364015228 \, x^{3} + 500076281856 \, x^{2} + 613012268401 \, x\right)} + 1062500 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(217120826737 \, x^{7} + 155432605696 \, x^{6} + 1229224098945 \, x^{5} - 689287352320 \, x^{4} - 1229224098945 \, x^{3} + 155432605696 \, x^{2} - 217120826737 \, x\right)} + 2 \cdot 2^{\frac{2}{3}} {\left(71795383808 \, x^{7} + 1283539269789 \, x^{6} - 948546757120 \, x^{5} - 5040931232630 \, x^{4} + 948546757120 \, x^{3} + 1283539269789 \, x^{2} - 71795383808 \, x\right)}\right)} + 74071498415429632 \, x}{479958568556831351 \, x^{9} - 1202832749691437056 \, x^{8} - 12744795130528777828 \, x^{7} + 8419829247840059392 \, x^{6} + 32209010220853194570 \, x^{5} - 8419829247840059392 \, x^{4} - 12744795130528777828 \, x^{3} + 1202832749691437056 \, x^{2} + 479958568556831351 \, x}\right) + \frac{1}{6} \cdot 2^{\frac{2}{3}} \arctan\left(-\frac{3564544 \, x^{5} + 249106968 \, x^{4} - 21387264 \, x^{3} + 2125000 \cdot 2^{\frac{2}{3}} {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(512 \, x^{3} + 59 \, x^{2} - 512 \, x\right)} + 1062500 \cdot 2^{\frac{1}{3}} {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(59 \, x^{2} - 2048 \, x - 59\right)} - 249106968 \, x^{2} - 125 \, \sqrt{34} 2^{\frac{1}{6}} {\left(4 \cdot 2^{\frac{2}{3}} {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(15104 \, x^{2} + 527769 \, x - 15104\right)} + 3481 \cdot 2^{\frac{1}{3}} {\left(x^{5} + 2 \, x^{3} + x\right)} + 4 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(527769 \, x^{3} - 60416 \, x^{2} - 527769 \, x\right)}\right)} + 3564544 \, x}{2 \, {\left(205379 \, x^{5} - 2168870912 \, x^{4} - 1232274 \, x^{3} + 2168870912 \, x^{2} + 205379 \, x\right)}}\right) - \frac{1}{12} \, \sqrt{3} \log\left(\frac{26618852 \, {\left(x^{5} - x^{3} + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(\sqrt{3} {\left(x^{2} - 1\right)} + 3 \, x\right)} + 4 \, \sqrt{3} {\left(x^{4} - x^{2}\right)} + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(3 \, x^{3} + \sqrt{3} x^{2} - 3 \, x\right)} + x\right)}}{x^{5} - x^{3} + x}\right) + \frac{1}{12} \, \sqrt{3} \log\left(\frac{26618852 \, {\left(x^{5} - x^{3} - 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(\sqrt{3} {\left(x^{2} - 1\right)} - 3 \, x\right)} - 4 \, \sqrt{3} {\left(x^{4} - x^{2}\right)} + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(3 \, x^{3} - \sqrt{3} x^{2} - 3 \, x\right)} + x\right)}}{x^{5} - x^{3} + x}\right) + \frac{1}{3} \, \arctan\left(-\frac{163348821309602766976 \, x^{9} + 3887432402679837751952 \, x^{8} - 3793551880416319588608 \, x^{7} - 15549729610719351007808 \, x^{6} + 7423754939523036410240 \, x^{5} + 15549729610719351007808 \, x^{4} - 3793551880416319588608 \, x^{3} - 3887432402679837751952 \, x^{2} - 338 \, \sqrt{233} {\left(67166456130593243 \, x^{9} - 1731873489534746816 \, x^{8} - 8262322488125426948 \, x^{7} + 5402376118068558976 \, x^{6} + 16323145607859074167 \, x^{5} - 5402376118068558976 \, x^{4} - 8262322488125426948 \, x^{3} + 1731873489534746816 \, x^{2} + 8 \, {\left(11634681213606448 \, x^{6} + 88410267443510747 \, x^{5} - 141607113799927264 \, x^{4} - 304974921996124561 \, x^{3} + 141607113799927264 \, x^{2} + 2 \, \sqrt{3} {\left(2398449325331968 \, x^{6} + 66317101349416968 \, x^{5} + 306343852456405393 \, x^{4} - 162717914879099272 \, x^{3} - 306343852456405393 \, x^{2} + 66317101349416968 \, x - 2398449325331968\right)} + 88410267443510747 \, x - 11634681213606448\right)} {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} + 2 \, \sqrt{3} {\left(8144636084443696 \, x^{9} + 17828539163673051 \, x^{8} - 307821488566558016 \, x^{7} + 605786626407170998 \, x^{6} + 591209068879784944 \, x^{5} - 605786626407170998 \, x^{4} - 307821488566558016 \, x^{3} - 17828539163673051 \, x^{2} + 8144636084443696 \, x\right)} + 2 \, {\left(195992612428698075 \, x^{7} + 72793982843270240 \, x^{6} - 2656296320238012626 \, x^{5} - 50181424325452512 \, x^{4} + 2656296320238012626 \, x^{3} + 72793982843270240 \, x^{2} + 6654713 \, \sqrt{3} {\left(14835265056 \, x^{7} + 109365761599 \, x^{6} + 11690073152 \, x^{5} - 205755148299 \, x^{4} - 11690073152 \, x^{3} + 109365761599 \, x^{2} - 14835265056 \, x\right)} - 195992612428698075 \, x\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} + 67166456130593243 \, x\right)} \sqrt{\frac{x^{5} - x^{3} + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(\sqrt{3} {\left(x^{2} - 1\right)} + 3 \, x\right)} + 4 \, \sqrt{3} {\left(x^{4} - x^{2}\right)} + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(3 \, x^{3} + \sqrt{3} x^{2} - 3 \, x\right)} + x}{x^{5} - x^{3} + x}} + 26618852 \, {\left(38271977676337 \, x^{6} - 236679798487232 \, x^{5} - 918515085244470 \, x^{4} + 579302159719616 \, x^{3} + 918515085244470 \, x^{2} + \sqrt{3} {\left(15779271877184 \, x^{6} + 170585488729845 \, x^{5} - 175823521011328 \, x^{4} - 273378905866169 \, x^{3} + 175823521011328 \, x^{2} + 170585488729845 \, x - 15779271877184\right)} - 236679798487232 \, x - 38271977676337\right)} {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} + 6654713 \, \sqrt{3} {\left(26791566067249 \, x^{9} - 288529954513920 \, x^{8} - 464756800679794 \, x^{7} + 1154119818055680 \, x^{6} + 902722035292339 \, x^{5} - 1154119818055680 \, x^{4} - 464756800679794 \, x^{3} + 288529954513920 \, x^{2} + 26791566067249 \, x\right)} + 26618852 \, {\left(105942562745152 \, x^{7} + 803699152215459 \, x^{6} - 554507486722688 \, x^{5} - 1645670282107255 \, x^{4} + 554507486722688 \, x^{3} + 803699152215459 \, x^{2} + \sqrt{3} {\left(67792071593521 \, x^{7} + 128485705379776 \, x^{6} - 32790726050718 \, x^{5} - 272750682636736 \, x^{4} + 32790726050718 \, x^{3} + 128485705379776 \, x^{2} - 67792071593521 \, x\right)} - 105942562745152 \, x\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} + 163348821309602766976 \, x}{138674673083346657193 \, x^{9} - 6293534081666240678912 \, x^{8} - 30464519046388862556482 \, x^{7} + 25174136326664962715648 \, x^{6} + 60790363419694378455771 \, x^{5} - 25174136326664962715648 \, x^{4} - 30464519046388862556482 \, x^{3} + 6293534081666240678912 \, x^{2} + 138674673083346657193 \, x}\right) - \frac{1}{3} \, \arctan\left(\frac{163348821309602766976 \, x^{9} + 3887432402679837751952 \, x^{8} - 3793551880416319588608 \, x^{7} - 15549729610719351007808 \, x^{6} + 7423754939523036410240 \, x^{5} + 15549729610719351007808 \, x^{4} - 3793551880416319588608 \, x^{3} - 3887432402679837751952 \, x^{2} - 338 \, \sqrt{233} {\left(67166456130593243 \, x^{9} - 1731873489534746816 \, x^{8} - 8262322488125426948 \, x^{7} + 5402376118068558976 \, x^{6} + 16323145607859074167 \, x^{5} - 5402376118068558976 \, x^{4} - 8262322488125426948 \, x^{3} + 1731873489534746816 \, x^{2} + 8 \, {\left(11634681213606448 \, x^{6} + 88410267443510747 \, x^{5} - 141607113799927264 \, x^{4} - 304974921996124561 \, x^{3} + 141607113799927264 \, x^{2} - 2 \, \sqrt{3} {\left(2398449325331968 \, x^{6} + 66317101349416968 \, x^{5} + 306343852456405393 \, x^{4} - 162717914879099272 \, x^{3} - 306343852456405393 \, x^{2} + 66317101349416968 \, x - 2398449325331968\right)} + 88410267443510747 \, x - 11634681213606448\right)} {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} - 2 \, \sqrt{3} {\left(8144636084443696 \, x^{9} + 17828539163673051 \, x^{8} - 307821488566558016 \, x^{7} + 605786626407170998 \, x^{6} + 591209068879784944 \, x^{5} - 605786626407170998 \, x^{4} - 307821488566558016 \, x^{3} - 17828539163673051 \, x^{2} + 8144636084443696 \, x\right)} + 2 \, {\left(195992612428698075 \, x^{7} + 72793982843270240 \, x^{6} - 2656296320238012626 \, x^{5} - 50181424325452512 \, x^{4} + 2656296320238012626 \, x^{3} + 72793982843270240 \, x^{2} - 6654713 \, \sqrt{3} {\left(14835265056 \, x^{7} + 109365761599 \, x^{6} + 11690073152 \, x^{5} - 205755148299 \, x^{4} - 11690073152 \, x^{3} + 109365761599 \, x^{2} - 14835265056 \, x\right)} - 195992612428698075 \, x\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} + 67166456130593243 \, x\right)} \sqrt{\frac{x^{5} - x^{3} - 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(\sqrt{3} {\left(x^{2} - 1\right)} - 3 \, x\right)} - 4 \, \sqrt{3} {\left(x^{4} - x^{2}\right)} + 2 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(3 \, x^{3} - \sqrt{3} x^{2} - 3 \, x\right)} + x}{x^{5} - x^{3} + x}} + 26618852 \, {\left(38271977676337 \, x^{6} - 236679798487232 \, x^{5} - 918515085244470 \, x^{4} + 579302159719616 \, x^{3} + 918515085244470 \, x^{2} - \sqrt{3} {\left(15779271877184 \, x^{6} + 170585488729845 \, x^{5} - 175823521011328 \, x^{4} - 273378905866169 \, x^{3} + 175823521011328 \, x^{2} + 170585488729845 \, x - 15779271877184\right)} - 236679798487232 \, x - 38271977676337\right)} {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} - 6654713 \, \sqrt{3} {\left(26791566067249 \, x^{9} - 288529954513920 \, x^{8} - 464756800679794 \, x^{7} + 1154119818055680 \, x^{6} + 902722035292339 \, x^{5} - 1154119818055680 \, x^{4} - 464756800679794 \, x^{3} + 288529954513920 \, x^{2} + 26791566067249 \, x\right)} + 26618852 \, {\left(105942562745152 \, x^{7} + 803699152215459 \, x^{6} - 554507486722688 \, x^{5} - 1645670282107255 \, x^{4} + 554507486722688 \, x^{3} + 803699152215459 \, x^{2} - \sqrt{3} {\left(67792071593521 \, x^{7} + 128485705379776 \, x^{6} - 32790726050718 \, x^{5} - 272750682636736 \, x^{4} + 32790726050718 \, x^{3} + 128485705379776 \, x^{2} - 67792071593521 \, x\right)} - 105942562745152 \, x\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} + 163348821309602766976 \, x}{138674673083346657193 \, x^{9} - 6293534081666240678912 \, x^{8} - 30464519046388862556482 \, x^{7} + 25174136326664962715648 \, x^{6} + 60790363419694378455771 \, x^{5} - 25174136326664962715648 \, x^{4} - 30464519046388862556482 \, x^{3} + 6293534081666240678912 \, x^{2} + 138674673083346657193 \, x}\right) - \frac{1}{3} \, \arctan\left(-\frac{2 \, {\left(1910654896 \, x^{5} - 17610113139 \, x^{4} - 5731964688 \, x^{3} + 17610113139 \, x^{2} - 6654713 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(2507 \, x^{2} + 1216 \, x - 2507\right)} + 6654713 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(1216 \, x^{3} - 2507 \, x^{2} - 1216 \, x\right)} + 1910654896 \, x\right)}}{15756617843 \, x^{5} + 24725904448 \, x^{4} - 47269853529 \, x^{3} - 24725904448 \, x^{2} + 15756617843 \, x}\right)"," ",0,"-1/96*sqrt(3)*2^(2/3)*log(8500000*(8*sqrt(3)*2^(1/3)*(x^4 - x^2) + 2*(x^4 - x^2)^(2/3)*(sqrt(3)*2^(2/3)*(x^2 - 1) + 6*2^(2/3)*x) + 2^(1/3)*(x^5 + 2*x^3 + x) + 4*(x^4 - x^2)^(1/3)*(3*x^3 + 2*sqrt(3)*x^2 - 3*x))/(x^5 + 2*x^3 + x)) - 1/96*sqrt(3)*2^(2/3)*log(2125000*(8*sqrt(3)*2^(1/3)*(x^4 - x^2) + 2*(x^4 - x^2)^(2/3)*(sqrt(3)*2^(2/3)*(x^2 - 1) + 6*2^(2/3)*x) + 2^(1/3)*(x^5 + 2*x^3 + x) + 4*(x^4 - x^2)^(1/3)*(3*x^3 + 2*sqrt(3)*x^2 - 3*x))/(x^5 + 2*x^3 + x)) + 1/96*sqrt(3)*2^(2/3)*log(-2125000*(8*sqrt(3)*2^(1/3)*(x^4 - x^2) + 2*(x^4 - x^2)^(2/3)*(sqrt(3)*2^(2/3)*(x^2 - 1) - 6*2^(2/3)*x) - 2^(1/3)*(x^5 + 2*x^3 + x) - 4*(x^4 - x^2)^(1/3)*(3*x^3 - 2*sqrt(3)*x^2 - 3*x))/(x^5 + 2*x^3 + x)) + 1/96*sqrt(3)*2^(2/3)*log(-8500000*(8*sqrt(3)*2^(1/3)*(x^4 - x^2) + 2*(x^4 - x^2)^(2/3)*(sqrt(3)*2^(2/3)*(x^2 - 1) - 6*2^(2/3)*x) - 2^(1/3)*(x^5 + 2*x^3 + x) - 4*(x^4 - x^2)^(1/3)*(3*x^3 - 2*sqrt(3)*x^2 - 3*x))/(x^5 + 2*x^3 + x)) + 1/12*2^(2/3)*arctan(-(74071498415429632*x^9 + 1645279755446275808*x^8 - 2346817955632029696*x^7 - 11516958288123930656*x^6 + 5730636889080074240*x^5 + 11516958288123930656*x^4 - 2346817955632029696*x^3 - 1645279755446275808*x^2 - 125*sqrt(34)*(4*sqrt(3)*2^(1/3)*(78465570355328*x^9 - 3301419835659*x^8 + 1100839094578688*x^7 - 595767752585659*x^6 - 3614058455553280*x^5 + 595767752585659*x^4 + 1100839094578688*x^3 + 3301419835659*x^2 + 78465570355328*x) + 16*(x^4 - x^2)^(2/3)*(4*sqrt(3)*2^(2/3)*(1513688563712*x^6 + 57183135266496*x^5 - 26977277846305*x^4 - 167158338888320*x^3 + 26977277846305*x^2 + 57183135266496*x - 1513688563712) - 2^(2/3)*(79163286177664*x^6 - 56815411732213*x^5 - 187311276664960*x^4 + 112551186315710*x^3 + 187311276664960*x^2 - 56815411732213*x - 79163286177664)) - 2^(1/3)*(36167723835659*x^9 + 4738598437685248*x^8 - 1343569332842636*x^7 - 16069401562314752*x^6 + 2036119636643410*x^5 + 16069401562314752*x^4 - 1343569332842636*x^3 - 4738598437685248*x^2 + 36167723835659*x) - 4*(183204669874443*x^7 + 4116235393055744*x^6 - 2225700627116645*x^5 - 10698715224852480*x^4 + 2225700627116645*x^3 + 4116235393055744*x^2 - 531250*sqrt(3)*(1009306368*x^7 - 511421263*x^6 - 4316628224*x^5 + 1207618962*x^4 + 4316628224*x^3 - 511421263*x^2 - 1009306368*x) - 183204669874443*x)*(x^4 - x^2)^(1/3))*sqrt((8*sqrt(3)*2^(1/3)*(x^4 - x^2) + 2*(x^4 - x^2)^(2/3)*(sqrt(3)*2^(2/3)*(x^2 - 1) + 6*2^(2/3)*x) + 2^(1/3)*(x^5 + 2*x^3 + x) + 4*(x^4 - x^2)^(1/3)*(3*x^3 + 2*sqrt(3)*x^2 - 3*x))/(x^5 + 2*x^3 + x)) - 1062500*(x^4 - x^2)^(2/3)*(2*sqrt(3)*2^(1/3)*(23651383808*x^6 + 470146644789*x^5 - 226386757120*x^4 - 71809982630*x^3 + 226386757120*x^2 + 470146644789*x - 23651383808) - 2^(1/3)*(618463173263*x^6 - 733160605696*x^5 - 6989546598945*x^4 + 2615047352320*x^3 + 6989546598945*x^2 - 733160605696*x - 618463173263)) - 265625*sqrt(3)*(613012268401*x^9 - 500076281856*x^8 - 1596364015228*x^7 + 3500533972992*x^6 + 11774899788070*x^5 - 3500533972992*x^4 - 1596364015228*x^3 + 500076281856*x^2 + 613012268401*x) - 1062500*(x^4 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*(217120826737*x^7 + 155432605696*x^6 + 1229224098945*x^5 - 689287352320*x^4 - 1229224098945*x^3 + 155432605696*x^2 - 217120826737*x) - 2*2^(2/3)*(71795383808*x^7 + 1283539269789*x^6 - 948546757120*x^5 - 5040931232630*x^4 + 948546757120*x^3 + 1283539269789*x^2 - 71795383808*x)) + 74071498415429632*x)/(479958568556831351*x^9 - 1202832749691437056*x^8 - 12744795130528777828*x^7 + 8419829247840059392*x^6 + 32209010220853194570*x^5 - 8419829247840059392*x^4 - 12744795130528777828*x^3 + 1202832749691437056*x^2 + 479958568556831351*x)) - 1/12*2^(2/3)*arctan((74071498415429632*x^9 + 1645279755446275808*x^8 - 2346817955632029696*x^7 - 11516958288123930656*x^6 + 5730636889080074240*x^5 + 11516958288123930656*x^4 - 2346817955632029696*x^3 - 1645279755446275808*x^2 + 125*sqrt(34)*(4*sqrt(3)*2^(1/3)*(78465570355328*x^9 - 3301419835659*x^8 + 1100839094578688*x^7 - 595767752585659*x^6 - 3614058455553280*x^5 + 595767752585659*x^4 + 1100839094578688*x^3 + 3301419835659*x^2 + 78465570355328*x) + 16*(x^4 - x^2)^(2/3)*(4*sqrt(3)*2^(2/3)*(1513688563712*x^6 + 57183135266496*x^5 - 26977277846305*x^4 - 167158338888320*x^3 + 26977277846305*x^2 + 57183135266496*x - 1513688563712) + 2^(2/3)*(79163286177664*x^6 - 56815411732213*x^5 - 187311276664960*x^4 + 112551186315710*x^3 + 187311276664960*x^2 - 56815411732213*x - 79163286177664)) + 2^(1/3)*(36167723835659*x^9 + 4738598437685248*x^8 - 1343569332842636*x^7 - 16069401562314752*x^6 + 2036119636643410*x^5 + 16069401562314752*x^4 - 1343569332842636*x^3 - 4738598437685248*x^2 + 36167723835659*x) + 4*(183204669874443*x^7 + 4116235393055744*x^6 - 2225700627116645*x^5 - 10698715224852480*x^4 + 2225700627116645*x^3 + 4116235393055744*x^2 + 531250*sqrt(3)*(1009306368*x^7 - 511421263*x^6 - 4316628224*x^5 + 1207618962*x^4 + 4316628224*x^3 - 511421263*x^2 - 1009306368*x) - 183204669874443*x)*(x^4 - x^2)^(1/3))*sqrt(-(8*sqrt(3)*2^(1/3)*(x^4 - x^2) + 2*(x^4 - x^2)^(2/3)*(sqrt(3)*2^(2/3)*(x^2 - 1) - 6*2^(2/3)*x) - 2^(1/3)*(x^5 + 2*x^3 + x) - 4*(x^4 - x^2)^(1/3)*(3*x^3 - 2*sqrt(3)*x^2 - 3*x))/(x^5 + 2*x^3 + x)) + 1062500*(x^4 - x^2)^(2/3)*(2*sqrt(3)*2^(1/3)*(23651383808*x^6 + 470146644789*x^5 - 226386757120*x^4 - 71809982630*x^3 + 226386757120*x^2 + 470146644789*x - 23651383808) + 2^(1/3)*(618463173263*x^6 - 733160605696*x^5 - 6989546598945*x^4 + 2615047352320*x^3 + 6989546598945*x^2 - 733160605696*x - 618463173263)) + 265625*sqrt(3)*(613012268401*x^9 - 500076281856*x^8 - 1596364015228*x^7 + 3500533972992*x^6 + 11774899788070*x^5 - 3500533972992*x^4 - 1596364015228*x^3 + 500076281856*x^2 + 613012268401*x) + 1062500*(x^4 - x^2)^(1/3)*(sqrt(3)*2^(2/3)*(217120826737*x^7 + 155432605696*x^6 + 1229224098945*x^5 - 689287352320*x^4 - 1229224098945*x^3 + 155432605696*x^2 - 217120826737*x) + 2*2^(2/3)*(71795383808*x^7 + 1283539269789*x^6 - 948546757120*x^5 - 5040931232630*x^4 + 948546757120*x^3 + 1283539269789*x^2 - 71795383808*x)) + 74071498415429632*x)/(479958568556831351*x^9 - 1202832749691437056*x^8 - 12744795130528777828*x^7 + 8419829247840059392*x^6 + 32209010220853194570*x^5 - 8419829247840059392*x^4 - 12744795130528777828*x^3 + 1202832749691437056*x^2 + 479958568556831351*x)) + 1/6*2^(2/3)*arctan(-1/2*(3564544*x^5 + 249106968*x^4 - 21387264*x^3 + 2125000*2^(2/3)*(x^4 - x^2)^(1/3)*(512*x^3 + 59*x^2 - 512*x) + 1062500*2^(1/3)*(x^4 - x^2)^(2/3)*(59*x^2 - 2048*x - 59) - 249106968*x^2 - 125*sqrt(34)*2^(1/6)*(4*2^(2/3)*(x^4 - x^2)^(2/3)*(15104*x^2 + 527769*x - 15104) + 3481*2^(1/3)*(x^5 + 2*x^3 + x) + 4*(x^4 - x^2)^(1/3)*(527769*x^3 - 60416*x^2 - 527769*x)) + 3564544*x)/(205379*x^5 - 2168870912*x^4 - 1232274*x^3 + 2168870912*x^2 + 205379*x)) - 1/12*sqrt(3)*log(26618852*(x^5 - x^3 + 2*(x^4 - x^2)^(2/3)*(sqrt(3)*(x^2 - 1) + 3*x) + 4*sqrt(3)*(x^4 - x^2) + 2*(x^4 - x^2)^(1/3)*(3*x^3 + sqrt(3)*x^2 - 3*x) + x)/(x^5 - x^3 + x)) + 1/12*sqrt(3)*log(26618852*(x^5 - x^3 - 2*(x^4 - x^2)^(2/3)*(sqrt(3)*(x^2 - 1) - 3*x) - 4*sqrt(3)*(x^4 - x^2) + 2*(x^4 - x^2)^(1/3)*(3*x^3 - sqrt(3)*x^2 - 3*x) + x)/(x^5 - x^3 + x)) + 1/3*arctan(-(163348821309602766976*x^9 + 3887432402679837751952*x^8 - 3793551880416319588608*x^7 - 15549729610719351007808*x^6 + 7423754939523036410240*x^5 + 15549729610719351007808*x^4 - 3793551880416319588608*x^3 - 3887432402679837751952*x^2 - 338*sqrt(233)*(67166456130593243*x^9 - 1731873489534746816*x^8 - 8262322488125426948*x^7 + 5402376118068558976*x^6 + 16323145607859074167*x^5 - 5402376118068558976*x^4 - 8262322488125426948*x^3 + 1731873489534746816*x^2 + 8*(11634681213606448*x^6 + 88410267443510747*x^5 - 141607113799927264*x^4 - 304974921996124561*x^3 + 141607113799927264*x^2 + 2*sqrt(3)*(2398449325331968*x^6 + 66317101349416968*x^5 + 306343852456405393*x^4 - 162717914879099272*x^3 - 306343852456405393*x^2 + 66317101349416968*x - 2398449325331968) + 88410267443510747*x - 11634681213606448)*(x^4 - x^2)^(2/3) + 2*sqrt(3)*(8144636084443696*x^9 + 17828539163673051*x^8 - 307821488566558016*x^7 + 605786626407170998*x^6 + 591209068879784944*x^5 - 605786626407170998*x^4 - 307821488566558016*x^3 - 17828539163673051*x^2 + 8144636084443696*x) + 2*(195992612428698075*x^7 + 72793982843270240*x^6 - 2656296320238012626*x^5 - 50181424325452512*x^4 + 2656296320238012626*x^3 + 72793982843270240*x^2 + 6654713*sqrt(3)*(14835265056*x^7 + 109365761599*x^6 + 11690073152*x^5 - 205755148299*x^4 - 11690073152*x^3 + 109365761599*x^2 - 14835265056*x) - 195992612428698075*x)*(x^4 - x^2)^(1/3) + 67166456130593243*x)*sqrt((x^5 - x^3 + 2*(x^4 - x^2)^(2/3)*(sqrt(3)*(x^2 - 1) + 3*x) + 4*sqrt(3)*(x^4 - x^2) + 2*(x^4 - x^2)^(1/3)*(3*x^3 + sqrt(3)*x^2 - 3*x) + x)/(x^5 - x^3 + x)) + 26618852*(38271977676337*x^6 - 236679798487232*x^5 - 918515085244470*x^4 + 579302159719616*x^3 + 918515085244470*x^2 + sqrt(3)*(15779271877184*x^6 + 170585488729845*x^5 - 175823521011328*x^4 - 273378905866169*x^3 + 175823521011328*x^2 + 170585488729845*x - 15779271877184) - 236679798487232*x - 38271977676337)*(x^4 - x^2)^(2/3) + 6654713*sqrt(3)*(26791566067249*x^9 - 288529954513920*x^8 - 464756800679794*x^7 + 1154119818055680*x^6 + 902722035292339*x^5 - 1154119818055680*x^4 - 464756800679794*x^3 + 288529954513920*x^2 + 26791566067249*x) + 26618852*(105942562745152*x^7 + 803699152215459*x^6 - 554507486722688*x^5 - 1645670282107255*x^4 + 554507486722688*x^3 + 803699152215459*x^2 + sqrt(3)*(67792071593521*x^7 + 128485705379776*x^6 - 32790726050718*x^5 - 272750682636736*x^4 + 32790726050718*x^3 + 128485705379776*x^2 - 67792071593521*x) - 105942562745152*x)*(x^4 - x^2)^(1/3) + 163348821309602766976*x)/(138674673083346657193*x^9 - 6293534081666240678912*x^8 - 30464519046388862556482*x^7 + 25174136326664962715648*x^6 + 60790363419694378455771*x^5 - 25174136326664962715648*x^4 - 30464519046388862556482*x^3 + 6293534081666240678912*x^2 + 138674673083346657193*x)) - 1/3*arctan((163348821309602766976*x^9 + 3887432402679837751952*x^8 - 3793551880416319588608*x^7 - 15549729610719351007808*x^6 + 7423754939523036410240*x^5 + 15549729610719351007808*x^4 - 3793551880416319588608*x^3 - 3887432402679837751952*x^2 - 338*sqrt(233)*(67166456130593243*x^9 - 1731873489534746816*x^8 - 8262322488125426948*x^7 + 5402376118068558976*x^6 + 16323145607859074167*x^5 - 5402376118068558976*x^4 - 8262322488125426948*x^3 + 1731873489534746816*x^2 + 8*(11634681213606448*x^6 + 88410267443510747*x^5 - 141607113799927264*x^4 - 304974921996124561*x^3 + 141607113799927264*x^2 - 2*sqrt(3)*(2398449325331968*x^6 + 66317101349416968*x^5 + 306343852456405393*x^4 - 162717914879099272*x^3 - 306343852456405393*x^2 + 66317101349416968*x - 2398449325331968) + 88410267443510747*x - 11634681213606448)*(x^4 - x^2)^(2/3) - 2*sqrt(3)*(8144636084443696*x^9 + 17828539163673051*x^8 - 307821488566558016*x^7 + 605786626407170998*x^6 + 591209068879784944*x^5 - 605786626407170998*x^4 - 307821488566558016*x^3 - 17828539163673051*x^2 + 8144636084443696*x) + 2*(195992612428698075*x^7 + 72793982843270240*x^6 - 2656296320238012626*x^5 - 50181424325452512*x^4 + 2656296320238012626*x^3 + 72793982843270240*x^2 - 6654713*sqrt(3)*(14835265056*x^7 + 109365761599*x^6 + 11690073152*x^5 - 205755148299*x^4 - 11690073152*x^3 + 109365761599*x^2 - 14835265056*x) - 195992612428698075*x)*(x^4 - x^2)^(1/3) + 67166456130593243*x)*sqrt((x^5 - x^3 - 2*(x^4 - x^2)^(2/3)*(sqrt(3)*(x^2 - 1) - 3*x) - 4*sqrt(3)*(x^4 - x^2) + 2*(x^4 - x^2)^(1/3)*(3*x^3 - sqrt(3)*x^2 - 3*x) + x)/(x^5 - x^3 + x)) + 26618852*(38271977676337*x^6 - 236679798487232*x^5 - 918515085244470*x^4 + 579302159719616*x^3 + 918515085244470*x^2 - sqrt(3)*(15779271877184*x^6 + 170585488729845*x^5 - 175823521011328*x^4 - 273378905866169*x^3 + 175823521011328*x^2 + 170585488729845*x - 15779271877184) - 236679798487232*x - 38271977676337)*(x^4 - x^2)^(2/3) - 6654713*sqrt(3)*(26791566067249*x^9 - 288529954513920*x^8 - 464756800679794*x^7 + 1154119818055680*x^6 + 902722035292339*x^5 - 1154119818055680*x^4 - 464756800679794*x^3 + 288529954513920*x^2 + 26791566067249*x) + 26618852*(105942562745152*x^7 + 803699152215459*x^6 - 554507486722688*x^5 - 1645670282107255*x^4 + 554507486722688*x^3 + 803699152215459*x^2 - sqrt(3)*(67792071593521*x^7 + 128485705379776*x^6 - 32790726050718*x^5 - 272750682636736*x^4 + 32790726050718*x^3 + 128485705379776*x^2 - 67792071593521*x) - 105942562745152*x)*(x^4 - x^2)^(1/3) + 163348821309602766976*x)/(138674673083346657193*x^9 - 6293534081666240678912*x^8 - 30464519046388862556482*x^7 + 25174136326664962715648*x^6 + 60790363419694378455771*x^5 - 25174136326664962715648*x^4 - 30464519046388862556482*x^3 + 6293534081666240678912*x^2 + 138674673083346657193*x)) - 1/3*arctan(-2*(1910654896*x^5 - 17610113139*x^4 - 5731964688*x^3 + 17610113139*x^2 - 6654713*(x^4 - x^2)^(2/3)*(2507*x^2 + 1216*x - 2507) + 6654713*(x^4 - x^2)^(1/3)*(1216*x^3 - 2507*x^2 - 1216*x) + 1910654896*x)/(15756617843*x^5 + 24725904448*x^4 - 47269853529*x^3 - 24725904448*x^2 + 15756617843*x))","B",0
2806,1,436,0,1.888937," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/(1+x),x, algorithm=""fricas"")","\sqrt{\sqrt{2} - 1} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} {\left(x^{2} + 1\right)} + 2 \, \sqrt{x^{4} + 1}\right)} \sqrt{\sqrt{2} + 1} \sqrt{\sqrt{2} - 1} - 2 \, {\left(x^{3} - x^{2} - \sqrt{2} {\left(x^{2} - x\right)} - \sqrt{x^{4} + 1} {\left(x - \sqrt{2} - 1\right)} + x + 1\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} - 1}}{2 \, {\left(x^{2} - 2 \, x + 1\right)}}\right) + \frac{1}{4} \, \sqrt{2} \log\left(4 \, x^{4} + 4 \, \sqrt{x^{4} + 1} x^{2} - 2 \, {\left(\sqrt{2} x^{3} + \sqrt{2} \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 1\right) + \frac{1}{4} \, \sqrt{\sqrt{2} + 1} \log\left(-\frac{2 \, {\left({\left(2 \, x^{3} - \sqrt{2} {\left(x^{3} - x^{2} - x - 1\right)} + \sqrt{x^{4} + 1} {\left(\sqrt{2} {\left(x - 1\right)} - 2 \, x\right)} - 2\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + {\left(2 \, x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 2 \, \sqrt{x^{4} + 1} {\left(\sqrt{2} - 1\right)} + 2\right)} \sqrt{\sqrt{2} + 1}\right)}}{x^{2} + 2 \, x + 1}\right) - \frac{1}{4} \, \sqrt{\sqrt{2} + 1} \log\left(-\frac{2 \, {\left({\left(2 \, x^{3} - \sqrt{2} {\left(x^{3} - x^{2} - x - 1\right)} + \sqrt{x^{4} + 1} {\left(\sqrt{2} {\left(x - 1\right)} - 2 \, x\right)} - 2\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} - {\left(2 \, x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 2 \, \sqrt{x^{4} + 1} {\left(\sqrt{2} - 1\right)} + 2\right)} \sqrt{\sqrt{2} + 1}\right)}}{x^{2} + 2 \, x + 1}\right) + \sqrt{x^{2} + \sqrt{x^{4} + 1}}"," ",0,"sqrt(sqrt(2) - 1)*arctan(-1/2*(sqrt(2)*(sqrt(2)*(x^2 + 1) + 2*sqrt(x^4 + 1))*sqrt(sqrt(2) + 1)*sqrt(sqrt(2) - 1) - 2*(x^3 - x^2 - sqrt(2)*(x^2 - x) - sqrt(x^4 + 1)*(x - sqrt(2) - 1) + x + 1)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) - 1))/(x^2 - 2*x + 1)) + 1/4*sqrt(2)*log(4*x^4 + 4*sqrt(x^4 + 1)*x^2 - 2*(sqrt(2)*x^3 + sqrt(2)*sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1) + 1/4*sqrt(sqrt(2) + 1)*log(-2*((2*x^3 - sqrt(2)*(x^3 - x^2 - x - 1) + sqrt(x^4 + 1)*(sqrt(2)*(x - 1) - 2*x) - 2)*sqrt(x^2 + sqrt(x^4 + 1)) + (2*x^2 - sqrt(2)*(x^2 + 1) + 2*sqrt(x^4 + 1)*(sqrt(2) - 1) + 2)*sqrt(sqrt(2) + 1))/(x^2 + 2*x + 1)) - 1/4*sqrt(sqrt(2) + 1)*log(-2*((2*x^3 - sqrt(2)*(x^3 - x^2 - x - 1) + sqrt(x^4 + 1)*(sqrt(2)*(x - 1) - 2*x) - 2)*sqrt(x^2 + sqrt(x^4 + 1)) - (2*x^2 - sqrt(2)*(x^2 + 1) + 2*sqrt(x^4 + 1)*(sqrt(2) - 1) + 2)*sqrt(sqrt(2) + 1))/(x^2 + 2*x + 1)) + sqrt(x^2 + sqrt(x^4 + 1))","B",0
2807,-1,0,0,0.000000," ","integrate((a*x^2+b)/(-a*x^2+b)/(a*x^5+b*x^3)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2808,-1,0,0,0.000000," ","integrate((x^3+4)*(x^4+x^3+1)/(x^3+1)^(1/4)/(x^8+x^6+2*x^3+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2809,-1,0,0,0.000000," ","integrate(x^2*(1+x)^(1/2)/(x^2-(1+x)^(1/2)*(1+(1+x)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2810,-1,0,0,0.000000," ","integrate(x^2*(1+x)^(1/2)/(x^2-(1+x)^(1/2)*(1+(1+x)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2811,1,1239,0,0.714655," ","integrate((x^4-a*x-b)*(a*x^4+b*x^3)^(1/4)/(a*x-b),x, algorithm=""fricas"")","\frac{491520 \cdot 2^{\frac{1}{4}} a^{5} \left(\frac{16 \, a^{16} b^{8} - 32 \, a^{12} b^{11} + 24 \, a^{8} b^{14} - 8 \, a^{4} b^{17} + b^{20}}{a^{23}}\right)^{\frac{1}{4}} \arctan\left(\frac{2^{\frac{3}{4}} a^{17} x \sqrt{\frac{\sqrt{2} a^{12} x^{2} \sqrt{\frac{16 \, a^{16} b^{8} - 32 \, a^{12} b^{11} + 24 \, a^{8} b^{14} - 8 \, a^{4} b^{17} + b^{20}}{a^{23}}} + {\left(4 \, a^{8} b^{4} - 4 \, a^{4} b^{7} + b^{10}\right)} \sqrt{a x^{4} + b x^{3}}}{x^{2}}} \left(\frac{16 \, a^{16} b^{8} - 32 \, a^{12} b^{11} + 24 \, a^{8} b^{14} - 8 \, a^{4} b^{17} + b^{20}}{a^{23}}\right)^{\frac{3}{4}} + 2^{\frac{3}{4}} {\left(2 \, a^{21} b^{2} - a^{17} b^{5}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} \left(\frac{16 \, a^{16} b^{8} - 32 \, a^{12} b^{11} + 24 \, a^{8} b^{14} - 8 \, a^{4} b^{17} + b^{20}}{a^{23}}\right)^{\frac{3}{4}}}{2 \, {\left(16 \, a^{16} b^{8} - 32 \, a^{12} b^{11} + 24 \, a^{8} b^{14} - 8 \, a^{4} b^{17} + b^{20}\right)} x}\right) + 122880 \cdot 2^{\frac{1}{4}} a^{5} \left(\frac{16 \, a^{16} b^{8} - 32 \, a^{12} b^{11} + 24 \, a^{8} b^{14} - 8 \, a^{4} b^{17} + b^{20}}{a^{23}}\right)^{\frac{1}{4}} \log\left(-\frac{2^{\frac{1}{4}} a^{6} x \left(\frac{16 \, a^{16} b^{8} - 32 \, a^{12} b^{11} + 24 \, a^{8} b^{14} - 8 \, a^{4} b^{17} + b^{20}}{a^{23}}\right)^{\frac{1}{4}} + {\left(2 \, a^{4} b^{2} - b^{5}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - 122880 \cdot 2^{\frac{1}{4}} a^{5} \left(\frac{16 \, a^{16} b^{8} - 32 \, a^{12} b^{11} + 24 \, a^{8} b^{14} - 8 \, a^{4} b^{17} + b^{20}}{a^{23}}\right)^{\frac{1}{4}} \log\left(\frac{2^{\frac{1}{4}} a^{6} x \left(\frac{16 \, a^{16} b^{8} - 32 \, a^{12} b^{11} + 24 \, a^{8} b^{14} - 8 \, a^{4} b^{17} + b^{20}}{a^{23}}\right)^{\frac{1}{4}} - {\left(2 \, a^{4} b^{2} - b^{5}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - 60 \, a^{5} \left(\frac{150981161449947136 \, a^{16} b^{8} - 301564036556783616 \, a^{12} b^{11} + 225874706663079936 \, a^{8} b^{14} - 75192259797236736 \, a^{4} b^{17} + 9386635211853201 \, b^{20}}{a^{23}}\right)^{\frac{1}{4}} \arctan\left(\frac{a^{17} x \sqrt{\frac{a^{12} x^{2} \sqrt{\frac{150981161449947136 \, a^{16} b^{8} - 301564036556783616 \, a^{12} b^{11} + 225874706663079936 \, a^{8} b^{14} - 75192259797236736 \, a^{4} b^{17} + 9386635211853201 \, b^{20}}{a^{23}}} + {\left(388562944 \, a^{8} b^{4} - 388050432 \, a^{4} b^{7} + 96884649 \, b^{10}\right)} \sqrt{a x^{4} + b x^{3}}}{x^{2}}} \left(\frac{150981161449947136 \, a^{16} b^{8} - 301564036556783616 \, a^{12} b^{11} + 225874706663079936 \, a^{8} b^{14} - 75192259797236736 \, a^{4} b^{17} + 9386635211853201 \, b^{20}}{a^{23}}\right)^{\frac{3}{4}} + {\left(19712 \, a^{21} b^{2} - 9843 \, a^{17} b^{5}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} \left(\frac{150981161449947136 \, a^{16} b^{8} - 301564036556783616 \, a^{12} b^{11} + 225874706663079936 \, a^{8} b^{14} - 75192259797236736 \, a^{4} b^{17} + 9386635211853201 \, b^{20}}{a^{23}}\right)^{\frac{3}{4}}}{{\left(150981161449947136 \, a^{16} b^{8} - 301564036556783616 \, a^{12} b^{11} + 225874706663079936 \, a^{8} b^{14} - 75192259797236736 \, a^{4} b^{17} + 9386635211853201 \, b^{20}\right)} x}\right) - 15 \, a^{5} \left(\frac{150981161449947136 \, a^{16} b^{8} - 301564036556783616 \, a^{12} b^{11} + 225874706663079936 \, a^{8} b^{14} - 75192259797236736 \, a^{4} b^{17} + 9386635211853201 \, b^{20}}{a^{23}}\right)^{\frac{1}{4}} \log\left(-\frac{a^{6} x \left(\frac{150981161449947136 \, a^{16} b^{8} - 301564036556783616 \, a^{12} b^{11} + 225874706663079936 \, a^{8} b^{14} - 75192259797236736 \, a^{4} b^{17} + 9386635211853201 \, b^{20}}{a^{23}}\right)^{\frac{1}{4}} + {\left(19712 \, a^{4} b^{2} - 9843 \, b^{5}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 15 \, a^{5} \left(\frac{150981161449947136 \, a^{16} b^{8} - 301564036556783616 \, a^{12} b^{11} + 225874706663079936 \, a^{8} b^{14} - 75192259797236736 \, a^{4} b^{17} + 9386635211853201 \, b^{20}}{a^{23}}\right)^{\frac{1}{4}} \log\left(\frac{a^{6} x \left(\frac{150981161449947136 \, a^{16} b^{8} - 301564036556783616 \, a^{12} b^{11} + 225874706663079936 \, a^{8} b^{14} - 75192259797236736 \, a^{4} b^{17} + 9386635211853201 \, b^{20}}{a^{23}}\right)^{\frac{1}{4}} - {\left(19712 \, a^{4} b^{2} - 9843 \, b^{5}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 4 \, {\left(6144 \, a^{4} x^{4} + 8064 \, a^{3} b x^{3} + 10400 \, a^{2} b^{2} x^{2} - 65280 \, a^{4} b + 32705 \, b^{4} - 20 \, {\left(768 \, a^{5} - 821 \, a b^{3}\right)} x\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{122880 \, a^{5}}"," ",0,"1/122880*(491520*2^(1/4)*a^5*((16*a^16*b^8 - 32*a^12*b^11 + 24*a^8*b^14 - 8*a^4*b^17 + b^20)/a^23)^(1/4)*arctan(1/2*(2^(3/4)*a^17*x*sqrt((sqrt(2)*a^12*x^2*sqrt((16*a^16*b^8 - 32*a^12*b^11 + 24*a^8*b^14 - 8*a^4*b^17 + b^20)/a^23) + (4*a^8*b^4 - 4*a^4*b^7 + b^10)*sqrt(a*x^4 + b*x^3))/x^2)*((16*a^16*b^8 - 32*a^12*b^11 + 24*a^8*b^14 - 8*a^4*b^17 + b^20)/a^23)^(3/4) + 2^(3/4)*(2*a^21*b^2 - a^17*b^5)*(a*x^4 + b*x^3)^(1/4)*((16*a^16*b^8 - 32*a^12*b^11 + 24*a^8*b^14 - 8*a^4*b^17 + b^20)/a^23)^(3/4))/((16*a^16*b^8 - 32*a^12*b^11 + 24*a^8*b^14 - 8*a^4*b^17 + b^20)*x)) + 122880*2^(1/4)*a^5*((16*a^16*b^8 - 32*a^12*b^11 + 24*a^8*b^14 - 8*a^4*b^17 + b^20)/a^23)^(1/4)*log(-(2^(1/4)*a^6*x*((16*a^16*b^8 - 32*a^12*b^11 + 24*a^8*b^14 - 8*a^4*b^17 + b^20)/a^23)^(1/4) + (2*a^4*b^2 - b^5)*(a*x^4 + b*x^3)^(1/4))/x) - 122880*2^(1/4)*a^5*((16*a^16*b^8 - 32*a^12*b^11 + 24*a^8*b^14 - 8*a^4*b^17 + b^20)/a^23)^(1/4)*log((2^(1/4)*a^6*x*((16*a^16*b^8 - 32*a^12*b^11 + 24*a^8*b^14 - 8*a^4*b^17 + b^20)/a^23)^(1/4) - (2*a^4*b^2 - b^5)*(a*x^4 + b*x^3)^(1/4))/x) - 60*a^5*((150981161449947136*a^16*b^8 - 301564036556783616*a^12*b^11 + 225874706663079936*a^8*b^14 - 75192259797236736*a^4*b^17 + 9386635211853201*b^20)/a^23)^(1/4)*arctan((a^17*x*sqrt((a^12*x^2*sqrt((150981161449947136*a^16*b^8 - 301564036556783616*a^12*b^11 + 225874706663079936*a^8*b^14 - 75192259797236736*a^4*b^17 + 9386635211853201*b^20)/a^23) + (388562944*a^8*b^4 - 388050432*a^4*b^7 + 96884649*b^10)*sqrt(a*x^4 + b*x^3))/x^2)*((150981161449947136*a^16*b^8 - 301564036556783616*a^12*b^11 + 225874706663079936*a^8*b^14 - 75192259797236736*a^4*b^17 + 9386635211853201*b^20)/a^23)^(3/4) + (19712*a^21*b^2 - 9843*a^17*b^5)*(a*x^4 + b*x^3)^(1/4)*((150981161449947136*a^16*b^8 - 301564036556783616*a^12*b^11 + 225874706663079936*a^8*b^14 - 75192259797236736*a^4*b^17 + 9386635211853201*b^20)/a^23)^(3/4))/((150981161449947136*a^16*b^8 - 301564036556783616*a^12*b^11 + 225874706663079936*a^8*b^14 - 75192259797236736*a^4*b^17 + 9386635211853201*b^20)*x)) - 15*a^5*((150981161449947136*a^16*b^8 - 301564036556783616*a^12*b^11 + 225874706663079936*a^8*b^14 - 75192259797236736*a^4*b^17 + 9386635211853201*b^20)/a^23)^(1/4)*log(-(a^6*x*((150981161449947136*a^16*b^8 - 301564036556783616*a^12*b^11 + 225874706663079936*a^8*b^14 - 75192259797236736*a^4*b^17 + 9386635211853201*b^20)/a^23)^(1/4) + (19712*a^4*b^2 - 9843*b^5)*(a*x^4 + b*x^3)^(1/4))/x) + 15*a^5*((150981161449947136*a^16*b^8 - 301564036556783616*a^12*b^11 + 225874706663079936*a^8*b^14 - 75192259797236736*a^4*b^17 + 9386635211853201*b^20)/a^23)^(1/4)*log((a^6*x*((150981161449947136*a^16*b^8 - 301564036556783616*a^12*b^11 + 225874706663079936*a^8*b^14 - 75192259797236736*a^4*b^17 + 9386635211853201*b^20)/a^23)^(1/4) - (19712*a^4*b^2 - 9843*b^5)*(a*x^4 + b*x^3)^(1/4))/x) + 4*(6144*a^4*x^4 + 8064*a^3*b*x^3 + 10400*a^2*b^2*x^2 - 65280*a^4*b + 32705*b^4 - 20*(768*a^5 - 821*a*b^3)*x)*(a*x^4 + b*x^3)^(1/4))/a^5","B",0
2812,1,351,0,0.800194," ","integrate((-4*a+b+3*x)*(-b^3+3*b^2*x-3*b*x^2+x^3)/((-a+x)*(-b+x)^2)^(2/3)/(a+b^4*d-(4*b^3*d+1)*x+6*b^2*d*x^2-4*b*d*x^3+d*x^4),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} {\left(d^{2}\right)}^{\frac{1}{6}} d \arctan\left(\frac{\sqrt{3} {\left(d^{2}\right)}^{\frac{1}{6}} {\left({\left(b^{2} d - 2 \, b d x + d x^{2}\right)} {\left(d^{2}\right)}^{\frac{1}{3}} + 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(d^{2}\right)}^{\frac{2}{3}}\right)}}{3 \, {\left(b^{2} d^{2} - 2 \, b d^{2} x + d^{2} x^{2}\right)}}\right) + {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(b^{2} - 2 \, b x + x^{2}\right)} {\left(d^{2}\right)}^{\frac{2}{3}} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d + {\left(b^{4} d - 4 \, b^{3} d x + 6 \, b^{2} d x^{2} - 4 \, b d x^{3} + d x^{4}\right)} {\left(d^{2}\right)}^{\frac{1}{3}}}{b^{4} - 4 \, b^{3} x + 6 \, b^{2} x^{2} - 4 \, b x^{3} + x^{4}}\right) - 2 \, {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(-\frac{{\left(b^{2} - 2 \, b x + x^{2}\right)} {\left(d^{2}\right)}^{\frac{2}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} d}{b^{2} - 2 \, b x + x^{2}}\right)}{2 \, d^{2}}"," ",0,"-1/2*(2*sqrt(3)*(d^2)^(1/6)*d*arctan(1/3*sqrt(3)*(d^2)^(1/6)*((b^2*d - 2*b*d*x + d*x^2)*(d^2)^(1/3) + 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(d^2)^(2/3))/(b^2*d^2 - 2*b*d^2*x + d^2*x^2)) + (d^2)^(2/3)*log(((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(b^2 - 2*b*x + x^2)*(d^2)^(2/3) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d + (b^4*d - 4*b^3*d*x + 6*b^2*d*x^2 - 4*b*d*x^3 + d*x^4)*(d^2)^(1/3))/(b^4 - 4*b^3*x + 6*b^2*x^2 - 4*b*x^3 + x^4)) - 2*(d^2)^(2/3)*log(-((b^2 - 2*b*x + x^2)*(d^2)^(2/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*d)/(b^2 - 2*b*x + x^2)))/d^2","A",0
2813,-1,0,0,0.000000," ","integrate(x^2*(-2+(1+k)*x)/((1-x)*x*(-k*x+1))^(1/3)/(1-(2+2*k)*x+(k^2+4*k+1)*x^2-(2*k^2+2*k)*x^3+(k^2-b)*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2814,1,134,0,0.639023," ","integrate(1/(c+(a*x+(a^2*x^2+b^2)^(1/2))^(1/2)),x, algorithm=""fricas"")","\frac{a c^{2} x + 2 \, b^{2} \log\left(\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}\right) - \sqrt{a^{2} x^{2} + b^{2}} c^{2} - 2 \, {\left(c^{4} + b^{2}\right)} \log\left(c + \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}\right) + 2 \, {\left(c^{3} - a c x + \sqrt{a^{2} x^{2} + b^{2}} c\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}{2 \, a c^{3}}"," ",0,"1/2*(a*c^2*x + 2*b^2*log(sqrt(a*x + sqrt(a^2*x^2 + b^2))) - sqrt(a^2*x^2 + b^2)*c^2 - 2*(c^4 + b^2)*log(c + sqrt(a*x + sqrt(a^2*x^2 + b^2))) + 2*(c^3 - a*c*x + sqrt(a^2*x^2 + b^2)*c)*sqrt(a*x + sqrt(a^2*x^2 + b^2)))/(a*c^3)","A",0
2815,1,236,0,0.505197," ","integrate((-7+x)*(3*x^3-5*x^2+x+1)^(1/3)/(-5+x)/(-1+x)^3,x, algorithm=""fricas"")","-\frac{4 \, \sqrt{3} 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 1\right)} \arctan\left(\frac{\sqrt{3} 2^{\frac{1}{6}} {\left(2^{\frac{5}{6}} {\left(x - 1\right)} + 2 \cdot 2^{\frac{1}{6}} \left(-1\right)^{\frac{2}{3}} {\left(3 \, x^{3} - 5 \, x^{2} + x + 1\right)}^{\frac{1}{3}}\right)}}{6 \, {\left(x - 1\right)}}\right) + 2 \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 1\right)} \log\left(-\frac{2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(3 \, x^{3} - 5 \, x^{2} + x + 1\right)}^{\frac{1}{3}} {\left(x - 1\right)} - 2 \cdot 2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{2} - 2 \, x + 1\right)} - {\left(3 \, x^{3} - 5 \, x^{2} + x + 1\right)}^{\frac{2}{3}}}{x^{2} - 2 \, x + 1}\right) - 4 \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 1\right)} \log\left(\frac{2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x - 1\right)} + {\left(3 \, x^{3} - 5 \, x^{2} + x + 1\right)}^{\frac{1}{3}}}{x - 1}\right) + 3 \, {\left(3 \, x^{3} - 5 \, x^{2} + x + 1\right)}^{\frac{1}{3}} {\left(13 \, x - 1\right)}}{32 \, {\left(x^{2} - 2 \, x + 1\right)}}"," ",0,"-1/32*(4*sqrt(3)*2^(2/3)*(-1)^(1/3)*(x^2 - 2*x + 1)*arctan(1/6*sqrt(3)*2^(1/6)*(2^(5/6)*(x - 1) + 2*2^(1/6)*(-1)^(2/3)*(3*x^3 - 5*x^2 + x + 1)^(1/3))/(x - 1)) + 2*2^(2/3)*(-1)^(1/3)*(x^2 - 2*x + 1)*log(-(2^(2/3)*(-1)^(1/3)*(3*x^3 - 5*x^2 + x + 1)^(1/3)*(x - 1) - 2*2^(1/3)*(-1)^(2/3)*(x^2 - 2*x + 1) - (3*x^3 - 5*x^2 + x + 1)^(2/3))/(x^2 - 2*x + 1)) - 4*2^(2/3)*(-1)^(1/3)*(x^2 - 2*x + 1)*log((2^(2/3)*(-1)^(1/3)*(x - 1) + (3*x^3 - 5*x^2 + x + 1)^(1/3))/(x - 1)) + 3*(3*x^3 - 5*x^2 + x + 1)^(1/3)*(13*x - 1))/(x^2 - 2*x + 1)","A",0
2816,1,959,0,0.524369," ","integrate((a^2*x^2+b^2)/(a^2*x^2-b^2)^3/(a*x^3-b*x^2)^(1/3),x, algorithm=""fricas"")","\left[\frac{826 \cdot 2^{\frac{2}{3}} {\left(a^{5} x^{6} - a^{4} b x^{5} - 2 \, a^{3} b^{2} x^{4} + 2 \, a^{2} b^{3} x^{3} + a b^{4} x^{2} - b^{5} x\right)} a^{\frac{2}{3}} \log\left(-\frac{2^{\frac{1}{3}} a^{\frac{1}{3}} x - {\left(a x^{3} - b x^{2}\right)}^{\frac{1}{3}}}{x}\right) - 413 \cdot 2^{\frac{2}{3}} {\left(a^{5} x^{6} - a^{4} b x^{5} - 2 \, a^{3} b^{2} x^{4} + 2 \, a^{2} b^{3} x^{3} + a b^{4} x^{2} - b^{5} x\right)} a^{\frac{2}{3}} \log\left(\frac{2^{\frac{2}{3}} a^{\frac{2}{3}} x^{2} + 2^{\frac{1}{3}} {\left(a x^{3} - b x^{2}\right)}^{\frac{1}{3}} a^{\frac{1}{3}} x + {\left(a x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) + 2478 \, \sqrt{\frac{1}{6}} {\left(a^{6} x^{6} - a^{5} b x^{5} - 2 \, a^{4} b^{2} x^{4} + 2 \, a^{3} b^{3} x^{3} + a^{2} b^{4} x^{2} - a b^{5} x\right)} \sqrt{-\frac{2^{\frac{1}{3}}}{a^{\frac{2}{3}}}} \log\left(-\frac{4 \, a x^{2} - 3 \cdot 2^{\frac{2}{3}} {\left(a x^{3} - b x^{2}\right)}^{\frac{1}{3}} a^{\frac{2}{3}} x - 2 \, b x - 6 \, \sqrt{\frac{1}{6}} {\left(2^{\frac{1}{3}} a^{\frac{4}{3}} x^{2} + {\left(a x^{3} - b x^{2}\right)}^{\frac{1}{3}} a x - 2^{\frac{2}{3}} {\left(a x^{3} - b x^{2}\right)}^{\frac{2}{3}} a^{\frac{2}{3}}\right)} \sqrt{-\frac{2^{\frac{1}{3}}}{a^{\frac{2}{3}}}}}{a x^{2} + b x}\right) - 6 \, {\left(625 \, a^{5} x^{4} + 67 \, a^{4} b x^{3} - 1503 \, a^{3} b^{2} x^{2} - 91 \, a^{2} b^{3} x + 1190 \, a b^{4}\right)} {\left(a x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{4032 \, {\left(a^{6} b^{4} x^{6} - a^{5} b^{5} x^{5} - 2 \, a^{4} b^{6} x^{4} + 2 \, a^{3} b^{7} x^{3} + a^{2} b^{8} x^{2} - a b^{9} x\right)}}, \frac{826 \cdot 2^{\frac{2}{3}} {\left(a^{5} x^{6} - a^{4} b x^{5} - 2 \, a^{3} b^{2} x^{4} + 2 \, a^{2} b^{3} x^{3} + a b^{4} x^{2} - b^{5} x\right)} a^{\frac{2}{3}} \log\left(-\frac{2^{\frac{1}{3}} a^{\frac{1}{3}} x - {\left(a x^{3} - b x^{2}\right)}^{\frac{1}{3}}}{x}\right) - 413 \cdot 2^{\frac{2}{3}} {\left(a^{5} x^{6} - a^{4} b x^{5} - 2 \, a^{3} b^{2} x^{4} + 2 \, a^{2} b^{3} x^{3} + a b^{4} x^{2} - b^{5} x\right)} a^{\frac{2}{3}} \log\left(\frac{2^{\frac{2}{3}} a^{\frac{2}{3}} x^{2} + 2^{\frac{1}{3}} {\left(a x^{3} - b x^{2}\right)}^{\frac{1}{3}} a^{\frac{1}{3}} x + {\left(a x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) + 4956 \, \sqrt{\frac{1}{6}} {\left(a^{6} x^{6} - a^{5} b x^{5} - 2 \, a^{4} b^{2} x^{4} + 2 \, a^{3} b^{3} x^{3} + a^{2} b^{4} x^{2} - a b^{5} x\right)} \sqrt{\frac{2^{\frac{1}{3}}}{a^{\frac{2}{3}}}} \arctan\left(\frac{\sqrt{\frac{1}{6}} {\left(2^{\frac{1}{3}} a^{\frac{1}{3}} x + 2 \, {\left(a x^{3} - b x^{2}\right)}^{\frac{1}{3}}\right)} \sqrt{\frac{2^{\frac{1}{3}}}{a^{\frac{2}{3}}}}}{x}\right) - 6 \, {\left(625 \, a^{5} x^{4} + 67 \, a^{4} b x^{3} - 1503 \, a^{3} b^{2} x^{2} - 91 \, a^{2} b^{3} x + 1190 \, a b^{4}\right)} {\left(a x^{3} - b x^{2}\right)}^{\frac{2}{3}}}{4032 \, {\left(a^{6} b^{4} x^{6} - a^{5} b^{5} x^{5} - 2 \, a^{4} b^{6} x^{4} + 2 \, a^{3} b^{7} x^{3} + a^{2} b^{8} x^{2} - a b^{9} x\right)}}\right]"," ",0,"[1/4032*(826*2^(2/3)*(a^5*x^6 - a^4*b*x^5 - 2*a^3*b^2*x^4 + 2*a^2*b^3*x^3 + a*b^4*x^2 - b^5*x)*a^(2/3)*log(-(2^(1/3)*a^(1/3)*x - (a*x^3 - b*x^2)^(1/3))/x) - 413*2^(2/3)*(a^5*x^6 - a^4*b*x^5 - 2*a^3*b^2*x^4 + 2*a^2*b^3*x^3 + a*b^4*x^2 - b^5*x)*a^(2/3)*log((2^(2/3)*a^(2/3)*x^2 + 2^(1/3)*(a*x^3 - b*x^2)^(1/3)*a^(1/3)*x + (a*x^3 - b*x^2)^(2/3))/x^2) + 2478*sqrt(1/6)*(a^6*x^6 - a^5*b*x^5 - 2*a^4*b^2*x^4 + 2*a^3*b^3*x^3 + a^2*b^4*x^2 - a*b^5*x)*sqrt(-2^(1/3)/a^(2/3))*log(-(4*a*x^2 - 3*2^(2/3)*(a*x^3 - b*x^2)^(1/3)*a^(2/3)*x - 2*b*x - 6*sqrt(1/6)*(2^(1/3)*a^(4/3)*x^2 + (a*x^3 - b*x^2)^(1/3)*a*x - 2^(2/3)*(a*x^3 - b*x^2)^(2/3)*a^(2/3))*sqrt(-2^(1/3)/a^(2/3)))/(a*x^2 + b*x)) - 6*(625*a^5*x^4 + 67*a^4*b*x^3 - 1503*a^3*b^2*x^2 - 91*a^2*b^3*x + 1190*a*b^4)*(a*x^3 - b*x^2)^(2/3))/(a^6*b^4*x^6 - a^5*b^5*x^5 - 2*a^4*b^6*x^4 + 2*a^3*b^7*x^3 + a^2*b^8*x^2 - a*b^9*x), 1/4032*(826*2^(2/3)*(a^5*x^6 - a^4*b*x^5 - 2*a^3*b^2*x^4 + 2*a^2*b^3*x^3 + a*b^4*x^2 - b^5*x)*a^(2/3)*log(-(2^(1/3)*a^(1/3)*x - (a*x^3 - b*x^2)^(1/3))/x) - 413*2^(2/3)*(a^5*x^6 - a^4*b*x^5 - 2*a^3*b^2*x^4 + 2*a^2*b^3*x^3 + a*b^4*x^2 - b^5*x)*a^(2/3)*log((2^(2/3)*a^(2/3)*x^2 + 2^(1/3)*(a*x^3 - b*x^2)^(1/3)*a^(1/3)*x + (a*x^3 - b*x^2)^(2/3))/x^2) + 4956*sqrt(1/6)*(a^6*x^6 - a^5*b*x^5 - 2*a^4*b^2*x^4 + 2*a^3*b^3*x^3 + a^2*b^4*x^2 - a*b^5*x)*sqrt(2^(1/3)/a^(2/3))*arctan(sqrt(1/6)*(2^(1/3)*a^(1/3)*x + 2*(a*x^3 - b*x^2)^(1/3))*sqrt(2^(1/3)/a^(2/3))/x) - 6*(625*a^5*x^4 + 67*a^4*b*x^3 - 1503*a^3*b^2*x^2 - 91*a^2*b^3*x + 1190*a*b^4)*(a*x^3 - b*x^2)^(2/3))/(a^6*b^4*x^6 - a^5*b^5*x^5 - 2*a^4*b^6*x^4 + 2*a^3*b^7*x^3 + a^2*b^8*x^2 - a*b^9*x)]","A",0
2817,1,781,0,0.537431," ","integrate((c*x+d)/(c*x-d)/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, a b^{2} c \sqrt{-\frac{b^{2} c^{3} \sqrt{\frac{b^{2} c^{2} d^{4} + a^{2} d^{6}}{b^{4} c^{6}}} + a d^{3}}{b^{2} c^{3}}} \log\left(32 \, \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} d^{3} + 32 \, {\left(b^{2} c^{3} \sqrt{\frac{b^{2} c^{2} d^{4} + a^{2} d^{6}}{b^{4} c^{6}}} - a d^{3}\right)} \sqrt{-\frac{b^{2} c^{3} \sqrt{\frac{b^{2} c^{2} d^{4} + a^{2} d^{6}}{b^{4} c^{6}}} + a d^{3}}{b^{2} c^{3}}}\right) - 3 \, a b^{2} c \sqrt{-\frac{b^{2} c^{3} \sqrt{\frac{b^{2} c^{2} d^{4} + a^{2} d^{6}}{b^{4} c^{6}}} + a d^{3}}{b^{2} c^{3}}} \log\left(32 \, \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} d^{3} - 32 \, {\left(b^{2} c^{3} \sqrt{\frac{b^{2} c^{2} d^{4} + a^{2} d^{6}}{b^{4} c^{6}}} - a d^{3}\right)} \sqrt{-\frac{b^{2} c^{3} \sqrt{\frac{b^{2} c^{2} d^{4} + a^{2} d^{6}}{b^{4} c^{6}}} + a d^{3}}{b^{2} c^{3}}}\right) - 3 \, a b^{2} c \sqrt{\frac{b^{2} c^{3} \sqrt{\frac{b^{2} c^{2} d^{4} + a^{2} d^{6}}{b^{4} c^{6}}} - a d^{3}}{b^{2} c^{3}}} \log\left(32 \, \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} d^{3} + 32 \, {\left(b^{2} c^{3} \sqrt{\frac{b^{2} c^{2} d^{4} + a^{2} d^{6}}{b^{4} c^{6}}} + a d^{3}\right)} \sqrt{\frac{b^{2} c^{3} \sqrt{\frac{b^{2} c^{2} d^{4} + a^{2} d^{6}}{b^{4} c^{6}}} - a d^{3}}{b^{2} c^{3}}}\right) + 3 \, a b^{2} c \sqrt{\frac{b^{2} c^{3} \sqrt{\frac{b^{2} c^{2} d^{4} + a^{2} d^{6}}{b^{4} c^{6}}} - a d^{3}}{b^{2} c^{3}}} \log\left(32 \, \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} d^{3} - 32 \, {\left(b^{2} c^{3} \sqrt{\frac{b^{2} c^{2} d^{4} + a^{2} d^{6}}{b^{4} c^{6}}} + a d^{3}\right)} \sqrt{\frac{b^{2} c^{3} \sqrt{\frac{b^{2} c^{2} d^{4} + a^{2} d^{6}}{b^{4} c^{6}}} - a d^{3}}{b^{2} c^{3}}}\right) - {\left(a^{2} c x^{2} + 6 \, a^{2} d x - b^{2} c - \sqrt{a^{2} x^{2} + b^{2}} {\left(a c x + 6 \, a d\right)}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}\right)}}{3 \, a b^{2} c}"," ",0,"2/3*(3*a*b^2*c*sqrt(-(b^2*c^3*sqrt((b^2*c^2*d^4 + a^2*d^6)/(b^4*c^6)) + a*d^3)/(b^2*c^3))*log(32*sqrt(a*x + sqrt(a^2*x^2 + b^2))*d^3 + 32*(b^2*c^3*sqrt((b^2*c^2*d^4 + a^2*d^6)/(b^4*c^6)) - a*d^3)*sqrt(-(b^2*c^3*sqrt((b^2*c^2*d^4 + a^2*d^6)/(b^4*c^6)) + a*d^3)/(b^2*c^3))) - 3*a*b^2*c*sqrt(-(b^2*c^3*sqrt((b^2*c^2*d^4 + a^2*d^6)/(b^4*c^6)) + a*d^3)/(b^2*c^3))*log(32*sqrt(a*x + sqrt(a^2*x^2 + b^2))*d^3 - 32*(b^2*c^3*sqrt((b^2*c^2*d^4 + a^2*d^6)/(b^4*c^6)) - a*d^3)*sqrt(-(b^2*c^3*sqrt((b^2*c^2*d^4 + a^2*d^6)/(b^4*c^6)) + a*d^3)/(b^2*c^3))) - 3*a*b^2*c*sqrt((b^2*c^3*sqrt((b^2*c^2*d^4 + a^2*d^6)/(b^4*c^6)) - a*d^3)/(b^2*c^3))*log(32*sqrt(a*x + sqrt(a^2*x^2 + b^2))*d^3 + 32*(b^2*c^3*sqrt((b^2*c^2*d^4 + a^2*d^6)/(b^4*c^6)) + a*d^3)*sqrt((b^2*c^3*sqrt((b^2*c^2*d^4 + a^2*d^6)/(b^4*c^6)) - a*d^3)/(b^2*c^3))) + 3*a*b^2*c*sqrt((b^2*c^3*sqrt((b^2*c^2*d^4 + a^2*d^6)/(b^4*c^6)) - a*d^3)/(b^2*c^3))*log(32*sqrt(a*x + sqrt(a^2*x^2 + b^2))*d^3 - 32*(b^2*c^3*sqrt((b^2*c^2*d^4 + a^2*d^6)/(b^4*c^6)) + a*d^3)*sqrt((b^2*c^3*sqrt((b^2*c^2*d^4 + a^2*d^6)/(b^4*c^6)) - a*d^3)/(b^2*c^3))) - (a^2*c*x^2 + 6*a^2*d*x - b^2*c - sqrt(a^2*x^2 + b^2)*(a*c*x + 6*a*d))*sqrt(a*x + sqrt(a^2*x^2 + b^2)))/(a*b^2*c)","B",0
2818,1,6476,0,68.832151," ","integrate((a*x^4-b*x^3)^(1/4)/(-2*c*x+x^2-d),x, algorithm=""fricas"")","-2 \, \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d + {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left({\left({\left(4 \, a c^{9} - 2 \, b c^{8} + {\left(3 \, a c - b\right)} d^{4} + {\left(13 \, a c^{3} - 5 \, b c^{2}\right)} d^{3} + 3 \, {\left(7 \, a c^{5} - 3 \, b c^{4}\right)} d^{2} + {\left(15 \, a c^{7} - 7 \, b c^{6}\right)} d\right)} x \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}} - {\left(32 \, a^{2} c^{9} - 32 \, a b c^{8} + 8 \, b^{2} c^{7} + {\left(4 \, a^{2} c - a b\right)} d^{4} + 2 \, {\left(16 \, a^{2} c^{3} - 9 \, a b c^{2} + b^{2} c\right)} d^{3} + {\left(84 \, a^{2} c^{5} - 65 \, a b c^{4} + 12 \, b^{2} c^{3}\right)} d^{2} + 2 \, {\left(44 \, a^{2} c^{7} - 40 \, a b c^{6} + 9 \, b^{2} c^{5}\right)} d\right)} x\right)} \sqrt{\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d + {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}} \sqrt{\frac{{\left({\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{4} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d^{3} + 16 \, {\left(4 \, a^{2} c^{6} - 4 \, a b c^{5} + b^{2} c^{4}\right)} d^{2}\right)} \sqrt{a x^{4} - b x^{3}} - {\left(2 \, {\left(8 \, a c^{10} - 4 \, b c^{9} + {\left(4 \, a c^{2} - b c\right)} d^{4} + {\left(20 \, a c^{4} - 7 \, b c^{3}\right)} d^{3} + 3 \, {\left(12 \, a c^{6} - 5 \, b c^{5}\right)} d^{2} + {\left(28 \, a c^{8} - 13 \, b c^{7}\right)} d\right)} x^{2} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}} - {\left(128 \, a^{2} c^{10} - 128 \, a b c^{9} + 32 \, b^{2} c^{8} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{4} + {\left(112 \, a^{2} c^{4} - 72 \, a b c^{3} + 11 \, b^{2} c^{2}\right)} d^{3} + 2 \, {\left(144 \, a^{2} c^{6} - 112 \, a b c^{5} + 21 \, b^{2} c^{4}\right)} d^{2} + 32 \, {\left(10 \, a^{2} c^{8} - 9 \, a b c^{7} + 2 \, b^{2} c^{6}\right)} d\right)} x^{2}\right)} \sqrt{\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d + {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}}}{x^{2}}} + {\left({\left(16 \, a^{3} c^{2} - 8 \, a^{2} b c + a b^{2}\right)} d^{6} + 2 \, {\left(80 \, a^{3} c^{4} - 64 \, a^{2} b c^{3} + 15 \, a b^{2} c^{2} - b^{3} c\right)} d^{5} + {\left(592 \, a^{3} c^{6} - 616 \, a^{2} b c^{5} + 201 \, a b^{2} c^{4} - 20 \, b^{3} c^{3}\right)} d^{4} + 2 \, {\left(512 \, a^{3} c^{8} - 632 \, a^{2} b c^{7} + 254 \, a b^{2} c^{6} - 33 \, b^{3} c^{5}\right)} d^{3} + 16 \, {\left(52 \, a^{3} c^{10} - 72 \, a^{2} b c^{9} + 33 \, a b^{2} c^{8} - 5 \, b^{3} c^{7}\right)} d^{2} + 32 \, {\left(8 \, a^{3} c^{12} - 12 \, a^{2} b c^{11} + 6 \, a b^{2} c^{10} - b^{3} c^{9}\right)} d - {\left({\left(12 \, a^{2} c^{2} - 7 \, a b c + b^{2}\right)} d^{6} + {\left(76 \, a^{2} c^{4} - 53 \, a b c^{3} + 9 \, b^{2} c^{2}\right)} d^{5} + {\left(188 \, a^{2} c^{6} - 149 \, a b c^{5} + 29 \, b^{2} c^{4}\right)} d^{4} + {\left(228 \, a^{2} c^{8} - 199 \, a b c^{7} + 43 \, b^{2} c^{6}\right)} d^{3} + 2 \, {\left(68 \, a^{2} c^{10} - 64 \, a b c^{9} + 15 \, b^{2} c^{8}\right)} d^{2} + 8 \, {\left(4 \, a^{2} c^{12} - 4 \, a b c^{11} + b^{2} c^{10}\right)} d\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}\right)} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} \sqrt{\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d + {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}}\right)} \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d + {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{1}{4}}}{{\left({\left(16 \, a^{4} c^{2} - 8 \, a^{3} b c + a^{2} b^{2}\right)} d^{6} + {\left(64 \, a^{4} c^{4} - 16 \, a^{3} b c^{3} - 24 \, a^{2} b^{2} c^{2} + 10 \, a b^{3} c - b^{4}\right)} d^{5} + 8 \, {\left(8 \, a^{4} c^{6} + 8 \, a^{3} b c^{5} - 18 \, a^{2} b^{2} c^{4} + 8 \, a b^{3} c^{3} - b^{4} c^{2}\right)} d^{4} + 16 \, {\left(8 \, a^{3} b c^{7} - 12 \, a^{2} b^{2} c^{6} + 6 \, a b^{3} c^{5} - b^{4} c^{4}\right)} d^{3}\right)} x}\right) + 2 \, \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d - {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left({\left(4 \, a c^{9} - 2 \, b c^{8} + {\left(3 \, a c - b\right)} d^{4} + {\left(13 \, a c^{3} - 5 \, b c^{2}\right)} d^{3} + 3 \, {\left(7 \, a c^{5} - 3 \, b c^{4}\right)} d^{2} + {\left(15 \, a c^{7} - 7 \, b c^{6}\right)} d\right)} x \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}} + {\left(32 \, a^{2} c^{9} - 32 \, a b c^{8} + 8 \, b^{2} c^{7} + {\left(4 \, a^{2} c - a b\right)} d^{4} + 2 \, {\left(16 \, a^{2} c^{3} - 9 \, a b c^{2} + b^{2} c\right)} d^{3} + {\left(84 \, a^{2} c^{5} - 65 \, a b c^{4} + 12 \, b^{2} c^{3}\right)} d^{2} + 2 \, {\left(44 \, a^{2} c^{7} - 40 \, a b c^{6} + 9 \, b^{2} c^{5}\right)} d\right)} x\right)} \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d - {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{3}{4}} \sqrt{\frac{{\left({\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{4} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d^{3} + 16 \, {\left(4 \, a^{2} c^{6} - 4 \, a b c^{5} + b^{2} c^{4}\right)} d^{2}\right)} \sqrt{a x^{4} - b x^{3}} + {\left(2 \, {\left(8 \, a c^{10} - 4 \, b c^{9} + {\left(4 \, a c^{2} - b c\right)} d^{4} + {\left(20 \, a c^{4} - 7 \, b c^{3}\right)} d^{3} + 3 \, {\left(12 \, a c^{6} - 5 \, b c^{5}\right)} d^{2} + {\left(28 \, a c^{8} - 13 \, b c^{7}\right)} d\right)} x^{2} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}} + {\left(128 \, a^{2} c^{10} - 128 \, a b c^{9} + 32 \, b^{2} c^{8} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{4} + {\left(112 \, a^{2} c^{4} - 72 \, a b c^{3} + 11 \, b^{2} c^{2}\right)} d^{3} + 2 \, {\left(144 \, a^{2} c^{6} - 112 \, a b c^{5} + 21 \, b^{2} c^{4}\right)} d^{2} + 32 \, {\left(10 \, a^{2} c^{8} - 9 \, a b c^{7} + 2 \, b^{2} c^{6}\right)} d\right)} x^{2}\right)} \sqrt{\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d - {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}}}{x^{2}}} - {\left({\left(16 \, a^{3} c^{2} - 8 \, a^{2} b c + a b^{2}\right)} d^{6} + 2 \, {\left(80 \, a^{3} c^{4} - 64 \, a^{2} b c^{3} + 15 \, a b^{2} c^{2} - b^{3} c\right)} d^{5} + {\left(592 \, a^{3} c^{6} - 616 \, a^{2} b c^{5} + 201 \, a b^{2} c^{4} - 20 \, b^{3} c^{3}\right)} d^{4} + 2 \, {\left(512 \, a^{3} c^{8} - 632 \, a^{2} b c^{7} + 254 \, a b^{2} c^{6} - 33 \, b^{3} c^{5}\right)} d^{3} + 16 \, {\left(52 \, a^{3} c^{10} - 72 \, a^{2} b c^{9} + 33 \, a b^{2} c^{8} - 5 \, b^{3} c^{7}\right)} d^{2} + 32 \, {\left(8 \, a^{3} c^{12} - 12 \, a^{2} b c^{11} + 6 \, a b^{2} c^{10} - b^{3} c^{9}\right)} d + {\left({\left(12 \, a^{2} c^{2} - 7 \, a b c + b^{2}\right)} d^{6} + {\left(76 \, a^{2} c^{4} - 53 \, a b c^{3} + 9 \, b^{2} c^{2}\right)} d^{5} + {\left(188 \, a^{2} c^{6} - 149 \, a b c^{5} + 29 \, b^{2} c^{4}\right)} d^{4} + {\left(228 \, a^{2} c^{8} - 199 \, a b c^{7} + 43 \, b^{2} c^{6}\right)} d^{3} + 2 \, {\left(68 \, a^{2} c^{10} - 64 \, a b c^{9} + 15 \, b^{2} c^{8}\right)} d^{2} + 8 \, {\left(4 \, a^{2} c^{12} - 4 \, a b c^{11} + b^{2} c^{10}\right)} d\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}\right)} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d - {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{3}{4}}}{{\left({\left(16 \, a^{4} c^{2} - 8 \, a^{3} b c + a^{2} b^{2}\right)} d^{6} + {\left(64 \, a^{4} c^{4} - 16 \, a^{3} b c^{3} - 24 \, a^{2} b^{2} c^{2} + 10 \, a b^{3} c - b^{4}\right)} d^{5} + 8 \, {\left(8 \, a^{4} c^{6} + 8 \, a^{3} b c^{5} - 18 \, a^{2} b^{2} c^{4} + 8 \, a b^{3} c^{3} - b^{4} c^{2}\right)} d^{4} + 16 \, {\left(8 \, a^{3} b c^{7} - 12 \, a^{2} b^{2} c^{6} + 6 \, a b^{3} c^{5} - b^{4} c^{4}\right)} d^{3}\right)} x}\right) - 4 \, a^{\frac{1}{4}} \arctan\left(\frac{a^{\frac{3}{4}} x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} - b x^{3}}}{x^{2}}} - {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} a^{\frac{3}{4}}}{a x}\right) + \frac{1}{2} \, \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d + {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{1}{4}} \log\left(\frac{{\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} {\left({\left(4 \, a c - b\right)} d^{2} + 4 \, {\left(2 \, a c^{3} - b c^{2}\right)} d\right)} + {\left({\left(c^{5} + 2 \, c^{3} d + c d^{2}\right)} x \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}} - {\left(8 \, a c^{5} - 4 \, b c^{4} + {\left(4 \, a c - b\right)} d^{2} + {\left(12 \, a c^{3} - 5 \, b c^{2}\right)} d\right)} x\right)} \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d + {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d + {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{1}{4}} \log\left(\frac{{\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} {\left({\left(4 \, a c - b\right)} d^{2} + 4 \, {\left(2 \, a c^{3} - b c^{2}\right)} d\right)} - {\left({\left(c^{5} + 2 \, c^{3} d + c d^{2}\right)} x \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}} - {\left(8 \, a c^{5} - 4 \, b c^{4} + {\left(4 \, a c - b\right)} d^{2} + {\left(12 \, a c^{3} - 5 \, b c^{2}\right)} d\right)} x\right)} \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d + {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d - {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{1}{4}} \log\left(\frac{{\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} {\left({\left(4 \, a c - b\right)} d^{2} + 4 \, {\left(2 \, a c^{3} - b c^{2}\right)} d\right)} + {\left({\left(c^{5} + 2 \, c^{3} d + c d^{2}\right)} x \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}} + {\left(8 \, a c^{5} - 4 \, b c^{4} + {\left(4 \, a c - b\right)} d^{2} + {\left(12 \, a c^{3} - 5 \, b c^{2}\right)} d\right)} x\right)} \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d - {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d - {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{1}{4}} \log\left(\frac{{\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} {\left({\left(4 \, a c - b\right)} d^{2} + 4 \, {\left(2 \, a c^{3} - b c^{2}\right)} d\right)} - {\left({\left(c^{5} + 2 \, c^{3} d + c d^{2}\right)} x \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}} + {\left(8 \, a c^{5} - 4 \, b c^{4} + {\left(4 \, a c - b\right)} d^{2} + {\left(12 \, a c^{3} - 5 \, b c^{2}\right)} d\right)} x\right)} \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d - {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{1}{4}}}{x}\right) + a^{\frac{1}{4}} \log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - a^{\frac{1}{4}} \log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-2*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d + (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(1/4)*arctan((((4*a*c^9 - 2*b*c^8 + (3*a*c - b)*d^4 + (13*a*c^3 - 5*b*c^2)*d^3 + 3*(7*a*c^5 - 3*b*c^4)*d^2 + (15*a*c^7 - 7*b*c^6)*d)*x*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)) - (32*a^2*c^9 - 32*a*b*c^8 + 8*b^2*c^7 + (4*a^2*c - a*b)*d^4 + 2*(16*a^2*c^3 - 9*a*b*c^2 + b^2*c)*d^3 + (84*a^2*c^5 - 65*a*b*c^4 + 12*b^2*c^3)*d^2 + 2*(44*a^2*c^7 - 40*a*b*c^6 + 9*b^2*c^5)*d)*x)*sqrt((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d + (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))*sqrt((((16*a^2*c^2 - 8*a*b*c + b^2)*d^4 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d^3 + 16*(4*a^2*c^6 - 4*a*b*c^5 + b^2*c^4)*d^2)*sqrt(a*x^4 - b*x^3) - (2*(8*a*c^10 - 4*b*c^9 + (4*a*c^2 - b*c)*d^4 + (20*a*c^4 - 7*b*c^3)*d^3 + 3*(12*a*c^6 - 5*b*c^5)*d^2 + (28*a*c^8 - 13*b*c^7)*d)*x^2*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)) - (128*a^2*c^10 - 128*a*b*c^9 + 32*b^2*c^8 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^4 + (112*a^2*c^4 - 72*a*b*c^3 + 11*b^2*c^2)*d^3 + 2*(144*a^2*c^6 - 112*a*b*c^5 + 21*b^2*c^4)*d^2 + 32*(10*a^2*c^8 - 9*a*b*c^7 + 2*b^2*c^6)*d)*x^2)*sqrt((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d + (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2)))/x^2) + ((16*a^3*c^2 - 8*a^2*b*c + a*b^2)*d^6 + 2*(80*a^3*c^4 - 64*a^2*b*c^3 + 15*a*b^2*c^2 - b^3*c)*d^5 + (592*a^3*c^6 - 616*a^2*b*c^5 + 201*a*b^2*c^4 - 20*b^3*c^3)*d^4 + 2*(512*a^3*c^8 - 632*a^2*b*c^7 + 254*a*b^2*c^6 - 33*b^3*c^5)*d^3 + 16*(52*a^3*c^10 - 72*a^2*b*c^9 + 33*a*b^2*c^8 - 5*b^3*c^7)*d^2 + 32*(8*a^3*c^12 - 12*a^2*b*c^11 + 6*a*b^2*c^10 - b^3*c^9)*d - ((12*a^2*c^2 - 7*a*b*c + b^2)*d^6 + (76*a^2*c^4 - 53*a*b*c^3 + 9*b^2*c^2)*d^5 + (188*a^2*c^6 - 149*a*b*c^5 + 29*b^2*c^4)*d^4 + (228*a^2*c^8 - 199*a*b*c^7 + 43*b^2*c^6)*d^3 + 2*(68*a^2*c^10 - 64*a*b*c^9 + 15*b^2*c^8)*d^2 + 8*(4*a^2*c^12 - 4*a*b*c^11 + b^2*c^10)*d)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))*(a*x^4 - b*x^3)^(1/4)*sqrt((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d + (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2)))*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d + (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(1/4)/(((16*a^4*c^2 - 8*a^3*b*c + a^2*b^2)*d^6 + (64*a^4*c^4 - 16*a^3*b*c^3 - 24*a^2*b^2*c^2 + 10*a*b^3*c - b^4)*d^5 + 8*(8*a^4*c^6 + 8*a^3*b*c^5 - 18*a^2*b^2*c^4 + 8*a*b^3*c^3 - b^4*c^2)*d^4 + 16*(8*a^3*b*c^7 - 12*a^2*b^2*c^6 + 6*a*b^3*c^5 - b^4*c^4)*d^3)*x)) + 2*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d - (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(1/4)*arctan((((4*a*c^9 - 2*b*c^8 + (3*a*c - b)*d^4 + (13*a*c^3 - 5*b*c^2)*d^3 + 3*(7*a*c^5 - 3*b*c^4)*d^2 + (15*a*c^7 - 7*b*c^6)*d)*x*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)) + (32*a^2*c^9 - 32*a*b*c^8 + 8*b^2*c^7 + (4*a^2*c - a*b)*d^4 + 2*(16*a^2*c^3 - 9*a*b*c^2 + b^2*c)*d^3 + (84*a^2*c^5 - 65*a*b*c^4 + 12*b^2*c^3)*d^2 + 2*(44*a^2*c^7 - 40*a*b*c^6 + 9*b^2*c^5)*d)*x)*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d - (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(3/4)*sqrt((((16*a^2*c^2 - 8*a*b*c + b^2)*d^4 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d^3 + 16*(4*a^2*c^6 - 4*a*b*c^5 + b^2*c^4)*d^2)*sqrt(a*x^4 - b*x^3) + (2*(8*a*c^10 - 4*b*c^9 + (4*a*c^2 - b*c)*d^4 + (20*a*c^4 - 7*b*c^3)*d^3 + 3*(12*a*c^6 - 5*b*c^5)*d^2 + (28*a*c^8 - 13*b*c^7)*d)*x^2*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)) + (128*a^2*c^10 - 128*a*b*c^9 + 32*b^2*c^8 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^4 + (112*a^2*c^4 - 72*a*b*c^3 + 11*b^2*c^2)*d^3 + 2*(144*a^2*c^6 - 112*a*b*c^5 + 21*b^2*c^4)*d^2 + 32*(10*a^2*c^8 - 9*a*b*c^7 + 2*b^2*c^6)*d)*x^2)*sqrt((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d - (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2)))/x^2) - ((16*a^3*c^2 - 8*a^2*b*c + a*b^2)*d^6 + 2*(80*a^3*c^4 - 64*a^2*b*c^3 + 15*a*b^2*c^2 - b^3*c)*d^5 + (592*a^3*c^6 - 616*a^2*b*c^5 + 201*a*b^2*c^4 - 20*b^3*c^3)*d^4 + 2*(512*a^3*c^8 - 632*a^2*b*c^7 + 254*a*b^2*c^6 - 33*b^3*c^5)*d^3 + 16*(52*a^3*c^10 - 72*a^2*b*c^9 + 33*a*b^2*c^8 - 5*b^3*c^7)*d^2 + 32*(8*a^3*c^12 - 12*a^2*b*c^11 + 6*a*b^2*c^10 - b^3*c^9)*d + ((12*a^2*c^2 - 7*a*b*c + b^2)*d^6 + (76*a^2*c^4 - 53*a*b*c^3 + 9*b^2*c^2)*d^5 + (188*a^2*c^6 - 149*a*b*c^5 + 29*b^2*c^4)*d^4 + (228*a^2*c^8 - 199*a*b*c^7 + 43*b^2*c^6)*d^3 + 2*(68*a^2*c^10 - 64*a*b*c^9 + 15*b^2*c^8)*d^2 + 8*(4*a^2*c^12 - 4*a*b*c^11 + b^2*c^10)*d)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))*(a*x^4 - b*x^3)^(1/4)*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d - (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(3/4))/(((16*a^4*c^2 - 8*a^3*b*c + a^2*b^2)*d^6 + (64*a^4*c^4 - 16*a^3*b*c^3 - 24*a^2*b^2*c^2 + 10*a*b^3*c - b^4)*d^5 + 8*(8*a^4*c^6 + 8*a^3*b*c^5 - 18*a^2*b^2*c^4 + 8*a*b^3*c^3 - b^4*c^2)*d^4 + 16*(8*a^3*b*c^7 - 12*a^2*b^2*c^6 + 6*a*b^3*c^5 - b^4*c^4)*d^3)*x)) - 4*a^(1/4)*arctan((a^(3/4)*x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 - b*x^3))/x^2) - (a*x^4 - b*x^3)^(1/4)*a^(3/4))/(a*x)) + 1/2*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d + (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(1/4)*log(((a*x^4 - b*x^3)^(1/4)*((4*a*c - b)*d^2 + 4*(2*a*c^3 - b*c^2)*d) + ((c^5 + 2*c^3*d + c*d^2)*x*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)) - (8*a*c^5 - 4*b*c^4 + (4*a*c - b)*d^2 + (12*a*c^3 - 5*b*c^2)*d)*x)*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d + (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(1/4))/x) - 1/2*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d + (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(1/4)*log(((a*x^4 - b*x^3)^(1/4)*((4*a*c - b)*d^2 + 4*(2*a*c^3 - b*c^2)*d) - ((c^5 + 2*c^3*d + c*d^2)*x*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)) - (8*a*c^5 - 4*b*c^4 + (4*a*c - b)*d^2 + (12*a*c^3 - 5*b*c^2)*d)*x)*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d + (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(1/4))/x) - 1/2*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d - (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(1/4)*log(((a*x^4 - b*x^3)^(1/4)*((4*a*c - b)*d^2 + 4*(2*a*c^3 - b*c^2)*d) + ((c^5 + 2*c^3*d + c*d^2)*x*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)) + (8*a*c^5 - 4*b*c^4 + (4*a*c - b)*d^2 + (12*a*c^3 - 5*b*c^2)*d)*x)*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d - (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(1/4))/x) + 1/2*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d - (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(1/4)*log(((a*x^4 - b*x^3)^(1/4)*((4*a*c - b)*d^2 + 4*(2*a*c^3 - b*c^2)*d) - ((c^5 + 2*c^3*d + c*d^2)*x*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)) + (8*a*c^5 - 4*b*c^4 + (4*a*c - b)*d^2 + (12*a*c^3 - 5*b*c^2)*d)*x)*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d - (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(1/4))/x) + a^(1/4)*log((a^(1/4)*x + (a*x^4 - b*x^3)^(1/4))/x) - a^(1/4)*log(-(a^(1/4)*x - (a*x^4 - b*x^3)^(1/4))/x)","B",0
2819,1,6476,0,68.117563," ","integrate((a*x^4-b*x^3)^(1/4)/(-2*c*x+x^2-d),x, algorithm=""fricas"")","-2 \, \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d + {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left({\left({\left(4 \, a c^{9} - 2 \, b c^{8} + {\left(3 \, a c - b\right)} d^{4} + {\left(13 \, a c^{3} - 5 \, b c^{2}\right)} d^{3} + 3 \, {\left(7 \, a c^{5} - 3 \, b c^{4}\right)} d^{2} + {\left(15 \, a c^{7} - 7 \, b c^{6}\right)} d\right)} x \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}} - {\left(32 \, a^{2} c^{9} - 32 \, a b c^{8} + 8 \, b^{2} c^{7} + {\left(4 \, a^{2} c - a b\right)} d^{4} + 2 \, {\left(16 \, a^{2} c^{3} - 9 \, a b c^{2} + b^{2} c\right)} d^{3} + {\left(84 \, a^{2} c^{5} - 65 \, a b c^{4} + 12 \, b^{2} c^{3}\right)} d^{2} + 2 \, {\left(44 \, a^{2} c^{7} - 40 \, a b c^{6} + 9 \, b^{2} c^{5}\right)} d\right)} x\right)} \sqrt{\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d + {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}} \sqrt{\frac{{\left({\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{4} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d^{3} + 16 \, {\left(4 \, a^{2} c^{6} - 4 \, a b c^{5} + b^{2} c^{4}\right)} d^{2}\right)} \sqrt{a x^{4} - b x^{3}} - {\left(2 \, {\left(8 \, a c^{10} - 4 \, b c^{9} + {\left(4 \, a c^{2} - b c\right)} d^{4} + {\left(20 \, a c^{4} - 7 \, b c^{3}\right)} d^{3} + 3 \, {\left(12 \, a c^{6} - 5 \, b c^{5}\right)} d^{2} + {\left(28 \, a c^{8} - 13 \, b c^{7}\right)} d\right)} x^{2} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}} - {\left(128 \, a^{2} c^{10} - 128 \, a b c^{9} + 32 \, b^{2} c^{8} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{4} + {\left(112 \, a^{2} c^{4} - 72 \, a b c^{3} + 11 \, b^{2} c^{2}\right)} d^{3} + 2 \, {\left(144 \, a^{2} c^{6} - 112 \, a b c^{5} + 21 \, b^{2} c^{4}\right)} d^{2} + 32 \, {\left(10 \, a^{2} c^{8} - 9 \, a b c^{7} + 2 \, b^{2} c^{6}\right)} d\right)} x^{2}\right)} \sqrt{\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d + {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}}}{x^{2}}} + {\left({\left(16 \, a^{3} c^{2} - 8 \, a^{2} b c + a b^{2}\right)} d^{6} + 2 \, {\left(80 \, a^{3} c^{4} - 64 \, a^{2} b c^{3} + 15 \, a b^{2} c^{2} - b^{3} c\right)} d^{5} + {\left(592 \, a^{3} c^{6} - 616 \, a^{2} b c^{5} + 201 \, a b^{2} c^{4} - 20 \, b^{3} c^{3}\right)} d^{4} + 2 \, {\left(512 \, a^{3} c^{8} - 632 \, a^{2} b c^{7} + 254 \, a b^{2} c^{6} - 33 \, b^{3} c^{5}\right)} d^{3} + 16 \, {\left(52 \, a^{3} c^{10} - 72 \, a^{2} b c^{9} + 33 \, a b^{2} c^{8} - 5 \, b^{3} c^{7}\right)} d^{2} + 32 \, {\left(8 \, a^{3} c^{12} - 12 \, a^{2} b c^{11} + 6 \, a b^{2} c^{10} - b^{3} c^{9}\right)} d - {\left({\left(12 \, a^{2} c^{2} - 7 \, a b c + b^{2}\right)} d^{6} + {\left(76 \, a^{2} c^{4} - 53 \, a b c^{3} + 9 \, b^{2} c^{2}\right)} d^{5} + {\left(188 \, a^{2} c^{6} - 149 \, a b c^{5} + 29 \, b^{2} c^{4}\right)} d^{4} + {\left(228 \, a^{2} c^{8} - 199 \, a b c^{7} + 43 \, b^{2} c^{6}\right)} d^{3} + 2 \, {\left(68 \, a^{2} c^{10} - 64 \, a b c^{9} + 15 \, b^{2} c^{8}\right)} d^{2} + 8 \, {\left(4 \, a^{2} c^{12} - 4 \, a b c^{11} + b^{2} c^{10}\right)} d\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}\right)} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} \sqrt{\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d + {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}}\right)} \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d + {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{1}{4}}}{{\left({\left(16 \, a^{4} c^{2} - 8 \, a^{3} b c + a^{2} b^{2}\right)} d^{6} + {\left(64 \, a^{4} c^{4} - 16 \, a^{3} b c^{3} - 24 \, a^{2} b^{2} c^{2} + 10 \, a b^{3} c - b^{4}\right)} d^{5} + 8 \, {\left(8 \, a^{4} c^{6} + 8 \, a^{3} b c^{5} - 18 \, a^{2} b^{2} c^{4} + 8 \, a b^{3} c^{3} - b^{4} c^{2}\right)} d^{4} + 16 \, {\left(8 \, a^{3} b c^{7} - 12 \, a^{2} b^{2} c^{6} + 6 \, a b^{3} c^{5} - b^{4} c^{4}\right)} d^{3}\right)} x}\right) + 2 \, \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d - {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left({\left(4 \, a c^{9} - 2 \, b c^{8} + {\left(3 \, a c - b\right)} d^{4} + {\left(13 \, a c^{3} - 5 \, b c^{2}\right)} d^{3} + 3 \, {\left(7 \, a c^{5} - 3 \, b c^{4}\right)} d^{2} + {\left(15 \, a c^{7} - 7 \, b c^{6}\right)} d\right)} x \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}} + {\left(32 \, a^{2} c^{9} - 32 \, a b c^{8} + 8 \, b^{2} c^{7} + {\left(4 \, a^{2} c - a b\right)} d^{4} + 2 \, {\left(16 \, a^{2} c^{3} - 9 \, a b c^{2} + b^{2} c\right)} d^{3} + {\left(84 \, a^{2} c^{5} - 65 \, a b c^{4} + 12 \, b^{2} c^{3}\right)} d^{2} + 2 \, {\left(44 \, a^{2} c^{7} - 40 \, a b c^{6} + 9 \, b^{2} c^{5}\right)} d\right)} x\right)} \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d - {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{3}{4}} \sqrt{\frac{{\left({\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{4} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d^{3} + 16 \, {\left(4 \, a^{2} c^{6} - 4 \, a b c^{5} + b^{2} c^{4}\right)} d^{2}\right)} \sqrt{a x^{4} - b x^{3}} + {\left(2 \, {\left(8 \, a c^{10} - 4 \, b c^{9} + {\left(4 \, a c^{2} - b c\right)} d^{4} + {\left(20 \, a c^{4} - 7 \, b c^{3}\right)} d^{3} + 3 \, {\left(12 \, a c^{6} - 5 \, b c^{5}\right)} d^{2} + {\left(28 \, a c^{8} - 13 \, b c^{7}\right)} d\right)} x^{2} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}} + {\left(128 \, a^{2} c^{10} - 128 \, a b c^{9} + 32 \, b^{2} c^{8} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{4} + {\left(112 \, a^{2} c^{4} - 72 \, a b c^{3} + 11 \, b^{2} c^{2}\right)} d^{3} + 2 \, {\left(144 \, a^{2} c^{6} - 112 \, a b c^{5} + 21 \, b^{2} c^{4}\right)} d^{2} + 32 \, {\left(10 \, a^{2} c^{8} - 9 \, a b c^{7} + 2 \, b^{2} c^{6}\right)} d\right)} x^{2}\right)} \sqrt{\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d - {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}}}{x^{2}}} - {\left({\left(16 \, a^{3} c^{2} - 8 \, a^{2} b c + a b^{2}\right)} d^{6} + 2 \, {\left(80 \, a^{3} c^{4} - 64 \, a^{2} b c^{3} + 15 \, a b^{2} c^{2} - b^{3} c\right)} d^{5} + {\left(592 \, a^{3} c^{6} - 616 \, a^{2} b c^{5} + 201 \, a b^{2} c^{4} - 20 \, b^{3} c^{3}\right)} d^{4} + 2 \, {\left(512 \, a^{3} c^{8} - 632 \, a^{2} b c^{7} + 254 \, a b^{2} c^{6} - 33 \, b^{3} c^{5}\right)} d^{3} + 16 \, {\left(52 \, a^{3} c^{10} - 72 \, a^{2} b c^{9} + 33 \, a b^{2} c^{8} - 5 \, b^{3} c^{7}\right)} d^{2} + 32 \, {\left(8 \, a^{3} c^{12} - 12 \, a^{2} b c^{11} + 6 \, a b^{2} c^{10} - b^{3} c^{9}\right)} d + {\left({\left(12 \, a^{2} c^{2} - 7 \, a b c + b^{2}\right)} d^{6} + {\left(76 \, a^{2} c^{4} - 53 \, a b c^{3} + 9 \, b^{2} c^{2}\right)} d^{5} + {\left(188 \, a^{2} c^{6} - 149 \, a b c^{5} + 29 \, b^{2} c^{4}\right)} d^{4} + {\left(228 \, a^{2} c^{8} - 199 \, a b c^{7} + 43 \, b^{2} c^{6}\right)} d^{3} + 2 \, {\left(68 \, a^{2} c^{10} - 64 \, a b c^{9} + 15 \, b^{2} c^{8}\right)} d^{2} + 8 \, {\left(4 \, a^{2} c^{12} - 4 \, a b c^{11} + b^{2} c^{10}\right)} d\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}\right)} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d - {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{3}{4}}}{{\left({\left(16 \, a^{4} c^{2} - 8 \, a^{3} b c + a^{2} b^{2}\right)} d^{6} + {\left(64 \, a^{4} c^{4} - 16 \, a^{3} b c^{3} - 24 \, a^{2} b^{2} c^{2} + 10 \, a b^{3} c - b^{4}\right)} d^{5} + 8 \, {\left(8 \, a^{4} c^{6} + 8 \, a^{3} b c^{5} - 18 \, a^{2} b^{2} c^{4} + 8 \, a b^{3} c^{3} - b^{4} c^{2}\right)} d^{4} + 16 \, {\left(8 \, a^{3} b c^{7} - 12 \, a^{2} b^{2} c^{6} + 6 \, a b^{3} c^{5} - b^{4} c^{4}\right)} d^{3}\right)} x}\right) - 4 \, a^{\frac{1}{4}} \arctan\left(\frac{a^{\frac{3}{4}} x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} - b x^{3}}}{x^{2}}} - {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} a^{\frac{3}{4}}}{a x}\right) + \frac{1}{2} \, \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d + {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{1}{4}} \log\left(\frac{{\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} {\left({\left(4 \, a c - b\right)} d^{2} + 4 \, {\left(2 \, a c^{3} - b c^{2}\right)} d\right)} + {\left({\left(c^{5} + 2 \, c^{3} d + c d^{2}\right)} x \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}} - {\left(8 \, a c^{5} - 4 \, b c^{4} + {\left(4 \, a c - b\right)} d^{2} + {\left(12 \, a c^{3} - 5 \, b c^{2}\right)} d\right)} x\right)} \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d + {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d + {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{1}{4}} \log\left(\frac{{\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} {\left({\left(4 \, a c - b\right)} d^{2} + 4 \, {\left(2 \, a c^{3} - b c^{2}\right)} d\right)} - {\left({\left(c^{5} + 2 \, c^{3} d + c d^{2}\right)} x \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}} - {\left(8 \, a c^{5} - 4 \, b c^{4} + {\left(4 \, a c - b\right)} d^{2} + {\left(12 \, a c^{3} - 5 \, b c^{2}\right)} d\right)} x\right)} \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d + {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d - {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{1}{4}} \log\left(\frac{{\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} {\left({\left(4 \, a c - b\right)} d^{2} + 4 \, {\left(2 \, a c^{3} - b c^{2}\right)} d\right)} + {\left({\left(c^{5} + 2 \, c^{3} d + c d^{2}\right)} x \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}} + {\left(8 \, a c^{5} - 4 \, b c^{4} + {\left(4 \, a c - b\right)} d^{2} + {\left(12 \, a c^{3} - 5 \, b c^{2}\right)} d\right)} x\right)} \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d - {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d - {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{1}{4}} \log\left(\frac{{\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} {\left({\left(4 \, a c - b\right)} d^{2} + 4 \, {\left(2 \, a c^{3} - b c^{2}\right)} d\right)} - {\left({\left(c^{5} + 2 \, c^{3} d + c d^{2}\right)} x \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}} + {\left(8 \, a c^{5} - 4 \, b c^{4} + {\left(4 \, a c - b\right)} d^{2} + {\left(12 \, a c^{3} - 5 \, b c^{2}\right)} d\right)} x\right)} \left(\frac{8 \, a c^{4} - 4 \, b c^{3} + a d^{2} + {\left(8 \, a c^{2} - 3 \, b c\right)} d - {\left(c^{4} + 2 \, c^{2} d + d^{2}\right)} \sqrt{\frac{64 \, a^{2} c^{6} - 64 \, a b c^{5} + 16 \, b^{2} c^{4} + {\left(16 \, a^{2} c^{2} - 8 \, a b c + b^{2}\right)} d^{2} + 8 \, {\left(8 \, a^{2} c^{4} - 6 \, a b c^{3} + b^{2} c^{2}\right)} d}{c^{6} + 3 \, c^{4} d + 3 \, c^{2} d^{2} + d^{3}}}}{c^{4} + 2 \, c^{2} d + d^{2}}\right)^{\frac{1}{4}}}{x}\right) + a^{\frac{1}{4}} \log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - a^{\frac{1}{4}} \log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"-2*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d + (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(1/4)*arctan((((4*a*c^9 - 2*b*c^8 + (3*a*c - b)*d^4 + (13*a*c^3 - 5*b*c^2)*d^3 + 3*(7*a*c^5 - 3*b*c^4)*d^2 + (15*a*c^7 - 7*b*c^6)*d)*x*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)) - (32*a^2*c^9 - 32*a*b*c^8 + 8*b^2*c^7 + (4*a^2*c - a*b)*d^4 + 2*(16*a^2*c^3 - 9*a*b*c^2 + b^2*c)*d^3 + (84*a^2*c^5 - 65*a*b*c^4 + 12*b^2*c^3)*d^2 + 2*(44*a^2*c^7 - 40*a*b*c^6 + 9*b^2*c^5)*d)*x)*sqrt((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d + (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))*sqrt((((16*a^2*c^2 - 8*a*b*c + b^2)*d^4 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d^3 + 16*(4*a^2*c^6 - 4*a*b*c^5 + b^2*c^4)*d^2)*sqrt(a*x^4 - b*x^3) - (2*(8*a*c^10 - 4*b*c^9 + (4*a*c^2 - b*c)*d^4 + (20*a*c^4 - 7*b*c^3)*d^3 + 3*(12*a*c^6 - 5*b*c^5)*d^2 + (28*a*c^8 - 13*b*c^7)*d)*x^2*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)) - (128*a^2*c^10 - 128*a*b*c^9 + 32*b^2*c^8 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^4 + (112*a^2*c^4 - 72*a*b*c^3 + 11*b^2*c^2)*d^3 + 2*(144*a^2*c^6 - 112*a*b*c^5 + 21*b^2*c^4)*d^2 + 32*(10*a^2*c^8 - 9*a*b*c^7 + 2*b^2*c^6)*d)*x^2)*sqrt((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d + (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2)))/x^2) + ((16*a^3*c^2 - 8*a^2*b*c + a*b^2)*d^6 + 2*(80*a^3*c^4 - 64*a^2*b*c^3 + 15*a*b^2*c^2 - b^3*c)*d^5 + (592*a^3*c^6 - 616*a^2*b*c^5 + 201*a*b^2*c^4 - 20*b^3*c^3)*d^4 + 2*(512*a^3*c^8 - 632*a^2*b*c^7 + 254*a*b^2*c^6 - 33*b^3*c^5)*d^3 + 16*(52*a^3*c^10 - 72*a^2*b*c^9 + 33*a*b^2*c^8 - 5*b^3*c^7)*d^2 + 32*(8*a^3*c^12 - 12*a^2*b*c^11 + 6*a*b^2*c^10 - b^3*c^9)*d - ((12*a^2*c^2 - 7*a*b*c + b^2)*d^6 + (76*a^2*c^4 - 53*a*b*c^3 + 9*b^2*c^2)*d^5 + (188*a^2*c^6 - 149*a*b*c^5 + 29*b^2*c^4)*d^4 + (228*a^2*c^8 - 199*a*b*c^7 + 43*b^2*c^6)*d^3 + 2*(68*a^2*c^10 - 64*a*b*c^9 + 15*b^2*c^8)*d^2 + 8*(4*a^2*c^12 - 4*a*b*c^11 + b^2*c^10)*d)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))*(a*x^4 - b*x^3)^(1/4)*sqrt((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d + (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2)))*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d + (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(1/4)/(((16*a^4*c^2 - 8*a^3*b*c + a^2*b^2)*d^6 + (64*a^4*c^4 - 16*a^3*b*c^3 - 24*a^2*b^2*c^2 + 10*a*b^3*c - b^4)*d^5 + 8*(8*a^4*c^6 + 8*a^3*b*c^5 - 18*a^2*b^2*c^4 + 8*a*b^3*c^3 - b^4*c^2)*d^4 + 16*(8*a^3*b*c^7 - 12*a^2*b^2*c^6 + 6*a*b^3*c^5 - b^4*c^4)*d^3)*x)) + 2*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d - (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(1/4)*arctan((((4*a*c^9 - 2*b*c^8 + (3*a*c - b)*d^4 + (13*a*c^3 - 5*b*c^2)*d^3 + 3*(7*a*c^5 - 3*b*c^4)*d^2 + (15*a*c^7 - 7*b*c^6)*d)*x*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)) + (32*a^2*c^9 - 32*a*b*c^8 + 8*b^2*c^7 + (4*a^2*c - a*b)*d^4 + 2*(16*a^2*c^3 - 9*a*b*c^2 + b^2*c)*d^3 + (84*a^2*c^5 - 65*a*b*c^4 + 12*b^2*c^3)*d^2 + 2*(44*a^2*c^7 - 40*a*b*c^6 + 9*b^2*c^5)*d)*x)*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d - (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(3/4)*sqrt((((16*a^2*c^2 - 8*a*b*c + b^2)*d^4 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d^3 + 16*(4*a^2*c^6 - 4*a*b*c^5 + b^2*c^4)*d^2)*sqrt(a*x^4 - b*x^3) + (2*(8*a*c^10 - 4*b*c^9 + (4*a*c^2 - b*c)*d^4 + (20*a*c^4 - 7*b*c^3)*d^3 + 3*(12*a*c^6 - 5*b*c^5)*d^2 + (28*a*c^8 - 13*b*c^7)*d)*x^2*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)) + (128*a^2*c^10 - 128*a*b*c^9 + 32*b^2*c^8 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^4 + (112*a^2*c^4 - 72*a*b*c^3 + 11*b^2*c^2)*d^3 + 2*(144*a^2*c^6 - 112*a*b*c^5 + 21*b^2*c^4)*d^2 + 32*(10*a^2*c^8 - 9*a*b*c^7 + 2*b^2*c^6)*d)*x^2)*sqrt((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d - (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2)))/x^2) - ((16*a^3*c^2 - 8*a^2*b*c + a*b^2)*d^6 + 2*(80*a^3*c^4 - 64*a^2*b*c^3 + 15*a*b^2*c^2 - b^3*c)*d^5 + (592*a^3*c^6 - 616*a^2*b*c^5 + 201*a*b^2*c^4 - 20*b^3*c^3)*d^4 + 2*(512*a^3*c^8 - 632*a^2*b*c^7 + 254*a*b^2*c^6 - 33*b^3*c^5)*d^3 + 16*(52*a^3*c^10 - 72*a^2*b*c^9 + 33*a*b^2*c^8 - 5*b^3*c^7)*d^2 + 32*(8*a^3*c^12 - 12*a^2*b*c^11 + 6*a*b^2*c^10 - b^3*c^9)*d + ((12*a^2*c^2 - 7*a*b*c + b^2)*d^6 + (76*a^2*c^4 - 53*a*b*c^3 + 9*b^2*c^2)*d^5 + (188*a^2*c^6 - 149*a*b*c^5 + 29*b^2*c^4)*d^4 + (228*a^2*c^8 - 199*a*b*c^7 + 43*b^2*c^6)*d^3 + 2*(68*a^2*c^10 - 64*a*b*c^9 + 15*b^2*c^8)*d^2 + 8*(4*a^2*c^12 - 4*a*b*c^11 + b^2*c^10)*d)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))*(a*x^4 - b*x^3)^(1/4)*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d - (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(3/4))/(((16*a^4*c^2 - 8*a^3*b*c + a^2*b^2)*d^6 + (64*a^4*c^4 - 16*a^3*b*c^3 - 24*a^2*b^2*c^2 + 10*a*b^3*c - b^4)*d^5 + 8*(8*a^4*c^6 + 8*a^3*b*c^5 - 18*a^2*b^2*c^4 + 8*a*b^3*c^3 - b^4*c^2)*d^4 + 16*(8*a^3*b*c^7 - 12*a^2*b^2*c^6 + 6*a*b^3*c^5 - b^4*c^4)*d^3)*x)) - 4*a^(1/4)*arctan((a^(3/4)*x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 - b*x^3))/x^2) - (a*x^4 - b*x^3)^(1/4)*a^(3/4))/(a*x)) + 1/2*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d + (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(1/4)*log(((a*x^4 - b*x^3)^(1/4)*((4*a*c - b)*d^2 + 4*(2*a*c^3 - b*c^2)*d) + ((c^5 + 2*c^3*d + c*d^2)*x*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)) - (8*a*c^5 - 4*b*c^4 + (4*a*c - b)*d^2 + (12*a*c^3 - 5*b*c^2)*d)*x)*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d + (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(1/4))/x) - 1/2*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d + (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(1/4)*log(((a*x^4 - b*x^3)^(1/4)*((4*a*c - b)*d^2 + 4*(2*a*c^3 - b*c^2)*d) - ((c^5 + 2*c^3*d + c*d^2)*x*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)) - (8*a*c^5 - 4*b*c^4 + (4*a*c - b)*d^2 + (12*a*c^3 - 5*b*c^2)*d)*x)*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d + (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(1/4))/x) - 1/2*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d - (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(1/4)*log(((a*x^4 - b*x^3)^(1/4)*((4*a*c - b)*d^2 + 4*(2*a*c^3 - b*c^2)*d) + ((c^5 + 2*c^3*d + c*d^2)*x*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)) + (8*a*c^5 - 4*b*c^4 + (4*a*c - b)*d^2 + (12*a*c^3 - 5*b*c^2)*d)*x)*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d - (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(1/4))/x) + 1/2*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d - (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(1/4)*log(((a*x^4 - b*x^3)^(1/4)*((4*a*c - b)*d^2 + 4*(2*a*c^3 - b*c^2)*d) - ((c^5 + 2*c^3*d + c*d^2)*x*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)) + (8*a*c^5 - 4*b*c^4 + (4*a*c - b)*d^2 + (12*a*c^3 - 5*b*c^2)*d)*x)*((8*a*c^4 - 4*b*c^3 + a*d^2 + (8*a*c^2 - 3*b*c)*d - (c^4 + 2*c^2*d + d^2)*sqrt((64*a^2*c^6 - 64*a*b*c^5 + 16*b^2*c^4 + (16*a^2*c^2 - 8*a*b*c + b^2)*d^2 + 8*(8*a^2*c^4 - 6*a*b*c^3 + b^2*c^2)*d)/(c^6 + 3*c^4*d + 3*c^2*d^2 + d^3)))/(c^4 + 2*c^2*d + d^2))^(1/4))/x) + a^(1/4)*log((a^(1/4)*x + (a*x^4 - b*x^3)^(1/4))/x) - a^(1/4)*log(-(a^(1/4)*x - (a*x^4 - b*x^3)^(1/4))/x)","B",0
2820,-1,0,0,0.000000," ","integrate(x*(k*x-1)*(-1+(-1+2*k)*x)/((1-x)*x*(-k*x+1))^(1/3)/(-1+4*x+(-6+b)*x^2+(-2*b*k+4)*x^3+(b*k^2-1)*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2821,-1,0,0,0.000000," ","integrate((1+(-2+3*k)*x-(4*k^2+k)*x^2+3*k^2*x^3)/((1-x)*x*(-k*x+1))^(1/3)/(-b+(5*b*k+1)*x-(10*b*k^2+1)*x^2+10*b*k^3*x^3-5*b*k^4*x^4+b*k^5*x^5),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2822,1,167,0,1.128019," ","integrate((c*x+d)^2/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(15 \, a^{4} c^{2} x^{4} + 42 \, a^{4} c d x^{3} + 14 \, a^{2} b^{2} c d x + 8 \, b^{4} c^{2} - 35 \, a^{2} b^{2} d^{2} + {\left(a^{2} b^{2} c^{2} + 35 \, a^{4} d^{2}\right)} x^{2} - {\left(15 \, a^{3} c^{2} x^{3} + 42 \, a^{3} c d x^{2} + 28 \, a b^{2} c d + {\left(4 \, a b^{2} c^{2} + 35 \, a^{3} d^{2}\right)} x\right)} \sqrt{a^{2} x^{2} + b^{2}}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}{105 \, a^{3} b^{2}}"," ",0,"-2/105*(15*a^4*c^2*x^4 + 42*a^4*c*d*x^3 + 14*a^2*b^2*c*d*x + 8*b^4*c^2 - 35*a^2*b^2*d^2 + (a^2*b^2*c^2 + 35*a^4*d^2)*x^2 - (15*a^3*c^2*x^3 + 42*a^3*c*d*x^2 + 28*a*b^2*c*d + (4*a*b^2*c^2 + 35*a^3*d^2)*x)*sqrt(a^2*x^2 + b^2))*sqrt(a*x + sqrt(a^2*x^2 + b^2))/(a^3*b^2)","A",0
2823,-1,0,0,0.000000," ","integrate((1-(-3*x^10+x^9-9*x^7+3*x^6-9*x^4+3*x^3-3*x+1)^(1/3))/(x^2+(-3*x^10+x^9-9*x^7+3*x^6-9*x^4+3*x^3-3*x+1)^(1/3)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2824,1,932,0,93.985656," ","integrate((-k*x+1)/(1+(-2+k)*x)/((1-x)*x*(-k*x+1))^(2/3),x, algorithm=""fricas"")","\frac{\sqrt{3} 2^{\frac{1}{3}} \arctan\left(\frac{\frac{24 \, \sqrt{3} 2^{\frac{1}{3}} {\left({\left(k^{5} - 3 \, k^{4} - 4 \, k^{3} + 22 \, k^{2} - 24 \, k + 8\right)} x^{4} - 2 \, {\left(k^{4} - 10 \, k^{3} + 27 \, k^{2} - 26 \, k + 8\right)} x^{3} - 6 \, {\left(k^{3} - 4 \, k^{2} + 4 \, k - 1\right)} x^{2} - 2 \, {\left(k^{2} - 1\right)} x + k - 1\right)} {\left(k x^{3} - {\left(k + 1\right)} x^{2} + x\right)}^{\frac{2}{3}}}{{\left(k - 1\right)}^{\frac{1}{3}}} - \frac{6 \, \sqrt{3} 2^{\frac{2}{3}} {\left({\left(k^{6} + 27 \, k^{5} - 40 \, k^{4} - 20 \, k^{3} + 48 \, k^{2} - 16 \, k\right)} x^{5} - {\left(33 \, k^{5} + 55 \, k^{4} - 220 \, k^{3} + 132 \, k^{2} + 16 \, k - 16\right)} x^{4} + 2 \, {\left(55 \, k^{4} - 55 \, k^{3} - 66 \, k^{2} + 82 \, k - 16\right)} x^{3} - 2 \, {\left(55 \, k^{3} - 99 \, k^{2} + 38 \, k + 6\right)} x^{2} + {\left(33 \, k^{2} - 61 \, k + 28\right)} x - k + 1\right)} {\left(k x^{3} - {\left(k + 1\right)} x^{2} + x\right)}^{\frac{1}{3}}}{{\left(k - 1\right)}^{\frac{2}{3}}} + \sqrt{3} {\left({\left(k^{6} - 48 \, k^{5} - 192 \, k^{4} + 416 \, k^{3} - 48 \, k^{2} - 192 \, k + 64\right)} x^{6} + 6 \, {\left(7 \, k^{5} + 104 \, k^{4} - 80 \, k^{3} - 176 \, k^{2} + 176 \, k - 32\right)} x^{5} - 3 \, {\left(139 \, k^{4} + 256 \, k^{3} - 768 \, k^{2} + 352 \, k + 16\right)} x^{4} + 4 \, {\left(203 \, k^{3} - 192 \, k^{2} - 120 \, k + 104\right)} x^{3} - 3 \, {\left(139 \, k^{2} - 208 \, k + 64\right)} x^{2} + 6 \, {\left(7 \, k - 8\right)} x + 1\right)}}{3 \, {\left({\left(k^{6} + 96 \, k^{5} - 48 \, k^{4} - 160 \, k^{3} + 240 \, k^{2} - 192 \, k + 64\right)} x^{6} - 6 \, {\left(17 \, k^{5} + 64 \, k^{4} - 112 \, k^{3} + 80 \, k^{2} - 80 \, k + 32\right)} x^{5} + 3 \, {\left(149 \, k^{4} + 32 \, k^{3} - 96 \, k^{2} - 160 \, k + 80\right)} x^{4} - 4 \, {\left(157 \, k^{3} - 24 \, k^{2} - 168 \, k + 40\right)} x^{3} + 3 \, {\left(149 \, k^{2} - 128 \, k - 16\right)} x^{2} - 6 \, {\left(17 \, k - 16\right)} x + 1\right)}}\right)}{6 \, {\left(k - 1\right)}^{\frac{1}{3}}} - \frac{2^{\frac{1}{3}} \log\left(\frac{\frac{12 \cdot 2^{\frac{2}{3}} {\left(k x^{3} - {\left(k + 1\right)} x^{2} + x\right)}^{\frac{2}{3}} {\left({\left(k^{3} + k^{2} - 4 \, k + 2\right)} x^{2} - 2 \, {\left(2 \, k^{2} - 3 \, k + 1\right)} x + k - 1\right)}}{{\left(k - 1\right)}^{\frac{2}{3}}} + 6 \, {\left({\left(k^{3} + 8 \, k^{2} - 8 \, k\right)} x^{3} - {\left(11 \, k^{2} - 8\right)} x^{2} + {\left(11 \, k - 8\right)} x - 1\right)} {\left(k x^{3} - {\left(k + 1\right)} x^{2} + x\right)}^{\frac{1}{3}} + \frac{2^{\frac{1}{3}} {\left({\left(k^{4} + 28 \, k^{3} - 12 \, k^{2} - 32 \, k + 16\right)} x^{4} - 4 \, {\left(8 \, k^{3} + 15 \, k^{2} - 30 \, k + 8\right)} x^{3} + 6 \, {\left(13 \, k^{2} - 10 \, k - 2\right)} x^{2} - 4 \, {\left(8 \, k - 7\right)} x + 1\right)}}{{\left(k - 1\right)}^{\frac{1}{3}}}}{{\left(k^{4} - 8 \, k^{3} + 24 \, k^{2} - 32 \, k + 16\right)} x^{4} + 4 \, {\left(k^{3} - 6 \, k^{2} + 12 \, k - 8\right)} x^{3} + 6 \, {\left(k^{2} - 4 \, k + 4\right)} x^{2} + 4 \, {\left(k - 2\right)} x + 1}\right)}{12 \, {\left(k - 1\right)}^{\frac{1}{3}}} + \frac{2^{\frac{1}{3}} \log\left(\frac{\frac{6 \cdot 2^{\frac{1}{3}} {\left(k x^{3} - {\left(k + 1\right)} x^{2} + x\right)}^{\frac{1}{3}} {\left(k x - 1\right)}}{{\left(k - 1\right)}^{\frac{1}{3}}} - \frac{2^{\frac{2}{3}} {\left({\left(k^{2} - 4 \, k + 4\right)} x^{2} + 2 \, {\left(k - 2\right)} x + 1\right)}}{{\left(k - 1\right)}^{\frac{2}{3}}} - 12 \, {\left(k x^{3} - {\left(k + 1\right)} x^{2} + x\right)}^{\frac{2}{3}}}{{\left(k^{2} - 4 \, k + 4\right)} x^{2} + 2 \, {\left(k - 2\right)} x + 1}\right)}{6 \, {\left(k - 1\right)}^{\frac{1}{3}}}"," ",0,"1/6*sqrt(3)*2^(1/3)*arctan(1/3*(24*sqrt(3)*2^(1/3)*((k^5 - 3*k^4 - 4*k^3 + 22*k^2 - 24*k + 8)*x^4 - 2*(k^4 - 10*k^3 + 27*k^2 - 26*k + 8)*x^3 - 6*(k^3 - 4*k^2 + 4*k - 1)*x^2 - 2*(k^2 - 1)*x + k - 1)*(k*x^3 - (k + 1)*x^2 + x)^(2/3)/(k - 1)^(1/3) - 6*sqrt(3)*2^(2/3)*((k^6 + 27*k^5 - 40*k^4 - 20*k^3 + 48*k^2 - 16*k)*x^5 - (33*k^5 + 55*k^4 - 220*k^3 + 132*k^2 + 16*k - 16)*x^4 + 2*(55*k^4 - 55*k^3 - 66*k^2 + 82*k - 16)*x^3 - 2*(55*k^3 - 99*k^2 + 38*k + 6)*x^2 + (33*k^2 - 61*k + 28)*x - k + 1)*(k*x^3 - (k + 1)*x^2 + x)^(1/3)/(k - 1)^(2/3) + sqrt(3)*((k^6 - 48*k^5 - 192*k^4 + 416*k^3 - 48*k^2 - 192*k + 64)*x^6 + 6*(7*k^5 + 104*k^4 - 80*k^3 - 176*k^2 + 176*k - 32)*x^5 - 3*(139*k^4 + 256*k^3 - 768*k^2 + 352*k + 16)*x^4 + 4*(203*k^3 - 192*k^2 - 120*k + 104)*x^3 - 3*(139*k^2 - 208*k + 64)*x^2 + 6*(7*k - 8)*x + 1))/((k^6 + 96*k^5 - 48*k^4 - 160*k^3 + 240*k^2 - 192*k + 64)*x^6 - 6*(17*k^5 + 64*k^4 - 112*k^3 + 80*k^2 - 80*k + 32)*x^5 + 3*(149*k^4 + 32*k^3 - 96*k^2 - 160*k + 80)*x^4 - 4*(157*k^3 - 24*k^2 - 168*k + 40)*x^3 + 3*(149*k^2 - 128*k - 16)*x^2 - 6*(17*k - 16)*x + 1))/(k - 1)^(1/3) - 1/12*2^(1/3)*log((12*2^(2/3)*(k*x^3 - (k + 1)*x^2 + x)^(2/3)*((k^3 + k^2 - 4*k + 2)*x^2 - 2*(2*k^2 - 3*k + 1)*x + k - 1)/(k - 1)^(2/3) + 6*((k^3 + 8*k^2 - 8*k)*x^3 - (11*k^2 - 8)*x^2 + (11*k - 8)*x - 1)*(k*x^3 - (k + 1)*x^2 + x)^(1/3) + 2^(1/3)*((k^4 + 28*k^3 - 12*k^2 - 32*k + 16)*x^4 - 4*(8*k^3 + 15*k^2 - 30*k + 8)*x^3 + 6*(13*k^2 - 10*k - 2)*x^2 - 4*(8*k - 7)*x + 1)/(k - 1)^(1/3))/((k^4 - 8*k^3 + 24*k^2 - 32*k + 16)*x^4 + 4*(k^3 - 6*k^2 + 12*k - 8)*x^3 + 6*(k^2 - 4*k + 4)*x^2 + 4*(k - 2)*x + 1))/(k - 1)^(1/3) + 1/6*2^(1/3)*log((6*2^(1/3)*(k*x^3 - (k + 1)*x^2 + x)^(1/3)*(k*x - 1)/(k - 1)^(1/3) - 2^(2/3)*((k^2 - 4*k + 4)*x^2 + 2*(k - 2)*x + 1)/(k - 1)^(2/3) - 12*(k*x^3 - (k + 1)*x^2 + x)^(2/3))/((k^2 - 4*k + 4)*x^2 + 2*(k - 2)*x + 1))/(k - 1)^(1/3)","B",0
2825,1,868,0,11.796578," ","integrate((x^3+x^2+1)/(x^3+x^2-1)/(x^3+x^2)^(1/3),x, algorithm=""fricas"")","-\frac{2}{23} \, \sqrt{23} \sqrt{\frac{1}{69} \, {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)}^{2} + 16} \arctan\left(\frac{\sqrt{\frac{1}{23}} {\left(\sqrt{23} x {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)}^{2} + 7176 \, \sqrt{23} x\right)} \sqrt{\frac{1}{69} \, {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)}^{2} + 16} \sqrt{\frac{{\left(2 \, x^{2} + 9 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)}^{2} - 5796 \, x^{2} + 138 \, {\left(3 \, x^{2} + {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)} + 4968 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + 20700 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 15 \, {\left({\left(3 \, \sqrt{23} x + 2 \, \sqrt{23} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}\right)} {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)}^{2} + 92 \, \sqrt{23} x {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)} + 2484 \, \sqrt{23} x + 14352 \, \sqrt{23} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}\right)} \sqrt{\frac{1}{69} \, {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)}^{2} + 16}}{4761000 \, x}\right) + \frac{1}{69} \, {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)} \log\left(-\frac{3 \, x {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)}^{2} + 46 \, x {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)} + 1656 \, x - 6900 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{69 \, x}\right) + \frac{1}{46} \, {\left(\sqrt{23} \sqrt{-0.4683433399583197? + 0.?e-33 \sqrt{-1}} + 34.26254145273487? + 0.?e-32 \sqrt{-1}\right)} \log\left(-\frac{\left(71.2918670130777? + 0.?e-32 \sqrt{-1}\right) \, \sqrt{23} \sqrt{-0.4683433399583197? + 0.?e-33 \sqrt{-1}} x + \left(654.502264627727? + 0.?e-31 \sqrt{-1}\right) \, x - 800 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{46} \, {\left(\sqrt{23} \sqrt{-0.4683433399583197? + 0.?e-33 \sqrt{-1}} - 34.26254145273487? + 0.?e-32 \sqrt{-1}\right)} \log\left(-\frac{-\left(71.2918670130777? + 0.?e-32 \sqrt{-1}\right) \, \sqrt{23} \sqrt{-0.4683433399583197? + 0.?e-33 \sqrt{-1}} x + \left(654.502264627727? + 0.?e-31 \sqrt{-1}\right) \, x - 800 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{138} \, {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)} \log\left(\frac{400 \, {\left({\left(2 \, x^{2} + 9 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)}^{2} - 5796 \, x^{2} + 138 \, {\left(3 \, x^{2} + {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)} + 4968 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + 20700 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{207 \, x^{2}}\right) - \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) - \left(0.3106288296404671? + 0.5380249152329462? \sqrt{-1}\right) \, \log\left(\frac{\left(264.9435914489492? - 458.8957615293512? \sqrt{-1}\right) \, x + 400 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \left(0.4342090280276823? + 0.6093739760383123? \sqrt{-1}\right) \, \log\left(\frac{\left(62.30754086491403? - 341.9037831771358? \sqrt{-1}\right) \, x + 400 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \log\left(-\frac{x - {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \left(0.4342090280276823? - 0.6093739760383123? \sqrt{-1}\right) \, \log\left(-\frac{-\left(62.30754086491403? + 341.9037831771358? \sqrt{-1}\right) \, x - 400 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \left(0.3106288296404671? - 0.5380249152329462? \sqrt{-1}\right) \, \log\left(-\frac{-\left(264.9435914489492? + 458.8957615293512? \sqrt{-1}\right) \, x - 400 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, \log\left(\frac{x^{2} + {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-2/23*sqrt(23)*sqrt(1/69*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3))^2 + 16)*arctan(1/4761000*(sqrt(1/23)*(sqrt(23)*x*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3))^2 + 7176*sqrt(23)*x)*sqrt(1/69*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3))^2 + 16)*sqrt(((2*x^2 + 9*(x^3 + x^2)^(1/3)*x)*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3))^2 - 5796*x^2 + 138*(3*x^2 + (x^3 + x^2)^(1/3)*x)*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3)) + 4968*(x^3 + x^2)^(1/3)*x + 20700*(x^3 + x^2)^(2/3))/x^2) - 15*((3*sqrt(23)*x + 2*sqrt(23)*(x^3 + x^2)^(1/3))*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3))^2 + 92*sqrt(23)*x*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3)) + 2484*sqrt(23)*x + 14352*sqrt(23)*(x^3 + x^2)^(1/3))*sqrt(1/69*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3))^2 + 16))/x) + 1/69*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3))*log(-1/69*(3*x*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3))^2 + 46*x*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3)) + 1656*x - 6900*(x^3 + x^2)^(1/3))/x) + 1/46*(sqrt(23)*sqrt(-0.4683433399583197? + 0.?e-33*I) + 34.26254145273487? + 0.?e-32*I)*log(-((71.2918670130777? + 0.?e-32*I)*sqrt(23)*sqrt(-0.4683433399583197? + 0.?e-33*I)*x + (654.502264627727? + 0.?e-31*I)*x - 800*(x^3 + x^2)^(1/3))/x) - 1/46*(sqrt(23)*sqrt(-0.4683433399583197? + 0.?e-33*I) - 34.26254145273487? + 0.?e-32*I)*log(-(-(71.2918670130777? + 0.?e-32*I)*sqrt(23)*sqrt(-0.4683433399583197? + 0.?e-33*I)*x + (654.502264627727? + 0.?e-31*I)*x - 800*(x^3 + x^2)^(1/3))/x) - 1/138*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3))*log(400/207*((2*x^2 + 9*(x^3 + x^2)^(1/3)*x)*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3))^2 - 5796*x^2 + 138*(3*x^2 + (x^3 + x^2)^(1/3)*x)*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3)) + 4968*(x^3 + x^2)^(1/3)*x + 20700*(x^3 + x^2)^(2/3))/x^2) - sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + x^2)^(1/3))/x) - (0.3106288296404671? + 0.5380249152329462?*I)*log(((264.9435914489492? - 458.8957615293512?*I)*x + 400*(x^3 + x^2)^(1/3))/x) - (0.4342090280276823? + 0.6093739760383123?*I)*log(((62.30754086491403? - 341.9037831771358?*I)*x + 400*(x^3 + x^2)^(1/3))/x) - log(-(x - (x^3 + x^2)^(1/3))/x) - (0.4342090280276823? - 0.6093739760383123?*I)*log(-(-(62.30754086491403? + 341.9037831771358?*I)*x - 400*(x^3 + x^2)^(1/3))/x) - (0.3106288296404671? - 0.5380249152329462?*I)*log(-(-(264.9435914489492? + 458.8957615293512?*I)*x - 400*(x^3 + x^2)^(1/3))/x) + 1/2*log((x^2 + (x^3 + x^2)^(1/3)*x + (x^3 + x^2)^(2/3))/x^2)","B",0
2826,1,868,0,11.753155," ","integrate((x^3+x^2+1)/(x^3+x^2-1)/(x^3+x^2)^(1/3),x, algorithm=""fricas"")","-\frac{2}{23} \, \sqrt{23} \sqrt{\frac{1}{69} \, {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)}^{2} + 16} \arctan\left(\frac{\sqrt{\frac{1}{23}} {\left(\sqrt{23} x {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)}^{2} + 7176 \, \sqrt{23} x\right)} \sqrt{\frac{1}{69} \, {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)}^{2} + 16} \sqrt{\frac{{\left(2 \, x^{2} + 9 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)}^{2} - 5796 \, x^{2} + 138 \, {\left(3 \, x^{2} + {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)} + 4968 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + 20700 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 15 \, {\left({\left(3 \, \sqrt{23} x + 2 \, \sqrt{23} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}\right)} {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)}^{2} + 92 \, \sqrt{23} x {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)} + 2484 \, \sqrt{23} x + 14352 \, \sqrt{23} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}\right)} \sqrt{\frac{1}{69} \, {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)}^{2} + 16}}{4761000 \, x}\right) + \frac{1}{69} \, {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)} \log\left(-\frac{3 \, x {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)}^{2} + 46 \, x {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)} + 1656 \, x - 6900 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{69 \, x}\right) + \frac{1}{46} \, {\left(\sqrt{23} \sqrt{-0.4683433399583197? + 0.?e-33 \sqrt{-1}} + 34.26254145273487? + 0.?e-32 \sqrt{-1}\right)} \log\left(-\frac{\left(71.2918670130777? + 0.?e-32 \sqrt{-1}\right) \, \sqrt{23} \sqrt{-0.4683433399583197? + 0.?e-33 \sqrt{-1}} x + \left(654.502264627727? + 0.?e-31 \sqrt{-1}\right) \, x - 800 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{46} \, {\left(\sqrt{23} \sqrt{-0.4683433399583197? + 0.?e-33 \sqrt{-1}} - 34.26254145273487? + 0.?e-32 \sqrt{-1}\right)} \log\left(-\frac{-\left(71.2918670130777? + 0.?e-32 \sqrt{-1}\right) \, \sqrt{23} \sqrt{-0.4683433399583197? + 0.?e-33 \sqrt{-1}} x + \left(654.502264627727? + 0.?e-31 \sqrt{-1}\right) \, x - 800 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{138} \, {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)} \log\left(\frac{400 \, {\left({\left(2 \, x^{2} + 9 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)}^{2} - 5796 \, x^{2} + 138 \, {\left(3 \, x^{2} + {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x\right)} {\left(69 \, {\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}} - \frac{4}{{\left(\frac{100}{4761} \, \sqrt{69} + \frac{4}{23}\right)}^{\frac{1}{3}}}\right)} + 4968 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + 20700 \, {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}\right)}}{207 \, x^{2}}\right) - \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{3 \, x}\right) - \left(0.3106288296404671? + 0.5380249152329462? \sqrt{-1}\right) \, \log\left(\frac{\left(264.9435914489492? - 458.8957615293512? \sqrt{-1}\right) \, x + 400 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \left(0.4342090280276823? + 0.6093739760383123? \sqrt{-1}\right) \, \log\left(\frac{\left(62.30754086491403? - 341.9037831771358? \sqrt{-1}\right) \, x + 400 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \log\left(-\frac{x - {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \left(0.4342090280276823? - 0.6093739760383123? \sqrt{-1}\right) \, \log\left(-\frac{-\left(62.30754086491403? + 341.9037831771358? \sqrt{-1}\right) \, x - 400 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \left(0.3106288296404671? - 0.5380249152329462? \sqrt{-1}\right) \, \log\left(-\frac{-\left(264.9435914489492? + 458.8957615293512? \sqrt{-1}\right) \, x - 400 \, {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, \log\left(\frac{x^{2} + {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x + {\left(x^{3} + x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-2/23*sqrt(23)*sqrt(1/69*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3))^2 + 16)*arctan(1/4761000*(sqrt(1/23)*(sqrt(23)*x*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3))^2 + 7176*sqrt(23)*x)*sqrt(1/69*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3))^2 + 16)*sqrt(((2*x^2 + 9*(x^3 + x^2)^(1/3)*x)*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3))^2 - 5796*x^2 + 138*(3*x^2 + (x^3 + x^2)^(1/3)*x)*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3)) + 4968*(x^3 + x^2)^(1/3)*x + 20700*(x^3 + x^2)^(2/3))/x^2) - 15*((3*sqrt(23)*x + 2*sqrt(23)*(x^3 + x^2)^(1/3))*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3))^2 + 92*sqrt(23)*x*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3)) + 2484*sqrt(23)*x + 14352*sqrt(23)*(x^3 + x^2)^(1/3))*sqrt(1/69*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3))^2 + 16))/x) + 1/69*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3))*log(-1/69*(3*x*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3))^2 + 46*x*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3)) + 1656*x - 6900*(x^3 + x^2)^(1/3))/x) + 1/46*(sqrt(23)*sqrt(-0.4683433399583197? + 0.?e-33*I) + 34.26254145273487? + 0.?e-32*I)*log(-((71.2918670130777? + 0.?e-32*I)*sqrt(23)*sqrt(-0.4683433399583197? + 0.?e-33*I)*x + (654.502264627727? + 0.?e-31*I)*x - 800*(x^3 + x^2)^(1/3))/x) - 1/46*(sqrt(23)*sqrt(-0.4683433399583197? + 0.?e-33*I) - 34.26254145273487? + 0.?e-32*I)*log(-(-(71.2918670130777? + 0.?e-32*I)*sqrt(23)*sqrt(-0.4683433399583197? + 0.?e-33*I)*x + (654.502264627727? + 0.?e-31*I)*x - 800*(x^3 + x^2)^(1/3))/x) - 1/138*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3))*log(400/207*((2*x^2 + 9*(x^3 + x^2)^(1/3)*x)*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3))^2 - 5796*x^2 + 138*(3*x^2 + (x^3 + x^2)^(1/3)*x)*(69*(100/4761*sqrt(69) + 4/23)^(1/3) - 4/(100/4761*sqrt(69) + 4/23)^(1/3)) + 4968*(x^3 + x^2)^(1/3)*x + 20700*(x^3 + x^2)^(2/3))/x^2) - sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + x^2)^(1/3))/x) - (0.3106288296404671? + 0.5380249152329462?*I)*log(((264.9435914489492? - 458.8957615293512?*I)*x + 400*(x^3 + x^2)^(1/3))/x) - (0.4342090280276823? + 0.6093739760383123?*I)*log(((62.30754086491403? - 341.9037831771358?*I)*x + 400*(x^3 + x^2)^(1/3))/x) - log(-(x - (x^3 + x^2)^(1/3))/x) - (0.4342090280276823? - 0.6093739760383123?*I)*log(-(-(62.30754086491403? + 341.9037831771358?*I)*x - 400*(x^3 + x^2)^(1/3))/x) - (0.3106288296404671? - 0.5380249152329462?*I)*log(-(-(264.9435914489492? + 458.8957615293512?*I)*x - 400*(x^3 + x^2)^(1/3))/x) + 1/2*log((x^2 + (x^3 + x^2)^(1/3)*x + (x^3 + x^2)^(2/3))/x^2)","B",0
2827,-1,0,0,0.000000," ","integrate((a*x+(a*x-b)^(1/2))^(1/2)/x/(a*x-b)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2828,1,359,0,0.767080," ","integrate((a*x+(a^2*x^2+b)^(1/2))^(1/2)*(c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{105 \, b \sqrt{c} \log\left(2 \, {\left(a \sqrt{c} x - \sqrt{a^{2} x^{2} + b} \sqrt{c}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}} - 2 \, {\left(a c x - \sqrt{a^{2} x^{2} + b} c\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} + b\right) + 2 \, {\left(16 \, c^{4} + 6 \, a c^{2} x + 6 \, \sqrt{a^{2} x^{2} + b} c^{2} - {\left(8 \, c^{3} - 135 \, a c x + 75 \, \sqrt{a^{2} x^{2} + b} c\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{210 \, a c}, \frac{105 \, b \sqrt{-c} \arctan\left(\frac{\sqrt{-c} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{c}\right) + {\left(16 \, c^{4} + 6 \, a c^{2} x + 6 \, \sqrt{a^{2} x^{2} + b} c^{2} - {\left(8 \, c^{3} - 135 \, a c x + 75 \, \sqrt{a^{2} x^{2} + b} c\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{105 \, a c}\right]"," ",0,"[1/210*(105*b*sqrt(c)*log(2*(a*sqrt(c)*x - sqrt(a^2*x^2 + b)*sqrt(c))*sqrt(a*x + sqrt(a^2*x^2 + b))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b))) - 2*(a*c*x - sqrt(a^2*x^2 + b)*c)*sqrt(a*x + sqrt(a^2*x^2 + b)) + b) + 2*(16*c^4 + 6*a*c^2*x + 6*sqrt(a^2*x^2 + b)*c^2 - (8*c^3 - 135*a*c*x + 75*sqrt(a^2*x^2 + b)*c)*sqrt(a*x + sqrt(a^2*x^2 + b)))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b))))/(a*c), 1/105*(105*b*sqrt(-c)*arctan(sqrt(-c)*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))/c) + (16*c^4 + 6*a*c^2*x + 6*sqrt(a^2*x^2 + b)*c^2 - (8*c^3 - 135*a*c*x + 75*sqrt(a^2*x^2 + b)*c)*sqrt(a*x + sqrt(a^2*x^2 + b)))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b))))/(a*c)]","A",0
2829,1,284,0,2.724649," ","integrate(x^4*(a^2*x^4+b)^(1/2)*(a*x^2+(a^2*x^4+b)^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{39 \, \sqrt{2} \sqrt{a} b^{2} \log\left(4 \, a^{2} x^{4} + 4 \, \sqrt{a^{2} x^{4} + b} a x^{2} - 2 \, {\left(\sqrt{2} a^{\frac{3}{2}} x^{3} + \sqrt{2} \sqrt{a^{2} x^{4} + b} \sqrt{a} x\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} + b\right) - 4 \, {\left(8 \, a^{4} x^{7} + 13 \, a^{2} b x^{3} - {\left(56 \, a^{3} x^{5} + 39 \, a b x\right)} \sqrt{a^{2} x^{4} + b}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{1536 \, a^{3}}, \frac{39 \, \sqrt{2} \sqrt{-a} b^{2} \arctan\left(\frac{\sqrt{2} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} \sqrt{-a}}{2 \, a x}\right) - 2 \, {\left(8 \, a^{4} x^{7} + 13 \, a^{2} b x^{3} - {\left(56 \, a^{3} x^{5} + 39 \, a b x\right)} \sqrt{a^{2} x^{4} + b}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{768 \, a^{3}}\right]"," ",0,"[1/1536*(39*sqrt(2)*sqrt(a)*b^2*log(4*a^2*x^4 + 4*sqrt(a^2*x^4 + b)*a*x^2 - 2*(sqrt(2)*a^(3/2)*x^3 + sqrt(2)*sqrt(a^2*x^4 + b)*sqrt(a)*x)*sqrt(a*x^2 + sqrt(a^2*x^4 + b)) + b) - 4*(8*a^4*x^7 + 13*a^2*b*x^3 - (56*a^3*x^5 + 39*a*b*x)*sqrt(a^2*x^4 + b))*sqrt(a*x^2 + sqrt(a^2*x^4 + b)))/a^3, 1/768*(39*sqrt(2)*sqrt(-a)*b^2*arctan(1/2*sqrt(2)*sqrt(a*x^2 + sqrt(a^2*x^4 + b))*sqrt(-a)/(a*x)) - 2*(8*a^4*x^7 + 13*a^2*b*x^3 - (56*a^3*x^5 + 39*a*b*x)*sqrt(a^2*x^4 + b))*sqrt(a*x^2 + sqrt(a^2*x^4 + b)))/a^3]","A",0
2830,-1,0,0,0.000000," ","integrate((c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2)/(a^2*x^2+b)^(3/2)/(a*x+(a^2*x^2+b)^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2831,-1,0,0,0.000000," ","integrate((c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2)/(a^2*x^2+b)^(3/2)/(a*x+(a^2*x^2+b)^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2832,-1,0,0,0.000000," ","integrate(x^2/(a*x^2+b)/(x^3+x)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2833,1,456,0,2.991775," ","integrate((x^6+1)/(x^4+x^2)^(1/3)/(x^6-1),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{6} 2^{\frac{1}{6}} \left(-1\right)^{\frac{1}{3}} \arctan\left(\frac{2^{\frac{1}{6}} {\left(4 \, \sqrt{6} 2^{\frac{2}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} {\left(x^{2} + 2 \, x + 1\right)} + 8 \, \sqrt{6} \left(-1\right)^{\frac{1}{3}} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} - 2 \, x^{2} + x\right)} - \sqrt{6} 2^{\frac{1}{3}} {\left(x^{5} - 8 \, x^{4} - 2 \, x^{3} - 8 \, x^{2} + x\right)}\right)}}{6 \, {\left(x^{5} + 8 \, x^{4} - 2 \, x^{3} + 8 \, x^{2} + x\right)}}\right) + \frac{1}{12} \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(-\frac{4 \cdot 2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} x - 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{3} + 2 \, x^{2} + x\right)} + 4 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}}}{x^{3} - 2 \, x^{2} + x}\right) - \frac{1}{24} \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(\frac{2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{3} - 2 \, x^{2} + x\right)} + 2 \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} + 4 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} x}{x^{3} - 2 \, x^{2} + x}\right) - \frac{1}{3} \, \sqrt{3} \arctan\left(\frac{4 \, \sqrt{3} {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} {\left(x^{2} + x + 1\right)} - 4 \, \sqrt{3} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} - x^{2} + x\right)} - \sqrt{3} {\left(x^{5} - 4 \, x^{4} + x^{3} - 4 \, x^{2} + x\right)}}{3 \, {\left(x^{5} + 4 \, x^{4} + x^{3} + 4 \, x^{2} + x\right)}}\right) + \frac{1}{3} \, \log\left(\frac{x^{3} - x^{2} + 2 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} x + x - 2 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}}}{x^{3} + x^{2} + x}\right) + \frac{1}{6} \, \log\left(\frac{x^{3} - x^{2} + 2 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} x + x - 2 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}}}{x^{3} - x^{2} + x}\right)"," ",0,"1/12*sqrt(6)*2^(1/6)*(-1)^(1/3)*arctan(1/6*2^(1/6)*(4*sqrt(6)*2^(2/3)*(-1)^(2/3)*(x^4 + x^2)^(2/3)*(x^2 + 2*x + 1) + 8*sqrt(6)*(-1)^(1/3)*(x^4 + x^2)^(1/3)*(x^3 - 2*x^2 + x) - sqrt(6)*2^(1/3)*(x^5 - 8*x^4 - 2*x^3 - 8*x^2 + x))/(x^5 + 8*x^4 - 2*x^3 + 8*x^2 + x)) + 1/12*2^(2/3)*(-1)^(1/3)*log(-(4*2^(1/3)*(-1)^(2/3)*(x^4 + x^2)^(1/3)*x - 2^(2/3)*(-1)^(1/3)*(x^3 + 2*x^2 + x) + 4*(x^4 + x^2)^(2/3))/(x^3 - 2*x^2 + x)) - 1/24*2^(2/3)*(-1)^(1/3)*log((2^(1/3)*(-1)^(2/3)*(x^3 - 2*x^2 + x) + 2*2^(2/3)*(-1)^(1/3)*(x^4 + x^2)^(2/3) + 4*(x^4 + x^2)^(1/3)*x)/(x^3 - 2*x^2 + x)) - 1/3*sqrt(3)*arctan(1/3*(4*sqrt(3)*(x^4 + x^2)^(2/3)*(x^2 + x + 1) - 4*sqrt(3)*(x^4 + x^2)^(1/3)*(x^3 - x^2 + x) - sqrt(3)*(x^5 - 4*x^4 + x^3 - 4*x^2 + x))/(x^5 + 4*x^4 + x^3 + 4*x^2 + x)) + 1/3*log((x^3 - x^2 + 2*(x^4 + x^2)^(1/3)*x + x - 2*(x^4 + x^2)^(2/3))/(x^3 + x^2 + x)) + 1/6*log((x^3 - x^2 + 2*(x^4 + x^2)^(1/3)*x + x - 2*(x^4 + x^2)^(2/3))/(x^3 - x^2 + x))","B",0
2834,1,1041,0,0.671551," ","integrate((3*x^4-2)^(1/2)*(3*x^4-1)/x^3/(3*x^8-3*x^4+1),x, algorithm=""fricas"")","-\frac{4 \cdot 12^{\frac{1}{4}} \sqrt{2} x^{2} \sqrt{-4 \, \sqrt{3} + 8} \arctan\left(-\frac{432 \, x^{10} - 576 \, x^{6} + 192 \, x^{2} + 2 \, \sqrt{3 \, x^{4} - 2} {\left(12^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(3 \, x^{8} - 5 \, x^{4} + 2\right)} - \sqrt{2} {\left(3 \, x^{4} - 2\right)}\right)} - 3 \cdot 12^{\frac{1}{4}} {\left(\sqrt{2} x^{4} - \sqrt{3} \sqrt{2} {\left(x^{8} - x^{4}\right)}\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} + 8 \, \sqrt{3} {\left(9 \, x^{10} - 6 \, x^{6} - \sqrt{3} {\left(9 \, x^{10} - 12 \, x^{6} + 4 \, x^{2}\right)}\right)} - 12 \, \sqrt{3} {\left(3 \, x^{10} - 2 \, x^{6}\right)} + {\left(12 \, \sqrt{3} x^{10} + 72 \, x^{10} - 48 \, x^{6} - \sqrt{3 \, x^{4} - 2} {\left(12^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(3 \, x^{8} - 2 \, x^{4}\right)} + \sqrt{2} {\left(3 \, x^{8} - 2 \, x^{4}\right)}\right)} + 3 \cdot 12^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} x^{8} + \sqrt{2} x^{8}\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8}\right)} \sqrt{\frac{12 \, x^{8} - 12 \, x^{4} + 12^{\frac{1}{4}} \sqrt{3 \, x^{4} - 2} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{6} - x^{2}\right)} + \sqrt{2} {\left(3 \, x^{6} - x^{2}\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} + 4 \, \sqrt{3} {\left(3 \, x^{8} - 2 \, x^{4}\right)} + 4}{x^{8}}}}{12 \, {\left(33 \, x^{10} - 48 \, x^{6} + 16 \, x^{2}\right)}}\right) + 4 \cdot 12^{\frac{1}{4}} \sqrt{2} x^{2} \sqrt{-4 \, \sqrt{3} + 8} \arctan\left(\frac{432 \, x^{10} - 576 \, x^{6} + 192 \, x^{2} - 2 \, \sqrt{3 \, x^{4} - 2} {\left(12^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(3 \, x^{8} - 5 \, x^{4} + 2\right)} - \sqrt{2} {\left(3 \, x^{4} - 2\right)}\right)} - 3 \cdot 12^{\frac{1}{4}} {\left(\sqrt{2} x^{4} - \sqrt{3} \sqrt{2} {\left(x^{8} - x^{4}\right)}\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} + 8 \, \sqrt{3} {\left(9 \, x^{10} - 6 \, x^{6} - \sqrt{3} {\left(9 \, x^{10} - 12 \, x^{6} + 4 \, x^{2}\right)}\right)} - 12 \, \sqrt{3} {\left(3 \, x^{10} - 2 \, x^{6}\right)} + {\left(12 \, \sqrt{3} x^{10} + 72 \, x^{10} - 48 \, x^{6} + \sqrt{3 \, x^{4} - 2} {\left(12^{\frac{3}{4}} {\left(\sqrt{3} \sqrt{2} {\left(3 \, x^{8} - 2 \, x^{4}\right)} + \sqrt{2} {\left(3 \, x^{8} - 2 \, x^{4}\right)}\right)} + 3 \cdot 12^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} x^{8} + \sqrt{2} x^{8}\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8}\right)} \sqrt{\frac{12 \, x^{8} - 12 \, x^{4} - 12^{\frac{1}{4}} \sqrt{3 \, x^{4} - 2} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{6} - x^{2}\right)} + \sqrt{2} {\left(3 \, x^{6} - x^{2}\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} + 4 \, \sqrt{3} {\left(3 \, x^{8} - 2 \, x^{4}\right)} + 4}{x^{8}}}}{12 \, {\left(33 \, x^{10} - 48 \, x^{6} + 16 \, x^{2}\right)}}\right) + 12^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} x^{2} + 2 \, \sqrt{2} x^{2}\right)} \sqrt{-4 \, \sqrt{3} + 8} \log\left(\frac{4 \, {\left(12 \, x^{8} - 12 \, x^{4} + 12^{\frac{1}{4}} \sqrt{3 \, x^{4} - 2} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{6} - x^{2}\right)} + \sqrt{2} {\left(3 \, x^{6} - x^{2}\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} + 4 \, \sqrt{3} {\left(3 \, x^{8} - 2 \, x^{4}\right)} + 4\right)}}{x^{8}}\right) - 12^{\frac{1}{4}} {\left(\sqrt{3} \sqrt{2} x^{2} + 2 \, \sqrt{2} x^{2}\right)} \sqrt{-4 \, \sqrt{3} + 8} \log\left(\frac{4 \, {\left(12 \, x^{8} - 12 \, x^{4} - 12^{\frac{1}{4}} \sqrt{3 \, x^{4} - 2} {\left(\sqrt{3} \sqrt{2} {\left(2 \, x^{6} - x^{2}\right)} + \sqrt{2} {\left(3 \, x^{6} - x^{2}\right)}\right)} \sqrt{-4 \, \sqrt{3} + 8} + 4 \, \sqrt{3} {\left(3 \, x^{8} - 2 \, x^{4}\right)} + 4\right)}}{x^{8}}\right) - 32 \, \sqrt{3 \, x^{4} - 2}}{64 \, x^{2}}"," ",0,"-1/64*(4*12^(1/4)*sqrt(2)*x^2*sqrt(-4*sqrt(3) + 8)*arctan(-1/12*(432*x^10 - 576*x^6 + 192*x^2 + 2*sqrt(3*x^4 - 2)*(12^(3/4)*(sqrt(3)*sqrt(2)*(3*x^8 - 5*x^4 + 2) - sqrt(2)*(3*x^4 - 2)) - 3*12^(1/4)*(sqrt(2)*x^4 - sqrt(3)*sqrt(2)*(x^8 - x^4)))*sqrt(-4*sqrt(3) + 8) + 8*sqrt(3)*(9*x^10 - 6*x^6 - sqrt(3)*(9*x^10 - 12*x^6 + 4*x^2)) - 12*sqrt(3)*(3*x^10 - 2*x^6) + (12*sqrt(3)*x^10 + 72*x^10 - 48*x^6 - sqrt(3*x^4 - 2)*(12^(3/4)*(sqrt(3)*sqrt(2)*(3*x^8 - 2*x^4) + sqrt(2)*(3*x^8 - 2*x^4)) + 3*12^(1/4)*(sqrt(3)*sqrt(2)*x^8 + sqrt(2)*x^8))*sqrt(-4*sqrt(3) + 8))*sqrt((12*x^8 - 12*x^4 + 12^(1/4)*sqrt(3*x^4 - 2)*(sqrt(3)*sqrt(2)*(2*x^6 - x^2) + sqrt(2)*(3*x^6 - x^2))*sqrt(-4*sqrt(3) + 8) + 4*sqrt(3)*(3*x^8 - 2*x^4) + 4)/x^8))/(33*x^10 - 48*x^6 + 16*x^2)) + 4*12^(1/4)*sqrt(2)*x^2*sqrt(-4*sqrt(3) + 8)*arctan(1/12*(432*x^10 - 576*x^6 + 192*x^2 - 2*sqrt(3*x^4 - 2)*(12^(3/4)*(sqrt(3)*sqrt(2)*(3*x^8 - 5*x^4 + 2) - sqrt(2)*(3*x^4 - 2)) - 3*12^(1/4)*(sqrt(2)*x^4 - sqrt(3)*sqrt(2)*(x^8 - x^4)))*sqrt(-4*sqrt(3) + 8) + 8*sqrt(3)*(9*x^10 - 6*x^6 - sqrt(3)*(9*x^10 - 12*x^6 + 4*x^2)) - 12*sqrt(3)*(3*x^10 - 2*x^6) + (12*sqrt(3)*x^10 + 72*x^10 - 48*x^6 + sqrt(3*x^4 - 2)*(12^(3/4)*(sqrt(3)*sqrt(2)*(3*x^8 - 2*x^4) + sqrt(2)*(3*x^8 - 2*x^4)) + 3*12^(1/4)*(sqrt(3)*sqrt(2)*x^8 + sqrt(2)*x^8))*sqrt(-4*sqrt(3) + 8))*sqrt((12*x^8 - 12*x^4 - 12^(1/4)*sqrt(3*x^4 - 2)*(sqrt(3)*sqrt(2)*(2*x^6 - x^2) + sqrt(2)*(3*x^6 - x^2))*sqrt(-4*sqrt(3) + 8) + 4*sqrt(3)*(3*x^8 - 2*x^4) + 4)/x^8))/(33*x^10 - 48*x^6 + 16*x^2)) + 12^(1/4)*(sqrt(3)*sqrt(2)*x^2 + 2*sqrt(2)*x^2)*sqrt(-4*sqrt(3) + 8)*log(4*(12*x^8 - 12*x^4 + 12^(1/4)*sqrt(3*x^4 - 2)*(sqrt(3)*sqrt(2)*(2*x^6 - x^2) + sqrt(2)*(3*x^6 - x^2))*sqrt(-4*sqrt(3) + 8) + 4*sqrt(3)*(3*x^8 - 2*x^4) + 4)/x^8) - 12^(1/4)*(sqrt(3)*sqrt(2)*x^2 + 2*sqrt(2)*x^2)*sqrt(-4*sqrt(3) + 8)*log(4*(12*x^8 - 12*x^4 - 12^(1/4)*sqrt(3*x^4 - 2)*(sqrt(3)*sqrt(2)*(2*x^6 - x^2) + sqrt(2)*(3*x^6 - x^2))*sqrt(-4*sqrt(3) + 8) + 4*sqrt(3)*(3*x^8 - 2*x^4) + 4)/x^8) - 32*sqrt(3*x^4 - 2))/x^2","B",0
2835,1,566,0,0.528805," ","integrate(1/(a^2*x^2-b*x)^(5/2)/(a*x^2+x*(a^2*x^2-b*x)^(1/2))^(3/2),x, algorithm=""fricas"")","\left[\frac{446355 \, {\left(a^{11} x^{7} - 2 \, a^{9} b x^{6} + a^{7} b^{2} x^{5}\right)} \sqrt{a} \log\left(\frac{a^{2} x^{2} + 2 \, \sqrt{a^{2} x^{2} - b x} a x - b x - 2 \, \sqrt{a^{2} x^{2} - b x} \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x} \sqrt{a}}{a^{2} x^{2} - b x}\right) + 2 \, {\left(567694 \, a^{11} x^{6} - 1027230 \, a^{9} b x^{5} + 409856 \, a^{7} b^{2} x^{4} + 30976 \, a^{5} b^{3} x^{3} + 8960 \, a^{3} b^{4} x^{2} + 9744 \, a b^{5} x + {\left(121339 \, a^{10} x^{5} - 148243 \, a^{8} b x^{4} + 12416 \, a^{6} b^{2} x^{3} + 5248 \, a^{4} b^{3} x^{2} + 2688 \, a^{2} b^{4} x - 4368 \, b^{5}\right)} \sqrt{a^{2} x^{2} - b x}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x}}{32760 \, {\left(a^{4} b^{7} x^{7} - 2 \, a^{2} b^{8} x^{6} + b^{9} x^{5}\right)}}, \frac{446355 \, {\left(a^{11} x^{7} - 2 \, a^{9} b x^{6} + a^{7} b^{2} x^{5}\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x} \sqrt{-a}}{a x}\right) + {\left(567694 \, a^{11} x^{6} - 1027230 \, a^{9} b x^{5} + 409856 \, a^{7} b^{2} x^{4} + 30976 \, a^{5} b^{3} x^{3} + 8960 \, a^{3} b^{4} x^{2} + 9744 \, a b^{5} x + {\left(121339 \, a^{10} x^{5} - 148243 \, a^{8} b x^{4} + 12416 \, a^{6} b^{2} x^{3} + 5248 \, a^{4} b^{3} x^{2} + 2688 \, a^{2} b^{4} x - 4368 \, b^{5}\right)} \sqrt{a^{2} x^{2} - b x}\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x}}{16380 \, {\left(a^{4} b^{7} x^{7} - 2 \, a^{2} b^{8} x^{6} + b^{9} x^{5}\right)}}\right]"," ",0,"[1/32760*(446355*(a^11*x^7 - 2*a^9*b*x^6 + a^7*b^2*x^5)*sqrt(a)*log((a^2*x^2 + 2*sqrt(a^2*x^2 - b*x)*a*x - b*x - 2*sqrt(a^2*x^2 - b*x)*sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x)*sqrt(a))/(a^2*x^2 - b*x)) + 2*(567694*a^11*x^6 - 1027230*a^9*b*x^5 + 409856*a^7*b^2*x^4 + 30976*a^5*b^3*x^3 + 8960*a^3*b^4*x^2 + 9744*a*b^5*x + (121339*a^10*x^5 - 148243*a^8*b*x^4 + 12416*a^6*b^2*x^3 + 5248*a^4*b^3*x^2 + 2688*a^2*b^4*x - 4368*b^5)*sqrt(a^2*x^2 - b*x))*sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x))/(a^4*b^7*x^7 - 2*a^2*b^8*x^6 + b^9*x^5), 1/16380*(446355*(a^11*x^7 - 2*a^9*b*x^6 + a^7*b^2*x^5)*sqrt(-a)*arctan(sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x)*sqrt(-a)/(a*x)) + (567694*a^11*x^6 - 1027230*a^9*b*x^5 + 409856*a^7*b^2*x^4 + 30976*a^5*b^3*x^3 + 8960*a^3*b^4*x^2 + 9744*a*b^5*x + (121339*a^10*x^5 - 148243*a^8*b*x^4 + 12416*a^6*b^2*x^3 + 5248*a^4*b^3*x^2 + 2688*a^2*b^4*x - 4368*b^5)*sqrt(a^2*x^2 - b*x))*sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x))/(a^4*b^7*x^7 - 2*a^2*b^8*x^6 + b^9*x^5)]","A",0
2836,-1,0,0,0.000000," ","integrate((a-2*b+x)*(-b+x)/((-a+x)*(-b+x))^(1/3)/(a^4-b^2*d-2*(2*a^3-b*d)*x+(6*a^2-d)*x^2-4*a*x^3+x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2837,-1,0,0,0.000000," ","integrate((-1+x)*x*(1+(-2+k)*x)/((1-x)*x*(-k*x+1))^(1/3)/(1-4*k*x+(6*k^2-b)*x^2+(-4*k^3+2*b)*x^3+(k^4-b)*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2838,1,534,0,4.913510," ","integrate((x^3-1)^(2/3)*(x^6+4)/x^6/(x^6-4),x, algorithm=""fricas"")","\frac{10 \cdot 12^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} x^{5} \log\left(-\frac{18 \cdot 12^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 12^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{3} + 2\right)} - 36 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x}{x^{3} + 2}\right) - 5 \cdot 12^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} x^{5} \log\left(-\frac{6 \cdot 12^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(4 \, x^{4} - x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} - 12^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(55 \, x^{6} - 50 \, x^{3} + 4\right)} - 18 \, {\left(7 \, x^{5} - 4 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x^{6} + 4 \, x^{3} + 4}\right) + 20 \cdot 4^{\frac{1}{6}} \sqrt{3} x^{5} \arctan\left(\frac{4^{\frac{1}{6}} {\left(12 \cdot 4^{\frac{2}{3}} \sqrt{3} {\left(2 \, x^{7} - 5 \, x^{4} + 2 \, x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} \sqrt{3} {\left(91 \, x^{9} - 168 \, x^{6} + 84 \, x^{3} - 8\right)} + 12 \, \sqrt{3} {\left(19 \, x^{8} - 22 \, x^{5} + 4 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}\right)}}{6 \, {\left(53 \, x^{9} - 48 \, x^{6} - 12 \, x^{3} + 8\right)}}\right) + 10 \cdot 4^{\frac{2}{3}} x^{5} \log\left(\frac{6 \cdot 4^{\frac{1}{3}} {\left(x^{3} - 1\right)}^{\frac{1}{3}} x^{2} + 4^{\frac{2}{3}} {\left(x^{3} - 2\right)} - 12 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}} x}{x^{3} - 2}\right) - 5 \cdot 4^{\frac{2}{3}} x^{5} \log\left(\frac{6 \cdot 4^{\frac{2}{3}} {\left(2 \, x^{4} - x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} {\left(19 \, x^{6} - 22 \, x^{3} + 4\right)} + 6 \, {\left(5 \, x^{5} - 4 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x^{6} - 4 \, x^{3} + 4}\right) - 60 \cdot 12^{\frac{1}{6}} \left(-1\right)^{\frac{1}{3}} x^{5} \arctan\left(\frac{12^{\frac{1}{6}} {\left(12 \cdot 12^{\frac{2}{3}} \left(-1\right)^{\frac{2}{3}} {\left(4 \, x^{7} + 7 \, x^{4} - 2 \, x\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}} + 36 \, \left(-1\right)^{\frac{1}{3}} {\left(55 \, x^{8} - 50 \, x^{5} + 4 \, x^{2}\right)} {\left(x^{3} - 1\right)}^{\frac{1}{3}} - 12^{\frac{1}{3}} {\left(377 \, x^{9} - 600 \, x^{6} + 204 \, x^{3} - 8\right)}\right)}}{6 \, {\left(487 \, x^{9} - 480 \, x^{6} + 12 \, x^{3} + 8\right)}}\right) - 144 \, {\left(x^{3} - 1\right)}^{\frac{5}{3}}}{720 \, x^{5}}"," ",0,"1/720*(10*12^(2/3)*(-1)^(1/3)*x^5*log(-(18*12^(1/3)*(-1)^(2/3)*(x^3 - 1)^(1/3)*x^2 + 12^(2/3)*(-1)^(1/3)*(x^3 + 2) - 36*(x^3 - 1)^(2/3)*x)/(x^3 + 2)) - 5*12^(2/3)*(-1)^(1/3)*x^5*log(-(6*12^(2/3)*(-1)^(1/3)*(4*x^4 - x)*(x^3 - 1)^(2/3) - 12^(1/3)*(-1)^(2/3)*(55*x^6 - 50*x^3 + 4) - 18*(7*x^5 - 4*x^2)*(x^3 - 1)^(1/3))/(x^6 + 4*x^3 + 4)) + 20*4^(1/6)*sqrt(3)*x^5*arctan(1/6*4^(1/6)*(12*4^(2/3)*sqrt(3)*(2*x^7 - 5*x^4 + 2*x)*(x^3 - 1)^(2/3) + 4^(1/3)*sqrt(3)*(91*x^9 - 168*x^6 + 84*x^3 - 8) + 12*sqrt(3)*(19*x^8 - 22*x^5 + 4*x^2)*(x^3 - 1)^(1/3))/(53*x^9 - 48*x^6 - 12*x^3 + 8)) + 10*4^(2/3)*x^5*log((6*4^(1/3)*(x^3 - 1)^(1/3)*x^2 + 4^(2/3)*(x^3 - 2) - 12*(x^3 - 1)^(2/3)*x)/(x^3 - 2)) - 5*4^(2/3)*x^5*log((6*4^(2/3)*(2*x^4 - x)*(x^3 - 1)^(2/3) + 4^(1/3)*(19*x^6 - 22*x^3 + 4) + 6*(5*x^5 - 4*x^2)*(x^3 - 1)^(1/3))/(x^6 - 4*x^3 + 4)) - 60*12^(1/6)*(-1)^(1/3)*x^5*arctan(1/6*12^(1/6)*(12*12^(2/3)*(-1)^(2/3)*(4*x^7 + 7*x^4 - 2*x)*(x^3 - 1)^(2/3) + 36*(-1)^(1/3)*(55*x^8 - 50*x^5 + 4*x^2)*(x^3 - 1)^(1/3) - 12^(1/3)*(377*x^9 - 600*x^6 + 204*x^3 - 8))/(487*x^9 - 480*x^6 + 12*x^3 + 8)) - 144*(x^3 - 1)^(5/3))/x^5","B",0
2839,1,584,0,0.651887," ","integrate((c+(a*x+(a^2*x^2-b)^(1/2))^(1/4))^(1/6)/(a^2*x^2-b)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(4 \, \sqrt{3} a \left(\frac{c}{a^{6}}\right)^{\frac{1}{6}} \arctan\left(\frac{2 \, \sqrt{3} \sqrt{a^{2} \left(\frac{c}{a^{6}}\right)^{\frac{1}{3}} + a {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}} \left(\frac{c}{a^{6}}\right)^{\frac{1}{6}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}} a^{5} \left(\frac{c}{a^{6}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} a^{5} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}} \left(\frac{c}{a^{6}}\right)^{\frac{5}{6}} - \sqrt{3} c}{3 \, c}\right) + 4 \, \sqrt{3} a \left(\frac{c}{a^{6}}\right)^{\frac{1}{6}} \arctan\left(\frac{2 \, \sqrt{3} \sqrt{a^{2} \left(\frac{c}{a^{6}}\right)^{\frac{1}{3}} - a {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}} \left(\frac{c}{a^{6}}\right)^{\frac{1}{6}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}} a^{5} \left(\frac{c}{a^{6}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} a^{5} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}} \left(\frac{c}{a^{6}}\right)^{\frac{5}{6}} + \sqrt{3} c}{3 \, c}\right) - a \left(\frac{c}{a^{6}}\right)^{\frac{1}{6}} \log\left(64 \, a^{2} \left(\frac{c}{a^{6}}\right)^{\frac{1}{3}} + 64 \, a {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}} \left(\frac{c}{a^{6}}\right)^{\frac{1}{6}} + 64 \, {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}\right) + a \left(\frac{c}{a^{6}}\right)^{\frac{1}{6}} \log\left(64 \, a^{2} \left(\frac{c}{a^{6}}\right)^{\frac{1}{3}} - 64 \, a {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}} \left(\frac{c}{a^{6}}\right)^{\frac{1}{6}} + 64 \, {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}\right) - 2 \, a \left(\frac{c}{a^{6}}\right)^{\frac{1}{6}} \log\left(4 \, a \left(\frac{c}{a^{6}}\right)^{\frac{1}{6}} + 4 \, {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}}\right) + 2 \, a \left(\frac{c}{a^{6}}\right)^{\frac{1}{6}} \log\left(-4 \, a \left(\frac{c}{a^{6}}\right)^{\frac{1}{6}} + 4 \, {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}}\right) + 12 \, {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}}\right)}}{a}"," ",0,"2*(4*sqrt(3)*a*(c/a^6)^(1/6)*arctan(1/3*(2*sqrt(3)*sqrt(a^2*(c/a^6)^(1/3) + a*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)*(c/a^6)^(1/6) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3))*a^5*(c/a^6)^(5/6) - 2*sqrt(3)*a^5*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)*(c/a^6)^(5/6) - sqrt(3)*c)/c) + 4*sqrt(3)*a*(c/a^6)^(1/6)*arctan(1/3*(2*sqrt(3)*sqrt(a^2*(c/a^6)^(1/3) - a*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)*(c/a^6)^(1/6) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3))*a^5*(c/a^6)^(5/6) - 2*sqrt(3)*a^5*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)*(c/a^6)^(5/6) + sqrt(3)*c)/c) - a*(c/a^6)^(1/6)*log(64*a^2*(c/a^6)^(1/3) + 64*a*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)*(c/a^6)^(1/6) + 64*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)) + a*(c/a^6)^(1/6)*log(64*a^2*(c/a^6)^(1/3) - 64*a*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)*(c/a^6)^(1/6) + 64*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)) - 2*a*(c/a^6)^(1/6)*log(4*a*(c/a^6)^(1/6) + 4*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)) + 2*a*(c/a^6)^(1/6)*log(-4*a*(c/a^6)^(1/6) + 4*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)) + 12*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6))/a","B",0
2840,-1,0,0,0.000000," ","integrate((-b+x)*(a*b-2*b*x+x^2)/(x*(-a+x)*(-b+x)^2)^(2/3)/(b*d-(a+d)*x+x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2841,-1,0,0,0.000000," ","integrate((c*x^4-d)/x/(a*x^3-b)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2842,-1,0,0,0.000000," ","integrate((a*b-2*b*x+x^2)/(x*(-a+x)*(-b+x)^2)^(1/3)/(b-(a*d+1)*x+d*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2843,-1,0,0,0.000000," ","integrate((-a*b^2+(4*a-b)*b*x-3*a*x^2+x^3)/(x*(-a+x)*(-b+x)^2)^(1/3)/(-a^2+(b^2*d+2*a)*x-(2*b*d+1)*x^2+d*x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2844,1,798,0,1.967139," ","integrate((-4*a+b+3*x)*(-b^3+3*b^2*x-3*b*x^2+x^3)/((-a+x)*(-b+x)^2)^(2/3)/(b^4+a*d-(4*b^3+d)*x+6*b^2*x^2-4*b*x^3+x^4),x, algorithm=""fricas"")","\left[\frac{\sqrt{3} d \sqrt{-\frac{1}{d^{\frac{2}{3}}}} \log\left(-\frac{b^{4} + 6 \, b^{2} x^{2} - 4 \, b x^{3} + x^{4} - 2 \, a d - 2 \, {\left(2 \, b^{3} - d\right)} x + \sqrt{3} {\left({\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(b^{2} - 2 \, b x + x^{2}\right)} d^{\frac{2}{3}} - 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d + {\left(b^{4} - 4 \, b^{3} x + 6 \, b^{2} x^{2} - 4 \, b x^{3} + x^{4}\right)} d^{\frac{1}{3}}\right)} \sqrt{-\frac{1}{d^{\frac{2}{3}}}} - 3 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(b^{2} - 2 \, b x + x^{2}\right)} d^{\frac{1}{3}}}{b^{4} + 6 \, b^{2} x^{2} - 4 \, b x^{3} + x^{4} + a d - {\left(4 \, b^{3} + d\right)} x}\right) - d^{\frac{2}{3}} \log\left(\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(b^{2} - 2 \, b x + x^{2}\right)} d^{\frac{2}{3}} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d + {\left(b^{4} - 4 \, b^{3} x + 6 \, b^{2} x^{2} - 4 \, b x^{3} + x^{4}\right)} d^{\frac{1}{3}}}{b^{4} - 4 \, b^{3} x + 6 \, b^{2} x^{2} - 4 \, b x^{3} + x^{4}}\right) + 2 \, d^{\frac{2}{3}} \log\left(-\frac{{\left(b^{2} - 2 \, b x + x^{2}\right)} d^{\frac{2}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} d}{b^{2} - 2 \, b x + x^{2}}\right)}{2 \, d}, -\frac{2 \, \sqrt{3} d^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left({\left(b^{2} - 2 \, b x + x^{2}\right)} d^{\frac{1}{3}} + 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} d^{\frac{2}{3}}\right)}}{3 \, {\left(b^{2} - 2 \, b x + x^{2}\right)} d^{\frac{1}{3}}}\right) + d^{\frac{2}{3}} \log\left(\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(b^{2} - 2 \, b x + x^{2}\right)} d^{\frac{2}{3}} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d + {\left(b^{4} - 4 \, b^{3} x + 6 \, b^{2} x^{2} - 4 \, b x^{3} + x^{4}\right)} d^{\frac{1}{3}}}{b^{4} - 4 \, b^{3} x + 6 \, b^{2} x^{2} - 4 \, b x^{3} + x^{4}}\right) - 2 \, d^{\frac{2}{3}} \log\left(-\frac{{\left(b^{2} - 2 \, b x + x^{2}\right)} d^{\frac{2}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} d}{b^{2} - 2 \, b x + x^{2}}\right)}{2 \, d}\right]"," ",0,"[1/2*(sqrt(3)*d*sqrt(-1/d^(2/3))*log(-(b^4 + 6*b^2*x^2 - 4*b*x^3 + x^4 - 2*a*d - 2*(2*b^3 - d)*x + sqrt(3)*((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(b^2 - 2*b*x + x^2)*d^(2/3) - 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d + (b^4 - 4*b^3*x + 6*b^2*x^2 - 4*b*x^3 + x^4)*d^(1/3))*sqrt(-1/d^(2/3)) - 3*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(b^2 - 2*b*x + x^2)*d^(1/3))/(b^4 + 6*b^2*x^2 - 4*b*x^3 + x^4 + a*d - (4*b^3 + d)*x)) - d^(2/3)*log(((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(b^2 - 2*b*x + x^2)*d^(2/3) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d + (b^4 - 4*b^3*x + 6*b^2*x^2 - 4*b*x^3 + x^4)*d^(1/3))/(b^4 - 4*b^3*x + 6*b^2*x^2 - 4*b*x^3 + x^4)) + 2*d^(2/3)*log(-((b^2 - 2*b*x + x^2)*d^(2/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*d)/(b^2 - 2*b*x + x^2)))/d, -1/2*(2*sqrt(3)*d^(2/3)*arctan(1/3*sqrt(3)*((b^2 - 2*b*x + x^2)*d^(1/3) + 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*d^(2/3))/((b^2 - 2*b*x + x^2)*d^(1/3))) + d^(2/3)*log(((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(b^2 - 2*b*x + x^2)*d^(2/3) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d + (b^4 - 4*b^3*x + 6*b^2*x^2 - 4*b*x^3 + x^4)*d^(1/3))/(b^4 - 4*b^3*x + 6*b^2*x^2 - 4*b*x^3 + x^4)) - 2*d^(2/3)*log(-((b^2 - 2*b*x + x^2)*d^(2/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*d)/(b^2 - 2*b*x + x^2)))/d]","A",0
2845,1,441,0,0.863174," ","integrate((a*x^4-b*x^3)^(1/4)/x/(c*x-d),x, algorithm=""fricas"")","4 \, \left(-\frac{b c - a d}{c^{4} d}\right)^{\frac{1}{4}} \arctan\left(-\frac{c^{3} d x \sqrt{\frac{c^{2} x^{2} \sqrt{-\frac{b c - a d}{c^{4} d}} + \sqrt{a x^{4} - b x^{3}}}{x^{2}}} \left(-\frac{b c - a d}{c^{4} d}\right)^{\frac{3}{4}} - {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} c^{3} d \left(-\frac{b c - a d}{c^{4} d}\right)^{\frac{3}{4}}}{{\left(b c - a d\right)} x}\right) - 4 \, \left(\frac{a}{c^{4}}\right)^{\frac{1}{4}} \arctan\left(\frac{c^{3} x \sqrt{\frac{c^{2} x^{2} \sqrt{\frac{a}{c^{4}}} + \sqrt{a x^{4} - b x^{3}}}{x^{2}}} \left(\frac{a}{c^{4}}\right)^{\frac{3}{4}} - {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} c^{3} \left(\frac{a}{c^{4}}\right)^{\frac{3}{4}}}{a x}\right) + \left(\frac{a}{c^{4}}\right)^{\frac{1}{4}} \log\left(\frac{c x \left(\frac{a}{c^{4}}\right)^{\frac{1}{4}} + {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \left(\frac{a}{c^{4}}\right)^{\frac{1}{4}} \log\left(-\frac{c x \left(\frac{a}{c^{4}}\right)^{\frac{1}{4}} - {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \left(-\frac{b c - a d}{c^{4} d}\right)^{\frac{1}{4}} \log\left(\frac{c x \left(-\frac{b c - a d}{c^{4} d}\right)^{\frac{1}{4}} + {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \left(-\frac{b c - a d}{c^{4} d}\right)^{\frac{1}{4}} \log\left(-\frac{c x \left(-\frac{b c - a d}{c^{4} d}\right)^{\frac{1}{4}} - {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"4*(-(b*c - a*d)/(c^4*d))^(1/4)*arctan(-(c^3*d*x*sqrt((c^2*x^2*sqrt(-(b*c - a*d)/(c^4*d)) + sqrt(a*x^4 - b*x^3))/x^2)*(-(b*c - a*d)/(c^4*d))^(3/4) - (a*x^4 - b*x^3)^(1/4)*c^3*d*(-(b*c - a*d)/(c^4*d))^(3/4))/((b*c - a*d)*x)) - 4*(a/c^4)^(1/4)*arctan((c^3*x*sqrt((c^2*x^2*sqrt(a/c^4) + sqrt(a*x^4 - b*x^3))/x^2)*(a/c^4)^(3/4) - (a*x^4 - b*x^3)^(1/4)*c^3*(a/c^4)^(3/4))/(a*x)) + (a/c^4)^(1/4)*log((c*x*(a/c^4)^(1/4) + (a*x^4 - b*x^3)^(1/4))/x) - (a/c^4)^(1/4)*log(-(c*x*(a/c^4)^(1/4) - (a*x^4 - b*x^3)^(1/4))/x) - (-(b*c - a*d)/(c^4*d))^(1/4)*log((c*x*(-(b*c - a*d)/(c^4*d))^(1/4) + (a*x^4 - b*x^3)^(1/4))/x) + (-(b*c - a*d)/(c^4*d))^(1/4)*log(-(c*x*(-(b*c - a*d)/(c^4*d))^(1/4) - (a*x^4 - b*x^3)^(1/4))/x)","A",0
2846,-1,0,0,0.000000," ","integrate((-a+x)*(-b+x)*(-2*a*b*x+(a+b)*x^2)/(x*(-a+x)*(-b+x))^(2/3)/(a^2*b^2*d-2*a*b*(a+b)*d*x+(a^2+4*a*b+b^2)*d*x^2-2*(a+b)*d*x^3+(-1+d)*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2847,1,1837,0,57.794602," ","integrate((x^6+x^3+1)/(x^5+x^3)^(1/4)/(-x^6+1),x, algorithm=""fricas"")","-\frac{1}{4} \cdot 2^{\frac{3}{4}} \arctan\left(-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{5} + x^{3}} x + 2^{\frac{1}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{4} - 2 \, x^{3} + x^{2}\right)}}\right) + \frac{1}{16} \cdot 2^{\frac{3}{4}} \log\left(\frac{4 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{5} + x^{3}} x + 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} - 2 \, x^{3} + x^{2}}\right) - \frac{1}{16} \cdot 2^{\frac{3}{4}} \log\left(\frac{4 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{5} + x^{3}} x + 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} - 2 \, x^{3} + x^{2}}\right) - \frac{1}{2} \, \sqrt{2} \arctan\left(-\frac{x^{6} + 2 \, x^{5} + 3 \, x^{4} + 2 \, x^{3} + 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(x^{2} - 3 \, x + 1\right)} + x^{2} + 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(3 \, x^{4} - x^{3} + 3 \, x^{2}\right)} + 4 \, \sqrt{x^{5} + x^{3}} {\left(x^{3} + x^{2} + x\right)} - {\left(2 \, \sqrt{2} \sqrt{x^{5} + x^{3}} {\left(x^{3} - 3 \, x^{2} + x\right)} + 16 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} x + \sqrt{2} {\left(x^{6} - 8 \, x^{5} + x^{4} - 8 \, x^{3} + x^{2}\right)} + 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + x^{3} + x^{2}\right)}\right)} \sqrt{\frac{x^{4} + x^{3} + 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + x^{2} + 4 \, \sqrt{x^{5} + x^{3}} x + 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} + x^{3} + x^{2}}}}{x^{6} - 14 \, x^{5} + 3 \, x^{4} - 14 \, x^{3} + x^{2}}\right) + \frac{1}{2} \, \sqrt{2} \arctan\left(-\frac{x^{6} + 2 \, x^{5} + 3 \, x^{4} + 2 \, x^{3} - 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(x^{2} - 3 \, x + 1\right)} + x^{2} - 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(3 \, x^{4} - x^{3} + 3 \, x^{2}\right)} + 4 \, \sqrt{x^{5} + x^{3}} {\left(x^{3} + x^{2} + x\right)} + {\left(2 \, \sqrt{2} \sqrt{x^{5} + x^{3}} {\left(x^{3} - 3 \, x^{2} + x\right)} - 16 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} x + \sqrt{2} {\left(x^{6} - 8 \, x^{5} + x^{4} - 8 \, x^{3} + x^{2}\right)} - 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + x^{3} + x^{2}\right)}\right)} \sqrt{\frac{x^{4} + x^{3} - 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + x^{2} + 4 \, \sqrt{x^{5} + x^{3}} x - 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} + x^{3} + x^{2}}}}{x^{6} - 14 \, x^{5} + 3 \, x^{4} - 14 \, x^{3} + x^{2}}\right) + \frac{1}{8} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{4} + x^{3} + 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + x^{2} + 4 \, \sqrt{x^{5} + x^{3}} x + 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}\right)}}{x^{4} + x^{3} + x^{2}}\right) - \frac{1}{8} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{4} + x^{3} - 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + x^{2} + 4 \, \sqrt{x^{5} + x^{3}} x - 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}\right)}}{x^{4} + x^{3} + x^{2}}\right) + \frac{1}{12} \cdot 2^{\frac{1}{4}} \arctan\left(\frac{2 \, x^{6} + 8 \, x^{5} + 12 \, x^{4} + 8 \, x^{3} + 4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(x^{2} - 6 \, x + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{5} + x^{3}} {\left(x^{3} + 2 \, x^{2} + x\right)} + 2 \, x^{2} + \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} x + 2^{\frac{3}{4}} {\left(x^{6} - 16 \, x^{5} - 2 \, x^{4} - 16 \, x^{3} + x^{2}\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{5} + x^{3}} {\left(x^{3} - 6 \, x^{2} + x\right)} + 8 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)}\right)} \sqrt{\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} + 8 \, \sqrt{x^{5} + x^{3}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} + 2 \, x^{3} + x^{2}}} + 8 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(3 \, x^{4} - 2 \, x^{3} + 3 \, x^{2}\right)}}{2 \, {\left(x^{6} - 28 \, x^{5} + 6 \, x^{4} - 28 \, x^{3} + x^{2}\right)}}\right) - \frac{1}{12} \cdot 2^{\frac{1}{4}} \arctan\left(\frac{2 \, x^{6} + 8 \, x^{5} + 12 \, x^{4} + 8 \, x^{3} - 4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(x^{2} - 6 \, x + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{5} + x^{3}} {\left(x^{3} + 2 \, x^{2} + x\right)} + 2 \, x^{2} + \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} x - 2^{\frac{3}{4}} {\left(x^{6} - 16 \, x^{5} - 2 \, x^{4} - 16 \, x^{3} + x^{2}\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{5} + x^{3}} {\left(x^{3} - 6 \, x^{2} + x\right)} + 8 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)}\right)} \sqrt{-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} - 8 \, \sqrt{x^{5} + x^{3}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} + 2 \, x^{3} + x^{2}}} - 8 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(3 \, x^{4} - 2 \, x^{3} + 3 \, x^{2}\right)}}{2 \, {\left(x^{6} - 28 \, x^{5} + 6 \, x^{4} - 28 \, x^{3} + x^{2}\right)}}\right) + \frac{1}{48} \cdot 2^{\frac{1}{4}} \log\left(\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} + 8 \, \sqrt{x^{5} + x^{3}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}\right)}}{x^{4} + 2 \, x^{3} + x^{2}}\right) - \frac{1}{48} \cdot 2^{\frac{1}{4}} \log\left(-\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} - 8 \, \sqrt{x^{5} + x^{3}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}\right)}}{x^{4} + 2 \, x^{3} + x^{2}}\right) + \frac{1}{6} \, \arctan\left(\frac{2 \, {\left({\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}\right)}}{x^{4} - x^{3} + x^{2}}\right) + \frac{1}{6} \, \log\left(\frac{x^{4} + x^{3} + 2 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + x^{2} + 2 \, \sqrt{x^{5} + x^{3}} x + 2 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} - x^{3} + x^{2}}\right)"," ",0,"-1/4*2^(3/4)*arctan(-1/2*(4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 - 2^(3/4)*(2*2^(3/4)*sqrt(x^5 + x^3)*x + 2^(1/4)*(x^4 + 2*x^3 + x^2)) + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 - 2*x^3 + x^2)) + 1/16*2^(3/4)*log((4*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 + 2^(3/4)*(x^4 + 2*x^3 + x^2) + 4*2^(1/4)*sqrt(x^5 + x^3)*x + 4*(x^5 + x^3)^(3/4))/(x^4 - 2*x^3 + x^2)) - 1/16*2^(3/4)*log((4*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 - 2^(3/4)*(x^4 + 2*x^3 + x^2) - 4*2^(1/4)*sqrt(x^5 + x^3)*x + 4*(x^5 + x^3)^(3/4))/(x^4 - 2*x^3 + x^2)) - 1/2*sqrt(2)*arctan(-(x^6 + 2*x^5 + 3*x^4 + 2*x^3 + 2*sqrt(2)*(x^5 + x^3)^(3/4)*(x^2 - 3*x + 1) + x^2 + 2*sqrt(2)*(x^5 + x^3)^(1/4)*(3*x^4 - x^3 + 3*x^2) + 4*sqrt(x^5 + x^3)*(x^3 + x^2 + x) - (2*sqrt(2)*sqrt(x^5 + x^3)*(x^3 - 3*x^2 + x) + 16*(x^5 + x^3)^(3/4)*x + sqrt(2)*(x^6 - 8*x^5 + x^4 - 8*x^3 + x^2) + 4*(x^5 + x^3)^(1/4)*(x^4 + x^3 + x^2))*sqrt((x^4 + x^3 + 2*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 + x^2 + 4*sqrt(x^5 + x^3)*x + 2*sqrt(2)*(x^5 + x^3)^(3/4))/(x^4 + x^3 + x^2)))/(x^6 - 14*x^5 + 3*x^4 - 14*x^3 + x^2)) + 1/2*sqrt(2)*arctan(-(x^6 + 2*x^5 + 3*x^4 + 2*x^3 - 2*sqrt(2)*(x^5 + x^3)^(3/4)*(x^2 - 3*x + 1) + x^2 - 2*sqrt(2)*(x^5 + x^3)^(1/4)*(3*x^4 - x^3 + 3*x^2) + 4*sqrt(x^5 + x^3)*(x^3 + x^2 + x) + (2*sqrt(2)*sqrt(x^5 + x^3)*(x^3 - 3*x^2 + x) - 16*(x^5 + x^3)^(3/4)*x + sqrt(2)*(x^6 - 8*x^5 + x^4 - 8*x^3 + x^2) - 4*(x^5 + x^3)^(1/4)*(x^4 + x^3 + x^2))*sqrt((x^4 + x^3 - 2*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 + x^2 + 4*sqrt(x^5 + x^3)*x - 2*sqrt(2)*(x^5 + x^3)^(3/4))/(x^4 + x^3 + x^2)))/(x^6 - 14*x^5 + 3*x^4 - 14*x^3 + x^2)) + 1/8*sqrt(2)*log(4*(x^4 + x^3 + 2*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 + x^2 + 4*sqrt(x^5 + x^3)*x + 2*sqrt(2)*(x^5 + x^3)^(3/4))/(x^4 + x^3 + x^2)) - 1/8*sqrt(2)*log(4*(x^4 + x^3 - 2*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 + x^2 + 4*sqrt(x^5 + x^3)*x - 2*sqrt(2)*(x^5 + x^3)^(3/4))/(x^4 + x^3 + x^2)) + 1/12*2^(1/4)*arctan(1/2*(2*x^6 + 8*x^5 + 12*x^4 + 8*x^3 + 4*2^(3/4)*(x^5 + x^3)^(3/4)*(x^2 - 6*x + 1) + 8*sqrt(2)*sqrt(x^5 + x^3)*(x^3 + 2*x^2 + x) + 2*x^2 + sqrt(2)*(32*sqrt(2)*(x^5 + x^3)^(3/4)*x + 2^(3/4)*(x^6 - 16*x^5 - 2*x^4 - 16*x^3 + x^2) + 4*2^(1/4)*sqrt(x^5 + x^3)*(x^3 - 6*x^2 + x) + 8*(x^5 + x^3)^(1/4)*(x^4 + 2*x^3 + x^2))*sqrt((4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 + sqrt(2)*(x^4 + 2*x^3 + x^2) + 8*sqrt(x^5 + x^3)*x + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 + 2*x^3 + x^2)) + 8*2^(1/4)*(x^5 + x^3)^(1/4)*(3*x^4 - 2*x^3 + 3*x^2))/(x^6 - 28*x^5 + 6*x^4 - 28*x^3 + x^2)) - 1/12*2^(1/4)*arctan(1/2*(2*x^6 + 8*x^5 + 12*x^4 + 8*x^3 - 4*2^(3/4)*(x^5 + x^3)^(3/4)*(x^2 - 6*x + 1) + 8*sqrt(2)*sqrt(x^5 + x^3)*(x^3 + 2*x^2 + x) + 2*x^2 + sqrt(2)*(32*sqrt(2)*(x^5 + x^3)^(3/4)*x - 2^(3/4)*(x^6 - 16*x^5 - 2*x^4 - 16*x^3 + x^2) - 4*2^(1/4)*sqrt(x^5 + x^3)*(x^3 - 6*x^2 + x) + 8*(x^5 + x^3)^(1/4)*(x^4 + 2*x^3 + x^2))*sqrt(-(4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 - sqrt(2)*(x^4 + 2*x^3 + x^2) - 8*sqrt(x^5 + x^3)*x + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 + 2*x^3 + x^2)) - 8*2^(1/4)*(x^5 + x^3)^(1/4)*(3*x^4 - 2*x^3 + 3*x^2))/(x^6 - 28*x^5 + 6*x^4 - 28*x^3 + x^2)) + 1/48*2^(1/4)*log(8*(4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 + sqrt(2)*(x^4 + 2*x^3 + x^2) + 8*sqrt(x^5 + x^3)*x + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 + 2*x^3 + x^2)) - 1/48*2^(1/4)*log(-8*(4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 - sqrt(2)*(x^4 + 2*x^3 + x^2) - 8*sqrt(x^5 + x^3)*x + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 + 2*x^3 + x^2)) + 1/6*arctan(2*((x^5 + x^3)^(1/4)*x^2 + (x^5 + x^3)^(3/4))/(x^4 - x^3 + x^2)) + 1/6*log((x^4 + x^3 + 2*(x^5 + x^3)^(1/4)*x^2 + x^2 + 2*sqrt(x^5 + x^3)*x + 2*(x^5 + x^3)^(3/4))/(x^4 - x^3 + x^2))","B",0
2848,1,491,0,1.148479," ","integrate((-a-b*x+(a*k^2+b)*x^2)/((1-x)*x*(-k^2*x+1))^(1/2)/(k^2*x^2-2*x+1),x, algorithm=""fricas"")","\left[-\frac{{\left(2 \, a k^{2} + b\right)} \sqrt{-k^{2} + 1} \log\left(\frac{k^{4} x^{4} - 4 \, {\left(2 \, k^{4} - k^{2}\right)} x^{3} + 2 \, {\left(4 \, k^{4} + k^{2} - 2\right)} x^{2} - 4 \, \sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 2 \, k^{2} x + 1\right)} \sqrt{-k^{2} + 1} - 4 \, {\left(2 \, k^{2} - 1\right)} x + 1}{k^{4} x^{4} - 4 \, k^{2} x^{3} + 2 \, {\left(k^{2} + 2\right)} x^{2} - 4 \, x + 1}\right) - {\left(b k^{2} - b\right)} \log\left(\frac{k^{4} x^{4} + 4 \, k^{2} x^{3} - 2 \, {\left(3 \, k^{2} + 2\right)} x^{2} - 4 \, \sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 1\right)} + 4 \, x + 1}{k^{4} x^{4} - 4 \, k^{2} x^{3} + 2 \, {\left(k^{2} + 2\right)} x^{2} - 4 \, x + 1}\right)}{4 \, {\left(k^{4} - k^{2}\right)}}, \frac{2 \, {\left(2 \, a k^{2} + b\right)} \sqrt{k^{2} - 1} \arctan\left(\frac{\sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 2 \, k^{2} x + 1\right)} \sqrt{k^{2} - 1}}{2 \, {\left({\left(k^{4} - k^{2}\right)} x^{3} - {\left(k^{4} - 1\right)} x^{2} + {\left(k^{2} - 1\right)} x\right)}}\right) + {\left(b k^{2} - b\right)} \log\left(\frac{k^{4} x^{4} + 4 \, k^{2} x^{3} - 2 \, {\left(3 \, k^{2} + 2\right)} x^{2} - 4 \, \sqrt{k^{2} x^{3} - {\left(k^{2} + 1\right)} x^{2} + x} {\left(k^{2} x^{2} - 1\right)} + 4 \, x + 1}{k^{4} x^{4} - 4 \, k^{2} x^{3} + 2 \, {\left(k^{2} + 2\right)} x^{2} - 4 \, x + 1}\right)}{4 \, {\left(k^{4} - k^{2}\right)}}\right]"," ",0,"[-1/4*((2*a*k^2 + b)*sqrt(-k^2 + 1)*log((k^4*x^4 - 4*(2*k^4 - k^2)*x^3 + 2*(4*k^4 + k^2 - 2)*x^2 - 4*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 2*k^2*x + 1)*sqrt(-k^2 + 1) - 4*(2*k^2 - 1)*x + 1)/(k^4*x^4 - 4*k^2*x^3 + 2*(k^2 + 2)*x^2 - 4*x + 1)) - (b*k^2 - b)*log((k^4*x^4 + 4*k^2*x^3 - 2*(3*k^2 + 2)*x^2 - 4*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 1) + 4*x + 1)/(k^4*x^4 - 4*k^2*x^3 + 2*(k^2 + 2)*x^2 - 4*x + 1)))/(k^4 - k^2), 1/4*(2*(2*a*k^2 + b)*sqrt(k^2 - 1)*arctan(1/2*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 2*k^2*x + 1)*sqrt(k^2 - 1)/((k^4 - k^2)*x^3 - (k^4 - 1)*x^2 + (k^2 - 1)*x)) + (b*k^2 - b)*log((k^4*x^4 + 4*k^2*x^3 - 2*(3*k^2 + 2)*x^2 - 4*sqrt(k^2*x^3 - (k^2 + 1)*x^2 + x)*(k^2*x^2 - 1) + 4*x + 1)/(k^4*x^4 - 4*k^2*x^3 + 2*(k^2 + 2)*x^2 - 4*x + 1)))/(k^4 - k^2)]","A",0
2849,1,1982,0,0.602619," ","integrate((x^8-2*x^4+1)/(x^4-1)^(1/4)/(2*x^8-2*x^4+1),x, algorithm=""fricas"")","\frac{1}{16} \, \sqrt{2} \sqrt{-\sqrt{2} + 2} \arctan\left(-\frac{x {\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} - 3 \, x \sqrt{\sqrt{2} + 2} - {\left(x {\left(\sqrt{2} + 2\right)} - x\right)} \sqrt{-\sqrt{2} + 2} - 2 \, x \sqrt{\frac{2 \, x^{2} + {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x {\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} - 3 \, \sqrt{2} x \sqrt{\sqrt{2} + 2} - {\left(\sqrt{2} x {\left(\sqrt{2} + 2\right)} - \sqrt{2} x\right)} \sqrt{-\sqrt{2} + 2}\right)} + 2 \, \sqrt{x^{4} - 1}}{x^{2}}} + 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x {\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} - 3 \, x \sqrt{\sqrt{2} + 2} + {\left(x {\left(\sqrt{2} + 2\right)} - x\right)} \sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{16} \, \sqrt{2} \sqrt{-\sqrt{2} + 2} \arctan\left(\frac{x {\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} - 3 \, x \sqrt{\sqrt{2} + 2} - {\left(x {\left(\sqrt{2} + 2\right)} - x\right)} \sqrt{-\sqrt{2} + 2} + 2 \, x \sqrt{\frac{2 \, x^{2} - {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x {\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} - 3 \, \sqrt{2} x \sqrt{\sqrt{2} + 2} - {\left(\sqrt{2} x {\left(\sqrt{2} + 2\right)} - \sqrt{2} x\right)} \sqrt{-\sqrt{2} + 2}\right)} + 2 \, \sqrt{x^{4} - 1}}{x^{2}}} - 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x {\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} - 3 \, x \sqrt{\sqrt{2} + 2} + {\left(x {\left(\sqrt{2} + 2\right)} - x\right)} \sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{16} \, \sqrt{2} \sqrt{\sqrt{2} + 2} \arctan\left(\frac{x {\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} - 3 \, x \sqrt{\sqrt{2} + 2} + {\left(x {\left(\sqrt{2} + 2\right)} - x\right)} \sqrt{-\sqrt{2} + 2} - 2 \, x \sqrt{\frac{2 \, x^{2} + {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x {\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} - 3 \, \sqrt{2} x \sqrt{\sqrt{2} + 2} + {\left(\sqrt{2} x {\left(\sqrt{2} + 2\right)} - \sqrt{2} x\right)} \sqrt{-\sqrt{2} + 2}\right)} + 2 \, \sqrt{x^{4} - 1}}{x^{2}}} + 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x {\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} - 3 \, x \sqrt{\sqrt{2} + 2} - {\left(x {\left(\sqrt{2} + 2\right)} - x\right)} \sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{16} \, \sqrt{2} \sqrt{\sqrt{2} + 2} \arctan\left(-\frac{x {\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} - 3 \, x \sqrt{\sqrt{2} + 2} + {\left(x {\left(\sqrt{2} + 2\right)} - x\right)} \sqrt{-\sqrt{2} + 2} + 2 \, x \sqrt{\frac{2 \, x^{2} - {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x {\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} - 3 \, \sqrt{2} x \sqrt{\sqrt{2} + 2} + {\left(\sqrt{2} x {\left(\sqrt{2} + 2\right)} - \sqrt{2} x\right)} \sqrt{-\sqrt{2} + 2}\right)} + 2 \, \sqrt{x^{4} - 1}}{x^{2}}} - 2 \, \sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x {\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} - 3 \, x \sqrt{\sqrt{2} + 2} - {\left(x {\left(\sqrt{2} + 2\right)} - x\right)} \sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{16} \, {\left(\sqrt{\sqrt{2} + 2} + \sqrt{-\sqrt{2} + 2}\right)} \arctan\left(-\frac{{\left(x {\left(\sqrt{2} + 2\right)} - x\right)} \sqrt{-\sqrt{2} + 2} - 2 \, x \sqrt{\frac{x^{2} + {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(x {\left(\sqrt{2} + 2\right)} - x\right)} \sqrt{-\sqrt{2} + 2} + \sqrt{x^{4} - 1}}{x^{2}}} + 2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x {\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} - 3 \, x \sqrt{\sqrt{2} + 2}}\right) + \frac{1}{16} \, {\left(\sqrt{\sqrt{2} + 2} + \sqrt{-\sqrt{2} + 2}\right)} \arctan\left(\frac{{\left(x {\left(\sqrt{2} + 2\right)} - x\right)} \sqrt{-\sqrt{2} + 2} + 2 \, x \sqrt{\frac{x^{2} - {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(x {\left(\sqrt{2} + 2\right)} - x\right)} \sqrt{-\sqrt{2} + 2} + \sqrt{x^{4} - 1}}{x^{2}}} - 2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x {\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} - 3 \, x \sqrt{\sqrt{2} + 2}}\right) + \frac{1}{16} \, {\left(\sqrt{\sqrt{2} + 2} - \sqrt{-\sqrt{2} + 2}\right)} \arctan\left(-\frac{x {\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} - 3 \, x \sqrt{\sqrt{2} + 2} - 2 \, x \sqrt{\frac{x^{2} + {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(x {\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} - 3 \, x \sqrt{\sqrt{2} + 2}\right)} + \sqrt{x^{4} - 1}}{x^{2}}} + 2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{{\left(x {\left(\sqrt{2} + 2\right)} - x\right)} \sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{16} \, {\left(\sqrt{\sqrt{2} + 2} - \sqrt{-\sqrt{2} + 2}\right)} \arctan\left(\frac{x {\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} - 3 \, x \sqrt{\sqrt{2} + 2} + 2 \, x \sqrt{\frac{x^{2} - {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(x {\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} - 3 \, x \sqrt{\sqrt{2} + 2}\right)} + \sqrt{x^{4} - 1}}{x^{2}}} - 2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{{\left(x {\left(\sqrt{2} + 2\right)} - x\right)} \sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{64} \, \sqrt{2} \sqrt{-\sqrt{2} + 2} \log\left(\frac{32 \, {\left(2 \, x^{2} + {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x {\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} - 3 \, \sqrt{2} x \sqrt{\sqrt{2} + 2} + {\left(\sqrt{2} x {\left(\sqrt{2} + 2\right)} - \sqrt{2} x\right)} \sqrt{-\sqrt{2} + 2}\right)} + 2 \, \sqrt{x^{4} - 1}\right)}}{x^{2}}\right) - \frac{1}{64} \, \sqrt{2} \sqrt{-\sqrt{2} + 2} \log\left(\frac{32 \, {\left(2 \, x^{2} - {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x {\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} - 3 \, \sqrt{2} x \sqrt{\sqrt{2} + 2} + {\left(\sqrt{2} x {\left(\sqrt{2} + 2\right)} - \sqrt{2} x\right)} \sqrt{-\sqrt{2} + 2}\right)} + 2 \, \sqrt{x^{4} - 1}\right)}}{x^{2}}\right) - \frac{1}{64} \, \sqrt{2} \sqrt{\sqrt{2} + 2} \log\left(\frac{32 \, {\left(2 \, x^{2} + {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x {\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} - 3 \, \sqrt{2} x \sqrt{\sqrt{2} + 2} - {\left(\sqrt{2} x {\left(\sqrt{2} + 2\right)} - \sqrt{2} x\right)} \sqrt{-\sqrt{2} + 2}\right)} + 2 \, \sqrt{x^{4} - 1}\right)}}{x^{2}}\right) + \frac{1}{64} \, \sqrt{2} \sqrt{\sqrt{2} + 2} \log\left(\frac{32 \, {\left(2 \, x^{2} - {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(\sqrt{2} x {\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} - 3 \, \sqrt{2} x \sqrt{\sqrt{2} + 2} - {\left(\sqrt{2} x {\left(\sqrt{2} + 2\right)} - \sqrt{2} x\right)} \sqrt{-\sqrt{2} + 2}\right)} + 2 \, \sqrt{x^{4} - 1}\right)}}{x^{2}}\right) + \frac{1}{64} \, {\left(\sqrt{\sqrt{2} + 2} - \sqrt{-\sqrt{2} + 2}\right)} \log\left(\frac{256 \, {\left(x^{2} + {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(x {\left(\sqrt{2} + 2\right)} - x\right)} \sqrt{-\sqrt{2} + 2} + \sqrt{x^{4} - 1}\right)}}{x^{2}}\right) - \frac{1}{64} \, {\left(\sqrt{\sqrt{2} + 2} - \sqrt{-\sqrt{2} + 2}\right)} \log\left(\frac{256 \, {\left(x^{2} - {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(x {\left(\sqrt{2} + 2\right)} - x\right)} \sqrt{-\sqrt{2} + 2} + \sqrt{x^{4} - 1}\right)}}{x^{2}}\right) + \frac{1}{64} \, {\left(\sqrt{\sqrt{2} + 2} + \sqrt{-\sqrt{2} + 2}\right)} \log\left(\frac{256 \, {\left(x^{2} + {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(x {\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} - 3 \, x \sqrt{\sqrt{2} + 2}\right)} + \sqrt{x^{4} - 1}\right)}}{x^{2}}\right) - \frac{1}{64} \, {\left(\sqrt{\sqrt{2} + 2} + \sqrt{-\sqrt{2} + 2}\right)} \log\left(\frac{256 \, {\left(x^{2} - {\left(x^{4} - 1\right)}^{\frac{1}{4}} {\left(x {\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} - 3 \, x \sqrt{\sqrt{2} + 2}\right)} + \sqrt{x^{4} - 1}\right)}}{x^{2}}\right) - \frac{1}{4} \, \arctan\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{8} \, \log\left(\frac{x + {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{8} \, \log\left(-\frac{x - {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right)"," ",0,"1/16*sqrt(2)*sqrt(-sqrt(2) + 2)*arctan(-(x*(sqrt(2) + 2)^(3/2) - 3*x*sqrt(sqrt(2) + 2) - (x*(sqrt(2) + 2) - x)*sqrt(-sqrt(2) + 2) - 2*x*sqrt((2*x^2 + (x^4 - 1)^(1/4)*(sqrt(2)*x*(sqrt(2) + 2)^(3/2) - 3*sqrt(2)*x*sqrt(sqrt(2) + 2) - (sqrt(2)*x*(sqrt(2) + 2) - sqrt(2)*x)*sqrt(-sqrt(2) + 2)) + 2*sqrt(x^4 - 1))/x^2) + 2*sqrt(2)*(x^4 - 1)^(1/4))/(x*(sqrt(2) + 2)^(3/2) - 3*x*sqrt(sqrt(2) + 2) + (x*(sqrt(2) + 2) - x)*sqrt(-sqrt(2) + 2))) + 1/16*sqrt(2)*sqrt(-sqrt(2) + 2)*arctan((x*(sqrt(2) + 2)^(3/2) - 3*x*sqrt(sqrt(2) + 2) - (x*(sqrt(2) + 2) - x)*sqrt(-sqrt(2) + 2) + 2*x*sqrt((2*x^2 - (x^4 - 1)^(1/4)*(sqrt(2)*x*(sqrt(2) + 2)^(3/2) - 3*sqrt(2)*x*sqrt(sqrt(2) + 2) - (sqrt(2)*x*(sqrt(2) + 2) - sqrt(2)*x)*sqrt(-sqrt(2) + 2)) + 2*sqrt(x^4 - 1))/x^2) - 2*sqrt(2)*(x^4 - 1)^(1/4))/(x*(sqrt(2) + 2)^(3/2) - 3*x*sqrt(sqrt(2) + 2) + (x*(sqrt(2) + 2) - x)*sqrt(-sqrt(2) + 2))) + 1/16*sqrt(2)*sqrt(sqrt(2) + 2)*arctan((x*(sqrt(2) + 2)^(3/2) - 3*x*sqrt(sqrt(2) + 2) + (x*(sqrt(2) + 2) - x)*sqrt(-sqrt(2) + 2) - 2*x*sqrt((2*x^2 + (x^4 - 1)^(1/4)*(sqrt(2)*x*(sqrt(2) + 2)^(3/2) - 3*sqrt(2)*x*sqrt(sqrt(2) + 2) + (sqrt(2)*x*(sqrt(2) + 2) - sqrt(2)*x)*sqrt(-sqrt(2) + 2)) + 2*sqrt(x^4 - 1))/x^2) + 2*sqrt(2)*(x^4 - 1)^(1/4))/(x*(sqrt(2) + 2)^(3/2) - 3*x*sqrt(sqrt(2) + 2) - (x*(sqrt(2) + 2) - x)*sqrt(-sqrt(2) + 2))) + 1/16*sqrt(2)*sqrt(sqrt(2) + 2)*arctan(-(x*(sqrt(2) + 2)^(3/2) - 3*x*sqrt(sqrt(2) + 2) + (x*(sqrt(2) + 2) - x)*sqrt(-sqrt(2) + 2) + 2*x*sqrt((2*x^2 - (x^4 - 1)^(1/4)*(sqrt(2)*x*(sqrt(2) + 2)^(3/2) - 3*sqrt(2)*x*sqrt(sqrt(2) + 2) + (sqrt(2)*x*(sqrt(2) + 2) - sqrt(2)*x)*sqrt(-sqrt(2) + 2)) + 2*sqrt(x^4 - 1))/x^2) - 2*sqrt(2)*(x^4 - 1)^(1/4))/(x*(sqrt(2) + 2)^(3/2) - 3*x*sqrt(sqrt(2) + 2) - (x*(sqrt(2) + 2) - x)*sqrt(-sqrt(2) + 2))) + 1/16*(sqrt(sqrt(2) + 2) + sqrt(-sqrt(2) + 2))*arctan(-((x*(sqrt(2) + 2) - x)*sqrt(-sqrt(2) + 2) - 2*x*sqrt((x^2 + (x^4 - 1)^(1/4)*(x*(sqrt(2) + 2) - x)*sqrt(-sqrt(2) + 2) + sqrt(x^4 - 1))/x^2) + 2*(x^4 - 1)^(1/4))/(x*(sqrt(2) + 2)^(3/2) - 3*x*sqrt(sqrt(2) + 2))) + 1/16*(sqrt(sqrt(2) + 2) + sqrt(-sqrt(2) + 2))*arctan(((x*(sqrt(2) + 2) - x)*sqrt(-sqrt(2) + 2) + 2*x*sqrt((x^2 - (x^4 - 1)^(1/4)*(x*(sqrt(2) + 2) - x)*sqrt(-sqrt(2) + 2) + sqrt(x^4 - 1))/x^2) - 2*(x^4 - 1)^(1/4))/(x*(sqrt(2) + 2)^(3/2) - 3*x*sqrt(sqrt(2) + 2))) + 1/16*(sqrt(sqrt(2) + 2) - sqrt(-sqrt(2) + 2))*arctan(-(x*(sqrt(2) + 2)^(3/2) - 3*x*sqrt(sqrt(2) + 2) - 2*x*sqrt((x^2 + (x^4 - 1)^(1/4)*(x*(sqrt(2) + 2)^(3/2) - 3*x*sqrt(sqrt(2) + 2)) + sqrt(x^4 - 1))/x^2) + 2*(x^4 - 1)^(1/4))/((x*(sqrt(2) + 2) - x)*sqrt(-sqrt(2) + 2))) + 1/16*(sqrt(sqrt(2) + 2) - sqrt(-sqrt(2) + 2))*arctan((x*(sqrt(2) + 2)^(3/2) - 3*x*sqrt(sqrt(2) + 2) + 2*x*sqrt((x^2 - (x^4 - 1)^(1/4)*(x*(sqrt(2) + 2)^(3/2) - 3*x*sqrt(sqrt(2) + 2)) + sqrt(x^4 - 1))/x^2) - 2*(x^4 - 1)^(1/4))/((x*(sqrt(2) + 2) - x)*sqrt(-sqrt(2) + 2))) + 1/64*sqrt(2)*sqrt(-sqrt(2) + 2)*log(32*(2*x^2 + (x^4 - 1)^(1/4)*(sqrt(2)*x*(sqrt(2) + 2)^(3/2) - 3*sqrt(2)*x*sqrt(sqrt(2) + 2) + (sqrt(2)*x*(sqrt(2) + 2) - sqrt(2)*x)*sqrt(-sqrt(2) + 2)) + 2*sqrt(x^4 - 1))/x^2) - 1/64*sqrt(2)*sqrt(-sqrt(2) + 2)*log(32*(2*x^2 - (x^4 - 1)^(1/4)*(sqrt(2)*x*(sqrt(2) + 2)^(3/2) - 3*sqrt(2)*x*sqrt(sqrt(2) + 2) + (sqrt(2)*x*(sqrt(2) + 2) - sqrt(2)*x)*sqrt(-sqrt(2) + 2)) + 2*sqrt(x^4 - 1))/x^2) - 1/64*sqrt(2)*sqrt(sqrt(2) + 2)*log(32*(2*x^2 + (x^4 - 1)^(1/4)*(sqrt(2)*x*(sqrt(2) + 2)^(3/2) - 3*sqrt(2)*x*sqrt(sqrt(2) + 2) - (sqrt(2)*x*(sqrt(2) + 2) - sqrt(2)*x)*sqrt(-sqrt(2) + 2)) + 2*sqrt(x^4 - 1))/x^2) + 1/64*sqrt(2)*sqrt(sqrt(2) + 2)*log(32*(2*x^2 - (x^4 - 1)^(1/4)*(sqrt(2)*x*(sqrt(2) + 2)^(3/2) - 3*sqrt(2)*x*sqrt(sqrt(2) + 2) - (sqrt(2)*x*(sqrt(2) + 2) - sqrt(2)*x)*sqrt(-sqrt(2) + 2)) + 2*sqrt(x^4 - 1))/x^2) + 1/64*(sqrt(sqrt(2) + 2) - sqrt(-sqrt(2) + 2))*log(256*(x^2 + (x^4 - 1)^(1/4)*(x*(sqrt(2) + 2) - x)*sqrt(-sqrt(2) + 2) + sqrt(x^4 - 1))/x^2) - 1/64*(sqrt(sqrt(2) + 2) - sqrt(-sqrt(2) + 2))*log(256*(x^2 - (x^4 - 1)^(1/4)*(x*(sqrt(2) + 2) - x)*sqrt(-sqrt(2) + 2) + sqrt(x^4 - 1))/x^2) + 1/64*(sqrt(sqrt(2) + 2) + sqrt(-sqrt(2) + 2))*log(256*(x^2 + (x^4 - 1)^(1/4)*(x*(sqrt(2) + 2)^(3/2) - 3*x*sqrt(sqrt(2) + 2)) + sqrt(x^4 - 1))/x^2) - 1/64*(sqrt(sqrt(2) + 2) + sqrt(-sqrt(2) + 2))*log(256*(x^2 - (x^4 - 1)^(1/4)*(x*(sqrt(2) + 2)^(3/2) - 3*x*sqrt(sqrt(2) + 2)) + sqrt(x^4 - 1))/x^2) - 1/4*arctan((x^4 - 1)^(1/4)/x) + 1/8*log((x + (x^4 - 1)^(1/4))/x) - 1/8*log(-(x - (x^4 - 1)^(1/4))/x)","B",0
2850,1,359,0,0.583928," ","integrate((c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{15 \, b \sqrt{c} \log\left(-2 \, {\left(a \sqrt{c} x - \sqrt{a^{2} x^{2} + b} \sqrt{c}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}} - 2 \, {\left(a c x - \sqrt{a^{2} x^{2} + b} c\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} + b\right) - 2 \, {\left(16 \, c^{4} - 54 \, a c^{2} x + 6 \, \sqrt{a^{2} x^{2} + b} c^{2} - {\left(8 \, c^{3} + 15 \, a c x - 15 \, \sqrt{a^{2} x^{2} + b} c\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{120 \, a c^{2}}, -\frac{15 \, b \sqrt{-c} \arctan\left(\frac{\sqrt{-c} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{c}\right) + {\left(16 \, c^{4} - 54 \, a c^{2} x + 6 \, \sqrt{a^{2} x^{2} + b} c^{2} - {\left(8 \, c^{3} + 15 \, a c x - 15 \, \sqrt{a^{2} x^{2} + b} c\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{60 \, a c^{2}}\right]"," ",0,"[1/120*(15*b*sqrt(c)*log(-2*(a*sqrt(c)*x - sqrt(a^2*x^2 + b)*sqrt(c))*sqrt(a*x + sqrt(a^2*x^2 + b))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b))) - 2*(a*c*x - sqrt(a^2*x^2 + b)*c)*sqrt(a*x + sqrt(a^2*x^2 + b)) + b) - 2*(16*c^4 - 54*a*c^2*x + 6*sqrt(a^2*x^2 + b)*c^2 - (8*c^3 + 15*a*c*x - 15*sqrt(a^2*x^2 + b)*c)*sqrt(a*x + sqrt(a^2*x^2 + b)))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b))))/(a*c^2), -1/60*(15*b*sqrt(-c)*arctan(sqrt(-c)*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))/c) + (16*c^4 - 54*a*c^2*x + 6*sqrt(a^2*x^2 + b)*c^2 - (8*c^3 + 15*a*c*x - 15*sqrt(a^2*x^2 + b)*c)*sqrt(a*x + sqrt(a^2*x^2 + b)))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b))))/(a*c^2)]","A",0
2851,1,557,0,0.506414," ","integrate(x^3/(x^2*(-a+x))^(1/3)/(-a^4+4*a^3*x-6*a^2*x^2+4*a*x^3+(-1+d)*x^4),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{3} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} \arctan\left(\frac{2 \, \sqrt{3} a^{5} d^{4} x^{2} \sqrt{\frac{a^{2} d^{2} x^{2} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{3}} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} a d \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} {\left(a - x\right)}}{x^{2}}} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} a^{5} d^{4} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{5}{6}} - \sqrt{3} x^{2}}{3 \, x^{2}}\right) - \frac{1}{2} \, \sqrt{3} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} \arctan\left(\frac{2 \, \sqrt{3} a^{5} d^{4} x^{2} \sqrt{\frac{a^{2} d^{2} x^{2} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{3}} - {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} a d \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} {\left(a - x\right)}}{x^{2}}} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} a^{5} d^{4} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{5}{6}} + \sqrt{3} x^{2}}{3 \, x^{2}}\right) + \frac{1}{8} \, \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} \log\left(\frac{a^{2} d^{2} x^{2} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{3}} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} a d \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} {\left(a - x\right)}}{x^{2}}\right) - \frac{1}{8} \, \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} \log\left(\frac{a^{2} d^{2} x^{2} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{3}} - {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}} a d \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} - {\left(-a x^{2} + x^{3}\right)}^{\frac{1}{3}} {\left(a - x\right)}}{x^{2}}\right) + \frac{1}{4} \, \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} \log\left(\frac{a d x^{2} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} + {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}}}{x^{2}}\right) - \frac{1}{4} \, \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} \log\left(-\frac{a d x^{2} \left(\frac{1}{a^{6} d^{5}}\right)^{\frac{1}{6}} - {\left(-a x^{2} + x^{3}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-1/2*sqrt(3)*(1/(a^6*d^5))^(1/6)*arctan(1/3*(2*sqrt(3)*a^5*d^4*x^2*sqrt((a^2*d^2*x^2*(1/(a^6*d^5))^(1/3) + (-a*x^2 + x^3)^(2/3)*a*d*(1/(a^6*d^5))^(1/6) - (-a*x^2 + x^3)^(1/3)*(a - x))/x^2)*(1/(a^6*d^5))^(5/6) - 2*sqrt(3)*(-a*x^2 + x^3)^(2/3)*a^5*d^4*(1/(a^6*d^5))^(5/6) - sqrt(3)*x^2)/x^2) - 1/2*sqrt(3)*(1/(a^6*d^5))^(1/6)*arctan(1/3*(2*sqrt(3)*a^5*d^4*x^2*sqrt((a^2*d^2*x^2*(1/(a^6*d^5))^(1/3) - (-a*x^2 + x^3)^(2/3)*a*d*(1/(a^6*d^5))^(1/6) - (-a*x^2 + x^3)^(1/3)*(a - x))/x^2)*(1/(a^6*d^5))^(5/6) - 2*sqrt(3)*(-a*x^2 + x^3)^(2/3)*a^5*d^4*(1/(a^6*d^5))^(5/6) + sqrt(3)*x^2)/x^2) + 1/8*(1/(a^6*d^5))^(1/6)*log((a^2*d^2*x^2*(1/(a^6*d^5))^(1/3) + (-a*x^2 + x^3)^(2/3)*a*d*(1/(a^6*d^5))^(1/6) - (-a*x^2 + x^3)^(1/3)*(a - x))/x^2) - 1/8*(1/(a^6*d^5))^(1/6)*log((a^2*d^2*x^2*(1/(a^6*d^5))^(1/3) - (-a*x^2 + x^3)^(2/3)*a*d*(1/(a^6*d^5))^(1/6) - (-a*x^2 + x^3)^(1/3)*(a - x))/x^2) + 1/4*(1/(a^6*d^5))^(1/6)*log((a*d*x^2*(1/(a^6*d^5))^(1/6) + (-a*x^2 + x^3)^(2/3))/x^2) - 1/4*(1/(a^6*d^5))^(1/6)*log(-(a*d*x^2*(1/(a^6*d^5))^(1/6) - (-a*x^2 + x^3)^(2/3))/x^2)","B",0
2852,-1,0,0,0.000000," ","integrate((c+(a*x^2+x*(a^2*x^2-b)^(1/2))^(1/2))^(1/2)/(a^2*x^2-b)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2853,-1,0,0,0.000000," ","integrate((-a*(a*b+a*c-2*b*c)+2*(a^2-b*c)*x+(-2*a+b+c)*x^2)/((-a+x)*(-b+x)*(-c+x))^(2/3)/(-b*c+a^2*d+(-2*a*d+b+c)*x+(-1+d)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2854,-1,0,0,0.000000," ","integrate(x^2*(-2*a*b+(a+b)*x)/(x*(-a+x)*(-b+x))^(1/3)/(-a^2*b^2+2*a*b*(a+b)*x-(a^2+4*a*b+b^2)*x^2+2*(a+b)*x^3+(-1+d)*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2855,1,1837,0,56.837367," ","integrate((x^6+1)/(x^5+x^3)^(1/4)/(-x^6+1),x, algorithm=""fricas"")","-\frac{1}{6} \cdot 2^{\frac{3}{4}} \arctan\left(-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{x^{5} + x^{3}} x + 2^{\frac{1}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)}\right)} + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{2 \, {\left(x^{4} - 2 \, x^{3} + x^{2}\right)}}\right) + \frac{1}{24} \cdot 2^{\frac{3}{4}} \log\left(\frac{4 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + 2^{\frac{3}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{5} + x^{3}} x + 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} - 2 \, x^{3} + x^{2}}\right) - \frac{1}{24} \cdot 2^{\frac{3}{4}} \log\left(\frac{4 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} - 2^{\frac{3}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{5} + x^{3}} x + 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} - 2 \, x^{3} + x^{2}}\right) - \frac{1}{3} \, \sqrt{2} \arctan\left(-\frac{x^{6} + 2 \, x^{5} + 3 \, x^{4} + 2 \, x^{3} + 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(x^{2} - 3 \, x + 1\right)} + x^{2} + 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(3 \, x^{4} - x^{3} + 3 \, x^{2}\right)} + 4 \, \sqrt{x^{5} + x^{3}} {\left(x^{3} + x^{2} + x\right)} - {\left(2 \, \sqrt{2} \sqrt{x^{5} + x^{3}} {\left(x^{3} - 3 \, x^{2} + x\right)} + 16 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} x + \sqrt{2} {\left(x^{6} - 8 \, x^{5} + x^{4} - 8 \, x^{3} + x^{2}\right)} + 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + x^{3} + x^{2}\right)}\right)} \sqrt{\frac{x^{4} + x^{3} + 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + x^{2} + 4 \, \sqrt{x^{5} + x^{3}} x + 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} + x^{3} + x^{2}}}}{x^{6} - 14 \, x^{5} + 3 \, x^{4} - 14 \, x^{3} + x^{2}}\right) + \frac{1}{3} \, \sqrt{2} \arctan\left(-\frac{x^{6} + 2 \, x^{5} + 3 \, x^{4} + 2 \, x^{3} - 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(x^{2} - 3 \, x + 1\right)} + x^{2} - 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(3 \, x^{4} - x^{3} + 3 \, x^{2}\right)} + 4 \, \sqrt{x^{5} + x^{3}} {\left(x^{3} + x^{2} + x\right)} + {\left(2 \, \sqrt{2} \sqrt{x^{5} + x^{3}} {\left(x^{3} - 3 \, x^{2} + x\right)} - 16 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} x + \sqrt{2} {\left(x^{6} - 8 \, x^{5} + x^{4} - 8 \, x^{3} + x^{2}\right)} - 4 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + x^{3} + x^{2}\right)}\right)} \sqrt{\frac{x^{4} + x^{3} - 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + x^{2} + 4 \, \sqrt{x^{5} + x^{3}} x - 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} + x^{3} + x^{2}}}}{x^{6} - 14 \, x^{5} + 3 \, x^{4} - 14 \, x^{3} + x^{2}}\right) + \frac{1}{12} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{4} + x^{3} + 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + x^{2} + 4 \, \sqrt{x^{5} + x^{3}} x + 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}\right)}}{x^{4} + x^{3} + x^{2}}\right) - \frac{1}{12} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{4} + x^{3} - 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + x^{2} + 4 \, \sqrt{x^{5} + x^{3}} x - 2 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}\right)}}{x^{4} + x^{3} + x^{2}}\right) + \frac{1}{6} \cdot 2^{\frac{1}{4}} \arctan\left(\frac{2 \, x^{6} + 8 \, x^{5} + 12 \, x^{4} + 8 \, x^{3} + 4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(x^{2} - 6 \, x + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{5} + x^{3}} {\left(x^{3} + 2 \, x^{2} + x\right)} + 2 \, x^{2} + \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} x + 2^{\frac{3}{4}} {\left(x^{6} - 16 \, x^{5} - 2 \, x^{4} - 16 \, x^{3} + x^{2}\right)} + 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{5} + x^{3}} {\left(x^{3} - 6 \, x^{2} + x\right)} + 8 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)}\right)} \sqrt{\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} + 8 \, \sqrt{x^{5} + x^{3}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} + 2 \, x^{3} + x^{2}}} + 8 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(3 \, x^{4} - 2 \, x^{3} + 3 \, x^{2}\right)}}{2 \, {\left(x^{6} - 28 \, x^{5} + 6 \, x^{4} - 28 \, x^{3} + x^{2}\right)}}\right) - \frac{1}{6} \cdot 2^{\frac{1}{4}} \arctan\left(\frac{2 \, x^{6} + 8 \, x^{5} + 12 \, x^{4} + 8 \, x^{3} - 4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} {\left(x^{2} - 6 \, x + 1\right)} + 8 \, \sqrt{2} \sqrt{x^{5} + x^{3}} {\left(x^{3} + 2 \, x^{2} + x\right)} + 2 \, x^{2} + \sqrt{2} {\left(32 \, \sqrt{2} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}} x - 2^{\frac{3}{4}} {\left(x^{6} - 16 \, x^{5} - 2 \, x^{4} - 16 \, x^{3} + x^{2}\right)} - 4 \cdot 2^{\frac{1}{4}} \sqrt{x^{5} + x^{3}} {\left(x^{3} - 6 \, x^{2} + x\right)} + 8 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)}\right)} \sqrt{-\frac{4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} - 8 \, \sqrt{x^{5} + x^{3}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} + 2 \, x^{3} + x^{2}}} - 8 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(3 \, x^{4} - 2 \, x^{3} + 3 \, x^{2}\right)}}{2 \, {\left(x^{6} - 28 \, x^{5} + 6 \, x^{4} - 28 \, x^{3} + x^{2}\right)}}\right) + \frac{1}{24} \cdot 2^{\frac{1}{4}} \log\left(\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} + 8 \, \sqrt{x^{5} + x^{3}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}\right)}}{x^{4} + 2 \, x^{3} + x^{2}}\right) - \frac{1}{24} \cdot 2^{\frac{1}{4}} \log\left(-\frac{8 \, {\left(4 \cdot 2^{\frac{3}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(x^{4} + 2 \, x^{3} + x^{2}\right)} - 8 \, \sqrt{x^{5} + x^{3}} x + 4 \cdot 2^{\frac{1}{4}} {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}\right)}}{x^{4} + 2 \, x^{3} + x^{2}}\right) + \frac{1}{3} \, \arctan\left(\frac{2 \, {\left({\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}\right)}}{x^{4} - x^{3} + x^{2}}\right) + \frac{1}{3} \, \log\left(\frac{x^{4} + x^{3} + 2 \, {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x^{2} + x^{2} + 2 \, \sqrt{x^{5} + x^{3}} x + 2 \, {\left(x^{5} + x^{3}\right)}^{\frac{3}{4}}}{x^{4} - x^{3} + x^{2}}\right)"," ",0,"-1/6*2^(3/4)*arctan(-1/2*(4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 - 2^(3/4)*(2*2^(3/4)*sqrt(x^5 + x^3)*x + 2^(1/4)*(x^4 + 2*x^3 + x^2)) + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 - 2*x^3 + x^2)) + 1/24*2^(3/4)*log((4*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 + 2^(3/4)*(x^4 + 2*x^3 + x^2) + 4*2^(1/4)*sqrt(x^5 + x^3)*x + 4*(x^5 + x^3)^(3/4))/(x^4 - 2*x^3 + x^2)) - 1/24*2^(3/4)*log((4*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 - 2^(3/4)*(x^4 + 2*x^3 + x^2) - 4*2^(1/4)*sqrt(x^5 + x^3)*x + 4*(x^5 + x^3)^(3/4))/(x^4 - 2*x^3 + x^2)) - 1/3*sqrt(2)*arctan(-(x^6 + 2*x^5 + 3*x^4 + 2*x^3 + 2*sqrt(2)*(x^5 + x^3)^(3/4)*(x^2 - 3*x + 1) + x^2 + 2*sqrt(2)*(x^5 + x^3)^(1/4)*(3*x^4 - x^3 + 3*x^2) + 4*sqrt(x^5 + x^3)*(x^3 + x^2 + x) - (2*sqrt(2)*sqrt(x^5 + x^3)*(x^3 - 3*x^2 + x) + 16*(x^5 + x^3)^(3/4)*x + sqrt(2)*(x^6 - 8*x^5 + x^4 - 8*x^3 + x^2) + 4*(x^5 + x^3)^(1/4)*(x^4 + x^3 + x^2))*sqrt((x^4 + x^3 + 2*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 + x^2 + 4*sqrt(x^5 + x^3)*x + 2*sqrt(2)*(x^5 + x^3)^(3/4))/(x^4 + x^3 + x^2)))/(x^6 - 14*x^5 + 3*x^4 - 14*x^3 + x^2)) + 1/3*sqrt(2)*arctan(-(x^6 + 2*x^5 + 3*x^4 + 2*x^3 - 2*sqrt(2)*(x^5 + x^3)^(3/4)*(x^2 - 3*x + 1) + x^2 - 2*sqrt(2)*(x^5 + x^3)^(1/4)*(3*x^4 - x^3 + 3*x^2) + 4*sqrt(x^5 + x^3)*(x^3 + x^2 + x) + (2*sqrt(2)*sqrt(x^5 + x^3)*(x^3 - 3*x^2 + x) - 16*(x^5 + x^3)^(3/4)*x + sqrt(2)*(x^6 - 8*x^5 + x^4 - 8*x^3 + x^2) - 4*(x^5 + x^3)^(1/4)*(x^4 + x^3 + x^2))*sqrt((x^4 + x^3 - 2*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 + x^2 + 4*sqrt(x^5 + x^3)*x - 2*sqrt(2)*(x^5 + x^3)^(3/4))/(x^4 + x^3 + x^2)))/(x^6 - 14*x^5 + 3*x^4 - 14*x^3 + x^2)) + 1/12*sqrt(2)*log(4*(x^4 + x^3 + 2*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 + x^2 + 4*sqrt(x^5 + x^3)*x + 2*sqrt(2)*(x^5 + x^3)^(3/4))/(x^4 + x^3 + x^2)) - 1/12*sqrt(2)*log(4*(x^4 + x^3 - 2*sqrt(2)*(x^5 + x^3)^(1/4)*x^2 + x^2 + 4*sqrt(x^5 + x^3)*x - 2*sqrt(2)*(x^5 + x^3)^(3/4))/(x^4 + x^3 + x^2)) + 1/6*2^(1/4)*arctan(1/2*(2*x^6 + 8*x^5 + 12*x^4 + 8*x^3 + 4*2^(3/4)*(x^5 + x^3)^(3/4)*(x^2 - 6*x + 1) + 8*sqrt(2)*sqrt(x^5 + x^3)*(x^3 + 2*x^2 + x) + 2*x^2 + sqrt(2)*(32*sqrt(2)*(x^5 + x^3)^(3/4)*x + 2^(3/4)*(x^6 - 16*x^5 - 2*x^4 - 16*x^3 + x^2) + 4*2^(1/4)*sqrt(x^5 + x^3)*(x^3 - 6*x^2 + x) + 8*(x^5 + x^3)^(1/4)*(x^4 + 2*x^3 + x^2))*sqrt((4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 + sqrt(2)*(x^4 + 2*x^3 + x^2) + 8*sqrt(x^5 + x^3)*x + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 + 2*x^3 + x^2)) + 8*2^(1/4)*(x^5 + x^3)^(1/4)*(3*x^4 - 2*x^3 + 3*x^2))/(x^6 - 28*x^5 + 6*x^4 - 28*x^3 + x^2)) - 1/6*2^(1/4)*arctan(1/2*(2*x^6 + 8*x^5 + 12*x^4 + 8*x^3 - 4*2^(3/4)*(x^5 + x^3)^(3/4)*(x^2 - 6*x + 1) + 8*sqrt(2)*sqrt(x^5 + x^3)*(x^3 + 2*x^2 + x) + 2*x^2 + sqrt(2)*(32*sqrt(2)*(x^5 + x^3)^(3/4)*x - 2^(3/4)*(x^6 - 16*x^5 - 2*x^4 - 16*x^3 + x^2) - 4*2^(1/4)*sqrt(x^5 + x^3)*(x^3 - 6*x^2 + x) + 8*(x^5 + x^3)^(1/4)*(x^4 + 2*x^3 + x^2))*sqrt(-(4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 - sqrt(2)*(x^4 + 2*x^3 + x^2) - 8*sqrt(x^5 + x^3)*x + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 + 2*x^3 + x^2)) - 8*2^(1/4)*(x^5 + x^3)^(1/4)*(3*x^4 - 2*x^3 + 3*x^2))/(x^6 - 28*x^5 + 6*x^4 - 28*x^3 + x^2)) + 1/24*2^(1/4)*log(8*(4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 + sqrt(2)*(x^4 + 2*x^3 + x^2) + 8*sqrt(x^5 + x^3)*x + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 + 2*x^3 + x^2)) - 1/24*2^(1/4)*log(-8*(4*2^(3/4)*(x^5 + x^3)^(1/4)*x^2 - sqrt(2)*(x^4 + 2*x^3 + x^2) - 8*sqrt(x^5 + x^3)*x + 4*2^(1/4)*(x^5 + x^3)^(3/4))/(x^4 + 2*x^3 + x^2)) + 1/3*arctan(2*((x^5 + x^3)^(1/4)*x^2 + (x^5 + x^3)^(3/4))/(x^4 - x^3 + x^2)) + 1/3*log((x^4 + x^3 + 2*(x^5 + x^3)^(1/4)*x^2 + x^2 + 2*sqrt(x^5 + x^3)*x + 2*(x^5 + x^3)^(3/4))/(x^4 - x^3 + x^2))","B",0
2856,-1,0,0,0.000000," ","integrate((a^16*x^16+b^16)/(a^4*x^4-b^4)^(1/2)/(a^16*x^16-b^16),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2857,1,925,0,0.647960," ","integrate((a^3*x^3-b^2*x^2)^(1/3)/(a*x^2+b),x, algorithm=""fricas"")","-\sqrt{3} {\left(\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(a^{5} + b^{3}\right)} x + 2 \, {\left(\sqrt{3} a^{4} x \sqrt{-\frac{b^{3}}{a^{5}}} - \sqrt{3} a^{4} x\right)} {\left(\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}} \sqrt{\frac{a^{2} x^{2} {\left(\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} a x {\left(\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} a^{4} \sqrt{-\frac{b^{3}}{a^{5}}} - \sqrt{3} a^{4}\right)} {\left(\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}}}{3 \, {\left(a^{5} + b^{3}\right)} x}\right) + \sqrt{3} {\left(-\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} \arctan\left(-\frac{\sqrt{3} {\left(a^{5} + b^{3}\right)} x - 2 \, {\left(\sqrt{3} a^{4} x \sqrt{-\frac{b^{3}}{a^{5}}} + \sqrt{3} a^{4} x\right)} {\left(-\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}} \sqrt{\frac{a^{2} x^{2} {\left(-\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} a x {\left(-\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 2 \, {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} a^{4} \sqrt{-\frac{b^{3}}{a^{5}}} + \sqrt{3} a^{4}\right)} {\left(-\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}}}{3 \, {\left(a^{5} + b^{3}\right)} x}\right) + \sqrt{3} \arctan\left(\frac{\sqrt{3} a x + 2 \, \sqrt{3} {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{3 \, a x}\right) + \frac{1}{2} \, {\left(\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} \log\left(-\frac{a x {\left(\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} - {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, {\left(-\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} \log\left(-\frac{a x {\left(-\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} - {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{4} \, {\left(\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} \log\left(\frac{4 \, {\left(a^{2} x^{2} {\left(\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} a x {\left(\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - \frac{1}{4} \, {\left(-\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} \log\left(\frac{4 \, {\left(a^{2} x^{2} {\left(-\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} a x {\left(-\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - \log\left(-\frac{a x - {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, \log\left(\frac{a^{2} x^{2} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} a x + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-sqrt(3)*(sqrt(-b^3/a^5) + 1)^(1/3)*arctan(1/3*(sqrt(3)*(a^5 + b^3)*x + 2*(sqrt(3)*a^4*x*sqrt(-b^3/a^5) - sqrt(3)*a^4*x)*(sqrt(-b^3/a^5) + 1)^(2/3)*sqrt((a^2*x^2*(sqrt(-b^3/a^5) + 1)^(2/3) + (a^3*x^3 - b^2*x^2)^(1/3)*a*x*(sqrt(-b^3/a^5) + 1)^(1/3) + (a^3*x^3 - b^2*x^2)^(2/3))/x^2) - 2*(a^3*x^3 - b^2*x^2)^(1/3)*(sqrt(3)*a^4*sqrt(-b^3/a^5) - sqrt(3)*a^4)*(sqrt(-b^3/a^5) + 1)^(2/3))/((a^5 + b^3)*x)) + sqrt(3)*(-sqrt(-b^3/a^5) + 1)^(1/3)*arctan(-1/3*(sqrt(3)*(a^5 + b^3)*x - 2*(sqrt(3)*a^4*x*sqrt(-b^3/a^5) + sqrt(3)*a^4*x)*(-sqrt(-b^3/a^5) + 1)^(2/3)*sqrt((a^2*x^2*(-sqrt(-b^3/a^5) + 1)^(2/3) + (a^3*x^3 - b^2*x^2)^(1/3)*a*x*(-sqrt(-b^3/a^5) + 1)^(1/3) + (a^3*x^3 - b^2*x^2)^(2/3))/x^2) + 2*(a^3*x^3 - b^2*x^2)^(1/3)*(sqrt(3)*a^4*sqrt(-b^3/a^5) + sqrt(3)*a^4)*(-sqrt(-b^3/a^5) + 1)^(2/3))/((a^5 + b^3)*x)) + sqrt(3)*arctan(1/3*(sqrt(3)*a*x + 2*sqrt(3)*(a^3*x^3 - b^2*x^2)^(1/3))/(a*x)) + 1/2*(sqrt(-b^3/a^5) + 1)^(1/3)*log(-(a*x*(sqrt(-b^3/a^5) + 1)^(1/3) - (a^3*x^3 - b^2*x^2)^(1/3))/x) + 1/2*(-sqrt(-b^3/a^5) + 1)^(1/3)*log(-(a*x*(-sqrt(-b^3/a^5) + 1)^(1/3) - (a^3*x^3 - b^2*x^2)^(1/3))/x) - 1/4*(sqrt(-b^3/a^5) + 1)^(1/3)*log(4*(a^2*x^2*(sqrt(-b^3/a^5) + 1)^(2/3) + (a^3*x^3 - b^2*x^2)^(1/3)*a*x*(sqrt(-b^3/a^5) + 1)^(1/3) + (a^3*x^3 - b^2*x^2)^(2/3))/x^2) - 1/4*(-sqrt(-b^3/a^5) + 1)^(1/3)*log(4*(a^2*x^2*(-sqrt(-b^3/a^5) + 1)^(2/3) + (a^3*x^3 - b^2*x^2)^(1/3)*a*x*(-sqrt(-b^3/a^5) + 1)^(1/3) + (a^3*x^3 - b^2*x^2)^(2/3))/x^2) - log(-(a*x - (a^3*x^3 - b^2*x^2)^(1/3))/x) + 1/2*log((a^2*x^2 + (a^3*x^3 - b^2*x^2)^(1/3)*a*x + (a^3*x^3 - b^2*x^2)^(2/3))/x^2)","B",0
2858,1,925,0,0.633258," ","integrate((a^3*x^3-b^2*x^2)^(1/3)/(a*x^2+b),x, algorithm=""fricas"")","-\sqrt{3} {\left(\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(a^{5} + b^{3}\right)} x + 2 \, {\left(\sqrt{3} a^{4} x \sqrt{-\frac{b^{3}}{a^{5}}} - \sqrt{3} a^{4} x\right)} {\left(\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}} \sqrt{\frac{a^{2} x^{2} {\left(\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} a x {\left(\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} a^{4} \sqrt{-\frac{b^{3}}{a^{5}}} - \sqrt{3} a^{4}\right)} {\left(\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}}}{3 \, {\left(a^{5} + b^{3}\right)} x}\right) + \sqrt{3} {\left(-\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} \arctan\left(-\frac{\sqrt{3} {\left(a^{5} + b^{3}\right)} x - 2 \, {\left(\sqrt{3} a^{4} x \sqrt{-\frac{b^{3}}{a^{5}}} + \sqrt{3} a^{4} x\right)} {\left(-\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}} \sqrt{\frac{a^{2} x^{2} {\left(-\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} a x {\left(-\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 2 \, {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} a^{4} \sqrt{-\frac{b^{3}}{a^{5}}} + \sqrt{3} a^{4}\right)} {\left(-\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}}}{3 \, {\left(a^{5} + b^{3}\right)} x}\right) + \sqrt{3} \arctan\left(\frac{\sqrt{3} a x + 2 \, \sqrt{3} {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{3 \, a x}\right) + \frac{1}{2} \, {\left(\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} \log\left(-\frac{a x {\left(\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} - {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, {\left(-\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} \log\left(-\frac{a x {\left(-\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} - {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{4} \, {\left(\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} \log\left(\frac{4 \, {\left(a^{2} x^{2} {\left(\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} a x {\left(\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - \frac{1}{4} \, {\left(-\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} \log\left(\frac{4 \, {\left(a^{2} x^{2} {\left(-\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} a x {\left(-\sqrt{-\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - \log\left(-\frac{a x - {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, \log\left(\frac{a^{2} x^{2} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} a x + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-sqrt(3)*(sqrt(-b^3/a^5) + 1)^(1/3)*arctan(1/3*(sqrt(3)*(a^5 + b^3)*x + 2*(sqrt(3)*a^4*x*sqrt(-b^3/a^5) - sqrt(3)*a^4*x)*(sqrt(-b^3/a^5) + 1)^(2/3)*sqrt((a^2*x^2*(sqrt(-b^3/a^5) + 1)^(2/3) + (a^3*x^3 - b^2*x^2)^(1/3)*a*x*(sqrt(-b^3/a^5) + 1)^(1/3) + (a^3*x^3 - b^2*x^2)^(2/3))/x^2) - 2*(a^3*x^3 - b^2*x^2)^(1/3)*(sqrt(3)*a^4*sqrt(-b^3/a^5) - sqrt(3)*a^4)*(sqrt(-b^3/a^5) + 1)^(2/3))/((a^5 + b^3)*x)) + sqrt(3)*(-sqrt(-b^3/a^5) + 1)^(1/3)*arctan(-1/3*(sqrt(3)*(a^5 + b^3)*x - 2*(sqrt(3)*a^4*x*sqrt(-b^3/a^5) + sqrt(3)*a^4*x)*(-sqrt(-b^3/a^5) + 1)^(2/3)*sqrt((a^2*x^2*(-sqrt(-b^3/a^5) + 1)^(2/3) + (a^3*x^3 - b^2*x^2)^(1/3)*a*x*(-sqrt(-b^3/a^5) + 1)^(1/3) + (a^3*x^3 - b^2*x^2)^(2/3))/x^2) + 2*(a^3*x^3 - b^2*x^2)^(1/3)*(sqrt(3)*a^4*sqrt(-b^3/a^5) + sqrt(3)*a^4)*(-sqrt(-b^3/a^5) + 1)^(2/3))/((a^5 + b^3)*x)) + sqrt(3)*arctan(1/3*(sqrt(3)*a*x + 2*sqrt(3)*(a^3*x^3 - b^2*x^2)^(1/3))/(a*x)) + 1/2*(sqrt(-b^3/a^5) + 1)^(1/3)*log(-(a*x*(sqrt(-b^3/a^5) + 1)^(1/3) - (a^3*x^3 - b^2*x^2)^(1/3))/x) + 1/2*(-sqrt(-b^3/a^5) + 1)^(1/3)*log(-(a*x*(-sqrt(-b^3/a^5) + 1)^(1/3) - (a^3*x^3 - b^2*x^2)^(1/3))/x) - 1/4*(sqrt(-b^3/a^5) + 1)^(1/3)*log(4*(a^2*x^2*(sqrt(-b^3/a^5) + 1)^(2/3) + (a^3*x^3 - b^2*x^2)^(1/3)*a*x*(sqrt(-b^3/a^5) + 1)^(1/3) + (a^3*x^3 - b^2*x^2)^(2/3))/x^2) - 1/4*(-sqrt(-b^3/a^5) + 1)^(1/3)*log(4*(a^2*x^2*(-sqrt(-b^3/a^5) + 1)^(2/3) + (a^3*x^3 - b^2*x^2)^(1/3)*a*x*(-sqrt(-b^3/a^5) + 1)^(1/3) + (a^3*x^3 - b^2*x^2)^(2/3))/x^2) - log(-(a*x - (a^3*x^3 - b^2*x^2)^(1/3))/x) + 1/2*log((a^2*x^2 + (a^3*x^3 - b^2*x^2)^(1/3)*a*x + (a^3*x^3 - b^2*x^2)^(2/3))/x^2)","B",0
2859,1,215,0,2.285809," ","integrate((a^8*x^8+b^8+x^4)/(a^4*x^4-b^4)^(1/2)/(a^8*x^8-b^8),x, algorithm=""fricas"")","-\frac{4 \, {\left(2 \, a^{5} b^{5} + a b\right)} \sqrt{a^{4} x^{4} - b^{4}} x + 2 \, {\left(2 \, a^{4} b^{8} - {\left(2 \, a^{8} b^{4} - a^{4}\right)} x^{4} - b^{4}\right)} \arctan\left(\frac{\sqrt{a^{4} x^{4} - b^{4}} a x}{a^{2} b x^{2} + b^{3}}\right) + {\left(2 \, a^{4} b^{8} - {\left(2 \, a^{8} b^{4} - a^{4}\right)} x^{4} - b^{4}\right)} \log\left(\frac{a^{4} x^{4} + 2 \, a^{2} b^{2} x^{2} - b^{4} - 2 \, \sqrt{a^{4} x^{4} - b^{4}} a b x}{a^{4} x^{4} + b^{4}}\right)}{16 \, {\left(a^{9} b^{5} x^{4} - a^{5} b^{9}\right)}}"," ",0,"-1/16*(4*(2*a^5*b^5 + a*b)*sqrt(a^4*x^4 - b^4)*x + 2*(2*a^4*b^8 - (2*a^8*b^4 - a^4)*x^4 - b^4)*arctan(sqrt(a^4*x^4 - b^4)*a*x/(a^2*b*x^2 + b^3)) + (2*a^4*b^8 - (2*a^8*b^4 - a^4)*x^4 - b^4)*log((a^4*x^4 + 2*a^2*b^2*x^2 - b^4 - 2*sqrt(a^4*x^4 - b^4)*a*b*x)/(a^4*x^4 + b^4)))/(a^9*b^5*x^4 - a^5*b^9)","A",0
2860,1,909,0,0.631175," ","integrate((a^3*x^3-b^2*x^2)^(1/3)/(a*x^2-b),x, algorithm=""fricas"")","\sqrt{3} {\left(\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} \arctan\left(-\frac{\sqrt{3} {\left(a^{5} - b^{3}\right)} x + 2 \, {\left(\sqrt{3} a^{4} x \sqrt{\frac{b^{3}}{a^{5}}} - \sqrt{3} a^{4} x\right)} {\left(\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}} \sqrt{\frac{a^{2} x^{2} {\left(\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} a x {\left(\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} a^{4} \sqrt{\frac{b^{3}}{a^{5}}} - \sqrt{3} a^{4}\right)} {\left(\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}}}{3 \, {\left(a^{5} - b^{3}\right)} x}\right) - \sqrt{3} {\left(-\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(a^{5} - b^{3}\right)} x - 2 \, {\left(\sqrt{3} a^{4} x \sqrt{\frac{b^{3}}{a^{5}}} + \sqrt{3} a^{4} x\right)} {\left(-\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}} \sqrt{\frac{a^{2} x^{2} {\left(-\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} a x {\left(-\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 2 \, {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} a^{4} \sqrt{\frac{b^{3}}{a^{5}}} + \sqrt{3} a^{4}\right)} {\left(-\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}}}{3 \, {\left(a^{5} - b^{3}\right)} x}\right) + \sqrt{3} \arctan\left(\frac{\sqrt{3} a x + 2 \, \sqrt{3} {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{3 \, a x}\right) + \frac{1}{2} \, {\left(\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} \log\left(-\frac{a x {\left(\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} - {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, {\left(-\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} \log\left(-\frac{a x {\left(-\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} - {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{4} \, {\left(\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} \log\left(\frac{4 \, {\left(a^{2} x^{2} {\left(\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} a x {\left(\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - \frac{1}{4} \, {\left(-\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} \log\left(\frac{4 \, {\left(a^{2} x^{2} {\left(-\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} a x {\left(-\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - \log\left(-\frac{a x - {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, \log\left(\frac{a^{2} x^{2} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} a x + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"sqrt(3)*(sqrt(b^3/a^5) + 1)^(1/3)*arctan(-1/3*(sqrt(3)*(a^5 - b^3)*x + 2*(sqrt(3)*a^4*x*sqrt(b^3/a^5) - sqrt(3)*a^4*x)*(sqrt(b^3/a^5) + 1)^(2/3)*sqrt((a^2*x^2*(sqrt(b^3/a^5) + 1)^(2/3) + (a^3*x^3 - b^2*x^2)^(1/3)*a*x*(sqrt(b^3/a^5) + 1)^(1/3) + (a^3*x^3 - b^2*x^2)^(2/3))/x^2) - 2*(a^3*x^3 - b^2*x^2)^(1/3)*(sqrt(3)*a^4*sqrt(b^3/a^5) - sqrt(3)*a^4)*(sqrt(b^3/a^5) + 1)^(2/3))/((a^5 - b^3)*x)) - sqrt(3)*(-sqrt(b^3/a^5) + 1)^(1/3)*arctan(1/3*(sqrt(3)*(a^5 - b^3)*x - 2*(sqrt(3)*a^4*x*sqrt(b^3/a^5) + sqrt(3)*a^4*x)*(-sqrt(b^3/a^5) + 1)^(2/3)*sqrt((a^2*x^2*(-sqrt(b^3/a^5) + 1)^(2/3) + (a^3*x^3 - b^2*x^2)^(1/3)*a*x*(-sqrt(b^3/a^5) + 1)^(1/3) + (a^3*x^3 - b^2*x^2)^(2/3))/x^2) + 2*(a^3*x^3 - b^2*x^2)^(1/3)*(sqrt(3)*a^4*sqrt(b^3/a^5) + sqrt(3)*a^4)*(-sqrt(b^3/a^5) + 1)^(2/3))/((a^5 - b^3)*x)) + sqrt(3)*arctan(1/3*(sqrt(3)*a*x + 2*sqrt(3)*(a^3*x^3 - b^2*x^2)^(1/3))/(a*x)) + 1/2*(sqrt(b^3/a^5) + 1)^(1/3)*log(-(a*x*(sqrt(b^3/a^5) + 1)^(1/3) - (a^3*x^3 - b^2*x^2)^(1/3))/x) + 1/2*(-sqrt(b^3/a^5) + 1)^(1/3)*log(-(a*x*(-sqrt(b^3/a^5) + 1)^(1/3) - (a^3*x^3 - b^2*x^2)^(1/3))/x) - 1/4*(sqrt(b^3/a^5) + 1)^(1/3)*log(4*(a^2*x^2*(sqrt(b^3/a^5) + 1)^(2/3) + (a^3*x^3 - b^2*x^2)^(1/3)*a*x*(sqrt(b^3/a^5) + 1)^(1/3) + (a^3*x^3 - b^2*x^2)^(2/3))/x^2) - 1/4*(-sqrt(b^3/a^5) + 1)^(1/3)*log(4*(a^2*x^2*(-sqrt(b^3/a^5) + 1)^(2/3) + (a^3*x^3 - b^2*x^2)^(1/3)*a*x*(-sqrt(b^3/a^5) + 1)^(1/3) + (a^3*x^3 - b^2*x^2)^(2/3))/x^2) - log(-(a*x - (a^3*x^3 - b^2*x^2)^(1/3))/x) + 1/2*log((a^2*x^2 + (a^3*x^3 - b^2*x^2)^(1/3)*a*x + (a^3*x^3 - b^2*x^2)^(2/3))/x^2)","B",0
2861,1,909,0,0.680163," ","integrate((a^3*x^3-b^2*x^2)^(1/3)/(a*x^2-b),x, algorithm=""fricas"")","\sqrt{3} {\left(\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} \arctan\left(-\frac{\sqrt{3} {\left(a^{5} - b^{3}\right)} x + 2 \, {\left(\sqrt{3} a^{4} x \sqrt{\frac{b^{3}}{a^{5}}} - \sqrt{3} a^{4} x\right)} {\left(\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}} \sqrt{\frac{a^{2} x^{2} {\left(\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} a x {\left(\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} - 2 \, {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} a^{4} \sqrt{\frac{b^{3}}{a^{5}}} - \sqrt{3} a^{4}\right)} {\left(\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}}}{3 \, {\left(a^{5} - b^{3}\right)} x}\right) - \sqrt{3} {\left(-\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(a^{5} - b^{3}\right)} x - 2 \, {\left(\sqrt{3} a^{4} x \sqrt{\frac{b^{3}}{a^{5}}} + \sqrt{3} a^{4} x\right)} {\left(-\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}} \sqrt{\frac{a^{2} x^{2} {\left(-\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} a x {\left(-\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}} + 2 \, {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(\sqrt{3} a^{4} \sqrt{\frac{b^{3}}{a^{5}}} + \sqrt{3} a^{4}\right)} {\left(-\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}}}{3 \, {\left(a^{5} - b^{3}\right)} x}\right) + \sqrt{3} \arctan\left(\frac{\sqrt{3} a x + 2 \, \sqrt{3} {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{3 \, a x}\right) + \frac{1}{2} \, {\left(\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} \log\left(-\frac{a x {\left(\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} - {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, {\left(-\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} \log\left(-\frac{a x {\left(-\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} - {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{4} \, {\left(\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} \log\left(\frac{4 \, {\left(a^{2} x^{2} {\left(\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} a x {\left(\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - \frac{1}{4} \, {\left(-\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} \log\left(\frac{4 \, {\left(a^{2} x^{2} {\left(-\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{2}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} a x {\left(-\sqrt{\frac{b^{3}}{a^{5}}} + 1\right)}^{\frac{1}{3}} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}\right)}}{x^{2}}\right) - \log\left(-\frac{a x - {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{2} \, \log\left(\frac{a^{2} x^{2} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} a x + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"sqrt(3)*(sqrt(b^3/a^5) + 1)^(1/3)*arctan(-1/3*(sqrt(3)*(a^5 - b^3)*x + 2*(sqrt(3)*a^4*x*sqrt(b^3/a^5) - sqrt(3)*a^4*x)*(sqrt(b^3/a^5) + 1)^(2/3)*sqrt((a^2*x^2*(sqrt(b^3/a^5) + 1)^(2/3) + (a^3*x^3 - b^2*x^2)^(1/3)*a*x*(sqrt(b^3/a^5) + 1)^(1/3) + (a^3*x^3 - b^2*x^2)^(2/3))/x^2) - 2*(a^3*x^3 - b^2*x^2)^(1/3)*(sqrt(3)*a^4*sqrt(b^3/a^5) - sqrt(3)*a^4)*(sqrt(b^3/a^5) + 1)^(2/3))/((a^5 - b^3)*x)) - sqrt(3)*(-sqrt(b^3/a^5) + 1)^(1/3)*arctan(1/3*(sqrt(3)*(a^5 - b^3)*x - 2*(sqrt(3)*a^4*x*sqrt(b^3/a^5) + sqrt(3)*a^4*x)*(-sqrt(b^3/a^5) + 1)^(2/3)*sqrt((a^2*x^2*(-sqrt(b^3/a^5) + 1)^(2/3) + (a^3*x^3 - b^2*x^2)^(1/3)*a*x*(-sqrt(b^3/a^5) + 1)^(1/3) + (a^3*x^3 - b^2*x^2)^(2/3))/x^2) + 2*(a^3*x^3 - b^2*x^2)^(1/3)*(sqrt(3)*a^4*sqrt(b^3/a^5) + sqrt(3)*a^4)*(-sqrt(b^3/a^5) + 1)^(2/3))/((a^5 - b^3)*x)) + sqrt(3)*arctan(1/3*(sqrt(3)*a*x + 2*sqrt(3)*(a^3*x^3 - b^2*x^2)^(1/3))/(a*x)) + 1/2*(sqrt(b^3/a^5) + 1)^(1/3)*log(-(a*x*(sqrt(b^3/a^5) + 1)^(1/3) - (a^3*x^3 - b^2*x^2)^(1/3))/x) + 1/2*(-sqrt(b^3/a^5) + 1)^(1/3)*log(-(a*x*(-sqrt(b^3/a^5) + 1)^(1/3) - (a^3*x^3 - b^2*x^2)^(1/3))/x) - 1/4*(sqrt(b^3/a^5) + 1)^(1/3)*log(4*(a^2*x^2*(sqrt(b^3/a^5) + 1)^(2/3) + (a^3*x^3 - b^2*x^2)^(1/3)*a*x*(sqrt(b^3/a^5) + 1)^(1/3) + (a^3*x^3 - b^2*x^2)^(2/3))/x^2) - 1/4*(-sqrt(b^3/a^5) + 1)^(1/3)*log(4*(a^2*x^2*(-sqrt(b^3/a^5) + 1)^(2/3) + (a^3*x^3 - b^2*x^2)^(1/3)*a*x*(-sqrt(b^3/a^5) + 1)^(1/3) + (a^3*x^3 - b^2*x^2)^(2/3))/x^2) - log(-(a*x - (a^3*x^3 - b^2*x^2)^(1/3))/x) + 1/2*log((a^2*x^2 + (a^3*x^3 - b^2*x^2)^(1/3)*a*x + (a^3*x^3 - b^2*x^2)^(2/3))/x^2)","B",0
2862,1,290,0,0.491152," ","integrate((-b+x)/((-a+x)*(-b+x)^2)^(2/3)/(a-b*d+(-1+d)*x),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} {\left(d^{2}\right)}^{\frac{1}{6}} d \arctan\left(\frac{\sqrt{3} {\left(d^{2}\right)}^{\frac{1}{6}} {\left({\left(b d - d x\right)} {\left(d^{2}\right)}^{\frac{1}{3}} - 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(d^{2}\right)}^{\frac{2}{3}}\right)}}{3 \, {\left(b d^{2} - d^{2} x\right)}}\right) + {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(-\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(d^{2}\right)}^{\frac{2}{3}} {\left(b - x\right)} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d - {\left(b^{2} d - 2 \, b d x + d x^{2}\right)} {\left(d^{2}\right)}^{\frac{1}{3}}}{b^{2} - 2 \, b x + x^{2}}\right) - 2 \, {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(-\frac{{\left(d^{2}\right)}^{\frac{2}{3}} {\left(b - x\right)} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} d}{b - x}\right)}{2 \, {\left(a - b\right)} d^{2}}"," ",0,"1/2*(2*sqrt(3)*(d^2)^(1/6)*d*arctan(1/3*sqrt(3)*(d^2)^(1/6)*((b*d - d*x)*(d^2)^(1/3) - 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(d^2)^(2/3))/(b*d^2 - d^2*x)) + (d^2)^(2/3)*log(-((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(d^2)^(2/3)*(b - x) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d - (b^2*d - 2*b*d*x + d*x^2)*(d^2)^(1/3))/(b^2 - 2*b*x + x^2)) - 2*(d^2)^(2/3)*log(-((d^2)^(2/3)*(b - x) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*d)/(b - x)))/((a - b)*d^2)","A",0
2863,1,269,0,0.482034," ","integrate((x^2-b)^(1/2)*(x^4+c)*(x+(x^2-b)^(1/2))^(1/2)/x,x, algorithm=""fricas"")","-\frac{2}{3465} \, {\left(35 \, x^{5} - 19 \, b x^{3} - {\left(152 \, b^{2} - 1155 \, c\right)} x - 2 \, {\left(175 \, x^{4} - 57 \, b x^{2} - 152 \, b^{2} + 1155 \, c\right)} \sqrt{x^{2} - b}\right)} \sqrt{x + \sqrt{x^{2} - b}} + 4 \, \left(-b^{3} c^{4}\right)^{\frac{1}{4}} \arctan\left(-\frac{\left(-b^{3} c^{4}\right)^{\frac{1}{4}} b^{2} c^{3} \sqrt{x + \sqrt{x^{2} - b}} - \sqrt{b^{4} c^{6} x + \sqrt{x^{2} - b} b^{4} c^{6} - \sqrt{-b^{3} c^{4}} b^{3} c^{4}} \left(-b^{3} c^{4}\right)^{\frac{1}{4}}}{b^{3} c^{4}}\right) - \left(-b^{3} c^{4}\right)^{\frac{1}{4}} \log\left(b^{2} c^{3} \sqrt{x + \sqrt{x^{2} - b}} + \left(-b^{3} c^{4}\right)^{\frac{3}{4}}\right) + \left(-b^{3} c^{4}\right)^{\frac{1}{4}} \log\left(b^{2} c^{3} \sqrt{x + \sqrt{x^{2} - b}} - \left(-b^{3} c^{4}\right)^{\frac{3}{4}}\right)"," ",0,"-2/3465*(35*x^5 - 19*b*x^3 - (152*b^2 - 1155*c)*x - 2*(175*x^4 - 57*b*x^2 - 152*b^2 + 1155*c)*sqrt(x^2 - b))*sqrt(x + sqrt(x^2 - b)) + 4*(-b^3*c^4)^(1/4)*arctan(-((-b^3*c^4)^(1/4)*b^2*c^3*sqrt(x + sqrt(x^2 - b)) - sqrt(b^4*c^6*x + sqrt(x^2 - b)*b^4*c^6 - sqrt(-b^3*c^4)*b^3*c^4)*(-b^3*c^4)^(1/4))/(b^3*c^4)) - (-b^3*c^4)^(1/4)*log(b^2*c^3*sqrt(x + sqrt(x^2 - b)) + (-b^3*c^4)^(3/4)) + (-b^3*c^4)^(1/4)*log(b^2*c^3*sqrt(x + sqrt(x^2 - b)) - (-b^3*c^4)^(3/4))","A",0
2864,-1,0,0,0.000000," ","integrate(x^8/(a^4*x^4-b^4)^(1/2)/(a^16*x^16-b^16),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2865,-1,0,0,0.000000," ","integrate(x^2/(a*x^2-b)/(x^3-x)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2866,1,463,0,0.662048," ","integrate((x^4+1)*(x+(x^2+1)^(1/2))^(1/2)/(x^4-1),x, algorithm=""fricas"")","\frac{2}{3} \, {\left(2 \, x - \sqrt{x^{2} + 1}\right)} \sqrt{x + \sqrt{x^{2} + 1}} + 2 \, \sqrt{\sqrt{2} - 1} \arctan\left(\sqrt{x + \sqrt{2} + \sqrt{x^{2} + 1} - 1} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} - \sqrt{x + \sqrt{x^{2} + 1}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right) - 2 \, \sqrt{\sqrt{2} + 1} \arctan\left(\sqrt{x + \sqrt{2} + \sqrt{x^{2} + 1} + 1} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} - \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)}\right) + 2 \, \sqrt{2} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + x + \sqrt{x^{2} + 1} + 1} - \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} - 1\right) + 2 \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, x + 4 \, \sqrt{x^{2} + 1} + 4} - \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + 1\right) + \frac{1}{2} \, \sqrt{2} \log\left(4 \, \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, x + 4 \, \sqrt{x^{2} + 1} + 4\right) - \frac{1}{2} \, \sqrt{2} \log\left(-4 \, \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, x + 4 \, \sqrt{x^{2} + 1} + 4\right) - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} \log\left(\sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{\sqrt{2} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} + 1} \log\left(\sqrt{x + \sqrt{x^{2} + 1}} - \sqrt{\sqrt{2} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} \log\left(\sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{\sqrt{2} - 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} - 1} \log\left(\sqrt{x + \sqrt{x^{2} + 1}} - \sqrt{\sqrt{2} - 1}\right)"," ",0,"2/3*(2*x - sqrt(x^2 + 1))*sqrt(x + sqrt(x^2 + 1)) + 2*sqrt(sqrt(2) - 1)*arctan(sqrt(x + sqrt(2) + sqrt(x^2 + 1) - 1)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) - sqrt(x + sqrt(x^2 + 1))*(sqrt(2) + 1)*sqrt(sqrt(2) - 1)) - 2*sqrt(sqrt(2) + 1)*arctan(sqrt(x + sqrt(2) + sqrt(x^2 + 1) + 1)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) - sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(2) + 1)*(sqrt(2) - 1)) + 2*sqrt(2)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + x + sqrt(x^2 + 1) + 1) - sqrt(2)*sqrt(x + sqrt(x^2 + 1)) - 1) + 2*sqrt(2)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + 4*x + 4*sqrt(x^2 + 1) + 4) - sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + 1) + 1/2*sqrt(2)*log(4*sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + 4*x + 4*sqrt(x^2 + 1) + 4) - 1/2*sqrt(2)*log(-4*sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + 4*x + 4*sqrt(x^2 + 1) + 4) - 1/2*sqrt(sqrt(2) + 1)*log(sqrt(x + sqrt(x^2 + 1)) + sqrt(sqrt(2) + 1)) + 1/2*sqrt(sqrt(2) + 1)*log(sqrt(x + sqrt(x^2 + 1)) - sqrt(sqrt(2) + 1)) + 1/2*sqrt(sqrt(2) - 1)*log(sqrt(x + sqrt(x^2 + 1)) + sqrt(sqrt(2) - 1)) - 1/2*sqrt(sqrt(2) - 1)*log(sqrt(x + sqrt(x^2 + 1)) - sqrt(sqrt(2) - 1))","B",0
2867,1,331,0,0.602584," ","integrate((-a+x)*(-b+x)/((-a+x)*(-b+x)^2)^(2/3)/(-b^2+a^2*d+2*(-a*d+b)*x+(-1+d)*x^2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} d \sqrt{-\left(-d^{2}\right)^{\frac{1}{3}}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d - {\left(b^{2} - 2 \, b x + x^{2}\right)} \left(-d^{2}\right)^{\frac{1}{3}}\right)} \sqrt{-\left(-d^{2}\right)^{\frac{1}{3}}}}{3 \, {\left(b^{2} d - 2 \, b d x + d x^{2}\right)}}\right) - \left(-d^{2}\right)^{\frac{2}{3}} \log\left(-\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} \left(-d^{2}\right)^{\frac{1}{3}} d - {\left(b^{2} - 2 \, b x + x^{2}\right)} \left(-d^{2}\right)^{\frac{2}{3}} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(a d^{2} - d^{2} x\right)}}{b^{2} - 2 \, b x + x^{2}}\right) + 2 \, \left(-d^{2}\right)^{\frac{2}{3}} \log\left(\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d + {\left(b^{2} - 2 \, b x + x^{2}\right)} \left(-d^{2}\right)^{\frac{1}{3}}}{b^{2} - 2 \, b x + x^{2}}\right)}{4 \, {\left(a - b\right)} d^{2}}"," ",0,"1/4*(2*sqrt(3)*d*sqrt(-(-d^2)^(1/3))*arctan(1/3*sqrt(3)*(2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d - (b^2 - 2*b*x + x^2)*(-d^2)^(1/3))*sqrt(-(-d^2)^(1/3))/(b^2*d - 2*b*d*x + d*x^2)) - (-d^2)^(2/3)*log(-((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*(-d^2)^(1/3)*d - (b^2 - 2*b*x + x^2)*(-d^2)^(2/3) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(a*d^2 - d^2*x))/(b^2 - 2*b*x + x^2)) + 2*(-d^2)^(2/3)*log(((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d + (b^2 - 2*b*x + x^2)*(-d^2)^(1/3))/(b^2 - 2*b*x + x^2)))/((a - b)*d^2)","A",0
2868,1,331,0,1.124121," ","integrate((a*b-(a+b)*x+x^2)/((-a+x)*(-b+x)^2)^(2/3)/(-b^2+a^2*d+2*(-a*d+b)*x+(-1+d)*x^2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} d \sqrt{-\left(-d^{2}\right)^{\frac{1}{3}}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d - {\left(b^{2} - 2 \, b x + x^{2}\right)} \left(-d^{2}\right)^{\frac{1}{3}}\right)} \sqrt{-\left(-d^{2}\right)^{\frac{1}{3}}}}{3 \, {\left(b^{2} d - 2 \, b d x + d x^{2}\right)}}\right) - \left(-d^{2}\right)^{\frac{2}{3}} \log\left(-\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} \left(-d^{2}\right)^{\frac{1}{3}} d - {\left(b^{2} - 2 \, b x + x^{2}\right)} \left(-d^{2}\right)^{\frac{2}{3}} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(a d^{2} - d^{2} x\right)}}{b^{2} - 2 \, b x + x^{2}}\right) + 2 \, \left(-d^{2}\right)^{\frac{2}{3}} \log\left(\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d + {\left(b^{2} - 2 \, b x + x^{2}\right)} \left(-d^{2}\right)^{\frac{1}{3}}}{b^{2} - 2 \, b x + x^{2}}\right)}{4 \, {\left(a - b\right)} d^{2}}"," ",0,"1/4*(2*sqrt(3)*d*sqrt(-(-d^2)^(1/3))*arctan(1/3*sqrt(3)*(2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d - (b^2 - 2*b*x + x^2)*(-d^2)^(1/3))*sqrt(-(-d^2)^(1/3))/(b^2*d - 2*b*d*x + d*x^2)) - (-d^2)^(2/3)*log(-((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*(-d^2)^(1/3)*d - (b^2 - 2*b*x + x^2)*(-d^2)^(2/3) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(a*d^2 - d^2*x))/(b^2 - 2*b*x + x^2)) + 2*(-d^2)^(2/3)*log(((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d + (b^2 - 2*b*x + x^2)*(-d^2)^(1/3))/(b^2 - 2*b*x + x^2)))/((a - b)*d^2)","A",0
2869,-1,0,0,0.000000," ","integrate(x/(x^2-(a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2870,-1,0,0,0.000000," ","integrate(x/(x^2-(a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2871,-1,0,0,0.000000," ","integrate((a*b-2*b*x+x^2)/(x*(-a+x)*(-b+x)^2)^(1/3)/(b*d-(a+d)*x+x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2872,-1,0,0,0.000000," ","integrate((-a*b^2+(4*a-b)*b*x-3*a*x^2+x^3)/(x*(-a+x)*(-b+x)^2)^(1/3)/(-a^2*d+(2*a*d+b^2)*x-(2*b+d)*x^2+x^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2873,-1,0,0,0.000000," ","integrate((c*x^7-d)/x/(a*x^3-b)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2874,1,1106,0,0.814114," ","integrate((c+(a*x+b)^(1/2))^(1/2)/(x-(a*x+b)^(1/2)),x, algorithm=""fricas"")","-\sqrt{2} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{2} + 2 \, b\right)} c + {\left(a^{2} + 4 \, b\right)} \sqrt{\frac{a^{4} + a^{2} c^{2} + 2 \, a^{2} b + b^{2} + 2 \, {\left(a^{3} + a b\right)} c}{a^{2} + 4 \, b}}}{a^{2} + 4 \, b}} \log\left(8 \, \sqrt{2} {\left(a^{4} + 5 \, a^{2} b + 4 \, b^{2} + {\left(a^{3} + 4 \, a b\right)} c - {\left(a^{3} + 4 \, a b\right)} \sqrt{\frac{a^{4} + a^{2} c^{2} + 2 \, a^{2} b + b^{2} + 2 \, {\left(a^{3} + a b\right)} c}{a^{2} + 4 \, b}}\right)} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{2} + 2 \, b\right)} c + {\left(a^{2} + 4 \, b\right)} \sqrt{\frac{a^{4} + a^{2} c^{2} + 2 \, a^{2} b + b^{2} + 2 \, {\left(a^{3} + a b\right)} c}{a^{2} + 4 \, b}}}{a^{2} + 4 \, b}} + 32 \, {\left(a^{2} b + a b c + b^{2}\right)} \sqrt{c + \sqrt{a x + b}}\right) + \sqrt{2} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{2} + 2 \, b\right)} c + {\left(a^{2} + 4 \, b\right)} \sqrt{\frac{a^{4} + a^{2} c^{2} + 2 \, a^{2} b + b^{2} + 2 \, {\left(a^{3} + a b\right)} c}{a^{2} + 4 \, b}}}{a^{2} + 4 \, b}} \log\left(-8 \, \sqrt{2} {\left(a^{4} + 5 \, a^{2} b + 4 \, b^{2} + {\left(a^{3} + 4 \, a b\right)} c - {\left(a^{3} + 4 \, a b\right)} \sqrt{\frac{a^{4} + a^{2} c^{2} + 2 \, a^{2} b + b^{2} + 2 \, {\left(a^{3} + a b\right)} c}{a^{2} + 4 \, b}}\right)} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{2} + 2 \, b\right)} c + {\left(a^{2} + 4 \, b\right)} \sqrt{\frac{a^{4} + a^{2} c^{2} + 2 \, a^{2} b + b^{2} + 2 \, {\left(a^{3} + a b\right)} c}{a^{2} + 4 \, b}}}{a^{2} + 4 \, b}} + 32 \, {\left(a^{2} b + a b c + b^{2}\right)} \sqrt{c + \sqrt{a x + b}}\right) - \sqrt{2} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{2} + 2 \, b\right)} c - {\left(a^{2} + 4 \, b\right)} \sqrt{\frac{a^{4} + a^{2} c^{2} + 2 \, a^{2} b + b^{2} + 2 \, {\left(a^{3} + a b\right)} c}{a^{2} + 4 \, b}}}{a^{2} + 4 \, b}} \log\left(8 \, \sqrt{2} {\left(a^{4} + 5 \, a^{2} b + 4 \, b^{2} + {\left(a^{3} + 4 \, a b\right)} c + {\left(a^{3} + 4 \, a b\right)} \sqrt{\frac{a^{4} + a^{2} c^{2} + 2 \, a^{2} b + b^{2} + 2 \, {\left(a^{3} + a b\right)} c}{a^{2} + 4 \, b}}\right)} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{2} + 2 \, b\right)} c - {\left(a^{2} + 4 \, b\right)} \sqrt{\frac{a^{4} + a^{2} c^{2} + 2 \, a^{2} b + b^{2} + 2 \, {\left(a^{3} + a b\right)} c}{a^{2} + 4 \, b}}}{a^{2} + 4 \, b}} + 32 \, {\left(a^{2} b + a b c + b^{2}\right)} \sqrt{c + \sqrt{a x + b}}\right) + \sqrt{2} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{2} + 2 \, b\right)} c - {\left(a^{2} + 4 \, b\right)} \sqrt{\frac{a^{4} + a^{2} c^{2} + 2 \, a^{2} b + b^{2} + 2 \, {\left(a^{3} + a b\right)} c}{a^{2} + 4 \, b}}}{a^{2} + 4 \, b}} \log\left(-8 \, \sqrt{2} {\left(a^{4} + 5 \, a^{2} b + 4 \, b^{2} + {\left(a^{3} + 4 \, a b\right)} c + {\left(a^{3} + 4 \, a b\right)} \sqrt{\frac{a^{4} + a^{2} c^{2} + 2 \, a^{2} b + b^{2} + 2 \, {\left(a^{3} + a b\right)} c}{a^{2} + 4 \, b}}\right)} \sqrt{\frac{a^{3} + 3 \, a b + {\left(a^{2} + 2 \, b\right)} c - {\left(a^{2} + 4 \, b\right)} \sqrt{\frac{a^{4} + a^{2} c^{2} + 2 \, a^{2} b + b^{2} + 2 \, {\left(a^{3} + a b\right)} c}{a^{2} + 4 \, b}}}{a^{2} + 4 \, b}} + 32 \, {\left(a^{2} b + a b c + b^{2}\right)} \sqrt{c + \sqrt{a x + b}}\right) + 4 \, \sqrt{c + \sqrt{a x + b}}"," ",0,"-sqrt(2)*sqrt((a^3 + 3*a*b + (a^2 + 2*b)*c + (a^2 + 4*b)*sqrt((a^4 + a^2*c^2 + 2*a^2*b + b^2 + 2*(a^3 + a*b)*c)/(a^2 + 4*b)))/(a^2 + 4*b))*log(8*sqrt(2)*(a^4 + 5*a^2*b + 4*b^2 + (a^3 + 4*a*b)*c - (a^3 + 4*a*b)*sqrt((a^4 + a^2*c^2 + 2*a^2*b + b^2 + 2*(a^3 + a*b)*c)/(a^2 + 4*b)))*sqrt((a^3 + 3*a*b + (a^2 + 2*b)*c + (a^2 + 4*b)*sqrt((a^4 + a^2*c^2 + 2*a^2*b + b^2 + 2*(a^3 + a*b)*c)/(a^2 + 4*b)))/(a^2 + 4*b)) + 32*(a^2*b + a*b*c + b^2)*sqrt(c + sqrt(a*x + b))) + sqrt(2)*sqrt((a^3 + 3*a*b + (a^2 + 2*b)*c + (a^2 + 4*b)*sqrt((a^4 + a^2*c^2 + 2*a^2*b + b^2 + 2*(a^3 + a*b)*c)/(a^2 + 4*b)))/(a^2 + 4*b))*log(-8*sqrt(2)*(a^4 + 5*a^2*b + 4*b^2 + (a^3 + 4*a*b)*c - (a^3 + 4*a*b)*sqrt((a^4 + a^2*c^2 + 2*a^2*b + b^2 + 2*(a^3 + a*b)*c)/(a^2 + 4*b)))*sqrt((a^3 + 3*a*b + (a^2 + 2*b)*c + (a^2 + 4*b)*sqrt((a^4 + a^2*c^2 + 2*a^2*b + b^2 + 2*(a^3 + a*b)*c)/(a^2 + 4*b)))/(a^2 + 4*b)) + 32*(a^2*b + a*b*c + b^2)*sqrt(c + sqrt(a*x + b))) - sqrt(2)*sqrt((a^3 + 3*a*b + (a^2 + 2*b)*c - (a^2 + 4*b)*sqrt((a^4 + a^2*c^2 + 2*a^2*b + b^2 + 2*(a^3 + a*b)*c)/(a^2 + 4*b)))/(a^2 + 4*b))*log(8*sqrt(2)*(a^4 + 5*a^2*b + 4*b^2 + (a^3 + 4*a*b)*c + (a^3 + 4*a*b)*sqrt((a^4 + a^2*c^2 + 2*a^2*b + b^2 + 2*(a^3 + a*b)*c)/(a^2 + 4*b)))*sqrt((a^3 + 3*a*b + (a^2 + 2*b)*c - (a^2 + 4*b)*sqrt((a^4 + a^2*c^2 + 2*a^2*b + b^2 + 2*(a^3 + a*b)*c)/(a^2 + 4*b)))/(a^2 + 4*b)) + 32*(a^2*b + a*b*c + b^2)*sqrt(c + sqrt(a*x + b))) + sqrt(2)*sqrt((a^3 + 3*a*b + (a^2 + 2*b)*c - (a^2 + 4*b)*sqrt((a^4 + a^2*c^2 + 2*a^2*b + b^2 + 2*(a^3 + a*b)*c)/(a^2 + 4*b)))/(a^2 + 4*b))*log(-8*sqrt(2)*(a^4 + 5*a^2*b + 4*b^2 + (a^3 + 4*a*b)*c + (a^3 + 4*a*b)*sqrt((a^4 + a^2*c^2 + 2*a^2*b + b^2 + 2*(a^3 + a*b)*c)/(a^2 + 4*b)))*sqrt((a^3 + 3*a*b + (a^2 + 2*b)*c - (a^2 + 4*b)*sqrt((a^4 + a^2*c^2 + 2*a^2*b + b^2 + 2*(a^3 + a*b)*c)/(a^2 + 4*b)))/(a^2 + 4*b)) + 32*(a^2*b + a*b*c + b^2)*sqrt(c + sqrt(a*x + b))) + 4*sqrt(c + sqrt(a*x + b))","B",0
2875,-2,0,0,0.000000," ","integrate((1+x)/(1+2*x)/(x^5+9*x^4+28*x^3+36*x^2+27*x+27)^(1/3),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
2876,-1,0,0,0.000000," ","integrate((a*x^3-b*x)/(2*a*x^3-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2877,-1,0,0,0.000000," ","integrate((a*x^3-b*x)/(2*a*x^3-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2878,-1,0,0,0.000000," ","integrate((a*x^3+b*x)/(2*a*x^3+b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2879,-1,0,0,0.000000," ","integrate(x*(-b+x)*(a*b+(-2*a+b)*x)/(x*(-a+x)*(-b+x))^(1/3)/(-a^4+4*a^3*x+(b^2*d-6*a^2)*x^2+2*(-b*d+2*a)*x^3+(-1+d)*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2880,-1,0,0,0.000000," ","integrate((-a*b-a*c+2*b*c+(2*a-b-c)*x)/((-a+x)*(-b+x)*(-c+x))^(1/3)/(-b*c+a^2*d+(-2*a*d+b+c)*x+(-1+d)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2881,-1,0,0,0.000000," ","integrate(x*(-a*b+x^2)/(x^2*(-a+x)*(-b+x))^(1/3)/(a^2*b^2-2*a*b*(a+b)*x+(a^2+4*a*b+b^2-d)*x^2-2*(a+b)*x^3+x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2882,1,2045,0,1.100324," ","integrate((a^6*x^6-b^6)/(a^2*x^3-b^2*x)^(1/2)/(a^6*x^6+b^6),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{2} \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(4 \, \sqrt{2} \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}} - \sqrt{2} \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x} - {\left(2 \, a^{2} x^{3} - 2 \, b^{2} x - {\left(4 \, \sqrt{2} \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}} + \sqrt{2} \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{\frac{a^{4} x^{4} + 2 \, a^{2} b^{2} x^{2} + b^{4} + 8 \, {\left(\sqrt{2} \left(\frac{1}{4}\right)^{\frac{1}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} + \sqrt{2} \left(\frac{1}{4}\right)^{\frac{3}{4}} {\left(a^{4} b^{2} x^{2} - a^{2} b^{4}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 8 \, {\left(a^{4} b^{2} x^{3} - a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}}{a^{4} x^{4} + 2 \, a^{2} b^{2} x^{2} + b^{4}}}}{2 \, {\left(a^{2} x^{3} - b^{2} x\right)}}\right) - \frac{1}{6} \, \sqrt{2} \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(4 \, \sqrt{2} \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}} - \sqrt{2} \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + {\left(2 \, a^{2} x^{3} - 2 \, b^{2} x + {\left(4 \, \sqrt{2} \left(\frac{1}{4}\right)^{\frac{3}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}} + \sqrt{2} \left(\frac{1}{4}\right)^{\frac{1}{4}} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{\frac{a^{4} x^{4} + 2 \, a^{2} b^{2} x^{2} + b^{4} - 8 \, {\left(\sqrt{2} \left(\frac{1}{4}\right)^{\frac{1}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} + \sqrt{2} \left(\frac{1}{4}\right)^{\frac{3}{4}} {\left(a^{4} b^{2} x^{2} - a^{2} b^{4}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 8 \, {\left(a^{4} b^{2} x^{3} - a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}}{a^{4} x^{4} + 2 \, a^{2} b^{2} x^{2} + b^{4}}}}{2 \, {\left(a^{2} x^{3} - b^{2} x\right)}}\right) - \frac{1}{24} \, \sqrt{2} \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} \log\left(\frac{a^{4} x^{4} + 2 \, a^{2} b^{2} x^{2} + b^{4} + 8 \, {\left(\sqrt{2} \left(\frac{1}{4}\right)^{\frac{1}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} + \sqrt{2} \left(\frac{1}{4}\right)^{\frac{3}{4}} {\left(a^{4} b^{2} x^{2} - a^{2} b^{4}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 8 \, {\left(a^{4} b^{2} x^{3} - a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}}{a^{4} x^{4} + 2 \, a^{2} b^{2} x^{2} + b^{4}}\right) + \frac{1}{24} \, \sqrt{2} \left(\frac{1}{4}\right)^{\frac{1}{4}} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} \log\left(\frac{a^{4} x^{4} + 2 \, a^{2} b^{2} x^{2} + b^{4} - 8 \, {\left(\sqrt{2} \left(\frac{1}{4}\right)^{\frac{1}{4}} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} + \sqrt{2} \left(\frac{1}{4}\right)^{\frac{3}{4}} {\left(a^{4} b^{2} x^{2} - a^{2} b^{4}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 8 \, {\left(a^{4} b^{2} x^{3} - a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}}{a^{4} x^{4} + 2 \, a^{2} b^{2} x^{2} + b^{4}}\right) - \frac{1}{3} \, \sqrt{2} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(\sqrt{2} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}} - \sqrt{2} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x} - {\left(2 \, a^{2} x^{3} - 2 \, b^{2} x - {\left(\sqrt{2} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}} + \sqrt{2} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{\frac{a^{4} x^{4} - a^{2} b^{2} x^{2} + b^{4} + 2 \, {\left(\sqrt{2} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} + \sqrt{2} {\left(a^{4} b^{2} x^{2} - a^{2} b^{4}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 4 \, {\left(a^{4} b^{2} x^{3} - a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}}{a^{4} x^{4} - a^{2} b^{2} x^{2} + b^{4}}}}{2 \, {\left(a^{2} x^{3} - b^{2} x\right)}}\right) - \frac{1}{3} \, \sqrt{2} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(\sqrt{2} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}} - \sqrt{2} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + {\left(2 \, a^{2} x^{3} - 2 \, b^{2} x + {\left(\sqrt{2} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}} + \sqrt{2} {\left(a^{2} x^{2} - b^{2}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x}\right)} \sqrt{\frac{a^{4} x^{4} - a^{2} b^{2} x^{2} + b^{4} - 2 \, {\left(\sqrt{2} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} + \sqrt{2} {\left(a^{4} b^{2} x^{2} - a^{2} b^{4}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 4 \, {\left(a^{4} b^{2} x^{3} - a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}}{a^{4} x^{4} - a^{2} b^{2} x^{2} + b^{4}}}}{2 \, {\left(a^{2} x^{3} - b^{2} x\right)}}\right) - \frac{1}{12} \, \sqrt{2} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} \log\left(\frac{a^{4} x^{4} - a^{2} b^{2} x^{2} + b^{4} + 2 \, {\left(\sqrt{2} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} + \sqrt{2} {\left(a^{4} b^{2} x^{2} - a^{2} b^{4}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 4 \, {\left(a^{4} b^{2} x^{3} - a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}}{a^{4} x^{4} - a^{2} b^{2} x^{2} + b^{4}}\right) + \frac{1}{12} \, \sqrt{2} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} \log\left(\frac{a^{4} x^{4} - a^{2} b^{2} x^{2} + b^{4} - 2 \, {\left(\sqrt{2} a^{2} b^{2} x \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{1}{4}} + \sqrt{2} {\left(a^{4} b^{2} x^{2} - a^{2} b^{4}\right)} \left(\frac{1}{a^{2} b^{2}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{2} x^{3} - b^{2} x} + 4 \, {\left(a^{4} b^{2} x^{3} - a^{2} b^{4} x\right)} \sqrt{\frac{1}{a^{2} b^{2}}}}{a^{4} x^{4} - a^{2} b^{2} x^{2} + b^{4}}\right)"," ",0,"-1/6*sqrt(2)*(1/4)^(1/4)*(1/(a^2*b^2))^(1/4)*arctan(1/2*((4*sqrt(2)*(1/4)^(3/4)*a^2*b^2*x*(1/(a^2*b^2))^(3/4) - sqrt(2)*(1/4)^(1/4)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4))*sqrt(a^2*x^3 - b^2*x) - (2*a^2*x^3 - 2*b^2*x - (4*sqrt(2)*(1/4)^(3/4)*a^2*b^2*x*(1/(a^2*b^2))^(3/4) + sqrt(2)*(1/4)^(1/4)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4))*sqrt(a^2*x^3 - b^2*x))*sqrt((a^4*x^4 + 2*a^2*b^2*x^2 + b^4 + 8*(sqrt(2)*(1/4)^(1/4)*a^2*b^2*x*(1/(a^2*b^2))^(1/4) + sqrt(2)*(1/4)^(3/4)*(a^4*b^2*x^2 - a^2*b^4)*(1/(a^2*b^2))^(3/4))*sqrt(a^2*x^3 - b^2*x) + 8*(a^4*b^2*x^3 - a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 + 2*a^2*b^2*x^2 + b^4)))/(a^2*x^3 - b^2*x)) - 1/6*sqrt(2)*(1/4)^(1/4)*(1/(a^2*b^2))^(1/4)*arctan(1/2*((4*sqrt(2)*(1/4)^(3/4)*a^2*b^2*x*(1/(a^2*b^2))^(3/4) - sqrt(2)*(1/4)^(1/4)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4))*sqrt(a^2*x^3 - b^2*x) + (2*a^2*x^3 - 2*b^2*x + (4*sqrt(2)*(1/4)^(3/4)*a^2*b^2*x*(1/(a^2*b^2))^(3/4) + sqrt(2)*(1/4)^(1/4)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4))*sqrt(a^2*x^3 - b^2*x))*sqrt((a^4*x^4 + 2*a^2*b^2*x^2 + b^4 - 8*(sqrt(2)*(1/4)^(1/4)*a^2*b^2*x*(1/(a^2*b^2))^(1/4) + sqrt(2)*(1/4)^(3/4)*(a^4*b^2*x^2 - a^2*b^4)*(1/(a^2*b^2))^(3/4))*sqrt(a^2*x^3 - b^2*x) + 8*(a^4*b^2*x^3 - a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 + 2*a^2*b^2*x^2 + b^4)))/(a^2*x^3 - b^2*x)) - 1/24*sqrt(2)*(1/4)^(1/4)*(1/(a^2*b^2))^(1/4)*log((a^4*x^4 + 2*a^2*b^2*x^2 + b^4 + 8*(sqrt(2)*(1/4)^(1/4)*a^2*b^2*x*(1/(a^2*b^2))^(1/4) + sqrt(2)*(1/4)^(3/4)*(a^4*b^2*x^2 - a^2*b^4)*(1/(a^2*b^2))^(3/4))*sqrt(a^2*x^3 - b^2*x) + 8*(a^4*b^2*x^3 - a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 + 2*a^2*b^2*x^2 + b^4)) + 1/24*sqrt(2)*(1/4)^(1/4)*(1/(a^2*b^2))^(1/4)*log((a^4*x^4 + 2*a^2*b^2*x^2 + b^4 - 8*(sqrt(2)*(1/4)^(1/4)*a^2*b^2*x*(1/(a^2*b^2))^(1/4) + sqrt(2)*(1/4)^(3/4)*(a^4*b^2*x^2 - a^2*b^4)*(1/(a^2*b^2))^(3/4))*sqrt(a^2*x^3 - b^2*x) + 8*(a^4*b^2*x^3 - a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 + 2*a^2*b^2*x^2 + b^4)) - 1/3*sqrt(2)*(1/(a^2*b^2))^(1/4)*arctan(1/2*((sqrt(2)*a^2*b^2*x*(1/(a^2*b^2))^(3/4) - sqrt(2)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4))*sqrt(a^2*x^3 - b^2*x) - (2*a^2*x^3 - 2*b^2*x - (sqrt(2)*a^2*b^2*x*(1/(a^2*b^2))^(3/4) + sqrt(2)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4))*sqrt(a^2*x^3 - b^2*x))*sqrt((a^4*x^4 - a^2*b^2*x^2 + b^4 + 2*(sqrt(2)*a^2*b^2*x*(1/(a^2*b^2))^(1/4) + sqrt(2)*(a^4*b^2*x^2 - a^2*b^4)*(1/(a^2*b^2))^(3/4))*sqrt(a^2*x^3 - b^2*x) + 4*(a^4*b^2*x^3 - a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 - a^2*b^2*x^2 + b^4)))/(a^2*x^3 - b^2*x)) - 1/3*sqrt(2)*(1/(a^2*b^2))^(1/4)*arctan(1/2*((sqrt(2)*a^2*b^2*x*(1/(a^2*b^2))^(3/4) - sqrt(2)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4))*sqrt(a^2*x^3 - b^2*x) + (2*a^2*x^3 - 2*b^2*x + (sqrt(2)*a^2*b^2*x*(1/(a^2*b^2))^(3/4) + sqrt(2)*(a^2*x^2 - b^2)*(1/(a^2*b^2))^(1/4))*sqrt(a^2*x^3 - b^2*x))*sqrt((a^4*x^4 - a^2*b^2*x^2 + b^4 - 2*(sqrt(2)*a^2*b^2*x*(1/(a^2*b^2))^(1/4) + sqrt(2)*(a^4*b^2*x^2 - a^2*b^4)*(1/(a^2*b^2))^(3/4))*sqrt(a^2*x^3 - b^2*x) + 4*(a^4*b^2*x^3 - a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 - a^2*b^2*x^2 + b^4)))/(a^2*x^3 - b^2*x)) - 1/12*sqrt(2)*(1/(a^2*b^2))^(1/4)*log((a^4*x^4 - a^2*b^2*x^2 + b^4 + 2*(sqrt(2)*a^2*b^2*x*(1/(a^2*b^2))^(1/4) + sqrt(2)*(a^4*b^2*x^2 - a^2*b^4)*(1/(a^2*b^2))^(3/4))*sqrt(a^2*x^3 - b^2*x) + 4*(a^4*b^2*x^3 - a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 - a^2*b^2*x^2 + b^4)) + 1/12*sqrt(2)*(1/(a^2*b^2))^(1/4)*log((a^4*x^4 - a^2*b^2*x^2 + b^4 - 2*(sqrt(2)*a^2*b^2*x*(1/(a^2*b^2))^(1/4) + sqrt(2)*(a^4*b^2*x^2 - a^2*b^4)*(1/(a^2*b^2))^(3/4))*sqrt(a^2*x^3 - b^2*x) + 4*(a^4*b^2*x^3 - a^2*b^4*x)*sqrt(1/(a^2*b^2)))/(a^4*x^4 - a^2*b^2*x^2 + b^4))","B",0
2883,1,433,0,4.058452," ","integrate((x^4+1)^(1/2)*(x^2+(x^4+1)^(1/2))^(1/2)/(x^4-1),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} - 1} \arctan\left(\frac{x^{8} - 2 \, x^{4} - 2 \, {\left(2 \, x^{7} - 2 \, x^{3} + \sqrt{2} {\left(3 \, x^{7} + x^{3}\right)} - {\left(4 \, \sqrt{2} x^{5} + 5 \, x^{5} - x\right)} \sqrt{x^{4} + 1}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} - 1} - 2 \, \sqrt{2} {\left(x^{8} + 3 \, x^{4}\right)} - 2 \, {\left(3 \, x^{6} + x^{2} + \sqrt{2} {\left(x^{6} - x^{2}\right)}\right)} \sqrt{x^{4} + 1} + 1}{7 \, x^{8} + 10 \, x^{4} - 1}\right) - \frac{1}{8} \, \sqrt{2} \sqrt{\sqrt{2} + 1} \log\left(\frac{2 \, {\left(\sqrt{2} x^{3} + 2 \, x^{3} + \sqrt{x^{4} + 1} {\left(\sqrt{2} x + x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + {\left(2 \, \sqrt{2} x^{4} + 3 \, x^{4} + 2 \, \sqrt{x^{4} + 1} {\left(\sqrt{2} x^{2} + x^{2}\right)} + 1\right)} \sqrt{\sqrt{2} + 1}}{x^{4} - 1}\right) + \frac{1}{8} \, \sqrt{2} \sqrt{\sqrt{2} + 1} \log\left(\frac{2 \, {\left(\sqrt{2} x^{3} + 2 \, x^{3} + \sqrt{x^{4} + 1} {\left(\sqrt{2} x + x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} - {\left(2 \, \sqrt{2} x^{4} + 3 \, x^{4} + 2 \, \sqrt{x^{4} + 1} {\left(\sqrt{2} x^{2} + x^{2}\right)} + 1\right)} \sqrt{\sqrt{2} + 1}}{x^{4} - 1}\right) + \frac{1}{4} \, \sqrt{2} \log\left(4 \, x^{4} + 4 \, \sqrt{x^{4} + 1} x^{2} + 2 \, {\left(\sqrt{2} x^{3} + \sqrt{2} \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 1\right)"," ",0,"-1/2*sqrt(2)*sqrt(sqrt(2) - 1)*arctan((x^8 - 2*x^4 - 2*(2*x^7 - 2*x^3 + sqrt(2)*(3*x^7 + x^3) - (4*sqrt(2)*x^5 + 5*x^5 - x)*sqrt(x^4 + 1))*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) - 1) - 2*sqrt(2)*(x^8 + 3*x^4) - 2*(3*x^6 + x^2 + sqrt(2)*(x^6 - x^2))*sqrt(x^4 + 1) + 1)/(7*x^8 + 10*x^4 - 1)) - 1/8*sqrt(2)*sqrt(sqrt(2) + 1)*log((2*(sqrt(2)*x^3 + 2*x^3 + sqrt(x^4 + 1)*(sqrt(2)*x + x))*sqrt(x^2 + sqrt(x^4 + 1)) + (2*sqrt(2)*x^4 + 3*x^4 + 2*sqrt(x^4 + 1)*(sqrt(2)*x^2 + x^2) + 1)*sqrt(sqrt(2) + 1))/(x^4 - 1)) + 1/8*sqrt(2)*sqrt(sqrt(2) + 1)*log((2*(sqrt(2)*x^3 + 2*x^3 + sqrt(x^4 + 1)*(sqrt(2)*x + x))*sqrt(x^2 + sqrt(x^4 + 1)) - (2*sqrt(2)*x^4 + 3*x^4 + 2*sqrt(x^4 + 1)*(sqrt(2)*x^2 + x^2) + 1)*sqrt(sqrt(2) + 1))/(x^4 - 1)) + 1/4*sqrt(2)*log(4*x^4 + 4*sqrt(x^4 + 1)*x^2 + 2*(sqrt(2)*x^3 + sqrt(2)*sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1)","A",0
2884,-1,0,0,0.000000," ","integrate(x^4/(1-x*(x^2+1)^(1/2)*(x-(x^2+1)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2885,1,394,0,2.016922," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/(1+x)^2/(x^4+1)^(1/2),x, algorithm=""fricas"")","\frac{4 \, {\left(x + 1\right)} \sqrt{\sqrt{2} + 1} \arctan\left(\frac{2 \, {\left(x^{3} + x^{2} - \sqrt{2} {\left(x^{3} + 1\right)} + \sqrt{x^{4} + 1} {\left(\sqrt{2} x - x - 1\right)} - x + 1\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} + 1} + {\left(2 \, x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 2 \, \sqrt{x^{4} + 1} {\left(\sqrt{2} - 1\right)} + 2\right)} \sqrt{2 \, \sqrt{2} + 2} \sqrt{\sqrt{2} + 1}}{2 \, {\left(x^{2} - 2 \, x + 1\right)}}\right) + {\left(x + 1\right)} \sqrt{\sqrt{2} - 1} \log\left(-\frac{{\left(2 \, x^{3} - \sqrt{2} {\left(x^{3} - x^{2} - x - 1\right)} + \sqrt{x^{4} + 1} {\left(\sqrt{2} {\left(x - 1\right)} - 2 \, x\right)} - 2\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + {\left(\sqrt{2} {\left(x^{2} + 1\right)} + 2 \, \sqrt{x^{4} + 1}\right)} \sqrt{\sqrt{2} - 1}}{x^{2} + 2 \, x + 1}\right) - {\left(x + 1\right)} \sqrt{\sqrt{2} - 1} \log\left(-\frac{{\left(2 \, x^{3} - \sqrt{2} {\left(x^{3} - x^{2} - x - 1\right)} + \sqrt{x^{4} + 1} {\left(\sqrt{2} {\left(x - 1\right)} - 2 \, x\right)} - 2\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} - {\left(\sqrt{2} {\left(x^{2} + 1\right)} + 2 \, \sqrt{x^{4} + 1}\right)} \sqrt{\sqrt{2} - 1}}{x^{2} + 2 \, x + 1}\right) + 4 \, \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(x^{2} - \sqrt{x^{4} + 1} - 1\right)}}{8 \, {\left(x + 1\right)}}"," ",0,"1/8*(4*(x + 1)*sqrt(sqrt(2) + 1)*arctan(1/2*(2*(x^3 + x^2 - sqrt(2)*(x^3 + 1) + sqrt(x^4 + 1)*(sqrt(2)*x - x - 1) - x + 1)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) + 1) + (2*x^2 - sqrt(2)*(x^2 + 1) + 2*sqrt(x^4 + 1)*(sqrt(2) - 1) + 2)*sqrt(2*sqrt(2) + 2)*sqrt(sqrt(2) + 1))/(x^2 - 2*x + 1)) + (x + 1)*sqrt(sqrt(2) - 1)*log(-((2*x^3 - sqrt(2)*(x^3 - x^2 - x - 1) + sqrt(x^4 + 1)*(sqrt(2)*(x - 1) - 2*x) - 2)*sqrt(x^2 + sqrt(x^4 + 1)) + (sqrt(2)*(x^2 + 1) + 2*sqrt(x^4 + 1))*sqrt(sqrt(2) - 1))/(x^2 + 2*x + 1)) - (x + 1)*sqrt(sqrt(2) - 1)*log(-((2*x^3 - sqrt(2)*(x^3 - x^2 - x - 1) + sqrt(x^4 + 1)*(sqrt(2)*(x - 1) - 2*x) - 2)*sqrt(x^2 + sqrt(x^4 + 1)) - (sqrt(2)*(x^2 + 1) + 2*sqrt(x^4 + 1))*sqrt(sqrt(2) - 1))/(x^2 + 2*x + 1)) + 4*sqrt(x^2 + sqrt(x^4 + 1))*(x^2 - sqrt(x^4 + 1) - 1))/(x + 1)","A",0
2886,-1,0,0,0.000000," ","integrate((-b+x)*(a*b-2*b*x+x^2)/(x*(-a+x)*(-b+x)^2)^(1/3)/(-b^2*d+2*b*d*x-(-a^2+d)*x^2-2*a*x^3+x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2887,1,162,0,1.034448," ","integrate((a^8*x^8+b^8)/(a^4*x^4-b^4)^(1/2)/(a^8*x^8-b^8),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{a^{4} x^{4} - b^{4}} a b x - 2 \, {\left(a^{4} x^{4} - b^{4}\right)} \arctan\left(\frac{\sqrt{a^{4} x^{4} - b^{4}} a x}{a^{2} b x^{2} + b^{3}}\right) - {\left(a^{4} x^{4} - b^{4}\right)} \log\left(\frac{a^{4} x^{4} + 2 \, a^{2} b^{2} x^{2} - b^{4} - 2 \, \sqrt{a^{4} x^{4} - b^{4}} a b x}{a^{4} x^{4} + b^{4}}\right)}{8 \, {\left(a^{5} b x^{4} - a b^{5}\right)}}"," ",0,"-1/8*(4*sqrt(a^4*x^4 - b^4)*a*b*x - 2*(a^4*x^4 - b^4)*arctan(sqrt(a^4*x^4 - b^4)*a*x/(a^2*b*x^2 + b^3)) - (a^4*x^4 - b^4)*log((a^4*x^4 + 2*a^2*b^2*x^2 - b^4 - 2*sqrt(a^4*x^4 - b^4)*a*b*x)/(a^4*x^4 + b^4)))/(a^5*b*x^4 - a*b^5)","A",0
2888,1,424,0,0.648877," ","integrate(1/(x^2-1)^(1/2)/(x^(1/2)+(x^2-1)^(1/2))^2,x, algorithm=""fricas"")","\frac{4 \, \sqrt{5} {\left(x^{2} - x - 1\right)} \sqrt{10 \, \sqrt{5} - 22} \arctan\left(\frac{1}{2} \, \sqrt{2 \, x^{2} - \sqrt{x^{2} - 1} {\left(2 \, x + \sqrt{5} - 1\right)} + \sqrt{5} x - x} \sqrt{10 \, \sqrt{5} - 22} {\left(\sqrt{5} + 2\right)} + \frac{1}{4} \, {\left(\sqrt{5} {\left(2 \, x + 1\right)} - 2 \, \sqrt{x^{2} - 1} {\left(\sqrt{5} + 2\right)} + 4 \, x + 3\right)} \sqrt{10 \, \sqrt{5} - 22}\right) - 4 \, \sqrt{5} {\left(x^{2} - x - 1\right)} \sqrt{10 \, \sqrt{5} - 22} \arctan\left(\frac{1}{4} \, {\left(\sqrt{2} \sqrt{2 \, x + \sqrt{5} - 1} {\left(\sqrt{5} + 2\right)} - 2 \, \sqrt{x} {\left(\sqrt{5} + 2\right)}\right)} \sqrt{10 \, \sqrt{5} - 22}\right) - \sqrt{5} {\left(x^{2} - x - 1\right)} \sqrt{10 \, \sqrt{5} + 22} \log\left(\sqrt{10 \, \sqrt{5} + 22} {\left(\sqrt{5} - 3\right)} - 4 \, x + 2 \, \sqrt{5} + 4 \, \sqrt{x^{2} - 1} + 2\right) + \sqrt{5} {\left(x^{2} - x - 1\right)} \sqrt{10 \, \sqrt{5} + 22} \log\left(\sqrt{10 \, \sqrt{5} + 22} {\left(\sqrt{5} - 3\right)} + 4 \, \sqrt{x}\right) + \sqrt{5} {\left(x^{2} - x - 1\right)} \sqrt{10 \, \sqrt{5} + 22} \log\left(-\sqrt{10 \, \sqrt{5} + 22} {\left(\sqrt{5} - 3\right)} - 4 \, x + 2 \, \sqrt{5} + 4 \, \sqrt{x^{2} - 1} + 2\right) - \sqrt{5} {\left(x^{2} - x - 1\right)} \sqrt{10 \, \sqrt{5} + 22} \log\left(-\sqrt{10 \, \sqrt{5} + 22} {\left(\sqrt{5} - 3\right)} + 4 \, \sqrt{x}\right) - 40 \, x^{2} - 20 \, \sqrt{x^{2} - 1} {\left(2 \, x - 1\right)} + 20 \, {\left(2 \, x - 1\right)} \sqrt{x} + 40 \, x + 40}{50 \, {\left(x^{2} - x - 1\right)}}"," ",0,"1/50*(4*sqrt(5)*(x^2 - x - 1)*sqrt(10*sqrt(5) - 22)*arctan(1/2*sqrt(2*x^2 - sqrt(x^2 - 1)*(2*x + sqrt(5) - 1) + sqrt(5)*x - x)*sqrt(10*sqrt(5) - 22)*(sqrt(5) + 2) + 1/4*(sqrt(5)*(2*x + 1) - 2*sqrt(x^2 - 1)*(sqrt(5) + 2) + 4*x + 3)*sqrt(10*sqrt(5) - 22)) - 4*sqrt(5)*(x^2 - x - 1)*sqrt(10*sqrt(5) - 22)*arctan(1/4*(sqrt(2)*sqrt(2*x + sqrt(5) - 1)*(sqrt(5) + 2) - 2*sqrt(x)*(sqrt(5) + 2))*sqrt(10*sqrt(5) - 22)) - sqrt(5)*(x^2 - x - 1)*sqrt(10*sqrt(5) + 22)*log(sqrt(10*sqrt(5) + 22)*(sqrt(5) - 3) - 4*x + 2*sqrt(5) + 4*sqrt(x^2 - 1) + 2) + sqrt(5)*(x^2 - x - 1)*sqrt(10*sqrt(5) + 22)*log(sqrt(10*sqrt(5) + 22)*(sqrt(5) - 3) + 4*sqrt(x)) + sqrt(5)*(x^2 - x - 1)*sqrt(10*sqrt(5) + 22)*log(-sqrt(10*sqrt(5) + 22)*(sqrt(5) - 3) - 4*x + 2*sqrt(5) + 4*sqrt(x^2 - 1) + 2) - sqrt(5)*(x^2 - x - 1)*sqrt(10*sqrt(5) + 22)*log(-sqrt(10*sqrt(5) + 22)*(sqrt(5) - 3) + 4*sqrt(x)) - 40*x^2 - 20*sqrt(x^2 - 1)*(2*x - 1) + 20*(2*x - 1)*sqrt(x) + 40*x + 40)/(x^2 - x - 1)","A",0
2889,-1,0,0,0.000000," ","integrate((a*x^2+b)/(c*x^2+d)/(x^3+x)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2890,-1,0,0,0.000000," ","integrate(x^3*(4*a*b-3*(a+b)*x+2*x^2)/(x^2*(-a+x)*(-b+x))^(2/3)/(-a*b+(a+b)*x-x^2+d*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2891,-1,0,0,0.000000," ","integrate((a*x^3+b*x)/(2*a*x^3+b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2892,-1,0,0,0.000000," ","integrate(1/((-1+2*x)^(1/2)*(4+3*x)+(1+x)*(-3+4*x)^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2893,-1,0,0,0.000000," ","integrate((e*x+f)/(g*x+h)/(d+(c+(a*x+b)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2894,1,159,0,0.457169," ","integrate((x^2+1)^(3/2)*(x+(x^2+1)^(1/2))^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{1}{39729930240} \, {\left(246005760 \, x^{4} + 377783296 \, x^{3} + 987937568 \, x^{2} + 2 \, {\left(123002880 \, x^{3} - 47596032 \, x^{2} + 578794096 \, x - 588408391\right)} \sqrt{x^{2} + 1} - {\left(1493606400 \, x^{4} + 391339520 \, x^{3} + 7419648592 \, x^{2} - {\left(9857802240 \, x^{3} + 128933376 \, x^{2} + 25148050000 \, x + 2167822549\right)} \sqrt{x^{2} + 1} + 3444246485 \, x - 15903121112\right)} \sqrt{x + \sqrt{x^{2} + 1}} + 2654539406 \, x + 21890925968\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \frac{545}{16384} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) + \frac{545}{16384} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right)"," ",0,"1/39729930240*(246005760*x^4 + 377783296*x^3 + 987937568*x^2 + 2*(123002880*x^3 - 47596032*x^2 + 578794096*x - 588408391)*sqrt(x^2 + 1) - (1493606400*x^4 + 391339520*x^3 + 7419648592*x^2 - (9857802240*x^3 + 128933376*x^2 + 25148050000*x + 2167822549)*sqrt(x^2 + 1) + 3444246485*x - 15903121112)*sqrt(x + sqrt(x^2 + 1)) + 2654539406*x + 21890925968)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 545/16384*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) + 545/16384*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1)","A",0
2895,-1,0,0,0.000000," ","integrate((a-5*b+4*x)*(-a^3+3*a^2*x-3*a*x^2+x^3)/((-a+x)*(-b+x))^(2/3)/(b-a^5*d-(-5*a^4*d+1)*x-10*a^3*d*x^2+10*a^2*d*x^3-5*a*d*x^4+d*x^5),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2896,-1,0,0,0.000000," ","integrate((3*x^4-3*x^3+2*x^2-2*x+2)*(x^6-x^4-x^3-x)^(1/3)/(1+x)/(x^3-2*x^2+2*x-1)/(x^5-x^3-1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2897,1,549,0,0.596359," ","integrate(1/(a*x-b)/(a^3*x^3-b^2*x^2)^(1/3),x, algorithm=""fricas"")","\left[\frac{\sqrt{3} {\left(a^{3} - a b\right)} \sqrt{-\frac{1}{{\left(a^{3} - a b\right)}^{\frac{2}{3}}}} \log\left(-\frac{2 \, b^{2} x - {\left(3 \, a^{3} - a b\right)} x^{2} + 3 \, {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} - a b\right)}^{\frac{2}{3}} x + \sqrt{3} {\left({\left(a^{3} - a b\right)}^{\frac{4}{3}} x^{2} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} - a b\right)} x - 2 \, {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}} {\left(a^{3} - a b\right)}^{\frac{2}{3}}\right)} \sqrt{-\frac{1}{{\left(a^{3} - a b\right)}^{\frac{2}{3}}}}}{a x^{2} - b x}\right) + 2 \, {\left(a^{3} - a b\right)}^{\frac{2}{3}} \log\left(-\frac{{\left(a^{3} - a b\right)}^{\frac{1}{3}} x - {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - {\left(a^{3} - a b\right)}^{\frac{2}{3}} \log\left(\frac{{\left(a^{3} - a b\right)}^{\frac{2}{3}} x^{2} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} - a b\right)}^{\frac{1}{3}} x + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{2 \, {\left(a^{3} b - a b^{2}\right)}}, \frac{2 \, \sqrt{3} {\left(a^{3} - a b\right)}^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left({\left(a^{3} - a b\right)}^{\frac{1}{3}} x + 2 \, {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}\right)}}{3 \, {\left(a^{3} - a b\right)}^{\frac{1}{3}} x}\right) + 2 \, {\left(a^{3} - a b\right)}^{\frac{2}{3}} \log\left(-\frac{{\left(a^{3} - a b\right)}^{\frac{1}{3}} x - {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - {\left(a^{3} - a b\right)}^{\frac{2}{3}} \log\left(\frac{{\left(a^{3} - a b\right)}^{\frac{2}{3}} x^{2} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} - a b\right)}^{\frac{1}{3}} x + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{2 \, {\left(a^{3} b - a b^{2}\right)}}\right]"," ",0,"[1/2*(sqrt(3)*(a^3 - a*b)*sqrt(-1/(a^3 - a*b)^(2/3))*log(-(2*b^2*x - (3*a^3 - a*b)*x^2 + 3*(a^3*x^3 - b^2*x^2)^(1/3)*(a^3 - a*b)^(2/3)*x + sqrt(3)*((a^3 - a*b)^(4/3)*x^2 + (a^3*x^3 - b^2*x^2)^(1/3)*(a^3 - a*b)*x - 2*(a^3*x^3 - b^2*x^2)^(2/3)*(a^3 - a*b)^(2/3))*sqrt(-1/(a^3 - a*b)^(2/3)))/(a*x^2 - b*x)) + 2*(a^3 - a*b)^(2/3)*log(-((a^3 - a*b)^(1/3)*x - (a^3*x^3 - b^2*x^2)^(1/3))/x) - (a^3 - a*b)^(2/3)*log(((a^3 - a*b)^(2/3)*x^2 + (a^3*x^3 - b^2*x^2)^(1/3)*(a^3 - a*b)^(1/3)*x + (a^3*x^3 - b^2*x^2)^(2/3))/x^2))/(a^3*b - a*b^2), 1/2*(2*sqrt(3)*(a^3 - a*b)^(2/3)*arctan(1/3*sqrt(3)*((a^3 - a*b)^(1/3)*x + 2*(a^3*x^3 - b^2*x^2)^(1/3))/((a^3 - a*b)^(1/3)*x)) + 2*(a^3 - a*b)^(2/3)*log(-((a^3 - a*b)^(1/3)*x - (a^3*x^3 - b^2*x^2)^(1/3))/x) - (a^3 - a*b)^(2/3)*log(((a^3 - a*b)^(2/3)*x^2 + (a^3*x^3 - b^2*x^2)^(1/3)*(a^3 - a*b)^(1/3)*x + (a^3*x^3 - b^2*x^2)^(2/3))/x^2))/(a^3*b - a*b^2)]","A",0
2898,1,337,0,0.992886," ","integrate((-b+x)*(-4*a+b+3*x)/((-a+x)*(-b+x)^2)^(1/3)/(b^4+a*d-(4*b^3+d)*x+6*b^2*x^2-4*b*x^3+x^4),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} {\left(d^{2}\right)}^{\frac{1}{6}} d \arctan\left(\frac{\sqrt{3} {\left(d^{2}\right)}^{\frac{1}{6}} {\left({\left(b^{2} - 2 \, b x + x^{2}\right)} {\left(d^{2}\right)}^{\frac{1}{3}} + 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} d\right)}}{3 \, {\left(b^{2} d - 2 \, b d x + d x^{2}\right)}}\right) - {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d^{2} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(b^{2} d - 2 \, b d x + d x^{2}\right)} {\left(d^{2}\right)}^{\frac{1}{3}} + {\left(b^{4} - 4 \, b^{3} x + 6 \, b^{2} x^{2} - 4 \, b x^{3} + x^{4}\right)} {\left(d^{2}\right)}^{\frac{2}{3}}}{b^{4} - 4 \, b^{3} x + 6 \, b^{2} x^{2} - 4 \, b x^{3} + x^{4}}\right) + 2 \, {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(-\frac{{\left(b^{2} - 2 \, b x + x^{2}\right)} {\left(d^{2}\right)}^{\frac{1}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} d}{b^{2} - 2 \, b x + x^{2}}\right)}{2 \, d^{2}}"," ",0,"1/2*(2*sqrt(3)*(d^2)^(1/6)*d*arctan(1/3*sqrt(3)*(d^2)^(1/6)*((b^2 - 2*b*x + x^2)*(d^2)^(1/3) + 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*d)/(b^2*d - 2*b*d*x + d*x^2)) - (d^2)^(2/3)*log(((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d^2 + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(b^2*d - 2*b*d*x + d*x^2)*(d^2)^(1/3) + (b^4 - 4*b^3*x + 6*b^2*x^2 - 4*b*x^3 + x^4)*(d^2)^(2/3))/(b^4 - 4*b^3*x + 6*b^2*x^2 - 4*b*x^3 + x^4)) + 2*(d^2)^(2/3)*log(-((b^2 - 2*b*x + x^2)*(d^2)^(1/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*d)/(b^2 - 2*b*x + x^2)))/d^2","A",0
2899,1,166,0,1.434295," ","integrate(x^4/(a^4*x^4-b^4)^(1/2)/(a^8*x^8-b^8),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{a^{4} x^{4} - b^{4}} a b x + 2 \, {\left(a^{4} x^{4} - b^{4}\right)} \arctan\left(\frac{\sqrt{a^{4} x^{4} - b^{4}} a x}{a^{2} b x^{2} + b^{3}}\right) - {\left(a^{4} x^{4} - b^{4}\right)} \log\left(\frac{a^{4} x^{4} + 2 \, a^{2} b^{2} x^{2} - b^{4} + 2 \, \sqrt{a^{4} x^{4} - b^{4}} a b x}{a^{4} x^{4} + b^{4}}\right)}{16 \, {\left(a^{9} b^{5} x^{4} - a^{5} b^{9}\right)}}"," ",0,"-1/16*(4*sqrt(a^4*x^4 - b^4)*a*b*x + 2*(a^4*x^4 - b^4)*arctan(sqrt(a^4*x^4 - b^4)*a*x/(a^2*b*x^2 + b^3)) - (a^4*x^4 - b^4)*log((a^4*x^4 + 2*a^2*b^2*x^2 - b^4 + 2*sqrt(a^4*x^4 - b^4)*a*b*x)/(a^4*x^4 + b^4)))/(a^9*b^5*x^4 - a^5*b^9)","A",0
2900,1,770,0,0.747830," ","integrate(1/(a^2*x^2-b)^(1/2)/(a*x+(a^2*x^2-b)^(1/2))^(1/2)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/4))^(1/3),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(6 \, \sqrt{\frac{1}{3}} b c \sqrt{-\frac{1}{c^{\frac{2}{3}}}} \log\left(6 \, \sqrt{\frac{1}{3}} {\left(a c^{\frac{2}{3}} x - \sqrt{a^{2} x^{2} - b} c^{\frac{2}{3}}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}} \sqrt{-\frac{1}{c^{\frac{2}{3}}}} - 3 \, {\left(a c^{\frac{2}{3}} x + \sqrt{\frac{1}{3}} {\left(a c x - \sqrt{a^{2} x^{2} - b} c\right)} \sqrt{-\frac{1}{c^{\frac{2}{3}}}} - \sqrt{a^{2} x^{2} - b} c^{\frac{2}{3}}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} + 3 \, {\left(a c x - \sqrt{\frac{1}{3}} {\left(a c^{\frac{4}{3}} x - \sqrt{a^{2} x^{2} - b} c^{\frac{4}{3}}\right)} \sqrt{-\frac{1}{c^{\frac{2}{3}}}} - \sqrt{a^{2} x^{2} - b} c\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} + 2 \, b\right) - 2 \, b c^{\frac{2}{3}} \log\left({\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} c^{\frac{1}{3}} + c^{\frac{2}{3}}\right) + 4 \, b c^{\frac{2}{3}} \log\left({\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} - c^{\frac{1}{3}}\right) + 3 \, {\left(4 \, {\left(a c x - \sqrt{a^{2} x^{2} - b} c\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} - 3 \, {\left(a c^{2} x - \sqrt{a^{2} x^{2} - b} c^{2}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}}\right)} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}}\right)}}{9 \, a b c^{3}}, \frac{2 \, {\left(12 \, \sqrt{\frac{1}{3}} b c^{\frac{2}{3}} \arctan\left(\sqrt{\frac{1}{3}} + \frac{2 \, \sqrt{\frac{1}{3}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}}{c^{\frac{1}{3}}}\right) - 2 \, b c^{\frac{2}{3}} \log\left({\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} c^{\frac{1}{3}} + c^{\frac{2}{3}}\right) + 4 \, b c^{\frac{2}{3}} \log\left({\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} - c^{\frac{1}{3}}\right) + 3 \, {\left(4 \, {\left(a c x - \sqrt{a^{2} x^{2} - b} c\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} - 3 \, {\left(a c^{2} x - \sqrt{a^{2} x^{2} - b} c^{2}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}}\right)} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}}\right)}}{9 \, a b c^{3}}\right]"," ",0,"[2/9*(6*sqrt(1/3)*b*c*sqrt(-1/c^(2/3))*log(6*sqrt(1/3)*(a*c^(2/3)*x - sqrt(a^2*x^2 - b)*c^(2/3))*(a*x + sqrt(a^2*x^2 - b))^(3/4)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3)*sqrt(-1/c^(2/3)) - 3*(a*c^(2/3)*x + sqrt(1/3)*(a*c*x - sqrt(a^2*x^2 - b)*c)*sqrt(-1/c^(2/3)) - sqrt(a^2*x^2 - b)*c^(2/3))*(a*x + sqrt(a^2*x^2 - b))^(3/4)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3) + 3*(a*c*x - sqrt(1/3)*(a*c^(4/3)*x - sqrt(a^2*x^2 - b)*c^(4/3))*sqrt(-1/c^(2/3)) - sqrt(a^2*x^2 - b)*c)*(a*x + sqrt(a^2*x^2 - b))^(3/4) + 2*b) - 2*b*c^(2/3)*log((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)*c^(1/3) + c^(2/3)) + 4*b*c^(2/3)*log((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3) - c^(1/3)) + 3*(4*(a*c*x - sqrt(a^2*x^2 - b)*c)*(a*x + sqrt(a^2*x^2 - b))^(3/4) - 3*(a*c^2*x - sqrt(a^2*x^2 - b)*c^2)*sqrt(a*x + sqrt(a^2*x^2 - b)))*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3))/(a*b*c^3), 2/9*(12*sqrt(1/3)*b*c^(2/3)*arctan(sqrt(1/3) + 2*sqrt(1/3)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)/c^(1/3)) - 2*b*c^(2/3)*log((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)*c^(1/3) + c^(2/3)) + 4*b*c^(2/3)*log((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3) - c^(1/3)) + 3*(4*(a*c*x - sqrt(a^2*x^2 - b)*c)*(a*x + sqrt(a^2*x^2 - b))^(3/4) - 3*(a*c^2*x - sqrt(a^2*x^2 - b)*c^2)*sqrt(a*x + sqrt(a^2*x^2 - b)))*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3))/(a*b*c^3)]","A",0
2901,-1,0,0,0.000000," ","integrate((x^2+1)^2*(x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2)/(x^4+x^2-1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2902,-1,0,0,0.000000," ","integrate((x^2+1)^2*(x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2)/(x^4+x^2-1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2903,-1,0,0,0.000000," ","integrate(x^2*(a*x^4+b*x^3)^(1/4)/(a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2904,-1,0,0,0.000000," ","integrate(x^2*(a*x^4+b*x^3)^(1/4)/(a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2905,1,6976,0,1.853117," ","integrate((x^2+1)*(x+(x^2+1)^(1/2))^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2,x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 673} - \frac{5}{2} \, \sqrt{2} + 2} \log\left(\frac{1}{8} \, {\left(5 \, {\left(300981 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)} - 1111618 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} - 5558090 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - {\left(1504905 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} + 24078480 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)} - 213263242 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} + 8 \, {\left(5 \, {\left(601962 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 1504905 \, \sqrt{2} - 2315542\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} + 11116180 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 27790450 \, \sqrt{2} - 146566162\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 673} - 213263242 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)} - 5544442608 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 673} - \frac{5}{2} \, \sqrt{2} + 2} + 18101760817 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 673} - \frac{5}{2} \, \sqrt{2} + 2} \log\left(-\frac{1}{8} \, {\left(5 \, {\left(300981 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)} - 1111618 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} - 5558090 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - {\left(1504905 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} + 24078480 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)} - 213263242 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} + 8 \, {\left(5 \, {\left(601962 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 1504905 \, \sqrt{2} - 2315542\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} + 11116180 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 27790450 \, \sqrt{2} - 146566162\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 673} - 213263242 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)} - 5544442608 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 673} - \frac{5}{2} \, \sqrt{2} + 2} + 18101760817 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 673} - \frac{5}{2} \, \sqrt{2} + 2} \log\left(\frac{1}{8} \, {\left(5 \, {\left(300981 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)} - 1111618 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} - 5558090 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - {\left(1504905 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} + 24078480 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)} - 213263242 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} - 8 \, {\left(5 \, {\left(601962 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 1504905 \, \sqrt{2} - 2315542\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} + 11116180 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 27790450 \, \sqrt{2} - 146566162\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 673} - 213263242 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)} - 5544442608 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 673} - \frac{5}{2} \, \sqrt{2} + 2} + 18101760817 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 673} - \frac{5}{2} \, \sqrt{2} + 2} \log\left(-\frac{1}{8} \, {\left(5 \, {\left(300981 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)} - 1111618 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} - 5558090 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - {\left(1504905 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} + 24078480 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)} - 213263242 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} - 8 \, {\left(5 \, {\left(601962 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 1504905 \, \sqrt{2} - 2315542\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} + 11116180 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 27790450 \, \sqrt{2} - 146566162\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 673} - 213263242 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)} - 5544442608 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 673} - \frac{5}{2} \, \sqrt{2} + 2} + 18101760817 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{4 \, \sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - \frac{21}{8} \, \sqrt{2} - \frac{507}{4}} - 7 \, \sqrt{2} - 6} \log\left(\frac{1}{4} \, {\left({\left(421182 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 1474137 \, \sqrt{2} + 1389259\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - {\left(210591 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} - 10108368 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 35379288 \, \sqrt{2} - 31269425\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} + 125713 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + 8 \, {\left({\left(210591 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)} + 125713 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} - 125713 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)} + 2072791 \, \sqrt{2}\right)} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - \frac{21}{8} \, \sqrt{2} - \frac{507}{4}} - 1888642 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 6610247 \, \sqrt{2} - 86730966\right)} \sqrt{4 \, \sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - \frac{21}{8} \, \sqrt{2} - \frac{507}{4}} - 7 \, \sqrt{2} - 6} + 606320225 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{4 \, \sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - \frac{21}{8} \, \sqrt{2} - \frac{507}{4}} - 7 \, \sqrt{2} - 6} \log\left(-\frac{1}{4} \, {\left({\left(421182 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 1474137 \, \sqrt{2} + 1389259\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - {\left(210591 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} - 10108368 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 35379288 \, \sqrt{2} - 31269425\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} + 125713 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + 8 \, {\left({\left(210591 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)} + 125713 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} - 125713 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)} + 2072791 \, \sqrt{2}\right)} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - \frac{21}{8} \, \sqrt{2} - \frac{507}{4}} - 1888642 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 6610247 \, \sqrt{2} - 86730966\right)} \sqrt{4 \, \sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - \frac{21}{8} \, \sqrt{2} - \frac{507}{4}} - 7 \, \sqrt{2} - 6} + 606320225 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - \frac{21}{8} \, \sqrt{2} - \frac{507}{4}} - \frac{7}{4} \, \sqrt{2} - \frac{3}{2}} \log\left(\frac{1}{2} \, {\left({\left(421182 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 1474137 \, \sqrt{2} + 1389259\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - {\left(210591 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} - 10108368 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 35379288 \, \sqrt{2} - 31269425\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} + 125713 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} - 8 \, {\left({\left(210591 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)} + 125713 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} - 125713 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)} + 2072791 \, \sqrt{2}\right)} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - \frac{21}{8} \, \sqrt{2} - \frac{507}{4}} - 1888642 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 6610247 \, \sqrt{2} - 86730966\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - \frac{21}{8} \, \sqrt{2} - \frac{507}{4}} - \frac{7}{4} \, \sqrt{2} - \frac{3}{2}} + 606320225 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - \frac{21}{8} \, \sqrt{2} - \frac{507}{4}} - \frac{7}{4} \, \sqrt{2} - \frac{3}{2}} \log\left(-\frac{1}{2} \, {\left({\left(421182 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 1474137 \, \sqrt{2} + 1389259\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - {\left(210591 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} - 10108368 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 35379288 \, \sqrt{2} - 31269425\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} + 125713 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} - 8 \, {\left({\left(210591 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)} + 125713 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} - 125713 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)} + 2072791 \, \sqrt{2}\right)} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - \frac{21}{8} \, \sqrt{2} - \frac{507}{4}} - 1888642 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 6610247 \, \sqrt{2} - 86730966\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - \frac{21}{8} \, \sqrt{2} - \frac{507}{4}} - \frac{7}{4} \, \sqrt{2} - \frac{3}{2}} + 606320225 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4} \log\left(\frac{1}{4} \, {\left(5 \, {\left(601962 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 1504905 \, \sqrt{2} - 2315542\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + 1504905 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{3} - {\left(1504905 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} + 48156960 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 120392400 \, \sqrt{2} - 309577162\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} + 24078480 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 15915875280 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 39789688200 \, \sqrt{2} + 63000481368\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4} + 18101760817 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4} \log\left(-\frac{1}{4} \, {\left(5 \, {\left(601962 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 1504905 \, \sqrt{2} - 2315542\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + 1504905 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{3} - {\left(1504905 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} + 48156960 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 120392400 \, \sqrt{2} - 309577162\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} + 24078480 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 15915875280 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 39789688200 \, \sqrt{2} + 63000481368\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4} + 18101760817 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + \frac{5}{256} \, \sqrt{2} + \frac{1}{64}} \log\left(4 \, {\left(1504905 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{3} + 29636570 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 15489348796 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 38723371990 \, \sqrt{2} + 48665202704\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + \frac{5}{256} \, \sqrt{2} + \frac{1}{64}} + 18101760817 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + \frac{5}{256} \, \sqrt{2} + \frac{1}{64}} \log\left(-4 \, {\left(1504905 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{3} + 29636570 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 15489348796 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 38723371990 \, \sqrt{2} + 48665202704\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + \frac{5}{256} \, \sqrt{2} + \frac{1}{64}} + 18101760817 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6} \log\left(\frac{1}{2} \, {\left({\left(421182 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 1474137 \, \sqrt{2} + 1389259\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} + 210591 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{3} - {\left(210591 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} - 10108368 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 35379288 \, \sqrt{2} - 31269425\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} - 5054184 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + 1799289504 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 6297513264 \, \sqrt{2} + 5950573476\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6} + 606320225 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6} \log\left(-\frac{1}{2} \, {\left({\left(421182 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 1474137 \, \sqrt{2} + 1389259\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} + 210591 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{3} - {\left(210591 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} - 10108368 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 35379288 \, \sqrt{2} - 31269425\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} - 5054184 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + 1799289504 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 6297513264 \, \sqrt{2} + 5950573476\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6} + 606320225 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + \frac{7}{256} \, \sqrt{2} - \frac{3}{128}} \log\left(8 \, {\left(210591 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{3} - 5179897 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + 1801178146 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 6304123511 \, \sqrt{2} + 12273741042\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + \frac{7}{256} \, \sqrt{2} - \frac{3}{128}} + 606320225 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + \frac{7}{256} \, \sqrt{2} - \frac{3}{128}} \log\left(-8 \, {\left(210591 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{3} - 5179897 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + 1801178146 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 6304123511 \, \sqrt{2} + 12273741042\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + \frac{7}{256} \, \sqrt{2} - \frac{3}{128}} + 606320225 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 16 \, \sqrt{x + \sqrt{x^{2} + 1}} x \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{16 \, {\left(x^{2} - 1\right)}}"," ",0,"1/16*(sqrt(2)*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 673) - 5/2*sqrt(2) + 2)*log(1/8*(5*(300981*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4) - 1111618*sqrt(2))*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 - 5558090*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - (1504905*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 + 24078480*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4) - 213263242*sqrt(2))*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4) + 8*(5*(601962*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 1504905*sqrt(2) - 2315542)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4) + 11116180*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 27790450*sqrt(2) - 146566162)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 673) - 213263242*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4) - 5544442608*sqrt(2))*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 673) - 5/2*sqrt(2) + 2) + 18101760817*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(2)*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 673) - 5/2*sqrt(2) + 2)*log(-1/8*(5*(300981*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4) - 1111618*sqrt(2))*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 - 5558090*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - (1504905*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 + 24078480*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4) - 213263242*sqrt(2))*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4) + 8*(5*(601962*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 1504905*sqrt(2) - 2315542)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4) + 11116180*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 27790450*sqrt(2) - 146566162)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 673) - 213263242*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4) - 5544442608*sqrt(2))*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 673) - 5/2*sqrt(2) + 2) + 18101760817*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(2)*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 673) - 5/2*sqrt(2) + 2)*log(1/8*(5*(300981*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4) - 1111618*sqrt(2))*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 - 5558090*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - (1504905*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 + 24078480*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4) - 213263242*sqrt(2))*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4) - 8*(5*(601962*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 1504905*sqrt(2) - 2315542)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4) + 11116180*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 27790450*sqrt(2) - 146566162)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 673) - 213263242*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4) - 5544442608*sqrt(2))*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 673) - 5/2*sqrt(2) + 2) + 18101760817*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(2)*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 673) - 5/2*sqrt(2) + 2)*log(-1/8*(5*(300981*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4) - 1111618*sqrt(2))*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 - 5558090*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - (1504905*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 + 24078480*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4) - 213263242*sqrt(2))*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4) - 8*(5*(601962*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 1504905*sqrt(2) - 2315542)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4) + 11116180*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 27790450*sqrt(2) - 146566162)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 673) - 213263242*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4) - 5544442608*sqrt(2))*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 673) - 5/2*sqrt(2) + 2) + 18101760817*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(4*sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 21/8*sqrt(2) - 507/4) - 7*sqrt(2) - 6)*log(1/4*((421182*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 1474137*sqrt(2) + 1389259)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - (210591*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 - 10108368*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 35379288*sqrt(2) - 31269425)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6) + 125713*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 8*((210591*sqrt(2)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6) + 125713*sqrt(2))*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6) - 125713*sqrt(2)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6) + 2072791*sqrt(2))*sqrt(-3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 21/8*sqrt(2) - 507/4) - 1888642*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 6610247*sqrt(2) - 86730966)*sqrt(4*sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 21/8*sqrt(2) - 507/4) - 7*sqrt(2) - 6) + 606320225*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(4*sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 21/8*sqrt(2) - 507/4) - 7*sqrt(2) - 6)*log(-1/4*((421182*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 1474137*sqrt(2) + 1389259)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - (210591*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 - 10108368*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 35379288*sqrt(2) - 31269425)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6) + 125713*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 8*((210591*sqrt(2)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6) + 125713*sqrt(2))*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6) - 125713*sqrt(2)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6) + 2072791*sqrt(2))*sqrt(-3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 21/8*sqrt(2) - 507/4) - 1888642*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 6610247*sqrt(2) - 86730966)*sqrt(4*sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 21/8*sqrt(2) - 507/4) - 7*sqrt(2) - 6) + 606320225*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 21/8*sqrt(2) - 507/4) - 7/4*sqrt(2) - 3/2)*log(1/2*((421182*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 1474137*sqrt(2) + 1389259)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - (210591*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 - 10108368*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 35379288*sqrt(2) - 31269425)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6) + 125713*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 - 8*((210591*sqrt(2)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6) + 125713*sqrt(2))*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6) - 125713*sqrt(2)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6) + 2072791*sqrt(2))*sqrt(-3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 21/8*sqrt(2) - 507/4) - 1888642*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 6610247*sqrt(2) - 86730966)*sqrt(-sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 21/8*sqrt(2) - 507/4) - 7/4*sqrt(2) - 3/2) + 606320225*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 21/8*sqrt(2) - 507/4) - 7/4*sqrt(2) - 3/2)*log(-1/2*((421182*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 1474137*sqrt(2) + 1389259)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - (210591*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 - 10108368*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 35379288*sqrt(2) - 31269425)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6) + 125713*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 - 8*((210591*sqrt(2)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6) + 125713*sqrt(2))*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6) - 125713*sqrt(2)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6) + 2072791*sqrt(2))*sqrt(-3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 21/8*sqrt(2) - 507/4) - 1888642*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 6610247*sqrt(2) - 86730966)*sqrt(-sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 21/8*sqrt(2) - 507/4) - 7/4*sqrt(2) - 3/2) + 606320225*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*log(1/4*(5*(601962*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 1504905*sqrt(2) - 2315542)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1504905*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^3 - (1504905*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 + 48156960*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 120392400*sqrt(2) - 309577162)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4) + 24078480*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 15915875280*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 39789688200*sqrt(2) + 63000481368)*sqrt(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4) + 18101760817*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*log(-1/4*(5*(601962*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 1504905*sqrt(2) - 2315542)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1504905*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^3 - (1504905*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 + 48156960*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 120392400*sqrt(2) - 309577162)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4) + 24078480*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 15915875280*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 39789688200*sqrt(2) + 63000481368)*sqrt(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4) + 18101760817*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 16*(x^2 - 1)*sqrt(-1/128*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5/256*sqrt(2) + 1/64)*log(4*(1504905*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^3 + 29636570*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 15489348796*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 38723371990*sqrt(2) + 48665202704)*sqrt(-1/128*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5/256*sqrt(2) + 1/64) + 18101760817*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 16*(x^2 - 1)*sqrt(-1/128*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5/256*sqrt(2) + 1/64)*log(-4*(1504905*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^3 + 29636570*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 15489348796*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 38723371990*sqrt(2) + 48665202704)*sqrt(-1/128*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5/256*sqrt(2) + 1/64) + 18101760817*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*log(1/2*((421182*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 1474137*sqrt(2) + 1389259)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 + 210591*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^3 - (210591*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 - 10108368*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 35379288*sqrt(2) - 31269425)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6) - 5054184*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1799289504*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 6297513264*sqrt(2) + 5950573476)*sqrt(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6) + 606320225*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*log(-1/2*((421182*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 1474137*sqrt(2) + 1389259)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 + 210591*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^3 - (210591*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 - 10108368*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 35379288*sqrt(2) - 31269425)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6) - 5054184*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1799289504*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 6297513264*sqrt(2) + 5950573476)*sqrt(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6) + 606320225*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 16*(x^2 - 1)*sqrt(-1/128*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7/256*sqrt(2) - 3/128)*log(8*(210591*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^3 - 5179897*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1801178146*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 6304123511*sqrt(2) + 12273741042)*sqrt(-1/128*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7/256*sqrt(2) - 3/128) + 606320225*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 16*(x^2 - 1)*sqrt(-1/128*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7/256*sqrt(2) - 3/128)*log(-8*(210591*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^3 - 5179897*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1801178146*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 6304123511*sqrt(2) + 12273741042)*sqrt(-1/128*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7/256*sqrt(2) - 3/128) + 606320225*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 16*sqrt(x + sqrt(x^2 + 1))*x*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 - 1)","B",0
2906,1,6976,0,1.903014," ","integrate((x^2+1)*(x+(x^2+1)^(1/2))^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2,x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 673} - \frac{5}{2} \, \sqrt{2} + 2} \log\left(\frac{1}{8} \, {\left(5 \, {\left(300981 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)} - 1111618 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} - 5558090 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - {\left(1504905 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} + 24078480 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)} - 213263242 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} + 8 \, {\left(5 \, {\left(601962 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 1504905 \, \sqrt{2} - 2315542\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} + 11116180 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 27790450 \, \sqrt{2} - 146566162\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 673} - 213263242 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)} - 5544442608 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 673} - \frac{5}{2} \, \sqrt{2} + 2} + 18101760817 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 673} - \frac{5}{2} \, \sqrt{2} + 2} \log\left(-\frac{1}{8} \, {\left(5 \, {\left(300981 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)} - 1111618 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} - 5558090 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - {\left(1504905 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} + 24078480 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)} - 213263242 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} + 8 \, {\left(5 \, {\left(601962 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 1504905 \, \sqrt{2} - 2315542\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} + 11116180 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 27790450 \, \sqrt{2} - 146566162\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 673} - 213263242 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)} - 5544442608 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 673} - \frac{5}{2} \, \sqrt{2} + 2} + 18101760817 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 673} - \frac{5}{2} \, \sqrt{2} + 2} \log\left(\frac{1}{8} \, {\left(5 \, {\left(300981 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)} - 1111618 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} - 5558090 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - {\left(1504905 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} + 24078480 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)} - 213263242 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} - 8 \, {\left(5 \, {\left(601962 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 1504905 \, \sqrt{2} - 2315542\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} + 11116180 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 27790450 \, \sqrt{2} - 146566162\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 673} - 213263242 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)} - 5544442608 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 673} - \frac{5}{2} \, \sqrt{2} + 2} + 18101760817 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 673} - \frac{5}{2} \, \sqrt{2} + 2} \log\left(-\frac{1}{8} \, {\left(5 \, {\left(300981 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)} - 1111618 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} - 5558090 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - {\left(1504905 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} + 24078480 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)} - 213263242 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} - 8 \, {\left(5 \, {\left(601962 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 1504905 \, \sqrt{2} - 2315542\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} + 11116180 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 27790450 \, \sqrt{2} - 146566162\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 673} - 213263242 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)} - 5544442608 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 673} - \frac{5}{2} \, \sqrt{2} + 2} + 18101760817 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{4 \, \sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - \frac{21}{8} \, \sqrt{2} - \frac{507}{4}} - 7 \, \sqrt{2} - 6} \log\left(\frac{1}{4} \, {\left({\left(421182 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 1474137 \, \sqrt{2} + 1389259\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - {\left(210591 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} - 10108368 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 35379288 \, \sqrt{2} - 31269425\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} + 125713 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + 8 \, {\left({\left(210591 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)} + 125713 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} - 125713 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)} + 2072791 \, \sqrt{2}\right)} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - \frac{21}{8} \, \sqrt{2} - \frac{507}{4}} - 1888642 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 6610247 \, \sqrt{2} - 86730966\right)} \sqrt{4 \, \sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - \frac{21}{8} \, \sqrt{2} - \frac{507}{4}} - 7 \, \sqrt{2} - 6} + 606320225 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{4 \, \sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - \frac{21}{8} \, \sqrt{2} - \frac{507}{4}} - 7 \, \sqrt{2} - 6} \log\left(-\frac{1}{4} \, {\left({\left(421182 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 1474137 \, \sqrt{2} + 1389259\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - {\left(210591 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} - 10108368 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 35379288 \, \sqrt{2} - 31269425\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} + 125713 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + 8 \, {\left({\left(210591 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)} + 125713 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} - 125713 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)} + 2072791 \, \sqrt{2}\right)} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - \frac{21}{8} \, \sqrt{2} - \frac{507}{4}} - 1888642 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 6610247 \, \sqrt{2} - 86730966\right)} \sqrt{4 \, \sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - \frac{21}{8} \, \sqrt{2} - \frac{507}{4}} - 7 \, \sqrt{2} - 6} + 606320225 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - \frac{21}{8} \, \sqrt{2} - \frac{507}{4}} - \frac{7}{4} \, \sqrt{2} - \frac{3}{2}} \log\left(\frac{1}{2} \, {\left({\left(421182 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 1474137 \, \sqrt{2} + 1389259\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - {\left(210591 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} - 10108368 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 35379288 \, \sqrt{2} - 31269425\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} + 125713 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} - 8 \, {\left({\left(210591 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)} + 125713 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} - 125713 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)} + 2072791 \, \sqrt{2}\right)} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - \frac{21}{8} \, \sqrt{2} - \frac{507}{4}} - 1888642 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 6610247 \, \sqrt{2} - 86730966\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - \frac{21}{8} \, \sqrt{2} - \frac{507}{4}} - \frac{7}{4} \, \sqrt{2} - \frac{3}{2}} + 606320225 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - \frac{21}{8} \, \sqrt{2} - \frac{507}{4}} - \frac{7}{4} \, \sqrt{2} - \frac{3}{2}} \log\left(-\frac{1}{2} \, {\left({\left(421182 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 1474137 \, \sqrt{2} + 1389259\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - {\left(210591 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} - 10108368 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 35379288 \, \sqrt{2} - 31269425\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} + 125713 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} - 8 \, {\left({\left(210591 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)} + 125713 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} - 125713 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)} + 2072791 \, \sqrt{2}\right)} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - \frac{21}{8} \, \sqrt{2} - \frac{507}{4}} - 1888642 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 6610247 \, \sqrt{2} - 86730966\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - \frac{21}{8} \, \sqrt{2} - \frac{507}{4}} - \frac{7}{4} \, \sqrt{2} - \frac{3}{2}} + 606320225 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4} \log\left(\frac{1}{4} \, {\left(5 \, {\left(601962 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 1504905 \, \sqrt{2} - 2315542\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + 1504905 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{3} - {\left(1504905 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} + 48156960 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 120392400 \, \sqrt{2} - 309577162\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} + 24078480 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 15915875280 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 39789688200 \, \sqrt{2} + 63000481368\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4} + 18101760817 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4} \log\left(-\frac{1}{4} \, {\left(5 \, {\left(601962 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 1504905 \, \sqrt{2} - 2315542\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)}^{2} + 1504905 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{3} - {\left(1504905 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} + 48156960 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 120392400 \, \sqrt{2} - 309577162\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4\right)} + 24078480 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 15915875280 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 39789688200 \, \sqrt{2} + 63000481368\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 5 \, \sqrt{2} + 4} + 18101760817 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + \frac{5}{256} \, \sqrt{2} + \frac{1}{64}} \log\left(4 \, {\left(1504905 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{3} + 29636570 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 15489348796 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 38723371990 \, \sqrt{2} + 48665202704\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + \frac{5}{256} \, \sqrt{2} + \frac{1}{64}} + 18101760817 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + \frac{5}{256} \, \sqrt{2} + \frac{1}{64}} \log\left(-4 \, {\left(1504905 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{3} + 29636570 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} - 5 \, \sqrt{2} - 4\right)}^{2} - 15489348796 \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + 38723371990 \, \sqrt{2} + 48665202704\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{941 \, \sqrt{2} + 1321} + \frac{5}{256} \, \sqrt{2} + \frac{1}{64}} + 18101760817 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6} \log\left(\frac{1}{2} \, {\left({\left(421182 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 1474137 \, \sqrt{2} + 1389259\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} + 210591 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{3} - {\left(210591 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} - 10108368 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 35379288 \, \sqrt{2} - 31269425\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} - 5054184 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + 1799289504 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 6297513264 \, \sqrt{2} + 5950573476\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6} + 606320225 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6} \log\left(-\frac{1}{2} \, {\left({\left(421182 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 1474137 \, \sqrt{2} + 1389259\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)}^{2} + 210591 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{3} - {\left(210591 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} - 10108368 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 35379288 \, \sqrt{2} - 31269425\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6\right)} - 5054184 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + 1799289504 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 6297513264 \, \sqrt{2} + 5950573476\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + 7 \, \sqrt{2} - 6} + 606320225 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + \frac{7}{256} \, \sqrt{2} - \frac{3}{128}} \log\left(8 \, {\left(210591 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{3} - 5179897 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + 1801178146 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 6304123511 \, \sqrt{2} + 12273741042\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + \frac{7}{256} \, \sqrt{2} - \frac{3}{128}} + 606320225 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + \frac{7}{256} \, \sqrt{2} - \frac{3}{128}} \log\left(-8 \, {\left(210591 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{3} - 5179897 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 7 \, \sqrt{2} + 6\right)}^{2} + 1801178146 \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} - 6304123511 \, \sqrt{2} + 12273741042\right)} \sqrt{-\frac{1}{128} \, \sqrt{\frac{1}{2}} \sqrt{757 \, \sqrt{2} - 1063} + \frac{7}{256} \, \sqrt{2} - \frac{3}{128}} + 606320225 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 16 \, \sqrt{x + \sqrt{x^{2} + 1}} x \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{16 \, {\left(x^{2} - 1\right)}}"," ",0,"1/16*(sqrt(2)*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 673) - 5/2*sqrt(2) + 2)*log(1/8*(5*(300981*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4) - 1111618*sqrt(2))*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 - 5558090*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - (1504905*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 + 24078480*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4) - 213263242*sqrt(2))*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4) + 8*(5*(601962*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 1504905*sqrt(2) - 2315542)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4) + 11116180*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 27790450*sqrt(2) - 146566162)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 673) - 213263242*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4) - 5544442608*sqrt(2))*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 673) - 5/2*sqrt(2) + 2) + 18101760817*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(2)*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 673) - 5/2*sqrt(2) + 2)*log(-1/8*(5*(300981*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4) - 1111618*sqrt(2))*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 - 5558090*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - (1504905*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 + 24078480*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4) - 213263242*sqrt(2))*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4) + 8*(5*(601962*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 1504905*sqrt(2) - 2315542)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4) + 11116180*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 27790450*sqrt(2) - 146566162)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 673) - 213263242*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4) - 5544442608*sqrt(2))*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 673) - 5/2*sqrt(2) + 2) + 18101760817*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(2)*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 673) - 5/2*sqrt(2) + 2)*log(1/8*(5*(300981*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4) - 1111618*sqrt(2))*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 - 5558090*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - (1504905*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 + 24078480*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4) - 213263242*sqrt(2))*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4) - 8*(5*(601962*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 1504905*sqrt(2) - 2315542)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4) + 11116180*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 27790450*sqrt(2) - 146566162)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 673) - 213263242*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4) - 5544442608*sqrt(2))*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 673) - 5/2*sqrt(2) + 2) + 18101760817*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(2)*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 673) - 5/2*sqrt(2) + 2)*log(-1/8*(5*(300981*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4) - 1111618*sqrt(2))*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 - 5558090*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - (1504905*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 + 24078480*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4) - 213263242*sqrt(2))*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4) - 8*(5*(601962*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 1504905*sqrt(2) - 2315542)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4) + 11116180*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 27790450*sqrt(2) - 146566162)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 673) - 213263242*sqrt(2)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4) - 5544442608*sqrt(2))*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 673) - 5/2*sqrt(2) + 2) + 18101760817*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(4*sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 21/8*sqrt(2) - 507/4) - 7*sqrt(2) - 6)*log(1/4*((421182*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 1474137*sqrt(2) + 1389259)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - (210591*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 - 10108368*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 35379288*sqrt(2) - 31269425)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6) + 125713*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 8*((210591*sqrt(2)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6) + 125713*sqrt(2))*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6) - 125713*sqrt(2)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6) + 2072791*sqrt(2))*sqrt(-3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 21/8*sqrt(2) - 507/4) - 1888642*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 6610247*sqrt(2) - 86730966)*sqrt(4*sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 21/8*sqrt(2) - 507/4) - 7*sqrt(2) - 6) + 606320225*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(4*sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 21/8*sqrt(2) - 507/4) - 7*sqrt(2) - 6)*log(-1/4*((421182*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 1474137*sqrt(2) + 1389259)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - (210591*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 - 10108368*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 35379288*sqrt(2) - 31269425)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6) + 125713*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 8*((210591*sqrt(2)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6) + 125713*sqrt(2))*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6) - 125713*sqrt(2)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6) + 2072791*sqrt(2))*sqrt(-3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 21/8*sqrt(2) - 507/4) - 1888642*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 6610247*sqrt(2) - 86730966)*sqrt(4*sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 21/8*sqrt(2) - 507/4) - 7*sqrt(2) - 6) + 606320225*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 21/8*sqrt(2) - 507/4) - 7/4*sqrt(2) - 3/2)*log(1/2*((421182*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 1474137*sqrt(2) + 1389259)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - (210591*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 - 10108368*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 35379288*sqrt(2) - 31269425)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6) + 125713*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 - 8*((210591*sqrt(2)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6) + 125713*sqrt(2))*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6) - 125713*sqrt(2)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6) + 2072791*sqrt(2))*sqrt(-3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 21/8*sqrt(2) - 507/4) - 1888642*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 6610247*sqrt(2) - 86730966)*sqrt(-sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 21/8*sqrt(2) - 507/4) - 7/4*sqrt(2) - 3/2) + 606320225*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 21/8*sqrt(2) - 507/4) - 7/4*sqrt(2) - 3/2)*log(-1/2*((421182*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 1474137*sqrt(2) + 1389259)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - (210591*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 - 10108368*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 35379288*sqrt(2) - 31269425)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6) + 125713*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 - 8*((210591*sqrt(2)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6) + 125713*sqrt(2))*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6) - 125713*sqrt(2)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6) + 2072791*sqrt(2))*sqrt(-3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 21/8*sqrt(2) - 507/4) - 1888642*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 6610247*sqrt(2) - 86730966)*sqrt(-sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 21/8*sqrt(2) - 507/4) - 7/4*sqrt(2) - 3/2) + 606320225*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*log(1/4*(5*(601962*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 1504905*sqrt(2) - 2315542)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1504905*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^3 - (1504905*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 + 48156960*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 120392400*sqrt(2) - 309577162)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4) + 24078480*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 15915875280*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 39789688200*sqrt(2) + 63000481368)*sqrt(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4) + 18101760817*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)*log(-1/4*(5*(601962*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 1504905*sqrt(2) - 2315542)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4)^2 + 1504905*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^3 - (1504905*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 + 48156960*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 120392400*sqrt(2) - 309577162)*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4) + 24078480*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 15915875280*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 39789688200*sqrt(2) + 63000481368)*sqrt(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5*sqrt(2) + 4) + 18101760817*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 16*(x^2 - 1)*sqrt(-1/128*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5/256*sqrt(2) + 1/64)*log(4*(1504905*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^3 + 29636570*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 15489348796*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 38723371990*sqrt(2) + 48665202704)*sqrt(-1/128*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5/256*sqrt(2) + 1/64) + 18101760817*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 16*(x^2 - 1)*sqrt(-1/128*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5/256*sqrt(2) + 1/64)*log(-4*(1504905*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^3 + 29636570*(2*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) - 5*sqrt(2) - 4)^2 - 15489348796*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 38723371990*sqrt(2) + 48665202704)*sqrt(-1/128*sqrt(1/2)*sqrt(941*sqrt(2) + 1321) + 5/256*sqrt(2) + 1/64) + 18101760817*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*log(1/2*((421182*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 1474137*sqrt(2) + 1389259)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 + 210591*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^3 - (210591*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 - 10108368*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 35379288*sqrt(2) - 31269425)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6) - 5054184*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1799289504*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 6297513264*sqrt(2) + 5950573476)*sqrt(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6) + 606320225*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)*log(-1/2*((421182*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 1474137*sqrt(2) + 1389259)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6)^2 + 210591*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^3 - (210591*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 - 10108368*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 35379288*sqrt(2) - 31269425)*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6) - 5054184*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1799289504*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 6297513264*sqrt(2) + 5950573476)*sqrt(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7*sqrt(2) - 6) + 606320225*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 16*(x^2 - 1)*sqrt(-1/128*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7/256*sqrt(2) - 3/128)*log(8*(210591*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^3 - 5179897*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1801178146*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 6304123511*sqrt(2) + 12273741042)*sqrt(-1/128*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7/256*sqrt(2) - 3/128) + 606320225*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 16*(x^2 - 1)*sqrt(-1/128*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7/256*sqrt(2) - 3/128)*log(-8*(210591*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^3 - 5179897*(2*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 7*sqrt(2) + 6)^2 + 1801178146*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) - 6304123511*sqrt(2) + 12273741042)*sqrt(-1/128*sqrt(1/2)*sqrt(757*sqrt(2) - 1063) + 7/256*sqrt(2) - 3/128) + 606320225*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 16*sqrt(x + sqrt(x^2 + 1))*x*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 - 1)","B",0
2907,-1,0,0,0.000000," ","integrate(x^3*(-b+x)*(2*a*b-3*a*x+x^2)/(x^2*(-a+x)*(-b+x))^(1/3)/(-a^4+4*a^3*x-6*a^2*x^2+4*a*x^3+(b^2*d-1)*x^4-2*b*d*x^5+d*x^6),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2908,-2,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(x^6-1)/x^6/(2*x^6-2*x^3-1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
2909,1,467,0,0.602228," ","integrate((x^4+1)/(x^4-1)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{2}{3} \, {\left(x^{2} - \sqrt{x^{2} + 1} x - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}} + 2 \, \sqrt{2} \arctan\left(\sqrt{2} \sqrt{\sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + x + \sqrt{x^{2} + 1} + 1} - \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} - 1\right) + 2 \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, x + 4 \, \sqrt{x^{2} + 1} + 4} - \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + 1\right) - 2 \, \sqrt{\sqrt{2} + 1} \arctan\left(\sqrt{x + \sqrt{2} + \sqrt{x^{2} + 1} - 1} \sqrt{\sqrt{2} + 1} - \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{2} + 1}\right) + 2 \, \sqrt{\sqrt{2} - 1} \arctan\left(\sqrt{x + \sqrt{2} + \sqrt{x^{2} + 1} + 1} \sqrt{\sqrt{2} - 1} - \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{2} - 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} - 1} \log\left({\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + \sqrt{x + \sqrt{x^{2} + 1}}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} \log\left(-{\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + \sqrt{x + \sqrt{x^{2} + 1}}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} + 1} \log\left(\sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} + \sqrt{x + \sqrt{x^{2} + 1}}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} \log\left(-\sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} + \sqrt{x + \sqrt{x^{2} + 1}}\right) - \frac{1}{2} \, \sqrt{2} \log\left(4 \, \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, x + 4 \, \sqrt{x^{2} + 1} + 4\right) + \frac{1}{2} \, \sqrt{2} \log\left(-4 \, \sqrt{2} \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, x + 4 \, \sqrt{x^{2} + 1} + 4\right)"," ",0,"-2/3*(x^2 - sqrt(x^2 + 1)*x - 1)*sqrt(x + sqrt(x^2 + 1)) + 2*sqrt(2)*arctan(sqrt(2)*sqrt(sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + x + sqrt(x^2 + 1) + 1) - sqrt(2)*sqrt(x + sqrt(x^2 + 1)) - 1) + 2*sqrt(2)*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + 4*x + 4*sqrt(x^2 + 1) + 4) - sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + 1) - 2*sqrt(sqrt(2) + 1)*arctan(sqrt(x + sqrt(2) + sqrt(x^2 + 1) - 1)*sqrt(sqrt(2) + 1) - sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(2) + 1)) + 2*sqrt(sqrt(2) - 1)*arctan(sqrt(x + sqrt(2) + sqrt(x^2 + 1) + 1)*sqrt(sqrt(2) - 1) - sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(2) - 1)) - 1/2*sqrt(sqrt(2) - 1)*log((sqrt(2) + 1)*sqrt(sqrt(2) - 1) + sqrt(x + sqrt(x^2 + 1))) + 1/2*sqrt(sqrt(2) - 1)*log(-(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + sqrt(x + sqrt(x^2 + 1))) + 1/2*sqrt(sqrt(2) + 1)*log(sqrt(sqrt(2) + 1)*(sqrt(2) - 1) + sqrt(x + sqrt(x^2 + 1))) - 1/2*sqrt(sqrt(2) + 1)*log(-sqrt(sqrt(2) + 1)*(sqrt(2) - 1) + sqrt(x + sqrt(x^2 + 1))) - 1/2*sqrt(2)*log(4*sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + 4*x + 4*sqrt(x^2 + 1) + 4) + 1/2*sqrt(2)*log(-4*sqrt(2)*sqrt(x + sqrt(x^2 + 1)) + 4*x + 4*sqrt(x^2 + 1) + 4)","A",0
2910,1,8527,0,35.010545," ","integrate((2*a*x+b)*(a*x^4+b*x^3)^(1/4)/(a*x+x^2-b),x, algorithm=""fricas"")","2 \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} {\left({\left(8 \, a^{16} + 124 \, a^{14} b + 710 \, a^{12} b^{2} + 1717 \, a^{10} b^{3} + 1100 \, a^{8} b^{4} - 1358 \, a^{6} b^{5} - 424 \, a^{4} b^{6} + 1120 \, a^{2} b^{7} + 128 \, b^{8}\right)} x \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} - {\left(128 \, a^{25} + 1600 \, a^{23} b + 6752 \, a^{21} b^{2} + 8720 \, a^{19} b^{3} - 7928 \, a^{17} b^{4} - 14692 \, a^{15} b^{5} + 12226 \, a^{13} b^{6} - 1093 \, a^{11} b^{7} - 9155 \, a^{9} b^{8} + 9513 \, a^{7} b^{9} - 4386 \, a^{5} b^{10} + 1344 \, a^{3} b^{11} + 96 \, a b^{12}\right)} x\right)} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} \sqrt{-\frac{\sqrt{2} {\left({\left(64 \, a^{23} + 1024 \, a^{21} b + 6192 \, a^{19} b^{2} + 16592 \, a^{17} b^{3} + 14348 \, a^{15} b^{4} - 13512 \, a^{13} b^{5} - 18051 \, a^{11} b^{6} + 11013 \, a^{9} b^{7} + 3423 \, a^{7} b^{8} - 8428 \, a^{5} b^{9} + 2768 \, a^{3} b^{10} + 192 \, a b^{11}\right)} x^{2} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} - {\left(1024 \, a^{32} + 13312 \, a^{30} b + 60672 \, a^{28} b^{2} + 96256 \, a^{26} b^{3} - 43136 \, a^{24} b^{4} - 176256 \, a^{22} b^{5} + 90912 \, a^{20} b^{6} + 115008 \, a^{18} b^{7} - 178476 \, a^{16} b^{8} + 42164 \, a^{14} b^{9} + 67697 \, a^{12} b^{10} - 69972 \, a^{10} b^{11} + 34035 \, a^{8} b^{12} - 7620 \, a^{6} b^{13} + 1017 \, a^{4} b^{14} + 230 \, a^{2} b^{15} + 8 \, b^{16}\right)} x^{2}\right)} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} - 4 \, {\left(9216 \, a^{28} b^{4} + 52224 \, a^{26} b^{5} + 37120 \, a^{24} b^{6} - 136704 \, a^{22} b^{7} - 10368 \, a^{20} b^{8} + 166016 \, a^{18} b^{9} - 125280 \, a^{16} b^{10} - 24960 \, a^{14} b^{11} + 91316 \, a^{12} b^{12} - 59988 \, a^{10} b^{13} + 18933 \, a^{8} b^{14} - 1754 \, a^{6} b^{15} - 165 \, a^{4} b^{16} + 18 \, a^{2} b^{17} + b^{18}\right)} \sqrt{a x^{4} + b x^{3}}}{x^{2}}} + 2 \, \sqrt{2} {\left(12288 \, a^{39} b^{2} + 188416 \, a^{37} b^{3} + 1058816 \, a^{35} b^{4} + 2344960 \, a^{33} b^{5} + 75008 \, a^{31} b^{6} - 6023168 \, a^{29} b^{7} - 1408000 \, a^{27} b^{8} + 8562944 \, a^{25} b^{9} - 3888944 \, a^{23} b^{10} - 5739808 \, a^{21} b^{11} + 8664328 \, a^{19} b^{12} - 3247768 \, a^{17} b^{13} - 2257157 \, a^{15} b^{14} + 3821356 \, a^{13} b^{15} - 2506591 \, a^{11} b^{16} + 908932 \, a^{9} b^{17} - 173193 \, a^{7} b^{18} - 4098 \, a^{5} b^{19} + 2208 \, a^{3} b^{20} + 96 \, a b^{21} - {\left(768 \, a^{30} b^{2} + 14080 \, a^{28} b^{3} + 100352 \, a^{26} b^{4} + 332800 \, a^{24} b^{5} + 417312 \, a^{22} b^{6} - 252576 \, a^{20} b^{7} - 761616 \, a^{18} b^{8} + 376832 \, a^{16} b^{9} + 674803 \, a^{14} b^{10} - 540469 \, a^{12} b^{11} - 131605 \, a^{10} b^{12} + 277126 \, a^{8} b^{13} - 113494 \, a^{6} b^{14} - 6088 \, a^{4} b^{15} + 2272 \, a^{2} b^{16} + 128 \, b^{17}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}\right)} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}}}{16 \, {\left(663552 \, a^{34} b^{8} + 3207168 \, a^{32} b^{9} - 331776 \, a^{30} b^{10} - 11347968 \, a^{28} b^{11} + 7923200 \, a^{26} b^{12} + 10624256 \, a^{24} b^{13} - 18989568 \, a^{22} b^{14} + 8054272 \, a^{20} b^{15} + 6152416 \, a^{18} b^{16} - 10022256 \, a^{16} b^{17} + 6265840 \, a^{14} b^{18} - 2193416 \, a^{12} b^{19} + 418410 \, a^{10} b^{20} - 32293 \, a^{8} b^{21} - 1564 \, a^{6} b^{22} + 357 \, a^{4} b^{23} - 4 \, a^{2} b^{24} - b^{25}\right)} x}\right) - 2 \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \arctan\left(-\frac{{\left({\left(8 \, a^{16} + 124 \, a^{14} b + 710 \, a^{12} b^{2} + 1717 \, a^{10} b^{3} + 1100 \, a^{8} b^{4} - 1358 \, a^{6} b^{5} - 424 \, a^{4} b^{6} + 1120 \, a^{2} b^{7} + 128 \, b^{8}\right)} x \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} + {\left(128 \, a^{25} + 1600 \, a^{23} b + 6752 \, a^{21} b^{2} + 8720 \, a^{19} b^{3} - 7928 \, a^{17} b^{4} - 14692 \, a^{15} b^{5} + 12226 \, a^{13} b^{6} - 1093 \, a^{11} b^{7} - 9155 \, a^{9} b^{8} + 9513 \, a^{7} b^{9} - 4386 \, a^{5} b^{10} + 1344 \, a^{3} b^{11} + 96 \, a b^{12}\right)} x\right)} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} \sqrt{\frac{\sqrt{2} {\left({\left(64 \, a^{23} + 1024 \, a^{21} b + 6192 \, a^{19} b^{2} + 16592 \, a^{17} b^{3} + 14348 \, a^{15} b^{4} - 13512 \, a^{13} b^{5} - 18051 \, a^{11} b^{6} + 11013 \, a^{9} b^{7} + 3423 \, a^{7} b^{8} - 8428 \, a^{5} b^{9} + 2768 \, a^{3} b^{10} + 192 \, a b^{11}\right)} x^{2} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} + {\left(1024 \, a^{32} + 13312 \, a^{30} b + 60672 \, a^{28} b^{2} + 96256 \, a^{26} b^{3} - 43136 \, a^{24} b^{4} - 176256 \, a^{22} b^{5} + 90912 \, a^{20} b^{6} + 115008 \, a^{18} b^{7} - 178476 \, a^{16} b^{8} + 42164 \, a^{14} b^{9} + 67697 \, a^{12} b^{10} - 69972 \, a^{10} b^{11} + 34035 \, a^{8} b^{12} - 7620 \, a^{6} b^{13} + 1017 \, a^{4} b^{14} + 230 \, a^{2} b^{15} + 8 \, b^{16}\right)} x^{2}\right)} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} + 4 \, {\left(9216 \, a^{28} b^{4} + 52224 \, a^{26} b^{5} + 37120 \, a^{24} b^{6} - 136704 \, a^{22} b^{7} - 10368 \, a^{20} b^{8} + 166016 \, a^{18} b^{9} - 125280 \, a^{16} b^{10} - 24960 \, a^{14} b^{11} + 91316 \, a^{12} b^{12} - 59988 \, a^{10} b^{13} + 18933 \, a^{8} b^{14} - 1754 \, a^{6} b^{15} - 165 \, a^{4} b^{16} + 18 \, a^{2} b^{17} + b^{18}\right)} \sqrt{a x^{4} + b x^{3}}}{x^{2}}} - 2 \, {\left(12288 \, a^{39} b^{2} + 188416 \, a^{37} b^{3} + 1058816 \, a^{35} b^{4} + 2344960 \, a^{33} b^{5} + 75008 \, a^{31} b^{6} - 6023168 \, a^{29} b^{7} - 1408000 \, a^{27} b^{8} + 8562944 \, a^{25} b^{9} - 3888944 \, a^{23} b^{10} - 5739808 \, a^{21} b^{11} + 8664328 \, a^{19} b^{12} - 3247768 \, a^{17} b^{13} - 2257157 \, a^{15} b^{14} + 3821356 \, a^{13} b^{15} - 2506591 \, a^{11} b^{16} + 908932 \, a^{9} b^{17} - 173193 \, a^{7} b^{18} - 4098 \, a^{5} b^{19} + 2208 \, a^{3} b^{20} + 96 \, a b^{21} + {\left(768 \, a^{30} b^{2} + 14080 \, a^{28} b^{3} + 100352 \, a^{26} b^{4} + 332800 \, a^{24} b^{5} + 417312 \, a^{22} b^{6} - 252576 \, a^{20} b^{7} - 761616 \, a^{18} b^{8} + 376832 \, a^{16} b^{9} + 674803 \, a^{14} b^{10} - 540469 \, a^{12} b^{11} - 131605 \, a^{10} b^{12} + 277126 \, a^{8} b^{13} - 113494 \, a^{6} b^{14} - 6088 \, a^{4} b^{15} + 2272 \, a^{2} b^{16} + 128 \, b^{17}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}}{8 \, {\left(663552 \, a^{34} b^{8} + 3207168 \, a^{32} b^{9} - 331776 \, a^{30} b^{10} - 11347968 \, a^{28} b^{11} + 7923200 \, a^{26} b^{12} + 10624256 \, a^{24} b^{13} - 18989568 \, a^{22} b^{14} + 8054272 \, a^{20} b^{15} + 6152416 \, a^{18} b^{16} - 10022256 \, a^{16} b^{17} + 6265840 \, a^{14} b^{18} - 2193416 \, a^{12} b^{19} + 418410 \, a^{10} b^{20} - 32293 \, a^{8} b^{21} - 1564 \, a^{6} b^{22} + 357 \, a^{4} b^{23} - 4 \, a^{2} b^{24} - b^{25}\right)} x}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(\frac{\sqrt{2} {\left({\left(2 \, a^{7} + 19 \, a^{5} b + 56 \, a^{3} b^{2} + 48 \, a b^{3}\right)} x \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} - {\left(32 \, a^{16} + 208 \, a^{14} b + 224 \, a^{12} b^{2} - 424 \, a^{10} b^{3} - 62 \, a^{8} b^{4} + 329 \, a^{6} b^{5} - 239 \, a^{4} b^{6} + 53 \, a^{2} b^{7} + 4 \, b^{8}\right)} x\right)} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} + 4 \, {\left(96 \, a^{14} b^{2} + 272 \, a^{12} b^{3} - 192 \, a^{10} b^{4} - 168 \, a^{8} b^{5} + 230 \, a^{6} b^{6} - 123 \, a^{4} b^{7} + 9 \, a^{2} b^{8} + b^{9}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(-\frac{\sqrt{2} {\left({\left(2 \, a^{7} + 19 \, a^{5} b + 56 \, a^{3} b^{2} + 48 \, a b^{3}\right)} x \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} - {\left(32 \, a^{16} + 208 \, a^{14} b + 224 \, a^{12} b^{2} - 424 \, a^{10} b^{3} - 62 \, a^{8} b^{4} + 329 \, a^{6} b^{5} - 239 \, a^{4} b^{6} + 53 \, a^{2} b^{7} + 4 \, b^{8}\right)} x\right)} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} - 4 \, {\left(96 \, a^{14} b^{2} + 272 \, a^{12} b^{3} - 192 \, a^{10} b^{4} - 168 \, a^{8} b^{5} + 230 \, a^{6} b^{6} - 123 \, a^{4} b^{7} + 9 \, a^{2} b^{8} + b^{9}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(\frac{\sqrt{2} {\left({\left(2 \, a^{7} + 19 \, a^{5} b + 56 \, a^{3} b^{2} + 48 \, a b^{3}\right)} x \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} + {\left(32 \, a^{16} + 208 \, a^{14} b + 224 \, a^{12} b^{2} - 424 \, a^{10} b^{3} - 62 \, a^{8} b^{4} + 329 \, a^{6} b^{5} - 239 \, a^{4} b^{6} + 53 \, a^{2} b^{7} + 4 \, b^{8}\right)} x\right)} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} + 4 \, {\left(96 \, a^{14} b^{2} + 272 \, a^{12} b^{3} - 192 \, a^{10} b^{4} - 168 \, a^{8} b^{5} + 230 \, a^{6} b^{6} - 123 \, a^{4} b^{7} + 9 \, a^{2} b^{8} + b^{9}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(-\frac{\sqrt{2} {\left({\left(2 \, a^{7} + 19 \, a^{5} b + 56 \, a^{3} b^{2} + 48 \, a b^{3}\right)} x \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} + {\left(32 \, a^{16} + 208 \, a^{14} b + 224 \, a^{12} b^{2} - 424 \, a^{10} b^{3} - 62 \, a^{8} b^{4} + 329 \, a^{6} b^{5} - 239 \, a^{4} b^{6} + 53 \, a^{2} b^{7} + 4 \, b^{8}\right)} x\right)} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} - 4 \, {\left(96 \, a^{14} b^{2} + 272 \, a^{12} b^{3} - 192 \, a^{10} b^{4} - 168 \, a^{8} b^{5} + 230 \, a^{6} b^{6} - 123 \, a^{4} b^{7} + 9 \, a^{2} b^{8} + b^{9}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 2 \, {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} a - 2 \, {\left(256 \, a^{9} - 768 \, a^{7} b + 864 \, a^{5} b^{2} - 432 \, a^{3} b^{3} + 81 \, a b^{4}\right)}^{\frac{1}{4}} \arctan\left(\frac{{\left(256 \, a^{9} - 768 \, a^{7} b + 864 \, a^{5} b^{2} - 432 \, a^{3} b^{3} + 81 \, a b^{4}\right)}^{\frac{3}{4}} x \sqrt{\frac{\sqrt{256 \, a^{9} - 768 \, a^{7} b + 864 \, a^{5} b^{2} - 432 \, a^{3} b^{3} + 81 \, a b^{4}} x^{2} + \sqrt{a x^{4} + b x^{3}} {\left(16 \, a^{4} - 24 \, a^{2} b + 9 \, b^{2}\right)}}{x^{2}}} + {\left(256 \, a^{9} - 768 \, a^{7} b + 864 \, a^{5} b^{2} - 432 \, a^{3} b^{3} + 81 \, a b^{4}\right)}^{\frac{3}{4}} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(4 \, a^{2} - 3 \, b\right)}}{{\left(256 \, a^{9} - 768 \, a^{7} b + 864 \, a^{5} b^{2} - 432 \, a^{3} b^{3} + 81 \, a b^{4}\right)} x}\right) - \frac{1}{2} \, {\left(256 \, a^{9} - 768 \, a^{7} b + 864 \, a^{5} b^{2} - 432 \, a^{3} b^{3} + 81 \, a b^{4}\right)}^{\frac{1}{4}} \log\left(-\frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(4 \, a^{2} - 3 \, b\right)} + {\left(256 \, a^{9} - 768 \, a^{7} b + 864 \, a^{5} b^{2} - 432 \, a^{3} b^{3} + 81 \, a b^{4}\right)}^{\frac{1}{4}} x}{x}\right) + \frac{1}{2} \, {\left(256 \, a^{9} - 768 \, a^{7} b + 864 \, a^{5} b^{2} - 432 \, a^{3} b^{3} + 81 \, a b^{4}\right)}^{\frac{1}{4}} \log\left(-\frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(4 \, a^{2} - 3 \, b\right)} - {\left(256 \, a^{9} - 768 \, a^{7} b + 864 \, a^{5} b^{2} - 432 \, a^{3} b^{3} + 81 \, a b^{4}\right)}^{\frac{1}{4}} x}{x}\right)"," ",0,"2*sqrt(2)*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*arctan(-1/16*sqrt(2)*(sqrt(2)*((8*a^16 + 124*a^14*b + 710*a^12*b^2 + 1717*a^10*b^3 + 1100*a^8*b^4 - 1358*a^6*b^5 - 424*a^4*b^6 + 1120*a^2*b^7 + 128*b^8)*x*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) - (128*a^25 + 1600*a^23*b + 6752*a^21*b^2 + 8720*a^19*b^3 - 7928*a^17*b^4 - 14692*a^15*b^5 + 12226*a^13*b^6 - 1093*a^11*b^7 - 9155*a^9*b^8 + 9513*a^7*b^9 - 4386*a^5*b^10 + 1344*a^3*b^11 + 96*a*b^12)*x)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))*sqrt(-(sqrt(2)*((64*a^23 + 1024*a^21*b + 6192*a^19*b^2 + 16592*a^17*b^3 + 14348*a^15*b^4 - 13512*a^13*b^5 - 18051*a^11*b^6 + 11013*a^9*b^7 + 3423*a^7*b^8 - 8428*a^5*b^9 + 2768*a^3*b^10 + 192*a*b^11)*x^2*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) - (1024*a^32 + 13312*a^30*b + 60672*a^28*b^2 + 96256*a^26*b^3 - 43136*a^24*b^4 - 176256*a^22*b^5 + 90912*a^20*b^6 + 115008*a^18*b^7 - 178476*a^16*b^8 + 42164*a^14*b^9 + 67697*a^12*b^10 - 69972*a^10*b^11 + 34035*a^8*b^12 - 7620*a^6*b^13 + 1017*a^4*b^14 + 230*a^2*b^15 + 8*b^16)*x^2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)) - 4*(9216*a^28*b^4 + 52224*a^26*b^5 + 37120*a^24*b^6 - 136704*a^22*b^7 - 10368*a^20*b^8 + 166016*a^18*b^9 - 125280*a^16*b^10 - 24960*a^14*b^11 + 91316*a^12*b^12 - 59988*a^10*b^13 + 18933*a^8*b^14 - 1754*a^6*b^15 - 165*a^4*b^16 + 18*a^2*b^17 + b^18)*sqrt(a*x^4 + b*x^3))/x^2) + 2*sqrt(2)*(12288*a^39*b^2 + 188416*a^37*b^3 + 1058816*a^35*b^4 + 2344960*a^33*b^5 + 75008*a^31*b^6 - 6023168*a^29*b^7 - 1408000*a^27*b^8 + 8562944*a^25*b^9 - 3888944*a^23*b^10 - 5739808*a^21*b^11 + 8664328*a^19*b^12 - 3247768*a^17*b^13 - 2257157*a^15*b^14 + 3821356*a^13*b^15 - 2506591*a^11*b^16 + 908932*a^9*b^17 - 173193*a^7*b^18 - 4098*a^5*b^19 + 2208*a^3*b^20 + 96*a*b^21 - (768*a^30*b^2 + 14080*a^28*b^3 + 100352*a^26*b^4 + 332800*a^24*b^5 + 417312*a^22*b^6 - 252576*a^20*b^7 - 761616*a^18*b^8 + 376832*a^16*b^9 + 674803*a^14*b^10 - 540469*a^12*b^11 - 131605*a^10*b^12 + 277126*a^8*b^13 - 113494*a^6*b^14 - 6088*a^4*b^15 + 2272*a^2*b^16 + 128*b^17)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))*(a*x^4 + b*x^3)^(1/4)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))/((663552*a^34*b^8 + 3207168*a^32*b^9 - 331776*a^30*b^10 - 11347968*a^28*b^11 + 7923200*a^26*b^12 + 10624256*a^24*b^13 - 18989568*a^22*b^14 + 8054272*a^20*b^15 + 6152416*a^18*b^16 - 10022256*a^16*b^17 + 6265840*a^14*b^18 - 2193416*a^12*b^19 + 418410*a^10*b^20 - 32293*a^8*b^21 - 1564*a^6*b^22 + 357*a^4*b^23 - 4*a^2*b^24 - b^25)*x)) - 2*sqrt(2)*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*arctan(-1/8*(((8*a^16 + 124*a^14*b + 710*a^12*b^2 + 1717*a^10*b^3 + 1100*a^8*b^4 - 1358*a^6*b^5 - 424*a^4*b^6 + 1120*a^2*b^7 + 128*b^8)*x*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) + (128*a^25 + 1600*a^23*b + 6752*a^21*b^2 + 8720*a^19*b^3 - 7928*a^17*b^4 - 14692*a^15*b^5 + 12226*a^13*b^6 - 1093*a^11*b^7 - 9155*a^9*b^8 + 9513*a^7*b^9 - 4386*a^5*b^10 + 1344*a^3*b^11 + 96*a*b^12)*x)*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))*sqrt((sqrt(2)*((64*a^23 + 1024*a^21*b + 6192*a^19*b^2 + 16592*a^17*b^3 + 14348*a^15*b^4 - 13512*a^13*b^5 - 18051*a^11*b^6 + 11013*a^9*b^7 + 3423*a^7*b^8 - 8428*a^5*b^9 + 2768*a^3*b^10 + 192*a*b^11)*x^2*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) + (1024*a^32 + 13312*a^30*b + 60672*a^28*b^2 + 96256*a^26*b^3 - 43136*a^24*b^4 - 176256*a^22*b^5 + 90912*a^20*b^6 + 115008*a^18*b^7 - 178476*a^16*b^8 + 42164*a^14*b^9 + 67697*a^12*b^10 - 69972*a^10*b^11 + 34035*a^8*b^12 - 7620*a^6*b^13 + 1017*a^4*b^14 + 230*a^2*b^15 + 8*b^16)*x^2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)) + 4*(9216*a^28*b^4 + 52224*a^26*b^5 + 37120*a^24*b^6 - 136704*a^22*b^7 - 10368*a^20*b^8 + 166016*a^18*b^9 - 125280*a^16*b^10 - 24960*a^14*b^11 + 91316*a^12*b^12 - 59988*a^10*b^13 + 18933*a^8*b^14 - 1754*a^6*b^15 - 165*a^4*b^16 + 18*a^2*b^17 + b^18)*sqrt(a*x^4 + b*x^3))/x^2) - 2*(12288*a^39*b^2 + 188416*a^37*b^3 + 1058816*a^35*b^4 + 2344960*a^33*b^5 + 75008*a^31*b^6 - 6023168*a^29*b^7 - 1408000*a^27*b^8 + 8562944*a^25*b^9 - 3888944*a^23*b^10 - 5739808*a^21*b^11 + 8664328*a^19*b^12 - 3247768*a^17*b^13 - 2257157*a^15*b^14 + 3821356*a^13*b^15 - 2506591*a^11*b^16 + 908932*a^9*b^17 - 173193*a^7*b^18 - 4098*a^5*b^19 + 2208*a^3*b^20 + 96*a*b^21 + (768*a^30*b^2 + 14080*a^28*b^3 + 100352*a^26*b^4 + 332800*a^24*b^5 + 417312*a^22*b^6 - 252576*a^20*b^7 - 761616*a^18*b^8 + 376832*a^16*b^9 + 674803*a^14*b^10 - 540469*a^12*b^11 - 131605*a^10*b^12 + 277126*a^8*b^13 - 113494*a^6*b^14 - 6088*a^4*b^15 + 2272*a^2*b^16 + 128*b^17)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))*(a*x^4 + b*x^3)^(1/4)*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))/((663552*a^34*b^8 + 3207168*a^32*b^9 - 331776*a^30*b^10 - 11347968*a^28*b^11 + 7923200*a^26*b^12 + 10624256*a^24*b^13 - 18989568*a^22*b^14 + 8054272*a^20*b^15 + 6152416*a^18*b^16 - 10022256*a^16*b^17 + 6265840*a^14*b^18 - 2193416*a^12*b^19 + 418410*a^10*b^20 - 32293*a^8*b^21 - 1564*a^6*b^22 + 357*a^4*b^23 - 4*a^2*b^24 - b^25)*x)) + 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*log((sqrt(2)*((2*a^7 + 19*a^5*b + 56*a^3*b^2 + 48*a*b^3)*x*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) - (32*a^16 + 208*a^14*b + 224*a^12*b^2 - 424*a^10*b^3 - 62*a^8*b^4 + 329*a^6*b^5 - 239*a^4*b^6 + 53*a^2*b^7 + 4*b^8)*x)*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))) + 4*(96*a^14*b^2 + 272*a^12*b^3 - 192*a^10*b^4 - 168*a^8*b^5 + 230*a^6*b^6 - 123*a^4*b^7 + 9*a^2*b^8 + b^9)*(a*x^4 + b*x^3)^(1/4))/x) - 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*log(-(sqrt(2)*((2*a^7 + 19*a^5*b + 56*a^3*b^2 + 48*a*b^3)*x*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) - (32*a^16 + 208*a^14*b + 224*a^12*b^2 - 424*a^10*b^3 - 62*a^8*b^4 + 329*a^6*b^5 - 239*a^4*b^6 + 53*a^2*b^7 + 4*b^8)*x)*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))) - 4*(96*a^14*b^2 + 272*a^12*b^3 - 192*a^10*b^4 - 168*a^8*b^5 + 230*a^6*b^6 - 123*a^4*b^7 + 9*a^2*b^8 + b^9)*(a*x^4 + b*x^3)^(1/4))/x) - 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*log((sqrt(2)*((2*a^7 + 19*a^5*b + 56*a^3*b^2 + 48*a*b^3)*x*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) + (32*a^16 + 208*a^14*b + 224*a^12*b^2 - 424*a^10*b^3 - 62*a^8*b^4 + 329*a^6*b^5 - 239*a^4*b^6 + 53*a^2*b^7 + 4*b^8)*x)*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))) + 4*(96*a^14*b^2 + 272*a^12*b^3 - 192*a^10*b^4 - 168*a^8*b^5 + 230*a^6*b^6 - 123*a^4*b^7 + 9*a^2*b^8 + b^9)*(a*x^4 + b*x^3)^(1/4))/x) + 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*log(-(sqrt(2)*((2*a^7 + 19*a^5*b + 56*a^3*b^2 + 48*a*b^3)*x*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) + (32*a^16 + 208*a^14*b + 224*a^12*b^2 - 424*a^10*b^3 - 62*a^8*b^4 + 329*a^6*b^5 - 239*a^4*b^6 + 53*a^2*b^7 + 4*b^8)*x)*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))) - 4*(96*a^14*b^2 + 272*a^12*b^3 - 192*a^10*b^4 - 168*a^8*b^5 + 230*a^6*b^6 - 123*a^4*b^7 + 9*a^2*b^8 + b^9)*(a*x^4 + b*x^3)^(1/4))/x) + 2*(a*x^4 + b*x^3)^(1/4)*a - 2*(256*a^9 - 768*a^7*b + 864*a^5*b^2 - 432*a^3*b^3 + 81*a*b^4)^(1/4)*arctan(((256*a^9 - 768*a^7*b + 864*a^5*b^2 - 432*a^3*b^3 + 81*a*b^4)^(3/4)*x*sqrt((sqrt(256*a^9 - 768*a^7*b + 864*a^5*b^2 - 432*a^3*b^3 + 81*a*b^4)*x^2 + sqrt(a*x^4 + b*x^3)*(16*a^4 - 24*a^2*b + 9*b^2))/x^2) + (256*a^9 - 768*a^7*b + 864*a^5*b^2 - 432*a^3*b^3 + 81*a*b^4)^(3/4)*(a*x^4 + b*x^3)^(1/4)*(4*a^2 - 3*b))/((256*a^9 - 768*a^7*b + 864*a^5*b^2 - 432*a^3*b^3 + 81*a*b^4)*x)) - 1/2*(256*a^9 - 768*a^7*b + 864*a^5*b^2 - 432*a^3*b^3 + 81*a*b^4)^(1/4)*log(-((a*x^4 + b*x^3)^(1/4)*(4*a^2 - 3*b) + (256*a^9 - 768*a^7*b + 864*a^5*b^2 - 432*a^3*b^3 + 81*a*b^4)^(1/4)*x)/x) + 1/2*(256*a^9 - 768*a^7*b + 864*a^5*b^2 - 432*a^3*b^3 + 81*a*b^4)^(1/4)*log(-((a*x^4 + b*x^3)^(1/4)*(4*a^2 - 3*b) - (256*a^9 - 768*a^7*b + 864*a^5*b^2 - 432*a^3*b^3 + 81*a*b^4)^(1/4)*x)/x)","B",0
2911,1,8527,0,34.468682," ","integrate((2*a*x+b)*(a*x^4+b*x^3)^(1/4)/(a*x+x^2-b),x, algorithm=""fricas"")","2 \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} {\left({\left(8 \, a^{16} + 124 \, a^{14} b + 710 \, a^{12} b^{2} + 1717 \, a^{10} b^{3} + 1100 \, a^{8} b^{4} - 1358 \, a^{6} b^{5} - 424 \, a^{4} b^{6} + 1120 \, a^{2} b^{7} + 128 \, b^{8}\right)} x \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} - {\left(128 \, a^{25} + 1600 \, a^{23} b + 6752 \, a^{21} b^{2} + 8720 \, a^{19} b^{3} - 7928 \, a^{17} b^{4} - 14692 \, a^{15} b^{5} + 12226 \, a^{13} b^{6} - 1093 \, a^{11} b^{7} - 9155 \, a^{9} b^{8} + 9513 \, a^{7} b^{9} - 4386 \, a^{5} b^{10} + 1344 \, a^{3} b^{11} + 96 \, a b^{12}\right)} x\right)} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} \sqrt{-\frac{\sqrt{2} {\left({\left(64 \, a^{23} + 1024 \, a^{21} b + 6192 \, a^{19} b^{2} + 16592 \, a^{17} b^{3} + 14348 \, a^{15} b^{4} - 13512 \, a^{13} b^{5} - 18051 \, a^{11} b^{6} + 11013 \, a^{9} b^{7} + 3423 \, a^{7} b^{8} - 8428 \, a^{5} b^{9} + 2768 \, a^{3} b^{10} + 192 \, a b^{11}\right)} x^{2} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} - {\left(1024 \, a^{32} + 13312 \, a^{30} b + 60672 \, a^{28} b^{2} + 96256 \, a^{26} b^{3} - 43136 \, a^{24} b^{4} - 176256 \, a^{22} b^{5} + 90912 \, a^{20} b^{6} + 115008 \, a^{18} b^{7} - 178476 \, a^{16} b^{8} + 42164 \, a^{14} b^{9} + 67697 \, a^{12} b^{10} - 69972 \, a^{10} b^{11} + 34035 \, a^{8} b^{12} - 7620 \, a^{6} b^{13} + 1017 \, a^{4} b^{14} + 230 \, a^{2} b^{15} + 8 \, b^{16}\right)} x^{2}\right)} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} - 4 \, {\left(9216 \, a^{28} b^{4} + 52224 \, a^{26} b^{5} + 37120 \, a^{24} b^{6} - 136704 \, a^{22} b^{7} - 10368 \, a^{20} b^{8} + 166016 \, a^{18} b^{9} - 125280 \, a^{16} b^{10} - 24960 \, a^{14} b^{11} + 91316 \, a^{12} b^{12} - 59988 \, a^{10} b^{13} + 18933 \, a^{8} b^{14} - 1754 \, a^{6} b^{15} - 165 \, a^{4} b^{16} + 18 \, a^{2} b^{17} + b^{18}\right)} \sqrt{a x^{4} + b x^{3}}}{x^{2}}} + 2 \, \sqrt{2} {\left(12288 \, a^{39} b^{2} + 188416 \, a^{37} b^{3} + 1058816 \, a^{35} b^{4} + 2344960 \, a^{33} b^{5} + 75008 \, a^{31} b^{6} - 6023168 \, a^{29} b^{7} - 1408000 \, a^{27} b^{8} + 8562944 \, a^{25} b^{9} - 3888944 \, a^{23} b^{10} - 5739808 \, a^{21} b^{11} + 8664328 \, a^{19} b^{12} - 3247768 \, a^{17} b^{13} - 2257157 \, a^{15} b^{14} + 3821356 \, a^{13} b^{15} - 2506591 \, a^{11} b^{16} + 908932 \, a^{9} b^{17} - 173193 \, a^{7} b^{18} - 4098 \, a^{5} b^{19} + 2208 \, a^{3} b^{20} + 96 \, a b^{21} - {\left(768 \, a^{30} b^{2} + 14080 \, a^{28} b^{3} + 100352 \, a^{26} b^{4} + 332800 \, a^{24} b^{5} + 417312 \, a^{22} b^{6} - 252576 \, a^{20} b^{7} - 761616 \, a^{18} b^{8} + 376832 \, a^{16} b^{9} + 674803 \, a^{14} b^{10} - 540469 \, a^{12} b^{11} - 131605 \, a^{10} b^{12} + 277126 \, a^{8} b^{13} - 113494 \, a^{6} b^{14} - 6088 \, a^{4} b^{15} + 2272 \, a^{2} b^{16} + 128 \, b^{17}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}\right)} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}}}{16 \, {\left(663552 \, a^{34} b^{8} + 3207168 \, a^{32} b^{9} - 331776 \, a^{30} b^{10} - 11347968 \, a^{28} b^{11} + 7923200 \, a^{26} b^{12} + 10624256 \, a^{24} b^{13} - 18989568 \, a^{22} b^{14} + 8054272 \, a^{20} b^{15} + 6152416 \, a^{18} b^{16} - 10022256 \, a^{16} b^{17} + 6265840 \, a^{14} b^{18} - 2193416 \, a^{12} b^{19} + 418410 \, a^{10} b^{20} - 32293 \, a^{8} b^{21} - 1564 \, a^{6} b^{22} + 357 \, a^{4} b^{23} - 4 \, a^{2} b^{24} - b^{25}\right)} x}\right) - 2 \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \arctan\left(-\frac{{\left({\left(8 \, a^{16} + 124 \, a^{14} b + 710 \, a^{12} b^{2} + 1717 \, a^{10} b^{3} + 1100 \, a^{8} b^{4} - 1358 \, a^{6} b^{5} - 424 \, a^{4} b^{6} + 1120 \, a^{2} b^{7} + 128 \, b^{8}\right)} x \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} + {\left(128 \, a^{25} + 1600 \, a^{23} b + 6752 \, a^{21} b^{2} + 8720 \, a^{19} b^{3} - 7928 \, a^{17} b^{4} - 14692 \, a^{15} b^{5} + 12226 \, a^{13} b^{6} - 1093 \, a^{11} b^{7} - 9155 \, a^{9} b^{8} + 9513 \, a^{7} b^{9} - 4386 \, a^{5} b^{10} + 1344 \, a^{3} b^{11} + 96 \, a b^{12}\right)} x\right)} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} \sqrt{\frac{\sqrt{2} {\left({\left(64 \, a^{23} + 1024 \, a^{21} b + 6192 \, a^{19} b^{2} + 16592 \, a^{17} b^{3} + 14348 \, a^{15} b^{4} - 13512 \, a^{13} b^{5} - 18051 \, a^{11} b^{6} + 11013 \, a^{9} b^{7} + 3423 \, a^{7} b^{8} - 8428 \, a^{5} b^{9} + 2768 \, a^{3} b^{10} + 192 \, a b^{11}\right)} x^{2} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} + {\left(1024 \, a^{32} + 13312 \, a^{30} b + 60672 \, a^{28} b^{2} + 96256 \, a^{26} b^{3} - 43136 \, a^{24} b^{4} - 176256 \, a^{22} b^{5} + 90912 \, a^{20} b^{6} + 115008 \, a^{18} b^{7} - 178476 \, a^{16} b^{8} + 42164 \, a^{14} b^{9} + 67697 \, a^{12} b^{10} - 69972 \, a^{10} b^{11} + 34035 \, a^{8} b^{12} - 7620 \, a^{6} b^{13} + 1017 \, a^{4} b^{14} + 230 \, a^{2} b^{15} + 8 \, b^{16}\right)} x^{2}\right)} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} + 4 \, {\left(9216 \, a^{28} b^{4} + 52224 \, a^{26} b^{5} + 37120 \, a^{24} b^{6} - 136704 \, a^{22} b^{7} - 10368 \, a^{20} b^{8} + 166016 \, a^{18} b^{9} - 125280 \, a^{16} b^{10} - 24960 \, a^{14} b^{11} + 91316 \, a^{12} b^{12} - 59988 \, a^{10} b^{13} + 18933 \, a^{8} b^{14} - 1754 \, a^{6} b^{15} - 165 \, a^{4} b^{16} + 18 \, a^{2} b^{17} + b^{18}\right)} \sqrt{a x^{4} + b x^{3}}}{x^{2}}} - 2 \, {\left(12288 \, a^{39} b^{2} + 188416 \, a^{37} b^{3} + 1058816 \, a^{35} b^{4} + 2344960 \, a^{33} b^{5} + 75008 \, a^{31} b^{6} - 6023168 \, a^{29} b^{7} - 1408000 \, a^{27} b^{8} + 8562944 \, a^{25} b^{9} - 3888944 \, a^{23} b^{10} - 5739808 \, a^{21} b^{11} + 8664328 \, a^{19} b^{12} - 3247768 \, a^{17} b^{13} - 2257157 \, a^{15} b^{14} + 3821356 \, a^{13} b^{15} - 2506591 \, a^{11} b^{16} + 908932 \, a^{9} b^{17} - 173193 \, a^{7} b^{18} - 4098 \, a^{5} b^{19} + 2208 \, a^{3} b^{20} + 96 \, a b^{21} + {\left(768 \, a^{30} b^{2} + 14080 \, a^{28} b^{3} + 100352 \, a^{26} b^{4} + 332800 \, a^{24} b^{5} + 417312 \, a^{22} b^{6} - 252576 \, a^{20} b^{7} - 761616 \, a^{18} b^{8} + 376832 \, a^{16} b^{9} + 674803 \, a^{14} b^{10} - 540469 \, a^{12} b^{11} - 131605 \, a^{10} b^{12} + 277126 \, a^{8} b^{13} - 113494 \, a^{6} b^{14} - 6088 \, a^{4} b^{15} + 2272 \, a^{2} b^{16} + 128 \, b^{17}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}}{8 \, {\left(663552 \, a^{34} b^{8} + 3207168 \, a^{32} b^{9} - 331776 \, a^{30} b^{10} - 11347968 \, a^{28} b^{11} + 7923200 \, a^{26} b^{12} + 10624256 \, a^{24} b^{13} - 18989568 \, a^{22} b^{14} + 8054272 \, a^{20} b^{15} + 6152416 \, a^{18} b^{16} - 10022256 \, a^{16} b^{17} + 6265840 \, a^{14} b^{18} - 2193416 \, a^{12} b^{19} + 418410 \, a^{10} b^{20} - 32293 \, a^{8} b^{21} - 1564 \, a^{6} b^{22} + 357 \, a^{4} b^{23} - 4 \, a^{2} b^{24} - b^{25}\right)} x}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(\frac{\sqrt{2} {\left({\left(2 \, a^{7} + 19 \, a^{5} b + 56 \, a^{3} b^{2} + 48 \, a b^{3}\right)} x \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} - {\left(32 \, a^{16} + 208 \, a^{14} b + 224 \, a^{12} b^{2} - 424 \, a^{10} b^{3} - 62 \, a^{8} b^{4} + 329 \, a^{6} b^{5} - 239 \, a^{4} b^{6} + 53 \, a^{2} b^{7} + 4 \, b^{8}\right)} x\right)} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} + 4 \, {\left(96 \, a^{14} b^{2} + 272 \, a^{12} b^{3} - 192 \, a^{10} b^{4} - 168 \, a^{8} b^{5} + 230 \, a^{6} b^{6} - 123 \, a^{4} b^{7} + 9 \, a^{2} b^{8} + b^{9}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(-\frac{\sqrt{2} {\left({\left(2 \, a^{7} + 19 \, a^{5} b + 56 \, a^{3} b^{2} + 48 \, a b^{3}\right)} x \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} - {\left(32 \, a^{16} + 208 \, a^{14} b + 224 \, a^{12} b^{2} - 424 \, a^{10} b^{3} - 62 \, a^{8} b^{4} + 329 \, a^{6} b^{5} - 239 \, a^{4} b^{6} + 53 \, a^{2} b^{7} + 4 \, b^{8}\right)} x\right)} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} - 4 \, {\left(96 \, a^{14} b^{2} + 272 \, a^{12} b^{3} - 192 \, a^{10} b^{4} - 168 \, a^{8} b^{5} + 230 \, a^{6} b^{6} - 123 \, a^{4} b^{7} + 9 \, a^{2} b^{8} + b^{9}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(\frac{\sqrt{2} {\left({\left(2 \, a^{7} + 19 \, a^{5} b + 56 \, a^{3} b^{2} + 48 \, a b^{3}\right)} x \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} + {\left(32 \, a^{16} + 208 \, a^{14} b + 224 \, a^{12} b^{2} - 424 \, a^{10} b^{3} - 62 \, a^{8} b^{4} + 329 \, a^{6} b^{5} - 239 \, a^{4} b^{6} + 53 \, a^{2} b^{7} + 4 \, b^{8}\right)} x\right)} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} + 4 \, {\left(96 \, a^{14} b^{2} + 272 \, a^{12} b^{3} - 192 \, a^{10} b^{4} - 168 \, a^{8} b^{5} + 230 \, a^{6} b^{6} - 123 \, a^{4} b^{7} + 9 \, a^{2} b^{8} + b^{9}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(-\frac{\sqrt{2} {\left({\left(2 \, a^{7} + 19 \, a^{5} b + 56 \, a^{3} b^{2} + 48 \, a b^{3}\right)} x \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} + {\left(32 \, a^{16} + 208 \, a^{14} b + 224 \, a^{12} b^{2} - 424 \, a^{10} b^{3} - 62 \, a^{8} b^{4} + 329 \, a^{6} b^{5} - 239 \, a^{4} b^{6} + 53 \, a^{2} b^{7} + 4 \, b^{8}\right)} x\right)} \sqrt{\sqrt{2} \sqrt{\frac{16 \, a^{13} + 80 \, a^{11} b + 40 \, a^{9} b^{2} - 112 \, a^{7} b^{3} + 49 \, a^{5} b^{4} - 13 \, a^{3} b^{5} + 15 \, a b^{6} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{256 \, a^{24} + 1536 \, a^{22} b + 1536 \, a^{20} b^{2} - 3328 \, a^{18} b^{3} - 1440 \, a^{16} b^{4} + 4224 \, a^{14} b^{5} - 2032 \, a^{12} b^{6} - 1488 \, a^{10} b^{7} + 2097 \, a^{8} b^{8} - 926 \, a^{6} b^{9} + 159 \, a^{4} b^{10} + 30 \, a^{2} b^{11} + b^{12}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} - 4 \, {\left(96 \, a^{14} b^{2} + 272 \, a^{12} b^{3} - 192 \, a^{10} b^{4} - 168 \, a^{8} b^{5} + 230 \, a^{6} b^{6} - 123 \, a^{4} b^{7} + 9 \, a^{2} b^{8} + b^{9}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + 2 \, {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} a - 2 \, {\left(256 \, a^{9} - 768 \, a^{7} b + 864 \, a^{5} b^{2} - 432 \, a^{3} b^{3} + 81 \, a b^{4}\right)}^{\frac{1}{4}} \arctan\left(\frac{{\left(256 \, a^{9} - 768 \, a^{7} b + 864 \, a^{5} b^{2} - 432 \, a^{3} b^{3} + 81 \, a b^{4}\right)}^{\frac{3}{4}} x \sqrt{\frac{\sqrt{256 \, a^{9} - 768 \, a^{7} b + 864 \, a^{5} b^{2} - 432 \, a^{3} b^{3} + 81 \, a b^{4}} x^{2} + \sqrt{a x^{4} + b x^{3}} {\left(16 \, a^{4} - 24 \, a^{2} b + 9 \, b^{2}\right)}}{x^{2}}} + {\left(256 \, a^{9} - 768 \, a^{7} b + 864 \, a^{5} b^{2} - 432 \, a^{3} b^{3} + 81 \, a b^{4}\right)}^{\frac{3}{4}} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(4 \, a^{2} - 3 \, b\right)}}{{\left(256 \, a^{9} - 768 \, a^{7} b + 864 \, a^{5} b^{2} - 432 \, a^{3} b^{3} + 81 \, a b^{4}\right)} x}\right) - \frac{1}{2} \, {\left(256 \, a^{9} - 768 \, a^{7} b + 864 \, a^{5} b^{2} - 432 \, a^{3} b^{3} + 81 \, a b^{4}\right)}^{\frac{1}{4}} \log\left(-\frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(4 \, a^{2} - 3 \, b\right)} + {\left(256 \, a^{9} - 768 \, a^{7} b + 864 \, a^{5} b^{2} - 432 \, a^{3} b^{3} + 81 \, a b^{4}\right)}^{\frac{1}{4}} x}{x}\right) + \frac{1}{2} \, {\left(256 \, a^{9} - 768 \, a^{7} b + 864 \, a^{5} b^{2} - 432 \, a^{3} b^{3} + 81 \, a b^{4}\right)}^{\frac{1}{4}} \log\left(-\frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(4 \, a^{2} - 3 \, b\right)} - {\left(256 \, a^{9} - 768 \, a^{7} b + 864 \, a^{5} b^{2} - 432 \, a^{3} b^{3} + 81 \, a b^{4}\right)}^{\frac{1}{4}} x}{x}\right)"," ",0,"2*sqrt(2)*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*arctan(-1/16*sqrt(2)*(sqrt(2)*((8*a^16 + 124*a^14*b + 710*a^12*b^2 + 1717*a^10*b^3 + 1100*a^8*b^4 - 1358*a^6*b^5 - 424*a^4*b^6 + 1120*a^2*b^7 + 128*b^8)*x*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) - (128*a^25 + 1600*a^23*b + 6752*a^21*b^2 + 8720*a^19*b^3 - 7928*a^17*b^4 - 14692*a^15*b^5 + 12226*a^13*b^6 - 1093*a^11*b^7 - 9155*a^9*b^8 + 9513*a^7*b^9 - 4386*a^5*b^10 + 1344*a^3*b^11 + 96*a*b^12)*x)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))*sqrt(-(sqrt(2)*((64*a^23 + 1024*a^21*b + 6192*a^19*b^2 + 16592*a^17*b^3 + 14348*a^15*b^4 - 13512*a^13*b^5 - 18051*a^11*b^6 + 11013*a^9*b^7 + 3423*a^7*b^8 - 8428*a^5*b^9 + 2768*a^3*b^10 + 192*a*b^11)*x^2*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) - (1024*a^32 + 13312*a^30*b + 60672*a^28*b^2 + 96256*a^26*b^3 - 43136*a^24*b^4 - 176256*a^22*b^5 + 90912*a^20*b^6 + 115008*a^18*b^7 - 178476*a^16*b^8 + 42164*a^14*b^9 + 67697*a^12*b^10 - 69972*a^10*b^11 + 34035*a^8*b^12 - 7620*a^6*b^13 + 1017*a^4*b^14 + 230*a^2*b^15 + 8*b^16)*x^2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)) - 4*(9216*a^28*b^4 + 52224*a^26*b^5 + 37120*a^24*b^6 - 136704*a^22*b^7 - 10368*a^20*b^8 + 166016*a^18*b^9 - 125280*a^16*b^10 - 24960*a^14*b^11 + 91316*a^12*b^12 - 59988*a^10*b^13 + 18933*a^8*b^14 - 1754*a^6*b^15 - 165*a^4*b^16 + 18*a^2*b^17 + b^18)*sqrt(a*x^4 + b*x^3))/x^2) + 2*sqrt(2)*(12288*a^39*b^2 + 188416*a^37*b^3 + 1058816*a^35*b^4 + 2344960*a^33*b^5 + 75008*a^31*b^6 - 6023168*a^29*b^7 - 1408000*a^27*b^8 + 8562944*a^25*b^9 - 3888944*a^23*b^10 - 5739808*a^21*b^11 + 8664328*a^19*b^12 - 3247768*a^17*b^13 - 2257157*a^15*b^14 + 3821356*a^13*b^15 - 2506591*a^11*b^16 + 908932*a^9*b^17 - 173193*a^7*b^18 - 4098*a^5*b^19 + 2208*a^3*b^20 + 96*a*b^21 - (768*a^30*b^2 + 14080*a^28*b^3 + 100352*a^26*b^4 + 332800*a^24*b^5 + 417312*a^22*b^6 - 252576*a^20*b^7 - 761616*a^18*b^8 + 376832*a^16*b^9 + 674803*a^14*b^10 - 540469*a^12*b^11 - 131605*a^10*b^12 + 277126*a^8*b^13 - 113494*a^6*b^14 - 6088*a^4*b^15 + 2272*a^2*b^16 + 128*b^17)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))*(a*x^4 + b*x^3)^(1/4)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))/((663552*a^34*b^8 + 3207168*a^32*b^9 - 331776*a^30*b^10 - 11347968*a^28*b^11 + 7923200*a^26*b^12 + 10624256*a^24*b^13 - 18989568*a^22*b^14 + 8054272*a^20*b^15 + 6152416*a^18*b^16 - 10022256*a^16*b^17 + 6265840*a^14*b^18 - 2193416*a^12*b^19 + 418410*a^10*b^20 - 32293*a^8*b^21 - 1564*a^6*b^22 + 357*a^4*b^23 - 4*a^2*b^24 - b^25)*x)) - 2*sqrt(2)*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*arctan(-1/8*(((8*a^16 + 124*a^14*b + 710*a^12*b^2 + 1717*a^10*b^3 + 1100*a^8*b^4 - 1358*a^6*b^5 - 424*a^4*b^6 + 1120*a^2*b^7 + 128*b^8)*x*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) + (128*a^25 + 1600*a^23*b + 6752*a^21*b^2 + 8720*a^19*b^3 - 7928*a^17*b^4 - 14692*a^15*b^5 + 12226*a^13*b^6 - 1093*a^11*b^7 - 9155*a^9*b^8 + 9513*a^7*b^9 - 4386*a^5*b^10 + 1344*a^3*b^11 + 96*a*b^12)*x)*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))*sqrt((sqrt(2)*((64*a^23 + 1024*a^21*b + 6192*a^19*b^2 + 16592*a^17*b^3 + 14348*a^15*b^4 - 13512*a^13*b^5 - 18051*a^11*b^6 + 11013*a^9*b^7 + 3423*a^7*b^8 - 8428*a^5*b^9 + 2768*a^3*b^10 + 192*a*b^11)*x^2*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) + (1024*a^32 + 13312*a^30*b + 60672*a^28*b^2 + 96256*a^26*b^3 - 43136*a^24*b^4 - 176256*a^22*b^5 + 90912*a^20*b^6 + 115008*a^18*b^7 - 178476*a^16*b^8 + 42164*a^14*b^9 + 67697*a^12*b^10 - 69972*a^10*b^11 + 34035*a^8*b^12 - 7620*a^6*b^13 + 1017*a^4*b^14 + 230*a^2*b^15 + 8*b^16)*x^2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)) + 4*(9216*a^28*b^4 + 52224*a^26*b^5 + 37120*a^24*b^6 - 136704*a^22*b^7 - 10368*a^20*b^8 + 166016*a^18*b^9 - 125280*a^16*b^10 - 24960*a^14*b^11 + 91316*a^12*b^12 - 59988*a^10*b^13 + 18933*a^8*b^14 - 1754*a^6*b^15 - 165*a^4*b^16 + 18*a^2*b^17 + b^18)*sqrt(a*x^4 + b*x^3))/x^2) - 2*(12288*a^39*b^2 + 188416*a^37*b^3 + 1058816*a^35*b^4 + 2344960*a^33*b^5 + 75008*a^31*b^6 - 6023168*a^29*b^7 - 1408000*a^27*b^8 + 8562944*a^25*b^9 - 3888944*a^23*b^10 - 5739808*a^21*b^11 + 8664328*a^19*b^12 - 3247768*a^17*b^13 - 2257157*a^15*b^14 + 3821356*a^13*b^15 - 2506591*a^11*b^16 + 908932*a^9*b^17 - 173193*a^7*b^18 - 4098*a^5*b^19 + 2208*a^3*b^20 + 96*a*b^21 + (768*a^30*b^2 + 14080*a^28*b^3 + 100352*a^26*b^4 + 332800*a^24*b^5 + 417312*a^22*b^6 - 252576*a^20*b^7 - 761616*a^18*b^8 + 376832*a^16*b^9 + 674803*a^14*b^10 - 540469*a^12*b^11 - 131605*a^10*b^12 + 277126*a^8*b^13 - 113494*a^6*b^14 - 6088*a^4*b^15 + 2272*a^2*b^16 + 128*b^17)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))*(a*x^4 + b*x^3)^(1/4)*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))/((663552*a^34*b^8 + 3207168*a^32*b^9 - 331776*a^30*b^10 - 11347968*a^28*b^11 + 7923200*a^26*b^12 + 10624256*a^24*b^13 - 18989568*a^22*b^14 + 8054272*a^20*b^15 + 6152416*a^18*b^16 - 10022256*a^16*b^17 + 6265840*a^14*b^18 - 2193416*a^12*b^19 + 418410*a^10*b^20 - 32293*a^8*b^21 - 1564*a^6*b^22 + 357*a^4*b^23 - 4*a^2*b^24 - b^25)*x)) + 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*log((sqrt(2)*((2*a^7 + 19*a^5*b + 56*a^3*b^2 + 48*a*b^3)*x*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) - (32*a^16 + 208*a^14*b + 224*a^12*b^2 - 424*a^10*b^3 - 62*a^8*b^4 + 329*a^6*b^5 - 239*a^4*b^6 + 53*a^2*b^7 + 4*b^8)*x)*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))) + 4*(96*a^14*b^2 + 272*a^12*b^3 - 192*a^10*b^4 - 168*a^8*b^5 + 230*a^6*b^6 - 123*a^4*b^7 + 9*a^2*b^8 + b^9)*(a*x^4 + b*x^3)^(1/4))/x) - 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*log(-(sqrt(2)*((2*a^7 + 19*a^5*b + 56*a^3*b^2 + 48*a*b^3)*x*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) - (32*a^16 + 208*a^14*b + 224*a^12*b^2 - 424*a^10*b^3 - 62*a^8*b^4 + 329*a^6*b^5 - 239*a^4*b^6 + 53*a^2*b^7 + 4*b^8)*x)*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))) - 4*(96*a^14*b^2 + 272*a^12*b^3 - 192*a^10*b^4 - 168*a^8*b^5 + 230*a^6*b^6 - 123*a^4*b^7 + 9*a^2*b^8 + b^9)*(a*x^4 + b*x^3)^(1/4))/x) - 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*log((sqrt(2)*((2*a^7 + 19*a^5*b + 56*a^3*b^2 + 48*a*b^3)*x*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) + (32*a^16 + 208*a^14*b + 224*a^12*b^2 - 424*a^10*b^3 - 62*a^8*b^4 + 329*a^6*b^5 - 239*a^4*b^6 + 53*a^2*b^7 + 4*b^8)*x)*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))) + 4*(96*a^14*b^2 + 272*a^12*b^3 - 192*a^10*b^4 - 168*a^8*b^5 + 230*a^6*b^6 - 123*a^4*b^7 + 9*a^2*b^8 + b^9)*(a*x^4 + b*x^3)^(1/4))/x) + 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*log(-(sqrt(2)*((2*a^7 + 19*a^5*b + 56*a^3*b^2 + 48*a*b^3)*x*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) + (32*a^16 + 208*a^14*b + 224*a^12*b^2 - 424*a^10*b^3 - 62*a^8*b^4 + 329*a^6*b^5 - 239*a^4*b^6 + 53*a^2*b^7 + 4*b^8)*x)*sqrt(sqrt(2)*sqrt((16*a^13 + 80*a^11*b + 40*a^9*b^2 - 112*a^7*b^3 + 49*a^5*b^4 - 13*a^3*b^5 + 15*a*b^6 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((256*a^24 + 1536*a^22*b + 1536*a^20*b^2 - 3328*a^18*b^3 - 1440*a^16*b^4 + 4224*a^14*b^5 - 2032*a^12*b^6 - 1488*a^10*b^7 + 2097*a^8*b^8 - 926*a^6*b^9 + 159*a^4*b^10 + 30*a^2*b^11 + b^12)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))) - 4*(96*a^14*b^2 + 272*a^12*b^3 - 192*a^10*b^4 - 168*a^8*b^5 + 230*a^6*b^6 - 123*a^4*b^7 + 9*a^2*b^8 + b^9)*(a*x^4 + b*x^3)^(1/4))/x) + 2*(a*x^4 + b*x^3)^(1/4)*a - 2*(256*a^9 - 768*a^7*b + 864*a^5*b^2 - 432*a^3*b^3 + 81*a*b^4)^(1/4)*arctan(((256*a^9 - 768*a^7*b + 864*a^5*b^2 - 432*a^3*b^3 + 81*a*b^4)^(3/4)*x*sqrt((sqrt(256*a^9 - 768*a^7*b + 864*a^5*b^2 - 432*a^3*b^3 + 81*a*b^4)*x^2 + sqrt(a*x^4 + b*x^3)*(16*a^4 - 24*a^2*b + 9*b^2))/x^2) + (256*a^9 - 768*a^7*b + 864*a^5*b^2 - 432*a^3*b^3 + 81*a*b^4)^(3/4)*(a*x^4 + b*x^3)^(1/4)*(4*a^2 - 3*b))/((256*a^9 - 768*a^7*b + 864*a^5*b^2 - 432*a^3*b^3 + 81*a*b^4)*x)) - 1/2*(256*a^9 - 768*a^7*b + 864*a^5*b^2 - 432*a^3*b^3 + 81*a*b^4)^(1/4)*log(-((a*x^4 + b*x^3)^(1/4)*(4*a^2 - 3*b) + (256*a^9 - 768*a^7*b + 864*a^5*b^2 - 432*a^3*b^3 + 81*a*b^4)^(1/4)*x)/x) + 1/2*(256*a^9 - 768*a^7*b + 864*a^5*b^2 - 432*a^3*b^3 + 81*a*b^4)^(1/4)*log(-((a*x^4 + b*x^3)^(1/4)*(4*a^2 - 3*b) - (256*a^9 - 768*a^7*b + 864*a^5*b^2 - 432*a^3*b^3 + 81*a*b^4)^(1/4)*x)/x)","B",0
2912,1,470,0,2.804312," ","integrate(x^3/(x^4-x^2)^(1/3)/(x^6+1),x, algorithm=""fricas"")","-\frac{1}{72} \, \sqrt{6} 2^{\frac{1}{6}} \left(-1\right)^{\frac{1}{3}} \arctan\left(\frac{2^{\frac{1}{6}} {\left(24 \, \sqrt{6} 2^{\frac{2}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{8} - 2 \, x^{6} - 6 \, x^{4} - 2 \, x^{2} + 1\right)} {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} - 12 \, \sqrt{6} \left(-1\right)^{\frac{1}{3}} {\left(x^{10} - 33 \, x^{8} + 110 \, x^{6} - 110 \, x^{4} + 33 \, x^{2} - 1\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} + \sqrt{6} 2^{\frac{1}{3}} {\left(x^{12} + 42 \, x^{10} - 417 \, x^{8} + 812 \, x^{6} - 417 \, x^{4} + 42 \, x^{2} + 1\right)}\right)}}{6 \, {\left(x^{12} - 102 \, x^{10} + 447 \, x^{8} - 628 \, x^{6} + 447 \, x^{4} - 102 \, x^{2} + 1\right)}}\right) - \frac{1}{144} \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(-\frac{12 \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} {\left(x^{4} - 4 \, x^{2} + 1\right)} - 2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{8} - 32 \, x^{6} + 78 \, x^{4} - 32 \, x^{2} + 1\right)} + 6 \, {\left(x^{6} - 11 \, x^{4} + 11 \, x^{2} - 1\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}}}{x^{8} + 4 \, x^{6} + 6 \, x^{4} + 4 \, x^{2} + 1}\right) + \frac{1}{72} \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(-\frac{6 \cdot 2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{2} - 1\right)} - 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{4} + 2 \, x^{2} + 1\right)} + 12 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}}}{x^{4} + 2 \, x^{2} + 1}\right) - \frac{1}{6} \, \sqrt{3} \arctan\left(-\frac{\sqrt{3} {\left(x^{2} - 1\right)} - 2 \, \sqrt{3} {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}}}{3 \, {\left(x^{2} - 1\right)}}\right) + \frac{1}{12} \, \log\left(\frac{x^{4} - x^{2} + 3 \, {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{2} - 1\right)} + 3 \, {\left(x^{4} - x^{2}\right)}^{\frac{2}{3}} + 1}{x^{4} - x^{2} + 1}\right)"," ",0,"-1/72*sqrt(6)*2^(1/6)*(-1)^(1/3)*arctan(1/6*2^(1/6)*(24*sqrt(6)*2^(2/3)*(-1)^(2/3)*(x^8 - 2*x^6 - 6*x^4 - 2*x^2 + 1)*(x^4 - x^2)^(2/3) - 12*sqrt(6)*(-1)^(1/3)*(x^10 - 33*x^8 + 110*x^6 - 110*x^4 + 33*x^2 - 1)*(x^4 - x^2)^(1/3) + sqrt(6)*2^(1/3)*(x^12 + 42*x^10 - 417*x^8 + 812*x^6 - 417*x^4 + 42*x^2 + 1))/(x^12 - 102*x^10 + 447*x^8 - 628*x^6 + 447*x^4 - 102*x^2 + 1)) - 1/144*2^(2/3)*(-1)^(1/3)*log(-(12*2^(2/3)*(-1)^(1/3)*(x^4 - x^2)^(2/3)*(x^4 - 4*x^2 + 1) - 2^(1/3)*(-1)^(2/3)*(x^8 - 32*x^6 + 78*x^4 - 32*x^2 + 1) + 6*(x^6 - 11*x^4 + 11*x^2 - 1)*(x^4 - x^2)^(1/3))/(x^8 + 4*x^6 + 6*x^4 + 4*x^2 + 1)) + 1/72*2^(2/3)*(-1)^(1/3)*log(-(6*2^(1/3)*(-1)^(2/3)*(x^4 - x^2)^(1/3)*(x^2 - 1) - 2^(2/3)*(-1)^(1/3)*(x^4 + 2*x^2 + 1) + 12*(x^4 - x^2)^(2/3))/(x^4 + 2*x^2 + 1)) - 1/6*sqrt(3)*arctan(-1/3*(sqrt(3)*(x^2 - 1) - 2*sqrt(3)*(x^4 - x^2)^(1/3))/(x^2 - 1)) + 1/12*log((x^4 - x^2 + 3*(x^4 - x^2)^(1/3)*(x^2 - 1) + 3*(x^4 - x^2)^(2/3) + 1)/(x^4 - x^2 + 1))","A",0
2913,-1,0,0,0.000000," ","integrate(x^4*(a^2*x^2+b)^(1/2)/(x^2-(a*x-(a^2*x^2+b)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2914,1,6305,0,2.264364," ","integrate((x^2-1)/((a*x+b)/(c*x+d))^(1/4),x, algorithm=""fricas"")","\frac{12 \, a^{3} c^{2} \left(\frac{4116 \, a^{11} b c d^{11} + 2401 \, a^{12} d^{12} + {\left(1048576 \, a^{8} b^{4} - 1966080 \, a^{6} b^{6} + 1382400 \, a^{4} b^{8} - 432000 \, a^{2} b^{10} + 50625 \, b^{12}\right)} c^{12} - 4 \, {\left(1048576 \, a^{9} b^{3} - 1638400 \, a^{7} b^{5} + 921600 \, a^{5} b^{7} - 216000 \, a^{3} b^{9} + 16875 \, a b^{11}\right)} c^{11} d + 6 \, {\left(1048576 \, a^{10} b^{2} - 1245184 \, a^{8} b^{4} + 471040 \, a^{6} b^{6} - 52800 \, a^{4} b^{8} - 1125 \, a^{2} b^{10}\right)} c^{10} d^{2} - 4 \, {\left(1048576 \, a^{11} b - 917504 \, a^{9} b^{3} + 307200 \, a^{7} b^{5} - 83200 \, a^{5} b^{7} + 15375 \, a^{3} b^{9}\right)} c^{9} d^{3} + {\left(1048576 \, a^{12} - 2228224 \, a^{10} b^{2} + 2297856 \, a^{8} b^{4} - 874240 \, a^{6} b^{6} + 93775 \, a^{4} b^{8}\right)} c^{8} d^{4} + 24 \, {\left(98304 \, a^{11} b - 75776 \, a^{9} b^{3} + 11200 \, a^{7} b^{5} + 775 \, a^{5} b^{7}\right)} c^{7} d^{5} - 4 \, {\left(229376 \, a^{12} - 67584 \, a^{10} b^{2} + 10176 \, a^{8} b^{4} - 7895 \, a^{6} b^{6}\right)} c^{6} d^{6} - 24 \, {\left(14336 \, a^{11} b - 13184 \, a^{9} b^{3} + 2025 \, a^{7} b^{5}\right)} c^{5} d^{7} + 3 \, {\left(100352 \, a^{12} - 20608 \, a^{10} b^{2} - 5083 \, a^{8} b^{4}\right)} c^{4} d^{8} - 28 \, {\left(448 \, a^{11} b + 393 \, a^{9} b^{3}\right)} c^{3} d^{9} - 98 \, {\left(448 \, a^{12} - 97 \, a^{10} b^{2}\right)} c^{2} d^{10}}{a^{13} c^{11}}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{{\left(302526 \, a^{17} b c d^{17} + 117649 \, a^{18} d^{18} + {\left(1073741824 \, a^{12} b^{6} - 3019898880 \, a^{10} b^{8} + 3538944000 \, a^{8} b^{10} - 2211840000 \, a^{6} b^{12} + 777600000 \, a^{4} b^{14} - 145800000 \, a^{2} b^{16} + 11390625 \, b^{18}\right)} c^{18} - 6 \, {\left(1073741824 \, a^{13} b^{5} - 2684354560 \, a^{11} b^{7} + 2752512000 \, a^{9} b^{9} - 1474560000 \, a^{7} b^{11} + 432000000 \, a^{5} b^{13} - 64800000 \, a^{3} b^{15} + 3796875 \, a b^{17}\right)} c^{17} d + 3 \, {\left(5368709120 \, a^{14} b^{4} - 11542724608 \, a^{12} b^{6} + 9882828800 \, a^{10} b^{8} - 4227072000 \, a^{8} b^{10} + 915840000 \, a^{6} b^{12} - 86400000 \, a^{4} b^{14} + 1771875 \, a^{2} b^{16}\right)} c^{16} d^{2} - 16 \, {\left(1342177280 \, a^{15} b^{3} - 2415919104 \, a^{13} b^{5} + 1690828800 \, a^{11} b^{7} - 585728000 \, a^{9} b^{9} + 110880000 \, a^{7} b^{11} - 13500000 \, a^{5} b^{13} + 1096875 \, a^{3} b^{15}\right)} c^{15} d^{3} + 60 \, {\left(268435456 \, a^{16} b^{2} - 436207616 \, a^{14} b^{4} + 323485696 \, a^{12} b^{6} - 158433280 \, a^{10} b^{8} + 53766400 \, a^{8} b^{10} - 10392000 \, a^{6} b^{12} + 781875 \, a^{4} b^{14}\right)} c^{14} d^{4} - 24 \, {\left(268435456 \, a^{17} b - 671088640 \, a^{15} b^{3} + 815267840 \, a^{13} b^{5} - 501350400 \, a^{11} b^{7} + 147488000 \, a^{9} b^{9} - 17320000 \, a^{7} b^{11} + 328125 \, a^{5} b^{13}\right)} c^{13} d^{5} + 4 \, {\left(268435456 \, a^{18} - 3019898880 \, a^{16} b^{2} + 3971481600 \, a^{14} b^{4} - 1859256320 \, a^{12} b^{6} + 338515200 \, a^{10} b^{8} - 23424000 \, a^{8} b^{10} + 2100625 \, a^{6} b^{12}\right)} c^{12} d^{6} + 48 \, {\left(134217728 \, a^{17} b - 144179200 \, a^{15} b^{3} + 71106560 \, a^{13} b^{5} - 29811200 \, a^{11} b^{7} + 8516000 \, a^{9} b^{9} - 879375 \, a^{7} b^{11}\right)} c^{11} d^{7} - 6 \, {\left(234881024 \, a^{18} - 537395200 \, a^{16} b^{2} + 627507200 \, a^{14} b^{4} - 290639360 \, a^{12} b^{6} + 44430400 \, a^{10} b^{8} - 492125 \, a^{8} b^{10}\right)} c^{10} d^{8} - 20 \, {\left(121110528 \, a^{17} b - 109445120 \, a^{15} b^{3} + 22353408 \, a^{13} b^{5} + 447360 \, a^{11} b^{7} + 15975 \, a^{9} b^{9}\right)} c^{9} d^{9} + 6 \, {\left(128450560 \, a^{18} - 68812800 \, a^{16} b^{2} + 41638400 \, a^{14} b^{4} - 23924224 \, a^{12} b^{6} + 3566605 \, a^{10} b^{8}\right)} c^{8} d^{10} + 48 \, {\left(8028160 \, a^{17} b - 8288000 \, a^{15} b^{3} + 1718368 \, a^{13} b^{5} + 28305 \, a^{11} b^{7}\right)} c^{7} d^{11} - 4 \, {\left(56197120 \, a^{18} - 14112000 \, a^{16} b^{2} - 4320960 \, a^{14} b^{4} + 103199 \, a^{12} b^{6}\right)} c^{6} d^{12} - 168 \, {\left(62720 \, a^{17} b - 176960 \, a^{15} b^{3} + 37083 \, a^{13} b^{5}\right)} c^{5} d^{13} + 2940 \, {\left(12544 \, a^{18} - 3584 \, a^{16} b^{2} - 461 \, a^{14} b^{4}\right)} c^{4} d^{14} - 16464 \, {\left(224 \, a^{17} b + 15 \, a^{15} b^{3}\right)} c^{3} d^{15} - 7203 \, {\left(448 \, a^{18} - 115 \, a^{16} b^{2}\right)} c^{2} d^{16}\right)} \sqrt{\frac{a x + b}{c x + d}} + {\left(4116 \, a^{18} b c^{6} d^{11} + 2401 \, a^{19} c^{5} d^{12} + {\left(1048576 \, a^{15} b^{4} - 1966080 \, a^{13} b^{6} + 1382400 \, a^{11} b^{8} - 432000 \, a^{9} b^{10} + 50625 \, a^{7} b^{12}\right)} c^{17} - 4 \, {\left(1048576 \, a^{16} b^{3} - 1638400 \, a^{14} b^{5} + 921600 \, a^{12} b^{7} - 216000 \, a^{10} b^{9} + 16875 \, a^{8} b^{11}\right)} c^{16} d + 6 \, {\left(1048576 \, a^{17} b^{2} - 1245184 \, a^{15} b^{4} + 471040 \, a^{13} b^{6} - 52800 \, a^{11} b^{8} - 1125 \, a^{9} b^{10}\right)} c^{15} d^{2} - 4 \, {\left(1048576 \, a^{18} b - 917504 \, a^{16} b^{3} + 307200 \, a^{14} b^{5} - 83200 \, a^{12} b^{7} + 15375 \, a^{10} b^{9}\right)} c^{14} d^{3} + {\left(1048576 \, a^{19} - 2228224 \, a^{17} b^{2} + 2297856 \, a^{15} b^{4} - 874240 \, a^{13} b^{6} + 93775 \, a^{11} b^{8}\right)} c^{13} d^{4} + 24 \, {\left(98304 \, a^{18} b - 75776 \, a^{16} b^{3} + 11200 \, a^{14} b^{5} + 775 \, a^{12} b^{7}\right)} c^{12} d^{5} - 4 \, {\left(229376 \, a^{19} - 67584 \, a^{17} b^{2} + 10176 \, a^{15} b^{4} - 7895 \, a^{13} b^{6}\right)} c^{11} d^{6} - 24 \, {\left(14336 \, a^{18} b - 13184 \, a^{16} b^{3} + 2025 \, a^{14} b^{5}\right)} c^{10} d^{7} + 3 \, {\left(100352 \, a^{19} - 20608 \, a^{17} b^{2} - 5083 \, a^{15} b^{4}\right)} c^{9} d^{8} - 28 \, {\left(448 \, a^{18} b + 393 \, a^{16} b^{3}\right)} c^{8} d^{9} - 98 \, {\left(448 \, a^{19} - 97 \, a^{17} b^{2}\right)} c^{7} d^{10}\right)} \sqrt{\frac{4116 \, a^{11} b c d^{11} + 2401 \, a^{12} d^{12} + {\left(1048576 \, a^{8} b^{4} - 1966080 \, a^{6} b^{6} + 1382400 \, a^{4} b^{8} - 432000 \, a^{2} b^{10} + 50625 \, b^{12}\right)} c^{12} - 4 \, {\left(1048576 \, a^{9} b^{3} - 1638400 \, a^{7} b^{5} + 921600 \, a^{5} b^{7} - 216000 \, a^{3} b^{9} + 16875 \, a b^{11}\right)} c^{11} d + 6 \, {\left(1048576 \, a^{10} b^{2} - 1245184 \, a^{8} b^{4} + 471040 \, a^{6} b^{6} - 52800 \, a^{4} b^{8} - 1125 \, a^{2} b^{10}\right)} c^{10} d^{2} - 4 \, {\left(1048576 \, a^{11} b - 917504 \, a^{9} b^{3} + 307200 \, a^{7} b^{5} - 83200 \, a^{5} b^{7} + 15375 \, a^{3} b^{9}\right)} c^{9} d^{3} + {\left(1048576 \, a^{12} - 2228224 \, a^{10} b^{2} + 2297856 \, a^{8} b^{4} - 874240 \, a^{6} b^{6} + 93775 \, a^{4} b^{8}\right)} c^{8} d^{4} + 24 \, {\left(98304 \, a^{11} b - 75776 \, a^{9} b^{3} + 11200 \, a^{7} b^{5} + 775 \, a^{5} b^{7}\right)} c^{7} d^{5} - 4 \, {\left(229376 \, a^{12} - 67584 \, a^{10} b^{2} + 10176 \, a^{8} b^{4} - 7895 \, a^{6} b^{6}\right)} c^{6} d^{6} - 24 \, {\left(14336 \, a^{11} b - 13184 \, a^{9} b^{3} + 2025 \, a^{7} b^{5}\right)} c^{5} d^{7} + 3 \, {\left(100352 \, a^{12} - 20608 \, a^{10} b^{2} - 5083 \, a^{8} b^{4}\right)} c^{4} d^{8} - 28 \, {\left(448 \, a^{11} b + 393 \, a^{9} b^{3}\right)} c^{3} d^{9} - 98 \, {\left(448 \, a^{12} - 97 \, a^{10} b^{2}\right)} c^{2} d^{10}}{a^{13} c^{11}}}} a^{3} c^{3} \left(\frac{4116 \, a^{11} b c d^{11} + 2401 \, a^{12} d^{12} + {\left(1048576 \, a^{8} b^{4} - 1966080 \, a^{6} b^{6} + 1382400 \, a^{4} b^{8} - 432000 \, a^{2} b^{10} + 50625 \, b^{12}\right)} c^{12} - 4 \, {\left(1048576 \, a^{9} b^{3} - 1638400 \, a^{7} b^{5} + 921600 \, a^{5} b^{7} - 216000 \, a^{3} b^{9} + 16875 \, a b^{11}\right)} c^{11} d + 6 \, {\left(1048576 \, a^{10} b^{2} - 1245184 \, a^{8} b^{4} + 471040 \, a^{6} b^{6} - 52800 \, a^{4} b^{8} - 1125 \, a^{2} b^{10}\right)} c^{10} d^{2} - 4 \, {\left(1048576 \, a^{11} b - 917504 \, a^{9} b^{3} + 307200 \, a^{7} b^{5} - 83200 \, a^{5} b^{7} + 15375 \, a^{3} b^{9}\right)} c^{9} d^{3} + {\left(1048576 \, a^{12} - 2228224 \, a^{10} b^{2} + 2297856 \, a^{8} b^{4} - 874240 \, a^{6} b^{6} + 93775 \, a^{4} b^{8}\right)} c^{8} d^{4} + 24 \, {\left(98304 \, a^{11} b - 75776 \, a^{9} b^{3} + 11200 \, a^{7} b^{5} + 775 \, a^{5} b^{7}\right)} c^{7} d^{5} - 4 \, {\left(229376 \, a^{12} - 67584 \, a^{10} b^{2} + 10176 \, a^{8} b^{4} - 7895 \, a^{6} b^{6}\right)} c^{6} d^{6} - 24 \, {\left(14336 \, a^{11} b - 13184 \, a^{9} b^{3} + 2025 \, a^{7} b^{5}\right)} c^{5} d^{7} + 3 \, {\left(100352 \, a^{12} - 20608 \, a^{10} b^{2} - 5083 \, a^{8} b^{4}\right)} c^{4} d^{8} - 28 \, {\left(448 \, a^{11} b + 393 \, a^{9} b^{3}\right)} c^{3} d^{9} - 98 \, {\left(448 \, a^{12} - 97 \, a^{10} b^{2}\right)} c^{2} d^{10}}{a^{13} c^{11}}\right)^{\frac{1}{4}} - {\left(441 \, a^{11} b c^{4} d^{8} + 343 \, a^{12} c^{3} d^{9} + {\left(32768 \, a^{9} b^{3} - 46080 \, a^{7} b^{5} + 21600 \, a^{5} b^{7} - 3375 \, a^{3} b^{9}\right)} c^{12} - 3 \, {\left(32768 \, a^{10} b^{2} - 35840 \, a^{8} b^{4} + 12000 \, a^{6} b^{6} - 1125 \, a^{4} b^{8}\right)} c^{11} d + 12 \, {\left(8192 \, a^{11} b - 5632 \, a^{9} b^{3} + 680 \, a^{7} b^{5} + 75 \, a^{5} b^{7}\right)} c^{10} d^{2} - 4 \, {\left(8192 \, a^{12} - 4608 \, a^{10} b^{2} + 2760 \, a^{8} b^{4} - 875 \, a^{6} b^{6}\right)} c^{9} d^{3} - 6 \, {\left(5632 \, a^{11} b - 4144 \, a^{9} b^{3} + 555 \, a^{7} b^{5}\right)} c^{8} d^{4} + 6 \, {\left(3584 \, a^{12} - 592 \, a^{10} b^{2} - 205 \, a^{8} b^{4}\right)} c^{7} d^{5} + 12 \, {\left(56 \, a^{11} b - 129 \, a^{9} b^{3}\right)} c^{6} d^{6} - 84 \, {\left(56 \, a^{12} - 11 \, a^{10} b^{2}\right)} c^{5} d^{7}\right)} \left(\frac{a x + b}{c x + d}\right)^{\frac{1}{4}} \left(\frac{4116 \, a^{11} b c d^{11} + 2401 \, a^{12} d^{12} + {\left(1048576 \, a^{8} b^{4} - 1966080 \, a^{6} b^{6} + 1382400 \, a^{4} b^{8} - 432000 \, a^{2} b^{10} + 50625 \, b^{12}\right)} c^{12} - 4 \, {\left(1048576 \, a^{9} b^{3} - 1638400 \, a^{7} b^{5} + 921600 \, a^{5} b^{7} - 216000 \, a^{3} b^{9} + 16875 \, a b^{11}\right)} c^{11} d + 6 \, {\left(1048576 \, a^{10} b^{2} - 1245184 \, a^{8} b^{4} + 471040 \, a^{6} b^{6} - 52800 \, a^{4} b^{8} - 1125 \, a^{2} b^{10}\right)} c^{10} d^{2} - 4 \, {\left(1048576 \, a^{11} b - 917504 \, a^{9} b^{3} + 307200 \, a^{7} b^{5} - 83200 \, a^{5} b^{7} + 15375 \, a^{3} b^{9}\right)} c^{9} d^{3} + {\left(1048576 \, a^{12} - 2228224 \, a^{10} b^{2} + 2297856 \, a^{8} b^{4} - 874240 \, a^{6} b^{6} + 93775 \, a^{4} b^{8}\right)} c^{8} d^{4} + 24 \, {\left(98304 \, a^{11} b - 75776 \, a^{9} b^{3} + 11200 \, a^{7} b^{5} + 775 \, a^{5} b^{7}\right)} c^{7} d^{5} - 4 \, {\left(229376 \, a^{12} - 67584 \, a^{10} b^{2} + 10176 \, a^{8} b^{4} - 7895 \, a^{6} b^{6}\right)} c^{6} d^{6} - 24 \, {\left(14336 \, a^{11} b - 13184 \, a^{9} b^{3} + 2025 \, a^{7} b^{5}\right)} c^{5} d^{7} + 3 \, {\left(100352 \, a^{12} - 20608 \, a^{10} b^{2} - 5083 \, a^{8} b^{4}\right)} c^{4} d^{8} - 28 \, {\left(448 \, a^{11} b + 393 \, a^{9} b^{3}\right)} c^{3} d^{9} - 98 \, {\left(448 \, a^{12} - 97 \, a^{10} b^{2}\right)} c^{2} d^{10}}{a^{13} c^{11}}\right)^{\frac{1}{4}}}{4116 \, a^{11} b c d^{11} + 2401 \, a^{12} d^{12} + {\left(1048576 \, a^{8} b^{4} - 1966080 \, a^{6} b^{6} + 1382400 \, a^{4} b^{8} - 432000 \, a^{2} b^{10} + 50625 \, b^{12}\right)} c^{12} - 4 \, {\left(1048576 \, a^{9} b^{3} - 1638400 \, a^{7} b^{5} + 921600 \, a^{5} b^{7} - 216000 \, a^{3} b^{9} + 16875 \, a b^{11}\right)} c^{11} d + 6 \, {\left(1048576 \, a^{10} b^{2} - 1245184 \, a^{8} b^{4} + 471040 \, a^{6} b^{6} - 52800 \, a^{4} b^{8} - 1125 \, a^{2} b^{10}\right)} c^{10} d^{2} - 4 \, {\left(1048576 \, a^{11} b - 917504 \, a^{9} b^{3} + 307200 \, a^{7} b^{5} - 83200 \, a^{5} b^{7} + 15375 \, a^{3} b^{9}\right)} c^{9} d^{3} + {\left(1048576 \, a^{12} - 2228224 \, a^{10} b^{2} + 2297856 \, a^{8} b^{4} - 874240 \, a^{6} b^{6} + 93775 \, a^{4} b^{8}\right)} c^{8} d^{4} + 24 \, {\left(98304 \, a^{11} b - 75776 \, a^{9} b^{3} + 11200 \, a^{7} b^{5} + 775 \, a^{5} b^{7}\right)} c^{7} d^{5} - 4 \, {\left(229376 \, a^{12} - 67584 \, a^{10} b^{2} + 10176 \, a^{8} b^{4} - 7895 \, a^{6} b^{6}\right)} c^{6} d^{6} - 24 \, {\left(14336 \, a^{11} b - 13184 \, a^{9} b^{3} + 2025 \, a^{7} b^{5}\right)} c^{5} d^{7} + 3 \, {\left(100352 \, a^{12} - 20608 \, a^{10} b^{2} - 5083 \, a^{8} b^{4}\right)} c^{4} d^{8} - 28 \, {\left(448 \, a^{11} b + 393 \, a^{9} b^{3}\right)} c^{3} d^{9} - 98 \, {\left(448 \, a^{12} - 97 \, a^{10} b^{2}\right)} c^{2} d^{10}}\right) + 3 \, a^{3} c^{2} \left(\frac{4116 \, a^{11} b c d^{11} + 2401 \, a^{12} d^{12} + {\left(1048576 \, a^{8} b^{4} - 1966080 \, a^{6} b^{6} + 1382400 \, a^{4} b^{8} - 432000 \, a^{2} b^{10} + 50625 \, b^{12}\right)} c^{12} - 4 \, {\left(1048576 \, a^{9} b^{3} - 1638400 \, a^{7} b^{5} + 921600 \, a^{5} b^{7} - 216000 \, a^{3} b^{9} + 16875 \, a b^{11}\right)} c^{11} d + 6 \, {\left(1048576 \, a^{10} b^{2} - 1245184 \, a^{8} b^{4} + 471040 \, a^{6} b^{6} - 52800 \, a^{4} b^{8} - 1125 \, a^{2} b^{10}\right)} c^{10} d^{2} - 4 \, {\left(1048576 \, a^{11} b - 917504 \, a^{9} b^{3} + 307200 \, a^{7} b^{5} - 83200 \, a^{5} b^{7} + 15375 \, a^{3} b^{9}\right)} c^{9} d^{3} + {\left(1048576 \, a^{12} - 2228224 \, a^{10} b^{2} + 2297856 \, a^{8} b^{4} - 874240 \, a^{6} b^{6} + 93775 \, a^{4} b^{8}\right)} c^{8} d^{4} + 24 \, {\left(98304 \, a^{11} b - 75776 \, a^{9} b^{3} + 11200 \, a^{7} b^{5} + 775 \, a^{5} b^{7}\right)} c^{7} d^{5} - 4 \, {\left(229376 \, a^{12} - 67584 \, a^{10} b^{2} + 10176 \, a^{8} b^{4} - 7895 \, a^{6} b^{6}\right)} c^{6} d^{6} - 24 \, {\left(14336 \, a^{11} b - 13184 \, a^{9} b^{3} + 2025 \, a^{7} b^{5}\right)} c^{5} d^{7} + 3 \, {\left(100352 \, a^{12} - 20608 \, a^{10} b^{2} - 5083 \, a^{8} b^{4}\right)} c^{4} d^{8} - 28 \, {\left(448 \, a^{11} b + 393 \, a^{9} b^{3}\right)} c^{3} d^{9} - 98 \, {\left(448 \, a^{12} - 97 \, a^{10} b^{2}\right)} c^{2} d^{10}}{a^{13} c^{11}}\right)^{\frac{1}{4}} \log\left(a^{10} c^{8} \left(\frac{4116 \, a^{11} b c d^{11} + 2401 \, a^{12} d^{12} + {\left(1048576 \, a^{8} b^{4} - 1966080 \, a^{6} b^{6} + 1382400 \, a^{4} b^{8} - 432000 \, a^{2} b^{10} + 50625 \, b^{12}\right)} c^{12} - 4 \, {\left(1048576 \, a^{9} b^{3} - 1638400 \, a^{7} b^{5} + 921600 \, a^{5} b^{7} - 216000 \, a^{3} b^{9} + 16875 \, a b^{11}\right)} c^{11} d + 6 \, {\left(1048576 \, a^{10} b^{2} - 1245184 \, a^{8} b^{4} + 471040 \, a^{6} b^{6} - 52800 \, a^{4} b^{8} - 1125 \, a^{2} b^{10}\right)} c^{10} d^{2} - 4 \, {\left(1048576 \, a^{11} b - 917504 \, a^{9} b^{3} + 307200 \, a^{7} b^{5} - 83200 \, a^{5} b^{7} + 15375 \, a^{3} b^{9}\right)} c^{9} d^{3} + {\left(1048576 \, a^{12} - 2228224 \, a^{10} b^{2} + 2297856 \, a^{8} b^{4} - 874240 \, a^{6} b^{6} + 93775 \, a^{4} b^{8}\right)} c^{8} d^{4} + 24 \, {\left(98304 \, a^{11} b - 75776 \, a^{9} b^{3} + 11200 \, a^{7} b^{5} + 775 \, a^{5} b^{7}\right)} c^{7} d^{5} - 4 \, {\left(229376 \, a^{12} - 67584 \, a^{10} b^{2} + 10176 \, a^{8} b^{4} - 7895 \, a^{6} b^{6}\right)} c^{6} d^{6} - 24 \, {\left(14336 \, a^{11} b - 13184 \, a^{9} b^{3} + 2025 \, a^{7} b^{5}\right)} c^{5} d^{7} + 3 \, {\left(100352 \, a^{12} - 20608 \, a^{10} b^{2} - 5083 \, a^{8} b^{4}\right)} c^{4} d^{8} - 28 \, {\left(448 \, a^{11} b + 393 \, a^{9} b^{3}\right)} c^{3} d^{9} - 98 \, {\left(448 \, a^{12} - 97 \, a^{10} b^{2}\right)} c^{2} d^{10}}{a^{13} c^{11}}\right)^{\frac{3}{4}} + {\left(441 \, a^{8} b c d^{8} + 343 \, a^{9} d^{9} + {\left(32768 \, a^{6} b^{3} - 46080 \, a^{4} b^{5} + 21600 \, a^{2} b^{7} - 3375 \, b^{9}\right)} c^{9} - 3 \, {\left(32768 \, a^{7} b^{2} - 35840 \, a^{5} b^{4} + 12000 \, a^{3} b^{6} - 1125 \, a b^{8}\right)} c^{8} d + 12 \, {\left(8192 \, a^{8} b - 5632 \, a^{6} b^{3} + 680 \, a^{4} b^{5} + 75 \, a^{2} b^{7}\right)} c^{7} d^{2} - 4 \, {\left(8192 \, a^{9} - 4608 \, a^{7} b^{2} + 2760 \, a^{5} b^{4} - 875 \, a^{3} b^{6}\right)} c^{6} d^{3} - 6 \, {\left(5632 \, a^{8} b - 4144 \, a^{6} b^{3} + 555 \, a^{4} b^{5}\right)} c^{5} d^{4} + 6 \, {\left(3584 \, a^{9} - 592 \, a^{7} b^{2} - 205 \, a^{5} b^{4}\right)} c^{4} d^{5} + 12 \, {\left(56 \, a^{8} b - 129 \, a^{6} b^{3}\right)} c^{3} d^{6} - 84 \, {\left(56 \, a^{9} - 11 \, a^{7} b^{2}\right)} c^{2} d^{7}\right)} \left(\frac{a x + b}{c x + d}\right)^{\frac{1}{4}}\right) - 3 \, a^{3} c^{2} \left(\frac{4116 \, a^{11} b c d^{11} + 2401 \, a^{12} d^{12} + {\left(1048576 \, a^{8} b^{4} - 1966080 \, a^{6} b^{6} + 1382400 \, a^{4} b^{8} - 432000 \, a^{2} b^{10} + 50625 \, b^{12}\right)} c^{12} - 4 \, {\left(1048576 \, a^{9} b^{3} - 1638400 \, a^{7} b^{5} + 921600 \, a^{5} b^{7} - 216000 \, a^{3} b^{9} + 16875 \, a b^{11}\right)} c^{11} d + 6 \, {\left(1048576 \, a^{10} b^{2} - 1245184 \, a^{8} b^{4} + 471040 \, a^{6} b^{6} - 52800 \, a^{4} b^{8} - 1125 \, a^{2} b^{10}\right)} c^{10} d^{2} - 4 \, {\left(1048576 \, a^{11} b - 917504 \, a^{9} b^{3} + 307200 \, a^{7} b^{5} - 83200 \, a^{5} b^{7} + 15375 \, a^{3} b^{9}\right)} c^{9} d^{3} + {\left(1048576 \, a^{12} - 2228224 \, a^{10} b^{2} + 2297856 \, a^{8} b^{4} - 874240 \, a^{6} b^{6} + 93775 \, a^{4} b^{8}\right)} c^{8} d^{4} + 24 \, {\left(98304 \, a^{11} b - 75776 \, a^{9} b^{3} + 11200 \, a^{7} b^{5} + 775 \, a^{5} b^{7}\right)} c^{7} d^{5} - 4 \, {\left(229376 \, a^{12} - 67584 \, a^{10} b^{2} + 10176 \, a^{8} b^{4} - 7895 \, a^{6} b^{6}\right)} c^{6} d^{6} - 24 \, {\left(14336 \, a^{11} b - 13184 \, a^{9} b^{3} + 2025 \, a^{7} b^{5}\right)} c^{5} d^{7} + 3 \, {\left(100352 \, a^{12} - 20608 \, a^{10} b^{2} - 5083 \, a^{8} b^{4}\right)} c^{4} d^{8} - 28 \, {\left(448 \, a^{11} b + 393 \, a^{9} b^{3}\right)} c^{3} d^{9} - 98 \, {\left(448 \, a^{12} - 97 \, a^{10} b^{2}\right)} c^{2} d^{10}}{a^{13} c^{11}}\right)^{\frac{1}{4}} \log\left(-a^{10} c^{8} \left(\frac{4116 \, a^{11} b c d^{11} + 2401 \, a^{12} d^{12} + {\left(1048576 \, a^{8} b^{4} - 1966080 \, a^{6} b^{6} + 1382400 \, a^{4} b^{8} - 432000 \, a^{2} b^{10} + 50625 \, b^{12}\right)} c^{12} - 4 \, {\left(1048576 \, a^{9} b^{3} - 1638400 \, a^{7} b^{5} + 921600 \, a^{5} b^{7} - 216000 \, a^{3} b^{9} + 16875 \, a b^{11}\right)} c^{11} d + 6 \, {\left(1048576 \, a^{10} b^{2} - 1245184 \, a^{8} b^{4} + 471040 \, a^{6} b^{6} - 52800 \, a^{4} b^{8} - 1125 \, a^{2} b^{10}\right)} c^{10} d^{2} - 4 \, {\left(1048576 \, a^{11} b - 917504 \, a^{9} b^{3} + 307200 \, a^{7} b^{5} - 83200 \, a^{5} b^{7} + 15375 \, a^{3} b^{9}\right)} c^{9} d^{3} + {\left(1048576 \, a^{12} - 2228224 \, a^{10} b^{2} + 2297856 \, a^{8} b^{4} - 874240 \, a^{6} b^{6} + 93775 \, a^{4} b^{8}\right)} c^{8} d^{4} + 24 \, {\left(98304 \, a^{11} b - 75776 \, a^{9} b^{3} + 11200 \, a^{7} b^{5} + 775 \, a^{5} b^{7}\right)} c^{7} d^{5} - 4 \, {\left(229376 \, a^{12} - 67584 \, a^{10} b^{2} + 10176 \, a^{8} b^{4} - 7895 \, a^{6} b^{6}\right)} c^{6} d^{6} - 24 \, {\left(14336 \, a^{11} b - 13184 \, a^{9} b^{3} + 2025 \, a^{7} b^{5}\right)} c^{5} d^{7} + 3 \, {\left(100352 \, a^{12} - 20608 \, a^{10} b^{2} - 5083 \, a^{8} b^{4}\right)} c^{4} d^{8} - 28 \, {\left(448 \, a^{11} b + 393 \, a^{9} b^{3}\right)} c^{3} d^{9} - 98 \, {\left(448 \, a^{12} - 97 \, a^{10} b^{2}\right)} c^{2} d^{10}}{a^{13} c^{11}}\right)^{\frac{3}{4}} + {\left(441 \, a^{8} b c d^{8} + 343 \, a^{9} d^{9} + {\left(32768 \, a^{6} b^{3} - 46080 \, a^{4} b^{5} + 21600 \, a^{2} b^{7} - 3375 \, b^{9}\right)} c^{9} - 3 \, {\left(32768 \, a^{7} b^{2} - 35840 \, a^{5} b^{4} + 12000 \, a^{3} b^{6} - 1125 \, a b^{8}\right)} c^{8} d + 12 \, {\left(8192 \, a^{8} b - 5632 \, a^{6} b^{3} + 680 \, a^{4} b^{5} + 75 \, a^{2} b^{7}\right)} c^{7} d^{2} - 4 \, {\left(8192 \, a^{9} - 4608 \, a^{7} b^{2} + 2760 \, a^{5} b^{4} - 875 \, a^{3} b^{6}\right)} c^{6} d^{3} - 6 \, {\left(5632 \, a^{8} b - 4144 \, a^{6} b^{3} + 555 \, a^{4} b^{5}\right)} c^{5} d^{4} + 6 \, {\left(3584 \, a^{9} - 592 \, a^{7} b^{2} - 205 \, a^{5} b^{4}\right)} c^{4} d^{5} + 12 \, {\left(56 \, a^{8} b - 129 \, a^{6} b^{3}\right)} c^{3} d^{6} - 84 \, {\left(56 \, a^{9} - 11 \, a^{7} b^{2}\right)} c^{2} d^{7}\right)} \left(\frac{a x + b}{c x + d}\right)^{\frac{1}{4}}\right) + 4 \, {\left(32 \, a^{2} c^{3} x^{3} - 6 \, a b c d^{2} - 7 \, a^{2} d^{3} - 3 \, {\left(32 \, a^{2} - 15 \, b^{2}\right)} c^{2} d - 36 \, {\left(a b c^{3} - a^{2} c^{2} d\right)} x^{2} - 3 \, {\left(14 \, a b c^{2} d + a^{2} c d^{2} + {\left(32 \, a^{2} - 15 \, b^{2}\right)} c^{3}\right)} x\right)} \left(\frac{a x + b}{c x + d}\right)^{\frac{3}{4}}}{384 \, a^{3} c^{2}}"," ",0,"1/384*(12*a^3*c^2*((4116*a^11*b*c*d^11 + 2401*a^12*d^12 + (1048576*a^8*b^4 - 1966080*a^6*b^6 + 1382400*a^4*b^8 - 432000*a^2*b^10 + 50625*b^12)*c^12 - 4*(1048576*a^9*b^3 - 1638400*a^7*b^5 + 921600*a^5*b^7 - 216000*a^3*b^9 + 16875*a*b^11)*c^11*d + 6*(1048576*a^10*b^2 - 1245184*a^8*b^4 + 471040*a^6*b^6 - 52800*a^4*b^8 - 1125*a^2*b^10)*c^10*d^2 - 4*(1048576*a^11*b - 917504*a^9*b^3 + 307200*a^7*b^5 - 83200*a^5*b^7 + 15375*a^3*b^9)*c^9*d^3 + (1048576*a^12 - 2228224*a^10*b^2 + 2297856*a^8*b^4 - 874240*a^6*b^6 + 93775*a^4*b^8)*c^8*d^4 + 24*(98304*a^11*b - 75776*a^9*b^3 + 11200*a^7*b^5 + 775*a^5*b^7)*c^7*d^5 - 4*(229376*a^12 - 67584*a^10*b^2 + 10176*a^8*b^4 - 7895*a^6*b^6)*c^6*d^6 - 24*(14336*a^11*b - 13184*a^9*b^3 + 2025*a^7*b^5)*c^5*d^7 + 3*(100352*a^12 - 20608*a^10*b^2 - 5083*a^8*b^4)*c^4*d^8 - 28*(448*a^11*b + 393*a^9*b^3)*c^3*d^9 - 98*(448*a^12 - 97*a^10*b^2)*c^2*d^10)/(a^13*c^11))^(1/4)*arctan((sqrt((302526*a^17*b*c*d^17 + 117649*a^18*d^18 + (1073741824*a^12*b^6 - 3019898880*a^10*b^8 + 3538944000*a^8*b^10 - 2211840000*a^6*b^12 + 777600000*a^4*b^14 - 145800000*a^2*b^16 + 11390625*b^18)*c^18 - 6*(1073741824*a^13*b^5 - 2684354560*a^11*b^7 + 2752512000*a^9*b^9 - 1474560000*a^7*b^11 + 432000000*a^5*b^13 - 64800000*a^3*b^15 + 3796875*a*b^17)*c^17*d + 3*(5368709120*a^14*b^4 - 11542724608*a^12*b^6 + 9882828800*a^10*b^8 - 4227072000*a^8*b^10 + 915840000*a^6*b^12 - 86400000*a^4*b^14 + 1771875*a^2*b^16)*c^16*d^2 - 16*(1342177280*a^15*b^3 - 2415919104*a^13*b^5 + 1690828800*a^11*b^7 - 585728000*a^9*b^9 + 110880000*a^7*b^11 - 13500000*a^5*b^13 + 1096875*a^3*b^15)*c^15*d^3 + 60*(268435456*a^16*b^2 - 436207616*a^14*b^4 + 323485696*a^12*b^6 - 158433280*a^10*b^8 + 53766400*a^8*b^10 - 10392000*a^6*b^12 + 781875*a^4*b^14)*c^14*d^4 - 24*(268435456*a^17*b - 671088640*a^15*b^3 + 815267840*a^13*b^5 - 501350400*a^11*b^7 + 147488000*a^9*b^9 - 17320000*a^7*b^11 + 328125*a^5*b^13)*c^13*d^5 + 4*(268435456*a^18 - 3019898880*a^16*b^2 + 3971481600*a^14*b^4 - 1859256320*a^12*b^6 + 338515200*a^10*b^8 - 23424000*a^8*b^10 + 2100625*a^6*b^12)*c^12*d^6 + 48*(134217728*a^17*b - 144179200*a^15*b^3 + 71106560*a^13*b^5 - 29811200*a^11*b^7 + 8516000*a^9*b^9 - 879375*a^7*b^11)*c^11*d^7 - 6*(234881024*a^18 - 537395200*a^16*b^2 + 627507200*a^14*b^4 - 290639360*a^12*b^6 + 44430400*a^10*b^8 - 492125*a^8*b^10)*c^10*d^8 - 20*(121110528*a^17*b - 109445120*a^15*b^3 + 22353408*a^13*b^5 + 447360*a^11*b^7 + 15975*a^9*b^9)*c^9*d^9 + 6*(128450560*a^18 - 68812800*a^16*b^2 + 41638400*a^14*b^4 - 23924224*a^12*b^6 + 3566605*a^10*b^8)*c^8*d^10 + 48*(8028160*a^17*b - 8288000*a^15*b^3 + 1718368*a^13*b^5 + 28305*a^11*b^7)*c^7*d^11 - 4*(56197120*a^18 - 14112000*a^16*b^2 - 4320960*a^14*b^4 + 103199*a^12*b^6)*c^6*d^12 - 168*(62720*a^17*b - 176960*a^15*b^3 + 37083*a^13*b^5)*c^5*d^13 + 2940*(12544*a^18 - 3584*a^16*b^2 - 461*a^14*b^4)*c^4*d^14 - 16464*(224*a^17*b + 15*a^15*b^3)*c^3*d^15 - 7203*(448*a^18 - 115*a^16*b^2)*c^2*d^16)*sqrt((a*x + b)/(c*x + d)) + (4116*a^18*b*c^6*d^11 + 2401*a^19*c^5*d^12 + (1048576*a^15*b^4 - 1966080*a^13*b^6 + 1382400*a^11*b^8 - 432000*a^9*b^10 + 50625*a^7*b^12)*c^17 - 4*(1048576*a^16*b^3 - 1638400*a^14*b^5 + 921600*a^12*b^7 - 216000*a^10*b^9 + 16875*a^8*b^11)*c^16*d + 6*(1048576*a^17*b^2 - 1245184*a^15*b^4 + 471040*a^13*b^6 - 52800*a^11*b^8 - 1125*a^9*b^10)*c^15*d^2 - 4*(1048576*a^18*b - 917504*a^16*b^3 + 307200*a^14*b^5 - 83200*a^12*b^7 + 15375*a^10*b^9)*c^14*d^3 + (1048576*a^19 - 2228224*a^17*b^2 + 2297856*a^15*b^4 - 874240*a^13*b^6 + 93775*a^11*b^8)*c^13*d^4 + 24*(98304*a^18*b - 75776*a^16*b^3 + 11200*a^14*b^5 + 775*a^12*b^7)*c^12*d^5 - 4*(229376*a^19 - 67584*a^17*b^2 + 10176*a^15*b^4 - 7895*a^13*b^6)*c^11*d^6 - 24*(14336*a^18*b - 13184*a^16*b^3 + 2025*a^14*b^5)*c^10*d^7 + 3*(100352*a^19 - 20608*a^17*b^2 - 5083*a^15*b^4)*c^9*d^8 - 28*(448*a^18*b + 393*a^16*b^3)*c^8*d^9 - 98*(448*a^19 - 97*a^17*b^2)*c^7*d^10)*sqrt((4116*a^11*b*c*d^11 + 2401*a^12*d^12 + (1048576*a^8*b^4 - 1966080*a^6*b^6 + 1382400*a^4*b^8 - 432000*a^2*b^10 + 50625*b^12)*c^12 - 4*(1048576*a^9*b^3 - 1638400*a^7*b^5 + 921600*a^5*b^7 - 216000*a^3*b^9 + 16875*a*b^11)*c^11*d + 6*(1048576*a^10*b^2 - 1245184*a^8*b^4 + 471040*a^6*b^6 - 52800*a^4*b^8 - 1125*a^2*b^10)*c^10*d^2 - 4*(1048576*a^11*b - 917504*a^9*b^3 + 307200*a^7*b^5 - 83200*a^5*b^7 + 15375*a^3*b^9)*c^9*d^3 + (1048576*a^12 - 2228224*a^10*b^2 + 2297856*a^8*b^4 - 874240*a^6*b^6 + 93775*a^4*b^8)*c^8*d^4 + 24*(98304*a^11*b - 75776*a^9*b^3 + 11200*a^7*b^5 + 775*a^5*b^7)*c^7*d^5 - 4*(229376*a^12 - 67584*a^10*b^2 + 10176*a^8*b^4 - 7895*a^6*b^6)*c^6*d^6 - 24*(14336*a^11*b - 13184*a^9*b^3 + 2025*a^7*b^5)*c^5*d^7 + 3*(100352*a^12 - 20608*a^10*b^2 - 5083*a^8*b^4)*c^4*d^8 - 28*(448*a^11*b + 393*a^9*b^3)*c^3*d^9 - 98*(448*a^12 - 97*a^10*b^2)*c^2*d^10)/(a^13*c^11)))*a^3*c^3*((4116*a^11*b*c*d^11 + 2401*a^12*d^12 + (1048576*a^8*b^4 - 1966080*a^6*b^6 + 1382400*a^4*b^8 - 432000*a^2*b^10 + 50625*b^12)*c^12 - 4*(1048576*a^9*b^3 - 1638400*a^7*b^5 + 921600*a^5*b^7 - 216000*a^3*b^9 + 16875*a*b^11)*c^11*d + 6*(1048576*a^10*b^2 - 1245184*a^8*b^4 + 471040*a^6*b^6 - 52800*a^4*b^8 - 1125*a^2*b^10)*c^10*d^2 - 4*(1048576*a^11*b - 917504*a^9*b^3 + 307200*a^7*b^5 - 83200*a^5*b^7 + 15375*a^3*b^9)*c^9*d^3 + (1048576*a^12 - 2228224*a^10*b^2 + 2297856*a^8*b^4 - 874240*a^6*b^6 + 93775*a^4*b^8)*c^8*d^4 + 24*(98304*a^11*b - 75776*a^9*b^3 + 11200*a^7*b^5 + 775*a^5*b^7)*c^7*d^5 - 4*(229376*a^12 - 67584*a^10*b^2 + 10176*a^8*b^4 - 7895*a^6*b^6)*c^6*d^6 - 24*(14336*a^11*b - 13184*a^9*b^3 + 2025*a^7*b^5)*c^5*d^7 + 3*(100352*a^12 - 20608*a^10*b^2 - 5083*a^8*b^4)*c^4*d^8 - 28*(448*a^11*b + 393*a^9*b^3)*c^3*d^9 - 98*(448*a^12 - 97*a^10*b^2)*c^2*d^10)/(a^13*c^11))^(1/4) - (441*a^11*b*c^4*d^8 + 343*a^12*c^3*d^9 + (32768*a^9*b^3 - 46080*a^7*b^5 + 21600*a^5*b^7 - 3375*a^3*b^9)*c^12 - 3*(32768*a^10*b^2 - 35840*a^8*b^4 + 12000*a^6*b^6 - 1125*a^4*b^8)*c^11*d + 12*(8192*a^11*b - 5632*a^9*b^3 + 680*a^7*b^5 + 75*a^5*b^7)*c^10*d^2 - 4*(8192*a^12 - 4608*a^10*b^2 + 2760*a^8*b^4 - 875*a^6*b^6)*c^9*d^3 - 6*(5632*a^11*b - 4144*a^9*b^3 + 555*a^7*b^5)*c^8*d^4 + 6*(3584*a^12 - 592*a^10*b^2 - 205*a^8*b^4)*c^7*d^5 + 12*(56*a^11*b - 129*a^9*b^3)*c^6*d^6 - 84*(56*a^12 - 11*a^10*b^2)*c^5*d^7)*((a*x + b)/(c*x + d))^(1/4)*((4116*a^11*b*c*d^11 + 2401*a^12*d^12 + (1048576*a^8*b^4 - 1966080*a^6*b^6 + 1382400*a^4*b^8 - 432000*a^2*b^10 + 50625*b^12)*c^12 - 4*(1048576*a^9*b^3 - 1638400*a^7*b^5 + 921600*a^5*b^7 - 216000*a^3*b^9 + 16875*a*b^11)*c^11*d + 6*(1048576*a^10*b^2 - 1245184*a^8*b^4 + 471040*a^6*b^6 - 52800*a^4*b^8 - 1125*a^2*b^10)*c^10*d^2 - 4*(1048576*a^11*b - 917504*a^9*b^3 + 307200*a^7*b^5 - 83200*a^5*b^7 + 15375*a^3*b^9)*c^9*d^3 + (1048576*a^12 - 2228224*a^10*b^2 + 2297856*a^8*b^4 - 874240*a^6*b^6 + 93775*a^4*b^8)*c^8*d^4 + 24*(98304*a^11*b - 75776*a^9*b^3 + 11200*a^7*b^5 + 775*a^5*b^7)*c^7*d^5 - 4*(229376*a^12 - 67584*a^10*b^2 + 10176*a^8*b^4 - 7895*a^6*b^6)*c^6*d^6 - 24*(14336*a^11*b - 13184*a^9*b^3 + 2025*a^7*b^5)*c^5*d^7 + 3*(100352*a^12 - 20608*a^10*b^2 - 5083*a^8*b^4)*c^4*d^8 - 28*(448*a^11*b + 393*a^9*b^3)*c^3*d^9 - 98*(448*a^12 - 97*a^10*b^2)*c^2*d^10)/(a^13*c^11))^(1/4))/(4116*a^11*b*c*d^11 + 2401*a^12*d^12 + (1048576*a^8*b^4 - 1966080*a^6*b^6 + 1382400*a^4*b^8 - 432000*a^2*b^10 + 50625*b^12)*c^12 - 4*(1048576*a^9*b^3 - 1638400*a^7*b^5 + 921600*a^5*b^7 - 216000*a^3*b^9 + 16875*a*b^11)*c^11*d + 6*(1048576*a^10*b^2 - 1245184*a^8*b^4 + 471040*a^6*b^6 - 52800*a^4*b^8 - 1125*a^2*b^10)*c^10*d^2 - 4*(1048576*a^11*b - 917504*a^9*b^3 + 307200*a^7*b^5 - 83200*a^5*b^7 + 15375*a^3*b^9)*c^9*d^3 + (1048576*a^12 - 2228224*a^10*b^2 + 2297856*a^8*b^4 - 874240*a^6*b^6 + 93775*a^4*b^8)*c^8*d^4 + 24*(98304*a^11*b - 75776*a^9*b^3 + 11200*a^7*b^5 + 775*a^5*b^7)*c^7*d^5 - 4*(229376*a^12 - 67584*a^10*b^2 + 10176*a^8*b^4 - 7895*a^6*b^6)*c^6*d^6 - 24*(14336*a^11*b - 13184*a^9*b^3 + 2025*a^7*b^5)*c^5*d^7 + 3*(100352*a^12 - 20608*a^10*b^2 - 5083*a^8*b^4)*c^4*d^8 - 28*(448*a^11*b + 393*a^9*b^3)*c^3*d^9 - 98*(448*a^12 - 97*a^10*b^2)*c^2*d^10)) + 3*a^3*c^2*((4116*a^11*b*c*d^11 + 2401*a^12*d^12 + (1048576*a^8*b^4 - 1966080*a^6*b^6 + 1382400*a^4*b^8 - 432000*a^2*b^10 + 50625*b^12)*c^12 - 4*(1048576*a^9*b^3 - 1638400*a^7*b^5 + 921600*a^5*b^7 - 216000*a^3*b^9 + 16875*a*b^11)*c^11*d + 6*(1048576*a^10*b^2 - 1245184*a^8*b^4 + 471040*a^6*b^6 - 52800*a^4*b^8 - 1125*a^2*b^10)*c^10*d^2 - 4*(1048576*a^11*b - 917504*a^9*b^3 + 307200*a^7*b^5 - 83200*a^5*b^7 + 15375*a^3*b^9)*c^9*d^3 + (1048576*a^12 - 2228224*a^10*b^2 + 2297856*a^8*b^4 - 874240*a^6*b^6 + 93775*a^4*b^8)*c^8*d^4 + 24*(98304*a^11*b - 75776*a^9*b^3 + 11200*a^7*b^5 + 775*a^5*b^7)*c^7*d^5 - 4*(229376*a^12 - 67584*a^10*b^2 + 10176*a^8*b^4 - 7895*a^6*b^6)*c^6*d^6 - 24*(14336*a^11*b - 13184*a^9*b^3 + 2025*a^7*b^5)*c^5*d^7 + 3*(100352*a^12 - 20608*a^10*b^2 - 5083*a^8*b^4)*c^4*d^8 - 28*(448*a^11*b + 393*a^9*b^3)*c^3*d^9 - 98*(448*a^12 - 97*a^10*b^2)*c^2*d^10)/(a^13*c^11))^(1/4)*log(a^10*c^8*((4116*a^11*b*c*d^11 + 2401*a^12*d^12 + (1048576*a^8*b^4 - 1966080*a^6*b^6 + 1382400*a^4*b^8 - 432000*a^2*b^10 + 50625*b^12)*c^12 - 4*(1048576*a^9*b^3 - 1638400*a^7*b^5 + 921600*a^5*b^7 - 216000*a^3*b^9 + 16875*a*b^11)*c^11*d + 6*(1048576*a^10*b^2 - 1245184*a^8*b^4 + 471040*a^6*b^6 - 52800*a^4*b^8 - 1125*a^2*b^10)*c^10*d^2 - 4*(1048576*a^11*b - 917504*a^9*b^3 + 307200*a^7*b^5 - 83200*a^5*b^7 + 15375*a^3*b^9)*c^9*d^3 + (1048576*a^12 - 2228224*a^10*b^2 + 2297856*a^8*b^4 - 874240*a^6*b^6 + 93775*a^4*b^8)*c^8*d^4 + 24*(98304*a^11*b - 75776*a^9*b^3 + 11200*a^7*b^5 + 775*a^5*b^7)*c^7*d^5 - 4*(229376*a^12 - 67584*a^10*b^2 + 10176*a^8*b^4 - 7895*a^6*b^6)*c^6*d^6 - 24*(14336*a^11*b - 13184*a^9*b^3 + 2025*a^7*b^5)*c^5*d^7 + 3*(100352*a^12 - 20608*a^10*b^2 - 5083*a^8*b^4)*c^4*d^8 - 28*(448*a^11*b + 393*a^9*b^3)*c^3*d^9 - 98*(448*a^12 - 97*a^10*b^2)*c^2*d^10)/(a^13*c^11))^(3/4) + (441*a^8*b*c*d^8 + 343*a^9*d^9 + (32768*a^6*b^3 - 46080*a^4*b^5 + 21600*a^2*b^7 - 3375*b^9)*c^9 - 3*(32768*a^7*b^2 - 35840*a^5*b^4 + 12000*a^3*b^6 - 1125*a*b^8)*c^8*d + 12*(8192*a^8*b - 5632*a^6*b^3 + 680*a^4*b^5 + 75*a^2*b^7)*c^7*d^2 - 4*(8192*a^9 - 4608*a^7*b^2 + 2760*a^5*b^4 - 875*a^3*b^6)*c^6*d^3 - 6*(5632*a^8*b - 4144*a^6*b^3 + 555*a^4*b^5)*c^5*d^4 + 6*(3584*a^9 - 592*a^7*b^2 - 205*a^5*b^4)*c^4*d^5 + 12*(56*a^8*b - 129*a^6*b^3)*c^3*d^6 - 84*(56*a^9 - 11*a^7*b^2)*c^2*d^7)*((a*x + b)/(c*x + d))^(1/4)) - 3*a^3*c^2*((4116*a^11*b*c*d^11 + 2401*a^12*d^12 + (1048576*a^8*b^4 - 1966080*a^6*b^6 + 1382400*a^4*b^8 - 432000*a^2*b^10 + 50625*b^12)*c^12 - 4*(1048576*a^9*b^3 - 1638400*a^7*b^5 + 921600*a^5*b^7 - 216000*a^3*b^9 + 16875*a*b^11)*c^11*d + 6*(1048576*a^10*b^2 - 1245184*a^8*b^4 + 471040*a^6*b^6 - 52800*a^4*b^8 - 1125*a^2*b^10)*c^10*d^2 - 4*(1048576*a^11*b - 917504*a^9*b^3 + 307200*a^7*b^5 - 83200*a^5*b^7 + 15375*a^3*b^9)*c^9*d^3 + (1048576*a^12 - 2228224*a^10*b^2 + 2297856*a^8*b^4 - 874240*a^6*b^6 + 93775*a^4*b^8)*c^8*d^4 + 24*(98304*a^11*b - 75776*a^9*b^3 + 11200*a^7*b^5 + 775*a^5*b^7)*c^7*d^5 - 4*(229376*a^12 - 67584*a^10*b^2 + 10176*a^8*b^4 - 7895*a^6*b^6)*c^6*d^6 - 24*(14336*a^11*b - 13184*a^9*b^3 + 2025*a^7*b^5)*c^5*d^7 + 3*(100352*a^12 - 20608*a^10*b^2 - 5083*a^8*b^4)*c^4*d^8 - 28*(448*a^11*b + 393*a^9*b^3)*c^3*d^9 - 98*(448*a^12 - 97*a^10*b^2)*c^2*d^10)/(a^13*c^11))^(1/4)*log(-a^10*c^8*((4116*a^11*b*c*d^11 + 2401*a^12*d^12 + (1048576*a^8*b^4 - 1966080*a^6*b^6 + 1382400*a^4*b^8 - 432000*a^2*b^10 + 50625*b^12)*c^12 - 4*(1048576*a^9*b^3 - 1638400*a^7*b^5 + 921600*a^5*b^7 - 216000*a^3*b^9 + 16875*a*b^11)*c^11*d + 6*(1048576*a^10*b^2 - 1245184*a^8*b^4 + 471040*a^6*b^6 - 52800*a^4*b^8 - 1125*a^2*b^10)*c^10*d^2 - 4*(1048576*a^11*b - 917504*a^9*b^3 + 307200*a^7*b^5 - 83200*a^5*b^7 + 15375*a^3*b^9)*c^9*d^3 + (1048576*a^12 - 2228224*a^10*b^2 + 2297856*a^8*b^4 - 874240*a^6*b^6 + 93775*a^4*b^8)*c^8*d^4 + 24*(98304*a^11*b - 75776*a^9*b^3 + 11200*a^7*b^5 + 775*a^5*b^7)*c^7*d^5 - 4*(229376*a^12 - 67584*a^10*b^2 + 10176*a^8*b^4 - 7895*a^6*b^6)*c^6*d^6 - 24*(14336*a^11*b - 13184*a^9*b^3 + 2025*a^7*b^5)*c^5*d^7 + 3*(100352*a^12 - 20608*a^10*b^2 - 5083*a^8*b^4)*c^4*d^8 - 28*(448*a^11*b + 393*a^9*b^3)*c^3*d^9 - 98*(448*a^12 - 97*a^10*b^2)*c^2*d^10)/(a^13*c^11))^(3/4) + (441*a^8*b*c*d^8 + 343*a^9*d^9 + (32768*a^6*b^3 - 46080*a^4*b^5 + 21600*a^2*b^7 - 3375*b^9)*c^9 - 3*(32768*a^7*b^2 - 35840*a^5*b^4 + 12000*a^3*b^6 - 1125*a*b^8)*c^8*d + 12*(8192*a^8*b - 5632*a^6*b^3 + 680*a^4*b^5 + 75*a^2*b^7)*c^7*d^2 - 4*(8192*a^9 - 4608*a^7*b^2 + 2760*a^5*b^4 - 875*a^3*b^6)*c^6*d^3 - 6*(5632*a^8*b - 4144*a^6*b^3 + 555*a^4*b^5)*c^5*d^4 + 6*(3584*a^9 - 592*a^7*b^2 - 205*a^5*b^4)*c^4*d^5 + 12*(56*a^8*b - 129*a^6*b^3)*c^3*d^6 - 84*(56*a^9 - 11*a^7*b^2)*c^2*d^7)*((a*x + b)/(c*x + d))^(1/4)) + 4*(32*a^2*c^3*x^3 - 6*a*b*c*d^2 - 7*a^2*d^3 - 3*(32*a^2 - 15*b^2)*c^2*d - 36*(a*b*c^3 - a^2*c^2*d)*x^2 - 3*(14*a*b*c^2*d + a^2*c*d^2 + (32*a^2 - 15*b^2)*c^3)*x)*((a*x + b)/(c*x + d))^(3/4))/(a^3*c^2)","B",0
2915,1,51,0,0.585832," ","integrate((a*x^4-b)/(a*x^4+b)^(1/2)/(a*x^4-c^2*x^2+b),x, algorithm=""fricas"")","\frac{\log\left(\frac{a x^{4} + c^{2} x^{2} - 2 \, \sqrt{a x^{4} + b} c x + b}{a x^{4} - c^{2} x^{2} + b}\right)}{2 \, c}"," ",0,"1/2*log((a*x^4 + c^2*x^2 - 2*sqrt(a*x^4 + b)*c*x + b)/(a*x^4 - c^2*x^2 + b))/c","A",0
2916,1,305,0,0.490845," ","integrate((x^2+1)*(x^6+x^4-x^2-1)^(1/3)/x,x, algorithm=""fricas"")","-\frac{1}{18} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(x^{2} + 1\right)} + 2 \, \sqrt{3} {\left(x^{6} + x^{4} - x^{2} - 1\right)}^{\frac{1}{3}}}{3 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{2} \, \sqrt{3} \arctan\left(-\frac{\sqrt{3} {\left(x^{2} + 1\right)} - 2 \, \sqrt{3} {\left(x^{6} + x^{4} - x^{2} - 1\right)}^{\frac{1}{3}}}{3 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{12} \, {\left(x^{6} + x^{4} - x^{2} - 1\right)}^{\frac{1}{3}} {\left(3 \, x^{2} + 7\right)} - \frac{1}{36} \, \log\left(\frac{x^{4} + 2 \, x^{2} + {\left(x^{6} + x^{4} - x^{2} - 1\right)}^{\frac{1}{3}} {\left(x^{2} + 1\right)} + {\left(x^{6} + x^{4} - x^{2} - 1\right)}^{\frac{2}{3}} + 1}{x^{4} + 2 \, x^{2} + 1}\right) + \frac{1}{4} \, \log\left(\frac{x^{4} + 2 \, x^{2} - {\left(x^{6} + x^{4} - x^{2} - 1\right)}^{\frac{1}{3}} {\left(x^{2} + 1\right)} + {\left(x^{6} + x^{4} - x^{2} - 1\right)}^{\frac{2}{3}} + 1}{x^{4} + 2 \, x^{2} + 1}\right) - \frac{1}{2} \, \log\left(\frac{x^{2} + {\left(x^{6} + x^{4} - x^{2} - 1\right)}^{\frac{1}{3}} + 1}{x^{2} + 1}\right) + \frac{1}{18} \, \log\left(-\frac{x^{2} - {\left(x^{6} + x^{4} - x^{2} - 1\right)}^{\frac{1}{3}} + 1}{x^{2} + 1}\right)"," ",0,"-1/18*sqrt(3)*arctan(1/3*(sqrt(3)*(x^2 + 1) + 2*sqrt(3)*(x^6 + x^4 - x^2 - 1)^(1/3))/(x^2 + 1)) - 1/2*sqrt(3)*arctan(-1/3*(sqrt(3)*(x^2 + 1) - 2*sqrt(3)*(x^6 + x^4 - x^2 - 1)^(1/3))/(x^2 + 1)) + 1/12*(x^6 + x^4 - x^2 - 1)^(1/3)*(3*x^2 + 7) - 1/36*log((x^4 + 2*x^2 + (x^6 + x^4 - x^2 - 1)^(1/3)*(x^2 + 1) + (x^6 + x^4 - x^2 - 1)^(2/3) + 1)/(x^4 + 2*x^2 + 1)) + 1/4*log((x^4 + 2*x^2 - (x^6 + x^4 - x^2 - 1)^(1/3)*(x^2 + 1) + (x^6 + x^4 - x^2 - 1)^(2/3) + 1)/(x^4 + 2*x^2 + 1)) - 1/2*log((x^2 + (x^6 + x^4 - x^2 - 1)^(1/3) + 1)/(x^2 + 1)) + 1/18*log(-(x^2 - (x^6 + x^4 - x^2 - 1)^(1/3) + 1)/(x^2 + 1))","A",0
2917,-1,0,0,0.000000," ","integrate((-a/b^2+a^2*x^2/b^2)^(1/2)*(a*x^2+b*x*(-a/b^2+a^2*x^2/b^2)^(1/2))^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2918,-1,0,0,0.000000," ","integrate((a*x^2-b)/(c*x^2-d)/(x^3-x)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2919,-1,0,0,0.000000," ","integrate(1/(a*x+b)/(a^3*x^3-b^3)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2920,1,596,0,8.612130," ","integrate((a^12*x^12-b^12)/(a^4*x^4+b^4)^(1/2)/(a^12*x^12+b^12),x, algorithm=""fricas"")","-\frac{4 \, \left(\frac{1}{3}\right)^{\frac{1}{4}} {\left(a^{4} x^{4} + b^{4}\right)} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{1}{4}} \arctan\left(\frac{3 \, {\left(2 \, {\left(\left(\frac{1}{3}\right)^{\frac{1}{4}} a^{4} b^{4} x^{3} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{1}{4}} + \left(\frac{1}{3}\right)^{\frac{3}{4}} {\left(a^{8} b^{4} x^{5} + a^{4} b^{8} x\right)} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{3}{4}}\right)} \sqrt{a^{4} x^{4} + b^{4}} + {\left(\left(\frac{1}{3}\right)^{\frac{3}{4}} {\left(a^{12} b^{4} x^{8} + 5 \, a^{8} b^{8} x^{4} + a^{4} b^{12}\right)} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{3}{4}} + 2 \, \left(\frac{1}{3}\right)^{\frac{1}{4}} {\left(a^{8} b^{4} x^{6} + a^{4} b^{8} x^{2}\right)} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{1}{4}}\right)} \sqrt{\sqrt{\frac{1}{3}} \sqrt{\frac{1}{a^{4} b^{4}}}}\right)}}{a^{8} x^{8} - a^{4} b^{4} x^{4} + b^{8}}\right) + \left(\frac{1}{3}\right)^{\frac{1}{4}} {\left(a^{4} x^{4} + b^{4}\right)} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{1}{4}} \log\left(-\frac{6 \, \left(\frac{1}{3}\right)^{\frac{3}{4}} {\left(a^{8} b^{4} x^{6} + a^{4} b^{8} x^{2}\right)} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{3}{4}} + 2 \, {\left(3 \, \sqrt{\frac{1}{3}} a^{4} b^{4} x^{3} \sqrt{\frac{1}{a^{4} b^{4}}} + a^{4} x^{5} + b^{4} x\right)} \sqrt{a^{4} x^{4} + b^{4}} + \left(\frac{1}{3}\right)^{\frac{1}{4}} {\left(a^{8} x^{8} + 5 \, a^{4} b^{4} x^{4} + b^{8}\right)} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{1}{4}}}{2 \, {\left(a^{8} x^{8} - a^{4} b^{4} x^{4} + b^{8}\right)}}\right) - \left(\frac{1}{3}\right)^{\frac{1}{4}} {\left(a^{4} x^{4} + b^{4}\right)} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{1}{4}} \log\left(\frac{6 \, \left(\frac{1}{3}\right)^{\frac{3}{4}} {\left(a^{8} b^{4} x^{6} + a^{4} b^{8} x^{2}\right)} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{3}{4}} - 2 \, {\left(3 \, \sqrt{\frac{1}{3}} a^{4} b^{4} x^{3} \sqrt{\frac{1}{a^{4} b^{4}}} + a^{4} x^{5} + b^{4} x\right)} \sqrt{a^{4} x^{4} + b^{4}} + \left(\frac{1}{3}\right)^{\frac{1}{4}} {\left(a^{8} x^{8} + 5 \, a^{4} b^{4} x^{4} + b^{8}\right)} \left(\frac{1}{a^{4} b^{4}}\right)^{\frac{1}{4}}}{2 \, {\left(a^{8} x^{8} - a^{4} b^{4} x^{4} + b^{8}\right)}}\right) + 4 \, \sqrt{a^{4} x^{4} + b^{4}} x}{12 \, {\left(a^{4} x^{4} + b^{4}\right)}}"," ",0,"-1/12*(4*(1/3)^(1/4)*(a^4*x^4 + b^4)*(1/(a^4*b^4))^(1/4)*arctan(3*(2*((1/3)^(1/4)*a^4*b^4*x^3*(1/(a^4*b^4))^(1/4) + (1/3)^(3/4)*(a^8*b^4*x^5 + a^4*b^8*x)*(1/(a^4*b^4))^(3/4))*sqrt(a^4*x^4 + b^4) + ((1/3)^(3/4)*(a^12*b^4*x^8 + 5*a^8*b^8*x^4 + a^4*b^12)*(1/(a^4*b^4))^(3/4) + 2*(1/3)^(1/4)*(a^8*b^4*x^6 + a^4*b^8*x^2)*(1/(a^4*b^4))^(1/4))*sqrt(sqrt(1/3)*sqrt(1/(a^4*b^4))))/(a^8*x^8 - a^4*b^4*x^4 + b^8)) + (1/3)^(1/4)*(a^4*x^4 + b^4)*(1/(a^4*b^4))^(1/4)*log(-1/2*(6*(1/3)^(3/4)*(a^8*b^4*x^6 + a^4*b^8*x^2)*(1/(a^4*b^4))^(3/4) + 2*(3*sqrt(1/3)*a^4*b^4*x^3*sqrt(1/(a^4*b^4)) + a^4*x^5 + b^4*x)*sqrt(a^4*x^4 + b^4) + (1/3)^(1/4)*(a^8*x^8 + 5*a^4*b^4*x^4 + b^8)*(1/(a^4*b^4))^(1/4))/(a^8*x^8 - a^4*b^4*x^4 + b^8)) - (1/3)^(1/4)*(a^4*x^4 + b^4)*(1/(a^4*b^4))^(1/4)*log(1/2*(6*(1/3)^(3/4)*(a^8*b^4*x^6 + a^4*b^8*x^2)*(1/(a^4*b^4))^(3/4) - 2*(3*sqrt(1/3)*a^4*b^4*x^3*sqrt(1/(a^4*b^4)) + a^4*x^5 + b^4*x)*sqrt(a^4*x^4 + b^4) + (1/3)^(1/4)*(a^8*x^8 + 5*a^4*b^4*x^4 + b^8)*(1/(a^4*b^4))^(1/4))/(a^8*x^8 - a^4*b^4*x^4 + b^8)) + 4*sqrt(a^4*x^4 + b^4)*x)/(a^4*x^4 + b^4)","B",0
2921,1,707,0,84.853339," ","integrate((a*x^2+b*x+c)^(5/2)/(b*x+c),x, algorithm=""fricas"")","\left[\frac{3840 \, a^{\frac{11}{2}} c^{5} \log\left(-\frac{2 \, b^{3} c x + b^{2} c^{2} + 4 \, a c^{3} + {\left(b^{4} - 4 \, a b^{2} c + 8 \, a^{2} c^{2}\right)} x^{2} - 4 \, {\left(b c^{2} + {\left(b^{2} c - 2 \, a c^{2}\right)} x\right)} \sqrt{a x^{2} + b x + c} \sqrt{a}}{b^{2} x^{2} + 2 \, b c x + c^{2}}\right) - 15 \, {\left(3 \, b^{10} - 30 \, a b^{8} c + 80 \, a^{2} b^{6} c^{2} - 256 \, a^{5} c^{5}\right)} \sqrt{a} \log\left(-8 \, a^{2} x^{2} - 8 \, a b x + 4 \, \sqrt{a x^{2} + b x + c} {\left(2 \, a x + b\right)} \sqrt{a} - b^{2} - 4 \, a c\right) + 4 \, {\left(384 \, a^{5} b^{5} x^{4} - 45 \, a b^{9} + 390 \, a^{2} b^{7} c + 24 \, a^{3} b^{5} c^{2} + 160 \, a^{4} b^{3} c^{3} + 1920 \, a^{5} b c^{4} + 48 \, {\left(21 \, a^{4} b^{6} - 10 \, a^{5} b^{4} c\right)} x^{3} + 8 \, {\left(93 \, a^{3} b^{7} + 6 \, a^{4} b^{5} c + 80 \, a^{5} b^{3} c^{2}\right)} x^{2} + 2 \, {\left(15 \, a^{2} b^{8} + 654 \, a^{3} b^{6} c - 40 \, a^{4} b^{4} c^{2} - 480 \, a^{5} b^{2} c^{3}\right)} x\right)} \sqrt{a x^{2} + b x + c}}{7680 \, a^{3} b^{6}}, -\frac{3840 \, \sqrt{-a} a^{5} c^{5} \arctan\left(-\frac{\sqrt{a x^{2} + b x + c} {\left(b c + {\left(b^{2} - 2 \, a c\right)} x\right)} \sqrt{-a}}{2 \, {\left(a^{2} c x^{2} + a b c x + a c^{2}\right)}}\right) + 15 \, {\left(3 \, b^{10} - 30 \, a b^{8} c + 80 \, a^{2} b^{6} c^{2} - 256 \, a^{5} c^{5}\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{a x^{2} + b x + c} {\left(2 \, a x + b\right)} \sqrt{-a}}{2 \, {\left(a^{2} x^{2} + a b x + a c\right)}}\right) - 2 \, {\left(384 \, a^{5} b^{5} x^{4} - 45 \, a b^{9} + 390 \, a^{2} b^{7} c + 24 \, a^{3} b^{5} c^{2} + 160 \, a^{4} b^{3} c^{3} + 1920 \, a^{5} b c^{4} + 48 \, {\left(21 \, a^{4} b^{6} - 10 \, a^{5} b^{4} c\right)} x^{3} + 8 \, {\left(93 \, a^{3} b^{7} + 6 \, a^{4} b^{5} c + 80 \, a^{5} b^{3} c^{2}\right)} x^{2} + 2 \, {\left(15 \, a^{2} b^{8} + 654 \, a^{3} b^{6} c - 40 \, a^{4} b^{4} c^{2} - 480 \, a^{5} b^{2} c^{3}\right)} x\right)} \sqrt{a x^{2} + b x + c}}{3840 \, a^{3} b^{6}}\right]"," ",0,"[1/7680*(3840*a^(11/2)*c^5*log(-(2*b^3*c*x + b^2*c^2 + 4*a*c^3 + (b^4 - 4*a*b^2*c + 8*a^2*c^2)*x^2 - 4*(b*c^2 + (b^2*c - 2*a*c^2)*x)*sqrt(a*x^2 + b*x + c)*sqrt(a))/(b^2*x^2 + 2*b*c*x + c^2)) - 15*(3*b^10 - 30*a*b^8*c + 80*a^2*b^6*c^2 - 256*a^5*c^5)*sqrt(a)*log(-8*a^2*x^2 - 8*a*b*x + 4*sqrt(a*x^2 + b*x + c)*(2*a*x + b)*sqrt(a) - b^2 - 4*a*c) + 4*(384*a^5*b^5*x^4 - 45*a*b^9 + 390*a^2*b^7*c + 24*a^3*b^5*c^2 + 160*a^4*b^3*c^3 + 1920*a^5*b*c^4 + 48*(21*a^4*b^6 - 10*a^5*b^4*c)*x^3 + 8*(93*a^3*b^7 + 6*a^4*b^5*c + 80*a^5*b^3*c^2)*x^2 + 2*(15*a^2*b^8 + 654*a^3*b^6*c - 40*a^4*b^4*c^2 - 480*a^5*b^2*c^3)*x)*sqrt(a*x^2 + b*x + c))/(a^3*b^6), -1/3840*(3840*sqrt(-a)*a^5*c^5*arctan(-1/2*sqrt(a*x^2 + b*x + c)*(b*c + (b^2 - 2*a*c)*x)*sqrt(-a)/(a^2*c*x^2 + a*b*c*x + a*c^2)) + 15*(3*b^10 - 30*a*b^8*c + 80*a^2*b^6*c^2 - 256*a^5*c^5)*sqrt(-a)*arctan(1/2*sqrt(a*x^2 + b*x + c)*(2*a*x + b)*sqrt(-a)/(a^2*x^2 + a*b*x + a*c)) - 2*(384*a^5*b^5*x^4 - 45*a*b^9 + 390*a^2*b^7*c + 24*a^3*b^5*c^2 + 160*a^4*b^3*c^3 + 1920*a^5*b*c^4 + 48*(21*a^4*b^6 - 10*a^5*b^4*c)*x^3 + 8*(93*a^3*b^7 + 6*a^4*b^5*c + 80*a^5*b^3*c^2)*x^2 + 2*(15*a^2*b^8 + 654*a^3*b^6*c - 40*a^4*b^4*c^2 - 480*a^5*b^2*c^3)*x)*sqrt(a*x^2 + b*x + c))/(a^3*b^6)]","A",0
2922,-1,0,0,0.000000," ","integrate((x^4-a*x^2-b)*(a*x^4+b*x^2)^(1/4)/(a*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2923,-1,0,0,0.000000," ","integrate((x^4-a*x^2-b)*(a*x^4+b*x^2)^(1/4)/(a*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2924,1,5812,0,13.826818," ","integrate((1+x)^(1/2)*(x^2-1)/(x^2+1)/(x+(1+x)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{1}{20} \, \sqrt{5} \sqrt{5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} + 5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} - 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56} - 4} \log\left(-\frac{40 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 30 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 70 \, x + 90\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} + 40 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 8 \, {\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 40 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 240 \, x - 120\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} + 80 \, {\left({\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 30 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 70 \, x + 90\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} - 10 \, {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 20 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 80 \, x + 60\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56} - 400 \, {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 240 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 560 \, x - 80\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(40 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} - {\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 20 \, \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} + 20 \, {\left(2 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} + \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 3200 \, \sqrt{5} {\left(6 \, x + 13\right)} \sqrt{x + 1} - {\left({\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 80 \, \sqrt{5} {\left(x + 3\right)} \sqrt{x + 1} - 8 \, {\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 40 \, \sqrt{5} {\left(13 \, x^{2} + 24 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} + 40 \, {\left(2 \, \sqrt{5} {\left(x + 3\right)} \sqrt{x + 1} - \sqrt{5} {\left(13 \, x^{2} + 24 \, x - 15\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 3200 \, \sqrt{5} {\left(x^{2} + 8 \, x + 5\right)} - 2 \, {\left(400 \, \sqrt{5} {\left(9 \, x + 7\right)} \sqrt{x + 1} - {\left(40 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} - {\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 20 \, \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} - 20 \, {\left(2 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} + \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 600 \, \sqrt{5} {\left(x^{2} + 8 \, x + 5\right)}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56}\right)} \sqrt{5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} + 5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} - 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56} - 4}}{200 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{20} \, \sqrt{5} \sqrt{5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} + 5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} - 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56} - 4} \log\left(-\frac{40 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 30 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 70 \, x + 90\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} + 40 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 8 \, {\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 40 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 240 \, x - 120\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} + 80 \, {\left({\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 30 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 70 \, x + 90\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} - 10 \, {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 20 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 80 \, x + 60\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56} - 400 \, {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 240 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 560 \, x - 80\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(40 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} - {\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 20 \, \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} + 20 \, {\left(2 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} + \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 3200 \, \sqrt{5} {\left(6 \, x + 13\right)} \sqrt{x + 1} - {\left({\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 80 \, \sqrt{5} {\left(x + 3\right)} \sqrt{x + 1} - 8 \, {\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 40 \, \sqrt{5} {\left(13 \, x^{2} + 24 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} + 40 \, {\left(2 \, \sqrt{5} {\left(x + 3\right)} \sqrt{x + 1} - \sqrt{5} {\left(13 \, x^{2} + 24 \, x - 15\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 3200 \, \sqrt{5} {\left(x^{2} + 8 \, x + 5\right)} - 2 \, {\left(400 \, \sqrt{5} {\left(9 \, x + 7\right)} \sqrt{x + 1} - {\left(40 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} - {\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 20 \, \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} - 20 \, {\left(2 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} + \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 600 \, \sqrt{5} {\left(x^{2} + 8 \, x + 5\right)}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56}\right)} \sqrt{5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} + 5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} - 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56} - 4}}{200 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{20} \, \sqrt{5} \sqrt{5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} + 5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56} - 4} \log\left(-\frac{40 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 30 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 70 \, x + 90\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} + 40 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 8 \, {\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 40 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 240 \, x - 120\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} - 80 \, {\left({\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 30 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 70 \, x + 90\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} - 10 \, {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 20 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 80 \, x + 60\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56} - 400 \, {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 240 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 560 \, x - 80\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(40 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} - {\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 20 \, \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} + 20 \, {\left(2 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} + \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 3200 \, \sqrt{5} {\left(6 \, x + 13\right)} \sqrt{x + 1} - {\left({\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 80 \, \sqrt{5} {\left(x + 3\right)} \sqrt{x + 1} - 8 \, {\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 40 \, \sqrt{5} {\left(13 \, x^{2} + 24 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} + 40 \, {\left(2 \, \sqrt{5} {\left(x + 3\right)} \sqrt{x + 1} - \sqrt{5} {\left(13 \, x^{2} + 24 \, x - 15\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 3200 \, \sqrt{5} {\left(x^{2} + 8 \, x + 5\right)} + 2 \, {\left(400 \, \sqrt{5} {\left(9 \, x + 7\right)} \sqrt{x + 1} - {\left(40 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} - {\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 20 \, \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} - 20 \, {\left(2 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} + \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 600 \, \sqrt{5} {\left(x^{2} + 8 \, x + 5\right)}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56}\right)} \sqrt{5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} + 5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56} - 4}}{200 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{20} \, \sqrt{5} \sqrt{5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} + 5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56} - 4} \log\left(-\frac{40 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 30 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 70 \, x + 90\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} + 40 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 8 \, {\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 40 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 240 \, x - 120\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} - 80 \, {\left({\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 30 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 70 \, x + 90\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} - 10 \, {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 20 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 80 \, x + 60\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56} - 400 \, {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 240 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 560 \, x - 80\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(40 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} - {\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 20 \, \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} + 20 \, {\left(2 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} + \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 3200 \, \sqrt{5} {\left(6 \, x + 13\right)} \sqrt{x + 1} - {\left({\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 80 \, \sqrt{5} {\left(x + 3\right)} \sqrt{x + 1} - 8 \, {\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 40 \, \sqrt{5} {\left(13 \, x^{2} + 24 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} + 40 \, {\left(2 \, \sqrt{5} {\left(x + 3\right)} \sqrt{x + 1} - \sqrt{5} {\left(13 \, x^{2} + 24 \, x - 15\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 3200 \, \sqrt{5} {\left(x^{2} + 8 \, x + 5\right)} + 2 \, {\left(400 \, \sqrt{5} {\left(9 \, x + 7\right)} \sqrt{x + 1} - {\left(40 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} - {\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 20 \, \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} - 20 \, {\left(2 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} + \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 600 \, \sqrt{5} {\left(x^{2} + 8 \, x + 5\right)}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56}\right)} \sqrt{5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} + 5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56} - 4}}{200 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{2} \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} - 3\right)} - \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{\frac{56}{25} i + \frac{8}{25}} + \frac{3}{5} i - \frac{1}{5}} \log\left(\frac{4 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 30 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 70 \, x + 90\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} + 4 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 8 \, {\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 40 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 240 \, x - 120\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} + 4 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{3} - 8 \, {\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} + 80 \, {\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 2800 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 5200 \, x + 4400\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{3} - {\left(140 \, x^{2} - {\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 40 \, {\left(11 \, x + 8\right)} \sqrt{x + 1} + 720 \, x + 300\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - 8 \, {\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 10400 \, x^{2} + {\left({\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} + 520 \, x^{2} - 8 \, {\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 80 \, {\left(x + 3\right)} \sqrt{x + 1} + 960 \, x - 600\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} + 80 \, {\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 1600 \, {\left(19 \, x + 22\right)} \sqrt{x + 1} - 51200 \, x - 20000\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{56}{25} i + \frac{8}{25}} + \frac{3}{5} i - \frac{1}{5}}}{100 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{\frac{56}{25} i + \frac{8}{25}} + \frac{3}{5} i - \frac{1}{5}} \log\left(\frac{4 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 30 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 70 \, x + 90\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} + 4 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 8 \, {\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 40 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 240 \, x - 120\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} + 4 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{3} - 8 \, {\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} + 80 \, {\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 2800 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 5200 \, x + 4400\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{3} - {\left(140 \, x^{2} - {\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 40 \, {\left(11 \, x + 8\right)} \sqrt{x + 1} + 720 \, x + 300\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - 8 \, {\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 10400 \, x^{2} + {\left({\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} + 520 \, x^{2} - 8 \, {\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 80 \, {\left(x + 3\right)} \sqrt{x + 1} + 960 \, x - 600\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} + 80 \, {\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 1600 \, {\left(19 \, x + 22\right)} \sqrt{x + 1} - 51200 \, x - 20000\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{56}{25} i + \frac{8}{25}} + \frac{3}{5} i - \frac{1}{5}}}{100 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} - \frac{3}{5} i - \frac{1}{5}} \log\left(-\frac{4 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{3} + 2 \, {\left({\left(x + 13\right)} \sqrt{x + 1} + 3 \, x - 1\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} + 40 \, {\left({\left(19 \, x - 13\right)} \sqrt{x + 1} + 22 \, x - 19\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 400 \, {\left(23 \, x - 21\right)} \sqrt{x + 1} - 7600 \, x + 13200\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{3} - 4 \, {\left(27 \, x^{2} + 2 \, {\left(11 \, x - 2\right)} \sqrt{x + 1} - 4 \, x - 5\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 39200 \, x^{2} + 40 \, {\left(49 \, x^{2} + 2 \, {\left(67 \, x + 41\right)} \sqrt{x + 1} + 152 \, x + 85\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 1600 \, {\left(47 \, x + 16\right)} \sqrt{x + 1} - 89600 \, x - 36000\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} - \frac{3}{5} i - \frac{1}{5}}}{100 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} - \frac{3}{5} i - \frac{1}{5}} \log\left(-\frac{4 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{3} + 2 \, {\left({\left(x + 13\right)} \sqrt{x + 1} + 3 \, x - 1\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} + 40 \, {\left({\left(19 \, x - 13\right)} \sqrt{x + 1} + 22 \, x - 19\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 400 \, {\left(23 \, x - 21\right)} \sqrt{x + 1} - 7600 \, x + 13200\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{3} - 4 \, {\left(27 \, x^{2} + 2 \, {\left(11 \, x - 2\right)} \sqrt{x + 1} - 4 \, x - 5\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 39200 \, x^{2} + 40 \, {\left(49 \, x^{2} + 2 \, {\left(67 \, x + 41\right)} \sqrt{x + 1} + 152 \, x + 85\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 1600 \, {\left(47 \, x + 16\right)} \sqrt{x + 1} - 89600 \, x - 36000\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} - \frac{3}{5} i - \frac{1}{5}}}{100 \, {\left(x^{2} + 1\right)}}\right) + \frac{7}{8} \, \log\left(4 \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} + 1\right)} + 8 \, x + 8 \, \sqrt{x + 1} + 5\right)"," ",0,"1/20*sqrt(5)*sqrt(5*sqrt(56/25*I + 8/25) + 5*sqrt(-56/25*I + 8/25) - 2*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56) - 4)*log(-1/200*(40*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 30*(3*x - 1)*sqrt(x + 1) - 70*x + 90)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 + 40*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 8*((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 40*(3*x - 1)*sqrt(x + 1) - 240*x - 120)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) + 80*((((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 30*(3*x - 1)*sqrt(x + 1) - 70*x + 90)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) - 10*((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 20*(3*x - 1)*sqrt(x + 1) - 80*x + 60)*sqrt(x + sqrt(x + 1)))*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56) - 400*((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 4*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 240*(3*x - 1)*sqrt(x + 1) - 560*x - 80)*sqrt(x + sqrt(x + 1)) + ((40*sqrt(5)*(11*x + 8)*sqrt(x + 1) - (2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 20*sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 + 20*(2*sqrt(5)*(11*x + 8)*sqrt(x + 1) + sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 3200*sqrt(5)*(6*x + 13)*sqrt(x + 1) - ((2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 80*sqrt(5)*(x + 3)*sqrt(x + 1) - 8*(2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 40*sqrt(5)*(13*x^2 + 24*x - 15))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) + 40*(2*sqrt(5)*(x + 3)*sqrt(x + 1) - sqrt(5)*(13*x^2 + 24*x - 15))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 3200*sqrt(5)*(x^2 + 8*x + 5) - 2*(400*sqrt(5)*(9*x + 7)*sqrt(x + 1) - (40*sqrt(5)*(11*x + 8)*sqrt(x + 1) - (2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 20*sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) - 20*(2*sqrt(5)*(11*x + 8)*sqrt(x + 1) + sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 600*sqrt(5)*(x^2 + 8*x + 5))*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56))*sqrt(5*sqrt(56/25*I + 8/25) + 5*sqrt(-56/25*I + 8/25) - 2*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56) - 4))/(x^2 + 1)) - 1/20*sqrt(5)*sqrt(5*sqrt(56/25*I + 8/25) + 5*sqrt(-56/25*I + 8/25) - 2*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56) - 4)*log(-1/200*(40*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 30*(3*x - 1)*sqrt(x + 1) - 70*x + 90)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 + 40*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 8*((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 40*(3*x - 1)*sqrt(x + 1) - 240*x - 120)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) + 80*((((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 30*(3*x - 1)*sqrt(x + 1) - 70*x + 90)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) - 10*((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 20*(3*x - 1)*sqrt(x + 1) - 80*x + 60)*sqrt(x + sqrt(x + 1)))*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56) - 400*((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 4*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 240*(3*x - 1)*sqrt(x + 1) - 560*x - 80)*sqrt(x + sqrt(x + 1)) - ((40*sqrt(5)*(11*x + 8)*sqrt(x + 1) - (2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 20*sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 + 20*(2*sqrt(5)*(11*x + 8)*sqrt(x + 1) + sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 3200*sqrt(5)*(6*x + 13)*sqrt(x + 1) - ((2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 80*sqrt(5)*(x + 3)*sqrt(x + 1) - 8*(2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 40*sqrt(5)*(13*x^2 + 24*x - 15))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) + 40*(2*sqrt(5)*(x + 3)*sqrt(x + 1) - sqrt(5)*(13*x^2 + 24*x - 15))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 3200*sqrt(5)*(x^2 + 8*x + 5) - 2*(400*sqrt(5)*(9*x + 7)*sqrt(x + 1) - (40*sqrt(5)*(11*x + 8)*sqrt(x + 1) - (2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 20*sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) - 20*(2*sqrt(5)*(11*x + 8)*sqrt(x + 1) + sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 600*sqrt(5)*(x^2 + 8*x + 5))*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56))*sqrt(5*sqrt(56/25*I + 8/25) + 5*sqrt(-56/25*I + 8/25) - 2*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56) - 4))/(x^2 + 1)) + 1/20*sqrt(5)*sqrt(5*sqrt(56/25*I + 8/25) + 5*sqrt(-56/25*I + 8/25) + 2*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56) - 4)*log(-1/200*(40*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 30*(3*x - 1)*sqrt(x + 1) - 70*x + 90)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 + 40*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 8*((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 40*(3*x - 1)*sqrt(x + 1) - 240*x - 120)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) - 80*((((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 30*(3*x - 1)*sqrt(x + 1) - 70*x + 90)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) - 10*((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 20*(3*x - 1)*sqrt(x + 1) - 80*x + 60)*sqrt(x + sqrt(x + 1)))*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56) - 400*((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 4*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 240*(3*x - 1)*sqrt(x + 1) - 560*x - 80)*sqrt(x + sqrt(x + 1)) + ((40*sqrt(5)*(11*x + 8)*sqrt(x + 1) - (2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 20*sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 + 20*(2*sqrt(5)*(11*x + 8)*sqrt(x + 1) + sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 3200*sqrt(5)*(6*x + 13)*sqrt(x + 1) - ((2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 80*sqrt(5)*(x + 3)*sqrt(x + 1) - 8*(2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 40*sqrt(5)*(13*x^2 + 24*x - 15))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) + 40*(2*sqrt(5)*(x + 3)*sqrt(x + 1) - sqrt(5)*(13*x^2 + 24*x - 15))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 3200*sqrt(5)*(x^2 + 8*x + 5) + 2*(400*sqrt(5)*(9*x + 7)*sqrt(x + 1) - (40*sqrt(5)*(11*x + 8)*sqrt(x + 1) - (2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 20*sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) - 20*(2*sqrt(5)*(11*x + 8)*sqrt(x + 1) + sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 600*sqrt(5)*(x^2 + 8*x + 5))*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56))*sqrt(5*sqrt(56/25*I + 8/25) + 5*sqrt(-56/25*I + 8/25) + 2*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56) - 4))/(x^2 + 1)) - 1/20*sqrt(5)*sqrt(5*sqrt(56/25*I + 8/25) + 5*sqrt(-56/25*I + 8/25) + 2*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56) - 4)*log(-1/200*(40*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 30*(3*x - 1)*sqrt(x + 1) - 70*x + 90)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 + 40*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 8*((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 40*(3*x - 1)*sqrt(x + 1) - 240*x - 120)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) - 80*((((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 30*(3*x - 1)*sqrt(x + 1) - 70*x + 90)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) - 10*((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 20*(3*x - 1)*sqrt(x + 1) - 80*x + 60)*sqrt(x + sqrt(x + 1)))*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56) - 400*((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 4*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 240*(3*x - 1)*sqrt(x + 1) - 560*x - 80)*sqrt(x + sqrt(x + 1)) - ((40*sqrt(5)*(11*x + 8)*sqrt(x + 1) - (2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 20*sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 + 20*(2*sqrt(5)*(11*x + 8)*sqrt(x + 1) + sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 3200*sqrt(5)*(6*x + 13)*sqrt(x + 1) - ((2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 80*sqrt(5)*(x + 3)*sqrt(x + 1) - 8*(2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 40*sqrt(5)*(13*x^2 + 24*x - 15))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) + 40*(2*sqrt(5)*(x + 3)*sqrt(x + 1) - sqrt(5)*(13*x^2 + 24*x - 15))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 3200*sqrt(5)*(x^2 + 8*x + 5) + 2*(400*sqrt(5)*(9*x + 7)*sqrt(x + 1) - (40*sqrt(5)*(11*x + 8)*sqrt(x + 1) - (2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 20*sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) - 20*(2*sqrt(5)*(11*x + 8)*sqrt(x + 1) + sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 600*sqrt(5)*(x^2 + 8*x + 5))*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56))*sqrt(5*sqrt(56/25*I + 8/25) + 5*sqrt(-56/25*I + 8/25) + 2*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56) - 4))/(x^2 + 1)) + 1/2*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) - 3) - 1/2*sqrt(-1/2*sqrt(56/25*I + 8/25) + 3/5*I - 1/5)*log(1/100*(4*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 30*(3*x - 1)*sqrt(x + 1) - 70*x + 90)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 + 4*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 8*((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 40*(3*x - 1)*sqrt(x + 1) - 240*x - 120)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) + 4*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^3 - 8*((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 + 80*((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 2800*(3*x - 1)*sqrt(x + 1) - 5200*x + 4400)*sqrt(x + sqrt(x + 1)) + ((31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^3 - (140*x^2 - (31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 40*(11*x + 8)*sqrt(x + 1) + 720*x + 300)*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 8*(31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 10400*x^2 + ((31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 + 520*x^2 - 8*(31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 80*(x + 3)*sqrt(x + 1) + 960*x - 600)*(5*sqrt(56/25*I + 8/25) - 6*I + 2) + 80*(31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 1600*(19*x + 22)*sqrt(x + 1) - 51200*x - 20000)*sqrt(-1/2*sqrt(56/25*I + 8/25) + 3/5*I - 1/5))/(x^2 + 1)) + 1/2*sqrt(-1/2*sqrt(56/25*I + 8/25) + 3/5*I - 1/5)*log(1/100*(4*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 30*(3*x - 1)*sqrt(x + 1) - 70*x + 90)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 + 4*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 8*((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 40*(3*x - 1)*sqrt(x + 1) - 240*x - 120)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) + 4*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^3 - 8*((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 + 80*((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 2800*(3*x - 1)*sqrt(x + 1) - 5200*x + 4400)*sqrt(x + sqrt(x + 1)) - ((31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^3 - (140*x^2 - (31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 40*(11*x + 8)*sqrt(x + 1) + 720*x + 300)*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 8*(31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 10400*x^2 + ((31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 + 520*x^2 - 8*(31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 80*(x + 3)*sqrt(x + 1) + 960*x - 600)*(5*sqrt(56/25*I + 8/25) - 6*I + 2) + 80*(31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 1600*(19*x + 22)*sqrt(x + 1) - 51200*x - 20000)*sqrt(-1/2*sqrt(56/25*I + 8/25) + 3/5*I - 1/5))/(x^2 + 1)) - 1/2*sqrt(-1/2*sqrt(-56/25*I + 8/25) - 3/5*I - 1/5)*log(-1/100*(4*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^3 + 2*((x + 13)*sqrt(x + 1) + 3*x - 1)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 + 40*((19*x - 13)*sqrt(x + 1) + 22*x - 19)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 400*(23*x - 21)*sqrt(x + 1) - 7600*x + 13200)*sqrt(x + sqrt(x + 1)) + ((31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^3 - 4*(27*x^2 + 2*(11*x - 2)*sqrt(x + 1) - 4*x - 5)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 39200*x^2 + 40*(49*x^2 + 2*(67*x + 41)*sqrt(x + 1) + 152*x + 85)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 1600*(47*x + 16)*sqrt(x + 1) - 89600*x - 36000)*sqrt(-1/2*sqrt(-56/25*I + 8/25) - 3/5*I - 1/5))/(x^2 + 1)) + 1/2*sqrt(-1/2*sqrt(-56/25*I + 8/25) - 3/5*I - 1/5)*log(-1/100*(4*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^3 + 2*((x + 13)*sqrt(x + 1) + 3*x - 1)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 + 40*((19*x - 13)*sqrt(x + 1) + 22*x - 19)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 400*(23*x - 21)*sqrt(x + 1) - 7600*x + 13200)*sqrt(x + sqrt(x + 1)) - ((31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^3 - 4*(27*x^2 + 2*(11*x - 2)*sqrt(x + 1) - 4*x - 5)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 39200*x^2 + 40*(49*x^2 + 2*(67*x + 41)*sqrt(x + 1) + 152*x + 85)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 1600*(47*x + 16)*sqrt(x + 1) - 89600*x - 36000)*sqrt(-1/2*sqrt(-56/25*I + 8/25) - 3/5*I - 1/5))/(x^2 + 1)) + 7/8*log(4*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) + 1) + 8*x + 8*sqrt(x + 1) + 5)","B",0
2925,1,5812,0,13.697848," ","integrate((1+x)^(1/2)*(x^2-1)/(x^2+1)/(x+(1+x)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{1}{20} \, \sqrt{5} \sqrt{5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} + 5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} - 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56} - 4} \log\left(-\frac{40 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 30 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 70 \, x + 90\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} + 40 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 8 \, {\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 40 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 240 \, x - 120\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} + 80 \, {\left({\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 30 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 70 \, x + 90\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} - 10 \, {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 20 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 80 \, x + 60\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56} - 400 \, {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 240 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 560 \, x - 80\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(40 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} - {\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 20 \, \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} + 20 \, {\left(2 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} + \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 3200 \, \sqrt{5} {\left(6 \, x + 13\right)} \sqrt{x + 1} - {\left({\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 80 \, \sqrt{5} {\left(x + 3\right)} \sqrt{x + 1} - 8 \, {\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 40 \, \sqrt{5} {\left(13 \, x^{2} + 24 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} + 40 \, {\left(2 \, \sqrt{5} {\left(x + 3\right)} \sqrt{x + 1} - \sqrt{5} {\left(13 \, x^{2} + 24 \, x - 15\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 3200 \, \sqrt{5} {\left(x^{2} + 8 \, x + 5\right)} - 2 \, {\left(400 \, \sqrt{5} {\left(9 \, x + 7\right)} \sqrt{x + 1} - {\left(40 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} - {\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 20 \, \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} - 20 \, {\left(2 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} + \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 600 \, \sqrt{5} {\left(x^{2} + 8 \, x + 5\right)}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56}\right)} \sqrt{5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} + 5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} - 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56} - 4}}{200 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{20} \, \sqrt{5} \sqrt{5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} + 5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} - 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56} - 4} \log\left(-\frac{40 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 30 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 70 \, x + 90\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} + 40 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 8 \, {\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 40 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 240 \, x - 120\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} + 80 \, {\left({\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 30 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 70 \, x + 90\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} - 10 \, {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 20 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 80 \, x + 60\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56} - 400 \, {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 240 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 560 \, x - 80\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(40 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} - {\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 20 \, \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} + 20 \, {\left(2 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} + \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 3200 \, \sqrt{5} {\left(6 \, x + 13\right)} \sqrt{x + 1} - {\left({\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 80 \, \sqrt{5} {\left(x + 3\right)} \sqrt{x + 1} - 8 \, {\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 40 \, \sqrt{5} {\left(13 \, x^{2} + 24 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} + 40 \, {\left(2 \, \sqrt{5} {\left(x + 3\right)} \sqrt{x + 1} - \sqrt{5} {\left(13 \, x^{2} + 24 \, x - 15\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 3200 \, \sqrt{5} {\left(x^{2} + 8 \, x + 5\right)} - 2 \, {\left(400 \, \sqrt{5} {\left(9 \, x + 7\right)} \sqrt{x + 1} - {\left(40 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} - {\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 20 \, \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} - 20 \, {\left(2 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} + \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 600 \, \sqrt{5} {\left(x^{2} + 8 \, x + 5\right)}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56}\right)} \sqrt{5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} + 5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} - 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56} - 4}}{200 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{20} \, \sqrt{5} \sqrt{5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} + 5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56} - 4} \log\left(-\frac{40 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 30 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 70 \, x + 90\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} + 40 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 8 \, {\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 40 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 240 \, x - 120\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} - 80 \, {\left({\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 30 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 70 \, x + 90\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} - 10 \, {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 20 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 80 \, x + 60\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56} - 400 \, {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 240 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 560 \, x - 80\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(40 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} - {\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 20 \, \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} + 20 \, {\left(2 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} + \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 3200 \, \sqrt{5} {\left(6 \, x + 13\right)} \sqrt{x + 1} - {\left({\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 80 \, \sqrt{5} {\left(x + 3\right)} \sqrt{x + 1} - 8 \, {\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 40 \, \sqrt{5} {\left(13 \, x^{2} + 24 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} + 40 \, {\left(2 \, \sqrt{5} {\left(x + 3\right)} \sqrt{x + 1} - \sqrt{5} {\left(13 \, x^{2} + 24 \, x - 15\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 3200 \, \sqrt{5} {\left(x^{2} + 8 \, x + 5\right)} + 2 \, {\left(400 \, \sqrt{5} {\left(9 \, x + 7\right)} \sqrt{x + 1} - {\left(40 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} - {\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 20 \, \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} - 20 \, {\left(2 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} + \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 600 \, \sqrt{5} {\left(x^{2} + 8 \, x + 5\right)}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56}\right)} \sqrt{5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} + 5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56} - 4}}{200 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{20} \, \sqrt{5} \sqrt{5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} + 5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56} - 4} \log\left(-\frac{40 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 30 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 70 \, x + 90\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} + 40 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 8 \, {\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 40 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 240 \, x - 120\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} - 80 \, {\left({\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 30 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 70 \, x + 90\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} - 10 \, {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 20 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 80 \, x + 60\right)} \sqrt{x + \sqrt{x + 1}}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56} - 400 \, {\left({\left(3 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} + 7 \, x - 9\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 4 \, {\left({\left(3 \, x - 1\right)} \sqrt{x + 1} - 6 \, x - 3\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 240 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 560 \, x - 80\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(40 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} - {\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 20 \, \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} + 20 \, {\left(2 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} + \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 3200 \, \sqrt{5} {\left(6 \, x + 13\right)} \sqrt{x + 1} - {\left({\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 80 \, \sqrt{5} {\left(x + 3\right)} \sqrt{x + 1} - 8 \, {\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 40 \, \sqrt{5} {\left(13 \, x^{2} + 24 \, x - 15\right)}\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} + 40 \, {\left(2 \, \sqrt{5} {\left(x + 3\right)} \sqrt{x + 1} - \sqrt{5} {\left(13 \, x^{2} + 24 \, x - 15\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 3200 \, \sqrt{5} {\left(x^{2} + 8 \, x + 5\right)} + 2 \, {\left(400 \, \sqrt{5} {\left(9 \, x + 7\right)} \sqrt{x + 1} - {\left(40 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} - {\left(2 \, \sqrt{5} {\left(33 \, x + 19\right)} \sqrt{x + 1} + \sqrt{5} {\left(31 \, x^{2} + 88 \, x + 35\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 20 \, \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} - 20 \, {\left(2 \, \sqrt{5} {\left(11 \, x + 8\right)} \sqrt{x + 1} + \sqrt{5} {\left(7 \, x^{2} + 36 \, x + 15\right)}\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 600 \, \sqrt{5} {\left(x^{2} + 8 \, x + 5\right)}\right)} \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56}\right)} \sqrt{5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} + 5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 2 \, \sqrt{-\frac{3}{4} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - \frac{3}{4} \, {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - \frac{1}{2} \, {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i - 6\right)} + 20 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 24 i - 56} - 4}}{200 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{2} \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} - 3\right)} - \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{\frac{56}{25} i + \frac{8}{25}} + \frac{3}{5} i - \frac{1}{5}} \log\left(\frac{4 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 30 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 70 \, x + 90\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} + 4 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 8 \, {\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 40 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 240 \, x - 120\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} + 4 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{3} - 8 \, {\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} + 80 \, {\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 2800 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 5200 \, x + 4400\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{3} - {\left(140 \, x^{2} - {\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 40 \, {\left(11 \, x + 8\right)} \sqrt{x + 1} + 720 \, x + 300\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - 8 \, {\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 10400 \, x^{2} + {\left({\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} + 520 \, x^{2} - 8 \, {\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 80 \, {\left(x + 3\right)} \sqrt{x + 1} + 960 \, x - 600\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} + 80 \, {\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 1600 \, {\left(19 \, x + 22\right)} \sqrt{x + 1} - 51200 \, x - 20000\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{56}{25} i + \frac{8}{25}} + \frac{3}{5} i - \frac{1}{5}}}{100 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{\frac{56}{25} i + \frac{8}{25}} + \frac{3}{5} i - \frac{1}{5}} \log\left(\frac{4 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 30 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 70 \, x + 90\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} + 4 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 8 \, {\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 40 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 240 \, x - 120\right)} \sqrt{x + \sqrt{x + 1}} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} + 4 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{3} - 8 \, {\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} + 80 \, {\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 2800 \, {\left(3 \, x - 1\right)} \sqrt{x + 1} - 5200 \, x + 4400\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{3} - {\left(140 \, x^{2} - {\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} + 40 \, {\left(11 \, x + 8\right)} \sqrt{x + 1} + 720 \, x + 300\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)}^{2} - 8 \, {\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 10400 \, x^{2} + {\left({\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} + 520 \, x^{2} - 8 \, {\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 80 \, {\left(x + 3\right)} \sqrt{x + 1} + 960 \, x - 600\right)} {\left(5 \, \sqrt{\frac{56}{25} i + \frac{8}{25}} - 6 i + 2\right)} + 80 \, {\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 1600 \, {\left(19 \, x + 22\right)} \sqrt{x + 1} - 51200 \, x - 20000\right)} \sqrt{-\frac{1}{2} \, \sqrt{\frac{56}{25} i + \frac{8}{25}} + \frac{3}{5} i - \frac{1}{5}}}{100 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} - \frac{3}{5} i - \frac{1}{5}} \log\left(-\frac{4 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{3} + 2 \, {\left({\left(x + 13\right)} \sqrt{x + 1} + 3 \, x - 1\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} + 40 \, {\left({\left(19 \, x - 13\right)} \sqrt{x + 1} + 22 \, x - 19\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 400 \, {\left(23 \, x - 21\right)} \sqrt{x + 1} - 7600 \, x + 13200\right)} \sqrt{x + \sqrt{x + 1}} + {\left({\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{3} - 4 \, {\left(27 \, x^{2} + 2 \, {\left(11 \, x - 2\right)} \sqrt{x + 1} - 4 \, x - 5\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 39200 \, x^{2} + 40 \, {\left(49 \, x^{2} + 2 \, {\left(67 \, x + 41\right)} \sqrt{x + 1} + 152 \, x + 85\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 1600 \, {\left(47 \, x + 16\right)} \sqrt{x + 1} - 89600 \, x - 36000\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} - \frac{3}{5} i - \frac{1}{5}}}{100 \, {\left(x^{2} + 1\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{2} \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} - \frac{3}{5} i - \frac{1}{5}} \log\left(-\frac{4 \, {\left({\left({\left(11 \, x - 7\right)} \sqrt{x + 1} + 8 \, x - 11\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{3} + 2 \, {\left({\left(x + 13\right)} \sqrt{x + 1} + 3 \, x - 1\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} + 40 \, {\left({\left(19 \, x - 13\right)} \sqrt{x + 1} + 22 \, x - 19\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 400 \, {\left(23 \, x - 21\right)} \sqrt{x + 1} - 7600 \, x + 13200\right)} \sqrt{x + \sqrt{x + 1}} - {\left({\left(31 \, x^{2} + 2 \, {\left(33 \, x + 19\right)} \sqrt{x + 1} + 88 \, x + 35\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{3} - 4 \, {\left(27 \, x^{2} + 2 \, {\left(11 \, x - 2\right)} \sqrt{x + 1} - 4 \, x - 5\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)}^{2} - 39200 \, x^{2} + 40 \, {\left(49 \, x^{2} + 2 \, {\left(67 \, x + 41\right)} \sqrt{x + 1} + 152 \, x + 85\right)} {\left(5 \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} + 6 i + 2\right)} - 1600 \, {\left(47 \, x + 16\right)} \sqrt{x + 1} - 89600 \, x - 36000\right)} \sqrt{-\frac{1}{2} \, \sqrt{-\frac{56}{25} i + \frac{8}{25}} - \frac{3}{5} i - \frac{1}{5}}}{100 \, {\left(x^{2} + 1\right)}}\right) + \frac{7}{8} \, \log\left(4 \, \sqrt{x + \sqrt{x + 1}} {\left(2 \, \sqrt{x + 1} + 1\right)} + 8 \, x + 8 \, \sqrt{x + 1} + 5\right)"," ",0,"1/20*sqrt(5)*sqrt(5*sqrt(56/25*I + 8/25) + 5*sqrt(-56/25*I + 8/25) - 2*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56) - 4)*log(-1/200*(40*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 30*(3*x - 1)*sqrt(x + 1) - 70*x + 90)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 + 40*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 8*((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 40*(3*x - 1)*sqrt(x + 1) - 240*x - 120)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) + 80*((((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 30*(3*x - 1)*sqrt(x + 1) - 70*x + 90)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) - 10*((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 20*(3*x - 1)*sqrt(x + 1) - 80*x + 60)*sqrt(x + sqrt(x + 1)))*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56) - 400*((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 4*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 240*(3*x - 1)*sqrt(x + 1) - 560*x - 80)*sqrt(x + sqrt(x + 1)) + ((40*sqrt(5)*(11*x + 8)*sqrt(x + 1) - (2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 20*sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 + 20*(2*sqrt(5)*(11*x + 8)*sqrt(x + 1) + sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 3200*sqrt(5)*(6*x + 13)*sqrt(x + 1) - ((2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 80*sqrt(5)*(x + 3)*sqrt(x + 1) - 8*(2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 40*sqrt(5)*(13*x^2 + 24*x - 15))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) + 40*(2*sqrt(5)*(x + 3)*sqrt(x + 1) - sqrt(5)*(13*x^2 + 24*x - 15))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 3200*sqrt(5)*(x^2 + 8*x + 5) - 2*(400*sqrt(5)*(9*x + 7)*sqrt(x + 1) - (40*sqrt(5)*(11*x + 8)*sqrt(x + 1) - (2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 20*sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) - 20*(2*sqrt(5)*(11*x + 8)*sqrt(x + 1) + sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 600*sqrt(5)*(x^2 + 8*x + 5))*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56))*sqrt(5*sqrt(56/25*I + 8/25) + 5*sqrt(-56/25*I + 8/25) - 2*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56) - 4))/(x^2 + 1)) - 1/20*sqrt(5)*sqrt(5*sqrt(56/25*I + 8/25) + 5*sqrt(-56/25*I + 8/25) - 2*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56) - 4)*log(-1/200*(40*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 30*(3*x - 1)*sqrt(x + 1) - 70*x + 90)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 + 40*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 8*((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 40*(3*x - 1)*sqrt(x + 1) - 240*x - 120)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) + 80*((((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 30*(3*x - 1)*sqrt(x + 1) - 70*x + 90)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) - 10*((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 20*(3*x - 1)*sqrt(x + 1) - 80*x + 60)*sqrt(x + sqrt(x + 1)))*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56) - 400*((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 4*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 240*(3*x - 1)*sqrt(x + 1) - 560*x - 80)*sqrt(x + sqrt(x + 1)) - ((40*sqrt(5)*(11*x + 8)*sqrt(x + 1) - (2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 20*sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 + 20*(2*sqrt(5)*(11*x + 8)*sqrt(x + 1) + sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 3200*sqrt(5)*(6*x + 13)*sqrt(x + 1) - ((2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 80*sqrt(5)*(x + 3)*sqrt(x + 1) - 8*(2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 40*sqrt(5)*(13*x^2 + 24*x - 15))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) + 40*(2*sqrt(5)*(x + 3)*sqrt(x + 1) - sqrt(5)*(13*x^2 + 24*x - 15))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 3200*sqrt(5)*(x^2 + 8*x + 5) - 2*(400*sqrt(5)*(9*x + 7)*sqrt(x + 1) - (40*sqrt(5)*(11*x + 8)*sqrt(x + 1) - (2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 20*sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) - 20*(2*sqrt(5)*(11*x + 8)*sqrt(x + 1) + sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 600*sqrt(5)*(x^2 + 8*x + 5))*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56))*sqrt(5*sqrt(56/25*I + 8/25) + 5*sqrt(-56/25*I + 8/25) - 2*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56) - 4))/(x^2 + 1)) + 1/20*sqrt(5)*sqrt(5*sqrt(56/25*I + 8/25) + 5*sqrt(-56/25*I + 8/25) + 2*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56) - 4)*log(-1/200*(40*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 30*(3*x - 1)*sqrt(x + 1) - 70*x + 90)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 + 40*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 8*((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 40*(3*x - 1)*sqrt(x + 1) - 240*x - 120)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) - 80*((((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 30*(3*x - 1)*sqrt(x + 1) - 70*x + 90)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) - 10*((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 20*(3*x - 1)*sqrt(x + 1) - 80*x + 60)*sqrt(x + sqrt(x + 1)))*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56) - 400*((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 4*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 240*(3*x - 1)*sqrt(x + 1) - 560*x - 80)*sqrt(x + sqrt(x + 1)) + ((40*sqrt(5)*(11*x + 8)*sqrt(x + 1) - (2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 20*sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 + 20*(2*sqrt(5)*(11*x + 8)*sqrt(x + 1) + sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 3200*sqrt(5)*(6*x + 13)*sqrt(x + 1) - ((2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 80*sqrt(5)*(x + 3)*sqrt(x + 1) - 8*(2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 40*sqrt(5)*(13*x^2 + 24*x - 15))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) + 40*(2*sqrt(5)*(x + 3)*sqrt(x + 1) - sqrt(5)*(13*x^2 + 24*x - 15))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 3200*sqrt(5)*(x^2 + 8*x + 5) + 2*(400*sqrt(5)*(9*x + 7)*sqrt(x + 1) - (40*sqrt(5)*(11*x + 8)*sqrt(x + 1) - (2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 20*sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) - 20*(2*sqrt(5)*(11*x + 8)*sqrt(x + 1) + sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 600*sqrt(5)*(x^2 + 8*x + 5))*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56))*sqrt(5*sqrt(56/25*I + 8/25) + 5*sqrt(-56/25*I + 8/25) + 2*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56) - 4))/(x^2 + 1)) - 1/20*sqrt(5)*sqrt(5*sqrt(56/25*I + 8/25) + 5*sqrt(-56/25*I + 8/25) + 2*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56) - 4)*log(-1/200*(40*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 30*(3*x - 1)*sqrt(x + 1) - 70*x + 90)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 + 40*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 8*((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 40*(3*x - 1)*sqrt(x + 1) - 240*x - 120)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) - 80*((((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 30*(3*x - 1)*sqrt(x + 1) - 70*x + 90)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) - 10*((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 20*(3*x - 1)*sqrt(x + 1) - 80*x + 60)*sqrt(x + sqrt(x + 1)))*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56) - 400*((3*(3*x - 1)*sqrt(x + 1) + 7*x - 9)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 4*((3*x - 1)*sqrt(x + 1) - 6*x - 3)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 240*(3*x - 1)*sqrt(x + 1) - 560*x - 80)*sqrt(x + sqrt(x + 1)) - ((40*sqrt(5)*(11*x + 8)*sqrt(x + 1) - (2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 20*sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 + 20*(2*sqrt(5)*(11*x + 8)*sqrt(x + 1) + sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 3200*sqrt(5)*(6*x + 13)*sqrt(x + 1) - ((2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 80*sqrt(5)*(x + 3)*sqrt(x + 1) - 8*(2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 40*sqrt(5)*(13*x^2 + 24*x - 15))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) + 40*(2*sqrt(5)*(x + 3)*sqrt(x + 1) - sqrt(5)*(13*x^2 + 24*x - 15))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 3200*sqrt(5)*(x^2 + 8*x + 5) + 2*(400*sqrt(5)*(9*x + 7)*sqrt(x + 1) - (40*sqrt(5)*(11*x + 8)*sqrt(x + 1) - (2*sqrt(5)*(33*x + 19)*sqrt(x + 1) + sqrt(5)*(31*x^2 + 88*x + 35))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 20*sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) - 20*(2*sqrt(5)*(11*x + 8)*sqrt(x + 1) + sqrt(5)*(7*x^2 + 36*x + 15))*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 600*sqrt(5)*(x^2 + 8*x + 5))*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56))*sqrt(5*sqrt(56/25*I + 8/25) + 5*sqrt(-56/25*I + 8/25) + 2*sqrt(-3/4*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 3/4*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 1/2*(5*sqrt(56/25*I + 8/25) - 6*I + 2)*(5*sqrt(-56/25*I + 8/25) + 6*I - 6) + 20*sqrt(-56/25*I + 8/25) + 24*I - 56) - 4))/(x^2 + 1)) + 1/2*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) - 3) - 1/2*sqrt(-1/2*sqrt(56/25*I + 8/25) + 3/5*I - 1/5)*log(1/100*(4*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 30*(3*x - 1)*sqrt(x + 1) - 70*x + 90)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 + 4*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 8*((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 40*(3*x - 1)*sqrt(x + 1) - 240*x - 120)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) + 4*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^3 - 8*((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 + 80*((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 2800*(3*x - 1)*sqrt(x + 1) - 5200*x + 4400)*sqrt(x + sqrt(x + 1)) + ((31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^3 - (140*x^2 - (31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 40*(11*x + 8)*sqrt(x + 1) + 720*x + 300)*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 8*(31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 10400*x^2 + ((31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 + 520*x^2 - 8*(31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 80*(x + 3)*sqrt(x + 1) + 960*x - 600)*(5*sqrt(56/25*I + 8/25) - 6*I + 2) + 80*(31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 1600*(19*x + 22)*sqrt(x + 1) - 51200*x - 20000)*sqrt(-1/2*sqrt(56/25*I + 8/25) + 3/5*I - 1/5))/(x^2 + 1)) + 1/2*sqrt(-1/2*sqrt(56/25*I + 8/25) + 3/5*I - 1/5)*log(1/100*(4*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 30*(3*x - 1)*sqrt(x + 1) - 70*x + 90)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 + 4*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 8*((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 40*(3*x - 1)*sqrt(x + 1) - 240*x - 120)*sqrt(x + sqrt(x + 1))*(5*sqrt(56/25*I + 8/25) - 6*I + 2) + 4*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^3 - 8*((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 + 80*((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 2800*(3*x - 1)*sqrt(x + 1) - 5200*x + 4400)*sqrt(x + sqrt(x + 1)) - ((31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^3 - (140*x^2 - (31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) + 40*(11*x + 8)*sqrt(x + 1) + 720*x + 300)*(5*sqrt(56/25*I + 8/25) - 6*I + 2)^2 - 8*(31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 10400*x^2 + ((31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 + 520*x^2 - 8*(31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 80*(x + 3)*sqrt(x + 1) + 960*x - 600)*(5*sqrt(56/25*I + 8/25) - 6*I + 2) + 80*(31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 1600*(19*x + 22)*sqrt(x + 1) - 51200*x - 20000)*sqrt(-1/2*sqrt(56/25*I + 8/25) + 3/5*I - 1/5))/(x^2 + 1)) - 1/2*sqrt(-1/2*sqrt(-56/25*I + 8/25) - 3/5*I - 1/5)*log(-1/100*(4*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^3 + 2*((x + 13)*sqrt(x + 1) + 3*x - 1)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 + 40*((19*x - 13)*sqrt(x + 1) + 22*x - 19)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 400*(23*x - 21)*sqrt(x + 1) - 7600*x + 13200)*sqrt(x + sqrt(x + 1)) + ((31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^3 - 4*(27*x^2 + 2*(11*x - 2)*sqrt(x + 1) - 4*x - 5)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 39200*x^2 + 40*(49*x^2 + 2*(67*x + 41)*sqrt(x + 1) + 152*x + 85)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 1600*(47*x + 16)*sqrt(x + 1) - 89600*x - 36000)*sqrt(-1/2*sqrt(-56/25*I + 8/25) - 3/5*I - 1/5))/(x^2 + 1)) + 1/2*sqrt(-1/2*sqrt(-56/25*I + 8/25) - 3/5*I - 1/5)*log(-1/100*(4*(((11*x - 7)*sqrt(x + 1) + 8*x - 11)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^3 + 2*((x + 13)*sqrt(x + 1) + 3*x - 1)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 + 40*((19*x - 13)*sqrt(x + 1) + 22*x - 19)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 400*(23*x - 21)*sqrt(x + 1) - 7600*x + 13200)*sqrt(x + sqrt(x + 1)) - ((31*x^2 + 2*(33*x + 19)*sqrt(x + 1) + 88*x + 35)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^3 - 4*(27*x^2 + 2*(11*x - 2)*sqrt(x + 1) - 4*x - 5)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2)^2 - 39200*x^2 + 40*(49*x^2 + 2*(67*x + 41)*sqrt(x + 1) + 152*x + 85)*(5*sqrt(-56/25*I + 8/25) + 6*I + 2) - 1600*(47*x + 16)*sqrt(x + 1) - 89600*x - 36000)*sqrt(-1/2*sqrt(-56/25*I + 8/25) - 3/5*I - 1/5))/(x^2 + 1)) + 7/8*log(4*sqrt(x + sqrt(x + 1))*(2*sqrt(x + 1) + 1) + 8*x + 8*sqrt(x + 1) + 5)","B",0
2926,1,2052,0,1.667651," ","integrate((-x^2+(2*x^2+1)^(1/2)+(2*x^2+1)^(5/2))/(x^2-x*(2*x^2+1)^(3/2)),x, algorithm=""fricas"")","-x^{2} - \frac{1}{20} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)} \log\left(\frac{17}{25} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{3} - \frac{11}{25} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{2} + 167 \, x - 54 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - \frac{108}{5} i - \frac{254}{5}\right) - \frac{1}{20} \, {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)} \log\left(-\frac{17}{25} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{3} - \frac{2}{25} \, {\left(85 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 34 i + 82\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)}^{2} - \frac{204}{25} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{2} - \frac{1}{25} \, {\left(17 \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{2} + 2040 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 816 i + 968\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)} + 167 \, x - 578 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - \frac{1156}{5} i - \frac{658}{5}\right) + \frac{1}{20} \, {\left(5 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 5 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - \sqrt{-\frac{3}{4} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{2} - \frac{1}{2} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i + 9\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)} - \frac{3}{4} \, {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)}^{2} - 60 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 24 i - 31} + 3\right)} \log\left(\frac{1}{25} \, {\left(85 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 34 i + 82\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)}^{2} + \frac{43}{10} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{2} + \frac{1}{50} \, {\left(17 \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{2} + 2040 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 816 i + 968\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)} + \frac{1}{25} \, \sqrt{-\frac{3}{4} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{2} - \frac{1}{2} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i + 9\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)} - \frac{3}{4} \, {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)}^{2} - 60 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 24 i - 31} {\left(2 \, {\left(85 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 34 i + 82\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)} + 2150 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 860 i + 355\right)} + 167 \, x + 316 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + \frac{632}{5} i + \frac{456}{5}\right) + \frac{1}{20} \, {\left(5 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 5 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + \sqrt{-\frac{3}{4} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{2} - \frac{1}{2} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i + 9\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)} - \frac{3}{4} \, {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)}^{2} - 60 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 24 i - 31} + 3\right)} \log\left(\frac{1}{25} \, {\left(85 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 34 i + 82\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)}^{2} + \frac{43}{10} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{2} + \frac{1}{50} \, {\left(17 \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{2} + 2040 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 816 i + 968\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)} - \frac{1}{25} \, \sqrt{-\frac{3}{4} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{2} - \frac{1}{2} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i + 9\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)} - \frac{3}{4} \, {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)}^{2} - 60 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 24 i - 31} {\left(2 \, {\left(85 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 34 i + 82\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)} + 2150 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 860 i + 355\right)} + 167 \, x + 316 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + \frac{632}{5} i + \frac{456}{5}\right) - \frac{1}{20} \, {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)} \log\left(-\frac{76 \, x {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{3} + 912 \, x {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{2} + 2 \, {\left(38 \, x {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)} + 235 \, x\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)}^{2} + 6460 \, x {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)} + 2 \, {\left(38 \, x {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{2} + 456 \, x {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)} + 2795 \, x\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)} + 30650 \, x - 4175 \, \sqrt{2 \, x^{2} + 1} + 4175}{25 \, x}\right) - \frac{1}{20} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)} \log\left(\frac{76 \, x {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{3} + 442 \, x {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{2} + 870 \, x {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)} - 4050 \, x + 4175 \, \sqrt{2 \, x^{2} + 1} - 4175}{25 \, x}\right) - \frac{1}{20} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 4 i + 3\right)} \log\left(\frac{28 \, x {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)}^{3} + 2 \, {\left(14 \, x {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)} - 69 \, x\right)} {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 4 i + 3\right)}^{2} - 336 \, x {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)}^{2} + 2 \, {\left(14 \, x {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)}^{2} - 168 \, x {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)} + 643 \, x\right)} {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 4 i + 3\right)} + 2380 \, x {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)} - 6370 \, x + 835 \, \sqrt{2 \, x^{2} + 1} - 835}{5 \, x}\right) - \frac{1}{20} \, {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)} \log\left(-\frac{28 \, x {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)}^{3} - 198 \, x {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)}^{2} + 1094 \, x {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)} - 3430 \, x - 835 \, \sqrt{2 \, x^{2} + 1} + 835}{5 \, x}\right) + \frac{1}{20} \, {\left(5 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 5 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - \sqrt{-\frac{3}{4} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 4 i + 3\right)}^{2} - \frac{3}{4} \, {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)}^{2} - \frac{1}{2} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 4 i + 3\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i - 9\right)} + 60 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 24 i - 31} - 3\right)} \log\left(-\frac{{\left(14 \, x {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)} - 69 \, x\right)} {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 4 i + 3\right)}^{2} - 69 \, x {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)}^{2} + {\left(14 \, x {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)}^{2} - 168 \, x {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)} + 643 \, x\right)} {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 4 i + 3\right)} + 643 \, x {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)} + 2 \, {\left({\left(14 \, x {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)} - 69 \, x\right)} {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 4 i + 3\right)} - 69 \, x {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)} + 185 \, x\right)} \sqrt{-\frac{3}{4} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 4 i + 3\right)}^{2} - \frac{3}{4} \, {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)}^{2} - \frac{1}{2} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 4 i + 3\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i - 9\right)} + 60 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 24 i - 31} - 3140 \, x - 835 \, \sqrt{2 \, x^{2} + 1} + 835}{5 \, x}\right) + \frac{1}{20} \, {\left(5 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 5 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + \sqrt{-\frac{3}{4} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 4 i + 3\right)}^{2} - \frac{3}{4} \, {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)}^{2} - \frac{1}{2} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 4 i + 3\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i - 9\right)} + 60 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 24 i - 31} - 3\right)} \log\left(-\frac{{\left(14 \, x {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)} - 69 \, x\right)} {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 4 i + 3\right)}^{2} - 69 \, x {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)}^{2} + {\left(14 \, x {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)}^{2} - 168 \, x {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)} + 643 \, x\right)} {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 4 i + 3\right)} + 643 \, x {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)} - 2 \, {\left({\left(14 \, x {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)} - 69 \, x\right)} {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 4 i + 3\right)} - 69 \, x {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)} + 185 \, x\right)} \sqrt{-\frac{3}{4} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 4 i + 3\right)}^{2} - \frac{3}{4} \, {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i + 3\right)}^{2} - \frac{1}{2} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 4 i + 3\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 4 i - 9\right)} + 60 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + 24 i - 31} - 3140 \, x - 835 \, \sqrt{2 \, x^{2} + 1} + 835}{5 \, x}\right) + \frac{1}{20} \, {\left(5 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 5 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - \sqrt{-\frac{3}{4} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{2} - \frac{1}{2} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i + 9\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)} - \frac{3}{4} \, {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)}^{2} - 60 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 24 i - 31} + 3\right)} \log\left(\frac{235 \, x {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{2} + {\left(38 \, x {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)} + 235 \, x\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)}^{2} + 2795 \, x {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)} + {\left(38 \, x {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{2} + 456 \, x {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)} + 2795 \, x\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)} + 2 \, {\left(235 \, x {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)} + {\left(38 \, x {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)} + 235 \, x\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)} + 25 \, x\right)} \sqrt{-\frac{3}{4} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{2} - \frac{1}{2} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i + 9\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)} - \frac{3}{4} \, {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)}^{2} - 60 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 24 i - 31} + 9000 \, x + 4175 \, \sqrt{2 \, x^{2} + 1} - 4175}{25 \, x}\right) + \frac{1}{20} \, {\left(5 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 5 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} + \sqrt{-\frac{3}{4} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{2} - \frac{1}{2} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i + 9\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)} - \frac{3}{4} \, {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)}^{2} - 60 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 24 i - 31} + 3\right)} \log\left(\frac{235 \, x {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{2} + {\left(38 \, x {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)} + 235 \, x\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)}^{2} + 2795 \, x {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)} + {\left(38 \, x {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{2} + 456 \, x {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)} + 2795 \, x\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)} - 2 \, {\left(235 \, x {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)} + {\left(38 \, x {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)} + 235 \, x\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)} + 25 \, x\right)} \sqrt{-\frac{3}{4} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i - 3\right)}^{2} - \frac{1}{2} \, {\left(10 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} + 4 i + 9\right)} {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)} - \frac{3}{4} \, {\left(10 \, \sqrt{-\frac{7}{200} i + \frac{1}{200}} - 4 i - 3\right)}^{2} - 60 \, \sqrt{\frac{7}{200} i + \frac{1}{200}} - 24 i - 31} + 9000 \, x + 4175 \, \sqrt{2 \, x^{2} + 1} - 4175}{25 \, x}\right) + \frac{1}{2} \, \sqrt{2} \log\left(\sqrt{2} x - \sqrt{2 \, x^{2} + 1}\right) - \frac{1}{5} \, \arctan\left(x\right) - \frac{1}{5} \, \arctan\left(\frac{x + \sqrt{2 \, x^{2} + 1} - 1}{x}\right) + \frac{1}{5} \, \arctan\left(-\frac{x - \sqrt{2 \, x^{2} + 1} + 1}{x}\right) + \frac{1}{5} \, \log\left(x^{2} + 1\right) - 2 \, \log\left(x\right) - \frac{1}{5} \, \log\left(\frac{2 \, x^{2} - \sqrt{2 \, x^{2} + 1} {\left(x + 1\right)} + x + 1}{x^{2}}\right) + \frac{1}{5} \, \log\left(\frac{2 \, x^{2} + \sqrt{2 \, x^{2} + 1} {\left(x - 1\right)} - x + 1}{x^{2}}\right)"," ",0,"-x^2 - 1/20*(10*sqrt(7/200*I + 1/200) + 4*I - 3)*log(17/25*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^3 - 11/25*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^2 + 167*x - 54*sqrt(7/200*I + 1/200) - 108/5*I - 254/5) - 1/20*(10*sqrt(-7/200*I + 1/200) - 4*I - 3)*log(-17/25*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^3 - 2/25*(85*sqrt(7/200*I + 1/200) + 34*I + 82)*(10*sqrt(-7/200*I + 1/200) - 4*I - 3)^2 - 204/25*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^2 - 1/25*(17*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^2 + 2040*sqrt(7/200*I + 1/200) + 816*I + 968)*(10*sqrt(-7/200*I + 1/200) - 4*I - 3) + 167*x - 578*sqrt(7/200*I + 1/200) - 1156/5*I - 658/5) + 1/20*(5*sqrt(7/200*I + 1/200) + 5*sqrt(-7/200*I + 1/200) - sqrt(-3/4*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^2 - 1/2*(10*sqrt(7/200*I + 1/200) + 4*I + 9)*(10*sqrt(-7/200*I + 1/200) - 4*I - 3) - 3/4*(10*sqrt(-7/200*I + 1/200) - 4*I - 3)^2 - 60*sqrt(7/200*I + 1/200) - 24*I - 31) + 3)*log(1/25*(85*sqrt(7/200*I + 1/200) + 34*I + 82)*(10*sqrt(-7/200*I + 1/200) - 4*I - 3)^2 + 43/10*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^2 + 1/50*(17*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^2 + 2040*sqrt(7/200*I + 1/200) + 816*I + 968)*(10*sqrt(-7/200*I + 1/200) - 4*I - 3) + 1/25*sqrt(-3/4*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^2 - 1/2*(10*sqrt(7/200*I + 1/200) + 4*I + 9)*(10*sqrt(-7/200*I + 1/200) - 4*I - 3) - 3/4*(10*sqrt(-7/200*I + 1/200) - 4*I - 3)^2 - 60*sqrt(7/200*I + 1/200) - 24*I - 31)*(2*(85*sqrt(7/200*I + 1/200) + 34*I + 82)*(10*sqrt(-7/200*I + 1/200) - 4*I - 3) + 2150*sqrt(7/200*I + 1/200) + 860*I + 355) + 167*x + 316*sqrt(7/200*I + 1/200) + 632/5*I + 456/5) + 1/20*(5*sqrt(7/200*I + 1/200) + 5*sqrt(-7/200*I + 1/200) + sqrt(-3/4*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^2 - 1/2*(10*sqrt(7/200*I + 1/200) + 4*I + 9)*(10*sqrt(-7/200*I + 1/200) - 4*I - 3) - 3/4*(10*sqrt(-7/200*I + 1/200) - 4*I - 3)^2 - 60*sqrt(7/200*I + 1/200) - 24*I - 31) + 3)*log(1/25*(85*sqrt(7/200*I + 1/200) + 34*I + 82)*(10*sqrt(-7/200*I + 1/200) - 4*I - 3)^2 + 43/10*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^2 + 1/50*(17*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^2 + 2040*sqrt(7/200*I + 1/200) + 816*I + 968)*(10*sqrt(-7/200*I + 1/200) - 4*I - 3) - 1/25*sqrt(-3/4*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^2 - 1/2*(10*sqrt(7/200*I + 1/200) + 4*I + 9)*(10*sqrt(-7/200*I + 1/200) - 4*I - 3) - 3/4*(10*sqrt(-7/200*I + 1/200) - 4*I - 3)^2 - 60*sqrt(7/200*I + 1/200) - 24*I - 31)*(2*(85*sqrt(7/200*I + 1/200) + 34*I + 82)*(10*sqrt(-7/200*I + 1/200) - 4*I - 3) + 2150*sqrt(7/200*I + 1/200) + 860*I + 355) + 167*x + 316*sqrt(7/200*I + 1/200) + 632/5*I + 456/5) - 1/20*(10*sqrt(-7/200*I + 1/200) - 4*I - 3)*log(-1/25*(76*x*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^3 + 912*x*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^2 + 2*(38*x*(10*sqrt(7/200*I + 1/200) + 4*I - 3) + 235*x)*(10*sqrt(-7/200*I + 1/200) - 4*I - 3)^2 + 6460*x*(10*sqrt(7/200*I + 1/200) + 4*I - 3) + 2*(38*x*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^2 + 456*x*(10*sqrt(7/200*I + 1/200) + 4*I - 3) + 2795*x)*(10*sqrt(-7/200*I + 1/200) - 4*I - 3) + 30650*x - 4175*sqrt(2*x^2 + 1) + 4175)/x) - 1/20*(10*sqrt(7/200*I + 1/200) + 4*I - 3)*log(1/25*(76*x*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^3 + 442*x*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^2 + 870*x*(10*sqrt(7/200*I + 1/200) + 4*I - 3) - 4050*x + 4175*sqrt(2*x^2 + 1) - 4175)/x) - 1/20*(10*sqrt(7/200*I + 1/200) - 4*I + 3)*log(1/5*(28*x*(10*sqrt(-7/200*I + 1/200) + 4*I + 3)^3 + 2*(14*x*(10*sqrt(-7/200*I + 1/200) + 4*I + 3) - 69*x)*(10*sqrt(7/200*I + 1/200) - 4*I + 3)^2 - 336*x*(10*sqrt(-7/200*I + 1/200) + 4*I + 3)^2 + 2*(14*x*(10*sqrt(-7/200*I + 1/200) + 4*I + 3)^2 - 168*x*(10*sqrt(-7/200*I + 1/200) + 4*I + 3) + 643*x)*(10*sqrt(7/200*I + 1/200) - 4*I + 3) + 2380*x*(10*sqrt(-7/200*I + 1/200) + 4*I + 3) - 6370*x + 835*sqrt(2*x^2 + 1) - 835)/x) - 1/20*(10*sqrt(-7/200*I + 1/200) + 4*I + 3)*log(-1/5*(28*x*(10*sqrt(-7/200*I + 1/200) + 4*I + 3)^3 - 198*x*(10*sqrt(-7/200*I + 1/200) + 4*I + 3)^2 + 1094*x*(10*sqrt(-7/200*I + 1/200) + 4*I + 3) - 3430*x - 835*sqrt(2*x^2 + 1) + 835)/x) + 1/20*(5*sqrt(7/200*I + 1/200) + 5*sqrt(-7/200*I + 1/200) - sqrt(-3/4*(10*sqrt(7/200*I + 1/200) - 4*I + 3)^2 - 3/4*(10*sqrt(-7/200*I + 1/200) + 4*I + 3)^2 - 1/2*(10*sqrt(7/200*I + 1/200) - 4*I + 3)*(10*sqrt(-7/200*I + 1/200) + 4*I - 9) + 60*sqrt(-7/200*I + 1/200) + 24*I - 31) - 3)*log(-1/5*((14*x*(10*sqrt(-7/200*I + 1/200) + 4*I + 3) - 69*x)*(10*sqrt(7/200*I + 1/200) - 4*I + 3)^2 - 69*x*(10*sqrt(-7/200*I + 1/200) + 4*I + 3)^2 + (14*x*(10*sqrt(-7/200*I + 1/200) + 4*I + 3)^2 - 168*x*(10*sqrt(-7/200*I + 1/200) + 4*I + 3) + 643*x)*(10*sqrt(7/200*I + 1/200) - 4*I + 3) + 643*x*(10*sqrt(-7/200*I + 1/200) + 4*I + 3) + 2*((14*x*(10*sqrt(-7/200*I + 1/200) + 4*I + 3) - 69*x)*(10*sqrt(7/200*I + 1/200) - 4*I + 3) - 69*x*(10*sqrt(-7/200*I + 1/200) + 4*I + 3) + 185*x)*sqrt(-3/4*(10*sqrt(7/200*I + 1/200) - 4*I + 3)^2 - 3/4*(10*sqrt(-7/200*I + 1/200) + 4*I + 3)^2 - 1/2*(10*sqrt(7/200*I + 1/200) - 4*I + 3)*(10*sqrt(-7/200*I + 1/200) + 4*I - 9) + 60*sqrt(-7/200*I + 1/200) + 24*I - 31) - 3140*x - 835*sqrt(2*x^2 + 1) + 835)/x) + 1/20*(5*sqrt(7/200*I + 1/200) + 5*sqrt(-7/200*I + 1/200) + sqrt(-3/4*(10*sqrt(7/200*I + 1/200) - 4*I + 3)^2 - 3/4*(10*sqrt(-7/200*I + 1/200) + 4*I + 3)^2 - 1/2*(10*sqrt(7/200*I + 1/200) - 4*I + 3)*(10*sqrt(-7/200*I + 1/200) + 4*I - 9) + 60*sqrt(-7/200*I + 1/200) + 24*I - 31) - 3)*log(-1/5*((14*x*(10*sqrt(-7/200*I + 1/200) + 4*I + 3) - 69*x)*(10*sqrt(7/200*I + 1/200) - 4*I + 3)^2 - 69*x*(10*sqrt(-7/200*I + 1/200) + 4*I + 3)^2 + (14*x*(10*sqrt(-7/200*I + 1/200) + 4*I + 3)^2 - 168*x*(10*sqrt(-7/200*I + 1/200) + 4*I + 3) + 643*x)*(10*sqrt(7/200*I + 1/200) - 4*I + 3) + 643*x*(10*sqrt(-7/200*I + 1/200) + 4*I + 3) - 2*((14*x*(10*sqrt(-7/200*I + 1/200) + 4*I + 3) - 69*x)*(10*sqrt(7/200*I + 1/200) - 4*I + 3) - 69*x*(10*sqrt(-7/200*I + 1/200) + 4*I + 3) + 185*x)*sqrt(-3/4*(10*sqrt(7/200*I + 1/200) - 4*I + 3)^2 - 3/4*(10*sqrt(-7/200*I + 1/200) + 4*I + 3)^2 - 1/2*(10*sqrt(7/200*I + 1/200) - 4*I + 3)*(10*sqrt(-7/200*I + 1/200) + 4*I - 9) + 60*sqrt(-7/200*I + 1/200) + 24*I - 31) - 3140*x - 835*sqrt(2*x^2 + 1) + 835)/x) + 1/20*(5*sqrt(7/200*I + 1/200) + 5*sqrt(-7/200*I + 1/200) - sqrt(-3/4*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^2 - 1/2*(10*sqrt(7/200*I + 1/200) + 4*I + 9)*(10*sqrt(-7/200*I + 1/200) - 4*I - 3) - 3/4*(10*sqrt(-7/200*I + 1/200) - 4*I - 3)^2 - 60*sqrt(7/200*I + 1/200) - 24*I - 31) + 3)*log(1/25*(235*x*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^2 + (38*x*(10*sqrt(7/200*I + 1/200) + 4*I - 3) + 235*x)*(10*sqrt(-7/200*I + 1/200) - 4*I - 3)^2 + 2795*x*(10*sqrt(7/200*I + 1/200) + 4*I - 3) + (38*x*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^2 + 456*x*(10*sqrt(7/200*I + 1/200) + 4*I - 3) + 2795*x)*(10*sqrt(-7/200*I + 1/200) - 4*I - 3) + 2*(235*x*(10*sqrt(7/200*I + 1/200) + 4*I - 3) + (38*x*(10*sqrt(7/200*I + 1/200) + 4*I - 3) + 235*x)*(10*sqrt(-7/200*I + 1/200) - 4*I - 3) + 25*x)*sqrt(-3/4*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^2 - 1/2*(10*sqrt(7/200*I + 1/200) + 4*I + 9)*(10*sqrt(-7/200*I + 1/200) - 4*I - 3) - 3/4*(10*sqrt(-7/200*I + 1/200) - 4*I - 3)^2 - 60*sqrt(7/200*I + 1/200) - 24*I - 31) + 9000*x + 4175*sqrt(2*x^2 + 1) - 4175)/x) + 1/20*(5*sqrt(7/200*I + 1/200) + 5*sqrt(-7/200*I + 1/200) + sqrt(-3/4*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^2 - 1/2*(10*sqrt(7/200*I + 1/200) + 4*I + 9)*(10*sqrt(-7/200*I + 1/200) - 4*I - 3) - 3/4*(10*sqrt(-7/200*I + 1/200) - 4*I - 3)^2 - 60*sqrt(7/200*I + 1/200) - 24*I - 31) + 3)*log(1/25*(235*x*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^2 + (38*x*(10*sqrt(7/200*I + 1/200) + 4*I - 3) + 235*x)*(10*sqrt(-7/200*I + 1/200) - 4*I - 3)^2 + 2795*x*(10*sqrt(7/200*I + 1/200) + 4*I - 3) + (38*x*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^2 + 456*x*(10*sqrt(7/200*I + 1/200) + 4*I - 3) + 2795*x)*(10*sqrt(-7/200*I + 1/200) - 4*I - 3) - 2*(235*x*(10*sqrt(7/200*I + 1/200) + 4*I - 3) + (38*x*(10*sqrt(7/200*I + 1/200) + 4*I - 3) + 235*x)*(10*sqrt(-7/200*I + 1/200) - 4*I - 3) + 25*x)*sqrt(-3/4*(10*sqrt(7/200*I + 1/200) + 4*I - 3)^2 - 1/2*(10*sqrt(7/200*I + 1/200) + 4*I + 9)*(10*sqrt(-7/200*I + 1/200) - 4*I - 3) - 3/4*(10*sqrt(-7/200*I + 1/200) - 4*I - 3)^2 - 60*sqrt(7/200*I + 1/200) - 24*I - 31) + 9000*x + 4175*sqrt(2*x^2 + 1) - 4175)/x) + 1/2*sqrt(2)*log(sqrt(2)*x - sqrt(2*x^2 + 1)) - 1/5*arctan(x) - 1/5*arctan((x + sqrt(2*x^2 + 1) - 1)/x) + 1/5*arctan(-(x - sqrt(2*x^2 + 1) + 1)/x) + 1/5*log(x^2 + 1) - 2*log(x) - 1/5*log((2*x^2 - sqrt(2*x^2 + 1)*(x + 1) + x + 1)/x^2) + 1/5*log((2*x^2 + sqrt(2*x^2 + 1)*(x - 1) - x + 1)/x^2)","B",0
2927,1,325,0,0.501662," ","integrate((x^3-b)*(x^3+b)*(x^3-c)/(a*x^2+x^3)^(1/3),x, algorithm=""fricas"")","\frac{280 \, \sqrt{3} {\left(135850 \, a^{9} - 275562 \, a^{3} b^{2} + 243 \, {\left(728 \, a^{6} - 6561 \, b^{2}\right)} c\right)} x \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(a x^{2} + x^{3}\right)}^{\frac{1}{3}}}{3 \, x}\right) + 280 \, {\left(135850 \, a^{9} - 275562 \, a^{3} b^{2} + 243 \, {\left(728 \, a^{6} - 6561 \, b^{2}\right)} c\right)} x \log\left(-\frac{x - {\left(a x^{2} + x^{3}\right)}^{\frac{1}{3}}}{x}\right) - 140 \, {\left(135850 \, a^{9} - 275562 \, a^{3} b^{2} + 243 \, {\left(728 \, a^{6} - 6561 \, b^{2}\right)} c\right)} x \log\left(\frac{x^{2} + {\left(a x^{2} + x^{3}\right)}^{\frac{1}{3}} x + {\left(a x^{2} + x^{3}\right)}^{\frac{2}{3}}}{x^{2}}\right) + 3 \, {\left(38038000 \, a^{8} + 18042750 \, a^{2} x^{6} - 17222625 \, a x^{7} + 16533720 \, x^{8} + 49533120 \, a^{5} c - 3645 \, {\left(5225 \, a^{3} + 6804 \, c\right)} x^{5} + 3888 \, {\left(5225 \, a^{4} + 6804 \, a c\right)} x^{4} - 77157360 \, a^{2} b^{2} - 4212 \, {\left(5225 \, a^{5} + 6804 \, a^{2} c\right)} x^{3} + 360 \, {\left(67925 \, a^{6} + 88452 \, a^{3} c - 137781 \, b^{2}\right)} x^{2} - 420 \, {\left(67925 \, a^{7} + 88452 \, a^{4} c - 137781 \, a b^{2}\right)} x\right)} {\left(a x^{2} + x^{3}\right)}^{\frac{2}{3}}}{446410440 \, x}"," ",0,"1/446410440*(280*sqrt(3)*(135850*a^9 - 275562*a^3*b^2 + 243*(728*a^6 - 6561*b^2)*c)*x*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(a*x^2 + x^3)^(1/3))/x) + 280*(135850*a^9 - 275562*a^3*b^2 + 243*(728*a^6 - 6561*b^2)*c)*x*log(-(x - (a*x^2 + x^3)^(1/3))/x) - 140*(135850*a^9 - 275562*a^3*b^2 + 243*(728*a^6 - 6561*b^2)*c)*x*log((x^2 + (a*x^2 + x^3)^(1/3)*x + (a*x^2 + x^3)^(2/3))/x^2) + 3*(38038000*a^8 + 18042750*a^2*x^6 - 17222625*a*x^7 + 16533720*x^8 + 49533120*a^5*c - 3645*(5225*a^3 + 6804*c)*x^5 + 3888*(5225*a^4 + 6804*a*c)*x^4 - 77157360*a^2*b^2 - 4212*(5225*a^5 + 6804*a^2*c)*x^3 + 360*(67925*a^6 + 88452*a^3*c - 137781*b^2)*x^2 - 420*(67925*a^7 + 88452*a^4*c - 137781*a*b^2)*x)*(a*x^2 + x^3)^(2/3))/x","A",0
2928,-1,0,0,0.000000," ","integrate(x*(-a+x)*(-b+x)*(a*b-2*b*x+x^2)/(x*(-a+x)*(-b+x)^2)^(2/3)/(-b^2+2*b*x-(-a^2*d+1)*x^2-2*a*d*x^3+d*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2929,-1,0,0,0.000000," ","integrate((x^4-a*x^2-b)*(a*x^4-b*x^2)^(1/4)/(a*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2930,-1,0,0,0.000000," ","integrate((x^4-a*x^2-b)*(a*x^4-b*x^2)^(1/4)/(a*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2931,-1,0,0,0.000000," ","integrate((a^2*x^2+a*b*c-b^2*x)/(a*x^2+b*x+c)^(1/2)/(b*x^2+c),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2932,-1,0,0,0.000000," ","integrate((x^4+a*x^2+b)*(a*x^4-b*x^2)^(1/4)/(a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2933,-1,0,0,0.000000," ","integrate((x^4+a*x^2+b)*(a*x^4-b*x^2)^(1/4)/(a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2934,-1,0,0,0.000000," ","integrate((-1+(-1+2*k)*x)*(x^2-2*x+1)/((1-x)*x*(-k*x+1))^(1/3)/(-b+4*b*x+(1-6*b)*x^2+(4*b-2*k)*x^3+(k^2-b)*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2935,-1,0,0,0.000000," ","integrate(1/(a*x+b)/(a^2*x^3+b^2*x)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2936,-1,0,0,0.000000," ","integrate((a*x^4-b)*(a*x^4-b*x^2)^(1/4)/(x^4-a*x^2-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2937,-1,0,0,0.000000," ","integrate((a*x^4-b)*(a*x^4-b*x^2)^(1/4)/(x^4-a*x^2-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2938,1,811,0,1.964996," ","integrate((-b+x)*(-4*a+b+3*x)/((-a+x)*(-b+x)^2)^(1/3)/(a+b^4*d-(4*b^3*d+1)*x+6*b^2*d*x^2-4*b*d*x^3+d*x^4),x, algorithm=""fricas"")","\left[\frac{\sqrt{3} d \sqrt{-\frac{1}{d^{\frac{2}{3}}}} \log\left(-\frac{b^{4} d + 6 \, b^{2} d x^{2} - 4 \, b d x^{3} + d x^{4} - 3 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(b^{2} - 2 \, b x + x^{2}\right)} d^{\frac{2}{3}} - 2 \, {\left(2 \, b^{3} d - 1\right)} x - \sqrt{3} {\left({\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(b^{2} d - 2 \, b d x + d x^{2}\right)} + {\left(b^{4} d - 4 \, b^{3} d x + 6 \, b^{2} d x^{2} - 4 \, b d x^{3} + d x^{4}\right)} d^{\frac{1}{3}} - 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d^{\frac{2}{3}}\right)} \sqrt{-\frac{1}{d^{\frac{2}{3}}}} - 2 \, a}{b^{4} d + 6 \, b^{2} d x^{2} - 4 \, b d x^{3} + d x^{4} - {\left(4 \, b^{3} d + 1\right)} x + a}\right) - d^{\frac{2}{3}} \log\left(\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(b^{2} - 2 \, b x + x^{2}\right)} d^{\frac{1}{3}} + {\left(b^{4} - 4 \, b^{3} x + 6 \, b^{2} x^{2} - 4 \, b x^{3} + x^{4}\right)} d^{\frac{2}{3}} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}}}{b^{4} - 4 \, b^{3} x + 6 \, b^{2} x^{2} - 4 \, b x^{3} + x^{4}}\right) + 2 \, d^{\frac{2}{3}} \log\left(-\frac{{\left(b^{2} - 2 \, b x + x^{2}\right)} d^{\frac{1}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}}}{b^{2} - 2 \, b x + x^{2}}\right)}{2 \, d}, \frac{2 \, \sqrt{3} d^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left({\left(b^{2} - 2 \, b x + x^{2}\right)} d^{\frac{1}{3}} + 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}}\right)}}{3 \, {\left(b^{2} - 2 \, b x + x^{2}\right)} d^{\frac{1}{3}}}\right) - d^{\frac{2}{3}} \log\left(\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(b^{2} - 2 \, b x + x^{2}\right)} d^{\frac{1}{3}} + {\left(b^{4} - 4 \, b^{3} x + 6 \, b^{2} x^{2} - 4 \, b x^{3} + x^{4}\right)} d^{\frac{2}{3}} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}}}{b^{4} - 4 \, b^{3} x + 6 \, b^{2} x^{2} - 4 \, b x^{3} + x^{4}}\right) + 2 \, d^{\frac{2}{3}} \log\left(-\frac{{\left(b^{2} - 2 \, b x + x^{2}\right)} d^{\frac{1}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}}}{b^{2} - 2 \, b x + x^{2}}\right)}{2 \, d}\right]"," ",0,"[1/2*(sqrt(3)*d*sqrt(-1/d^(2/3))*log(-(b^4*d + 6*b^2*d*x^2 - 4*b*d*x^3 + d*x^4 - 3*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(b^2 - 2*b*x + x^2)*d^(2/3) - 2*(2*b^3*d - 1)*x - sqrt(3)*((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(b^2*d - 2*b*d*x + d*x^2) + (b^4*d - 4*b^3*d*x + 6*b^2*d*x^2 - 4*b*d*x^3 + d*x^4)*d^(1/3) - 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d^(2/3))*sqrt(-1/d^(2/3)) - 2*a)/(b^4*d + 6*b^2*d*x^2 - 4*b*d*x^3 + d*x^4 - (4*b^3*d + 1)*x + a)) - d^(2/3)*log(((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(b^2 - 2*b*x + x^2)*d^(1/3) + (b^4 - 4*b^3*x + 6*b^2*x^2 - 4*b*x^3 + x^4)*d^(2/3) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3))/(b^4 - 4*b^3*x + 6*b^2*x^2 - 4*b*x^3 + x^4)) + 2*d^(2/3)*log(-((b^2 - 2*b*x + x^2)*d^(1/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3))/(b^2 - 2*b*x + x^2)))/d, 1/2*(2*sqrt(3)*d^(2/3)*arctan(1/3*sqrt(3)*((b^2 - 2*b*x + x^2)*d^(1/3) + 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3))/((b^2 - 2*b*x + x^2)*d^(1/3))) - d^(2/3)*log(((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(b^2 - 2*b*x + x^2)*d^(1/3) + (b^4 - 4*b^3*x + 6*b^2*x^2 - 4*b*x^3 + x^4)*d^(2/3) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3))/(b^4 - 4*b^3*x + 6*b^2*x^2 - 4*b*x^3 + x^4)) + 2*d^(2/3)*log(-((b^2 - 2*b*x + x^2)*d^(1/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3))/(b^2 - 2*b*x + x^2)))/d]","A",0
2939,-2,0,0,0.000000," ","integrate((c*x^2+d)*(a*x+(a^2*x^2+b^2)^(1/2))^(1/2)/(e*x^2+f),x, algorithm=""fricas"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> the translation of the FriCAS object sage2 to sage is not yet implemented","F(-2)",0
2940,1,10165,0,25.618840," ","integrate((x^2+1)*(x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2)/(x^4+x^2-1),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{-\frac{1}{50} \, \sqrt{5} - \frac{1}{2} \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} + \frac{1}{20}} \log\left(\frac{111070 \, x^{4} - {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{3} - 20 \, {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - {\left(501 \, x^{4} - 242 \, x^{2} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 22 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 69215 \, x^{2} + 215 \, {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - {\left(9155 \, x^{4} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - 5040 \, x^{2} + 20 \, {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 5 \, \sqrt{x^{4} + 1} {\left(1433 \, x^{2} - 1008\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5210 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + 2 \, {\left({\left(695 \, x^{5} + 2270 \, x^{3} + {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - 1745 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} + {\left(12605 \, x^{5} + 42455 \, x^{3} + {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + 20 \, {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{x^{4} + 1} {\left(2521 \, x^{3} - 1857 \, x\right)} - 32505 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - {\left(170000 \, x^{5} - {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{3} + 548400 \, x^{3} - 20 \, {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + 215 \, {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 25 \, \sqrt{x^{4} + 1} {\left(6800 \, x^{3} - 4141 \, x\right)} - 402425 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\right)} \sqrt{-\frac{1}{50} \, \sqrt{5} - \frac{1}{2} \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} + \frac{1}{20}}}{5 \, {\left(x^{4} + x^{2} - 1\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{50} \, \sqrt{5} - \frac{1}{2} \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} + \frac{1}{20}} \log\left(\frac{111070 \, x^{4} - {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{3} - 20 \, {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - {\left(501 \, x^{4} - 242 \, x^{2} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 22 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 69215 \, x^{2} + 215 \, {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - {\left(9155 \, x^{4} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - 5040 \, x^{2} + 20 \, {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 5 \, \sqrt{x^{4} + 1} {\left(1433 \, x^{2} - 1008\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5210 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} - 2 \, {\left({\left(695 \, x^{5} + 2270 \, x^{3} + {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - 1745 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} + {\left(12605 \, x^{5} + 42455 \, x^{3} + {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + 20 \, {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{x^{4} + 1} {\left(2521 \, x^{3} - 1857 \, x\right)} - 32505 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - {\left(170000 \, x^{5} - {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{3} + 548400 \, x^{3} - 20 \, {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + 215 \, {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 25 \, \sqrt{x^{4} + 1} {\left(6800 \, x^{3} - 4141 \, x\right)} - 402425 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\right)} \sqrt{-\frac{1}{50} \, \sqrt{5} - \frac{1}{2} \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} + \frac{1}{20}}}{5 \, {\left(x^{4} + x^{2} - 1\right)}}\right) - \frac{1}{20} \, \sqrt{\sqrt{5} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73} + \frac{5}{2} \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 25 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} + 5} \log\left(-\frac{52950 \, x^{4} - 5 \, {\left(501 \, x^{4} - 242 \, x^{2} + 22 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - 5 \, {\left(501 \, x^{4} - 242 \, x^{2} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 22 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} + 191850 \, x^{2} - 25 \, {\left(1831 \, x^{4} - 1008 \, x^{2} + \sqrt{x^{4} + 1} {\left(1433 \, x^{2} - 1008\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, {\left(9155 \, x^{4} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - 5040 \, x^{2} + 20 \, {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 5 \, \sqrt{x^{4} + 1} {\left(1433 \, x^{2} - 1008\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - 100 \, \sqrt{x^{4} + 1} {\left(109 \, x^{2} - 728\right)} + 10 \, {\left(5 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(151 \, x^{2} + 40\right)} + {\left(22 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + \sqrt{5} {\left(501 \, x^{4} - 242 \, x^{2}\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + {\left(22 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + {\left(21 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + \sqrt{5} {\left(370 \, x^{4} - 231 \, x^{2}\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + \sqrt{5} {\left(501 \, x^{4} - 242 \, x^{2}\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5 \, \sqrt{5} {\left(173 \, x^{4} + 40 \, x^{2}\right)}\right)} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73} + {\left({\left(695 \, x^{5} + 2270 \, x^{3} + {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - 1745 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} + {\left(12605 \, x^{5} + 42455 \, x^{3} + {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + 20 \, {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{x^{4} + 1} {\left(2521 \, x^{3} - 1857 \, x\right)} - 32505 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5 \, {\left(3050 \, x^{5} + 12360 \, x^{3} + {\left(139 \, x^{5} + 454 \, x^{3} - \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - 349 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + {\left(2521 \, x^{5} + 8491 \, x^{3} - \sqrt{x^{4} + 1} {\left(2521 \, x^{3} - 1857 \, x\right)} - 6501 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 10 \, \sqrt{x^{4} + 1} {\left(305 \, x^{3} - 219 \, x\right)} - 1320 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 2 \, {\left({\left(5 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - \sqrt{5} {\left(1421 \, x^{5} + 1301 \, x^{3} - 1341 \, x\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{5} {\left(139 \, x^{5} + 454 \, x^{3} - 349 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5 \, {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(259 \, x^{3} + 17 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - \sqrt{5} {\left(139 \, x^{5} + 454 \, x^{3} - 349 \, x\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - \sqrt{5} {\left(259 \, x^{5} + 589 \, x^{3} - 479 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\right)} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73}\right)} \sqrt{\sqrt{5} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73} + \frac{5}{2} \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 25 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} + 5}}{10 \, {\left(x^{4} + x^{2} - 1\right)}}\right) + \frac{1}{20} \, \sqrt{\sqrt{5} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73} + \frac{5}{2} \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 25 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} + 5} \log\left(-\frac{52950 \, x^{4} - 5 \, {\left(501 \, x^{4} - 242 \, x^{2} + 22 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - 5 \, {\left(501 \, x^{4} - 242 \, x^{2} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 22 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} + 191850 \, x^{2} - 25 \, {\left(1831 \, x^{4} - 1008 \, x^{2} + \sqrt{x^{4} + 1} {\left(1433 \, x^{2} - 1008\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, {\left(9155 \, x^{4} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - 5040 \, x^{2} + 20 \, {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 5 \, \sqrt{x^{4} + 1} {\left(1433 \, x^{2} - 1008\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - 100 \, \sqrt{x^{4} + 1} {\left(109 \, x^{2} - 728\right)} + 10 \, {\left(5 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(151 \, x^{2} + 40\right)} + {\left(22 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + \sqrt{5} {\left(501 \, x^{4} - 242 \, x^{2}\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + {\left(22 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + {\left(21 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + \sqrt{5} {\left(370 \, x^{4} - 231 \, x^{2}\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + \sqrt{5} {\left(501 \, x^{4} - 242 \, x^{2}\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5 \, \sqrt{5} {\left(173 \, x^{4} + 40 \, x^{2}\right)}\right)} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73} - {\left({\left(695 \, x^{5} + 2270 \, x^{3} + {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - 1745 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} + {\left(12605 \, x^{5} + 42455 \, x^{3} + {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + 20 \, {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{x^{4} + 1} {\left(2521 \, x^{3} - 1857 \, x\right)} - 32505 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5 \, {\left(3050 \, x^{5} + 12360 \, x^{3} + {\left(139 \, x^{5} + 454 \, x^{3} - \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - 349 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + {\left(2521 \, x^{5} + 8491 \, x^{3} - \sqrt{x^{4} + 1} {\left(2521 \, x^{3} - 1857 \, x\right)} - 6501 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 10 \, \sqrt{x^{4} + 1} {\left(305 \, x^{3} - 219 \, x\right)} - 1320 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 2 \, {\left({\left(5 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - \sqrt{5} {\left(1421 \, x^{5} + 1301 \, x^{3} - 1341 \, x\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{5} {\left(139 \, x^{5} + 454 \, x^{3} - 349 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5 \, {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(259 \, x^{3} + 17 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - \sqrt{5} {\left(139 \, x^{5} + 454 \, x^{3} - 349 \, x\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - \sqrt{5} {\left(259 \, x^{5} + 589 \, x^{3} - 479 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\right)} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73}\right)} \sqrt{\sqrt{5} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73} + \frac{5}{2} \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 25 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} + 5}}{10 \, {\left(x^{4} + x^{2} - 1\right)}}\right) - \frac{1}{20} \, \sqrt{-\sqrt{5} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73} + \frac{5}{2} \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 25 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} + 5} \log\left(-\frac{52950 \, x^{4} - 5 \, {\left(501 \, x^{4} - 242 \, x^{2} + 22 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - 5 \, {\left(501 \, x^{4} - 242 \, x^{2} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 22 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} + 191850 \, x^{2} - 25 \, {\left(1831 \, x^{4} - 1008 \, x^{2} + \sqrt{x^{4} + 1} {\left(1433 \, x^{2} - 1008\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, {\left(9155 \, x^{4} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - 5040 \, x^{2} + 20 \, {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 5 \, \sqrt{x^{4} + 1} {\left(1433 \, x^{2} - 1008\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - 100 \, \sqrt{x^{4} + 1} {\left(109 \, x^{2} - 728\right)} - 10 \, {\left(5 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(151 \, x^{2} + 40\right)} + {\left(22 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + \sqrt{5} {\left(501 \, x^{4} - 242 \, x^{2}\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + {\left(22 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + {\left(21 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + \sqrt{5} {\left(370 \, x^{4} - 231 \, x^{2}\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + \sqrt{5} {\left(501 \, x^{4} - 242 \, x^{2}\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5 \, \sqrt{5} {\left(173 \, x^{4} + 40 \, x^{2}\right)}\right)} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73} + {\left({\left(695 \, x^{5} + 2270 \, x^{3} + {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - 1745 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} + {\left(12605 \, x^{5} + 42455 \, x^{3} + {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + 20 \, {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{x^{4} + 1} {\left(2521 \, x^{3} - 1857 \, x\right)} - 32505 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5 \, {\left(3050 \, x^{5} + 12360 \, x^{3} + {\left(139 \, x^{5} + 454 \, x^{3} - \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - 349 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + {\left(2521 \, x^{5} + 8491 \, x^{3} - \sqrt{x^{4} + 1} {\left(2521 \, x^{3} - 1857 \, x\right)} - 6501 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 10 \, \sqrt{x^{4} + 1} {\left(305 \, x^{3} - 219 \, x\right)} - 1320 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} - 2 \, {\left({\left(5 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - \sqrt{5} {\left(1421 \, x^{5} + 1301 \, x^{3} - 1341 \, x\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{5} {\left(139 \, x^{5} + 454 \, x^{3} - 349 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5 \, {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(259 \, x^{3} + 17 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - \sqrt{5} {\left(139 \, x^{5} + 454 \, x^{3} - 349 \, x\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - \sqrt{5} {\left(259 \, x^{5} + 589 \, x^{3} - 479 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\right)} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73}\right)} \sqrt{-\sqrt{5} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73} + \frac{5}{2} \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 25 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} + 5}}{10 \, {\left(x^{4} + x^{2} - 1\right)}}\right) + \frac{1}{20} \, \sqrt{-\sqrt{5} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73} + \frac{5}{2} \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 25 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} + 5} \log\left(-\frac{52950 \, x^{4} - 5 \, {\left(501 \, x^{4} - 242 \, x^{2} + 22 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - 5 \, {\left(501 \, x^{4} - 242 \, x^{2} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 22 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} + 191850 \, x^{2} - 25 \, {\left(1831 \, x^{4} - 1008 \, x^{2} + \sqrt{x^{4} + 1} {\left(1433 \, x^{2} - 1008\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, {\left(9155 \, x^{4} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - 5040 \, x^{2} + 20 \, {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 5 \, \sqrt{x^{4} + 1} {\left(1433 \, x^{2} - 1008\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - 100 \, \sqrt{x^{4} + 1} {\left(109 \, x^{2} - 728\right)} - 10 \, {\left(5 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(151 \, x^{2} + 40\right)} + {\left(22 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + \sqrt{5} {\left(501 \, x^{4} - 242 \, x^{2}\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + {\left(22 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + {\left(21 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + \sqrt{5} {\left(370 \, x^{4} - 231 \, x^{2}\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + \sqrt{5} {\left(501 \, x^{4} - 242 \, x^{2}\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5 \, \sqrt{5} {\left(173 \, x^{4} + 40 \, x^{2}\right)}\right)} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73} - {\left({\left(695 \, x^{5} + 2270 \, x^{3} + {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - 1745 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} + {\left(12605 \, x^{5} + 42455 \, x^{3} + {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + 20 \, {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{x^{4} + 1} {\left(2521 \, x^{3} - 1857 \, x\right)} - 32505 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5 \, {\left(3050 \, x^{5} + 12360 \, x^{3} + {\left(139 \, x^{5} + 454 \, x^{3} - \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - 349 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + {\left(2521 \, x^{5} + 8491 \, x^{3} - \sqrt{x^{4} + 1} {\left(2521 \, x^{3} - 1857 \, x\right)} - 6501 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 10 \, \sqrt{x^{4} + 1} {\left(305 \, x^{3} - 219 \, x\right)} - 1320 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} - 2 \, {\left({\left(5 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - \sqrt{5} {\left(1421 \, x^{5} + 1301 \, x^{3} - 1341 \, x\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{5} {\left(139 \, x^{5} + 454 \, x^{3} - 349 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5 \, {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(259 \, x^{3} + 17 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - \sqrt{5} {\left(139 \, x^{5} + 454 \, x^{3} - 349 \, x\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - \sqrt{5} {\left(259 \, x^{5} + 589 \, x^{3} - 479 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\right)} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73}\right)} \sqrt{-\sqrt{5} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73} + \frac{5}{2} \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 25 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} + 5}}{10 \, {\left(x^{4} + x^{2} - 1\right)}}\right) - \frac{1}{2} \, \sqrt{-\frac{1}{20} \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + \frac{1}{50} \, \sqrt{5} + \frac{1}{20}} \log\left(\frac{18570 \, x^{4} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{3} + {\left(6899 \, x^{4} - 4378 \, x^{2} + 398 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - 11465 \, x^{2} - 5 \, {\left(17741 \, x^{4} - 10941 \, x^{2} + \sqrt{x^{4} + 1} {\left(17687 \, x^{2} - 10941\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 2 \, {\left(185250 \, x^{5} - {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{3} - 223150 \, x^{3} - 5 \, {\left(5545 \, x^{5} + 4750 \, x^{3} - \sqrt{x^{4} + 1} {\left(5545 \, x^{3} - 3396 \, x\right)} - 5015 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + 5 \, {\left(63624 \, x^{5} + 64434 \, x^{3} - \sqrt{x^{4} + 1} {\left(63624 \, x^{3} - 39353 \, x\right)} - 64164 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 475 \, \sqrt{x^{4} + 1} {\left(390 \, x^{3} - 241 \, x\right)} + 67175 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{-\frac{1}{20} \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + \frac{1}{50} \, \sqrt{5} + \frac{1}{20}} - 40 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}}{5 \, {\left(x^{4} + x^{2} - 1\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{20} \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + \frac{1}{50} \, \sqrt{5} + \frac{1}{20}} \log\left(\frac{18570 \, x^{4} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{3} + {\left(6899 \, x^{4} - 4378 \, x^{2} + 398 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - 11465 \, x^{2} - 5 \, {\left(17741 \, x^{4} - 10941 \, x^{2} + \sqrt{x^{4} + 1} {\left(17687 \, x^{2} - 10941\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 2 \, {\left(185250 \, x^{5} - {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{3} - 223150 \, x^{3} - 5 \, {\left(5545 \, x^{5} + 4750 \, x^{3} - \sqrt{x^{4} + 1} {\left(5545 \, x^{3} - 3396 \, x\right)} - 5015 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + 5 \, {\left(63624 \, x^{5} + 64434 \, x^{3} - \sqrt{x^{4} + 1} {\left(63624 \, x^{3} - 39353 \, x\right)} - 64164 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 475 \, \sqrt{x^{4} + 1} {\left(390 \, x^{3} - 241 \, x\right)} + 67175 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{-\frac{1}{20} \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + \frac{1}{50} \, \sqrt{5} + \frac{1}{20}} - 40 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}}{5 \, {\left(x^{4} + x^{2} - 1\right)}}\right)"," ",0,"-1/2*sqrt(-1/50*sqrt(5) - 1/2*sqrt(-29/1000*sqrt(5) + 13/200) + 1/20)*log(1/5*(111070*x^4 - (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^3 - 20*(370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - (501*x^4 - 242*x^2 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 22*sqrt(x^4 + 1)*(18*x^2 - 11))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 69215*x^2 + 215*(370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - (9155*x^4 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 5040*x^2 + 20*(370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 5*sqrt(x^4 + 1)*(1433*x^2 - 1008))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5210*sqrt(x^4 + 1)*(18*x^2 - 11) + 2*((695*x^5 + 2270*x^3 + (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(x^4 + 1)*(139*x^3 - 92*x) - 1745*x)*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 + (12605*x^5 + 42455*x^3 + (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + 20*(1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(x^4 + 1)*(2521*x^3 - 1857*x) - 32505*x)*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - (170000*x^5 - (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^3 + 548400*x^3 - 20*(1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + 215*(1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 25*sqrt(x^4 + 1)*(6800*x^3 - 4141*x) - 402425*x)*sqrt(x^2 + sqrt(x^4 + 1)))*sqrt(-1/50*sqrt(5) - 1/2*sqrt(-29/1000*sqrt(5) + 13/200) + 1/20))/(x^4 + x^2 - 1)) + 1/2*sqrt(-1/50*sqrt(5) - 1/2*sqrt(-29/1000*sqrt(5) + 13/200) + 1/20)*log(1/5*(111070*x^4 - (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^3 - 20*(370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - (501*x^4 - 242*x^2 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 22*sqrt(x^4 + 1)*(18*x^2 - 11))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 69215*x^2 + 215*(370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - (9155*x^4 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 5040*x^2 + 20*(370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 5*sqrt(x^4 + 1)*(1433*x^2 - 1008))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5210*sqrt(x^4 + 1)*(18*x^2 - 11) - 2*((695*x^5 + 2270*x^3 + (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(x^4 + 1)*(139*x^3 - 92*x) - 1745*x)*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 + (12605*x^5 + 42455*x^3 + (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + 20*(1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(x^4 + 1)*(2521*x^3 - 1857*x) - 32505*x)*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - (170000*x^5 - (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^3 + 548400*x^3 - 20*(1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + 215*(1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 25*sqrt(x^4 + 1)*(6800*x^3 - 4141*x) - 402425*x)*sqrt(x^2 + sqrt(x^4 + 1)))*sqrt(-1/50*sqrt(5) - 1/2*sqrt(-29/1000*sqrt(5) + 13/200) + 1/20))/(x^4 + x^2 - 1)) - 1/20*sqrt(sqrt(5)*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73) + 5/2*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 25*sqrt(-29/1000*sqrt(5) + 13/200) + 5)*log(-1/10*(52950*x^4 - 5*(501*x^4 - 242*x^2 + 22*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 5*(501*x^4 - 242*x^2 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 22*sqrt(x^4 + 1)*(18*x^2 - 11))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 + 191850*x^2 - 25*(1831*x^4 - 1008*x^2 + sqrt(x^4 + 1)*(1433*x^2 - 1008))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*(9155*x^4 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 5040*x^2 + 20*(370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 5*sqrt(x^4 + 1)*(1433*x^2 - 1008))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 100*sqrt(x^4 + 1)*(109*x^2 - 728) + 10*(5*sqrt(5)*sqrt(x^4 + 1)*(151*x^2 + 40) + (22*sqrt(5)*sqrt(x^4 + 1)*(18*x^2 - 11) + sqrt(5)*(501*x^4 - 242*x^2))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + (22*sqrt(5)*sqrt(x^4 + 1)*(18*x^2 - 11) + (21*sqrt(5)*sqrt(x^4 + 1)*(18*x^2 - 11) + sqrt(5)*(370*x^4 - 231*x^2))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + sqrt(5)*(501*x^4 - 242*x^2))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5*sqrt(5)*(173*x^4 + 40*x^2))*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73) + ((695*x^5 + 2270*x^3 + (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(x^4 + 1)*(139*x^3 - 92*x) - 1745*x)*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 + (12605*x^5 + 42455*x^3 + (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + 20*(1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(x^4 + 1)*(2521*x^3 - 1857*x) - 32505*x)*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5*(3050*x^5 + 12360*x^3 + (139*x^5 + 454*x^3 - sqrt(x^4 + 1)*(139*x^3 - 92*x) - 349*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + (2521*x^5 + 8491*x^3 - sqrt(x^4 + 1)*(2521*x^3 - 1857*x) - 6501*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 10*sqrt(x^4 + 1)*(305*x^3 - 219*x) - 1320*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 2*((5*sqrt(5)*sqrt(x^4 + 1)*(139*x^3 - 92*x) + (sqrt(5)*sqrt(x^4 + 1)*(1421*x^3 - 872*x) - sqrt(5)*(1421*x^5 + 1301*x^3 - 1341*x))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(5)*(139*x^5 + 454*x^3 - 349*x))*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5*(sqrt(5)*sqrt(x^4 + 1)*(259*x^3 + 17*x) + (sqrt(5)*sqrt(x^4 + 1)*(139*x^3 - 92*x) - sqrt(5)*(139*x^5 + 454*x^3 - 349*x))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - sqrt(5)*(259*x^5 + 589*x^3 - 479*x))*sqrt(x^2 + sqrt(x^4 + 1)))*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73))*sqrt(sqrt(5)*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73) + 5/2*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 25*sqrt(-29/1000*sqrt(5) + 13/200) + 5))/(x^4 + x^2 - 1)) + 1/20*sqrt(sqrt(5)*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73) + 5/2*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 25*sqrt(-29/1000*sqrt(5) + 13/200) + 5)*log(-1/10*(52950*x^4 - 5*(501*x^4 - 242*x^2 + 22*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 5*(501*x^4 - 242*x^2 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 22*sqrt(x^4 + 1)*(18*x^2 - 11))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 + 191850*x^2 - 25*(1831*x^4 - 1008*x^2 + sqrt(x^4 + 1)*(1433*x^2 - 1008))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*(9155*x^4 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 5040*x^2 + 20*(370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 5*sqrt(x^4 + 1)*(1433*x^2 - 1008))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 100*sqrt(x^4 + 1)*(109*x^2 - 728) + 10*(5*sqrt(5)*sqrt(x^4 + 1)*(151*x^2 + 40) + (22*sqrt(5)*sqrt(x^4 + 1)*(18*x^2 - 11) + sqrt(5)*(501*x^4 - 242*x^2))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + (22*sqrt(5)*sqrt(x^4 + 1)*(18*x^2 - 11) + (21*sqrt(5)*sqrt(x^4 + 1)*(18*x^2 - 11) + sqrt(5)*(370*x^4 - 231*x^2))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + sqrt(5)*(501*x^4 - 242*x^2))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5*sqrt(5)*(173*x^4 + 40*x^2))*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73) - ((695*x^5 + 2270*x^3 + (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(x^4 + 1)*(139*x^3 - 92*x) - 1745*x)*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 + (12605*x^5 + 42455*x^3 + (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + 20*(1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(x^4 + 1)*(2521*x^3 - 1857*x) - 32505*x)*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5*(3050*x^5 + 12360*x^3 + (139*x^5 + 454*x^3 - sqrt(x^4 + 1)*(139*x^3 - 92*x) - 349*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + (2521*x^5 + 8491*x^3 - sqrt(x^4 + 1)*(2521*x^3 - 1857*x) - 6501*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 10*sqrt(x^4 + 1)*(305*x^3 - 219*x) - 1320*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 2*((5*sqrt(5)*sqrt(x^4 + 1)*(139*x^3 - 92*x) + (sqrt(5)*sqrt(x^4 + 1)*(1421*x^3 - 872*x) - sqrt(5)*(1421*x^5 + 1301*x^3 - 1341*x))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(5)*(139*x^5 + 454*x^3 - 349*x))*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5*(sqrt(5)*sqrt(x^4 + 1)*(259*x^3 + 17*x) + (sqrt(5)*sqrt(x^4 + 1)*(139*x^3 - 92*x) - sqrt(5)*(139*x^5 + 454*x^3 - 349*x))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - sqrt(5)*(259*x^5 + 589*x^3 - 479*x))*sqrt(x^2 + sqrt(x^4 + 1)))*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73))*sqrt(sqrt(5)*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73) + 5/2*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 25*sqrt(-29/1000*sqrt(5) + 13/200) + 5))/(x^4 + x^2 - 1)) - 1/20*sqrt(-sqrt(5)*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73) + 5/2*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 25*sqrt(-29/1000*sqrt(5) + 13/200) + 5)*log(-1/10*(52950*x^4 - 5*(501*x^4 - 242*x^2 + 22*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 5*(501*x^4 - 242*x^2 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 22*sqrt(x^4 + 1)*(18*x^2 - 11))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 + 191850*x^2 - 25*(1831*x^4 - 1008*x^2 + sqrt(x^4 + 1)*(1433*x^2 - 1008))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*(9155*x^4 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 5040*x^2 + 20*(370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 5*sqrt(x^4 + 1)*(1433*x^2 - 1008))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 100*sqrt(x^4 + 1)*(109*x^2 - 728) - 10*(5*sqrt(5)*sqrt(x^4 + 1)*(151*x^2 + 40) + (22*sqrt(5)*sqrt(x^4 + 1)*(18*x^2 - 11) + sqrt(5)*(501*x^4 - 242*x^2))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + (22*sqrt(5)*sqrt(x^4 + 1)*(18*x^2 - 11) + (21*sqrt(5)*sqrt(x^4 + 1)*(18*x^2 - 11) + sqrt(5)*(370*x^4 - 231*x^2))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + sqrt(5)*(501*x^4 - 242*x^2))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5*sqrt(5)*(173*x^4 + 40*x^2))*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73) + ((695*x^5 + 2270*x^3 + (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(x^4 + 1)*(139*x^3 - 92*x) - 1745*x)*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 + (12605*x^5 + 42455*x^3 + (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + 20*(1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(x^4 + 1)*(2521*x^3 - 1857*x) - 32505*x)*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5*(3050*x^5 + 12360*x^3 + (139*x^5 + 454*x^3 - sqrt(x^4 + 1)*(139*x^3 - 92*x) - 349*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + (2521*x^5 + 8491*x^3 - sqrt(x^4 + 1)*(2521*x^3 - 1857*x) - 6501*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 10*sqrt(x^4 + 1)*(305*x^3 - 219*x) - 1320*x)*sqrt(x^2 + sqrt(x^4 + 1)) - 2*((5*sqrt(5)*sqrt(x^4 + 1)*(139*x^3 - 92*x) + (sqrt(5)*sqrt(x^4 + 1)*(1421*x^3 - 872*x) - sqrt(5)*(1421*x^5 + 1301*x^3 - 1341*x))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(5)*(139*x^5 + 454*x^3 - 349*x))*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5*(sqrt(5)*sqrt(x^4 + 1)*(259*x^3 + 17*x) + (sqrt(5)*sqrt(x^4 + 1)*(139*x^3 - 92*x) - sqrt(5)*(139*x^5 + 454*x^3 - 349*x))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - sqrt(5)*(259*x^5 + 589*x^3 - 479*x))*sqrt(x^2 + sqrt(x^4 + 1)))*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73))*sqrt(-sqrt(5)*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73) + 5/2*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 25*sqrt(-29/1000*sqrt(5) + 13/200) + 5))/(x^4 + x^2 - 1)) + 1/20*sqrt(-sqrt(5)*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73) + 5/2*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 25*sqrt(-29/1000*sqrt(5) + 13/200) + 5)*log(-1/10*(52950*x^4 - 5*(501*x^4 - 242*x^2 + 22*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 5*(501*x^4 - 242*x^2 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 22*sqrt(x^4 + 1)*(18*x^2 - 11))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 + 191850*x^2 - 25*(1831*x^4 - 1008*x^2 + sqrt(x^4 + 1)*(1433*x^2 - 1008))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*(9155*x^4 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 5040*x^2 + 20*(370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 5*sqrt(x^4 + 1)*(1433*x^2 - 1008))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 100*sqrt(x^4 + 1)*(109*x^2 - 728) - 10*(5*sqrt(5)*sqrt(x^4 + 1)*(151*x^2 + 40) + (22*sqrt(5)*sqrt(x^4 + 1)*(18*x^2 - 11) + sqrt(5)*(501*x^4 - 242*x^2))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + (22*sqrt(5)*sqrt(x^4 + 1)*(18*x^2 - 11) + (21*sqrt(5)*sqrt(x^4 + 1)*(18*x^2 - 11) + sqrt(5)*(370*x^4 - 231*x^2))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + sqrt(5)*(501*x^4 - 242*x^2))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5*sqrt(5)*(173*x^4 + 40*x^2))*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73) - ((695*x^5 + 2270*x^3 + (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(x^4 + 1)*(139*x^3 - 92*x) - 1745*x)*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 + (12605*x^5 + 42455*x^3 + (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + 20*(1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(x^4 + 1)*(2521*x^3 - 1857*x) - 32505*x)*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5*(3050*x^5 + 12360*x^3 + (139*x^5 + 454*x^3 - sqrt(x^4 + 1)*(139*x^3 - 92*x) - 349*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + (2521*x^5 + 8491*x^3 - sqrt(x^4 + 1)*(2521*x^3 - 1857*x) - 6501*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 10*sqrt(x^4 + 1)*(305*x^3 - 219*x) - 1320*x)*sqrt(x^2 + sqrt(x^4 + 1)) - 2*((5*sqrt(5)*sqrt(x^4 + 1)*(139*x^3 - 92*x) + (sqrt(5)*sqrt(x^4 + 1)*(1421*x^3 - 872*x) - sqrt(5)*(1421*x^5 + 1301*x^3 - 1341*x))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(5)*(139*x^5 + 454*x^3 - 349*x))*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5*(sqrt(5)*sqrt(x^4 + 1)*(259*x^3 + 17*x) + (sqrt(5)*sqrt(x^4 + 1)*(139*x^3 - 92*x) - sqrt(5)*(139*x^5 + 454*x^3 - 349*x))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - sqrt(5)*(259*x^5 + 589*x^3 - 479*x))*sqrt(x^2 + sqrt(x^4 + 1)))*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73))*sqrt(-sqrt(5)*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73) + 5/2*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 25*sqrt(-29/1000*sqrt(5) + 13/200) + 5))/(x^4 + x^2 - 1)) - 1/2*sqrt(-1/20*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 1/50*sqrt(5) + 1/20)*log(1/5*(18570*x^4 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^3 + (6899*x^4 - 4378*x^2 + 398*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 11465*x^2 - 5*(17741*x^4 - 10941*x^2 + sqrt(x^4 + 1)*(17687*x^2 - 10941))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 2*(185250*x^5 - (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^3 - 223150*x^3 - 5*(5545*x^5 + 4750*x^3 - sqrt(x^4 + 1)*(5545*x^3 - 3396*x) - 5015*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + 5*(63624*x^5 + 64434*x^3 - sqrt(x^4 + 1)*(63624*x^3 - 39353*x) - 64164*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 475*sqrt(x^4 + 1)*(390*x^3 - 241*x) + 67175*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(-1/20*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 1/50*sqrt(5) + 1/20) - 40*sqrt(x^4 + 1)*(18*x^2 - 11))/(x^4 + x^2 - 1)) + 1/2*sqrt(-1/20*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 1/50*sqrt(5) + 1/20)*log(1/5*(18570*x^4 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^3 + (6899*x^4 - 4378*x^2 + 398*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 11465*x^2 - 5*(17741*x^4 - 10941*x^2 + sqrt(x^4 + 1)*(17687*x^2 - 10941))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 2*(185250*x^5 - (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^3 - 223150*x^3 - 5*(5545*x^5 + 4750*x^3 - sqrt(x^4 + 1)*(5545*x^3 - 3396*x) - 5015*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + 5*(63624*x^5 + 64434*x^3 - sqrt(x^4 + 1)*(63624*x^3 - 39353*x) - 64164*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 475*sqrt(x^4 + 1)*(390*x^3 - 241*x) + 67175*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(-1/20*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 1/50*sqrt(5) + 1/20) - 40*sqrt(x^4 + 1)*(18*x^2 - 11))/(x^4 + x^2 - 1))","B",0
2941,1,10165,0,25.084262," ","integrate((x^2+1)*(x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2)/(x^4+x^2-1),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{-\frac{1}{50} \, \sqrt{5} - \frac{1}{2} \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} + \frac{1}{20}} \log\left(\frac{111070 \, x^{4} - {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{3} - 20 \, {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - {\left(501 \, x^{4} - 242 \, x^{2} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 22 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 69215 \, x^{2} + 215 \, {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - {\left(9155 \, x^{4} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - 5040 \, x^{2} + 20 \, {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 5 \, \sqrt{x^{4} + 1} {\left(1433 \, x^{2} - 1008\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5210 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + 2 \, {\left({\left(695 \, x^{5} + 2270 \, x^{3} + {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - 1745 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} + {\left(12605 \, x^{5} + 42455 \, x^{3} + {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + 20 \, {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{x^{4} + 1} {\left(2521 \, x^{3} - 1857 \, x\right)} - 32505 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - {\left(170000 \, x^{5} - {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{3} + 548400 \, x^{3} - 20 \, {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + 215 \, {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 25 \, \sqrt{x^{4} + 1} {\left(6800 \, x^{3} - 4141 \, x\right)} - 402425 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\right)} \sqrt{-\frac{1}{50} \, \sqrt{5} - \frac{1}{2} \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} + \frac{1}{20}}}{5 \, {\left(x^{4} + x^{2} - 1\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{50} \, \sqrt{5} - \frac{1}{2} \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} + \frac{1}{20}} \log\left(\frac{111070 \, x^{4} - {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{3} - 20 \, {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - {\left(501 \, x^{4} - 242 \, x^{2} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 22 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 69215 \, x^{2} + 215 \, {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - {\left(9155 \, x^{4} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - 5040 \, x^{2} + 20 \, {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 5 \, \sqrt{x^{4} + 1} {\left(1433 \, x^{2} - 1008\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5210 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} - 2 \, {\left({\left(695 \, x^{5} + 2270 \, x^{3} + {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - 1745 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} + {\left(12605 \, x^{5} + 42455 \, x^{3} + {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + 20 \, {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{x^{4} + 1} {\left(2521 \, x^{3} - 1857 \, x\right)} - 32505 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - {\left(170000 \, x^{5} - {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{3} + 548400 \, x^{3} - 20 \, {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + 215 \, {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 25 \, \sqrt{x^{4} + 1} {\left(6800 \, x^{3} - 4141 \, x\right)} - 402425 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\right)} \sqrt{-\frac{1}{50} \, \sqrt{5} - \frac{1}{2} \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} + \frac{1}{20}}}{5 \, {\left(x^{4} + x^{2} - 1\right)}}\right) - \frac{1}{20} \, \sqrt{\sqrt{5} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73} + \frac{5}{2} \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 25 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} + 5} \log\left(-\frac{52950 \, x^{4} - 5 \, {\left(501 \, x^{4} - 242 \, x^{2} + 22 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - 5 \, {\left(501 \, x^{4} - 242 \, x^{2} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 22 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} + 191850 \, x^{2} - 25 \, {\left(1831 \, x^{4} - 1008 \, x^{2} + \sqrt{x^{4} + 1} {\left(1433 \, x^{2} - 1008\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, {\left(9155 \, x^{4} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - 5040 \, x^{2} + 20 \, {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 5 \, \sqrt{x^{4} + 1} {\left(1433 \, x^{2} - 1008\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - 100 \, \sqrt{x^{4} + 1} {\left(109 \, x^{2} - 728\right)} + 10 \, {\left(5 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(151 \, x^{2} + 40\right)} + {\left(22 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + \sqrt{5} {\left(501 \, x^{4} - 242 \, x^{2}\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + {\left(22 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + {\left(21 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + \sqrt{5} {\left(370 \, x^{4} - 231 \, x^{2}\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + \sqrt{5} {\left(501 \, x^{4} - 242 \, x^{2}\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5 \, \sqrt{5} {\left(173 \, x^{4} + 40 \, x^{2}\right)}\right)} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73} + {\left({\left(695 \, x^{5} + 2270 \, x^{3} + {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - 1745 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} + {\left(12605 \, x^{5} + 42455 \, x^{3} + {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + 20 \, {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{x^{4} + 1} {\left(2521 \, x^{3} - 1857 \, x\right)} - 32505 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5 \, {\left(3050 \, x^{5} + 12360 \, x^{3} + {\left(139 \, x^{5} + 454 \, x^{3} - \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - 349 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + {\left(2521 \, x^{5} + 8491 \, x^{3} - \sqrt{x^{4} + 1} {\left(2521 \, x^{3} - 1857 \, x\right)} - 6501 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 10 \, \sqrt{x^{4} + 1} {\left(305 \, x^{3} - 219 \, x\right)} - 1320 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 2 \, {\left({\left(5 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - \sqrt{5} {\left(1421 \, x^{5} + 1301 \, x^{3} - 1341 \, x\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{5} {\left(139 \, x^{5} + 454 \, x^{3} - 349 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5 \, {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(259 \, x^{3} + 17 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - \sqrt{5} {\left(139 \, x^{5} + 454 \, x^{3} - 349 \, x\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - \sqrt{5} {\left(259 \, x^{5} + 589 \, x^{3} - 479 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\right)} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73}\right)} \sqrt{\sqrt{5} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73} + \frac{5}{2} \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 25 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} + 5}}{10 \, {\left(x^{4} + x^{2} - 1\right)}}\right) + \frac{1}{20} \, \sqrt{\sqrt{5} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73} + \frac{5}{2} \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 25 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} + 5} \log\left(-\frac{52950 \, x^{4} - 5 \, {\left(501 \, x^{4} - 242 \, x^{2} + 22 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - 5 \, {\left(501 \, x^{4} - 242 \, x^{2} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 22 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} + 191850 \, x^{2} - 25 \, {\left(1831 \, x^{4} - 1008 \, x^{2} + \sqrt{x^{4} + 1} {\left(1433 \, x^{2} - 1008\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, {\left(9155 \, x^{4} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - 5040 \, x^{2} + 20 \, {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 5 \, \sqrt{x^{4} + 1} {\left(1433 \, x^{2} - 1008\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - 100 \, \sqrt{x^{4} + 1} {\left(109 \, x^{2} - 728\right)} + 10 \, {\left(5 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(151 \, x^{2} + 40\right)} + {\left(22 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + \sqrt{5} {\left(501 \, x^{4} - 242 \, x^{2}\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + {\left(22 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + {\left(21 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + \sqrt{5} {\left(370 \, x^{4} - 231 \, x^{2}\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + \sqrt{5} {\left(501 \, x^{4} - 242 \, x^{2}\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5 \, \sqrt{5} {\left(173 \, x^{4} + 40 \, x^{2}\right)}\right)} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73} - {\left({\left(695 \, x^{5} + 2270 \, x^{3} + {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - 1745 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} + {\left(12605 \, x^{5} + 42455 \, x^{3} + {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + 20 \, {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{x^{4} + 1} {\left(2521 \, x^{3} - 1857 \, x\right)} - 32505 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5 \, {\left(3050 \, x^{5} + 12360 \, x^{3} + {\left(139 \, x^{5} + 454 \, x^{3} - \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - 349 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + {\left(2521 \, x^{5} + 8491 \, x^{3} - \sqrt{x^{4} + 1} {\left(2521 \, x^{3} - 1857 \, x\right)} - 6501 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 10 \, \sqrt{x^{4} + 1} {\left(305 \, x^{3} - 219 \, x\right)} - 1320 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 2 \, {\left({\left(5 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - \sqrt{5} {\left(1421 \, x^{5} + 1301 \, x^{3} - 1341 \, x\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{5} {\left(139 \, x^{5} + 454 \, x^{3} - 349 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5 \, {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(259 \, x^{3} + 17 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - \sqrt{5} {\left(139 \, x^{5} + 454 \, x^{3} - 349 \, x\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - \sqrt{5} {\left(259 \, x^{5} + 589 \, x^{3} - 479 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\right)} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73}\right)} \sqrt{\sqrt{5} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73} + \frac{5}{2} \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 25 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} + 5}}{10 \, {\left(x^{4} + x^{2} - 1\right)}}\right) - \frac{1}{20} \, \sqrt{-\sqrt{5} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73} + \frac{5}{2} \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 25 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} + 5} \log\left(-\frac{52950 \, x^{4} - 5 \, {\left(501 \, x^{4} - 242 \, x^{2} + 22 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - 5 \, {\left(501 \, x^{4} - 242 \, x^{2} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 22 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} + 191850 \, x^{2} - 25 \, {\left(1831 \, x^{4} - 1008 \, x^{2} + \sqrt{x^{4} + 1} {\left(1433 \, x^{2} - 1008\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, {\left(9155 \, x^{4} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - 5040 \, x^{2} + 20 \, {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 5 \, \sqrt{x^{4} + 1} {\left(1433 \, x^{2} - 1008\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - 100 \, \sqrt{x^{4} + 1} {\left(109 \, x^{2} - 728\right)} - 10 \, {\left(5 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(151 \, x^{2} + 40\right)} + {\left(22 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + \sqrt{5} {\left(501 \, x^{4} - 242 \, x^{2}\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + {\left(22 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + {\left(21 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + \sqrt{5} {\left(370 \, x^{4} - 231 \, x^{2}\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + \sqrt{5} {\left(501 \, x^{4} - 242 \, x^{2}\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5 \, \sqrt{5} {\left(173 \, x^{4} + 40 \, x^{2}\right)}\right)} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73} + {\left({\left(695 \, x^{5} + 2270 \, x^{3} + {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - 1745 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} + {\left(12605 \, x^{5} + 42455 \, x^{3} + {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + 20 \, {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{x^{4} + 1} {\left(2521 \, x^{3} - 1857 \, x\right)} - 32505 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5 \, {\left(3050 \, x^{5} + 12360 \, x^{3} + {\left(139 \, x^{5} + 454 \, x^{3} - \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - 349 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + {\left(2521 \, x^{5} + 8491 \, x^{3} - \sqrt{x^{4} + 1} {\left(2521 \, x^{3} - 1857 \, x\right)} - 6501 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 10 \, \sqrt{x^{4} + 1} {\left(305 \, x^{3} - 219 \, x\right)} - 1320 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} - 2 \, {\left({\left(5 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - \sqrt{5} {\left(1421 \, x^{5} + 1301 \, x^{3} - 1341 \, x\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{5} {\left(139 \, x^{5} + 454 \, x^{3} - 349 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5 \, {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(259 \, x^{3} + 17 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - \sqrt{5} {\left(139 \, x^{5} + 454 \, x^{3} - 349 \, x\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - \sqrt{5} {\left(259 \, x^{5} + 589 \, x^{3} - 479 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\right)} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73}\right)} \sqrt{-\sqrt{5} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73} + \frac{5}{2} \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 25 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} + 5}}{10 \, {\left(x^{4} + x^{2} - 1\right)}}\right) + \frac{1}{20} \, \sqrt{-\sqrt{5} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73} + \frac{5}{2} \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 25 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} + 5} \log\left(-\frac{52950 \, x^{4} - 5 \, {\left(501 \, x^{4} - 242 \, x^{2} + 22 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - 5 \, {\left(501 \, x^{4} - 242 \, x^{2} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 22 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} + 191850 \, x^{2} - 25 \, {\left(1831 \, x^{4} - 1008 \, x^{2} + \sqrt{x^{4} + 1} {\left(1433 \, x^{2} - 1008\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, {\left(9155 \, x^{4} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - 5040 \, x^{2} + 20 \, {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 5 \, \sqrt{x^{4} + 1} {\left(1433 \, x^{2} - 1008\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - 100 \, \sqrt{x^{4} + 1} {\left(109 \, x^{2} - 728\right)} - 10 \, {\left(5 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(151 \, x^{2} + 40\right)} + {\left(22 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + \sqrt{5} {\left(501 \, x^{4} - 242 \, x^{2}\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + {\left(22 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + {\left(21 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)} + \sqrt{5} {\left(370 \, x^{4} - 231 \, x^{2}\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + \sqrt{5} {\left(501 \, x^{4} - 242 \, x^{2}\right)}\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5 \, \sqrt{5} {\left(173 \, x^{4} + 40 \, x^{2}\right)}\right)} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73} - {\left({\left(695 \, x^{5} + 2270 \, x^{3} + {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - 1745 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} + {\left(12605 \, x^{5} + 42455 \, x^{3} + {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + 20 \, {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{x^{4} + 1} {\left(2521 \, x^{3} - 1857 \, x\right)} - 32505 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5 \, {\left(3050 \, x^{5} + 12360 \, x^{3} + {\left(139 \, x^{5} + 454 \, x^{3} - \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - 349 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + {\left(2521 \, x^{5} + 8491 \, x^{3} - \sqrt{x^{4} + 1} {\left(2521 \, x^{3} - 1857 \, x\right)} - 6501 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 10 \, \sqrt{x^{4} + 1} {\left(305 \, x^{3} - 219 \, x\right)} - 1320 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} - 2 \, {\left({\left(5 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - \sqrt{5} {\left(1421 \, x^{5} + 1301 \, x^{3} - 1341 \, x\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 5 \, \sqrt{5} {\left(139 \, x^{5} + 454 \, x^{3} - 349 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} + 5 \, {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(259 \, x^{3} + 17 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(139 \, x^{3} - 92 \, x\right)} - \sqrt{5} {\left(139 \, x^{5} + 454 \, x^{3} - 349 \, x\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - \sqrt{5} {\left(259 \, x^{5} + 589 \, x^{3} - 479 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\right)} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73}\right)} \sqrt{-\sqrt{5} \sqrt{-\frac{3}{20} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} + 15\right)} {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)} - \frac{3}{20} \, {\left(2 \, \sqrt{5} + 50 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} - 5\right)}^{2} - 10 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 4 \, \sqrt{5} + 73} + \frac{5}{2} \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + 25 \, \sqrt{-\frac{29}{1000} \, \sqrt{5} + \frac{13}{200}} + 5}}{10 \, {\left(x^{4} + x^{2} - 1\right)}}\right) - \frac{1}{2} \, \sqrt{-\frac{1}{20} \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + \frac{1}{50} \, \sqrt{5} + \frac{1}{20}} \log\left(\frac{18570 \, x^{4} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{3} + {\left(6899 \, x^{4} - 4378 \, x^{2} + 398 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - 11465 \, x^{2} - 5 \, {\left(17741 \, x^{4} - 10941 \, x^{2} + \sqrt{x^{4} + 1} {\left(17687 \, x^{2} - 10941\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} + 2 \, {\left(185250 \, x^{5} - {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{3} - 223150 \, x^{3} - 5 \, {\left(5545 \, x^{5} + 4750 \, x^{3} - \sqrt{x^{4} + 1} {\left(5545 \, x^{3} - 3396 \, x\right)} - 5015 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + 5 \, {\left(63624 \, x^{5} + 64434 \, x^{3} - \sqrt{x^{4} + 1} {\left(63624 \, x^{3} - 39353 \, x\right)} - 64164 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 475 \, \sqrt{x^{4} + 1} {\left(390 \, x^{3} - 241 \, x\right)} + 67175 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{-\frac{1}{20} \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + \frac{1}{50} \, \sqrt{5} + \frac{1}{20}} - 40 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}}{5 \, {\left(x^{4} + x^{2} - 1\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{20} \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + \frac{1}{50} \, \sqrt{5} + \frac{1}{20}} \log\left(\frac{18570 \, x^{4} + {\left(370 \, x^{4} - 231 \, x^{2} + 21 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{3} + {\left(6899 \, x^{4} - 4378 \, x^{2} + 398 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} - 11465 \, x^{2} - 5 \, {\left(17741 \, x^{4} - 10941 \, x^{2} + \sqrt{x^{4} + 1} {\left(17687 \, x^{2} - 10941\right)}\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 2 \, {\left(185250 \, x^{5} - {\left(1421 \, x^{5} + 1301 \, x^{3} - \sqrt{x^{4} + 1} {\left(1421 \, x^{3} - 872 \, x\right)} - 1341 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{3} - 223150 \, x^{3} - 5 \, {\left(5545 \, x^{5} + 4750 \, x^{3} - \sqrt{x^{4} + 1} {\left(5545 \, x^{3} - 3396 \, x\right)} - 5015 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)}^{2} + 5 \, {\left(63624 \, x^{5} + 64434 \, x^{3} - \sqrt{x^{4} + 1} {\left(63624 \, x^{3} - 39353 \, x\right)} - 64164 \, x\right)} {\left(5 \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} - 2 \, \sqrt{5} - 5\right)} - 475 \, \sqrt{x^{4} + 1} {\left(390 \, x^{3} - 241 \, x\right)} + 67175 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{-\frac{1}{20} \, \sqrt{\frac{1}{10}} \sqrt{29 \, \sqrt{5} + 65} + \frac{1}{50} \, \sqrt{5} + \frac{1}{20}} - 40 \, \sqrt{x^{4} + 1} {\left(18 \, x^{2} - 11\right)}}{5 \, {\left(x^{4} + x^{2} - 1\right)}}\right)"," ",0,"-1/2*sqrt(-1/50*sqrt(5) - 1/2*sqrt(-29/1000*sqrt(5) + 13/200) + 1/20)*log(1/5*(111070*x^4 - (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^3 - 20*(370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - (501*x^4 - 242*x^2 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 22*sqrt(x^4 + 1)*(18*x^2 - 11))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 69215*x^2 + 215*(370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - (9155*x^4 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 5040*x^2 + 20*(370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 5*sqrt(x^4 + 1)*(1433*x^2 - 1008))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5210*sqrt(x^4 + 1)*(18*x^2 - 11) + 2*((695*x^5 + 2270*x^3 + (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(x^4 + 1)*(139*x^3 - 92*x) - 1745*x)*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 + (12605*x^5 + 42455*x^3 + (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + 20*(1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(x^4 + 1)*(2521*x^3 - 1857*x) - 32505*x)*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - (170000*x^5 - (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^3 + 548400*x^3 - 20*(1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + 215*(1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 25*sqrt(x^4 + 1)*(6800*x^3 - 4141*x) - 402425*x)*sqrt(x^2 + sqrt(x^4 + 1)))*sqrt(-1/50*sqrt(5) - 1/2*sqrt(-29/1000*sqrt(5) + 13/200) + 1/20))/(x^4 + x^2 - 1)) + 1/2*sqrt(-1/50*sqrt(5) - 1/2*sqrt(-29/1000*sqrt(5) + 13/200) + 1/20)*log(1/5*(111070*x^4 - (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^3 - 20*(370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - (501*x^4 - 242*x^2 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 22*sqrt(x^4 + 1)*(18*x^2 - 11))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 69215*x^2 + 215*(370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - (9155*x^4 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 5040*x^2 + 20*(370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 5*sqrt(x^4 + 1)*(1433*x^2 - 1008))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5210*sqrt(x^4 + 1)*(18*x^2 - 11) - 2*((695*x^5 + 2270*x^3 + (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(x^4 + 1)*(139*x^3 - 92*x) - 1745*x)*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 + (12605*x^5 + 42455*x^3 + (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + 20*(1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(x^4 + 1)*(2521*x^3 - 1857*x) - 32505*x)*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - (170000*x^5 - (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^3 + 548400*x^3 - 20*(1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + 215*(1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 25*sqrt(x^4 + 1)*(6800*x^3 - 4141*x) - 402425*x)*sqrt(x^2 + sqrt(x^4 + 1)))*sqrt(-1/50*sqrt(5) - 1/2*sqrt(-29/1000*sqrt(5) + 13/200) + 1/20))/(x^4 + x^2 - 1)) - 1/20*sqrt(sqrt(5)*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73) + 5/2*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 25*sqrt(-29/1000*sqrt(5) + 13/200) + 5)*log(-1/10*(52950*x^4 - 5*(501*x^4 - 242*x^2 + 22*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 5*(501*x^4 - 242*x^2 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 22*sqrt(x^4 + 1)*(18*x^2 - 11))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 + 191850*x^2 - 25*(1831*x^4 - 1008*x^2 + sqrt(x^4 + 1)*(1433*x^2 - 1008))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*(9155*x^4 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 5040*x^2 + 20*(370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 5*sqrt(x^4 + 1)*(1433*x^2 - 1008))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 100*sqrt(x^4 + 1)*(109*x^2 - 728) + 10*(5*sqrt(5)*sqrt(x^4 + 1)*(151*x^2 + 40) + (22*sqrt(5)*sqrt(x^4 + 1)*(18*x^2 - 11) + sqrt(5)*(501*x^4 - 242*x^2))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + (22*sqrt(5)*sqrt(x^4 + 1)*(18*x^2 - 11) + (21*sqrt(5)*sqrt(x^4 + 1)*(18*x^2 - 11) + sqrt(5)*(370*x^4 - 231*x^2))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + sqrt(5)*(501*x^4 - 242*x^2))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5*sqrt(5)*(173*x^4 + 40*x^2))*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73) + ((695*x^5 + 2270*x^3 + (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(x^4 + 1)*(139*x^3 - 92*x) - 1745*x)*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 + (12605*x^5 + 42455*x^3 + (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + 20*(1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(x^4 + 1)*(2521*x^3 - 1857*x) - 32505*x)*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5*(3050*x^5 + 12360*x^3 + (139*x^5 + 454*x^3 - sqrt(x^4 + 1)*(139*x^3 - 92*x) - 349*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + (2521*x^5 + 8491*x^3 - sqrt(x^4 + 1)*(2521*x^3 - 1857*x) - 6501*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 10*sqrt(x^4 + 1)*(305*x^3 - 219*x) - 1320*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 2*((5*sqrt(5)*sqrt(x^4 + 1)*(139*x^3 - 92*x) + (sqrt(5)*sqrt(x^4 + 1)*(1421*x^3 - 872*x) - sqrt(5)*(1421*x^5 + 1301*x^3 - 1341*x))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(5)*(139*x^5 + 454*x^3 - 349*x))*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5*(sqrt(5)*sqrt(x^4 + 1)*(259*x^3 + 17*x) + (sqrt(5)*sqrt(x^4 + 1)*(139*x^3 - 92*x) - sqrt(5)*(139*x^5 + 454*x^3 - 349*x))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - sqrt(5)*(259*x^5 + 589*x^3 - 479*x))*sqrt(x^2 + sqrt(x^4 + 1)))*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73))*sqrt(sqrt(5)*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73) + 5/2*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 25*sqrt(-29/1000*sqrt(5) + 13/200) + 5))/(x^4 + x^2 - 1)) + 1/20*sqrt(sqrt(5)*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73) + 5/2*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 25*sqrt(-29/1000*sqrt(5) + 13/200) + 5)*log(-1/10*(52950*x^4 - 5*(501*x^4 - 242*x^2 + 22*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 5*(501*x^4 - 242*x^2 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 22*sqrt(x^4 + 1)*(18*x^2 - 11))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 + 191850*x^2 - 25*(1831*x^4 - 1008*x^2 + sqrt(x^4 + 1)*(1433*x^2 - 1008))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*(9155*x^4 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 5040*x^2 + 20*(370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 5*sqrt(x^4 + 1)*(1433*x^2 - 1008))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 100*sqrt(x^4 + 1)*(109*x^2 - 728) + 10*(5*sqrt(5)*sqrt(x^4 + 1)*(151*x^2 + 40) + (22*sqrt(5)*sqrt(x^4 + 1)*(18*x^2 - 11) + sqrt(5)*(501*x^4 - 242*x^2))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + (22*sqrt(5)*sqrt(x^4 + 1)*(18*x^2 - 11) + (21*sqrt(5)*sqrt(x^4 + 1)*(18*x^2 - 11) + sqrt(5)*(370*x^4 - 231*x^2))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + sqrt(5)*(501*x^4 - 242*x^2))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5*sqrt(5)*(173*x^4 + 40*x^2))*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73) - ((695*x^5 + 2270*x^3 + (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(x^4 + 1)*(139*x^3 - 92*x) - 1745*x)*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 + (12605*x^5 + 42455*x^3 + (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + 20*(1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(x^4 + 1)*(2521*x^3 - 1857*x) - 32505*x)*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5*(3050*x^5 + 12360*x^3 + (139*x^5 + 454*x^3 - sqrt(x^4 + 1)*(139*x^3 - 92*x) - 349*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + (2521*x^5 + 8491*x^3 - sqrt(x^4 + 1)*(2521*x^3 - 1857*x) - 6501*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 10*sqrt(x^4 + 1)*(305*x^3 - 219*x) - 1320*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 2*((5*sqrt(5)*sqrt(x^4 + 1)*(139*x^3 - 92*x) + (sqrt(5)*sqrt(x^4 + 1)*(1421*x^3 - 872*x) - sqrt(5)*(1421*x^5 + 1301*x^3 - 1341*x))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(5)*(139*x^5 + 454*x^3 - 349*x))*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5*(sqrt(5)*sqrt(x^4 + 1)*(259*x^3 + 17*x) + (sqrt(5)*sqrt(x^4 + 1)*(139*x^3 - 92*x) - sqrt(5)*(139*x^5 + 454*x^3 - 349*x))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - sqrt(5)*(259*x^5 + 589*x^3 - 479*x))*sqrt(x^2 + sqrt(x^4 + 1)))*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73))*sqrt(sqrt(5)*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73) + 5/2*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 25*sqrt(-29/1000*sqrt(5) + 13/200) + 5))/(x^4 + x^2 - 1)) - 1/20*sqrt(-sqrt(5)*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73) + 5/2*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 25*sqrt(-29/1000*sqrt(5) + 13/200) + 5)*log(-1/10*(52950*x^4 - 5*(501*x^4 - 242*x^2 + 22*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 5*(501*x^4 - 242*x^2 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 22*sqrt(x^4 + 1)*(18*x^2 - 11))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 + 191850*x^2 - 25*(1831*x^4 - 1008*x^2 + sqrt(x^4 + 1)*(1433*x^2 - 1008))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*(9155*x^4 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 5040*x^2 + 20*(370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 5*sqrt(x^4 + 1)*(1433*x^2 - 1008))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 100*sqrt(x^4 + 1)*(109*x^2 - 728) - 10*(5*sqrt(5)*sqrt(x^4 + 1)*(151*x^2 + 40) + (22*sqrt(5)*sqrt(x^4 + 1)*(18*x^2 - 11) + sqrt(5)*(501*x^4 - 242*x^2))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + (22*sqrt(5)*sqrt(x^4 + 1)*(18*x^2 - 11) + (21*sqrt(5)*sqrt(x^4 + 1)*(18*x^2 - 11) + sqrt(5)*(370*x^4 - 231*x^2))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + sqrt(5)*(501*x^4 - 242*x^2))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5*sqrt(5)*(173*x^4 + 40*x^2))*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73) + ((695*x^5 + 2270*x^3 + (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(x^4 + 1)*(139*x^3 - 92*x) - 1745*x)*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 + (12605*x^5 + 42455*x^3 + (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + 20*(1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(x^4 + 1)*(2521*x^3 - 1857*x) - 32505*x)*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5*(3050*x^5 + 12360*x^3 + (139*x^5 + 454*x^3 - sqrt(x^4 + 1)*(139*x^3 - 92*x) - 349*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + (2521*x^5 + 8491*x^3 - sqrt(x^4 + 1)*(2521*x^3 - 1857*x) - 6501*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 10*sqrt(x^4 + 1)*(305*x^3 - 219*x) - 1320*x)*sqrt(x^2 + sqrt(x^4 + 1)) - 2*((5*sqrt(5)*sqrt(x^4 + 1)*(139*x^3 - 92*x) + (sqrt(5)*sqrt(x^4 + 1)*(1421*x^3 - 872*x) - sqrt(5)*(1421*x^5 + 1301*x^3 - 1341*x))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(5)*(139*x^5 + 454*x^3 - 349*x))*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5*(sqrt(5)*sqrt(x^4 + 1)*(259*x^3 + 17*x) + (sqrt(5)*sqrt(x^4 + 1)*(139*x^3 - 92*x) - sqrt(5)*(139*x^5 + 454*x^3 - 349*x))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - sqrt(5)*(259*x^5 + 589*x^3 - 479*x))*sqrt(x^2 + sqrt(x^4 + 1)))*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73))*sqrt(-sqrt(5)*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73) + 5/2*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 25*sqrt(-29/1000*sqrt(5) + 13/200) + 5))/(x^4 + x^2 - 1)) + 1/20*sqrt(-sqrt(5)*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73) + 5/2*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 25*sqrt(-29/1000*sqrt(5) + 13/200) + 5)*log(-1/10*(52950*x^4 - 5*(501*x^4 - 242*x^2 + 22*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 5*(501*x^4 - 242*x^2 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 22*sqrt(x^4 + 1)*(18*x^2 - 11))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 + 191850*x^2 - 25*(1831*x^4 - 1008*x^2 + sqrt(x^4 + 1)*(1433*x^2 - 1008))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*(9155*x^4 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 5040*x^2 + 20*(370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 5*sqrt(x^4 + 1)*(1433*x^2 - 1008))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 100*sqrt(x^4 + 1)*(109*x^2 - 728) - 10*(5*sqrt(5)*sqrt(x^4 + 1)*(151*x^2 + 40) + (22*sqrt(5)*sqrt(x^4 + 1)*(18*x^2 - 11) + sqrt(5)*(501*x^4 - 242*x^2))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + (22*sqrt(5)*sqrt(x^4 + 1)*(18*x^2 - 11) + (21*sqrt(5)*sqrt(x^4 + 1)*(18*x^2 - 11) + sqrt(5)*(370*x^4 - 231*x^2))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + sqrt(5)*(501*x^4 - 242*x^2))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5*sqrt(5)*(173*x^4 + 40*x^2))*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73) - ((695*x^5 + 2270*x^3 + (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(x^4 + 1)*(139*x^3 - 92*x) - 1745*x)*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 + (12605*x^5 + 42455*x^3 + (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + 20*(1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(x^4 + 1)*(2521*x^3 - 1857*x) - 32505*x)*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5*(3050*x^5 + 12360*x^3 + (139*x^5 + 454*x^3 - sqrt(x^4 + 1)*(139*x^3 - 92*x) - 349*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + (2521*x^5 + 8491*x^3 - sqrt(x^4 + 1)*(2521*x^3 - 1857*x) - 6501*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 10*sqrt(x^4 + 1)*(305*x^3 - 219*x) - 1320*x)*sqrt(x^2 + sqrt(x^4 + 1)) - 2*((5*sqrt(5)*sqrt(x^4 + 1)*(139*x^3 - 92*x) + (sqrt(5)*sqrt(x^4 + 1)*(1421*x^3 - 872*x) - sqrt(5)*(1421*x^5 + 1301*x^3 - 1341*x))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 5*sqrt(5)*(139*x^5 + 454*x^3 - 349*x))*sqrt(x^2 + sqrt(x^4 + 1))*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) + 5*(sqrt(5)*sqrt(x^4 + 1)*(259*x^3 + 17*x) + (sqrt(5)*sqrt(x^4 + 1)*(139*x^3 - 92*x) - sqrt(5)*(139*x^5 + 454*x^3 - 349*x))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - sqrt(5)*(259*x^5 + 589*x^3 - 479*x))*sqrt(x^2 + sqrt(x^4 + 1)))*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73))*sqrt(-sqrt(5)*sqrt(-3/20*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 1/10*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) + 15)*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5) - 3/20*(2*sqrt(5) + 50*sqrt(-29/1000*sqrt(5) + 13/200) - 5)^2 - 10*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 4*sqrt(5) + 73) + 5/2*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 25*sqrt(-29/1000*sqrt(5) + 13/200) + 5))/(x^4 + x^2 - 1)) - 1/2*sqrt(-1/20*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 1/50*sqrt(5) + 1/20)*log(1/5*(18570*x^4 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^3 + (6899*x^4 - 4378*x^2 + 398*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 11465*x^2 - 5*(17741*x^4 - 10941*x^2 + sqrt(x^4 + 1)*(17687*x^2 - 10941))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) + 2*(185250*x^5 - (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^3 - 223150*x^3 - 5*(5545*x^5 + 4750*x^3 - sqrt(x^4 + 1)*(5545*x^3 - 3396*x) - 5015*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + 5*(63624*x^5 + 64434*x^3 - sqrt(x^4 + 1)*(63624*x^3 - 39353*x) - 64164*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 475*sqrt(x^4 + 1)*(390*x^3 - 241*x) + 67175*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(-1/20*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 1/50*sqrt(5) + 1/20) - 40*sqrt(x^4 + 1)*(18*x^2 - 11))/(x^4 + x^2 - 1)) + 1/2*sqrt(-1/20*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 1/50*sqrt(5) + 1/20)*log(1/5*(18570*x^4 + (370*x^4 - 231*x^2 + 21*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^3 + (6899*x^4 - 4378*x^2 + 398*sqrt(x^4 + 1)*(18*x^2 - 11))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 - 11465*x^2 - 5*(17741*x^4 - 10941*x^2 + sqrt(x^4 + 1)*(17687*x^2 - 10941))*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 2*(185250*x^5 - (1421*x^5 + 1301*x^3 - sqrt(x^4 + 1)*(1421*x^3 - 872*x) - 1341*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^3 - 223150*x^3 - 5*(5545*x^5 + 4750*x^3 - sqrt(x^4 + 1)*(5545*x^3 - 3396*x) - 5015*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5)^2 + 5*(63624*x^5 + 64434*x^3 - sqrt(x^4 + 1)*(63624*x^3 - 39353*x) - 64164*x)*(5*sqrt(1/10)*sqrt(29*sqrt(5) + 65) - 2*sqrt(5) - 5) - 475*sqrt(x^4 + 1)*(390*x^3 - 241*x) + 67175*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(-1/20*sqrt(1/10)*sqrt(29*sqrt(5) + 65) + 1/50*sqrt(5) + 1/20) - 40*sqrt(x^4 + 1)*(18*x^2 - 11))/(x^4 + x^2 - 1))","B",0
2942,-1,0,0,0.000000," ","integrate((-x^4+1)/(x^4+x^2+1)/(x^5-x^3)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2943,-1,0,0,0.000000," ","integrate((a^2*x^2-b)^(1/2)/(a*x^2+x*(a^2*x^2-b)^(1/2))^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2944,-1,0,0,0.000000," ","integrate((a^2*x^2+b)*(a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(a^2*x^2-b)/(a^2*x^4+b)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2945,-1,0,0,0.000000," ","integrate((a^2*x^2+b)*(a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(a^2*x^2-b)/(a^2*x^4+b)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2946,-1,0,0,0.000000," ","integrate(x^3/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2)/(-x^6+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2947,-1,0,0,0.000000," ","integrate((2*p*x^3-q)*(p^2*x^6+2*p*q*x^3-2*p*q*x^2+q^2)^(1/2)*(b*x^6+a*(p*x^3+q)^6)/x^9,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2948,-1,0,0,0.000000," ","integrate((p*x^3-2*q)*(p^2*x^6-2*p*q*x^4+2*p*q*x^3+q^2)^(1/2)*(b*x^12+a*(p*x^3+q)^6)/x^17,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2949,1,496,0,10.697848," ","integrate((p*x^4-q)*(p*x^4+q)^(1/2)/(b*x^4+a*(p*x^4+q)^2),x, algorithm=""fricas"")","-\frac{1}{2} \, \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}} \arctan\left(-\frac{2 \, {\left(a b x^{3} \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}} + {\left(a^{3} b p x^{5} + a^{3} b q x\right)} \left(-\frac{1}{a^{3} b}\right)^{\frac{3}{4}}\right)} \sqrt{p x^{4} + q} - {\left({\left(a^{4} b p^{2} x^{8} + a^{4} b q^{2} + {\left(2 \, a^{4} b p q - a^{3} b^{2}\right)} x^{4}\right)} \left(-\frac{1}{a^{3} b}\right)^{\frac{3}{4}} + 2 \, {\left(a^{2} b p x^{6} + a^{2} b q x^{2}\right)} \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}}\right)} \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}}}{a p^{2} x^{8} + {\left(2 \, a p q + b\right)} x^{4} + a q^{2}}\right) + \frac{1}{8} \, \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}} \log\left(\frac{2 \, {\left(a^{2} b p x^{6} + a^{2} b q x^{2}\right)} \left(-\frac{1}{a^{3} b}\right)^{\frac{3}{4}} + 2 \, {\left(p x^{5} - a b x^{3} \sqrt{-\frac{1}{a^{3} b}} + q x\right)} \sqrt{p x^{4} + q} - {\left(a p^{2} x^{8} + {\left(2 \, a p q - b\right)} x^{4} + a q^{2}\right)} \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}}}{2 \, {\left(a p^{2} x^{8} + {\left(2 \, a p q + b\right)} x^{4} + a q^{2}\right)}}\right) - \frac{1}{8} \, \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}} \log\left(-\frac{2 \, {\left(a^{2} b p x^{6} + a^{2} b q x^{2}\right)} \left(-\frac{1}{a^{3} b}\right)^{\frac{3}{4}} - 2 \, {\left(p x^{5} - a b x^{3} \sqrt{-\frac{1}{a^{3} b}} + q x\right)} \sqrt{p x^{4} + q} - {\left(a p^{2} x^{8} + {\left(2 \, a p q - b\right)} x^{4} + a q^{2}\right)} \left(-\frac{1}{a^{3} b}\right)^{\frac{1}{4}}}{2 \, {\left(a p^{2} x^{8} + {\left(2 \, a p q + b\right)} x^{4} + a q^{2}\right)}}\right)"," ",0,"-1/2*(-1/(a^3*b))^(1/4)*arctan(-(2*(a*b*x^3*(-1/(a^3*b))^(1/4) + (a^3*b*p*x^5 + a^3*b*q*x)*(-1/(a^3*b))^(3/4))*sqrt(p*x^4 + q) - ((a^4*b*p^2*x^8 + a^4*b*q^2 + (2*a^4*b*p*q - a^3*b^2)*x^4)*(-1/(a^3*b))^(3/4) + 2*(a^2*b*p*x^6 + a^2*b*q*x^2)*(-1/(a^3*b))^(1/4))*(-1/(a^3*b))^(1/4))/(a*p^2*x^8 + (2*a*p*q + b)*x^4 + a*q^2)) + 1/8*(-1/(a^3*b))^(1/4)*log(1/2*(2*(a^2*b*p*x^6 + a^2*b*q*x^2)*(-1/(a^3*b))^(3/4) + 2*(p*x^5 - a*b*x^3*sqrt(-1/(a^3*b)) + q*x)*sqrt(p*x^4 + q) - (a*p^2*x^8 + (2*a*p*q - b)*x^4 + a*q^2)*(-1/(a^3*b))^(1/4))/(a*p^2*x^8 + (2*a*p*q + b)*x^4 + a*q^2)) - 1/8*(-1/(a^3*b))^(1/4)*log(-1/2*(2*(a^2*b*p*x^6 + a^2*b*q*x^2)*(-1/(a^3*b))^(3/4) - 2*(p*x^5 - a*b*x^3*sqrt(-1/(a^3*b)) + q*x)*sqrt(p*x^4 + q) - (a*p^2*x^8 + (2*a*p*q - b)*x^4 + a*q^2)*(-1/(a^3*b))^(1/4))/(a*p^2*x^8 + (2*a*p*q + b)*x^4 + a*q^2))","B",0
2950,-1,0,0,0.000000," ","integrate((a*x-3*b)/(-a^2*x^2+b^2)^(1/3)/(a^2*x^2+3*b^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2951,-1,0,0,0.000000," ","integrate((x+(2*x^5+5*x^4+8*x^3+7*x^2+4*x+1)^(1/2))/(1-(2*x^5+5*x^4+8*x^3+7*x^2+4*x+1)^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2952,-1,0,0,0.000000," ","integrate(x^3*(4*a*b-3*(a+b)*x+2*x^2)/(x^2*(-a+x)*(-b+x))^(2/3)/(-a*b*d+(a+b)*d*x-d*x^2+x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2953,1,418,0,3.228565," ","integrate(x^3/(x^4+x^2)^(1/3)/(x^6-1),x, algorithm=""fricas"")","-\frac{1}{72} \, \sqrt{6} 2^{\frac{1}{6}} \arctan\left(\frac{2^{\frac{1}{6}} {\left(24 \, \sqrt{6} 2^{\frac{2}{3}} {\left(x^{8} + 2 \, x^{6} - 6 \, x^{4} + 2 \, x^{2} + 1\right)} {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} + \sqrt{6} 2^{\frac{1}{3}} {\left(x^{12} - 42 \, x^{10} - 417 \, x^{8} - 812 \, x^{6} - 417 \, x^{4} - 42 \, x^{2} + 1\right)} - 12 \, \sqrt{6} {\left(x^{10} + 33 \, x^{8} + 110 \, x^{6} + 110 \, x^{4} + 33 \, x^{2} + 1\right)} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}}\right)}}{6 \, {\left(x^{12} + 102 \, x^{10} + 447 \, x^{8} + 628 \, x^{6} + 447 \, x^{4} + 102 \, x^{2} + 1\right)}}\right) - \frac{1}{144} \cdot 2^{\frac{2}{3}} \log\left(\frac{12 \cdot 2^{\frac{2}{3}} {\left(x^{4} + 4 \, x^{2} + 1\right)} {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(x^{8} + 32 \, x^{6} + 78 \, x^{4} + 32 \, x^{2} + 1\right)} + 6 \, {\left(x^{6} + 11 \, x^{4} + 11 \, x^{2} + 1\right)} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}}}{x^{8} - 4 \, x^{6} + 6 \, x^{4} - 4 \, x^{2} + 1}\right) + \frac{1}{72} \cdot 2^{\frac{2}{3}} \log\left(-\frac{2^{\frac{2}{3}} {\left(x^{4} - 2 \, x^{2} + 1\right)} - 6 \cdot 2^{\frac{1}{3}} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{2} + 1\right)} + 12 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}}}{x^{4} - 2 \, x^{2} + 1}\right) - \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(x^{2} + 1\right)} + 2 \, \sqrt{3} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}}}{3 \, {\left(x^{2} + 1\right)}}\right) - \frac{1}{12} \, \log\left(\frac{x^{4} + x^{2} - 3 \, {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{2} + 1\right)} + 3 \, {\left(x^{4} + x^{2}\right)}^{\frac{2}{3}} + 1}{x^{4} + x^{2} + 1}\right)"," ",0,"-1/72*sqrt(6)*2^(1/6)*arctan(1/6*2^(1/6)*(24*sqrt(6)*2^(2/3)*(x^8 + 2*x^6 - 6*x^4 + 2*x^2 + 1)*(x^4 + x^2)^(2/3) + sqrt(6)*2^(1/3)*(x^12 - 42*x^10 - 417*x^8 - 812*x^6 - 417*x^4 - 42*x^2 + 1) - 12*sqrt(6)*(x^10 + 33*x^8 + 110*x^6 + 110*x^4 + 33*x^2 + 1)*(x^4 + x^2)^(1/3))/(x^12 + 102*x^10 + 447*x^8 + 628*x^6 + 447*x^4 + 102*x^2 + 1)) - 1/144*2^(2/3)*log((12*2^(2/3)*(x^4 + 4*x^2 + 1)*(x^4 + x^2)^(2/3) + 2^(1/3)*(x^8 + 32*x^6 + 78*x^4 + 32*x^2 + 1) + 6*(x^6 + 11*x^4 + 11*x^2 + 1)*(x^4 + x^2)^(1/3))/(x^8 - 4*x^6 + 6*x^4 - 4*x^2 + 1)) + 1/72*2^(2/3)*log(-(2^(2/3)*(x^4 - 2*x^2 + 1) - 6*2^(1/3)*(x^4 + x^2)^(1/3)*(x^2 + 1) + 12*(x^4 + x^2)^(2/3))/(x^4 - 2*x^2 + 1)) - 1/6*sqrt(3)*arctan(1/3*(sqrt(3)*(x^2 + 1) + 2*sqrt(3)*(x^4 + x^2)^(1/3))/(x^2 + 1)) - 1/12*log((x^4 + x^2 - 3*(x^4 + x^2)^(1/3)*(x^2 + 1) + 3*(x^4 + x^2)^(2/3) + 1)/(x^4 + x^2 + 1))","A",0
2954,1,6616,0,2.383870," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2/(x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142} \log\left(\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left(60745595 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{3} + 5 \, {\left(24298238 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 12149119 \, \sqrt{2} - 20528023336\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} + 34503497960 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} - {\left(60745595 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + 69006995920 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 34503497960 \, \sqrt{2} - 31673245796728\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} + 12525255724240 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 6262627862120 \, \sqrt{2} - 2184991273150072\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142} + 4291235658222877 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142} \log\left(-\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left(60745595 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{3} + 5 \, {\left(24298238 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 12149119 \, \sqrt{2} - 20528023336\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} + 34503497960 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} - {\left(60745595 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + 69006995920 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 34503497960 \, \sqrt{2} - 31673245796728\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} + 12525255724240 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 6262627862120 \, \sqrt{2} - 2184991273150072\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142} + 4291235658222877 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144} \log\left(\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left({\left(117039366 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 58519683 \, \sqrt{2} - 98569616782\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + 58519683 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{3} - {\left(58519683 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} + 67414674816 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 33707337408 \, \sqrt{2} - 30783549569048\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} + 33707337408 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} + 16561538446464 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 8280769223232 \, \sqrt{2} - 3603682878484760\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144} + 4075668248272853 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144} \log\left(-\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left({\left(117039366 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 58519683 \, \sqrt{2} - 98569616782\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + 58519683 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{3} - {\left(58519683 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} + 67414674816 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 33707337408 \, \sqrt{2} - 30783549569048\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} + 33707337408 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} + 16561538446464 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 8280769223232 \, \sqrt{2} - 3603682878484760\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144} + 4075668248272853 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{71}{2} \, \sqrt{2} + 2236} + \frac{1}{2} \, \sqrt{2} + 71} \log\left(\frac{1}{8} \, {\left(5 \, {\left(24298238 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 12149119 \, \sqrt{2} - 20528023336\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 94014242190 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} - {\left(60745595 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + 69006995920 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 34503497960 \, \sqrt{2} - 31673245796728\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} + 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{71}{2} \, \sqrt{2} + 2236} {\left(5 \, {\left(12149119 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)} - 18802848438 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} + 94014242190 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)} + 26626340477512 \, \sqrt{2}\right)} - 53547498172816 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - 26773749086408 \, \sqrt{2} + 2132045369314336\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{71}{2} \, \sqrt{2} + 2236} + \frac{1}{2} \, \sqrt{2} + 71} + 4291235658222877 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{71}{2} \, \sqrt{2} + 2236} + \frac{1}{2} \, \sqrt{2} + 71} \log\left(-\frac{1}{8} \, {\left(5 \, {\left(24298238 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 12149119 \, \sqrt{2} - 20528023336\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 94014242190 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} - {\left(60745595 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + 69006995920 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 34503497960 \, \sqrt{2} - 31673245796728\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} + 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{71}{2} \, \sqrt{2} + 2236} {\left(5 \, {\left(12149119 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)} - 18802848438 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} + 94014242190 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)} + 26626340477512 \, \sqrt{2}\right)} - 53547498172816 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - 26773749086408 \, \sqrt{2} + 2132045369314336\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{71}{2} \, \sqrt{2} + 2236} + \frac{1}{2} \, \sqrt{2} + 71} + 4291235658222877 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{71}{2} \, \sqrt{2} + 2236} + \frac{1}{2} \, \sqrt{2} + 71} \log\left(\frac{1}{8} \, {\left(5 \, {\left(24298238 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 12149119 \, \sqrt{2} - 20528023336\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 94014242190 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} - {\left(60745595 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + 69006995920 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 34503497960 \, \sqrt{2} - 31673245796728\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{71}{2} \, \sqrt{2} + 2236} {\left(5 \, {\left(12149119 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)} - 18802848438 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} + 94014242190 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)} + 26626340477512 \, \sqrt{2}\right)} - 53547498172816 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - 26773749086408 \, \sqrt{2} + 2132045369314336\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{71}{2} \, \sqrt{2} + 2236} + \frac{1}{2} \, \sqrt{2} + 71} + 4291235658222877 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{71}{2} \, \sqrt{2} + 2236} + \frac{1}{2} \, \sqrt{2} + 71} \log\left(-\frac{1}{8} \, {\left(5 \, {\left(24298238 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 12149119 \, \sqrt{2} - 20528023336\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 94014242190 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} - {\left(60745595 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + 69006995920 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 34503497960 \, \sqrt{2} - 31673245796728\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{71}{2} \, \sqrt{2} + 2236} {\left(5 \, {\left(12149119 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)} - 18802848438 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} + 94014242190 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)} + 26626340477512 \, \sqrt{2}\right)} - 53547498172816 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - 26773749086408 \, \sqrt{2} + 2132045369314336\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{71}{2} \, \sqrt{2} + 2236} + \frac{1}{2} \, \sqrt{2} + 71} + 4291235658222877 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 32 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{1024} \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{1}{2048} \, \sqrt{2} + \frac{71}{1024}} \log\left(8 \, {\left(60745595 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{3} + 128517740150 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + 66072753897056 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 33036376948528 \, \sqrt{2} - 3015947399062824\right)} \sqrt{-\frac{1}{1024} \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{1}{2048} \, \sqrt{2} + \frac{71}{1024}} + 4291235658222877 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 32 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{1024} \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{1}{2048} \, \sqrt{2} + \frac{71}{1024}} \log\left(-8 \, {\left(60745595 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{3} + 128517740150 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + 66072753897056 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 33036376948528 \, \sqrt{2} - 3015947399062824\right)} \sqrt{-\frac{1}{1024} \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{1}{2048} \, \sqrt{2} + \frac{71}{1024}} + 4291235658222877 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 32 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{1024} \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{1}{2048} \, \sqrt{2} + \frac{9}{128}} \log\left(8 \, {\left(58519683 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{3} + 123850119838 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} + 68420924411056 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 34210462205528 \, \sqrt{2} - 1521001659221560\right)} \sqrt{-\frac{1}{1024} \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{1}{2048} \, \sqrt{2} + \frac{9}{128}} + 4075668248272853 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 32 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{1024} \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{1}{2048} \, \sqrt{2} + \frac{9}{128}} \log\left(-8 \, {\left(58519683 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{3} + 123850119838 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} + 68420924411056 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 34210462205528 \, \sqrt{2} - 1521001659221560\right)} \sqrt{-\frac{1}{1024} \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{1}{2048} \, \sqrt{2} + \frac{9}{128}} + 4075668248272853 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{9}{2} \, \sqrt{2} - 267} + 18} \log\left(\frac{1}{4} \, {\left({\left(117039366 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 58519683 \, \sqrt{2} - 98569616782\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} - {\left(58519683 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} + 67414674816 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 33707337408 \, \sqrt{2} - 30783549569048\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} - 90142782430 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} + 16 \, {\left({\left(117039366 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 58519683 \, \sqrt{2} - 98569616782\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} + 180285564860 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 90142782430 \, \sqrt{2} + 13011989027464\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{9}{2} \, \sqrt{2} - 267} - 51859385964592 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + 25929692982296 \, \sqrt{2} - 1983039934126928\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{9}{2} \, \sqrt{2} - 267} + 18} + 4075668248272853 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{9}{2} \, \sqrt{2} - 267} + 18} \log\left(-\frac{1}{4} \, {\left({\left(117039366 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 58519683 \, \sqrt{2} - 98569616782\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} - {\left(58519683 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} + 67414674816 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 33707337408 \, \sqrt{2} - 30783549569048\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} - 90142782430 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} + 16 \, {\left({\left(117039366 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 58519683 \, \sqrt{2} - 98569616782\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} + 180285564860 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 90142782430 \, \sqrt{2} + 13011989027464\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{9}{2} \, \sqrt{2} - 267} - 51859385964592 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + 25929692982296 \, \sqrt{2} - 1983039934126928\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{9}{2} \, \sqrt{2} - 267} + 18} + 4075668248272853 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{9}{2} \, \sqrt{2} - 267} + 18} \log\left(\frac{1}{4} \, {\left({\left(117039366 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 58519683 \, \sqrt{2} - 98569616782\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} - {\left(58519683 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} + 67414674816 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 33707337408 \, \sqrt{2} - 30783549569048\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} - 90142782430 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 16 \, {\left({\left(117039366 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 58519683 \, \sqrt{2} - 98569616782\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} + 180285564860 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 90142782430 \, \sqrt{2} + 13011989027464\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{9}{2} \, \sqrt{2} - 267} - 51859385964592 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + 25929692982296 \, \sqrt{2} - 1983039934126928\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{9}{2} \, \sqrt{2} - 267} + 18} + 4075668248272853 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{9}{2} \, \sqrt{2} - 267} + 18} \log\left(-\frac{1}{4} \, {\left({\left(117039366 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 58519683 \, \sqrt{2} - 98569616782\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} - {\left(58519683 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} + 67414674816 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 33707337408 \, \sqrt{2} - 30783549569048\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} - 90142782430 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 16 \, {\left({\left(117039366 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 58519683 \, \sqrt{2} - 98569616782\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} + 180285564860 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 90142782430 \, \sqrt{2} + 13011989027464\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{9}{2} \, \sqrt{2} - 267} - 51859385964592 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + 25929692982296 \, \sqrt{2} - 1983039934126928\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{9}{2} \, \sqrt{2} - 267} + 18} + 4075668248272853 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 8 \, {\left(x^{2} - \sqrt{x^{2} + 1} x - 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{32 \, {\left(x^{2} - 1\right)}}"," ",0,"-1/32*(sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)*log(1/4*sqrt(1/2)*(60745595*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^3 + 5*(24298238*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 12149119*sqrt(2) - 20528023336)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 + 34503497960*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 - (60745595*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 69006995920*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 34503497960*sqrt(2) - 31673245796728)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) + 12525255724240*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 6262627862120*sqrt(2) - 2184991273150072)*sqrt(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) + 4291235658222877*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)*log(-1/4*sqrt(1/2)*(60745595*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^3 + 5*(24298238*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 12149119*sqrt(2) - 20528023336)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 + 34503497960*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 - (60745595*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 69006995920*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 34503497960*sqrt(2) - 31673245796728)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) + 12525255724240*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 6262627862120*sqrt(2) - 2184991273150072)*sqrt(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) + 4291235658222877*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*log(1/4*sqrt(1/2)*((117039366*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 58519683*sqrt(2) - 98569616782)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 58519683*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^3 - (58519683*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 + 67414674816*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 33707337408*sqrt(2) - 30783549569048)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144) + 33707337408*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 + 16561538446464*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 8280769223232*sqrt(2) - 3603682878484760)*sqrt(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144) + 4075668248272853*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*log(-1/4*sqrt(1/2)*((117039366*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 58519683*sqrt(2) - 98569616782)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 58519683*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^3 - (58519683*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 + 67414674816*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 33707337408*sqrt(2) - 30783549569048)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144) + 33707337408*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 + 16561538446464*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 8280769223232*sqrt(2) - 3603682878484760)*sqrt(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144) + 4075668248272853*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 71/2*sqrt(2) + 2236) + 1/2*sqrt(2) + 71)*log(1/8*(5*(24298238*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 12149119*sqrt(2) - 20528023336)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 94014242190*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 - (60745595*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 69006995920*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 34503497960*sqrt(2) - 31673245796728)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) + 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 71/2*sqrt(2) + 2236)*(5*(12149119*sqrt(2)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142) - 18802848438*sqrt(2))*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) + 94014242190*sqrt(2)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142) + 26626340477512*sqrt(2)) - 53547498172816*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 26773749086408*sqrt(2) + 2132045369314336)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 71/2*sqrt(2) + 2236) + 1/2*sqrt(2) + 71) + 4291235658222877*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 71/2*sqrt(2) + 2236) + 1/2*sqrt(2) + 71)*log(-1/8*(5*(24298238*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 12149119*sqrt(2) - 20528023336)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 94014242190*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 - (60745595*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 69006995920*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 34503497960*sqrt(2) - 31673245796728)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) + 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 71/2*sqrt(2) + 2236)*(5*(12149119*sqrt(2)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142) - 18802848438*sqrt(2))*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) + 94014242190*sqrt(2)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142) + 26626340477512*sqrt(2)) - 53547498172816*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 26773749086408*sqrt(2) + 2132045369314336)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 71/2*sqrt(2) + 2236) + 1/2*sqrt(2) + 71) + 4291235658222877*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 71/2*sqrt(2) + 2236) + 1/2*sqrt(2) + 71)*log(1/8*(5*(24298238*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 12149119*sqrt(2) - 20528023336)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 94014242190*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 - (60745595*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 69006995920*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 34503497960*sqrt(2) - 31673245796728)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 71/2*sqrt(2) + 2236)*(5*(12149119*sqrt(2)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142) - 18802848438*sqrt(2))*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) + 94014242190*sqrt(2)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142) + 26626340477512*sqrt(2)) - 53547498172816*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 26773749086408*sqrt(2) + 2132045369314336)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 71/2*sqrt(2) + 2236) + 1/2*sqrt(2) + 71) + 4291235658222877*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 71/2*sqrt(2) + 2236) + 1/2*sqrt(2) + 71)*log(-1/8*(5*(24298238*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 12149119*sqrt(2) - 20528023336)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 94014242190*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 - (60745595*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 69006995920*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 34503497960*sqrt(2) - 31673245796728)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 71/2*sqrt(2) + 2236)*(5*(12149119*sqrt(2)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142) - 18802848438*sqrt(2))*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) + 94014242190*sqrt(2)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142) + 26626340477512*sqrt(2)) - 53547498172816*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 26773749086408*sqrt(2) + 2132045369314336)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 71/2*sqrt(2) + 2236) + 1/2*sqrt(2) + 71) + 4291235658222877*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 32*(x^2 - 1)*sqrt(-1/1024*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 1/2048*sqrt(2) + 71/1024)*log(8*(60745595*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^3 + 128517740150*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 66072753897056*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 33036376948528*sqrt(2) - 3015947399062824)*sqrt(-1/1024*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 1/2048*sqrt(2) + 71/1024) + 4291235658222877*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 32*(x^2 - 1)*sqrt(-1/1024*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 1/2048*sqrt(2) + 71/1024)*log(-8*(60745595*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^3 + 128517740150*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 66072753897056*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 33036376948528*sqrt(2) - 3015947399062824)*sqrt(-1/1024*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 1/2048*sqrt(2) + 71/1024) + 4291235658222877*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 32*(x^2 - 1)*sqrt(-1/1024*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 1/2048*sqrt(2) + 9/128)*log(8*(58519683*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^3 + 123850119838*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 + 68420924411056*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 34210462205528*sqrt(2) - 1521001659221560)*sqrt(-1/1024*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 1/2048*sqrt(2) + 9/128) + 4075668248272853*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 32*(x^2 - 1)*sqrt(-1/1024*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 1/2048*sqrt(2) + 9/128)*log(-8*(58519683*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^3 + 123850119838*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 + 68420924411056*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 34210462205528*sqrt(2) - 1521001659221560)*sqrt(-1/1024*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 1/2048*sqrt(2) + 9/128) + 4075668248272853*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 9/2*sqrt(2) - 267) + 18)*log(1/4*((117039366*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 58519683*sqrt(2) - 98569616782)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 - (58519683*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 + 67414674816*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 33707337408*sqrt(2) - 30783549569048)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144) - 90142782430*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 + 16*((117039366*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 58519683*sqrt(2) - 98569616782)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144) + 180285564860*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 90142782430*sqrt(2) + 13011989027464)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 9/2*sqrt(2) - 267) - 51859385964592*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 25929692982296*sqrt(2) - 1983039934126928)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 9/2*sqrt(2) - 267) + 18) + 4075668248272853*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 9/2*sqrt(2) - 267) + 18)*log(-1/4*((117039366*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 58519683*sqrt(2) - 98569616782)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 - (58519683*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 + 67414674816*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 33707337408*sqrt(2) - 30783549569048)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144) - 90142782430*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 + 16*((117039366*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 58519683*sqrt(2) - 98569616782)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144) + 180285564860*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 90142782430*sqrt(2) + 13011989027464)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 9/2*sqrt(2) - 267) - 51859385964592*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 25929692982296*sqrt(2) - 1983039934126928)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 9/2*sqrt(2) - 267) + 18) + 4075668248272853*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 9/2*sqrt(2) - 267) + 18)*log(1/4*((117039366*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 58519683*sqrt(2) - 98569616782)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 - (58519683*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 + 67414674816*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 33707337408*sqrt(2) - 30783549569048)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144) - 90142782430*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 16*((117039366*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 58519683*sqrt(2) - 98569616782)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144) + 180285564860*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 90142782430*sqrt(2) + 13011989027464)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 9/2*sqrt(2) - 267) - 51859385964592*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 25929692982296*sqrt(2) - 1983039934126928)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 9/2*sqrt(2) - 267) + 18) + 4075668248272853*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 9/2*sqrt(2) - 267) + 18)*log(-1/4*((117039366*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 58519683*sqrt(2) - 98569616782)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 - (58519683*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 + 67414674816*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 33707337408*sqrt(2) - 30783549569048)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144) - 90142782430*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 16*((117039366*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 58519683*sqrt(2) - 98569616782)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144) + 180285564860*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 90142782430*sqrt(2) + 13011989027464)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 9/2*sqrt(2) - 267) - 51859385964592*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 25929692982296*sqrt(2) - 1983039934126928)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 9/2*sqrt(2) - 267) + 18) + 4075668248272853*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 8*(x^2 - sqrt(x^2 + 1)*x - 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 - 1)","B",0
2955,1,6616,0,2.093521," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2/(x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142} \log\left(\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left(60745595 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{3} + 5 \, {\left(24298238 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 12149119 \, \sqrt{2} - 20528023336\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} + 34503497960 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} - {\left(60745595 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + 69006995920 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 34503497960 \, \sqrt{2} - 31673245796728\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} + 12525255724240 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 6262627862120 \, \sqrt{2} - 2184991273150072\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142} + 4291235658222877 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142} \log\left(-\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left(60745595 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{3} + 5 \, {\left(24298238 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 12149119 \, \sqrt{2} - 20528023336\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} + 34503497960 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} - {\left(60745595 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + 69006995920 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 34503497960 \, \sqrt{2} - 31673245796728\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} + 12525255724240 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 6262627862120 \, \sqrt{2} - 2184991273150072\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142} + 4291235658222877 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144} \log\left(\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left({\left(117039366 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 58519683 \, \sqrt{2} - 98569616782\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + 58519683 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{3} - {\left(58519683 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} + 67414674816 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 33707337408 \, \sqrt{2} - 30783549569048\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} + 33707337408 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} + 16561538446464 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 8280769223232 \, \sqrt{2} - 3603682878484760\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144} + 4075668248272853 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144} \log\left(-\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left({\left(117039366 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 58519683 \, \sqrt{2} - 98569616782\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + 58519683 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{3} - {\left(58519683 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} + 67414674816 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 33707337408 \, \sqrt{2} - 30783549569048\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} + 33707337408 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} + 16561538446464 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 8280769223232 \, \sqrt{2} - 3603682878484760\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144} + 4075668248272853 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{71}{2} \, \sqrt{2} + 2236} + \frac{1}{2} \, \sqrt{2} + 71} \log\left(\frac{1}{8} \, {\left(5 \, {\left(24298238 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 12149119 \, \sqrt{2} - 20528023336\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 94014242190 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} - {\left(60745595 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + 69006995920 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 34503497960 \, \sqrt{2} - 31673245796728\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} + 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{71}{2} \, \sqrt{2} + 2236} {\left(5 \, {\left(12149119 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)} - 18802848438 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} + 94014242190 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)} + 26626340477512 \, \sqrt{2}\right)} - 53547498172816 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - 26773749086408 \, \sqrt{2} + 2132045369314336\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{71}{2} \, \sqrt{2} + 2236} + \frac{1}{2} \, \sqrt{2} + 71} + 4291235658222877 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{71}{2} \, \sqrt{2} + 2236} + \frac{1}{2} \, \sqrt{2} + 71} \log\left(-\frac{1}{8} \, {\left(5 \, {\left(24298238 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 12149119 \, \sqrt{2} - 20528023336\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 94014242190 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} - {\left(60745595 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + 69006995920 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 34503497960 \, \sqrt{2} - 31673245796728\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} + 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{71}{2} \, \sqrt{2} + 2236} {\left(5 \, {\left(12149119 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)} - 18802848438 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} + 94014242190 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)} + 26626340477512 \, \sqrt{2}\right)} - 53547498172816 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - 26773749086408 \, \sqrt{2} + 2132045369314336\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{71}{2} \, \sqrt{2} + 2236} + \frac{1}{2} \, \sqrt{2} + 71} + 4291235658222877 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{71}{2} \, \sqrt{2} + 2236} + \frac{1}{2} \, \sqrt{2} + 71} \log\left(\frac{1}{8} \, {\left(5 \, {\left(24298238 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 12149119 \, \sqrt{2} - 20528023336\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 94014242190 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} - {\left(60745595 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + 69006995920 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 34503497960 \, \sqrt{2} - 31673245796728\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{71}{2} \, \sqrt{2} + 2236} {\left(5 \, {\left(12149119 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)} - 18802848438 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} + 94014242190 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)} + 26626340477512 \, \sqrt{2}\right)} - 53547498172816 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - 26773749086408 \, \sqrt{2} + 2132045369314336\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{71}{2} \, \sqrt{2} + 2236} + \frac{1}{2} \, \sqrt{2} + 71} + 4291235658222877 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{71}{2} \, \sqrt{2} + 2236} + \frac{1}{2} \, \sqrt{2} + 71} \log\left(-\frac{1}{8} \, {\left(5 \, {\left(24298238 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 12149119 \, \sqrt{2} - 20528023336\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 94014242190 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} - {\left(60745595 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + 69006995920 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 34503497960 \, \sqrt{2} - 31673245796728\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{71}{2} \, \sqrt{2} + 2236} {\left(5 \, {\left(12149119 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)} - 18802848438 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} + 94014242190 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)} + 26626340477512 \, \sqrt{2}\right)} - 53547498172816 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - 26773749086408 \, \sqrt{2} + 2132045369314336\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{71}{2} \, \sqrt{2} + 2236} + \frac{1}{2} \, \sqrt{2} + 71} + 4291235658222877 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 32 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{1024} \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{1}{2048} \, \sqrt{2} + \frac{71}{1024}} \log\left(8 \, {\left(60745595 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{3} + 128517740150 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + 66072753897056 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 33036376948528 \, \sqrt{2} - 3015947399062824\right)} \sqrt{-\frac{1}{1024} \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{1}{2048} \, \sqrt{2} + \frac{71}{1024}} + 4291235658222877 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 32 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{1024} \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{1}{2048} \, \sqrt{2} + \frac{71}{1024}} \log\left(-8 \, {\left(60745595 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{3} + 128517740150 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + \sqrt{2} - 142\right)}^{2} + 66072753897056 \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} + 33036376948528 \, \sqrt{2} - 3015947399062824\right)} \sqrt{-\frac{1}{1024} \, \sqrt{\frac{1}{2}} \sqrt{7829 \, \sqrt{2} + 4471} - \frac{1}{2048} \, \sqrt{2} + \frac{71}{1024}} + 4291235658222877 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 32 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{1024} \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{1}{2048} \, \sqrt{2} + \frac{9}{128}} \log\left(8 \, {\left(58519683 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{3} + 123850119838 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} + 68420924411056 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 34210462205528 \, \sqrt{2} - 1521001659221560\right)} \sqrt{-\frac{1}{1024} \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{1}{2048} \, \sqrt{2} + \frac{9}{128}} + 4075668248272853 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 32 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{1024} \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{1}{2048} \, \sqrt{2} + \frac{9}{128}} \log\left(-8 \, {\left(58519683 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{3} + 123850119838 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} + 68420924411056 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 34210462205528 \, \sqrt{2} - 1521001659221560\right)} \sqrt{-\frac{1}{1024} \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{1}{2048} \, \sqrt{2} + \frac{9}{128}} + 4075668248272853 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{9}{2} \, \sqrt{2} - 267} + 18} \log\left(\frac{1}{4} \, {\left({\left(117039366 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 58519683 \, \sqrt{2} - 98569616782\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} - {\left(58519683 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} + 67414674816 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 33707337408 \, \sqrt{2} - 30783549569048\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} - 90142782430 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} + 16 \, {\left({\left(117039366 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 58519683 \, \sqrt{2} - 98569616782\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} + 180285564860 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 90142782430 \, \sqrt{2} + 13011989027464\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{9}{2} \, \sqrt{2} - 267} - 51859385964592 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + 25929692982296 \, \sqrt{2} - 1983039934126928\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{9}{2} \, \sqrt{2} - 267} + 18} + 4075668248272853 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{9}{2} \, \sqrt{2} - 267} + 18} \log\left(-\frac{1}{4} \, {\left({\left(117039366 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 58519683 \, \sqrt{2} - 98569616782\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} - {\left(58519683 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} + 67414674816 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 33707337408 \, \sqrt{2} - 30783549569048\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} - 90142782430 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} + 16 \, {\left({\left(117039366 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 58519683 \, \sqrt{2} - 98569616782\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} + 180285564860 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 90142782430 \, \sqrt{2} + 13011989027464\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{9}{2} \, \sqrt{2} - 267} - 51859385964592 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + 25929692982296 \, \sqrt{2} - 1983039934126928\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{9}{2} \, \sqrt{2} - 267} + 18} + 4075668248272853 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{9}{2} \, \sqrt{2} - 267} + 18} \log\left(\frac{1}{4} \, {\left({\left(117039366 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 58519683 \, \sqrt{2} - 98569616782\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} - {\left(58519683 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} + 67414674816 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 33707337408 \, \sqrt{2} - 30783549569048\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} - 90142782430 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 16 \, {\left({\left(117039366 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 58519683 \, \sqrt{2} - 98569616782\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} + 180285564860 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 90142782430 \, \sqrt{2} + 13011989027464\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{9}{2} \, \sqrt{2} - 267} - 51859385964592 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + 25929692982296 \, \sqrt{2} - 1983039934126928\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{9}{2} \, \sqrt{2} - 267} + 18} + 4075668248272853 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{9}{2} \, \sqrt{2} - 267} + 18} \log\left(-\frac{1}{4} \, {\left({\left(117039366 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 58519683 \, \sqrt{2} - 98569616782\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} - {\left(58519683 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} + 67414674816 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 33707337408 \, \sqrt{2} - 30783549569048\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} - 90142782430 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 16 \, {\left({\left(117039366 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 58519683 \, \sqrt{2} - 98569616782\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} + 180285564860 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - 90142782430 \, \sqrt{2} + 13011989027464\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{9}{2} \, \sqrt{2} - 267} - 51859385964592 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + 25929692982296 \, \sqrt{2} - 1983039934126928\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{7585 \, \sqrt{2} - 4273} + \frac{9}{2} \, \sqrt{2} - 267} + 18} + 4075668248272853 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 8 \, {\left(x^{2} - \sqrt{x^{2} + 1} x - 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{32 \, {\left(x^{2} - 1\right)}}"," ",0,"-1/32*(sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)*log(1/4*sqrt(1/2)*(60745595*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^3 + 5*(24298238*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 12149119*sqrt(2) - 20528023336)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 + 34503497960*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 - (60745595*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 69006995920*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 34503497960*sqrt(2) - 31673245796728)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) + 12525255724240*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 6262627862120*sqrt(2) - 2184991273150072)*sqrt(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) + 4291235658222877*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)*log(-1/4*sqrt(1/2)*(60745595*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^3 + 5*(24298238*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 12149119*sqrt(2) - 20528023336)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 + 34503497960*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 - (60745595*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 69006995920*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 34503497960*sqrt(2) - 31673245796728)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) + 12525255724240*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 6262627862120*sqrt(2) - 2184991273150072)*sqrt(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) + 4291235658222877*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*log(1/4*sqrt(1/2)*((117039366*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 58519683*sqrt(2) - 98569616782)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 58519683*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^3 - (58519683*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 + 67414674816*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 33707337408*sqrt(2) - 30783549569048)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144) + 33707337408*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 + 16561538446464*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 8280769223232*sqrt(2) - 3603682878484760)*sqrt(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144) + 4075668248272853*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*log(-1/4*sqrt(1/2)*((117039366*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 58519683*sqrt(2) - 98569616782)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 58519683*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^3 - (58519683*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 + 67414674816*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 33707337408*sqrt(2) - 30783549569048)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144) + 33707337408*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 + 16561538446464*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 8280769223232*sqrt(2) - 3603682878484760)*sqrt(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144) + 4075668248272853*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 71/2*sqrt(2) + 2236) + 1/2*sqrt(2) + 71)*log(1/8*(5*(24298238*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 12149119*sqrt(2) - 20528023336)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 94014242190*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 - (60745595*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 69006995920*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 34503497960*sqrt(2) - 31673245796728)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) + 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 71/2*sqrt(2) + 2236)*(5*(12149119*sqrt(2)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142) - 18802848438*sqrt(2))*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) + 94014242190*sqrt(2)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142) + 26626340477512*sqrt(2)) - 53547498172816*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 26773749086408*sqrt(2) + 2132045369314336)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 71/2*sqrt(2) + 2236) + 1/2*sqrt(2) + 71) + 4291235658222877*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 71/2*sqrt(2) + 2236) + 1/2*sqrt(2) + 71)*log(-1/8*(5*(24298238*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 12149119*sqrt(2) - 20528023336)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 94014242190*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 - (60745595*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 69006995920*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 34503497960*sqrt(2) - 31673245796728)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) + 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 71/2*sqrt(2) + 2236)*(5*(12149119*sqrt(2)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142) - 18802848438*sqrt(2))*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) + 94014242190*sqrt(2)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142) + 26626340477512*sqrt(2)) - 53547498172816*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 26773749086408*sqrt(2) + 2132045369314336)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 71/2*sqrt(2) + 2236) + 1/2*sqrt(2) + 71) + 4291235658222877*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 71/2*sqrt(2) + 2236) + 1/2*sqrt(2) + 71)*log(1/8*(5*(24298238*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 12149119*sqrt(2) - 20528023336)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 94014242190*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 - (60745595*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 69006995920*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 34503497960*sqrt(2) - 31673245796728)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 71/2*sqrt(2) + 2236)*(5*(12149119*sqrt(2)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142) - 18802848438*sqrt(2))*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) + 94014242190*sqrt(2)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142) + 26626340477512*sqrt(2)) - 53547498172816*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 26773749086408*sqrt(2) + 2132045369314336)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 71/2*sqrt(2) + 2236) + 1/2*sqrt(2) + 71) + 4291235658222877*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 71/2*sqrt(2) + 2236) + 1/2*sqrt(2) + 71)*log(-1/8*(5*(24298238*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 12149119*sqrt(2) - 20528023336)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 94014242190*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 - (60745595*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 69006995920*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 34503497960*sqrt(2) - 31673245796728)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 71/2*sqrt(2) + 2236)*(5*(12149119*sqrt(2)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142) - 18802848438*sqrt(2))*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) + 94014242190*sqrt(2)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142) + 26626340477512*sqrt(2)) - 53547498172816*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 26773749086408*sqrt(2) + 2132045369314336)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 71/2*sqrt(2) + 2236) + 1/2*sqrt(2) + 71) + 4291235658222877*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 32*(x^2 - 1)*sqrt(-1/1024*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 1/2048*sqrt(2) + 71/1024)*log(8*(60745595*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^3 + 128517740150*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 66072753897056*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 33036376948528*sqrt(2) - 3015947399062824)*sqrt(-1/1024*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 1/2048*sqrt(2) + 71/1024) + 4291235658222877*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 32*(x^2 - 1)*sqrt(-1/1024*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 1/2048*sqrt(2) + 71/1024)*log(-8*(60745595*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^3 + 128517740150*(2*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + sqrt(2) - 142)^2 + 66072753897056*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) + 33036376948528*sqrt(2) - 3015947399062824)*sqrt(-1/1024*sqrt(1/2)*sqrt(7829*sqrt(2) + 4471) - 1/2048*sqrt(2) + 71/1024) + 4291235658222877*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 32*(x^2 - 1)*sqrt(-1/1024*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 1/2048*sqrt(2) + 9/128)*log(8*(58519683*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^3 + 123850119838*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 + 68420924411056*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 34210462205528*sqrt(2) - 1521001659221560)*sqrt(-1/1024*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 1/2048*sqrt(2) + 9/128) + 4075668248272853*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 32*(x^2 - 1)*sqrt(-1/1024*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 1/2048*sqrt(2) + 9/128)*log(-8*(58519683*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^3 + 123850119838*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 + 68420924411056*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 34210462205528*sqrt(2) - 1521001659221560)*sqrt(-1/1024*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 1/2048*sqrt(2) + 9/128) + 4075668248272853*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 9/2*sqrt(2) - 267) + 18)*log(1/4*((117039366*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 58519683*sqrt(2) - 98569616782)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 - (58519683*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 + 67414674816*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 33707337408*sqrt(2) - 30783549569048)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144) - 90142782430*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 + 16*((117039366*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 58519683*sqrt(2) - 98569616782)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144) + 180285564860*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 90142782430*sqrt(2) + 13011989027464)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 9/2*sqrt(2) - 267) - 51859385964592*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 25929692982296*sqrt(2) - 1983039934126928)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 9/2*sqrt(2) - 267) + 18) + 4075668248272853*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 9/2*sqrt(2) - 267) + 18)*log(-1/4*((117039366*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 58519683*sqrt(2) - 98569616782)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 - (58519683*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 + 67414674816*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 33707337408*sqrt(2) - 30783549569048)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144) - 90142782430*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 + 16*((117039366*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 58519683*sqrt(2) - 98569616782)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144) + 180285564860*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 90142782430*sqrt(2) + 13011989027464)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 9/2*sqrt(2) - 267) - 51859385964592*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 25929692982296*sqrt(2) - 1983039934126928)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 9/2*sqrt(2) - 267) + 18) + 4075668248272853*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 9/2*sqrt(2) - 267) + 18)*log(1/4*((117039366*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 58519683*sqrt(2) - 98569616782)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 - (58519683*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 + 67414674816*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 33707337408*sqrt(2) - 30783549569048)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144) - 90142782430*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 16*((117039366*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 58519683*sqrt(2) - 98569616782)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144) + 180285564860*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 90142782430*sqrt(2) + 13011989027464)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 9/2*sqrt(2) - 267) - 51859385964592*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 25929692982296*sqrt(2) - 1983039934126928)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 9/2*sqrt(2) - 267) + 18) + 4075668248272853*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 9/2*sqrt(2) - 267) + 18)*log(-1/4*((117039366*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 58519683*sqrt(2) - 98569616782)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 - (58519683*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 + 67414674816*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 33707337408*sqrt(2) - 30783549569048)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144) - 90142782430*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 16*((117039366*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 58519683*sqrt(2) - 98569616782)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144) + 180285564860*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - 90142782430*sqrt(2) + 13011989027464)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 9/2*sqrt(2) - 267) - 51859385964592*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 25929692982296*sqrt(2) - 1983039934126928)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(7585*sqrt(2) - 4273) + 9/2*sqrt(2) - 267) + 18) + 4075668248272853*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 8*(x^2 - sqrt(x^2 + 1)*x - 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 - 1)","B",0
2956,1,6606,0,2.002125," ","integrate((x^2+1)^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2,x, algorithm=""fricas"")","-\frac{\sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14} \log\left(\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left(10203 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{3} + {\left(20406 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 10203 \, \sqrt{2} - 148696\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} + 571368 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} - 3 \, {\left(3401 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + 380912 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 190456 \, \sqrt{2} - 2723784\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} + 27262416 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 13631208 \, \sqrt{2} - 192953624\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14} + 825917 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14} \log\left(-\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left(10203 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{3} + {\left(20406 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 10203 \, \sqrt{2} - 148696\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} + 571368 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} - 3 \, {\left(3401 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + 380912 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 190456 \, \sqrt{2} - 2723784\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} + 27262416 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 13631208 \, \sqrt{2} - 192953624\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14} + 825917 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16} \log\left(\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + 3075 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{3} - 3 \, {\left(1025 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 131200 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 65600 \, \sqrt{2} - 1943144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} + 196800 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 8265600 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 4132800 \, \sqrt{2} - 75955768\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16} + 10121717 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16} \log\left(-\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + 3075 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{3} - 3 \, {\left(1025 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 131200 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 65600 \, \sqrt{2} - 1943144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} + 196800 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 8265600 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 4132800 \, \sqrt{2} - 75955768\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16} + 10121717 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} + \frac{1}{2} \, \sqrt{2} + 7} \log\left(\frac{1}{8} \, {\left({\left(20406 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 10203 \, \sqrt{2} - 148696\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 5854 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} - 3 \, {\left(3401 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + 380912 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 190456 \, \sqrt{2} - 2723784\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} + 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} {\left({\left(10203 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)} - 5854 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} + 5854 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)} + 155624 \, \sqrt{2}\right)} - 344400 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - 172200 \, \sqrt{2} - 282720\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} + \frac{1}{2} \, \sqrt{2} + 7} + 825917 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} + \frac{1}{2} \, \sqrt{2} + 7} \log\left(-\frac{1}{8} \, {\left({\left(20406 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 10203 \, \sqrt{2} - 148696\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 5854 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} - 3 \, {\left(3401 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + 380912 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 190456 \, \sqrt{2} - 2723784\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} + 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} {\left({\left(10203 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)} - 5854 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} + 5854 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)} + 155624 \, \sqrt{2}\right)} - 344400 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - 172200 \, \sqrt{2} - 282720\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} + \frac{1}{2} \, \sqrt{2} + 7} + 825917 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} + \frac{1}{2} \, \sqrt{2} + 7} \log\left(\frac{1}{8} \, {\left({\left(20406 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 10203 \, \sqrt{2} - 148696\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 5854 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} - 3 \, {\left(3401 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + 380912 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 190456 \, \sqrt{2} - 2723784\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} {\left({\left(10203 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)} - 5854 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} + 5854 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)} + 155624 \, \sqrt{2}\right)} - 344400 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - 172200 \, \sqrt{2} - 282720\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} + \frac{1}{2} \, \sqrt{2} + 7} + 825917 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} + \frac{1}{2} \, \sqrt{2} + 7} \log\left(-\frac{1}{8} \, {\left({\left(20406 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 10203 \, \sqrt{2} - 148696\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 5854 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} - 3 \, {\left(3401 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + 380912 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 190456 \, \sqrt{2} - 2723784\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} {\left({\left(10203 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)} - 5854 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} + 5854 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)} + 155624 \, \sqrt{2}\right)} - 344400 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - 172200 \, \sqrt{2} - 282720\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} + \frac{1}{2} \, \sqrt{2} + 7} + 825917 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{256} \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{1}{512} \, \sqrt{2} + \frac{7}{256}} \log\left(4 \, {\left(10203 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{3} + 577222 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + 27606816 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 13803408 \, \sqrt{2} - 47309512\right)} \sqrt{-\frac{1}{256} \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{1}{512} \, \sqrt{2} + \frac{7}{256}} + 825917 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{256} \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{1}{512} \, \sqrt{2} + \frac{7}{256}} \log\left(-4 \, {\left(10203 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{3} + 577222 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + 27606816 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 13803408 \, \sqrt{2} - 47309512\right)} \sqrt{-\frac{1}{256} \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{1}{512} \, \sqrt{2} + \frac{7}{256}} + 825917 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{256} \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{512} \, \sqrt{2} + \frac{1}{32}} \log\left(4 \, {\left(3075 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{3} + 277214 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 13626864 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 6813432 \, \sqrt{2} - 64497944\right)} \sqrt{-\frac{1}{256} \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{512} \, \sqrt{2} + \frac{1}{32}} + 10121717 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{256} \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{512} \, \sqrt{2} + \frac{1}{32}} \log\left(-4 \, {\left(3075 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{3} + 277214 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 13626864 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 6813432 \, \sqrt{2} - 64497944\right)} \sqrt{-\frac{1}{256} \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{512} \, \sqrt{2} + \frac{1}{32}} + 10121717 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} + 2} \log\left(\frac{1}{4} \, {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} - 3 \, {\left(1025 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 131200 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 65600 \, \sqrt{2} - 1943144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} - 80414 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 16 \, {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} + 160828 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 80414 \, \sqrt{2} + 1179240\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} - 5361264 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + 2680632 \, \sqrt{2} + 4214512\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} + 2} + 10121717 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} + 2} \log\left(-\frac{1}{4} \, {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} - 3 \, {\left(1025 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 131200 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 65600 \, \sqrt{2} - 1943144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} - 80414 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 16 \, {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} + 160828 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 80414 \, \sqrt{2} + 1179240\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} - 5361264 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + 2680632 \, \sqrt{2} + 4214512\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} + 2} + 10121717 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} + 2} \log\left(\frac{1}{4} \, {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} - 3 \, {\left(1025 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 131200 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 65600 \, \sqrt{2} - 1943144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} - 80414 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - 16 \, {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} + 160828 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 80414 \, \sqrt{2} + 1179240\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} - 5361264 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + 2680632 \, \sqrt{2} + 4214512\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} + 2} + 10121717 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} + 2} \log\left(-\frac{1}{4} \, {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} - 3 \, {\left(1025 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 131200 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 65600 \, \sqrt{2} - 1943144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} - 80414 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - 16 \, {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} + 160828 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 80414 \, \sqrt{2} + 1179240\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} - 5361264 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + 2680632 \, \sqrt{2} + 4214512\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} + 2} + 10121717 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 8 \, {\left(x^{2} - \sqrt{x^{2} + 1} x - 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{16 \, {\left(x^{2} - 1\right)}}"," ",0,"-1/16*(sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)*log(1/4*sqrt(1/2)*(10203*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^3 + (20406*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 10203*sqrt(2) - 148696)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 + 571368*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 - 3*(3401*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 380912*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 190456*sqrt(2) - 2723784)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 27262416*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 13631208*sqrt(2) - 192953624)*sqrt(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 825917*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)*log(-1/4*sqrt(1/2)*(10203*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^3 + (20406*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 10203*sqrt(2) - 148696)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 + 571368*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 - 3*(3401*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 380912*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 190456*sqrt(2) - 2723784)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 27262416*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 13631208*sqrt(2) - 192953624)*sqrt(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 825917*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*log(1/4*sqrt(1/2)*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 3075*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^3 - 3*(1025*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 131200*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 65600*sqrt(2) - 1943144)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) + 196800*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 8265600*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 4132800*sqrt(2) - 75955768)*sqrt(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) + 10121717*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*log(-1/4*sqrt(1/2)*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 3075*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^3 - 3*(1025*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 131200*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 65600*sqrt(2) - 1943144)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) + 196800*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 8265600*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 4132800*sqrt(2) - 75955768)*sqrt(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) + 10121717*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20) + 1/2*sqrt(2) + 7)*log(1/8*((20406*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 10203*sqrt(2) - 148696)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 5854*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 - 3*(3401*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 380912*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 190456*sqrt(2) - 2723784)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20)*((10203*sqrt(2)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14) - 5854*sqrt(2))*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 5854*sqrt(2)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14) + 155624*sqrt(2)) - 344400*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 172200*sqrt(2) - 282720)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20) + 1/2*sqrt(2) + 7) + 825917*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20) + 1/2*sqrt(2) + 7)*log(-1/8*((20406*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 10203*sqrt(2) - 148696)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 5854*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 - 3*(3401*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 380912*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 190456*sqrt(2) - 2723784)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20)*((10203*sqrt(2)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14) - 5854*sqrt(2))*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 5854*sqrt(2)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14) + 155624*sqrt(2)) - 344400*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 172200*sqrt(2) - 282720)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20) + 1/2*sqrt(2) + 7) + 825917*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20) + 1/2*sqrt(2) + 7)*log(1/8*((20406*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 10203*sqrt(2) - 148696)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 5854*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 - 3*(3401*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 380912*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 190456*sqrt(2) - 2723784)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20)*((10203*sqrt(2)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14) - 5854*sqrt(2))*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 5854*sqrt(2)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14) + 155624*sqrt(2)) - 344400*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 172200*sqrt(2) - 282720)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20) + 1/2*sqrt(2) + 7) + 825917*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20) + 1/2*sqrt(2) + 7)*log(-1/8*((20406*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 10203*sqrt(2) - 148696)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 5854*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 - 3*(3401*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 380912*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 190456*sqrt(2) - 2723784)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20)*((10203*sqrt(2)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14) - 5854*sqrt(2))*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 5854*sqrt(2)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14) + 155624*sqrt(2)) - 344400*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 172200*sqrt(2) - 282720)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20) + 1/2*sqrt(2) + 7) + 825917*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 16*(x^2 - 1)*sqrt(-1/256*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 1/512*sqrt(2) + 7/256)*log(4*(10203*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^3 + 577222*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 27606816*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 13803408*sqrt(2) - 47309512)*sqrt(-1/256*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 1/512*sqrt(2) + 7/256) + 825917*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 16*(x^2 - 1)*sqrt(-1/256*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 1/512*sqrt(2) + 7/256)*log(-4*(10203*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^3 + 577222*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 27606816*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 13803408*sqrt(2) - 47309512)*sqrt(-1/256*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 1/512*sqrt(2) + 7/256) + 825917*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 16*(x^2 - 1)*sqrt(-1/256*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/512*sqrt(2) + 1/32)*log(4*(3075*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^3 + 277214*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 13626864*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 6813432*sqrt(2) - 64497944)*sqrt(-1/256*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/512*sqrt(2) + 1/32) + 10121717*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 16*(x^2 - 1)*sqrt(-1/256*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/512*sqrt(2) + 1/32)*log(-4*(3075*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^3 + 277214*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 13626864*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 6813432*sqrt(2) - 64497944)*sqrt(-1/256*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/512*sqrt(2) + 1/32) + 10121717*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) + 2)*log(1/4*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 - 3*(1025*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 131200*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 65600*sqrt(2) - 1943144)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) - 80414*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 16*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) + 160828*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 80414*sqrt(2) + 1179240)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) - 5361264*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 2680632*sqrt(2) + 4214512)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) + 2) + 10121717*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) + 2)*log(-1/4*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 - 3*(1025*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 131200*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 65600*sqrt(2) - 1943144)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) - 80414*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 16*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) + 160828*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 80414*sqrt(2) + 1179240)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) - 5361264*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 2680632*sqrt(2) + 4214512)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) + 2) + 10121717*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) + 2)*log(1/4*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 - 3*(1025*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 131200*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 65600*sqrt(2) - 1943144)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) - 80414*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - 16*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) + 160828*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 80414*sqrt(2) + 1179240)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) - 5361264*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 2680632*sqrt(2) + 4214512)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) + 2) + 10121717*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) + 2)*log(-1/4*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 - 3*(1025*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 131200*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 65600*sqrt(2) - 1943144)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) - 80414*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - 16*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) + 160828*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 80414*sqrt(2) + 1179240)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) - 5361264*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 2680632*sqrt(2) + 4214512)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) + 2) + 10121717*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 8*(x^2 - sqrt(x^2 + 1)*x - 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 - 1)","B",0
2957,1,6606,0,2.051994," ","integrate((x^2+1)^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2,x, algorithm=""fricas"")","-\frac{\sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14} \log\left(\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left(10203 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{3} + {\left(20406 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 10203 \, \sqrt{2} - 148696\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} + 571368 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} - 3 \, {\left(3401 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + 380912 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 190456 \, \sqrt{2} - 2723784\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} + 27262416 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 13631208 \, \sqrt{2} - 192953624\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14} + 825917 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14} \log\left(-\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left(10203 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{3} + {\left(20406 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 10203 \, \sqrt{2} - 148696\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} + 571368 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} - 3 \, {\left(3401 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + 380912 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 190456 \, \sqrt{2} - 2723784\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} + 27262416 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 13631208 \, \sqrt{2} - 192953624\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14} + 825917 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16} \log\left(\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + 3075 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{3} - 3 \, {\left(1025 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 131200 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 65600 \, \sqrt{2} - 1943144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} + 196800 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 8265600 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 4132800 \, \sqrt{2} - 75955768\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16} + 10121717 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16} \log\left(-\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + 3075 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{3} - 3 \, {\left(1025 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 131200 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 65600 \, \sqrt{2} - 1943144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} + 196800 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 8265600 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 4132800 \, \sqrt{2} - 75955768\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16} + 10121717 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} + \frac{1}{2} \, \sqrt{2} + 7} \log\left(\frac{1}{8} \, {\left({\left(20406 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 10203 \, \sqrt{2} - 148696\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 5854 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} - 3 \, {\left(3401 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + 380912 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 190456 \, \sqrt{2} - 2723784\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} + 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} {\left({\left(10203 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)} - 5854 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} + 5854 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)} + 155624 \, \sqrt{2}\right)} - 344400 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - 172200 \, \sqrt{2} - 282720\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} + \frac{1}{2} \, \sqrt{2} + 7} + 825917 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} + \frac{1}{2} \, \sqrt{2} + 7} \log\left(-\frac{1}{8} \, {\left({\left(20406 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 10203 \, \sqrt{2} - 148696\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 5854 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} - 3 \, {\left(3401 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + 380912 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 190456 \, \sqrt{2} - 2723784\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} + 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} {\left({\left(10203 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)} - 5854 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} + 5854 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)} + 155624 \, \sqrt{2}\right)} - 344400 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - 172200 \, \sqrt{2} - 282720\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} + \frac{1}{2} \, \sqrt{2} + 7} + 825917 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} + \frac{1}{2} \, \sqrt{2} + 7} \log\left(\frac{1}{8} \, {\left({\left(20406 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 10203 \, \sqrt{2} - 148696\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 5854 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} - 3 \, {\left(3401 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + 380912 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 190456 \, \sqrt{2} - 2723784\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} {\left({\left(10203 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)} - 5854 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} + 5854 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)} + 155624 \, \sqrt{2}\right)} - 344400 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - 172200 \, \sqrt{2} - 282720\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} + \frac{1}{2} \, \sqrt{2} + 7} + 825917 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} + \frac{1}{2} \, \sqrt{2} + 7} \log\left(-\frac{1}{8} \, {\left({\left(20406 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 10203 \, \sqrt{2} - 148696\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 5854 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} - 3 \, {\left(3401 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + 380912 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 190456 \, \sqrt{2} - 2723784\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} {\left({\left(10203 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)} - 5854 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} + 5854 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)} + 155624 \, \sqrt{2}\right)} - 344400 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - 172200 \, \sqrt{2} - 282720\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} + \frac{1}{2} \, \sqrt{2} + 7} + 825917 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{256} \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{1}{512} \, \sqrt{2} + \frac{7}{256}} \log\left(4 \, {\left(10203 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{3} + 577222 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + 27606816 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 13803408 \, \sqrt{2} - 47309512\right)} \sqrt{-\frac{1}{256} \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{1}{512} \, \sqrt{2} + \frac{7}{256}} + 825917 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{256} \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{1}{512} \, \sqrt{2} + \frac{7}{256}} \log\left(-4 \, {\left(10203 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{3} + 577222 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + 27606816 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 13803408 \, \sqrt{2} - 47309512\right)} \sqrt{-\frac{1}{256} \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{1}{512} \, \sqrt{2} + \frac{7}{256}} + 825917 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{256} \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{512} \, \sqrt{2} + \frac{1}{32}} \log\left(4 \, {\left(3075 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{3} + 277214 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 13626864 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 6813432 \, \sqrt{2} - 64497944\right)} \sqrt{-\frac{1}{256} \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{512} \, \sqrt{2} + \frac{1}{32}} + 10121717 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{256} \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{512} \, \sqrt{2} + \frac{1}{32}} \log\left(-4 \, {\left(3075 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{3} + 277214 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 13626864 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 6813432 \, \sqrt{2} - 64497944\right)} \sqrt{-\frac{1}{256} \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{512} \, \sqrt{2} + \frac{1}{32}} + 10121717 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} + 2} \log\left(\frac{1}{4} \, {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} - 3 \, {\left(1025 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 131200 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 65600 \, \sqrt{2} - 1943144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} - 80414 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 16 \, {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} + 160828 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 80414 \, \sqrt{2} + 1179240\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} - 5361264 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + 2680632 \, \sqrt{2} + 4214512\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} + 2} + 10121717 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} + 2} \log\left(-\frac{1}{4} \, {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} - 3 \, {\left(1025 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 131200 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 65600 \, \sqrt{2} - 1943144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} - 80414 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 16 \, {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} + 160828 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 80414 \, \sqrt{2} + 1179240\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} - 5361264 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + 2680632 \, \sqrt{2} + 4214512\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} + 2} + 10121717 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} + 2} \log\left(\frac{1}{4} \, {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} - 3 \, {\left(1025 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 131200 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 65600 \, \sqrt{2} - 1943144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} - 80414 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - 16 \, {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} + 160828 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 80414 \, \sqrt{2} + 1179240\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} - 5361264 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + 2680632 \, \sqrt{2} + 4214512\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} + 2} + 10121717 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} + 2} \log\left(-\frac{1}{4} \, {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} - 3 \, {\left(1025 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 131200 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 65600 \, \sqrt{2} - 1943144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} - 80414 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - 16 \, {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} + 160828 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 80414 \, \sqrt{2} + 1179240\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} - 5361264 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + 2680632 \, \sqrt{2} + 4214512\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} + 2} + 10121717 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 8 \, {\left(x^{2} - \sqrt{x^{2} + 1} x - 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{16 \, {\left(x^{2} - 1\right)}}"," ",0,"-1/16*(sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)*log(1/4*sqrt(1/2)*(10203*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^3 + (20406*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 10203*sqrt(2) - 148696)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 + 571368*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 - 3*(3401*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 380912*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 190456*sqrt(2) - 2723784)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 27262416*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 13631208*sqrt(2) - 192953624)*sqrt(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 825917*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)*log(-1/4*sqrt(1/2)*(10203*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^3 + (20406*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 10203*sqrt(2) - 148696)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 + 571368*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 - 3*(3401*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 380912*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 190456*sqrt(2) - 2723784)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 27262416*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 13631208*sqrt(2) - 192953624)*sqrt(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 825917*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*log(1/4*sqrt(1/2)*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 3075*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^3 - 3*(1025*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 131200*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 65600*sqrt(2) - 1943144)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) + 196800*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 8265600*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 4132800*sqrt(2) - 75955768)*sqrt(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) + 10121717*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*log(-1/4*sqrt(1/2)*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 3075*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^3 - 3*(1025*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 131200*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 65600*sqrt(2) - 1943144)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) + 196800*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 8265600*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 4132800*sqrt(2) - 75955768)*sqrt(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) + 10121717*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20) + 1/2*sqrt(2) + 7)*log(1/8*((20406*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 10203*sqrt(2) - 148696)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 5854*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 - 3*(3401*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 380912*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 190456*sqrt(2) - 2723784)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20)*((10203*sqrt(2)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14) - 5854*sqrt(2))*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 5854*sqrt(2)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14) + 155624*sqrt(2)) - 344400*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 172200*sqrt(2) - 282720)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20) + 1/2*sqrt(2) + 7) + 825917*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20) + 1/2*sqrt(2) + 7)*log(-1/8*((20406*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 10203*sqrt(2) - 148696)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 5854*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 - 3*(3401*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 380912*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 190456*sqrt(2) - 2723784)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20)*((10203*sqrt(2)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14) - 5854*sqrt(2))*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 5854*sqrt(2)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14) + 155624*sqrt(2)) - 344400*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 172200*sqrt(2) - 282720)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20) + 1/2*sqrt(2) + 7) + 825917*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20) + 1/2*sqrt(2) + 7)*log(1/8*((20406*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 10203*sqrt(2) - 148696)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 5854*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 - 3*(3401*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 380912*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 190456*sqrt(2) - 2723784)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20)*((10203*sqrt(2)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14) - 5854*sqrt(2))*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 5854*sqrt(2)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14) + 155624*sqrt(2)) - 344400*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 172200*sqrt(2) - 282720)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20) + 1/2*sqrt(2) + 7) + 825917*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20) + 1/2*sqrt(2) + 7)*log(-1/8*((20406*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 10203*sqrt(2) - 148696)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 5854*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 - 3*(3401*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 380912*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 190456*sqrt(2) - 2723784)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20)*((10203*sqrt(2)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14) - 5854*sqrt(2))*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 5854*sqrt(2)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14) + 155624*sqrt(2)) - 344400*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 172200*sqrt(2) - 282720)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20) + 1/2*sqrt(2) + 7) + 825917*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 16*(x^2 - 1)*sqrt(-1/256*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 1/512*sqrt(2) + 7/256)*log(4*(10203*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^3 + 577222*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 27606816*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 13803408*sqrt(2) - 47309512)*sqrt(-1/256*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 1/512*sqrt(2) + 7/256) + 825917*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 16*(x^2 - 1)*sqrt(-1/256*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 1/512*sqrt(2) + 7/256)*log(-4*(10203*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^3 + 577222*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 27606816*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 13803408*sqrt(2) - 47309512)*sqrt(-1/256*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 1/512*sqrt(2) + 7/256) + 825917*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 16*(x^2 - 1)*sqrt(-1/256*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/512*sqrt(2) + 1/32)*log(4*(3075*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^3 + 277214*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 13626864*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 6813432*sqrt(2) - 64497944)*sqrt(-1/256*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/512*sqrt(2) + 1/32) + 10121717*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 16*(x^2 - 1)*sqrt(-1/256*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/512*sqrt(2) + 1/32)*log(-4*(3075*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^3 + 277214*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 13626864*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 6813432*sqrt(2) - 64497944)*sqrt(-1/256*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/512*sqrt(2) + 1/32) + 10121717*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) + 2)*log(1/4*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 - 3*(1025*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 131200*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 65600*sqrt(2) - 1943144)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) - 80414*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 16*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) + 160828*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 80414*sqrt(2) + 1179240)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) - 5361264*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 2680632*sqrt(2) + 4214512)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) + 2) + 10121717*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) + 2)*log(-1/4*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 - 3*(1025*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 131200*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 65600*sqrt(2) - 1943144)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) - 80414*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 16*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) + 160828*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 80414*sqrt(2) + 1179240)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) - 5361264*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 2680632*sqrt(2) + 4214512)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) + 2) + 10121717*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) + 2)*log(1/4*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 - 3*(1025*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 131200*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 65600*sqrt(2) - 1943144)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) - 80414*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - 16*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) + 160828*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 80414*sqrt(2) + 1179240)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) - 5361264*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 2680632*sqrt(2) + 4214512)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) + 2) + 10121717*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) + 2)*log(-1/4*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 - 3*(1025*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 131200*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 65600*sqrt(2) - 1943144)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) - 80414*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - 16*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) + 160828*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 80414*sqrt(2) + 1179240)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) - 5361264*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 2680632*sqrt(2) + 4214512)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) + 2) + 10121717*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 8*(x^2 - sqrt(x^2 + 1)*x - 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 - 1)","B",0
2958,1,6606,0,2.088253," ","integrate((x^2+1)^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2,x, algorithm=""fricas"")","-\frac{\sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14} \log\left(\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left(10203 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{3} + {\left(20406 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 10203 \, \sqrt{2} - 148696\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} + 571368 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} - 3 \, {\left(3401 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + 380912 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 190456 \, \sqrt{2} - 2723784\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} + 27262416 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 13631208 \, \sqrt{2} - 192953624\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14} + 825917 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14} \log\left(-\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left(10203 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{3} + {\left(20406 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 10203 \, \sqrt{2} - 148696\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} + 571368 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} - 3 \, {\left(3401 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + 380912 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 190456 \, \sqrt{2} - 2723784\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} + 27262416 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 13631208 \, \sqrt{2} - 192953624\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14} + 825917 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16} \log\left(\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + 3075 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{3} - 3 \, {\left(1025 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 131200 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 65600 \, \sqrt{2} - 1943144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} + 196800 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 8265600 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 4132800 \, \sqrt{2} - 75955768\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16} + 10121717 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16} \log\left(-\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + 3075 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{3} - 3 \, {\left(1025 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 131200 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 65600 \, \sqrt{2} - 1943144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} + 196800 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 8265600 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 4132800 \, \sqrt{2} - 75955768\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16} + 10121717 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} + \frac{1}{2} \, \sqrt{2} + 7} \log\left(\frac{1}{8} \, {\left({\left(20406 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 10203 \, \sqrt{2} - 148696\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 5854 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} - 3 \, {\left(3401 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + 380912 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 190456 \, \sqrt{2} - 2723784\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} + 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} {\left({\left(10203 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)} - 5854 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} + 5854 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)} + 155624 \, \sqrt{2}\right)} - 344400 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - 172200 \, \sqrt{2} - 282720\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} + \frac{1}{2} \, \sqrt{2} + 7} + 825917 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} + \frac{1}{2} \, \sqrt{2} + 7} \log\left(-\frac{1}{8} \, {\left({\left(20406 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 10203 \, \sqrt{2} - 148696\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 5854 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} - 3 \, {\left(3401 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + 380912 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 190456 \, \sqrt{2} - 2723784\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} + 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} {\left({\left(10203 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)} - 5854 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} + 5854 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)} + 155624 \, \sqrt{2}\right)} - 344400 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - 172200 \, \sqrt{2} - 282720\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} + \frac{1}{2} \, \sqrt{2} + 7} + 825917 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} + \frac{1}{2} \, \sqrt{2} + 7} \log\left(\frac{1}{8} \, {\left({\left(20406 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 10203 \, \sqrt{2} - 148696\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 5854 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} - 3 \, {\left(3401 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + 380912 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 190456 \, \sqrt{2} - 2723784\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} {\left({\left(10203 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)} - 5854 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} + 5854 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)} + 155624 \, \sqrt{2}\right)} - 344400 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - 172200 \, \sqrt{2} - 282720\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} + \frac{1}{2} \, \sqrt{2} + 7} + 825917 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} + \frac{1}{2} \, \sqrt{2} + 7} \log\left(-\frac{1}{8} \, {\left({\left(20406 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 10203 \, \sqrt{2} - 148696\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 5854 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} - 3 \, {\left(3401 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + 380912 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 190456 \, \sqrt{2} - 2723784\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} {\left({\left(10203 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)} - 5854 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} + 5854 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)} + 155624 \, \sqrt{2}\right)} - 344400 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - 172200 \, \sqrt{2} - 282720\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} + 42\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \sqrt{2} + 14\right)}^{2} - 7 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{7}{2} \, \sqrt{2} - 20} + \frac{1}{2} \, \sqrt{2} + 7} + 825917 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{256} \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{1}{512} \, \sqrt{2} + \frac{7}{256}} \log\left(4 \, {\left(10203 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{3} + 577222 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + 27606816 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 13803408 \, \sqrt{2} - 47309512\right)} \sqrt{-\frac{1}{256} \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{1}{512} \, \sqrt{2} + \frac{7}{256}} + 825917 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{256} \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{1}{512} \, \sqrt{2} + \frac{7}{256}} \log\left(-4 \, {\left(10203 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{3} + 577222 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + \sqrt{2} - 14\right)}^{2} + 27606816 \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} + 13803408 \, \sqrt{2} - 47309512\right)} \sqrt{-\frac{1}{256} \, \sqrt{\frac{1}{2}} \sqrt{85 \, \sqrt{2} - 41} - \frac{1}{512} \, \sqrt{2} + \frac{7}{256}} + 825917 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{256} \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{512} \, \sqrt{2} + \frac{1}{32}} \log\left(4 \, {\left(3075 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{3} + 277214 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 13626864 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 6813432 \, \sqrt{2} - 64497944\right)} \sqrt{-\frac{1}{256} \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{512} \, \sqrt{2} + \frac{1}{32}} + 10121717 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 16 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{256} \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{512} \, \sqrt{2} + \frac{1}{32}} \log\left(-4 \, {\left(3075 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{3} + 277214 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 13626864 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 6813432 \, \sqrt{2} - 64497944\right)} \sqrt{-\frac{1}{256} \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{512} \, \sqrt{2} + \frac{1}{32}} + 10121717 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} + 2} \log\left(\frac{1}{4} \, {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} - 3 \, {\left(1025 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 131200 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 65600 \, \sqrt{2} - 1943144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} - 80414 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 16 \, {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} + 160828 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 80414 \, \sqrt{2} + 1179240\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} - 5361264 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + 2680632 \, \sqrt{2} + 4214512\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} + 2} + 10121717 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} + 2} \log\left(-\frac{1}{4} \, {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} - 3 \, {\left(1025 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 131200 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 65600 \, \sqrt{2} - 1943144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} - 80414 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 16 \, {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} + 160828 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 80414 \, \sqrt{2} + 1179240\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} - 5361264 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + 2680632 \, \sqrt{2} + 4214512\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} + 2} + 10121717 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} + 2} \log\left(\frac{1}{4} \, {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} - 3 \, {\left(1025 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 131200 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 65600 \, \sqrt{2} - 1943144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} - 80414 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - 16 \, {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} + 160828 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 80414 \, \sqrt{2} + 1179240\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} - 5361264 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + 2680632 \, \sqrt{2} + 4214512\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} + 2} + 10121717 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} + 2} \log\left(-\frac{1}{4} \, {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} - 3 \, {\left(1025 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} + 131200 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 65600 \, \sqrt{2} - 1943144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} - 80414 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - 16 \, {\left({\left(6150 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 3075 \, \sqrt{2} - 129614\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} + 160828 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - 80414 \, \sqrt{2} + 1179240\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} - 5361264 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + 2680632 \, \sqrt{2} + 4214512\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{65 \, \sqrt{2} + 47} + \frac{1}{2} \, \sqrt{2} + 3} + 2} + 10121717 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 8 \, {\left(x^{2} - \sqrt{x^{2} + 1} x - 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{16 \, {\left(x^{2} - 1\right)}}"," ",0,"-1/16*(sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)*log(1/4*sqrt(1/2)*(10203*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^3 + (20406*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 10203*sqrt(2) - 148696)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 + 571368*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 - 3*(3401*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 380912*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 190456*sqrt(2) - 2723784)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 27262416*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 13631208*sqrt(2) - 192953624)*sqrt(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 825917*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)*log(-1/4*sqrt(1/2)*(10203*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^3 + (20406*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 10203*sqrt(2) - 148696)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 + 571368*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 - 3*(3401*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 380912*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 190456*sqrt(2) - 2723784)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 27262416*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 13631208*sqrt(2) - 192953624)*sqrt(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 825917*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*log(1/4*sqrt(1/2)*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 3075*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^3 - 3*(1025*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 131200*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 65600*sqrt(2) - 1943144)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) + 196800*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 8265600*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 4132800*sqrt(2) - 75955768)*sqrt(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) + 10121717*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*log(-1/4*sqrt(1/2)*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 3075*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^3 - 3*(1025*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 131200*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 65600*sqrt(2) - 1943144)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) + 196800*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 8265600*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 4132800*sqrt(2) - 75955768)*sqrt(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) + 10121717*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20) + 1/2*sqrt(2) + 7)*log(1/8*((20406*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 10203*sqrt(2) - 148696)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 5854*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 - 3*(3401*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 380912*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 190456*sqrt(2) - 2723784)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20)*((10203*sqrt(2)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14) - 5854*sqrt(2))*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 5854*sqrt(2)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14) + 155624*sqrt(2)) - 344400*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 172200*sqrt(2) - 282720)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20) + 1/2*sqrt(2) + 7) + 825917*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20) + 1/2*sqrt(2) + 7)*log(-1/8*((20406*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 10203*sqrt(2) - 148696)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 5854*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 - 3*(3401*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 380912*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 190456*sqrt(2) - 2723784)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20)*((10203*sqrt(2)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14) - 5854*sqrt(2))*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 5854*sqrt(2)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14) + 155624*sqrt(2)) - 344400*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 172200*sqrt(2) - 282720)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20) + 1/2*sqrt(2) + 7) + 825917*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20) + 1/2*sqrt(2) + 7)*log(1/8*((20406*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 10203*sqrt(2) - 148696)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 5854*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 - 3*(3401*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 380912*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 190456*sqrt(2) - 2723784)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20)*((10203*sqrt(2)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14) - 5854*sqrt(2))*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 5854*sqrt(2)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14) + 155624*sqrt(2)) - 344400*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 172200*sqrt(2) - 282720)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20) + 1/2*sqrt(2) + 7) + 825917*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20) + 1/2*sqrt(2) + 7)*log(-1/8*((20406*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 10203*sqrt(2) - 148696)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 5854*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 - 3*(3401*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 380912*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 190456*sqrt(2) - 2723784)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20)*((10203*sqrt(2)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14) - 5854*sqrt(2))*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) + 5854*sqrt(2)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14) + 155624*sqrt(2)) - 344400*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 172200*sqrt(2) - 282720)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 1/16*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) + 42)*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14) - 3/32*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - sqrt(2) + 14)^2 - 7*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 7/2*sqrt(2) - 20) + 1/2*sqrt(2) + 7) + 825917*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 16*(x^2 - 1)*sqrt(-1/256*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 1/512*sqrt(2) + 7/256)*log(4*(10203*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^3 + 577222*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 27606816*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 13803408*sqrt(2) - 47309512)*sqrt(-1/256*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 1/512*sqrt(2) + 7/256) + 825917*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 16*(x^2 - 1)*sqrt(-1/256*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 1/512*sqrt(2) + 7/256)*log(-4*(10203*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^3 + 577222*(2*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + sqrt(2) - 14)^2 + 27606816*sqrt(1/2)*sqrt(85*sqrt(2) - 41) + 13803408*sqrt(2) - 47309512)*sqrt(-1/256*sqrt(1/2)*sqrt(85*sqrt(2) - 41) - 1/512*sqrt(2) + 7/256) + 825917*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 16*(x^2 - 1)*sqrt(-1/256*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/512*sqrt(2) + 1/32)*log(4*(3075*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^3 + 277214*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 13626864*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 6813432*sqrt(2) - 64497944)*sqrt(-1/256*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/512*sqrt(2) + 1/32) + 10121717*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 16*(x^2 - 1)*sqrt(-1/256*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/512*sqrt(2) + 1/32)*log(-4*(3075*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^3 + 277214*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 13626864*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 6813432*sqrt(2) - 64497944)*sqrt(-1/256*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/512*sqrt(2) + 1/32) + 10121717*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) + 2)*log(1/4*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 - 3*(1025*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 131200*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 65600*sqrt(2) - 1943144)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) - 80414*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 16*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) + 160828*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 80414*sqrt(2) + 1179240)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) - 5361264*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 2680632*sqrt(2) + 4214512)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) + 2) + 10121717*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) + 2)*log(-1/4*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 - 3*(1025*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 131200*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 65600*sqrt(2) - 1943144)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) - 80414*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 16*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) + 160828*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 80414*sqrt(2) + 1179240)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) - 5361264*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 2680632*sqrt(2) + 4214512)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) + 2) + 10121717*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) + 2)*log(1/4*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 - 3*(1025*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 131200*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 65600*sqrt(2) - 1943144)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) - 80414*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - 16*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) + 160828*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 80414*sqrt(2) + 1179240)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) - 5361264*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 2680632*sqrt(2) + 4214512)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) + 2) + 10121717*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) + 2)*log(-1/4*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 - 3*(1025*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 + 131200*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 65600*sqrt(2) - 1943144)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) - 80414*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - 16*((6150*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 3075*sqrt(2) - 129614)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16) + 160828*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - 80414*sqrt(2) + 1179240)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) - 5361264*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 2680632*sqrt(2) + 4214512)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(65*sqrt(2) + 47) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(65*sqrt(2) + 47) + 1/2*sqrt(2) + 3) + 2) + 10121717*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 8*(x^2 - sqrt(x^2 + 1)*x - 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 - 1)","B",0
2959,1,854,0,30.282716," ","integrate((a*x^2+b*x+c)^(5/2)/(b*x+c)^2,x, algorithm=""fricas"")","\left[-\frac{15 \, {\left(b^{8} c - 8 \, a b^{6} c^{2} + 64 \, a^{3} b^{2} c^{4} - 128 \, a^{4} c^{5} + {\left(b^{9} - 8 \, a b^{7} c + 64 \, a^{3} b^{3} c^{3} - 128 \, a^{4} b c^{4}\right)} x\right)} \sqrt{a} \log\left(-8 \, a^{2} x^{2} - 8 \, a b x - 4 \, \sqrt{a x^{2} + b x + c} {\left(2 \, a x + b\right)} \sqrt{a} - b^{2} - 4 \, a c\right) + 960 \, {\left(a^{3} b^{2} c^{4} - 2 \, a^{4} c^{5} + {\left(a^{3} b^{3} c^{3} - 2 \, a^{4} b c^{4}\right)} x\right)} \sqrt{a} \log\left(-\frac{2 \, b^{3} c x + b^{2} c^{2} + 4 \, a c^{3} + {\left(b^{4} - 4 \, a b^{2} c + 8 \, a^{2} c^{2}\right)} x^{2} + 4 \, {\left(b c^{2} + {\left(b^{2} c - 2 \, a c^{2}\right)} x\right)} \sqrt{a x^{2} + b x + c} \sqrt{a}}{b^{2} x^{2} + 2 \, b c x + c^{2}}\right) - 4 \, {\left(48 \, a^{4} b^{5} x^{4} + 15 \, a b^{7} c + 28 \, a^{2} b^{5} c^{2} + 400 \, a^{3} b^{3} c^{3} - 960 \, a^{4} b c^{4} + 8 \, {\left(17 \, a^{3} b^{6} - 10 \, a^{4} b^{4} c\right)} x^{3} + 2 \, {\left(59 \, a^{2} b^{7} - 32 \, a^{3} b^{5} c + 80 \, a^{4} b^{3} c^{2}\right)} x^{2} + {\left(15 \, a b^{8} + 146 \, a^{2} b^{6} c + 200 \, a^{3} b^{4} c^{2} - 480 \, a^{4} b^{2} c^{3}\right)} x\right)} \sqrt{a x^{2} + b x + c}}{768 \, {\left(a^{2} b^{7} x + a^{2} b^{6} c\right)}}, -\frac{960 \, {\left(a^{3} b^{2} c^{4} - 2 \, a^{4} c^{5} + {\left(a^{3} b^{3} c^{3} - 2 \, a^{4} b c^{4}\right)} x\right)} \sqrt{-a} \arctan\left(-\frac{\sqrt{a x^{2} + b x + c} {\left(b c + {\left(b^{2} - 2 \, a c\right)} x\right)} \sqrt{-a}}{2 \, {\left(a^{2} c x^{2} + a b c x + a c^{2}\right)}}\right) - 15 \, {\left(b^{8} c - 8 \, a b^{6} c^{2} + 64 \, a^{3} b^{2} c^{4} - 128 \, a^{4} c^{5} + {\left(b^{9} - 8 \, a b^{7} c + 64 \, a^{3} b^{3} c^{3} - 128 \, a^{4} b c^{4}\right)} x\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{a x^{2} + b x + c} {\left(2 \, a x + b\right)} \sqrt{-a}}{2 \, {\left(a^{2} x^{2} + a b x + a c\right)}}\right) - 2 \, {\left(48 \, a^{4} b^{5} x^{4} + 15 \, a b^{7} c + 28 \, a^{2} b^{5} c^{2} + 400 \, a^{3} b^{3} c^{3} - 960 \, a^{4} b c^{4} + 8 \, {\left(17 \, a^{3} b^{6} - 10 \, a^{4} b^{4} c\right)} x^{3} + 2 \, {\left(59 \, a^{2} b^{7} - 32 \, a^{3} b^{5} c + 80 \, a^{4} b^{3} c^{2}\right)} x^{2} + {\left(15 \, a b^{8} + 146 \, a^{2} b^{6} c + 200 \, a^{3} b^{4} c^{2} - 480 \, a^{4} b^{2} c^{3}\right)} x\right)} \sqrt{a x^{2} + b x + c}}{384 \, {\left(a^{2} b^{7} x + a^{2} b^{6} c\right)}}\right]"," ",0,"[-1/768*(15*(b^8*c - 8*a*b^6*c^2 + 64*a^3*b^2*c^4 - 128*a^4*c^5 + (b^9 - 8*a*b^7*c + 64*a^3*b^3*c^3 - 128*a^4*b*c^4)*x)*sqrt(a)*log(-8*a^2*x^2 - 8*a*b*x - 4*sqrt(a*x^2 + b*x + c)*(2*a*x + b)*sqrt(a) - b^2 - 4*a*c) + 960*(a^3*b^2*c^4 - 2*a^4*c^5 + (a^3*b^3*c^3 - 2*a^4*b*c^4)*x)*sqrt(a)*log(-(2*b^3*c*x + b^2*c^2 + 4*a*c^3 + (b^4 - 4*a*b^2*c + 8*a^2*c^2)*x^2 + 4*(b*c^2 + (b^2*c - 2*a*c^2)*x)*sqrt(a*x^2 + b*x + c)*sqrt(a))/(b^2*x^2 + 2*b*c*x + c^2)) - 4*(48*a^4*b^5*x^4 + 15*a*b^7*c + 28*a^2*b^5*c^2 + 400*a^3*b^3*c^3 - 960*a^4*b*c^4 + 8*(17*a^3*b^6 - 10*a^4*b^4*c)*x^3 + 2*(59*a^2*b^7 - 32*a^3*b^5*c + 80*a^4*b^3*c^2)*x^2 + (15*a*b^8 + 146*a^2*b^6*c + 200*a^3*b^4*c^2 - 480*a^4*b^2*c^3)*x)*sqrt(a*x^2 + b*x + c))/(a^2*b^7*x + a^2*b^6*c), -1/384*(960*(a^3*b^2*c^4 - 2*a^4*c^5 + (a^3*b^3*c^3 - 2*a^4*b*c^4)*x)*sqrt(-a)*arctan(-1/2*sqrt(a*x^2 + b*x + c)*(b*c + (b^2 - 2*a*c)*x)*sqrt(-a)/(a^2*c*x^2 + a*b*c*x + a*c^2)) - 15*(b^8*c - 8*a*b^6*c^2 + 64*a^3*b^2*c^4 - 128*a^4*c^5 + (b^9 - 8*a*b^7*c + 64*a^3*b^3*c^3 - 128*a^4*b*c^4)*x)*sqrt(-a)*arctan(1/2*sqrt(a*x^2 + b*x + c)*(2*a*x + b)*sqrt(-a)/(a^2*x^2 + a*b*x + a*c)) - 2*(48*a^4*b^5*x^4 + 15*a*b^7*c + 28*a^2*b^5*c^2 + 400*a^3*b^3*c^3 - 960*a^4*b*c^4 + 8*(17*a^3*b^6 - 10*a^4*b^4*c)*x^3 + 2*(59*a^2*b^7 - 32*a^3*b^5*c + 80*a^4*b^3*c^2)*x^2 + (15*a*b^8 + 146*a^2*b^6*c + 200*a^3*b^4*c^2 - 480*a^4*b^2*c^3)*x)*sqrt(a*x^2 + b*x + c))/(a^2*b^7*x + a^2*b^6*c)]","A",0
2960,1,553,0,6.347173," ","integrate((x^4+1)^2/(x^4-1)^2/(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{2} {\left(x^{4} - 1\right)} \sqrt{5 \, \sqrt{2} + 7} \arctan\left(\frac{2 \, {\left(6 \, x^{7} + 10 \, x^{3} - \sqrt{2} {\left(5 \, x^{7} + 7 \, x^{3}\right)} - {\left(x^{5} - 2 \, \sqrt{2} {\left(x^{5} + x\right)} + 3 \, x\right)} \sqrt{x^{4} + 1}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{5 \, \sqrt{2} + 7} - {\left(5 \, x^{8} + 10 \, x^{4} - \sqrt{2} {\left(3 \, x^{8} + 4 \, x^{4} + 1\right)} - 2 \, {\left(x^{6} + 3 \, x^{2} - 2 \, \sqrt{2} {\left(x^{6} + x^{2}\right)}\right)} \sqrt{x^{4} + 1} + 1\right)} \sqrt{5 \, \sqrt{2} + 7} \sqrt{\sqrt{2} - 1}}{7 \, x^{8} + 10 \, x^{4} - 1}\right) + \sqrt{2} {\left(x^{4} - 1\right)} \sqrt{5 \, \sqrt{2} - 7} \log\left(\frac{2 \, {\left(\sqrt{2} x^{3} + 2 \, x^{3} + \sqrt{x^{4} + 1} {\left(\sqrt{2} x + x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + {\left(17 \, x^{4} + 2 \, \sqrt{2} {\left(6 \, x^{4} + 1\right)} + 2 \, \sqrt{x^{4} + 1} {\left(5 \, \sqrt{2} x^{2} + 7 \, x^{2}\right)} + 3\right)} \sqrt{5 \, \sqrt{2} - 7}}{x^{4} - 1}\right) - \sqrt{2} {\left(x^{4} - 1\right)} \sqrt{5 \, \sqrt{2} - 7} \log\left(\frac{2 \, {\left(\sqrt{2} x^{3} + 2 \, x^{3} + \sqrt{x^{4} + 1} {\left(\sqrt{2} x + x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} - {\left(17 \, x^{4} + 2 \, \sqrt{2} {\left(6 \, x^{4} + 1\right)} + 2 \, \sqrt{x^{4} + 1} {\left(5 \, \sqrt{2} x^{2} + 7 \, x^{2}\right)} + 3\right)} \sqrt{5 \, \sqrt{2} - 7}}{x^{4} - 1}\right) - 2 \, \sqrt{2} {\left(x^{4} - 1\right)} \log\left(4 \, x^{4} + 4 \, \sqrt{x^{4} + 1} x^{2} + 2 \, {\left(\sqrt{2} x^{3} + \sqrt{2} \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 1\right) + 8 \, {\left(x^{7} - 3 \, x^{3} - {\left(x^{5} - 3 \, x\right)} \sqrt{x^{4} + 1}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{16 \, {\left(x^{4} - 1\right)}}"," ",0,"-1/16*(4*sqrt(2)*(x^4 - 1)*sqrt(5*sqrt(2) + 7)*arctan((2*(6*x^7 + 10*x^3 - sqrt(2)*(5*x^7 + 7*x^3) - (x^5 - 2*sqrt(2)*(x^5 + x) + 3*x)*sqrt(x^4 + 1))*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(5*sqrt(2) + 7) - (5*x^8 + 10*x^4 - sqrt(2)*(3*x^8 + 4*x^4 + 1) - 2*(x^6 + 3*x^2 - 2*sqrt(2)*(x^6 + x^2))*sqrt(x^4 + 1) + 1)*sqrt(5*sqrt(2) + 7)*sqrt(sqrt(2) - 1))/(7*x^8 + 10*x^4 - 1)) + sqrt(2)*(x^4 - 1)*sqrt(5*sqrt(2) - 7)*log((2*(sqrt(2)*x^3 + 2*x^3 + sqrt(x^4 + 1)*(sqrt(2)*x + x))*sqrt(x^2 + sqrt(x^4 + 1)) + (17*x^4 + 2*sqrt(2)*(6*x^4 + 1) + 2*sqrt(x^4 + 1)*(5*sqrt(2)*x^2 + 7*x^2) + 3)*sqrt(5*sqrt(2) - 7))/(x^4 - 1)) - sqrt(2)*(x^4 - 1)*sqrt(5*sqrt(2) - 7)*log((2*(sqrt(2)*x^3 + 2*x^3 + sqrt(x^4 + 1)*(sqrt(2)*x + x))*sqrt(x^2 + sqrt(x^4 + 1)) - (17*x^4 + 2*sqrt(2)*(6*x^4 + 1) + 2*sqrt(x^4 + 1)*(5*sqrt(2)*x^2 + 7*x^2) + 3)*sqrt(5*sqrt(2) - 7))/(x^4 - 1)) - 2*sqrt(2)*(x^4 - 1)*log(4*x^4 + 4*sqrt(x^4 + 1)*x^2 + 2*(sqrt(2)*x^3 + sqrt(2)*sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1) + 8*(x^7 - 3*x^3 - (x^5 - 3*x)*sqrt(x^4 + 1))*sqrt(x^2 + sqrt(x^4 + 1)))/(x^4 - 1)","B",0
2961,-1,0,0,0.000000," ","integrate((a*x+(a*x-b)^(1/2))^(1/2)/(1+(a*x-b)^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2962,1,10609,0,86.853415," ","integrate((a*x^2+b*x)*(a*x^4+b*x^3)^(1/4)/(a*x+x^2-b),x, algorithm=""fricas"")","-2 \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} {\left({\left(a^{19} + 17 \, a^{17} b + 109 \, a^{15} b^{2} + 304 \, a^{13} b^{3} + 230 \, a^{11} b^{4} - 437 \, a^{9} b^{5} - 447 \, a^{7} b^{6} + 492 \, a^{5} b^{7} + 48 \, a^{3} b^{8} - 192 \, a b^{9}\right)} x \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} - {\left(a^{32} + 16 \, a^{30} b + 93 \, a^{28} b^{2} + 202 \, a^{26} b^{3} - 86 \, a^{24} b^{4} - 822 \, a^{22} b^{5} - 91 \, a^{20} b^{6} + 1706 \, a^{18} b^{7} - 342 \, a^{16} b^{8} - 1880 \, a^{14} b^{9} + 1534 \, a^{12} b^{10} + 180 \, a^{10} b^{11} - 1052 \, a^{8} b^{12} + 871 \, a^{6} b^{13} - 393 \, a^{4} b^{14} + 104 \, a^{2} b^{15} - 16 \, b^{16}\right)} x\right)} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} \sqrt{-\frac{\sqrt{2} {\left({\left(a^{29} + 19 \, a^{27} b + 141 \, a^{25} b^{2} + 486 \, a^{23} b^{3} + 591 \, a^{21} b^{4} - 732 \, a^{19} b^{5} - 2032 \, a^{17} b^{6} + 668 \, a^{15} b^{7} + 2667 \, a^{13} b^{8} - 1414 \, a^{11} b^{9} - 1126 \, a^{9} b^{10} + 1272 \, a^{7} b^{11} - 544 \, a^{5} b^{12} + 128 \, a^{3} b^{13}\right)} x^{2} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} - {\left(a^{42} + 18 \, a^{40} b + 123 \, a^{38} b^{2} + 354 \, a^{36} b^{3} + 105 \, a^{34} b^{4} - 1518 \, a^{32} b^{5} - 1668 \, a^{30} b^{6} + 3732 \, a^{28} b^{7} + 4137 \, a^{26} b^{8} - 7674 \, a^{24} b^{9} - 3702 \, a^{22} b^{10} + 11208 \, a^{20} b^{11} - 2600 \, a^{18} b^{12} - 7584 \, a^{16} b^{13} + 7104 \, a^{14} b^{14} - 1064 \, a^{12} b^{15} - 2523 \, a^{10} b^{16} + 2496 \, a^{8} b^{17} - 1256 \, a^{6} b^{18} + 396 \, a^{4} b^{19} - 78 \, a^{2} b^{20} + 8 \, b^{21}\right)} x^{2}\right)} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} - 4 \, {\left(4 \, a^{36} b^{6} + 36 \, a^{34} b^{7} + 69 \, a^{32} b^{8} - 170 \, a^{30} b^{9} - 417 \, a^{28} b^{10} + 666 \, a^{26} b^{11} + 847 \, a^{24} b^{12} - 1950 \, a^{22} b^{13} + 186 \, a^{20} b^{14} + 2248 \, a^{18} b^{15} - 2205 \, a^{16} b^{16} + 306 \, a^{14} b^{17} + 1094 \, a^{12} b^{18} - 1212 \, a^{10} b^{19} + 714 \, a^{8} b^{20} - 276 \, a^{6} b^{21} + 72 \, a^{4} b^{22} - 12 \, a^{2} b^{23} + b^{24}\right)} \sqrt{a x^{4} + b x^{3}}}{x^{2}}} + 2 \, \sqrt{2} {\left(2 \, a^{50} b^{3} + 41 \, a^{48} b^{4} + 327 \, a^{46} b^{5} + 1164 \, a^{44} b^{6} + 927 \, a^{42} b^{7} - 5322 \, a^{40} b^{8} - 10738 \, a^{38} b^{9} + 13334 \, a^{36} b^{10} + 37239 \, a^{34} b^{11} - 34816 \, a^{32} b^{12} - 71140 \, a^{30} b^{13} + 91296 \, a^{28} b^{14} + 55468 \, a^{26} b^{15} - 150974 \, a^{24} b^{16} + 54297 \, a^{22} b^{17} + 91813 \, a^{20} b^{18} - 121826 \, a^{18} b^{19} + 49215 \, a^{16} b^{20} + 24381 \, a^{14} b^{21} - 47547 \, a^{12} b^{22} + 35136 \, a^{10} b^{23} - 16712 \, a^{8} b^{24} + 5581 \, a^{6} b^{25} - 1305 \, a^{4} b^{26} + 200 \, a^{2} b^{27} - 16 \, b^{28} - {\left(2 \, a^{37} b^{3} + 43 \, a^{35} b^{4} + 368 \, a^{33} b^{5} + 1509 \, a^{31} b^{6} + 2400 \, a^{29} b^{7} - 2454 \, a^{27} b^{8} - 11492 \, a^{25} b^{9} + 41 \, a^{23} b^{10} + 25648 \, a^{21} b^{11} - 2762 \, a^{19} b^{12} - 35488 \, a^{17} b^{13} + 19822 \, a^{15} b^{14} + 18568 \, a^{13} b^{15} - 23842 \, a^{11} b^{16} + 6781 \, a^{9} b^{17} + 3225 \, a^{7} b^{18} - 3252 \, a^{5} b^{19} + 1200 \, a^{3} b^{20} - 192 \, a b^{21}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}\right)} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}}}{16 \, {\left(32 \, a^{42} b^{12} + 240 \, a^{40} b^{13} + 144 \, a^{38} b^{14} - 1976 \, a^{36} b^{15} - 918 \, a^{34} b^{16} + 9243 \, a^{32} b^{17} - 3548 \, a^{30} b^{18} - 21351 \, a^{28} b^{19} + 29304 \, a^{26} b^{20} + 3205 \, a^{24} b^{21} - 41550 \, a^{22} b^{22} + 42210 \, a^{20} b^{23} - 10398 \, a^{18} b^{24} - 18783 \, a^{16} b^{25} + 26514 \, a^{14} b^{26} - 19142 \, a^{12} b^{27} + 9384 \, a^{10} b^{28} - 3330 \, a^{8} b^{29} + 860 \, a^{6} b^{30} - 156 \, a^{4} b^{31} + 18 \, a^{2} b^{32} - b^{33}\right)} x}\right) + 2 \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \arctan\left(\frac{{\left({\left(a^{19} + 17 \, a^{17} b + 109 \, a^{15} b^{2} + 304 \, a^{13} b^{3} + 230 \, a^{11} b^{4} - 437 \, a^{9} b^{5} - 447 \, a^{7} b^{6} + 492 \, a^{5} b^{7} + 48 \, a^{3} b^{8} - 192 \, a b^{9}\right)} x \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} + {\left(a^{32} + 16 \, a^{30} b + 93 \, a^{28} b^{2} + 202 \, a^{26} b^{3} - 86 \, a^{24} b^{4} - 822 \, a^{22} b^{5} - 91 \, a^{20} b^{6} + 1706 \, a^{18} b^{7} - 342 \, a^{16} b^{8} - 1880 \, a^{14} b^{9} + 1534 \, a^{12} b^{10} + 180 \, a^{10} b^{11} - 1052 \, a^{8} b^{12} + 871 \, a^{6} b^{13} - 393 \, a^{4} b^{14} + 104 \, a^{2} b^{15} - 16 \, b^{16}\right)} x\right)} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} \sqrt{\frac{\sqrt{2} {\left({\left(a^{29} + 19 \, a^{27} b + 141 \, a^{25} b^{2} + 486 \, a^{23} b^{3} + 591 \, a^{21} b^{4} - 732 \, a^{19} b^{5} - 2032 \, a^{17} b^{6} + 668 \, a^{15} b^{7} + 2667 \, a^{13} b^{8} - 1414 \, a^{11} b^{9} - 1126 \, a^{9} b^{10} + 1272 \, a^{7} b^{11} - 544 \, a^{5} b^{12} + 128 \, a^{3} b^{13}\right)} x^{2} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} + {\left(a^{42} + 18 \, a^{40} b + 123 \, a^{38} b^{2} + 354 \, a^{36} b^{3} + 105 \, a^{34} b^{4} - 1518 \, a^{32} b^{5} - 1668 \, a^{30} b^{6} + 3732 \, a^{28} b^{7} + 4137 \, a^{26} b^{8} - 7674 \, a^{24} b^{9} - 3702 \, a^{22} b^{10} + 11208 \, a^{20} b^{11} - 2600 \, a^{18} b^{12} - 7584 \, a^{16} b^{13} + 7104 \, a^{14} b^{14} - 1064 \, a^{12} b^{15} - 2523 \, a^{10} b^{16} + 2496 \, a^{8} b^{17} - 1256 \, a^{6} b^{18} + 396 \, a^{4} b^{19} - 78 \, a^{2} b^{20} + 8 \, b^{21}\right)} x^{2}\right)} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} + 4 \, {\left(4 \, a^{36} b^{6} + 36 \, a^{34} b^{7} + 69 \, a^{32} b^{8} - 170 \, a^{30} b^{9} - 417 \, a^{28} b^{10} + 666 \, a^{26} b^{11} + 847 \, a^{24} b^{12} - 1950 \, a^{22} b^{13} + 186 \, a^{20} b^{14} + 2248 \, a^{18} b^{15} - 2205 \, a^{16} b^{16} + 306 \, a^{14} b^{17} + 1094 \, a^{12} b^{18} - 1212 \, a^{10} b^{19} + 714 \, a^{8} b^{20} - 276 \, a^{6} b^{21} + 72 \, a^{4} b^{22} - 12 \, a^{2} b^{23} + b^{24}\right)} \sqrt{a x^{4} + b x^{3}}}{x^{2}}} - 2 \, {\left(2 \, a^{50} b^{3} + 41 \, a^{48} b^{4} + 327 \, a^{46} b^{5} + 1164 \, a^{44} b^{6} + 927 \, a^{42} b^{7} - 5322 \, a^{40} b^{8} - 10738 \, a^{38} b^{9} + 13334 \, a^{36} b^{10} + 37239 \, a^{34} b^{11} - 34816 \, a^{32} b^{12} - 71140 \, a^{30} b^{13} + 91296 \, a^{28} b^{14} + 55468 \, a^{26} b^{15} - 150974 \, a^{24} b^{16} + 54297 \, a^{22} b^{17} + 91813 \, a^{20} b^{18} - 121826 \, a^{18} b^{19} + 49215 \, a^{16} b^{20} + 24381 \, a^{14} b^{21} - 47547 \, a^{12} b^{22} + 35136 \, a^{10} b^{23} - 16712 \, a^{8} b^{24} + 5581 \, a^{6} b^{25} - 1305 \, a^{4} b^{26} + 200 \, a^{2} b^{27} - 16 \, b^{28} + {\left(2 \, a^{37} b^{3} + 43 \, a^{35} b^{4} + 368 \, a^{33} b^{5} + 1509 \, a^{31} b^{6} + 2400 \, a^{29} b^{7} - 2454 \, a^{27} b^{8} - 11492 \, a^{25} b^{9} + 41 \, a^{23} b^{10} + 25648 \, a^{21} b^{11} - 2762 \, a^{19} b^{12} - 35488 \, a^{17} b^{13} + 19822 \, a^{15} b^{14} + 18568 \, a^{13} b^{15} - 23842 \, a^{11} b^{16} + 6781 \, a^{9} b^{17} + 3225 \, a^{7} b^{18} - 3252 \, a^{5} b^{19} + 1200 \, a^{3} b^{20} - 192 \, a b^{21}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}}{8 \, {\left(32 \, a^{42} b^{12} + 240 \, a^{40} b^{13} + 144 \, a^{38} b^{14} - 1976 \, a^{36} b^{15} - 918 \, a^{34} b^{16} + 9243 \, a^{32} b^{17} - 3548 \, a^{30} b^{18} - 21351 \, a^{28} b^{19} + 29304 \, a^{26} b^{20} + 3205 \, a^{24} b^{21} - 41550 \, a^{22} b^{22} + 42210 \, a^{20} b^{23} - 10398 \, a^{18} b^{24} - 18783 \, a^{16} b^{25} + 26514 \, a^{14} b^{26} - 19142 \, a^{12} b^{27} + 9384 \, a^{10} b^{28} - 3330 \, a^{8} b^{29} + 860 \, a^{6} b^{30} - 156 \, a^{4} b^{31} + 18 \, a^{2} b^{32} - b^{33}\right)} x}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(\frac{\sqrt{2} {\left({\left(a^{8} + 10 \, a^{6} b + 30 \, a^{4} b^{2} + 16 \, a^{2} b^{3} - 32 \, b^{4}\right)} x \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} - {\left(a^{21} + 9 \, a^{19} b + 21 \, a^{17} b^{2} - 10 \, a^{15} b^{3} - 51 \, a^{13} b^{4} + 30 \, a^{11} b^{5} + 30 \, a^{9} b^{6} - 36 \, a^{7} b^{7} + 15 \, a^{5} b^{8} - 4 \, a^{3} b^{9}\right)} x\right)} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} + 4 \, {\left(2 \, a^{18} b^{3} + 9 \, a^{16} b^{4} - 3 \, a^{14} b^{5} - 29 \, a^{12} b^{6} + 24 \, a^{10} b^{7} + 15 \, a^{8} b^{8} - 30 \, a^{6} b^{9} + 18 \, a^{4} b^{10} - 6 \, a^{2} b^{11} + b^{12}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(-\frac{\sqrt{2} {\left({\left(a^{8} + 10 \, a^{6} b + 30 \, a^{4} b^{2} + 16 \, a^{2} b^{3} - 32 \, b^{4}\right)} x \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} - {\left(a^{21} + 9 \, a^{19} b + 21 \, a^{17} b^{2} - 10 \, a^{15} b^{3} - 51 \, a^{13} b^{4} + 30 \, a^{11} b^{5} + 30 \, a^{9} b^{6} - 36 \, a^{7} b^{7} + 15 \, a^{5} b^{8} - 4 \, a^{3} b^{9}\right)} x\right)} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} - 4 \, {\left(2 \, a^{18} b^{3} + 9 \, a^{16} b^{4} - 3 \, a^{14} b^{5} - 29 \, a^{12} b^{6} + 24 \, a^{10} b^{7} + 15 \, a^{8} b^{8} - 30 \, a^{6} b^{9} + 18 \, a^{4} b^{10} - 6 \, a^{2} b^{11} + b^{12}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(\frac{\sqrt{2} {\left({\left(a^{8} + 10 \, a^{6} b + 30 \, a^{4} b^{2} + 16 \, a^{2} b^{3} - 32 \, b^{4}\right)} x \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} + {\left(a^{21} + 9 \, a^{19} b + 21 \, a^{17} b^{2} - 10 \, a^{15} b^{3} - 51 \, a^{13} b^{4} + 30 \, a^{11} b^{5} + 30 \, a^{9} b^{6} - 36 \, a^{7} b^{7} + 15 \, a^{5} b^{8} - 4 \, a^{3} b^{9}\right)} x\right)} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} + 4 \, {\left(2 \, a^{18} b^{3} + 9 \, a^{16} b^{4} - 3 \, a^{14} b^{5} - 29 \, a^{12} b^{6} + 24 \, a^{10} b^{7} + 15 \, a^{8} b^{8} - 30 \, a^{6} b^{9} + 18 \, a^{4} b^{10} - 6 \, a^{2} b^{11} + b^{12}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(-\frac{\sqrt{2} {\left({\left(a^{8} + 10 \, a^{6} b + 30 \, a^{4} b^{2} + 16 \, a^{2} b^{3} - 32 \, b^{4}\right)} x \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} + {\left(a^{21} + 9 \, a^{19} b + 21 \, a^{17} b^{2} - 10 \, a^{15} b^{3} - 51 \, a^{13} b^{4} + 30 \, a^{11} b^{5} + 30 \, a^{9} b^{6} - 36 \, a^{7} b^{7} + 15 \, a^{5} b^{8} - 4 \, a^{3} b^{9}\right)} x\right)} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} - 4 \, {\left(2 \, a^{18} b^{3} + 9 \, a^{16} b^{4} - 3 \, a^{14} b^{5} - 29 \, a^{12} b^{6} + 24 \, a^{10} b^{7} + 15 \, a^{8} b^{8} - 30 \, a^{6} b^{9} + 18 \, a^{4} b^{10} - 6 \, a^{2} b^{11} + b^{12}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{8} \, {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(8 \, a^{2} - 4 \, a x - 9 \, b\right)} - \frac{1}{8} \, \left(\frac{1048576 \, a^{16} - 1048576 \, a^{14} b + 1048576 \, a^{12} b^{2} - 557056 \, a^{10} b^{3} + 280576 \, a^{8} b^{4} - 87040 \, a^{6} b^{5} + 25600 \, a^{4} b^{6} - 4000 \, a^{2} b^{7} + 625 \, b^{8}}{a^{3}}\right)^{\frac{1}{4}} \arctan\left(\frac{a^{2} x \sqrt{\frac{a^{2} x^{2} \sqrt{\frac{1048576 \, a^{16} - 1048576 \, a^{14} b + 1048576 \, a^{12} b^{2} - 557056 \, a^{10} b^{3} + 280576 \, a^{8} b^{4} - 87040 \, a^{6} b^{5} + 25600 \, a^{4} b^{6} - 4000 \, a^{2} b^{7} + 625 \, b^{8}}{a^{3}}} + {\left(1024 \, a^{8} - 512 \, a^{6} b + 384 \, a^{4} b^{2} - 80 \, a^{2} b^{3} + 25 \, b^{4}\right)} \sqrt{a x^{4} + b x^{3}}}{x^{2}}} \left(\frac{1048576 \, a^{16} - 1048576 \, a^{14} b + 1048576 \, a^{12} b^{2} - 557056 \, a^{10} b^{3} + 280576 \, a^{8} b^{4} - 87040 \, a^{6} b^{5} + 25600 \, a^{4} b^{6} - 4000 \, a^{2} b^{7} + 625 \, b^{8}}{a^{3}}\right)^{\frac{3}{4}} - {\left(32 \, a^{6} - 8 \, a^{4} b + 5 \, a^{2} b^{2}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} \left(\frac{1048576 \, a^{16} - 1048576 \, a^{14} b + 1048576 \, a^{12} b^{2} - 557056 \, a^{10} b^{3} + 280576 \, a^{8} b^{4} - 87040 \, a^{6} b^{5} + 25600 \, a^{4} b^{6} - 4000 \, a^{2} b^{7} + 625 \, b^{8}}{a^{3}}\right)^{\frac{3}{4}}}{{\left(1048576 \, a^{16} - 1048576 \, a^{14} b + 1048576 \, a^{12} b^{2} - 557056 \, a^{10} b^{3} + 280576 \, a^{8} b^{4} - 87040 \, a^{6} b^{5} + 25600 \, a^{4} b^{6} - 4000 \, a^{2} b^{7} + 625 \, b^{8}\right)} x}\right) + \frac{1}{32} \, \left(\frac{1048576 \, a^{16} - 1048576 \, a^{14} b + 1048576 \, a^{12} b^{2} - 557056 \, a^{10} b^{3} + 280576 \, a^{8} b^{4} - 87040 \, a^{6} b^{5} + 25600 \, a^{4} b^{6} - 4000 \, a^{2} b^{7} + 625 \, b^{8}}{a^{3}}\right)^{\frac{1}{4}} \log\left(\frac{a x \left(\frac{1048576 \, a^{16} - 1048576 \, a^{14} b + 1048576 \, a^{12} b^{2} - 557056 \, a^{10} b^{3} + 280576 \, a^{8} b^{4} - 87040 \, a^{6} b^{5} + 25600 \, a^{4} b^{6} - 4000 \, a^{2} b^{7} + 625 \, b^{8}}{a^{3}}\right)^{\frac{1}{4}} + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(32 \, a^{4} - 8 \, a^{2} b + 5 \, b^{2}\right)}}{x}\right) - \frac{1}{32} \, \left(\frac{1048576 \, a^{16} - 1048576 \, a^{14} b + 1048576 \, a^{12} b^{2} - 557056 \, a^{10} b^{3} + 280576 \, a^{8} b^{4} - 87040 \, a^{6} b^{5} + 25600 \, a^{4} b^{6} - 4000 \, a^{2} b^{7} + 625 \, b^{8}}{a^{3}}\right)^{\frac{1}{4}} \log\left(-\frac{a x \left(\frac{1048576 \, a^{16} - 1048576 \, a^{14} b + 1048576 \, a^{12} b^{2} - 557056 \, a^{10} b^{3} + 280576 \, a^{8} b^{4} - 87040 \, a^{6} b^{5} + 25600 \, a^{4} b^{6} - 4000 \, a^{2} b^{7} + 625 \, b^{8}}{a^{3}}\right)^{\frac{1}{4}} - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(32 \, a^{4} - 8 \, a^{2} b + 5 \, b^{2}\right)}}{x}\right)"," ",0,"-2*sqrt(2)*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*arctan(1/16*sqrt(2)*(sqrt(2)*((a^19 + 17*a^17*b + 109*a^15*b^2 + 304*a^13*b^3 + 230*a^11*b^4 - 437*a^9*b^5 - 447*a^7*b^6 + 492*a^5*b^7 + 48*a^3*b^8 - 192*a*b^9)*x*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) - (a^32 + 16*a^30*b + 93*a^28*b^2 + 202*a^26*b^3 - 86*a^24*b^4 - 822*a^22*b^5 - 91*a^20*b^6 + 1706*a^18*b^7 - 342*a^16*b^8 - 1880*a^14*b^9 + 1534*a^12*b^10 + 180*a^10*b^11 - 1052*a^8*b^12 + 871*a^6*b^13 - 393*a^4*b^14 + 104*a^2*b^15 - 16*b^16)*x)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))*sqrt(-(sqrt(2)*((a^29 + 19*a^27*b + 141*a^25*b^2 + 486*a^23*b^3 + 591*a^21*b^4 - 732*a^19*b^5 - 2032*a^17*b^6 + 668*a^15*b^7 + 2667*a^13*b^8 - 1414*a^11*b^9 - 1126*a^9*b^10 + 1272*a^7*b^11 - 544*a^5*b^12 + 128*a^3*b^13)*x^2*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) - (a^42 + 18*a^40*b + 123*a^38*b^2 + 354*a^36*b^3 + 105*a^34*b^4 - 1518*a^32*b^5 - 1668*a^30*b^6 + 3732*a^28*b^7 + 4137*a^26*b^8 - 7674*a^24*b^9 - 3702*a^22*b^10 + 11208*a^20*b^11 - 2600*a^18*b^12 - 7584*a^16*b^13 + 7104*a^14*b^14 - 1064*a^12*b^15 - 2523*a^10*b^16 + 2496*a^8*b^17 - 1256*a^6*b^18 + 396*a^4*b^19 - 78*a^2*b^20 + 8*b^21)*x^2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)) - 4*(4*a^36*b^6 + 36*a^34*b^7 + 69*a^32*b^8 - 170*a^30*b^9 - 417*a^28*b^10 + 666*a^26*b^11 + 847*a^24*b^12 - 1950*a^22*b^13 + 186*a^20*b^14 + 2248*a^18*b^15 - 2205*a^16*b^16 + 306*a^14*b^17 + 1094*a^12*b^18 - 1212*a^10*b^19 + 714*a^8*b^20 - 276*a^6*b^21 + 72*a^4*b^22 - 12*a^2*b^23 + b^24)*sqrt(a*x^4 + b*x^3))/x^2) + 2*sqrt(2)*(2*a^50*b^3 + 41*a^48*b^4 + 327*a^46*b^5 + 1164*a^44*b^6 + 927*a^42*b^7 - 5322*a^40*b^8 - 10738*a^38*b^9 + 13334*a^36*b^10 + 37239*a^34*b^11 - 34816*a^32*b^12 - 71140*a^30*b^13 + 91296*a^28*b^14 + 55468*a^26*b^15 - 150974*a^24*b^16 + 54297*a^22*b^17 + 91813*a^20*b^18 - 121826*a^18*b^19 + 49215*a^16*b^20 + 24381*a^14*b^21 - 47547*a^12*b^22 + 35136*a^10*b^23 - 16712*a^8*b^24 + 5581*a^6*b^25 - 1305*a^4*b^26 + 200*a^2*b^27 - 16*b^28 - (2*a^37*b^3 + 43*a^35*b^4 + 368*a^33*b^5 + 1509*a^31*b^6 + 2400*a^29*b^7 - 2454*a^27*b^8 - 11492*a^25*b^9 + 41*a^23*b^10 + 25648*a^21*b^11 - 2762*a^19*b^12 - 35488*a^17*b^13 + 19822*a^15*b^14 + 18568*a^13*b^15 - 23842*a^11*b^16 + 6781*a^9*b^17 + 3225*a^7*b^18 - 3252*a^5*b^19 + 1200*a^3*b^20 - 192*a*b^21)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))*(a*x^4 + b*x^3)^(1/4)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))/((32*a^42*b^12 + 240*a^40*b^13 + 144*a^38*b^14 - 1976*a^36*b^15 - 918*a^34*b^16 + 9243*a^32*b^17 - 3548*a^30*b^18 - 21351*a^28*b^19 + 29304*a^26*b^20 + 3205*a^24*b^21 - 41550*a^22*b^22 + 42210*a^20*b^23 - 10398*a^18*b^24 - 18783*a^16*b^25 + 26514*a^14*b^26 - 19142*a^12*b^27 + 9384*a^10*b^28 - 3330*a^8*b^29 + 860*a^6*b^30 - 156*a^4*b^31 + 18*a^2*b^32 - b^33)*x)) + 2*sqrt(2)*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*arctan(1/8*(((a^19 + 17*a^17*b + 109*a^15*b^2 + 304*a^13*b^3 + 230*a^11*b^4 - 437*a^9*b^5 - 447*a^7*b^6 + 492*a^5*b^7 + 48*a^3*b^8 - 192*a*b^9)*x*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) + (a^32 + 16*a^30*b + 93*a^28*b^2 + 202*a^26*b^3 - 86*a^24*b^4 - 822*a^22*b^5 - 91*a^20*b^6 + 1706*a^18*b^7 - 342*a^16*b^8 - 1880*a^14*b^9 + 1534*a^12*b^10 + 180*a^10*b^11 - 1052*a^8*b^12 + 871*a^6*b^13 - 393*a^4*b^14 + 104*a^2*b^15 - 16*b^16)*x)*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))*sqrt((sqrt(2)*((a^29 + 19*a^27*b + 141*a^25*b^2 + 486*a^23*b^3 + 591*a^21*b^4 - 732*a^19*b^5 - 2032*a^17*b^6 + 668*a^15*b^7 + 2667*a^13*b^8 - 1414*a^11*b^9 - 1126*a^9*b^10 + 1272*a^7*b^11 - 544*a^5*b^12 + 128*a^3*b^13)*x^2*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) + (a^42 + 18*a^40*b + 123*a^38*b^2 + 354*a^36*b^3 + 105*a^34*b^4 - 1518*a^32*b^5 - 1668*a^30*b^6 + 3732*a^28*b^7 + 4137*a^26*b^8 - 7674*a^24*b^9 - 3702*a^22*b^10 + 11208*a^20*b^11 - 2600*a^18*b^12 - 7584*a^16*b^13 + 7104*a^14*b^14 - 1064*a^12*b^15 - 2523*a^10*b^16 + 2496*a^8*b^17 - 1256*a^6*b^18 + 396*a^4*b^19 - 78*a^2*b^20 + 8*b^21)*x^2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)) + 4*(4*a^36*b^6 + 36*a^34*b^7 + 69*a^32*b^8 - 170*a^30*b^9 - 417*a^28*b^10 + 666*a^26*b^11 + 847*a^24*b^12 - 1950*a^22*b^13 + 186*a^20*b^14 + 2248*a^18*b^15 - 2205*a^16*b^16 + 306*a^14*b^17 + 1094*a^12*b^18 - 1212*a^10*b^19 + 714*a^8*b^20 - 276*a^6*b^21 + 72*a^4*b^22 - 12*a^2*b^23 + b^24)*sqrt(a*x^4 + b*x^3))/x^2) - 2*(2*a^50*b^3 + 41*a^48*b^4 + 327*a^46*b^5 + 1164*a^44*b^6 + 927*a^42*b^7 - 5322*a^40*b^8 - 10738*a^38*b^9 + 13334*a^36*b^10 + 37239*a^34*b^11 - 34816*a^32*b^12 - 71140*a^30*b^13 + 91296*a^28*b^14 + 55468*a^26*b^15 - 150974*a^24*b^16 + 54297*a^22*b^17 + 91813*a^20*b^18 - 121826*a^18*b^19 + 49215*a^16*b^20 + 24381*a^14*b^21 - 47547*a^12*b^22 + 35136*a^10*b^23 - 16712*a^8*b^24 + 5581*a^6*b^25 - 1305*a^4*b^26 + 200*a^2*b^27 - 16*b^28 + (2*a^37*b^3 + 43*a^35*b^4 + 368*a^33*b^5 + 1509*a^31*b^6 + 2400*a^29*b^7 - 2454*a^27*b^8 - 11492*a^25*b^9 + 41*a^23*b^10 + 25648*a^21*b^11 - 2762*a^19*b^12 - 35488*a^17*b^13 + 19822*a^15*b^14 + 18568*a^13*b^15 - 23842*a^11*b^16 + 6781*a^9*b^17 + 3225*a^7*b^18 - 3252*a^5*b^19 + 1200*a^3*b^20 - 192*a*b^21)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))*(a*x^4 + b*x^3)^(1/4)*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))/((32*a^42*b^12 + 240*a^40*b^13 + 144*a^38*b^14 - 1976*a^36*b^15 - 918*a^34*b^16 + 9243*a^32*b^17 - 3548*a^30*b^18 - 21351*a^28*b^19 + 29304*a^26*b^20 + 3205*a^24*b^21 - 41550*a^22*b^22 + 42210*a^20*b^23 - 10398*a^18*b^24 - 18783*a^16*b^25 + 26514*a^14*b^26 - 19142*a^12*b^27 + 9384*a^10*b^28 - 3330*a^8*b^29 + 860*a^6*b^30 - 156*a^4*b^31 + 18*a^2*b^32 - b^33)*x)) + 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*log((sqrt(2)*((a^8 + 10*a^6*b + 30*a^4*b^2 + 16*a^2*b^3 - 32*b^4)*x*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) - (a^21 + 9*a^19*b + 21*a^17*b^2 - 10*a^15*b^3 - 51*a^13*b^4 + 30*a^11*b^5 + 30*a^9*b^6 - 36*a^7*b^7 + 15*a^5*b^8 - 4*a^3*b^9)*x)*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))) + 4*(2*a^18*b^3 + 9*a^16*b^4 - 3*a^14*b^5 - 29*a^12*b^6 + 24*a^10*b^7 + 15*a^8*b^8 - 30*a^6*b^9 + 18*a^4*b^10 - 6*a^2*b^11 + b^12)*(a*x^4 + b*x^3)^(1/4))/x) - 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*log(-(sqrt(2)*((a^8 + 10*a^6*b + 30*a^4*b^2 + 16*a^2*b^3 - 32*b^4)*x*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) - (a^21 + 9*a^19*b + 21*a^17*b^2 - 10*a^15*b^3 - 51*a^13*b^4 + 30*a^11*b^5 + 30*a^9*b^6 - 36*a^7*b^7 + 15*a^5*b^8 - 4*a^3*b^9)*x)*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))) - 4*(2*a^18*b^3 + 9*a^16*b^4 - 3*a^14*b^5 - 29*a^12*b^6 + 24*a^10*b^7 + 15*a^8*b^8 - 30*a^6*b^9 + 18*a^4*b^10 - 6*a^2*b^11 + b^12)*(a*x^4 + b*x^3)^(1/4))/x) - 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*log((sqrt(2)*((a^8 + 10*a^6*b + 30*a^4*b^2 + 16*a^2*b^3 - 32*b^4)*x*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) + (a^21 + 9*a^19*b + 21*a^17*b^2 - 10*a^15*b^3 - 51*a^13*b^4 + 30*a^11*b^5 + 30*a^9*b^6 - 36*a^7*b^7 + 15*a^5*b^8 - 4*a^3*b^9)*x)*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))) + 4*(2*a^18*b^3 + 9*a^16*b^4 - 3*a^14*b^5 - 29*a^12*b^6 + 24*a^10*b^7 + 15*a^8*b^8 - 30*a^6*b^9 + 18*a^4*b^10 - 6*a^2*b^11 + b^12)*(a*x^4 + b*x^3)^(1/4))/x) + 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*log(-(sqrt(2)*((a^8 + 10*a^6*b + 30*a^4*b^2 + 16*a^2*b^3 - 32*b^4)*x*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) + (a^21 + 9*a^19*b + 21*a^17*b^2 - 10*a^15*b^3 - 51*a^13*b^4 + 30*a^11*b^5 + 30*a^9*b^6 - 36*a^7*b^7 + 15*a^5*b^8 - 4*a^3*b^9)*x)*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))) - 4*(2*a^18*b^3 + 9*a^16*b^4 - 3*a^14*b^5 - 29*a^12*b^6 + 24*a^10*b^7 + 15*a^8*b^8 - 30*a^6*b^9 + 18*a^4*b^10 - 6*a^2*b^11 + b^12)*(a*x^4 + b*x^3)^(1/4))/x) - 1/8*(a*x^4 + b*x^3)^(1/4)*(8*a^2 - 4*a*x - 9*b) - 1/8*((1048576*a^16 - 1048576*a^14*b + 1048576*a^12*b^2 - 557056*a^10*b^3 + 280576*a^8*b^4 - 87040*a^6*b^5 + 25600*a^4*b^6 - 4000*a^2*b^7 + 625*b^8)/a^3)^(1/4)*arctan((a^2*x*sqrt((a^2*x^2*sqrt((1048576*a^16 - 1048576*a^14*b + 1048576*a^12*b^2 - 557056*a^10*b^3 + 280576*a^8*b^4 - 87040*a^6*b^5 + 25600*a^4*b^6 - 4000*a^2*b^7 + 625*b^8)/a^3) + (1024*a^8 - 512*a^6*b + 384*a^4*b^2 - 80*a^2*b^3 + 25*b^4)*sqrt(a*x^4 + b*x^3))/x^2)*((1048576*a^16 - 1048576*a^14*b + 1048576*a^12*b^2 - 557056*a^10*b^3 + 280576*a^8*b^4 - 87040*a^6*b^5 + 25600*a^4*b^6 - 4000*a^2*b^7 + 625*b^8)/a^3)^(3/4) - (32*a^6 - 8*a^4*b + 5*a^2*b^2)*(a*x^4 + b*x^3)^(1/4)*((1048576*a^16 - 1048576*a^14*b + 1048576*a^12*b^2 - 557056*a^10*b^3 + 280576*a^8*b^4 - 87040*a^6*b^5 + 25600*a^4*b^6 - 4000*a^2*b^7 + 625*b^8)/a^3)^(3/4))/((1048576*a^16 - 1048576*a^14*b + 1048576*a^12*b^2 - 557056*a^10*b^3 + 280576*a^8*b^4 - 87040*a^6*b^5 + 25600*a^4*b^6 - 4000*a^2*b^7 + 625*b^8)*x)) + 1/32*((1048576*a^16 - 1048576*a^14*b + 1048576*a^12*b^2 - 557056*a^10*b^3 + 280576*a^8*b^4 - 87040*a^6*b^5 + 25600*a^4*b^6 - 4000*a^2*b^7 + 625*b^8)/a^3)^(1/4)*log((a*x*((1048576*a^16 - 1048576*a^14*b + 1048576*a^12*b^2 - 557056*a^10*b^3 + 280576*a^8*b^4 - 87040*a^6*b^5 + 25600*a^4*b^6 - 4000*a^2*b^7 + 625*b^8)/a^3)^(1/4) + (a*x^4 + b*x^3)^(1/4)*(32*a^4 - 8*a^2*b + 5*b^2))/x) - 1/32*((1048576*a^16 - 1048576*a^14*b + 1048576*a^12*b^2 - 557056*a^10*b^3 + 280576*a^8*b^4 - 87040*a^6*b^5 + 25600*a^4*b^6 - 4000*a^2*b^7 + 625*b^8)/a^3)^(1/4)*log(-(a*x*((1048576*a^16 - 1048576*a^14*b + 1048576*a^12*b^2 - 557056*a^10*b^3 + 280576*a^8*b^4 - 87040*a^6*b^5 + 25600*a^4*b^6 - 4000*a^2*b^7 + 625*b^8)/a^3)^(1/4) - (a*x^4 + b*x^3)^(1/4)*(32*a^4 - 8*a^2*b + 5*b^2))/x)","B",0
2963,1,10609,0,88.673455," ","integrate((a*x^2+b*x)*(a*x^4+b*x^3)^(1/4)/(a*x+x^2-b),x, algorithm=""fricas"")","-2 \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} {\left({\left(a^{19} + 17 \, a^{17} b + 109 \, a^{15} b^{2} + 304 \, a^{13} b^{3} + 230 \, a^{11} b^{4} - 437 \, a^{9} b^{5} - 447 \, a^{7} b^{6} + 492 \, a^{5} b^{7} + 48 \, a^{3} b^{8} - 192 \, a b^{9}\right)} x \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} - {\left(a^{32} + 16 \, a^{30} b + 93 \, a^{28} b^{2} + 202 \, a^{26} b^{3} - 86 \, a^{24} b^{4} - 822 \, a^{22} b^{5} - 91 \, a^{20} b^{6} + 1706 \, a^{18} b^{7} - 342 \, a^{16} b^{8} - 1880 \, a^{14} b^{9} + 1534 \, a^{12} b^{10} + 180 \, a^{10} b^{11} - 1052 \, a^{8} b^{12} + 871 \, a^{6} b^{13} - 393 \, a^{4} b^{14} + 104 \, a^{2} b^{15} - 16 \, b^{16}\right)} x\right)} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} \sqrt{-\frac{\sqrt{2} {\left({\left(a^{29} + 19 \, a^{27} b + 141 \, a^{25} b^{2} + 486 \, a^{23} b^{3} + 591 \, a^{21} b^{4} - 732 \, a^{19} b^{5} - 2032 \, a^{17} b^{6} + 668 \, a^{15} b^{7} + 2667 \, a^{13} b^{8} - 1414 \, a^{11} b^{9} - 1126 \, a^{9} b^{10} + 1272 \, a^{7} b^{11} - 544 \, a^{5} b^{12} + 128 \, a^{3} b^{13}\right)} x^{2} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} - {\left(a^{42} + 18 \, a^{40} b + 123 \, a^{38} b^{2} + 354 \, a^{36} b^{3} + 105 \, a^{34} b^{4} - 1518 \, a^{32} b^{5} - 1668 \, a^{30} b^{6} + 3732 \, a^{28} b^{7} + 4137 \, a^{26} b^{8} - 7674 \, a^{24} b^{9} - 3702 \, a^{22} b^{10} + 11208 \, a^{20} b^{11} - 2600 \, a^{18} b^{12} - 7584 \, a^{16} b^{13} + 7104 \, a^{14} b^{14} - 1064 \, a^{12} b^{15} - 2523 \, a^{10} b^{16} + 2496 \, a^{8} b^{17} - 1256 \, a^{6} b^{18} + 396 \, a^{4} b^{19} - 78 \, a^{2} b^{20} + 8 \, b^{21}\right)} x^{2}\right)} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} - 4 \, {\left(4 \, a^{36} b^{6} + 36 \, a^{34} b^{7} + 69 \, a^{32} b^{8} - 170 \, a^{30} b^{9} - 417 \, a^{28} b^{10} + 666 \, a^{26} b^{11} + 847 \, a^{24} b^{12} - 1950 \, a^{22} b^{13} + 186 \, a^{20} b^{14} + 2248 \, a^{18} b^{15} - 2205 \, a^{16} b^{16} + 306 \, a^{14} b^{17} + 1094 \, a^{12} b^{18} - 1212 \, a^{10} b^{19} + 714 \, a^{8} b^{20} - 276 \, a^{6} b^{21} + 72 \, a^{4} b^{22} - 12 \, a^{2} b^{23} + b^{24}\right)} \sqrt{a x^{4} + b x^{3}}}{x^{2}}} + 2 \, \sqrt{2} {\left(2 \, a^{50} b^{3} + 41 \, a^{48} b^{4} + 327 \, a^{46} b^{5} + 1164 \, a^{44} b^{6} + 927 \, a^{42} b^{7} - 5322 \, a^{40} b^{8} - 10738 \, a^{38} b^{9} + 13334 \, a^{36} b^{10} + 37239 \, a^{34} b^{11} - 34816 \, a^{32} b^{12} - 71140 \, a^{30} b^{13} + 91296 \, a^{28} b^{14} + 55468 \, a^{26} b^{15} - 150974 \, a^{24} b^{16} + 54297 \, a^{22} b^{17} + 91813 \, a^{20} b^{18} - 121826 \, a^{18} b^{19} + 49215 \, a^{16} b^{20} + 24381 \, a^{14} b^{21} - 47547 \, a^{12} b^{22} + 35136 \, a^{10} b^{23} - 16712 \, a^{8} b^{24} + 5581 \, a^{6} b^{25} - 1305 \, a^{4} b^{26} + 200 \, a^{2} b^{27} - 16 \, b^{28} - {\left(2 \, a^{37} b^{3} + 43 \, a^{35} b^{4} + 368 \, a^{33} b^{5} + 1509 \, a^{31} b^{6} + 2400 \, a^{29} b^{7} - 2454 \, a^{27} b^{8} - 11492 \, a^{25} b^{9} + 41 \, a^{23} b^{10} + 25648 \, a^{21} b^{11} - 2762 \, a^{19} b^{12} - 35488 \, a^{17} b^{13} + 19822 \, a^{15} b^{14} + 18568 \, a^{13} b^{15} - 23842 \, a^{11} b^{16} + 6781 \, a^{9} b^{17} + 3225 \, a^{7} b^{18} - 3252 \, a^{5} b^{19} + 1200 \, a^{3} b^{20} - 192 \, a b^{21}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}\right)} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}}}{16 \, {\left(32 \, a^{42} b^{12} + 240 \, a^{40} b^{13} + 144 \, a^{38} b^{14} - 1976 \, a^{36} b^{15} - 918 \, a^{34} b^{16} + 9243 \, a^{32} b^{17} - 3548 \, a^{30} b^{18} - 21351 \, a^{28} b^{19} + 29304 \, a^{26} b^{20} + 3205 \, a^{24} b^{21} - 41550 \, a^{22} b^{22} + 42210 \, a^{20} b^{23} - 10398 \, a^{18} b^{24} - 18783 \, a^{16} b^{25} + 26514 \, a^{14} b^{26} - 19142 \, a^{12} b^{27} + 9384 \, a^{10} b^{28} - 3330 \, a^{8} b^{29} + 860 \, a^{6} b^{30} - 156 \, a^{4} b^{31} + 18 \, a^{2} b^{32} - b^{33}\right)} x}\right) + 2 \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \arctan\left(\frac{{\left({\left(a^{19} + 17 \, a^{17} b + 109 \, a^{15} b^{2} + 304 \, a^{13} b^{3} + 230 \, a^{11} b^{4} - 437 \, a^{9} b^{5} - 447 \, a^{7} b^{6} + 492 \, a^{5} b^{7} + 48 \, a^{3} b^{8} - 192 \, a b^{9}\right)} x \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} + {\left(a^{32} + 16 \, a^{30} b + 93 \, a^{28} b^{2} + 202 \, a^{26} b^{3} - 86 \, a^{24} b^{4} - 822 \, a^{22} b^{5} - 91 \, a^{20} b^{6} + 1706 \, a^{18} b^{7} - 342 \, a^{16} b^{8} - 1880 \, a^{14} b^{9} + 1534 \, a^{12} b^{10} + 180 \, a^{10} b^{11} - 1052 \, a^{8} b^{12} + 871 \, a^{6} b^{13} - 393 \, a^{4} b^{14} + 104 \, a^{2} b^{15} - 16 \, b^{16}\right)} x\right)} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} \sqrt{\frac{\sqrt{2} {\left({\left(a^{29} + 19 \, a^{27} b + 141 \, a^{25} b^{2} + 486 \, a^{23} b^{3} + 591 \, a^{21} b^{4} - 732 \, a^{19} b^{5} - 2032 \, a^{17} b^{6} + 668 \, a^{15} b^{7} + 2667 \, a^{13} b^{8} - 1414 \, a^{11} b^{9} - 1126 \, a^{9} b^{10} + 1272 \, a^{7} b^{11} - 544 \, a^{5} b^{12} + 128 \, a^{3} b^{13}\right)} x^{2} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} + {\left(a^{42} + 18 \, a^{40} b + 123 \, a^{38} b^{2} + 354 \, a^{36} b^{3} + 105 \, a^{34} b^{4} - 1518 \, a^{32} b^{5} - 1668 \, a^{30} b^{6} + 3732 \, a^{28} b^{7} + 4137 \, a^{26} b^{8} - 7674 \, a^{24} b^{9} - 3702 \, a^{22} b^{10} + 11208 \, a^{20} b^{11} - 2600 \, a^{18} b^{12} - 7584 \, a^{16} b^{13} + 7104 \, a^{14} b^{14} - 1064 \, a^{12} b^{15} - 2523 \, a^{10} b^{16} + 2496 \, a^{8} b^{17} - 1256 \, a^{6} b^{18} + 396 \, a^{4} b^{19} - 78 \, a^{2} b^{20} + 8 \, b^{21}\right)} x^{2}\right)} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}} + 4 \, {\left(4 \, a^{36} b^{6} + 36 \, a^{34} b^{7} + 69 \, a^{32} b^{8} - 170 \, a^{30} b^{9} - 417 \, a^{28} b^{10} + 666 \, a^{26} b^{11} + 847 \, a^{24} b^{12} - 1950 \, a^{22} b^{13} + 186 \, a^{20} b^{14} + 2248 \, a^{18} b^{15} - 2205 \, a^{16} b^{16} + 306 \, a^{14} b^{17} + 1094 \, a^{12} b^{18} - 1212 \, a^{10} b^{19} + 714 \, a^{8} b^{20} - 276 \, a^{6} b^{21} + 72 \, a^{4} b^{22} - 12 \, a^{2} b^{23} + b^{24}\right)} \sqrt{a x^{4} + b x^{3}}}{x^{2}}} - 2 \, {\left(2 \, a^{50} b^{3} + 41 \, a^{48} b^{4} + 327 \, a^{46} b^{5} + 1164 \, a^{44} b^{6} + 927 \, a^{42} b^{7} - 5322 \, a^{40} b^{8} - 10738 \, a^{38} b^{9} + 13334 \, a^{36} b^{10} + 37239 \, a^{34} b^{11} - 34816 \, a^{32} b^{12} - 71140 \, a^{30} b^{13} + 91296 \, a^{28} b^{14} + 55468 \, a^{26} b^{15} - 150974 \, a^{24} b^{16} + 54297 \, a^{22} b^{17} + 91813 \, a^{20} b^{18} - 121826 \, a^{18} b^{19} + 49215 \, a^{16} b^{20} + 24381 \, a^{14} b^{21} - 47547 \, a^{12} b^{22} + 35136 \, a^{10} b^{23} - 16712 \, a^{8} b^{24} + 5581 \, a^{6} b^{25} - 1305 \, a^{4} b^{26} + 200 \, a^{2} b^{27} - 16 \, b^{28} + {\left(2 \, a^{37} b^{3} + 43 \, a^{35} b^{4} + 368 \, a^{33} b^{5} + 1509 \, a^{31} b^{6} + 2400 \, a^{29} b^{7} - 2454 \, a^{27} b^{8} - 11492 \, a^{25} b^{9} + 41 \, a^{23} b^{10} + 25648 \, a^{21} b^{11} - 2762 \, a^{19} b^{12} - 35488 \, a^{17} b^{13} + 19822 \, a^{15} b^{14} + 18568 \, a^{13} b^{15} - 23842 \, a^{11} b^{16} + 6781 \, a^{9} b^{17} + 3225 \, a^{7} b^{18} - 3252 \, a^{5} b^{19} + 1200 \, a^{3} b^{20} - 192 \, a b^{21}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}}{8 \, {\left(32 \, a^{42} b^{12} + 240 \, a^{40} b^{13} + 144 \, a^{38} b^{14} - 1976 \, a^{36} b^{15} - 918 \, a^{34} b^{16} + 9243 \, a^{32} b^{17} - 3548 \, a^{30} b^{18} - 21351 \, a^{28} b^{19} + 29304 \, a^{26} b^{20} + 3205 \, a^{24} b^{21} - 41550 \, a^{22} b^{22} + 42210 \, a^{20} b^{23} - 10398 \, a^{18} b^{24} - 18783 \, a^{16} b^{25} + 26514 \, a^{14} b^{26} - 19142 \, a^{12} b^{27} + 9384 \, a^{10} b^{28} - 3330 \, a^{8} b^{29} + 860 \, a^{6} b^{30} - 156 \, a^{4} b^{31} + 18 \, a^{2} b^{32} - b^{33}\right)} x}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(\frac{\sqrt{2} {\left({\left(a^{8} + 10 \, a^{6} b + 30 \, a^{4} b^{2} + 16 \, a^{2} b^{3} - 32 \, b^{4}\right)} x \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} - {\left(a^{21} + 9 \, a^{19} b + 21 \, a^{17} b^{2} - 10 \, a^{15} b^{3} - 51 \, a^{13} b^{4} + 30 \, a^{11} b^{5} + 30 \, a^{9} b^{6} - 36 \, a^{7} b^{7} + 15 \, a^{5} b^{8} - 4 \, a^{3} b^{9}\right)} x\right)} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} + 4 \, {\left(2 \, a^{18} b^{3} + 9 \, a^{16} b^{4} - 3 \, a^{14} b^{5} - 29 \, a^{12} b^{6} + 24 \, a^{10} b^{7} + 15 \, a^{8} b^{8} - 30 \, a^{6} b^{9} + 18 \, a^{4} b^{10} - 6 \, a^{2} b^{11} + b^{12}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(-\frac{\sqrt{2} {\left({\left(a^{8} + 10 \, a^{6} b + 30 \, a^{4} b^{2} + 16 \, a^{2} b^{3} - 32 \, b^{4}\right)} x \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} - {\left(a^{21} + 9 \, a^{19} b + 21 \, a^{17} b^{2} - 10 \, a^{15} b^{3} - 51 \, a^{13} b^{4} + 30 \, a^{11} b^{5} + 30 \, a^{9} b^{6} - 36 \, a^{7} b^{7} + 15 \, a^{5} b^{8} - 4 \, a^{3} b^{9}\right)} x\right)} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} + {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} - 4 \, {\left(2 \, a^{18} b^{3} + 9 \, a^{16} b^{4} - 3 \, a^{14} b^{5} - 29 \, a^{12} b^{6} + 24 \, a^{10} b^{7} + 15 \, a^{8} b^{8} - 30 \, a^{6} b^{9} + 18 \, a^{4} b^{10} - 6 \, a^{2} b^{11} + b^{12}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(\frac{\sqrt{2} {\left({\left(a^{8} + 10 \, a^{6} b + 30 \, a^{4} b^{2} + 16 \, a^{2} b^{3} - 32 \, b^{4}\right)} x \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} + {\left(a^{21} + 9 \, a^{19} b + 21 \, a^{17} b^{2} - 10 \, a^{15} b^{3} - 51 \, a^{13} b^{4} + 30 \, a^{11} b^{5} + 30 \, a^{9} b^{6} - 36 \, a^{7} b^{7} + 15 \, a^{5} b^{8} - 4 \, a^{3} b^{9}\right)} x\right)} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} + 4 \, {\left(2 \, a^{18} b^{3} + 9 \, a^{16} b^{4} - 3 \, a^{14} b^{5} - 29 \, a^{12} b^{6} + 24 \, a^{10} b^{7} + 15 \, a^{8} b^{8} - 30 \, a^{6} b^{9} + 18 \, a^{4} b^{10} - 6 \, a^{2} b^{11} + b^{12}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} \log\left(-\frac{\sqrt{2} {\left({\left(a^{8} + 10 \, a^{6} b + 30 \, a^{4} b^{2} + 16 \, a^{2} b^{3} - 32 \, b^{4}\right)} x \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}} + {\left(a^{21} + 9 \, a^{19} b + 21 \, a^{17} b^{2} - 10 \, a^{15} b^{3} - 51 \, a^{13} b^{4} + 30 \, a^{11} b^{5} + 30 \, a^{9} b^{6} - 36 \, a^{7} b^{7} + 15 \, a^{5} b^{8} - 4 \, a^{3} b^{9}\right)} x\right)} \sqrt{\sqrt{2} \sqrt{\frac{a^{17} + 7 \, a^{15} b + 9 \, a^{13} b^{2} - 18 \, a^{11} b^{3} - 15 \, a^{9} b^{4} + 30 \, a^{7} b^{5} - 10 \, a^{5} b^{6} - 4 \, a^{3} b^{7} + 3 \, a b^{8} - {\left(a^{4} + 8 \, a^{2} b + 16 \, b^{2}\right)} \sqrt{\frac{a^{32} + 10 \, a^{30} b + 27 \, a^{28} b^{2} - 18 \, a^{26} b^{3} - 129 \, a^{24} b^{4} + 42 \, a^{22} b^{5} + 286 \, a^{20} b^{6} - 212 \, a^{18} b^{7} - 237 \, a^{16} b^{8} + 378 \, a^{14} b^{9} - 114 \, a^{12} b^{10} - 132 \, a^{10} b^{11} + 170 \, a^{8} b^{12} - 100 \, a^{6} b^{13} + 36 \, a^{4} b^{14} - 8 \, a^{2} b^{15} + b^{16}}{a^{6} + 12 \, a^{4} b + 48 \, a^{2} b^{2} + 64 \, b^{3}}}}{a^{4} + 8 \, a^{2} b + 16 \, b^{2}}}} - 4 \, {\left(2 \, a^{18} b^{3} + 9 \, a^{16} b^{4} - 3 \, a^{14} b^{5} - 29 \, a^{12} b^{6} + 24 \, a^{10} b^{7} + 15 \, a^{8} b^{8} - 30 \, a^{6} b^{9} + 18 \, a^{4} b^{10} - 6 \, a^{2} b^{11} + b^{12}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{8} \, {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(8 \, a^{2} - 4 \, a x - 9 \, b\right)} - \frac{1}{8} \, \left(\frac{1048576 \, a^{16} - 1048576 \, a^{14} b + 1048576 \, a^{12} b^{2} - 557056 \, a^{10} b^{3} + 280576 \, a^{8} b^{4} - 87040 \, a^{6} b^{5} + 25600 \, a^{4} b^{6} - 4000 \, a^{2} b^{7} + 625 \, b^{8}}{a^{3}}\right)^{\frac{1}{4}} \arctan\left(\frac{a^{2} x \sqrt{\frac{a^{2} x^{2} \sqrt{\frac{1048576 \, a^{16} - 1048576 \, a^{14} b + 1048576 \, a^{12} b^{2} - 557056 \, a^{10} b^{3} + 280576 \, a^{8} b^{4} - 87040 \, a^{6} b^{5} + 25600 \, a^{4} b^{6} - 4000 \, a^{2} b^{7} + 625 \, b^{8}}{a^{3}}} + {\left(1024 \, a^{8} - 512 \, a^{6} b + 384 \, a^{4} b^{2} - 80 \, a^{2} b^{3} + 25 \, b^{4}\right)} \sqrt{a x^{4} + b x^{3}}}{x^{2}}} \left(\frac{1048576 \, a^{16} - 1048576 \, a^{14} b + 1048576 \, a^{12} b^{2} - 557056 \, a^{10} b^{3} + 280576 \, a^{8} b^{4} - 87040 \, a^{6} b^{5} + 25600 \, a^{4} b^{6} - 4000 \, a^{2} b^{7} + 625 \, b^{8}}{a^{3}}\right)^{\frac{3}{4}} - {\left(32 \, a^{6} - 8 \, a^{4} b + 5 \, a^{2} b^{2}\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} \left(\frac{1048576 \, a^{16} - 1048576 \, a^{14} b + 1048576 \, a^{12} b^{2} - 557056 \, a^{10} b^{3} + 280576 \, a^{8} b^{4} - 87040 \, a^{6} b^{5} + 25600 \, a^{4} b^{6} - 4000 \, a^{2} b^{7} + 625 \, b^{8}}{a^{3}}\right)^{\frac{3}{4}}}{{\left(1048576 \, a^{16} - 1048576 \, a^{14} b + 1048576 \, a^{12} b^{2} - 557056 \, a^{10} b^{3} + 280576 \, a^{8} b^{4} - 87040 \, a^{6} b^{5} + 25600 \, a^{4} b^{6} - 4000 \, a^{2} b^{7} + 625 \, b^{8}\right)} x}\right) + \frac{1}{32} \, \left(\frac{1048576 \, a^{16} - 1048576 \, a^{14} b + 1048576 \, a^{12} b^{2} - 557056 \, a^{10} b^{3} + 280576 \, a^{8} b^{4} - 87040 \, a^{6} b^{5} + 25600 \, a^{4} b^{6} - 4000 \, a^{2} b^{7} + 625 \, b^{8}}{a^{3}}\right)^{\frac{1}{4}} \log\left(\frac{a x \left(\frac{1048576 \, a^{16} - 1048576 \, a^{14} b + 1048576 \, a^{12} b^{2} - 557056 \, a^{10} b^{3} + 280576 \, a^{8} b^{4} - 87040 \, a^{6} b^{5} + 25600 \, a^{4} b^{6} - 4000 \, a^{2} b^{7} + 625 \, b^{8}}{a^{3}}\right)^{\frac{1}{4}} + {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(32 \, a^{4} - 8 \, a^{2} b + 5 \, b^{2}\right)}}{x}\right) - \frac{1}{32} \, \left(\frac{1048576 \, a^{16} - 1048576 \, a^{14} b + 1048576 \, a^{12} b^{2} - 557056 \, a^{10} b^{3} + 280576 \, a^{8} b^{4} - 87040 \, a^{6} b^{5} + 25600 \, a^{4} b^{6} - 4000 \, a^{2} b^{7} + 625 \, b^{8}}{a^{3}}\right)^{\frac{1}{4}} \log\left(-\frac{a x \left(\frac{1048576 \, a^{16} - 1048576 \, a^{14} b + 1048576 \, a^{12} b^{2} - 557056 \, a^{10} b^{3} + 280576 \, a^{8} b^{4} - 87040 \, a^{6} b^{5} + 25600 \, a^{4} b^{6} - 4000 \, a^{2} b^{7} + 625 \, b^{8}}{a^{3}}\right)^{\frac{1}{4}} - {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(32 \, a^{4} - 8 \, a^{2} b + 5 \, b^{2}\right)}}{x}\right)"," ",0,"-2*sqrt(2)*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*arctan(1/16*sqrt(2)*(sqrt(2)*((a^19 + 17*a^17*b + 109*a^15*b^2 + 304*a^13*b^3 + 230*a^11*b^4 - 437*a^9*b^5 - 447*a^7*b^6 + 492*a^5*b^7 + 48*a^3*b^8 - 192*a*b^9)*x*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) - (a^32 + 16*a^30*b + 93*a^28*b^2 + 202*a^26*b^3 - 86*a^24*b^4 - 822*a^22*b^5 - 91*a^20*b^6 + 1706*a^18*b^7 - 342*a^16*b^8 - 1880*a^14*b^9 + 1534*a^12*b^10 + 180*a^10*b^11 - 1052*a^8*b^12 + 871*a^6*b^13 - 393*a^4*b^14 + 104*a^2*b^15 - 16*b^16)*x)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))*sqrt(-(sqrt(2)*((a^29 + 19*a^27*b + 141*a^25*b^2 + 486*a^23*b^3 + 591*a^21*b^4 - 732*a^19*b^5 - 2032*a^17*b^6 + 668*a^15*b^7 + 2667*a^13*b^8 - 1414*a^11*b^9 - 1126*a^9*b^10 + 1272*a^7*b^11 - 544*a^5*b^12 + 128*a^3*b^13)*x^2*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) - (a^42 + 18*a^40*b + 123*a^38*b^2 + 354*a^36*b^3 + 105*a^34*b^4 - 1518*a^32*b^5 - 1668*a^30*b^6 + 3732*a^28*b^7 + 4137*a^26*b^8 - 7674*a^24*b^9 - 3702*a^22*b^10 + 11208*a^20*b^11 - 2600*a^18*b^12 - 7584*a^16*b^13 + 7104*a^14*b^14 - 1064*a^12*b^15 - 2523*a^10*b^16 + 2496*a^8*b^17 - 1256*a^6*b^18 + 396*a^4*b^19 - 78*a^2*b^20 + 8*b^21)*x^2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)) - 4*(4*a^36*b^6 + 36*a^34*b^7 + 69*a^32*b^8 - 170*a^30*b^9 - 417*a^28*b^10 + 666*a^26*b^11 + 847*a^24*b^12 - 1950*a^22*b^13 + 186*a^20*b^14 + 2248*a^18*b^15 - 2205*a^16*b^16 + 306*a^14*b^17 + 1094*a^12*b^18 - 1212*a^10*b^19 + 714*a^8*b^20 - 276*a^6*b^21 + 72*a^4*b^22 - 12*a^2*b^23 + b^24)*sqrt(a*x^4 + b*x^3))/x^2) + 2*sqrt(2)*(2*a^50*b^3 + 41*a^48*b^4 + 327*a^46*b^5 + 1164*a^44*b^6 + 927*a^42*b^7 - 5322*a^40*b^8 - 10738*a^38*b^9 + 13334*a^36*b^10 + 37239*a^34*b^11 - 34816*a^32*b^12 - 71140*a^30*b^13 + 91296*a^28*b^14 + 55468*a^26*b^15 - 150974*a^24*b^16 + 54297*a^22*b^17 + 91813*a^20*b^18 - 121826*a^18*b^19 + 49215*a^16*b^20 + 24381*a^14*b^21 - 47547*a^12*b^22 + 35136*a^10*b^23 - 16712*a^8*b^24 + 5581*a^6*b^25 - 1305*a^4*b^26 + 200*a^2*b^27 - 16*b^28 - (2*a^37*b^3 + 43*a^35*b^4 + 368*a^33*b^5 + 1509*a^31*b^6 + 2400*a^29*b^7 - 2454*a^27*b^8 - 11492*a^25*b^9 + 41*a^23*b^10 + 25648*a^21*b^11 - 2762*a^19*b^12 - 35488*a^17*b^13 + 19822*a^15*b^14 + 18568*a^13*b^15 - 23842*a^11*b^16 + 6781*a^9*b^17 + 3225*a^7*b^18 - 3252*a^5*b^19 + 1200*a^3*b^20 - 192*a*b^21)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))*(a*x^4 + b*x^3)^(1/4)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))/((32*a^42*b^12 + 240*a^40*b^13 + 144*a^38*b^14 - 1976*a^36*b^15 - 918*a^34*b^16 + 9243*a^32*b^17 - 3548*a^30*b^18 - 21351*a^28*b^19 + 29304*a^26*b^20 + 3205*a^24*b^21 - 41550*a^22*b^22 + 42210*a^20*b^23 - 10398*a^18*b^24 - 18783*a^16*b^25 + 26514*a^14*b^26 - 19142*a^12*b^27 + 9384*a^10*b^28 - 3330*a^8*b^29 + 860*a^6*b^30 - 156*a^4*b^31 + 18*a^2*b^32 - b^33)*x)) + 2*sqrt(2)*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*arctan(1/8*(((a^19 + 17*a^17*b + 109*a^15*b^2 + 304*a^13*b^3 + 230*a^11*b^4 - 437*a^9*b^5 - 447*a^7*b^6 + 492*a^5*b^7 + 48*a^3*b^8 - 192*a*b^9)*x*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) + (a^32 + 16*a^30*b + 93*a^28*b^2 + 202*a^26*b^3 - 86*a^24*b^4 - 822*a^22*b^5 - 91*a^20*b^6 + 1706*a^18*b^7 - 342*a^16*b^8 - 1880*a^14*b^9 + 1534*a^12*b^10 + 180*a^10*b^11 - 1052*a^8*b^12 + 871*a^6*b^13 - 393*a^4*b^14 + 104*a^2*b^15 - 16*b^16)*x)*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))*sqrt((sqrt(2)*((a^29 + 19*a^27*b + 141*a^25*b^2 + 486*a^23*b^3 + 591*a^21*b^4 - 732*a^19*b^5 - 2032*a^17*b^6 + 668*a^15*b^7 + 2667*a^13*b^8 - 1414*a^11*b^9 - 1126*a^9*b^10 + 1272*a^7*b^11 - 544*a^5*b^12 + 128*a^3*b^13)*x^2*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) + (a^42 + 18*a^40*b + 123*a^38*b^2 + 354*a^36*b^3 + 105*a^34*b^4 - 1518*a^32*b^5 - 1668*a^30*b^6 + 3732*a^28*b^7 + 4137*a^26*b^8 - 7674*a^24*b^9 - 3702*a^22*b^10 + 11208*a^20*b^11 - 2600*a^18*b^12 - 7584*a^16*b^13 + 7104*a^14*b^14 - 1064*a^12*b^15 - 2523*a^10*b^16 + 2496*a^8*b^17 - 1256*a^6*b^18 + 396*a^4*b^19 - 78*a^2*b^20 + 8*b^21)*x^2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)) + 4*(4*a^36*b^6 + 36*a^34*b^7 + 69*a^32*b^8 - 170*a^30*b^9 - 417*a^28*b^10 + 666*a^26*b^11 + 847*a^24*b^12 - 1950*a^22*b^13 + 186*a^20*b^14 + 2248*a^18*b^15 - 2205*a^16*b^16 + 306*a^14*b^17 + 1094*a^12*b^18 - 1212*a^10*b^19 + 714*a^8*b^20 - 276*a^6*b^21 + 72*a^4*b^22 - 12*a^2*b^23 + b^24)*sqrt(a*x^4 + b*x^3))/x^2) - 2*(2*a^50*b^3 + 41*a^48*b^4 + 327*a^46*b^5 + 1164*a^44*b^6 + 927*a^42*b^7 - 5322*a^40*b^8 - 10738*a^38*b^9 + 13334*a^36*b^10 + 37239*a^34*b^11 - 34816*a^32*b^12 - 71140*a^30*b^13 + 91296*a^28*b^14 + 55468*a^26*b^15 - 150974*a^24*b^16 + 54297*a^22*b^17 + 91813*a^20*b^18 - 121826*a^18*b^19 + 49215*a^16*b^20 + 24381*a^14*b^21 - 47547*a^12*b^22 + 35136*a^10*b^23 - 16712*a^8*b^24 + 5581*a^6*b^25 - 1305*a^4*b^26 + 200*a^2*b^27 - 16*b^28 + (2*a^37*b^3 + 43*a^35*b^4 + 368*a^33*b^5 + 1509*a^31*b^6 + 2400*a^29*b^7 - 2454*a^27*b^8 - 11492*a^25*b^9 + 41*a^23*b^10 + 25648*a^21*b^11 - 2762*a^19*b^12 - 35488*a^17*b^13 + 19822*a^15*b^14 + 18568*a^13*b^15 - 23842*a^11*b^16 + 6781*a^9*b^17 + 3225*a^7*b^18 - 3252*a^5*b^19 + 1200*a^3*b^20 - 192*a*b^21)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))*(a*x^4 + b*x^3)^(1/4)*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))/((32*a^42*b^12 + 240*a^40*b^13 + 144*a^38*b^14 - 1976*a^36*b^15 - 918*a^34*b^16 + 9243*a^32*b^17 - 3548*a^30*b^18 - 21351*a^28*b^19 + 29304*a^26*b^20 + 3205*a^24*b^21 - 41550*a^22*b^22 + 42210*a^20*b^23 - 10398*a^18*b^24 - 18783*a^16*b^25 + 26514*a^14*b^26 - 19142*a^12*b^27 + 9384*a^10*b^28 - 3330*a^8*b^29 + 860*a^6*b^30 - 156*a^4*b^31 + 18*a^2*b^32 - b^33)*x)) + 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*log((sqrt(2)*((a^8 + 10*a^6*b + 30*a^4*b^2 + 16*a^2*b^3 - 32*b^4)*x*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) - (a^21 + 9*a^19*b + 21*a^17*b^2 - 10*a^15*b^3 - 51*a^13*b^4 + 30*a^11*b^5 + 30*a^9*b^6 - 36*a^7*b^7 + 15*a^5*b^8 - 4*a^3*b^9)*x)*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))) + 4*(2*a^18*b^3 + 9*a^16*b^4 - 3*a^14*b^5 - 29*a^12*b^6 + 24*a^10*b^7 + 15*a^8*b^8 - 30*a^6*b^9 + 18*a^4*b^10 - 6*a^2*b^11 + b^12)*(a*x^4 + b*x^3)^(1/4))/x) - 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*log(-(sqrt(2)*((a^8 + 10*a^6*b + 30*a^4*b^2 + 16*a^2*b^3 - 32*b^4)*x*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) - (a^21 + 9*a^19*b + 21*a^17*b^2 - 10*a^15*b^3 - 51*a^13*b^4 + 30*a^11*b^5 + 30*a^9*b^6 - 36*a^7*b^7 + 15*a^5*b^8 - 4*a^3*b^9)*x)*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 + (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))) - 4*(2*a^18*b^3 + 9*a^16*b^4 - 3*a^14*b^5 - 29*a^12*b^6 + 24*a^10*b^7 + 15*a^8*b^8 - 30*a^6*b^9 + 18*a^4*b^10 - 6*a^2*b^11 + b^12)*(a*x^4 + b*x^3)^(1/4))/x) - 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*log((sqrt(2)*((a^8 + 10*a^6*b + 30*a^4*b^2 + 16*a^2*b^3 - 32*b^4)*x*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) + (a^21 + 9*a^19*b + 21*a^17*b^2 - 10*a^15*b^3 - 51*a^13*b^4 + 30*a^11*b^5 + 30*a^9*b^6 - 36*a^7*b^7 + 15*a^5*b^8 - 4*a^3*b^9)*x)*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))) + 4*(2*a^18*b^3 + 9*a^16*b^4 - 3*a^14*b^5 - 29*a^12*b^6 + 24*a^10*b^7 + 15*a^8*b^8 - 30*a^6*b^9 + 18*a^4*b^10 - 6*a^2*b^11 + b^12)*(a*x^4 + b*x^3)^(1/4))/x) + 1/2*sqrt(2)*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2)))*log(-(sqrt(2)*((a^8 + 10*a^6*b + 30*a^4*b^2 + 16*a^2*b^3 - 32*b^4)*x*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)) + (a^21 + 9*a^19*b + 21*a^17*b^2 - 10*a^15*b^3 - 51*a^13*b^4 + 30*a^11*b^5 + 30*a^9*b^6 - 36*a^7*b^7 + 15*a^5*b^8 - 4*a^3*b^9)*x)*sqrt(sqrt(2)*sqrt((a^17 + 7*a^15*b + 9*a^13*b^2 - 18*a^11*b^3 - 15*a^9*b^4 + 30*a^7*b^5 - 10*a^5*b^6 - 4*a^3*b^7 + 3*a*b^8 - (a^4 + 8*a^2*b + 16*b^2)*sqrt((a^32 + 10*a^30*b + 27*a^28*b^2 - 18*a^26*b^3 - 129*a^24*b^4 + 42*a^22*b^5 + 286*a^20*b^6 - 212*a^18*b^7 - 237*a^16*b^8 + 378*a^14*b^9 - 114*a^12*b^10 - 132*a^10*b^11 + 170*a^8*b^12 - 100*a^6*b^13 + 36*a^4*b^14 - 8*a^2*b^15 + b^16)/(a^6 + 12*a^4*b + 48*a^2*b^2 + 64*b^3)))/(a^4 + 8*a^2*b + 16*b^2))) - 4*(2*a^18*b^3 + 9*a^16*b^4 - 3*a^14*b^5 - 29*a^12*b^6 + 24*a^10*b^7 + 15*a^8*b^8 - 30*a^6*b^9 + 18*a^4*b^10 - 6*a^2*b^11 + b^12)*(a*x^4 + b*x^3)^(1/4))/x) - 1/8*(a*x^4 + b*x^3)^(1/4)*(8*a^2 - 4*a*x - 9*b) - 1/8*((1048576*a^16 - 1048576*a^14*b + 1048576*a^12*b^2 - 557056*a^10*b^3 + 280576*a^8*b^4 - 87040*a^6*b^5 + 25600*a^4*b^6 - 4000*a^2*b^7 + 625*b^8)/a^3)^(1/4)*arctan((a^2*x*sqrt((a^2*x^2*sqrt((1048576*a^16 - 1048576*a^14*b + 1048576*a^12*b^2 - 557056*a^10*b^3 + 280576*a^8*b^4 - 87040*a^6*b^5 + 25600*a^4*b^6 - 4000*a^2*b^7 + 625*b^8)/a^3) + (1024*a^8 - 512*a^6*b + 384*a^4*b^2 - 80*a^2*b^3 + 25*b^4)*sqrt(a*x^4 + b*x^3))/x^2)*((1048576*a^16 - 1048576*a^14*b + 1048576*a^12*b^2 - 557056*a^10*b^3 + 280576*a^8*b^4 - 87040*a^6*b^5 + 25600*a^4*b^6 - 4000*a^2*b^7 + 625*b^8)/a^3)^(3/4) - (32*a^6 - 8*a^4*b + 5*a^2*b^2)*(a*x^4 + b*x^3)^(1/4)*((1048576*a^16 - 1048576*a^14*b + 1048576*a^12*b^2 - 557056*a^10*b^3 + 280576*a^8*b^4 - 87040*a^6*b^5 + 25600*a^4*b^6 - 4000*a^2*b^7 + 625*b^8)/a^3)^(3/4))/((1048576*a^16 - 1048576*a^14*b + 1048576*a^12*b^2 - 557056*a^10*b^3 + 280576*a^8*b^4 - 87040*a^6*b^5 + 25600*a^4*b^6 - 4000*a^2*b^7 + 625*b^8)*x)) + 1/32*((1048576*a^16 - 1048576*a^14*b + 1048576*a^12*b^2 - 557056*a^10*b^3 + 280576*a^8*b^4 - 87040*a^6*b^5 + 25600*a^4*b^6 - 4000*a^2*b^7 + 625*b^8)/a^3)^(1/4)*log((a*x*((1048576*a^16 - 1048576*a^14*b + 1048576*a^12*b^2 - 557056*a^10*b^3 + 280576*a^8*b^4 - 87040*a^6*b^5 + 25600*a^4*b^6 - 4000*a^2*b^7 + 625*b^8)/a^3)^(1/4) + (a*x^4 + b*x^3)^(1/4)*(32*a^4 - 8*a^2*b + 5*b^2))/x) - 1/32*((1048576*a^16 - 1048576*a^14*b + 1048576*a^12*b^2 - 557056*a^10*b^3 + 280576*a^8*b^4 - 87040*a^6*b^5 + 25600*a^4*b^6 - 4000*a^2*b^7 + 625*b^8)/a^3)^(1/4)*log(-(a*x*((1048576*a^16 - 1048576*a^14*b + 1048576*a^12*b^2 - 557056*a^10*b^3 + 280576*a^8*b^4 - 87040*a^6*b^5 + 25600*a^4*b^6 - 4000*a^2*b^7 + 625*b^8)/a^3)^(1/4) - (a*x^4 + b*x^3)^(1/4)*(32*a^4 - 8*a^2*b + 5*b^2))/x)","B",0
2964,1,1303,0,2.420553," ","integrate((a^10*x^10-b^10)/(a^4*x^4+b^4)^(1/2)/(a^10*x^10+b^10),x, algorithm=""fricas"")","-\frac{\sqrt{2} a b \sqrt{-\frac{5 \, \sqrt{\frac{1}{5}} a^{2} b^{2} \sqrt{\frac{1}{a^{4} b^{4}}} + 1}{a^{2} b^{2}}} \log\left(-\frac{\sqrt{2} {\left(3 \, a^{8} x^{8} + 5 \, a^{6} b^{2} x^{6} + 9 \, a^{4} b^{4} x^{4} + 5 \, a^{2} b^{6} x^{2} + 3 \, b^{8} - 5 \, \sqrt{\frac{1}{5}} {\left(a^{10} b^{2} x^{8} + 3 \, a^{8} b^{4} x^{6} + 3 \, a^{6} b^{6} x^{4} + 3 \, a^{4} b^{8} x^{2} + a^{2} b^{10}\right)} \sqrt{\frac{1}{a^{4} b^{4}}}\right)} \sqrt{-\frac{5 \, \sqrt{\frac{1}{5}} a^{2} b^{2} \sqrt{\frac{1}{a^{4} b^{4}}} + 1}{a^{2} b^{2}}} + 4 \, {\left(3 \, a^{4} x^{5} + a^{2} b^{2} x^{3} + 3 \, b^{4} x - 5 \, \sqrt{\frac{1}{5}} {\left(a^{6} b^{2} x^{5} + a^{4} b^{4} x^{3} + a^{2} b^{6} x\right)} \sqrt{\frac{1}{a^{4} b^{4}}}\right)} \sqrt{a^{4} x^{4} + b^{4}}}{a^{8} x^{8} - a^{6} b^{2} x^{6} + a^{4} b^{4} x^{4} - a^{2} b^{6} x^{2} + b^{8}}\right) - \sqrt{2} a b \sqrt{-\frac{5 \, \sqrt{\frac{1}{5}} a^{2} b^{2} \sqrt{\frac{1}{a^{4} b^{4}}} + 1}{a^{2} b^{2}}} \log\left(\frac{\sqrt{2} {\left(3 \, a^{8} x^{8} + 5 \, a^{6} b^{2} x^{6} + 9 \, a^{4} b^{4} x^{4} + 5 \, a^{2} b^{6} x^{2} + 3 \, b^{8} - 5 \, \sqrt{\frac{1}{5}} {\left(a^{10} b^{2} x^{8} + 3 \, a^{8} b^{4} x^{6} + 3 \, a^{6} b^{6} x^{4} + 3 \, a^{4} b^{8} x^{2} + a^{2} b^{10}\right)} \sqrt{\frac{1}{a^{4} b^{4}}}\right)} \sqrt{-\frac{5 \, \sqrt{\frac{1}{5}} a^{2} b^{2} \sqrt{\frac{1}{a^{4} b^{4}}} + 1}{a^{2} b^{2}}} - 4 \, {\left(3 \, a^{4} x^{5} + a^{2} b^{2} x^{3} + 3 \, b^{4} x - 5 \, \sqrt{\frac{1}{5}} {\left(a^{6} b^{2} x^{5} + a^{4} b^{4} x^{3} + a^{2} b^{6} x\right)} \sqrt{\frac{1}{a^{4} b^{4}}}\right)} \sqrt{a^{4} x^{4} + b^{4}}}{a^{8} x^{8} - a^{6} b^{2} x^{6} + a^{4} b^{4} x^{4} - a^{2} b^{6} x^{2} + b^{8}}\right) + \sqrt{2} a b \sqrt{\frac{5 \, \sqrt{\frac{1}{5}} a^{2} b^{2} \sqrt{\frac{1}{a^{4} b^{4}}} - 1}{a^{2} b^{2}}} \log\left(-\frac{\sqrt{2} {\left(3 \, a^{8} x^{8} + 5 \, a^{6} b^{2} x^{6} + 9 \, a^{4} b^{4} x^{4} + 5 \, a^{2} b^{6} x^{2} + 3 \, b^{8} + 5 \, \sqrt{\frac{1}{5}} {\left(a^{10} b^{2} x^{8} + 3 \, a^{8} b^{4} x^{6} + 3 \, a^{6} b^{6} x^{4} + 3 \, a^{4} b^{8} x^{2} + a^{2} b^{10}\right)} \sqrt{\frac{1}{a^{4} b^{4}}}\right)} \sqrt{\frac{5 \, \sqrt{\frac{1}{5}} a^{2} b^{2} \sqrt{\frac{1}{a^{4} b^{4}}} - 1}{a^{2} b^{2}}} + 4 \, {\left(3 \, a^{4} x^{5} + a^{2} b^{2} x^{3} + 3 \, b^{4} x + 5 \, \sqrt{\frac{1}{5}} {\left(a^{6} b^{2} x^{5} + a^{4} b^{4} x^{3} + a^{2} b^{6} x\right)} \sqrt{\frac{1}{a^{4} b^{4}}}\right)} \sqrt{a^{4} x^{4} + b^{4}}}{a^{8} x^{8} - a^{6} b^{2} x^{6} + a^{4} b^{4} x^{4} - a^{2} b^{6} x^{2} + b^{8}}\right) - \sqrt{2} a b \sqrt{\frac{5 \, \sqrt{\frac{1}{5}} a^{2} b^{2} \sqrt{\frac{1}{a^{4} b^{4}}} - 1}{a^{2} b^{2}}} \log\left(\frac{\sqrt{2} {\left(3 \, a^{8} x^{8} + 5 \, a^{6} b^{2} x^{6} + 9 \, a^{4} b^{4} x^{4} + 5 \, a^{2} b^{6} x^{2} + 3 \, b^{8} + 5 \, \sqrt{\frac{1}{5}} {\left(a^{10} b^{2} x^{8} + 3 \, a^{8} b^{4} x^{6} + 3 \, a^{6} b^{6} x^{4} + 3 \, a^{4} b^{8} x^{2} + a^{2} b^{10}\right)} \sqrt{\frac{1}{a^{4} b^{4}}}\right)} \sqrt{\frac{5 \, \sqrt{\frac{1}{5}} a^{2} b^{2} \sqrt{\frac{1}{a^{4} b^{4}}} - 1}{a^{2} b^{2}}} - 4 \, {\left(3 \, a^{4} x^{5} + a^{2} b^{2} x^{3} + 3 \, b^{4} x + 5 \, \sqrt{\frac{1}{5}} {\left(a^{6} b^{2} x^{5} + a^{4} b^{4} x^{3} + a^{2} b^{6} x\right)} \sqrt{\frac{1}{a^{4} b^{4}}}\right)} \sqrt{a^{4} x^{4} + b^{4}}}{a^{8} x^{8} - a^{6} b^{2} x^{6} + a^{4} b^{4} x^{4} - a^{2} b^{6} x^{2} + b^{8}}\right) + 2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} a b x}{\sqrt{a^{4} x^{4} + b^{4}}}\right)}{20 \, a b}"," ",0,"-1/20*(sqrt(2)*a*b*sqrt(-(5*sqrt(1/5)*a^2*b^2*sqrt(1/(a^4*b^4)) + 1)/(a^2*b^2))*log(-(sqrt(2)*(3*a^8*x^8 + 5*a^6*b^2*x^6 + 9*a^4*b^4*x^4 + 5*a^2*b^6*x^2 + 3*b^8 - 5*sqrt(1/5)*(a^10*b^2*x^8 + 3*a^8*b^4*x^6 + 3*a^6*b^6*x^4 + 3*a^4*b^8*x^2 + a^2*b^10)*sqrt(1/(a^4*b^4)))*sqrt(-(5*sqrt(1/5)*a^2*b^2*sqrt(1/(a^4*b^4)) + 1)/(a^2*b^2)) + 4*(3*a^4*x^5 + a^2*b^2*x^3 + 3*b^4*x - 5*sqrt(1/5)*(a^6*b^2*x^5 + a^4*b^4*x^3 + a^2*b^6*x)*sqrt(1/(a^4*b^4)))*sqrt(a^4*x^4 + b^4))/(a^8*x^8 - a^6*b^2*x^6 + a^4*b^4*x^4 - a^2*b^6*x^2 + b^8)) - sqrt(2)*a*b*sqrt(-(5*sqrt(1/5)*a^2*b^2*sqrt(1/(a^4*b^4)) + 1)/(a^2*b^2))*log((sqrt(2)*(3*a^8*x^8 + 5*a^6*b^2*x^6 + 9*a^4*b^4*x^4 + 5*a^2*b^6*x^2 + 3*b^8 - 5*sqrt(1/5)*(a^10*b^2*x^8 + 3*a^8*b^4*x^6 + 3*a^6*b^6*x^4 + 3*a^4*b^8*x^2 + a^2*b^10)*sqrt(1/(a^4*b^4)))*sqrt(-(5*sqrt(1/5)*a^2*b^2*sqrt(1/(a^4*b^4)) + 1)/(a^2*b^2)) - 4*(3*a^4*x^5 + a^2*b^2*x^3 + 3*b^4*x - 5*sqrt(1/5)*(a^6*b^2*x^5 + a^4*b^4*x^3 + a^2*b^6*x)*sqrt(1/(a^4*b^4)))*sqrt(a^4*x^4 + b^4))/(a^8*x^8 - a^6*b^2*x^6 + a^4*b^4*x^4 - a^2*b^6*x^2 + b^8)) + sqrt(2)*a*b*sqrt((5*sqrt(1/5)*a^2*b^2*sqrt(1/(a^4*b^4)) - 1)/(a^2*b^2))*log(-(sqrt(2)*(3*a^8*x^8 + 5*a^6*b^2*x^6 + 9*a^4*b^4*x^4 + 5*a^2*b^6*x^2 + 3*b^8 + 5*sqrt(1/5)*(a^10*b^2*x^8 + 3*a^8*b^4*x^6 + 3*a^6*b^6*x^4 + 3*a^4*b^8*x^2 + a^2*b^10)*sqrt(1/(a^4*b^4)))*sqrt((5*sqrt(1/5)*a^2*b^2*sqrt(1/(a^4*b^4)) - 1)/(a^2*b^2)) + 4*(3*a^4*x^5 + a^2*b^2*x^3 + 3*b^4*x + 5*sqrt(1/5)*(a^6*b^2*x^5 + a^4*b^4*x^3 + a^2*b^6*x)*sqrt(1/(a^4*b^4)))*sqrt(a^4*x^4 + b^4))/(a^8*x^8 - a^6*b^2*x^6 + a^4*b^4*x^4 - a^2*b^6*x^2 + b^8)) - sqrt(2)*a*b*sqrt((5*sqrt(1/5)*a^2*b^2*sqrt(1/(a^4*b^4)) - 1)/(a^2*b^2))*log((sqrt(2)*(3*a^8*x^8 + 5*a^6*b^2*x^6 + 9*a^4*b^4*x^4 + 5*a^2*b^6*x^2 + 3*b^8 + 5*sqrt(1/5)*(a^10*b^2*x^8 + 3*a^8*b^4*x^6 + 3*a^6*b^6*x^4 + 3*a^4*b^8*x^2 + a^2*b^10)*sqrt(1/(a^4*b^4)))*sqrt((5*sqrt(1/5)*a^2*b^2*sqrt(1/(a^4*b^4)) - 1)/(a^2*b^2)) - 4*(3*a^4*x^5 + a^2*b^2*x^3 + 3*b^4*x + 5*sqrt(1/5)*(a^6*b^2*x^5 + a^4*b^4*x^3 + a^2*b^6*x)*sqrt(1/(a^4*b^4)))*sqrt(a^4*x^4 + b^4))/(a^8*x^8 - a^6*b^2*x^6 + a^4*b^4*x^4 - a^2*b^6*x^2 + b^8)) + 2*sqrt(2)*arctan(sqrt(2)*a*b*x/sqrt(a^4*x^4 + b^4)))/(a*b)","B",0
2965,1,1303,0,2.480720," ","integrate((a^10*x^10-b^10)/(a^4*x^4+b^4)^(1/2)/(a^10*x^10+b^10),x, algorithm=""fricas"")","-\frac{\sqrt{2} a b \sqrt{-\frac{5 \, \sqrt{\frac{1}{5}} a^{2} b^{2} \sqrt{\frac{1}{a^{4} b^{4}}} + 1}{a^{2} b^{2}}} \log\left(-\frac{\sqrt{2} {\left(3 \, a^{8} x^{8} + 5 \, a^{6} b^{2} x^{6} + 9 \, a^{4} b^{4} x^{4} + 5 \, a^{2} b^{6} x^{2} + 3 \, b^{8} - 5 \, \sqrt{\frac{1}{5}} {\left(a^{10} b^{2} x^{8} + 3 \, a^{8} b^{4} x^{6} + 3 \, a^{6} b^{6} x^{4} + 3 \, a^{4} b^{8} x^{2} + a^{2} b^{10}\right)} \sqrt{\frac{1}{a^{4} b^{4}}}\right)} \sqrt{-\frac{5 \, \sqrt{\frac{1}{5}} a^{2} b^{2} \sqrt{\frac{1}{a^{4} b^{4}}} + 1}{a^{2} b^{2}}} + 4 \, {\left(3 \, a^{4} x^{5} + a^{2} b^{2} x^{3} + 3 \, b^{4} x - 5 \, \sqrt{\frac{1}{5}} {\left(a^{6} b^{2} x^{5} + a^{4} b^{4} x^{3} + a^{2} b^{6} x\right)} \sqrt{\frac{1}{a^{4} b^{4}}}\right)} \sqrt{a^{4} x^{4} + b^{4}}}{a^{8} x^{8} - a^{6} b^{2} x^{6} + a^{4} b^{4} x^{4} - a^{2} b^{6} x^{2} + b^{8}}\right) - \sqrt{2} a b \sqrt{-\frac{5 \, \sqrt{\frac{1}{5}} a^{2} b^{2} \sqrt{\frac{1}{a^{4} b^{4}}} + 1}{a^{2} b^{2}}} \log\left(\frac{\sqrt{2} {\left(3 \, a^{8} x^{8} + 5 \, a^{6} b^{2} x^{6} + 9 \, a^{4} b^{4} x^{4} + 5 \, a^{2} b^{6} x^{2} + 3 \, b^{8} - 5 \, \sqrt{\frac{1}{5}} {\left(a^{10} b^{2} x^{8} + 3 \, a^{8} b^{4} x^{6} + 3 \, a^{6} b^{6} x^{4} + 3 \, a^{4} b^{8} x^{2} + a^{2} b^{10}\right)} \sqrt{\frac{1}{a^{4} b^{4}}}\right)} \sqrt{-\frac{5 \, \sqrt{\frac{1}{5}} a^{2} b^{2} \sqrt{\frac{1}{a^{4} b^{4}}} + 1}{a^{2} b^{2}}} - 4 \, {\left(3 \, a^{4} x^{5} + a^{2} b^{2} x^{3} + 3 \, b^{4} x - 5 \, \sqrt{\frac{1}{5}} {\left(a^{6} b^{2} x^{5} + a^{4} b^{4} x^{3} + a^{2} b^{6} x\right)} \sqrt{\frac{1}{a^{4} b^{4}}}\right)} \sqrt{a^{4} x^{4} + b^{4}}}{a^{8} x^{8} - a^{6} b^{2} x^{6} + a^{4} b^{4} x^{4} - a^{2} b^{6} x^{2} + b^{8}}\right) + \sqrt{2} a b \sqrt{\frac{5 \, \sqrt{\frac{1}{5}} a^{2} b^{2} \sqrt{\frac{1}{a^{4} b^{4}}} - 1}{a^{2} b^{2}}} \log\left(-\frac{\sqrt{2} {\left(3 \, a^{8} x^{8} + 5 \, a^{6} b^{2} x^{6} + 9 \, a^{4} b^{4} x^{4} + 5 \, a^{2} b^{6} x^{2} + 3 \, b^{8} + 5 \, \sqrt{\frac{1}{5}} {\left(a^{10} b^{2} x^{8} + 3 \, a^{8} b^{4} x^{6} + 3 \, a^{6} b^{6} x^{4} + 3 \, a^{4} b^{8} x^{2} + a^{2} b^{10}\right)} \sqrt{\frac{1}{a^{4} b^{4}}}\right)} \sqrt{\frac{5 \, \sqrt{\frac{1}{5}} a^{2} b^{2} \sqrt{\frac{1}{a^{4} b^{4}}} - 1}{a^{2} b^{2}}} + 4 \, {\left(3 \, a^{4} x^{5} + a^{2} b^{2} x^{3} + 3 \, b^{4} x + 5 \, \sqrt{\frac{1}{5}} {\left(a^{6} b^{2} x^{5} + a^{4} b^{4} x^{3} + a^{2} b^{6} x\right)} \sqrt{\frac{1}{a^{4} b^{4}}}\right)} \sqrt{a^{4} x^{4} + b^{4}}}{a^{8} x^{8} - a^{6} b^{2} x^{6} + a^{4} b^{4} x^{4} - a^{2} b^{6} x^{2} + b^{8}}\right) - \sqrt{2} a b \sqrt{\frac{5 \, \sqrt{\frac{1}{5}} a^{2} b^{2} \sqrt{\frac{1}{a^{4} b^{4}}} - 1}{a^{2} b^{2}}} \log\left(\frac{\sqrt{2} {\left(3 \, a^{8} x^{8} + 5 \, a^{6} b^{2} x^{6} + 9 \, a^{4} b^{4} x^{4} + 5 \, a^{2} b^{6} x^{2} + 3 \, b^{8} + 5 \, \sqrt{\frac{1}{5}} {\left(a^{10} b^{2} x^{8} + 3 \, a^{8} b^{4} x^{6} + 3 \, a^{6} b^{6} x^{4} + 3 \, a^{4} b^{8} x^{2} + a^{2} b^{10}\right)} \sqrt{\frac{1}{a^{4} b^{4}}}\right)} \sqrt{\frac{5 \, \sqrt{\frac{1}{5}} a^{2} b^{2} \sqrt{\frac{1}{a^{4} b^{4}}} - 1}{a^{2} b^{2}}} - 4 \, {\left(3 \, a^{4} x^{5} + a^{2} b^{2} x^{3} + 3 \, b^{4} x + 5 \, \sqrt{\frac{1}{5}} {\left(a^{6} b^{2} x^{5} + a^{4} b^{4} x^{3} + a^{2} b^{6} x\right)} \sqrt{\frac{1}{a^{4} b^{4}}}\right)} \sqrt{a^{4} x^{4} + b^{4}}}{a^{8} x^{8} - a^{6} b^{2} x^{6} + a^{4} b^{4} x^{4} - a^{2} b^{6} x^{2} + b^{8}}\right) + 2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} a b x}{\sqrt{a^{4} x^{4} + b^{4}}}\right)}{20 \, a b}"," ",0,"-1/20*(sqrt(2)*a*b*sqrt(-(5*sqrt(1/5)*a^2*b^2*sqrt(1/(a^4*b^4)) + 1)/(a^2*b^2))*log(-(sqrt(2)*(3*a^8*x^8 + 5*a^6*b^2*x^6 + 9*a^4*b^4*x^4 + 5*a^2*b^6*x^2 + 3*b^8 - 5*sqrt(1/5)*(a^10*b^2*x^8 + 3*a^8*b^4*x^6 + 3*a^6*b^6*x^4 + 3*a^4*b^8*x^2 + a^2*b^10)*sqrt(1/(a^4*b^4)))*sqrt(-(5*sqrt(1/5)*a^2*b^2*sqrt(1/(a^4*b^4)) + 1)/(a^2*b^2)) + 4*(3*a^4*x^5 + a^2*b^2*x^3 + 3*b^4*x - 5*sqrt(1/5)*(a^6*b^2*x^5 + a^4*b^4*x^3 + a^2*b^6*x)*sqrt(1/(a^4*b^4)))*sqrt(a^4*x^4 + b^4))/(a^8*x^8 - a^6*b^2*x^6 + a^4*b^4*x^4 - a^2*b^6*x^2 + b^8)) - sqrt(2)*a*b*sqrt(-(5*sqrt(1/5)*a^2*b^2*sqrt(1/(a^4*b^4)) + 1)/(a^2*b^2))*log((sqrt(2)*(3*a^8*x^8 + 5*a^6*b^2*x^6 + 9*a^4*b^4*x^4 + 5*a^2*b^6*x^2 + 3*b^8 - 5*sqrt(1/5)*(a^10*b^2*x^8 + 3*a^8*b^4*x^6 + 3*a^6*b^6*x^4 + 3*a^4*b^8*x^2 + a^2*b^10)*sqrt(1/(a^4*b^4)))*sqrt(-(5*sqrt(1/5)*a^2*b^2*sqrt(1/(a^4*b^4)) + 1)/(a^2*b^2)) - 4*(3*a^4*x^5 + a^2*b^2*x^3 + 3*b^4*x - 5*sqrt(1/5)*(a^6*b^2*x^5 + a^4*b^4*x^3 + a^2*b^6*x)*sqrt(1/(a^4*b^4)))*sqrt(a^4*x^4 + b^4))/(a^8*x^8 - a^6*b^2*x^6 + a^4*b^4*x^4 - a^2*b^6*x^2 + b^8)) + sqrt(2)*a*b*sqrt((5*sqrt(1/5)*a^2*b^2*sqrt(1/(a^4*b^4)) - 1)/(a^2*b^2))*log(-(sqrt(2)*(3*a^8*x^8 + 5*a^6*b^2*x^6 + 9*a^4*b^4*x^4 + 5*a^2*b^6*x^2 + 3*b^8 + 5*sqrt(1/5)*(a^10*b^2*x^8 + 3*a^8*b^4*x^6 + 3*a^6*b^6*x^4 + 3*a^4*b^8*x^2 + a^2*b^10)*sqrt(1/(a^4*b^4)))*sqrt((5*sqrt(1/5)*a^2*b^2*sqrt(1/(a^4*b^4)) - 1)/(a^2*b^2)) + 4*(3*a^4*x^5 + a^2*b^2*x^3 + 3*b^4*x + 5*sqrt(1/5)*(a^6*b^2*x^5 + a^4*b^4*x^3 + a^2*b^6*x)*sqrt(1/(a^4*b^4)))*sqrt(a^4*x^4 + b^4))/(a^8*x^8 - a^6*b^2*x^6 + a^4*b^4*x^4 - a^2*b^6*x^2 + b^8)) - sqrt(2)*a*b*sqrt((5*sqrt(1/5)*a^2*b^2*sqrt(1/(a^4*b^4)) - 1)/(a^2*b^2))*log((sqrt(2)*(3*a^8*x^8 + 5*a^6*b^2*x^6 + 9*a^4*b^4*x^4 + 5*a^2*b^6*x^2 + 3*b^8 + 5*sqrt(1/5)*(a^10*b^2*x^8 + 3*a^8*b^4*x^6 + 3*a^6*b^6*x^4 + 3*a^4*b^8*x^2 + a^2*b^10)*sqrt(1/(a^4*b^4)))*sqrt((5*sqrt(1/5)*a^2*b^2*sqrt(1/(a^4*b^4)) - 1)/(a^2*b^2)) - 4*(3*a^4*x^5 + a^2*b^2*x^3 + 3*b^4*x + 5*sqrt(1/5)*(a^6*b^2*x^5 + a^4*b^4*x^3 + a^2*b^6*x)*sqrt(1/(a^4*b^4)))*sqrt(a^4*x^4 + b^4))/(a^8*x^8 - a^6*b^2*x^6 + a^4*b^4*x^4 - a^2*b^6*x^2 + b^8)) + 2*sqrt(2)*arctan(sqrt(2)*a*b*x/sqrt(a^4*x^4 + b^4)))/(a*b)","B",0
2966,-1,0,0,0.000000," ","integrate((a*x^2+b)*(x^3+x)^(1/3)/(c*x^2+d),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2967,1,606,0,1.278115," ","integrate(x^2*(a*x^3+b)*(2*a*p*x^3+3*a*q-b*p)/(p*x^3+q)^(2/3)/(b^3*c+d*q+(3*a*b^2*c+d*p)*x^3+3*a^2*b*c*x^6+a^3*c*x^9),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{\frac{1}{3}} c d \sqrt{\frac{\left(-c^{2} d\right)^{\frac{1}{3}}}{d}} \log\left(\frac{2 \, a^{3} c^{2} x^{9} + 6 \, a^{2} b c^{2} x^{6} + 2 \, b^{3} c^{2} + {\left(6 \, a b^{2} c^{2} - c d p\right)} x^{3} - c d q - 3 \, {\left(a x^{3} + b\right)} {\left(p x^{3} + q\right)}^{\frac{2}{3}} \left(-c^{2} d\right)^{\frac{2}{3}} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(a^{2} x^{6} + 2 \, a b x^{3} + b^{2}\right)} {\left(p x^{3} + q\right)}^{\frac{1}{3}} \left(-c^{2} d\right)^{\frac{2}{3}} + {\left(a c d x^{3} + b c d\right)} {\left(p x^{3} + q\right)}^{\frac{2}{3}} + {\left(d p x^{3} + d q\right)} \left(-c^{2} d\right)^{\frac{1}{3}}\right)} \sqrt{\frac{\left(-c^{2} d\right)^{\frac{1}{3}}}{d}}}{a^{3} c x^{9} + 3 \, a^{2} b c x^{6} + b^{3} c + {\left(3 \, a b^{2} c + d p\right)} x^{3} + d q}\right) + \left(-c^{2} d\right)^{\frac{2}{3}} \log\left(a^{2} c^{2} x^{6} + 2 \, a b c^{2} x^{3} + b^{2} c^{2} + {\left(a c x^{3} + b c\right)} {\left(p x^{3} + q\right)}^{\frac{1}{3}} \left(-c^{2} d\right)^{\frac{1}{3}} + {\left(p x^{3} + q\right)}^{\frac{2}{3}} \left(-c^{2} d\right)^{\frac{2}{3}}\right) - 2 \, \left(-c^{2} d\right)^{\frac{2}{3}} \log\left(a c x^{3} + b c - {\left(p x^{3} + q\right)}^{\frac{1}{3}} \left(-c^{2} d\right)^{\frac{1}{3}}\right)}{6 \, c^{2} d}, \frac{6 \, \sqrt{\frac{1}{3}} c d \sqrt{-\frac{\left(-c^{2} d\right)^{\frac{1}{3}}}{d}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, {\left(a c x^{3} + b c\right)} {\left(p x^{3} + q\right)}^{\frac{2}{3}} + {\left(p x^{3} + q\right)} \left(-c^{2} d\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-c^{2} d\right)^{\frac{1}{3}}}{d}}}{c p x^{3} + c q}\right) + \left(-c^{2} d\right)^{\frac{2}{3}} \log\left(a^{2} c^{2} x^{6} + 2 \, a b c^{2} x^{3} + b^{2} c^{2} + {\left(a c x^{3} + b c\right)} {\left(p x^{3} + q\right)}^{\frac{1}{3}} \left(-c^{2} d\right)^{\frac{1}{3}} + {\left(p x^{3} + q\right)}^{\frac{2}{3}} \left(-c^{2} d\right)^{\frac{2}{3}}\right) - 2 \, \left(-c^{2} d\right)^{\frac{2}{3}} \log\left(a c x^{3} + b c - {\left(p x^{3} + q\right)}^{\frac{1}{3}} \left(-c^{2} d\right)^{\frac{1}{3}}\right)}{6 \, c^{2} d}\right]"," ",0,"[1/6*(3*sqrt(1/3)*c*d*sqrt((-c^2*d)^(1/3)/d)*log((2*a^3*c^2*x^9 + 6*a^2*b*c^2*x^6 + 2*b^3*c^2 + (6*a*b^2*c^2 - c*d*p)*x^3 - c*d*q - 3*(a*x^3 + b)*(p*x^3 + q)^(2/3)*(-c^2*d)^(2/3) + 3*sqrt(1/3)*(2*(a^2*x^6 + 2*a*b*x^3 + b^2)*(p*x^3 + q)^(1/3)*(-c^2*d)^(2/3) + (a*c*d*x^3 + b*c*d)*(p*x^3 + q)^(2/3) + (d*p*x^3 + d*q)*(-c^2*d)^(1/3))*sqrt((-c^2*d)^(1/3)/d))/(a^3*c*x^9 + 3*a^2*b*c*x^6 + b^3*c + (3*a*b^2*c + d*p)*x^3 + d*q)) + (-c^2*d)^(2/3)*log(a^2*c^2*x^6 + 2*a*b*c^2*x^3 + b^2*c^2 + (a*c*x^3 + b*c)*(p*x^3 + q)^(1/3)*(-c^2*d)^(1/3) + (p*x^3 + q)^(2/3)*(-c^2*d)^(2/3)) - 2*(-c^2*d)^(2/3)*log(a*c*x^3 + b*c - (p*x^3 + q)^(1/3)*(-c^2*d)^(1/3)))/(c^2*d), 1/6*(6*sqrt(1/3)*c*d*sqrt(-(-c^2*d)^(1/3)/d)*arctan(sqrt(1/3)*(2*(a*c*x^3 + b*c)*(p*x^3 + q)^(2/3) + (p*x^3 + q)*(-c^2*d)^(1/3))*sqrt(-(-c^2*d)^(1/3)/d)/(c*p*x^3 + c*q)) + (-c^2*d)^(2/3)*log(a^2*c^2*x^6 + 2*a*b*c^2*x^3 + b^2*c^2 + (a*c*x^3 + b*c)*(p*x^3 + q)^(1/3)*(-c^2*d)^(1/3) + (p*x^3 + q)^(2/3)*(-c^2*d)^(2/3)) - 2*(-c^2*d)^(2/3)*log(a*c*x^3 + b*c - (p*x^3 + q)^(1/3)*(-c^2*d)^(1/3)))/(c^2*d)]","B",0
2968,-1,0,0,0.000000," ","integrate((a*b+a*c-2*b*c+(-2*a+b+c)*x)/((-a+x)*(-b+x)*(-c+x))^(1/3)/(a^2-b*c*d+(b*d+c*d-2*a)*x+(1-d)*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2969,1,735,0,18.520594," ","integrate((-2+x)*(x^2-x+1)/x^3/(x^2+x-1)/((2*x^2-x+1)/(3*x^2-x+1))^(1/3),x, algorithm=""fricas"")","-\frac{2 \cdot 3^{\frac{2}{3}} \left(-4\right)^{\frac{1}{3}} x^{2} \log\left(-\frac{24 \cdot 3^{\frac{2}{3}} \left(-4\right)^{\frac{1}{3}} {\left(39 \, x^{4} - 28 \, x^{3} + 33 \, x^{2} - 10 \, x + 5\right)} \left(\frac{2 \, x^{2} - x + 1}{3 \, x^{2} - x + 1}\right)^{\frac{2}{3}} - 3^{\frac{1}{3}} \left(-4\right)^{\frac{2}{3}} {\left(649 \, x^{4} - 538 \, x^{3} + 647 \, x^{2} - 218 \, x + 109\right)} - 36 \, {\left(75 \, x^{4} - 58 \, x^{3} + 69 \, x^{2} - 22 \, x + 11\right)} \left(\frac{2 \, x^{2} - x + 1}{3 \, x^{2} - x + 1}\right)^{\frac{1}{3}}}{x^{4} + 2 \, x^{3} - x^{2} - 2 \, x + 1}\right) - 4 \cdot 3^{\frac{2}{3}} \left(-4\right)^{\frac{1}{3}} x^{2} \log\left(-\frac{9 \cdot 3^{\frac{1}{3}} \left(-4\right)^{\frac{2}{3}} {\left(3 \, x^{2} - x + 1\right)} \left(\frac{2 \, x^{2} - x + 1}{3 \, x^{2} - x + 1}\right)^{\frac{1}{3}} + 3^{\frac{2}{3}} \left(-4\right)^{\frac{1}{3}} {\left(x^{2} + x - 1\right)} - 36 \, {\left(3 \, x^{2} - x + 1\right)} \left(\frac{2 \, x^{2} - x + 1}{3 \, x^{2} - x + 1}\right)^{\frac{2}{3}}}{x^{2} + x - 1}\right) + 12 \cdot 3^{\frac{1}{6}} \left(-4\right)^{\frac{1}{3}} x^{2} \arctan\left(\frac{3^{\frac{1}{6}} {\left(12 \cdot 3^{\frac{2}{3}} \left(-4\right)^{\frac{2}{3}} {\left(39 \, x^{6} + 11 \, x^{5} - 34 \, x^{4} + 51 \, x^{3} - 38 \, x^{2} + 15 \, x - 5\right)} \left(\frac{2 \, x^{2} - x + 1}{3 \, x^{2} - x + 1}\right)^{\frac{2}{3}} + 18 \, \left(-4\right)^{\frac{1}{3}} {\left(1947 \, x^{6} - 2263 \, x^{5} + 3128 \, x^{4} - 1839 \, x^{3} + 1192 \, x^{2} - 327 \, x + 109\right)} \left(\frac{2 \, x^{2} - x + 1}{3 \, x^{2} - x + 1}\right)^{\frac{1}{3}} - 3^{\frac{1}{3}} {\left(16199 \, x^{6} - 20631 \, x^{5} + 29268 \, x^{4} - 18463 \, x^{3} + 12204 \, x^{2} - 3567 \, x + 1189\right)}\right)}}{3 \, {\left(17497 \, x^{6} - 20409 \, x^{5} + 28188 \, x^{4} - 16529 \, x^{3} + 10692 \, x^{2} - 2913 \, x + 971\right)}}\right) + 42 \, \sqrt{3} x^{2} \arctan\left(\frac{26407150 \, \sqrt{3} {\left(3 \, x^{2} - x + 1\right)} \left(\frac{2 \, x^{2} - x + 1}{3 \, x^{2} - x + 1}\right)^{\frac{2}{3}} + 15172108 \, \sqrt{3} {\left(3 \, x^{2} - x + 1\right)} \left(\frac{2 \, x^{2} - x + 1}{3 \, x^{2} - x + 1}\right)^{\frac{1}{3}} + \sqrt{3} {\left(47470762 \, x^{2} - 20789629 \, x + 20789629\right)}}{29760814 \, x^{2} - 16852563 \, x + 16852563}\right) - 21 \, x^{2} \log\left(\frac{x^{2} + 3 \, {\left(3 \, x^{2} - x + 1\right)} \left(\frac{2 \, x^{2} - x + 1}{3 \, x^{2} - x + 1}\right)^{\frac{2}{3}} - 3 \, {\left(3 \, x^{2} - x + 1\right)} \left(\frac{2 \, x^{2} - x + 1}{3 \, x^{2} - x + 1}\right)^{\frac{1}{3}}}{x^{2}}\right) + 18 \, {\left(3 \, x^{2} - x + 1\right)} \left(\frac{2 \, x^{2} - x + 1}{3 \, x^{2} - x + 1}\right)^{\frac{2}{3}}}{18 \, x^{2}}"," ",0,"-1/18*(2*3^(2/3)*(-4)^(1/3)*x^2*log(-(24*3^(2/3)*(-4)^(1/3)*(39*x^4 - 28*x^3 + 33*x^2 - 10*x + 5)*((2*x^2 - x + 1)/(3*x^2 - x + 1))^(2/3) - 3^(1/3)*(-4)^(2/3)*(649*x^4 - 538*x^3 + 647*x^2 - 218*x + 109) - 36*(75*x^4 - 58*x^3 + 69*x^2 - 22*x + 11)*((2*x^2 - x + 1)/(3*x^2 - x + 1))^(1/3))/(x^4 + 2*x^3 - x^2 - 2*x + 1)) - 4*3^(2/3)*(-4)^(1/3)*x^2*log(-(9*3^(1/3)*(-4)^(2/3)*(3*x^2 - x + 1)*((2*x^2 - x + 1)/(3*x^2 - x + 1))^(1/3) + 3^(2/3)*(-4)^(1/3)*(x^2 + x - 1) - 36*(3*x^2 - x + 1)*((2*x^2 - x + 1)/(3*x^2 - x + 1))^(2/3))/(x^2 + x - 1)) + 12*3^(1/6)*(-4)^(1/3)*x^2*arctan(1/3*3^(1/6)*(12*3^(2/3)*(-4)^(2/3)*(39*x^6 + 11*x^5 - 34*x^4 + 51*x^3 - 38*x^2 + 15*x - 5)*((2*x^2 - x + 1)/(3*x^2 - x + 1))^(2/3) + 18*(-4)^(1/3)*(1947*x^6 - 2263*x^5 + 3128*x^4 - 1839*x^3 + 1192*x^2 - 327*x + 109)*((2*x^2 - x + 1)/(3*x^2 - x + 1))^(1/3) - 3^(1/3)*(16199*x^6 - 20631*x^5 + 29268*x^4 - 18463*x^3 + 12204*x^2 - 3567*x + 1189))/(17497*x^6 - 20409*x^5 + 28188*x^4 - 16529*x^3 + 10692*x^2 - 2913*x + 971)) + 42*sqrt(3)*x^2*arctan((26407150*sqrt(3)*(3*x^2 - x + 1)*((2*x^2 - x + 1)/(3*x^2 - x + 1))^(2/3) + 15172108*sqrt(3)*(3*x^2 - x + 1)*((2*x^2 - x + 1)/(3*x^2 - x + 1))^(1/3) + sqrt(3)*(47470762*x^2 - 20789629*x + 20789629))/(29760814*x^2 - 16852563*x + 16852563)) - 21*x^2*log((x^2 + 3*(3*x^2 - x + 1)*((2*x^2 - x + 1)/(3*x^2 - x + 1))^(2/3) - 3*(3*x^2 - x + 1)*((2*x^2 - x + 1)/(3*x^2 - x + 1))^(1/3))/x^2) + 18*(3*x^2 - x + 1)*((2*x^2 - x + 1)/(3*x^2 - x + 1))^(2/3))/x^2","B",0
2970,-1,0,0,0.000000," ","integrate(x^3*(9*a*x^4+5*b)/(a*x^5+b*x)^(1/4)/(a*x^9+b*x^5+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2971,1,2212,0,0.722569," ","integrate((x^2+1)^(1/2)*(x^4+1)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^4+1),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 2\right)} \arctan\left(\frac{1}{8} \, \sqrt{2 \, {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + \sqrt{2}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 2} + 4} {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} + \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)}\right) - \frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 2\right)} \arctan\left(\frac{1}{8} \, \sqrt{-2 \, {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + \sqrt{2}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 2} + 4} {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} - \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)}\right) + \frac{1}{2} \cdot 4^{\frac{1}{4}} 2^{\frac{7}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{2} - 1} \arctan\left(\frac{1}{8} \cdot 4^{\frac{3}{4}} 2^{\frac{3}{8}} \sqrt{2 \cdot 4^{\frac{1}{4}} 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2^{\frac{1}{4}}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \cdot 2^{\frac{1}{4}} + 4} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} - \frac{1}{4} \cdot 4^{\frac{3}{4}} 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} - {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right) + \frac{1}{2} \cdot 4^{\frac{1}{4}} 2^{\frac{7}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{2} - 1} \arctan\left(\frac{1}{8} \cdot 4^{\frac{3}{4}} 2^{\frac{3}{8}} \sqrt{-2 \cdot 4^{\frac{1}{4}} 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2^{\frac{1}{4}}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \cdot 2^{\frac{1}{4}} + 4} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} - \frac{1}{4} \cdot 4^{\frac{3}{4}} 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right) - \frac{1}{8} \cdot 4^{\frac{1}{4}} 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \log\left(2 \cdot 4^{\frac{1}{4}} 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2^{\frac{1}{4}}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \cdot 2^{\frac{1}{4}} + 4\right) + \frac{1}{8} \cdot 4^{\frac{1}{4}} 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \log\left(-2 \cdot 4^{\frac{1}{4}} 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2^{\frac{1}{4}}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \cdot 2^{\frac{1}{4}} + 4\right) - \frac{1}{8} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \log\left(2 \, {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + \sqrt{2}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 2} + 4\right) + \frac{1}{8} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \log\left(-2 \, {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + \sqrt{2}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 2} + 4\right) + \frac{1}{40320} \, {\left(1120 \, x^{2} - 2 \, \sqrt{x^{2} + 1} {\left(9520 \, x + 141\right)} + {\left(1680 \, x^{2} - 5 \, \sqrt{x^{2} + 1} {\left(336 \, x - 187\right)} - 2215 \, x - 184\right)} \sqrt{x + \sqrt{x^{2} + 1}} + 1818 \, x - 78032\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 2 \, \sqrt{2 \, \sqrt{\sqrt{2} + 1} - 2} \arctan\left(\frac{1}{2} \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{\sqrt{2} + 1}} \sqrt{2 \, \sqrt{\sqrt{2} + 1} - 2} {\left(\sqrt{\sqrt{2} + 1} + 1\right)} - \frac{1}{2} \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} \sqrt{2 \, \sqrt{\sqrt{2} + 1} - 2} {\left(\sqrt{\sqrt{2} + 1} + 1\right)}\right) + \frac{1}{2} \, \sqrt{2 \, \sqrt{\sqrt{2} + 1} + 2} \log\left(\sqrt{2} \sqrt{2 \, \sqrt{\sqrt{2} + 1} + 2} + 2 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{2 \, \sqrt{\sqrt{2} + 1} + 2} \log\left(-\sqrt{2} \sqrt{2 \, \sqrt{\sqrt{2} + 1} + 2} + 2 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{2 \, \sqrt{\sqrt{2} - 1} + 2} \log\left(\sqrt{2} \sqrt{2 \, \sqrt{\sqrt{2} - 1} + 2} + 2 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{2 \, \sqrt{\sqrt{2} - 1} + 2} \log\left(-\sqrt{2} \sqrt{2 \, \sqrt{\sqrt{2} - 1} + 2} + 2 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} - 1} + 2} \log\left(\sqrt{2} \sqrt{-2 \, \sqrt{\sqrt{2} - 1} + 2} + 2 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} - 1} + 2} \log\left(-\sqrt{2} \sqrt{-2 \, \sqrt{\sqrt{2} - 1} + 2} + 2 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{251}{256} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) - \frac{251}{256} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right)"," ",0,"-1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(1/4)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 2)*arctan(1/8*sqrt(2*(sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + sqrt(2))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 2) + 4)*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(3/4) - 1/4*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) + sqrt(sqrt(2) + 1)*(sqrt(2) - 1)) - 1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(1/4)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 2)*arctan(1/8*sqrt(-2*(sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + sqrt(2))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 2) + 4)*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(3/4) - 1/4*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) - sqrt(sqrt(2) + 1)*(sqrt(2) - 1)) + 1/2*4^(1/4)*2^(7/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(2) - 1)*arctan(1/8*4^(3/4)*2^(3/8)*sqrt(2*4^(1/4)*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(sqrt(2) + 2^(1/4))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*2^(1/4) + 4)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4) - 1/4*4^(3/4)*2^(3/8)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) - (sqrt(2) + 1)*sqrt(sqrt(2) - 1)) + 1/2*4^(1/4)*2^(7/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(2) - 1)*arctan(1/8*4^(3/4)*2^(3/8)*sqrt(-2*4^(1/4)*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(sqrt(2) + 2^(1/4))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*2^(1/4) + 4)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4) - 1/4*4^(3/4)*2^(3/8)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1)) - 1/8*4^(1/4)*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*log(2*4^(1/4)*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(sqrt(2) + 2^(1/4))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*2^(1/4) + 4) + 1/8*4^(1/4)*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*log(-2*4^(1/4)*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(sqrt(2) + 2^(1/4))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*2^(1/4) + 4) - 1/8*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(4*sqrt(2) + 8)^(1/4)*log(2*(sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + sqrt(2))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 2) + 4) + 1/8*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(4*sqrt(2) + 8)^(1/4)*log(-2*(sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + sqrt(2))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 2) + 4) + 1/40320*(1120*x^2 - 2*sqrt(x^2 + 1)*(9520*x + 141) + (1680*x^2 - 5*sqrt(x^2 + 1)*(336*x - 187) - 2215*x - 184)*sqrt(x + sqrt(x^2 + 1)) + 1818*x - 78032)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 2*sqrt(2*sqrt(sqrt(2) + 1) - 2)*arctan(1/2*sqrt(sqrt(x + sqrt(x^2 + 1)) + sqrt(sqrt(2) + 1))*sqrt(2*sqrt(sqrt(2) + 1) - 2)*(sqrt(sqrt(2) + 1) + 1) - 1/2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)*sqrt(2*sqrt(sqrt(2) + 1) - 2)*(sqrt(sqrt(2) + 1) + 1)) + 1/2*sqrt(2*sqrt(sqrt(2) + 1) + 2)*log(sqrt(2)*sqrt(2*sqrt(sqrt(2) + 1) + 2) + 2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(2*sqrt(sqrt(2) + 1) + 2)*log(-sqrt(2)*sqrt(2*sqrt(sqrt(2) + 1) + 2) + 2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(2*sqrt(sqrt(2) - 1) + 2)*log(sqrt(2)*sqrt(2*sqrt(sqrt(2) - 1) + 2) + 2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(2*sqrt(sqrt(2) - 1) + 2)*log(-sqrt(2)*sqrt(2*sqrt(sqrt(2) - 1) + 2) + 2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-2*sqrt(sqrt(2) - 1) + 2)*log(sqrt(2)*sqrt(-2*sqrt(sqrt(2) - 1) + 2) + 2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-2*sqrt(sqrt(2) - 1) + 2)*log(-sqrt(2)*sqrt(-2*sqrt(sqrt(2) - 1) + 2) + 2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 251/256*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) - 251/256*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1)","B",0
2972,1,2212,0,0.686867," ","integrate((x^2+1)^(1/2)*(x^4+1)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^4+1),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 2\right)} \arctan\left(\frac{1}{8} \, \sqrt{2 \, {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + \sqrt{2}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 2} + 4} {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} + \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)}\right) - \frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 2\right)} \arctan\left(\frac{1}{8} \, \sqrt{-2 \, {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + \sqrt{2}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 2} + 4} {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} - \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)}\right) + \frac{1}{2} \cdot 4^{\frac{1}{4}} 2^{\frac{7}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{2} - 1} \arctan\left(\frac{1}{8} \cdot 4^{\frac{3}{4}} 2^{\frac{3}{8}} \sqrt{2 \cdot 4^{\frac{1}{4}} 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2^{\frac{1}{4}}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \cdot 2^{\frac{1}{4}} + 4} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} - \frac{1}{4} \cdot 4^{\frac{3}{4}} 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} - {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right) + \frac{1}{2} \cdot 4^{\frac{1}{4}} 2^{\frac{7}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{2} - 1} \arctan\left(\frac{1}{8} \cdot 4^{\frac{3}{4}} 2^{\frac{3}{8}} \sqrt{-2 \cdot 4^{\frac{1}{4}} 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2^{\frac{1}{4}}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \cdot 2^{\frac{1}{4}} + 4} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} - \frac{1}{4} \cdot 4^{\frac{3}{4}} 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right) - \frac{1}{8} \cdot 4^{\frac{1}{4}} 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \log\left(2 \cdot 4^{\frac{1}{4}} 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2^{\frac{1}{4}}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \cdot 2^{\frac{1}{4}} + 4\right) + \frac{1}{8} \cdot 4^{\frac{1}{4}} 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \log\left(-2 \cdot 4^{\frac{1}{4}} 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2^{\frac{1}{4}}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \cdot 2^{\frac{1}{4}} + 4\right) - \frac{1}{8} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \log\left(2 \, {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + \sqrt{2}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 2} + 4\right) + \frac{1}{8} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \log\left(-2 \, {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + \sqrt{2}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(4 \, \sqrt{2} + 8\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 2} + 4\right) + \frac{1}{40320} \, {\left(1120 \, x^{2} - 2 \, \sqrt{x^{2} + 1} {\left(9520 \, x + 141\right)} + {\left(1680 \, x^{2} - 5 \, \sqrt{x^{2} + 1} {\left(336 \, x - 187\right)} - 2215 \, x - 184\right)} \sqrt{x + \sqrt{x^{2} + 1}} + 1818 \, x - 78032\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 2 \, \sqrt{2 \, \sqrt{\sqrt{2} + 1} - 2} \arctan\left(\frac{1}{2} \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{\sqrt{2} + 1}} \sqrt{2 \, \sqrt{\sqrt{2} + 1} - 2} {\left(\sqrt{\sqrt{2} + 1} + 1\right)} - \frac{1}{2} \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} \sqrt{2 \, \sqrt{\sqrt{2} + 1} - 2} {\left(\sqrt{\sqrt{2} + 1} + 1\right)}\right) + \frac{1}{2} \, \sqrt{2 \, \sqrt{\sqrt{2} + 1} + 2} \log\left(\sqrt{2} \sqrt{2 \, \sqrt{\sqrt{2} + 1} + 2} + 2 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{2 \, \sqrt{\sqrt{2} + 1} + 2} \log\left(-\sqrt{2} \sqrt{2 \, \sqrt{\sqrt{2} + 1} + 2} + 2 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{2 \, \sqrt{\sqrt{2} - 1} + 2} \log\left(\sqrt{2} \sqrt{2 \, \sqrt{\sqrt{2} - 1} + 2} + 2 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{2 \, \sqrt{\sqrt{2} - 1} + 2} \log\left(-\sqrt{2} \sqrt{2 \, \sqrt{\sqrt{2} - 1} + 2} + 2 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} - 1} + 2} \log\left(\sqrt{2} \sqrt{-2 \, \sqrt{\sqrt{2} - 1} + 2} + 2 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} - 1} + 2} \log\left(-\sqrt{2} \sqrt{-2 \, \sqrt{\sqrt{2} - 1} + 2} + 2 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{251}{256} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) - \frac{251}{256} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right)"," ",0,"-1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(1/4)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 2)*arctan(1/8*sqrt(2*(sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + sqrt(2))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 2) + 4)*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(3/4) - 1/4*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) + sqrt(sqrt(2) + 1)*(sqrt(2) - 1)) - 1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(1/4)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 2)*arctan(1/8*sqrt(-2*(sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + sqrt(2))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 2) + 4)*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(3/4) - 1/4*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) - sqrt(sqrt(2) + 1)*(sqrt(2) - 1)) + 1/2*4^(1/4)*2^(7/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(2) - 1)*arctan(1/8*4^(3/4)*2^(3/8)*sqrt(2*4^(1/4)*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(sqrt(2) + 2^(1/4))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*2^(1/4) + 4)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4) - 1/4*4^(3/4)*2^(3/8)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) - (sqrt(2) + 1)*sqrt(sqrt(2) - 1)) + 1/2*4^(1/4)*2^(7/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(2) - 1)*arctan(1/8*4^(3/4)*2^(3/8)*sqrt(-2*4^(1/4)*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(sqrt(2) + 2^(1/4))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*2^(1/4) + 4)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4) - 1/4*4^(3/4)*2^(3/8)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1)) - 1/8*4^(1/4)*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*log(2*4^(1/4)*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(sqrt(2) + 2^(1/4))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*2^(1/4) + 4) + 1/8*4^(1/4)*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*log(-2*4^(1/4)*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(sqrt(2) + 2^(1/4))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*2^(1/4) + 4) - 1/8*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(4*sqrt(2) + 8)^(1/4)*log(2*(sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + sqrt(2))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 2) + 4) + 1/8*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(4*sqrt(2) + 8)^(1/4)*log(-2*(sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + sqrt(2))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(4*sqrt(2) + 8)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 2) + 4) + 1/40320*(1120*x^2 - 2*sqrt(x^2 + 1)*(9520*x + 141) + (1680*x^2 - 5*sqrt(x^2 + 1)*(336*x - 187) - 2215*x - 184)*sqrt(x + sqrt(x^2 + 1)) + 1818*x - 78032)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 2*sqrt(2*sqrt(sqrt(2) + 1) - 2)*arctan(1/2*sqrt(sqrt(x + sqrt(x^2 + 1)) + sqrt(sqrt(2) + 1))*sqrt(2*sqrt(sqrt(2) + 1) - 2)*(sqrt(sqrt(2) + 1) + 1) - 1/2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)*sqrt(2*sqrt(sqrt(2) + 1) - 2)*(sqrt(sqrt(2) + 1) + 1)) + 1/2*sqrt(2*sqrt(sqrt(2) + 1) + 2)*log(sqrt(2)*sqrt(2*sqrt(sqrt(2) + 1) + 2) + 2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(2*sqrt(sqrt(2) + 1) + 2)*log(-sqrt(2)*sqrt(2*sqrt(sqrt(2) + 1) + 2) + 2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(2*sqrt(sqrt(2) - 1) + 2)*log(sqrt(2)*sqrt(2*sqrt(sqrt(2) - 1) + 2) + 2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(2*sqrt(sqrt(2) - 1) + 2)*log(-sqrt(2)*sqrt(2*sqrt(sqrt(2) - 1) + 2) + 2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-2*sqrt(sqrt(2) - 1) + 2)*log(sqrt(2)*sqrt(-2*sqrt(sqrt(2) - 1) + 2) + 2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-2*sqrt(sqrt(2) - 1) + 2)*log(-sqrt(2)*sqrt(-2*sqrt(sqrt(2) - 1) + 2) + 2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 251/256*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) - 251/256*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1)","B",0
2973,-1,0,0,0.000000," ","integrate((a^12*x^12+b^12)/(a^4*x^4-b^4)^(1/2)/(a^12*x^12-b^12),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2974,-1,0,0,0.000000," ","integrate((a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(a^2*x^4+b)^(1/2)/(c*x^4+d),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2975,-1,0,0,0.000000," ","integrate((a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(a^2*x^4+b)^(1/2)/(c*x^4+d),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2976,-2,0,0,0.000000," ","integrate(x/(x-(a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
2977,-2,0,0,0.000000," ","integrate(x/(x-(a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
2978,-2,0,0,0.000000," ","integrate((-2*x+(1+k)*x^2)*(1-(1+k)*x+(a+k)*x^2)/((1-x)*x*(-k*x+1))^(2/3)/(1-2*(1+k)*x+(k^2+4*k+1)*x^2-2*(k^2+k)*x^3+(k^2-b)*x^4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
2979,-2,0,0,0.000000," ","integrate((-2+(1+k)*x)*(1-(1+k)*x+(a+k)*x^2)/((1-x)*x*(-k*x+1))^(1/3)/(1-(2+2*k)*x+(k^2+4*k+1)*x^2-2*(k^2+k)*x^3+(k^2-b)*x^4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
2980,1,761,0,0.750981," ","integrate(1/(a^2*x^2-b)^(1/2)/(a*x+(a^2*x^2-b)^(1/2))^(1/2)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/4))^(1/6),x, algorithm=""fricas"")","-\frac{28 \, \sqrt{3} a b c^{2} \left(\frac{1}{a^{6} c^{13}}\right)^{\frac{1}{6}} \arctan\left(\frac{2}{3} \, \sqrt{3} \sqrt{a^{5} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}} c^{11} \left(\frac{1}{a^{6} c^{13}}\right)^{\frac{5}{6}} + a^{4} c^{9} \left(\frac{1}{a^{6} c^{13}}\right)^{\frac{2}{3}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}} a c^{2} \left(\frac{1}{a^{6} c^{13}}\right)^{\frac{1}{6}} - \frac{2}{3} \, \sqrt{3} a {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}} c^{2} \left(\frac{1}{a^{6} c^{13}}\right)^{\frac{1}{6}} - \frac{1}{3} \, \sqrt{3}\right) + 28 \, \sqrt{3} a b c^{2} \left(\frac{1}{a^{6} c^{13}}\right)^{\frac{1}{6}} \arctan\left(\frac{2}{3} \, \sqrt{3} \sqrt{-a^{5} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}} c^{11} \left(\frac{1}{a^{6} c^{13}}\right)^{\frac{5}{6}} + a^{4} c^{9} \left(\frac{1}{a^{6} c^{13}}\right)^{\frac{2}{3}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}} a c^{2} \left(\frac{1}{a^{6} c^{13}}\right)^{\frac{1}{6}} - \frac{2}{3} \, \sqrt{3} a {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}} c^{2} \left(\frac{1}{a^{6} c^{13}}\right)^{\frac{1}{6}} + \frac{1}{3} \, \sqrt{3}\right) + 7 \, a b c^{2} \left(\frac{1}{a^{6} c^{13}}\right)^{\frac{1}{6}} \log\left(a^{5} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}} c^{11} \left(\frac{1}{a^{6} c^{13}}\right)^{\frac{5}{6}} + a^{4} c^{9} \left(\frac{1}{a^{6} c^{13}}\right)^{\frac{2}{3}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}\right) - 7 \, a b c^{2} \left(\frac{1}{a^{6} c^{13}}\right)^{\frac{1}{6}} \log\left(-a^{5} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}} c^{11} \left(\frac{1}{a^{6} c^{13}}\right)^{\frac{5}{6}} + a^{4} c^{9} \left(\frac{1}{a^{6} c^{13}}\right)^{\frac{2}{3}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}\right) + 14 \, a b c^{2} \left(\frac{1}{a^{6} c^{13}}\right)^{\frac{1}{6}} \log\left(a^{5} c^{11} \left(\frac{1}{a^{6} c^{13}}\right)^{\frac{5}{6}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}}\right) - 14 \, a b c^{2} \left(\frac{1}{a^{6} c^{13}}\right)^{\frac{1}{6}} \log\left(-a^{5} c^{11} \left(\frac{1}{a^{6} c^{13}}\right)^{\frac{5}{6}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}}\right) - 12 \, {\left(7 \, {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} {\left(a x - \sqrt{a^{2} x^{2} - b}\right)} - 6 \, {\left(a c x - \sqrt{a^{2} x^{2} - b} c\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}}\right)} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{5}{6}}}{36 \, a b c^{2}}"," ",0,"-1/36*(28*sqrt(3)*a*b*c^2*(1/(a^6*c^13))^(1/6)*arctan(2/3*sqrt(3)*sqrt(a^5*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)*c^11*(1/(a^6*c^13))^(5/6) + a^4*c^9*(1/(a^6*c^13))^(2/3) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3))*a*c^2*(1/(a^6*c^13))^(1/6) - 2/3*sqrt(3)*a*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)*c^2*(1/(a^6*c^13))^(1/6) - 1/3*sqrt(3)) + 28*sqrt(3)*a*b*c^2*(1/(a^6*c^13))^(1/6)*arctan(2/3*sqrt(3)*sqrt(-a^5*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)*c^11*(1/(a^6*c^13))^(5/6) + a^4*c^9*(1/(a^6*c^13))^(2/3) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3))*a*c^2*(1/(a^6*c^13))^(1/6) - 2/3*sqrt(3)*a*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)*c^2*(1/(a^6*c^13))^(1/6) + 1/3*sqrt(3)) + 7*a*b*c^2*(1/(a^6*c^13))^(1/6)*log(a^5*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)*c^11*(1/(a^6*c^13))^(5/6) + a^4*c^9*(1/(a^6*c^13))^(2/3) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)) - 7*a*b*c^2*(1/(a^6*c^13))^(1/6)*log(-a^5*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)*c^11*(1/(a^6*c^13))^(5/6) + a^4*c^9*(1/(a^6*c^13))^(2/3) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)) + 14*a*b*c^2*(1/(a^6*c^13))^(1/6)*log(a^5*c^11*(1/(a^6*c^13))^(5/6) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)) - 14*a*b*c^2*(1/(a^6*c^13))^(1/6)*log(-a^5*c^11*(1/(a^6*c^13))^(5/6) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)) - 12*(7*(a*x + sqrt(a^2*x^2 - b))^(3/4)*(a*x - sqrt(a^2*x^2 - b)) - 6*(a*c*x - sqrt(a^2*x^2 - b)*c)*sqrt(a*x + sqrt(a^2*x^2 - b)))*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(5/6))/(a*b*c^2)","B",0
2981,1,210,0,0.526685," ","integrate(x/(1+(a*x+(a^2*x^2-b)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{3675 \, b^{2} \log\left(\sqrt{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} + 1} + 1\right) - 3675 \, b^{2} \log\left(\sqrt{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} + 1} - 1\right) + 2 \, {\left(3360 \, a^{2} x^{2} + 2 \, {\left(1225 \, a b - 1152 \, a\right)} x - 2 \, \sqrt{a^{2} x^{2} - b} {\left(1680 \, a x + 1225 \, b + 1152\right)} - {\left(3920 \, a^{2} x^{2} + 15 \, {\left(245 \, a b - 128 \, a\right)} x - 5 \, \sqrt{a^{2} x^{2} - b} {\left(784 \, a x + 735 \, b + 384\right)} - 1960 \, b - 3072\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} - 1680 \, b - 6144\right)} \sqrt{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} + 1}}{26880 \, a^{2}}"," ",0,"1/26880*(3675*b^2*log(sqrt(sqrt(a*x + sqrt(a^2*x^2 - b)) + 1) + 1) - 3675*b^2*log(sqrt(sqrt(a*x + sqrt(a^2*x^2 - b)) + 1) - 1) + 2*(3360*a^2*x^2 + 2*(1225*a*b - 1152*a)*x - 2*sqrt(a^2*x^2 - b)*(1680*a*x + 1225*b + 1152) - (3920*a^2*x^2 + 15*(245*a*b - 128*a)*x - 5*sqrt(a^2*x^2 - b)*(784*a*x + 735*b + 384) - 1960*b - 3072)*sqrt(a*x + sqrt(a^2*x^2 - b)) - 1680*b - 6144)*sqrt(sqrt(a*x + sqrt(a^2*x^2 - b)) + 1))/a^2","A",0
2982,1,5796,0,0.759868," ","integrate((c*x^2+d)*(a*x+(a^2*x^2-b)^(1/2))^(5/4)/(a^2*x^2-b)^(3/2),x, algorithm=""fricas"")","-\frac{100 \, \sqrt{2} {\left(a^{5} x^{2} - a^{3} b\right)} \left(\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}{a^{24} b^{3}}\right)^{\frac{1}{8}} \arctan\left(\frac{3125 \, a^{16} d^{8} + 25000 \, a^{14} b c d^{7} + 87500 \, a^{12} b^{2} c^{2} d^{6} + 175000 \, a^{10} b^{3} c^{3} d^{5} + 218750 \, a^{8} b^{4} c^{4} d^{4} + 175000 \, a^{6} b^{5} c^{5} d^{3} + 87500 \, a^{4} b^{6} c^{6} d^{2} + 25000 \, a^{2} b^{7} c^{7} d + 3125 \, b^{8} c^{8} + \sqrt{2} \sqrt{-9765625 \, \sqrt{2} {\left(a^{25} b^{2} d^{5} + 5 \, a^{23} b^{3} c d^{4} + 10 \, a^{21} b^{4} c^{2} d^{3} + 10 \, a^{19} b^{5} c^{3} d^{2} + 5 \, a^{17} b^{6} c^{4} d + a^{15} b^{7} c^{5}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} \left(\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}{a^{24} b^{3}}\right)^{\frac{5}{8}} + 9765625 \, {\left(a^{20} d^{10} + 10 \, a^{18} b c d^{9} + 45 \, a^{16} b^{2} c^{2} d^{8} + 120 \, a^{14} b^{3} c^{3} d^{7} + 210 \, a^{12} b^{4} c^{4} d^{6} + 252 \, a^{10} b^{5} c^{5} d^{5} + 210 \, a^{8} b^{6} c^{6} d^{4} + 120 \, a^{6} b^{7} c^{7} d^{3} + 45 \, a^{4} b^{8} c^{8} d^{2} + 10 \, a^{2} b^{9} c^{9} d + b^{10} c^{10}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} + 9765625 \, {\left(a^{22} b d^{8} + 8 \, a^{20} b^{2} c d^{7} + 28 \, a^{18} b^{3} c^{2} d^{6} + 56 \, a^{16} b^{4} c^{3} d^{5} + 70 \, a^{14} b^{5} c^{4} d^{4} + 56 \, a^{12} b^{6} c^{5} d^{3} + 28 \, a^{10} b^{7} c^{6} d^{2} + 8 \, a^{8} b^{8} c^{7} d + a^{6} b^{9} c^{8}\right)} \left(\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}{a^{24} b^{3}}\right)^{\frac{1}{4}}} a^{9} b \left(\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}{a^{24} b^{3}}\right)^{\frac{3}{8}} - 3125 \, \sqrt{2} {\left(a^{19} b d^{5} + 5 \, a^{17} b^{2} c d^{4} + 10 \, a^{15} b^{3} c^{2} d^{3} + 10 \, a^{13} b^{4} c^{3} d^{2} + 5 \, a^{11} b^{5} c^{4} d + a^{9} b^{6} c^{5}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} \left(\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}{a^{24} b^{3}}\right)^{\frac{3}{8}}}{3125 \, {\left(a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}\right)}}\right) + 100 \, \sqrt{2} {\left(a^{5} x^{2} - a^{3} b\right)} \left(\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}{a^{24} b^{3}}\right)^{\frac{1}{8}} \arctan\left(-\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8} - \sqrt{2} \sqrt{\sqrt{2} {\left(a^{25} b^{2} d^{5} + 5 \, a^{23} b^{3} c d^{4} + 10 \, a^{21} b^{4} c^{2} d^{3} + 10 \, a^{19} b^{5} c^{3} d^{2} + 5 \, a^{17} b^{6} c^{4} d + a^{15} b^{7} c^{5}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} \left(\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}{a^{24} b^{3}}\right)^{\frac{5}{8}} + {\left(a^{20} d^{10} + 10 \, a^{18} b c d^{9} + 45 \, a^{16} b^{2} c^{2} d^{8} + 120 \, a^{14} b^{3} c^{3} d^{7} + 210 \, a^{12} b^{4} c^{4} d^{6} + 252 \, a^{10} b^{5} c^{5} d^{5} + 210 \, a^{8} b^{6} c^{6} d^{4} + 120 \, a^{6} b^{7} c^{7} d^{3} + 45 \, a^{4} b^{8} c^{8} d^{2} + 10 \, a^{2} b^{9} c^{9} d + b^{10} c^{10}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} + {\left(a^{22} b d^{8} + 8 \, a^{20} b^{2} c d^{7} + 28 \, a^{18} b^{3} c^{2} d^{6} + 56 \, a^{16} b^{4} c^{3} d^{5} + 70 \, a^{14} b^{5} c^{4} d^{4} + 56 \, a^{12} b^{6} c^{5} d^{3} + 28 \, a^{10} b^{7} c^{6} d^{2} + 8 \, a^{8} b^{8} c^{7} d + a^{6} b^{9} c^{8}\right)} \left(\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}{a^{24} b^{3}}\right)^{\frac{1}{4}}} a^{9} b \left(\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}{a^{24} b^{3}}\right)^{\frac{3}{8}} + \sqrt{2} {\left(a^{19} b d^{5} + 5 \, a^{17} b^{2} c d^{4} + 10 \, a^{15} b^{3} c^{2} d^{3} + 10 \, a^{13} b^{4} c^{3} d^{2} + 5 \, a^{11} b^{5} c^{4} d + a^{9} b^{6} c^{5}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} \left(\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}{a^{24} b^{3}}\right)^{\frac{3}{8}}}{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}\right) - 25 \, \sqrt{2} {\left(a^{5} x^{2} - a^{3} b\right)} \left(\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}{a^{24} b^{3}}\right)^{\frac{1}{8}} \log\left(9765625 \, \sqrt{2} {\left(a^{25} b^{2} d^{5} + 5 \, a^{23} b^{3} c d^{4} + 10 \, a^{21} b^{4} c^{2} d^{3} + 10 \, a^{19} b^{5} c^{3} d^{2} + 5 \, a^{17} b^{6} c^{4} d + a^{15} b^{7} c^{5}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} \left(\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}{a^{24} b^{3}}\right)^{\frac{5}{8}} + 9765625 \, {\left(a^{20} d^{10} + 10 \, a^{18} b c d^{9} + 45 \, a^{16} b^{2} c^{2} d^{8} + 120 \, a^{14} b^{3} c^{3} d^{7} + 210 \, a^{12} b^{4} c^{4} d^{6} + 252 \, a^{10} b^{5} c^{5} d^{5} + 210 \, a^{8} b^{6} c^{6} d^{4} + 120 \, a^{6} b^{7} c^{7} d^{3} + 45 \, a^{4} b^{8} c^{8} d^{2} + 10 \, a^{2} b^{9} c^{9} d + b^{10} c^{10}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} + 9765625 \, {\left(a^{22} b d^{8} + 8 \, a^{20} b^{2} c d^{7} + 28 \, a^{18} b^{3} c^{2} d^{6} + 56 \, a^{16} b^{4} c^{3} d^{5} + 70 \, a^{14} b^{5} c^{4} d^{4} + 56 \, a^{12} b^{6} c^{5} d^{3} + 28 \, a^{10} b^{7} c^{6} d^{2} + 8 \, a^{8} b^{8} c^{7} d + a^{6} b^{9} c^{8}\right)} \left(\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}{a^{24} b^{3}}\right)^{\frac{1}{4}}\right) + 25 \, \sqrt{2} {\left(a^{5} x^{2} - a^{3} b\right)} \left(\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}{a^{24} b^{3}}\right)^{\frac{1}{8}} \log\left(-9765625 \, \sqrt{2} {\left(a^{25} b^{2} d^{5} + 5 \, a^{23} b^{3} c d^{4} + 10 \, a^{21} b^{4} c^{2} d^{3} + 10 \, a^{19} b^{5} c^{3} d^{2} + 5 \, a^{17} b^{6} c^{4} d + a^{15} b^{7} c^{5}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} \left(\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}{a^{24} b^{3}}\right)^{\frac{5}{8}} + 9765625 \, {\left(a^{20} d^{10} + 10 \, a^{18} b c d^{9} + 45 \, a^{16} b^{2} c^{2} d^{8} + 120 \, a^{14} b^{3} c^{3} d^{7} + 210 \, a^{12} b^{4} c^{4} d^{6} + 252 \, a^{10} b^{5} c^{5} d^{5} + 210 \, a^{8} b^{6} c^{6} d^{4} + 120 \, a^{6} b^{7} c^{7} d^{3} + 45 \, a^{4} b^{8} c^{8} d^{2} + 10 \, a^{2} b^{9} c^{9} d + b^{10} c^{10}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} + 9765625 \, {\left(a^{22} b d^{8} + 8 \, a^{20} b^{2} c d^{7} + 28 \, a^{18} b^{3} c^{2} d^{6} + 56 \, a^{16} b^{4} c^{3} d^{5} + 70 \, a^{14} b^{5} c^{4} d^{4} + 56 \, a^{12} b^{6} c^{5} d^{3} + 28 \, a^{10} b^{7} c^{6} d^{2} + 8 \, a^{8} b^{8} c^{7} d + a^{6} b^{9} c^{8}\right)} \left(\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}{a^{24} b^{3}}\right)^{\frac{1}{4}}\right) - 200 \, {\left(a^{5} x^{2} - a^{3} b\right)} \left(\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}{a^{24} b^{3}}\right)^{\frac{1}{8}} \arctan\left(\frac{\sqrt{{\left(a^{20} d^{10} + 10 \, a^{18} b c d^{9} + 45 \, a^{16} b^{2} c^{2} d^{8} + 120 \, a^{14} b^{3} c^{3} d^{7} + 210 \, a^{12} b^{4} c^{4} d^{6} + 252 \, a^{10} b^{5} c^{5} d^{5} + 210 \, a^{8} b^{6} c^{6} d^{4} + 120 \, a^{6} b^{7} c^{7} d^{3} + 45 \, a^{4} b^{8} c^{8} d^{2} + 10 \, a^{2} b^{9} c^{9} d + b^{10} c^{10}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} + {\left(a^{22} b d^{8} + 8 \, a^{20} b^{2} c d^{7} + 28 \, a^{18} b^{3} c^{2} d^{6} + 56 \, a^{16} b^{4} c^{3} d^{5} + 70 \, a^{14} b^{5} c^{4} d^{4} + 56 \, a^{12} b^{6} c^{5} d^{3} + 28 \, a^{10} b^{7} c^{6} d^{2} + 8 \, a^{8} b^{8} c^{7} d + a^{6} b^{9} c^{8}\right)} \left(\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}{a^{24} b^{3}}\right)^{\frac{1}{4}}} a^{9} b \left(\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}{a^{24} b^{3}}\right)^{\frac{3}{8}} - {\left(a^{19} b d^{5} + 5 \, a^{17} b^{2} c d^{4} + 10 \, a^{15} b^{3} c^{2} d^{3} + 10 \, a^{13} b^{4} c^{3} d^{2} + 5 \, a^{11} b^{5} c^{4} d + a^{9} b^{6} c^{5}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} \left(\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}{a^{24} b^{3}}\right)^{\frac{3}{8}}}{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}\right) + 50 \, {\left(a^{5} x^{2} - a^{3} b\right)} \left(\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}{a^{24} b^{3}}\right)^{\frac{1}{8}} \log\left(3125 \, a^{15} b^{2} \left(\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}{a^{24} b^{3}}\right)^{\frac{5}{8}} + 3125 \, {\left(a^{10} d^{5} + 5 \, a^{8} b c d^{4} + 10 \, a^{6} b^{2} c^{2} d^{3} + 10 \, a^{4} b^{3} c^{3} d^{2} + 5 \, a^{2} b^{4} c^{4} d + b^{5} c^{5}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right) - 50 \, {\left(a^{5} x^{2} - a^{3} b\right)} \left(\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}{a^{24} b^{3}}\right)^{\frac{1}{8}} \log\left(-3125 \, a^{15} b^{2} \left(\frac{a^{16} d^{8} + 8 \, a^{14} b c d^{7} + 28 \, a^{12} b^{2} c^{2} d^{6} + 56 \, a^{10} b^{3} c^{3} d^{5} + 70 \, a^{8} b^{4} c^{4} d^{4} + 56 \, a^{6} b^{5} c^{5} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{2} + 8 \, a^{2} b^{7} c^{7} d + b^{8} c^{8}}{a^{24} b^{3}}\right)^{\frac{5}{8}} + 3125 \, {\left(a^{10} d^{5} + 5 \, a^{8} b c d^{4} + 10 \, a^{6} b^{2} c^{2} d^{3} + 10 \, a^{4} b^{3} c^{3} d^{2} + 5 \, a^{2} b^{4} c^{4} d + b^{5} c^{5}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right) - 8 \, {\left(4 \, a^{3} c x^{3} - 4 \, a b c x + {\left(4 \, a^{2} c x^{2} - 5 \, a^{2} d - 9 \, b c\right)} \sqrt{a^{2} x^{2} - b}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}}{40 \, {\left(a^{5} x^{2} - a^{3} b\right)}}"," ",0,"-1/40*(100*sqrt(2)*(a^5*x^2 - a^3*b)*((a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)/(a^24*b^3))^(1/8)*arctan(1/3125*(3125*a^16*d^8 + 25000*a^14*b*c*d^7 + 87500*a^12*b^2*c^2*d^6 + 175000*a^10*b^3*c^3*d^5 + 218750*a^8*b^4*c^4*d^4 + 175000*a^6*b^5*c^5*d^3 + 87500*a^4*b^6*c^6*d^2 + 25000*a^2*b^7*c^7*d + 3125*b^8*c^8 + sqrt(2)*sqrt(-9765625*sqrt(2)*(a^25*b^2*d^5 + 5*a^23*b^3*c*d^4 + 10*a^21*b^4*c^2*d^3 + 10*a^19*b^5*c^3*d^2 + 5*a^17*b^6*c^4*d + a^15*b^7*c^5)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*((a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)/(a^24*b^3))^(5/8) + 9765625*(a^20*d^10 + 10*a^18*b*c*d^9 + 45*a^16*b^2*c^2*d^8 + 120*a^14*b^3*c^3*d^7 + 210*a^12*b^4*c^4*d^6 + 252*a^10*b^5*c^5*d^5 + 210*a^8*b^6*c^6*d^4 + 120*a^6*b^7*c^7*d^3 + 45*a^4*b^8*c^8*d^2 + 10*a^2*b^9*c^9*d + b^10*c^10)*sqrt(a*x + sqrt(a^2*x^2 - b)) + 9765625*(a^22*b*d^8 + 8*a^20*b^2*c*d^7 + 28*a^18*b^3*c^2*d^6 + 56*a^16*b^4*c^3*d^5 + 70*a^14*b^5*c^4*d^4 + 56*a^12*b^6*c^5*d^3 + 28*a^10*b^7*c^6*d^2 + 8*a^8*b^8*c^7*d + a^6*b^9*c^8)*((a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)/(a^24*b^3))^(1/4))*a^9*b*((a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)/(a^24*b^3))^(3/8) - 3125*sqrt(2)*(a^19*b*d^5 + 5*a^17*b^2*c*d^4 + 10*a^15*b^3*c^2*d^3 + 10*a^13*b^4*c^3*d^2 + 5*a^11*b^5*c^4*d + a^9*b^6*c^5)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*((a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)/(a^24*b^3))^(3/8))/(a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)) + 100*sqrt(2)*(a^5*x^2 - a^3*b)*((a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)/(a^24*b^3))^(1/8)*arctan(-(a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8 - sqrt(2)*sqrt(sqrt(2)*(a^25*b^2*d^5 + 5*a^23*b^3*c*d^4 + 10*a^21*b^4*c^2*d^3 + 10*a^19*b^5*c^3*d^2 + 5*a^17*b^6*c^4*d + a^15*b^7*c^5)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*((a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)/(a^24*b^3))^(5/8) + (a^20*d^10 + 10*a^18*b*c*d^9 + 45*a^16*b^2*c^2*d^8 + 120*a^14*b^3*c^3*d^7 + 210*a^12*b^4*c^4*d^6 + 252*a^10*b^5*c^5*d^5 + 210*a^8*b^6*c^6*d^4 + 120*a^6*b^7*c^7*d^3 + 45*a^4*b^8*c^8*d^2 + 10*a^2*b^9*c^9*d + b^10*c^10)*sqrt(a*x + sqrt(a^2*x^2 - b)) + (a^22*b*d^8 + 8*a^20*b^2*c*d^7 + 28*a^18*b^3*c^2*d^6 + 56*a^16*b^4*c^3*d^5 + 70*a^14*b^5*c^4*d^4 + 56*a^12*b^6*c^5*d^3 + 28*a^10*b^7*c^6*d^2 + 8*a^8*b^8*c^7*d + a^6*b^9*c^8)*((a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)/(a^24*b^3))^(1/4))*a^9*b*((a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)/(a^24*b^3))^(3/8) + sqrt(2)*(a^19*b*d^5 + 5*a^17*b^2*c*d^4 + 10*a^15*b^3*c^2*d^3 + 10*a^13*b^4*c^3*d^2 + 5*a^11*b^5*c^4*d + a^9*b^6*c^5)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*((a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)/(a^24*b^3))^(3/8))/(a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)) - 25*sqrt(2)*(a^5*x^2 - a^3*b)*((a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)/(a^24*b^3))^(1/8)*log(9765625*sqrt(2)*(a^25*b^2*d^5 + 5*a^23*b^3*c*d^4 + 10*a^21*b^4*c^2*d^3 + 10*a^19*b^5*c^3*d^2 + 5*a^17*b^6*c^4*d + a^15*b^7*c^5)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*((a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)/(a^24*b^3))^(5/8) + 9765625*(a^20*d^10 + 10*a^18*b*c*d^9 + 45*a^16*b^2*c^2*d^8 + 120*a^14*b^3*c^3*d^7 + 210*a^12*b^4*c^4*d^6 + 252*a^10*b^5*c^5*d^5 + 210*a^8*b^6*c^6*d^4 + 120*a^6*b^7*c^7*d^3 + 45*a^4*b^8*c^8*d^2 + 10*a^2*b^9*c^9*d + b^10*c^10)*sqrt(a*x + sqrt(a^2*x^2 - b)) + 9765625*(a^22*b*d^8 + 8*a^20*b^2*c*d^7 + 28*a^18*b^3*c^2*d^6 + 56*a^16*b^4*c^3*d^5 + 70*a^14*b^5*c^4*d^4 + 56*a^12*b^6*c^5*d^3 + 28*a^10*b^7*c^6*d^2 + 8*a^8*b^8*c^7*d + a^6*b^9*c^8)*((a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)/(a^24*b^3))^(1/4)) + 25*sqrt(2)*(a^5*x^2 - a^3*b)*((a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)/(a^24*b^3))^(1/8)*log(-9765625*sqrt(2)*(a^25*b^2*d^5 + 5*a^23*b^3*c*d^4 + 10*a^21*b^4*c^2*d^3 + 10*a^19*b^5*c^3*d^2 + 5*a^17*b^6*c^4*d + a^15*b^7*c^5)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*((a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)/(a^24*b^3))^(5/8) + 9765625*(a^20*d^10 + 10*a^18*b*c*d^9 + 45*a^16*b^2*c^2*d^8 + 120*a^14*b^3*c^3*d^7 + 210*a^12*b^4*c^4*d^6 + 252*a^10*b^5*c^5*d^5 + 210*a^8*b^6*c^6*d^4 + 120*a^6*b^7*c^7*d^3 + 45*a^4*b^8*c^8*d^2 + 10*a^2*b^9*c^9*d + b^10*c^10)*sqrt(a*x + sqrt(a^2*x^2 - b)) + 9765625*(a^22*b*d^8 + 8*a^20*b^2*c*d^7 + 28*a^18*b^3*c^2*d^6 + 56*a^16*b^4*c^3*d^5 + 70*a^14*b^5*c^4*d^4 + 56*a^12*b^6*c^5*d^3 + 28*a^10*b^7*c^6*d^2 + 8*a^8*b^8*c^7*d + a^6*b^9*c^8)*((a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)/(a^24*b^3))^(1/4)) - 200*(a^5*x^2 - a^3*b)*((a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)/(a^24*b^3))^(1/8)*arctan((sqrt((a^20*d^10 + 10*a^18*b*c*d^9 + 45*a^16*b^2*c^2*d^8 + 120*a^14*b^3*c^3*d^7 + 210*a^12*b^4*c^4*d^6 + 252*a^10*b^5*c^5*d^5 + 210*a^8*b^6*c^6*d^4 + 120*a^6*b^7*c^7*d^3 + 45*a^4*b^8*c^8*d^2 + 10*a^2*b^9*c^9*d + b^10*c^10)*sqrt(a*x + sqrt(a^2*x^2 - b)) + (a^22*b*d^8 + 8*a^20*b^2*c*d^7 + 28*a^18*b^3*c^2*d^6 + 56*a^16*b^4*c^3*d^5 + 70*a^14*b^5*c^4*d^4 + 56*a^12*b^6*c^5*d^3 + 28*a^10*b^7*c^6*d^2 + 8*a^8*b^8*c^7*d + a^6*b^9*c^8)*((a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)/(a^24*b^3))^(1/4))*a^9*b*((a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)/(a^24*b^3))^(3/8) - (a^19*b*d^5 + 5*a^17*b^2*c*d^4 + 10*a^15*b^3*c^2*d^3 + 10*a^13*b^4*c^3*d^2 + 5*a^11*b^5*c^4*d + a^9*b^6*c^5)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*((a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)/(a^24*b^3))^(3/8))/(a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)) + 50*(a^5*x^2 - a^3*b)*((a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)/(a^24*b^3))^(1/8)*log(3125*a^15*b^2*((a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)/(a^24*b^3))^(5/8) + 3125*(a^10*d^5 + 5*a^8*b*c*d^4 + 10*a^6*b^2*c^2*d^3 + 10*a^4*b^3*c^3*d^2 + 5*a^2*b^4*c^4*d + b^5*c^5)*(a*x + sqrt(a^2*x^2 - b))^(1/4)) - 50*(a^5*x^2 - a^3*b)*((a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)/(a^24*b^3))^(1/8)*log(-3125*a^15*b^2*((a^16*d^8 + 8*a^14*b*c*d^7 + 28*a^12*b^2*c^2*d^6 + 56*a^10*b^3*c^3*d^5 + 70*a^8*b^4*c^4*d^4 + 56*a^6*b^5*c^5*d^3 + 28*a^4*b^6*c^6*d^2 + 8*a^2*b^7*c^7*d + b^8*c^8)/(a^24*b^3))^(5/8) + 3125*(a^10*d^5 + 5*a^8*b*c*d^4 + 10*a^6*b^2*c^2*d^3 + 10*a^4*b^3*c^3*d^2 + 5*a^2*b^4*c^4*d + b^5*c^5)*(a*x + sqrt(a^2*x^2 - b))^(1/4)) - 8*(4*a^3*c*x^3 - 4*a*b*c*x + (4*a^2*c*x^2 - 5*a^2*d - 9*b*c)*sqrt(a^2*x^2 - b))*(a*x + sqrt(a^2*x^2 - b))^(1/4))/(a^5*x^2 - a^3*b)","B",0
2983,-1,0,0,0.000000," ","integrate((a*x^2-b)*(x^3-x)^(1/3)/(c*x^2-d),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2984,-1,0,0,0.000000," ","integrate((-a*b+(2*a-b)*x)*(a^2-2*a*x+x^2)/(x*(-a+x)*(-b+x))^(1/3)/(a^4*d-4*a^3*d*x+(6*a^2*d-b^2)*x^2+2*(-2*a*d+b)*x^3+(-1+d)*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2985,1,8984,0,4.959912," ","integrate((d*x+b)/x^4/((a*x+b)/(c*x+d))^(1/4),x, algorithm=""fricas"")","-\frac{12 \, b^{2} d^{2} x^{3} \left(\frac{2401 \, b^{12} c^{12} + 4116 \, a b^{11} c^{11} d + 160000 \, a^{8} d^{16} - 32000 \, {\left(15 \, a^{9} + 8 \, a^{7} b c\right)} d^{15} + 800 \, {\left(675 \, a^{10} + 920 \, a^{8} b c - 288 \, a^{6} b^{2} c^{2}\right)} d^{14} - 80 \, {\left(3375 \, a^{11} + 9900 \, a^{9} b c - 6720 \, a^{7} b^{2} c^{2} - 5248 \, a^{5} b^{3} c^{3}\right)} d^{13} + {\left(50625 \, a^{12} + 378000 \, a^{10} b c - 429600 \, a^{8} b^{2} c^{2} - 762880 \, a^{6} b^{3} c^{3} + 165376 \, a^{4} b^{4} c^{4}\right)} d^{12} - 4 \, {\left(16875 \, a^{11} b c - 31500 \, a^{9} b^{2} c^{2} - 81600 \, a^{7} b^{3} c^{3} + 138880 \, a^{5} b^{4} c^{4} + 62976 \, a^{3} b^{5} c^{5}\right)} d^{11} - 2 \, {\left(3375 \, a^{10} b^{2} c^{2} - 44600 \, a^{8} b^{3} c^{3} - 359520 \, a^{6} b^{4} c^{4} - 85248 \, a^{4} b^{5} c^{5} + 41472 \, a^{2} b^{6} c^{6}\right)} d^{10} - 4 \, {\left(15375 \, a^{9} b^{3} c^{3} + 105400 \, a^{7} b^{4} c^{4} - 48480 \, a^{5} b^{5} c^{5} - 104704 \, a^{3} b^{6} c^{6} - 13824 \, a b^{7} c^{7}\right)} d^{9} + {\left(93775 \, a^{8} b^{4} c^{4} - 159840 \, a^{6} b^{5} c^{5} - 423744 \, a^{4} b^{6} c^{6} + 101376 \, a^{2} b^{7} c^{7} + 20736 \, b^{8} c^{8}\right)} d^{8} + 24 \, {\left(775 \, a^{7} b^{5} c^{5} + 3140 \, a^{5} b^{6} c^{6} - 10976 \, a^{3} b^{7} c^{7} - 4896 \, a b^{8} c^{8}\right)} d^{7} + 4 \, {\left(7895 \, a^{6} b^{6} c^{6} + 45624 \, a^{4} b^{7} c^{7} - 1416 \, a^{2} b^{8} c^{8} - 12096 \, b^{9} c^{9}\right)} d^{6} - 24 \, {\left(2025 \, a^{5} b^{7} c^{7} - 3334 \, a^{3} b^{8} c^{8} - 3864 \, a b^{9} c^{9}\right)} d^{5} - {\left(15249 \, a^{4} b^{8} c^{8} + 31024 \, a^{2} b^{9} c^{9} - 42336 \, b^{10} c^{10}\right)} d^{4} - 28 \, {\left(393 \, a^{3} b^{9} c^{9} + 1148 \, a b^{10} c^{10}\right)} d^{3} + 98 \, {\left(97 \, a^{2} b^{10} c^{10} - 168 \, b^{11} c^{11}\right)} d^{2}}{b^{9} d^{11}}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{{\left(117649 \, b^{18} c^{18} + 302526 \, a b^{17} c^{17} d + 64000000 \, a^{12} d^{24} - 19200000 \, {\left(15 \, a^{13} + 8 \, a^{11} b c\right)} d^{23} + 2400000 \, {\left(225 \, a^{14} + 280 \, a^{12} b c - 32 \, a^{10} b^{2} c^{2}\right)} d^{22} - 160000 \, {\left(3375 \, a^{15} + 7650 \, a^{13} b c - 1680 \, a^{11} b^{2} c^{2} - 2368 \, a^{9} b^{3} c^{3}\right)} d^{21} + 6000 \, {\left(50625 \, a^{16} + 198000 \, a^{14} b c - 59600 \, a^{12} b^{2} c^{2} - 218880 \, a^{10} b^{3} c^{3} + 256 \, a^{8} b^{4} c^{4}\right)} d^{20} - 120 \, {\left(759375 \, a^{17} + 5400000 \, a^{15} b c - 1740000 \, a^{13} b^{2} c^{2} - 14608000 \, a^{11} b^{3} c^{3} + 1619200 \, a^{9} b^{4} c^{4} + 3411968 \, a^{7} b^{5} c^{5}\right)} d^{19} + {\left(11390625 \, a^{18} + 188325000 \, a^{16} b c - 32400000 \, a^{14} b^{2} c^{2} - 1068640000 \, a^{12} b^{3} c^{3} + 718944000 \, a^{10} b^{4} c^{4} + 1158789120 \, a^{8} b^{5} c^{5} + 26066944 \, a^{6} b^{6} c^{6}\right)} d^{18} - 6 \, {\left(3796875 \, a^{17} b c + 2700000 \, a^{15} b^{2} c^{2} - 38400000 \, a^{13} b^{3} c^{3} + 179920000 \, a^{11} b^{4} c^{4} + 202016000 \, a^{9} b^{5} c^{5} - 68751360 \, a^{7} b^{6} c^{6} - 40943616 \, a^{5} b^{7} c^{7}\right)} d^{17} + 3 \, {\left(1771875 \, a^{16} b^{2} c^{2} + 12600000 \, a^{14} b^{3} c^{3} + 271640000 \, a^{12} b^{4} c^{4} + 187488000 \, a^{10} b^{5} c^{5} - 441555200 \, a^{8} b^{6} c^{6} - 190455808 \, a^{6} b^{7} c^{7} + 184320 \, a^{4} b^{8} c^{8}\right)} d^{16} - 16 \, {\left(1096875 \, a^{15} b^{3} c^{3} + 19293750 \, a^{13} b^{4} c^{4} + 7500000 \, a^{11} b^{5} c^{5} - 91234000 \, a^{9} b^{6} c^{6} - 21033600 \, a^{7} b^{7} c^{7} + 28212096 \, a^{5} b^{8} c^{8} + 5114880 \, a^{3} b^{9} c^{9}\right)} d^{15} + 60 \, {\left(781875 \, a^{14} b^{4} c^{4} + 433000 \, a^{12} b^{5} c^{5} - 11277600 \, a^{10} b^{6} c^{6} + 3939520 \, a^{8} b^{7} c^{7} + 16628416 \, a^{6} b^{8} c^{8} + 2025984 \, a^{4} b^{9} c^{9} - 165888 \, a^{2} b^{10} c^{10}\right)} d^{14} - 24 \, {\left(328125 \, a^{13} b^{5} c^{5} - 4055000 \, a^{11} b^{6} c^{6} + 17584000 \, a^{9} b^{7} c^{7} + 31071200 \, a^{7} b^{8} c^{8} - 9901760 \, a^{5} b^{9} c^{9} - 9008640 \, a^{3} b^{10} c^{10} - 497664 \, a b^{11} c^{11}\right)} d^{13} + 4 \, {\left(2100625 \, a^{12} b^{6} c^{6} + 55086000 \, a^{10} b^{7} c^{7} + 50212200 \, a^{8} b^{8} c^{8} - 153101120 \, a^{6} b^{9} c^{9} - 76238400 \, a^{4} b^{10} c^{10} + 4561920 \, a^{2} b^{11} c^{11} + 746496 \, b^{12} c^{12}\right)} d^{12} - 48 \, {\left(879375 \, a^{11} b^{7} c^{7} + 277625 \, a^{9} b^{8} c^{8} - 9199200 \, a^{7} b^{9} c^{9} - 1007760 \, a^{5} b^{10} c^{10} + 4747200 \, a^{3} b^{11} c^{11} + 819072 \, a b^{12} c^{12}\right)} d^{11} + 6 \, {\left(492125 \, a^{10} b^{8} c^{8} - 17593400 \, a^{8} b^{9} c^{9} + 22208960 \, a^{6} b^{10} c^{10} + 48540800 \, a^{4} b^{11} c^{11} - 259200 \, a^{2} b^{12} c^{12} - 1741824 \, b^{13} c^{13}\right)} d^{10} - 20 \, {\left(15975 \, a^{9} b^{9} c^{9} + 4653552 \, a^{7} b^{10} c^{10} + 5058048 \, a^{5} b^{11} c^{11} - 6051520 \, a^{3} b^{12} c^{12} - 2685312 \, a b^{13} c^{13}\right)} d^{9} + 6 \, {\left(3566605 \, a^{8} b^{10} c^{10} - 379744 \, a^{6} b^{11} c^{11} - 21549600 \, a^{4} b^{12} c^{12} - 3158400 \, a^{2} b^{13} c^{13} + 2540160 \, b^{14} c^{14}\right)} d^{8} + 48 \, {\left(28305 \, a^{7} b^{11} c^{11} + 869438 \, a^{5} b^{12} c^{12} - 700000 \, a^{3} b^{13} c^{13} - 811440 \, a b^{14} c^{14}\right)} d^{7} - 4 \, {\left(103199 \, a^{6} b^{12} c^{12} - 6265560 \, a^{4} b^{13} c^{13} - 4351200 \, a^{2} b^{14} c^{14} + 2963520 \, b^{15} c^{15}\right)} d^{6} - 168 \, {\left(37083 \, a^{5} b^{13} c^{13} - 27160 \, a^{3} b^{14} c^{14} - 94080 \, a b^{15} c^{15}\right)} d^{5} - 2940 \, {\left(461 \, a^{4} b^{14} c^{14} + 2128 \, a^{2} b^{15} c^{15} - 1764 \, b^{16} c^{16}\right)} d^{4} - 8232 \, {\left(30 \, a^{3} b^{15} c^{15} + 413 \, a b^{16} c^{16}\right)} d^{3} + 7203 \, {\left(115 \, a^{2} b^{16} c^{16} - 168 \, b^{17} c^{17}\right)} d^{2}\right)} \sqrt{\frac{a x + b}{c x + d}} + {\left(2401 \, b^{17} c^{12} d^{5} + 4116 \, a b^{16} c^{11} d^{6} + 160000 \, a^{8} b^{5} d^{21} - 32000 \, {\left(15 \, a^{9} b^{5} + 8 \, a^{7} b^{6} c\right)} d^{20} + 800 \, {\left(675 \, a^{10} b^{5} + 920 \, a^{8} b^{6} c - 288 \, a^{6} b^{7} c^{2}\right)} d^{19} - 80 \, {\left(3375 \, a^{11} b^{5} + 9900 \, a^{9} b^{6} c - 6720 \, a^{7} b^{7} c^{2} - 5248 \, a^{5} b^{8} c^{3}\right)} d^{18} + {\left(50625 \, a^{12} b^{5} + 378000 \, a^{10} b^{6} c - 429600 \, a^{8} b^{7} c^{2} - 762880 \, a^{6} b^{8} c^{3} + 165376 \, a^{4} b^{9} c^{4}\right)} d^{17} - 4 \, {\left(16875 \, a^{11} b^{6} c - 31500 \, a^{9} b^{7} c^{2} - 81600 \, a^{7} b^{8} c^{3} + 138880 \, a^{5} b^{9} c^{4} + 62976 \, a^{3} b^{10} c^{5}\right)} d^{16} - 2 \, {\left(3375 \, a^{10} b^{7} c^{2} - 44600 \, a^{8} b^{8} c^{3} - 359520 \, a^{6} b^{9} c^{4} - 85248 \, a^{4} b^{10} c^{5} + 41472 \, a^{2} b^{11} c^{6}\right)} d^{15} - 4 \, {\left(15375 \, a^{9} b^{8} c^{3} + 105400 \, a^{7} b^{9} c^{4} - 48480 \, a^{5} b^{10} c^{5} - 104704 \, a^{3} b^{11} c^{6} - 13824 \, a b^{12} c^{7}\right)} d^{14} + {\left(93775 \, a^{8} b^{9} c^{4} - 159840 \, a^{6} b^{10} c^{5} - 423744 \, a^{4} b^{11} c^{6} + 101376 \, a^{2} b^{12} c^{7} + 20736 \, b^{13} c^{8}\right)} d^{13} + 24 \, {\left(775 \, a^{7} b^{10} c^{5} + 3140 \, a^{5} b^{11} c^{6} - 10976 \, a^{3} b^{12} c^{7} - 4896 \, a b^{13} c^{8}\right)} d^{12} + 4 \, {\left(7895 \, a^{6} b^{11} c^{6} + 45624 \, a^{4} b^{12} c^{7} - 1416 \, a^{2} b^{13} c^{8} - 12096 \, b^{14} c^{9}\right)} d^{11} - 24 \, {\left(2025 \, a^{5} b^{12} c^{7} - 3334 \, a^{3} b^{13} c^{8} - 3864 \, a b^{14} c^{9}\right)} d^{10} - {\left(15249 \, a^{4} b^{13} c^{8} + 31024 \, a^{2} b^{14} c^{9} - 42336 \, b^{15} c^{10}\right)} d^{9} - 28 \, {\left(393 \, a^{3} b^{14} c^{9} + 1148 \, a b^{15} c^{10}\right)} d^{8} + 98 \, {\left(97 \, a^{2} b^{15} c^{10} - 168 \, b^{16} c^{11}\right)} d^{7}\right)} \sqrt{\frac{2401 \, b^{12} c^{12} + 4116 \, a b^{11} c^{11} d + 160000 \, a^{8} d^{16} - 32000 \, {\left(15 \, a^{9} + 8 \, a^{7} b c\right)} d^{15} + 800 \, {\left(675 \, a^{10} + 920 \, a^{8} b c - 288 \, a^{6} b^{2} c^{2}\right)} d^{14} - 80 \, {\left(3375 \, a^{11} + 9900 \, a^{9} b c - 6720 \, a^{7} b^{2} c^{2} - 5248 \, a^{5} b^{3} c^{3}\right)} d^{13} + {\left(50625 \, a^{12} + 378000 \, a^{10} b c - 429600 \, a^{8} b^{2} c^{2} - 762880 \, a^{6} b^{3} c^{3} + 165376 \, a^{4} b^{4} c^{4}\right)} d^{12} - 4 \, {\left(16875 \, a^{11} b c - 31500 \, a^{9} b^{2} c^{2} - 81600 \, a^{7} b^{3} c^{3} + 138880 \, a^{5} b^{4} c^{4} + 62976 \, a^{3} b^{5} c^{5}\right)} d^{11} - 2 \, {\left(3375 \, a^{10} b^{2} c^{2} - 44600 \, a^{8} b^{3} c^{3} - 359520 \, a^{6} b^{4} c^{4} - 85248 \, a^{4} b^{5} c^{5} + 41472 \, a^{2} b^{6} c^{6}\right)} d^{10} - 4 \, {\left(15375 \, a^{9} b^{3} c^{3} + 105400 \, a^{7} b^{4} c^{4} - 48480 \, a^{5} b^{5} c^{5} - 104704 \, a^{3} b^{6} c^{6} - 13824 \, a b^{7} c^{7}\right)} d^{9} + {\left(93775 \, a^{8} b^{4} c^{4} - 159840 \, a^{6} b^{5} c^{5} - 423744 \, a^{4} b^{6} c^{6} + 101376 \, a^{2} b^{7} c^{7} + 20736 \, b^{8} c^{8}\right)} d^{8} + 24 \, {\left(775 \, a^{7} b^{5} c^{5} + 3140 \, a^{5} b^{6} c^{6} - 10976 \, a^{3} b^{7} c^{7} - 4896 \, a b^{8} c^{8}\right)} d^{7} + 4 \, {\left(7895 \, a^{6} b^{6} c^{6} + 45624 \, a^{4} b^{7} c^{7} - 1416 \, a^{2} b^{8} c^{8} - 12096 \, b^{9} c^{9}\right)} d^{6} - 24 \, {\left(2025 \, a^{5} b^{7} c^{7} - 3334 \, a^{3} b^{8} c^{8} - 3864 \, a b^{9} c^{9}\right)} d^{5} - {\left(15249 \, a^{4} b^{8} c^{8} + 31024 \, a^{2} b^{9} c^{9} - 42336 \, b^{10} c^{10}\right)} d^{4} - 28 \, {\left(393 \, a^{3} b^{9} c^{9} + 1148 \, a b^{10} c^{10}\right)} d^{3} + 98 \, {\left(97 \, a^{2} b^{10} c^{10} - 168 \, b^{11} c^{11}\right)} d^{2}}{b^{9} d^{11}}}} b^{2} d^{3} \left(\frac{2401 \, b^{12} c^{12} + 4116 \, a b^{11} c^{11} d + 160000 \, a^{8} d^{16} - 32000 \, {\left(15 \, a^{9} + 8 \, a^{7} b c\right)} d^{15} + 800 \, {\left(675 \, a^{10} + 920 \, a^{8} b c - 288 \, a^{6} b^{2} c^{2}\right)} d^{14} - 80 \, {\left(3375 \, a^{11} + 9900 \, a^{9} b c - 6720 \, a^{7} b^{2} c^{2} - 5248 \, a^{5} b^{3} c^{3}\right)} d^{13} + {\left(50625 \, a^{12} + 378000 \, a^{10} b c - 429600 \, a^{8} b^{2} c^{2} - 762880 \, a^{6} b^{3} c^{3} + 165376 \, a^{4} b^{4} c^{4}\right)} d^{12} - 4 \, {\left(16875 \, a^{11} b c - 31500 \, a^{9} b^{2} c^{2} - 81600 \, a^{7} b^{3} c^{3} + 138880 \, a^{5} b^{4} c^{4} + 62976 \, a^{3} b^{5} c^{5}\right)} d^{11} - 2 \, {\left(3375 \, a^{10} b^{2} c^{2} - 44600 \, a^{8} b^{3} c^{3} - 359520 \, a^{6} b^{4} c^{4} - 85248 \, a^{4} b^{5} c^{5} + 41472 \, a^{2} b^{6} c^{6}\right)} d^{10} - 4 \, {\left(15375 \, a^{9} b^{3} c^{3} + 105400 \, a^{7} b^{4} c^{4} - 48480 \, a^{5} b^{5} c^{5} - 104704 \, a^{3} b^{6} c^{6} - 13824 \, a b^{7} c^{7}\right)} d^{9} + {\left(93775 \, a^{8} b^{4} c^{4} - 159840 \, a^{6} b^{5} c^{5} - 423744 \, a^{4} b^{6} c^{6} + 101376 \, a^{2} b^{7} c^{7} + 20736 \, b^{8} c^{8}\right)} d^{8} + 24 \, {\left(775 \, a^{7} b^{5} c^{5} + 3140 \, a^{5} b^{6} c^{6} - 10976 \, a^{3} b^{7} c^{7} - 4896 \, a b^{8} c^{8}\right)} d^{7} + 4 \, {\left(7895 \, a^{6} b^{6} c^{6} + 45624 \, a^{4} b^{7} c^{7} - 1416 \, a^{2} b^{8} c^{8} - 12096 \, b^{9} c^{9}\right)} d^{6} - 24 \, {\left(2025 \, a^{5} b^{7} c^{7} - 3334 \, a^{3} b^{8} c^{8} - 3864 \, a b^{9} c^{9}\right)} d^{5} - {\left(15249 \, a^{4} b^{8} c^{8} + 31024 \, a^{2} b^{9} c^{9} - 42336 \, b^{10} c^{10}\right)} d^{4} - 28 \, {\left(393 \, a^{3} b^{9} c^{9} + 1148 \, a b^{10} c^{10}\right)} d^{3} + 98 \, {\left(97 \, a^{2} b^{10} c^{10} - 168 \, b^{11} c^{11}\right)} d^{2}}{b^{9} d^{11}}\right)^{\frac{1}{4}} - {\left(343 \, b^{11} c^{9} d^{3} + 441 \, a b^{10} c^{8} d^{4} + 8000 \, a^{6} b^{2} d^{15} - 1200 \, {\left(15 \, a^{7} b^{2} + 8 \, a^{5} b^{3} c\right)} d^{14} + 60 \, {\left(225 \, a^{8} b^{2} + 340 \, a^{6} b^{3} c - 176 \, a^{4} b^{4} c^{2}\right)} d^{13} - {\left(3375 \, a^{9} b^{2} + 14400 \, a^{7} b^{3} c - 17520 \, a^{5} b^{4} c^{2} - 11008 \, a^{3} b^{5} c^{3}\right)} d^{12} + 3 \, {\left(1125 \, a^{8} b^{3} c - 2800 \, a^{6} b^{4} c^{2} - 3120 \, a^{4} b^{5} c^{3} + 2112 \, a^{2} b^{6} c^{4}\right)} d^{11} + 12 \, {\left(75 \, a^{7} b^{4} c^{2} - 320 \, a^{5} b^{5} c^{3} - 1172 \, a^{3} b^{6} c^{4} - 288 \, a b^{7} c^{5}\right)} d^{10} + 4 \, {\left(875 \, a^{6} b^{5} c^{3} + 2850 \, a^{4} b^{6} c^{4} - 1212 \, a^{2} b^{7} c^{5} - 432 \, b^{8} c^{6}\right)} d^{9} - 222 \, {\left(15 \, a^{5} b^{6} c^{4} - 32 \, a^{3} b^{7} c^{5} - 24 \, a b^{8} c^{6}\right)} d^{8} - 6 \, {\left(205 \, a^{4} b^{7} c^{5} + 152 \, a^{2} b^{8} c^{6} - 504 \, b^{9} c^{7}\right)} d^{7} - 12 \, {\left(129 \, a^{3} b^{8} c^{6} + 224 \, a b^{9} c^{7}\right)} d^{6} + 84 \, {\left(11 \, a^{2} b^{9} c^{7} - 21 \, b^{10} c^{8}\right)} d^{5}\right)} \left(\frac{a x + b}{c x + d}\right)^{\frac{1}{4}} \left(\frac{2401 \, b^{12} c^{12} + 4116 \, a b^{11} c^{11} d + 160000 \, a^{8} d^{16} - 32000 \, {\left(15 \, a^{9} + 8 \, a^{7} b c\right)} d^{15} + 800 \, {\left(675 \, a^{10} + 920 \, a^{8} b c - 288 \, a^{6} b^{2} c^{2}\right)} d^{14} - 80 \, {\left(3375 \, a^{11} + 9900 \, a^{9} b c - 6720 \, a^{7} b^{2} c^{2} - 5248 \, a^{5} b^{3} c^{3}\right)} d^{13} + {\left(50625 \, a^{12} + 378000 \, a^{10} b c - 429600 \, a^{8} b^{2} c^{2} - 762880 \, a^{6} b^{3} c^{3} + 165376 \, a^{4} b^{4} c^{4}\right)} d^{12} - 4 \, {\left(16875 \, a^{11} b c - 31500 \, a^{9} b^{2} c^{2} - 81600 \, a^{7} b^{3} c^{3} + 138880 \, a^{5} b^{4} c^{4} + 62976 \, a^{3} b^{5} c^{5}\right)} d^{11} - 2 \, {\left(3375 \, a^{10} b^{2} c^{2} - 44600 \, a^{8} b^{3} c^{3} - 359520 \, a^{6} b^{4} c^{4} - 85248 \, a^{4} b^{5} c^{5} + 41472 \, a^{2} b^{6} c^{6}\right)} d^{10} - 4 \, {\left(15375 \, a^{9} b^{3} c^{3} + 105400 \, a^{7} b^{4} c^{4} - 48480 \, a^{5} b^{5} c^{5} - 104704 \, a^{3} b^{6} c^{6} - 13824 \, a b^{7} c^{7}\right)} d^{9} + {\left(93775 \, a^{8} b^{4} c^{4} - 159840 \, a^{6} b^{5} c^{5} - 423744 \, a^{4} b^{6} c^{6} + 101376 \, a^{2} b^{7} c^{7} + 20736 \, b^{8} c^{8}\right)} d^{8} + 24 \, {\left(775 \, a^{7} b^{5} c^{5} + 3140 \, a^{5} b^{6} c^{6} - 10976 \, a^{3} b^{7} c^{7} - 4896 \, a b^{8} c^{8}\right)} d^{7} + 4 \, {\left(7895 \, a^{6} b^{6} c^{6} + 45624 \, a^{4} b^{7} c^{7} - 1416 \, a^{2} b^{8} c^{8} - 12096 \, b^{9} c^{9}\right)} d^{6} - 24 \, {\left(2025 \, a^{5} b^{7} c^{7} - 3334 \, a^{3} b^{8} c^{8} - 3864 \, a b^{9} c^{9}\right)} d^{5} - {\left(15249 \, a^{4} b^{8} c^{8} + 31024 \, a^{2} b^{9} c^{9} - 42336 \, b^{10} c^{10}\right)} d^{4} - 28 \, {\left(393 \, a^{3} b^{9} c^{9} + 1148 \, a b^{10} c^{10}\right)} d^{3} + 98 \, {\left(97 \, a^{2} b^{10} c^{10} - 168 \, b^{11} c^{11}\right)} d^{2}}{b^{9} d^{11}}\right)^{\frac{1}{4}}}{2401 \, b^{12} c^{12} + 4116 \, a b^{11} c^{11} d + 160000 \, a^{8} d^{16} - 32000 \, {\left(15 \, a^{9} + 8 \, a^{7} b c\right)} d^{15} + 800 \, {\left(675 \, a^{10} + 920 \, a^{8} b c - 288 \, a^{6} b^{2} c^{2}\right)} d^{14} - 80 \, {\left(3375 \, a^{11} + 9900 \, a^{9} b c - 6720 \, a^{7} b^{2} c^{2} - 5248 \, a^{5} b^{3} c^{3}\right)} d^{13} + {\left(50625 \, a^{12} + 378000 \, a^{10} b c - 429600 \, a^{8} b^{2} c^{2} - 762880 \, a^{6} b^{3} c^{3} + 165376 \, a^{4} b^{4} c^{4}\right)} d^{12} - 4 \, {\left(16875 \, a^{11} b c - 31500 \, a^{9} b^{2} c^{2} - 81600 \, a^{7} b^{3} c^{3} + 138880 \, a^{5} b^{4} c^{4} + 62976 \, a^{3} b^{5} c^{5}\right)} d^{11} - 2 \, {\left(3375 \, a^{10} b^{2} c^{2} - 44600 \, a^{8} b^{3} c^{3} - 359520 \, a^{6} b^{4} c^{4} - 85248 \, a^{4} b^{5} c^{5} + 41472 \, a^{2} b^{6} c^{6}\right)} d^{10} - 4 \, {\left(15375 \, a^{9} b^{3} c^{3} + 105400 \, a^{7} b^{4} c^{4} - 48480 \, a^{5} b^{5} c^{5} - 104704 \, a^{3} b^{6} c^{6} - 13824 \, a b^{7} c^{7}\right)} d^{9} + {\left(93775 \, a^{8} b^{4} c^{4} - 159840 \, a^{6} b^{5} c^{5} - 423744 \, a^{4} b^{6} c^{6} + 101376 \, a^{2} b^{7} c^{7} + 20736 \, b^{8} c^{8}\right)} d^{8} + 24 \, {\left(775 \, a^{7} b^{5} c^{5} + 3140 \, a^{5} b^{6} c^{6} - 10976 \, a^{3} b^{7} c^{7} - 4896 \, a b^{8} c^{8}\right)} d^{7} + 4 \, {\left(7895 \, a^{6} b^{6} c^{6} + 45624 \, a^{4} b^{7} c^{7} - 1416 \, a^{2} b^{8} c^{8} - 12096 \, b^{9} c^{9}\right)} d^{6} - 24 \, {\left(2025 \, a^{5} b^{7} c^{7} - 3334 \, a^{3} b^{8} c^{8} - 3864 \, a b^{9} c^{9}\right)} d^{5} - {\left(15249 \, a^{4} b^{8} c^{8} + 31024 \, a^{2} b^{9} c^{9} - 42336 \, b^{10} c^{10}\right)} d^{4} - 28 \, {\left(393 \, a^{3} b^{9} c^{9} + 1148 \, a b^{10} c^{10}\right)} d^{3} + 98 \, {\left(97 \, a^{2} b^{10} c^{10} - 168 \, b^{11} c^{11}\right)} d^{2}}\right) + 3 \, b^{2} d^{2} x^{3} \left(\frac{2401 \, b^{12} c^{12} + 4116 \, a b^{11} c^{11} d + 160000 \, a^{8} d^{16} - 32000 \, {\left(15 \, a^{9} + 8 \, a^{7} b c\right)} d^{15} + 800 \, {\left(675 \, a^{10} + 920 \, a^{8} b c - 288 \, a^{6} b^{2} c^{2}\right)} d^{14} - 80 \, {\left(3375 \, a^{11} + 9900 \, a^{9} b c - 6720 \, a^{7} b^{2} c^{2} - 5248 \, a^{5} b^{3} c^{3}\right)} d^{13} + {\left(50625 \, a^{12} + 378000 \, a^{10} b c - 429600 \, a^{8} b^{2} c^{2} - 762880 \, a^{6} b^{3} c^{3} + 165376 \, a^{4} b^{4} c^{4}\right)} d^{12} - 4 \, {\left(16875 \, a^{11} b c - 31500 \, a^{9} b^{2} c^{2} - 81600 \, a^{7} b^{3} c^{3} + 138880 \, a^{5} b^{4} c^{4} + 62976 \, a^{3} b^{5} c^{5}\right)} d^{11} - 2 \, {\left(3375 \, a^{10} b^{2} c^{2} - 44600 \, a^{8} b^{3} c^{3} - 359520 \, a^{6} b^{4} c^{4} - 85248 \, a^{4} b^{5} c^{5} + 41472 \, a^{2} b^{6} c^{6}\right)} d^{10} - 4 \, {\left(15375 \, a^{9} b^{3} c^{3} + 105400 \, a^{7} b^{4} c^{4} - 48480 \, a^{5} b^{5} c^{5} - 104704 \, a^{3} b^{6} c^{6} - 13824 \, a b^{7} c^{7}\right)} d^{9} + {\left(93775 \, a^{8} b^{4} c^{4} - 159840 \, a^{6} b^{5} c^{5} - 423744 \, a^{4} b^{6} c^{6} + 101376 \, a^{2} b^{7} c^{7} + 20736 \, b^{8} c^{8}\right)} d^{8} + 24 \, {\left(775 \, a^{7} b^{5} c^{5} + 3140 \, a^{5} b^{6} c^{6} - 10976 \, a^{3} b^{7} c^{7} - 4896 \, a b^{8} c^{8}\right)} d^{7} + 4 \, {\left(7895 \, a^{6} b^{6} c^{6} + 45624 \, a^{4} b^{7} c^{7} - 1416 \, a^{2} b^{8} c^{8} - 12096 \, b^{9} c^{9}\right)} d^{6} - 24 \, {\left(2025 \, a^{5} b^{7} c^{7} - 3334 \, a^{3} b^{8} c^{8} - 3864 \, a b^{9} c^{9}\right)} d^{5} - {\left(15249 \, a^{4} b^{8} c^{8} + 31024 \, a^{2} b^{9} c^{9} - 42336 \, b^{10} c^{10}\right)} d^{4} - 28 \, {\left(393 \, a^{3} b^{9} c^{9} + 1148 \, a b^{10} c^{10}\right)} d^{3} + 98 \, {\left(97 \, a^{2} b^{10} c^{10} - 168 \, b^{11} c^{11}\right)} d^{2}}{b^{9} d^{11}}\right)^{\frac{1}{4}} \log\left(b^{7} d^{8} \left(\frac{2401 \, b^{12} c^{12} + 4116 \, a b^{11} c^{11} d + 160000 \, a^{8} d^{16} - 32000 \, {\left(15 \, a^{9} + 8 \, a^{7} b c\right)} d^{15} + 800 \, {\left(675 \, a^{10} + 920 \, a^{8} b c - 288 \, a^{6} b^{2} c^{2}\right)} d^{14} - 80 \, {\left(3375 \, a^{11} + 9900 \, a^{9} b c - 6720 \, a^{7} b^{2} c^{2} - 5248 \, a^{5} b^{3} c^{3}\right)} d^{13} + {\left(50625 \, a^{12} + 378000 \, a^{10} b c - 429600 \, a^{8} b^{2} c^{2} - 762880 \, a^{6} b^{3} c^{3} + 165376 \, a^{4} b^{4} c^{4}\right)} d^{12} - 4 \, {\left(16875 \, a^{11} b c - 31500 \, a^{9} b^{2} c^{2} - 81600 \, a^{7} b^{3} c^{3} + 138880 \, a^{5} b^{4} c^{4} + 62976 \, a^{3} b^{5} c^{5}\right)} d^{11} - 2 \, {\left(3375 \, a^{10} b^{2} c^{2} - 44600 \, a^{8} b^{3} c^{3} - 359520 \, a^{6} b^{4} c^{4} - 85248 \, a^{4} b^{5} c^{5} + 41472 \, a^{2} b^{6} c^{6}\right)} d^{10} - 4 \, {\left(15375 \, a^{9} b^{3} c^{3} + 105400 \, a^{7} b^{4} c^{4} - 48480 \, a^{5} b^{5} c^{5} - 104704 \, a^{3} b^{6} c^{6} - 13824 \, a b^{7} c^{7}\right)} d^{9} + {\left(93775 \, a^{8} b^{4} c^{4} - 159840 \, a^{6} b^{5} c^{5} - 423744 \, a^{4} b^{6} c^{6} + 101376 \, a^{2} b^{7} c^{7} + 20736 \, b^{8} c^{8}\right)} d^{8} + 24 \, {\left(775 \, a^{7} b^{5} c^{5} + 3140 \, a^{5} b^{6} c^{6} - 10976 \, a^{3} b^{7} c^{7} - 4896 \, a b^{8} c^{8}\right)} d^{7} + 4 \, {\left(7895 \, a^{6} b^{6} c^{6} + 45624 \, a^{4} b^{7} c^{7} - 1416 \, a^{2} b^{8} c^{8} - 12096 \, b^{9} c^{9}\right)} d^{6} - 24 \, {\left(2025 \, a^{5} b^{7} c^{7} - 3334 \, a^{3} b^{8} c^{8} - 3864 \, a b^{9} c^{9}\right)} d^{5} - {\left(15249 \, a^{4} b^{8} c^{8} + 31024 \, a^{2} b^{9} c^{9} - 42336 \, b^{10} c^{10}\right)} d^{4} - 28 \, {\left(393 \, a^{3} b^{9} c^{9} + 1148 \, a b^{10} c^{10}\right)} d^{3} + 98 \, {\left(97 \, a^{2} b^{10} c^{10} - 168 \, b^{11} c^{11}\right)} d^{2}}{b^{9} d^{11}}\right)^{\frac{3}{4}} + {\left(343 \, b^{9} c^{9} + 441 \, a b^{8} c^{8} d + 8000 \, a^{6} d^{12} - 1200 \, {\left(15 \, a^{7} + 8 \, a^{5} b c\right)} d^{11} + 60 \, {\left(225 \, a^{8} + 340 \, a^{6} b c - 176 \, a^{4} b^{2} c^{2}\right)} d^{10} - {\left(3375 \, a^{9} + 14400 \, a^{7} b c - 17520 \, a^{5} b^{2} c^{2} - 11008 \, a^{3} b^{3} c^{3}\right)} d^{9} + 3 \, {\left(1125 \, a^{8} b c - 2800 \, a^{6} b^{2} c^{2} - 3120 \, a^{4} b^{3} c^{3} + 2112 \, a^{2} b^{4} c^{4}\right)} d^{8} + 12 \, {\left(75 \, a^{7} b^{2} c^{2} - 320 \, a^{5} b^{3} c^{3} - 1172 \, a^{3} b^{4} c^{4} - 288 \, a b^{5} c^{5}\right)} d^{7} + 4 \, {\left(875 \, a^{6} b^{3} c^{3} + 2850 \, a^{4} b^{4} c^{4} - 1212 \, a^{2} b^{5} c^{5} - 432 \, b^{6} c^{6}\right)} d^{6} - 222 \, {\left(15 \, a^{5} b^{4} c^{4} - 32 \, a^{3} b^{5} c^{5} - 24 \, a b^{6} c^{6}\right)} d^{5} - 6 \, {\left(205 \, a^{4} b^{5} c^{5} + 152 \, a^{2} b^{6} c^{6} - 504 \, b^{7} c^{7}\right)} d^{4} - 12 \, {\left(129 \, a^{3} b^{6} c^{6} + 224 \, a b^{7} c^{7}\right)} d^{3} + 84 \, {\left(11 \, a^{2} b^{7} c^{7} - 21 \, b^{8} c^{8}\right)} d^{2}\right)} \left(\frac{a x + b}{c x + d}\right)^{\frac{1}{4}}\right) - 3 \, b^{2} d^{2} x^{3} \left(\frac{2401 \, b^{12} c^{12} + 4116 \, a b^{11} c^{11} d + 160000 \, a^{8} d^{16} - 32000 \, {\left(15 \, a^{9} + 8 \, a^{7} b c\right)} d^{15} + 800 \, {\left(675 \, a^{10} + 920 \, a^{8} b c - 288 \, a^{6} b^{2} c^{2}\right)} d^{14} - 80 \, {\left(3375 \, a^{11} + 9900 \, a^{9} b c - 6720 \, a^{7} b^{2} c^{2} - 5248 \, a^{5} b^{3} c^{3}\right)} d^{13} + {\left(50625 \, a^{12} + 378000 \, a^{10} b c - 429600 \, a^{8} b^{2} c^{2} - 762880 \, a^{6} b^{3} c^{3} + 165376 \, a^{4} b^{4} c^{4}\right)} d^{12} - 4 \, {\left(16875 \, a^{11} b c - 31500 \, a^{9} b^{2} c^{2} - 81600 \, a^{7} b^{3} c^{3} + 138880 \, a^{5} b^{4} c^{4} + 62976 \, a^{3} b^{5} c^{5}\right)} d^{11} - 2 \, {\left(3375 \, a^{10} b^{2} c^{2} - 44600 \, a^{8} b^{3} c^{3} - 359520 \, a^{6} b^{4} c^{4} - 85248 \, a^{4} b^{5} c^{5} + 41472 \, a^{2} b^{6} c^{6}\right)} d^{10} - 4 \, {\left(15375 \, a^{9} b^{3} c^{3} + 105400 \, a^{7} b^{4} c^{4} - 48480 \, a^{5} b^{5} c^{5} - 104704 \, a^{3} b^{6} c^{6} - 13824 \, a b^{7} c^{7}\right)} d^{9} + {\left(93775 \, a^{8} b^{4} c^{4} - 159840 \, a^{6} b^{5} c^{5} - 423744 \, a^{4} b^{6} c^{6} + 101376 \, a^{2} b^{7} c^{7} + 20736 \, b^{8} c^{8}\right)} d^{8} + 24 \, {\left(775 \, a^{7} b^{5} c^{5} + 3140 \, a^{5} b^{6} c^{6} - 10976 \, a^{3} b^{7} c^{7} - 4896 \, a b^{8} c^{8}\right)} d^{7} + 4 \, {\left(7895 \, a^{6} b^{6} c^{6} + 45624 \, a^{4} b^{7} c^{7} - 1416 \, a^{2} b^{8} c^{8} - 12096 \, b^{9} c^{9}\right)} d^{6} - 24 \, {\left(2025 \, a^{5} b^{7} c^{7} - 3334 \, a^{3} b^{8} c^{8} - 3864 \, a b^{9} c^{9}\right)} d^{5} - {\left(15249 \, a^{4} b^{8} c^{8} + 31024 \, a^{2} b^{9} c^{9} - 42336 \, b^{10} c^{10}\right)} d^{4} - 28 \, {\left(393 \, a^{3} b^{9} c^{9} + 1148 \, a b^{10} c^{10}\right)} d^{3} + 98 \, {\left(97 \, a^{2} b^{10} c^{10} - 168 \, b^{11} c^{11}\right)} d^{2}}{b^{9} d^{11}}\right)^{\frac{1}{4}} \log\left(-b^{7} d^{8} \left(\frac{2401 \, b^{12} c^{12} + 4116 \, a b^{11} c^{11} d + 160000 \, a^{8} d^{16} - 32000 \, {\left(15 \, a^{9} + 8 \, a^{7} b c\right)} d^{15} + 800 \, {\left(675 \, a^{10} + 920 \, a^{8} b c - 288 \, a^{6} b^{2} c^{2}\right)} d^{14} - 80 \, {\left(3375 \, a^{11} + 9900 \, a^{9} b c - 6720 \, a^{7} b^{2} c^{2} - 5248 \, a^{5} b^{3} c^{3}\right)} d^{13} + {\left(50625 \, a^{12} + 378000 \, a^{10} b c - 429600 \, a^{8} b^{2} c^{2} - 762880 \, a^{6} b^{3} c^{3} + 165376 \, a^{4} b^{4} c^{4}\right)} d^{12} - 4 \, {\left(16875 \, a^{11} b c - 31500 \, a^{9} b^{2} c^{2} - 81600 \, a^{7} b^{3} c^{3} + 138880 \, a^{5} b^{4} c^{4} + 62976 \, a^{3} b^{5} c^{5}\right)} d^{11} - 2 \, {\left(3375 \, a^{10} b^{2} c^{2} - 44600 \, a^{8} b^{3} c^{3} - 359520 \, a^{6} b^{4} c^{4} - 85248 \, a^{4} b^{5} c^{5} + 41472 \, a^{2} b^{6} c^{6}\right)} d^{10} - 4 \, {\left(15375 \, a^{9} b^{3} c^{3} + 105400 \, a^{7} b^{4} c^{4} - 48480 \, a^{5} b^{5} c^{5} - 104704 \, a^{3} b^{6} c^{6} - 13824 \, a b^{7} c^{7}\right)} d^{9} + {\left(93775 \, a^{8} b^{4} c^{4} - 159840 \, a^{6} b^{5} c^{5} - 423744 \, a^{4} b^{6} c^{6} + 101376 \, a^{2} b^{7} c^{7} + 20736 \, b^{8} c^{8}\right)} d^{8} + 24 \, {\left(775 \, a^{7} b^{5} c^{5} + 3140 \, a^{5} b^{6} c^{6} - 10976 \, a^{3} b^{7} c^{7} - 4896 \, a b^{8} c^{8}\right)} d^{7} + 4 \, {\left(7895 \, a^{6} b^{6} c^{6} + 45624 \, a^{4} b^{7} c^{7} - 1416 \, a^{2} b^{8} c^{8} - 12096 \, b^{9} c^{9}\right)} d^{6} - 24 \, {\left(2025 \, a^{5} b^{7} c^{7} - 3334 \, a^{3} b^{8} c^{8} - 3864 \, a b^{9} c^{9}\right)} d^{5} - {\left(15249 \, a^{4} b^{8} c^{8} + 31024 \, a^{2} b^{9} c^{9} - 42336 \, b^{10} c^{10}\right)} d^{4} - 28 \, {\left(393 \, a^{3} b^{9} c^{9} + 1148 \, a b^{10} c^{10}\right)} d^{3} + 98 \, {\left(97 \, a^{2} b^{10} c^{10} - 168 \, b^{11} c^{11}\right)} d^{2}}{b^{9} d^{11}}\right)^{\frac{3}{4}} + {\left(343 \, b^{9} c^{9} + 441 \, a b^{8} c^{8} d + 8000 \, a^{6} d^{12} - 1200 \, {\left(15 \, a^{7} + 8 \, a^{5} b c\right)} d^{11} + 60 \, {\left(225 \, a^{8} + 340 \, a^{6} b c - 176 \, a^{4} b^{2} c^{2}\right)} d^{10} - {\left(3375 \, a^{9} + 14400 \, a^{7} b c - 17520 \, a^{5} b^{2} c^{2} - 11008 \, a^{3} b^{3} c^{3}\right)} d^{9} + 3 \, {\left(1125 \, a^{8} b c - 2800 \, a^{6} b^{2} c^{2} - 3120 \, a^{4} b^{3} c^{3} + 2112 \, a^{2} b^{4} c^{4}\right)} d^{8} + 12 \, {\left(75 \, a^{7} b^{2} c^{2} - 320 \, a^{5} b^{3} c^{3} - 1172 \, a^{3} b^{4} c^{4} - 288 \, a b^{5} c^{5}\right)} d^{7} + 4 \, {\left(875 \, a^{6} b^{3} c^{3} + 2850 \, a^{4} b^{4} c^{4} - 1212 \, a^{2} b^{5} c^{5} - 432 \, b^{6} c^{6}\right)} d^{6} - 222 \, {\left(15 \, a^{5} b^{4} c^{4} - 32 \, a^{3} b^{5} c^{5} - 24 \, a b^{6} c^{6}\right)} d^{5} - 6 \, {\left(205 \, a^{4} b^{5} c^{5} + 152 \, a^{2} b^{6} c^{6} - 504 \, b^{7} c^{7}\right)} d^{4} - 12 \, {\left(129 \, a^{3} b^{6} c^{6} + 224 \, a b^{7} c^{7}\right)} d^{3} + 84 \, {\left(11 \, a^{2} b^{7} c^{7} - 21 \, b^{8} c^{8}\right)} d^{2}\right)} \left(\frac{a x + b}{c x + d}\right)^{\frac{1}{4}}\right) + 4 \, {\left(32 \, b^{2} d^{3} - {\left(7 \, b^{2} c^{3} + 6 \, a b c^{2} d + 60 \, a c d^{3} - 3 \, {\left(15 \, a^{2} c + 4 \, b c^{2}\right)} d^{2}\right)} x^{3} - 3 \, {\left(b^{2} c^{2} d + 14 \, a b c d^{2} + 20 \, a d^{4} - 5 \, {\left(3 \, a^{2} + 4 \, b c\right)} d^{3}\right)} x^{2} + 12 \, {\left(3 \, b^{2} c d^{2} - 3 \, a b d^{3} + 4 \, b d^{4}\right)} x\right)} \left(\frac{a x + b}{c x + d}\right)^{\frac{3}{4}}}{384 \, b^{2} d^{2} x^{3}}"," ",0,"-1/384*(12*b^2*d^2*x^3*((2401*b^12*c^12 + 4116*a*b^11*c^11*d + 160000*a^8*d^16 - 32000*(15*a^9 + 8*a^7*b*c)*d^15 + 800*(675*a^10 + 920*a^8*b*c - 288*a^6*b^2*c^2)*d^14 - 80*(3375*a^11 + 9900*a^9*b*c - 6720*a^7*b^2*c^2 - 5248*a^5*b^3*c^3)*d^13 + (50625*a^12 + 378000*a^10*b*c - 429600*a^8*b^2*c^2 - 762880*a^6*b^3*c^3 + 165376*a^4*b^4*c^4)*d^12 - 4*(16875*a^11*b*c - 31500*a^9*b^2*c^2 - 81600*a^7*b^3*c^3 + 138880*a^5*b^4*c^4 + 62976*a^3*b^5*c^5)*d^11 - 2*(3375*a^10*b^2*c^2 - 44600*a^8*b^3*c^3 - 359520*a^6*b^4*c^4 - 85248*a^4*b^5*c^5 + 41472*a^2*b^6*c^6)*d^10 - 4*(15375*a^9*b^3*c^3 + 105400*a^7*b^4*c^4 - 48480*a^5*b^5*c^5 - 104704*a^3*b^6*c^6 - 13824*a*b^7*c^7)*d^9 + (93775*a^8*b^4*c^4 - 159840*a^6*b^5*c^5 - 423744*a^4*b^6*c^6 + 101376*a^2*b^7*c^7 + 20736*b^8*c^8)*d^8 + 24*(775*a^7*b^5*c^5 + 3140*a^5*b^6*c^6 - 10976*a^3*b^7*c^7 - 4896*a*b^8*c^8)*d^7 + 4*(7895*a^6*b^6*c^6 + 45624*a^4*b^7*c^7 - 1416*a^2*b^8*c^8 - 12096*b^9*c^9)*d^6 - 24*(2025*a^5*b^7*c^7 - 3334*a^3*b^8*c^8 - 3864*a*b^9*c^9)*d^5 - (15249*a^4*b^8*c^8 + 31024*a^2*b^9*c^9 - 42336*b^10*c^10)*d^4 - 28*(393*a^3*b^9*c^9 + 1148*a*b^10*c^10)*d^3 + 98*(97*a^2*b^10*c^10 - 168*b^11*c^11)*d^2)/(b^9*d^11))^(1/4)*arctan((sqrt((117649*b^18*c^18 + 302526*a*b^17*c^17*d + 64000000*a^12*d^24 - 19200000*(15*a^13 + 8*a^11*b*c)*d^23 + 2400000*(225*a^14 + 280*a^12*b*c - 32*a^10*b^2*c^2)*d^22 - 160000*(3375*a^15 + 7650*a^13*b*c - 1680*a^11*b^2*c^2 - 2368*a^9*b^3*c^3)*d^21 + 6000*(50625*a^16 + 198000*a^14*b*c - 59600*a^12*b^2*c^2 - 218880*a^10*b^3*c^3 + 256*a^8*b^4*c^4)*d^20 - 120*(759375*a^17 + 5400000*a^15*b*c - 1740000*a^13*b^2*c^2 - 14608000*a^11*b^3*c^3 + 1619200*a^9*b^4*c^4 + 3411968*a^7*b^5*c^5)*d^19 + (11390625*a^18 + 188325000*a^16*b*c - 32400000*a^14*b^2*c^2 - 1068640000*a^12*b^3*c^3 + 718944000*a^10*b^4*c^4 + 1158789120*a^8*b^5*c^5 + 26066944*a^6*b^6*c^6)*d^18 - 6*(3796875*a^17*b*c + 2700000*a^15*b^2*c^2 - 38400000*a^13*b^3*c^3 + 179920000*a^11*b^4*c^4 + 202016000*a^9*b^5*c^5 - 68751360*a^7*b^6*c^6 - 40943616*a^5*b^7*c^7)*d^17 + 3*(1771875*a^16*b^2*c^2 + 12600000*a^14*b^3*c^3 + 271640000*a^12*b^4*c^4 + 187488000*a^10*b^5*c^5 - 441555200*a^8*b^6*c^6 - 190455808*a^6*b^7*c^7 + 184320*a^4*b^8*c^8)*d^16 - 16*(1096875*a^15*b^3*c^3 + 19293750*a^13*b^4*c^4 + 7500000*a^11*b^5*c^5 - 91234000*a^9*b^6*c^6 - 21033600*a^7*b^7*c^7 + 28212096*a^5*b^8*c^8 + 5114880*a^3*b^9*c^9)*d^15 + 60*(781875*a^14*b^4*c^4 + 433000*a^12*b^5*c^5 - 11277600*a^10*b^6*c^6 + 3939520*a^8*b^7*c^7 + 16628416*a^6*b^8*c^8 + 2025984*a^4*b^9*c^9 - 165888*a^2*b^10*c^10)*d^14 - 24*(328125*a^13*b^5*c^5 - 4055000*a^11*b^6*c^6 + 17584000*a^9*b^7*c^7 + 31071200*a^7*b^8*c^8 - 9901760*a^5*b^9*c^9 - 9008640*a^3*b^10*c^10 - 497664*a*b^11*c^11)*d^13 + 4*(2100625*a^12*b^6*c^6 + 55086000*a^10*b^7*c^7 + 50212200*a^8*b^8*c^8 - 153101120*a^6*b^9*c^9 - 76238400*a^4*b^10*c^10 + 4561920*a^2*b^11*c^11 + 746496*b^12*c^12)*d^12 - 48*(879375*a^11*b^7*c^7 + 277625*a^9*b^8*c^8 - 9199200*a^7*b^9*c^9 - 1007760*a^5*b^10*c^10 + 4747200*a^3*b^11*c^11 + 819072*a*b^12*c^12)*d^11 + 6*(492125*a^10*b^8*c^8 - 17593400*a^8*b^9*c^9 + 22208960*a^6*b^10*c^10 + 48540800*a^4*b^11*c^11 - 259200*a^2*b^12*c^12 - 1741824*b^13*c^13)*d^10 - 20*(15975*a^9*b^9*c^9 + 4653552*a^7*b^10*c^10 + 5058048*a^5*b^11*c^11 - 6051520*a^3*b^12*c^12 - 2685312*a*b^13*c^13)*d^9 + 6*(3566605*a^8*b^10*c^10 - 379744*a^6*b^11*c^11 - 21549600*a^4*b^12*c^12 - 3158400*a^2*b^13*c^13 + 2540160*b^14*c^14)*d^8 + 48*(28305*a^7*b^11*c^11 + 869438*a^5*b^12*c^12 - 700000*a^3*b^13*c^13 - 811440*a*b^14*c^14)*d^7 - 4*(103199*a^6*b^12*c^12 - 6265560*a^4*b^13*c^13 - 4351200*a^2*b^14*c^14 + 2963520*b^15*c^15)*d^6 - 168*(37083*a^5*b^13*c^13 - 27160*a^3*b^14*c^14 - 94080*a*b^15*c^15)*d^5 - 2940*(461*a^4*b^14*c^14 + 2128*a^2*b^15*c^15 - 1764*b^16*c^16)*d^4 - 8232*(30*a^3*b^15*c^15 + 413*a*b^16*c^16)*d^3 + 7203*(115*a^2*b^16*c^16 - 168*b^17*c^17)*d^2)*sqrt((a*x + b)/(c*x + d)) + (2401*b^17*c^12*d^5 + 4116*a*b^16*c^11*d^6 + 160000*a^8*b^5*d^21 - 32000*(15*a^9*b^5 + 8*a^7*b^6*c)*d^20 + 800*(675*a^10*b^5 + 920*a^8*b^6*c - 288*a^6*b^7*c^2)*d^19 - 80*(3375*a^11*b^5 + 9900*a^9*b^6*c - 6720*a^7*b^7*c^2 - 5248*a^5*b^8*c^3)*d^18 + (50625*a^12*b^5 + 378000*a^10*b^6*c - 429600*a^8*b^7*c^2 - 762880*a^6*b^8*c^3 + 165376*a^4*b^9*c^4)*d^17 - 4*(16875*a^11*b^6*c - 31500*a^9*b^7*c^2 - 81600*a^7*b^8*c^3 + 138880*a^5*b^9*c^4 + 62976*a^3*b^10*c^5)*d^16 - 2*(3375*a^10*b^7*c^2 - 44600*a^8*b^8*c^3 - 359520*a^6*b^9*c^4 - 85248*a^4*b^10*c^5 + 41472*a^2*b^11*c^6)*d^15 - 4*(15375*a^9*b^8*c^3 + 105400*a^7*b^9*c^4 - 48480*a^5*b^10*c^5 - 104704*a^3*b^11*c^6 - 13824*a*b^12*c^7)*d^14 + (93775*a^8*b^9*c^4 - 159840*a^6*b^10*c^5 - 423744*a^4*b^11*c^6 + 101376*a^2*b^12*c^7 + 20736*b^13*c^8)*d^13 + 24*(775*a^7*b^10*c^5 + 3140*a^5*b^11*c^6 - 10976*a^3*b^12*c^7 - 4896*a*b^13*c^8)*d^12 + 4*(7895*a^6*b^11*c^6 + 45624*a^4*b^12*c^7 - 1416*a^2*b^13*c^8 - 12096*b^14*c^9)*d^11 - 24*(2025*a^5*b^12*c^7 - 3334*a^3*b^13*c^8 - 3864*a*b^14*c^9)*d^10 - (15249*a^4*b^13*c^8 + 31024*a^2*b^14*c^9 - 42336*b^15*c^10)*d^9 - 28*(393*a^3*b^14*c^9 + 1148*a*b^15*c^10)*d^8 + 98*(97*a^2*b^15*c^10 - 168*b^16*c^11)*d^7)*sqrt((2401*b^12*c^12 + 4116*a*b^11*c^11*d + 160000*a^8*d^16 - 32000*(15*a^9 + 8*a^7*b*c)*d^15 + 800*(675*a^10 + 920*a^8*b*c - 288*a^6*b^2*c^2)*d^14 - 80*(3375*a^11 + 9900*a^9*b*c - 6720*a^7*b^2*c^2 - 5248*a^5*b^3*c^3)*d^13 + (50625*a^12 + 378000*a^10*b*c - 429600*a^8*b^2*c^2 - 762880*a^6*b^3*c^3 + 165376*a^4*b^4*c^4)*d^12 - 4*(16875*a^11*b*c - 31500*a^9*b^2*c^2 - 81600*a^7*b^3*c^3 + 138880*a^5*b^4*c^4 + 62976*a^3*b^5*c^5)*d^11 - 2*(3375*a^10*b^2*c^2 - 44600*a^8*b^3*c^3 - 359520*a^6*b^4*c^4 - 85248*a^4*b^5*c^5 + 41472*a^2*b^6*c^6)*d^10 - 4*(15375*a^9*b^3*c^3 + 105400*a^7*b^4*c^4 - 48480*a^5*b^5*c^5 - 104704*a^3*b^6*c^6 - 13824*a*b^7*c^7)*d^9 + (93775*a^8*b^4*c^4 - 159840*a^6*b^5*c^5 - 423744*a^4*b^6*c^6 + 101376*a^2*b^7*c^7 + 20736*b^8*c^8)*d^8 + 24*(775*a^7*b^5*c^5 + 3140*a^5*b^6*c^6 - 10976*a^3*b^7*c^7 - 4896*a*b^8*c^8)*d^7 + 4*(7895*a^6*b^6*c^6 + 45624*a^4*b^7*c^7 - 1416*a^2*b^8*c^8 - 12096*b^9*c^9)*d^6 - 24*(2025*a^5*b^7*c^7 - 3334*a^3*b^8*c^8 - 3864*a*b^9*c^9)*d^5 - (15249*a^4*b^8*c^8 + 31024*a^2*b^9*c^9 - 42336*b^10*c^10)*d^4 - 28*(393*a^3*b^9*c^9 + 1148*a*b^10*c^10)*d^3 + 98*(97*a^2*b^10*c^10 - 168*b^11*c^11)*d^2)/(b^9*d^11)))*b^2*d^3*((2401*b^12*c^12 + 4116*a*b^11*c^11*d + 160000*a^8*d^16 - 32000*(15*a^9 + 8*a^7*b*c)*d^15 + 800*(675*a^10 + 920*a^8*b*c - 288*a^6*b^2*c^2)*d^14 - 80*(3375*a^11 + 9900*a^9*b*c - 6720*a^7*b^2*c^2 - 5248*a^5*b^3*c^3)*d^13 + (50625*a^12 + 378000*a^10*b*c - 429600*a^8*b^2*c^2 - 762880*a^6*b^3*c^3 + 165376*a^4*b^4*c^4)*d^12 - 4*(16875*a^11*b*c - 31500*a^9*b^2*c^2 - 81600*a^7*b^3*c^3 + 138880*a^5*b^4*c^4 + 62976*a^3*b^5*c^5)*d^11 - 2*(3375*a^10*b^2*c^2 - 44600*a^8*b^3*c^3 - 359520*a^6*b^4*c^4 - 85248*a^4*b^5*c^5 + 41472*a^2*b^6*c^6)*d^10 - 4*(15375*a^9*b^3*c^3 + 105400*a^7*b^4*c^4 - 48480*a^5*b^5*c^5 - 104704*a^3*b^6*c^6 - 13824*a*b^7*c^7)*d^9 + (93775*a^8*b^4*c^4 - 159840*a^6*b^5*c^5 - 423744*a^4*b^6*c^6 + 101376*a^2*b^7*c^7 + 20736*b^8*c^8)*d^8 + 24*(775*a^7*b^5*c^5 + 3140*a^5*b^6*c^6 - 10976*a^3*b^7*c^7 - 4896*a*b^8*c^8)*d^7 + 4*(7895*a^6*b^6*c^6 + 45624*a^4*b^7*c^7 - 1416*a^2*b^8*c^8 - 12096*b^9*c^9)*d^6 - 24*(2025*a^5*b^7*c^7 - 3334*a^3*b^8*c^8 - 3864*a*b^9*c^9)*d^5 - (15249*a^4*b^8*c^8 + 31024*a^2*b^9*c^9 - 42336*b^10*c^10)*d^4 - 28*(393*a^3*b^9*c^9 + 1148*a*b^10*c^10)*d^3 + 98*(97*a^2*b^10*c^10 - 168*b^11*c^11)*d^2)/(b^9*d^11))^(1/4) - (343*b^11*c^9*d^3 + 441*a*b^10*c^8*d^4 + 8000*a^6*b^2*d^15 - 1200*(15*a^7*b^2 + 8*a^5*b^3*c)*d^14 + 60*(225*a^8*b^2 + 340*a^6*b^3*c - 176*a^4*b^4*c^2)*d^13 - (3375*a^9*b^2 + 14400*a^7*b^3*c - 17520*a^5*b^4*c^2 - 11008*a^3*b^5*c^3)*d^12 + 3*(1125*a^8*b^3*c - 2800*a^6*b^4*c^2 - 3120*a^4*b^5*c^3 + 2112*a^2*b^6*c^4)*d^11 + 12*(75*a^7*b^4*c^2 - 320*a^5*b^5*c^3 - 1172*a^3*b^6*c^4 - 288*a*b^7*c^5)*d^10 + 4*(875*a^6*b^5*c^3 + 2850*a^4*b^6*c^4 - 1212*a^2*b^7*c^5 - 432*b^8*c^6)*d^9 - 222*(15*a^5*b^6*c^4 - 32*a^3*b^7*c^5 - 24*a*b^8*c^6)*d^8 - 6*(205*a^4*b^7*c^5 + 152*a^2*b^8*c^6 - 504*b^9*c^7)*d^7 - 12*(129*a^3*b^8*c^6 + 224*a*b^9*c^7)*d^6 + 84*(11*a^2*b^9*c^7 - 21*b^10*c^8)*d^5)*((a*x + b)/(c*x + d))^(1/4)*((2401*b^12*c^12 + 4116*a*b^11*c^11*d + 160000*a^8*d^16 - 32000*(15*a^9 + 8*a^7*b*c)*d^15 + 800*(675*a^10 + 920*a^8*b*c - 288*a^6*b^2*c^2)*d^14 - 80*(3375*a^11 + 9900*a^9*b*c - 6720*a^7*b^2*c^2 - 5248*a^5*b^3*c^3)*d^13 + (50625*a^12 + 378000*a^10*b*c - 429600*a^8*b^2*c^2 - 762880*a^6*b^3*c^3 + 165376*a^4*b^4*c^4)*d^12 - 4*(16875*a^11*b*c - 31500*a^9*b^2*c^2 - 81600*a^7*b^3*c^3 + 138880*a^5*b^4*c^4 + 62976*a^3*b^5*c^5)*d^11 - 2*(3375*a^10*b^2*c^2 - 44600*a^8*b^3*c^3 - 359520*a^6*b^4*c^4 - 85248*a^4*b^5*c^5 + 41472*a^2*b^6*c^6)*d^10 - 4*(15375*a^9*b^3*c^3 + 105400*a^7*b^4*c^4 - 48480*a^5*b^5*c^5 - 104704*a^3*b^6*c^6 - 13824*a*b^7*c^7)*d^9 + (93775*a^8*b^4*c^4 - 159840*a^6*b^5*c^5 - 423744*a^4*b^6*c^6 + 101376*a^2*b^7*c^7 + 20736*b^8*c^8)*d^8 + 24*(775*a^7*b^5*c^5 + 3140*a^5*b^6*c^6 - 10976*a^3*b^7*c^7 - 4896*a*b^8*c^8)*d^7 + 4*(7895*a^6*b^6*c^6 + 45624*a^4*b^7*c^7 - 1416*a^2*b^8*c^8 - 12096*b^9*c^9)*d^6 - 24*(2025*a^5*b^7*c^7 - 3334*a^3*b^8*c^8 - 3864*a*b^9*c^9)*d^5 - (15249*a^4*b^8*c^8 + 31024*a^2*b^9*c^9 - 42336*b^10*c^10)*d^4 - 28*(393*a^3*b^9*c^9 + 1148*a*b^10*c^10)*d^3 + 98*(97*a^2*b^10*c^10 - 168*b^11*c^11)*d^2)/(b^9*d^11))^(1/4))/(2401*b^12*c^12 + 4116*a*b^11*c^11*d + 160000*a^8*d^16 - 32000*(15*a^9 + 8*a^7*b*c)*d^15 + 800*(675*a^10 + 920*a^8*b*c - 288*a^6*b^2*c^2)*d^14 - 80*(3375*a^11 + 9900*a^9*b*c - 6720*a^7*b^2*c^2 - 5248*a^5*b^3*c^3)*d^13 + (50625*a^12 + 378000*a^10*b*c - 429600*a^8*b^2*c^2 - 762880*a^6*b^3*c^3 + 165376*a^4*b^4*c^4)*d^12 - 4*(16875*a^11*b*c - 31500*a^9*b^2*c^2 - 81600*a^7*b^3*c^3 + 138880*a^5*b^4*c^4 + 62976*a^3*b^5*c^5)*d^11 - 2*(3375*a^10*b^2*c^2 - 44600*a^8*b^3*c^3 - 359520*a^6*b^4*c^4 - 85248*a^4*b^5*c^5 + 41472*a^2*b^6*c^6)*d^10 - 4*(15375*a^9*b^3*c^3 + 105400*a^7*b^4*c^4 - 48480*a^5*b^5*c^5 - 104704*a^3*b^6*c^6 - 13824*a*b^7*c^7)*d^9 + (93775*a^8*b^4*c^4 - 159840*a^6*b^5*c^5 - 423744*a^4*b^6*c^6 + 101376*a^2*b^7*c^7 + 20736*b^8*c^8)*d^8 + 24*(775*a^7*b^5*c^5 + 3140*a^5*b^6*c^6 - 10976*a^3*b^7*c^7 - 4896*a*b^8*c^8)*d^7 + 4*(7895*a^6*b^6*c^6 + 45624*a^4*b^7*c^7 - 1416*a^2*b^8*c^8 - 12096*b^9*c^9)*d^6 - 24*(2025*a^5*b^7*c^7 - 3334*a^3*b^8*c^8 - 3864*a*b^9*c^9)*d^5 - (15249*a^4*b^8*c^8 + 31024*a^2*b^9*c^9 - 42336*b^10*c^10)*d^4 - 28*(393*a^3*b^9*c^9 + 1148*a*b^10*c^10)*d^3 + 98*(97*a^2*b^10*c^10 - 168*b^11*c^11)*d^2)) + 3*b^2*d^2*x^3*((2401*b^12*c^12 + 4116*a*b^11*c^11*d + 160000*a^8*d^16 - 32000*(15*a^9 + 8*a^7*b*c)*d^15 + 800*(675*a^10 + 920*a^8*b*c - 288*a^6*b^2*c^2)*d^14 - 80*(3375*a^11 + 9900*a^9*b*c - 6720*a^7*b^2*c^2 - 5248*a^5*b^3*c^3)*d^13 + (50625*a^12 + 378000*a^10*b*c - 429600*a^8*b^2*c^2 - 762880*a^6*b^3*c^3 + 165376*a^4*b^4*c^4)*d^12 - 4*(16875*a^11*b*c - 31500*a^9*b^2*c^2 - 81600*a^7*b^3*c^3 + 138880*a^5*b^4*c^4 + 62976*a^3*b^5*c^5)*d^11 - 2*(3375*a^10*b^2*c^2 - 44600*a^8*b^3*c^3 - 359520*a^6*b^4*c^4 - 85248*a^4*b^5*c^5 + 41472*a^2*b^6*c^6)*d^10 - 4*(15375*a^9*b^3*c^3 + 105400*a^7*b^4*c^4 - 48480*a^5*b^5*c^5 - 104704*a^3*b^6*c^6 - 13824*a*b^7*c^7)*d^9 + (93775*a^8*b^4*c^4 - 159840*a^6*b^5*c^5 - 423744*a^4*b^6*c^6 + 101376*a^2*b^7*c^7 + 20736*b^8*c^8)*d^8 + 24*(775*a^7*b^5*c^5 + 3140*a^5*b^6*c^6 - 10976*a^3*b^7*c^7 - 4896*a*b^8*c^8)*d^7 + 4*(7895*a^6*b^6*c^6 + 45624*a^4*b^7*c^7 - 1416*a^2*b^8*c^8 - 12096*b^9*c^9)*d^6 - 24*(2025*a^5*b^7*c^7 - 3334*a^3*b^8*c^8 - 3864*a*b^9*c^9)*d^5 - (15249*a^4*b^8*c^8 + 31024*a^2*b^9*c^9 - 42336*b^10*c^10)*d^4 - 28*(393*a^3*b^9*c^9 + 1148*a*b^10*c^10)*d^3 + 98*(97*a^2*b^10*c^10 - 168*b^11*c^11)*d^2)/(b^9*d^11))^(1/4)*log(b^7*d^8*((2401*b^12*c^12 + 4116*a*b^11*c^11*d + 160000*a^8*d^16 - 32000*(15*a^9 + 8*a^7*b*c)*d^15 + 800*(675*a^10 + 920*a^8*b*c - 288*a^6*b^2*c^2)*d^14 - 80*(3375*a^11 + 9900*a^9*b*c - 6720*a^7*b^2*c^2 - 5248*a^5*b^3*c^3)*d^13 + (50625*a^12 + 378000*a^10*b*c - 429600*a^8*b^2*c^2 - 762880*a^6*b^3*c^3 + 165376*a^4*b^4*c^4)*d^12 - 4*(16875*a^11*b*c - 31500*a^9*b^2*c^2 - 81600*a^7*b^3*c^3 + 138880*a^5*b^4*c^4 + 62976*a^3*b^5*c^5)*d^11 - 2*(3375*a^10*b^2*c^2 - 44600*a^8*b^3*c^3 - 359520*a^6*b^4*c^4 - 85248*a^4*b^5*c^5 + 41472*a^2*b^6*c^6)*d^10 - 4*(15375*a^9*b^3*c^3 + 105400*a^7*b^4*c^4 - 48480*a^5*b^5*c^5 - 104704*a^3*b^6*c^6 - 13824*a*b^7*c^7)*d^9 + (93775*a^8*b^4*c^4 - 159840*a^6*b^5*c^5 - 423744*a^4*b^6*c^6 + 101376*a^2*b^7*c^7 + 20736*b^8*c^8)*d^8 + 24*(775*a^7*b^5*c^5 + 3140*a^5*b^6*c^6 - 10976*a^3*b^7*c^7 - 4896*a*b^8*c^8)*d^7 + 4*(7895*a^6*b^6*c^6 + 45624*a^4*b^7*c^7 - 1416*a^2*b^8*c^8 - 12096*b^9*c^9)*d^6 - 24*(2025*a^5*b^7*c^7 - 3334*a^3*b^8*c^8 - 3864*a*b^9*c^9)*d^5 - (15249*a^4*b^8*c^8 + 31024*a^2*b^9*c^9 - 42336*b^10*c^10)*d^4 - 28*(393*a^3*b^9*c^9 + 1148*a*b^10*c^10)*d^3 + 98*(97*a^2*b^10*c^10 - 168*b^11*c^11)*d^2)/(b^9*d^11))^(3/4) + (343*b^9*c^9 + 441*a*b^8*c^8*d + 8000*a^6*d^12 - 1200*(15*a^7 + 8*a^5*b*c)*d^11 + 60*(225*a^8 + 340*a^6*b*c - 176*a^4*b^2*c^2)*d^10 - (3375*a^9 + 14400*a^7*b*c - 17520*a^5*b^2*c^2 - 11008*a^3*b^3*c^3)*d^9 + 3*(1125*a^8*b*c - 2800*a^6*b^2*c^2 - 3120*a^4*b^3*c^3 + 2112*a^2*b^4*c^4)*d^8 + 12*(75*a^7*b^2*c^2 - 320*a^5*b^3*c^3 - 1172*a^3*b^4*c^4 - 288*a*b^5*c^5)*d^7 + 4*(875*a^6*b^3*c^3 + 2850*a^4*b^4*c^4 - 1212*a^2*b^5*c^5 - 432*b^6*c^6)*d^6 - 222*(15*a^5*b^4*c^4 - 32*a^3*b^5*c^5 - 24*a*b^6*c^6)*d^5 - 6*(205*a^4*b^5*c^5 + 152*a^2*b^6*c^6 - 504*b^7*c^7)*d^4 - 12*(129*a^3*b^6*c^6 + 224*a*b^7*c^7)*d^3 + 84*(11*a^2*b^7*c^7 - 21*b^8*c^8)*d^2)*((a*x + b)/(c*x + d))^(1/4)) - 3*b^2*d^2*x^3*((2401*b^12*c^12 + 4116*a*b^11*c^11*d + 160000*a^8*d^16 - 32000*(15*a^9 + 8*a^7*b*c)*d^15 + 800*(675*a^10 + 920*a^8*b*c - 288*a^6*b^2*c^2)*d^14 - 80*(3375*a^11 + 9900*a^9*b*c - 6720*a^7*b^2*c^2 - 5248*a^5*b^3*c^3)*d^13 + (50625*a^12 + 378000*a^10*b*c - 429600*a^8*b^2*c^2 - 762880*a^6*b^3*c^3 + 165376*a^4*b^4*c^4)*d^12 - 4*(16875*a^11*b*c - 31500*a^9*b^2*c^2 - 81600*a^7*b^3*c^3 + 138880*a^5*b^4*c^4 + 62976*a^3*b^5*c^5)*d^11 - 2*(3375*a^10*b^2*c^2 - 44600*a^8*b^3*c^3 - 359520*a^6*b^4*c^4 - 85248*a^4*b^5*c^5 + 41472*a^2*b^6*c^6)*d^10 - 4*(15375*a^9*b^3*c^3 + 105400*a^7*b^4*c^4 - 48480*a^5*b^5*c^5 - 104704*a^3*b^6*c^6 - 13824*a*b^7*c^7)*d^9 + (93775*a^8*b^4*c^4 - 159840*a^6*b^5*c^5 - 423744*a^4*b^6*c^6 + 101376*a^2*b^7*c^7 + 20736*b^8*c^8)*d^8 + 24*(775*a^7*b^5*c^5 + 3140*a^5*b^6*c^6 - 10976*a^3*b^7*c^7 - 4896*a*b^8*c^8)*d^7 + 4*(7895*a^6*b^6*c^6 + 45624*a^4*b^7*c^7 - 1416*a^2*b^8*c^8 - 12096*b^9*c^9)*d^6 - 24*(2025*a^5*b^7*c^7 - 3334*a^3*b^8*c^8 - 3864*a*b^9*c^9)*d^5 - (15249*a^4*b^8*c^8 + 31024*a^2*b^9*c^9 - 42336*b^10*c^10)*d^4 - 28*(393*a^3*b^9*c^9 + 1148*a*b^10*c^10)*d^3 + 98*(97*a^2*b^10*c^10 - 168*b^11*c^11)*d^2)/(b^9*d^11))^(1/4)*log(-b^7*d^8*((2401*b^12*c^12 + 4116*a*b^11*c^11*d + 160000*a^8*d^16 - 32000*(15*a^9 + 8*a^7*b*c)*d^15 + 800*(675*a^10 + 920*a^8*b*c - 288*a^6*b^2*c^2)*d^14 - 80*(3375*a^11 + 9900*a^9*b*c - 6720*a^7*b^2*c^2 - 5248*a^5*b^3*c^3)*d^13 + (50625*a^12 + 378000*a^10*b*c - 429600*a^8*b^2*c^2 - 762880*a^6*b^3*c^3 + 165376*a^4*b^4*c^4)*d^12 - 4*(16875*a^11*b*c - 31500*a^9*b^2*c^2 - 81600*a^7*b^3*c^3 + 138880*a^5*b^4*c^4 + 62976*a^3*b^5*c^5)*d^11 - 2*(3375*a^10*b^2*c^2 - 44600*a^8*b^3*c^3 - 359520*a^6*b^4*c^4 - 85248*a^4*b^5*c^5 + 41472*a^2*b^6*c^6)*d^10 - 4*(15375*a^9*b^3*c^3 + 105400*a^7*b^4*c^4 - 48480*a^5*b^5*c^5 - 104704*a^3*b^6*c^6 - 13824*a*b^7*c^7)*d^9 + (93775*a^8*b^4*c^4 - 159840*a^6*b^5*c^5 - 423744*a^4*b^6*c^6 + 101376*a^2*b^7*c^7 + 20736*b^8*c^8)*d^8 + 24*(775*a^7*b^5*c^5 + 3140*a^5*b^6*c^6 - 10976*a^3*b^7*c^7 - 4896*a*b^8*c^8)*d^7 + 4*(7895*a^6*b^6*c^6 + 45624*a^4*b^7*c^7 - 1416*a^2*b^8*c^8 - 12096*b^9*c^9)*d^6 - 24*(2025*a^5*b^7*c^7 - 3334*a^3*b^8*c^8 - 3864*a*b^9*c^9)*d^5 - (15249*a^4*b^8*c^8 + 31024*a^2*b^9*c^9 - 42336*b^10*c^10)*d^4 - 28*(393*a^3*b^9*c^9 + 1148*a*b^10*c^10)*d^3 + 98*(97*a^2*b^10*c^10 - 168*b^11*c^11)*d^2)/(b^9*d^11))^(3/4) + (343*b^9*c^9 + 441*a*b^8*c^8*d + 8000*a^6*d^12 - 1200*(15*a^7 + 8*a^5*b*c)*d^11 + 60*(225*a^8 + 340*a^6*b*c - 176*a^4*b^2*c^2)*d^10 - (3375*a^9 + 14400*a^7*b*c - 17520*a^5*b^2*c^2 - 11008*a^3*b^3*c^3)*d^9 + 3*(1125*a^8*b*c - 2800*a^6*b^2*c^2 - 3120*a^4*b^3*c^3 + 2112*a^2*b^4*c^4)*d^8 + 12*(75*a^7*b^2*c^2 - 320*a^5*b^3*c^3 - 1172*a^3*b^4*c^4 - 288*a*b^5*c^5)*d^7 + 4*(875*a^6*b^3*c^3 + 2850*a^4*b^4*c^4 - 1212*a^2*b^5*c^5 - 432*b^6*c^6)*d^6 - 222*(15*a^5*b^4*c^4 - 32*a^3*b^5*c^5 - 24*a*b^6*c^6)*d^5 - 6*(205*a^4*b^5*c^5 + 152*a^2*b^6*c^6 - 504*b^7*c^7)*d^4 - 12*(129*a^3*b^6*c^6 + 224*a*b^7*c^7)*d^3 + 84*(11*a^2*b^7*c^7 - 21*b^8*c^8)*d^2)*((a*x + b)/(c*x + d))^(1/4)) + 4*(32*b^2*d^3 - (7*b^2*c^3 + 6*a*b*c^2*d + 60*a*c*d^3 - 3*(15*a^2*c + 4*b*c^2)*d^2)*x^3 - 3*(b^2*c^2*d + 14*a*b*c*d^2 + 20*a*d^4 - 5*(3*a^2 + 4*b*c)*d^3)*x^2 + 12*(3*b^2*c*d^2 - 3*a*b*d^3 + 4*b*d^4)*x)*((a*x + b)/(c*x + d))^(3/4))/(b^2*d^2*x^3)","B",0
2986,-1,0,0,0.000000," ","integrate((e*x+f)/(d+c*x+(a*x+(a^2*x^2+b^2)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2987,-1,0,0,0.000000," ","integrate((x^6+1)/(x^5-x^3)^(1/4)/(-x^6+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2988,1,329,0,0.733570," ","integrate((a^2*x^2-b)^(1/2)*(c*x^4+d)*(a*x+(a^2*x^2-b)^(1/2))^(1/2)/x^2,x, algorithm=""fricas"")","-\frac{252 \, \left(-a^{4} b d^{4}\right)^{\frac{1}{4}} a^{3} x \arctan\left(-\frac{\left(-a^{4} b d^{4}\right)^{\frac{3}{4}} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} a d - \left(-a^{4} b d^{4}\right)^{\frac{3}{4}} \sqrt{a^{3} d^{2} x + \sqrt{a^{2} x^{2} - b} a^{2} d^{2} + \sqrt{-a^{4} b d^{4}}}}{a^{4} b d^{4}}\right) + 63 \, \left(-a^{4} b d^{4}\right)^{\frac{1}{4}} a^{3} x \log\left(\sqrt{a x + \sqrt{a^{2} x^{2} - b}} a d + \left(-a^{4} b d^{4}\right)^{\frac{1}{4}}\right) - 63 \, \left(-a^{4} b d^{4}\right)^{\frac{1}{4}} a^{3} x \log\left(\sqrt{a x + \sqrt{a^{2} x^{2} - b}} a d - \left(-a^{4} b d^{4}\right)^{\frac{1}{4}}\right) + 2 \, {\left(2 \, a^{4} c x^{5} - 2 \, a^{2} b c x^{3} - {\left(189 \, a^{4} d - 16 \, b^{2} c\right)} x - {\left(16 \, a^{3} c x^{4} - 8 \, a b c x^{2} - 63 \, a^{3} d\right)} \sqrt{a^{2} x^{2} - b}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}}}{126 \, a^{3} x}"," ",0,"-1/126*(252*(-a^4*b*d^4)^(1/4)*a^3*x*arctan(-((-a^4*b*d^4)^(3/4)*sqrt(a*x + sqrt(a^2*x^2 - b))*a*d - (-a^4*b*d^4)^(3/4)*sqrt(a^3*d^2*x + sqrt(a^2*x^2 - b)*a^2*d^2 + sqrt(-a^4*b*d^4)))/(a^4*b*d^4)) + 63*(-a^4*b*d^4)^(1/4)*a^3*x*log(sqrt(a*x + sqrt(a^2*x^2 - b))*a*d + (-a^4*b*d^4)^(1/4)) - 63*(-a^4*b*d^4)^(1/4)*a^3*x*log(sqrt(a*x + sqrt(a^2*x^2 - b))*a*d - (-a^4*b*d^4)^(1/4)) + 2*(2*a^4*c*x^5 - 2*a^2*b*c*x^3 - (189*a^4*d - 16*b^2*c)*x - (16*a^3*c*x^4 - 8*a*b*c*x^2 - 63*a^3*d)*sqrt(a^2*x^2 - b))*sqrt(a*x + sqrt(a^2*x^2 - b)))/(a^3*x)","A",0
2989,1,6658,0,1.952507," ","integrate((x^2+1)^(3/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2,x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16} \log\left(\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + 147843 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{3} - 3 \, {\left(49281 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 6307968 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 3153984 \, \sqrt{2} + 6828344\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} + 9461952 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 1040814720 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 520407360 \, \sqrt{2} + 1061465768\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16} + 1694285845 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16} \log\left(-\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + 147843 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{3} - 3 \, {\left(49281 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 6307968 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 3153984 \, \sqrt{2} + 6828344\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} + 9461952 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 1040814720 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 520407360 \, \sqrt{2} + 1061465768\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16} + 1694285845 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14} \log\left(\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{3} + {\left(272502 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 15139 \, \sqrt{2} + 430040\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} + 847784 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} - {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + 15260112 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 847784 \, \sqrt{2} + 6271112\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - 298662192 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - 16592344 \, \sqrt{2} - 704044536\right)} \sqrt{18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14} + 376771509 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14} \log\left(-\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{3} + {\left(272502 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 15139 \, \sqrt{2} + 430040\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} + 847784 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} - {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + 15260112 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 847784 \, \sqrt{2} + 6271112\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - 298662192 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - 16592344 \, \sqrt{2} - 704044536\right)} \sqrt{18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14} + 376771509 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} + \frac{1}{2} \, \sqrt{2} + 7} \log\left(\frac{1}{8} \, {\left({\left(272502 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 15139 \, \sqrt{2} + 430040\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} + 641986 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} - {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + 15260112 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 847784 \, \sqrt{2} + 6271112\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} + 4 \, \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} {\left({\left(15139 \, \sqrt{2} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)} + 641986 \, \sqrt{2}\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - 641986 \, \sqrt{2} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)} - 17811128 \, \sqrt{2}\right)} + 326521584 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 18140088 \, \sqrt{2} - 785943008\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} + \frac{1}{2} \, \sqrt{2} + 7} + 376771509 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} + \frac{1}{2} \, \sqrt{2} + 7} \log\left(-\frac{1}{8} \, {\left({\left(272502 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 15139 \, \sqrt{2} + 430040\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} + 641986 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} - {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + 15260112 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 847784 \, \sqrt{2} + 6271112\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} + 4 \, \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} {\left({\left(15139 \, \sqrt{2} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)} + 641986 \, \sqrt{2}\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - 641986 \, \sqrt{2} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)} - 17811128 \, \sqrt{2}\right)} + 326521584 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 18140088 \, \sqrt{2} - 785943008\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} + \frac{1}{2} \, \sqrt{2} + 7} + 376771509 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} + \frac{1}{2} \, \sqrt{2} + 7} \log\left(\frac{1}{8} \, {\left({\left(272502 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 15139 \, \sqrt{2} + 430040\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} + 641986 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} - {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + 15260112 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 847784 \, \sqrt{2} + 6271112\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - 4 \, \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} {\left({\left(15139 \, \sqrt{2} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)} + 641986 \, \sqrt{2}\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - 641986 \, \sqrt{2} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)} - 17811128 \, \sqrt{2}\right)} + 326521584 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 18140088 \, \sqrt{2} - 785943008\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} + \frac{1}{2} \, \sqrt{2} + 7} + 376771509 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} + \frac{1}{2} \, \sqrt{2} + 7} \log\left(-\frac{1}{8} \, {\left({\left(272502 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 15139 \, \sqrt{2} + 430040\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} + 641986 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} - {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + 15260112 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 847784 \, \sqrt{2} + 6271112\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - 4 \, \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} {\left({\left(15139 \, \sqrt{2} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)} + 641986 \, \sqrt{2}\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - 641986 \, \sqrt{2} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)} - 17811128 \, \sqrt{2}\right)} + 326521584 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 18140088 \, \sqrt{2} - 785943008\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} + \frac{1}{2} \, \sqrt{2} + 7} + 376771509 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 8 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{64} \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{128} \, \sqrt{2} + \frac{1}{8}} \log\left(2 \, {\left(147843 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{3} + 4898078 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 697062192 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 348531096 \, \sqrt{2} - 2320947704\right)} \sqrt{-\frac{1}{64} \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{128} \, \sqrt{2} + \frac{1}{8}} + 1694285845 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 8 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{64} \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{128} \, \sqrt{2} + \frac{1}{8}} \log\left(-2 \, {\left(147843 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{3} + 4898078 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 697062192 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 348531096 \, \sqrt{2} - 2320947704\right)} \sqrt{-\frac{1}{64} \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{128} \, \sqrt{2} + \frac{1}{8}} + 1694285845 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 8 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{9}{64} \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{1}{128} \, \sqrt{2} + \frac{7}{64}} \log\left(2 \, {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{3} + 205798 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} - 625183776 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - 34732432 \, \sqrt{2} + 527573720\right)} \sqrt{-\frac{9}{64} \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{1}{128} \, \sqrt{2} + \frac{7}{64}} + 376771509 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 8 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{9}{64} \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{1}{128} \, \sqrt{2} + \frac{7}{64}} \log\left(-2 \, {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{3} + 205798 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} - 625183776 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - 34732432 \, \sqrt{2} + 527573720\right)} \sqrt{-\frac{9}{64} \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{1}{128} \, \sqrt{2} + \frac{7}{64}} + 376771509 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 2} \log\left(\frac{1}{4} \, {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} - 3 \, {\left(49281 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 6307968 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 3153984 \, \sqrt{2} + 6828344\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} + 4563874 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 16 \, {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} - 9127748 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + 4563874 \, \sqrt{2} - 47189688\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 343752528 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 171876264 \, \sqrt{2} + 2910138672\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 2} + 1694285845 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 2} \log\left(-\frac{1}{4} \, {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} - 3 \, {\left(49281 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 6307968 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 3153984 \, \sqrt{2} + 6828344\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} + 4563874 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 16 \, {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} - 9127748 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + 4563874 \, \sqrt{2} - 47189688\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 343752528 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 171876264 \, \sqrt{2} + 2910138672\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 2} + 1694285845 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 2} \log\left(\frac{1}{4} \, {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} - 3 \, {\left(49281 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 6307968 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 3153984 \, \sqrt{2} + 6828344\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} + 4563874 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - 16 \, {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} - 9127748 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + 4563874 \, \sqrt{2} - 47189688\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 343752528 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 171876264 \, \sqrt{2} + 2910138672\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 2} + 1694285845 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 2} \log\left(-\frac{1}{4} \, {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} - 3 \, {\left(49281 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 6307968 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 3153984 \, \sqrt{2} + 6828344\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} + 4563874 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - 16 \, {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} - 9127748 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + 4563874 \, \sqrt{2} - 47189688\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 343752528 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 171876264 \, \sqrt{2} + 2910138672\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 2} + 1694285845 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 16 \, {\left(x^{2} - 1\right)} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) + 16 \, {\left(x^{2} - 1\right)} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right) + 8 \, {\left(5 \, x^{2} - \sqrt{x^{2} + 1} x - 5\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{8 \, {\left(x^{2} - 1\right)}}"," ",0,"1/8*(sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*log(1/4*sqrt(1/2)*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 147843*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^3 - 3*(49281*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 6307968*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 3153984*sqrt(2) + 6828344)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) + 9461952*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 1040814720*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 520407360*sqrt(2) + 1061465768)*sqrt(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) + 1694285845*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*log(-1/4*sqrt(1/2)*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 147843*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^3 - 3*(49281*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 6307968*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 3153984*sqrt(2) + 6828344)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) + 9461952*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 1040814720*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 520407360*sqrt(2) + 1061465768)*sqrt(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) + 1694285845*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(1/2)*(x^2 - 1)*sqrt(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)*log(1/4*sqrt(1/2)*(15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^3 + (272502*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 15139*sqrt(2) + 430040)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 + 847784*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 - (15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 15260112*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 847784*sqrt(2) + 6271112)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 298662192*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 16592344*sqrt(2) - 704044536)*sqrt(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) + 376771509*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(1/2)*(x^2 - 1)*sqrt(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)*log(-1/4*sqrt(1/2)*(15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^3 + (272502*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 15139*sqrt(2) + 430040)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 + 847784*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 - (15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 15260112*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 847784*sqrt(2) + 6271112)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 298662192*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 16592344*sqrt(2) - 704044536)*sqrt(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) + 376771509*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284) + 1/2*sqrt(2) + 7)*log(1/8*((272502*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 15139*sqrt(2) + 430040)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 + 641986*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 - (15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 15260112*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 847784*sqrt(2) + 6271112)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) + 4*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284)*((15139*sqrt(2)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14) + 641986*sqrt(2))*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 641986*sqrt(2)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14) - 17811128*sqrt(2)) + 326521584*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 18140088*sqrt(2) - 785943008)*sqrt(sqrt(2)*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284) + 1/2*sqrt(2) + 7) + 376771509*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284) + 1/2*sqrt(2) + 7)*log(-1/8*((272502*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 15139*sqrt(2) + 430040)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 + 641986*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 - (15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 15260112*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 847784*sqrt(2) + 6271112)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) + 4*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284)*((15139*sqrt(2)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14) + 641986*sqrt(2))*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 641986*sqrt(2)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14) - 17811128*sqrt(2)) + 326521584*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 18140088*sqrt(2) - 785943008)*sqrt(sqrt(2)*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284) + 1/2*sqrt(2) + 7) + 376771509*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284) + 1/2*sqrt(2) + 7)*log(1/8*((272502*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 15139*sqrt(2) + 430040)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 + 641986*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 - (15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 15260112*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 847784*sqrt(2) + 6271112)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 4*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284)*((15139*sqrt(2)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14) + 641986*sqrt(2))*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 641986*sqrt(2)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14) - 17811128*sqrt(2)) + 326521584*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 18140088*sqrt(2) - 785943008)*sqrt(-sqrt(2)*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284) + 1/2*sqrt(2) + 7) + 376771509*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284) + 1/2*sqrt(2) + 7)*log(-1/8*((272502*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 15139*sqrt(2) + 430040)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 + 641986*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 - (15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 15260112*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 847784*sqrt(2) + 6271112)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 4*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284)*((15139*sqrt(2)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14) + 641986*sqrt(2))*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 641986*sqrt(2)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14) - 17811128*sqrt(2)) + 326521584*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 18140088*sqrt(2) - 785943008)*sqrt(-sqrt(2)*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284) + 1/2*sqrt(2) + 7) + 376771509*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 8*(x^2 - 1)*sqrt(-1/64*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/128*sqrt(2) + 1/8)*log(2*(147843*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^3 + 4898078*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 697062192*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 348531096*sqrt(2) - 2320947704)*sqrt(-1/64*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/128*sqrt(2) + 1/8) + 1694285845*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 8*(x^2 - 1)*sqrt(-1/64*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/128*sqrt(2) + 1/8)*log(-2*(147843*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^3 + 4898078*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 697062192*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 348531096*sqrt(2) - 2320947704)*sqrt(-1/64*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/128*sqrt(2) + 1/8) + 1694285845*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 8*(x^2 - 1)*sqrt(-9/64*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 1/128*sqrt(2) + 7/64)*log(2*(15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^3 + 205798*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 - 625183776*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 34732432*sqrt(2) + 527573720)*sqrt(-9/64*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 1/128*sqrt(2) + 7/64) + 376771509*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 8*(x^2 - 1)*sqrt(-9/64*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 1/128*sqrt(2) + 7/64)*log(-2*(15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^3 + 205798*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 - 625183776*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 34732432*sqrt(2) + 527573720)*sqrt(-9/64*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 1/128*sqrt(2) + 7/64) + 376771509*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 2)*log(1/4*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 - 3*(49281*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 6307968*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 3153984*sqrt(2) + 6828344)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) + 4563874*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 16*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) - 9127748*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 4563874*sqrt(2) - 47189688)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 343752528*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 171876264*sqrt(2) + 2910138672)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 2) + 1694285845*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 2)*log(-1/4*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 - 3*(49281*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 6307968*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 3153984*sqrt(2) + 6828344)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) + 4563874*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 16*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) - 9127748*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 4563874*sqrt(2) - 47189688)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 343752528*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 171876264*sqrt(2) + 2910138672)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 2) + 1694285845*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 2)*log(1/4*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 - 3*(49281*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 6307968*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 3153984*sqrt(2) + 6828344)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) + 4563874*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - 16*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) - 9127748*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 4563874*sqrt(2) - 47189688)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 343752528*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 171876264*sqrt(2) + 2910138672)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 2) + 1694285845*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 2)*log(-1/4*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 - 3*(49281*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 6307968*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 3153984*sqrt(2) + 6828344)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) + 4563874*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - 16*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) - 9127748*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 4563874*sqrt(2) - 47189688)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 343752528*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 171876264*sqrt(2) + 2910138672)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 2) + 1694285845*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 16*(x^2 - 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) + 16*(x^2 - 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1) + 8*(5*x^2 - sqrt(x^2 + 1)*x - 5)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 - 1)","B",0
2990,1,6658,0,1.835801," ","integrate((x^2+1)^(3/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2,x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16} \log\left(\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + 147843 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{3} - 3 \, {\left(49281 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 6307968 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 3153984 \, \sqrt{2} + 6828344\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} + 9461952 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 1040814720 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 520407360 \, \sqrt{2} + 1061465768\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16} + 1694285845 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16} \log\left(-\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + 147843 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{3} - 3 \, {\left(49281 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 6307968 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 3153984 \, \sqrt{2} + 6828344\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} + 9461952 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 1040814720 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 520407360 \, \sqrt{2} + 1061465768\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16} + 1694285845 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14} \log\left(\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{3} + {\left(272502 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 15139 \, \sqrt{2} + 430040\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} + 847784 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} - {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + 15260112 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 847784 \, \sqrt{2} + 6271112\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - 298662192 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - 16592344 \, \sqrt{2} - 704044536\right)} \sqrt{18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14} + 376771509 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14} \log\left(-\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{3} + {\left(272502 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 15139 \, \sqrt{2} + 430040\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} + 847784 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} - {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + 15260112 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 847784 \, \sqrt{2} + 6271112\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - 298662192 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - 16592344 \, \sqrt{2} - 704044536\right)} \sqrt{18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14} + 376771509 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} + \frac{1}{2} \, \sqrt{2} + 7} \log\left(\frac{1}{8} \, {\left({\left(272502 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 15139 \, \sqrt{2} + 430040\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} + 641986 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} - {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + 15260112 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 847784 \, \sqrt{2} + 6271112\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} + 4 \, \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} {\left({\left(15139 \, \sqrt{2} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)} + 641986 \, \sqrt{2}\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - 641986 \, \sqrt{2} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)} - 17811128 \, \sqrt{2}\right)} + 326521584 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 18140088 \, \sqrt{2} - 785943008\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} + \frac{1}{2} \, \sqrt{2} + 7} + 376771509 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} + \frac{1}{2} \, \sqrt{2} + 7} \log\left(-\frac{1}{8} \, {\left({\left(272502 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 15139 \, \sqrt{2} + 430040\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} + 641986 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} - {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + 15260112 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 847784 \, \sqrt{2} + 6271112\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} + 4 \, \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} {\left({\left(15139 \, \sqrt{2} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)} + 641986 \, \sqrt{2}\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - 641986 \, \sqrt{2} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)} - 17811128 \, \sqrt{2}\right)} + 326521584 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 18140088 \, \sqrt{2} - 785943008\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} + \frac{1}{2} \, \sqrt{2} + 7} + 376771509 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} + \frac{1}{2} \, \sqrt{2} + 7} \log\left(\frac{1}{8} \, {\left({\left(272502 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 15139 \, \sqrt{2} + 430040\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} + 641986 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} - {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + 15260112 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 847784 \, \sqrt{2} + 6271112\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - 4 \, \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} {\left({\left(15139 \, \sqrt{2} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)} + 641986 \, \sqrt{2}\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - 641986 \, \sqrt{2} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)} - 17811128 \, \sqrt{2}\right)} + 326521584 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 18140088 \, \sqrt{2} - 785943008\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} + \frac{1}{2} \, \sqrt{2} + 7} + 376771509 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} + \frac{1}{2} \, \sqrt{2} + 7} \log\left(-\frac{1}{8} \, {\left({\left(272502 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 15139 \, \sqrt{2} + 430040\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} + 641986 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} - {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + 15260112 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 847784 \, \sqrt{2} + 6271112\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - 4 \, \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} {\left({\left(15139 \, \sqrt{2} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)} + 641986 \, \sqrt{2}\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - 641986 \, \sqrt{2} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)} - 17811128 \, \sqrt{2}\right)} + 326521584 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 18140088 \, \sqrt{2} - 785943008\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} + \frac{1}{2} \, \sqrt{2} + 7} + 376771509 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 8 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{64} \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{128} \, \sqrt{2} + \frac{1}{8}} \log\left(2 \, {\left(147843 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{3} + 4898078 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 697062192 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 348531096 \, \sqrt{2} - 2320947704\right)} \sqrt{-\frac{1}{64} \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{128} \, \sqrt{2} + \frac{1}{8}} + 1694285845 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 8 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{64} \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{128} \, \sqrt{2} + \frac{1}{8}} \log\left(-2 \, {\left(147843 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{3} + 4898078 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 697062192 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 348531096 \, \sqrt{2} - 2320947704\right)} \sqrt{-\frac{1}{64} \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{128} \, \sqrt{2} + \frac{1}{8}} + 1694285845 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 8 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{9}{64} \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{1}{128} \, \sqrt{2} + \frac{7}{64}} \log\left(2 \, {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{3} + 205798 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} - 625183776 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - 34732432 \, \sqrt{2} + 527573720\right)} \sqrt{-\frac{9}{64} \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{1}{128} \, \sqrt{2} + \frac{7}{64}} + 376771509 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 8 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{9}{64} \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{1}{128} \, \sqrt{2} + \frac{7}{64}} \log\left(-2 \, {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{3} + 205798 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} - 625183776 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - 34732432 \, \sqrt{2} + 527573720\right)} \sqrt{-\frac{9}{64} \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{1}{128} \, \sqrt{2} + \frac{7}{64}} + 376771509 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 2} \log\left(\frac{1}{4} \, {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} - 3 \, {\left(49281 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 6307968 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 3153984 \, \sqrt{2} + 6828344\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} + 4563874 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 16 \, {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} - 9127748 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + 4563874 \, \sqrt{2} - 47189688\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 343752528 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 171876264 \, \sqrt{2} + 2910138672\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 2} + 1694285845 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 2} \log\left(-\frac{1}{4} \, {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} - 3 \, {\left(49281 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 6307968 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 3153984 \, \sqrt{2} + 6828344\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} + 4563874 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 16 \, {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} - 9127748 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + 4563874 \, \sqrt{2} - 47189688\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 343752528 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 171876264 \, \sqrt{2} + 2910138672\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 2} + 1694285845 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 2} \log\left(\frac{1}{4} \, {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} - 3 \, {\left(49281 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 6307968 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 3153984 \, \sqrt{2} + 6828344\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} + 4563874 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - 16 \, {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} - 9127748 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + 4563874 \, \sqrt{2} - 47189688\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 343752528 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 171876264 \, \sqrt{2} + 2910138672\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 2} + 1694285845 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 2} \log\left(-\frac{1}{4} \, {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} - 3 \, {\left(49281 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 6307968 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 3153984 \, \sqrt{2} + 6828344\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} + 4563874 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - 16 \, {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} - 9127748 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + 4563874 \, \sqrt{2} - 47189688\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 343752528 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 171876264 \, \sqrt{2} + 2910138672\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 2} + 1694285845 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 16 \, {\left(x^{2} - 1\right)} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) + 16 \, {\left(x^{2} - 1\right)} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right) + 8 \, {\left(5 \, x^{2} - \sqrt{x^{2} + 1} x - 5\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{8 \, {\left(x^{2} - 1\right)}}"," ",0,"1/8*(sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*log(1/4*sqrt(1/2)*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 147843*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^3 - 3*(49281*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 6307968*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 3153984*sqrt(2) + 6828344)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) + 9461952*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 1040814720*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 520407360*sqrt(2) + 1061465768)*sqrt(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) + 1694285845*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*log(-1/4*sqrt(1/2)*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 147843*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^3 - 3*(49281*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 6307968*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 3153984*sqrt(2) + 6828344)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) + 9461952*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 1040814720*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 520407360*sqrt(2) + 1061465768)*sqrt(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) + 1694285845*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(1/2)*(x^2 - 1)*sqrt(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)*log(1/4*sqrt(1/2)*(15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^3 + (272502*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 15139*sqrt(2) + 430040)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 + 847784*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 - (15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 15260112*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 847784*sqrt(2) + 6271112)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 298662192*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 16592344*sqrt(2) - 704044536)*sqrt(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) + 376771509*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(1/2)*(x^2 - 1)*sqrt(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)*log(-1/4*sqrt(1/2)*(15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^3 + (272502*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 15139*sqrt(2) + 430040)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 + 847784*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 - (15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 15260112*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 847784*sqrt(2) + 6271112)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 298662192*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 16592344*sqrt(2) - 704044536)*sqrt(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) + 376771509*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284) + 1/2*sqrt(2) + 7)*log(1/8*((272502*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 15139*sqrt(2) + 430040)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 + 641986*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 - (15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 15260112*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 847784*sqrt(2) + 6271112)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) + 4*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284)*((15139*sqrt(2)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14) + 641986*sqrt(2))*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 641986*sqrt(2)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14) - 17811128*sqrt(2)) + 326521584*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 18140088*sqrt(2) - 785943008)*sqrt(sqrt(2)*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284) + 1/2*sqrt(2) + 7) + 376771509*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284) + 1/2*sqrt(2) + 7)*log(-1/8*((272502*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 15139*sqrt(2) + 430040)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 + 641986*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 - (15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 15260112*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 847784*sqrt(2) + 6271112)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) + 4*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284)*((15139*sqrt(2)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14) + 641986*sqrt(2))*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 641986*sqrt(2)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14) - 17811128*sqrt(2)) + 326521584*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 18140088*sqrt(2) - 785943008)*sqrt(sqrt(2)*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284) + 1/2*sqrt(2) + 7) + 376771509*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284) + 1/2*sqrt(2) + 7)*log(1/8*((272502*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 15139*sqrt(2) + 430040)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 + 641986*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 - (15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 15260112*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 847784*sqrt(2) + 6271112)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 4*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284)*((15139*sqrt(2)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14) + 641986*sqrt(2))*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 641986*sqrt(2)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14) - 17811128*sqrt(2)) + 326521584*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 18140088*sqrt(2) - 785943008)*sqrt(-sqrt(2)*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284) + 1/2*sqrt(2) + 7) + 376771509*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284) + 1/2*sqrt(2) + 7)*log(-1/8*((272502*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 15139*sqrt(2) + 430040)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 + 641986*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 - (15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 15260112*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 847784*sqrt(2) + 6271112)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 4*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284)*((15139*sqrt(2)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14) + 641986*sqrt(2))*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 641986*sqrt(2)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14) - 17811128*sqrt(2)) + 326521584*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 18140088*sqrt(2) - 785943008)*sqrt(-sqrt(2)*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284) + 1/2*sqrt(2) + 7) + 376771509*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 8*(x^2 - 1)*sqrt(-1/64*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/128*sqrt(2) + 1/8)*log(2*(147843*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^3 + 4898078*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 697062192*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 348531096*sqrt(2) - 2320947704)*sqrt(-1/64*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/128*sqrt(2) + 1/8) + 1694285845*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 8*(x^2 - 1)*sqrt(-1/64*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/128*sqrt(2) + 1/8)*log(-2*(147843*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^3 + 4898078*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 697062192*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 348531096*sqrt(2) - 2320947704)*sqrt(-1/64*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/128*sqrt(2) + 1/8) + 1694285845*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 8*(x^2 - 1)*sqrt(-9/64*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 1/128*sqrt(2) + 7/64)*log(2*(15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^3 + 205798*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 - 625183776*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 34732432*sqrt(2) + 527573720)*sqrt(-9/64*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 1/128*sqrt(2) + 7/64) + 376771509*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 8*(x^2 - 1)*sqrt(-9/64*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 1/128*sqrt(2) + 7/64)*log(-2*(15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^3 + 205798*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 - 625183776*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 34732432*sqrt(2) + 527573720)*sqrt(-9/64*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 1/128*sqrt(2) + 7/64) + 376771509*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 2)*log(1/4*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 - 3*(49281*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 6307968*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 3153984*sqrt(2) + 6828344)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) + 4563874*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 16*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) - 9127748*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 4563874*sqrt(2) - 47189688)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 343752528*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 171876264*sqrt(2) + 2910138672)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 2) + 1694285845*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 2)*log(-1/4*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 - 3*(49281*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 6307968*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 3153984*sqrt(2) + 6828344)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) + 4563874*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 16*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) - 9127748*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 4563874*sqrt(2) - 47189688)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 343752528*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 171876264*sqrt(2) + 2910138672)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 2) + 1694285845*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 2)*log(1/4*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 - 3*(49281*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 6307968*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 3153984*sqrt(2) + 6828344)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) + 4563874*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - 16*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) - 9127748*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 4563874*sqrt(2) - 47189688)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 343752528*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 171876264*sqrt(2) + 2910138672)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 2) + 1694285845*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 2)*log(-1/4*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 - 3*(49281*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 6307968*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 3153984*sqrt(2) + 6828344)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) + 4563874*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - 16*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) - 9127748*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 4563874*sqrt(2) - 47189688)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 343752528*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 171876264*sqrt(2) + 2910138672)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 2) + 1694285845*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 16*(x^2 - 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) + 16*(x^2 - 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1) + 8*(5*x^2 - sqrt(x^2 + 1)*x - 5)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 - 1)","B",0
2991,1,6658,0,1.839978," ","integrate((x^2+1)^(3/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2,x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16} \log\left(\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + 147843 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{3} - 3 \, {\left(49281 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 6307968 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 3153984 \, \sqrt{2} + 6828344\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} + 9461952 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 1040814720 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 520407360 \, \sqrt{2} + 1061465768\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16} + 1694285845 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16} \log\left(-\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + 147843 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{3} - 3 \, {\left(49281 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 6307968 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 3153984 \, \sqrt{2} + 6828344\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} + 9461952 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 1040814720 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 520407360 \, \sqrt{2} + 1061465768\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16} + 1694285845 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14} \log\left(\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{3} + {\left(272502 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 15139 \, \sqrt{2} + 430040\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} + 847784 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} - {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + 15260112 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 847784 \, \sqrt{2} + 6271112\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - 298662192 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - 16592344 \, \sqrt{2} - 704044536\right)} \sqrt{18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14} + 376771509 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14} \log\left(-\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{3} + {\left(272502 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 15139 \, \sqrt{2} + 430040\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} + 847784 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} - {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + 15260112 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 847784 \, \sqrt{2} + 6271112\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - 298662192 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - 16592344 \, \sqrt{2} - 704044536\right)} \sqrt{18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14} + 376771509 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} + \frac{1}{2} \, \sqrt{2} + 7} \log\left(\frac{1}{8} \, {\left({\left(272502 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 15139 \, \sqrt{2} + 430040\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} + 641986 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} - {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + 15260112 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 847784 \, \sqrt{2} + 6271112\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} + 4 \, \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} {\left({\left(15139 \, \sqrt{2} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)} + 641986 \, \sqrt{2}\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - 641986 \, \sqrt{2} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)} - 17811128 \, \sqrt{2}\right)} + 326521584 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 18140088 \, \sqrt{2} - 785943008\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} + \frac{1}{2} \, \sqrt{2} + 7} + 376771509 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} + \frac{1}{2} \, \sqrt{2} + 7} \log\left(-\frac{1}{8} \, {\left({\left(272502 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 15139 \, \sqrt{2} + 430040\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} + 641986 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} - {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + 15260112 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 847784 \, \sqrt{2} + 6271112\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} + 4 \, \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} {\left({\left(15139 \, \sqrt{2} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)} + 641986 \, \sqrt{2}\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - 641986 \, \sqrt{2} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)} - 17811128 \, \sqrt{2}\right)} + 326521584 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 18140088 \, \sqrt{2} - 785943008\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} + \frac{1}{2} \, \sqrt{2} + 7} + 376771509 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} + \frac{1}{2} \, \sqrt{2} + 7} \log\left(\frac{1}{8} \, {\left({\left(272502 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 15139 \, \sqrt{2} + 430040\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} + 641986 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} - {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + 15260112 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 847784 \, \sqrt{2} + 6271112\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - 4 \, \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} {\left({\left(15139 \, \sqrt{2} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)} + 641986 \, \sqrt{2}\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - 641986 \, \sqrt{2} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)} - 17811128 \, \sqrt{2}\right)} + 326521584 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 18140088 \, \sqrt{2} - 785943008\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} + \frac{1}{2} \, \sqrt{2} + 7} + 376771509 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} + \frac{1}{2} \, \sqrt{2} + 7} \log\left(-\frac{1}{8} \, {\left({\left(272502 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 15139 \, \sqrt{2} + 430040\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} + 641986 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} - {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + 15260112 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 847784 \, \sqrt{2} + 6271112\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - 4 \, \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} {\left({\left(15139 \, \sqrt{2} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)} + 641986 \, \sqrt{2}\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - 641986 \, \sqrt{2} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)} - 17811128 \, \sqrt{2}\right)} + 326521584 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + 18140088 \, \sqrt{2} - 785943008\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} + \frac{1}{16} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} + 42\right)} {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)} - \frac{3}{32} \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \sqrt{2} + 14\right)}^{2} - 63 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{7}{2} \, \sqrt{2} + 284} + \frac{1}{2} \, \sqrt{2} + 7} + 376771509 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 8 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{64} \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{128} \, \sqrt{2} + \frac{1}{8}} \log\left(2 \, {\left(147843 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{3} + 4898078 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 697062192 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 348531096 \, \sqrt{2} - 2320947704\right)} \sqrt{-\frac{1}{64} \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{128} \, \sqrt{2} + \frac{1}{8}} + 1694285845 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 8 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{64} \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{128} \, \sqrt{2} + \frac{1}{8}} \log\left(-2 \, {\left(147843 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{3} + 4898078 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 697062192 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 348531096 \, \sqrt{2} - 2320947704\right)} \sqrt{-\frac{1}{64} \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{128} \, \sqrt{2} + \frac{1}{8}} + 1694285845 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 8 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{9}{64} \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{1}{128} \, \sqrt{2} + \frac{7}{64}} \log\left(2 \, {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{3} + 205798 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} - 625183776 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - 34732432 \, \sqrt{2} + 527573720\right)} \sqrt{-\frac{9}{64} \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{1}{128} \, \sqrt{2} + \frac{7}{64}} + 376771509 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 8 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{9}{64} \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{1}{128} \, \sqrt{2} + \frac{7}{64}} \log\left(-2 \, {\left(15139 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{3} + 205798 \, {\left(18 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} + \sqrt{2} - 14\right)}^{2} - 625183776 \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - 34732432 \, \sqrt{2} + 527573720\right)} \sqrt{-\frac{9}{64} \, \sqrt{\frac{1}{2}} \sqrt{5 \, \sqrt{2} + 7} - \frac{1}{128} \, \sqrt{2} + \frac{7}{64}} + 376771509 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 2} \log\left(\frac{1}{4} \, {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} - 3 \, {\left(49281 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 6307968 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 3153984 \, \sqrt{2} + 6828344\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} + 4563874 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 16 \, {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} - 9127748 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + 4563874 \, \sqrt{2} - 47189688\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 343752528 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 171876264 \, \sqrt{2} + 2910138672\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 2} + 1694285845 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 2} \log\left(-\frac{1}{4} \, {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} - 3 \, {\left(49281 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 6307968 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 3153984 \, \sqrt{2} + 6828344\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} + 4563874 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 16 \, {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} - 9127748 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + 4563874 \, \sqrt{2} - 47189688\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 343752528 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 171876264 \, \sqrt{2} + 2910138672\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 2} + 1694285845 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 2} \log\left(\frac{1}{4} \, {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} - 3 \, {\left(49281 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 6307968 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 3153984 \, \sqrt{2} + 6828344\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} + 4563874 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - 16 \, {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} - 9127748 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + 4563874 \, \sqrt{2} - 47189688\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 343752528 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 171876264 \, \sqrt{2} + 2910138672\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 2} + 1694285845 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 2} \log\left(-\frac{1}{4} \, {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} - 3 \, {\left(49281 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} + 6307968 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 3153984 \, \sqrt{2} + 6828344\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} + 4563874 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - 16 \, {\left({\left(295686 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 147843 \, \sqrt{2} + 2198386\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} - 9127748 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + 4563874 \, \sqrt{2} - 47189688\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 343752528 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - 171876264 \, \sqrt{2} + 2910138672\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \sqrt{2} + 16\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} + 48\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} - \sqrt{2} - 16\right)}^{2} - \sqrt{\frac{1}{2}} \sqrt{353 \, \sqrt{2} - 497} + \frac{1}{2} \, \sqrt{2} - 31} + 2} + 1694285845 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 16 \, {\left(x^{2} - 1\right)} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) + 16 \, {\left(x^{2} - 1\right)} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right) + 8 \, {\left(5 \, x^{2} - \sqrt{x^{2} + 1} x - 5\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{8 \, {\left(x^{2} - 1\right)}}"," ",0,"1/8*(sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*log(1/4*sqrt(1/2)*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 147843*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^3 - 3*(49281*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 6307968*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 3153984*sqrt(2) + 6828344)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) + 9461952*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 1040814720*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 520407360*sqrt(2) + 1061465768)*sqrt(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) + 1694285845*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*log(-1/4*sqrt(1/2)*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 147843*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^3 - 3*(49281*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 6307968*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 3153984*sqrt(2) + 6828344)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) + 9461952*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 1040814720*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 520407360*sqrt(2) + 1061465768)*sqrt(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) + 1694285845*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(1/2)*(x^2 - 1)*sqrt(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)*log(1/4*sqrt(1/2)*(15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^3 + (272502*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 15139*sqrt(2) + 430040)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 + 847784*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 - (15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 15260112*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 847784*sqrt(2) + 6271112)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 298662192*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 16592344*sqrt(2) - 704044536)*sqrt(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) + 376771509*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(1/2)*(x^2 - 1)*sqrt(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)*log(-1/4*sqrt(1/2)*(15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^3 + (272502*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 15139*sqrt(2) + 430040)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 + 847784*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 - (15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 15260112*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 847784*sqrt(2) + 6271112)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 298662192*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 16592344*sqrt(2) - 704044536)*sqrt(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) + 376771509*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284) + 1/2*sqrt(2) + 7)*log(1/8*((272502*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 15139*sqrt(2) + 430040)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 + 641986*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 - (15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 15260112*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 847784*sqrt(2) + 6271112)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) + 4*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284)*((15139*sqrt(2)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14) + 641986*sqrt(2))*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 641986*sqrt(2)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14) - 17811128*sqrt(2)) + 326521584*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 18140088*sqrt(2) - 785943008)*sqrt(sqrt(2)*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284) + 1/2*sqrt(2) + 7) + 376771509*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284) + 1/2*sqrt(2) + 7)*log(-1/8*((272502*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 15139*sqrt(2) + 430040)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 + 641986*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 - (15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 15260112*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 847784*sqrt(2) + 6271112)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) + 4*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284)*((15139*sqrt(2)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14) + 641986*sqrt(2))*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 641986*sqrt(2)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14) - 17811128*sqrt(2)) + 326521584*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 18140088*sqrt(2) - 785943008)*sqrt(sqrt(2)*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284) + 1/2*sqrt(2) + 7) + 376771509*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284) + 1/2*sqrt(2) + 7)*log(1/8*((272502*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 15139*sqrt(2) + 430040)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 + 641986*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 - (15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 15260112*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 847784*sqrt(2) + 6271112)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 4*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284)*((15139*sqrt(2)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14) + 641986*sqrt(2))*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 641986*sqrt(2)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14) - 17811128*sqrt(2)) + 326521584*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 18140088*sqrt(2) - 785943008)*sqrt(-sqrt(2)*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284) + 1/2*sqrt(2) + 7) + 376771509*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284) + 1/2*sqrt(2) + 7)*log(-1/8*((272502*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 15139*sqrt(2) + 430040)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 + 641986*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 - (15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 15260112*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 847784*sqrt(2) + 6271112)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 4*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284)*((15139*sqrt(2)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14) + 641986*sqrt(2))*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 641986*sqrt(2)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14) - 17811128*sqrt(2)) + 326521584*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + 18140088*sqrt(2) - 785943008)*sqrt(-sqrt(2)*sqrt(-3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 + 1/16*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) + 42)*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14) - 3/32*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - sqrt(2) + 14)^2 - 63*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 7/2*sqrt(2) + 284) + 1/2*sqrt(2) + 7) + 376771509*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 8*(x^2 - 1)*sqrt(-1/64*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/128*sqrt(2) + 1/8)*log(2*(147843*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^3 + 4898078*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 697062192*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 348531096*sqrt(2) - 2320947704)*sqrt(-1/64*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/128*sqrt(2) + 1/8) + 1694285845*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 8*(x^2 - 1)*sqrt(-1/64*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/128*sqrt(2) + 1/8)*log(-2*(147843*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^3 + 4898078*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 697062192*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 348531096*sqrt(2) - 2320947704)*sqrt(-1/64*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/128*sqrt(2) + 1/8) + 1694285845*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 8*(x^2 - 1)*sqrt(-9/64*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 1/128*sqrt(2) + 7/64)*log(2*(15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^3 + 205798*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 - 625183776*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 34732432*sqrt(2) + 527573720)*sqrt(-9/64*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 1/128*sqrt(2) + 7/64) + 376771509*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 8*(x^2 - 1)*sqrt(-9/64*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 1/128*sqrt(2) + 7/64)*log(-2*(15139*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^3 + 205798*(18*sqrt(1/2)*sqrt(5*sqrt(2) + 7) + sqrt(2) - 14)^2 - 625183776*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 34732432*sqrt(2) + 527573720)*sqrt(-9/64*sqrt(1/2)*sqrt(5*sqrt(2) + 7) - 1/128*sqrt(2) + 7/64) + 376771509*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 2)*log(1/4*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 - 3*(49281*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 6307968*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 3153984*sqrt(2) + 6828344)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) + 4563874*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 16*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) - 9127748*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 4563874*sqrt(2) - 47189688)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 343752528*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 171876264*sqrt(2) + 2910138672)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 2) + 1694285845*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 2)*log(-1/4*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 - 3*(49281*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 6307968*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 3153984*sqrt(2) + 6828344)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) + 4563874*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 16*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) - 9127748*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 4563874*sqrt(2) - 47189688)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 343752528*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 171876264*sqrt(2) + 2910138672)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 2) + 1694285845*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 2)*log(1/4*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 - 3*(49281*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 6307968*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 3153984*sqrt(2) + 6828344)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) + 4563874*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - 16*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) - 9127748*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 4563874*sqrt(2) - 47189688)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 343752528*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 171876264*sqrt(2) + 2910138672)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 2) + 1694285845*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 2)*log(-1/4*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 - 3*(49281*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 + 6307968*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 3153984*sqrt(2) + 6828344)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) + 4563874*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - 16*((295686*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 147843*sqrt(2) + 2198386)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16) - 9127748*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 4563874*sqrt(2) - 47189688)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 343752528*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - 171876264*sqrt(2) + 2910138672)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)^2 + 1/128*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) + sqrt(2) + 16)*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) + 48) - 3/256*(2*sqrt(1/2)*sqrt(353*sqrt(2) - 497) - sqrt(2) - 16)^2 - sqrt(1/2)*sqrt(353*sqrt(2) - 497) + 1/2*sqrt(2) - 31) + 2) + 1694285845*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 16*(x^2 - 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) + 16*(x^2 - 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1) + 8*(5*x^2 - sqrt(x^2 + 1)*x - 5)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 - 1)","B",0
2992,1,10117,0,19.942566," ","integrate((x^4+x^2+1)*(x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2)/(x^4+x^2-1),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(4 \, x^{4} + 4 \, \sqrt{x^{4} + 1} x^{2} + 2 \, {\left(\sqrt{2} x^{3} + \sqrt{2} \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 1\right) - \frac{1}{20} \, \sqrt{-2 \, \sqrt{5} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42} + 10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} + 10} \log\left(\frac{20800 \, x^{4} + 20 \, {\left(71 \, x^{4} - 32 \, x^{2} + 8 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 10 \, {\left(142 \, x^{4} - 64 \, x^{2} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 16 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 105600 \, x^{2} + 200 \, {\left(96 \, x^{4} - 51 \, x^{2} + \sqrt{x^{4} + 1} {\left(74 \, x^{2} - 51\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 10 \, {\left(1920 \, x^{4} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - 1020 \, x^{2} + 20 \, {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 20 \, \sqrt{x^{4} + 1} {\left(74 \, x^{2} - 51\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 800 \, \sqrt{x^{4} + 1} {\left(48 \, x^{2} - 71\right)} + 20 \, {\left(20 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(38 \, x^{2} - 13\right)} + 2 \, {\left(8 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + \sqrt{5} {\left(71 \, x^{4} - 32 \, x^{2}\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + {\left(16 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + {\left(3 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + \sqrt{5} {\left(19 \, x^{4} - 12 \, x^{2}\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 2 \, \sqrt{5} {\left(71 \, x^{4} - 32 \, x^{2}\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 20 \, \sqrt{5} {\left(46 \, x^{4} - 13 \, x^{2}\right)}\right)} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42} + {\left({\left(120 \, x^{5} + 420 \, x^{3} + {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 10 \, \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 270 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} + {\left(1760 \, x^{5} + 6160 \, x^{3} + {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 20 \, {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 20 \, \sqrt{x^{4} + 1} {\left(88 \, x^{3} - 31 \, x\right)} - 3960 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 10 \, {\left(760 \, x^{5} + 1440 \, x^{3} + {\left(12 \, x^{5} + 42 \, x^{3} - \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 27 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 2 \, {\left(88 \, x^{5} + 308 \, x^{3} - \sqrt{x^{4} + 1} {\left(88 \, x^{3} - 31 \, x\right)} - 198 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 40 \, \sqrt{x^{4} + 1} {\left(19 \, x^{3} - 6 \, x\right)} - 2320 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} - 2 \, {\left({\left(10 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - \sqrt{5} {\left(53 \, x^{5} + 33 \, x^{3} - 43 \, x\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 30 \, \sqrt{5} {\left(4 \, x^{5} + 14 \, x^{3} - 9 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 10 \, {\left(2 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(32 \, x^{3} - 39 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 3 \, \sqrt{5} {\left(4 \, x^{5} + 14 \, x^{3} - 9 \, x\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 16 \, \sqrt{5} {\left(4 \, x^{5} + 14 \, x^{3} - 9 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\right)} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42}\right)} \sqrt{-2 \, \sqrt{5} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42} + 10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} + 10}}{40 \, {\left(x^{4} + x^{2} - 1\right)}}\right) + \frac{1}{20} \, \sqrt{-2 \, \sqrt{5} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42} + 10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} + 10} \log\left(\frac{20800 \, x^{4} + 20 \, {\left(71 \, x^{4} - 32 \, x^{2} + 8 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 10 \, {\left(142 \, x^{4} - 64 \, x^{2} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 16 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 105600 \, x^{2} + 200 \, {\left(96 \, x^{4} - 51 \, x^{2} + \sqrt{x^{4} + 1} {\left(74 \, x^{2} - 51\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 10 \, {\left(1920 \, x^{4} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - 1020 \, x^{2} + 20 \, {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 20 \, \sqrt{x^{4} + 1} {\left(74 \, x^{2} - 51\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 800 \, \sqrt{x^{4} + 1} {\left(48 \, x^{2} - 71\right)} + 20 \, {\left(20 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(38 \, x^{2} - 13\right)} + 2 \, {\left(8 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + \sqrt{5} {\left(71 \, x^{4} - 32 \, x^{2}\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + {\left(16 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + {\left(3 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + \sqrt{5} {\left(19 \, x^{4} - 12 \, x^{2}\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 2 \, \sqrt{5} {\left(71 \, x^{4} - 32 \, x^{2}\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 20 \, \sqrt{5} {\left(46 \, x^{4} - 13 \, x^{2}\right)}\right)} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42} - {\left({\left(120 \, x^{5} + 420 \, x^{3} + {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 10 \, \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 270 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} + {\left(1760 \, x^{5} + 6160 \, x^{3} + {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 20 \, {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 20 \, \sqrt{x^{4} + 1} {\left(88 \, x^{3} - 31 \, x\right)} - 3960 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 10 \, {\left(760 \, x^{5} + 1440 \, x^{3} + {\left(12 \, x^{5} + 42 \, x^{3} - \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 27 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 2 \, {\left(88 \, x^{5} + 308 \, x^{3} - \sqrt{x^{4} + 1} {\left(88 \, x^{3} - 31 \, x\right)} - 198 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 40 \, \sqrt{x^{4} + 1} {\left(19 \, x^{3} - 6 \, x\right)} - 2320 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} - 2 \, {\left({\left(10 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - \sqrt{5} {\left(53 \, x^{5} + 33 \, x^{3} - 43 \, x\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 30 \, \sqrt{5} {\left(4 \, x^{5} + 14 \, x^{3} - 9 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 10 \, {\left(2 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(32 \, x^{3} - 39 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 3 \, \sqrt{5} {\left(4 \, x^{5} + 14 \, x^{3} - 9 \, x\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 16 \, \sqrt{5} {\left(4 \, x^{5} + 14 \, x^{3} - 9 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\right)} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42}\right)} \sqrt{-2 \, \sqrt{5} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42} + 10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} + 10}}{40 \, {\left(x^{4} + x^{2} - 1\right)}}\right) - \frac{1}{20} \, \sqrt{2 \, \sqrt{5} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42} + 10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} + 10} \log\left(\frac{20800 \, x^{4} + 20 \, {\left(71 \, x^{4} - 32 \, x^{2} + 8 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 10 \, {\left(142 \, x^{4} - 64 \, x^{2} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 16 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 105600 \, x^{2} + 200 \, {\left(96 \, x^{4} - 51 \, x^{2} + \sqrt{x^{4} + 1} {\left(74 \, x^{2} - 51\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 10 \, {\left(1920 \, x^{4} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - 1020 \, x^{2} + 20 \, {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 20 \, \sqrt{x^{4} + 1} {\left(74 \, x^{2} - 51\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 800 \, \sqrt{x^{4} + 1} {\left(48 \, x^{2} - 71\right)} - 20 \, {\left(20 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(38 \, x^{2} - 13\right)} + 2 \, {\left(8 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + \sqrt{5} {\left(71 \, x^{4} - 32 \, x^{2}\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + {\left(16 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + {\left(3 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + \sqrt{5} {\left(19 \, x^{4} - 12 \, x^{2}\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 2 \, \sqrt{5} {\left(71 \, x^{4} - 32 \, x^{2}\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 20 \, \sqrt{5} {\left(46 \, x^{4} - 13 \, x^{2}\right)}\right)} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42} + {\left({\left(120 \, x^{5} + 420 \, x^{3} + {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 10 \, \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 270 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} + {\left(1760 \, x^{5} + 6160 \, x^{3} + {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 20 \, {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 20 \, \sqrt{x^{4} + 1} {\left(88 \, x^{3} - 31 \, x\right)} - 3960 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 10 \, {\left(760 \, x^{5} + 1440 \, x^{3} + {\left(12 \, x^{5} + 42 \, x^{3} - \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 27 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 2 \, {\left(88 \, x^{5} + 308 \, x^{3} - \sqrt{x^{4} + 1} {\left(88 \, x^{3} - 31 \, x\right)} - 198 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 40 \, \sqrt{x^{4} + 1} {\left(19 \, x^{3} - 6 \, x\right)} - 2320 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 2 \, {\left({\left(10 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - \sqrt{5} {\left(53 \, x^{5} + 33 \, x^{3} - 43 \, x\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 30 \, \sqrt{5} {\left(4 \, x^{5} + 14 \, x^{3} - 9 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 10 \, {\left(2 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(32 \, x^{3} - 39 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 3 \, \sqrt{5} {\left(4 \, x^{5} + 14 \, x^{3} - 9 \, x\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 16 \, \sqrt{5} {\left(4 \, x^{5} + 14 \, x^{3} - 9 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\right)} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42}\right)} \sqrt{2 \, \sqrt{5} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42} + 10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} + 10}}{40 \, {\left(x^{4} + x^{2} - 1\right)}}\right) + \frac{1}{20} \, \sqrt{2 \, \sqrt{5} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42} + 10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} + 10} \log\left(\frac{20800 \, x^{4} + 20 \, {\left(71 \, x^{4} - 32 \, x^{2} + 8 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 10 \, {\left(142 \, x^{4} - 64 \, x^{2} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 16 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 105600 \, x^{2} + 200 \, {\left(96 \, x^{4} - 51 \, x^{2} + \sqrt{x^{4} + 1} {\left(74 \, x^{2} - 51\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 10 \, {\left(1920 \, x^{4} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - 1020 \, x^{2} + 20 \, {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 20 \, \sqrt{x^{4} + 1} {\left(74 \, x^{2} - 51\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 800 \, \sqrt{x^{4} + 1} {\left(48 \, x^{2} - 71\right)} - 20 \, {\left(20 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(38 \, x^{2} - 13\right)} + 2 \, {\left(8 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + \sqrt{5} {\left(71 \, x^{4} - 32 \, x^{2}\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + {\left(16 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + {\left(3 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + \sqrt{5} {\left(19 \, x^{4} - 12 \, x^{2}\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 2 \, \sqrt{5} {\left(71 \, x^{4} - 32 \, x^{2}\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 20 \, \sqrt{5} {\left(46 \, x^{4} - 13 \, x^{2}\right)}\right)} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42} - {\left({\left(120 \, x^{5} + 420 \, x^{3} + {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 10 \, \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 270 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} + {\left(1760 \, x^{5} + 6160 \, x^{3} + {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 20 \, {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 20 \, \sqrt{x^{4} + 1} {\left(88 \, x^{3} - 31 \, x\right)} - 3960 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 10 \, {\left(760 \, x^{5} + 1440 \, x^{3} + {\left(12 \, x^{5} + 42 \, x^{3} - \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 27 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 2 \, {\left(88 \, x^{5} + 308 \, x^{3} - \sqrt{x^{4} + 1} {\left(88 \, x^{3} - 31 \, x\right)} - 198 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 40 \, \sqrt{x^{4} + 1} {\left(19 \, x^{3} - 6 \, x\right)} - 2320 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 2 \, {\left({\left(10 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - \sqrt{5} {\left(53 \, x^{5} + 33 \, x^{3} - 43 \, x\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 30 \, \sqrt{5} {\left(4 \, x^{5} + 14 \, x^{3} - 9 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 10 \, {\left(2 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(32 \, x^{3} - 39 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 3 \, \sqrt{5} {\left(4 \, x^{5} + 14 \, x^{3} - 9 \, x\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 16 \, \sqrt{5} {\left(4 \, x^{5} + 14 \, x^{3} - 9 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\right)} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42}\right)} \sqrt{2 \, \sqrt{5} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42} + 10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} + 10}}{40 \, {\left(x^{4} + x^{2} - 1\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{50} \, \sqrt{5} - \frac{1}{2} \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} + \frac{1}{10}} \log\left(\frac{18760 \, x^{4} - {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{3} - 20 \, {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - {\left(142 \, x^{4} - 64 \, x^{2} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 16 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 11720 \, x^{2} + 60 \, {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - {\left(1920 \, x^{4} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - 1020 \, x^{2} + 20 \, {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 20 \, \sqrt{x^{4} + 1} {\left(74 \, x^{2} - 51\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 2320 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + {\left({\left(120 \, x^{5} + 420 \, x^{3} + {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 10 \, \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 270 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} + {\left(1760 \, x^{5} + 6160 \, x^{3} + {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 20 \, {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 20 \, \sqrt{x^{4} + 1} {\left(88 \, x^{3} - 31 \, x\right)} - 3960 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - {\left(17400 \, x^{5} - {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{3} + 54800 \, x^{3} - 20 \, {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 60 \, {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 600 \, \sqrt{x^{4} + 1} {\left(29 \, x^{3} - 22 \, x\right)} - 42200 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\right)} \sqrt{-\frac{1}{50} \, \sqrt{5} - \frac{1}{2} \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} + \frac{1}{10}}}{20 \, {\left(x^{4} + x^{2} - 1\right)}}\right) - \frac{1}{2} \, \sqrt{-\frac{1}{50} \, \sqrt{5} - \frac{1}{2} \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} + \frac{1}{10}} \log\left(\frac{18760 \, x^{4} - {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{3} - 20 \, {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - {\left(142 \, x^{4} - 64 \, x^{2} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 16 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 11720 \, x^{2} + 60 \, {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - {\left(1920 \, x^{4} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - 1020 \, x^{2} + 20 \, {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 20 \, \sqrt{x^{4} + 1} {\left(74 \, x^{2} - 51\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 2320 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} - {\left({\left(120 \, x^{5} + 420 \, x^{3} + {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 10 \, \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 270 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} + {\left(1760 \, x^{5} + 6160 \, x^{3} + {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 20 \, {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 20 \, \sqrt{x^{4} + 1} {\left(88 \, x^{3} - 31 \, x\right)} - 3960 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - {\left(17400 \, x^{5} - {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{3} + 54800 \, x^{3} - 20 \, {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 60 \, {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 600 \, \sqrt{x^{4} + 1} {\left(29 \, x^{3} - 22 \, x\right)} - 42200 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\right)} \sqrt{-\frac{1}{50} \, \sqrt{5} - \frac{1}{2} \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} + \frac{1}{10}}}{20 \, {\left(x^{4} + x^{2} - 1\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{5} \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + \frac{1}{50} \, \sqrt{5} + \frac{1}{10}} \log\left(\frac{3560 \, x^{4} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{3} + 2 \, {\left(119 \, x^{4} - 88 \, x^{2} + 22 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - 2120 \, x^{2} - 20 \, {\left(153 \, x^{4} - 87 \, x^{2} + \sqrt{x^{4} + 1} {\left(137 \, x^{2} - 87\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + {\left(25000 \, x^{5} - {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{3} - 28400 \, x^{3} - 10 \, {\left(94 \, x^{5} + 24 \, x^{3} - \sqrt{x^{4} + 1} {\left(94 \, x^{3} - 65 \, x\right)} - 59 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 20 \, {\left(247 \, x^{5} + 407 \, x^{3} - \sqrt{x^{4} + 1} {\left(247 \, x^{3} - 139 \, x\right)} - 327 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 200 \, \sqrt{x^{4} + 1} {\left(125 \, x^{3} - 78 \, x\right)} + 7800 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{-\frac{1}{5} \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + \frac{1}{50} \, \sqrt{5} + \frac{1}{10}} - 80 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}}{20 \, {\left(x^{4} + x^{2} - 1\right)}}\right) - \frac{1}{2} \, \sqrt{-\frac{1}{5} \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + \frac{1}{50} \, \sqrt{5} + \frac{1}{10}} \log\left(\frac{3560 \, x^{4} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{3} + 2 \, {\left(119 \, x^{4} - 88 \, x^{2} + 22 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - 2120 \, x^{2} - 20 \, {\left(153 \, x^{4} - 87 \, x^{2} + \sqrt{x^{4} + 1} {\left(137 \, x^{2} - 87\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - {\left(25000 \, x^{5} - {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{3} - 28400 \, x^{3} - 10 \, {\left(94 \, x^{5} + 24 \, x^{3} - \sqrt{x^{4} + 1} {\left(94 \, x^{3} - 65 \, x\right)} - 59 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 20 \, {\left(247 \, x^{5} + 407 \, x^{3} - \sqrt{x^{4} + 1} {\left(247 \, x^{3} - 139 \, x\right)} - 327 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 200 \, \sqrt{x^{4} + 1} {\left(125 \, x^{3} - 78 \, x\right)} + 7800 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{-\frac{1}{5} \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + \frac{1}{50} \, \sqrt{5} + \frac{1}{10}} - 80 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}}{20 \, {\left(x^{4} + x^{2} - 1\right)}}\right)"," ",0,"1/4*sqrt(2)*log(4*x^4 + 4*sqrt(x^4 + 1)*x^2 + 2*(sqrt(2)*x^3 + sqrt(2)*sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1) - 1/20*sqrt(-2*sqrt(5)*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42) + 10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 25*sqrt(-8/125*sqrt(5) + 4/25) + 10)*log(1/40*(20800*x^4 + 20*(71*x^4 - 32*x^2 + 8*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 10*(142*x^4 - 64*x^2 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 16*sqrt(x^4 + 1)*(7*x^2 - 4))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 105600*x^2 + 200*(96*x^4 - 51*x^2 + sqrt(x^4 + 1)*(74*x^2 - 51))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 10*(1920*x^4 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1020*x^2 + 20*(19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 20*sqrt(x^4 + 1)*(74*x^2 - 51))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 800*sqrt(x^4 + 1)*(48*x^2 - 71) + 20*(20*sqrt(5)*sqrt(x^4 + 1)*(38*x^2 - 13) + 2*(8*sqrt(5)*sqrt(x^4 + 1)*(7*x^2 - 4) + sqrt(5)*(71*x^4 - 32*x^2))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + (16*sqrt(5)*sqrt(x^4 + 1)*(7*x^2 - 4) + (3*sqrt(5)*sqrt(x^4 + 1)*(7*x^2 - 4) + sqrt(5)*(19*x^4 - 12*x^2))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 2*sqrt(5)*(71*x^4 - 32*x^2))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 20*sqrt(5)*(46*x^4 - 13*x^2))*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42) + ((120*x^5 + 420*x^3 + (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 10*sqrt(x^4 + 1)*(12*x^3 - 7*x) - 270*x)*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 + (1760*x^5 + 6160*x^3 + (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 20*(53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 20*sqrt(x^4 + 1)*(88*x^3 - 31*x) - 3960*x)*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 10*(760*x^5 + 1440*x^3 + (12*x^5 + 42*x^3 - sqrt(x^4 + 1)*(12*x^3 - 7*x) - 27*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 2*(88*x^5 + 308*x^3 - sqrt(x^4 + 1)*(88*x^3 - 31*x) - 198*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 40*sqrt(x^4 + 1)*(19*x^3 - 6*x) - 2320*x)*sqrt(x^2 + sqrt(x^4 + 1)) - 2*((10*sqrt(5)*sqrt(x^4 + 1)*(12*x^3 - 7*x) + (sqrt(5)*sqrt(x^4 + 1)*(53*x^3 - 36*x) - sqrt(5)*(53*x^5 + 33*x^3 - 43*x))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 30*sqrt(5)*(4*x^5 + 14*x^3 - 9*x))*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 10*(2*sqrt(5)*sqrt(x^4 + 1)*(32*x^3 - 39*x) + (sqrt(5)*sqrt(x^4 + 1)*(12*x^3 - 7*x) - 3*sqrt(5)*(4*x^5 + 14*x^3 - 9*x))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 16*sqrt(5)*(4*x^5 + 14*x^3 - 9*x))*sqrt(x^2 + sqrt(x^4 + 1)))*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42))*sqrt(-2*sqrt(5)*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42) + 10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 25*sqrt(-8/125*sqrt(5) + 4/25) + 10))/(x^4 + x^2 - 1)) + 1/20*sqrt(-2*sqrt(5)*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42) + 10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 25*sqrt(-8/125*sqrt(5) + 4/25) + 10)*log(1/40*(20800*x^4 + 20*(71*x^4 - 32*x^2 + 8*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 10*(142*x^4 - 64*x^2 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 16*sqrt(x^4 + 1)*(7*x^2 - 4))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 105600*x^2 + 200*(96*x^4 - 51*x^2 + sqrt(x^4 + 1)*(74*x^2 - 51))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 10*(1920*x^4 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1020*x^2 + 20*(19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 20*sqrt(x^4 + 1)*(74*x^2 - 51))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 800*sqrt(x^4 + 1)*(48*x^2 - 71) + 20*(20*sqrt(5)*sqrt(x^4 + 1)*(38*x^2 - 13) + 2*(8*sqrt(5)*sqrt(x^4 + 1)*(7*x^2 - 4) + sqrt(5)*(71*x^4 - 32*x^2))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + (16*sqrt(5)*sqrt(x^4 + 1)*(7*x^2 - 4) + (3*sqrt(5)*sqrt(x^4 + 1)*(7*x^2 - 4) + sqrt(5)*(19*x^4 - 12*x^2))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 2*sqrt(5)*(71*x^4 - 32*x^2))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 20*sqrt(5)*(46*x^4 - 13*x^2))*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42) - ((120*x^5 + 420*x^3 + (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 10*sqrt(x^4 + 1)*(12*x^3 - 7*x) - 270*x)*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 + (1760*x^5 + 6160*x^3 + (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 20*(53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 20*sqrt(x^4 + 1)*(88*x^3 - 31*x) - 3960*x)*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 10*(760*x^5 + 1440*x^3 + (12*x^5 + 42*x^3 - sqrt(x^4 + 1)*(12*x^3 - 7*x) - 27*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 2*(88*x^5 + 308*x^3 - sqrt(x^4 + 1)*(88*x^3 - 31*x) - 198*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 40*sqrt(x^4 + 1)*(19*x^3 - 6*x) - 2320*x)*sqrt(x^2 + sqrt(x^4 + 1)) - 2*((10*sqrt(5)*sqrt(x^4 + 1)*(12*x^3 - 7*x) + (sqrt(5)*sqrt(x^4 + 1)*(53*x^3 - 36*x) - sqrt(5)*(53*x^5 + 33*x^3 - 43*x))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 30*sqrt(5)*(4*x^5 + 14*x^3 - 9*x))*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 10*(2*sqrt(5)*sqrt(x^4 + 1)*(32*x^3 - 39*x) + (sqrt(5)*sqrt(x^4 + 1)*(12*x^3 - 7*x) - 3*sqrt(5)*(4*x^5 + 14*x^3 - 9*x))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 16*sqrt(5)*(4*x^5 + 14*x^3 - 9*x))*sqrt(x^2 + sqrt(x^4 + 1)))*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42))*sqrt(-2*sqrt(5)*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42) + 10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 25*sqrt(-8/125*sqrt(5) + 4/25) + 10))/(x^4 + x^2 - 1)) - 1/20*sqrt(2*sqrt(5)*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42) + 10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 25*sqrt(-8/125*sqrt(5) + 4/25) + 10)*log(1/40*(20800*x^4 + 20*(71*x^4 - 32*x^2 + 8*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 10*(142*x^4 - 64*x^2 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 16*sqrt(x^4 + 1)*(7*x^2 - 4))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 105600*x^2 + 200*(96*x^4 - 51*x^2 + sqrt(x^4 + 1)*(74*x^2 - 51))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 10*(1920*x^4 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1020*x^2 + 20*(19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 20*sqrt(x^4 + 1)*(74*x^2 - 51))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 800*sqrt(x^4 + 1)*(48*x^2 - 71) - 20*(20*sqrt(5)*sqrt(x^4 + 1)*(38*x^2 - 13) + 2*(8*sqrt(5)*sqrt(x^4 + 1)*(7*x^2 - 4) + sqrt(5)*(71*x^4 - 32*x^2))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + (16*sqrt(5)*sqrt(x^4 + 1)*(7*x^2 - 4) + (3*sqrt(5)*sqrt(x^4 + 1)*(7*x^2 - 4) + sqrt(5)*(19*x^4 - 12*x^2))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 2*sqrt(5)*(71*x^4 - 32*x^2))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 20*sqrt(5)*(46*x^4 - 13*x^2))*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42) + ((120*x^5 + 420*x^3 + (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 10*sqrt(x^4 + 1)*(12*x^3 - 7*x) - 270*x)*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 + (1760*x^5 + 6160*x^3 + (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 20*(53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 20*sqrt(x^4 + 1)*(88*x^3 - 31*x) - 3960*x)*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 10*(760*x^5 + 1440*x^3 + (12*x^5 + 42*x^3 - sqrt(x^4 + 1)*(12*x^3 - 7*x) - 27*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 2*(88*x^5 + 308*x^3 - sqrt(x^4 + 1)*(88*x^3 - 31*x) - 198*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 40*sqrt(x^4 + 1)*(19*x^3 - 6*x) - 2320*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 2*((10*sqrt(5)*sqrt(x^4 + 1)*(12*x^3 - 7*x) + (sqrt(5)*sqrt(x^4 + 1)*(53*x^3 - 36*x) - sqrt(5)*(53*x^5 + 33*x^3 - 43*x))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 30*sqrt(5)*(4*x^5 + 14*x^3 - 9*x))*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 10*(2*sqrt(5)*sqrt(x^4 + 1)*(32*x^3 - 39*x) + (sqrt(5)*sqrt(x^4 + 1)*(12*x^3 - 7*x) - 3*sqrt(5)*(4*x^5 + 14*x^3 - 9*x))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 16*sqrt(5)*(4*x^5 + 14*x^3 - 9*x))*sqrt(x^2 + sqrt(x^4 + 1)))*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42))*sqrt(2*sqrt(5)*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42) + 10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 25*sqrt(-8/125*sqrt(5) + 4/25) + 10))/(x^4 + x^2 - 1)) + 1/20*sqrt(2*sqrt(5)*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42) + 10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 25*sqrt(-8/125*sqrt(5) + 4/25) + 10)*log(1/40*(20800*x^4 + 20*(71*x^4 - 32*x^2 + 8*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 10*(142*x^4 - 64*x^2 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 16*sqrt(x^4 + 1)*(7*x^2 - 4))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 105600*x^2 + 200*(96*x^4 - 51*x^2 + sqrt(x^4 + 1)*(74*x^2 - 51))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 10*(1920*x^4 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1020*x^2 + 20*(19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 20*sqrt(x^4 + 1)*(74*x^2 - 51))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 800*sqrt(x^4 + 1)*(48*x^2 - 71) - 20*(20*sqrt(5)*sqrt(x^4 + 1)*(38*x^2 - 13) + 2*(8*sqrt(5)*sqrt(x^4 + 1)*(7*x^2 - 4) + sqrt(5)*(71*x^4 - 32*x^2))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + (16*sqrt(5)*sqrt(x^4 + 1)*(7*x^2 - 4) + (3*sqrt(5)*sqrt(x^4 + 1)*(7*x^2 - 4) + sqrt(5)*(19*x^4 - 12*x^2))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 2*sqrt(5)*(71*x^4 - 32*x^2))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 20*sqrt(5)*(46*x^4 - 13*x^2))*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42) - ((120*x^5 + 420*x^3 + (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 10*sqrt(x^4 + 1)*(12*x^3 - 7*x) - 270*x)*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 + (1760*x^5 + 6160*x^3 + (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 20*(53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 20*sqrt(x^4 + 1)*(88*x^3 - 31*x) - 3960*x)*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 10*(760*x^5 + 1440*x^3 + (12*x^5 + 42*x^3 - sqrt(x^4 + 1)*(12*x^3 - 7*x) - 27*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 2*(88*x^5 + 308*x^3 - sqrt(x^4 + 1)*(88*x^3 - 31*x) - 198*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 40*sqrt(x^4 + 1)*(19*x^3 - 6*x) - 2320*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 2*((10*sqrt(5)*sqrt(x^4 + 1)*(12*x^3 - 7*x) + (sqrt(5)*sqrt(x^4 + 1)*(53*x^3 - 36*x) - sqrt(5)*(53*x^5 + 33*x^3 - 43*x))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 30*sqrt(5)*(4*x^5 + 14*x^3 - 9*x))*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 10*(2*sqrt(5)*sqrt(x^4 + 1)*(32*x^3 - 39*x) + (sqrt(5)*sqrt(x^4 + 1)*(12*x^3 - 7*x) - 3*sqrt(5)*(4*x^5 + 14*x^3 - 9*x))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 16*sqrt(5)*(4*x^5 + 14*x^3 - 9*x))*sqrt(x^2 + sqrt(x^4 + 1)))*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42))*sqrt(2*sqrt(5)*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42) + 10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 25*sqrt(-8/125*sqrt(5) + 4/25) + 10))/(x^4 + x^2 - 1)) + 1/2*sqrt(-1/50*sqrt(5) - 1/2*sqrt(-8/125*sqrt(5) + 4/25) + 1/10)*log(1/20*(18760*x^4 - (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^3 - 20*(19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - (142*x^4 - 64*x^2 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 16*sqrt(x^4 + 1)*(7*x^2 - 4))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 11720*x^2 + 60*(19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - (1920*x^4 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1020*x^2 + 20*(19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 20*sqrt(x^4 + 1)*(74*x^2 - 51))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 2320*sqrt(x^4 + 1)*(7*x^2 - 4) + ((120*x^5 + 420*x^3 + (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 10*sqrt(x^4 + 1)*(12*x^3 - 7*x) - 270*x)*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 + (1760*x^5 + 6160*x^3 + (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 20*(53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 20*sqrt(x^4 + 1)*(88*x^3 - 31*x) - 3960*x)*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - (17400*x^5 - (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^3 + 54800*x^3 - 20*(53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 60*(53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 600*sqrt(x^4 + 1)*(29*x^3 - 22*x) - 42200*x)*sqrt(x^2 + sqrt(x^4 + 1)))*sqrt(-1/50*sqrt(5) - 1/2*sqrt(-8/125*sqrt(5) + 4/25) + 1/10))/(x^4 + x^2 - 1)) - 1/2*sqrt(-1/50*sqrt(5) - 1/2*sqrt(-8/125*sqrt(5) + 4/25) + 1/10)*log(1/20*(18760*x^4 - (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^3 - 20*(19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - (142*x^4 - 64*x^2 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 16*sqrt(x^4 + 1)*(7*x^2 - 4))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 11720*x^2 + 60*(19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - (1920*x^4 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1020*x^2 + 20*(19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 20*sqrt(x^4 + 1)*(74*x^2 - 51))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 2320*sqrt(x^4 + 1)*(7*x^2 - 4) - ((120*x^5 + 420*x^3 + (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 10*sqrt(x^4 + 1)*(12*x^3 - 7*x) - 270*x)*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 + (1760*x^5 + 6160*x^3 + (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 20*(53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 20*sqrt(x^4 + 1)*(88*x^3 - 31*x) - 3960*x)*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - (17400*x^5 - (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^3 + 54800*x^3 - 20*(53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 60*(53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 600*sqrt(x^4 + 1)*(29*x^3 - 22*x) - 42200*x)*sqrt(x^2 + sqrt(x^4 + 1)))*sqrt(-1/50*sqrt(5) - 1/2*sqrt(-8/125*sqrt(5) + 4/25) + 1/10))/(x^4 + x^2 - 1)) + 1/2*sqrt(-1/5*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 1/50*sqrt(5) + 1/10)*log(1/20*(3560*x^4 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^3 + 2*(119*x^4 - 88*x^2 + 22*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 2120*x^2 - 20*(153*x^4 - 87*x^2 + sqrt(x^4 + 1)*(137*x^2 - 87))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + (25000*x^5 - (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^3 - 28400*x^3 - 10*(94*x^5 + 24*x^3 - sqrt(x^4 + 1)*(94*x^3 - 65*x) - 59*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 20*(247*x^5 + 407*x^3 - sqrt(x^4 + 1)*(247*x^3 - 139*x) - 327*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 200*sqrt(x^4 + 1)*(125*x^3 - 78*x) + 7800*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(-1/5*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 1/50*sqrt(5) + 1/10) - 80*sqrt(x^4 + 1)*(7*x^2 - 4))/(x^4 + x^2 - 1)) - 1/2*sqrt(-1/5*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 1/50*sqrt(5) + 1/10)*log(1/20*(3560*x^4 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^3 + 2*(119*x^4 - 88*x^2 + 22*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 2120*x^2 - 20*(153*x^4 - 87*x^2 + sqrt(x^4 + 1)*(137*x^2 - 87))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - (25000*x^5 - (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^3 - 28400*x^3 - 10*(94*x^5 + 24*x^3 - sqrt(x^4 + 1)*(94*x^3 - 65*x) - 59*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 20*(247*x^5 + 407*x^3 - sqrt(x^4 + 1)*(247*x^3 - 139*x) - 327*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 200*sqrt(x^4 + 1)*(125*x^3 - 78*x) + 7800*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(-1/5*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 1/50*sqrt(5) + 1/10) - 80*sqrt(x^4 + 1)*(7*x^2 - 4))/(x^4 + x^2 - 1))","B",0
2993,1,10117,0,20.054578," ","integrate((x^4+x^2+1)*(x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2)/(x^4+x^2-1),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(4 \, x^{4} + 4 \, \sqrt{x^{4} + 1} x^{2} + 2 \, {\left(\sqrt{2} x^{3} + \sqrt{2} \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 1\right) - \frac{1}{20} \, \sqrt{-2 \, \sqrt{5} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42} + 10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} + 10} \log\left(\frac{20800 \, x^{4} + 20 \, {\left(71 \, x^{4} - 32 \, x^{2} + 8 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 10 \, {\left(142 \, x^{4} - 64 \, x^{2} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 16 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 105600 \, x^{2} + 200 \, {\left(96 \, x^{4} - 51 \, x^{2} + \sqrt{x^{4} + 1} {\left(74 \, x^{2} - 51\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 10 \, {\left(1920 \, x^{4} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - 1020 \, x^{2} + 20 \, {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 20 \, \sqrt{x^{4} + 1} {\left(74 \, x^{2} - 51\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 800 \, \sqrt{x^{4} + 1} {\left(48 \, x^{2} - 71\right)} + 20 \, {\left(20 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(38 \, x^{2} - 13\right)} + 2 \, {\left(8 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + \sqrt{5} {\left(71 \, x^{4} - 32 \, x^{2}\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + {\left(16 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + {\left(3 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + \sqrt{5} {\left(19 \, x^{4} - 12 \, x^{2}\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 2 \, \sqrt{5} {\left(71 \, x^{4} - 32 \, x^{2}\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 20 \, \sqrt{5} {\left(46 \, x^{4} - 13 \, x^{2}\right)}\right)} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42} + {\left({\left(120 \, x^{5} + 420 \, x^{3} + {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 10 \, \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 270 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} + {\left(1760 \, x^{5} + 6160 \, x^{3} + {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 20 \, {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 20 \, \sqrt{x^{4} + 1} {\left(88 \, x^{3} - 31 \, x\right)} - 3960 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 10 \, {\left(760 \, x^{5} + 1440 \, x^{3} + {\left(12 \, x^{5} + 42 \, x^{3} - \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 27 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 2 \, {\left(88 \, x^{5} + 308 \, x^{3} - \sqrt{x^{4} + 1} {\left(88 \, x^{3} - 31 \, x\right)} - 198 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 40 \, \sqrt{x^{4} + 1} {\left(19 \, x^{3} - 6 \, x\right)} - 2320 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} - 2 \, {\left({\left(10 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - \sqrt{5} {\left(53 \, x^{5} + 33 \, x^{3} - 43 \, x\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 30 \, \sqrt{5} {\left(4 \, x^{5} + 14 \, x^{3} - 9 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 10 \, {\left(2 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(32 \, x^{3} - 39 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 3 \, \sqrt{5} {\left(4 \, x^{5} + 14 \, x^{3} - 9 \, x\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 16 \, \sqrt{5} {\left(4 \, x^{5} + 14 \, x^{3} - 9 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\right)} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42}\right)} \sqrt{-2 \, \sqrt{5} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42} + 10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} + 10}}{40 \, {\left(x^{4} + x^{2} - 1\right)}}\right) + \frac{1}{20} \, \sqrt{-2 \, \sqrt{5} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42} + 10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} + 10} \log\left(\frac{20800 \, x^{4} + 20 \, {\left(71 \, x^{4} - 32 \, x^{2} + 8 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 10 \, {\left(142 \, x^{4} - 64 \, x^{2} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 16 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 105600 \, x^{2} + 200 \, {\left(96 \, x^{4} - 51 \, x^{2} + \sqrt{x^{4} + 1} {\left(74 \, x^{2} - 51\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 10 \, {\left(1920 \, x^{4} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - 1020 \, x^{2} + 20 \, {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 20 \, \sqrt{x^{4} + 1} {\left(74 \, x^{2} - 51\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 800 \, \sqrt{x^{4} + 1} {\left(48 \, x^{2} - 71\right)} + 20 \, {\left(20 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(38 \, x^{2} - 13\right)} + 2 \, {\left(8 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + \sqrt{5} {\left(71 \, x^{4} - 32 \, x^{2}\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + {\left(16 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + {\left(3 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + \sqrt{5} {\left(19 \, x^{4} - 12 \, x^{2}\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 2 \, \sqrt{5} {\left(71 \, x^{4} - 32 \, x^{2}\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 20 \, \sqrt{5} {\left(46 \, x^{4} - 13 \, x^{2}\right)}\right)} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42} - {\left({\left(120 \, x^{5} + 420 \, x^{3} + {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 10 \, \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 270 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} + {\left(1760 \, x^{5} + 6160 \, x^{3} + {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 20 \, {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 20 \, \sqrt{x^{4} + 1} {\left(88 \, x^{3} - 31 \, x\right)} - 3960 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 10 \, {\left(760 \, x^{5} + 1440 \, x^{3} + {\left(12 \, x^{5} + 42 \, x^{3} - \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 27 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 2 \, {\left(88 \, x^{5} + 308 \, x^{3} - \sqrt{x^{4} + 1} {\left(88 \, x^{3} - 31 \, x\right)} - 198 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 40 \, \sqrt{x^{4} + 1} {\left(19 \, x^{3} - 6 \, x\right)} - 2320 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} - 2 \, {\left({\left(10 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - \sqrt{5} {\left(53 \, x^{5} + 33 \, x^{3} - 43 \, x\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 30 \, \sqrt{5} {\left(4 \, x^{5} + 14 \, x^{3} - 9 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 10 \, {\left(2 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(32 \, x^{3} - 39 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 3 \, \sqrt{5} {\left(4 \, x^{5} + 14 \, x^{3} - 9 \, x\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 16 \, \sqrt{5} {\left(4 \, x^{5} + 14 \, x^{3} - 9 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\right)} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42}\right)} \sqrt{-2 \, \sqrt{5} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42} + 10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} + 10}}{40 \, {\left(x^{4} + x^{2} - 1\right)}}\right) - \frac{1}{20} \, \sqrt{2 \, \sqrt{5} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42} + 10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} + 10} \log\left(\frac{20800 \, x^{4} + 20 \, {\left(71 \, x^{4} - 32 \, x^{2} + 8 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 10 \, {\left(142 \, x^{4} - 64 \, x^{2} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 16 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 105600 \, x^{2} + 200 \, {\left(96 \, x^{4} - 51 \, x^{2} + \sqrt{x^{4} + 1} {\left(74 \, x^{2} - 51\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 10 \, {\left(1920 \, x^{4} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - 1020 \, x^{2} + 20 \, {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 20 \, \sqrt{x^{4} + 1} {\left(74 \, x^{2} - 51\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 800 \, \sqrt{x^{4} + 1} {\left(48 \, x^{2} - 71\right)} - 20 \, {\left(20 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(38 \, x^{2} - 13\right)} + 2 \, {\left(8 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + \sqrt{5} {\left(71 \, x^{4} - 32 \, x^{2}\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + {\left(16 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + {\left(3 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + \sqrt{5} {\left(19 \, x^{4} - 12 \, x^{2}\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 2 \, \sqrt{5} {\left(71 \, x^{4} - 32 \, x^{2}\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 20 \, \sqrt{5} {\left(46 \, x^{4} - 13 \, x^{2}\right)}\right)} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42} + {\left({\left(120 \, x^{5} + 420 \, x^{3} + {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 10 \, \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 270 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} + {\left(1760 \, x^{5} + 6160 \, x^{3} + {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 20 \, {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 20 \, \sqrt{x^{4} + 1} {\left(88 \, x^{3} - 31 \, x\right)} - 3960 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 10 \, {\left(760 \, x^{5} + 1440 \, x^{3} + {\left(12 \, x^{5} + 42 \, x^{3} - \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 27 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 2 \, {\left(88 \, x^{5} + 308 \, x^{3} - \sqrt{x^{4} + 1} {\left(88 \, x^{3} - 31 \, x\right)} - 198 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 40 \, \sqrt{x^{4} + 1} {\left(19 \, x^{3} - 6 \, x\right)} - 2320 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 2 \, {\left({\left(10 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - \sqrt{5} {\left(53 \, x^{5} + 33 \, x^{3} - 43 \, x\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 30 \, \sqrt{5} {\left(4 \, x^{5} + 14 \, x^{3} - 9 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 10 \, {\left(2 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(32 \, x^{3} - 39 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 3 \, \sqrt{5} {\left(4 \, x^{5} + 14 \, x^{3} - 9 \, x\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 16 \, \sqrt{5} {\left(4 \, x^{5} + 14 \, x^{3} - 9 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\right)} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42}\right)} \sqrt{2 \, \sqrt{5} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42} + 10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} + 10}}{40 \, {\left(x^{4} + x^{2} - 1\right)}}\right) + \frac{1}{20} \, \sqrt{2 \, \sqrt{5} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42} + 10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} + 10} \log\left(\frac{20800 \, x^{4} + 20 \, {\left(71 \, x^{4} - 32 \, x^{2} + 8 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 10 \, {\left(142 \, x^{4} - 64 \, x^{2} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 16 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 105600 \, x^{2} + 200 \, {\left(96 \, x^{4} - 51 \, x^{2} + \sqrt{x^{4} + 1} {\left(74 \, x^{2} - 51\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 10 \, {\left(1920 \, x^{4} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - 1020 \, x^{2} + 20 \, {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 20 \, \sqrt{x^{4} + 1} {\left(74 \, x^{2} - 51\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 800 \, \sqrt{x^{4} + 1} {\left(48 \, x^{2} - 71\right)} - 20 \, {\left(20 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(38 \, x^{2} - 13\right)} + 2 \, {\left(8 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + \sqrt{5} {\left(71 \, x^{4} - 32 \, x^{2}\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + {\left(16 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + {\left(3 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + \sqrt{5} {\left(19 \, x^{4} - 12 \, x^{2}\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 2 \, \sqrt{5} {\left(71 \, x^{4} - 32 \, x^{2}\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 20 \, \sqrt{5} {\left(46 \, x^{4} - 13 \, x^{2}\right)}\right)} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42} - {\left({\left(120 \, x^{5} + 420 \, x^{3} + {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 10 \, \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 270 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} + {\left(1760 \, x^{5} + 6160 \, x^{3} + {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 20 \, {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 20 \, \sqrt{x^{4} + 1} {\left(88 \, x^{3} - 31 \, x\right)} - 3960 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 10 \, {\left(760 \, x^{5} + 1440 \, x^{3} + {\left(12 \, x^{5} + 42 \, x^{3} - \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 27 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 2 \, {\left(88 \, x^{5} + 308 \, x^{3} - \sqrt{x^{4} + 1} {\left(88 \, x^{3} - 31 \, x\right)} - 198 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 40 \, \sqrt{x^{4} + 1} {\left(19 \, x^{3} - 6 \, x\right)} - 2320 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 2 \, {\left({\left(10 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - \sqrt{5} {\left(53 \, x^{5} + 33 \, x^{3} - 43 \, x\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 30 \, \sqrt{5} {\left(4 \, x^{5} + 14 \, x^{3} - 9 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 10 \, {\left(2 \, \sqrt{5} \sqrt{x^{4} + 1} {\left(32 \, x^{3} - 39 \, x\right)} + {\left(\sqrt{5} \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 3 \, \sqrt{5} {\left(4 \, x^{5} + 14 \, x^{3} - 9 \, x\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 16 \, \sqrt{5} {\left(4 \, x^{5} + 14 \, x^{3} - 9 \, x\right)}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\right)} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42}\right)} \sqrt{2 \, \sqrt{5} \sqrt{-\frac{3}{20} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - \frac{1}{10} \, {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} + 15\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - \frac{3}{20} \, {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 20 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 2 \, \sqrt{5} + 42} + 10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} + 10}}{40 \, {\left(x^{4} + x^{2} - 1\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{50} \, \sqrt{5} - \frac{1}{2} \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} + \frac{1}{10}} \log\left(\frac{18760 \, x^{4} - {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{3} - 20 \, {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - {\left(142 \, x^{4} - 64 \, x^{2} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 16 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 11720 \, x^{2} + 60 \, {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - {\left(1920 \, x^{4} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - 1020 \, x^{2} + 20 \, {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 20 \, \sqrt{x^{4} + 1} {\left(74 \, x^{2} - 51\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 2320 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} + {\left({\left(120 \, x^{5} + 420 \, x^{3} + {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 10 \, \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 270 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} + {\left(1760 \, x^{5} + 6160 \, x^{3} + {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 20 \, {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 20 \, \sqrt{x^{4} + 1} {\left(88 \, x^{3} - 31 \, x\right)} - 3960 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - {\left(17400 \, x^{5} - {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{3} + 54800 \, x^{3} - 20 \, {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 60 \, {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 600 \, \sqrt{x^{4} + 1} {\left(29 \, x^{3} - 22 \, x\right)} - 42200 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\right)} \sqrt{-\frac{1}{50} \, \sqrt{5} - \frac{1}{2} \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} + \frac{1}{10}}}{20 \, {\left(x^{4} + x^{2} - 1\right)}}\right) - \frac{1}{2} \, \sqrt{-\frac{1}{50} \, \sqrt{5} - \frac{1}{2} \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} + \frac{1}{10}} \log\left(\frac{18760 \, x^{4} - {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{3} - 20 \, {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - {\left(142 \, x^{4} - 64 \, x^{2} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 16 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} - 11720 \, x^{2} + 60 \, {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - {\left(1920 \, x^{4} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - 1020 \, x^{2} + 20 \, {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + 20 \, \sqrt{x^{4} + 1} {\left(74 \, x^{2} - 51\right)}\right)} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} + 2320 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)} - {\left({\left(120 \, x^{5} + 420 \, x^{3} + {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 10 \, \sqrt{x^{4} + 1} {\left(12 \, x^{3} - 7 \, x\right)} - 270 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)}^{2} + {\left(1760 \, x^{5} + 6160 \, x^{3} + {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 20 \, {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 20 \, \sqrt{x^{4} + 1} {\left(88 \, x^{3} - 31 \, x\right)} - 3960 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(\sqrt{5} + 25 \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} - 5\right)} - {\left(17400 \, x^{5} - {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{3} + 54800 \, x^{3} - 20 \, {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 60 \, {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 600 \, \sqrt{x^{4} + 1} {\left(29 \, x^{3} - 22 \, x\right)} - 42200 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\right)} \sqrt{-\frac{1}{50} \, \sqrt{5} - \frac{1}{2} \, \sqrt{-\frac{8}{125} \, \sqrt{5} + \frac{4}{25}} + \frac{1}{10}}}{20 \, {\left(x^{4} + x^{2} - 1\right)}}\right) + \frac{1}{2} \, \sqrt{-\frac{1}{5} \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + \frac{1}{50} \, \sqrt{5} + \frac{1}{10}} \log\left(\frac{3560 \, x^{4} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{3} + 2 \, {\left(119 \, x^{4} - 88 \, x^{2} + 22 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - 2120 \, x^{2} - 20 \, {\left(153 \, x^{4} - 87 \, x^{2} + \sqrt{x^{4} + 1} {\left(137 \, x^{2} - 87\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} + {\left(25000 \, x^{5} - {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{3} - 28400 \, x^{3} - 10 \, {\left(94 \, x^{5} + 24 \, x^{3} - \sqrt{x^{4} + 1} {\left(94 \, x^{3} - 65 \, x\right)} - 59 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 20 \, {\left(247 \, x^{5} + 407 \, x^{3} - \sqrt{x^{4} + 1} {\left(247 \, x^{3} - 139 \, x\right)} - 327 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 200 \, \sqrt{x^{4} + 1} {\left(125 \, x^{3} - 78 \, x\right)} + 7800 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{-\frac{1}{5} \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + \frac{1}{50} \, \sqrt{5} + \frac{1}{10}} - 80 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}}{20 \, {\left(x^{4} + x^{2} - 1\right)}}\right) - \frac{1}{2} \, \sqrt{-\frac{1}{5} \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + \frac{1}{50} \, \sqrt{5} + \frac{1}{10}} \log\left(\frac{3560 \, x^{4} + {\left(19 \, x^{4} - 12 \, x^{2} + 3 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{3} + 2 \, {\left(119 \, x^{4} - 88 \, x^{2} + 22 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} - 2120 \, x^{2} - 20 \, {\left(153 \, x^{4} - 87 \, x^{2} + \sqrt{x^{4} + 1} {\left(137 \, x^{2} - 87\right)}\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - {\left(25000 \, x^{5} - {\left(53 \, x^{5} + 33 \, x^{3} - \sqrt{x^{4} + 1} {\left(53 \, x^{3} - 36 \, x\right)} - 43 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{3} - 28400 \, x^{3} - 10 \, {\left(94 \, x^{5} + 24 \, x^{3} - \sqrt{x^{4} + 1} {\left(94 \, x^{3} - 65 \, x\right)} - 59 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)}^{2} + 20 \, {\left(247 \, x^{5} + 407 \, x^{3} - \sqrt{x^{4} + 1} {\left(247 \, x^{3} - 139 \, x\right)} - 327 \, x\right)} {\left(10 \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} - \sqrt{5} - 5\right)} - 200 \, \sqrt{x^{4} + 1} {\left(125 \, x^{3} - 78 \, x\right)} + 7800 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{-\frac{1}{5} \, \sqrt{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 5} + \frac{1}{50} \, \sqrt{5} + \frac{1}{10}} - 80 \, \sqrt{x^{4} + 1} {\left(7 \, x^{2} - 4\right)}}{20 \, {\left(x^{4} + x^{2} - 1\right)}}\right)"," ",0,"1/4*sqrt(2)*log(4*x^4 + 4*sqrt(x^4 + 1)*x^2 + 2*(sqrt(2)*x^3 + sqrt(2)*sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1) - 1/20*sqrt(-2*sqrt(5)*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42) + 10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 25*sqrt(-8/125*sqrt(5) + 4/25) + 10)*log(1/40*(20800*x^4 + 20*(71*x^4 - 32*x^2 + 8*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 10*(142*x^4 - 64*x^2 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 16*sqrt(x^4 + 1)*(7*x^2 - 4))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 105600*x^2 + 200*(96*x^4 - 51*x^2 + sqrt(x^4 + 1)*(74*x^2 - 51))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 10*(1920*x^4 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1020*x^2 + 20*(19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 20*sqrt(x^4 + 1)*(74*x^2 - 51))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 800*sqrt(x^4 + 1)*(48*x^2 - 71) + 20*(20*sqrt(5)*sqrt(x^4 + 1)*(38*x^2 - 13) + 2*(8*sqrt(5)*sqrt(x^4 + 1)*(7*x^2 - 4) + sqrt(5)*(71*x^4 - 32*x^2))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + (16*sqrt(5)*sqrt(x^4 + 1)*(7*x^2 - 4) + (3*sqrt(5)*sqrt(x^4 + 1)*(7*x^2 - 4) + sqrt(5)*(19*x^4 - 12*x^2))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 2*sqrt(5)*(71*x^4 - 32*x^2))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 20*sqrt(5)*(46*x^4 - 13*x^2))*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42) + ((120*x^5 + 420*x^3 + (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 10*sqrt(x^4 + 1)*(12*x^3 - 7*x) - 270*x)*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 + (1760*x^5 + 6160*x^3 + (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 20*(53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 20*sqrt(x^4 + 1)*(88*x^3 - 31*x) - 3960*x)*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 10*(760*x^5 + 1440*x^3 + (12*x^5 + 42*x^3 - sqrt(x^4 + 1)*(12*x^3 - 7*x) - 27*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 2*(88*x^5 + 308*x^3 - sqrt(x^4 + 1)*(88*x^3 - 31*x) - 198*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 40*sqrt(x^4 + 1)*(19*x^3 - 6*x) - 2320*x)*sqrt(x^2 + sqrt(x^4 + 1)) - 2*((10*sqrt(5)*sqrt(x^4 + 1)*(12*x^3 - 7*x) + (sqrt(5)*sqrt(x^4 + 1)*(53*x^3 - 36*x) - sqrt(5)*(53*x^5 + 33*x^3 - 43*x))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 30*sqrt(5)*(4*x^5 + 14*x^3 - 9*x))*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 10*(2*sqrt(5)*sqrt(x^4 + 1)*(32*x^3 - 39*x) + (sqrt(5)*sqrt(x^4 + 1)*(12*x^3 - 7*x) - 3*sqrt(5)*(4*x^5 + 14*x^3 - 9*x))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 16*sqrt(5)*(4*x^5 + 14*x^3 - 9*x))*sqrt(x^2 + sqrt(x^4 + 1)))*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42))*sqrt(-2*sqrt(5)*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42) + 10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 25*sqrt(-8/125*sqrt(5) + 4/25) + 10))/(x^4 + x^2 - 1)) + 1/20*sqrt(-2*sqrt(5)*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42) + 10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 25*sqrt(-8/125*sqrt(5) + 4/25) + 10)*log(1/40*(20800*x^4 + 20*(71*x^4 - 32*x^2 + 8*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 10*(142*x^4 - 64*x^2 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 16*sqrt(x^4 + 1)*(7*x^2 - 4))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 105600*x^2 + 200*(96*x^4 - 51*x^2 + sqrt(x^4 + 1)*(74*x^2 - 51))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 10*(1920*x^4 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1020*x^2 + 20*(19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 20*sqrt(x^4 + 1)*(74*x^2 - 51))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 800*sqrt(x^4 + 1)*(48*x^2 - 71) + 20*(20*sqrt(5)*sqrt(x^4 + 1)*(38*x^2 - 13) + 2*(8*sqrt(5)*sqrt(x^4 + 1)*(7*x^2 - 4) + sqrt(5)*(71*x^4 - 32*x^2))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + (16*sqrt(5)*sqrt(x^4 + 1)*(7*x^2 - 4) + (3*sqrt(5)*sqrt(x^4 + 1)*(7*x^2 - 4) + sqrt(5)*(19*x^4 - 12*x^2))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 2*sqrt(5)*(71*x^4 - 32*x^2))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 20*sqrt(5)*(46*x^4 - 13*x^2))*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42) - ((120*x^5 + 420*x^3 + (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 10*sqrt(x^4 + 1)*(12*x^3 - 7*x) - 270*x)*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 + (1760*x^5 + 6160*x^3 + (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 20*(53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 20*sqrt(x^4 + 1)*(88*x^3 - 31*x) - 3960*x)*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 10*(760*x^5 + 1440*x^3 + (12*x^5 + 42*x^3 - sqrt(x^4 + 1)*(12*x^3 - 7*x) - 27*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 2*(88*x^5 + 308*x^3 - sqrt(x^4 + 1)*(88*x^3 - 31*x) - 198*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 40*sqrt(x^4 + 1)*(19*x^3 - 6*x) - 2320*x)*sqrt(x^2 + sqrt(x^4 + 1)) - 2*((10*sqrt(5)*sqrt(x^4 + 1)*(12*x^3 - 7*x) + (sqrt(5)*sqrt(x^4 + 1)*(53*x^3 - 36*x) - sqrt(5)*(53*x^5 + 33*x^3 - 43*x))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 30*sqrt(5)*(4*x^5 + 14*x^3 - 9*x))*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 10*(2*sqrt(5)*sqrt(x^4 + 1)*(32*x^3 - 39*x) + (sqrt(5)*sqrt(x^4 + 1)*(12*x^3 - 7*x) - 3*sqrt(5)*(4*x^5 + 14*x^3 - 9*x))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 16*sqrt(5)*(4*x^5 + 14*x^3 - 9*x))*sqrt(x^2 + sqrt(x^4 + 1)))*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42))*sqrt(-2*sqrt(5)*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42) + 10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 25*sqrt(-8/125*sqrt(5) + 4/25) + 10))/(x^4 + x^2 - 1)) - 1/20*sqrt(2*sqrt(5)*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42) + 10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 25*sqrt(-8/125*sqrt(5) + 4/25) + 10)*log(1/40*(20800*x^4 + 20*(71*x^4 - 32*x^2 + 8*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 10*(142*x^4 - 64*x^2 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 16*sqrt(x^4 + 1)*(7*x^2 - 4))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 105600*x^2 + 200*(96*x^4 - 51*x^2 + sqrt(x^4 + 1)*(74*x^2 - 51))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 10*(1920*x^4 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1020*x^2 + 20*(19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 20*sqrt(x^4 + 1)*(74*x^2 - 51))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 800*sqrt(x^4 + 1)*(48*x^2 - 71) - 20*(20*sqrt(5)*sqrt(x^4 + 1)*(38*x^2 - 13) + 2*(8*sqrt(5)*sqrt(x^4 + 1)*(7*x^2 - 4) + sqrt(5)*(71*x^4 - 32*x^2))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + (16*sqrt(5)*sqrt(x^4 + 1)*(7*x^2 - 4) + (3*sqrt(5)*sqrt(x^4 + 1)*(7*x^2 - 4) + sqrt(5)*(19*x^4 - 12*x^2))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 2*sqrt(5)*(71*x^4 - 32*x^2))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 20*sqrt(5)*(46*x^4 - 13*x^2))*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42) + ((120*x^5 + 420*x^3 + (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 10*sqrt(x^4 + 1)*(12*x^3 - 7*x) - 270*x)*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 + (1760*x^5 + 6160*x^3 + (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 20*(53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 20*sqrt(x^4 + 1)*(88*x^3 - 31*x) - 3960*x)*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 10*(760*x^5 + 1440*x^3 + (12*x^5 + 42*x^3 - sqrt(x^4 + 1)*(12*x^3 - 7*x) - 27*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 2*(88*x^5 + 308*x^3 - sqrt(x^4 + 1)*(88*x^3 - 31*x) - 198*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 40*sqrt(x^4 + 1)*(19*x^3 - 6*x) - 2320*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 2*((10*sqrt(5)*sqrt(x^4 + 1)*(12*x^3 - 7*x) + (sqrt(5)*sqrt(x^4 + 1)*(53*x^3 - 36*x) - sqrt(5)*(53*x^5 + 33*x^3 - 43*x))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 30*sqrt(5)*(4*x^5 + 14*x^3 - 9*x))*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 10*(2*sqrt(5)*sqrt(x^4 + 1)*(32*x^3 - 39*x) + (sqrt(5)*sqrt(x^4 + 1)*(12*x^3 - 7*x) - 3*sqrt(5)*(4*x^5 + 14*x^3 - 9*x))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 16*sqrt(5)*(4*x^5 + 14*x^3 - 9*x))*sqrt(x^2 + sqrt(x^4 + 1)))*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42))*sqrt(2*sqrt(5)*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42) + 10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 25*sqrt(-8/125*sqrt(5) + 4/25) + 10))/(x^4 + x^2 - 1)) + 1/20*sqrt(2*sqrt(5)*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42) + 10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 25*sqrt(-8/125*sqrt(5) + 4/25) + 10)*log(1/40*(20800*x^4 + 20*(71*x^4 - 32*x^2 + 8*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 10*(142*x^4 - 64*x^2 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 16*sqrt(x^4 + 1)*(7*x^2 - 4))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 105600*x^2 + 200*(96*x^4 - 51*x^2 + sqrt(x^4 + 1)*(74*x^2 - 51))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 10*(1920*x^4 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1020*x^2 + 20*(19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 20*sqrt(x^4 + 1)*(74*x^2 - 51))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 800*sqrt(x^4 + 1)*(48*x^2 - 71) - 20*(20*sqrt(5)*sqrt(x^4 + 1)*(38*x^2 - 13) + 2*(8*sqrt(5)*sqrt(x^4 + 1)*(7*x^2 - 4) + sqrt(5)*(71*x^4 - 32*x^2))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + (16*sqrt(5)*sqrt(x^4 + 1)*(7*x^2 - 4) + (3*sqrt(5)*sqrt(x^4 + 1)*(7*x^2 - 4) + sqrt(5)*(19*x^4 - 12*x^2))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 2*sqrt(5)*(71*x^4 - 32*x^2))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 20*sqrt(5)*(46*x^4 - 13*x^2))*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42) - ((120*x^5 + 420*x^3 + (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 10*sqrt(x^4 + 1)*(12*x^3 - 7*x) - 270*x)*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 + (1760*x^5 + 6160*x^3 + (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 20*(53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 20*sqrt(x^4 + 1)*(88*x^3 - 31*x) - 3960*x)*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 10*(760*x^5 + 1440*x^3 + (12*x^5 + 42*x^3 - sqrt(x^4 + 1)*(12*x^3 - 7*x) - 27*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 2*(88*x^5 + 308*x^3 - sqrt(x^4 + 1)*(88*x^3 - 31*x) - 198*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 40*sqrt(x^4 + 1)*(19*x^3 - 6*x) - 2320*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 2*((10*sqrt(5)*sqrt(x^4 + 1)*(12*x^3 - 7*x) + (sqrt(5)*sqrt(x^4 + 1)*(53*x^3 - 36*x) - sqrt(5)*(53*x^5 + 33*x^3 - 43*x))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 30*sqrt(5)*(4*x^5 + 14*x^3 - 9*x))*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 10*(2*sqrt(5)*sqrt(x^4 + 1)*(32*x^3 - 39*x) + (sqrt(5)*sqrt(x^4 + 1)*(12*x^3 - 7*x) - 3*sqrt(5)*(4*x^5 + 14*x^3 - 9*x))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 16*sqrt(5)*(4*x^5 + 14*x^3 - 9*x))*sqrt(x^2 + sqrt(x^4 + 1)))*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42))*sqrt(2*sqrt(5)*sqrt(-3/20*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1/10*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) + 15)*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - 3/20*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 20*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 2*sqrt(5) + 42) + 10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 25*sqrt(-8/125*sqrt(5) + 4/25) + 10))/(x^4 + x^2 - 1)) + 1/2*sqrt(-1/50*sqrt(5) - 1/2*sqrt(-8/125*sqrt(5) + 4/25) + 1/10)*log(1/20*(18760*x^4 - (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^3 - 20*(19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - (142*x^4 - 64*x^2 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 16*sqrt(x^4 + 1)*(7*x^2 - 4))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 11720*x^2 + 60*(19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - (1920*x^4 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1020*x^2 + 20*(19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 20*sqrt(x^4 + 1)*(74*x^2 - 51))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 2320*sqrt(x^4 + 1)*(7*x^2 - 4) + ((120*x^5 + 420*x^3 + (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 10*sqrt(x^4 + 1)*(12*x^3 - 7*x) - 270*x)*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 + (1760*x^5 + 6160*x^3 + (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 20*(53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 20*sqrt(x^4 + 1)*(88*x^3 - 31*x) - 3960*x)*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - (17400*x^5 - (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^3 + 54800*x^3 - 20*(53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 60*(53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 600*sqrt(x^4 + 1)*(29*x^3 - 22*x) - 42200*x)*sqrt(x^2 + sqrt(x^4 + 1)))*sqrt(-1/50*sqrt(5) - 1/2*sqrt(-8/125*sqrt(5) + 4/25) + 1/10))/(x^4 + x^2 - 1)) - 1/2*sqrt(-1/50*sqrt(5) - 1/2*sqrt(-8/125*sqrt(5) + 4/25) + 1/10)*log(1/20*(18760*x^4 - (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^3 - 20*(19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - (142*x^4 - 64*x^2 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 16*sqrt(x^4 + 1)*(7*x^2 - 4))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 - 11720*x^2 + 60*(19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - (1920*x^4 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 1020*x^2 + 20*(19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + 20*sqrt(x^4 + 1)*(74*x^2 - 51))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) + 2320*sqrt(x^4 + 1)*(7*x^2 - 4) - ((120*x^5 + 420*x^3 + (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 10*sqrt(x^4 + 1)*(12*x^3 - 7*x) - 270*x)*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5)^2 + (1760*x^5 + 6160*x^3 + (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 20*(53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 20*sqrt(x^4 + 1)*(88*x^3 - 31*x) - 3960*x)*sqrt(x^2 + sqrt(x^4 + 1))*(sqrt(5) + 25*sqrt(-8/125*sqrt(5) + 4/25) - 5) - (17400*x^5 - (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^3 + 54800*x^3 - 20*(53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 60*(53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 600*sqrt(x^4 + 1)*(29*x^3 - 22*x) - 42200*x)*sqrt(x^2 + sqrt(x^4 + 1)))*sqrt(-1/50*sqrt(5) - 1/2*sqrt(-8/125*sqrt(5) + 4/25) + 1/10))/(x^4 + x^2 - 1)) + 1/2*sqrt(-1/5*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 1/50*sqrt(5) + 1/10)*log(1/20*(3560*x^4 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^3 + 2*(119*x^4 - 88*x^2 + 22*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 2120*x^2 - 20*(153*x^4 - 87*x^2 + sqrt(x^4 + 1)*(137*x^2 - 87))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) + (25000*x^5 - (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^3 - 28400*x^3 - 10*(94*x^5 + 24*x^3 - sqrt(x^4 + 1)*(94*x^3 - 65*x) - 59*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 20*(247*x^5 + 407*x^3 - sqrt(x^4 + 1)*(247*x^3 - 139*x) - 327*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 200*sqrt(x^4 + 1)*(125*x^3 - 78*x) + 7800*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(-1/5*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 1/50*sqrt(5) + 1/10) - 80*sqrt(x^4 + 1)*(7*x^2 - 4))/(x^4 + x^2 - 1)) - 1/2*sqrt(-1/5*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 1/50*sqrt(5) + 1/10)*log(1/20*(3560*x^4 + (19*x^4 - 12*x^2 + 3*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^3 + 2*(119*x^4 - 88*x^2 + 22*sqrt(x^4 + 1)*(7*x^2 - 4))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 - 2120*x^2 - 20*(153*x^4 - 87*x^2 + sqrt(x^4 + 1)*(137*x^2 - 87))*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - (25000*x^5 - (53*x^5 + 33*x^3 - sqrt(x^4 + 1)*(53*x^3 - 36*x) - 43*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^3 - 28400*x^3 - 10*(94*x^5 + 24*x^3 - sqrt(x^4 + 1)*(94*x^3 - 65*x) - 59*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5)^2 + 20*(247*x^5 + 407*x^3 - sqrt(x^4 + 1)*(247*x^3 - 139*x) - 327*x)*(10*sqrt(1/5)*sqrt(2*sqrt(5) + 5) - sqrt(5) - 5) - 200*sqrt(x^4 + 1)*(125*x^3 - 78*x) + 7800*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(-1/5*sqrt(1/5)*sqrt(2*sqrt(5) + 5) + 1/50*sqrt(5) + 1/10) - 80*sqrt(x^4 + 1)*(7*x^2 - 4))/(x^4 + x^2 - 1))","B",0
2994,1,341,0,0.513145," ","integrate((a^2*x^2-b)^(1/2)*(c*x^4+d)*(a*x+(a^2*x^2-b)^(1/2))^(1/2)/x,x, algorithm=""fricas"")","\frac{13860 \, \left(-b^{3} d^{4}\right)^{\frac{1}{4}} a^{4} \arctan\left(-\frac{\left(-b^{3} d^{4}\right)^{\frac{1}{4}} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} b^{2} d^{3} - \sqrt{a b^{4} d^{6} x + \sqrt{a^{2} x^{2} - b} b^{4} d^{6} - \sqrt{-b^{3} d^{4}} b^{3} d^{4}} \left(-b^{3} d^{4}\right)^{\frac{1}{4}}}{b^{3} d^{4}}\right) - 3465 \, \left(-b^{3} d^{4}\right)^{\frac{1}{4}} a^{4} \log\left(\sqrt{a x + \sqrt{a^{2} x^{2} - b}} b^{2} d^{3} + \left(-b^{3} d^{4}\right)^{\frac{3}{4}}\right) + 3465 \, \left(-b^{3} d^{4}\right)^{\frac{1}{4}} a^{4} \log\left(\sqrt{a x + \sqrt{a^{2} x^{2} - b}} b^{2} d^{3} - \left(-b^{3} d^{4}\right)^{\frac{3}{4}}\right) - 2 \, {\left(35 \, a^{5} c x^{5} - 19 \, a^{3} b c x^{3} + {\left(1155 \, a^{5} d - 152 \, a b^{2} c\right)} x - 2 \, {\left(175 \, a^{4} c x^{4} - 57 \, a^{2} b c x^{2} + 1155 \, a^{4} d - 152 \, b^{2} c\right)} \sqrt{a^{2} x^{2} - b}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}}}{3465 \, a^{4}}"," ",0,"1/3465*(13860*(-b^3*d^4)^(1/4)*a^4*arctan(-((-b^3*d^4)^(1/4)*sqrt(a*x + sqrt(a^2*x^2 - b))*b^2*d^3 - sqrt(a*b^4*d^6*x + sqrt(a^2*x^2 - b)*b^4*d^6 - sqrt(-b^3*d^4)*b^3*d^4)*(-b^3*d^4)^(1/4))/(b^3*d^4)) - 3465*(-b^3*d^4)^(1/4)*a^4*log(sqrt(a*x + sqrt(a^2*x^2 - b))*b^2*d^3 + (-b^3*d^4)^(3/4)) + 3465*(-b^3*d^4)^(1/4)*a^4*log(sqrt(a*x + sqrt(a^2*x^2 - b))*b^2*d^3 - (-b^3*d^4)^(3/4)) - 2*(35*a^5*c*x^5 - 19*a^3*b*c*x^3 + (1155*a^5*d - 152*a*b^2*c)*x - 2*(175*a^4*c*x^4 - 57*a^2*b*c*x^2 + 1155*a^4*d - 152*b^2*c)*sqrt(a^2*x^2 - b))*sqrt(a*x + sqrt(a^2*x^2 - b)))/a^4","A",0
2995,-1,0,0,0.000000," ","integrate((a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(c*x^2+d),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2996,-1,0,0,0.000000," ","integrate((a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(c*x^2+d),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2997,-1,0,0,0.000000," ","integrate(x^5*(10*a*x^3+7*b)/(a*x^6+b*x^3)^(1/4)/(a*x^10+b*x^7+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2998,1,2875,0,15.794232," ","integrate(x^4*(p*x^3-2*q)*(p*x^3+q)^(1/2)/(b*x^8+a*(p*x^3+q)^4),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{2} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{1}{8}} \arctan\left(-\frac{{\left(\sqrt{2} a b^{2} x^{2} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{3}{8}} + \sqrt{2} {\left(a^{2} b^{3} p x^{3} + a^{2} b^{3} q\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{5}{8}}\right)} \sqrt{p x^{3} + q} + {\left(2 \, p x^{4} + 2 \, q x + {\left(\sqrt{2} a b^{2} x^{2} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{3}{8}} - \sqrt{2} {\left(a^{2} b^{3} p x^{3} + a^{2} b^{3} q\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{5}{8}}\right)} \sqrt{p x^{3} + q}\right)} \sqrt{\frac{a p^{4} x^{12} + 4 \, a p^{3} q x^{9} + 6 \, a p^{2} q^{2} x^{6} + b x^{8} + 4 \, a p q^{3} x^{3} + a q^{4} + 4 \, {\left(a^{3} b^{4} p^{3} x^{11} + 3 \, a^{3} b^{4} p^{2} q x^{8} + 3 \, a^{3} b^{4} p q^{2} x^{5} + a^{3} b^{4} q^{3} x^{2}\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{3}{4}} + 2 \, {\left(\sqrt{2} a^{2} b^{4} x^{7} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{5}{8}} - \sqrt{2} {\left(a^{3} b^{5} p x^{8} + a^{3} b^{5} q x^{5}\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{7}{8}} - \sqrt{2} {\left(a^{2} b^{2} p^{3} x^{10} + 3 \, a^{2} b^{2} p^{2} q x^{7} + 3 \, a^{2} b^{2} p q^{2} x^{4} + a^{2} b^{2} q^{3} x\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{3}{8}} + \sqrt{2} {\left(a b p^{2} x^{9} + 2 \, a b p q x^{6} + a b q^{2} x^{3}\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{1}{8}}\right)} \sqrt{p x^{3} + q} - 4 \, {\left(a b^{2} p x^{9} + a b^{2} q x^{6}\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{1}{4}}}{a p^{4} x^{12} + 4 \, a p^{3} q x^{9} + 6 \, a p^{2} q^{2} x^{6} + b x^{8} + 4 \, a p q^{3} x^{3} + a q^{4}}}}{2 \, {\left(p x^{4} + q x\right)}}\right) - \frac{1}{4} \, \sqrt{2} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{1}{8}} \arctan\left(-\frac{{\left(\sqrt{2} a b^{2} x^{2} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{3}{8}} + \sqrt{2} {\left(a^{2} b^{3} p x^{3} + a^{2} b^{3} q\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{5}{8}}\right)} \sqrt{p x^{3} + q} - {\left(2 \, p x^{4} + 2 \, q x - {\left(\sqrt{2} a b^{2} x^{2} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{3}{8}} - \sqrt{2} {\left(a^{2} b^{3} p x^{3} + a^{2} b^{3} q\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{5}{8}}\right)} \sqrt{p x^{3} + q}\right)} \sqrt{\frac{a p^{4} x^{12} + 4 \, a p^{3} q x^{9} + 6 \, a p^{2} q^{2} x^{6} + b x^{8} + 4 \, a p q^{3} x^{3} + a q^{4} + 4 \, {\left(a^{3} b^{4} p^{3} x^{11} + 3 \, a^{3} b^{4} p^{2} q x^{8} + 3 \, a^{3} b^{4} p q^{2} x^{5} + a^{3} b^{4} q^{3} x^{2}\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{3}{4}} - 2 \, {\left(\sqrt{2} a^{2} b^{4} x^{7} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{5}{8}} - \sqrt{2} {\left(a^{3} b^{5} p x^{8} + a^{3} b^{5} q x^{5}\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{7}{8}} - \sqrt{2} {\left(a^{2} b^{2} p^{3} x^{10} + 3 \, a^{2} b^{2} p^{2} q x^{7} + 3 \, a^{2} b^{2} p q^{2} x^{4} + a^{2} b^{2} q^{3} x\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{3}{8}} + \sqrt{2} {\left(a b p^{2} x^{9} + 2 \, a b p q x^{6} + a b q^{2} x^{3}\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{1}{8}}\right)} \sqrt{p x^{3} + q} - 4 \, {\left(a b^{2} p x^{9} + a b^{2} q x^{6}\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{1}{4}}}{a p^{4} x^{12} + 4 \, a p^{3} q x^{9} + 6 \, a p^{2} q^{2} x^{6} + b x^{8} + 4 \, a p q^{3} x^{3} + a q^{4}}}}{2 \, {\left(p x^{4} + q x\right)}}\right) - \frac{1}{16} \, \sqrt{2} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{1}{8}} \log\left(\frac{a p^{4} x^{12} + 4 \, a p^{3} q x^{9} + 6 \, a p^{2} q^{2} x^{6} + b x^{8} + 4 \, a p q^{3} x^{3} + a q^{4} + 4 \, {\left(a^{3} b^{4} p^{3} x^{11} + 3 \, a^{3} b^{4} p^{2} q x^{8} + 3 \, a^{3} b^{4} p q^{2} x^{5} + a^{3} b^{4} q^{3} x^{2}\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{3}{4}} + 2 \, {\left(\sqrt{2} a^{2} b^{4} x^{7} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{5}{8}} - \sqrt{2} {\left(a^{3} b^{5} p x^{8} + a^{3} b^{5} q x^{5}\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{7}{8}} - \sqrt{2} {\left(a^{2} b^{2} p^{3} x^{10} + 3 \, a^{2} b^{2} p^{2} q x^{7} + 3 \, a^{2} b^{2} p q^{2} x^{4} + a^{2} b^{2} q^{3} x\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{3}{8}} + \sqrt{2} {\left(a b p^{2} x^{9} + 2 \, a b p q x^{6} + a b q^{2} x^{3}\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{1}{8}}\right)} \sqrt{p x^{3} + q} - 4 \, {\left(a b^{2} p x^{9} + a b^{2} q x^{6}\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{1}{4}}}{a p^{4} x^{12} + 4 \, a p^{3} q x^{9} + 6 \, a p^{2} q^{2} x^{6} + b x^{8} + 4 \, a p q^{3} x^{3} + a q^{4}}\right) + \frac{1}{16} \, \sqrt{2} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{1}{8}} \log\left(\frac{a p^{4} x^{12} + 4 \, a p^{3} q x^{9} + 6 \, a p^{2} q^{2} x^{6} + b x^{8} + 4 \, a p q^{3} x^{3} + a q^{4} + 4 \, {\left(a^{3} b^{4} p^{3} x^{11} + 3 \, a^{3} b^{4} p^{2} q x^{8} + 3 \, a^{3} b^{4} p q^{2} x^{5} + a^{3} b^{4} q^{3} x^{2}\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{3}{4}} - 2 \, {\left(\sqrt{2} a^{2} b^{4} x^{7} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{5}{8}} - \sqrt{2} {\left(a^{3} b^{5} p x^{8} + a^{3} b^{5} q x^{5}\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{7}{8}} - \sqrt{2} {\left(a^{2} b^{2} p^{3} x^{10} + 3 \, a^{2} b^{2} p^{2} q x^{7} + 3 \, a^{2} b^{2} p q^{2} x^{4} + a^{2} b^{2} q^{3} x\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{3}{8}} + \sqrt{2} {\left(a b p^{2} x^{9} + 2 \, a b p q x^{6} + a b q^{2} x^{3}\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{1}{8}}\right)} \sqrt{p x^{3} + q} - 4 \, {\left(a b^{2} p x^{9} + a b^{2} q x^{6}\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{1}{4}}}{a p^{4} x^{12} + 4 \, a p^{3} q x^{9} + 6 \, a p^{2} q^{2} x^{6} + b x^{8} + 4 \, a p q^{3} x^{3} + a q^{4}}\right) - \frac{1}{2} \, \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{1}{8}} \arctan\left(\frac{a b^{2} x \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{3}{8}}}{\sqrt{p x^{3} + q}}\right) - \frac{1}{8} \, \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{1}{8}} \log\left(\frac{a p^{4} x^{12} + 4 \, a p^{3} q x^{9} + 6 \, a p^{2} q^{2} x^{6} - b x^{8} + 4 \, a p q^{3} x^{3} + a q^{4} + 2 \, {\left(a^{3} b^{4} p^{3} x^{11} + 3 \, a^{3} b^{4} p^{2} q x^{8} + 3 \, a^{3} b^{4} p q^{2} x^{5} + a^{3} b^{4} q^{3} x^{2}\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{3}{4}} + 2 \, {\left(a^{2} b^{4} x^{7} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{5}{8}} - {\left(a^{3} b^{5} p x^{8} + a^{3} b^{5} q x^{5}\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{7}{8}} + {\left(a^{2} b^{2} p^{3} x^{10} + 3 \, a^{2} b^{2} p^{2} q x^{7} + 3 \, a^{2} b^{2} p q^{2} x^{4} + a^{2} b^{2} q^{3} x\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{3}{8}} - {\left(a b p^{2} x^{9} + 2 \, a b p q x^{6} + a b q^{2} x^{3}\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{1}{8}}\right)} \sqrt{p x^{3} + q} - 2 \, {\left(a^{2} b^{3} p^{2} x^{10} + 2 \, a^{2} b^{3} p q x^{7} + a^{2} b^{3} q^{2} x^{4}\right)} \sqrt{-\frac{1}{a^{3} b^{5}}} + 2 \, {\left(a b^{2} p x^{9} + a b^{2} q x^{6}\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{1}{4}}}{a p^{4} x^{12} + 4 \, a p^{3} q x^{9} + 6 \, a p^{2} q^{2} x^{6} + b x^{8} + 4 \, a p q^{3} x^{3} + a q^{4}}\right) + \frac{1}{8} \, \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{1}{8}} \log\left(\frac{a p^{4} x^{12} + 4 \, a p^{3} q x^{9} + 6 \, a p^{2} q^{2} x^{6} - b x^{8} + 4 \, a p q^{3} x^{3} + a q^{4} + 2 \, {\left(a^{3} b^{4} p^{3} x^{11} + 3 \, a^{3} b^{4} p^{2} q x^{8} + 3 \, a^{3} b^{4} p q^{2} x^{5} + a^{3} b^{4} q^{3} x^{2}\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{3}{4}} - 2 \, {\left(a^{2} b^{4} x^{7} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{5}{8}} - {\left(a^{3} b^{5} p x^{8} + a^{3} b^{5} q x^{5}\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{7}{8}} + {\left(a^{2} b^{2} p^{3} x^{10} + 3 \, a^{2} b^{2} p^{2} q x^{7} + 3 \, a^{2} b^{2} p q^{2} x^{4} + a^{2} b^{2} q^{3} x\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{3}{8}} - {\left(a b p^{2} x^{9} + 2 \, a b p q x^{6} + a b q^{2} x^{3}\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{1}{8}}\right)} \sqrt{p x^{3} + q} - 2 \, {\left(a^{2} b^{3} p^{2} x^{10} + 2 \, a^{2} b^{3} p q x^{7} + a^{2} b^{3} q^{2} x^{4}\right)} \sqrt{-\frac{1}{a^{3} b^{5}}} + 2 \, {\left(a b^{2} p x^{9} + a b^{2} q x^{6}\right)} \left(-\frac{1}{a^{3} b^{5}}\right)^{\frac{1}{4}}}{a p^{4} x^{12} + 4 \, a p^{3} q x^{9} + 6 \, a p^{2} q^{2} x^{6} + b x^{8} + 4 \, a p q^{3} x^{3} + a q^{4}}\right)"," ",0,"-1/4*sqrt(2)*(-1/(a^3*b^5))^(1/8)*arctan(-1/2*((sqrt(2)*a*b^2*x^2*(-1/(a^3*b^5))^(3/8) + sqrt(2)*(a^2*b^3*p*x^3 + a^2*b^3*q)*(-1/(a^3*b^5))^(5/8))*sqrt(p*x^3 + q) + (2*p*x^4 + 2*q*x + (sqrt(2)*a*b^2*x^2*(-1/(a^3*b^5))^(3/8) - sqrt(2)*(a^2*b^3*p*x^3 + a^2*b^3*q)*(-1/(a^3*b^5))^(5/8))*sqrt(p*x^3 + q))*sqrt((a*p^4*x^12 + 4*a*p^3*q*x^9 + 6*a*p^2*q^2*x^6 + b*x^8 + 4*a*p*q^3*x^3 + a*q^4 + 4*(a^3*b^4*p^3*x^11 + 3*a^3*b^4*p^2*q*x^8 + 3*a^3*b^4*p*q^2*x^5 + a^3*b^4*q^3*x^2)*(-1/(a^3*b^5))^(3/4) + 2*(sqrt(2)*a^2*b^4*x^7*(-1/(a^3*b^5))^(5/8) - sqrt(2)*(a^3*b^5*p*x^8 + a^3*b^5*q*x^5)*(-1/(a^3*b^5))^(7/8) - sqrt(2)*(a^2*b^2*p^3*x^10 + 3*a^2*b^2*p^2*q*x^7 + 3*a^2*b^2*p*q^2*x^4 + a^2*b^2*q^3*x)*(-1/(a^3*b^5))^(3/8) + sqrt(2)*(a*b*p^2*x^9 + 2*a*b*p*q*x^6 + a*b*q^2*x^3)*(-1/(a^3*b^5))^(1/8))*sqrt(p*x^3 + q) - 4*(a*b^2*p*x^9 + a*b^2*q*x^6)*(-1/(a^3*b^5))^(1/4))/(a*p^4*x^12 + 4*a*p^3*q*x^9 + 6*a*p^2*q^2*x^6 + b*x^8 + 4*a*p*q^3*x^3 + a*q^4)))/(p*x^4 + q*x)) - 1/4*sqrt(2)*(-1/(a^3*b^5))^(1/8)*arctan(-1/2*((sqrt(2)*a*b^2*x^2*(-1/(a^3*b^5))^(3/8) + sqrt(2)*(a^2*b^3*p*x^3 + a^2*b^3*q)*(-1/(a^3*b^5))^(5/8))*sqrt(p*x^3 + q) - (2*p*x^4 + 2*q*x - (sqrt(2)*a*b^2*x^2*(-1/(a^3*b^5))^(3/8) - sqrt(2)*(a^2*b^3*p*x^3 + a^2*b^3*q)*(-1/(a^3*b^5))^(5/8))*sqrt(p*x^3 + q))*sqrt((a*p^4*x^12 + 4*a*p^3*q*x^9 + 6*a*p^2*q^2*x^6 + b*x^8 + 4*a*p*q^3*x^3 + a*q^4 + 4*(a^3*b^4*p^3*x^11 + 3*a^3*b^4*p^2*q*x^8 + 3*a^3*b^4*p*q^2*x^5 + a^3*b^4*q^3*x^2)*(-1/(a^3*b^5))^(3/4) - 2*(sqrt(2)*a^2*b^4*x^7*(-1/(a^3*b^5))^(5/8) - sqrt(2)*(a^3*b^5*p*x^8 + a^3*b^5*q*x^5)*(-1/(a^3*b^5))^(7/8) - sqrt(2)*(a^2*b^2*p^3*x^10 + 3*a^2*b^2*p^2*q*x^7 + 3*a^2*b^2*p*q^2*x^4 + a^2*b^2*q^3*x)*(-1/(a^3*b^5))^(3/8) + sqrt(2)*(a*b*p^2*x^9 + 2*a*b*p*q*x^6 + a*b*q^2*x^3)*(-1/(a^3*b^5))^(1/8))*sqrt(p*x^3 + q) - 4*(a*b^2*p*x^9 + a*b^2*q*x^6)*(-1/(a^3*b^5))^(1/4))/(a*p^4*x^12 + 4*a*p^3*q*x^9 + 6*a*p^2*q^2*x^6 + b*x^8 + 4*a*p*q^3*x^3 + a*q^4)))/(p*x^4 + q*x)) - 1/16*sqrt(2)*(-1/(a^3*b^5))^(1/8)*log((a*p^4*x^12 + 4*a*p^3*q*x^9 + 6*a*p^2*q^2*x^6 + b*x^8 + 4*a*p*q^3*x^3 + a*q^4 + 4*(a^3*b^4*p^3*x^11 + 3*a^3*b^4*p^2*q*x^8 + 3*a^3*b^4*p*q^2*x^5 + a^3*b^4*q^3*x^2)*(-1/(a^3*b^5))^(3/4) + 2*(sqrt(2)*a^2*b^4*x^7*(-1/(a^3*b^5))^(5/8) - sqrt(2)*(a^3*b^5*p*x^8 + a^3*b^5*q*x^5)*(-1/(a^3*b^5))^(7/8) - sqrt(2)*(a^2*b^2*p^3*x^10 + 3*a^2*b^2*p^2*q*x^7 + 3*a^2*b^2*p*q^2*x^4 + a^2*b^2*q^3*x)*(-1/(a^3*b^5))^(3/8) + sqrt(2)*(a*b*p^2*x^9 + 2*a*b*p*q*x^6 + a*b*q^2*x^3)*(-1/(a^3*b^5))^(1/8))*sqrt(p*x^3 + q) - 4*(a*b^2*p*x^9 + a*b^2*q*x^6)*(-1/(a^3*b^5))^(1/4))/(a*p^4*x^12 + 4*a*p^3*q*x^9 + 6*a*p^2*q^2*x^6 + b*x^8 + 4*a*p*q^3*x^3 + a*q^4)) + 1/16*sqrt(2)*(-1/(a^3*b^5))^(1/8)*log((a*p^4*x^12 + 4*a*p^3*q*x^9 + 6*a*p^2*q^2*x^6 + b*x^8 + 4*a*p*q^3*x^3 + a*q^4 + 4*(a^3*b^4*p^3*x^11 + 3*a^3*b^4*p^2*q*x^8 + 3*a^3*b^4*p*q^2*x^5 + a^3*b^4*q^3*x^2)*(-1/(a^3*b^5))^(3/4) - 2*(sqrt(2)*a^2*b^4*x^7*(-1/(a^3*b^5))^(5/8) - sqrt(2)*(a^3*b^5*p*x^8 + a^3*b^5*q*x^5)*(-1/(a^3*b^5))^(7/8) - sqrt(2)*(a^2*b^2*p^3*x^10 + 3*a^2*b^2*p^2*q*x^7 + 3*a^2*b^2*p*q^2*x^4 + a^2*b^2*q^3*x)*(-1/(a^3*b^5))^(3/8) + sqrt(2)*(a*b*p^2*x^9 + 2*a*b*p*q*x^6 + a*b*q^2*x^3)*(-1/(a^3*b^5))^(1/8))*sqrt(p*x^3 + q) - 4*(a*b^2*p*x^9 + a*b^2*q*x^6)*(-1/(a^3*b^5))^(1/4))/(a*p^4*x^12 + 4*a*p^3*q*x^9 + 6*a*p^2*q^2*x^6 + b*x^8 + 4*a*p*q^3*x^3 + a*q^4)) - 1/2*(-1/(a^3*b^5))^(1/8)*arctan(a*b^2*x*(-1/(a^3*b^5))^(3/8)/sqrt(p*x^3 + q)) - 1/8*(-1/(a^3*b^5))^(1/8)*log((a*p^4*x^12 + 4*a*p^3*q*x^9 + 6*a*p^2*q^2*x^6 - b*x^8 + 4*a*p*q^3*x^3 + a*q^4 + 2*(a^3*b^4*p^3*x^11 + 3*a^3*b^4*p^2*q*x^8 + 3*a^3*b^4*p*q^2*x^5 + a^3*b^4*q^3*x^2)*(-1/(a^3*b^5))^(3/4) + 2*(a^2*b^4*x^7*(-1/(a^3*b^5))^(5/8) - (a^3*b^5*p*x^8 + a^3*b^5*q*x^5)*(-1/(a^3*b^5))^(7/8) + (a^2*b^2*p^3*x^10 + 3*a^2*b^2*p^2*q*x^7 + 3*a^2*b^2*p*q^2*x^4 + a^2*b^2*q^3*x)*(-1/(a^3*b^5))^(3/8) - (a*b*p^2*x^9 + 2*a*b*p*q*x^6 + a*b*q^2*x^3)*(-1/(a^3*b^5))^(1/8))*sqrt(p*x^3 + q) - 2*(a^2*b^3*p^2*x^10 + 2*a^2*b^3*p*q*x^7 + a^2*b^3*q^2*x^4)*sqrt(-1/(a^3*b^5)) + 2*(a*b^2*p*x^9 + a*b^2*q*x^6)*(-1/(a^3*b^5))^(1/4))/(a*p^4*x^12 + 4*a*p^3*q*x^9 + 6*a*p^2*q^2*x^6 + b*x^8 + 4*a*p*q^3*x^3 + a*q^4)) + 1/8*(-1/(a^3*b^5))^(1/8)*log((a*p^4*x^12 + 4*a*p^3*q*x^9 + 6*a*p^2*q^2*x^6 - b*x^8 + 4*a*p*q^3*x^3 + a*q^4 + 2*(a^3*b^4*p^3*x^11 + 3*a^3*b^4*p^2*q*x^8 + 3*a^3*b^4*p*q^2*x^5 + a^3*b^4*q^3*x^2)*(-1/(a^3*b^5))^(3/4) - 2*(a^2*b^4*x^7*(-1/(a^3*b^5))^(5/8) - (a^3*b^5*p*x^8 + a^3*b^5*q*x^5)*(-1/(a^3*b^5))^(7/8) + (a^2*b^2*p^3*x^10 + 3*a^2*b^2*p^2*q*x^7 + 3*a^2*b^2*p*q^2*x^4 + a^2*b^2*q^3*x)*(-1/(a^3*b^5))^(3/8) - (a*b*p^2*x^9 + 2*a*b*p*q*x^6 + a*b*q^2*x^3)*(-1/(a^3*b^5))^(1/8))*sqrt(p*x^3 + q) - 2*(a^2*b^3*p^2*x^10 + 2*a^2*b^3*p*q*x^7 + a^2*b^3*q^2*x^4)*sqrt(-1/(a^3*b^5)) + 2*(a*b^2*p*x^9 + a*b^2*q*x^6)*(-1/(a^3*b^5))^(1/4))/(a*p^4*x^12 + 4*a*p^3*q*x^9 + 6*a*p^2*q^2*x^6 + b*x^8 + 4*a*p*q^3*x^3 + a*q^4))","B",0
2999,1,3329,0,1.798910," ","integrate((x+(x^2+1)^(1/2))^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1)^2,x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(x^{2} + 1\right)} \sqrt{\sqrt{2} \sqrt{-1572864 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 222\right)} + \frac{4329}{2} i \, \sqrt{2} - 37888 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 59480} + 512 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 512 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 37} \log\left(\frac{1}{4} \, {\left(2097152 \, {\left(267626275 \, \sqrt{2} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} - 461246050066 \, \sqrt{2}\right)} {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 967303076388012032 \, \sqrt{2} {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} + 5 \, {\left(112250595573760 \, \sqrt{2} {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} + 1980434435 \, \sqrt{2} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} + 859779825444 \, \sqrt{2}\right)} {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} - \sqrt{-1572864 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 222\right)} + \frac{4329}{2} i \, \sqrt{2} - 37888 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 59480} {\left({\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-31312274175 i \, \sqrt{2} + 548098611200 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 481050394416\right)} + 53965787857722 i \, \sqrt{2} - 944631910535168 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 136787816132412\right)} + 4298899127220 \, \sqrt{2} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} - 23674754806209592 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-1572864 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 222\right)} + \frac{4329}{2} i \, \sqrt{2} - 37888 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 59480} + 512 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 512 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 37} + 100991068027313397 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{\sqrt{2} \sqrt{-1572864 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 222\right)} + \frac{4329}{2} i \, \sqrt{2} - 37888 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 59480} + 512 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 512 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 37} \log\left(-\frac{1}{4} \, {\left(2097152 \, {\left(267626275 \, \sqrt{2} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} - 461246050066 \, \sqrt{2}\right)} {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 967303076388012032 \, \sqrt{2} {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} + 5 \, {\left(112250595573760 \, \sqrt{2} {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} + 1980434435 \, \sqrt{2} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} + 859779825444 \, \sqrt{2}\right)} {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} - \sqrt{-1572864 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 222\right)} + \frac{4329}{2} i \, \sqrt{2} - 37888 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 59480} {\left({\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-31312274175 i \, \sqrt{2} + 548098611200 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 481050394416\right)} + 53965787857722 i \, \sqrt{2} - 944631910535168 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 136787816132412\right)} + 4298899127220 \, \sqrt{2} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} - 23674754806209592 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-1572864 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 222\right)} + \frac{4329}{2} i \, \sqrt{2} - 37888 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 59480} + 512 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 512 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 37} + 100991068027313397 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{-\sqrt{2} \sqrt{-1572864 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 222\right)} + \frac{4329}{2} i \, \sqrt{2} - 37888 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 59480} + 512 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 512 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 37} \log\left(\frac{1}{4} \, {\left(2097152 \, {\left(267626275 \, \sqrt{2} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} - 461246050066 \, \sqrt{2}\right)} {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 967303076388012032 \, \sqrt{2} {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} + 5 \, {\left(112250595573760 \, \sqrt{2} {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} + 1980434435 \, \sqrt{2} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} + 859779825444 \, \sqrt{2}\right)} {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} + \sqrt{-1572864 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 222\right)} + \frac{4329}{2} i \, \sqrt{2} - 37888 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 59480} {\left({\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-31312274175 i \, \sqrt{2} + 548098611200 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 481050394416\right)} + 53965787857722 i \, \sqrt{2} - 944631910535168 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 136787816132412\right)} + 4298899127220 \, \sqrt{2} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} - 23674754806209592 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-1572864 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 222\right)} + \frac{4329}{2} i \, \sqrt{2} - 37888 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 59480} + 512 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 512 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 37} + 100991068027313397 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{-\sqrt{2} \sqrt{-1572864 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 222\right)} + \frac{4329}{2} i \, \sqrt{2} - 37888 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 59480} + 512 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 512 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 37} \log\left(-\frac{1}{4} \, {\left(2097152 \, {\left(267626275 \, \sqrt{2} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} - 461246050066 \, \sqrt{2}\right)} {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 967303076388012032 \, \sqrt{2} {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} + 5 \, {\left(112250595573760 \, \sqrt{2} {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} + 1980434435 \, \sqrt{2} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} + 859779825444 \, \sqrt{2}\right)} {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} + \sqrt{-1572864 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 222\right)} + \frac{4329}{2} i \, \sqrt{2} - 37888 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 59480} {\left({\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-31312274175 i \, \sqrt{2} + 548098611200 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 481050394416\right)} + 53965787857722 i \, \sqrt{2} - 944631910535168 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 136787816132412\right)} + 4298899127220 \, \sqrt{2} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} - 23674754806209592 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-1572864 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 222\right)} + \frac{4329}{2} i \, \sqrt{2} - 37888 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 59480} + 512 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 512 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 37} + 100991068027313397 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 64 \, {\left(x^{2} + 1\right)} \sqrt{\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}} \log\left(32 \, {\left(2298892197350604800 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{3} - 1133433957837176832 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} + 1488082380080985 i \, \sqrt{2} - 26047800977827840 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 15136255809846100\right)} \sqrt{\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}} + 100991068027313397 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 64 \, {\left(x^{2} + 1\right)} \sqrt{\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}} \log\left(-32 \, {\left(2298892197350604800 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{3} - 1133433957837176832 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} + 1488082380080985 i \, \sqrt{2} - 26047800977827840 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 15136255809846100\right)} \sqrt{\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}} + 100991068027313397 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 64 \, {\left(x^{2} + 1\right)} \sqrt{-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}} \log\left(32 \, {\left(2298892197350604800 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{3} - 2097152 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} {\left(-31312274175 i \, \sqrt{2} + 548098611200 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 481050394416\right)} - 5 \, {\left(112250595573760 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 231710828895 i \, \sqrt{2} + 4055929722880 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 713227677254\right)} {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} - 166130881449164800 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} + 1991053577965725 i \, \sqrt{2} - 34851946390374400 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 15589153585635420\right)} \sqrt{-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}} + 100991068027313397 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 64 \, {\left(x^{2} + 1\right)} \sqrt{-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}} \log\left(-32 \, {\left(2298892197350604800 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{3} - 2097152 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} {\left(-31312274175 i \, \sqrt{2} + 548098611200 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 481050394416\right)} - 5 \, {\left(112250595573760 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 231710828895 i \, \sqrt{2} + 4055929722880 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 713227677254\right)} {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} - 166130881449164800 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} + 1991053577965725 i \, \sqrt{2} - 34851946390374400 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 15589153585635420\right)} \sqrt{-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}} + 100991068027313397 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 4 \, {\left(x^{2} - {\left(x^{2} - \sqrt{x^{2} + 1} {\left(x - 5\right)} + 8 \, x + 1\right)} \sqrt{x + \sqrt{x^{2} + 1}} - \sqrt{x^{2} + 1} {\left(x - 1\right)} + 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{64 \, {\left(x^{2} + 1\right)}}"," ",0,"1/64*(sqrt(2)*(x^2 + 1)*sqrt(sqrt(2)*sqrt(-1572864*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1572864*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1/16*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 222) + 4329/2*I*sqrt(2) - 37888*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 59480) + 512*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 512*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37)*log(1/4*(2097152*(267626275*sqrt(2)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 74) - 461246050066*sqrt(2))*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 967303076388012032*sqrt(2)*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 + 5*(112250595573760*sqrt(2)*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 + 1980434435*sqrt(2)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 74) + 859779825444*sqrt(2))*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74) - sqrt(-1572864*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1572864*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1/16*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 222) + 4329/2*I*sqrt(2) - 37888*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 59480)*((117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-31312274175*I*sqrt(2) + 548098611200*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 481050394416) + 53965787857722*I*sqrt(2) - 944631910535168*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 136787816132412) + 4298899127220*sqrt(2)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 74) - 23674754806209592*sqrt(2))*sqrt(sqrt(2)*sqrt(-1572864*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1572864*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1/16*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 222) + 4329/2*I*sqrt(2) - 37888*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 59480) + 512*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 512*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37) + 100991068027313397*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(2)*(x^2 + 1)*sqrt(sqrt(2)*sqrt(-1572864*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1572864*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1/16*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 222) + 4329/2*I*sqrt(2) - 37888*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 59480) + 512*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 512*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37)*log(-1/4*(2097152*(267626275*sqrt(2)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 74) - 461246050066*sqrt(2))*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 967303076388012032*sqrt(2)*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 + 5*(112250595573760*sqrt(2)*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 + 1980434435*sqrt(2)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 74) + 859779825444*sqrt(2))*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74) - sqrt(-1572864*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1572864*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1/16*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 222) + 4329/2*I*sqrt(2) - 37888*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 59480)*((117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-31312274175*I*sqrt(2) + 548098611200*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 481050394416) + 53965787857722*I*sqrt(2) - 944631910535168*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 136787816132412) + 4298899127220*sqrt(2)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 74) - 23674754806209592*sqrt(2))*sqrt(sqrt(2)*sqrt(-1572864*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1572864*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1/16*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 222) + 4329/2*I*sqrt(2) - 37888*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 59480) + 512*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 512*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37) + 100991068027313397*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(2)*(x^2 + 1)*sqrt(-sqrt(2)*sqrt(-1572864*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1572864*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1/16*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 222) + 4329/2*I*sqrt(2) - 37888*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 59480) + 512*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 512*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37)*log(1/4*(2097152*(267626275*sqrt(2)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 74) - 461246050066*sqrt(2))*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 967303076388012032*sqrt(2)*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 + 5*(112250595573760*sqrt(2)*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 + 1980434435*sqrt(2)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 74) + 859779825444*sqrt(2))*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74) + sqrt(-1572864*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1572864*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1/16*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 222) + 4329/2*I*sqrt(2) - 37888*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 59480)*((117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-31312274175*I*sqrt(2) + 548098611200*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 481050394416) + 53965787857722*I*sqrt(2) - 944631910535168*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 136787816132412) + 4298899127220*sqrt(2)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 74) - 23674754806209592*sqrt(2))*sqrt(-sqrt(2)*sqrt(-1572864*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1572864*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1/16*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 222) + 4329/2*I*sqrt(2) - 37888*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 59480) + 512*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 512*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37) + 100991068027313397*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(2)*(x^2 + 1)*sqrt(-sqrt(2)*sqrt(-1572864*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1572864*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1/16*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 222) + 4329/2*I*sqrt(2) - 37888*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 59480) + 512*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 512*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37)*log(-1/4*(2097152*(267626275*sqrt(2)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 74) - 461246050066*sqrt(2))*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 967303076388012032*sqrt(2)*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 + 5*(112250595573760*sqrt(2)*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 + 1980434435*sqrt(2)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 74) + 859779825444*sqrt(2))*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74) + sqrt(-1572864*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1572864*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1/16*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 222) + 4329/2*I*sqrt(2) - 37888*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 59480)*((117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-31312274175*I*sqrt(2) + 548098611200*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 481050394416) + 53965787857722*I*sqrt(2) - 944631910535168*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 136787816132412) + 4298899127220*sqrt(2)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 74) - 23674754806209592*sqrt(2))*sqrt(-sqrt(2)*sqrt(-1572864*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1572864*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1/16*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 222) + 4329/2*I*sqrt(2) - 37888*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 59480) + 512*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 512*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37) + 100991068027313397*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 64*(x^2 + 1)*sqrt(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)*log(32*(2298892197350604800*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^3 - 1133433957837176832*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 + 1488082380080985*I*sqrt(2) - 26047800977827840*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 15136255809846100)*sqrt(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048) + 100991068027313397*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 64*(x^2 + 1)*sqrt(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)*log(-32*(2298892197350604800*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^3 - 1133433957837176832*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 + 1488082380080985*I*sqrt(2) - 26047800977827840*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 15136255809846100)*sqrt(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048) + 100991068027313397*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 64*(x^2 + 1)*sqrt(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)*log(32*(2298892197350604800*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^3 - 2097152*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2*(-31312274175*I*sqrt(2) + 548098611200*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 481050394416) - 5*(112250595573760*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 231710828895*I*sqrt(2) + 4055929722880*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 713227677254)*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74) - 166130881449164800*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 + 1991053577965725*I*sqrt(2) - 34851946390374400*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 15589153585635420)*sqrt(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048) + 100991068027313397*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 64*(x^2 + 1)*sqrt(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)*log(-32*(2298892197350604800*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^3 - 2097152*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2*(-31312274175*I*sqrt(2) + 548098611200*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 481050394416) - 5*(112250595573760*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 231710828895*I*sqrt(2) + 4055929722880*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 713227677254)*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74) - 166130881449164800*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 + 1991053577965725*I*sqrt(2) - 34851946390374400*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 15589153585635420)*sqrt(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048) + 100991068027313397*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 4*(x^2 - (x^2 - sqrt(x^2 + 1)*(x - 5) + 8*x + 1)*sqrt(x + sqrt(x^2 + 1)) - sqrt(x^2 + 1)*(x - 1) + 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 + 1)","B",0
3000,1,3329,0,1.980298," ","integrate((x+(x^2+1)^(1/2))^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1)^2,x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(x^{2} + 1\right)} \sqrt{\sqrt{2} \sqrt{-1572864 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 222\right)} + \frac{4329}{2} i \, \sqrt{2} - 37888 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 59480} + 512 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 512 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 37} \log\left(\frac{1}{4} \, {\left(2097152 \, {\left(267626275 \, \sqrt{2} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} - 461246050066 \, \sqrt{2}\right)} {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 967303076388012032 \, \sqrt{2} {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} + 5 \, {\left(112250595573760 \, \sqrt{2} {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} + 1980434435 \, \sqrt{2} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} + 859779825444 \, \sqrt{2}\right)} {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} - \sqrt{-1572864 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 222\right)} + \frac{4329}{2} i \, \sqrt{2} - 37888 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 59480} {\left({\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-31312274175 i \, \sqrt{2} + 548098611200 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 481050394416\right)} + 53965787857722 i \, \sqrt{2} - 944631910535168 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 136787816132412\right)} + 4298899127220 \, \sqrt{2} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} - 23674754806209592 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-1572864 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 222\right)} + \frac{4329}{2} i \, \sqrt{2} - 37888 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 59480} + 512 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 512 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 37} + 100991068027313397 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{\sqrt{2} \sqrt{-1572864 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 222\right)} + \frac{4329}{2} i \, \sqrt{2} - 37888 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 59480} + 512 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 512 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 37} \log\left(-\frac{1}{4} \, {\left(2097152 \, {\left(267626275 \, \sqrt{2} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} - 461246050066 \, \sqrt{2}\right)} {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 967303076388012032 \, \sqrt{2} {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} + 5 \, {\left(112250595573760 \, \sqrt{2} {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} + 1980434435 \, \sqrt{2} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} + 859779825444 \, \sqrt{2}\right)} {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} - \sqrt{-1572864 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 222\right)} + \frac{4329}{2} i \, \sqrt{2} - 37888 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 59480} {\left({\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-31312274175 i \, \sqrt{2} + 548098611200 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 481050394416\right)} + 53965787857722 i \, \sqrt{2} - 944631910535168 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 136787816132412\right)} + 4298899127220 \, \sqrt{2} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} - 23674754806209592 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-1572864 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 222\right)} + \frac{4329}{2} i \, \sqrt{2} - 37888 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 59480} + 512 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 512 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 37} + 100991068027313397 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{-\sqrt{2} \sqrt{-1572864 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 222\right)} + \frac{4329}{2} i \, \sqrt{2} - 37888 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 59480} + 512 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 512 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 37} \log\left(\frac{1}{4} \, {\left(2097152 \, {\left(267626275 \, \sqrt{2} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} - 461246050066 \, \sqrt{2}\right)} {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 967303076388012032 \, \sqrt{2} {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} + 5 \, {\left(112250595573760 \, \sqrt{2} {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} + 1980434435 \, \sqrt{2} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} + 859779825444 \, \sqrt{2}\right)} {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} + \sqrt{-1572864 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 222\right)} + \frac{4329}{2} i \, \sqrt{2} - 37888 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 59480} {\left({\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-31312274175 i \, \sqrt{2} + 548098611200 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 481050394416\right)} + 53965787857722 i \, \sqrt{2} - 944631910535168 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 136787816132412\right)} + 4298899127220 \, \sqrt{2} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} - 23674754806209592 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-1572864 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 222\right)} + \frac{4329}{2} i \, \sqrt{2} - 37888 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 59480} + 512 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 512 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 37} + 100991068027313397 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{-\sqrt{2} \sqrt{-1572864 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 222\right)} + \frac{4329}{2} i \, \sqrt{2} - 37888 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 59480} + 512 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 512 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 37} \log\left(-\frac{1}{4} \, {\left(2097152 \, {\left(267626275 \, \sqrt{2} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} - 461246050066 \, \sqrt{2}\right)} {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 967303076388012032 \, \sqrt{2} {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} + 5 \, {\left(112250595573760 \, \sqrt{2} {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} + 1980434435 \, \sqrt{2} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} + 859779825444 \, \sqrt{2}\right)} {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} + \sqrt{-1572864 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 222\right)} + \frac{4329}{2} i \, \sqrt{2} - 37888 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 59480} {\left({\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-31312274175 i \, \sqrt{2} + 548098611200 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 481050394416\right)} + 53965787857722 i \, \sqrt{2} - 944631910535168 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 136787816132412\right)} + 4298899127220 \, \sqrt{2} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} - 23674754806209592 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-1572864 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} {\left(-117 i \, \sqrt{2} + 2048 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 222\right)} + \frac{4329}{2} i \, \sqrt{2} - 37888 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 59480} + 512 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 512 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 37} + 100991068027313397 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 64 \, {\left(x^{2} + 1\right)} \sqrt{\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}} \log\left(32 \, {\left(2298892197350604800 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{3} - 1133433957837176832 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} + 1488082380080985 i \, \sqrt{2} - 26047800977827840 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 15136255809846100\right)} \sqrt{\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}} + 100991068027313397 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 64 \, {\left(x^{2} + 1\right)} \sqrt{\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}} \log\left(-32 \, {\left(2298892197350604800 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{3} - 1133433957837176832 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} + 1488082380080985 i \, \sqrt{2} - 26047800977827840 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 15136255809846100\right)} \sqrt{\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}} + 100991068027313397 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 64 \, {\left(x^{2} + 1\right)} \sqrt{-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}} \log\left(32 \, {\left(2298892197350604800 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{3} - 2097152 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} {\left(-31312274175 i \, \sqrt{2} + 548098611200 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 481050394416\right)} - 5 \, {\left(112250595573760 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 231710828895 i \, \sqrt{2} + 4055929722880 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 713227677254\right)} {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} - 166130881449164800 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} + 1991053577965725 i \, \sqrt{2} - 34851946390374400 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 15589153585635420\right)} \sqrt{-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}} + 100991068027313397 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 64 \, {\left(x^{2} + 1\right)} \sqrt{-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}} \log\left(-32 \, {\left(2298892197350604800 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{3} - 2097152 \, {\left(-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} {\left(-31312274175 i \, \sqrt{2} + 548098611200 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 481050394416\right)} - 5 \, {\left(112250595573760 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} - 231710828895 i \, \sqrt{2} + 4055929722880 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 713227677254\right)} {\left(117 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} - 74\right)} - 166130881449164800 \, {\left(\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}\right)}^{2} + 1991053577965725 i \, \sqrt{2} - 34851946390374400 \, \sqrt{\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + 15589153585635420\right)} \sqrt{-\frac{117}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{2645}{524288} i \, \sqrt{2} - \frac{105271}{2097152}} + \frac{37}{2048}} + 100991068027313397 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 4 \, {\left(x^{2} - {\left(x^{2} - \sqrt{x^{2} + 1} {\left(x - 5\right)} + 8 \, x + 1\right)} \sqrt{x + \sqrt{x^{2} + 1}} - \sqrt{x^{2} + 1} {\left(x - 1\right)} + 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{64 \, {\left(x^{2} + 1\right)}}"," ",0,"1/64*(sqrt(2)*(x^2 + 1)*sqrt(sqrt(2)*sqrt(-1572864*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1572864*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1/16*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 222) + 4329/2*I*sqrt(2) - 37888*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 59480) + 512*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 512*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37)*log(1/4*(2097152*(267626275*sqrt(2)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 74) - 461246050066*sqrt(2))*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 967303076388012032*sqrt(2)*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 + 5*(112250595573760*sqrt(2)*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 + 1980434435*sqrt(2)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 74) + 859779825444*sqrt(2))*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74) - sqrt(-1572864*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1572864*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1/16*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 222) + 4329/2*I*sqrt(2) - 37888*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 59480)*((117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-31312274175*I*sqrt(2) + 548098611200*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 481050394416) + 53965787857722*I*sqrt(2) - 944631910535168*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 136787816132412) + 4298899127220*sqrt(2)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 74) - 23674754806209592*sqrt(2))*sqrt(sqrt(2)*sqrt(-1572864*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1572864*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1/16*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 222) + 4329/2*I*sqrt(2) - 37888*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 59480) + 512*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 512*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37) + 100991068027313397*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(2)*(x^2 + 1)*sqrt(sqrt(2)*sqrt(-1572864*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1572864*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1/16*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 222) + 4329/2*I*sqrt(2) - 37888*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 59480) + 512*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 512*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37)*log(-1/4*(2097152*(267626275*sqrt(2)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 74) - 461246050066*sqrt(2))*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 967303076388012032*sqrt(2)*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 + 5*(112250595573760*sqrt(2)*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 + 1980434435*sqrt(2)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 74) + 859779825444*sqrt(2))*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74) - sqrt(-1572864*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1572864*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1/16*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 222) + 4329/2*I*sqrt(2) - 37888*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 59480)*((117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-31312274175*I*sqrt(2) + 548098611200*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 481050394416) + 53965787857722*I*sqrt(2) - 944631910535168*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 136787816132412) + 4298899127220*sqrt(2)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 74) - 23674754806209592*sqrt(2))*sqrt(sqrt(2)*sqrt(-1572864*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1572864*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1/16*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 222) + 4329/2*I*sqrt(2) - 37888*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 59480) + 512*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 512*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37) + 100991068027313397*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(2)*(x^2 + 1)*sqrt(-sqrt(2)*sqrt(-1572864*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1572864*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1/16*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 222) + 4329/2*I*sqrt(2) - 37888*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 59480) + 512*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 512*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37)*log(1/4*(2097152*(267626275*sqrt(2)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 74) - 461246050066*sqrt(2))*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 967303076388012032*sqrt(2)*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 + 5*(112250595573760*sqrt(2)*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 + 1980434435*sqrt(2)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 74) + 859779825444*sqrt(2))*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74) + sqrt(-1572864*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1572864*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1/16*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 222) + 4329/2*I*sqrt(2) - 37888*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 59480)*((117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-31312274175*I*sqrt(2) + 548098611200*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 481050394416) + 53965787857722*I*sqrt(2) - 944631910535168*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 136787816132412) + 4298899127220*sqrt(2)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 74) - 23674754806209592*sqrt(2))*sqrt(-sqrt(2)*sqrt(-1572864*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1572864*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1/16*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 222) + 4329/2*I*sqrt(2) - 37888*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 59480) + 512*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 512*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37) + 100991068027313397*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(2)*(x^2 + 1)*sqrt(-sqrt(2)*sqrt(-1572864*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1572864*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1/16*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 222) + 4329/2*I*sqrt(2) - 37888*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 59480) + 512*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 512*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37)*log(-1/4*(2097152*(267626275*sqrt(2)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 74) - 461246050066*sqrt(2))*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 967303076388012032*sqrt(2)*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 + 5*(112250595573760*sqrt(2)*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 + 1980434435*sqrt(2)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 74) + 859779825444*sqrt(2))*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74) + sqrt(-1572864*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1572864*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1/16*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 222) + 4329/2*I*sqrt(2) - 37888*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 59480)*((117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-31312274175*I*sqrt(2) + 548098611200*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 481050394416) + 53965787857722*I*sqrt(2) - 944631910535168*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 136787816132412) + 4298899127220*sqrt(2)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 74) - 23674754806209592*sqrt(2))*sqrt(-sqrt(2)*sqrt(-1572864*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1572864*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 1/16*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74)*(-117*I*sqrt(2) + 2048*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 222) + 4329/2*I*sqrt(2) - 37888*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 59480) + 512*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 512*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37) + 100991068027313397*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 64*(x^2 + 1)*sqrt(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)*log(32*(2298892197350604800*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^3 - 1133433957837176832*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 + 1488082380080985*I*sqrt(2) - 26047800977827840*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 15136255809846100)*sqrt(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048) + 100991068027313397*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 64*(x^2 + 1)*sqrt(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)*log(-32*(2298892197350604800*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^3 - 1133433957837176832*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 + 1488082380080985*I*sqrt(2) - 26047800977827840*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 15136255809846100)*sqrt(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048) + 100991068027313397*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 64*(x^2 + 1)*sqrt(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)*log(32*(2298892197350604800*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^3 - 2097152*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2*(-31312274175*I*sqrt(2) + 548098611200*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 481050394416) - 5*(112250595573760*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 231710828895*I*sqrt(2) + 4055929722880*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 713227677254)*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74) - 166130881449164800*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 + 1991053577965725*I*sqrt(2) - 34851946390374400*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 15589153585635420)*sqrt(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048) + 100991068027313397*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 64*(x^2 + 1)*sqrt(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)*log(-32*(2298892197350604800*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^3 - 2097152*(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2*(-31312274175*I*sqrt(2) + 548098611200*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) - 481050394416) - 5*(112250595573760*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 - 231710828895*I*sqrt(2) + 4055929722880*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 713227677254)*(117*I*sqrt(2) + 2048*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) - 74) - 166130881449164800*(117/4096*I*sqrt(2) - 1/2*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048)^2 + 1991053577965725*I*sqrt(2) - 34851946390374400*sqrt(2645/524288*I*sqrt(2) - 105271/2097152) + 15589153585635420)*sqrt(-117/4096*I*sqrt(2) - 1/2*sqrt(-2645/524288*I*sqrt(2) - 105271/2097152) + 37/2048) + 100991068027313397*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 4*(x^2 - (x^2 - sqrt(x^2 + 1)*(x - 5) + 8*x + 1)*sqrt(x + sqrt(x^2 + 1)) - sqrt(x^2 + 1)*(x - 1) + 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 + 1)","B",0
3001,1,6966,0,2.168824," ","integrate((x+(x^2+1)^(1/2))^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2,x, algorithm=""fricas"")","-\frac{\sqrt{2} {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 913} - \frac{37}{2} \, \sqrt{2} + 2} \log\left(\frac{1}{8} \, {\left({\left(7252423 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)} - 86307886 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} - 86307886 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - {\left(7252423 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} + 116038768 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)} - 10516321158 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} + 8 \, {\left({\left(14504846 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 268339651 \, \sqrt{2} - 115317578\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} + 172615772 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 3193391782 \, \sqrt{2} - 9480626526\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 913} - 10516321158 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)} - 128487844240 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 913} - \frac{37}{2} \, \sqrt{2} + 2} + 1238984819345 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 913} - \frac{37}{2} \, \sqrt{2} + 2} \log\left(-\frac{1}{8} \, {\left({\left(7252423 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)} - 86307886 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} - 86307886 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - {\left(7252423 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} + 116038768 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)} - 10516321158 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} + 8 \, {\left({\left(14504846 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 268339651 \, \sqrt{2} - 115317578\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} + 172615772 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 3193391782 \, \sqrt{2} - 9480626526\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 913} - 10516321158 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)} - 128487844240 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 913} - \frac{37}{2} \, \sqrt{2} + 2} + 1238984819345 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 913} - \frac{37}{2} \, \sqrt{2} + 2} \log\left(\frac{1}{8} \, {\left({\left(7252423 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)} - 86307886 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} - 86307886 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - {\left(7252423 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} + 116038768 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)} - 10516321158 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} - 8 \, {\left({\left(14504846 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 268339651 \, \sqrt{2} - 115317578\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} + 172615772 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 3193391782 \, \sqrt{2} - 9480626526\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 913} - 10516321158 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)} - 128487844240 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 913} - \frac{37}{2} \, \sqrt{2} + 2} + 1238984819345 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 913} - \frac{37}{2} \, \sqrt{2} + 2} \log\left(-\frac{1}{8} \, {\left({\left(7252423 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)} - 86307886 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} - 86307886 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - {\left(7252423 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} + 116038768 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)} - 10516321158 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} - 8 \, {\left({\left(14504846 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 268339651 \, \sqrt{2} - 115317578\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} + 172615772 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 3193391782 \, \sqrt{2} - 9480626526\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 913} - 10516321158 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)} - 128487844240 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 913} - \frac{37}{2} \, \sqrt{2} + 2} + 1238984819345 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{4 \, \sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - \frac{117}{8} \, \sqrt{2} + \frac{629}{4}} - 39 \, \sqrt{2} - 6} \log\left(\frac{1}{4} \, {\left({\left(10631262 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 207309609 \, \sqrt{2} - 45701129\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - {\left(5315631 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} - 255150288 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 4975430616 \, \sqrt{2} - 15921844073\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} - 77594915 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + 8 \, {\left({\left(5315631 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)} - 77594915 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} + 77594915 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)} - 17018671169 \, \sqrt{2}\right)} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - \frac{117}{8} \, \sqrt{2} + \frac{629}{4}} - 30312786418 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 591099335151 \, \sqrt{2} - 850010185254\right)} \sqrt{4 \, \sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - \frac{117}{8} \, \sqrt{2} + \frac{629}{4}} - 39 \, \sqrt{2} - 6} + 4949244239297 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{4 \, \sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - \frac{117}{8} \, \sqrt{2} + \frac{629}{4}} - 39 \, \sqrt{2} - 6} \log\left(-\frac{1}{4} \, {\left({\left(10631262 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 207309609 \, \sqrt{2} - 45701129\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - {\left(5315631 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} - 255150288 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 4975430616 \, \sqrt{2} - 15921844073\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} - 77594915 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + 8 \, {\left({\left(5315631 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)} - 77594915 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} + 77594915 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)} - 17018671169 \, \sqrt{2}\right)} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - \frac{117}{8} \, \sqrt{2} + \frac{629}{4}} - 30312786418 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 591099335151 \, \sqrt{2} - 850010185254\right)} \sqrt{4 \, \sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - \frac{117}{8} \, \sqrt{2} + \frac{629}{4}} - 39 \, \sqrt{2} - 6} + 4949244239297 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - \frac{117}{8} \, \sqrt{2} + \frac{629}{4}} - \frac{39}{4} \, \sqrt{2} - \frac{3}{2}} \log\left(\frac{1}{2} \, {\left({\left(10631262 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 207309609 \, \sqrt{2} - 45701129\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - {\left(5315631 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} - 255150288 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 4975430616 \, \sqrt{2} - 15921844073\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} - 77594915 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} - 8 \, {\left({\left(5315631 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)} - 77594915 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} + 77594915 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)} - 17018671169 \, \sqrt{2}\right)} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - \frac{117}{8} \, \sqrt{2} + \frac{629}{4}} - 30312786418 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 591099335151 \, \sqrt{2} - 850010185254\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - \frac{117}{8} \, \sqrt{2} + \frac{629}{4}} - \frac{39}{4} \, \sqrt{2} - \frac{3}{2}} + 4949244239297 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - \frac{117}{8} \, \sqrt{2} + \frac{629}{4}} - \frac{39}{4} \, \sqrt{2} - \frac{3}{2}} \log\left(-\frac{1}{2} \, {\left({\left(10631262 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 207309609 \, \sqrt{2} - 45701129\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - {\left(5315631 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} - 255150288 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 4975430616 \, \sqrt{2} - 15921844073\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} - 77594915 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} - 8 \, {\left({\left(5315631 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)} - 77594915 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} + 77594915 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)} - 17018671169 \, \sqrt{2}\right)} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - \frac{117}{8} \, \sqrt{2} + \frac{629}{4}} - 30312786418 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 591099335151 \, \sqrt{2} - 850010185254\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - \frac{117}{8} \, \sqrt{2} + \frac{629}{4}} - \frac{39}{4} \, \sqrt{2} - \frac{3}{2}} + 4949244239297 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4} \log\left(\frac{1}{4} \, {\left({\left(14504846 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 268339651 \, \sqrt{2} - 115317578\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + 7252423 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{3} - {\left(7252423 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} + 232077536 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 4293434416 \, \sqrt{2} - 10980476230\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} + 116038768 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 104550929968 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 1934192204408 \, \sqrt{2} + 822369864488\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4} + 1238984819345 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4} \log\left(-\frac{1}{4} \, {\left({\left(14504846 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 268339651 \, \sqrt{2} - 115317578\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + 7252423 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{3} - {\left(7252423 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} + 232077536 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 4293434416 \, \sqrt{2} - 10980476230\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} + 116038768 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 104550929968 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 1934192204408 \, \sqrt{2} + 822369864488\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4} + 1238984819345 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 32 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + \frac{37}{1024} \, \sqrt{2} + \frac{1}{256}} \log\left(8 \, {\left(7252423 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{3} + 202346654 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 83518287652 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 1545088321562 \, \sqrt{2} + 2897193593136\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + \frac{37}{1024} \, \sqrt{2} + \frac{1}{256}} + 1238984819345 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 32 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + \frac{37}{1024} \, \sqrt{2} + \frac{1}{256}} \log\left(-8 \, {\left(7252423 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{3} + 202346654 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 83518287652 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 1545088321562 \, \sqrt{2} + 2897193593136\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + \frac{37}{1024} \, \sqrt{2} + \frac{1}{256}} + 1238984819345 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6} \log\left(\frac{1}{2} \, {\left({\left(10631262 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 207309609 \, \sqrt{2} - 45701129\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} + 5315631 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{3} - {\left(5315631 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} - 255150288 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 4975430616 \, \sqrt{2} - 15921844073\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} - 127575144 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} - 51200157792 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 998403076944 \, \sqrt{2} + 803856604292\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6} + 4949244239297 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6} \log\left(-\frac{1}{2} \, {\left({\left(10631262 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 207309609 \, \sqrt{2} - 45701129\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} + 5315631 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{3} - {\left(5315631 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} - 255150288 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 4975430616 \, \sqrt{2} - 15921844073\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} - 127575144 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} - 51200157792 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 998403076944 \, \sqrt{2} + 803856604292\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6} + 4949244239297 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 32 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + \frac{39}{1024} \, \sqrt{2} - \frac{3}{512}} \log\left(16 \, {\left(5315631 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{3} - 49980229 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} - 20887371374 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 407303741793 \, \sqrt{2} + 1701058629730\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + \frac{39}{1024} \, \sqrt{2} - \frac{3}{512}} + 4949244239297 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 32 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + \frac{39}{1024} \, \sqrt{2} - \frac{3}{512}} \log\left(-16 \, {\left(5315631 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{3} - 49980229 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} - 20887371374 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 407303741793 \, \sqrt{2} + 1701058629730\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + \frac{39}{1024} \, \sqrt{2} - \frac{3}{512}} + 4949244239297 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 16 \, \sqrt{x + \sqrt{x^{2} + 1}} x \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{32 \, {\left(x^{2} - 1\right)}}"," ",0,"-1/32*(sqrt(2)*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 913) - 37/2*sqrt(2) + 2)*log(1/8*((7252423*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4) - 86307886*sqrt(2))*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 - 86307886*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - (7252423*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 + 116038768*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4) - 10516321158*sqrt(2))*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4) + 8*((14504846*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 268339651*sqrt(2) - 115317578)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4) + 172615772*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 3193391782*sqrt(2) - 9480626526)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 913) - 10516321158*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4) - 128487844240*sqrt(2))*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 913) - 37/2*sqrt(2) + 2) + 1238984819345*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(2)*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 913) - 37/2*sqrt(2) + 2)*log(-1/8*((7252423*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4) - 86307886*sqrt(2))*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 - 86307886*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - (7252423*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 + 116038768*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4) - 10516321158*sqrt(2))*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4) + 8*((14504846*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 268339651*sqrt(2) - 115317578)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4) + 172615772*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 3193391782*sqrt(2) - 9480626526)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 913) - 10516321158*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4) - 128487844240*sqrt(2))*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 913) - 37/2*sqrt(2) + 2) + 1238984819345*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(2)*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 913) - 37/2*sqrt(2) + 2)*log(1/8*((7252423*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4) - 86307886*sqrt(2))*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 - 86307886*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - (7252423*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 + 116038768*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4) - 10516321158*sqrt(2))*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4) - 8*((14504846*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 268339651*sqrt(2) - 115317578)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4) + 172615772*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 3193391782*sqrt(2) - 9480626526)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 913) - 10516321158*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4) - 128487844240*sqrt(2))*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 913) - 37/2*sqrt(2) + 2) + 1238984819345*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(2)*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 913) - 37/2*sqrt(2) + 2)*log(-1/8*((7252423*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4) - 86307886*sqrt(2))*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 - 86307886*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - (7252423*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 + 116038768*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4) - 10516321158*sqrt(2))*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4) - 8*((14504846*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 268339651*sqrt(2) - 115317578)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4) + 172615772*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 3193391782*sqrt(2) - 9480626526)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 913) - 10516321158*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4) - 128487844240*sqrt(2))*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 913) - 37/2*sqrt(2) + 2) + 1238984819345*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(4*sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 117/8*sqrt(2) + 629/4) - 39*sqrt(2) - 6)*log(1/4*((10631262*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 207309609*sqrt(2) - 45701129)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - (5315631*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 - 255150288*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 4975430616*sqrt(2) - 15921844073)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6) - 77594915*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 8*((5315631*sqrt(2)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6) - 77594915*sqrt(2))*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6) + 77594915*sqrt(2)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6) - 17018671169*sqrt(2))*sqrt(-3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 117/8*sqrt(2) + 629/4) - 30312786418*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 591099335151*sqrt(2) - 850010185254)*sqrt(4*sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 117/8*sqrt(2) + 629/4) - 39*sqrt(2) - 6) + 4949244239297*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(4*sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 117/8*sqrt(2) + 629/4) - 39*sqrt(2) - 6)*log(-1/4*((10631262*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 207309609*sqrt(2) - 45701129)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - (5315631*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 - 255150288*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 4975430616*sqrt(2) - 15921844073)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6) - 77594915*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 8*((5315631*sqrt(2)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6) - 77594915*sqrt(2))*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6) + 77594915*sqrt(2)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6) - 17018671169*sqrt(2))*sqrt(-3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 117/8*sqrt(2) + 629/4) - 30312786418*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 591099335151*sqrt(2) - 850010185254)*sqrt(4*sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 117/8*sqrt(2) + 629/4) - 39*sqrt(2) - 6) + 4949244239297*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 117/8*sqrt(2) + 629/4) - 39/4*sqrt(2) - 3/2)*log(1/2*((10631262*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 207309609*sqrt(2) - 45701129)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - (5315631*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 - 255150288*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 4975430616*sqrt(2) - 15921844073)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6) - 77594915*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 - 8*((5315631*sqrt(2)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6) - 77594915*sqrt(2))*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6) + 77594915*sqrt(2)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6) - 17018671169*sqrt(2))*sqrt(-3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 117/8*sqrt(2) + 629/4) - 30312786418*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 591099335151*sqrt(2) - 850010185254)*sqrt(-sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 117/8*sqrt(2) + 629/4) - 39/4*sqrt(2) - 3/2) + 4949244239297*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 117/8*sqrt(2) + 629/4) - 39/4*sqrt(2) - 3/2)*log(-1/2*((10631262*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 207309609*sqrt(2) - 45701129)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - (5315631*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 - 255150288*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 4975430616*sqrt(2) - 15921844073)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6) - 77594915*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 - 8*((5315631*sqrt(2)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6) - 77594915*sqrt(2))*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6) + 77594915*sqrt(2)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6) - 17018671169*sqrt(2))*sqrt(-3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 117/8*sqrt(2) + 629/4) - 30312786418*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 591099335151*sqrt(2) - 850010185254)*sqrt(-sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 117/8*sqrt(2) + 629/4) - 39/4*sqrt(2) - 3/2) + 4949244239297*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*log(1/4*((14504846*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 268339651*sqrt(2) - 115317578)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 7252423*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^3 - (7252423*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 + 232077536*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 4293434416*sqrt(2) - 10980476230)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4) + 116038768*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 104550929968*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 1934192204408*sqrt(2) + 822369864488)*sqrt(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4) + 1238984819345*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*log(-1/4*((14504846*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 268339651*sqrt(2) - 115317578)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 7252423*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^3 - (7252423*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 + 232077536*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 4293434416*sqrt(2) - 10980476230)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4) + 116038768*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 104550929968*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 1934192204408*sqrt(2) + 822369864488)*sqrt(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4) + 1238984819345*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 32*(x^2 - 1)*sqrt(-1/512*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37/1024*sqrt(2) + 1/256)*log(8*(7252423*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^3 + 202346654*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 83518287652*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 1545088321562*sqrt(2) + 2897193593136)*sqrt(-1/512*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37/1024*sqrt(2) + 1/256) + 1238984819345*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 32*(x^2 - 1)*sqrt(-1/512*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37/1024*sqrt(2) + 1/256)*log(-8*(7252423*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^3 + 202346654*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 83518287652*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 1545088321562*sqrt(2) + 2897193593136)*sqrt(-1/512*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37/1024*sqrt(2) + 1/256) + 1238984819345*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*log(1/2*((10631262*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 207309609*sqrt(2) - 45701129)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 + 5315631*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^3 - (5315631*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 - 255150288*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 4975430616*sqrt(2) - 15921844073)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6) - 127575144*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 - 51200157792*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 998403076944*sqrt(2) + 803856604292)*sqrt(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6) + 4949244239297*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*log(-1/2*((10631262*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 207309609*sqrt(2) - 45701129)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 + 5315631*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^3 - (5315631*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 - 255150288*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 4975430616*sqrt(2) - 15921844073)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6) - 127575144*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 - 51200157792*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 998403076944*sqrt(2) + 803856604292)*sqrt(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6) + 4949244239297*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 32*(x^2 - 1)*sqrt(-1/512*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39/1024*sqrt(2) - 3/512)*log(16*(5315631*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^3 - 49980229*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 - 20887371374*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 407303741793*sqrt(2) + 1701058629730)*sqrt(-1/512*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39/1024*sqrt(2) - 3/512) + 4949244239297*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 32*(x^2 - 1)*sqrt(-1/512*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39/1024*sqrt(2) - 3/512)*log(-16*(5315631*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^3 - 49980229*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 - 20887371374*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 407303741793*sqrt(2) + 1701058629730)*sqrt(-1/512*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39/1024*sqrt(2) - 3/512) + 4949244239297*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 16*sqrt(x + sqrt(x^2 + 1))*x*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 - 1)","B",0
3002,1,6966,0,2.052942," ","integrate((x+(x^2+1)^(1/2))^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2,x, algorithm=""fricas"")","-\frac{\sqrt{2} {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 913} - \frac{37}{2} \, \sqrt{2} + 2} \log\left(\frac{1}{8} \, {\left({\left(7252423 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)} - 86307886 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} - 86307886 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - {\left(7252423 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} + 116038768 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)} - 10516321158 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} + 8 \, {\left({\left(14504846 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 268339651 \, \sqrt{2} - 115317578\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} + 172615772 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 3193391782 \, \sqrt{2} - 9480626526\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 913} - 10516321158 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)} - 128487844240 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 913} - \frac{37}{2} \, \sqrt{2} + 2} + 1238984819345 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 913} - \frac{37}{2} \, \sqrt{2} + 2} \log\left(-\frac{1}{8} \, {\left({\left(7252423 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)} - 86307886 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} - 86307886 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - {\left(7252423 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} + 116038768 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)} - 10516321158 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} + 8 \, {\left({\left(14504846 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 268339651 \, \sqrt{2} - 115317578\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} + 172615772 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 3193391782 \, \sqrt{2} - 9480626526\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 913} - 10516321158 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)} - 128487844240 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 913} - \frac{37}{2} \, \sqrt{2} + 2} + 1238984819345 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 913} - \frac{37}{2} \, \sqrt{2} + 2} \log\left(\frac{1}{8} \, {\left({\left(7252423 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)} - 86307886 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} - 86307886 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - {\left(7252423 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} + 116038768 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)} - 10516321158 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} - 8 \, {\left({\left(14504846 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 268339651 \, \sqrt{2} - 115317578\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} + 172615772 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 3193391782 \, \sqrt{2} - 9480626526\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 913} - 10516321158 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)} - 128487844240 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 913} - \frac{37}{2} \, \sqrt{2} + 2} + 1238984819345 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 913} - \frac{37}{2} \, \sqrt{2} + 2} \log\left(-\frac{1}{8} \, {\left({\left(7252423 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)} - 86307886 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} - 86307886 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - {\left(7252423 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} + 116038768 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)} - 10516321158 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} - 8 \, {\left({\left(14504846 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 268339651 \, \sqrt{2} - 115317578\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} + 172615772 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 3193391782 \, \sqrt{2} - 9480626526\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 913} - 10516321158 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)} - 128487844240 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} + 12\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 913} - \frac{37}{2} \, \sqrt{2} + 2} + 1238984819345 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{4 \, \sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - \frac{117}{8} \, \sqrt{2} + \frac{629}{4}} - 39 \, \sqrt{2} - 6} \log\left(\frac{1}{4} \, {\left({\left(10631262 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 207309609 \, \sqrt{2} - 45701129\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - {\left(5315631 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} - 255150288 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 4975430616 \, \sqrt{2} - 15921844073\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} - 77594915 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + 8 \, {\left({\left(5315631 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)} - 77594915 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} + 77594915 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)} - 17018671169 \, \sqrt{2}\right)} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - \frac{117}{8} \, \sqrt{2} + \frac{629}{4}} - 30312786418 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 591099335151 \, \sqrt{2} - 850010185254\right)} \sqrt{4 \, \sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - \frac{117}{8} \, \sqrt{2} + \frac{629}{4}} - 39 \, \sqrt{2} - 6} + 4949244239297 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{4 \, \sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - \frac{117}{8} \, \sqrt{2} + \frac{629}{4}} - 39 \, \sqrt{2} - 6} \log\left(-\frac{1}{4} \, {\left({\left(10631262 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 207309609 \, \sqrt{2} - 45701129\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - {\left(5315631 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} - 255150288 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 4975430616 \, \sqrt{2} - 15921844073\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} - 77594915 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + 8 \, {\left({\left(5315631 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)} - 77594915 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} + 77594915 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)} - 17018671169 \, \sqrt{2}\right)} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - \frac{117}{8} \, \sqrt{2} + \frac{629}{4}} - 30312786418 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 591099335151 \, \sqrt{2} - 850010185254\right)} \sqrt{4 \, \sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - \frac{117}{8} \, \sqrt{2} + \frac{629}{4}} - 39 \, \sqrt{2} - 6} + 4949244239297 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - \frac{117}{8} \, \sqrt{2} + \frac{629}{4}} - \frac{39}{4} \, \sqrt{2} - \frac{3}{2}} \log\left(\frac{1}{2} \, {\left({\left(10631262 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 207309609 \, \sqrt{2} - 45701129\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - {\left(5315631 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} - 255150288 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 4975430616 \, \sqrt{2} - 15921844073\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} - 77594915 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} - 8 \, {\left({\left(5315631 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)} - 77594915 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} + 77594915 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)} - 17018671169 \, \sqrt{2}\right)} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - \frac{117}{8} \, \sqrt{2} + \frac{629}{4}} - 30312786418 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 591099335151 \, \sqrt{2} - 850010185254\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - \frac{117}{8} \, \sqrt{2} + \frac{629}{4}} - \frac{39}{4} \, \sqrt{2} - \frac{3}{2}} + 4949244239297 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - \frac{117}{8} \, \sqrt{2} + \frac{629}{4}} - \frac{39}{4} \, \sqrt{2} - \frac{3}{2}} \log\left(-\frac{1}{2} \, {\left({\left(10631262 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 207309609 \, \sqrt{2} - 45701129\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - {\left(5315631 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} - 255150288 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 4975430616 \, \sqrt{2} - 15921844073\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} - 77594915 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} - 8 \, {\left({\left(5315631 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)} - 77594915 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} + 77594915 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)} - 17018671169 \, \sqrt{2}\right)} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - \frac{117}{8} \, \sqrt{2} + \frac{629}{4}} - 30312786418 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 591099335151 \, \sqrt{2} - 850010185254\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} - 18\right)} + \frac{3}{4} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - \frac{117}{8} \, \sqrt{2} + \frac{629}{4}} - \frac{39}{4} \, \sqrt{2} - \frac{3}{2}} + 4949244239297 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4} \log\left(\frac{1}{4} \, {\left({\left(14504846 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 268339651 \, \sqrt{2} - 115317578\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + 7252423 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{3} - {\left(7252423 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} + 232077536 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 4293434416 \, \sqrt{2} - 10980476230\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} + 116038768 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 104550929968 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 1934192204408 \, \sqrt{2} + 822369864488\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4} + 1238984819345 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4} \log\left(-\frac{1}{4} \, {\left({\left(14504846 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 268339651 \, \sqrt{2} - 115317578\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)}^{2} + 7252423 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{3} - {\left(7252423 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} + 232077536 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 4293434416 \, \sqrt{2} - 10980476230\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4\right)} + 116038768 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 104550929968 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 1934192204408 \, \sqrt{2} + 822369864488\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 37 \, \sqrt{2} + 4} + 1238984819345 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 32 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + \frac{37}{1024} \, \sqrt{2} + \frac{1}{256}} \log\left(8 \, {\left(7252423 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{3} + 202346654 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 83518287652 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 1545088321562 \, \sqrt{2} + 2897193593136\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + \frac{37}{1024} \, \sqrt{2} + \frac{1}{256}} + 1238984819345 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 32 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + \frac{37}{1024} \, \sqrt{2} + \frac{1}{256}} \log\left(-8 \, {\left(7252423 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{3} + 202346654 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} - 37 \, \sqrt{2} - 4\right)}^{2} - 83518287652 \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + 1545088321562 \, \sqrt{2} + 2897193593136\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{877 \, \sqrt{2} + 457} + \frac{37}{1024} \, \sqrt{2} + \frac{1}{256}} + 1238984819345 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6} \log\left(\frac{1}{2} \, {\left({\left(10631262 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 207309609 \, \sqrt{2} - 45701129\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} + 5315631 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{3} - {\left(5315631 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} - 255150288 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 4975430616 \, \sqrt{2} - 15921844073\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} - 127575144 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} - 51200157792 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 998403076944 \, \sqrt{2} + 803856604292\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6} + 4949244239297 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6} \log\left(-\frac{1}{2} \, {\left({\left(10631262 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 207309609 \, \sqrt{2} - 45701129\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)}^{2} + 5315631 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{3} - {\left(5315631 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} - 255150288 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 4975430616 \, \sqrt{2} - 15921844073\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6\right)} - 127575144 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} - 51200157792 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 998403076944 \, \sqrt{2} + 803856604292\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 39 \, \sqrt{2} - 6} + 4949244239297 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 32 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + \frac{39}{1024} \, \sqrt{2} - \frac{3}{512}} \log\left(16 \, {\left(5315631 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{3} - 49980229 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} - 20887371374 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 407303741793 \, \sqrt{2} + 1701058629730\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + \frac{39}{1024} \, \sqrt{2} - \frac{3}{512}} + 4949244239297 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 32 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + \frac{39}{1024} \, \sqrt{2} - \frac{3}{512}} \log\left(-16 \, {\left(5315631 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{3} - 49980229 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} - 39 \, \sqrt{2} + 6\right)}^{2} - 20887371374 \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + 407303741793 \, \sqrt{2} + 1701058629730\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{725 \, \sqrt{2} - 263} + \frac{39}{1024} \, \sqrt{2} - \frac{3}{512}} + 4949244239297 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 16 \, \sqrt{x + \sqrt{x^{2} + 1}} x \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{32 \, {\left(x^{2} - 1\right)}}"," ",0,"-1/32*(sqrt(2)*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 913) - 37/2*sqrt(2) + 2)*log(1/8*((7252423*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4) - 86307886*sqrt(2))*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 - 86307886*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - (7252423*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 + 116038768*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4) - 10516321158*sqrt(2))*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4) + 8*((14504846*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 268339651*sqrt(2) - 115317578)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4) + 172615772*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 3193391782*sqrt(2) - 9480626526)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 913) - 10516321158*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4) - 128487844240*sqrt(2))*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 913) - 37/2*sqrt(2) + 2) + 1238984819345*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(2)*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 913) - 37/2*sqrt(2) + 2)*log(-1/8*((7252423*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4) - 86307886*sqrt(2))*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 - 86307886*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - (7252423*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 + 116038768*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4) - 10516321158*sqrt(2))*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4) + 8*((14504846*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 268339651*sqrt(2) - 115317578)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4) + 172615772*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 3193391782*sqrt(2) - 9480626526)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 913) - 10516321158*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4) - 128487844240*sqrt(2))*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 913) - 37/2*sqrt(2) + 2) + 1238984819345*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(2)*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 913) - 37/2*sqrt(2) + 2)*log(1/8*((7252423*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4) - 86307886*sqrt(2))*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 - 86307886*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - (7252423*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 + 116038768*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4) - 10516321158*sqrt(2))*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4) - 8*((14504846*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 268339651*sqrt(2) - 115317578)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4) + 172615772*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 3193391782*sqrt(2) - 9480626526)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 913) - 10516321158*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4) - 128487844240*sqrt(2))*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 913) - 37/2*sqrt(2) + 2) + 1238984819345*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(2)*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 913) - 37/2*sqrt(2) + 2)*log(-1/8*((7252423*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4) - 86307886*sqrt(2))*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 - 86307886*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - (7252423*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 + 116038768*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4) - 10516321158*sqrt(2))*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4) - 8*((14504846*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 268339651*sqrt(2) - 115317578)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4) + 172615772*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 3193391782*sqrt(2) - 9480626526)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 913) - 10516321158*sqrt(2)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4) - 128487844240*sqrt(2))*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 1/16*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) + 12) - 3/32*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 913) - 37/2*sqrt(2) + 2) + 1238984819345*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(4*sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 117/8*sqrt(2) + 629/4) - 39*sqrt(2) - 6)*log(1/4*((10631262*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 207309609*sqrt(2) - 45701129)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - (5315631*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 - 255150288*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 4975430616*sqrt(2) - 15921844073)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6) - 77594915*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 8*((5315631*sqrt(2)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6) - 77594915*sqrt(2))*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6) + 77594915*sqrt(2)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6) - 17018671169*sqrt(2))*sqrt(-3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 117/8*sqrt(2) + 629/4) - 30312786418*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 591099335151*sqrt(2) - 850010185254)*sqrt(4*sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 117/8*sqrt(2) + 629/4) - 39*sqrt(2) - 6) + 4949244239297*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(4*sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 117/8*sqrt(2) + 629/4) - 39*sqrt(2) - 6)*log(-1/4*((10631262*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 207309609*sqrt(2) - 45701129)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - (5315631*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 - 255150288*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 4975430616*sqrt(2) - 15921844073)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6) - 77594915*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 8*((5315631*sqrt(2)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6) - 77594915*sqrt(2))*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6) + 77594915*sqrt(2)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6) - 17018671169*sqrt(2))*sqrt(-3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 117/8*sqrt(2) + 629/4) - 30312786418*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 591099335151*sqrt(2) - 850010185254)*sqrt(4*sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 117/8*sqrt(2) + 629/4) - 39*sqrt(2) - 6) + 4949244239297*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 117/8*sqrt(2) + 629/4) - 39/4*sqrt(2) - 3/2)*log(1/2*((10631262*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 207309609*sqrt(2) - 45701129)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - (5315631*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 - 255150288*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 4975430616*sqrt(2) - 15921844073)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6) - 77594915*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 - 8*((5315631*sqrt(2)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6) - 77594915*sqrt(2))*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6) + 77594915*sqrt(2)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6) - 17018671169*sqrt(2))*sqrt(-3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 117/8*sqrt(2) + 629/4) - 30312786418*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 591099335151*sqrt(2) - 850010185254)*sqrt(-sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 117/8*sqrt(2) + 629/4) - 39/4*sqrt(2) - 3/2) + 4949244239297*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 117/8*sqrt(2) + 629/4) - 39/4*sqrt(2) - 3/2)*log(-1/2*((10631262*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 207309609*sqrt(2) - 45701129)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - (5315631*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 - 255150288*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 4975430616*sqrt(2) - 15921844073)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6) - 77594915*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 - 8*((5315631*sqrt(2)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6) - 77594915*sqrt(2))*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6) + 77594915*sqrt(2)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6) - 17018671169*sqrt(2))*sqrt(-3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 117/8*sqrt(2) + 629/4) - 30312786418*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 591099335151*sqrt(2) - 850010185254)*sqrt(-sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 - 3/128*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 + 1/64*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) - 18) + 3/4*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 117/8*sqrt(2) + 629/4) - 39/4*sqrt(2) - 3/2) + 4949244239297*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*log(1/4*((14504846*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 268339651*sqrt(2) - 115317578)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 7252423*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^3 - (7252423*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 + 232077536*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 4293434416*sqrt(2) - 10980476230)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4) + 116038768*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 104550929968*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 1934192204408*sqrt(2) + 822369864488)*sqrt(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4) + 1238984819345*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)*log(-1/4*((14504846*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 268339651*sqrt(2) - 115317578)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4)^2 + 7252423*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^3 - (7252423*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 + 232077536*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 4293434416*sqrt(2) - 10980476230)*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4) + 116038768*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 104550929968*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 1934192204408*sqrt(2) + 822369864488)*sqrt(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37*sqrt(2) + 4) + 1238984819345*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 32*(x^2 - 1)*sqrt(-1/512*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37/1024*sqrt(2) + 1/256)*log(8*(7252423*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^3 + 202346654*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 83518287652*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 1545088321562*sqrt(2) + 2897193593136)*sqrt(-1/512*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37/1024*sqrt(2) + 1/256) + 1238984819345*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 32*(x^2 - 1)*sqrt(-1/512*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37/1024*sqrt(2) + 1/256)*log(-8*(7252423*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^3 + 202346654*(2*sqrt(1/2)*sqrt(877*sqrt(2) + 457) - 37*sqrt(2) - 4)^2 - 83518287652*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 1545088321562*sqrt(2) + 2897193593136)*sqrt(-1/512*sqrt(1/2)*sqrt(877*sqrt(2) + 457) + 37/1024*sqrt(2) + 1/256) + 1238984819345*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*log(1/2*((10631262*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 207309609*sqrt(2) - 45701129)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 + 5315631*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^3 - (5315631*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 - 255150288*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 4975430616*sqrt(2) - 15921844073)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6) - 127575144*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 - 51200157792*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 998403076944*sqrt(2) + 803856604292)*sqrt(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6) + 4949244239297*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)*log(-1/2*((10631262*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 207309609*sqrt(2) - 45701129)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6)^2 + 5315631*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^3 - (5315631*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 - 255150288*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 4975430616*sqrt(2) - 15921844073)*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6) - 127575144*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 - 51200157792*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 998403076944*sqrt(2) + 803856604292)*sqrt(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39*sqrt(2) - 6) + 4949244239297*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 32*(x^2 - 1)*sqrt(-1/512*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39/1024*sqrt(2) - 3/512)*log(16*(5315631*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^3 - 49980229*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 - 20887371374*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 407303741793*sqrt(2) + 1701058629730)*sqrt(-1/512*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39/1024*sqrt(2) - 3/512) + 4949244239297*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 32*(x^2 - 1)*sqrt(-1/512*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39/1024*sqrt(2) - 3/512)*log(-16*(5315631*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^3 - 49980229*(2*sqrt(1/2)*sqrt(725*sqrt(2) - 263) - 39*sqrt(2) + 6)^2 - 20887371374*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 407303741793*sqrt(2) + 1701058629730)*sqrt(-1/512*sqrt(1/2)*sqrt(725*sqrt(2) - 263) + 39/1024*sqrt(2) - 3/512) + 4949244239297*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 16*sqrt(x + sqrt(x^2 + 1))*x*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 - 1)","B",0
3003,1,3327,0,1.609832," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1)^2/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(x^{2} + 1\right)} \sqrt{\sqrt{2} \sqrt{-1572864 \, {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 222\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \frac{16169}{2} i \, \sqrt{2} + 37888 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 93816} + 512 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 512 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 37} \log\left(\frac{1}{4} \, {\left(10485760 \, {\left(50643935151 \, \sqrt{2} {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + 35783410727342 \, \sqrt{2}\right)} {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} + 375216256868333649920 \, \sqrt{2} {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} + {\left(531040149448949760 \, \sqrt{2} {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 9369128002935 \, \sqrt{2} {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} - 33052532426664649 \, \sqrt{2}\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} - \sqrt{-1572864 \, {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 222\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \frac{16169}{2} i \, \sqrt{2} + 37888 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 93816} {\left(5 \, {\left(22131399660987 i \, \sqrt{2} + 103718779189248 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 39531061928516\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + 78186752439242270 i \, \sqrt{2} + 366422125847982080 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 224700673505967572\right)} - 33052532426664649 \, \sqrt{2} {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} - 3979900971776820892 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-1572864 \, {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 222\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \frac{16169}{2} i \, \sqrt{2} + 37888 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 93816} + 512 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 512 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 37} + 263218942155746172797 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{\sqrt{2} \sqrt{-1572864 \, {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 222\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \frac{16169}{2} i \, \sqrt{2} + 37888 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 93816} + 512 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 512 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 37} \log\left(-\frac{1}{4} \, {\left(10485760 \, {\left(50643935151 \, \sqrt{2} {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + 35783410727342 \, \sqrt{2}\right)} {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} + 375216256868333649920 \, \sqrt{2} {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} + {\left(531040149448949760 \, \sqrt{2} {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 9369128002935 \, \sqrt{2} {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} - 33052532426664649 \, \sqrt{2}\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} - \sqrt{-1572864 \, {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 222\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \frac{16169}{2} i \, \sqrt{2} + 37888 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 93816} {\left(5 \, {\left(22131399660987 i \, \sqrt{2} + 103718779189248 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 39531061928516\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + 78186752439242270 i \, \sqrt{2} + 366422125847982080 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 224700673505967572\right)} - 33052532426664649 \, \sqrt{2} {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} - 3979900971776820892 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-1572864 \, {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 222\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \frac{16169}{2} i \, \sqrt{2} + 37888 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 93816} + 512 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 512 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 37} + 263218942155746172797 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{-\sqrt{2} \sqrt{-1572864 \, {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 222\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \frac{16169}{2} i \, \sqrt{2} + 37888 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 93816} + 512 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 512 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 37} \log\left(\frac{1}{4} \, {\left(10485760 \, {\left(50643935151 \, \sqrt{2} {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + 35783410727342 \, \sqrt{2}\right)} {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} + 375216256868333649920 \, \sqrt{2} {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} + {\left(531040149448949760 \, \sqrt{2} {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 9369128002935 \, \sqrt{2} {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} - 33052532426664649 \, \sqrt{2}\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \sqrt{-1572864 \, {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 222\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \frac{16169}{2} i \, \sqrt{2} + 37888 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 93816} {\left(5 \, {\left(22131399660987 i \, \sqrt{2} + 103718779189248 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 39531061928516\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + 78186752439242270 i \, \sqrt{2} + 366422125847982080 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 224700673505967572\right)} - 33052532426664649 \, \sqrt{2} {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} - 3979900971776820892 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-1572864 \, {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 222\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \frac{16169}{2} i \, \sqrt{2} + 37888 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 93816} + 512 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 512 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 37} + 263218942155746172797 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{-\sqrt{2} \sqrt{-1572864 \, {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 222\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \frac{16169}{2} i \, \sqrt{2} + 37888 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 93816} + 512 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 512 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 37} \log\left(-\frac{1}{4} \, {\left(10485760 \, {\left(50643935151 \, \sqrt{2} {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + 35783410727342 \, \sqrt{2}\right)} {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} + 375216256868333649920 \, \sqrt{2} {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} + {\left(531040149448949760 \, \sqrt{2} {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 9369128002935 \, \sqrt{2} {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} - 33052532426664649 \, \sqrt{2}\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \sqrt{-1572864 \, {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 222\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \frac{16169}{2} i \, \sqrt{2} + 37888 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 93816} {\left(5 \, {\left(22131399660987 i \, \sqrt{2} + 103718779189248 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 39531061928516\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + 78186752439242270 i \, \sqrt{2} + 366422125847982080 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 224700673505967572\right)} - 33052532426664649 \, \sqrt{2} {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} - 3979900971776820892 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-1572864 \, {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 222\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \frac{16169}{2} i \, \sqrt{2} + 37888 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 93816} + 512 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 512 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 37} + 263218942155746172797 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 64 \, {\left(x^{2} + 1\right)} \sqrt{\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}} \log\left(32 \, {\left(10485760 \, {\left(22131399660987 i \, \sqrt{2} + 103718779189248 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 39531061928516\right)} {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 2175140452142898216960 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{3} - 157187884236889128960 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} + {\left(531040149448949760 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 4094308937282595 i \, \sqrt{2} - 19187974150010880 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 33745847898881839\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + 10835865245014150005 i \, \sqrt{2} + 50782270072743659520 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 25256976385450515878\right)} \sqrt{\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}} + 263218942155746172797 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 64 \, {\left(x^{2} + 1\right)} \sqrt{\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}} \log\left(-32 \, {\left(10485760 \, {\left(22131399660987 i \, \sqrt{2} + 103718779189248 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 39531061928516\right)} {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 2175140452142898216960 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{3} - 157187884236889128960 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} + {\left(531040149448949760 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 4094308937282595 i \, \sqrt{2} - 19187974150010880 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 33745847898881839\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + 10835865245014150005 i \, \sqrt{2} + 50782270072743659520 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 25256976385450515878\right)} \sqrt{\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}} + 263218942155746172797 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 64 \, {\left(x^{2} + 1\right)} \sqrt{-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}} \log\left(64 \, {\left(1087570226071449108480 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{3} + 266202070552611389440 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 12639910957733300809 i \, \sqrt{2} - 59236928241276430336 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 10389861018925133634\right)} \sqrt{-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}} + 263218942155746172797 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 64 \, {\left(x^{2} + 1\right)} \sqrt{-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}} \log\left(-64 \, {\left(1087570226071449108480 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{3} + 266202070552611389440 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 12639910957733300809 i \, \sqrt{2} - 59236928241276430336 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 10389861018925133634\right)} \sqrt{-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}} + 263218942155746172797 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 4 \, {\left(x^{2} + {\left(11 \, x^{2} - \sqrt{x^{2} + 1} {\left(11 \, x - 1\right)} + 3\right)} \sqrt{x + \sqrt{x^{2} + 1}} - \sqrt{x^{2} + 1} {\left(x + 1\right)} + 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{64 \, {\left(x^{2} + 1\right)}}"," ",0,"1/64*(sqrt(2)*(x^2 + 1)*sqrt(sqrt(2)*sqrt(-1572864*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1572864*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1/16*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 222)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 16169/2*I*sqrt(2) + 37888*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 93816) + 512*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 512*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37)*log(1/4*(10485760*(50643935151*sqrt(2)*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 35783410727342*sqrt(2))*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 + 375216256868333649920*sqrt(2)*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 + (531040149448949760*sqrt(2)*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 9369128002935*sqrt(2)*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 74) - 33052532426664649*sqrt(2))*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) - sqrt(-1572864*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1572864*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1/16*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 222)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 16169/2*I*sqrt(2) + 37888*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 93816)*(5*(22131399660987*I*sqrt(2) + 103718779189248*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 39531061928516)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 78186752439242270*I*sqrt(2) + 366422125847982080*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 224700673505967572) - 33052532426664649*sqrt(2)*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 74) - 3979900971776820892*sqrt(2))*sqrt(sqrt(2)*sqrt(-1572864*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1572864*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1/16*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 222)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 16169/2*I*sqrt(2) + 37888*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 93816) + 512*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 512*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37) + 263218942155746172797*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(2)*(x^2 + 1)*sqrt(sqrt(2)*sqrt(-1572864*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1572864*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1/16*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 222)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 16169/2*I*sqrt(2) + 37888*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 93816) + 512*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 512*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37)*log(-1/4*(10485760*(50643935151*sqrt(2)*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 35783410727342*sqrt(2))*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 + 375216256868333649920*sqrt(2)*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 + (531040149448949760*sqrt(2)*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 9369128002935*sqrt(2)*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 74) - 33052532426664649*sqrt(2))*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) - sqrt(-1572864*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1572864*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1/16*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 222)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 16169/2*I*sqrt(2) + 37888*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 93816)*(5*(22131399660987*I*sqrt(2) + 103718779189248*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 39531061928516)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 78186752439242270*I*sqrt(2) + 366422125847982080*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 224700673505967572) - 33052532426664649*sqrt(2)*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 74) - 3979900971776820892*sqrt(2))*sqrt(sqrt(2)*sqrt(-1572864*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1572864*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1/16*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 222)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 16169/2*I*sqrt(2) + 37888*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 93816) + 512*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 512*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37) + 263218942155746172797*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(2)*(x^2 + 1)*sqrt(-sqrt(2)*sqrt(-1572864*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1572864*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1/16*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 222)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 16169/2*I*sqrt(2) + 37888*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 93816) + 512*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 512*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37)*log(1/4*(10485760*(50643935151*sqrt(2)*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 35783410727342*sqrt(2))*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 + 375216256868333649920*sqrt(2)*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 + (531040149448949760*sqrt(2)*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 9369128002935*sqrt(2)*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 74) - 33052532426664649*sqrt(2))*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + sqrt(-1572864*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1572864*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1/16*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 222)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 16169/2*I*sqrt(2) + 37888*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 93816)*(5*(22131399660987*I*sqrt(2) + 103718779189248*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 39531061928516)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 78186752439242270*I*sqrt(2) + 366422125847982080*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 224700673505967572) - 33052532426664649*sqrt(2)*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 74) - 3979900971776820892*sqrt(2))*sqrt(-sqrt(2)*sqrt(-1572864*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1572864*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1/16*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 222)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 16169/2*I*sqrt(2) + 37888*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 93816) + 512*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 512*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37) + 263218942155746172797*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(2)*(x^2 + 1)*sqrt(-sqrt(2)*sqrt(-1572864*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1572864*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1/16*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 222)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 16169/2*I*sqrt(2) + 37888*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 93816) + 512*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 512*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37)*log(-1/4*(10485760*(50643935151*sqrt(2)*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 35783410727342*sqrt(2))*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 + 375216256868333649920*sqrt(2)*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 + (531040149448949760*sqrt(2)*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 9369128002935*sqrt(2)*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 74) - 33052532426664649*sqrt(2))*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + sqrt(-1572864*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1572864*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1/16*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 222)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 16169/2*I*sqrt(2) + 37888*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 93816)*(5*(22131399660987*I*sqrt(2) + 103718779189248*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 39531061928516)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 78186752439242270*I*sqrt(2) + 366422125847982080*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 224700673505967572) - 33052532426664649*sqrt(2)*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 74) - 3979900971776820892*sqrt(2))*sqrt(-sqrt(2)*sqrt(-1572864*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1572864*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1/16*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 222)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 16169/2*I*sqrt(2) + 37888*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 93816) + 512*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 512*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37) + 263218942155746172797*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 64*(x^2 + 1)*sqrt(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)*log(32*(10485760*(22131399660987*I*sqrt(2) + 103718779189248*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 39531061928516)*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 2175140452142898216960*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^3 - 157187884236889128960*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 + (531040149448949760*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 4094308937282595*I*sqrt(2) - 19187974150010880*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 33745847898881839)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 10835865245014150005*I*sqrt(2) + 50782270072743659520*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 25256976385450515878)*sqrt(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048) + 263218942155746172797*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 64*(x^2 + 1)*sqrt(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)*log(-32*(10485760*(22131399660987*I*sqrt(2) + 103718779189248*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 39531061928516)*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 2175140452142898216960*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^3 - 157187884236889128960*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 + (531040149448949760*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 4094308937282595*I*sqrt(2) - 19187974150010880*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 33745847898881839)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 10835865245014150005*I*sqrt(2) + 50782270072743659520*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 25256976385450515878)*sqrt(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048) + 263218942155746172797*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 64*(x^2 + 1)*sqrt(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)*log(64*(1087570226071449108480*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^3 + 266202070552611389440*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 12639910957733300809*I*sqrt(2) - 59236928241276430336*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 10389861018925133634)*sqrt(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048) + 263218942155746172797*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 64*(x^2 + 1)*sqrt(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)*log(-64*(1087570226071449108480*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^3 + 266202070552611389440*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 12639910957733300809*I*sqrt(2) - 59236928241276430336*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 10389861018925133634)*sqrt(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048) + 263218942155746172797*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 4*(x^2 + (11*x^2 - sqrt(x^2 + 1)*(11*x - 1) + 3)*sqrt(x + sqrt(x^2 + 1)) - sqrt(x^2 + 1)*(x + 1) + 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 + 1)","B",0
3004,1,3327,0,1.663014," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1)^2/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(x^{2} + 1\right)} \sqrt{\sqrt{2} \sqrt{-1572864 \, {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 222\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \frac{16169}{2} i \, \sqrt{2} + 37888 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 93816} + 512 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 512 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 37} \log\left(\frac{1}{4} \, {\left(10485760 \, {\left(50643935151 \, \sqrt{2} {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + 35783410727342 \, \sqrt{2}\right)} {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} + 375216256868333649920 \, \sqrt{2} {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} + {\left(531040149448949760 \, \sqrt{2} {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 9369128002935 \, \sqrt{2} {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} - 33052532426664649 \, \sqrt{2}\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} - \sqrt{-1572864 \, {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 222\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \frac{16169}{2} i \, \sqrt{2} + 37888 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 93816} {\left(5 \, {\left(22131399660987 i \, \sqrt{2} + 103718779189248 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 39531061928516\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + 78186752439242270 i \, \sqrt{2} + 366422125847982080 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 224700673505967572\right)} - 33052532426664649 \, \sqrt{2} {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} - 3979900971776820892 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-1572864 \, {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 222\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \frac{16169}{2} i \, \sqrt{2} + 37888 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 93816} + 512 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 512 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 37} + 263218942155746172797 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{\sqrt{2} \sqrt{-1572864 \, {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 222\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \frac{16169}{2} i \, \sqrt{2} + 37888 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 93816} + 512 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 512 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 37} \log\left(-\frac{1}{4} \, {\left(10485760 \, {\left(50643935151 \, \sqrt{2} {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + 35783410727342 \, \sqrt{2}\right)} {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} + 375216256868333649920 \, \sqrt{2} {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} + {\left(531040149448949760 \, \sqrt{2} {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 9369128002935 \, \sqrt{2} {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} - 33052532426664649 \, \sqrt{2}\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} - \sqrt{-1572864 \, {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 222\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \frac{16169}{2} i \, \sqrt{2} + 37888 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 93816} {\left(5 \, {\left(22131399660987 i \, \sqrt{2} + 103718779189248 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 39531061928516\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + 78186752439242270 i \, \sqrt{2} + 366422125847982080 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 224700673505967572\right)} - 33052532426664649 \, \sqrt{2} {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} - 3979900971776820892 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-1572864 \, {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 222\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \frac{16169}{2} i \, \sqrt{2} + 37888 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 93816} + 512 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 512 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 37} + 263218942155746172797 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{-\sqrt{2} \sqrt{-1572864 \, {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 222\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \frac{16169}{2} i \, \sqrt{2} + 37888 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 93816} + 512 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 512 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 37} \log\left(\frac{1}{4} \, {\left(10485760 \, {\left(50643935151 \, \sqrt{2} {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + 35783410727342 \, \sqrt{2}\right)} {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} + 375216256868333649920 \, \sqrt{2} {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} + {\left(531040149448949760 \, \sqrt{2} {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 9369128002935 \, \sqrt{2} {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} - 33052532426664649 \, \sqrt{2}\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \sqrt{-1572864 \, {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 222\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \frac{16169}{2} i \, \sqrt{2} + 37888 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 93816} {\left(5 \, {\left(22131399660987 i \, \sqrt{2} + 103718779189248 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 39531061928516\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + 78186752439242270 i \, \sqrt{2} + 366422125847982080 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 224700673505967572\right)} - 33052532426664649 \, \sqrt{2} {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} - 3979900971776820892 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-1572864 \, {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 222\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \frac{16169}{2} i \, \sqrt{2} + 37888 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 93816} + 512 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 512 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 37} + 263218942155746172797 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{-\sqrt{2} \sqrt{-1572864 \, {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 222\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \frac{16169}{2} i \, \sqrt{2} + 37888 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 93816} + 512 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 512 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 37} \log\left(-\frac{1}{4} \, {\left(10485760 \, {\left(50643935151 \, \sqrt{2} {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + 35783410727342 \, \sqrt{2}\right)} {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} + 375216256868333649920 \, \sqrt{2} {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} + {\left(531040149448949760 \, \sqrt{2} {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 9369128002935 \, \sqrt{2} {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} - 33052532426664649 \, \sqrt{2}\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \sqrt{-1572864 \, {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 222\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \frac{16169}{2} i \, \sqrt{2} + 37888 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 93816} {\left(5 \, {\left(22131399660987 i \, \sqrt{2} + 103718779189248 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 39531061928516\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + 78186752439242270 i \, \sqrt{2} + 366422125847982080 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 224700673505967572\right)} - 33052532426664649 \, \sqrt{2} {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} - 3979900971776820892 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-1572864 \, {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 1572864 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - \frac{1}{16} \, {\left(437 i \, \sqrt{2} + 2048 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 222\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + \frac{16169}{2} i \, \sqrt{2} + 37888 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 93816} + 512 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 512 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 37} + 263218942155746172797 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 64 \, {\left(x^{2} + 1\right)} \sqrt{\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}} \log\left(32 \, {\left(10485760 \, {\left(22131399660987 i \, \sqrt{2} + 103718779189248 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 39531061928516\right)} {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 2175140452142898216960 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{3} - 157187884236889128960 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} + {\left(531040149448949760 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 4094308937282595 i \, \sqrt{2} - 19187974150010880 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 33745847898881839\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + 10835865245014150005 i \, \sqrt{2} + 50782270072743659520 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 25256976385450515878\right)} \sqrt{\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}} + 263218942155746172797 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 64 \, {\left(x^{2} + 1\right)} \sqrt{\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}} \log\left(-32 \, {\left(10485760 \, {\left(22131399660987 i \, \sqrt{2} + 103718779189248 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 39531061928516\right)} {\left(\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 2175140452142898216960 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{3} - 157187884236889128960 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} + {\left(531040149448949760 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 4094308937282595 i \, \sqrt{2} - 19187974150010880 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 33745847898881839\right)} {\left(-437 i \, \sqrt{2} + 2048 \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 74\right)} + 10835865245014150005 i \, \sqrt{2} + 50782270072743659520 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} + 25256976385450515878\right)} \sqrt{\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}} + 263218942155746172797 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 64 \, {\left(x^{2} + 1\right)} \sqrt{-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}} \log\left(64 \, {\left(1087570226071449108480 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{3} + 266202070552611389440 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 12639910957733300809 i \, \sqrt{2} - 59236928241276430336 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 10389861018925133634\right)} \sqrt{-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}} + 263218942155746172797 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 64 \, {\left(x^{2} + 1\right)} \sqrt{-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}} \log\left(-64 \, {\left(1087570226071449108480 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{3} + 266202070552611389440 \, {\left(-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}\right)}^{2} - 12639910957733300809 i \, \sqrt{2} - 59236928241276430336 \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - 10389861018925133634\right)} \sqrt{-\frac{437}{4096} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{49125}{524288} i \, \sqrt{2} + \frac{3337}{2097152}} - \frac{37}{2048}} + 263218942155746172797 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 4 \, {\left(x^{2} + {\left(11 \, x^{2} - \sqrt{x^{2} + 1} {\left(11 \, x - 1\right)} + 3\right)} \sqrt{x + \sqrt{x^{2} + 1}} - \sqrt{x^{2} + 1} {\left(x + 1\right)} + 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{64 \, {\left(x^{2} + 1\right)}}"," ",0,"1/64*(sqrt(2)*(x^2 + 1)*sqrt(sqrt(2)*sqrt(-1572864*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1572864*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1/16*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 222)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 16169/2*I*sqrt(2) + 37888*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 93816) + 512*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 512*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37)*log(1/4*(10485760*(50643935151*sqrt(2)*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 35783410727342*sqrt(2))*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 + 375216256868333649920*sqrt(2)*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 + (531040149448949760*sqrt(2)*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 9369128002935*sqrt(2)*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 74) - 33052532426664649*sqrt(2))*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) - sqrt(-1572864*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1572864*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1/16*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 222)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 16169/2*I*sqrt(2) + 37888*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 93816)*(5*(22131399660987*I*sqrt(2) + 103718779189248*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 39531061928516)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 78186752439242270*I*sqrt(2) + 366422125847982080*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 224700673505967572) - 33052532426664649*sqrt(2)*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 74) - 3979900971776820892*sqrt(2))*sqrt(sqrt(2)*sqrt(-1572864*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1572864*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1/16*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 222)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 16169/2*I*sqrt(2) + 37888*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 93816) + 512*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 512*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37) + 263218942155746172797*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(2)*(x^2 + 1)*sqrt(sqrt(2)*sqrt(-1572864*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1572864*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1/16*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 222)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 16169/2*I*sqrt(2) + 37888*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 93816) + 512*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 512*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37)*log(-1/4*(10485760*(50643935151*sqrt(2)*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 35783410727342*sqrt(2))*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 + 375216256868333649920*sqrt(2)*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 + (531040149448949760*sqrt(2)*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 9369128002935*sqrt(2)*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 74) - 33052532426664649*sqrt(2))*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) - sqrt(-1572864*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1572864*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1/16*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 222)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 16169/2*I*sqrt(2) + 37888*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 93816)*(5*(22131399660987*I*sqrt(2) + 103718779189248*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 39531061928516)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 78186752439242270*I*sqrt(2) + 366422125847982080*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 224700673505967572) - 33052532426664649*sqrt(2)*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 74) - 3979900971776820892*sqrt(2))*sqrt(sqrt(2)*sqrt(-1572864*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1572864*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1/16*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 222)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 16169/2*I*sqrt(2) + 37888*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 93816) + 512*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 512*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37) + 263218942155746172797*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(2)*(x^2 + 1)*sqrt(-sqrt(2)*sqrt(-1572864*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1572864*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1/16*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 222)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 16169/2*I*sqrt(2) + 37888*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 93816) + 512*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 512*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37)*log(1/4*(10485760*(50643935151*sqrt(2)*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 35783410727342*sqrt(2))*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 + 375216256868333649920*sqrt(2)*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 + (531040149448949760*sqrt(2)*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 9369128002935*sqrt(2)*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 74) - 33052532426664649*sqrt(2))*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + sqrt(-1572864*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1572864*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1/16*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 222)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 16169/2*I*sqrt(2) + 37888*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 93816)*(5*(22131399660987*I*sqrt(2) + 103718779189248*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 39531061928516)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 78186752439242270*I*sqrt(2) + 366422125847982080*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 224700673505967572) - 33052532426664649*sqrt(2)*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 74) - 3979900971776820892*sqrt(2))*sqrt(-sqrt(2)*sqrt(-1572864*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1572864*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1/16*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 222)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 16169/2*I*sqrt(2) + 37888*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 93816) + 512*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 512*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37) + 263218942155746172797*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(2)*(x^2 + 1)*sqrt(-sqrt(2)*sqrt(-1572864*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1572864*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1/16*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 222)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 16169/2*I*sqrt(2) + 37888*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 93816) + 512*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 512*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37)*log(-1/4*(10485760*(50643935151*sqrt(2)*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 35783410727342*sqrt(2))*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 + 375216256868333649920*sqrt(2)*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 + (531040149448949760*sqrt(2)*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 9369128002935*sqrt(2)*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 74) - 33052532426664649*sqrt(2))*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + sqrt(-1572864*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1572864*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1/16*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 222)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 16169/2*I*sqrt(2) + 37888*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 93816)*(5*(22131399660987*I*sqrt(2) + 103718779189248*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 39531061928516)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 78186752439242270*I*sqrt(2) + 366422125847982080*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 224700673505967572) - 33052532426664649*sqrt(2)*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 74) - 3979900971776820892*sqrt(2))*sqrt(-sqrt(2)*sqrt(-1572864*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1572864*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 1/16*(437*I*sqrt(2) + 2048*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 222)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 16169/2*I*sqrt(2) + 37888*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 93816) + 512*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 512*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37) + 263218942155746172797*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 64*(x^2 + 1)*sqrt(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)*log(32*(10485760*(22131399660987*I*sqrt(2) + 103718779189248*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 39531061928516)*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 2175140452142898216960*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^3 - 157187884236889128960*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 + (531040149448949760*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 4094308937282595*I*sqrt(2) - 19187974150010880*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 33745847898881839)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 10835865245014150005*I*sqrt(2) + 50782270072743659520*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 25256976385450515878)*sqrt(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048) + 263218942155746172797*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 64*(x^2 + 1)*sqrt(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)*log(-32*(10485760*(22131399660987*I*sqrt(2) + 103718779189248*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 39531061928516)*(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 2175140452142898216960*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^3 - 157187884236889128960*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 + (531040149448949760*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 4094308937282595*I*sqrt(2) - 19187974150010880*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 33745847898881839)*(-437*I*sqrt(2) + 2048*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) + 74) + 10835865245014150005*I*sqrt(2) + 50782270072743659520*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) + 25256976385450515878)*sqrt(437/4096*I*sqrt(2) - 1/2*sqrt(-49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048) + 263218942155746172797*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 64*(x^2 + 1)*sqrt(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)*log(64*(1087570226071449108480*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^3 + 266202070552611389440*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 12639910957733300809*I*sqrt(2) - 59236928241276430336*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 10389861018925133634)*sqrt(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048) + 263218942155746172797*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 64*(x^2 + 1)*sqrt(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)*log(-64*(1087570226071449108480*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^3 + 266202070552611389440*(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048)^2 - 12639910957733300809*I*sqrt(2) - 59236928241276430336*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 10389861018925133634)*sqrt(-437/4096*I*sqrt(2) - 1/2*sqrt(49125/524288*I*sqrt(2) + 3337/2097152) - 37/2048) + 263218942155746172797*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 4*(x^2 + (11*x^2 - sqrt(x^2 + 1)*(11*x - 1) + 3)*sqrt(x + sqrt(x^2 + 1)) - sqrt(x^2 + 1)*(x + 1) + 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 + 1)","B",0
3005,-1,0,0,0.000000," ","integrate((1+(-2+k)*x)*(k^2*x^2-2*k*x+1)/((1-x)*x*(-k*x+1))^(1/3)/(b-4*b*k*x+(6*b*k^2-1)*x^2+(-4*b*k^3+2)*x^3+(b*k^4-1)*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3006,1,6878,0,2.379276," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{2} {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 78 \, \sqrt{2} + 649} - \frac{39}{2} \, \sqrt{2} - 4} \log\left(\frac{1}{4} \, {\left({\left(8674646 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)} + 295619989 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} + 295619989 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - {\left(8674646 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - 277588672 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)} + 3494605993 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} + 8 \, {\left({\left(17349292 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 338311194 \, \sqrt{2} + 365017157\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} - 591239978 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 11529179571 \, \sqrt{2} + 10589485729\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 78 \, \sqrt{2} + 649} + 3494605993 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)} - 4975202382104 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 78 \, \sqrt{2} + 649} - \frac{39}{2} \, \sqrt{2} - 4} + 14527409494457 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 78 \, \sqrt{2} + 649} - \frac{39}{2} \, \sqrt{2} - 4} \log\left(-\frac{1}{4} \, {\left({\left(8674646 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)} + 295619989 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} + 295619989 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - {\left(8674646 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - 277588672 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)} + 3494605993 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} + 8 \, {\left({\left(17349292 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 338311194 \, \sqrt{2} + 365017157\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} - 591239978 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 11529179571 \, \sqrt{2} + 10589485729\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 78 \, \sqrt{2} + 649} + 3494605993 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)} - 4975202382104 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 78 \, \sqrt{2} + 649} - \frac{39}{2} \, \sqrt{2} - 4} + 14527409494457 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 78 \, \sqrt{2} + 649} - \frac{39}{2} \, \sqrt{2} - 4} \log\left(\frac{1}{4} \, {\left({\left(8674646 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)} + 295619989 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} + 295619989 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - {\left(8674646 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - 277588672 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)} + 3494605993 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} - 8 \, {\left({\left(17349292 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 338311194 \, \sqrt{2} + 365017157\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} - 591239978 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 11529179571 \, \sqrt{2} + 10589485729\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 78 \, \sqrt{2} + 649} + 3494605993 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)} - 4975202382104 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 78 \, \sqrt{2} + 649} - \frac{39}{2} \, \sqrt{2} - 4} + 14527409494457 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 78 \, \sqrt{2} + 649} - \frac{39}{2} \, \sqrt{2} - 4} \log\left(-\frac{1}{4} \, {\left({\left(8674646 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)} + 295619989 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} + 295619989 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - {\left(8674646 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - 277588672 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)} + 3494605993 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} - 8 \, {\left({\left(17349292 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 338311194 \, \sqrt{2} + 365017157\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} - 591239978 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 11529179571 \, \sqrt{2} + 10589485729\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 78 \, \sqrt{2} + 649} + 3494605993 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)} - 4975202382104 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 78 \, \sqrt{2} + 649} - \frac{39}{2} \, \sqrt{2} - 4} + 14527409494457 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8} \log\left(\frac{1}{2} \, {\left({\left(17349292 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 338311194 \, \sqrt{2} + 365017157\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} + 8674646 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{3} - {\left(8674646 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - 555177344 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 10825958208 \, \sqrt{2} + 1273896617\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} - 277588672 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - 83415395936 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 1626600220752 \, \sqrt{2} + 525327569940\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8} + 14527409494457 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8} \log\left(-\frac{1}{2} \, {\left({\left(17349292 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 338311194 \, \sqrt{2} + 365017157\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} + 8674646 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{3} - {\left(8674646 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - 555177344 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 10825958208 \, \sqrt{2} + 1273896617\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} - 277588672 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - 83415395936 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 1626600220752 \, \sqrt{2} + 525327569940\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8} + 14527409494457 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 32 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + \frac{39}{1024} \, \sqrt{2} - \frac{1}{128}} \log\left(16 \, {\left(8674646 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{3} - 573208661 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - 90404607922 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 1762889854479 \, \sqrt{2} + 6762703827012\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + \frac{39}{1024} \, \sqrt{2} - \frac{1}{128}} + 14527409494457 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 32 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + \frac{39}{1024} \, \sqrt{2} - \frac{1}{128}} \log\left(-16 \, {\left(8674646 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{3} - 573208661 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - 90404607922 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 1762889854479 \, \sqrt{2} + 6762703827012\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + \frac{39}{1024} \, \sqrt{2} - \frac{1}{128}} + 14527409494457 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10} \log\left(\frac{1}{4} \, {\left(9 \, {\left(1937306 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 39714773 \, \sqrt{2} + 63061452\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + 8717877 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{3} - {\left(8717877 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} + 697430160 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 14297318280 \, \sqrt{2} + 35153973706\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} + 348715080 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - 118005183072 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 2419106252976 \, \sqrt{2} - 1341872612008\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10} + 8529857499113 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10} \log\left(-\frac{1}{4} \, {\left(9 \, {\left(1937306 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 39714773 \, \sqrt{2} + 63061452\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + 8717877 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{3} - {\left(8717877 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} + 697430160 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 14297318280 \, \sqrt{2} + 35153973706\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} + 348715080 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - 118005183072 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 2419106252976 \, \sqrt{2} - 1341872612008\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10} + 8529857499113 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 32 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{41}{1024} \, \sqrt{2} + \frac{5}{512}} \log\left(8 \, {\left(8717877 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{3} - 306016758 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - 195287432084 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 4003392357722 \, \sqrt{2} + 8801481053756\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{41}{1024} \, \sqrt{2} + \frac{5}{512}} + 8529857499113 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 32 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{41}{1024} \, \sqrt{2} + \frac{5}{512}} \log\left(-8 \, {\left(8717877 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{3} - 306016758 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - 195287432084 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 4003392357722 \, \sqrt{2} + 8801481053756\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{41}{1024} \, \sqrt{2} + \frac{5}{512}} + 8529857499113 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{41}{4} \, \sqrt{2} + 8 \, \sqrt{-\frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{2048} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} + 30\right)} - \frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{128} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{205}{256} \, \sqrt{2} + \frac{921}{128}} + \frac{5}{2}} \log\left(\frac{1}{4} \, {\left(9 \, {\left(1937306 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 39714773 \, \sqrt{2} + 63061452\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} - {\left(8717877 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} + 697430160 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 14297318280 \, \sqrt{2} + 35153973706\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} + 654731838 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} + 64 \, {\left(9 \, {\left(1937306 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 39714773 \, \sqrt{2} + 63061452\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} - 1309463676 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 26844005358 \, \sqrt{2} + 18999169366\right)} \sqrt{-\frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{2048} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} + 30\right)} - \frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{128} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{205}{256} \, \sqrt{2} + \frac{921}{128}} + 77282249012 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 1584286104746 \, \sqrt{2} - 4886990310052\right)} \sqrt{-\frac{41}{4} \, \sqrt{2} + 8 \, \sqrt{-\frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{2048} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} + 30\right)} - \frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{128} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{205}{256} \, \sqrt{2} + \frac{921}{128}} + \frac{5}{2}} + 8529857499113 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{41}{4} \, \sqrt{2} + 8 \, \sqrt{-\frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{2048} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} + 30\right)} - \frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{128} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{205}{256} \, \sqrt{2} + \frac{921}{128}} + \frac{5}{2}} \log\left(-\frac{1}{4} \, {\left(9 \, {\left(1937306 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 39714773 \, \sqrt{2} + 63061452\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} - {\left(8717877 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} + 697430160 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 14297318280 \, \sqrt{2} + 35153973706\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} + 654731838 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} + 64 \, {\left(9 \, {\left(1937306 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 39714773 \, \sqrt{2} + 63061452\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} - 1309463676 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 26844005358 \, \sqrt{2} + 18999169366\right)} \sqrt{-\frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{2048} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} + 30\right)} - \frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{128} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{205}{256} \, \sqrt{2} + \frac{921}{128}} + 77282249012 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 1584286104746 \, \sqrt{2} - 4886990310052\right)} \sqrt{-\frac{41}{4} \, \sqrt{2} + 8 \, \sqrt{-\frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{2048} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} + 30\right)} - \frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{128} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{205}{256} \, \sqrt{2} + \frac{921}{128}} + \frac{5}{2}} + 8529857499113 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{41}{4} \, \sqrt{2} - 8 \, \sqrt{-\frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{2048} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} + 30\right)} - \frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{128} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{205}{256} \, \sqrt{2} + \frac{921}{128}} + \frac{5}{2}} \log\left(\frac{1}{4} \, {\left(9 \, {\left(1937306 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 39714773 \, \sqrt{2} + 63061452\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} - {\left(8717877 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} + 697430160 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 14297318280 \, \sqrt{2} + 35153973706\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} + 654731838 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - 64 \, {\left(9 \, {\left(1937306 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 39714773 \, \sqrt{2} + 63061452\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} - 1309463676 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 26844005358 \, \sqrt{2} + 18999169366\right)} \sqrt{-\frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{2048} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} + 30\right)} - \frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{128} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{205}{256} \, \sqrt{2} + \frac{921}{128}} + 77282249012 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 1584286104746 \, \sqrt{2} - 4886990310052\right)} \sqrt{-\frac{41}{4} \, \sqrt{2} - 8 \, \sqrt{-\frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{2048} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} + 30\right)} - \frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{128} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{205}{256} \, \sqrt{2} + \frac{921}{128}} + \frac{5}{2}} + 8529857499113 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{41}{4} \, \sqrt{2} - 8 \, \sqrt{-\frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{2048} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} + 30\right)} - \frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{128} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{205}{256} \, \sqrt{2} + \frac{921}{128}} + \frac{5}{2}} \log\left(-\frac{1}{4} \, {\left(9 \, {\left(1937306 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 39714773 \, \sqrt{2} + 63061452\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} - {\left(8717877 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} + 697430160 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 14297318280 \, \sqrt{2} + 35153973706\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} + 654731838 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - 64 \, {\left(9 \, {\left(1937306 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 39714773 \, \sqrt{2} + 63061452\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} - 1309463676 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 26844005358 \, \sqrt{2} + 18999169366\right)} \sqrt{-\frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{2048} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} + 30\right)} - \frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{128} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{205}{256} \, \sqrt{2} + \frac{921}{128}} + 77282249012 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 1584286104746 \, \sqrt{2} - 4886990310052\right)} \sqrt{-\frac{41}{4} \, \sqrt{2} - 8 \, \sqrt{-\frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{2048} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} + 30\right)} - \frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{128} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{205}{256} \, \sqrt{2} + \frac{921}{128}} + \frac{5}{2}} + 8529857499113 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 16 \, {\left(x^{2} - \sqrt{x^{2} + 1} x\right)} \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{32 \, {\left(x^{2} - 1\right)}}"," ",0,"-1/32*(sqrt(2)*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 78*sqrt(2) + 649) - 39/2*sqrt(2) - 4)*log(1/4*((8674646*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8) + 295619989*sqrt(2))*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 + 295619989*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - (8674646*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - 277588672*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8) + 3494605993*sqrt(2))*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8) + 8*((17349292*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 338311194*sqrt(2) + 365017157)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8) - 591239978*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 11529179571*sqrt(2) + 10589485729)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 78*sqrt(2) + 649) + 3494605993*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8) - 4975202382104*sqrt(2))*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 78*sqrt(2) + 649) - 39/2*sqrt(2) - 4) + 14527409494457*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(2)*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 78*sqrt(2) + 649) - 39/2*sqrt(2) - 4)*log(-1/4*((8674646*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8) + 295619989*sqrt(2))*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 + 295619989*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - (8674646*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - 277588672*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8) + 3494605993*sqrt(2))*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8) + 8*((17349292*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 338311194*sqrt(2) + 365017157)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8) - 591239978*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 11529179571*sqrt(2) + 10589485729)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 78*sqrt(2) + 649) + 3494605993*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8) - 4975202382104*sqrt(2))*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 78*sqrt(2) + 649) - 39/2*sqrt(2) - 4) + 14527409494457*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(2)*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 78*sqrt(2) + 649) - 39/2*sqrt(2) - 4)*log(1/4*((8674646*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8) + 295619989*sqrt(2))*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 + 295619989*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - (8674646*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - 277588672*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8) + 3494605993*sqrt(2))*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8) - 8*((17349292*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 338311194*sqrt(2) + 365017157)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8) - 591239978*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 11529179571*sqrt(2) + 10589485729)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 78*sqrt(2) + 649) + 3494605993*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8) - 4975202382104*sqrt(2))*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 78*sqrt(2) + 649) - 39/2*sqrt(2) - 4) + 14527409494457*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(2)*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 78*sqrt(2) + 649) - 39/2*sqrt(2) - 4)*log(-1/4*((8674646*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8) + 295619989*sqrt(2))*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 + 295619989*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - (8674646*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - 277588672*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8) + 3494605993*sqrt(2))*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8) - 8*((17349292*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 338311194*sqrt(2) + 365017157)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8) - 591239978*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 11529179571*sqrt(2) + 10589485729)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 78*sqrt(2) + 649) + 3494605993*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8) - 4975202382104*sqrt(2))*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 78*sqrt(2) + 649) - 39/2*sqrt(2) - 4) + 14527409494457*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*log(1/2*((17349292*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 338311194*sqrt(2) + 365017157)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 + 8674646*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^3 - (8674646*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - 555177344*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 10825958208*sqrt(2) + 1273896617)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8) - 277588672*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - 83415395936*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 1626600220752*sqrt(2) + 525327569940)*sqrt(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8) + 14527409494457*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*log(-1/2*((17349292*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 338311194*sqrt(2) + 365017157)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 + 8674646*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^3 - (8674646*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - 555177344*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 10825958208*sqrt(2) + 1273896617)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8) - 277588672*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - 83415395936*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 1626600220752*sqrt(2) + 525327569940)*sqrt(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8) + 14527409494457*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 32*(x^2 - 1)*sqrt(-1/512*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39/1024*sqrt(2) - 1/128)*log(16*(8674646*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^3 - 573208661*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - 90404607922*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 1762889854479*sqrt(2) + 6762703827012)*sqrt(-1/512*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39/1024*sqrt(2) - 1/128) + 14527409494457*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 32*(x^2 - 1)*sqrt(-1/512*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39/1024*sqrt(2) - 1/128)*log(-16*(8674646*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^3 - 573208661*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - 90404607922*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 1762889854479*sqrt(2) + 6762703827012)*sqrt(-1/512*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39/1024*sqrt(2) - 1/128) + 14527409494457*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*log(1/4*(9*(1937306*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 39714773*sqrt(2) + 63061452)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 8717877*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^3 - (8717877*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 + 697430160*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 14297318280*sqrt(2) + 35153973706)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10) + 348715080*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 118005183072*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 2419106252976*sqrt(2) - 1341872612008)*sqrt(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10) + 8529857499113*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*log(-1/4*(9*(1937306*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 39714773*sqrt(2) + 63061452)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 8717877*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^3 - (8717877*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 + 697430160*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 14297318280*sqrt(2) + 35153973706)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10) + 348715080*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 118005183072*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 2419106252976*sqrt(2) - 1341872612008)*sqrt(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10) + 8529857499113*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 32*(x^2 - 1)*sqrt(-1/512*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41/1024*sqrt(2) + 5/512)*log(8*(8717877*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^3 - 306016758*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 195287432084*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 4003392357722*sqrt(2) + 8801481053756)*sqrt(-1/512*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41/1024*sqrt(2) + 5/512) + 8529857499113*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 32*(x^2 - 1)*sqrt(-1/512*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41/1024*sqrt(2) + 5/512)*log(-8*(8717877*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^3 - 306016758*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 195287432084*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 4003392357722*sqrt(2) + 8801481053756)*sqrt(-1/512*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41/1024*sqrt(2) + 5/512) + 8529857499113*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-41/4*sqrt(2) + 8*sqrt(-3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 1/2048*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) + 30) - 3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 5/128*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 205/256*sqrt(2) + 921/128) + 5/2)*log(1/4*(9*(1937306*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 39714773*sqrt(2) + 63061452)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 - (8717877*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 + 697430160*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 14297318280*sqrt(2) + 35153973706)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10) + 654731838*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 + 64*(9*(1937306*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 39714773*sqrt(2) + 63061452)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10) - 1309463676*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 26844005358*sqrt(2) + 18999169366)*sqrt(-3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 1/2048*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) + 30) - 3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 5/128*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 205/256*sqrt(2) + 921/128) + 77282249012*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 1584286104746*sqrt(2) - 4886990310052)*sqrt(-41/4*sqrt(2) + 8*sqrt(-3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 1/2048*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) + 30) - 3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 5/128*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 205/256*sqrt(2) + 921/128) + 5/2) + 8529857499113*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-41/4*sqrt(2) + 8*sqrt(-3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 1/2048*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) + 30) - 3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 5/128*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 205/256*sqrt(2) + 921/128) + 5/2)*log(-1/4*(9*(1937306*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 39714773*sqrt(2) + 63061452)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 - (8717877*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 + 697430160*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 14297318280*sqrt(2) + 35153973706)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10) + 654731838*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 + 64*(9*(1937306*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 39714773*sqrt(2) + 63061452)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10) - 1309463676*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 26844005358*sqrt(2) + 18999169366)*sqrt(-3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 1/2048*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) + 30) - 3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 5/128*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 205/256*sqrt(2) + 921/128) + 77282249012*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 1584286104746*sqrt(2) - 4886990310052)*sqrt(-41/4*sqrt(2) + 8*sqrt(-3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 1/2048*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) + 30) - 3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 5/128*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 205/256*sqrt(2) + 921/128) + 5/2) + 8529857499113*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-41/4*sqrt(2) - 8*sqrt(-3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 1/2048*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) + 30) - 3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 5/128*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 205/256*sqrt(2) + 921/128) + 5/2)*log(1/4*(9*(1937306*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 39714773*sqrt(2) + 63061452)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 - (8717877*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 + 697430160*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 14297318280*sqrt(2) + 35153973706)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10) + 654731838*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 64*(9*(1937306*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 39714773*sqrt(2) + 63061452)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10) - 1309463676*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 26844005358*sqrt(2) + 18999169366)*sqrt(-3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 1/2048*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) + 30) - 3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 5/128*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 205/256*sqrt(2) + 921/128) + 77282249012*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 1584286104746*sqrt(2) - 4886990310052)*sqrt(-41/4*sqrt(2) - 8*sqrt(-3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 1/2048*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) + 30) - 3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 5/128*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 205/256*sqrt(2) + 921/128) + 5/2) + 8529857499113*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-41/4*sqrt(2) - 8*sqrt(-3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 1/2048*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) + 30) - 3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 5/128*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 205/256*sqrt(2) + 921/128) + 5/2)*log(-1/4*(9*(1937306*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 39714773*sqrt(2) + 63061452)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 - (8717877*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 + 697430160*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 14297318280*sqrt(2) + 35153973706)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10) + 654731838*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 64*(9*(1937306*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 39714773*sqrt(2) + 63061452)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10) - 1309463676*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 26844005358*sqrt(2) + 18999169366)*sqrt(-3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 1/2048*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) + 30) - 3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 5/128*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 205/256*sqrt(2) + 921/128) + 77282249012*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 1584286104746*sqrt(2) - 4886990310052)*sqrt(-41/4*sqrt(2) - 8*sqrt(-3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 1/2048*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) + 30) - 3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 5/128*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 205/256*sqrt(2) + 921/128) + 5/2) + 8529857499113*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 16*(x^2 - sqrt(x^2 + 1)*x)*sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 - 1)","B",0
3007,1,6878,0,2.258572," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{2} {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 78 \, \sqrt{2} + 649} - \frac{39}{2} \, \sqrt{2} - 4} \log\left(\frac{1}{4} \, {\left({\left(8674646 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)} + 295619989 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} + 295619989 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - {\left(8674646 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - 277588672 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)} + 3494605993 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} + 8 \, {\left({\left(17349292 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 338311194 \, \sqrt{2} + 365017157\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} - 591239978 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 11529179571 \, \sqrt{2} + 10589485729\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 78 \, \sqrt{2} + 649} + 3494605993 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)} - 4975202382104 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 78 \, \sqrt{2} + 649} - \frac{39}{2} \, \sqrt{2} - 4} + 14527409494457 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 78 \, \sqrt{2} + 649} - \frac{39}{2} \, \sqrt{2} - 4} \log\left(-\frac{1}{4} \, {\left({\left(8674646 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)} + 295619989 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} + 295619989 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - {\left(8674646 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - 277588672 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)} + 3494605993 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} + 8 \, {\left({\left(17349292 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 338311194 \, \sqrt{2} + 365017157\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} - 591239978 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 11529179571 \, \sqrt{2} + 10589485729\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 78 \, \sqrt{2} + 649} + 3494605993 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)} - 4975202382104 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 78 \, \sqrt{2} + 649} - \frac{39}{2} \, \sqrt{2} - 4} + 14527409494457 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 78 \, \sqrt{2} + 649} - \frac{39}{2} \, \sqrt{2} - 4} \log\left(\frac{1}{4} \, {\left({\left(8674646 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)} + 295619989 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} + 295619989 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - {\left(8674646 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - 277588672 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)} + 3494605993 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} - 8 \, {\left({\left(17349292 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 338311194 \, \sqrt{2} + 365017157\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} - 591239978 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 11529179571 \, \sqrt{2} + 10589485729\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 78 \, \sqrt{2} + 649} + 3494605993 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)} - 4975202382104 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 78 \, \sqrt{2} + 649} - \frac{39}{2} \, \sqrt{2} - 4} + 14527409494457 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 78 \, \sqrt{2} + 649} - \frac{39}{2} \, \sqrt{2} - 4} \log\left(-\frac{1}{4} \, {\left({\left(8674646 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)} + 295619989 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} + 295619989 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - {\left(8674646 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - 277588672 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)} + 3494605993 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} - 8 \, {\left({\left(17349292 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 338311194 \, \sqrt{2} + 365017157\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} - 591239978 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 11529179571 \, \sqrt{2} + 10589485729\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 78 \, \sqrt{2} + 649} + 3494605993 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)} - 4975202382104 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} - 24\right)} + 4 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 78 \, \sqrt{2} + 649} - \frac{39}{2} \, \sqrt{2} - 4} + 14527409494457 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8} \log\left(\frac{1}{2} \, {\left({\left(17349292 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 338311194 \, \sqrt{2} + 365017157\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} + 8674646 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{3} - {\left(8674646 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - 555177344 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 10825958208 \, \sqrt{2} + 1273896617\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} - 277588672 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - 83415395936 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 1626600220752 \, \sqrt{2} + 525327569940\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8} + 14527409494457 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8} \log\left(-\frac{1}{2} \, {\left({\left(17349292 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 338311194 \, \sqrt{2} + 365017157\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)}^{2} + 8674646 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{3} - {\left(8674646 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - 555177344 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 10825958208 \, \sqrt{2} + 1273896617\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8\right)} - 277588672 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - 83415395936 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 1626600220752 \, \sqrt{2} + 525327569940\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 39 \, \sqrt{2} - 8} + 14527409494457 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 32 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + \frac{39}{1024} \, \sqrt{2} - \frac{1}{128}} \log\left(16 \, {\left(8674646 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{3} - 573208661 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - 90404607922 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 1762889854479 \, \sqrt{2} + 6762703827012\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + \frac{39}{1024} \, \sqrt{2} - \frac{1}{128}} + 14527409494457 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 32 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + \frac{39}{1024} \, \sqrt{2} - \frac{1}{128}} \log\left(-16 \, {\left(8674646 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{3} - 573208661 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} - 39 \, \sqrt{2} + 8\right)}^{2} - 90404607922 \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + 1762889854479 \, \sqrt{2} + 6762703827012\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{1345 \, \sqrt{2} - 223} + \frac{39}{1024} \, \sqrt{2} - \frac{1}{128}} + 14527409494457 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10} \log\left(\frac{1}{4} \, {\left(9 \, {\left(1937306 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 39714773 \, \sqrt{2} + 63061452\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + 8717877 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{3} - {\left(8717877 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} + 697430160 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 14297318280 \, \sqrt{2} + 35153973706\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} + 348715080 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - 118005183072 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 2419106252976 \, \sqrt{2} - 1341872612008\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10} + 8529857499113 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10} \log\left(-\frac{1}{4} \, {\left(9 \, {\left(1937306 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 39714773 \, \sqrt{2} + 63061452\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + 8717877 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{3} - {\left(8717877 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} + 697430160 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 14297318280 \, \sqrt{2} + 35153973706\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} + 348715080 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - 118005183072 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 2419106252976 \, \sqrt{2} - 1341872612008\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10} + 8529857499113 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 32 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{41}{1024} \, \sqrt{2} + \frac{5}{512}} \log\left(8 \, {\left(8717877 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{3} - 306016758 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - 195287432084 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 4003392357722 \, \sqrt{2} + 8801481053756\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{41}{1024} \, \sqrt{2} + \frac{5}{512}} + 8529857499113 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 32 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{41}{1024} \, \sqrt{2} + \frac{5}{512}} \log\left(-8 \, {\left(8717877 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{3} - 306016758 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - 195287432084 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 4003392357722 \, \sqrt{2} + 8801481053756\right)} \sqrt{-\frac{1}{512} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{41}{1024} \, \sqrt{2} + \frac{5}{512}} + 8529857499113 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{41}{4} \, \sqrt{2} + 8 \, \sqrt{-\frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{2048} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} + 30\right)} - \frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{128} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{205}{256} \, \sqrt{2} + \frac{921}{128}} + \frac{5}{2}} \log\left(\frac{1}{4} \, {\left(9 \, {\left(1937306 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 39714773 \, \sqrt{2} + 63061452\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} - {\left(8717877 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} + 697430160 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 14297318280 \, \sqrt{2} + 35153973706\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} + 654731838 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} + 64 \, {\left(9 \, {\left(1937306 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 39714773 \, \sqrt{2} + 63061452\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} - 1309463676 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 26844005358 \, \sqrt{2} + 18999169366\right)} \sqrt{-\frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{2048} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} + 30\right)} - \frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{128} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{205}{256} \, \sqrt{2} + \frac{921}{128}} + 77282249012 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 1584286104746 \, \sqrt{2} - 4886990310052\right)} \sqrt{-\frac{41}{4} \, \sqrt{2} + 8 \, \sqrt{-\frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{2048} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} + 30\right)} - \frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{128} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{205}{256} \, \sqrt{2} + \frac{921}{128}} + \frac{5}{2}} + 8529857499113 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{41}{4} \, \sqrt{2} + 8 \, \sqrt{-\frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{2048} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} + 30\right)} - \frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{128} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{205}{256} \, \sqrt{2} + \frac{921}{128}} + \frac{5}{2}} \log\left(-\frac{1}{4} \, {\left(9 \, {\left(1937306 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 39714773 \, \sqrt{2} + 63061452\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} - {\left(8717877 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} + 697430160 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 14297318280 \, \sqrt{2} + 35153973706\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} + 654731838 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} + 64 \, {\left(9 \, {\left(1937306 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 39714773 \, \sqrt{2} + 63061452\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} - 1309463676 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 26844005358 \, \sqrt{2} + 18999169366\right)} \sqrt{-\frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{2048} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} + 30\right)} - \frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{128} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{205}{256} \, \sqrt{2} + \frac{921}{128}} + 77282249012 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 1584286104746 \, \sqrt{2} - 4886990310052\right)} \sqrt{-\frac{41}{4} \, \sqrt{2} + 8 \, \sqrt{-\frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{2048} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} + 30\right)} - \frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{128} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{205}{256} \, \sqrt{2} + \frac{921}{128}} + \frac{5}{2}} + 8529857499113 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{41}{4} \, \sqrt{2} - 8 \, \sqrt{-\frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{2048} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} + 30\right)} - \frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{128} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{205}{256} \, \sqrt{2} + \frac{921}{128}} + \frac{5}{2}} \log\left(\frac{1}{4} \, {\left(9 \, {\left(1937306 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 39714773 \, \sqrt{2} + 63061452\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} - {\left(8717877 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} + 697430160 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 14297318280 \, \sqrt{2} + 35153973706\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} + 654731838 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - 64 \, {\left(9 \, {\left(1937306 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 39714773 \, \sqrt{2} + 63061452\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} - 1309463676 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 26844005358 \, \sqrt{2} + 18999169366\right)} \sqrt{-\frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{2048} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} + 30\right)} - \frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{128} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{205}{256} \, \sqrt{2} + \frac{921}{128}} + 77282249012 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 1584286104746 \, \sqrt{2} - 4886990310052\right)} \sqrt{-\frac{41}{4} \, \sqrt{2} - 8 \, \sqrt{-\frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{2048} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} + 30\right)} - \frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{128} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{205}{256} \, \sqrt{2} + \frac{921}{128}} + \frac{5}{2}} + 8529857499113 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 2 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{41}{4} \, \sqrt{2} - 8 \, \sqrt{-\frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{2048} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} + 30\right)} - \frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{128} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{205}{256} \, \sqrt{2} + \frac{921}{128}} + \frac{5}{2}} \log\left(-\frac{1}{4} \, {\left(9 \, {\left(1937306 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 39714773 \, \sqrt{2} + 63061452\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} - {\left(8717877 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} + 697430160 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 14297318280 \, \sqrt{2} + 35153973706\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} + 654731838 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - 64 \, {\left(9 \, {\left(1937306 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 39714773 \, \sqrt{2} + 63061452\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} - 1309463676 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 26844005358 \, \sqrt{2} + 18999169366\right)} \sqrt{-\frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{2048} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} + 30\right)} - \frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{128} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{205}{256} \, \sqrt{2} + \frac{921}{128}} + 77282249012 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 1584286104746 \, \sqrt{2} - 4886990310052\right)} \sqrt{-\frac{41}{4} \, \sqrt{2} - 8 \, \sqrt{-\frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)}^{2} + \frac{1}{2048} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + 41 \, \sqrt{2} + 10\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} + 30\right)} - \frac{3}{4096} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} - 41 \, \sqrt{2} - 10\right)}^{2} - \frac{5}{128} \, \sqrt{\frac{1}{2}} \sqrt{1249 \, \sqrt{2} + 161} + \frac{205}{256} \, \sqrt{2} + \frac{921}{128}} + \frac{5}{2}} + 8529857499113 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 16 \, {\left(x^{2} - \sqrt{x^{2} + 1} x\right)} \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{32 \, {\left(x^{2} - 1\right)}}"," ",0,"-1/32*(sqrt(2)*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 78*sqrt(2) + 649) - 39/2*sqrt(2) - 4)*log(1/4*((8674646*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8) + 295619989*sqrt(2))*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 + 295619989*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - (8674646*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - 277588672*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8) + 3494605993*sqrt(2))*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8) + 8*((17349292*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 338311194*sqrt(2) + 365017157)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8) - 591239978*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 11529179571*sqrt(2) + 10589485729)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 78*sqrt(2) + 649) + 3494605993*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8) - 4975202382104*sqrt(2))*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 78*sqrt(2) + 649) - 39/2*sqrt(2) - 4) + 14527409494457*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(2)*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 78*sqrt(2) + 649) - 39/2*sqrt(2) - 4)*log(-1/4*((8674646*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8) + 295619989*sqrt(2))*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 + 295619989*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - (8674646*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - 277588672*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8) + 3494605993*sqrt(2))*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8) + 8*((17349292*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 338311194*sqrt(2) + 365017157)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8) - 591239978*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 11529179571*sqrt(2) + 10589485729)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 78*sqrt(2) + 649) + 3494605993*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8) - 4975202382104*sqrt(2))*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 78*sqrt(2) + 649) - 39/2*sqrt(2) - 4) + 14527409494457*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(2)*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 78*sqrt(2) + 649) - 39/2*sqrt(2) - 4)*log(1/4*((8674646*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8) + 295619989*sqrt(2))*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 + 295619989*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - (8674646*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - 277588672*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8) + 3494605993*sqrt(2))*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8) - 8*((17349292*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 338311194*sqrt(2) + 365017157)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8) - 591239978*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 11529179571*sqrt(2) + 10589485729)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 78*sqrt(2) + 649) + 3494605993*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8) - 4975202382104*sqrt(2))*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 78*sqrt(2) + 649) - 39/2*sqrt(2) - 4) + 14527409494457*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(2)*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 78*sqrt(2) + 649) - 39/2*sqrt(2) - 4)*log(-1/4*((8674646*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8) + 295619989*sqrt(2))*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 + 295619989*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - (8674646*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - 277588672*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8) + 3494605993*sqrt(2))*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8) - 8*((17349292*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 338311194*sqrt(2) + 365017157)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8) - 591239978*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 11529179571*sqrt(2) + 10589485729)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 78*sqrt(2) + 649) + 3494605993*sqrt(2)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8) - 4975202382104*sqrt(2))*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 - 3/32*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 + 1/16*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) - 24) + 4*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 78*sqrt(2) + 649) - 39/2*sqrt(2) - 4) + 14527409494457*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*log(1/2*((17349292*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 338311194*sqrt(2) + 365017157)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 + 8674646*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^3 - (8674646*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - 555177344*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 10825958208*sqrt(2) + 1273896617)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8) - 277588672*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - 83415395936*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 1626600220752*sqrt(2) + 525327569940)*sqrt(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8) + 14527409494457*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)*log(-1/2*((17349292*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 338311194*sqrt(2) + 365017157)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8)^2 + 8674646*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^3 - (8674646*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - 555177344*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 10825958208*sqrt(2) + 1273896617)*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8) - 277588672*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - 83415395936*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 1626600220752*sqrt(2) + 525327569940)*sqrt(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39*sqrt(2) - 8) + 14527409494457*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 32*(x^2 - 1)*sqrt(-1/512*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39/1024*sqrt(2) - 1/128)*log(16*(8674646*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^3 - 573208661*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - 90404607922*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 1762889854479*sqrt(2) + 6762703827012)*sqrt(-1/512*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39/1024*sqrt(2) - 1/128) + 14527409494457*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 32*(x^2 - 1)*sqrt(-1/512*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39/1024*sqrt(2) - 1/128)*log(-16*(8674646*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^3 - 573208661*(2*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) - 39*sqrt(2) + 8)^2 - 90404607922*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 1762889854479*sqrt(2) + 6762703827012)*sqrt(-1/512*sqrt(1/2)*sqrt(1345*sqrt(2) - 223) + 39/1024*sqrt(2) - 1/128) + 14527409494457*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*log(1/4*(9*(1937306*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 39714773*sqrt(2) + 63061452)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 8717877*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^3 - (8717877*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 + 697430160*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 14297318280*sqrt(2) + 35153973706)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10) + 348715080*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 118005183072*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 2419106252976*sqrt(2) - 1341872612008)*sqrt(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10) + 8529857499113*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - (x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*log(-1/4*(9*(1937306*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 39714773*sqrt(2) + 63061452)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 8717877*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^3 - (8717877*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 + 697430160*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 14297318280*sqrt(2) + 35153973706)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10) + 348715080*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 118005183072*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 2419106252976*sqrt(2) - 1341872612008)*sqrt(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10) + 8529857499113*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 32*(x^2 - 1)*sqrt(-1/512*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41/1024*sqrt(2) + 5/512)*log(8*(8717877*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^3 - 306016758*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 195287432084*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 4003392357722*sqrt(2) + 8801481053756)*sqrt(-1/512*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41/1024*sqrt(2) + 5/512) + 8529857499113*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 32*(x^2 - 1)*sqrt(-1/512*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41/1024*sqrt(2) + 5/512)*log(-8*(8717877*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^3 - 306016758*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 195287432084*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 4003392357722*sqrt(2) + 8801481053756)*sqrt(-1/512*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41/1024*sqrt(2) + 5/512) + 8529857499113*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-41/4*sqrt(2) + 8*sqrt(-3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 1/2048*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) + 30) - 3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 5/128*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 205/256*sqrt(2) + 921/128) + 5/2)*log(1/4*(9*(1937306*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 39714773*sqrt(2) + 63061452)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 - (8717877*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 + 697430160*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 14297318280*sqrt(2) + 35153973706)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10) + 654731838*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 + 64*(9*(1937306*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 39714773*sqrt(2) + 63061452)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10) - 1309463676*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 26844005358*sqrt(2) + 18999169366)*sqrt(-3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 1/2048*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) + 30) - 3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 5/128*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 205/256*sqrt(2) + 921/128) + 77282249012*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 1584286104746*sqrt(2) - 4886990310052)*sqrt(-41/4*sqrt(2) + 8*sqrt(-3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 1/2048*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) + 30) - 3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 5/128*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 205/256*sqrt(2) + 921/128) + 5/2) + 8529857499113*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-41/4*sqrt(2) + 8*sqrt(-3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 1/2048*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) + 30) - 3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 5/128*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 205/256*sqrt(2) + 921/128) + 5/2)*log(-1/4*(9*(1937306*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 39714773*sqrt(2) + 63061452)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 - (8717877*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 + 697430160*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 14297318280*sqrt(2) + 35153973706)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10) + 654731838*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 + 64*(9*(1937306*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 39714773*sqrt(2) + 63061452)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10) - 1309463676*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 26844005358*sqrt(2) + 18999169366)*sqrt(-3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 1/2048*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) + 30) - 3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 5/128*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 205/256*sqrt(2) + 921/128) + 77282249012*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 1584286104746*sqrt(2) - 4886990310052)*sqrt(-41/4*sqrt(2) + 8*sqrt(-3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 1/2048*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) + 30) - 3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 5/128*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 205/256*sqrt(2) + 921/128) + 5/2) + 8529857499113*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 2*(x^2 - 1)*sqrt(-41/4*sqrt(2) - 8*sqrt(-3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 1/2048*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) + 30) - 3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 5/128*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 205/256*sqrt(2) + 921/128) + 5/2)*log(1/4*(9*(1937306*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 39714773*sqrt(2) + 63061452)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 - (8717877*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 + 697430160*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 14297318280*sqrt(2) + 35153973706)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10) + 654731838*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 64*(9*(1937306*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 39714773*sqrt(2) + 63061452)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10) - 1309463676*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 26844005358*sqrt(2) + 18999169366)*sqrt(-3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 1/2048*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) + 30) - 3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 5/128*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 205/256*sqrt(2) + 921/128) + 77282249012*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 1584286104746*sqrt(2) - 4886990310052)*sqrt(-41/4*sqrt(2) - 8*sqrt(-3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 1/2048*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) + 30) - 3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 5/128*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 205/256*sqrt(2) + 921/128) + 5/2) + 8529857499113*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 2*(x^2 - 1)*sqrt(-41/4*sqrt(2) - 8*sqrt(-3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 1/2048*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) + 30) - 3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 5/128*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 205/256*sqrt(2) + 921/128) + 5/2)*log(-1/4*(9*(1937306*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 39714773*sqrt(2) + 63061452)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 - (8717877*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 + 697430160*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 14297318280*sqrt(2) + 35153973706)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10) + 654731838*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 64*(9*(1937306*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 39714773*sqrt(2) + 63061452)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10) - 1309463676*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 26844005358*sqrt(2) + 18999169366)*sqrt(-3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 1/2048*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) + 30) - 3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 5/128*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 205/256*sqrt(2) + 921/128) + 77282249012*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 1584286104746*sqrt(2) - 4886990310052)*sqrt(-41/4*sqrt(2) - 8*sqrt(-3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)^2 + 1/2048*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 41*sqrt(2) + 10)*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) + 30) - 3/4096*(2*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) - 41*sqrt(2) - 10)^2 - 5/128*sqrt(1/2)*sqrt(1249*sqrt(2) + 161) + 205/256*sqrt(2) + 921/128) + 5/2) + 8529857499113*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 16*(x^2 - sqrt(x^2 + 1)*x)*sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 - 1)","B",0
3008,-1,0,0,0.000000," ","integrate((a-2*b+x)*(a^2-2*a*x+x^2)/((-a+x)*(-b+x))^(1/3)/(-b^2+a^4*d+2*(-2*a^3*d+b)*x+(6*a^2*d-1)*x^2-4*a*d*x^3+d*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3009,1,7234,0,2.282875," ","integrate((x^4+1)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^4+1)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{1}{24} \, {\left({\left(16 \, x^{2} - \sqrt{x^{2} + 1} {\left(16 \, x + 3\right)} + 3 \, x - 8\right)} \sqrt{x + \sqrt{x^{2} + 1}} - 2 \, x + 2 \, \sqrt{x^{2} + 1} - 16\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1} \log\left({\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{3} + {\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{2} + 4 \, \sqrt{\sqrt{2} + 1} - 11\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} - 4 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 1\right)} \sqrt{\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1} \log\left(-{\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{3} + {\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{2} + 4 \, \sqrt{\sqrt{2} + 1} - 11\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} - 4 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 1\right)} \sqrt{\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1} \log\left({\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{3} - 6 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} + 7 \, \sqrt{2} - 7 \, \sqrt{\sqrt{2} + 1} + 8\right)} \sqrt{\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1} \log\left(-{\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{3} - 6 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} + 7 \, \sqrt{2} - 7 \, \sqrt{\sqrt{2} + 1} + 8\right)} \sqrt{\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1} \log\left({\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{3} + {\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 17\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} + 12 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 19\right)} \sqrt{\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1} \log\left(-{\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{3} + {\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 17\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} + 12 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 19\right)} \sqrt{\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1} \log\left({\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{3} + 14 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 17 \, \sqrt{2} - 17 \, \sqrt{\sqrt{2} - 1} - 34\right)} \sqrt{\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1} \log\left(-{\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{3} + 14 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 17 \, \sqrt{2} - 17 \, \sqrt{\sqrt{2} - 1} - 34\right)} \sqrt{\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} \log\left({\left(4 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} + 2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} - {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 4 i \, \sqrt{2} - 4 \, \sqrt{4 i \, \sqrt{2} - 2} - 6\right)} \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(-{\left(4 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} + 2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} - {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 4 i \, \sqrt{2} - 4 \, \sqrt{4 i \, \sqrt{2} - 2} - 6\right)} \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} \log\left({\left(4 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} + 2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 i \, \sqrt{2} - 3 \, \sqrt{4 i \, \sqrt{2} - 2} - 10\right)} \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} \log\left(-{\left(4 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} + 2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 i \, \sqrt{2} - 3 \, \sqrt{4 i \, \sqrt{2} - 2} - 10\right)} \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} \log\left(\frac{1}{2} \, {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + {\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{2} + 4 \, \sqrt{\sqrt{2} + 1} - 11\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} + 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} + 4 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + 2 \, \sqrt{2} - 2 \, \sqrt{\sqrt{2} + 1} + 1\right)} - 7 \, \sqrt{2} + 7 \, \sqrt{\sqrt{2} + 1} - 9\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} \log\left(-\frac{1}{2} \, {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + {\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{2} + 4 \, \sqrt{\sqrt{2} + 1} - 11\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} + 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} + 4 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + 2 \, \sqrt{2} - 2 \, \sqrt{\sqrt{2} + 1} + 1\right)} - 7 \, \sqrt{2} + 7 \, \sqrt{\sqrt{2} + 1} - 9\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} \log\left(\frac{1}{2} \, {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + {\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{2} + 4 \, \sqrt{\sqrt{2} + 1} - 11\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} + 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + 2 \, \sqrt{2} - 2 \, \sqrt{\sqrt{2} + 1} + 1\right)} - 7 \, \sqrt{2} + 7 \, \sqrt{\sqrt{2} + 1} - 9\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} \log\left(-\frac{1}{2} \, {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + {\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{2} + 4 \, \sqrt{\sqrt{2} + 1} - 11\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} + 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + 2 \, \sqrt{2} - 2 \, \sqrt{\sqrt{2} + 1} + 1\right)} - 7 \, \sqrt{2} + 7 \, \sqrt{\sqrt{2} + 1} - 9\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} \log\left(\frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + {\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 17\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 4 \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, \sqrt{2} + 2 \, \sqrt{\sqrt{2} - 1} - 1\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 5 \, \sqrt{2} + 5 \, \sqrt{\sqrt{2} - 1} + 15\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} \log\left(-\frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + {\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 17\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 4 \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, \sqrt{2} + 2 \, \sqrt{\sqrt{2} - 1} - 1\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 5 \, \sqrt{2} + 5 \, \sqrt{\sqrt{2} - 1} + 15\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} \log\left(\frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + {\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 17\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - 4 \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, \sqrt{2} + 2 \, \sqrt{\sqrt{2} - 1} - 1\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 5 \, \sqrt{2} + 5 \, \sqrt{\sqrt{2} - 1} + 15\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} \log\left(-\frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + {\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 17\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - 4 \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, \sqrt{2} + 2 \, \sqrt{\sqrt{2} - 1} - 1\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 5 \, \sqrt{2} + 5 \, \sqrt{\sqrt{2} - 1} + 15\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(\frac{1}{2} \, {\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} - 2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 2\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(-\frac{1}{2} \, {\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} - 2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 2\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(\frac{1}{2} \, {\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} - 2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} + \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 2\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(-\frac{1}{2} \, {\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} - 2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} + \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 2\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{16} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) - \frac{1}{16} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right)"," ",0,"1/24*((16*x^2 - sqrt(x^2 + 1)*(16*x + 3) + 3*x - 8)*sqrt(x + sqrt(x^2 + 1)) - 2*x + 2*sqrt(x^2 + 1) - 16)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1/2*sqrt(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*log(((sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + (sqrt(2) - sqrt(sqrt(2) + 1) + 1)^3 + ((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(2) + 4*sqrt(sqrt(2) + 1) - 11)*(sqrt(2) + sqrt(sqrt(2) + 1) + 1) - 4*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1)*sqrt(sqrt(2) + sqrt(sqrt(2) + 1) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*log(-((sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + (sqrt(2) - sqrt(sqrt(2) + 1) + 1)^3 + ((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(2) + 4*sqrt(sqrt(2) + 1) - 11)*(sqrt(2) + sqrt(sqrt(2) + 1) + 1) - 4*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1)*sqrt(sqrt(2) + sqrt(sqrt(2) + 1) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) - sqrt(sqrt(2) + 1) + 1)*log(((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^3 - 6*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 + 7*sqrt(2) - 7*sqrt(sqrt(2) + 1) + 8)*sqrt(sqrt(2) - sqrt(sqrt(2) + 1) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) - sqrt(sqrt(2) + 1) + 1)*log(-((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^3 - 6*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 + 7*sqrt(2) - 7*sqrt(sqrt(2) + 1) + 8)*sqrt(sqrt(2) - sqrt(sqrt(2) + 1) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*log(((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 + 3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^3 + (3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 17)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) + 12*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 19)*sqrt(sqrt(2) + sqrt(sqrt(2) - 1) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*log(-((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 + 3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^3 + (3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 17)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) + 12*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 19)*sqrt(sqrt(2) + sqrt(sqrt(2) - 1) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) - sqrt(sqrt(2) - 1) - 1)*log((3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^3 + 14*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 17*sqrt(2) - 17*sqrt(sqrt(2) - 1) - 34)*sqrt(sqrt(2) - sqrt(sqrt(2) - 1) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) - sqrt(sqrt(2) - 1) - 1)*log(-(3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^3 + 14*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 17*sqrt(2) - 17*sqrt(sqrt(2) - 1) - 34)*sqrt(sqrt(2) - sqrt(sqrt(2) - 1) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))*log((4*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 + 2*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1) - (2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 4*I*sqrt(2) - 4*sqrt(4*I*sqrt(2) - 2) - 6)*sqrt(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))*log(-(4*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 + 2*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1) - (2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 4*I*sqrt(2) - 4*sqrt(4*I*sqrt(2) - 2) - 6)*sqrt(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))*log((4*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 + 2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*I*sqrt(2) - 3*sqrt(4*I*sqrt(2) - 2) - 10)*sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))*log(-(4*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 + 2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*I*sqrt(2) - 3*sqrt(4*I*sqrt(2) - 2) - 10)*sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1)*log(1/2*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + ((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(2) + 4*sqrt(sqrt(2) + 1) - 11)*(sqrt(2) + sqrt(sqrt(2) + 1) + 1) + 2*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 + 4*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2)*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + 2*sqrt(2) - 2*sqrt(sqrt(2) + 1) + 1) - 7*sqrt(2) + 7*sqrt(sqrt(2) + 1) - 9)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1)*log(-1/2*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + ((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(2) + 4*sqrt(sqrt(2) + 1) - 11)*(sqrt(2) + sqrt(sqrt(2) + 1) + 1) + 2*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 + 4*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2)*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + 2*sqrt(2) - 2*sqrt(sqrt(2) + 1) + 1) - 7*sqrt(2) + 7*sqrt(sqrt(2) + 1) - 9)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1)*log(1/2*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + ((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(2) + 4*sqrt(sqrt(2) + 1) - 11)*(sqrt(2) + sqrt(sqrt(2) + 1) + 1) + 2*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2)*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + 2*sqrt(2) - 2*sqrt(sqrt(2) + 1) + 1) - 7*sqrt(2) + 7*sqrt(sqrt(2) + 1) - 9)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1)*log(-1/2*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + ((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(2) + 4*sqrt(sqrt(2) + 1) - 11)*(sqrt(2) + sqrt(sqrt(2) + 1) + 1) + 2*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2)*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + 2*sqrt(2) - 2*sqrt(sqrt(2) + 1) + 1) - 7*sqrt(2) + 7*sqrt(sqrt(2) + 1) - 9)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1)*log(1/2*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 + (3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 17)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 4*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*sqrt(2) + 2*sqrt(sqrt(2) - 1) - 1)*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 5*sqrt(2) + 5*sqrt(sqrt(2) - 1) + 15)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1)*log(-1/2*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 + (3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 17)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 4*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*sqrt(2) + 2*sqrt(sqrt(2) - 1) - 1)*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 5*sqrt(2) + 5*sqrt(sqrt(2) - 1) + 15)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1)*log(1/2*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 + (3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 17)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 4*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*sqrt(2) + 2*sqrt(sqrt(2) - 1) - 1)*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 5*sqrt(2) + 5*sqrt(sqrt(2) - 1) + 15)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1)*log(-1/2*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 + (3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 17)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 4*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*sqrt(2) + 2*sqrt(sqrt(2) - 1) - 1)*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 5*sqrt(2) + 5*sqrt(sqrt(2) - 1) + 15)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(1/2*(2*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1) - 2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - (2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8)*((-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 2) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 4)*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(-1/2*(2*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1) - 2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - (2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8)*((-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 2) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 4)*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(1/2*(2*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1) - 2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - (2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) + sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8)*((-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 2) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 4)*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(-1/2*(2*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1) - 2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - (2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) + sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8)*((-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 2) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 4)*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/16*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) - 1/16*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1)","B",0
3010,1,7234,0,2.455116," ","integrate((x^4+1)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^4+1)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{1}{24} \, {\left({\left(16 \, x^{2} - \sqrt{x^{2} + 1} {\left(16 \, x + 3\right)} + 3 \, x - 8\right)} \sqrt{x + \sqrt{x^{2} + 1}} - 2 \, x + 2 \, \sqrt{x^{2} + 1} - 16\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1} \log\left({\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{3} + {\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{2} + 4 \, \sqrt{\sqrt{2} + 1} - 11\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} - 4 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 1\right)} \sqrt{\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1} \log\left(-{\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{3} + {\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{2} + 4 \, \sqrt{\sqrt{2} + 1} - 11\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} - 4 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 1\right)} \sqrt{\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1} \log\left({\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{3} - 6 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} + 7 \, \sqrt{2} - 7 \, \sqrt{\sqrt{2} + 1} + 8\right)} \sqrt{\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1} \log\left(-{\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{3} - 6 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} + 7 \, \sqrt{2} - 7 \, \sqrt{\sqrt{2} + 1} + 8\right)} \sqrt{\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1} \log\left({\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{3} + {\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 17\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} + 12 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 19\right)} \sqrt{\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1} \log\left(-{\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{3} + {\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 17\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} + 12 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 19\right)} \sqrt{\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1} \log\left({\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{3} + 14 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 17 \, \sqrt{2} - 17 \, \sqrt{\sqrt{2} - 1} - 34\right)} \sqrt{\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1} \log\left(-{\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{3} + 14 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 17 \, \sqrt{2} - 17 \, \sqrt{\sqrt{2} - 1} - 34\right)} \sqrt{\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} \log\left({\left(4 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} + 2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} - {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 4 i \, \sqrt{2} - 4 \, \sqrt{4 i \, \sqrt{2} - 2} - 6\right)} \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(-{\left(4 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} + 2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} - {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 4 i \, \sqrt{2} - 4 \, \sqrt{4 i \, \sqrt{2} - 2} - 6\right)} \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} \log\left({\left(4 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} + 2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 i \, \sqrt{2} - 3 \, \sqrt{4 i \, \sqrt{2} - 2} - 10\right)} \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} \log\left(-{\left(4 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} + 2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 i \, \sqrt{2} - 3 \, \sqrt{4 i \, \sqrt{2} - 2} - 10\right)} \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} \log\left(\frac{1}{2} \, {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + {\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{2} + 4 \, \sqrt{\sqrt{2} + 1} - 11\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} + 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} + 4 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + 2 \, \sqrt{2} - 2 \, \sqrt{\sqrt{2} + 1} + 1\right)} - 7 \, \sqrt{2} + 7 \, \sqrt{\sqrt{2} + 1} - 9\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} \log\left(-\frac{1}{2} \, {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + {\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{2} + 4 \, \sqrt{\sqrt{2} + 1} - 11\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} + 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} + 4 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + 2 \, \sqrt{2} - 2 \, \sqrt{\sqrt{2} + 1} + 1\right)} - 7 \, \sqrt{2} + 7 \, \sqrt{\sqrt{2} + 1} - 9\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} \log\left(\frac{1}{2} \, {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + {\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{2} + 4 \, \sqrt{\sqrt{2} + 1} - 11\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} + 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + 2 \, \sqrt{2} - 2 \, \sqrt{\sqrt{2} + 1} + 1\right)} - 7 \, \sqrt{2} + 7 \, \sqrt{\sqrt{2} + 1} - 9\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} \log\left(-\frac{1}{2} \, {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + {\left({\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{2} + 4 \, \sqrt{\sqrt{2} + 1} - 11\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} + 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - 4 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} {\left({\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 3\right)} + 2 \, \sqrt{2} - 2 \, \sqrt{\sqrt{2} + 1} + 1\right)} - 7 \, \sqrt{2} + 7 \, \sqrt{\sqrt{2} + 1} - 9\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} + 1} + 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} + 1} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{\sqrt{2} + 1} + \frac{3}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} \log\left(\frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + {\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 17\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 4 \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, \sqrt{2} + 2 \, \sqrt{\sqrt{2} - 1} - 1\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 5 \, \sqrt{2} + 5 \, \sqrt{\sqrt{2} - 1} + 15\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} \log\left(-\frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + {\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 17\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 4 \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, \sqrt{2} + 2 \, \sqrt{\sqrt{2} - 1} - 1\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 5 \, \sqrt{2} + 5 \, \sqrt{\sqrt{2} - 1} + 15\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} \log\left(\frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + {\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 17\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - 4 \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, \sqrt{2} + 2 \, \sqrt{\sqrt{2} - 1} - 1\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 5 \, \sqrt{2} + 5 \, \sqrt{\sqrt{2} - 1} + 15\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} \log\left(-\frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + {\left(3 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} + 12 \, \sqrt{2} - 12 \, \sqrt{\sqrt{2} - 1} - 17\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - 4 \, {\left({\left(3 \, \sqrt{2} - 3 \, \sqrt{\sqrt{2} - 1} - 5\right)} {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} - 2 \, \sqrt{2} + 2 \, \sqrt{\sqrt{2} - 1} - 1\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 5 \, \sqrt{2} + 5 \, \sqrt{\sqrt{2} - 1} + 15\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{\sqrt{2} - 1} - 1\right)} {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{\sqrt{2} - 1} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{\sqrt{2} - 1} + \frac{1}{2}} - 1} + 13 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(\frac{1}{2} \, {\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} - 2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 2\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(-\frac{1}{2} \, {\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} - 2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 2\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(\frac{1}{2} \, {\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} - 2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} + \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 2\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(-\frac{1}{2} \, {\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} - 2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} + \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(-i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} - 1\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 2\right)} - i \, \sqrt{2} - \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{16} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) - \frac{1}{16} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right)"," ",0,"1/24*((16*x^2 - sqrt(x^2 + 1)*(16*x + 3) + 3*x - 8)*sqrt(x + sqrt(x^2 + 1)) - 2*x + 2*sqrt(x^2 + 1) - 16)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1/2*sqrt(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*log(((sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + (sqrt(2) - sqrt(sqrt(2) + 1) + 1)^3 + ((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(2) + 4*sqrt(sqrt(2) + 1) - 11)*(sqrt(2) + sqrt(sqrt(2) + 1) + 1) - 4*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1)*sqrt(sqrt(2) + sqrt(sqrt(2) + 1) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*log(-((sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + (sqrt(2) - sqrt(sqrt(2) + 1) + 1)^3 + ((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(2) + 4*sqrt(sqrt(2) + 1) - 11)*(sqrt(2) + sqrt(sqrt(2) + 1) + 1) - 4*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1)*sqrt(sqrt(2) + sqrt(sqrt(2) + 1) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) - sqrt(sqrt(2) + 1) + 1)*log(((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^3 - 6*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 + 7*sqrt(2) - 7*sqrt(sqrt(2) + 1) + 8)*sqrt(sqrt(2) - sqrt(sqrt(2) + 1) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) - sqrt(sqrt(2) + 1) + 1)*log(-((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^3 - 6*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 + 7*sqrt(2) - 7*sqrt(sqrt(2) + 1) + 8)*sqrt(sqrt(2) - sqrt(sqrt(2) + 1) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*log(((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 + 3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^3 + (3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 17)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) + 12*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 19)*sqrt(sqrt(2) + sqrt(sqrt(2) - 1) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*log(-((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 + 3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^3 + (3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 17)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) + 12*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 19)*sqrt(sqrt(2) + sqrt(sqrt(2) - 1) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) - sqrt(sqrt(2) - 1) - 1)*log((3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^3 + 14*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 17*sqrt(2) - 17*sqrt(sqrt(2) - 1) - 34)*sqrt(sqrt(2) - sqrt(sqrt(2) - 1) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) - sqrt(sqrt(2) - 1) - 1)*log(-(3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^3 + 14*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 17*sqrt(2) - 17*sqrt(sqrt(2) - 1) - 34)*sqrt(sqrt(2) - sqrt(sqrt(2) - 1) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))*log((4*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 + 2*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1) - (2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 4*I*sqrt(2) - 4*sqrt(4*I*sqrt(2) - 2) - 6)*sqrt(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))*log(-(4*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 + 2*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1) - (2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 4*I*sqrt(2) - 4*sqrt(4*I*sqrt(2) - 2) - 6)*sqrt(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))*log((4*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 + 2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*I*sqrt(2) - 3*sqrt(4*I*sqrt(2) - 2) - 10)*sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))*log(-(4*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 + 2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*I*sqrt(2) - 3*sqrt(4*I*sqrt(2) - 2) - 10)*sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1)*log(1/2*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + ((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(2) + 4*sqrt(sqrt(2) + 1) - 11)*(sqrt(2) + sqrt(sqrt(2) + 1) + 1) + 2*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 + 4*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2)*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + 2*sqrt(2) - 2*sqrt(sqrt(2) + 1) + 1) - 7*sqrt(2) + 7*sqrt(sqrt(2) + 1) - 9)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1)*log(-1/2*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + ((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(2) + 4*sqrt(sqrt(2) + 1) - 11)*(sqrt(2) + sqrt(sqrt(2) + 1) + 1) + 2*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 + 4*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2)*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + 2*sqrt(2) - 2*sqrt(sqrt(2) + 1) + 1) - 7*sqrt(2) + 7*sqrt(sqrt(2) + 1) - 9)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1)*log(1/2*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + ((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(2) + 4*sqrt(sqrt(2) + 1) - 11)*(sqrt(2) + sqrt(sqrt(2) + 1) + 1) + 2*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2)*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + 2*sqrt(2) - 2*sqrt(sqrt(2) + 1) + 1) - 7*sqrt(2) + 7*sqrt(sqrt(2) + 1) - 9)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1)*log(-1/2*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + ((sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(2) + 4*sqrt(sqrt(2) + 1) - 11)*(sqrt(2) + sqrt(sqrt(2) + 1) + 1) + 2*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 4*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2)*((sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) + 3) + 2*sqrt(2) - 2*sqrt(sqrt(2) + 1) + 1) - 7*sqrt(2) + 7*sqrt(sqrt(2) + 1) - 9)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)^2 - 3/16*(sqrt(2) - sqrt(sqrt(2) + 1) + 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) + 1) + 1)*(sqrt(2) - sqrt(sqrt(2) + 1) - 3) + 1/2*sqrt(2) - 1/2*sqrt(sqrt(2) + 1) + 3/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1)*log(1/2*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 + (3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 17)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 4*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*sqrt(2) + 2*sqrt(sqrt(2) - 1) - 1)*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 5*sqrt(2) + 5*sqrt(sqrt(2) - 1) + 15)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1)*log(-1/2*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 + (3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 17)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 4*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*sqrt(2) + 2*sqrt(sqrt(2) - 1) - 1)*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 5*sqrt(2) + 5*sqrt(sqrt(2) - 1) + 15)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1)*log(1/2*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 + (3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 17)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 4*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*sqrt(2) + 2*sqrt(sqrt(2) - 1) - 1)*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 5*sqrt(2) + 5*sqrt(sqrt(2) - 1) + 15)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1)*log(-1/2*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 + (3*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 + 12*sqrt(2) - 12*sqrt(sqrt(2) - 1) - 17)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 4*((3*sqrt(2) - 3*sqrt(sqrt(2) - 1) - 5)*(sqrt(2) + sqrt(sqrt(2) - 1) - 1) - 2*sqrt(2) + 2*sqrt(sqrt(2) - 1) - 1)*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 5*sqrt(2) + 5*sqrt(sqrt(2) - 1) + 15)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)^2 - 1/8*(sqrt(2) + sqrt(sqrt(2) - 1) - 1)*(sqrt(2) - sqrt(sqrt(2) - 1) + 3) - 3/16*(sqrt(2) - sqrt(sqrt(2) - 1) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(sqrt(2) - 1) + 1/2) - 1) + 13*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(1/2*(2*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1) - 2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - (2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8)*((-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 2) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 4)*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(-1/2*(2*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1) - 2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - (2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8)*((-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 2) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 4)*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(1/2*(2*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1) - 2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - (2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) + sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8)*((-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 2) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 4)*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(-1/2*(2*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1) - 2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - (2*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) + sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8)*((-I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) - 1)*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 2) - I*sqrt(2) - sqrt(4*I*sqrt(2) - 2) + 4)*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/16*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) - 1/16*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1)","B",0
3011,1,2014,0,0.911027," ","integrate((a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)/(x-(a*x+b)^(1/2)),x, algorithm=""fricas"")","\sqrt{2} \sqrt{\frac{a^{5} + 5 \, a^{3} b + 5 \, a b^{2} + {\left(a^{4} + 4 \, a^{2} b + 2 \, b^{2}\right)} c + {\left(a^{2} + 4 \, b\right)} \sqrt{\frac{a^{8} + 6 \, a^{6} b + 11 \, a^{4} b^{2} + 6 \, a^{2} b^{3} + b^{4} + {\left(a^{6} + 4 \, a^{4} b + 4 \, a^{2} b^{2}\right)} c^{2} + 2 \, {\left(a^{7} + 5 \, a^{5} b + 7 \, a^{3} b^{2} + 2 \, a b^{3}\right)} c}{a^{2} + 4 \, b}}}{a^{2} + 4 \, b}} \log\left(8 \, \sqrt{2} {\left(a^{7} + 7 \, a^{5} b + 13 \, a^{3} b^{2} + 4 \, a b^{3} + {\left(a^{6} + 6 \, a^{4} b + 8 \, a^{2} b^{2}\right)} c - {\left(a^{4} + 6 \, a^{2} b + 8 \, b^{2}\right)} \sqrt{\frac{a^{8} + 6 \, a^{6} b + 11 \, a^{4} b^{2} + 6 \, a^{2} b^{3} + b^{4} + {\left(a^{6} + 4 \, a^{4} b + 4 \, a^{2} b^{2}\right)} c^{2} + 2 \, {\left(a^{7} + 5 \, a^{5} b + 7 \, a^{3} b^{2} + 2 \, a b^{3}\right)} c}{a^{2} + 4 \, b}}\right)} \sqrt{\frac{a^{5} + 5 \, a^{3} b + 5 \, a b^{2} + {\left(a^{4} + 4 \, a^{2} b + 2 \, b^{2}\right)} c + {\left(a^{2} + 4 \, b\right)} \sqrt{\frac{a^{8} + 6 \, a^{6} b + 11 \, a^{4} b^{2} + 6 \, a^{2} b^{3} + b^{4} + {\left(a^{6} + 4 \, a^{4} b + 4 \, a^{2} b^{2}\right)} c^{2} + 2 \, {\left(a^{7} + 5 \, a^{5} b + 7 \, a^{3} b^{2} + 2 \, a b^{3}\right)} c}{a^{2} + 4 \, b}}}{a^{2} + 4 \, b}} + 32 \, {\left(a^{4} b^{2} + 3 \, a^{2} b^{3} + b^{4} + {\left(a^{3} b^{2} + 2 \, a b^{3}\right)} c\right)} \sqrt{c + \sqrt{a x + b}}\right) - \sqrt{2} \sqrt{\frac{a^{5} + 5 \, a^{3} b + 5 \, a b^{2} + {\left(a^{4} + 4 \, a^{2} b + 2 \, b^{2}\right)} c + {\left(a^{2} + 4 \, b\right)} \sqrt{\frac{a^{8} + 6 \, a^{6} b + 11 \, a^{4} b^{2} + 6 \, a^{2} b^{3} + b^{4} + {\left(a^{6} + 4 \, a^{4} b + 4 \, a^{2} b^{2}\right)} c^{2} + 2 \, {\left(a^{7} + 5 \, a^{5} b + 7 \, a^{3} b^{2} + 2 \, a b^{3}\right)} c}{a^{2} + 4 \, b}}}{a^{2} + 4 \, b}} \log\left(-8 \, \sqrt{2} {\left(a^{7} + 7 \, a^{5} b + 13 \, a^{3} b^{2} + 4 \, a b^{3} + {\left(a^{6} + 6 \, a^{4} b + 8 \, a^{2} b^{2}\right)} c - {\left(a^{4} + 6 \, a^{2} b + 8 \, b^{2}\right)} \sqrt{\frac{a^{8} + 6 \, a^{6} b + 11 \, a^{4} b^{2} + 6 \, a^{2} b^{3} + b^{4} + {\left(a^{6} + 4 \, a^{4} b + 4 \, a^{2} b^{2}\right)} c^{2} + 2 \, {\left(a^{7} + 5 \, a^{5} b + 7 \, a^{3} b^{2} + 2 \, a b^{3}\right)} c}{a^{2} + 4 \, b}}\right)} \sqrt{\frac{a^{5} + 5 \, a^{3} b + 5 \, a b^{2} + {\left(a^{4} + 4 \, a^{2} b + 2 \, b^{2}\right)} c + {\left(a^{2} + 4 \, b\right)} \sqrt{\frac{a^{8} + 6 \, a^{6} b + 11 \, a^{4} b^{2} + 6 \, a^{2} b^{3} + b^{4} + {\left(a^{6} + 4 \, a^{4} b + 4 \, a^{2} b^{2}\right)} c^{2} + 2 \, {\left(a^{7} + 5 \, a^{5} b + 7 \, a^{3} b^{2} + 2 \, a b^{3}\right)} c}{a^{2} + 4 \, b}}}{a^{2} + 4 \, b}} + 32 \, {\left(a^{4} b^{2} + 3 \, a^{2} b^{3} + b^{4} + {\left(a^{3} b^{2} + 2 \, a b^{3}\right)} c\right)} \sqrt{c + \sqrt{a x + b}}\right) + \sqrt{2} \sqrt{\frac{a^{5} + 5 \, a^{3} b + 5 \, a b^{2} + {\left(a^{4} + 4 \, a^{2} b + 2 \, b^{2}\right)} c - {\left(a^{2} + 4 \, b\right)} \sqrt{\frac{a^{8} + 6 \, a^{6} b + 11 \, a^{4} b^{2} + 6 \, a^{2} b^{3} + b^{4} + {\left(a^{6} + 4 \, a^{4} b + 4 \, a^{2} b^{2}\right)} c^{2} + 2 \, {\left(a^{7} + 5 \, a^{5} b + 7 \, a^{3} b^{2} + 2 \, a b^{3}\right)} c}{a^{2} + 4 \, b}}}{a^{2} + 4 \, b}} \log\left(8 \, \sqrt{2} {\left(a^{7} + 7 \, a^{5} b + 13 \, a^{3} b^{2} + 4 \, a b^{3} + {\left(a^{6} + 6 \, a^{4} b + 8 \, a^{2} b^{2}\right)} c + {\left(a^{4} + 6 \, a^{2} b + 8 \, b^{2}\right)} \sqrt{\frac{a^{8} + 6 \, a^{6} b + 11 \, a^{4} b^{2} + 6 \, a^{2} b^{3} + b^{4} + {\left(a^{6} + 4 \, a^{4} b + 4 \, a^{2} b^{2}\right)} c^{2} + 2 \, {\left(a^{7} + 5 \, a^{5} b + 7 \, a^{3} b^{2} + 2 \, a b^{3}\right)} c}{a^{2} + 4 \, b}}\right)} \sqrt{\frac{a^{5} + 5 \, a^{3} b + 5 \, a b^{2} + {\left(a^{4} + 4 \, a^{2} b + 2 \, b^{2}\right)} c - {\left(a^{2} + 4 \, b\right)} \sqrt{\frac{a^{8} + 6 \, a^{6} b + 11 \, a^{4} b^{2} + 6 \, a^{2} b^{3} + b^{4} + {\left(a^{6} + 4 \, a^{4} b + 4 \, a^{2} b^{2}\right)} c^{2} + 2 \, {\left(a^{7} + 5 \, a^{5} b + 7 \, a^{3} b^{2} + 2 \, a b^{3}\right)} c}{a^{2} + 4 \, b}}}{a^{2} + 4 \, b}} + 32 \, {\left(a^{4} b^{2} + 3 \, a^{2} b^{3} + b^{4} + {\left(a^{3} b^{2} + 2 \, a b^{3}\right)} c\right)} \sqrt{c + \sqrt{a x + b}}\right) - \sqrt{2} \sqrt{\frac{a^{5} + 5 \, a^{3} b + 5 \, a b^{2} + {\left(a^{4} + 4 \, a^{2} b + 2 \, b^{2}\right)} c - {\left(a^{2} + 4 \, b\right)} \sqrt{\frac{a^{8} + 6 \, a^{6} b + 11 \, a^{4} b^{2} + 6 \, a^{2} b^{3} + b^{4} + {\left(a^{6} + 4 \, a^{4} b + 4 \, a^{2} b^{2}\right)} c^{2} + 2 \, {\left(a^{7} + 5 \, a^{5} b + 7 \, a^{3} b^{2} + 2 \, a b^{3}\right)} c}{a^{2} + 4 \, b}}}{a^{2} + 4 \, b}} \log\left(-8 \, \sqrt{2} {\left(a^{7} + 7 \, a^{5} b + 13 \, a^{3} b^{2} + 4 \, a b^{3} + {\left(a^{6} + 6 \, a^{4} b + 8 \, a^{2} b^{2}\right)} c + {\left(a^{4} + 6 \, a^{2} b + 8 \, b^{2}\right)} \sqrt{\frac{a^{8} + 6 \, a^{6} b + 11 \, a^{4} b^{2} + 6 \, a^{2} b^{3} + b^{4} + {\left(a^{6} + 4 \, a^{4} b + 4 \, a^{2} b^{2}\right)} c^{2} + 2 \, {\left(a^{7} + 5 \, a^{5} b + 7 \, a^{3} b^{2} + 2 \, a b^{3}\right)} c}{a^{2} + 4 \, b}}\right)} \sqrt{\frac{a^{5} + 5 \, a^{3} b + 5 \, a b^{2} + {\left(a^{4} + 4 \, a^{2} b + 2 \, b^{2}\right)} c - {\left(a^{2} + 4 \, b\right)} \sqrt{\frac{a^{8} + 6 \, a^{6} b + 11 \, a^{4} b^{2} + 6 \, a^{2} b^{3} + b^{4} + {\left(a^{6} + 4 \, a^{4} b + 4 \, a^{2} b^{2}\right)} c^{2} + 2 \, {\left(a^{7} + 5 \, a^{5} b + 7 \, a^{3} b^{2} + 2 \, a b^{3}\right)} c}{a^{2} + 4 \, b}}}{a^{2} + 4 \, b}} + 32 \, {\left(a^{4} b^{2} + 3 \, a^{2} b^{3} + b^{4} + {\left(a^{3} b^{2} + 2 \, a b^{3}\right)} c\right)} \sqrt{c + \sqrt{a x + b}}\right) + \frac{4}{3} \, {\left(3 \, a + c + \sqrt{a x + b}\right)} \sqrt{c + \sqrt{a x + b}}"," ",0,"sqrt(2)*sqrt((a^5 + 5*a^3*b + 5*a*b^2 + (a^4 + 4*a^2*b + 2*b^2)*c + (a^2 + 4*b)*sqrt((a^8 + 6*a^6*b + 11*a^4*b^2 + 6*a^2*b^3 + b^4 + (a^6 + 4*a^4*b + 4*a^2*b^2)*c^2 + 2*(a^7 + 5*a^5*b + 7*a^3*b^2 + 2*a*b^3)*c)/(a^2 + 4*b)))/(a^2 + 4*b))*log(8*sqrt(2)*(a^7 + 7*a^5*b + 13*a^3*b^2 + 4*a*b^3 + (a^6 + 6*a^4*b + 8*a^2*b^2)*c - (a^4 + 6*a^2*b + 8*b^2)*sqrt((a^8 + 6*a^6*b + 11*a^4*b^2 + 6*a^2*b^3 + b^4 + (a^6 + 4*a^4*b + 4*a^2*b^2)*c^2 + 2*(a^7 + 5*a^5*b + 7*a^3*b^2 + 2*a*b^3)*c)/(a^2 + 4*b)))*sqrt((a^5 + 5*a^3*b + 5*a*b^2 + (a^4 + 4*a^2*b + 2*b^2)*c + (a^2 + 4*b)*sqrt((a^8 + 6*a^6*b + 11*a^4*b^2 + 6*a^2*b^3 + b^4 + (a^6 + 4*a^4*b + 4*a^2*b^2)*c^2 + 2*(a^7 + 5*a^5*b + 7*a^3*b^2 + 2*a*b^3)*c)/(a^2 + 4*b)))/(a^2 + 4*b)) + 32*(a^4*b^2 + 3*a^2*b^3 + b^4 + (a^3*b^2 + 2*a*b^3)*c)*sqrt(c + sqrt(a*x + b))) - sqrt(2)*sqrt((a^5 + 5*a^3*b + 5*a*b^2 + (a^4 + 4*a^2*b + 2*b^2)*c + (a^2 + 4*b)*sqrt((a^8 + 6*a^6*b + 11*a^4*b^2 + 6*a^2*b^3 + b^4 + (a^6 + 4*a^4*b + 4*a^2*b^2)*c^2 + 2*(a^7 + 5*a^5*b + 7*a^3*b^2 + 2*a*b^3)*c)/(a^2 + 4*b)))/(a^2 + 4*b))*log(-8*sqrt(2)*(a^7 + 7*a^5*b + 13*a^3*b^2 + 4*a*b^3 + (a^6 + 6*a^4*b + 8*a^2*b^2)*c - (a^4 + 6*a^2*b + 8*b^2)*sqrt((a^8 + 6*a^6*b + 11*a^4*b^2 + 6*a^2*b^3 + b^4 + (a^6 + 4*a^4*b + 4*a^2*b^2)*c^2 + 2*(a^7 + 5*a^5*b + 7*a^3*b^2 + 2*a*b^3)*c)/(a^2 + 4*b)))*sqrt((a^5 + 5*a^3*b + 5*a*b^2 + (a^4 + 4*a^2*b + 2*b^2)*c + (a^2 + 4*b)*sqrt((a^8 + 6*a^6*b + 11*a^4*b^2 + 6*a^2*b^3 + b^4 + (a^6 + 4*a^4*b + 4*a^2*b^2)*c^2 + 2*(a^7 + 5*a^5*b + 7*a^3*b^2 + 2*a*b^3)*c)/(a^2 + 4*b)))/(a^2 + 4*b)) + 32*(a^4*b^2 + 3*a^2*b^3 + b^4 + (a^3*b^2 + 2*a*b^3)*c)*sqrt(c + sqrt(a*x + b))) + sqrt(2)*sqrt((a^5 + 5*a^3*b + 5*a*b^2 + (a^4 + 4*a^2*b + 2*b^2)*c - (a^2 + 4*b)*sqrt((a^8 + 6*a^6*b + 11*a^4*b^2 + 6*a^2*b^3 + b^4 + (a^6 + 4*a^4*b + 4*a^2*b^2)*c^2 + 2*(a^7 + 5*a^5*b + 7*a^3*b^2 + 2*a*b^3)*c)/(a^2 + 4*b)))/(a^2 + 4*b))*log(8*sqrt(2)*(a^7 + 7*a^5*b + 13*a^3*b^2 + 4*a*b^3 + (a^6 + 6*a^4*b + 8*a^2*b^2)*c + (a^4 + 6*a^2*b + 8*b^2)*sqrt((a^8 + 6*a^6*b + 11*a^4*b^2 + 6*a^2*b^3 + b^4 + (a^6 + 4*a^4*b + 4*a^2*b^2)*c^2 + 2*(a^7 + 5*a^5*b + 7*a^3*b^2 + 2*a*b^3)*c)/(a^2 + 4*b)))*sqrt((a^5 + 5*a^3*b + 5*a*b^2 + (a^4 + 4*a^2*b + 2*b^2)*c - (a^2 + 4*b)*sqrt((a^8 + 6*a^6*b + 11*a^4*b^2 + 6*a^2*b^3 + b^4 + (a^6 + 4*a^4*b + 4*a^2*b^2)*c^2 + 2*(a^7 + 5*a^5*b + 7*a^3*b^2 + 2*a*b^3)*c)/(a^2 + 4*b)))/(a^2 + 4*b)) + 32*(a^4*b^2 + 3*a^2*b^3 + b^4 + (a^3*b^2 + 2*a*b^3)*c)*sqrt(c + sqrt(a*x + b))) - sqrt(2)*sqrt((a^5 + 5*a^3*b + 5*a*b^2 + (a^4 + 4*a^2*b + 2*b^2)*c - (a^2 + 4*b)*sqrt((a^8 + 6*a^6*b + 11*a^4*b^2 + 6*a^2*b^3 + b^4 + (a^6 + 4*a^4*b + 4*a^2*b^2)*c^2 + 2*(a^7 + 5*a^5*b + 7*a^3*b^2 + 2*a*b^3)*c)/(a^2 + 4*b)))/(a^2 + 4*b))*log(-8*sqrt(2)*(a^7 + 7*a^5*b + 13*a^3*b^2 + 4*a*b^3 + (a^6 + 6*a^4*b + 8*a^2*b^2)*c + (a^4 + 6*a^2*b + 8*b^2)*sqrt((a^8 + 6*a^6*b + 11*a^4*b^2 + 6*a^2*b^3 + b^4 + (a^6 + 4*a^4*b + 4*a^2*b^2)*c^2 + 2*(a^7 + 5*a^5*b + 7*a^3*b^2 + 2*a*b^3)*c)/(a^2 + 4*b)))*sqrt((a^5 + 5*a^3*b + 5*a*b^2 + (a^4 + 4*a^2*b + 2*b^2)*c - (a^2 + 4*b)*sqrt((a^8 + 6*a^6*b + 11*a^4*b^2 + 6*a^2*b^3 + b^4 + (a^6 + 4*a^4*b + 4*a^2*b^2)*c^2 + 2*(a^7 + 5*a^5*b + 7*a^3*b^2 + 2*a*b^3)*c)/(a^2 + 4*b)))/(a^2 + 4*b)) + 32*(a^4*b^2 + 3*a^2*b^3 + b^4 + (a^3*b^2 + 2*a*b^3)*c)*sqrt(c + sqrt(a*x + b))) + 4/3*(3*a + c + sqrt(a*x + b))*sqrt(c + sqrt(a*x + b))","B",0
3012,1,4062,0,4.386009," ","integrate((1+x)/(-a*x+1)/((-b*x+1)/(c+x))^(1/4),x, algorithm=""fricas"")","-\frac{4 \, a b \left(-\frac{a^{4} b^{4} c^{4} + 256 \, {\left(a^{4} + 4 \, a^{3} + 6 \, a^{2} + 4 \, a + 1\right)} b^{4} + a^{4} + 256 \, {\left(a^{4} + 3 \, a^{3} + 3 \, a^{2} + a\right)} b^{3} + 4 \, {\left(a^{4} b^{3} + 4 \, {\left(a^{4} + a^{3}\right)} b^{4}\right)} c^{3} + 96 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{2} + 6 \, {\left(a^{4} b^{2} + 16 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{4} + 8 \, {\left(a^{4} + a^{3}\right)} b^{3}\right)} c^{2} + 16 \, {\left(a^{4} + a^{3}\right)} b + 4 \, {\left(a^{4} b + 64 \, {\left(a^{4} + 3 \, a^{3} + 3 \, a^{2} + a\right)} b^{4} + 48 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{3} + 12 \, {\left(a^{4} + a^{3}\right)} b^{2}\right)} c}{a^{8} b^{5}}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{{\left(a^{6} b^{6} c^{6} + 4096 \, {\left(a^{6} + 6 \, a^{5} + 15 \, a^{4} + 20 \, a^{3} + 15 \, a^{2} + 6 \, a + 1\right)} b^{6} + a^{6} + 6144 \, {\left(a^{6} + 5 \, a^{5} + 10 \, a^{4} + 10 \, a^{3} + 5 \, a^{2} + a\right)} b^{5} + 6 \, {\left(a^{6} b^{5} + 4 \, {\left(a^{6} + a^{5}\right)} b^{6}\right)} c^{5} + 3840 \, {\left(a^{6} + 4 \, a^{5} + 6 \, a^{4} + 4 \, a^{3} + a^{2}\right)} b^{4} + 15 \, {\left(a^{6} b^{4} + 16 \, {\left(a^{6} + 2 \, a^{5} + a^{4}\right)} b^{6} + 8 \, {\left(a^{6} + a^{5}\right)} b^{5}\right)} c^{4} + 1280 \, {\left(a^{6} + 3 \, a^{5} + 3 \, a^{4} + a^{3}\right)} b^{3} + 20 \, {\left(a^{6} b^{3} + 64 \, {\left(a^{6} + 3 \, a^{5} + 3 \, a^{4} + a^{3}\right)} b^{6} + 48 \, {\left(a^{6} + 2 \, a^{5} + a^{4}\right)} b^{5} + 12 \, {\left(a^{6} + a^{5}\right)} b^{4}\right)} c^{3} + 240 \, {\left(a^{6} + 2 \, a^{5} + a^{4}\right)} b^{2} + 15 \, {\left(a^{6} b^{2} + 256 \, {\left(a^{6} + 4 \, a^{5} + 6 \, a^{4} + 4 \, a^{3} + a^{2}\right)} b^{6} + 256 \, {\left(a^{6} + 3 \, a^{5} + 3 \, a^{4} + a^{3}\right)} b^{5} + 96 \, {\left(a^{6} + 2 \, a^{5} + a^{4}\right)} b^{4} + 16 \, {\left(a^{6} + a^{5}\right)} b^{3}\right)} c^{2} + 24 \, {\left(a^{6} + a^{5}\right)} b + 6 \, {\left(a^{6} b + 1024 \, {\left(a^{6} + 5 \, a^{5} + 10 \, a^{4} + 10 \, a^{3} + 5 \, a^{2} + a\right)} b^{6} + 1280 \, {\left(a^{6} + 4 \, a^{5} + 6 \, a^{4} + 4 \, a^{3} + a^{2}\right)} b^{5} + 640 \, {\left(a^{6} + 3 \, a^{5} + 3 \, a^{4} + a^{3}\right)} b^{4} + 160 \, {\left(a^{6} + 2 \, a^{5} + a^{4}\right)} b^{3} + 20 \, {\left(a^{6} + a^{5}\right)} b^{2}\right)} c\right)} \sqrt{-\frac{b x - 1}{c + x}} - {\left(a^{8} b^{7} c^{4} + a^{8} b^{3} + 256 \, {\left(a^{8} + 4 \, a^{7} + 6 \, a^{6} + 4 \, a^{5} + a^{4}\right)} b^{7} + 256 \, {\left(a^{8} + 3 \, a^{7} + 3 \, a^{6} + a^{5}\right)} b^{6} + 96 \, {\left(a^{8} + 2 \, a^{7} + a^{6}\right)} b^{5} + 16 \, {\left(a^{8} + a^{7}\right)} b^{4} + 4 \, {\left(a^{8} b^{6} + 4 \, {\left(a^{8} + a^{7}\right)} b^{7}\right)} c^{3} + 6 \, {\left(a^{8} b^{5} + 16 \, {\left(a^{8} + 2 \, a^{7} + a^{6}\right)} b^{7} + 8 \, {\left(a^{8} + a^{7}\right)} b^{6}\right)} c^{2} + 4 \, {\left(a^{8} b^{4} + 64 \, {\left(a^{8} + 3 \, a^{7} + 3 \, a^{6} + a^{5}\right)} b^{7} + 48 \, {\left(a^{8} + 2 \, a^{7} + a^{6}\right)} b^{6} + 12 \, {\left(a^{8} + a^{7}\right)} b^{5}\right)} c\right)} \sqrt{-\frac{a^{4} b^{4} c^{4} + 256 \, {\left(a^{4} + 4 \, a^{3} + 6 \, a^{2} + 4 \, a + 1\right)} b^{4} + a^{4} + 256 \, {\left(a^{4} + 3 \, a^{3} + 3 \, a^{2} + a\right)} b^{3} + 4 \, {\left(a^{4} b^{3} + 4 \, {\left(a^{4} + a^{3}\right)} b^{4}\right)} c^{3} + 96 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{2} + 6 \, {\left(a^{4} b^{2} + 16 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{4} + 8 \, {\left(a^{4} + a^{3}\right)} b^{3}\right)} c^{2} + 16 \, {\left(a^{4} + a^{3}\right)} b + 4 \, {\left(a^{4} b + 64 \, {\left(a^{4} + 3 \, a^{3} + 3 \, a^{2} + a\right)} b^{4} + 48 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{3} + 12 \, {\left(a^{4} + a^{3}\right)} b^{2}\right)} c}{a^{8} b^{5}}}} a^{2} b \left(-\frac{a^{4} b^{4} c^{4} + 256 \, {\left(a^{4} + 4 \, a^{3} + 6 \, a^{2} + 4 \, a + 1\right)} b^{4} + a^{4} + 256 \, {\left(a^{4} + 3 \, a^{3} + 3 \, a^{2} + a\right)} b^{3} + 4 \, {\left(a^{4} b^{3} + 4 \, {\left(a^{4} + a^{3}\right)} b^{4}\right)} c^{3} + 96 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{2} + 6 \, {\left(a^{4} b^{2} + 16 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{4} + 8 \, {\left(a^{4} + a^{3}\right)} b^{3}\right)} c^{2} + 16 \, {\left(a^{4} + a^{3}\right)} b + 4 \, {\left(a^{4} b + 64 \, {\left(a^{4} + 3 \, a^{3} + 3 \, a^{2} + a\right)} b^{4} + 48 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{3} + 12 \, {\left(a^{4} + a^{3}\right)} b^{2}\right)} c}{a^{8} b^{5}}\right)^{\frac{1}{4}} - {\left(a^{5} b^{4} c^{3} + a^{5} b + 64 \, {\left(a^{5} + 3 \, a^{4} + 3 \, a^{3} + a^{2}\right)} b^{4} + 48 \, {\left(a^{5} + 2 \, a^{4} + a^{3}\right)} b^{3} + 12 \, {\left(a^{5} + a^{4}\right)} b^{2} + 3 \, {\left(a^{5} b^{3} + 4 \, {\left(a^{5} + a^{4}\right)} b^{4}\right)} c^{2} + 3 \, {\left(a^{5} b^{2} + 16 \, {\left(a^{5} + 2 \, a^{4} + a^{3}\right)} b^{4} + 8 \, {\left(a^{5} + a^{4}\right)} b^{3}\right)} c\right)} \left(-\frac{b x - 1}{c + x}\right)^{\frac{1}{4}} \left(-\frac{a^{4} b^{4} c^{4} + 256 \, {\left(a^{4} + 4 \, a^{3} + 6 \, a^{2} + 4 \, a + 1\right)} b^{4} + a^{4} + 256 \, {\left(a^{4} + 3 \, a^{3} + 3 \, a^{2} + a\right)} b^{3} + 4 \, {\left(a^{4} b^{3} + 4 \, {\left(a^{4} + a^{3}\right)} b^{4}\right)} c^{3} + 96 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{2} + 6 \, {\left(a^{4} b^{2} + 16 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{4} + 8 \, {\left(a^{4} + a^{3}\right)} b^{3}\right)} c^{2} + 16 \, {\left(a^{4} + a^{3}\right)} b + 4 \, {\left(a^{4} b + 64 \, {\left(a^{4} + 3 \, a^{3} + 3 \, a^{2} + a\right)} b^{4} + 48 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{3} + 12 \, {\left(a^{4} + a^{3}\right)} b^{2}\right)} c}{a^{8} b^{5}}\right)^{\frac{1}{4}}}{a^{4} b^{4} c^{4} + 256 \, {\left(a^{4} + 4 \, a^{3} + 6 \, a^{2} + 4 \, a + 1\right)} b^{4} + a^{4} + 256 \, {\left(a^{4} + 3 \, a^{3} + 3 \, a^{2} + a\right)} b^{3} + 4 \, {\left(a^{4} b^{3} + 4 \, {\left(a^{4} + a^{3}\right)} b^{4}\right)} c^{3} + 96 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{2} + 6 \, {\left(a^{4} b^{2} + 16 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{4} + 8 \, {\left(a^{4} + a^{3}\right)} b^{3}\right)} c^{2} + 16 \, {\left(a^{4} + a^{3}\right)} b + 4 \, {\left(a^{4} b + 64 \, {\left(a^{4} + 3 \, a^{3} + 3 \, a^{2} + a\right)} b^{4} + 48 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{3} + 12 \, {\left(a^{4} + a^{3}\right)} b^{2}\right)} c}\right) - 16 \, a b \left(\frac{a^{4} + 4 \, a^{3} + 6 \, a^{2} + {\left(a^{5} + 4 \, a^{4} + 6 \, a^{3} + 4 \, a^{2} + a\right)} c + 4 \, a + 1}{a^{9} - a^{8} b}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{{\left(a^{9} + 4 \, a^{8} + 6 \, a^{7} + 4 \, a^{6} + a^{5} - {\left(a^{8} + 4 \, a^{7} + 6 \, a^{6} + 4 \, a^{5} + a^{4}\right)} b + {\left(a^{10} + 4 \, a^{9} + 6 \, a^{8} + 4 \, a^{7} + a^{6} - {\left(a^{9} + 4 \, a^{8} + 6 \, a^{7} + 4 \, a^{6} + a^{5}\right)} b\right)} c\right)} \sqrt{\frac{a^{4} + 4 \, a^{3} + 6 \, a^{2} + {\left(a^{5} + 4 \, a^{4} + 6 \, a^{3} + 4 \, a^{2} + a\right)} c + 4 \, a + 1}{a^{9} - a^{8} b}} + {\left(a^{6} + 6 \, a^{5} + 15 \, a^{4} + 20 \, a^{3} + {\left(a^{8} + 6 \, a^{7} + 15 \, a^{6} + 20 \, a^{5} + 15 \, a^{4} + 6 \, a^{3} + a^{2}\right)} c^{2} + 15 \, a^{2} + 2 \, {\left(a^{7} + 6 \, a^{6} + 15 \, a^{5} + 20 \, a^{4} + 15 \, a^{3} + 6 \, a^{2} + a\right)} c + 6 \, a + 1\right)} \sqrt{-\frac{b x - 1}{c + x}}} a^{2} \left(\frac{a^{4} + 4 \, a^{3} + 6 \, a^{2} + {\left(a^{5} + 4 \, a^{4} + 6 \, a^{3} + 4 \, a^{2} + a\right)} c + 4 \, a + 1}{a^{9} - a^{8} b}\right)^{\frac{1}{4}} - {\left(a^{5} + 3 \, a^{4} + 3 \, a^{3} + a^{2} + {\left(a^{6} + 3 \, a^{5} + 3 \, a^{4} + a^{3}\right)} c\right)} \left(\frac{a^{4} + 4 \, a^{3} + 6 \, a^{2} + {\left(a^{5} + 4 \, a^{4} + 6 \, a^{3} + 4 \, a^{2} + a\right)} c + 4 \, a + 1}{a^{9} - a^{8} b}\right)^{\frac{1}{4}} \left(-\frac{b x - 1}{c + x}\right)^{\frac{1}{4}}}{a^{4} + 4 \, a^{3} + 6 \, a^{2} + {\left(a^{5} + 4 \, a^{4} + 6 \, a^{3} + 4 \, a^{2} + a\right)} c + 4 \, a + 1}\right) - a b \left(-\frac{a^{4} b^{4} c^{4} + 256 \, {\left(a^{4} + 4 \, a^{3} + 6 \, a^{2} + 4 \, a + 1\right)} b^{4} + a^{4} + 256 \, {\left(a^{4} + 3 \, a^{3} + 3 \, a^{2} + a\right)} b^{3} + 4 \, {\left(a^{4} b^{3} + 4 \, {\left(a^{4} + a^{3}\right)} b^{4}\right)} c^{3} + 96 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{2} + 6 \, {\left(a^{4} b^{2} + 16 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{4} + 8 \, {\left(a^{4} + a^{3}\right)} b^{3}\right)} c^{2} + 16 \, {\left(a^{4} + a^{3}\right)} b + 4 \, {\left(a^{4} b + 64 \, {\left(a^{4} + 3 \, a^{3} + 3 \, a^{2} + a\right)} b^{4} + 48 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{3} + 12 \, {\left(a^{4} + a^{3}\right)} b^{2}\right)} c}{a^{8} b^{5}}\right)^{\frac{1}{4}} \log\left(a^{6} b^{4} \left(-\frac{a^{4} b^{4} c^{4} + 256 \, {\left(a^{4} + 4 \, a^{3} + 6 \, a^{2} + 4 \, a + 1\right)} b^{4} + a^{4} + 256 \, {\left(a^{4} + 3 \, a^{3} + 3 \, a^{2} + a\right)} b^{3} + 4 \, {\left(a^{4} b^{3} + 4 \, {\left(a^{4} + a^{3}\right)} b^{4}\right)} c^{3} + 96 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{2} + 6 \, {\left(a^{4} b^{2} + 16 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{4} + 8 \, {\left(a^{4} + a^{3}\right)} b^{3}\right)} c^{2} + 16 \, {\left(a^{4} + a^{3}\right)} b + 4 \, {\left(a^{4} b + 64 \, {\left(a^{4} + 3 \, a^{3} + 3 \, a^{2} + a\right)} b^{4} + 48 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{3} + 12 \, {\left(a^{4} + a^{3}\right)} b^{2}\right)} c}{a^{8} b^{5}}\right)^{\frac{3}{4}} + {\left(a^{3} b^{3} c^{3} + 64 \, {\left(a^{3} + 3 \, a^{2} + 3 \, a + 1\right)} b^{3} + a^{3} + 48 \, {\left(a^{3} + 2 \, a^{2} + a\right)} b^{2} + 3 \, {\left(a^{3} b^{2} + 4 \, {\left(a^{3} + a^{2}\right)} b^{3}\right)} c^{2} + 12 \, {\left(a^{3} + a^{2}\right)} b + 3 \, {\left(a^{3} b + 16 \, {\left(a^{3} + 2 \, a^{2} + a\right)} b^{3} + 8 \, {\left(a^{3} + a^{2}\right)} b^{2}\right)} c\right)} \left(-\frac{b x - 1}{c + x}\right)^{\frac{1}{4}}\right) + a b \left(-\frac{a^{4} b^{4} c^{4} + 256 \, {\left(a^{4} + 4 \, a^{3} + 6 \, a^{2} + 4 \, a + 1\right)} b^{4} + a^{4} + 256 \, {\left(a^{4} + 3 \, a^{3} + 3 \, a^{2} + a\right)} b^{3} + 4 \, {\left(a^{4} b^{3} + 4 \, {\left(a^{4} + a^{3}\right)} b^{4}\right)} c^{3} + 96 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{2} + 6 \, {\left(a^{4} b^{2} + 16 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{4} + 8 \, {\left(a^{4} + a^{3}\right)} b^{3}\right)} c^{2} + 16 \, {\left(a^{4} + a^{3}\right)} b + 4 \, {\left(a^{4} b + 64 \, {\left(a^{4} + 3 \, a^{3} + 3 \, a^{2} + a\right)} b^{4} + 48 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{3} + 12 \, {\left(a^{4} + a^{3}\right)} b^{2}\right)} c}{a^{8} b^{5}}\right)^{\frac{1}{4}} \log\left(-a^{6} b^{4} \left(-\frac{a^{4} b^{4} c^{4} + 256 \, {\left(a^{4} + 4 \, a^{3} + 6 \, a^{2} + 4 \, a + 1\right)} b^{4} + a^{4} + 256 \, {\left(a^{4} + 3 \, a^{3} + 3 \, a^{2} + a\right)} b^{3} + 4 \, {\left(a^{4} b^{3} + 4 \, {\left(a^{4} + a^{3}\right)} b^{4}\right)} c^{3} + 96 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{2} + 6 \, {\left(a^{4} b^{2} + 16 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{4} + 8 \, {\left(a^{4} + a^{3}\right)} b^{3}\right)} c^{2} + 16 \, {\left(a^{4} + a^{3}\right)} b + 4 \, {\left(a^{4} b + 64 \, {\left(a^{4} + 3 \, a^{3} + 3 \, a^{2} + a\right)} b^{4} + 48 \, {\left(a^{4} + 2 \, a^{3} + a^{2}\right)} b^{3} + 12 \, {\left(a^{4} + a^{3}\right)} b^{2}\right)} c}{a^{8} b^{5}}\right)^{\frac{3}{4}} + {\left(a^{3} b^{3} c^{3} + 64 \, {\left(a^{3} + 3 \, a^{2} + 3 \, a + 1\right)} b^{3} + a^{3} + 48 \, {\left(a^{3} + 2 \, a^{2} + a\right)} b^{2} + 3 \, {\left(a^{3} b^{2} + 4 \, {\left(a^{3} + a^{2}\right)} b^{3}\right)} c^{2} + 12 \, {\left(a^{3} + a^{2}\right)} b + 3 \, {\left(a^{3} b + 16 \, {\left(a^{3} + 2 \, a^{2} + a\right)} b^{3} + 8 \, {\left(a^{3} + a^{2}\right)} b^{2}\right)} c\right)} \left(-\frac{b x - 1}{c + x}\right)^{\frac{1}{4}}\right) - 4 \, a b \left(\frac{a^{4} + 4 \, a^{3} + 6 \, a^{2} + {\left(a^{5} + 4 \, a^{4} + 6 \, a^{3} + 4 \, a^{2} + a\right)} c + 4 \, a + 1}{a^{9} - a^{8} b}\right)^{\frac{1}{4}} \log\left({\left(a^{7} - a^{6} b\right)} \left(\frac{a^{4} + 4 \, a^{3} + 6 \, a^{2} + {\left(a^{5} + 4 \, a^{4} + 6 \, a^{3} + 4 \, a^{2} + a\right)} c + 4 \, a + 1}{a^{9} - a^{8} b}\right)^{\frac{3}{4}} + {\left(a^{3} + 3 \, a^{2} + {\left(a^{4} + 3 \, a^{3} + 3 \, a^{2} + a\right)} c + 3 \, a + 1\right)} \left(-\frac{b x - 1}{c + x}\right)^{\frac{1}{4}}\right) + 4 \, a b \left(\frac{a^{4} + 4 \, a^{3} + 6 \, a^{2} + {\left(a^{5} + 4 \, a^{4} + 6 \, a^{3} + 4 \, a^{2} + a\right)} c + 4 \, a + 1}{a^{9} - a^{8} b}\right)^{\frac{1}{4}} \log\left(-{\left(a^{7} - a^{6} b\right)} \left(\frac{a^{4} + 4 \, a^{3} + 6 \, a^{2} + {\left(a^{5} + 4 \, a^{4} + 6 \, a^{3} + 4 \, a^{2} + a\right)} c + 4 \, a + 1}{a^{9} - a^{8} b}\right)^{\frac{3}{4}} + {\left(a^{3} + 3 \, a^{2} + {\left(a^{4} + 3 \, a^{3} + 3 \, a^{2} + a\right)} c + 3 \, a + 1\right)} \left(-\frac{b x - 1}{c + x}\right)^{\frac{1}{4}}\right) - 4 \, {\left(c + x\right)} \left(-\frac{b x - 1}{c + x}\right)^{\frac{3}{4}}}{4 \, a b}"," ",0,"-1/4*(4*a*b*(-(a^4*b^4*c^4 + 256*(a^4 + 4*a^3 + 6*a^2 + 4*a + 1)*b^4 + a^4 + 256*(a^4 + 3*a^3 + 3*a^2 + a)*b^3 + 4*(a^4*b^3 + 4*(a^4 + a^3)*b^4)*c^3 + 96*(a^4 + 2*a^3 + a^2)*b^2 + 6*(a^4*b^2 + 16*(a^4 + 2*a^3 + a^2)*b^4 + 8*(a^4 + a^3)*b^3)*c^2 + 16*(a^4 + a^3)*b + 4*(a^4*b + 64*(a^4 + 3*a^3 + 3*a^2 + a)*b^4 + 48*(a^4 + 2*a^3 + a^2)*b^3 + 12*(a^4 + a^3)*b^2)*c)/(a^8*b^5))^(1/4)*arctan((sqrt((a^6*b^6*c^6 + 4096*(a^6 + 6*a^5 + 15*a^4 + 20*a^3 + 15*a^2 + 6*a + 1)*b^6 + a^6 + 6144*(a^6 + 5*a^5 + 10*a^4 + 10*a^3 + 5*a^2 + a)*b^5 + 6*(a^6*b^5 + 4*(a^6 + a^5)*b^6)*c^5 + 3840*(a^6 + 4*a^5 + 6*a^4 + 4*a^3 + a^2)*b^4 + 15*(a^6*b^4 + 16*(a^6 + 2*a^5 + a^4)*b^6 + 8*(a^6 + a^5)*b^5)*c^4 + 1280*(a^6 + 3*a^5 + 3*a^4 + a^3)*b^3 + 20*(a^6*b^3 + 64*(a^6 + 3*a^5 + 3*a^4 + a^3)*b^6 + 48*(a^6 + 2*a^5 + a^4)*b^5 + 12*(a^6 + a^5)*b^4)*c^3 + 240*(a^6 + 2*a^5 + a^4)*b^2 + 15*(a^6*b^2 + 256*(a^6 + 4*a^5 + 6*a^4 + 4*a^3 + a^2)*b^6 + 256*(a^6 + 3*a^5 + 3*a^4 + a^3)*b^5 + 96*(a^6 + 2*a^5 + a^4)*b^4 + 16*(a^6 + a^5)*b^3)*c^2 + 24*(a^6 + a^5)*b + 6*(a^6*b + 1024*(a^6 + 5*a^5 + 10*a^4 + 10*a^3 + 5*a^2 + a)*b^6 + 1280*(a^6 + 4*a^5 + 6*a^4 + 4*a^3 + a^2)*b^5 + 640*(a^6 + 3*a^5 + 3*a^4 + a^3)*b^4 + 160*(a^6 + 2*a^5 + a^4)*b^3 + 20*(a^6 + a^5)*b^2)*c)*sqrt(-(b*x - 1)/(c + x)) - (a^8*b^7*c^4 + a^8*b^3 + 256*(a^8 + 4*a^7 + 6*a^6 + 4*a^5 + a^4)*b^7 + 256*(a^8 + 3*a^7 + 3*a^6 + a^5)*b^6 + 96*(a^8 + 2*a^7 + a^6)*b^5 + 16*(a^8 + a^7)*b^4 + 4*(a^8*b^6 + 4*(a^8 + a^7)*b^7)*c^3 + 6*(a^8*b^5 + 16*(a^8 + 2*a^7 + a^6)*b^7 + 8*(a^8 + a^7)*b^6)*c^2 + 4*(a^8*b^4 + 64*(a^8 + 3*a^7 + 3*a^6 + a^5)*b^7 + 48*(a^8 + 2*a^7 + a^6)*b^6 + 12*(a^8 + a^7)*b^5)*c)*sqrt(-(a^4*b^4*c^4 + 256*(a^4 + 4*a^3 + 6*a^2 + 4*a + 1)*b^4 + a^4 + 256*(a^4 + 3*a^3 + 3*a^2 + a)*b^3 + 4*(a^4*b^3 + 4*(a^4 + a^3)*b^4)*c^3 + 96*(a^4 + 2*a^3 + a^2)*b^2 + 6*(a^4*b^2 + 16*(a^4 + 2*a^3 + a^2)*b^4 + 8*(a^4 + a^3)*b^3)*c^2 + 16*(a^4 + a^3)*b + 4*(a^4*b + 64*(a^4 + 3*a^3 + 3*a^2 + a)*b^4 + 48*(a^4 + 2*a^3 + a^2)*b^3 + 12*(a^4 + a^3)*b^2)*c)/(a^8*b^5)))*a^2*b*(-(a^4*b^4*c^4 + 256*(a^4 + 4*a^3 + 6*a^2 + 4*a + 1)*b^4 + a^4 + 256*(a^4 + 3*a^3 + 3*a^2 + a)*b^3 + 4*(a^4*b^3 + 4*(a^4 + a^3)*b^4)*c^3 + 96*(a^4 + 2*a^3 + a^2)*b^2 + 6*(a^4*b^2 + 16*(a^4 + 2*a^3 + a^2)*b^4 + 8*(a^4 + a^3)*b^3)*c^2 + 16*(a^4 + a^3)*b + 4*(a^4*b + 64*(a^4 + 3*a^3 + 3*a^2 + a)*b^4 + 48*(a^4 + 2*a^3 + a^2)*b^3 + 12*(a^4 + a^3)*b^2)*c)/(a^8*b^5))^(1/4) - (a^5*b^4*c^3 + a^5*b + 64*(a^5 + 3*a^4 + 3*a^3 + a^2)*b^4 + 48*(a^5 + 2*a^4 + a^3)*b^3 + 12*(a^5 + a^4)*b^2 + 3*(a^5*b^3 + 4*(a^5 + a^4)*b^4)*c^2 + 3*(a^5*b^2 + 16*(a^5 + 2*a^4 + a^3)*b^4 + 8*(a^5 + a^4)*b^3)*c)*(-(b*x - 1)/(c + x))^(1/4)*(-(a^4*b^4*c^4 + 256*(a^4 + 4*a^3 + 6*a^2 + 4*a + 1)*b^4 + a^4 + 256*(a^4 + 3*a^3 + 3*a^2 + a)*b^3 + 4*(a^4*b^3 + 4*(a^4 + a^3)*b^4)*c^3 + 96*(a^4 + 2*a^3 + a^2)*b^2 + 6*(a^4*b^2 + 16*(a^4 + 2*a^3 + a^2)*b^4 + 8*(a^4 + a^3)*b^3)*c^2 + 16*(a^4 + a^3)*b + 4*(a^4*b + 64*(a^4 + 3*a^3 + 3*a^2 + a)*b^4 + 48*(a^4 + 2*a^3 + a^2)*b^3 + 12*(a^4 + a^3)*b^2)*c)/(a^8*b^5))^(1/4))/(a^4*b^4*c^4 + 256*(a^4 + 4*a^3 + 6*a^2 + 4*a + 1)*b^4 + a^4 + 256*(a^4 + 3*a^3 + 3*a^2 + a)*b^3 + 4*(a^4*b^3 + 4*(a^4 + a^3)*b^4)*c^3 + 96*(a^4 + 2*a^3 + a^2)*b^2 + 6*(a^4*b^2 + 16*(a^4 + 2*a^3 + a^2)*b^4 + 8*(a^4 + a^3)*b^3)*c^2 + 16*(a^4 + a^3)*b + 4*(a^4*b + 64*(a^4 + 3*a^3 + 3*a^2 + a)*b^4 + 48*(a^4 + 2*a^3 + a^2)*b^3 + 12*(a^4 + a^3)*b^2)*c)) - 16*a*b*((a^4 + 4*a^3 + 6*a^2 + (a^5 + 4*a^4 + 6*a^3 + 4*a^2 + a)*c + 4*a + 1)/(a^9 - a^8*b))^(1/4)*arctan((sqrt((a^9 + 4*a^8 + 6*a^7 + 4*a^6 + a^5 - (a^8 + 4*a^7 + 6*a^6 + 4*a^5 + a^4)*b + (a^10 + 4*a^9 + 6*a^8 + 4*a^7 + a^6 - (a^9 + 4*a^8 + 6*a^7 + 4*a^6 + a^5)*b)*c)*sqrt((a^4 + 4*a^3 + 6*a^2 + (a^5 + 4*a^4 + 6*a^3 + 4*a^2 + a)*c + 4*a + 1)/(a^9 - a^8*b)) + (a^6 + 6*a^5 + 15*a^4 + 20*a^3 + (a^8 + 6*a^7 + 15*a^6 + 20*a^5 + 15*a^4 + 6*a^3 + a^2)*c^2 + 15*a^2 + 2*(a^7 + 6*a^6 + 15*a^5 + 20*a^4 + 15*a^3 + 6*a^2 + a)*c + 6*a + 1)*sqrt(-(b*x - 1)/(c + x)))*a^2*((a^4 + 4*a^3 + 6*a^2 + (a^5 + 4*a^4 + 6*a^3 + 4*a^2 + a)*c + 4*a + 1)/(a^9 - a^8*b))^(1/4) - (a^5 + 3*a^4 + 3*a^3 + a^2 + (a^6 + 3*a^5 + 3*a^4 + a^3)*c)*((a^4 + 4*a^3 + 6*a^2 + (a^5 + 4*a^4 + 6*a^3 + 4*a^2 + a)*c + 4*a + 1)/(a^9 - a^8*b))^(1/4)*(-(b*x - 1)/(c + x))^(1/4))/(a^4 + 4*a^3 + 6*a^2 + (a^5 + 4*a^4 + 6*a^3 + 4*a^2 + a)*c + 4*a + 1)) - a*b*(-(a^4*b^4*c^4 + 256*(a^4 + 4*a^3 + 6*a^2 + 4*a + 1)*b^4 + a^4 + 256*(a^4 + 3*a^3 + 3*a^2 + a)*b^3 + 4*(a^4*b^3 + 4*(a^4 + a^3)*b^4)*c^3 + 96*(a^4 + 2*a^3 + a^2)*b^2 + 6*(a^4*b^2 + 16*(a^4 + 2*a^3 + a^2)*b^4 + 8*(a^4 + a^3)*b^3)*c^2 + 16*(a^4 + a^3)*b + 4*(a^4*b + 64*(a^4 + 3*a^3 + 3*a^2 + a)*b^4 + 48*(a^4 + 2*a^3 + a^2)*b^3 + 12*(a^4 + a^3)*b^2)*c)/(a^8*b^5))^(1/4)*log(a^6*b^4*(-(a^4*b^4*c^4 + 256*(a^4 + 4*a^3 + 6*a^2 + 4*a + 1)*b^4 + a^4 + 256*(a^4 + 3*a^3 + 3*a^2 + a)*b^3 + 4*(a^4*b^3 + 4*(a^4 + a^3)*b^4)*c^3 + 96*(a^4 + 2*a^3 + a^2)*b^2 + 6*(a^4*b^2 + 16*(a^4 + 2*a^3 + a^2)*b^4 + 8*(a^4 + a^3)*b^3)*c^2 + 16*(a^4 + a^3)*b + 4*(a^4*b + 64*(a^4 + 3*a^3 + 3*a^2 + a)*b^4 + 48*(a^4 + 2*a^3 + a^2)*b^3 + 12*(a^4 + a^3)*b^2)*c)/(a^8*b^5))^(3/4) + (a^3*b^3*c^3 + 64*(a^3 + 3*a^2 + 3*a + 1)*b^3 + a^3 + 48*(a^3 + 2*a^2 + a)*b^2 + 3*(a^3*b^2 + 4*(a^3 + a^2)*b^3)*c^2 + 12*(a^3 + a^2)*b + 3*(a^3*b + 16*(a^3 + 2*a^2 + a)*b^3 + 8*(a^3 + a^2)*b^2)*c)*(-(b*x - 1)/(c + x))^(1/4)) + a*b*(-(a^4*b^4*c^4 + 256*(a^4 + 4*a^3 + 6*a^2 + 4*a + 1)*b^4 + a^4 + 256*(a^4 + 3*a^3 + 3*a^2 + a)*b^3 + 4*(a^4*b^3 + 4*(a^4 + a^3)*b^4)*c^3 + 96*(a^4 + 2*a^3 + a^2)*b^2 + 6*(a^4*b^2 + 16*(a^4 + 2*a^3 + a^2)*b^4 + 8*(a^4 + a^3)*b^3)*c^2 + 16*(a^4 + a^3)*b + 4*(a^4*b + 64*(a^4 + 3*a^3 + 3*a^2 + a)*b^4 + 48*(a^4 + 2*a^3 + a^2)*b^3 + 12*(a^4 + a^3)*b^2)*c)/(a^8*b^5))^(1/4)*log(-a^6*b^4*(-(a^4*b^4*c^4 + 256*(a^4 + 4*a^3 + 6*a^2 + 4*a + 1)*b^4 + a^4 + 256*(a^4 + 3*a^3 + 3*a^2 + a)*b^3 + 4*(a^4*b^3 + 4*(a^4 + a^3)*b^4)*c^3 + 96*(a^4 + 2*a^3 + a^2)*b^2 + 6*(a^4*b^2 + 16*(a^4 + 2*a^3 + a^2)*b^4 + 8*(a^4 + a^3)*b^3)*c^2 + 16*(a^4 + a^3)*b + 4*(a^4*b + 64*(a^4 + 3*a^3 + 3*a^2 + a)*b^4 + 48*(a^4 + 2*a^3 + a^2)*b^3 + 12*(a^4 + a^3)*b^2)*c)/(a^8*b^5))^(3/4) + (a^3*b^3*c^3 + 64*(a^3 + 3*a^2 + 3*a + 1)*b^3 + a^3 + 48*(a^3 + 2*a^2 + a)*b^2 + 3*(a^3*b^2 + 4*(a^3 + a^2)*b^3)*c^2 + 12*(a^3 + a^2)*b + 3*(a^3*b + 16*(a^3 + 2*a^2 + a)*b^3 + 8*(a^3 + a^2)*b^2)*c)*(-(b*x - 1)/(c + x))^(1/4)) - 4*a*b*((a^4 + 4*a^3 + 6*a^2 + (a^5 + 4*a^4 + 6*a^3 + 4*a^2 + a)*c + 4*a + 1)/(a^9 - a^8*b))^(1/4)*log((a^7 - a^6*b)*((a^4 + 4*a^3 + 6*a^2 + (a^5 + 4*a^4 + 6*a^3 + 4*a^2 + a)*c + 4*a + 1)/(a^9 - a^8*b))^(3/4) + (a^3 + 3*a^2 + (a^4 + 3*a^3 + 3*a^2 + a)*c + 3*a + 1)*(-(b*x - 1)/(c + x))^(1/4)) + 4*a*b*((a^4 + 4*a^3 + 6*a^2 + (a^5 + 4*a^4 + 6*a^3 + 4*a^2 + a)*c + 4*a + 1)/(a^9 - a^8*b))^(1/4)*log(-(a^7 - a^6*b)*((a^4 + 4*a^3 + 6*a^2 + (a^5 + 4*a^4 + 6*a^3 + 4*a^2 + a)*c + 4*a + 1)/(a^9 - a^8*b))^(3/4) + (a^3 + 3*a^2 + (a^4 + 3*a^3 + 3*a^2 + a)*c + 3*a + 1)*(-(b*x - 1)/(c + x))^(1/4)) - 4*(c + x)*(-(b*x - 1)/(c + x))^(3/4))/(a*b)","B",0
3013,-1,0,0,0.000000," ","integrate(x^5*(9*a*x^2-7*b)/(a*x^5-b*x^3)^(1/4)/(a*x^9-b*x^7+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3014,1,40,0,1.549386," ","integrate((a*x^4+b)/(a*x^4-b)^(1/2)/(a*x^4+c^2*x^2-b),x, algorithm=""fricas"")","-\frac{\arctan\left(\frac{2 \, \sqrt{a x^{4} - b} c x}{a x^{4} - c^{2} x^{2} - b}\right)}{2 \, c}"," ",0,"-1/2*arctan(2*sqrt(a*x^4 - b)*c*x/(a*x^4 - c^2*x^2 - b))/c","A",0
3015,-1,0,0,0.000000," ","integrate(x*(-a+x)*(a*b-2*b*x+x^2)/(x*(-a+x)*(-b+x)^2)^(1/3)/(-b^2+2*b*x+(a^2*d-1)*x^2-2*a*d*x^3+d*x^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3016,1,790,0,0.601599," ","integrate((a*x+b)/(a*x-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{3} {\left(a^{3} + a b\right)} \sqrt{-\frac{1}{{\left(a^{3} + a b\right)}^{\frac{2}{3}}}} \log\left(-\frac{2 \, b^{2} x + {\left(3 \, a^{3} + a b\right)} x^{2} - 3 \, {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} + a b\right)}^{\frac{2}{3}} x - \sqrt{3} {\left({\left(a^{3} + a b\right)}^{\frac{4}{3}} x^{2} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} + a b\right)} x - 2 \, {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}} {\left(a^{3} + a b\right)}^{\frac{2}{3}}\right)} \sqrt{-\frac{1}{{\left(a^{3} + a b\right)}^{\frac{2}{3}}}}}{a x^{2} - b x}\right) - 2 \, \sqrt{3} {\left(a^{2} + b\right)} \arctan\left(\frac{\sqrt{3} a x + 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{3 \, a x}\right) - 2 \, {\left(a^{2} + b\right)} \log\left(-\frac{a x - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + {\left(a^{2} + b\right)} \log\left(\frac{a^{2} x^{2} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} a x + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) + 4 \, {\left(a^{3} + a b\right)}^{\frac{2}{3}} \log\left(-\frac{{\left(a^{3} + a b\right)}^{\frac{1}{3}} x - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - 2 \, {\left(a^{3} + a b\right)}^{\frac{2}{3}} \log\left(\frac{{\left(a^{3} + a b\right)}^{\frac{2}{3}} x^{2} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} + a b\right)}^{\frac{1}{3}} x + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{2 \, {\left(a^{3} + a b\right)}}, -\frac{2 \, \sqrt{3} {\left(a^{2} + b\right)} \arctan\left(\frac{\sqrt{3} a x + 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{3 \, a x}\right) - 4 \, \sqrt{3} {\left(a^{3} + a b\right)}^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left({\left(a^{3} + a b\right)}^{\frac{1}{3}} x + 2 \, {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}\right)}}{3 \, {\left(a^{3} + a b\right)}^{\frac{1}{3}} x}\right) + 2 \, {\left(a^{2} + b\right)} \log\left(-\frac{a x - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - {\left(a^{2} + b\right)} \log\left(\frac{a^{2} x^{2} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} a x + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - 4 \, {\left(a^{3} + a b\right)}^{\frac{2}{3}} \log\left(-\frac{{\left(a^{3} + a b\right)}^{\frac{1}{3}} x - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + 2 \, {\left(a^{3} + a b\right)}^{\frac{2}{3}} \log\left(\frac{{\left(a^{3} + a b\right)}^{\frac{2}{3}} x^{2} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} + a b\right)}^{\frac{1}{3}} x + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{2 \, {\left(a^{3} + a b\right)}}\right]"," ",0,"[1/2*(2*sqrt(3)*(a^3 + a*b)*sqrt(-1/(a^3 + a*b)^(2/3))*log(-(2*b^2*x + (3*a^3 + a*b)*x^2 - 3*(a^3*x^3 + b^2*x^2)^(1/3)*(a^3 + a*b)^(2/3)*x - sqrt(3)*((a^3 + a*b)^(4/3)*x^2 + (a^3*x^3 + b^2*x^2)^(1/3)*(a^3 + a*b)*x - 2*(a^3*x^3 + b^2*x^2)^(2/3)*(a^3 + a*b)^(2/3))*sqrt(-1/(a^3 + a*b)^(2/3)))/(a*x^2 - b*x)) - 2*sqrt(3)*(a^2 + b)*arctan(1/3*(sqrt(3)*a*x + 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3))/(a*x)) - 2*(a^2 + b)*log(-(a*x - (a^3*x^3 + b^2*x^2)^(1/3))/x) + (a^2 + b)*log((a^2*x^2 + (a^3*x^3 + b^2*x^2)^(1/3)*a*x + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) + 4*(a^3 + a*b)^(2/3)*log(-((a^3 + a*b)^(1/3)*x - (a^3*x^3 + b^2*x^2)^(1/3))/x) - 2*(a^3 + a*b)^(2/3)*log(((a^3 + a*b)^(2/3)*x^2 + (a^3*x^3 + b^2*x^2)^(1/3)*(a^3 + a*b)^(1/3)*x + (a^3*x^3 + b^2*x^2)^(2/3))/x^2))/(a^3 + a*b), -1/2*(2*sqrt(3)*(a^2 + b)*arctan(1/3*(sqrt(3)*a*x + 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3))/(a*x)) - 4*sqrt(3)*(a^3 + a*b)^(2/3)*arctan(1/3*sqrt(3)*((a^3 + a*b)^(1/3)*x + 2*(a^3*x^3 + b^2*x^2)^(1/3))/((a^3 + a*b)^(1/3)*x)) + 2*(a^2 + b)*log(-(a*x - (a^3*x^3 + b^2*x^2)^(1/3))/x) - (a^2 + b)*log((a^2*x^2 + (a^3*x^3 + b^2*x^2)^(1/3)*a*x + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - 4*(a^3 + a*b)^(2/3)*log(-((a^3 + a*b)^(1/3)*x - (a^3*x^3 + b^2*x^2)^(1/3))/x) + 2*(a^3 + a*b)^(2/3)*log(((a^3 + a*b)^(2/3)*x^2 + (a^3*x^3 + b^2*x^2)^(1/3)*(a^3 + a*b)^(1/3)*x + (a^3*x^3 + b^2*x^2)^(2/3))/x^2))/(a^3 + a*b)]","A",0
3017,-1,0,0,0.000000," ","integrate((a^2*x^4+b)^(1/2)*(a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(a^2*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3018,-1,0,0,0.000000," ","integrate((a^2*x^4+b)^(1/2)*(a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(a^2*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3019,1,301,0,0.612504," ","integrate(1/((-a+x)*(-b+x)^2)^(1/3)/(b-a*d+(-1+d)*x),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} d \sqrt{-\left(-d^{2}\right)^{\frac{1}{3}}} \arctan\left(-\frac{\sqrt{3} {\left(\left(-d^{2}\right)^{\frac{1}{3}} {\left(b - x\right)} + 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} d\right)} \sqrt{-\left(-d^{2}\right)^{\frac{1}{3}}}}{3 \, {\left(b d - d x\right)}}\right) - \left(-d^{2}\right)^{\frac{2}{3}} \log\left(\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d^{2} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(b d - d x\right)} \left(-d^{2}\right)^{\frac{1}{3}} + {\left(b^{2} - 2 \, b x + x^{2}\right)} \left(-d^{2}\right)^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}\right) + 2 \, \left(-d^{2}\right)^{\frac{2}{3}} \log\left(\frac{\left(-d^{2}\right)^{\frac{1}{3}} {\left(b - x\right)} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} d}{b - x}\right)}{2 \, {\left(a - b\right)} d^{2}}"," ",0,"1/2*(2*sqrt(3)*d*sqrt(-(-d^2)^(1/3))*arctan(-1/3*sqrt(3)*((-d^2)^(1/3)*(b - x) + 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*d)*sqrt(-(-d^2)^(1/3))/(b*d - d*x)) - (-d^2)^(2/3)*log(((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d^2 + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(b*d - d*x)*(-d^2)^(1/3) + (b^2 - 2*b*x + x^2)*(-d^2)^(2/3))/(b^2 - 2*b*x + x^2)) + 2*(-d^2)^(2/3)*log(((-d^2)^(1/3)*(b - x) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*d)/(b - x)))/((a - b)*d^2)","A",0
3020,1,960,0,70.104214," ","integrate((2*x^2-3*x-4)*(x^4-x^2+x+1)*((2*x^4-x^2+x+1)/(3*x^4-x^2+x+1))^(1/3)/x^5/(x^4+x^2-x-1),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} \left(-6\right)^{\frac{1}{3}} x^{4} \arctan\left(\frac{6 \, \sqrt{3} \left(-6\right)^{\frac{2}{3}} {\left(1947 \, x^{12} - 2263 \, x^{10} + 2263 \, x^{9} + 3128 \, x^{8} - 1730 \, x^{7} - 974 \, x^{6} + 2057 \, x^{5} + 865 \, x^{4} - 545 \, x^{3} + 327 \, x + 109\right)} \left(\frac{2 \, x^{4} - x^{2} + x + 1}{3 \, x^{4} - x^{2} + x + 1}\right)^{\frac{1}{3}} + 24 \, \sqrt{3} \left(-6\right)^{\frac{1}{3}} {\left(39 \, x^{12} + 11 \, x^{10} - 11 \, x^{9} - 34 \, x^{8} + 46 \, x^{7} + 28 \, x^{6} - 61 \, x^{5} - 23 \, x^{4} + 25 \, x^{3} - 15 \, x - 5\right)} \left(\frac{2 \, x^{4} - x^{2} + x + 1}{3 \, x^{4} - x^{2} + x + 1}\right)^{\frac{2}{3}} + \sqrt{3} {\left(16199 \, x^{12} - 20631 \, x^{10} + 20631 \, x^{9} + 29268 \, x^{8} - 17274 \, x^{7} - 9826 \, x^{6} + 20841 \, x^{5} + 8637 \, x^{4} - 5945 \, x^{3} + 3567 \, x + 1189\right)}}{3 \, {\left(17497 \, x^{12} - 20409 \, x^{10} + 20409 \, x^{9} + 28188 \, x^{8} - 15558 \, x^{7} - 8750 \, x^{6} + 18471 \, x^{5} + 7779 \, x^{4} - 4855 \, x^{3} + 2913 \, x + 971\right)}}\right) - 10 \, \sqrt{3} x^{4} \arctan\left(\frac{26407150 \, \sqrt{3} {\left(3 \, x^{4} - x^{2} + x + 1\right)} \left(\frac{2 \, x^{4} - x^{2} + x + 1}{3 \, x^{4} - x^{2} + x + 1}\right)^{\frac{2}{3}} + 15172108 \, \sqrt{3} {\left(3 \, x^{4} - x^{2} + x + 1\right)} \left(\frac{2 \, x^{4} - x^{2} + x + 1}{3 \, x^{4} - x^{2} + x + 1}\right)^{\frac{1}{3}} + \sqrt{3} {\left(47470762 \, x^{4} - 20789629 \, x^{2} + 20789629 \, x + 20789629\right)}}{29760814 \, x^{4} - 16852563 \, x^{2} + 16852563 \, x + 16852563}\right) + \left(-6\right)^{\frac{1}{3}} x^{4} \log\left(\frac{12 \, \left(-6\right)^{\frac{2}{3}} {\left(39 \, x^{8} - 28 \, x^{6} + 28 \, x^{5} + 33 \, x^{4} - 10 \, x^{3} - 5 \, x^{2} + 10 \, x + 5\right)} \left(\frac{2 \, x^{4} - x^{2} + x + 1}{3 \, x^{4} - x^{2} + x + 1}\right)^{\frac{2}{3}} - \left(-6\right)^{\frac{1}{3}} {\left(649 \, x^{8} - 538 \, x^{6} + 538 \, x^{5} + 647 \, x^{4} - 218 \, x^{3} - 109 \, x^{2} + 218 \, x + 109\right)} + 18 \, {\left(75 \, x^{8} - 58 \, x^{6} + 58 \, x^{5} + 69 \, x^{4} - 22 \, x^{3} - 11 \, x^{2} + 22 \, x + 11\right)} \left(\frac{2 \, x^{4} - x^{2} + x + 1}{3 \, x^{4} - x^{2} + x + 1}\right)^{\frac{1}{3}}}{x^{8} + 2 \, x^{6} - 2 \, x^{5} - x^{4} - 2 \, x^{3} - x^{2} + 2 \, x + 1}\right) - 2 \, \left(-6\right)^{\frac{1}{3}} x^{4} \log\left(\frac{\left(-6\right)^{\frac{2}{3}} {\left(x^{4} + x^{2} - x - 1\right)} + 18 \, \left(-6\right)^{\frac{1}{3}} {\left(3 \, x^{4} - x^{2} + x + 1\right)} \left(\frac{2 \, x^{4} - x^{2} + x + 1}{3 \, x^{4} - x^{2} + x + 1}\right)^{\frac{1}{3}} + 36 \, {\left(3 \, x^{4} - x^{2} + x + 1\right)} \left(\frac{2 \, x^{4} - x^{2} + x + 1}{3 \, x^{4} - x^{2} + x + 1}\right)^{\frac{2}{3}}}{x^{4} + x^{2} - x - 1}\right) - 5 \, x^{4} \log\left(\frac{x^{4} + 3 \, {\left(3 \, x^{4} - x^{2} + x + 1\right)} \left(\frac{2 \, x^{4} - x^{2} + x + 1}{3 \, x^{4} - x^{2} + x + 1}\right)^{\frac{2}{3}} - 3 \, {\left(3 \, x^{4} - x^{2} + x + 1\right)} \left(\frac{2 \, x^{4} - x^{2} + x + 1}{3 \, x^{4} - x^{2} + x + 1}\right)^{\frac{1}{3}}}{x^{4}}\right) + 6 \, {\left(3 \, x^{4} - x^{2} + x + 1\right)} \left(\frac{2 \, x^{4} - x^{2} + x + 1}{3 \, x^{4} - x^{2} + x + 1}\right)^{\frac{1}{3}}}{6 \, x^{4}}"," ",0,"-1/6*(2*sqrt(3)*(-6)^(1/3)*x^4*arctan(1/3*(6*sqrt(3)*(-6)^(2/3)*(1947*x^12 - 2263*x^10 + 2263*x^9 + 3128*x^8 - 1730*x^7 - 974*x^6 + 2057*x^5 + 865*x^4 - 545*x^3 + 327*x + 109)*((2*x^4 - x^2 + x + 1)/(3*x^4 - x^2 + x + 1))^(1/3) + 24*sqrt(3)*(-6)^(1/3)*(39*x^12 + 11*x^10 - 11*x^9 - 34*x^8 + 46*x^7 + 28*x^6 - 61*x^5 - 23*x^4 + 25*x^3 - 15*x - 5)*((2*x^4 - x^2 + x + 1)/(3*x^4 - x^2 + x + 1))^(2/3) + sqrt(3)*(16199*x^12 - 20631*x^10 + 20631*x^9 + 29268*x^8 - 17274*x^7 - 9826*x^6 + 20841*x^5 + 8637*x^4 - 5945*x^3 + 3567*x + 1189))/(17497*x^12 - 20409*x^10 + 20409*x^9 + 28188*x^8 - 15558*x^7 - 8750*x^6 + 18471*x^5 + 7779*x^4 - 4855*x^3 + 2913*x + 971)) - 10*sqrt(3)*x^4*arctan((26407150*sqrt(3)*(3*x^4 - x^2 + x + 1)*((2*x^4 - x^2 + x + 1)/(3*x^4 - x^2 + x + 1))^(2/3) + 15172108*sqrt(3)*(3*x^4 - x^2 + x + 1)*((2*x^4 - x^2 + x + 1)/(3*x^4 - x^2 + x + 1))^(1/3) + sqrt(3)*(47470762*x^4 - 20789629*x^2 + 20789629*x + 20789629))/(29760814*x^4 - 16852563*x^2 + 16852563*x + 16852563)) + (-6)^(1/3)*x^4*log((12*(-6)^(2/3)*(39*x^8 - 28*x^6 + 28*x^5 + 33*x^4 - 10*x^3 - 5*x^2 + 10*x + 5)*((2*x^4 - x^2 + x + 1)/(3*x^4 - x^2 + x + 1))^(2/3) - (-6)^(1/3)*(649*x^8 - 538*x^6 + 538*x^5 + 647*x^4 - 218*x^3 - 109*x^2 + 218*x + 109) + 18*(75*x^8 - 58*x^6 + 58*x^5 + 69*x^4 - 22*x^3 - 11*x^2 + 22*x + 11)*((2*x^4 - x^2 + x + 1)/(3*x^4 - x^2 + x + 1))^(1/3))/(x^8 + 2*x^6 - 2*x^5 - x^4 - 2*x^3 - x^2 + 2*x + 1)) - 2*(-6)^(1/3)*x^4*log(((-6)^(2/3)*(x^4 + x^2 - x - 1) + 18*(-6)^(1/3)*(3*x^4 - x^2 + x + 1)*((2*x^4 - x^2 + x + 1)/(3*x^4 - x^2 + x + 1))^(1/3) + 36*(3*x^4 - x^2 + x + 1)*((2*x^4 - x^2 + x + 1)/(3*x^4 - x^2 + x + 1))^(2/3))/(x^4 + x^2 - x - 1)) - 5*x^4*log((x^4 + 3*(3*x^4 - x^2 + x + 1)*((2*x^4 - x^2 + x + 1)/(3*x^4 - x^2 + x + 1))^(2/3) - 3*(3*x^4 - x^2 + x + 1)*((2*x^4 - x^2 + x + 1)/(3*x^4 - x^2 + x + 1))^(1/3))/x^4) + 6*(3*x^4 - x^2 + x + 1)*((2*x^4 - x^2 + x + 1)/(3*x^4 - x^2 + x + 1))^(1/3))/x^4","B",0
3021,1,806,0,0.558160," ","integrate((a*x-b)/(a*x+b)/(a^3*x^3-b^2*x^2)^(1/3),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{3} {\left(a^{3} + a b\right)} \sqrt{-\frac{1}{{\left(a^{3} + a b\right)}^{\frac{2}{3}}}} \log\left(\frac{2 \, b^{2} x - {\left(3 \, a^{3} + a b\right)} x^{2} + 3 \, {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} + a b\right)}^{\frac{2}{3}} x + \sqrt{3} {\left({\left(a^{3} + a b\right)}^{\frac{4}{3}} x^{2} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} + a b\right)} x - 2 \, {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}} {\left(a^{3} + a b\right)}^{\frac{2}{3}}\right)} \sqrt{-\frac{1}{{\left(a^{3} + a b\right)}^{\frac{2}{3}}}}}{a x^{2} + b x}\right) - 2 \, \sqrt{3} {\left(a^{2} + b\right)} \arctan\left(\frac{\sqrt{3} a x + 2 \, \sqrt{3} {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{3 \, a x}\right) - 2 \, {\left(a^{2} + b\right)} \log\left(-\frac{a x - {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + {\left(a^{2} + b\right)} \log\left(\frac{a^{2} x^{2} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} a x + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) + 4 \, {\left(a^{3} + a b\right)}^{\frac{2}{3}} \log\left(-\frac{{\left(a^{3} + a b\right)}^{\frac{1}{3}} x - {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - 2 \, {\left(a^{3} + a b\right)}^{\frac{2}{3}} \log\left(\frac{{\left(a^{3} + a b\right)}^{\frac{2}{3}} x^{2} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} + a b\right)}^{\frac{1}{3}} x + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{2 \, {\left(a^{3} + a b\right)}}, -\frac{2 \, \sqrt{3} {\left(a^{2} + b\right)} \arctan\left(\frac{\sqrt{3} a x + 2 \, \sqrt{3} {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{3 \, a x}\right) - 4 \, \sqrt{3} {\left(a^{3} + a b\right)}^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left({\left(a^{3} + a b\right)}^{\frac{1}{3}} x + 2 \, {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}\right)}}{3 \, {\left(a^{3} + a b\right)}^{\frac{1}{3}} x}\right) + 2 \, {\left(a^{2} + b\right)} \log\left(-\frac{a x - {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - {\left(a^{2} + b\right)} \log\left(\frac{a^{2} x^{2} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} a x + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - 4 \, {\left(a^{3} + a b\right)}^{\frac{2}{3}} \log\left(-\frac{{\left(a^{3} + a b\right)}^{\frac{1}{3}} x - {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + 2 \, {\left(a^{3} + a b\right)}^{\frac{2}{3}} \log\left(\frac{{\left(a^{3} + a b\right)}^{\frac{2}{3}} x^{2} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} + a b\right)}^{\frac{1}{3}} x + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{2 \, {\left(a^{3} + a b\right)}}\right]"," ",0,"[1/2*(2*sqrt(3)*(a^3 + a*b)*sqrt(-1/(a^3 + a*b)^(2/3))*log((2*b^2*x - (3*a^3 + a*b)*x^2 + 3*(a^3*x^3 - b^2*x^2)^(1/3)*(a^3 + a*b)^(2/3)*x + sqrt(3)*((a^3 + a*b)^(4/3)*x^2 + (a^3*x^3 - b^2*x^2)^(1/3)*(a^3 + a*b)*x - 2*(a^3*x^3 - b^2*x^2)^(2/3)*(a^3 + a*b)^(2/3))*sqrt(-1/(a^3 + a*b)^(2/3)))/(a*x^2 + b*x)) - 2*sqrt(3)*(a^2 + b)*arctan(1/3*(sqrt(3)*a*x + 2*sqrt(3)*(a^3*x^3 - b^2*x^2)^(1/3))/(a*x)) - 2*(a^2 + b)*log(-(a*x - (a^3*x^3 - b^2*x^2)^(1/3))/x) + (a^2 + b)*log((a^2*x^2 + (a^3*x^3 - b^2*x^2)^(1/3)*a*x + (a^3*x^3 - b^2*x^2)^(2/3))/x^2) + 4*(a^3 + a*b)^(2/3)*log(-((a^3 + a*b)^(1/3)*x - (a^3*x^3 - b^2*x^2)^(1/3))/x) - 2*(a^3 + a*b)^(2/3)*log(((a^3 + a*b)^(2/3)*x^2 + (a^3*x^3 - b^2*x^2)^(1/3)*(a^3 + a*b)^(1/3)*x + (a^3*x^3 - b^2*x^2)^(2/3))/x^2))/(a^3 + a*b), -1/2*(2*sqrt(3)*(a^2 + b)*arctan(1/3*(sqrt(3)*a*x + 2*sqrt(3)*(a^3*x^3 - b^2*x^2)^(1/3))/(a*x)) - 4*sqrt(3)*(a^3 + a*b)^(2/3)*arctan(1/3*sqrt(3)*((a^3 + a*b)^(1/3)*x + 2*(a^3*x^3 - b^2*x^2)^(1/3))/((a^3 + a*b)^(1/3)*x)) + 2*(a^2 + b)*log(-(a*x - (a^3*x^3 - b^2*x^2)^(1/3))/x) - (a^2 + b)*log((a^2*x^2 + (a^3*x^3 - b^2*x^2)^(1/3)*a*x + (a^3*x^3 - b^2*x^2)^(2/3))/x^2) - 4*(a^3 + a*b)^(2/3)*log(-((a^3 + a*b)^(1/3)*x - (a^3*x^3 - b^2*x^2)^(1/3))/x) + 2*(a^3 + a*b)^(2/3)*log(((a^3 + a*b)^(2/3)*x^2 + (a^3*x^3 - b^2*x^2)^(1/3)*(a^3 + a*b)^(1/3)*x + (a^3*x^3 - b^2*x^2)^(2/3))/x^2))/(a^3 + a*b)]","A",0
3022,1,2083,0,178.317411," ","integrate((p*x^4-q)*(p*x^4+q)^(1/2)/(c*x^4+b*x^2*(p*x^4+q)+a*(p*x^4+q)^2),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{\frac{1}{2}} \sqrt{-\frac{b + \frac{a b^{2} - 4 \, a^{2} c}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a b^{2} - 4 \, a^{2} c}} \log\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(a b^{2} - 4 \, a^{2} c\right)} p^{2} x^{8} - {\left(b^{3} - 4 \, a b c\right)} p x^{6} - {\left(b^{2} c - 4 \, a c^{2} - 2 \, {\left(a b^{2} - 4 \, a^{2} c\right)} p q\right)} x^{4} - {\left(b^{3} - 4 \, a b c\right)} q x^{2} + {\left(a b^{2} - 4 \, a^{2} c\right)} q^{2} + \frac{{\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} p^{2} x^{8} - {\left(a b^{4} - 8 \, a^{2} b^{2} c + 16 \, a^{3} c^{2}\right)} p x^{6} - {\left(a b^{3} c - 4 \, a^{2} b c^{2} - 2 \, {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} p q\right)} x^{4} - {\left(a b^{4} - 8 \, a^{2} b^{2} c + 16 \, a^{3} c^{2}\right)} q x^{2} + {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} q^{2}}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}\right)} \sqrt{-\frac{b + \frac{a b^{2} - 4 \, a^{2} c}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a b^{2} - 4 \, a^{2} c}} + 2 \, {\left({\left(b^{2} - 2 \, a c\right)} p x^{5} + b c x^{3} + {\left(b^{2} - 2 \, a c\right)} q x + \frac{{\left(a b^{3} - 4 \, a^{2} b c\right)} p x^{5} + {\left(a b^{2} c - 4 \, a^{2} c^{2}\right)} x^{3} + {\left(a b^{3} - 4 \, a^{2} b c\right)} q x}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}\right)} \sqrt{p x^{4} + q}}{a p^{2} x^{8} + b p x^{6} + {\left(2 \, a p q + c\right)} x^{4} + b q x^{2} + a q^{2}}\right) + \frac{1}{4} \, \sqrt{\frac{1}{2}} \sqrt{-\frac{b + \frac{a b^{2} - 4 \, a^{2} c}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a b^{2} - 4 \, a^{2} c}} \log\left(\frac{\sqrt{\frac{1}{2}} {\left({\left(a b^{2} - 4 \, a^{2} c\right)} p^{2} x^{8} - {\left(b^{3} - 4 \, a b c\right)} p x^{6} - {\left(b^{2} c - 4 \, a c^{2} - 2 \, {\left(a b^{2} - 4 \, a^{2} c\right)} p q\right)} x^{4} - {\left(b^{3} - 4 \, a b c\right)} q x^{2} + {\left(a b^{2} - 4 \, a^{2} c\right)} q^{2} + \frac{{\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} p^{2} x^{8} - {\left(a b^{4} - 8 \, a^{2} b^{2} c + 16 \, a^{3} c^{2}\right)} p x^{6} - {\left(a b^{3} c - 4 \, a^{2} b c^{2} - 2 \, {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} p q\right)} x^{4} - {\left(a b^{4} - 8 \, a^{2} b^{2} c + 16 \, a^{3} c^{2}\right)} q x^{2} + {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} q^{2}}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}\right)} \sqrt{-\frac{b + \frac{a b^{2} - 4 \, a^{2} c}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a b^{2} - 4 \, a^{2} c}} - 2 \, {\left({\left(b^{2} - 2 \, a c\right)} p x^{5} + b c x^{3} + {\left(b^{2} - 2 \, a c\right)} q x + \frac{{\left(a b^{3} - 4 \, a^{2} b c\right)} p x^{5} + {\left(a b^{2} c - 4 \, a^{2} c^{2}\right)} x^{3} + {\left(a b^{3} - 4 \, a^{2} b c\right)} q x}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}\right)} \sqrt{p x^{4} + q}}{a p^{2} x^{8} + b p x^{6} + {\left(2 \, a p q + c\right)} x^{4} + b q x^{2} + a q^{2}}\right) - \frac{1}{4} \, \sqrt{\frac{1}{2}} \sqrt{-\frac{b - \frac{a b^{2} - 4 \, a^{2} c}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a b^{2} - 4 \, a^{2} c}} \log\left(-\frac{\sqrt{\frac{1}{2}} {\left({\left(a b^{2} - 4 \, a^{2} c\right)} p^{2} x^{8} - {\left(b^{3} - 4 \, a b c\right)} p x^{6} - {\left(b^{2} c - 4 \, a c^{2} - 2 \, {\left(a b^{2} - 4 \, a^{2} c\right)} p q\right)} x^{4} - {\left(b^{3} - 4 \, a b c\right)} q x^{2} + {\left(a b^{2} - 4 \, a^{2} c\right)} q^{2} - \frac{{\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} p^{2} x^{8} - {\left(a b^{4} - 8 \, a^{2} b^{2} c + 16 \, a^{3} c^{2}\right)} p x^{6} - {\left(a b^{3} c - 4 \, a^{2} b c^{2} - 2 \, {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} p q\right)} x^{4} - {\left(a b^{4} - 8 \, a^{2} b^{2} c + 16 \, a^{3} c^{2}\right)} q x^{2} + {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} q^{2}}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}\right)} \sqrt{-\frac{b - \frac{a b^{2} - 4 \, a^{2} c}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a b^{2} - 4 \, a^{2} c}} + 2 \, {\left({\left(b^{2} - 2 \, a c\right)} p x^{5} + b c x^{3} + {\left(b^{2} - 2 \, a c\right)} q x - \frac{{\left(a b^{3} - 4 \, a^{2} b c\right)} p x^{5} + {\left(a b^{2} c - 4 \, a^{2} c^{2}\right)} x^{3} + {\left(a b^{3} - 4 \, a^{2} b c\right)} q x}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}\right)} \sqrt{p x^{4} + q}}{a p^{2} x^{8} + b p x^{6} + {\left(2 \, a p q + c\right)} x^{4} + b q x^{2} + a q^{2}}\right) + \frac{1}{4} \, \sqrt{\frac{1}{2}} \sqrt{-\frac{b - \frac{a b^{2} - 4 \, a^{2} c}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a b^{2} - 4 \, a^{2} c}} \log\left(\frac{\sqrt{\frac{1}{2}} {\left({\left(a b^{2} - 4 \, a^{2} c\right)} p^{2} x^{8} - {\left(b^{3} - 4 \, a b c\right)} p x^{6} - {\left(b^{2} c - 4 \, a c^{2} - 2 \, {\left(a b^{2} - 4 \, a^{2} c\right)} p q\right)} x^{4} - {\left(b^{3} - 4 \, a b c\right)} q x^{2} + {\left(a b^{2} - 4 \, a^{2} c\right)} q^{2} - \frac{{\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} p^{2} x^{8} - {\left(a b^{4} - 8 \, a^{2} b^{2} c + 16 \, a^{3} c^{2}\right)} p x^{6} - {\left(a b^{3} c - 4 \, a^{2} b c^{2} - 2 \, {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} p q\right)} x^{4} - {\left(a b^{4} - 8 \, a^{2} b^{2} c + 16 \, a^{3} c^{2}\right)} q x^{2} + {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} q^{2}}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}\right)} \sqrt{-\frac{b - \frac{a b^{2} - 4 \, a^{2} c}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}}{a b^{2} - 4 \, a^{2} c}} - 2 \, {\left({\left(b^{2} - 2 \, a c\right)} p x^{5} + b c x^{3} + {\left(b^{2} - 2 \, a c\right)} q x - \frac{{\left(a b^{3} - 4 \, a^{2} b c\right)} p x^{5} + {\left(a b^{2} c - 4 \, a^{2} c^{2}\right)} x^{3} + {\left(a b^{3} - 4 \, a^{2} b c\right)} q x}{\sqrt{a^{2} b^{2} - 4 \, a^{3} c}}\right)} \sqrt{p x^{4} + q}}{a p^{2} x^{8} + b p x^{6} + {\left(2 \, a p q + c\right)} x^{4} + b q x^{2} + a q^{2}}\right)"," ",0,"-1/4*sqrt(1/2)*sqrt(-(b + (a*b^2 - 4*a^2*c)/sqrt(a^2*b^2 - 4*a^3*c))/(a*b^2 - 4*a^2*c))*log(-(sqrt(1/2)*((a*b^2 - 4*a^2*c)*p^2*x^8 - (b^3 - 4*a*b*c)*p*x^6 - (b^2*c - 4*a*c^2 - 2*(a*b^2 - 4*a^2*c)*p*q)*x^4 - (b^3 - 4*a*b*c)*q*x^2 + (a*b^2 - 4*a^2*c)*q^2 + ((a^2*b^3 - 4*a^3*b*c)*p^2*x^8 - (a*b^4 - 8*a^2*b^2*c + 16*a^3*c^2)*p*x^6 - (a*b^3*c - 4*a^2*b*c^2 - 2*(a^2*b^3 - 4*a^3*b*c)*p*q)*x^4 - (a*b^4 - 8*a^2*b^2*c + 16*a^3*c^2)*q*x^2 + (a^2*b^3 - 4*a^3*b*c)*q^2)/sqrt(a^2*b^2 - 4*a^3*c))*sqrt(-(b + (a*b^2 - 4*a^2*c)/sqrt(a^2*b^2 - 4*a^3*c))/(a*b^2 - 4*a^2*c)) + 2*((b^2 - 2*a*c)*p*x^5 + b*c*x^3 + (b^2 - 2*a*c)*q*x + ((a*b^3 - 4*a^2*b*c)*p*x^5 + (a*b^2*c - 4*a^2*c^2)*x^3 + (a*b^3 - 4*a^2*b*c)*q*x)/sqrt(a^2*b^2 - 4*a^3*c))*sqrt(p*x^4 + q))/(a*p^2*x^8 + b*p*x^6 + (2*a*p*q + c)*x^4 + b*q*x^2 + a*q^2)) + 1/4*sqrt(1/2)*sqrt(-(b + (a*b^2 - 4*a^2*c)/sqrt(a^2*b^2 - 4*a^3*c))/(a*b^2 - 4*a^2*c))*log((sqrt(1/2)*((a*b^2 - 4*a^2*c)*p^2*x^8 - (b^3 - 4*a*b*c)*p*x^6 - (b^2*c - 4*a*c^2 - 2*(a*b^2 - 4*a^2*c)*p*q)*x^4 - (b^3 - 4*a*b*c)*q*x^2 + (a*b^2 - 4*a^2*c)*q^2 + ((a^2*b^3 - 4*a^3*b*c)*p^2*x^8 - (a*b^4 - 8*a^2*b^2*c + 16*a^3*c^2)*p*x^6 - (a*b^3*c - 4*a^2*b*c^2 - 2*(a^2*b^3 - 4*a^3*b*c)*p*q)*x^4 - (a*b^4 - 8*a^2*b^2*c + 16*a^3*c^2)*q*x^2 + (a^2*b^3 - 4*a^3*b*c)*q^2)/sqrt(a^2*b^2 - 4*a^3*c))*sqrt(-(b + (a*b^2 - 4*a^2*c)/sqrt(a^2*b^2 - 4*a^3*c))/(a*b^2 - 4*a^2*c)) - 2*((b^2 - 2*a*c)*p*x^5 + b*c*x^3 + (b^2 - 2*a*c)*q*x + ((a*b^3 - 4*a^2*b*c)*p*x^5 + (a*b^2*c - 4*a^2*c^2)*x^3 + (a*b^3 - 4*a^2*b*c)*q*x)/sqrt(a^2*b^2 - 4*a^3*c))*sqrt(p*x^4 + q))/(a*p^2*x^8 + b*p*x^6 + (2*a*p*q + c)*x^4 + b*q*x^2 + a*q^2)) - 1/4*sqrt(1/2)*sqrt(-(b - (a*b^2 - 4*a^2*c)/sqrt(a^2*b^2 - 4*a^3*c))/(a*b^2 - 4*a^2*c))*log(-(sqrt(1/2)*((a*b^2 - 4*a^2*c)*p^2*x^8 - (b^3 - 4*a*b*c)*p*x^6 - (b^2*c - 4*a*c^2 - 2*(a*b^2 - 4*a^2*c)*p*q)*x^4 - (b^3 - 4*a*b*c)*q*x^2 + (a*b^2 - 4*a^2*c)*q^2 - ((a^2*b^3 - 4*a^3*b*c)*p^2*x^8 - (a*b^4 - 8*a^2*b^2*c + 16*a^3*c^2)*p*x^6 - (a*b^3*c - 4*a^2*b*c^2 - 2*(a^2*b^3 - 4*a^3*b*c)*p*q)*x^4 - (a*b^4 - 8*a^2*b^2*c + 16*a^3*c^2)*q*x^2 + (a^2*b^3 - 4*a^3*b*c)*q^2)/sqrt(a^2*b^2 - 4*a^3*c))*sqrt(-(b - (a*b^2 - 4*a^2*c)/sqrt(a^2*b^2 - 4*a^3*c))/(a*b^2 - 4*a^2*c)) + 2*((b^2 - 2*a*c)*p*x^5 + b*c*x^3 + (b^2 - 2*a*c)*q*x - ((a*b^3 - 4*a^2*b*c)*p*x^5 + (a*b^2*c - 4*a^2*c^2)*x^3 + (a*b^3 - 4*a^2*b*c)*q*x)/sqrt(a^2*b^2 - 4*a^3*c))*sqrt(p*x^4 + q))/(a*p^2*x^8 + b*p*x^6 + (2*a*p*q + c)*x^4 + b*q*x^2 + a*q^2)) + 1/4*sqrt(1/2)*sqrt(-(b - (a*b^2 - 4*a^2*c)/sqrt(a^2*b^2 - 4*a^3*c))/(a*b^2 - 4*a^2*c))*log((sqrt(1/2)*((a*b^2 - 4*a^2*c)*p^2*x^8 - (b^3 - 4*a*b*c)*p*x^6 - (b^2*c - 4*a*c^2 - 2*(a*b^2 - 4*a^2*c)*p*q)*x^4 - (b^3 - 4*a*b*c)*q*x^2 + (a*b^2 - 4*a^2*c)*q^2 - ((a^2*b^3 - 4*a^3*b*c)*p^2*x^8 - (a*b^4 - 8*a^2*b^2*c + 16*a^3*c^2)*p*x^6 - (a*b^3*c - 4*a^2*b*c^2 - 2*(a^2*b^3 - 4*a^3*b*c)*p*q)*x^4 - (a*b^4 - 8*a^2*b^2*c + 16*a^3*c^2)*q*x^2 + (a^2*b^3 - 4*a^3*b*c)*q^2)/sqrt(a^2*b^2 - 4*a^3*c))*sqrt(-(b - (a*b^2 - 4*a^2*c)/sqrt(a^2*b^2 - 4*a^3*c))/(a*b^2 - 4*a^2*c)) - 2*((b^2 - 2*a*c)*p*x^5 + b*c*x^3 + (b^2 - 2*a*c)*q*x - ((a*b^3 - 4*a^2*b*c)*p*x^5 + (a*b^2*c - 4*a^2*c^2)*x^3 + (a*b^3 - 4*a^2*b*c)*q*x)/sqrt(a^2*b^2 - 4*a^3*c))*sqrt(p*x^4 + q))/(a*p^2*x^8 + b*p*x^6 + (2*a*p*q + c)*x^4 + b*q*x^2 + a*q^2))","B",0
3023,1,4111,0,0.914064," ","integrate((x^4+1)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1)^(1/2)/(-x^4+1),x, algorithm=""fricas"")","-\frac{16 \, {\left(x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{2} + 1} \arctan\left(\frac{1}{2} \, \sqrt{\sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \, \sqrt{\sqrt{2} + 2} + 2} {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} + \frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} - \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)}\right) + 16 \, {\left(x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{2} + 1} \arctan\left(\frac{1}{2} \, \sqrt{-\sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \, \sqrt{\sqrt{2} + 2} + 2} {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} + \frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} + \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)}\right) - 16 \cdot 2^{\frac{3}{8}} {\left(x^{2} + 1\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{2} - 1} \arctan\left(\frac{1}{2} \cdot 2^{\frac{3}{8}} \sqrt{2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \cdot 2^{\frac{1}{4}} + 2} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} - \frac{1}{2} \cdot 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} - {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right) - 16 \cdot 2^{\frac{3}{8}} {\left(x^{2} + 1\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{2} - 1} \arctan\left(\frac{1}{2} \cdot 2^{\frac{3}{8}} \sqrt{-2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \cdot 2^{\frac{1}{4}} + 2} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} - \frac{1}{2} \cdot 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right) - 4 \, {\left(x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{8} \, \sqrt{\sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 2 \, \sqrt{2} - 2\right)} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(2 \, \sqrt{2} - 3\right)} + 2 \, \sqrt{2} - 2\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(2 \, \sqrt{2} - 3\right)} + 2 \, \sqrt{2} - 2\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 1\right)} + \sqrt{2} - 1\right) - 4 \, {\left(x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{24} \, \sqrt{-9 \, \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 2 \, \sqrt{2} - 2\right)} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 18 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(2 \, \sqrt{2} - 3\right)} + 2 \, \sqrt{2} - 2\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(2 \, \sqrt{2} - 3\right)} + 2 \, \sqrt{2} - 2\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 1\right)} - \sqrt{2} + 1\right) + 4 \, {\left(x^{2} + \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{8} \, \sqrt{{\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4} {\left({\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left({\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} - 1\right) + 4 \, {\left(x^{2} + \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{24} \, \sqrt{-9 \, {\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 18 \, {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36} {\left({\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left({\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} + 1\right) + 32 \, \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{\sqrt{\sqrt{2} + 1} - 1} \arctan\left(\frac{1}{2} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{\sqrt{2} + 1}} \sqrt{\sqrt{\sqrt{2} + 1} - 1} - \frac{1}{2} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} \sqrt{\sqrt{\sqrt{2} + 1} - 1}\right) - 8 \, \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{\sqrt{\sqrt{2} + 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{\sqrt{\sqrt{2} + 1} + 1}\right) + 8 \, \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{\sqrt{\sqrt{2} + 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{\sqrt{\sqrt{2} + 1} + 1}\right) + 8 \, \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{\sqrt{\sqrt{2} - 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{\sqrt{\sqrt{2} - 1} + 1}\right) - 8 \, \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{\sqrt{\sqrt{2} - 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{\sqrt{\sqrt{2} - 1} + 1}\right) + 8 \, \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{-\sqrt{\sqrt{2} - 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{-\sqrt{\sqrt{2} - 1} + 1}\right) - 8 \, \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{-\sqrt{\sqrt{2} - 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{-\sqrt{\sqrt{2} - 1} + 1}\right) - {\left(2 \, \sqrt{2} {\left(x^{2} + 1\right)} - {\left(x^{2} + 1\right)} \sqrt{2 \, \sqrt{2} + 4}\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \log\left(9 \, \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 2 \, \sqrt{2} - 2\right)} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 18 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36\right) + {\left(2 \, \sqrt{2} {\left(x^{2} + 1\right)} - {\left(x^{2} + 1\right)} \sqrt{2 \, \sqrt{2} + 4}\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \log\left(-9 \, \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 2 \, \sqrt{2} - 2\right)} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 18 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36\right) + 4 \, {\left(\sqrt{2} {\left(x^{2} + 1\right)} - {\left(x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{\sqrt{2} + 2}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \log\left(\frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{\sqrt{2} + 2} + 1\right) - 4 \, {\left(\sqrt{2} {\left(x^{2} + 1\right)} - {\left(x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{\sqrt{2} + 2}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \log\left(-\frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{\sqrt{2} + 2} + 1\right) - {\left(2 \, \sqrt{2} {\left(x^{2} + 1\right)} + {\left(x^{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \log\left(9 \, {\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 18 \, {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36\right) + {\left(2 \, \sqrt{2} {\left(x^{2} + 1\right)} + {\left(x^{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \log\left(-9 \, {\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 18 \, {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36\right) + 4 \cdot 2^{\frac{1}{8}} {\left(\sqrt{2} {\left(x^{2} + 1\right)} + 2^{\frac{1}{4}} {\left(x^{2} + 1\right)}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \log\left(\frac{1}{2} \cdot 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{x + \sqrt{x^{2} + 1}} + 2^{\frac{1}{4}} + 1\right) - 4 \cdot 2^{\frac{1}{8}} {\left(\sqrt{2} {\left(x^{2} + 1\right)} + 2^{\frac{1}{4}} {\left(x^{2} + 1\right)}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \log\left(-\frac{1}{2} \cdot 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{x + \sqrt{x^{2} + 1}} + 2^{\frac{1}{4}} + 1\right) - 64 \, {\left(x^{2} + 1\right)} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) + 64 \, {\left(x^{2} + 1\right)} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right) + 32 \, {\left(5 \, x^{2} - \sqrt{x^{2} + 1} x + 5\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{32 \, {\left(x^{2} + 1\right)}}"," ",0,"-1/32*(16*(x^2 - sqrt(2)*(x^2 + 1) + 1)*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4)*sqrt(sqrt(2) + 1)*arctan(1/2*sqrt(sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*sqrt(sqrt(2) + 2) + 2)*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4) + 1/2*((3*sqrt(2) - 4)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (3*sqrt(2) - 4)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) - sqrt(sqrt(2) + 1)*(sqrt(2) - 1)) + 16*(x^2 - sqrt(2)*(x^2 + 1) + 1)*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4)*sqrt(sqrt(2) + 1)*arctan(1/2*sqrt(-sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*sqrt(sqrt(2) + 2) + 2)*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4) + 1/2*((3*sqrt(2) - 4)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (3*sqrt(2) - 4)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) + sqrt(sqrt(2) + 1)*(sqrt(2) - 1)) - 16*2^(3/8)*(x^2 + 1)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(2) - 1)*arctan(1/2*2^(3/8)*sqrt(2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*2^(1/4) + 2)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4) - 1/2*2^(3/8)*(2^(1/4)*(sqrt(2) + 2)*sqrt(sqrt(2) - 1) + (sqrt(2) + 2)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) - (sqrt(2) + 1)*sqrt(sqrt(2) - 1)) - 16*2^(3/8)*(x^2 + 1)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(2) - 1)*arctan(1/2*2^(3/8)*sqrt(-2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*2^(1/4) + 2)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4) - 1/2*2^(3/8)*(2^(1/4)*(sqrt(2) + 2)*sqrt(sqrt(2) - 1) + (sqrt(2) + 2)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1)) - 4*(x^2 - sqrt(2)*(x^2 + 1) + 1)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4)*arctan(1/8*sqrt(sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 2*sqrt(2) - 2)*(2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 2*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 4*sqrt(x + sqrt(x^2 + 1)) + 4)*(sqrt(2*sqrt(2) + 4)*(2*sqrt(2) - 3) + 2*sqrt(2) - 2)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4) - 1/4*(sqrt(2*sqrt(2) + 4)*(2*sqrt(2) - 3) + 2*sqrt(2) - 2)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(2*sqrt(2) + 4)*(sqrt(2) - 1) + sqrt(2) - 1) - 4*(x^2 - sqrt(2)*(x^2 + 1) + 1)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4)*arctan(1/24*sqrt(-9*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 2*sqrt(2) - 2)*(2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 18*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 36*sqrt(x + sqrt(x^2 + 1)) + 36)*(sqrt(2*sqrt(2) + 4)*(2*sqrt(2) - 3) + 2*sqrt(2) - 2)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4) - 1/4*(sqrt(2*sqrt(2) + 4)*(2*sqrt(2) - 3) + 2*sqrt(2) - 2)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(2*sqrt(2) + 4)*(sqrt(2) - 1) - sqrt(2) + 1) + 4*(x^2 + sqrt(2)*(x^2 + 1) + 1)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4)*arctan(1/8*sqrt(((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(x + sqrt(x^2 + 1)) + 4)*((2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4) - 1/4*((2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - (sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - sqrt(2) - 1) + 4*(x^2 + sqrt(2)*(x^2 + 1) + 1)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4)*arctan(1/24*sqrt(-9*((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 18*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 36*sqrt(x + sqrt(x^2 + 1)) + 36)*((2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4) - 1/4*((2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + (sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) + sqrt(2) + 1) + 32*sqrt(2)*(x^2 + 1)*sqrt(sqrt(sqrt(2) + 1) - 1)*arctan(1/2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*sqrt(sqrt(x + sqrt(x^2 + 1)) + sqrt(sqrt(2) + 1))*sqrt(sqrt(sqrt(2) + 1) - 1) - 1/2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)*sqrt(sqrt(sqrt(2) + 1) - 1)) - 8*sqrt(2)*(x^2 + 1)*sqrt(sqrt(sqrt(2) + 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(sqrt(sqrt(2) + 1) + 1)) + 8*sqrt(2)*(x^2 + 1)*sqrt(sqrt(sqrt(2) + 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(sqrt(sqrt(2) + 1) + 1)) + 8*sqrt(2)*(x^2 + 1)*sqrt(sqrt(sqrt(2) - 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(sqrt(sqrt(2) - 1) + 1)) - 8*sqrt(2)*(x^2 + 1)*sqrt(sqrt(sqrt(2) - 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(sqrt(sqrt(2) - 1) + 1)) + 8*sqrt(2)*(x^2 + 1)*sqrt(-sqrt(sqrt(2) - 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(-sqrt(sqrt(2) - 1) + 1)) - 8*sqrt(2)*(x^2 + 1)*sqrt(-sqrt(sqrt(2) - 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(-sqrt(sqrt(2) - 1) + 1)) - (2*sqrt(2)*(x^2 + 1) - (x^2 + 1)*sqrt(2*sqrt(2) + 4))*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(1/4)*log(9*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 2*sqrt(2) - 2)*(2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 18*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 36*sqrt(x + sqrt(x^2 + 1)) + 36) + (2*sqrt(2)*(x^2 + 1) - (x^2 + 1)*sqrt(2*sqrt(2) + 4))*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(1/4)*log(-9*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 2*sqrt(2) - 2)*(2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 18*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 36*sqrt(x + sqrt(x^2 + 1)) + 36) + 4*(sqrt(2)*(x^2 + 1) - (x^2 - sqrt(2)*(x^2 + 1) + 1)*sqrt(sqrt(2) + 2))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(1/4)*log(1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(x + sqrt(x^2 + 1)) + sqrt(sqrt(2) + 2) + 1) - 4*(sqrt(2)*(x^2 + 1) - (x^2 - sqrt(2)*(x^2 + 1) + 1)*sqrt(sqrt(2) + 2))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(1/4)*log(-1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(x + sqrt(x^2 + 1)) + sqrt(sqrt(2) + 2) + 1) - (2*sqrt(2)*(x^2 + 1) + (x^2 + 1)*sqrt(-2*sqrt(2) + 4))*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*log(9*((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 18*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 36*sqrt(x + sqrt(x^2 + 1)) + 36) + (2*sqrt(2)*(x^2 + 1) + (x^2 + 1)*sqrt(-2*sqrt(2) + 4))*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*log(-9*((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 18*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 36*sqrt(x + sqrt(x^2 + 1)) + 36) + 4*2^(1/8)*(sqrt(2)*(x^2 + 1) + 2^(1/4)*(x^2 + 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*log(1/2*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(x + sqrt(x^2 + 1)) + 2^(1/4) + 1) - 4*2^(1/8)*(sqrt(2)*(x^2 + 1) + 2^(1/4)*(x^2 + 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*log(-1/2*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(x + sqrt(x^2 + 1)) + 2^(1/4) + 1) - 64*(x^2 + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) + 64*(x^2 + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1) + 32*(5*x^2 - sqrt(x^2 + 1)*x + 5)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 + 1)","B",0
3024,1,4111,0,0.904718," ","integrate((x^4+1)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1)^(1/2)/(-x^4+1),x, algorithm=""fricas"")","-\frac{16 \, {\left(x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{2} + 1} \arctan\left(\frac{1}{2} \, \sqrt{\sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \, \sqrt{\sqrt{2} + 2} + 2} {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} + \frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} - \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)}\right) + 16 \, {\left(x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{2} + 1} \arctan\left(\frac{1}{2} \, \sqrt{-\sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \, \sqrt{\sqrt{2} + 2} + 2} {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} + \frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} + \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)}\right) - 16 \cdot 2^{\frac{3}{8}} {\left(x^{2} + 1\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{2} - 1} \arctan\left(\frac{1}{2} \cdot 2^{\frac{3}{8}} \sqrt{2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \cdot 2^{\frac{1}{4}} + 2} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} - \frac{1}{2} \cdot 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} - {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right) - 16 \cdot 2^{\frac{3}{8}} {\left(x^{2} + 1\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{2} - 1} \arctan\left(\frac{1}{2} \cdot 2^{\frac{3}{8}} \sqrt{-2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \cdot 2^{\frac{1}{4}} + 2} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} - \frac{1}{2} \cdot 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right) - 4 \, {\left(x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{8} \, \sqrt{\sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 2 \, \sqrt{2} - 2\right)} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(2 \, \sqrt{2} - 3\right)} + 2 \, \sqrt{2} - 2\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(2 \, \sqrt{2} - 3\right)} + 2 \, \sqrt{2} - 2\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 1\right)} + \sqrt{2} - 1\right) - 4 \, {\left(x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{24} \, \sqrt{-9 \, \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 2 \, \sqrt{2} - 2\right)} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 18 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(2 \, \sqrt{2} - 3\right)} + 2 \, \sqrt{2} - 2\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(2 \, \sqrt{2} - 3\right)} + 2 \, \sqrt{2} - 2\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 1\right)} - \sqrt{2} + 1\right) + 4 \, {\left(x^{2} + \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{8} \, \sqrt{{\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4} {\left({\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left({\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - \sqrt{2} - 1\right) + 4 \, {\left(x^{2} + \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{24} \, \sqrt{-9 \, {\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 18 \, {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36} {\left({\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} - \frac{1}{4} \, {\left({\left(2 \, \sqrt{2} + 3\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + {\left(\sqrt{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4} + \sqrt{2} + 1\right) + 32 \, \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{\sqrt{\sqrt{2} + 1} - 1} \arctan\left(\frac{1}{2} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{\sqrt{2} + 1}} \sqrt{\sqrt{\sqrt{2} + 1} - 1} - \frac{1}{2} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} \sqrt{\sqrt{\sqrt{2} + 1} - 1}\right) - 8 \, \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{\sqrt{\sqrt{2} + 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{\sqrt{\sqrt{2} + 1} + 1}\right) + 8 \, \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{\sqrt{\sqrt{2} + 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{\sqrt{\sqrt{2} + 1} + 1}\right) + 8 \, \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{\sqrt{\sqrt{2} - 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{\sqrt{\sqrt{2} - 1} + 1}\right) - 8 \, \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{\sqrt{\sqrt{2} - 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{\sqrt{\sqrt{2} - 1} + 1}\right) + 8 \, \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{-\sqrt{\sqrt{2} - 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{-\sqrt{\sqrt{2} - 1} + 1}\right) - 8 \, \sqrt{2} {\left(x^{2} + 1\right)} \sqrt{-\sqrt{\sqrt{2} - 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{-\sqrt{\sqrt{2} - 1} + 1}\right) - {\left(2 \, \sqrt{2} {\left(x^{2} + 1\right)} - {\left(x^{2} + 1\right)} \sqrt{2 \, \sqrt{2} + 4}\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \log\left(9 \, \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 2 \, \sqrt{2} - 2\right)} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 18 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36\right) + {\left(2 \, \sqrt{2} {\left(x^{2} + 1\right)} - {\left(x^{2} + 1\right)} \sqrt{2 \, \sqrt{2} + 4}\right)} \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \log\left(-9 \, \sqrt{2 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 1\right)} + 4 \, \sqrt{2} + 8} {\left(\sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 2 \, \sqrt{2} - 2\right)} {\left(2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 18 \, \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36\right) + 4 \, {\left(\sqrt{2} {\left(x^{2} + 1\right)} - {\left(x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{\sqrt{2} + 2}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \log\left(\frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{\sqrt{2} + 2} + 1\right) - 4 \, {\left(\sqrt{2} {\left(x^{2} + 1\right)} - {\left(x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 1\right)} \sqrt{\sqrt{2} + 2}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \log\left(-\frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{\sqrt{2} + 2} + 1\right) - {\left(2 \, \sqrt{2} {\left(x^{2} + 1\right)} + {\left(x^{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \log\left(9 \, {\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 18 \, {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36\right) + {\left(2 \, \sqrt{2} {\left(x^{2} + 1\right)} + {\left(x^{2} + 1\right)} \sqrt{-2 \, \sqrt{2} + 4}\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \log\left(-9 \, {\left({\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 2 \, \sqrt{2} + 2\right)} \sqrt{-2 \, {\left(\sqrt{2} - 1\right)} \sqrt{-2 \, \sqrt{2} + 4} - 4 \, \sqrt{2} + 8} {\left(-2 \, \sqrt{2} + 4\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 18 \, {\left(\sqrt{2} + 2\right)} \sqrt{-2 \, \sqrt{2} + 4} + 36 \, \sqrt{x + \sqrt{x^{2} + 1}} + 36\right) + 4 \cdot 2^{\frac{1}{8}} {\left(\sqrt{2} {\left(x^{2} + 1\right)} + 2^{\frac{1}{4}} {\left(x^{2} + 1\right)}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \log\left(\frac{1}{2} \cdot 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{x + \sqrt{x^{2} + 1}} + 2^{\frac{1}{4}} + 1\right) - 4 \cdot 2^{\frac{1}{8}} {\left(\sqrt{2} {\left(x^{2} + 1\right)} + 2^{\frac{1}{4}} {\left(x^{2} + 1\right)}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \log\left(-\frac{1}{2} \cdot 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{x + \sqrt{x^{2} + 1}} + 2^{\frac{1}{4}} + 1\right) - 64 \, {\left(x^{2} + 1\right)} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) + 64 \, {\left(x^{2} + 1\right)} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right) + 32 \, {\left(5 \, x^{2} - \sqrt{x^{2} + 1} x + 5\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{32 \, {\left(x^{2} + 1\right)}}"," ",0,"-1/32*(16*(x^2 - sqrt(2)*(x^2 + 1) + 1)*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4)*sqrt(sqrt(2) + 1)*arctan(1/2*sqrt(sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*sqrt(sqrt(2) + 2) + 2)*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4) + 1/2*((3*sqrt(2) - 4)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (3*sqrt(2) - 4)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) - sqrt(sqrt(2) + 1)*(sqrt(2) - 1)) + 16*(x^2 - sqrt(2)*(x^2 + 1) + 1)*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4)*sqrt(sqrt(2) + 1)*arctan(1/2*sqrt(-sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*sqrt(sqrt(2) + 2) + 2)*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4) + 1/2*((3*sqrt(2) - 4)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (3*sqrt(2) - 4)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) + sqrt(sqrt(2) + 1)*(sqrt(2) - 1)) - 16*2^(3/8)*(x^2 + 1)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(2) - 1)*arctan(1/2*2^(3/8)*sqrt(2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*2^(1/4) + 2)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4) - 1/2*2^(3/8)*(2^(1/4)*(sqrt(2) + 2)*sqrt(sqrt(2) - 1) + (sqrt(2) + 2)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) - (sqrt(2) + 1)*sqrt(sqrt(2) - 1)) - 16*2^(3/8)*(x^2 + 1)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(2) - 1)*arctan(1/2*2^(3/8)*sqrt(-2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*2^(1/4) + 2)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4) - 1/2*2^(3/8)*(2^(1/4)*(sqrt(2) + 2)*sqrt(sqrt(2) - 1) + (sqrt(2) + 2)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1)) - 4*(x^2 - sqrt(2)*(x^2 + 1) + 1)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4)*arctan(1/8*sqrt(sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 2*sqrt(2) - 2)*(2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 2*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 4*sqrt(x + sqrt(x^2 + 1)) + 4)*(sqrt(2*sqrt(2) + 4)*(2*sqrt(2) - 3) + 2*sqrt(2) - 2)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4) - 1/4*(sqrt(2*sqrt(2) + 4)*(2*sqrt(2) - 3) + 2*sqrt(2) - 2)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(2*sqrt(2) + 4)*(sqrt(2) - 1) + sqrt(2) - 1) - 4*(x^2 - sqrt(2)*(x^2 + 1) + 1)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4)*arctan(1/24*sqrt(-9*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 2*sqrt(2) - 2)*(2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 18*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 36*sqrt(x + sqrt(x^2 + 1)) + 36)*(sqrt(2*sqrt(2) + 4)*(2*sqrt(2) - 3) + 2*sqrt(2) - 2)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4) - 1/4*(sqrt(2*sqrt(2) + 4)*(2*sqrt(2) - 3) + 2*sqrt(2) - 2)*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(2*sqrt(2) + 4)*(sqrt(2) - 1) - sqrt(2) + 1) + 4*(x^2 + sqrt(2)*(x^2 + 1) + 1)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4)*arctan(1/8*sqrt(((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 4*sqrt(x + sqrt(x^2 + 1)) + 4)*((2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4) - 1/4*((2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - (sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) - sqrt(2) - 1) + 4*(x^2 + sqrt(2)*(x^2 + 1) + 1)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4)*arctan(1/24*sqrt(-9*((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 18*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 36*sqrt(x + sqrt(x^2 + 1)) + 36)*((2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4) - 1/4*((2*sqrt(2) + 3)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + (sqrt(2) + 1)*sqrt(-2*sqrt(2) + 4) + sqrt(2) + 1) + 32*sqrt(2)*(x^2 + 1)*sqrt(sqrt(sqrt(2) + 1) - 1)*arctan(1/2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*sqrt(sqrt(x + sqrt(x^2 + 1)) + sqrt(sqrt(2) + 1))*sqrt(sqrt(sqrt(2) + 1) - 1) - 1/2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)*sqrt(sqrt(sqrt(2) + 1) - 1)) - 8*sqrt(2)*(x^2 + 1)*sqrt(sqrt(sqrt(2) + 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(sqrt(sqrt(2) + 1) + 1)) + 8*sqrt(2)*(x^2 + 1)*sqrt(sqrt(sqrt(2) + 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(sqrt(sqrt(2) + 1) + 1)) + 8*sqrt(2)*(x^2 + 1)*sqrt(sqrt(sqrt(2) - 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(sqrt(sqrt(2) - 1) + 1)) - 8*sqrt(2)*(x^2 + 1)*sqrt(sqrt(sqrt(2) - 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(sqrt(sqrt(2) - 1) + 1)) + 8*sqrt(2)*(x^2 + 1)*sqrt(-sqrt(sqrt(2) - 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(-sqrt(sqrt(2) - 1) + 1)) - 8*sqrt(2)*(x^2 + 1)*sqrt(-sqrt(sqrt(2) - 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(-sqrt(sqrt(2) - 1) + 1)) - (2*sqrt(2)*(x^2 + 1) - (x^2 + 1)*sqrt(2*sqrt(2) + 4))*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(1/4)*log(9*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 2*sqrt(2) - 2)*(2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 18*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 36*sqrt(x + sqrt(x^2 + 1)) + 36) + (2*sqrt(2)*(x^2 + 1) - (x^2 + 1)*sqrt(2*sqrt(2) + 4))*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(2*sqrt(2) + 4)^(1/4)*log(-9*sqrt(2*sqrt(2*sqrt(2) + 4)*(sqrt(2) + 1) + 4*sqrt(2) + 8)*(sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 2*sqrt(2) - 2)*(2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 18*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2) + 36*sqrt(x + sqrt(x^2 + 1)) + 36) + 4*(sqrt(2)*(x^2 + 1) - (x^2 - sqrt(2)*(x^2 + 1) + 1)*sqrt(sqrt(2) + 2))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(1/4)*log(1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(x + sqrt(x^2 + 1)) + sqrt(sqrt(2) + 2) + 1) - 4*(sqrt(2)*(x^2 + 1) - (x^2 - sqrt(2)*(x^2 + 1) + 1)*sqrt(sqrt(2) + 2))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(1/4)*log(-1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(x + sqrt(x^2 + 1)) + sqrt(sqrt(2) + 2) + 1) - (2*sqrt(2)*(x^2 + 1) + (x^2 + 1)*sqrt(-2*sqrt(2) + 4))*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*log(9*((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 18*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 36*sqrt(x + sqrt(x^2 + 1)) + 36) + (2*sqrt(2)*(x^2 + 1) + (x^2 + 1)*sqrt(-2*sqrt(2) + 4))*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*log(-9*((sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 2*sqrt(2) + 2)*sqrt(-2*(sqrt(2) - 1)*sqrt(-2*sqrt(2) + 4) - 4*sqrt(2) + 8)*(-2*sqrt(2) + 4)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 18*(sqrt(2) + 2)*sqrt(-2*sqrt(2) + 4) + 36*sqrt(x + sqrt(x^2 + 1)) + 36) + 4*2^(1/8)*(sqrt(2)*(x^2 + 1) + 2^(1/4)*(x^2 + 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*log(1/2*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(x + sqrt(x^2 + 1)) + 2^(1/4) + 1) - 4*2^(1/8)*(sqrt(2)*(x^2 + 1) + 2^(1/4)*(x^2 + 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*log(-1/2*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(x + sqrt(x^2 + 1)) + 2^(1/4) + 1) - 64*(x^2 + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) + 64*(x^2 + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1) + 32*(5*x^2 - sqrt(x^2 + 1)*x + 5)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 + 1)","B",0
3025,-2,0,0,0.000000," ","integrate((x^6-x^3+1)/(x^4+x^2)^(1/3)/(x^6-1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
3026,-2,0,0,0.000000," ","integrate((x^6+x^3+1)/(x^4+x^2)^(1/3)/(x^6-1),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
3027,1,564,0,0.628506," ","integrate((a^2*x^2-b)^(1/2)*(a*x+(a^2*x^2-b)^(1/2))^(1/2)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{1575 \, b^{2} \sqrt{c} \log\left(2 \, {\left(a \sqrt{c} x - \sqrt{a^{2} x^{2} - b} \sqrt{c}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} - b}}} + 2 \, {\left(a c x - \sqrt{a^{2} x^{2} - b} c\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} + b\right) + 2 \, {\left(2048 \, c^{8} + 1120 \, a^{2} c^{4} x^{2} - 10640 \, b c^{4} + 6 \, {\left(128 \, a c^{6} + 175 \, a b c^{2}\right)} x + 2 \, {\left(384 \, c^{6} + 560 \, a c^{4} x - 525 \, b c^{2}\right)} \sqrt{a^{2} x^{2} - b} - {\left(1024 \, c^{7} + 1680 \, a^{2} c^{3} x^{2} - 840 \, b c^{3} + 5 \, {\left(128 \, a c^{5} + 315 \, a b c\right)} x + 5 \, {\left(128 \, c^{5} - 336 \, a c^{3} x - 315 \, b c\right)} \sqrt{a^{2} x^{2} - b}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} - b}}}}{10080 \, a c^{4}}, -\frac{1575 \, b^{2} \sqrt{-c} \arctan\left(\frac{\sqrt{-c} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} - b}}}}{c}\right) - {\left(2048 \, c^{8} + 1120 \, a^{2} c^{4} x^{2} - 10640 \, b c^{4} + 6 \, {\left(128 \, a c^{6} + 175 \, a b c^{2}\right)} x + 2 \, {\left(384 \, c^{6} + 560 \, a c^{4} x - 525 \, b c^{2}\right)} \sqrt{a^{2} x^{2} - b} - {\left(1024 \, c^{7} + 1680 \, a^{2} c^{3} x^{2} - 840 \, b c^{3} + 5 \, {\left(128 \, a c^{5} + 315 \, a b c\right)} x + 5 \, {\left(128 \, c^{5} - 336 \, a c^{3} x - 315 \, b c\right)} \sqrt{a^{2} x^{2} - b}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} - b}}}}{5040 \, a c^{4}}\right]"," ",0,"[1/10080*(1575*b^2*sqrt(c)*log(2*(a*sqrt(c)*x - sqrt(a^2*x^2 - b)*sqrt(c))*sqrt(a*x + sqrt(a^2*x^2 - b))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 - b))) + 2*(a*c*x - sqrt(a^2*x^2 - b)*c)*sqrt(a*x + sqrt(a^2*x^2 - b)) + b) + 2*(2048*c^8 + 1120*a^2*c^4*x^2 - 10640*b*c^4 + 6*(128*a*c^6 + 175*a*b*c^2)*x + 2*(384*c^6 + 560*a*c^4*x - 525*b*c^2)*sqrt(a^2*x^2 - b) - (1024*c^7 + 1680*a^2*c^3*x^2 - 840*b*c^3 + 5*(128*a*c^5 + 315*a*b*c)*x + 5*(128*c^5 - 336*a*c^3*x - 315*b*c)*sqrt(a^2*x^2 - b))*sqrt(a*x + sqrt(a^2*x^2 - b)))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 - b))))/(a*c^4), -1/5040*(1575*b^2*sqrt(-c)*arctan(sqrt(-c)*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 - b)))/c) - (2048*c^8 + 1120*a^2*c^4*x^2 - 10640*b*c^4 + 6*(128*a*c^6 + 175*a*b*c^2)*x + 2*(384*c^6 + 560*a*c^4*x - 525*b*c^2)*sqrt(a^2*x^2 - b) - (1024*c^7 + 1680*a^2*c^3*x^2 - 840*b*c^3 + 5*(128*a*c^5 + 315*a*b*c)*x + 5*(128*c^5 - 336*a*c^3*x - 315*b*c)*sqrt(a^2*x^2 - b))*sqrt(a*x + sqrt(a^2*x^2 - b)))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 - b))))/(a*c^4)]","A",0
3028,-1,0,0,0.000000," ","integrate((a*x^8-1)*(a*x^8+1)^(3/4)/(a^2*x^16+x^8+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3029,1,823,0,0.722089," ","integrate((a*x-b)/(a*x+b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{3} {\left(a^{3} - a b\right)} \sqrt{-\frac{1}{{\left(a^{3} - a b\right)}^{\frac{2}{3}}}} \log\left(\frac{2 \, b^{2} x + {\left(3 \, a^{3} - a b\right)} x^{2} - 3 \, {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} - a b\right)}^{\frac{2}{3}} x - \sqrt{3} {\left({\left(a^{3} - a b\right)}^{\frac{4}{3}} x^{2} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} - a b\right)} x - 2 \, {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}} {\left(a^{3} - a b\right)}^{\frac{2}{3}}\right)} \sqrt{-\frac{1}{{\left(a^{3} - a b\right)}^{\frac{2}{3}}}}}{a x^{2} + b x}\right) - 2 \, \sqrt{3} {\left(a^{2} - b\right)} \arctan\left(\frac{\sqrt{3} a x + 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{3 \, a x}\right) - 2 \, {\left(a^{2} - b\right)} \log\left(-\frac{a x - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + {\left(a^{2} - b\right)} \log\left(\frac{a^{2} x^{2} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} a x + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) + 4 \, {\left(a^{3} - a b\right)}^{\frac{2}{3}} \log\left(-\frac{{\left(a^{3} - a b\right)}^{\frac{1}{3}} x - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - 2 \, {\left(a^{3} - a b\right)}^{\frac{2}{3}} \log\left(\frac{{\left(a^{3} - a b\right)}^{\frac{2}{3}} x^{2} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} - a b\right)}^{\frac{1}{3}} x + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{2 \, {\left(a^{3} - a b\right)}}, -\frac{2 \, \sqrt{3} {\left(a^{2} - b\right)} \arctan\left(\frac{\sqrt{3} a x + 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{3 \, a x}\right) - 4 \, \sqrt{3} {\left(a^{3} - a b\right)}^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left({\left(a^{3} - a b\right)}^{\frac{1}{3}} x + 2 \, {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}\right)}}{3 \, {\left(a^{3} - a b\right)}^{\frac{1}{3}} x}\right) + 2 \, {\left(a^{2} - b\right)} \log\left(-\frac{a x - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - {\left(a^{2} - b\right)} \log\left(\frac{a^{2} x^{2} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} a x + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - 4 \, {\left(a^{3} - a b\right)}^{\frac{2}{3}} \log\left(-\frac{{\left(a^{3} - a b\right)}^{\frac{1}{3}} x - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + 2 \, {\left(a^{3} - a b\right)}^{\frac{2}{3}} \log\left(\frac{{\left(a^{3} - a b\right)}^{\frac{2}{3}} x^{2} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} - a b\right)}^{\frac{1}{3}} x + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{2 \, {\left(a^{3} - a b\right)}}\right]"," ",0,"[1/2*(2*sqrt(3)*(a^3 - a*b)*sqrt(-1/(a^3 - a*b)^(2/3))*log((2*b^2*x + (3*a^3 - a*b)*x^2 - 3*(a^3*x^3 + b^2*x^2)^(1/3)*(a^3 - a*b)^(2/3)*x - sqrt(3)*((a^3 - a*b)^(4/3)*x^2 + (a^3*x^3 + b^2*x^2)^(1/3)*(a^3 - a*b)*x - 2*(a^3*x^3 + b^2*x^2)^(2/3)*(a^3 - a*b)^(2/3))*sqrt(-1/(a^3 - a*b)^(2/3)))/(a*x^2 + b*x)) - 2*sqrt(3)*(a^2 - b)*arctan(1/3*(sqrt(3)*a*x + 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3))/(a*x)) - 2*(a^2 - b)*log(-(a*x - (a^3*x^3 + b^2*x^2)^(1/3))/x) + (a^2 - b)*log((a^2*x^2 + (a^3*x^3 + b^2*x^2)^(1/3)*a*x + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) + 4*(a^3 - a*b)^(2/3)*log(-((a^3 - a*b)^(1/3)*x - (a^3*x^3 + b^2*x^2)^(1/3))/x) - 2*(a^3 - a*b)^(2/3)*log(((a^3 - a*b)^(2/3)*x^2 + (a^3*x^3 + b^2*x^2)^(1/3)*(a^3 - a*b)^(1/3)*x + (a^3*x^3 + b^2*x^2)^(2/3))/x^2))/(a^3 - a*b), -1/2*(2*sqrt(3)*(a^2 - b)*arctan(1/3*(sqrt(3)*a*x + 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3))/(a*x)) - 4*sqrt(3)*(a^3 - a*b)^(2/3)*arctan(1/3*sqrt(3)*((a^3 - a*b)^(1/3)*x + 2*(a^3*x^3 + b^2*x^2)^(1/3))/((a^3 - a*b)^(1/3)*x)) + 2*(a^2 - b)*log(-(a*x - (a^3*x^3 + b^2*x^2)^(1/3))/x) - (a^2 - b)*log((a^2*x^2 + (a^3*x^3 + b^2*x^2)^(1/3)*a*x + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - 4*(a^3 - a*b)^(2/3)*log(-((a^3 - a*b)^(1/3)*x - (a^3*x^3 + b^2*x^2)^(1/3))/x) + 2*(a^3 - a*b)^(2/3)*log(((a^3 - a*b)^(2/3)*x^2 + (a^3*x^3 + b^2*x^2)^(1/3)*(a^3 - a*b)^(1/3)*x + (a^3*x^3 + b^2*x^2)^(2/3))/x^2))/(a^3 - a*b)]","A",0
3030,1,399,0,0.743800," ","integrate(1/(x^2-1)^2/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{4 \, \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{5 \, \sqrt{2} + 1} \arctan\left(\frac{1}{7} \, \sqrt{x + \sqrt{2} + \sqrt{x^{2} + 1} - 1} \sqrt{5 \, \sqrt{2} + 1} {\left(2 \, \sqrt{2} + 1\right)} - \frac{1}{7} \, \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{5 \, \sqrt{2} + 1} {\left(2 \, \sqrt{2} + 1\right)}\right) - 4 \, \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{5 \, \sqrt{2} - 1} \arctan\left(\frac{1}{7} \, \sqrt{x + \sqrt{2} + \sqrt{x^{2} + 1} + 1} \sqrt{5 \, \sqrt{2} - 1} {\left(2 \, \sqrt{2} - 1\right)} - \frac{1}{7} \, \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{5 \, \sqrt{2} - 1} {\left(2 \, \sqrt{2} - 1\right)}\right) + \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{5 \, \sqrt{2} - 1} \log\left(\sqrt{5 \, \sqrt{2} - 1} {\left(\sqrt{2} + 3\right)} + 7 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) - \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{5 \, \sqrt{2} - 1} \log\left(-\sqrt{5 \, \sqrt{2} - 1} {\left(\sqrt{2} + 3\right)} + 7 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) + \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{5 \, \sqrt{2} + 1} \log\left(\sqrt{5 \, \sqrt{2} + 1} {\left(\sqrt{2} - 3\right)} + 7 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) - \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{5 \, \sqrt{2} + 1} \log\left(-\sqrt{5 \, \sqrt{2} + 1} {\left(\sqrt{2} - 3\right)} + 7 \, \sqrt{x + \sqrt{x^{2} + 1}}\right) + 8 \, {\left(x^{2} - \sqrt{x^{2} + 1} x\right)} \sqrt{x + \sqrt{x^{2} + 1}}}{16 \, {\left(x^{2} - 1\right)}}"," ",0,"1/16*(4*sqrt(2)*(x^2 - 1)*sqrt(5*sqrt(2) + 1)*arctan(1/7*sqrt(x + sqrt(2) + sqrt(x^2 + 1) - 1)*sqrt(5*sqrt(2) + 1)*(2*sqrt(2) + 1) - 1/7*sqrt(x + sqrt(x^2 + 1))*sqrt(5*sqrt(2) + 1)*(2*sqrt(2) + 1)) - 4*sqrt(2)*(x^2 - 1)*sqrt(5*sqrt(2) - 1)*arctan(1/7*sqrt(x + sqrt(2) + sqrt(x^2 + 1) + 1)*sqrt(5*sqrt(2) - 1)*(2*sqrt(2) - 1) - 1/7*sqrt(x + sqrt(x^2 + 1))*sqrt(5*sqrt(2) - 1)*(2*sqrt(2) - 1)) + sqrt(2)*(x^2 - 1)*sqrt(5*sqrt(2) - 1)*log(sqrt(5*sqrt(2) - 1)*(sqrt(2) + 3) + 7*sqrt(x + sqrt(x^2 + 1))) - sqrt(2)*(x^2 - 1)*sqrt(5*sqrt(2) - 1)*log(-sqrt(5*sqrt(2) - 1)*(sqrt(2) + 3) + 7*sqrt(x + sqrt(x^2 + 1))) + sqrt(2)*(x^2 - 1)*sqrt(5*sqrt(2) + 1)*log(sqrt(5*sqrt(2) + 1)*(sqrt(2) - 3) + 7*sqrt(x + sqrt(x^2 + 1))) - sqrt(2)*(x^2 - 1)*sqrt(5*sqrt(2) + 1)*log(-sqrt(5*sqrt(2) + 1)*(sqrt(2) - 3) + 7*sqrt(x + sqrt(x^2 + 1))) + 8*(x^2 - sqrt(x^2 + 1)*x)*sqrt(x + sqrt(x^2 + 1)))/(x^2 - 1)","A",0
3031,-1,0,0,0.000000," ","integrate((a*x^2+b*x+c)^(3/2)/(1-x*(a*x^2+b*x+c)^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3032,1,2217,0,0.675863," ","integrate((-b+x)^2/((-a+x)*(-b+x)^2)^(2/3)/(-a^2+b^2*d+2*(-b*d+a)*x+(-1+d)*x^2),x, algorithm=""fricas"")","\sqrt{3} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} d^{4} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d^{4} x - {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} d^{4}\right)} \sqrt{\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left({\left(a - b\right)} d x - {\left(a b - b^{2}\right)} d\right)} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{6}} + {\left({\left(a^{2} - 2 \, a b + b^{2}\right)} d^{2} x^{2} - 2 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} d^{2} x + {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} d^{2}\right)} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{3}} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{5}{6}} - \sqrt{3} {\left(b - x\right)}}{3 \, {\left(b - x\right)}}\right) + \sqrt{3} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} d^{4} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d^{4} x - {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} d^{4}\right)} \sqrt{-\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left({\left(a - b\right)} d x - {\left(a b - b^{2}\right)} d\right)} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{6}} - {\left({\left(a^{2} - 2 \, a b + b^{2}\right)} d^{2} x^{2} - 2 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} d^{2} x + {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} d^{2}\right)} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{5}{6}} + \sqrt{3} {\left(b - x\right)}}{3 \, {\left(b - x\right)}}\right) + \frac{1}{4} \, \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{6}} \log\left(\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left({\left(a - b\right)} d x - {\left(a b - b^{2}\right)} d\right)} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{6}} + {\left({\left(a^{2} - 2 \, a b + b^{2}\right)} d^{2} x^{2} - 2 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} d^{2} x + {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} d^{2}\right)} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{3}} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}\right) - \frac{1}{4} \, \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{6}} \log\left(-\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left({\left(a - b\right)} d x - {\left(a b - b^{2}\right)} d\right)} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{6}} - {\left({\left(a^{2} - 2 \, a b + b^{2}\right)} d^{2} x^{2} - 2 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} d^{2} x + {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} d^{2}\right)} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}\right) + \frac{1}{2} \, \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{6}} \log\left(-\frac{{\left({\left(a - b\right)} d x - {\left(a b - b^{2}\right)} d\right)} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{6}} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}}}{b - x}\right) - \frac{1}{2} \, \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{6}} \log\left(\frac{{\left({\left(a - b\right)} d x - {\left(a b - b^{2}\right)} d\right)} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{6}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}}}{b - x}\right)"," ",0,"sqrt(3)*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/6)*arctan(-1/3*(2*sqrt(3)*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*d^4*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(5/6) - 2*sqrt(3)*((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d^4*x - (a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*d^4)*sqrt(((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*((a - b)*d*x - (a*b - b^2)*d)*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/6) + ((a^2 - 2*a*b + b^2)*d^2*x^2 - 2*(a^2*b - 2*a*b^2 + b^3)*d^2*x + (a^2*b^2 - 2*a*b^3 + b^4)*d^2)*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/3) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3))/(b^2 - 2*b*x + x^2))*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(5/6) - sqrt(3)*(b - x))/(b - x)) + sqrt(3)*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/6)*arctan(-1/3*(2*sqrt(3)*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*d^4*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(5/6) - 2*sqrt(3)*((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d^4*x - (a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*d^4)*sqrt(-((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*((a - b)*d*x - (a*b - b^2)*d)*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/6) - ((a^2 - 2*a*b + b^2)*d^2*x^2 - 2*(a^2*b - 2*a*b^2 + b^3)*d^2*x + (a^2*b^2 - 2*a*b^3 + b^4)*d^2)*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3))/(b^2 - 2*b*x + x^2))*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(5/6) + sqrt(3)*(b - x))/(b - x)) + 1/4*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/6)*log(((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*((a - b)*d*x - (a*b - b^2)*d)*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/6) + ((a^2 - 2*a*b + b^2)*d^2*x^2 - 2*(a^2*b - 2*a*b^2 + b^3)*d^2*x + (a^2*b^2 - 2*a*b^3 + b^4)*d^2)*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/3) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3))/(b^2 - 2*b*x + x^2)) - 1/4*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/6)*log(-((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*((a - b)*d*x - (a*b - b^2)*d)*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/6) - ((a^2 - 2*a*b + b^2)*d^2*x^2 - 2*(a^2*b - 2*a*b^2 + b^3)*d^2*x + (a^2*b^2 - 2*a*b^3 + b^4)*d^2)*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3))/(b^2 - 2*b*x + x^2)) + 1/2*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/6)*log(-(((a - b)*d*x - (a*b - b^2)*d)*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/6) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3))/(b - x)) - 1/2*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/6)*log((((a - b)*d*x - (a*b - b^2)*d)*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/6) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3))/(b - x))","B",0
3033,1,843,0,0.598407," ","integrate((a*x+b)/(a*x-b)/(a^3*x^3-b^2*x^2)^(1/3),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{3} {\left(a^{3} - a b\right)} \sqrt{-\frac{1}{{\left(a^{3} - a b\right)}^{\frac{2}{3}}}} \log\left(-\frac{2 \, b^{2} x - {\left(3 \, a^{3} - a b\right)} x^{2} + 3 \, {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} - a b\right)}^{\frac{2}{3}} x + \sqrt{3} {\left({\left(a^{3} - a b\right)}^{\frac{4}{3}} x^{2} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} - a b\right)} x - 2 \, {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}} {\left(a^{3} - a b\right)}^{\frac{2}{3}}\right)} \sqrt{-\frac{1}{{\left(a^{3} - a b\right)}^{\frac{2}{3}}}}}{a x^{2} - b x}\right) - 2 \, \sqrt{3} {\left(a^{2} - b\right)} \arctan\left(\frac{\sqrt{3} a x + 2 \, \sqrt{3} {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{3 \, a x}\right) - 2 \, {\left(a^{2} - b\right)} \log\left(-\frac{a x - {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + {\left(a^{2} - b\right)} \log\left(\frac{a^{2} x^{2} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} a x + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) + 4 \, {\left(a^{3} - a b\right)}^{\frac{2}{3}} \log\left(-\frac{{\left(a^{3} - a b\right)}^{\frac{1}{3}} x - {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - 2 \, {\left(a^{3} - a b\right)}^{\frac{2}{3}} \log\left(\frac{{\left(a^{3} - a b\right)}^{\frac{2}{3}} x^{2} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} - a b\right)}^{\frac{1}{3}} x + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{2 \, {\left(a^{3} - a b\right)}}, -\frac{2 \, \sqrt{3} {\left(a^{2} - b\right)} \arctan\left(\frac{\sqrt{3} a x + 2 \, \sqrt{3} {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{3 \, a x}\right) - 4 \, \sqrt{3} {\left(a^{3} - a b\right)}^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left({\left(a^{3} - a b\right)}^{\frac{1}{3}} x + 2 \, {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}\right)}}{3 \, {\left(a^{3} - a b\right)}^{\frac{1}{3}} x}\right) + 2 \, {\left(a^{2} - b\right)} \log\left(-\frac{a x - {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - {\left(a^{2} - b\right)} \log\left(\frac{a^{2} x^{2} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} a x + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - 4 \, {\left(a^{3} - a b\right)}^{\frac{2}{3}} \log\left(-\frac{{\left(a^{3} - a b\right)}^{\frac{1}{3}} x - {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + 2 \, {\left(a^{3} - a b\right)}^{\frac{2}{3}} \log\left(\frac{{\left(a^{3} - a b\right)}^{\frac{2}{3}} x^{2} + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} - a b\right)}^{\frac{1}{3}} x + {\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{2 \, {\left(a^{3} - a b\right)}}\right]"," ",0,"[1/2*(2*sqrt(3)*(a^3 - a*b)*sqrt(-1/(a^3 - a*b)^(2/3))*log(-(2*b^2*x - (3*a^3 - a*b)*x^2 + 3*(a^3*x^3 - b^2*x^2)^(1/3)*(a^3 - a*b)^(2/3)*x + sqrt(3)*((a^3 - a*b)^(4/3)*x^2 + (a^3*x^3 - b^2*x^2)^(1/3)*(a^3 - a*b)*x - 2*(a^3*x^3 - b^2*x^2)^(2/3)*(a^3 - a*b)^(2/3))*sqrt(-1/(a^3 - a*b)^(2/3)))/(a*x^2 - b*x)) - 2*sqrt(3)*(a^2 - b)*arctan(1/3*(sqrt(3)*a*x + 2*sqrt(3)*(a^3*x^3 - b^2*x^2)^(1/3))/(a*x)) - 2*(a^2 - b)*log(-(a*x - (a^3*x^3 - b^2*x^2)^(1/3))/x) + (a^2 - b)*log((a^2*x^2 + (a^3*x^3 - b^2*x^2)^(1/3)*a*x + (a^3*x^3 - b^2*x^2)^(2/3))/x^2) + 4*(a^3 - a*b)^(2/3)*log(-((a^3 - a*b)^(1/3)*x - (a^3*x^3 - b^2*x^2)^(1/3))/x) - 2*(a^3 - a*b)^(2/3)*log(((a^3 - a*b)^(2/3)*x^2 + (a^3*x^3 - b^2*x^2)^(1/3)*(a^3 - a*b)^(1/3)*x + (a^3*x^3 - b^2*x^2)^(2/3))/x^2))/(a^3 - a*b), -1/2*(2*sqrt(3)*(a^2 - b)*arctan(1/3*(sqrt(3)*a*x + 2*sqrt(3)*(a^3*x^3 - b^2*x^2)^(1/3))/(a*x)) - 4*sqrt(3)*(a^3 - a*b)^(2/3)*arctan(1/3*sqrt(3)*((a^3 - a*b)^(1/3)*x + 2*(a^3*x^3 - b^2*x^2)^(1/3))/((a^3 - a*b)^(1/3)*x)) + 2*(a^2 - b)*log(-(a*x - (a^3*x^3 - b^2*x^2)^(1/3))/x) - (a^2 - b)*log((a^2*x^2 + (a^3*x^3 - b^2*x^2)^(1/3)*a*x + (a^3*x^3 - b^2*x^2)^(2/3))/x^2) - 4*(a^3 - a*b)^(2/3)*log(-((a^3 - a*b)^(1/3)*x - (a^3*x^3 - b^2*x^2)^(1/3))/x) + 2*(a^3 - a*b)^(2/3)*log(((a^3 - a*b)^(2/3)*x^2 + (a^3*x^3 - b^2*x^2)^(1/3)*(a^3 - a*b)^(1/3)*x + (a^3*x^3 - b^2*x^2)^(2/3))/x^2))/(a^3 - a*b)]","A",0
3034,1,469,0,1.060194," ","integrate(1/(a*x+(a^2*x^2-b)^(1/2))^(1/3)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/3))^(1/4),x, algorithm=""fricas"")","\frac{16380 \, a b c^{4} \left(\frac{b^{4}}{a^{4} c^{17}}\right)^{\frac{1}{4}} \arctan\left(-\frac{a b^{3} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{1}{4}} c^{4} \left(\frac{b^{4}}{a^{4} c^{17}}\right)^{\frac{1}{4}} - \sqrt{a^{2} b^{4} c^{9} \sqrt{\frac{b^{4}}{a^{4} c^{17}}} + b^{6} \sqrt{c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}}} a c^{4} \left(\frac{b^{4}}{a^{4} c^{17}}\right)^{\frac{1}{4}}}{b^{4}}\right) + 4095 \, a b c^{4} \left(\frac{b^{4}}{a^{4} c^{17}}\right)^{\frac{1}{4}} \log\left(200201625 \, a^{3} c^{13} \left(\frac{b^{4}}{a^{4} c^{17}}\right)^{\frac{3}{4}} + 200201625 \, b^{3} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{1}{4}}\right) - 4095 \, a b c^{4} \left(\frac{b^{4}}{a^{4} c^{17}}\right)^{\frac{1}{4}} \log\left(-200201625 \, a^{3} c^{13} \left(\frac{b^{4}}{a^{4} c^{17}}\right)^{\frac{3}{4}} + 200201625 \, b^{3} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{1}{4}}\right) - 4 \, {\left(8192 \, b c^{5} + 2912 \, a b c^{2} x - 2912 \, \sqrt{a^{2} x^{2} - b} b c^{2} - 21 \, {\left(256 \, a^{2} c^{3} x^{2} - 128 \, b c^{3} - 195 \, a b x - {\left(256 \, a c^{3} x - 195 \, b\right)} \sqrt{a^{2} x^{2} - b}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{2}{3}} - 12 \, {\left(512 \, b c^{4} + 273 \, a b c x - 273 \, \sqrt{a^{2} x^{2} - b} b c\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{3}{4}}}{28672 \, a b c^{4}}"," ",0,"1/28672*(16380*a*b*c^4*(b^4/(a^4*c^17))^(1/4)*arctan(-(a*b^3*(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(1/4)*c^4*(b^4/(a^4*c^17))^(1/4) - sqrt(a^2*b^4*c^9*sqrt(b^4/(a^4*c^17)) + b^6*sqrt(c + (a*x + sqrt(a^2*x^2 - b))^(1/3)))*a*c^4*(b^4/(a^4*c^17))^(1/4))/b^4) + 4095*a*b*c^4*(b^4/(a^4*c^17))^(1/4)*log(200201625*a^3*c^13*(b^4/(a^4*c^17))^(3/4) + 200201625*b^3*(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(1/4)) - 4095*a*b*c^4*(b^4/(a^4*c^17))^(1/4)*log(-200201625*a^3*c^13*(b^4/(a^4*c^17))^(3/4) + 200201625*b^3*(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(1/4)) - 4*(8192*b*c^5 + 2912*a*b*c^2*x - 2912*sqrt(a^2*x^2 - b)*b*c^2 - 21*(256*a^2*c^3*x^2 - 128*b*c^3 - 195*a*b*x - (256*a*c^3*x - 195*b)*sqrt(a^2*x^2 - b))*(a*x + sqrt(a^2*x^2 - b))^(2/3) - 12*(512*b*c^4 + 273*a*b*c*x - 273*sqrt(a^2*x^2 - b)*b*c)*(a*x + sqrt(a^2*x^2 - b))^(1/3))*(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(3/4))/(a*b*c^4)","A",0
3035,-1,0,0,0.000000," ","integrate(x^4/(a*x^4-b)^(1/4)/(x^8+2*a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3036,1,4991,0,1.049372," ","integrate((c*x^2+d)*(a*x+(a^2*x^2-b)^(1/2))^(3/4)/(a^2*x^2-b)^(5/2),x, algorithm=""fricas"")","-\frac{12 \, \sqrt{2} {\left(a^{7} b^{2} x^{4} - 2 \, a^{5} b^{3} x^{2} + a^{3} b^{4}\right)} \left(\frac{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}{a^{24} b^{13}}\right)^{\frac{1}{8}} \arctan\left(\frac{\sqrt{2} \sqrt{a^{18} b^{10} \left(\frac{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}{a^{24} b^{13}}\right)^{\frac{3}{4}} + \sqrt{2} {\left(166375 \, a^{15} b^{5} d^{3} - 372075 \, a^{13} b^{6} c d^{2} + 277365 \, a^{11} b^{7} c^{2} d - 68921 \, a^{9} b^{8} c^{3}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} \left(\frac{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}{a^{24} b^{13}}\right)^{\frac{3}{8}} + {\left(27680640625 \, a^{12} d^{6} - 123807956250 \, a^{10} b c d^{5} + 230733009375 \, a^{8} b^{2} c^{2} d^{4} - 229334627500 \, a^{6} b^{3} c^{3} d^{3} + 128218905375 \, a^{4} b^{4} c^{4} d^{2} - 38232546330 \, a^{2} b^{5} c^{5} d + 4750104241 \, b^{6} c^{6}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}}} a^{15} b^{8} \left(\frac{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}{a^{24} b^{13}}\right)^{\frac{5}{8}} - 83733937890625 \, a^{16} d^{8} + 499358756875000 \, a^{14} b c d^{7} - 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} + 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} - 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} + 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} - 402333829212700 \, a^{4} b^{6} c^{6} d^{2} + 85691880507640 \, a^{2} b^{7} c^{7} d - 7984925229121 \, b^{8} c^{8} - \sqrt{2} {\left(166375 \, a^{21} b^{8} d^{3} - 372075 \, a^{19} b^{9} c d^{2} + 277365 \, a^{17} b^{10} c^{2} d - 68921 \, a^{15} b^{11} c^{3}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} \left(\frac{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}{a^{24} b^{13}}\right)^{\frac{5}{8}}}{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}\right) + 12 \, \sqrt{2} {\left(a^{7} b^{2} x^{4} - 2 \, a^{5} b^{3} x^{2} + a^{3} b^{4}\right)} \left(\frac{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}{a^{24} b^{13}}\right)^{\frac{1}{8}} \arctan\left(\frac{\sqrt{2} \sqrt{a^{18} b^{10} \left(\frac{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}{a^{24} b^{13}}\right)^{\frac{3}{4}} - \sqrt{2} {\left(166375 \, a^{15} b^{5} d^{3} - 372075 \, a^{13} b^{6} c d^{2} + 277365 \, a^{11} b^{7} c^{2} d - 68921 \, a^{9} b^{8} c^{3}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} \left(\frac{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}{a^{24} b^{13}}\right)^{\frac{3}{8}} + {\left(27680640625 \, a^{12} d^{6} - 123807956250 \, a^{10} b c d^{5} + 230733009375 \, a^{8} b^{2} c^{2} d^{4} - 229334627500 \, a^{6} b^{3} c^{3} d^{3} + 128218905375 \, a^{4} b^{4} c^{4} d^{2} - 38232546330 \, a^{2} b^{5} c^{5} d + 4750104241 \, b^{6} c^{6}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}}} a^{15} b^{8} \left(\frac{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}{a^{24} b^{13}}\right)^{\frac{5}{8}} + 83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8} - \sqrt{2} {\left(166375 \, a^{21} b^{8} d^{3} - 372075 \, a^{19} b^{9} c d^{2} + 277365 \, a^{17} b^{10} c^{2} d - 68921 \, a^{15} b^{11} c^{3}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} \left(\frac{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}{a^{24} b^{13}}\right)^{\frac{5}{8}}}{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}\right) + 3 \, \sqrt{2} {\left(a^{7} b^{2} x^{4} - 2 \, a^{5} b^{3} x^{2} + a^{3} b^{4}\right)} \left(\frac{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}{a^{24} b^{13}}\right)^{\frac{1}{8}} \log\left(a^{18} b^{10} \left(\frac{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}{a^{24} b^{13}}\right)^{\frac{3}{4}} + \sqrt{2} {\left(166375 \, a^{15} b^{5} d^{3} - 372075 \, a^{13} b^{6} c d^{2} + 277365 \, a^{11} b^{7} c^{2} d - 68921 \, a^{9} b^{8} c^{3}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} \left(\frac{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}{a^{24} b^{13}}\right)^{\frac{3}{8}} + {\left(27680640625 \, a^{12} d^{6} - 123807956250 \, a^{10} b c d^{5} + 230733009375 \, a^{8} b^{2} c^{2} d^{4} - 229334627500 \, a^{6} b^{3} c^{3} d^{3} + 128218905375 \, a^{4} b^{4} c^{4} d^{2} - 38232546330 \, a^{2} b^{5} c^{5} d + 4750104241 \, b^{6} c^{6}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}}\right) - 3 \, \sqrt{2} {\left(a^{7} b^{2} x^{4} - 2 \, a^{5} b^{3} x^{2} + a^{3} b^{4}\right)} \left(\frac{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}{a^{24} b^{13}}\right)^{\frac{1}{8}} \log\left(a^{18} b^{10} \left(\frac{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}{a^{24} b^{13}}\right)^{\frac{3}{4}} - \sqrt{2} {\left(166375 \, a^{15} b^{5} d^{3} - 372075 \, a^{13} b^{6} c d^{2} + 277365 \, a^{11} b^{7} c^{2} d - 68921 \, a^{9} b^{8} c^{3}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} \left(\frac{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}{a^{24} b^{13}}\right)^{\frac{3}{8}} + {\left(27680640625 \, a^{12} d^{6} - 123807956250 \, a^{10} b c d^{5} + 230733009375 \, a^{8} b^{2} c^{2} d^{4} - 229334627500 \, a^{6} b^{3} c^{3} d^{3} + 128218905375 \, a^{4} b^{4} c^{4} d^{2} - 38232546330 \, a^{2} b^{5} c^{5} d + 4750104241 \, b^{6} c^{6}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}}\right) - 24 \, {\left(a^{7} b^{2} x^{4} - 2 \, a^{5} b^{3} x^{2} + a^{3} b^{4}\right)} \left(\frac{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}{a^{24} b^{13}}\right)^{\frac{1}{8}} \arctan\left(\frac{\sqrt{a^{18} b^{10} \left(\frac{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}{a^{24} b^{13}}\right)^{\frac{3}{4}} + {\left(27680640625 \, a^{12} d^{6} - 123807956250 \, a^{10} b c d^{5} + 230733009375 \, a^{8} b^{2} c^{2} d^{4} - 229334627500 \, a^{6} b^{3} c^{3} d^{3} + 128218905375 \, a^{4} b^{4} c^{4} d^{2} - 38232546330 \, a^{2} b^{5} c^{5} d + 4750104241 \, b^{6} c^{6}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}}} a^{15} b^{8} \left(\frac{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}{a^{24} b^{13}}\right)^{\frac{5}{8}} - {\left(166375 \, a^{21} b^{8} d^{3} - 372075 \, a^{19} b^{9} c d^{2} + 277365 \, a^{17} b^{10} c^{2} d - 68921 \, a^{15} b^{11} c^{3}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} \left(\frac{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}{a^{24} b^{13}}\right)^{\frac{5}{8}}}{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}\right) - 6 \, {\left(a^{7} b^{2} x^{4} - 2 \, a^{5} b^{3} x^{2} + a^{3} b^{4}\right)} \left(\frac{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}{a^{24} b^{13}}\right)^{\frac{1}{8}} \log\left(a^{9} b^{5} \left(\frac{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}{a^{24} b^{13}}\right)^{\frac{3}{8}} + {\left(166375 \, a^{6} d^{3} - 372075 \, a^{4} b c d^{2} + 277365 \, a^{2} b^{2} c^{2} d - 68921 \, b^{3} c^{3}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right) + 6 \, {\left(a^{7} b^{2} x^{4} - 2 \, a^{5} b^{3} x^{2} + a^{3} b^{4}\right)} \left(\frac{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}{a^{24} b^{13}}\right)^{\frac{1}{8}} \log\left(-a^{9} b^{5} \left(\frac{83733937890625 \, a^{16} d^{8} - 499358756875000 \, a^{14} b c d^{7} + 1302872392937500 \, a^{12} b^{2} c^{2} d^{6} - 1942464294925000 \, a^{10} b^{3} c^{3} d^{5} + 1810023547543750 \, a^{8} b^{4} c^{4} d^{4} - 1079432224717000 \, a^{6} b^{5} c^{5} d^{3} + 402333829212700 \, a^{4} b^{6} c^{6} d^{2} - 85691880507640 \, a^{2} b^{7} c^{7} d + 7984925229121 \, b^{8} c^{8}}{a^{24} b^{13}}\right)^{\frac{3}{8}} + {\left(166375 \, a^{6} d^{3} - 372075 \, a^{4} b c d^{2} + 277365 \, a^{2} b^{2} c^{2} d - 68921 \, b^{3} c^{3}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right) + 8 \, {\left(43 \, a^{2} b^{2} d + {\left(55 \, a^{6} d - 41 \, a^{4} b c\right)} x^{4} - 53 \, b^{3} c - 2 \, {\left(49 \, a^{4} b d - 47 \, a^{2} b^{2} c\right)} x^{2} - \sqrt{a^{2} x^{2} - b} {\left({\left(55 \, a^{5} d - 41 \, a^{3} b c\right)} x^{3} - 3 \, {\left(29 \, a^{3} b d - 3 \, a b^{2} c\right)} x\right)}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}}}{768 \, {\left(a^{7} b^{2} x^{4} - 2 \, a^{5} b^{3} x^{2} + a^{3} b^{4}\right)}}"," ",0,"-1/768*(12*sqrt(2)*(a^7*b^2*x^4 - 2*a^5*b^3*x^2 + a^3*b^4)*((83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)/(a^24*b^13))^(1/8)*arctan((sqrt(2)*sqrt(a^18*b^10*((83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)/(a^24*b^13))^(3/4) + sqrt(2)*(166375*a^15*b^5*d^3 - 372075*a^13*b^6*c*d^2 + 277365*a^11*b^7*c^2*d - 68921*a^9*b^8*c^3)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*((83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)/(a^24*b^13))^(3/8) + (27680640625*a^12*d^6 - 123807956250*a^10*b*c*d^5 + 230733009375*a^8*b^2*c^2*d^4 - 229334627500*a^6*b^3*c^3*d^3 + 128218905375*a^4*b^4*c^4*d^2 - 38232546330*a^2*b^5*c^5*d + 4750104241*b^6*c^6)*sqrt(a*x + sqrt(a^2*x^2 - b)))*a^15*b^8*((83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)/(a^24*b^13))^(5/8) - 83733937890625*a^16*d^8 + 499358756875000*a^14*b*c*d^7 - 1302872392937500*a^12*b^2*c^2*d^6 + 1942464294925000*a^10*b^3*c^3*d^5 - 1810023547543750*a^8*b^4*c^4*d^4 + 1079432224717000*a^6*b^5*c^5*d^3 - 402333829212700*a^4*b^6*c^6*d^2 + 85691880507640*a^2*b^7*c^7*d - 7984925229121*b^8*c^8 - sqrt(2)*(166375*a^21*b^8*d^3 - 372075*a^19*b^9*c*d^2 + 277365*a^17*b^10*c^2*d - 68921*a^15*b^11*c^3)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*((83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)/(a^24*b^13))^(5/8))/(83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)) + 12*sqrt(2)*(a^7*b^2*x^4 - 2*a^5*b^3*x^2 + a^3*b^4)*((83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)/(a^24*b^13))^(1/8)*arctan((sqrt(2)*sqrt(a^18*b^10*((83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)/(a^24*b^13))^(3/4) - sqrt(2)*(166375*a^15*b^5*d^3 - 372075*a^13*b^6*c*d^2 + 277365*a^11*b^7*c^2*d - 68921*a^9*b^8*c^3)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*((83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)/(a^24*b^13))^(3/8) + (27680640625*a^12*d^6 - 123807956250*a^10*b*c*d^5 + 230733009375*a^8*b^2*c^2*d^4 - 229334627500*a^6*b^3*c^3*d^3 + 128218905375*a^4*b^4*c^4*d^2 - 38232546330*a^2*b^5*c^5*d + 4750104241*b^6*c^6)*sqrt(a*x + sqrt(a^2*x^2 - b)))*a^15*b^8*((83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)/(a^24*b^13))^(5/8) + 83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8 - sqrt(2)*(166375*a^21*b^8*d^3 - 372075*a^19*b^9*c*d^2 + 277365*a^17*b^10*c^2*d - 68921*a^15*b^11*c^3)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*((83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)/(a^24*b^13))^(5/8))/(83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)) + 3*sqrt(2)*(a^7*b^2*x^4 - 2*a^5*b^3*x^2 + a^3*b^4)*((83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)/(a^24*b^13))^(1/8)*log(a^18*b^10*((83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)/(a^24*b^13))^(3/4) + sqrt(2)*(166375*a^15*b^5*d^3 - 372075*a^13*b^6*c*d^2 + 277365*a^11*b^7*c^2*d - 68921*a^9*b^8*c^3)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*((83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)/(a^24*b^13))^(3/8) + (27680640625*a^12*d^6 - 123807956250*a^10*b*c*d^5 + 230733009375*a^8*b^2*c^2*d^4 - 229334627500*a^6*b^3*c^3*d^3 + 128218905375*a^4*b^4*c^4*d^2 - 38232546330*a^2*b^5*c^5*d + 4750104241*b^6*c^6)*sqrt(a*x + sqrt(a^2*x^2 - b))) - 3*sqrt(2)*(a^7*b^2*x^4 - 2*a^5*b^3*x^2 + a^3*b^4)*((83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)/(a^24*b^13))^(1/8)*log(a^18*b^10*((83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)/(a^24*b^13))^(3/4) - sqrt(2)*(166375*a^15*b^5*d^3 - 372075*a^13*b^6*c*d^2 + 277365*a^11*b^7*c^2*d - 68921*a^9*b^8*c^3)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*((83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)/(a^24*b^13))^(3/8) + (27680640625*a^12*d^6 - 123807956250*a^10*b*c*d^5 + 230733009375*a^8*b^2*c^2*d^4 - 229334627500*a^6*b^3*c^3*d^3 + 128218905375*a^4*b^4*c^4*d^2 - 38232546330*a^2*b^5*c^5*d + 4750104241*b^6*c^6)*sqrt(a*x + sqrt(a^2*x^2 - b))) - 24*(a^7*b^2*x^4 - 2*a^5*b^3*x^2 + a^3*b^4)*((83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)/(a^24*b^13))^(1/8)*arctan((sqrt(a^18*b^10*((83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)/(a^24*b^13))^(3/4) + (27680640625*a^12*d^6 - 123807956250*a^10*b*c*d^5 + 230733009375*a^8*b^2*c^2*d^4 - 229334627500*a^6*b^3*c^3*d^3 + 128218905375*a^4*b^4*c^4*d^2 - 38232546330*a^2*b^5*c^5*d + 4750104241*b^6*c^6)*sqrt(a*x + sqrt(a^2*x^2 - b)))*a^15*b^8*((83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)/(a^24*b^13))^(5/8) - (166375*a^21*b^8*d^3 - 372075*a^19*b^9*c*d^2 + 277365*a^17*b^10*c^2*d - 68921*a^15*b^11*c^3)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*((83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)/(a^24*b^13))^(5/8))/(83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)) - 6*(a^7*b^2*x^4 - 2*a^5*b^3*x^2 + a^3*b^4)*((83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)/(a^24*b^13))^(1/8)*log(a^9*b^5*((83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)/(a^24*b^13))^(3/8) + (166375*a^6*d^3 - 372075*a^4*b*c*d^2 + 277365*a^2*b^2*c^2*d - 68921*b^3*c^3)*(a*x + sqrt(a^2*x^2 - b))^(1/4)) + 6*(a^7*b^2*x^4 - 2*a^5*b^3*x^2 + a^3*b^4)*((83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)/(a^24*b^13))^(1/8)*log(-a^9*b^5*((83733937890625*a^16*d^8 - 499358756875000*a^14*b*c*d^7 + 1302872392937500*a^12*b^2*c^2*d^6 - 1942464294925000*a^10*b^3*c^3*d^5 + 1810023547543750*a^8*b^4*c^4*d^4 - 1079432224717000*a^6*b^5*c^5*d^3 + 402333829212700*a^4*b^6*c^6*d^2 - 85691880507640*a^2*b^7*c^7*d + 7984925229121*b^8*c^8)/(a^24*b^13))^(3/8) + (166375*a^6*d^3 - 372075*a^4*b*c*d^2 + 277365*a^2*b^2*c^2*d - 68921*b^3*c^3)*(a*x + sqrt(a^2*x^2 - b))^(1/4)) + 8*(43*a^2*b^2*d + (55*a^6*d - 41*a^4*b*c)*x^4 - 53*b^3*c - 2*(49*a^4*b*d - 47*a^2*b^2*c)*x^2 - sqrt(a^2*x^2 - b)*((55*a^5*d - 41*a^3*b*c)*x^3 - 3*(29*a^3*b*d - 3*a*b^2*c)*x))*(a*x + sqrt(a^2*x^2 - b))^(3/4))/(a^7*b^2*x^4 - 2*a^5*b^3*x^2 + a^3*b^4)","B",0
3037,-1,0,0,0.000000," ","integrate(x^2/(x^4+1)/(x^6-x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3038,-1,0,0,0.000000," ","integrate(x^2/(x^4+1)/(x^6-x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3039,-1,0,0,0.000000," ","integrate((x^4-1)/(x^4+1)/(x^6-x^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3040,-1,0,0,0.000000," ","integrate((a*x^4-b)^(3/4)/(x^8+2*a*x^4-b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3041,1,3420,0,1.814611," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1)^(5/2),x, algorithm=""fricas"")","\frac{3 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \sqrt{\sqrt{2} \sqrt{-402653184 \, {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 402653184 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - \frac{1}{16} \, {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 2889\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + \frac{126153}{4} i \, \sqrt{2} + 7888896 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + \frac{548597}{4}} + 8192 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 8192 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{2}} \log\left(\frac{1}{4} \, {\left(2147483648 \, {\left(29673954056209 \, \sqrt{2} {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 24321287697380314 \, \sqrt{2}\right)} {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} + 52229567628427796752105472 \, \sqrt{2} {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} + {\left(63724331107212100370432 \, \sqrt{2} {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 57152035512258534 \, \sqrt{2} {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 17015803710063315259 \, \sqrt{2}\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} - 4 \, \sqrt{-402653184 \, {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 402653184 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - \frac{1}{16} \, {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 2889\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + \frac{126153}{4} i \, \sqrt{2} + 7888896 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + \frac{548597}{4}} {\left({\left(3887287981363379 i \, \sqrt{2} + 972356126513856512 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 52897305453509581\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 3186088688356821134 i \, \sqrt{2} + 796959955267758129152 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 104295807577858357664\right)} + 17015803710063315259 \, \sqrt{2} {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 137914241548751312529152 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-402653184 \, {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 402653184 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - \frac{1}{16} \, {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 2889\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + \frac{126153}{4} i \, \sqrt{2} + 7888896 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + \frac{548597}{4}} + 8192 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 8192 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{2}} + 2263551091934532801669435 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 3 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \sqrt{\sqrt{2} \sqrt{-402653184 \, {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 402653184 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - \frac{1}{16} \, {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 2889\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + \frac{126153}{4} i \, \sqrt{2} + 7888896 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + \frac{548597}{4}} + 8192 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 8192 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{2}} \log\left(-\frac{1}{4} \, {\left(2147483648 \, {\left(29673954056209 \, \sqrt{2} {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 24321287697380314 \, \sqrt{2}\right)} {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} + 52229567628427796752105472 \, \sqrt{2} {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} + {\left(63724331107212100370432 \, \sqrt{2} {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 57152035512258534 \, \sqrt{2} {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 17015803710063315259 \, \sqrt{2}\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} - 4 \, \sqrt{-402653184 \, {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 402653184 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - \frac{1}{16} \, {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 2889\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + \frac{126153}{4} i \, \sqrt{2} + 7888896 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + \frac{548597}{4}} {\left({\left(3887287981363379 i \, \sqrt{2} + 972356126513856512 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 52897305453509581\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 3186088688356821134 i \, \sqrt{2} + 796959955267758129152 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 104295807577858357664\right)} + 17015803710063315259 \, \sqrt{2} {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 137914241548751312529152 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-402653184 \, {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 402653184 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - \frac{1}{16} \, {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 2889\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + \frac{126153}{4} i \, \sqrt{2} + 7888896 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + \frac{548597}{4}} + 8192 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 8192 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{2}} + 2263551091934532801669435 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 3 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \sqrt{-\sqrt{2} \sqrt{-402653184 \, {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 402653184 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - \frac{1}{16} \, {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 2889\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + \frac{126153}{4} i \, \sqrt{2} + 7888896 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + \frac{548597}{4}} + 8192 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 8192 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{2}} \log\left(\frac{1}{4} \, {\left(2147483648 \, {\left(29673954056209 \, \sqrt{2} {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 24321287697380314 \, \sqrt{2}\right)} {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} + 52229567628427796752105472 \, \sqrt{2} {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} + {\left(63724331107212100370432 \, \sqrt{2} {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 57152035512258534 \, \sqrt{2} {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 17015803710063315259 \, \sqrt{2}\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 4 \, \sqrt{-402653184 \, {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 402653184 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - \frac{1}{16} \, {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 2889\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + \frac{126153}{4} i \, \sqrt{2} + 7888896 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + \frac{548597}{4}} {\left({\left(3887287981363379 i \, \sqrt{2} + 972356126513856512 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 52897305453509581\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 3186088688356821134 i \, \sqrt{2} + 796959955267758129152 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 104295807577858357664\right)} + 17015803710063315259 \, \sqrt{2} {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 137914241548751312529152 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-402653184 \, {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 402653184 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - \frac{1}{16} \, {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 2889\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + \frac{126153}{4} i \, \sqrt{2} + 7888896 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + \frac{548597}{4}} + 8192 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 8192 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{2}} + 2263551091934532801669435 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 3 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \sqrt{-\sqrt{2} \sqrt{-402653184 \, {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 402653184 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - \frac{1}{16} \, {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 2889\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + \frac{126153}{4} i \, \sqrt{2} + 7888896 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + \frac{548597}{4}} + 8192 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 8192 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{2}} \log\left(-\frac{1}{4} \, {\left(2147483648 \, {\left(29673954056209 \, \sqrt{2} {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 24321287697380314 \, \sqrt{2}\right)} {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} + 52229567628427796752105472 \, \sqrt{2} {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} + {\left(63724331107212100370432 \, \sqrt{2} {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 57152035512258534 \, \sqrt{2} {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 17015803710063315259 \, \sqrt{2}\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 4 \, \sqrt{-402653184 \, {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 402653184 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - \frac{1}{16} \, {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 2889\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + \frac{126153}{4} i \, \sqrt{2} + 7888896 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + \frac{548597}{4}} {\left({\left(3887287981363379 i \, \sqrt{2} + 972356126513856512 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 52897305453509581\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 3186088688356821134 i \, \sqrt{2} + 796959955267758129152 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 104295807577858357664\right)} + 17015803710063315259 \, \sqrt{2} {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 137914241548751312529152 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-402653184 \, {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 402653184 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - \frac{1}{16} \, {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 2889\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + \frac{126153}{4} i \, \sqrt{2} + 7888896 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + \frac{548597}{4}} + 8192 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 8192 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{2}} + 2263551091934532801669435 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 768 \, {\left(x^{4} + 2 \, x^{2} + 1\right)} \sqrt{\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}} \log\left(128 \, {\left(2147483648 \, {\left(3887287981363379 i \, \sqrt{2} + 972356126513856512 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 52897305453509581\right)} {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 4176237763442252209876631552 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{3} - 245466123424981010626904064 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} + {\left(63724331107212100370432 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 7486916652105867954 i \, \sqrt{2} - 1872757899665687642112 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 38021606488241652983\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 8682296579254920630290 i \, \sqrt{2} + 2171767132129963658117120 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 73802131019016954849564\right)} \sqrt{\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}} + 2263551091934532801669435 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 768 \, {\left(x^{4} + 2 \, x^{2} + 1\right)} \sqrt{\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}} \log\left(-128 \, {\left(2147483648 \, {\left(3887287981363379 i \, \sqrt{2} + 972356126513856512 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 52897305453509581\right)} {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 4176237763442252209876631552 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{3} - 245466123424981010626904064 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} + {\left(63724331107212100370432 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 7486916652105867954 i \, \sqrt{2} - 1872757899665687642112 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 38021606488241652983\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 8682296579254920630290 i \, \sqrt{2} + 2171767132129963658117120 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 73802131019016954849564\right)} \sqrt{\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}} + 2263551091934532801669435 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 768 \, {\left(x^{4} + 2 \, x^{2} + 1\right)} \sqrt{-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}} \log\left(128 \, {\left(4176237763442252209876631552 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{3} + 297695691053408807379009536 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 6453226293236626331361 i \, \sqrt{2} - 1614193276158608943710208 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 193724940499278202752967\right)} \sqrt{-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}} + 2263551091934532801669435 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 768 \, {\left(x^{4} + 2 \, x^{2} + 1\right)} \sqrt{-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}} \log\left(-128 \, {\left(4176237763442252209876631552 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{3} + 297695691053408807379009536 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 6453226293236626331361 i \, \sqrt{2} - 1614193276158608943710208 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 193724940499278202752967\right)} \sqrt{-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}} + 2263551091934532801669435 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 4 \, {\left(121 \, x^{4} + 4 \, x^{3} + 238 \, x^{2} - {\left(121 \, x^{3} - x^{2} + 185 \, x - 1\right)} \sqrt{x^{2} + 1} + 2 \, {\left(2 \, x^{4} - 2 \, x^{3} + 2 \, x^{2} - {\left(2 \, x^{3} + x^{2} + 2 \, x + 1\right)} \sqrt{x^{2} + 1} - 2 \, x\right)} \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, x + 117\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{768 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"1/768*(3*sqrt(2)*(x^4 + 2*x^2 + 1)*sqrt(sqrt(2)*sqrt(-402653184*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 402653184*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 1/16*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 2889)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 126153/4*I*sqrt(2) + 7888896*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 548597/4) + 8192*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 8192*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/2)*log(1/4*(2147483648*(29673954056209*sqrt(2)*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 24321287697380314*sqrt(2))*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 + 52229567628427796752105472*sqrt(2)*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 + (63724331107212100370432*sqrt(2)*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 57152035512258534*sqrt(2)*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 17015803710063315259*sqrt(2))*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) - 4*sqrt(-402653184*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 402653184*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 1/16*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 2889)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 126153/4*I*sqrt(2) + 7888896*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 548597/4)*((3887287981363379*I*sqrt(2) + 972356126513856512*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 52897305453509581)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 3186088688356821134*I*sqrt(2) + 796959955267758129152*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 104295807577858357664) + 17015803710063315259*sqrt(2)*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 137914241548751312529152*sqrt(2))*sqrt(sqrt(2)*sqrt(-402653184*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 402653184*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 1/16*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 2889)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 126153/4*I*sqrt(2) + 7888896*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 548597/4) + 8192*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 8192*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/2) + 2263551091934532801669435*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 3*sqrt(2)*(x^4 + 2*x^2 + 1)*sqrt(sqrt(2)*sqrt(-402653184*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 402653184*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 1/16*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 2889)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 126153/4*I*sqrt(2) + 7888896*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 548597/4) + 8192*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 8192*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/2)*log(-1/4*(2147483648*(29673954056209*sqrt(2)*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 24321287697380314*sqrt(2))*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 + 52229567628427796752105472*sqrt(2)*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 + (63724331107212100370432*sqrt(2)*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 57152035512258534*sqrt(2)*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 17015803710063315259*sqrt(2))*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) - 4*sqrt(-402653184*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 402653184*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 1/16*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 2889)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 126153/4*I*sqrt(2) + 7888896*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 548597/4)*((3887287981363379*I*sqrt(2) + 972356126513856512*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 52897305453509581)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 3186088688356821134*I*sqrt(2) + 796959955267758129152*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 104295807577858357664) + 17015803710063315259*sqrt(2)*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 137914241548751312529152*sqrt(2))*sqrt(sqrt(2)*sqrt(-402653184*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 402653184*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 1/16*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 2889)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 126153/4*I*sqrt(2) + 7888896*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 548597/4) + 8192*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 8192*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/2) + 2263551091934532801669435*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 3*sqrt(2)*(x^4 + 2*x^2 + 1)*sqrt(-sqrt(2)*sqrt(-402653184*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 402653184*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 1/16*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 2889)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 126153/4*I*sqrt(2) + 7888896*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 548597/4) + 8192*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 8192*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/2)*log(1/4*(2147483648*(29673954056209*sqrt(2)*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 24321287697380314*sqrt(2))*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 + 52229567628427796752105472*sqrt(2)*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 + (63724331107212100370432*sqrt(2)*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 57152035512258534*sqrt(2)*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 17015803710063315259*sqrt(2))*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 4*sqrt(-402653184*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 402653184*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 1/16*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 2889)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 126153/4*I*sqrt(2) + 7888896*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 548597/4)*((3887287981363379*I*sqrt(2) + 972356126513856512*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 52897305453509581)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 3186088688356821134*I*sqrt(2) + 796959955267758129152*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 104295807577858357664) + 17015803710063315259*sqrt(2)*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 137914241548751312529152*sqrt(2))*sqrt(-sqrt(2)*sqrt(-402653184*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 402653184*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 1/16*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 2889)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 126153/4*I*sqrt(2) + 7888896*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 548597/4) + 8192*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 8192*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/2) + 2263551091934532801669435*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 3*sqrt(2)*(x^4 + 2*x^2 + 1)*sqrt(-sqrt(2)*sqrt(-402653184*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 402653184*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 1/16*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 2889)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 126153/4*I*sqrt(2) + 7888896*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 548597/4) + 8192*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 8192*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/2)*log(-1/4*(2147483648*(29673954056209*sqrt(2)*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 24321287697380314*sqrt(2))*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 + 52229567628427796752105472*sqrt(2)*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 + (63724331107212100370432*sqrt(2)*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 57152035512258534*sqrt(2)*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 17015803710063315259*sqrt(2))*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 4*sqrt(-402653184*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 402653184*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 1/16*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 2889)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 126153/4*I*sqrt(2) + 7888896*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 548597/4)*((3887287981363379*I*sqrt(2) + 972356126513856512*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 52897305453509581)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 3186088688356821134*I*sqrt(2) + 796959955267758129152*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 104295807577858357664) + 17015803710063315259*sqrt(2)*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 137914241548751312529152*sqrt(2))*sqrt(-sqrt(2)*sqrt(-402653184*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 402653184*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 1/16*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 2889)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 126153/4*I*sqrt(2) + 7888896*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 548597/4) + 8192*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 8192*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/2) + 2263551091934532801669435*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 768*(x^4 + 2*x^2 + 1)*sqrt(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)*log(128*(2147483648*(3887287981363379*I*sqrt(2) + 972356126513856512*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 52897305453509581)*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 4176237763442252209876631552*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^3 - 245466123424981010626904064*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 + (63724331107212100370432*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 7486916652105867954*I*sqrt(2) - 1872757899665687642112*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 38021606488241652983)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 8682296579254920630290*I*sqrt(2) + 2171767132129963658117120*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 73802131019016954849564)*sqrt(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536) + 2263551091934532801669435*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 768*(x^4 + 2*x^2 + 1)*sqrt(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)*log(-128*(2147483648*(3887287981363379*I*sqrt(2) + 972356126513856512*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 52897305453509581)*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 4176237763442252209876631552*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^3 - 245466123424981010626904064*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 + (63724331107212100370432*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 7486916652105867954*I*sqrt(2) - 1872757899665687642112*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 38021606488241652983)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 8682296579254920630290*I*sqrt(2) + 2171767132129963658117120*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 73802131019016954849564)*sqrt(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536) + 2263551091934532801669435*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 768*(x^4 + 2*x^2 + 1)*sqrt(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)*log(128*(4176237763442252209876631552*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^3 + 297695691053408807379009536*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 6453226293236626331361*I*sqrt(2) - 1614193276158608943710208*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 193724940499278202752967)*sqrt(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536) + 2263551091934532801669435*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 768*(x^4 + 2*x^2 + 1)*sqrt(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)*log(-128*(4176237763442252209876631552*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^3 + 297695691053408807379009536*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 6453226293236626331361*I*sqrt(2) - 1614193276158608943710208*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 193724940499278202752967)*sqrt(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536) + 2263551091934532801669435*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 4*(121*x^4 + 4*x^3 + 238*x^2 - (121*x^3 - x^2 + 185*x - 1)*sqrt(x^2 + 1) + 2*(2*x^4 - 2*x^3 + 2*x^2 - (2*x^3 + x^2 + 2*x + 1)*sqrt(x^2 + 1) - 2*x)*sqrt(x + sqrt(x^2 + 1)) + 4*x + 117)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^4 + 2*x^2 + 1)","B",0
3042,1,3420,0,1.630019," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1)^(5/2),x, algorithm=""fricas"")","\frac{3 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \sqrt{\sqrt{2} \sqrt{-402653184 \, {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 402653184 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - \frac{1}{16} \, {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 2889\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + \frac{126153}{4} i \, \sqrt{2} + 7888896 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + \frac{548597}{4}} + 8192 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 8192 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{2}} \log\left(\frac{1}{4} \, {\left(2147483648 \, {\left(29673954056209 \, \sqrt{2} {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 24321287697380314 \, \sqrt{2}\right)} {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} + 52229567628427796752105472 \, \sqrt{2} {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} + {\left(63724331107212100370432 \, \sqrt{2} {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 57152035512258534 \, \sqrt{2} {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 17015803710063315259 \, \sqrt{2}\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} - 4 \, \sqrt{-402653184 \, {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 402653184 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - \frac{1}{16} \, {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 2889\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + \frac{126153}{4} i \, \sqrt{2} + 7888896 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + \frac{548597}{4}} {\left({\left(3887287981363379 i \, \sqrt{2} + 972356126513856512 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 52897305453509581\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 3186088688356821134 i \, \sqrt{2} + 796959955267758129152 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 104295807577858357664\right)} + 17015803710063315259 \, \sqrt{2} {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 137914241548751312529152 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-402653184 \, {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 402653184 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - \frac{1}{16} \, {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 2889\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + \frac{126153}{4} i \, \sqrt{2} + 7888896 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + \frac{548597}{4}} + 8192 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 8192 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{2}} + 2263551091934532801669435 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 3 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \sqrt{\sqrt{2} \sqrt{-402653184 \, {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 402653184 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - \frac{1}{16} \, {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 2889\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + \frac{126153}{4} i \, \sqrt{2} + 7888896 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + \frac{548597}{4}} + 8192 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 8192 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{2}} \log\left(-\frac{1}{4} \, {\left(2147483648 \, {\left(29673954056209 \, \sqrt{2} {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 24321287697380314 \, \sqrt{2}\right)} {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} + 52229567628427796752105472 \, \sqrt{2} {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} + {\left(63724331107212100370432 \, \sqrt{2} {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 57152035512258534 \, \sqrt{2} {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 17015803710063315259 \, \sqrt{2}\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} - 4 \, \sqrt{-402653184 \, {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 402653184 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - \frac{1}{16} \, {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 2889\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + \frac{126153}{4} i \, \sqrt{2} + 7888896 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + \frac{548597}{4}} {\left({\left(3887287981363379 i \, \sqrt{2} + 972356126513856512 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 52897305453509581\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 3186088688356821134 i \, \sqrt{2} + 796959955267758129152 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 104295807577858357664\right)} + 17015803710063315259 \, \sqrt{2} {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 137914241548751312529152 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-402653184 \, {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 402653184 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - \frac{1}{16} \, {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 2889\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + \frac{126153}{4} i \, \sqrt{2} + 7888896 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + \frac{548597}{4}} + 8192 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 8192 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{2}} + 2263551091934532801669435 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 3 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \sqrt{-\sqrt{2} \sqrt{-402653184 \, {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 402653184 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - \frac{1}{16} \, {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 2889\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + \frac{126153}{4} i \, \sqrt{2} + 7888896 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + \frac{548597}{4}} + 8192 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 8192 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{2}} \log\left(\frac{1}{4} \, {\left(2147483648 \, {\left(29673954056209 \, \sqrt{2} {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 24321287697380314 \, \sqrt{2}\right)} {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} + 52229567628427796752105472 \, \sqrt{2} {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} + {\left(63724331107212100370432 \, \sqrt{2} {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 57152035512258534 \, \sqrt{2} {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 17015803710063315259 \, \sqrt{2}\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 4 \, \sqrt{-402653184 \, {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 402653184 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - \frac{1}{16} \, {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 2889\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + \frac{126153}{4} i \, \sqrt{2} + 7888896 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + \frac{548597}{4}} {\left({\left(3887287981363379 i \, \sqrt{2} + 972356126513856512 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 52897305453509581\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 3186088688356821134 i \, \sqrt{2} + 796959955267758129152 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 104295807577858357664\right)} + 17015803710063315259 \, \sqrt{2} {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 137914241548751312529152 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-402653184 \, {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 402653184 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - \frac{1}{16} \, {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 2889\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + \frac{126153}{4} i \, \sqrt{2} + 7888896 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + \frac{548597}{4}} + 8192 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 8192 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{2}} + 2263551091934532801669435 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 3 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 1\right)} \sqrt{-\sqrt{2} \sqrt{-402653184 \, {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 402653184 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - \frac{1}{16} \, {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 2889\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + \frac{126153}{4} i \, \sqrt{2} + 7888896 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + \frac{548597}{4}} + 8192 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 8192 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{2}} \log\left(-\frac{1}{4} \, {\left(2147483648 \, {\left(29673954056209 \, \sqrt{2} {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 24321287697380314 \, \sqrt{2}\right)} {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} + 52229567628427796752105472 \, \sqrt{2} {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} + {\left(63724331107212100370432 \, \sqrt{2} {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 57152035512258534 \, \sqrt{2} {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 17015803710063315259 \, \sqrt{2}\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 4 \, \sqrt{-402653184 \, {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 402653184 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - \frac{1}{16} \, {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 2889\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + \frac{126153}{4} i \, \sqrt{2} + 7888896 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + \frac{548597}{4}} {\left({\left(3887287981363379 i \, \sqrt{2} + 972356126513856512 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 52897305453509581\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 3186088688356821134 i \, \sqrt{2} + 796959955267758129152 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 104295807577858357664\right)} + 17015803710063315259 \, \sqrt{2} {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 137914241548751312529152 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-402653184 \, {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 402653184 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - \frac{1}{16} \, {\left(131 i \, \sqrt{2} + 32768 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 2889\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + \frac{126153}{4} i \, \sqrt{2} + 7888896 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + \frac{548597}{4}} + 8192 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 8192 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{2}} + 2263551091934532801669435 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 768 \, {\left(x^{4} + 2 \, x^{2} + 1\right)} \sqrt{\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}} \log\left(128 \, {\left(2147483648 \, {\left(3887287981363379 i \, \sqrt{2} + 972356126513856512 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 52897305453509581\right)} {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 4176237763442252209876631552 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{3} - 245466123424981010626904064 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} + {\left(63724331107212100370432 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 7486916652105867954 i \, \sqrt{2} - 1872757899665687642112 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 38021606488241652983\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 8682296579254920630290 i \, \sqrt{2} + 2171767132129963658117120 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 73802131019016954849564\right)} \sqrt{\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}} + 2263551091934532801669435 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 768 \, {\left(x^{4} + 2 \, x^{2} + 1\right)} \sqrt{\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}} \log\left(-128 \, {\left(2147483648 \, {\left(3887287981363379 i \, \sqrt{2} + 972356126513856512 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 52897305453509581\right)} {\left(\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 4176237763442252209876631552 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{3} - 245466123424981010626904064 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} + {\left(63724331107212100370432 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 7486916652105867954 i \, \sqrt{2} - 1872757899665687642112 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 38021606488241652983\right)} {\left(-131 i \, \sqrt{2} + 32768 \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} + 963\right)} + 8682296579254920630290 i \, \sqrt{2} + 2171767132129963658117120 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 73802131019016954849564\right)} \sqrt{\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}} + 2263551091934532801669435 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 768 \, {\left(x^{4} + 2 \, x^{2} + 1\right)} \sqrt{-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}} \log\left(128 \, {\left(4176237763442252209876631552 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{3} + 297695691053408807379009536 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 6453226293236626331361 i \, \sqrt{2} - 1614193276158608943710208 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 193724940499278202752967\right)} \sqrt{-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}} + 2263551091934532801669435 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 768 \, {\left(x^{4} + 2 \, x^{2} + 1\right)} \sqrt{-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}} \log\left(-128 \, {\left(4176237763442252209876631552 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{3} + 297695691053408807379009536 \, {\left(-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}\right)}^{2} - 6453226293236626331361 i \, \sqrt{2} - 1614193276158608943710208 \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - 193724940499278202752967\right)} \sqrt{-\frac{131}{65536} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{487277}{268435456} i \, \sqrt{2} + \frac{582919}{1073741824}} - \frac{963}{65536}} + 2263551091934532801669435 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 4 \, {\left(121 \, x^{4} + 4 \, x^{3} + 238 \, x^{2} - {\left(121 \, x^{3} - x^{2} + 185 \, x - 1\right)} \sqrt{x^{2} + 1} + 2 \, {\left(2 \, x^{4} - 2 \, x^{3} + 2 \, x^{2} - {\left(2 \, x^{3} + x^{2} + 2 \, x + 1\right)} \sqrt{x^{2} + 1} - 2 \, x\right)} \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, x + 117\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{768 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"1/768*(3*sqrt(2)*(x^4 + 2*x^2 + 1)*sqrt(sqrt(2)*sqrt(-402653184*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 402653184*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 1/16*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 2889)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 126153/4*I*sqrt(2) + 7888896*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 548597/4) + 8192*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 8192*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/2)*log(1/4*(2147483648*(29673954056209*sqrt(2)*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 24321287697380314*sqrt(2))*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 + 52229567628427796752105472*sqrt(2)*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 + (63724331107212100370432*sqrt(2)*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 57152035512258534*sqrt(2)*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 17015803710063315259*sqrt(2))*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) - 4*sqrt(-402653184*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 402653184*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 1/16*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 2889)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 126153/4*I*sqrt(2) + 7888896*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 548597/4)*((3887287981363379*I*sqrt(2) + 972356126513856512*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 52897305453509581)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 3186088688356821134*I*sqrt(2) + 796959955267758129152*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 104295807577858357664) + 17015803710063315259*sqrt(2)*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 137914241548751312529152*sqrt(2))*sqrt(sqrt(2)*sqrt(-402653184*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 402653184*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 1/16*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 2889)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 126153/4*I*sqrt(2) + 7888896*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 548597/4) + 8192*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 8192*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/2) + 2263551091934532801669435*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 3*sqrt(2)*(x^4 + 2*x^2 + 1)*sqrt(sqrt(2)*sqrt(-402653184*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 402653184*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 1/16*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 2889)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 126153/4*I*sqrt(2) + 7888896*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 548597/4) + 8192*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 8192*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/2)*log(-1/4*(2147483648*(29673954056209*sqrt(2)*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 24321287697380314*sqrt(2))*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 + 52229567628427796752105472*sqrt(2)*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 + (63724331107212100370432*sqrt(2)*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 57152035512258534*sqrt(2)*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 17015803710063315259*sqrt(2))*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) - 4*sqrt(-402653184*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 402653184*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 1/16*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 2889)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 126153/4*I*sqrt(2) + 7888896*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 548597/4)*((3887287981363379*I*sqrt(2) + 972356126513856512*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 52897305453509581)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 3186088688356821134*I*sqrt(2) + 796959955267758129152*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 104295807577858357664) + 17015803710063315259*sqrt(2)*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 137914241548751312529152*sqrt(2))*sqrt(sqrt(2)*sqrt(-402653184*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 402653184*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 1/16*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 2889)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 126153/4*I*sqrt(2) + 7888896*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 548597/4) + 8192*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 8192*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/2) + 2263551091934532801669435*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 3*sqrt(2)*(x^4 + 2*x^2 + 1)*sqrt(-sqrt(2)*sqrt(-402653184*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 402653184*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 1/16*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 2889)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 126153/4*I*sqrt(2) + 7888896*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 548597/4) + 8192*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 8192*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/2)*log(1/4*(2147483648*(29673954056209*sqrt(2)*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 24321287697380314*sqrt(2))*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 + 52229567628427796752105472*sqrt(2)*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 + (63724331107212100370432*sqrt(2)*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 57152035512258534*sqrt(2)*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 17015803710063315259*sqrt(2))*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 4*sqrt(-402653184*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 402653184*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 1/16*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 2889)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 126153/4*I*sqrt(2) + 7888896*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 548597/4)*((3887287981363379*I*sqrt(2) + 972356126513856512*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 52897305453509581)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 3186088688356821134*I*sqrt(2) + 796959955267758129152*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 104295807577858357664) + 17015803710063315259*sqrt(2)*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 137914241548751312529152*sqrt(2))*sqrt(-sqrt(2)*sqrt(-402653184*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 402653184*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 1/16*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 2889)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 126153/4*I*sqrt(2) + 7888896*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 548597/4) + 8192*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 8192*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/2) + 2263551091934532801669435*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 3*sqrt(2)*(x^4 + 2*x^2 + 1)*sqrt(-sqrt(2)*sqrt(-402653184*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 402653184*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 1/16*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 2889)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 126153/4*I*sqrt(2) + 7888896*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 548597/4) + 8192*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 8192*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/2)*log(-1/4*(2147483648*(29673954056209*sqrt(2)*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 24321287697380314*sqrt(2))*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 + 52229567628427796752105472*sqrt(2)*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 + (63724331107212100370432*sqrt(2)*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 57152035512258534*sqrt(2)*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 17015803710063315259*sqrt(2))*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 4*sqrt(-402653184*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 402653184*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 1/16*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 2889)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 126153/4*I*sqrt(2) + 7888896*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 548597/4)*((3887287981363379*I*sqrt(2) + 972356126513856512*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 52897305453509581)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 3186088688356821134*I*sqrt(2) + 796959955267758129152*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 104295807577858357664) + 17015803710063315259*sqrt(2)*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 137914241548751312529152*sqrt(2))*sqrt(-sqrt(2)*sqrt(-402653184*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 402653184*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 1/16*(131*I*sqrt(2) + 32768*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 2889)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 126153/4*I*sqrt(2) + 7888896*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 548597/4) + 8192*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 8192*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/2) + 2263551091934532801669435*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 768*(x^4 + 2*x^2 + 1)*sqrt(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)*log(128*(2147483648*(3887287981363379*I*sqrt(2) + 972356126513856512*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 52897305453509581)*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 4176237763442252209876631552*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^3 - 245466123424981010626904064*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 + (63724331107212100370432*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 7486916652105867954*I*sqrt(2) - 1872757899665687642112*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 38021606488241652983)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 8682296579254920630290*I*sqrt(2) + 2171767132129963658117120*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 73802131019016954849564)*sqrt(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536) + 2263551091934532801669435*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 768*(x^4 + 2*x^2 + 1)*sqrt(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)*log(-128*(2147483648*(3887287981363379*I*sqrt(2) + 972356126513856512*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) + 52897305453509581)*(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 4176237763442252209876631552*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^3 - 245466123424981010626904064*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 + (63724331107212100370432*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 7486916652105867954*I*sqrt(2) - 1872757899665687642112*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 38021606488241652983)*(-131*I*sqrt(2) + 32768*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) + 963) + 8682296579254920630290*I*sqrt(2) + 2171767132129963658117120*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 73802131019016954849564)*sqrt(131/65536*I*sqrt(2) - 1/2*sqrt(-487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536) + 2263551091934532801669435*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 768*(x^4 + 2*x^2 + 1)*sqrt(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)*log(128*(4176237763442252209876631552*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^3 + 297695691053408807379009536*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 6453226293236626331361*I*sqrt(2) - 1614193276158608943710208*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 193724940499278202752967)*sqrt(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536) + 2263551091934532801669435*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 768*(x^4 + 2*x^2 + 1)*sqrt(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)*log(-128*(4176237763442252209876631552*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^3 + 297695691053408807379009536*(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536)^2 - 6453226293236626331361*I*sqrt(2) - 1614193276158608943710208*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 193724940499278202752967)*sqrt(-131/65536*I*sqrt(2) - 1/2*sqrt(487277/268435456*I*sqrt(2) + 582919/1073741824) - 963/65536) + 2263551091934532801669435*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 4*(121*x^4 + 4*x^3 + 238*x^2 - (121*x^3 - x^2 + 185*x - 1)*sqrt(x^2 + 1) + 2*(2*x^4 - 2*x^3 + 2*x^2 - (2*x^3 + x^2 + 2*x + 1)*sqrt(x^2 + 1) - 2*x)*sqrt(x + sqrt(x^2 + 1)) + 4*x + 117)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^4 + 2*x^2 + 1)","B",0
3043,-1,0,0,0.000000," ","integrate(x^2*(a*x+b)^(1/2)/(x^2-(a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3044,-1,0,0,0.000000," ","integrate(x^2*(a*x+b)^(1/2)/(x^2-(a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3045,1,535,0,0.766044," ","integrate((a^2*x^2+b)^(1/2)*(a*x+(a^2*x^2+b)^(1/2))^(1/2)*(c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{3465 \, b^{2} \sqrt{c} \log\left(2 \, {\left(a \sqrt{c} x - \sqrt{a^{2} x^{2} + b} \sqrt{c}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}} - 2 \, {\left(a c x - \sqrt{a^{2} x^{2} + b} c\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} + b\right) + 2 \, {\left(2048 \, c^{8} + 1120 \, a^{2} c^{4} x^{2} + 37520 \, b c^{4} + 6 \, {\left(128 \, a c^{6} + 385 \, a b c^{2}\right)} x + 2 \, {\left(384 \, c^{6} + 560 \, a c^{4} x - 1155 \, b c^{2}\right)} \sqrt{a^{2} x^{2} + b} - {\left(1024 \, c^{7} + 8400 \, a^{2} c^{3} x^{2} - 32760 \, b c^{3} + 5 \, {\left(128 \, a c^{5} + 693 \, a b c\right)} x + 5 \, {\left(128 \, c^{5} - 5712 \, a c^{3} x - 693 \, b c\right)} \sqrt{a^{2} x^{2} + b}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{110880 \, a c^{3}}, \frac{3465 \, b^{2} \sqrt{-c} \arctan\left(\frac{\sqrt{-c} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{c}\right) + {\left(2048 \, c^{8} + 1120 \, a^{2} c^{4} x^{2} + 37520 \, b c^{4} + 6 \, {\left(128 \, a c^{6} + 385 \, a b c^{2}\right)} x + 2 \, {\left(384 \, c^{6} + 560 \, a c^{4} x - 1155 \, b c^{2}\right)} \sqrt{a^{2} x^{2} + b} - {\left(1024 \, c^{7} + 8400 \, a^{2} c^{3} x^{2} - 32760 \, b c^{3} + 5 \, {\left(128 \, a c^{5} + 693 \, a b c\right)} x + 5 \, {\left(128 \, c^{5} - 5712 \, a c^{3} x - 693 \, b c\right)} \sqrt{a^{2} x^{2} + b}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{55440 \, a c^{3}}\right]"," ",0,"[1/110880*(3465*b^2*sqrt(c)*log(2*(a*sqrt(c)*x - sqrt(a^2*x^2 + b)*sqrt(c))*sqrt(a*x + sqrt(a^2*x^2 + b))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b))) - 2*(a*c*x - sqrt(a^2*x^2 + b)*c)*sqrt(a*x + sqrt(a^2*x^2 + b)) + b) + 2*(2048*c^8 + 1120*a^2*c^4*x^2 + 37520*b*c^4 + 6*(128*a*c^6 + 385*a*b*c^2)*x + 2*(384*c^6 + 560*a*c^4*x - 1155*b*c^2)*sqrt(a^2*x^2 + b) - (1024*c^7 + 8400*a^2*c^3*x^2 - 32760*b*c^3 + 5*(128*a*c^5 + 693*a*b*c)*x + 5*(128*c^5 - 5712*a*c^3*x - 693*b*c)*sqrt(a^2*x^2 + b))*sqrt(a*x + sqrt(a^2*x^2 + b)))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b))))/(a*c^3), 1/55440*(3465*b^2*sqrt(-c)*arctan(sqrt(-c)*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))/c) + (2048*c^8 + 1120*a^2*c^4*x^2 + 37520*b*c^4 + 6*(128*a*c^6 + 385*a*b*c^2)*x + 2*(384*c^6 + 560*a*c^4*x - 1155*b*c^2)*sqrt(a^2*x^2 + b) - (1024*c^7 + 8400*a^2*c^3*x^2 - 32760*b*c^3 + 5*(128*a*c^5 + 693*a*b*c)*x + 5*(128*c^5 - 5712*a*c^3*x - 693*b*c)*sqrt(a^2*x^2 + b))*sqrt(a*x + sqrt(a^2*x^2 + b)))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b))))/(a*c^3)]","A",0
3046,-1,0,0,0.000000," ","integrate(x^4/(a*x^4+b)^(1/4)/(2*x^8+2*a*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3047,-1,0,0,0.000000," ","integrate(x^4*(p*x^4-q)*(p*x^4+q)^(1/2)/(b*x^8+a*(p*x^4+q)^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3048,1,3411,0,0.977106," ","integrate(1/(-3*x^10+x^9-9*x^7+3*x^6-9*x^4+3*x^3-3*x+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{42} \cdot 28^{\frac{1}{6}} 14^{\frac{2}{3}} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) \log\left(\frac{7 \, {\left(8 \cdot 28^{\frac{1}{3}} 14^{\frac{1}{3}} \sqrt{3} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) + 16 \cdot 28^{\frac{1}{3}} 14^{\frac{1}{3}} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)^{2} + 28^{\frac{2}{3}} 14^{\frac{2}{3}} {\left(x^{6} + 2 \, x^{3} + 1\right)} - 8 \cdot 28^{\frac{1}{3}} 14^{\frac{1}{3}} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)} + 28 \, {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{2}{3}}\right)}}{x^{6} + 2 \, x^{3} + 1}\right) + \frac{2}{21} \cdot 28^{\frac{1}{6}} 14^{\frac{2}{3}} \arctan\left(-\frac{28 \cdot 28^{\frac{2}{3}} 14^{\frac{2}{3}} \sqrt{3} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)^{2} - 14 \cdot 28^{\frac{2}{3}} 14^{\frac{2}{3}} \sqrt{3} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} - \sqrt{7} {\left(2 \cdot 28^{\frac{2}{3}} 14^{\frac{2}{3}} \sqrt{3} {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)^{2} + 4 \cdot 28^{\frac{2}{3}} 14^{\frac{2}{3}} {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) - 28^{\frac{2}{3}} 14^{\frac{2}{3}} \sqrt{3} {\left(x^{3} + 1\right)}\right)} \sqrt{\frac{8 \cdot 28^{\frac{1}{3}} 14^{\frac{1}{3}} \sqrt{3} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) + 16 \cdot 28^{\frac{1}{3}} 14^{\frac{1}{3}} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)^{2} + 28^{\frac{2}{3}} 14^{\frac{2}{3}} {\left(x^{6} + 2 \, x^{3} + 1\right)} - 8 \cdot 28^{\frac{1}{3}} 14^{\frac{1}{3}} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)} + 28 \, {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{2}{3}}}{x^{6} + 2 \, x^{3} + 1}} + 56 \, {\left(196 \, {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)^{3} - {\left(98 \, x^{3} - 28^{\frac{2}{3}} 14^{\frac{2}{3}} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} + 98\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) + 784 \, \sqrt{3} {\left(x^{3} + 1\right)}}{392 \, {\left(28 \, {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)^{4} + 3 \, x^{3} - 28 \, {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)^{2} + 3\right)}}\right) \sin\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) - \frac{1}{21} \, {\left(28^{\frac{1}{6}} 14^{\frac{2}{3}} \sqrt{3} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) + 28^{\frac{1}{6}} 14^{\frac{2}{3}} \sin\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)\right)} \arctan\left(\frac{84 \cdot 28^{\frac{2}{3}} 14^{\frac{2}{3}} \sqrt{3} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)^{2} - 42 \cdot 28^{\frac{2}{3}} 14^{\frac{2}{3}} \sqrt{3} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} - \sqrt{7} {\left(6 \cdot 28^{\frac{2}{3}} 14^{\frac{2}{3}} \sqrt{3} {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)^{2} - 2 \cdot 28^{\frac{2}{3}} 14^{\frac{2}{3}} {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) - 3 \cdot 28^{\frac{2}{3}} 14^{\frac{2}{3}} \sqrt{3} {\left(x^{3} + 1\right)}\right)} \sqrt{-\frac{12 \cdot 28^{\frac{1}{3}} 14^{\frac{1}{3}} \sqrt{3} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) - 4 \cdot 28^{\frac{1}{3}} 14^{\frac{1}{3}} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)^{2} - 28^{\frac{2}{3}} 14^{\frac{2}{3}} {\left(x^{6} + 2 \, x^{3} + 1\right)} + 2 \cdot 28^{\frac{1}{3}} 14^{\frac{1}{3}} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)} - 28 \, {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{2}{3}}}{x^{6} + 2 \, x^{3} + 1}} - 28 \, {\left(784 \, {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)^{3} - {\left(392 \, x^{3} - 28^{\frac{2}{3}} 14^{\frac{2}{3}} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} + 392\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) + 588 \, \sqrt{3} {\left(x^{3} + 1\right)}}{196 \, {\left(112 \, {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)^{4} + 27 \, x^{3} - 112 \, {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)^{2} + 27\right)}}\right) - \frac{1}{21} \, {\left(28^{\frac{1}{6}} 14^{\frac{2}{3}} \sqrt{3} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) - 28^{\frac{1}{6}} 14^{\frac{2}{3}} \sin\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)\right)} \arctan\left(\frac{28 \cdot 28^{\frac{2}{3}} 14^{\frac{2}{3}} \sqrt{3} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)^{2} - 14 \cdot 28^{\frac{2}{3}} 14^{\frac{2}{3}} \sqrt{3} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} - \sqrt{7} {\left(2 \cdot 28^{\frac{2}{3}} 14^{\frac{2}{3}} \sqrt{3} {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)^{2} - 10 \cdot 28^{\frac{2}{3}} 14^{\frac{2}{3}} {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) - 28^{\frac{2}{3}} 14^{\frac{2}{3}} \sqrt{3} {\left(x^{3} + 1\right)}\right)} \sqrt{\frac{4 \cdot 28^{\frac{1}{3}} 14^{\frac{1}{3}} \sqrt{3} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) - 20 \cdot 28^{\frac{1}{3}} 14^{\frac{1}{3}} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)^{2} + 28^{\frac{2}{3}} 14^{\frac{2}{3}} {\left(x^{6} + 2 \, x^{3} + 1\right)} + 10 \cdot 28^{\frac{1}{3}} 14^{\frac{1}{3}} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)} + 28 \, {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{2}{3}}}{x^{6} + 2 \, x^{3} + 1}} + 28 \, {\left(784 \, {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)^{3} - {\left(392 \, x^{3} + 5 \cdot 28^{\frac{2}{3}} 14^{\frac{2}{3}} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} + 392\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)\right)} \sin\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) - 980 \, \sqrt{3} {\left(x^{3} + 1\right)}}{196 \, {\left(112 \, {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)^{4} + 3 \, x^{3} - 112 \, {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)^{2} + 3\right)}}\right) + \frac{1}{84} \, {\left(28^{\frac{1}{6}} 14^{\frac{2}{3}} \sqrt{3} \sin\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) - 28^{\frac{1}{6}} 14^{\frac{2}{3}} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)\right)} \log\left(-\frac{28 \, {\left(12 \cdot 28^{\frac{1}{3}} 14^{\frac{1}{3}} \sqrt{3} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) - 4 \cdot 28^{\frac{1}{3}} 14^{\frac{1}{3}} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)^{2} - 28^{\frac{2}{3}} 14^{\frac{2}{3}} {\left(x^{6} + 2 \, x^{3} + 1\right)} + 2 \cdot 28^{\frac{1}{3}} 14^{\frac{1}{3}} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)} - 28 \, {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{2}{3}}\right)}}{x^{6} + 2 \, x^{3} + 1}\right) - \frac{1}{84} \, {\left(28^{\frac{1}{6}} 14^{\frac{2}{3}} \sqrt{3} \sin\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) + 28^{\frac{1}{6}} 14^{\frac{2}{3}} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)\right)} \log\left(\frac{28 \, {\left(4 \cdot 28^{\frac{1}{3}} 14^{\frac{1}{3}} \sqrt{3} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) \sin\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right) - 20 \cdot 28^{\frac{1}{3}} 14^{\frac{1}{3}} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)} \cos\left(\frac{2}{3} \, \arctan\left(\frac{2}{9} \, \sqrt{7} \sqrt{3} + \frac{1}{9} \, \sqrt{3}\right)\right)^{2} + 28^{\frac{2}{3}} 14^{\frac{2}{3}} {\left(x^{6} + 2 \, x^{3} + 1\right)} + 10 \cdot 28^{\frac{1}{3}} 14^{\frac{1}{3}} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)} + 28 \, {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{2}{3}}\right)}}{x^{6} + 2 \, x^{3} + 1}\right) + \frac{1}{6} \cdot 4^{\frac{1}{6}} \sqrt{3} \arctan\left(\frac{4^{\frac{1}{6}} {\left(4^{\frac{1}{3}} \sqrt{3} {\left(x^{3} + 1\right)} + 2 \, \sqrt{3} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}}\right)}}{6 \, {\left(x^{3} + 1\right)}}\right) - \frac{1}{24} \cdot 4^{\frac{2}{3}} \log\left(\frac{4^{\frac{2}{3}} {\left(x^{6} + 2 \, x^{3} + 1\right)} + 4^{\frac{1}{3}} {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)} + {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{2}{3}}}{x^{6} + 2 \, x^{3} + 1}\right) + \frac{1}{12} \cdot 4^{\frac{2}{3}} \log\left(-\frac{4^{\frac{1}{3}} {\left(x^{3} + 1\right)} - {\left(-3 \, x^{10} + x^{9} - 9 \, x^{7} + 3 \, x^{6} - 9 \, x^{4} + 3 \, x^{3} - 3 \, x + 1\right)}^{\frac{1}{3}}}{x^{3} + 1}\right)"," ",0,"1/42*28^(1/6)*14^(2/3)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))*log(7*(8*28^(1/3)*14^(1/3)*sqrt(3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3)*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))*sin(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3))) + 16*28^(1/3)*14^(1/3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3)*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))^2 + 28^(2/3)*14^(2/3)*(x^6 + 2*x^3 + 1) - 8*28^(1/3)*14^(1/3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3)*(x^3 + 1) + 28*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(2/3))/(x^6 + 2*x^3 + 1)) + 2/21*28^(1/6)*14^(2/3)*arctan(-1/392*(28*28^(2/3)*14^(2/3)*sqrt(3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))^2 - 14*28^(2/3)*14^(2/3)*sqrt(3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3) - sqrt(7)*(2*28^(2/3)*14^(2/3)*sqrt(3)*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))^2 + 4*28^(2/3)*14^(2/3)*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))*sin(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3))) - 28^(2/3)*14^(2/3)*sqrt(3)*(x^3 + 1))*sqrt((8*28^(1/3)*14^(1/3)*sqrt(3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3)*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))*sin(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3))) + 16*28^(1/3)*14^(1/3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3)*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))^2 + 28^(2/3)*14^(2/3)*(x^6 + 2*x^3 + 1) - 8*28^(1/3)*14^(1/3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3)*(x^3 + 1) + 28*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(2/3))/(x^6 + 2*x^3 + 1)) + 56*(196*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))^3 - (98*x^3 - 28^(2/3)*14^(2/3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3) + 98)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3))))*sin(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3))) + 784*sqrt(3)*(x^3 + 1))/(28*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))^4 + 3*x^3 - 28*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))^2 + 3))*sin(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3))) - 1/21*(28^(1/6)*14^(2/3)*sqrt(3)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3))) + 28^(1/6)*14^(2/3)*sin(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3))))*arctan(1/196*(84*28^(2/3)*14^(2/3)*sqrt(3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))^2 - 42*28^(2/3)*14^(2/3)*sqrt(3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3) - sqrt(7)*(6*28^(2/3)*14^(2/3)*sqrt(3)*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))^2 - 2*28^(2/3)*14^(2/3)*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))*sin(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3))) - 3*28^(2/3)*14^(2/3)*sqrt(3)*(x^3 + 1))*sqrt(-(12*28^(1/3)*14^(1/3)*sqrt(3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3)*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))*sin(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3))) - 4*28^(1/3)*14^(1/3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3)*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))^2 - 28^(2/3)*14^(2/3)*(x^6 + 2*x^3 + 1) + 2*28^(1/3)*14^(1/3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3)*(x^3 + 1) - 28*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(2/3))/(x^6 + 2*x^3 + 1)) - 28*(784*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))^3 - (392*x^3 - 28^(2/3)*14^(2/3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3) + 392)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3))))*sin(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3))) + 588*sqrt(3)*(x^3 + 1))/(112*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))^4 + 27*x^3 - 112*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))^2 + 27)) - 1/21*(28^(1/6)*14^(2/3)*sqrt(3)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3))) - 28^(1/6)*14^(2/3)*sin(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3))))*arctan(1/196*(28*28^(2/3)*14^(2/3)*sqrt(3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))^2 - 14*28^(2/3)*14^(2/3)*sqrt(3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3) - sqrt(7)*(2*28^(2/3)*14^(2/3)*sqrt(3)*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))^2 - 10*28^(2/3)*14^(2/3)*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))*sin(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3))) - 28^(2/3)*14^(2/3)*sqrt(3)*(x^3 + 1))*sqrt((4*28^(1/3)*14^(1/3)*sqrt(3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3)*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))*sin(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3))) - 20*28^(1/3)*14^(1/3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3)*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))^2 + 28^(2/3)*14^(2/3)*(x^6 + 2*x^3 + 1) + 10*28^(1/3)*14^(1/3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3)*(x^3 + 1) + 28*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(2/3))/(x^6 + 2*x^3 + 1)) + 28*(784*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))^3 - (392*x^3 + 5*28^(2/3)*14^(2/3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3) + 392)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3))))*sin(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3))) - 980*sqrt(3)*(x^3 + 1))/(112*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))^4 + 3*x^3 - 112*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))^2 + 3)) + 1/84*(28^(1/6)*14^(2/3)*sqrt(3)*sin(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3))) - 28^(1/6)*14^(2/3)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3))))*log(-28*(12*28^(1/3)*14^(1/3)*sqrt(3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3)*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))*sin(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3))) - 4*28^(1/3)*14^(1/3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3)*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))^2 - 28^(2/3)*14^(2/3)*(x^6 + 2*x^3 + 1) + 2*28^(1/3)*14^(1/3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3)*(x^3 + 1) - 28*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(2/3))/(x^6 + 2*x^3 + 1)) - 1/84*(28^(1/6)*14^(2/3)*sqrt(3)*sin(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3))) + 28^(1/6)*14^(2/3)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3))))*log(28*(4*28^(1/3)*14^(1/3)*sqrt(3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3)*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))*sin(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3))) - 20*28^(1/3)*14^(1/3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3)*(x^3 + 1)*cos(2/3*arctan(2/9*sqrt(7)*sqrt(3) + 1/9*sqrt(3)))^2 + 28^(2/3)*14^(2/3)*(x^6 + 2*x^3 + 1) + 10*28^(1/3)*14^(1/3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3)*(x^3 + 1) + 28*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(2/3))/(x^6 + 2*x^3 + 1)) + 1/6*4^(1/6)*sqrt(3)*arctan(1/6*4^(1/6)*(4^(1/3)*sqrt(3)*(x^3 + 1) + 2*sqrt(3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3))/(x^3 + 1)) - 1/24*4^(2/3)*log((4^(2/3)*(x^6 + 2*x^3 + 1) + 4^(1/3)*(-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3)*(x^3 + 1) + (-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(2/3))/(x^6 + 2*x^3 + 1)) + 1/12*4^(2/3)*log(-(4^(1/3)*(x^3 + 1) - (-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(1/3))/(x^3 + 1))","B",0
3049,-1,0,0,0.000000," ","integrate((a*x^4+b)^(3/4)/(2*x^8+2*a*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3050,-1,0,0,0.000000," ","integrate((a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(c*x+d)/(a^2*x^4+b)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3051,-1,0,0,0.000000," ","integrate((a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(c*x+d)/(a^2*x^4+b)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3052,-1,0,0,0.000000," ","integrate(1/(a*x^2+b*x+c)^(1/2)/(a^3*b^3*x^3+c^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3053,-1,0,0,0.000000," ","integrate((c*x^2-d)*(a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(c*x^2+d),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3054,-1,0,0,0.000000," ","integrate((c*x^2-d)*(a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(c*x^2+d),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3055,1,1023,0,0.873524," ","integrate(((a*x^5+2*a*x^3-x^4+a*x-2*x^2-1)/(a*x^5-2*a*x^3+x^4+a*x-2*x^2+1))^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(a x^{2} + a\right)} \sqrt{\frac{a + 1}{a - 1}} \log\left(-\frac{a^{2} x^{3} + a^{2} x + x^{2} + {\left({\left(a^{2} - a\right)} x^{3} + {\left(a - 1\right)} x^{2} - {\left(a^{2} - a\right)} x - a + 1\right)} \sqrt{\frac{a x^{5} + 2 \, a x^{3} - x^{4} + a x - 2 \, x^{2} - 1}{a x^{5} - 2 \, a x^{3} + x^{4} + a x - 2 \, x^{2} + 1}} \sqrt{\frac{a + 1}{a - 1}} + 1}{x^{3} + x^{2} + x + 1}\right) + {\left(a x^{2} + a\right)} \sqrt{\frac{a - 1}{a + 1}} \log\left(\frac{a^{2} x^{3} + a^{2} x - x^{2} - {\left({\left(a^{2} + a\right)} x^{3} + {\left(a + 1\right)} x^{2} - {\left(a^{2} + a\right)} x - a - 1\right)} \sqrt{\frac{a x^{5} + 2 \, a x^{3} - x^{4} + a x - 2 \, x^{2} - 1}{a x^{5} - 2 \, a x^{3} + x^{4} + a x - 2 \, x^{2} + 1}} \sqrt{\frac{a - 1}{a + 1}} - 1}{x^{3} - x^{2} + x - 1}\right) - {\left(x^{2} + 1\right)} \log\left(\frac{x^{2} + {\left(x^{2} - 1\right)} \sqrt{\frac{a x^{5} + 2 \, a x^{3} - x^{4} + a x - 2 \, x^{2} - 1}{a x^{5} - 2 \, a x^{3} + x^{4} + a x - 2 \, x^{2} + 1}} + 1}{x^{2} + 1}\right) + {\left(x^{2} + 1\right)} \log\left(-\frac{x^{2} - {\left(x^{2} - 1\right)} \sqrt{\frac{a x^{5} + 2 \, a x^{3} - x^{4} + a x - 2 \, x^{2} - 1}{a x^{5} - 2 \, a x^{3} + x^{4} + a x - 2 \, x^{2} + 1}} + 1}{x^{2} + 1}\right) + {\left(a x^{3} - a x + x^{2} - 1\right)} \sqrt{\frac{a x^{5} + 2 \, a x^{3} - x^{4} + a x - 2 \, x^{2} - 1}{a x^{5} - 2 \, a x^{3} + x^{4} + a x - 2 \, x^{2} + 1}}}{a x^{2} + a}, -\frac{2 \, {\left(a x^{2} + a\right)} \sqrt{-\frac{a + 1}{a - 1}} \arctan\left(\frac{{\left({\left(a - 1\right)} x^{2} - a + 1\right)} \sqrt{\frac{a x^{5} + 2 \, a x^{3} - x^{4} + a x - 2 \, x^{2} - 1}{a x^{5} - 2 \, a x^{3} + x^{4} + a x - 2 \, x^{2} + 1}} \sqrt{-\frac{a + 1}{a - 1}}}{{\left(a + 1\right)} x^{2} + a + 1}\right) - 2 \, {\left(a x^{2} + a\right)} \sqrt{-\frac{a - 1}{a + 1}} \arctan\left(\frac{{\left({\left(a + 1\right)} x^{2} - a - 1\right)} \sqrt{\frac{a x^{5} + 2 \, a x^{3} - x^{4} + a x - 2 \, x^{2} - 1}{a x^{5} - 2 \, a x^{3} + x^{4} + a x - 2 \, x^{2} + 1}} \sqrt{-\frac{a - 1}{a + 1}}}{{\left(a - 1\right)} x^{2} + a - 1}\right) + {\left(x^{2} + 1\right)} \log\left(\frac{x^{2} + {\left(x^{2} - 1\right)} \sqrt{\frac{a x^{5} + 2 \, a x^{3} - x^{4} + a x - 2 \, x^{2} - 1}{a x^{5} - 2 \, a x^{3} + x^{4} + a x - 2 \, x^{2} + 1}} + 1}{x^{2} + 1}\right) - {\left(x^{2} + 1\right)} \log\left(-\frac{x^{2} - {\left(x^{2} - 1\right)} \sqrt{\frac{a x^{5} + 2 \, a x^{3} - x^{4} + a x - 2 \, x^{2} - 1}{a x^{5} - 2 \, a x^{3} + x^{4} + a x - 2 \, x^{2} + 1}} + 1}{x^{2} + 1}\right) - {\left(a x^{3} - a x + x^{2} - 1\right)} \sqrt{\frac{a x^{5} + 2 \, a x^{3} - x^{4} + a x - 2 \, x^{2} - 1}{a x^{5} - 2 \, a x^{3} + x^{4} + a x - 2 \, x^{2} + 1}}}{a x^{2} + a}\right]"," ",0,"[((a*x^2 + a)*sqrt((a + 1)/(a - 1))*log(-(a^2*x^3 + a^2*x + x^2 + ((a^2 - a)*x^3 + (a - 1)*x^2 - (a^2 - a)*x - a + 1)*sqrt((a*x^5 + 2*a*x^3 - x^4 + a*x - 2*x^2 - 1)/(a*x^5 - 2*a*x^3 + x^4 + a*x - 2*x^2 + 1))*sqrt((a + 1)/(a - 1)) + 1)/(x^3 + x^2 + x + 1)) + (a*x^2 + a)*sqrt((a - 1)/(a + 1))*log((a^2*x^3 + a^2*x - x^2 - ((a^2 + a)*x^3 + (a + 1)*x^2 - (a^2 + a)*x - a - 1)*sqrt((a*x^5 + 2*a*x^3 - x^4 + a*x - 2*x^2 - 1)/(a*x^5 - 2*a*x^3 + x^4 + a*x - 2*x^2 + 1))*sqrt((a - 1)/(a + 1)) - 1)/(x^3 - x^2 + x - 1)) - (x^2 + 1)*log((x^2 + (x^2 - 1)*sqrt((a*x^5 + 2*a*x^3 - x^4 + a*x - 2*x^2 - 1)/(a*x^5 - 2*a*x^3 + x^4 + a*x - 2*x^2 + 1)) + 1)/(x^2 + 1)) + (x^2 + 1)*log(-(x^2 - (x^2 - 1)*sqrt((a*x^5 + 2*a*x^3 - x^4 + a*x - 2*x^2 - 1)/(a*x^5 - 2*a*x^3 + x^4 + a*x - 2*x^2 + 1)) + 1)/(x^2 + 1)) + (a*x^3 - a*x + x^2 - 1)*sqrt((a*x^5 + 2*a*x^3 - x^4 + a*x - 2*x^2 - 1)/(a*x^5 - 2*a*x^3 + x^4 + a*x - 2*x^2 + 1)))/(a*x^2 + a), -(2*(a*x^2 + a)*sqrt(-(a + 1)/(a - 1))*arctan(((a - 1)*x^2 - a + 1)*sqrt((a*x^5 + 2*a*x^3 - x^4 + a*x - 2*x^2 - 1)/(a*x^5 - 2*a*x^3 + x^4 + a*x - 2*x^2 + 1))*sqrt(-(a + 1)/(a - 1))/((a + 1)*x^2 + a + 1)) - 2*(a*x^2 + a)*sqrt(-(a - 1)/(a + 1))*arctan(((a + 1)*x^2 - a - 1)*sqrt((a*x^5 + 2*a*x^3 - x^4 + a*x - 2*x^2 - 1)/(a*x^5 - 2*a*x^3 + x^4 + a*x - 2*x^2 + 1))*sqrt(-(a - 1)/(a + 1))/((a - 1)*x^2 + a - 1)) + (x^2 + 1)*log((x^2 + (x^2 - 1)*sqrt((a*x^5 + 2*a*x^3 - x^4 + a*x - 2*x^2 - 1)/(a*x^5 - 2*a*x^3 + x^4 + a*x - 2*x^2 + 1)) + 1)/(x^2 + 1)) - (x^2 + 1)*log(-(x^2 - (x^2 - 1)*sqrt((a*x^5 + 2*a*x^3 - x^4 + a*x - 2*x^2 - 1)/(a*x^5 - 2*a*x^3 + x^4 + a*x - 2*x^2 + 1)) + 1)/(x^2 + 1)) - (a*x^3 - a*x + x^2 - 1)*sqrt((a*x^5 + 2*a*x^3 - x^4 + a*x - 2*x^2 - 1)/(a*x^5 - 2*a*x^3 + x^4 + a*x - 2*x^2 + 1)))/(a*x^2 + a)]","A",0
3056,-2,0,0,0.000000," ","integrate((1+x)/(x^2-3)/(x^2+1)^(1/3),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
3057,-1,0,0,0.000000," ","integrate((-x^4+1)/(x^4+1)/(x^5-x^3)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3058,-1,0,0,0.000000," ","integrate((x^8-1)/(x^6-x^2)^(1/4)/(x^8+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3059,-1,0,0,0.000000," ","integrate((x^8-1)/(x^6-x^2)^(1/4)/(x^8+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3060,1,433,0,0.671773," ","integrate((a*x+(a^2*x^2-b)^(1/2))^(1/3)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/3))^(1/4),x, algorithm=""fricas"")","\frac{23100 \, a c^{2} \left(\frac{b^{4}}{a^{4} c^{9}}\right)^{\frac{1}{4}} \arctan\left(-\frac{a b^{3} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{1}{4}} c^{2} \left(\frac{b^{4}}{a^{4} c^{9}}\right)^{\frac{1}{4}} - \sqrt{a^{2} b^{4} c^{5} \sqrt{\frac{b^{4}}{a^{4} c^{9}}} + b^{6} \sqrt{c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}}} a c^{2} \left(\frac{b^{4}}{a^{4} c^{9}}\right)^{\frac{1}{4}}}{b^{4}}\right) + 5775 \, a c^{2} \left(\frac{b^{4}}{a^{4} c^{9}}\right)^{\frac{1}{4}} \log\left(3375 \, a^{3} c^{7} \left(\frac{b^{4}}{a^{4} c^{9}}\right)^{\frac{3}{4}} + 3375 \, b^{3} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{1}{4}}\right) - 5775 \, a c^{2} \left(\frac{b^{4}}{a^{4} c^{9}}\right)^{\frac{1}{4}} \log\left(-3375 \, a^{3} c^{7} \left(\frac{b^{4}}{a^{4} c^{9}}\right)^{\frac{3}{4}} + 3375 \, b^{3} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{1}{4}}\right) - 4 \, {\left(4096 \, c^{5} - 2464 \, a c^{2} x - 2464 \, \sqrt{a^{2} x^{2} - b} c^{2} + 21 \, {\left(128 \, c^{3} + 275 \, a x - 275 \, \sqrt{a^{2} x^{2} - b}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{2}{3}} - 12 \, {\left(256 \, c^{4} + 385 \, a c x - 385 \, \sqrt{a^{2} x^{2} - b} c\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{3}{4}}}{24640 \, a c^{2}}"," ",0,"1/24640*(23100*a*c^2*(b^4/(a^4*c^9))^(1/4)*arctan(-(a*b^3*(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(1/4)*c^2*(b^4/(a^4*c^9))^(1/4) - sqrt(a^2*b^4*c^5*sqrt(b^4/(a^4*c^9)) + b^6*sqrt(c + (a*x + sqrt(a^2*x^2 - b))^(1/3)))*a*c^2*(b^4/(a^4*c^9))^(1/4))/b^4) + 5775*a*c^2*(b^4/(a^4*c^9))^(1/4)*log(3375*a^3*c^7*(b^4/(a^4*c^9))^(3/4) + 3375*b^3*(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(1/4)) - 5775*a*c^2*(b^4/(a^4*c^9))^(1/4)*log(-3375*a^3*c^7*(b^4/(a^4*c^9))^(3/4) + 3375*b^3*(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(1/4)) - 4*(4096*c^5 - 2464*a*c^2*x - 2464*sqrt(a^2*x^2 - b)*c^2 + 21*(128*c^3 + 275*a*x - 275*sqrt(a^2*x^2 - b))*(a*x + sqrt(a^2*x^2 - b))^(2/3) - 12*(256*c^4 + 385*a*c*x - 385*sqrt(a^2*x^2 - b)*c)*(a*x + sqrt(a^2*x^2 - b))^(1/3))*(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(3/4))/(a*c^2)","A",0
3061,-1,0,0,0.000000," ","integrate((a*x+b^2)/(a*x-b^2)/(b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3062,-1,0,0,0.000000," ","integrate((a*x^4-b)^(3/4)/(2*x^8-2*a*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3063,-1,0,0,0.000000," ","integrate((c*x^2-d)/(c*x^2+d)/(a*x^2+(a^2*x^4+b)^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3064,-1,0,0,0.000000," ","integrate((c*x^2-d)/(c*x^2+d)/(a*x^2+(a^2*x^4+b)^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3065,-1,0,0,0.000000," ","integrate(x^4/(a*x^4-b)^(1/4)/(2*x^8-2*a*x^4+b),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3066,-1,0,0,0.000000," ","integrate(x^3*(6*a*x-5*b)/(a*x^2-b*x)^(1/4)/(a*x^6-b*x^5+c),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3067,1,2613,0,0.949899," ","integrate((-a+x)/((-a+x)*(-b+x)^2)^(1/3)/(-b^2+a^2*d+2*(-a*d+b)*x+(-1+d)*x^2),x, algorithm=""fricas"")","\sqrt{3} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(a - b\right)} d \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{6}} - 2 \, \sqrt{3} {\left({\left(a - b\right)} d x - {\left(a b - b^{2}\right)} d\right)} \sqrt{\frac{{\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d^{4} x - {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} d^{4}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{5}{6}} + {\left({\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d^{3} x^{2} - 2 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} d^{3} x + {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} d^{3}\right)} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{2}{3}} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{6}} - \sqrt{3} {\left(b - x\right)}}{3 \, {\left(b - x\right)}}\right) + \sqrt{3} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(a - b\right)} d \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{6}} - 2 \, \sqrt{3} {\left({\left(a - b\right)} d x - {\left(a b - b^{2}\right)} d\right)} \sqrt{-\frac{{\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d^{4} x - {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} d^{4}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{5}{6}} - {\left({\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d^{3} x^{2} - 2 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} d^{3} x + {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} d^{3}\right)} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{2}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{6}} + \sqrt{3} {\left(b - x\right)}}{3 \, {\left(b - x\right)}}\right) - \frac{1}{4} \, \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{6}} \log\left(\frac{{\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d^{4} x - {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} d^{4}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{5}{6}} + {\left({\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d^{3} x^{2} - 2 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} d^{3} x + {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} d^{3}\right)} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{2}{3}} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}\right) + \frac{1}{4} \, \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{6}} \log\left(-\frac{{\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d^{4} x - {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} d^{4}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{5}{6}} - {\left({\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d^{3} x^{2} - 2 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} d^{3} x + {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} d^{3}\right)} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{2}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}\right) - \frac{1}{2} \, \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{6}} \log\left(-\frac{{\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d^{4} x - {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} d^{4}\right)} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{5}{6}} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}}}{b - x}\right) + \frac{1}{2} \, \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{1}{6}} \log\left(\frac{{\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d^{4} x - {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} d^{4}\right)} \left(\frac{1}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}\right)^{\frac{5}{6}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}}}{b - x}\right)"," ",0,"sqrt(3)*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/6)*arctan(-1/3*(2*sqrt(3)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(a - b)*d*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/6) - 2*sqrt(3)*((a - b)*d*x - (a*b - b^2)*d)*sqrt((((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d^4*x - (a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*d^4)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(5/6) + ((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d^3*x^2 - 2*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*d^3*x + (a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*d^3)*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(2/3) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3))/(b^2 - 2*b*x + x^2))*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/6) - sqrt(3)*(b - x))/(b - x)) + sqrt(3)*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/6)*arctan(-1/3*(2*sqrt(3)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(a - b)*d*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/6) - 2*sqrt(3)*((a - b)*d*x - (a*b - b^2)*d)*sqrt(-(((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d^4*x - (a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*d^4)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(5/6) - ((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d^3*x^2 - 2*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*d^3*x + (a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*d^3)*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(2/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3))/(b^2 - 2*b*x + x^2))*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/6) + sqrt(3)*(b - x))/(b - x)) - 1/4*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/6)*log((((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d^4*x - (a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*d^4)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(5/6) + ((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d^3*x^2 - 2*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*d^3*x + (a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*d^3)*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(2/3) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3))/(b^2 - 2*b*x + x^2)) + 1/4*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/6)*log(-(((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d^4*x - (a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*d^4)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(5/6) - ((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d^3*x^2 - 2*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*d^3*x + (a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*d^3)*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(2/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3))/(b^2 - 2*b*x + x^2)) - 1/2*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/6)*log(-(((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d^4*x - (a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*d^4)*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(5/6) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3))/(b - x)) + 1/2*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(1/6)*log((((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d^4*x - (a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*d^4)*(1/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5))^(5/6) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3))/(b - x))","B",0
3068,1,567,0,0.665496," ","integrate((2*x^8-a*x^4+b)/(a*x^4+b)^(1/4)/(x^8-2*a*x^4-b),x, algorithm=""fricas"")","-\frac{3 \, \sqrt{2} \arctan\left(\frac{\frac{\sqrt{2} x \sqrt{\frac{{\left(a^{2} + b\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(a x^{4} + b\right)}^{\frac{1}{4}} {\left(a^{2} + b\right)}^{\frac{1}{8}} x + \sqrt{a x^{4} + b}}{x^{2}}}}{{\left(a^{2} + b\right)}^{\frac{1}{8}}} - x - \frac{\sqrt{2} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{{\left(a^{2} + b\right)}^{\frac{1}{8}}}}{x}\right)}{4 \, {\left(a^{2} + b\right)}^{\frac{1}{8}}} - \frac{3 \, \sqrt{2} \arctan\left(\frac{\frac{\sqrt{2} x \sqrt{\frac{{\left(a^{2} + b\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(a x^{4} + b\right)}^{\frac{1}{4}} {\left(a^{2} + b\right)}^{\frac{1}{8}} x + \sqrt{a x^{4} + b}}{x^{2}}}}{{\left(a^{2} + b\right)}^{\frac{1}{8}}} + x - \frac{\sqrt{2} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{{\left(a^{2} + b\right)}^{\frac{1}{8}}}}{x}\right)}{4 \, {\left(a^{2} + b\right)}^{\frac{1}{8}}} - \frac{3 \, \sqrt{2} \log\left(\frac{{\left(a^{2} + b\right)}^{\frac{1}{4}} x^{2} + \sqrt{2} {\left(a x^{4} + b\right)}^{\frac{1}{4}} {\left(a^{2} + b\right)}^{\frac{1}{8}} x + \sqrt{a x^{4} + b}}{x^{2}}\right)}{16 \, {\left(a^{2} + b\right)}^{\frac{1}{8}}} + \frac{3 \, \sqrt{2} \log\left(\frac{{\left(a^{2} + b\right)}^{\frac{1}{4}} x^{2} - \sqrt{2} {\left(a x^{4} + b\right)}^{\frac{1}{4}} {\left(a^{2} + b\right)}^{\frac{1}{8}} x + \sqrt{a x^{4} + b}}{x^{2}}\right)}{16 \, {\left(a^{2} + b\right)}^{\frac{1}{8}}} - \frac{3 \, \arctan\left(\frac{\frac{x \sqrt{\frac{{\left(a^{2} + b\right)}^{\frac{1}{4}} x^{2} + \sqrt{a x^{4} + b}}{x^{2}}}}{{\left(a^{2} + b\right)}^{\frac{1}{8}}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{{\left(a^{2} + b\right)}^{\frac{1}{8}}}}{x}\right)}{2 \, {\left(a^{2} + b\right)}^{\frac{1}{8}}} - \frac{3 \, \log\left(\frac{{\left(a^{2} + b\right)}^{\frac{1}{8}} x + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{8 \, {\left(a^{2} + b\right)}^{\frac{1}{8}}} + \frac{3 \, \log\left(-\frac{{\left(a^{2} + b\right)}^{\frac{1}{8}} x - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{8 \, {\left(a^{2} + b\right)}^{\frac{1}{8}}} + \frac{2 \, \arctan\left(\frac{\frac{x \sqrt{\frac{\sqrt{a} x^{2} + \sqrt{a x^{4} + b}}{x^{2}}}}{a^{\frac{1}{4}}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}}{x}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{a^{\frac{1}{4}} x + {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} x - {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)}{2 \, a^{\frac{1}{4}}}"," ",0,"-3/4*sqrt(2)*arctan((sqrt(2)*x*sqrt(((a^2 + b)^(1/4)*x^2 + sqrt(2)*(a*x^4 + b)^(1/4)*(a^2 + b)^(1/8)*x + sqrt(a*x^4 + b))/x^2)/(a^2 + b)^(1/8) - x - sqrt(2)*(a*x^4 + b)^(1/4)/(a^2 + b)^(1/8))/x)/(a^2 + b)^(1/8) - 3/4*sqrt(2)*arctan((sqrt(2)*x*sqrt(((a^2 + b)^(1/4)*x^2 - sqrt(2)*(a*x^4 + b)^(1/4)*(a^2 + b)^(1/8)*x + sqrt(a*x^4 + b))/x^2)/(a^2 + b)^(1/8) + x - sqrt(2)*(a*x^4 + b)^(1/4)/(a^2 + b)^(1/8))/x)/(a^2 + b)^(1/8) - 3/16*sqrt(2)*log(((a^2 + b)^(1/4)*x^2 + sqrt(2)*(a*x^4 + b)^(1/4)*(a^2 + b)^(1/8)*x + sqrt(a*x^4 + b))/x^2)/(a^2 + b)^(1/8) + 3/16*sqrt(2)*log(((a^2 + b)^(1/4)*x^2 - sqrt(2)*(a*x^4 + b)^(1/4)*(a^2 + b)^(1/8)*x + sqrt(a*x^4 + b))/x^2)/(a^2 + b)^(1/8) - 3/2*arctan((x*sqrt(((a^2 + b)^(1/4)*x^2 + sqrt(a*x^4 + b))/x^2)/(a^2 + b)^(1/8) - (a*x^4 + b)^(1/4)/(a^2 + b)^(1/8))/x)/(a^2 + b)^(1/8) - 3/8*log(((a^2 + b)^(1/8)*x + (a*x^4 + b)^(1/4))/x)/(a^2 + b)^(1/8) + 3/8*log(-((a^2 + b)^(1/8)*x - (a*x^4 + b)^(1/4))/x)/(a^2 + b)^(1/8) + 2*arctan((x*sqrt((sqrt(a)*x^2 + sqrt(a*x^4 + b))/x^2)/a^(1/4) - (a*x^4 + b)^(1/4)/a^(1/4))/x)/a^(1/4) + 1/2*log((a^(1/4)*x + (a*x^4 + b)^(1/4))/x)/a^(1/4) - 1/2*log(-(a^(1/4)*x - (a*x^4 + b)^(1/4))/x)/a^(1/4)","A",0
3069,1,581,0,0.631213," ","integrate((a^2*x^2-b)^(1/2)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{105 \, {\left(256 \, b c^{4} - 35 \, b^{2}\right)} \sqrt{c} \log\left(2 \, {\left(a \sqrt{c} x - \sqrt{a^{2} x^{2} - b} \sqrt{c}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} - b}}} + 2 \, {\left(a c x - \sqrt{a^{2} x^{2} - b} c\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} + b\right) - 2 \, {\left(6144 \, c^{8} + 3360 \, a^{2} c^{4} x^{2} - 1680 \, b c^{4} + 2 \, {\left(1152 \, a c^{6} + 1225 \, a b c^{2}\right)} x + 2 \, {\left(1152 \, c^{6} - 1680 \, a c^{4} x - 1225 \, b c^{2}\right)} \sqrt{a^{2} x^{2} - b} - {\left(3072 \, c^{7} + 3920 \, a^{2} c^{3} x^{2} - 1960 \, b c^{3} + 15 \, {\left(128 \, a c^{5} + 245 \, a b c\right)} x + 5 \, {\left(384 \, c^{5} - 784 \, a c^{3} x - 735 \, b c\right)} \sqrt{a^{2} x^{2} - b}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} - b}}}}{26880 \, a c^{5}}, -\frac{105 \, {\left(256 \, b c^{4} - 35 \, b^{2}\right)} \sqrt{-c} \arctan\left(\frac{\sqrt{-c} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} - b}}}}{c}\right) + {\left(6144 \, c^{8} + 3360 \, a^{2} c^{4} x^{2} - 1680 \, b c^{4} + 2 \, {\left(1152 \, a c^{6} + 1225 \, a b c^{2}\right)} x + 2 \, {\left(1152 \, c^{6} - 1680 \, a c^{4} x - 1225 \, b c^{2}\right)} \sqrt{a^{2} x^{2} - b} - {\left(3072 \, c^{7} + 3920 \, a^{2} c^{3} x^{2} - 1960 \, b c^{3} + 15 \, {\left(128 \, a c^{5} + 245 \, a b c\right)} x + 5 \, {\left(384 \, c^{5} - 784 \, a c^{3} x - 735 \, b c\right)} \sqrt{a^{2} x^{2} - b}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} - b}}}}{13440 \, a c^{5}}\right]"," ",0,"[1/26880*(105*(256*b*c^4 - 35*b^2)*sqrt(c)*log(2*(a*sqrt(c)*x - sqrt(a^2*x^2 - b)*sqrt(c))*sqrt(a*x + sqrt(a^2*x^2 - b))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 - b))) + 2*(a*c*x - sqrt(a^2*x^2 - b)*c)*sqrt(a*x + sqrt(a^2*x^2 - b)) + b) - 2*(6144*c^8 + 3360*a^2*c^4*x^2 - 1680*b*c^4 + 2*(1152*a*c^6 + 1225*a*b*c^2)*x + 2*(1152*c^6 - 1680*a*c^4*x - 1225*b*c^2)*sqrt(a^2*x^2 - b) - (3072*c^7 + 3920*a^2*c^3*x^2 - 1960*b*c^3 + 15*(128*a*c^5 + 245*a*b*c)*x + 5*(384*c^5 - 784*a*c^3*x - 735*b*c)*sqrt(a^2*x^2 - b))*sqrt(a*x + sqrt(a^2*x^2 - b)))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 - b))))/(a*c^5), -1/13440*(105*(256*b*c^4 - 35*b^2)*sqrt(-c)*arctan(sqrt(-c)*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 - b)))/c) + (6144*c^8 + 3360*a^2*c^4*x^2 - 1680*b*c^4 + 2*(1152*a*c^6 + 1225*a*b*c^2)*x + 2*(1152*c^6 - 1680*a*c^4*x - 1225*b*c^2)*sqrt(a^2*x^2 - b) - (3072*c^7 + 3920*a^2*c^3*x^2 - 1960*b*c^3 + 15*(128*a*c^5 + 245*a*b*c)*x + 5*(384*c^5 - 784*a*c^3*x - 735*b*c)*sqrt(a^2*x^2 - b))*sqrt(a*x + sqrt(a^2*x^2 - b)))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 - b))))/(a*c^5)]","A",0
3070,-2,0,0,0.000000," ","integrate((1+x)/(8*x^8+84*x^7+338*x^6+679*x^5+825*x^4+784*x^3+522*x^2+189*x+27)^(1/3),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
3071,1,62,0,0.549506," ","integrate((k^2*x^4-1)/((-x^2+1)*(-k^2*x^2+1))^(1/2)/(k^2*x^4+1),x, algorithm=""fricas"")","-\frac{\arctan\left(\frac{2 \, \sqrt{k^{2} x^{4} - {\left(k^{2} + 1\right)} x^{2} + 1} \sqrt{k^{2} + 1} x}{k^{2} x^{4} - 2 \, {\left(k^{2} + 1\right)} x^{2} + 1}\right)}{2 \, \sqrt{k^{2} + 1}}"," ",0,"-1/2*arctan(2*sqrt(k^2*x^4 - (k^2 + 1)*x^2 + 1)*sqrt(k^2 + 1)*x/(k^2*x^4 - 2*(k^2 + 1)*x^2 + 1))/sqrt(k^2 + 1)","A",0
3072,-2,0,0,0.000000," ","integrate((1+2*x)/(x^2-1)^(1/3)/(x^2+3),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
3073,1,344,0,0.552053," ","integrate(x/(1-(1-(1-1/x)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{1}{384} \, {\left({\left(16 \, x^{2} + {\left(208 \, x^{2} + 291 \, x\right)} \sqrt{\frac{x - 1}{x}} + 55 \, x\right)} \sqrt{-\sqrt{\frac{x - 1}{x}} + 1} + 2 \, {\left(96 \, x^{2} + 119 \, x\right)} \sqrt{\frac{x - 1}{x}} - 2 \, x\right)} \sqrt{-\sqrt{-\sqrt{\frac{x - 1}{x}} + 1} + 1} + \frac{1}{64} \, \sqrt{1021 \, \sqrt{2} + 1439} \arctan\left(-\frac{1}{119} \, \sqrt{1021 \, \sqrt{2} + 1439} {\left(11 \, \sqrt{2} - 19\right)} \sqrt{\sqrt{2} - \sqrt{-\sqrt{\frac{x - 1}{x}} + 1}} + \frac{1}{119} \, \sqrt{1021 \, \sqrt{2} + 1439} {\left(11 \, \sqrt{2} - 19\right)} \sqrt{-\sqrt{-\sqrt{\frac{x - 1}{x}} + 1} + 1}\right) + \frac{1}{256} \, \sqrt{1021 \, \sqrt{2} - 1439} \log\left(\sqrt{1021 \, \sqrt{2} - 1439} {\left(30 \, \sqrt{2} + 41\right)} + 119 \, \sqrt{-\sqrt{-\sqrt{\frac{x - 1}{x}} + 1} + 1}\right) - \frac{1}{256} \, \sqrt{1021 \, \sqrt{2} - 1439} \log\left(-\sqrt{1021 \, \sqrt{2} - 1439} {\left(30 \, \sqrt{2} + 41\right)} + 119 \, \sqrt{-\sqrt{-\sqrt{\frac{x - 1}{x}} + 1} + 1}\right) + \frac{59}{256} \, \log\left(\sqrt{-\sqrt{-\sqrt{\frac{x - 1}{x}} + 1} + 1} + 1\right) - \frac{59}{256} \, \log\left(\sqrt{-\sqrt{-\sqrt{\frac{x - 1}{x}} + 1} + 1} - 1\right)"," ",0,"1/384*((16*x^2 + (208*x^2 + 291*x)*sqrt((x - 1)/x) + 55*x)*sqrt(-sqrt((x - 1)/x) + 1) + 2*(96*x^2 + 119*x)*sqrt((x - 1)/x) - 2*x)*sqrt(-sqrt(-sqrt((x - 1)/x) + 1) + 1) + 1/64*sqrt(1021*sqrt(2) + 1439)*arctan(-1/119*sqrt(1021*sqrt(2) + 1439)*(11*sqrt(2) - 19)*sqrt(sqrt(2) - sqrt(-sqrt((x - 1)/x) + 1)) + 1/119*sqrt(1021*sqrt(2) + 1439)*(11*sqrt(2) - 19)*sqrt(-sqrt(-sqrt((x - 1)/x) + 1) + 1)) + 1/256*sqrt(1021*sqrt(2) - 1439)*log(sqrt(1021*sqrt(2) - 1439)*(30*sqrt(2) + 41) + 119*sqrt(-sqrt(-sqrt((x - 1)/x) + 1) + 1)) - 1/256*sqrt(1021*sqrt(2) - 1439)*log(-sqrt(1021*sqrt(2) - 1439)*(30*sqrt(2) + 41) + 119*sqrt(-sqrt(-sqrt((x - 1)/x) + 1) + 1)) + 59/256*log(sqrt(-sqrt(-sqrt((x - 1)/x) + 1) + 1) + 1) - 59/256*log(sqrt(-sqrt(-sqrt((x - 1)/x) + 1) + 1) - 1)","A",0
3074,-1,0,0,0.000000," ","integrate((x^6-x^2)^(1/4)*(x^8-x^4+1)/x^4/(x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3075,-1,0,0,0.000000," ","integrate((x^6-x^2)^(1/4)*(x^8-x^4+1)/x^4/(x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3076,-1,0,0,0.000000," ","integrate((x^6-x^2)^(1/4)*(x^8+x^4+1)/x^4/(x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3077,-1,0,0,0.000000," ","integrate((x^6-x^2)^(1/4)*(x^8+x^4+1)/x^4/(x^4+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3078,1,408,0,1.283231," ","integrate((a^3*x^3+b^2*x^2)^(1/3)/(a*x-b),x, algorithm=""fricas"")","-\frac{6 \, \sqrt{3} a^{2} b \left(\frac{a^{2} + b}{a^{2}}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(a^{2} + b\right)} x + 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} a \left(\frac{a^{2} + b}{a^{2}}\right)^{\frac{2}{3}}}{3 \, {\left(a^{2} + b\right)} x}\right) - 6 \, a^{2} b \left(\frac{a^{2} + b}{a^{2}}\right)^{\frac{1}{3}} \log\left(-\frac{a x \left(\frac{a^{2} + b}{a^{2}}\right)^{\frac{1}{3}} - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) + 3 \, a^{2} b \left(\frac{a^{2} + b}{a^{2}}\right)^{\frac{1}{3}} \log\left(\frac{a^{2} x^{2} \left(\frac{a^{2} + b}{a^{2}}\right)^{\frac{2}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} a x \left(\frac{a^{2} + b}{a^{2}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - 2 \, \sqrt{3} {\left(3 \, a^{2} b + b^{2}\right)} \arctan\left(\frac{\sqrt{3} a x + 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{3 \, a x}\right) - 6 \, {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} a^{2} + 2 \, {\left(3 \, a^{2} b + b^{2}\right)} \log\left(-\frac{a x - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - {\left(3 \, a^{2} b + b^{2}\right)} \log\left(\frac{a^{2} x^{2} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} a x + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{6 \, a^{3}}"," ",0,"-1/6*(6*sqrt(3)*a^2*b*((a^2 + b)/a^2)^(1/3)*arctan(1/3*(sqrt(3)*(a^2 + b)*x + 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3)*a*((a^2 + b)/a^2)^(2/3))/((a^2 + b)*x)) - 6*a^2*b*((a^2 + b)/a^2)^(1/3)*log(-(a*x*((a^2 + b)/a^2)^(1/3) - (a^3*x^3 + b^2*x^2)^(1/3))/x) + 3*a^2*b*((a^2 + b)/a^2)^(1/3)*log((a^2*x^2*((a^2 + b)/a^2)^(2/3) + (a^3*x^3 + b^2*x^2)^(1/3)*a*x*((a^2 + b)/a^2)^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - 2*sqrt(3)*(3*a^2*b + b^2)*arctan(1/3*(sqrt(3)*a*x + 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3))/(a*x)) - 6*(a^3*x^3 + b^2*x^2)^(1/3)*a^2 + 2*(3*a^2*b + b^2)*log(-(a*x - (a^3*x^3 + b^2*x^2)^(1/3))/x) - (3*a^2*b + b^2)*log((a^2*x^2 + (a^3*x^3 + b^2*x^2)^(1/3)*a*x + (a^3*x^3 + b^2*x^2)^(2/3))/x^2))/a^3","A",0
3079,1,679,0,1.352624," ","integrate((a^2*x^2-b)^(1/2)/(a*x+(a^2*x^2-b)^(1/2))^(1/2)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{15 \, {\left(256 \, b^{2} c^{4} - 63 \, b^{3}\right)} \sqrt{c} \log\left(-2 \, {\left(a \sqrt{c} x - \sqrt{a^{2} x^{2} - b} \sqrt{c}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} - b}}} + 2 \, {\left(a c x - \sqrt{a^{2} x^{2} - b} c\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} + b\right) + 2 \, {\left(2048 \, b c^{8} + 864 \, a^{2} b c^{4} x^{2} - 432 \, b^{2} c^{4} + 6 \, {\left(128 \, a b c^{6} + 105 \, a b^{2} c^{2}\right)} x + 6 \, {\left(128 \, b c^{6} - 144 \, a b c^{4} x - 105 \, b^{2} c^{2}\right)} \sqrt{a^{2} x^{2} - b} - {\left(1536 \, a^{3} c^{5} x^{3} + 1024 \, b c^{7} + 1008 \, a^{2} b c^{3} x^{2} - 504 \, b^{2} c^{3} - 3 \, {\left(1664 \, a b c^{5} - 315 \, a b^{2} c\right)} x - 3 \, {\left(512 \, a^{2} c^{5} x^{2} - 1408 \, b c^{5} + 336 \, a b c^{3} x + 315 \, b^{2} c\right)} \sqrt{a^{2} x^{2} - b}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} - b}}}}{7680 \, a b c^{6}}, \frac{15 \, {\left(256 \, b^{2} c^{4} - 63 \, b^{3}\right)} \sqrt{-c} \arctan\left(\frac{\sqrt{-c} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} - b}}}}{c}\right) + {\left(2048 \, b c^{8} + 864 \, a^{2} b c^{4} x^{2} - 432 \, b^{2} c^{4} + 6 \, {\left(128 \, a b c^{6} + 105 \, a b^{2} c^{2}\right)} x + 6 \, {\left(128 \, b c^{6} - 144 \, a b c^{4} x - 105 \, b^{2} c^{2}\right)} \sqrt{a^{2} x^{2} - b} - {\left(1536 \, a^{3} c^{5} x^{3} + 1024 \, b c^{7} + 1008 \, a^{2} b c^{3} x^{2} - 504 \, b^{2} c^{3} - 3 \, {\left(1664 \, a b c^{5} - 315 \, a b^{2} c\right)} x - 3 \, {\left(512 \, a^{2} c^{5} x^{2} - 1408 \, b c^{5} + 336 \, a b c^{3} x + 315 \, b^{2} c\right)} \sqrt{a^{2} x^{2} - b}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} - b}}}}{3840 \, a b c^{6}}\right]"," ",0,"[1/7680*(15*(256*b^2*c^4 - 63*b^3)*sqrt(c)*log(-2*(a*sqrt(c)*x - sqrt(a^2*x^2 - b)*sqrt(c))*sqrt(a*x + sqrt(a^2*x^2 - b))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 - b))) + 2*(a*c*x - sqrt(a^2*x^2 - b)*c)*sqrt(a*x + sqrt(a^2*x^2 - b)) + b) + 2*(2048*b*c^8 + 864*a^2*b*c^4*x^2 - 432*b^2*c^4 + 6*(128*a*b*c^6 + 105*a*b^2*c^2)*x + 6*(128*b*c^6 - 144*a*b*c^4*x - 105*b^2*c^2)*sqrt(a^2*x^2 - b) - (1536*a^3*c^5*x^3 + 1024*b*c^7 + 1008*a^2*b*c^3*x^2 - 504*b^2*c^3 - 3*(1664*a*b*c^5 - 315*a*b^2*c)*x - 3*(512*a^2*c^5*x^2 - 1408*b*c^5 + 336*a*b*c^3*x + 315*b^2*c)*sqrt(a^2*x^2 - b))*sqrt(a*x + sqrt(a^2*x^2 - b)))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 - b))))/(a*b*c^6), 1/3840*(15*(256*b^2*c^4 - 63*b^3)*sqrt(-c)*arctan(sqrt(-c)*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 - b)))/c) + (2048*b*c^8 + 864*a^2*b*c^4*x^2 - 432*b^2*c^4 + 6*(128*a*b*c^6 + 105*a*b^2*c^2)*x + 6*(128*b*c^6 - 144*a*b*c^4*x - 105*b^2*c^2)*sqrt(a^2*x^2 - b) - (1536*a^3*c^5*x^3 + 1024*b*c^7 + 1008*a^2*b*c^3*x^2 - 504*b^2*c^3 - 3*(1664*a*b*c^5 - 315*a*b^2*c)*x - 3*(512*a^2*c^5*x^2 - 1408*b*c^5 + 336*a*b*c^3*x + 315*b^2*c)*sqrt(a^2*x^2 - b))*sqrt(a*x + sqrt(a^2*x^2 - b)))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 - b))))/(a*b*c^6)]","A",0
3080,-1,0,0,0.000000," ","integrate((x^2-3)*(x^6+x^4-2*x^2+1)/x^10/((b*x^3+a*x^2-a)/(d*x^3+c*x^2-c))^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3081,1,7760,0,2.390556," ","integrate((x^4+1)*(x+(x^2+1)^(1/2))^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^4+1),x, algorithm=""fricas"")","-\frac{1}{105} \, {\left({\left(135 \, x - 75 \, \sqrt{x^{2} + 1} - 8\right)} \sqrt{x + \sqrt{x^{2} + 1}} + 6 \, x + 6 \, \sqrt{x^{2} + 1} + 16\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1} \log\left({\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + 4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{3} + {\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 16 \, \sqrt{2} + 16 \, \sqrt{5 \, \sqrt{2} + 7} - 19\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} - 16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 48 \, \sqrt{2} + 48 \, \sqrt{5 \, \sqrt{2} + 7} - 63\right)} \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1} \log\left(-{\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + 4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{3} + {\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 16 \, \sqrt{2} + 16 \, \sqrt{5 \, \sqrt{2} + 7} - 19\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} - 16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 48 \, \sqrt{2} + 48 \, \sqrt{5 \, \sqrt{2} + 7} - 63\right)} \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1} \log\left({\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{3} - 17 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 45 \, \sqrt{2} + 45 \, \sqrt{5 \, \sqrt{2} + 7} - 62\right)} \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1} \log\left(-{\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{3} - 17 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 45 \, \sqrt{2} + 45 \, \sqrt{5 \, \sqrt{2} + 7} - 62\right)} \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1} \log\left({\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{3} + {\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 64 \, \sqrt{2} - 64 \, \sqrt{5 \, \sqrt{2} - 7} - 97\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} + 64 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 256 \, \sqrt{2} - 256 \, \sqrt{5 \, \sqrt{2} - 7} - 373\right)} \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1} \log\left(-{\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{3} + {\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 64 \, \sqrt{2} - 64 \, \sqrt{5 \, \sqrt{2} - 7} - 97\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} + 64 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 256 \, \sqrt{2} - 256 \, \sqrt{5 \, \sqrt{2} - 7} - 373\right)} \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1} \log\left({\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{3} + 69 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 289 \, \sqrt{2} - 289 \, \sqrt{5 \, \sqrt{2} - 7} - 428\right)} \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1} \log\left(-{\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{3} + 69 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 289 \, \sqrt{2} - 289 \, \sqrt{5 \, \sqrt{2} - 7} - 428\right)} \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} \log\left({\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} - 4 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 3 i \, \sqrt{2} - 3 \, \sqrt{4 i \, \sqrt{2} - 2} + 2\right)} \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} \log\left(-{\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} - 4 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 3 i \, \sqrt{2} - 3 \, \sqrt{4 i \, \sqrt{2} - 2} + 2\right)} \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} \log\left({\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} - {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} - {\left({\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 1\right)} {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} + 2 i \, \sqrt{2} - 2 \, \sqrt{4 i \, \sqrt{2} - 2} + 6\right)} \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(-{\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} - {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} - {\left({\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 1\right)} {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} + 2 i \, \sqrt{2} - 2 \, \sqrt{4 i \, \sqrt{2} - 2} + 6\right)} \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} \log\left(\frac{1}{2} \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + {\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 16 \, \sqrt{2} + 16 \, \sqrt{5 \, \sqrt{2} + 7} - 19\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + 4 \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + \sqrt{2} - \sqrt{5 \, \sqrt{2} + 7}\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} - 3 \, \sqrt{2} + 3 \, \sqrt{5 \, \sqrt{2} + 7} - 1\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} \log\left(-\frac{1}{2} \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + {\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 16 \, \sqrt{2} + 16 \, \sqrt{5 \, \sqrt{2} + 7} - 19\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + 4 \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + \sqrt{2} - \sqrt{5 \, \sqrt{2} + 7}\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} - 3 \, \sqrt{2} + 3 \, \sqrt{5 \, \sqrt{2} + 7} - 1\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} \log\left(\frac{1}{2} \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + {\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 16 \, \sqrt{2} + 16 \, \sqrt{5 \, \sqrt{2} + 7} - 19\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 4 \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + \sqrt{2} - \sqrt{5 \, \sqrt{2} + 7}\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} - 3 \, \sqrt{2} + 3 \, \sqrt{5 \, \sqrt{2} + 7} - 1\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} \log\left(-\frac{1}{2} \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + {\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 16 \, \sqrt{2} + 16 \, \sqrt{5 \, \sqrt{2} + 7} - 19\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 4 \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + \sqrt{2} - \sqrt{5 \, \sqrt{2} + 7}\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} - 3 \, \sqrt{2} + 3 \, \sqrt{5 \, \sqrt{2} + 7} - 1\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} \log\left(\frac{1}{2} \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + {\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 64 \, \sqrt{2} - 64 \, \sqrt{5 \, \sqrt{2} - 7} - 97\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 4 \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, \sqrt{2} + 5 \, \sqrt{5 \, \sqrt{2} - 7} + 18\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 33 \, \sqrt{2} + 33 \, \sqrt{5 \, \sqrt{2} - 7} + 55\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} \log\left(-\frac{1}{2} \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + {\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 64 \, \sqrt{2} - 64 \, \sqrt{5 \, \sqrt{2} - 7} - 97\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 4 \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, \sqrt{2} + 5 \, \sqrt{5 \, \sqrt{2} - 7} + 18\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 33 \, \sqrt{2} + 33 \, \sqrt{5 \, \sqrt{2} - 7} + 55\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} \log\left(\frac{1}{2} \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + {\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 64 \, \sqrt{2} - 64 \, \sqrt{5 \, \sqrt{2} - 7} - 97\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - 4 \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, \sqrt{2} + 5 \, \sqrt{5 \, \sqrt{2} - 7} + 18\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 33 \, \sqrt{2} + 33 \, \sqrt{5 \, \sqrt{2} - 7} + 55\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} \log\left(-\frac{1}{2} \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + {\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 64 \, \sqrt{2} - 64 \, \sqrt{5 \, \sqrt{2} - 7} - 97\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - 4 \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, \sqrt{2} + 5 \, \sqrt{5 \, \sqrt{2} - 7} + 18\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 33 \, \sqrt{2} + 33 \, \sqrt{5 \, \sqrt{2} - 7} + 55\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(\frac{1}{4} \, {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 2 \, {\left({\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 1\right)} {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 4 i \, \sqrt{2} - 4 \, \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} + 2 i \, \sqrt{2} - 2 \, \sqrt{4 i \, \sqrt{2} - 2} - 8\right)} \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(-\frac{1}{4} \, {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 2 \, {\left({\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 1\right)} {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 4 i \, \sqrt{2} - 4 \, \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} + 2 i \, \sqrt{2} - 2 \, \sqrt{4 i \, \sqrt{2} - 2} - 8\right)} \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(\frac{1}{4} \, {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 2 \, {\left({\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 1\right)} {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 4 i \, \sqrt{2} - 4 \, \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} + 2 i \, \sqrt{2} - 2 \, \sqrt{4 i \, \sqrt{2} - 2} - 8\right)} \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(-\frac{1}{4} \, {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 2 \, {\left({\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 1\right)} {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 4 i \, \sqrt{2} - 4 \, \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} + 2 i \, \sqrt{2} - 2 \, \sqrt{4 i \, \sqrt{2} - 2} - 8\right)} \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) - \frac{1}{2} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right)"," ",0,"-1/105*((135*x - 75*sqrt(x^2 + 1) - 8)*sqrt(x + sqrt(x^2 + 1)) + 6*x + 6*sqrt(x^2 + 1) + 16)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1/2*sqrt(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*log(((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 + 4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^3 + (4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 16*sqrt(2) + 16*sqrt(5*sqrt(2) + 7) - 19)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) - 16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 48*sqrt(2) + 48*sqrt(5*sqrt(2) + 7) - 63)*sqrt(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*log(-((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 + 4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^3 + (4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 16*sqrt(2) + 16*sqrt(5*sqrt(2) + 7) - 19)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) - 16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 48*sqrt(2) + 48*sqrt(5*sqrt(2) + 7) - 63)*sqrt(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)*log((4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^3 - 17*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 45*sqrt(2) + 45*sqrt(5*sqrt(2) + 7) - 62)*sqrt(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)*log(-(4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^3 - 17*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 45*sqrt(2) + 45*sqrt(5*sqrt(2) + 7) - 62)*sqrt(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*log(((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 + 16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^3 + (16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 64*sqrt(2) - 64*sqrt(5*sqrt(2) - 7) - 97)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) + 64*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 256*sqrt(2) - 256*sqrt(5*sqrt(2) - 7) - 373)*sqrt(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*log(-((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 + 16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^3 + (16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 64*sqrt(2) - 64*sqrt(5*sqrt(2) - 7) - 97)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) + 64*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 256*sqrt(2) - 256*sqrt(5*sqrt(2) - 7) - 373)*sqrt(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)*log((16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^3 + 69*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 289*sqrt(2) - 289*sqrt(5*sqrt(2) - 7) - 428)*sqrt(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)*log(-(16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^3 + 69*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 289*sqrt(2) - 289*sqrt(5*sqrt(2) - 7) - 428)*sqrt(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))*log((2*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 - 4*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 3*I*sqrt(2) - 3*sqrt(4*I*sqrt(2) - 2) + 2)*sqrt(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))*log(-(2*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 - 4*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 3*I*sqrt(2) - 3*sqrt(4*I*sqrt(2) - 2) + 2)*sqrt(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))*log((2*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 - (-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) - ((1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1)*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) + 2*I*sqrt(2) - 2*sqrt(4*I*sqrt(2) - 2) + 6)*sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))*log(-(2*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 - (-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) - ((1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1)*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) + 2*I*sqrt(2) - 2*sqrt(4*I*sqrt(2) - 2) + 6)*sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1)*log(1/2*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 + (4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 16*sqrt(2) + 16*sqrt(5*sqrt(2) + 7) - 19)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + (sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 + 4*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + sqrt(2) - sqrt(5*sqrt(2) + 7))*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) - 3*sqrt(2) + 3*sqrt(5*sqrt(2) + 7) - 1)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1)*log(-1/2*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 + (4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 16*sqrt(2) + 16*sqrt(5*sqrt(2) + 7) - 19)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + (sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 + 4*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + sqrt(2) - sqrt(5*sqrt(2) + 7))*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) - 3*sqrt(2) + 3*sqrt(5*sqrt(2) + 7) - 1)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1)*log(1/2*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 + (4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 16*sqrt(2) + 16*sqrt(5*sqrt(2) + 7) - 19)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + (sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 4*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + sqrt(2) - sqrt(5*sqrt(2) + 7))*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) - 3*sqrt(2) + 3*sqrt(5*sqrt(2) + 7) - 1)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1)*log(-1/2*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 + (4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 16*sqrt(2) + 16*sqrt(5*sqrt(2) + 7) - 19)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + (sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 4*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + sqrt(2) - sqrt(5*sqrt(2) + 7))*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) - 3*sqrt(2) + 3*sqrt(5*sqrt(2) + 7) - 1)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1)*log(1/2*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 + (16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 64*sqrt(2) - 64*sqrt(5*sqrt(2) - 7) - 97)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 4*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*sqrt(2) + 5*sqrt(5*sqrt(2) - 7) + 18)*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 33*sqrt(2) + 33*sqrt(5*sqrt(2) - 7) + 55)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1)*log(-1/2*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 + (16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 64*sqrt(2) - 64*sqrt(5*sqrt(2) - 7) - 97)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 4*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*sqrt(2) + 5*sqrt(5*sqrt(2) - 7) + 18)*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 33*sqrt(2) + 33*sqrt(5*sqrt(2) - 7) + 55)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1)*log(1/2*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 + (16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 64*sqrt(2) - 64*sqrt(5*sqrt(2) - 7) - 97)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 4*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*sqrt(2) + 5*sqrt(5*sqrt(2) - 7) + 18)*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 33*sqrt(2) + 33*sqrt(5*sqrt(2) - 7) + 55)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1)*log(-1/2*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 + (16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 64*sqrt(2) - 64*sqrt(5*sqrt(2) - 7) - 97)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 4*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*sqrt(2) + 5*sqrt(5*sqrt(2) - 7) + 18)*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 33*sqrt(2) + 33*sqrt(5*sqrt(2) - 7) + 55)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(1/4*(2*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 2*((1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1)*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8)*((I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 4*I*sqrt(2) - 4*sqrt(4*I*sqrt(2) - 2) + 4) + 2*I*sqrt(2) - 2*sqrt(4*I*sqrt(2) - 2) - 8)*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(-1/4*(2*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 2*((1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1)*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8)*((I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 4*I*sqrt(2) - 4*sqrt(4*I*sqrt(2) - 2) + 4) + 2*I*sqrt(2) - 2*sqrt(4*I*sqrt(2) - 2) - 8)*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(1/4*(2*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 2*((1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1)*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8)*((I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 4*I*sqrt(2) - 4*sqrt(4*I*sqrt(2) - 2) + 4) + 2*I*sqrt(2) - 2*sqrt(4*I*sqrt(2) - 2) - 8)*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(-1/4*(2*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 2*((1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1)*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8)*((I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 4*I*sqrt(2) - 4*sqrt(4*I*sqrt(2) - 2) + 4) + 2*I*sqrt(2) - 2*sqrt(4*I*sqrt(2) - 2) - 8)*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) - 1/2*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1)","B",0
3082,1,7760,0,2.227422," ","integrate((x^4+1)*(x+(x^2+1)^(1/2))^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^4+1),x, algorithm=""fricas"")","-\frac{1}{105} \, {\left({\left(135 \, x - 75 \, \sqrt{x^{2} + 1} - 8\right)} \sqrt{x + \sqrt{x^{2} + 1}} + 6 \, x + 6 \, \sqrt{x^{2} + 1} + 16\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1} \log\left({\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + 4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{3} + {\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 16 \, \sqrt{2} + 16 \, \sqrt{5 \, \sqrt{2} + 7} - 19\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} - 16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 48 \, \sqrt{2} + 48 \, \sqrt{5 \, \sqrt{2} + 7} - 63\right)} \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1} \log\left(-{\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + 4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{3} + {\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 16 \, \sqrt{2} + 16 \, \sqrt{5 \, \sqrt{2} + 7} - 19\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} - 16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 48 \, \sqrt{2} + 48 \, \sqrt{5 \, \sqrt{2} + 7} - 63\right)} \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1} \log\left({\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{3} - 17 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 45 \, \sqrt{2} + 45 \, \sqrt{5 \, \sqrt{2} + 7} - 62\right)} \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1} \log\left(-{\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{3} - 17 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 45 \, \sqrt{2} + 45 \, \sqrt{5 \, \sqrt{2} + 7} - 62\right)} \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1} \log\left({\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{3} + {\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 64 \, \sqrt{2} - 64 \, \sqrt{5 \, \sqrt{2} - 7} - 97\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} + 64 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 256 \, \sqrt{2} - 256 \, \sqrt{5 \, \sqrt{2} - 7} - 373\right)} \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1} \log\left(-{\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{3} + {\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 64 \, \sqrt{2} - 64 \, \sqrt{5 \, \sqrt{2} - 7} - 97\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} + 64 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 256 \, \sqrt{2} - 256 \, \sqrt{5 \, \sqrt{2} - 7} - 373\right)} \sqrt{\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1} \log\left({\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{3} + 69 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 289 \, \sqrt{2} - 289 \, \sqrt{5 \, \sqrt{2} - 7} - 428\right)} \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1} \log\left(-{\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{3} + 69 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 289 \, \sqrt{2} - 289 \, \sqrt{5 \, \sqrt{2} - 7} - 428\right)} \sqrt{\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} \log\left({\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} - 4 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 3 i \, \sqrt{2} - 3 \, \sqrt{4 i \, \sqrt{2} - 2} + 2\right)} \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} \log\left(-{\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} - 4 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + 3 i \, \sqrt{2} - 3 \, \sqrt{4 i \, \sqrt{2} - 2} + 2\right)} \sqrt{\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} \log\left({\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} - {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} - {\left({\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 1\right)} {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} + 2 i \, \sqrt{2} - 2 \, \sqrt{4 i \, \sqrt{2} - 2} + 6\right)} \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(-{\left(2 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{3} - {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} - {\left({\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 1\right)} {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} + 2 i \, \sqrt{2} - 2 \, \sqrt{4 i \, \sqrt{2} - 2} + 6\right)} \sqrt{-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}} + 6 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} \log\left(\frac{1}{2} \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + {\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 16 \, \sqrt{2} + 16 \, \sqrt{5 \, \sqrt{2} + 7} - 19\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + 4 \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + \sqrt{2} - \sqrt{5 \, \sqrt{2} + 7}\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} - 3 \, \sqrt{2} + 3 \, \sqrt{5 \, \sqrt{2} + 7} - 1\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} \log\left(-\frac{1}{2} \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + {\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 16 \, \sqrt{2} + 16 \, \sqrt{5 \, \sqrt{2} + 7} - 19\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + 4 \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + \sqrt{2} - \sqrt{5 \, \sqrt{2} + 7}\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} - 3 \, \sqrt{2} + 3 \, \sqrt{5 \, \sqrt{2} + 7} - 1\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} \log\left(\frac{1}{2} \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + {\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 16 \, \sqrt{2} + 16 \, \sqrt{5 \, \sqrt{2} + 7} - 19\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 4 \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + \sqrt{2} - \sqrt{5 \, \sqrt{2} + 7}\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} - 3 \, \sqrt{2} + 3 \, \sqrt{5 \, \sqrt{2} + 7} - 1\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} \log\left(-\frac{1}{2} \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} + {\left(4 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 16 \, \sqrt{2} + 16 \, \sqrt{5 \, \sqrt{2} + 7} - 19\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - 4 \, {\left({\left(4 \, \sqrt{2} - 4 \, \sqrt{5 \, \sqrt{2} + 7} + 5\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} + \sqrt{2} - \sqrt{5 \, \sqrt{2} + 7}\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} - 3 \, \sqrt{2} + 3 \, \sqrt{5 \, \sqrt{2} + 7} - 1\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} + 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} + 7} + 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} + 7} - 3\right)} + \frac{1}{2} \, \sqrt{2} - \frac{1}{2} \, \sqrt{5 \, \sqrt{2} + 7} + \frac{9}{2}} + 1} + 5 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} \log\left(\frac{1}{2} \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + {\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 64 \, \sqrt{2} - 64 \, \sqrt{5 \, \sqrt{2} - 7} - 97\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 4 \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, \sqrt{2} + 5 \, \sqrt{5 \, \sqrt{2} - 7} + 18\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 33 \, \sqrt{2} + 33 \, \sqrt{5 \, \sqrt{2} - 7} + 55\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} \log\left(-\frac{1}{2} \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + {\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 64 \, \sqrt{2} - 64 \, \sqrt{5 \, \sqrt{2} - 7} - 97\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 4 \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, \sqrt{2} + 5 \, \sqrt{5 \, \sqrt{2} - 7} + 18\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 33 \, \sqrt{2} + 33 \, \sqrt{5 \, \sqrt{2} - 7} + 55\right)} \sqrt{-\sqrt{2} + 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} \log\left(\frac{1}{2} \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + {\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 64 \, \sqrt{2} - 64 \, \sqrt{5 \, \sqrt{2} - 7} - 97\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - 4 \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, \sqrt{2} + 5 \, \sqrt{5 \, \sqrt{2} - 7} + 18\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 33 \, \sqrt{2} + 33 \, \sqrt{5 \, \sqrt{2} - 7} + 55\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} \log\left(-\frac{1}{2} \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + {\left(16 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} + 64 \, \sqrt{2} - 64 \, \sqrt{5 \, \sqrt{2} - 7} - 97\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - 4 \, {\left({\left(16 \, \sqrt{2} - 16 \, \sqrt{5 \, \sqrt{2} - 7} - 21\right)} {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} - 5 \, \sqrt{2} + 5 \, \sqrt{5 \, \sqrt{2} - 7} + 18\right)} \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 33 \, \sqrt{2} + 33 \, \sqrt{5 \, \sqrt{2} - 7} + 55\right)} \sqrt{-\sqrt{2} - 2 \, \sqrt{-\frac{3}{16} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{8} \, {\left(\sqrt{2} + \sqrt{5 \, \sqrt{2} - 7} - 1\right)} {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} + 3\right)} - \frac{3}{16} \, {\left(\sqrt{2} - \sqrt{5 \, \sqrt{2} - 7} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{2} + \frac{1}{2} \, \sqrt{5 \, \sqrt{2} - 7} - \frac{5}{2}} - 1} + 61 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(\frac{1}{4} \, {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 2 \, {\left({\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 1\right)} {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 4 i \, \sqrt{2} - 4 \, \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} + 2 i \, \sqrt{2} - 2 \, \sqrt{4 i \, \sqrt{2} - 2} - 8\right)} \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(-\frac{1}{4} \, {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 2 \, {\left({\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 1\right)} {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 4 i \, \sqrt{2} - 4 \, \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} + 2 i \, \sqrt{2} - 2 \, \sqrt{4 i \, \sqrt{2} - 2} - 8\right)} \sqrt{2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(\frac{1}{4} \, {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 2 \, {\left({\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 1\right)} {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 4 i \, \sqrt{2} - 4 \, \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} + 2 i \, \sqrt{2} - 2 \, \sqrt{4 i \, \sqrt{2} - 2} - 8\right)} \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - \frac{1}{2} \, \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} \log\left(-\frac{1}{4} \, {\left(2 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 2 \, {\left({\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 1\right)} {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} - 8 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} + \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} {\left({\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2} - 4\right)} + 4 i \, \sqrt{2} - 4 \, \sqrt{4 i \, \sqrt{2} - 2} + 4\right)} + 2 i \, \sqrt{2} - 2 \, \sqrt{4 i \, \sqrt{2} - 2} - 8\right)} \sqrt{-2 \, \sqrt{-3 \, {\left(\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{4 i \, \sqrt{2} - 2}\right)}^{2} - 3 \, {\left(-\frac{1}{2} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-4 i \, \sqrt{2} - 2}\right)}^{2} - \frac{1}{2} \, {\left(i \, \sqrt{2} + \sqrt{-4 i \, \sqrt{2} - 2}\right)} {\left(-i \, \sqrt{2} + \sqrt{4 i \, \sqrt{2} - 2}\right)} - 8} + \sqrt{4 i \, \sqrt{2} - 2} + \sqrt{-4 i \, \sqrt{2} - 2}} + 12 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + \frac{1}{2} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) - \frac{1}{2} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right)"," ",0,"-1/105*((135*x - 75*sqrt(x^2 + 1) - 8)*sqrt(x + sqrt(x^2 + 1)) + 6*x + 6*sqrt(x^2 + 1) + 16)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1/2*sqrt(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*log(((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 + 4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^3 + (4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 16*sqrt(2) + 16*sqrt(5*sqrt(2) + 7) - 19)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) - 16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 48*sqrt(2) + 48*sqrt(5*sqrt(2) + 7) - 63)*sqrt(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*log(-((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 + 4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^3 + (4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 16*sqrt(2) + 16*sqrt(5*sqrt(2) + 7) - 19)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) - 16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 48*sqrt(2) + 48*sqrt(5*sqrt(2) + 7) - 63)*sqrt(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)*log((4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^3 - 17*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 45*sqrt(2) + 45*sqrt(5*sqrt(2) + 7) - 62)*sqrt(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)*log(-(4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^3 - 17*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 45*sqrt(2) + 45*sqrt(5*sqrt(2) + 7) - 62)*sqrt(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*log(((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 + 16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^3 + (16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 64*sqrt(2) - 64*sqrt(5*sqrt(2) - 7) - 97)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) + 64*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 256*sqrt(2) - 256*sqrt(5*sqrt(2) - 7) - 373)*sqrt(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*log(-((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 + 16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^3 + (16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 64*sqrt(2) - 64*sqrt(5*sqrt(2) - 7) - 97)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) + 64*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 256*sqrt(2) - 256*sqrt(5*sqrt(2) - 7) - 373)*sqrt(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)*log((16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^3 + 69*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 289*sqrt(2) - 289*sqrt(5*sqrt(2) - 7) - 428)*sqrt(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)*log(-(16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^3 + 69*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 289*sqrt(2) - 289*sqrt(5*sqrt(2) - 7) - 428)*sqrt(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))*log((2*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 - 4*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 3*I*sqrt(2) - 3*sqrt(4*I*sqrt(2) - 2) + 2)*sqrt(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))*log(-(2*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 - 4*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + 3*I*sqrt(2) - 3*sqrt(4*I*sqrt(2) - 2) + 2)*sqrt(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))*log((2*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 - (-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) - ((1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1)*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) + 2*I*sqrt(2) - 2*sqrt(4*I*sqrt(2) - 2) + 6)*sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))*log(-(2*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^3 - (-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) - ((1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1)*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) + 2*I*sqrt(2) - 2*sqrt(4*I*sqrt(2) - 2) + 6)*sqrt(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2)) + 6*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1)*log(1/2*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 + (4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 16*sqrt(2) + 16*sqrt(5*sqrt(2) + 7) - 19)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + (sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 + 4*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + sqrt(2) - sqrt(5*sqrt(2) + 7))*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) - 3*sqrt(2) + 3*sqrt(5*sqrt(2) + 7) - 1)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1)*log(-1/2*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 + (4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 16*sqrt(2) + 16*sqrt(5*sqrt(2) + 7) - 19)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + (sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 + 4*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + sqrt(2) - sqrt(5*sqrt(2) + 7))*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) - 3*sqrt(2) + 3*sqrt(5*sqrt(2) + 7) - 1)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1)*log(1/2*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 + (4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 16*sqrt(2) + 16*sqrt(5*sqrt(2) + 7) - 19)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + (sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 4*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + sqrt(2) - sqrt(5*sqrt(2) + 7))*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) - 3*sqrt(2) + 3*sqrt(5*sqrt(2) + 7) - 1)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1)*log(-1/2*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 + (4*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 16*sqrt(2) + 16*sqrt(5*sqrt(2) + 7) - 19)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + (sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 4*((4*sqrt(2) - 4*sqrt(5*sqrt(2) + 7) + 5)*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1) + sqrt(2) - sqrt(5*sqrt(2) + 7))*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) - 3*sqrt(2) + 3*sqrt(5*sqrt(2) + 7) - 1)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)^2 - 3/16*(sqrt(2) - sqrt(5*sqrt(2) + 7) + 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) + 7) + 1)*(sqrt(2) - sqrt(5*sqrt(2) + 7) - 3) + 1/2*sqrt(2) - 1/2*sqrt(5*sqrt(2) + 7) + 9/2) + 1) + 5*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1)*log(1/2*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 + (16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 64*sqrt(2) - 64*sqrt(5*sqrt(2) - 7) - 97)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 4*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*sqrt(2) + 5*sqrt(5*sqrt(2) - 7) + 18)*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 33*sqrt(2) + 33*sqrt(5*sqrt(2) - 7) + 55)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1)*log(-1/2*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 + (16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 64*sqrt(2) - 64*sqrt(5*sqrt(2) - 7) - 97)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 4*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*sqrt(2) + 5*sqrt(5*sqrt(2) - 7) + 18)*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 33*sqrt(2) + 33*sqrt(5*sqrt(2) - 7) + 55)*sqrt(-sqrt(2) + 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1)*log(1/2*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 + (16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 64*sqrt(2) - 64*sqrt(5*sqrt(2) - 7) - 97)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 4*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*sqrt(2) + 5*sqrt(5*sqrt(2) - 7) + 18)*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 33*sqrt(2) + 33*sqrt(5*sqrt(2) - 7) + 55)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1)*log(-1/2*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 + (16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 + 64*sqrt(2) - 64*sqrt(5*sqrt(2) - 7) - 97)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 4*((16*sqrt(2) - 16*sqrt(5*sqrt(2) - 7) - 21)*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1) - 5*sqrt(2) + 5*sqrt(5*sqrt(2) - 7) + 18)*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 33*sqrt(2) + 33*sqrt(5*sqrt(2) - 7) + 55)*sqrt(-sqrt(2) - 2*sqrt(-3/16*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)^2 - 1/8*(sqrt(2) + sqrt(5*sqrt(2) - 7) - 1)*(sqrt(2) - sqrt(5*sqrt(2) - 7) + 3) - 3/16*(sqrt(2) - sqrt(5*sqrt(2) - 7) - 1)^2 - 1/2*sqrt(2) + 1/2*sqrt(5*sqrt(2) - 7) - 5/2) - 1) + 61*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(1/4*(2*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 2*((1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1)*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8)*((I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 4*I*sqrt(2) - 4*sqrt(4*I*sqrt(2) - 2) + 4) + 2*I*sqrt(2) - 2*sqrt(4*I*sqrt(2) - 2) - 8)*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(-1/4*(2*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 2*((1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1)*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8)*((I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 4*I*sqrt(2) - 4*sqrt(4*I*sqrt(2) - 2) + 4) + 2*I*sqrt(2) - 2*sqrt(4*I*sqrt(2) - 2) - 8)*sqrt(2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(1/4*(2*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 2*((1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1)*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8)*((I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 4*I*sqrt(2) - 4*sqrt(4*I*sqrt(2) - 2) + 4) + 2*I*sqrt(2) - 2*sqrt(4*I*sqrt(2) - 2) - 8)*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 1/2*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2))*log(-1/4*(2*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 2*((1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 1)*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2)) - 8*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 + sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8)*((I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2) - 4) + 4*I*sqrt(2) - 4*sqrt(4*I*sqrt(2) - 2) + 4) + 2*I*sqrt(2) - 2*sqrt(4*I*sqrt(2) - 2) - 8)*sqrt(-2*sqrt(-3*(1/2*I*sqrt(2) - 1/2*sqrt(4*I*sqrt(2) - 2))^2 - 3*(-1/2*I*sqrt(2) - 1/2*sqrt(-4*I*sqrt(2) - 2))^2 - 1/2*(I*sqrt(2) + sqrt(-4*I*sqrt(2) - 2))*(-I*sqrt(2) + sqrt(4*I*sqrt(2) - 2)) - 8) + sqrt(4*I*sqrt(2) - 2) + sqrt(-4*I*sqrt(2) - 2)) + 12*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 1/2*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) - 1/2*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1)","B",0
3083,1,554,0,0.583994," ","integrate((a^2*x^2+b)^(1/2)*(c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{315 \, {\left(256 \, b c^{4} - 5 \, b^{2}\right)} \sqrt{c} \log\left(2 \, {\left(a \sqrt{c} x - \sqrt{a^{2} x^{2} + b} \sqrt{c}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}} - 2 \, {\left(a c x - \sqrt{a^{2} x^{2} + b} c\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} + b\right) - 2 \, {\left(2048 \, c^{8} + 1120 \, a^{2} c^{4} x^{2} - 80080 \, b c^{4} + 6 \, {\left(128 \, a c^{6} + 175 \, a b c^{2}\right)} x + 2 \, {\left(384 \, c^{6} - 9520 \, a c^{4} x - 525 \, b c^{2}\right)} \sqrt{a^{2} x^{2} + b} - {\left(1024 \, c^{7} - 1680 \, a^{2} c^{3} x^{2} - 840 \, b c^{3} + 5 \, {\left(128 \, a c^{5} + 315 \, a b c\right)} x + 5 \, {\left(128 \, c^{5} + 336 \, a c^{3} x - 315 \, b c\right)} \sqrt{a^{2} x^{2} + b}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{80640 \, a c^{4}}, \frac{315 \, {\left(256 \, b c^{4} - 5 \, b^{2}\right)} \sqrt{-c} \arctan\left(\frac{\sqrt{-c} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{c}\right) - {\left(2048 \, c^{8} + 1120 \, a^{2} c^{4} x^{2} - 80080 \, b c^{4} + 6 \, {\left(128 \, a c^{6} + 175 \, a b c^{2}\right)} x + 2 \, {\left(384 \, c^{6} - 9520 \, a c^{4} x - 525 \, b c^{2}\right)} \sqrt{a^{2} x^{2} + b} - {\left(1024 \, c^{7} - 1680 \, a^{2} c^{3} x^{2} - 840 \, b c^{3} + 5 \, {\left(128 \, a c^{5} + 315 \, a b c\right)} x + 5 \, {\left(128 \, c^{5} + 336 \, a c^{3} x - 315 \, b c\right)} \sqrt{a^{2} x^{2} + b}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{40320 \, a c^{4}}\right]"," ",0,"[1/80640*(315*(256*b*c^4 - 5*b^2)*sqrt(c)*log(2*(a*sqrt(c)*x - sqrt(a^2*x^2 + b)*sqrt(c))*sqrt(a*x + sqrt(a^2*x^2 + b))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b))) - 2*(a*c*x - sqrt(a^2*x^2 + b)*c)*sqrt(a*x + sqrt(a^2*x^2 + b)) + b) - 2*(2048*c^8 + 1120*a^2*c^4*x^2 - 80080*b*c^4 + 6*(128*a*c^6 + 175*a*b*c^2)*x + 2*(384*c^6 - 9520*a*c^4*x - 525*b*c^2)*sqrt(a^2*x^2 + b) - (1024*c^7 - 1680*a^2*c^3*x^2 - 840*b*c^3 + 5*(128*a*c^5 + 315*a*b*c)*x + 5*(128*c^5 + 336*a*c^3*x - 315*b*c)*sqrt(a^2*x^2 + b))*sqrt(a*x + sqrt(a^2*x^2 + b)))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b))))/(a*c^4), 1/40320*(315*(256*b*c^4 - 5*b^2)*sqrt(-c)*arctan(sqrt(-c)*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))/c) - (2048*c^8 + 1120*a^2*c^4*x^2 - 80080*b*c^4 + 6*(128*a*c^6 + 175*a*b*c^2)*x + 2*(384*c^6 - 9520*a*c^4*x - 525*b*c^2)*sqrt(a^2*x^2 + b) - (1024*c^7 - 1680*a^2*c^3*x^2 - 840*b*c^3 + 5*(128*a*c^5 + 315*a*b*c)*x + 5*(128*c^5 + 336*a*c^3*x - 315*b*c)*sqrt(a^2*x^2 + b))*sqrt(a*x + sqrt(a^2*x^2 + b)))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b))))/(a*c^4)]","A",0
3084,1,652,0,0.506335," ","integrate(((x^6-13*x^5+65*x^4-150*x^3+135*x^2+27*x-81)^3)^(1/2)/(-1+x),x, algorithm=""fricas"")","\frac{4819349233 \, x^{8} - 91567635427 \, x^{7} + 732541083416 \, x^{6} - 3166312446081 \, x^{5} + 7807345757460 \, x^{4} - 10279671913989 \, x^{3} + 4684407454476 \, x^{2} + 42278584320 \, {\left(x^{8} - 19 \, x^{7} + 152 \, x^{6} - 657 \, x^{5} + 1620 \, x^{4} - 2133 \, x^{3} + 972 \, x^{2} + 729 \, x - 729\right)} \arctan\left(-\frac{x^{9} - 20 \, x^{8} + 171 \, x^{7} - 809 \, x^{6} + 2277 \, x^{5} - 3753 \, x^{4} + 3105 \, x^{3} - 243 \, x^{2} - 1458 \, x - \sqrt{x^{18} - 39 \, x^{17} + 702 \, x^{16} - 7717 \, x^{15} + 57735 \, x^{14} - 309774 \, x^{13} + 1221371 \, x^{12} - 3554163 \, x^{11} + 7498953 \, x^{10} - 10819710 \, x^{9} + 8764767 \, x^{8} + 592677 \, x^{7} - 10219851 \, x^{6} + 9880866 \, x^{5} - 885735 \, x^{4} - 4704237 \, x^{3} + 2480058 \, x^{2} + 531441 \, x - 531441} + 729}{x^{8} - 19 \, x^{7} + 152 \, x^{6} - 657 \, x^{5} + 1620 \, x^{4} - 2133 \, x^{3} + 972 \, x^{2} + 729 \, x - 729}\right) + 98033276880 \, {\left(x^{8} - 19 \, x^{7} + 152 \, x^{6} - 657 \, x^{5} + 1620 \, x^{4} - 2133 \, x^{3} + 972 \, x^{2} + 729 \, x - 729\right)} \log\left(-\frac{2 \, x^{9} - 39 \, x^{8} + 323 \, x^{7} - 1466 \, x^{6} + 3897 \, x^{5} - 5886 \, x^{4} + 4077 \, x^{3} + 486 \, x^{2} - 2187 \, x - 2 \, \sqrt{x^{18} - 39 \, x^{17} + 702 \, x^{16} - 7717 \, x^{15} + 57735 \, x^{14} - 309774 \, x^{13} + 1221371 \, x^{12} - 3554163 \, x^{11} + 7498953 \, x^{10} - 10819710 \, x^{9} + 8764767 \, x^{8} + 592677 \, x^{7} - 10219851 \, x^{6} + 9880866 \, x^{5} - 885735 \, x^{4} - 4704237 \, x^{3} + 2480058 \, x^{2} + 531441 \, x - 531441} + 729}{x^{8} - 19 \, x^{7} + 152 \, x^{6} - 657 \, x^{5} + 1620 \, x^{4} - 2133 \, x^{3} + 972 \, x^{2} + 729 \, x - 729}\right) + 32 \, \sqrt{x^{18} - 39 \, x^{17} + 702 \, x^{16} - 7717 \, x^{15} + 57735 \, x^{14} - 309774 \, x^{13} + 1221371 \, x^{12} - 3554163 \, x^{11} + 7498953 \, x^{10} - 10819710 \, x^{9} + 8764767 \, x^{8} + 592677 \, x^{7} - 10219851 \, x^{6} + 9880866 \, x^{5} - 885735 \, x^{4} - 4704237 \, x^{3} + 2480058 \, x^{2} + 531441 \, x - 531441} {\left(1146880 \, x^{8} - 23296000 \, x^{7} + 199009280 \, x^{6} - 910869760 \, x^{5} + 2304529024 \, x^{4} - 2700564848 \, x^{3} - 508033624 \, x^{2} + 4423205098 \, x - 1245336401\right)} + 3513305590857 \, x - 3513305590857}{330301440 \, {\left(x^{8} - 19 \, x^{7} + 152 \, x^{6} - 657 \, x^{5} + 1620 \, x^{4} - 2133 \, x^{3} + 972 \, x^{2} + 729 \, x - 729\right)}}"," ",0,"1/330301440*(4819349233*x^8 - 91567635427*x^7 + 732541083416*x^6 - 3166312446081*x^5 + 7807345757460*x^4 - 10279671913989*x^3 + 4684407454476*x^2 + 42278584320*(x^8 - 19*x^7 + 152*x^6 - 657*x^5 + 1620*x^4 - 2133*x^3 + 972*x^2 + 729*x - 729)*arctan(-(x^9 - 20*x^8 + 171*x^7 - 809*x^6 + 2277*x^5 - 3753*x^4 + 3105*x^3 - 243*x^2 - 1458*x - sqrt(x^18 - 39*x^17 + 702*x^16 - 7717*x^15 + 57735*x^14 - 309774*x^13 + 1221371*x^12 - 3554163*x^11 + 7498953*x^10 - 10819710*x^9 + 8764767*x^8 + 592677*x^7 - 10219851*x^6 + 9880866*x^5 - 885735*x^4 - 4704237*x^3 + 2480058*x^2 + 531441*x - 531441) + 729)/(x^8 - 19*x^7 + 152*x^6 - 657*x^5 + 1620*x^4 - 2133*x^3 + 972*x^2 + 729*x - 729)) + 98033276880*(x^8 - 19*x^7 + 152*x^6 - 657*x^5 + 1620*x^4 - 2133*x^3 + 972*x^2 + 729*x - 729)*log(-(2*x^9 - 39*x^8 + 323*x^7 - 1466*x^6 + 3897*x^5 - 5886*x^4 + 4077*x^3 + 486*x^2 - 2187*x - 2*sqrt(x^18 - 39*x^17 + 702*x^16 - 7717*x^15 + 57735*x^14 - 309774*x^13 + 1221371*x^12 - 3554163*x^11 + 7498953*x^10 - 10819710*x^9 + 8764767*x^8 + 592677*x^7 - 10219851*x^6 + 9880866*x^5 - 885735*x^4 - 4704237*x^3 + 2480058*x^2 + 531441*x - 531441) + 729)/(x^8 - 19*x^7 + 152*x^6 - 657*x^5 + 1620*x^4 - 2133*x^3 + 972*x^2 + 729*x - 729)) + 32*sqrt(x^18 - 39*x^17 + 702*x^16 - 7717*x^15 + 57735*x^14 - 309774*x^13 + 1221371*x^12 - 3554163*x^11 + 7498953*x^10 - 10819710*x^9 + 8764767*x^8 + 592677*x^7 - 10219851*x^6 + 9880866*x^5 - 885735*x^4 - 4704237*x^3 + 2480058*x^2 + 531441*x - 531441)*(1146880*x^8 - 23296000*x^7 + 199009280*x^6 - 910869760*x^5 + 2304529024*x^4 - 2700564848*x^3 - 508033624*x^2 + 4423205098*x - 1245336401) + 3513305590857*x - 3513305590857)/(x^8 - 19*x^7 + 152*x^6 - 657*x^5 + 1620*x^4 - 2133*x^3 + 972*x^2 + 729*x - 729)","A",0
3085,-1,0,0,0.000000," ","integrate((x^4+x^2+1)^2*(x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2)/(x^4+x^2-1)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3086,-1,0,0,0.000000," ","integrate((x^4+x^2+1)^2*(x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2)/(x^4+x^2-1)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3087,-1,0,0,0.000000," ","integrate((p*x^4-q)*(p*x^4+q)^(1/2)/x^2/(a*p*x^4+b*x^2+a*q),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3088,1,437,0,0.522461," ","integrate((a^3*x^3+b^2*x^2)^(1/3)/(a*x+b),x, algorithm=""fricas"")","\frac{6 \, \sqrt{3} a^{2} b \left(-\frac{a^{2} - b}{a^{2}}\right)^{\frac{1}{3}} \arctan\left(-\frac{\sqrt{3} {\left(a^{2} - b\right)} x + 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} a \left(-\frac{a^{2} - b}{a^{2}}\right)^{\frac{2}{3}}}{3 \, {\left(a^{2} - b\right)} x}\right) + 6 \, a^{2} b \left(-\frac{a^{2} - b}{a^{2}}\right)^{\frac{1}{3}} \log\left(\frac{a x \left(-\frac{a^{2} - b}{a^{2}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - 3 \, a^{2} b \left(-\frac{a^{2} - b}{a^{2}}\right)^{\frac{1}{3}} \log\left(\frac{a^{2} x^{2} \left(-\frac{a^{2} - b}{a^{2}}\right)^{\frac{2}{3}} - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} a x \left(-\frac{a^{2} - b}{a^{2}}\right)^{\frac{1}{3}} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right) - 2 \, \sqrt{3} {\left(3 \, a^{2} b - b^{2}\right)} \arctan\left(\frac{\sqrt{3} a x + 2 \, \sqrt{3} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{3 \, a x}\right) + 6 \, {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} a^{2} + 2 \, {\left(3 \, a^{2} b - b^{2}\right)} \log\left(-\frac{a x - {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{x}\right) - {\left(3 \, a^{2} b - b^{2}\right)} \log\left(\frac{a^{2} x^{2} + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} a x + {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{6 \, a^{3}}"," ",0,"1/6*(6*sqrt(3)*a^2*b*(-(a^2 - b)/a^2)^(1/3)*arctan(-1/3*(sqrt(3)*(a^2 - b)*x + 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3)*a*(-(a^2 - b)/a^2)^(2/3))/((a^2 - b)*x)) + 6*a^2*b*(-(a^2 - b)/a^2)^(1/3)*log((a*x*(-(a^2 - b)/a^2)^(1/3) + (a^3*x^3 + b^2*x^2)^(1/3))/x) - 3*a^2*b*(-(a^2 - b)/a^2)^(1/3)*log((a^2*x^2*(-(a^2 - b)/a^2)^(2/3) - (a^3*x^3 + b^2*x^2)^(1/3)*a*x*(-(a^2 - b)/a^2)^(1/3) + (a^3*x^3 + b^2*x^2)^(2/3))/x^2) - 2*sqrt(3)*(3*a^2*b - b^2)*arctan(1/3*(sqrt(3)*a*x + 2*sqrt(3)*(a^3*x^3 + b^2*x^2)^(1/3))/(a*x)) + 6*(a^3*x^3 + b^2*x^2)^(1/3)*a^2 + 2*(3*a^2*b - b^2)*log(-(a*x - (a^3*x^3 + b^2*x^2)^(1/3))/x) - (3*a^2*b - b^2)*log((a^2*x^2 + (a^3*x^3 + b^2*x^2)^(1/3)*a*x + (a^3*x^3 + b^2*x^2)^(2/3))/x^2))/a^3","A",0
3089,1,683,0,0.656144," ","integrate((a^2*x^2-b)^(3/2)*(a*x+(a^2*x^2-b)^(1/2))^(1/4)/x,x, algorithm=""fricas"")","2 \, \sqrt{2} \left(-b^{13}\right)^{\frac{1}{8}} \arctan\left(-\frac{b^{13} + \sqrt{2} \left(-b^{13}\right)^{\frac{3}{8}} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} b^{8} - \sqrt{2} \sqrt{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} b^{16} - \left(-b^{13}\right)^{\frac{1}{4}} b^{13} - \sqrt{2} \left(-b^{13}\right)^{\frac{5}{8}} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} b^{8}} \left(-b^{13}\right)^{\frac{3}{8}}}{b^{13}}\right) + 2 \, \sqrt{2} \left(-b^{13}\right)^{\frac{1}{8}} \arctan\left(\frac{b^{13} - \sqrt{2} \left(-b^{13}\right)^{\frac{3}{8}} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} b^{8} + \sqrt{2} \sqrt{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} b^{16} - \left(-b^{13}\right)^{\frac{1}{4}} b^{13} + \sqrt{2} \left(-b^{13}\right)^{\frac{5}{8}} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} b^{8}} \left(-b^{13}\right)^{\frac{3}{8}}}{b^{13}}\right) + \frac{1}{2} \, \sqrt{2} \left(-b^{13}\right)^{\frac{1}{8}} \log\left(4 \, \sqrt{a x + \sqrt{a^{2} x^{2} - b}} b^{16} - 4 \, \left(-b^{13}\right)^{\frac{1}{4}} b^{13} + 4 \, \sqrt{2} \left(-b^{13}\right)^{\frac{5}{8}} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} b^{8}\right) - \frac{1}{2} \, \sqrt{2} \left(-b^{13}\right)^{\frac{1}{8}} \log\left(4 \, \sqrt{a x + \sqrt{a^{2} x^{2} - b}} b^{16} - 4 \, \left(-b^{13}\right)^{\frac{1}{4}} b^{13} - 4 \, \sqrt{2} \left(-b^{13}\right)^{\frac{5}{8}} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} b^{8}\right) - \frac{4}{429} \, {\left(3 \, a^{3} x^{3} - 38 \, a b x - 4 \, {\left(9 \, a^{2} x^{2} - 38 \, b\right)} \sqrt{a^{2} x^{2} - b}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} - 4 \, \left(-b^{13}\right)^{\frac{1}{8}} \arctan\left(-\frac{\left(-b^{13}\right)^{\frac{3}{8}} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} b^{8} - \sqrt{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} b^{16} - \left(-b^{13}\right)^{\frac{1}{4}} b^{13}} \left(-b^{13}\right)^{\frac{3}{8}}}{b^{13}}\right) - \left(-b^{13}\right)^{\frac{1}{8}} \log\left({\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} b^{8} + \left(-b^{13}\right)^{\frac{5}{8}}\right) + \left(-b^{13}\right)^{\frac{1}{8}} \log\left({\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} b^{8} - \left(-b^{13}\right)^{\frac{5}{8}}\right)"," ",0,"2*sqrt(2)*(-b^13)^(1/8)*arctan(-(b^13 + sqrt(2)*(-b^13)^(3/8)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*b^8 - sqrt(2)*sqrt(sqrt(a*x + sqrt(a^2*x^2 - b))*b^16 - (-b^13)^(1/4)*b^13 - sqrt(2)*(-b^13)^(5/8)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*b^8)*(-b^13)^(3/8))/b^13) + 2*sqrt(2)*(-b^13)^(1/8)*arctan((b^13 - sqrt(2)*(-b^13)^(3/8)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*b^8 + sqrt(2)*sqrt(sqrt(a*x + sqrt(a^2*x^2 - b))*b^16 - (-b^13)^(1/4)*b^13 + sqrt(2)*(-b^13)^(5/8)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*b^8)*(-b^13)^(3/8))/b^13) + 1/2*sqrt(2)*(-b^13)^(1/8)*log(4*sqrt(a*x + sqrt(a^2*x^2 - b))*b^16 - 4*(-b^13)^(1/4)*b^13 + 4*sqrt(2)*(-b^13)^(5/8)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*b^8) - 1/2*sqrt(2)*(-b^13)^(1/8)*log(4*sqrt(a*x + sqrt(a^2*x^2 - b))*b^16 - 4*(-b^13)^(1/4)*b^13 - 4*sqrt(2)*(-b^13)^(5/8)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*b^8) - 4/429*(3*a^3*x^3 - 38*a*b*x - 4*(9*a^2*x^2 - 38*b)*sqrt(a^2*x^2 - b))*(a*x + sqrt(a^2*x^2 - b))^(1/4) - 4*(-b^13)^(1/8)*arctan(-((-b^13)^(3/8)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*b^8 - sqrt(sqrt(a*x + sqrt(a^2*x^2 - b))*b^16 - (-b^13)^(1/4)*b^13)*(-b^13)^(3/8))/b^13) - (-b^13)^(1/8)*log((a*x + sqrt(a^2*x^2 - b))^(1/4)*b^8 + (-b^13)^(5/8)) + (-b^13)^(1/8)*log((a*x + sqrt(a^2*x^2 - b))^(1/4)*b^8 - (-b^13)^(5/8))","A",0
3090,-1,0,0,0.000000," ","integrate((a*x^2+b^2)*(b+(a*x^2+b^2)^(1/2))^(1/2)/(a*x^2-b^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3091,1,842,0,0.579731," ","integrate((c*x^4+d)/x/(a^2*x^2-b)^(1/2)/(a*x+(a^2*x^2-b)^(1/2))^(1/4),x, algorithm=""fricas"")","-\frac{2860 \, \sqrt{2} \left(-\frac{d^{8}}{b^{5}}\right)^{\frac{1}{8}} a^{4} b \arctan\left(-\frac{d^{8} + \sqrt{2} \left(-\frac{d^{8}}{b^{5}}\right)^{\frac{5}{8}} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} b^{3} d^{3} - \sqrt{2} \sqrt{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} d^{6} - \sqrt{2} \left(-\frac{d^{8}}{b^{5}}\right)^{\frac{3}{8}} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} b^{2} d^{3} + \left(-\frac{d^{8}}{b^{5}}\right)^{\frac{3}{4}} b^{4}} \left(-\frac{d^{8}}{b^{5}}\right)^{\frac{5}{8}} b^{3}}{d^{8}}\right) + 2860 \, \sqrt{2} \left(-\frac{d^{8}}{b^{5}}\right)^{\frac{1}{8}} a^{4} b \arctan\left(\frac{d^{8} - \sqrt{2} \left(-\frac{d^{8}}{b^{5}}\right)^{\frac{5}{8}} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} b^{3} d^{3} + \sqrt{2} \sqrt{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} d^{6} + \sqrt{2} \left(-\frac{d^{8}}{b^{5}}\right)^{\frac{3}{8}} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} b^{2} d^{3} + \left(-\frac{d^{8}}{b^{5}}\right)^{\frac{3}{4}} b^{4}} \left(-\frac{d^{8}}{b^{5}}\right)^{\frac{5}{8}} b^{3}}{d^{8}}\right) - 715 \, \sqrt{2} \left(-\frac{d^{8}}{b^{5}}\right)^{\frac{1}{8}} a^{4} b \log\left(4 \, \sqrt{a x + \sqrt{a^{2} x^{2} - b}} d^{6} + 4 \, \sqrt{2} \left(-\frac{d^{8}}{b^{5}}\right)^{\frac{3}{8}} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} b^{2} d^{3} + 4 \, \left(-\frac{d^{8}}{b^{5}}\right)^{\frac{3}{4}} b^{4}\right) + 715 \, \sqrt{2} \left(-\frac{d^{8}}{b^{5}}\right)^{\frac{1}{8}} a^{4} b \log\left(4 \, \sqrt{a x + \sqrt{a^{2} x^{2} - b}} d^{6} - 4 \, \sqrt{2} \left(-\frac{d^{8}}{b^{5}}\right)^{\frac{3}{8}} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} b^{2} d^{3} + 4 \, \left(-\frac{d^{8}}{b^{5}}\right)^{\frac{3}{4}} b^{4}\right) - 5720 \, \left(-\frac{d^{8}}{b^{5}}\right)^{\frac{1}{8}} a^{4} b \arctan\left(-\frac{\left(-\frac{d^{8}}{b^{5}}\right)^{\frac{5}{8}} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} b^{3} d^{3} - \sqrt{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} d^{6} + \left(-\frac{d^{8}}{b^{5}}\right)^{\frac{3}{4}} b^{4}} \left(-\frac{d^{8}}{b^{5}}\right)^{\frac{5}{8}} b^{3}}{d^{8}}\right) + 1430 \, \left(-\frac{d^{8}}{b^{5}}\right)^{\frac{1}{8}} a^{4} b \log\left({\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} d^{3} + \left(-\frac{d^{8}}{b^{5}}\right)^{\frac{3}{8}} b^{2}\right) - 1430 \, \left(-\frac{d^{8}}{b^{5}}\right)^{\frac{1}{8}} a^{4} b \log\left({\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} d^{3} - \left(-\frac{d^{8}}{b^{5}}\right)^{\frac{3}{8}} b^{2}\right) + 8 \, {\left(55 \, a^{4} c x^{4} + 36 \, a^{2} b c x^{2} - 128 \, b^{2} c - {\left(55 \, a^{3} c x^{3} + 96 \, a b c x\right)} \sqrt{a^{2} x^{2} - b}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}}}{1430 \, a^{4} b}"," ",0,"-1/1430*(2860*sqrt(2)*(-d^8/b^5)^(1/8)*a^4*b*arctan(-(d^8 + sqrt(2)*(-d^8/b^5)^(5/8)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*b^3*d^3 - sqrt(2)*sqrt(sqrt(a*x + sqrt(a^2*x^2 - b))*d^6 - sqrt(2)*(-d^8/b^5)^(3/8)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*b^2*d^3 + (-d^8/b^5)^(3/4)*b^4)*(-d^8/b^5)^(5/8)*b^3)/d^8) + 2860*sqrt(2)*(-d^8/b^5)^(1/8)*a^4*b*arctan((d^8 - sqrt(2)*(-d^8/b^5)^(5/8)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*b^3*d^3 + sqrt(2)*sqrt(sqrt(a*x + sqrt(a^2*x^2 - b))*d^6 + sqrt(2)*(-d^8/b^5)^(3/8)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*b^2*d^3 + (-d^8/b^5)^(3/4)*b^4)*(-d^8/b^5)^(5/8)*b^3)/d^8) - 715*sqrt(2)*(-d^8/b^5)^(1/8)*a^4*b*log(4*sqrt(a*x + sqrt(a^2*x^2 - b))*d^6 + 4*sqrt(2)*(-d^8/b^5)^(3/8)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*b^2*d^3 + 4*(-d^8/b^5)^(3/4)*b^4) + 715*sqrt(2)*(-d^8/b^5)^(1/8)*a^4*b*log(4*sqrt(a*x + sqrt(a^2*x^2 - b))*d^6 - 4*sqrt(2)*(-d^8/b^5)^(3/8)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*b^2*d^3 + 4*(-d^8/b^5)^(3/4)*b^4) - 5720*(-d^8/b^5)^(1/8)*a^4*b*arctan(-((-d^8/b^5)^(5/8)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*b^3*d^3 - sqrt(sqrt(a*x + sqrt(a^2*x^2 - b))*d^6 + (-d^8/b^5)^(3/4)*b^4)*(-d^8/b^5)^(5/8)*b^3)/d^8) + 1430*(-d^8/b^5)^(1/8)*a^4*b*log((a*x + sqrt(a^2*x^2 - b))^(1/4)*d^3 + (-d^8/b^5)^(3/8)*b^2) - 1430*(-d^8/b^5)^(1/8)*a^4*b*log((a*x + sqrt(a^2*x^2 - b))^(1/4)*d^3 - (-d^8/b^5)^(3/8)*b^2) + 8*(55*a^4*c*x^4 + 36*a^2*b*c*x^2 - 128*b^2*c - (55*a^3*c*x^3 + 96*a*b*c*x)*sqrt(a^2*x^2 - b))*(a*x + sqrt(a^2*x^2 - b))^(3/4))/(a^4*b)","A",0
3092,1,770,0,0.531909," ","integrate((a^2*x^2-b)^(3/2)*(a*x+(a^2*x^2-b)^(1/2))^(1/4)/x^2,x, algorithm=""fricas"")","\frac{252 \, \sqrt{2} \left(-a^{8} b^{9}\right)^{\frac{1}{8}} x \arctan\left(-\frac{a^{8} b^{9} + \sqrt{2} \left(-a^{8} b^{9}\right)^{\frac{7}{8}} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} a b - \sqrt{2} \left(-a^{8} b^{9}\right)^{\frac{7}{8}} \sqrt{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} a^{2} b^{2} - \sqrt{2} \left(-a^{8} b^{9}\right)^{\frac{1}{8}} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} a b + \left(-a^{8} b^{9}\right)^{\frac{1}{4}}}}{a^{8} b^{9}}\right) + 252 \, \sqrt{2} \left(-a^{8} b^{9}\right)^{\frac{1}{8}} x \arctan\left(\frac{a^{8} b^{9} - \sqrt{2} \left(-a^{8} b^{9}\right)^{\frac{7}{8}} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} a b + \sqrt{2} \left(-a^{8} b^{9}\right)^{\frac{7}{8}} \sqrt{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} a^{2} b^{2} + \sqrt{2} \left(-a^{8} b^{9}\right)^{\frac{1}{8}} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} a b + \left(-a^{8} b^{9}\right)^{\frac{1}{4}}}}{a^{8} b^{9}}\right) + 63 \, \sqrt{2} \left(-a^{8} b^{9}\right)^{\frac{1}{8}} x \log\left(4 \, \sqrt{a x + \sqrt{a^{2} x^{2} - b}} a^{2} b^{2} + 4 \, \sqrt{2} \left(-a^{8} b^{9}\right)^{\frac{1}{8}} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} a b + 4 \, \left(-a^{8} b^{9}\right)^{\frac{1}{4}}\right) - 63 \, \sqrt{2} \left(-a^{8} b^{9}\right)^{\frac{1}{8}} x \log\left(4 \, \sqrt{a x + \sqrt{a^{2} x^{2} - b}} a^{2} b^{2} - 4 \, \sqrt{2} \left(-a^{8} b^{9}\right)^{\frac{1}{8}} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} a b + 4 \, \left(-a^{8} b^{9}\right)^{\frac{1}{4}}\right) + 504 \, \left(-a^{8} b^{9}\right)^{\frac{1}{8}} x \arctan\left(-\frac{\left(-a^{8} b^{9}\right)^{\frac{7}{8}} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} a b - \left(-a^{8} b^{9}\right)^{\frac{7}{8}} \sqrt{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} a^{2} b^{2} + \left(-a^{8} b^{9}\right)^{\frac{1}{4}}}}{a^{8} b^{9}}\right) + 126 \, \left(-a^{8} b^{9}\right)^{\frac{1}{8}} x \log\left({\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} a b + \left(-a^{8} b^{9}\right)^{\frac{1}{8}}\right) - 126 \, \left(-a^{8} b^{9}\right)^{\frac{1}{8}} x \log\left({\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} a b - \left(-a^{8} b^{9}\right)^{\frac{1}{8}}\right) - 8 \, {\left(4 \, a^{3} x^{3} + 439 \, a b x - {\left(32 \, a^{2} x^{2} + 63 \, b\right)} \sqrt{a^{2} x^{2} - b}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}}{504 \, x}"," ",0,"1/504*(252*sqrt(2)*(-a^8*b^9)^(1/8)*x*arctan(-(a^8*b^9 + sqrt(2)*(-a^8*b^9)^(7/8)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*a*b - sqrt(2)*(-a^8*b^9)^(7/8)*sqrt(sqrt(a*x + sqrt(a^2*x^2 - b))*a^2*b^2 - sqrt(2)*(-a^8*b^9)^(1/8)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*a*b + (-a^8*b^9)^(1/4)))/(a^8*b^9)) + 252*sqrt(2)*(-a^8*b^9)^(1/8)*x*arctan((a^8*b^9 - sqrt(2)*(-a^8*b^9)^(7/8)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*a*b + sqrt(2)*(-a^8*b^9)^(7/8)*sqrt(sqrt(a*x + sqrt(a^2*x^2 - b))*a^2*b^2 + sqrt(2)*(-a^8*b^9)^(1/8)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*a*b + (-a^8*b^9)^(1/4)))/(a^8*b^9)) + 63*sqrt(2)*(-a^8*b^9)^(1/8)*x*log(4*sqrt(a*x + sqrt(a^2*x^2 - b))*a^2*b^2 + 4*sqrt(2)*(-a^8*b^9)^(1/8)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*a*b + 4*(-a^8*b^9)^(1/4)) - 63*sqrt(2)*(-a^8*b^9)^(1/8)*x*log(4*sqrt(a*x + sqrt(a^2*x^2 - b))*a^2*b^2 - 4*sqrt(2)*(-a^8*b^9)^(1/8)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*a*b + 4*(-a^8*b^9)^(1/4)) + 504*(-a^8*b^9)^(1/8)*x*arctan(-((-a^8*b^9)^(7/8)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*a*b - (-a^8*b^9)^(7/8)*sqrt(sqrt(a*x + sqrt(a^2*x^2 - b))*a^2*b^2 + (-a^8*b^9)^(1/4)))/(a^8*b^9)) + 126*(-a^8*b^9)^(1/8)*x*log((a*x + sqrt(a^2*x^2 - b))^(1/4)*a*b + (-a^8*b^9)^(1/8)) - 126*(-a^8*b^9)^(1/8)*x*log((a*x + sqrt(a^2*x^2 - b))^(1/4)*a*b - (-a^8*b^9)^(1/8)) - 8*(4*a^3*x^3 + 439*a*b*x - (32*a^2*x^2 + 63*b)*sqrt(a^2*x^2 - b))*(a*x + sqrt(a^2*x^2 - b))^(1/4))/x","A",0
3093,1,323,0,0.501367," ","integrate((b-x)/((-a+x)*(-b+x)^2)^(1/3)/(a^2-b^2*d-2*(-b*d+a)*x+(1-d)*x^2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} {\left(d^{2}\right)}^{\frac{1}{6}} d \arctan\left(\frac{\sqrt{3} {\left(d^{2}\right)}^{\frac{1}{6}} {\left({\left(b^{2} d - 2 \, b d x + d x^{2}\right)} {\left(d^{2}\right)}^{\frac{1}{3}} + 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} {\left(d^{2}\right)}^{\frac{2}{3}}\right)}}{3 \, {\left(b^{2} d^{2} - 2 \, b d^{2} x + d^{2} x^{2}\right)}}\right) - 2 \, {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(-\frac{{\left(b^{2} - 2 \, b x + x^{2}\right)} {\left(d^{2}\right)}^{\frac{2}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d}{b^{2} - 2 \, b x + x^{2}}\right) + {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(-\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(a d - d x\right)} - {\left(b^{2} d - 2 \, b d x + d x^{2}\right)} {\left(d^{2}\right)}^{\frac{1}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} {\left(d^{2}\right)}^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}\right)}{4 \, {\left(a - b\right)} d^{2}}"," ",0,"1/4*(2*sqrt(3)*(d^2)^(1/6)*d*arctan(1/3*sqrt(3)*(d^2)^(1/6)*((b^2*d - 2*b*d*x + d*x^2)*(d^2)^(1/3) + 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*(d^2)^(2/3))/(b^2*d^2 - 2*b*d^2*x + d^2*x^2)) - 2*(d^2)^(2/3)*log(-((b^2 - 2*b*x + x^2)*(d^2)^(2/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d)/(b^2 - 2*b*x + x^2)) + (d^2)^(2/3)*log(-((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(a*d - d*x) - (b^2*d - 2*b*d*x + d*x^2)*(d^2)^(1/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*(d^2)^(2/3))/(b^2 - 2*b*x + x^2)))/((a - b)*d^2)","A",0
3094,1,323,0,0.490141," ","integrate((-b+x)/((-a+x)*(-b+x)^2)^(1/3)/(-a^2+b^2*d+2*(-b*d+a)*x+(-1+d)*x^2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} {\left(d^{2}\right)}^{\frac{1}{6}} d \arctan\left(\frac{\sqrt{3} {\left(d^{2}\right)}^{\frac{1}{6}} {\left({\left(b^{2} d - 2 \, b d x + d x^{2}\right)} {\left(d^{2}\right)}^{\frac{1}{3}} + 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} {\left(d^{2}\right)}^{\frac{2}{3}}\right)}}{3 \, {\left(b^{2} d^{2} - 2 \, b d^{2} x + d^{2} x^{2}\right)}}\right) - 2 \, {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(-\frac{{\left(b^{2} - 2 \, b x + x^{2}\right)} {\left(d^{2}\right)}^{\frac{2}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d}{b^{2} - 2 \, b x + x^{2}}\right) + {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(-\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(a d - d x\right)} - {\left(b^{2} d - 2 \, b d x + d x^{2}\right)} {\left(d^{2}\right)}^{\frac{1}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} {\left(d^{2}\right)}^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}\right)}{4 \, {\left(a - b\right)} d^{2}}"," ",0,"1/4*(2*sqrt(3)*(d^2)^(1/6)*d*arctan(1/3*sqrt(3)*(d^2)^(1/6)*((b^2*d - 2*b*d*x + d*x^2)*(d^2)^(1/3) + 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*(d^2)^(2/3))/(b^2*d^2 - 2*b*d^2*x + d^2*x^2)) - 2*(d^2)^(2/3)*log(-((b^2 - 2*b*x + x^2)*(d^2)^(2/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d)/(b^2 - 2*b*x + x^2)) + (d^2)^(2/3)*log(-((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(a*d - d*x) - (b^2*d - 2*b*d*x + d*x^2)*(d^2)^(1/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*(d^2)^(2/3))/(b^2 - 2*b*x + x^2)))/((a - b)*d^2)","A",0
3095,-1,0,0,0.000000," ","integrate((a*x^2+b^2)/(a*x^2-b^2)/(b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3096,1,662,0,0.675788," ","integrate(1/((-a+x)*(-b+x)^2)^(1/3)/(a-b*d+(-1+d)*x),x, algorithm=""fricas"")","\left[-\frac{\sqrt{3} d \sqrt{-\frac{1}{d^{\frac{2}{3}}}} \log\left(-\frac{b^{2} d + {\left(d + 2\right)} x^{2} + 2 \, a b + 3 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(b - x\right)} d^{\frac{2}{3}} - 2 \, {\left(b d + a + b\right)} x + \sqrt{3} {\left({\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(b d - d x\right)} - {\left(b^{2} d - 2 \, b d x + d x^{2}\right)} d^{\frac{1}{3}} + 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d^{\frac{2}{3}}\right)} \sqrt{-\frac{1}{d^{\frac{2}{3}}}}}{b^{2} d + {\left(d - 1\right)} x^{2} - a b - {\left(2 \, b d - a - b\right)} x}\right) - d^{\frac{2}{3}} \log\left(-\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(b - x\right)} d^{\frac{1}{3}} - {\left(b^{2} - 2 \, b x + x^{2}\right)} d^{\frac{2}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}\right) + 2 \, d^{\frac{2}{3}} \log\left(-\frac{{\left(b - x\right)} d^{\frac{1}{3}} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}}}{b - x}\right)}{2 \, {\left(a - b\right)} d}, -\frac{2 \, \sqrt{3} d^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left({\left(b - x\right)} d^{\frac{1}{3}} - 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}}\right)}}{3 \, {\left(b - x\right)} d^{\frac{1}{3}}}\right) - d^{\frac{2}{3}} \log\left(-\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(b - x\right)} d^{\frac{1}{3}} - {\left(b^{2} - 2 \, b x + x^{2}\right)} d^{\frac{2}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}\right) + 2 \, d^{\frac{2}{3}} \log\left(-\frac{{\left(b - x\right)} d^{\frac{1}{3}} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}}}{b - x}\right)}{2 \, {\left(a - b\right)} d}\right]"," ",0,"[-1/2*(sqrt(3)*d*sqrt(-1/d^(2/3))*log(-(b^2*d + (d + 2)*x^2 + 2*a*b + 3*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(b - x)*d^(2/3) - 2*(b*d + a + b)*x + sqrt(3)*((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(b*d - d*x) - (b^2*d - 2*b*d*x + d*x^2)*d^(1/3) + 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d^(2/3))*sqrt(-1/d^(2/3)))/(b^2*d + (d - 1)*x^2 - a*b - (2*b*d - a - b)*x)) - d^(2/3)*log(-((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(b - x)*d^(1/3) - (b^2 - 2*b*x + x^2)*d^(2/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3))/(b^2 - 2*b*x + x^2)) + 2*d^(2/3)*log(-((b - x)*d^(1/3) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3))/(b - x)))/((a - b)*d), -1/2*(2*sqrt(3)*d^(2/3)*arctan(1/3*sqrt(3)*((b - x)*d^(1/3) - 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3))/((b - x)*d^(1/3))) - d^(2/3)*log(-((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(b - x)*d^(1/3) - (b^2 - 2*b*x + x^2)*d^(2/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3))/(b^2 - 2*b*x + x^2)) + 2*d^(2/3)*log(-((b - x)*d^(1/3) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3))/(b - x)))/((a - b)*d)]","A",0
3097,-1,0,0,0.000000," ","integrate((a^2*x^4+b)^(1/2)*(a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(c*x^2+d),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3098,-1,0,0,0.000000," ","integrate((a^2*x^4+b)^(1/2)*(a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(c*x^2+d),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3099,-1,0,0,0.000000," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/(a*x+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3100,-1,0,0,0.000000," ","integrate(1/(_C4+((_C1*x+_C0)/(_C3*x+_C2))^(1/2)*_C5)^(1/2)/(_C7*x+_C6),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3101,1,755,0,0.633473," ","integrate((-b+x)/((-a+x)*(-b+x)^2)^(1/3)/(-b^2+a^2*d+2*(-a*d+b)*x+(-1+d)*x^2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{3} d \sqrt{\frac{\left(-d\right)^{\frac{1}{3}}}{d}} \log\left(\frac{2 \, a^{2} d + {\left(2 \, d + 1\right)} x^{2} + b^{2} - 2 \, {\left(2 \, a d + b\right)} x - \sqrt{3} {\left(2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(a d - d x\right)} - {\left(b^{2} - 2 \, b x + x^{2}\right)} \left(-d\right)^{\frac{1}{3}} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} \left(-d\right)^{\frac{2}{3}}\right)} \sqrt{\frac{\left(-d\right)^{\frac{1}{3}}}{d}} + 3 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} \left(-d\right)^{\frac{1}{3}}}{a^{2} d + {\left(d - 1\right)} x^{2} - b^{2} - 2 \, {\left(a d - b\right)} x}\right) - 2 \, \left(-d\right)^{\frac{2}{3}} \log\left(-\frac{{\left(b^{2} - 2 \, b x + x^{2}\right)} \left(-d\right)^{\frac{2}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d}{b^{2} - 2 \, b x + x^{2}}\right) + \left(-d\right)^{\frac{2}{3}} \log\left(-\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(a d - d x\right)} + {\left(b^{2} - 2 \, b x + x^{2}\right)} \left(-d\right)^{\frac{1}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} \left(-d\right)^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}\right)}{4 \, {\left(a - b\right)} d}, -\frac{2 \, \sqrt{3} d \sqrt{-\frac{\left(-d\right)^{\frac{1}{3}}}{d}} \arctan\left(-\frac{\sqrt{3} {\left({\left(b^{2} - 2 \, b x + x^{2}\right)} \left(-d\right)^{\frac{1}{3}} - 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} \left(-d\right)^{\frac{2}{3}}\right)} \sqrt{-\frac{\left(-d\right)^{\frac{1}{3}}}{d}}}{3 \, {\left(b^{2} - 2 \, b x + x^{2}\right)}}\right) - 2 \, \left(-d\right)^{\frac{2}{3}} \log\left(-\frac{{\left(b^{2} - 2 \, b x + x^{2}\right)} \left(-d\right)^{\frac{2}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d}{b^{2} - 2 \, b x + x^{2}}\right) + \left(-d\right)^{\frac{2}{3}} \log\left(-\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(a d - d x\right)} + {\left(b^{2} - 2 \, b x + x^{2}\right)} \left(-d\right)^{\frac{1}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} \left(-d\right)^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}\right)}{4 \, {\left(a - b\right)} d}\right]"," ",0,"[-1/4*(sqrt(3)*d*sqrt((-d)^(1/3)/d)*log((2*a^2*d + (2*d + 1)*x^2 + b^2 - 2*(2*a*d + b)*x - sqrt(3)*(2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(a*d - d*x) - (b^2 - 2*b*x + x^2)*(-d)^(1/3) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*(-d)^(2/3))*sqrt((-d)^(1/3)/d) + 3*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*(-d)^(1/3))/(a^2*d + (d - 1)*x^2 - b^2 - 2*(a*d - b)*x)) - 2*(-d)^(2/3)*log(-((b^2 - 2*b*x + x^2)*(-d)^(2/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d)/(b^2 - 2*b*x + x^2)) + (-d)^(2/3)*log(-((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(a*d - d*x) + (b^2 - 2*b*x + x^2)*(-d)^(1/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*(-d)^(2/3))/(b^2 - 2*b*x + x^2)))/((a - b)*d), -1/4*(2*sqrt(3)*d*sqrt(-(-d)^(1/3)/d)*arctan(-1/3*sqrt(3)*((b^2 - 2*b*x + x^2)*(-d)^(1/3) - 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*(-d)^(2/3))*sqrt(-(-d)^(1/3)/d)/(b^2 - 2*b*x + x^2)) - 2*(-d)^(2/3)*log(-((b^2 - 2*b*x + x^2)*(-d)^(2/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d)/(b^2 - 2*b*x + x^2)) + (-d)^(2/3)*log(-((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(a*d - d*x) + (b^2 - 2*b*x + x^2)*(-d)^(1/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*(-d)^(2/3))/(b^2 - 2*b*x + x^2)))/((a - b)*d)]","A",0
3102,-1,0,0,0.000000," ","integrate((a*x^2+b^2)^2/(a*x^2-b^2)^2/(b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3103,-1,0,0,0.000000," ","integrate((a*x+(a*x-b)^(1/2))^(1/2)/(a*x-b)^(1/2)/(a^2*x^2+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3104,1,3408,0,1.503229," ","integrate((x^4+1)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^4+1),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 2\right)} \arctan\left(\frac{1}{2} \, \sqrt{\sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \, \sqrt{\sqrt{2} + 2} + 2} {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} + \frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} - \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)}\right) + \frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 2\right)} \arctan\left(\frac{1}{2} \, \sqrt{-\sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \, \sqrt{\sqrt{2} + 2} + 2} {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} + \frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} + \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)}\right) - \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} \arctan\left(\frac{1}{2} \, \sqrt{\sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \, \sqrt{\sqrt{2} + 2} + 2} \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} + \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{2} \sqrt{\sqrt{2} + 2} - \sqrt{2} - 1\right) - \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} \arctan\left(\frac{1}{8} \, \sqrt{-16 \, \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 32 \, \sqrt{x + \sqrt{x^{2} + 1}} + 32 \, \sqrt{\sqrt{2} + 2} + 32} \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} + \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{2} \sqrt{\sqrt{2} + 2} + \sqrt{2} + 1\right) + \frac{1}{16} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{128} \, \sqrt{\sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 32 \, \sqrt{x + \sqrt{x^{2} + 1}} + 8 \, \sqrt{-16 \, \sqrt{2} + 32} + 32} \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} - \frac{1}{16} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 1\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \frac{1}{4} \, \sqrt{2} \sqrt{-16 \, \sqrt{2} + 32} - \sqrt{2} + 1\right) + \frac{1}{16} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{128} \, \sqrt{-\sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 32 \, \sqrt{x + \sqrt{x^{2} + 1}} + 8 \, \sqrt{-16 \, \sqrt{2} + 32} + 32} \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} - \frac{1}{16} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 1\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \frac{1}{4} \, \sqrt{2} \sqrt{-16 \, \sqrt{2} + 32} + \sqrt{2} - 1\right) - \frac{1}{2} \cdot 2^{\frac{7}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{2} - 1} \arctan\left(\frac{1}{2} \cdot 2^{\frac{3}{8}} \sqrt{2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \cdot 2^{\frac{1}{4}} + 2} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} - \frac{1}{2} \cdot 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} - {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right) - \frac{1}{2} \cdot 2^{\frac{7}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{2} - 1} \arctan\left(\frac{1}{2} \cdot 2^{\frac{3}{8}} \sqrt{-2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \cdot 2^{\frac{1}{4}} + 2} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} - \frac{1}{2} \cdot 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right) - \frac{1}{4} \, \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} - 2 \, \sqrt{2}\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \log\left(2 \, \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 2} + 4\right) + \frac{1}{4} \, \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} - 2 \, \sqrt{2}\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \log\left(-2 \, \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 2} + 4\right) - \frac{1}{64} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2}\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{1}{4}} \log\left(\frac{1}{8} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{-16 \, \sqrt{2} + 32} + 4\right) + \frac{1}{64} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2}\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{1}{4}} \log\left(-\frac{1}{8} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{-16 \, \sqrt{2} + 32} + 4\right) - \frac{1}{8} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \log\left(\frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{\sqrt{2} + 2} + 1\right) + \frac{1}{8} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \log\left(-\frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{\sqrt{2} + 2} + 1\right) + \frac{1}{8} \cdot 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \log\left(\frac{1}{2} \cdot 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{x + \sqrt{x^{2} + 1}} + 2^{\frac{1}{4}} + 1\right) - \frac{1}{8} \cdot 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \log\left(-\frac{1}{2} \cdot 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{x + \sqrt{x^{2} + 1}} + 2^{\frac{1}{4}} + 1\right) - \frac{1}{60} \, {\left({\left(15 \, x - 15 \, \sqrt{x^{2} + 1} + 8\right)} \sqrt{x + \sqrt{x^{2} + 1}} + 54 \, x - 6 \, \sqrt{x^{2} + 1} - 16\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 2 \, \sqrt{\sqrt{\sqrt{2} + 1} - 1} \arctan\left(\frac{1}{2} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{\sqrt{2} + 1}} \sqrt{\sqrt{\sqrt{2} + 1} - 1} - \frac{1}{2} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} \sqrt{\sqrt{\sqrt{2} + 1} - 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{\sqrt{2} + 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{\sqrt{\sqrt{2} + 1} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{\sqrt{2} + 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{\sqrt{\sqrt{2} + 1} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{\sqrt{2} - 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{\sqrt{\sqrt{2} - 1} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{\sqrt{2} - 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{\sqrt{\sqrt{2} - 1} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{\sqrt{2} - 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{-\sqrt{\sqrt{2} - 1} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{\sqrt{2} - 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{-\sqrt{\sqrt{2} - 1} + 1}\right) - \frac{1}{8} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) + \frac{1}{8} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right)"," ",0,"1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4)*sqrt(sqrt(2) + 1)*(sqrt(2) - 2)*arctan(1/2*sqrt(sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*sqrt(sqrt(2) + 2) + 2)*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4) + 1/2*((3*sqrt(2) - 4)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (3*sqrt(2) - 4)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) - sqrt(sqrt(2) + 1)*(sqrt(2) - 1)) + 1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4)*sqrt(sqrt(2) + 1)*(sqrt(2) - 2)*arctan(1/2*sqrt(-sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*sqrt(sqrt(2) + 2) + 2)*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4) + 1/2*((3*sqrt(2) - 4)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (3*sqrt(2) - 4)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) + sqrt(sqrt(2) + 1)*(sqrt(2) - 1)) - sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2)*arctan(1/2*sqrt(sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*sqrt(sqrt(2) + 2) + 2)*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2) + sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(2)*sqrt(sqrt(2) + 2) - sqrt(2) - 1) - sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2)*arctan(1/8*sqrt(-16*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 32*sqrt(x + sqrt(x^2 + 1)) + 32*sqrt(sqrt(2) + 2) + 32)*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2) + sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(2)*sqrt(sqrt(2) + 2) + sqrt(2) + 1) + 1/16*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4)*arctan(1/128*sqrt(sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 32*sqrt(x + sqrt(x^2 + 1)) + 8*sqrt(-16*sqrt(2) + 32) + 32)*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4) - 1/16*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 1)*(-16*sqrt(2) + 32)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1/4*sqrt(2)*sqrt(-16*sqrt(2) + 32) - sqrt(2) + 1) + 1/16*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4)*arctan(1/128*sqrt(-sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 32*sqrt(x + sqrt(x^2 + 1)) + 8*sqrt(-16*sqrt(2) + 32) + 32)*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4) - 1/16*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 1)*(-16*sqrt(2) + 32)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1/4*sqrt(2)*sqrt(-16*sqrt(2) + 32) + sqrt(2) - 1) - 1/2*2^(7/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(2) - 1)*arctan(1/2*2^(3/8)*sqrt(2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*2^(1/4) + 2)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4) - 1/2*2^(3/8)*(2^(1/4)*(sqrt(2) + 2)*sqrt(sqrt(2) - 1) + (sqrt(2) + 2)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) - (sqrt(2) + 1)*sqrt(sqrt(2) - 1)) - 1/2*2^(7/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(2) - 1)*arctan(1/2*2^(3/8)*sqrt(-2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*2^(1/4) + 2)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4) - 1/2*2^(3/8)*(2^(1/4)*(sqrt(2) + 2)*sqrt(sqrt(2) - 1) + (sqrt(2) + 2)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1)) - 1/4*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2)*sqrt(sqrt(2) + 2) - 2*sqrt(2))*(sqrt(2) + 2)^(1/4)*log(2*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 2) + 4) + 1/4*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2)*sqrt(sqrt(2) + 2) - 2*sqrt(2))*(sqrt(2) + 2)^(1/4)*log(-2*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 2) + 4) - 1/64*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2))*(-16*sqrt(2) + 32)^(1/4)*log(1/8*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + sqrt(-16*sqrt(2) + 32) + 4) + 1/64*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2))*(-16*sqrt(2) + 32)^(1/4)*log(-1/8*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + sqrt(-16*sqrt(2) + 32) + 4) - 1/8*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*log(1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(x + sqrt(x^2 + 1)) + sqrt(sqrt(2) + 2) + 1) + 1/8*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*log(-1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(x + sqrt(x^2 + 1)) + sqrt(sqrt(2) + 2) + 1) + 1/8*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*log(1/2*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(x + sqrt(x^2 + 1)) + 2^(1/4) + 1) - 1/8*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*log(-1/2*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(x + sqrt(x^2 + 1)) + 2^(1/4) + 1) - 1/60*((15*x - 15*sqrt(x^2 + 1) + 8)*sqrt(x + sqrt(x^2 + 1)) + 54*x - 6*sqrt(x^2 + 1) - 16)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 2*sqrt(sqrt(sqrt(2) + 1) - 1)*arctan(1/2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*sqrt(sqrt(x + sqrt(x^2 + 1)) + sqrt(sqrt(2) + 1))*sqrt(sqrt(sqrt(2) + 1) - 1) - 1/2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)*sqrt(sqrt(sqrt(2) + 1) - 1)) + 1/2*sqrt(sqrt(sqrt(2) + 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(sqrt(sqrt(2) + 1) + 1)) - 1/2*sqrt(sqrt(sqrt(2) + 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(sqrt(sqrt(2) + 1) + 1)) - 1/2*sqrt(sqrt(sqrt(2) - 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(sqrt(sqrt(2) - 1) + 1)) + 1/2*sqrt(sqrt(sqrt(2) - 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(sqrt(sqrt(2) - 1) + 1)) - 1/2*sqrt(-sqrt(sqrt(2) - 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(-sqrt(sqrt(2) - 1) + 1)) + 1/2*sqrt(-sqrt(sqrt(2) - 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(-sqrt(sqrt(2) - 1) + 1)) - 1/8*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) + 1/8*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1)","B",0
3105,1,3408,0,1.610294," ","integrate((x^4+1)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^4+1),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 2\right)} \arctan\left(\frac{1}{2} \, \sqrt{\sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \, \sqrt{\sqrt{2} + 2} + 2} {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} + \frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} - \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)}\right) + \frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 2\right)} \arctan\left(\frac{1}{2} \, \sqrt{-\sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \, \sqrt{\sqrt{2} + 2} + 2} {\left({\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(2 \, \sqrt{2} - 3\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} + \frac{1}{2} \, {\left({\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} + {\left(3 \, \sqrt{2} - 4\right)} \sqrt{\sqrt{2} + 1}\right)} \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{\sqrt{2} + 2} \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)} + \sqrt{\sqrt{2} + 1} {\left(\sqrt{2} - 1\right)}\right) - \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} \arctan\left(\frac{1}{2} \, \sqrt{\sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \, \sqrt{\sqrt{2} + 2} + 2} \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} + \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{2} \sqrt{\sqrt{2} + 2} - \sqrt{2} - 1\right) - \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} \arctan\left(\frac{1}{8} \, \sqrt{-16 \, \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 32 \, \sqrt{x + \sqrt{x^{2} + 1}} + 32 \, \sqrt{\sqrt{2} + 2} + 32} \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} + \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{2} \sqrt{\sqrt{2} + 2} + \sqrt{2} + 1\right) + \frac{1}{16} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{128} \, \sqrt{\sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 32 \, \sqrt{x + \sqrt{x^{2} + 1}} + 8 \, \sqrt{-16 \, \sqrt{2} + 32} + 32} \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} - \frac{1}{16} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 1\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \frac{1}{4} \, \sqrt{2} \sqrt{-16 \, \sqrt{2} + 32} - \sqrt{2} + 1\right) + \frac{1}{16} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \arctan\left(\frac{1}{128} \, \sqrt{-\sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 32 \, \sqrt{x + \sqrt{x^{2} + 1}} + 8 \, \sqrt{-16 \, \sqrt{2} + 32} + 32} \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} - \frac{1}{16} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 1\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \frac{1}{4} \, \sqrt{2} \sqrt{-16 \, \sqrt{2} + 32} + \sqrt{2} - 1\right) - \frac{1}{2} \cdot 2^{\frac{7}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{2} - 1} \arctan\left(\frac{1}{2} \cdot 2^{\frac{3}{8}} \sqrt{2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \cdot 2^{\frac{1}{4}} + 2} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} - \frac{1}{2} \cdot 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} - {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right) - \frac{1}{2} \cdot 2^{\frac{7}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{2} - 1} \arctan\left(\frac{1}{2} \cdot 2^{\frac{3}{8}} \sqrt{-2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 2 \cdot 2^{\frac{1}{4}} + 2} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} - \frac{1}{2} \cdot 2^{\frac{3}{8}} {\left(2^{\frac{1}{4}} {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 2\right)} \sqrt{\sqrt{2} - 1}\right)} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1} + {\left(\sqrt{2} + 1\right)} \sqrt{\sqrt{2} - 1}\right) - \frac{1}{4} \, \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} - 2 \, \sqrt{2}\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \log\left(2 \, \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 2} + 4\right) + \frac{1}{4} \, \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} - 2 \, \sqrt{2}\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \log\left(-2 \, \sqrt{{\left(\sqrt{2} + 2\right)}^{\frac{3}{2}} + 2 \, \sqrt{2} + 4} {\left(\sqrt{2} + 2\right)}^{\frac{3}{4}} {\left(\sqrt{2} - 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + 4 \, \sqrt{\sqrt{2} + 2} + 4\right) - \frac{1}{64} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2}\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{1}{4}} \log\left(\frac{1}{8} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{-16 \, \sqrt{2} + 32} + 4\right) + \frac{1}{64} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2}\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{1}{4}} \log\left(-\frac{1}{8} \, \sqrt{-{\left(\sqrt{2} - 2\right)} \sqrt{-16 \, \sqrt{2} + 32} - 8 \, \sqrt{2} + 16} {\left(\sqrt{2} + 2\right)} {\left(-16 \, \sqrt{2} + 32\right)}^{\frac{3}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 4 \, \sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{-16 \, \sqrt{2} + 32} + 4\right) - \frac{1}{8} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \log\left(\frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{\sqrt{2} + 2} + 1\right) + \frac{1}{8} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \log\left(-\frac{1}{2} \, \sqrt{-2 \, \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 1\right)} + 2 \, \sqrt{2}} {\left(\sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - 2\right)} {\left(\sqrt{2} + 2\right)}^{\frac{1}{4}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{\sqrt{2} + 2} + 1\right) + \frac{1}{8} \cdot 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \log\left(\frac{1}{2} \cdot 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{x + \sqrt{x^{2} + 1}} + 2^{\frac{1}{4}} + 1\right) - \frac{1}{8} \cdot 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \log\left(-\frac{1}{2} \cdot 2^{\frac{1}{8}} \sqrt{-2 \cdot 2^{\frac{1}{4}} {\left(\sqrt{2} + 1\right)} + 2 \, \sqrt{2} + 4} {\left(2^{\frac{3}{4}} + 2\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{x + \sqrt{x^{2} + 1}} + 2^{\frac{1}{4}} + 1\right) - \frac{1}{60} \, {\left({\left(15 \, x - 15 \, \sqrt{x^{2} + 1} + 8\right)} \sqrt{x + \sqrt{x^{2} + 1}} + 54 \, x - 6 \, \sqrt{x^{2} + 1} - 16\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 2 \, \sqrt{\sqrt{\sqrt{2} + 1} - 1} \arctan\left(\frac{1}{2} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + \sqrt{\sqrt{2} + 1}} \sqrt{\sqrt{\sqrt{2} + 1} - 1} - \frac{1}{2} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 1} + \sqrt{2}\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} \sqrt{\sqrt{\sqrt{2} + 1} - 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{\sqrt{2} + 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{\sqrt{\sqrt{2} + 1} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{\sqrt{2} + 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{\sqrt{\sqrt{2} + 1} + 1}\right) - \frac{1}{2} \, \sqrt{\sqrt{\sqrt{2} - 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{\sqrt{\sqrt{2} - 1} + 1}\right) + \frac{1}{2} \, \sqrt{\sqrt{\sqrt{2} - 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{\sqrt{\sqrt{2} - 1} + 1}\right) - \frac{1}{2} \, \sqrt{-\sqrt{\sqrt{2} - 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + \sqrt{-\sqrt{\sqrt{2} - 1} + 1}\right) + \frac{1}{2} \, \sqrt{-\sqrt{\sqrt{2} - 1} + 1} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - \sqrt{-\sqrt{\sqrt{2} - 1} + 1}\right) - \frac{1}{8} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) + \frac{1}{8} \, \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right)"," ",0,"1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4)*sqrt(sqrt(2) + 1)*(sqrt(2) - 2)*arctan(1/2*sqrt(sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*sqrt(sqrt(2) + 2) + 2)*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4) + 1/2*((3*sqrt(2) - 4)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (3*sqrt(2) - 4)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) - sqrt(sqrt(2) + 1)*(sqrt(2) - 1)) + 1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4)*sqrt(sqrt(2) + 1)*(sqrt(2) - 2)*arctan(1/2*sqrt(-sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*sqrt(sqrt(2) + 2) + 2)*((2*sqrt(2) - 3)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (2*sqrt(2) - 3)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4) + 1/2*((3*sqrt(2) - 4)*sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1) + (3*sqrt(2) - 4)*sqrt(sqrt(2) + 1))*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(2) + 2)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(sqrt(2) + 2)*sqrt(sqrt(2) + 1)*(sqrt(2) - 1) + sqrt(sqrt(2) + 1)*(sqrt(2) - 1)) - sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2)*arctan(1/2*sqrt(sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*sqrt(sqrt(2) + 2) + 2)*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2) + sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(2)*sqrt(sqrt(2) + 2) - sqrt(2) - 1) - sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2)*arctan(1/8*sqrt(-16*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 32*sqrt(x + sqrt(x^2 + 1)) + 32*sqrt(sqrt(2) + 2) + 32)*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2) + sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(2)*sqrt(sqrt(2) + 2) + sqrt(2) + 1) + 1/16*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4)*arctan(1/128*sqrt(sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 32*sqrt(x + sqrt(x^2 + 1)) + 8*sqrt(-16*sqrt(2) + 32) + 32)*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4) - 1/16*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 1)*(-16*sqrt(2) + 32)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1/4*sqrt(2)*sqrt(-16*sqrt(2) + 32) - sqrt(2) + 1) + 1/16*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4)*arctan(1/128*sqrt(-sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 32*sqrt(x + sqrt(x^2 + 1)) + 8*sqrt(-16*sqrt(2) + 32) + 32)*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4) - 1/16*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 1)*(-16*sqrt(2) + 32)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1/4*sqrt(2)*sqrt(-16*sqrt(2) + 32) + sqrt(2) - 1) - 1/2*2^(7/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(2) - 1)*arctan(1/2*2^(3/8)*sqrt(2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*2^(1/4) + 2)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4) - 1/2*2^(3/8)*(2^(1/4)*(sqrt(2) + 2)*sqrt(sqrt(2) - 1) + (sqrt(2) + 2)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) - (sqrt(2) + 1)*sqrt(sqrt(2) - 1)) - 1/2*2^(7/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(2) - 1)*arctan(1/2*2^(3/8)*sqrt(-2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 2*2^(1/4) + 2)*(2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4) - 1/2*2^(3/8)*(2^(1/4)*(sqrt(2) + 2)*sqrt(sqrt(2) - 1) + (sqrt(2) + 2)*sqrt(sqrt(2) - 1))*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 2^(1/4)*(sqrt(2) + 1)*sqrt(sqrt(2) - 1) + (sqrt(2) + 1)*sqrt(sqrt(2) - 1)) - 1/4*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2)*sqrt(sqrt(2) + 2) - 2*sqrt(2))*(sqrt(2) + 2)^(1/4)*log(2*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 2) + 4) + 1/4*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2)*sqrt(sqrt(2) + 2) - 2*sqrt(2))*(sqrt(2) + 2)^(1/4)*log(-2*sqrt((sqrt(2) + 2)^(3/2) + 2*sqrt(2) + 4)*(sqrt(2) + 2)^(3/4)*(sqrt(2) - 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + 4*sqrt(sqrt(2) + 2) + 4) - 1/64*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2))*(-16*sqrt(2) + 32)^(1/4)*log(1/8*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + sqrt(-16*sqrt(2) + 32) + 4) + 1/64*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2))*(-16*sqrt(2) + 32)^(1/4)*log(-1/8*sqrt(-(sqrt(2) - 2)*sqrt(-16*sqrt(2) + 32) - 8*sqrt(2) + 16)*(sqrt(2) + 2)*(-16*sqrt(2) + 32)^(3/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 4*sqrt(x + sqrt(x^2 + 1)) + sqrt(-16*sqrt(2) + 32) + 4) - 1/8*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*log(1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(x + sqrt(x^2 + 1)) + sqrt(sqrt(2) + 2) + 1) + 1/8*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*log(-1/2*sqrt(-2*sqrt(sqrt(2) + 2)*(sqrt(2) - 1) + 2*sqrt(2))*(sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - 2)*(sqrt(2) + 2)^(1/4)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(x + sqrt(x^2 + 1)) + sqrt(sqrt(2) + 2) + 1) + 1/8*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*log(1/2*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(x + sqrt(x^2 + 1)) + 2^(1/4) + 1) - 1/8*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*log(-1/2*2^(1/8)*sqrt(-2*2^(1/4)*(sqrt(2) + 1) + 2*sqrt(2) + 4)*(2^(3/4) + 2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(x + sqrt(x^2 + 1)) + 2^(1/4) + 1) - 1/60*((15*x - 15*sqrt(x^2 + 1) + 8)*sqrt(x + sqrt(x^2 + 1)) + 54*x - 6*sqrt(x^2 + 1) - 16)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 2*sqrt(sqrt(sqrt(2) + 1) - 1)*arctan(1/2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*sqrt(sqrt(x + sqrt(x^2 + 1)) + sqrt(sqrt(2) + 1))*sqrt(sqrt(sqrt(2) + 1) - 1) - 1/2*(sqrt(2)*sqrt(sqrt(2) + 1) + sqrt(2))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)*sqrt(sqrt(sqrt(2) + 1) - 1)) + 1/2*sqrt(sqrt(sqrt(2) + 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(sqrt(sqrt(2) + 1) + 1)) - 1/2*sqrt(sqrt(sqrt(2) + 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(sqrt(sqrt(2) + 1) + 1)) - 1/2*sqrt(sqrt(sqrt(2) - 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(sqrt(sqrt(2) - 1) + 1)) + 1/2*sqrt(sqrt(sqrt(2) - 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(sqrt(sqrt(2) - 1) + 1)) - 1/2*sqrt(-sqrt(sqrt(2) - 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + sqrt(-sqrt(sqrt(2) - 1) + 1)) + 1/2*sqrt(-sqrt(sqrt(2) - 1) + 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - sqrt(-sqrt(sqrt(2) - 1) + 1)) - 1/8*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) + 1/8*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1)","B",0
3106,1,6743,0,2.573465," ","integrate((x^2+1)^(5/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2,x, algorithm=""fricas"")","-\frac{20160 \, \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142} \log\left(\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left(547633 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{3} + {\left(1095266 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 547633 \, \sqrt{2} + 820211864\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} + 311055544 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} - {\left(547633 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + 622111088 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 311055544 \, \sqrt{2} + 210463757752\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} + 51091968368 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 25545984184 \, \sqrt{2} - 23818438149128\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142} + 78292579460375 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 20160 \, \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142} \log\left(-\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left(547633 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{3} + {\left(1095266 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 547633 \, \sqrt{2} + 820211864\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} + 311055544 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} - {\left(547633 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + 622111088 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 311055544 \, \sqrt{2} + 210463757752\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} + 51091968368 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 25545984184 \, \sqrt{2} - 23818438149128\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142} + 78292579460375 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 20160 \, \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144} \log\left(\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left({\left(438047238 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 219023619 \, \sqrt{2} + 310702217138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + 219023619 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{3} - {\left(219023619 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} + 252315209088 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 126157604544 \, \sqrt{2} + 80733215480968\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} + 126157604544 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} + 86375906577792 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 43187953288896 \, \sqrt{2} + 15300143559468424\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144} + 29282884968104501 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 20160 \, \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144} \log\left(-\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left({\left(438047238 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 219023619 \, \sqrt{2} + 310702217138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + 219023619 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{3} - {\left(219023619 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} + 252315209088 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 126157604544 \, \sqrt{2} + 80733215480968\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} + 126157604544 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} + 86375906577792 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 43187953288896 \, \sqrt{2} + 15300143559468424\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144} + 29282884968104501 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 20160 \, {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{71}{2} \, \sqrt{2} + 9292} + \frac{1}{2} \, \sqrt{2} + 71} \log\left(\frac{1}{8} \, {\left({\left(1095266 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 547633 \, \sqrt{2} + 820211864\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} + 897975750 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} - {\left(547633 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + 622111088 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 311055544 \, \sqrt{2} + 210463757752\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} + 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{71}{2} \, \sqrt{2} + 9292} {\left({\left(547633 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)} + 897975750 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - 897975750 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)} - 255416581000 \, \sqrt{2}\right)} + 509267290000 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 254633645000 \, \sqrt{2} - 57075233236000\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{71}{2} \, \sqrt{2} + 9292} + \frac{1}{2} \, \sqrt{2} + 71} + 78292579460375 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 20160 \, {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{71}{2} \, \sqrt{2} + 9292} + \frac{1}{2} \, \sqrt{2} + 71} \log\left(-\frac{1}{8} \, {\left({\left(1095266 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 547633 \, \sqrt{2} + 820211864\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} + 897975750 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} - {\left(547633 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + 622111088 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 311055544 \, \sqrt{2} + 210463757752\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} + 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{71}{2} \, \sqrt{2} + 9292} {\left({\left(547633 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)} + 897975750 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - 897975750 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)} - 255416581000 \, \sqrt{2}\right)} + 509267290000 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 254633645000 \, \sqrt{2} - 57075233236000\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{71}{2} \, \sqrt{2} + 9292} + \frac{1}{2} \, \sqrt{2} + 71} + 78292579460375 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 20160 \, {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{71}{2} \, \sqrt{2} + 9292} + \frac{1}{2} \, \sqrt{2} + 71} \log\left(\frac{1}{8} \, {\left({\left(1095266 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 547633 \, \sqrt{2} + 820211864\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} + 897975750 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} - {\left(547633 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + 622111088 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 311055544 \, \sqrt{2} + 210463757752\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{71}{2} \, \sqrt{2} + 9292} {\left({\left(547633 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)} + 897975750 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - 897975750 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)} - 255416581000 \, \sqrt{2}\right)} + 509267290000 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 254633645000 \, \sqrt{2} - 57075233236000\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{71}{2} \, \sqrt{2} + 9292} + \frac{1}{2} \, \sqrt{2} + 71} + 78292579460375 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 20160 \, {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{71}{2} \, \sqrt{2} + 9292} + \frac{1}{2} \, \sqrt{2} + 71} \log\left(-\frac{1}{8} \, {\left({\left(1095266 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 547633 \, \sqrt{2} + 820211864\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} + 897975750 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} - {\left(547633 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + 622111088 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 311055544 \, \sqrt{2} + 210463757752\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{71}{2} \, \sqrt{2} + 9292} {\left({\left(547633 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)} + 897975750 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - 897975750 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)} - 255416581000 \, \sqrt{2}\right)} + 509267290000 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 254633645000 \, \sqrt{2} - 57075233236000\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{71}{2} \, \sqrt{2} + 9292} + \frac{1}{2} \, \sqrt{2} + 71} + 78292579460375 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 80640 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{16} \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{1}{32} \, \sqrt{2} + \frac{71}{16}} \log\left({\left(547633 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{3} - 586920206 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} - 458175321632 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - 229087660816 \, \sqrt{2} + 47301322903272\right)} \sqrt{-\frac{1}{16} \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{1}{32} \, \sqrt{2} + \frac{71}{16}} + 78292579460375 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 80640 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{16} \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{1}{32} \, \sqrt{2} + \frac{71}{16}} \log\left(-{\left(547633 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{3} - 586920206 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} - 458175321632 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - 229087660816 \, \sqrt{2} + 47301322903272\right)} \sqrt{-\frac{1}{16} \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{1}{32} \, \sqrt{2} + \frac{71}{16}} + 78292579460375 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 80640 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{16} \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{1}{32} \, \sqrt{2} + \frac{9}{2}} \log\left({\left(219023619 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{3} - 216084013730 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 111423914492816 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + 55711957246408 \, \sqrt{2} - 6239425231280344\right)} \sqrt{-\frac{1}{16} \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{1}{32} \, \sqrt{2} + \frac{9}{2}} + 29282884968104501 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 80640 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{16} \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{1}{32} \, \sqrt{2} + \frac{9}{2}} \log\left(-{\left(219023619 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{3} - 216084013730 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 111423914492816 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + 55711957246408 \, \sqrt{2} - 6239425231280344\right)} \sqrt{-\frac{1}{16} \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{1}{32} \, \sqrt{2} + \frac{9}{2}} + 29282884968104501 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 40320 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{9}{2} \, \sqrt{2} - 1137} + 18} \log\left(\frac{1}{4} \, {\left({\left(438047238 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 219023619 \, \sqrt{2} + 310702217138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} - {\left(219023619 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} + 252315209088 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 126157604544 \, \sqrt{2} + 80733215480968\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} + 342241618274 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} + 16 \, {\left({\left(438047238 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 219023619 \, \sqrt{2} + 310702217138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} - 684483236548 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + 342241618274 \, \sqrt{2} - 48948468559064\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{9}{2} \, \sqrt{2} - 1137} + 197799821070608 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 98899910535304 \, \sqrt{2} + 21107931056118640\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{9}{2} \, \sqrt{2} - 1137} + 18} + 29282884968104501 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 40320 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{9}{2} \, \sqrt{2} - 1137} + 18} \log\left(-\frac{1}{4} \, {\left({\left(438047238 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 219023619 \, \sqrt{2} + 310702217138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} - {\left(219023619 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} + 252315209088 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 126157604544 \, \sqrt{2} + 80733215480968\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} + 342241618274 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} + 16 \, {\left({\left(438047238 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 219023619 \, \sqrt{2} + 310702217138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} - 684483236548 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + 342241618274 \, \sqrt{2} - 48948468559064\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{9}{2} \, \sqrt{2} - 1137} + 197799821070608 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 98899910535304 \, \sqrt{2} + 21107931056118640\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{9}{2} \, \sqrt{2} - 1137} + 18} + 29282884968104501 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 40320 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{9}{2} \, \sqrt{2} - 1137} + 18} \log\left(\frac{1}{4} \, {\left({\left(438047238 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 219023619 \, \sqrt{2} + 310702217138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} - {\left(219023619 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} + 252315209088 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 126157604544 \, \sqrt{2} + 80733215480968\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} + 342241618274 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 16 \, {\left({\left(438047238 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 219023619 \, \sqrt{2} + 310702217138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} - 684483236548 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + 342241618274 \, \sqrt{2} - 48948468559064\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{9}{2} \, \sqrt{2} - 1137} + 197799821070608 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 98899910535304 \, \sqrt{2} + 21107931056118640\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{9}{2} \, \sqrt{2} - 1137} + 18} + 29282884968104501 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 40320 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{9}{2} \, \sqrt{2} - 1137} + 18} \log\left(-\frac{1}{4} \, {\left({\left(438047238 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 219023619 \, \sqrt{2} + 310702217138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} - {\left(219023619 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} + 252315209088 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 126157604544 \, \sqrt{2} + 80733215480968\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} + 342241618274 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 16 \, {\left({\left(438047238 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 219023619 \, \sqrt{2} + 310702217138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} - 684483236548 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + 342241618274 \, \sqrt{2} - 48948468559064\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{9}{2} \, \sqrt{2} - 1137} + 197799821070608 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 98899910535304 \, \sqrt{2} + 21107931056118640\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{9}{2} \, \sqrt{2} - 1137} + 18} + 29282884968104501 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 724185 \, {\left(x^{2} - 1\right)} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) - 724185 \, {\left(x^{2} - 1\right)} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right) + 2 \, {\left(1120 \, x^{4} + 1818 \, x^{3} - 804912 \, x^{2} - 2 \, {\left(9520 \, x^{3} + 141 \, x^{2} - 49840 \, x - 141\right)} \sqrt{x^{2} + 1} + {\left(1680 \, x^{4} - 2215 \, x^{3} - 1864 \, x^{2} - 5 \, {\left(336 \, x^{3} - 187 \, x^{2} - 336 \, x + 187\right)} \sqrt{x^{2} + 1} + 2215 \, x + 184\right)} \sqrt{x + \sqrt{x^{2} + 1}} - 1818 \, x + 803792\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{80640 \, {\left(x^{2} - 1\right)}}"," ",0,"-1/80640*(20160*sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)*log(1/4*sqrt(1/2)*(547633*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^3 + (1095266*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 547633*sqrt(2) + 820211864)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 + 311055544*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 - (547633*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 622111088*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 311055544*sqrt(2) + 210463757752)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) + 51091968368*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 25545984184*sqrt(2) - 23818438149128)*sqrt(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) + 78292579460375*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 20160*sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)*log(-1/4*sqrt(1/2)*(547633*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^3 + (1095266*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 547633*sqrt(2) + 820211864)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 + 311055544*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 - (547633*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 622111088*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 311055544*sqrt(2) + 210463757752)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) + 51091968368*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 25545984184*sqrt(2) - 23818438149128)*sqrt(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) + 78292579460375*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 20160*sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*log(1/4*sqrt(1/2)*((438047238*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 219023619*sqrt(2) + 310702217138)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 219023619*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^3 - (219023619*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 + 252315209088*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 126157604544*sqrt(2) + 80733215480968)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144) + 126157604544*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 + 86375906577792*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 43187953288896*sqrt(2) + 15300143559468424)*sqrt(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144) + 29282884968104501*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 20160*sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*log(-1/4*sqrt(1/2)*((438047238*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 219023619*sqrt(2) + 310702217138)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 219023619*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^3 - (219023619*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 + 252315209088*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 126157604544*sqrt(2) + 80733215480968)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144) + 126157604544*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 + 86375906577792*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 43187953288896*sqrt(2) + 15300143559468424)*sqrt(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144) + 29282884968104501*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 20160*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 71/2*sqrt(2) + 9292) + 1/2*sqrt(2) + 71)*log(1/8*((1095266*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 547633*sqrt(2) + 820211864)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 + 897975750*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 - (547633*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 622111088*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 311055544*sqrt(2) + 210463757752)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) + 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 71/2*sqrt(2) + 9292)*((547633*sqrt(2)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142) + 897975750*sqrt(2))*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 897975750*sqrt(2)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142) - 255416581000*sqrt(2)) + 509267290000*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 254633645000*sqrt(2) - 57075233236000)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 71/2*sqrt(2) + 9292) + 1/2*sqrt(2) + 71) + 78292579460375*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 20160*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 71/2*sqrt(2) + 9292) + 1/2*sqrt(2) + 71)*log(-1/8*((1095266*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 547633*sqrt(2) + 820211864)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 + 897975750*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 - (547633*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 622111088*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 311055544*sqrt(2) + 210463757752)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) + 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 71/2*sqrt(2) + 9292)*((547633*sqrt(2)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142) + 897975750*sqrt(2))*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 897975750*sqrt(2)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142) - 255416581000*sqrt(2)) + 509267290000*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 254633645000*sqrt(2) - 57075233236000)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 71/2*sqrt(2) + 9292) + 1/2*sqrt(2) + 71) + 78292579460375*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 20160*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 71/2*sqrt(2) + 9292) + 1/2*sqrt(2) + 71)*log(1/8*((1095266*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 547633*sqrt(2) + 820211864)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 + 897975750*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 - (547633*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 622111088*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 311055544*sqrt(2) + 210463757752)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 71/2*sqrt(2) + 9292)*((547633*sqrt(2)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142) + 897975750*sqrt(2))*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 897975750*sqrt(2)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142) - 255416581000*sqrt(2)) + 509267290000*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 254633645000*sqrt(2) - 57075233236000)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 71/2*sqrt(2) + 9292) + 1/2*sqrt(2) + 71) + 78292579460375*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 20160*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 71/2*sqrt(2) + 9292) + 1/2*sqrt(2) + 71)*log(-1/8*((1095266*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 547633*sqrt(2) + 820211864)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 + 897975750*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 - (547633*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 622111088*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 311055544*sqrt(2) + 210463757752)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 71/2*sqrt(2) + 9292)*((547633*sqrt(2)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142) + 897975750*sqrt(2))*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 897975750*sqrt(2)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142) - 255416581000*sqrt(2)) + 509267290000*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 254633645000*sqrt(2) - 57075233236000)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 71/2*sqrt(2) + 9292) + 1/2*sqrt(2) + 71) + 78292579460375*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 80640*(x^2 - 1)*sqrt(-1/16*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 1/32*sqrt(2) + 71/16)*log((547633*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^3 - 586920206*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 - 458175321632*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 229087660816*sqrt(2) + 47301322903272)*sqrt(-1/16*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 1/32*sqrt(2) + 71/16) + 78292579460375*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 80640*(x^2 - 1)*sqrt(-1/16*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 1/32*sqrt(2) + 71/16)*log(-(547633*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^3 - 586920206*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 - 458175321632*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 229087660816*sqrt(2) + 47301322903272)*sqrt(-1/16*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 1/32*sqrt(2) + 71/16) + 78292579460375*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 80640*(x^2 - 1)*sqrt(-1/16*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 1/32*sqrt(2) + 9/2)*log((219023619*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^3 - 216084013730*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 111423914492816*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 55711957246408*sqrt(2) - 6239425231280344)*sqrt(-1/16*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 1/32*sqrt(2) + 9/2) + 29282884968104501*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 80640*(x^2 - 1)*sqrt(-1/16*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 1/32*sqrt(2) + 9/2)*log(-(219023619*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^3 - 216084013730*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 111423914492816*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 55711957246408*sqrt(2) - 6239425231280344)*sqrt(-1/16*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 1/32*sqrt(2) + 9/2) + 29282884968104501*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 40320*(x^2 - 1)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 9/2*sqrt(2) - 1137) + 18)*log(1/4*((438047238*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 219023619*sqrt(2) + 310702217138)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 - (219023619*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 + 252315209088*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 126157604544*sqrt(2) + 80733215480968)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144) + 342241618274*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 + 16*((438047238*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 219023619*sqrt(2) + 310702217138)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144) - 684483236548*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 342241618274*sqrt(2) - 48948468559064)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 9/2*sqrt(2) - 1137) + 197799821070608*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 98899910535304*sqrt(2) + 21107931056118640)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 9/2*sqrt(2) - 1137) + 18) + 29282884968104501*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 40320*(x^2 - 1)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 9/2*sqrt(2) - 1137) + 18)*log(-1/4*((438047238*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 219023619*sqrt(2) + 310702217138)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 - (219023619*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 + 252315209088*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 126157604544*sqrt(2) + 80733215480968)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144) + 342241618274*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 + 16*((438047238*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 219023619*sqrt(2) + 310702217138)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144) - 684483236548*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 342241618274*sqrt(2) - 48948468559064)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 9/2*sqrt(2) - 1137) + 197799821070608*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 98899910535304*sqrt(2) + 21107931056118640)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 9/2*sqrt(2) - 1137) + 18) + 29282884968104501*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 40320*(x^2 - 1)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 9/2*sqrt(2) - 1137) + 18)*log(1/4*((438047238*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 219023619*sqrt(2) + 310702217138)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 - (219023619*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 + 252315209088*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 126157604544*sqrt(2) + 80733215480968)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144) + 342241618274*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 16*((438047238*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 219023619*sqrt(2) + 310702217138)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144) - 684483236548*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 342241618274*sqrt(2) - 48948468559064)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 9/2*sqrt(2) - 1137) + 197799821070608*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 98899910535304*sqrt(2) + 21107931056118640)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 9/2*sqrt(2) - 1137) + 18) + 29282884968104501*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 40320*(x^2 - 1)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 9/2*sqrt(2) - 1137) + 18)*log(-1/4*((438047238*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 219023619*sqrt(2) + 310702217138)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 - (219023619*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 + 252315209088*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 126157604544*sqrt(2) + 80733215480968)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144) + 342241618274*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 16*((438047238*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 219023619*sqrt(2) + 310702217138)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144) - 684483236548*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 342241618274*sqrt(2) - 48948468559064)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 9/2*sqrt(2) - 1137) + 197799821070608*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 98899910535304*sqrt(2) + 21107931056118640)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 9/2*sqrt(2) - 1137) + 18) + 29282884968104501*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 724185*(x^2 - 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) - 724185*(x^2 - 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1) + 2*(1120*x^4 + 1818*x^3 - 804912*x^2 - 2*(9520*x^3 + 141*x^2 - 49840*x - 141)*sqrt(x^2 + 1) + (1680*x^4 - 2215*x^3 - 1864*x^2 - 5*(336*x^3 - 187*x^2 - 336*x + 187)*sqrt(x^2 + 1) + 2215*x + 184)*sqrt(x + sqrt(x^2 + 1)) - 1818*x + 803792)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 - 1)","B",0
3107,1,6743,0,1.801191," ","integrate((x^2+1)^(5/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2,x, algorithm=""fricas"")","-\frac{20160 \, \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142} \log\left(\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left(547633 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{3} + {\left(1095266 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 547633 \, \sqrt{2} + 820211864\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} + 311055544 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} - {\left(547633 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + 622111088 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 311055544 \, \sqrt{2} + 210463757752\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} + 51091968368 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 25545984184 \, \sqrt{2} - 23818438149128\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142} + 78292579460375 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 20160 \, \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142} \log\left(-\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left(547633 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{3} + {\left(1095266 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 547633 \, \sqrt{2} + 820211864\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} + 311055544 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} - {\left(547633 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + 622111088 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 311055544 \, \sqrt{2} + 210463757752\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} + 51091968368 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 25545984184 \, \sqrt{2} - 23818438149128\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142} + 78292579460375 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 20160 \, \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144} \log\left(\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left({\left(438047238 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 219023619 \, \sqrt{2} + 310702217138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + 219023619 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{3} - {\left(219023619 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} + 252315209088 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 126157604544 \, \sqrt{2} + 80733215480968\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} + 126157604544 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} + 86375906577792 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 43187953288896 \, \sqrt{2} + 15300143559468424\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144} + 29282884968104501 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 20160 \, \sqrt{\frac{1}{2}} {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144} \log\left(-\frac{1}{4} \, \sqrt{\frac{1}{2}} {\left({\left(438047238 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 219023619 \, \sqrt{2} + 310702217138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + 219023619 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{3} - {\left(219023619 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} + 252315209088 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 126157604544 \, \sqrt{2} + 80733215480968\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} + 126157604544 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} + 86375906577792 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 43187953288896 \, \sqrt{2} + 15300143559468424\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144} + 29282884968104501 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 20160 \, {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{71}{2} \, \sqrt{2} + 9292} + \frac{1}{2} \, \sqrt{2} + 71} \log\left(\frac{1}{8} \, {\left({\left(1095266 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 547633 \, \sqrt{2} + 820211864\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} + 897975750 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} - {\left(547633 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + 622111088 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 311055544 \, \sqrt{2} + 210463757752\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} + 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{71}{2} \, \sqrt{2} + 9292} {\left({\left(547633 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)} + 897975750 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - 897975750 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)} - 255416581000 \, \sqrt{2}\right)} + 509267290000 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 254633645000 \, \sqrt{2} - 57075233236000\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{71}{2} \, \sqrt{2} + 9292} + \frac{1}{2} \, \sqrt{2} + 71} + 78292579460375 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 20160 \, {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{71}{2} \, \sqrt{2} + 9292} + \frac{1}{2} \, \sqrt{2} + 71} \log\left(-\frac{1}{8} \, {\left({\left(1095266 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 547633 \, \sqrt{2} + 820211864\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} + 897975750 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} - {\left(547633 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + 622111088 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 311055544 \, \sqrt{2} + 210463757752\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} + 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{71}{2} \, \sqrt{2} + 9292} {\left({\left(547633 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)} + 897975750 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - 897975750 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)} - 255416581000 \, \sqrt{2}\right)} + 509267290000 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 254633645000 \, \sqrt{2} - 57075233236000\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{71}{2} \, \sqrt{2} + 9292} + \frac{1}{2} \, \sqrt{2} + 71} + 78292579460375 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 20160 \, {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{71}{2} \, \sqrt{2} + 9292} + \frac{1}{2} \, \sqrt{2} + 71} \log\left(\frac{1}{8} \, {\left({\left(1095266 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 547633 \, \sqrt{2} + 820211864\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} + 897975750 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} - {\left(547633 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + 622111088 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 311055544 \, \sqrt{2} + 210463757752\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{71}{2} \, \sqrt{2} + 9292} {\left({\left(547633 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)} + 897975750 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - 897975750 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)} - 255416581000 \, \sqrt{2}\right)} + 509267290000 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 254633645000 \, \sqrt{2} - 57075233236000\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{71}{2} \, \sqrt{2} + 9292} + \frac{1}{2} \, \sqrt{2} + 71} + 78292579460375 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 20160 \, {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{71}{2} \, \sqrt{2} + 9292} + \frac{1}{2} \, \sqrt{2} + 71} \log\left(-\frac{1}{8} \, {\left({\left(1095266 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 547633 \, \sqrt{2} + 820211864\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} + 897975750 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} - {\left(547633 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + 622111088 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 311055544 \, \sqrt{2} + 210463757752\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - 4 \, \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{71}{2} \, \sqrt{2} + 9292} {\left({\left(547633 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)} + 897975750 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - 897975750 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)} - 255416581000 \, \sqrt{2}\right)} + 509267290000 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + 254633645000 \, \sqrt{2} - 57075233236000\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} + 426\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \sqrt{2} + 142\right)}^{2} - 71 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{71}{2} \, \sqrt{2} + 9292} + \frac{1}{2} \, \sqrt{2} + 71} + 78292579460375 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 80640 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{16} \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{1}{32} \, \sqrt{2} + \frac{71}{16}} \log\left({\left(547633 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{3} - 586920206 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} - 458175321632 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - 229087660816 \, \sqrt{2} + 47301322903272\right)} \sqrt{-\frac{1}{16} \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{1}{32} \, \sqrt{2} + \frac{71}{16}} + 78292579460375 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 80640 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{16} \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{1}{32} \, \sqrt{2} + \frac{71}{16}} \log\left(-{\left(547633 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{3} - 586920206 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} + \sqrt{2} - 142\right)}^{2} - 458175321632 \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - 229087660816 \, \sqrt{2} + 47301322903272\right)} \sqrt{-\frac{1}{16} \, \sqrt{\frac{1}{2}} \sqrt{14933 \, \sqrt{2} + 18583} - \frac{1}{32} \, \sqrt{2} + \frac{71}{16}} + 78292579460375 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 80640 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{16} \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{1}{32} \, \sqrt{2} + \frac{9}{2}} \log\left({\left(219023619 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{3} - 216084013730 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 111423914492816 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + 55711957246408 \, \sqrt{2} - 6239425231280344\right)} \sqrt{-\frac{1}{16} \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{1}{32} \, \sqrt{2} + \frac{9}{2}} + 29282884968104501 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 80640 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{16} \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{1}{32} \, \sqrt{2} + \frac{9}{2}} \log\left(-{\left(219023619 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{3} - 216084013730 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 111423914492816 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + 55711957246408 \, \sqrt{2} - 6239425231280344\right)} \sqrt{-\frac{1}{16} \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{1}{32} \, \sqrt{2} + \frac{9}{2}} + 29282884968104501 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 40320 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{9}{2} \, \sqrt{2} - 1137} + 18} \log\left(\frac{1}{4} \, {\left({\left(438047238 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 219023619 \, \sqrt{2} + 310702217138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} - {\left(219023619 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} + 252315209088 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 126157604544 \, \sqrt{2} + 80733215480968\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} + 342241618274 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} + 16 \, {\left({\left(438047238 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 219023619 \, \sqrt{2} + 310702217138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} - 684483236548 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + 342241618274 \, \sqrt{2} - 48948468559064\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{9}{2} \, \sqrt{2} - 1137} + 197799821070608 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 98899910535304 \, \sqrt{2} + 21107931056118640\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{9}{2} \, \sqrt{2} - 1137} + 18} + 29282884968104501 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 40320 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{9}{2} \, \sqrt{2} - 1137} + 18} \log\left(-\frac{1}{4} \, {\left({\left(438047238 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 219023619 \, \sqrt{2} + 310702217138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} - {\left(219023619 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} + 252315209088 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 126157604544 \, \sqrt{2} + 80733215480968\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} + 342241618274 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} + 16 \, {\left({\left(438047238 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 219023619 \, \sqrt{2} + 310702217138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} - 684483236548 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + 342241618274 \, \sqrt{2} - 48948468559064\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{9}{2} \, \sqrt{2} - 1137} + 197799821070608 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 98899910535304 \, \sqrt{2} + 21107931056118640\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} + \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{9}{2} \, \sqrt{2} - 1137} + 18} + 29282884968104501 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 40320 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{9}{2} \, \sqrt{2} - 1137} + 18} \log\left(\frac{1}{4} \, {\left({\left(438047238 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 219023619 \, \sqrt{2} + 310702217138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} - {\left(219023619 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} + 252315209088 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 126157604544 \, \sqrt{2} + 80733215480968\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} + 342241618274 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 16 \, {\left({\left(438047238 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 219023619 \, \sqrt{2} + 310702217138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} - 684483236548 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + 342241618274 \, \sqrt{2} - 48948468559064\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{9}{2} \, \sqrt{2} - 1137} + 197799821070608 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 98899910535304 \, \sqrt{2} + 21107931056118640\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{9}{2} \, \sqrt{2} - 1137} + 18} + 29282884968104501 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 40320 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{9}{2} \, \sqrt{2} - 1137} + 18} \log\left(-\frac{1}{4} \, {\left({\left(438047238 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 219023619 \, \sqrt{2} + 310702217138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} - {\left(219023619 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} + 252315209088 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 126157604544 \, \sqrt{2} + 80733215480968\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} + 342241618274 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 16 \, {\left({\left(438047238 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 219023619 \, \sqrt{2} + 310702217138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} - 684483236548 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + 342241618274 \, \sqrt{2} - 48948468559064\right)} \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{9}{2} \, \sqrt{2} - 1137} + 197799821070608 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - 98899910535304 \, \sqrt{2} + 21107931056118640\right)} \sqrt{-\frac{1}{8} \, \sqrt{2} - \sqrt{-\frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)}^{2} + \frac{1}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \sqrt{2} + 144\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} + 432\right)} - \frac{3}{256} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} - \sqrt{2} - 144\right)}^{2} - 9 \, \sqrt{\frac{1}{2}} \sqrt{14593 \, \sqrt{2} - 18193} + \frac{9}{2} \, \sqrt{2} - 1137} + 18} + 29282884968104501 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 724185 \, {\left(x^{2} - 1\right)} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) - 724185 \, {\left(x^{2} - 1\right)} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right) + 2 \, {\left(1120 \, x^{4} + 1818 \, x^{3} - 804912 \, x^{2} - 2 \, {\left(9520 \, x^{3} + 141 \, x^{2} - 49840 \, x - 141\right)} \sqrt{x^{2} + 1} + {\left(1680 \, x^{4} - 2215 \, x^{3} - 1864 \, x^{2} - 5 \, {\left(336 \, x^{3} - 187 \, x^{2} - 336 \, x + 187\right)} \sqrt{x^{2} + 1} + 2215 \, x + 184\right)} \sqrt{x + \sqrt{x^{2} + 1}} - 1818 \, x + 803792\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{80640 \, {\left(x^{2} - 1\right)}}"," ",0,"-1/80640*(20160*sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)*log(1/4*sqrt(1/2)*(547633*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^3 + (1095266*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 547633*sqrt(2) + 820211864)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 + 311055544*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 - (547633*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 622111088*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 311055544*sqrt(2) + 210463757752)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) + 51091968368*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 25545984184*sqrt(2) - 23818438149128)*sqrt(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) + 78292579460375*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 20160*sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)*log(-1/4*sqrt(1/2)*(547633*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^3 + (1095266*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 547633*sqrt(2) + 820211864)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 + 311055544*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 - (547633*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 622111088*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 311055544*sqrt(2) + 210463757752)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) + 51091968368*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 25545984184*sqrt(2) - 23818438149128)*sqrt(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) + 78292579460375*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 20160*sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*log(1/4*sqrt(1/2)*((438047238*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 219023619*sqrt(2) + 310702217138)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 219023619*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^3 - (219023619*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 + 252315209088*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 126157604544*sqrt(2) + 80733215480968)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144) + 126157604544*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 + 86375906577792*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 43187953288896*sqrt(2) + 15300143559468424)*sqrt(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144) + 29282884968104501*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 20160*sqrt(1/2)*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*log(-1/4*sqrt(1/2)*((438047238*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 219023619*sqrt(2) + 310702217138)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 219023619*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^3 - (219023619*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 + 252315209088*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 126157604544*sqrt(2) + 80733215480968)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144) + 126157604544*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 + 86375906577792*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 43187953288896*sqrt(2) + 15300143559468424)*sqrt(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144) + 29282884968104501*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 20160*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 71/2*sqrt(2) + 9292) + 1/2*sqrt(2) + 71)*log(1/8*((1095266*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 547633*sqrt(2) + 820211864)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 + 897975750*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 - (547633*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 622111088*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 311055544*sqrt(2) + 210463757752)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) + 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 71/2*sqrt(2) + 9292)*((547633*sqrt(2)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142) + 897975750*sqrt(2))*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 897975750*sqrt(2)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142) - 255416581000*sqrt(2)) + 509267290000*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 254633645000*sqrt(2) - 57075233236000)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 71/2*sqrt(2) + 9292) + 1/2*sqrt(2) + 71) + 78292579460375*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 20160*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 71/2*sqrt(2) + 9292) + 1/2*sqrt(2) + 71)*log(-1/8*((1095266*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 547633*sqrt(2) + 820211864)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 + 897975750*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 - (547633*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 622111088*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 311055544*sqrt(2) + 210463757752)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) + 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 71/2*sqrt(2) + 9292)*((547633*sqrt(2)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142) + 897975750*sqrt(2))*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 897975750*sqrt(2)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142) - 255416581000*sqrt(2)) + 509267290000*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 254633645000*sqrt(2) - 57075233236000)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 71/2*sqrt(2) + 9292) + 1/2*sqrt(2) + 71) + 78292579460375*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 20160*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 71/2*sqrt(2) + 9292) + 1/2*sqrt(2) + 71)*log(1/8*((1095266*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 547633*sqrt(2) + 820211864)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 + 897975750*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 - (547633*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 622111088*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 311055544*sqrt(2) + 210463757752)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 71/2*sqrt(2) + 9292)*((547633*sqrt(2)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142) + 897975750*sqrt(2))*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 897975750*sqrt(2)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142) - 255416581000*sqrt(2)) + 509267290000*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 254633645000*sqrt(2) - 57075233236000)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 71/2*sqrt(2) + 9292) + 1/2*sqrt(2) + 71) + 78292579460375*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 20160*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 71/2*sqrt(2) + 9292) + 1/2*sqrt(2) + 71)*log(-1/8*((1095266*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 547633*sqrt(2) + 820211864)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 + 897975750*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 - (547633*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 622111088*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 311055544*sqrt(2) + 210463757752)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 4*sqrt(-3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 71/2*sqrt(2) + 9292)*((547633*sqrt(2)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142) + 897975750*sqrt(2))*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 897975750*sqrt(2)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142) - 255416581000*sqrt(2)) + 509267290000*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + 254633645000*sqrt(2) - 57075233236000)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 + 1/16*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) + 426)*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142) - 3/32*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - sqrt(2) + 142)^2 - 71*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 71/2*sqrt(2) + 9292) + 1/2*sqrt(2) + 71) + 78292579460375*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 80640*(x^2 - 1)*sqrt(-1/16*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 1/32*sqrt(2) + 71/16)*log((547633*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^3 - 586920206*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 - 458175321632*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 229087660816*sqrt(2) + 47301322903272)*sqrt(-1/16*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 1/32*sqrt(2) + 71/16) + 78292579460375*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 80640*(x^2 - 1)*sqrt(-1/16*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 1/32*sqrt(2) + 71/16)*log(-(547633*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^3 - 586920206*(2*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) + sqrt(2) - 142)^2 - 458175321632*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 229087660816*sqrt(2) + 47301322903272)*sqrt(-1/16*sqrt(1/2)*sqrt(14933*sqrt(2) + 18583) - 1/32*sqrt(2) + 71/16) + 78292579460375*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 80640*(x^2 - 1)*sqrt(-1/16*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 1/32*sqrt(2) + 9/2)*log((219023619*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^3 - 216084013730*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 111423914492816*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 55711957246408*sqrt(2) - 6239425231280344)*sqrt(-1/16*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 1/32*sqrt(2) + 9/2) + 29282884968104501*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 80640*(x^2 - 1)*sqrt(-1/16*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 1/32*sqrt(2) + 9/2)*log(-(219023619*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^3 - 216084013730*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 111423914492816*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 55711957246408*sqrt(2) - 6239425231280344)*sqrt(-1/16*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 1/32*sqrt(2) + 9/2) + 29282884968104501*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 40320*(x^2 - 1)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 9/2*sqrt(2) - 1137) + 18)*log(1/4*((438047238*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 219023619*sqrt(2) + 310702217138)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 - (219023619*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 + 252315209088*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 126157604544*sqrt(2) + 80733215480968)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144) + 342241618274*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 + 16*((438047238*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 219023619*sqrt(2) + 310702217138)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144) - 684483236548*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 342241618274*sqrt(2) - 48948468559064)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 9/2*sqrt(2) - 1137) + 197799821070608*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 98899910535304*sqrt(2) + 21107931056118640)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 9/2*sqrt(2) - 1137) + 18) + 29282884968104501*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 40320*(x^2 - 1)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 9/2*sqrt(2) - 1137) + 18)*log(-1/4*((438047238*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 219023619*sqrt(2) + 310702217138)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 - (219023619*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 + 252315209088*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 126157604544*sqrt(2) + 80733215480968)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144) + 342241618274*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 + 16*((438047238*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 219023619*sqrt(2) + 310702217138)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144) - 684483236548*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 342241618274*sqrt(2) - 48948468559064)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 9/2*sqrt(2) - 1137) + 197799821070608*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 98899910535304*sqrt(2) + 21107931056118640)*sqrt(-1/8*sqrt(2) + sqrt(-3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 9/2*sqrt(2) - 1137) + 18) + 29282884968104501*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 40320*(x^2 - 1)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 9/2*sqrt(2) - 1137) + 18)*log(1/4*((438047238*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 219023619*sqrt(2) + 310702217138)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 - (219023619*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 + 252315209088*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 126157604544*sqrt(2) + 80733215480968)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144) + 342241618274*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 16*((438047238*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 219023619*sqrt(2) + 310702217138)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144) - 684483236548*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 342241618274*sqrt(2) - 48948468559064)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 9/2*sqrt(2) - 1137) + 197799821070608*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 98899910535304*sqrt(2) + 21107931056118640)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 9/2*sqrt(2) - 1137) + 18) + 29282884968104501*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 40320*(x^2 - 1)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 9/2*sqrt(2) - 1137) + 18)*log(-1/4*((438047238*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 219023619*sqrt(2) + 310702217138)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 - (219023619*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 + 252315209088*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 126157604544*sqrt(2) + 80733215480968)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144) + 342241618274*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 16*((438047238*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 219023619*sqrt(2) + 310702217138)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144) - 684483236548*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 342241618274*sqrt(2) - 48948468559064)*sqrt(-3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 9/2*sqrt(2) - 1137) + 197799821070608*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - 98899910535304*sqrt(2) + 21107931056118640)*sqrt(-1/8*sqrt(2) - sqrt(-3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)^2 + 1/128*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + sqrt(2) + 144)*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) + 432) - 3/256*(2*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) - sqrt(2) - 144)^2 - 9*sqrt(1/2)*sqrt(14593*sqrt(2) - 18193) + 9/2*sqrt(2) - 1137) + 18) + 29282884968104501*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 724185*(x^2 - 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) - 724185*(x^2 - 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1) + 2*(1120*x^4 + 1818*x^3 - 804912*x^2 - 2*(9520*x^3 + 141*x^2 - 49840*x - 141)*sqrt(x^2 + 1) + (1680*x^4 - 2215*x^3 - 1864*x^2 - 5*(336*x^3 - 187*x^2 - 336*x + 187)*sqrt(x^2 + 1) + 2215*x + 184)*sqrt(x + sqrt(x^2 + 1)) - 1818*x + 803792)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 - 1)","B",0
3108,1,562,0,5.881724," ","integrate((x^4+1)^(1/2)/(1+x)^3/(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{2} {\left(x^{2} + 2 \, x + 1\right)} \sqrt{53 \, \sqrt{2} + 73} \arctan\left(\frac{\sqrt{2} {\left(14 \, x^{2} - 9 \, \sqrt{2} {\left(x^{2} + 1\right)} + 2 \, \sqrt{x^{4} + 1} {\left(7 \, \sqrt{2} - 9\right)} + 14\right)} \sqrt{53 \, \sqrt{2} + 73} \sqrt{\sqrt{2} + 1} + 2 \, {\left(9 \, x^{3} + 5 \, x^{2} - \sqrt{2} {\left(7 \, x^{3} + 2 \, x^{2} - 2 \, x + 7\right)} + \sqrt{x^{4} + 1} {\left(\sqrt{2} {\left(7 \, x + 2\right)} - 9 \, x - 5\right)} - 5 \, x + 9\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{53 \, \sqrt{2} + 73}}{34 \, {\left(x^{2} - 2 \, x + 1\right)}}\right) - \sqrt{2} {\left(x^{2} + 2 \, x + 1\right)} \sqrt{53 \, \sqrt{2} - 73} \log\left(-\frac{17 \, {\left(2 \, x^{3} - \sqrt{2} {\left(x^{3} - x^{2} - x - 1\right)} + \sqrt{x^{4} + 1} {\left(\sqrt{2} {\left(x - 1\right)} - 2 \, x\right)} - 2\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + {\left(4 \, x^{2} + 5 \, \sqrt{2} {\left(x^{2} + 1\right)} + 2 \, \sqrt{x^{4} + 1} {\left(2 \, \sqrt{2} + 5\right)} + 4\right)} \sqrt{53 \, \sqrt{2} - 73}}{x^{2} + 2 \, x + 1}\right) + \sqrt{2} {\left(x^{2} + 2 \, x + 1\right)} \sqrt{53 \, \sqrt{2} - 73} \log\left(-\frac{17 \, {\left(2 \, x^{3} - \sqrt{2} {\left(x^{3} - x^{2} - x - 1\right)} + \sqrt{x^{4} + 1} {\left(\sqrt{2} {\left(x - 1\right)} - 2 \, x\right)} - 2\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} - {\left(4 \, x^{2} + 5 \, \sqrt{2} {\left(x^{2} + 1\right)} + 2 \, \sqrt{x^{4} + 1} {\left(2 \, \sqrt{2} + 5\right)} + 4\right)} \sqrt{53 \, \sqrt{2} - 73}}{x^{2} + 2 \, x + 1}\right) - 24 \, \sqrt{2} {\left(x^{2} + 2 \, x + 1\right)} \arctan\left(-\frac{{\left(\sqrt{2} x^{2} - \sqrt{2} \sqrt{x^{4} + 1}\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{2 \, x}\right) - 8 \, {\left(2 \, x^{4} + 8 \, x^{3} + 5 \, x^{2} - \sqrt{x^{4} + 1} {\left(2 \, x^{2} + 8 \, x + 5\right)} + x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{16 \, {\left(x^{2} + 2 \, x + 1\right)}}"," ",0,"-1/16*(4*sqrt(2)*(x^2 + 2*x + 1)*sqrt(53*sqrt(2) + 73)*arctan(1/34*(sqrt(2)*(14*x^2 - 9*sqrt(2)*(x^2 + 1) + 2*sqrt(x^4 + 1)*(7*sqrt(2) - 9) + 14)*sqrt(53*sqrt(2) + 73)*sqrt(sqrt(2) + 1) + 2*(9*x^3 + 5*x^2 - sqrt(2)*(7*x^3 + 2*x^2 - 2*x + 7) + sqrt(x^4 + 1)*(sqrt(2)*(7*x + 2) - 9*x - 5) - 5*x + 9)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(53*sqrt(2) + 73))/(x^2 - 2*x + 1)) - sqrt(2)*(x^2 + 2*x + 1)*sqrt(53*sqrt(2) - 73)*log(-(17*(2*x^3 - sqrt(2)*(x^3 - x^2 - x - 1) + sqrt(x^4 + 1)*(sqrt(2)*(x - 1) - 2*x) - 2)*sqrt(x^2 + sqrt(x^4 + 1)) + (4*x^2 + 5*sqrt(2)*(x^2 + 1) + 2*sqrt(x^4 + 1)*(2*sqrt(2) + 5) + 4)*sqrt(53*sqrt(2) - 73))/(x^2 + 2*x + 1)) + sqrt(2)*(x^2 + 2*x + 1)*sqrt(53*sqrt(2) - 73)*log(-(17*(2*x^3 - sqrt(2)*(x^3 - x^2 - x - 1) + sqrt(x^4 + 1)*(sqrt(2)*(x - 1) - 2*x) - 2)*sqrt(x^2 + sqrt(x^4 + 1)) - (4*x^2 + 5*sqrt(2)*(x^2 + 1) + 2*sqrt(x^4 + 1)*(2*sqrt(2) + 5) + 4)*sqrt(53*sqrt(2) - 73))/(x^2 + 2*x + 1)) - 24*sqrt(2)*(x^2 + 2*x + 1)*arctan(-1/2*(sqrt(2)*x^2 - sqrt(2)*sqrt(x^4 + 1))*sqrt(x^2 + sqrt(x^4 + 1))/x) - 8*(2*x^4 + 8*x^3 + 5*x^2 - sqrt(x^4 + 1)*(2*x^2 + 8*x + 5) + x)*sqrt(x^2 + sqrt(x^4 + 1)))/(x^2 + 2*x + 1)","A",0
3109,1,374,0,0.524356," ","integrate(x^2/(1-(1-(1-1/x)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{1}{1024} \, \sqrt{2} \sqrt{74545 \, \sqrt{2} + 105233} \arctan\left(-\frac{1}{6319} \, \sqrt{74545 \, \sqrt{2} + 105233} {\left(112 \, \sqrt{2} - 137\right)} \sqrt{\sqrt{2} - \sqrt{-\sqrt{\frac{x - 1}{x}} + 1}} + \frac{1}{6319} \, \sqrt{74545 \, \sqrt{2} + 105233} {\left(112 \, \sqrt{2} - 137\right)} \sqrt{-\sqrt{-\sqrt{\frac{x - 1}{x}} + 1} + 1}\right) + \frac{1}{4096} \, \sqrt{2} \sqrt{74545 \, \sqrt{2} - 105233} \log\left(\sqrt{74545 \, \sqrt{2} - 105233} {\left(249 \, \sqrt{2} + 361\right)} + 6319 \, \sqrt{-\sqrt{-\sqrt{\frac{x - 1}{x}} + 1} + 1}\right) - \frac{1}{4096} \, \sqrt{2} \sqrt{74545 \, \sqrt{2} - 105233} \log\left(-\sqrt{74545 \, \sqrt{2} - 105233} {\left(249 \, \sqrt{2} + 361\right)} + 6319 \, \sqrt{-\sqrt{-\sqrt{\frac{x - 1}{x}} + 1} + 1}\right) - \frac{1}{30720} \, {\left(32 \, x^{2} - {\left(512 \, x^{3} + 912 \, x^{2} + {\left(10752 \, x^{3} + 12368 \, x^{2} + 17265 \, x\right)} \sqrt{\frac{x - 1}{x}} + 3177 \, x\right)} \sqrt{-\sqrt{\frac{x - 1}{x}} + 1} - 2 \, {\left(5120 \, x^{3} + 5744 \, x^{2} + 7125 \, x\right)} \sqrt{\frac{x - 1}{x}} + 174 \, x\right)} \sqrt{-\sqrt{-\sqrt{\frac{x - 1}{x}} + 1} + 1} + \frac{703}{4096} \, \log\left(\sqrt{-\sqrt{-\sqrt{\frac{x - 1}{x}} + 1} + 1} + 1\right) - \frac{703}{4096} \, \log\left(\sqrt{-\sqrt{-\sqrt{\frac{x - 1}{x}} + 1} + 1} - 1\right)"," ",0,"-1/1024*sqrt(2)*sqrt(74545*sqrt(2) + 105233)*arctan(-1/6319*sqrt(74545*sqrt(2) + 105233)*(112*sqrt(2) - 137)*sqrt(sqrt(2) - sqrt(-sqrt((x - 1)/x) + 1)) + 1/6319*sqrt(74545*sqrt(2) + 105233)*(112*sqrt(2) - 137)*sqrt(-sqrt(-sqrt((x - 1)/x) + 1) + 1)) + 1/4096*sqrt(2)*sqrt(74545*sqrt(2) - 105233)*log(sqrt(74545*sqrt(2) - 105233)*(249*sqrt(2) + 361) + 6319*sqrt(-sqrt(-sqrt((x - 1)/x) + 1) + 1)) - 1/4096*sqrt(2)*sqrt(74545*sqrt(2) - 105233)*log(-sqrt(74545*sqrt(2) - 105233)*(249*sqrt(2) + 361) + 6319*sqrt(-sqrt(-sqrt((x - 1)/x) + 1) + 1)) - 1/30720*(32*x^2 - (512*x^3 + 912*x^2 + (10752*x^3 + 12368*x^2 + 17265*x)*sqrt((x - 1)/x) + 3177*x)*sqrt(-sqrt((x - 1)/x) + 1) - 2*(5120*x^3 + 5744*x^2 + 7125*x)*sqrt((x - 1)/x) + 174*x)*sqrt(-sqrt(-sqrt((x - 1)/x) + 1) + 1) + 703/4096*log(sqrt(-sqrt(-sqrt((x - 1)/x) + 1) + 1) + 1) - 703/4096*log(sqrt(-sqrt(-sqrt((x - 1)/x) + 1) + 1) - 1)","A",0
3110,-1,0,0,0.000000," ","integrate((x^2+1)*(a*x^2-b*x-a)/x^2/(c*x^2+d*x-c)/((-_C0*x+x^2-1)/(-_C1*x+x^2-1))^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3111,1,6983,0,2.093881," ","integrate((x^2+1)^2*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{6 \, \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} - \frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + \frac{1}{16} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} - 408\right)} + 204 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 3502 \, \sqrt{2} + 3113} - \frac{103}{2} \, \sqrt{2} - 68} \log\left(\frac{1}{4} \, {\left({\left(87218678 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)} + 2664194769 \, \sqrt{2}\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} + 2664194769 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} - {\left(87218678 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} - 47446960832 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)} - 980021093843 \, \sqrt{2}\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} + 8 \, {\left({\left(523312068 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 8983523834 \, \sqrt{2} + 14525934977\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} - 15985168614 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 274412061207 \, \sqrt{2} + 106970371909\right)} \sqrt{-\frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} - \frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + \frac{1}{16} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} - 408\right)} + 204 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 3502 \, \sqrt{2} + 3113} - 980021093843 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)} - 50300006241720 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} - \frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + \frac{1}{16} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} - 408\right)} + 204 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 3502 \, \sqrt{2} + 3113} - \frac{103}{2} \, \sqrt{2} - 68} + 643948190735955 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 6 \, \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} - \frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + \frac{1}{16} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} - 408\right)} + 204 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 3502 \, \sqrt{2} + 3113} - \frac{103}{2} \, \sqrt{2} - 68} \log\left(-\frac{1}{4} \, {\left({\left(87218678 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)} + 2664194769 \, \sqrt{2}\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} + 2664194769 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} - {\left(87218678 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} - 47446960832 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)} - 980021093843 \, \sqrt{2}\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} + 8 \, {\left({\left(523312068 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 8983523834 \, \sqrt{2} + 14525934977\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} - 15985168614 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 274412061207 \, \sqrt{2} + 106970371909\right)} \sqrt{-\frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} - \frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + \frac{1}{16} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} - 408\right)} + 204 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 3502 \, \sqrt{2} + 3113} - 980021093843 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)} - 50300006241720 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} - \frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + \frac{1}{16} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} - 408\right)} + 204 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 3502 \, \sqrt{2} + 3113} - \frac{103}{2} \, \sqrt{2} - 68} + 643948190735955 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 6 \, \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} - \frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + \frac{1}{16} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} - 408\right)} + 204 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 3502 \, \sqrt{2} + 3113} - \frac{103}{2} \, \sqrt{2} - 68} \log\left(\frac{1}{4} \, {\left({\left(87218678 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)} + 2664194769 \, \sqrt{2}\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} + 2664194769 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} - {\left(87218678 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} - 47446960832 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)} - 980021093843 \, \sqrt{2}\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} - 8 \, {\left({\left(523312068 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 8983523834 \, \sqrt{2} + 14525934977\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} - 15985168614 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 274412061207 \, \sqrt{2} + 106970371909\right)} \sqrt{-\frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} - \frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + \frac{1}{16} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} - 408\right)} + 204 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 3502 \, \sqrt{2} + 3113} - 980021093843 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)} - 50300006241720 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} - \frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + \frac{1}{16} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} - 408\right)} + 204 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 3502 \, \sqrt{2} + 3113} - \frac{103}{2} \, \sqrt{2} - 68} + 643948190735955 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 6 \, \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} - \frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + \frac{1}{16} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} - 408\right)} + 204 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 3502 \, \sqrt{2} + 3113} - \frac{103}{2} \, \sqrt{2} - 68} \log\left(-\frac{1}{4} \, {\left({\left(87218678 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)} + 2664194769 \, \sqrt{2}\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} + 2664194769 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} - {\left(87218678 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} - 47446960832 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)} - 980021093843 \, \sqrt{2}\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} - 8 \, {\left({\left(523312068 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 8983523834 \, \sqrt{2} + 14525934977\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} - 15985168614 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 274412061207 \, \sqrt{2} + 106970371909\right)} \sqrt{-\frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} - \frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + \frac{1}{16} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} - 408\right)} + 204 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 3502 \, \sqrt{2} + 3113} - 980021093843 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)} - 50300006241720 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} - \frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + \frac{1}{16} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} - 408\right)} + 204 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 3502 \, \sqrt{2} + 3113} - \frac{103}{2} \, \sqrt{2} - 68} + 643948190735955 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 6 \, {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138} \log\left(\frac{1}{4} \, {\left({\left(695664458 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 36522384045 \, \sqrt{2} - 60246753700\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + 347832229 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{3} - {\left(347832229 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} + 384006780816 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 20160355992840 \, \sqrt{2} - 31910840672470\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} + 192003390408 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} + 37142916741536 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 1950003128930640 \, \sqrt{2} - 2830323388209768\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138} + 777374802509609 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 6 \, {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138} \log\left(-\frac{1}{4} \, {\left({\left(695664458 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 36522384045 \, \sqrt{2} - 60246753700\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + 347832229 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{3} - {\left(347832229 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} + 384006780816 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 20160355992840 \, \sqrt{2} - 31910840672470\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} + 192003390408 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} + 37142916741536 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 1950003128930640 \, \sqrt{2} - 2830323388209768\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138} + 777374802509609 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 48 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{105}{64} \, \sqrt{2} + \frac{69}{32}} \log\left(2 \, {\left(347832229 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{3} + 204249296506 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} + 47971662333868 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 2518512272528070 \, \sqrt{2} - 3340655309641284\right)} \sqrt{-\frac{1}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{105}{64} \, \sqrt{2} + \frac{69}{32}} + 777374802509609 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 48 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{105}{64} \, \sqrt{2} + \frac{69}{32}} \log\left(-2 \, {\left(347832229 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{3} + 204249296506 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} + 47971662333868 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 2518512272528070 \, \sqrt{2} - 3340655309641284\right)} \sqrt{-\frac{1}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{105}{64} \, \sqrt{2} + \frac{69}{32}} + 777374802509609 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 6 \, {\left(x^{2} - 1\right)} \sqrt{6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136} \log\left(\frac{1}{2} \, {\left({\left(523312068 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 8983523834 \, \sqrt{2} + 14525934977\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} + 87218678 \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{3} - {\left(87218678 \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} - 284681764992 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 4887036965696 \, \sqrt{2} - 7432807766995\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} - 47446960832 \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + 45042516316896 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 773229863440048 \, \sqrt{2} + 1147776444407108\right)} \sqrt{6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136} + 643948190735955 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 6 \, {\left(x^{2} - 1\right)} \sqrt{6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136} \log\left(-\frac{1}{2} \, {\left({\left(523312068 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 8983523834 \, \sqrt{2} + 14525934977\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} + 87218678 \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{3} - {\left(87218678 \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} - 284681764992 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 4887036965696 \, \sqrt{2} - 7432807766995\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} - 47446960832 \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + 45042516316896 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 773229863440048 \, \sqrt{2} + 1147776444407108\right)} \sqrt{6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136} + 643948190735955 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 48 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{3}{32} \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + \frac{103}{64} \, \sqrt{2} - \frac{17}{8}} \log\left(4 \, {\left(87218678 \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{3} - 50111155601 \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + 50922642879954 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 874172036105877 \, \sqrt{2} + 1228361941353076\right)} \sqrt{-\frac{3}{32} \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + \frac{103}{64} \, \sqrt{2} - \frac{17}{8}} + 643948190735955 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 48 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{3}{32} \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + \frac{103}{64} \, \sqrt{2} - \frac{17}{8}} \log\left(-4 \, {\left(87218678 \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{3} - 50111155601 \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + 50922642879954 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 874172036105877 \, \sqrt{2} + 1228361941353076\right)} \sqrt{-\frac{3}{32} \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + \frac{103}{64} \, \sqrt{2} - \frac{17}{8}} + 643948190735955 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 12 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{105}{4} \, \sqrt{2} + 4 \, \sqrt{-\frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + \frac{1}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} + 414\right)} - \frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - \frac{69}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{7245}{64} \, \sqrt{2} + \frac{7609}{32}} + \frac{69}{2}} \log\left(\frac{1}{4} \, {\left({\left(695664458 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 36522384045 \, \sqrt{2} - 60246753700\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} - {\left(347832229 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} + 384006780816 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 20160355992840 \, \sqrt{2} - 31910840672470\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} - 12245906098 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} + 32 \, {\left({\left(695664458 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 36522384045 \, \sqrt{2} - 60246753700\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} + 24491812196 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 1285820140290 \, \sqrt{2} - 344567671594\right)} \sqrt{-\frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + \frac{1}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} + 414\right)} - \frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - \frac{69}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{7245}{64} \, \sqrt{2} + \frac{7609}{32}} - 10828745592332 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 568509143597430 \, \sqrt{2} + 717083663391004\right)} \sqrt{-\frac{105}{4} \, \sqrt{2} + 4 \, \sqrt{-\frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + \frac{1}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} + 414\right)} - \frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - \frac{69}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{7245}{64} \, \sqrt{2} + \frac{7609}{32}} + \frac{69}{2}} + 777374802509609 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 12 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{105}{4} \, \sqrt{2} + 4 \, \sqrt{-\frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + \frac{1}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} + 414\right)} - \frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - \frac{69}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{7245}{64} \, \sqrt{2} + \frac{7609}{32}} + \frac{69}{2}} \log\left(-\frac{1}{4} \, {\left({\left(695664458 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 36522384045 \, \sqrt{2} - 60246753700\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} - {\left(347832229 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} + 384006780816 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 20160355992840 \, \sqrt{2} - 31910840672470\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} - 12245906098 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} + 32 \, {\left({\left(695664458 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 36522384045 \, \sqrt{2} - 60246753700\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} + 24491812196 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 1285820140290 \, \sqrt{2} - 344567671594\right)} \sqrt{-\frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + \frac{1}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} + 414\right)} - \frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - \frac{69}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{7245}{64} \, \sqrt{2} + \frac{7609}{32}} - 10828745592332 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 568509143597430 \, \sqrt{2} + 717083663391004\right)} \sqrt{-\frac{105}{4} \, \sqrt{2} + 4 \, \sqrt{-\frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + \frac{1}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} + 414\right)} - \frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - \frac{69}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{7245}{64} \, \sqrt{2} + \frac{7609}{32}} + \frac{69}{2}} + 777374802509609 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 12 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{105}{4} \, \sqrt{2} - 4 \, \sqrt{-\frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + \frac{1}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} + 414\right)} - \frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - \frac{69}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{7245}{64} \, \sqrt{2} + \frac{7609}{32}} + \frac{69}{2}} \log\left(\frac{1}{4} \, {\left({\left(695664458 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 36522384045 \, \sqrt{2} - 60246753700\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} - {\left(347832229 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} + 384006780816 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 20160355992840 \, \sqrt{2} - 31910840672470\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} - 12245906098 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - 32 \, {\left({\left(695664458 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 36522384045 \, \sqrt{2} - 60246753700\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} + 24491812196 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 1285820140290 \, \sqrt{2} - 344567671594\right)} \sqrt{-\frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + \frac{1}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} + 414\right)} - \frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - \frac{69}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{7245}{64} \, \sqrt{2} + \frac{7609}{32}} - 10828745592332 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 568509143597430 \, \sqrt{2} + 717083663391004\right)} \sqrt{-\frac{105}{4} \, \sqrt{2} - 4 \, \sqrt{-\frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + \frac{1}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} + 414\right)} - \frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - \frac{69}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{7245}{64} \, \sqrt{2} + \frac{7609}{32}} + \frac{69}{2}} + 777374802509609 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 12 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{105}{4} \, \sqrt{2} - 4 \, \sqrt{-\frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + \frac{1}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} + 414\right)} - \frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - \frac{69}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{7245}{64} \, \sqrt{2} + \frac{7609}{32}} + \frac{69}{2}} \log\left(-\frac{1}{4} \, {\left({\left(695664458 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 36522384045 \, \sqrt{2} - 60246753700\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} - {\left(347832229 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} + 384006780816 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 20160355992840 \, \sqrt{2} - 31910840672470\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} - 12245906098 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - 32 \, {\left({\left(695664458 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 36522384045 \, \sqrt{2} - 60246753700\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} + 24491812196 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 1285820140290 \, \sqrt{2} - 344567671594\right)} \sqrt{-\frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + \frac{1}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} + 414\right)} - \frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - \frac{69}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{7245}{64} \, \sqrt{2} + \frac{7609}{32}} - 10828745592332 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 568509143597430 \, \sqrt{2} + 717083663391004\right)} \sqrt{-\frac{105}{4} \, \sqrt{2} - 4 \, \sqrt{-\frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + \frac{1}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} + 414\right)} - \frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - \frac{69}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{7245}{64} \, \sqrt{2} + \frac{7609}{32}} + \frac{69}{2}} + 777374802509609 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 3 \, {\left(x^{2} - 1\right)} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) + 3 \, {\left(x^{2} - 1\right)} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right) + 2 \, {\left(2 \, x^{3} + 16 \, x^{2} - 2 \, \sqrt{x^{2} + 1} {\left(x^{2} - 1\right)} - {\left(16 \, x^{4} + 3 \, x^{3} - 72 \, x^{2} - {\left(16 \, x^{3} + 3 \, x^{2} - 64 \, x - 3\right)} \sqrt{x^{2} + 1} - 3 \, x + 8\right)} \sqrt{x + \sqrt{x^{2} + 1}} - 2 \, x - 16\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{48 \, {\left(x^{2} - 1\right)}}"," ",0,"1/48*(6*sqrt(2)*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 - 3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 1/16*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) - 408) + 204*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 3502*sqrt(2) + 3113) - 103/2*sqrt(2) - 68)*log(1/4*((87218678*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136) + 2664194769*sqrt(2))*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 + 2664194769*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 - (87218678*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 - 47446960832*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136) - 980021093843*sqrt(2))*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136) + 8*((523312068*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 8983523834*sqrt(2) + 14525934977)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136) - 15985168614*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 274412061207*sqrt(2) + 106970371909)*sqrt(-3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 - 3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 1/16*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) - 408) + 204*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 3502*sqrt(2) + 3113) - 980021093843*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136) - 50300006241720*sqrt(2))*sqrt(sqrt(2)*sqrt(-3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 - 3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 1/16*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) - 408) + 204*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 3502*sqrt(2) + 3113) - 103/2*sqrt(2) - 68) + 643948190735955*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 6*sqrt(2)*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 - 3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 1/16*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) - 408) + 204*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 3502*sqrt(2) + 3113) - 103/2*sqrt(2) - 68)*log(-1/4*((87218678*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136) + 2664194769*sqrt(2))*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 + 2664194769*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 - (87218678*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 - 47446960832*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136) - 980021093843*sqrt(2))*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136) + 8*((523312068*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 8983523834*sqrt(2) + 14525934977)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136) - 15985168614*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 274412061207*sqrt(2) + 106970371909)*sqrt(-3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 - 3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 1/16*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) - 408) + 204*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 3502*sqrt(2) + 3113) - 980021093843*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136) - 50300006241720*sqrt(2))*sqrt(sqrt(2)*sqrt(-3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 - 3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 1/16*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) - 408) + 204*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 3502*sqrt(2) + 3113) - 103/2*sqrt(2) - 68) + 643948190735955*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 6*sqrt(2)*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 - 3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 1/16*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) - 408) + 204*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 3502*sqrt(2) + 3113) - 103/2*sqrt(2) - 68)*log(1/4*((87218678*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136) + 2664194769*sqrt(2))*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 + 2664194769*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 - (87218678*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 - 47446960832*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136) - 980021093843*sqrt(2))*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136) - 8*((523312068*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 8983523834*sqrt(2) + 14525934977)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136) - 15985168614*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 274412061207*sqrt(2) + 106970371909)*sqrt(-3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 - 3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 1/16*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) - 408) + 204*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 3502*sqrt(2) + 3113) - 980021093843*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136) - 50300006241720*sqrt(2))*sqrt(-sqrt(2)*sqrt(-3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 - 3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 1/16*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) - 408) + 204*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 3502*sqrt(2) + 3113) - 103/2*sqrt(2) - 68) + 643948190735955*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 6*sqrt(2)*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 - 3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 1/16*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) - 408) + 204*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 3502*sqrt(2) + 3113) - 103/2*sqrt(2) - 68)*log(-1/4*((87218678*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136) + 2664194769*sqrt(2))*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 + 2664194769*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 - (87218678*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 - 47446960832*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136) - 980021093843*sqrt(2))*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136) - 8*((523312068*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 8983523834*sqrt(2) + 14525934977)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136) - 15985168614*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 274412061207*sqrt(2) + 106970371909)*sqrt(-3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 - 3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 1/16*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) - 408) + 204*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 3502*sqrt(2) + 3113) - 980021093843*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136) - 50300006241720*sqrt(2))*sqrt(-sqrt(2)*sqrt(-3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 - 3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 1/16*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) - 408) + 204*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 3502*sqrt(2) + 3113) - 103/2*sqrt(2) - 68) + 643948190735955*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 6*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*log(1/4*((695664458*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 36522384045*sqrt(2) - 60246753700)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 347832229*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^3 - (347832229*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 + 384006780816*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 20160355992840*sqrt(2) - 31910840672470)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138) + 192003390408*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 + 37142916741536*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 1950003128930640*sqrt(2) - 2830323388209768)*sqrt(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138) + 777374802509609*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 6*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*log(-1/4*((695664458*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 36522384045*sqrt(2) - 60246753700)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 347832229*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^3 - (347832229*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 + 384006780816*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 20160355992840*sqrt(2) - 31910840672470)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138) + 192003390408*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 + 37142916741536*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 1950003128930640*sqrt(2) - 2830323388209768)*sqrt(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138) + 777374802509609*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 48*(x^2 - 1)*sqrt(-1/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105/64*sqrt(2) + 69/32)*log(2*(347832229*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^3 + 204249296506*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 + 47971662333868*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 2518512272528070*sqrt(2) - 3340655309641284)*sqrt(-1/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105/64*sqrt(2) + 69/32) + 777374802509609*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 48*(x^2 - 1)*sqrt(-1/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105/64*sqrt(2) + 69/32)*log(-2*(347832229*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^3 + 204249296506*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 + 47971662333868*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 2518512272528070*sqrt(2) - 3340655309641284)*sqrt(-1/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105/64*sqrt(2) + 69/32) + 777374802509609*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 6*(x^2 - 1)*sqrt(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*log(1/2*((523312068*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 8983523834*sqrt(2) + 14525934977)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 + 87218678*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^3 - (87218678*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 - 284681764992*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 4887036965696*sqrt(2) - 7432807766995)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136) - 47446960832*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 45042516316896*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 773229863440048*sqrt(2) + 1147776444407108)*sqrt(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136) + 643948190735955*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 6*(x^2 - 1)*sqrt(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*log(-1/2*((523312068*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 8983523834*sqrt(2) + 14525934977)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 + 87218678*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^3 - (87218678*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 - 284681764992*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 4887036965696*sqrt(2) - 7432807766995)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136) - 47446960832*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 45042516316896*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 773229863440048*sqrt(2) + 1147776444407108)*sqrt(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136) + 643948190735955*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 48*(x^2 - 1)*sqrt(-3/32*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103/64*sqrt(2) - 17/8)*log(4*(87218678*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^3 - 50111155601*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 50922642879954*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 874172036105877*sqrt(2) + 1228361941353076)*sqrt(-3/32*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103/64*sqrt(2) - 17/8) + 643948190735955*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 48*(x^2 - 1)*sqrt(-3/32*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103/64*sqrt(2) - 17/8)*log(-4*(87218678*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^3 - 50111155601*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 50922642879954*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 874172036105877*sqrt(2) + 1228361941353076)*sqrt(-3/32*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103/64*sqrt(2) - 17/8) + 643948190735955*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 12*(x^2 - 1)*sqrt(-105/4*sqrt(2) + 4*sqrt(-3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 1/512*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) + 414) - 3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 69/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 7245/64*sqrt(2) + 7609/32) + 69/2)*log(1/4*((695664458*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 36522384045*sqrt(2) - 60246753700)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 - (347832229*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 + 384006780816*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 20160355992840*sqrt(2) - 31910840672470)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138) - 12245906098*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 + 32*((695664458*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 36522384045*sqrt(2) - 60246753700)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138) + 24491812196*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 1285820140290*sqrt(2) - 344567671594)*sqrt(-3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 1/512*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) + 414) - 3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 69/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 7245/64*sqrt(2) + 7609/32) - 10828745592332*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 568509143597430*sqrt(2) + 717083663391004)*sqrt(-105/4*sqrt(2) + 4*sqrt(-3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 1/512*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) + 414) - 3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 69/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 7245/64*sqrt(2) + 7609/32) + 69/2) + 777374802509609*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 12*(x^2 - 1)*sqrt(-105/4*sqrt(2) + 4*sqrt(-3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 1/512*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) + 414) - 3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 69/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 7245/64*sqrt(2) + 7609/32) + 69/2)*log(-1/4*((695664458*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 36522384045*sqrt(2) - 60246753700)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 - (347832229*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 + 384006780816*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 20160355992840*sqrt(2) - 31910840672470)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138) - 12245906098*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 + 32*((695664458*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 36522384045*sqrt(2) - 60246753700)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138) + 24491812196*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 1285820140290*sqrt(2) - 344567671594)*sqrt(-3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 1/512*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) + 414) - 3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 69/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 7245/64*sqrt(2) + 7609/32) - 10828745592332*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 568509143597430*sqrt(2) + 717083663391004)*sqrt(-105/4*sqrt(2) + 4*sqrt(-3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 1/512*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) + 414) - 3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 69/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 7245/64*sqrt(2) + 7609/32) + 69/2) + 777374802509609*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 12*(x^2 - 1)*sqrt(-105/4*sqrt(2) - 4*sqrt(-3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 1/512*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) + 414) - 3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 69/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 7245/64*sqrt(2) + 7609/32) + 69/2)*log(1/4*((695664458*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 36522384045*sqrt(2) - 60246753700)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 - (347832229*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 + 384006780816*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 20160355992840*sqrt(2) - 31910840672470)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138) - 12245906098*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 32*((695664458*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 36522384045*sqrt(2) - 60246753700)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138) + 24491812196*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 1285820140290*sqrt(2) - 344567671594)*sqrt(-3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 1/512*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) + 414) - 3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 69/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 7245/64*sqrt(2) + 7609/32) - 10828745592332*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 568509143597430*sqrt(2) + 717083663391004)*sqrt(-105/4*sqrt(2) - 4*sqrt(-3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 1/512*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) + 414) - 3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 69/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 7245/64*sqrt(2) + 7609/32) + 69/2) + 777374802509609*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 12*(x^2 - 1)*sqrt(-105/4*sqrt(2) - 4*sqrt(-3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 1/512*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) + 414) - 3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 69/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 7245/64*sqrt(2) + 7609/32) + 69/2)*log(-1/4*((695664458*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 36522384045*sqrt(2) - 60246753700)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 - (347832229*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 + 384006780816*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 20160355992840*sqrt(2) - 31910840672470)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138) - 12245906098*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 32*((695664458*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 36522384045*sqrt(2) - 60246753700)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138) + 24491812196*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 1285820140290*sqrt(2) - 344567671594)*sqrt(-3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 1/512*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) + 414) - 3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 69/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 7245/64*sqrt(2) + 7609/32) - 10828745592332*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 568509143597430*sqrt(2) + 717083663391004)*sqrt(-105/4*sqrt(2) - 4*sqrt(-3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 1/512*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) + 414) - 3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 69/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 7245/64*sqrt(2) + 7609/32) + 69/2) + 777374802509609*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 3*(x^2 - 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) + 3*(x^2 - 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1) + 2*(2*x^3 + 16*x^2 - 2*sqrt(x^2 + 1)*(x^2 - 1) - (16*x^4 + 3*x^3 - 72*x^2 - (16*x^3 + 3*x^2 - 64*x - 3)*sqrt(x^2 + 1) - 3*x + 8)*sqrt(x + sqrt(x^2 + 1)) - 2*x - 16)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 - 1)","B",0
3112,1,6983,0,2.072518," ","integrate((x^2+1)^2*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{6 \, \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} - \frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + \frac{1}{16} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} - 408\right)} + 204 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 3502 \, \sqrt{2} + 3113} - \frac{103}{2} \, \sqrt{2} - 68} \log\left(\frac{1}{4} \, {\left({\left(87218678 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)} + 2664194769 \, \sqrt{2}\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} + 2664194769 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} - {\left(87218678 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} - 47446960832 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)} - 980021093843 \, \sqrt{2}\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} + 8 \, {\left({\left(523312068 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 8983523834 \, \sqrt{2} + 14525934977\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} - 15985168614 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 274412061207 \, \sqrt{2} + 106970371909\right)} \sqrt{-\frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} - \frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + \frac{1}{16} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} - 408\right)} + 204 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 3502 \, \sqrt{2} + 3113} - 980021093843 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)} - 50300006241720 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} - \frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + \frac{1}{16} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} - 408\right)} + 204 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 3502 \, \sqrt{2} + 3113} - \frac{103}{2} \, \sqrt{2} - 68} + 643948190735955 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 6 \, \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} - \frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + \frac{1}{16} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} - 408\right)} + 204 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 3502 \, \sqrt{2} + 3113} - \frac{103}{2} \, \sqrt{2} - 68} \log\left(-\frac{1}{4} \, {\left({\left(87218678 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)} + 2664194769 \, \sqrt{2}\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} + 2664194769 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} - {\left(87218678 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} - 47446960832 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)} - 980021093843 \, \sqrt{2}\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} + 8 \, {\left({\left(523312068 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 8983523834 \, \sqrt{2} + 14525934977\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} - 15985168614 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 274412061207 \, \sqrt{2} + 106970371909\right)} \sqrt{-\frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} - \frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + \frac{1}{16} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} - 408\right)} + 204 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 3502 \, \sqrt{2} + 3113} - 980021093843 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)} - 50300006241720 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} - \frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + \frac{1}{16} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} - 408\right)} + 204 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 3502 \, \sqrt{2} + 3113} - \frac{103}{2} \, \sqrt{2} - 68} + 643948190735955 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 6 \, \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} - \frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + \frac{1}{16} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} - 408\right)} + 204 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 3502 \, \sqrt{2} + 3113} - \frac{103}{2} \, \sqrt{2} - 68} \log\left(\frac{1}{4} \, {\left({\left(87218678 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)} + 2664194769 \, \sqrt{2}\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} + 2664194769 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} - {\left(87218678 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} - 47446960832 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)} - 980021093843 \, \sqrt{2}\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} - 8 \, {\left({\left(523312068 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 8983523834 \, \sqrt{2} + 14525934977\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} - 15985168614 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 274412061207 \, \sqrt{2} + 106970371909\right)} \sqrt{-\frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} - \frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + \frac{1}{16} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} - 408\right)} + 204 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 3502 \, \sqrt{2} + 3113} - 980021093843 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)} - 50300006241720 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} - \frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + \frac{1}{16} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} - 408\right)} + 204 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 3502 \, \sqrt{2} + 3113} - \frac{103}{2} \, \sqrt{2} - 68} + 643948190735955 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 6 \, \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} - \frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + \frac{1}{16} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} - 408\right)} + 204 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 3502 \, \sqrt{2} + 3113} - \frac{103}{2} \, \sqrt{2} - 68} \log\left(-\frac{1}{4} \, {\left({\left(87218678 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)} + 2664194769 \, \sqrt{2}\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} + 2664194769 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} - {\left(87218678 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} - 47446960832 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)} - 980021093843 \, \sqrt{2}\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} - 8 \, {\left({\left(523312068 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 8983523834 \, \sqrt{2} + 14525934977\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} - 15985168614 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 274412061207 \, \sqrt{2} + 106970371909\right)} \sqrt{-\frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} - \frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + \frac{1}{16} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} - 408\right)} + 204 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 3502 \, \sqrt{2} + 3113} - 980021093843 \, \sqrt{2} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)} - 50300006241720 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} - \frac{3}{32} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + \frac{1}{16} \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} - 408\right)} + 204 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 3502 \, \sqrt{2} + 3113} - \frac{103}{2} \, \sqrt{2} - 68} + 643948190735955 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 6 \, {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138} \log\left(\frac{1}{4} \, {\left({\left(695664458 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 36522384045 \, \sqrt{2} - 60246753700\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + 347832229 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{3} - {\left(347832229 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} + 384006780816 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 20160355992840 \, \sqrt{2} - 31910840672470\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} + 192003390408 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} + 37142916741536 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 1950003128930640 \, \sqrt{2} - 2830323388209768\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138} + 777374802509609 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 6 \, {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138} \log\left(-\frac{1}{4} \, {\left({\left(695664458 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 36522384045 \, \sqrt{2} - 60246753700\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + 347832229 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{3} - {\left(347832229 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} + 384006780816 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 20160355992840 \, \sqrt{2} - 31910840672470\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} + 192003390408 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} + 37142916741536 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 1950003128930640 \, \sqrt{2} - 2830323388209768\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138} + 777374802509609 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 48 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{105}{64} \, \sqrt{2} + \frac{69}{32}} \log\left(2 \, {\left(347832229 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{3} + 204249296506 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} + 47971662333868 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 2518512272528070 \, \sqrt{2} - 3340655309641284\right)} \sqrt{-\frac{1}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{105}{64} \, \sqrt{2} + \frac{69}{32}} + 777374802509609 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 48 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{105}{64} \, \sqrt{2} + \frac{69}{32}} \log\left(-2 \, {\left(347832229 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{3} + 204249296506 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} + 47971662333868 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 2518512272528070 \, \sqrt{2} - 3340655309641284\right)} \sqrt{-\frac{1}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{105}{64} \, \sqrt{2} + \frac{69}{32}} + 777374802509609 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 6 \, {\left(x^{2} - 1\right)} \sqrt{6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136} \log\left(\frac{1}{2} \, {\left({\left(523312068 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 8983523834 \, \sqrt{2} + 14525934977\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} + 87218678 \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{3} - {\left(87218678 \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} - 284681764992 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 4887036965696 \, \sqrt{2} - 7432807766995\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} - 47446960832 \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + 45042516316896 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 773229863440048 \, \sqrt{2} + 1147776444407108\right)} \sqrt{6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136} + 643948190735955 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 6 \, {\left(x^{2} - 1\right)} \sqrt{6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136} \log\left(-\frac{1}{2} \, {\left({\left(523312068 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 8983523834 \, \sqrt{2} + 14525934977\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)}^{2} + 87218678 \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{3} - {\left(87218678 \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} - 284681764992 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 4887036965696 \, \sqrt{2} - 7432807766995\right)} {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136\right)} - 47446960832 \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + 45042516316896 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 773229863440048 \, \sqrt{2} + 1147776444407108\right)} \sqrt{6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + 103 \, \sqrt{2} - 136} + 643948190735955 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 48 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{3}{32} \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + \frac{103}{64} \, \sqrt{2} - \frac{17}{8}} \log\left(4 \, {\left(87218678 \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{3} - 50111155601 \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + 50922642879954 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 874172036105877 \, \sqrt{2} + 1228361941353076\right)} \sqrt{-\frac{3}{32} \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + \frac{103}{64} \, \sqrt{2} - \frac{17}{8}} + 643948190735955 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 48 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{3}{32} \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + \frac{103}{64} \, \sqrt{2} - \frac{17}{8}} \log\left(-4 \, {\left(87218678 \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{3} - 50111155601 \, {\left(6 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 103 \, \sqrt{2} + 136\right)}^{2} + 50922642879954 \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} - 874172036105877 \, \sqrt{2} + 1228361941353076\right)} \sqrt{-\frac{3}{32} \, \sqrt{\frac{1}{2}} \sqrt{377 \, \sqrt{2} - 487} + \frac{103}{64} \, \sqrt{2} - \frac{17}{8}} + 643948190735955 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 12 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{105}{4} \, \sqrt{2} + 4 \, \sqrt{-\frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + \frac{1}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} + 414\right)} - \frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - \frac{69}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{7245}{64} \, \sqrt{2} + \frac{7609}{32}} + \frac{69}{2}} \log\left(\frac{1}{4} \, {\left({\left(695664458 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 36522384045 \, \sqrt{2} - 60246753700\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} - {\left(347832229 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} + 384006780816 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 20160355992840 \, \sqrt{2} - 31910840672470\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} - 12245906098 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} + 32 \, {\left({\left(695664458 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 36522384045 \, \sqrt{2} - 60246753700\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} + 24491812196 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 1285820140290 \, \sqrt{2} - 344567671594\right)} \sqrt{-\frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + \frac{1}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} + 414\right)} - \frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - \frac{69}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{7245}{64} \, \sqrt{2} + \frac{7609}{32}} - 10828745592332 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 568509143597430 \, \sqrt{2} + 717083663391004\right)} \sqrt{-\frac{105}{4} \, \sqrt{2} + 4 \, \sqrt{-\frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + \frac{1}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} + 414\right)} - \frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - \frac{69}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{7245}{64} \, \sqrt{2} + \frac{7609}{32}} + \frac{69}{2}} + 777374802509609 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 12 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{105}{4} \, \sqrt{2} + 4 \, \sqrt{-\frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + \frac{1}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} + 414\right)} - \frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - \frac{69}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{7245}{64} \, \sqrt{2} + \frac{7609}{32}} + \frac{69}{2}} \log\left(-\frac{1}{4} \, {\left({\left(695664458 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 36522384045 \, \sqrt{2} - 60246753700\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} - {\left(347832229 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} + 384006780816 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 20160355992840 \, \sqrt{2} - 31910840672470\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} - 12245906098 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} + 32 \, {\left({\left(695664458 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 36522384045 \, \sqrt{2} - 60246753700\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} + 24491812196 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 1285820140290 \, \sqrt{2} - 344567671594\right)} \sqrt{-\frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + \frac{1}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} + 414\right)} - \frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - \frac{69}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{7245}{64} \, \sqrt{2} + \frac{7609}{32}} - 10828745592332 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 568509143597430 \, \sqrt{2} + 717083663391004\right)} \sqrt{-\frac{105}{4} \, \sqrt{2} + 4 \, \sqrt{-\frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + \frac{1}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} + 414\right)} - \frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - \frac{69}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{7245}{64} \, \sqrt{2} + \frac{7609}{32}} + \frac{69}{2}} + 777374802509609 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 12 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{105}{4} \, \sqrt{2} - 4 \, \sqrt{-\frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + \frac{1}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} + 414\right)} - \frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - \frac{69}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{7245}{64} \, \sqrt{2} + \frac{7609}{32}} + \frac{69}{2}} \log\left(\frac{1}{4} \, {\left({\left(695664458 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 36522384045 \, \sqrt{2} - 60246753700\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} - {\left(347832229 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} + 384006780816 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 20160355992840 \, \sqrt{2} - 31910840672470\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} - 12245906098 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - 32 \, {\left({\left(695664458 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 36522384045 \, \sqrt{2} - 60246753700\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} + 24491812196 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 1285820140290 \, \sqrt{2} - 344567671594\right)} \sqrt{-\frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + \frac{1}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} + 414\right)} - \frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - \frac{69}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{7245}{64} \, \sqrt{2} + \frac{7609}{32}} - 10828745592332 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 568509143597430 \, \sqrt{2} + 717083663391004\right)} \sqrt{-\frac{105}{4} \, \sqrt{2} - 4 \, \sqrt{-\frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + \frac{1}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} + 414\right)} - \frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - \frac{69}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{7245}{64} \, \sqrt{2} + \frac{7609}{32}} + \frac{69}{2}} + 777374802509609 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 12 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{105}{4} \, \sqrt{2} - 4 \, \sqrt{-\frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + \frac{1}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} + 414\right)} - \frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - \frac{69}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{7245}{64} \, \sqrt{2} + \frac{7609}{32}} + \frac{69}{2}} \log\left(-\frac{1}{4} \, {\left({\left(695664458 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 36522384045 \, \sqrt{2} - 60246753700\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} - {\left(347832229 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} + 384006780816 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 20160355992840 \, \sqrt{2} - 31910840672470\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} - 12245906098 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - 32 \, {\left({\left(695664458 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 36522384045 \, \sqrt{2} - 60246753700\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} + 24491812196 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 1285820140290 \, \sqrt{2} - 344567671594\right)} \sqrt{-\frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + \frac{1}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} + 414\right)} - \frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - \frac{69}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{7245}{64} \, \sqrt{2} + \frac{7609}{32}} - 10828745592332 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 568509143597430 \, \sqrt{2} + 717083663391004\right)} \sqrt{-\frac{105}{4} \, \sqrt{2} - 4 \, \sqrt{-\frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)}^{2} + \frac{1}{512} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + 105 \, \sqrt{2} + 138\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} + 414\right)} - \frac{3}{1024} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} - 105 \, \sqrt{2} - 138\right)}^{2} - \frac{69}{32} \, \sqrt{\frac{1}{2}} \sqrt{3233 \, \sqrt{2} + 4193} + \frac{7245}{64} \, \sqrt{2} + \frac{7609}{32}} + \frac{69}{2}} + 777374802509609 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 3 \, {\left(x^{2} - 1\right)} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) + 3 \, {\left(x^{2} - 1\right)} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right) + 2 \, {\left(2 \, x^{3} + 16 \, x^{2} - 2 \, \sqrt{x^{2} + 1} {\left(x^{2} - 1\right)} - {\left(16 \, x^{4} + 3 \, x^{3} - 72 \, x^{2} - {\left(16 \, x^{3} + 3 \, x^{2} - 64 \, x - 3\right)} \sqrt{x^{2} + 1} - 3 \, x + 8\right)} \sqrt{x + \sqrt{x^{2} + 1}} - 2 \, x - 16\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{48 \, {\left(x^{2} - 1\right)}}"," ",0,"1/48*(6*sqrt(2)*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 - 3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 1/16*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) - 408) + 204*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 3502*sqrt(2) + 3113) - 103/2*sqrt(2) - 68)*log(1/4*((87218678*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136) + 2664194769*sqrt(2))*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 + 2664194769*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 - (87218678*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 - 47446960832*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136) - 980021093843*sqrt(2))*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136) + 8*((523312068*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 8983523834*sqrt(2) + 14525934977)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136) - 15985168614*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 274412061207*sqrt(2) + 106970371909)*sqrt(-3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 - 3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 1/16*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) - 408) + 204*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 3502*sqrt(2) + 3113) - 980021093843*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136) - 50300006241720*sqrt(2))*sqrt(sqrt(2)*sqrt(-3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 - 3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 1/16*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) - 408) + 204*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 3502*sqrt(2) + 3113) - 103/2*sqrt(2) - 68) + 643948190735955*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 6*sqrt(2)*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 - 3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 1/16*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) - 408) + 204*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 3502*sqrt(2) + 3113) - 103/2*sqrt(2) - 68)*log(-1/4*((87218678*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136) + 2664194769*sqrt(2))*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 + 2664194769*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 - (87218678*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 - 47446960832*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136) - 980021093843*sqrt(2))*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136) + 8*((523312068*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 8983523834*sqrt(2) + 14525934977)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136) - 15985168614*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 274412061207*sqrt(2) + 106970371909)*sqrt(-3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 - 3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 1/16*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) - 408) + 204*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 3502*sqrt(2) + 3113) - 980021093843*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136) - 50300006241720*sqrt(2))*sqrt(sqrt(2)*sqrt(-3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 - 3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 1/16*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) - 408) + 204*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 3502*sqrt(2) + 3113) - 103/2*sqrt(2) - 68) + 643948190735955*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 6*sqrt(2)*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 - 3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 1/16*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) - 408) + 204*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 3502*sqrt(2) + 3113) - 103/2*sqrt(2) - 68)*log(1/4*((87218678*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136) + 2664194769*sqrt(2))*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 + 2664194769*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 - (87218678*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 - 47446960832*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136) - 980021093843*sqrt(2))*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136) - 8*((523312068*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 8983523834*sqrt(2) + 14525934977)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136) - 15985168614*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 274412061207*sqrt(2) + 106970371909)*sqrt(-3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 - 3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 1/16*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) - 408) + 204*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 3502*sqrt(2) + 3113) - 980021093843*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136) - 50300006241720*sqrt(2))*sqrt(-sqrt(2)*sqrt(-3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 - 3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 1/16*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) - 408) + 204*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 3502*sqrt(2) + 3113) - 103/2*sqrt(2) - 68) + 643948190735955*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 6*sqrt(2)*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 - 3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 1/16*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) - 408) + 204*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 3502*sqrt(2) + 3113) - 103/2*sqrt(2) - 68)*log(-1/4*((87218678*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136) + 2664194769*sqrt(2))*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 + 2664194769*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 - (87218678*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 - 47446960832*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136) - 980021093843*sqrt(2))*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136) - 8*((523312068*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 8983523834*sqrt(2) + 14525934977)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136) - 15985168614*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 274412061207*sqrt(2) + 106970371909)*sqrt(-3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 - 3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 1/16*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) - 408) + 204*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 3502*sqrt(2) + 3113) - 980021093843*sqrt(2)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136) - 50300006241720*sqrt(2))*sqrt(-sqrt(2)*sqrt(-3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 - 3/32*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 1/16*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) - 408) + 204*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 3502*sqrt(2) + 3113) - 103/2*sqrt(2) - 68) + 643948190735955*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 6*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*log(1/4*((695664458*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 36522384045*sqrt(2) - 60246753700)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 347832229*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^3 - (347832229*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 + 384006780816*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 20160355992840*sqrt(2) - 31910840672470)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138) + 192003390408*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 + 37142916741536*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 1950003128930640*sqrt(2) - 2830323388209768)*sqrt(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138) + 777374802509609*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 6*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*log(-1/4*((695664458*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 36522384045*sqrt(2) - 60246753700)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 347832229*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^3 - (347832229*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 + 384006780816*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 20160355992840*sqrt(2) - 31910840672470)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138) + 192003390408*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 + 37142916741536*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 1950003128930640*sqrt(2) - 2830323388209768)*sqrt(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138) + 777374802509609*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 48*(x^2 - 1)*sqrt(-1/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105/64*sqrt(2) + 69/32)*log(2*(347832229*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^3 + 204249296506*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 + 47971662333868*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 2518512272528070*sqrt(2) - 3340655309641284)*sqrt(-1/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105/64*sqrt(2) + 69/32) + 777374802509609*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 48*(x^2 - 1)*sqrt(-1/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105/64*sqrt(2) + 69/32)*log(-2*(347832229*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^3 + 204249296506*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 + 47971662333868*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 2518512272528070*sqrt(2) - 3340655309641284)*sqrt(-1/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105/64*sqrt(2) + 69/32) + 777374802509609*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 6*(x^2 - 1)*sqrt(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*log(1/2*((523312068*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 8983523834*sqrt(2) + 14525934977)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 + 87218678*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^3 - (87218678*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 - 284681764992*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 4887036965696*sqrt(2) - 7432807766995)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136) - 47446960832*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 45042516316896*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 773229863440048*sqrt(2) + 1147776444407108)*sqrt(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136) + 643948190735955*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 6*(x^2 - 1)*sqrt(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)*log(-1/2*((523312068*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 8983523834*sqrt(2) + 14525934977)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136)^2 + 87218678*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^3 - (87218678*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 - 284681764992*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 4887036965696*sqrt(2) - 7432807766995)*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136) - 47446960832*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 45042516316896*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 773229863440048*sqrt(2) + 1147776444407108)*sqrt(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103*sqrt(2) - 136) + 643948190735955*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 48*(x^2 - 1)*sqrt(-3/32*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103/64*sqrt(2) - 17/8)*log(4*(87218678*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^3 - 50111155601*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 50922642879954*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 874172036105877*sqrt(2) + 1228361941353076)*sqrt(-3/32*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103/64*sqrt(2) - 17/8) + 643948190735955*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 48*(x^2 - 1)*sqrt(-3/32*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103/64*sqrt(2) - 17/8)*log(-4*(87218678*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^3 - 50111155601*(6*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 103*sqrt(2) + 136)^2 + 50922642879954*sqrt(1/2)*sqrt(377*sqrt(2) - 487) - 874172036105877*sqrt(2) + 1228361941353076)*sqrt(-3/32*sqrt(1/2)*sqrt(377*sqrt(2) - 487) + 103/64*sqrt(2) - 17/8) + 643948190735955*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 12*(x^2 - 1)*sqrt(-105/4*sqrt(2) + 4*sqrt(-3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 1/512*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) + 414) - 3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 69/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 7245/64*sqrt(2) + 7609/32) + 69/2)*log(1/4*((695664458*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 36522384045*sqrt(2) - 60246753700)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 - (347832229*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 + 384006780816*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 20160355992840*sqrt(2) - 31910840672470)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138) - 12245906098*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 + 32*((695664458*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 36522384045*sqrt(2) - 60246753700)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138) + 24491812196*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 1285820140290*sqrt(2) - 344567671594)*sqrt(-3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 1/512*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) + 414) - 3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 69/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 7245/64*sqrt(2) + 7609/32) - 10828745592332*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 568509143597430*sqrt(2) + 717083663391004)*sqrt(-105/4*sqrt(2) + 4*sqrt(-3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 1/512*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) + 414) - 3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 69/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 7245/64*sqrt(2) + 7609/32) + 69/2) + 777374802509609*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 12*(x^2 - 1)*sqrt(-105/4*sqrt(2) + 4*sqrt(-3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 1/512*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) + 414) - 3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 69/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 7245/64*sqrt(2) + 7609/32) + 69/2)*log(-1/4*((695664458*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 36522384045*sqrt(2) - 60246753700)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 - (347832229*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 + 384006780816*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 20160355992840*sqrt(2) - 31910840672470)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138) - 12245906098*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 + 32*((695664458*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 36522384045*sqrt(2) - 60246753700)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138) + 24491812196*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 1285820140290*sqrt(2) - 344567671594)*sqrt(-3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 1/512*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) + 414) - 3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 69/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 7245/64*sqrt(2) + 7609/32) - 10828745592332*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 568509143597430*sqrt(2) + 717083663391004)*sqrt(-105/4*sqrt(2) + 4*sqrt(-3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 1/512*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) + 414) - 3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 69/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 7245/64*sqrt(2) + 7609/32) + 69/2) + 777374802509609*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 12*(x^2 - 1)*sqrt(-105/4*sqrt(2) - 4*sqrt(-3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 1/512*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) + 414) - 3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 69/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 7245/64*sqrt(2) + 7609/32) + 69/2)*log(1/4*((695664458*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 36522384045*sqrt(2) - 60246753700)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 - (347832229*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 + 384006780816*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 20160355992840*sqrt(2) - 31910840672470)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138) - 12245906098*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 32*((695664458*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 36522384045*sqrt(2) - 60246753700)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138) + 24491812196*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 1285820140290*sqrt(2) - 344567671594)*sqrt(-3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 1/512*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) + 414) - 3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 69/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 7245/64*sqrt(2) + 7609/32) - 10828745592332*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 568509143597430*sqrt(2) + 717083663391004)*sqrt(-105/4*sqrt(2) - 4*sqrt(-3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 1/512*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) + 414) - 3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 69/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 7245/64*sqrt(2) + 7609/32) + 69/2) + 777374802509609*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 12*(x^2 - 1)*sqrt(-105/4*sqrt(2) - 4*sqrt(-3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 1/512*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) + 414) - 3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 69/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 7245/64*sqrt(2) + 7609/32) + 69/2)*log(-1/4*((695664458*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 36522384045*sqrt(2) - 60246753700)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 - (347832229*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 + 384006780816*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 20160355992840*sqrt(2) - 31910840672470)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138) - 12245906098*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 32*((695664458*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 36522384045*sqrt(2) - 60246753700)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138) + 24491812196*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 1285820140290*sqrt(2) - 344567671594)*sqrt(-3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 1/512*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) + 414) - 3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 69/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 7245/64*sqrt(2) + 7609/32) - 10828745592332*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 568509143597430*sqrt(2) + 717083663391004)*sqrt(-105/4*sqrt(2) - 4*sqrt(-3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)^2 + 1/512*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 105*sqrt(2) + 138)*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) + 414) - 3/1024*(2*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) - 105*sqrt(2) - 138)^2 - 69/32*sqrt(1/2)*sqrt(3233*sqrt(2) + 4193) + 7245/64*sqrt(2) + 7609/32) + 69/2) + 777374802509609*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 3*(x^2 - 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) + 3*(x^2 - 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1) + 2*(2*x^3 + 16*x^2 - 2*sqrt(x^2 + 1)*(x^2 - 1) - (16*x^4 + 3*x^3 - 72*x^2 - (16*x^3 + 3*x^2 - 64*x - 3)*sqrt(x^2 + 1) - 3*x + 8)*sqrt(x + sqrt(x^2 + 1)) - 2*x - 16)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 - 1)","B",0
3113,1,7099,0,2.132156," ","integrate((x^2+1)^2*(x+(x^2+1)^(1/2))^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2,x, algorithm=""fricas"")","-\frac{105 \, \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} + 396\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 66 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 3333 \, \sqrt{2} + 45361} - \frac{101}{2} \, \sqrt{2} + 66} \log\left(\frac{1}{8} \, {\left(5 \, {\left(1087899451 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)} - 11039605670 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} - 55198028350 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - {\left(5439497255 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} + 2872054550640 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)} - 28437296565606 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} + 8 \, {\left(5 \, {\left(2175798902 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 109877844551 \, \sqrt{2} - 154642333202\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} + 110396056700 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 5575000863350 \, \sqrt{2} - 6578877339006\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} + 396\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 66 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 3333 \, \sqrt{2} + 45361} - 28437296565606 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)} + 402764487053168 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} + 396\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 66 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 3333 \, \sqrt{2} + 45361} - \frac{101}{2} \, \sqrt{2} + 66} + 3462064407728593 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 105 \, \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} + 396\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 66 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 3333 \, \sqrt{2} + 45361} - \frac{101}{2} \, \sqrt{2} + 66} \log\left(-\frac{1}{8} \, {\left(5 \, {\left(1087899451 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)} - 11039605670 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} - 55198028350 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - {\left(5439497255 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} + 2872054550640 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)} - 28437296565606 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} + 8 \, {\left(5 \, {\left(2175798902 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 109877844551 \, \sqrt{2} - 154642333202\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} + 110396056700 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 5575000863350 \, \sqrt{2} - 6578877339006\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} + 396\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 66 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 3333 \, \sqrt{2} + 45361} - 28437296565606 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)} + 402764487053168 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} + 396\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 66 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 3333 \, \sqrt{2} + 45361} - \frac{101}{2} \, \sqrt{2} + 66} + 3462064407728593 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 105 \, \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} + 396\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 66 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 3333 \, \sqrt{2} + 45361} - \frac{101}{2} \, \sqrt{2} + 66} \log\left(\frac{1}{8} \, {\left(5 \, {\left(1087899451 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)} - 11039605670 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} - 55198028350 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - {\left(5439497255 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} + 2872054550640 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)} - 28437296565606 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} - 8 \, {\left(5 \, {\left(2175798902 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 109877844551 \, \sqrt{2} - 154642333202\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} + 110396056700 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 5575000863350 \, \sqrt{2} - 6578877339006\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} + 396\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 66 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 3333 \, \sqrt{2} + 45361} - 28437296565606 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)} + 402764487053168 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} + 396\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 66 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 3333 \, \sqrt{2} + 45361} - \frac{101}{2} \, \sqrt{2} + 66} + 3462064407728593 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 105 \, \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} + 396\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 66 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 3333 \, \sqrt{2} + 45361} - \frac{101}{2} \, \sqrt{2} + 66} \log\left(-\frac{1}{8} \, {\left(5 \, {\left(1087899451 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)} - 11039605670 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} - 55198028350 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - {\left(5439497255 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} + 2872054550640 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)} - 28437296565606 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} - 8 \, {\left(5 \, {\left(2175798902 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 109877844551 \, \sqrt{2} - 154642333202\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} + 110396056700 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 5575000863350 \, \sqrt{2} - 6578877339006\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} + 396\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 66 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 3333 \, \sqrt{2} + 45361} - 28437296565606 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)} + 402764487053168 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} + 396\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 66 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 3333 \, \sqrt{2} + 45361} - \frac{101}{2} \, \sqrt{2} + 66} + 3462064407728593 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 105 \, {\left(x^{2} - 1\right)} \sqrt{4 \, \sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} - 402\right)} + \frac{67}{4} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - \frac{6901}{8} \, \sqrt{2} - \frac{33899}{4}} - 103 \, \sqrt{2} - 134} \log\left(\frac{1}{4} \, {\left(3 \, {\left(3123031798 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 160836137597 \, \sqrt{2} + 228142139595\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - {\left(4684547697 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} - 5021835131184 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 258624509255976 \, \sqrt{2} - 369498919235591\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} + 56697027387 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + 8 \, {\left(3 \, {\left(1561515899 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)} + 18899009129 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} - 56697027387 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)} - 2646358766831 \, \sqrt{2}\right)} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} - 402\right)} + \frac{67}{4} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - \frac{6901}{8} \, \sqrt{2} - \frac{33899}{4}} - 66071930892526 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 3402704440965089 \, \sqrt{2} - 4761501573839354\right)} \sqrt{4 \, \sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} - 402\right)} + \frac{67}{4} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - \frac{6901}{8} \, \sqrt{2} - \frac{33899}{4}} - 103 \, \sqrt{2} - 134} + 9925267848380161 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 105 \, {\left(x^{2} - 1\right)} \sqrt{4 \, \sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} - 402\right)} + \frac{67}{4} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - \frac{6901}{8} \, \sqrt{2} - \frac{33899}{4}} - 103 \, \sqrt{2} - 134} \log\left(-\frac{1}{4} \, {\left(3 \, {\left(3123031798 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 160836137597 \, \sqrt{2} + 228142139595\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - {\left(4684547697 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} - 5021835131184 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 258624509255976 \, \sqrt{2} - 369498919235591\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} + 56697027387 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + 8 \, {\left(3 \, {\left(1561515899 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)} + 18899009129 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} - 56697027387 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)} - 2646358766831 \, \sqrt{2}\right)} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} - 402\right)} + \frac{67}{4} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - \frac{6901}{8} \, \sqrt{2} - \frac{33899}{4}} - 66071930892526 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 3402704440965089 \, \sqrt{2} - 4761501573839354\right)} \sqrt{4 \, \sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} - 402\right)} + \frac{67}{4} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - \frac{6901}{8} \, \sqrt{2} - \frac{33899}{4}} - 103 \, \sqrt{2} - 134} + 9925267848380161 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 210 \, {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} - 402\right)} + \frac{67}{4} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - \frac{6901}{8} \, \sqrt{2} - \frac{33899}{4}} - \frac{103}{4} \, \sqrt{2} - \frac{67}{2}} \log\left(\frac{1}{2} \, {\left(3 \, {\left(3123031798 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 160836137597 \, \sqrt{2} + 228142139595\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - {\left(4684547697 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} - 5021835131184 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 258624509255976 \, \sqrt{2} - 369498919235591\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} + 56697027387 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} - 8 \, {\left(3 \, {\left(1561515899 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)} + 18899009129 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} - 56697027387 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)} - 2646358766831 \, \sqrt{2}\right)} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} - 402\right)} + \frac{67}{4} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - \frac{6901}{8} \, \sqrt{2} - \frac{33899}{4}} - 66071930892526 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 3402704440965089 \, \sqrt{2} - 4761501573839354\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} - 402\right)} + \frac{67}{4} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - \frac{6901}{8} \, \sqrt{2} - \frac{33899}{4}} - \frac{103}{4} \, \sqrt{2} - \frac{67}{2}} + 9925267848380161 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 210 \, {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} - 402\right)} + \frac{67}{4} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - \frac{6901}{8} \, \sqrt{2} - \frac{33899}{4}} - \frac{103}{4} \, \sqrt{2} - \frac{67}{2}} \log\left(-\frac{1}{2} \, {\left(3 \, {\left(3123031798 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 160836137597 \, \sqrt{2} + 228142139595\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - {\left(4684547697 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} - 5021835131184 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 258624509255976 \, \sqrt{2} - 369498919235591\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} + 56697027387 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} - 8 \, {\left(3 \, {\left(1561515899 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)} + 18899009129 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} - 56697027387 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)} - 2646358766831 \, \sqrt{2}\right)} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} - 402\right)} + \frac{67}{4} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - \frac{6901}{8} \, \sqrt{2} - \frac{33899}{4}} - 66071930892526 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 3402704440965089 \, \sqrt{2} - 4761501573839354\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} - 402\right)} + \frac{67}{4} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - \frac{6901}{8} \, \sqrt{2} - \frac{33899}{4}} - \frac{103}{4} \, \sqrt{2} - \frac{67}{2}} + 9925267848380161 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 105 \, {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132} \log\left(\frac{1}{4} \, {\left(5 \, {\left(2175798902 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 109877844551 \, \sqrt{2} - 154642333202\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + 5439497255 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{3} - {\left(5439497255 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} + 5744109101280 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 290077509614640 \, \sqrt{2} - 407548497250086\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} + 2872054550640 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 2810522957691440 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 141931409363417720 \, \sqrt{2} + 199739929674604072\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132} + 3462064407728593 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 105 \, {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132} \log\left(-\frac{1}{4} \, {\left(5 \, {\left(2175798902 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 109877844551 \, \sqrt{2} - 154642333202\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + 5439497255 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{3} - {\left(5439497255 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} + 5744109101280 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 290077509614640 \, \sqrt{2} - 407548497250086\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} + 2872054550640 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 2810522957691440 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 141931409363417720 \, \sqrt{2} + 199739929674604072\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132} + 3462064407728593 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 840 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{32} \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + \frac{101}{64} \, \sqrt{2} + \frac{33}{16}} \log\left(2 \, {\left(5439497255 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{3} + 2927252578990 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 2753648364560228 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 139059242410291514 \, \sqrt{2} + 196945337924312496\right)} \sqrt{-\frac{1}{32} \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + \frac{101}{64} \, \sqrt{2} + \frac{33}{16}} + 3462064407728593 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 840 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{32} \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + \frac{101}{64} \, \sqrt{2} + \frac{33}{16}} \log\left(-2 \, {\left(5439497255 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{3} + 2927252578990 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 2753648364560228 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 139059242410291514 \, \sqrt{2} + 196945337924312496\right)} \sqrt{-\frac{1}{32} \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + \frac{101}{64} \, \sqrt{2} + \frac{33}{16}} + 3462064407728593 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 105 \, {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134} \log\left(\frac{1}{2} \, {\left(3 \, {\left(3123031798 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 160836137597 \, \sqrt{2} + 228142139595\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} + 4684547697 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{3} - {\left(4684547697 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} - 5021835131184 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 258624509255976 \, \sqrt{2} - 369498919235591\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} - 2510917565592 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + 3550212579457632 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 182835947842068048 \, \sqrt{2} + 260224899268893244\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134} + 9925267848380161 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 105 \, {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134} \log\left(-\frac{1}{2} \, {\left(3 \, {\left(3123031798 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 160836137597 \, \sqrt{2} + 228142139595\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} + 4684547697 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{3} - {\left(4684547697 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} - 5021835131184 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 258624509255976 \, \sqrt{2} - 369498919235591\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} - 2510917565592 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + 3550212579457632 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 182835947842068048 \, \sqrt{2} + 260224899268893244\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134} + 9925267848380161 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 840 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{32} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + \frac{103}{64} \, \sqrt{2} - \frac{67}{32}} \log\left(4 \, {\left(4684547697 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{3} - 2567614592979 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + 3616284510350158 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 186238652283033137 \, \sqrt{2} + 262416854871597822\right)} \sqrt{-\frac{1}{32} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + \frac{103}{64} \, \sqrt{2} - \frac{67}{32}} + 9925267848380161 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 840 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{32} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + \frac{103}{64} \, \sqrt{2} - \frac{67}{32}} \log\left(-4 \, {\left(4684547697 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{3} - 2567614592979 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + 3616284510350158 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 186238652283033137 \, \sqrt{2} + 262416854871597822\right)} \sqrt{-\frac{1}{32} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + \frac{103}{64} \, \sqrt{2} - \frac{67}{32}} + 9925267848380161 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 420 \, {\left(x^{2} - 1\right)} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) - 420 \, {\left(x^{2} - 1\right)} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right) - 8 \, {\left(6 \, x^{3} + 16 \, x^{2} + 6 \, \sqrt{x^{2} + 1} {\left(x^{2} - 1\right)} + {\left(135 \, x^{3} - 8 \, x^{2} - 75 \, \sqrt{x^{2} + 1} {\left(x^{2} - 1\right)} - 345 \, x + 8\right)} \sqrt{x + \sqrt{x^{2} + 1}} - 6 \, x - 16\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{840 \, {\left(x^{2} - 1\right)}}"," ",0,"-1/840*(105*sqrt(2)*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 1/16*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) + 396) - 3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 66*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 3333*sqrt(2) + 45361) - 101/2*sqrt(2) + 66)*log(1/8*(5*(1087899451*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132) - 11039605670*sqrt(2))*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 - 55198028350*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - (5439497255*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 + 2872054550640*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132) - 28437296565606*sqrt(2))*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132) + 8*(5*(2175798902*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 109877844551*sqrt(2) - 154642333202)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132) + 110396056700*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 5575000863350*sqrt(2) - 6578877339006)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 1/16*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) + 396) - 3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 66*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 3333*sqrt(2) + 45361) - 28437296565606*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132) + 402764487053168*sqrt(2))*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 1/16*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) + 396) - 3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 66*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 3333*sqrt(2) + 45361) - 101/2*sqrt(2) + 66) + 3462064407728593*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 105*sqrt(2)*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 1/16*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) + 396) - 3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 66*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 3333*sqrt(2) + 45361) - 101/2*sqrt(2) + 66)*log(-1/8*(5*(1087899451*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132) - 11039605670*sqrt(2))*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 - 55198028350*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - (5439497255*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 + 2872054550640*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132) - 28437296565606*sqrt(2))*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132) + 8*(5*(2175798902*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 109877844551*sqrt(2) - 154642333202)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132) + 110396056700*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 5575000863350*sqrt(2) - 6578877339006)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 1/16*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) + 396) - 3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 66*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 3333*sqrt(2) + 45361) - 28437296565606*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132) + 402764487053168*sqrt(2))*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 1/16*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) + 396) - 3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 66*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 3333*sqrt(2) + 45361) - 101/2*sqrt(2) + 66) + 3462064407728593*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 105*sqrt(2)*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 1/16*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) + 396) - 3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 66*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 3333*sqrt(2) + 45361) - 101/2*sqrt(2) + 66)*log(1/8*(5*(1087899451*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132) - 11039605670*sqrt(2))*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 - 55198028350*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - (5439497255*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 + 2872054550640*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132) - 28437296565606*sqrt(2))*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132) - 8*(5*(2175798902*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 109877844551*sqrt(2) - 154642333202)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132) + 110396056700*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 5575000863350*sqrt(2) - 6578877339006)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 1/16*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) + 396) - 3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 66*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 3333*sqrt(2) + 45361) - 28437296565606*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132) + 402764487053168*sqrt(2))*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 1/16*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) + 396) - 3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 66*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 3333*sqrt(2) + 45361) - 101/2*sqrt(2) + 66) + 3462064407728593*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 105*sqrt(2)*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 1/16*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) + 396) - 3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 66*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 3333*sqrt(2) + 45361) - 101/2*sqrt(2) + 66)*log(-1/8*(5*(1087899451*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132) - 11039605670*sqrt(2))*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 - 55198028350*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - (5439497255*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 + 2872054550640*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132) - 28437296565606*sqrt(2))*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132) - 8*(5*(2175798902*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 109877844551*sqrt(2) - 154642333202)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132) + 110396056700*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 5575000863350*sqrt(2) - 6578877339006)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 1/16*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) + 396) - 3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 66*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 3333*sqrt(2) + 45361) - 28437296565606*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132) + 402764487053168*sqrt(2))*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 1/16*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) + 396) - 3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 66*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 3333*sqrt(2) + 45361) - 101/2*sqrt(2) + 66) + 3462064407728593*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 105*(x^2 - 1)*sqrt(4*sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - 3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 1/64*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) - 402) + 67/4*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 6901/8*sqrt(2) - 33899/4) - 103*sqrt(2) - 134)*log(1/4*(3*(3123031798*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 160836137597*sqrt(2) + 228142139595)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - (4684547697*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 - 5021835131184*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 258624509255976*sqrt(2) - 369498919235591)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134) + 56697027387*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 8*(3*(1561515899*sqrt(2)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134) + 18899009129*sqrt(2))*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134) - 56697027387*sqrt(2)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134) - 2646358766831*sqrt(2))*sqrt(-3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - 3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 1/64*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) - 402) + 67/4*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 6901/8*sqrt(2) - 33899/4) - 66071930892526*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 3402704440965089*sqrt(2) - 4761501573839354)*sqrt(4*sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - 3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 1/64*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) - 402) + 67/4*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 6901/8*sqrt(2) - 33899/4) - 103*sqrt(2) - 134) + 9925267848380161*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 105*(x^2 - 1)*sqrt(4*sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - 3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 1/64*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) - 402) + 67/4*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 6901/8*sqrt(2) - 33899/4) - 103*sqrt(2) - 134)*log(-1/4*(3*(3123031798*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 160836137597*sqrt(2) + 228142139595)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - (4684547697*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 - 5021835131184*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 258624509255976*sqrt(2) - 369498919235591)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134) + 56697027387*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 8*(3*(1561515899*sqrt(2)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134) + 18899009129*sqrt(2))*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134) - 56697027387*sqrt(2)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134) - 2646358766831*sqrt(2))*sqrt(-3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - 3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 1/64*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) - 402) + 67/4*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 6901/8*sqrt(2) - 33899/4) - 66071930892526*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 3402704440965089*sqrt(2) - 4761501573839354)*sqrt(4*sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - 3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 1/64*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) - 402) + 67/4*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 6901/8*sqrt(2) - 33899/4) - 103*sqrt(2) - 134) + 9925267848380161*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 210*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - 3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 1/64*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) - 402) + 67/4*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 6901/8*sqrt(2) - 33899/4) - 103/4*sqrt(2) - 67/2)*log(1/2*(3*(3123031798*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 160836137597*sqrt(2) + 228142139595)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - (4684547697*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 - 5021835131184*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 258624509255976*sqrt(2) - 369498919235591)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134) + 56697027387*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 - 8*(3*(1561515899*sqrt(2)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134) + 18899009129*sqrt(2))*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134) - 56697027387*sqrt(2)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134) - 2646358766831*sqrt(2))*sqrt(-3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - 3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 1/64*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) - 402) + 67/4*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 6901/8*sqrt(2) - 33899/4) - 66071930892526*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 3402704440965089*sqrt(2) - 4761501573839354)*sqrt(-sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - 3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 1/64*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) - 402) + 67/4*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 6901/8*sqrt(2) - 33899/4) - 103/4*sqrt(2) - 67/2) + 9925267848380161*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 210*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - 3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 1/64*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) - 402) + 67/4*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 6901/8*sqrt(2) - 33899/4) - 103/4*sqrt(2) - 67/2)*log(-1/2*(3*(3123031798*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 160836137597*sqrt(2) + 228142139595)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - (4684547697*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 - 5021835131184*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 258624509255976*sqrt(2) - 369498919235591)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134) + 56697027387*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 - 8*(3*(1561515899*sqrt(2)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134) + 18899009129*sqrt(2))*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134) - 56697027387*sqrt(2)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134) - 2646358766831*sqrt(2))*sqrt(-3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - 3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 1/64*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) - 402) + 67/4*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 6901/8*sqrt(2) - 33899/4) - 66071930892526*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 3402704440965089*sqrt(2) - 4761501573839354)*sqrt(-sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - 3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 1/64*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) - 402) + 67/4*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 6901/8*sqrt(2) - 33899/4) - 103/4*sqrt(2) - 67/2) + 9925267848380161*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 105*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*log(1/4*(5*(2175798902*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 109877844551*sqrt(2) - 154642333202)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 5439497255*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^3 - (5439497255*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 + 5744109101280*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 290077509614640*sqrt(2) - 407548497250086)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132) + 2872054550640*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 2810522957691440*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 141931409363417720*sqrt(2) + 199739929674604072)*sqrt(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132) + 3462064407728593*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 105*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*log(-1/4*(5*(2175798902*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 109877844551*sqrt(2) - 154642333202)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 5439497255*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^3 - (5439497255*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 + 5744109101280*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 290077509614640*sqrt(2) - 407548497250086)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132) + 2872054550640*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 2810522957691440*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 141931409363417720*sqrt(2) + 199739929674604072)*sqrt(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132) + 3462064407728593*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 840*(x^2 - 1)*sqrt(-1/32*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101/64*sqrt(2) + 33/16)*log(2*(5439497255*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^3 + 2927252578990*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 2753648364560228*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 139059242410291514*sqrt(2) + 196945337924312496)*sqrt(-1/32*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101/64*sqrt(2) + 33/16) + 3462064407728593*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 840*(x^2 - 1)*sqrt(-1/32*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101/64*sqrt(2) + 33/16)*log(-2*(5439497255*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^3 + 2927252578990*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 2753648364560228*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 139059242410291514*sqrt(2) + 196945337924312496)*sqrt(-1/32*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101/64*sqrt(2) + 33/16) + 3462064407728593*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 105*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*log(1/2*(3*(3123031798*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 160836137597*sqrt(2) + 228142139595)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 + 4684547697*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^3 - (4684547697*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 - 5021835131184*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 258624509255976*sqrt(2) - 369498919235591)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134) - 2510917565592*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 3550212579457632*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 182835947842068048*sqrt(2) + 260224899268893244)*sqrt(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134) + 9925267848380161*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 105*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*log(-1/2*(3*(3123031798*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 160836137597*sqrt(2) + 228142139595)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 + 4684547697*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^3 - (4684547697*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 - 5021835131184*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 258624509255976*sqrt(2) - 369498919235591)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134) - 2510917565592*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 3550212579457632*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 182835947842068048*sqrt(2) + 260224899268893244)*sqrt(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134) + 9925267848380161*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 840*(x^2 - 1)*sqrt(-1/32*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103/64*sqrt(2) - 67/32)*log(4*(4684547697*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^3 - 2567614592979*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 3616284510350158*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 186238652283033137*sqrt(2) + 262416854871597822)*sqrt(-1/32*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103/64*sqrt(2) - 67/32) + 9925267848380161*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 840*(x^2 - 1)*sqrt(-1/32*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103/64*sqrt(2) - 67/32)*log(-4*(4684547697*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^3 - 2567614592979*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 3616284510350158*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 186238652283033137*sqrt(2) + 262416854871597822)*sqrt(-1/32*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103/64*sqrt(2) - 67/32) + 9925267848380161*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 420*(x^2 - 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) - 420*(x^2 - 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1) - 8*(6*x^3 + 16*x^2 + 6*sqrt(x^2 + 1)*(x^2 - 1) + (135*x^3 - 8*x^2 - 75*sqrt(x^2 + 1)*(x^2 - 1) - 345*x + 8)*sqrt(x + sqrt(x^2 + 1)) - 6*x - 16)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 - 1)","B",0
3114,1,7099,0,2.051740," ","integrate((x^2+1)^2*(x+(x^2+1)^(1/2))^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2,x, algorithm=""fricas"")","-\frac{105 \, \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} + 396\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 66 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 3333 \, \sqrt{2} + 45361} - \frac{101}{2} \, \sqrt{2} + 66} \log\left(\frac{1}{8} \, {\left(5 \, {\left(1087899451 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)} - 11039605670 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} - 55198028350 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - {\left(5439497255 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} + 2872054550640 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)} - 28437296565606 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} + 8 \, {\left(5 \, {\left(2175798902 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 109877844551 \, \sqrt{2} - 154642333202\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} + 110396056700 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 5575000863350 \, \sqrt{2} - 6578877339006\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} + 396\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 66 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 3333 \, \sqrt{2} + 45361} - 28437296565606 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)} + 402764487053168 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} + 396\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 66 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 3333 \, \sqrt{2} + 45361} - \frac{101}{2} \, \sqrt{2} + 66} + 3462064407728593 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 105 \, \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} + 396\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 66 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 3333 \, \sqrt{2} + 45361} - \frac{101}{2} \, \sqrt{2} + 66} \log\left(-\frac{1}{8} \, {\left(5 \, {\left(1087899451 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)} - 11039605670 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} - 55198028350 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - {\left(5439497255 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} + 2872054550640 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)} - 28437296565606 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} + 8 \, {\left(5 \, {\left(2175798902 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 109877844551 \, \sqrt{2} - 154642333202\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} + 110396056700 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 5575000863350 \, \sqrt{2} - 6578877339006\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} + 396\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 66 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 3333 \, \sqrt{2} + 45361} - 28437296565606 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)} + 402764487053168 \, \sqrt{2}\right)} \sqrt{\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} + 396\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 66 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 3333 \, \sqrt{2} + 45361} - \frac{101}{2} \, \sqrt{2} + 66} + 3462064407728593 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 105 \, \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} + 396\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 66 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 3333 \, \sqrt{2} + 45361} - \frac{101}{2} \, \sqrt{2} + 66} \log\left(\frac{1}{8} \, {\left(5 \, {\left(1087899451 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)} - 11039605670 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} - 55198028350 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - {\left(5439497255 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} + 2872054550640 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)} - 28437296565606 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} - 8 \, {\left(5 \, {\left(2175798902 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 109877844551 \, \sqrt{2} - 154642333202\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} + 110396056700 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 5575000863350 \, \sqrt{2} - 6578877339006\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} + 396\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 66 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 3333 \, \sqrt{2} + 45361} - 28437296565606 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)} + 402764487053168 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} + 396\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 66 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 3333 \, \sqrt{2} + 45361} - \frac{101}{2} \, \sqrt{2} + 66} + 3462064407728593 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 105 \, \sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} + 396\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 66 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 3333 \, \sqrt{2} + 45361} - \frac{101}{2} \, \sqrt{2} + 66} \log\left(-\frac{1}{8} \, {\left(5 \, {\left(1087899451 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)} - 11039605670 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} - 55198028350 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - {\left(5439497255 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} + 2872054550640 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)} - 28437296565606 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} - 8 \, {\left(5 \, {\left(2175798902 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 109877844551 \, \sqrt{2} - 154642333202\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} + 110396056700 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 5575000863350 \, \sqrt{2} - 6578877339006\right)} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} + 396\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 66 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 3333 \, \sqrt{2} + 45361} - 28437296565606 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)} + 402764487053168 \, \sqrt{2}\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} + 396\right)} - \frac{3}{32} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 66 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 3333 \, \sqrt{2} + 45361} - \frac{101}{2} \, \sqrt{2} + 66} + 3462064407728593 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 105 \, {\left(x^{2} - 1\right)} \sqrt{4 \, \sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} - 402\right)} + \frac{67}{4} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - \frac{6901}{8} \, \sqrt{2} - \frac{33899}{4}} - 103 \, \sqrt{2} - 134} \log\left(\frac{1}{4} \, {\left(3 \, {\left(3123031798 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 160836137597 \, \sqrt{2} + 228142139595\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - {\left(4684547697 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} - 5021835131184 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 258624509255976 \, \sqrt{2} - 369498919235591\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} + 56697027387 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + 8 \, {\left(3 \, {\left(1561515899 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)} + 18899009129 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} - 56697027387 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)} - 2646358766831 \, \sqrt{2}\right)} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} - 402\right)} + \frac{67}{4} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - \frac{6901}{8} \, \sqrt{2} - \frac{33899}{4}} - 66071930892526 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 3402704440965089 \, \sqrt{2} - 4761501573839354\right)} \sqrt{4 \, \sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} - 402\right)} + \frac{67}{4} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - \frac{6901}{8} \, \sqrt{2} - \frac{33899}{4}} - 103 \, \sqrt{2} - 134} + 9925267848380161 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 105 \, {\left(x^{2} - 1\right)} \sqrt{4 \, \sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} - 402\right)} + \frac{67}{4} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - \frac{6901}{8} \, \sqrt{2} - \frac{33899}{4}} - 103 \, \sqrt{2} - 134} \log\left(-\frac{1}{4} \, {\left(3 \, {\left(3123031798 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 160836137597 \, \sqrt{2} + 228142139595\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - {\left(4684547697 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} - 5021835131184 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 258624509255976 \, \sqrt{2} - 369498919235591\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} + 56697027387 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + 8 \, {\left(3 \, {\left(1561515899 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)} + 18899009129 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} - 56697027387 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)} - 2646358766831 \, \sqrt{2}\right)} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} - 402\right)} + \frac{67}{4} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - \frac{6901}{8} \, \sqrt{2} - \frac{33899}{4}} - 66071930892526 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 3402704440965089 \, \sqrt{2} - 4761501573839354\right)} \sqrt{4 \, \sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} - 402\right)} + \frac{67}{4} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - \frac{6901}{8} \, \sqrt{2} - \frac{33899}{4}} - 103 \, \sqrt{2} - 134} + 9925267848380161 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 210 \, {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} - 402\right)} + \frac{67}{4} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - \frac{6901}{8} \, \sqrt{2} - \frac{33899}{4}} - \frac{103}{4} \, \sqrt{2} - \frac{67}{2}} \log\left(\frac{1}{2} \, {\left(3 \, {\left(3123031798 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 160836137597 \, \sqrt{2} + 228142139595\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - {\left(4684547697 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} - 5021835131184 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 258624509255976 \, \sqrt{2} - 369498919235591\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} + 56697027387 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} - 8 \, {\left(3 \, {\left(1561515899 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)} + 18899009129 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} - 56697027387 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)} - 2646358766831 \, \sqrt{2}\right)} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} - 402\right)} + \frac{67}{4} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - \frac{6901}{8} \, \sqrt{2} - \frac{33899}{4}} - 66071930892526 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 3402704440965089 \, \sqrt{2} - 4761501573839354\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} - 402\right)} + \frac{67}{4} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - \frac{6901}{8} \, \sqrt{2} - \frac{33899}{4}} - \frac{103}{4} \, \sqrt{2} - \frac{67}{2}} + 9925267848380161 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 210 \, {\left(x^{2} - 1\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} - 402\right)} + \frac{67}{4} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - \frac{6901}{8} \, \sqrt{2} - \frac{33899}{4}} - \frac{103}{4} \, \sqrt{2} - \frac{67}{2}} \log\left(-\frac{1}{2} \, {\left(3 \, {\left(3123031798 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 160836137597 \, \sqrt{2} + 228142139595\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - {\left(4684547697 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} - 5021835131184 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 258624509255976 \, \sqrt{2} - 369498919235591\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} + 56697027387 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} - 8 \, {\left(3 \, {\left(1561515899 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)} + 18899009129 \, \sqrt{2}\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} - 56697027387 \, \sqrt{2} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)} - 2646358766831 \, \sqrt{2}\right)} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} - 402\right)} + \frac{67}{4} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - \frac{6901}{8} \, \sqrt{2} - \frac{33899}{4}} - 66071930892526 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 3402704440965089 \, \sqrt{2} - 4761501573839354\right)} \sqrt{-\sqrt{2} \sqrt{-\frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} - \frac{3}{128} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + \frac{1}{64} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} - 402\right)} + \frac{67}{4} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - \frac{6901}{8} \, \sqrt{2} - \frac{33899}{4}} - \frac{103}{4} \, \sqrt{2} - \frac{67}{2}} + 9925267848380161 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 105 \, {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132} \log\left(\frac{1}{4} \, {\left(5 \, {\left(2175798902 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 109877844551 \, \sqrt{2} - 154642333202\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + 5439497255 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{3} - {\left(5439497255 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} + 5744109101280 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 290077509614640 \, \sqrt{2} - 407548497250086\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} + 2872054550640 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 2810522957691440 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 141931409363417720 \, \sqrt{2} + 199739929674604072\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132} + 3462064407728593 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 105 \, {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132} \log\left(-\frac{1}{4} \, {\left(5 \, {\left(2175798902 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 109877844551 \, \sqrt{2} - 154642333202\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)}^{2} + 5439497255 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{3} - {\left(5439497255 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} + 5744109101280 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 290077509614640 \, \sqrt{2} - 407548497250086\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132\right)} + 2872054550640 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 2810522957691440 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 141931409363417720 \, \sqrt{2} + 199739929674604072\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 101 \, \sqrt{2} + 132} + 3462064407728593 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 840 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{32} \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + \frac{101}{64} \, \sqrt{2} + \frac{33}{16}} \log\left(2 \, {\left(5439497255 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{3} + 2927252578990 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 2753648364560228 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 139059242410291514 \, \sqrt{2} + 196945337924312496\right)} \sqrt{-\frac{1}{32} \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + \frac{101}{64} \, \sqrt{2} + \frac{33}{16}} + 3462064407728593 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 840 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{32} \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + \frac{101}{64} \, \sqrt{2} + \frac{33}{16}} \log\left(-2 \, {\left(5439497255 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{3} + 2927252578990 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} - 101 \, \sqrt{2} - 132\right)}^{2} - 2753648364560228 \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + 139059242410291514 \, \sqrt{2} + 196945337924312496\right)} \sqrt{-\frac{1}{32} \, \sqrt{\frac{1}{2}} \sqrt{56941 \, \sqrt{2} + 80521} + \frac{101}{64} \, \sqrt{2} + \frac{33}{16}} + 3462064407728593 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 105 \, {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134} \log\left(\frac{1}{2} \, {\left(3 \, {\left(3123031798 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 160836137597 \, \sqrt{2} + 228142139595\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} + 4684547697 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{3} - {\left(4684547697 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} - 5021835131184 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 258624509255976 \, \sqrt{2} - 369498919235591\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} - 2510917565592 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + 3550212579457632 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 182835947842068048 \, \sqrt{2} + 260224899268893244\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134} + 9925267848380161 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 105 \, {\left(x^{2} - 1\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134} \log\left(-\frac{1}{2} \, {\left(3 \, {\left(3123031798 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 160836137597 \, \sqrt{2} + 228142139595\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)}^{2} + 4684547697 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{3} - {\left(4684547697 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} - 5021835131184 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 258624509255976 \, \sqrt{2} - 369498919235591\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134\right)} - 2510917565592 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + 3550212579457632 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 182835947842068048 \, \sqrt{2} + 260224899268893244\right)} \sqrt{2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + 103 \, \sqrt{2} - 134} + 9925267848380161 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 840 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{32} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + \frac{103}{64} \, \sqrt{2} - \frac{67}{32}} \log\left(4 \, {\left(4684547697 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{3} - 2567614592979 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + 3616284510350158 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 186238652283033137 \, \sqrt{2} + 262416854871597822\right)} \sqrt{-\frac{1}{32} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + \frac{103}{64} \, \sqrt{2} - \frac{67}{32}} + 9925267848380161 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) - 840 \, {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{32} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + \frac{103}{64} \, \sqrt{2} - \frac{67}{32}} \log\left(-4 \, {\left(4684547697 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{3} - 2567614592979 \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 103 \, \sqrt{2} + 134\right)}^{2} + 3616284510350158 \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} - 186238652283033137 \, \sqrt{2} + 262416854871597822\right)} \sqrt{-\frac{1}{32} \, \sqrt{\frac{1}{2}} \sqrt{55445 \, \sqrt{2} - 78407} + \frac{103}{64} \, \sqrt{2} - \frac{67}{32}} + 9925267848380161 \, \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\right) + 420 \, {\left(x^{2} - 1\right)} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} + 1\right) - 420 \, {\left(x^{2} - 1\right)} \log\left(\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1} - 1\right) - 8 \, {\left(6 \, x^{3} + 16 \, x^{2} + 6 \, \sqrt{x^{2} + 1} {\left(x^{2} - 1\right)} + {\left(135 \, x^{3} - 8 \, x^{2} - 75 \, \sqrt{x^{2} + 1} {\left(x^{2} - 1\right)} - 345 \, x + 8\right)} \sqrt{x + \sqrt{x^{2} + 1}} - 6 \, x - 16\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{840 \, {\left(x^{2} - 1\right)}}"," ",0,"-1/840*(105*sqrt(2)*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 1/16*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) + 396) - 3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 66*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 3333*sqrt(2) + 45361) - 101/2*sqrt(2) + 66)*log(1/8*(5*(1087899451*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132) - 11039605670*sqrt(2))*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 - 55198028350*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - (5439497255*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 + 2872054550640*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132) - 28437296565606*sqrt(2))*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132) + 8*(5*(2175798902*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 109877844551*sqrt(2) - 154642333202)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132) + 110396056700*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 5575000863350*sqrt(2) - 6578877339006)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 1/16*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) + 396) - 3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 66*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 3333*sqrt(2) + 45361) - 28437296565606*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132) + 402764487053168*sqrt(2))*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 1/16*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) + 396) - 3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 66*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 3333*sqrt(2) + 45361) - 101/2*sqrt(2) + 66) + 3462064407728593*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 105*sqrt(2)*(x^2 - 1)*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 1/16*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) + 396) - 3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 66*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 3333*sqrt(2) + 45361) - 101/2*sqrt(2) + 66)*log(-1/8*(5*(1087899451*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132) - 11039605670*sqrt(2))*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 - 55198028350*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - (5439497255*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 + 2872054550640*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132) - 28437296565606*sqrt(2))*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132) + 8*(5*(2175798902*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 109877844551*sqrt(2) - 154642333202)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132) + 110396056700*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 5575000863350*sqrt(2) - 6578877339006)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 1/16*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) + 396) - 3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 66*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 3333*sqrt(2) + 45361) - 28437296565606*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132) + 402764487053168*sqrt(2))*sqrt(sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 1/16*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) + 396) - 3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 66*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 3333*sqrt(2) + 45361) - 101/2*sqrt(2) + 66) + 3462064407728593*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 105*sqrt(2)*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 1/16*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) + 396) - 3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 66*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 3333*sqrt(2) + 45361) - 101/2*sqrt(2) + 66)*log(1/8*(5*(1087899451*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132) - 11039605670*sqrt(2))*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 - 55198028350*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - (5439497255*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 + 2872054550640*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132) - 28437296565606*sqrt(2))*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132) - 8*(5*(2175798902*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 109877844551*sqrt(2) - 154642333202)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132) + 110396056700*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 5575000863350*sqrt(2) - 6578877339006)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 1/16*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) + 396) - 3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 66*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 3333*sqrt(2) + 45361) - 28437296565606*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132) + 402764487053168*sqrt(2))*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 1/16*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) + 396) - 3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 66*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 3333*sqrt(2) + 45361) - 101/2*sqrt(2) + 66) + 3462064407728593*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 105*sqrt(2)*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 1/16*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) + 396) - 3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 66*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 3333*sqrt(2) + 45361) - 101/2*sqrt(2) + 66)*log(-1/8*(5*(1087899451*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132) - 11039605670*sqrt(2))*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 - 55198028350*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - (5439497255*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 + 2872054550640*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132) - 28437296565606*sqrt(2))*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132) - 8*(5*(2175798902*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 109877844551*sqrt(2) - 154642333202)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132) + 110396056700*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 5575000863350*sqrt(2) - 6578877339006)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 1/16*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) + 396) - 3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 66*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 3333*sqrt(2) + 45361) - 28437296565606*sqrt(2)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132) + 402764487053168*sqrt(2))*sqrt(-sqrt(2)*sqrt(-3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 1/16*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) + 396) - 3/32*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 66*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 3333*sqrt(2) + 45361) - 101/2*sqrt(2) + 66) + 3462064407728593*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 105*(x^2 - 1)*sqrt(4*sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - 3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 1/64*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) - 402) + 67/4*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 6901/8*sqrt(2) - 33899/4) - 103*sqrt(2) - 134)*log(1/4*(3*(3123031798*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 160836137597*sqrt(2) + 228142139595)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - (4684547697*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 - 5021835131184*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 258624509255976*sqrt(2) - 369498919235591)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134) + 56697027387*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 8*(3*(1561515899*sqrt(2)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134) + 18899009129*sqrt(2))*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134) - 56697027387*sqrt(2)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134) - 2646358766831*sqrt(2))*sqrt(-3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - 3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 1/64*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) - 402) + 67/4*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 6901/8*sqrt(2) - 33899/4) - 66071930892526*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 3402704440965089*sqrt(2) - 4761501573839354)*sqrt(4*sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - 3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 1/64*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) - 402) + 67/4*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 6901/8*sqrt(2) - 33899/4) - 103*sqrt(2) - 134) + 9925267848380161*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 105*(x^2 - 1)*sqrt(4*sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - 3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 1/64*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) - 402) + 67/4*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 6901/8*sqrt(2) - 33899/4) - 103*sqrt(2) - 134)*log(-1/4*(3*(3123031798*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 160836137597*sqrt(2) + 228142139595)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - (4684547697*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 - 5021835131184*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 258624509255976*sqrt(2) - 369498919235591)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134) + 56697027387*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 8*(3*(1561515899*sqrt(2)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134) + 18899009129*sqrt(2))*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134) - 56697027387*sqrt(2)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134) - 2646358766831*sqrt(2))*sqrt(-3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - 3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 1/64*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) - 402) + 67/4*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 6901/8*sqrt(2) - 33899/4) - 66071930892526*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 3402704440965089*sqrt(2) - 4761501573839354)*sqrt(4*sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - 3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 1/64*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) - 402) + 67/4*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 6901/8*sqrt(2) - 33899/4) - 103*sqrt(2) - 134) + 9925267848380161*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 210*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - 3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 1/64*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) - 402) + 67/4*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 6901/8*sqrt(2) - 33899/4) - 103/4*sqrt(2) - 67/2)*log(1/2*(3*(3123031798*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 160836137597*sqrt(2) + 228142139595)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - (4684547697*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 - 5021835131184*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 258624509255976*sqrt(2) - 369498919235591)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134) + 56697027387*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 - 8*(3*(1561515899*sqrt(2)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134) + 18899009129*sqrt(2))*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134) - 56697027387*sqrt(2)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134) - 2646358766831*sqrt(2))*sqrt(-3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - 3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 1/64*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) - 402) + 67/4*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 6901/8*sqrt(2) - 33899/4) - 66071930892526*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 3402704440965089*sqrt(2) - 4761501573839354)*sqrt(-sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - 3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 1/64*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) - 402) + 67/4*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 6901/8*sqrt(2) - 33899/4) - 103/4*sqrt(2) - 67/2) + 9925267848380161*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 210*(x^2 - 1)*sqrt(-sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - 3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 1/64*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) - 402) + 67/4*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 6901/8*sqrt(2) - 33899/4) - 103/4*sqrt(2) - 67/2)*log(-1/2*(3*(3123031798*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 160836137597*sqrt(2) + 228142139595)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - (4684547697*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 - 5021835131184*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 258624509255976*sqrt(2) - 369498919235591)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134) + 56697027387*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 - 8*(3*(1561515899*sqrt(2)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134) + 18899009129*sqrt(2))*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134) - 56697027387*sqrt(2)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134) - 2646358766831*sqrt(2))*sqrt(-3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - 3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 1/64*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) - 402) + 67/4*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 6901/8*sqrt(2) - 33899/4) - 66071930892526*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 3402704440965089*sqrt(2) - 4761501573839354)*sqrt(-sqrt(2)*sqrt(-3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 - 3/128*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 1/64*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) - 402) + 67/4*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 6901/8*sqrt(2) - 33899/4) - 103/4*sqrt(2) - 67/2) + 9925267848380161*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 105*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*log(1/4*(5*(2175798902*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 109877844551*sqrt(2) - 154642333202)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 5439497255*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^3 - (5439497255*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 + 5744109101280*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 290077509614640*sqrt(2) - 407548497250086)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132) + 2872054550640*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 2810522957691440*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 141931409363417720*sqrt(2) + 199739929674604072)*sqrt(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132) + 3462064407728593*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 105*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)*log(-1/4*(5*(2175798902*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 109877844551*sqrt(2) - 154642333202)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132)^2 + 5439497255*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^3 - (5439497255*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 + 5744109101280*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 290077509614640*sqrt(2) - 407548497250086)*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132) + 2872054550640*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 2810522957691440*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 141931409363417720*sqrt(2) + 199739929674604072)*sqrt(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101*sqrt(2) + 132) + 3462064407728593*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 840*(x^2 - 1)*sqrt(-1/32*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101/64*sqrt(2) + 33/16)*log(2*(5439497255*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^3 + 2927252578990*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 2753648364560228*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 139059242410291514*sqrt(2) + 196945337924312496)*sqrt(-1/32*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101/64*sqrt(2) + 33/16) + 3462064407728593*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 840*(x^2 - 1)*sqrt(-1/32*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101/64*sqrt(2) + 33/16)*log(-2*(5439497255*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^3 + 2927252578990*(2*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) - 101*sqrt(2) - 132)^2 - 2753648364560228*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 139059242410291514*sqrt(2) + 196945337924312496)*sqrt(-1/32*sqrt(1/2)*sqrt(56941*sqrt(2) + 80521) + 101/64*sqrt(2) + 33/16) + 3462064407728593*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 105*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*log(1/2*(3*(3123031798*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 160836137597*sqrt(2) + 228142139595)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 + 4684547697*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^3 - (4684547697*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 - 5021835131184*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 258624509255976*sqrt(2) - 369498919235591)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134) - 2510917565592*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 3550212579457632*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 182835947842068048*sqrt(2) + 260224899268893244)*sqrt(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134) + 9925267848380161*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 105*(x^2 - 1)*sqrt(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)*log(-1/2*(3*(3123031798*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 160836137597*sqrt(2) + 228142139595)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134)^2 + 4684547697*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^3 - (4684547697*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 - 5021835131184*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 258624509255976*sqrt(2) - 369498919235591)*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134) - 2510917565592*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 3550212579457632*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 182835947842068048*sqrt(2) + 260224899268893244)*sqrt(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103*sqrt(2) - 134) + 9925267848380161*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 840*(x^2 - 1)*sqrt(-1/32*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103/64*sqrt(2) - 67/32)*log(4*(4684547697*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^3 - 2567614592979*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 3616284510350158*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 186238652283033137*sqrt(2) + 262416854871597822)*sqrt(-1/32*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103/64*sqrt(2) - 67/32) + 9925267848380161*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) - 840*(x^2 - 1)*sqrt(-1/32*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103/64*sqrt(2) - 67/32)*log(-4*(4684547697*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^3 - 2567614592979*(2*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 103*sqrt(2) + 134)^2 + 3616284510350158*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) - 186238652283033137*sqrt(2) + 262416854871597822)*sqrt(-1/32*sqrt(1/2)*sqrt(55445*sqrt(2) - 78407) + 103/64*sqrt(2) - 67/32) + 9925267848380161*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)) + 420*(x^2 - 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) + 1) - 420*(x^2 - 1)*log(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1) - 1) - 8*(6*x^3 + 16*x^2 + 6*sqrt(x^2 + 1)*(x^2 - 1) + (135*x^3 - 8*x^2 - 75*sqrt(x^2 + 1)*(x^2 - 1) - 345*x + 8)*sqrt(x + sqrt(x^2 + 1)) - 6*x - 16)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1))/(x^2 - 1)","B",0
3115,1,317,0,0.650785," ","integrate(x^2/(1+(a*x+(a^2*x^2-b)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{10395 \, {\left(77 \, b^{3} + 128 \, b^{2}\right)} \log\left(\sqrt{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} + 1} + 1\right) - 10395 \, {\left(77 \, b^{3} + 128 \, b^{2}\right)} \log\left(\sqrt{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} + 1} - 1\right) + 2 \, {\left(1182720 \, a^{3} x^{3} + 224 \, {\left(3267 \, a^{2} b - 3200 \, a^{2}\right)} x^{2} - 365904 \, b^{2} + 30 \, {\left(17787 \, a b^{2} - 16384 \, a\right)} x - 2 \, {\left(591360 \, a^{2} x^{2} + 266805 \, b^{2} + 112 \, {\left(3267 \, a b + 3200 \, a\right)} x + 295680 \, b + 245760\right)} \sqrt{a^{2} x^{2} - b} - {\left(1300992 \, a^{3} x^{3} + 1008 \, {\left(847 \, a^{2} b - 640 \, a^{2}\right)} x^{2} - 426888 \, b^{2} + {\left(800415 \, a b^{2} + 354816 \, a b - 409600 \, a\right)} x - {\left(1300992 \, a^{2} x^{2} + 800415 \, b^{2} + 1008 \, {\left(847 \, a b + 640 \, a\right)} x + 1005312 \, b + 409600\right)} \sqrt{a^{2} x^{2} - b} - 860160 \, b - 655360\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} - 2007040 \, b - 1310720\right)} \sqrt{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} + 1}}{14192640 \, a^{3}}"," ",0,"1/14192640*(10395*(77*b^3 + 128*b^2)*log(sqrt(sqrt(a*x + sqrt(a^2*x^2 - b)) + 1) + 1) - 10395*(77*b^3 + 128*b^2)*log(sqrt(sqrt(a*x + sqrt(a^2*x^2 - b)) + 1) - 1) + 2*(1182720*a^3*x^3 + 224*(3267*a^2*b - 3200*a^2)*x^2 - 365904*b^2 + 30*(17787*a*b^2 - 16384*a)*x - 2*(591360*a^2*x^2 + 266805*b^2 + 112*(3267*a*b + 3200*a)*x + 295680*b + 245760)*sqrt(a^2*x^2 - b) - (1300992*a^3*x^3 + 1008*(847*a^2*b - 640*a^2)*x^2 - 426888*b^2 + (800415*a*b^2 + 354816*a*b - 409600*a)*x - (1300992*a^2*x^2 + 800415*b^2 + 1008*(847*a*b + 640*a)*x + 1005312*b + 409600)*sqrt(a^2*x^2 - b) - 860160*b - 655360)*sqrt(a*x + sqrt(a^2*x^2 - b)) - 2007040*b - 1310720)*sqrt(sqrt(a*x + sqrt(a^2*x^2 - b)) + 1))/a^3","A",0
3116,1,3267,0,0.604083," ","integrate((x/(a*x^7-3*a*x^5+x^6+3*a*x^3-3*x^4-a*x+3*x^2-1))^(1/3),x, algorithm=""fricas"")","\left[\frac{\sqrt{3} {\left(a^{2} - 1\right)} \sqrt{\frac{{\left(-a + 1\right)}^{\frac{1}{3}}}{a - 1}} \log\left(-\frac{{\left(3 \, a - 2\right)} x - \sqrt{3} {\left({\left(a x^{3} - a x + x^{2} - 1\right)} {\left(-a + 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - 2 \, {\left({\left(a^{2} - a\right)} x^{5} + {\left(a - 1\right)} x^{4} - 2 \, {\left(a^{2} - a\right)} x^{3} - 2 \, {\left(a - 1\right)} x^{2} + {\left(a^{2} - a\right)} x + a - 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{2}{3}} - {\left(a x + 1\right)} {\left(-a + 1\right)}^{\frac{1}{3}}\right)} \sqrt{\frac{{\left(-a + 1\right)}^{\frac{1}{3}}}{a - 1}} + 3 \, {\left(a x^{3} - a x + x^{2} - 1\right)} {\left(-a + 1\right)}^{\frac{1}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + 1}{x + 1}\right) + \sqrt{3} {\left(a^{2} - 1\right)} \sqrt{-\frac{1}{{\left(a + 1\right)}^{\frac{2}{3}}}} \log\left(\frac{{\left(3 \, a + 2\right)} x + \sqrt{3} {\left({\left(a x^{3} - a x + x^{2} - 1\right)} {\left(a + 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - 2 \, {\left({\left(a^{2} + a\right)} x^{5} + {\left(a + 1\right)} x^{4} - 2 \, {\left(a^{2} + a\right)} x^{3} - 2 \, {\left(a + 1\right)} x^{2} + {\left(a^{2} + a\right)} x + a + 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{2}{3}} + {\left(a x + 1\right)} {\left(a + 1\right)}^{\frac{1}{3}}\right)} \sqrt{-\frac{1}{{\left(a + 1\right)}^{\frac{2}{3}}}} - 3 \, {\left(a x^{3} - a x + x^{2} - 1\right)} {\left(a + 1\right)}^{\frac{1}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + 1}{x - 1}\right) - {\left(a + 1\right)}^{\frac{2}{3}} {\left(a - 1\right)} \log\left({\left(x^{2} - 1\right)} {\left(a + 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + {\left({\left(a + 1\right)} x^{4} - 2 \, {\left(a + 1\right)} x^{2} + a + 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{2}{3}} + {\left(a + 1\right)}^{\frac{1}{3}}\right) + {\left(a + 1\right)} {\left(-a + 1\right)}^{\frac{2}{3}} \log\left({\left(x^{2} - 1\right)} {\left(-a + 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + {\left({\left(a - 1\right)} x^{4} - 2 \, {\left(a - 1\right)} x^{2} + a - 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{2}{3}} - {\left(-a + 1\right)}^{\frac{1}{3}}\right) + 2 \, {\left(a + 1\right)}^{\frac{2}{3}} {\left(a - 1\right)} \log\left({\left({\left(a + 1\right)} x^{2} - a - 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - {\left(a + 1\right)}^{\frac{2}{3}}\right) - 2 \, {\left(a + 1\right)} {\left(-a + 1\right)}^{\frac{2}{3}} \log\left({\left({\left(a - 1\right)} x^{2} - a + 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - {\left(-a + 1\right)}^{\frac{2}{3}}\right)}{4 \, {\left(a^{2} - 1\right)}}, \frac{2 \, \sqrt{3} {\left(a^{2} - 1\right)} \sqrt{-\frac{{\left(-a + 1\right)}^{\frac{1}{3}}}{a - 1}} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{2} - 1\right)} {\left(-a + 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - {\left(-a + 1\right)}^{\frac{1}{3}}\right)} \sqrt{-\frac{{\left(-a + 1\right)}^{\frac{1}{3}}}{a - 1}}\right) + \sqrt{3} {\left(a^{2} - 1\right)} \sqrt{-\frac{1}{{\left(a + 1\right)}^{\frac{2}{3}}}} \log\left(\frac{{\left(3 \, a + 2\right)} x + \sqrt{3} {\left({\left(a x^{3} - a x + x^{2} - 1\right)} {\left(a + 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - 2 \, {\left({\left(a^{2} + a\right)} x^{5} + {\left(a + 1\right)} x^{4} - 2 \, {\left(a^{2} + a\right)} x^{3} - 2 \, {\left(a + 1\right)} x^{2} + {\left(a^{2} + a\right)} x + a + 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{2}{3}} + {\left(a x + 1\right)} {\left(a + 1\right)}^{\frac{1}{3}}\right)} \sqrt{-\frac{1}{{\left(a + 1\right)}^{\frac{2}{3}}}} - 3 \, {\left(a x^{3} - a x + x^{2} - 1\right)} {\left(a + 1\right)}^{\frac{1}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + 1}{x - 1}\right) - {\left(a + 1\right)}^{\frac{2}{3}} {\left(a - 1\right)} \log\left({\left(x^{2} - 1\right)} {\left(a + 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + {\left({\left(a + 1\right)} x^{4} - 2 \, {\left(a + 1\right)} x^{2} + a + 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{2}{3}} + {\left(a + 1\right)}^{\frac{1}{3}}\right) + {\left(a + 1\right)} {\left(-a + 1\right)}^{\frac{2}{3}} \log\left({\left(x^{2} - 1\right)} {\left(-a + 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + {\left({\left(a - 1\right)} x^{4} - 2 \, {\left(a - 1\right)} x^{2} + a - 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{2}{3}} - {\left(-a + 1\right)}^{\frac{1}{3}}\right) + 2 \, {\left(a + 1\right)}^{\frac{2}{3}} {\left(a - 1\right)} \log\left({\left({\left(a + 1\right)} x^{2} - a - 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - {\left(a + 1\right)}^{\frac{2}{3}}\right) - 2 \, {\left(a + 1\right)} {\left(-a + 1\right)}^{\frac{2}{3}} \log\left({\left({\left(a - 1\right)} x^{2} - a + 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - {\left(-a + 1\right)}^{\frac{2}{3}}\right)}{4 \, {\left(a^{2} - 1\right)}}, \frac{\sqrt{3} {\left(a^{2} - 1\right)} \sqrt{\frac{{\left(-a + 1\right)}^{\frac{1}{3}}}{a - 1}} \log\left(-\frac{{\left(3 \, a - 2\right)} x - \sqrt{3} {\left({\left(a x^{3} - a x + x^{2} - 1\right)} {\left(-a + 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - 2 \, {\left({\left(a^{2} - a\right)} x^{5} + {\left(a - 1\right)} x^{4} - 2 \, {\left(a^{2} - a\right)} x^{3} - 2 \, {\left(a - 1\right)} x^{2} + {\left(a^{2} - a\right)} x + a - 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{2}{3}} - {\left(a x + 1\right)} {\left(-a + 1\right)}^{\frac{1}{3}}\right)} \sqrt{\frac{{\left(-a + 1\right)}^{\frac{1}{3}}}{a - 1}} + 3 \, {\left(a x^{3} - a x + x^{2} - 1\right)} {\left(-a + 1\right)}^{\frac{1}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + 1}{x + 1}\right) - {\left(a + 1\right)}^{\frac{2}{3}} {\left(a - 1\right)} \log\left({\left(x^{2} - 1\right)} {\left(a + 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + {\left({\left(a + 1\right)} x^{4} - 2 \, {\left(a + 1\right)} x^{2} + a + 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{2}{3}} + {\left(a + 1\right)}^{\frac{1}{3}}\right) + {\left(a + 1\right)} {\left(-a + 1\right)}^{\frac{2}{3}} \log\left({\left(x^{2} - 1\right)} {\left(-a + 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + {\left({\left(a - 1\right)} x^{4} - 2 \, {\left(a - 1\right)} x^{2} + a - 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{2}{3}} - {\left(-a + 1\right)}^{\frac{1}{3}}\right) + 2 \, {\left(a + 1\right)}^{\frac{2}{3}} {\left(a - 1\right)} \log\left({\left({\left(a + 1\right)} x^{2} - a - 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - {\left(a + 1\right)}^{\frac{2}{3}}\right) - 2 \, {\left(a + 1\right)} {\left(-a + 1\right)}^{\frac{2}{3}} \log\left({\left({\left(a - 1\right)} x^{2} - a + 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - {\left(-a + 1\right)}^{\frac{2}{3}}\right) - \frac{2 \, \sqrt{3} {\left(a^{2} - 1\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(x^{2} - 1\right)} {\left(a + 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + {\left(a + 1\right)}^{\frac{1}{3}}\right)}}{3 \, {\left(a + 1\right)}^{\frac{1}{3}}}\right)}{{\left(a + 1\right)}^{\frac{1}{3}}}}{4 \, {\left(a^{2} - 1\right)}}, \frac{2 \, \sqrt{3} {\left(a^{2} - 1\right)} \sqrt{-\frac{{\left(-a + 1\right)}^{\frac{1}{3}}}{a - 1}} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{2} - 1\right)} {\left(-a + 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - {\left(-a + 1\right)}^{\frac{1}{3}}\right)} \sqrt{-\frac{{\left(-a + 1\right)}^{\frac{1}{3}}}{a - 1}}\right) - {\left(a + 1\right)}^{\frac{2}{3}} {\left(a - 1\right)} \log\left({\left(x^{2} - 1\right)} {\left(a + 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + {\left({\left(a + 1\right)} x^{4} - 2 \, {\left(a + 1\right)} x^{2} + a + 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{2}{3}} + {\left(a + 1\right)}^{\frac{1}{3}}\right) + {\left(a + 1\right)} {\left(-a + 1\right)}^{\frac{2}{3}} \log\left({\left(x^{2} - 1\right)} {\left(-a + 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + {\left({\left(a - 1\right)} x^{4} - 2 \, {\left(a - 1\right)} x^{2} + a - 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{2}{3}} - {\left(-a + 1\right)}^{\frac{1}{3}}\right) + 2 \, {\left(a + 1\right)}^{\frac{2}{3}} {\left(a - 1\right)} \log\left({\left({\left(a + 1\right)} x^{2} - a - 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - {\left(a + 1\right)}^{\frac{2}{3}}\right) - 2 \, {\left(a + 1\right)} {\left(-a + 1\right)}^{\frac{2}{3}} \log\left({\left({\left(a - 1\right)} x^{2} - a + 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - {\left(-a + 1\right)}^{\frac{2}{3}}\right) - \frac{2 \, \sqrt{3} {\left(a^{2} - 1\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(x^{2} - 1\right)} {\left(a + 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + {\left(a + 1\right)}^{\frac{1}{3}}\right)}}{3 \, {\left(a + 1\right)}^{\frac{1}{3}}}\right)}{{\left(a + 1\right)}^{\frac{1}{3}}}}{4 \, {\left(a^{2} - 1\right)}}\right]"," ",0,"[1/4*(sqrt(3)*(a^2 - 1)*sqrt((-a + 1)^(1/3)/(a - 1))*log(-((3*a - 2)*x - sqrt(3)*((a*x^3 - a*x + x^2 - 1)*(-a + 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - 2*((a^2 - a)*x^5 + (a - 1)*x^4 - 2*(a^2 - a)*x^3 - 2*(a - 1)*x^2 + (a^2 - a)*x + a - 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(2/3) - (a*x + 1)*(-a + 1)^(1/3))*sqrt((-a + 1)^(1/3)/(a - 1)) + 3*(a*x^3 - a*x + x^2 - 1)*(-a + 1)^(1/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + 1)/(x + 1)) + sqrt(3)*(a^2 - 1)*sqrt(-1/(a + 1)^(2/3))*log(((3*a + 2)*x + sqrt(3)*((a*x^3 - a*x + x^2 - 1)*(a + 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - 2*((a^2 + a)*x^5 + (a + 1)*x^4 - 2*(a^2 + a)*x^3 - 2*(a + 1)*x^2 + (a^2 + a)*x + a + 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(2/3) + (a*x + 1)*(a + 1)^(1/3))*sqrt(-1/(a + 1)^(2/3)) - 3*(a*x^3 - a*x + x^2 - 1)*(a + 1)^(1/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + 1)/(x - 1)) - (a + 1)^(2/3)*(a - 1)*log((x^2 - 1)*(a + 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + ((a + 1)*x^4 - 2*(a + 1)*x^2 + a + 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(2/3) + (a + 1)^(1/3)) + (a + 1)*(-a + 1)^(2/3)*log((x^2 - 1)*(-a + 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + ((a - 1)*x^4 - 2*(a - 1)*x^2 + a - 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(2/3) - (-a + 1)^(1/3)) + 2*(a + 1)^(2/3)*(a - 1)*log(((a + 1)*x^2 - a - 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - (a + 1)^(2/3)) - 2*(a + 1)*(-a + 1)^(2/3)*log(((a - 1)*x^2 - a + 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - (-a + 1)^(2/3)))/(a^2 - 1), 1/4*(2*sqrt(3)*(a^2 - 1)*sqrt(-(-a + 1)^(1/3)/(a - 1))*arctan(1/3*sqrt(3)*(2*(x^2 - 1)*(-a + 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - (-a + 1)^(1/3))*sqrt(-(-a + 1)^(1/3)/(a - 1))) + sqrt(3)*(a^2 - 1)*sqrt(-1/(a + 1)^(2/3))*log(((3*a + 2)*x + sqrt(3)*((a*x^3 - a*x + x^2 - 1)*(a + 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - 2*((a^2 + a)*x^5 + (a + 1)*x^4 - 2*(a^2 + a)*x^3 - 2*(a + 1)*x^2 + (a^2 + a)*x + a + 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(2/3) + (a*x + 1)*(a + 1)^(1/3))*sqrt(-1/(a + 1)^(2/3)) - 3*(a*x^3 - a*x + x^2 - 1)*(a + 1)^(1/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + 1)/(x - 1)) - (a + 1)^(2/3)*(a - 1)*log((x^2 - 1)*(a + 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + ((a + 1)*x^4 - 2*(a + 1)*x^2 + a + 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(2/3) + (a + 1)^(1/3)) + (a + 1)*(-a + 1)^(2/3)*log((x^2 - 1)*(-a + 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + ((a - 1)*x^4 - 2*(a - 1)*x^2 + a - 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(2/3) - (-a + 1)^(1/3)) + 2*(a + 1)^(2/3)*(a - 1)*log(((a + 1)*x^2 - a - 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - (a + 1)^(2/3)) - 2*(a + 1)*(-a + 1)^(2/3)*log(((a - 1)*x^2 - a + 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - (-a + 1)^(2/3)))/(a^2 - 1), 1/4*(sqrt(3)*(a^2 - 1)*sqrt((-a + 1)^(1/3)/(a - 1))*log(-((3*a - 2)*x - sqrt(3)*((a*x^3 - a*x + x^2 - 1)*(-a + 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - 2*((a^2 - a)*x^5 + (a - 1)*x^4 - 2*(a^2 - a)*x^3 - 2*(a - 1)*x^2 + (a^2 - a)*x + a - 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(2/3) - (a*x + 1)*(-a + 1)^(1/3))*sqrt((-a + 1)^(1/3)/(a - 1)) + 3*(a*x^3 - a*x + x^2 - 1)*(-a + 1)^(1/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + 1)/(x + 1)) - (a + 1)^(2/3)*(a - 1)*log((x^2 - 1)*(a + 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + ((a + 1)*x^4 - 2*(a + 1)*x^2 + a + 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(2/3) + (a + 1)^(1/3)) + (a + 1)*(-a + 1)^(2/3)*log((x^2 - 1)*(-a + 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + ((a - 1)*x^4 - 2*(a - 1)*x^2 + a - 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(2/3) - (-a + 1)^(1/3)) + 2*(a + 1)^(2/3)*(a - 1)*log(((a + 1)*x^2 - a - 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - (a + 1)^(2/3)) - 2*(a + 1)*(-a + 1)^(2/3)*log(((a - 1)*x^2 - a + 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - (-a + 1)^(2/3)) - 2*sqrt(3)*(a^2 - 1)*arctan(1/3*sqrt(3)*(2*(x^2 - 1)*(a + 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + (a + 1)^(1/3))/(a + 1)^(1/3))/(a + 1)^(1/3))/(a^2 - 1), 1/4*(2*sqrt(3)*(a^2 - 1)*sqrt(-(-a + 1)^(1/3)/(a - 1))*arctan(1/3*sqrt(3)*(2*(x^2 - 1)*(-a + 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - (-a + 1)^(1/3))*sqrt(-(-a + 1)^(1/3)/(a - 1))) - (a + 1)^(2/3)*(a - 1)*log((x^2 - 1)*(a + 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + ((a + 1)*x^4 - 2*(a + 1)*x^2 + a + 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(2/3) + (a + 1)^(1/3)) + (a + 1)*(-a + 1)^(2/3)*log((x^2 - 1)*(-a + 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + ((a - 1)*x^4 - 2*(a - 1)*x^2 + a - 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(2/3) - (-a + 1)^(1/3)) + 2*(a + 1)^(2/3)*(a - 1)*log(((a + 1)*x^2 - a - 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - (a + 1)^(2/3)) - 2*(a + 1)*(-a + 1)^(2/3)*log(((a - 1)*x^2 - a + 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - (-a + 1)^(2/3)) - 2*sqrt(3)*(a^2 - 1)*arctan(1/3*sqrt(3)*(2*(x^2 - 1)*(a + 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + (a + 1)^(1/3))/(a + 1)^(1/3))/(a + 1)^(1/3))/(a^2 - 1)]","A",0
3117,1,562,0,0.654068," ","integrate((a^2*x^2-b)^(1/2)*(a*x+(a^2*x^2-b)^(1/2))^(1/3)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/3))^(1/4),x, algorithm=""fricas"")","\frac{12047014980 \, a c^{5} \left(\frac{b^{8}}{a^{4} c^{21}}\right)^{\frac{1}{4}} \arctan\left(-\frac{a b^{6} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{1}{4}} c^{5} \left(\frac{b^{8}}{a^{4} c^{21}}\right)^{\frac{1}{4}} - \sqrt{a^{2} b^{8} c^{11} \sqrt{\frac{b^{8}}{a^{4} c^{21}}} + b^{12} \sqrt{c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}}} a c^{5} \left(\frac{b^{8}}{a^{4} c^{21}}\right)^{\frac{1}{4}}}{b^{8}}\right) + 3011753745 \, a c^{5} \left(\frac{b^{8}}{a^{4} c^{21}}\right)^{\frac{1}{4}} \log\left(7868724669 \, a^{3} c^{16} \left(\frac{b^{8}}{a^{4} c^{21}}\right)^{\frac{3}{4}} + 7868724669 \, b^{6} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{1}{4}}\right) - 3011753745 \, a c^{5} \left(\frac{b^{8}}{a^{4} c^{21}}\right)^{\frac{1}{4}} \log\left(-7868724669 \, a^{3} c^{16} \left(\frac{b^{8}}{a^{4} c^{21}}\right)^{\frac{3}{4}} + 7868724669 \, b^{6} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{1}{4}}\right) + 4 \, {\left(2684354560 \, c^{11} + 2756526080 \, a^{2} c^{5} x^{2} - 26186997760 \, b c^{5} - 2464 \, {\left(655360 \, a c^{8} + 869193 \, a b c^{2}\right)} x + 21 \, {\left(83886080 \, c^{9} + 188280576 \, a^{2} c^{3} x^{2} - 94140288 \, b c^{3} - 1045 \, {\left(65536 \, a c^{6} + 137241 \, a b\right)} x - 209 \, {\left(327680 \, c^{6} + 900864 \, a c^{3} x - 686205 \, b\right)} \sqrt{a^{2} x^{2} - b}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{2}{3}} - 2464 \, {\left(655360 \, c^{8} - 1118720 \, a c^{5} x - 869193 \, b c^{2}\right)} \sqrt{a^{2} x^{2} - b} - 12 \, {\left(167772160 \, c^{10} + 310109184 \, a^{2} c^{4} x^{2} - 155054592 \, b c^{4} - 77 \, {\left(1638400 \, a c^{7} + 2607579 \, a b c\right)} x - 77 \, {\left(1638400 \, c^{7} + 4027392 \, a c^{4} x - 2607579 \, b c\right)} \sqrt{a^{2} x^{2} - b}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{3}{4}}}{49617469440 \, a c^{5}}"," ",0,"1/49617469440*(12047014980*a*c^5*(b^8/(a^4*c^21))^(1/4)*arctan(-(a*b^6*(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(1/4)*c^5*(b^8/(a^4*c^21))^(1/4) - sqrt(a^2*b^8*c^11*sqrt(b^8/(a^4*c^21)) + b^12*sqrt(c + (a*x + sqrt(a^2*x^2 - b))^(1/3)))*a*c^5*(b^8/(a^4*c^21))^(1/4))/b^8) + 3011753745*a*c^5*(b^8/(a^4*c^21))^(1/4)*log(7868724669*a^3*c^16*(b^8/(a^4*c^21))^(3/4) + 7868724669*b^6*(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(1/4)) - 3011753745*a*c^5*(b^8/(a^4*c^21))^(1/4)*log(-7868724669*a^3*c^16*(b^8/(a^4*c^21))^(3/4) + 7868724669*b^6*(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(1/4)) + 4*(2684354560*c^11 + 2756526080*a^2*c^5*x^2 - 26186997760*b*c^5 - 2464*(655360*a*c^8 + 869193*a*b*c^2)*x + 21*(83886080*c^9 + 188280576*a^2*c^3*x^2 - 94140288*b*c^3 - 1045*(65536*a*c^6 + 137241*a*b)*x - 209*(327680*c^6 + 900864*a*c^3*x - 686205*b)*sqrt(a^2*x^2 - b))*(a*x + sqrt(a^2*x^2 - b))^(2/3) - 2464*(655360*c^8 - 1118720*a*c^5*x - 869193*b*c^2)*sqrt(a^2*x^2 - b) - 12*(167772160*c^10 + 310109184*a^2*c^4*x^2 - 155054592*b*c^4 - 77*(1638400*a*c^7 + 2607579*a*b*c)*x - 77*(1638400*c^7 + 4027392*a*c^4*x - 2607579*b*c)*sqrt(a^2*x^2 - b))*(a*x + sqrt(a^2*x^2 - b))^(1/3))*(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(3/4))/(a*c^5)","A",0
3118,1,1065,0,1.292221," ","integrate((a*x+(a^2*x^2-b)^(1/2))^(1/6)/x^3/(a^2*x^2-b)^(1/2),x, algorithm=""fricas"")","-\frac{70 \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{1}{12}} b x^{2} {\left(\frac{1}{2} i \, \sqrt{3} + \frac{1}{2}\right)}^{\frac{3}{2}} \log\left(64339296875 \, {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{6}} a^{14} + 64339296875 \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{7}{12}} b^{10} {\left(\frac{1}{2} i \, \sqrt{3} + \frac{1}{2}\right)}^{\frac{3}{2}}\right) - 70 \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{1}{12}} b x^{2} {\left(\frac{1}{2} i \, \sqrt{3} + \frac{1}{2}\right)}^{\frac{3}{2}} \log\left(64339296875 \, {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{6}} a^{14} - 64339296875 \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{7}{12}} b^{10} {\left(\frac{1}{2} i \, \sqrt{3} + \frac{1}{2}\right)}^{\frac{3}{2}}\right) - 35 \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{1}{12}} b x^{2} {\left(-i \, \sqrt{3} - 1\right)} \log\left(64339296875 \, {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{6}} a^{14} + \frac{64339296875}{2} \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{7}{12}} b^{10} {\left(-i \, \sqrt{3} - 1\right)}\right) + 35 \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{1}{12}} b x^{2} {\left(-i \, \sqrt{3} - 1\right)} \log\left(64339296875 \, {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{6}} a^{14} - \frac{64339296875}{2} \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{7}{12}} b^{10} {\left(-i \, \sqrt{3} - 1\right)}\right) + 70 \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{1}{12}} b x^{2} \sqrt{\frac{1}{2} i \, \sqrt{3} + \frac{1}{2}} \log\left(64339296875 \, {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{6}} a^{14} + 64339296875 \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{7}{12}} b^{10} \sqrt{\frac{1}{2} i \, \sqrt{3} + \frac{1}{2}}\right) - 70 \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{1}{12}} b x^{2} \sqrt{\frac{1}{2} i \, \sqrt{3} + \frac{1}{2}} \log\left(64339296875 \, {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{6}} a^{14} - 64339296875 \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{7}{12}} b^{10} \sqrt{\frac{1}{2} i \, \sqrt{3} + \frac{1}{2}}\right) - 70 \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{1}{12}} b x^{2} \log\left(64339296875 \, {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{6}} a^{14} + 64339296875 \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{7}{12}} b^{10}\right) + 70 \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{1}{12}} b x^{2} \log\left(64339296875 \, {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{6}} a^{14} - 64339296875 \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{7}{12}} b^{10}\right) + 70 \, {\left(\left(-\frac{a^{24}}{b^{17}}\right)^{\frac{1}{12}} b x^{2} {\left(\frac{1}{2} i \, \sqrt{3} + \frac{1}{2}\right)}^{\frac{3}{2}} - \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{1}{12}} b x^{2} \sqrt{\frac{1}{2} i \, \sqrt{3} + \frac{1}{2}}\right)} \log\left(64339296875 \, {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{6}} a^{14} + 64339296875 \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{7}{12}} b^{10} {\left(\frac{1}{2} i \, \sqrt{3} + \frac{1}{2}\right)}^{\frac{3}{2}} - 64339296875 \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{7}{12}} b^{10} \sqrt{\frac{1}{2} i \, \sqrt{3} + \frac{1}{2}}\right) - 70 \, {\left(\left(-\frac{a^{24}}{b^{17}}\right)^{\frac{1}{12}} b x^{2} {\left(\frac{1}{2} i \, \sqrt{3} + \frac{1}{2}\right)}^{\frac{3}{2}} - \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{1}{12}} b x^{2} \sqrt{\frac{1}{2} i \, \sqrt{3} + \frac{1}{2}}\right)} \log\left(64339296875 \, {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{6}} a^{14} - 64339296875 \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{7}{12}} b^{10} {\left(\frac{1}{2} i \, \sqrt{3} + \frac{1}{2}\right)}^{\frac{3}{2}} + 64339296875 \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{7}{12}} b^{10} \sqrt{\frac{1}{2} i \, \sqrt{3} + \frac{1}{2}}\right) - 35 \, {\left(\left(-\frac{a^{24}}{b^{17}}\right)^{\frac{1}{12}} b x^{2} {\left(-i \, \sqrt{3} - 1\right)} + 2 \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{1}{12}} b x^{2}\right)} \log\left(64339296875 \, {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{6}} a^{14} + \frac{64339296875}{2} \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{7}{12}} b^{10} {\left(-i \, \sqrt{3} - 1\right)} + 64339296875 \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{7}{12}} b^{10}\right) + 35 \, {\left(\left(-\frac{a^{24}}{b^{17}}\right)^{\frac{1}{12}} b x^{2} {\left(-i \, \sqrt{3} - 1\right)} + 2 \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{1}{12}} b x^{2}\right)} \log\left(64339296875 \, {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{6}} a^{14} - \frac{64339296875}{2} \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{7}{12}} b^{10} {\left(-i \, \sqrt{3} - 1\right)} - 64339296875 \, \left(-\frac{a^{24}}{b^{17}}\right)^{\frac{7}{12}} b^{10}\right) - 12 \, {\left(a x + 6 \, \sqrt{a^{2} x^{2} - b}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{6}}}{144 \, b x^{2}}"," ",0,"-1/144*(70*(-a^24/b^17)^(1/12)*b*x^2*(1/2*I*sqrt(3) + 1/2)^(3/2)*log(64339296875*(a*x + sqrt(a^2*x^2 - b))^(1/6)*a^14 + 64339296875*(-a^24/b^17)^(7/12)*b^10*(1/2*I*sqrt(3) + 1/2)^(3/2)) - 70*(-a^24/b^17)^(1/12)*b*x^2*(1/2*I*sqrt(3) + 1/2)^(3/2)*log(64339296875*(a*x + sqrt(a^2*x^2 - b))^(1/6)*a^14 - 64339296875*(-a^24/b^17)^(7/12)*b^10*(1/2*I*sqrt(3) + 1/2)^(3/2)) - 35*(-a^24/b^17)^(1/12)*b*x^2*(-I*sqrt(3) - 1)*log(64339296875*(a*x + sqrt(a^2*x^2 - b))^(1/6)*a^14 + 64339296875/2*(-a^24/b^17)^(7/12)*b^10*(-I*sqrt(3) - 1)) + 35*(-a^24/b^17)^(1/12)*b*x^2*(-I*sqrt(3) - 1)*log(64339296875*(a*x + sqrt(a^2*x^2 - b))^(1/6)*a^14 - 64339296875/2*(-a^24/b^17)^(7/12)*b^10*(-I*sqrt(3) - 1)) + 70*(-a^24/b^17)^(1/12)*b*x^2*sqrt(1/2*I*sqrt(3) + 1/2)*log(64339296875*(a*x + sqrt(a^2*x^2 - b))^(1/6)*a^14 + 64339296875*(-a^24/b^17)^(7/12)*b^10*sqrt(1/2*I*sqrt(3) + 1/2)) - 70*(-a^24/b^17)^(1/12)*b*x^2*sqrt(1/2*I*sqrt(3) + 1/2)*log(64339296875*(a*x + sqrt(a^2*x^2 - b))^(1/6)*a^14 - 64339296875*(-a^24/b^17)^(7/12)*b^10*sqrt(1/2*I*sqrt(3) + 1/2)) - 70*(-a^24/b^17)^(1/12)*b*x^2*log(64339296875*(a*x + sqrt(a^2*x^2 - b))^(1/6)*a^14 + 64339296875*(-a^24/b^17)^(7/12)*b^10) + 70*(-a^24/b^17)^(1/12)*b*x^2*log(64339296875*(a*x + sqrt(a^2*x^2 - b))^(1/6)*a^14 - 64339296875*(-a^24/b^17)^(7/12)*b^10) + 70*((-a^24/b^17)^(1/12)*b*x^2*(1/2*I*sqrt(3) + 1/2)^(3/2) - (-a^24/b^17)^(1/12)*b*x^2*sqrt(1/2*I*sqrt(3) + 1/2))*log(64339296875*(a*x + sqrt(a^2*x^2 - b))^(1/6)*a^14 + 64339296875*(-a^24/b^17)^(7/12)*b^10*(1/2*I*sqrt(3) + 1/2)^(3/2) - 64339296875*(-a^24/b^17)^(7/12)*b^10*sqrt(1/2*I*sqrt(3) + 1/2)) - 70*((-a^24/b^17)^(1/12)*b*x^2*(1/2*I*sqrt(3) + 1/2)^(3/2) - (-a^24/b^17)^(1/12)*b*x^2*sqrt(1/2*I*sqrt(3) + 1/2))*log(64339296875*(a*x + sqrt(a^2*x^2 - b))^(1/6)*a^14 - 64339296875*(-a^24/b^17)^(7/12)*b^10*(1/2*I*sqrt(3) + 1/2)^(3/2) + 64339296875*(-a^24/b^17)^(7/12)*b^10*sqrt(1/2*I*sqrt(3) + 1/2)) - 35*((-a^24/b^17)^(1/12)*b*x^2*(-I*sqrt(3) - 1) + 2*(-a^24/b^17)^(1/12)*b*x^2)*log(64339296875*(a*x + sqrt(a^2*x^2 - b))^(1/6)*a^14 + 64339296875/2*(-a^24/b^17)^(7/12)*b^10*(-I*sqrt(3) - 1) + 64339296875*(-a^24/b^17)^(7/12)*b^10) + 35*((-a^24/b^17)^(1/12)*b*x^2*(-I*sqrt(3) - 1) + 2*(-a^24/b^17)^(1/12)*b*x^2)*log(64339296875*(a*x + sqrt(a^2*x^2 - b))^(1/6)*a^14 - 64339296875/2*(-a^24/b^17)^(7/12)*b^10*(-I*sqrt(3) - 1) - 64339296875*(-a^24/b^17)^(7/12)*b^10) - 12*(a*x + 6*sqrt(a^2*x^2 - b))*(a*x + sqrt(a^2*x^2 - b))^(1/6))/(b*x^2)","C",0
3119,-1,0,0,0.000000," ","integrate(x^2*(_C3*x^2-_C4)*((_C3*x^2+_C0*x+_C4)/(_C3*x^2+_C1*x+_C4))^(1/4)/(_C3*x^2+_C4-x)/(_C3*x^2+_C4+x)/(_C3^2*x^4+2*_C3*_C4*x^2+_C4^2+x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3120,1,1036,0,0.874198," ","integrate(1/(a*x+(a^2*x^2-b)^(1/2))^(1/4)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/4))^(1/3),x, algorithm=""fricas"")","\left[\frac{5460 \, \sqrt{\frac{1}{3}} b^{2} c \sqrt{-\frac{1}{c^{\frac{2}{3}}}} \log\left(6 \, \sqrt{\frac{1}{3}} {\left(a c^{\frac{2}{3}} x - \sqrt{a^{2} x^{2} - b} c^{\frac{2}{3}}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}} \sqrt{-\frac{1}{c^{\frac{2}{3}}}} - 3 \, {\left(a c^{\frac{2}{3}} x + \sqrt{\frac{1}{3}} {\left(a c x - \sqrt{a^{2} x^{2} - b} c\right)} \sqrt{-\frac{1}{c^{\frac{2}{3}}}} - \sqrt{a^{2} x^{2} - b} c^{\frac{2}{3}}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} + 3 \, {\left(a c x - \sqrt{\frac{1}{3}} {\left(a c^{\frac{4}{3}} x - \sqrt{a^{2} x^{2} - b} c^{\frac{4}{3}}\right)} \sqrt{-\frac{1}{c^{\frac{2}{3}}}} - \sqrt{a^{2} x^{2} - b} c\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} + 2 \, b\right) - 1820 \, b^{2} c^{\frac{2}{3}} \log\left({\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} c^{\frac{1}{3}} + c^{\frac{2}{3}}\right) + 3640 \, b^{2} c^{\frac{2}{3}} \log\left({\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} - c^{\frac{1}{3}}\right) + 3 \, {\left(6561 \, b c^{8} - 2106 \, a b c^{4} x + 2106 \, \sqrt{a^{2} x^{2} - b} b c^{4} + 8 \, {\left(486 \, a^{2} c^{5} x^{2} - 243 \, b c^{5} + 455 \, a b c x - {\left(486 \, a c^{5} x + 455 \, b c\right)} \sqrt{a^{2} x^{2} - b}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} + 15 \, {\left(243 \, b c^{6} - 182 \, a b c^{2} x + 182 \, \sqrt{a^{2} x^{2} - b} b c^{2}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} - 18 \, {\left(243 \, b c^{7} - 130 \, a b c^{3} x + 130 \, \sqrt{a^{2} x^{2} - b} b c^{3}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}}}{14580 \, a b c^{6}}, \frac{10920 \, \sqrt{\frac{1}{3}} b^{2} c^{\frac{2}{3}} \arctan\left(\sqrt{\frac{1}{3}} + \frac{2 \, \sqrt{\frac{1}{3}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}}{c^{\frac{1}{3}}}\right) - 1820 \, b^{2} c^{\frac{2}{3}} \log\left({\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} c^{\frac{1}{3}} + c^{\frac{2}{3}}\right) + 3640 \, b^{2} c^{\frac{2}{3}} \log\left({\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} - c^{\frac{1}{3}}\right) + 3 \, {\left(6561 \, b c^{8} - 2106 \, a b c^{4} x + 2106 \, \sqrt{a^{2} x^{2} - b} b c^{4} + 8 \, {\left(486 \, a^{2} c^{5} x^{2} - 243 \, b c^{5} + 455 \, a b c x - {\left(486 \, a c^{5} x + 455 \, b c\right)} \sqrt{a^{2} x^{2} - b}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} + 15 \, {\left(243 \, b c^{6} - 182 \, a b c^{2} x + 182 \, \sqrt{a^{2} x^{2} - b} b c^{2}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} - 18 \, {\left(243 \, b c^{7} - 130 \, a b c^{3} x + 130 \, \sqrt{a^{2} x^{2} - b} b c^{3}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}}}{14580 \, a b c^{6}}\right]"," ",0,"[1/14580*(5460*sqrt(1/3)*b^2*c*sqrt(-1/c^(2/3))*log(6*sqrt(1/3)*(a*c^(2/3)*x - sqrt(a^2*x^2 - b)*c^(2/3))*(a*x + sqrt(a^2*x^2 - b))^(3/4)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3)*sqrt(-1/c^(2/3)) - 3*(a*c^(2/3)*x + sqrt(1/3)*(a*c*x - sqrt(a^2*x^2 - b)*c)*sqrt(-1/c^(2/3)) - sqrt(a^2*x^2 - b)*c^(2/3))*(a*x + sqrt(a^2*x^2 - b))^(3/4)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3) + 3*(a*c*x - sqrt(1/3)*(a*c^(4/3)*x - sqrt(a^2*x^2 - b)*c^(4/3))*sqrt(-1/c^(2/3)) - sqrt(a^2*x^2 - b)*c)*(a*x + sqrt(a^2*x^2 - b))^(3/4) + 2*b) - 1820*b^2*c^(2/3)*log((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)*c^(1/3) + c^(2/3)) + 3640*b^2*c^(2/3)*log((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3) - c^(1/3)) + 3*(6561*b*c^8 - 2106*a*b*c^4*x + 2106*sqrt(a^2*x^2 - b)*b*c^4 + 8*(486*a^2*c^5*x^2 - 243*b*c^5 + 455*a*b*c*x - (486*a*c^5*x + 455*b*c)*sqrt(a^2*x^2 - b))*(a*x + sqrt(a^2*x^2 - b))^(3/4) + 15*(243*b*c^6 - 182*a*b*c^2*x + 182*sqrt(a^2*x^2 - b)*b*c^2)*sqrt(a*x + sqrt(a^2*x^2 - b)) - 18*(243*b*c^7 - 130*a*b*c^3*x + 130*sqrt(a^2*x^2 - b)*b*c^3)*(a*x + sqrt(a^2*x^2 - b))^(1/4))*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3))/(a*b*c^6), 1/14580*(10920*sqrt(1/3)*b^2*c^(2/3)*arctan(sqrt(1/3) + 2*sqrt(1/3)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)/c^(1/3)) - 1820*b^2*c^(2/3)*log((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)*c^(1/3) + c^(2/3)) + 3640*b^2*c^(2/3)*log((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3) - c^(1/3)) + 3*(6561*b*c^8 - 2106*a*b*c^4*x + 2106*sqrt(a^2*x^2 - b)*b*c^4 + 8*(486*a^2*c^5*x^2 - 243*b*c^5 + 455*a*b*c*x - (486*a*c^5*x + 455*b*c)*sqrt(a^2*x^2 - b))*(a*x + sqrt(a^2*x^2 - b))^(3/4) + 15*(243*b*c^6 - 182*a*b*c^2*x + 182*sqrt(a^2*x^2 - b)*b*c^2)*sqrt(a*x + sqrt(a^2*x^2 - b)) - 18*(243*b*c^7 - 130*a*b*c^3*x + 130*sqrt(a^2*x^2 - b)*b*c^3)*(a*x + sqrt(a^2*x^2 - b))^(1/4))*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3))/(a*b*c^6)]","A",0
3121,1,1039,0,0.742273," ","integrate(1/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/4))^(1/3),x, algorithm=""fricas"")","\left[\frac{23100 \, \sqrt{\frac{1}{3}} b c \sqrt{\frac{\left(-c\right)^{\frac{1}{3}}}{c}} \log\left(-6 \, \sqrt{\frac{1}{3}} {\left(a \left(-c\right)^{\frac{2}{3}} x - \sqrt{a^{2} x^{2} - b} \left(-c\right)^{\frac{2}{3}}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}} \sqrt{\frac{\left(-c\right)^{\frac{1}{3}}}{c}} - 3 \, {\left(a \left(-c\right)^{\frac{2}{3}} x - \sqrt{\frac{1}{3}} {\left(a c x - \sqrt{a^{2} x^{2} - b} c\right)} \sqrt{\frac{\left(-c\right)^{\frac{1}{3}}}{c}} - \sqrt{a^{2} x^{2} - b} \left(-c\right)^{\frac{2}{3}}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} + 3 \, {\left(a c x - \sqrt{\frac{1}{3}} {\left(a \left(-c\right)^{\frac{1}{3}} c x - \sqrt{a^{2} x^{2} - b} \left(-c\right)^{\frac{1}{3}} c\right)} \sqrt{\frac{\left(-c\right)^{\frac{1}{3}}}{c}} - \sqrt{a^{2} x^{2} - b} c\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} + 2 \, b\right) + 7700 \, b \left(-c\right)^{\frac{2}{3}} \log\left(\left(-c\right)^{\frac{2}{3}} - \left(-c\right)^{\frac{1}{3}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}}\right) - 15400 \, b \left(-c\right)^{\frac{2}{3}} \log\left(\left(-c\right)^{\frac{1}{3}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}\right) - 3 \, {\left(19683 \, c^{8} - 8910 \, a c^{4} x + 8910 \, \sqrt{a^{2} x^{2} - b} c^{4} - 40 \, {\left(243 \, c^{5} - 385 \, a c x + 385 \, \sqrt{a^{2} x^{2} - b} c\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} + 15 \, {\left(729 \, c^{6} - 770 \, a c^{2} x + 770 \, \sqrt{a^{2} x^{2} - b} c^{2}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} - 18 \, {\left(729 \, c^{7} - 550 \, a c^{3} x + 550 \, \sqrt{a^{2} x^{2} - b} c^{3}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}}}{53460 \, a c^{5}}, -\frac{46200 \, \sqrt{\frac{1}{3}} b c \sqrt{-\frac{\left(-c\right)^{\frac{1}{3}}}{c}} \arctan\left(-\sqrt{\frac{1}{3}} \left(-c\right)^{\frac{1}{3}} \sqrt{-\frac{\left(-c\right)^{\frac{1}{3}}}{c}} + 2 \, \sqrt{\frac{1}{3}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} \sqrt{-\frac{\left(-c\right)^{\frac{1}{3}}}{c}}\right) - 7700 \, b \left(-c\right)^{\frac{2}{3}} \log\left(\left(-c\right)^{\frac{2}{3}} - \left(-c\right)^{\frac{1}{3}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}}\right) + 15400 \, b \left(-c\right)^{\frac{2}{3}} \log\left(\left(-c\right)^{\frac{1}{3}} + {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}\right) + 3 \, {\left(19683 \, c^{8} - 8910 \, a c^{4} x + 8910 \, \sqrt{a^{2} x^{2} - b} c^{4} - 40 \, {\left(243 \, c^{5} - 385 \, a c x + 385 \, \sqrt{a^{2} x^{2} - b} c\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} + 15 \, {\left(729 \, c^{6} - 770 \, a c^{2} x + 770 \, \sqrt{a^{2} x^{2} - b} c^{2}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} - 18 \, {\left(729 \, c^{7} - 550 \, a c^{3} x + 550 \, \sqrt{a^{2} x^{2} - b} c^{3}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}}}{53460 \, a c^{5}}\right]"," ",0,"[1/53460*(23100*sqrt(1/3)*b*c*sqrt((-c)^(1/3)/c)*log(-6*sqrt(1/3)*(a*(-c)^(2/3)*x - sqrt(a^2*x^2 - b)*(-c)^(2/3))*(a*x + sqrt(a^2*x^2 - b))^(3/4)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3)*sqrt((-c)^(1/3)/c) - 3*(a*(-c)^(2/3)*x - sqrt(1/3)*(a*c*x - sqrt(a^2*x^2 - b)*c)*sqrt((-c)^(1/3)/c) - sqrt(a^2*x^2 - b)*(-c)^(2/3))*(a*x + sqrt(a^2*x^2 - b))^(3/4)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3) + 3*(a*c*x - sqrt(1/3)*(a*(-c)^(1/3)*c*x - sqrt(a^2*x^2 - b)*(-c)^(1/3)*c)*sqrt((-c)^(1/3)/c) - sqrt(a^2*x^2 - b)*c)*(a*x + sqrt(a^2*x^2 - b))^(3/4) + 2*b) + 7700*b*(-c)^(2/3)*log((-c)^(2/3) - (-c)^(1/3)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3)) - 15400*b*(-c)^(2/3)*log((-c)^(1/3) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)) - 3*(19683*c^8 - 8910*a*c^4*x + 8910*sqrt(a^2*x^2 - b)*c^4 - 40*(243*c^5 - 385*a*c*x + 385*sqrt(a^2*x^2 - b)*c)*(a*x + sqrt(a^2*x^2 - b))^(3/4) + 15*(729*c^6 - 770*a*c^2*x + 770*sqrt(a^2*x^2 - b)*c^2)*sqrt(a*x + sqrt(a^2*x^2 - b)) - 18*(729*c^7 - 550*a*c^3*x + 550*sqrt(a^2*x^2 - b)*c^3)*(a*x + sqrt(a^2*x^2 - b))^(1/4))*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3))/(a*c^5), -1/53460*(46200*sqrt(1/3)*b*c*sqrt(-(-c)^(1/3)/c)*arctan(-sqrt(1/3)*(-c)^(1/3)*sqrt(-(-c)^(1/3)/c) + 2*sqrt(1/3)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)*sqrt(-(-c)^(1/3)/c)) - 7700*b*(-c)^(2/3)*log((-c)^(2/3) - (-c)^(1/3)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3)) + 15400*b*(-c)^(2/3)*log((-c)^(1/3) + (c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)) + 3*(19683*c^8 - 8910*a*c^4*x + 8910*sqrt(a^2*x^2 - b)*c^4 - 40*(243*c^5 - 385*a*c*x + 385*sqrt(a^2*x^2 - b)*c)*(a*x + sqrt(a^2*x^2 - b))^(3/4) + 15*(729*c^6 - 770*a*c^2*x + 770*sqrt(a^2*x^2 - b)*c^2)*sqrt(a*x + sqrt(a^2*x^2 - b)) - 18*(729*c^7 - 550*a*c^3*x + 550*sqrt(a^2*x^2 - b)*c^3)*(a*x + sqrt(a^2*x^2 - b))^(1/4))*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3))/(a*c^5)]","A",0
3122,1,4114,0,1.035201," ","integrate(((a*x^9-4*a*x^7+x^8+6*a*x^5-4*x^6-4*a*x^3+6*x^4+a*x-4*x^2+1)/(b*x-c))^(1/4),x, algorithm=""fricas"")","-\frac{12 \, {\left(a^{2} b^{3} x^{2} - a^{2} b^{3}\right)} \left(\frac{50625 \, a^{12} c^{12} + 67500 \, a^{11} b c^{11} + {\left(1048576 \, a^{8} - 917504 \, a^{6} + 301056 \, a^{4} - 43904 \, a^{2} + 2401\right)} b^{12} + 4 \, {\left(1048576 \, a^{9} - 589824 \, a^{7} + 86016 \, a^{5} + 3136 \, a^{3} - 1029 \, a\right)} b^{11} c + 2 \, {\left(3145728 \, a^{10} - 1114112 \, a^{8} + 135168 \, a^{6} - 30912 \, a^{4} + 4753 \, a^{2}\right)} b^{10} c^{2} + 4 \, {\left(1048576 \, a^{11} - 917504 \, a^{9} + 454656 \, a^{7} - 79104 \, a^{5} + 2751 \, a^{3}\right)} b^{9} c^{3} + {\left(1048576 \, a^{12} - 7471104 \, a^{10} + 2297856 \, a^{8} - 40704 \, a^{6} - 15249 \, a^{4}\right)} b^{8} c^{4} - 200 \, {\left(32768 \, a^{11} - 6144 \, a^{9} + 1344 \, a^{7} - 243 \, a^{5}\right)} b^{7} c^{5} - 20 \, {\left(98304 \, a^{12} - 141312 \, a^{10} + 43712 \, a^{8} - 1579 \, a^{6}\right)} b^{6} c^{6} + 200 \, {\left(18432 \, a^{11} - 1664 \, a^{9} - 93 \, a^{7}\right)} b^{5} c^{7} + 25 \, {\left(55296 \, a^{12} - 12672 \, a^{10} + 3751 \, a^{8}\right)} b^{4} c^{8} - 1500 \, {\left(576 \, a^{11} - 41 \, a^{9}\right)} b^{3} c^{9} - 6750 \, {\left(64 \, a^{12} + a^{10}\right)} b^{2} c^{10}}{a^{11} b^{13}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(a^{8} b^{10} x^{2} - a^{8} b^{10}\right)} \sqrt{\frac{{\left(225 \, a^{6} c^{6} + 150 \, a^{5} b c^{5} + {\left(1024 \, a^{4} - 448 \, a^{2} + 49\right)} b^{6} + 2 \, {\left(1024 \, a^{5} - 128 \, a^{3} - 21 \, a\right)} b^{5} c + {\left(1024 \, a^{6} - 128 \, a^{4} + 79 \, a^{2}\right)} b^{4} c^{2} - 20 \, {\left(64 \, a^{5} - 9 \, a^{3}\right)} b^{3} c^{3} - 5 \, {\left(192 \, a^{6} + 13 \, a^{4}\right)} b^{2} c^{4}\right)} \sqrt{\frac{a x^{9} - 4 \, a x^{7} + x^{8} + 6 \, a x^{5} - 4 \, x^{6} - 4 \, a x^{3} + 6 \, x^{4} + a x - 4 \, x^{2} + 1}{b x - c}} + {\left(a^{6} b^{6} x^{4} - 2 \, a^{6} b^{6} x^{2} + a^{6} b^{6}\right)} \sqrt{\frac{50625 \, a^{12} c^{12} + 67500 \, a^{11} b c^{11} + {\left(1048576 \, a^{8} - 917504 \, a^{6} + 301056 \, a^{4} - 43904 \, a^{2} + 2401\right)} b^{12} + 4 \, {\left(1048576 \, a^{9} - 589824 \, a^{7} + 86016 \, a^{5} + 3136 \, a^{3} - 1029 \, a\right)} b^{11} c + 2 \, {\left(3145728 \, a^{10} - 1114112 \, a^{8} + 135168 \, a^{6} - 30912 \, a^{4} + 4753 \, a^{2}\right)} b^{10} c^{2} + 4 \, {\left(1048576 \, a^{11} - 917504 \, a^{9} + 454656 \, a^{7} - 79104 \, a^{5} + 2751 \, a^{3}\right)} b^{9} c^{3} + {\left(1048576 \, a^{12} - 7471104 \, a^{10} + 2297856 \, a^{8} - 40704 \, a^{6} - 15249 \, a^{4}\right)} b^{8} c^{4} - 200 \, {\left(32768 \, a^{11} - 6144 \, a^{9} + 1344 \, a^{7} - 243 \, a^{5}\right)} b^{7} c^{5} - 20 \, {\left(98304 \, a^{12} - 141312 \, a^{10} + 43712 \, a^{8} - 1579 \, a^{6}\right)} b^{6} c^{6} + 200 \, {\left(18432 \, a^{11} - 1664 \, a^{9} - 93 \, a^{7}\right)} b^{5} c^{7} + 25 \, {\left(55296 \, a^{12} - 12672 \, a^{10} + 3751 \, a^{8}\right)} b^{4} c^{8} - 1500 \, {\left(576 \, a^{11} - 41 \, a^{9}\right)} b^{3} c^{9} - 6750 \, {\left(64 \, a^{12} + a^{10}\right)} b^{2} c^{10}}{a^{11} b^{13}}}}{x^{4} - 2 \, x^{2} + 1}} \left(\frac{50625 \, a^{12} c^{12} + 67500 \, a^{11} b c^{11} + {\left(1048576 \, a^{8} - 917504 \, a^{6} + 301056 \, a^{4} - 43904 \, a^{2} + 2401\right)} b^{12} + 4 \, {\left(1048576 \, a^{9} - 589824 \, a^{7} + 86016 \, a^{5} + 3136 \, a^{3} - 1029 \, a\right)} b^{11} c + 2 \, {\left(3145728 \, a^{10} - 1114112 \, a^{8} + 135168 \, a^{6} - 30912 \, a^{4} + 4753 \, a^{2}\right)} b^{10} c^{2} + 4 \, {\left(1048576 \, a^{11} - 917504 \, a^{9} + 454656 \, a^{7} - 79104 \, a^{5} + 2751 \, a^{3}\right)} b^{9} c^{3} + {\left(1048576 \, a^{12} - 7471104 \, a^{10} + 2297856 \, a^{8} - 40704 \, a^{6} - 15249 \, a^{4}\right)} b^{8} c^{4} - 200 \, {\left(32768 \, a^{11} - 6144 \, a^{9} + 1344 \, a^{7} - 243 \, a^{5}\right)} b^{7} c^{5} - 20 \, {\left(98304 \, a^{12} - 141312 \, a^{10} + 43712 \, a^{8} - 1579 \, a^{6}\right)} b^{6} c^{6} + 200 \, {\left(18432 \, a^{11} - 1664 \, a^{9} - 93 \, a^{7}\right)} b^{5} c^{7} + 25 \, {\left(55296 \, a^{12} - 12672 \, a^{10} + 3751 \, a^{8}\right)} b^{4} c^{8} - 1500 \, {\left(576 \, a^{11} - 41 \, a^{9}\right)} b^{3} c^{9} - 6750 \, {\left(64 \, a^{12} + a^{10}\right)} b^{2} c^{10}}{a^{11} b^{13}}\right)^{\frac{3}{4}} - {\left(15 \, a^{11} b^{10} c^{3} + 5 \, a^{10} b^{11} c^{2} - {\left(32 \, a^{10} - 7 \, a^{8}\right)} b^{13} - {\left(32 \, a^{11} + 3 \, a^{9}\right)} b^{12} c\right)} \left(\frac{a x^{9} - 4 \, a x^{7} + x^{8} + 6 \, a x^{5} - 4 \, x^{6} - 4 \, a x^{3} + 6 \, x^{4} + a x - 4 \, x^{2} + 1}{b x - c}\right)^{\frac{1}{4}} \left(\frac{50625 \, a^{12} c^{12} + 67500 \, a^{11} b c^{11} + {\left(1048576 \, a^{8} - 917504 \, a^{6} + 301056 \, a^{4} - 43904 \, a^{2} + 2401\right)} b^{12} + 4 \, {\left(1048576 \, a^{9} - 589824 \, a^{7} + 86016 \, a^{5} + 3136 \, a^{3} - 1029 \, a\right)} b^{11} c + 2 \, {\left(3145728 \, a^{10} - 1114112 \, a^{8} + 135168 \, a^{6} - 30912 \, a^{4} + 4753 \, a^{2}\right)} b^{10} c^{2} + 4 \, {\left(1048576 \, a^{11} - 917504 \, a^{9} + 454656 \, a^{7} - 79104 \, a^{5} + 2751 \, a^{3}\right)} b^{9} c^{3} + {\left(1048576 \, a^{12} - 7471104 \, a^{10} + 2297856 \, a^{8} - 40704 \, a^{6} - 15249 \, a^{4}\right)} b^{8} c^{4} - 200 \, {\left(32768 \, a^{11} - 6144 \, a^{9} + 1344 \, a^{7} - 243 \, a^{5}\right)} b^{7} c^{5} - 20 \, {\left(98304 \, a^{12} - 141312 \, a^{10} + 43712 \, a^{8} - 1579 \, a^{6}\right)} b^{6} c^{6} + 200 \, {\left(18432 \, a^{11} - 1664 \, a^{9} - 93 \, a^{7}\right)} b^{5} c^{7} + 25 \, {\left(55296 \, a^{12} - 12672 \, a^{10} + 3751 \, a^{8}\right)} b^{4} c^{8} - 1500 \, {\left(576 \, a^{11} - 41 \, a^{9}\right)} b^{3} c^{9} - 6750 \, {\left(64 \, a^{12} + a^{10}\right)} b^{2} c^{10}}{a^{11} b^{13}}\right)^{\frac{3}{4}}}{50625 \, a^{12} c^{12} + 67500 \, a^{11} b c^{11} + {\left(1048576 \, a^{8} - 917504 \, a^{6} + 301056 \, a^{4} - 43904 \, a^{2} + 2401\right)} b^{12} + 4 \, {\left(1048576 \, a^{9} - 589824 \, a^{7} + 86016 \, a^{5} + 3136 \, a^{3} - 1029 \, a\right)} b^{11} c + 2 \, {\left(3145728 \, a^{10} - 1114112 \, a^{8} + 135168 \, a^{6} - 30912 \, a^{4} + 4753 \, a^{2}\right)} b^{10} c^{2} + 4 \, {\left(1048576 \, a^{11} - 917504 \, a^{9} + 454656 \, a^{7} - 79104 \, a^{5} + 2751 \, a^{3}\right)} b^{9} c^{3} + {\left(1048576 \, a^{12} - 7471104 \, a^{10} + 2297856 \, a^{8} - 40704 \, a^{6} - 15249 \, a^{4}\right)} b^{8} c^{4} - 200 \, {\left(32768 \, a^{11} - 6144 \, a^{9} + 1344 \, a^{7} - 243 \, a^{5}\right)} b^{7} c^{5} - 20 \, {\left(98304 \, a^{12} - 141312 \, a^{10} + 43712 \, a^{8} - 1579 \, a^{6}\right)} b^{6} c^{6} + 200 \, {\left(18432 \, a^{11} - 1664 \, a^{9} - 93 \, a^{7}\right)} b^{5} c^{7} + 25 \, {\left(55296 \, a^{12} - 12672 \, a^{10} + 3751 \, a^{8}\right)} b^{4} c^{8} - 1500 \, {\left(576 \, a^{11} - 41 \, a^{9}\right)} b^{3} c^{9} - 6750 \, {\left(64 \, a^{12} + a^{10}\right)} b^{2} c^{10} - {\left(50625 \, a^{12} c^{12} + 67500 \, a^{11} b c^{11} + {\left(1048576 \, a^{8} - 917504 \, a^{6} + 301056 \, a^{4} - 43904 \, a^{2} + 2401\right)} b^{12} + 4 \, {\left(1048576 \, a^{9} - 589824 \, a^{7} + 86016 \, a^{5} + 3136 \, a^{3} - 1029 \, a\right)} b^{11} c + 2 \, {\left(3145728 \, a^{10} - 1114112 \, a^{8} + 135168 \, a^{6} - 30912 \, a^{4} + 4753 \, a^{2}\right)} b^{10} c^{2} + 4 \, {\left(1048576 \, a^{11} - 917504 \, a^{9} + 454656 \, a^{7} - 79104 \, a^{5} + 2751 \, a^{3}\right)} b^{9} c^{3} + {\left(1048576 \, a^{12} - 7471104 \, a^{10} + 2297856 \, a^{8} - 40704 \, a^{6} - 15249 \, a^{4}\right)} b^{8} c^{4} - 200 \, {\left(32768 \, a^{11} - 6144 \, a^{9} + 1344 \, a^{7} - 243 \, a^{5}\right)} b^{7} c^{5} - 20 \, {\left(98304 \, a^{12} - 141312 \, a^{10} + 43712 \, a^{8} - 1579 \, a^{6}\right)} b^{6} c^{6} + 200 \, {\left(18432 \, a^{11} - 1664 \, a^{9} - 93 \, a^{7}\right)} b^{5} c^{7} + 25 \, {\left(55296 \, a^{12} - 12672 \, a^{10} + 3751 \, a^{8}\right)} b^{4} c^{8} - 1500 \, {\left(576 \, a^{11} - 41 \, a^{9}\right)} b^{3} c^{9} - 6750 \, {\left(64 \, a^{12} + a^{10}\right)} b^{2} c^{10}\right)} x^{2}}\right) - 3 \, {\left(a^{2} b^{3} x^{2} - a^{2} b^{3}\right)} \left(\frac{50625 \, a^{12} c^{12} + 67500 \, a^{11} b c^{11} + {\left(1048576 \, a^{8} - 917504 \, a^{6} + 301056 \, a^{4} - 43904 \, a^{2} + 2401\right)} b^{12} + 4 \, {\left(1048576 \, a^{9} - 589824 \, a^{7} + 86016 \, a^{5} + 3136 \, a^{3} - 1029 \, a\right)} b^{11} c + 2 \, {\left(3145728 \, a^{10} - 1114112 \, a^{8} + 135168 \, a^{6} - 30912 \, a^{4} + 4753 \, a^{2}\right)} b^{10} c^{2} + 4 \, {\left(1048576 \, a^{11} - 917504 \, a^{9} + 454656 \, a^{7} - 79104 \, a^{5} + 2751 \, a^{3}\right)} b^{9} c^{3} + {\left(1048576 \, a^{12} - 7471104 \, a^{10} + 2297856 \, a^{8} - 40704 \, a^{6} - 15249 \, a^{4}\right)} b^{8} c^{4} - 200 \, {\left(32768 \, a^{11} - 6144 \, a^{9} + 1344 \, a^{7} - 243 \, a^{5}\right)} b^{7} c^{5} - 20 \, {\left(98304 \, a^{12} - 141312 \, a^{10} + 43712 \, a^{8} - 1579 \, a^{6}\right)} b^{6} c^{6} + 200 \, {\left(18432 \, a^{11} - 1664 \, a^{9} - 93 \, a^{7}\right)} b^{5} c^{7} + 25 \, {\left(55296 \, a^{12} - 12672 \, a^{10} + 3751 \, a^{8}\right)} b^{4} c^{8} - 1500 \, {\left(576 \, a^{11} - 41 \, a^{9}\right)} b^{3} c^{9} - 6750 \, {\left(64 \, a^{12} + a^{10}\right)} b^{2} c^{10}}{a^{11} b^{13}}\right)^{\frac{1}{4}} \log\left(\frac{{\left(15 \, a^{3} c^{3} + 5 \, a^{2} b c^{2} - {\left(32 \, a^{2} - 7\right)} b^{3} - {\left(32 \, a^{3} + 3 \, a\right)} b^{2} c\right)} \left(\frac{a x^{9} - 4 \, a x^{7} + x^{8} + 6 \, a x^{5} - 4 \, x^{6} - 4 \, a x^{3} + 6 \, x^{4} + a x - 4 \, x^{2} + 1}{b x - c}\right)^{\frac{1}{4}} + {\left(a^{3} b^{3} x^{2} - a^{3} b^{3}\right)} \left(\frac{50625 \, a^{12} c^{12} + 67500 \, a^{11} b c^{11} + {\left(1048576 \, a^{8} - 917504 \, a^{6} + 301056 \, a^{4} - 43904 \, a^{2} + 2401\right)} b^{12} + 4 \, {\left(1048576 \, a^{9} - 589824 \, a^{7} + 86016 \, a^{5} + 3136 \, a^{3} - 1029 \, a\right)} b^{11} c + 2 \, {\left(3145728 \, a^{10} - 1114112 \, a^{8} + 135168 \, a^{6} - 30912 \, a^{4} + 4753 \, a^{2}\right)} b^{10} c^{2} + 4 \, {\left(1048576 \, a^{11} - 917504 \, a^{9} + 454656 \, a^{7} - 79104 \, a^{5} + 2751 \, a^{3}\right)} b^{9} c^{3} + {\left(1048576 \, a^{12} - 7471104 \, a^{10} + 2297856 \, a^{8} - 40704 \, a^{6} - 15249 \, a^{4}\right)} b^{8} c^{4} - 200 \, {\left(32768 \, a^{11} - 6144 \, a^{9} + 1344 \, a^{7} - 243 \, a^{5}\right)} b^{7} c^{5} - 20 \, {\left(98304 \, a^{12} - 141312 \, a^{10} + 43712 \, a^{8} - 1579 \, a^{6}\right)} b^{6} c^{6} + 200 \, {\left(18432 \, a^{11} - 1664 \, a^{9} - 93 \, a^{7}\right)} b^{5} c^{7} + 25 \, {\left(55296 \, a^{12} - 12672 \, a^{10} + 3751 \, a^{8}\right)} b^{4} c^{8} - 1500 \, {\left(576 \, a^{11} - 41 \, a^{9}\right)} b^{3} c^{9} - 6750 \, {\left(64 \, a^{12} + a^{10}\right)} b^{2} c^{10}}{a^{11} b^{13}}\right)^{\frac{1}{4}}}{x^{2} - 1}\right) + 3 \, {\left(a^{2} b^{3} x^{2} - a^{2} b^{3}\right)} \left(\frac{50625 \, a^{12} c^{12} + 67500 \, a^{11} b c^{11} + {\left(1048576 \, a^{8} - 917504 \, a^{6} + 301056 \, a^{4} - 43904 \, a^{2} + 2401\right)} b^{12} + 4 \, {\left(1048576 \, a^{9} - 589824 \, a^{7} + 86016 \, a^{5} + 3136 \, a^{3} - 1029 \, a\right)} b^{11} c + 2 \, {\left(3145728 \, a^{10} - 1114112 \, a^{8} + 135168 \, a^{6} - 30912 \, a^{4} + 4753 \, a^{2}\right)} b^{10} c^{2} + 4 \, {\left(1048576 \, a^{11} - 917504 \, a^{9} + 454656 \, a^{7} - 79104 \, a^{5} + 2751 \, a^{3}\right)} b^{9} c^{3} + {\left(1048576 \, a^{12} - 7471104 \, a^{10} + 2297856 \, a^{8} - 40704 \, a^{6} - 15249 \, a^{4}\right)} b^{8} c^{4} - 200 \, {\left(32768 \, a^{11} - 6144 \, a^{9} + 1344 \, a^{7} - 243 \, a^{5}\right)} b^{7} c^{5} - 20 \, {\left(98304 \, a^{12} - 141312 \, a^{10} + 43712 \, a^{8} - 1579 \, a^{6}\right)} b^{6} c^{6} + 200 \, {\left(18432 \, a^{11} - 1664 \, a^{9} - 93 \, a^{7}\right)} b^{5} c^{7} + 25 \, {\left(55296 \, a^{12} - 12672 \, a^{10} + 3751 \, a^{8}\right)} b^{4} c^{8} - 1500 \, {\left(576 \, a^{11} - 41 \, a^{9}\right)} b^{3} c^{9} - 6750 \, {\left(64 \, a^{12} + a^{10}\right)} b^{2} c^{10}}{a^{11} b^{13}}\right)^{\frac{1}{4}} \log\left(\frac{{\left(15 \, a^{3} c^{3} + 5 \, a^{2} b c^{2} - {\left(32 \, a^{2} - 7\right)} b^{3} - {\left(32 \, a^{3} + 3 \, a\right)} b^{2} c\right)} \left(\frac{a x^{9} - 4 \, a x^{7} + x^{8} + 6 \, a x^{5} - 4 \, x^{6} - 4 \, a x^{3} + 6 \, x^{4} + a x - 4 \, x^{2} + 1}{b x - c}\right)^{\frac{1}{4}} - {\left(a^{3} b^{3} x^{2} - a^{3} b^{3}\right)} \left(\frac{50625 \, a^{12} c^{12} + 67500 \, a^{11} b c^{11} + {\left(1048576 \, a^{8} - 917504 \, a^{6} + 301056 \, a^{4} - 43904 \, a^{2} + 2401\right)} b^{12} + 4 \, {\left(1048576 \, a^{9} - 589824 \, a^{7} + 86016 \, a^{5} + 3136 \, a^{3} - 1029 \, a\right)} b^{11} c + 2 \, {\left(3145728 \, a^{10} - 1114112 \, a^{8} + 135168 \, a^{6} - 30912 \, a^{4} + 4753 \, a^{2}\right)} b^{10} c^{2} + 4 \, {\left(1048576 \, a^{11} - 917504 \, a^{9} + 454656 \, a^{7} - 79104 \, a^{5} + 2751 \, a^{3}\right)} b^{9} c^{3} + {\left(1048576 \, a^{12} - 7471104 \, a^{10} + 2297856 \, a^{8} - 40704 \, a^{6} - 15249 \, a^{4}\right)} b^{8} c^{4} - 200 \, {\left(32768 \, a^{11} - 6144 \, a^{9} + 1344 \, a^{7} - 243 \, a^{5}\right)} b^{7} c^{5} - 20 \, {\left(98304 \, a^{12} - 141312 \, a^{10} + 43712 \, a^{8} - 1579 \, a^{6}\right)} b^{6} c^{6} + 200 \, {\left(18432 \, a^{11} - 1664 \, a^{9} - 93 \, a^{7}\right)} b^{5} c^{7} + 25 \, {\left(55296 \, a^{12} - 12672 \, a^{10} + 3751 \, a^{8}\right)} b^{4} c^{8} - 1500 \, {\left(576 \, a^{11} - 41 \, a^{9}\right)} b^{3} c^{9} - 6750 \, {\left(64 \, a^{12} + a^{10}\right)} b^{2} c^{10}}{a^{11} b^{13}}\right)^{\frac{1}{4}}}{x^{2} - 1}\right) - 4 \, {\left(32 \, a^{2} b^{3} x^{3} - 45 \, a^{2} c^{3} + {\left(96 \, a^{2} + 7\right)} b^{2} c - 6 \, a b c^{2} + 4 \, {\left(a^{2} b^{2} c + a b^{3}\right)} x^{2} + {\left(9 \, a^{2} b c^{2} - {\left(96 \, a^{2} + 7\right)} b^{3} + 2 \, a b^{2} c\right)} x\right)} \left(\frac{a x^{9} - 4 \, a x^{7} + x^{8} + 6 \, a x^{5} - 4 \, x^{6} - 4 \, a x^{3} + 6 \, x^{4} + a x - 4 \, x^{2} + 1}{b x - c}\right)^{\frac{1}{4}}}{384 \, {\left(a^{2} b^{3} x^{2} - a^{2} b^{3}\right)}}"," ",0,"-1/384*(12*(a^2*b^3*x^2 - a^2*b^3)*((50625*a^12*c^12 + 67500*a^11*b*c^11 + (1048576*a^8 - 917504*a^6 + 301056*a^4 - 43904*a^2 + 2401)*b^12 + 4*(1048576*a^9 - 589824*a^7 + 86016*a^5 + 3136*a^3 - 1029*a)*b^11*c + 2*(3145728*a^10 - 1114112*a^8 + 135168*a^6 - 30912*a^4 + 4753*a^2)*b^10*c^2 + 4*(1048576*a^11 - 917504*a^9 + 454656*a^7 - 79104*a^5 + 2751*a^3)*b^9*c^3 + (1048576*a^12 - 7471104*a^10 + 2297856*a^8 - 40704*a^6 - 15249*a^4)*b^8*c^4 - 200*(32768*a^11 - 6144*a^9 + 1344*a^7 - 243*a^5)*b^7*c^5 - 20*(98304*a^12 - 141312*a^10 + 43712*a^8 - 1579*a^6)*b^6*c^6 + 200*(18432*a^11 - 1664*a^9 - 93*a^7)*b^5*c^7 + 25*(55296*a^12 - 12672*a^10 + 3751*a^8)*b^4*c^8 - 1500*(576*a^11 - 41*a^9)*b^3*c^9 - 6750*(64*a^12 + a^10)*b^2*c^10)/(a^11*b^13))^(1/4)*arctan(-((a^8*b^10*x^2 - a^8*b^10)*sqrt(((225*a^6*c^6 + 150*a^5*b*c^5 + (1024*a^4 - 448*a^2 + 49)*b^6 + 2*(1024*a^5 - 128*a^3 - 21*a)*b^5*c + (1024*a^6 - 128*a^4 + 79*a^2)*b^4*c^2 - 20*(64*a^5 - 9*a^3)*b^3*c^3 - 5*(192*a^6 + 13*a^4)*b^2*c^4)*sqrt((a*x^9 - 4*a*x^7 + x^8 + 6*a*x^5 - 4*x^6 - 4*a*x^3 + 6*x^4 + a*x - 4*x^2 + 1)/(b*x - c)) + (a^6*b^6*x^4 - 2*a^6*b^6*x^2 + a^6*b^6)*sqrt((50625*a^12*c^12 + 67500*a^11*b*c^11 + (1048576*a^8 - 917504*a^6 + 301056*a^4 - 43904*a^2 + 2401)*b^12 + 4*(1048576*a^9 - 589824*a^7 + 86016*a^5 + 3136*a^3 - 1029*a)*b^11*c + 2*(3145728*a^10 - 1114112*a^8 + 135168*a^6 - 30912*a^4 + 4753*a^2)*b^10*c^2 + 4*(1048576*a^11 - 917504*a^9 + 454656*a^7 - 79104*a^5 + 2751*a^3)*b^9*c^3 + (1048576*a^12 - 7471104*a^10 + 2297856*a^8 - 40704*a^6 - 15249*a^4)*b^8*c^4 - 200*(32768*a^11 - 6144*a^9 + 1344*a^7 - 243*a^5)*b^7*c^5 - 20*(98304*a^12 - 141312*a^10 + 43712*a^8 - 1579*a^6)*b^6*c^6 + 200*(18432*a^11 - 1664*a^9 - 93*a^7)*b^5*c^7 + 25*(55296*a^12 - 12672*a^10 + 3751*a^8)*b^4*c^8 - 1500*(576*a^11 - 41*a^9)*b^3*c^9 - 6750*(64*a^12 + a^10)*b^2*c^10)/(a^11*b^13)))/(x^4 - 2*x^2 + 1))*((50625*a^12*c^12 + 67500*a^11*b*c^11 + (1048576*a^8 - 917504*a^6 + 301056*a^4 - 43904*a^2 + 2401)*b^12 + 4*(1048576*a^9 - 589824*a^7 + 86016*a^5 + 3136*a^3 - 1029*a)*b^11*c + 2*(3145728*a^10 - 1114112*a^8 + 135168*a^6 - 30912*a^4 + 4753*a^2)*b^10*c^2 + 4*(1048576*a^11 - 917504*a^9 + 454656*a^7 - 79104*a^5 + 2751*a^3)*b^9*c^3 + (1048576*a^12 - 7471104*a^10 + 2297856*a^8 - 40704*a^6 - 15249*a^4)*b^8*c^4 - 200*(32768*a^11 - 6144*a^9 + 1344*a^7 - 243*a^5)*b^7*c^5 - 20*(98304*a^12 - 141312*a^10 + 43712*a^8 - 1579*a^6)*b^6*c^6 + 200*(18432*a^11 - 1664*a^9 - 93*a^7)*b^5*c^7 + 25*(55296*a^12 - 12672*a^10 + 3751*a^8)*b^4*c^8 - 1500*(576*a^11 - 41*a^9)*b^3*c^9 - 6750*(64*a^12 + a^10)*b^2*c^10)/(a^11*b^13))^(3/4) - (15*a^11*b^10*c^3 + 5*a^10*b^11*c^2 - (32*a^10 - 7*a^8)*b^13 - (32*a^11 + 3*a^9)*b^12*c)*((a*x^9 - 4*a*x^7 + x^8 + 6*a*x^5 - 4*x^6 - 4*a*x^3 + 6*x^4 + a*x - 4*x^2 + 1)/(b*x - c))^(1/4)*((50625*a^12*c^12 + 67500*a^11*b*c^11 + (1048576*a^8 - 917504*a^6 + 301056*a^4 - 43904*a^2 + 2401)*b^12 + 4*(1048576*a^9 - 589824*a^7 + 86016*a^5 + 3136*a^3 - 1029*a)*b^11*c + 2*(3145728*a^10 - 1114112*a^8 + 135168*a^6 - 30912*a^4 + 4753*a^2)*b^10*c^2 + 4*(1048576*a^11 - 917504*a^9 + 454656*a^7 - 79104*a^5 + 2751*a^3)*b^9*c^3 + (1048576*a^12 - 7471104*a^10 + 2297856*a^8 - 40704*a^6 - 15249*a^4)*b^8*c^4 - 200*(32768*a^11 - 6144*a^9 + 1344*a^7 - 243*a^5)*b^7*c^5 - 20*(98304*a^12 - 141312*a^10 + 43712*a^8 - 1579*a^6)*b^6*c^6 + 200*(18432*a^11 - 1664*a^9 - 93*a^7)*b^5*c^7 + 25*(55296*a^12 - 12672*a^10 + 3751*a^8)*b^4*c^8 - 1500*(576*a^11 - 41*a^9)*b^3*c^9 - 6750*(64*a^12 + a^10)*b^2*c^10)/(a^11*b^13))^(3/4))/(50625*a^12*c^12 + 67500*a^11*b*c^11 + (1048576*a^8 - 917504*a^6 + 301056*a^4 - 43904*a^2 + 2401)*b^12 + 4*(1048576*a^9 - 589824*a^7 + 86016*a^5 + 3136*a^3 - 1029*a)*b^11*c + 2*(3145728*a^10 - 1114112*a^8 + 135168*a^6 - 30912*a^4 + 4753*a^2)*b^10*c^2 + 4*(1048576*a^11 - 917504*a^9 + 454656*a^7 - 79104*a^5 + 2751*a^3)*b^9*c^3 + (1048576*a^12 - 7471104*a^10 + 2297856*a^8 - 40704*a^6 - 15249*a^4)*b^8*c^4 - 200*(32768*a^11 - 6144*a^9 + 1344*a^7 - 243*a^5)*b^7*c^5 - 20*(98304*a^12 - 141312*a^10 + 43712*a^8 - 1579*a^6)*b^6*c^6 + 200*(18432*a^11 - 1664*a^9 - 93*a^7)*b^5*c^7 + 25*(55296*a^12 - 12672*a^10 + 3751*a^8)*b^4*c^8 - 1500*(576*a^11 - 41*a^9)*b^3*c^9 - 6750*(64*a^12 + a^10)*b^2*c^10 - (50625*a^12*c^12 + 67500*a^11*b*c^11 + (1048576*a^8 - 917504*a^6 + 301056*a^4 - 43904*a^2 + 2401)*b^12 + 4*(1048576*a^9 - 589824*a^7 + 86016*a^5 + 3136*a^3 - 1029*a)*b^11*c + 2*(3145728*a^10 - 1114112*a^8 + 135168*a^6 - 30912*a^4 + 4753*a^2)*b^10*c^2 + 4*(1048576*a^11 - 917504*a^9 + 454656*a^7 - 79104*a^5 + 2751*a^3)*b^9*c^3 + (1048576*a^12 - 7471104*a^10 + 2297856*a^8 - 40704*a^6 - 15249*a^4)*b^8*c^4 - 200*(32768*a^11 - 6144*a^9 + 1344*a^7 - 243*a^5)*b^7*c^5 - 20*(98304*a^12 - 141312*a^10 + 43712*a^8 - 1579*a^6)*b^6*c^6 + 200*(18432*a^11 - 1664*a^9 - 93*a^7)*b^5*c^7 + 25*(55296*a^12 - 12672*a^10 + 3751*a^8)*b^4*c^8 - 1500*(576*a^11 - 41*a^9)*b^3*c^9 - 6750*(64*a^12 + a^10)*b^2*c^10)*x^2)) - 3*(a^2*b^3*x^2 - a^2*b^3)*((50625*a^12*c^12 + 67500*a^11*b*c^11 + (1048576*a^8 - 917504*a^6 + 301056*a^4 - 43904*a^2 + 2401)*b^12 + 4*(1048576*a^9 - 589824*a^7 + 86016*a^5 + 3136*a^3 - 1029*a)*b^11*c + 2*(3145728*a^10 - 1114112*a^8 + 135168*a^6 - 30912*a^4 + 4753*a^2)*b^10*c^2 + 4*(1048576*a^11 - 917504*a^9 + 454656*a^7 - 79104*a^5 + 2751*a^3)*b^9*c^3 + (1048576*a^12 - 7471104*a^10 + 2297856*a^8 - 40704*a^6 - 15249*a^4)*b^8*c^4 - 200*(32768*a^11 - 6144*a^9 + 1344*a^7 - 243*a^5)*b^7*c^5 - 20*(98304*a^12 - 141312*a^10 + 43712*a^8 - 1579*a^6)*b^6*c^6 + 200*(18432*a^11 - 1664*a^9 - 93*a^7)*b^5*c^7 + 25*(55296*a^12 - 12672*a^10 + 3751*a^8)*b^4*c^8 - 1500*(576*a^11 - 41*a^9)*b^3*c^9 - 6750*(64*a^12 + a^10)*b^2*c^10)/(a^11*b^13))^(1/4)*log(((15*a^3*c^3 + 5*a^2*b*c^2 - (32*a^2 - 7)*b^3 - (32*a^3 + 3*a)*b^2*c)*((a*x^9 - 4*a*x^7 + x^8 + 6*a*x^5 - 4*x^6 - 4*a*x^3 + 6*x^4 + a*x - 4*x^2 + 1)/(b*x - c))^(1/4) + (a^3*b^3*x^2 - a^3*b^3)*((50625*a^12*c^12 + 67500*a^11*b*c^11 + (1048576*a^8 - 917504*a^6 + 301056*a^4 - 43904*a^2 + 2401)*b^12 + 4*(1048576*a^9 - 589824*a^7 + 86016*a^5 + 3136*a^3 - 1029*a)*b^11*c + 2*(3145728*a^10 - 1114112*a^8 + 135168*a^6 - 30912*a^4 + 4753*a^2)*b^10*c^2 + 4*(1048576*a^11 - 917504*a^9 + 454656*a^7 - 79104*a^5 + 2751*a^3)*b^9*c^3 + (1048576*a^12 - 7471104*a^10 + 2297856*a^8 - 40704*a^6 - 15249*a^4)*b^8*c^4 - 200*(32768*a^11 - 6144*a^9 + 1344*a^7 - 243*a^5)*b^7*c^5 - 20*(98304*a^12 - 141312*a^10 + 43712*a^8 - 1579*a^6)*b^6*c^6 + 200*(18432*a^11 - 1664*a^9 - 93*a^7)*b^5*c^7 + 25*(55296*a^12 - 12672*a^10 + 3751*a^8)*b^4*c^8 - 1500*(576*a^11 - 41*a^9)*b^3*c^9 - 6750*(64*a^12 + a^10)*b^2*c^10)/(a^11*b^13))^(1/4))/(x^2 - 1)) + 3*(a^2*b^3*x^2 - a^2*b^3)*((50625*a^12*c^12 + 67500*a^11*b*c^11 + (1048576*a^8 - 917504*a^6 + 301056*a^4 - 43904*a^2 + 2401)*b^12 + 4*(1048576*a^9 - 589824*a^7 + 86016*a^5 + 3136*a^3 - 1029*a)*b^11*c + 2*(3145728*a^10 - 1114112*a^8 + 135168*a^6 - 30912*a^4 + 4753*a^2)*b^10*c^2 + 4*(1048576*a^11 - 917504*a^9 + 454656*a^7 - 79104*a^5 + 2751*a^3)*b^9*c^3 + (1048576*a^12 - 7471104*a^10 + 2297856*a^8 - 40704*a^6 - 15249*a^4)*b^8*c^4 - 200*(32768*a^11 - 6144*a^9 + 1344*a^7 - 243*a^5)*b^7*c^5 - 20*(98304*a^12 - 141312*a^10 + 43712*a^8 - 1579*a^6)*b^6*c^6 + 200*(18432*a^11 - 1664*a^9 - 93*a^7)*b^5*c^7 + 25*(55296*a^12 - 12672*a^10 + 3751*a^8)*b^4*c^8 - 1500*(576*a^11 - 41*a^9)*b^3*c^9 - 6750*(64*a^12 + a^10)*b^2*c^10)/(a^11*b^13))^(1/4)*log(((15*a^3*c^3 + 5*a^2*b*c^2 - (32*a^2 - 7)*b^3 - (32*a^3 + 3*a)*b^2*c)*((a*x^9 - 4*a*x^7 + x^8 + 6*a*x^5 - 4*x^6 - 4*a*x^3 + 6*x^4 + a*x - 4*x^2 + 1)/(b*x - c))^(1/4) - (a^3*b^3*x^2 - a^3*b^3)*((50625*a^12*c^12 + 67500*a^11*b*c^11 + (1048576*a^8 - 917504*a^6 + 301056*a^4 - 43904*a^2 + 2401)*b^12 + 4*(1048576*a^9 - 589824*a^7 + 86016*a^5 + 3136*a^3 - 1029*a)*b^11*c + 2*(3145728*a^10 - 1114112*a^8 + 135168*a^6 - 30912*a^4 + 4753*a^2)*b^10*c^2 + 4*(1048576*a^11 - 917504*a^9 + 454656*a^7 - 79104*a^5 + 2751*a^3)*b^9*c^3 + (1048576*a^12 - 7471104*a^10 + 2297856*a^8 - 40704*a^6 - 15249*a^4)*b^8*c^4 - 200*(32768*a^11 - 6144*a^9 + 1344*a^7 - 243*a^5)*b^7*c^5 - 20*(98304*a^12 - 141312*a^10 + 43712*a^8 - 1579*a^6)*b^6*c^6 + 200*(18432*a^11 - 1664*a^9 - 93*a^7)*b^5*c^7 + 25*(55296*a^12 - 12672*a^10 + 3751*a^8)*b^4*c^8 - 1500*(576*a^11 - 41*a^9)*b^3*c^9 - 6750*(64*a^12 + a^10)*b^2*c^10)/(a^11*b^13))^(1/4))/(x^2 - 1)) - 4*(32*a^2*b^3*x^3 - 45*a^2*c^3 + (96*a^2 + 7)*b^2*c - 6*a*b*c^2 + 4*(a^2*b^2*c + a*b^3)*x^2 + (9*a^2*b*c^2 - (96*a^2 + 7)*b^3 + 2*a*b^2*c)*x)*((a*x^9 - 4*a*x^7 + x^8 + 6*a*x^5 - 4*x^6 - 4*a*x^3 + 6*x^4 + a*x - 4*x^2 + 1)/(b*x - c))^(1/4))/(a^2*b^3*x^2 - a^2*b^3)","B",0
3123,1,396,0,0.741103," ","integrate((c+(a*x+(a^2*x^2-b)^(1/2))^(1/4))^(1/3),x, algorithm=""fricas"")","-\frac{18200 \, \sqrt{3} b {\left(c^{2}\right)}^{\frac{1}{6}} c \arctan\left(\frac{\sqrt{3} \sqrt{c^{2}} c + 2 \, \sqrt{3} {\left(c^{2}\right)}^{\frac{5}{6}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}}{3 \, c^{2}}\right) + 9100 \, b {\left(c^{2}\right)}^{\frac{2}{3}} \log\left({\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}} c + {\left(c^{2}\right)}^{\frac{1}{3}} c + {\left(c^{2}\right)}^{\frac{2}{3}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}\right) - 18200 \, b {\left(c^{2}\right)}^{\frac{2}{3}} \log\left({\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} c - {\left(c^{2}\right)}^{\frac{2}{3}}\right) + 3 \, {\left(19683 \, c^{9} - 70875 \, a c^{5} x + 2835 \, \sqrt{a^{2} x^{2} - b} c^{5} - 14 \, {\left(243 \, c^{6} + 650 \, a c^{2} x - 650 \, \sqrt{a^{2} x^{2} - b} c^{2}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} + 6 \, {\left(729 \, c^{7} + 910 \, a c^{3} x - 910 \, \sqrt{a^{2} x^{2} - b} c^{3}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} - 9 \, {\left(729 \, c^{8} + 455 \, a c^{4} x - 455 \, \sqrt{a^{2} x^{2} - b} c^{4}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}}{221130 \, a c^{5}}"," ",0,"-1/221130*(18200*sqrt(3)*b*(c^2)^(1/6)*c*arctan(1/3*(sqrt(3)*sqrt(c^2)*c + 2*sqrt(3)*(c^2)^(5/6)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3))/c^2) + 9100*b*(c^2)^(2/3)*log((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3)*c + (c^2)^(1/3)*c + (c^2)^(2/3)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)) - 18200*b*(c^2)^(2/3)*log((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)*c - (c^2)^(2/3)) + 3*(19683*c^9 - 70875*a*c^5*x + 2835*sqrt(a^2*x^2 - b)*c^5 - 14*(243*c^6 + 650*a*c^2*x - 650*sqrt(a^2*x^2 - b)*c^2)*(a*x + sqrt(a^2*x^2 - b))^(3/4) + 6*(729*c^7 + 910*a*c^3*x - 910*sqrt(a^2*x^2 - b)*c^3)*sqrt(a*x + sqrt(a^2*x^2 - b)) - 9*(729*c^8 + 455*a*c^4*x - 455*sqrt(a^2*x^2 - b)*c^4)*(a*x + sqrt(a^2*x^2 - b))^(1/4))*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3))/(a*c^5)","A",0
3124,1,50,0,0.621186," ","integrate((a*x+(a^2*x^2-b)^(1/2))^(1/4)/x/(a^2*x^2-b)^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{a^{2} x^{2} - b} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}}{a^{2} b x^{2} - b^{2}}"," ",0,"-sqrt(a^2*x^2 - b)*(a*x + sqrt(a^2*x^2 - b))^(1/4)/(a^2*b*x^2 - b^2)","A",0
3125,-1,0,0,0.000000," ","integrate(x*(2*_C3*x^3-_C4)/(_C3*x^3+_C4-x)/((_C3*x^3+_C0*x+_C4)/(_C3*x^3+_C1*x+_C4))^(1/3)/(_C3^2*x^6+2*_C3*_C4*x^3+_C3*x^4+_C4^2+_C4*x+x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3126,1,511,0,0.503737," ","integrate((c*x-d)*(a*x+(a^2*x^2+b^2)^(1/2))^(1/2)/(c*x+d),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, a c \sqrt{-\frac{a d^{3} + c^{3} \sqrt{\frac{b^{2} c^{2} d^{4} + a^{2} d^{6}}{c^{6}}}}{c^{3}}} \log\left(4 \, \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} d + 4 \, c \sqrt{-\frac{a d^{3} + c^{3} \sqrt{\frac{b^{2} c^{2} d^{4} + a^{2} d^{6}}{c^{6}}}}{c^{3}}}\right) - 3 \, a c \sqrt{-\frac{a d^{3} + c^{3} \sqrt{\frac{b^{2} c^{2} d^{4} + a^{2} d^{6}}{c^{6}}}}{c^{3}}} \log\left(4 \, \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} d - 4 \, c \sqrt{-\frac{a d^{3} + c^{3} \sqrt{\frac{b^{2} c^{2} d^{4} + a^{2} d^{6}}{c^{6}}}}{c^{3}}}\right) + 3 \, a c \sqrt{-\frac{a d^{3} - c^{3} \sqrt{\frac{b^{2} c^{2} d^{4} + a^{2} d^{6}}{c^{6}}}}{c^{3}}} \log\left(4 \, \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} d + 4 \, c \sqrt{-\frac{a d^{3} - c^{3} \sqrt{\frac{b^{2} c^{2} d^{4} + a^{2} d^{6}}{c^{6}}}}{c^{3}}}\right) - 3 \, a c \sqrt{-\frac{a d^{3} - c^{3} \sqrt{\frac{b^{2} c^{2} d^{4} + a^{2} d^{6}}{c^{6}}}}{c^{3}}} \log\left(4 \, \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} d - 4 \, c \sqrt{-\frac{a d^{3} - c^{3} \sqrt{\frac{b^{2} c^{2} d^{4} + a^{2} d^{6}}{c^{6}}}}{c^{3}}}\right) + {\left(2 \, a c x - 6 \, a d - \sqrt{a^{2} x^{2} + b^{2}} c\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}\right)}}{3 \, a c}"," ",0,"2/3*(3*a*c*sqrt(-(a*d^3 + c^3*sqrt((b^2*c^2*d^4 + a^2*d^6)/c^6))/c^3)*log(4*sqrt(a*x + sqrt(a^2*x^2 + b^2))*d + 4*c*sqrt(-(a*d^3 + c^3*sqrt((b^2*c^2*d^4 + a^2*d^6)/c^6))/c^3)) - 3*a*c*sqrt(-(a*d^3 + c^3*sqrt((b^2*c^2*d^4 + a^2*d^6)/c^6))/c^3)*log(4*sqrt(a*x + sqrt(a^2*x^2 + b^2))*d - 4*c*sqrt(-(a*d^3 + c^3*sqrt((b^2*c^2*d^4 + a^2*d^6)/c^6))/c^3)) + 3*a*c*sqrt(-(a*d^3 - c^3*sqrt((b^2*c^2*d^4 + a^2*d^6)/c^6))/c^3)*log(4*sqrt(a*x + sqrt(a^2*x^2 + b^2))*d + 4*c*sqrt(-(a*d^3 - c^3*sqrt((b^2*c^2*d^4 + a^2*d^6)/c^6))/c^3)) - 3*a*c*sqrt(-(a*d^3 - c^3*sqrt((b^2*c^2*d^4 + a^2*d^6)/c^6))/c^3)*log(4*sqrt(a*x + sqrt(a^2*x^2 + b^2))*d - 4*c*sqrt(-(a*d^3 - c^3*sqrt((b^2*c^2*d^4 + a^2*d^6)/c^6))/c^3)) + (2*a*c*x - 6*a*d - sqrt(a^2*x^2 + b^2)*c)*sqrt(a*x + sqrt(a^2*x^2 + b^2)))/(a*c)","A",0
3127,1,3627,0,0.593507," ","integrate((x/(a*x^7-3*a*x^5+x^6+3*a*x^3-3*x^4-a*x+3*x^2-1))^(1/3)/x^3,x, algorithm=""fricas"")","\left[\frac{5 \, \sqrt{3} {\left(a^{2} - 1\right)} x^{2} \sqrt{-\frac{1}{{\left(a - 1\right)}^{\frac{2}{3}}}} \log\left(-\frac{{\left(3 \, a - 2\right)} x + \sqrt{3} {\left({\left(a x^{3} - a x + x^{2} - 1\right)} {\left(a - 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - 2 \, {\left({\left(a^{2} - a\right)} x^{5} + {\left(a - 1\right)} x^{4} - 2 \, {\left(a^{2} - a\right)} x^{3} - 2 \, {\left(a - 1\right)} x^{2} + {\left(a^{2} - a\right)} x + a - 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{2}{3}} + {\left(a x + 1\right)} {\left(a - 1\right)}^{\frac{1}{3}}\right)} \sqrt{-\frac{1}{{\left(a - 1\right)}^{\frac{2}{3}}}} - 3 \, {\left(a x^{3} - a x + x^{2} - 1\right)} {\left(a - 1\right)}^{\frac{1}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + 1}{x + 1}\right) + 5 \, \sqrt{3} {\left(a^{2} - 1\right)} x^{2} \sqrt{-\frac{1}{{\left(a + 1\right)}^{\frac{2}{3}}}} \log\left(\frac{{\left(3 \, a + 2\right)} x + \sqrt{3} {\left({\left(a x^{3} - a x + x^{2} - 1\right)} {\left(a + 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - 2 \, {\left({\left(a^{2} + a\right)} x^{5} + {\left(a + 1\right)} x^{4} - 2 \, {\left(a^{2} + a\right)} x^{3} - 2 \, {\left(a + 1\right)} x^{2} + {\left(a^{2} + a\right)} x + a + 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{2}{3}} + {\left(a x + 1\right)} {\left(a + 1\right)}^{\frac{1}{3}}\right)} \sqrt{-\frac{1}{{\left(a + 1\right)}^{\frac{2}{3}}}} - 3 \, {\left(a x^{3} - a x + x^{2} - 1\right)} {\left(a + 1\right)}^{\frac{1}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + 1}{x - 1}\right) - 5 \, {\left(a + 1\right)}^{\frac{2}{3}} {\left(a - 1\right)} x^{2} \log\left({\left(x^{2} - 1\right)} {\left(a + 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + {\left({\left(a + 1\right)} x^{4} - 2 \, {\left(a + 1\right)} x^{2} + a + 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{2}{3}} + {\left(a + 1\right)}^{\frac{1}{3}}\right) - 5 \, {\left(a + 1\right)} {\left(a - 1\right)}^{\frac{2}{3}} x^{2} \log\left({\left(x^{2} - 1\right)} {\left(a - 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + {\left({\left(a - 1\right)} x^{4} - 2 \, {\left(a - 1\right)} x^{2} + a - 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{2}{3}} + {\left(a - 1\right)}^{\frac{1}{3}}\right) + 10 \, {\left(a + 1\right)}^{\frac{2}{3}} {\left(a - 1\right)} x^{2} \log\left({\left({\left(a + 1\right)} x^{2} - a - 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - {\left(a + 1\right)}^{\frac{2}{3}}\right) + 10 \, {\left(a + 1\right)} {\left(a - 1\right)}^{\frac{2}{3}} x^{2} \log\left({\left({\left(a - 1\right)} x^{2} - a + 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - {\left(a - 1\right)}^{\frac{2}{3}}\right) - 6 \, {\left(3 \, {\left(a^{4} - a^{2}\right)} x^{4} + {\left(a^{3} - a\right)} x^{3} - {\left(3 \, a^{4} - a^{2} - 2\right)} x^{2} + 2 \, a^{2} - {\left(a^{3} - a\right)} x - 2\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}}}{20 \, {\left(a^{2} - 1\right)} x^{2}}, \frac{5 \, \sqrt{3} {\left(a^{2} - 1\right)} x^{2} \sqrt{-\frac{1}{{\left(a - 1\right)}^{\frac{2}{3}}}} \log\left(-\frac{{\left(3 \, a - 2\right)} x + \sqrt{3} {\left({\left(a x^{3} - a x + x^{2} - 1\right)} {\left(a - 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - 2 \, {\left({\left(a^{2} - a\right)} x^{5} + {\left(a - 1\right)} x^{4} - 2 \, {\left(a^{2} - a\right)} x^{3} - 2 \, {\left(a - 1\right)} x^{2} + {\left(a^{2} - a\right)} x + a - 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{2}{3}} + {\left(a x + 1\right)} {\left(a - 1\right)}^{\frac{1}{3}}\right)} \sqrt{-\frac{1}{{\left(a - 1\right)}^{\frac{2}{3}}}} - 3 \, {\left(a x^{3} - a x + x^{2} - 1\right)} {\left(a - 1\right)}^{\frac{1}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + 1}{x + 1}\right) - 5 \, {\left(a + 1\right)}^{\frac{2}{3}} {\left(a - 1\right)} x^{2} \log\left({\left(x^{2} - 1\right)} {\left(a + 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + {\left({\left(a + 1\right)} x^{4} - 2 \, {\left(a + 1\right)} x^{2} + a + 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{2}{3}} + {\left(a + 1\right)}^{\frac{1}{3}}\right) - 5 \, {\left(a + 1\right)} {\left(a - 1\right)}^{\frac{2}{3}} x^{2} \log\left({\left(x^{2} - 1\right)} {\left(a - 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + {\left({\left(a - 1\right)} x^{4} - 2 \, {\left(a - 1\right)} x^{2} + a - 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{2}{3}} + {\left(a - 1\right)}^{\frac{1}{3}}\right) + 10 \, {\left(a + 1\right)}^{\frac{2}{3}} {\left(a - 1\right)} x^{2} \log\left({\left({\left(a + 1\right)} x^{2} - a - 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - {\left(a + 1\right)}^{\frac{2}{3}}\right) + 10 \, {\left(a + 1\right)} {\left(a - 1\right)}^{\frac{2}{3}} x^{2} \log\left({\left({\left(a - 1\right)} x^{2} - a + 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - {\left(a - 1\right)}^{\frac{2}{3}}\right) - \frac{10 \, \sqrt{3} {\left(a^{2} - 1\right)} x^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(x^{2} - 1\right)} {\left(a + 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + {\left(a + 1\right)}^{\frac{1}{3}}\right)}}{3 \, {\left(a + 1\right)}^{\frac{1}{3}}}\right)}{{\left(a + 1\right)}^{\frac{1}{3}}} - 6 \, {\left(3 \, {\left(a^{4} - a^{2}\right)} x^{4} + {\left(a^{3} - a\right)} x^{3} - {\left(3 \, a^{4} - a^{2} - 2\right)} x^{2} + 2 \, a^{2} - {\left(a^{3} - a\right)} x - 2\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}}}{20 \, {\left(a^{2} - 1\right)} x^{2}}, \frac{5 \, \sqrt{3} {\left(a^{2} - 1\right)} x^{2} \sqrt{-\frac{1}{{\left(a + 1\right)}^{\frac{2}{3}}}} \log\left(\frac{{\left(3 \, a + 2\right)} x + \sqrt{3} {\left({\left(a x^{3} - a x + x^{2} - 1\right)} {\left(a + 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - 2 \, {\left({\left(a^{2} + a\right)} x^{5} + {\left(a + 1\right)} x^{4} - 2 \, {\left(a^{2} + a\right)} x^{3} - 2 \, {\left(a + 1\right)} x^{2} + {\left(a^{2} + a\right)} x + a + 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{2}{3}} + {\left(a x + 1\right)} {\left(a + 1\right)}^{\frac{1}{3}}\right)} \sqrt{-\frac{1}{{\left(a + 1\right)}^{\frac{2}{3}}}} - 3 \, {\left(a x^{3} - a x + x^{2} - 1\right)} {\left(a + 1\right)}^{\frac{1}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + 1}{x - 1}\right) - 5 \, {\left(a + 1\right)}^{\frac{2}{3}} {\left(a - 1\right)} x^{2} \log\left({\left(x^{2} - 1\right)} {\left(a + 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + {\left({\left(a + 1\right)} x^{4} - 2 \, {\left(a + 1\right)} x^{2} + a + 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{2}{3}} + {\left(a + 1\right)}^{\frac{1}{3}}\right) - 5 \, {\left(a + 1\right)} {\left(a - 1\right)}^{\frac{2}{3}} x^{2} \log\left({\left(x^{2} - 1\right)} {\left(a - 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + {\left({\left(a - 1\right)} x^{4} - 2 \, {\left(a - 1\right)} x^{2} + a - 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{2}{3}} + {\left(a - 1\right)}^{\frac{1}{3}}\right) + 10 \, {\left(a + 1\right)}^{\frac{2}{3}} {\left(a - 1\right)} x^{2} \log\left({\left({\left(a + 1\right)} x^{2} - a - 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - {\left(a + 1\right)}^{\frac{2}{3}}\right) + 10 \, {\left(a + 1\right)} {\left(a - 1\right)}^{\frac{2}{3}} x^{2} \log\left({\left({\left(a - 1\right)} x^{2} - a + 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - {\left(a - 1\right)}^{\frac{2}{3}}\right) - \frac{10 \, \sqrt{3} {\left(a^{2} - 1\right)} x^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(x^{2} - 1\right)} {\left(a - 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + {\left(a - 1\right)}^{\frac{1}{3}}\right)}}{3 \, {\left(a - 1\right)}^{\frac{1}{3}}}\right)}{{\left(a - 1\right)}^{\frac{1}{3}}} - 6 \, {\left(3 \, {\left(a^{4} - a^{2}\right)} x^{4} + {\left(a^{3} - a\right)} x^{3} - {\left(3 \, a^{4} - a^{2} - 2\right)} x^{2} + 2 \, a^{2} - {\left(a^{3} - a\right)} x - 2\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}}}{20 \, {\left(a^{2} - 1\right)} x^{2}}, -\frac{5 \, {\left(a + 1\right)}^{\frac{2}{3}} {\left(a - 1\right)} x^{2} \log\left({\left(x^{2} - 1\right)} {\left(a + 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + {\left({\left(a + 1\right)} x^{4} - 2 \, {\left(a + 1\right)} x^{2} + a + 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{2}{3}} + {\left(a + 1\right)}^{\frac{1}{3}}\right) + 5 \, {\left(a + 1\right)} {\left(a - 1\right)}^{\frac{2}{3}} x^{2} \log\left({\left(x^{2} - 1\right)} {\left(a - 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + {\left({\left(a - 1\right)} x^{4} - 2 \, {\left(a - 1\right)} x^{2} + a - 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{2}{3}} + {\left(a - 1\right)}^{\frac{1}{3}}\right) - 10 \, {\left(a + 1\right)}^{\frac{2}{3}} {\left(a - 1\right)} x^{2} \log\left({\left({\left(a + 1\right)} x^{2} - a - 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - {\left(a + 1\right)}^{\frac{2}{3}}\right) - 10 \, {\left(a + 1\right)} {\left(a - 1\right)}^{\frac{2}{3}} x^{2} \log\left({\left({\left(a - 1\right)} x^{2} - a + 1\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} - {\left(a - 1\right)}^{\frac{2}{3}}\right) + \frac{10 \, \sqrt{3} {\left(a^{2} - 1\right)} x^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(x^{2} - 1\right)} {\left(a + 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + {\left(a + 1\right)}^{\frac{1}{3}}\right)}}{3 \, {\left(a + 1\right)}^{\frac{1}{3}}}\right)}{{\left(a + 1\right)}^{\frac{1}{3}}} + \frac{10 \, \sqrt{3} {\left(a^{2} - 1\right)} x^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(x^{2} - 1\right)} {\left(a - 1\right)}^{\frac{2}{3}} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}} + {\left(a - 1\right)}^{\frac{1}{3}}\right)}}{3 \, {\left(a - 1\right)}^{\frac{1}{3}}}\right)}{{\left(a - 1\right)}^{\frac{1}{3}}} + 6 \, {\left(3 \, {\left(a^{4} - a^{2}\right)} x^{4} + {\left(a^{3} - a\right)} x^{3} - {\left(3 \, a^{4} - a^{2} - 2\right)} x^{2} + 2 \, a^{2} - {\left(a^{3} - a\right)} x - 2\right)} \left(\frac{x}{a x^{7} - 3 \, a x^{5} + x^{6} + 3 \, a x^{3} - 3 \, x^{4} - a x + 3 \, x^{2} - 1}\right)^{\frac{1}{3}}}{20 \, {\left(a^{2} - 1\right)} x^{2}}\right]"," ",0,"[1/20*(5*sqrt(3)*(a^2 - 1)*x^2*sqrt(-1/(a - 1)^(2/3))*log(-((3*a - 2)*x + sqrt(3)*((a*x^3 - a*x + x^2 - 1)*(a - 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - 2*((a^2 - a)*x^5 + (a - 1)*x^4 - 2*(a^2 - a)*x^3 - 2*(a - 1)*x^2 + (a^2 - a)*x + a - 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(2/3) + (a*x + 1)*(a - 1)^(1/3))*sqrt(-1/(a - 1)^(2/3)) - 3*(a*x^3 - a*x + x^2 - 1)*(a - 1)^(1/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + 1)/(x + 1)) + 5*sqrt(3)*(a^2 - 1)*x^2*sqrt(-1/(a + 1)^(2/3))*log(((3*a + 2)*x + sqrt(3)*((a*x^3 - a*x + x^2 - 1)*(a + 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - 2*((a^2 + a)*x^5 + (a + 1)*x^4 - 2*(a^2 + a)*x^3 - 2*(a + 1)*x^2 + (a^2 + a)*x + a + 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(2/3) + (a*x + 1)*(a + 1)^(1/3))*sqrt(-1/(a + 1)^(2/3)) - 3*(a*x^3 - a*x + x^2 - 1)*(a + 1)^(1/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + 1)/(x - 1)) - 5*(a + 1)^(2/3)*(a - 1)*x^2*log((x^2 - 1)*(a + 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + ((a + 1)*x^4 - 2*(a + 1)*x^2 + a + 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(2/3) + (a + 1)^(1/3)) - 5*(a + 1)*(a - 1)^(2/3)*x^2*log((x^2 - 1)*(a - 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + ((a - 1)*x^4 - 2*(a - 1)*x^2 + a - 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(2/3) + (a - 1)^(1/3)) + 10*(a + 1)^(2/3)*(a - 1)*x^2*log(((a + 1)*x^2 - a - 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - (a + 1)^(2/3)) + 10*(a + 1)*(a - 1)^(2/3)*x^2*log(((a - 1)*x^2 - a + 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - (a - 1)^(2/3)) - 6*(3*(a^4 - a^2)*x^4 + (a^3 - a)*x^3 - (3*a^4 - a^2 - 2)*x^2 + 2*a^2 - (a^3 - a)*x - 2)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3))/((a^2 - 1)*x^2), 1/20*(5*sqrt(3)*(a^2 - 1)*x^2*sqrt(-1/(a - 1)^(2/3))*log(-((3*a - 2)*x + sqrt(3)*((a*x^3 - a*x + x^2 - 1)*(a - 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - 2*((a^2 - a)*x^5 + (a - 1)*x^4 - 2*(a^2 - a)*x^3 - 2*(a - 1)*x^2 + (a^2 - a)*x + a - 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(2/3) + (a*x + 1)*(a - 1)^(1/3))*sqrt(-1/(a - 1)^(2/3)) - 3*(a*x^3 - a*x + x^2 - 1)*(a - 1)^(1/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + 1)/(x + 1)) - 5*(a + 1)^(2/3)*(a - 1)*x^2*log((x^2 - 1)*(a + 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + ((a + 1)*x^4 - 2*(a + 1)*x^2 + a + 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(2/3) + (a + 1)^(1/3)) - 5*(a + 1)*(a - 1)^(2/3)*x^2*log((x^2 - 1)*(a - 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + ((a - 1)*x^4 - 2*(a - 1)*x^2 + a - 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(2/3) + (a - 1)^(1/3)) + 10*(a + 1)^(2/3)*(a - 1)*x^2*log(((a + 1)*x^2 - a - 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - (a + 1)^(2/3)) + 10*(a + 1)*(a - 1)^(2/3)*x^2*log(((a - 1)*x^2 - a + 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - (a - 1)^(2/3)) - 10*sqrt(3)*(a^2 - 1)*x^2*arctan(1/3*sqrt(3)*(2*(x^2 - 1)*(a + 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + (a + 1)^(1/3))/(a + 1)^(1/3))/(a + 1)^(1/3) - 6*(3*(a^4 - a^2)*x^4 + (a^3 - a)*x^3 - (3*a^4 - a^2 - 2)*x^2 + 2*a^2 - (a^3 - a)*x - 2)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3))/((a^2 - 1)*x^2), 1/20*(5*sqrt(3)*(a^2 - 1)*x^2*sqrt(-1/(a + 1)^(2/3))*log(((3*a + 2)*x + sqrt(3)*((a*x^3 - a*x + x^2 - 1)*(a + 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - 2*((a^2 + a)*x^5 + (a + 1)*x^4 - 2*(a^2 + a)*x^3 - 2*(a + 1)*x^2 + (a^2 + a)*x + a + 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(2/3) + (a*x + 1)*(a + 1)^(1/3))*sqrt(-1/(a + 1)^(2/3)) - 3*(a*x^3 - a*x + x^2 - 1)*(a + 1)^(1/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + 1)/(x - 1)) - 5*(a + 1)^(2/3)*(a - 1)*x^2*log((x^2 - 1)*(a + 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + ((a + 1)*x^4 - 2*(a + 1)*x^2 + a + 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(2/3) + (a + 1)^(1/3)) - 5*(a + 1)*(a - 1)^(2/3)*x^2*log((x^2 - 1)*(a - 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + ((a - 1)*x^4 - 2*(a - 1)*x^2 + a - 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(2/3) + (a - 1)^(1/3)) + 10*(a + 1)^(2/3)*(a - 1)*x^2*log(((a + 1)*x^2 - a - 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - (a + 1)^(2/3)) + 10*(a + 1)*(a - 1)^(2/3)*x^2*log(((a - 1)*x^2 - a + 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - (a - 1)^(2/3)) - 10*sqrt(3)*(a^2 - 1)*x^2*arctan(1/3*sqrt(3)*(2*(x^2 - 1)*(a - 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + (a - 1)^(1/3))/(a - 1)^(1/3))/(a - 1)^(1/3) - 6*(3*(a^4 - a^2)*x^4 + (a^3 - a)*x^3 - (3*a^4 - a^2 - 2)*x^2 + 2*a^2 - (a^3 - a)*x - 2)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3))/((a^2 - 1)*x^2), -1/20*(5*(a + 1)^(2/3)*(a - 1)*x^2*log((x^2 - 1)*(a + 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + ((a + 1)*x^4 - 2*(a + 1)*x^2 + a + 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(2/3) + (a + 1)^(1/3)) + 5*(a + 1)*(a - 1)^(2/3)*x^2*log((x^2 - 1)*(a - 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + ((a - 1)*x^4 - 2*(a - 1)*x^2 + a - 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(2/3) + (a - 1)^(1/3)) - 10*(a + 1)^(2/3)*(a - 1)*x^2*log(((a + 1)*x^2 - a - 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - (a + 1)^(2/3)) - 10*(a + 1)*(a - 1)^(2/3)*x^2*log(((a - 1)*x^2 - a + 1)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) - (a - 1)^(2/3)) + 10*sqrt(3)*(a^2 - 1)*x^2*arctan(1/3*sqrt(3)*(2*(x^2 - 1)*(a + 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + (a + 1)^(1/3))/(a + 1)^(1/3))/(a + 1)^(1/3) + 10*sqrt(3)*(a^2 - 1)*x^2*arctan(1/3*sqrt(3)*(2*(x^2 - 1)*(a - 1)^(2/3)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3) + (a - 1)^(1/3))/(a - 1)^(1/3))/(a - 1)^(1/3) + 6*(3*(a^4 - a^2)*x^4 + (a^3 - a)*x^3 - (3*a^4 - a^2 - 2)*x^2 + 2*a^2 - (a^3 - a)*x - 2)*(x/(a*x^7 - 3*a*x^5 + x^6 + 3*a*x^3 - 3*x^4 - a*x + 3*x^2 - 1))^(1/3))/((a^2 - 1)*x^2)]","A",0
3128,-1,0,0,0.000000," ","integrate(1/(a*b*c-(a*b*x+c)^2*(a*x^2+b*x+c)^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3129,1,80,0,0.566149," ","integrate((a*x+(a^2*x^2-b)^(1/2))^(1/4)/x^2/(a^2*x^2-b)^(3/2),x, algorithm=""fricas"")","\frac{{\left(2 \, a^{3} x^{3} - 2 \, a b x - {\left(2 \, a^{2} x^{2} - b\right)} \sqrt{a^{2} x^{2} - b}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}}{a^{2} b^{2} x^{3} - b^{3} x}"," ",0,"(2*a^3*x^3 - 2*a*b*x - (2*a^2*x^2 - b)*sqrt(a^2*x^2 - b))*(a*x + sqrt(a^2*x^2 - b))^(1/4)/(a^2*b^2*x^3 - b^3*x)","A",0
3130,-1,0,0,0.000000," ","integrate((x^2-1)*(_C4+((_C1*x+_C0)/(_C3*x+_C2))^(1/2)*_C5)^(1/2)/(x^2+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3131,1,1060,0,0.767240," ","integrate((a^2*x^2-b)^(1/2)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/3))^(1/4),x, algorithm=""fricas"")","\frac{2018940 \, a c^{6} \left(\frac{295147905179352825856 \, b^{4} c^{24} - 41802411741252943872 \, b^{5} c^{18} + 2220210947698458624 \, b^{6} c^{12} - 52408849122459648 \, b^{7} c^{6} + 463923394732161 \, b^{8}}{a^{4} c^{25}}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{{\left(5070602400912917605986812821504 \, b^{6} c^{36} - 1077239947935646847963781660672 \, b^{7} c^{30} + 95357334105860462596891607040 \, b^{8} c^{24} - 4501885860039249744793436160 \, b^{9} c^{18} + 119552148493435810464399360 \, b^{10} c^{12} - 1693241946893419178360832 \, b^{11} c^{6} + 9992390792252042651841 \, b^{12}\right)} \sqrt{c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}} + {\left(295147905179352825856 \, a^{2} b^{4} c^{37} - 41802411741252943872 \, a^{2} b^{5} c^{31} + 2220210947698458624 \, a^{2} b^{6} c^{25} - 52408849122459648 \, a^{2} b^{7} c^{19} + 463923394732161 \, a^{2} b^{8} c^{13}\right)} \sqrt{\frac{295147905179352825856 \, b^{4} c^{24} - 41802411741252943872 \, b^{5} c^{18} + 2220210947698458624 \, b^{6} c^{12} - 52408849122459648 \, b^{7} c^{6} + 463923394732161 \, b^{8}}{a^{4} c^{25}}}} a c^{6} \left(\frac{295147905179352825856 \, b^{4} c^{24} - 41802411741252943872 \, b^{5} c^{18} + 2220210947698458624 \, b^{6} c^{12} - 52408849122459648 \, b^{7} c^{6} + 463923394732161 \, b^{8}}{a^{4} c^{25}}\right)^{\frac{1}{4}} - {\left(2251799813685248 \, a b^{3} c^{24} - 239195318648832 \, a b^{4} c^{18} + 8469432631296 \, a b^{5} c^{12} - 99961946721 \, a b^{6} c^{6}\right)} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{1}{4}} \left(\frac{295147905179352825856 \, b^{4} c^{24} - 41802411741252943872 \, b^{5} c^{18} + 2220210947698458624 \, b^{6} c^{12} - 52408849122459648 \, b^{7} c^{6} + 463923394732161 \, b^{8}}{a^{4} c^{25}}\right)^{\frac{1}{4}}}{295147905179352825856 \, b^{4} c^{24} - 41802411741252943872 \, b^{5} c^{18} + 2220210947698458624 \, b^{6} c^{12} - 52408849122459648 \, b^{7} c^{6} + 463923394732161 \, b^{8}}\right) + 504735 \, a c^{6} \left(\frac{295147905179352825856 \, b^{4} c^{24} - 41802411741252943872 \, b^{5} c^{18} + 2220210947698458624 \, b^{6} c^{12} - 52408849122459648 \, b^{7} c^{6} + 463923394732161 \, b^{8}}{a^{4} c^{25}}\right)^{\frac{1}{4}} \log\left(27 \, a^{3} c^{19} \left(\frac{295147905179352825856 \, b^{4} c^{24} - 41802411741252943872 \, b^{5} c^{18} + 2220210947698458624 \, b^{6} c^{12} - 52408849122459648 \, b^{7} c^{6} + 463923394732161 \, b^{8}}{a^{4} c^{25}}\right)^{\frac{3}{4}} + 27 \, {\left(2251799813685248 \, b^{3} c^{18} - 239195318648832 \, b^{4} c^{12} + 8469432631296 \, b^{5} c^{6} - 99961946721 \, b^{6}\right)} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{1}{4}}\right) - 504735 \, a c^{6} \left(\frac{295147905179352825856 \, b^{4} c^{24} - 41802411741252943872 \, b^{5} c^{18} + 2220210947698458624 \, b^{6} c^{12} - 52408849122459648 \, b^{7} c^{6} + 463923394732161 \, b^{8}}{a^{4} c^{25}}\right)^{\frac{1}{4}} \log\left(-27 \, a^{3} c^{19} \left(\frac{295147905179352825856 \, b^{4} c^{24} - 41802411741252943872 \, b^{5} c^{18} + 2220210947698458624 \, b^{6} c^{12} - 52408849122459648 \, b^{7} c^{6} + 463923394732161 \, b^{8}}{a^{4} c^{25}}\right)^{\frac{3}{4}} + 27 \, {\left(2251799813685248 \, b^{3} c^{18} - 239195318648832 \, b^{4} c^{12} + 8469432631296 \, b^{5} c^{6} - 99961946721 \, b^{6}\right)} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{1}{4}}\right) - 4 \, {\left(2684354560 \, c^{11} + 2756526080 \, a^{2} c^{5} x^{2} - 1378263040 \, b c^{5} - 2464 \, {\left(655360 \, a c^{8} + 676039 \, a b c^{2}\right)} x + 21 \, {\left(83886080 \, c^{9} + 146440448 \, a^{2} c^{3} x^{2} - 73220224 \, b c^{3} - 1045 \, {\left(65536 \, a c^{6} + 106743 \, a b\right)} x - 209 \, {\left(327680 \, c^{6} + 700672 \, a c^{3} x - 533715 \, b\right)} \sqrt{a^{2} x^{2} - b}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{2}{3}} - 2464 \, {\left(655360 \, c^{8} + 1118720 \, a c^{5} x - 676039 \, b c^{2}\right)} \sqrt{a^{2} x^{2} - b} - 12 \, {\left(167772160 \, c^{10} + 241196032 \, a^{2} c^{4} x^{2} - 120598016 \, b c^{4} - 77 \, {\left(1638400 \, a c^{7} + 2028117 \, a b c\right)} x - 77 \, {\left(1638400 \, c^{7} + 3132416 \, a c^{4} x - 2028117 \, b c\right)} \sqrt{a^{2} x^{2} - b}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{3}{4}}}{44104417280 \, a c^{6}}"," ",0,"1/44104417280*(2018940*a*c^6*((295147905179352825856*b^4*c^24 - 41802411741252943872*b^5*c^18 + 2220210947698458624*b^6*c^12 - 52408849122459648*b^7*c^6 + 463923394732161*b^8)/(a^4*c^25))^(1/4)*arctan((sqrt((5070602400912917605986812821504*b^6*c^36 - 1077239947935646847963781660672*b^7*c^30 + 95357334105860462596891607040*b^8*c^24 - 4501885860039249744793436160*b^9*c^18 + 119552148493435810464399360*b^10*c^12 - 1693241946893419178360832*b^11*c^6 + 9992390792252042651841*b^12)*sqrt(c + (a*x + sqrt(a^2*x^2 - b))^(1/3)) + (295147905179352825856*a^2*b^4*c^37 - 41802411741252943872*a^2*b^5*c^31 + 2220210947698458624*a^2*b^6*c^25 - 52408849122459648*a^2*b^7*c^19 + 463923394732161*a^2*b^8*c^13)*sqrt((295147905179352825856*b^4*c^24 - 41802411741252943872*b^5*c^18 + 2220210947698458624*b^6*c^12 - 52408849122459648*b^7*c^6 + 463923394732161*b^8)/(a^4*c^25)))*a*c^6*((295147905179352825856*b^4*c^24 - 41802411741252943872*b^5*c^18 + 2220210947698458624*b^6*c^12 - 52408849122459648*b^7*c^6 + 463923394732161*b^8)/(a^4*c^25))^(1/4) - (2251799813685248*a*b^3*c^24 - 239195318648832*a*b^4*c^18 + 8469432631296*a*b^5*c^12 - 99961946721*a*b^6*c^6)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(1/4)*((295147905179352825856*b^4*c^24 - 41802411741252943872*b^5*c^18 + 2220210947698458624*b^6*c^12 - 52408849122459648*b^7*c^6 + 463923394732161*b^8)/(a^4*c^25))^(1/4))/(295147905179352825856*b^4*c^24 - 41802411741252943872*b^5*c^18 + 2220210947698458624*b^6*c^12 - 52408849122459648*b^7*c^6 + 463923394732161*b^8)) + 504735*a*c^6*((295147905179352825856*b^4*c^24 - 41802411741252943872*b^5*c^18 + 2220210947698458624*b^6*c^12 - 52408849122459648*b^7*c^6 + 463923394732161*b^8)/(a^4*c^25))^(1/4)*log(27*a^3*c^19*((295147905179352825856*b^4*c^24 - 41802411741252943872*b^5*c^18 + 2220210947698458624*b^6*c^12 - 52408849122459648*b^7*c^6 + 463923394732161*b^8)/(a^4*c^25))^(3/4) + 27*(2251799813685248*b^3*c^18 - 239195318648832*b^4*c^12 + 8469432631296*b^5*c^6 - 99961946721*b^6)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(1/4)) - 504735*a*c^6*((295147905179352825856*b^4*c^24 - 41802411741252943872*b^5*c^18 + 2220210947698458624*b^6*c^12 - 52408849122459648*b^7*c^6 + 463923394732161*b^8)/(a^4*c^25))^(1/4)*log(-27*a^3*c^19*((295147905179352825856*b^4*c^24 - 41802411741252943872*b^5*c^18 + 2220210947698458624*b^6*c^12 - 52408849122459648*b^7*c^6 + 463923394732161*b^8)/(a^4*c^25))^(3/4) + 27*(2251799813685248*b^3*c^18 - 239195318648832*b^4*c^12 + 8469432631296*b^5*c^6 - 99961946721*b^6)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(1/4)) - 4*(2684354560*c^11 + 2756526080*a^2*c^5*x^2 - 1378263040*b*c^5 - 2464*(655360*a*c^8 + 676039*a*b*c^2)*x + 21*(83886080*c^9 + 146440448*a^2*c^3*x^2 - 73220224*b*c^3 - 1045*(65536*a*c^6 + 106743*a*b)*x - 209*(327680*c^6 + 700672*a*c^3*x - 533715*b)*sqrt(a^2*x^2 - b))*(a*x + sqrt(a^2*x^2 - b))^(2/3) - 2464*(655360*c^8 + 1118720*a*c^5*x - 676039*b*c^2)*sqrt(a^2*x^2 - b) - 12*(167772160*c^10 + 241196032*a^2*c^4*x^2 - 120598016*b*c^4 - 77*(1638400*a*c^7 + 2028117*a*b*c)*x - 77*(1638400*c^7 + 3132416*a*c^4*x - 2028117*b*c)*sqrt(a^2*x^2 - b))*(a*x + sqrt(a^2*x^2 - b))^(1/3))*(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(3/4))/(a*c^6)","A",0
3132,1,1121,0,0.730931," ","integrate((a^2*x^2-b)^(1/2)/(a*x+(a^2*x^2-b)^(1/2))^(1/3)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/3))^(1/4),x, algorithm=""fricas"")","-\frac{87780 \, a b c^{7} \left(\frac{295147905179352825856 \, b^{4} c^{24} - 149294327647331942400 \, b^{5} c^{18} + 28319017190031360000 \, b^{6} c^{12} - 2387429351424000000 \, b^{7} c^{6} + 75476916312890625 \, b^{8}}{a^{4} c^{29}}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{{\left(5070602400912917605986812821504 \, b^{6} c^{36} - 3847285528341595885584934502400 \, b^{7} c^{30} + 1216292526860465084144025600000 \, b^{8} c^{24} - 205078619717531420590080000000 \, b^{9} c^{18} + 19450253230007648256000000000 \, b^{10} c^{12} - 983849936790090240000000000 \, b^{11} c^{6} + 20735820391713136962890625 \, b^{12}\right)} \sqrt{c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}} + {\left(295147905179352825856 \, a^{2} b^{4} c^{39} - 149294327647331942400 \, a^{2} b^{5} c^{33} + 28319017190031360000 \, a^{2} b^{6} c^{27} - 2387429351424000000 \, a^{2} b^{7} c^{21} + 75476916312890625 \, a^{2} b^{8} c^{15}\right)} \sqrt{\frac{295147905179352825856 \, b^{4} c^{24} - 149294327647331942400 \, b^{5} c^{18} + 28319017190031360000 \, b^{6} c^{12} - 2387429351424000000 \, b^{7} c^{6} + 75476916312890625 \, b^{8}}{a^{4} c^{29}}}} a c^{7} \left(\frac{295147905179352825856 \, b^{4} c^{24} - 149294327647331942400 \, b^{5} c^{18} + 28319017190031360000 \, b^{6} c^{12} - 2387429351424000000 \, b^{7} c^{6} + 75476916312890625 \, b^{8}}{a^{4} c^{29}}\right)^{\frac{1}{4}} - {\left(2251799813685248 \, a b^{3} c^{25} - 854268995174400 \, a b^{4} c^{19} + 108028477440000 \, a b^{5} c^{13} - 4553660109375 \, a b^{6} c^{7}\right)} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{1}{4}} \left(\frac{295147905179352825856 \, b^{4} c^{24} - 149294327647331942400 \, b^{5} c^{18} + 28319017190031360000 \, b^{6} c^{12} - 2387429351424000000 \, b^{7} c^{6} + 75476916312890625 \, b^{8}}{a^{4} c^{29}}\right)^{\frac{1}{4}}}{295147905179352825856 \, b^{4} c^{24} - 149294327647331942400 \, b^{5} c^{18} + 28319017190031360000 \, b^{6} c^{12} - 2387429351424000000 \, b^{7} c^{6} + 75476916312890625 \, b^{8}}\right) + 21945 \, a b c^{7} \left(\frac{295147905179352825856 \, b^{4} c^{24} - 149294327647331942400 \, b^{5} c^{18} + 28319017190031360000 \, b^{6} c^{12} - 2387429351424000000 \, b^{7} c^{6} + 75476916312890625 \, b^{8}}{a^{4} c^{29}}\right)^{\frac{1}{4}} \log\left(27 \, a^{3} c^{22} \left(\frac{295147905179352825856 \, b^{4} c^{24} - 149294327647331942400 \, b^{5} c^{18} + 28319017190031360000 \, b^{6} c^{12} - 2387429351424000000 \, b^{7} c^{6} + 75476916312890625 \, b^{8}}{a^{4} c^{29}}\right)^{\frac{3}{4}} + 27 \, {\left(2251799813685248 \, b^{3} c^{18} - 854268995174400 \, b^{4} c^{12} + 108028477440000 \, b^{5} c^{6} - 4553660109375 \, b^{6}\right)} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{1}{4}}\right) - 21945 \, a b c^{7} \left(\frac{295147905179352825856 \, b^{4} c^{24} - 149294327647331942400 \, b^{5} c^{18} + 28319017190031360000 \, b^{6} c^{12} - 2387429351424000000 \, b^{7} c^{6} + 75476916312890625 \, b^{8}}{a^{4} c^{29}}\right)^{\frac{1}{4}} \log\left(-27 \, a^{3} c^{22} \left(\frac{295147905179352825856 \, b^{4} c^{24} - 149294327647331942400 \, b^{5} c^{18} + 28319017190031360000 \, b^{6} c^{12} - 2387429351424000000 \, b^{7} c^{6} + 75476916312890625 \, b^{8}}{a^{4} c^{29}}\right)^{\frac{3}{4}} + 27 \, {\left(2251799813685248 \, b^{3} c^{18} - 854268995174400 \, b^{4} c^{12} + 108028477440000 \, b^{5} c^{6} - 4553660109375 \, b^{6}\right)} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{1}{4}}\right) - 4 \, {\left(536870912 \, b c^{11} + 428032000 \, a^{2} b c^{5} x^{2} - 214016000 \, b^{2} c^{5} - 2464 \, {\left(131072 \, a b c^{8} + 104975 \, a b^{2} c^{2}\right)} x - 3 \, {\left(273940480 \, a^{3} c^{6} x^{3} - 117440512 \, b c^{9} - 159174400 \, a^{2} b c^{3} x^{2} + 79587200 \, b^{2} c^{3} - 17765 \, {\left(65536 \, a b c^{6} - 6825 \, a b^{2}\right)} x - 1045 \, {\left(262144 \, a^{2} c^{6} x^{2} - 983040 \, b c^{6} - 152320 \, a b c^{3} x + 116025 \, b^{2}\right)} \sqrt{a^{2} x^{2} - b}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{2}{3}} - 352 \, {\left(917504 \, b c^{8} + 1216000 \, a b c^{5} x - 734825 \, b^{2} c^{2}\right)} \sqrt{a^{2} x^{2} - b} - 12 \, {\left(33554432 \, b c^{10} + 37452800 \, a^{2} b c^{4} x^{2} - 18726400 \, b^{2} c^{4} - 385 \, {\left(65536 \, a b c^{7} + 62985 \, a b^{2} c\right)} x - 385 \, {\left(65536 \, b c^{7} + 97280 \, a b c^{4} x - 62985 \, b^{2} c\right)} \sqrt{a^{2} x^{2} - b}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{3}{4}}}{7670333440 \, a b c^{7}}"," ",0,"-1/7670333440*(87780*a*b*c^7*((295147905179352825856*b^4*c^24 - 149294327647331942400*b^5*c^18 + 28319017190031360000*b^6*c^12 - 2387429351424000000*b^7*c^6 + 75476916312890625*b^8)/(a^4*c^29))^(1/4)*arctan((sqrt((5070602400912917605986812821504*b^6*c^36 - 3847285528341595885584934502400*b^7*c^30 + 1216292526860465084144025600000*b^8*c^24 - 205078619717531420590080000000*b^9*c^18 + 19450253230007648256000000000*b^10*c^12 - 983849936790090240000000000*b^11*c^6 + 20735820391713136962890625*b^12)*sqrt(c + (a*x + sqrt(a^2*x^2 - b))^(1/3)) + (295147905179352825856*a^2*b^4*c^39 - 149294327647331942400*a^2*b^5*c^33 + 28319017190031360000*a^2*b^6*c^27 - 2387429351424000000*a^2*b^7*c^21 + 75476916312890625*a^2*b^8*c^15)*sqrt((295147905179352825856*b^4*c^24 - 149294327647331942400*b^5*c^18 + 28319017190031360000*b^6*c^12 - 2387429351424000000*b^7*c^6 + 75476916312890625*b^8)/(a^4*c^29)))*a*c^7*((295147905179352825856*b^4*c^24 - 149294327647331942400*b^5*c^18 + 28319017190031360000*b^6*c^12 - 2387429351424000000*b^7*c^6 + 75476916312890625*b^8)/(a^4*c^29))^(1/4) - (2251799813685248*a*b^3*c^25 - 854268995174400*a*b^4*c^19 + 108028477440000*a*b^5*c^13 - 4553660109375*a*b^6*c^7)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(1/4)*((295147905179352825856*b^4*c^24 - 149294327647331942400*b^5*c^18 + 28319017190031360000*b^6*c^12 - 2387429351424000000*b^7*c^6 + 75476916312890625*b^8)/(a^4*c^29))^(1/4))/(295147905179352825856*b^4*c^24 - 149294327647331942400*b^5*c^18 + 28319017190031360000*b^6*c^12 - 2387429351424000000*b^7*c^6 + 75476916312890625*b^8)) + 21945*a*b*c^7*((295147905179352825856*b^4*c^24 - 149294327647331942400*b^5*c^18 + 28319017190031360000*b^6*c^12 - 2387429351424000000*b^7*c^6 + 75476916312890625*b^8)/(a^4*c^29))^(1/4)*log(27*a^3*c^22*((295147905179352825856*b^4*c^24 - 149294327647331942400*b^5*c^18 + 28319017190031360000*b^6*c^12 - 2387429351424000000*b^7*c^6 + 75476916312890625*b^8)/(a^4*c^29))^(3/4) + 27*(2251799813685248*b^3*c^18 - 854268995174400*b^4*c^12 + 108028477440000*b^5*c^6 - 4553660109375*b^6)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(1/4)) - 21945*a*b*c^7*((295147905179352825856*b^4*c^24 - 149294327647331942400*b^5*c^18 + 28319017190031360000*b^6*c^12 - 2387429351424000000*b^7*c^6 + 75476916312890625*b^8)/(a^4*c^29))^(1/4)*log(-27*a^3*c^22*((295147905179352825856*b^4*c^24 - 149294327647331942400*b^5*c^18 + 28319017190031360000*b^6*c^12 - 2387429351424000000*b^7*c^6 + 75476916312890625*b^8)/(a^4*c^29))^(3/4) + 27*(2251799813685248*b^3*c^18 - 854268995174400*b^4*c^12 + 108028477440000*b^5*c^6 - 4553660109375*b^6)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(1/4)) - 4*(536870912*b*c^11 + 428032000*a^2*b*c^5*x^2 - 214016000*b^2*c^5 - 2464*(131072*a*b*c^8 + 104975*a*b^2*c^2)*x - 3*(273940480*a^3*c^6*x^3 - 117440512*b*c^9 - 159174400*a^2*b*c^3*x^2 + 79587200*b^2*c^3 - 17765*(65536*a*b*c^6 - 6825*a*b^2)*x - 1045*(262144*a^2*c^6*x^2 - 983040*b*c^6 - 152320*a*b*c^3*x + 116025*b^2)*sqrt(a^2*x^2 - b))*(a*x + sqrt(a^2*x^2 - b))^(2/3) - 352*(917504*b*c^8 + 1216000*a*b*c^5*x - 734825*b^2*c^2)*sqrt(a^2*x^2 - b) - 12*(33554432*b*c^10 + 37452800*a^2*b*c^4*x^2 - 18726400*b^2*c^4 - 385*(65536*a*b*c^7 + 62985*a*b^2*c)*x - 385*(65536*b*c^7 + 97280*a*b*c^4*x - 62985*b^2*c)*sqrt(a^2*x^2 - b))*(a*x + sqrt(a^2*x^2 - b))^(1/3))*(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(3/4))/(a*b*c^7)","A",0
3133,1,246,0,0.753198," ","integrate((a*x^4+b)*(a*x^4-c*x^2-b)^(1/2)/(a*x^4-b)^2,x, algorithm=""fricas"")","\left[-\frac{4 \, \sqrt{a x^{4} - c x^{2} - b} c x + {\left(a x^{4} - b\right)} \sqrt{-c} \log\left(-\frac{a^{2} x^{8} - 8 \, a c x^{6} - 2 \, {\left(a b - 4 \, c^{2}\right)} x^{4} + 8 \, b c x^{2} + b^{2} - 4 \, {\left(a x^{5} - 2 \, c x^{3} - b x\right)} \sqrt{a x^{4} - c x^{2} - b} \sqrt{-c}}{a^{2} x^{8} - 2 \, a b x^{4} + b^{2}}\right)}{8 \, {\left(a c x^{4} - b c\right)}}, -\frac{2 \, \sqrt{a x^{4} - c x^{2} - b} c x + {\left(a x^{4} - b\right)} \sqrt{c} \arctan\left(\frac{2 \, \sqrt{a x^{4} - c x^{2} - b} \sqrt{c} x}{a x^{4} - 2 \, c x^{2} - b}\right)}{4 \, {\left(a c x^{4} - b c\right)}}\right]"," ",0,"[-1/8*(4*sqrt(a*x^4 - c*x^2 - b)*c*x + (a*x^4 - b)*sqrt(-c)*log(-(a^2*x^8 - 8*a*c*x^6 - 2*(a*b - 4*c^2)*x^4 + 8*b*c*x^2 + b^2 - 4*(a*x^5 - 2*c*x^3 - b*x)*sqrt(a*x^4 - c*x^2 - b)*sqrt(-c))/(a^2*x^8 - 2*a*b*x^4 + b^2)))/(a*c*x^4 - b*c), -1/4*(2*sqrt(a*x^4 - c*x^2 - b)*c*x + (a*x^4 - b)*sqrt(c)*arctan(2*sqrt(a*x^4 - c*x^2 - b)*sqrt(c)*x/(a*x^4 - 2*c*x^2 - b)))/(a*c*x^4 - b*c)]","A",0
3134,1,389,0,0.653493," ","integrate((-a-b*c+(1+c)*x)/((-a+x)*(-b+x)^2)^(2/3)/(a-b*d+(-1+d)*x),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} {\left(b c d + b d^{2} - {\left(c d + d^{2}\right)} x\right)} {\left(d^{2}\right)}^{\frac{1}{6}} \arctan\left(\frac{\sqrt{3} {\left(d^{2}\right)}^{\frac{1}{6}} {\left({\left(b d - d x\right)} {\left(d^{2}\right)}^{\frac{1}{3}} - 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(d^{2}\right)}^{\frac{2}{3}}\right)}}{3 \, {\left(b d^{2} - d^{2} x\right)}}\right) + {\left(b c + b d - {\left(c + d\right)} x\right)} {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(-\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(d^{2}\right)}^{\frac{2}{3}} {\left(b - x\right)} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d - {\left(b^{2} d - 2 \, b d x + d x^{2}\right)} {\left(d^{2}\right)}^{\frac{1}{3}}}{b^{2} - 2 \, b x + x^{2}}\right) - 2 \, {\left(b c + b d - {\left(c + d\right)} x\right)} {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(-\frac{{\left(d^{2}\right)}^{\frac{2}{3}} {\left(b - x\right)} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} d}{b - x}\right) + 6 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} d^{2}}{2 \, {\left({\left(a - b\right)} d^{2} x - {\left(a b - b^{2}\right)} d^{2}\right)}}"," ",0,"-1/2*(2*sqrt(3)*(b*c*d + b*d^2 - (c*d + d^2)*x)*(d^2)^(1/6)*arctan(1/3*sqrt(3)*(d^2)^(1/6)*((b*d - d*x)*(d^2)^(1/3) - 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(d^2)^(2/3))/(b*d^2 - d^2*x)) + (b*c + b*d - (c + d)*x)*(d^2)^(2/3)*log(-((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(d^2)^(2/3)*(b - x) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d - (b^2*d - 2*b*d*x + d*x^2)*(d^2)^(1/3))/(b^2 - 2*b*x + x^2)) - 2*(b*c + b*d - (c + d)*x)*(d^2)^(2/3)*log(-((d^2)^(2/3)*(b - x) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*d)/(b - x)) + 6*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*d^2)/((a - b)*d^2*x - (a*b - b^2)*d^2)","A",0
3135,1,976,0,0.701039," ","integrate((-a-b*c+(1+c)*x)/(-b+x)/((-a+x)*(-b+x)^2)^(1/3)/(a-b*d+(-1+d)*x),x, algorithm=""fricas"")","\left[-\frac{\sqrt{3} {\left(b^{2} c d + b^{2} d^{2} + {\left(c d + d^{2}\right)} x^{2} - 2 \, {\left(b c d + b d^{2}\right)} x\right)} \sqrt{-\frac{1}{d^{\frac{2}{3}}}} \log\left(-\frac{b^{2} d + {\left(d + 2\right)} x^{2} + 2 \, a b + 3 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(b - x\right)} d^{\frac{2}{3}} - 2 \, {\left(b d + a + b\right)} x + \sqrt{3} {\left({\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(b d - d x\right)} - {\left(b^{2} d - 2 \, b d x + d x^{2}\right)} d^{\frac{1}{3}} + 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d^{\frac{2}{3}}\right)} \sqrt{-\frac{1}{d^{\frac{2}{3}}}}}{b^{2} d + {\left(d - 1\right)} x^{2} - a b - {\left(2 \, b d - a - b\right)} x}\right) - {\left(b^{2} c + b^{2} d + {\left(c + d\right)} x^{2} - 2 \, {\left(b c + b d\right)} x\right)} d^{\frac{2}{3}} \log\left(-\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(b - x\right)} d^{\frac{1}{3}} - {\left(b^{2} - 2 \, b x + x^{2}\right)} d^{\frac{2}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}\right) + 2 \, {\left(b^{2} c + b^{2} d + {\left(c + d\right)} x^{2} - 2 \, {\left(b c + b d\right)} x\right)} d^{\frac{2}{3}} \log\left(-\frac{{\left(b - x\right)} d^{\frac{1}{3}} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}}}{b - x}\right) + 3 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d}{2 \, {\left({\left(a - b\right)} d x^{2} - 2 \, {\left(a b - b^{2}\right)} d x + {\left(a b^{2} - b^{3}\right)} d\right)}}, \frac{{\left(b^{2} c + b^{2} d + {\left(c + d\right)} x^{2} - 2 \, {\left(b c + b d\right)} x\right)} d^{\frac{2}{3}} \log\left(-\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(b - x\right)} d^{\frac{1}{3}} - {\left(b^{2} - 2 \, b x + x^{2}\right)} d^{\frac{2}{3}} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}\right) - 2 \, {\left(b^{2} c + b^{2} d + {\left(c + d\right)} x^{2} - 2 \, {\left(b c + b d\right)} x\right)} d^{\frac{2}{3}} \log\left(-\frac{{\left(b - x\right)} d^{\frac{1}{3}} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}}}{b - x}\right) - \frac{2 \, \sqrt{3} {\left(b^{2} c d + b^{2} d^{2} + {\left(c d + d^{2}\right)} x^{2} - 2 \, {\left(b c d + b d^{2}\right)} x\right)} \arctan\left(\frac{\sqrt{3} {\left({\left(b - x\right)} d^{\frac{1}{3}} - 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}}\right)}}{3 \, {\left(b - x\right)} d^{\frac{1}{3}}}\right)}{d^{\frac{1}{3}}} - 3 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d}{2 \, {\left({\left(a - b\right)} d x^{2} - 2 \, {\left(a b - b^{2}\right)} d x + {\left(a b^{2} - b^{3}\right)} d\right)}}\right]"," ",0,"[-1/2*(sqrt(3)*(b^2*c*d + b^2*d^2 + (c*d + d^2)*x^2 - 2*(b*c*d + b*d^2)*x)*sqrt(-1/d^(2/3))*log(-(b^2*d + (d + 2)*x^2 + 2*a*b + 3*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(b - x)*d^(2/3) - 2*(b*d + a + b)*x + sqrt(3)*((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(b*d - d*x) - (b^2*d - 2*b*d*x + d*x^2)*d^(1/3) + 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d^(2/3))*sqrt(-1/d^(2/3)))/(b^2*d + (d - 1)*x^2 - a*b - (2*b*d - a - b)*x)) - (b^2*c + b^2*d + (c + d)*x^2 - 2*(b*c + b*d)*x)*d^(2/3)*log(-((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(b - x)*d^(1/3) - (b^2 - 2*b*x + x^2)*d^(2/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3))/(b^2 - 2*b*x + x^2)) + 2*(b^2*c + b^2*d + (c + d)*x^2 - 2*(b*c + b*d)*x)*d^(2/3)*log(-((b - x)*d^(1/3) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3))/(b - x)) + 3*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d)/((a - b)*d*x^2 - 2*(a*b - b^2)*d*x + (a*b^2 - b^3)*d), 1/2*((b^2*c + b^2*d + (c + d)*x^2 - 2*(b*c + b*d)*x)*d^(2/3)*log(-((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(b - x)*d^(1/3) - (b^2 - 2*b*x + x^2)*d^(2/3) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3))/(b^2 - 2*b*x + x^2)) - 2*(b^2*c + b^2*d + (c + d)*x^2 - 2*(b*c + b*d)*x)*d^(2/3)*log(-((b - x)*d^(1/3) + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3))/(b - x)) - 2*sqrt(3)*(b^2*c*d + b^2*d^2 + (c*d + d^2)*x^2 - 2*(b*c*d + b*d^2)*x)*arctan(1/3*sqrt(3)*((b - x)*d^(1/3) - 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3))/((b - x)*d^(1/3)))/d^(1/3) - 3*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d)/((a - b)*d*x^2 - 2*(a*b - b^2)*d*x + (a*b^2 - b^3)*d)]","A",0
3136,1,160,0,25.028134," ","integrate((c*x^2+d)*(a*x+(a^2*x^2-b)^(1/2))^(5/4)/x/(a^2*x^2-b)^(5/2),x, algorithm=""fricas"")","\frac{{\left(a^{2} b^{2} d - 3 \, {\left(17 \, a^{6} d - 15 \, a^{4} b c\right)} x^{4} + 97 \, b^{3} c + 2 \, {\left(25 \, a^{4} b d - 71 \, a^{2} b^{2} c\right)} x^{2} + \sqrt{a^{2} x^{2} - b} {\left(3 \, {\left(17 \, a^{5} d - 15 \, a^{3} b c\right)} x^{3} - {\left(83 \, a^{3} b d - 13 \, a b^{2} c\right)} x\right)}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}}{96 \, {\left(a^{6} b^{2} x^{4} - 2 \, a^{4} b^{3} x^{2} + a^{2} b^{4}\right)}}"," ",0,"1/96*(a^2*b^2*d - 3*(17*a^6*d - 15*a^4*b*c)*x^4 + 97*b^3*c + 2*(25*a^4*b*d - 71*a^2*b^2*c)*x^2 + sqrt(a^2*x^2 - b)*(3*(17*a^5*d - 15*a^3*b*c)*x^3 - (83*a^3*b*d - 13*a*b^2*c)*x))*(a*x + sqrt(a^2*x^2 - b))^(1/4)/(a^6*b^2*x^4 - 2*a^4*b^3*x^2 + a^2*b^4)","A",0
3137,-1,0,0,0.000000," ","integrate(1/(_C4+((_C1*x+_C0)/(_C3*x+_C2))^(1/2)*_C5)^(1/2)/(_C7*x+_C6)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3138,-1,0,0,0.000000," ","integrate(((-b*x+1)/(c+x))^(1/6)*(d*x^2+1)/(b*x+1)/(c*x+1),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3139,1,617,0,0.706005," ","integrate((a^2*x^2-b)^(1/2)*(a*x+(a^2*x^2-b)^(1/2))^(3/4)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/4))^(2/3),x, algorithm=""fricas"")","\frac{3631868240 \, \sqrt{3} b^{2} c \sqrt{-\left(-c^{2}\right)^{\frac{1}{3}}} \arctan\left(-\frac{\sqrt{3} \left(-c^{2}\right)^{\frac{1}{3}} c \sqrt{-\left(-c^{2}\right)^{\frac{1}{3}}} - 2 \, \sqrt{3} \left(-c^{2}\right)^{\frac{2}{3}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} \sqrt{-\left(-c^{2}\right)^{\frac{1}{3}}}}{3 \, c^{2}}\right) + 1815934120 \, \left(-c^{2}\right)^{\frac{2}{3}} b^{2} \log\left({\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}} c - \left(-c^{2}\right)^{\frac{1}{3}} c + \left(-c^{2}\right)^{\frac{2}{3}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}\right) - 3631868240 \, \left(-c^{2}\right)^{\frac{2}{3}} b^{2} \log\left({\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} c - \left(-c^{2}\right)^{\frac{2}{3}}\right) + 3 \, {\left(3486784401 \, c^{17} + 641744532 \, a^{2} c^{9} x^{2} - 11373139206 \, b c^{9} + 567 \, {\left(885735 \, a c^{13} + 1179178 \, a b c^{5}\right)} x - 2 \, {\left(301327047 \, c^{14} + 573080508 \, a^{2} c^{6} x^{2} - 286540254 \, b c^{6} + 988 \, {\left(177147 \, a c^{10} + 918995 \, a b c^{2}\right)} x + 988 \, {\left(177147 \, c^{10} - 580041 \, a c^{6} x - 918995 \, b c^{2}\right)} \sqrt{a^{2} x^{2} - b}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} + 81 \, {\left(6200145 \, c^{13} + 7922772 \, a c^{9} x - 8254246 \, b c^{5}\right)} \sqrt{a^{2} x^{2} - b} + 6 \, {\left(129140163 \, c^{15} + 92432340 \, a^{2} c^{7} x^{2} - 455559390 \, b c^{7} + 364 \, {\left(177147 \, a c^{11} + 498883 \, a b c^{3}\right)} x + 364 \, {\left(177147 \, c^{11} + 253935 \, a c^{7} x - 498883 \, b c^{3}\right)} \sqrt{a^{2} x^{2} - b}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} - 9 \, {\left(129140163 \, c^{16} + 66023100 \, a^{2} c^{8} x^{2} - 442354770 \, b c^{8} + 91 \, {\left(531441 \, a c^{12} + 997766 \, a b c^{4}\right)} x + 13 \, {\left(3720087 \, c^{12} + 5078700 \, a c^{8} x - 6984362 \, b c^{4}\right)} \sqrt{a^{2} x^{2} - b}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}}{8596207620 \, a c^{7}}"," ",0,"1/8596207620*(3631868240*sqrt(3)*b^2*c*sqrt(-(-c^2)^(1/3))*arctan(-1/3*(sqrt(3)*(-c^2)^(1/3)*c*sqrt(-(-c^2)^(1/3)) - 2*sqrt(3)*(-c^2)^(2/3)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)*sqrt(-(-c^2)^(1/3)))/c^2) + 1815934120*(-c^2)^(2/3)*b^2*log((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3)*c - (-c^2)^(1/3)*c + (-c^2)^(2/3)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)) - 3631868240*(-c^2)^(2/3)*b^2*log((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)*c - (-c^2)^(2/3)) + 3*(3486784401*c^17 + 641744532*a^2*c^9*x^2 - 11373139206*b*c^9 + 567*(885735*a*c^13 + 1179178*a*b*c^5)*x - 2*(301327047*c^14 + 573080508*a^2*c^6*x^2 - 286540254*b*c^6 + 988*(177147*a*c^10 + 918995*a*b*c^2)*x + 988*(177147*c^10 - 580041*a*c^6*x - 918995*b*c^2)*sqrt(a^2*x^2 - b))*(a*x + sqrt(a^2*x^2 - b))^(3/4) + 81*(6200145*c^13 + 7922772*a*c^9*x - 8254246*b*c^5)*sqrt(a^2*x^2 - b) + 6*(129140163*c^15 + 92432340*a^2*c^7*x^2 - 455559390*b*c^7 + 364*(177147*a*c^11 + 498883*a*b*c^3)*x + 364*(177147*c^11 + 253935*a*c^7*x - 498883*b*c^3)*sqrt(a^2*x^2 - b))*sqrt(a*x + sqrt(a^2*x^2 - b)) - 9*(129140163*c^16 + 66023100*a^2*c^8*x^2 - 442354770*b*c^8 + 91*(531441*a*c^12 + 997766*a*b*c^4)*x + 13*(3720087*c^12 + 5078700*a*c^8*x - 6984362*b*c^4)*sqrt(a^2*x^2 - b))*(a*x + sqrt(a^2*x^2 - b))^(1/4))*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3))/(a*c^7)","A",0
3140,-1,0,0,0.000000," ","integrate((_C7*x+_C6)/(_C4+((_C1*x+_C0)/(_C3*x+_C2))^(1/2)*_C5)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3141,1,644,0,0.829944," ","integrate((a^2*x^2-b)^(1/2)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/4))^(2/3),x, algorithm=""fricas"")","\frac{304304 \, \sqrt{3} {\left(118098 \, b c^{9} - 21505 \, b^{2} c\right)} \sqrt{-\left(-c^{2}\right)^{\frac{1}{3}}} \arctan\left(-\frac{\sqrt{3} \left(-c^{2}\right)^{\frac{1}{3}} c \sqrt{-\left(-c^{2}\right)^{\frac{1}{3}}} - 2 \, \sqrt{3} \left(-c^{2}\right)^{\frac{2}{3}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} \sqrt{-\left(-c^{2}\right)^{\frac{1}{3}}}}{3 \, c^{2}}\right) + 152152 \, {\left(118098 \, b c^{8} - 21505 \, b^{2}\right)} \left(-c^{2}\right)^{\frac{2}{3}} \log\left({\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}} c - \left(-c^{2}\right)^{\frac{1}{3}} c + \left(-c^{2}\right)^{\frac{2}{3}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}\right) - 304304 \, {\left(118098 \, b c^{8} - 21505 \, b^{2}\right)} \left(-c^{2}\right)^{\frac{2}{3}} \log\left({\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} c - \left(-c^{2}\right)^{\frac{2}{3}}\right) - 3 \, {\left(8135830269 \, c^{17} + 1497403908 \, a^{2} c^{9} x^{2} - 748701954 \, b c^{9} + 567 \, {\left(2066715 \, a c^{13} + 2124694 \, a b c^{5}\right)} x - 2 \, {\left(703096443 \, c^{14} + 1032601284 \, a^{2} c^{6} x^{2} - 516300642 \, b c^{6} + 6916 \, {\left(59049 \, a c^{10} + 236555 \, a b c^{2}\right)} x + 988 \, {\left(413343 \, c^{10} - 1045143 \, a c^{6} x - 1655885 \, b c^{2}\right)} \sqrt{a^{2} x^{2} - b}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} + 567 \, {\left(2066715 \, c^{13} - 2640924 \, a c^{9} x - 2124694 \, b c^{5}\right)} \sqrt{a^{2} x^{2} - b} + 6 \, {\left(301327047 \, c^{15} + 303706260 \, a^{2} c^{7} x^{2} - 151853130 \, b c^{7} + 364 \, {\left(413343 \, a c^{11} + 898909 \, a b c^{3}\right)} x + 52 \, {\left(2893401 \, c^{11} - 5840505 \, a c^{7} x - 6292363 \, b c^{3}\right)} \sqrt{a^{2} x^{2} - b}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} - 9 \, {\left(301327047 \, c^{16} + 182223756 \, a^{2} c^{8} x^{2} - 91111878 \, b c^{8} + 91 \, {\left(1240029 \, a c^{12} + 1797818 \, a b c^{4}\right)} x + 13 \, {\left(8680203 \, c^{12} - 14017212 \, a c^{8} x - 12584726 \, b c^{4}\right)} \sqrt{a^{2} x^{2} - b}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}}{17968846896 \, a c^{10}}"," ",0,"1/17968846896*(304304*sqrt(3)*(118098*b*c^9 - 21505*b^2*c)*sqrt(-(-c^2)^(1/3))*arctan(-1/3*(sqrt(3)*(-c^2)^(1/3)*c*sqrt(-(-c^2)^(1/3)) - 2*sqrt(3)*(-c^2)^(2/3)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)*sqrt(-(-c^2)^(1/3)))/c^2) + 152152*(118098*b*c^8 - 21505*b^2)*(-c^2)^(2/3)*log((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3)*c - (-c^2)^(1/3)*c + (-c^2)^(2/3)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)) - 304304*(118098*b*c^8 - 21505*b^2)*(-c^2)^(2/3)*log((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)*c - (-c^2)^(2/3)) - 3*(8135830269*c^17 + 1497403908*a^2*c^9*x^2 - 748701954*b*c^9 + 567*(2066715*a*c^13 + 2124694*a*b*c^5)*x - 2*(703096443*c^14 + 1032601284*a^2*c^6*x^2 - 516300642*b*c^6 + 6916*(59049*a*c^10 + 236555*a*b*c^2)*x + 988*(413343*c^10 - 1045143*a*c^6*x - 1655885*b*c^2)*sqrt(a^2*x^2 - b))*(a*x + sqrt(a^2*x^2 - b))^(3/4) + 567*(2066715*c^13 - 2640924*a*c^9*x - 2124694*b*c^5)*sqrt(a^2*x^2 - b) + 6*(301327047*c^15 + 303706260*a^2*c^7*x^2 - 151853130*b*c^7 + 364*(413343*a*c^11 + 898909*a*b*c^3)*x + 52*(2893401*c^11 - 5840505*a*c^7*x - 6292363*b*c^3)*sqrt(a^2*x^2 - b))*sqrt(a*x + sqrt(a^2*x^2 - b)) - 9*(301327047*c^16 + 182223756*a^2*c^8*x^2 - 91111878*b*c^8 + 91*(1240029*a*c^12 + 1797818*a*b*c^4)*x + 13*(8680203*c^12 - 14017212*a*c^8*x - 12584726*b*c^4)*sqrt(a^2*x^2 - b))*(a*x + sqrt(a^2*x^2 - b))^(1/4))*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3))/(a*c^10)","A",0
3142,1,1193,0,0.758744," ","integrate((a^2*x^2+b)^(3/2)*(a*x+(a^2*x^2+b)^(1/2))^(1/2)*(c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{14549535 \, {\left(512 \, b^{3} c^{4} + 33 \, b^{4}\right)} \sqrt{c} \log\left(2 \, {\left(a \sqrt{c} x - \sqrt{a^{2} x^{2} + b} \sqrt{c}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}} - 2 \, {\left(a c x - \sqrt{a^{2} x^{2} + b} c\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} + b\right) + 2 \, {\left(469762048 \, c^{16} + 738017280 \, a^{4} c^{8} x^{4} + 4531421184 \, b c^{12} + 60891084800 \, b^{2} c^{8} - 219490128 \, b^{3} c^{4} + 33792 \, {\left(12544 \, a^{3} c^{10} + 20995 \, a^{3} b c^{6}\right)} x^{3} + 32 \, {\left(8028160 \, a^{2} c^{12} + 98309120 \, a^{2} b c^{8} - 13718133 \, a^{2} b^{2} c^{4}\right)} x^{2} + 6 \, {\left(29360128 \, a c^{14} + 328171520 \, a b c^{10} + 916389760 \, a b^{2} c^{6} + 53348295 \, a b^{3} c^{2}\right)} x + 2 \, {\left(88080384 \, c^{14} + 369008640 \, a^{3} c^{8} x^{3} + 878542848 \, b c^{10} - 2571803520 \, b^{2} c^{6} - 160044885 \, b^{3} c^{2} + 16896 \, {\left(12544 \, a^{2} c^{10} - 20995 \, a^{2} b c^{6}\right)} x^{2} + 16 \, {\left(8028160 \, a c^{12} + 86777600 \, a b c^{8} + 13718133 \, a b^{2} c^{4}\right)} x\right)} \sqrt{a^{2} x^{2} + b} - {\left(234881024 \, c^{15} + 4480819200 \, a^{4} c^{7} x^{4} + 2317090816 \, b c^{11} - 50005263360 \, b^{2} c^{7} - 256071816 \, b^{3} c^{3} + 219648 \, {\left(1792 \, a^{3} c^{9} + 3553 \, a^{3} b c^{5}\right)} x^{3} + 48 \, {\left(4816896 \, a^{2} c^{11} + 469580800 \, a^{2} b c^{7} - 10669659 \, a^{2} b^{2} c^{3}\right)} x^{2} + {\left(146800640 \, a c^{13} + 1671135232 \, a b c^{9} + 8034668928 \, a b^{2} c^{5} + 480134655 \, a b^{3} c\right)} x + {\left(146800640 \, c^{13} - 29573406720 \, a^{3} c^{7} x^{3} + 1474330624 \, b c^{9} - 7644464256 \, b^{2} c^{5} - 480134655 \, b^{3} c + 219648 \, {\left(1792 \, a^{2} c^{9} - 3553 \, a^{2} b c^{5}\right)} x^{2} + 48 \, {\left(4816896 \, a c^{11} - 1587239680 \, a b c^{7} + 10669659 \, a b^{2} c^{3}\right)} x\right)} \sqrt{a^{2} x^{2} + b}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{238379581440 \, a c^{7}}, \frac{14549535 \, {\left(512 \, b^{3} c^{4} + 33 \, b^{4}\right)} \sqrt{-c} \arctan\left(\frac{\sqrt{-c} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{c}\right) + {\left(469762048 \, c^{16} + 738017280 \, a^{4} c^{8} x^{4} + 4531421184 \, b c^{12} + 60891084800 \, b^{2} c^{8} - 219490128 \, b^{3} c^{4} + 33792 \, {\left(12544 \, a^{3} c^{10} + 20995 \, a^{3} b c^{6}\right)} x^{3} + 32 \, {\left(8028160 \, a^{2} c^{12} + 98309120 \, a^{2} b c^{8} - 13718133 \, a^{2} b^{2} c^{4}\right)} x^{2} + 6 \, {\left(29360128 \, a c^{14} + 328171520 \, a b c^{10} + 916389760 \, a b^{2} c^{6} + 53348295 \, a b^{3} c^{2}\right)} x + 2 \, {\left(88080384 \, c^{14} + 369008640 \, a^{3} c^{8} x^{3} + 878542848 \, b c^{10} - 2571803520 \, b^{2} c^{6} - 160044885 \, b^{3} c^{2} + 16896 \, {\left(12544 \, a^{2} c^{10} - 20995 \, a^{2} b c^{6}\right)} x^{2} + 16 \, {\left(8028160 \, a c^{12} + 86777600 \, a b c^{8} + 13718133 \, a b^{2} c^{4}\right)} x\right)} \sqrt{a^{2} x^{2} + b} - {\left(234881024 \, c^{15} + 4480819200 \, a^{4} c^{7} x^{4} + 2317090816 \, b c^{11} - 50005263360 \, b^{2} c^{7} - 256071816 \, b^{3} c^{3} + 219648 \, {\left(1792 \, a^{3} c^{9} + 3553 \, a^{3} b c^{5}\right)} x^{3} + 48 \, {\left(4816896 \, a^{2} c^{11} + 469580800 \, a^{2} b c^{7} - 10669659 \, a^{2} b^{2} c^{3}\right)} x^{2} + {\left(146800640 \, a c^{13} + 1671135232 \, a b c^{9} + 8034668928 \, a b^{2} c^{5} + 480134655 \, a b^{3} c\right)} x + {\left(146800640 \, c^{13} - 29573406720 \, a^{3} c^{7} x^{3} + 1474330624 \, b c^{9} - 7644464256 \, b^{2} c^{5} - 480134655 \, b^{3} c + 219648 \, {\left(1792 \, a^{2} c^{9} - 3553 \, a^{2} b c^{5}\right)} x^{2} + 48 \, {\left(4816896 \, a c^{11} - 1587239680 \, a b c^{7} + 10669659 \, a b^{2} c^{3}\right)} x\right)} \sqrt{a^{2} x^{2} + b}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}}\right)} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{119189790720 \, a c^{7}}\right]"," ",0,"[1/238379581440*(14549535*(512*b^3*c^4 + 33*b^4)*sqrt(c)*log(2*(a*sqrt(c)*x - sqrt(a^2*x^2 + b)*sqrt(c))*sqrt(a*x + sqrt(a^2*x^2 + b))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b))) - 2*(a*c*x - sqrt(a^2*x^2 + b)*c)*sqrt(a*x + sqrt(a^2*x^2 + b)) + b) + 2*(469762048*c^16 + 738017280*a^4*c^8*x^4 + 4531421184*b*c^12 + 60891084800*b^2*c^8 - 219490128*b^3*c^4 + 33792*(12544*a^3*c^10 + 20995*a^3*b*c^6)*x^3 + 32*(8028160*a^2*c^12 + 98309120*a^2*b*c^8 - 13718133*a^2*b^2*c^4)*x^2 + 6*(29360128*a*c^14 + 328171520*a*b*c^10 + 916389760*a*b^2*c^6 + 53348295*a*b^3*c^2)*x + 2*(88080384*c^14 + 369008640*a^3*c^8*x^3 + 878542848*b*c^10 - 2571803520*b^2*c^6 - 160044885*b^3*c^2 + 16896*(12544*a^2*c^10 - 20995*a^2*b*c^6)*x^2 + 16*(8028160*a*c^12 + 86777600*a*b*c^8 + 13718133*a*b^2*c^4)*x)*sqrt(a^2*x^2 + b) - (234881024*c^15 + 4480819200*a^4*c^7*x^4 + 2317090816*b*c^11 - 50005263360*b^2*c^7 - 256071816*b^3*c^3 + 219648*(1792*a^3*c^9 + 3553*a^3*b*c^5)*x^3 + 48*(4816896*a^2*c^11 + 469580800*a^2*b*c^7 - 10669659*a^2*b^2*c^3)*x^2 + (146800640*a*c^13 + 1671135232*a*b*c^9 + 8034668928*a*b^2*c^5 + 480134655*a*b^3*c)*x + (146800640*c^13 - 29573406720*a^3*c^7*x^3 + 1474330624*b*c^9 - 7644464256*b^2*c^5 - 480134655*b^3*c + 219648*(1792*a^2*c^9 - 3553*a^2*b*c^5)*x^2 + 48*(4816896*a*c^11 - 1587239680*a*b*c^7 + 10669659*a*b^2*c^3)*x)*sqrt(a^2*x^2 + b))*sqrt(a*x + sqrt(a^2*x^2 + b)))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b))))/(a*c^7), 1/119189790720*(14549535*(512*b^3*c^4 + 33*b^4)*sqrt(-c)*arctan(sqrt(-c)*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))/c) + (469762048*c^16 + 738017280*a^4*c^8*x^4 + 4531421184*b*c^12 + 60891084800*b^2*c^8 - 219490128*b^3*c^4 + 33792*(12544*a^3*c^10 + 20995*a^3*b*c^6)*x^3 + 32*(8028160*a^2*c^12 + 98309120*a^2*b*c^8 - 13718133*a^2*b^2*c^4)*x^2 + 6*(29360128*a*c^14 + 328171520*a*b*c^10 + 916389760*a*b^2*c^6 + 53348295*a*b^3*c^2)*x + 2*(88080384*c^14 + 369008640*a^3*c^8*x^3 + 878542848*b*c^10 - 2571803520*b^2*c^6 - 160044885*b^3*c^2 + 16896*(12544*a^2*c^10 - 20995*a^2*b*c^6)*x^2 + 16*(8028160*a*c^12 + 86777600*a*b*c^8 + 13718133*a*b^2*c^4)*x)*sqrt(a^2*x^2 + b) - (234881024*c^15 + 4480819200*a^4*c^7*x^4 + 2317090816*b*c^11 - 50005263360*b^2*c^7 - 256071816*b^3*c^3 + 219648*(1792*a^3*c^9 + 3553*a^3*b*c^5)*x^3 + 48*(4816896*a^2*c^11 + 469580800*a^2*b*c^7 - 10669659*a^2*b^2*c^3)*x^2 + (146800640*a*c^13 + 1671135232*a*b*c^9 + 8034668928*a*b^2*c^5 + 480134655*a*b^3*c)*x + (146800640*c^13 - 29573406720*a^3*c^7*x^3 + 1474330624*b*c^9 - 7644464256*b^2*c^5 - 480134655*b^3*c + 219648*(1792*a^2*c^9 - 3553*a^2*b*c^5)*x^2 + 48*(4816896*a*c^11 - 1587239680*a*b*c^7 + 10669659*a*b^2*c^3)*x)*sqrt(a^2*x^2 + b))*sqrt(a*x + sqrt(a^2*x^2 + b)))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b))))/(a*c^7)]","A",0
3143,1,719,0,0.707420," ","integrate((a^2*x^2-b)^(1/2)*(c+(a*x+(a^2*x^2-b)^(1/2))^(1/4))^(1/3)/(a*x+(a^2*x^2-b)^(1/2))^(1/4),x, algorithm=""fricas"")","\frac{304304 \, \sqrt{3} {\left(1062882 \, b^{2} c^{9} - 21505 \, b^{3} c\right)} \sqrt{-\left(-c^{2}\right)^{\frac{1}{3}}} \arctan\left(-\frac{\sqrt{3} \left(-c^{2}\right)^{\frac{1}{3}} c \sqrt{-\left(-c^{2}\right)^{\frac{1}{3}}} - 2 \, \sqrt{3} \left(-c^{2}\right)^{\frac{2}{3}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} \sqrt{-\left(-c^{2}\right)^{\frac{1}{3}}}}{3 \, c^{2}}\right) + 152152 \, {\left(1062882 \, b^{2} c^{8} - 21505 \, b^{3}\right)} \left(-c^{2}\right)^{\frac{2}{3}} \log\left({\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}} c - \left(-c^{2}\right)^{\frac{1}{3}} c + \left(-c^{2}\right)^{\frac{2}{3}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}\right) - 304304 \, {\left(1062882 \, b^{2} c^{8} - 21505 \, b^{3}\right)} \left(-c^{2}\right)^{\frac{2}{3}} \log\left({\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}} c - \left(-c^{2}\right)^{\frac{2}{3}}\right) + 3 \, {\left(10460353203 \, b c^{17} - 1497403908 \, a^{2} b c^{9} x^{2} + 748701954 \, b^{2} c^{9} + 567 \, {\left(2657205 \, a b c^{13} - 2124694 \, a b^{2} c^{5}\right)} x - 2 \, {\left(35937693792 \, a^{3} c^{10} x^{3} + 903981141 \, b c^{14} - 1032601284 \, a^{2} b c^{6} x^{2} + 516300642 \, b^{2} c^{6} - 6916 \, {\left(28874961 \, a b c^{10} + 236555 \, a b^{2} c^{2}\right)} x - 988 \, {\left(36374184 \, a^{2} c^{10} x^{2} - 161617113 \, b c^{10} - 1045143 \, a b c^{6} x - 1655885 \, b^{2} c^{2}\right)} \sqrt{a^{2} x^{2} - b}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}} + 567 \, {\left(2657205 \, b c^{13} + 2640924 \, a b c^{9} x + 2124694 \, b^{2} c^{5}\right)} \sqrt{a^{2} x^{2} - b} + 6 \, {\left(387420489 \, b c^{15} - 303706260 \, a^{2} b c^{7} x^{2} + 151853130 \, b^{2} c^{7} + 364 \, {\left(531441 \, a b c^{11} - 898909 \, a b^{2} c^{3}\right)} x + 52 \, {\left(3720087 \, b c^{11} + 5840505 \, a b c^{7} x + 6292363 \, b^{2} c^{3}\right)} \sqrt{a^{2} x^{2} - b}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} - 9 \, {\left(387420489 \, b c^{16} - 182223756 \, a^{2} b c^{8} x^{2} + 91111878 \, b^{2} c^{8} + 91 \, {\left(1594323 \, a b c^{12} - 1797818 \, a b^{2} c^{4}\right)} x + 13 \, {\left(11160261 \, b c^{12} + 14017212 \, a b c^{8} x + 12584726 \, b^{2} c^{4}\right)} \sqrt{a^{2} x^{2} - b}\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}}{485158866192 \, a b c^{10}}"," ",0,"1/485158866192*(304304*sqrt(3)*(1062882*b^2*c^9 - 21505*b^3*c)*sqrt(-(-c^2)^(1/3))*arctan(-1/3*(sqrt(3)*(-c^2)^(1/3)*c*sqrt(-(-c^2)^(1/3)) - 2*sqrt(3)*(-c^2)^(2/3)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)*sqrt(-(-c^2)^(1/3)))/c^2) + 152152*(1062882*b^2*c^8 - 21505*b^3)*(-c^2)^(2/3)*log((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3)*c - (-c^2)^(1/3)*c + (-c^2)^(2/3)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)) - 304304*(1062882*b^2*c^8 - 21505*b^3)*(-c^2)^(2/3)*log((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)*c - (-c^2)^(2/3)) + 3*(10460353203*b*c^17 - 1497403908*a^2*b*c^9*x^2 + 748701954*b^2*c^9 + 567*(2657205*a*b*c^13 - 2124694*a*b^2*c^5)*x - 2*(35937693792*a^3*c^10*x^3 + 903981141*b*c^14 - 1032601284*a^2*b*c^6*x^2 + 516300642*b^2*c^6 - 6916*(28874961*a*b*c^10 + 236555*a*b^2*c^2)*x - 988*(36374184*a^2*c^10*x^2 - 161617113*b*c^10 - 1045143*a*b*c^6*x - 1655885*b^2*c^2)*sqrt(a^2*x^2 - b))*(a*x + sqrt(a^2*x^2 - b))^(3/4) + 567*(2657205*b*c^13 + 2640924*a*b*c^9*x + 2124694*b^2*c^5)*sqrt(a^2*x^2 - b) + 6*(387420489*b*c^15 - 303706260*a^2*b*c^7*x^2 + 151853130*b^2*c^7 + 364*(531441*a*b*c^11 - 898909*a*b^2*c^3)*x + 52*(3720087*b*c^11 + 5840505*a*b*c^7*x + 6292363*b^2*c^3)*sqrt(a^2*x^2 - b))*sqrt(a*x + sqrt(a^2*x^2 - b)) - 9*(387420489*b*c^16 - 182223756*a^2*b*c^8*x^2 + 91111878*b^2*c^8 + 91*(1594323*a*b*c^12 - 1797818*a*b^2*c^4)*x + 13*(11160261*b*c^12 + 14017212*a*b*c^8*x + 12584726*b^2*c^4)*sqrt(a^2*x^2 - b))*(a*x + sqrt(a^2*x^2 - b))^(1/4))*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3))/(a*b*c^10)","A",0
3144,-1,0,0,0.000000," ","integrate((a^2*x^2+a*b*c-b^2*x)/(a*x^2+b*x+c)^(1/2)/(b*x^2+c)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3145,-1,0,0,0.000000," ","integrate((a*x^2+b^2)^2*(b+(a*x^2+b^2)^(1/2))^(1/2)/(a*x^2-b^2)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3146,-1,0,0,0.000000," ","integrate((a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(c*x+d)^2/(a^2*x^4+b)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3147,1,473,0,0.646219," ","integrate((-b-a*c+(1+c)*x)/(-a+x)/((-a+x)*(-b+x)^2)^(1/3)/(b-a*d+(-1+d)*x),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} {\left(a b c d + a b d^{2} + {\left(c d + d^{2}\right)} x^{2} - {\left({\left(a + b\right)} c d + {\left(a + b\right)} d^{2}\right)} x\right)} \sqrt{-\left(-d^{2}\right)^{\frac{1}{3}}} \arctan\left(-\frac{\sqrt{3} {\left(\left(-d^{2}\right)^{\frac{1}{3}} {\left(b - x\right)} + 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} d\right)} \sqrt{-\left(-d^{2}\right)^{\frac{1}{3}}}}{3 \, {\left(b d - d x\right)}}\right) + 6 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d^{2} - {\left(a b c + a b d + {\left(c + d\right)} x^{2} - {\left({\left(a + b\right)} c + {\left(a + b\right)} d\right)} x\right)} \left(-d^{2}\right)^{\frac{2}{3}} \log\left(\frac{{\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} d^{2} + {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(b d - d x\right)} \left(-d^{2}\right)^{\frac{1}{3}} + {\left(b^{2} - 2 \, b x + x^{2}\right)} \left(-d^{2}\right)^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}\right) + 2 \, {\left(a b c + a b d + {\left(c + d\right)} x^{2} - {\left({\left(a + b\right)} c + {\left(a + b\right)} d\right)} x\right)} \left(-d^{2}\right)^{\frac{2}{3}} \log\left(\frac{\left(-d^{2}\right)^{\frac{1}{3}} {\left(b - x\right)} - {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} d}{b - x}\right)}{2 \, {\left({\left(a - b\right)} d^{2} x^{2} - {\left(a^{2} - b^{2}\right)} d^{2} x + {\left(a^{2} b - a b^{2}\right)} d^{2}\right)}}"," ",0,"1/2*(2*sqrt(3)*(a*b*c*d + a*b*d^2 + (c*d + d^2)*x^2 - ((a + b)*c*d + (a + b)*d^2)*x)*sqrt(-(-d^2)^(1/3))*arctan(-1/3*sqrt(3)*((-d^2)^(1/3)*(b - x) + 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*d)*sqrt(-(-d^2)^(1/3))/(b*d - d*x)) + 6*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d^2 - (a*b*c + a*b*d + (c + d)*x^2 - ((a + b)*c + (a + b)*d)*x)*(-d^2)^(2/3)*log(((-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3)*d^2 + (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(b*d - d*x)*(-d^2)^(1/3) + (b^2 - 2*b*x + x^2)*(-d^2)^(2/3))/(b^2 - 2*b*x + x^2)) + 2*(a*b*c + a*b*d + (c + d)*x^2 - ((a + b)*c + (a + b)*d)*x)*(-d^2)^(2/3)*log(((-d^2)^(1/3)*(b - x) - (-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*d)/(b - x)))/((a - b)*d^2*x^2 - (a^2 - b^2)*d^2*x + (a^2*b - a*b^2)*d^2)","A",0
3148,1,11598,0,1.459005," ","integrate((-a-b*c+(1+c)*x)/((-a+x)*(-b+x)^2)^(1/3)/(-a^2+b^2*d+2*(-b*d+a)*x+(-1+d)*x^2),x, algorithm=""fricas"")","-\sqrt{3} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} + c^{3} + 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, {\left(\sqrt{3} {\left({\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c d^{2} x - {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c d^{2}\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} + \sqrt{3} {\left(3 \, {\left(a b - b^{2}\right)} c^{2} d + {\left(a b - b^{2}\right)} d^{2} - {\left(3 \, {\left(a - b\right)} c^{2} d + {\left(a - b\right)} d^{2}\right)} x\right)}\right)} \sqrt{\frac{{\left(18 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{9} d^{2} - 24 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{7} d^{3} - 4 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{5} d^{4} + 8 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{3} d^{5} + 2 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c d^{6} - 2 \, {\left(9 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{9} d^{2} - 12 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{7} d^{3} - 2 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{5} d^{4} + 4 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{3} d^{5} + {\left(a^{2} - 2 \, a b + b^{2}\right)} c d^{6}\right)} x - {\left(3 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{8} d^{3} - 2 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{6} d^{4} - 4 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{4} d^{5} + 2 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{2} d^{6} + {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} d^{7} - {\left(3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{8} d^{3} - 2 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{6} d^{4} - 4 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{4} d^{5} + 2 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{2} d^{6} + {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d^{7}\right)} x\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} + c^{3} + 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}} + {\left(9 \, c^{12} - 30 \, c^{10} d + 31 \, c^{8} d^{2} - 4 \, c^{6} d^{3} - 9 \, c^{4} d^{4} + 2 \, c^{2} d^{5} + d^{6}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} - {\left(9 \, {\left(a b^{2} - b^{3}\right)} c^{11} d - 21 \, {\left(a b^{2} - b^{3}\right)} c^{9} d^{2} + 10 \, {\left(a b^{2} - b^{3}\right)} c^{7} d^{3} + 6 \, {\left(a b^{2} - b^{3}\right)} c^{5} d^{4} - 3 \, {\left(a b^{2} - b^{3}\right)} c^{3} d^{5} - {\left(a b^{2} - b^{3}\right)} c d^{6} + {\left(9 \, {\left(a - b\right)} c^{11} d - 21 \, {\left(a - b\right)} c^{9} d^{2} + 10 \, {\left(a - b\right)} c^{7} d^{3} + 6 \, {\left(a - b\right)} c^{5} d^{4} - 3 \, {\left(a - b\right)} c^{3} d^{5} - {\left(a - b\right)} c d^{6}\right)} x^{2} - 2 \, {\left(9 \, {\left(a b - b^{2}\right)} c^{11} d - 21 \, {\left(a b - b^{2}\right)} c^{9} d^{2} + 10 \, {\left(a b - b^{2}\right)} c^{7} d^{3} + 6 \, {\left(a b - b^{2}\right)} c^{5} d^{4} - 3 \, {\left(a b - b^{2}\right)} c^{3} d^{5} - {\left(a b - b^{2}\right)} c d^{6}\right)} x - {\left(3 \, {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{8} d^{3} - 8 \, {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{6} d^{4} + 6 \, {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{4} d^{5} - {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} d^{7} + {\left(3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{8} d^{3} - 8 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{6} d^{4} + 6 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{4} d^{5} - {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d^{7}\right)} x^{2} - 2 \, {\left(3 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{8} d^{3} - 8 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{6} d^{4} + 6 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{4} d^{5} - {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} d^{7}\right)} x\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}}\right)} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} + c^{3} + 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}}}{b^{2} - 2 \, b x + x^{2}}} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} + c^{3} + 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} - 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(\sqrt{3} {\left(3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{7} d^{2} - 5 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{5} d^{3} + {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{3} d^{4} + {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c d^{5}\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} - \sqrt{3} {\left(9 \, {\left(a - b\right)} c^{8} d - 12 \, {\left(a - b\right)} c^{6} d^{2} - 2 \, {\left(a - b\right)} c^{4} d^{3} + 4 \, {\left(a - b\right)} c^{2} d^{4} + {\left(a - b\right)} d^{5}\right)}\right)} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} + c^{3} + 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} - \sqrt{3} {\left(9 \, b c^{10} - 21 \, b c^{8} d + 10 \, b c^{6} d^{2} + 6 \, b c^{4} d^{3} - 3 \, b c^{2} d^{4} - b d^{5} - {\left(9 \, c^{10} - 21 \, c^{8} d + 10 \, c^{6} d^{2} + 6 \, c^{4} d^{3} - 3 \, c^{2} d^{4} - d^{5}\right)} x\right)}}{3 \, {\left(9 \, b c^{10} - 21 \, b c^{8} d + 10 \, b c^{6} d^{2} + 6 \, b c^{4} d^{3} - 3 \, b c^{2} d^{4} - b d^{5} - {\left(9 \, c^{10} - 21 \, c^{8} d + 10 \, c^{6} d^{2} + 6 \, c^{4} d^{3} - 3 \, c^{2} d^{4} - d^{5}\right)} x\right)}}\right) + \sqrt{3} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} - c^{3} - 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, {\left(\sqrt{3} {\left({\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c d^{2} x - {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c d^{2}\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} - \sqrt{3} {\left(3 \, {\left(a b - b^{2}\right)} c^{2} d + {\left(a b - b^{2}\right)} d^{2} - {\left(3 \, {\left(a - b\right)} c^{2} d + {\left(a - b\right)} d^{2}\right)} x\right)}\right)} \sqrt{\frac{{\left(18 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{9} d^{2} - 24 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{7} d^{3} - 4 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{5} d^{4} + 8 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{3} d^{5} + 2 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c d^{6} - 2 \, {\left(9 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{9} d^{2} - 12 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{7} d^{3} - 2 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{5} d^{4} + 4 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{3} d^{5} + {\left(a^{2} - 2 \, a b + b^{2}\right)} c d^{6}\right)} x + {\left(3 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{8} d^{3} - 2 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{6} d^{4} - 4 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{4} d^{5} + 2 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{2} d^{6} + {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} d^{7} - {\left(3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{8} d^{3} - 2 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{6} d^{4} - 4 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{4} d^{5} + 2 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{2} d^{6} + {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d^{7}\right)} x\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} - c^{3} - 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}} + {\left(9 \, c^{12} - 30 \, c^{10} d + 31 \, c^{8} d^{2} - 4 \, c^{6} d^{3} - 9 \, c^{4} d^{4} + 2 \, c^{2} d^{5} + d^{6}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} - {\left(9 \, {\left(a b^{2} - b^{3}\right)} c^{11} d - 21 \, {\left(a b^{2} - b^{3}\right)} c^{9} d^{2} + 10 \, {\left(a b^{2} - b^{3}\right)} c^{7} d^{3} + 6 \, {\left(a b^{2} - b^{3}\right)} c^{5} d^{4} - 3 \, {\left(a b^{2} - b^{3}\right)} c^{3} d^{5} - {\left(a b^{2} - b^{3}\right)} c d^{6} + {\left(9 \, {\left(a - b\right)} c^{11} d - 21 \, {\left(a - b\right)} c^{9} d^{2} + 10 \, {\left(a - b\right)} c^{7} d^{3} + 6 \, {\left(a - b\right)} c^{5} d^{4} - 3 \, {\left(a - b\right)} c^{3} d^{5} - {\left(a - b\right)} c d^{6}\right)} x^{2} - 2 \, {\left(9 \, {\left(a b - b^{2}\right)} c^{11} d - 21 \, {\left(a b - b^{2}\right)} c^{9} d^{2} + 10 \, {\left(a b - b^{2}\right)} c^{7} d^{3} + 6 \, {\left(a b - b^{2}\right)} c^{5} d^{4} - 3 \, {\left(a b - b^{2}\right)} c^{3} d^{5} - {\left(a b - b^{2}\right)} c d^{6}\right)} x + {\left(3 \, {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{8} d^{3} - 8 \, {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{6} d^{4} + 6 \, {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{4} d^{5} - {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} d^{7} + {\left(3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{8} d^{3} - 8 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{6} d^{4} + 6 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{4} d^{5} - {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d^{7}\right)} x^{2} - 2 \, {\left(3 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{8} d^{3} - 8 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{6} d^{4} + 6 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{4} d^{5} - {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} d^{7}\right)} x\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}}\right)} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} - c^{3} - 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}}}{b^{2} - 2 \, b x + x^{2}}} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} - c^{3} - 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} - 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(\sqrt{3} {\left(3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{7} d^{2} - 5 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{5} d^{3} + {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{3} d^{4} + {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c d^{5}\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} + \sqrt{3} {\left(9 \, {\left(a - b\right)} c^{8} d - 12 \, {\left(a - b\right)} c^{6} d^{2} - 2 \, {\left(a - b\right)} c^{4} d^{3} + 4 \, {\left(a - b\right)} c^{2} d^{4} + {\left(a - b\right)} d^{5}\right)}\right)} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} - c^{3} - 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} + \sqrt{3} {\left(9 \, b c^{10} - 21 \, b c^{8} d + 10 \, b c^{6} d^{2} + 6 \, b c^{4} d^{3} - 3 \, b c^{2} d^{4} - b d^{5} - {\left(9 \, c^{10} - 21 \, c^{8} d + 10 \, c^{6} d^{2} + 6 \, c^{4} d^{3} - 3 \, c^{2} d^{4} - d^{5}\right)} x\right)}}{3 \, {\left(9 \, b c^{10} - 21 \, b c^{8} d + 10 \, b c^{6} d^{2} + 6 \, b c^{4} d^{3} - 3 \, b c^{2} d^{4} - b d^{5} - {\left(9 \, c^{10} - 21 \, c^{8} d + 10 \, c^{6} d^{2} + 6 \, c^{4} d^{3} - 3 \, c^{2} d^{4} - d^{5}\right)} x\right)}}\right) - \frac{1}{4} \, \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} + c^{3} + 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(18 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{9} d^{2} - 24 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{7} d^{3} - 4 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{5} d^{4} + 8 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{3} d^{5} + 2 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c d^{6} - 2 \, {\left(9 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{9} d^{2} - 12 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{7} d^{3} - 2 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{5} d^{4} + 4 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{3} d^{5} + {\left(a^{2} - 2 \, a b + b^{2}\right)} c d^{6}\right)} x - {\left(3 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{8} d^{3} - 2 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{6} d^{4} - 4 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{4} d^{5} + 2 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{2} d^{6} + {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} d^{7} - {\left(3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{8} d^{3} - 2 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{6} d^{4} - 4 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{4} d^{5} + 2 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{2} d^{6} + {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d^{7}\right)} x\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} + c^{3} + 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}} + {\left(9 \, c^{12} - 30 \, c^{10} d + 31 \, c^{8} d^{2} - 4 \, c^{6} d^{3} - 9 \, c^{4} d^{4} + 2 \, c^{2} d^{5} + d^{6}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} - {\left(9 \, {\left(a b^{2} - b^{3}\right)} c^{11} d - 21 \, {\left(a b^{2} - b^{3}\right)} c^{9} d^{2} + 10 \, {\left(a b^{2} - b^{3}\right)} c^{7} d^{3} + 6 \, {\left(a b^{2} - b^{3}\right)} c^{5} d^{4} - 3 \, {\left(a b^{2} - b^{3}\right)} c^{3} d^{5} - {\left(a b^{2} - b^{3}\right)} c d^{6} + {\left(9 \, {\left(a - b\right)} c^{11} d - 21 \, {\left(a - b\right)} c^{9} d^{2} + 10 \, {\left(a - b\right)} c^{7} d^{3} + 6 \, {\left(a - b\right)} c^{5} d^{4} - 3 \, {\left(a - b\right)} c^{3} d^{5} - {\left(a - b\right)} c d^{6}\right)} x^{2} - 2 \, {\left(9 \, {\left(a b - b^{2}\right)} c^{11} d - 21 \, {\left(a b - b^{2}\right)} c^{9} d^{2} + 10 \, {\left(a b - b^{2}\right)} c^{7} d^{3} + 6 \, {\left(a b - b^{2}\right)} c^{5} d^{4} - 3 \, {\left(a b - b^{2}\right)} c^{3} d^{5} - {\left(a b - b^{2}\right)} c d^{6}\right)} x - {\left(3 \, {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{8} d^{3} - 8 \, {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{6} d^{4} + 6 \, {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{4} d^{5} - {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} d^{7} + {\left(3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{8} d^{3} - 8 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{6} d^{4} + 6 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{4} d^{5} - {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d^{7}\right)} x^{2} - 2 \, {\left(3 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{8} d^{3} - 8 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{6} d^{4} + 6 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{4} d^{5} - {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} d^{7}\right)} x\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}}\right)} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} + c^{3} + 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}}}{b^{2} - 2 \, b x + x^{2}}\right) - \frac{1}{4} \, \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} - c^{3} - 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(18 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{9} d^{2} - 24 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{7} d^{3} - 4 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{5} d^{4} + 8 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{3} d^{5} + 2 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c d^{6} - 2 \, {\left(9 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{9} d^{2} - 12 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{7} d^{3} - 2 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{5} d^{4} + 4 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{3} d^{5} + {\left(a^{2} - 2 \, a b + b^{2}\right)} c d^{6}\right)} x + {\left(3 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{8} d^{3} - 2 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{6} d^{4} - 4 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{4} d^{5} + 2 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{2} d^{6} + {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} d^{7} - {\left(3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{8} d^{3} - 2 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{6} d^{4} - 4 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{4} d^{5} + 2 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{2} d^{6} + {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d^{7}\right)} x\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} - c^{3} - 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}} + {\left(9 \, c^{12} - 30 \, c^{10} d + 31 \, c^{8} d^{2} - 4 \, c^{6} d^{3} - 9 \, c^{4} d^{4} + 2 \, c^{2} d^{5} + d^{6}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} - {\left(9 \, {\left(a b^{2} - b^{3}\right)} c^{11} d - 21 \, {\left(a b^{2} - b^{3}\right)} c^{9} d^{2} + 10 \, {\left(a b^{2} - b^{3}\right)} c^{7} d^{3} + 6 \, {\left(a b^{2} - b^{3}\right)} c^{5} d^{4} - 3 \, {\left(a b^{2} - b^{3}\right)} c^{3} d^{5} - {\left(a b^{2} - b^{3}\right)} c d^{6} + {\left(9 \, {\left(a - b\right)} c^{11} d - 21 \, {\left(a - b\right)} c^{9} d^{2} + 10 \, {\left(a - b\right)} c^{7} d^{3} + 6 \, {\left(a - b\right)} c^{5} d^{4} - 3 \, {\left(a - b\right)} c^{3} d^{5} - {\left(a - b\right)} c d^{6}\right)} x^{2} - 2 \, {\left(9 \, {\left(a b - b^{2}\right)} c^{11} d - 21 \, {\left(a b - b^{2}\right)} c^{9} d^{2} + 10 \, {\left(a b - b^{2}\right)} c^{7} d^{3} + 6 \, {\left(a b - b^{2}\right)} c^{5} d^{4} - 3 \, {\left(a b - b^{2}\right)} c^{3} d^{5} - {\left(a b - b^{2}\right)} c d^{6}\right)} x + {\left(3 \, {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{8} d^{3} - 8 \, {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{6} d^{4} + 6 \, {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{4} d^{5} - {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} d^{7} + {\left(3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{8} d^{3} - 8 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{6} d^{4} + 6 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{4} d^{5} - {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d^{7}\right)} x^{2} - 2 \, {\left(3 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{8} d^{3} - 8 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{6} d^{4} + 6 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{4} d^{5} - {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} d^{7}\right)} x\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}}\right)} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} - c^{3} - 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}}}{b^{2} - 2 \, b x + x^{2}}\right) + \frac{1}{2} \, \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} + c^{3} + 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(6 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{3} d^{2} + 2 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c d^{3} - 2 \, {\left(3 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{3} d^{2} + {\left(a^{2} - 2 \, a b + b^{2}\right)} c d^{3}\right)} x - {\left({\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{2} d^{3} + {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} d^{4} - {\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{2} d^{3} + {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d^{4}\right)} x\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}}\right)} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} + c^{3} + 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}} - {\left(3 \, c^{6} - 5 \, c^{4} d + c^{2} d^{2} + d^{3}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}}}{b - x}\right) + \frac{1}{2} \, \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} - c^{3} - 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(6 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{3} d^{2} + 2 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c d^{3} - 2 \, {\left(3 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{3} d^{2} + {\left(a^{2} - 2 \, a b + b^{2}\right)} c d^{3}\right)} x + {\left({\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{2} d^{3} + {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} d^{4} - {\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{2} d^{3} + {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d^{4}\right)} x\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}}\right)} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} - c^{3} - 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}} - {\left(3 \, c^{6} - 5 \, c^{4} d + c^{2} d^{2} + d^{3}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}}}{b - x}\right)"," ",0,"-sqrt(3)*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) + c^3 + 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3)*arctan(1/3*(2*(sqrt(3)*((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c*d^2*x - (a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c*d^2)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) + sqrt(3)*(3*(a*b - b^2)*c^2*d + (a*b - b^2)*d^2 - (3*(a - b)*c^2*d + (a - b)*d^2)*x))*sqrt(((18*(a^2*b - 2*a*b^2 + b^3)*c^9*d^2 - 24*(a^2*b - 2*a*b^2 + b^3)*c^7*d^3 - 4*(a^2*b - 2*a*b^2 + b^3)*c^5*d^4 + 8*(a^2*b - 2*a*b^2 + b^3)*c^3*d^5 + 2*(a^2*b - 2*a*b^2 + b^3)*c*d^6 - 2*(9*(a^2 - 2*a*b + b^2)*c^9*d^2 - 12*(a^2 - 2*a*b + b^2)*c^7*d^3 - 2*(a^2 - 2*a*b + b^2)*c^5*d^4 + 4*(a^2 - 2*a*b + b^2)*c^3*d^5 + (a^2 - 2*a*b + b^2)*c*d^6)*x - (3*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^8*d^3 - 2*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^6*d^4 - 4*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^4*d^5 + 2*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^2*d^6 + (a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*d^7 - (3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^8*d^3 - 2*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^6*d^4 - 4*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^4*d^5 + 2*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^2*d^6 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d^7)*x)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)))*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) + c^3 + 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3) + (9*c^12 - 30*c^10*d + 31*c^8*d^2 - 4*c^6*d^3 - 9*c^4*d^4 + 2*c^2*d^5 + d^6)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3) - (9*(a*b^2 - b^3)*c^11*d - 21*(a*b^2 - b^3)*c^9*d^2 + 10*(a*b^2 - b^3)*c^7*d^3 + 6*(a*b^2 - b^3)*c^5*d^4 - 3*(a*b^2 - b^3)*c^3*d^5 - (a*b^2 - b^3)*c*d^6 + (9*(a - b)*c^11*d - 21*(a - b)*c^9*d^2 + 10*(a - b)*c^7*d^3 + 6*(a - b)*c^5*d^4 - 3*(a - b)*c^3*d^5 - (a - b)*c*d^6)*x^2 - 2*(9*(a*b - b^2)*c^11*d - 21*(a*b - b^2)*c^9*d^2 + 10*(a*b - b^2)*c^7*d^3 + 6*(a*b - b^2)*c^5*d^4 - 3*(a*b - b^2)*c^3*d^5 - (a*b - b^2)*c*d^6)*x - (3*(a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^8*d^3 - 8*(a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^6*d^4 + 6*(a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^4*d^5 - (a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*d^7 + (3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^8*d^3 - 8*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^6*d^4 + 6*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^4*d^5 - (a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d^7)*x^2 - 2*(3*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^8*d^3 - 8*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^6*d^4 + 6*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^4*d^5 - (a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*d^7)*x)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)))*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) + c^3 + 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3))/(b^2 - 2*b*x + x^2))*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) + c^3 + 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3) - 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(sqrt(3)*(3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^7*d^2 - 5*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^5*d^3 + (a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^3*d^4 + (a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c*d^5)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) - sqrt(3)*(9*(a - b)*c^8*d - 12*(a - b)*c^6*d^2 - 2*(a - b)*c^4*d^3 + 4*(a - b)*c^2*d^4 + (a - b)*d^5))*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) + c^3 + 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3) - sqrt(3)*(9*b*c^10 - 21*b*c^8*d + 10*b*c^6*d^2 + 6*b*c^4*d^3 - 3*b*c^2*d^4 - b*d^5 - (9*c^10 - 21*c^8*d + 10*c^6*d^2 + 6*c^4*d^3 - 3*c^2*d^4 - d^5)*x))/(9*b*c^10 - 21*b*c^8*d + 10*b*c^6*d^2 + 6*b*c^4*d^3 - 3*b*c^2*d^4 - b*d^5 - (9*c^10 - 21*c^8*d + 10*c^6*d^2 + 6*c^4*d^3 - 3*c^2*d^4 - d^5)*x)) + sqrt(3)*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) - c^3 - 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3)*arctan(1/3*(2*(sqrt(3)*((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c*d^2*x - (a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c*d^2)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) - sqrt(3)*(3*(a*b - b^2)*c^2*d + (a*b - b^2)*d^2 - (3*(a - b)*c^2*d + (a - b)*d^2)*x))*sqrt(((18*(a^2*b - 2*a*b^2 + b^3)*c^9*d^2 - 24*(a^2*b - 2*a*b^2 + b^3)*c^7*d^3 - 4*(a^2*b - 2*a*b^2 + b^3)*c^5*d^4 + 8*(a^2*b - 2*a*b^2 + b^3)*c^3*d^5 + 2*(a^2*b - 2*a*b^2 + b^3)*c*d^6 - 2*(9*(a^2 - 2*a*b + b^2)*c^9*d^2 - 12*(a^2 - 2*a*b + b^2)*c^7*d^3 - 2*(a^2 - 2*a*b + b^2)*c^5*d^4 + 4*(a^2 - 2*a*b + b^2)*c^3*d^5 + (a^2 - 2*a*b + b^2)*c*d^6)*x + (3*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^8*d^3 - 2*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^6*d^4 - 4*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^4*d^5 + 2*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^2*d^6 + (a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*d^7 - (3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^8*d^3 - 2*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^6*d^4 - 4*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^4*d^5 + 2*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^2*d^6 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d^7)*x)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)))*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) - c^3 - 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3) + (9*c^12 - 30*c^10*d + 31*c^8*d^2 - 4*c^6*d^3 - 9*c^4*d^4 + 2*c^2*d^5 + d^6)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3) - (9*(a*b^2 - b^3)*c^11*d - 21*(a*b^2 - b^3)*c^9*d^2 + 10*(a*b^2 - b^3)*c^7*d^3 + 6*(a*b^2 - b^3)*c^5*d^4 - 3*(a*b^2 - b^3)*c^3*d^5 - (a*b^2 - b^3)*c*d^6 + (9*(a - b)*c^11*d - 21*(a - b)*c^9*d^2 + 10*(a - b)*c^7*d^3 + 6*(a - b)*c^5*d^4 - 3*(a - b)*c^3*d^5 - (a - b)*c*d^6)*x^2 - 2*(9*(a*b - b^2)*c^11*d - 21*(a*b - b^2)*c^9*d^2 + 10*(a*b - b^2)*c^7*d^3 + 6*(a*b - b^2)*c^5*d^4 - 3*(a*b - b^2)*c^3*d^5 - (a*b - b^2)*c*d^6)*x + (3*(a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^8*d^3 - 8*(a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^6*d^4 + 6*(a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^4*d^5 - (a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*d^7 + (3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^8*d^3 - 8*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^6*d^4 + 6*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^4*d^5 - (a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d^7)*x^2 - 2*(3*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^8*d^3 - 8*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^6*d^4 + 6*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^4*d^5 - (a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*d^7)*x)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)))*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) - c^3 - 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3))/(b^2 - 2*b*x + x^2))*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) - c^3 - 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3) - 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(sqrt(3)*(3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^7*d^2 - 5*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^5*d^3 + (a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^3*d^4 + (a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c*d^5)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) + sqrt(3)*(9*(a - b)*c^8*d - 12*(a - b)*c^6*d^2 - 2*(a - b)*c^4*d^3 + 4*(a - b)*c^2*d^4 + (a - b)*d^5))*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) - c^3 - 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3) + sqrt(3)*(9*b*c^10 - 21*b*c^8*d + 10*b*c^6*d^2 + 6*b*c^4*d^3 - 3*b*c^2*d^4 - b*d^5 - (9*c^10 - 21*c^8*d + 10*c^6*d^2 + 6*c^4*d^3 - 3*c^2*d^4 - d^5)*x))/(9*b*c^10 - 21*b*c^8*d + 10*b*c^6*d^2 + 6*b*c^4*d^3 - 3*b*c^2*d^4 - b*d^5 - (9*c^10 - 21*c^8*d + 10*c^6*d^2 + 6*c^4*d^3 - 3*c^2*d^4 - d^5)*x)) - 1/4*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) + c^3 + 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3)*log(((18*(a^2*b - 2*a*b^2 + b^3)*c^9*d^2 - 24*(a^2*b - 2*a*b^2 + b^3)*c^7*d^3 - 4*(a^2*b - 2*a*b^2 + b^3)*c^5*d^4 + 8*(a^2*b - 2*a*b^2 + b^3)*c^3*d^5 + 2*(a^2*b - 2*a*b^2 + b^3)*c*d^6 - 2*(9*(a^2 - 2*a*b + b^2)*c^9*d^2 - 12*(a^2 - 2*a*b + b^2)*c^7*d^3 - 2*(a^2 - 2*a*b + b^2)*c^5*d^4 + 4*(a^2 - 2*a*b + b^2)*c^3*d^5 + (a^2 - 2*a*b + b^2)*c*d^6)*x - (3*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^8*d^3 - 2*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^6*d^4 - 4*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^4*d^5 + 2*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^2*d^6 + (a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*d^7 - (3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^8*d^3 - 2*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^6*d^4 - 4*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^4*d^5 + 2*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^2*d^6 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d^7)*x)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)))*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) + c^3 + 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3) + (9*c^12 - 30*c^10*d + 31*c^8*d^2 - 4*c^6*d^3 - 9*c^4*d^4 + 2*c^2*d^5 + d^6)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3) - (9*(a*b^2 - b^3)*c^11*d - 21*(a*b^2 - b^3)*c^9*d^2 + 10*(a*b^2 - b^3)*c^7*d^3 + 6*(a*b^2 - b^3)*c^5*d^4 - 3*(a*b^2 - b^3)*c^3*d^5 - (a*b^2 - b^3)*c*d^6 + (9*(a - b)*c^11*d - 21*(a - b)*c^9*d^2 + 10*(a - b)*c^7*d^3 + 6*(a - b)*c^5*d^4 - 3*(a - b)*c^3*d^5 - (a - b)*c*d^6)*x^2 - 2*(9*(a*b - b^2)*c^11*d - 21*(a*b - b^2)*c^9*d^2 + 10*(a*b - b^2)*c^7*d^3 + 6*(a*b - b^2)*c^5*d^4 - 3*(a*b - b^2)*c^3*d^5 - (a*b - b^2)*c*d^6)*x - (3*(a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^8*d^3 - 8*(a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^6*d^4 + 6*(a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^4*d^5 - (a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*d^7 + (3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^8*d^3 - 8*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^6*d^4 + 6*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^4*d^5 - (a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d^7)*x^2 - 2*(3*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^8*d^3 - 8*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^6*d^4 + 6*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^4*d^5 - (a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*d^7)*x)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)))*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) + c^3 + 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3))/(b^2 - 2*b*x + x^2)) - 1/4*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) - c^3 - 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3)*log(((18*(a^2*b - 2*a*b^2 + b^3)*c^9*d^2 - 24*(a^2*b - 2*a*b^2 + b^3)*c^7*d^3 - 4*(a^2*b - 2*a*b^2 + b^3)*c^5*d^4 + 8*(a^2*b - 2*a*b^2 + b^3)*c^3*d^5 + 2*(a^2*b - 2*a*b^2 + b^3)*c*d^6 - 2*(9*(a^2 - 2*a*b + b^2)*c^9*d^2 - 12*(a^2 - 2*a*b + b^2)*c^7*d^3 - 2*(a^2 - 2*a*b + b^2)*c^5*d^4 + 4*(a^2 - 2*a*b + b^2)*c^3*d^5 + (a^2 - 2*a*b + b^2)*c*d^6)*x + (3*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^8*d^3 - 2*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^6*d^4 - 4*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^4*d^5 + 2*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^2*d^6 + (a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*d^7 - (3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^8*d^3 - 2*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^6*d^4 - 4*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^4*d^5 + 2*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^2*d^6 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d^7)*x)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)))*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) - c^3 - 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3) + (9*c^12 - 30*c^10*d + 31*c^8*d^2 - 4*c^6*d^3 - 9*c^4*d^4 + 2*c^2*d^5 + d^6)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3) - (9*(a*b^2 - b^3)*c^11*d - 21*(a*b^2 - b^3)*c^9*d^2 + 10*(a*b^2 - b^3)*c^7*d^3 + 6*(a*b^2 - b^3)*c^5*d^4 - 3*(a*b^2 - b^3)*c^3*d^5 - (a*b^2 - b^3)*c*d^6 + (9*(a - b)*c^11*d - 21*(a - b)*c^9*d^2 + 10*(a - b)*c^7*d^3 + 6*(a - b)*c^5*d^4 - 3*(a - b)*c^3*d^5 - (a - b)*c*d^6)*x^2 - 2*(9*(a*b - b^2)*c^11*d - 21*(a*b - b^2)*c^9*d^2 + 10*(a*b - b^2)*c^7*d^3 + 6*(a*b - b^2)*c^5*d^4 - 3*(a*b - b^2)*c^3*d^5 - (a*b - b^2)*c*d^6)*x + (3*(a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^8*d^3 - 8*(a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^6*d^4 + 6*(a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^4*d^5 - (a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*d^7 + (3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^8*d^3 - 8*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^6*d^4 + 6*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^4*d^5 - (a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d^7)*x^2 - 2*(3*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^8*d^3 - 8*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^6*d^4 + 6*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^4*d^5 - (a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*d^7)*x)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)))*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) - c^3 - 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3))/(b^2 - 2*b*x + x^2)) + 1/2*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) + c^3 + 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3)*log(((6*(a^2*b - 2*a*b^2 + b^3)*c^3*d^2 + 2*(a^2*b - 2*a*b^2 + b^3)*c*d^3 - 2*(3*(a^2 - 2*a*b + b^2)*c^3*d^2 + (a^2 - 2*a*b + b^2)*c*d^3)*x - ((a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^2*d^3 + (a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*d^4 - ((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^2*d^3 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d^4)*x)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)))*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) + c^3 + 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3) - (3*c^6 - 5*c^4*d + c^2*d^2 + d^3)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3))/(b - x)) + 1/2*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) - c^3 - 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3)*log(((6*(a^2*b - 2*a*b^2 + b^3)*c^3*d^2 + 2*(a^2*b - 2*a*b^2 + b^3)*c*d^3 - 2*(3*(a^2 - 2*a*b + b^2)*c^3*d^2 + (a^2 - 2*a*b + b^2)*c*d^3)*x + ((a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^2*d^3 + (a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*d^4 - ((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^2*d^3 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d^4)*x)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)))*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) - c^3 - 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3) - (3*c^6 - 5*c^4*d + c^2*d^2 + d^3)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3))/(b - x))","B",0
3149,1,11788,0,1.401643," ","integrate((-b-a*c+(1+c)*x)/((-a+x)*(-b+x)^2)^(1/3)/(-b^2+a^2*d+2*(-a*d+b)*x+(-1+d)*x^2),x, algorithm=""fricas"")","-\sqrt{3} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} + 3 \, c^{2} + d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, {\left(\sqrt{3} {\left({\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d^{4} x - {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} d^{4}\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} + \sqrt{3} {\left({\left(a b - b^{2}\right)} c^{4} d + 3 \, {\left(a b - b^{2}\right)} c^{2} d^{2} - {\left({\left(a - b\right)} c^{4} d + 3 \, {\left(a - b\right)} c^{2} d^{2}\right)} x\right)}\right)} \sqrt{\frac{{\left(2 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{11} d^{2} + 8 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{9} d^{3} - 4 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{7} d^{4} - 24 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{5} d^{5} + 18 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{3} d^{6} - 2 \, {\left({\left(a^{2} - 2 \, a b + b^{2}\right)} c^{11} d^{2} + 4 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{9} d^{3} - 2 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{7} d^{4} - 12 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{5} d^{5} + 9 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{3} d^{6}\right)} x - {\left({\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{9} d^{4} + 2 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{7} d^{5} - 4 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{5} d^{6} - 2 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{3} d^{7} + 3 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c d^{8} - {\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{9} d^{4} + 2 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{7} d^{5} - 4 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{5} d^{6} - 2 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{3} d^{7} + 3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c d^{8}\right)} x\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} + 3 \, c^{2} + d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}} + {\left(c^{14} + 2 \, c^{12} d - 9 \, c^{10} d^{2} - 4 \, c^{8} d^{3} + 31 \, c^{6} d^{4} - 30 \, c^{4} d^{5} + 9 \, c^{2} d^{6}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} - {\left({\left(a b^{2} - b^{3}\right)} c^{12} d + 3 \, {\left(a b^{2} - b^{3}\right)} c^{10} d^{2} - 6 \, {\left(a b^{2} - b^{3}\right)} c^{8} d^{3} - 10 \, {\left(a b^{2} - b^{3}\right)} c^{6} d^{4} + 21 \, {\left(a b^{2} - b^{3}\right)} c^{4} d^{5} - 9 \, {\left(a b^{2} - b^{3}\right)} c^{2} d^{6} + {\left({\left(a - b\right)} c^{12} d + 3 \, {\left(a - b\right)} c^{10} d^{2} - 6 \, {\left(a - b\right)} c^{8} d^{3} - 10 \, {\left(a - b\right)} c^{6} d^{4} + 21 \, {\left(a - b\right)} c^{4} d^{5} - 9 \, {\left(a - b\right)} c^{2} d^{6}\right)} x^{2} - 2 \, {\left({\left(a b - b^{2}\right)} c^{12} d + 3 \, {\left(a b - b^{2}\right)} c^{10} d^{2} - 6 \, {\left(a b - b^{2}\right)} c^{8} d^{3} - 10 \, {\left(a b - b^{2}\right)} c^{6} d^{4} + 21 \, {\left(a b - b^{2}\right)} c^{4} d^{5} - 9 \, {\left(a b - b^{2}\right)} c^{2} d^{6}\right)} x - {\left({\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{10} d^{3} - 6 \, {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{6} d^{5} + 8 \, {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{4} d^{6} - 3 \, {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{2} d^{7} + {\left({\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{10} d^{3} - 6 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{6} d^{5} + 8 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{4} d^{6} - 3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{2} d^{7}\right)} x^{2} - 2 \, {\left({\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{10} d^{3} - 6 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{6} d^{5} + 8 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{4} d^{6} - 3 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{2} d^{7}\right)} x\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}}\right)} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} + 3 \, c^{2} + d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}}}{b^{2} - 2 \, b x + x^{2}}} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} + 3 \, c^{2} + d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} - 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(\sqrt{3} {\left({\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{7} d^{4} + {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{5} d^{5} - 5 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{3} d^{6} + 3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c d^{7}\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} - \sqrt{3} {\left({\left(a - b\right)} c^{11} d + 4 \, {\left(a - b\right)} c^{9} d^{2} - 2 \, {\left(a - b\right)} c^{7} d^{3} - 12 \, {\left(a - b\right)} c^{5} d^{4} + 9 \, {\left(a - b\right)} c^{3} d^{5}\right)}\right)} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} + 3 \, c^{2} + d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} - \sqrt{3} {\left(b c^{12} + 3 \, b c^{10} d - 6 \, b c^{8} d^{2} - 10 \, b c^{6} d^{3} + 21 \, b c^{4} d^{4} - 9 \, b c^{2} d^{5} - {\left(c^{12} + 3 \, c^{10} d - 6 \, c^{8} d^{2} - 10 \, c^{6} d^{3} + 21 \, c^{4} d^{4} - 9 \, c^{2} d^{5}\right)} x\right)}}{3 \, {\left(b c^{12} + 3 \, b c^{10} d - 6 \, b c^{8} d^{2} - 10 \, b c^{6} d^{3} + 21 \, b c^{4} d^{4} - 9 \, b c^{2} d^{5} - {\left(c^{12} + 3 \, c^{10} d - 6 \, c^{8} d^{2} - 10 \, c^{6} d^{3} + 21 \, c^{4} d^{4} - 9 \, c^{2} d^{5}\right)} x\right)}}\right) + \sqrt{3} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} - 3 \, c^{2} - d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, {\left(\sqrt{3} {\left({\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d^{4} x - {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} d^{4}\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} - \sqrt{3} {\left({\left(a b - b^{2}\right)} c^{4} d + 3 \, {\left(a b - b^{2}\right)} c^{2} d^{2} - {\left({\left(a - b\right)} c^{4} d + 3 \, {\left(a - b\right)} c^{2} d^{2}\right)} x\right)}\right)} \sqrt{\frac{{\left(2 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{11} d^{2} + 8 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{9} d^{3} - 4 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{7} d^{4} - 24 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{5} d^{5} + 18 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{3} d^{6} - 2 \, {\left({\left(a^{2} - 2 \, a b + b^{2}\right)} c^{11} d^{2} + 4 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{9} d^{3} - 2 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{7} d^{4} - 12 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{5} d^{5} + 9 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{3} d^{6}\right)} x + {\left({\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{9} d^{4} + 2 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{7} d^{5} - 4 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{5} d^{6} - 2 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{3} d^{7} + 3 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c d^{8} - {\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{9} d^{4} + 2 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{7} d^{5} - 4 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{5} d^{6} - 2 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{3} d^{7} + 3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c d^{8}\right)} x\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} - 3 \, c^{2} - d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}} + {\left(c^{14} + 2 \, c^{12} d - 9 \, c^{10} d^{2} - 4 \, c^{8} d^{3} + 31 \, c^{6} d^{4} - 30 \, c^{4} d^{5} + 9 \, c^{2} d^{6}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} - {\left({\left(a b^{2} - b^{3}\right)} c^{12} d + 3 \, {\left(a b^{2} - b^{3}\right)} c^{10} d^{2} - 6 \, {\left(a b^{2} - b^{3}\right)} c^{8} d^{3} - 10 \, {\left(a b^{2} - b^{3}\right)} c^{6} d^{4} + 21 \, {\left(a b^{2} - b^{3}\right)} c^{4} d^{5} - 9 \, {\left(a b^{2} - b^{3}\right)} c^{2} d^{6} + {\left({\left(a - b\right)} c^{12} d + 3 \, {\left(a - b\right)} c^{10} d^{2} - 6 \, {\left(a - b\right)} c^{8} d^{3} - 10 \, {\left(a - b\right)} c^{6} d^{4} + 21 \, {\left(a - b\right)} c^{4} d^{5} - 9 \, {\left(a - b\right)} c^{2} d^{6}\right)} x^{2} - 2 \, {\left({\left(a b - b^{2}\right)} c^{12} d + 3 \, {\left(a b - b^{2}\right)} c^{10} d^{2} - 6 \, {\left(a b - b^{2}\right)} c^{8} d^{3} - 10 \, {\left(a b - b^{2}\right)} c^{6} d^{4} + 21 \, {\left(a b - b^{2}\right)} c^{4} d^{5} - 9 \, {\left(a b - b^{2}\right)} c^{2} d^{6}\right)} x + {\left({\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{10} d^{3} - 6 \, {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{6} d^{5} + 8 \, {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{4} d^{6} - 3 \, {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{2} d^{7} + {\left({\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{10} d^{3} - 6 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{6} d^{5} + 8 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{4} d^{6} - 3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{2} d^{7}\right)} x^{2} - 2 \, {\left({\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{10} d^{3} - 6 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{6} d^{5} + 8 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{4} d^{6} - 3 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{2} d^{7}\right)} x\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}}\right)} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} - 3 \, c^{2} - d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}}}{b^{2} - 2 \, b x + x^{2}}} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} - 3 \, c^{2} - d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} - 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(\sqrt{3} {\left({\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{7} d^{4} + {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{5} d^{5} - 5 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{3} d^{6} + 3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c d^{7}\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} + \sqrt{3} {\left({\left(a - b\right)} c^{11} d + 4 \, {\left(a - b\right)} c^{9} d^{2} - 2 \, {\left(a - b\right)} c^{7} d^{3} - 12 \, {\left(a - b\right)} c^{5} d^{4} + 9 \, {\left(a - b\right)} c^{3} d^{5}\right)}\right)} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} - 3 \, c^{2} - d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} + \sqrt{3} {\left(b c^{12} + 3 \, b c^{10} d - 6 \, b c^{8} d^{2} - 10 \, b c^{6} d^{3} + 21 \, b c^{4} d^{4} - 9 \, b c^{2} d^{5} - {\left(c^{12} + 3 \, c^{10} d - 6 \, c^{8} d^{2} - 10 \, c^{6} d^{3} + 21 \, c^{4} d^{4} - 9 \, c^{2} d^{5}\right)} x\right)}}{3 \, {\left(b c^{12} + 3 \, b c^{10} d - 6 \, b c^{8} d^{2} - 10 \, b c^{6} d^{3} + 21 \, b c^{4} d^{4} - 9 \, b c^{2} d^{5} - {\left(c^{12} + 3 \, c^{10} d - 6 \, c^{8} d^{2} - 10 \, c^{6} d^{3} + 21 \, c^{4} d^{4} - 9 \, c^{2} d^{5}\right)} x\right)}}\right) - \frac{1}{4} \, \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} + 3 \, c^{2} + d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(2 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{11} d^{2} + 8 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{9} d^{3} - 4 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{7} d^{4} - 24 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{5} d^{5} + 18 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{3} d^{6} - 2 \, {\left({\left(a^{2} - 2 \, a b + b^{2}\right)} c^{11} d^{2} + 4 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{9} d^{3} - 2 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{7} d^{4} - 12 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{5} d^{5} + 9 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{3} d^{6}\right)} x - {\left({\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{9} d^{4} + 2 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{7} d^{5} - 4 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{5} d^{6} - 2 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{3} d^{7} + 3 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c d^{8} - {\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{9} d^{4} + 2 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{7} d^{5} - 4 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{5} d^{6} - 2 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{3} d^{7} + 3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c d^{8}\right)} x\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} + 3 \, c^{2} + d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}} + {\left(c^{14} + 2 \, c^{12} d - 9 \, c^{10} d^{2} - 4 \, c^{8} d^{3} + 31 \, c^{6} d^{4} - 30 \, c^{4} d^{5} + 9 \, c^{2} d^{6}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} - {\left({\left(a b^{2} - b^{3}\right)} c^{12} d + 3 \, {\left(a b^{2} - b^{3}\right)} c^{10} d^{2} - 6 \, {\left(a b^{2} - b^{3}\right)} c^{8} d^{3} - 10 \, {\left(a b^{2} - b^{3}\right)} c^{6} d^{4} + 21 \, {\left(a b^{2} - b^{3}\right)} c^{4} d^{5} - 9 \, {\left(a b^{2} - b^{3}\right)} c^{2} d^{6} + {\left({\left(a - b\right)} c^{12} d + 3 \, {\left(a - b\right)} c^{10} d^{2} - 6 \, {\left(a - b\right)} c^{8} d^{3} - 10 \, {\left(a - b\right)} c^{6} d^{4} + 21 \, {\left(a - b\right)} c^{4} d^{5} - 9 \, {\left(a - b\right)} c^{2} d^{6}\right)} x^{2} - 2 \, {\left({\left(a b - b^{2}\right)} c^{12} d + 3 \, {\left(a b - b^{2}\right)} c^{10} d^{2} - 6 \, {\left(a b - b^{2}\right)} c^{8} d^{3} - 10 \, {\left(a b - b^{2}\right)} c^{6} d^{4} + 21 \, {\left(a b - b^{2}\right)} c^{4} d^{5} - 9 \, {\left(a b - b^{2}\right)} c^{2} d^{6}\right)} x - {\left({\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{10} d^{3} - 6 \, {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{6} d^{5} + 8 \, {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{4} d^{6} - 3 \, {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{2} d^{7} + {\left({\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{10} d^{3} - 6 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{6} d^{5} + 8 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{4} d^{6} - 3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{2} d^{7}\right)} x^{2} - 2 \, {\left({\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{10} d^{3} - 6 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{6} d^{5} + 8 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{4} d^{6} - 3 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{2} d^{7}\right)} x\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}}\right)} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} + 3 \, c^{2} + d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}}}{b^{2} - 2 \, b x + x^{2}}\right) - \frac{1}{4} \, \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} - 3 \, c^{2} - d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(2 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{11} d^{2} + 8 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{9} d^{3} - 4 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{7} d^{4} - 24 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{5} d^{5} + 18 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{3} d^{6} - 2 \, {\left({\left(a^{2} - 2 \, a b + b^{2}\right)} c^{11} d^{2} + 4 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{9} d^{3} - 2 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{7} d^{4} - 12 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{5} d^{5} + 9 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{3} d^{6}\right)} x + {\left({\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{9} d^{4} + 2 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{7} d^{5} - 4 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{5} d^{6} - 2 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{3} d^{7} + 3 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c d^{8} - {\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{9} d^{4} + 2 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{7} d^{5} - 4 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{5} d^{6} - 2 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{3} d^{7} + 3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c d^{8}\right)} x\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} - 3 \, c^{2} - d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}} + {\left(c^{14} + 2 \, c^{12} d - 9 \, c^{10} d^{2} - 4 \, c^{8} d^{3} + 31 \, c^{6} d^{4} - 30 \, c^{4} d^{5} + 9 \, c^{2} d^{6}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} - {\left({\left(a b^{2} - b^{3}\right)} c^{12} d + 3 \, {\left(a b^{2} - b^{3}\right)} c^{10} d^{2} - 6 \, {\left(a b^{2} - b^{3}\right)} c^{8} d^{3} - 10 \, {\left(a b^{2} - b^{3}\right)} c^{6} d^{4} + 21 \, {\left(a b^{2} - b^{3}\right)} c^{4} d^{5} - 9 \, {\left(a b^{2} - b^{3}\right)} c^{2} d^{6} + {\left({\left(a - b\right)} c^{12} d + 3 \, {\left(a - b\right)} c^{10} d^{2} - 6 \, {\left(a - b\right)} c^{8} d^{3} - 10 \, {\left(a - b\right)} c^{6} d^{4} + 21 \, {\left(a - b\right)} c^{4} d^{5} - 9 \, {\left(a - b\right)} c^{2} d^{6}\right)} x^{2} - 2 \, {\left({\left(a b - b^{2}\right)} c^{12} d + 3 \, {\left(a b - b^{2}\right)} c^{10} d^{2} - 6 \, {\left(a b - b^{2}\right)} c^{8} d^{3} - 10 \, {\left(a b - b^{2}\right)} c^{6} d^{4} + 21 \, {\left(a b - b^{2}\right)} c^{4} d^{5} - 9 \, {\left(a b - b^{2}\right)} c^{2} d^{6}\right)} x + {\left({\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{10} d^{3} - 6 \, {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{6} d^{5} + 8 \, {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{4} d^{6} - 3 \, {\left(a^{4} b^{2} - 4 \, a^{3} b^{3} + 6 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} c^{2} d^{7} + {\left({\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{10} d^{3} - 6 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{6} d^{5} + 8 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{4} d^{6} - 3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{2} d^{7}\right)} x^{2} - 2 \, {\left({\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{10} d^{3} - 6 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{6} d^{5} + 8 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{4} d^{6} - 3 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{2} d^{7}\right)} x\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}}\right)} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} - 3 \, c^{2} - d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}}}{b^{2} - 2 \, b x + x^{2}}\right) + \frac{1}{2} \, \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} + 3 \, c^{2} + d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(2 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{4} d^{2} + 6 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{2} d^{3} - 2 \, {\left({\left(a^{2} - 2 \, a b + b^{2}\right)} c^{4} d^{2} + 3 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{2} d^{3}\right)} x - {\left({\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{2} d^{4} + {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} d^{5} - {\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{2} d^{4} + {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d^{5}\right)} x\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}}\right)} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} + 3 \, c^{2} + d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}} - {\left(c^{7} + c^{5} d - 5 \, c^{3} d^{2} + 3 \, c d^{3}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}}}{b - x}\right) + \frac{1}{2} \, \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} - 3 \, c^{2} - d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(2 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{4} d^{2} + 6 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{2} d^{3} - 2 \, {\left({\left(a^{2} - 2 \, a b + b^{2}\right)} c^{4} d^{2} + 3 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{2} d^{3}\right)} x + {\left({\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{2} d^{4} + {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} d^{5} - {\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{2} d^{4} + {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d^{5}\right)} x\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}}\right)} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} - 3 \, c^{2} - d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}} - {\left(c^{7} + c^{5} d - 5 \, c^{3} d^{2} + 3 \, c d^{3}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}}}{b - x}\right)"," ",0,"-sqrt(3)*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) + 3*c^2 + d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3)*arctan(1/3*(2*(sqrt(3)*((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d^4*x - (a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*d^4)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) + sqrt(3)*((a*b - b^2)*c^4*d + 3*(a*b - b^2)*c^2*d^2 - ((a - b)*c^4*d + 3*(a - b)*c^2*d^2)*x))*sqrt(((2*(a^2*b - 2*a*b^2 + b^3)*c^11*d^2 + 8*(a^2*b - 2*a*b^2 + b^3)*c^9*d^3 - 4*(a^2*b - 2*a*b^2 + b^3)*c^7*d^4 - 24*(a^2*b - 2*a*b^2 + b^3)*c^5*d^5 + 18*(a^2*b - 2*a*b^2 + b^3)*c^3*d^6 - 2*((a^2 - 2*a*b + b^2)*c^11*d^2 + 4*(a^2 - 2*a*b + b^2)*c^9*d^3 - 2*(a^2 - 2*a*b + b^2)*c^7*d^4 - 12*(a^2 - 2*a*b + b^2)*c^5*d^5 + 9*(a^2 - 2*a*b + b^2)*c^3*d^6)*x - ((a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^9*d^4 + 2*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^7*d^5 - 4*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^5*d^6 - 2*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^3*d^7 + 3*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c*d^8 - ((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^9*d^4 + 2*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^7*d^5 - 4*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^5*d^6 - 2*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^3*d^7 + 3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c*d^8)*x)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)))*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) + 3*c^2 + d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3) + (c^14 + 2*c^12*d - 9*c^10*d^2 - 4*c^8*d^3 + 31*c^6*d^4 - 30*c^4*d^5 + 9*c^2*d^6)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3) - ((a*b^2 - b^3)*c^12*d + 3*(a*b^2 - b^3)*c^10*d^2 - 6*(a*b^2 - b^3)*c^8*d^3 - 10*(a*b^2 - b^3)*c^6*d^4 + 21*(a*b^2 - b^3)*c^4*d^5 - 9*(a*b^2 - b^3)*c^2*d^6 + ((a - b)*c^12*d + 3*(a - b)*c^10*d^2 - 6*(a - b)*c^8*d^3 - 10*(a - b)*c^6*d^4 + 21*(a - b)*c^4*d^5 - 9*(a - b)*c^2*d^6)*x^2 - 2*((a*b - b^2)*c^12*d + 3*(a*b - b^2)*c^10*d^2 - 6*(a*b - b^2)*c^8*d^3 - 10*(a*b - b^2)*c^6*d^4 + 21*(a*b - b^2)*c^4*d^5 - 9*(a*b - b^2)*c^2*d^6)*x - ((a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^10*d^3 - 6*(a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^6*d^5 + 8*(a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^4*d^6 - 3*(a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^2*d^7 + ((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^10*d^3 - 6*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^6*d^5 + 8*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^4*d^6 - 3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^2*d^7)*x^2 - 2*((a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^10*d^3 - 6*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^6*d^5 + 8*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^4*d^6 - 3*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^2*d^7)*x)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)))*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) + 3*c^2 + d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3))/(b^2 - 2*b*x + x^2))*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) + 3*c^2 + d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3) - 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(sqrt(3)*((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^7*d^4 + (a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^5*d^5 - 5*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^3*d^6 + 3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c*d^7)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) - sqrt(3)*((a - b)*c^11*d + 4*(a - b)*c^9*d^2 - 2*(a - b)*c^7*d^3 - 12*(a - b)*c^5*d^4 + 9*(a - b)*c^3*d^5))*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) + 3*c^2 + d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3) - sqrt(3)*(b*c^12 + 3*b*c^10*d - 6*b*c^8*d^2 - 10*b*c^6*d^3 + 21*b*c^4*d^4 - 9*b*c^2*d^5 - (c^12 + 3*c^10*d - 6*c^8*d^2 - 10*c^6*d^3 + 21*c^4*d^4 - 9*c^2*d^5)*x))/(b*c^12 + 3*b*c^10*d - 6*b*c^8*d^2 - 10*b*c^6*d^3 + 21*b*c^4*d^4 - 9*b*c^2*d^5 - (c^12 + 3*c^10*d - 6*c^8*d^2 - 10*c^6*d^3 + 21*c^4*d^4 - 9*c^2*d^5)*x)) + sqrt(3)*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) - 3*c^2 - d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3)*arctan(1/3*(2*(sqrt(3)*((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d^4*x - (a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*d^4)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) - sqrt(3)*((a*b - b^2)*c^4*d + 3*(a*b - b^2)*c^2*d^2 - ((a - b)*c^4*d + 3*(a - b)*c^2*d^2)*x))*sqrt(((2*(a^2*b - 2*a*b^2 + b^3)*c^11*d^2 + 8*(a^2*b - 2*a*b^2 + b^3)*c^9*d^3 - 4*(a^2*b - 2*a*b^2 + b^3)*c^7*d^4 - 24*(a^2*b - 2*a*b^2 + b^3)*c^5*d^5 + 18*(a^2*b - 2*a*b^2 + b^3)*c^3*d^6 - 2*((a^2 - 2*a*b + b^2)*c^11*d^2 + 4*(a^2 - 2*a*b + b^2)*c^9*d^3 - 2*(a^2 - 2*a*b + b^2)*c^7*d^4 - 12*(a^2 - 2*a*b + b^2)*c^5*d^5 + 9*(a^2 - 2*a*b + b^2)*c^3*d^6)*x + ((a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^9*d^4 + 2*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^7*d^5 - 4*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^5*d^6 - 2*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^3*d^7 + 3*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c*d^8 - ((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^9*d^4 + 2*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^7*d^5 - 4*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^5*d^6 - 2*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^3*d^7 + 3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c*d^8)*x)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)))*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) - 3*c^2 - d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3) + (c^14 + 2*c^12*d - 9*c^10*d^2 - 4*c^8*d^3 + 31*c^6*d^4 - 30*c^4*d^5 + 9*c^2*d^6)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3) - ((a*b^2 - b^3)*c^12*d + 3*(a*b^2 - b^3)*c^10*d^2 - 6*(a*b^2 - b^3)*c^8*d^3 - 10*(a*b^2 - b^3)*c^6*d^4 + 21*(a*b^2 - b^3)*c^4*d^5 - 9*(a*b^2 - b^3)*c^2*d^6 + ((a - b)*c^12*d + 3*(a - b)*c^10*d^2 - 6*(a - b)*c^8*d^3 - 10*(a - b)*c^6*d^4 + 21*(a - b)*c^4*d^5 - 9*(a - b)*c^2*d^6)*x^2 - 2*((a*b - b^2)*c^12*d + 3*(a*b - b^2)*c^10*d^2 - 6*(a*b - b^2)*c^8*d^3 - 10*(a*b - b^2)*c^6*d^4 + 21*(a*b - b^2)*c^4*d^5 - 9*(a*b - b^2)*c^2*d^6)*x + ((a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^10*d^3 - 6*(a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^6*d^5 + 8*(a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^4*d^6 - 3*(a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^2*d^7 + ((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^10*d^3 - 6*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^6*d^5 + 8*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^4*d^6 - 3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^2*d^7)*x^2 - 2*((a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^10*d^3 - 6*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^6*d^5 + 8*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^4*d^6 - 3*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^2*d^7)*x)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)))*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) - 3*c^2 - d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3))/(b^2 - 2*b*x + x^2))*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) - 3*c^2 - d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3) - 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(sqrt(3)*((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^7*d^4 + (a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^5*d^5 - 5*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^3*d^6 + 3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c*d^7)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) + sqrt(3)*((a - b)*c^11*d + 4*(a - b)*c^9*d^2 - 2*(a - b)*c^7*d^3 - 12*(a - b)*c^5*d^4 + 9*(a - b)*c^3*d^5))*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) - 3*c^2 - d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3) + sqrt(3)*(b*c^12 + 3*b*c^10*d - 6*b*c^8*d^2 - 10*b*c^6*d^3 + 21*b*c^4*d^4 - 9*b*c^2*d^5 - (c^12 + 3*c^10*d - 6*c^8*d^2 - 10*c^6*d^3 + 21*c^4*d^4 - 9*c^2*d^5)*x))/(b*c^12 + 3*b*c^10*d - 6*b*c^8*d^2 - 10*b*c^6*d^3 + 21*b*c^4*d^4 - 9*b*c^2*d^5 - (c^12 + 3*c^10*d - 6*c^8*d^2 - 10*c^6*d^3 + 21*c^4*d^4 - 9*c^2*d^5)*x)) - 1/4*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) + 3*c^2 + d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3)*log(((2*(a^2*b - 2*a*b^2 + b^3)*c^11*d^2 + 8*(a^2*b - 2*a*b^2 + b^3)*c^9*d^3 - 4*(a^2*b - 2*a*b^2 + b^3)*c^7*d^4 - 24*(a^2*b - 2*a*b^2 + b^3)*c^5*d^5 + 18*(a^2*b - 2*a*b^2 + b^3)*c^3*d^6 - 2*((a^2 - 2*a*b + b^2)*c^11*d^2 + 4*(a^2 - 2*a*b + b^2)*c^9*d^3 - 2*(a^2 - 2*a*b + b^2)*c^7*d^4 - 12*(a^2 - 2*a*b + b^2)*c^5*d^5 + 9*(a^2 - 2*a*b + b^2)*c^3*d^6)*x - ((a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^9*d^4 + 2*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^7*d^5 - 4*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^5*d^6 - 2*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^3*d^7 + 3*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c*d^8 - ((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^9*d^4 + 2*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^7*d^5 - 4*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^5*d^6 - 2*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^3*d^7 + 3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c*d^8)*x)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)))*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) + 3*c^2 + d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3) + (c^14 + 2*c^12*d - 9*c^10*d^2 - 4*c^8*d^3 + 31*c^6*d^4 - 30*c^4*d^5 + 9*c^2*d^6)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3) - ((a*b^2 - b^3)*c^12*d + 3*(a*b^2 - b^3)*c^10*d^2 - 6*(a*b^2 - b^3)*c^8*d^3 - 10*(a*b^2 - b^3)*c^6*d^4 + 21*(a*b^2 - b^3)*c^4*d^5 - 9*(a*b^2 - b^3)*c^2*d^6 + ((a - b)*c^12*d + 3*(a - b)*c^10*d^2 - 6*(a - b)*c^8*d^3 - 10*(a - b)*c^6*d^4 + 21*(a - b)*c^4*d^5 - 9*(a - b)*c^2*d^6)*x^2 - 2*((a*b - b^2)*c^12*d + 3*(a*b - b^2)*c^10*d^2 - 6*(a*b - b^2)*c^8*d^3 - 10*(a*b - b^2)*c^6*d^4 + 21*(a*b - b^2)*c^4*d^5 - 9*(a*b - b^2)*c^2*d^6)*x - ((a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^10*d^3 - 6*(a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^6*d^5 + 8*(a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^4*d^6 - 3*(a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^2*d^7 + ((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^10*d^3 - 6*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^6*d^5 + 8*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^4*d^6 - 3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^2*d^7)*x^2 - 2*((a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^10*d^3 - 6*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^6*d^5 + 8*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^4*d^6 - 3*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^2*d^7)*x)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)))*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) + 3*c^2 + d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3))/(b^2 - 2*b*x + x^2)) - 1/4*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) - 3*c^2 - d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3)*log(((2*(a^2*b - 2*a*b^2 + b^3)*c^11*d^2 + 8*(a^2*b - 2*a*b^2 + b^3)*c^9*d^3 - 4*(a^2*b - 2*a*b^2 + b^3)*c^7*d^4 - 24*(a^2*b - 2*a*b^2 + b^3)*c^5*d^5 + 18*(a^2*b - 2*a*b^2 + b^3)*c^3*d^6 - 2*((a^2 - 2*a*b + b^2)*c^11*d^2 + 4*(a^2 - 2*a*b + b^2)*c^9*d^3 - 2*(a^2 - 2*a*b + b^2)*c^7*d^4 - 12*(a^2 - 2*a*b + b^2)*c^5*d^5 + 9*(a^2 - 2*a*b + b^2)*c^3*d^6)*x + ((a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^9*d^4 + 2*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^7*d^5 - 4*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^5*d^6 - 2*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^3*d^7 + 3*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c*d^8 - ((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^9*d^4 + 2*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^7*d^5 - 4*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^5*d^6 - 2*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^3*d^7 + 3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c*d^8)*x)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)))*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) - 3*c^2 - d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3) + (c^14 + 2*c^12*d - 9*c^10*d^2 - 4*c^8*d^3 + 31*c^6*d^4 - 30*c^4*d^5 + 9*c^2*d^6)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3) - ((a*b^2 - b^3)*c^12*d + 3*(a*b^2 - b^3)*c^10*d^2 - 6*(a*b^2 - b^3)*c^8*d^3 - 10*(a*b^2 - b^3)*c^6*d^4 + 21*(a*b^2 - b^3)*c^4*d^5 - 9*(a*b^2 - b^3)*c^2*d^6 + ((a - b)*c^12*d + 3*(a - b)*c^10*d^2 - 6*(a - b)*c^8*d^3 - 10*(a - b)*c^6*d^4 + 21*(a - b)*c^4*d^5 - 9*(a - b)*c^2*d^6)*x^2 - 2*((a*b - b^2)*c^12*d + 3*(a*b - b^2)*c^10*d^2 - 6*(a*b - b^2)*c^8*d^3 - 10*(a*b - b^2)*c^6*d^4 + 21*(a*b - b^2)*c^4*d^5 - 9*(a*b - b^2)*c^2*d^6)*x + ((a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^10*d^3 - 6*(a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^6*d^5 + 8*(a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^4*d^6 - 3*(a^4*b^2 - 4*a^3*b^3 + 6*a^2*b^4 - 4*a*b^5 + b^6)*c^2*d^7 + ((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^10*d^3 - 6*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^6*d^5 + 8*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^4*d^6 - 3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^2*d^7)*x^2 - 2*((a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^10*d^3 - 6*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^6*d^5 + 8*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^4*d^6 - 3*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^2*d^7)*x)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)))*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) - 3*c^2 - d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3))/(b^2 - 2*b*x + x^2)) + 1/2*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) + 3*c^2 + d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3)*log(((2*(a^2*b - 2*a*b^2 + b^3)*c^4*d^2 + 6*(a^2*b - 2*a*b^2 + b^3)*c^2*d^3 - 2*((a^2 - 2*a*b + b^2)*c^4*d^2 + 3*(a^2 - 2*a*b + b^2)*c^2*d^3)*x - ((a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^2*d^4 + (a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*d^5 - ((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^2*d^4 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d^5)*x)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)))*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) + 3*c^2 + d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3) - (c^7 + c^5*d - 5*c^3*d^2 + 3*c*d^3)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3))/(b - x)) + 1/2*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) - 3*c^2 - d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3)*log(((2*(a^2*b - 2*a*b^2 + b^3)*c^4*d^2 + 6*(a^2*b - 2*a*b^2 + b^3)*c^2*d^3 - 2*((a^2 - 2*a*b + b^2)*c^4*d^2 + 3*(a^2 - 2*a*b + b^2)*c^2*d^3)*x + ((a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^2*d^4 + (a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*d^5 - ((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^2*d^4 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d^5)*x)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)))*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) - 3*c^2 - d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3) - (c^7 + c^5*d - 5*c^3*d^2 + 3*c*d^3)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3))/(b - x))","B",0
3150,-1,0,0,0.000000," ","integrate((_C9*x+_C8)/(_C4+((_C1*x+_C0)/(_C3*x+_C2))^(1/2)*_C5)^(1/2)/(_C7*x+_C6),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3151,1,9684,0,1.366492," ","integrate((-b+x)*(-a-b*c+(1+c)*x)/((-a+x)*(-b+x)^2)^(2/3)/(-a^2+b^2*d+2*(-b*d+a)*x+(-1+d)*x^2),x, algorithm=""fricas"")","-\sqrt{3} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} + 3 \, c^{2} + d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, {\left(\sqrt{3} {\left({\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{2} d^{4} + {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} d^{5} - {\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{2} d^{4} + {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d^{5}\right)} x\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} - 2 \, \sqrt{3} {\left({\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{4} d^{2} + 3 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{2} d^{3} - {\left({\left(a^{2} - 2 \, a b + b^{2}\right)} c^{4} d^{2} + 3 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{2} d^{3}\right)} x\right)}\right)} \sqrt{\frac{{\left(c^{10} + 4 \, c^{8} d - 2 \, c^{6} d^{2} - 12 \, c^{4} d^{3} + 9 \, c^{2} d^{4}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} + {\left({\left(a b - b^{2}\right)} c^{9} d + 5 \, {\left(a b - b^{2}\right)} c^{7} d^{2} + 3 \, {\left(a b - b^{2}\right)} c^{5} d^{3} - 9 \, {\left(a b - b^{2}\right)} c^{3} d^{4} - {\left({\left(a - b\right)} c^{9} d + 5 \, {\left(a - b\right)} c^{7} d^{2} + 3 \, {\left(a - b\right)} c^{5} d^{3} - 9 \, {\left(a - b\right)} c^{3} d^{4}\right)} x - {\left({\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{5} d^{4} + 2 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{3} d^{5} - 3 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c d^{6} - {\left({\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{5} d^{4} + 2 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{3} d^{5} - 3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c d^{6}\right)} x\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} + 3 \, c^{2} + d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} + {\left({\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{8} d^{2} + 7 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{6} d^{3} + 15 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{4} d^{4} + 9 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{2} d^{5} + {\left({\left(a^{2} - 2 \, a b + b^{2}\right)} c^{8} d^{2} + 7 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{6} d^{3} + 15 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{4} d^{4} + 9 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{2} d^{5}\right)} x^{2} - 2 \, {\left({\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{8} d^{2} + 7 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{6} d^{3} + 15 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{4} d^{4} + 9 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{2} d^{5}\right)} x - 2 \, {\left({\left(a^{5} b^{2} - 5 \, a^{4} b^{3} + 10 \, a^{3} b^{4} - 10 \, a^{2} b^{5} + 5 \, a b^{6} - b^{7}\right)} c^{4} d^{5} + 3 \, {\left(a^{5} b^{2} - 5 \, a^{4} b^{3} + 10 \, a^{3} b^{4} - 10 \, a^{2} b^{5} + 5 \, a b^{6} - b^{7}\right)} c^{2} d^{6} + {\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{4} d^{5} + 3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{2} d^{6}\right)} x^{2} - 2 \, {\left({\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{4} d^{5} + 3 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{2} d^{6}\right)} x\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}}\right)} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} + 3 \, c^{2} + d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} + 3 \, c^{2} + d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}} - 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(\sqrt{3} {\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{7} d^{4} + 3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{5} d^{5} - {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{3} d^{6} - 3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c d^{7}\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} - 2 \, \sqrt{3} {\left({\left(a^{2} - 2 \, a b + b^{2}\right)} c^{9} d^{2} + 5 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{7} d^{3} + 3 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{5} d^{4} - 9 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{3} d^{5}\right)}\right)} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} + 3 \, c^{2} + d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}} + \sqrt{3} {\left(b c^{12} + 3 \, b c^{10} d - 6 \, b c^{8} d^{2} - 10 \, b c^{6} d^{3} + 21 \, b c^{4} d^{4} - 9 \, b c^{2} d^{5} - {\left(c^{12} + 3 \, c^{10} d - 6 \, c^{8} d^{2} - 10 \, c^{6} d^{3} + 21 \, c^{4} d^{4} - 9 \, c^{2} d^{5}\right)} x\right)}}{3 \, {\left(b c^{12} + 3 \, b c^{10} d - 6 \, b c^{8} d^{2} - 10 \, b c^{6} d^{3} + 21 \, b c^{4} d^{4} - 9 \, b c^{2} d^{5} - {\left(c^{12} + 3 \, c^{10} d - 6 \, c^{8} d^{2} - 10 \, c^{6} d^{3} + 21 \, c^{4} d^{4} - 9 \, c^{2} d^{5}\right)} x\right)}}\right) + \sqrt{3} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} - 3 \, c^{2} - d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, {\left(\sqrt{3} {\left({\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{2} d^{4} + {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} d^{5} - {\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{2} d^{4} + {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d^{5}\right)} x\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} + 2 \, \sqrt{3} {\left({\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{4} d^{2} + 3 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{2} d^{3} - {\left({\left(a^{2} - 2 \, a b + b^{2}\right)} c^{4} d^{2} + 3 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{2} d^{3}\right)} x\right)}\right)} \sqrt{\frac{{\left(c^{10} + 4 \, c^{8} d - 2 \, c^{6} d^{2} - 12 \, c^{4} d^{3} + 9 \, c^{2} d^{4}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} + {\left({\left(a b - b^{2}\right)} c^{9} d + 5 \, {\left(a b - b^{2}\right)} c^{7} d^{2} + 3 \, {\left(a b - b^{2}\right)} c^{5} d^{3} - 9 \, {\left(a b - b^{2}\right)} c^{3} d^{4} - {\left({\left(a - b\right)} c^{9} d + 5 \, {\left(a - b\right)} c^{7} d^{2} + 3 \, {\left(a - b\right)} c^{5} d^{3} - 9 \, {\left(a - b\right)} c^{3} d^{4}\right)} x + {\left({\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{5} d^{4} + 2 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{3} d^{5} - 3 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c d^{6} - {\left({\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{5} d^{4} + 2 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{3} d^{5} - 3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c d^{6}\right)} x\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} - 3 \, c^{2} - d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} + {\left({\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{8} d^{2} + 7 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{6} d^{3} + 15 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{4} d^{4} + 9 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{2} d^{5} + {\left({\left(a^{2} - 2 \, a b + b^{2}\right)} c^{8} d^{2} + 7 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{6} d^{3} + 15 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{4} d^{4} + 9 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{2} d^{5}\right)} x^{2} - 2 \, {\left({\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{8} d^{2} + 7 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{6} d^{3} + 15 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{4} d^{4} + 9 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{2} d^{5}\right)} x + 2 \, {\left({\left(a^{5} b^{2} - 5 \, a^{4} b^{3} + 10 \, a^{3} b^{4} - 10 \, a^{2} b^{5} + 5 \, a b^{6} - b^{7}\right)} c^{4} d^{5} + 3 \, {\left(a^{5} b^{2} - 5 \, a^{4} b^{3} + 10 \, a^{3} b^{4} - 10 \, a^{2} b^{5} + 5 \, a b^{6} - b^{7}\right)} c^{2} d^{6} + {\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{4} d^{5} + 3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{2} d^{6}\right)} x^{2} - 2 \, {\left({\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{4} d^{5} + 3 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{2} d^{6}\right)} x\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}}\right)} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} - 3 \, c^{2} - d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} - 3 \, c^{2} - d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}} - 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(\sqrt{3} {\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{7} d^{4} + 3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{5} d^{5} - {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{3} d^{6} - 3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c d^{7}\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} + 2 \, \sqrt{3} {\left({\left(a^{2} - 2 \, a b + b^{2}\right)} c^{9} d^{2} + 5 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{7} d^{3} + 3 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{5} d^{4} - 9 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{3} d^{5}\right)}\right)} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} - 3 \, c^{2} - d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}} - \sqrt{3} {\left(b c^{12} + 3 \, b c^{10} d - 6 \, b c^{8} d^{2} - 10 \, b c^{6} d^{3} + 21 \, b c^{4} d^{4} - 9 \, b c^{2} d^{5} - {\left(c^{12} + 3 \, c^{10} d - 6 \, c^{8} d^{2} - 10 \, c^{6} d^{3} + 21 \, c^{4} d^{4} - 9 \, c^{2} d^{5}\right)} x\right)}}{3 \, {\left(b c^{12} + 3 \, b c^{10} d - 6 \, b c^{8} d^{2} - 10 \, b c^{6} d^{3} + 21 \, b c^{4} d^{4} - 9 \, b c^{2} d^{5} - {\left(c^{12} + 3 \, c^{10} d - 6 \, c^{8} d^{2} - 10 \, c^{6} d^{3} + 21 \, c^{4} d^{4} - 9 \, c^{2} d^{5}\right)} x\right)}}\right) - \frac{1}{4} \, \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} + 3 \, c^{2} + d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(c^{10} + 4 \, c^{8} d - 2 \, c^{6} d^{2} - 12 \, c^{4} d^{3} + 9 \, c^{2} d^{4}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} + {\left({\left(a b - b^{2}\right)} c^{9} d + 5 \, {\left(a b - b^{2}\right)} c^{7} d^{2} + 3 \, {\left(a b - b^{2}\right)} c^{5} d^{3} - 9 \, {\left(a b - b^{2}\right)} c^{3} d^{4} - {\left({\left(a - b\right)} c^{9} d + 5 \, {\left(a - b\right)} c^{7} d^{2} + 3 \, {\left(a - b\right)} c^{5} d^{3} - 9 \, {\left(a - b\right)} c^{3} d^{4}\right)} x - {\left({\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{5} d^{4} + 2 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{3} d^{5} - 3 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c d^{6} - {\left({\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{5} d^{4} + 2 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{3} d^{5} - 3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c d^{6}\right)} x\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} + 3 \, c^{2} + d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} + {\left({\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{8} d^{2} + 7 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{6} d^{3} + 15 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{4} d^{4} + 9 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{2} d^{5} + {\left({\left(a^{2} - 2 \, a b + b^{2}\right)} c^{8} d^{2} + 7 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{6} d^{3} + 15 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{4} d^{4} + 9 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{2} d^{5}\right)} x^{2} - 2 \, {\left({\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{8} d^{2} + 7 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{6} d^{3} + 15 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{4} d^{4} + 9 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{2} d^{5}\right)} x - 2 \, {\left({\left(a^{5} b^{2} - 5 \, a^{4} b^{3} + 10 \, a^{3} b^{4} - 10 \, a^{2} b^{5} + 5 \, a b^{6} - b^{7}\right)} c^{4} d^{5} + 3 \, {\left(a^{5} b^{2} - 5 \, a^{4} b^{3} + 10 \, a^{3} b^{4} - 10 \, a^{2} b^{5} + 5 \, a b^{6} - b^{7}\right)} c^{2} d^{6} + {\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{4} d^{5} + 3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{2} d^{6}\right)} x^{2} - 2 \, {\left({\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{4} d^{5} + 3 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{2} d^{6}\right)} x\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}}\right)} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} + 3 \, c^{2} + d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}\right) - \frac{1}{4} \, \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} - 3 \, c^{2} - d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(c^{10} + 4 \, c^{8} d - 2 \, c^{6} d^{2} - 12 \, c^{4} d^{3} + 9 \, c^{2} d^{4}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} + {\left({\left(a b - b^{2}\right)} c^{9} d + 5 \, {\left(a b - b^{2}\right)} c^{7} d^{2} + 3 \, {\left(a b - b^{2}\right)} c^{5} d^{3} - 9 \, {\left(a b - b^{2}\right)} c^{3} d^{4} - {\left({\left(a - b\right)} c^{9} d + 5 \, {\left(a - b\right)} c^{7} d^{2} + 3 \, {\left(a - b\right)} c^{5} d^{3} - 9 \, {\left(a - b\right)} c^{3} d^{4}\right)} x + {\left({\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{5} d^{4} + 2 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{3} d^{5} - 3 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c d^{6} - {\left({\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{5} d^{4} + 2 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{3} d^{5} - 3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c d^{6}\right)} x\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} - 3 \, c^{2} - d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} + {\left({\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{8} d^{2} + 7 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{6} d^{3} + 15 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{4} d^{4} + 9 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{2} d^{5} + {\left({\left(a^{2} - 2 \, a b + b^{2}\right)} c^{8} d^{2} + 7 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{6} d^{3} + 15 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{4} d^{4} + 9 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{2} d^{5}\right)} x^{2} - 2 \, {\left({\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{8} d^{2} + 7 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{6} d^{3} + 15 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{4} d^{4} + 9 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{2} d^{5}\right)} x + 2 \, {\left({\left(a^{5} b^{2} - 5 \, a^{4} b^{3} + 10 \, a^{3} b^{4} - 10 \, a^{2} b^{5} + 5 \, a b^{6} - b^{7}\right)} c^{4} d^{5} + 3 \, {\left(a^{5} b^{2} - 5 \, a^{4} b^{3} + 10 \, a^{3} b^{4} - 10 \, a^{2} b^{5} + 5 \, a b^{6} - b^{7}\right)} c^{2} d^{6} + {\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{4} d^{5} + 3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{2} d^{6}\right)} x^{2} - 2 \, {\left({\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{4} d^{5} + 3 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{2} d^{6}\right)} x\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}}\right)} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} - 3 \, c^{2} - d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}\right) + \frac{1}{2} \, \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} + 3 \, c^{2} + d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(c^{5} + 2 \, c^{3} d - 3 \, c d^{2}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} - {\left({\left(a b - b^{2}\right)} c^{4} d + 3 \, {\left(a b - b^{2}\right)} c^{2} d^{2} - {\left({\left(a - b\right)} c^{4} d + 3 \, {\left(a - b\right)} c^{2} d^{2}\right)} x + {\left({\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d^{4} x - {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} d^{4}\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}}\right)} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} + 3 \, c^{2} + d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}}}{b - x}\right) + \frac{1}{2} \, \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} - 3 \, c^{2} - d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(c^{5} + 2 \, c^{3} d - 3 \, c d^{2}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} - {\left({\left(a b - b^{2}\right)} c^{4} d + 3 \, {\left(a b - b^{2}\right)} c^{2} d^{2} - {\left({\left(a - b\right)} c^{4} d + 3 \, {\left(a - b\right)} c^{2} d^{2}\right)} x - {\left({\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d^{4} x - {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} d^{4}\right)} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}}\right)} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{c^{6} + 6 \, c^{4} d + 9 \, c^{2} d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{5}}} - 3 \, c^{2} - d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}}}{b - x}\right)"," ",0,"-sqrt(3)*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) + 3*c^2 + d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3)*arctan(1/3*(2*(sqrt(3)*((a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^2*d^4 + (a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*d^5 - ((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^2*d^4 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d^5)*x)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) - 2*sqrt(3)*((a^2*b - 2*a*b^2 + b^3)*c^4*d^2 + 3*(a^2*b - 2*a*b^2 + b^3)*c^2*d^3 - ((a^2 - 2*a*b + b^2)*c^4*d^2 + 3*(a^2 - 2*a*b + b^2)*c^2*d^3)*x))*sqrt(((c^10 + 4*c^8*d - 2*c^6*d^2 - 12*c^4*d^3 + 9*c^2*d^4)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3) + ((a*b - b^2)*c^9*d + 5*(a*b - b^2)*c^7*d^2 + 3*(a*b - b^2)*c^5*d^3 - 9*(a*b - b^2)*c^3*d^4 - ((a - b)*c^9*d + 5*(a - b)*c^7*d^2 + 3*(a - b)*c^5*d^3 - 9*(a - b)*c^3*d^4)*x - ((a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^5*d^4 + 2*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^3*d^5 - 3*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c*d^6 - ((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^5*d^4 + 2*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^3*d^5 - 3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c*d^6)*x)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)))*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) + 3*c^2 + d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3) + ((a^2*b^2 - 2*a*b^3 + b^4)*c^8*d^2 + 7*(a^2*b^2 - 2*a*b^3 + b^4)*c^6*d^3 + 15*(a^2*b^2 - 2*a*b^3 + b^4)*c^4*d^4 + 9*(a^2*b^2 - 2*a*b^3 + b^4)*c^2*d^5 + ((a^2 - 2*a*b + b^2)*c^8*d^2 + 7*(a^2 - 2*a*b + b^2)*c^6*d^3 + 15*(a^2 - 2*a*b + b^2)*c^4*d^4 + 9*(a^2 - 2*a*b + b^2)*c^2*d^5)*x^2 - 2*((a^2*b - 2*a*b^2 + b^3)*c^8*d^2 + 7*(a^2*b - 2*a*b^2 + b^3)*c^6*d^3 + 15*(a^2*b - 2*a*b^2 + b^3)*c^4*d^4 + 9*(a^2*b - 2*a*b^2 + b^3)*c^2*d^5)*x - 2*((a^5*b^2 - 5*a^4*b^3 + 10*a^3*b^4 - 10*a^2*b^5 + 5*a*b^6 - b^7)*c^4*d^5 + 3*(a^5*b^2 - 5*a^4*b^3 + 10*a^3*b^4 - 10*a^2*b^5 + 5*a*b^6 - b^7)*c^2*d^6 + ((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^4*d^5 + 3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^2*d^6)*x^2 - 2*((a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^4*d^5 + 3*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^2*d^6)*x)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)))*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) + 3*c^2 + d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3))/(b^2 - 2*b*x + x^2))*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) + 3*c^2 + d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3) - 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(sqrt(3)*((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^7*d^4 + 3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^5*d^5 - (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^3*d^6 - 3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c*d^7)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) - 2*sqrt(3)*((a^2 - 2*a*b + b^2)*c^9*d^2 + 5*(a^2 - 2*a*b + b^2)*c^7*d^3 + 3*(a^2 - 2*a*b + b^2)*c^5*d^4 - 9*(a^2 - 2*a*b + b^2)*c^3*d^5))*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) + 3*c^2 + d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3) + sqrt(3)*(b*c^12 + 3*b*c^10*d - 6*b*c^8*d^2 - 10*b*c^6*d^3 + 21*b*c^4*d^4 - 9*b*c^2*d^5 - (c^12 + 3*c^10*d - 6*c^8*d^2 - 10*c^6*d^3 + 21*c^4*d^4 - 9*c^2*d^5)*x))/(b*c^12 + 3*b*c^10*d - 6*b*c^8*d^2 - 10*b*c^6*d^3 + 21*b*c^4*d^4 - 9*b*c^2*d^5 - (c^12 + 3*c^10*d - 6*c^8*d^2 - 10*c^6*d^3 + 21*c^4*d^4 - 9*c^2*d^5)*x)) + sqrt(3)*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) - 3*c^2 - d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3)*arctan(1/3*(2*(sqrt(3)*((a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^2*d^4 + (a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*d^5 - ((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^2*d^4 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d^5)*x)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) + 2*sqrt(3)*((a^2*b - 2*a*b^2 + b^3)*c^4*d^2 + 3*(a^2*b - 2*a*b^2 + b^3)*c^2*d^3 - ((a^2 - 2*a*b + b^2)*c^4*d^2 + 3*(a^2 - 2*a*b + b^2)*c^2*d^3)*x))*sqrt(((c^10 + 4*c^8*d - 2*c^6*d^2 - 12*c^4*d^3 + 9*c^2*d^4)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3) + ((a*b - b^2)*c^9*d + 5*(a*b - b^2)*c^7*d^2 + 3*(a*b - b^2)*c^5*d^3 - 9*(a*b - b^2)*c^3*d^4 - ((a - b)*c^9*d + 5*(a - b)*c^7*d^2 + 3*(a - b)*c^5*d^3 - 9*(a - b)*c^3*d^4)*x + ((a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^5*d^4 + 2*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^3*d^5 - 3*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c*d^6 - ((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^5*d^4 + 2*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^3*d^5 - 3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c*d^6)*x)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)))*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) - 3*c^2 - d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3) + ((a^2*b^2 - 2*a*b^3 + b^4)*c^8*d^2 + 7*(a^2*b^2 - 2*a*b^3 + b^4)*c^6*d^3 + 15*(a^2*b^2 - 2*a*b^3 + b^4)*c^4*d^4 + 9*(a^2*b^2 - 2*a*b^3 + b^4)*c^2*d^5 + ((a^2 - 2*a*b + b^2)*c^8*d^2 + 7*(a^2 - 2*a*b + b^2)*c^6*d^3 + 15*(a^2 - 2*a*b + b^2)*c^4*d^4 + 9*(a^2 - 2*a*b + b^2)*c^2*d^5)*x^2 - 2*((a^2*b - 2*a*b^2 + b^3)*c^8*d^2 + 7*(a^2*b - 2*a*b^2 + b^3)*c^6*d^3 + 15*(a^2*b - 2*a*b^2 + b^3)*c^4*d^4 + 9*(a^2*b - 2*a*b^2 + b^3)*c^2*d^5)*x + 2*((a^5*b^2 - 5*a^4*b^3 + 10*a^3*b^4 - 10*a^2*b^5 + 5*a*b^6 - b^7)*c^4*d^5 + 3*(a^5*b^2 - 5*a^4*b^3 + 10*a^3*b^4 - 10*a^2*b^5 + 5*a*b^6 - b^7)*c^2*d^6 + ((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^4*d^5 + 3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^2*d^6)*x^2 - 2*((a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^4*d^5 + 3*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^2*d^6)*x)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)))*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) - 3*c^2 - d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3))/(b^2 - 2*b*x + x^2))*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) - 3*c^2 - d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3) - 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(sqrt(3)*((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^7*d^4 + 3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^5*d^5 - (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^3*d^6 - 3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c*d^7)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) + 2*sqrt(3)*((a^2 - 2*a*b + b^2)*c^9*d^2 + 5*(a^2 - 2*a*b + b^2)*c^7*d^3 + 3*(a^2 - 2*a*b + b^2)*c^5*d^4 - 9*(a^2 - 2*a*b + b^2)*c^3*d^5))*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) - 3*c^2 - d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3) - sqrt(3)*(b*c^12 + 3*b*c^10*d - 6*b*c^8*d^2 - 10*b*c^6*d^3 + 21*b*c^4*d^4 - 9*b*c^2*d^5 - (c^12 + 3*c^10*d - 6*c^8*d^2 - 10*c^6*d^3 + 21*c^4*d^4 - 9*c^2*d^5)*x))/(b*c^12 + 3*b*c^10*d - 6*b*c^8*d^2 - 10*b*c^6*d^3 + 21*b*c^4*d^4 - 9*b*c^2*d^5 - (c^12 + 3*c^10*d - 6*c^8*d^2 - 10*c^6*d^3 + 21*c^4*d^4 - 9*c^2*d^5)*x)) - 1/4*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) + 3*c^2 + d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3)*log(((c^10 + 4*c^8*d - 2*c^6*d^2 - 12*c^4*d^3 + 9*c^2*d^4)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3) + ((a*b - b^2)*c^9*d + 5*(a*b - b^2)*c^7*d^2 + 3*(a*b - b^2)*c^5*d^3 - 9*(a*b - b^2)*c^3*d^4 - ((a - b)*c^9*d + 5*(a - b)*c^7*d^2 + 3*(a - b)*c^5*d^3 - 9*(a - b)*c^3*d^4)*x - ((a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^5*d^4 + 2*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^3*d^5 - 3*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c*d^6 - ((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^5*d^4 + 2*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^3*d^5 - 3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c*d^6)*x)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)))*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) + 3*c^2 + d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3) + ((a^2*b^2 - 2*a*b^3 + b^4)*c^8*d^2 + 7*(a^2*b^2 - 2*a*b^3 + b^4)*c^6*d^3 + 15*(a^2*b^2 - 2*a*b^3 + b^4)*c^4*d^4 + 9*(a^2*b^2 - 2*a*b^3 + b^4)*c^2*d^5 + ((a^2 - 2*a*b + b^2)*c^8*d^2 + 7*(a^2 - 2*a*b + b^2)*c^6*d^3 + 15*(a^2 - 2*a*b + b^2)*c^4*d^4 + 9*(a^2 - 2*a*b + b^2)*c^2*d^5)*x^2 - 2*((a^2*b - 2*a*b^2 + b^3)*c^8*d^2 + 7*(a^2*b - 2*a*b^2 + b^3)*c^6*d^3 + 15*(a^2*b - 2*a*b^2 + b^3)*c^4*d^4 + 9*(a^2*b - 2*a*b^2 + b^3)*c^2*d^5)*x - 2*((a^5*b^2 - 5*a^4*b^3 + 10*a^3*b^4 - 10*a^2*b^5 + 5*a*b^6 - b^7)*c^4*d^5 + 3*(a^5*b^2 - 5*a^4*b^3 + 10*a^3*b^4 - 10*a^2*b^5 + 5*a*b^6 - b^7)*c^2*d^6 + ((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^4*d^5 + 3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^2*d^6)*x^2 - 2*((a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^4*d^5 + 3*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^2*d^6)*x)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)))*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) + 3*c^2 + d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3))/(b^2 - 2*b*x + x^2)) - 1/4*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) - 3*c^2 - d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3)*log(((c^10 + 4*c^8*d - 2*c^6*d^2 - 12*c^4*d^3 + 9*c^2*d^4)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3) + ((a*b - b^2)*c^9*d + 5*(a*b - b^2)*c^7*d^2 + 3*(a*b - b^2)*c^5*d^3 - 9*(a*b - b^2)*c^3*d^4 - ((a - b)*c^9*d + 5*(a - b)*c^7*d^2 + 3*(a - b)*c^5*d^3 - 9*(a - b)*c^3*d^4)*x + ((a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^5*d^4 + 2*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^3*d^5 - 3*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c*d^6 - ((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^5*d^4 + 2*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^3*d^5 - 3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c*d^6)*x)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)))*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) - 3*c^2 - d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3) + ((a^2*b^2 - 2*a*b^3 + b^4)*c^8*d^2 + 7*(a^2*b^2 - 2*a*b^3 + b^4)*c^6*d^3 + 15*(a^2*b^2 - 2*a*b^3 + b^4)*c^4*d^4 + 9*(a^2*b^2 - 2*a*b^3 + b^4)*c^2*d^5 + ((a^2 - 2*a*b + b^2)*c^8*d^2 + 7*(a^2 - 2*a*b + b^2)*c^6*d^3 + 15*(a^2 - 2*a*b + b^2)*c^4*d^4 + 9*(a^2 - 2*a*b + b^2)*c^2*d^5)*x^2 - 2*((a^2*b - 2*a*b^2 + b^3)*c^8*d^2 + 7*(a^2*b - 2*a*b^2 + b^3)*c^6*d^3 + 15*(a^2*b - 2*a*b^2 + b^3)*c^4*d^4 + 9*(a^2*b - 2*a*b^2 + b^3)*c^2*d^5)*x + 2*((a^5*b^2 - 5*a^4*b^3 + 10*a^3*b^4 - 10*a^2*b^5 + 5*a*b^6 - b^7)*c^4*d^5 + 3*(a^5*b^2 - 5*a^4*b^3 + 10*a^3*b^4 - 10*a^2*b^5 + 5*a*b^6 - b^7)*c^2*d^6 + ((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^4*d^5 + 3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^2*d^6)*x^2 - 2*((a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^4*d^5 + 3*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^2*d^6)*x)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)))*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) - 3*c^2 - d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3))/(b^2 - 2*b*x + x^2)) + 1/2*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) + 3*c^2 + d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3)*log(((c^5 + 2*c^3*d - 3*c*d^2)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3) - ((a*b - b^2)*c^4*d + 3*(a*b - b^2)*c^2*d^2 - ((a - b)*c^4*d + 3*(a - b)*c^2*d^2)*x + ((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d^4*x - (a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*d^4)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)))*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) + 3*c^2 + d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3))/(b - x)) + 1/2*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) - 3*c^2 - d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3)*log(((c^5 + 2*c^3*d - 3*c*d^2)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3) - ((a*b - b^2)*c^4*d + 3*(a*b - b^2)*c^2*d^2 - ((a - b)*c^4*d + 3*(a - b)*c^2*d^2)*x - ((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d^4*x - (a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*d^4)*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)))*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((c^6 + 6*c^4*d + 9*c^2*d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^5)) - 3*c^2 - d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3))/(b - x))","B",0
3152,1,9468,0,1.344504," ","integrate((-b+x)*(-b-a*c+(1+c)*x)/((-a+x)*(-b+x)^2)^(2/3)/(-b^2+a^2*d+2*(-a*d+b)*x+(-1+d)*x^2),x, algorithm=""fricas"")","-\sqrt{3} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} + c^{3} + 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, {\left(\sqrt{3} {\left({\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{2} d^{3} + {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} d^{4} - {\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{2} d^{3} + {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d^{4}\right)} x\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} - 2 \, \sqrt{3} {\left(3 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{3} d^{2} + {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c d^{3} - {\left(3 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{3} d^{2} + {\left(a^{2} - 2 \, a b + b^{2}\right)} c d^{3}\right)} x\right)}\right)} \sqrt{\frac{{\left(9 \, c^{8} - 12 \, c^{6} d - 2 \, c^{4} d^{2} + 4 \, c^{2} d^{3} + d^{4}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} + {\left(9 \, {\left(a b - b^{2}\right)} c^{6} d - 3 \, {\left(a b - b^{2}\right)} c^{4} d^{2} - 5 \, {\left(a b - b^{2}\right)} c^{2} d^{3} - {\left(a b - b^{2}\right)} d^{4} - {\left(9 \, {\left(a - b\right)} c^{6} d - 3 \, {\left(a - b\right)} c^{4} d^{2} - 5 \, {\left(a - b\right)} c^{2} d^{3} - {\left(a - b\right)} d^{4}\right)} x - {\left(3 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{5} d^{2} - 2 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{3} d^{3} - {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c d^{4} - {\left(3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{5} d^{2} - 2 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{3} d^{3} - {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c d^{4}\right)} x\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} + c^{3} + 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} + {\left(9 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{6} d + 15 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{4} d^{2} + 7 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{2} d^{3} + {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} d^{4} + {\left(9 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{6} d + 15 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{4} d^{2} + 7 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{2} d^{3} + {\left(a^{2} - 2 \, a b + b^{2}\right)} d^{4}\right)} x^{2} - 2 \, {\left(9 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{6} d + 15 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{4} d^{2} + 7 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{2} d^{3} + {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} d^{4}\right)} x - 2 \, {\left(3 \, {\left(a^{5} b^{2} - 5 \, a^{4} b^{3} + 10 \, a^{3} b^{4} - 10 \, a^{2} b^{5} + 5 \, a b^{6} - b^{7}\right)} c^{3} d^{3} + {\left(a^{5} b^{2} - 5 \, a^{4} b^{3} + 10 \, a^{3} b^{4} - 10 \, a^{2} b^{5} + 5 \, a b^{6} - b^{7}\right)} c d^{4} + {\left(3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{3} d^{3} + {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c d^{4}\right)} x^{2} - 2 \, {\left(3 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{3} d^{3} + {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c d^{4}\right)} x\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}}\right)} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} + c^{3} + 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} + c^{3} + 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}} - 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(\sqrt{3} {\left(3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{6} d^{3} + {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{4} d^{4} - 3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{2} d^{5} - {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d^{6}\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} - 2 \, \sqrt{3} {\left(9 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{7} d^{2} - 3 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{5} d^{3} - 5 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{3} d^{4} - {\left(a^{2} - 2 \, a b + b^{2}\right)} c d^{5}\right)}\right)} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} + c^{3} + 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}} + \sqrt{3} {\left(9 \, b c^{10} - 21 \, b c^{8} d + 10 \, b c^{6} d^{2} + 6 \, b c^{4} d^{3} - 3 \, b c^{2} d^{4} - b d^{5} - {\left(9 \, c^{10} - 21 \, c^{8} d + 10 \, c^{6} d^{2} + 6 \, c^{4} d^{3} - 3 \, c^{2} d^{4} - d^{5}\right)} x\right)}}{3 \, {\left(9 \, b c^{10} - 21 \, b c^{8} d + 10 \, b c^{6} d^{2} + 6 \, b c^{4} d^{3} - 3 \, b c^{2} d^{4} - b d^{5} - {\left(9 \, c^{10} - 21 \, c^{8} d + 10 \, c^{6} d^{2} + 6 \, c^{4} d^{3} - 3 \, c^{2} d^{4} - d^{5}\right)} x\right)}}\right) + \sqrt{3} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} - c^{3} - 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, {\left(\sqrt{3} {\left({\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{2} d^{3} + {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} d^{4} - {\left({\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{2} d^{3} + {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d^{4}\right)} x\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} + 2 \, \sqrt{3} {\left(3 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{3} d^{2} + {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c d^{3} - {\left(3 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{3} d^{2} + {\left(a^{2} - 2 \, a b + b^{2}\right)} c d^{3}\right)} x\right)}\right)} \sqrt{\frac{{\left(9 \, c^{8} - 12 \, c^{6} d - 2 \, c^{4} d^{2} + 4 \, c^{2} d^{3} + d^{4}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} + {\left(9 \, {\left(a b - b^{2}\right)} c^{6} d - 3 \, {\left(a b - b^{2}\right)} c^{4} d^{2} - 5 \, {\left(a b - b^{2}\right)} c^{2} d^{3} - {\left(a b - b^{2}\right)} d^{4} - {\left(9 \, {\left(a - b\right)} c^{6} d - 3 \, {\left(a - b\right)} c^{4} d^{2} - 5 \, {\left(a - b\right)} c^{2} d^{3} - {\left(a - b\right)} d^{4}\right)} x + {\left(3 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{5} d^{2} - 2 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{3} d^{3} - {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c d^{4} - {\left(3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{5} d^{2} - 2 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{3} d^{3} - {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c d^{4}\right)} x\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} - c^{3} - 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} + {\left(9 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{6} d + 15 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{4} d^{2} + 7 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{2} d^{3} + {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} d^{4} + {\left(9 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{6} d + 15 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{4} d^{2} + 7 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{2} d^{3} + {\left(a^{2} - 2 \, a b + b^{2}\right)} d^{4}\right)} x^{2} - 2 \, {\left(9 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{6} d + 15 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{4} d^{2} + 7 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{2} d^{3} + {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} d^{4}\right)} x + 2 \, {\left(3 \, {\left(a^{5} b^{2} - 5 \, a^{4} b^{3} + 10 \, a^{3} b^{4} - 10 \, a^{2} b^{5} + 5 \, a b^{6} - b^{7}\right)} c^{3} d^{3} + {\left(a^{5} b^{2} - 5 \, a^{4} b^{3} + 10 \, a^{3} b^{4} - 10 \, a^{2} b^{5} + 5 \, a b^{6} - b^{7}\right)} c d^{4} + {\left(3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{3} d^{3} + {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c d^{4}\right)} x^{2} - 2 \, {\left(3 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{3} d^{3} + {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c d^{4}\right)} x\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}}\right)} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} - c^{3} - 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} - c^{3} - 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}} - 2 \, {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} {\left(\sqrt{3} {\left(3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{6} d^{3} + {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{4} d^{4} - 3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{2} d^{5} - {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d^{6}\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} + 2 \, \sqrt{3} {\left(9 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{7} d^{2} - 3 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{5} d^{3} - 5 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{3} d^{4} - {\left(a^{2} - 2 \, a b + b^{2}\right)} c d^{5}\right)}\right)} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} - c^{3} - 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}} - \sqrt{3} {\left(9 \, b c^{10} - 21 \, b c^{8} d + 10 \, b c^{6} d^{2} + 6 \, b c^{4} d^{3} - 3 \, b c^{2} d^{4} - b d^{5} - {\left(9 \, c^{10} - 21 \, c^{8} d + 10 \, c^{6} d^{2} + 6 \, c^{4} d^{3} - 3 \, c^{2} d^{4} - d^{5}\right)} x\right)}}{3 \, {\left(9 \, b c^{10} - 21 \, b c^{8} d + 10 \, b c^{6} d^{2} + 6 \, b c^{4} d^{3} - 3 \, b c^{2} d^{4} - b d^{5} - {\left(9 \, c^{10} - 21 \, c^{8} d + 10 \, c^{6} d^{2} + 6 \, c^{4} d^{3} - 3 \, c^{2} d^{4} - d^{5}\right)} x\right)}}\right) - \frac{1}{4} \, \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} + c^{3} + 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(9 \, c^{8} - 12 \, c^{6} d - 2 \, c^{4} d^{2} + 4 \, c^{2} d^{3} + d^{4}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} + {\left(9 \, {\left(a b - b^{2}\right)} c^{6} d - 3 \, {\left(a b - b^{2}\right)} c^{4} d^{2} - 5 \, {\left(a b - b^{2}\right)} c^{2} d^{3} - {\left(a b - b^{2}\right)} d^{4} - {\left(9 \, {\left(a - b\right)} c^{6} d - 3 \, {\left(a - b\right)} c^{4} d^{2} - 5 \, {\left(a - b\right)} c^{2} d^{3} - {\left(a - b\right)} d^{4}\right)} x - {\left(3 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{5} d^{2} - 2 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{3} d^{3} - {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c d^{4} - {\left(3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{5} d^{2} - 2 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{3} d^{3} - {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c d^{4}\right)} x\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} + c^{3} + 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} + {\left(9 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{6} d + 15 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{4} d^{2} + 7 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{2} d^{3} + {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} d^{4} + {\left(9 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{6} d + 15 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{4} d^{2} + 7 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{2} d^{3} + {\left(a^{2} - 2 \, a b + b^{2}\right)} d^{4}\right)} x^{2} - 2 \, {\left(9 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{6} d + 15 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{4} d^{2} + 7 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{2} d^{3} + {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} d^{4}\right)} x - 2 \, {\left(3 \, {\left(a^{5} b^{2} - 5 \, a^{4} b^{3} + 10 \, a^{3} b^{4} - 10 \, a^{2} b^{5} + 5 \, a b^{6} - b^{7}\right)} c^{3} d^{3} + {\left(a^{5} b^{2} - 5 \, a^{4} b^{3} + 10 \, a^{3} b^{4} - 10 \, a^{2} b^{5} + 5 \, a b^{6} - b^{7}\right)} c d^{4} + {\left(3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{3} d^{3} + {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c d^{4}\right)} x^{2} - 2 \, {\left(3 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{3} d^{3} + {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c d^{4}\right)} x\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}}\right)} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} + c^{3} + 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}\right) - \frac{1}{4} \, \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} - c^{3} - 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(9 \, c^{8} - 12 \, c^{6} d - 2 \, c^{4} d^{2} + 4 \, c^{2} d^{3} + d^{4}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{2}{3}} + {\left(9 \, {\left(a b - b^{2}\right)} c^{6} d - 3 \, {\left(a b - b^{2}\right)} c^{4} d^{2} - 5 \, {\left(a b - b^{2}\right)} c^{2} d^{3} - {\left(a b - b^{2}\right)} d^{4} - {\left(9 \, {\left(a - b\right)} c^{6} d - 3 \, {\left(a - b\right)} c^{4} d^{2} - 5 \, {\left(a - b\right)} c^{2} d^{3} - {\left(a - b\right)} d^{4}\right)} x + {\left(3 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{5} d^{2} - 2 \, {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c^{3} d^{3} - {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c d^{4} - {\left(3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{5} d^{2} - 2 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c^{3} d^{3} - {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c d^{4}\right)} x\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} - c^{3} - 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} + {\left(9 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{6} d + 15 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{4} d^{2} + 7 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} c^{2} d^{3} + {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} d^{4} + {\left(9 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{6} d + 15 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{4} d^{2} + 7 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} c^{2} d^{3} + {\left(a^{2} - 2 \, a b + b^{2}\right)} d^{4}\right)} x^{2} - 2 \, {\left(9 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{6} d + 15 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{4} d^{2} + 7 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} c^{2} d^{3} + {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} d^{4}\right)} x + 2 \, {\left(3 \, {\left(a^{5} b^{2} - 5 \, a^{4} b^{3} + 10 \, a^{3} b^{4} - 10 \, a^{2} b^{5} + 5 \, a b^{6} - b^{7}\right)} c^{3} d^{3} + {\left(a^{5} b^{2} - 5 \, a^{4} b^{3} + 10 \, a^{3} b^{4} - 10 \, a^{2} b^{5} + 5 \, a b^{6} - b^{7}\right)} c d^{4} + {\left(3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c^{3} d^{3} + {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} c d^{4}\right)} x^{2} - 2 \, {\left(3 \, {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c^{3} d^{3} + {\left(a^{5} b - 5 \, a^{4} b^{2} + 10 \, a^{3} b^{3} - 10 \, a^{2} b^{4} + 5 \, a b^{5} - b^{6}\right)} c d^{4}\right)} x\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}}\right)} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} - c^{3} - 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{2}{3}}}{b^{2} - 2 \, b x + x^{2}}\right) + \frac{1}{2} \, \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} + c^{3} + 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(3 \, c^{4} - 2 \, c^{2} d - d^{2}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} - {\left(3 \, {\left(a b - b^{2}\right)} c^{2} d + {\left(a b - b^{2}\right)} d^{2} - {\left(3 \, {\left(a - b\right)} c^{2} d + {\left(a - b\right)} d^{2}\right)} x + {\left({\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c d^{2} x - {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c d^{2}\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}}\right)} \left(\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} + c^{3} + 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}}}{b - x}\right) + \frac{1}{2} \, \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} - c^{3} - 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}} \log\left(\frac{{\left(3 \, c^{4} - 2 \, c^{2} d - d^{2}\right)} {\left(-a b^{2} - {\left(a + 2 \, b\right)} x^{2} + x^{3} + {\left(2 \, a b + b^{2}\right)} x\right)}^{\frac{1}{3}} - {\left(3 \, {\left(a b - b^{2}\right)} c^{2} d + {\left(a b - b^{2}\right)} d^{2} - {\left(3 \, {\left(a - b\right)} c^{2} d + {\left(a - b\right)} d^{2}\right)} x - {\left({\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} c d^{2} x - {\left(a^{4} b - 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 4 \, a b^{4} + b^{5}\right)} c d^{2}\right)} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}}\right)} \left(-\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2} \sqrt{\frac{9 \, c^{4} + 6 \, c^{2} d + d^{2}}{{\left(a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}\right)} d^{3}}} - c^{3} - 3 \, c d}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d^{2}}\right)^{\frac{1}{3}}}{b - x}\right)"," ",0,"-sqrt(3)*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) + c^3 + 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3)*arctan(1/3*(2*(sqrt(3)*((a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^2*d^3 + (a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*d^4 - ((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^2*d^3 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d^4)*x)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) - 2*sqrt(3)*(3*(a^2*b - 2*a*b^2 + b^3)*c^3*d^2 + (a^2*b - 2*a*b^2 + b^3)*c*d^3 - (3*(a^2 - 2*a*b + b^2)*c^3*d^2 + (a^2 - 2*a*b + b^2)*c*d^3)*x))*sqrt(((9*c^8 - 12*c^6*d - 2*c^4*d^2 + 4*c^2*d^3 + d^4)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3) + (9*(a*b - b^2)*c^6*d - 3*(a*b - b^2)*c^4*d^2 - 5*(a*b - b^2)*c^2*d^3 - (a*b - b^2)*d^4 - (9*(a - b)*c^6*d - 3*(a - b)*c^4*d^2 - 5*(a - b)*c^2*d^3 - (a - b)*d^4)*x - (3*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^5*d^2 - 2*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^3*d^3 - (a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c*d^4 - (3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^5*d^2 - 2*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^3*d^3 - (a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c*d^4)*x)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)))*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) + c^3 + 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3) + (9*(a^2*b^2 - 2*a*b^3 + b^4)*c^6*d + 15*(a^2*b^2 - 2*a*b^3 + b^4)*c^4*d^2 + 7*(a^2*b^2 - 2*a*b^3 + b^4)*c^2*d^3 + (a^2*b^2 - 2*a*b^3 + b^4)*d^4 + (9*(a^2 - 2*a*b + b^2)*c^6*d + 15*(a^2 - 2*a*b + b^2)*c^4*d^2 + 7*(a^2 - 2*a*b + b^2)*c^2*d^3 + (a^2 - 2*a*b + b^2)*d^4)*x^2 - 2*(9*(a^2*b - 2*a*b^2 + b^3)*c^6*d + 15*(a^2*b - 2*a*b^2 + b^3)*c^4*d^2 + 7*(a^2*b - 2*a*b^2 + b^3)*c^2*d^3 + (a^2*b - 2*a*b^2 + b^3)*d^4)*x - 2*(3*(a^5*b^2 - 5*a^4*b^3 + 10*a^3*b^4 - 10*a^2*b^5 + 5*a*b^6 - b^7)*c^3*d^3 + (a^5*b^2 - 5*a^4*b^3 + 10*a^3*b^4 - 10*a^2*b^5 + 5*a*b^6 - b^7)*c*d^4 + (3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^3*d^3 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c*d^4)*x^2 - 2*(3*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^3*d^3 + (a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c*d^4)*x)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)))*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) + c^3 + 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3))/(b^2 - 2*b*x + x^2))*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) + c^3 + 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3) - 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(sqrt(3)*(3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^6*d^3 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^4*d^4 - 3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^2*d^5 - (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d^6)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) - 2*sqrt(3)*(9*(a^2 - 2*a*b + b^2)*c^7*d^2 - 3*(a^2 - 2*a*b + b^2)*c^5*d^3 - 5*(a^2 - 2*a*b + b^2)*c^3*d^4 - (a^2 - 2*a*b + b^2)*c*d^5))*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) + c^3 + 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3) + sqrt(3)*(9*b*c^10 - 21*b*c^8*d + 10*b*c^6*d^2 + 6*b*c^4*d^3 - 3*b*c^2*d^4 - b*d^5 - (9*c^10 - 21*c^8*d + 10*c^6*d^2 + 6*c^4*d^3 - 3*c^2*d^4 - d^5)*x))/(9*b*c^10 - 21*b*c^8*d + 10*b*c^6*d^2 + 6*b*c^4*d^3 - 3*b*c^2*d^4 - b*d^5 - (9*c^10 - 21*c^8*d + 10*c^6*d^2 + 6*c^4*d^3 - 3*c^2*d^4 - d^5)*x)) + sqrt(3)*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) - c^3 - 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3)*arctan(1/3*(2*(sqrt(3)*((a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^2*d^3 + (a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*d^4 - ((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^2*d^3 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d^4)*x)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) + 2*sqrt(3)*(3*(a^2*b - 2*a*b^2 + b^3)*c^3*d^2 + (a^2*b - 2*a*b^2 + b^3)*c*d^3 - (3*(a^2 - 2*a*b + b^2)*c^3*d^2 + (a^2 - 2*a*b + b^2)*c*d^3)*x))*sqrt(((9*c^8 - 12*c^6*d - 2*c^4*d^2 + 4*c^2*d^3 + d^4)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3) + (9*(a*b - b^2)*c^6*d - 3*(a*b - b^2)*c^4*d^2 - 5*(a*b - b^2)*c^2*d^3 - (a*b - b^2)*d^4 - (9*(a - b)*c^6*d - 3*(a - b)*c^4*d^2 - 5*(a - b)*c^2*d^3 - (a - b)*d^4)*x + (3*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^5*d^2 - 2*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^3*d^3 - (a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c*d^4 - (3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^5*d^2 - 2*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^3*d^3 - (a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c*d^4)*x)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)))*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) - c^3 - 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3) + (9*(a^2*b^2 - 2*a*b^3 + b^4)*c^6*d + 15*(a^2*b^2 - 2*a*b^3 + b^4)*c^4*d^2 + 7*(a^2*b^2 - 2*a*b^3 + b^4)*c^2*d^3 + (a^2*b^2 - 2*a*b^3 + b^4)*d^4 + (9*(a^2 - 2*a*b + b^2)*c^6*d + 15*(a^2 - 2*a*b + b^2)*c^4*d^2 + 7*(a^2 - 2*a*b + b^2)*c^2*d^3 + (a^2 - 2*a*b + b^2)*d^4)*x^2 - 2*(9*(a^2*b - 2*a*b^2 + b^3)*c^6*d + 15*(a^2*b - 2*a*b^2 + b^3)*c^4*d^2 + 7*(a^2*b - 2*a*b^2 + b^3)*c^2*d^3 + (a^2*b - 2*a*b^2 + b^3)*d^4)*x + 2*(3*(a^5*b^2 - 5*a^4*b^3 + 10*a^3*b^4 - 10*a^2*b^5 + 5*a*b^6 - b^7)*c^3*d^3 + (a^5*b^2 - 5*a^4*b^3 + 10*a^3*b^4 - 10*a^2*b^5 + 5*a*b^6 - b^7)*c*d^4 + (3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^3*d^3 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c*d^4)*x^2 - 2*(3*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^3*d^3 + (a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c*d^4)*x)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)))*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) - c^3 - 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3))/(b^2 - 2*b*x + x^2))*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) - c^3 - 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3) - 2*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(sqrt(3)*(3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^6*d^3 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^4*d^4 - 3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^2*d^5 - (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d^6)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) + 2*sqrt(3)*(9*(a^2 - 2*a*b + b^2)*c^7*d^2 - 3*(a^2 - 2*a*b + b^2)*c^5*d^3 - 5*(a^2 - 2*a*b + b^2)*c^3*d^4 - (a^2 - 2*a*b + b^2)*c*d^5))*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) - c^3 - 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3) - sqrt(3)*(9*b*c^10 - 21*b*c^8*d + 10*b*c^6*d^2 + 6*b*c^4*d^3 - 3*b*c^2*d^4 - b*d^5 - (9*c^10 - 21*c^8*d + 10*c^6*d^2 + 6*c^4*d^3 - 3*c^2*d^4 - d^5)*x))/(9*b*c^10 - 21*b*c^8*d + 10*b*c^6*d^2 + 6*b*c^4*d^3 - 3*b*c^2*d^4 - b*d^5 - (9*c^10 - 21*c^8*d + 10*c^6*d^2 + 6*c^4*d^3 - 3*c^2*d^4 - d^5)*x)) - 1/4*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) + c^3 + 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3)*log(((9*c^8 - 12*c^6*d - 2*c^4*d^2 + 4*c^2*d^3 + d^4)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3) + (9*(a*b - b^2)*c^6*d - 3*(a*b - b^2)*c^4*d^2 - 5*(a*b - b^2)*c^2*d^3 - (a*b - b^2)*d^4 - (9*(a - b)*c^6*d - 3*(a - b)*c^4*d^2 - 5*(a - b)*c^2*d^3 - (a - b)*d^4)*x - (3*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^5*d^2 - 2*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^3*d^3 - (a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c*d^4 - (3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^5*d^2 - 2*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^3*d^3 - (a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c*d^4)*x)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)))*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) + c^3 + 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3) + (9*(a^2*b^2 - 2*a*b^3 + b^4)*c^6*d + 15*(a^2*b^2 - 2*a*b^3 + b^4)*c^4*d^2 + 7*(a^2*b^2 - 2*a*b^3 + b^4)*c^2*d^3 + (a^2*b^2 - 2*a*b^3 + b^4)*d^4 + (9*(a^2 - 2*a*b + b^2)*c^6*d + 15*(a^2 - 2*a*b + b^2)*c^4*d^2 + 7*(a^2 - 2*a*b + b^2)*c^2*d^3 + (a^2 - 2*a*b + b^2)*d^4)*x^2 - 2*(9*(a^2*b - 2*a*b^2 + b^3)*c^6*d + 15*(a^2*b - 2*a*b^2 + b^3)*c^4*d^2 + 7*(a^2*b - 2*a*b^2 + b^3)*c^2*d^3 + (a^2*b - 2*a*b^2 + b^3)*d^4)*x - 2*(3*(a^5*b^2 - 5*a^4*b^3 + 10*a^3*b^4 - 10*a^2*b^5 + 5*a*b^6 - b^7)*c^3*d^3 + (a^5*b^2 - 5*a^4*b^3 + 10*a^3*b^4 - 10*a^2*b^5 + 5*a*b^6 - b^7)*c*d^4 + (3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^3*d^3 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c*d^4)*x^2 - 2*(3*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^3*d^3 + (a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c*d^4)*x)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)))*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) + c^3 + 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3))/(b^2 - 2*b*x + x^2)) - 1/4*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) - c^3 - 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3)*log(((9*c^8 - 12*c^6*d - 2*c^4*d^2 + 4*c^2*d^3 + d^4)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(2/3) + (9*(a*b - b^2)*c^6*d - 3*(a*b - b^2)*c^4*d^2 - 5*(a*b - b^2)*c^2*d^3 - (a*b - b^2)*d^4 - (9*(a - b)*c^6*d - 3*(a - b)*c^4*d^2 - 5*(a - b)*c^2*d^3 - (a - b)*d^4)*x + (3*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^5*d^2 - 2*(a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c^3*d^3 - (a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c*d^4 - (3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^5*d^2 - 2*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c^3*d^3 - (a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c*d^4)*x)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)))*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3)*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) - c^3 - 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3) + (9*(a^2*b^2 - 2*a*b^3 + b^4)*c^6*d + 15*(a^2*b^2 - 2*a*b^3 + b^4)*c^4*d^2 + 7*(a^2*b^2 - 2*a*b^3 + b^4)*c^2*d^3 + (a^2*b^2 - 2*a*b^3 + b^4)*d^4 + (9*(a^2 - 2*a*b + b^2)*c^6*d + 15*(a^2 - 2*a*b + b^2)*c^4*d^2 + 7*(a^2 - 2*a*b + b^2)*c^2*d^3 + (a^2 - 2*a*b + b^2)*d^4)*x^2 - 2*(9*(a^2*b - 2*a*b^2 + b^3)*c^6*d + 15*(a^2*b - 2*a*b^2 + b^3)*c^4*d^2 + 7*(a^2*b - 2*a*b^2 + b^3)*c^2*d^3 + (a^2*b - 2*a*b^2 + b^3)*d^4)*x + 2*(3*(a^5*b^2 - 5*a^4*b^3 + 10*a^3*b^4 - 10*a^2*b^5 + 5*a*b^6 - b^7)*c^3*d^3 + (a^5*b^2 - 5*a^4*b^3 + 10*a^3*b^4 - 10*a^2*b^5 + 5*a*b^6 - b^7)*c*d^4 + (3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c^3*d^3 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*c*d^4)*x^2 - 2*(3*(a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c^3*d^3 + (a^5*b - 5*a^4*b^2 + 10*a^3*b^3 - 10*a^2*b^4 + 5*a*b^5 - b^6)*c*d^4)*x)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)))*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) - c^3 - 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(2/3))/(b^2 - 2*b*x + x^2)) + 1/2*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) + c^3 + 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3)*log(((3*c^4 - 2*c^2*d - d^2)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3) - (3*(a*b - b^2)*c^2*d + (a*b - b^2)*d^2 - (3*(a - b)*c^2*d + (a - b)*d^2)*x + ((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c*d^2*x - (a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c*d^2)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)))*(((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) + c^3 + 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3))/(b - x)) + 1/2*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) - c^3 - 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3)*log(((3*c^4 - 2*c^2*d - d^2)*(-a*b^2 - (a + 2*b)*x^2 + x^3 + (2*a*b + b^2)*x)^(1/3) - (3*(a*b - b^2)*c^2*d + (a*b - b^2)*d^2 - (3*(a - b)*c^2*d + (a - b)*d^2)*x - ((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*c*d^2*x - (a^4*b - 4*a^3*b^2 + 6*a^2*b^3 - 4*a*b^4 + b^5)*c*d^2)*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)))*(-((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2*sqrt((9*c^4 + 6*c^2*d + d^2)/((a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6)*d^3)) - c^3 - 3*c*d)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d^2))^(1/3))/(b - x))","B",0
3153,-1,0,0,0.000000," ","integrate((x^2-c*x^2*((a*x+b)/(c*x+d))^(3/2))/(a-b*((a*x+b)/(c*x+d))^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3154,-1,0,0,0.000000," ","integrate((_C7*x+_C6)^2/(_C4+((_C1*x+_C0)/(_C3*x+_C2))^(1/2)*_C5)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
